Subgroups — C₂₃×#25089 #19172715

Order 5888.

1078 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#467	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₂₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₂₃×#452	C₂	1	1	yes	maximal, characteristic
4	C₂×C₂₃×#416	C₂	1	1	yes	maximal, characteristic
5	C₂₃×#2432	C₂	1	1	yes	maximal, characteristic
6	C₂₃×#2362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2068	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2055	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2042	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2016	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#1981	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#1925	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#1878	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#1873	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#1850	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#41×C₂₃	C₂²	1	1	yes	characteristic
17	C₂²×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic
18	C₂²×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic
19	C₂²×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
20	C₂³×C₈×C₂₃	C₂²	1	1	yes	characteristic
21	C₂×C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
22	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic
23	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
26	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic
27	C₂₃×#467	—	2	4	no	—
28	C₂₃×#464	—	2	4	no	—
29	C₂₃×#452	—	2	4	no	—
30	C₂×C₂₃×#107	C₂²	1	1	yes	characteristic
31	C₂×C₂₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
32	C₂×C₂₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
33	C₂₃×#416	—	2	4	no	—
34	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
35	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
36	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
37	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
38	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
39	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
40	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
41	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic
42	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic
43	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic
44	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
45	C₂₃×#394	—	2	1	no	—
46	C₂₃×#394	—	2	1	no	—
47	C₂₃×#391	C₂²	1	1	yes	characteristic
48	C₂₃×#391	C₂²	1	1	yes	characteristic
49	C₂₃×#390	C₂²	1	1	yes	characteristic
50	C₂₃×#389	C₂²	1	1	yes	characteristic
51	C₂₃×#388	—	2	1	no	—
52	C₂₃×#388	—	2	1	no	—
53	C₂₃×#387	—	2	1	no	—
54	C₂₃×#385	—	2	1	no	—
55	C₂₃×#385	—	2	1	no	—
56	C₄×C₄⋊C₄×C₂₃	—	2	1	no	—
57	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
58	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
59	C₂₃×#340	C₂²	1	1	yes	characteristic
60	C₂₃×#340	C₂²	1	1	yes	characteristic
61	C₂₃×#336	C₂²	1	1	yes	characteristic
62	C₂₃×#336	C₂²	1	1	yes	characteristic
63	C₂×#41×C₂₃	—	2	2	no	—
64	C₂×#41×C₂₃	—	2	2	no	—
65	C₂×#41×C₂₃	—	2	2	no	—
66	C₂×#41×C₂₃	—	2	2	no	—
