Subgroups — C₂₃×#62752 #19210378

Order 5888.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3565	C₂	1	4	yes	maximal, complemented
2	C₂₃×#3564	C₂	1	4	yes	maximal, complemented
3	C₂₃×#3563	C₂	1	2	yes	maximal, complemented
4	C₂₃×#3563	C₂	1	2	yes	maximal, complemented
5	C₂₃×#3561	C₂	1	2	yes	maximal, complemented
6	C₂₃×#3559	C₂	1	2	yes	maximal, complemented
7	C₂₃×#3555	C₂	1	2	yes	maximal, complemented
8	C₂₃×#3552	C₂	1	2	yes	maximal, complemented
9	C₂₃×#3547	C₂	1	2	yes	maximal, complemented
10	C₂₃×#3544	C₂	1	2	yes	maximal, complemented
11	C₂₃×#3538	C₂	1	2	yes	maximal, complemented
12	C₂₃×#3536	C₂	1	2	yes	maximal, complemented
13	C₂₃×#3535	C₂	1	4	yes	maximal, complemented
14	C₂₃×#3531	C₂	1	4	yes	maximal, complemented
15	C₂₃×#3482	C₂	1	4	yes	maximal, complemented
16	Q₈×#41×C₂₃	C₂	1	2	yes	maximal, complemented
17	C₂₃×#3475	C₂	1	4	yes	maximal, complemented
18	C₂₃×#3475	C₂	1	2	yes	maximal, complemented
19	C₂₃×#3461	C₂	1	4	yes	maximal, complemented
20	C₂₃×#3461	C₂	1	4	yes	maximal, complemented
21	C₂₃×#3458	C₂	1	2	yes	maximal, complemented
22	C₂₃×#3455	C₂	1	2	yes	maximal, complemented
23	C₂₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₂₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×C₂₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#564	C₂²	1	4	yes	complemented
27	C₂₃×#563	C₂²	1	8	yes	complemented
28	C₂₃×#563	C₂²	1	8	yes	complemented
29	C₂₃×#563	C₂²	1	8	yes	complemented
30	C₂₃×#563	C₂²	1	8	yes	complemented
31	C₂₃×#563	C₂²	1	4	yes	complemented
32	C₂₃×#563	C₂²	1	4	yes	complemented
33	C₂₃×#562	C₂²	1	8	yes	—
34	C₂₃×#562	C₂²	1	8	yes	complemented
35	C₂₃×#562	C₂²	1	4	yes	complemented
36	Q₈²×C₂₃	C₂²	1	2	yes	complemented
37	C₂₃×#557	C₂²	1	2	yes	complemented
38	C₂₃×#557	C₂²	1	4	yes	complemented
39	C₂₃×#557	C₂²	1	4	yes	complemented
40	C₂₃×#556	C₂²	1	2	yes	complemented
41	C₂₃×#556	C₂²	1	4	yes	complemented
42	C₂₃×#556	C₂²	1	4	yes	complemented
43	C₂₃×#556	C₂²	1	8	yes	complemented
44	C₂₃×#555	C₂²	1	2	yes	complemented
45	C₂₃×#555	C₂²	1	4	yes	complemented
46	C₂₃×#554	C₂²	1	8	yes	—
47	C₂₃×#554	C₂²	1	4	yes	—
48	C₂₃×#554	C₂²	1	2	yes	complemented
49	C₂₃×#554	C₂²	1	4	yes	complemented
50	C₂₃×#554	C₂²	1	2	yes	complemented
51	C₂₃×#554	C₂²	1	4	yes	complemented
52	C₂₃×#553	C₂²	1	4	yes	complemented
53	C₂₃×#553	C₂²	1	4	yes	complemented
54	C₂₃×#553	C₂²	1	4	yes	complemented
55	C₂₃×#552	C₂²	1	4	yes	—
56	C₂₃×#552	C₂²	1	8	yes	—
57	C₂₃×#552	C₂²	1	4	yes	complemented
58	C₂₃×#552	C₂²	1	4	yes	complemented
59	C₂₃×#552	C₂²	1	4	yes	complemented
60	C₂₃×#552	C₂²	1	8	yes	complemented
61	C₂₃×#552	C₂²	1	4	yes	complemented
62	C₂₃×#552	C₂²	1	4	yes	complemented
63	C₂₃×#552	C₂²	1	8	yes	complemented
64	C₂₃×#551	C₂²	1	8	yes	—
65	C₂₃×#551	C₂²	1	8	yes	—
66	C₂₃×#551	C₂²	1	8	yes	—
67	D₄×Q₈×C₂₃	C₂²	1	4	yes	—
68	D₄×Q₈×C₂₃	C₂²	1	2	yes	complemented
69	D₄×Q₈×C₂₃	C₂²	1	4	yes	complemented
70	C₂₃×#548	C₂²	1	4	yes	—
71	C₂₃×#548	C₂²	1	4	yes	complemented
72	C₂₃×#547	C₂²	1	4	yes	—
73	C₂₃×#547	C₂²	1	4	yes	complemented
74	C₂₃×#547	C₂²	1	2	yes	complemented
75	C₂₃×#547	C₂²	1	8	yes	complemented
76	C₂₃×#546	C₂²	1	8	yes	—
77	C₂₃×#546	C₂²	1	4	yes	—
78	C₂₃×#544	C₂²	1	4	yes	—
79	C₂₃×#544	C₂²	1	4	yes	—
80	C₂₃×#544	C₂²	1	4	yes	complemented
81	C₂₃×#544	C₂²	1	4	yes	complemented
82	C₂₃×#544	C₂²	1	4	yes	complemented
83	C₂₃×#544	C₂²	1	4	yes	complemented
84	C₂₃×#544	C₂²	1	4	yes	complemented
85	C₂₃×#544	C₂²	1	4	yes	complemented
86	C₂₃×#543	C₂²	1	4	yes	—
87	C₂₃×#543	C₂²	1	4	yes	—
88	C₂₃×#542	C₂²	1	4	yes	—
89	C₂₃×#542	C₂²	1	4	yes	complemented
90	C₂₃×#542	C₂²	1	4	yes	complemented
91	C₂₃×#542	C₂²	1	8	yes	complemented
92	C₂₃×#542	C₂²	1	4	yes	complemented
93	C₂₃×#542	C₂²	1	8	yes	complemented
94	C₂₃×#542	C₂²	1	8	yes	complemented
95	C₂₃×#541	C₂²	1	4	yes	complemented
96	C₂₃×#541	C₂²	1	4	yes	complemented
97	C₂₃×#541	C₂²	1	4	yes	complemented
98	C₂₃×#541	C₂²	1	8	yes	complemented
99	C₂₃×#541	C₂²	1	8	yes	complemented
100	C₂₃×#541	C₂²	1	8	yes	complemented
101	C₂₃×#540	C₂²	1	4	yes	complemented
102	C₂₃×#539	C₂²	1	4	yes	—
103	C₂₃×#539	C₂²	1	4	yes	—
104	C₂₃×#539	C₂²	1	4	yes	—
105	C₂₃×#539	C₂²	1	8	yes	complemented
106	C₂₃×#539	C₂²	1	8	yes	complemented
107	C₂₃×#539	C₂²	1	4	yes	complemented
108	C₂₃×#539	C₂²	1	8	yes	complemented
109	C₂₃×#538	C₂²	1	4	yes	—
110	C₂₃×#538	C₂²	1	4	yes	—
111	C₂₃×#537	C₂²	1	4	yes	—
112	C₂₃×#537	C₂²	1	4	yes	—
113	C₂₃×#536	C₂²	1	8	yes	complemented
114	C₂₃×#536	C₂²	1	4	yes	complemented
115	C₂₃×#536	C₂²	1	4	yes	complemented
116	C₂₃×#533	C₂²	1	2	yes	—
117	C₂₃×#533	C₂²	1	2	yes	—
118	C₂₃×#533	C₂²	1	2	yes	—
119	C₂₃×#533	C₂²	1	2	yes	—
120	C₂₃×#533	C₂²	1	1	yes	characteristic
121	C₂₃×#533	C₂²	1	4	yes	—
122	C₂₃×#533	C₂²	1	2	yes	complemented
123	C₂₃×#533	C₂²	1	2	yes	complemented
124	C₂₃×#533	C₂²	1	2	yes	complemented
125	C₂₃×#533	C₂²	1	2	yes	complemented
126	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
127	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
128	C₂₃×#533	C₂²	1	8	yes	complemented
129	C₂₃×#533	C₂²	1	8	yes	complemented
130	C₂₃×#533	C₂²	1	4	yes	complemented
131	C₂₃×#533	C₂²	1	8	yes	complemented
132	C₂₃×#532	C₂²	1	1	yes	characteristic
133	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
137	C₂₃×#529	C₂²	1	2	yes	—
138	C₂₃×#529	C₂²	1	2	yes	—
139	C₂₃×#529	C₂²	1	2	yes	—
140	C₂₃×#529	C₂²	1	2	yes	—
141	C₂₃×#529	C₂²	1	2	yes	—
142	C₂₃×#529	C₂²	1	2	yes	—
143	C₂₃×#529	C₂²	1	2	yes	—
144	C₂₃×#529	C₂²	1	2	yes	—
145	C₂₃×#529	C₂²	1	2	yes	—
146	C₂₃×#529	C₂²	1	2	yes	—
147	C₂₃×#529	C₂²	1	2	yes	complemented
148	C₂₃×#529	C₂²	1	2	yes	complemented
149	C₂₃×#529	C₂²	1	2	yes	complemented
150	C₂₃×#529	C₂²	1	2	yes	complemented
151	C₂₃×#529	C₂²	1	8	yes	complemented
152	C₂₃×#529	C₂²	1	8	yes	complemented
153	C₂₃×#529	C₂²	1	8	yes	complemented
154	C₂₃×#529	C₂²	1	4	yes	complemented
155	C₂₃×#529	C₂²	1	8	yes	complemented
156	C₂₃×#529	C₂²	1	8	yes	complemented
157	C₂₃×#529	C₂²	1	8	yes	complemented
158	C₂×C₂₃×#126	C₂²	1	2	yes	—
159	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic
160	C₂×C₂₃×#125	C₂²	1	2	yes	complemented
161	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic
162	C₂₃×#525	C₂²	1	2	yes	—
163	C₂₃×#525	C₂²	1	2	yes	—
164	C₂₃×#525	C₂²	1	2	yes	—
165	C₂₃×#525	C₂²	1	4	yes	—
166	C₂×C₂₃×#123	C₂²	1	2	yes	—
167	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
168	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	2	yes	—
169	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	2	yes	—
170	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
171	C₄×#41×C₂₃	C₂²	1	2	yes	—
172	C₄×#41×C₂₃	C₂²	1	4	yes	—
173	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
174	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
175	C₄×#41×C₂₃	C₂²	1	8	yes	complemented
176	C₄×#41×C₂₃	C₂²	1	4	yes	complemented
177	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
178	C₂×C₄×Q₈×C₂₃	C₂²	1	2	yes	complemented
179	C₂×C₄×Q₈×C₂₃	C₂²	1	2	yes	complemented
180	C₂×C₄×Q₈×C₂₃	C₂²	1	4	yes	complemented
181	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
182	C₂×C₄×D₄×C₂₃	C₂²	1	2	yes	—
183	C₂×C₂₃×#117	C₂²	1	2	yes	—
184	C₂×C₂₃×#117	C₂²	1	2	yes	—
185	C₂×C₂₃×#117	C₂²	1	4	yes	—
186	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic
187	C₂×#41×C₂₃	C₂³	1	2	yes	—
188	C₂×#41×C₂₃	C₂³	1	8	yes	—
189	C₂×#41×C₂₃	C₂³	1	2	yes	—
190	C₂×#41×C₂₃	C₂³	1	4	yes	—
191	C₂×#41×C₂₃	C₂³	1	2	yes	—
192	C₂²×Q₈×C₂₃	C₂³	1	2	yes	—
193	C₂²×Q₈×C₂₃	C₂³	1	4	yes	—
194	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
195	C₂²×Q₈×C₂₃	C₂³	1	2	yes	—
196	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
197	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₂₃	C₂³	1	2	yes	—
200	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
202	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
203	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
204	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
205	C₂₃×C₄⋊Q₈	C₂³	1	8	yes	—
206	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
207	C₂₃×C₄⋊Q₈	C₂³	1	8	yes	—
208	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
209	C₂₃×C₄⋊Q₈	C₂³	1	8	yes	—
210	C₂₃×C₄⋊Q₈	C₂³	1	8	yes	—
211	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
212	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
213	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
214	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
215	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
216	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
217	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
218	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₂₃×C₄⋊Q₈	C₂³	1	8	yes	—
222	C₂₃×C₄⋊Q₈	C₂³	1	8	yes	—
223	C₂₃×#127	C₂³	1	1	yes	characteristic
224	C₂₃×#126	C₂³	1	8	yes	—
225	C₂₃×#126	C₂³	1	8	yes	—
226	C₂₃×#126	C₂³	1	8	yes	—
227	C₂₃×#126	C₂³	1	8	yes	—
228	C₂₃×#126	C₂³	1	8	yes	—
229	C₂₃×#126	C₂³	1	8	yes	—
230	C₂₃×#126	C₂³	1	8	yes	—
231	C₂₃×#126	C₂³	1	8	yes	—
232	C₂₃×#126	C₂³	1	8	yes	—
233	C₂₃×#126	C₂³	1	4	yes	—
234	C₂₃×#126	C₂³	1	8	yes	—
235	C₂₃×#126	C₂³	1	8	yes	—
236	C₂₃×#126	C₂³	1	4	yes	—
237	C₂₃×#126	C₂³	1	4	yes	—
238	C₂₃×#126	C₂³	1	4	yes	—
239	C₂₃×#126	C₂³	1	4	yes	—
