Subgroups — C₂₃×#62619 #19210245

Order 5888.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3544	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3363	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3330	C₂	1	2	yes	maximal, complemented
9	C₂₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3327	C₂	1	2	yes	maximal, complemented
11	C₂₃×#3315	C₂	1	2	yes	maximal, complemented
12	C₂₃×#3308	C₂	1	2	yes	maximal, complemented
13	C₂₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3243	C₂	1	2	yes	maximal, complemented
16	C₂₃×#3230	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3225	C₂	1	2	yes	maximal, complemented
18	C₂₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3175	C₂	1	2	yes	maximal, complemented
20	C₂₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3141	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3137	C₂	1	2	yes	maximal, complemented
23	C₂₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#563	—	2	2	no	—
25	C₂₃×#562	—	2	2	no	—
26	C₂₃×#559	—	2	1	no	—
27	C₂₃×#559	C₂²	1	1	yes	characteristic
28	Q₈²×C₂₃	C₂²	1	1	yes	characteristic
29	C₂₃×#557	C₂²	1	1	yes	characteristic
30	C₂₃×#555	C₂²	1	1	yes	characteristic
31	C₂₃×#554	—	2	1	no	—
32	C₂₃×#554	C₂²	1	1	yes	characteristic
33	C₂₃×#554	C₂²	1	1	yes	characteristic
34	C₂₃×#552	—	2	1	no	—
35	C₂₃×#552	C₂²	1	2	yes	—
36	C₂₃×#550	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
38	C₂₃×#548	C₂²	1	2	yes	—
39	C₂₃×#547	—	2	1	no	—
40	C₂₃×#547	C₂²	1	2	yes	—
41	C₂₃×#547	C₂²	1	2	yes	—
42	C₂₃×#544	—	2	1	no	—
43	C₂₃×#544	C₂²	1	2	yes	—
44	C₂₃×#542	—	2	1	no	—
45	C₂₃×#542	—	2	1	no	—
46	C₂₃×#542	C₂²	1	2	yes	—
47	C₂₃×#542	C₂²	1	2	yes	—
48	C₂₃×#540	—	2	1	no	—
49	C₂₃×#539	—	2	2	no	—
50	C₂₃×#536	—	2	2	no	—
51	C₂₃×#536	C₂²	1	2	yes	—
52	C₂₃×#533	C₂²	1	1	yes	characteristic
53	C₂₃×#532	C₂²	1	1	yes	characteristic
54	C₂×C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
55	C₂₃×#529	C₂²	1	1	yes	characteristic
56	C₂₃×#529	C₂²	1	1	yes	characteristic
57	C₂₃×#501	C₂²	1	1	yes	characteristic
58	C₂₃×#500	C₂²	1	2	yes	—
59	C₂₃×#497	C₂²	1	1	yes	characteristic
60	C₂₃×#495	C₂²	1	2	yes	—
61	C₂₃×#491	C₂²	1	1	yes	characteristic
62	C₂₃×#491	C₂²	1	2	yes	—
63	C₂₃×#489	C₂²	1	1	yes	characteristic
64	C₂₃×#489	C₂²	1	2	yes	—
65	C₂₃×#489	C₂²	1	2	yes	—
66	C₂₃×#489	C₂²	1	2	yes	—
67	C₂₃×#488	C₂²	1	2	yes	—
68	C₂₃×#488	C₂²	1	2	yes	—
69	C₂₃×#487	C₂²	1	2	yes	—
70	C₂₃×#487	C₂²	1	1	yes	characteristic
71	C₂₃×#487	C₂²	1	1	yes	characteristic
72	C₂₃×#487	C₂²	1	2	yes	—
73	C₂₃×#486	C₂²	1	1	yes	characteristic
74	C₂₃×#486	C₂²	1	1	yes	characteristic
75	C₂₃×#485	C₂²	1	2	yes	—
76	C₂₃×#484	C₂²	1	2	yes	—
77	C₂₃×#484	C₂²	1	2	yes	—
78	C₂₃×#484	C₂²	1	2	yes	—
79	C₂₃×#482	C₂²	1	2	yes	—
80	C₂₃×#480	C₂²	1	2	yes	—
81	C₂₃×#479	C₂²	1	2	yes	—
82	C₂₃×#478	C₂²	1	2	yes	—
83	C₂₃×#477	C₂²	1	1	yes	characteristic
84	C₂₃×#477	C₂²	1	1	yes	characteristic
85	C₂₃×#477	C₂²	1	1	yes	characteristic
86	C₂₃×#477	C₂²	1	1	yes	characteristic
87	C₂₃×#477	C₂²	1	2	yes	—
88	C₂₃×#474	C₂²	1	2	yes	—
89	C₂₃×#470	C₂²	1	1	yes	characteristic
90	C₂₃×#470	C₂²	1	1	yes	characteristic
91	C₂₃×#468	C₂²	1	1	yes	characteristic
92	C₂₃×#468	C₂²	1	1	yes	characteristic
93	C₂₃×#468	C₂²	1	2	yes	—
94	C₂₃×#468	C₂²	1	2	yes	—
95	C₂₃×#467	C₂²	1	2	yes	—
96	C₂₃×#466	C₂²	1	2	yes	—
97	C₂₃×#464	C₂²	1	2	yes	—
98	C₂₃×#463	C₂²	1	2	yes	—
99	C₂₃×#462	C₂²	1	1	yes	characteristic
100	C₂₃×#462	C₂²	1	2	yes	—
101	C₂₃×#461	C₂²	1	1	yes	characteristic
102	C₂₃×#461	C₂²	1	2	yes	—
103	C₂₃×#460	C₂²	1	1	yes	characteristic
104	C₂₃×#459	C₂²	1	1	yes	characteristic
105	C₂₃×#452	C₂²	1	2	yes	—
106	C₂₃×#452	C₂²	1	2	yes	—
107	C₂₃×#451	C₂²	1	2	yes	—
108	C₂₃×#449	C₂²	1	2	yes	—
109	C₂₃×#449	C₂²	1	2	yes	—
110	C₂₃×#448	C₂²	1	2	yes	—
111	C₂₃×#446	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₂₃	C₂²	1	1	yes	characteristic
113	C₂₃×#440	C₂²	1	2	yes	—
114	C₂₃×#440	C₂²	1	2	yes	—
115	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic
116	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic
117	C₄×Q₁₆×C₂₃	C₂²	1	2	yes	—
118	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
120	C₄×D₈×C₂₃	C₂²	1	2	yes	—
121	C₂₃×#436	C₂²	1	2	yes	—
122	C₂₃×#436	C₂²	1	1	yes	characteristic
123	C₂₃×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic
125	C₂₃×#433	C₂²	1	2	yes	—
126	C₂₃×#431	C₂²	1	1	yes	characteristic
127	C₂₃×#419	C₂²	1	2	yes	—
128	C₂₃×#417	C₂²	1	2	yes	—
129	C₂₃×#417	C₂²	1	2	yes	—
130	C₂₃×#417	C₂²	1	2	yes	—
131	C₂₃×#416	C₂²	1	2	yes	—
132	C₂×C₂₃×#103	C₂²	1	2	yes	—
133	C₂₃×#405	C₂²	1	2	yes	—
134	C₄×M₁₆×C₂₃	C₂²	1	1	yes	characteristic
135	C₂×#41×C₂₃	—	2	2	no	—
136	C₂×#41×C₂₃	C₂³	1	2	yes	—
137	C₂×#41×C₂₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₂₃	—	2	1	no	—
139	C₂²×Q₈×C₂₃	C₂³	1	2	yes	—
140	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
141	C₂×Q₁₆×C₂₃	C₂³	1	2	yes	—
142	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
143	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
146	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
147	C₂×D₈×C₂₃	C₂³	1	2	yes	—
148	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
149	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
150	C₂×M₁₆×C₂₃	C₂³	1	2	yes	—
151	C₂²×C₈×C₂₃	C₂³	1	2	yes	—
152	C₂₃×C₄⋊Q₈	—	2	1	no	—
153	C₂₃×C₄⋊Q₈	—	2	1	no	—
154	C₂₃×C₄⋊Q₈	—	2	2	no	—
155	C₂₃×C₄⋊Q₈	—	2	2	no	—
156	C₂₃×C₄⋊Q₈	—	2	1	no	—
157	C₂₃×C₄⋊Q₈	—	2	1	no	—
158	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₂₃×#127	—	2	1	no	—
167	C₂₃×#127	C₂³	1	1	yes	characteristic
168	C₂₃×#126	—	2	2	no	—
169	C₂₃×#126	—	2	2	no	—
170	C₂₃×#126	—	2	2	no	—
171	C₂₃×#126	—	2	1	no	—
172	C₂₃×#126	D₄	1	2	yes	—
173	C₂₃×#125	—	2	1	no	—
174	C₂₃×#125	—	2	2	no	—
175	C₂₃×#125	—	2	2	no	—
176	C₂₃×#125	—	2	1	no	—
177	C₂₃×#125	—	2	2	no	—
178	C₂₃×#125	—	2	1	no	—
179	C₂₃×#125	D₄	1	1	yes	characteristic
180	C₂₃×#125	C₂³	1	2	yes	—
181	C₂₃×#125	C₂³	1	1	yes	characteristic
182	C₂₃×#124	—	2	1	no	—
183	C₂₃×#124	—	2	2	no	—
184	C₂₃×#124	—	2	2	no	—
185	C₂₃×#124	—	2	2	no	—
186	C₂₃×#124	—	2	2	no	—
187	C₂₃×#124	D₄	1	1	yes	characteristic
188	C₂₃×#124	C₂³	1	2	yes	—
189	C₂₃×#124	C₂³	1	2	yes	—
190	C₂₃×#124	C₂³	1	1	yes	characteristic
191	C₂₃×#123	—	2	2	no	—
192	C₂₃×#123	—	2	1	no	—
193	C₂₃×#123	—	2	2	no	—
194	C₂₃×#123	—	2	2	no	—
195	C₂₃×#123	—	2	2	no	—
196	C₂₃×#123	—	2	2	no	—
197	C₂₃×#123	—	2	2	no	—
198	C₂₃×#123	—	2	2	no	—
199	C₂₃×#123	—	2	2	no	—
200	C₂₃×#123	—	2	2	no	—
201	C₂₃×#123	—	2	2	no	—
202	C₂₃×#123	D₄	1	2	yes	—
203	C₂₃×C₂²⋊Q₈	—	2	1	no	—
204	C₂₃×C₂²⋊Q₈	—	2	1	no	—
205	C₂₃×C₂²⋊Q₈	—	2	2	no	—
206	C₂₃×C₂²⋊Q₈	—	2	2	no	—
207	C₂₃×C₂²⋊Q₈	—	2	2	no	—
208	C₂₃×C₂²⋊Q₈	—	2	2	no	—
209	C₂₃×C₂²⋊Q₈	—	2	2	no	—
210	C₂₃×C₂²⋊Q₈	—	2	2	no	—
211	C₂₃×C₂²⋊Q₈	—	2	2	no	—
212	C₂₃×C₂²⋊Q₈	—	2	2	no	—
213	C₂₃×C₂²⋊Q₈	—	2	2	no	—
214	C₂₃×C₂²⋊Q₈	—	2	2	no	—
215	C₂₃×C₂²⋊Q₈	—	2	2	no	—
216	C₂₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
217	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₂₃×#121	—	2	1	no	—
223	C₂₃×#121	—	2	2	no	—
224	C₂₃×#121	—	2	2	no	—
225	C₂₃×#121	—	2	1	no	—
226	C₂₃×#121	—	2	1	no	—
227	C₂₃×#121	—	2	2	no	—
228	C₂₃×#121	D₄	1	1	yes	characteristic
229	C₂₃×#121	C₂³	1	1	yes	characteristic
230	C₂₃×#121	C₂³	1	2	yes	—
231	C₂₃×#121	C₂³	1	2	yes	—
232	C₄×Q₈×C₂₃	—	2	1	no	—
233	C₄×Q₈×C₂₃	—	2	1	no	—
234	C₄×Q₈×C₂₃	—	2	1	no	—
235	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
239	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₂₃	—	2	1	no	—
242	C₄×D₄×C₂₃	—	2	1	no	—
243	C₄×D₄×C₂₃	—	2	1	no	—
244	C₄×D₄×C₂₃	—	2	1	no	—
245	C₄×D₄×C₂₃	—	2	1	no	—
246	C₄×D₄×C₂₃	—	2	2	no	—
247	C₄×D₄×C₂₃	—	2	1	no	—
248	C₄×D₄×C₂₃	—	2	1	no	—
249	C₄×D₄×C₂₃	C₂³	1	2	yes	—
250	C₄×D₄×C₂₃	C₂³	1	2	yes	—
251	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₂₃	C₂³	1	2	yes	—
253	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
254	C₂₃×#117	—	2	1	no	—
255	C₂₃×#117	—	2	1	no	—
256	C₂₃×#117	—	2	2	no	—
257	C₂₃×#117	—	2	1	no	—
258	C₂₃×#117	C₂³	1	2	yes	—
259	C₂₃×#117	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
261	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
