Subgroups — C₂₃×#9090 #19156716

Order 5888.

512 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#2982	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₂₃×#440	C₂	1	1	yes	maximal, characteristic
3	C₂₃×#1479	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#1478	C₂	1	1	yes	maximal, characteristic
5	C₂₃×#1460	C₂	1	1	yes	maximal, characteristic
6	C₂₃×#1281	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#1275	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×SD₁₆×C₂₃	C₄	1	1	yes	characteristic
9	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
11	C₈×Q₈×C₂₃	—	2	2	no	—
12	C₈×Q₈×C₂₃	—	2	2	no	—
13	C₂₃×#440	—	2	2	no	—
14	C₂₃×#440	—	2	2	no	—
15	C₂₃×#431	—	2	2	no	—
16	C₂₃×#431	C₂²	1	1	yes	characteristic
17	C₂₃×#431	C₂²	1	1	yes	characteristic
18	C₂₃×#431	C₂²	1	1	yes	characteristic
19	C₂₃×#431	C₂²	1	1	yes	characteristic
20	C₂×C₂₃×#107	C₄	1	1	yes	characteristic
21	C₂×C₂₃×#103	C₄	1	1	yes	characteristic
22	C₂×C₂₃×#102	C₄	1	1	yes	characteristic
23	C₂×C₂₃×#97	C₂²	1	1	yes	characteristic
24	C₂₃×Q₈⋊C₈	—	2	2	no	—
25	C₂₃×D₄⋊C₈	—	2	2	no	—
26	C₂₃×#323	—	2	2	no	—
27	C₂²×Q₈×C₂₃	C₂×C₄	1	1	yes	characteristic
28	C₂²×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
29	C₂³×C₄×C₂₃	—	2	1	no	—
30	C₂×SD₁₆×C₂₃	—	2	2	no	—
31	C₂×SD₁₆×C₂₃	—	2	2	no	—
32	C₂×SD₁₆×C₂₃	C₈	1	4	yes	complemented
33	C₂²×C₈×C₂₃	C₂×C₄	1	1	yes	characteristic
34	C₂²×C₈×C₂₃	C₂×C₄	1	1	yes	characteristic
35	C₄×Q₈×C₂₃	—	2	1	no	—
36	C₄×Q₈×C₂₃	—	2	1	no	—
37	C₄×Q₈×C₂₃	D₄	1	2	yes	—
38	C₄×Q₈×C₂₃	D₄	1	2	yes	—
39	C₄×D₄×C₂₃	—	2	1	no	—
40	C₄×D₄×C₂₃	—	2	1	no	—
41	C₄×D₄×C₂₃	—	2	1	no	—
42	C₄×D₄×C₂₃	—	2	1	no	—
43	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
44	C₂×C₄⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
47	C₂×C₄²×C₂₃	—	2	1	no	—
48	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
49	C₂₃×#107	—	2	2	no	—
50	C₂₃×C₄⋊C₈	—	2	4	no	—
51	C₂₃×C₄⋊C₈	—	2	1	no	—
52	C₂₃×C₄⋊C₈	—	2	1	no	—
53	C₂₃×C₄⋊C₈	—	2	1	no	—
54	C₂₃×C₄⋊C₈	—	2	1	no	—
55	C₂₃×#103	—	2	2	no	—
56	C₂₃×#102	—	2	2	no	—
57	C₂₃×C₂²⋊C₈	—	2	1	no	—
58	C₂₃×C₂²⋊C₈	—	2	1	no	—
59	C₂₃×C₂²⋊C₈	—	2	1	no	—
60	C₂₃×C₂²⋊C₈	D₄	1	2	yes	—
61	C₂₃×#97	—	2	1	no	—
62	C₂₃×#97	—	2	1	no	—
63	C₄×C₈×C₂₃	—	2	4	no	—
64	C₄×C₈×C₂₃	—	2	1	no	—
65	C₄×C₈×C₂₃	—	2	1	no	—
66	C₄×C₈×C₂₃	—	2	1	no	—
67	C₄×C₈×C₂₃	D₄	1	2	yes	—
68	C₂⁴×C₂₃	—	2	1	no	—
69	C₂×Q₈×C₂₃	—	2	1	no	—
70	C₂×Q₈×C₂₃	—	2	1	no	—
71	C₂×Q₈×C₂₃	—	2	1	no	—