240	C₂₃×#126	C₂³	1	4	yes	—
241	C₂₃×#126	C₂³	1	8	yes	—
242	C₂₃×#126	C₂³	1	8	yes	—
243	C₂₃×#125	C₂³	1	8	yes	—
244	C₂₃×#125	C₂³	1	4	yes	—
245	C₂₃×#125	C₂³	1	8	yes	—
246	C₂₃×#125	C₂³	1	8	yes	—
247	C₂₃×#125	C₂³	1	8	yes	—
248	C₂₃×#125	C₂³	1	8	yes	—
249	C₂₃×#125	C₂³	1	2	yes	—
250	C₂₃×#125	C₂³	1	8	yes	—
251	C₂₃×#125	C₂³	1	8	yes	—
252	C₂₃×#125	C₂³	1	4	yes	—
253	C₂₃×#125	C₂³	1	4	yes	—
254	C₂₃×#125	C₂³	1	4	yes	—
255	C₂₃×#125	C₂³	1	8	yes	—
256	C₂₃×#125	C₂³	1	8	yes	—
257	C₂₃×#125	C₂³	1	8	yes	—
258	C₂₃×#125	C₂³	1	4	yes	—
259	C₂₃×#125	C₂³	1	2	yes	—
260	C₂₃×#125	C₂³	1	2	yes	—
261	C₂₃×#125	C₂³	1	2	yes	—
262	C₂₃×#125	C₂³	1	2	yes	—
263	C₂₃×#125	C₂³	1	4	yes	—
264	C₂₃×#125	C₂³	1	4	yes	—
265	C₂₃×#125	C₂³	1	2	yes	—
266	C₂₃×#125	C₂³	1	2	yes	—
267	C₂₃×#125	C₂³	1	8	yes	—
268	C₂₃×#125	C₂³	1	8	yes	—
269	C₂₃×#125	C₂³	1	8	yes	—
270	C₂₃×#124	C₂³	1	4	yes	—
271	C₂₃×#124	C₂³	1	8	yes	—
272	C₂₃×#124	C₂³	1	2	yes	—
273	C₂₃×#124	C₂³	1	8	yes	—
274	C₂₃×#124	C₂³	1	8	yes	—
275	C₂₃×#124	C₂³	1	8	yes	—
276	C₂₃×#124	C₂³	1	8	yes	—
277	C₂₃×#124	C₂³	1	2	yes	—
278	C₂₃×#124	C₂³	1	2	yes	—
279	C₂₃×#124	C₂³	1	2	yes	—
280	C₂₃×#124	C₂³	1	2	yes	—
281	C₂₃×#124	C₂³	1	2	yes	—
282	C₂₃×#124	C₂³	1	2	yes	—
283	C₂₃×#124	C₂³	1	8	yes	—
284	C₂₃×#123	C₂³	1	8	yes	—
285	C₂₃×#123	C₂³	1	8	yes	—
286	C₂₃×#123	C₂³	1	8	yes	—
287	C₂₃×#123	C₂³	1	4	yes	—
288	C₂₃×#123	C₂³	1	8	yes	—
289	C₂₃×#123	C₂³	1	8	yes	—
290	C₂₃×#123	C₂³	1	8	yes	—
291	C₂₃×#123	C₂³	1	8	yes	—
292	C₂₃×#123	C₂³	1	4	yes	—
293	C₂₃×#123	C₂³	1	8	yes	—
294	C₂₃×#123	C₂³	1	8	yes	—
295	C₂₃×#123	C₂³	1	8	yes	—
296	C₂₃×#123	C₂³	1	8	yes	—
297	C₂₃×#123	C₂³	1	8	yes	—
298	C₂₃×#123	C₂³	1	4	yes	—
299	C₂₃×#123	C₂³	1	4	yes	—
300	C₂₃×#123	C₂³	1	4	yes	—
301	C₂₃×#123	C₂³	1	4	yes	—
302	C₂₃×#123	C₂³	1	4	yes	—
303	C₂₃×#123	C₂³	1	8	yes	—
304	C₂₃×#123	C₂³	1	8	yes	—
305	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
307	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
308	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
309	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
310	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
311	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
312	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
314	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
315	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
317	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
318	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
319	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
320	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
321	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
322	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
324	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
326	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
328	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
329	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
333	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
336	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
337	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
338	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
339	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
341	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
342	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
343	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
344	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
345	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
346	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
348	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
349	C₂₃×#121	C₂³	1	2	yes	—
350	C₂₃×#121	C₂³	1	4	yes	—
351	C₂₃×#121	C₂³	1	2	yes	—
352	C₂₃×#121	C₂³	1	8	yes	—
353	C₂₃×#121	C₂³	1	8	yes	—
354	C₂₃×#121	C₂³	1	4	yes	—
355	C₂₃×#121	C₂³	1	4	yes	—
356	C₂₃×#121	C₂³	1	2	yes	—
357	C₂₃×#121	C₂³	1	8	yes	—
358	C₂₃×#121	C₂³	1	8	yes	—
359	C₂₃×#121	C₂³	1	8	yes	—
360	C₂₃×#121	C₂³	1	2	yes	—
361	C₂₃×#121	C₂³	1	2	yes	—
362	C₂₃×#121	C₂³	1	2	yes	—
363	C₂₃×#121	C₂³	1	2	yes	—
364	C₂₃×#121	C₂³	1	2	yes	—
365	C₂₃×#121	C₂³	1	2	yes	—
366	C₂₃×#121	C₂³	1	2	yes	—
367	C₂₃×#121	C₂³	1	8	yes	—
368	C₂₃×#120	C₂³	1	4	yes	—
369	C₂₃×#120	C₂³	1	8	yes	—
370	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
371	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
372	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
373	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
374	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
375	C₄×Q₈×C₂₃	C₂³	1	8	yes	—
376	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
377	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
378	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
379	C₄×Q₈×C₂₃	C₂³	1	8	yes	—
380	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
381	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
382	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
383	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
384	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
385	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
386	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
387	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
388	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
389	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
390	C₄×Q₈×C₂₃	C₂³	1	8	yes	—
391	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
392	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
393	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
394	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
395	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
396	C₄×Q₈×C₂₃	C₂³	1	8	yes	—
397	C₄×D₄×C₂₃	C₂³	1	4	yes	—
398	C₄×D₄×C₂₃	C₂³	1	4	yes	—
399	C₄×D₄×C₂₃	C₂³	1	8	yes	—
400	C₄×D₄×C₂₃	C₂³	1	2	yes	—
401	C₄×D₄×C₂₃	C₂³	1	8	yes	—
402	C₄×D₄×C₂₃	C₂³	1	4	yes	—
403	C₄×D₄×C₂₃	C₂³	1	4	yes	—
404	C₄×D₄×C₂₃	C₂³	1	2	yes	—
405	C₄×D₄×C₂₃	C₂³	1	8	yes	—
406	C₄×D₄×C₂₃	C₂³	1	2	yes	—
407	C₄×D₄×C₂₃	C₂³	1	8	yes	—
408	C₄×D₄×C₂₃	C₂³	1	8	yes	—
409	C₄×D₄×C₂₃	C₂³	1	4	yes	—
410	C₄×D₄×C₂₃	C₂³	1	4	yes	—
411	C₄×D₄×C₂₃	C₂³	1	4	yes	—
412	C₄×D₄×C₂₃	C₂³	1	8	yes	—
413	C₄×D₄×C₂₃	C₂³	1	2	yes	—
414	C₄×D₄×C₂₃	C₂³	1	4	yes	—
415	C₄×D₄×C₂₃	C₂³	1	2	yes	—
416	C₄×D₄×C₂₃	C₂³	1	2	yes	—
417	C₄×D₄×C₂₃	C₂³	1	4	yes	—
418	C₄×D₄×C₂₃	C₂³	1	2	yes	—
419	C₄×D₄×C₂₃	C₂³	1	4	yes	—
420	C₄×D₄×C₂₃	C₂³	1	4	yes	—
421	C₄×D₄×C₂₃	C₂³	1	4	yes	—
422	C₄×D₄×C₂₃	C₂³	1	8	yes	—
423	C₄×D₄×C₂₃	C₂³	1	8	yes	—
424	C₄×D₄×C₂₃	C₂³	1	4	yes	—
425	C₄×D₄×C₂₃	C₂³	1	2	yes	—
426	C₄×D₄×C₂₃	C₂³	1	2	yes	—
427	C₄×D₄×C₂₃	C₂³	1	2	yes	—
428	C₂₃×#117	C₂³	1	4	yes	—
429	C₂₃×#117	C₂³	1	8	yes	—
430	C₂₃×#117	C₂³	1	8	yes	—
431	C₂₃×#117	C₂³	1	8	yes	—
432	C₂₃×#117	C₂³	1	8	yes	—
433	C₂₃×#117	C₂³	1	4	yes	—
434	C₂₃×#117	C₂³	1	8	yes	—
435	C₂₃×#117	C₂³	1	2	yes	—
436	C₂₃×#117	C₂³	1	4	yes	—
437	C₂₃×#117	C₂³	1	4	yes	—
438	C₂₃×#117	C₂³	1	4	yes	—
439	C₂₃×#117	C₂³	1	4	yes	—
440	C₂₃×#117	C₂³	1	4	yes	—
441	C₂₃×#117	C₂³	1	2	yes	—
442	C₂₃×#117	C₂³	1	4	yes	—
443	C₂₃×#117	C₂³	1	4	yes	—
444	C₂₃×#117	C₂³	1	4	yes	—
445	C₂₃×#117	C₂³	1	4	yes	—
446	C₂₃×#117	C₂³	1	4	yes	—
447	C₂₃×#117	C₂³	1	8	yes	—
448	C₂₃×#117	C₂³	1	4	yes	—
449	C₂₃×#117	C₂³	1	8	yes	—
450	C₂₃×#117	C₂³	1	2	yes	—
451	C₂₃×#117	C₂³	1	4	yes	—
452	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
453	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
454	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
455	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
456	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
457	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
458	C₂×C₄⋊C₄×C₂₃	C₂³	1	8	yes	—
459	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
460	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
461	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
462	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
463	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
464	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
465	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
466	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
467	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
468	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
469	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
470	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
471	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
472	C₂×C₂²⋊C₄×C₂₃	C₂³	1	8	yes	—
473	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
474	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
475	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
476	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
477	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
478	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
479	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
480	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
481	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
482	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
