Subgroups — #15687548

Order 2944.

1336 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13093159	C₂	1	1	yes	maximal, characteristic, complemented
2	#13093158	C₂	1	1	yes	maximal, characteristic, complemented
3	#13093157	C₂	1	1	yes	maximal, characteristic, complemented
4	#13093155	C₂	1	1	yes	maximal, characteristic, complemented
5	#13093096	C₂	1	1	yes	maximal, characteristic, complemented
6	#13093094	C₂	1	1	yes	maximal, characteristic, complemented
7	#13093092	C₂	1	1	yes	maximal, characteristic, complemented
8	#13093063	C₂	1	1	yes	maximal, characteristic, complemented
9	#13093062	C₂	1	1	yes	maximal, characteristic, complemented
10	#13093060	C₂	1	1	yes	maximal, characteristic, complemented
11	#13093059	C₂	1	1	yes	maximal, characteristic, complemented
12	#13093058	C₂	1	1	yes	maximal, characteristic, complemented
13	#13093056	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×D₉₂	C₂	1	1	yes	maximal, characteristic, complemented
15	#13093051	C₂	1	1	yes	maximal, characteristic, complemented
16	#13093051	C₂	1	1	yes	maximal, characteristic, complemented
17	#13093006	C₂	1	1	yes	maximal, characteristic, complemented
18	#13093006	C₂	1	1	yes	maximal, characteristic, complemented
19	#13093005	C₂	1	1	yes	maximal, characteristic, complemented
20	#13093003	C₂	1	1	yes	maximal, characteristic, complemented
21	#13093001	C₂	1	1	yes	maximal, characteristic, complemented
22	#13092985	C₂	1	1	yes	maximal, characteristic, complemented
23	#13092983	C₂	1	1	yes	maximal, characteristic, complemented
24	#13092982	C₂	1	1	yes	maximal, characteristic, complemented
25	#13092978	C₂	1	1	yes	maximal, characteristic, complemented
26	#13092977	C₂	1	1	yes	maximal, characteristic, complemented
27	#13092975	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#10625053	C₂	1	1	yes	maximal, characteristic, complemented
29	#120×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
30	#120×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×D₂₃	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₂²⋊D₂₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×#67292	C₂²	1	1	yes	characteristic, complemented
35	C₂×#67290	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#67288	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₉₂	C₂²	1	1	yes	characteristic, complemented
46	C₂²×D₉₂	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₉₂	C₂²	1	1	yes	characteristic, complemented
48	C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
49	C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
50	C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
51	C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
52	C₂₃×#123	C₂²	1	1	yes	characteristic, complemented
53	C₂₃×#123	C₂²	1	1	yes	characteristic, complemented
54	C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
56	C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
57	C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
58	C₂₃×#120	C₂²	1	1	yes	characteristic, complemented
59	C₂₃×#120	C₂²	1	1	yes	characteristic, complemented
60	C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
61	C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
63	#10625124	C₂²	1	1	yes	characteristic, complemented
64	#10625124	C₂²	1	1	yes	characteristic, complemented
65	#10625118	C₂²	1	1	yes	characteristic, complemented
66	#10625118	C₂²	1	1	yes	characteristic, complemented
67	#10625117	C₂²	1	1	yes	characteristic, complemented
68	#10625111	C₂²	1	1	yes	characteristic, complemented
69	#10625111	C₂²	1	1	yes	characteristic, complemented
70	#10625111	C₂²	1	1	yes	characteristic, complemented
71	#10625110	C₂²	1	1	yes	characteristic, complemented
72	#10625110	C₂²	1	1	yes	characteristic, complemented
73	#10625110	C₂²	1	1	yes	characteristic, complemented
74	#10625109	C₂²	1	1	yes	characteristic, complemented
75	#10625109	C₂²	1	1	yes	characteristic, complemented
76	#10625108	C₂²	1	1	yes	characteristic
77	#10625108	C₂²	1	1	yes	characteristic, complemented
78	#10625108	C₂²	1	1	yes	characteristic, complemented
79	#10625108	C₂²	1	1	yes	characteristic, complemented
80	#10625108	C₂²	1	1	yes	characteristic, complemented
81	#10625108	C₂²	1	1	yes	characteristic, complemented
82	#10625108	C₂²	1	1	yes	characteristic, complemented
83	#10625108	C₂²	1	1	yes	characteristic, complemented
84	#10625108	C₂²	1	1	yes	characteristic, complemented
85	#10625108	C₂²	1	1	yes	characteristic, complemented
86	#10625106	C₂²	1	1	yes	characteristic, complemented
87	#10625101	C₂²	1	1	yes	characteristic, complemented
88	#10625101	C₂²	1	1	yes	characteristic, complemented
89	#10625101	C₂²	1	1	yes	characteristic, complemented
90	#10625101	C₂²	1	1	yes	characteristic, complemented
91	#10625100	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₂²⋊D₂₃	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₂²⋊D₂₃	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₂²⋊D₂₃	C₂²	1	1	yes	characteristic, complemented
95	C₂×(C₂×D₂₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
96	C₂×(C₂×D₂₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
97	C₂×(C₂×D₂₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
98	#10625095	C₂²	1	1	yes	characteristic, complemented
99	#10625069	C₂²	1	1	yes	characteristic, complemented
100	#10625069	C₂²	1	1	yes	characteristic, complemented
101	#10625069	C₂²	1	1	yes	characteristic, complemented
102	#10625068	C₂²	1	1	yes	characteristic, complemented
103	#10625067	C₂²	1	1	yes	characteristic, complemented
104	#10625067	C₂²	1	1	yes	characteristic, complemented
105	#10625066	C₂²	1	1	yes	characteristic, complemented
106	#10625066	C₂²	1	1	yes	characteristic, complemented
107	#10625066	C₂²	1	1	yes	characteristic, complemented
108	#10625066	C₂²	1	1	yes	characteristic, complemented
109	#10625066	C₂²	1	1	yes	characteristic, complemented
