Subgroups — C₂₃×#62596 #19210222

Order 5888.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1036 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3563	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3543	C₂	1	1	yes	maximal, characteristic
3	C₂₃×#3371	C₂	1	2	yes	maximal, complemented
4	C₂₃×#3368	C₂	1	2	yes	maximal, complemented
5	C₂₃×#3317	C₂	1	2	yes	maximal, complemented
6	C₂₃×#3314	C₂	1	2	yes	maximal, complemented
7	C₂₃×#3310	C₂	1	2	yes	maximal, complemented
8	C₂₃×#3310	C₂	1	2	yes	maximal, complemented
9	C₂₃×#3296	C₂	1	2	yes	maximal, complemented
10	C₂₃×#3295	C₂	1	2	yes	maximal, complemented
11	C₂₃×#3241	C₂	1	2	yes	maximal, complemented
12	C₂₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#3222	C₂	1	2	yes	maximal, complemented
14	C₂₃×#3208	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#3174	C₂	1	2	yes	maximal, complemented
17	C₂₃×#3136	C₂	1	2	yes	maximal, complemented
18	C₂×C₂₃×#490	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#564	—	2	1	no	—
21	C₂₃×#563	—	2	1	no	—
22	C₂₃×#560	—	2	2	no	—
23	C₂₃×#559	C₂²	1	1	yes	characteristic
24	C₂₃×#557	C₂²	1	2	yes	complemented
25	C₂₃×#554	C₂²	1	2	yes	complemented
26	C₂₃×#552	—	2	2	no	—
27	C₂₃×#552	C₂²	1	2	yes	complemented
28	C₂₃×#552	C₂²	1	2	yes	complemented
29	C₂₃×#550	C₂²	1	1	yes	characteristic
30	C₂₃×#550	C₂²	1	1	yes	characteristic
31	C₂₃×#546	—	2	1	no	—
32	C₂₃×#546	C₂²	1	2	yes	—
33	D₄²×C₂₃	—	2	1	no	—
34	D₄²×C₂₃	C₂²	1	2	yes	—
35	D₄²×C₂₃	C₂²	1	1	yes	characteristic
36	C₂₃×#544	—	2	1	no	—
37	C₂₃×#544	C₂²	1	2	yes	complemented
38	C₂₃×#541	—	2	2	no	—
39	C₂₃×#541	C₂²	1	2	yes	complemented
40	C₂₃×#540	—	2	1	no	—
41	C₂₃×#540	C₂²	1	2	yes	—
42	C₂₃×#539	—	2	1	no	—
43	C₂₃×#535	—	2	1	no	—
44	C₂₃×#535	C₂²	1	2	yes	—
45	C₂₃×#534	—	2	2	no	—
46	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₂₃×#127	C₂²	1	1	yes	characteristic
48	C₂₃×#529	C₂²	1	1	yes	characteristic
49	C₂₃×#529	C₂²	1	1	yes	characteristic
50	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
51	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
52	C₂₃×#499	C₂²	1	2	yes	complemented
53	C₂₃×#497	C₂²	1	1	yes	characteristic, complemented
54	C₂₃×#492	C₂²	1	2	yes	complemented
55	C₂₃×#491	C₂²	1	1	yes	characteristic, complemented
56	C₂₃×#490	C₂²	1	2	yes	—
57	C₂₃×#490	C₂²	1	2	yes	complemented
58	C₂₃×#490	C₂²	1	2	yes	complemented
59	C₂₃×#490	C₂²	1	2	yes	complemented
60	C₂₃×#490	C₂²	1	2	yes	complemented
61	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
62	C₂₃×#489	C₂²	1	2	yes	complemented
63	C₂₃×#488	C₂²	1	2	yes	complemented
64	C₂₃×#488	C₂²	1	2	yes	complemented
65	C₂₃×#486	C₂²	1	2	yes	complemented
66	C₂₃×#486	C₂²	1	2	yes	complemented
67	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
68	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
69	C₂₃×#482	C₂²	1	2	yes	complemented
70	C₂₃×#482	C₂²	1	2	yes	complemented
71	C₂₃×#481	C₂²	1	1	yes	characteristic
72	C₂₃×#481	C₂²	1	2	yes	complemented
73	C₂₃×#480	C₂²	1	1	yes	characteristic
74	C₂₃×#480	C₂²	1	2	yes	complemented
75	C₂₃×#479	C₂²	1	2	yes	complemented
76	C₂₃×#478	C₂²	1	2	yes	complemented
77	C₂₃×#478	C₂²	1	2	yes	complemented
78	C₂₃×#478	C₂²	1	2	yes	complemented
79	C₂₃×#476	C₂²	1	2	yes	complemented
80	C₂₃×#474	C₂²	1	2	yes	complemented
81	C₂₃×#468	C₂²	1	2	yes	complemented
82	C₂₃×#468	C₂²	1	2	yes	complemented
83	C₂₃×#467	C₂²	1	2	yes	complemented
84	C₂₃×#465	C₂²	1	2	yes	—
85	C₂₃×#465	C₂²	1	2	yes	complemented
86	C₂₃×#465	C₂²	1	2	yes	complemented
87	C₂₃×#464	C₂²	1	2	yes	complemented
88	C₂₃×#464	C₂²	1	2	yes	complemented
89	C₂₃×#460	C₂²	1	2	yes	—
90	C₂₃×#460	C₂²	1	2	yes	complemented
91	C₂₃×#460	C₂²	1	2	yes	complemented
92	C₂₃×#460	C₂²	1	2	yes	complemented
93	C₂₃×#452	C₂²	1	2	yes	complemented
94	C₂₃×#452	C₂²	1	2	yes	complemented
95	C₂₃×#450	C₂²	1	2	yes	complemented
96	C₂₃×#450	C₂²	1	2	yes	complemented
97	C₂₃×#450	C₂²	1	2	yes	complemented
98	C₂₃×#450	C₂²	1	2	yes	complemented
99	C₂₃×#446	C₂²	1	2	yes	complemented
100	C₂₃×#441	C₂²	1	2	yes	complemented
101	C₂₃×#440	C₂²	1	2	yes	complemented
102	C₂₃×#440	C₂²	1	2	yes	complemented
103	C₂₃×#440	C₂²	1	2	yes	complemented
104	C₄×SD₁₆×C₂₃	C₂²	1	2	yes	complemented
105	C₄×SD₁₆×C₂₃	C₂²	1	2	yes	complemented
106	C₂₃×#435	C₂²	1	2	yes	complemented
107	C₂₃×#435	C₂²	1	2	yes	complemented
108	C₈×D₄×C₂₃	C₂²	1	2	yes	complemented
109	C₂₃×#433	C₂²	1	2	yes	complemented
110	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#418	C₂²	1	2	yes	complemented
112	C₂₃×#417	C₂²	1	2	yes	complemented
113	C₂₃×#416	C₂²	1	2	yes	complemented
114	C₂×C₂₃×#102	C₂²	1	2	yes	complemented
115	C₂×C₂₃×#102	C₂²	1	2	yes	complemented
116	C₂×C₂₃×#102	C₂²	1	2	yes	complemented
117	C₂₃×#405	C₂²	1	2	yes	complemented
118	C₂×C₂₃×#97	C₂²	1	1	yes	characteristic, complemented
119	C₂×#41×C₂₃	—	2	1	no	—
120	C₂×#41×C₂₃	C₂³	1	2	yes	—
121	C₂²×D₄×C₂₃	—	2	2	no	—
122	C₂²×D₄×C₂₃	—	2	1	no	—
