Subgroups — D₂₃×#541 #15686759

Order 2944.

1004 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	#13093030	C₂	1	1	yes	maximal, characteristic, complemented
2	#13093029	C₂	1	1	yes	maximal, characteristic, complemented
3	#13093028	C₂	1	1	yes	maximal, characteristic, complemented
4	#13093027	C₂	1	2	yes	maximal, complemented
5	#13093026	C₂	1	4	yes	maximal, complemented
6	#13093025	C₂	1	2	yes	maximal, complemented
7	#13093024	C₂	1	4	yes	maximal, complemented
8	C₄⋊Q₈×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
9	#126×D₂₃	C₂	1	4	yes	maximal
10	#125×D₂₃	C₂	1	4	yes	maximal, complemented
11	#125×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²⋊Q₈×D₂₃	C₂	1	2	yes	maximal
13	C₄×Q₈×D₂₃	C₂	1	2	yes	maximal, complemented
14	#117×D₂₃	C₂	1	1	yes	maximal, characteristic
15	C₂₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×Q₈×D₂₃	C₂²	1	2	yes	—
17	C₂²×C₄×D₂₃	C₂²	1	1	yes	characteristic
18	C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
19	C₂₃×#126	C₂²	1	4	yes	—
20	C₂₃×#125	C₂²	1	4	yes	complemented
21	C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
22	C₂₃×C₂²⋊Q₈	C₂²	1	2	yes	—
23	C₄×Q₈×C₂₃	C₂²	1	2	yes	complemented
24	C₂₃×#117	C₂²	1	1	yes	characteristic
25	#10625117	C₂²	1	2	yes	—
26	Q₈×Dic₂₃	C₂²	1	2	yes	complemented
27	#10625115	C₂²	1	2	yes	complemented
28	#10625097	C₂²	1	1	yes	characteristic
29	#10625095	C₂²	1	2	yes	—
30	#10625069	C₂²	1	4	yes	—
31	#10625069	C₂²	1	4	yes	—
32	#10625069	C₂²	1	4	yes	—
33	#10625068	C₂²	1	2	yes	—
34	#10625067	C₂²	1	4	yes	—
35	#10625063	C₂²	1	2	yes	—
36	C₄⋊C₄×D₂₃	C₂²	1	2	yes	—
37	C₄⋊C₄×D₂₃	C₂²	1	2	yes	—
38	C₄⋊C₄×D₂₃	C₂²	1	4	yes	—
39	C₄⋊C₄×D₂₃	C₂²	1	4	yes	—
40	C₄⋊C₄×D₂₃	C₂²	1	4	yes	—
41	C₄⋊C₄×D₂₃	C₂²	1	4	yes	—
42	#10625061	C₂²	1	4	yes	complemented
43	#10625061	C₂²	1	2	yes	complemented
44	#10625061	C₂²	1	4	yes	complemented
45	#10625060	C₂²	1	4	yes	complemented
46	#10625060	C₂²	1	4	yes	complemented
47	#10625060	C₂²	1	4	yes	complemented
48	#10625060	C₂²	1	4	yes	complemented
49	#10625060	C₂²	1	4	yes	complemented
50	#10625059	C₂²	1	4	yes	complemented
51	#10625058	C₂²	1	4	yes	complemented
52	#10625058	C₂²	1	2	yes	complemented
