Subgroups — C₂₃×#62830 #19210456

Order 5888.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3562	C₂	1	4	yes	maximal, complemented
2	C₂₃×#3560	C₂	1	4	yes	maximal, complemented
3	C₂₃×#3552	C₂	1	2	yes	maximal, complemented
4	C₂₃×#3551	C₂	1	4	yes	maximal, complemented
5	C₂₃×#3547	C₂	1	2	yes	maximal, complemented
6	C₂₃×#3546	C₂	1	2	yes	maximal, complemented
7	C₂₃×#3543	C₂	1	2	yes	maximal, complemented
8	C₂₃×#3534	C₂	1	4	yes	maximal, complemented
9	C₂₃×#3520	C₂	1	2	yes	maximal, complemented
10	C₂₃×#3519	C₂	1	2	yes	maximal, complemented
11	C₂₃×#3519	C₂	1	4	yes	maximal, complemented
12	C₂₃×#3517	C₂	1	2	yes	maximal, complemented
13	C₂₃×#3514	C₂	1	4	yes	maximal, complemented
14	C₂₃×#3514	C₂	1	2	yes	maximal, complemented
15	C₂₃×#3512	C₂	1	2	yes	maximal, complemented
16	C₂₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#3505	C₂	1	4	yes	maximal, complemented
19	C₂₃×#3500	C₂	1	2	yes	maximal, complemented
20	C₂₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3494	C₂	1	4	yes	maximal, complemented
23	C₂₃×#3489	C₂	1	2	yes	maximal, complemented
24	C₂₃×#3488	C₂	1	2	yes	maximal, complemented
25	C₂₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×C₂₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₂₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₂₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
29	C₂×C₂₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
30	C₂²×#41×C₂₃	C₂²	1	2	yes	complemented
31	C₂₃×#563	C₂²	1	8	yes	complemented
32	C₂₃×#562	C₂²	1	8	yes	complemented
33	C₂₃×#560	C₂²	1	8	yes	complemented
34	C₂₃×#560	C₂²	1	8	yes	complemented
35	C₂₃×#559	C₂²	1	4	yes	complemented
36	C₂₃×#559	C₂²	1	2	yes	complemented
37	C₂₃×#557	C₂²	1	2	yes	complemented
38	C₂₃×#556	C₂²	1	2	yes	complemented
39	C₂₃×#556	C₂²	1	4	yes	complemented
40	C₂₃×#556	C₂²	1	2	yes	complemented
41	C₂₃×#555	C₂²	1	8	yes	complemented
42	C₂₃×#555	C₂²	1	2	yes	complemented
43	C₂₃×#555	C₂²	1	4	yes	complemented
44	C₂₃×#554	C₂²	1	2	yes	complemented
45	C₂₃×#554	C₂²	1	4	yes	complemented
46	C₂₃×#553	C₂²	1	8	yes	complemented
47	C₂₃×#553	C₂²	1	8	yes	complemented
48	C₂₃×#553	C₂²	1	4	yes	complemented
49	C₂₃×#553	C₂²	1	4	yes	complemented
50	C₂₃×#553	C₂²	1	8	yes	complemented
51	C₂₃×#553	C₂²	1	4	yes	complemented
52	C₂₃×#553	C₂²	1	8	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	complemented
56	C₂₃×#552	C₂²	1	4	yes	complemented
57	C₂₃×#552	C₂²	1	4	yes	complemented
58	C₂₃×#551	C₂²	1	8	yes	complemented
59	C₂₃×#551	C₂²	1	8	yes	complemented
60	C₂₃×#551	C₂²	1	8	yes	complemented
61	C₂₃×#551	C₂²	1	8	yes	complemented
62	C₂₃×#550	C₂²	1	4	yes	complemented
63	C₂₃×#550	C₂²	1	2	yes	complemented
64	C₂₃×#550	C₂²	1	2	yes	complemented
65	C₂₃×#550	C₂²	1	2	yes	complemented
66	C₂₃×#550	C₂²	1	4	yes	complemented
67	D₄×Q₈×C₂₃	C₂²	1	4	yes	complemented
68	D₄×Q₈×C₂₃	C₂²	1	2	yes	complemented
69	D₄×Q₈×C₂₃	C₂²	1	2	yes	complemented
70	C₂₃×#548	C₂²	1	4	yes	complemented
71	C₂₃×#548	C₂²	1	4	yes	complemented
72	C₂₃×#548	C₂²	1	4	yes	complemented
73	C₂₃×#548	C₂²	1	4	yes	complemented
74	C₂₃×#548	C₂²	1	4	yes	complemented
75	C₂₃×#548	C₂²	1	4	yes	complemented
76	C₂₃×#547	C₂²	1	8	yes	complemented
77	C₂₃×#547	C₂²	1	4	yes	complemented
78	C₂₃×#547	C₂²	1	2	yes	complemented
79	C₂₃×#547	C₂²	1	2	yes	complemented
80	C₂₃×#547	C₂²	1	2	yes	complemented
81	C₂₃×#546	C₂²	1	8	yes	complemented
82	C₂₃×#546	C₂²	1	4	yes	complemented
83	C₂₃×#546	C₂²	1	4	yes	complemented
84	C₂₃×#546	C₂²	1	8	yes	complemented
85	C₂₃×#546	C₂²	1	8	yes	complemented
86	C₂₃×#546	C₂²	1	4	yes	complemented
87	C₂₃×#546	C₂²	1	4	yes	complemented
88	C₂₃×#546	C₂²	1	4	yes	complemented
89	C₂₃×#546	C₂²	1	4	yes	complemented
90	C₂₃×#546	C₂²	1	8	yes	complemented
91	C₂₃×#546	C₂²	1	8	yes	complemented
92	C₂₃×#546	C₂²	1	4	yes	complemented
93	C₂₃×#546	C₂²	1	4	yes	complemented
94	D₄²×C₂₃	C₂²	1	4	yes	complemented
95	D₄²×C₂₃	C₂²	1	8	yes	complemented
96	D₄²×C₂₃	C₂²	1	2	yes	complemented
97	D₄²×C₂₃	C₂²	1	2	yes	complemented
98	D₄²×C₂₃	C₂²	1	4	yes	complemented
99	C₂₃×#544	C₂²	1	4	yes	complemented
100	C₂₃×#542	C₂²	1	4	yes	complemented
101	C₂₃×#542	C₂²	1	4	yes	complemented
102	C₂₃×#542	C₂²	1	8	yes	complemented
103	C₂₃×#541	C₂²	1	4	yes	complemented
104	C₂₃×#540	C₂²	1	4	yes	complemented
105	C₂₃×#540	C₂²	1	4	yes	complemented
106	C₂₃×#540	C₂²	1	4	yes	complemented
107	C₂₃×#540	C₂²	1	8	yes	complemented
108	C₂₃×#540	C₂²	1	8	yes	complemented
109	C₂₃×#539	C₂²	1	8	yes	complemented
110	C₂₃×#539	C₂²	1	4	yes	complemented
111	C₂₃×#539	C₂²	1	8	yes	complemented
112	C₂₃×#538	C₂²	1	8	yes	complemented
113	C₂₃×#538	C₂²	1	4	yes	complemented
114	C₂₃×#538	C₂²	1	8	yes	complemented
115	C₂₃×#538	C₂²	1	8	yes	complemented
116	C₂₃×#538	C₂²	1	8	yes	complemented
117	C₂₃×#538	C₂²	1	8	yes	complemented
118	C₂₃×#537	C₂²	1	2	yes	complemented
119	C₂₃×#537	C₂²	1	4	yes	complemented
120	C₂₃×#537	C₂²	1	2	yes	complemented
121	C₂₃×#537	C₂²	1	4	yes	complemented
122	C₂₃×#537	C₂²	1	4	yes	complemented
123	C₂₃×#536	C₂²	1	2	yes	complemented
124	C₂₃×#536	C₂²	1	4	yes	complemented
125	C₂₃×#536	C₂²	1	4	yes	complemented
126	C₂₃×#535	C₂²	1	2	yes	complemented
127	C₂₃×#535	C₂²	1	4	yes	complemented
128	C₂₃×#535	C₂²	1	4	yes	complemented
129	C₂₃×#535	C₂²	1	4	yes	complemented
130	C₂₃×#534	C₂²	1	4	yes	complemented
131	C₂₃×#534	C₂²	1	8	yes	complemented
132	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
135	C₂₃×#532	C₂²	1	1	yes	characteristic
136	C₂₃×#532	C₂²	1	2	yes	complemented
137	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
138	C₂₃×#532	C₂²	1	2	yes	complemented
139	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
140	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
141	C₂₃×#532	C₂²	1	2	yes	complemented
142	C₂₃×#532	C₂²	1	2	yes	complemented
143	C₂₃×#532	C₂²	1	2	yes	complemented
144	C₂₃×#532	C₂²	1	2	yes	complemented
145	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
148	C₂₃×#532	C₂²	1	4	yes	complemented
149	C₂₃×#532	C₂²	1	4	yes	complemented
150	C₂×C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
151	C₂×C₂₃×#127	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#529	C₂²	1	2	yes	complemented
153	C₂₃×#529	C₂²	1	2	yes	complemented
154	C₂₃×#529	C₂²	1	2	yes	complemented
155	C₂₃×#529	C₂²	1	2	yes	complemented
156	C₂₃×#529	C₂²	1	2	yes	complemented
157	C₂₃×#529	C₂²	1	2	yes	complemented
158	C₂₃×#529	C₂²	1	2	yes	complemented
159	C₂₃×#529	C₂²	1	2	yes	complemented
160	C₂₃×#529	C₂²	1	2	yes	complemented
161	C₂₃×#529	C₂²	1	2	yes	complemented
162	C₂₃×#529	C₂²	1	2	yes	complemented
163	C₂₃×#529	C₂²	1	2	yes	complemented
164	C₂₃×#529	C₂²	1	2	yes	complemented
165	C₂₃×#529	C₂²	1	2	yes	complemented
166	C₂₃×#529	C₂²	1	4	yes	complemented
167	C₂₃×#529	C₂²	1	4	yes	complemented
168	C₂₃×#529	C₂²	1	4	yes	complemented
169	C₂×C₂₃×#126	C₂²	1	2	yes	complemented
170	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₂₃×#124	C₂²	1	2	yes	complemented
173	C₂×C₂₃×#124	C₂²	1	4	yes	complemented
174	C₂₃×#525	C₂²	1	2	yes	complemented
175	C₂₃×#525	C₂²	1	2	yes	complemented
176	C₂₃×#525	C₂²	1	2	yes	complemented
177	C₂₃×#525	C₂²	1	4	yes	complemented
178	C₂₃×#525	C₂²	1	4	yes	complemented
179	C₂₃×#525	C₂²	1	4	yes	complemented
180	C₂×C₂₃×#123	C₂²	1	2	yes	complemented
181	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
183	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
184	C₂×C₂₃×#121	C₂²	1	2	yes	complemented
185	C₂×C₂₃×#121	C₂²	1	2	yes	complemented
186	C₂×C₂₃×#121	C₂²	1	4	yes	complemented
187	C₂×C₂₃×#121	C₂²	1	4	yes	complemented
188	C₂₃×#520	C₂²	1	2	yes	complemented
189	C₂₃×#520	C₂²	1	2	yes	complemented
190	C₂₃×#520	C₂²	1	4	yes	complemented
191	C₂₃×#518	C₂²	1	4	yes	complemented
192	C₂₃×#518	C₂²	1	8	yes	complemented
193	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
194	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
195	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
196	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄×D₄×C₂₃	C₂²	1	2	yes	complemented
199	C₂×C₄×D₄×C₂₃	C₂²	1	2	yes	complemented
200	C₂×C₄×D₄×C₂₃	C₂²	1	2	yes	complemented
201	C₂×C₂₃×#117	C₂²	1	2	yes	complemented
202	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
203	C₂₃×2₋¹⁺⁴	—	4	8	no	—
204	C₂₃×H(5,𝔽₂)	—	4	8	no	—
205	C₂×#41×C₂₃	—	4	8	no	—
206	C₂×#41×C₂₃	C₂³	1	2	yes	—
207	C₂×#41×C₂₃	C₂³	1	2	yes	—
208	C₂×#41×C₂₃	C₂³	1	2	yes	—
209	C₂×#41×C₂₃	C₂³	1	2	yes	—
210	C₂×#41×C₂₃	C₂³	1	4	yes	—
211	C₂×#41×C₂₃	C₂³	1	4	yes	—
212	C₂×#41×C₂₃	C₂³	1	4	yes	—
213	C₂×#41×C₂₃	C₂³	1	4	yes	—
214	C₂×#41×C₂₃	C₂³	1	4	yes	—
215	C₂×#41×C₂₃	C₂³	1	8	yes	—
216	C₂×#41×C₂₃	C₂³	1	2	yes	—
217	C₂×#41×C₂₃	C₂³	1	4	yes	—
218	C₂×#41×C₂₃	C₂³	1	2	yes	—
219	C₂×#41×C₂₃	C₂³	1	4	yes	—
220	C₂×#41×C₂₃	C₂³	1	2	yes	—
221	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
222	C₂²×Q₈×C₂₃	C₂³	1	4	yes	—
223	C₂²×Q₈×C₂₃	C₂³	1	2	yes	—
224	C₂²×Q₈×C₂₃	C₂³	1	4	yes	—
225	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
226	C₂²×D₄×C₂₃	C₂³	1	4	yes	—
227	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
228	C₂²×D₄×C₂₃	C₂³	1	8	yes	—
229	C₂²×D₄×C₂₃	C₂³	1	4	yes	—
230	C₂²×D₄×C₂₃	C₂³	1	4	yes	—
231	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
232	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
233	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
234	C₂²×D₄×C₂₃	C₂³	1	8	yes	—
235	C₂²×D₄×C₂₃	C₂³	1	4	yes	—
236	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
237	C₂³×C₄×C₂₃	C₂³	1	4	yes	—
238	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
239	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
240	C₂³×C₄×C₂₃	C₂³	1	2	yes	—
241	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₂₃×C₄⋊Q₈	C₂³	1	8	yes	—
245	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
246	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
247	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
248	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
249	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
250	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
251	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
252	C₂₃×#127	C₂³	1	1	yes	characteristic
253	C₂₃×#127	C₂³	1	4	yes	—
254	C₂₃×#127	C₂³	1	4	yes	—
255	C₂₃×#127	C₂³	1	8	yes	—
256	C₂₃×#127	C₂³	1	1	yes	characteristic
257	C₂₃×#127	C₂³	1	1	yes	characteristic
258	C₂₃×#127	C₂³	1	2	yes	—
259	C₂₃×#127	C₂³	1	2	yes	—
260	C₂₃×#127	C₂³	1	2	yes	—
261	C₂₃×#126	C₂³	1	8	yes	—
262	C₂₃×#126	C₂³	1	4	yes	—
263	C₂₃×#126	C₂³	1	4	yes	—
264	C₂₃×#126	C₂³	1	8	yes	—
265	C₂₃×#126	C₂³	1	8	yes	—
266	C₂₃×#126	C₂³	1	8	yes	—
267	C₂₃×#126	C₂³	1	8	yes	—
268	C₂₃×#126	C₂³	1	8	yes	—
269	C₂₃×#126	C₂³	1	8	yes	—
270	C₂₃×#126	C₂³	1	4	yes	—
