Subgroups — C₂₃×#60401 #19208027

Order 5888.

4854 conjugacy classes of subgroups.

The subgroup lattice has 330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×H(7,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3485	C₂	1	3	yes	maximal, complemented
3	C₂₃×#3028	C₂	1	4	yes	maximal, complemented
4	C₂₃×#3026	C₂	1	8	yes	maximal, complemented
5	C₂₃×#3025	C₂	1	4	yes	maximal, complemented
6	C₂×C₂₃×#458	C₂	1	8	yes	maximal, complemented
7	C₂₃×#2883	C₂	1	3	yes	maximal, complemented
8	C₂₃×#585	—	2	12	no	—
9	C₂₃×#585	C₂²	1	4	yes	—
10	C₂×C₂₃×H(5,𝔽₂)	—	2	12	no	—
11	C₂×C₂₃×H(5,𝔽₂)	C₂²	1	8	yes	—
12	C₂×C₂₃×H(5,𝔽₂)	C₂²	1	3	yes	—
13	C₂²×#41×C₂₃	C₂²	1	1	yes	characteristic, complemented
14	C₂₃×#547	—	2	12	no	—
15	C₂₃×#546	—	2	12	no	—
16	C₂₃×#536	C₂²	1	6	yes	complemented
17	C₂₃×#534	C₂²	1	12	yes	complemented
18	C₂₃×#525	C₂²	1	6	yes	complemented
19	C₂×C₂₃×#123	C₂²	1	12	yes	complemented
20	C₂₃×#518	C₂²	1	3	yes	complemented
21	C₂₃×#458	C₂²	1	16	yes	complemented
22	C₂₃×#458	C₂²	1	32	yes	complemented
23	C₂₃×B(4,𝔽₂)	C₂²	1	16	yes	complemented
24	C₂₃×#410	C₂²	1	12	yes	complemented
25	C₂×C₂₃×#99	C₂²	1	24	yes	complemented
26	C₂₃×2₋¹⁺⁴	—	2	16	no	—
27	C₂₃×2₋¹⁺⁴	—	2	12	no	—
28	C₂₃×H(5,𝔽₂)	—	2	48	no	—
29	C₂₃×H(5,𝔽₂)	—	2	12	no	—
30	C₂₃×H(5,𝔽₂)	—	2	48	no	—
31	C₂₃×H(5,𝔽₂)	—	2	24	no	—
32	C₂₃×H(5,𝔽₂)	C₂³	1	16	yes	—
33	C₂×#41×C₂₃	—	2	48	no	—
34	C₂×#41×C₂₃	—	2	12	no	—
35	C₂×#41×C₂₃	—	2	24	no	—
36	C₂×#41×C₂₃	—	2	24	no	—
37	C₂×#41×C₂₃	D₄	1	12	yes	complemented
38	C₂×#41×C₂₃	C₂³	1	6	yes	—
39	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
40	C₂²×D₄×C₂₃	—	2	16	no	—
41	C₂²×D₄×C₂₃	—	2	24	no	—
42	C₂²×D₄×C₂₃	D₄	1	12	yes	complemented
43	C₂²×D₄×C₂₃	C₂³	1	12	yes	—
44	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
45	C₂²×D₄×C₂₃	C₂³	1	2	yes	complemented
46	C₂³×C₄×C₂₃	C₂³	1	2	yes	complemented
47	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
48	C₂₃×C₄⋊Q₈	—	2	6	no	—
49	C₂₃×#124	—	2	6	no	—
50	C₂₃×#123	—	2	24	no	—
51	C₂₃×#123	—	2	12	no	—
52	C₂₃×#123	C₂³	1	12	yes	complemented
