Subgroups — C₂₃×#62551 #19210177

Order 5888.

1698 conjugacy classes of subgroups.

The subgroup lattice has 1108 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3544	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3363	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3331	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3312	C₂	1	2	yes	maximal, complemented
10	C₂₃×#3308	C₂	1	2	yes	maximal, complemented
11	C₂₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#3300	C₂	1	2	yes	maximal, complemented
13	C₂₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3298	C₂	1	2	yes	maximal, complemented
15	C₂₃×#3242	C₂	1	2	yes	maximal, complemented
16	C₂₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3225	C₂	1	2	yes	maximal, complemented
18	C₂₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3178	C₂	1	2	yes	maximal, complemented
20	C₂₃×#3168	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3137	C₂	1	2	yes	maximal, complemented
22	C₂×C₂₃×#487	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#563	—	2	2	no	—
25	C₂₃×#563	—	2	2	no	—
26	Q₈²×C₂₃	C₂²	1	1	yes	characteristic
27	C₂₃×#557	C₂²	1	1	yes	characteristic
28	C₂₃×#556	C₂²	1	1	yes	characteristic
29	C₂₃×#555	C₂²	1	1	yes	characteristic
30	C₂₃×#554	—	2	1	no	—
31	C₂₃×#554	C₂²	1	1	yes	characteristic
32	C₂₃×#554	C₂²	1	1	yes	characteristic
33	C₂₃×#553	—	2	1	no	—
34	C₂₃×#552	—	2	1	no	—
35	C₂₃×#552	C₂²	1	2	yes	—
36	D₄×Q₈×C₂₃	C₂²	1	2	yes	—
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	1	yes	characteristic
41	C₂₃×#547	C₂²	1	2	yes	—
42	C₂₃×#544	—	2	1	no	—
43	C₂₃×#544	—	2	1	no	—
44	C₂₃×#544	C₂²	1	2	yes	—
45	C₂₃×#542	—	2	1	no	—
46	C₂₃×#542	—	2	1	no	—
47	C₂₃×#542	C₂²	1	2	yes	—
48	C₂₃×#541	C₂²	1	2	yes	—
49	C₂₃×#539	—	2	2	no	—
50	C₂₃×#536	—	2	2	no	—
51	C₂₃×#536	C₂²	1	2	yes	—
52	C₂×C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂×C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
54	C₂₃×#529	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	2	yes	—
58	C₂₃×#499	C₂²	1	1	yes	characteristic
59	C₂₃×#497	C₂²	1	2	yes	—
60	C₂₃×#495	C₂²	1	1	yes	characteristic
61	C₂₃×#491	C₂²	1	2	yes	—
62	C₂₃×#491	C₂²	1	2	yes	—
63	C₂₃×#489	C₂²	1	2	yes	—
64	C₂₃×#489	C₂²	1	2	yes	—
65	C₂₃×#488	C₂²	1	1	yes	characteristic
66	C₂₃×#488	C₂²	1	1	yes	characteristic
67	C₂₃×#488	C₂²	1	2	yes	—
68	C₂₃×#487	C₂²	1	2	yes	—
69	C₂₃×#487	C₂²	1	2	yes	—
70	C₂₃×#487	C₂²	1	2	yes	—
71	C₂₃×#487	C₂²	1	1	yes	characteristic
72	C₂₃×#487	C₂²	1	1	yes	characteristic
73	C₂₃×#487	C₂²	1	1	yes	characteristic
74	C₂₃×#487	C₂²	1	1	yes	characteristic
75	C₂₃×#485	C₂²	1	2	yes	—
76	C₂₃×#485	C₂²	1	2	yes	—
77	C₂₃×#484	C₂²	1	2	yes	—
78	C₂₃×#483	C₂²	1	2	yes	—
79	C₂₃×#483	C₂²	1	2	yes	—
80	C₂₃×#480	C₂²	1	2	yes	—
81	C₂₃×#479	C₂²	1	2	yes	—
82	C₂₃×#479	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	2	yes	—
86	C₂₃×#476	C₂²	1	1	yes	characteristic
87	C₂₃×#476	C₂²	1	1	yes	characteristic
88	C₂₃×#475	C₂²	1	2	yes	—
89	C₂₃×#470	C₂²	1	2	yes	—
90	C₂₃×#468	C₂²	1	2	yes	—
91	C₂₃×#467	C₂²	1	1	yes	characteristic
92	C₂₃×#467	C₂²	1	2	yes	—
93	C₂₃×#466	C₂²	1	1	yes	characteristic
94	C₂₃×#465	C₂²	1	1	yes	characteristic
95	C₂₃×#465	C₂²	1	1	yes	characteristic
96	C₂₃×#465	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	1	yes	characteristic
101	C₂₃×#462	C₂²	1	2	yes	—
102	C₂₃×#461	C₂²	1	1	yes	characteristic
103	C₂₃×#461	C₂²	1	1	yes	characteristic
104	C₂₃×#461	C₂²	1	2	yes	—
105	C₂₃×#452	C₂²	1	2	yes	—
106	C₂₃×#451	C₂²	1	2	yes	—
107	C₂₃×#451	C₂²	1	2	yes	—
108	C₂₃×#449	C₂²	1	2	yes	—
109	C₂₃×#448	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×#441	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	2	yes	—
117	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₂₃	C₂²	1	2	yes	—
120	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic
121	C₂₃×#436	C₂²	1	1	yes	characteristic
122	C₂₃×#435	C₂²	1	2	yes	—
123	C₈×D₄×C₂₃	C₂²	1	2	yes	—
124	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic
125	C₂₃×#433	C₂²	1	2	yes	—
126	C₂₃×#432	C₂²	1	1	yes	characteristic
127	C₂₃×#419	C₂²	1	2	yes	—
128	C₂₃×#417	C₂²	1	2	yes	—
129	C₂₃×#416	C₂²	1	2	yes	—
130	C₂×C₂₃×#103	C₂²	1	2	yes	—
131	C₂×C₂₃×#103	C₂²	1	2	yes	—
132	C₂×C₂₃×#103	C₂²	1	2	yes	—
133	C₂₃×#405	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₂₃	C₂²	1	1	yes	characteristic
135	C₂×#41×C₂₃	—	2	2	no	—
136	C₂×#41×C₂₃	C₂³	1	2	yes	—
137	C₂²×Q₈×C₂₃	—	2	1	no	—
138	C₂²×Q₈×C₂₃	C₂³	1	2	yes	—
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	2	yes	—
143	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
145	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
146	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
147	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
148	C₂×M₁₆×C₂₃	C₂³	1	2	yes	—
149	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
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	2	no	—
157	C₂₃×C₄⋊Q₈	—	2	1	no	—
158	C₂₃×C₄⋊Q₈	—	2	1	no	—
159	C₂₃×C₄⋊Q₈	—	2	1	no	—
160	C₂₃×C₄⋊Q₈	—	2	1	no	—
161	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
169	C₂₃×#126	—	2	2	no	—
170	C₂₃×#126	—	2	2	no	—
171	C₂₃×#126	—	2	2	no	—
172	C₂₃×#126	—	2	2	no	—
173	C₂₃×#126	—	2	2	no	—
174	C₂₃×#126	—	2	1	no	—
175	C₂₃×#126	—	2	1	no	—
176	C₂₃×#126	D₄	1	2	yes	—
177	C₂₃×#125	—	2	1	no	—
178	C₂₃×#125	—	2	2	no	—
179	C₂₃×#125	—	2	2	no	—
180	C₂₃×#125	—	2	1	no	—
181	C₂₃×#125	—	2	2	no	—
182	C₂₃×#125	—	2	2	no	—
183	C₂₃×#125	—	2	2	no	—
184	C₂₃×#125	D₄	1	1	yes	characteristic
185	C₂₃×#125	C₂³	1	2	yes	—
186	C₂₃×#125	C₂³	1	1	yes	characteristic
187	C₂₃×#125	C₂³	1	1	yes	characteristic
188	C₂₃×#124	—	2	2	no	—
189	C₂₃×#124	—	2	2	no	—
190	C₂₃×#124	—	2	2	no	—
191	C₂₃×#124	D₄	1	1	yes	characteristic
192	C₂₃×#124	C₂³	1	2	yes	—
193	C₂₃×#124	C₂³	1	1	yes	characteristic
194	C₂₃×#124	C₂³	1	1	yes	characteristic
195	C₂₃×#123	—	2	2	no	—
196	C₂₃×#123	—	2	1	no	—
197	C₂₃×#123	—	2	1	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	—	2	2	no	—
203	C₂₃×#123	—	2	2	no	—
204	C₂₃×#123	D₄	1	2	yes	—
205	C₂₃×C₂²⋊Q₈	—	2	1	no	—
206	C₂₃×C₂²⋊Q₈	—	2	1	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	—	2	2	no	—
217	C₂₃×C₂²⋊Q₈	—	2	2	no	—
218	C₂₃×C₂²⋊Q₈	—	2	2	no	—
219	C₂₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
220	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
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	1	yes	characteristic
232	C₄×Q₈×C₂₃	—	2	1	no	—
233	C₄×Q₈×C₂₃	—	2	1	no	—
234	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
238	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₂₃	—	2	1	no	—
241	C₄×D₄×C₂₃	—	2	2	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	2	no	—
246	C₄×D₄×C₂₃	C₂³	1	2	yes	—
247	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₂₃	C₂³	1	2	yes	—
250	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
251	C₂₃×#117	—	2	1	no	—
252	C₂₃×#117	—	2	1	no	—
253	C₂₃×#117	—	2	2	no	—
254	C₂₃×#117	—	2	1	no	—
255	C₂₃×#117	—	2	1	no	—
256	C₂₃×#117	C₂³	1	2	yes	—
257	C₂₃×#117	C₂³	1	2	yes	—
258	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
259	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
260	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
261	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
262	C₂×C₄⋊C₄×C₂₃	—	2	1	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	1	yes	characteristic
267	C₂₃×#107	C₂³	1	1	yes	characteristic
268	C₂₃×#107	C₂³	1	2	yes	—
269	C₂₃×#107	C₂³	1	2	yes	—
270	C₂₃×#106	C₂³	1	1	yes	characteristic
271	C₂₃×#106	C₂³	1	1	yes	characteristic
272	C₂₃×#106	C₂³	1	2	yes	—
273	C₂₃×#106	C₂³	1	2	yes	—
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	2	yes	—