53	C₂²⋊C₄×D₂₃	C₂²	1	2	yes	—
54	C₂²⋊C₄×D₂₃	C₂²	1	4	yes	—
55	#10625050	C₂²	1	4	yes	—
56	#10625050	C₂²	1	4	yes	—
57	#10625050	C₂²	1	4	yes	—
58	#10625049	C₂²	1	4	yes	—
59	#10625048	C₂²	1	2	yes	—
60	#10625047	C₂²	1	4	yes	—
61	#10625043	C₂²	1	1	yes	characteristic
62	#10625043	C₂²	1	1	yes	characteristic
63	C₄²×D₂₃	C₂²	1	1	yes	characteristic
64	C₄²×D₂₃	C₂²	1	1	yes	characteristic
65	C₄²×D₂₃	C₂²	1	4	yes	—
66	#10625041	C₂²	1	4	yes	complemented
67	#10625041	C₂²	1	1	yes	characteristic, complemented
68	#10625040	C₂²	1	1	yes	characteristic, complemented
69	C₄×Dic₄₆	C₂²	1	4	yes	complemented
70	C₄×Dic₄₆	C₂²	1	2	yes	complemented
71	C₂³×D₂₃	C₂³	1	1	yes	characteristic
72	C₂×Q₈×C₂₃	C₂³	1	2	yes	—
73	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
74	C₂²×Dic₂₃	C₂³	1	1	yes	characteristic
75	Q₈×D₂₃	—	2	8	no	—
76	C₂×C₄×D₂₃	—	2	4	no	—
77	C₂×C₄×D₂₃	C₂³	1	2	yes	—
78	C₂×C₄×D₂₃	C₂³	1	2	yes	—
79	C₂×C₄×D₂₃	C₂³	1	4	yes	—
80	C₂×C₄×D₂₃	C₂³	1	4	yes	—
81	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
82	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
83	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
84	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
85	C₂×Dic₄₆	C₂³	1	2	yes	—
86	C₂×Dic₄₆	C₂³	1	4	yes	—
87	C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
88	C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
89	C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
90	C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
91	C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
92	C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
93	C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
94	C₂²⋊C₄×C₂₃	C₂³	1	4	yes	—
95	C₄²×C₂₃	C₂³	1	1	yes	characteristic
96	C₄²×C₂₃	C₂³	1	4	yes	—
97	C₄²×C₂₃	C₂³	1	1	yes	characteristic
98	C₂²⋊Dic₂₃	C₂³	1	2	yes	—
99	C₂²⋊Dic₂₃	C₂³	1	4	yes	—
100	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
101	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
102	(C₂×D₂₃)⋊C₄	C₂³	1	4	yes	—
103	(C₂×D₂₃)⋊C₄	C₂³	1	4	yes	—
104	C₄⋊Dic₂₃	C₂³	1	2	yes	—
105	C₄⋊Dic₂₃	C₂³	1	4	yes	—
106	C₄⋊Dic₂₃	C₂³	1	4	yes	—
107	C₄⋊Dic₂₃	C₂³	1	4	yes	—
108	C₄⋊Dic₂₃	C₂³	1	4	yes	—