67	C₂×#41×C₂₃	—	4	1	no	—
68	C₂×#41×C₂₃	—	4	1	no	—
69	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
70	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
71	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
72	C₂²×D₄×C₂₃	—	2	1	no	—
73	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
74	C₂³×C₄×C₂₃	—	2	1	no	—
75	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
76	C₂×Q₁₆×C₂₃	—	2	2	no	—
77	C₂×Q₁₆×C₂₃	—	2	2	no	—
78	C₂×Q₁₆×C₂₃	—	2	2	no	—
79	C₂×Q₁₆×C₂₃	—	2	2	no	—
80	C₂×Q₁₆×C₂₃	—	4	1	no	—
81	C₂×Q₁₆×C₂₃	—	4	1	no	—
82	C₂×SD₁₆×C₂₃	—	2	2	no	—
83	C₂×SD₁₆×C₂₃	—	2	2	no	—
84	C₂×SD₁₆×C₂₃	—	4	1	no	—
85	C₂²×C₈×C₂₃	—	2	2	no	—
86	C₂²×C₈×C₂₃	—	2	2	no	—
87	C₂²×C₈×C₂₃	—	4	1	no	—
88	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
89	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
90	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
91	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
92	C₂₃×C₄⋊Q₈	—	2	2	no	—
93	C₂₃×C₄⋊Q₈	—	4	1	no	—
94	C₂₃×#124	—	2	2	no	—
95	C₂₃×#124	—	4	1	no	—
96	C₂₃×C₂²⋊Q₈	—	2	2	no	—
97	C₂₃×C₂²⋊Q₈	—	2	2	no	—
98	C₂₃×C₂²⋊Q₈	—	2	2	no	—
99	C₂₃×C₂²⋊Q₈	D₄	1	4	yes	—
100	C₄×Q₈×C₂₃	—	2	2	no	—
101	C₄×Q₈×C₂₃	—	4	1	no	—
102	C₂₃×#117	—	2	2	no	—
103	C₂₃×#117	—	4	1	no	—
104	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
105	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
106	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
107	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
108	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
109	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
110	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
111	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
112	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
113	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
114	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
115	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
116	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
117	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
118	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
119	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
120	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
121	C₂×C₂²⋊C₄×C₂₃	D₄	1	1	yes	characteristic
122	C₂×C₂²⋊C₄×C₂₃	D₄	1	1	yes	characteristic
123	C₂×C₄²×C₂₃	—	2	1	no	—
124	C₂×C₄²×C₂₃	—	2	1	no	—
125	C₂×C₄²×C₂₃	—	2	1	no	—
126	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
127	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
128	C₂₃×#107	—	2	2	no	—
129	C₂₃×C₄⋊C₈	—	2	2	no	—
130	C₂₃×C₄⋊C₈	—	4	1	no	—
131	C₂₃×#103	—	2	2	no	—
132	C₂₃×#103	—	2	2	no	—
133	C₂₃×#103	—	2	2	no	—
134	C₂₃×#103	—	2	2	no	—
135	C₂₃×#103	—	2	2	no	—
136	C₂₃×#103	—	2	2	no	—
137	C₂₃×#103	—	4	1	no	—
138	C₂₃×#102	—	2	2	no	—
139	C₂₃×#102	—	2	2	no	—
140	C₂₃×#102	D₄	1	4	yes	—
141	C₂₃×C₂²⋊C₈	—	2	2	no	—
142	C₂₃×#95	—	2	1	no	—
143	C₂₃×#95	—	2	1	no	—
144	C₂₃×#95	—	2	1	no	—
145	C₂₃×#95	—	2	1	no	—
146	C₂₃×#95	—	2	1	no	—
147	C₂₃×#95	—	2	1	no	—
148	C₂₃×#95	D₄	1	1	yes	characteristic
149	C₂₃×#95	D₄	1	1	yes	characteristic