271	C₂₃×#126	C₂³	1	4	yes	—
272	C₂₃×#126	C₂³	1	4	yes	—
273	C₂₃×#126	C₂³	1	4	yes	—
274	C₂₃×#125	C₂³	1	2	yes	—
275	C₂₃×#125	C₂³	1	2	yes	—
276	C₂₃×#125	C₂³	1	2	yes	—
277	C₂₃×#125	C₂³	1	8	yes	—
278	C₂₃×#125	C₂³	1	8	yes	—
279	C₂₃×#125	C₂³	1	8	yes	—
280	C₂₃×#125	C₂³	1	4	yes	—
281	C₂₃×#125	C₂³	1	2	yes	—
282	C₂₃×#125	C₂³	1	2	yes	—
283	C₂₃×#125	C₂³	1	2	yes	—
284	C₂₃×#125	C₂³	1	2	yes	—
285	C₂₃×#124	C₂³	1	8	yes	—
286	C₂₃×#124	C₂³	1	2	yes	—
287	C₂₃×#124	C₂³	1	2	yes	—
288	C₂₃×#124	C₂³	1	2	yes	—
289	C₂₃×#124	C₂³	1	2	yes	—
290	C₂₃×#124	C₂³	1	8	yes	—
291	C₂₃×#124	C₂³	1	8	yes	—
292	C₂₃×#124	C₂³	1	8	yes	—
293	C₂₃×#124	C₂³	1	8	yes	—
294	C₂₃×#124	C₂³	1	4	yes	—
295	C₂₃×#124	C₂³	1	4	yes	—
296	C₂₃×#124	C₂³	1	4	yes	—
297	C₂₃×#124	C₂³	1	8	yes	—
298	C₂₃×#124	C₂³	1	2	yes	—
299	C₂₃×#124	C₂³	1	4	yes	—
300	C₂₃×#124	C₂³	1	2	yes	—
301	C₂₃×#124	C₂³	1	2	yes	—
302	C₂₃×#124	C₂³	1	2	yes	—
303	C₂₃×#124	C₂³	1	2	yes	—
304	C₂₃×#124	C₂³	1	4	yes	—
305	C₂₃×#124	C₂³	1	2	yes	—
306	C₂₃×#124	C₂³	1	2	yes	—
307	C₂₃×#123	C₂³	1	8	yes	—
308	C₂₃×#123	C₂³	1	4	yes	—
309	C₂₃×#123	C₂³	1	8	yes	—
310	C₂₃×#123	C₂³	1	8	yes	—
311	C₂₃×#123	C₂³	1	8	yes	—
312	C₂₃×#123	C₂³	1	8	yes	—
313	C₂₃×#123	C₂³	1	8	yes	—
314	C₂₃×#123	C₂³	1	8	yes	—
315	C₂₃×#123	C₂³	1	8	yes	—
316	C₂₃×#123	C₂³	1	4	yes	—
317	C₂₃×#123	C₂³	1	8	yes	—
318	C₂₃×#123	C₂³	1	8	yes	—
319	C₂₃×#123	C₂³	1	8	yes	—
320	C₂₃×#123	C₂³	1	8	yes	—
321	C₂₃×#123	C₂³	1	8	yes	—
322	C₂₃×#123	C₂³	1	8	yes	—
323	C₂₃×#123	C₂³	1	8	yes	—
324	C₂₃×#123	C₂³	1	8	yes	—
325	C₂₃×#123	C₂³	1	4	yes	—
326	C₂₃×#123	C₂³	1	4	yes	—
327	C₂₃×#123	C₂³	1	4	yes	—
328	C₂₃×#123	C₂³	1	4	yes	—
329	C₂₃×#123	C₂³	1	4	yes	—
330	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
331	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
334	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
335	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
338	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
339	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
341	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
343	C₂₃×C₂²⋊Q₈	C₂³	1	4	yes	—
344	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
345	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
346	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
348	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
349	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
350	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
351	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
352	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
353	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
354	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
355	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
356	C₂₃×#121	C₂³	1	4	yes	—
357	C₂₃×#121	C₂³	1	4	yes	—
358	C₂₃×#121	C₂³	1	8	yes	—
359	C₂₃×#121	C₂³	1	8	yes	—
360	C₂₃×#121	C₂³	1	8	yes	—
361	C₂₃×#121	C₂³	1	4	yes	—
362	C₂₃×#121	C₂³	1	2	yes	—
363	C₂₃×#121	C₂³	1	4	yes	—
364	C₂₃×#121	C₂³	1	4	yes	—
365	C₂₃×#121	C₂³	1	8	yes	—
366	C₂₃×#121	C₂³	1	8	yes	—
367	C₂₃×#121	C₂³	1	4	yes	—
368	C₂₃×#121	C₂³	1	8	yes	—
369	C₂₃×#121	C₂³	1	8	yes	—
370	C₂₃×#121	C₂³	1	8	yes	—
371	C₂₃×#121	C₂³	1	8	yes	—
372	C₂₃×#121	C₂³	1	4	yes	—
373	C₂₃×#121	C₂³	1	2	yes	—
374	C₂₃×#121	C₂³	1	2	yes	—
375	C₂₃×#121	C₂³	1	8	yes	—
376	C₂₃×#121	C₂³	1	8	yes	—
377	C₂₃×#121	C₂³	1	4	yes	—
378	C₂₃×#121	C₂³	1	8	yes	—
379	C₂₃×#121	C₂³	1	8	yes	—
380	C₂₃×#121	C₂³	1	8	yes	—
381	C₂₃×#121	C₂³	1	8	yes	—
382	C₂₃×#121	C₂³	1	4	yes	—
383	C₂₃×#121	C₂³	1	4	yes	—
384	C₂₃×#121	C₂³	1	2	yes	—
385	C₂₃×#121	C₂³	1	4	yes	—
386	C₂₃×#121	C₂³	1	8	yes	—
387	C₂₃×#121	C₂³	1	8	yes	—
388	C₂₃×#121	C₂³	1	2	yes	—
389	C₂₃×#121	C₂³	1	8	yes	—
390	C₂₃×#121	C₂³	1	8	yes	—
391	C₂₃×#121	C₂³	1	8	yes	—
392	C₂₃×#121	C₂³	1	2	yes	—
393	C₂₃×#121	C₂³	1	4	yes	—
394	C₂₃×#121	C₂³	1	2	yes	—
395	C₂₃×#121	C₂³	1	2	yes	—
396	C₂₃×#121	C₂³	1	2	yes	—
397	C₂₃×#121	C₂³	1	2	yes	—
398	C₂₃×#121	C₂³	1	2	yes	—
399	C₂₃×#121	C₂³	1	2	yes	—
400	C₂₃×#121	C₂³	1	2	yes	—
401	C₂₃×#121	C₂³	1	2	yes	—
402	C₂₃×#121	C₂³	1	2	yes	—
403	C₂₃×#121	C₂³	1	4	yes	—
404	C₂₃×#121	C₂³	1	2	yes	—
405	C₂₃×#121	C₂³	1	2	yes	—
406	C₂₃×#121	C₂³	1	2	yes	—
407	C₂₃×#120	C₂³	1	8	yes	—
408	C₂₃×#120	C₂³	1	8	yes	—
409	C₂₃×#120	C₂³	1	8	yes	—
410	C₂₃×#120	C₂³	1	8	yes	—
411	C₂₃×#120	C₂³	1	8	yes	—
412	C₂₃×#120	C₂³	1	8	yes	—
413	C₂₃×#120	C₂³	1	8	yes	—
414	C₂₃×#120	C₂³	1	4	yes	—
415	C₂₃×#120	C₂³	1	8	yes	—
416	C₂₃×#120	C₂³	1	8	yes	—
417	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
418	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
419	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
420	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
421	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
422	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
423	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
424	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
425	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
426	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
427	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
428	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
429	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
430	C₄×D₄×C₂₃	C₂³	1	2	yes	—
431	C₄×D₄×C₂₃	C₂³	1	4	yes	—
432	C₄×D₄×C₂₃	C₂³	1	8	yes	—
433	C₄×D₄×C₂₃	C₂³	1	2	yes	—
434	C₄×D₄×C₂₃	C₂³	1	2	yes	—
435	C₄×D₄×C₂₃	C₂³	1	2	yes	—
436	C₄×D₄×C₂₃	C₂³	1	4	yes	—
437	C₄×D₄×C₂₃	C₂³	1	8	yes	—
438	C₄×D₄×C₂₃	C₂³	1	2	yes	—
439	C₄×D₄×C₂₃	C₂³	1	8	yes	—
440	C₄×D₄×C₂₃	C₂³	1	2	yes	—
441	C₄×D₄×C₂₃	C₂³	1	2	yes	—
442	C₄×D₄×C₂₃	C₂³	1	4	yes	—
443	C₄×D₄×C₂₃	C₂³	1	8	yes	—
444	C₄×D₄×C₂₃	C₂³	1	8	yes	—
445	C₄×D₄×C₂₃	C₂³	1	4	yes	—
446	C₄×D₄×C₂₃	C₂³	1	4	yes	—
447	C₄×D₄×C₂₃	C₂³	1	8	yes	—
448	C₄×D₄×C₂₃	C₂³	1	4	yes	—
449	C₄×D₄×C₂₃	C₂³	1	4	yes	—
450	C₄×D₄×C₂₃	C₂³	1	8	yes	—
451	C₄×D₄×C₂₃	C₂³	1	8	yes	—
452	C₄×D₄×C₂₃	C₂³	1	8	yes	—
453	C₄×D₄×C₂₃	C₂³	1	4	yes	—
454	C₄×D₄×C₂₃	C₂³	1	2	yes	—
455	C₄×D₄×C₂₃	C₂³	1	4	yes	—
456	C₄×D₄×C₂₃	C₂³	1	2	yes	—
457	C₄×D₄×C₂₃	C₂³	1	2	yes	—
458	C₄×D₄×C₂₃	C₂³	1	8	yes	—
459	C₄×D₄×C₂₃	C₂³	1	8	yes	—
460	C₄×D₄×C₂₃	C₂³	1	2	yes	—
461	C₄×D₄×C₂₃	C₂³	1	4	yes	—
462	C₄×D₄×C₂₃	C₂³	1	4	yes	—
463	C₄×D₄×C₂₃	C₂³	1	2	yes	—
464	C₄×D₄×C₂₃	C₂³	1	2	yes	—
465	C₄×D₄×C₂₃	C₂³	1	8	yes	—
466	C₄×D₄×C₂₃	C₂³	1	4	yes	—
467	C₄×D₄×C₂₃	C₂³	1	4	yes	—
468	C₄×D₄×C₂₃	C₂³	1	4	yes	—
469	C₄×D₄×C₂₃	C₂³	1	2	yes	—
470	C₄×D₄×C₂₃	C₂³	1	4	yes	—
471	C₄×D₄×C₂₃	C₂³	1	2	yes	—
472	C₄×D₄×C₂₃	C₂³	1	2	yes	—
473	C₄×D₄×C₂₃	C₂³	1	4	yes	—
474	C₄×D₄×C₂₃	C₂³	1	4	yes	—
475	C₄×D₄×C₂₃	C₂³	1	4	yes	—
476	C₄×D₄×C₂₃	C₂³	1	2	yes	—
477	C₄×D₄×C₂₃	C₂³	1	4	yes	—
478	C₄×D₄×C₂₃	C₂³	1	2	yes	—
479	C₂₃×#117	C₂³	1	2	yes	—
480	C₂₃×#117	C₂³	1	4	yes	—
481	C₂₃×#117	C₂³	1	4	yes	—
482	C₂₃×#117	C₂³	1	4	yes	—
483	C₂₃×#117	C₂³	1	4	yes	—
484	C₂₃×#117	C₂³	1	8	yes	—
485	C₂₃×#117	C₂³	1	8	yes	—
486	C₂₃×#117	C₂³	1	8	yes	—
487	C₂₃×#117	C₂³	1	4	yes	—
488	C₂₃×#117	C₂³	1	4	yes	—
489	C₂₃×#117	C₂³	1	2	yes	—
490	C₂₃×#117	C₂³	1	4	yes	—
491	C₂₃×#117	C₂³	1	4	yes	—
492	C₂₃×#117	C₂³	1	4	yes	—
493	C₂₃×#117	C₂³	1	2	yes	—
494	C₂₃×#117	C₂³	1	4	yes	—
495	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
496	C₂×C₄⋊C₄×C₂₃	C₂³	1	8	yes	—
497	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
498	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
499	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
500	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
501	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
502	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
503	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
504	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
505	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
506	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
507	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
508	C₂×C₂²⋊C₄×C₂₃	C₂³	1	8	yes	—
509	C₂×C₂²⋊C₄×C₂₃	C₂³	1	8	yes	—
510	C₂×C₂²⋊C₄×C₂₃	C₂³	1	8	yes	—
511	C₂×C₂²⋊C₄×C₂₃	C₂³	1	8	yes	—
512	C₂×C₂²⋊C₄×C₂₃	C₂³	1	8	yes	—
513	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
514	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
515	C₂×C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
516	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
517	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
518	C₂×C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
519	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
520	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
521	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
529	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
530	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
531	C₂×C₄²×C₂₃	C₂³	1	2	yes	—
532	C₂×C₄²×C₂₃	C₂³	1	4	yes	—
533	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
534	C₂⁴×C₂₃	C₂⁴	1	2	yes	—
535	C₂⁴×C₂₃	C₂⁴	1	4	yes	—
536	C₂⁴×C₂₃	C₂⁴	1	8	yes	—
537	#41×C₂₃	—	2	8	no	—
538	#41×C₂₃	—	2	8	no	—
539	#41×C₂₃	—	2	8	no	—
540	#41×C₂₃	—	4	8	no	—
541	#41×C₂₃	—	4	8	no	—
542	#41×C₂₃	—	4	4	no	—
543	#41×C₂₃	—	4	16	no	—
544	#41×C₂₃	—	4	4	no	—
545	#41×C₂₃	—	4	4	no	—
546	#41×C₂₃	—	4	8	no	—
547	#41×C₂₃	—	4	4	no	—
548	#41×C₂₃	—	4	8	no	—
549	#41×C₂₃	—	4	8	no	—
550	#41×C₂₃	—	4	8	no	—
551	#41×C₂₃	—	4	8	no	—
552	C₂×Q₈×C₂₃	—	2	4	no	—
553	C₂×Q₈×C₂₃	—	4	4	no	—
554	C₂×Q₈×C₂₃	—	4	8	no	—
555	C₂×Q₈×C₂₃	—	4	8	no	—
556	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
557	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
558	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
559	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
560	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
561	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
562	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
563	C₂×Q₈×C₂₃	C₂⁴	1	8	yes	—
564	C₂×Q₈×C₂₃	C₂⁴	1	4	yes	—
565	C₂×D₄×C₂₃	—	2	4	no	—
566	C₂×D₄×C₂₃	—	4	4	no	—
567	C₂×D₄×C₂₃	—	4	8	no	—
568	C₂×D₄×C₂₃	—	4	4	no	—
569	C₂×D₄×C₂₃	—	4	8	no	—
570	C₂×D₄×C₂₃	—	4	8	no	—
571	C₂×D₄×C₂₃	—	4	4	no	—
572	C₂×D₄×C₂₃	—	4	4	no	—
573	C₂×D₄×C₂₃	—	4	16	no	—
574	C₂×D₄×C₂₃	—	4	8	no	—
575	C₂×D₄×C₂₃	—	4	16	no	—
576	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
577	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
578	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
579	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
580	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
581	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
582	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
583	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
584	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