72	C₂×Q₈×C₂₃	C₂²⋊C₄	1	2	yes	—
73	C₂×Q₈×C₂₃	C₂×C₈	1	2	yes	—
74	C₂×Q₈×C₂₃	M₁₆	1	2	yes	—
75	C₂×D₄×C₂₃	—	2	1	no	—
76	C₂×D₄×C₂₃	—	2	1	no	—
77	C₂×D₄×C₂₃	—	2	1	no	—
78	C₂×D₄×C₂₃	—	2	1	no	—
79	C₂×D₄×C₂₃	—	2	1	no	—
80	C₂×D₄×C₂₃	C₂×C₈	1	2	yes	—
81	C₂²×C₄×C₂₃	—	2	1	no	—
82	C₂²×C₄×C₂₃	—	2	1	no	—
83	C₂²×C₄×C₂₃	—	2	1	no	—
84	C₂²×C₄×C₂₃	—	4	1	no	—
85	C₂²×C₄×C₂₃	—	4	1	no	—
86	C₂²×C₄×C₂₃	—	8	2	no	—
87	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
88	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₂₃	#41	1	1	yes	characteristic
90	SD₁₆×C₂₃	—	2	8	no	—
91	C₂×C₈×C₂₃	—	2	1	no	—
92	C₂×C₈×C₂₃	—	2	1	no	—
93	C₂×C₈×C₂₃	—	2	1	no	—
94	C₂×C₈×C₂₃	—	2	2	no	—
95	C₂×C₈×C₂₃	—	2	2	no	—
96	C₂×C₈×C₂₃	—	2	1	no	—
97	C₂×C₈×C₂₃	—	2	1	no	—
98	C₂×C₈×C₂₃	—	4	1	no	—
99	C₂×C₈×C₂₃	—	4	1	no	—
100	C₂×C₈×C₂₃	C₂×C₈	1	2	yes	—
101	C₄⋊C₄×C₂₃	—	2	1	no	—
102	C₄⋊C₄×C₂₃	—	2	2	no	—
103	C₄⋊C₄×C₂₃	—	2	2	no	—
104	C₄⋊C₄×C₂₃	—	2	1	no	—
105	C₄⋊C₄×C₂₃	—	2	1	no	—
106	C₄⋊C₄×C₂₃	C₂²⋊C₄	1	2	yes	—
107	C₂²⋊C₄×C₂₃	—	4	1	no	—
108	C₂²⋊C₄×C₂₃	—	4	1	no	—
109	C₄²×C₂₃	—	2	2	no	—
110	C₄²×C₂₃	—	2	2	no	—
111	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
112	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
113	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₂₃	#41	1	1	yes	characteristic
115	#9090	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
116	C₂³×C₂₃	—	2	2	no	—
117	C₂³×C₂₃	—	4	1	no	—
118	C₂³×C₂₃	—	4	1	no	—
119	C₂³×C₂₃	—	8	1	no	—
120	C₂³×C₂₃	—	8	1	no	—
121	C₂³×C₂₃	C₄×D₄	1	1	yes	characteristic
122	Q₈×C₂₃	—	2	2	no	—
123	Q₈×C₂₃	—	2	2	no	—
124	Q₈×C₂₃	—	2	2	no	—
125	Q₈×C₂₃	C₂²⋊C₈	1	4	yes	—
126	D₄×C₂₃	—	2	2	no	—
127	D₄×C₂₃	—	2	2	no	—
128	D₄×C₂₃	—	4	1	no	—
129	D₄×C₂₃	—	4	1	no	—
130	C₂×C₄×C₂₃	—	2	2	no	—
131	C₂×C₄×C₂₃	—	2	2	no	—
132	C₂×C₄×C₂₃	—	2	2	no	—
133	C₂×C₄×C₂₃	—	2	2	no	—
134	C₂×C₄×C₂₃	—	4	1	no	—
135	C₂×C₄×C₂₃	—	4	1	no	—
136	C₂×C₄×C₂₃	—	4	1	no	—
137	C₂×C₄×C₂₃	—	8	2	no	—
138	C₂×C₄×C₂₃	—	8	2	no	—
139	C₂×C₄×C₂₃	—	8	1	no	—
140	C₂×C₄×C₂₃	—	8	1	no	—
141	C₂×C₄×C₂₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
142	C₂×C₄×C₂₃	C₄×D₄	1	1	yes	characteristic
143	C₂×C₄×C₂₃	#120	1	1	yes	characteristic
144	C₂×C₄×C₂₃	#121	1	1	yes	characteristic
145	C₂×C₄×C₂₃	#121	1	1	yes	characteristic
146	C₂×C₄×C₂₃	#123	1	1	yes	characteristic
147	C₂×C₄×C₂₃	C₂²×C₈	1	1	yes	characteristic
148	C₂×C₄×C₂₃	C₂×M₁₆	1	1	yes	characteristic
149	C₂×C₄×C₂₃	#131	1	1	yes	characteristic