483	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
484	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
485	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
486	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
487	C₂×C₄²×C₂₃	C₂³	1	2	yes	—
488	C₂×C₄²×C₂₃	C₂³	1	4	yes	—
489	C₂×C₄²×C₂₃	C₂³	1	8	yes	—
490	C₂×C₄²×C₂₃	C₂³	1	4	yes	—
491	C₂×C₄²×C₂₃	C₂³	1	8	yes	—
492	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
493	C₂⁴×C₂₃	C₂⁴	1	2	yes	—
494	#41×C₂₃	—	2	8	no	—
495	#41×C₂₃	—	4	4	no	—
496	#41×C₂₃	—	4	4	no	—
497	#41×C₂₃	—	4	16	no	—
498	#41×C₂₃	—	4	8	no	—
499	C₂×Q₈×C₂₃	—	4	4	no	—
500	C₂×Q₈×C₂₃	—	4	2	no	—
501	C₂×Q₈×C₂₃	—	4	4	no	—
502	C₂×Q₈×C₂₃	—	4	8	no	—
503	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
504	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
505	C₂×Q₈×C₂₃	C₂⁴	1	4	yes	—
506	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
507	C₂×Q₈×C₂₃	C₂⁴	1	4	yes	—
508	C₂×Q₈×C₂₃	C₂⁴	1	8	yes	—
509	C₂×Q₈×C₂₃	C₂⁴	1	4	yes	—
510	C₂×Q₈×C₂₃	C₂⁴	1	4	yes	—
511	C₂×Q₈×C₂₃	C₂⁴	1	8	yes	—
512	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
513	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
514	C₂×D₄×C₂₃	—	4	2	no	—
515	C₂×D₄×C₂₃	—	4	4	no	—
516	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
517	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
518	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
519	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
520	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
521	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
522	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
523	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
524	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
525	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
526	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
527	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
528	C₂²×C₄×C₂₃	—	2	4	no	—
529	C₂²×C₄×C₂₃	—	2	8	no	—
530	C₂²×C₄×C₂₃	—	4	2	no	—
531	C₂²×C₄×C₂₃	—	4	2	no	—
532	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
541	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
542	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
543	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
544	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
546	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
548	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
556	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
557	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
558	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
559	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
560	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
561	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
562	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
563	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
564	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
565	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
566	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
567	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
568	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
569	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
570	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
571	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
572	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
573	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
574	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
575	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
576	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
577	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
578	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
579	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
580	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
581	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
582	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
583	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
584	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
585	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
586	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
587	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
588	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
589	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
590	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
591	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
592	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
593	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
594	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
595	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
596	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
597	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
598	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
599	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
600	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
601	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
602	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
603	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
604	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
605	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
606	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
607	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
608	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
609	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
610	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
611	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
612	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
613	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
614	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
615	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
616	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
617	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
618	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
619	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
620	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
621	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
622	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
623	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
624	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
625	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
626	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
627	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
628	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
629	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
630	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
631	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
632	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
633	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
634	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
635	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
636	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
637	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
638	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
639	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
640	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
641	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
642	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
643	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
644	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
645	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
646	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
647	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
648	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
649	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
650	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
651	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
652	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
653	C₄²×C₂₃	C₂⁴	1	8	yes	—
654	C₄²×C₂₃	C₂⁴	1	4	yes	—
655	C₄²×C₂₃	C₂⁴	1	8	yes	—
656	C₄²×C₂₃	C₂⁴	1	4	yes	—
657	C₄²×C₂₃	C₂⁴	1	4	yes	—
658	C₄²×C₂₃	C₂⁴	1	8	yes	—
659	C₄²×C₂₃	C₂⁴	1	8	yes	—
660	C₄²×C₂₃	C₂⁴	1	8	yes	—
661	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
662	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
663	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
664	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
665	C₄²×C₂₃	C₂⁴	1	4	yes	—
666	C₄²×C₂₃	C₂⁴	1	8	yes	—
667	C₄²×C₂₃	C₂⁴	1	4	yes	—
668	#62752	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
669	C₂³×C₂₃	—	2	2	no	—
670	C₂³×C₂₃	—	2	2	no	—
671	C₂³×C₂₃	—	2	4	no	—
672	C₂³×C₂₃	—	4	1	no	—
673	C₂³×C₂₃	—	4	2	no	—
674	C₂³×C₂₃	—	4	2	no	—
675	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
676	C₂³×C₂₃	C₂⁵	1	4	yes	—
677	C₂³×C₂₃	C₂⁵	1	4	yes	—
