Subgroups — C₂₃×#61013 #19208639

Order 5888.

1656 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3509	C₂	1	2	yes	maximal
2	C₂₃×#3261	C₂	1	4	yes	maximal, complemented
3	C₂₃×#3231	C₂	1	4	yes	maximal, complemented
4	C₂₃×#3209	C₂	1	4	yes	maximal, complemented
5	C₂₃×#3202	C₂	1	4	yes	maximal
6	C₂₃×#3185	C₂	1	2	yes	maximal, complemented
7	C₂₃×#3170	C₂	1	2	yes	maximal, complemented
8	C₂₃×#3127	C₂	1	8	yes	maximal, complemented
9	C₂₃×#2922	C₂	1	1	yes	maximal, characteristic
10	C₂₃×#557	—	2	4	no	—
11	C₂₃×#556	—	2	4	no	—
12	C₂₃×#552	—	2	4	no	—
13	C₂₃×#552	—	2	4	no	—
14	C₂₃×#541	C₂²	1	4	yes	—
15	C₂₃×#541	C₂²	1	4	yes	—
16	C₂₃×#536	C₂²	1	4	yes	—
17	C₂₃×#533	C₂²	1	4	yes	—
18	C₂₃×#533	C₂²	1	4	yes	—
19	C₂₃×#533	C₂²	1	2	yes	—
20	C₂×C₂₃×C₄⋊Q₈	C₂²	1	2	yes	—
21	C₂₃×#519	C₂²	1	4	yes	—
22	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
23	C₂₃×#500	C₂²	1	2	yes	—
24	C₂₃×#498	C₂²	1	2	yes	—
25	C₂₃×#494	C₂²	1	2	yes	—
26	C₂₃×#494	C₂²	1	2	yes	—
27	C₂₃×#487	C₂²	1	4	yes	—
28	C₂₃×#487	C₂²	1	4	yes	—
29	C₂₃×#485	C₂²	1	16	yes	—
30	C₂₃×#479	C₂²	1	16	yes	—
31	C₂₃×#470	C₂²	1	8	yes	—
32	C₂₃×#467	C₂²	1	8	yes	—
33	C₂₃×#462	C₂²	1	16	yes	—
34	C₂₃×#451	C₂²	1	16	yes	—
35	C₂₃×#441	C₂²	1	8	yes	—
36	C₄×Q₁₆×C₂₃	C₂²	1	8	yes	—
37	C₂₃×#433	C₂²	1	4	yes	—
38	C₂₃×#431	C₂²	1	4	yes	—
39	C₂₃×#424	C₂²	1	2	yes	—
40	C₂₃×#408	C₂²	1	2	yes	—
41	C₄×M₁₆×C₂₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₈×C₂₃	C₂²	1	1	yes	characteristic
43	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
44	C₂²×Q₈×C₂₃	C₂³	1	4	yes	—
45	C₂×Q₁₆×C₂₃	C₂³	1	8	yes	—
46	C₂×Q₁₆×C₂₃	C₂³	1	8	yes	—
47	C₂×M₁₆×C₂₃	C₂³	1	2	yes	—
48	C₂²×C₈×C₂₃	C₂³	1	2	yes	—
49	C₂₃×C₄⋊Q₈	—	2	4	no	—
50	C₂₃×C₄⋊Q₈	—	2	4	no	—
51	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
52	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
53	C₂₃×C₄⋊Q₈	C₂³	1	4	yes	—
54	C₂₃×#126	—	2	8	no	—
55	C₂₃×#126	—	2	8	no	—
56	C₂₃×#125	—	2	8	no	—
57	C₂₃×#125	—	2	8	no	—
58	C₂₃×#125	—	2	4	no	—
59	C₂₃×#125	—	2	4	no	—
60	C₂₃×#125	C₂³	1	4	yes	—
61	C₂₃×#124	—	2	4	no	—
62	C₂₃×#123	—	2	4	no	—
63	C₂₃×#123	—	2	4	no	—
64	C₂₃×C₂²⋊Q₈	—	2	4	no	—
65	C₂₃×C₂²⋊Q₈	—	2	4	no	—
66	C₂₃×C₂²⋊Q₈	—	2	4	no	—
67	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
68	C₂₃×C₂²⋊Q₈	C₂³	1	8	yes	—
69	C₄×Q₈×C₂₃	—	2	8	no	—
70	C₄×Q₈×C₂₃	—	2	4	no	—
71	C₄×Q₈×C₂₃	—	2	4	no	—
72	C₄×Q₈×C₂₃	—	2	4	no	—
73	C₄×Q₈×C₂₃	D₄	1	2	yes	—
74	C₄×Q₈×C₂₃	C₂³	1	8	yes	—
75	C₄×Q₈×C₂₃	C₂³	1	8	yes	—