279	C₂₃×#103	C₂³	1	1	yes	characteristic
280	C₂₃×#103	C₂³	1	2	yes	—
281	C₂₃×#103	C₂³	1	2	yes	—
282	C₂₃×#103	C₂³	1	2	yes	—
283	C₂₃×#103	C₂³	1	2	yes	—
284	C₂₃×#103	C₂³	1	2	yes	—
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	2	yes	—
290	C₂₃×#103	C₂³	1	2	yes	—
291	C₂₃×#103	C₂³	1	1	yes	characteristic
292	C₂₃×#103	C₂³	1	2	yes	—
293	C₂₃×#103	C₂³	1	2	yes	—
294	C₂₃×#103	C₂³	1	1	yes	characteristic
295	C₂₃×#103	C₂³	1	1	yes	characteristic
296	C₂₃×#102	C₂³	1	1	yes	characteristic
297	C₂₃×#102	C₂³	1	2	yes	—
298	C₂₃×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
306	C₂₃×#97	C₂³	1	2	yes	—
307	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
308	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₂₃	C₂³	1	2	yes	—
312	#41×C₂₃	—	4	2	no	—
313	#41×C₂₃	—	4	2	no	—
314	#41×C₂₃	—	8	4	no	—
315	C₂×Q₈×C₂₃	—	2	2	no	—
316	C₂×Q₈×C₂₃	—	2	1	no	—
317	C₂×Q₈×C₂₃	—	2	2	no	—
318	C₂×Q₈×C₂₃	—	2	2	no	—
319	C₂×Q₈×C₂₃	—	2	2	no	—
320	C₂×Q₈×C₂₃	—	2	1	no	—
321	C₂×Q₈×C₂₃	—	4	2	no	—
322	C₂×Q₈×C₂₃	—	4	2	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	2	yes	—
328	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₂₃	—	2	1	no	—
332	C₂×D₄×C₂₃	—	2	1	no	—
333	C₂×D₄×C₂₃	—	2	2	no	—
334	C₂×D₄×C₂₃	—	2	2	no	—
335	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
336	C₂×D₄×C₂₃	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₂₃	—	2	2	no	—
340	C₂²×C₄×C₂₃	—	2	2	no	—
341	C₂²×C₄×C₂₃	—	2	2	no	—
342	C₂²×C₄×C₂₃	—	2	2	no	—
343	C₂²×C₄×C₂₃	—	2	1	no	—
344	C₂²×C₄×C₂₃	—	2	1	no	—
345	C₂²×C₄×C₂₃	—	2	2	no	—
346	C₂²×C₄×C₂₃	—	2	2	no	—
347	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
351	Q₁₆×C₂₃	—	4	1	no	—
352	Q₁₆×C₂₃	—	4	2	no	—
353	Q₁₆×C₂₃	—	4	2	no	—
354	SD₁₆×C₂₃	—	4	1	no	—
355	SD₁₆×C₂₃	—	4	1	no	—
356	SD₁₆×C₂₃	—	4	2	no	—
357	SD₁₆×C₂₃	—	4	2	no	—
358	D₈×C₂₃	—	4	1	no	—
359	M₁₆×C₂₃	—	4	2	no	—
360	C₂×C₈×C₂₃	—	4	1	no	—
361	C₂×C₈×C₂₃	—	4	2	no	—
362	C₂×C₈×C₂₃	—	4	1	no	—
363	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
364	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
366	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
367	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
369	C₄⋊C₄×C₂₃	—	2	1	no	—
370	C₄⋊C₄×C₂₃	—	2	1	no	—
371	C₄⋊C₄×C₂₃	—	2	1	no	—
372	C₄⋊C₄×C₂₃	—	2	1	no	—
373	C₄⋊C₄×C₂₃	—	2	2	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	1	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	2	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	2	no	—
389	C₄⋊C₄×C₂₃	—	2	1	no	—
390	C₄⋊C₄×C₂₃	—	2	2	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	2	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	1	yes	characteristic
401	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
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	2	yes	—
406	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
408	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
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	2	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	2	no	—
418	C₂²⋊C₄×C₂₃	—	2	1	no	—
419	C₂²⋊C₄×C₂₃	—	2	2	no	—
420	C₂²⋊C₄×C₂₃	—	2	1	no	—
421	C₂²⋊C₄×C₂₃	—	2	1	no	—
422	C₂²⋊C₄×C₂₃	—	2	1	no	—
423	C₂²⋊C₄×C₂₃	—	2	1	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	1	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	2	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	#62551	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
446	C₂³×C₂₃	—	2	1	no	—
447	C₂³×C₂₃	—	2	1	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	2	no	—
455	Q₈×C₂₃	—	2	1	no	—
456	Q₈×C₂₃	—	2	2	no	—
457	Q₈×C₂₃	—	2	1	no	—
458	Q₈×C₂₃	—	2	2	no	—
459	Q₈×C₂₃	—	8	2	no	—
460	Q₈×C₂₃	—	8	2	no	—
461	Q₈×C₂₃	—	8	1	no	—
462	Q₈×C₂₃	—	8	2	no	—
463	Q₈×C₂₃	—	8	1	no	—
464	Q₈×C₂₃	—	8	2	no	—
465	D₄×C₂₃	—	2	4	no	—
466	D₄×C₂₃	—	2	2	no	—
467	D₄×C₂₃	—	2	1	no	—
468	D₄×C₂₃	—	2	1	no	—
