Subgroups — C₂₃×#3343 #15670962

Order 2944.

376 conjugacy classes of subgroups.

The subgroup lattice has 342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#547	C₂	1	1	yes	maximal, characteristic
3	C₂₃×#501	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#484	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#483	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#480	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#477	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#428	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₂₃×#107	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×C₂₃	—	2	1	no	—
17	C₂×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
18	C₂×M₁₆×C₂₃	C₂²	1	1	yes	characteristic
19	C₂²×C₈×C₂₃	C₂²	1	1	yes	characteristic
20	C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
21	C₂₃×#126	—	2	1	no	—
22	C₂₃×#125	—	2	1	no	—
23	C₂₃×#125	C₂²	1	1	yes	characteristic
24	C₂₃×#123	—	2	1	no	—
25	C₂₃×#123	—	2	1	no	—
26	C₂₃×#123	—	2	1	no	—
27	C₂₃×C₂²⋊Q₈	—	2	1	no	—
28	C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂₃×#121	C₂²	1	1	yes	characteristic
31	C₂₃×#121	C₂²	1	1	yes	characteristic
32	C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
33	C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
34	C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
35	C₂₃×#117	—	2	1	no	—
36	C₂₃×#117	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
40	C₂₃×#107	C₂²	1	1	yes	characteristic
41	C₂₃×#107	C₂²	1	1	yes	characteristic
42	C₂₃×#107	C₂²	1	1	yes	characteristic
43	C₂₃×#107	C₂²	1	1	yes	characteristic
44	C₂₃×#107	C₂²	1	1	yes	characteristic
45	C₂₃×#107	C₂²	1	1	yes	characteristic
46	C₂₃×#106	C₂²	1	1	yes	characteristic
47	C₂₃×#106	C₂²	1	1	yes	characteristic
48	C₂₃×#106	C₂²	1	1	yes	characteristic
49	C₂₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
50	C₂₃×#103	C₂²	1	1	yes	characteristic
51	C₂₃×#103	C₂²	1	1	yes	characteristic
52	C₂₃×#103	C₂²	1	1	yes	characteristic
53	C₂₃×#102	C₂²	1	1	yes	characteristic
54	C₂₃×#102	C₂²	1	1	yes	characteristic
55	C₂₃×#102	C₂²	1	1	yes	characteristic
56	C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
57	C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
58	C₂₃×#97	C₂²	1	1	yes	characteristic
59	#41×C₂₃	—	4	4	no	—
60	C₂×Q₈×C₂₃	—	2	1	no	—
61	C₂×Q₈×C₂₃	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₂₃	—	2	1	no	—
63	C₂×D₄×C₂₃	—	2	1	no	—
64	C₂×D₄×C₂₃	D₄	1	1	yes	characteristic
65	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
66	C₂²×C₄×C₂₃	—	2	1	no	—
67	C₂²×C₄×C₂₃	—	2	1	no	—
68	C₂²×C₄×C₂₃	—	2	1	no	—
69	C₂²×C₄×C₂₃	—	2	1	no	—