262	C₂×C₄⋊C₄×C₂₃	—	2	2	no	—
263	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
264	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
265	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
266	C₂₃×#107	C₂³	1	2	yes	—
267	C₂₃×#107	C₂³	1	2	yes	—
268	C₂₃×#107	C₂³	1	1	yes	characteristic
269	C₂₃×#107	C₂³	1	1	yes	characteristic
270	C₂₃×#107	C₂³	1	2	yes	—
271	C₂₃×#107	C₂³	1	2	yes	—
272	C₂₃×#106	C₂³	1	1	yes	characteristic
273	C₂₃×#106	C₂³	1	1	yes	characteristic
274	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₂₃×C₄⋊C₈	C₂³	1	2	yes	—
277	C₂₃×C₄⋊C₈	C₂³	1	2	yes	—
278	C₂₃×#103	C₂³	1	1	yes	characteristic
279	C₂₃×#103	C₂³	1	2	yes	—
280	C₂₃×#103	C₂³	1	2	yes	—
281	C₂₃×#103	C₂³	1	2	yes	—
282	C₂₃×#103	C₂³	1	1	yes	characteristic
283	C₂₃×#103	C₂³	1	2	yes	—
284	C₂₃×#103	C₂³	1	1	yes	characteristic
285	C₂₃×#103	C₂³	1	2	yes	—
286	C₂₃×#103	C₂³	1	2	yes	—
287	C₂₃×#103	C₂³	1	2	yes	—
288	C₂₃×#103	C₂³	1	2	yes	—
289	C₂₃×#103	C₂³	1	1	yes	characteristic
290	C₂₃×#103	C₂³	1	2	yes	—
291	C₂₃×#103	C₂³	1	2	yes	—
292	C₂₃×#103	C₂³	1	1	yes	characteristic
293	C₂₃×#103	C₂³	1	1	yes	characteristic
294	C₂₃×#102	C₂³	1	2	yes	—
295	C₂₃×#102	C₂³	1	2	yes	—
296	C₂₃×#102	C₂³	1	2	yes	—
297	C₂₃×#102	C₂³	1	2	yes	—
298	C₂₃×#102	C₂³	1	2	yes	—
299	C₂₃×#102	C₂³	1	2	yes	—
300	C₂₃×#102	C₂³	1	1	yes	characteristic
301	C₂₃×#102	C₂³	1	1	yes	characteristic
302	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
303	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₂₃×#97	C₂³	1	1	yes	characteristic
306	C₂₃×#97	C₂³	1	1	yes	characteristic
307	C₂₃×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₂₃	C₂³	1	2	yes	—
311	C₄×C₈×C₂₃	C₂³	1	2	yes	—
312	#41×C₂₃	—	4	2	no	—
313	#41×C₂₃	—	4	2	no	—
314	#41×C₂₃	—	4	2	no	—
315	#41×C₂₃	—	4	2	no	—
316	#41×C₂₃	—	8	4	no	—
317	C₂×Q₈×C₂₃	—	2	1	no	—
318	C₂×Q₈×C₂₃	—	2	2	no	—
319	C₂×Q₈×C₂₃	—	2	1	no	—
320	C₂×Q₈×C₂₃	—	2	2	no	—
321	C₂×Q₈×C₂₃	—	2	2	no	—
322	C₂×Q₈×C₂₃	—	2	1	no	—
323	C₂×Q₈×C₂₃	—	4	2	no	—
324	C₂×Q₈×C₂₃	—	4	2	no	—
325	C₂×Q₈×C₂₃	—	8	2	no	—
326	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
328	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
329	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₂₃	—	2	1	no	—
332	C₂×D₄×C₂₃	—	2	2	no	—
333	C₂×D₄×C₂₃	—	2	2	no	—
334	C₂×D₄×C₂₃	—	2	2	no	—
335	C₂×D₄×C₂₃	—	2	2	no	—
336	C₂×D₄×C₂₃	—	2	1	no	—
337	C₂×D₄×C₂₃	—	2	1	no	—
338	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₂₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
341	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₂₃	—	2	2	no	—
343	C₂²×C₄×C₂₃	—	2	2	no	—
344	C₂²×C₄×C₂₃	—	2	2	no	—
345	C₂²×C₄×C₂₃	—	2	1	no	—
346	C₂²×C₄×C₂₃	—	2	2	no	—
347	C₂²×C₄×C₂₃	—	2	2	no	—
348	C₂²×C₄×C₂₃	—	2	2	no	—
349	C₂²×C₄×C₂₃	—	2	2	no	—
350	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
354	Q₁₆×C₂₃	—	4	2	no	—
355	Q₁₆×C₂₃	—	4	1	no	—
356	Q₁₆×C₂₃	—	4	1	no	—
357	SD₁₆×C₂₃	—	4	2	no	—
358	SD₁₆×C₂₃	—	4	2	no	—
359	SD₁₆×C₂₃	—	4	1	no	—
360	SD₁₆×C₂₃	—	4	1	no	—
361	D₈×C₂₃	—	4	2	no	—
362	M₁₆×C₂₃	—	4	1	no	—
363	M₁₆×C₂₃	—	4	2	no	—
364	M₁₆×C₂₃	—	4	1	no	—
365	C₂×C₈×C₂₃	—	4	2	no	—
366	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
371	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
372	C₄⋊C₄×C₂₃	—	2	1	no	—
373	C₄⋊C₄×C₂₃	—	2	1	no	—
374	C₄⋊C₄×C₂₃	—	2	1	no	—
375	C₄⋊C₄×C₂₃	—	2	2	no	—
376	C₄⋊C₄×C₂₃	—	2	2	no	—
377	C₄⋊C₄×C₂₃	—	2	2	no	—
378	C₄⋊C₄×C₂₃	—	2	2	no	—
379	C₄⋊C₄×C₂₃	—	2	2	no	—
380	C₄⋊C₄×C₂₃	—	2	2	no	—
381	C₄⋊C₄×C₂₃	—	2	2	no	—
382	C₄⋊C₄×C₂₃	—	2	2	no	—
383	C₄⋊C₄×C₂₃	—	2	1	no	—
384	C₄⋊C₄×C₂₃	—	2	1	no	—
385	C₄⋊C₄×C₂₃	—	2	1	no	—
386	C₄⋊C₄×C₂₃	—	2	1	no	—
387	C₄⋊C₄×C₂₃	—	2	1	no	—
388	C₄⋊C₄×C₂₃	—	2	1	no	—
389	C₄⋊C₄×C₂₃	—	2	1	no	—
390	C₄⋊C₄×C₂₃	—	2	1	no	—
391	C₄⋊C₄×C₂₃	—	2	1	no	—
392	C₄⋊C₄×C₂₃	—	2	2	no	—
393	C₄⋊C₄×C₂₃	—	2	2	no	—
394	C₄⋊C₄×C₂₃	—	2	1	no	—
395	C₄⋊C₄×C₂₃	—	2	2	no	—
396	C₄⋊C₄×C₂₃	—	2	1	no	—
397	C₄⋊C₄×C₂₃	—	2	1	no	—
398	C₄⋊C₄×C₂₃	—	2	2	no	—
399	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
401	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