469	D₄×C₂₃	—	2	1	no	—
470	D₄×C₂₃	—	2	1	no	—
471	D₄×C₂₃	—	4	2	no	—
472	D₄×C₂₃	—	4	2	no	—
473	D₄×C₂₃	—	8	2	no	—
474	D₄×C₂₃	—	8	2	no	—
475	C₂×C₄×C₂₃	—	2	2	no	—
476	C₂×C₄×C₂₃	—	2	2	no	—
477	C₂×C₄×C₂₃	—	2	1	no	—
478	C₂×C₄×C₂₃	—	2	1	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	2	no	—
486	C₂×C₄×C₂₃	—	2	1	no	—
487	C₂×C₄×C₂₃	—	2	2	no	—
488	C₂×C₄×C₂₃	—	2	2	no	—
489	C₂×C₄×C₂₃	—	2	1	no	—
490	C₂×C₄×C₂₃	—	2	2	no	—
491	C₂×C₄×C₂₃	—	4	4	no	—
492	C₂×C₄×C₂₃	—	4	2	no	—
493	C₂×C₄×C₂₃	—	4	2	no	—
494	C₂×C₄×C₂₃	—	8	2	no	—
495	C₂×C₄×C₂₃	—	8	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	C₂²×D₄	1	2	yes	—
500	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
501	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
502	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
508	C₈×C₂₃	—	2	1	no	—
509	C₈×C₂₃	—	2	1	no	—
510	C₈×C₂₃	—	2	1	no	—
511	C₈×C₂₃	—	2	1	no	—
512	C₈×C₂₃	—	2	2	no	—
513	C₈×C₂₃	—	2	2	no	—
514	#3552	C₂×C₂₃	1	1	yes	characteristic, complemented
515	#3544	C₂×C₂₃	1	1	yes	characteristic, complemented
516	#3372	C₂×C₂₃	1	1	yes	characteristic, complemented
517	#3369	C₂×C₂₃	1	1	yes	characteristic, complemented
518	#3363	C₂×C₂₃	1	1	yes	characteristic, complemented
519	#3360	C₂×C₂₃	1	1	yes	characteristic, complemented
520	#3331	C₂×C₂₃	1	1	yes	characteristic, complemented
521	#3329	C₂×C₂₃	1	1	yes	characteristic, complemented
522	#3312	C₂×C₂₃	1	2	yes	complemented
523	#3308	C₂×C₂₃	1	2	yes	complemented
524	#3303	C₂×C₂₃	1	1	yes	characteristic, complemented
525	#3300	C₂×C₂₃	1	2	yes	complemented
526	#3299	C₂×C₂₃	1	1	yes	characteristic, complemented
527	#3298	C₂×C₂₃	1	2	yes	complemented
528	#3242	C₂×C₂₃	1	2	yes	complemented
529	#3238	C₂×C₂₃	1	1	yes	characteristic, complemented
530	#3225	C₂×C₂₃	1	2	yes	complemented
531	#3218	C₂×C₂₃	1	1	yes	characteristic, complemented
532	#3178	C₂×C₂₃	1	2	yes	complemented
533	#3168	C₂×C₂₃	1	1	yes	characteristic, complemented
534	#3137	C₂×C₂₃	1	2	yes	complemented
535	C₂×#487	C₂×C₂₃	1	1	yes	characteristic, complemented
536	#2966	C₂×C₂₃	1	1	yes	characteristic, complemented
537	C₂²×C₂₃	—	2	1	no	—
538	C₂²×C₂₃	—	2	1	no	—
539	C₂²×C₂₃	—	2	2	no	—
540	C₂²×C₂₃	—	2	2	no	—
541	C₂²×C₂₃	—	2	2	no	—
542	C₂²×C₂₃	—	4	1	no	—
543	C₂²×C₂₃	—	4	1	no	—
544	C₂²×C₂₃	—	4	1	no	—
545	C₂²×C₂₃	—	4	1	no	—
546	C₂²×C₂₃	—	4	1	no	—
547	C₂²×C₂₃	—	4	1	no	—
548	C₂²×C₂₃	#577	1	2	yes	—
549	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
550	C₄×C₂₃	—	2	2	no	—
551	C₄×C₂₃	—	2	1	no	—
552	C₄×C₂₃	—	2	1	no	—
553	C₄×C₂₃	—	2	1	no	—
554	C₄×C₂₃	—	2	2	no	—
555	C₄×C₂₃	—	2	1	no	—
556	C₄×C₂₃	—	2	2	no	—
557	C₄×C₂₃	—	4	2	no	—
558	C₄×C₂₃	—	4	1	no	—
559	C₄×C₂₃	—	4	2	no	—
560	C₄×C₂₃	—	4	1	no	—
561	C₄×C₂₃	—	4	2	no	—
562	C₄×C₂₃	—	4	2	no	—
563	C₄×C₂₃	—	4	1	no	—
564	C₄×C₂₃	—	4	1	no	—
565	C₄×C₂₃	—	4	1	no	—
566	C₄×C₂₃	—	4	1	no	—
567	C₄×C₂₃	#578	1	2	yes	—
568	C₄×C₂₃	#585	1	1	yes	characteristic
569	C₄×C₂₃	#585	1	1	yes	characteristic
570	#563	—	2	2	no	—
571	#563	—	2	2	no	—
572	Q₈²	C₂²×C₂₃	1	1	yes	characteristic
573	#557	C₂²×C₂₃	1	1	yes	characteristic
574	#556	C₂²×C₂₃	1	1	yes	characteristic
575	#555	C₂²×C₂₃	1	1	yes	characteristic
576	#554	—	2	1	no	—
577	#554	C₂²×C₂₃	1	1	yes	characteristic
578	#554	C₂²×C₂₃	1	1	yes	characteristic
579	#553	—	2	1	no	—
580	#552	—	2	1	no	—
581	#552	C₂²×C₂₃	1	2	yes	—
582	D₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
583	D₄×Q₈	C₂²×C₂₃	1	2	yes	—
584	#548	C₂²×C₂₃	1	2	yes	—
585	#547	—	2	1	no	—
586	#547	C₂²×C₂₃	1	1	yes	characteristic
587	#547	C₂²×C₂₃	1	2	yes	—
588	#544	—	2	1	no	—
589	#544	—	2	1	no	—
590	#544	C₂²×C₂₃	1	2	yes	—
591	#542	—	2	1	no	—
592	#542	—	2	1	no	—
593	#542	C₂²×C₂₃	1	2	yes	—
594	#541	C₂²×C₂₃	1	2	yes	—
595	#539	—	2	2	no	—
596	#536	—	2	2	no	—
597	#536	C₂²×C₂₃	1	2	yes	—
598	C₂×C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