110	#10625066	C₂²	1	1	yes	characteristic, complemented
111	#10625066	C₂²	1	1	yes	characteristic, complemented
112	#10625065	C₂²	1	1	yes	characteristic, complemented
113	#10625065	C₂²	1	1	yes	characteristic, complemented
114	#10625065	C₂²	1	1	yes	characteristic, complemented
115	#10625065	C₂²	1	1	yes	characteristic, complemented
116	#10625065	C₂²	1	1	yes	characteristic, complemented
117	#10625065	C₂²	1	1	yes	characteristic, complemented
118	#10625065	C₂²	1	1	yes	characteristic, complemented
119	#10625064	C₂²	1	1	yes	characteristic, complemented
120	#10625064	C₂²	1	1	yes	characteristic, complemented
121	#10625064	C₂²	1	1	yes	characteristic, complemented
122	#10625063	C₂²	1	1	yes	characteristic, complemented
123	#10625057	C₂²	1	1	yes	characteristic, complemented
124	#10625057	C₂²	1	1	yes	characteristic, complemented
125	#10625056	C₂²	1	1	yes	characteristic, complemented
126	#10625056	C₂²	1	1	yes	characteristic, complemented
127	#10625056	C₂²	1	1	yes	characteristic, complemented
128	#10625056	C₂²	1	1	yes	characteristic, complemented
129	#10625056	C₂²	1	1	yes	characteristic, complemented
130	#10625056	C₂²	1	1	yes	characteristic, complemented
131	#10625055	C₂²	1	1	yes	characteristic, complemented
132	#10625055	C₂²	1	1	yes	characteristic, complemented
133	#10625055	C₂²	1	1	yes	characteristic, complemented
134	#10625055	C₂²	1	1	yes	characteristic, complemented
135	#10625055	C₂²	1	1	yes	characteristic, complemented
136	#10625055	C₂²	1	1	yes	characteristic, complemented
137	#10625055	C₂²	1	1	yes	characteristic, complemented
138	#10625055	C₂²	1	1	yes	characteristic, complemented
139	#10625055	C₂²	1	1	yes	characteristic, complemented
140	#10625055	C₂²	1	1	yes	characteristic, complemented
141	#10625055	C₂²	1	1	yes	characteristic, complemented
142	#10625054	C₂²	1	1	yes	characteristic, complemented
143	#10625054	C₂²	1	1	yes	characteristic, complemented
144	#10625054	C₂²	1	1	yes	characteristic, complemented
145	#10625054	C₂²	1	1	yes	characteristic, complemented
146	#10625054	C₂²	1	1	yes	characteristic, complemented
147	#10625053	C₂²	1	1	yes	characteristic
148	#10625053	C₂²	1	1	yes	characteristic
149	#10625053	C₂²	1	1	yes	characteristic, complemented
150	#10625053	C₂²	1	1	yes	characteristic, complemented
151	#10625053	C₂²	1	1	yes	characteristic, complemented
152	#10625053	C₂²	1	1	yes	characteristic, complemented
153	#10625053	C₂²	1	1	yes	characteristic, complemented
154	#10625053	C₂²	1	1	yes	characteristic, complemented
155	#10625053	C₂²	1	1	yes	characteristic, complemented
156	#10625053	C₂²	1	1	yes	characteristic, complemented
157	#10625053	C₂²	1	1	yes	characteristic, complemented
158	#10625053	C₂²	1	1	yes	characteristic, complemented
159	#10625053	C₂²	1	1	yes	characteristic, complemented
160	#10625053	C₂²	1	1	yes	characteristic, complemented
161	#10625053	C₂²	1	1	yes	characteristic, complemented
162	#10625053	C₂²	1	1	yes	characteristic, complemented
163	#10625053	C₂²	1	1	yes	characteristic, complemented
164	#10625053	C₂²	1	1	yes	characteristic, complemented
165	#10625053	C₂²	1	1	yes	characteristic, complemented
166	#10625053	C₂²	1	1	yes	characteristic, complemented
167	(C₂²⋊D₂₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
172	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
173	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
174	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
175	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
176	#10625050	C₂²	1	1	yes	characteristic, complemented
177	#10625050	C₂²	1	1	yes	characteristic, complemented
178	#10625048	C₂²	1	1	yes	characteristic, complemented
179	#10625047	C₂²	1	1	yes	characteristic, complemented
180	#10625046	C₂²	1	1	yes	characteristic, complemented
181	#10625046	C₂²	1	1	yes	characteristic, complemented
182	#10625045	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₉₂	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₉₂	C₂²	1	1	yes	characteristic, complemented
185	C₄×D₉₂	C₂²	1	1	yes	characteristic, complemented
186	#10625043	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×C₂₃	C₂³	1	1	yes	characteristic
188	C₂³×D₂₃	—	4	2	no	—
189	C₂³×D₂₃	—	4	2	no	—
190	C₂³×D₂₃	—	4	2	no	—
191	C₂³×D₂₃	C₂³	1	1	yes	characteristic
192	C₂³×D₂₃	C₂³	1	1	yes	characteristic
193	C₂³×D₂₃	C₂³	1	1	yes	characteristic
194	C₂³×D₂₃	C₂³	1	1	yes	characteristic
195	C₂³×D₂₃	C₂³	1	1	yes	characteristic
196	C₂³×D₂₃	C₂³	1	1	yes	characteristic
197	C₂³×D₂₃	C₂³	1	1	yes	characteristic
198	C₂³×D₂₃	C₂³	1	1	yes	characteristic
199	C₂³×D₂₃	C₂³	1	1	yes	characteristic
200	C₂³×D₂₃	C₂³	1	1	yes	characteristic, complemented
201	C₂×Q₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
202	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
203	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
204	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
205	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
206	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
207	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
208	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
209	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
212	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
213	C₂×C₂²⋊D₂₃	—	4	2	no	—
214	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic, complemented
231	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic, complemented
232	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic, complemented
233	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic, complemented
234	C₂²×Dic₂₃	C₂³	1	1	yes	characteristic
235	C₂²×Dic₂₃	C₂³	1	1	yes	characteristic, complemented
236	#67292	—	4	2	no	—
237	#67290	—	4	2	no	—
238	D₄×D₂₃	—	4	2	no	—
239	D₄×D₂₃	—	4	2	no	—
240	D₄×D₂₃	—	4	2	no	—
241	D₄×D₂₃	—	4	2	no	—
