Subgroups — C₂₃×#61754 #19209380

Order 5888.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1052 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3536	C₂	1	1	yes	maximal, characteristic
2	C₂₃×#3495	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3353	C₂	1	2	yes	maximal, complemented
4	C₂₃×#3344	C₂	1	2	yes	maximal, complemented
5	C₂₃×#3343	C₂	1	2	yes	maximal, complemented
6	C₂₃×#3338	C₂	1	2	yes	maximal, complemented
7	C₂₃×#3327	C₂	1	2	yes	maximal, complemented
8	C₂₃×#3314	C₂	1	2	yes	maximal, complemented
9	C₂₃×#3313	C₂	1	2	yes	maximal, complemented
10	C₂₃×#3296	C₂	1	2	yes	maximal, complemented
11	C₂₃×#3243	C₂	1	2	yes	maximal, complemented
12	C₂₃×#3201	C₂	1	2	yes	maximal, complemented
13	C₂₃×#3193	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3189	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3121	C₂	1	2	yes	maximal, complemented
16	C₂₃×#3098	C₂	1	2	yes	maximal, complemented
17	C₂₃×#3095	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₂₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#2976	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#562	—	2	2	no	—
21	C₂₃×#556	C₂²	1	2	yes	complemented
22	C₂₃×#554	C₂²	1	2	yes	—
23	C₂₃×#554	C₂²	1	2	yes	—
24	C₂₃×#552	—	2	2	no	—
25	C₂₃×#552	C₂²	1	2	yes	—
26	C₂₃×#552	C₂²	1	2	yes	complemented
27	C₂₃×#551	—	2	2	no	—
28	C₂₃×#548	C₂²	1	2	yes	—
29	C₂₃×#547	C₂²	1	2	yes	—
30	C₂₃×#546	—	2	2	no	—
31	C₂₃×#546	C₂²	1	2	yes	—
32	C₂₃×#544	C₂²	1	1	yes	characteristic, complemented
33	C₂₃×#543	—	2	1	no	—
34	C₂₃×#542	—	2	1	no	—
35	C₂₃×#542	C₂²	1	2	yes	—
36	C₂₃×#541	—	2	1	no	—
37	C₂₃×#539	—	2	1	no	—
38	C₂₃×#538	—	2	1	no	—
39	C₂₃×#537	—	2	1	no	—
40	C₂₃×#537	C₂²	1	2	yes	—
41	C₂₃×#536	C₂²	1	1	yes	characteristic, complemented
42	C₂₃×#533	—	2	1	no	—
43	C₂₃×#529	—	2	1	no	—
44	C₂₃×#525	C₂²	1	1	yes	characteristic
45	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
48	C₂₃×#520	C₂²	1	1	yes	characteristic, complemented
49	C₂₃×#519	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic
51	C₂₃×#501	C₂²	1	2	yes	complemented
52	C₂₃×#500	C₂²	1	2	yes	complemented
53	C₂₃×#489	C₂²	1	2	yes	complemented
54	C₂₃×#488	C₂²	1	2	yes	complemented
55	C₂₃×#485	C₂²	1	2	yes	complemented
56	C₂₃×#485	C₂²	1	2	yes	complemented
57	C₂₃×#485	C₂²	1	2	yes	complemented
58	C₂₃×#484	C₂²	1	2	yes	—
59	C₂₃×#484	C₂²	1	2	yes	—
60	C₂₃×#484	C₂²	1	2	yes	complemented
61	C₂₃×#484	C₂²	1	2	yes	complemented
62	C₂₃×#484	C₂²	1	2	yes	complemented
63	C₂₃×#484	C₂²	1	2	yes	complemented
64	C₂₃×#483	C₂²	1	2	yes	—
65	C₂₃×#483	C₂²	1	2	yes	complemented
66	C₂₃×#482	C₂²	1	2	yes	—
67	C₂₃×#482	C₂²	1	2	yes	—
68	C₂₃×#482	C₂²	1	2	yes	—
69	C₂₃×#482	C₂²	1	2	yes	—
70	C₂₃×#482	C₂²	1	2	yes	complemented
71	C₂₃×#480	C₂²	1	2	yes	—
72	C₂₃×#480	C₂²	1	2	yes	complemented
73	C₂₃×#479	C₂²	1	2	yes	complemented
74	C₂₃×#478	C₂²	1	2	yes	complemented
75	C₂₃×#477	C₂²	1	2	yes	complemented
76	C₂₃×#477	C₂²	1	2	yes	complemented
77	C₂₃×#475	C₂²	1	2	yes	complemented
78	C₂₃×#474	C₂²	1	2	yes	complemented
79	C₂₃×#470	C₂²	1	2	yes	complemented
80	C₂₃×#468	C₂²	1	2	yes	—
81	C₂₃×#468	C₂²	1	2	yes	—
82	C₂₃×#468	C₂²	1	2	yes	complemented
83	C₂₃×#467	C₂²	1	2	yes	—
84	C₂₃×#467	C₂²	1	2	yes	—
85	C₂₃×#467	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×#452	C₂²	1	2	yes	complemented
90	C₂₃×#452	C₂²	1	2	yes	complemented
91	C₂₃×#451	C₂²	1	2	yes	complemented
92	C₂₃×#451	C₂²	1	2	yes	complemented
93	C₂₃×#450	C₂²	1	2	yes	—
94	C₂₃×#448	C₂²	1	2	yes	—
95	C₂₃×#441	C₂²	1	2	yes	complemented
96	C₂₃×#440	C₂²	1	2	yes	complemented
97	C₄×Q₁₆×C₂₃	C₂²	1	2	yes	complemented
98	C₄×SD₁₆×C₂₃	C₂²	1	2	yes	complemented
99	C₂₃×#436	C₂²	1	2	yes	complemented
100	C₂₃×#435	C₂²	1	2	yes	—
101	C₂₃×#435	C₂²	1	2	yes	complemented
102	C₈×D₄×C₂₃	C₂²	1	2	yes	—
103	C₂₃×#433	C₂²	1	2	yes	complemented
104	C₂₃×#428	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#428	C₂²	1	2	yes	complemented
106	C₂₃×#428	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₂₃×#107	C₂²	1	1	yes	characteristic
108	C₂×C₂₃×#107	C₂²	1	2	yes	complemented
109	C₂×C₂₃×#106	C₂²	1	1	yes	characteristic
110	C₂₃×#419	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#419	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#417	C₂²	1	2	yes	complemented
113	C₂₃×#416	C₂²	1	2	yes	complemented
114	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic
115	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic
116	C₂₃×#408	C₂²	1	2	yes	complemented
117	C₂₃×#407	C₂²	1	1	yes	characteristic
118	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
119	C₂×#41×C₂₃	—	2	2	no	—
120	C₂×#41×C₂₃	C₂³	1	2	yes	—