678	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
679	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
680	Q₈×C₂₃	—	2	4	no	—
681	Q₈×C₂₃	—	2	4	no	—
682	Q₈×C₂₃	—	2	8	no	—
683	Q₈×C₂₃	—	4	2	no	—
684	Q₈×C₂₃	—	4	4	no	—
685	Q₈×C₂₃	—	4	4	no	—
686	Q₈×C₂₃	—	4	8	no	—
687	Q₈×C₂₃	—	4	4	no	—
688	Q₈×C₂₃	—	4	2	no	—
689	Q₈×C₂₃	—	4	2	no	—
690	Q₈×C₂₃	—	4	8	no	—
691	D₄×C₂₃	—	2	8	no	—
692	D₄×C₂₃	—	2	8	no	—
693	D₄×C₂₃	—	2	8	no	—
694	D₄×C₂₃	—	2	4	no	—
695	D₄×C₂₃	—	2	4	no	—
696	D₄×C₂₃	—	4	2	no	—
697	D₄×C₂₃	—	4	4	no	—
698	D₄×C₂₃	—	4	2	no	—
699	D₄×C₂₃	—	4	2	no	—
700	D₄×C₂₃	—	4	4	no	—
701	D₄×C₂₃	—	4	8	no	—
702	D₄×C₂₃	—	4	8	no	—
703	C₂×C₄×C₂₃	—	2	2	no	—
704	C₂×C₄×C₂₃	—	2	4	no	—
705	C₂×C₄×C₂₃	—	2	2	no	—
706	C₂×C₄×C₂₃	—	2	2	no	—
707	C₂×C₄×C₂₃	—	2	8	no	—
708	C₂×C₄×C₂₃	—	2	2	no	—
709	C₂×C₄×C₂₃	—	2	2	no	—
710	C₂×C₄×C₂₃	—	2	8	no	—
711	C₂×C₄×C₂₃	—	2	2	no	—
712	C₂×C₄×C₂₃	—	2	2	no	—
713	C₂×C₄×C₂₃	—	2	8	no	—
714	C₂×C₄×C₂₃	—	2	8	no	—
715	C₂×C₄×C₂₃	—	2	2	no	—
716	C₂×C₄×C₂₃	—	2	2	no	—
717	C₂×C₄×C₂₃	—	2	2	no	—
718	C₂×C₄×C₂₃	—	2	8	no	—
719	C₂×C₄×C₂₃	—	4	1	no	—
720	C₂×C₄×C₂₃	—	4	1	no	—
721	C₂×C₄×C₂₃	—	4	1	no	—
722	C₂×C₄×C₂₃	—	4	1	no	—
723	C₂×C₄×C₂₃	—	4	1	no	—
724	C₂×C₄×C₂₃	—	4	1	no	—
725	C₂×C₄×C₂₃	—	4	1	no	—
726	C₂×C₄×C₂₃	—	4	2	no	—
727	C₂×C₄×C₂₃	—	4	4	no	—
728	C₂×C₄×C₂₃	—	4	8	no	—
729	C₂×C₄×C₂₃	—	4	2	no	—
730	C₂×C₄×C₂₃	—	4	4	no	—
731	C₂×C₄×C₂₃	—	4	8	no	—
732	C₂×C₄×C₂₃	—	4	8	no	—
733	C₂×C₄×C₂₃	—	4	8	no	—
734	C₂×C₄×C₂₃	2₋¹⁺⁴	1	4	yes	—
735	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
736	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
737	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
738	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
739	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
740	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
741	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
742	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
743	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
744	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
745	C₂×C₄×C₂₃	C₂⁵	1	8	yes	—
746	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
747	C₂×C₄×C₂₃	C₂⁵	1	8	yes	—
748	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
749	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
750	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
751	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
752	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
753	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
754	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
755	#3565	C₂×C₂₃	1	4	yes	complemented
756	#3564	C₂×C₂₃	1	4	yes	complemented
757	#3563	C₂×C₂₃	1	2	yes	complemented
758	#3563	C₂×C₂₃	1	2	yes	complemented
759	#3561	C₂×C₂₃	1	2	yes	complemented
760	#3559	C₂×C₂₃	1	2	yes	complemented
761	#3555	C₂×C₂₃	1	2	yes	complemented
762	#3552	C₂×C₂₃	1	2	yes	complemented
763	#3547	C₂×C₂₃	1	2	yes	complemented
764	#3544	C₂×C₂₃	1	2	yes	complemented
765	#3538	C₂×C₂₃	1	2	yes	complemented
766	#3536	C₂×C₂₃	1	2	yes	complemented
767	#3535	C₂×C₂₃	1	4	yes	complemented
768	#3531	C₂×C₂₃	1	4	yes	complemented
769	#3482	C₂×C₂₃	1	4	yes	complemented
770	Q₈×#41	C₂×C₂₃	1	2	yes	complemented
771	#3475	C₂×C₂₃	1	4	yes	complemented
772	#3475	C₂×C₂₃	1	2	yes	complemented
773	#3461	C₂×C₂₃	1	4	yes	complemented
774	#3461	C₂×C₂₃	1	4	yes	complemented
775	#3458	C₂×C₂₃	1	2	yes	complemented
776	#3455	C₂×C₂₃	1	2	yes	complemented
777	#3444	C₂×C₂₃	1	1	yes	characteristic, complemented
778	C₂×#533	C₂×C₂₃	1	1	yes	characteristic, complemented
779	C₂×#529	C₂×C₂₃	1	1	yes	characteristic, complemented
780	C₂²×C₂₃	—	2	1	no	—
781	C₂²×C₂₃	—	2	1	no	—
782	C₂²×C₂₃	—	2	1	no	—
783	C₂²×C₂₃	—	2	1	no	—
784	C₂²×C₂₃	—	2	1	no	—
785	C₂²×C₂₃	—	2	4	no	—
786	C₂²×C₂₃	—	2	4	no	—
787	C₂²×C₂₃	—	2	4	no	—
788	C₂²×C₂₃	—	2	1	no	—
789	C₂²×C₂₃	—	2	4	no	—
790	C₂²×C₂₃	—	2	4	no	—
791	C₂²×C₂₃	—	2	4	no	—
792	C₂²×C₂₃	—	2	1	no	—
793	C₂²×C₂₃	—	4	4	no	—
794	C₂²×C₂₃	—	8	4	no	—
795	C₂²×C₂₃	C₂×2₋¹⁺⁴	1	2	yes	—
796	C₂²×C₂₃	#585	1	2	yes	—
797	C₂²×C₂₃	C₂⁶	1	1	yes	characteristic
798	C₄×C₂₃	—	2	1	no	—
799	C₄×C₂₃	—	2	1	no	—
800	C₄×C₂₃	—	2	4	no	—
801	C₄×C₂₃	—	2	4	no	—
802	C₄×C₂₃	—	2	1	no	—
803	C₄×C₂₃	—	2	1	no	—
804	C₄×C₂₃	—	2	1	no	—
805	C₄×C₂₃	—	2	1	no	—
806	C₄×C₂₃	—	2	8	no	—
807	C₄×C₂₃	—	2	4	no	—
808	C₄×C₂₃	—	2	1	no	—
809	C₄×C₂₃	—	2	1	no	—
810	C₄×C₂₃	—	2	1	no	—
811	C₄×C₂₃	—	2	4	no	—
812	C₄×C₂₃	—	2	4	no	—
813	C₄×C₂₃	—	2	8	no	—
814	C₄×C₂₃	—	2	4	no	—
815	C₄×C₂₃	C₂×2₋¹⁺⁴	1	2	yes	—
816	C₄×C₂₃	C₂×2₋¹⁺⁴	1	2	yes	—
817	C₄×C₂₃	#585	1	2	yes	—
818	#564	C₂²×C₂₃	1	4	yes	complemented
819	#563	C₂²×C₂₃	1	8	yes	complemented
820	#563	C₂²×C₂₃	1	8	yes	complemented
821	#563	C₂²×C₂₃	1	8	yes	complemented
822	#563	C₂²×C₂₃	1	8	yes	complemented
823	#563	C₂²×C₂₃	1	4	yes	complemented
824	#563	C₂²×C₂₃	1	4	yes	complemented
825	#562	C₂²×C₂₃	1	8	yes	—
826	#562	C₂²×C₂₃	1	8	yes	complemented
827	#562	C₂²×C₂₃	1	4	yes	complemented
828	Q₈²	C₂²×C₂₃	1	2	yes	complemented
829	#557	C₂²×C₂₃	1	2	yes	complemented
830	#557	C₂²×C₂₃	1	4	yes	complemented
831	#557	C₂²×C₂₃	1	4	yes	complemented
832	#556	C₂²×C₂₃	1	2	yes	complemented
833	#556	C₂²×C₂₃	1	4	yes	complemented
834	#556	C₂²×C₂₃	1	4	yes	complemented
835	#556	C₂²×C₂₃	1	8	yes	complemented
836	#555	C₂²×C₂₃	1	2	yes	complemented
837	#555	C₂²×C₂₃	1	4	yes	complemented
838	#554	C₂²×C₂₃	1	8	yes	—
839	#554	C₂²×C₂₃	1	4	yes	—
840	#554	C₂²×C₂₃	1	2	yes	complemented
841	#554	C₂²×C₂₃	1	4	yes	complemented
842	#554	C₂²×C₂₃	1	2	yes	complemented
843	#554	C₂²×C₂₃	1	4	yes	complemented
844	#553	C₂²×C₂₃	1	4	yes	complemented
845	#553	C₂²×C₂₃	1	4	yes	complemented
846	#553	C₂²×C₂₃	1	4	yes	complemented
847	#552	C₂²×C₂₃	1	4	yes	—
848	#552	C₂²×C₂₃	1	8	yes	—
849	#552	C₂²×C₂₃	1	4	yes	complemented
850	#552	C₂²×C₂₃	1	4	yes	complemented
851	#552	C₂²×C₂₃	1	4	yes	complemented
852	#552	C₂²×C₂₃	1	8	yes	complemented
853	#552	C₂²×C₂₃	1	4	yes	complemented
854	#552	C₂²×C₂₃	1	4	yes	complemented
855	#552	C₂²×C₂₃	1	8	yes	complemented
856	#551	C₂²×C₂₃	1	8	yes	—
857	#551	C₂²×C₂₃	1	8	yes	—
858	#551	C₂²×C₂₃	1	8	yes	—
859	D₄×Q₈	C₂²×C₂₃	1	4	yes	—
860	D₄×Q₈	C₂²×C₂₃	1	2	yes	complemented
861	D₄×Q₈	C₂²×C₂₃	1	4	yes	complemented
862	#548	C₂²×C₂₃	1	4	yes	—
863	#548	C₂²×C₂₃	1	4	yes	complemented
864	#547	C₂²×C₂₃	1	4	yes	—
865	#547	C₂²×C₂₃	1	4	yes	complemented
866	#547	C₂²×C₂₃	1	2	yes	complemented
867	#547	C₂²×C₂₃	1	8	yes	complemented
868	#546	C₂²×C₂₃	1	8	yes	—
869	#546	C₂²×C₂₃	1	4	yes	—
870	#544	C₂²×C₂₃	1	4	yes	—
871	#544	C₂²×C₂₃	1	4	yes	—
872	#544	C₂²×C₂₃	1	4	yes	complemented
873	#544	C₂²×C₂₃	1	4	yes	complemented
874	#544	C₂²×C₂₃	1	4	yes	complemented
875	#544	C₂²×C₂₃	1	4	yes	complemented
876	#544	C₂²×C₂₃	1	4	yes	complemented
877	#544	C₂²×C₂₃	1	4	yes	complemented
878	#543	C₂²×C₂₃	1	4	yes	—
879	#543	C₂²×C₂₃	1	4	yes	—
880	#542	C₂²×C₂₃	1	4	yes	—
881	#542	C₂²×C₂₃	1	4	yes	complemented
882	#542	C₂²×C₂₃	1	4	yes	complemented
883	#542	C₂²×C₂₃	1	8	yes	complemented
884	#542	C₂²×C₂₃	1	4	yes	complemented
885	#542	C₂²×C₂₃	1	8	yes	complemented
886	#542	C₂²×C₂₃	1	8	yes	complemented
887	#541	C₂²×C₂₃	1	4	yes	complemented
888	#541	C₂²×C₂₃	1	4	yes	complemented
889	#541	C₂²×C₂₃	1	4	yes	complemented
890	#541	C₂²×C₂₃	1	8	yes	complemented
891	#541	C₂²×C₂₃	1	8	yes	complemented
892	#541	C₂²×C₂₃	1	8	yes	complemented
893	#540	C₂²×C₂₃	1	4	yes	complemented
894	#539	C₂²×C₂₃	1	4	yes	—
895	#539	C₂²×C₂₃	1	4	yes	—
896	#539	C₂²×C₂₃	1	4	yes	—
897	#539	C₂²×C₂₃	1	8	yes	complemented
898	#539	C₂²×C₂₃	1	8	yes	complemented
899	#539	C₂²×C₂₃	1	4	yes	complemented
900	#539	C₂²×C₂₃	1	8	yes	complemented
901	#538	C₂²×C₂₃	1	4	yes	—
902	#538	C₂²×C₂₃	1	4	yes	—
903	#537	C₂²×C₂₃	1	4	yes	—
904	#537	C₂²×C₂₃	1	4	yes	—
905	#536	C₂²×C₂₃	1	8	yes	complemented
906	#536	C₂²×C₂₃	1	4	yes	complemented
907	#536	C₂²×C₂₃	1	4	yes	complemented
908	#533	C₂²×C₂₃	1	2	yes	—
909	#533	C₂²×C₂₃	1	2	yes	—
910	#533	C₂²×C₂₃	1	2	yes	—
911	#533	C₂²×C₂₃	1	2	yes	—
912	#533	C₂²×C₂₃	1	1	yes	characteristic
913	#533	C₂²×C₂₃	1	4	yes	—
914	#533	C₂²×C₂₃	1	2	yes	complemented
915	#533	C₂²×C₂₃	1	2	yes	complemented
916	#533	C₂²×C₂₃	1	2	yes	complemented
917	#533	C₂²×C₂₃	1	2	yes	complemented
918	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
919	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
920	#533	C₂²×C₂₃	1	8	yes	complemented
921	#533	C₂²×C₂₃	1	8	yes	complemented
922	#533	C₂²×C₂₃	1	4	yes	complemented
923	#533	C₂²×C₂₃	1	8	yes	complemented
924	#532	C₂²×C₂₃	1	1	yes	characteristic
925	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
926	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
927	C₂×C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
928	C₂×C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
929	#529	C₂²×C₂₃	1	2	yes	—
930	#529	C₂²×C₂₃	1	2	yes	—
931	#529	C₂²×C₂₃	1	2	yes	—
932	#529	C₂²×C₂₃	1	2	yes	—
933	#529	C₂²×C₂₃	1	2	yes	—
934	#529	C₂²×C₂₃	1	2	yes	—
935	#529	C₂²×C₂₃	1	2	yes	—
936	#529	C₂²×C₂₃	1	2	yes	—
937	#529	C₂²×C₂₃	1	2	yes	—
938	#529	C₂²×C₂₃	1	2	yes	—
939	#529	C₂²×C₂₃	1	2	yes	complemented
940	#529	C₂²×C₂₃	1	2	yes	complemented
941	#529	C₂²×C₂₃	1	2	yes	complemented
