Subgroups — C₂₃×#62828 #19210454

Order 5888.

6636 conjugacy classes of subgroups.

The subgroup lattice has 2348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3568	C₂	1	2	yes	maximal, complemented
2	C₂₃×#3567	C₂	1	2	yes	maximal, complemented
3	C₂₃×#3566	C₂	1	4	yes	maximal, complemented
4	C₂₃×#3565	C₂	1	2	yes	maximal, complemented
5	C₂₃×#3563	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3562	C₂	1	2	yes	maximal, complemented
7	C₂₃×#3561	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3559	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3553	C₂	1	2	yes	maximal, complemented
11	C₂₃×#3545	C₂	1	2	yes	maximal, complemented
12	C₂₃×#3535	C₂	1	2	yes	maximal, complemented
13	C₂₃×#3534	C₂	1	2	yes	maximal, complemented
14	C₂₃×#3524	C₂	1	2	yes	maximal, complemented
15	C₂₃×#3521	C₂	1	4	yes	maximal, complemented
16	C₂₃×#3521	C₂	1	4	yes	maximal, complemented
17	C₂₃×#3521	C₂	1	2	yes	maximal, complemented
18	C₂₃×#3520	C₂	1	2	yes	maximal, complemented
19	C₂₃×#3519	C₂	1	2	yes	maximal, complemented
20	C₂₃×#3516	C₂	1	2	yes	maximal, complemented
21	C₂₃×#3513	C₂	1	2	yes	maximal, complemented
22	C₂₃×#3513	C₂	1	4	yes	maximal, complemented
23	C₂₃×#3507	C₂	1	2	yes	maximal, complemented
24	C₂₃×#3505	C₂	1	2	yes	maximal, complemented
25	C₂₃×#3495	C₂	1	2	yes	maximal, complemented
26	C₂₃×#3494	C₂	1	2	yes	maximal, complemented
27	C₂₃×#3493	C₂	1	2	yes	maximal, complemented
28	C₂₃×#3491	C₂	1	2	yes	maximal, complemented
29	C₂₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂₃×#564	C₂²	1	2	yes	complemented
33	C₂₃×#563	C₂²	1	4	yes	complemented
34	C₂₃×#563	C₂²	1	2	yes	complemented
35	C₂₃×#563	C₂²	1	2	yes	complemented
36	C₂₃×#563	C₂²	1	2	yes	complemented
37	C₂₃×#562	C₂²	1	4	yes	complemented
38	C₂₃×#562	C₂²	1	4	yes	complemented
39	C₂₃×#562	C₂²	1	2	yes	complemented
40	C₂₃×#562	C₂²	1	2	yes	complemented
41	C₂₃×#562	C₂²	1	2	yes	complemented
42	C₂₃×H(3,𝔽₄)	C₂²	1	2	yes	complemented
43	C₂₃×#560	C₂²	1	4	yes	complemented
44	C₂₃×#559	C₂²	1	2	yes	complemented
45	C₂₃×#559	C₂²	1	2	yes	complemented
46	C₂₃×#559	C₂²	1	4	yes	complemented
47	C₂₃×#557	C₂²	1	2	yes	complemented
48	C₂₃×#557	C₂²	1	2	yes	complemented
49	C₂₃×#556	C₂²	1	4	yes	complemented
50	C₂₃×#556	C₂²	1	4	yes	complemented
51	C₂₃×#556	C₂²	1	4	yes	complemented
52	C₂₃×#556	C₂²	1	2	yes	complemented
53	C₂₃×#556	C₂²	1	2	yes	complemented
54	C₂₃×#556	C₂²	1	4	yes	complemented
55	C₂₃×#556	C₂²	1	4	yes	complemented
56	C₂₃×#556	C₂²	1	2	yes	complemented
57	C₂₃×#555	C₂²	1	4	yes	complemented
58	C₂₃×#555	C₂²	1	4	yes	complemented
59	C₂₃×#555	C₂²	1	2	yes	complemented
60	C₂₃×#554	C₂²	1	4	yes	complemented
61	C₂₃×#554	C₂²	1	2	yes	complemented
62	C₂₃×#554	C₂²	1	2	yes	complemented
63	C₂₃×#554	C₂²	1	2	yes	complemented
64	C₂₃×#554	C₂²	1	4	yes	complemented
65	C₂₃×#554	C₂²	1	4	yes	complemented
66	C₂₃×#553	C₂²	1	4	yes	complemented
67	C₂₃×#553	C₂²	1	4	yes	complemented
68	C₂₃×#553	C₂²	1	4	yes	complemented
69	C₂₃×#553	C₂²	1	4	yes	complemented
70	C₂₃×#553	C₂²	1	2	yes	complemented
71	C₂₃×#553	C₂²	1	4	yes	complemented
72	C₂₃×#553	C₂²	1	2	yes	complemented
73	C₂₃×#553	C₂²	1	4	yes	complemented
74	C₂₃×#553	C₂²	1	4	yes	complemented
75	C₂₃×#553	C₂²	1	4	yes	complemented
76	C₂₃×#553	C₂²	1	2	yes	complemented
77	C₂₃×#553	C₂²	1	4	yes	complemented
78	C₂₃×#553	C₂²	1	4	yes	complemented
79	C₂₃×#553	C₂²	1	2	yes	complemented
80	C₂₃×#552	C₂²	1	4	yes	complemented
81	C₂₃×#552	C₂²	1	4	yes	complemented
82	C₂₃×#552	C₂²	1	4	yes	complemented
83	C₂₃×#552	C₂²	1	4	yes	complemented
84	C₂₃×#552	C₂²	1	4	yes	complemented
85	C₂₃×#552	C₂²	1	4	yes	complemented
86	C₂₃×#552	C₂²	1	4	yes	complemented
87	C₂₃×#552	C₂²	1	4	yes	complemented
88	C₂₃×#552	C₂²	1	2	yes	complemented
89	C₂₃×#552	C₂²	1	2	yes	complemented
90	C₂₃×#552	C₂²	1	4	yes	complemented
91	C₂₃×#552	C₂²	1	2	yes	complemented
92	C₂₃×#552	C₂²	1	4	yes	complemented
93	C₂₃×#552	C₂²	1	4	yes	complemented
94	C₂₃×#552	C₂²	1	2	yes	complemented
95	C₂₃×#551	C₂²	1	4	yes	complemented
96	C₂₃×#551	C₂²	1	4	yes	complemented
97	C₂₃×#551	C₂²	1	4	yes	complemented
98	C₂₃×#551	C₂²	1	4	yes	complemented
99	C₂₃×#551	C₂²	1	4	yes	complemented
100	C₂₃×#551	C₂²	1	4	yes	complemented
101	C₂₃×#551	C₂²	1	4	yes	complemented
102	C₂₃×#551	C₂²	1	4	yes	complemented
103	C₂₃×#551	C₂²	1	4	yes	complemented
104	C₂₃×#551	C₂²	1	4	yes	complemented
105	C₂₃×#551	C₂²	1	4	yes	complemented
106	C₂₃×#551	C₂²	1	4	yes	complemented
107	C₂₃×#551	C₂²	1	4	yes	complemented
108	C₂₃×#551	C₂²	1	4	yes	complemented
109	C₂₃×#550	C₂²	1	2	yes	complemented
110	D₄×Q₈×C₂₃	C₂²	1	2	yes	complemented
111	C₂₃×#548	C₂²	1	2	yes	complemented
112	C₂₃×#548	C₂²	1	2	yes	complemented
113	C₂₃×#548	C₂²	1	2	yes	complemented
114	C₂₃×#548	C₂²	1	2	yes	complemented
115	C₂₃×#547	C₂²	1	4	yes	complemented
116	C₂₃×#547	C₂²	1	2	yes	complemented
117	C₂₃×#547	C₂²	1	4	yes	complemented
118	C₂₃×#547	C₂²	1	2	yes	complemented
119	C₂₃×#546	C₂²	1	4	yes	complemented
120	C₂₃×#546	C₂²	1	4	yes	complemented
121	C₂₃×#546	C₂²	1	2	yes	complemented
122	C₂₃×#546	C₂²	1	2	yes	complemented
123	C₂₃×#546	C₂²	1	4	yes	complemented
124	C₂₃×#546	C₂²	1	2	yes	complemented
125	C₂₃×#546	C₂²	1	4	yes	complemented
126	C₂₃×#546	C₂²	1	4	yes	complemented
127	C₂₃×#546	C₂²	1	4	yes	complemented
128	C₂₃×#546	C₂²	1	4	yes	complemented
129	C₂₃×#546	C₂²	1	2	yes	complemented
130	D₄²×C₂₃	C₂²	1	4	yes	complemented
131	D₄²×C₂₃	C₂²	1	2	yes	complemented
132	C₂₃×#544	C₂²	1	2	yes	complemented
133	C₂₃×#544	C₂²	1	2	yes	complemented
134	C₂₃×#544	C₂²	1	2	yes	complemented
135	C₂₃×#543	C₂²	1	2	yes	complemented
136	C₂₃×#542	C₂²	1	2	yes	complemented
137	C₂₃×#542	C₂²	1	2	yes	complemented
138	C₂₃×#542	C₂²	1	2	yes	complemented
139	C₂₃×#542	C₂²	1	2	yes	complemented
140	C₂₃×#542	C₂²	1	4	yes	complemented
141	C₂₃×#542	C₂²	1	4	yes	complemented
142	C₂₃×#542	C₂²	1	4	yes	complemented
143	C₂₃×#542	C₂²	1	4	yes	complemented
144	C₂₃×#542	C₂²	1	4	yes	complemented
145	C₂₃×#542	C₂²	1	4	yes	complemented
146	C₂₃×#541	C₂²	1	2	yes	complemented
147	C₂₃×#541	C₂²	1	2	yes	complemented
148	C₂₃×#541	C₂²	1	4	yes	complemented
149	C₂₃×#541	C₂²	1	4	yes	complemented
150	C₂₃×#541	C₂²	1	4	yes	complemented
151	C₂₃×#540	C₂²	1	2	yes	complemented
152	C₂₃×#540	C₂²	1	2	yes	complemented
153	C₂₃×#540	C₂²	1	4	yes	complemented
154	C₂₃×#540	C₂²	1	4	yes	complemented
155	C₂₃×#540	C₂²	1	4	yes	complemented
156	C₂₃×#539	C₂²	1	2	yes	—
157	C₂₃×#539	C₂²	1	4	yes	complemented
158	C₂₃×#539	C₂²	1	2	yes	complemented
159	C₂₃×#539	C₂²	1	4	yes	complemented
160	C₂₃×#539	C₂²	1	4	yes	complemented
161	C₂₃×#539	C₂²	1	4	yes	complemented
162	C₂₃×#539	C₂²	1	4	yes	complemented
163	C₂₃×#539	C₂²	1	4	yes	complemented
164	C₂₃×#539	C₂²	1	4	yes	complemented
165	C₂₃×#539	C₂²	1	4	yes	complemented
166	C₂₃×#539	C₂²	1	4	yes	complemented
167	C₂₃×#539	C₂²	1	4	yes	complemented
168	C₂₃×#538	C₂²	1	4	yes	complemented
169	C₂₃×#538	C₂²	1	2	yes	complemented
170	C₂₃×#538	C₂²	1	2	yes	complemented
171	C₂₃×#538	C₂²	1	4	yes	complemented
172	C₂₃×#538	C₂²	1	4	yes	complemented
173	C₂₃×#538	C₂²	1	4	yes	complemented
174	C₂₃×#538	C₂²	1	4	yes	complemented
175	C₂₃×#538	C₂²	1	4	yes	complemented
176	C₂₃×#538	C₂²	1	4	yes	complemented
177	C₂₃×#538	C₂²	1	4	yes	complemented
178	C₂₃×#537	C₂²	1	2	yes	complemented
179	C₂₃×#536	C₂²	1	2	yes	complemented
180	C₂₃×#536	C₂²	1	4	yes	complemented
181	C₂₃×#535	C₂²	1	2	yes	complemented
182	C₂₃×#534	C₂²	1	2	yes	—
183	C₂₃×#534	C₂²	1	4	yes	complemented
184	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
185	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
186	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
187	C₂₃×#533	C₂²	1	2	yes	complemented
188	C₂₃×#532	C₂²	1	2	yes	—
189	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
190	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
191	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
192	C₂₃×#529	C₂²	1	1	yes	characteristic
193	C₂₃×#529	C₂²	1	1	yes	characteristic
194	C₂₃×#529	C₂²	1	1	yes	characteristic, complemented
195	C₂₃×#529	C₂²	1	2	yes	complemented
196	C₂₃×#529	C₂²	1	2	yes	complemented
197	C₂₃×#529	C₂²	1	2	yes	complemented
198	C₂₃×#529	C₂²	1	2	yes	complemented
199	C₂₃×#529	C₂²	1	2	yes	complemented
200	C₂₃×#529	C₂²	1	1	yes	characteristic, complemented
201	C₂₃×#529	C₂²	1	2	yes	complemented
202	C₂₃×#529	C₂²	1	1	yes	characteristic, complemented
203	C₂₃×#529	C₂²	1	2	yes	complemented
204	C₂₃×#529	C₂²	1	1	yes	characteristic, complemented
205	C₂₃×#529	C₂²	1	2	yes	complemented
206	C₂₃×#529	C₂²	1	2	yes	complemented
207	C₂₃×#529	C₂²	1	2	yes	complemented
208	C₂₃×#529	C₂²	1	2	yes	complemented
209	C₂₃×#529	C₂²	1	1	yes	characteristic, complemented
210	C₂₃×#529	C₂²	1	2	yes	complemented
211	C₂₃×#529	C₂²	1	1	yes	characteristic, complemented
212	C₂₃×#529	C₂²	1	2	yes	complemented
213	C₂₃×#529	C₂²	1	2	yes	complemented
214	C₂₃×#529	C₂²	1	2	yes	complemented
215	C₂₃×#529	C₂²	1	2	yes	complemented
216	C₂₃×#529	C₂²	1	2	yes	complemented
217	C₂₃×#529	C₂²	1	2	yes	complemented
218	C₂₃×#529	C₂²	1	4	yes	complemented
219	C₂₃×#529	C₂²	1	4	yes	complemented
220	C₂₃×#529	C₂²	1	2	yes	complemented
221	C₂₃×#529	C₂²	1	2	yes	complemented
222	C₂₃×#529	C₂²	1	4	yes	complemented
223	C₂₃×#529	C₂²	1	4	yes	complemented
224	C₂₃×#529	C₂²	1	4	yes	complemented
225	C₂×C₂₃×#126	C₂²	1	2	yes	complemented
226	C₂×C₂₃×#126	C₂²	1	2	yes	complemented
227	C₂×C₂₃×#126	C₂²	1	4	yes	complemented
228	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
229	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
230	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
231	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
232	C₂₃×#525	C₂²	1	2	yes	—
233	C₂₃×#525	C₂²	1	2	yes	complemented
234	C₂₃×#525	C₂²	1	2	yes	complemented
235	C₂₃×#525	C₂²	1	2	yes	complemented
236	C₂₃×#525	C₂²	1	4	yes	complemented
237	C₂₃×#525	C₂²	1	2	yes	complemented
238	C₂×C₂₃×#123	C₂²	1	2	yes	complemented
239	C₂×C₂₃×#123	C₂²	1	2	yes	complemented
240	C₂×C₂₃×#123	C₂²	1	4	yes	complemented
241	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
242	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
243	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
244	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
245	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
246	C₂×C₂₃×#121	C₂²	1	2	yes	complemented
247	C₂₃×#520	C₂²	1	4	yes	complemented
248	C₂₃×#520	C₂²	1	2	yes	complemented
249	C₂₃×#520	C₂²	1	2	yes	complemented
250	C₂₃×#520	C₂²	1	4	yes	complemented
251	C₂₃×#519	C₂²	1	2	yes	complemented
252	C₂₃×#518	C₂²	1	4	yes	complemented
253	C₂₃×#518	C₂²	1	2	yes	complemented
254	C₂₃×#518	C₂²	1	4	yes	complemented
255	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
256	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
257	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
258	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
259	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
260	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
261	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
262	C₂×C₄×D₄×C₂₃	C₂²	1	2	yes	complemented
263	C₂×C₄×D₄×C₂₃	C₂²	1	2	yes	complemented
264	C₂×C₂₃×#117	C₂²	1	2	yes	complemented
265	C₂×C₂₃×#117	C₂²	1	2	yes	complemented
266	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
267	C₂×#41×C₂₃	C₂³	1	2	yes	—
268	C₂×#41×C₂₃	C₂³	1	2	yes	—
269	C₂×#41×C₂₃	C₂³	1	4	yes	—
270	C₂×#41×C₂₃	C₂³	1	2	yes	—
271	C₂×#41×C₂₃	C₂³	1	2	yes	—
272	C₂×#41×C₂₃	C₂³	1	4	yes	—
273	C₂×#41×C₂₃	C₂³	1	2	yes	—
274	C₂²×Q₈×C₂₃	C₂³	1	2	yes	—
275	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
276	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
277	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
278	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
279	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
280	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
281	C₂²×D₄×C₂₃	C₂³	1	4	yes	—
282	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
283	C₂²×D₄×C₂₃	C₂³	1	4	yes	—
284	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
285	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
287	C₂³×C₄×C₂₃	C₂³	1	2	yes	—
288	C₂³×C₄×C₂₃	C₂³	1	2	yes	—
289	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
290	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
291	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
292	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
293	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
294	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
295	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
296	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
297	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
298	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
299	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
300	C₂₃×#127	C₂³	1	2	yes	—
301	C₂₃×#127	C₂³	1	4	yes	—
302	C₂₃×#127	C₂³	1	1	yes	characteristic
303	C₂₃×#126	C₂³	1	4	yes	—
304	C₂₃×#126	C₂³	1	2	yes	—
305	C₂₃×#126	C₂³	1	4	yes	—
306	C₂₃×#126	C₂³	1	4	yes	—
307	C₂₃×#126	C₂³	1	4	yes	—
308	C₂₃×#126	C₂³	1	4	yes	—
309	C₂₃×#126	C₂³	1	4	yes	—
310	C₂₃×#126	C₂³	1	2	yes	—
311	C₂₃×#126	C₂³	1	4	yes	—
312	C₂₃×#126	C₂³	1	4	yes	—
313	C₂₃×#126	C₂³	1	4	yes	—
314	C₂₃×#126	C₂³	1	4	yes	—
315	C₂₃×#126	C₂³	1	4	yes	—
316	C₂₃×#126	C₂³	1	4	yes	—
317	C₂₃×#126	C₂³	1	4	yes	—
318	C₂₃×#126	C₂³	1	4	yes	—
319	C₂₃×#126	C₂³	1	4	yes	—
320	C₂₃×#126	C₂³	1	4	yes	—
321	C₂₃×#126	C₂³	1	4	yes	—
322	C₂₃×#126	C₂³	1	4	yes	—
323	C₂₃×#126	C₂³	1	4	yes	—
324	C₂₃×#126	C₂³	1	2	yes	—
325	C₂₃×#126	C₂³	1	4	yes	—
326	C₂₃×#126	C₂³	1	4	yes	—
327	C₂₃×#126	C₂³	1	4	yes	—
328	C₂₃×#126	C₂³	1	4	yes	—
329	C₂₃×#126	C₂³	1	4	yes	—
330	C₂₃×#126	C₂³	1	2	yes	—
331	C₂₃×#126	C₂³	1	4	yes	—
332	C₂₃×#126	C₂³	1	4	yes	—
333	C₂₃×#126	C₂³	1	4	yes	—
334	C₂₃×#126	C₂³	1	2	yes	—
335	C₂₃×#126	C₂³	1	4	yes	—
336	C₂₃×#126	C₂³	1	2	yes	—
337	C₂₃×#126	C₂³	1	2	yes	—
338	C₂₃×#126	C₂³	1	4	yes	—
339	C₂₃×#126	C₂³	1	2	yes	—
340	C₂₃×#126	C₂³	1	4	yes	—
341	C₂₃×#125	C₂³	1	1	yes	characteristic
342	C₂₃×#125	C₂³	1	1	yes	characteristic
343	C₂₃×#125	C₂³	1	2	yes	—
344	C₂₃×#125	C₂³	1	4	yes	—
345	C₂₃×#125	C₂³	1	4	yes	—
346	C₂₃×#125	C₂³	1	4	yes	—
347	C₂₃×#125	C₂³	1	4	yes	—
348	C₂₃×#125	C₂³	1	4	yes	—
349	C₂₃×#125	C₂³	1	4	yes	—
350	C₂₃×#125	C₂³	1	4	yes	—
351	C₂₃×#125	C₂³	1	4	yes	—
352	C₂₃×#125	C₂³	1	4	yes	—
353	C₂₃×#125	C₂³	1	2	yes	—
354	C₂₃×#125	C₂³	1	4	yes	—
355	C₂₃×#125	C₂³	1	4	yes	—
356	C₂₃×#125	C₂³	1	4	yes	—
357	C₂₃×#125	C₂³	1	2	yes	—