121	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
122	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
123	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₂₃	—	2	1	no	—
125	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
127	C₂×Q₁₆×C₂₃	C₂³	1	2	yes	—
128	C₂×Q₁₆×C₂₃	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₂₃	C₂³	1	2	yes	—
131	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
132	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
133	C₂×M₁₆×C₂₃	C₂³	1	2	yes	—
134	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
135	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
136	C₂²×C₈×C₂₃	C₂³	1	2	yes	—
137	C₂₃×C₄⋊Q₈	—	2	1	no	—
138	C₂₃×C₄⋊Q₈	—	2	1	no	—
139	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
140	C₂₃×C₄⋊Q₈	C₂³	1	2	yes	—
141	C₂₃×#126	—	2	2	no	—
142	C₂₃×#126	—	2	2	no	—
143	C₂₃×#126	—	2	2	no	—
144	C₂₃×#126	—	2	2	no	—
145	C₂₃×#126	—	2	2	no	—
146	C₂₃×#125	—	2	2	no	—
147	C₂₃×#125	—	2	2	no	—
148	C₂₃×#125	—	2	2	no	—
149	C₂₃×#125	—	2	2	no	—
150	C₂₃×#125	—	2	1	no	—
151	C₂₃×#125	C₂³	1	2	yes	—
152	C₂₃×#124	—	2	2	no	—
153	C₂₃×#124	—	2	1	no	—
154	C₂₃×#124	—	2	2	no	—
155	C₂₃×#124	—	2	2	no	—
156	C₂₃×#124	C₂³	1	2	yes	—
157	C₂₃×#123	—	2	2	no	—
158	C₂₃×#123	—	2	2	no	—
159	C₂₃×#123	—	2	2	no	—
160	C₂₃×#123	—	2	2	no	—
161	C₂₃×#123	—	2	2	no	—
162	C₂₃×#123	—	2	2	no	—
163	C₂₃×#123	—	2	2	no	—
164	C₂₃×#123	D₄	1	2	yes	—
165	C₂₃×C₂²⋊Q₈	—	2	2	no	—
166	C₂₃×C₂²⋊Q₈	—	2	1	no	—
167	C₂₃×C₂²⋊Q₈	—	2	1	no	—
168	C₂₃×C₂²⋊Q₈	—	2	1	no	—
169	C₂₃×C₂²⋊Q₈	—	2	1	no	—
170	C₂₃×C₂²⋊Q₈	—	2	2	no	—
171	C₂₃×C₂²⋊Q₈	—	2	2	no	—
172	C₂₃×C₂²⋊Q₈	—	2	2	no	—
173	C₂₃×C₂²⋊Q₈	—	2	2	no	—
174	C₂₃×C₂²⋊Q₈	—	2	2	no	—
175	C₂₃×C₂²⋊Q₈	—	2	2	no	—
176	C₂₃×C₂²⋊Q₈	—	2	2	no	—
177	C₂₃×C₂²⋊Q₈	—	2	2	no	—
178	C₂₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
179	C₂₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
180	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
181	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
182	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
183	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
184	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
185	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
186	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
187	C₂₃×#121	—	2	2	no	—
188	C₂₃×#121	—	2	2	no	—
189	C₂₃×#121	—	2	2	no	—
190	C₂₃×#121	—	2	2	no	—
191	C₂₃×#121	—	2	1	no	—
192	C₂₃×#121	—	2	1	no	—
193	C₂₃×#121	—	2	2	no	—
194	C₂₃×#121	D₄	1	1	yes	characteristic
195	C₂₃×#121	D₄	1	1	yes	characteristic
196	C₂₃×#121	C₂³	1	2	yes	—
197	C₂₃×#121	C₂³	1	2	yes	—
198	C₂₃×#121	C₂³	1	2	yes	—
199	C₂₃×#120	—	2	2	no	—
200	C₂₃×#120	D₄	1	2	yes	—
201	C₄×Q₈×C₂₃	—	2	1	no	—
202	C₄×Q₈×C₂₃	—	2	2	no	—
203	C₄×Q₈×C₂₃	—	2	1	no	—
204	C₄×Q₈×C₂₃	—	2	1	no	—
205	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
206	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
207	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
208	C₄×D₄×C₂₃	—	2	2	no	—
209	C₄×D₄×C₂₃	—	2	2	no	—
210	C₄×D₄×C₂₃	—	2	2	no	—
211	C₄×D₄×C₂₃	—	2	1	no	—
212	C₄×D₄×C₂₃	—	2	2	no	—
213	C₄×D₄×C₂₃	C₂³	1	2	yes	—
214	C₄×D₄×C₂₃	C₂³	1	2	yes	—
215	C₄×D₄×C₂₃	C₂³	1	2	yes	—
216	C₂₃×#117	—	2	1	no	—
217	C₂₃×#117	—	2	1	no	—
218	C₂₃×#117	—	2	2	no	—
219	C₂₃×#117	—	2	2	no	—
220	C₂₃×#117	—	2	2	no	—
221	C₂₃×#117	C₂³	1	2	yes	—
222	C₂₃×#117	C₂³	1	1	yes	characteristic
223	C₂₃×#117	C₂³	1	1	yes	characteristic
224	C₂₃×#117	C₂³	1	1	yes	characteristic
225	C₂₃×#117	C₂³	1	1	yes	characteristic
226	C₂₃×#117	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
228	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
229	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
231	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
233	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
237	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
238	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
239	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
240	C₂×C₂²⋊C₄×C₂₃	—	2	2	no	—
241	C₂×C₄²×C₂₃	—	2	1	no	—
242	C₂₃×#107	C₂³	1	2	yes	—
243	C₂₃×#107	C₂³	1	2	yes	—
244	C₂₃×#107	C₂³	1	2	yes	—
245	C₂₃×#107	C₂³	1	2	yes	—
246	C₂₃×#107	C₂³	1	2	yes	—
247	C₂₃×#107	C₂³	1	2	yes	—
248	C₂₃×#107	C₂³	1	2	yes	—
249	C₂₃×#107	C₂³	1	2	yes	—
250	C₂₃×#106	C₂³	1	2	yes	—
251	C₂₃×#106	C₂³	1	2	yes	—
252	C₂₃×#106	C₂³	1	2	yes	—
253	C₂₃×#106	C₂³	1	2	yes	—
254	C₂₃×C₄⋊C₈	C₂³	1	2	yes	—
255	C₂₃×C₄⋊C₈	C₂³	1	2	yes	—
256	C₂₃×#103	C₂³	1	2	yes	—
257	C₂₃×#103	C₂³	1	2	yes	—
258	C₂₃×#103	C₂³	1	2	yes	—
259	C₂₃×#103	C₂³	1	2	yes	—
260	C₂₃×#103	C₂³	1	2	yes	—
261	C₂₃×#103	C₂³	1	2	yes	—
262	C₂₃×#103	C₂³	1	2	yes	—