585	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
586	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
587	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
588	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
589	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
590	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
591	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
592	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
593	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
594	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
595	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
596	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
597	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
598	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
599	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
600	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
601	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
602	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
603	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
604	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
605	C₂×D₄×C₂₃	C₂⁴	1	4	yes	—
606	C₂²×C₄×C₂₃	—	2	4	no	—
607	C₂²×C₄×C₂₃	—	4	2	no	—
608	C₂²×C₄×C₂₃	—	4	4	no	—
609	C₂²×C₄×C₂₃	—	4	8	no	—
610	C₂²×C₄×C₂₃	—	4	2	no	—
611	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
612	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
616	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
617	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
618	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
622	C₂²×C₄×C₂₃	C₂⁴	1	4	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	1	yes	characteristic
627	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
628	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
629	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
630	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
631	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
632	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
633	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
634	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
635	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
636	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
637	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
638	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
639	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
640	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
641	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
642	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
643	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
644	C₂²×C₄×C₂₃	C₂⁴	1	8	yes	—
645	C₂²×C₄×C₂₃	C₂⁴	1	4	yes	—
646	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
648	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
649	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
650	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
651	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
652	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
653	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
654	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
655	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
656	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
657	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
658	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
659	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
660	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
661	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
662	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
663	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
664	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
665	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
666	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
667	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
668	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
669	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
670	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
671	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
672	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
673	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
674	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
675	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
676	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
677	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
678	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
679	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
680	C₄⋊C₄×C₂₃	C₂⁴	1	4	yes	—
681	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
682	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
683	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
684	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
685	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
686	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
687	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
688	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
689	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
690	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
691	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
692	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
693	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
694	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
695	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
696	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
697	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
698	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
699	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
700	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
701	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
702	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
703	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
704	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
705	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
706	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
707	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
708	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
709	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
710	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
711	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
712	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
713	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
714	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
715	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
716	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
717	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
718	C₂²⋊C₄×C₂₃	C₂⁴	1	4	yes	—
719	C₂²⋊C₄×C₂₃	C₂⁴	1	8	yes	—
720	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
721	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
722	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
723	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
724	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
725	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
726	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
727	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
728	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
729	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
730	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
731	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
732	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
733	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
734	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
735	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
736	C₄²×C₂₃	C₂⁴	1	4	yes	—
737	C₄²×C₂₃	C₂⁴	1	4	yes	—
738	C₄²×C₂₃	C₂⁴	1	4	yes	—
739	C₄²×C₂₃	C₂⁴	1	4	yes	—
740	C₄²×C₂₃	C₂⁴	1	4	yes	—
741	C₄²×C₂₃	C₂⁴	1	8	yes	—
742	C₄²×C₂₃	C₂⁴	1	8	yes	—
743	#62830	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
744	C₂³×C₂₃	—	2	2	no	—
745	C₂³×C₂₃	—	2	2	no	—
746	C₂³×C₂₃	—	2	4	no	—
747	C₂³×C₂₃	—	2	8	no	—
748	C₂³×C₂₃	—	4	1	no	—
749	C₂³×C₂₃	—	4	4	no	—
750	C₂³×C₂₃	—	4	2	no	—
751	C₂³×C₂₃	—	4	4	no	—
752	C₂³×C₂₃	—	4	2	no	—
753	C₂³×C₂₃	—	4	8	no	—
754	C₂³×C₂₃	—	4	8	no	—
755	C₂³×C₂₃	—	4	8	no	—
756	C₂³×C₂₃	C₂⁵	1	4	yes	—
757	C₂³×C₂₃	C₂⁵	1	4	yes	—
758	C₂³×C₂₃	C₂⁵	1	4	yes	—
759	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
760	C₂³×C₂₃	C₂⁵	1	4	yes	—
761	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
762	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
763	Q₈×C₂₃	—	2	4	no	—
764	Q₈×C₂₃	—	2	4	no	—
765	Q₈×C₂₃	—	2	4	no	—
766	Q₈×C₂₃	—	2	4	no	—
767	Q₈×C₂₃	—	2	4	no	—
768	Q₈×C₂₃	—	2	4	no	—
769	Q₈×C₂₃	—	4	8	no	—
770	Q₈×C₂₃	—	4	4	no	—
771	Q₈×C₂₃	—	4	2	no	—
772	D₄×C₂₃	—	2	8	no	—
773	D₄×C₂₃	—	2	8	no	—
774	D₄×C₂₃	—	2	8	no	—
775	D₄×C₂₃	—	2	8	no	—
776	D₄×C₂₃	—	2	8	no	—
777	D₄×C₂₃	—	2	4	no	—
778	D₄×C₂₃	—	2	4	no	—
779	D₄×C₂₃	—	2	4	no	—
780	D₄×C₂₃	—	2	4	no	—
781	D₄×C₂₃	—	2	4	no	—
782	D₄×C₂₃	—	2	4	no	—
783	D₄×C₂₃	—	2	4	no	—
784	D₄×C₂₃	—	2	4	no	—
785	D₄×C₂₃	—	4	8	no	—
786	D₄×C₂₃	—	4	8	no	—
787	D₄×C₂₃	—	4	8	no	—
788	D₄×C₂₃	—	4	4	no	—
789	D₄×C₂₃	—	4	2	no	—
790	D₄×C₂₃	—	4	4	no	—
791	D₄×C₂₃	—	4	2	no	—
792	D₄×C₂₃	—	4	4	no	—
793	D₄×C₂₃	—	4	8	no	—
794	D₄×C₂₃	—	4	8	no	—
795	D₄×C₂₃	—	4	4	no	—
796	D₄×C₂₃	—	4	4	no	—
797	D₄×C₂₃	—	4	4	no	—
798	D₄×C₂₃	—	4	2	no	—
799	D₄×C₂₃	—	4	4	no	—
800	D₄×C₂₃	—	4	8	no	—
801	D₄×C₂₃	—	4	8	no	—
802	C₂×C₄×C₂₃	—	2	2	no	—
803	C₂×C₄×C₂₃	—	2	4	no	—
804	C₂×C₄×C₂₃	—	2	2	no	—
805	C₂×C₄×C₂₃	—	2	2	no	—
806	C₂×C₄×C₂₃	—	2	2	no	—
807	C₂×C₄×C₂₃	—	2	2	no	—
808	C₂×C₄×C₂₃	—	2	2	no	—
809	C₂×C₄×C₂₃	—	2	2	no	—
810	C₂×C₄×C₂₃	—	2	8	no	—
811	C₂×C₄×C₂₃	—	2	8	no	—
812	C₂×C₄×C₂₃	—	2	8	no	—
813	C₂×C₄×C₂₃	—	2	2	no	—
814	C₂×C₄×C₂₃	—	2	2	no	—
815	C₂×C₄×C₂₃	—	2	8	no	—
816	C₂×C₄×C₂₃	—	2	2	no	—
817	C₂×C₄×C₂₃	—	4	1	no	—
818	C₂×C₄×C₂₃	—	4	4	no	—
819	C₂×C₄×C₂₃	—	4	1	no	—
820	C₂×C₄×C₂₃	—	4	1	no	—
821	C₂×C₄×C₂₃	—	4	1	no	—
822	C₂×C₄×C₂₃	—	4	1	no	—
823	C₂×C₄×C₂₃	—	4	2	no	—
824	C₂×C₄×C₂₃	—	4	1	no	—
825	C₂×C₄×C₂₃	—	4	1	no	—
826	C₂×C₄×C₂₃	—	4	4	no	—
827	C₂×C₄×C₂₃	—	4	4	no	—
828	C₂×C₄×C₂₃	—	4	4	no	—
829	C₂×C₄×C₂₃	—	4	2	no	—
830	C₂×C₄×C₂₃	—	4	8	no	—
831	C₂×C₄×C₂₃	—	4	8	no	—
832	C₂×C₄×C₂₃	—	4	8	no	—
833	C₂×C₄×C₂₃	—	4	8	no	—
834	C₂×C₄×C₂₃	—	4	4	no	—