242	D₄×D₂₃	—	4	2	no	—
243	D₄×D₂₃	—	4	2	no	—
244	D₄×D₂₃	—	4	2	no	—
245	D₄×D₂₃	—	4	2	no	—
246	#67288	—	4	2	no	—
247	C₂×D₉₂	—	4	2	no	—
248	C₂×D₉₂	—	4	2	no	—
249	C₂×D₉₂	—	4	2	no	—
250	C₂×D₉₂	C₂³	1	1	yes	characteristic
251	C₂×D₉₂	C₂³	1	1	yes	characteristic
252	C₂×D₉₂	C₂³	1	1	yes	characteristic
253	C₂×D₉₂	C₂³	1	1	yes	characteristic
254	C₂×D₉₂	C₂³	1	1	yes	characteristic
255	C₂×D₉₂	C₂³	1	1	yes	characteristic
256	C₂×D₉₂	C₂³	1	1	yes	characteristic
257	C₂×D₉₂	C₂³	1	1	yes	characteristic
258	C₂×D₉₂	C₂³	1	1	yes	characteristic
259	C₂×D₉₂	C₂³	1	1	yes	characteristic
260	C₂×D₉₂	C₂³	1	1	yes	characteristic
261	C₂×D₉₂	C₂³	1	1	yes	characteristic
262	C₂×D₉₂	C₂³	1	1	yes	characteristic
263	C₂×D₉₂	C₂³	1	1	yes	characteristic
264	C₂×D₉₂	C₂³	1	1	yes	characteristic, complemented
265	C₂×D₉₂	C₂³	1	1	yes	characteristic, complemented
266	C₂×D₉₂	C₂³	1	1	yes	characteristic, complemented
267	C₂×D₉₂	C₂³	1	1	yes	characteristic, complemented
268	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic, complemented
275	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic, complemented
276	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic, complemented
277	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic, complemented
278	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic, complemented
279	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic, complemented
280	C₂×Dic₄₆	C₂³	1	1	yes	characteristic, complemented
281	C₂×Dic₄₆	C₂³	1	1	yes	characteristic, complemented
282	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
283	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
284	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
285	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
286	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
287	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
288	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
289	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
290	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
291	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
292	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
293	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
294	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
295	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
296	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
297	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
298	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
299	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
300	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
301	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
302	C₄²×C₂₃	C₂³	1	1	yes	characteristic, complemented
303	C₄²×C₂₃	C₂³	1	1	yes	characteristic, complemented
304	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic
305	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic
306	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic
307	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic
308	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic
309	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic
310	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic, complemented
311	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic, complemented
312	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
333	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
334	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
335	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
336	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
337	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
338	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
339	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
340	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
341	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
342	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
343	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
344	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic, complemented
345	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic, complemented
346	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic, complemented
347	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic, complemented
348	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
349	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
350	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
351	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
352	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
353	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
354	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
355	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
356	C₄×Dic₂₃	C₂³	1	1	yes	characteristic, complemented
357	C₄×Dic₂₃	C₂³	1	1	yes	characteristic, complemented
358	C₄×Dic₂₃	C₂³	1	1	yes	characteristic, complemented
359	C₄×Dic₂₃	C₂³	1	1	yes	characteristic, complemented
360	C₂³×C₂₃	—	2	2	no	—
361	C₂³×C₂₃	—	4	1	no	—
362	C₂³×C₂₃	—	4	1	no	—
363	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
364	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
365	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
366	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
367	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
368	C₂²×D₂₃	—	2	2	no	—
369	C₂²×D₂₃	—	2	2	no	—
370	C₂²×D₂₃	—	2	2	no	—
371	C₂²×D₂₃	—	2	2	no	—
372	C₂²×D₂₃	—	2	2	no	—
373	C₂²×D₂₃	—	2	2	no	—
374	C₂²×D₂₃	—	2	2	no	—
375	C₂²×D₂₃	—	2	2	no	—
376	C₂²×D₂₃	—	2	2	no	—
377	C₂²×D₂₃	—	2	2	no	—
378	C₂²×D₂₃	—	2	2	no	—
379	C₂²×D₂₃	—	4	1	no	—
380	C₂²×D₂₃	—	4	1	no	—
381	C₂²×D₂₃	—	4	1	no	—
382	C₂²×D₂₃	—	4	1	no	—
383	C₂²×D₂₃	—	4	1	no	—
384	C₂²×D₂₃	—	4	1	no	—