263	C₂₃×#103	C₂³	1	2	yes	—
264	C₂₃×#103	C₂³	1	2	yes	—
265	C₂₃×#103	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×#102	C₂³	1	2	yes	—
271	C₂₃×#102	C₂³	1	2	yes	—
272	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
273	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
274	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
275	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
276	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
277	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₂₃×#97	C₂³	1	2	yes	—
279	C₄×C₈×C₂₃	C₂³	1	2	yes	—
280	C₂⁴×C₂₃	—	2	1	no	—
281	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
282	#41×C₂₃	—	4	1	no	—
283	#41×C₂₃	—	4	1	no	—
284	#41×C₂₃	—	4	2	no	—
285	#41×C₂₃	—	4	2	no	—
286	#41×C₂₃	—	8	4	no	—
287	C₂×Q₈×C₂₃	—	2	1	no	—
288	C₂×Q₈×C₂₃	—	2	2	no	—
289	C₂×Q₈×C₂₃	—	2	1	no	—
290	C₂×Q₈×C₂₃	—	2	2	no	—
291	C₂×Q₈×C₂₃	—	4	1	no	—
292	C₂×Q₈×C₂₃	—	4	1	no	—
293	C₂×Q₈×C₂₃	—	4	1	no	—
294	C₂×Q₈×C₂₃	—	4	1	no	—
295	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
296	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
297	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
298	C₂×D₄×C₂₃	—	2	2	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	1	no	—
303	C₂×D₄×C₂₃	—	4	1	no	—
304	C₂×D₄×C₂₃	—	4	1	no	—
305	C₂×D₄×C₂₃	—	8	2	no	—
306	C₂×D₄×C₂₃	C₂×D₄	1	2	yes	—
307	C₂×D₄×C₂₃	C₂×D₄	1	2	yes	—
308	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
309	C₂×D₄×C₂₃	C₂×D₄	1	2	yes	—
310	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₂₃	—	2	1	no	—
312	C₂²×C₄×C₂₃	—	2	1	no	—
313	C₂²×C₄×C₂₃	—	2	1	no	—
314	C₂²×C₄×C₂₃	—	2	1	no	—
315	C₂²×C₄×C₂₃	—	2	1	no	—
316	C₂²×C₄×C₂₃	—	2	1	no	—
317	C₂²×C₄×C₂₃	—	2	1	no	—
318	C₂²×C₄×C₂₃	—	2	2	no	—
319	C₂²×C₄×C₂₃	—	2	2	no	—
320	C₂²×C₄×C₂₃	—	2	2	no	—
321	C₂²×C₄×C₂₃	—	2	2	no	—
322	C₂²×C₄×C₂₃	—	4	1	no	—
323	C₂²×C₄×C₂₃	—	4	1	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	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
331	Q₁₆×C₂₃	—	4	2	no	—
332	Q₁₆×C₂₃	—	4	2	no	—
333	SD₁₆×C₂₃	—	4	2	no	—
334	SD₁₆×C₂₃	—	4	2	no	—
335	M₁₆×C₂₃	—	4	1	no	—
336	M₁₆×C₂₃	—	4	2	no	—
337	M₁₆×C₂₃	—	4	1	no	—
338	C₂×C₈×C₂₃	—	4	1	no	—
339	C₂×C₈×C₂₃	—	4	2	no	—
340	C₂×C₈×C₂₃	—	4	1	no	—
341	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
342	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
343	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
344	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
345	C₄⋊C₄×C₂₃	—	2	2	no	—
346	C₄⋊C₄×C₂₃	—	2	2	no	—
347	C₄⋊C₄×C₂₃	—	2	2	no	—
348	C₄⋊C₄×C₂₃	—	2	2	no	—
349	C₄⋊C₄×C₂₃	—	2	1	no	—
350	C₄⋊C₄×C₂₃	—	2	1	no	—
351	C₄⋊C₄×C₂₃	—	2	1	no	—
352	C₄⋊C₄×C₂₃	—	2	2	no	—
353	C₄⋊C₄×C₂₃	—	2	1	no	—
354	C₄⋊C₄×C₂₃	—	2	2	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	2	no	—
360	C₄⋊C₄×C₂₃	—	2	2	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	—	2	2	no	—
365	C₄⋊C₄×C₂₃	—	2	2	no	—
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	1	yes	characteristic
371	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
372	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
373	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
374	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
376	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
377	C₂²⋊C₄×C₂₃	—	2	2	no	—
378	C₂²⋊C₄×C₂₃	—	2	1	no	—
379	C₂²⋊C₄×C₂₃	—	2	1	no	—
380	C₂²⋊C₄×C₂₃	—	2	1	no	—
381	C₂²⋊C₄×C₂₃	—	2	1	no	—
382	C₂²⋊C₄×C₂₃	—	2	2	no	—
383	C₂²⋊C₄×C₂₃	—	2	2	no	—
384	C₂²⋊C₄×C₂₃	—	2	2	no	—
385	C₂²⋊C₄×C₂₃	—	2	2	no	—
386	C₂²⋊C₄×C₂₃	—	2	2	no	—
387	C₂²⋊C₄×C₂₃	—	2	2	no	—
388	C₂²⋊C₄×C₂₃	—	2	2	no	—
389	C₂²⋊C₄×C₂₃	—	2	2	no	—
390	C₂²⋊C₄×C₂₃	—	2	2	no	—
391	C₂²⋊C₄×C₂₃	—	2	2	no	—
392	C₂²⋊C₄×C₂₃	—	2	2	no	—
393	C₂²⋊C₄×C₂₃	—	2	2	no	—
394	C₂²⋊C₄×C₂₃	—	2	2	no	—
395	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
396	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
397	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
398	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
399	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
400	C₄²×C₂₃	—	2	1	no	—
401	C₄²×C₂₃	—	2	1	no	—
402	C₄²×C₂₃	—	2	1	no	—
403	C₄²×C₂₃	—	2	1	no	—
404	C₄²×C₂₃	—	2	2	no	—
405	C₄²×C₂₃	—	2	2	no	—
406	C₄²×C₂₃	—	2	2	no	—
407	C₄²×C₂₃	—	2	2	no	—
408	C₄²×C₂₃	C₂⁴	1	2	yes	—
409	#61754	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
410	C₂³×C₂₃	—	2	2	no	—
411	C₂³×C₂₃	—	2	2	no	—
412	C₂³×C₂₃	—	4	1	no	—
413	C₂³×C₂₃	—	4	1	no	—
414	C₂³×C₂₃	—	4	2	no	—
415	C₂³×C₂₃	—	8	1	no	—
416	C₂³×C₂₃	—	8	1	no	—
417	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
418	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