70	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
71	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
72	SD₁₆×C₂₃	—	2	2	no	—
73	M₁₆×C₂₃	—	2	2	no	—
74	C₂×C₈×C₂₃	—	2	2	no	—
75	C₂×C₈×C₂₃	C₂³	1	1	yes	characteristic
76	C₂×C₈×C₂₃	C₂³	1	1	yes	characteristic
77	C₂×C₈×C₂₃	C₂³	1	1	yes	characteristic
78	C₂×C₈×C₂₃	C₂³	1	1	yes	characteristic
79	C₄⋊C₄×C₂₃	—	2	1	no	—
80	C₄⋊C₄×C₂₃	—	2	1	no	—
81	C₄⋊C₄×C₂₃	—	2	1	no	—
82	C₄⋊C₄×C₂₃	—	2	1	no	—
83	C₄⋊C₄×C₂₃	—	2	1	no	—
84	C₄⋊C₄×C₂₃	—	2	1	no	—
85	C₄⋊C₄×C₂₃	—	2	1	no	—
86	C₄⋊C₄×C₂₃	—	2	1	no	—
87	C₄⋊C₄×C₂₃	—	2	1	no	—
88	C₄⋊C₄×C₂₃	D₄	1	1	yes	characteristic
89	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
90	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
91	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
92	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
93	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
94	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
95	C₂²⋊C₄×C₂₃	—	2	1	no	—
96	C₂²⋊C₄×C₂₃	—	2	1	no	—
97	C₂²⋊C₄×C₂₃	—	2	1	no	—
98	C₂²⋊C₄×C₂₃	—	2	1	no	—
99	C₂²⋊C₄×C₂₃	—	2	1	no	—
100	C₂²⋊C₄×C₂₃	—	2	1	no	—
101	C₂²⋊C₄×C₂₃	D₄	1	1	yes	characteristic
102	C₂²⋊C₄×C₂₃	D₄	1	1	yes	characteristic
103	C₄²×C₂₃	—	2	1	no	—
104	C₄²×C₂₃	—	2	1	no	—
105	C₄²×C₂₃	C₂³	1	1	yes	characteristic
106	C₂³×C₂₃	—	2	1	no	—
107	C₂³×C₂₃	C₂×D₄	1	1	yes	characteristic
108	C₂³×C₂₃	C₂×D₄	1	1	yes	characteristic
109	Q₈×C₂₃	—	2	1	no	—
110	Q₈×C₂₃	—	2	1	no	—
111	Q₈×C₂₃	—	4	2	no	—
112	D₄×C₂₃	—	2	2	no	—
113	D₄×C₂₃	—	2	1	no	—
114	D₄×C₂₃	—	2	1	no	—
115	D₄×C₂₃	—	4	2	no	—
116	D₄×C₂₃	—	4	2	no	—
117	C₂×C₄×C₂₃	—	2	1	no	—
118	C₂×C₄×C₂₃	—	2	1	no	—
119	C₂×C₄×C₂₃	—	2	1	no	—
120	C₂×C₄×C₂₃	—	2	1	no	—
121	C₂×C₄×C₂₃	—	2	1	no	—
122	C₂×C₄×C₂₃	—	2	1	no	—
123	C₂×C₄×C₂₃	—	2	1	no	—
124	C₂×C₄×C₂₃	—	2	1	no	—
125	C₂×C₄×C₂₃	—	2	1	no	—
126	C₂×C₄×C₂₃	—	2	1	no	—
127	C₂×C₄×C₂₃	—	2	1	no	—
128	C₂×C₄×C₂₃	—	4	2	no	—
129	C₂×C₄×C₂₃	—	4	2	no	—
130	C₂×C₄×C₂₃	—	4	2	no	—
131	C₂×C₄×C₂₃	—	4	2	no	—
132	C₂×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
133	C₂×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
134	C₂×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
135	C₂×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
136	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
137	C₈×C₂₃	—	2	1	no	—
138	C₈×C₂₃	—	2	1	no	—
139	C₈×C₂₃	—	2	1	no	—
140	C₈×C₂₃	#41	1	2	yes	complemented
141	#3343	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
142	C₂²×C₂₃	—	2	1	no	—
143	C₂²×C₂₃	—	2	1	no	—
144	C₂²×C₂₃	—	2	1	no	—
145	C₂²×C₂₃	—	2	1	no	—
146	C₂²×C₂₃	—	2	1	no	—
147	C₂²×C₂₃	—	4	1	no	—
148	C₂²×C₂₃	—	4	1	no	—