109	C₄⋊Dic₂₃	C₂³	1	2	yes	—
110	Dic₂₃⋊C₄	C₂³	1	4	yes	—
111	Dic₂₃⋊C₄	C₂³	1	4	yes	—
112	Dic₂₃⋊C₄	C₂³	1	4	yes	—
113	Dic₂₃⋊C₄	C₂³	1	2	yes	—
114	Dic₂₃⋊C₄	C₂³	1	4	yes	—
115	Dic₂₃⋊C₄	C₂³	1	4	yes	—
116	Dic₂₃⋊C₄	C₂³	1	4	yes	—
117	Dic₂₃⋊C₄	C₂³	1	2	yes	—
118	Dic₂₃⋊C₄	C₂³	1	4	yes	—
119	Dic₂₃⋊C₄	C₂³	1	4	yes	—
120	Dic₂₃⋊C₄	C₂³	1	4	yes	—
121	C₄×Dic₂₃	C₂³	1	2	yes	—
122	C₄×Dic₂₃	C₂³	1	4	yes	—
123	C₄×Dic₂₃	C₂³	1	1	yes	characteristic
124	C₄×Dic₂₃	C₂³	1	1	yes	characteristic
125	C₄×Dic₂₃	C₂³	1	2	yes	—
126	C₄×Dic₂₃	C₂³	1	4	yes	—
127	C₄×Dic₂₃	C₂³	1	4	yes	—
128	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
129	C₂²×D₂₃	—	2	2	no	—
130	C₂²×D₂₃	—	2	4	no	—
131	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
132	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
133	Q₈×C₂₃	—	2	4	no	—
134	C₂×C₄×C₂₃	—	2	2	no	—
135	C₂×C₄×C₂₃	C₂⁴	1	2	yes	—
136	C₂×C₄×C₂₃	C₂⁴	1	2	yes	—
137	C₂×C₄×C₂₃	C₂⁴	1	4	yes	—
138	C₂×C₄×C₂₃	C₂⁴	1	4	yes	—
139	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
140	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
141	C₂×Dic₂₃	—	2	2	no	—
142	C₂×Dic₂₃	C₂⁴	1	2	yes	—
143	C₂×Dic₂₃	C₂⁴	1	4	yes	—
144	C₂×Dic₂₃	C₂⁴	1	2	yes	—
145	C₂×Dic₂₃	C₂⁴	1	4	yes	—
146	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
147	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
148	C₄×D₂₃	—	2	2	no	—
149	C₄×D₂₃	—	2	8	no	—
150	C₄×D₂₃	—	2	4	no	—
151	C₄×D₂₃	—	2	4	no	—
152	C₄×D₂₃	—	2	8	no	—
153	C₄×D₂₃	—	2	2	no	—
154	C₄×D₂₃	—	2	2	no	—
155	C₄×D₂₃	#41	1	4	yes	—
156	Dic₄₆	—	2	4	no	—
157	Dic₄₆	—	2	8	no	—
158	C₂×#541	—	23	1	no	maximal, Sylow
159	C₂²×C₂₃	—	2	1	no	—
160	C₂²×C₂₃	—	2	2	no	—
161	C₂²×C₂₃	C₂⁵	1	1	yes	characteristic
162	C₂×D₂₃	—	2	1	no	—
163	C₂×D₂₃	—	2	2	no	—
164	C₂×D₂₃	—	4	4	no	—
165	C₂×D₂₃	C₂×#41	1	2	yes	—
166	C₂×D₂₃	2₋¹⁺⁴	1	4	yes	—
167	C₄×C₂₃	—	2	4	no	—
168	C₄×C₂₃	—	2	1	no	—
169	C₄×C₂₃	—	2	2	no	—
170	C₄×C₂₃	—	2	2	no	—
171	C₄×C₂₃	—	2	4	no	—
172	C₄×C₂₃	C₂×#41	1	2	yes	—
173	Dic₂₃	—	2	4	no	—
174	Dic₂₃	—	2	1	no	—
175	Dic₂₃	—	2	2	no	—
176	Dic₂₃	—	2	4	no	—
177	Dic₂₃	—	2	2	no	—
178	Dic₂₃	C₂×#41	1	2	yes	—
179	#541	—	23	1	no	—
180	#541	—	23	4	no	—
181	#541	—	23	4	no	—
182	#541	—	23	1	no	—
183	#541	—	23	2	no	—