150	C₂⁴×C₂₃	—	2	1	no	—
151	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
152	#41×C₂₃	—	2	8	no	—
153	#41×C₂₃	—	4	4	no	—
154	#41×C₂₃	—	4	4	no	—
155	#41×C₂₃	—	4	4	no	—
156	C₂×Q₈×C₂₃	—	2	1	no	—
157	C₂×Q₈×C₂₃	—	2	1	no	—
158	C₂×Q₈×C₂₃	—	2	1	no	—
159	C₂×Q₈×C₂₃	—	2	1	no	—
160	C₂×Q₈×C₂₃	—	2	1	no	—
161	C₂×Q₈×C₂₃	—	2	1	no	—
162	C₂×Q₈×C₂₃	—	2	1	no	—
163	C₂×Q₈×C₂₃	—	2	1	no	—
164	C₂×Q₈×C₂₃	—	2	1	no	—
165	C₂×Q₈×C₂₃	—	2	1	no	—
166	C₂×Q₈×C₂₃	—	2	1	no	—
167	C₂×Q₈×C₂₃	—	2	1	no	—
168	C₂×Q₈×C₂₃	—	2	1	no	—
169	C₂×Q₈×C₂₃	—	2	1	no	—
170	C₂×Q₈×C₂₃	—	2	1	no	—
171	C₂×Q₈×C₂₃	—	2	1	no	—
172	C₂×Q₈×C₂₃	C₂×D₄	1	2	yes	—
173	C₂×Q₈×C₂₃	#41	1	2	yes	—
174	C₂×D₄×C₂₃	—	2	1	no	—
175	C₂×D₄×C₂₃	—	2	1	no	—
176	C₂×D₄×C₂₃	—	2	1	no	—
177	C₂×D₄×C₂₃	—	2	1	no	—
178	C₂×D₄×C₂₃	—	2	1	no	—
179	C₂×D₄×C₂₃	—	4	2	no	—
180	C₂×D₄×C₂₃	—	4	2	no	—
181	C₂×D₄×C₂₃	—	4	2	no	—
182	C₂×D₄×C₂₃	C₂×D₄	1	2	yes	—
183	C₂²×C₄×C₂₃	—	2	1	no	—
184	C₂²×C₄×C₂₃	—	2	1	no	—
185	C₂²×C₄×C₂₃	—	2	1	no	—
186	C₂²×C₄×C₂₃	—	2	1	no	—
187	C₂²×C₄×C₂₃	—	2	1	no	—
188	C₂²×C₄×C₂₃	—	2	1	no	—
189	C₂²×C₄×C₂₃	—	2	1	no	—
190	C₂²×C₄×C₂₃	—	2	1	no	—
191	C₂²×C₄×C₂₃	—	2	1	no	—
192	C₂²×C₄×C₂₃	—	2	1	no	—
193	C₂²×C₄×C₂₃	—	2	1	no	—
194	C₂²×C₄×C₂₃	—	4	2	no	—
195	C₂²×C₄×C₂₃	—	4	2	no	—
196	C₂²×C₄×C₂₃	—	4	2	no	—
197	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
198	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
199	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
200	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
201	C₂²×C₄×C₂₃	C₂×D₄	1	2	yes	—
202	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₂₃	#41	1	2	yes	—
204	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
205	Q₁₆×C₂₃	—	4	4	no	—
206	Q₁₆×C₂₃	—	4	4	no	—
207	SD₁₆×C₂₃	—	4	4	no	—
208	C₂×C₈×C₂₃	—	2	1	no	—
209	C₂×C₈×C₂₃	—	2	1	no	—
210	C₂×C₈×C₂₃	—	2	1	no	—
211	C₂×C₈×C₂₃	—	2	1	no	—
212	C₂×C₈×C₂₃	—	2	1	no	—
213	C₂×C₈×C₂₃	—	2	1	no	—
214	C₂×C₈×C₂₃	—	2	1	no	—
215	C₂×C₈×C₂₃	—	2	1	no	—
216	C₂×C₈×C₂₃	—	2	1	no	—
217	C₂×C₈×C₂₃	—	2	1	no	—
218	C₂×C₈×C₂₃	—	2	1	no	—
219	C₂×C₈×C₂₃	—	4	4	no	—
220	C₂×C₈×C₂₃	C₂×D₄	1	2	yes	—
221	C₄⋊C₄×C₂₃	—	2	4	no	—
222	C₄⋊C₄×C₂₃	—	2	1	no	—
223	C₄⋊C₄×C₂₃	—	2	1	no	—
224	C₄⋊C₄×C₂₃	—	2	1	no	—
225	C₄⋊C₄×C₂₃	—	2	1	no	—
226	C₄⋊C₄×C₂₃	—	2	1	no	—
227	C₄⋊C₄×C₂₃	—	2	1	no	—
228	C₄⋊C₄×C₂₃	—	4	2	no	—
229	C₄⋊C₄×C₂₃	—	4	2	no	—
230	C₄⋊C₄×C₂₃	—	4	2	no	—
231	C₄⋊C₄×C₂₃	—	4	2	no	—
232	C₄⋊C₄×C₂₃	—	4	2	no	—
233	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
234	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
235	C₂²⋊C₄×C₂₃	—	2	4	no	—
236	C₂²⋊C₄×C₂₃	—	2	2	no	—
237	C₂²⋊C₄×C₂₃	—	4	1	no	—
238	C₂²⋊C₄×C₂₃	—	4	2	no	—
239	C₂²⋊C₄×C₂₃	—	4	2	no	—
240	C₂²⋊C₄×C₂₃	—	4	2	no	—
241	C₂²⋊C₄×C₂₃	—	4	2	no	—
242	C₂²⋊C₄×C₂₃	—	4	2	no	—
243	C₂²⋊C₄×C₂₃	—	4	2	no	—
244	C₄²×C₂₃	—	2	1	no	—
245	C₄²×C₂₃	—	2	1	no	—
246	C₄²×C₂₃	—	2	1	no	—
247	C₄²×C₂₃	—	2	1	no	—
248	C₄²×C₂₃	—	4	2	no	—
249	C₄²×C₂₃	—	4	2	no	—
250	C₄²×C₂₃	—	4	2	no	—
251	#25089	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
252	C₂³×C₂₃	—	2	1	no	—
253	C₂³×C₂₃	—	2	1	no	—
254	C₂³×C₂₃	—	2	1	no	—
255	C₂³×C₂₃	—	2	1	no	—
256	C₂³×C₂₃	—	2	1	no	—
257	C₂³×C₂₃	—	2	1	no	—