76	C₄×D₄×C₂₃	D₄	1	2	yes	—
77	C₄×D₄×C₂₃	D₄	1	4	yes	—
78	C₂₃×#117	—	2	4	no	—
79	C₂₃×#117	—	2	4	no	—
80	C₂₃×#117	—	2	8	no	—
81	C₂₃×#117	C₂³	1	4	yes	—
82	C₂₃×#117	C₂³	1	1	yes	characteristic
83	C₂₃×#117	C₂³	1	2	yes	—
84	C₂×C₄⋊C₄×C₂₃	—	2	4	no	—
85	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
86	C₂×C₄²×C₂₃	C₂³	1	2	yes	—
87	C₂₃×#107	C₂³	1	8	yes	—
88	C₂₃×#106	C₂³	1	8	yes	—
89	C₂₃×C₄⋊C₈	C₂³	1	8	yes	—
90	C₂₃×#103	C₂³	1	16	yes	—
91	C₂₃×#103	C₂³	1	16	yes	—
92	C₂₃×C₂²⋊C₈	C₂³	1	8	yes	—
93	C₂₃×#97	C₂³	1	2	yes	—
94	C₄×C₈×C₂₃	C₂³	1	2	yes	—
95	C₄×C₈×C₂₃	C₂³	1	2	yes	—
96	C₄×C₈×C₂₃	C₂³	1	2	yes	—
97	#41×C₂₃	—	4	2	no	—
98	C₂×Q₈×C₂₃	—	2	4	no	—
99	C₂×Q₈×C₂₃	—	2	4	no	—
100	C₂×Q₈×C₂₃	—	4	8	no	—
101	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
102	C₂×Q₈×C₂₃	C₂⁴	1	8	yes	—
103	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
104	C₂×D₄×C₂₃	C₂×D₄	1	2	yes	—
105	C₂²×C₄×C₂₃	—	2	4	no	—
106	C₂²×C₄×C₂₃	C₂×D₄	1	4	yes	—
107	C₂²×C₄×C₂₃	C₂×D₄	1	2	yes	—
108	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
109	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
110	Q₁₆×C₂₃	—	4	8	no	—
111	Q₁₆×C₂₃	—	4	8	no	—
112	M₁₆×C₂₃	—	4	2	no	—
113	C₂×C₈×C₂₃	—	4	2	no	—
114	C₂×C₈×C₂₃	C₂⁴	1	4	yes	—
115	C₂×C₈×C₂₃	C₂⁴	1	4	yes	—
116	C₄⋊C₄×C₂₃	—	2	4	no	—
117	C₄⋊C₄×C₂₃	—	2	4	no	—
118	C₄⋊C₄×C₂₃	—	2	8	no	—
119	C₄⋊C₄×C₂₃	—	2	4	no	—
120	C₄⋊C₄×C₂₃	—	2	8	no	—
121	C₄⋊C₄×C₂₃	—	2	8	no	—
122	C₄⋊C₄×C₂₃	—	2	8	no	—
123	C₄⋊C₄×C₂₃	—	2	8	no	—
124	C₄⋊C₄×C₂₃	—	2	8	no	—
125	C₄⋊C₄×C₂₃	C₂×D₄	1	4	yes	—
126	C₄⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
127	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
128	C₂²⋊C₄×C₂₃	—	2	4	no	—
129	C₂²⋊C₄×C₂₃	—	2	8	no	—
130	C₂²⋊C₄×C₂₃	—	2	8	no	—
131	C₂²⋊C₄×C₂₃	C₂×D₄	1	4	yes	—
132	C₂²⋊C₄×C₂₃	C₂×D₄	1	2	yes	—
133	C₄²×C₂₃	—	2	8	no	—
134	C₄²×C₂₃	—	2	8	no	—
135	C₄²×C₂₃	—	2	4	no	—
136	C₄²×C₂₃	C₂×D₄	1	2	yes	—
137	C₄²×C₂₃	C₂×D₄	1	4	yes	—
138	C₄²×C₂₃	C₂⁴	1	2	yes	—
139	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
140	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
141	#61013	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
142	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
143	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
144	Q₈×C₂₃	—	2	16	no	—
145	Q₈×C₂₃	—	4	1	no	—
146	Q₈×C₂₃	—	4	8	no	—
147	Q₈×C₂₃	—	4	8	no	—
148	D₄×C₂₃	—	4	1	no	—
149	D₄×C₂₃	—	4	2	no	—
150	C₂×C₄×C₂₃	—	2	8	no	—
151	C₂×C₄×C₂₃	—	2	4	no	—
152	C₂×C₄×C₂₃	—	2	2	no	—