419	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
420	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
421	Q₈×C₂₃	—	2	2	no	—
422	Q₈×C₂₃	—	2	2	no	—
423	Q₈×C₂₃	—	2	2	no	—
424	Q₈×C₂₃	—	2	2	no	—
425	Q₈×C₂₃	—	4	1	no	—
426	Q₈×C₂₃	—	4	2	no	—
427	Q₈×C₂₃	—	8	2	no	—
428	Q₈×C₂₃	—	8	1	no	—
429	Q₈×C₂₃	—	8	2	no	—
430	D₄×C₂₃	—	2	4	no	—
431	D₄×C₂₃	—	2	2	no	—
432	D₄×C₂₃	—	2	2	no	—
433	D₄×C₂₃	—	4	1	no	—
434	D₄×C₂₃	—	4	2	no	—
435	D₄×C₂₃	—	4	2	no	—
436	D₄×C₂₃	—	4	4	no	—
437	D₄×C₂₃	—	8	1	no	—
438	D₄×C₂₃	—	8	2	no	—
439	D₄×C₂₃	—	8	2	no	—
440	D₄×C₂₃	—	8	2	no	—
441	C₂×C₄×C₂₃	—	2	1	no	—
442	C₂×C₄×C₂₃	—	2	1	no	—
443	C₂×C₄×C₂₃	—	2	2	no	—
444	C₂×C₄×C₂₃	—	2	1	no	—
445	C₂×C₄×C₂₃	—	2	1	no	—
446	C₂×C₄×C₂₃	—	2	2	no	—
447	C₂×C₄×C₂₃	—	2	1	no	—
448	C₂×C₄×C₂₃	—	2	1	no	—
449	C₂×C₄×C₂₃	—	2	1	no	—
450	C₂×C₄×C₂₃	—	2	1	no	—
451	C₂×C₄×C₂₃	—	2	1	no	—
452	C₂×C₄×C₂₃	—	2	2	no	—
453	C₂×C₄×C₂₃	—	2	1	no	—
454	C₂×C₄×C₂₃	—	2	2	no	—
455	C₂×C₄×C₂₃	—	2	2	no	—
456	C₂×C₄×C₂₃	—	2	2	no	—
457	C₂×C₄×C₂₃	—	2	2	no	—
458	C₂×C₄×C₂₃	—	4	1	no	—
459	C₂×C₄×C₂₃	—	4	1	no	—
460	C₂×C₄×C₂₃	—	4	1	no	—
461	C₂×C₄×C₂₃	—	4	2	no	—
462	C₂×C₄×C₂₃	—	4	2	no	—
463	C₂×C₄×C₂₃	—	4	2	no	—
464	C₂×C₄×C₂₃	—	8	2	no	—
465	C₂×C₄×C₂₃	—	8	2	no	—
466	C₂×C₄×C₂₃	—	8	2	no	—
467	C₂×C₄×C₂₃	—	8	1	no	—
468	C₂×C₄×C₂₃	—	8	1	no	—
469	C₂×C₄×C₂₃	—	8	1	no	—
470	C₂×C₄×C₂₃	—	8	1	no	—
471	C₂×C₄×C₂₃	—	8	2	no	—
472	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
473	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
474	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
476	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
477	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
478	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
479	C₈×C₂₃	—	2	2	no	—
480	C₈×C₂₃	—	2	2	no	—
481	C₈×C₂₃	—	2	2	no	—
482	C₈×C₂₃	—	2	2	no	—
483	#3536	C₂×C₂₃	1	1	yes	characteristic
484	#3495	C₂×C₂₃	1	1	yes	characteristic, complemented
485	#3353	C₂×C₂₃	1	2	yes	complemented
486	#3344	C₂×C₂₃	1	2	yes	complemented
487	#3343	C₂×C₂₃	1	2	yes	complemented
488	#3338	C₂×C₂₃	1	2	yes	complemented
489	#3327	C₂×C₂₃	1	2	yes	complemented
490	#3314	C₂×C₂₃	1	2	yes	complemented
491	#3313	C₂×C₂₃	1	2	yes	complemented
492	#3296	C₂×C₂₃	1	2	yes	complemented
493	#3243	C₂×C₂₃	1	2	yes	complemented
494	#3201	C₂×C₂₃	1	2	yes	complemented
495	#3193	C₂×C₂₃	1	1	yes	characteristic, complemented
496	#3189	C₂×C₂₃	1	1	yes	characteristic, complemented
497	#3121	C₂×C₂₃	1	2	yes	complemented
498	#3098	C₂×C₂₃	1	2	yes	complemented
499	#3095	C₂×C₂₃	1	1	yes	characteristic, complemented
500	C₂×#482	C₂×C₂₃	1	1	yes	characteristic, complemented
501	#2976	C₂×C₂₃	1	1	yes	characteristic, complemented
502	C₂²×C₂₃	—	2	1	no	—
503	C₂²×C₂₃	—	2	1	no	—
504	C₂²×C₂₃	—	2	1	no	—
505	C₂²×C₂₃	—	2	2	no	—
506	C₂²×C₂₃	—	2	1	no	—
507	C₂²×C₂₃	—	2	1	no	—
508	C₂²×C₂₃	—	2	1	no	—
509	C₂²×C₂₃	—	2	2	no	—
510	C₂²×C₂₃	—	2	2	no	—
511	C₂²×C₂₃	—	2	1	no	—
512	C₂²×C₂₃	—	2	1	no	—
513	C₂²×C₂₃	—	4	2	no	—
514	C₂²×C₂₃	—	4	2	no	—
515	C₂²×C₂₃	—	4	2	no	—
516	C₂²×C₂₃	—	8	2	no	—
517	C₂²×C₂₃	—	16	2	no	—
518	C₂²×C₂₃	#578	1	2	yes	—
519	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
520	C₄×C₂₃	—	2	2	no	—
521	C₄×C₂₃	—	2	1	no	—
522	C₄×C₂₃	—	2	1	no	—
523	C₄×C₂₃	—	2	1	no	—
524	C₄×C₂₃	—	2	2	no	—
525	C₄×C₂₃	—	2	2	no	—
526	C₄×C₂₃	—	4	2	no	—
527	C₄×C₂₃	—	4	1	no	—
528	C₄×C₂₃	—	4	2	no	—
529	C₄×C₂₃	—	4	2	no	—
530	C₄×C₂₃	—	4	1	no	—
531	C₄×C₂₃	—	4	2	no	—
532	C₄×C₂₃	—	4	2	no	—
533	C₄×C₂₃	—	4	1	no	—
534	C₄×C₂₃	—	4	1	no	—
535	C₄×C₂₃	#585	1	1	yes	characteristic
536	C₄×C₂₃	#585	1	1	yes	characteristic
537	#562	—	2	2	no	—
538	#556	C₂²×C₂₃	1	2	yes	complemented
539	#554	C₂²×C₂₃	1	2	yes	—
540	#554	C₂²×C₂₃	1	2	yes	—
541	#552	—	2	2	no	—
542	#552	C₂²×C₂₃	1	2	yes	—
543	#552	C₂²×C₂₃	1	2	yes	complemented
544	#551	—	2	2	no	—
545	#548	C₂²×C₂₃	1	2	yes	—
546	#547	C₂²×C₂₃	1	2	yes	—
547	#546	—	2	2	no	—
548	#546	C₂²×C₂₃	1	2	yes	—
549	#544	C₂²×C₂₃	1	1	yes	characteristic, complemented
550	#543	—	2	1	no	—
551	#542	—	2	1	no	—
552	#542	C₂²×C₂₃	1	2	yes	—
553	#541	—	2	1	no	—
554	#539	—	2	1	no	—
555	#538	—	2	1	no	—
556	#537	—	2	1	no	—
557	#537	C₂²×C₂₃	1	2	yes	—
558	#536	C₂²×C₂₃	1	1	yes	characteristic, complemented
559	#533	—	2	1	no	—
560	#529	—	2	1	no	—
561	#525	C₂²×C₂₃	1	1	yes	characteristic
562	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
563	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
564	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
565	#520	C₂²×C₂₃	1	1	yes	characteristic, complemented
566	#519	C₂²×C₂₃	1	1	yes	characteristic, complemented
567	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