835	C₂×C₄×C₂₃	—	4	4	no	—
836	C₂×C₄×C₂₃	—	4	8	no	—
837	C₂×C₄×C₂₃	H(5,𝔽₂)	1	4	yes	—
838	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
839	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
840	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
841	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
842	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
843	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
844	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
845	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
846	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
847	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
848	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
849	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
850	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
851	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
852	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
853	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
854	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
855	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
856	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
857	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
858	#3562	C₂×C₂₃	1	4	yes	complemented
859	#3560	C₂×C₂₃	1	4	yes	complemented
860	#3552	C₂×C₂₃	1	2	yes	complemented
861	#3551	C₂×C₂₃	1	4	yes	complemented
862	#3547	C₂×C₂₃	1	2	yes	complemented
863	#3546	C₂×C₂₃	1	2	yes	complemented
864	#3543	C₂×C₂₃	1	2	yes	complemented
865	#3534	C₂×C₂₃	1	4	yes	complemented
866	#3520	C₂×C₂₃	1	2	yes	complemented
867	#3519	C₂×C₂₃	1	4	yes	complemented
868	#3519	C₂×C₂₃	1	2	yes	complemented
869	#3517	C₂×C₂₃	1	2	yes	complemented
870	#3514	C₂×C₂₃	1	4	yes	complemented
871	#3514	C₂×C₂₃	1	2	yes	complemented
872	#3512	C₂×C₂₃	1	2	yes	complemented
873	#3507	C₂×C₂₃	1	1	yes	characteristic, complemented
874	#3506	C₂×C₂₃	1	1	yes	characteristic, complemented
875	#3505	C₂×C₂₃	1	4	yes	complemented
876	#3500	C₂×C₂₃	1	2	yes	complemented
877	#3497	C₂×C₂₃	1	1	yes	characteristic, complemented
878	#3496	C₂×C₂₃	1	1	yes	characteristic, complemented
879	#3494	C₂×C₂₃	1	4	yes	complemented
880	#3489	C₂×C₂₃	1	2	yes	complemented
881	#3488	C₂×C₂₃	1	2	yes	complemented
882	#3444	C₂×C₂₃	1	1	yes	characteristic, complemented
883	C₂×#532	C₂×C₂₃	1	1	yes	characteristic, complemented
884	C₂×#529	C₂×C₂₃	1	1	yes	characteristic, complemented
885	C₂²×C₂₃	—	2	1	no	—
886	C₂²×C₂₃	—	2	1	no	—
887	C₂²×C₂₃	—	2	1	no	—
888	C₂²×C₂₃	—	2	1	no	—
889	C₂²×C₂₃	—	2	1	no	—
890	C₂²×C₂₃	—	2	4	no	—
891	C₂²×C₂₃	—	2	4	no	—
892	C₂²×C₂₃	—	2	4	no	—
893	C₂²×C₂₃	—	2	4	no	—
894	C₂²×C₂₃	—	2	1	no	—
895	C₂²×C₂₃	—	2	4	no	—
896	C₂²×C₂₃	—	2	4	no	—
897	C₂²×C₂₃	—	2	1	no	—
898	C₂²×C₂₃	—	2	4	no	—
899	C₂²×C₂₃	—	2	4	no	—
900	C₂²×C₂₃	—	2	4	no	—
901	C₂²×C₂₃	—	2	4	no	—
902	C₂²×C₂₃	—	2	4	no	—
903	C₂²×C₂₃	—	2	4	no	—
904	C₂²×C₂₃	—	4	4	no	—
905	C₂²×C₂₃	—	8	8	no	—
906	C₂²×C₂₃	—	8	4	no	—
907	C₂²×C₂₃	—	16	8	no	—
908	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	2	yes	—
909	C₂²×C₂₃	#585	1	2	yes	—
910	C₂²×C₂₃	C₂⁶	1	1	yes	characteristic
911	C₄×C₂₃	—	2	1	no	—
912	C₄×C₂₃	—	2	1	no	—
913	C₄×C₂₃	—	2	4	no	—
914	C₄×C₂₃	—	2	4	no	—
915	C₄×C₂₃	—	2	4	no	—
916	C₄×C₂₃	—	2	4	no	—
917	C₄×C₂₃	—	2	1	no	—
918	C₄×C₂₃	—	2	1	no	—
919	C₄×C₂₃	—	2	1	no	—
920	C₄×C₂₃	—	2	4	no	—
921	C₄×C₂₃	—	2	1	no	—
922	C₄×C₂₃	—	2	1	no	—
923	C₄×C₂₃	—	2	1	no	—
924	C₄×C₂₃	—	2	1	no	—
925	C₄×C₂₃	—	2	4	no	—
926	C₄×C₂₃	—	2	4	no	—
927	C₄×C₂₃	—	2	4	no	—
928	C₄×C₂₃	C₂×H(5,𝔽₂)	1	2	yes	—
929	C₄×C₂₃	C₂×H(5,𝔽₂)	1	2	yes	—
930	C₄×C₂₃	#585	1	2	yes	—
931	C₂×2₋¹⁺⁴	C₂²×C₂₃	1	2	yes	complemented
932	C₂×H(5,𝔽₂)	C₂²×C₂₃	1	2	yes	complemented
933	C₂²×#41	C₂²×C₂₃	1	2	yes	complemented
934	#563	C₂²×C₂₃	1	8	yes	complemented
935	#562	C₂²×C₂₃	1	8	yes	complemented
936	#560	C₂²×C₂₃	1	8	yes	complemented
937	#560	C₂²×C₂₃	1	8	yes	complemented
938	#559	C₂²×C₂₃	1	4	yes	complemented
939	#559	C₂²×C₂₃	1	2	yes	complemented
940	#557	C₂²×C₂₃	1	2	yes	complemented
941	#556	C₂²×C₂₃	1	2	yes	complemented
942	#556	C₂²×C₂₃	1	4	yes	complemented
943	#556	C₂²×C₂₃	1	2	yes	complemented
944	#555	C₂²×C₂₃	1	8	yes	complemented
945	#555	C₂²×C₂₃	1	2	yes	complemented
946	#555	C₂²×C₂₃	1	4	yes	complemented
947	#554	C₂²×C₂₃	1	2	yes	complemented
948	#554	C₂²×C₂₃	1	4	yes	complemented
949	#553	C₂²×C₂₃	1	8	yes	complemented
950	#553	C₂²×C₂₃	1	8	yes	complemented
951	#553	C₂²×C₂₃	1	4	yes	complemented
952	#553	C₂²×C₂₃	1	4	yes	complemented
953	#553	C₂²×C₂₃	1	8	yes	complemented
954	#553	C₂²×C₂₃	1	4	yes	complemented
955	#553	C₂²×C₂₃	1	8	yes	complemented
956	#553	C₂²×C₂₃	1	4	yes	complemented
957	#553	C₂²×C₂₃	1	4	yes	complemented
958	#552	C₂²×C₂₃	1	4	yes	complemented
959	#552	C₂²×C₂₃	1	4	yes	complemented
960	#552	C₂²×C₂₃	1	4	yes	complemented
961	#551	C₂²×C₂₃	1	8	yes	complemented
962	#551	C₂²×C₂₃	1	8	yes	complemented
963	#551	C₂²×C₂₃	1	8	yes	complemented
964	#551	C₂²×C₂₃	1	8	yes	complemented
965	#550	C₂²×C₂₃	1	4	yes	complemented
966	#550	C₂²×C₂₃	1	2	yes	complemented
967	#550	C₂²×C₂₃	1	2	yes	complemented
968	#550	C₂²×C₂₃	1	2	yes	complemented
969	#550	C₂²×C₂₃	1	4	yes	complemented
970	D₄×Q₈	C₂²×C₂₃	1	4	yes	complemented
971	D₄×Q₈	C₂²×C₂₃	1	2	yes	complemented
972	D₄×Q₈	C₂²×C₂₃	1	2	yes	complemented
973	#548	C₂²×C₂₃	1	4	yes	complemented
974	#548	C₂²×C₂₃	1	4	yes	complemented
975	#548	C₂²×C₂₃	1	4	yes	complemented
976	#548	C₂²×C₂₃	1	4	yes	complemented
977	#548	C₂²×C₂₃	1	4	yes	complemented
978	#548	C₂²×C₂₃	1	4	yes	complemented
979	#547	C₂²×C₂₃	1	8	yes	complemented
980	#547	C₂²×C₂₃	1	4	yes	complemented
981	#547	C₂²×C₂₃	1	2	yes	complemented
982	#547	C₂²×C₂₃	1	2	yes	complemented
983	#547	C₂²×C₂₃	1	2	yes	complemented
984	#546	C₂²×C₂₃	1	8	yes	complemented
985	#546	C₂²×C₂₃	1	4	yes	complemented
986	#546	C₂²×C₂₃	1	4	yes	complemented
987	#546	C₂²×C₂₃	1	8	yes	complemented
988	#546	C₂²×C₂₃	1	8	yes	complemented
989	#546	C₂²×C₂₃	1	4	yes	complemented
990	#546	C₂²×C₂₃	1	4	yes	complemented
991	#546	C₂²×C₂₃	1	4	yes	complemented
992	#546	C₂²×C₂₃	1	4	yes	complemented
993	#546	C₂²×C₂₃	1	8	yes	complemented
994	#546	C₂²×C₂₃	1	8	yes	complemented
995	#546	C₂²×C₂₃	1	4	yes	complemented
996	#546	C₂²×C₂₃	1	4	yes	complemented
997	D₄²	C₂²×C₂₃	1	4	yes	complemented
998	D₄²	C₂²×C₂₃	1	8	yes	complemented
999	D₄²	C₂²×C₂₃	1	2	yes	complemented
1000	D₄²	C₂²×C₂₃	1	2	yes	complemented
1001	D₄²	C₂²×C₂₃	1	4	yes	complemented
1002	#544	C₂²×C₂₃	1	4	yes	complemented
1003	#542	C₂²×C₂₃	1	4	yes	complemented
1004	#542	C₂²×C₂₃	1	4	yes	complemented
1005	#542	C₂²×C₂₃	1	8	yes	complemented
1006	#541	C₂²×C₂₃	1	4	yes	complemented
1007	#540	C₂²×C₂₃	1	4	yes	complemented
1008	#540	C₂²×C₂₃	1	4	yes	complemented
1009	#540	C₂²×C₂₃	1	4	yes	complemented
1010	#540	C₂²×C₂₃	1	8	yes	complemented
1011	#540	C₂²×C₂₃	1	8	yes	complemented
1012	#539	C₂²×C₂₃	1	8	yes	complemented
1013	#539	C₂²×C₂₃	1	4	yes	complemented
1014	#539	C₂²×C₂₃	1	8	yes	complemented
1015	#538	C₂²×C₂₃	1	8	yes	complemented
1016	#538	C₂²×C₂₃	1	4	yes	complemented
1017	#538	C₂²×C₂₃	1	8	yes	complemented
1018	#538	C₂²×C₂₃	1	8	yes	complemented
1019	#538	C₂²×C₂₃	1	8	yes	complemented
1020	#538	C₂²×C₂₃	1	8	yes	complemented
1021	#537	C₂²×C₂₃	1	2	yes	complemented
1022	#537	C₂²×C₂₃	1	4	yes	complemented
1023	#537	C₂²×C₂₃	1	2	yes	complemented
1024	#537	C₂²×C₂₃	1	4	yes	complemented
1025	#537	C₂²×C₂₃	1	4	yes	complemented
1026	#536	C₂²×C₂₃	1	2	yes	complemented
1027	#536	C₂²×C₂₃	1	4	yes	complemented
1028	#536	C₂²×C₂₃	1	4	yes	complemented
1029	#535	C₂²×C₂₃	1	2	yes	complemented
1030	#535	C₂²×C₂₃	1	4	yes	complemented
1031	#535	C₂²×C₂₃	1	4	yes	complemented
1032	#535	C₂²×C₂₃	1	4	yes	complemented
1033	#534	C₂²×C₂₃	1	4	yes	complemented
1034	#534	C₂²×C₂₃	1	8	yes	complemented
1035	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	#532	C₂²×C₂₃	1	1	yes	characteristic
1039	#532	C₂²×C₂₃	1	2	yes	complemented
1040	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1041	#532	C₂²×C₂₃	1	2	yes	complemented
1042	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1043	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1044	#532	C₂²×C₂₃	1	2	yes	complemented
1045	#532	C₂²×C₂₃	1	2	yes	complemented
1046	#532	C₂²×C₂₃	1	2	yes	complemented
1047	#532	C₂²×C₂₃	1	2	yes	complemented
1048	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1049	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1050	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1051	#532	C₂²×C₂₃	1	4	yes	complemented
1052	#532	C₂²×C₂₃	1	4	yes	complemented
1053	C₂×C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1054	C₂×#127	C₂²×C₂₃	1	1	yes	characteristic, complemented
1055	#529	C₂²×C₂₃	1	2	yes	complemented
1056	#529	C₂²×C₂₃	1	2	yes	complemented
1057	#529	C₂²×C₂₃	1	2	yes	complemented
1058	#529	C₂²×C₂₃	1	2	yes	complemented
1059	#529	C₂²×C₂₃	1	2	yes	complemented
1060	#529	C₂²×C₂₃	1	2	yes	complemented
1061	#529	C₂²×C₂₃	1	2	yes	complemented
1062	#529	C₂²×C₂₃	1	2	yes	complemented
1063	#529	C₂²×C₂₃	1	2	yes	complemented
1064	#529	C₂²×C₂₃	1	2	yes	complemented
1065	#529	C₂²×C₂₃	1	2	yes	complemented
1066	#529	C₂²×C₂₃	1	2	yes	complemented
1067	#529	C₂²×C₂₃	1	2	yes	complemented
1068	#529	C₂²×C₂₃	1	2	yes	complemented
1069	#529	C₂²×C₂₃	1	4	yes	complemented
1070	#529	C₂²×C₂₃	1	4	yes	complemented
1071	#529	C₂²×C₂₃	1	4	yes	complemented
1072	C₂×#126	C₂²×C₂₃	1	2	yes	complemented
1073	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
1074	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic, complemented
1075	C₂×#124	C₂²×C₂₃	1	2	yes	complemented
1076	C₂×#124	C₂²×C₂₃	1	4	yes	complemented
1077	#525	C₂²×C₂₃	1	2	yes	complemented
1078	#525	C₂²×C₂₃	1	2	yes	complemented
1079	#525	C₂²×C₂₃	1	2	yes	complemented
1080	#525	C₂²×C₂₃	1	4	yes	complemented
1081	#525	C₂²×C₂₃	1	4	yes	complemented
1082	#525	C₂²×C₂₃	1	4	yes	complemented
1083	C₂×#123	C₂²×C₂₃	1	2	yes	complemented
1084	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1085	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	4	yes	complemented
1086	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
1087	C₂×#121	C₂²×C₂₃	1	2	yes	complemented
1088	C₂×#121	C₂²×C₂₃	1	2	yes	complemented
1089	C₂×#121	C₂²×C₂₃	1	4	yes	complemented
1090	C₂×#121	C₂²×C₂₃	1	4	yes	complemented
1091	#520	C₂²×C₂₃	1	2	yes	complemented
1092	#520	C₂²×C₂₃	1	2	yes	complemented
1093	#520	C₂²×C₂₃	1	4	yes	complemented
1094	#518	C₂²×C₂₃	1	4	yes	complemented
1095	#518	C₂²×C₂₃	1	8	yes	complemented
1096	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
1097	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
1098	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