150	C₂×C₄×C₂₃	#131	1	1	yes	characteristic
151	C₈×C₂₃	—	2	2	no	—
152	C₈×C₂₃	—	4	2	no	—
153	C₈×C₂₃	—	4	2	no	—
154	C₈×C₂₃	—	4	1	no	—
155	C₈×C₂₃	—	8	1	no	—
156	C₈×C₂₃	—	8	1	no	—
157	#2982	C₂×C₂₃	1	1	yes	characteristic, complemented
158	C₂×#440	C₂×C₂₃	1	1	yes	characteristic
159	#1479	C₂×C₂₃	1	1	yes	characteristic, complemented
160	#1478	C₂×C₂₃	1	1	yes	characteristic
161	#1460	C₂×C₂₃	1	1	yes	characteristic
162	#1281	C₂×C₂₃	1	1	yes	characteristic, complemented
163	#1275	C₂×C₂₃	1	1	yes	characteristic, complemented
164	C₂²×C₂₃	—	2	1	no	—
165	C₂²×C₂₃	—	2	1	no	—
166	C₂²×C₂₃	—	4	2	no	—
167	C₂²×C₂₃	—	8	2	no	—
168	C₂²×C₂₃	—	8	2	no	—
169	C₂²×C₂₃	—	8	1	no	—
170	C₂²×C₂₃	—	8	1	no	—
171	C₂²×C₂₃	#386	1	1	yes	characteristic
172	C₂²×C₂₃	C₈×D₄	1	1	yes	characteristic
173	C₂²×C₂₃	#435	1	1	yes	characteristic
174	C₄×C₂₃	—	2	4	no	—
175	C₄×C₂₃	—	2	1	no	—
176	C₄×C₂₃	—	2	1	no	—
177	C₄×C₂₃	—	2	1	no	—
178	C₄×C₂₃	—	2	1	no	—
179	C₄×C₂₃	—	4	2	no	—
180	C₄×C₂₃	—	8	1	no	—
181	C₄×C₂₃	C₂×C₂²⋊C₈	1	1	yes	characteristic
182	C₄×C₂₃	#408	1	1	yes	characteristic
183	C₄×C₂₃	C₈×D₄	1	1	yes	characteristic
184	C₄×C₂₃	#435	1	1	yes	characteristic
185	C₂²×SD₁₆	C₄×C₂₃	1	1	yes	characteristic
186	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
187	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
188	C₈×Q₈	—	2	2	no	—
189	C₈×Q₈	—	2	2	no	—
190	#440	—	2	2	no	—
191	#440	—	2	2	no	—
192	#431	—	2	2	no	—
193	#431	C₂²×C₂₃	1	1	yes	characteristic
194	#431	C₂²×C₂₃	1	1	yes	characteristic
195	#431	C₂²×C₂₃	1	1	yes	characteristic
196	#431	C₂²×C₂₃	1	1	yes	characteristic
197	C₂×#107	C₄×C₂₃	1	1	yes	characteristic
198	C₂×#103	C₄×C₂₃	1	1	yes	characteristic
199	C₂×#102	C₄×C₂₃	1	1	yes	characteristic
200	C₂×#97	C₂²×C₂₃	1	1	yes	characteristic
201	Q₈⋊C₈	—	2	2	no	—
202	D₄⋊C₈	—	2	2	no	—
203	#323	—	2	2	no	—
204	C₂×C₂₃	—	2	1	no	—
205	C₂×C₂₃	—	2	1	no	—
206	C₂×C₂₃	—	8	2	no	—
207	C₂×C₂₃	#1869	1	1	yes	characteristic
208	C₂×C₂₃	#1903	1	1	yes	characteristic
209	C₂×C₂₃	#1905	1	1	yes	characteristic
210	C₂²×Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
211	C₂²×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
212	C₂³×C₄	—	2	1	no	—
213	C₂×SD₁₆	—	2	2	no	—
214	C₂×SD₁₆	—	2	2	no	—
215	C₂×SD₁₆	C₈×C₂₃	1	4	yes	complemented
216	C₂²×C₈	C₂×C₄×C₂₃	1	1	yes	characteristic
217	C₂²×C₈	C₂×C₄×C₂₃	1	1	yes	characteristic
218	C₄×Q₈	—	2	1	no	—
219	C₄×Q₈	—	2	1	no	—
220	C₄×Q₈	D₄×C₂₃	1	2	yes	—