123	C₂²×D₄×C₂₃	—	2	1	no	—
124	C₂²×D₄×C₂₃	—	2	1	no	—
125	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
126	C₂²×D₄×C₂₃	C₂³	1	2	yes	—
127	C₂×Q₁₆×C₂₃	C₂³	1	2	yes	—
128	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
131	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
132	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
133	C₂×M₁₆×C₂₃	C₂³	1	2	yes	—
134	C₂²×C₈×C₂₃	C₂³	1	2	yes	—
135	C₂²×C₈×C₂₃	C₂³	1	2	yes	—
136	C₂₃×C₄⋊Q₈	—	2	2	no	—
137	C₂₃×C₄⋊Q₈	—	2	2	no	—
138	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
139	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
140	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
141	C₂₃×#127	—	2	1	no	—
142	C₂₃×#127	—	2	1	no	—
143	C₂₃×#127	—	2	1	no	—
144	C₂₃×#127	C₂³	1	1	yes	characteristic
145	C₂₃×#127	C₂³	1	2	yes	—
146	C₂₃×#127	C₂³	1	1	yes	characteristic
147	C₂₃×#127	C₂³	1	2	yes	—
148	C₂₃×#126	—	2	2	no	—
149	C₂₃×#126	—	2	2	no	—
150	C₂₃×#126	—	2	2	no	—
151	C₂₃×#126	—	2	2	no	—
152	C₂₃×#126	—	2	1	no	—
153	C₂₃×#126	D₄	1	2	yes	—
154	C₂₃×#125	—	2	2	no	—
155	C₂₃×#125	—	2	2	no	—
156	C₂₃×#125	—	2	2	no	—
157	C₂₃×#125	—	2	2	no	—
158	C₂₃×#125	—	2	2	no	—
159	C₂₃×#125	—	2	2	no	—
160	C₂₃×#125	—	2	2	no	—
161	C₂₃×#125	—	2	2	no	—
162	C₂₃×#125	—	2	1	no	—
163	C₂₃×#125	—	2	1	no	—
164	C₂₃×#125	—	2	1	no	—
165	C₂₃×#125	D₄	1	1	yes	characteristic
166	C₂₃×#125	C₂³	1	2	yes	—
167	C₂₃×#125	C₂³	1	2	yes	—
168	C₂₃×#125	C₂³	1	2	yes	—
169	C₂₃×#125	C₂³	1	1	yes	characteristic
170	C₂₃×#124	—	2	1	no	—
171	C₂₃×#124	D₄	1	1	yes	characteristic
172	C₂₃×#124	C₂³	1	2	yes	—
173	C₂₃×#124	C₂³	1	1	yes	characteristic
174	C₂₃×#123	—	2	2	no	—
175	C₂₃×#123	—	2	2	no	—
176	C₂₃×#123	—	2	1	no	—
177	C₂₃×#123	—	2	2	no	—
178	C₂₃×#123	—	2	2	no	—
179	C₂₃×#123	—	2	2	no	—
180	C₂₃×#123	—	2	2	no	—
181	C₂₃×#123	D₄	1	2	yes	—
182	C₂₃×C₂²⋊Q₈	—	2	1	no	—
183	C₂₃×C₂²⋊Q₈	—	2	2	no	—
184	C₂₃×C₂²⋊Q₈	—	2	2	no	—
185	C₂₃×C₂²⋊Q₈	—	2	2	no	—
186	C₂₃×C₂²⋊Q₈	—	2	2	no	—
187	C₂₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
188	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
189	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
190	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
191	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
192	C₂₃×#121	—	2	2	no	—
193	C₂₃×#121	—	2	1	no	—
194	C₂₃×#121	—	2	2	no	—
195	C₂₃×#121	—	2	2	no	—
196	C₂₃×#121	—	2	2	no	—
197	C₂₃×#121	—	2	1	no	—
198	C₂₃×#121	—	2	2	no	—
199	C₂₃×#121	—	2	2	no	—
200	C₂₃×#121	—	2	2	no	—
201	C₂₃×#121	—	2	2	no	—
202	C₂₃×#121	D₄	1	1	yes	characteristic
203	C₂₃×#121	C₂³	1	2	yes	—
204	C₂₃×#121	C₂³	1	1	yes	characteristic
205	C₂₃×#121	C₂³	1	2	yes	—
206	C₂₃×#120	—	2	2	no	—
207	C₂₃×#120	—	2	2	no	—
208	C₂₃×#120	—	2	2	no	—
209	C₂₃×#120	—	2	2	no	—
210	C₂₃×#120	—	2	2	no	—
211	C₂₃×#120	—	2	2	no	—
212	C₄×Q₈×C₂₃	—	2	2	no	—
213	C₄×Q₈×C₂₃	—	2	1	no	—
214	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
215	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
216	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
217	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
218	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
219	C₄×D₄×C₂₃	—	2	2	no	—
220	C₄×D₄×C₂₃	—	2	1	no	—
221	C₄×D₄×C₂₃	—	2	1	no	—
222	C₄×D₄×C₂₃	—	2	1	no	—
223	C₄×D₄×C₂₃	C₂³	1	2	yes	—
224	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
225	C₄×D₄×C₂₃	C₂³	1	2	yes	—
226	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₂₃	C₂³	1	2	yes	—
228	C₂₃×#117	—	2	1	no	—
229	C₂₃×#117	—	2	2	no	—
230	C₂₃×#117	—	2	2	no	—
231	C₂₃×#117	—	2	1	no	—
232	C₂₃×#117	C₂³	1	2	yes	—
233	C₂₃×#117	C₂³	1	2	yes	—
234	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
235	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
236	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
238	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊C₄×C₂₃	—	2	2	no	—
240	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
241	C₂₃×#107	C₂³	1	2	yes	—
242	C₂₃×#107	C₂³	1	2	yes	—
243	C₂₃×#107	C₂³	1	2	yes	—
244	C₂₃×#106	C₂³	1	2	yes	—
245	C₂₃×#106	C₂³	1	2	yes	—
246	C₂₃×#106	C₂³	1	2	yes	—
247	C₂₃×C₄⋊C₈	C₂³	1	2	yes	—
248	C₂₃×C₄⋊C₈	C₂³	1	2	yes	—
249	C₂₃×C₄⋊C₈	C₂³	1	2	yes	—
250	C₂₃×#103	C₂³	1	2	yes	—
251	C₂₃×#103	C₂³	1	2	yes	—
252	C₂₃×#103	C₂³	1	2	yes	—
253	C₂₃×#103	C₂³	1	2	yes	—
254	C₂₃×#103	C₂³	1	2	yes	—
255	C₂₃×#102	C₂³	1	2	yes	—
256	C₂₃×#102	C₂³	1	2	yes	—
257	C₂₃×#102	C₂³	1	2	yes	—
258	C₂₃×#102	C₂³	1	2	yes	—
259	C₂₃×#102	C₂³	1	2	yes	—
260	C₂₃×#102	C₂³	1	2	yes	—
261	C₂₃×#102	C₂³	1	2	yes	—
262	C₂₃×#102	C₂³	1	2	yes	—
263	C₂₃×#102	C₂³	1	2	yes	—
264	C₂₃×#102	C₂³	1	2	yes	—
265	C₂₃×#102	C₂³	1	2	yes	—
266	C₂₃×#102	C₂³	1	2	yes	—
267	C₂₃×#102	C₂³	1	2	yes	—
268	C₂₃×#102	C₂³	1	2	yes	—
269	C₂₃×#102	C₂³	1	2	yes	—
270	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
272	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
273	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