1099	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1100	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1101	C₂×C₄×D₄	C₂²×C₂₃	1	2	yes	complemented
1102	C₂×C₄×D₄	C₂²×C₂₃	1	2	yes	complemented
1103	C₂×C₄×D₄	C₂²×C₂₃	1	2	yes	complemented
1104	C₂×#117	C₂²×C₂₃	1	2	yes	complemented
1105	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
1106	C₂×C₂₃	—	2	2	no	—
1107	C₂×C₂₃	—	2	2	no	—
1108	C₂×C₂₃	—	4	1	no	—
1109	C₂×C₂₃	—	4	4	no	—
1110	C₂×C₂₃	—	4	4	no	—
1111	C₂×C₂₃	—	4	4	no	—
1112	C₂×C₂₃	—	4	4	no	—
1113	C₂×C₂₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1114	C₂×C₂₃	C₂×#585	1	1	yes	characteristic
1115	C₂×C₂₃	C₂×#585	1	1	yes	characteristic
1116	2₋¹⁺⁴	—	4	8	no	—
1117	H(5,𝔽₂)	—	4	8	no	—
1118	C₂×#41	—	4	8	no	—
1119	C₂×#41	C₂³×C₂₃	1	2	yes	—
1120	C₂×#41	C₂³×C₂₃	1	2	yes	—
1121	C₂×#41	C₂³×C₂₃	1	2	yes	—
1122	C₂×#41	C₂³×C₂₃	1	2	yes	—
1123	C₂×#41	C₂³×C₂₃	1	2	yes	—
1124	C₂×#41	C₂³×C₂₃	1	4	yes	—
1125	C₂×#41	C₂³×C₂₃	1	4	yes	—
1126	C₂×#41	C₂³×C₂₃	1	4	yes	—
1127	C₂×#41	C₂³×C₂₃	1	4	yes	—
1128	C₂×#41	C₂³×C₂₃	1	4	yes	—
1129	C₂×#41	C₂³×C₂₃	1	2	yes	—
1130	C₂×#41	C₂³×C₂₃	1	2	yes	—
1131	C₂×#41	C₂³×C₂₃	1	4	yes	—
1132	C₂×#41	C₂³×C₂₃	1	4	yes	—
1133	C₂×#41	C₂³×C₂₃	1	8	yes	—
1134	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1135	C₂²×Q₈	C₂³×C₂₃	1	4	yes	—
1136	C₂²×Q₈	C₂³×C₂₃	1	2	yes	—
1137	C₂²×Q₈	C₂³×C₂₃	1	4	yes	—
1138	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1139	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
1140	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
1141	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
1142	C₂²×D₄	C₂³×C₂₃	1	8	yes	—
1143	C₂²×D₄	C₂³×C₂₃	1	4	yes	—
1144	C₂²×D₄	C₂³×C₂₃	1	4	yes	—
1145	C₂²×D₄	C₂³×C₂₃	1	8	yes	—
1146	C₂²×D₄	C₂³×C₂₃	1	4	yes	—
1147	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
1148	C₂²×D₄	C₂³×C₂₃	1	4	yes	—
1149	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1150	C₂³×C₄	C₂³×C₂₃	1	2	yes	—
1151	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1152	C₂³×C₄	C₂³×C₂₃	1	4	yes	—
1153	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1154	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1155	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1156	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1157	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1158	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
1159	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1160	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1161	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1162	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1163	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
1164	C₄⋊Q₈	C₂³×C₂₃	1	8	yes	—
1165	#127	C₂³×C₂₃	1	1	yes	characteristic
1166	#127	C₂³×C₂₃	1	2	yes	—
1167	#127	C₂³×C₂₃	1	2	yes	—
1168	#127	C₂³×C₂₃	1	1	yes	characteristic
1169	#127	C₂³×C₂₃	1	2	yes	—
1170	#127	C₂³×C₂₃	1	1	yes	characteristic
1171	#127	C₂³×C₂₃	1	4	yes	—
1172	#127	C₂³×C₂₃	1	4	yes	—
1173	#127	C₂³×C₂₃	1	8	yes	—
1174	#126	C₂³×C₂₃	1	4	yes	—
1175	#126	C₂³×C₂₃	1	4	yes	—
1176	#126	C₂³×C₂₃	1	4	yes	—
1177	#126	C₂³×C₂₃	1	4	yes	—
1178	#126	C₂³×C₂₃	1	4	yes	—
1179	#126	C₂³×C₂₃	1	4	yes	—
1180	#126	C₂³×C₂₃	1	8	yes	—
1181	#126	C₂³×C₂₃	1	8	yes	—
1182	#126	C₂³×C₂₃	1	8	yes	—
1183	#126	C₂³×C₂₃	1	8	yes	—
1184	#126	C₂³×C₂₃	1	8	yes	—
1185	#126	C₂³×C₂₃	1	8	yes	—
1186	#126	C₂³×C₂₃	1	8	yes	—
1187	#125	C₂³×C₂₃	1	2	yes	—
1188	#125	C₂³×C₂₃	1	2	yes	—
1189	#125	C₂³×C₂₃	1	2	yes	—
1190	#125	C₂³×C₂₃	1	2	yes	—
1191	#125	C₂³×C₂₃	1	2	yes	—
1192	#125	C₂³×C₂₃	1	2	yes	—
1193	#125	C₂³×C₂₃	1	2	yes	—
1194	#125	C₂³×C₂₃	1	4	yes	—
1195	#125	C₂³×C₂₃	1	8	yes	—
1196	#125	C₂³×C₂₃	1	8	yes	—
1197	#125	C₂³×C₂₃	1	8	yes	—
1198	#124	C₂³×C₂₃	1	2	yes	—
1199	#124	C₂³×C₂₃	1	2	yes	—
1200	#124	C₂³×C₂₃	1	2	yes	—
1201	#124	C₂³×C₂₃	1	2	yes	—
1202	#124	C₂³×C₂₃	1	2	yes	—
1203	#124	C₂³×C₂₃	1	2	yes	—
1204	#124	C₂³×C₂₃	1	2	yes	—
1205	#124	C₂³×C₂₃	1	4	yes	—
1206	#124	C₂³×C₂₃	1	2	yes	—
1207	#124	C₂³×C₂₃	1	4	yes	—
1208	#124	C₂³×C₂₃	1	4	yes	—
1209	#124	C₂³×C₂₃	1	4	yes	—
1210	#124	C₂³×C₂₃	1	8	yes	—
1211	#124	C₂³×C₂₃	1	8	yes	—
1212	#124	C₂³×C₂₃	1	2	yes	—
1213	#124	C₂³×C₂₃	1	2	yes	—
1214	#124	C₂³×C₂₃	1	2	yes	—
1215	#124	C₂³×C₂₃	1	4	yes	—
1216	#124	C₂³×C₂₃	1	8	yes	—
1217	#124	C₂³×C₂₃	1	8	yes	—
1218	#124	C₂³×C₂₃	1	8	yes	—
1219	#124	C₂³×C₂₃	1	8	yes	—
1220	#123	C₂³×C₂₃	1	4	yes	—
1221	#123	C₂³×C₂₃	1	4	yes	—
1222	#123	C₂³×C₂₃	1	4	yes	—
1223	#123	C₂³×C₂₃	1	4	yes	—
1224	#123	C₂³×C₂₃	1	4	yes	—
1225	#123	C₂³×C₂₃	1	4	yes	—
1226	#123	C₂³×C₂₃	1	4	yes	—
1227	#123	C₂³×C₂₃	1	8	yes	—
1228	#123	C₂³×C₂₃	1	8	yes	—
1229	#123	C₂³×C₂₃	1	8	yes	—
1230	#123	C₂³×C₂₃	1	8	yes	—
1231	#123	C₂³×C₂₃	1	8	yes	—
1232	#123	C₂³×C₂₃	1	8	yes	—
1233	#123	C₂³×C₂₃	1	8	yes	—
1234	#123	C₂³×C₂₃	1	8	yes	—
1235	#123	C₂³×C₂₃	1	8	yes	—
1236	#123	C₂³×C₂₃	1	8	yes	—
1237	#123	C₂³×C₂₃	1	8	yes	—
1238	#123	C₂³×C₂₃	1	8	yes	—
1239	#123	C₂³×C₂₃	1	8	yes	—
1240	#123	C₂³×C₂₃	1	8	yes	—
1241	#123	C₂³×C₂₃	1	8	yes	—
1242	#123	C₂³×C₂₃	1	8	yes	—
1243	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1244	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1245	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1246	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1247	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1248	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1249	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1250	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1251	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1252	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1253	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1254	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1255	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1256	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
1257	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1258	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1259	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1260	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1261	C₂²⋊Q₈	C₂³×C₂₃	1	4	yes	—
1262	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1263	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1264	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1265	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1266	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1267	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1268	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
1269	#121	C₂³×C₂₃	1	2	yes	—
1270	#121	C₂³×C₂₃	1	2	yes	—
1271	#121	C₂³×C₂₃	1	2	yes	—
1272	#121	C₂³×C₂₃	1	2	yes	—
1273	#121	C₂³×C₂₃	1	2	yes	—
1274	#121	C₂³×C₂₃	1	2	yes	—
1275	#121	C₂³×C₂₃	1	2	yes	—
1276	#121	C₂³×C₂₃	1	2	yes	—
1277	#121	C₂³×C₂₃	1	2	yes	—
1278	#121	C₂³×C₂₃	1	2	yes	—
1279	#121	C₂³×C₂₃	1	2	yes	—
1280	#121	C₂³×C₂₃	1	4	yes	—
1281	#121	C₂³×C₂₃	1	2	yes	—
1282	#121	C₂³×C₂₃	1	4	yes	—
1283	#121	C₂³×C₂₃	1	4	yes	—
1284	#121	C₂³×C₂₃	1	2	yes	—
1285	#121	C₂³×C₂₃	1	2	yes	—
1286	#121	C₂³×C₂₃	1	4	yes	—
1287	#121	C₂³×C₂₃	1	8	yes	—
1288	#121	C₂³×C₂₃	1	4	yes	—
1289	#121	C₂³×C₂₃	1	4	yes	—
1290	#121	C₂³×C₂₃	1	8	yes	—
1291	#121	C₂³×C₂₃	1	8	yes	—
1292	#121	C₂³×C₂₃	1	8	yes	—
1293	#121	C₂³×C₂₃	1	4	yes	—
1294	#121	C₂³×C₂₃	1	4	yes	—
1295	#121	C₂³×C₂₃	1	2	yes	—
1296	#121	C₂³×C₂₃	1	2	yes	—
1297	#121	C₂³×C₂₃	1	2	yes	—
1298	#121	C₂³×C₂₃	1	2	yes	—
1299	#121	C₂³×C₂₃	1	4	yes	—
1300	#121	C₂³×C₂₃	1	4	yes	—
1301	#121	C₂³×C₂₃	1	4	yes	—
1302	#121	C₂³×C₂₃	1	4	yes	—
1303	#121	C₂³×C₂₃	1	4	yes	—
1304	#121	C₂³×C₂₃	1	8	yes	—
1305	#121	C₂³×C₂₃	1	8	yes	—
1306	#121	C₂³×C₂₃	1	8	yes	—
1307	#121	C₂³×C₂₃	1	8	yes	—
1308	#121	C₂³×C₂₃	1	8	yes	—
1309	#121	C₂³×C₂₃	1	8	yes	—
1310	#121	C₂³×C₂₃	1	8	yes	—
1311	#121	C₂³×C₂₃	1	8	yes	—
1312	#121	C₂³×C₂₃	1	8	yes	—
1313	#121	C₂³×C₂₃	1	8	yes	—
1314	#121	C₂³×C₂₃	1	8	yes	—
1315	#121	C₂³×C₂₃	1	8	yes	—
1316	#121	C₂³×C₂₃	1	8	yes	—
1317	#121	C₂³×C₂₃	1	8	yes	—
1318	#121	C₂³×C₂₃	1	8	yes	—
1319	#121	C₂³×C₂₃	1	8	yes	—
1320	#120	C₂³×C₂₃	1	4	yes	—
1321	#120	C₂³×C₂₃	1	8	yes	—
1322	#120	C₂³×C₂₃	1	8	yes	—
1323	#120	C₂³×C₂₃	1	8	yes	—
1324	#120	C₂³×C₂₃	1	8	yes	—
1325	#120	C₂³×C₂₃	1	8	yes	—
1326	#120	C₂³×C₂₃	1	8	yes	—
1327	#120	C₂³×C₂₃	1	8	yes	—
1328	#120	C₂³×C₂₃	1	8	yes	—
1329	#120	C₂³×C₂₃	1	8	yes	—
1330	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1331	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1332	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1333	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1334	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1335	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1336	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1337	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1338	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1339	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
1340	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1341	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1342	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
1343	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1344	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1345	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1346	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1347	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1348	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1349	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1350	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1351	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1352	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1353	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1354	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1355	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1356	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1357	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1358	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1359	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1360	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1361	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1362	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1363	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1364	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1365	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1366	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1367	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1368	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1369	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1370	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1371	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1372	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1373	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1374	C₄×D₄	C₂³×C₂₃	1	2	yes	—