221	C₄×Q₈	D₄×C₂₃	1	2	yes	—
222	C₄×D₄	—	2	1	no	—
223	C₄×D₄	—	2	1	no	—
224	C₄×D₄	—	2	1	no	—
225	C₄×D₄	—	2	1	no	—
226	C₂×C₄⋊C₄	—	2	1	no	—
227	C₂×C₄⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
228	C₂×C₄⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
229	C₂×C₂²⋊C₄	—	2	1	no	—
230	C₂×C₄²	—	2	1	no	—
231	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
232	#107	—	2	2	no	—
233	C₄⋊C₈	—	2	4	no	—
234	C₄⋊C₈	—	2	1	no	—
235	C₄⋊C₈	—	2	1	no	—
236	C₄⋊C₈	—	2	1	no	—
237	C₄⋊C₈	—	2	1	no	—
238	#103	—	2	2	no	—
239	#102	—	2	2	no	—
240	C₂²⋊C₈	—	2	1	no	—
241	C₂²⋊C₈	—	2	1	no	—
242	C₂²⋊C₈	—	2	1	no	—
243	C₂²⋊C₈	D₄×C₂₃	1	2	yes	—
244	#97	—	2	1	no	—
245	#97	—	2	1	no	—
246	C₄×C₈	—	2	4	no	—
247	C₄×C₈	—	2	1	no	—
248	C₄×C₈	—	2	1	no	—
249	C₄×C₈	—	2	1	no	—
250	C₄×C₈	D₄×C₂₃	1	2	yes	—
251	C₂₃	#9090	1	1	yes	characteristic, direct product factor, Sylow
252	C₂⁴	—	2	1	no	—
253	C₂×Q₈	—	2	1	no	—
254	C₂×Q₈	—	2	1	no	—
255	C₂×Q₈	—	2	1	no	—
256	C₂×Q₈	C₂²⋊C₄×C₂₃	1	2	yes	—
257	C₂×Q₈	C₂×C₈×C₂₃	1	2	yes	—
258	C₂×Q₈	M₁₆×C₂₃	1	2	yes	—
259	C₂×D₄	—	2	1	no	—
260	C₂×D₄	—	2	1	no	—
261	C₂×D₄	—	2	1	no	—
262	C₂×D₄	—	2	1	no	—
263	C₂×D₄	—	2	1	no	—
264	C₂×D₄	C₂×C₈×C₂₃	1	2	yes	—
265	C₂²×C₄	—	2	1	no	—
266	C₂²×C₄	—	2	1	no	—
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	4	1	no	—
269	C₂²×C₄	—	4	1	no	—
270	C₂²×C₄	—	8	2	no	—
271	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
272	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
273	C₂²×C₄	#41×C₂₃	1	1	yes	characteristic
274	SD₁₆	—	2	8	no	—
275	C₂×C₈	—	2	1	no	—
276	C₂×C₈	—	2	1	no	—
277	C₂×C₈	—	2	1	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	1	no	—
281	C₂×C₈	—	2	1	no	—
282	C₂×C₈	—	4	1	no	—
283	C₂×C₈	—	4	1	no	—
284	C₂×C₈	C₂×C₈×C₂₃	1	2	yes	—
285	C₄⋊C₄	—	2	1	no	—
286	C₄⋊C₄	—	2	2	no	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	—	2	1	no	—
289	C₄⋊C₄	—	2	1	no	—
290	C₄⋊C₄	C₂²⋊C₄×C₂₃	1	2	yes	—
291	C₂²⋊C₄	—	4	1	no	—
292	C₂²⋊C₄	—	4	1	no	—
293	C₄²	—	2	2	no	—
294	C₄²	—	2	2	no	—
295	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
296	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
297	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
298	C₄²	#41×C₂₃	1	1	yes	characteristic
299	C₂³	—	2	2	no	—
300	C₂³	—	4	1	no	—
301	C₂³	—	4	1	no	—
302	C₂³	—	8	1	no	—
303	C₂³	—	8	1	no	—
304	C₂³	C₄×D₄×C₂₃	1	1	yes	characteristic
305	Q₈	—	2	2	no	—
306	Q₈	—	2	2	no	—
307	Q₈	—	2	2	no	—