274	C₂₃×#97	C₂³	1	1	yes	characteristic
275	C₂₃×#97	C₂³	1	1	yes	characteristic
276	C₂₃×#97	C₂³	1	2	yes	—
277	C₂₃×#97	C₂³	1	2	yes	—
278	C₄×C₈×C₂₃	C₂³	1	2	yes	—
279	C₄×C₈×C₂₃	C₂³	1	2	yes	—
280	C₂⁴×C₂₃	—	2	2	no	—
281	C₂⁴×C₂₃	—	2	2	no	—
282	#41×C₂₃	—	4	2	no	—
283	#41×C₂₃	—	4	2	no	—
284	#41×C₂₃	—	8	2	no	—
285	C₂×Q₈×C₂₃	—	2	1	no	—
286	C₂×Q₈×C₂₃	—	2	2	no	—
287	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
288	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
289	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
290	C₂×D₄×C₂₃	—	2	1	no	—
291	C₂×D₄×C₂₃	—	2	2	no	—
292	C₂×D₄×C₂₃	—	2	2	no	—
293	C₂×D₄×C₂₃	—	2	2	no	—
294	C₂×D₄×C₂₃	—	2	1	no	—
295	C₂×D₄×C₂₃	—	2	1	no	—
296	C₂×D₄×C₂₃	—	2	2	no	—
297	C₂×D₄×C₂₃	—	2	2	no	—
298	C₂×D₄×C₂₃	—	2	1	no	—
299	C₂×D₄×C₂₃	—	2	2	no	—
300	C₂×D₄×C₂₃	—	2	2	no	—
301	C₂×D₄×C₂₃	—	2	2	no	—
302	C₂×D₄×C₂₃	—	2	2	no	—
303	C₂×D₄×C₂₃	—	2	1	no	—
304	C₂×D₄×C₂₃	—	4	2	no	—
305	C₂×D₄×C₂₃	—	4	2	no	—
306	C₂×D₄×C₂₃	—	4	2	no	—
307	C₂×D₄×C₂₃	—	4	2	no	—
308	C₂×D₄×C₂₃	—	8	2	no	—
309	C₂×D₄×C₂₃	—	8	2	no	—
310	C₂×D₄×C₂₃	—	8	2	no	—
311	C₂×D₄×C₂₃	—	8	4	no	—
312	C₂×D₄×C₂₃	C₂×D₄	1	2	yes	—
313	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
314	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
315	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
316	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₂₃	—	2	1	no	—
318	C₂²×C₄×C₂₃	—	2	1	no	—
319	C₂²×C₄×C₂₃	—	2	2	no	—
320	C₂²×C₄×C₂₃	—	2	1	no	—
321	C₂²×C₄×C₂₃	—	2	2	no	—
322	C₂²×C₄×C₂₃	—	2	2	no	—
323	C₂²×C₄×C₂₃	—	2	2	no	—
324	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
325	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
328	Q₁₆×C₂₃	—	4	2	no	—
329	SD₁₆×C₂₃	—	4	2	no	—
330	SD₁₆×C₂₃	—	4	2	no	—
331	SD₁₆×C₂₃	—	4	2	no	—
332	SD₁₆×C₂₃	—	4	2	no	—
333	SD₁₆×C₂₃	—	4	2	no	—
334	M₁₆×C₂₃	—	4	2	no	—
335	C₂×C₈×C₂₃	—	4	2	no	—
336	C₂×C₈×C₂₃	—	4	2	no	—
337	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
338	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
339	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
340	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
341	C₄⋊C₄×C₂₃	—	2	2	no	—
342	C₄⋊C₄×C₂₃	—	2	2	no	—
343	C₄⋊C₄×C₂₃	—	2	2	no	—
344	C₄⋊C₄×C₂₃	—	2	2	no	—
345	C₄⋊C₄×C₂₃	—	2	1	no	—
346	C₄⋊C₄×C₂₃	—	2	2	no	—
347	C₄⋊C₄×C₂₃	—	2	1	no	—
348	C₄⋊C₄×C₂₃	—	2	1	no	—
349	C₄⋊C₄×C₂₃	—	2	1	no	—
350	C₄⋊C₄×C₂₃	—	2	1	no	—
351	C₄⋊C₄×C₂₃	—	2	2	no	—
352	C₄⋊C₄×C₂₃	—	2	2	no	—
353	C₄⋊C₄×C₂₃	—	2	2	no	—
354	C₄⋊C₄×C₂₃	—	2	1	no	—
355	C₄⋊C₄×C₂₃	—	2	1	no	—
356	C₄⋊C₄×C₂₃	—	2	2	no	—
357	C₄⋊C₄×C₂₃	—	2	2	no	—
358	C₄⋊C₄×C₂₃	—	2	2	no	—
359	C₄⋊C₄×C₂₃	—	2	1	no	—
360	C₄⋊C₄×C₂₃	—	2	1	no	—
361	C₄⋊C₄×C₂₃	—	2	2	no	—
362	C₄⋊C₄×C₂₃	—	2	2	no	—
363	C₄⋊C₄×C₂₃	—	2	2	no	—
364	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
365	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
366	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
367	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
368	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
369	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
370	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
371	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
372	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
373	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
374	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
375	C₂²⋊C₄×C₂₃	—	2	1	no	—
376	C₂²⋊C₄×C₂₃	—	2	2	no	—
377	C₂²⋊C₄×C₂₃	—	2	2	no	—
378	C₂²⋊C₄×C₂₃	—	2	2	no	—
379	C₂²⋊C₄×C₂₃	—	2	2	no	—
380	C₂²⋊C₄×C₂₃	—	2	2	no	—
381	C₂²⋊C₄×C₂₃	—	2	2	no	—
382	C₂²⋊C₄×C₂₃	—	2	1	no	—
383	C₂²⋊C₄×C₂₃	—	2	1	no	—
384	C₂²⋊C₄×C₂₃	—	2	1	no	—
385	C₂²⋊C₄×C₂₃	—	2	2	no	—
386	C₂²⋊C₄×C₂₃	—	2	2	no	—
387	C₂²⋊C₄×C₂₃	—	2	1	no	—
388	C₂²⋊C₄×C₂₃	—	2	2	no	—
389	C₂²⋊C₄×C₂₃	—	2	2	no	—
390	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
391	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
392	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
393	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
394	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
395	C₄²×C₂₃	—	2	2	no	—
396	C₄²×C₂₃	—	2	2	no	—
397	C₄²×C₂₃	—	2	1	no	—
398	C₄²×C₂₃	—	2	2	no	—
399	C₄²×C₂₃	—	2	2	no	—
400	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
401	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
402	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
403	C₄²×C₂₃	C₂⁴	1	2	yes	—
404	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
405	#62596	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
406	C₂³×C₂₃	—	2	1	no	—
407	C₂³×C₂₃	—	2	2	no	—
408	C₂³×C₂₃	—	2	2	no	—
409	C₂³×C₂₃	—	4	4	no	—
410	C₂³×C₂₃	—	8	2	no	—
411	C₂³×C₂₃	—	8	2	no	—
412	C₂³×C₂₃	—	8	2	no	—
413	C₂³×C₂₃	—	8	2	no	—
414	C₂³×C₂₃	—	8	2	no	—
415	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
416	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