149	C₂²×C₂₃	—	4	1	no	—
150	C₂²×C₂₃	AGL(1,ℤ/8)	1	2	yes	—
151	C₂²×C₂₃	C₂²×D₄	1	1	yes	characteristic
152	C₄×C₂₃	—	2	1	no	—
153	C₄×C₂₃	—	2	1	no	—
154	C₄×C₂₃	—	2	1	no	—
155	C₄×C₂₃	—	2	1	no	—
156	C₄×C₂₃	—	4	1	no	—
157	C₄×C₂₃	—	4	1	no	—
158	C₄×C₂₃	—	4	1	no	—
159	C₄×C₂₃	—	4	1	no	—
160	C₄×C₂₃	—	4	1	no	—
161	C₄×C₂₃	—	4	1	no	—
162	C₄×C₂₃	—	4	1	no	—
163	C₄×C₂₃	C₂×#41	1	1	yes	characteristic
164	C₄×C₂₃	2₋¹⁺⁴	1	1	yes	characteristic
165	#552	C₂×C₂₃	1	1	yes	characteristic, complemented
166	#547	C₂×C₂₃	1	1	yes	characteristic
167	#501	C₂×C₂₃	1	1	yes	characteristic, complemented
168	#484	C₂×C₂₃	1	1	yes	characteristic, complemented
169	#483	C₂×C₂₃	1	1	yes	characteristic, complemented
170	#482	C₂×C₂₃	1	1	yes	characteristic, complemented
171	#480	C₂×C₂₃	1	1	yes	characteristic, complemented
172	#478	C₂×C₂₃	1	1	yes	characteristic, complemented
173	#477	C₂×C₂₃	1	1	yes	characteristic, complemented
174	#468	C₂×C₂₃	1	1	yes	characteristic, complemented
175	#465	C₂×C₂₃	1	1	yes	characteristic, complemented
176	#440	C₂×C₂₃	1	1	yes	characteristic, complemented
177	#435	C₂×C₂₃	1	1	yes	characteristic, complemented
178	#428	C₂×C₂₃	1	1	yes	characteristic, complemented
179	C₂×#107	C₂×C₂₃	1	1	yes	characteristic, complemented
180	C₂×C₂₃	—	2	2	no	—
181	C₂×C₂₃	—	4	1	no	—
182	C₂×C₂₃	—	8	1	no	—
183	C₂×C₂₃	#547	1	1	yes	characteristic
184	C₂×C₂₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
185	C₂×C₂₃	#578	1	1	yes	characteristic
186	C₂×#41	—	2	1	no	—
187	C₂×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
188	C₂×M₁₆	C₂²×C₂₃	1	1	yes	characteristic
189	C₂²×C₈	C₂²×C₂₃	1	1	yes	characteristic
190	C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
191	#126	—	2	1	no	—
192	#125	—	2	1	no	—
193	#125	C₂²×C₂₃	1	1	yes	characteristic
194	#123	—	2	1	no	—
195	#123	—	2	1	no	—
196	#123	—	2	1	no	—
197	C₂²⋊Q₈	—	2	1	no	—
198	C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
199	C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
200	#121	C₂²×C₂₃	1	1	yes	characteristic
201	#121	C₂²×C₂₃	1	1	yes	characteristic
202	C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
203	C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
204	C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
205	#117	—	2	1	no	—
206	#117	C₂²×C₂₃	1	1	yes	characteristic
207	C₂×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
208	C₂×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
209	C₂×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
210	#107	C₂²×C₂₃	1	1	yes	characteristic
211	#107	C₂²×C₂₃	1	1	yes	characteristic
212	#107	C₂²×C₂₃	1	1	yes	characteristic
213	#107	C₂²×C₂₃	1	1	yes	characteristic