358	C₂₃×#125	C₂³	1	2	yes	—
359	C₂₃×#125	C₂³	1	4	yes	—
360	C₂₃×#125	C₂³	1	4	yes	—
361	C₂₃×#125	C₂³	1	4	yes	—
362	C₂₃×#125	C₂³	1	4	yes	—
363	C₂₃×#125	C₂³	1	2	yes	—
364	C₂₃×#125	C₂³	1	1	yes	characteristic
365	C₂₃×#125	C₂³	1	2	yes	—
366	C₂₃×#125	C₂³	1	2	yes	—
367	C₂₃×#125	C₂³	1	1	yes	characteristic
368	C₂₃×#125	C₂³	1	2	yes	—
369	C₂₃×#125	C₂³	1	2	yes	—
370	C₂₃×#125	C₂³	1	2	yes	—
371	C₂₃×#125	C₂³	1	2	yes	—
372	C₂₃×#124	C₂³	1	2	yes	—
373	C₂₃×#124	C₂³	1	4	yes	—
374	C₂₃×#124	C₂³	1	4	yes	—
375	C₂₃×#124	C₂³	1	4	yes	—
376	C₂₃×#124	C₂³	1	4	yes	—
377	C₂₃×#124	C₂³	1	2	yes	—
378	C₂₃×#124	C₂³	1	2	yes	—
379	C₂₃×#124	C₂³	1	1	yes	characteristic
380	C₂₃×#124	C₂³	1	2	yes	—
381	C₂₃×#124	C₂³	1	4	yes	—
382	C₂₃×#124	C₂³	1	4	yes	—
383	C₂₃×#124	C₂³	1	4	yes	—
384	C₂₃×#124	C₂³	1	4	yes	—
385	C₂₃×#124	C₂³	1	4	yes	—
386	C₂₃×#124	C₂³	1	1	yes	characteristic
387	C₂₃×#124	C₂³	1	4	yes	—
388	C₂₃×#124	C₂³	1	4	yes	—
389	C₂₃×#124	C₂³	1	4	yes	—
390	C₂₃×#124	C₂³	1	4	yes	—
391	C₂₃×#124	C₂³	1	4	yes	—
392	C₂₃×#124	C₂³	1	2	yes	—
393	C₂₃×#124	C₂³	1	1	yes	characteristic
394	C₂₃×#124	C₂³	1	2	yes	—
395	C₂₃×#124	C₂³	1	2	yes	—
396	C₂₃×#124	C₂³	1	1	yes	characteristic
397	C₂₃×#124	C₂³	1	2	yes	—
398	C₂₃×#124	C₂³	1	2	yes	—
399	C₂₃×#124	C₂³	1	2	yes	—
400	C₂₃×#124	C₂³	1	2	yes	—
401	C₂₃×#123	C₂³	1	2	yes	—
402	C₂₃×#123	C₂³	1	4	yes	—
403	C₂₃×#123	C₂³	1	4	yes	—
404	C₂₃×#123	C₂³	1	4	yes	—
405	C₂₃×#123	C₂³	1	4	yes	—
406	C₂₃×#123	C₂³	1	4	yes	—
407	C₂₃×#123	C₂³	1	4	yes	—
408	C₂₃×#123	C₂³	1	4	yes	—
409	C₂₃×#123	C₂³	1	4	yes	—
410	C₂₃×#123	C₂³	1	4	yes	—
411	C₂₃×#123	C₂³	1	4	yes	—
412	C₂₃×#123	C₂³	1	4	yes	—
413	C₂₃×#123	C₂³	1	4	yes	—
414	C₂₃×#123	C₂³	1	4	yes	—
415	C₂₃×#123	C₂³	1	4	yes	—
416	C₂₃×#123	C₂³	1	4	yes	—
417	C₂₃×#123	C₂³	1	2	yes	—
418	C₂₃×#123	C₂³	1	4	yes	—
419	C₂₃×#123	C₂³	1	4	yes	—
420	C₂₃×#123	C₂³	1	4	yes	—
421	C₂₃×#123	C₂³	1	4	yes	—
422	C₂₃×#123	C₂³	1	4	yes	—
423	C₂₃×#123	C₂³	1	4	yes	—
424	C₂₃×#123	C₂³	1	4	yes	—
425	C₂₃×#123	C₂³	1	4	yes	—
426	C₂₃×#123	C₂³	1	4	yes	—
427	C₂₃×#123	C₂³	1	4	yes	—
428	C₂₃×#123	C₂³	1	4	yes	—
429	C₂₃×#123	C₂³	1	4	yes	—
430	C₂₃×#123	C₂³	1	2	yes	—
431	C₂₃×#123	C₂³	1	4	yes	—
432	C₂₃×#123	C₂³	1	4	yes	—
433	C₂₃×#123	C₂³	1	4	yes	—
434	C₂₃×#123	C₂³	1	4	yes	—
435	C₂₃×#123	C₂³	1	4	yes	—
436	C₂₃×#123	C₂³	1	4	yes	—
437	C₂₃×#123	C₂³	1	4	yes	—
438	C₂₃×#123	C₂³	1	4	yes	—
439	C₂₃×#123	C₂³	1	2	yes	—
440	C₂₃×#123	C₂³	1	4	yes	—
441	C₂₃×#123	C₂³	1	2	yes	—
442	C₂₃×#123	C₂³	1	2	yes	—
443	C₂₃×#123	C₂³	1	4	yes	—
444	C₂₃×#123	C₂³	1	4	yes	—
445	C₂₃×#123	C₂³	1	2	yes	—
446	C₂₃×#123	C₂³	1	4	yes	—
447	C₂₃×#123	C₂³	1	2	yes	—
448	C₂₃×#123	C₂³	1	4	yes	—
449	C₂₃×#123	C₂³	1	4	yes	—
450	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
451	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
452	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
453	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
454	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
455	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
456	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
457	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
458	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
459	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
460	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
461	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
462	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
463	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
464	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
465	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
466	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
467	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
468	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
469	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
470	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
471	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
472	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
473	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
474	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
475	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
476	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
477	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
478	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
479	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
480	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
481	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
482	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
483	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
484	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
485	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
486	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
487	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
488	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
489	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
490	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
491	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
492	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
493	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
494	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
495	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
496	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
497	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
498	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
499	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
500	C₂₃×#121	C₂³	1	2	yes	—
501	C₂₃×#121	C₂³	1	2	yes	—
502	C₂₃×#121	C₂³	1	4	yes	—
503	C₂₃×#121	C₂³	1	4	yes	—
504	C₂₃×#121	C₂³	1	4	yes	—
505	C₂₃×#121	C₂³	1	4	yes	—
506	C₂₃×#121	C₂³	1	4	yes	—
507	C₂₃×#121	C₂³	1	2	yes	—
508	C₂₃×#121	C₂³	1	4	yes	—
509	C₂₃×#121	C₂³	1	4	yes	—
510	C₂₃×#121	C₂³	1	2	yes	—
511	C₂₃×#121	C₂³	1	4	yes	—
512	C₂₃×#121	C₂³	1	4	yes	—
513	C₂₃×#121	C₂³	1	2	yes	—
514	C₂₃×#121	C₂³	1	4	yes	—
515	C₂₃×#121	C₂³	1	4	yes	—
516	C₂₃×#121	C₂³	1	4	yes	—
517	C₂₃×#121	C₂³	1	4	yes	—
518	C₂₃×#121	C₂³	1	4	yes	—
519	C₂₃×#121	C₂³	1	4	yes	—
520	C₂₃×#121	C₂³	1	4	yes	—
521	C₂₃×#121	C₂³	1	4	yes	—
522	C₂₃×#121	C₂³	1	4	yes	—
523	C₂₃×#121	C₂³	1	2	yes	—
524	C₂₃×#121	C₂³	1	2	yes	—
525	C₂₃×#121	C₂³	1	2	yes	—
526	C₂₃×#121	C₂³	1	2	yes	—
527	C₂₃×#121	C₂³	1	4	yes	—
528	C₂₃×#121	C₂³	1	4	yes	—
529	C₂₃×#121	C₂³	1	4	yes	—
530	C₂₃×#121	C₂³	1	4	yes	—
531	C₂₃×#121	C₂³	1	4	yes	—
532	C₂₃×#121	C₂³	1	4	yes	—
533	C₂₃×#121	C₂³	1	4	yes	—
534	C₂₃×#121	C₂³	1	4	yes	—
535	C₂₃×#121	C₂³	1	2	yes	—
536	C₂₃×#121	C₂³	1	2	yes	—
537	C₂₃×#121	C₂³	1	2	yes	—
538	C₂₃×#121	C₂³	1	1	yes	characteristic
539	C₂₃×#121	C₂³	1	1	yes	characteristic
540	C₂₃×#121	C₂³	1	1	yes	characteristic
541	C₂₃×#121	C₂³	1	2	yes	—
542	C₂₃×#121	C₂³	1	1	yes	characteristic
543	C₂₃×#121	C₂³	1	2	yes	—
544	C₂₃×#121	C₂³	1	2	yes	—
545	C₂₃×#121	C₂³	1	2	yes	—
546	C₂₃×#120	C₂³	1	4	yes	—
547	C₂₃×#120	C₂³	1	4	yes	—
548	C₂₃×#120	C₂³	1	4	yes	—
549	C₂₃×#120	C₂³	1	4	yes	—
550	C₂₃×#120	C₂³	1	4	yes	—
551	C₂₃×#120	C₂³	1	4	yes	—
552	C₂₃×#120	C₂³	1	4	yes	—
553	C₂₃×#120	C₂³	1	4	yes	—
554	C₂₃×#120	C₂³	1	4	yes	—
555	C₂₃×#120	C₂³	1	4	yes	—
556	C₂₃×#120	C₂³	1	4	yes	—
557	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
558	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
559	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
560	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
561	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
562	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
563	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
564	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
565	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
566	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
567	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
568	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
569	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
570	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
571	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
572	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
573	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
574	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
575	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
576	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
577	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
578	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
579	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
580	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
581	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
582	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
583	C₄×D₄×C₂₃	C₂³	1	2	yes	—
584	C₄×D₄×C₂₃	C₂³	1	2	yes	—
585	C₄×D₄×C₂₃	C₂³	1	4	yes	—
586	C₄×D₄×C₂₃	C₂³	1	4	yes	—
587	C₄×D₄×C₂₃	C₂³	1	4	yes	—
588	C₄×D₄×C₂₃	C₂³	1	4	yes	—
589	C₄×D₄×C₂₃	C₂³	1	2	yes	—
590	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
591	C₄×D₄×C₂₃	C₂³	1	2	yes	—
592	C₄×D₄×C₂₃	C₂³	1	4	yes	—
593	C₄×D₄×C₂₃	C₂³	1	4	yes	—
594	C₄×D₄×C₂₃	C₂³	1	4	yes	—
595	C₄×D₄×C₂₃	C₂³	1	4	yes	—
596	C₄×D₄×C₂₃	C₂³	1	2	yes	—
597	C₄×D₄×C₂₃	C₂³	1	2	yes	—
598	C₄×D₄×C₂₃	C₂³	1	4	yes	—
599	C₄×D₄×C₂₃	C₂³	1	4	yes	—
600	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
601	C₄×D₄×C₂₃	C₂³	1	2	yes	—
602	C₄×D₄×C₂₃	C₂³	1	2	yes	—
603	C₄×D₄×C₂₃	C₂³	1	2	yes	—
604	C₄×D₄×C₂₃	C₂³	1	2	yes	—
605	C₄×D₄×C₂₃	C₂³	1	4	yes	—
606	C₄×D₄×C₂₃	C₂³	1	4	yes	—
607	C₄×D₄×C₂₃	C₂³	1	4	yes	—
608	C₄×D₄×C₂₃	C₂³	1	4	yes	—
609	C₄×D₄×C₂₃	C₂³	1	4	yes	—
610	C₄×D₄×C₂₃	C₂³	1	4	yes	—
611	C₄×D₄×C₂₃	C₂³	1	4	yes	—
612	C₄×D₄×C₂₃	C₂³	1	4	yes	—
613	C₄×D₄×C₂₃	C₂³	1	4	yes	—
614	C₄×D₄×C₂₃	C₂³	1	4	yes	—
615	C₄×D₄×C₂₃	C₂³	1	4	yes	—
616	C₄×D₄×C₂₃	C₂³	1	4	yes	—
617	C₄×D₄×C₂₃	C₂³	1	4	yes	—
618	C₄×D₄×C₂₃	C₂³	1	4	yes	—
619	C₄×D₄×C₂₃	C₂³	1	4	yes	—
620	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
621	C₄×D₄×C₂₃	C₂³	1	4	yes	—
622	C₄×D₄×C₂₃	C₂³	1	4	yes	—
623	C₄×D₄×C₂₃	C₂³	1	4	yes	—
624	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
625	C₄×D₄×C₂₃	C₂³	1	4	yes	—
626	C₄×D₄×C₂₃	C₂³	1	2	yes	—
627	C₄×D₄×C₂₃	C₂³	1	2	yes	—
628	C₄×D₄×C₂₃	C₂³	1	2	yes	—
629	C₄×D₄×C₂₃	C₂³	1	2	yes	—
630	C₄×D₄×C₂₃	C₂³	1	4	yes	—
631	C₄×D₄×C₂₃	C₂³	1	4	yes	—
632	C₄×D₄×C₂₃	C₂³	1	2	yes	—
633	C₄×D₄×C₂₃	C₂³	1	2	yes	—
634	C₄×D₄×C₂₃	C₂³	1	4	yes	—
635	C₄×D₄×C₂₃	C₂³	1	2	yes	—
636	C₄×D₄×C₂₃	C₂³	1	2	yes	—
637	C₄×D₄×C₂₃	C₂³	1	2	yes	—
638	C₄×D₄×C₂₃	C₂³	1	2	yes	—
639	C₄×D₄×C₂₃	C₂³	1	4	yes	—
640	C₄×D₄×C₂₃	C₂³	1	2	yes	—
641	C₄×D₄×C₂₃	C₂³	1	4	yes	—
642	C₄×D₄×C₂₃	C₂³	1	4	yes	—
643	C₄×D₄×C₂₃	C₂³	1	2	yes	—
644	C₄×D₄×C₂₃	C₂³	1	4	yes	—
645	C₄×D₄×C₂₃	C₂³	1	2	yes	—
646	C₄×D₄×C₂₃	C₂³	1	2	yes	—
647	C₂₃×#117	C₂³	1	4	yes	—
648	C₂₃×#117	C₂³	1	2	yes	—
649	C₂₃×#117	C₂³	1	2	yes	—
650	C₂₃×#117	C₂³	1	2	yes	—
651	C₂₃×#117	C₂³	1	4	yes	—
652	C₂₃×#117	C₂³	1	4	yes	—
653	C₂₃×#117	C₂³	1	4	yes	—
654	C₂₃×#117	C₂³	1	2	yes	—
655	C₂₃×#117	C₂³	1	4	yes	—
656	C₂₃×#117	C₂³	1	4	yes	—
657	C₂₃×#117	C₂³	1	4	yes	—
658	C₂₃×#117	C₂³	1	4	yes	—
659	C₂₃×#117	C₂³	1	4	yes	—
660	C₂₃×#117	C₂³	1	4	yes	—
661	C₂₃×#117	C₂³	1	4	yes	—
662	C₂₃×#117	C₂³	1	4	yes	—
663	C₂₃×#117	C₂³	1	4	yes	—
664	C₂₃×#117	C₂³	1	4	yes	—
665	C₂₃×#117	C₂³	1	4	yes	—
666	C₂₃×#117	C₂³	1	4	yes	—
667	C₂₃×#117	C₂³	1	4	yes	—
668	C₂₃×#117	C₂³	1	4	yes	—
669	C₂₃×#117	C₂³	1	4	yes	—
670	C₂₃×#117	C₂³	1	4	yes	—
671	C₂₃×#117	C₂³	1	2	yes	—
672	C₂₃×#117	C₂³	1	4	yes	—
673	C₂₃×#117	C₂³	1	2	yes	—
674	C₂₃×#117	C₂³	1	2	yes	—
675	C₂₃×#117	C₂³	1	2	yes	—
676	C₂₃×#117	C₂³	1	2	yes	—
677	C₂₃×#117	C₂³	1	2	yes	—
678	C₂₃×#117	C₂³	1	2	yes	—
679	C₂₃×#117	C₂³	1	2	yes	—
680	C₂₃×#117	C₂³	1	2	yes	—
681	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
682	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
683	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
684	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
685	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
686	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
687	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
688	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
689	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
690	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
691	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
692	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
693	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
694	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
695	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
696	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
697	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
698	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
699	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
700	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
701	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
702	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
703	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
704	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
705	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
706	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
707	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
708	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
709	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
710	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
711	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
712	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
713	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
714	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
715	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
716	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
717	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
718	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
719	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
720	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
721	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
722	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
723	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
724	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
725	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
726	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
