Subgroups — C₂×C₂₃×#3245 #19208520

Order 5888.

2458 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#532	C₂	1	2	yes	maximal, complemented
2	C₂₃×#3245	C₂	1	16	yes	maximal, direct product factor
3	C₂×C₂₃×#474	C₂	1	4	yes	maximal, complemented
4	C₂×C₂₃×#466	C₂	1	4	yes	maximal, complemented
5	C₂×C₂₃×#459	C₂	1	4	yes	maximal, complemented
6	C₂²×C₂₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#41×C₂₃	—	2	2	no	—
8	C₂²×D₈×C₂₃	C₂²	1	4	yes	—
9	C₂³×C₈×C₂₃	C₂²	1	2	yes	—
10	C₂₃×#532	—	2	8	no	—
11	C₂₃×#532	C₂²	1	16	yes	complemented
12	C₂×C₂₃×C₄⋊Q₈	C₂²	1	2	yes	—
13	C₂×C₂₃×#127	C₂²	1	2	yes	—
14	C₂×C₂₃×#124	—	2	2	no	—
15	C₂×C₂₃×#121	—	2	2	no	—
16	C₂×C₂₃×#121	C₂²	1	4	yes	—
17	C₂×C₄×D₄×C₂₃	—	2	2	no	—
18	C₂×C₄×D₄×C₂₃	C₂²	1	4	yes	—
19	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic
20	C₂₃×#474	C₂²	1	32	yes	complemented
21	C₂₃×#466	C₂²	1	32	yes	complemented
22	C₂₃×#459	C₂²	1	32	yes	complemented
23	C₂×C₂₃×#107	C₂²	1	4	yes	—
24	C₂×C₂₃×C₄⋊C₈	C₂²	1	4	yes	—
25	C₂×C₂₃×C₄⋊C₈	C₂²	1	8	yes	complemented
26	C₂×C₂₃×#102	C₂²	1	8	yes	—
27	C₂×#41×C₂₃	—	2	16	no	—
28	C₂×#41×C₂₃	—	4	16	no	—
29	C₂²×Q₈×C₂₃	—	2	2	no	—
30	C₂²×D₄×C₂₃	—	2	4	no	—
31	C₂²×D₄×C₂₃	—	2	2	no	—
32	C₂²×D₄×C₂₃	—	2	2	no	—
33	C₂²×D₄×C₂₃	C₂³	1	4	yes	—
34	C₂³×C₄×C₂₃	—	2	4	no	—
35	C₂³×C₄×C₂₃	D₄	1	1	yes	characteristic
36	C₂³×C₄×C₂₃	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
38	C₂×D₈×C₂₃	—	4	8	no	—
39	C₂×D₈×C₂₃	C₂³	1	16	yes	—
40	C₂²×C₈×C₂₃	—	4	4	no	—
41	C₂²×C₈×C₂₃	C₂³	1	4	yes	—
42	C₂²×C₈×C₂₃	C₂³	1	8	yes	—
43	C₂₃×C₄⋊Q₈	—	2	4	no	—
44	C₂₃×C₄⋊Q₈	C₂³	1	8	yes	—
45	C₂₃×#127	—	2	4	no	—
46	C₂₃×#127	C₂³	1	8	yes	—
47	C₂₃×#124	—	2	16	no	—
48	C₂₃×#121	—	2	16	no	—
49	C₂₃×#121	—	2	8	no	—
50	C₂₃×#121	C₂³	1	16	yes	—
51	C₄×D₄×C₂₃	—	2	16	no	—
52	C₄×D₄×C₂₃	—	2	8	no	—
53	C₄×D₄×C₂₃	C₂³	1	16	yes	—
54	C₂×C₄⋊C₄×C₂₃	—	2	2	no	—
55	C₂×C₄⋊C₄×C₂₃	C₂³	1	4	yes	—
56	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
57	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
58	C₂×C₄²×C₂₃	D₄	1	2	yes	—
59	C₂×C₄²×C₂₃	D₄	1	4	yes	—
60	C₂×C₄²×C₂₃	C₂³	1	2	yes	—
61	C₂×C₄²×C₂₃	C₂³	1	4	yes	—
62	C₂₃×#107	C₂³	1	16	yes	—
63	C₂₃×C₄⋊C₈	C₂³	1	16	yes	—
64	C₂₃×#102	C₂³	1	32	yes	—
65	C₂⁴×C₂₃	—	2	4	no	—
66	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
67	#41×C₂₃	—	4	64	no	—
68	C₂×Q₈×C₂₃	—	2	8	no	—
69	C₂×Q₈×C₂₃	—	4	8	no	—
70	C₂×D₄×C₂₃	—	2	16	no	—