599	C₂×C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
600	#529	C₂²×C₂₃	1	1	yes	characteristic
601	#529	C₂²×C₂₃	1	1	yes	characteristic
602	#529	C₂²×C₂₃	1	1	yes	characteristic
603	#501	C₂²×C₂₃	1	2	yes	—
604	#499	C₂²×C₂₃	1	1	yes	characteristic
605	#497	C₂²×C₂₃	1	2	yes	—
606	#495	C₂²×C₂₃	1	1	yes	characteristic
607	#491	C₂²×C₂₃	1	2	yes	—
608	#491	C₂²×C₂₃	1	2	yes	—
609	#489	C₂²×C₂₃	1	2	yes	—
610	#489	C₂²×C₂₃	1	2	yes	—
611	#488	C₂²×C₂₃	1	2	yes	—
612	#488	C₂²×C₂₃	1	1	yes	characteristic
613	#488	C₂²×C₂₃	1	1	yes	characteristic
614	#487	C₂²×C₂₃	1	1	yes	characteristic
615	#487	C₂²×C₂₃	1	1	yes	characteristic
616	#487	C₂²×C₂₃	1	1	yes	characteristic
617	#487	C₂²×C₂₃	1	1	yes	characteristic
618	#487	C₂²×C₂₃	1	2	yes	—
619	#487	C₂²×C₂₃	1	2	yes	—
620	#487	C₂²×C₂₃	1	2	yes	—
621	#485	C₂²×C₂₃	1	2	yes	—
622	#485	C₂²×C₂₃	1	2	yes	—
623	#484	C₂²×C₂₃	1	2	yes	—
624	#483	C₂²×C₂₃	1	2	yes	—
625	#483	C₂²×C₂₃	1	2	yes	—
626	#480	C₂²×C₂₃	1	2	yes	—
627	#479	C₂²×C₂₃	1	2	yes	—
628	#479	C₂²×C₂₃	1	2	yes	—
629	#477	C₂²×C₂₃	1	1	yes	characteristic
630	#477	C₂²×C₂₃	1	2	yes	—
631	#477	C₂²×C₂₃	1	1	yes	characteristic
632	#476	C₂²×C₂₃	1	1	yes	characteristic
633	#476	C₂²×C₂₃	1	1	yes	characteristic
634	#475	C₂²×C₂₃	1	2	yes	—
635	#470	C₂²×C₂₃	1	2	yes	—
636	#468	C₂²×C₂₃	1	2	yes	—
637	#467	C₂²×C₂₃	1	1	yes	characteristic
638	#467	C₂²×C₂₃	1	2	yes	—
639	#466	C₂²×C₂₃	1	1	yes	characteristic
640	#465	C₂²×C₂₃	1	1	yes	characteristic
641	#465	C₂²×C₂₃	1	1	yes	characteristic
642	#465	C₂²×C₂₃	1	2	yes	—
643	#464	C₂²×C₂₃	1	2	yes	—
644	#463	C₂²×C₂₃	1	2	yes	—
645	#462	C₂²×C₂₃	1	1	yes	characteristic
646	#462	C₂²×C₂₃	1	2	yes	—
647	#462	C₂²×C₂₃	1	1	yes	characteristic
648	#461	C₂²×C₂₃	1	1	yes	characteristic
649	#461	C₂²×C₂₃	1	1	yes	characteristic
650	#461	C₂²×C₂₃	1	2	yes	—
651	#452	C₂²×C₂₃	1	2	yes	—
652	#451	C₂²×C₂₃	1	2	yes	—
653	#451	C₂²×C₂₃	1	2	yes	—
654	#449	C₂²×C₂₃	1	2	yes	—
655	#448	C₂²×C₂₃	1	2	yes	—
656	#448	C₂²×C₂₃	1	2	yes	—
657	#446	C₂²×C₂₃	1	1	yes	characteristic
658	C₈×Q₈	C₂²×C₂₃	1	1	yes	characteristic
659	#441	C₂²×C₂₃	1	2	yes	—
660	#440	C₂²×C₂₃	1	2	yes	—
661	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic
662	C₄×Q₁₆	C₂²×C₂₃	1	2	yes	—
663	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
664	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
665	C₄×SD₁₆	C₂²×C₂₃	1	2	yes	—
666	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic
667	#436	C₂²×C₂₃	1	1	yes	characteristic
668	#435	C₂²×C₂₃	1	2	yes	—
669	C₈×D₄	C₂²×C₂₃	1	2	yes	—
670	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic
671	#433	C₂²×C₂₃	1	2	yes	—
672	#432	C₂²×C₂₃	1	1	yes	characteristic
673	#419	C₂²×C₂₃	1	2	yes	—
674	#417	C₂²×C₂₃	1	2	yes	—
675	#416	C₂²×C₂₃	1	2	yes	—
676	C₂×#103	C₂²×C₂₃	1	2	yes	—
677	C₂×#103	C₂²×C₂₃	1	2	yes	—
678	C₂×#103	C₂²×C₂₃	1	2	yes	—
679	#405	C₂²×C₂₃	1	2	yes	—
680	C₂×C₄×C₈	C₂²×C₂₃	1	1	yes	characteristic
681	C₂×C₂₃	—	2	2	no	—
682	C₂×C₂₃	—	4	2	no	—
683	C₂×C₂₃	—	8	1	no	—
684	C₂×C₂₃	—	8	1	no	—
685	C₂×C₂₃	#3500	1	1	yes	characteristic
686	C₂×C₂₃	C₂×#577	1	1	yes	characteristic
687	C₂×C₂₃	C₂×#578	1	1	yes	characteristic
688	C₂×#41	—	2	2	no	—
689	C₂×#41	C₂³×C₂₃	1	2	yes	—
690	C₂²×Q₈	—	2	1	no	—
691	C₂²×Q₈	C₂³×C₂₃	1	2	yes	—
692	C₂²×Q₈	C₂³×C₂₃	1	2	yes	—
693	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
694	C₂×Q₁₆	C₂³×C₂₃	1	2	yes	—
695	C₂×Q₁₆	C₂³×C₂₃	1	2	yes	—
696	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
697	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
698	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
699	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
700	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
701	C₂×M₁₆	C₂³×C₂₃	1	2	yes	—
702	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
703	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