402	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
405	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
407	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
410	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
411	C₂²⋊C₄×C₂₃	—	2	1	no	—
412	C₂²⋊C₄×C₂₃	—	2	1	no	—
413	C₂²⋊C₄×C₂₃	—	2	1	no	—
414	C₂²⋊C₄×C₂₃	—	2	2	no	—
415	C₂²⋊C₄×C₂₃	—	2	2	no	—
416	C₂²⋊C₄×C₂₃	—	2	2	no	—
417	C₂²⋊C₄×C₂₃	—	2	1	no	—
418	C₂²⋊C₄×C₂₃	—	2	2	no	—
419	C₂²⋊C₄×C₂₃	—	2	1	no	—
420	C₂²⋊C₄×C₂₃	—	2	2	no	—
421	C₂²⋊C₄×C₂₃	—	2	2	no	—
422	C₂²⋊C₄×C₂₃	—	2	2	no	—
423	C₂²⋊C₄×C₂₃	—	2	2	no	—
424	C₂²⋊C₄×C₂₃	—	2	2	no	—
425	C₂²⋊C₄×C₂₃	—	2	1	no	—
426	C₂²⋊C₄×C₂₃	—	2	2	no	—
427	C₂²⋊C₄×C₂₃	—	2	1	no	—
428	C₂²⋊C₄×C₂₃	—	2	2	no	—
429	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
434	C₄²×C₂₃	—	2	2	no	—
435	C₄²×C₂₃	—	2	1	no	—
436	C₄²×C₂₃	—	2	1	no	—
437	C₄²×C₂₃	—	2	1	no	—
438	C₄²×C₂₃	—	2	2	no	—
439	C₄²×C₂₃	—	2	2	no	—
440	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
441	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
443	C₄²×C₂₃	C₂⁴	1	2	yes	—
444	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
445	#62619	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
446	C₂³×C₂₃	—	2	1	no	—
447	C₂³×C₂₃	—	2	2	no	—
448	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
449	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
450	Q₈×C₂₃	—	2	2	no	—
451	Q₈×C₂₃	—	2	1	no	—
452	Q₈×C₂₃	—	2	1	no	—
453	Q₈×C₂₃	—	2	2	no	—
454	Q₈×C₂₃	—	2	1	no	—
455	Q₈×C₂₃	—	2	1	no	—
456	Q₈×C₂₃	—	2	1	no	—
457	Q₈×C₂₃	—	2	2	no	—
458	Q₈×C₂₃	—	2	1	no	—
459	Q₈×C₂₃	—	8	1	no	—
460	Q₈×C₂₃	—	8	2	no	—
461	Q₈×C₂₃	—	8	1	no	—
462	Q₈×C₂₃	—	8	1	no	—
463	Q₈×C₂₃	—	8	2	no	—
464	Q₈×C₂₃	—	8	2	no	—
465	D₄×C₂₃	—	2	2	no	—
466	D₄×C₂₃	—	2	1	no	—
467	D₄×C₂₃	—	2	2	no	—
468	D₄×C₂₃	—	2	1	no	—
469	D₄×C₂₃	—	2	2	no	—
470	D₄×C₂₃	—	4	2	no	—
471	D₄×C₂₃	—	4	2	no	—
472	D₄×C₂₃	—	4	2	no	—
473	D₄×C₂₃	—	8	1	no	—
474	D₄×C₂₃	—	8	2	no	—
475	D₄×C₂₃	—	8	2	no	—
476	D₄×C₂₃	—	8	2	no	—
477	D₄×C₂₃	—	8	2	no	—
478	C₂×C₄×C₂₃	—	2	2	no	—
479	C₂×C₄×C₂₃	—	2	2	no	—
480	C₂×C₄×C₂₃	—	2	2	no	—
481	C₂×C₄×C₂₃	—	2	1	no	—
482	C₂×C₄×C₂₃	—	2	1	no	—
483	C₂×C₄×C₂₃	—	2	1	no	—
484	C₂×C₄×C₂₃	—	2	1	no	—
485	C₂×C₄×C₂₃	—	2	1	no	—
486	C₂×C₄×C₂₃	—	2	2	no	—
487	C₂×C₄×C₂₃	—	2	1	no	—
488	C₂×C₄×C₂₃	—	2	1	no	—
489	C₂×C₄×C₂₃	—	2	2	no	—
490	C₂×C₄×C₂₃	—	2	1	no	—
491	C₂×C₄×C₂₃	—	2	1	no	—
492	C₂×C₄×C₂₃	—	2	2	no	—
493	C₂×C₄×C₂₃	—	4	1	no	—
494	C₂×C₄×C₂₃	—	4	4	no	—
495	C₂×C₄×C₂₃	—	4	2	no	—
496	C₂×C₄×C₂₃	—	8	2	no	—
497	C₂×C₄×C₂₃	—	8	2	no	—
498	C₂×C₄×C₂₃	—	8	2	no	—
499	C₂×C₄×C₂₃	—	8	2	no	—
500	C₂×C₄×C₂₃	—	8	2	no	—
501	C₂×C₄×C₂₃	—	8	2	no	—
502	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
503	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
511	C₈×C₂₃	—	2	1	no	—
512	C₈×C₂₃	—	2	2	no	—
513	C₈×C₂₃	—	2	1	no	—
514	C₈×C₂₃	—	2	2	no	—
515	C₈×C₂₃	—	2	1	no	—
516	C₈×C₂₃	—	2	1	no	—
517	#3554	C₂×C₂₃	1	1	yes	characteristic, complemented
518	#3544	C₂×C₂₃	1	1	yes	characteristic, complemented
519	#3375	C₂×C₂₃	1	1	yes	characteristic, complemented
520	#3372	C₂×C₂₃	1	1	yes	characteristic, complemented
521	#3363	C₂×C₂₃	1	1	yes	characteristic, complemented
522	#3361	C₂×C₂₃	1	1	yes	characteristic, complemented
523	#3333	C₂×C₂₃	1	1	yes	characteristic, complemented
524	#3330	C₂×C₂₃	1	2	yes	complemented
525	#3329	C₂×C₂₃	1	1	yes	characteristic, complemented
526	#3327	C₂×C₂₃	1	2	yes	complemented
527	#3315	C₂×C₂₃	1	2	yes	complemented
528	#3308	C₂×C₂₃	1	2	yes	complemented
529	#3305	C₂×C₂₃	1	1	yes	characteristic, complemented
530	#3299	C₂×C₂₃	1	1	yes	characteristic, complemented
531	#3243	C₂×C₂₃	1	2	yes	complemented
532	#3230	C₂×C₂₃	1	1	yes	characteristic, complemented
533	#3225	C₂×C₂₃	1	2	yes	complemented
534	#3212	C₂×C₂₃	1	1	yes	characteristic, complemented
535	#3175	C₂×C₂₃	1	2	yes	complemented
536	#3172	C₂×C₂₃	1	1	yes	characteristic, complemented
537	#3141	C₂×C₂₃	1	1	yes	characteristic, complemented
538	#3137	C₂×C₂₃	1	2	yes	complemented