71	C₂×D₄×C₂₃	—	2	4	no	—
72	C₂×D₄×C₂₃	—	2	8	no	—
73	C₂×D₄×C₂₃	—	2	8	no	—
74	C₂×D₄×C₂₃	—	2	8	no	—
75	C₂×D₄×C₂₃	—	2	8	no	—
76	C₂×D₄×C₂₃	—	4	8	no	—
77	C₂×D₄×C₂₃	—	4	16	no	—
78	C₂×D₄×C₂₃	—	4	8	no	—
79	C₂×D₄×C₂₃	C₂⁴	1	8	yes	—
80	C₂²×C₄×C₂₃	—	2	2	no	—
81	C₂²×C₄×C₂₃	—	2	2	no	—
82	C₂²×C₄×C₂₃	—	2	4	no	—
83	C₂²×C₄×C₂₃	—	2	16	no	—
84	C₂²×C₄×C₂₃	—	4	2	no	—
85	C₂²×C₄×C₂₃	—	4	16	no	—
86	C₂²×C₄×C₂₃	D₈	1	8	yes	complemented
87	C₂²×C₄×C₂₃	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₂₃	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₂₃	C₂×D₄	1	4	yes	—
91	C₂²×C₄×C₂₃	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₂₃	C₂×D₄	1	4	yes	—
93	C₂²×C₄×C₂₃	C₂⁴	1	2	yes	—
94	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
95	D₈×C₂₃	—	4	16	no	—
96	C₂×C₈×C₂₃	—	2	8	no	—
97	C₂×C₈×C₂₃	—	4	8	no	—
98	C₂×C₈×C₂₃	C₂⁴	1	8	yes	—
99	C₄⋊C₄×C₂₃	—	2	8	no	—
100	C₄⋊C₄×C₂₃	—	2	4	no	—
101	C₄⋊C₄×C₂₃	C₂⁴	1	8	yes	—
102	C₂²⋊C₄×C₂₃	—	2	16	no	—
103	C₂²⋊C₄×C₂₃	—	2	16	no	—
104	C₄²×C₂₃	C₂×D₄	1	8	yes	—
105	C₄²×C₂₃	C₂×D₄	1	4	yes	—
106	C₄²×C₂₃	C₂⁴	1	4	yes	—
107	C₂×#3245	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
108	C₂³×C₂₃	—	2	2	no	—
109	C₂³×C₂₃	—	2	2	no	—
110	C₂³×C₂₃	—	2	8	no	—
111	C₂³×C₂₃	—	4	8	no	—
112	C₂³×C₂₃	—	4	8	no	—
113	C₂³×C₂₃	—	4	8	no	—
114	C₂³×C₂₃	C₂×D₈	1	4	yes	—
115	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
116	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
117	Q₈×C₂₃	—	4	16	no	—
118	D₄×C₂₃	—	2	8	no	—
119	D₄×C₂₃	—	2	8	no	—
120	D₄×C₂₃	—	4	16	no	—
121	D₄×C₂₃	—	4	32	no	—
122	D₄×C₂₃	—	4	8	no	—
123	D₄×C₂₃	—	4	16	no	—
124	C₂×C₄×C₂₃	—	2	2	no	—
125	C₂×C₄×C₂₃	—	2	4	no	—
126	C₂×C₄×C₂₃	—	2	4	no	—
127	C₂×C₄×C₂₃	—	2	2	no	—
128	C₂×C₄×C₂₃	—	2	2	no	—
129	C₂×C₄×C₂₃	—	2	8	no	—
130	C₂×C₄×C₂₃	—	4	4	no	—
131	C₂×C₄×C₂₃	—	4	8	no	—
132	C₂×C₄×C₂₃	—	4	32	no	—
133	C₂×C₄×C₂₃	C₂×D₈	1	8	yes	—
134	C₂×C₄×C₂₃	C₂×D₈	1	16	yes	complemented
135	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
136	C₂×C₄×C₂₃	C₂²×D₄	1	4	yes	—
137	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
138	C₂×C₄×C₂₃	C₂²×D₄	1	4	yes	—
139	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
140	C₂×C₄×C₂₃	2₋¹⁺⁴	1	2	yes	—
141	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
142	C₈×C₂₃	—	2	8	no	—
143	C₂×#532	C₂×C₂₃	1	2	yes	complemented
144	#3245	C₂×C₂₃	1	16	yes	direct product factor