53	C₂₃×#123	C₂³	1	24	yes	complemented
54	C₂₃×C₂²⋊Q₈	—	2	6	no	—
55	C₂₃×C₂²⋊Q₈	—	2	12	no	—
56	C₂₃×#121	—	2	24	no	—
57	C₂₃×#121	—	2	6	no	—
58	C₂₃×#120	—	2	12	no	—
59	C₂₃×#120	C₂³	1	12	yes	complemented
60	C₄×D₄×C₂₃	—	2	12	no	—
61	C₄×D₄×C₂₃	—	2	12	no	—
62	C₂₃×#117	C₂³	1	6	yes	complemented
63	C₂×C₄⋊C₄×C₂₃	—	2	12	no	—
64	C₂×C₂²⋊C₄×C₂₃	—	2	12	no	—
65	C₂×C₂²⋊C₄×C₂₃	C₂³	1	12	yes	complemented
66	C₂₃×#99	C₂³	1	48	yes	complemented
67	C₂⁴×C₂₃	—	2	8	no	—
68	C₂⁴×C₂₃	C₂×D₄	1	12	yes	—
69	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
70	C₂⁴×C₂₃	C₂⁴	1	2	yes	—
71	#41×C₂₃	—	2	96	no	—
72	#41×C₂₃	—	2	48	no	—
73	#41×C₂₃	—	2	16	no	—
74	#41×C₂₃	—	2	48	no	—
75	#41×C₂₃	—	2	48	no	—
76	#41×C₂₃	—	2	24	no	—
77	#41×C₂₃	—	4	16	no	—
78	C₂×Q₈×C₂₃	—	2	24	no	—
79	C₂×Q₈×C₂₃	—	2	8	no	—
80	C₂×Q₈×C₂₃	—	2	6	no	—
81	C₂×Q₈×C₂₃	C₂×D₄	1	6	yes	—
82	C₂×D₄×C₂₃	—	2	96	no	—
83	C₂×D₄×C₂₃	—	2	24	no	—
84	C₂×D₄×C₂₃	—	2	24	no	—
85	C₂×D₄×C₂₃	—	2	48	no	—
86	C₂×D₄×C₂₃	—	2	48	no	—
87	C₂×D₄×C₂₃	—	2	48	no	—
88	C₂×D₄×C₂₃	—	2	12	no	—
89	C₂×D₄×C₂₃	—	2	12	no	—
90	C₂×D₄×C₂₃	C₂×D₄	1	24	yes	—
91	C₂×D₄×C₂₃	C₂×D₄	1	6	yes	—
92	C₂×D₄×C₂₃	C₂×D₄	1	12	yes	—
93	C₂×D₄×C₂₃	C₂⁴	1	12	yes	—
94	C₂²×C₄×C₂₃	—	2	24	no	—
95	C₂²×C₄×C₂₃	—	2	16	no	—
96	C₂²×C₄×C₂₃	—	2	12	no	—
97	C₂²×C₄×C₂₃	—	2	12	no	—
98	C₂²×C₄×C₂₃	—	2	6	no	—
99	C₂²×C₄×C₂₃	C₂×D₄	1	12	yes	—
100	C₂²×C₄×C₂₃	C₂×D₄	1	12	yes	—
101	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
102	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
103	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
104	C₄⋊C₄×C₂₃	—	2	12	no	—
105	C₄⋊C₄×C₂₃	—	2	24	no	—
106	C₄⋊C₄×C₂₃	—	2	6	no	—
107	C₂²⋊C₄×C₂₃	—	2	12	no	—
108	C₂²⋊C₄×C₂₃	—	2	24	no	—
109	C₂²⋊C₄×C₂₃	—	2	12	no	—
110	C₂²⋊C₄×C₂₃	—	2	12	no	—
111	C₂²⋊C₄×C₂₃	C₂⁴	1	12	yes	—
112	C₄²×C₂₃	—	2	6	no	—
113	#60401	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
114	C₂³×C₂₃	—	2	16	no	—
115	C₂³×C₂₃	—	2	24	no	—
116	C₂³×C₂₃	—	2	3	no	—
117	C₂³×C₂₃	—	8	2	no	—
118	C₂³×C₂₃	—	8	1	no	—
119	C₂³×C₂₃	—	8	12	no	—
120	C₂³×C₂₃	—	16	8	no	—
121	C₂³×C₂₃	C₂²×D₄	1	12	yes	—