727	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
728	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
729	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
730	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
731	C₂×C₄²×C₂₃	C₂³	1	2	yes	—
732	C₂×C₄²×C₂₃	C₂³	1	2	yes	—
733	C₂×C₄²×C₂₃	C₂³	1	4	yes	—
734	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
735	C₂⁴×C₂₃	C₂⁴	1	2	yes	—
736	C₂⁴×C₂₃	C₂⁴	1	2	yes	—
737	C₂⁴×C₂₃	C₂⁴	1	4	yes	—
738	#41×C₂₃	—	4	4	no	—
739	#41×C₂₃	—	4	4	no	—
740	#41×C₂₃	—	4	8	no	—
741	#41×C₂₃	—	4	8	no	—
742	#41×C₂₃	—	4	4	no	—
743	#41×C₂₃	—	4	4	no	—
744	#41×C₂₃	—	4	4	no	—
745	C₂×Q₈×C₂₃	—	4	2	no	—
746	C₂×Q₈×C₂₃	—	4	2	no	—
747	C₂×Q₈×C₂₃	—	4	4	no	—
748	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
749	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
750	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
751	C₂×Q₈×C₂₃	C₂⁴	1	4	yes	—
752	C₂×Q₈×C₂₃	C₂⁴	1	4	yes	—
753	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
754	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
755	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
756	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
757	C₂×Q₈×C₂₃	C₂⁴	1	4	yes	—
758	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
759	C₂×D₄×C₂₃	—	4	2	no	—
760	C₂×D₄×C₂₃	—	4	4	no	—
761	C₂×D₄×C₂₃	—	4	2	no	—
762	C₂×D₄×C₂₃	—	4	4	no	—
763	C₂×D₄×C₂₃	—	4	8	no	—
764	C₂×D₄×C₂₃	—	4	4	no	—
765	C₂×D₄×C₂₃	—	4	8	no	—
766	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
767	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
768	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
769	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
770	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
771	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
772	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
773	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
774	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
775	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
776	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
777	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
778	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
779	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
780	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
781	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
782	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
783	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
784	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
785	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
786	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
787	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
788	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
789	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
790	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
791	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
792	C₂²×C₄×C₂₃	—	4	2	no	—
793	C₂²×C₄×C₂₃	—	4	4	no	—
794	C₂²×C₄×C₂₃	—	4	2	no	—
795	C₂²×C₄×C₂₃	—	4	4	no	—
796	C₂²×C₄×C₂₃	—	4	2	no	—
797	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
798	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
799	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
800	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
801	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
802	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
803	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
804	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
805	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
806	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
807	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
808	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
809	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
810	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
811	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
812	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
813	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
814	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
815	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
816	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
817	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
818	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
819	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
820	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
821	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
822	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
823	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
824	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
825	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
826	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
827	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
828	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
829	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
830	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
831	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
832	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
833	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
834	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
835	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
836	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
837	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
838	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
839	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
840	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
841	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
842	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
843	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
844	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
845	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
846	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
847	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
848	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
849	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
850	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
851	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
852	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
853	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
854	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
855	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
856	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
857	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
858	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
859	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
860	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
861	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
862	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
863	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
864	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
865	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
866	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
867	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
868	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
869	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
870	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
871	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
872	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
873	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
874	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
875	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
876	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
877	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
878	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
879	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
880	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
881	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
882	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
883	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
884	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
885	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
886	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
887	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
888	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
889	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
890	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
891	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
892	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
893	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
894	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
895	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
896	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
897	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
898	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
899	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
900	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
901	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
902	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
903	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
904	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
905	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
906	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
907	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
908	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
909	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
910	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
911	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
912	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
913	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
914	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
915	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
916	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
917	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
918	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
919	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
920	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
921	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
922	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
923	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
924	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
925	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
926	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
927	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
928	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
929	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
930	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
931	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
932	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
933	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
934	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
935	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
936	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
937	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
938	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
939	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
940	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
941	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
942	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
943	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
944	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
945	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
946	C₂²⋊C₄×C₂₃	C₂⁴	1	2	yes	—
947	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
948	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
949	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
950	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
951	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
952	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
953	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
954	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
955	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
956	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
957	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
958	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
959	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
960	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
961	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
962	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
963	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
964	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
965	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
966	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
967	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
968	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
969	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
970	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
971	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
972	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
973	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
974	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
975	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
976	C₄²×C₂₃	C₂⁴	1	2	yes	—
977	C₄²×C₂₃	C₂⁴	1	4	yes	—
978	C₄²×C₂₃	C₂⁴	1	4	yes	—
979	C₄²×C₂₃	C₂⁴	1	4	yes	—
980	C₄²×C₂₃	C₂⁴	1	4	yes	—
981	C₄²×C₂₃	C₂⁴	1	4	yes	—
982	C₄²×C₂₃	C₂⁴	1	2	yes	—
983	C₄²×C₂₃	C₂⁴	1	2	yes	—
984	C₄²×C₂₃	C₂⁴	1	2	yes	—
985	C₄²×C₂₃	C₂⁴	1	4	yes	—
986	C₄²×C₂₃	C₂⁴	1	4	yes	—
987	C₄²×C₂₃	C₂⁴	1	4	yes	—
988	C₄²×C₂₃	C₂⁴	1	4	yes	—
989	C₄²×C₂₃	C₂⁴	1	4	yes	—
990	C₄²×C₂₃	C₂⁴	1	4	yes	—
991	#62828	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
992	C₂³×C₂₃	—	2	2	no	—
993	C₂³×C₂₃	—	2	2	no	—
994	C₂³×C₂₃	—	2	4	no	—
995	C₂³×C₂₃	—	2	4	no	—
996	C₂³×C₂₃	—	4	1	no	—
997	C₂³×C₂₃	—	4	2	no	—