568	#501	C₂²×C₂₃	1	2	yes	complemented
569	#500	C₂²×C₂₃	1	2	yes	complemented
570	#489	C₂²×C₂₃	1	2	yes	complemented
571	#488	C₂²×C₂₃	1	2	yes	complemented
572	#485	C₂²×C₂₃	1	2	yes	complemented
573	#485	C₂²×C₂₃	1	2	yes	complemented
574	#485	C₂²×C₂₃	1	2	yes	complemented
575	#484	C₂²×C₂₃	1	2	yes	—
576	#484	C₂²×C₂₃	1	2	yes	—
577	#484	C₂²×C₂₃	1	2	yes	complemented
578	#484	C₂²×C₂₃	1	2	yes	complemented
579	#484	C₂²×C₂₃	1	2	yes	complemented
580	#484	C₂²×C₂₃	1	2	yes	complemented
581	#483	C₂²×C₂₃	1	2	yes	—
582	#483	C₂²×C₂₃	1	2	yes	complemented
583	#482	C₂²×C₂₃	1	2	yes	—
584	#482	C₂²×C₂₃	1	2	yes	—
585	#482	C₂²×C₂₃	1	2	yes	—
586	#482	C₂²×C₂₃	1	2	yes	—
587	#482	C₂²×C₂₃	1	2	yes	complemented
588	#480	C₂²×C₂₃	1	2	yes	—
589	#480	C₂²×C₂₃	1	2	yes	complemented
590	#479	C₂²×C₂₃	1	2	yes	complemented
591	#478	C₂²×C₂₃	1	2	yes	complemented
592	#477	C₂²×C₂₃	1	2	yes	complemented
593	#477	C₂²×C₂₃	1	2	yes	complemented
594	#475	C₂²×C₂₃	1	2	yes	complemented
595	#474	C₂²×C₂₃	1	2	yes	complemented
596	#470	C₂²×C₂₃	1	2	yes	complemented
597	#468	C₂²×C₂₃	1	2	yes	—
598	#468	C₂²×C₂₃	1	2	yes	—
599	#468	C₂²×C₂₃	1	2	yes	complemented
600	#467	C₂²×C₂₃	1	2	yes	—
601	#467	C₂²×C₂₃	1	2	yes	—
602	#467	C₂²×C₂₃	1	2	yes	complemented
603	#465	C₂²×C₂₃	1	2	yes	complemented
604	#464	C₂²×C₂₃	1	2	yes	complemented
605	#464	C₂²×C₂₃	1	2	yes	complemented
606	#452	C₂²×C₂₃	1	2	yes	complemented
607	#452	C₂²×C₂₃	1	2	yes	complemented
608	#451	C₂²×C₂₃	1	2	yes	complemented
609	#451	C₂²×C₂₃	1	2	yes	complemented
610	#450	C₂²×C₂₃	1	2	yes	—
611	#448	C₂²×C₂₃	1	2	yes	—
612	#441	C₂²×C₂₃	1	2	yes	complemented
613	#440	C₂²×C₂₃	1	2	yes	complemented
614	C₄×Q₁₆	C₂²×C₂₃	1	2	yes	complemented
615	C₄×SD₁₆	C₂²×C₂₃	1	2	yes	complemented
616	#436	C₂²×C₂₃	1	2	yes	complemented
617	#435	C₂²×C₂₃	1	2	yes	—
618	#435	C₂²×C₂₃	1	2	yes	complemented
619	C₈×D₄	C₂²×C₂₃	1	2	yes	—
620	#433	C₂²×C₂₃	1	2	yes	complemented
621	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
622	#428	C₂²×C₂₃	1	2	yes	complemented
623	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
624	C₂×#107	C₂²×C₂₃	1	1	yes	characteristic
625	C₂×#107	C₂²×C₂₃	1	2	yes	complemented
626	C₂×#106	C₂²×C₂₃	1	1	yes	characteristic
627	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
628	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
629	#417	C₂²×C₂₃	1	2	yes	complemented
630	#416	C₂²×C₂₃	1	2	yes	complemented
631	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic
632	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic
633	#408	C₂²×C₂₃	1	2	yes	complemented
634	#407	C₂²×C₂₃	1	1	yes	characteristic
635	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
636	C₂×C₂₃	—	2	2	no	—
637	C₂×C₂₃	—	4	2	no	—
638	C₂×C₂₃	—	4	1	no	—
639	C₂×C₂₃	—	4	1	no	—
640	C₂×C₂₃	—	8	2	no	—
641	C₂×C₂₃	#3485	1	1	yes	characteristic
642	C₂×C₂₃	C₂×#578	1	1	yes	characteristic
643	C₂×C₂₃	#3585	1	1	yes	characteristic
644	C₂×#41	—	2	2	no	—
645	C₂×#41	C₂³×C₂₃	1	2	yes	—
646	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
647	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
648	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
649	C₂²×D₄	—	2	1	no	—
650	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
651	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
652	C₂×Q₁₆	C₂³×C₂₃	1	2	yes	—
653	C₂×Q₁₆	C₂³×C₂₃	1	2	yes	—
654	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
655	C₂×SD₁₆	C₂³×C₂₃	1	2	yes	—
656	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
657	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
658	C₂×M₁₆	C₂³×C₂₃	1	2	yes	—
659	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
660	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
661	C₂²×C₈	C₂³×C₂₃	1	2	yes	—
662	C₄⋊Q₈	—	2	1	no	—
663	C₄⋊Q₈	—	2	1	no	—
664	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
665	C₄⋊Q₈	C₂³×C₂₃	1	2	yes	—
666	#126	—	2	2	no	—
667	#126	—	2	2	no	—
668	#126	—	2	2	no	—
669	#126	—	2	2	no	—
670	#126	—	2	2	no	—
671	#125	—	2	1	no	—
672	#125	—	2	2	no	—
673	#125	—	2	2	no	—
674	#125	—	2	2	no	—
675	#125	—	2	2	no	—
676	#125	C₂³×C₂₃	1	2	yes	—
677	#124	—	2	1	no	—
678	#124	—	2	2	no	—
679	#124	—	2	2	no	—
680	#124	—	2	2	no	—
681	#124	C₂³×C₂₃	1	2	yes	—
682	#123	—	2	2	no	—
683	#123	—	2	2	no	—
684	#123	—	2	2	no	—
685	#123	—	2	2	no	—
686	#123	—	2	2	no	—
687	#123	—	2	2	no	—
688	#123	—	2	2	no	—
689	#123	D₄×C₂₃	1	2	yes	—
690	C₂²⋊Q₈	—	2	2	no	—
691	C₂²⋊Q₈	—	2	1	no	—
692	C₂²⋊Q₈	—	2	1	no	—
693	C₂²⋊Q₈	—	2	1	no	—
694	C₂²⋊Q₈	—	2	1	no	—
695	C₂²⋊Q₈	—	2	2	no	—
696	C₂²⋊Q₈	—	2	2	no	—
697	C₂²⋊Q₈	—	2	2	no	—
698	C₂²⋊Q₈	—	2	2	no	—
699	C₂²⋊Q₈	—	2	2	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
