Subgroups — C₂×C₂₃×#3359 #19208922

Order 5888.

2058 conjugacy classes of subgroups.

The subgroup lattice has 332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄×Q₈×C₂₃	C₂	1	1	yes	maximal, characteristic
3	C₂₃×#3359	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₂₃×#487	C₂	1	3	yes	maximal, complemented
5	C₂×C₂₃×#475	C₂	1	3	yes	maximal, complemented
6	C₂×C₂₃×#461	C₂	1	3	yes	maximal
7	C₂×C₈×Q₈×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×SD₁₆×C₂₃	C₂	1	3	yes	maximal
9	C₂³×Q₈×C₂₃	—	2	1	no	—
10	C₂²×SD₁₆×C₂₃	C₂²	1	3	yes	—
11	C₂₃×#557	—	2	4	no	—
12	C₂₃×#557	C₂²	1	8	yes	complemented
13	D₄×Q₈×C₂₃	—	2	4	no	—
14	D₄×Q₈×C₂₃	C₂²	1	8	yes	—
15	C₂×C₂₃×C₄⋊Q₈	C₂²	1	3	yes	—
16	C₂×C₂₃×C₄⋊Q₈	C₂²	1	3	yes	—
17	C₂×C₂₃×#125	—	2	3	no	—
18	C₂×C₂₃×C₂²⋊Q₈	—	2	3	no	—
19	C₂×C₄×Q₈×C₂₃	—	2	1	no	—
20	C₂×C₄×Q₈×C₂₃	C₂²	1	3	yes	—
21	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
22	C₂×C₄×D₄×C₂₃	C₂²	1	3	yes	—
23	C₂₃×#487	C₂²	1	24	yes	complemented
24	C₂₃×#475	C₂²	1	24	yes	complemented
25	C₂₃×#461	C₂²	1	24	yes	—
26	C₈×Q₈×C₂₃	C₂²	1	8	yes	complemented
27	C₄×SD₁₆×C₂₃	C₂²	1	24	yes	—
28	C₂×C₂₃×#106	C₂²	1	3	yes	—
29	C₂×C₂₃×C₄⋊C₈	C₂²	1	3	yes	—
30	C₂×C₂₃×#103	C₂²	1	3	yes	—
31	C₂×C₂₃×#103	C₂²	1	6	yes	—
32	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₈×C₂₃	C₂²	1	3	yes	—
34	C₂²×Q₈×C₂₃	—	2	8	no	—
35	C₂²×Q₈×C₂₃	—	2	3	no	—
36	C₂²×Q₈×C₂₃	—	4	8	no	—
37	C₂²×Q₈×C₂₃	D₄	1	1	yes	characteristic
38	C₂²×Q₈×C₂₃	C₂³	1	3	yes	—
39	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
40	C₂³×C₄×C₂₃	—	2	3	no	—
41	C₂×SD₁₆×C₂₃	—	2	12	no	—
42	C₂×SD₁₆×C₂₃	C₂³	1	12	yes	—
43	C₂²×C₈×C₂₃	C₂³	1	3	yes	—
44	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
45	C₂₃×C₄⋊Q₈	—	2	6	no	—
46	C₂₃×C₄⋊Q₈	—	2	6	no	—
47	C₂₃×C₄⋊Q₈	C₂³	1	12	yes	—
48	C₂₃×C₄⋊Q₈	C₂³	1	12	yes	—
49	C₂₃×#125	—	2	24	no	—
50	C₂₃×C₂²⋊Q₈	—	2	24	no	—
51	C₄×Q₈×C₂₃	—	2	8	no	—
52	C₄×Q₈×C₂₃	—	2	6	no	—
53	C₄×Q₈×C₂₃	D₄	1	4	yes	—
54	C₄×Q₈×C₂₃	C₂³	1	12	yes	—
55	C₄×Q₈×C₂₃	C₂³	1	4	yes	—
56	C₄×D₄×C₂₃	—	2	6	no	—
57	C₄×D₄×C₂₃	C₂³	1	12	yes	—
58	C₂×C₄⋊C₄×C₂₃	—	2	3	no	—
59	C₂×C₄⋊C₄×C₂₃	—	2	3	no	—
60	C₂×C₄⋊C₄×C₂₃	—	2	3	no	—
61	C₂×C₄⋊C₄×C₂₃	—	2	3	no	—
62	C₂×C₄⋊C₄×C₂₃	D₄	1	3	yes	—
63	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
64	C₂×C₄⋊C₄×C₂₃	C₂³	1	3	yes	—
65	C₂×C₂²⋊C₄×C₂₃	—	2	3	no	—
66	C₂×C₄²×C₂₃	—	2	3	no	—
67	C₂×C₄²×C₂₃	C₂³	1	3	yes	—