122	C₂³×C₂₃	C₂²×D₄	1	12	yes	—
123	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
124	Q₈×C₂₃	—	2	16	no	—
125	Q₈×C₂₃	—	2	12	no	—
126	Q₈×C₂₃	—	4	4	no	—
127	D₄×C₂₃	—	2	48	no	—
128	D₄×C₂₃	—	2	48	no	—
129	D₄×C₂₃	—	2	24	no	—
130	D₄×C₂₃	—	2	12	no	—
131	D₄×C₂₃	—	4	8	no	—
132	D₄×C₂₃	—	8	12	no	—
133	D₄×C₂₃	#120	1	16	yes	—
134	C₂×C₄×C₂₃	—	2	48	no	—
135	C₂×C₄×C₂₃	—	2	24	no	—
136	C₂×C₄×C₂₃	—	2	24	no	—
137	C₂×C₄×C₂₃	—	2	12	no	—
138	C₂×C₄×C₂₃	—	2	3	no	—
139	C₂×C₄×C₂₃	—	2	6	no	—
140	C₂×C₄×C₂₃	—	4	8	no	—
141	C₂×C₄×C₂₃	—	4	4	no	—
142	C₂×C₄×C₂₃	—	8	12	no	—
143	C₂×C₄×C₂₃	C₂²×D₄	1	12	yes	—
144	C₂×C₄×C₂₃	C₂²×D₄	1	6	yes	—
145	H(7,𝔽₂)	C₂×C₂₃	1	1	yes	characteristic, complemented
146	#3485	C₂×C₂₃	1	3	yes	complemented
147	#3028	C₂×C₂₃	1	4	yes	complemented
148	#3026	C₂×C₂₃	1	8	yes	complemented
149	#3025	C₂×C₂₃	1	4	yes	complemented
150	C₂×#458	C₂×C₂₃	1	8	yes	complemented
151	#2883	C₂×C₂₃	1	3	yes	complemented
152	C₂²×C₂₃	—	2	12	no	—
153	C₂²×C₂₃	—	4	12	no	—
154	C₂²×C₂₃	—	4	1	no	—
155	C₂²×C₂₃	—	4	12	no	—
156	C₂²×C₂₃	—	4	6	no	—
157	C₂²×C₂₃	—	4	1	no	—
158	C₂²×C₂₃	—	8	24	no	—
159	C₂²×C₂₃	—	8	16	no	—
160	C₂²×C₂₃	C₂×#120	1	8	yes	—
161	C₂²×C₂₃	C₂³×D₄	1	3	yes	—
162	C₄×C₂₃	—	2	12	no	—
163	C₄×C₂₃	—	4	12	no	—
164	C₄×C₂₃	—	4	1	no	—
165	C₄×C₂₃	—	4	2	no	—
166	C₄×C₂₃	C₂×#120	1	4	yes	—
167	#585	—	2	12	no	—
168	#585	C₂²×C₂₃	1	4	yes	—
169	C₂×H(5,𝔽₂)	—	2	12	no	—
170	C₂×H(5,𝔽₂)	C₂²×C₂₃	1	8	yes	—
171	C₂×H(5,𝔽₂)	C₂²×C₂₃	1	3	yes	—
172	C₂²×#41	C₂²×C₂₃	1	1	yes	characteristic, complemented
173	#547	—	2	12	no	—
174	#546	—	2	12	no	—
175	#536	C₂²×C₂₃	1	6	yes	complemented
176	#534	C₂²×C₂₃	1	12	yes	complemented
177	#525	C₂²×C₂₃	1	6	yes	complemented
178	C₂×#123	C₂²×C₂₃	1	12	yes	complemented
179	#518	C₂²×C₂₃	1	3	yes	complemented
180	#458	C₂²×C₂₃	1	16	yes	complemented
181	#458	C₂²×C₂₃	1	32	yes	complemented
182	B(4,𝔽₂)	C₂²×C₂₃	1	16	yes	complemented
183	#410	C₂²×C₂₃	1	12	yes	complemented
184	C₂×#99	C₂²×C₂₃	1	24	yes	complemented
185	C₂×C₂₃	—	2	3	no	—
186	C₂×C₂₃	—	2	8	no	—
187	C₂×C₂₃	—	4	12	no	—
188	C₂×C₂₃	—	8	1	no	—