704	C₂²⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
705	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
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	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
710	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
711	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
712	#121	—	2	2	no	—
713	#121	—	2	2	no	—
714	#121	—	2	2	no	—
715	#121	—	2	2	no	—
716	#121	—	2	1	no	—
717	#121	—	2	1	no	—
718	#121	—	2	2	no	—
719	#121	D₄×C₂₃	1	1	yes	characteristic
720	#121	D₄×C₂₃	1	1	yes	characteristic
721	#121	C₂³×C₂₃	1	2	yes	—
722	#121	C₂³×C₂₃	1	2	yes	—
723	#121	C₂³×C₂₃	1	2	yes	—
724	#120	—	2	2	no	—
725	#120	D₄×C₂₃	1	2	yes	—
726	C₄×Q₈	—	2	1	no	—
727	C₄×Q₈	—	2	1	no	—
728	C₄×Q₈	—	2	1	no	—
729	C₄×Q₈	—	2	2	no	—
730	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
731	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
732	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
733	C₄×D₄	—	2	1	no	—
734	C₄×D₄	—	2	2	no	—
735	C₄×D₄	—	2	2	no	—
736	C₄×D₄	—	2	2	no	—
737	C₄×D₄	—	2	2	no	—
738	C₄×D₄	C₂³×C₂₃	1	2	yes	—
739	C₄×D₄	C₂³×C₂₃	1	2	yes	—
740	C₄×D₄	C₂³×C₂₃	1	2	yes	—
741	#117	—	2	1	no	—
742	#117	—	2	1	no	—
743	#117	—	2	2	no	—
744	#117	—	2	2	no	—
745	#117	—	2	2	no	—
746	#117	C₂³×C₂₃	1	1	yes	characteristic
747	#117	C₂³×C₂₃	1	1	yes	characteristic
748	#117	C₂³×C₂₃	1	1	yes	characteristic
749	#117	C₂³×C₂₃	1	1	yes	characteristic
750	#117	C₂³×C₂₃	1	2	yes	—
751	#117	C₂³×C₂₃	1	1	yes	characteristic
752	C₂×C₄⋊C₄	—	2	1	no	—
753	C₂×C₄⋊C₄	—	2	1	no	—
754	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
758	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₂₃	1	2	yes	—
761	C₂×C₂²⋊C₄	—	2	1	no	—
762	C₂×C₂²⋊C₄	—	2	1	no	—
763	C₂×C₂²⋊C₄	—	2	1	no	—
764	C₂×C₂²⋊C₄	—	2	1	no	—
765	C₂×C₂²⋊C₄	—	2	2	no	—
766	C₂×C₄²	—	2	1	no	—
767	#107	C₂³×C₂₃	1	2	yes	—
768	#107	C₂³×C₂₃	1	2	yes	—
769	#107	C₂³×C₂₃	1	2	yes	—
770	#107	C₂³×C₂₃	1	2	yes	—
771	#107	C₂³×C₂₃	1	2	yes	—
772	#107	C₂³×C₂₃	1	2	yes	—
773	#107	C₂³×C₂₃	1	2	yes	—
774	#107	C₂³×C₂₃	1	2	yes	—
775	#106	C₂³×C₂₃	1	2	yes	—
776	#106	C₂³×C₂₃	1	2	yes	—
777	#106	C₂³×C₂₃	1	2	yes	—
778	#106	C₂³×C₂₃	1	2	yes	—
779	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
780	C₄⋊C₈	C₂³×C₂₃	1	2	yes	—
781	#103	C₂³×C₂₃	1	2	yes	—
782	#103	C₂³×C₂₃	1	2	yes	—
783	#103	C₂³×C₂₃	1	2	yes	—
784	#103	C₂³×C₂₃	1	2	yes	—
785	#103	C₂³×C₂₃	1	2	yes	—
786	#103	C₂³×C₂₃	1	2	yes	—
787	#103	C₂³×C₂₃	1	2	yes	—
788	#103	C₂³×C₂₃	1	2	yes	—
789	#103	C₂³×C₂₃	1	2	yes	—
790	#103	C₂³×C₂₃	1	2	yes	—
791	#102	C₂³×C₂₃	1	2	yes	—
792	#102	C₂³×C₂₃	1	2	yes	—
793	#102	C₂³×C₂₃	1	2	yes	—
794	#102	C₂³×C₂₃	1	2	yes	—
795	#102	C₂³×C₂₃	1	2	yes	—
796	#102	C₂³×C₂₃	1	2	yes	—
797	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
798	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
799	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
800	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
801	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
802	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
803	#97	C₂³×C₂₃	1	2	yes	—
804	C₄×C₈	C₂³×C₂₃	1	2	yes	—
805	C₂₃	#61754	1	1	yes	characteristic, direct product factor, Sylow
806	C₂⁴	—	2	1	no	—
807	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
808	#41	—	4	1	no	—
809	#41	—	4	1	no	—
810	#41	—	4	2	no	—
811	#41	—	4	2	no	—
812	#41	—	8	4	no	—
813	C₂×Q₈	—	2	1	no	—
814	C₂×Q₈	—	2	2	no	—
815	C₂×Q₈	—	2	1	no	—
816	C₂×Q₈	—	2	2	no	—
817	C₂×Q₈	—	4	1	no	—
818	C₂×Q₈	—	4	1	no	—
819	C₂×Q₈	—	4	1	no	—
820	C₂×Q₈	—	4	1	no	—
821	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
822	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
823	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	1	no	—
829	C₂×D₄	—	4	1	no	—
830	C₂×D₄	—	4	1	no	—
831	C₂×D₄	—	8	2	no	—
832	C₂×D₄	C₂×D₄×C₂₃	1	2	yes	—
833	C₂×D₄	C₂×D₄×C₂₃	1	2	yes	—
834	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
835	C₂×D₄	C₂×D₄×C₂₃	1	2	yes	—
836	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	1	no	—
843	C₂²×C₄	—	2	1	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	2	no	—
847	C₂²×C₄	—	2	2	no	—
848	C₂²×C₄	—	4	1	no	—
849	C₂²×C₄	—	4	1	no	—
850	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
851	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
852	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
854	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
856	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
857	Q₁₆	—	4	2	no	—
858	Q₁₆	—	4	2	no	—
859	SD₁₆	—	4	2	no	—
860	SD₁₆	—	4	2	no	—
861	M₁₆	—	4	1	no	—
862	M₁₆	—	4	2	no	—
863	M₁₆	—	4	1	no	—