153	C₂×C₄×C₂₃	—	2	4	no	—
154	C₂×C₄×C₂₃	—	2	8	no	—
155	C₂×C₄×C₂₃	—	2	8	no	—
156	C₂×C₄×C₂₃	—	4	8	no	—
157	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
158	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
159	C₂×C₄×C₂₃	C₂²×D₄	1	4	yes	—
160	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
162	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
163	C₈×C₂₃	—	2	4	no	—
164	C₈×C₂₃	—	2	4	no	—
165	#3509	C₂×C₂₃	1	2	yes	—
166	#3261	C₂×C₂₃	1	4	yes	complemented
167	#3231	C₂×C₂₃	1	4	yes	complemented
168	#3209	C₂×C₂₃	1	4	yes	complemented
169	#3202	C₂×C₂₃	1	4	yes	—
170	#3185	C₂×C₂₃	1	2	yes	complemented
171	#3170	C₂×C₂₃	1	2	yes	complemented
172	#3127	C₂×C₂₃	1	8	yes	complemented
173	#2922	C₂×C₂₃	1	1	yes	characteristic
174	C₂²×C₂₃	—	2	2	no	—
175	C₂²×C₂₃	—	2	1	no	—
176	C₂²×C₂₃	—	2	2	no	—
177	C₂²×C₂₃	—	2	4	no	—
178	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
179	C₄×C₂₃	—	2	1	no	—
180	C₄×C₂₃	—	2	2	no	—
181	C₄×C₂₃	—	2	2	no	—
182	C₄×C₂₃	—	2	4	no	—
183	C₄×C₂₃	—	4	8	no	—
184	C₄×C₂₃	—	4	8	no	—
185	C₄×C₂₃	#578	1	4	yes	—
186	C₄×C₂₃	#585	1	2	yes	—
187	#557	—	2	4	no	—
188	#556	—	2	4	no	—
189	#552	—	2	4	no	—
190	#552	—	2	4	no	—
191	#541	C₂²×C₂₃	1	4	yes	—
192	#541	C₂²×C₂₃	1	4	yes	—
193	#536	C₂²×C₂₃	1	4	yes	—
194	#533	C₂²×C₂₃	1	4	yes	—
195	#533	C₂²×C₂₃	1	4	yes	—
196	#533	C₂²×C₂₃	1	2	yes	—
197	C₂×C₄⋊Q₈	C₂²×C₂₃	1	2	yes	—
198	#519	C₂²×C₂₃	1	4	yes	—
199	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
200	#500	C₂²×C₂₃	1	2	yes	—
201	#498	C₂²×C₂₃	1	2	yes	—
202	#494	C₂²×C₂₃	1	2	yes	—
203	#494	C₂²×C₂₃	1	2	yes	—
204	#487	C₂²×C₂₃	1	4	yes	—
205	#487	C₂²×C₂₃	1	4	yes	—
206	#485	C₂²×C₂₃	1	16	yes	—
207	#479	C₂²×C₂₃	1	16	yes	—
208	#470	C₂²×C₂₃	1	8	yes	—
209	#467	C₂²×C₂₃	1	8	yes	—
210	#462	C₂²×C₂₃	1	16	yes	—
211	#451	C₂²×C₂₃	1	16	yes	—
212	#441	C₂²×C₂₃	1	8	yes	—
213	C₄×Q₁₆	C₂²×C₂₃	1	8	yes	—
214	#433	C₂²×C₂₃	1	4	yes	—
215	#431	C₂²×C₂₃	1	4	yes	—
216	#424	C₂²×C₂₃	1	2	yes	—
217	#408	C₂²×C₂₃	1	2	yes	—
218	C₄×M₁₆	C₂²×C₂₃	1	1	yes	characteristic
219	C₂×C₄×C₈	C₂²×C₂₃	1	1	yes	characteristic
220	C₂×C₂₃	—	4	2	no	—
221	C₂×C₂₃	—	4	1	no	—
222	C₂×C₂₃	#3449	1	1	yes	characteristic
223	C₂×C₂₃	C₂×#578	1	2	yes	—
224	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
225	C₂²×Q₈	C₂³×C₂₃	1	4	yes	—
226	C₂×Q₁₆	C₂³×C₂₃	1	8	yes	—
227	C₂×Q₁₆	C₂³×C₂₃	1	8	yes	—
228	C₂×M₁₆	C₂³×C₂₃	1	2	yes	—
229	C₂²×C₈	C₂³×C₂₃	1	2	yes	—
230	C₄⋊Q₈	—	2	4	no	—
231	C₄⋊Q₈	—	2	4	no	—