184	#541	—	23	2	no	—
185	#541	—	23	1	no	—
186	#541	D₂₃	1	1	yes	characteristic, direct product factor
187	C₂×C₄⋊Q₈	—	23	1	no	—
188	C₂×#126	—	23	4	no	—
189	C₂×#125	—	23	1	no	—
190	C₂×#125	—	23	4	no	—
191	C₂×C₂²⋊Q₈	—	23	2	no	—
192	C₂×C₄×Q₈	—	23	2	no	—
193	C₂×#117	—	23	1	no	—
194	C₂×C₂₃	—	4	1	no	—
195	C₂×C₂₃	C₂²×#41	1	1	yes	characteristic
196	C₂×C₂₃	C₂×2₋¹⁺⁴	1	2	yes	—
197	D₂₃	—	4	1	no	—
198	D₂₃	#541	1	4	yes	direct product factor
199	C₂²×Q₈	—	23	2	no	—
200	C₂³×C₄	—	23	1	no	—
201	C₄⋊Q₈	—	23	2	no	—
202	C₄⋊Q₈	—	23	4	no	—
203	C₄⋊Q₈	—	23	1	no	—
204	C₄⋊Q₈	C₂×D₂₃	1	1	yes	characteristic, complemented
205	#126	—	23	4	no	—
206	#126	—	23	4	no	—
207	#126	—	23	4	no	—
208	#126	—	23	4	no	—
209	#126	—	23	4	no	—
210	#126	—	23	4	no	—
211	#126	—	23	4	no	—
212	#126	C₂×D₂₃	1	4	yes	—
213	#125	—	23	4	no	—
214	#125	—	23	4	no	—
215	#125	—	23	4	no	—
216	#125	—	23	4	no	—
217	#125	—	23	4	no	—
218	#125	—	23	2	no	—
219	#125	—	23	4	no	—
220	#125	—	23	4	no	—
221	#125	—	23	1	no	—
222	#125	—	23	4	no	—
223	#125	C₂×D₂₃	1	1	yes	characteristic, complemented
224	#125	C₂×D₂₃	1	4	yes	complemented
225	C₂²⋊Q₈	—	23	2	no	—
226	C₂²⋊Q₈	—	23	2	no	—
227	C₂²⋊Q₈	—	23	4	no	—
228	C₂²⋊Q₈	—	23	2	no	—
229	C₂²⋊Q₈	—	23	4	no	—
230	C₂²⋊Q₈	C₂×D₂₃	1	2	yes	—
231	C₄×Q₈	—	23	2	no	—
232	C₄×Q₈	—	23	4	no	—
233	C₄×Q₈	—	23	2	no	—
234	C₄×Q₈	—	23	4	no	—
235	C₄×Q₈	—	23	2	no	—
236	C₄×Q₈	C₂×D₂₃	1	2	yes	complemented
237	#117	—	23	1	no	—
238	#117	—	23	2	no	—
239	#117	—	23	2	no	—
240	#117	—	23	1	no	—
241	#117	—	23	1	no	—
242	#117	C₂×D₂₃	1	1	yes	characteristic
243	C₂×C₄⋊C₄	—	23	2	no	—
244	C₂×C₄⋊C₄	—	23	2	no	—
245	C₂×C₄⋊C₄	—	23	4	no	—
246	C₂×C₄⋊C₄	—	23	4	no	—
247	C₂×C₄⋊C₄	—	23	4	no	—
248	C₂×C₄⋊C₄	—	23	4	no	—
249	C₂×C₂²⋊C₄	—	23	2	no	—
250	C₂×C₂²⋊C₄	—	23	4	no	—
251	C₂×C₄²	—	23	1	no	—
252	C₂×C₄²	—	23	1	no	—
253	C₂×C₄²	—	23	4	no	—
254	C₂₃	C₂×#541	1	1	yes	characteristic, complemented, Sylow
255	C₂⁴	—	23	1	no	—
256	C₂×Q₈	—	23	4	no	—
257	C₂×Q₈	—	23	2	no	—
258	C₂×Q₈	—	46	8	no	—
259	C₂×Q₈	C₂²×D₂₃	1	2	yes	—
260	C₂²×C₄	—	23	1	no	—
261	C₂²×C₄	—	23	1	no	—
262	C₂²×C₄	—	23	2	no	—
263	C₂²×C₄	—	23	2	no	—
264	C₂²×C₄	—	23	4	no	—
265	C₂²×C₄	—	23	4	no	—
266	C₂²×C₄	—	23	1	no	—
267	C₂²×C₄	—	23	1	no	—