998	C₂³×C₂₃	—	4	2	no	—
999	C₂³×C₂₃	—	4	2	no	—
1000	C₂³×C₂₃	—	4	2	no	—
1001	C₂³×C₂₃	—	4	4	no	—
1002	C₂³×C₂₃	—	4	4	no	—
1003	C₂³×C₂₃	—	4	4	no	—
1004	C₂³×C₂₃	C₂⁵	1	2	yes	—
1005	C₂³×C₂₃	C₂⁵	1	4	yes	—
1006	C₂³×C₂₃	C₂⁵	1	2	yes	—
1007	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
1008	C₂³×C₂₃	C₂⁵	1	4	yes	—
1009	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
1010	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
1011	Q₈×C₂₃	—	2	4	no	—
1012	Q₈×C₂₃	—	2	4	no	—
1013	Q₈×C₂₃	—	4	1	no	—
1014	Q₈×C₂₃	—	4	2	no	—
1015	Q₈×C₂₃	—	4	4	no	—
1016	Q₈×C₂₃	—	4	1	no	—
1017	Q₈×C₂₃	—	4	2	no	—
1018	Q₈×C₂₃	—	4	4	no	—
1019	Q₈×C₂₃	—	4	2	no	—
1020	Q₈×C₂₃	—	4	2	no	—
1021	Q₈×C₂₃	—	4	4	no	—
1022	D₄×C₂₃	—	2	4	no	—
1023	D₄×C₂₃	—	2	8	no	—
1024	D₄×C₂₃	—	2	4	no	—
1025	D₄×C₂₃	—	2	8	no	—
1026	D₄×C₂₃	—	2	8	no	—
1027	D₄×C₂₃	—	2	4	no	—
1028	D₄×C₂₃	—	2	4	no	—
1029	D₄×C₂₃	—	4	4	no	—
1030	D₄×C₂₃	—	4	1	no	—
1031	D₄×C₂₃	—	4	2	no	—
1032	D₄×C₂₃	—	4	2	no	—
1033	D₄×C₂₃	—	4	1	no	—
1034	D₄×C₂₃	—	4	4	no	—
1035	D₄×C₂₃	—	4	2	no	—
1036	D₄×C₂₃	—	4	4	no	—
1037	D₄×C₂₃	—	4	4	no	—
1038	D₄×C₂₃	—	4	4	no	—
1039	D₄×C₂₃	—	4	2	no	—
1040	D₄×C₂₃	—	4	4	no	—
1041	D₄×C₂₃	—	4	4	no	—
1042	D₄×C₂₃	—	4	2	no	—
1043	D₄×C₂₃	—	4	2	no	—
1044	D₄×C₂₃	—	4	4	no	—
1045	D₄×C₂₃	—	4	4	no	—
1046	D₄×C₂₃	—	4	4	no	—
1047	D₄×C₂₃	—	4	4	no	—
1048	C₂×C₄×C₂₃	—	2	2	no	—
1049	C₂×C₄×C₂₃	—	2	2	no	—
1050	C₂×C₄×C₂₃	—	2	2	no	—
1051	C₂×C₄×C₂₃	—	2	2	no	—
1052	C₂×C₄×C₂₃	—	2	4	no	—
1053	C₂×C₄×C₂₃	—	2	4	no	—
1054	C₂×C₄×C₂₃	—	2	2	no	—
1055	C₂×C₄×C₂₃	—	2	2	no	—
1056	C₂×C₄×C₂₃	—	2	4	no	—
1057	C₂×C₄×C₂₃	—	2	4	no	—
1058	C₂×C₄×C₂₃	—	2	2	no	—
1059	C₂×C₄×C₂₃	—	4	1	no	—
1060	C₂×C₄×C₂₃	—	4	1	no	—
1061	C₂×C₄×C₂₃	—	4	1	no	—
1062	C₂×C₄×C₂₃	—	4	2	no	—
1063	C₂×C₄×C₂₃	—	4	4	no	—
1064	C₂×C₄×C₂₃	—	4	4	no	—
1065	C₂×C₄×C₂₃	—	4	2	no	—
1066	C₂×C₄×C₂₃	—	4	1	no	—
1067	C₂×C₄×C₂₃	—	4	1	no	—
1068	C₂×C₄×C₂₃	—	4	1	no	—
1069	C₂×C₄×C₂₃	—	4	1	no	—
1070	C₂×C₄×C₂₃	—	4	1	no	—
1071	C₂×C₄×C₂₃	—	4	1	no	—
1072	C₂×C₄×C₂₃	—	4	2	no	—
1073	C₂×C₄×C₂₃	—	4	1	no	—
1074	C₂×C₄×C₂₃	—	4	1	no	—
1075	C₂×C₄×C₂₃	—	4	2	no	—
1076	C₂×C₄×C₂₃	—	4	4	no	—
1077	C₂×C₄×C₂₃	—	4	2	no	—
1078	C₂×C₄×C₂₃	—	4	4	no	—
1079	C₂×C₄×C₂₃	—	4	4	no	—
1080	C₂×C₄×C₂₃	—	4	2	no	—
1081	C₂×C₄×C₂₃	—	4	4	no	—
1082	C₂×C₄×C₂₃	—	4	4	no	—
1083	C₂×C₄×C₂₃	—	4	4	no	—
1084	C₂×C₄×C₂₃	—	4	4	no	—
1085	C₂×C₄×C₂₃	—	4	4	no	—
1086	C₂×C₄×C₂₃	—	4	4	no	—
1087	C₂×C₄×C₂₃	—	4	4	no	—
1088	C₂×C₄×C₂₃	—	4	4	no	—
1089	C₂×C₄×C₂₃	—	4	4	no	—
1090	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1091	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1092	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1093	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1094	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1095	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1096	C₂×C₄×C₂₃	C₂⁵	1	2	yes	—
1097	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
1098	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1099	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1100	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1101	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1102	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1103	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
1104	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
1105	C₂×C₄×C₂₃	C₂⁵	1	2	yes	—
1106	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
1107	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
1108	C₂×C₄×C₂₃	C₂⁵	1	2	yes	—
1109	C₂×C₄×C₂₃	C₂⁵	1	2	yes	—
1110	C₂×C₄×C₂₃	C₂⁵	1	2	yes	—
1111	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
1112	C₂×C₄×C₂₃	C₂⁵	1	2	yes	—
1113	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
1114	#3568	C₂×C₂₃	1	2	yes	complemented
1115	#3567	C₂×C₂₃	1	2	yes	complemented
1116	#3566	C₂×C₂₃	1	4	yes	complemented
1117	#3565	C₂×C₂₃	1	2	yes	complemented
1118	#3563	C₂×C₂₃	1	1	yes	characteristic, complemented
1119	#3562	C₂×C₂₃	1	2	yes	complemented
1120	#3561	C₂×C₂₃	1	1	yes	characteristic, complemented
1121	#3559	C₂×C₂₃	1	1	yes	characteristic, complemented
1122	#3558	C₂×C₂₃	1	1	yes	characteristic, complemented
1123	#3553	C₂×C₂₃	1	2	yes	complemented
1124	#3545	C₂×C₂₃	1	2	yes	complemented
1125	#3535	C₂×C₂₃	1	2	yes	complemented
1126	#3534	C₂×C₂₃	1	2	yes	complemented
1127	#3524	C₂×C₂₃	1	2	yes	complemented
1128	#3521	C₂×C₂₃	1	4	yes	complemented
1129	#3521	C₂×C₂₃	1	4	yes	complemented
1130	#3521	C₂×C₂₃	1	2	yes	complemented
1131	#3520	C₂×C₂₃	1	2	yes	complemented
1132	#3519	C₂×C₂₃	1	2	yes	complemented
1133	#3516	C₂×C₂₃	1	2	yes	complemented
1134	#3513	C₂×C₂₃	1	2	yes	complemented
1135	#3513	C₂×C₂₃	1	4	yes	complemented
1136	#3507	C₂×C₂₃	1	2	yes	complemented
1137	#3505	C₂×C₂₃	1	2	yes	complemented
1138	#3495	C₂×C₂₃	1	2	yes	complemented
1139	#3494	C₂×C₂₃	1	2	yes	complemented
1140	#3493	C₂×C₂₃	1	2	yes	complemented
1141	#3491	C₂×C₂₃	1	2	yes	complemented
1142	#3444	C₂×C₂₃	1	1	yes	characteristic, complemented
1143	C₂×#529	C₂×C₂₃	1	1	yes	characteristic, complemented
1144	C₂×#529	C₂×C₂₃	1	1	yes	characteristic, complemented
1145	C₂²×C₂₃	—	2	1	no	—
1146	C₂²×C₂₃	—	2	1	no	—
1147	C₂²×C₂₃	—	2	1	no	—
1148	C₂²×C₂₃	—	2	1	no	—
1149	C₂²×C₂₃	—	2	2	no	—
1150	C₂²×C₂₃	—	2	1	no	—
1151	C₂²×C₂₃	—	2	2	no	—
1152	C₂²×C₂₃	—	2	4	no	—
1153	C₂²×C₂₃	—	2	2	no	—
1154	C₂²×C₂₃	—	2	4	no	—
1155	C₂²×C₂₃	—	2	4	no	—
1156	C₂²×C₂₃	—	2	4	no	—
1157	C₂²×C₂₃	—	2	1	no	—
1158	C₂²×C₂₃	—	2	1	no	—
1159	C₂²×C₂₃	—	2	2	no	—
1160	C₂²×C₂₃	—	2	4	no	—
1161	C₂²×C₂₃	—	2	4	no	—
1162	C₂²×C₂₃	—	2	2	no	—
1163	C₂²×C₂₃	—	2	2	no	—
1164	C₂²×C₂₃	—	4	4	no	—
1165	C₂²×C₂₃	—	8	4	no	—
1166	C₂²×C₂₃	—	8	4	no	—
1167	C₂²×C₂₃	—	16	4	no	—
1168	C₂²×C₂₃	#585	1	2	yes	—
1169	C₂²×C₂₃	#585	1	2	yes	—
1170	C₂²×C₂₃	C₂⁶	1	1	yes	characteristic
1171	C₄×C₂₃	—	2	1	no	—
1172	C₄×C₂₃	—	2	1	no	—
1173	C₄×C₂₃	—	2	1	no	—
1174	C₄×C₂₃	—	2	1	no	—
1175	C₄×C₂₃	—	2	1	no	—
1176	C₄×C₂₃	—	2	1	no	—
1177	C₄×C₂₃	—	2	2	no	—
1178	C₄×C₂₃	—	2	4	no	—
1179	C₄×C₂₃	—	2	2	no	—
1180	C₄×C₂₃	—	2	2	no	—
1181	C₄×C₂₃	—	2	1	no	—
1182	C₄×C₂₃	—	2	1	no	—
1183	C₄×C₂₃	—	2	1	no	—
1184	C₄×C₂₃	—	2	1	no	—
1185	C₄×C₂₃	—	2	1	no	—
1186	C₄×C₂₃	—	2	2	no	—
1187	C₄×C₂₃	—	2	2	no	—
1188	C₄×C₂₃	—	2	4	no	—
1189	C₄×C₂₃	—	2	2	no	—
1190	C₄×C₂₃	—	2	4	no	—
1191	C₄×C₂₃	—	2	4	no	—
1192	C₄×C₂₃	—	2	4	no	—
1193	C₄×C₂₃	—	2	4	no	—
1194	C₄×C₂₃	#585	1	2	yes	—
1195	#564	C₂²×C₂₃	1	2	yes	complemented
1196	#563	C₂²×C₂₃	1	4	yes	complemented
1197	#563	C₂²×C₂₃	1	2	yes	complemented
1198	#563	C₂²×C₂₃	1	2	yes	complemented
1199	#563	C₂²×C₂₃	1	2	yes	complemented
1200	#562	C₂²×C₂₃	1	4	yes	complemented
1201	#562	C₂²×C₂₃	1	4	yes	complemented
1202	#562	C₂²×C₂₃	1	2	yes	complemented
1203	#562	C₂²×C₂₃	1	2	yes	complemented
1204	#562	C₂²×C₂₃	1	2	yes	complemented
1205	H(3,𝔽₄)	C₂²×C₂₃	1	2	yes	complemented
1206	#560	C₂²×C₂₃	1	4	yes	complemented
1207	#559	C₂²×C₂₃	1	2	yes	complemented
1208	#559	C₂²×C₂₃	1	2	yes	complemented
1209	#559	C₂²×C₂₃	1	4	yes	complemented
1210	#557	C₂²×C₂₃	1	2	yes	complemented
1211	#557	C₂²×C₂₃	1	2	yes	complemented
1212	#556	C₂²×C₂₃	1	4	yes	complemented
1213	#556	C₂²×C₂₃	1	4	yes	complemented
1214	#556	C₂²×C₂₃	1	4	yes	complemented
1215	#556	C₂²×C₂₃	1	2	yes	complemented
1216	#556	C₂²×C₂₃	1	2	yes	complemented
1217	#556	C₂²×C₂₃	1	4	yes	complemented
1218	#556	C₂²×C₂₃	1	4	yes	complemented
1219	#556	C₂²×C₂₃	1	2	yes	complemented
1220	#555	C₂²×C₂₃	1	4	yes	complemented
1221	#555	C₂²×C₂₃	1	4	yes	complemented
1222	#555	C₂²×C₂₃	1	2	yes	complemented
1223	#554	C₂²×C₂₃	1	4	yes	complemented
1224	#554	C₂²×C₂₃	1	2	yes	complemented
1225	#554	C₂²×C₂₃	1	2	yes	complemented
1226	#554	C₂²×C₂₃	1	2	yes	complemented
1227	#554	C₂²×C₂₃	1	4	yes	complemented
1228	#554	C₂²×C₂₃	1	4	yes	complemented
1229	#553	C₂²×C₂₃	1	4	yes	complemented
1230	#553	C₂²×C₂₃	1	4	yes	complemented
1231	#553	C₂²×C₂₃	1	4	yes	complemented
1232	#553	C₂²×C₂₃	1	4	yes	complemented
1233	#553	C₂²×C₂₃	1	2	yes	complemented
1234	#553	C₂²×C₂₃	1	4	yes	complemented
1235	#553	C₂²×C₂₃	1	2	yes	complemented
1236	#553	C₂²×C₂₃	1	4	yes	complemented
1237	#553	C₂²×C₂₃	1	4	yes	complemented
1238	#553	C₂²×C₂₃	1	4	yes	complemented
1239	#553	C₂²×C₂₃	1	2	yes	complemented
1240	#553	C₂²×C₂₃	1	4	yes	complemented
1241	#553	C₂²×C₂₃	1	4	yes	complemented
1242	#553	C₂²×C₂₃	1	2	yes	complemented
1243	#552	C₂²×C₂₃	1	4	yes	complemented
1244	#552	C₂²×C₂₃	1	4	yes	complemented
1245	#552	C₂²×C₂₃	1	4	yes	complemented
1246	#552	C₂²×C₂₃	1	4	yes	complemented
1247	#552	C₂²×C₂₃	1	4	yes	complemented
1248	#552	C₂²×C₂₃	1	4	yes	complemented
1249	#552	C₂²×C₂₃	1	4	yes	complemented
1250	#552	C₂²×C₂₃	1	4	yes	complemented
1251	#552	C₂²×C₂₃	1	2	yes	complemented
1252	#552	C₂²×C₂₃	1	2	yes	complemented
1253	#552	C₂²×C₂₃	1	4	yes	complemented
1254	#552	C₂²×C₂₃	1	2	yes	complemented
1255	#552	C₂²×C₂₃	1	4	yes	complemented
1256	#552	C₂²×C₂₃	1	4	yes	complemented
1257	#552	C₂²×C₂₃	1	2	yes	complemented
1258	#551	C₂²×C₂₃	1	4	yes	complemented
1259	#551	C₂²×C₂₃	1	4	yes	complemented
1260	#551	C₂²×C₂₃	1	4	yes	complemented
1261	#551	C₂²×C₂₃	1	4	yes	complemented
1262	#551	C₂²×C₂₃	1	4	yes	complemented
1263	#551	C₂²×C₂₃	1	4	yes	complemented
1264	#551	C₂²×C₂₃	1	4	yes	complemented
1265	#551	C₂²×C₂₃	1	4	yes	complemented
1266	#551	C₂²×C₂₃	1	4	yes	complemented
1267	#551	C₂²×C₂₃	1	4	yes	complemented
1268	#551	C₂²×C₂₃	1	4	yes	complemented
1269	#551	C₂²×C₂₃	1	4	yes	complemented
1270	#551	C₂²×C₂₃	1	4	yes	complemented
1271	#551	C₂²×C₂₃	1	4	yes	complemented
1272	#550	C₂²×C₂₃	1	2	yes	complemented
1273	D₄×Q₈	C₂²×C₂₃	1	2	yes	complemented
1274	#548	C₂²×C₂₃	1	2	yes	complemented
1275	#548	C₂²×C₂₃	1	2	yes	complemented
1276	#548	C₂²×C₂₃	1	2	yes	complemented
1277	#548	C₂²×C₂₃	1	2	yes	complemented
1278	#547	C₂²×C₂₃	1	4	yes	complemented
1279	#547	C₂²×C₂₃	1	2	yes	complemented
1280	#547	C₂²×C₂₃	1	4	yes	complemented
1281	#547	C₂²×C₂₃	1	2	yes	complemented
1282	#546	C₂²×C₂₃	1	4	yes	complemented
1283	#546	C₂²×C₂₃	1	4	yes	complemented
1284	#546	C₂²×C₂₃	1	2	yes	complemented
1285	#546	C₂²×C₂₃	1	2	yes	complemented
1286	#546	C₂²×C₂₃	1	4	yes	complemented
1287	#546	C₂²×C₂₃	1	2	yes	complemented
1288	#546	C₂²×C₂₃	1	4	yes	complemented
1289	#546	C₂²×C₂₃	1	4	yes	complemented
1290	#546	C₂²×C₂₃	1	4	yes	complemented
1291	#546	C₂²×C₂₃	1	4	yes	complemented
1292	#546	C₂²×C₂₃	1	2	yes	complemented
1293	D₄²	C₂²×C₂₃	1	4	yes	complemented
1294	D₄²	C₂²×C₂₃	1	2	yes	complemented
1295	#544	C₂²×C₂₃	1	2	yes	complemented
1296	#544	C₂²×C₂₃	1	2	yes	complemented
1297	#544	C₂²×C₂₃	1	2	yes	complemented
1298	#543	C₂²×C₂₃	1	2	yes	complemented
1299	#542	C₂²×C₂₃	1	2	yes	complemented
1300	#542	C₂²×C₂₃	1	2	yes	complemented
1301	#542	C₂²×C₂₃	1	2	yes	complemented
1302	#542	C₂²×C₂₃	1	2	yes	complemented
1303	#542	C₂²×C₂₃	1	4	yes	complemented
1304	#542	C₂²×C₂₃	1	4	yes	complemented
1305	#542	C₂²×C₂₃	1	4	yes	complemented
1306	#542	C₂²×C₂₃	1	4	yes	complemented
1307	#542	C₂²×C₂₃	1	4	yes	complemented
1308	#542	C₂²×C₂₃	1	4	yes	complemented
1309	#541	C₂²×C₂₃	1	2	yes	complemented
1310	#541	C₂²×C₂₃	1	2	yes	complemented
1311	#541	C₂²×C₂₃	1	4	yes	complemented
1312	#541	C₂²×C₂₃	1	4	yes	complemented
1313	#541	C₂²×C₂₃	1	4	yes	complemented
1314	#540	C₂²×C₂₃	1	2	yes	complemented
1315	#540	C₂²×C₂₃	1	2	yes	complemented
1316	#540	C₂²×C₂₃	1	4	yes	complemented
1317	#540	C₂²×C₂₃	1	4	yes	complemented
1318	#540	C₂²×C₂₃	1	4	yes	complemented
1319	#539	C₂²×C₂₃	1	2	yes	—
1320	#539	C₂²×C₂₃	1	4	yes	complemented
1321	#539	C₂²×C₂₃	1	2	yes	complemented
1322	#539	C₂²×C₂₃	1	4	yes	complemented
1323	#539	C₂²×C₂₃	1	4	yes	complemented
1324	#539	C₂²×C₂₃	1	4	yes	complemented
1325	#539	C₂²×C₂₃	1	4	yes	complemented
1326	#539	C₂²×C₂₃	1	4	yes	complemented
1327	#539	C₂²×C₂₃	1	4	yes	complemented
1328	#539	C₂²×C₂₃	1	4	yes	complemented
1329	#539	C₂²×C₂₃	1	4	yes	complemented
1330	#539	C₂²×C₂₃	1	4	yes	complemented
1331	#538	C₂²×C₂₃	1	4	yes	complemented
1332	#538	C₂²×C₂₃	1	2	yes	complemented
1333	#538	C₂²×C₂₃	1	2	yes	complemented
1334	#538	C₂²×C₂₃	1	4	yes	complemented
1335	#538	C₂²×C₂₃	1	4	yes	complemented
1336	#538	C₂²×C₂₃	1	4	yes	complemented
1337	#538	C₂²×C₂₃	1	4	yes	complemented
1338	#538	C₂²×C₂₃	1	4	yes	complemented
1339	#538	C₂²×C₂₃	1	4	yes	complemented
1340	#538	C₂²×C₂₃	1	4	yes	complemented
1341	#537	C₂²×C₂₃	1	2	yes	complemented
1342	#536	C₂²×C₂₃	1	2	yes	complemented
1343	#536	C₂²×C₂₃	1	4	yes	complemented
1344	#535	C₂²×C₂₃	1	2	yes	complemented
1345	#534	C₂²×C₂₃	1	2	yes	—
1346	#534	C₂²×C₂₃	1	4	yes	complemented
1347	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
1348	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
1349	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
1350	#533	C₂²×C₂₃	1	2	yes	complemented
1351	#532	C₂²×C₂₃	1	2	yes	—
1352	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1353	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1354	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1355	#529	C₂²×C₂₃	1	1	yes	characteristic
1356	#529	C₂²×C₂₃	1	1	yes	characteristic
1357	#529	C₂²×C₂₃	1	1	yes	characteristic, complemented
1358	#529	C₂²×C₂₃	1	2	yes	complemented
1359	#529	C₂²×C₂₃	1	2	yes	complemented
1360	#529	C₂²×C₂₃	1	2	yes	complemented
1361	#529	C₂²×C₂₃	1	2	yes	complemented
1362	#529	C₂²×C₂₃	1	2	yes	complemented
1363	#529	C₂²×C₂₃	1	1	yes	characteristic, complemented
1364	#529	C₂²×C₂₃	1	2	yes	complemented
1365	#529	C₂²×C₂₃	1	1	yes	characteristic, complemented
1366	#529	C₂²×C₂₃	1	2	yes	complemented
1367	#529	C₂²×C₂₃	1	1	yes	characteristic, complemented
1368	#529	C₂²×C₂₃	1	2	yes	complemented
1369	#529	C₂²×C₂₃	1	2	yes	complemented
1370	#529	C₂²×C₂₃	1	2	yes	complemented
1371	#529	C₂²×C₂₃	1	2	yes	complemented
1372	#529	C₂²×C₂₃	1	1	yes	characteristic, complemented
1373	#529	C₂²×C₂₃	1	2	yes	complemented
1374	#529	C₂²×C₂₃	1	1	yes	characteristic, complemented
1375	#529	C₂²×C₂₃	1	2	yes	complemented
1376	#529	C₂²×C₂₃	1	2	yes	complemented
1377	#529	C₂²×C₂₃	1	2	yes	complemented
1378	#529	C₂²×C₂₃	1	2	yes	complemented
1379	#529	C₂²×C₂₃	1	2	yes	complemented
1380	#529	C₂²×C₂₃	1	2	yes	complemented
1381	#529	C₂²×C₂₃	1	4	yes	complemented
1382	#529	C₂²×C₂₃	1	4	yes	complemented
1383	#529	C₂²×C₂₃	1	2	yes	complemented
1384	#529	C₂²×C₂₃	1	2	yes	complemented
1385	#529	C₂²×C₂₃	1	4	yes	complemented
1386	#529	C₂²×C₂₃	1	4	yes	complemented
1387	#529	C₂²×C₂₃	1	4	yes	complemented
1388	C₂×#126	C₂²×C₂₃	1	2	yes	complemented
1389	C₂×#126	C₂²×C₂₃	1	2	yes	complemented
1390	C₂×#126	C₂²×C₂₃	1	4	yes	complemented
1391	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