232	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
233	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
234	C₄⋊Q₈	C₂³×C₂₃	1	4	yes	—
235	#126	—	2	8	no	—
236	#126	—	2	8	no	—
237	#125	—	2	8	no	—
238	#125	—	2	8	no	—
239	#125	—	2	4	no	—
240	#125	—	2	4	no	—
241	#125	C₂³×C₂₃	1	4	yes	—
242	#124	—	2	4	no	—
243	#123	—	2	4	no	—
244	#123	—	2	4	no	—
245	C₂²⋊Q₈	—	2	4	no	—
246	C₂²⋊Q₈	—	2	4	no	—
247	C₂²⋊Q₈	—	2	4	no	—
248	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
249	C₂²⋊Q₈	C₂³×C₂₃	1	8	yes	—
250	C₄×Q₈	—	2	8	no	—
251	C₄×Q₈	—	2	4	no	—
252	C₄×Q₈	—	2	4	no	—
253	C₄×Q₈	—	2	4	no	—
254	C₄×Q₈	D₄×C₂₃	1	2	yes	—
255	C₄×Q₈	C₂³×C₂₃	1	8	yes	—
256	C₄×Q₈	C₂³×C₂₃	1	8	yes	—
257	C₄×D₄	D₄×C₂₃	1	2	yes	—
258	C₄×D₄	D₄×C₂₃	1	4	yes	—
259	#117	—	2	4	no	—
260	#117	—	2	4	no	—
261	#117	—	2	8	no	—
262	#117	C₂³×C₂₃	1	4	yes	—
263	#117	C₂³×C₂₃	1	2	yes	—
264	#117	C₂³×C₂₃	1	1	yes	characteristic
265	C₂×C₄⋊C₄	—	2	4	no	—
266	C₂×C₄²	C₂³×C₂₃	1	2	yes	—
267	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
268	#107	C₂³×C₂₃	1	8	yes	—
269	#106	C₂³×C₂₃	1	8	yes	—
270	C₄⋊C₈	C₂³×C₂₃	1	8	yes	—
271	#103	C₂³×C₂₃	1	16	yes	—
272	#103	C₂³×C₂₃	1	16	yes	—
273	C₂²⋊C₈	C₂³×C₂₃	1	8	yes	—
274	#97	C₂³×C₂₃	1	2	yes	—
275	C₄×C₈	C₂³×C₂₃	1	2	yes	—
276	C₄×C₈	C₂³×C₂₃	1	2	yes	—
277	C₄×C₈	C₂³×C₂₃	1	2	yes	—
278	C₂₃	#61013	1	1	yes	characteristic, direct product factor, Sylow
279	#41	—	4	2	no	—
280	C₂×Q₈	—	2	4	no	—
281	C₂×Q₈	—	2	4	no	—
282	C₂×Q₈	—	4	8	no	—
283	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
284	C₂×Q₈	C₂⁴×C₂₃	1	8	yes	—
285	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
286	C₂×D₄	C₂×D₄×C₂₃	1	2	yes	—
287	C₂²×C₄	—	2	4	no	—
288	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	—
289	C₂²×C₄	C₂×D₄×C₂₃	1	2	yes	—
290	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
291	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
292	Q₁₆	—	4	8	no	—
293	Q₁₆	—	4	8	no	—
294	M₁₆	—	4	2	no	—
295	C₂×C₈	—	4	2	no	—
296	C₂×C₈	C₂⁴×C₂₃	1	4	yes	—
297	C₂×C₈	C₂⁴×C₂₃	1	4	yes	—
298	C₄⋊C₄	—	2	4	no	—
299	C₄⋊C₄	—	2	4	no	—
300	C₄⋊C₄	—	2	8	no	—
301	C₄⋊C₄	—	2	4	no	—
302	C₄⋊C₄	—	2	8	no	—
303	C₄⋊C₄	—	2	8	no	—
304	C₄⋊C₄	—	2	8	no	—
305	C₄⋊C₄	—	2	8	no	—
306	C₄⋊C₄	—	2	8	no	—
307	C₄⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
308	C₄⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
309	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
310	C₂²⋊C₄	—	2	4	no	—
311	C₂²⋊C₄	—	2	8	no	—
312	C₂²⋊C₄	—	2	8	no	—