539	#2969	C₂×C₂₃	1	1	yes	characteristic, complemented
540	C₂²×C₂₃	—	2	1	no	—
541	C₂²×C₂₃	—	2	2	no	—
542	C₂²×C₂₃	—	2	2	no	—
543	C₂²×C₂₃	—	2	1	no	—
544	C₂²×C₂₃	—	2	1	no	—
545	C₂²×C₂₃	—	2	2	no	—
546	C₂²×C₂₃	—	4	1	no	—
547	C₂²×C₂₃	—	4	2	no	—
548	C₂²×C₂₃	—	4	2	no	—
549	C₂²×C₂₃	—	4	1	no	—
550	C₂²×C₂₃	—	4	1	no	—
551	C₂²×C₂₃	—	4	2	no	—
552	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
553	C₄×C₂₃	—	2	1	no	—
554	C₄×C₂₃	—	2	1	no	—
555	C₄×C₂₃	—	2	2	no	—
556	C₄×C₂₃	—	2	1	no	—
557	C₄×C₂₃	—	2	2	no	—
558	C₄×C₂₃	—	2	1	no	—
559	C₄×C₂₃	—	2	2	no	—
560	C₄×C₂₃	—	4	2	no	—
561	C₄×C₂₃	—	4	2	no	—
562	C₄×C₂₃	—	4	1	no	—
563	C₄×C₂₃	—	4	1	no	—
564	C₄×C₂₃	—	4	1	no	—
565	C₄×C₂₃	—	4	1	no	—
566	C₄×C₂₃	—	4	2	no	—
567	C₄×C₂₃	—	4	1	no	—
568	C₄×C₂₃	—	4	1	no	—
569	C₄×C₂₃	—	4	1	no	—
570	C₄×C₂₃	#578	1	2	yes	—
571	C₄×C₂₃	#585	1	1	yes	characteristic
572	C₄×C₂₃	#585	1	1	yes	characteristic
573	#563	—	2	2	no	—
574	#562	—	2	2	no	—
575	#559	—	2	1	no	—
576	#559	C₂²×C₂₃	1	1	yes	characteristic
577	Q₈²	C₂²×C₂₃	1	1	yes	characteristic
578	#557	C₂²×C₂₃	1	1	yes	characteristic
579	#555	C₂²×C₂₃	1	1	yes	characteristic
580	#554	—	2	1	no	—
581	#554	C₂²×C₂₃	1	1	yes	characteristic
582	#554	C₂²×C₂₃	1	1	yes	characteristic
583	#552	—	2	1	no	—
584	#552	C₂²×C₂₃	1	2	yes	—
585	#550	C₂²×C₂₃	1	1	yes	characteristic
586	D₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
587	#548	C₂²×C₂₃	1	2	yes	—
588	#547	—	2	1	no	—
589	#547	C₂²×C₂₃	1	2	yes	—
590	#547	C₂²×C₂₃	1	2	yes	—
591	#544	—	2	1	no	—
592	#544	C₂²×C₂₃	1	2	yes	—
593	#542	—	2	1	no	—
594	#542	—	2	1	no	—
595	#542	C₂²×C₂₃	1	2	yes	—
596	#542	C₂²×C₂₃	1	2	yes	—
597	#540	—	2	1	no	—
598	#539	—	2	2	no	—
599	#536	—	2	2	no	—
600	#536	C₂²×C₂₃	1	2	yes	—
601	#533	C₂²×C₂₃	1	1	yes	characteristic
602	#532	C₂²×C₂₃	1	1	yes	characteristic
603	C₂×C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
604	#529	C₂²×C₂₃	1	1	yes	characteristic
605	#529	C₂²×C₂₃	1	1	yes	characteristic
606	#501	C₂²×C₂₃	1	1	yes	characteristic
607	#500	C₂²×C₂₃	1	2	yes	—
608	#497	C₂²×C₂₃	1	1	yes	characteristic
609	#495	C₂²×C₂₃	1	2	yes	—
610	#491	C₂²×C₂₃	1	2	yes	—
611	#491	C₂²×C₂₃	1	1	yes	characteristic
612	#489	C₂²×C₂₃	1	2	yes	—
613	#489	C₂²×C₂₃	1	2	yes	—
614	#489	C₂²×C₂₃	1	2	yes	—
615	#489	C₂²×C₂₃	1	1	yes	characteristic
616	#488	C₂²×C₂₃	1	2	yes	—
617	#488	C₂²×C₂₃	1	2	yes	—
618	#487	C₂²×C₂₃	1	1	yes	characteristic
619	#487	C₂²×C₂₃	1	2	yes	—
620	#487	C₂²×C₂₃	1	1	yes	characteristic
621	#487	C₂²×C₂₃	1	2	yes	—
622	#486	C₂²×C₂₃	1	1	yes	characteristic
623	#486	C₂²×C₂₃	1	1	yes	characteristic
624	#485	C₂²×C₂₃	1	2	yes	—
625	#484	C₂²×C₂₃	1	2	yes	—
626	#484	C₂²×C₂₃	1	2	yes	—
627	#484	C₂²×C₂₃	1	2	yes	—
628	#482	C₂²×C₂₃	1	2	yes	—
629	#480	C₂²×C₂₃	1	2	yes	—
630	#479	C₂²×C₂₃	1	2	yes	—
631	#478	C₂²×C₂₃	1	2	yes	—
632	#477	C₂²×C₂₃	1	1	yes	characteristic
633	#477	C₂²×C₂₃	1	1	yes	characteristic
634	#477	C₂²×C₂₃	1	1	yes	characteristic
635	#477	C₂²×C₂₃	1	1	yes	characteristic
636	#477	C₂²×C₂₃	1	2	yes	—
637	#474	C₂²×C₂₃	1	2	yes	—
638	#470	C₂²×C₂₃	1	1	yes	characteristic
639	#470	C₂²×C₂₃	1	1	yes	characteristic
640	#468	C₂²×C₂₃	1	2	yes	—
641	#468	C₂²×C₂₃	1	1	yes	characteristic
642	#468	C₂²×C₂₃	1	2	yes	—
643	#468	C₂²×C₂₃	1	1	yes	characteristic
644	#467	C₂²×C₂₃	1	2	yes	—
645	#466	C₂²×C₂₃	1	2	yes	—
646	#464	C₂²×C₂₃	1	2	yes	—
647	#463	C₂²×C₂₃	1	2	yes	—
648	#462	C₂²×C₂₃	1	1	yes	characteristic
649	#462	C₂²×C₂₃	1	2	yes	—
650	#461	C₂²×C₂₃	1	1	yes	characteristic
651	#461	C₂²×C₂₃	1	2	yes	—
652	#460	C₂²×C₂₃	1	1	yes	characteristic
653	#459	C₂²×C₂₃	1	1	yes	characteristic
654	#452	C₂²×C₂₃	1	2	yes	—
655	#452	C₂²×C₂₃	1	2	yes	—
656	#451	C₂²×C₂₃	1	2	yes	—
657	#449	C₂²×C₂₃	1	2	yes	—
658	#449	C₂²×C₂₃	1	2	yes	—
659	#448	C₂²×C₂₃	1	2	yes	—
660	#446	C₂²×C₂₃	1	1	yes	characteristic
661	C₈×Q₈	C₂²×C₂₃	1	1	yes	characteristic
662	#440	C₂²×C₂₃	1	2	yes	—
663	#440	C₂²×C₂₃	1	2	yes	—
664	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic
665	C₄×Q₁₆	C₂²×C₂₃	1	2	yes	—
666	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic
667	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