385	C₂²×D₂₃	—	4	1	no	—
386	C₂²×D₂₃	—	4	1	no	—
387	C₂²×D₂₃	—	4	1	no	—
388	C₂²×D₂₃	—	4	1	no	—
389	C₂²×D₂₃	—	4	1	no	—
390	C₂²×D₂₃	—	4	1	no	—
391	C₂²×D₂₃	—	4	1	no	—
392	C₂²×D₂₃	—	4	1	no	—
393	C₂²×D₂₃	—	4	1	no	—
394	C₂²×D₂₃	—	4	1	no	—
395	C₂²×D₂₃	—	4	1	no	—
396	C₂²×D₂₃	—	4	1	no	—
397	C₂²×D₂₃	—	4	1	no	—
398	C₂²×D₂₃	—	4	16	no	—
399	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
400	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
401	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
402	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
403	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
404	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
405	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
406	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
407	Q₈×C₂₃	—	4	1	no	—
408	D₄×C₂₃	—	2	2	no	—
409	D₄×C₂₃	—	2	2	no	—
410	D₄×C₂₃	—	4	1	no	—
411	D₄×C₂₃	—	4	1	no	—
412	D₄×C₂₃	—	4	1	no	—
413	D₄×C₂₃	—	4	1	no	—
414	D₄×C₂₃	—	4	1	no	—
415	C₂×C₄×C₂₃	—	4	1	no	—
416	C₂×C₄×C₂₃	—	4	1	no	—
417	C₂×C₄×C₂₃	—	4	1	no	—
418	C₂×C₄×C₂₃	—	4	1	no	—
419	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
420	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
421	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
422	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
423	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
424	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
425	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
426	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
427	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
428	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
429	C₂²⋊D₂₃	—	2	2	no	—
430	C₂²⋊D₂₃	—	2	2	no	—
431	C₂²⋊D₂₃	—	2	2	no	—
432	C₂²⋊D₂₃	—	2	2	no	—
433	C₂²⋊D₂₃	—	4	1	no	—
434	C₂²⋊D₂₃	—	4	1	no	—
435	C₂²⋊D₂₃	—	4	1	no	—
436	C₂²⋊D₂₃	—	4	1	no	—
437	C₂²⋊D₂₃	—	4	1	no	—
438	C₂²⋊D₂₃	—	4	1	no	—
439	C₂²⋊D₂₃	—	4	1	no	—
440	C₂²⋊D₂₃	—	4	1	no	—
441	C₂²⋊D₂₃	—	4	1	no	—
442	C₂²⋊D₂₃	—	4	1	no	—
443	C₂²⋊D₂₃	—	4	1	no	—
444	C₂²⋊D₂₃	—	4	1	no	—
445	C₂²⋊D₂₃	—	4	1	no	—
446	C₂²⋊D₂₃	—	4	1	no	—
447	C₂²⋊D₂₃	—	4	1	no	—
448	C₂²⋊D₂₃	—	4	1	no	—
449	C₂×Dic₂₃	—	2	2	no	—
450	C₂×Dic₂₃	—	4	1	no	—
451	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
452	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
453	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
454	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
455	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
456	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
457	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
458	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
459	D₉₂	—	2	2	no	—
460	D₉₂	—	2	2	no	—
461	D₉₂	—	2	2	no	—
462	D₉₂	—	2	2	no	—
463	D₉₂	—	2	2	no	—
464	D₉₂	—	2	2	no	—
465	D₉₂	—	4	1	no	—
466	D₉₂	—	4	1	no	—
467	D₉₂	—	4	1	no	—
468	D₉₂	—	4	1	no	—
469	D₉₂	—	4	1	no	—
470	D₉₂	—	4	1	no	—
471	D₉₂	—	4	1	no	—
472	D₉₂	—	4	1	no	—
473	D₉₂	—	4	1	no	—
474	D₉₂	—	4	1	no	—
475	D₉₂	—	4	1	no	—
476	D₉₂	—	4	1	no	—
477	C₄×D₂₃	—	2	2	no	—
478	C₄×D₂₃	—	2	2	no	—
479	C₄×D₂₃	—	4	1	no	—
480	C₄×D₂₃	—	4	1	no	—
481	C₄×D₂₃	—	4	1	no	—
482	C₄×D₂₃	—	4	1	no	—
483	C₄×D₂₃	—	4	1	no	—
484	C₄×D₂₃	—	4	1	no	—
485	C₄×D₂₃	—	4	1	no	—
486	C₄×D₂₃	—	4	1	no	—
487	C₄×D₂₃	—	4	1	no	—
488	C₄×D₂₃	—	4	1	no	—
489	Dic₄₆	—	4	1	no	—
490	Dic₄₆	—	4	1	no	—
491	#3532	—	23	1	no	maximal, Sylow
492	C₂²×C₂₃	—	2	1	no	—
493	C₂²×C₂₃	—	2	1	no	—
494	C₂²×C₂₃	—	2	1	no	—
495	C₂²×C₂₃	—	2	1	no	—
496	C₂²×C₂₃	—	2	1	no	—
497	C₂²×C₂₃	—	2	1	no	—
498	C₂²×C₂₃	—	2	1	no	—
499	C₂²×C₂₃	—	2	1	no	—
500	C₂²×C₂₃	—	2	1	no	—
501	C₂²×C₂₃	—	2	1	no	—
502	C₂²×C₂₃	—	2	1	no	—
503	C₂²×C₂₃	—	2	1	no	—
504	C₂²×C₂₃	—	2	1	no	—
505	C₂²×C₂₃	—	2	1	no	—
506	C₂²×C₂₃	—	4	4	no	—
507	C₂²×C₂₃	H(5,𝔽₂)	1	2	yes	—
508	C₂²×C₂₃	C₂⁵	1	1	yes	characteristic
509	C₂×D₂₃	—	2	1	no	—
510	C₂×D₂₃	—	2	1	no	—
511	C₂×D₂₃	—	2	1	no	—
512	C₂×D₂₃	—	2	1	no	—
513	C₂×D₂₃	—	2	1	no	—
514	C₂×D₂₃	—	2	1	no	—
515	C₂×D₂₃	—	2	1	no	—
516	C₂×D₂₃	—	2	1	no	—
517	C₂×D₂₃	—	2	1	no	—
518	C₂×D₂₃	—	2	1	no	—
519	C₂×D₂₃	—	2	1	no	—
520	C₂×D₂₃	—	2	1	no	—
521	C₂×D₂₃	—	2	1	no	—
522	C₂×D₂₃	—	2	1	no	—
523	C₂×D₂₃	—	2	1	no	—
524	C₂×D₂₃	—	2	1	no	—
525	C₂×D₂₃	—	2	1	no	—
526	C₂×D₂₃	—	2	1	no	—
527	C₂×D₂₃	—	2	1	no	—
528	C₂×D₂₃	—	2	1	no	—
529	C₂×D₂₃	—	2	1	no	—
530	C₂×D₂₃	—	2	1	no	—
531	C₂×D₂₃	—	4	4	no	—
532	C₂×D₂₃	—	4	4	no	—
533	C₂×D₂₃	—	4	4	no	—
534	C₂×D₂₃	—	4	4	no	—
535	C₂×D₂₃	—	4	4	no	—
536	C₂×D₂₃	—	4	4	no	—
537	C₂×D₂₃	—	8	2	no	—
538	C₂×D₂₃	—	8	2	no	—
539	C₂×D₂₃	—	8	2	no	—
540	C₂×D₂₃	—	8	2	no	—
541	C₂×D₂₃	H(5,𝔽₂)	1	2	yes	—
542	C₂×D₂₃	H(5,𝔽₂)	1	2	yes	—
543	C₄×C₂₃	—	2	1	no	—
544	C₄×C₂₃	—	2	1	no	—
545	C₄×C₂₃	—	2	1	no	—
546	C₄×C₂₃	—	2	1	no	—
547	C₄×C₂₃	—	2	1	no	—
548	C₄×C₂₃	—	2	1	no	—
549	C₄×C₂₃	—	2	1	no	—
550	C₄×C₂₃	—	2	1	no	—
551	C₄×C₂₃	—	2	1	no	—
552	C₄×C₂₃	—	2	1	no	—
553	Dic₂₃	—	2	1	no	—
554	Dic₂₃	—	2	1	no	—
555	Dic₂₃	—	2	1	no	—
556	Dic₂₃	—	2	1	no	—
557	Dic₂₃	—	2	1	no	—
558	Dic₂₃	—	2	1	no	—
559	Dic₂₃	—	2	1	no	—
560	Dic₂₃	—	2	1	no	—
561	H(3,𝔽₄)	—	23	1	no	—
562	#560	—	23	1	no	—
563	#560	—	23	1	no	—
564	#560	—	23	1	no	—
565	#551	—	23	1	no	—
566	#551	—	23	1	no	—
567	#551	—	23	1	no	—
568	#546	—	23	1	no	—
569	#546	—	23	1	no	—
570	#546	—	23	1	no	—
571	#546	—	23	1	no	—
572	#546	—	23	1	no	—
573	#546	—	23	1	no	—
574	D₄²	—	23	1	no	—
575	D₄²	—	23	1	no	—
576	D₄²	—	23	1	no	—
577	#538	—	23	1	no	—
578	#538	—	23	1	no	—
579	#538	—	23	1	no	—
580	#538	—	23	1	no	—
581	#538	—	23	1	no	—
582	#538	D₂₃	1	1	yes	characteristic, complemented
583	#535	—	23	1	no	—
584	#535	—	23	1	no	—
585	#535	—	23	1	no	—
586	#534	—	23	1	no	—
587	#534	—	23	1	no	—
588	#534	—	23	1	no	—
589	C₂×#120	—	23	1	no	—
590	C₂×#120	—	23	1	no	—
591	C₂×#120	—	23	1	no	—
592	C₂×C₂₃	—	2	2	no	—
593	C₂×C₂₃	—	4	1	no	—
594	C₂×C₂₃	—	4	1	no	—
595	C₂×C₂₃	—	4	1	no	—
596	C₂×C₂₃	—	4	1	no	—