68	C₂₃×#106	C₂³	1	12	yes	—
69	C₂₃×C₄⋊C₈	C₂³	1	12	yes	—
70	C₂₃×#103	C₂³	1	12	yes	—
71	C₂₃×#103	C₂³	1	24	yes	—
72	C₂₃×#102	C₂³	1	4	yes	—
73	C₄×C₈×C₂₃	C₂³	1	12	yes	—
74	C₂⁴×C₂₃	—	2	1	no	—
75	C₂×Q₈×C₂₃	—	2	3	no	—
76	C₂×Q₈×C₂₃	—	2	12	no	—
77	C₂×Q₈×C₂₃	—	2	6	no	—
78	C₂×Q₈×C₂₃	—	2	6	no	—
79	C₂×Q₈×C₂₃	—	4	32	no	—
80	C₂×Q₈×C₂₃	—	4	12	no	—
81	C₂×Q₈×C₂₃	SD₁₆	1	8	yes	complemented
82	C₂×Q₈×C₂₃	C₂×D₄	1	4	yes	—
83	C₂×Q₈×C₂₃	C₂⁴	1	6	yes	—
84	C₂×D₄×C₂₃	—	2	1	no	—
85	C₂×D₄×C₂₃	—	2	2	no	—
86	C₂×D₄×C₂₃	#41	1	4	yes	—
87	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
88	C₂²×C₄×C₂₃	—	2	1	no	—
89	C₂²×C₄×C₂₃	—	2	3	no	—
90	C₂²×C₄×C₂₃	—	2	3	no	—
91	C₂²×C₄×C₂₃	—	2	12	no	—
92	C₂²×C₄×C₂₃	—	4	12	no	—
93	C₂²×C₄×C₂₃	C₂×D₄	1	3	yes	—
94	C₂²×C₄×C₂₃	C₂×D₄	1	3	yes	—
95	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
96	SD₁₆×C₂₃	—	2	24	no	—
97	C₂×C₈×C₂₃	—	2	6	no	—
98	C₂×C₈×C₂₃	—	2	2	no	—
99	C₂×C₈×C₂₃	C₂⁴	1	2	yes	—
100	C₂×C₈×C₂₃	C₂⁴	1	6	yes	—
101	C₄⋊C₄×C₂₃	—	2	12	no	—
102	C₄⋊C₄×C₂₃	—	2	12	no	—
103	C₄⋊C₄×C₂₃	—	2	12	no	—
104	C₄⋊C₄×C₂₃	—	2	12	no	—
105	C₄⋊C₄×C₂₃	—	2	3	no	—
106	C₄⋊C₄×C₂₃	—	2	1	no	—
107	C₄⋊C₄×C₂₃	C₂×D₄	1	12	yes	—
108	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
109	C₄⋊C₄×C₂₃	C₂⁴	1	6	yes	—
110	C₂²⋊C₄×C₂₃	—	2	12	no	—
111	C₄²×C₂₃	—	2	12	no	—
112	C₄²×C₂₃	C₂×D₄	1	6	yes	—
113	C₄²×C₂₃	C₂⁴	1	6	yes	—
114	C₂×#3359	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
115	C₂³×C₂₃	—	2	4	no	—
116	C₂³×C₂₃	—	2	2	no	—
117	C₂³×C₂₃	—	4	2	no	—
118	C₂³×C₂₃	—	4	2	no	—
119	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
120	Q₈×C₂₃	—	2	6	no	—
121	Q₈×C₂₃	—	2	6	no	—
122	Q₈×C₂₃	—	4	6	no	—
123	Q₈×C₂₃	—	4	24	no	—
124	Q₈×C₂₃	C₂×SD₁₆	1	16	yes	complemented
125	D₄×C₂₃	—	2	4	no	—
126	D₄×C₂₃	—	2	2	no	—
127	D₄×C₂₃	C₂×#41	1	4	yes	—
128	C₂×C₄×C₂₃	—	2	6	no	—
129	C₂×C₄×C₂₃	—	2	2	no	—
130	C₂×C₄×C₂₃	—	2	6	no	—
131	C₂×C₄×C₂₃	—	2	6	no	—
132	C₂×C₄×C₂₃	—	4	6	no	—
133	C₂×C₄×C₂₃	—	4	6	no	—
134	C₂×C₄×C₂₃	—	4	2	no	—
135	C₂×C₄×C₂₃	—	4	24	no	—
136	C₂×C₄×C₂₃	C₂×SD₁₆	1	12	yes	—
137	C₂×C₄×C₂₃	C₂²×D₄	1	6	yes	—
138	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
139	C₂×C₄×C₂₃	C₂²×D₄	1	6	yes	—
140	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
141	C₂×C₄×C₂₃	2₋¹⁺⁴	1	2	yes	—
142	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
143	C₈×C₂₃	—	2	6	no	—
144	C₈×C₂₃	—	2	2	no	—