417	Q₈×C₂₃	—	2	2	no	—
418	Q₈×C₂₃	—	2	2	no	—
419	Q₈×C₂₃	—	2	2	no	—
420	Q₈×C₂₃	—	4	1	no	—
421	Q₈×C₂₃	—	8	1	no	—
422	Q₈×C₂₃	—	8	2	no	—
423	D₄×C₂₃	—	2	4	no	—
424	D₄×C₂₃	—	2	2	no	—
425	D₄×C₂₃	—	2	2	no	—
426	D₄×C₂₃	—	2	2	no	—
427	D₄×C₂₃	—	2	2	no	—
428	D₄×C₂₃	—	2	2	no	—
429	D₄×C₂₃	—	4	1	no	—
430	D₄×C₂₃	—	4	2	no	—
431	D₄×C₂₃	—	4	2	no	—
432	D₄×C₂₃	—	4	2	no	—
433	D₄×C₂₃	—	8	2	no	—
434	D₄×C₂₃	—	8	2	no	—
435	D₄×C₂₃	—	8	2	no	—
436	D₄×C₂₃	—	8	1	no	—
437	D₄×C₂₃	—	8	2	no	—
438	D₄×C₂₃	—	8	1	no	—
439	D₄×C₂₃	—	8	2	no	—
440	D₄×C₂₃	—	8	2	no	—
441	D₄×C₂₃	—	8	2	no	—
442	D₄×C₂₃	—	8	2	no	—
443	D₄×C₂₃	—	8	2	no	—
444	C₂×C₄×C₂₃	—	2	2	no	—
445	C₂×C₄×C₂₃	—	2	2	no	—
446	C₂×C₄×C₂₃	—	2	2	no	—
447	C₂×C₄×C₂₃	—	2	2	no	—
448	C₂×C₄×C₂₃	—	2	2	no	—
449	C₂×C₄×C₂₃	—	2	2	no	—
450	C₂×C₄×C₂₃	—	2	2	no	—
451	C₂×C₄×C₂₃	—	2	1	no	—
452	C₂×C₄×C₂₃	—	2	1	no	—
453	C₂×C₄×C₂₃	—	2	2	no	—
454	C₂×C₄×C₂₃	—	2	1	no	—
455	C₂×C₄×C₂₃	—	4	1	no	—
456	C₂×C₄×C₂₃	—	4	2	no	—
457	C₂×C₄×C₂₃	—	4	2	no	—
458	C₂×C₄×C₂₃	—	8	2	no	—
459	C₂×C₄×C₂₃	—	8	2	no	—
460	C₂×C₄×C₂₃	—	8	2	no	—
461	C₂×C₄×C₂₃	—	8	1	no	—
462	C₂×C₄×C₂₃	—	8	2	no	—
463	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
464	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
465	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
466	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
467	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
468	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
469	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
471	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
472	C₈×C₂₃	—	2	2	no	—
473	C₈×C₂₃	—	2	2	no	—
474	C₈×C₂₃	—	2	2	no	—
475	C₈×C₂₃	—	2	2	no	—
476	#3563	C₂×C₂₃	1	1	yes	characteristic, complemented
477	#3543	C₂×C₂₃	1	1	yes	characteristic
478	#3371	C₂×C₂₃	1	2	yes	complemented
479	#3368	C₂×C₂₃	1	2	yes	complemented
480	#3317	C₂×C₂₃	1	2	yes	complemented
481	#3314	C₂×C₂₃	1	2	yes	complemented
482	#3310	C₂×C₂₃	1	2	yes	complemented
483	#3310	C₂×C₂₃	1	2	yes	complemented
484	#3296	C₂×C₂₃	1	2	yes	complemented
485	#3295	C₂×C₂₃	1	2	yes	complemented
486	#3241	C₂×C₂₃	1	2	yes	complemented
487	#3232	C₂×C₂₃	1	1	yes	characteristic, complemented
488	#3222	C₂×C₂₃	1	2	yes	complemented
489	#3208	C₂×C₂₃	1	1	yes	characteristic, complemented
490	#3181	C₂×C₂₃	1	1	yes	characteristic, complemented
491	#3174	C₂×C₂₃	1	2	yes	complemented
492	#3136	C₂×C₂₃	1	2	yes	complemented
493	C₂×#490	C₂×C₂₃	1	1	yes	characteristic, complemented
494	#2968	C₂×C₂₃	1	1	yes	characteristic, complemented
495	C₂²×C₂₃	—	2	1	no	—
496	C₂²×C₂₃	—	2	1	no	—
497	C₂²×C₂₃	—	2	2	no	—
498	C₂²×C₂₃	—	2	2	no	—
499	C₂²×C₂₃	—	2	2	no	—
500	C₂²×C₂₃	—	4	1	no	—
501	C₂²×C₂₃	—	4	2	no	—
502	C₂²×C₂₃	—	4	2	no	—
503	C₂²×C₂₃	—	4	2	no	—
504	C₂²×C₂₃	—	4	1	no	—
505	C₂²×C₂₃	—	4	2	no	—
506	C₂²×C₂₃	—	4	2	no	—
507	C₂²×C₂₃	—	4	1	no	—
508	C₂²×C₂₃	—	4	2	no	—
509	C₂²×C₂₃	—	16	4	no	—
510	C₂²×C₂₃	—	16	4	no	—
511	C₂²×C₂₃	#577	1	2	yes	—
512	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
513	C₄×C₂₃	—	2	1	no	—
514	C₄×C₂₃	—	2	1	no	—
515	C₄×C₂₃	—	2	2	no	—
516	C₄×C₂₃	—	2	2	no	—
517	C₄×C₂₃	—	2	1	no	—
518	C₄×C₂₃	—	2	1	no	—
519	C₄×C₂₃	—	2	1	no	—
520	C₄×C₂₃	—	2	2	no	—
521	C₄×C₂₃	—	4	1	no	—
522	C₄×C₂₃	—	4	2	no	—
523	C₄×C₂₃	—	4	2	no	—
524	C₄×C₂₃	—	4	1	no	—
525	C₄×C₂₃	—	4	2	no	—
526	C₄×C₂₃	—	4	2	no	—
527	C₄×C₂₃	—	4	1	no	—
528	C₄×C₂₃	#585	1	2	yes	—
529	#564	—	2	1	no	—
530	#563	—	2	1	no	—
531	#560	—	2	2	no	—
532	#559	C₂²×C₂₃	1	1	yes	characteristic
533	#557	C₂²×C₂₃	1	2	yes	complemented
534	#554	C₂²×C₂₃	1	2	yes	complemented
535	#552	—	2	2	no	—
536	#552	C₂²×C₂₃	1	2	yes	complemented
537	#552	C₂²×C₂₃	1	2	yes	complemented
538	#550	C₂²×C₂₃	1	1	yes	characteristic
539	#550	C₂²×C₂₃	1	1	yes	characteristic
540	#546	—	2	1	no	—
541	#546	C₂²×C₂₃	1	2	yes	—
542	D₄²	—	2	1	no	—
543	D₄²	C₂²×C₂₃	1	2	yes	—
544	D₄²	C₂²×C₂₃	1	1	yes	characteristic
545	#544	—	2	1	no	—
546	#544	C₂²×C₂₃	1	2	yes	complemented
547	#541	—	2	2	no	—
548	#541	C₂²×C₂₃	1	2	yes	complemented
549	#540	—	2	1	no	—
550	#540	C₂²×C₂₃	1	2	yes	—
551	#539	—	2	1	no	—
552	#535	—	2	1	no	—
553	#535	C₂²×C₂₃	1	2	yes	—
554	#534	—	2	2	no	—
555	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
556	C₂×#127	C₂²×C₂₃	1	1	yes	characteristic
557	#529	C₂²×C₂₃	1	1	yes	characteristic
558	#529	C₂²×C₂₃	1	1	yes	characteristic
559	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
560	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
561	#499	C₂²×C₂₃	1	2	yes	complemented
562	#497	C₂²×C₂₃	1	1	yes	characteristic, complemented
563	#492	C₂²×C₂₃	1	2	yes	complemented
564	#491	C₂²×C₂₃	1	1	yes	characteristic, complemented
565	#490	C₂²×C₂₃	1	2	yes	—
566	#490	C₂²×C₂₃	1	2	yes	complemented
567	#490	C₂²×C₂₃	1	2	yes	complemented
568	#490	C₂²×C₂₃	1	2	yes	complemented
569	#490	C₂²×C₂₃	1	2	yes	complemented
570	#489	C₂²×C₂₃	1	2	yes	complemented
571	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