597	C₂×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
598	C₂×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
599	C₂×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
600	D₂₃	—	2	2	no	—
601	D₂₃	—	2	2	no	—
602	D₂₃	—	4	1	no	—
603	D₂₃	—	4	1	no	—
604	D₂₃	—	4	1	no	—
605	D₂₃	—	4	1	no	—
606	D₂₃	—	4	1	no	—
607	D₂₃	—	4	1	no	—
608	C₂⁵	—	23	1	no	—
609	C₂×#41	—	23	1	no	—
610	C₂×#41	—	23	1	no	—
611	C₂×#41	—	23	1	no	—
612	C₂²×D₄	—	23	1	no	—
613	C₂²×D₄	—	23	1	no	—
614	C₂²×D₄	—	23	1	no	—
615	C₂²×D₄	—	23	1	no	—
616	C₂²×D₄	—	23	1	no	—
617	C₂²×D₄	—	23	1	no	—
618	C₂²×D₄	—	23	1	no	—
619	C₂²×D₄	—	23	1	no	—
620	C₂²×D₄	—	23	1	no	—
621	C₂²×D₄	—	23	1	no	—
622	C₂²×D₄	—	23	1	no	—
623	C₂²×D₄	—	23	1	no	—
624	#127	—	23	1	no	—
625	#127	—	23	1	no	—
626	#127	—	23	1	no	—
627	#127	—	23	1	no	—
628	#126	—	23	1	no	—
629	#126	—	23	1	no	—
630	#126	—	23	1	no	—
631	#126	—	23	1	no	—
632	#126	—	23	1	no	—
633	#126	—	23	1	no	—
634	#126	C₂×D₂₃	1	1	yes	characteristic, complemented
635	#126	C₂×D₂₃	1	1	yes	characteristic, complemented
636	#124	—	23	1	no	—
637	#124	—	23	1	no	—
638	#124	—	23	1	no	—
639	#124	—	23	1	no	—
640	#124	—	23	1	no	—
641	#124	—	23	1	no	—
642	#124	—	23	1	no	—
643	#124	—	23	1	no	—
644	#124	—	23	1	no	—
645	#124	—	23	1	no	—
646	#124	C₂×D₂₃	1	1	yes	characteristic, complemented
647	#124	C₂×D₂₃	1	1	yes	characteristic, complemented
648	#123	—	23	1	no	—
649	#123	—	23	1	no	—
650	#123	—	23	1	no	—
651	#123	—	23	1	no	—
652	#123	—	23	1	no	—
653	#123	—	23	1	no	—
654	#123	—	23	1	no	—
655	#123	—	23	1	no	—
656	#123	—	23	1	no	—
657	#123	—	23	1	no	—
658	#123	—	23	1	no	—
659	#123	—	23	1	no	—
660	#123	—	23	1	no	—
661	#123	—	23	1	no	—
662	#123	—	23	1	no	—
663	#123	—	23	1	no	—
664	#123	C₂×D₂₃	1	1	yes	characteristic, complemented
665	#123	C₂×D₂₃	1	1	yes	characteristic, complemented
666	C₂²⋊Q₈	—	23	1	no	—
667	C₂²⋊Q₈	—	23	1	no	—
668	C₂²⋊Q₈	—	23	1	no	—
669	C₂²⋊Q₈	—	23	1	no	—
670	C₂²⋊Q₈	—	23	1	no	—
671	C₂²⋊Q₈	C₂×D₂₃	1	1	yes	characteristic, complemented
672	#121	—	23	1	no	—
673	#121	—	23	1	no	—
674	#121	—	23	1	no	—
675	#121	—	23	1	no	—
676	#121	—	23	1	no	—
677	#121	—	23	1	no	—
678	#121	—	23	1	no	—
679	#121	—	23	1	no	—
680	#121	—	23	1	no	—
681	#121	—	23	1	no	—
682	#121	—	23	1	no	—
683	#121	—	23	1	no	—
684	#121	—	23	1	no	—
685	#121	—	23	1	no	—
686	#121	—	23	1	no	—
687	#121	—	23	1	no	—
688	#121	—	23	1	no	—
689	#121	—	23	1	no	—
690	#121	—	23	1	no	—
691	#121	—	23	1	no	—
692	#121	—	23	1	no	—
693	#121	—	23	1	no	—
694	#121	—	23	1	no	—
695	#121	—	23	1	no	—
696	#121	—	23	1	no	—
697	#121	—	23	1	no	—
698	#121	—	23	1	no	—
699	#121	C₂×D₂₃	1	1	yes	characteristic, complemented
700	#121	C₂×D₂₃	1	1	yes	characteristic, complemented
701	#121	C₂×D₂₃	1	1	yes	characteristic, complemented
702	#120	—	23	1	no	—
703	#120	—	23	1	no	—
704	#120	—	23	1	no	—
705	#120	—	23	1	no	—
706	#120	—	23	1	no	—
707	#120	—	23	1	no	—
708	#120	—	23	1	no	—
709	#120	—	23	1	no	—
710	#120	—	23	1	no	—
711	#120	—	23	1	no	—
712	#120	—	23	1	no	—
713	#120	—	23	1	no	—
714	#120	—	23	1	no	—
715	#120	—	23	1	no	—
716	#120	—	23	1	no	—
717	#120	—	23	1	no	—
718	#120	—	23	1	no	—
719	#120	—	23	1	no	—
720	#120	—	23	1	no	—
721	#120	—	23	1	no	—
722	#120	—	23	1	no	—
723	#120	—	23	1	no	—
724	#120	—	23	1	no	—
725	#120	—	23	1	no	—
726	#120	—	23	1	no	—
727	#120	—	23	1	no	—
728	#120	—	23	1	no	—
729	#120	—	23	1	no	—
730	#120	—	23	1	no	—
731	#120	—	23	1	no	—
732	#120	—	23	1	no	—
733	#120	—	23	1	no	—
734	#120	C₂×D₂₃	1	1	yes	characteristic, complemented
735	#120	C₂×D₂₃	1	1	yes	characteristic, complemented
736	C₄×D₄	—	23	1	no	—
737	C₄×D₄	—	23	1	no	—
738	C₄×D₄	—	23	1	no	—
739	C₄×D₄	—	23	1	no	—
740	C₄×D₄	—	23	1	no	—
741	C₄×D₄	—	23	1	no	—
742	C₄×D₄	—	23	1	no	—
743	C₄×D₄	—	23	1	no	—
744	C₄×D₄	—	23	1	no	—
745	C₄×D₄	—	23	1	no	—
746	C₄×D₄	C₂×D₂₃	1	1	yes	characteristic, complemented
747	C₄×D₄	C₂×D₂₃	1	1	yes	characteristic, complemented
748	#117	—	23	1	no	—
749	#117	—	23	1	no	—
750	#117	—	23	1	no	—
751	C₂×C₂²⋊C₄	—	23	1	no	—
752	C₂×C₂²⋊C₄	—	23	1	no	—
753	C₂×C₂²⋊C₄	—	23	1	no	—
754	C₂×C₂²⋊C₄	—	23	1	no	—
755	C₂×C₂²⋊C₄	—	23	1	no	—
756	C₂×C₂²⋊C₄	—	23	1	no	—
757	C₂×C₂²⋊C₄	—	23	1	no	—
758	C₂×C₂²⋊C₄	—	23	1	no	—
759	C₂×C₂²⋊C₄	—	23	1	no	—
760	C₂×C₂²⋊C₄	—	23	1	no	—
761	C₂×C₂²⋊C₄	—	23	1	no	—
762	C₂×C₂²⋊C₄	C₂×D₂₃	1	1	yes	characteristic, complemented
763	C₂₃	#3532	1	1	yes	characteristic, complemented, Sylow
764	C₂⁴	—	23	1	no	—
765	C₂⁴	—	23	1	no	—
766	C₂⁴	—	23	1	no	—
767	C₂⁴	—	23	1	no	—
768	C₂⁴	—	23	1	no	—
769	C₂⁴	—	23	1	no	—
770	C₂⁴	—	23	1	no	—
771	C₂⁴	—	23	1	no	—
772	C₂⁴	—	23	1	no	—
773	C₂⁴	—	23	1	no	—
774	C₂⁴	—	92	2	no	—
775	C₂⁴	—	92	2	no	—
776	C₂⁴	—	92	2	no	—
777	C₂⁴	C₂²×D₂₃	1	1	yes	characteristic
778	#41	—	92	2	no	—
779	#41	—	92	2	no	—
780	#41	—	92	2	no	—
781	C₂×Q₈	—	23	1	no	—
782	C₂×Q₈	—	23	1	no	—
783	C₂×Q₈	C₂²×D₂₃	1	1	yes	characteristic, complemented
784	C₂×D₄	—	23	1	no	—
785	C₂×D₄	—	23	1	no	—
786	C₂×D₄	—	23	1	no	—
787	C₂×D₄	—	23	1	no	—
788	C₂×D₄	—	23	1	no	—
789	C₂×D₄	—	23	1	no	—
790	C₂×D₄	—	23	1	no	—
791	C₂×D₄	—	23	1	no	—
792	C₂×D₄	—	23	1	no	—
793	C₂×D₄	—	23	1	no	—
794	C₂×D₄	—	23	1	no	—
795	C₂×D₄	—	23	1	no	—
796	C₂×D₄	—	23	1	no	—
797	C₂×D₄	—	23	1	no	—
798	C₂×D₄	—	23	1	no	—
799	C₂×D₄	—	23	1	no	—
800	C₂×D₄	—	23	1	no	—
801	C₂×D₄	—	23	1	no	—
802	C₂×D₄	—	23	1	no	—
803	C₂×D₄	—	23	1	no	—
804	C₂×D₄	—	23	1	no	—
805	C₂×D₄	—	23	1	no	—
806	C₂×D₄	—	23	1	no	—
807	C₂×D₄	—	23	1	no	—
808	C₂×D₄	—	23	1	no	—
809	C₂×D₄	—	23	1	no	—
810	C₂×D₄	—	23	1	no	—
811	C₂×D₄	—	23	1	no	—
812	C₂×D₄	—	23	1	no	—
813	C₂×D₄	—	23	1	no	—
814	C₂×D₄	—	23	1	no	—
815	C₂×D₄	—	23	1	no	—
816	C₂×D₄	—	23	1	no	—
817	C₂×D₄	—	23	1	no	—
818	C₂×D₄	—	23	1	no	—
819	C₂×D₄	—	23	1	no	—
820	C₂×D₄	—	23	1	no	—
821	C₂×D₄	—	23	1	no	—
822	C₂×D₄	—	92	2	no	—
823	C₂×D₄	—	92	2	no	—
824	C₂×D₄	—	92	2	no	—
825	C₂×D₄	—	92	2	no	—
826	C₂×D₄	—	92	2	no	—
827	C₂×D₄	—	92	2	no	—
828	C₂×D₄	—	92	2	no	—
829	C₂×D₄	—	92	2	no	—