704	C₂²×C₈	C₂³×C₂₃	1	2	yes	—
705	C₄⋊Q₈	—	2	2	no	—
706	C₄⋊Q₈	—	2	2	no	—
707	C₄⋊Q₈	—	2	1	no	—
708	C₄⋊Q₈	—	2	1	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	2	yes	—
715	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
718	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
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	#126	—	2	2	no	—
723	#126	—	2	2	no	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	1	no	—
728	#126	—	2	1	no	—
729	#126	D₄×C₂₃	1	2	yes	—
730	#125	—	2	2	no	—
731	#125	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	1	no	—
734	#125	—	2	2	no	—
735	#125	—	2	1	no	—
736	#125	—	2	2	no	—
737	#125	D₄×C₂₃	1	1	yes	characteristic
738	#125	C₂³×C₂₃	1	1	yes	characteristic
739	#125	C₂³×C₂₃	1	1	yes	characteristic
740	#125	C₂³×C₂₃	1	2	yes	—
741	#124	—	2	2	no	—
742	#124	—	2	2	no	—
743	#124	—	2	2	no	—
744	#124	D₄×C₂₃	1	1	yes	characteristic
745	#124	C₂³×C₂₃	1	1	yes	characteristic
746	#124	C₂³×C₂₃	1	1	yes	characteristic
747	#124	C₂³×C₂₃	1	2	yes	—
748	#123	—	2	2	no	—
749	#123	—	2	1	no	—
750	#123	—	2	1	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	D₄×C₂₃	1	2	yes	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	1	no	—
760	C₂²⋊Q₈	—	2	2	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	2	yes	—
776	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
777	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
778	#121	—	2	2	no	—
779	#121	—	2	1	no	—
780	#121	—	2	1	no	—
781	#121	D₄×C₂₃	1	1	yes	characteristic
782	#121	C₂³×C₂₃	1	1	yes	characteristic
783	#121	C₂³×C₂₃	1	1	yes	characteristic
784	#121	C₂³×C₂₃	1	2	yes	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
788	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
789	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
790	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
791	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
792	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
800	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
801	C₄×D₄	C₂³×C₂₃	1	2	yes	—
802	C₄×D₄	C₂³×C₂₃	1	2	yes	—
803	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
804	#117	—	2	1	no	—
805	#117	—	2	1	no	—
806	#117	—	2	2	no	—
807	#117	—	2	1	no	—
808	#117	—	2	1	no	—
809	#117	C₂³×C₂₃	1	2	yes	—
810	#117	C₂³×C₂₃	1	2	yes	—
811	C₂×C₄⋊C₄	—	2	1	no	—
812	C₂×C₄⋊C₄	—	2	1	no	—
813	C₂×C₄⋊C₄	—	2	1	no	—
814	C₂×C₄⋊C₄	—	2	1	no	—
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
817	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
818	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
819	#107	C₂³×C₂₃	1	1	yes	characteristic
820	#107	C₂³×C₂₃	1	1	yes	characteristic
821	#107	C₂³×C₂₃	1	2	yes	—
822	#107	C₂³×C₂₃	1	2	yes	—
823	#106	C₂³×C₂₃	1	1	yes	characteristic
824	#106	C₂³×C₂₃	1	1	yes	characteristic
825	#106	C₂³×C₂₃	1	2	yes	—
826	#106	C₂³×C₂₃	1	2	yes	—
827	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
828	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
829	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
830	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
831	#103	C₂³×C₂₃	1	2	yes	—
832	#103	C₂³×C₂₃	1	1	yes	characteristic
833	#103	C₂³×C₂₃	1	2	yes	—
834	#103	C₂³×C₂₃	1	2	yes	—
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	2	yes	—
839	#103	C₂³×C₂₃	1	2	yes	—
840	#103	C₂³×C₂₃	1	2	yes	—
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	1	yes	characteristic
845	#103	C₂³×C₂₃	1	2	yes	—
846	#103	C₂³×C₂₃	1	2	yes	—
847	#103	C₂³×C₂₃	1	1	yes	characteristic
848	#103	C₂³×C₂₃	1	1	yes	characteristic
849	#102	C₂³×C₂₃	1	1	yes	characteristic
850	#102	C₂³×C₂₃	1	2	yes	—
851	#102	C₂³×C₂₃	1	1	yes	characteristic
852	#102	C₂³×C₂₃	1	2	yes	—
853	#102	C₂³×C₂₃	1	1	yes	characteristic
854	#102	C₂³×C₂₃	1	1	yes	characteristic
855	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