145	C₂×#474	C₂×C₂₃	1	4	yes	complemented
146	C₂×#466	C₂×C₂₃	1	4	yes	complemented
147	C₂×#459	C₂×C₂₃	1	4	yes	complemented
148	C₂²×C₄⋊C₈	C₂×C₂₃	1	1	yes	characteristic, complemented
149	C₂²×C₂₃	—	2	2	no	—
150	C₂²×C₂₃	—	2	8	no	—
151	C₂²×C₂₃	—	2	2	no	—
152	C₂²×C₂₃	—	4	8	no	—
153	C₂²×C₂₃	—	4	8	no	—
154	C₂²×C₂₃	—	4	8	no	—
155	C₂²×C₂₃	—	8	16	no	—
156	C₂²×C₂₃	#537	1	2	yes	—
157	C₂²×C₂₃	C₂²×D₈	1	4	yes	—
158	C₂²×C₂₃	C₂²×D₈	1	2	yes	—
159	C₂²×C₂₃	#575	1	2	yes	—
160	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
161	C₄×C₂₃	—	2	2	no	—
162	C₄×C₂₃	—	2	4	no	—
163	C₄×C₂₃	—	4	8	no	—
164	C₄×C₂₃	#537	1	2	yes	—
165	C₄×C₂₃	C₂²×D₈	1	8	yes	—
166	C₄×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
167	C₄×C₂₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
168	C₂²×#41	—	2	2	no	—
169	C₂²×D₈	C₂²×C₂₃	1	4	yes	—
170	C₂³×C₈	C₂²×C₂₃	1	2	yes	—
171	#532	—	2	8	no	—
172	#532	C₂²×C₂₃	1	16	yes	complemented
173	C₂×C₄⋊Q₈	C₂²×C₂₃	1	2	yes	—
174	C₂×#127	C₂²×C₂₃	1	2	yes	—
175	C₂×#124	—	2	2	no	—
176	C₂×#121	—	2	2	no	—
177	C₂×#121	C₂²×C₂₃	1	4	yes	—
178	C₂×C₄×D₄	—	2	2	no	—
179	C₂×C₄×D₄	C₂²×C₂₃	1	4	yes	—
180	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic
181	#474	C₂²×C₂₃	1	32	yes	complemented
182	#466	C₂²×C₂₃	1	32	yes	complemented
183	#459	C₂²×C₂₃	1	32	yes	complemented
184	C₂×#107	C₂²×C₂₃	1	4	yes	—
185	C₂×C₄⋊C₈	C₂²×C₂₃	1	4	yes	—
186	C₂×C₄⋊C₈	C₂²×C₂₃	1	8	yes	complemented
187	C₂×#102	C₂²×C₂₃	1	8	yes	—
188	C₂×C₂₃	—	2	4	no	—
189	C₂×C₂₃	—	8	8	no	—
190	C₂×C₂₃	#3245	1	4	yes	direct product factor
191	C₂×C₂₃	C₂×#537	1	1	yes	characteristic
192	C₂×C₂₃	C₂³×D₈	1	1	yes	characteristic
193	C₂×C₂₃	C₂×#575	1	1	yes	characteristic
194	C₂×#41	—	2	16	no	—
195	C₂×#41	—	4	16	no	—
196	C₂²×Q₈	—	2	2	no	—
197	C₂²×D₄	—	2	4	no	—
198	C₂²×D₄	—	2	2	no	—
199	C₂²×D₄	—	2	2	no	—
200	C₂²×D₄	C₂³×C₂₃	1	4	yes	—
201	C₂³×C₄	—	2	4	no	—
202	C₂³×C₄	D₄×C₂₃	1	1	yes	characteristic
203	C₂³×C₄	D₄×C₂₃	1	1	yes	characteristic
204	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
205	C₂×D₈	—	4	8	no	—
206	C₂×D₈	C₂³×C₂₃	1	16	yes	—
207	C₂²×C₈	—	4	4	no	—
208	C₂²×C₈	C₂³×C₂₃	1	4	yes	—
209	C₂²×C₈	C₂³×C₂₃	1	8	yes	—
210	C₄⋊Q₈	—	2	4	no	—
211	C₄⋊Q₈	C₂³×C₂₃	1	8	yes	—
212	#127	—	2	4	no	—
213	#127	C₂³×C₂₃	1	8	yes	—
214	#124	—	2	16	no	—
215	#121	—	2	16	no	—
216	#121	—	2	8	no	—
217	#121	C₂³×C₂₃	1	16	yes	—
218	C₄×D₄	—	2	16	no	—
219	C₄×D₄	—	2	8	no	—