313	C₂²⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
314	C₂²⋊C₄	C₂×D₄×C₂₃	1	2	yes	—
315	C₄²	—	2	8	no	—
316	C₄²	—	2	8	no	—
317	C₄²	—	2	4	no	—
318	C₄²	C₂×D₄×C₂₃	1	2	yes	—
319	C₄²	C₂×D₄×C₂₃	1	4	yes	—
320	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
321	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
322	C₄²	C₂⁴×C₂₃	1	2	yes	—
323	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
324	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
325	Q₈	—	2	16	no	—
326	Q₈	—	4	1	no	—
327	Q₈	—	4	8	no	—
328	Q₈	—	4	8	no	—
329	D₄	—	4	2	no	—
330	D₄	—	4	1	no	—
331	C₂×C₄	—	2	8	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	4	no	—
335	C₂×C₄	—	2	8	no	—
336	C₂×C₄	—	2	8	no	—
337	C₂×C₄	—	4	8	no	—
338	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
339	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
340	C₂×C₄	C₂²×D₄×C₂₃	1	4	yes	—
341	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
342	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
343	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
344	C₈	—	2	4	no	—
345	C₈	—	2	4	no	—
346	C₂²	—	2	2	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	2	no	—
349	C₂²	—	2	4	no	—
350	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
351	C₄	—	2	2	no	—
352	C₄	—	2	1	no	—
353	C₄	—	2	2	no	—
354	C₄	—	2	4	no	—
355	C₄	—	4	8	no	—
356	C₄	—	4	8	no	—
357	C₄	C₂₃×#578	1	4	yes	—
358	C₄	C₂₃×#585	1	2	yes	—
359	C₂	—	4	2	no	—
360	C₂	—	4	1	no	—
361	C₂	C₂₃×#3449	1	1	yes	characteristic
362	C₂	C₂×C₂₃×#578	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₂₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₃
prime radical	C₂×#41×C₂₃	C₂³
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃ ◁ C₄×#41×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂₃×#3261	C₂	semidirect
3. C₂₃×#3231	C₂	semidirect
4. C₂₃×#3209	C₂	semidirect
6. C₂₃×#3185	C₂	semidirect
7. C₂₃×#3170	C₂	semidirect
8. C₂₃×#3127	C₂	semidirect
141. #61013	C₂₃	direct (N × H)
166. #3261	C₂×C₂₃	semidirect
167. #3231	C₂×C₂₃	semidirect
168. #3209	C₂×C₂₃	semidirect
170. #3185	C₂×C₂₃	semidirect
171. #3170	C₂×C₂₃	semidirect
172. #3127	C₂×C₂₃	semidirect
278. C₂₃	#61013	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×#3509	2
C₂₃×#3261	2
C₂₃×#3231	2
C₂₃×#3209	2
C₂₃×#3202	2
C₂₃×#3185	2
C₂₃×#3170	2
C₂₃×#3127	2
C₂₃×#2922	2
#61013	23

Subgroups — C23×#61013 #19208639

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61013 #19208639