258	C₂³×C₂₃	—	2	2	no	—
259	C₂³×C₂₃	—	4	1	no	—
260	C₂³×C₂₃	—	4	1	no	—
261	C₂³×C₂₃	—	4	1	no	—
262	C₂³×C₂₃	—	4	1	no	—
263	C₂³×C₂₃	—	4	1	no	—
264	C₂³×C₂₃	—	4	1	no	—
265	C₂³×C₂₃	#121	1	2	yes	—
266	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
267	Q₈×C₂₃	—	2	2	no	—
268	Q₈×C₂₃	—	2	2	no	—
269	Q₈×C₂₃	—	2	2	no	—
270	Q₈×C₂₃	—	2	2	no	—
271	Q₈×C₂₃	—	4	1	no	—
272	Q₈×C₂₃	—	4	1	no	—
273	Q₈×C₂₃	—	4	1	no	—
274	Q₈×C₂₃	—	4	1	no	—
275	Q₈×C₂₃	—	4	1	no	—
276	Q₈×C₂₃	—	4	1	no	—
277	Q₈×C₂₃	—	4	1	no	—
278	Q₈×C₂₃	—	4	1	no	—
279	D₄×C₂₃	—	2	2	no	—
280	D₄×C₂₃	—	2	2	no	—
281	D₄×C₂₃	—	4	8	no	—
282	D₄×C₂₃	—	4	1	no	—
283	D₄×C₂₃	—	4	1	no	—
284	C₂×C₄×C₂₃	—	2	1	no	—
285	C₂×C₄×C₂₃	—	2	1	no	—
286	C₂×C₄×C₂₃	—	2	1	no	—
287	C₂×C₄×C₂₃	—	2	1	no	—
288	C₂×C₄×C₂₃	—	2	2	no	—
289	C₂×C₄×C₂₃	—	2	2	no	—
290	C₂×C₄×C₂₃	—	2	2	no	—
291	C₂×C₄×C₂₃	—	2	2	no	—
292	C₂×C₄×C₂₃	—	2	2	no	—
293	C₂×C₄×C₂₃	—	2	2	no	—
294	C₂×C₄×C₂₃	—	2	1	no	—
295	C₂×C₄×C₂₃	—	2	1	no	—
296	C₂×C₄×C₂₃	—	2	2	no	—
297	C₂×C₄×C₂₃	—	2	1	no	—
298	C₂×C₄×C₂₃	—	2	2	no	—
299	C₂×C₄×C₂₃	—	2	1	no	—
300	C₂×C₄×C₂₃	—	2	1	no	—
301	C₂×C₄×C₂₃	—	2	1	no	—
302	C₂×C₄×C₂₃	—	2	1	no	—
303	C₂×C₄×C₂₃	—	2	1	no	—
304	C₂×C₄×C₂₃	—	2	1	no	—
305	C₂×C₄×C₂₃	—	4	8	no	—
306	C₂×C₄×C₂₃	—	4	1	no	—
307	C₂×C₄×C₂₃	—	4	1	no	—
308	C₂×C₄×C₂₃	—	4	1	no	—
309	C₂×C₄×C₂₃	—	4	1	no	—
310	C₂×C₄×C₂₃	—	4	1	no	—
311	C₂×C₄×C₂₃	—	4	1	no	—
312	C₂×C₄×C₂₃	—	4	1	no	—
313	C₂×C₄×C₂₃	—	4	1	no	—
314	C₂×C₄×C₂₃	—	4	1	no	—
315	C₂×C₄×C₂₃	—	4	1	no	—
316	C₂×C₄×C₂₃	—	4	1	no	—
317	C₂×C₄×C₂₃	—	4	1	no	—
318	C₂×C₄×C₂₃	—	4	1	no	—
319	C₂×C₄×C₂₃	—	4	1	no	—
320	C₂×C₄×C₂₃	—	4	1	no	—
321	C₂×C₄×C₂₃	—	4	1	no	—
322	C₂×C₄×C₂₃	—	4	1	no	—
323	C₂×C₄×C₂₃	#121	1	2	yes	—
324	C₂×C₄×C₂₃	#135	1	2	yes	—
325	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
326	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
327	C₂×C₄×C₂₃	C₂×#41	1	1	yes	characteristic
328	C₂×C₄×C₂₃	C₂×#41	1	1	yes	characteristic
329	C₂×C₄×C₂₃	H(5,𝔽₂)	1	1	yes	characteristic
330	C₂×C₄×C₂₃	H(5,𝔽₂)	1	1	yes	characteristic
331	C₈×C₂₃	—	2	2	no	—
332	C₈×C₂₃	—	4	1	no	—
333	C₈×C₂₃	—	4	1	no	—
334	C₈×C₂₃	—	4	1	no	—
335	C₂×#467	C₂×C₂₃	1	1	yes	characteristic, complemented
336	C₂×#464	C₂×C₂₃	1	1	yes	characteristic, complemented
337	C₂×#452	C₂×C₂₃	1	1	yes	characteristic
338	C₂×#416	C₂×C₂₃	1	1	yes	characteristic
339	#2432	C₂×C₂₃	1	1	yes	characteristic
340	#2362	C₂×C₂₃	1	1	yes	characteristic, complemented
341	#2068	C₂×C₂₃	1	1	yes	characteristic, complemented
342	#2055	C₂×C₂₃	1	1	yes	characteristic, complemented
343	#2042	C₂×C₂₃	1	1	yes	characteristic, complemented
344	#2016	C₂×C₂₃	1	1	yes	characteristic, complemented
345	#1981	C₂×C₂₃	1	1	yes	characteristic, complemented
346	#1925	C₂×C₂₃	1	1	yes	characteristic, complemented
347	#1878	C₂×C₂₃	1	1	yes	characteristic, complemented
348	#1873	C₂×C₂₃	1	1	yes	characteristic, complemented
349	#1850	C₂×C₂₃	1	1	yes	characteristic, complemented
350	C₂²×C₂₃	—	2	2	no	—
351	C₂²×C₂₃	—	2	2	no	—
352	C₂²×C₂₃	—	2	2	no	—
353	C₂²×C₂₃	—	4	1	no	—
354	C₂²×C₂₃	—	4	1	no	—
355	C₂²×C₂₃	—	4	1	no	—
356	C₂²×C₂₃	—	4	1	no	—
357	C₂²×C₂₃	—	4	2	no	—
358	C₂²×C₂₃	—	4	2	no	—
359	C₂²×C₂₃	—	4	2	no	—
360	C₂²×C₂₃	—	8	1	no	—