220	C₄×D₄	C₂³×C₂₃	1	16	yes	—
221	C₂×C₄⋊C₄	—	2	2	no	—
222	C₂×C₄⋊C₄	C₂³×C₂₃	1	4	yes	—
223	C₂×C₂²⋊C₄	—	2	4	no	—
224	C₂×C₂²⋊C₄	—	2	4	no	—
225	C₂×C₄²	D₄×C₂₃	1	2	yes	—
226	C₂×C₄²	D₄×C₂₃	1	4	yes	—
227	C₂×C₄²	C₂³×C₂₃	1	2	yes	—
228	C₂×C₄²	C₂³×C₂₃	1	4	yes	—
229	#107	C₂³×C₂₃	1	16	yes	—
230	C₄⋊C₈	C₂³×C₂₃	1	16	yes	—
231	#102	C₂³×C₂₃	1	32	yes	—
232	C₂₃	C₂×#3245	1	1	yes	characteristic, direct product factor, Sylow
233	C₂⁴	—	2	4	no	—
234	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
235	#41	—	4	64	no	—
236	C₂×Q₈	—	2	8	no	—
237	C₂×Q₈	—	4	8	no	—
238	C₂×D₄	—	2	16	no	—
239	C₂×D₄	—	2	4	no	—
240	C₂×D₄	—	2	8	no	—
241	C₂×D₄	—	2	8	no	—
242	C₂×D₄	—	2	8	no	—
243	C₂×D₄	—	2	8	no	—
244	C₂×D₄	—	4	8	no	—
245	C₂×D₄	—	4	16	no	—
246	C₂×D₄	—	4	8	no	—
247	C₂×D₄	C₂⁴×C₂₃	1	8	yes	—
248	C₂²×C₄	—	2	2	no	—
249	C₂²×C₄	—	2	2	no	—
250	C₂²×C₄	—	2	4	no	—
251	C₂²×C₄	—	2	16	no	—
252	C₂²×C₄	—	4	2	no	—
253	C₂²×C₄	—	4	16	no	—
254	C₂²×C₄	D₈×C₂₃	1	8	yes	complemented
255	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
256	C₂²×C₄	C₂×D₄×C₂₃	1	2	yes	—
257	C₂²×C₄	C₂×D₄×C₂₃	1	2	yes	—
258	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	—
259	C₂²×C₄	C₂×D₄×C₂₃	1	2	yes	—
260	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	—
261	C₂²×C₄	C₂⁴×C₂₃	1	2	yes	—
262	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
263	D₈	—	4	16	no	—
264	C₂×C₈	—	2	8	no	—
265	C₂×C₈	—	4	8	no	—
266	C₂×C₈	C₂⁴×C₂₃	1	8	yes	—
267	C₄⋊C₄	—	2	8	no	—
268	C₄⋊C₄	—	2	4	no	—
269	C₄⋊C₄	C₂⁴×C₂₃	1	8	yes	—
270	C₂²⋊C₄	—	2	16	no	—
271	C₂²⋊C₄	—	2	16	no	—
272	C₄²	C₂×D₄×C₂₃	1	8	yes	—
273	C₄²	C₂×D₄×C₂₃	1	4	yes	—
274	C₄²	C₂⁴×C₂₃	1	4	yes	—
275	C₂³	—	2	2	no	—
276	C₂³	—	2	2	no	—
277	C₂³	—	2	8	no	—
278	C₂³	—	4	8	no	—
279	C₂³	—	4	8	no	—
280	C₂³	—	4	8	no	—
281	C₂³	C₂×D₈×C₂₃	1	4	yes	—
282	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
283	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
284	Q₈	—	4	16	no	—
285	D₄	—	2	8	no	—
286	D₄	—	2	8	no	—
287	D₄	—	4	16	no	—
288	D₄	—	4	32	no	—
289	D₄	—	4	16	no	—
290	D₄	—	4	8	no	—
291	C₂×C₄	—	2	4	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	4	no	—
296	C₂×C₄	—	2	8	no	—
297	C₂×C₄	—	4	4	no	—
298	C₂×C₄	—	4	8	no	—
299	C₂×C₄	—	4	32	no	—
300	C₂×C₄	C₂×D₈×C₂₃	1	8	yes	—
301	C₂×C₄	C₂×D₈×C₂₃	1	16	yes	complemented
302	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
303	C₂×C₄	C₂²×D₄×C₂₃	1	4	yes	—