668	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
669	C₄×D₈	C₂²×C₂₃	1	2	yes	—
670	#436	C₂²×C₂₃	1	1	yes	characteristic
671	#436	C₂²×C₂₃	1	2	yes	—
672	#435	C₂²×C₂₃	1	2	yes	—
673	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic
674	#433	C₂²×C₂₃	1	2	yes	—
675	#431	C₂²×C₂₃	1	1	yes	characteristic
676	#419	C₂²×C₂₃	1	2	yes	—
677	#417	C₂²×C₂₃	1	2	yes	—
678	#417	C₂²×C₂₃	1	2	yes	—
679	#417	C₂²×C₂₃	1	2	yes	—
680	#416	C₂²×C₂₃	1	2	yes	—
681	C₂×#103	C₂²×C₂₃	1	2	yes	—
682	#405	C₂²×C₂₃	1	2	yes	—
683	C₄×M₁₆	C₂²×C₂₃	1	1	yes	characteristic
684	C₂×C₂₃	—	4	1	no	—
685	C₂×C₂₃	—	4	2	no	—
686	C₂×C₂₃	—	8	1	no	—
687	C₂×C₂₃	—	8	2	no	—
688	C₂×C₂₃	#3500	1	1	yes	characteristic
689	C₂×C₂₃	C₂×#578	1	1	yes	characteristic
690	C₂×C₂₃	#3585	1	1	yes	characteristic
691	C₂×#41	—	2	2	no	—
692	C₂×#41	C₂³×C₂₃	1	2	yes	—
693	C₂×#41	C₂³×C₂₃	1	2	yes	—
694	C₂²×Q₈	—	2	1	no	—
695	C₂²×Q₈	C₂³×C₂₃	1	2	yes	—
696	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
697	C₂×Q₁₆	C₂³×C₂₃	1	2	yes	—
698	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
699	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
700	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
701	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
703	C₂×D₈	C₂³×C₂₃	1	2	yes	—
704	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
705	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
706	C₂×M₁₆	C₂³×C₂₃	1	2	yes	—
707	C₂²×C₈	C₂³×C₂₃	1	2	yes	—
708	C₄⋊Q₈	—	2	2	no	—
709	C₄⋊Q₈	—	2	2	no	—
710	C₄⋊Q₈	—	2	1	no	—
711	C₄⋊Q₈	—	2	1	no	—
712	C₄⋊Q₈	—	2	1	no	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
715	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
717	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
718	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
722	#127	—	2	1	no	—
723	#127	C₂³×C₂₃	1	1	yes	characteristic
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	1	no	—
728	#126	D₄×C₂₃	1	2	yes	—
729	#125	—	2	2	no	—
730	#125	—	2	1	no	—
731	#125	—	2	1	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	1	no	—
735	#125	D₄×C₂₃	1	1	yes	characteristic
736	#125	C₂³×C₂₃	1	1	yes	characteristic
737	#125	C₂³×C₂₃	1	2	yes	—
738	#124	—	2	1	no	—
739	#124	—	2	2	no	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	—	2	2	no	—
743	#124	D₄×C₂₃	1	1	yes	characteristic
744	#124	C₂³×C₂₃	1	1	yes	characteristic
745	#124	C₂³×C₂₃	1	2	yes	—
746	#124	C₂³×C₂₃	1	2	yes	—
747	#123	—	2	2	no	—
748	#123	—	2	1	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	D₄×C₂₃	1	2	yes	—
759	C₂²⋊Q₈	—	2	1	no	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
773	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
774	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
775	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
776	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
777	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
778	#121	—	2	2	no	—
779	#121	—	2	2	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	—	2	1	no	—
783	#121	—	2	2	no	—
784	#121	D₄×C₂₃	1	1	yes	characteristic
785	#121	C₂³×C₂₃	1	1	yes	characteristic
786	#121	C₂³×C₂₃	1	2	yes	—
787	#121	C₂³×C₂₃	1	2	yes	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
793	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
794	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
795	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
796	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₂₃	1	2	yes	—
807	C₄×D₄	C₂³×C₂₃	1	2	yes	—
808	C₄×D₄	C₂³×C₂₃	1	2	yes	—
809	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
810	#117	—	2	1	no	—
811	#117	—	2	1	no	—
812	#117	—	2	2	no	—
813	#117	—	2	1	no	—
814	#117	C₂³×C₂₃	1	2	yes	—
815	#117	C₂³×C₂₃	1	2	yes	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	—	2	2	no	—
818	C₂×C₄⋊C₄	—	2	1	no	—
819	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
820	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
821	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