572	#488	C₂²×C₂₃	1	2	yes	complemented
573	#488	C₂²×C₂₃	1	2	yes	complemented
574	#486	C₂²×C₂₃	1	2	yes	complemented
575	#486	C₂²×C₂₃	1	2	yes	complemented
576	#484	C₂²×C₂₃	1	1	yes	characteristic, complemented
577	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
578	#482	C₂²×C₂₃	1	2	yes	complemented
579	#482	C₂²×C₂₃	1	2	yes	complemented
580	#481	C₂²×C₂₃	1	1	yes	characteristic
581	#481	C₂²×C₂₃	1	2	yes	complemented
582	#480	C₂²×C₂₃	1	1	yes	characteristic
583	#480	C₂²×C₂₃	1	2	yes	complemented
584	#479	C₂²×C₂₃	1	2	yes	complemented
585	#478	C₂²×C₂₃	1	2	yes	complemented
586	#478	C₂²×C₂₃	1	2	yes	complemented
587	#478	C₂²×C₂₃	1	2	yes	complemented
588	#476	C₂²×C₂₃	1	2	yes	complemented
589	#474	C₂²×C₂₃	1	2	yes	complemented
590	#468	C₂²×C₂₃	1	2	yes	complemented
591	#468	C₂²×C₂₃	1	2	yes	complemented
592	#467	C₂²×C₂₃	1	2	yes	complemented
593	#465	C₂²×C₂₃	1	2	yes	—
594	#465	C₂²×C₂₃	1	2	yes	complemented
595	#465	C₂²×C₂₃	1	2	yes	complemented
596	#464	C₂²×C₂₃	1	2	yes	complemented
597	#464	C₂²×C₂₃	1	2	yes	complemented
598	#460	C₂²×C₂₃	1	2	yes	—
599	#460	C₂²×C₂₃	1	2	yes	complemented
600	#460	C₂²×C₂₃	1	2	yes	complemented
601	#460	C₂²×C₂₃	1	2	yes	complemented
602	#452	C₂²×C₂₃	1	2	yes	complemented
603	#452	C₂²×C₂₃	1	2	yes	complemented
604	#450	C₂²×C₂₃	1	2	yes	complemented
605	#450	C₂²×C₂₃	1	2	yes	complemented
606	#450	C₂²×C₂₃	1	2	yes	complemented
607	#450	C₂²×C₂₃	1	2	yes	complemented
608	#446	C₂²×C₂₃	1	2	yes	complemented
609	#441	C₂²×C₂₃	1	2	yes	complemented
610	#440	C₂²×C₂₃	1	2	yes	complemented
611	#440	C₂²×C₂₃	1	2	yes	complemented
612	#440	C₂²×C₂₃	1	2	yes	complemented
613	C₄×SD₁₆	C₂²×C₂₃	1	2	yes	complemented
614	C₄×SD₁₆	C₂²×C₂₃	1	2	yes	complemented
615	#435	C₂²×C₂₃	1	2	yes	complemented
616	#435	C₂²×C₂₃	1	2	yes	complemented
617	C₈×D₄	C₂²×C₂₃	1	2	yes	complemented
618	#433	C₂²×C₂₃	1	2	yes	complemented
619	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
620	#418	C₂²×C₂₃	1	2	yes	complemented
621	#417	C₂²×C₂₃	1	2	yes	complemented
622	#416	C₂²×C₂₃	1	2	yes	complemented
623	C₂×#102	C₂²×C₂₃	1	2	yes	complemented
624	C₂×#102	C₂²×C₂₃	1	2	yes	complemented
625	C₂×#102	C₂²×C₂₃	1	2	yes	complemented
626	#405	C₂²×C₂₃	1	2	yes	complemented
627	C₂×#97	C₂²×C₂₃	1	1	yes	characteristic, complemented
628	C₂×C₂₃	—	2	2	no	—
629	C₂×C₂₃	—	4	2	no	—
630	C₂×C₂₃	—	8	2	no	—
631	C₂×C₂₃	—	8	1	no	—
632	C₂×C₂₃	—	8	2	no	—
633	C₂×C₂₃	#3500	1	1	yes	characteristic
634	C₂×C₂₃	C₂×#577	1	1	yes	characteristic
635	C₂×C₂₃	#3585	1	1	yes	characteristic
636	C₂×#41	—	2	1	no	—
637	C₂×#41	C₂³×C₂₃	1	2	yes	—
638	C₂²×D₄	—	2	2	no	—
639	C₂²×D₄	—	2	1	no	—
640	C₂²×D₄	—	2	1	no	—
641	C₂²×D₄	—	2	1	no	—
642	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
643	C₂²×D₄	C₂³×C₂₃	1	2	yes	—
644	C₂×Q₁₆	C₂³×C₂₃	1	2	yes	—
645	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
646	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
647	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
648	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
649	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
650	C₂×M₁₆	C₂³×C₂₃	1	2	yes	—
651	C₂²×C₈	C₂³×C₂₃	1	2	yes	—
652	C₂²×C₈	C₂³×C₂₃	1	2	yes	—
653	C₄⋊Q₈	—	2	2	no	—
654	C₄⋊Q₈	—	2	2	no	—
655	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
656	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
657	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
658	#127	—	2	1	no	—
659	#127	—	2	1	no	—
660	#127	—	2	1	no	—
661	#127	C₂³×C₂₃	1	2	yes	—
662	#127	C₂³×C₂₃	1	1	yes	characteristic
663	#127	C₂³×C₂₃	1	1	yes	characteristic
664	#127	C₂³×C₂₃	1	2	yes	—
665	#126	—	2	2	no	—
666	#126	—	2	2	no	—
667	#126	—	2	2	no	—
668	#126	—	2	2	no	—
669	#126	—	2	1	no	—
670	#126	D₄×C₂₃	1	2	yes	—
671	#125	—	2	2	no	—
672	#125	—	2	2	no	—
673	#125	—	2	2	no	—
674	#125	—	2	2	no	—
675	#125	—	2	2	no	—
676	#125	—	2	2	no	—
677	#125	—	2	2	no	—
678	#125	—	2	2	no	—
679	#125	—	2	1	no	—
680	#125	—	2	1	no	—
681	#125	—	2	1	no	—
682	#125	D₄×C₂₃	1	1	yes	characteristic
683	#125	C₂³×C₂₃	1	2	yes	—
684	#125	C₂³×C₂₃	1	2	yes	—
685	#125	C₂³×C₂₃	1	1	yes	characteristic
686	#125	C₂³×C₂₃	1	2	yes	—
687	#124	—	2	1	no	—
688	#124	D₄×C₂₃	1	1	yes	characteristic
689	#124	C₂³×C₂₃	1	1	yes	characteristic
690	#124	C₂³×C₂₃	1	2	yes	—
691	#123	—	2	2	no	—
692	#123	—	2	2	no	—
693	#123	—	2	1	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	#123	D₄×C₂₃	1	2	yes	—
699	C₂²⋊Q₈	—	2	1	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
705	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
706	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
707	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
708	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
709	#121	—	2	2	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	1	no	—
713	#121	—	2	1	no	—
714	#121	—	2	2	no	—
715	#121	—	2	2	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	D₄×C₂₃	1	1	yes	characteristic