942	#529	C₂²×C₂₃	1	2	yes	complemented
943	#529	C₂²×C₂₃	1	8	yes	complemented
944	#529	C₂²×C₂₃	1	8	yes	complemented
945	#529	C₂²×C₂₃	1	8	yes	complemented
946	#529	C₂²×C₂₃	1	4	yes	complemented
947	#529	C₂²×C₂₃	1	8	yes	complemented
948	#529	C₂²×C₂₃	1	8	yes	complemented
949	#529	C₂²×C₂₃	1	8	yes	complemented
950	C₂×#126	C₂²×C₂₃	1	2	yes	—
951	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic
952	C₂×#125	C₂²×C₂₃	1	2	yes	complemented
953	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
954	#525	C₂²×C₂₃	1	2	yes	—
955	#525	C₂²×C₂₃	1	2	yes	—
956	#525	C₂²×C₂₃	1	2	yes	—
957	#525	C₂²×C₂₃	1	4	yes	—
958	C₂×#123	C₂²×C₂₃	1	2	yes	—
959	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
960	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	2	yes	—
961	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	2	yes	—
962	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
963	C₄×#41	C₂²×C₂₃	1	2	yes	—
964	C₄×#41	C₂²×C₂₃	1	4	yes	—
965	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
966	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
967	C₄×#41	C₂²×C₂₃	1	8	yes	complemented
968	C₄×#41	C₂²×C₂₃	1	4	yes	complemented
969	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
970	C₂×C₄×Q₈	C₂²×C₂₃	1	2	yes	complemented
971	C₂×C₄×Q₈	C₂²×C₂₃	1	2	yes	complemented
972	C₂×C₄×Q₈	C₂²×C₂₃	1	4	yes	complemented
973	C₂×C₄×D₄	C₂²×C₂₃	1	2	yes	—
974	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
975	C₂×#117	C₂²×C₂₃	1	2	yes	—
976	C₂×#117	C₂²×C₂₃	1	2	yes	—
977	C₂×#117	C₂²×C₂₃	1	4	yes	—
978	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic
979	C₂×C₂₃	—	2	2	no	—
980	C₂×C₂₃	—	2	2	no	—
981	C₂×C₂₃	—	4	4	no	—
982	C₂×C₂₃	—	4	1	no	—
983	C₂×C₂₃	—	4	4	no	—
984	C₂×C₂₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
985	C₂×C₂₃	C₂×#585	1	1	yes	characteristic
986	C₂×C₂₃	C₂×#585	1	1	yes	characteristic
987	C₂×#41	C₂³×C₂₃	1	2	yes	—
988	C₂×#41	C₂³×C₂₃	1	2	yes	—
989	C₂×#41	C₂³×C₂₃	1	2	yes	—
990	C₂×#41	C₂³×C₂₃	1	8	yes	—
991	C₂×#41	C₂³×C₂₃	1	4	yes	—
992	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
993	C₂²×Q₈	C₂³×C₂₃	1	2	yes	—
994	C₂²×Q₈	C₂³×C₂₃	1	2	yes	—
995	C₂²×Q₈	C₂³×C₂₃	1	4	yes	—
996	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
997	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
998	C₂³×C₄	C₂³×C₂₃	1	2	yes	—
999	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1000	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1001	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1002	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1003	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1004	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1005	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1006	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1007	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1008	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1009	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1010	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1011	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1012	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1013	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1014	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1015	C₄⋊Q₈	C₂³×C₂₃	1	8	yes	—
1016	C₄⋊Q₈	C₂³×C₂₃	1	8	yes	—
1017	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1018	C₄⋊Q₈	C₂³×C₂₃	1	8	yes	—
1019	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1020	C₄⋊Q₈	C₂³×C₂₃	1	8	yes	—
1021	C₄⋊Q₈	C₂³×C₂₃	1	8	yes	—
1022	C₄⋊Q₈	C₂³×C₂₃	1	8	yes	—
1023	#127	C₂³×C₂₃	1	1	yes	characteristic
1024	#126	C₂³×C₂₃	1	4	yes	—
1025	#126	C₂³×C₂₃	1	4	yes	—
1026	#126	C₂³×C₂₃	1	4	yes	—
1027	#126	C₂³×C₂₃	1	4	yes	—
1028	#126	C₂³×C₂₃	1	4	yes	—
1029	#126	C₂³×C₂₃	1	4	yes	—
1030	#126	C₂³×C₂₃	1	8	yes	—
1031	#126	C₂³×C₂₃	1	8	yes	—
1032	#126	C₂³×C₂₃	1	8	yes	—
1033	#126	C₂³×C₂₃	1	8	yes	—
1034	#126	C₂³×C₂₃	1	8	yes	—
1035	#126	C₂³×C₂₃	1	8	yes	—
1036	#126	C₂³×C₂₃	1	8	yes	—
1037	#126	C₂³×C₂₃	1	8	yes	—
1038	#126	C₂³×C₂₃	1	8	yes	—
1039	#126	C₂³×C₂₃	1	8	yes	—
1040	#126	C₂³×C₂₃	1	8	yes	—
1041	#126	C₂³×C₂₃	1	8	yes	—
1042	#126	C₂³×C₂₃	1	8	yes	—
1043	#125	C₂³×C₂₃	1	2	yes	—
1044	#125	C₂³×C₂₃	1	2	yes	—
1045	#125	C₂³×C₂₃	1	2	yes	—
1046	#125	C₂³×C₂₃	1	2	yes	—
1047	#125	C₂³×C₂₃	1	4	yes	—
1048	#125	C₂³×C₂₃	1	4	yes	—
1049	#125	C₂³×C₂₃	1	4	yes	—
1050	#125	C₂³×C₂₃	1	4	yes	—
1051	#125	C₂³×C₂₃	1	2	yes	—
1052	#125	C₂³×C₂₃	1	2	yes	—
1053	#125	C₂³×C₂₃	1	2	yes	—
1054	#125	C₂³×C₂₃	1	8	yes	—
1055	#125	C₂³×C₂₃	1	8	yes	—
1056	#125	C₂³×C₂₃	1	8	yes	—
1057	#125	C₂³×C₂₃	1	8	yes	—
1058	#125	C₂³×C₂₃	1	4	yes	—
1059	#125	C₂³×C₂₃	1	8	yes	—
1060	#125	C₂³×C₂₃	1	8	yes	—
1061	#125	C₂³×C₂₃	1	4	yes	—
1062	#125	C₂³×C₂₃	1	4	yes	—
1063	#125	C₂³×C₂₃	1	8	yes	—
1064	#125	C₂³×C₂₃	1	8	yes	—
1065	#125	C₂³×C₂₃	1	8	yes	—
1066	#125	C₂³×C₂₃	1	8	yes	—
1067	#125	C₂³×C₂₃	1	8	yes	—
1068	#125	C₂³×C₂₃	1	8	yes	—
1069	#125	C₂³×C₂₃	1	8	yes	—
1070	#124	C₂³×C₂₃	1	2	yes	—
1071	#124	C₂³×C₂₃	1	2	yes	—
1072	#124	C₂³×C₂₃	1	2	yes	—
1073	#124	C₂³×C₂₃	1	2	yes	—
1074	#124	C₂³×C₂₃	1	2	yes	—
1075	#124	C₂³×C₂₃	1	2	yes	—
1076	#124	C₂³×C₂₃	1	2	yes	—
1077	#124	C₂³×C₂₃	1	8	yes	—
1078	#124	C₂³×C₂₃	1	4	yes	—
1079	#124	C₂³×C₂₃	1	8	yes	—
1080	#124	C₂³×C₂₃	1	8	yes	—
1081	#124	C₂³×C₂₃	1	8	yes	—
1082	#124	C₂³×C₂₃	1	8	yes	—
1083	#124	C₂³×C₂₃	1	8	yes	—
1084	#123	C₂³×C₂₃	1	4	yes	—
1085	#123	C₂³×C₂₃	1	4	yes	—
1086	#123	C₂³×C₂₃	1	4	yes	—
1087	#123	C₂³×C₂₃	1	4	yes	—
1088	#123	C₂³×C₂₃	1	4	yes	—
1089	#123	C₂³×C₂₃	1	4	yes	—
1090	#123	C₂³×C₂₃	1	4	yes	—
1091	#123	C₂³×C₂₃	1	8	yes	—
1092	#123	C₂³×C₂₃	1	8	yes	—
1093	#123	C₂³×C₂₃	1	8	yes	—
1094	#123	C₂³×C₂₃	1	8	yes	—
1095	#123	C₂³×C₂₃	1	8	yes	—
1096	#123	C₂³×C₂₃	1	8	yes	—
1097	#123	C₂³×C₂₃	1	8	yes	—
1098	#123	C₂³×C₂₃	1	8	yes	—
1099	#123	C₂³×C₂₃	1	8	yes	—
1100	#123	C₂³×C₂₃	1	8	yes	—
1101	#123	C₂³×C₂₃	1	8	yes	—
1102	#123	C₂³×C₂₃	1	8	yes	—
1103	#123	C₂³×C₂₃	1	8	yes	—
1104	#123	C₂³×C₂₃	1	8	yes	—
1105	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1106	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1107	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1108	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1109	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1110	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1111	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1112	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1113	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1114	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1115	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1116	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1117	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1118	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1119	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1120	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1121	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1122	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1123	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1124	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1125	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1126	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1127	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1128	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1129	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1130	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1131	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1132	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1133	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1134	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1135	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1136	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1137	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1138	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1139	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1140	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1141	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1142	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1143	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1144	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1145	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1146	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1147	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1148	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1149	#121	C₂³×C₂₃	1	2	yes	—
1150	#121	C₂³×C₂₃	1	2	yes	—
1151	#121	C₂³×C₂₃	1	2	yes	—
1152	#121	C₂³×C₂₃	1	2	yes	—
1153	#121	C₂³×C₂₃	1	2	yes	—
1154	#121	C₂³×C₂₃	1	2	yes	—
1155	#121	C₂³×C₂₃	1	2	yes	—
1156	#121	C₂³×C₂₃	1	2	yes	—
1157	#121	C₂³×C₂₃	1	2	yes	—
1158	#121	C₂³×C₂₃	1	2	yes	—
1159	#121	C₂³×C₂₃	1	4	yes	—
1160	#121	C₂³×C₂₃	1	4	yes	—
1161	#121	C₂³×C₂₃	1	8	yes	—
1162	#121	C₂³×C₂₃	1	8	yes	—
1163	#121	C₂³×C₂₃	1	8	yes	—
1164	#121	C₂³×C₂₃	1	4	yes	—
1165	#121	C₂³×C₂₃	1	8	yes	—
1166	#121	C₂³×C₂₃	1	8	yes	—