145	C₂×#557	C₂×C₂₃	1	1	yes	characteristic, complemented
146	C₂×D₄×Q₈	C₂×C₂₃	1	1	yes	characteristic
147	#3359	C₂×C₂₃	1	16	yes	direct product factor
148	C₂×#487	C₂×C₂₃	1	3	yes	complemented
149	C₂×#475	C₂×C₂₃	1	3	yes	complemented
150	C₂×#461	C₂×C₂₃	1	3	yes	—
151	C₂×C₈×Q₈	C₂×C₂₃	1	1	yes	characteristic, complemented
152	C₂×C₄×SD₁₆	C₂×C₂₃	1	3	yes	—
153	C₂²×C₂₃	—	2	4	no	—
154	C₂²×C₂₃	—	4	8	no	—
155	C₂²×C₂₃	—	4	2	no	—
156	C₂²×C₂₃	—	4	2	no	—
157	C₂²×C₂₃	#548	1	2	yes	—
158	C₂²×C₂₃	C₂²×SD₁₆	1	2	yes	—
159	C₂²×C₂₃	#578	1	2	yes	—
160	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
161	C₄×C₂₃	—	2	6	no	—
162	C₄×C₂₃	—	4	6	no	—
163	C₄×C₂₃	—	4	6	no	—
164	C₄×C₂₃	—	4	2	no	—
165	C₄×C₂₃	#548	1	2	yes	—
166	C₄×C₂₃	C₂²×SD₁₆	1	12	yes	—
167	C₄×C₂₃	C₂²×#41	1	1	yes	characteristic
168	C₄×C₂₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
169	C₂³×Q₈	—	2	1	no	—
170	C₂²×SD₁₆	C₂²×C₂₃	1	3	yes	—
171	#557	—	2	4	no	—
172	#557	C₂²×C₂₃	1	8	yes	complemented
173	D₄×Q₈	—	2	4	no	—
174	D₄×Q₈	C₂²×C₂₃	1	8	yes	—
175	C₂×C₄⋊Q₈	C₂²×C₂₃	1	3	yes	—
176	C₂×C₄⋊Q₈	C₂²×C₂₃	1	3	yes	—
177	C₂×#125	—	2	3	no	—
178	C₂×C₂²⋊Q₈	—	2	3	no	—
179	C₂×C₄×Q₈	—	2	1	no	—
180	C₂×C₄×Q₈	C₂²×C₂₃	1	3	yes	—
181	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
182	C₂×C₄×D₄	C₂²×C₂₃	1	3	yes	—
183	#487	C₂²×C₂₃	1	24	yes	complemented
184	#475	C₂²×C₂₃	1	24	yes	complemented
185	#461	C₂²×C₂₃	1	24	yes	—
186	C₈×Q₈	C₂²×C₂₃	1	8	yes	complemented
187	C₄×SD₁₆	C₂²×C₂₃	1	24	yes	—
188	C₂×#106	C₂²×C₂₃	1	3	yes	—
189	C₂×C₄⋊C₈	C₂²×C₂₃	1	3	yes	—
190	C₂×#103	C₂²×C₂₃	1	6	yes	—
191	C₂×#103	C₂²×C₂₃	1	3	yes	—
192	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic
193	C₂×C₄×C₈	C₂²×C₂₃	1	3	yes	—
194	C₂×C₂₃	—	4	4	no	—
195	C₂×C₂₃	#3359	1	4	yes	direct product factor
196	C₂×C₂₃	C₂×#548	1	1	yes	characteristic
197	C₂×C₂₃	C₂³×SD₁₆	1	1	yes	characteristic
198	C₂×C₂₃	C₂×#578	1	1	yes	characteristic
199	C₂²×Q₈	—	2	8	no	—
200	C₂²×Q₈	—	2	3	no	—
201	C₂²×Q₈	—	4	8	no	—
202	C₂²×Q₈	D₄×C₂₃	1	1	yes	characteristic
203	C₂²×Q₈	C₂³×C₂₃	1	3	yes	—
204	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
205	C₂³×C₄	—	2	3	no	—
206	C₂×SD₁₆	—	2	12	no	—
207	C₂×SD₁₆	C₂³×C₂₃	1	12	yes	—
208	C₂²×C₈	C₂³×C₂₃	1	3	yes	—
209	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
210	C₄⋊Q₈	—	2	6	no	—
211	C₄⋊Q₈	—	2	6	no	—
212	C₄⋊Q₈	C₂³×C₂₃	1	12	yes	—
213	C₄⋊Q₈	C₂³×C₂₃	1	12	yes	—