822	#107	C₂³×C₂₃	1	2	yes	—
823	#107	C₂³×C₂₃	1	2	yes	—
824	#107	C₂³×C₂₃	1	1	yes	characteristic
825	#107	C₂³×C₂₃	1	1	yes	characteristic
826	#107	C₂³×C₂₃	1	2	yes	—
827	#107	C₂³×C₂₃	1	2	yes	—
828	#106	C₂³×C₂₃	1	1	yes	characteristic
829	#106	C₂³×C₂₃	1	1	yes	characteristic
830	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
831	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
832	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
833	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
834	#103	C₂³×C₂₃	1	1	yes	characteristic
835	#103	C₂³×C₂₃	1	2	yes	—
836	#103	C₂³×C₂₃	1	2	yes	—
837	#103	C₂³×C₂₃	1	2	yes	—
838	#103	C₂³×C₂₃	1	1	yes	characteristic
839	#103	C₂³×C₂₃	1	2	yes	—
840	#103	C₂³×C₂₃	1	1	yes	characteristic
841	#103	C₂³×C₂₃	1	2	yes	—
842	#103	C₂³×C₂₃	1	2	yes	—
843	#103	C₂³×C₂₃	1	2	yes	—
844	#103	C₂³×C₂₃	1	2	yes	—
845	#103	C₂³×C₂₃	1	1	yes	characteristic
846	#103	C₂³×C₂₃	1	2	yes	—
847	#103	C₂³×C₂₃	1	2	yes	—
848	#103	C₂³×C₂₃	1	1	yes	characteristic
849	#103	C₂³×C₂₃	1	1	yes	characteristic
850	#102	C₂³×C₂₃	1	2	yes	—
851	#102	C₂³×C₂₃	1	2	yes	—
852	#102	C₂³×C₂₃	1	2	yes	—
853	#102	C₂³×C₂₃	1	2	yes	—
854	#102	C₂³×C₂₃	1	2	yes	—
855	#102	C₂³×C₂₃	1	2	yes	—
856	#102	C₂³×C₂₃	1	1	yes	characteristic
857	#102	C₂³×C₂₃	1	1	yes	characteristic
858	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
859	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
860	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
861	#97	C₂³×C₂₃	1	1	yes	characteristic
862	#97	C₂³×C₂₃	1	1	yes	characteristic
863	#97	C₂³×C₂₃	1	2	yes	—
864	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
865	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
866	C₄×C₈	C₂³×C₂₃	1	2	yes	—
867	C₄×C₈	C₂³×C₂₃	1	2	yes	—
868	C₂₃	#62619	1	1	yes	characteristic, direct product factor, Sylow
869	#41	—	4	2	no	—
870	#41	—	4	2	no	—
871	#41	—	4	2	no	—
872	#41	—	4	2	no	—
873	#41	—	8	4	no	—
874	C₂×Q₈	—	2	1	no	—
875	C₂×Q₈	—	2	2	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	2	no	—
879	C₂×Q₈	—	2	1	no	—
880	C₂×Q₈	—	4	2	no	—
881	C₂×Q₈	—	4	2	no	—
882	C₂×Q₈	—	8	2	no	—
883	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
884	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
885	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
886	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
887	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
888	C₂×D₄	—	2	1	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	—	2	1	no	—
895	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
896	C₂×D₄	C₂×D₄×C₂₃	1	2	yes	—
897	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
898	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
908	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
911	Q₁₆	—	4	2	no	—
912	Q₁₆	—	4	1	no	—
913	Q₁₆	—	4	1	no	—
914	SD₁₆	—	4	2	no	—
915	SD₁₆	—	4	2	no	—
916	SD₁₆	—	4	1	no	—
917	SD₁₆	—	4	1	no	—
918	D₈	—	4	2	no	—
919	M₁₆	—	4	1	no	—
920	M₁₆	—	4	2	no	—
921	M₁₆	—	4	1	no	—
922	C₂×C₈	—	4	2	no	—
923	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
924	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
925	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
926	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
927	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
928	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
957	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
958	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
959	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
960	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
962	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
964	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
987	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
988	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
989	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
990	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	2	no	—
996	C₄²	—	2	2	no	—
997	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