1392	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
1393	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic, complemented
1394	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic, complemented
1395	#525	C₂²×C₂₃	1	2	yes	—
1396	#525	C₂²×C₂₃	1	2	yes	complemented
1397	#525	C₂²×C₂₃	1	2	yes	complemented
1398	#525	C₂²×C₂₃	1	2	yes	complemented
1399	#525	C₂²×C₂₃	1	4	yes	complemented
1400	#525	C₂²×C₂₃	1	2	yes	complemented
1401	C₂×#123	C₂²×C₂₃	1	2	yes	complemented
1402	C₂×#123	C₂²×C₂₃	1	2	yes	complemented
1403	C₂×#123	C₂²×C₂₃	1	4	yes	complemented
1404	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1405	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1406	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	2	yes	complemented
1407	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
1408	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
1409	C₂×#121	C₂²×C₂₃	1	2	yes	complemented
1410	#520	C₂²×C₂₃	1	4	yes	complemented
1411	#520	C₂²×C₂₃	1	2	yes	complemented
1412	#520	C₂²×C₂₃	1	2	yes	complemented
1413	#520	C₂²×C₂₃	1	4	yes	complemented
1414	#519	C₂²×C₂₃	1	2	yes	complemented
1415	#518	C₂²×C₂₃	1	4	yes	complemented
1416	#518	C₂²×C₂₃	1	2	yes	complemented
1417	#518	C₂²×C₂₃	1	4	yes	complemented
1418	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
1419	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
1420	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
1421	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1422	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1423	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1424	C₂×C₄×D₄	C₂²×C₂₃	1	2	yes	complemented
1425	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1426	C₂×C₄×D₄	C₂²×C₂₃	1	2	yes	complemented
1427	C₂×#117	C₂²×C₂₃	1	2	yes	complemented
1428	C₂×#117	C₂²×C₂₃	1	2	yes	complemented
1429	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
1430	C₂×C₂₃	—	2	2	no	—
1431	C₂×C₂₃	—	2	2	no	—
1432	C₂×C₂₃	—	4	1	no	—
1433	C₂×C₂₃	—	4	2	no	—
1434	C₂×C₂₃	—	4	4	no	—
1435	C₂×C₂₃	—	4	2	no	—
1436	C₂×C₂₃	—	4	4	no	—
1437	C₂×C₂₃	C₂×#585	1	1	yes	characteristic
1438	C₂×C₂₃	C₂×#585	1	1	yes	characteristic
1439	C₂×C₂₃	C₂×#585	1	1	yes	characteristic
1440	C₂×#41	C₂³×C₂₃	1	2	yes	—
1441	C₂×#41	C₂³×C₂₃	1	2	yes	—
1442	C₂×#41	C₂³×C₂₃	1	2	yes	—
1443	C₂×#41	C₂³×C₂₃	1	2	yes	—
1444	C₂×#41	C₂³×C₂₃	1	2	yes	—
1445	C₂×#41	C₂³×C₂₃	1	4	yes	—
1446	C₂×#41	C₂³×C₂₃	1	4	yes	—
1447	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1448	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1449	C₂²×Q₈	C₂³×C₂₃	1	2	yes	—
1450	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
1451	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
1452	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1453	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1454	C₂²×D₄	C₂³×C₂₃	1	4	yes	—
1455	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
1456	C₂²×D₄	C₂³×C₂₃	1	4	yes	—
1457	C₂³×C₄	C₂³×C₂₃	1	2	yes	—
1458	C₂³×C₄	C₂³×C₂₃	1	2	yes	—
1459	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1460	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1461	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1462	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1463	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1464	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1465	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1466	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1467	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1468	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1469	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1470	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1471	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1472	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1473	#127	C₂³×C₂₃	1	2	yes	—
1474	#127	C₂³×C₂₃	1	1	yes	characteristic
1475	#127	C₂³×C₂₃	1	4	yes	—
1476	#126	C₂³×C₂₃	1	2	yes	—
1477	#126	C₂³×C₂₃	1	4	yes	—
1478	#126	C₂³×C₂₃	1	2	yes	—
1479	#126	C₂³×C₂₃	1	2	yes	—
1480	#126	C₂³×C₂₃	1	2	yes	—
1481	#126	C₂³×C₂₃	1	4	yes	—
1482	#126	C₂³×C₂₃	1	2	yes	—
1483	#126	C₂³×C₂₃	1	2	yes	—
1484	#126	C₂³×C₂₃	1	4	yes	—
1485	#126	C₂³×C₂₃	1	4	yes	—
1486	#126	C₂³×C₂₃	1	2	yes	—
1487	#126	C₂³×C₂₃	1	2	yes	—
1488	#126	C₂³×C₂₃	1	4	yes	—
1489	#126	C₂³×C₂₃	1	4	yes	—
1490	#126	C₂³×C₂₃	1	4	yes	—
1491	#126	C₂³×C₂₃	1	4	yes	—
1492	#126	C₂³×C₂₃	1	4	yes	—
1493	#126	C₂³×C₂₃	1	4	yes	—
1494	#126	C₂³×C₂₃	1	4	yes	—
1495	#126	C₂³×C₂₃	1	4	yes	—
1496	#126	C₂³×C₂₃	1	4	yes	—
1497	#126	C₂³×C₂₃	1	4	yes	—
1498	#126	C₂³×C₂₃	1	4	yes	—
1499	#126	C₂³×C₂₃	1	4	yes	—
1500	#126	C₂³×C₂₃	1	4	yes	—
1501	#126	C₂³×C₂₃	1	4	yes	—
1502	#126	C₂³×C₂₃	1	4	yes	—
1503	#126	C₂³×C₂₃	1	4	yes	—
1504	#126	C₂³×C₂₃	1	4	yes	—
1505	#126	C₂³×C₂₃	1	4	yes	—
1506	#126	C₂³×C₂₃	1	4	yes	—
1507	#126	C₂³×C₂₃	1	4	yes	—
1508	#126	C₂³×C₂₃	1	4	yes	—
1509	#126	C₂³×C₂₃	1	4	yes	—
1510	#126	C₂³×C₂₃	1	4	yes	—
1511	#126	C₂³×C₂₃	1	4	yes	—
1512	#126	C₂³×C₂₃	1	4	yes	—
1513	#126	C₂³×C₂₃	1	4	yes	—
1514	#125	C₂³×C₂₃	1	1	yes	characteristic
1515	#125	C₂³×C₂₃	1	1	yes	characteristic
1516	#125	C₂³×C₂₃	1	2	yes	—
1517	#125	C₂³×C₂₃	1	2	yes	—
1518	#125	C₂³×C₂₃	1	2	yes	—
1519	#125	C₂³×C₂₃	1	2	yes	—
1520	#125	C₂³×C₂₃	1	1	yes	characteristic
1521	#125	C₂³×C₂₃	1	2	yes	—
1522	#125	C₂³×C₂₃	1	2	yes	—
1523	#125	C₂³×C₂₃	1	1	yes	characteristic
1524	#125	C₂³×C₂₃	1	2	yes	—
1525	#125	C₂³×C₂₃	1	2	yes	—
1526	#125	C₂³×C₂₃	1	2	yes	—
1527	#125	C₂³×C₂₃	1	4	yes	—
1528	#125	C₂³×C₂₃	1	4	yes	—
1529	#125	C₂³×C₂₃	1	4	yes	—
1530	#125	C₂³×C₂₃	1	4	yes	—
1531	#125	C₂³×C₂₃	1	2	yes	—
1532	#125	C₂³×C₂₃	1	4	yes	—
1533	#125	C₂³×C₂₃	1	2	yes	—
1534	#125	C₂³×C₂₃	1	4	yes	—
1535	#125	C₂³×C₂₃	1	4	yes	—
1536	#125	C₂³×C₂₃	1	4	yes	—
1537	#125	C₂³×C₂₃	1	4	yes	—
1538	#125	C₂³×C₂₃	1	4	yes	—
1539	#125	C₂³×C₂₃	1	4	yes	—
1540	#125	C₂³×C₂₃	1	4	yes	—
1541	#125	C₂³×C₂₃	1	4	yes	—
1542	#125	C₂³×C₂₃	1	4	yes	—
1543	#125	C₂³×C₂₃	1	4	yes	—
1544	#125	C₂³×C₂₃	1	4	yes	—
1545	#124	C₂³×C₂₃	1	1	yes	characteristic
1546	#124	C₂³×C₂₃	1	1	yes	characteristic
1547	#124	C₂³×C₂₃	1	2	yes	—
1548	#124	C₂³×C₂₃	1	2	yes	—
1549	#124	C₂³×C₂₃	1	2	yes	—
1550	#124	C₂³×C₂₃	1	2	yes	—
1551	#124	C₂³×C₂₃	1	2	yes	—
1552	#124	C₂³×C₂₃	1	1	yes	characteristic
1553	#124	C₂³×C₂₃	1	2	yes	—
1554	#124	C₂³×C₂₃	1	1	yes	characteristic
1555	#124	C₂³×C₂₃	1	2	yes	—
1556	#124	C₂³×C₂₃	1	2	yes	—
1557	#124	C₂³×C₂₃	1	2	yes	—
1558	#124	C₂³×C₂₃	1	2	yes	—
1559	#124	C₂³×C₂₃	1	2	yes	—
1560	#124	C₂³×C₂₃	1	4	yes	—
1561	#124	C₂³×C₂₃	1	4	yes	—
1562	#124	C₂³×C₂₃	1	4	yes	—
1563	#124	C₂³×C₂₃	1	4	yes	—
1564	#124	C₂³×C₂₃	1	4	yes	—
1565	#124	C₂³×C₂₃	1	4	yes	—
1566	#124	C₂³×C₂₃	1	4	yes	—
1567	#124	C₂³×C₂₃	1	4	yes	—
1568	#124	C₂³×C₂₃	1	4	yes	—
1569	#124	C₂³×C₂₃	1	4	yes	—
1570	#124	C₂³×C₂₃	1	4	yes	—
1571	#124	C₂³×C₂₃	1	4	yes	—
1572	#124	C₂³×C₂₃	1	4	yes	—
1573	#124	C₂³×C₂₃	1	4	yes	—
1574	#123	C₂³×C₂₃	1	2	yes	—
1575	#123	C₂³×C₂₃	1	2	yes	—
1576	#123	C₂³×C₂₃	1	4	yes	—
1577	#123	C₂³×C₂₃	1	2	yes	—
1578	#123	C₂³×C₂₃	1	4	yes	—
1579	#123	C₂³×C₂₃	1	2	yes	—
1580	#123	C₂³×C₂₃	1	4	yes	—
1581	#123	C₂³×C₂₃	1	2	yes	—
1582	#123	C₂³×C₂₃	1	4	yes	—
1583	#123	C₂³×C₂₃	1	2	yes	—
1584	#123	C₂³×C₂₃	1	2	yes	—
1585	#123	C₂³×C₂₃	1	2	yes	—
1586	#123	C₂³×C₂₃	1	4	yes	—
1587	#123	C₂³×C₂₃	1	4	yes	—
1588	#123	C₂³×C₂₃	1	4	yes	—
1589	#123	C₂³×C₂₃	1	4	yes	—
1590	#123	C₂³×C₂₃	1	4	yes	—
1591	#123	C₂³×C₂₃	1	4	yes	—
1592	#123	C₂³×C₂₃	1	4	yes	—
1593	#123	C₂³×C₂₃	1	4	yes	—
1594	#123	C₂³×C₂₃	1	4	yes	—
1595	#123	C₂³×C₂₃	1	4	yes	—
1596	#123	C₂³×C₂₃	1	4	yes	—
1597	#123	C₂³×C₂₃	1	4	yes	—
1598	#123	C₂³×C₂₃	1	4	yes	—
1599	#123	C₂³×C₂₃	1	4	yes	—
1600	#123	C₂³×C₂₃	1	4	yes	—
1601	#123	C₂³×C₂₃	1	4	yes	—
1602	#123	C₂³×C₂₃	1	4	yes	—
1603	#123	C₂³×C₂₃	1	4	yes	—
1604	#123	C₂³×C₂₃	1	4	yes	—
1605	#123	C₂³×C₂₃	1	4	yes	—
1606	#123	C₂³×C₂₃	1	4	yes	—
1607	#123	C₂³×C₂₃	1	4	yes	—
1608	#123	C₂³×C₂₃	1	4	yes	—
1609	#123	C₂³×C₂₃	1	4	yes	—
1610	#123	C₂³×C₂₃	1	4	yes	—
1611	#123	C₂³×C₂₃	1	4	yes	—
1612	#123	C₂³×C₂₃	1	4	yes	—
1613	#123	C₂³×C₂₃	1	4	yes	—
1614	#123	C₂³×C₂₃	1	4	yes	—
1615	#123	C₂³×C₂₃	1	4	yes	—
1616	#123	C₂³×C₂₃	1	4	yes	—
1617	#123	C₂³×C₂₃	1	4	yes	—
1618	#123	C₂³×C₂₃	1	4	yes	—
1619	#123	C₂³×C₂₃	1	4	yes	—
1620	#123	C₂³×C₂₃	1	4	yes	—
1621	#123	C₂³×C₂₃	1	4	yes	—
1622	#123	C₂³×C₂₃	1	4	yes	—
1623	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1624	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1625	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1626	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1627	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1628	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1629	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1630	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1631	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1632	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1633	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1634	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1635	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1636	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1637	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1638	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1639	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1640	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1641	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1642	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1643	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1644	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1645	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1646	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1647	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1648	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1649	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1650	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1651	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1652	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1653	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1654	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1655	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1656	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1657	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1658	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1659	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1660	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1661	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1662	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1663	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1664	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1665	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1666	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1667	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1668	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1669	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1670	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1671	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1672	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1673	#121	C₂³×C₂₃	1	2	yes	—
1674	#121	C₂³×C₂₃	1	1	yes	characteristic
1675	#121	C₂³×C₂₃	1	1	yes	characteristic
1676	#121	C₂³×C₂₃	1	1	yes	characteristic
1677	#121	C₂³×C₂₃	1	2	yes	—
1678	#121	C₂³×C₂₃	1	1	yes	characteristic
1679	#121	C₂³×C₂₃	1	2	yes	—
1680	#121	C₂³×C₂₃	1	2	yes	—
1681	#121	C₂³×C₂₃	1	2	yes	—
1682	#121	C₂³×C₂₃	1	2	yes	—
1683	#121	C₂³×C₂₃	1	2	yes	—
1684	#121	C₂³×C₂₃	1	4	yes	—
1685	#121	C₂³×C₂₃	1	4	yes	—
1686	#121	C₂³×C₂₃	1	2	yes	—
1687	#121	C₂³×C₂₃	1	2	yes	—
1688	#121	C₂³×C₂₃	1	2	yes	—
1689	#121	C₂³×C₂₃	1	2	yes	—
1690	#121	C₂³×C₂₃	1	2	yes	—
1691	#121	C₂³×C₂₃	1	2	yes	—
1692	#121	C₂³×C₂₃	1	2	yes	—
1693	#121	C₂³×C₂₃	1	2	yes	—
1694	#121	C₂³×C₂₃	1	4	yes	—
1695	#121	C₂³×C₂₃	1	4	yes	—
1696	#121	C₂³×C₂₃	1	2	yes	—
1697	#121	C₂³×C₂₃	1	4	yes	—
1698	#121	C₂³×C₂₃	1	4	yes	—
1699	#121	C₂³×C₂₃	1	4	yes	—
1700	#121	C₂³×C₂₃	1	4	yes	—
1701	#121	C₂³×C₂₃	1	4	yes	—
1702	#121	C₂³×C₂₃	1	4	yes	—
1703	#121	C₂³×C₂₃	1	4	yes	—
1704	#121	C₂³×C₂₃	1	4	yes	—
1705	#121	C₂³×C₂₃	1	4	yes	—
1706	#121	C₂³×C₂₃	1	4	yes	—
1707	#121	C₂³×C₂₃	1	4	yes	—
1708	#121	C₂³×C₂₃	1	4	yes	—
1709	#121	C₂³×C₂₃	1	4	yes	—
1710	#121	C₂³×C₂₃	1	4	yes	—
1711	#121	C₂³×C₂₃	1	4	yes	—
1712	#121	C₂³×C₂₃	1	4	yes	—
1713	#121	C₂³×C₂₃	1	4	yes	—
1714	#121	C₂³×C₂₃	1	4	yes	—
1715	#121	C₂³×C₂₃	1	4	yes	—
1716	#121	C₂³×C₂₃	1	4	yes	—
1717	#121	C₂³×C₂₃	1	4	yes	—
1718	#121	C₂³×C₂₃	1	4	yes	—
1719	#120	C₂³×C₂₃	1	4	yes	—
1720	#120	C₂³×C₂₃	1	4	yes	—
1721	#120	C₂³×C₂₃	1	4	yes	—
1722	#120	C₂³×C₂₃	1	4	yes	—
1723	#120	C₂³×C₂₃	1	4	yes	—
1724	#120	C₂³×C₂₃	1	4	yes	—
1725	#120	C₂³×C₂₃	1	4	yes	—
1726	#120	C₂³×C₂₃	1	4	yes	—
1727	#120	C₂³×C₂₃	1	4	yes	—
1728	#120	C₂³×C₂₃	1	4	yes	—
1729	#120	C₂³×C₂₃	1	4	yes	—