720	#121	C₂³×C₂₃	1	1	yes	characteristic
721	#121	C₂³×C₂₃	1	2	yes	—
722	#121	C₂³×C₂₃	1	2	yes	—
723	#120	—	2	2	no	—
724	#120	—	2	2	no	—
725	#120	—	2	2	no	—
726	#120	—	2	2	no	—
727	#120	—	2	2	no	—
728	#120	—	2	2	no	—
729	C₄×Q₈	—	2	2	no	—
730	C₄×Q₈	—	2	1	no	—
731	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
732	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
733	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
734	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
735	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
736	C₄×D₄	—	2	2	no	—
737	C₄×D₄	—	2	1	no	—
738	C₄×D₄	—	2	1	no	—
739	C₄×D₄	—	2	1	no	—
740	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
741	C₄×D₄	C₂³×C₂₃	1	2	yes	—
742	C₄×D₄	C₂³×C₂₃	1	2	yes	—
743	C₄×D₄	C₂³×C₂₃	1	2	yes	—
744	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
745	#117	—	2	1	no	—
746	#117	—	2	2	no	—
747	#117	—	2	2	no	—
748	#117	—	2	1	no	—
749	#117	C₂³×C₂₃	1	2	yes	—
750	#117	C₂³×C₂₃	1	2	yes	—
751	C₂×C₄⋊C₄	—	2	1	no	—
752	C₂×C₄⋊C₄	—	2	1	no	—
753	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
756	C₂×C₂²⋊C₄	—	2	2	no	—
757	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
758	#107	C₂³×C₂₃	1	2	yes	—
759	#107	C₂³×C₂₃	1	2	yes	—
760	#107	C₂³×C₂₃	1	2	yes	—
761	#106	C₂³×C₂₃	1	2	yes	—
762	#106	C₂³×C₂₃	1	2	yes	—
763	#106	C₂³×C₂₃	1	2	yes	—
764	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
765	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
766	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
767	#103	C₂³×C₂₃	1	2	yes	—
768	#103	C₂³×C₂₃	1	2	yes	—
769	#103	C₂³×C₂₃	1	2	yes	—
770	#103	C₂³×C₂₃	1	2	yes	—
771	#103	C₂³×C₂₃	1	2	yes	—
772	#102	C₂³×C₂₃	1	2	yes	—
773	#102	C₂³×C₂₃	1	2	yes	—
774	#102	C₂³×C₂₃	1	2	yes	—
775	#102	C₂³×C₂₃	1	2	yes	—
776	#102	C₂³×C₂₃	1	2	yes	—
777	#102	C₂³×C₂₃	1	2	yes	—
778	#102	C₂³×C₂₃	1	2	yes	—
779	#102	C₂³×C₂₃	1	2	yes	—
780	#102	C₂³×C₂₃	1	2	yes	—
781	#102	C₂³×C₂₃	1	2	yes	—
782	#102	C₂³×C₂₃	1	2	yes	—
783	#102	C₂³×C₂₃	1	2	yes	—
784	#102	C₂³×C₂₃	1	2	yes	—
785	#102	C₂³×C₂₃	1	2	yes	—
786	#102	C₂³×C₂₃	1	2	yes	—
787	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
788	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
789	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
790	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
791	#97	C₂³×C₂₃	1	1	yes	characteristic
792	#97	C₂³×C₂₃	1	1	yes	characteristic
793	#97	C₂³×C₂₃	1	2	yes	—
794	#97	C₂³×C₂₃	1	2	yes	—
795	C₄×C₈	C₂³×C₂₃	1	2	yes	—
796	C₄×C₈	C₂³×C₂₃	1	2	yes	—
797	C₂₃	#62596	1	1	yes	characteristic, direct product factor, Sylow
798	C₂⁴	—	2	2	no	—
799	C₂⁴	—	2	2	no	—
800	#41	—	4	2	no	—
801	#41	—	4	2	no	—
802	#41	—	8	2	no	—
803	C₂×Q₈	—	2	1	no	—
804	C₂×Q₈	—	2	2	no	—
805	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
806	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
807	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
808	C₂×D₄	—	2	1	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	1	no	—
813	C₂×D₄	—	2	1	no	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	2	no	—
816	C₂×D₄	—	2	1	no	—
817	C₂×D₄	—	2	2	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	1	no	—
822	C₂×D₄	—	4	2	no	—
823	C₂×D₄	—	4	2	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	8	2	no	—
827	C₂×D₄	—	8	2	no	—
828	C₂×D₄	—	8	2	no	—
829	C₂×D₄	—	8	4	no	—
830	C₂×D₄	C₂×D₄×C₂₃	1	2	yes	—
831	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
832	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
833	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
834	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
835	C₂²×C₄	—	2	1	no	—
836	C₂²×C₄	—	2	1	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
843	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
846	Q₁₆	—	4	2	no	—
847	SD₁₆	—	4	2	no	—
848	SD₁₆	—	4	2	no	—
849	SD₁₆	—	4	2	no	—
850	SD₁₆	—	4	2	no	—
851	SD₁₆	—	4	2	no	—
852	M₁₆	—	4	2	no	—
853	C₂×C₈	—	4	2	no	—
854	C₂×C₈	—	4	2	no	—
855	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
856	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
857	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
858	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
859	C₄⋊C₄	—	2	2	no	—
860	C₄⋊C₄	—	2	2	no	—
861	C₄⋊C₄	—	2	2	no	—
862	C₄⋊C₄	—	2	2	no	—
863	C₄⋊C₄	—	2	1	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	1	no	—
866	C₄⋊C₄	—	2	1	no	—
867	C₄⋊C₄	—	2	1	no	—
868	C₄⋊C₄	—	2	1	no	—
869	C₄⋊C₄	—	2	2	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	1	no	—
873	C₄⋊C₄	—	2	1	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	1	no	—
878	C₄⋊C₄	—	2	1	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
883	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
884	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
885	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