361	C₂²×C₂₃	—	8	1	no	—
362	C₂²×C₂₃	—	8	1	no	—
363	C₂²×C₂₃	—	8	1	no	—
364	C₂²×C₂₃	C₂×#121	1	1	yes	characteristic
365	C₂²×C₂₃	D₄²	1	1	yes	characteristic
366	C₂²×C₂₃	#546	1	1	yes	characteristic
367	C₂²×C₂₃	C₂×#135	1	1	yes	characteristic
368	C₂²×C₂₃	#575	1	1	yes	characteristic
369	C₂²×C₂₃	#578	1	1	yes	characteristic
370	C₂²×C₂₃	#578	1	1	yes	characteristic
371	C₄×C₂₃	—	2	2	no	—
372	C₄×C₂₃	—	2	2	no	—
373	C₄×C₂₃	—	4	2	no	—
374	C₄×C₂₃	—	4	2	no	—
375	C₄×C₂₃	—	4	1	no	—
376	C₄×C₂₃	—	4	1	no	—
377	C₄×C₂₃	—	4	2	no	—
378	C₄×C₂₃	—	4	2	no	—
379	C₄×C₂₃	—	4	1	no	—
380	C₄×C₂₃	—	8	1	no	—
381	C₄×C₂₃	—	8	1	no	—
382	C₄×C₂₃	—	8	1	no	—
383	C₄×C₂₃	#525	1	1	yes	characteristic
384	C₄×C₂₃	#538	1	1	yes	characteristic
385	C₄×C₂₃	D₄²	1	1	yes	characteristic
386	C₄×C₂₃	#546	1	1	yes	characteristic
387	C₂²×#41	C₂²×C₂₃	1	1	yes	characteristic
388	C₂²×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic
389	C₂²×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic
390	C₂²×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
391	C₂³×C₈	C₂²×C₂₃	1	1	yes	characteristic
392	C₂×C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
393	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
394	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
395	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
396	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
397	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
398	#467	—	2	4	no	—
399	#464	—	2	4	no	—
400	#452	—	2	4	no	—
401	C₂×#107	C₂²×C₂₃	1	1	yes	characteristic
402	C₂×C₄⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
403	C₂×C₄⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
404	#416	—	2	4	no	—
405	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
406	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
407	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
408	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
409	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
410	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
411	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
412	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic
413	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic
414	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic
415	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
416	#394	—	2	1	no	—
417	#394	—	2	1	no	—
418	#391	C₂²×C₂₃	1	1	yes	characteristic
419	#391	C₂²×C₂₃	1	1	yes	characteristic
420	#390	C₂²×C₂₃	1	1	yes	characteristic
421	#389	C₂²×C₂₃	1	1	yes	characteristic
422	#388	—	2	1	no	—
423	#388	—	2	1	no	—
424	#387	—	2	1	no	—
425	#385	—	2	1	no	—
426	#385	—	2	1	no	—
427	C₄×C₄⋊C₄	—	2	1	no	—
428	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
429	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
430	#340	C₂²×C₂₃	1	1	yes	characteristic
431	#340	C₂²×C₂₃	1	1	yes	characteristic
432	#336	C₂²×C₂₃	1	1	yes	characteristic
433	#336	C₂²×C₂₃	1	1	yes	characteristic
434	C₂×C₂₃	—	4	2	no	—
435	C₂×C₂₃	—	8	2	no	—
436	C₂×C₂₃	#2424	1	1	yes	characteristic
437	C₂×C₂₃	#3035	1	1	yes	characteristic