304	C₂×C₄	C₂²×D₄×C₂₃	1	4	yes	—
305	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
306	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
307	C₂×C₄	C₂₃×2₋¹⁺⁴	1	2	yes	—
308	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
309	C₈	—	2	8	no	—
310	C₂²	—	2	2	no	—
311	C₂²	—	2	8	no	—
312	C₂²	—	2	2	no	—
313	C₂²	—	4	8	no	—
314	C₂²	—	4	8	no	—
315	C₂²	—	4	8	no	—
316	C₂²	—	8	16	no	—
317	C₂²	C₂₃×#537	1	2	yes	—
318	C₂²	C₂²×D₈×C₂₃	1	4	yes	—
319	C₂²	C₂²×D₈×C₂₃	1	2	yes	—
320	C₂²	C₂₃×#575	1	2	yes	—
321	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
322	C₄	—	2	2	no	—
323	C₄	—	2	4	no	—
324	C₄	—	4	8	no	—
325	C₄	C₂₃×#537	1	2	yes	—
326	C₄	C₂²×D₈×C₂₃	1	8	yes	—
327	C₄	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
328	C₄	C₂×C₂₃×2₋¹⁺⁴	1	1	yes	characteristic
329	C₂	—	2	4	no	—
330	C₂	—	8	8	no	—
331	C₂	C₂₃×#3245	1	4	yes	direct product factor
332	C₂	C₂×C₂₃×#537	1	1	yes	characteristic
333	C₂	C₂³×D₈×C₂₃	1	1	yes	characteristic
334	C₂	C₂×C₂₃×#575	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₂₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₃ ◁ C₂²×C₄²×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₂₃×#532	C₂	semidirect
2. C₂₃×#3245	C₂	direct (N × H)
3. C₂×C₂₃×#474	C₂	semidirect
4. C₂×C₂₃×#466	C₂	semidirect
5. C₂×C₂₃×#459	C₂	semidirect
6. C₂²×C₂₃×C₄⋊C₈	C₂	semidirect
11. C₂₃×#532	C₂²	semidirect
20. C₂₃×#474	C₂²	semidirect
21. C₂₃×#466	C₂²	semidirect
22. C₂₃×#459	C₂²	semidirect
25. C₂×C₂₃×C₄⋊C₈	C₂²	semidirect
86. C₂²×C₄×C₂₃	D₈	semidirect
107. C₂×#3245	C₂₃	direct (N × H)
134. C₂×C₄×C₂₃	C₂×D₈	semidirect
143. C₂×#532	C₂×C₂₃	semidirect
144. #3245	C₂×C₂₃	direct (N × H)
145. C₂×#474	C₂×C₂₃	semidirect
146. C₂×#466	C₂×C₂₃	semidirect
147. C₂×#459	C₂×C₂₃	semidirect
148. C₂²×C₄⋊C₈	C₂×C₂₃	semidirect
172. #532	C₂²×C₂₃	semidirect
181. #474	C₂²×C₂₃	semidirect
182. #466	C₂²×C₂₃	semidirect
183. #459	C₂²×C₂₃	semidirect
186. C₂×C₄⋊C₈	C₂²×C₂₃	semidirect
190. C₂×C₂₃	#3245	direct (N × H)
232. C₂₃	C₂×#3245	direct (N × H)
254. C₂²×C₄	D₈×C₂₃	semidirect
301. C₂×C₄	C₂×D₈×C₂₃	semidirect
331. C₂	C₂₃×#3245	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₂₃×#532	2
C₂₃×#3245	2
C₂×C₂₃×#474	2
C₂×C₂₃×#466	2
C₂×C₂₃×#459	2
C₂²×C₂₃×C₄⋊C₈	2
C₂×#3245	23

Subgroups — C2×C23×#3245 #19208520

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₂₃×#3245 #19208520