856	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
857	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
858	#97	C₂³×C₂₃	1	2	yes	—
859	#97	C₂³×C₂₃	1	2	yes	—
860	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
861	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
862	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
863	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
864	C₄×C₈	C₂³×C₂₃	1	2	yes	—
865	C₂₃	#62551	1	1	yes	characteristic, direct product factor, Sylow
866	#41	—	4	2	no	—
867	#41	—	4	2	no	—
868	#41	—	8	4	no	—
869	C₂×Q₈	—	2	2	no	—
870	C₂×Q₈	—	2	1	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	2	2	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	2	1	no	—
875	C₂×Q₈	—	4	2	no	—
876	C₂×Q₈	—	4	2	no	—
877	C₂×Q₈	—	4	2	no	—
878	C₂×Q₈	—	4	2	no	—
879	C₂×Q₈	—	8	2	no	—
880	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
881	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
882	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
883	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
884	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
885	C₂×D₄	—	2	1	no	—
886	C₂×D₄	—	2	1	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
890	C₂×D₄	C₂×D₄×C₂₃	1	2	yes	—
891	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
892	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
902	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
904	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
905	Q₁₆	—	4	1	no	—
906	Q₁₆	—	4	2	no	—
907	Q₁₆	—	4	2	no	—
908	SD₁₆	—	4	1	no	—
909	SD₁₆	—	4	1	no	—
910	SD₁₆	—	4	2	no	—
911	SD₁₆	—	4	2	no	—
912	D₈	—	4	1	no	—
913	M₁₆	—	4	2	no	—
914	C₂×C₈	—	4	1	no	—
915	C₂×C₈	—	4	2	no	—
916	C₂×C₈	—	4	1	no	—
917	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
918	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
919	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
921	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
922	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	1	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	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
955	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
956	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
957	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
958	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
959	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
960	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
961	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
962	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	1	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
984	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
985	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
986	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
987	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
988	C₄²	—	2	2	no	—
989	C₄²	—	2	1	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	2	no	—
994	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
995	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
996	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
997	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
998	C₄²	C₂⁴×C₂₃	1	2	yes	—
999	C₂³	—	2	1	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
1002	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1003	Q₈	—	2	2	no	—
1004	Q₈	—	2	1	no	—
1005	Q₈	—	2	1	no	—
1006	Q₈	—	2	2	no	—
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	8	2	no	—
1013	Q₈	—	8	2	no	—
1014	Q₈	—	8	1	no	—
1015	Q₈	—	8	2	no	—
1016	Q₈	—	8	1	no	—
1017	Q₈	—	8	2	no	—
1018	D₄	—	2	4	no	—
1019	D₄	—	2	2	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	1	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	2	1	no	—