1167	#121	C₂³×C₂₃	1	8	yes	—
1168	#120	C₂³×C₂₃	1	4	yes	—
1169	#120	C₂³×C₂₃	1	8	yes	—
1170	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1171	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1172	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1173	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1174	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1175	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1176	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1177	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1178	C₄×Q₈	C₂³×C₂₃	1	8	yes	—
1179	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1180	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1181	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1182	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1183	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1184	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1185	C₄×Q₈	C₂³×C₂₃	1	8	yes	—
1186	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1187	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1188	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1189	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1190	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1191	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1192	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1193	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1194	C₄×Q₈	C₂³×C₂₃	1	8	yes	—
1195	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1196	C₄×Q₈	C₂³×C₂₃	1	8	yes	—
1197	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1198	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1199	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1200	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1201	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1202	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1203	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1204	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1205	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1206	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1207	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1208	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1209	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1210	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1211	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1212	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1213	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1214	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1215	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1216	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1217	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1218	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1219	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1220	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1221	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1222	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1223	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1224	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1225	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1226	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1227	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1228	#117	C₂³×C₂₃	1	4	yes	—
1229	#117	C₂³×C₂₃	1	2	yes	—
1230	#117	C₂³×C₂₃	1	4	yes	—
1231	#117	C₂³×C₂₃	1	4	yes	—
1232	#117	C₂³×C₂₃	1	4	yes	—
1233	#117	C₂³×C₂₃	1	4	yes	—
1234	#117	C₂³×C₂₃	1	4	yes	—
1235	#117	C₂³×C₂₃	1	8	yes	—
1236	#117	C₂³×C₂₃	1	4	yes	—
1237	#117	C₂³×C₂₃	1	4	yes	—
1238	#117	C₂³×C₂₃	1	8	yes	—
1239	#117	C₂³×C₂₃	1	4	yes	—
1240	#117	C₂³×C₂₃	1	4	yes	—
1241	#117	C₂³×C₂₃	1	4	yes	—
1242	#117	C₂³×C₂₃	1	8	yes	—
1243	#117	C₂³×C₂₃	1	2	yes	—
1244	#117	C₂³×C₂₃	1	2	yes	—
1245	#117	C₂³×C₂₃	1	4	yes	—
1246	#117	C₂³×C₂₃	1	4	yes	—
1247	#117	C₂³×C₂₃	1	8	yes	—
1248	#117	C₂³×C₂₃	1	4	yes	—
1249	#117	C₂³×C₂₃	1	8	yes	—
1250	#117	C₂³×C₂₃	1	8	yes	—
1251	#117	C₂³×C₂₃	1	8	yes	—
1252	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1253	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1254	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1255	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1256	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1257	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1258	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1259	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1260	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1261	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1262	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1263	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1264	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1265	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1266	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1267	C₂×C₄⋊C₄	C₂³×C₂₃	1	8	yes	—
1268	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1269	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1270	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1271	C₂×C₂²⋊C₄	C₂³×C₂₃	1	8	yes	—
1272	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1273	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1274	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1275	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1276	C₂×C₄²	C₂³×C₂₃	1	2	yes	—
1277	C₂×C₄²	C₂³×C₂₃	1	4	yes	—
1278	C₂×C₄²	C₂³×C₂₃	1	8	yes	—
1279	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1280	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1281	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1282	C₂×C₄²	C₂³×C₂₃	1	4	yes	—
1283	C₂×C₄²	C₂³×C₂₃	1	8	yes	—
1284	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1285	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1286	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1287	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1288	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1289	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1290	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1291	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1292	C₂₃	#62752	1	1	yes	characteristic, direct product factor, Sylow
1293	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1294	C₂⁴	C₂⁴×C₂₃	1	2	yes	—
1295	#41	—	2	8	no	—
1296	#41	—	4	4	no	—
1297	#41	—	4	4	no	—
1298	#41	—	4	16	no	—
1299	#41	—	4	8	no	—
1300	C₂×Q₈	—	4	4	no	—
1301	C₂×Q₈	—	4	2	no	—
1302	C₂×Q₈	—	4	4	no	—
1303	C₂×Q₈	—	4	8	no	—
1304	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1305	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1306	C₂×Q₈	C₂⁴×C₂₃	1	4	yes	—
1307	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1308	C₂×Q₈	C₂⁴×C₂₃	1	4	yes	—
1309	C₂×Q₈	C₂⁴×C₂₃	1	4	yes	—
1310	C₂×Q₈	C₂⁴×C₂₃	1	4	yes	—
1311	C₂×Q₈	C₂⁴×C₂₃	1	8	yes	—
1312	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1313	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1314	C₂×Q₈	C₂⁴×C₂₃	1	8	yes	—
1315	C₂×D₄	—	4	2	no	—
1316	C₂×D₄	—	4	4	no	—
1317	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1318	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1319	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1320	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1321	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1322	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1323	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1324	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1325	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1326	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1327	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1328	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1329	C₂²×C₄	—	2	4	no	—
1330	C₂²×C₄	—	2	8	no	—
1331	C₂²×C₄	—	4	2	no	—
1332	C₂²×C₄	—	4	2	no	—