189	C₂×C₂₃	C₂²×#120	1	1	yes	characteristic
190	2₋¹⁺⁴	—	2	16	no	—
191	2₋¹⁺⁴	—	2	12	no	—
192	H(5,𝔽₂)	—	2	48	no	—
193	H(5,𝔽₂)	—	2	12	no	—
194	H(5,𝔽₂)	—	2	48	no	—
195	H(5,𝔽₂)	—	2	24	no	—
196	H(5,𝔽₂)	C₂³×C₂₃	1	16	yes	—
197	C₂×#41	—	2	48	no	—
198	C₂×#41	—	2	12	no	—
199	C₂×#41	—	2	24	no	—
200	C₂×#41	—	2	24	no	—
201	C₂×#41	D₄×C₂₃	1	12	yes	complemented
202	C₂×#41	C₂³×C₂₃	1	6	yes	—
203	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
204	C₂²×D₄	—	2	16	no	—
205	C₂²×D₄	—	2	24	no	—
206	C₂²×D₄	D₄×C₂₃	1	12	yes	complemented
207	C₂²×D₄	C₂³×C₂₃	1	12	yes	—
208	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
209	C₂²×D₄	C₂³×C₂₃	1	2	yes	complemented
210	C₂³×C₄	C₂³×C₂₃	1	2	yes	complemented
211	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic, complemented
212	C₄⋊Q₈	—	2	6	no	—
213	#124	—	2	6	no	—
214	#123	—	2	24	no	—
215	#123	—	2	12	no	—
216	#123	C₂³×C₂₃	1	12	yes	complemented
217	#123	C₂³×C₂₃	1	24	yes	complemented
218	C₂²⋊Q₈	—	2	6	no	—
219	C₂²⋊Q₈	—	2	12	no	—
220	#121	—	2	6	no	—
221	#121	—	2	24	no	—
222	#120	—	2	12	no	—
223	#120	C₂³×C₂₃	1	12	yes	complemented
224	C₄×D₄	—	2	12	no	—
225	C₄×D₄	—	2	12	no	—
226	#117	C₂³×C₂₃	1	6	yes	complemented
227	C₂×C₄⋊C₄	—	2	12	no	—
228	C₂×C₂²⋊C₄	—	2	12	no	—
229	C₂×C₂²⋊C₄	C₂³×C₂₃	1	12	yes	complemented
230	#99	C₂³×C₂₃	1	48	yes	complemented
231	C₂₃	#60401	1	1	yes	characteristic, direct product factor, Sylow
232	C₂⁴	—	2	8	no	—
233	C₂⁴	C₂×D₄×C₂₃	1	12	yes	—
234	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
235	C₂⁴	C₂⁴×C₂₃	1	2	yes	—
236	#41	—	2	96	no	—
237	#41	—	2	48	no	—
238	#41	—	2	16	no	—
239	#41	—	2	48	no	—
240	#41	—	2	48	no	—
241	#41	—	2	24	no	—
242	#41	—	4	16	no	—
243	C₂×Q₈	—	2	24	no	—
244	C₂×Q₈	—	2	8	no	—
245	C₂×Q₈	—	2	6	no	—
246	C₂×Q₈	C₂×D₄×C₂₃	1	6	yes	—
247	C₂×D₄	—	2	96	no	—
248	C₂×D₄	—	2	24	no	—
249	C₂×D₄	—	2	24	no	—
250	C₂×D₄	—	2	48	no	—
251	C₂×D₄	—	2	48	no	—
252	C₂×D₄	—	2	48	no	—
253	C₂×D₄	—	2	12	no	—
254	C₂×D₄	—	2	12	no	—
255	C₂×D₄	C₂×D₄×C₂₃	1	24	yes	—
256	C₂×D₄	C₂×D₄×C₂₃	1	6	yes	—
257	C₂×D₄	C₂×D₄×C₂₃	1	12	yes	—