998	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
999	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1000	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1001	C₄²	C₂⁴×C₂₃	1	2	yes	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
1005	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1006	Q₈	—	2	2	no	—
1007	Q₈	—	2	1	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	1	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	8	2	no	—
1016	Q₈	—	8	1	no	—
1017	Q₈	—	8	1	no	—
1018	Q₈	—	8	2	no	—
1019	Q₈	—	8	2	no	—
1020	Q₈	—	8	1	no	—
1021	D₄	—	2	2	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	2	1	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	4	2	no	—
1027	D₄	—	4	2	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	8	1	no	—
1030	D₄	—	8	2	no	—
1031	D₄	—	8	2	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	4	1	no	—
1050	C₂×C₄	—	4	4	no	—
1051	C₂×C₄	—	4	2	no	—
1052	C₂×C₄	—	8	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	—	8	2	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1059	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1060	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1061	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1064	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1066	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1067	C₈	—	2	1	no	—
1068	C₈	—	2	2	no	—
1069	C₈	—	2	1	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	1	no	—
1072	C₈	—	2	1	no	—
1073	C₂²	—	2	2	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	2	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1086	C₄	—	2	1	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	2	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	C₂₃×#578	1	2	yes	—
1104	C₄	C₂₃×#585	1	1	yes	characteristic
1105	C₄	C₂₃×#585	1	1	yes	characteristic
1106	C₂	—	4	2	no	—
1107	C₂	—	4	1	no	—
1108	C₂	—	8	2	no	—
1109	C₂	—	8	1	no	—
1110	C₂	C₂₃×#3500	1	1	yes	characteristic
1111	C₂	C₂×C₂₃×#578	1	1	yes	characteristic
1112	C₂	C₂₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₃
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×#3554	C₂	semidirect
2. C₂₃×#3544	C₂	semidirect
3. C₂₃×#3375	C₂	semidirect
4. C₂₃×#3372	C₂	semidirect
5. C₂₃×#3363	C₂	semidirect
6. C₂₃×#3361	C₂	semidirect
7. C₂₃×#3333	C₂	semidirect
8. C₂₃×#3330	C₂	semidirect
9. C₂₃×#3329	C₂	semidirect
10. C₂₃×#3327	C₂	semidirect
11. C₂₃×#3315	C₂	semidirect
12. C₂₃×#3308	C₂	semidirect
13. C₂₃×#3305	C₂	semidirect
14. C₂₃×#3299	C₂	semidirect
15. C₂₃×#3243	C₂	semidirect
16. C₂₃×#3230	C₂	semidirect
17. C₂₃×#3225	C₂	semidirect
18. C₂₃×#3212	C₂	semidirect
19. C₂₃×#3175	C₂	semidirect
20. C₂₃×#3172	C₂	semidirect
21. C₂₃×#3141	C₂	semidirect
22. C₂₃×#3137	C₂	semidirect
23. C₂₃×#2969	C₂	semidirect
445. #62619	C₂₃	direct (N × H)
517. #3554	C₂×C₂₃	semidirect
518. #3544	C₂×C₂₃	semidirect
519. #3375	C₂×C₂₃	semidirect
520. #3372	C₂×C₂₃	semidirect
521. #3363	C₂×C₂₃	semidirect
522. #3361	C₂×C₂₃	semidirect
523. #3333	C₂×C₂₃	semidirect
524. #3330	C₂×C₂₃	semidirect
525. #3329	C₂×C₂₃	semidirect
526. #3327	C₂×C₂₃	semidirect
527. #3315	C₂×C₂₃	semidirect
528. #3308	C₂×C₂₃	semidirect
529. #3305	C₂×C₂₃	semidirect
530. #3299	C₂×C₂₃	semidirect
531. #3243	C₂×C₂₃	semidirect
532. #3230	C₂×C₂₃	semidirect
533. #3225	C₂×C₂₃	semidirect
534. #3212	C₂×C₂₃	semidirect
535. #3175	C₂×C₂₃	semidirect
536. #3172	C₂×C₂₃	semidirect
537. #3141	C₂×C₂₃	semidirect
538. #3137	C₂×C₂₃	semidirect
539. #2969	C₂×C₂₃	semidirect
868. C₂₃	#62619	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×#3554	2
C₂₃×#3544	2
C₂₃×#3375	2
C₂₃×#3372	2
C₂₃×#3363	2
C₂₃×#3361	2
C₂₃×#3333	2
C₂₃×#3330	2
C₂₃×#3329	2
C₂₃×#3327	2
C₂₃×#3315	2
C₂₃×#3308	2
C₂₃×#3305	2
C₂₃×#3299	2
C₂₃×#3243	2
C₂₃×#3230	2
C₂₃×#3225	2
C₂₃×#3212	2
C₂₃×#3175	2
C₂₃×#3172	2
C₂₃×#3141	2
C₂₃×#3137	2
C₂₃×#2969	2
#62619	23

Subgroups — C23×#62619 #19210245

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#62619 #19210245