268	C₂²×C₄	—	23	1	no	—
269	C₂²×C₄	—	46	4	no	—
270	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
271	C₄⋊C₄	—	23	2	no	—
272	C₄⋊C₄	—	23	2	no	—
273	C₄⋊C₄	—	23	2	no	—
274	C₄⋊C₄	—	23	4	no	—
275	C₄⋊C₄	—	23	2	no	—
276	C₄⋊C₄	—	23	4	no	—
277	C₄⋊C₄	—	23	4	no	—
278	C₄⋊C₄	—	23	4	no	—
279	C₄⋊C₄	—	23	4	no	—
280	C₄⋊C₄	—	23	4	no	—
281	C₄⋊C₄	—	23	4	no	—
282	C₄⋊C₄	—	23	4	no	—
283	C₄⋊C₄	—	23	4	no	—
284	C₄⋊C₄	—	23	4	no	—
285	C₄⋊C₄	—	23	4	no	—
286	C₄⋊C₄	—	23	4	no	—
287	C₄⋊C₄	—	23	4	no	—
288	C₄⋊C₄	C₂²×D₂₃	1	2	yes	—
289	C₄⋊C₄	C₂²×D₂₃	1	2	yes	—
290	C₄⋊C₄	C₂²×D₂₃	1	4	yes	—
291	C₄⋊C₄	C₂²×D₂₃	1	4	yes	—
292	C₄⋊C₄	C₂²×D₂₃	1	4	yes	—
293	C₄⋊C₄	C₂²×D₂₃	1	4	yes	—
294	C₂²⋊C₄	—	23	2	no	—
295	C₂²⋊C₄	—	23	4	no	—
296	C₂²⋊C₄	—	23	2	no	—
297	C₂²⋊C₄	—	23	2	no	—
298	C₂²⋊C₄	—	23	4	no	—
299	C₂²⋊C₄	—	23	4	no	—
300	C₂²⋊C₄	C₂²×D₂₃	1	2	yes	—
301	C₂²⋊C₄	C₂²×D₂₃	1	4	yes	—
302	C₄²	—	23	2	no	—
303	C₄²	—	23	1	no	—
304	C₄²	—	23	2	no	—
305	C₄²	—	23	1	no	—
306	C₄²	—	23	4	no	—
307	C₄²	—	23	4	no	—
308	C₄²	—	23	4	no	—
309	C₄²	C₂²×D₂₃	1	1	yes	characteristic
310	C₄²	C₂²×D₂₃	1	1	yes	characteristic
311	C₄²	C₂²×D₂₃	1	4	yes	—
312	C₂³	—	23	1	no	—
313	C₂³	—	23	1	no	—
314	C₂³	—	46	2	no	—
315	C₂³	—	46	4	no	—
316	C₂³	C₂³×D₂₃	1	1	yes	characteristic
317	Q₈	—	2	4	no	—
318	Q₈	—	46	8	no	—
319	Q₈	—	46	4	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	23	1	no	—
322	C₂×C₄	—	23	4	no	—
323	C₂×C₄	—	23	2	no	—
324	C₂×C₄	—	23	2	no	—
325	C₂×C₄	—	23	4	no	—
326	C₂×C₄	—	23	4	no	—
327	C₂×C₄	—	23	1	no	—
328	C₂×C₄	—	46	2	no	—
329	C₂×C₄	—	46	2	no	—
330	C₂×C₄	—	46	8	no	—
331	C₂×C₄	—	46	4	no	—
332	C₂×C₄	—	46	4	no	—
333	C₂×C₄	—	46	8	no	—
334	C₂×C₄	—	46	2	no	—
335	C₂×C₄	—	46	2	no	—
336	C₂×C₄	C₂³×D₂₃	1	2	yes	—
337	C₂×C₄	C₂³×D₂₃	1	2	yes	—
338	C₂×C₄	C₂³×D₂₃	1	4	yes	—
339	C₂×C₄	C₂³×D₂₃	1	4	yes	—
340	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
341	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
342	C₂²	—	2	1	no	—
343	C₂²	—	2	2	no	—
344	C₂²	—	23	2	no	—
345	C₂²	—	23	4	no	—
346	C₂²	—	46	1	no	—
347	C₂²	—	46	2	no	—
348	C₂²	—	92	4	no	—
349	C₂²	C₂⁴×D₂₃	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	2	4	no	—
352	C₄	—	2	2	no	—
353	C₄	—	2	2	no	—