258	C₂×D₄	C₂⁴×C₂₃	1	12	yes	—
259	C₂²×C₄	—	2	24	no	—
260	C₂²×C₄	—	2	16	no	—
261	C₂²×C₄	—	2	12	no	—
262	C₂²×C₄	—	2	12	no	—
263	C₂²×C₄	—	2	6	no	—
264	C₂²×C₄	C₂×D₄×C₂₃	1	12	yes	—
265	C₂²×C₄	C₂×D₄×C₂₃	1	12	yes	—
266	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
267	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
268	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
269	C₄⋊C₄	—	2	12	no	—
270	C₄⋊C₄	—	2	24	no	—
271	C₄⋊C₄	—	2	6	no	—
272	C₂²⋊C₄	—	2	12	no	—
273	C₂²⋊C₄	—	2	24	no	—
274	C₂²⋊C₄	—	2	12	no	—
275	C₂²⋊C₄	—	2	12	no	—
276	C₂²⋊C₄	C₂⁴×C₂₃	1	12	yes	—
277	C₄²	—	2	6	no	—
278	C₂³	—	2	16	no	—
279	C₂³	—	2	24	no	—
280	C₂³	—	2	3	no	—
281	C₂³	—	8	2	no	—
282	C₂³	—	8	1	no	—
283	C₂³	—	8	12	no	—
284	C₂³	—	16	8	no	—
285	C₂³	C₂²×D₄×C₂₃	1	12	yes	—
286	C₂³	C₂²×D₄×C₂₃	1	12	yes	—
287	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
288	Q₈	—	2	16	no	—
289	Q₈	—	2	12	no	—
290	Q₈	—	4	4	no	—
291	D₄	—	2	48	no	—
292	D₄	—	2	24	no	—
293	D₄	—	2	48	no	—
294	D₄	—	2	12	no	—
295	D₄	—	4	8	no	—
296	D₄	—	8	12	no	—
297	D₄	C₂₃×#120	1	16	yes	—
298	C₂×C₄	—	2	48	no	—
299	C₂×C₄	—	2	24	no	—
300	C₂×C₄	—	2	24	no	—
301	C₂×C₄	—	2	12	no	—
302	C₂×C₄	—	2	3	no	—
303	C₂×C₄	—	2	6	no	—
304	C₂×C₄	—	4	8	no	—
305	C₂×C₄	—	4	4	no	—
306	C₂×C₄	—	8	12	no	—
307	C₂×C₄	C₂²×D₄×C₂₃	1	12	yes	—
308	C₂×C₄	C₂²×D₄×C₂₃	1	6	yes	—
309	C₂²	—	2	12	no	—
310	C₂²	—	4	12	no	—
311	C₂²	—	4	1	no	—
312	C₂²	—	4	12	no	—
313	C₂²	—	4	6	no	—
314	C₂²	—	4	1	no	—
315	C₂²	—	8	24	no	—
316	C₂²	—	8	16	no	—
317	C₂²	C₂×C₂₃×#120	1	8	yes	—
318	C₂²	C₂³×D₄×C₂₃	1	3	yes	—
319	C₄	—	2	12	no	—
320	C₄	—	4	12	no	—
321	C₄	—	4	1	no	—
322	C₄	—	4	2	no	—
323	C₄	C₂×C₂₃×#120	1	4	yes	—
324	C₂	—	2	3	no	—
325	C₂	—	2	8	no	—
326	C₂	—	4	12	no	—
327	C₂	—	8	1	no	—
328	C₂	C₂²×C₂₃×#120	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₂₃	C₂²×#120
commutator, Frattini, cosocle	C₂³	C₂⁵×C₂₃
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₂₃ ◁ C₂²×D₄×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×H(7,𝔽₂)	C₂	semidirect
2. C₂₃×#3485	C₂	semidirect
3. C₂₃×#3028	C₂	semidirect