830	C₂×D₄	—	92	2	no	—
831	C₂×D₄	—	92	2	no	—
832	C₂×D₄	—	92	2	no	—
833	C₂×D₄	—	92	2	no	—
834	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
835	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
836	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
837	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
838	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
839	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
840	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
841	C₂²×C₄	—	23	1	no	—
842	C₂²×C₄	—	23	1	no	—
843	C₂²×C₄	—	23	1	no	—
844	C₂²×C₄	—	23	1	no	—
845	C₂²×C₄	—	23	1	no	—
846	C₂²×C₄	—	23	1	no	—
847	C₂²×C₄	—	23	1	no	—
848	C₂²×C₄	—	23	1	no	—
849	C₂²×C₄	—	23	1	no	—
850	C₂²×C₄	—	23	1	no	—
851	C₂²×C₄	—	23	1	no	—
852	C₂²×C₄	—	23	1	no	—
853	C₂²×C₄	—	23	1	no	—
854	C₂²×C₄	—	23	1	no	—
855	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
856	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
857	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
858	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
859	C₄⋊C₄	—	23	1	no	—
860	C₄⋊C₄	—	23	1	no	—
861	C₄⋊C₄	—	23	1	no	—
862	C₄⋊C₄	—	23	1	no	—
863	C₄⋊C₄	—	23	1	no	—
864	C₄⋊C₄	—	23	1	no	—
865	C₄⋊C₄	—	23	1	no	—
866	C₄⋊C₄	—	23	1	no	—
867	C₄⋊C₄	—	23	1	no	—
868	C₄⋊C₄	—	23	1	no	—
869	C₄⋊C₄	—	23	1	no	—
870	C₄⋊C₄	—	23	1	no	—
871	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
872	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
873	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
874	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
875	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
876	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
877	C₂²⋊C₄	—	23	1	no	—
878	C₂²⋊C₄	—	23	1	no	—
879	C₂²⋊C₄	—	23	1	no	—
880	C₂²⋊C₄	—	23	1	no	—
881	C₂²⋊C₄	—	23	1	no	—
882	C₂²⋊C₄	—	23	1	no	—
883	C₂²⋊C₄	—	23	1	no	—
884	C₂²⋊C₄	—	23	1	no	—
885	C₂²⋊C₄	—	23	1	no	—
886	C₂²⋊C₄	—	23	1	no	—
887	C₂²⋊C₄	—	23	1	no	—
888	C₂²⋊C₄	—	23	1	no	—
889	C₂²⋊C₄	—	23	1	no	—
890	C₂²⋊C₄	—	23	1	no	—
891	C₂²⋊C₄	—	23	1	no	—
892	C₂²⋊C₄	—	23	1	no	—
893	C₂²⋊C₄	—	23	1	no	—
894	C₂²⋊C₄	—	23	1	no	—
895	C₂²⋊C₄	—	23	1	no	—
896	C₂²⋊C₄	—	23	1	no	—
897	C₂²⋊C₄	—	23	1	no	—
898	C₂²⋊C₄	—	23	1	no	—
899	C₂²⋊C₄	—	23	1	no	—
900	C₂²⋊C₄	—	23	1	no	—
901	C₂²⋊C₄	—	23	1	no	—
902	C₂²⋊C₄	—	23	1	no	—
903	C₂²⋊C₄	—	23	1	no	—
904	C₂²⋊C₄	—	23	1	no	—
905	C₂²⋊C₄	—	23	1	no	—
906	C₂²⋊C₄	—	23	1	no	—
907	C₂²⋊C₄	—	23	1	no	—
908	C₂²⋊C₄	—	23	1	no	—
909	C₂²⋊C₄	—	23	1	no	—
910	C₂²⋊C₄	—	23	1	no	—
911	C₂²⋊C₄	—	23	1	no	—
912	C₂²⋊C₄	—	23	1	no	—
913	C₂²⋊C₄	—	23	1	no	—
914	C₂²⋊C₄	—	23	1	no	—
915	C₂²⋊C₄	—	23	1	no	—
916	C₂²⋊C₄	—	23	1	no	—
917	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
918	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
919	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
920	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
921	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
922	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
923	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
924	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
925	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
926	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
927	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
928	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
929	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
930	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic, complemented
931	C₄²	—	23	1	no	—
932	C₄²	—	23	1	no	—
933	C₄²	—	23	1	no	—
934	C₄²	—	23	1	no	—
935	C₄²	C₂²×D₂₃	1	1	yes	characteristic, complemented
936	C₄²	C₂²×D₂₃	1	1	yes	characteristic, complemented
937	C₂³	—	2	2	no	—
938	C₂³	—	4	1	no	—
939	C₂³	—	4	1	no	—
940	C₂³	—	23	1	no	—
941	C₂³	—	23	1	no	—
942	C₂³	—	23	1	no	—
943	C₂³	—	23	1	no	—
944	C₂³	—	23	1	no	—
945	C₂³	—	23	1	no	—
946	C₂³	—	23	1	no	—
947	C₂³	—	23	1	no	—
948	C₂³	—	46	2	no	—
949	C₂³	—	46	2	no	—
950	C₂³	—	46	2	no	—
951	C₂³	—	46	2	no	—
952	C₂³	—	46	2	no	—
953	C₂³	—	46	2	no	—
954	C₂³	—	46	2	no	—
955	C₂³	—	46	2	no	—
956	C₂³	—	46	2	no	—
957	C₂³	—	46	2	no	—
958	C₂³	—	46	2	no	—
959	C₂³	—	92	1	no	—
960	C₂³	—	92	1	no	—
961	C₂³	—	92	1	no	—
962	C₂³	—	92	1	no	—
963	C₂³	—	92	1	no	—
964	C₂³	—	92	1	no	—
965	C₂³	—	92	1	no	—
966	C₂³	—	92	1	no	—
967	C₂³	—	92	1	no	—
968	C₂³	—	92	1	no	—
969	C₂³	—	92	1	no	—
970	C₂³	—	92	1	no	—
971	C₂³	—	92	1	no	—
972	C₂³	—	92	1	no	—
973	C₂³	—	92	1	no	—
974	C₂³	—	92	1	no	—
975	C₂³	—	92	1	no	—
976	C₂³	—	92	1	no	—
977	C₂³	—	92	1	no	—
978	C₂³	—	92	16	no	—
979	C₂³	C₂³×D₂₃	1	1	yes	characteristic
980	C₂³	C₂³×D₂₃	1	1	yes	characteristic
981	C₂³	C₂³×D₂₃	1	1	yes	characteristic
982	C₂³	C₂³×D₂₃	1	1	yes	characteristic
983	C₂³	C₂³×D₂₃	1	1	yes	characteristic
984	Q₈	—	4	1	no	—
985	Q₈	—	92	1	no	—
986	Q₈	—	92	1	no	—
987	D₄	—	2	2	no	—
988	D₄	—	2	2	no	—
989	D₄	—	4	1	no	—
990	D₄	—	4	1	no	—
991	D₄	—	4	1	no	—
992	D₄	—	4	1	no	—
993	D₄	—	4	1	no	—
994	D₄	—	46	2	no	—
995	D₄	—	46	2	no	—
996	D₄	—	46	2	no	—
997	D₄	—	46	2	no	—
998	D₄	—	46	2	no	—
999	D₄	—	46	2	no	—
1000	D₄	—	46	2	no	—
1001	D₄	—	46	2	no	—
1002	D₄	—	46	2	no	—
1003	D₄	—	46	2	no	—
1004	D₄	—	92	1	no	—
1005	D₄	—	92	1	no	—
1006	D₄	—	92	1	no	—
1007	D₄	—	92	1	no	—
1008	D₄	—	92	1	no	—
1009	D₄	—	92	1	no	—
1010	D₄	—	92	1	no	—
1011	D₄	—	92	1	no	—
1012	D₄	—	92	1	no	—
1013	D₄	—	92	1	no	—
1014	D₄	—	92	1	no	—
1015	D₄	—	92	1	no	—
1016	D₄	—	92	1	no	—
1017	D₄	—	92	1	no	—
1018	D₄	—	92	1	no	—
1019	D₄	—	92	1	no	—
1020	D₄	—	92	1	no	—
1021	D₄	—	92	1	no	—
1022	D₄	—	92	1	no	—
1023	D₄	—	92	1	no	—
1024	D₄	—	92	1	no	—
1025	D₄	—	92	1	no	—
1026	D₄	—	92	1	no	—
1027	D₄	—	92	1	no	—
1028	D₄	—	92	1	no	—
1029	D₄	—	92	1	no	—
1030	D₄	—	92	1	no	—
1031	D₄	—	92	1	no	—
1032	C₂×C₄	—	4	1	no	—
1033	C₂×C₄	—	4	1	no	—
1034	C₂×C₄	—	4	1	no	—
1035	C₂×C₄	—	4	1	no	—
1036	C₂×C₄	—	23	1	no	—