1375	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1376	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1377	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1378	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1379	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1380	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1381	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1382	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1383	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1384	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1385	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1386	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1387	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1388	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1389	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1390	C₄×D₄	C₂³×C₂₃	1	8	yes	—
1391	C₄×D₄	C₂³×C₂₃	1	4	yes	—
1392	#117	C₂³×C₂₃	1	4	yes	—
1393	#117	C₂³×C₂₃	1	4	yes	—
1394	#117	C₂³×C₂₃	1	4	yes	—
1395	#117	C₂³×C₂₃	1	4	yes	—
1396	#117	C₂³×C₂₃	1	2	yes	—
1397	#117	C₂³×C₂₃	1	2	yes	—
1398	#117	C₂³×C₂₃	1	2	yes	—
1399	#117	C₂³×C₂₃	1	4	yes	—
1400	#117	C₂³×C₂₃	1	4	yes	—
1401	#117	C₂³×C₂₃	1	4	yes	—
1402	#117	C₂³×C₂₃	1	4	yes	—
1403	#117	C₂³×C₂₃	1	8	yes	—
1404	#117	C₂³×C₂₃	1	8	yes	—
1405	#117	C₂³×C₂₃	1	4	yes	—
1406	#117	C₂³×C₂₃	1	4	yes	—
1407	#117	C₂³×C₂₃	1	8	yes	—
1408	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1409	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1410	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1411	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1412	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1413	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1414	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1415	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
1416	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1417	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1418	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
1419	C₂×C₄⋊C₄	C₂³×C₂₃	1	8	yes	—
1420	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1421	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1422	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1423	C₂×C₂²⋊C₄	C₂³×C₂₃	1	4	yes	—
1424	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1425	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1426	C₂×C₂²⋊C₄	C₂³×C₂₃	1	2	yes	—
1427	C₂×C₂²⋊C₄	C₂³×C₂₃	1	8	yes	—
1428	C₂×C₂²⋊C₄	C₂³×C₂₃	1	8	yes	—
1429	C₂×C₂²⋊C₄	C₂³×C₂₃	1	8	yes	—
1430	C₂×C₂²⋊C₄	C₂³×C₂₃	1	8	yes	—
1431	C₂×C₂²⋊C₄	C₂³×C₂₃	1	8	yes	—
1432	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1433	C₂×C₄²	C₂³×C₂₃	1	2	yes	—
1434	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1435	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1436	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1437	C₂×C₄²	C₂³×C₂₃	1	4	yes	—
1438	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1439	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1440	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1441	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1442	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1443	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1444	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1445	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1446	C₂₃	#62830	1	1	yes	characteristic, direct product factor, Sylow
1447	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1448	C₂⁴	C₂⁴×C₂₃	1	2	yes	—
1449	C₂⁴	C₂⁴×C₂₃	1	4	yes	—
1450	C₂⁴	C₂⁴×C₂₃	1	8	yes	—
1451	#41	—	2	8	no	—
1452	#41	—	2	8	no	—
1453	#41	—	2	8	no	—
1454	#41	—	4	8	no	—
1455	#41	—	4	8	no	—
1456	#41	—	4	16	no	—
1457	#41	—	4	4	no	—
1458	#41	—	4	4	no	—
1459	#41	—	4	4	no	—
1460	#41	—	4	8	no	—
1461	#41	—	4	8	no	—
1462	#41	—	4	8	no	—
1463	#41	—	4	8	no	—
1464	#41	—	4	8	no	—
1465	#41	—	4	4	no	—
1466	C₂×Q₈	—	2	4	no	—
1467	C₂×Q₈	—	4	4	no	—
1468	C₂×Q₈	—	4	8	no	—
1469	C₂×Q₈	—	4	8	no	—
1470	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1471	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1472	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1473	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1474	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1475	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1476	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
1477	C₂×Q₈	C₂⁴×C₂₃	1	8	yes	—
1478	C₂×Q₈	C₂⁴×C₂₃	1	4	yes	—
1479	C₂×D₄	—	2	4	no	—
1480	C₂×D₄	—	4	4	no	—
1481	C₂×D₄	—	4	8	no	—
1482	C₂×D₄	—	4	8	no	—
1483	C₂×D₄	—	4	4	no	—
1484	C₂×D₄	—	4	8	no	—
1485	C₂×D₄	—	4	4	no	—
1486	C₂×D₄	—	4	8	no	—
1487	C₂×D₄	—	4	16	no	—
1488	C₂×D₄	—	4	4	no	—
1489	C₂×D₄	—	4	16	no	—
1490	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1491	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1492	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1493	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1494	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1495	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1496	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1497	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1498	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1499	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1500	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1501	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1502	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1503	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1504	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1505	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1506	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1507	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1508	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1509	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1510	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1511	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1512	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1513	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
1514	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1515	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1516	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1517	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1518	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
1519	C₂×D₄	C₂⁴×C₂₃	1	4	yes	—
1520	C₂²×C₄	—	2	4	no	—
1521	C₂²×C₄	—	4	8	no	—
1522	C₂²×C₄	—	4	2	no	—
1523	C₂²×C₄	—	4	4	no	—
1524	C₂²×C₄	—	4	2	no	—
1525	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1526	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1527	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1528	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1529	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1530	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1531	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1532	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1533	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1534	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1535	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1536	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1537	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1538	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1539	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1540	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1541	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1542	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1543	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1544	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1545	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1546	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1547	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1548	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1549	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1550	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
1551	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1552	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1553	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1554	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1555	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1556	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1557	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1558	C₂²×C₄	C₂⁴×C₂₃	1	8	yes	—
1559	C₂²×C₄	C₂⁴×C₂₃	1	4	yes	—
1560	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1561	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1562	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1563	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1564	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1565	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1566	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1567	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1568	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1569	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1570	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1571	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1572	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1573	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1574	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1575	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1576	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1577	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1578	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1579	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1580	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1581	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1582	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1583	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1584	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1585	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1586	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1587	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1588	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1589	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1590	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1591	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1592	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1593	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1594	C₄⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1595	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1596	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