4. C₂₃×#3026	C₂	semidirect
5. C₂₃×#3025	C₂	semidirect
6. C₂×C₂₃×#458	C₂	semidirect
7. C₂₃×#2883	C₂	semidirect
13. C₂²×#41×C₂₃	C₂²	semidirect
16. C₂₃×#536	C₂²	semidirect
17. C₂₃×#534	C₂²	semidirect
18. C₂₃×#525	C₂²	semidirect
19. C₂×C₂₃×#123	C₂²	semidirect
20. C₂₃×#518	C₂²	semidirect
21. C₂₃×#458	C₂²	semidirect
22. C₂₃×#458	C₂²	semidirect
23. C₂₃×B(4,𝔽₂)	C₂²	semidirect
24. C₂₃×#410	C₂²	semidirect
25. C₂×C₂₃×#99	C₂²	semidirect
37. C₂×#41×C₂₃	D₄	semidirect
39. C₂²×Q₈×C₂₃	C₂³	semidirect
42. C₂²×D₄×C₂₃	D₄	semidirect
45. C₂²×D₄×C₂₃	C₂³	semidirect
46. C₂³×C₄×C₂₃	C₂³	semidirect
47. C₂³×C₄×C₂₃	C₂³	semidirect
52. C₂₃×#123	C₂³	semidirect
53. C₂₃×#123	C₂³	semidirect
59. C₂₃×#120	C₂³	semidirect
62. C₂₃×#117	C₂³	semidirect
65. C₂×C₂²⋊C₄×C₂₃	C₂³	semidirect
66. C₂₃×#99	C₂³	semidirect
113. #60401	C₂₃	direct (N × H)
145. H(7,𝔽₂)	C₂×C₂₃	semidirect
146. #3485	C₂×C₂₃	semidirect
147. #3028	C₂×C₂₃	semidirect
148. #3026	C₂×C₂₃	semidirect
149. #3025	C₂×C₂₃	semidirect
150. C₂×#458	C₂×C₂₃	semidirect
151. #2883	C₂×C₂₃	semidirect
172. C₂²×#41	C₂²×C₂₃	semidirect
175. #536	C₂²×C₂₃	semidirect
176. #534	C₂²×C₂₃	semidirect
177. #525	C₂²×C₂₃	semidirect
178. C₂×#123	C₂²×C₂₃	semidirect
179. #518	C₂²×C₂₃	semidirect
180. #458	C₂²×C₂₃	semidirect
181. #458	C₂²×C₂₃	semidirect
182. B(4,𝔽₂)	C₂²×C₂₃	semidirect
183. #410	C₂²×C₂₃	semidirect
184. C₂×#99	C₂²×C₂₃	semidirect
201. C₂×#41	D₄×C₂₃	semidirect
203. C₂²×Q₈	C₂³×C₂₃	semidirect
206. C₂²×D₄	D₄×C₂₃	semidirect
209. C₂²×D₄	C₂³×C₂₃	semidirect
210. C₂³×C₄	C₂³×C₂₃	semidirect
211. C₂³×C₄	C₂³×C₂₃	semidirect
216. #123	C₂³×C₂₃	semidirect
217. #123	C₂³×C₂₃	semidirect
223. #120	C₂³×C₂₃	semidirect
226. #117	C₂³×C₂₃	semidirect
229. C₂×C₂²⋊C₄	C₂³×C₂₃	semidirect
230. #99	C₂³×C₂₃	semidirect
231. C₂₃	#60401	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×H(7,𝔽₂)	2
C₂₃×#3485	2
C₂₃×#3028	2
C₂₃×#3026	2
C₂₃×#3025	2
C₂×C₂₃×#458	2
C₂₃×#2883	2
#60401	23

Subgroups — C23×#60401 #19208027

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#60401 #19208027