1037	C₂×C₄	—	23	1	no	—
1038	C₂×C₄	—	23	1	no	—
1039	C₂×C₄	—	23	1	no	—
1040	C₂×C₄	—	23	1	no	—
1041	C₂×C₄	—	23	1	no	—
1042	C₂×C₄	—	23	1	no	—
1043	C₂×C₄	—	23	1	no	—
1044	C₂×C₄	—	46	2	no	—
1045	C₂×C₄	—	46	2	no	—
1046	C₂×C₄	—	46	2	no	—
1047	C₂×C₄	—	92	1	no	—
1048	C₂×C₄	—	92	1	no	—
1049	C₂×C₄	—	92	1	no	—
1050	C₂×C₄	—	92	1	no	—
1051	C₂×C₄	—	92	1	no	—
1052	C₂×C₄	—	92	1	no	—
1053	C₂×C₄	—	92	1	no	—
1054	C₂×C₄	—	92	1	no	—
1055	C₂×C₄	—	92	1	no	—
1056	C₂×C₄	—	92	1	no	—
1057	C₂×C₄	—	92	1	no	—
1058	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1059	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1060	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1061	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1062	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1063	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1064	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1065	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1066	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1067	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	4	4	no	—
1083	C₂²	—	23	2	no	—
1084	C₂²	—	23	2	no	—
1085	C₂²	—	46	1	no	—
1086	C₂²	—	46	1	no	—
1087	C₂²	—	46	1	no	—
1088	C₂²	—	46	1	no	—
1089	C₂²	—	46	1	no	—
1090	C₂²	—	46	1	no	—
1091	C₂²	—	46	1	no	—
1092	C₂²	—	46	1	no	—
1093	C₂²	—	46	1	no	—
1094	C₂²	—	46	1	no	—
1095	C₂²	—	46	1	no	—
1096	C₂²	—	46	1	no	—
1097	C₂²	—	46	1	no	—
1098	C₂²	—	46	1	no	—
1099	C₂²	—	46	1	no	—
1100	C₂²	—	46	1	no	—
1101	C₂²	—	46	1	no	—
1102	C₂²	—	46	1	no	—
1103	C₂²	—	46	1	no	—
1104	C₂²	—	46	1	no	—
1105	C₂²	—	46	1	no	—
1106	C₂²	—	46	1	no	—
1107	C₂²	—	92	4	no	—
1108	C₂²	—	92	4	no	—
1109	C₂²	—	92	4	no	—
1110	C₂²	—	92	4	no	—
1111	C₂²	—	92	4	no	—
1112	C₂²	—	92	4	no	—
1113	C₂²	—	184	2	no	—
1114	C₂²	—	184	2	no	—
1115	C₂²	—	184	2	no	—
1116	C₂²	—	184	2	no	—
1117	C₂²	#10625160	1	2	yes	—
1118	C₂²	C₂⁴×D₂₃	1	1	yes	characteristic
1119	C₄	—	2	1	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	1	no	—
1129	C₄	—	46	1	no	—
1130	C₄	—	46	1	no	—
1131	C₄	—	46	1	no	—
1132	C₄	—	46	1	no	—
1133	C₄	—	46	1	no	—
1134	C₄	—	46	1	no	—
1135	C₄	—	46	1	no	—
1136	C₄	—	46	1	no	—
1137	C₂	—	2	2	no	—
1138	C₂	—	4	1	no	—
1139	C₂	—	4	1	no	—
1140	C₂	—	4	1	no	—
1141	C₂	—	4	1	no	—
1142	C₂	—	46	2	no	—
1143	C₂	—	46	2	no	—
1144	C₂	—	92	1	no	—
1145	C₂	—	92	1	no	—
1146	C₂	—	92	1	no	—
1147	C₂	—	92	1	no	—
1148	C₂	—	92	1	no	—
1149	C₂	—	92	1	no	—
1150	C₂	H(5,𝔽₂)×D₂₃	1	1	yes	characteristic
1151	C₂	H(5,𝔽₂)×D₂₃	1	1	yes	characteristic
1152	C₂	C₂×#10625160	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₂₃
commutator, socle, cosocle	C₂²×C₂₃	C₂⁵
Fitting	C₂₃×#538	C₂
hypercenter	#538	D₂₃
hypocenter	C₂₃	#3532
LCS	G ▷ C₂²×C₂₃ ▷ C₂₃
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
1. #13093159	C₂	semidirect
2. #13093158	C₂	semidirect
3. #13093157	C₂	semidirect
4. #13093155	C₂	semidirect
5. #13093096	C₂	semidirect
6. #13093094	C₂	semidirect
7. #13093092	C₂	semidirect
8. #13093063	C₂	semidirect
9. #13093062	C₂	semidirect
10. #13093060	C₂	semidirect
11. #13093059	C₂	semidirect
12. #13093058	C₂	semidirect
13. #13093056	C₂	semidirect
14. D₄×D₉₂	C₂	semidirect
15. #13093051	C₂	semidirect
16. #13093051	C₂	semidirect
17. #13093006	C₂	semidirect
18. #13093006	C₂	semidirect
19. #13093005	C₂	semidirect
20. #13093003	C₂	semidirect
21. #13093001	C₂	semidirect
22. #13092985	C₂	semidirect
23. #13092983	C₂	semidirect
24. #13092982	C₂	semidirect
25. #13092978	C₂	semidirect
26. #13092977	C₂	semidirect
27. #13092975	C₂	semidirect
28. C₂×#10625053	C₂	semidirect
29. #120×D₂₃	C₂	semidirect
30. #120×D₂₃	C₂	semidirect
31. C₂₃×#538	C₂	semidirect
32. C₂⁴×D₂₃	C₂²	semidirect
33. C₂²×C₂²⋊D₂₃	C₂²	semidirect
34. C₂×#67292	C₂²	semidirect
35. C₂×#67290	C₂²	semidirect
36. C₂×D₄×D₂₃	C₂²	semidirect
37. C₂×D₄×D₂₃	C₂²	semidirect
38. C₂×D₄×D₂₃	C₂²	semidirect
39. C₂×D₄×D₂₃	C₂²	semidirect
40. C₂×D₄×D₂₃	C₂²	semidirect
41. C₂×D₄×D₂₃	C₂²	semidirect
42. C₂×D₄×D₂₃	C₂²	semidirect
43. C₂×D₄×D₂₃	C₂²	semidirect
44. C₂×#67288	C₂²	semidirect
45. C₂²×D₉₂	C₂²	semidirect
46. C₂²×D₉₂	C₂²	semidirect
47. C₂²×D₉₂	C₂²	semidirect
48. C₂₃×#126	C₂²	semidirect
49. C₂₃×#126	C₂²	semidirect
50. C₂₃×#124	C₂²	semidirect
51. C₂₃×#124	C₂²	semidirect
52. C₂₃×#123	C₂²	semidirect
53. C₂₃×#123	C₂²	semidirect
54. C₂₃×C₂²⋊Q₈	C₂²	semidirect
55. C₂₃×#121	C₂²	semidirect
56. C₂₃×#121	C₂²	semidirect
57. C₂₃×#121	C₂²	semidirect
58. C₂₃×#120	C₂²	semidirect
59. C₂₃×#120	C₂²	semidirect
60. C₄×D₄×C₂₃	C₂²	semidirect
61. C₄×D₄×C₂₃	C₂²	semidirect
62. C₂×C₂²⋊C₄×C₂₃	C₂²	semidirect
63. #10625124	C₂²	semidirect
64. #10625124	C₂²	semidirect
65. #10625118	C₂²	semidirect
66. #10625118	C₂²	semidirect
67. #10625117	C₂²	semidirect
68. #10625111	C₂²	semidirect
69. #10625111	C₂²	semidirect
70. #10625111	C₂²	semidirect
71. #10625110	C₂²	semidirect
72. #10625110	C₂²	semidirect
73. #10625110	C₂²	semidirect
74. #10625109	C₂²	semidirect
75. #10625109	C₂²	semidirect
77. #10625108	C₂²	semidirect
78. #10625108	C₂²	semidirect
79. #10625108	C₂²	semidirect
80. #10625108	C₂²	semidirect
81. #10625108	C₂²	semidirect
82. #10625108	C₂²	semidirect
83. #10625108	C₂²	semidirect
84. #10625108	C₂²	semidirect
85. #10625108	C₂²	semidirect
86. #10625106	C₂²	semidirect
87. #10625101	C₂²	semidirect
88. #10625101	C₂²	semidirect
89. #10625101	C₂²	semidirect
90. #10625101	C₂²	semidirect
91. #10625100	C₂²	semidirect
92. C₄×C₂²⋊D₂₃	C₂²	semidirect
93. C₄×C₂²⋊D₂₃	C₂²	semidirect
94. C₄×C₂²⋊D₂₃	C₂²	semidirect
95. C₂×(C₂×D₂₃)⋊C₄	C₂²	semidirect
96. C₂×(C₂×D₂₃)⋊C₄	C₂²	semidirect
97. C₂×(C₂×D₂₃)⋊C₄	C₂²	semidirect
98. #10625095	C₂²	semidirect
99. #10625069	C₂²	semidirect
100. #10625069	C₂²	semidirect
101. #10625069	C₂²	semidirect
102. #10625068	C₂²	semidirect
103. #10625067	C₂²	semidirect
104. #10625067	C₂²	semidirect
105. #10625066	C₂²	semidirect