214	#107	C₂²×C₂₃	1	1	yes	characteristic
215	#107	C₂²×C₂₃	1	1	yes	characteristic
216	#106	C₂²×C₂₃	1	1	yes	characteristic
217	#106	C₂²×C₂₃	1	1	yes	characteristic
218	#106	C₂²×C₂₃	1	1	yes	characteristic
219	C₄⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
220	#103	C₂²×C₂₃	1	1	yes	characteristic
221	#103	C₂²×C₂₃	1	1	yes	characteristic
222	#103	C₂²×C₂₃	1	1	yes	characteristic
223	#102	C₂²×C₂₃	1	1	yes	characteristic
224	#102	C₂²×C₂₃	1	1	yes	characteristic
225	#102	C₂²×C₂₃	1	1	yes	characteristic
226	C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
227	C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
228	#97	C₂²×C₂₃	1	1	yes	characteristic
229	C₂₃	#3343	1	1	yes	characteristic, direct product factor, Sylow
230	#41	—	4	4	no	—
231	C₂×Q₈	—	2	1	no	—
232	C₂×Q₈	C₂³×C₂₃	1	1	yes	characteristic
233	C₂×D₄	—	2	1	no	—
234	C₂×D₄	—	2	1	no	—
235	C₂×D₄	D₄×C₂₃	1	1	yes	characteristic
236	C₂×D₄	C₂³×C₂₃	1	1	yes	characteristic
237	C₂²×C₄	—	2	1	no	—
238	C₂²×C₄	—	2	1	no	—
239	C₂²×C₄	—	2	1	no	—
240	C₂²×C₄	—	2	1	no	—
241	C₂²×C₄	C₂³×C₂₃	1	1	yes	characteristic
242	C₂²×C₄	C₂³×C₂₃	1	1	yes	characteristic
243	SD₁₆	—	2	2	no	—
244	M₁₆	—	2	2	no	—
245	C₂×C₈	—	2	2	no	—
246	C₂×C₈	C₂³×C₂₃	1	1	yes	characteristic
247	C₂×C₈	C₂³×C₂₃	1	1	yes	characteristic
248	C₂×C₈	C₂³×C₂₃	1	1	yes	characteristic
249	C₂×C₈	C₂³×C₂₃	1	1	yes	characteristic
250	C₄⋊C₄	—	2	1	no	—
251	C₄⋊C₄	—	2	1	no	—
252	C₄⋊C₄	—	2	1	no	—
253	C₄⋊C₄	—	2	1	no	—
254	C₄⋊C₄	—	2	1	no	—
255	C₄⋊C₄	—	2	1	no	—
256	C₄⋊C₄	—	2	1	no	—
257	C₄⋊C₄	—	2	1	no	—
258	C₄⋊C₄	—	2	1	no	—
259	C₄⋊C₄	D₄×C₂₃	1	1	yes	characteristic
260	C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
261	C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
262	C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
263	C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
264	C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
265	C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
266	C₂²⋊C₄	—	2	1	no	—
267	C₂²⋊C₄	—	2	1	no	—
268	C₂²⋊C₄	—	2	1	no	—
269	C₂²⋊C₄	—	2	1	no	—
270	C₂²⋊C₄	—	2	1	no	—
271	C₂²⋊C₄	—	2	1	no	—
272	C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
273	C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
274	C₄²	—	2	1	no	—
275	C₄²	—	2	1	no	—
276	C₄²	C₂³×C₂₃	1	1	yes	characteristic
277	C₂³	—	2	1	no	—
278	C₂³	C₂×D₄×C₂₃	1	1	yes	characteristic
279	C₂³	C₂×D₄×C₂₃	1	1	yes	characteristic
280	Q₈	—	2	1	no	—
281	Q₈	—	2	1	no	—
282	Q₈	—	4	2	no	—
283	D₄	—	2	2	no	—
284	D₄	—	2	1	no	—
285	D₄	—	2	1	no	—
286	D₄	—	4	2	no	—
287	D₄	—	4	2	no	—
288	C₂×C₄	—	2	1	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	2	no	—