438	C₂×C₂₃	#3044	1	1	yes	characteristic
439	C₂×C₂₃	#3269	1	1	yes	characteristic
440	C₂×C₂₃	#3283	1	1	yes	characteristic
441	C₂×C₂₃	#3300	1	1	yes	characteristic
442	C₂×C₂₃	#3313	1	1	yes	characteristic
443	C₂×#41	—	2	2	no	—
444	C₂×#41	—	2	2	no	—
445	C₂×#41	—	2	2	no	—
446	C₂×#41	—	2	2	no	—
447	C₂×#41	—	4	1	no	—
448	C₂×#41	—	4	1	no	—
449	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
450	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
451	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
452	C₂²×D₄	—	2	1	no	—
453	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
454	C₂³×C₄	—	2	1	no	—
455	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
456	C₂×Q₁₆	—	2	2	no	—
457	C₂×Q₁₆	—	2	2	no	—
458	C₂×Q₁₆	—	2	2	no	—
459	C₂×Q₁₆	—	2	2	no	—
460	C₂×Q₁₆	—	4	1	no	—
461	C₂×Q₁₆	—	4	1	no	—
462	C₂×SD₁₆	—	2	2	no	—
463	C₂×SD₁₆	—	2	2	no	—
464	C₂×SD₁₆	—	4	1	no	—
465	C₂²×C₈	—	2	2	no	—
466	C₂²×C₈	—	2	2	no	—
467	C₂²×C₈	—	4	1	no	—
468	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
469	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
470	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
471	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
472	C₄⋊Q₈	—	2	2	no	—
473	C₄⋊Q₈	—	4	1	no	—
474	#124	—	2	2	no	—
475	#124	—	4	1	no	—
476	C₂²⋊Q₈	—	2	2	no	—
477	C₂²⋊Q₈	—	2	2	no	—
478	C₂²⋊Q₈	—	2	2	no	—
479	C₂²⋊Q₈	D₄×C₂₃	1	4	yes	—
480	C₄×Q₈	—	2	2	no	—
481	C₄×Q₈	—	4	1	no	—
482	#117	—	2	2	no	—
483	#117	—	4	1	no	—
484	C₂×C₄⋊C₄	—	2	1	no	—
485	C₂×C₄⋊C₄	—	2	1	no	—
486	C₂×C₄⋊C₄	—	2	1	no	—
487	C₂×C₄⋊C₄	—	2	1	no	—
488	C₂×C₄⋊C₄	—	2	1	no	—
489	C₂×C₄⋊C₄	—	2	1	no	—
490	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
491	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
492	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
493	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
494	C₂×C₂²⋊C₄	—	2	1	no	—
495	C₂×C₂²⋊C₄	—	2	1	no	—
496	C₂×C₂²⋊C₄	—	2	1	no	—
497	C₂×C₂²⋊C₄	—	2	1	no	—
498	C₂×C₂²⋊C₄	—	2	1	no	—
499	C₂×C₂²⋊C₄	—	2	1	no	—
500	C₂×C₂²⋊C₄	—	2	1	no	—
501	C₂×C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
502	C₂×C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
503	C₂×C₄²	—	2	1	no	—
504	C₂×C₄²	—	2	1	no	—
505	C₂×C₄²	—	2	1	no	—
506	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
507	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
508	#107	—	2	2	no	—
509	C₄⋊C₈	—	2	2	no	—
510	C₄⋊C₈	—	4	1	no	—
511	#103	—	2	2	no	—
512	#103	—	2	2	no	—
513	#103	—	2	2	no	—
514	#103	—	2	2	no	—
515	#103	—	2	2	no	—
516	#103	—	2	2	no	—
517	#103	—	4	1	no	—
518	#102	—	2	2	no	—
519	#102	—	2	2	no	—
520	#102	D₄×C₂₃	1	4	yes	—
521	C₂²⋊C₈	—	2	2	no	—
522	#95	—	2	1	no	—
523	#95	—	2	1	no	—
524	#95	—	2	1	no	—
525	#95	—	2	1	no	—
526	#95	—	2	1	no	—
527	#95	—	2	1	no	—
528	#95	D₄×C₂₃	1	1	yes	characteristic
529	#95	D₄×C₂₃	1	1	yes	characteristic
530	C₂₃	#25089	1	1	yes	characteristic, direct product factor, Sylow
531	C₂⁴	—	2	1	no	—
532	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
533	#41	—	2	8	no	—
534	#41	—	4	4	no	—
535	#41	—	4	4	no	—
536	#41	—	4	4	no	—
537	C₂×Q₈	—	2	1	no	—
538	C₂×Q₈	—	2	1	no	—
539	C₂×Q₈	—	2	1	no	—
540	C₂×Q₈	—	2	1	no	—