106. #10625066	C₂²	semidirect
107. #10625066	C₂²	semidirect
108. #10625066	C₂²	semidirect
109. #10625066	C₂²	semidirect
110. #10625066	C₂²	semidirect
111. #10625066	C₂²	semidirect
112. #10625065	C₂²	semidirect
113. #10625065	C₂²	semidirect
114. #10625065	C₂²	semidirect
115. #10625065	C₂²	semidirect
116. #10625065	C₂²	semidirect
117. #10625065	C₂²	semidirect
118. #10625065	C₂²	semidirect
119. #10625064	C₂²	semidirect
120. #10625064	C₂²	semidirect
121. #10625064	C₂²	semidirect
122. #10625063	C₂²	semidirect
123. #10625057	C₂²	semidirect
124. #10625057	C₂²	semidirect
125. #10625056	C₂²	semidirect
126. #10625056	C₂²	semidirect
127. #10625056	C₂²	semidirect
128. #10625056	C₂²	semidirect
129. #10625056	C₂²	semidirect
130. #10625056	C₂²	semidirect
131. #10625055	C₂²	semidirect
132. #10625055	C₂²	semidirect
133. #10625055	C₂²	semidirect
134. #10625055	C₂²	semidirect
135. #10625055	C₂²	semidirect
136. #10625055	C₂²	semidirect
137. #10625055	C₂²	semidirect
138. #10625055	C₂²	semidirect
139. #10625055	C₂²	semidirect
140. #10625055	C₂²	semidirect
141. #10625055	C₂²	semidirect
142. #10625054	C₂²	semidirect
143. #10625054	C₂²	semidirect
144. #10625054	C₂²	semidirect
145. #10625054	C₂²	semidirect
146. #10625054	C₂²	semidirect
149. #10625053	C₂²	semidirect
150. #10625053	C₂²	semidirect
151. #10625053	C₂²	semidirect
152. #10625053	C₂²	semidirect
153. #10625053	C₂²	semidirect
154. #10625053	C₂²	semidirect
155. #10625053	C₂²	semidirect
156. #10625053	C₂²	semidirect
157. #10625053	C₂²	semidirect
158. #10625053	C₂²	semidirect
159. #10625053	C₂²	semidirect
160. #10625053	C₂²	semidirect
161. #10625053	C₂²	semidirect
162. #10625053	C₂²	semidirect
163. #10625053	C₂²	semidirect
164. #10625053	C₂²	semidirect
165. #10625053	C₂²	semidirect
166. #10625053	C₂²	semidirect
167. (C₂²⋊D₂₃)⋊C₄	C₂²	semidirect
168. C₂²⋊C₄×D₂₃	C₂²	semidirect
169. C₂²⋊C₄×D₂₃	C₂²	semidirect
170. C₂²⋊C₄×D₂₃	C₂²	semidirect
171. C₂²⋊C₄×D₂₃	C₂²	semidirect
172. C₂²⋊C₄×D₂₃	C₂²	semidirect
173. C₂²⋊C₄×D₂₃	C₂²	semidirect
174. C₂²⋊C₄×D₂₃	C₂²	semidirect
175. C₂²⋊C₄×D₂₃	C₂²	semidirect
176. #10625050	C₂²	semidirect
177. #10625050	C₂²	semidirect
178. #10625048	C₂²	semidirect
179. #10625047	C₂²	semidirect
180. #10625046	C₂²	semidirect
181. #10625046	C₂²	semidirect
182. #10625045	C₂²	semidirect
183. C₄×D₉₂	C₂²	semidirect
184. C₄×D₉₂	C₂²	semidirect
185. C₄×D₉₂	C₂²	semidirect
186. #10625043	C₂²	semidirect
200. C₂³×D₂₃	C₂³	semidirect
201. C₂×Q₈×C₂₃	C₂³	semidirect
208. C₂×D₄×C₂₃	C₂³	semidirect
211. C₂²×C₄×C₂₃	C₂³	semidirect
212. C₂²×C₄×C₂₃	C₂³	semidirect
230. C₂×C₂²⋊D₂₃	C₂³	semidirect
231. C₂×C₂²⋊D₂₃	C₂³	semidirect
232. C₂×C₂²⋊D₂₃	C₂³	semidirect
233. C₂×C₂²⋊D₂₃	C₂³	semidirect
235. C₂²×Dic₂₃	C₂³	semidirect
264. C₂×D₉₂	C₂³	semidirect
265. C₂×D₉₂	C₂³	semidirect
266. C₂×D₉₂	C₂³	semidirect
267. C₂×D₉₂	C₂³	semidirect
274. C₂×C₄×D₂₃	C₂³	semidirect
275. C₂×C₄×D₂₃	C₂³	semidirect
276. C₂×C₄×D₂₃	C₂³	semidirect
277. C₂×C₄×D₂₃	C₂³	semidirect
278. C₂×C₄×D₂₃	C₂³	semidirect
279. C₂×C₄×D₂₃	C₂³	semidirect
280. C₂×Dic₄₆	C₂³	semidirect
281. C₂×Dic₄₆	C₂³	semidirect
282. C₄⋊C₄×C₂₃	C₂³	semidirect
283. C₄⋊C₄×C₂₃	C₂³	semidirect
284. C₄⋊C₄×C₂₃	C₂³	semidirect
285. C₄⋊C₄×C₂₃	C₂³	semidirect
286. C₄⋊C₄×C₂₃	C₂³	semidirect
287. C₄⋊C₄×C₂₃	C₂³	semidirect
298. C₂²⋊C₄×C₂₃	C₂³	semidirect
299. C₂²⋊C₄×C₂₃	C₂³	semidirect
300. C₂²⋊C₄×C₂₃	C₂³	semidirect
301. C₂²⋊C₄×C₂₃	C₂³	semidirect
302. C₄²×C₂₃	C₂³	semidirect
303. C₄²×C₂₃	C₂³	semidirect
310. C₂²⋊Dic₂₃	C₂³	semidirect
311. C₂²⋊Dic₂₃	C₂³	semidirect
332. (C₂×D₂₃)⋊C₄	C₂³	semidirect
333. (C₂×D₂₃)⋊C₄	C₂³	semidirect
334. (C₂×D₂₃)⋊C₄	C₂³	semidirect
335. (C₂×D₂₃)⋊C₄	C₂³	semidirect
336. (C₂×D₂₃)⋊C₄	C₂³	semidirect
337. (C₂×D₂₃)⋊C₄	C₂³	semidirect
338. (C₂×D₂₃)⋊C₄	C₂³	semidirect
339. (C₂×D₂₃)⋊C₄	C₂³	semidirect
340. (C₂×D₂₃)⋊C₄	C₂³	semidirect
341. (C₂×D₂₃)⋊C₄	C₂³	semidirect
342. (C₂×D₂₃)⋊C₄	C₂³	semidirect
343. (C₂×D₂₃)⋊C₄	C₂³	semidirect
344. C₄⋊Dic₂₃	C₂³	semidirect
345. C₄⋊Dic₂₃	C₂³	semidirect
346. C₄⋊Dic₂₃	C₂³	semidirect
347. C₄⋊Dic₂₃	C₂³	semidirect
348. Dic₂₃⋊C₄	C₂³	semidirect
349. Dic₂₃⋊C₄	C₂³	semidirect
350. Dic₂₃⋊C₄	C₂³	semidirect
351. Dic₂₃⋊C₄	C₂³	semidirect
352. Dic₂₃⋊C₄	C₂³	semidirect
353. Dic₂₃⋊C₄	C₂³	semidirect
354. Dic₂₃⋊C₄	C₂³	semidirect
355. Dic₂₃⋊C₄	C₂³	semidirect
356. C₄×Dic₂₃	C₂³	semidirect
357. C₄×Dic₂₃	C₂³	semidirect
358. C₄×Dic₂₃	C₂³	semidirect
359. C₄×Dic₂₃	C₂³	semidirect
582. #538	D₂₃	semidirect
634. #126	C₂×D₂₃	semidirect
635. #126	C₂×D₂₃	semidirect
646. #124	C₂×D₂₃	semidirect
647. #124	C₂×D₂₃	semidirect
664. #123	C₂×D₂₃	semidirect
665. #123	C₂×D₂₃	semidirect
671. C₂²⋊Q₈	C₂×D₂₃	semidirect
699. #121	C₂×D₂₃	semidirect
700. #121	C₂×D₂₃	semidirect
701. #121	C₂×D₂₃	semidirect
734. #120	C₂×D₂₃	semidirect
735. #120	C₂×D₂₃	semidirect
746. C₄×D₄	C₂×D₂₃	semidirect
747. C₄×D₄	C₂×D₂₃	semidirect
762. C₂×C₂²⋊C₄	C₂×D₂₃	semidirect
763. C₂₃	#3532	semidirect
783. C₂×Q₈	C₂²×D₂₃	semidirect
840. C₂×D₄	C₂²×D₂₃	semidirect
857. C₂²×C₄	C₂²×D₂₃	semidirect
858. C₂²×C₄	C₂²×D₂₃	semidirect
871. C₄⋊C₄	C₂²×D₂₃	semidirect
872. C₄⋊C₄	C₂²×D₂₃	semidirect
873. C₄⋊C₄	C₂²×D₂₃	semidirect
874. C₄⋊C₄	C₂²×D₂₃	semidirect
875. C₄⋊C₄	C₂²×D₂₃	semidirect
876. C₄⋊C₄	C₂²×D₂₃	semidirect
927. C₂²⋊C₄	C₂²×D₂₃	semidirect
928. C₂²⋊C₄	C₂²×D₂₃	semidirect
929. C₂²⋊C₄	C₂²×D₂₃	semidirect
930. C₂²⋊C₄	C₂²×D₂₃	semidirect
935. C₄²	C₂²×D₂₃	semidirect
936. C₄²	C₂²×D₂₃	semidirect

Maximal subgroups

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

subgroup	index
#13093159	2
#13093158	2
#13093157	2
#13093155	2
#13093096	2
#13093094	2
#13093092	2
#13093063	2
#13093062	2
#13093060	2
#13093059	2
#13093058	2
#13093056	2
D₄×D₉₂	2
#13093051	2
#13093006	2
#13093005	2
#13093003	2
#13093001	2
#13092985	2
#13092983	2
#13092982	2
#13092978	2
#13092977	2
#13092975	2
C₂×#10625053	2
#120×D₂₃	2
C₂₃×#538	2
#3532	23