354	C₄	—	2	4	no	—
355	C₄	—	23	2	no	—
356	C₄	—	46	1	no	—
357	C₄	—	46	4	no	—
358	C₄	—	46	2	no	—
359	C₄	—	46	2	no	—
360	C₄	—	46	4	no	—
361	C₄	#41×D₂₃	1	2	yes	—
362	C₂	—	4	1	no	—
363	C₂	—	23	4	no	—
364	C₂	—	92	1	no	—
365	C₂	C₂×#41×D₂₃	1	1	yes	characteristic
366	C₂	2₋¹⁺⁴×D₂₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₂₃
commutator, socle, cosocle	C₂²×C₂₃	C₂⁵
Fitting	C₂₃×#541	C₂
prime radical	C₂³×D₂₃	C₂³
hypercenter	#541	D₂₃
hypocenter	C₂₃	C₂×#541
LCS	G ▷ C₂²×C₂₃ ▷ C₂₃
UCS	C₁ ◁ C₂² ◁ #541

Complements

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

N	H ≅ G/N	type
1. #13093030	C₂	semidirect
2. #13093029	C₂	semidirect
3. #13093028	C₂	semidirect
4. #13093027	C₂	semidirect
5. #13093026	C₂	semidirect
6. #13093025	C₂	semidirect
7. #13093024	C₂	semidirect
8. C₄⋊Q₈×D₂₃	C₂	semidirect
10. #125×D₂₃	C₂	semidirect
11. #125×D₂₃	C₂	semidirect
13. C₄×Q₈×D₂₃	C₂	semidirect
15. C₂₃×#541	C₂	semidirect
18. C₂₃×C₄⋊Q₈	C₂²	semidirect
20. C₂₃×#125	C₂²	semidirect
21. C₂₃×#125	C₂²	semidirect
23. C₄×Q₈×C₂₃	C₂²	semidirect
26. Q₈×Dic₂₃	C₂²	semidirect
27. #10625115	C₂²	semidirect
42. #10625061	C₂²	semidirect
43. #10625061	C₂²	semidirect
44. #10625061	C₂²	semidirect
45. #10625060	C₂²	semidirect
46. #10625060	C₂²	semidirect
47. #10625060	C₂²	semidirect
48. #10625060	C₂²	semidirect
49. #10625060	C₂²	semidirect
50. #10625059	C₂²	semidirect
51. #10625058	C₂²	semidirect
52. #10625058	C₂²	semidirect
66. #10625041	C₂²	semidirect
67. #10625041	C₂²	semidirect
68. #10625040	C₂²	semidirect
69. C₄×Dic₄₆	C₂²	semidirect
70. C₄×Dic₄₆	C₂²	semidirect
186. #541	D₂₃	direct (N × H)
198. D₂₃	#541	direct (N × H)
204. C₄⋊Q₈	C₂×D₂₃	semidirect
223. #125	C₂×D₂₃	semidirect
224. #125	C₂×D₂₃	semidirect
236. C₄×Q₈	C₂×D₂₃	semidirect
254. C₂₃	C₂×#541	semidirect

Maximal subgroups

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

subgroup	index
#13093030	2
#13093029	2
#13093028	2
#13093027	2
#13093026	2
#13093025	2
#13093024	2
C₄⋊Q₈×D₂₃	2
#126×D₂₃	2
#125×D₂₃	2
C₂²⋊Q₈×D₂₃	2
C₄×Q₈×D₂₃	2
#117×D₂₃	2
C₂₃×#541	2
C₂×#541	23

Subgroups — D23×#541 #15686759

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₂₃×#541 #15686759