864	C₂×C₈	—	4	1	no	—
865	C₂×C₈	—	4	2	no	—
866	C₂×C₈	—	4	1	no	—
867	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
868	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
869	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
870	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	1	no	—
876	C₄⋊C₄	—	2	1	no	—
877	C₄⋊C₄	—	2	1	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	1	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	1	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	2	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
893	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
894	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
895	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
896	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
897	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
898	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
899	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
900	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
901	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
902	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	1	no	—
905	C₂²⋊C₄	—	2	1	no	—
906	C₂²⋊C₄	—	2	1	no	—
907	C₂²⋊C₄	—	2	1	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	—	2	2	no	—
921	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
922	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
923	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
924	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
925	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
926	C₄²	—	2	1	no	—
927	C₄²	—	2	1	no	—
928	C₄²	—	2	1	no	—
929	C₄²	—	2	1	no	—
930	C₄²	—	2	2	no	—
931	C₄²	—	2	2	no	—
932	C₄²	—	2	2	no	—
933	C₄²	—	2	2	no	—
934	C₄²	C₂⁴×C₂₃	1	2	yes	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	4	1	no	—
938	C₂³	—	4	1	no	—
939	C₂³	—	4	2	no	—
940	C₂³	—	8	1	no	—
941	C₂³	—	8	1	no	—
942	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
943	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
944	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
945	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
946	Q₈	—	2	2	no	—
947	Q₈	—	2	2	no	—
948	Q₈	—	2	2	no	—
949	Q₈	—	2	2	no	—
950	Q₈	—	4	1	no	—
951	Q₈	—	4	2	no	—
952	Q₈	—	8	1	no	—
953	Q₈	—	8	2	no	—
954	Q₈	—	8	2	no	—
955	D₄	—	2	4	no	—
956	D₄	—	2	2	no	—
957	D₄	—	2	2	no	—
958	D₄	—	4	1	no	—
959	D₄	—	4	2	no	—
960	D₄	—	4	2	no	—
961	D₄	—	4	4	no	—
962	D₄	—	8	1	no	—
963	D₄	—	8	2	no	—
964	D₄	—	8	2	no	—
965	D₄	—	8	2	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	1	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	4	1	no	—
984	C₂×C₄	—	4	1	no	—
985	C₂×C₄	—	4	1	no	—
986	C₂×C₄	—	4	2	no	—
987	C₂×C₄	—	4	2	no	—
988	C₂×C₄	—	4	2	no	—
989	C₂×C₄	—	8	2	no	—
990	C₂×C₄	—	8	2	no	—
991	C₂×C₄	—	8	1	no	—
992	C₂×C₄	—	8	1	no	—
993	C₂×C₄	—	8	2	no	—
994	C₂×C₄	—	8	2	no	—
995	C₂×C₄	—	8	1	no	—
996	C₂×C₄	—	8	1	no	—
997	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
998	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
999	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1000	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1001	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1002	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1003	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1004	C₈	—	2	2	no	—
1005	C₈	—	2	2	no	—
1006	C₈	—	2	2	no	—
1007	C₈	—	2	2	no	—
1008	C₂²	—	2	1	no	—
1009	C₂²	—	2	1	no	—
1010	C₂²	—	2	1	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	2	2	no	—
1013	C₂²	—	2	2	no	—
1014	C₂²	—	2	1	no	—
1015	C₂²	—	2	1	no	—
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	2	no	—
1018	C₂²	—	2	1	no	—
1019	C₂²	—	4	2	no	—
1020	C₂²	—	4	2	no	—
1021	C₂²	—	4	2	no	—
1022	C₂²	—	8	2	no	—
1023	C₂²	—	16	2	no	—
1024	C₂²	C₂₃×#578	1	2	yes	—
1025	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1026	C₄	—	2	1	no	—
1027	C₄	—	2	1	no	—
1028	C₄	—	2	1	no	—
1029	C₄	—	2	2	no	—
1030	C₄	—	2	2	no	—
1031	C₄	—	2	2	no	—
1032	C₄	—	4	2	no	—
1033	C₄	—	4	2	no	—
1034	C₄	—	4	1	no	—
1035	C₄	—	4	1	no	—
1036	C₄	—	4	2	no	—
1037	C₄	—	4	1	no	—
1038	C₄	—	4	2	no	—
1039	C₄	—	4	2	no	—
1040	C₄	—	4	1	no	—
1041	C₄	C₂₃×#585	1	1	yes	characteristic
1042	C₄	C₂₃×#585	1	1	yes	characteristic
1043	C₂	—	2	2	no	—
1044	C₂	—	4	1	no	—
1045	C₂	—	4	1	no	—
1046	C₂	—	4	2	no	—
1047	C₂	—	8	2	no	—
1048	C₂	C₂₃×#3485	1	1	yes	characteristic
1049	C₂	C₂×C₂₃×#578	1	1	yes	characteristic
1050	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×#3536	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃ ◁ C₂₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂₃×#3495	C₂	semidirect