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	1	no	—
548	C₂×Q₈	—	2	1	no	—
549	C₂×Q₈	—	2	1	no	—
550	C₂×Q₈	—	2	1	no	—
551	C₂×Q₈	—	2	1	no	—
552	C₂×Q₈	—	2	1	no	—
553	C₂×Q₈	C₂×D₄×C₂₃	1	2	yes	—
554	C₂×Q₈	#41×C₂₃	1	2	yes	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	1	no	—
557	C₂×D₄	—	2	1	no	—
558	C₂×D₄	—	2	1	no	—
559	C₂×D₄	—	2	1	no	—
560	C₂×D₄	—	4	2	no	—
561	C₂×D₄	—	4	2	no	—
562	C₂×D₄	—	4	2	no	—
563	C₂×D₄	C₂×D₄×C₂₃	1	2	yes	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	2	1	no	—
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	2	1	no	—
574	C₂²×C₄	—	2	1	no	—
575	C₂²×C₄	—	4	2	no	—
576	C₂²×C₄	—	4	2	no	—
577	C₂²×C₄	—	4	2	no	—
578	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
579	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
580	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
581	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
582	C₂²×C₄	C₂×D₄×C₂₃	1	2	yes	—
583	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
584	C₂²×C₄	#41×C₂₃	1	2	yes	—
585	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
586	Q₁₆	—	4	4	no	—
587	Q₁₆	—	4	4	no	—
588	SD₁₆	—	4	4	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	—	2	1	no	—
591	C₂×C₈	—	2	1	no	—
592	C₂×C₈	—	2	1	no	—
593	C₂×C₈	—	2	1	no	—
594	C₂×C₈	—	2	1	no	—
595	C₂×C₈	—	2	1	no	—
596	C₂×C₈	—	2	1	no	—
597	C₂×C₈	—	2	1	no	—
598	C₂×C₈	—	2	1	no	—
599	C₂×C₈	—	2	1	no	—
600	C₂×C₈	—	4	4	no	—
601	C₂×C₈	C₂×D₄×C₂₃	1	2	yes	—
602	C₄⋊C₄	—	2	4	no	—
603	C₄⋊C₄	—	2	1	no	—
604	C₄⋊C₄	—	2	1	no	—
605	C₄⋊C₄	—	2	1	no	—
606	C₄⋊C₄	—	2	1	no	—
607	C₄⋊C₄	—	2	1	no	—
608	C₄⋊C₄	—	2	1	no	—
609	C₄⋊C₄	—	4	2	no	—
610	C₄⋊C₄	—	4	2	no	—
611	C₄⋊C₄	—	4	2	no	—
612	C₄⋊C₄	—	4	2	no	—
613	C₄⋊C₄	—	4	2	no	—
614	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
615	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
616	C₂²⋊C₄	—	2	4	no	—
617	C₂²⋊C₄	—	2	2	no	—
618	C₂²⋊C₄	—	4	1	no	—
619	C₂²⋊C₄	—	4	2	no	—
620	C₂²⋊C₄	—	4	2	no	—
621	C₂²⋊C₄	—	4	2	no	—
622	C₂²⋊C₄	—	4	2	no	—
623	C₂²⋊C₄	—	4	2	no	—
624	C₂²⋊C₄	—	4	2	no	—
625	C₄²	—	2	1	no	—
626	C₄²	—	2	1	no	—
627	C₄²	—	2	1	no	—
628	C₄²	—	2	1	no	—
629	C₄²	—	4	2	no	—
630	C₄²	—	4	2	no	—
631	C₄²	—	4	2	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	—	2	2	no	—
639	C₂³	—	4	1	no	—
640	C₂³	—	4	1	no	—
641	C₂³	—	4	1	no	—
642	C₂³	—	4	1	no	—
643	C₂³	—	4	1	no	—
644	C₂³	—	4	1	no	—
645	C₂³	C₂₃×#121	1	2	yes	—
646	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
647	Q₈	—	2	2	no	—
648	Q₈	—	2	2	no	—
649	Q₈	—	2	2	no	—
650	Q₈	—	2	2	no	—
651	Q₈	—	4	1	no	—
652	Q₈	—	4	1	no	—
653	Q₈	—	4	1	no	—
654	Q₈	—	4	1	no	—
655	Q₈	—	4	1	no	—
656	Q₈	—	4	1	no	—
657	Q₈	—	4	1	no	—
658	Q₈	—	4	1	no	—
659	D₄	—	2	2	no	—
660	D₄	—	2	2	no	—
661	D₄	—	4	8	no	—
662	D₄	—	4	1	no	—
663	D₄	—	4	1	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	2	1	no	—
667	C₂×C₄	—	2	1	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	2	no	—
670	C₂×C₄	—	2	2	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	1	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	4	8	no	—
686	C₂×C₄	—	4	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	4	1	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	C₂₃×#121	1	2	yes	—