1333	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1334	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1335	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1337	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1338	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1339	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1340	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1341	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1342	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1343	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1345	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1346	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1347	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1348	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1349	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1350	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1351	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1352	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1353	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1357	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1358	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1359	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1360	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1361	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1362	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1363	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1364	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1365	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1366	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1367	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1368	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1369	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1370	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1371	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1372	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1373	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1374	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1375	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1376	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1377	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1378	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1379	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1380	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1381	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1382	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1383	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1384	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1385	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1386	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1387	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1388	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1389	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1390	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1391	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1392	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1393	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1394	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1395	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1396	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1397	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1398	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1399	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1400	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1401	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1402	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1403	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1404	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1405	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1406	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1407	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1408	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1409	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1410	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1411	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1412	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1413	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1414	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1415	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1416	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1417	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1418	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1419	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1420	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1421	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1422	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1423	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1424	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1425	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1426	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1427	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1428	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1429	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1430	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1431	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1432	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1433	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1434	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1435	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1436	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1437	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1438	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1439	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1440	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1441	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1442	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1443	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1444	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1445	C₄²	C₂⁴×C₂₃	1	4	yes	—
1446	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1447	C₄²	C₂⁴×C₂₃	1	8	yes	—
1448	C₄²	C₂⁴×C₂₃	1	4	yes	—
1449	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1450	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1451	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1452	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1453	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1454	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1455	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1456	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1457	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1458	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1459	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1460	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1461	C₄²	C₂⁴×C₂₃	1	8	yes	—
1462	C₄²	C₂⁴×C₂₃	1	4	yes	—
1463	C₄²	C₂⁴×C₂₃	1	8	yes	—
1464	C₄²	C₂⁴×C₂₃	1	4	yes	—
1465	C₄²	C₂⁴×C₂₃	1	4	yes	—
1466	C₄²	C₂⁴×C₂₃	1	8	yes	—
1467	C₄²	C₂⁴×C₂₃	1	8	yes	—
1468	C₄²	C₂⁴×C₂₃	1	8	yes	—
1469	C₂³	—	2	2	no	—
1470	C₂³	—	2	2	no	—
1471	C₂³	—	2	4	no	—
1472	C₂³	—	4	1	no	—
1473	C₂³	—	4	2	no	—
1474	C₂³	—	4	2	no	—
1475	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1476	C₂³	C₂⁵×C₂₃	1	4	yes	—
1477	C₂³	C₂⁵×C₂₃	1	4	yes	—
1478	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1479	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1480	Q₈	—	2	4	no	—
1481	Q₈	—	2	4	no	—
1482	Q₈	—	2	8	no	—
1483	Q₈	—	4	2	no	—
1484	Q₈	—	4	4	no	—
1485	Q₈	—	4	4	no	—
1486	Q₈	—	4	8	no	—
1487	Q₈	—	4	4	no	—
1488	Q₈	—	4	2	no	—
1489	Q₈	—	4	2	no	—
1490	Q₈	—	4	8	no	—
1491	D₄	—	2	8	no	—
1492	D₄	—	2	8	no	—
1493	D₄	—	2	8	no	—
1494	D₄	—	2	4	no	—
1495	D₄	—	2	4	no	—
1496	D₄	—	4	2	no	—
1497	D₄	—	4	4	no	—
1498	D₄	—	4	2	no	—
1499	D₄	—	4	2	no	—
1500	D₄	—	4	4	no	—
1501	D₄	—	4	8	no	—
1502	D₄	—	4	8	no	—
1503	C₂×C₄	—	2	2	no	—
1504	C₂×C₄	—	2	4	no	—
1505	C₂×C₄	—	2	2	no	—
1506	C₂×C₄	—	2	2	no	—
1507	C₂×C₄	—	2	8	no	—
1508	C₂×C₄	—	2	2	no	—
1509	C₂×C₄	—	2	2	no	—
1510	C₂×C₄	—	2	8	no	—
1511	C₂×C₄	—	2	2	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	8	no	—
1514	C₂×C₄	—	2	8	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	2	no	—
1518	C₂×C₄	—	2	8	no	—
1519	C₂×C₄	—	4	1	no	—
1520	C₂×C₄	—	4	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	1	no	—
1525	C₂×C₄	—	4	1	no	—
1526	C₂×C₄	—	4	2	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	8	no	—
1529	C₂×C₄	—	4	2	no	—
1530	C₂×C₄	—	4	4	no	—
1531	C₂×C₄	—	4	8	no	—
1532	C₂×C₄	—	4	8	no	—
1533	C₂×C₄	—	4	8	no	—
1534	C₂×C₄	C₂₃×2₋¹⁺⁴	1	4	yes	—
1535	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1536	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1537	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1538	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1539	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1540	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1541	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1542	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1543	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1544	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1545	C₂×C₄	C₂⁵×C₂₃	1	8	yes	—
1546	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1547	C₂×C₄	C₂⁵×C₂₃	1	8	yes	—
1548	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1549	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1550	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1551	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1552	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1553	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1554	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	2	1	no	—
1558	C₂²	—	2	1	no	—
1559	C₂²	—	2	1	no	—