3. C₂₃×#3353	C₂	semidirect
4. C₂₃×#3344	C₂	semidirect
5. C₂₃×#3343	C₂	semidirect
6. C₂₃×#3338	C₂	semidirect
7. C₂₃×#3327	C₂	semidirect
8. C₂₃×#3314	C₂	semidirect
9. C₂₃×#3313	C₂	semidirect
10. C₂₃×#3296	C₂	semidirect
11. C₂₃×#3243	C₂	semidirect
12. C₂₃×#3201	C₂	semidirect
13. C₂₃×#3193	C₂	semidirect
14. C₂₃×#3189	C₂	semidirect
15. C₂₃×#3121	C₂	semidirect
16. C₂₃×#3098	C₂	semidirect
17. C₂₃×#3095	C₂	semidirect
18. C₂×C₂₃×#482	C₂	semidirect
19. C₂₃×#2976	C₂	semidirect
21. C₂₃×#556	C₂²	semidirect
26. C₂₃×#552	C₂²	semidirect
32. C₂₃×#544	C₂²	semidirect
41. C₂₃×#536	C₂²	semidirect
48. C₂₃×#520	C₂²	semidirect
49. C₂₃×#519	C₂²	semidirect
51. C₂₃×#501	C₂²	semidirect
52. C₂₃×#500	C₂²	semidirect
53. C₂₃×#489	C₂²	semidirect
54. C₂₃×#488	C₂²	semidirect
55. C₂₃×#485	C₂²	semidirect
56. C₂₃×#485	C₂²	semidirect
57. C₂₃×#485	C₂²	semidirect
60. C₂₃×#484	C₂²	semidirect
61. C₂₃×#484	C₂²	semidirect
62. C₂₃×#484	C₂²	semidirect
63. C₂₃×#484	C₂²	semidirect
65. C₂₃×#483	C₂²	semidirect
70. C₂₃×#482	C₂²	semidirect
72. C₂₃×#480	C₂²	semidirect
73. C₂₃×#479	C₂²	semidirect
74. C₂₃×#478	C₂²	semidirect
75. C₂₃×#477	C₂²	semidirect
76. C₂₃×#477	C₂²	semidirect
77. C₂₃×#475	C₂²	semidirect
78. C₂₃×#474	C₂²	semidirect
79. C₂₃×#470	C₂²	semidirect
82. C₂₃×#468	C₂²	semidirect
85. C₂₃×#467	C₂²	semidirect
86. C₂₃×#465	C₂²	semidirect
87. C₂₃×#464	C₂²	semidirect
88. C₂₃×#464	C₂²	semidirect
89. C₂₃×#452	C₂²	semidirect
90. C₂₃×#452	C₂²	semidirect
91. C₂₃×#451	C₂²	semidirect
92. C₂₃×#451	C₂²	semidirect
95. C₂₃×#441	C₂²	semidirect
96. C₂₃×#440	C₂²	semidirect
97. C₄×Q₁₆×C₂₃	C₂²	semidirect
98. C₄×SD₁₆×C₂₃	C₂²	semidirect
99. C₂₃×#436	C₂²	semidirect
101. C₂₃×#435	C₂²	semidirect
103. C₂₃×#433	C₂²	semidirect
104. C₂₃×#428	C₂²	semidirect
105. C₂₃×#428	C₂²	semidirect
106. C₂₃×#428	C₂²	semidirect
108. C₂×C₂₃×#107	C₂²	semidirect
110. C₂₃×#419	C₂²	semidirect
111. C₂₃×#419	C₂²	semidirect
112. C₂₃×#417	C₂²	semidirect
113. C₂₃×#416	C₂²	semidirect
116. C₂₃×#408	C₂²	semidirect
409. #61754	C₂₃	direct (N × H)
484. #3495	C₂×C₂₃	semidirect
485. #3353	C₂×C₂₃	semidirect
486. #3344	C₂×C₂₃	semidirect
487. #3343	C₂×C₂₃	semidirect
488. #3338	C₂×C₂₃	semidirect
489. #3327	C₂×C₂₃	semidirect
490. #3314	C₂×C₂₃	semidirect
491. #3313	C₂×C₂₃	semidirect
492. #3296	C₂×C₂₃	semidirect
493. #3243	C₂×C₂₃	semidirect
494. #3201	C₂×C₂₃	semidirect
495. #3193	C₂×C₂₃	semidirect
496. #3189	C₂×C₂₃	semidirect
497. #3121	C₂×C₂₃	semidirect
498. #3098	C₂×C₂₃	semidirect
499. #3095	C₂×C₂₃	semidirect
500. C₂×#482	C₂×C₂₃	semidirect
501. #2976	C₂×C₂₃	semidirect
538. #556	C₂²×C₂₃	semidirect
543. #552	C₂²×C₂₃	semidirect
549. #544	C₂²×C₂₃	semidirect
558. #536	C₂²×C₂₃	semidirect
565. #520	C₂²×C₂₃	semidirect
566. #519	C₂²×C₂₃	semidirect
568. #501	C₂²×C₂₃	semidirect
569. #500	C₂²×C₂₃	semidirect
570. #489	C₂²×C₂₃	semidirect
571. #488	C₂²×C₂₃	semidirect
572. #485	C₂²×C₂₃	semidirect
573. #485	C₂²×C₂₃	semidirect
574. #485	C₂²×C₂₃	semidirect
577. #484	C₂²×C₂₃	semidirect
578. #484	C₂²×C₂₃	semidirect
579. #484	C₂²×C₂₃	semidirect
580. #484	C₂²×C₂₃	semidirect
582. #483	C₂²×C₂₃	semidirect
587. #482	C₂²×C₂₃	semidirect
589. #480	C₂²×C₂₃	semidirect
590. #479	C₂²×C₂₃	semidirect
591. #478	C₂²×C₂₃	semidirect
592. #477	C₂²×C₂₃	semidirect
593. #477	C₂²×C₂₃	semidirect
594. #475	C₂²×C₂₃	semidirect
595. #474	C₂²×C₂₃	semidirect
596. #470	C₂²×C₂₃	semidirect
599. #468	C₂²×C₂₃	semidirect
602. #467	C₂²×C₂₃	semidirect
603. #465	C₂²×C₂₃	semidirect
604. #464	C₂²×C₂₃	semidirect
605. #464	C₂²×C₂₃	semidirect
606. #452	C₂²×C₂₃	semidirect
607. #452	C₂²×C₂₃	semidirect
608. #451	C₂²×C₂₃	semidirect
609. #451	C₂²×C₂₃	semidirect
612. #441	C₂²×C₂₃	semidirect
613. #440	C₂²×C₂₃	semidirect
614. C₄×Q₁₆	C₂²×C₂₃	semidirect
615. C₄×SD₁₆	C₂²×C₂₃	semidirect
616. #436	C₂²×C₂₃	semidirect
618. #435	C₂²×C₂₃	semidirect
620. #433	C₂²×C₂₃	semidirect
621. #428	C₂²×C₂₃	semidirect
622. #428	C₂²×C₂₃	semidirect
623. #428	C₂²×C₂₃	semidirect
625. C₂×#107	C₂²×C₂₃	semidirect
627. #419	C₂²×C₂₃	semidirect
628. #419	C₂²×C₂₃	semidirect
629. #417	C₂²×C₂₃	semidirect
630. #416	C₂²×C₂₃	semidirect
633. #408	C₂²×C₂₃	semidirect
805. C₂₃	#61754	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×#3536	2
C₂₃×#3495	2
C₂₃×#3353	2
C₂₃×#3344	2
C₂₃×#3343	2
C₂₃×#3338	2
C₂₃×#3327	2
C₂₃×#3314	2
C₂₃×#3313	2
C₂₃×#3296	2
C₂₃×#3243	2
C₂₃×#3201	2
C₂₃×#3193	2
C₂₃×#3189	2
C₂₃×#3121	2
C₂₃×#3098	2
C₂₃×#3095	2
C₂×C₂₃×#482	2
C₂₃×#2976	2
#61754	23

Subgroups — C23×#61754 #19209380

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61754 #19209380