886	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
887	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
888	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
889	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
890	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
891	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
892	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
893	C₂²⋊C₄	—	2	1	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	1	no	—
901	C₂²⋊C₄	—	2	1	no	—
902	C₂²⋊C₄	—	2	1	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	1	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
909	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
910	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
911	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
912	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
913	C₄²	—	2	2	no	—
914	C₄²	—	2	2	no	—
915	C₄²	—	2	1	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	2	2	no	—
918	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
919	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
920	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
921	C₄²	C₂⁴×C₂₃	1	2	yes	—
922	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
923	C₂³	—	2	2	no	—
924	C₂³	—	2	1	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	4	4	no	—
927	C₂³	—	8	2	no	—
928	C₂³	—	8	2	no	—
929	C₂³	—	8	2	no	—
930	C₂³	—	8	2	no	—
931	C₂³	—	8	2	no	—
932	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
933	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
934	Q₈	—	2	2	no	—
935	Q₈	—	2	2	no	—
936	Q₈	—	2	2	no	—
937	Q₈	—	4	1	no	—
938	Q₈	—	8	1	no	—
939	Q₈	—	8	2	no	—
940	D₄	—	2	4	no	—
941	D₄	—	2	2	no	—
942	D₄	—	2	2	no	—
943	D₄	—	2	2	no	—
944	D₄	—	2	2	no	—
945	D₄	—	2	2	no	—
946	D₄	—	4	1	no	—
947	D₄	—	4	2	no	—
948	D₄	—	4	2	no	—
949	D₄	—	4	2	no	—
950	D₄	—	8	2	no	—
951	D₄	—	8	2	no	—
952	D₄	—	8	1	no	—
953	D₄	—	8	2	no	—
954	D₄	—	8	1	no	—
955	D₄	—	8	2	no	—
956	D₄	—	8	2	no	—
957	D₄	—	8	2	no	—
958	D₄	—	8	2	no	—
959	D₄	—	8	2	no	—
960	D₄	—	8	2	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	4	1	no	—
973	C₂×C₄	—	4	2	no	—
974	C₂×C₄	—	4	2	no	—
975	C₂×C₄	—	8	2	no	—
976	C₂×C₄	—	8	2	no	—
977	C₂×C₄	—	8	2	no	—
978	C₂×C₄	—	8	1	no	—
979	C₂×C₄	—	8	2	no	—
980	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
981	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
982	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
983	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
984	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
985	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
986	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
987	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
988	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
989	C₈	—	2	2	no	—
990	C₈	—	2	2	no	—
991	C₈	—	2	2	no	—
992	C₈	—	2	2	no	—
993	C₂²	—	2	1	no	—
994	C₂²	—	2	1	no	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	4	2	no	—
1000	C₂²	—	4	1	no	—
1001	C₂²	—	4	2	no	—
1002	C₂²	—	4	1	no	—
1003	C₂²	—	4	2	no	—
1004	C₂²	—	4	1	no	—
1005	C₂²	—	4	2	no	—
1006	C₂²	—	4	2	no	—
1007	C₂²	—	16	4	no	—
1008	C₂²	—	16	4	no	—
1009	C₂²	C₂₃×#577	1	2	yes	—
1010	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1011	C₄	—	2	2	no	—
1012	C₄	—	2	1	no	—
1013	C₄	—	2	1	no	—
1014	C₄	—	2	1	no	—
1015	C₄	—	2	2	no	—
1016	C₄	—	2	1	no	—
1017	C₄	—	2	1	no	—
1018	C₄	—	2	2	no	—
1019	C₄	—	4	1	no	—
1020	C₄	—	4	2	no	—
1021	C₄	—	4	2	no	—
1022	C₄	—	4	1	no	—
1023	C₄	—	4	1	no	—
1024	C₄	—	4	2	no	—
1025	C₄	—	4	2	no	—
1026	C₄	C₂₃×#585	1	2	yes	—
1027	C₂	—	2	2	no	—
1028	C₂	—	4	2	no	—
1029	C₂	—	8	2	no	—
1030	C₂	—	8	1	no	—
1031	C₂	—	8	2	no	—
1032	C₂	C₂₃×#3500	1	1	yes	characteristic
1033	C₂	C₂×C₂₃×#577	1	1	yes	characteristic
1034	C₂	C₂₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₃
prime radical	C₂₃×#3543	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃ ◁ C₂₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#3563	C₂	semidirect
3. C₂₃×#3371	C₂	semidirect
4. C₂₃×#3368	C₂	semidirect
5. C₂₃×#3317	C₂	semidirect
6. C₂₃×#3314	C₂	semidirect
7. C₂₃×#3310	C₂	semidirect
8. C₂₃×#3310	C₂	semidirect
9. C₂₃×#3296	C₂	semidirect
10. C₂₃×#3295	C₂	semidirect
11. C₂₃×#3241	C₂	semidirect
12. C₂₃×#3232	C₂	semidirect
13. C₂₃×#3222	C₂	semidirect
14. C₂₃×#3208	C₂	semidirect
15. C₂₃×#3181	C₂	semidirect
16. C₂₃×#3174	C₂	semidirect
17. C₂₃×#3136	C₂	semidirect
18. C₂×C₂₃×#490	C₂	semidirect
19. C₂₃×#2968	C₂	semidirect
24. C₂₃×#557	C₂²	semidirect
25. C₂₃×#554	C₂²	semidirect
27. C₂₃×#552	C₂²	semidirect
28. C₂₃×#552	C₂²	semidirect
37. C₂₃×#544	C₂²	semidirect
39. C₂₃×#541	C₂²	semidirect
46. C₂₃×#533	C₂²	semidirect
50. C₂×C₂₃×#125	C₂²	semidirect
51. C₂₃×#501	C₂²	semidirect
52. C₂₃×#499	C₂²	semidirect
53. C₂₃×#497	C₂²	semidirect
54. C₂₃×#492	C₂²	semidirect