308	Q₈	C₂₃×C₂²⋊C₈	1	4	yes	—
309	D₄	—	2	2	no	—
310	D₄	—	2	2	no	—
311	D₄	—	4	1	no	—
312	D₄	—	4	1	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	4	1	no	—
318	C₂×C₄	—	4	1	no	—
319	C₂×C₄	—	4	1	no	—
320	C₂×C₄	—	8	2	no	—
321	C₂×C₄	—	8	2	no	—
322	C₂×C₄	—	8	1	no	—
323	C₂×C₄	—	8	1	no	—
324	C₂×C₄	C₂×C₂²⋊C₄×C₂₃	1	1	yes	characteristic
325	C₂×C₄	C₄×D₄×C₂₃	1	1	yes	characteristic
326	C₂×C₄	C₂₃×#120	1	1	yes	characteristic
327	C₂×C₄	C₂₃×#121	1	1	yes	characteristic
328	C₂×C₄	C₂₃×#121	1	1	yes	characteristic
329	C₂×C₄	C₂₃×#123	1	1	yes	characteristic
330	C₂×C₄	C₂²×C₈×C₂₃	1	1	yes	characteristic
331	C₂×C₄	C₂×M₁₆×C₂₃	1	1	yes	characteristic
332	C₂×C₄	C₂₃×#131	1	1	yes	characteristic
333	C₂×C₄	C₂₃×#131	1	1	yes	characteristic
334	C₈	—	2	2	no	—
335	C₈	—	4	2	no	—
336	C₈	—	4	2	no	—
337	C₈	—	4	1	no	—
338	C₈	—	8	1	no	—
339	C₈	—	8	1	no	—
340	C₂²	—	2	1	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	4	2	no	—
343	C₂²	—	8	2	no	—
344	C₂²	—	8	2	no	—
345	C₂²	—	8	1	no	—
346	C₂²	—	8	1	no	—
347	C₂²	C₂₃×#386	1	1	yes	characteristic
348	C₂²	C₈×D₄×C₂₃	1	1	yes	characteristic
349	C₂²	C₂₃×#435	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	2	1	no	—
354	C₄	—	2	4	no	—
355	C₄	—	4	2	no	—
356	C₄	—	8	1	no	—
357	C₄	C₂×C₂₃×C₂²⋊C₈	1	1	yes	characteristic
358	C₄	C₂₃×#408	1	1	yes	characteristic
359	C₄	C₈×D₄×C₂₃	1	1	yes	characteristic
360	C₄	C₂₃×#435	1	1	yes	characteristic
361	C₂	—	2	1	no	—
362	C₂	—	2	1	no	—
363	C₂	—	8	2	no	—
364	C₂	C₂₃×#1869	1	1	yes	characteristic
365	C₂	C₂₃×#1903	1	1	yes	characteristic
366	C₂	C₂₃×#1905	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₃	#386
commutator	C₂×C₄	C₂²×C₈×C₂₃
Frattini, cosocle	C₂×C₄²	C₂³×C₂₃
prime radical	C₂²×D₄×C₂₃	C₂×C₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃ ◁ C₂×C₄²×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#2982	C₂	semidirect
3. C₂₃×#1479	C₂	semidirect
6. C₂₃×#1281	C₂	semidirect
7. C₂₃×#1275	C₂	semidirect
32. C₂×SD₁₆×C₂₃	C₈	semidirect
115. #9090	C₂₃	direct (N × H)
157. #2982	C₂×C₂₃	semidirect
159. #1479	C₂×C₂₃	semidirect
162. #1281	C₂×C₂₃	semidirect
163. #1275	C₂×C₂₃	semidirect
215. C₂×SD₁₆	C₈×C₂₃	semidirect
251. C₂₃	#9090	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×#2982	2
C₂×C₂₃×#440	2
C₂₃×#1479	2
C₂₃×#1478	2
C₂₃×#1460	2
C₂₃×#1281	2
C₂₃×#1275	2
#9090	23

Subgroups — C23×#9090 #19156716

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#9090 #19156716