1560	C₂²	—	2	4	no	—
1561	C₂²	—	2	4	no	—
1562	C₂²	—	2	4	no	—
1563	C₂²	—	2	1	no	—
1564	C₂²	—	2	4	no	—
1565	C₂²	—	2	4	no	—
1566	C₂²	—	2	4	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	4	4	no	—
1569	C₂²	—	8	4	no	—
1570	C₂²	C₂×C₂₃×2₋¹⁺⁴	1	2	yes	—
1571	C₂²	C₂₃×#585	1	2	yes	—
1572	C₂²	C₂⁶×C₂₃	1	1	yes	characteristic
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	2	4	no	—
1576	C₄	—	2	4	no	—
1577	C₄	—	2	1	no	—
1578	C₄	—	2	1	no	—
1579	C₄	—	2	1	no	—
1580	C₄	—	2	1	no	—
1581	C₄	—	2	8	no	—
1582	C₄	—	2	4	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	4	no	—
1587	C₄	—	2	4	no	—
1588	C₄	—	2	8	no	—
1589	C₄	—	2	4	no	—
1590	C₄	C₂×C₂₃×2₋¹⁺⁴	1	2	yes	—
1591	C₄	C₂×C₂₃×2₋¹⁺⁴	1	2	yes	—
1592	C₄	C₂₃×#585	1	2	yes	—
1593	C₂	—	2	2	no	—
1594	C₂	—	2	2	no	—
1595	C₂	—	4	1	no	—
1596	C₂	—	4	4	no	—
1597	C₂	—	4	4	no	—
1598	C₂	C₂²×C₂₃×2₋¹⁺⁴	1	1	yes	characteristic
1599	C₂	C₂×C₂₃×#585	1	1	yes	characteristic
1600	C₂	C₂×C₂₃×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₂₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₂₃
socle	C₂²×C₂₃	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#3565	C₂	semidirect
2. C₂₃×#3564	C₂	semidirect
3. C₂₃×#3563	C₂	semidirect
4. C₂₃×#3563	C₂	semidirect
5. C₂₃×#3561	C₂	semidirect
6. C₂₃×#3559	C₂	semidirect
7. C₂₃×#3555	C₂	semidirect
8. C₂₃×#3552	C₂	semidirect
9. C₂₃×#3547	C₂	semidirect
10. C₂₃×#3544	C₂	semidirect
11. C₂₃×#3538	C₂	semidirect
12. C₂₃×#3536	C₂	semidirect
13. C₂₃×#3535	C₂	semidirect
14. C₂₃×#3531	C₂	semidirect
15. C₂₃×#3482	C₂	semidirect
16. Q₈×#41×C₂₃	C₂	semidirect
17. C₂₃×#3475	C₂	semidirect
18. C₂₃×#3475	C₂	semidirect
19. C₂₃×#3461	C₂	semidirect
20. C₂₃×#3461	C₂	semidirect
21. C₂₃×#3458	C₂	semidirect
22. C₂₃×#3455	C₂	semidirect
23. C₂₃×#3444	C₂	semidirect
24. C₂×C₂₃×#533	C₂	semidirect
25. C₂×C₂₃×#529	C₂	semidirect
26. C₂₃×#564	C₂²	semidirect
27. C₂₃×#563	C₂²	semidirect
28. C₂₃×#563	C₂²	semidirect
29. C₂₃×#563	C₂²	semidirect
30. C₂₃×#563	C₂²	semidirect
31. C₂₃×#563	C₂²	semidirect
32. C₂₃×#563	C₂²	semidirect
34. C₂₃×#562	C₂²	semidirect
35. C₂₃×#562	C₂²	semidirect
36. Q₈²×C₂₃	C₂²	semidirect
37. C₂₃×#557	C₂²	semidirect
38. C₂₃×#557	C₂²	semidirect
39. C₂₃×#557	C₂²	semidirect
40. C₂₃×#556	C₂²	semidirect
41. C₂₃×#556	C₂²	semidirect
42. C₂₃×#556	C₂²	semidirect
43. C₂₃×#556	C₂²	semidirect
44. C₂₃×#555	C₂²	semidirect
45. C₂₃×#555	C₂²	semidirect
48. C₂₃×#554	C₂²	semidirect
49. C₂₃×#554	C₂²	semidirect
50. C₂₃×#554	C₂²	semidirect
51. C₂₃×#554	C₂²	semidirect
52. C₂₃×#553	C₂²	semidirect
53. C₂₃×#553	C₂²	semidirect
54. C₂₃×#553	C₂²	semidirect
57. C₂₃×#552	C₂²	semidirect
58. C₂₃×#552	C₂²	semidirect
59. C₂₃×#552	C₂²	semidirect
60. C₂₃×#552	C₂²	semidirect
61. C₂₃×#552	C₂²	semidirect
62. C₂₃×#552	C₂²	semidirect
63. C₂₃×#552	C₂²	semidirect
68. D₄×Q₈×C₂₃	C₂²	semidirect
69. D₄×Q₈×C₂₃	C₂²	semidirect
71. C₂₃×#548	C₂²	semidirect
73. C₂₃×#547	C₂²	semidirect
74. C₂₃×#547	C₂²	semidirect
75. C₂₃×#547	C₂²	semidirect
80. C₂₃×#544	C₂²	semidirect
81. C₂₃×#544	C₂²	semidirect
82. C₂₃×#544	C₂²	semidirect
83. C₂₃×#544	C₂²	semidirect
84. C₂₃×#544	C₂²	semidirect
85. C₂₃×#544	C₂²	semidirect
89. C₂₃×#542	C₂²	semidirect
90. C₂₃×#542	C₂²	semidirect
91. C₂₃×#542	C₂²	semidirect
92. C₂₃×#542	C₂²	semidirect
93. C₂₃×#542	C₂²	semidirect
94. C₂₃×#542	C₂²	semidirect
95. C₂₃×#541	C₂²	semidirect
96. C₂₃×#541	C₂²	semidirect
97. C₂₃×#541	C₂²	semidirect
98. C₂₃×#541	C₂²	semidirect
99. C₂₃×#541	C₂²	semidirect
100. C₂₃×#541	C₂²	semidirect
101. C₂₃×#540	C₂²	semidirect
105. C₂₃×#539	C₂²	semidirect
106. C₂₃×#539	C₂²	semidirect
107. C₂₃×#539	C₂²	semidirect
108. C₂₃×#539	C₂²	semidirect
113. C₂₃×#536	C₂²	semidirect
114. C₂₃×#536	C₂²	semidirect
115. C₂₃×#536	C₂²	semidirect
122. C₂₃×#533	C₂²	semidirect
123. C₂₃×#533	C₂²	semidirect
124. C₂₃×#533	C₂²	semidirect
125. C₂₃×#533	C₂²	semidirect
126. C₂₃×#533	C₂²	semidirect
127. C₂₃×#533	C₂²	semidirect
128. C₂₃×#533	C₂²	semidirect
129. C₂₃×#533	C₂²	semidirect
130. C₂₃×#533	C₂²	semidirect
131. C₂₃×#533	C₂²	semidirect
133. C₂₃×#532	C₂²	semidirect
134. C₂₃×#532	C₂²	semidirect
135. C₂×C₂₃×C₄⋊Q₈	C₂²	semidirect
136. C₂×C₂₃×C₄⋊Q₈	C₂²	semidirect
147. C₂₃×#529	C₂²	semidirect
148. C₂₃×#529	C₂²	semidirect
149. C₂₃×#529	C₂²	semidirect
150. C₂₃×#529	C₂²	semidirect
151. C₂₃×#529	C₂²	semidirect
152. C₂₃×#529	C₂²	semidirect
153. C₂₃×#529	C₂²	semidirect
154. C₂₃×#529	C₂²	semidirect
155. C₂₃×#529	C₂²	semidirect
156. C₂₃×#529	C₂²	semidirect
157. C₂₃×#529	C₂²	semidirect
160. C₂×C₂₃×#125	C₂²	semidirect
173. C₄×#41×C₂₃	C₂²	semidirect
174. C₄×#41×C₂₃	C₂²	semidirect
175. C₄×#41×C₂₃	C₂²	semidirect
176. C₄×#41×C₂₃	C₂²	semidirect
178. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
179. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
180. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
668. #62752	C₂₃	direct (N × H)
755. #3565	C₂×C₂₃	semidirect
756. #3564	C₂×C₂₃	semidirect
757. #3563	C₂×C₂₃	semidirect
758. #3563	C₂×C₂₃	semidirect
759. #3561	C₂×C₂₃	semidirect
760. #3559	C₂×C₂₃	semidirect
761. #3555	C₂×C₂₃	semidirect
762. #3552	C₂×C₂₃	semidirect
763. #3547	C₂×C₂₃	semidirect
764. #3544	C₂×C₂₃	semidirect
765. #3538	C₂×C₂₃	semidirect
766. #3536	C₂×C₂₃	semidirect
767. #3535	C₂×C₂₃	semidirect
768. #3531	C₂×C₂₃	semidirect
769. #3482	C₂×C₂₃	semidirect
770. Q₈×#41	C₂×C₂₃	semidirect
771. #3475	C₂×C₂₃	semidirect
772. #3475	C₂×C₂₃	semidirect
773. #3461	C₂×C₂₃	semidirect
774. #3461	C₂×C₂₃	semidirect
775. #3458	C₂×C₂₃	semidirect
776. #3455	C₂×C₂₃	semidirect
777. #3444	C₂×C₂₃	semidirect
778. C₂×#533	C₂×C₂₃	semidirect
779. C₂×#529	C₂×C₂₃	semidirect
818. #564	C₂²×C₂₃	semidirect
819. #563	C₂²×C₂₃	semidirect
820. #563	C₂²×C₂₃	semidirect
821. #563	C₂²×C₂₃	semidirect
822. #563	C₂²×C₂₃	semidirect
823. #563	C₂²×C₂₃	semidirect
824. #563	C₂²×C₂₃	semidirect
826. #562	C₂²×C₂₃	semidirect
827. #562	C₂²×C₂₃	semidirect
828. Q₈²	C₂²×C₂₃	semidirect
829. #557	C₂²×C₂₃	semidirect
830. #557	C₂²×C₂₃	semidirect
831. #557	C₂²×C₂₃	semidirect
832. #556	C₂²×C₂₃	semidirect
833. #556	C₂²×C₂₃	semidirect
834. #556	C₂²×C₂₃	semidirect
835. #556	C₂²×C₂₃	semidirect
836. #555	C₂²×C₂₃	semidirect
837. #555	C₂²×C₂₃	semidirect
840. #554	C₂²×C₂₃	semidirect
841. #554	C₂²×C₂₃	semidirect
842. #554	C₂²×C₂₃	semidirect
843. #554	C₂²×C₂₃	semidirect
844. #553	C₂²×C₂₃	semidirect
845. #553	C₂²×C₂₃	semidirect
846. #553	C₂²×C₂₃	semidirect
849. #552	C₂²×C₂₃	semidirect
850. #552	C₂²×C₂₃	semidirect
851. #552	C₂²×C₂₃	semidirect
852. #552	C₂²×C₂₃	semidirect
853. #552	C₂²×C₂₃	semidirect
854. #552	C₂²×C₂₃	semidirect
855. #552	C₂²×C₂₃	semidirect
860. D₄×Q₈	C₂²×C₂₃	semidirect
861. D₄×Q₈	C₂²×C₂₃	semidirect
863. #548	C₂²×C₂₃	semidirect
865. #547	C₂²×C₂₃	semidirect
866. #547	C₂²×C₂₃	semidirect
867. #547	C₂²×C₂₃	semidirect
872. #544	C₂²×C₂₃	semidirect
873. #544	C₂²×C₂₃	semidirect
874. #544	C₂²×C₂₃	semidirect
875. #544	C₂²×C₂₃	semidirect
876. #544	C₂²×C₂₃	semidirect
877. #544	C₂²×C₂₃	semidirect
881. #542	C₂²×C₂₃	semidirect
882. #542	C₂²×C₂₃	semidirect
883. #542	C₂²×C₂₃	semidirect
884. #542	C₂²×C₂₃	semidirect
885. #542	C₂²×C₂₃	semidirect
886. #542	C₂²×C₂₃	semidirect
887. #541	C₂²×C₂₃	semidirect
888. #541	C₂²×C₂₃	semidirect
889. #541	C₂²×C₂₃	semidirect
890. #541	C₂²×C₂₃	semidirect
891. #541	C₂²×C₂₃	semidirect
892. #541	C₂²×C₂₃	semidirect
893. #540	C₂²×C₂₃	semidirect
897. #539	C₂²×C₂₃	semidirect
898. #539	C₂²×C₂₃	semidirect
899. #539	C₂²×C₂₃	semidirect
900. #539	C₂²×C₂₃	semidirect
905. #536	C₂²×C₂₃	semidirect
906. #536	C₂²×C₂₃	semidirect
907. #536	C₂²×C₂₃	semidirect
914. #533	C₂²×C₂₃	semidirect
915. #533	C₂²×C₂₃	semidirect
916. #533	C₂²×C₂₃	semidirect
917. #533	C₂²×C₂₃	semidirect
918. #533	C₂²×C₂₃	semidirect
919. #533	C₂²×C₂₃	semidirect
920. #533	C₂²×C₂₃	semidirect
921. #533	C₂²×C₂₃	semidirect
922. #533	C₂²×C₂₃	semidirect
923. #533	C₂²×C₂₃	semidirect
925. #532	C₂²×C₂₃	semidirect
926. #532	C₂²×C₂₃	semidirect
927. C₂×C₄⋊Q₈	C₂²×C₂₃	semidirect
928. C₂×C₄⋊Q₈	C₂²×C₂₃	semidirect
939. #529	C₂²×C₂₃	semidirect
940. #529	C₂²×C₂₃	semidirect
941. #529	C₂²×C₂₃	semidirect
942. #529	C₂²×C₂₃	semidirect
943. #529	C₂²×C₂₃	semidirect
944. #529	C₂²×C₂₃	semidirect
945. #529	C₂²×C₂₃	semidirect
946. #529	C₂²×C₂₃	semidirect
947. #529	C₂²×C₂₃	semidirect
948. #529	C₂²×C₂₃	semidirect
949. #529	C₂²×C₂₃	semidirect
952. C₂×#125	C₂²×C₂₃	semidirect
965. C₄×#41	C₂²×C₂₃	semidirect
966. C₄×#41	C₂²×C₂₃	semidirect
967. C₄×#41	C₂²×C₂₃	semidirect
968. C₄×#41	C₂²×C₂₃	semidirect
970. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
971. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
972. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
1292. C₂₃	#62752	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×#3565	2
C₂₃×#3564	2
C₂₃×#3563	2
C₂₃×#3561	2
C₂₃×#3559	2
C₂₃×#3555	2
C₂₃×#3552	2
C₂₃×#3547	2
C₂₃×#3544	2
C₂₃×#3538	2
C₂₃×#3536	2
C₂₃×#3535	2
C₂₃×#3531	2
C₂₃×#3482	2
Q₈×#41×C₂₃	2
C₂₃×#3475	2
C₂₃×#3461	2
C₂₃×#3458	2
C₂₃×#3455	2
C₂₃×#3444	2
C₂×C₂₃×#533	2
C₂×C₂₃×#529	2
#62752	23

Subgroups — C23×#62752 #19210378

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#62752 #19210378