214	#125	—	2	24	no	—
215	C₂²⋊Q₈	—	2	24	no	—
216	C₄×Q₈	—	2	8	no	—
217	C₄×Q₈	—	2	6	no	—
218	C₄×Q₈	D₄×C₂₃	1	4	yes	—
219	C₄×Q₈	C₂³×C₂₃	1	12	yes	—
220	C₄×Q₈	C₂³×C₂₃	1	4	yes	—
221	C₄×D₄	—	2	6	no	—
222	C₄×D₄	C₂³×C₂₃	1	12	yes	—
223	C₂×C₄⋊C₄	—	2	3	no	—
224	C₂×C₄⋊C₄	—	2	3	no	—
225	C₂×C₄⋊C₄	—	2	3	no	—
226	C₂×C₄⋊C₄	—	2	3	no	—
227	C₂×C₄⋊C₄	D₄×C₂₃	1	3	yes	—
228	C₂×C₄⋊C₄	C₂³×C₂₃	1	3	yes	—
229	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
230	C₂×C₂²⋊C₄	—	2	3	no	—
231	C₂×C₄²	—	2	3	no	—
232	C₂×C₄²	C₂³×C₂₃	1	3	yes	—
233	#106	C₂³×C₂₃	1	12	yes	—
234	C₄⋊C₈	C₂³×C₂₃	1	12	yes	—
235	#103	C₂³×C₂₃	1	12	yes	—
236	#103	C₂³×C₂₃	1	24	yes	—
237	#102	C₂³×C₂₃	1	4	yes	—
238	C₄×C₈	C₂³×C₂₃	1	12	yes	—
239	C₂₃	C₂×#3359	1	1	yes	characteristic, direct product factor, Sylow
240	C₂⁴	—	2	1	no	—
241	C₂×Q₈	—	2	3	no	—
242	C₂×Q₈	—	2	12	no	—
243	C₂×Q₈	—	2	6	no	—
244	C₂×Q₈	—	2	6	no	—
245	C₂×Q₈	—	4	32	no	—
246	C₂×Q₈	—	4	12	no	—
247	C₂×Q₈	SD₁₆×C₂₃	1	8	yes	complemented
248	C₂×Q₈	C₂×D₄×C₂₃	1	4	yes	—
249	C₂×Q₈	C₂⁴×C₂₃	1	6	yes	—
250	C₂×D₄	—	2	1	no	—
251	C₂×D₄	—	2	2	no	—
252	C₂×D₄	#41×C₂₃	1	4	yes	—
253	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
254	C₂²×C₄	—	2	1	no	—
255	C₂²×C₄	—	2	3	no	—
256	C₂²×C₄	—	2	3	no	—
257	C₂²×C₄	—	2	12	no	—
258	C₂²×C₄	—	4	12	no	—
259	C₂²×C₄	C₂×D₄×C₂₃	1	3	yes	—
260	C₂²×C₄	C₂×D₄×C₂₃	1	3	yes	—
261	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
262	SD₁₆	—	2	24	no	—
263	C₂×C₈	—	2	6	no	—
264	C₂×C₈	—	2	2	no	—
265	C₂×C₈	C₂⁴×C₂₃	1	2	yes	—
266	C₂×C₈	C₂⁴×C₂₃	1	6	yes	—
267	C₄⋊C₄	—	2	12	no	—
268	C₄⋊C₄	—	2	12	no	—
269	C₄⋊C₄	—	2	12	no	—
270	C₄⋊C₄	—	2	12	no	—
271	C₄⋊C₄	—	2	3	no	—
272	C₄⋊C₄	—	2	1	no	—
273	C₄⋊C₄	C₂×D₄×C₂₃	1	12	yes	—
274	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
275	C₄⋊C₄	C₂⁴×C₂₃	1	6	yes	—
276	C₂²⋊C₄	—	2	12	no	—
277	C₄²	—	2	12	no	—
278	C₄²	C₂×D₄×C₂₃	1	6	yes	—
279	C₄²	C₂⁴×C₂₃	1	6	yes	—
280	C₂³	—	2	4	no	—
281	C₂³	—	2	2	no	—
282	C₂³	—	4	2	no	—
283	C₂³	—	4	2	no	—
284	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
285	Q₈	—	2	6	no	—
286	Q₈	—	2	6	no	—
287	Q₈	—	4	6	no	—
288	Q₈	—	4	24	no	—
289	Q₈	C₂×SD₁₆×C₂₃	1	16	yes	complemented
290	D₄	—	2	4	no	—
291	D₄	—	2	2	no	—
292	D₄	C₂×#41×C₂₃	1	4	yes	—
293	C₂×C₄	—	2	6	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	6	no	—
296	C₂×C₄	—	2	6	no	—
297	C₂×C₄	—	4	6	no	—