1024	D₄	—	4	2	no	—
1025	D₄	—	4	2	no	—
1026	D₄	—	8	2	no	—
1027	D₄	—	8	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	4	4	no	—
1045	C₂×C₄	—	4	2	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	8	2	no	—
1048	C₂×C₄	—	8	2	no	—
1049	C₂×C₄	—	8	2	no	—
1050	C₂×C₄	—	8	2	no	—
1051	C₂×C₄	—	8	2	no	—
1052	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1053	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1054	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1055	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1056	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1057	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1058	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1059	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1060	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1061	C₈	—	2	1	no	—
1062	C₈	—	2	1	no	—
1063	C₈	—	2	1	no	—
1064	C₈	—	2	1	no	—
1065	C₈	—	2	2	no	—
1066	C₈	—	2	2	no	—
1067	C₂²	—	2	1	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	2	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	4	1	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	C₂₃×#577	1	2	yes	—
1079	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1080	C₄	—	2	2	no	—
1081	C₄	—	2	1	no	—
1082	C₄	—	2	1	no	—
1083	C₄	—	2	1	no	—
1084	C₄	—	2	2	no	—
1085	C₄	—	2	1	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	4	2	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	2	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	2	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	C₂₃×#578	1	2	yes	—
1098	C₄	C₂₃×#585	1	1	yes	characteristic
1099	C₄	C₂₃×#585	1	1	yes	characteristic
1100	C₂	—	2	2	no	—
1101	C₂	—	4	2	no	—
1102	C₂	—	8	1	no	—
1103	C₂	—	8	1	no	—
1104	C₂	C₂₃×#3500	1	1	yes	characteristic
1105	C₂	C₂×C₂₃×#577	1	1	yes	characteristic
1106	C₂	C₂×C₂₃×#578	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×#3552	C₂	semidirect
2. C₂₃×#3544	C₂	semidirect
3. C₂₃×#3372	C₂	semidirect
4. C₂₃×#3369	C₂	semidirect
5. C₂₃×#3363	C₂	semidirect
6. C₂₃×#3360	C₂	semidirect
7. C₂₃×#3331	C₂	semidirect
8. C₂₃×#3329	C₂	semidirect
9. C₂₃×#3312	C₂	semidirect
10. C₂₃×#3308	C₂	semidirect
11. C₂₃×#3303	C₂	semidirect
12. C₂₃×#3300	C₂	semidirect
13. C₂₃×#3299	C₂	semidirect
14. C₂₃×#3298	C₂	semidirect
15. C₂₃×#3242	C₂	semidirect
16. C₂₃×#3238	C₂	semidirect
17. C₂₃×#3225	C₂	semidirect
18. C₂₃×#3218	C₂	semidirect
19. C₂₃×#3178	C₂	semidirect
20. C₂₃×#3168	C₂	semidirect
21. C₂₃×#3137	C₂	semidirect
22. C₂×C₂₃×#487	C₂	semidirect
23. C₂₃×#2966	C₂	semidirect
445. #62551	C₂₃	direct (N × H)
514. #3552	C₂×C₂₃	semidirect
515. #3544	C₂×C₂₃	semidirect
516. #3372	C₂×C₂₃	semidirect
517. #3369	C₂×C₂₃	semidirect
518. #3363	C₂×C₂₃	semidirect
519. #3360	C₂×C₂₃	semidirect
520. #3331	C₂×C₂₃	semidirect
521. #3329	C₂×C₂₃	semidirect
522. #3312	C₂×C₂₃	semidirect
523. #3308	C₂×C₂₃	semidirect
524. #3303	C₂×C₂₃	semidirect
525. #3300	C₂×C₂₃	semidirect
526. #3299	C₂×C₂₃	semidirect
527. #3298	C₂×C₂₃	semidirect
528. #3242	C₂×C₂₃	semidirect
529. #3238	C₂×C₂₃	semidirect
530. #3225	C₂×C₂₃	semidirect
531. #3218	C₂×C₂₃	semidirect
532. #3178	C₂×C₂₃	semidirect
533. #3168	C₂×C₂₃	semidirect
534. #3137	C₂×C₂₃	semidirect
535. C₂×#487	C₂×C₂₃	semidirect
536. #2966	C₂×C₂₃	semidirect
865. C₂₃	#62551	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×#3552	2
C₂₃×#3544	2
C₂₃×#3372	2
C₂₃×#3369	2
C₂₃×#3363	2
C₂₃×#3360	2
C₂₃×#3331	2
C₂₃×#3329	2
C₂₃×#3312	2
C₂₃×#3308	2
C₂₃×#3303	2
C₂₃×#3300	2
C₂₃×#3299	2
C₂₃×#3298	2
C₂₃×#3242	2
C₂₃×#3238	2
C₂₃×#3225	2
C₂₃×#3218	2
C₂₃×#3178	2
C₂₃×#3168	2
C₂₃×#3137	2
C₂×C₂₃×#487	2
C₂₃×#2966	2
#62551	23

Subgroups — C23×#62551 #19210177

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#62551 #19210177