1730	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1731	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1732	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1733	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1734	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1735	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1736	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1737	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1738	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1739	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1740	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1741	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1742	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1743	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1744	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1745	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1746	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1747	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1748	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1749	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1750	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1751	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1752	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1753	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1754	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1755	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1756	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1757	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1758	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1759	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1760	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1761	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1762	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1763	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1764	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1765	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1766	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1767	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1768	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1769	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1770	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1771	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1772	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1773	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1774	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1775	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1776	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1777	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1778	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1779	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1780	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1781	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1782	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1783	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1784	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1785	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1786	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1787	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1788	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1789	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1790	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1791	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1792	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1793	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1794	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1795	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1796	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1797	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1798	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1799	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1800	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1801	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1802	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1803	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1804	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1805	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1806	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1807	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1808	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1809	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1810	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1811	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1812	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1813	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1814	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1815	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1816	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1817	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1818	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1819	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1820	#117	C₂³×C₂₃	1	2	yes	—
1821	#117	C₂³×C₂₃	1	2	yes	—
1822	#117	C₂³×C₂₃	1	2	yes	—
1823	#117	C₂³×C₂₃	1	2	yes	—
1824	#117	C₂³×C₂₃	1	2	yes	—
1825	#117	C₂³×C₂₃	1	2	yes	—
1826	#117	C₂³×C₂₃	1	4	yes	—
1827	#117	C₂³×C₂₃	1	4	yes	—
1828	#117	C₂³×C₂₃	1	4	yes	—
1829	#117	C₂³×C₂₃	1	4	yes	—
1830	#117	C₂³×C₂₃	1	2	yes	—
1831	#117	C₂³×C₂₃	1	2	yes	—
1832	#117	C₂³×C₂₃	1	2	yes	—
1833	#117	C₂³×C₂₃	1	2	yes	—
1834	#117	C₂³×C₂₃	1	2	yes	—
1835	#117	C₂³×C₂₃	1	4	yes	—
1836	#117	C₂³×C₂₃	1	4	yes	—
1837	#117	C₂³×C₂₃	1	4	yes	—
1838	#117	C₂³×C₂₃	1	2	yes	—
1839	#117	C₂³×C₂₃	1	4	yes	—
1840	#117	C₂³×C₂₃	1	4	yes	—
1841	#117	C₂³×C₂₃	1	4	yes	—
1842	#117	C₂³×C₂₃	1	4	yes	—
1843	#117	C₂³×C₂₃	1	2	yes	—
1844	#117	C₂³×C₂₃	1	4	yes	—
1845	#117	C₂³×C₂₃	1	4	yes	—
1846	#117	C₂³×C₂₃	1	4	yes	—
1847	#117	C₂³×C₂₃	1	4	yes	—
1848	#117	C₂³×C₂₃	1	4	yes	—
1849	#117	C₂³×C₂₃	1	4	yes	—
1850	#117	C₂³×C₂₃	1	4	yes	—
1851	#117	C₂³×C₂₃	1	4	yes	—
1852	#117	C₂³×C₂₃	1	4	yes	—
1853	#117	C₂³×C₂₃	1	4	yes	—
1854	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1855	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1856	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1857	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1858	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1859	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1860	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1861	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1862	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1863	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1864	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1865	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1866	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1867	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1868	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1869	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1870	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1871	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1872	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1873	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1874	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1875	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1876	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1877	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1878	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1879	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1880	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1881	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1882	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1883	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1884	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1885	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1886	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1887	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1888	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1889	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1890	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1891	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1892	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1893	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1894	C₂×C₄²	C₂³×C₂₃	1	2	yes	—
1895	C₂×C₄²	C₂³×C₂₃	1	2	yes	—
1896	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1897	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1898	C₂×C₄²	C₂³×C₂₃	1	4	yes	—
1899	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1900	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1901	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1902	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1903	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1904	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1905	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1906	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1907	C₂₃	#62828	1	1	yes	characteristic, direct product factor, Sylow
1908	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1909	C₂⁴	C₂⁴×C₂₃	1	2	yes	—
1910	C₂⁴	C₂⁴×C₂₃	1	2	yes	—
1911	C₂⁴	C₂⁴×C₂₃	1	4	yes	—
1912	#41	—	4	4	no	—
1913	#41	—	4	4	no	—
1914	#41	—	4	8	no	—
1915	#41	—	4	8	no	—
1916	#41	—	4	4	no	—
1917	#41	—	4	4	no	—
1918	#41	—	4	4	no	—
1919	C₂×Q₈	—	4	2	no	—
1920	C₂×Q₈	—	4	2	no	—
1921	C₂×Q₈	—	4	4	no	—
1922	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1923	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1924	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1925	C₂×Q₈	C₂⁴×C₂₃	1	4	yes	—
1926	C₂×Q₈	C₂⁴×C₂₃	1	4	yes	—
1927	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1928	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1929	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1930	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1931	C₂×Q₈	C₂⁴×C₂₃	1	4	yes	—
1932	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1933	C₂×D₄	—	4	2	no	—
1934	C₂×D₄	—	4	4	no	—
1935	C₂×D₄	—	4	2	no	—
1936	C₂×D₄	—	4	4	no	—
1937	C₂×D₄	—	4	8	no	—
1938	C₂×D₄	—	4	4	no	—
1939	C₂×D₄	—	4	8	no	—
1940	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1941	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1942	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1943	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1944	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1945	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1946	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1947	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1948	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1949	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1950	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1951	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1952	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1953	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1954	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1955	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1956	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1957	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1958	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1959	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1960	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1961	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1962	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1963	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1964	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1965	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1966	C₂²×C₄	—	4	2	no	—
1967	C₂²×C₄	—	4	4	no	—
1968	C₂²×C₄	—	4	2	no	—
1969	C₂²×C₄	—	4	4	no	—
1970	C₂²×C₄	—	4	2	no	—
1971	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1972	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1973	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1974	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1975	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1976	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1977	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1978	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1979	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1980	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1981	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1982	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1983	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1984	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1985	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1986	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1987	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1988	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1989	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1990	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1991	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1992	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1993	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1994	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1995	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1996	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1997	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1998	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1999	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
2000	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2001	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2002	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
2003	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2004	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2005	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2006	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2007	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2008	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2009	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2010	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2011	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
2012	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
2013	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2014	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2015	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2016	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2017	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2018	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2019	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2020	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2021	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2022	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2023	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2024	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2025	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2026	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2027	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2028	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2029	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2030	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2031	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2032	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2033	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2034	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2035	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2036	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2037	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2038	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2039	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2040	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2041	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2042	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2043	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2044	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2045	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2046	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