1597	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1598	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1599	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1600	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1601	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1602	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1603	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1604	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1605	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1606	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1607	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1608	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1609	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1610	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1611	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1612	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1613	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1614	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1615	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1616	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1617	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1618	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1619	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1620	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1621	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1622	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1623	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1624	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1625	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1626	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1627	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1628	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1629	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1630	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1631	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1632	C₂²⋊C₄	C₂⁴×C₂₃	1	4	yes	—
1633	C₂²⋊C₄	C₂⁴×C₂₃	1	8	yes	—
1634	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1635	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1636	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1637	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1638	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1639	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1640	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1641	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1642	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1643	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1644	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1645	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1646	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1647	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1648	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1649	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1650	C₄²	C₂⁴×C₂₃	1	4	yes	—
1651	C₄²	C₂⁴×C₂₃	1	4	yes	—
1652	C₄²	C₂⁴×C₂₃	1	4	yes	—
1653	C₄²	C₂⁴×C₂₃	1	4	yes	—
1654	C₄²	C₂⁴×C₂₃	1	4	yes	—
1655	C₄²	C₂⁴×C₂₃	1	8	yes	—
1656	C₄²	C₂⁴×C₂₃	1	8	yes	—
1657	C₂³	—	2	2	no	—
1658	C₂³	—	2	2	no	—
1659	C₂³	—	2	4	no	—
1660	C₂³	—	2	8	no	—
1661	C₂³	—	4	1	no	—
1662	C₂³	—	4	4	no	—
1663	C₂³	—	4	2	no	—
1664	C₂³	—	4	4	no	—
1665	C₂³	—	4	2	no	—
1666	C₂³	—	4	8	no	—
1667	C₂³	—	4	8	no	—
1668	C₂³	—	4	8	no	—
1669	C₂³	C₂⁵×C₂₃	1	4	yes	—
1670	C₂³	C₂⁵×C₂₃	1	4	yes	—
1671	C₂³	C₂⁵×C₂₃	1	4	yes	—
1672	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1673	C₂³	C₂⁵×C₂₃	1	4	yes	—
1674	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1675	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1676	Q₈	—	2	4	no	—
1677	Q₈	—	2	4	no	—
1678	Q₈	—	2	4	no	—
1679	Q₈	—	2	4	no	—
1680	Q₈	—	2	4	no	—
1681	Q₈	—	2	4	no	—
1682	Q₈	—	4	8	no	—
1683	Q₈	—	4	4	no	—
1684	Q₈	—	4	2	no	—
1685	D₄	—	2	8	no	—
1686	D₄	—	2	8	no	—
1687	D₄	—	2	8	no	—
1688	D₄	—	2	8	no	—
1689	D₄	—	2	8	no	—
1690	D₄	—	2	4	no	—
1691	D₄	—	2	4	no	—
1692	D₄	—	2	4	no	—
1693	D₄	—	2	4	no	—
1694	D₄	—	2	4	no	—
1695	D₄	—	2	4	no	—
1696	D₄	—	2	4	no	—
1697	D₄	—	2	4	no	—
1698	D₄	—	4	8	no	—
1699	D₄	—	4	8	no	—
1700	D₄	—	4	4	no	—
1701	D₄	—	4	4	no	—
1702	D₄	—	4	4	no	—
1703	D₄	—	4	8	no	—
1704	D₄	—	4	4	no	—
1705	D₄	—	4	2	no	—
1706	D₄	—	4	4	no	—
1707	D₄	—	4	2	no	—
1708	D₄	—	4	4	no	—
1709	D₄	—	4	8	no	—
1710	D₄	—	4	8	no	—
1711	D₄	—	4	8	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	4	4	no	—
1714	D₄	—	4	8	no	—
1715	C₂×C₄	—	2	2	no	—
1716	C₂×C₄	—	2	4	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	2	no	—
1722	C₂×C₄	—	2	2	no	—
1723	C₂×C₄	—	2	8	no	—
1724	C₂×C₄	—	2	8	no	—
1725	C₂×C₄	—	2	8	no	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	2	2	no	—
1728	C₂×C₄	—	2	8	no	—
1729	C₂×C₄	—	2	2	no	—
1730	C₂×C₄	—	4	4	no	—
1731	C₂×C₄	—	4	4	no	—
1732	C₂×C₄	—	4	4	no	—
1733	C₂×C₄	—	4	1	no	—
1734	C₂×C₄	—	4	4	no	—
1735	C₂×C₄	—	4	1	no	—
1736	C₂×C₄	—	4	1	no	—
1737	C₂×C₄	—	4	1	no	—
1738	C₂×C₄	—	4	1	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	4	1	no	—
1741	C₂×C₄	—	4	1	no	—
1742	C₂×C₄	—	4	8	no	—
1743	C₂×C₄	—	4	2	no	—
1744	C₂×C₄	—	4	8	no	—
1745	C₂×C₄	—	4	8	no	—
1746	C₂×C₄	—	4	8	no	—
1747	C₂×C₄	—	4	4	no	—
1748	C₂×C₄	—	4	4	no	—
1749	C₂×C₄	—	4	8	no	—
1750	C₂×C₄	C₂₃×H(5,𝔽₂)	1	4	yes	—
1751	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1752	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1753	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1754	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1755	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1756	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1757	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1758	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1759	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1760	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1761	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1762	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1763	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1764	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1765	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1766	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1767	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
1768	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1769	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1770	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1771	C₂²	—	2	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	4	no	—
1777	C₂²	—	2	4	no	—
1778	C₂²	—	2	4	no	—
1779	C₂²	—	2	4	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	4	no	—
1782	C₂²	—	2	4	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	4	no	—
1785	C₂²	—	2	4	no	—
1786	C₂²	—	2	4	no	—
1787	C₂²	—	2	4	no	—
1788	C₂²	—	2	4	no	—
1789	C₂²	—	2	4	no	—
1790	C₂²	—	4	4	no	—
1791	C₂²	—	8	8	no	—
1792	C₂²	—	8	4	no	—
1793	C₂²	—	16	8	no	—
1794	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	2	yes	—
1795	C₂²	C₂₃×#585	1	2	yes	—
1796	C₂²	C₂⁶×C₂₃	1	1	yes	characteristic
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	2	4	no	—
1800	C₄	—	2	4	no	—
1801	C₄	—	2	4	no	—
1802	C₄	—	2	4	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	4	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	4	no	—
1812	C₄	—	2	4	no	—
1813	C₄	—	2	4	no	—
1814	C₄	C₂×C₂₃×H(5,𝔽₂)	1	2	yes	—
1815	C₄	C₂×C₂₃×H(5,𝔽₂)	1	2	yes	—
1816	C₄	C₂₃×#585	1	2	yes	—
1817	C₂	—	2	2	no	—
1818	C₂	—	2	2	no	—
1819	C₂	—	4	1	no	—
1820	C₂	—	4	4	no	—
1821	C₂	—	4	4	no	—
1822	C₂	—	4	4	no	—
1823	C₂	—	4	4	no	—
1824	C₂	C₂²×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1825	C₂	C₂×C₂₃×#585	1	1	yes	characteristic
1826	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×#3562	C₂	semidirect
2. C₂₃×#3560	C₂	semidirect
3. C₂₃×#3552	C₂	semidirect
4. C₂₃×#3551	C₂	semidirect
5. C₂₃×#3547	C₂	semidirect
6. C₂₃×#3546	C₂	semidirect
7. C₂₃×#3543	C₂	semidirect
8. C₂₃×#3534	C₂	semidirect
9. C₂₃×#3520	C₂	semidirect
10. C₂₃×#3519	C₂	semidirect
11. C₂₃×#3519	C₂	semidirect
12. C₂₃×#3517	C₂	semidirect
13. C₂₃×#3514	C₂	semidirect
14. C₂₃×#3514	C₂	semidirect
15. C₂₃×#3512	C₂	semidirect
16. C₂₃×#3507	C₂	semidirect
17. C₂₃×#3506	C₂	semidirect
18. C₂₃×#3505	C₂	semidirect
19. C₂₃×#3500	C₂	semidirect
20. C₂₃×#3497	C₂	semidirect
21. C₂₃×#3496	C₂	semidirect
22. C₂₃×#3494	C₂	semidirect
23. C₂₃×#3489	C₂	semidirect
24. C₂₃×#3488	C₂	semidirect
25. C₂₃×#3444	C₂	semidirect
26. C₂×C₂₃×#532	C₂	semidirect
27. C₂×C₂₃×#529	C₂	semidirect
28. C₂×C₂₃×2₋¹⁺⁴	C₂²	semidirect
29. C₂×C₂₃×H(5,𝔽₂)	C₂²	semidirect
30. C₂²×#41×C₂₃	C₂²	semidirect
31. C₂₃×#563	C₂²	semidirect
32. C₂₃×#562	C₂²	semidirect
33. C₂₃×#560	C₂²	semidirect
34. C₂₃×#560	C₂²	semidirect
35. C₂₃×#559	C₂²	semidirect
36. C₂₃×#559	C₂²	semidirect
37. C₂₃×#557	C₂²	semidirect
38. C₂₃×#556	C₂²	semidirect
39. C₂₃×#556	C₂²	semidirect
40. C₂₃×#556	C₂²	semidirect
41. C₂₃×#555	C₂²	semidirect
42. C₂₃×#555	C₂²	semidirect
43. C₂₃×#555	C₂²	semidirect
44. C₂₃×#554	C₂²	semidirect
45. C₂₃×#554	C₂²	semidirect
46. C₂₃×#553	C₂²	semidirect
47. C₂₃×#553	C₂²	semidirect
48. C₂₃×#553	C₂²	semidirect
49. C₂₃×#553	C₂²	semidirect
50. C₂₃×#553	C₂²	semidirect
51. C₂₃×#553	C₂²	semidirect
52. C₂₃×#553	C₂²	semidirect
53. C₂₃×#553	C₂²	semidirect
54. C₂₃×#553	C₂²	semidirect
55. C₂₃×#552	C₂²	semidirect
56. C₂₃×#552	C₂²	semidirect
57. C₂₃×#552	C₂²	semidirect
58. C₂₃×#551	C₂²	semidirect
59. C₂₃×#551	C₂²	semidirect
60. C₂₃×#551	C₂²	semidirect
61. C₂₃×#551	C₂²	semidirect
62. C₂₃×#550	C₂²	semidirect
63. C₂₃×#550	C₂²	semidirect
64. C₂₃×#550	C₂²	semidirect
65. C₂₃×#550	C₂²	semidirect
66. C₂₃×#550	C₂²	semidirect
67. D₄×Q₈×C₂₃	C₂²	semidirect
68. D₄×Q₈×C₂₃	C₂²	semidirect
69. D₄×Q₈×C₂₃	C₂²	semidirect
70. C₂₃×#548	C₂²	semidirect
71. C₂₃×#548	C₂²	semidirect