298	C₂×C₄	—	4	6	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	24	no	—
301	C₂×C₄	C₂×SD₁₆×C₂₃	1	12	yes	—
302	C₂×C₄	C₂²×D₄×C₂₃	1	6	yes	—
303	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
304	C₂×C₄	C₂²×D₄×C₂₃	1	6	yes	—
305	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
306	C₂×C₄	C₂₃×2₋¹⁺⁴	1	2	yes	—
307	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
308	C₈	—	2	6	no	—
309	C₈	—	2	2	no	—
310	C₂²	—	2	4	no	—
311	C₂²	—	4	2	no	—
312	C₂²	—	4	2	no	—
313	C₂²	—	4	8	no	—
314	C₂²	C₂₃×#548	1	2	yes	—
315	C₂²	C₂²×SD₁₆×C₂₃	1	2	yes	—
316	C₂²	C₂₃×#578	1	2	yes	—
317	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
318	C₄	—	2	6	no	—
319	C₄	—	4	6	no	—
320	C₄	—	4	6	no	—
321	C₄	—	4	2	no	—
322	C₄	C₂₃×#548	1	2	yes	—
323	C₄	C₂²×SD₁₆×C₂₃	1	12	yes	—
324	C₄	C₂²×#41×C₂₃	1	1	yes	characteristic
325	C₄	C₂×C₂₃×2₋¹⁺⁴	1	1	yes	characteristic
326	C₂	—	4	4	no	—
327	C₂	C₂₃×#3359	1	4	yes	direct product factor
328	C₂	C₂×C₂₃×#548	1	1	yes	characteristic
329	C₂	C₂³×SD₁₆×C₂₃	1	1	yes	characteristic
330	C₂	C₂×C₂₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₂₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₃
prime radical	C₂²×D₄×C₂₃	C₂³
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₃ ◁ C₂×C₄×Q₈×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₂₃×#557	C₂	semidirect
3. C₂₃×#3359	C₂	direct (N × H)
4. C₂×C₂₃×#487	C₂	semidirect
5. C₂×C₂₃×#475	C₂	semidirect
7. C₂×C₈×Q₈×C₂₃	C₂	semidirect
12. C₂₃×#557	C₂²	semidirect
23. C₂₃×#487	C₂²	semidirect
24. C₂₃×#475	C₂²	semidirect
26. C₈×Q₈×C₂₃	C₂²	semidirect
81. C₂×Q₈×C₂₃	SD₁₆	semidirect
114. C₂×#3359	C₂₃	direct (N × H)
124. Q₈×C₂₃	C₂×SD₁₆	semidirect
145. C₂×#557	C₂×C₂₃	semidirect
147. #3359	C₂×C₂₃	direct (N × H)
148. C₂×#487	C₂×C₂₃	semidirect
149. C₂×#475	C₂×C₂₃	semidirect
151. C₂×C₈×Q₈	C₂×C₂₃	semidirect
172. #557	C₂²×C₂₃	semidirect
183. #487	C₂²×C₂₃	semidirect
184. #475	C₂²×C₂₃	semidirect
186. C₈×Q₈	C₂²×C₂₃	semidirect
195. C₂×C₂₃	#3359	direct (N × H)
239. C₂₃	C₂×#3359	direct (N × H)
247. C₂×Q₈	SD₁₆×C₂₃	semidirect
289. Q₈	C₂×SD₁₆×C₂₃	semidirect
327. C₂	C₂₃×#3359	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×#557	2
C₂×D₄×Q₈×C₂₃	2
C₂₃×#3359	2
C₂×C₂₃×#487	2
C₂×C₂₃×#475	2
C₂×C₂₃×#461	2
C₂×C₈×Q₈×C₂₃	2
C₂×C₄×SD₁₆×C₂₃	2
C₂×#3359	23

Subgroups — C2×C23×#3359 #19208922

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₂₃×#3359 #19208922