2047	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2048	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2049	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
2050	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2051	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2052	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2053	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2054	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2055	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2056	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2057	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
2058	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2059	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2060	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
2061	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2062	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2063	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2064	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2065	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2066	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2067	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2068	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2069	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2070	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2071	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2072	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2073	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2074	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2075	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2076	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2077	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2078	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2079	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2080	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2081	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2082	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2083	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2084	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2085	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2086	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2087	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2088	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2089	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2090	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2091	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2092	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2093	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2094	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2095	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2096	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2097	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2098	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2099	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2100	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2101	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2102	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2103	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2104	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2105	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2106	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2107	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2108	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2109	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2110	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2111	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2112	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2113	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2114	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2115	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2116	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2117	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2118	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2119	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2120	C₂²⋊C₄	C₂⁴×C₂₃	1	2	yes	—
2121	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2122	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2123	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2124	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2125	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2126	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2127	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2128	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2129	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2130	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2131	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2132	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2133	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
2134	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2135	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2136	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2137	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2138	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2139	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2140	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2141	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2142	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2143	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2144	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2145	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2146	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2147	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2148	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2149	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
2150	C₄²	C₂⁴×C₂₃	1	2	yes	—
2151	C₄²	C₂⁴×C₂₃	1	4	yes	—
2152	C₄²	C₂⁴×C₂₃	1	4	yes	—
2153	C₄²	C₂⁴×C₂₃	1	4	yes	—
2154	C₄²	C₂⁴×C₂₃	1	4	yes	—
2155	C₄²	C₂⁴×C₂₃	1	4	yes	—
2156	C₄²	C₂⁴×C₂₃	1	2	yes	—
2157	C₄²	C₂⁴×C₂₃	1	2	yes	—
2158	C₄²	C₂⁴×C₂₃	1	2	yes	—
2159	C₄²	C₂⁴×C₂₃	1	4	yes	—
2160	C₄²	C₂⁴×C₂₃	1	4	yes	—
2161	C₄²	C₂⁴×C₂₃	1	4	yes	—
2162	C₄²	C₂⁴×C₂₃	1	4	yes	—
2163	C₄²	C₂⁴×C₂₃	1	4	yes	—
2164	C₄²	C₂⁴×C₂₃	1	4	yes	—
2165	C₂³	—	2	2	no	—
2166	C₂³	—	2	2	no	—
2167	C₂³	—	2	4	no	—
2168	C₂³	—	2	4	no	—
2169	C₂³	—	4	1	no	—
2170	C₂³	—	4	2	no	—
2171	C₂³	—	4	2	no	—
2172	C₂³	—	4	2	no	—
2173	C₂³	—	4	2	no	—
2174	C₂³	—	4	4	no	—
2175	C₂³	—	4	4	no	—
2176	C₂³	—	4	4	no	—
2177	C₂³	C₂⁵×C₂₃	1	2	yes	—
2178	C₂³	C₂⁵×C₂₃	1	4	yes	—
2179	C₂³	C₂⁵×C₂₃	1	2	yes	—
2180	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
2181	C₂³	C₂⁵×C₂₃	1	4	yes	—
2182	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
2183	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
2184	Q₈	—	2	4	no	—
2185	Q₈	—	2	4	no	—
2186	Q₈	—	4	1	no	—
2187	Q₈	—	4	2	no	—
2188	Q₈	—	4	4	no	—
2189	Q₈	—	4	1	no	—
2190	Q₈	—	4	2	no	—
2191	Q₈	—	4	4	no	—
2192	Q₈	—	4	2	no	—
2193	Q₈	—	4	2	no	—
2194	Q₈	—	4	4	no	—
2195	D₄	—	2	4	no	—
2196	D₄	—	2	8	no	—
2197	D₄	—	2	4	no	—
2198	D₄	—	2	8	no	—
2199	D₄	—	2	8	no	—
2200	D₄	—	2	4	no	—
2201	D₄	—	2	4	no	—
2202	D₄	—	4	4	no	—
2203	D₄	—	4	1	no	—
2204	D₄	—	4	2	no	—
2205	D₄	—	4	2	no	—
2206	D₄	—	4	1	no	—
2207	D₄	—	4	4	no	—
2208	D₄	—	4	2	no	—
2209	D₄	—	4	4	no	—
2210	D₄	—	4	4	no	—
2211	D₄	—	4	4	no	—
2212	D₄	—	4	2	no	—
2213	D₄	—	4	4	no	—
2214	D₄	—	4	4	no	—
2215	D₄	—	4	2	no	—
2216	D₄	—	4	2	no	—
2217	D₄	—	4	4	no	—
2218	D₄	—	4	4	no	—
2219	D₄	—	4	4	no	—
2220	D₄	—	4	4	no	—
2221	C₂×C₄	—	2	2	no	—
2222	C₂×C₄	—	2	2	no	—
2223	C₂×C₄	—	2	2	no	—
2224	C₂×C₄	—	2	2	no	—
2225	C₂×C₄	—	2	4	no	—
2226	C₂×C₄	—	2	4	no	—
2227	C₂×C₄	—	2	2	no	—
2228	C₂×C₄	—	2	2	no	—
2229	C₂×C₄	—	2	4	no	—
2230	C₂×C₄	—	2	4	no	—
2231	C₂×C₄	—	2	2	no	—
2232	C₂×C₄	—	4	1	no	—
2233	C₂×C₄	—	4	1	no	—
2234	C₂×C₄	—	4	1	no	—
2235	C₂×C₄	—	4	2	no	—
2236	C₂×C₄	—	4	4	no	—
2237	C₂×C₄	—	4	4	no	—
2238	C₂×C₄	—	4	2	no	—
2239	C₂×C₄	—	4	1	no	—
2240	C₂×C₄	—	4	1	no	—
2241	C₂×C₄	—	4	1	no	—
2242	C₂×C₄	—	4	1	no	—
2243	C₂×C₄	—	4	1	no	—
2244	C₂×C₄	—	4	1	no	—
2245	C₂×C₄	—	4	2	no	—
2246	C₂×C₄	—	4	1	no	—
2247	C₂×C₄	—	4	1	no	—
2248	C₂×C₄	—	4	2	no	—
2249	C₂×C₄	—	4	4	no	—
2250	C₂×C₄	—	4	2	no	—
2251	C₂×C₄	—	4	4	no	—
2252	C₂×C₄	—	4	4	no	—
2253	C₂×C₄	—	4	2	no	—
2254	C₂×C₄	—	4	4	no	—
2255	C₂×C₄	—	4	4	no	—
2256	C₂×C₄	—	4	4	no	—
2257	C₂×C₄	—	4	4	no	—
2258	C₂×C₄	—	4	4	no	—
2259	C₂×C₄	—	4	4	no	—
2260	C₂×C₄	—	4	4	no	—
2261	C₂×C₄	—	4	4	no	—
2262	C₂×C₄	—	4	4	no	—
2263	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2264	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2265	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2266	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2267	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2268	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2269	C₂×C₄	C₂⁵×C₂₃	1	2	yes	—
2270	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
2271	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2272	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2273	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2274	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2275	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2276	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
2277	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
2278	C₂×C₄	C₂⁵×C₂₃	1	2	yes	—
2279	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
2280	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
2281	C₂×C₄	C₂⁵×C₂₃	1	2	yes	—
2282	C₂×C₄	C₂⁵×C₂₃	1	2	yes	—
2283	C₂×C₄	C₂⁵×C₂₃	1	2	yes	—
2284	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
2285	C₂×C₄	C₂⁵×C₂₃	1	2	yes	—
2286	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
2287	C₂²	—	2	1	no	—
2288	C₂²	—	2	1	no	—
2289	C₂²	—	2	1	no	—
2290	C₂²	—	2	1	no	—
2291	C₂²	—	2	2	no	—
2292	C₂²	—	2	1	no	—
2293	C₂²	—	2	2	no	—
2294	C₂²	—	2	4	no	—
2295	C₂²	—	2	2	no	—
2296	C₂²	—	2	4	no	—
2297	C₂²	—	2	4	no	—
2298	C₂²	—	2	4	no	—
2299	C₂²	—	2	1	no	—
2300	C₂²	—	2	1	no	—
2301	C₂²	—	2	2	no	—
2302	C₂²	—	2	4	no	—
2303	C₂²	—	2	4	no	—
2304	C₂²	—	2	2	no	—
2305	C₂²	—	2	2	no	—
2306	C₂²	—	4	4	no	—
2307	C₂²	—	8	4	no	—
2308	C₂²	—	8	4	no	—
2309	C₂²	—	16	4	no	—
2310	C₂²	C₂₃×#585	1	2	yes	—
2311	C₂²	C₂₃×#585	1	2	yes	—
2312	C₂²	C₂⁶×C₂₃	1	1	yes	characteristic
2313	C₄	—	2	1	no	—
2314	C₄	—	2	1	no	—
2315	C₄	—	2	1	no	—
2316	C₄	—	2	1	no	—
2317	C₄	—	2	1	no	—
2318	C₄	—	2	1	no	—
2319	C₄	—	2	2	no	—
2320	C₄	—	2	4	no	—
2321	C₄	—	2	2	no	—
2322	C₄	—	2	2	no	—
2323	C₄	—	2	1	no	—
2324	C₄	—	2	1	no	—
2325	C₄	—	2	1	no	—
2326	C₄	—	2	1	no	—
2327	C₄	—	2	1	no	—
2328	C₄	—	2	2	no	—
2329	C₄	—	2	2	no	—
2330	C₄	—	2	4	no	—
2331	C₄	—	2	2	no	—
2332	C₄	—	2	4	no	—
2333	C₄	—	2	4	no	—
2334	C₄	—	2	4	no	—
2335	C₄	—	2	4	no	—
2336	C₄	C₂₃×#585	1	2	yes	—
2337	C₂	—	2	2	no	—
2338	C₂	—	2	2	no	—
2339	C₂	—	4	1	no	—
2340	C₂	—	4	2	no	—
2341	C₂	—	4	4	no	—
2342	C₂	—	4	2	no	—
2343	C₂	—	4	4	no	—
2344	C₂	C₂×C₂₃×#585	1	1	yes	characteristic
2345	C₂	C₂×C₂₃×#585	1	1	yes	characteristic
2346	C₂	C₂×C₂₃×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₂₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂₃×#3568	C₂	semidirect
2. C₂₃×#3567	C₂	semidirect
3. C₂₃×#3566	C₂	semidirect
4. C₂₃×#3565	C₂	semidirect
5. C₂₃×#3563	C₂	semidirect
6. C₂₃×#3562	C₂	semidirect
7. C₂₃×#3561	C₂	semidirect
8. C₂₃×#3559	C₂	semidirect
9. C₂₃×#3558	C₂	semidirect
10. C₂₃×#3553	C₂	semidirect
11. C₂₃×#3545	C₂	semidirect
12. C₂₃×#3535	C₂	semidirect
13. C₂₃×#3534	C₂	semidirect
14. C₂₃×#3524	C₂	semidirect
15. C₂₃×#3521	C₂	semidirect
16. C₂₃×#3521	C₂	semidirect
17. C₂₃×#3521	C₂	semidirect
18. C₂₃×#3520	C₂	semidirect
19. C₂₃×#3519	C₂	semidirect
20. C₂₃×#3516	C₂	semidirect
21. C₂₃×#3513	C₂	semidirect
22. C₂₃×#3513	C₂	semidirect
23. C₂₃×#3507	C₂	semidirect
24. C₂₃×#3505	C₂	semidirect
25. C₂₃×#3495	C₂	semidirect
26. C₂₃×#3494	C₂	semidirect
27. C₂₃×#3493	C₂	semidirect
28. C₂₃×#3491	C₂	semidirect
29. C₂₃×#3444	C₂	semidirect
30. C₂×C₂₃×#529	C₂	semidirect
31. C₂×C₂₃×#529	C₂	semidirect
32. C₂₃×#564	C₂²	semidirect
33. C₂₃×#563	C₂²	semidirect
34. C₂₃×#563	C₂²	semidirect
35. C₂₃×#563	C₂²	semidirect
36. C₂₃×#563	C₂²	semidirect
37. C₂₃×#562	C₂²	semidirect
38. C₂₃×#562	C₂²	semidirect
39. C₂₃×#562	C₂²	semidirect
40. C₂₃×#562	C₂²	semidirect
41. C₂₃×#562	C₂²	semidirect
42. C₂₃×H(3,𝔽₄)	C₂²	semidirect
43. C₂₃×#560	C₂²	semidirect
44. C₂₃×#559	C₂²	semidirect
45. C₂₃×#559	C₂²	semidirect
46. C₂₃×#559	C₂²	semidirect
47. C₂₃×#557	C₂²	semidirect
48. C₂₃×#557	C₂²	semidirect
49. C₂₃×#556	C₂²	semidirect
50. C₂₃×#556	C₂²	semidirect
51. C₂₃×#556	C₂²	semidirect
52. C₂₃×#556	C₂²	semidirect
53. C₂₃×#556	C₂²	semidirect
54. C₂₃×#556	C₂²	semidirect
55. C₂₃×#556	C₂²	semidirect
56. C₂₃×#556	C₂²	semidirect
57. C₂₃×#555	C₂²	semidirect
58. C₂₃×#555	C₂²	semidirect
59. C₂₃×#555	C₂²	semidirect
60. C₂₃×#554	C₂²	semidirect
61. C₂₃×#554	C₂²	semidirect
62. C₂₃×#554	C₂²	semidirect
63. C₂₃×#554	C₂²	semidirect
64. C₂₃×#554	C₂²	semidirect
65. C₂₃×#554	C₂²	semidirect
66. C₂₃×#553	C₂²	semidirect
67. C₂₃×#553	C₂²	semidirect
68. C₂₃×#553	C₂²	semidirect
69. C₂₃×#553	C₂²	semidirect
70. C₂₃×#553	C₂²	semidirect
71. C₂₃×#553	C₂²	semidirect
72. C₂₃×#553	C₂²	semidirect
73. C₂₃×#553	C₂²	semidirect
74. C₂₃×#553	C₂²	semidirect