72. C₂₃×#548	C₂²	semidirect
73. C₂₃×#548	C₂²	semidirect
74. C₂₃×#548	C₂²	semidirect
75. C₂₃×#548	C₂²	semidirect
76. C₂₃×#547	C₂²	semidirect
77. C₂₃×#547	C₂²	semidirect
78. C₂₃×#547	C₂²	semidirect
79. C₂₃×#547	C₂²	semidirect
80. C₂₃×#547	C₂²	semidirect
81. C₂₃×#546	C₂²	semidirect
82. C₂₃×#546	C₂²	semidirect
83. C₂₃×#546	C₂²	semidirect
84. C₂₃×#546	C₂²	semidirect
85. C₂₃×#546	C₂²	semidirect
86. C₂₃×#546	C₂²	semidirect
87. C₂₃×#546	C₂²	semidirect
88. C₂₃×#546	C₂²	semidirect
89. C₂₃×#546	C₂²	semidirect
90. C₂₃×#546	C₂²	semidirect
91. C₂₃×#546	C₂²	semidirect
92. C₂₃×#546	C₂²	semidirect
93. C₂₃×#546	C₂²	semidirect
94. D₄²×C₂₃	C₂²	semidirect
95. D₄²×C₂₃	C₂²	semidirect
96. D₄²×C₂₃	C₂²	semidirect
97. D₄²×C₂₃	C₂²	semidirect
98. D₄²×C₂₃	C₂²	semidirect
99. C₂₃×#544	C₂²	semidirect
100. C₂₃×#542	C₂²	semidirect
101. C₂₃×#542	C₂²	semidirect
102. C₂₃×#542	C₂²	semidirect
103. C₂₃×#541	C₂²	semidirect
104. C₂₃×#540	C₂²	semidirect
105. C₂₃×#540	C₂²	semidirect
106. C₂₃×#540	C₂²	semidirect
107. C₂₃×#540	C₂²	semidirect
108. C₂₃×#540	C₂²	semidirect
109. C₂₃×#539	C₂²	semidirect
110. C₂₃×#539	C₂²	semidirect
111. C₂₃×#539	C₂²	semidirect
112. C₂₃×#538	C₂²	semidirect
113. C₂₃×#538	C₂²	semidirect
114. C₂₃×#538	C₂²	semidirect
115. C₂₃×#538	C₂²	semidirect
116. C₂₃×#538	C₂²	semidirect
117. C₂₃×#538	C₂²	semidirect
118. C₂₃×#537	C₂²	semidirect
119. C₂₃×#537	C₂²	semidirect
120. C₂₃×#537	C₂²	semidirect
121. C₂₃×#537	C₂²	semidirect
122. C₂₃×#537	C₂²	semidirect
123. C₂₃×#536	C₂²	semidirect
124. C₂₃×#536	C₂²	semidirect
125. C₂₃×#536	C₂²	semidirect
126. C₂₃×#535	C₂²	semidirect
127. C₂₃×#535	C₂²	semidirect
128. C₂₃×#535	C₂²	semidirect
129. C₂₃×#535	C₂²	semidirect
130. C₂₃×#534	C₂²	semidirect
131. C₂₃×#534	C₂²	semidirect
132. C₂₃×#533	C₂²	semidirect
133. C₂₃×#533	C₂²	semidirect
134. C₂₃×#533	C₂²	semidirect
136. C₂₃×#532	C₂²	semidirect
137. C₂₃×#532	C₂²	semidirect
138. C₂₃×#532	C₂²	semidirect
139. C₂₃×#532	C₂²	semidirect
140. C₂₃×#532	C₂²	semidirect
141. C₂₃×#532	C₂²	semidirect
142. C₂₃×#532	C₂²	semidirect
143. C₂₃×#532	C₂²	semidirect
144. C₂₃×#532	C₂²	semidirect
145. C₂₃×#532	C₂²	semidirect
146. C₂₃×#532	C₂²	semidirect
147. C₂₃×#532	C₂²	semidirect
148. C₂₃×#532	C₂²	semidirect
149. C₂₃×#532	C₂²	semidirect
150. C₂×C₂₃×C₄⋊Q₈	C₂²	semidirect
151. C₂×C₂₃×#127	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
158. C₂₃×#529	C₂²	semidirect
159. C₂₃×#529	C₂²	semidirect
160. C₂₃×#529	C₂²	semidirect
161. C₂₃×#529	C₂²	semidirect
162. C₂₃×#529	C₂²	semidirect
163. C₂₃×#529	C₂²	semidirect
164. C₂₃×#529	C₂²	semidirect
165. C₂₃×#529	C₂²	semidirect
166. C₂₃×#529	C₂²	semidirect
167. C₂₃×#529	C₂²	semidirect
168. C₂₃×#529	C₂²	semidirect
169. C₂×C₂₃×#126	C₂²	semidirect
170. C₂×C₂₃×#125	C₂²	semidirect
171. C₂×C₂₃×#124	C₂²	semidirect
172. C₂×C₂₃×#124	C₂²	semidirect
173. C₂×C₂₃×#124	C₂²	semidirect
174. C₂₃×#525	C₂²	semidirect
175. C₂₃×#525	C₂²	semidirect
176. C₂₃×#525	C₂²	semidirect
177. C₂₃×#525	C₂²	semidirect
178. C₂₃×#525	C₂²	semidirect
179. C₂₃×#525	C₂²	semidirect
180. C₂×C₂₃×#123	C₂²	semidirect
181. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
182. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
184. C₂×C₂₃×#121	C₂²	semidirect
185. C₂×C₂₃×#121	C₂²	semidirect
186. C₂×C₂₃×#121	C₂²	semidirect
187. C₂×C₂₃×#121	C₂²	semidirect
188. C₂₃×#520	C₂²	semidirect
189. C₂₃×#520	C₂²	semidirect
190. C₂₃×#520	C₂²	semidirect
191. C₂₃×#518	C₂²	semidirect
192. C₂₃×#518	C₂²	semidirect
193. C₄×#41×C₂₃	C₂²	semidirect
194. C₄×#41×C₂₃	C₂²	semidirect
195. C₄×#41×C₂₃	C₂²	semidirect
196. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
197. C₂×C₄×D₄×C₂₃	C₂²	semidirect
198. C₂×C₄×D₄×C₂₃	C₂²	semidirect
199. C₂×C₄×D₄×C₂₃	C₂²	semidirect
200. C₂×C₄×D₄×C₂₃	C₂²	semidirect
201. C₂×C₂₃×#117	C₂²	semidirect
202. C₂²×C₄²×C₂₃	C₂²	semidirect
743. #62830	C₂₃	direct (N × H)
858. #3562	C₂×C₂₃	semidirect
859. #3560	C₂×C₂₃	semidirect
860. #3552	C₂×C₂₃	semidirect
861. #3551	C₂×C₂₃	semidirect
862. #3547	C₂×C₂₃	semidirect
863. #3546	C₂×C₂₃	semidirect
864. #3543	C₂×C₂₃	semidirect
865. #3534	C₂×C₂₃	semidirect
866. #3520	C₂×C₂₃	semidirect
867. #3519	C₂×C₂₃	semidirect
868. #3519	C₂×C₂₃	semidirect
869. #3517	C₂×C₂₃	semidirect
870. #3514	C₂×C₂₃	semidirect
871. #3514	C₂×C₂₃	semidirect
872. #3512	C₂×C₂₃	semidirect
873. #3507	C₂×C₂₃	semidirect
874. #3506	C₂×C₂₃	semidirect
875. #3505	C₂×C₂₃	semidirect
876. #3500	C₂×C₂₃	semidirect
877. #3497	C₂×C₂₃	semidirect
878. #3496	C₂×C₂₃	semidirect
879. #3494	C₂×C₂₃	semidirect
880. #3489	C₂×C₂₃	semidirect
881. #3488	C₂×C₂₃	semidirect
882. #3444	C₂×C₂₃	semidirect
883. C₂×#532	C₂×C₂₃	semidirect
884. C₂×#529	C₂×C₂₃	semidirect
931. C₂×2₋¹⁺⁴	C₂²×C₂₃	semidirect
932. C₂×H(5,𝔽₂)	C₂²×C₂₃	semidirect
933. C₂²×#41	C₂²×C₂₃	semidirect
934. #563	C₂²×C₂₃	semidirect
935. #562	C₂²×C₂₃	semidirect
936. #560	C₂²×C₂₃	semidirect
937. #560	C₂²×C₂₃	semidirect
938. #559	C₂²×C₂₃	semidirect
939. #559	C₂²×C₂₃	semidirect
940. #557	C₂²×C₂₃	semidirect
941. #556	C₂²×C₂₃	semidirect
942. #556	C₂²×C₂₃	semidirect
943. #556	C₂²×C₂₃	semidirect
944. #555	C₂²×C₂₃	semidirect
945. #555	C₂²×C₂₃	semidirect
946. #555	C₂²×C₂₃	semidirect
947. #554	C₂²×C₂₃	semidirect
948. #554	C₂²×C₂₃	semidirect
949. #553	C₂²×C₂₃	semidirect
950. #553	C₂²×C₂₃	semidirect
951. #553	C₂²×C₂₃	semidirect
952. #553	C₂²×C₂₃	semidirect
953. #553	C₂²×C₂₃	semidirect
954. #553	C₂²×C₂₃	semidirect
955. #553	C₂²×C₂₃	semidirect
956. #553	C₂²×C₂₃	semidirect
957. #553	C₂²×C₂₃	semidirect
958. #552	C₂²×C₂₃	semidirect
959. #552	C₂²×C₂₃	semidirect
960. #552	C₂²×C₂₃	semidirect
961. #551	C₂²×C₂₃	semidirect
962. #551	C₂²×C₂₃	semidirect
963. #551	C₂²×C₂₃	semidirect
964. #551	C₂²×C₂₃	semidirect
965. #550	C₂²×C₂₃	semidirect
966. #550	C₂²×C₂₃	semidirect
967. #550	C₂²×C₂₃	semidirect
968. #550	C₂²×C₂₃	semidirect
969. #550	C₂²×C₂₃	semidirect
970. D₄×Q₈	C₂²×C₂₃	semidirect
971. D₄×Q₈	C₂²×C₂₃	semidirect
972. D₄×Q₈	C₂²×C₂₃	semidirect
973. #548	C₂²×C₂₃	semidirect
974. #548	C₂²×C₂₃	semidirect
975. #548	C₂²×C₂₃	semidirect
976. #548	C₂²×C₂₃	semidirect
977. #548	C₂²×C₂₃	semidirect
978. #548	C₂²×C₂₃	semidirect
979. #547	C₂²×C₂₃	semidirect
980. #547	C₂²×C₂₃	semidirect
981. #547	C₂²×C₂₃	semidirect
982. #547	C₂²×C₂₃	semidirect
983. #547	C₂²×C₂₃	semidirect
984. #546	C₂²×C₂₃	semidirect
985. #546	C₂²×C₂₃	semidirect
986. #546	C₂²×C₂₃	semidirect
987. #546	C₂²×C₂₃	semidirect
988. #546	C₂²×C₂₃	semidirect
989. #546	C₂²×C₂₃	semidirect
990. #546	C₂²×C₂₃	semidirect
991. #546	C₂²×C₂₃	semidirect
992. #546	C₂²×C₂₃	semidirect
993. #546	C₂²×C₂₃	semidirect
994. #546	C₂²×C₂₃	semidirect
995. #546	C₂²×C₂₃	semidirect
996. #546	C₂²×C₂₃	semidirect
997. D₄²	C₂²×C₂₃	semidirect
998. D₄²	C₂²×C₂₃	semidirect
999. D₄²	C₂²×C₂₃	semidirect
1000. D₄²	C₂²×C₂₃	semidirect
1001. D₄²	C₂²×C₂₃	semidirect
1002. #544	C₂²×C₂₃	semidirect
1003. #542	C₂²×C₂₃	semidirect
1004. #542	C₂²×C₂₃	semidirect
1005. #542	C₂²×C₂₃	semidirect
1006. #541	C₂²×C₂₃	semidirect
1007. #540	C₂²×C₂₃	semidirect
1008. #540	C₂²×C₂₃	semidirect
1009. #540	C₂²×C₂₃	semidirect
1010. #540	C₂²×C₂₃	semidirect
1011. #540	C₂²×C₂₃	semidirect
1012. #539	C₂²×C₂₃	semidirect
1013. #539	C₂²×C₂₃	semidirect
1014. #539	C₂²×C₂₃	semidirect
1015. #538	C₂²×C₂₃	semidirect
1016. #538	C₂²×C₂₃	semidirect
1017. #538	C₂²×C₂₃	semidirect
1018. #538	C₂²×C₂₃	semidirect
1019. #538	C₂²×C₂₃	semidirect
1020. #538	C₂²×C₂₃	semidirect
1021. #537	C₂²×C₂₃	semidirect
1022. #537	C₂²×C₂₃	semidirect
1023. #537	C₂²×C₂₃	semidirect
1024. #537	C₂²×C₂₃	semidirect
1025. #537	C₂²×C₂₃	semidirect
1026. #536	C₂²×C₂₃	semidirect
1027. #536	C₂²×C₂₃	semidirect
1028. #536	C₂²×C₂₃	semidirect
1029. #535	C₂²×C₂₃	semidirect
1030. #535	C₂²×C₂₃	semidirect
1031. #535	C₂²×C₂₃	semidirect
1032. #535	C₂²×C₂₃	semidirect
1033. #534	C₂²×C₂₃	semidirect
1034. #534	C₂²×C₂₃	semidirect
1035. #533	C₂²×C₂₃	semidirect
1036. #533	C₂²×C₂₃	semidirect
1037. #533	C₂²×C₂₃	semidirect
1039. #532	C₂²×C₂₃	semidirect
1040. #532	C₂²×C₂₃	semidirect
1041. #532	C₂²×C₂₃	semidirect
1042. #532	C₂²×C₂₃	semidirect
1043. #532	C₂²×C₂₃	semidirect
1044. #532	C₂²×C₂₃	semidirect
1045. #532	C₂²×C₂₃	semidirect
1046. #532	C₂²×C₂₃	semidirect
1047. #532	C₂²×C₂₃	semidirect
1048. #532	C₂²×C₂₃	semidirect
1049. #532	C₂²×C₂₃	semidirect
1050. #532	C₂²×C₂₃	semidirect
1051. #532	C₂²×C₂₃	semidirect
1052. #532	C₂²×C₂₃	semidirect
1053. C₂×C₄⋊Q₈	C₂²×C₂₃	semidirect
1054. C₂×#127	C₂²×C₂₃	semidirect
1055. #529	C₂²×C₂₃	semidirect
1056. #529	C₂²×C₂₃	semidirect
1057. #529	C₂²×C₂₃	semidirect
1058. #529	C₂²×C₂₃	semidirect
1059. #529	C₂²×C₂₃	semidirect
1060. #529	C₂²×C₂₃	semidirect
1061. #529	C₂²×C₂₃	semidirect
1062. #529	C₂²×C₂₃	semidirect
1063. #529	C₂²×C₂₃	semidirect
1064. #529	C₂²×C₂₃	semidirect
1065. #529	C₂²×C₂₃	semidirect
1066. #529	C₂²×C₂₃	semidirect
1067. #529	C₂²×C₂₃	semidirect
1068. #529	C₂²×C₂₃	semidirect
1069. #529	C₂²×C₂₃	semidirect
1070. #529	C₂²×C₂₃	semidirect
1071. #529	C₂²×C₂₃	semidirect
1072. C₂×#126	C₂²×C₂₃	semidirect
1073. C₂×#125	C₂²×C₂₃	semidirect
1074. C₂×#124	C₂²×C₂₃	semidirect
1075. C₂×#124	C₂²×C₂₃	semidirect
1076. C₂×#124	C₂²×C₂₃	semidirect
1077. #525	C₂²×C₂₃	semidirect
1078. #525	C₂²×C₂₃	semidirect
1079. #525	C₂²×C₂₃	semidirect
1080. #525	C₂²×C₂₃	semidirect
1081. #525	C₂²×C₂₃	semidirect
1082. #525	C₂²×C₂₃	semidirect
1083. C₂×#123	C₂²×C₂₃	semidirect
1084. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
1085. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
1087. C₂×#121	C₂²×C₂₃	semidirect
1088. C₂×#121	C₂²×C₂₃	semidirect
1089. C₂×#121	C₂²×C₂₃	semidirect
1090. C₂×#121	C₂²×C₂₃	semidirect
1091. #520	C₂²×C₂₃	semidirect
1092. #520	C₂²×C₂₃	semidirect
1093. #520	C₂²×C₂₃	semidirect
1094. #518	C₂²×C₂₃	semidirect
1095. #518	C₂²×C₂₃	semidirect
1096. C₄×#41	C₂²×C₂₃	semidirect
1097. C₄×#41	C₂²×C₂₃	semidirect
1098. C₄×#41	C₂²×C₂₃	semidirect
1099. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
1100. C₂×C₄×D₄	C₂²×C₂₃	semidirect
1101. C₂×C₄×D₄	C₂²×C₂₃	semidirect
1102. C₂×C₄×D₄	C₂²×C₂₃	semidirect
1103. C₂×C₄×D₄	C₂²×C₂₃	semidirect
1104. C₂×#117	C₂²×C₂₃	semidirect
1105. C₂²×C₄²	C₂²×C₂₃	semidirect
1446. C₂₃	#62830	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×#3562	2
C₂₃×#3560	2
C₂₃×#3552	2
C₂₃×#3551	2
C₂₃×#3547	2
C₂₃×#3546	2
C₂₃×#3543	2
C₂₃×#3534	2
C₂₃×#3520	2
C₂₃×#3519	2
C₂₃×#3517	2
C₂₃×#3514	2
C₂₃×#3512	2
C₂₃×#3507	2
C₂₃×#3506	2
C₂₃×#3505	2
C₂₃×#3500	2
C₂₃×#3497	2
C₂₃×#3496	2
C₂₃×#3494	2
C₂₃×#3489	2
C₂₃×#3488	2
C₂₃×#3444	2
C₂×C₂₃×#532	2
C₂×C₂₃×#529	2
#62830	23

Subgroups — C23×#62830 #19210456

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#62830 #19210456