55. C₂₃×#491	C₂²	semidirect
57. C₂₃×#490	C₂²	semidirect
58. C₂₃×#490	C₂²	semidirect
59. C₂₃×#490	C₂²	semidirect
60. C₂₃×#490	C₂²	semidirect
61. C₂₃×#489	C₂²	semidirect
62. C₂₃×#489	C₂²	semidirect
63. C₂₃×#488	C₂²	semidirect
64. C₂₃×#488	C₂²	semidirect
65. C₂₃×#486	C₂²	semidirect
66. C₂₃×#486	C₂²	semidirect
67. C₂₃×#484	C₂²	semidirect
68. C₂₃×#483	C₂²	semidirect
69. C₂₃×#482	C₂²	semidirect
70. C₂₃×#482	C₂²	semidirect
72. C₂₃×#481	C₂²	semidirect
74. C₂₃×#480	C₂²	semidirect
75. C₂₃×#479	C₂²	semidirect
76. C₂₃×#478	C₂²	semidirect
77. C₂₃×#478	C₂²	semidirect
78. C₂₃×#478	C₂²	semidirect
79. C₂₃×#476	C₂²	semidirect
80. C₂₃×#474	C₂²	semidirect
81. C₂₃×#468	C₂²	semidirect
82. C₂₃×#468	C₂²	semidirect
83. C₂₃×#467	C₂²	semidirect
85. C₂₃×#465	C₂²	semidirect
86. C₂₃×#465	C₂²	semidirect
87. C₂₃×#464	C₂²	semidirect
88. C₂₃×#464	C₂²	semidirect
90. C₂₃×#460	C₂²	semidirect
91. C₂₃×#460	C₂²	semidirect
92. C₂₃×#460	C₂²	semidirect
93. C₂₃×#452	C₂²	semidirect
94. C₂₃×#452	C₂²	semidirect
95. C₂₃×#450	C₂²	semidirect
96. C₂₃×#450	C₂²	semidirect
97. C₂₃×#450	C₂²	semidirect
98. C₂₃×#450	C₂²	semidirect
99. C₂₃×#446	C₂²	semidirect
100. C₂₃×#441	C₂²	semidirect
101. C₂₃×#440	C₂²	semidirect
102. C₂₃×#440	C₂²	semidirect
103. C₂₃×#440	C₂²	semidirect
104. C₄×SD₁₆×C₂₃	C₂²	semidirect
105. C₄×SD₁₆×C₂₃	C₂²	semidirect
106. C₂₃×#435	C₂²	semidirect
107. C₂₃×#435	C₂²	semidirect
108. C₈×D₄×C₂₃	C₂²	semidirect
109. C₂₃×#433	C₂²	semidirect
110. C₂₃×#431	C₂²	semidirect
111. C₂₃×#418	C₂²	semidirect
112. C₂₃×#417	C₂²	semidirect
113. C₂₃×#416	C₂²	semidirect
114. C₂×C₂₃×#102	C₂²	semidirect
115. C₂×C₂₃×#102	C₂²	semidirect
116. C₂×C₂₃×#102	C₂²	semidirect
117. C₂₃×#405	C₂²	semidirect
118. C₂×C₂₃×#97	C₂²	semidirect
405. #62596	C₂₃	direct (N × H)
476. #3563	C₂×C₂₃	semidirect
478. #3371	C₂×C₂₃	semidirect
479. #3368	C₂×C₂₃	semidirect
480. #3317	C₂×C₂₃	semidirect
481. #3314	C₂×C₂₃	semidirect
482. #3310	C₂×C₂₃	semidirect
483. #3310	C₂×C₂₃	semidirect
484. #3296	C₂×C₂₃	semidirect
485. #3295	C₂×C₂₃	semidirect
486. #3241	C₂×C₂₃	semidirect
487. #3232	C₂×C₂₃	semidirect
488. #3222	C₂×C₂₃	semidirect
489. #3208	C₂×C₂₃	semidirect
490. #3181	C₂×C₂₃	semidirect
491. #3174	C₂×C₂₃	semidirect
492. #3136	C₂×C₂₃	semidirect
493. C₂×#490	C₂×C₂₃	semidirect
494. #2968	C₂×C₂₃	semidirect
533. #557	C₂²×C₂₃	semidirect
534. #554	C₂²×C₂₃	semidirect
536. #552	C₂²×C₂₃	semidirect
537. #552	C₂²×C₂₃	semidirect
546. #544	C₂²×C₂₃	semidirect
548. #541	C₂²×C₂₃	semidirect
555. #533	C₂²×C₂₃	semidirect
559. C₂×#125	C₂²×C₂₃	semidirect
560. #501	C₂²×C₂₃	semidirect
561. #499	C₂²×C₂₃	semidirect
562. #497	C₂²×C₂₃	semidirect
563. #492	C₂²×C₂₃	semidirect
564. #491	C₂²×C₂₃	semidirect
566. #490	C₂²×C₂₃	semidirect
567. #490	C₂²×C₂₃	semidirect
568. #490	C₂²×C₂₃	semidirect
569. #490	C₂²×C₂₃	semidirect
570. #489	C₂²×C₂₃	semidirect
571. #489	C₂²×C₂₃	semidirect
572. #488	C₂²×C₂₃	semidirect
573. #488	C₂²×C₂₃	semidirect
574. #486	C₂²×C₂₃	semidirect
575. #486	C₂²×C₂₃	semidirect
576. #484	C₂²×C₂₃	semidirect
577. #483	C₂²×C₂₃	semidirect
578. #482	C₂²×C₂₃	semidirect
579. #482	C₂²×C₂₃	semidirect
581. #481	C₂²×C₂₃	semidirect
583. #480	C₂²×C₂₃	semidirect
584. #479	C₂²×C₂₃	semidirect
585. #478	C₂²×C₂₃	semidirect
586. #478	C₂²×C₂₃	semidirect
587. #478	C₂²×C₂₃	semidirect
588. #476	C₂²×C₂₃	semidirect
589. #474	C₂²×C₂₃	semidirect
590. #468	C₂²×C₂₃	semidirect
591. #468	C₂²×C₂₃	semidirect
592. #467	C₂²×C₂₃	semidirect
594. #465	C₂²×C₂₃	semidirect
595. #465	C₂²×C₂₃	semidirect
596. #464	C₂²×C₂₃	semidirect
597. #464	C₂²×C₂₃	semidirect
599. #460	C₂²×C₂₃	semidirect
600. #460	C₂²×C₂₃	semidirect
601. #460	C₂²×C₂₃	semidirect
602. #452	C₂²×C₂₃	semidirect
603. #452	C₂²×C₂₃	semidirect
604. #450	C₂²×C₂₃	semidirect
605. #450	C₂²×C₂₃	semidirect
606. #450	C₂²×C₂₃	semidirect
607. #450	C₂²×C₂₃	semidirect
608. #446	C₂²×C₂₃	semidirect
609. #441	C₂²×C₂₃	semidirect
610. #440	C₂²×C₂₃	semidirect
611. #440	C₂²×C₂₃	semidirect
612. #440	C₂²×C₂₃	semidirect
613. C₄×SD₁₆	C₂²×C₂₃	semidirect
614. C₄×SD₁₆	C₂²×C₂₃	semidirect
615. #435	C₂²×C₂₃	semidirect
616. #435	C₂²×C₂₃	semidirect
617. C₈×D₄	C₂²×C₂₃	semidirect
618. #433	C₂²×C₂₃	semidirect
619. #431	C₂²×C₂₃	semidirect
620. #418	C₂²×C₂₃	semidirect
621. #417	C₂²×C₂₃	semidirect
622. #416	C₂²×C₂₃	semidirect
623. C₂×#102	C₂²×C₂₃	semidirect
624. C₂×#102	C₂²×C₂₃	semidirect
625. C₂×#102	C₂²×C₂₃	semidirect
626. #405	C₂²×C₂₃	semidirect
627. C₂×#97	C₂²×C₂₃	semidirect
797. C₂₃	#62596	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×#3563	2
C₂₃×#3543	2
C₂₃×#3371	2
C₂₃×#3368	2
C₂₃×#3317	2
C₂₃×#3314	2
C₂₃×#3310	2
C₂₃×#3296	2
C₂₃×#3295	2
C₂₃×#3241	2
C₂₃×#3232	2
C₂₃×#3222	2
C₂₃×#3208	2
C₂₃×#3181	2
C₂₃×#3174	2
C₂₃×#3136	2
C₂×C₂₃×#490	2
C₂₃×#2968	2
#62596	23

Subgroups — C23×#62596 #19210222

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#62596 #19210222