75. C₂₃×#553	C₂²	semidirect
76. C₂₃×#553	C₂²	semidirect
77. C₂₃×#553	C₂²	semidirect
78. C₂₃×#553	C₂²	semidirect
79. C₂₃×#553	C₂²	semidirect
80. C₂₃×#552	C₂²	semidirect
81. C₂₃×#552	C₂²	semidirect
82. C₂₃×#552	C₂²	semidirect
83. C₂₃×#552	C₂²	semidirect
84. C₂₃×#552	C₂²	semidirect
85. C₂₃×#552	C₂²	semidirect
86. C₂₃×#552	C₂²	semidirect
87. C₂₃×#552	C₂²	semidirect
88. C₂₃×#552	C₂²	semidirect
89. C₂₃×#552	C₂²	semidirect
90. C₂₃×#552	C₂²	semidirect
91. C₂₃×#552	C₂²	semidirect
92. C₂₃×#552	C₂²	semidirect
93. C₂₃×#552	C₂²	semidirect
94. C₂₃×#552	C₂²	semidirect
95. C₂₃×#551	C₂²	semidirect
96. C₂₃×#551	C₂²	semidirect
97. C₂₃×#551	C₂²	semidirect
98. C₂₃×#551	C₂²	semidirect
99. C₂₃×#551	C₂²	semidirect
100. C₂₃×#551	C₂²	semidirect
101. C₂₃×#551	C₂²	semidirect
102. C₂₃×#551	C₂²	semidirect
103. C₂₃×#551	C₂²	semidirect
104. C₂₃×#551	C₂²	semidirect
105. C₂₃×#551	C₂²	semidirect
106. C₂₃×#551	C₂²	semidirect
107. C₂₃×#551	C₂²	semidirect
108. C₂₃×#551	C₂²	semidirect
109. C₂₃×#550	C₂²	semidirect
110. D₄×Q₈×C₂₃	C₂²	semidirect
111. C₂₃×#548	C₂²	semidirect
112. C₂₃×#548	C₂²	semidirect
113. C₂₃×#548	C₂²	semidirect
114. C₂₃×#548	C₂²	semidirect
115. C₂₃×#547	C₂²	semidirect
116. C₂₃×#547	C₂²	semidirect
117. C₂₃×#547	C₂²	semidirect
118. C₂₃×#547	C₂²	semidirect
119. C₂₃×#546	C₂²	semidirect
120. C₂₃×#546	C₂²	semidirect
121. C₂₃×#546	C₂²	semidirect
122. C₂₃×#546	C₂²	semidirect
123. C₂₃×#546	C₂²	semidirect
124. C₂₃×#546	C₂²	semidirect
125. C₂₃×#546	C₂²	semidirect
126. C₂₃×#546	C₂²	semidirect
127. C₂₃×#546	C₂²	semidirect
128. C₂₃×#546	C₂²	semidirect
129. C₂₃×#546	C₂²	semidirect
130. D₄²×C₂₃	C₂²	semidirect
131. D₄²×C₂₃	C₂²	semidirect
132. C₂₃×#544	C₂²	semidirect
133. C₂₃×#544	C₂²	semidirect
134. C₂₃×#544	C₂²	semidirect
135. C₂₃×#543	C₂²	semidirect
136. C₂₃×#542	C₂²	semidirect
137. C₂₃×#542	C₂²	semidirect
138. C₂₃×#542	C₂²	semidirect
139. C₂₃×#542	C₂²	semidirect
140. C₂₃×#542	C₂²	semidirect
141. C₂₃×#542	C₂²	semidirect
142. C₂₃×#542	C₂²	semidirect
143. C₂₃×#542	C₂²	semidirect
144. C₂₃×#542	C₂²	semidirect
145. C₂₃×#542	C₂²	semidirect
146. C₂₃×#541	C₂²	semidirect
147. C₂₃×#541	C₂²	semidirect
148. C₂₃×#541	C₂²	semidirect
149. C₂₃×#541	C₂²	semidirect
150. C₂₃×#541	C₂²	semidirect
151. C₂₃×#540	C₂²	semidirect
152. C₂₃×#540	C₂²	semidirect
153. C₂₃×#540	C₂²	semidirect
154. C₂₃×#540	C₂²	semidirect
155. C₂₃×#540	C₂²	semidirect
157. C₂₃×#539	C₂²	semidirect
158. C₂₃×#539	C₂²	semidirect
159. C₂₃×#539	C₂²	semidirect
160. C₂₃×#539	C₂²	semidirect
161. C₂₃×#539	C₂²	semidirect
162. C₂₃×#539	C₂²	semidirect
163. C₂₃×#539	C₂²	semidirect
164. C₂₃×#539	C₂²	semidirect
165. C₂₃×#539	C₂²	semidirect
166. C₂₃×#539	C₂²	semidirect
167. C₂₃×#539	C₂²	semidirect
168. C₂₃×#538	C₂²	semidirect
169. C₂₃×#538	C₂²	semidirect
170. C₂₃×#538	C₂²	semidirect
171. C₂₃×#538	C₂²	semidirect
172. C₂₃×#538	C₂²	semidirect
173. C₂₃×#538	C₂²	semidirect
174. C₂₃×#538	C₂²	semidirect
175. C₂₃×#538	C₂²	semidirect
176. C₂₃×#538	C₂²	semidirect
177. C₂₃×#538	C₂²	semidirect
178. C₂₃×#537	C₂²	semidirect
179. C₂₃×#536	C₂²	semidirect
180. C₂₃×#536	C₂²	semidirect
181. C₂₃×#535	C₂²	semidirect
183. C₂₃×#534	C₂²	semidirect
184. C₂₃×#533	C₂²	semidirect
185. C₂₃×#533	C₂²	semidirect
186. C₂₃×#533	C₂²	semidirect
187. C₂₃×#533	C₂²	semidirect
189. C₂₃×#532	C₂²	semidirect
190. C₂₃×#532	C₂²	semidirect
191. C₂₃×#532	C₂²	semidirect
194. C₂₃×#529	C₂²	semidirect
195. C₂₃×#529	C₂²	semidirect
196. C₂₃×#529	C₂²	semidirect
197. C₂₃×#529	C₂²	semidirect
198. C₂₃×#529	C₂²	semidirect
199. C₂₃×#529	C₂²	semidirect
200. C₂₃×#529	C₂²	semidirect
201. C₂₃×#529	C₂²	semidirect
202. C₂₃×#529	C₂²	semidirect
203. C₂₃×#529	C₂²	semidirect
204. C₂₃×#529	C₂²	semidirect
205. C₂₃×#529	C₂²	semidirect
206. C₂₃×#529	C₂²	semidirect
207. C₂₃×#529	C₂²	semidirect
208. C₂₃×#529	C₂²	semidirect
209. C₂₃×#529	C₂²	semidirect
210. C₂₃×#529	C₂²	semidirect
211. C₂₃×#529	C₂²	semidirect
212. C₂₃×#529	C₂²	semidirect
213. C₂₃×#529	C₂²	semidirect
214. C₂₃×#529	C₂²	semidirect
215. C₂₃×#529	C₂²	semidirect
216. C₂₃×#529	C₂²	semidirect
217. C₂₃×#529	C₂²	semidirect
218. C₂₃×#529	C₂²	semidirect
219. C₂₃×#529	C₂²	semidirect
220. C₂₃×#529	C₂²	semidirect
221. C₂₃×#529	C₂²	semidirect
222. C₂₃×#529	C₂²	semidirect
223. C₂₃×#529	C₂²	semidirect
224. C₂₃×#529	C₂²	semidirect
225. C₂×C₂₃×#126	C₂²	semidirect
226. C₂×C₂₃×#126	C₂²	semidirect
227. C₂×C₂₃×#126	C₂²	semidirect
228. C₂×C₂₃×#125	C₂²	semidirect
229. C₂×C₂₃×#125	C₂²	semidirect
230. C₂×C₂₃×#124	C₂²	semidirect
231. C₂×C₂₃×#124	C₂²	semidirect
233. C₂₃×#525	C₂²	semidirect
234. C₂₃×#525	C₂²	semidirect
235. C₂₃×#525	C₂²	semidirect
236. C₂₃×#525	C₂²	semidirect
237. C₂₃×#525	C₂²	semidirect
238. C₂×C₂₃×#123	C₂²	semidirect
239. C₂×C₂₃×#123	C₂²	semidirect
240. C₂×C₂₃×#123	C₂²	semidirect
241. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
242. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
243. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
246. C₂×C₂₃×#121	C₂²	semidirect
247. C₂₃×#520	C₂²	semidirect
248. C₂₃×#520	C₂²	semidirect
249. C₂₃×#520	C₂²	semidirect
250. C₂₃×#520	C₂²	semidirect
251. C₂₃×#519	C₂²	semidirect
252. C₂₃×#518	C₂²	semidirect
253. C₂₃×#518	C₂²	semidirect
254. C₂₃×#518	C₂²	semidirect
255. C₄×#41×C₂₃	C₂²	semidirect
256. C₄×#41×C₂₃	C₂²	semidirect
257. C₄×#41×C₂₃	C₂²	semidirect
258. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
259. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
260. C₂×C₄×D₄×C₂₃	C₂²	semidirect
261. C₂×C₄×D₄×C₂₃	C₂²	semidirect
262. C₂×C₄×D₄×C₂₃	C₂²	semidirect
263. C₂×C₄×D₄×C₂₃	C₂²	semidirect
264. C₂×C₂₃×#117	C₂²	semidirect
265. C₂×C₂₃×#117	C₂²	semidirect
266. C₂²×C₄²×C₂₃	C₂²	semidirect
991. #62828	C₂₃	direct (N × H)
1114. #3568	C₂×C₂₃	semidirect
1115. #3567	C₂×C₂₃	semidirect
1116. #3566	C₂×C₂₃	semidirect
1117. #3565	C₂×C₂₃	semidirect
1118. #3563	C₂×C₂₃	semidirect
1119. #3562	C₂×C₂₃	semidirect
1120. #3561	C₂×C₂₃	semidirect
1121. #3559	C₂×C₂₃	semidirect
1122. #3558	C₂×C₂₃	semidirect
1123. #3553	C₂×C₂₃	semidirect
1124. #3545	C₂×C₂₃	semidirect
1125. #3535	C₂×C₂₃	semidirect
1126. #3534	C₂×C₂₃	semidirect
1127. #3524	C₂×C₂₃	semidirect
1128. #3521	C₂×C₂₃	semidirect
1129. #3521	C₂×C₂₃	semidirect
1130. #3521	C₂×C₂₃	semidirect
1131. #3520	C₂×C₂₃	semidirect
1132. #3519	C₂×C₂₃	semidirect
1133. #3516	C₂×C₂₃	semidirect
1134. #3513	C₂×C₂₃	semidirect
1135. #3513	C₂×C₂₃	semidirect
1136. #3507	C₂×C₂₃	semidirect
1137. #3505	C₂×C₂₃	semidirect
1138. #3495	C₂×C₂₃	semidirect
1139. #3494	C₂×C₂₃	semidirect
1140. #3493	C₂×C₂₃	semidirect
1141. #3491	C₂×C₂₃	semidirect
1142. #3444	C₂×C₂₃	semidirect
1143. C₂×#529	C₂×C₂₃	semidirect
1144. C₂×#529	C₂×C₂₃	semidirect
1195. #564	C₂²×C₂₃	semidirect
1196. #563	C₂²×C₂₃	semidirect
1197. #563	C₂²×C₂₃	semidirect
1198. #563	C₂²×C₂₃	semidirect
1199. #563	C₂²×C₂₃	semidirect
1200. #562	C₂²×C₂₃	semidirect
1201. #562	C₂²×C₂₃	semidirect
1202. #562	C₂²×C₂₃	semidirect
1203. #562	C₂²×C₂₃	semidirect
1204. #562	C₂²×C₂₃	semidirect
1205. H(3,𝔽₄)	C₂²×C₂₃	semidirect
1206. #560	C₂²×C₂₃	semidirect
1207. #559	C₂²×C₂₃	semidirect
1208. #559	C₂²×C₂₃	semidirect
1209. #559	C₂²×C₂₃	semidirect
1210. #557	C₂²×C₂₃	semidirect
1211. #557	C₂²×C₂₃	semidirect
1212. #556	C₂²×C₂₃	semidirect
1213. #556	C₂²×C₂₃	semidirect
1214. #556	C₂²×C₂₃	semidirect
1215. #556	C₂²×C₂₃	semidirect
1216. #556	C₂²×C₂₃	semidirect
1217. #556	C₂²×C₂₃	semidirect
1218. #556	C₂²×C₂₃	semidirect
1219. #556	C₂²×C₂₃	semidirect
1220. #555	C₂²×C₂₃	semidirect
1221. #555	C₂²×C₂₃	semidirect
1222. #555	C₂²×C₂₃	semidirect
1223. #554	C₂²×C₂₃	semidirect
1224. #554	C₂²×C₂₃	semidirect
1225. #554	C₂²×C₂₃	semidirect
1226. #554	C₂²×C₂₃	semidirect
1227. #554	C₂²×C₂₃	semidirect
1228. #554	C₂²×C₂₃	semidirect
1229. #553	C₂²×C₂₃	semidirect
1230. #553	C₂²×C₂₃	semidirect
1231. #553	C₂²×C₂₃	semidirect
1232. #553	C₂²×C₂₃	semidirect
1233. #553	C₂²×C₂₃	semidirect
1234. #553	C₂²×C₂₃	semidirect
1235. #553	C₂²×C₂₃	semidirect
1236. #553	C₂²×C₂₃	semidirect
1237. #553	C₂²×C₂₃	semidirect
1238. #553	C₂²×C₂₃	semidirect
1239. #553	C₂²×C₂₃	semidirect
1240. #553	C₂²×C₂₃	semidirect
1241. #553	C₂²×C₂₃	semidirect
1242. #553	C₂²×C₂₃	semidirect
1243. #552	C₂²×C₂₃	semidirect
1244. #552	C₂²×C₂₃	semidirect
1245. #552	C₂²×C₂₃	semidirect
1246. #552	C₂²×C₂₃	semidirect
1247. #552	C₂²×C₂₃	semidirect
1248. #552	C₂²×C₂₃	semidirect
1249. #552	C₂²×C₂₃	semidirect
1250. #552	C₂²×C₂₃	semidirect
1251. #552	C₂²×C₂₃	semidirect
1252. #552	C₂²×C₂₃	semidirect
1253. #552	C₂²×C₂₃	semidirect
1254. #552	C₂²×C₂₃	semidirect
1255. #552	C₂²×C₂₃	semidirect
1256. #552	C₂²×C₂₃	semidirect
1257. #552	C₂²×C₂₃	semidirect
1258. #551	C₂²×C₂₃	semidirect
1259. #551	C₂²×C₂₃	semidirect
1260. #551	C₂²×C₂₃	semidirect
1261. #551	C₂²×C₂₃	semidirect
1262. #551	C₂²×C₂₃	semidirect
1263. #551	C₂²×C₂₃	semidirect
1264. #551	C₂²×C₂₃	semidirect
1265. #551	C₂²×C₂₃	semidirect
1266. #551	C₂²×C₂₃	semidirect
1267. #551	C₂²×C₂₃	semidirect
1268. #551	C₂²×C₂₃	semidirect
1269. #551	C₂²×C₂₃	semidirect
1270. #551	C₂²×C₂₃	semidirect
1271. #551	C₂²×C₂₃	semidirect
1272. #550	C₂²×C₂₃	semidirect
1273. D₄×Q₈	C₂²×C₂₃	semidirect
1274. #548	C₂²×C₂₃	semidirect
1275. #548	C₂²×C₂₃	semidirect
1276. #548	C₂²×C₂₃	semidirect
1277. #548	C₂²×C₂₃	semidirect
1278. #547	C₂²×C₂₃	semidirect
1279. #547	C₂²×C₂₃	semidirect
1280. #547	C₂²×C₂₃	semidirect
1281. #547	C₂²×C₂₃	semidirect
1282. #546	C₂²×C₂₃	semidirect
1283. #546	C₂²×C₂₃	semidirect
1284. #546	C₂²×C₂₃	semidirect
1285. #546	C₂²×C₂₃	semidirect
1286. #546	C₂²×C₂₃	semidirect
1287. #546	C₂²×C₂₃	semidirect
1288. #546	C₂²×C₂₃	semidirect
1289. #546	C₂²×C₂₃	semidirect
1290. #546	C₂²×C₂₃	semidirect
1291. #546	C₂²×C₂₃	semidirect
1292. #546	C₂²×C₂₃	semidirect
1293. D₄²	C₂²×C₂₃	semidirect
1294. D₄²	C₂²×C₂₃	semidirect
1295. #544	C₂²×C₂₃	semidirect
1296. #544	C₂²×C₂₃	semidirect
1297. #544	C₂²×C₂₃	semidirect
1298. #543	C₂²×C₂₃	semidirect
1299. #542	C₂²×C₂₃	semidirect
1300. #542	C₂²×C₂₃	semidirect
1301. #542	C₂²×C₂₃	semidirect
1302. #542	C₂²×C₂₃	semidirect
1303. #542	C₂²×C₂₃	semidirect
1304. #542	C₂²×C₂₃	semidirect
1305. #542	C₂²×C₂₃	semidirect
1306. #542	C₂²×C₂₃	semidirect
1307. #542	C₂²×C₂₃	semidirect
1308. #542	C₂²×C₂₃	semidirect
1309. #541	C₂²×C₂₃	semidirect
1310. #541	C₂²×C₂₃	semidirect
1311. #541	C₂²×C₂₃	semidirect
1312. #541	C₂²×C₂₃	semidirect
1313. #541	C₂²×C₂₃	semidirect
1314. #540	C₂²×C₂₃	semidirect
1315. #540	C₂²×C₂₃	semidirect
1316. #540	C₂²×C₂₃	semidirect
1317. #540	C₂²×C₂₃	semidirect
1318. #540	C₂²×C₂₃	semidirect
1320. #539	C₂²×C₂₃	semidirect
1321. #539	C₂²×C₂₃	semidirect
1322. #539	C₂²×C₂₃	semidirect
1323. #539	C₂²×C₂₃	semidirect
1324. #539	C₂²×C₂₃	semidirect
1325. #539	C₂²×C₂₃	semidirect
1326. #539	C₂²×C₂₃	semidirect
1327. #539	C₂²×C₂₃	semidirect
1328. #539	C₂²×C₂₃	semidirect
1329. #539	C₂²×C₂₃	semidirect
1330. #539	C₂²×C₂₃	semidirect
1331. #538	C₂²×C₂₃	semidirect
1332. #538	C₂²×C₂₃	semidirect
1333. #538	C₂²×C₂₃	semidirect
1334. #538	C₂²×C₂₃	semidirect
1335. #538	C₂²×C₂₃	semidirect
1336. #538	C₂²×C₂₃	semidirect
1337. #538	C₂²×C₂₃	semidirect
1338. #538	C₂²×C₂₃	semidirect
1339. #538	C₂²×C₂₃	semidirect
1340. #538	C₂²×C₂₃	semidirect
1341. #537	C₂²×C₂₃	semidirect
1342. #536	C₂²×C₂₃	semidirect
1343. #536	C₂²×C₂₃	semidirect
1344. #535	C₂²×C₂₃	semidirect
1346. #534	C₂²×C₂₃	semidirect
1347. #533	C₂²×C₂₃	semidirect
1348. #533	C₂²×C₂₃	semidirect
1349. #533	C₂²×C₂₃	semidirect
1350. #533	C₂²×C₂₃	semidirect
1352. #532	C₂²×C₂₃	semidirect
1353. #532	C₂²×C₂₃	semidirect
1354. #532	C₂²×C₂₃	semidirect
1357. #529	C₂²×C₂₃	semidirect
1358. #529	C₂²×C₂₃	semidirect
1359. #529	C₂²×C₂₃	semidirect
1360. #529	C₂²×C₂₃	semidirect
1361. #529	C₂²×C₂₃	semidirect
1362. #529	C₂²×C₂₃	semidirect
1363. #529	C₂²×C₂₃	semidirect
1364. #529	C₂²×C₂₃	semidirect
1365. #529	C₂²×C₂₃	semidirect
1366. #529	C₂²×C₂₃	semidirect
1367. #529	C₂²×C₂₃	semidirect
1368. #529	C₂²×C₂₃	semidirect
1369. #529	C₂²×C₂₃	semidirect
1370. #529	C₂²×C₂₃	semidirect
1371. #529	C₂²×C₂₃	semidirect
1372. #529	C₂²×C₂₃	semidirect
1373. #529	C₂²×C₂₃	semidirect
1374. #529	C₂²×C₂₃	semidirect
1375. #529	C₂²×C₂₃	semidirect
1376. #529	C₂²×C₂₃	semidirect
1377. #529	C₂²×C₂₃	semidirect
1378. #529	C₂²×C₂₃	semidirect
1379. #529	C₂²×C₂₃	semidirect
1380. #529	C₂²×C₂₃	semidirect
1381. #529	C₂²×C₂₃	semidirect
1382. #529	C₂²×C₂₃	semidirect
1383. #529	C₂²×C₂₃	semidirect
1384. #529	C₂²×C₂₃	semidirect
1385. #529	C₂²×C₂₃	semidirect
1386. #529	C₂²×C₂₃	semidirect
1387. #529	C₂²×C₂₃	semidirect
1388. C₂×#126	C₂²×C₂₃	semidirect
1389. C₂×#126	C₂²×C₂₃	semidirect
1390. C₂×#126	C₂²×C₂₃	semidirect
1391. C₂×#125	C₂²×C₂₃	semidirect
1392. C₂×#125	C₂²×C₂₃	semidirect
1393. C₂×#124	C₂²×C₂₃	semidirect
1394. C₂×#124	C₂²×C₂₃	semidirect
1396. #525	C₂²×C₂₃	semidirect
1397. #525	C₂²×C₂₃	semidirect
1398. #525	C₂²×C₂₃	semidirect
1399. #525	C₂²×C₂₃	semidirect
1400. #525	C₂²×C₂₃	semidirect
1401. C₂×#123	C₂²×C₂₃	semidirect
1402. C₂×#123	C₂²×C₂₃	semidirect
1403. C₂×#123	C₂²×C₂₃	semidirect
1404. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
1405. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
1406. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
1409. C₂×#121	C₂²×C₂₃	semidirect
1410. #520	C₂²×C₂₃	semidirect
1411. #520	C₂²×C₂₃	semidirect
1412. #520	C₂²×C₂₃	semidirect
1413. #520	C₂²×C₂₃	semidirect
1414. #519	C₂²×C₂₃	semidirect
1415. #518	C₂²×C₂₃	semidirect
1416. #518	C₂²×C₂₃	semidirect
1417. #518	C₂²×C₂₃	semidirect
1418. C₄×#41	C₂²×C₂₃	semidirect
1419. C₄×#41	C₂²×C₂₃	semidirect
1420. C₄×#41	C₂²×C₂₃	semidirect
1421. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
1422. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
1423. C₂×C₄×D₄	C₂²×C₂₃	semidirect
1424. C₂×C₄×D₄	C₂²×C₂₃	semidirect
1425. C₂×C₄×D₄	C₂²×C₂₃	semidirect
1426. C₂×C₄×D₄	C₂²×C₂₃	semidirect
1427. C₂×#117	C₂²×C₂₃	semidirect
1428. C₂×#117	C₂²×C₂₃	semidirect
1429. C₂²×C₄²	C₂²×C₂₃	semidirect
1907. C₂₃	#62828	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂₃×#3568	2
C₂₃×#3567	2
C₂₃×#3566	2
C₂₃×#3565	2
C₂₃×#3563	2
C₂₃×#3562	2
C₂₃×#3561	2
C₂₃×#3559	2
C₂₃×#3558	2
C₂₃×#3553	2
C₂₃×#3545	2
C₂₃×#3535	2
C₂₃×#3534	2
C₂₃×#3524	2
C₂₃×#3521	2
C₂₃×#3520	2
C₂₃×#3519	2
C₂₃×#3516	2
C₂₃×#3513	2
C₂₃×#3507	2
C₂₃×#3505	2
C₂₃×#3495	2
C₂₃×#3494	2
C₂₃×#3493	2
C₂₃×#3491	2
C₂₃×#3444	2
C₂×C₂₃×#529	2
#62828	23

Subgroups — C23×#62828 #19210454

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#62828 #19210454