704	C₂×C₄	C₂₃×#135	1	2	yes	—
705	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
706	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
707	C₂×C₄	C₂×#41×C₂₃	1	1	yes	characteristic
708	C₂×C₄	C₂×#41×C₂₃	1	1	yes	characteristic
709	C₂×C₄	C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
710	C₂×C₄	C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
711	C₈	—	2	2	no	—
712	C₈	—	4	1	no	—
713	C₈	—	4	1	no	—
714	C₈	—	4	1	no	—
715	C₂²	—	2	2	no	—
716	C₂²	—	2	2	no	—
717	C₂²	—	2	2	no	—
718	C₂²	—	4	1	no	—
719	C₂²	—	4	1	no	—
720	C₂²	—	4	1	no	—
721	C₂²	—	4	1	no	—
722	C₂²	—	4	2	no	—
723	C₂²	—	4	2	no	—
724	C₂²	—	4	2	no	—
725	C₂²	—	8	1	no	—
726	C₂²	—	8	1	no	—
727	C₂²	—	8	1	no	—
728	C₂²	—	8	1	no	—
729	C₂²	C₂×C₂₃×#121	1	1	yes	characteristic
730	C₂²	D₄²×C₂₃	1	1	yes	characteristic
731	C₂²	C₂₃×#546	1	1	yes	characteristic
732	C₂²	C₂×C₂₃×#135	1	1	yes	characteristic
733	C₂²	C₂₃×#575	1	1	yes	characteristic
734	C₂²	C₂₃×#578	1	1	yes	characteristic
735	C₂²	C₂₃×#578	1	1	yes	characteristic
736	C₄	—	2	2	no	—
737	C₄	—	2	2	no	—
738	C₄	—	4	2	no	—
739	C₄	—	4	2	no	—
740	C₄	—	4	1	no	—
741	C₄	—	4	1	no	—
742	C₄	—	4	2	no	—
743	C₄	—	4	2	no	—
744	C₄	—	4	1	no	—
745	C₄	—	8	1	no	—
746	C₄	—	8	1	no	—
747	C₄	—	8	1	no	—
748	C₄	C₂₃×#525	1	1	yes	characteristic
749	C₄	C₂₃×#538	1	1	yes	characteristic
750	C₄	D₄²×C₂₃	1	1	yes	characteristic
751	C₄	C₂₃×#546	1	1	yes	characteristic
752	C₂	—	4	2	no	—
753	C₂	—	8	2	no	—
754	C₂	C₂₃×#2424	1	1	yes	characteristic
755	C₂	C₂₃×#3035	1	1	yes	characteristic
756	C₂	C₂₃×#3044	1	1	yes	characteristic
757	C₂	C₂₃×#3269	1	1	yes	characteristic
758	C₂	C₂₃×#3283	1	1	yes	characteristic
759	C₂	C₂₃×#3300	1	1	yes	characteristic
760	C₂	C₂₃×#3313	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₂₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₂₃
prime radical	C₂²×#41×C₂₃	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₃ ◁ C₄×C₂²⋊C₄×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₂₃×#467	C₂	semidirect
2. C₂×C₂₃×#464	C₂	semidirect
6. C₂₃×#2362	C₂	semidirect
7. C₂₃×#2068	C₂	semidirect
8. C₂₃×#2055	C₂	semidirect
9. C₂₃×#2042	C₂	semidirect
10. C₂₃×#2016	C₂	semidirect
11. C₂₃×#1981	C₂	semidirect
12. C₂₃×#1925	C₂	semidirect
13. C₂₃×#1878	C₂	semidirect
14. C₂₃×#1873	C₂	semidirect
15. C₂₃×#1850	C₂	semidirect
251. #25089	C₂₃	direct (N × H)
335. C₂×#467	C₂×C₂₃	semidirect
336. C₂×#464	C₂×C₂₃	semidirect
340. #2362	C₂×C₂₃	semidirect
341. #2068	C₂×C₂₃	semidirect
342. #2055	C₂×C₂₃	semidirect
343. #2042	C₂×C₂₃	semidirect
344. #2016	C₂×C₂₃	semidirect
345. #1981	C₂×C₂₃	semidirect
346. #1925	C₂×C₂₃	semidirect
347. #1878	C₂×C₂₃	semidirect
348. #1873	C₂×C₂₃	semidirect
349. #1850	C₂×C₂₃	semidirect
530. C₂₃	#25089	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₂₃×#467	2
C₂×C₂₃×#464	2
C₂×C₂₃×#452	2
C₂×C₂₃×#416	2
C₂₃×#2432	2
C₂₃×#2362	2
C₂₃×#2068	2
C₂₃×#2055	2
C₂₃×#2042	2
C₂₃×#2016	2
C₂₃×#1981	2
C₂₃×#1925	2
C₂₃×#1878	2
C₂₃×#1873	2
C₂₃×#1850	2
#25089	23

Subgroups — C23×#25089 #19172715

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#25089 #19172715