301	C₂×C₄	—	4	2	no	—
302	C₂×C₄	—	4	2	no	—
303	C₂×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
304	C₂×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
305	C₂×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
306	C₂×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
307	C₂×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
308	C₈	—	2	1	no	—
309	C₈	—	2	1	no	—
310	C₈	—	2	1	no	—
311	C₈	#41×C₂₃	1	2	yes	complemented
312	C₂²	—	2	1	no	—
313	C₂²	—	2	1	no	—
314	C₂²	—	2	1	no	—
315	C₂²	—	2	1	no	—
316	C₂²	—	2	1	no	—
317	C₂²	—	4	1	no	—
318	C₂²	—	4	1	no	—
319	C₂²	—	4	1	no	—
320	C₂²	C₂₃×AGL(1,ℤ/8)	1	2	yes	—
321	C₂²	C₂²×D₄×C₂₃	1	1	yes	characteristic
322	C₄	—	2	1	no	—
323	C₄	—	2	1	no	—
324	C₄	—	2	1	no	—
325	C₄	—	2	1	no	—
326	C₄	—	4	1	no	—
327	C₄	—	4	1	no	—
328	C₄	—	4	1	no	—
329	C₄	—	4	1	no	—
330	C₄	—	4	1	no	—
331	C₄	—	4	1	no	—
332	C₄	—	4	1	no	—
333	C₄	C₂×#41×C₂₃	1	1	yes	characteristic
334	C₄	C₂₃×2₋¹⁺⁴	1	1	yes	characteristic
335	C₂	—	2	2	no	—
336	C₂	—	4	1	no	—
337	C₂	—	8	1	no	—
338	C₂	C₂₃×#547	1	1	yes	characteristic
339	C₂	C₂×C₂₃×AGL(1,ℤ/8)	1	1	yes	characteristic
340	C₂	C₂₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₂₃
prime radical	C₂₃×#547	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃ ◁ C₄×D₄×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#552	C₂	semidirect
3. C₂₃×#501	C₂	semidirect
4. C₂₃×#484	C₂	semidirect
5. C₂₃×#483	C₂	semidirect
6. C₂₃×#482	C₂	semidirect
7. C₂₃×#480	C₂	semidirect
8. C₂₃×#478	C₂	semidirect
9. C₂₃×#477	C₂	semidirect
10. C₂₃×#468	C₂	semidirect
11. C₂₃×#465	C₂	semidirect
12. C₂₃×#440	C₂	semidirect
13. C₂₃×#435	C₂	semidirect
14. C₂₃×#428	C₂	semidirect
15. C₂×C₂₃×#107	C₂	semidirect
140. C₈×C₂₃	#41	semidirect
141. #3343	C₂₃	direct (N × H)
165. #552	C₂×C₂₃	semidirect
167. #501	C₂×C₂₃	semidirect
168. #484	C₂×C₂₃	semidirect
169. #483	C₂×C₂₃	semidirect
170. #482	C₂×C₂₃	semidirect
171. #480	C₂×C₂₃	semidirect
172. #478	C₂×C₂₃	semidirect
173. #477	C₂×C₂₃	semidirect
174. #468	C₂×C₂₃	semidirect
175. #465	C₂×C₂₃	semidirect
176. #440	C₂×C₂₃	semidirect
177. #435	C₂×C₂₃	semidirect
178. #428	C₂×C₂₃	semidirect
179. C₂×#107	C₂×C₂₃	semidirect
229. C₂₃	#3343	direct (N × H)
311. C₈	#41×C₂₃	semidirect

Maximal subgroups

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

subgroup	index
C₂₃×#552	2
C₂₃×#547	2
C₂₃×#501	2
C₂₃×#484	2
C₂₃×#483	2
C₂₃×#482	2
C₂₃×#480	2
C₂₃×#478	2
C₂₃×#477	2
C₂₃×#468	2
C₂₃×#465	2
C₂₃×#440	2
C₂₃×#435	2
C₂₃×#428	2
C₂×C₂₃×#107	2
#3343	23

Subgroups — C23×#3343 #15670962

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#3343 #15670962