Subgroups — #15686726

Order 2944.

1556 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#67288	C₂	1	1	yes	maximal, characteristic, complemented
2	#13092995	C₂	1	4	yes	maximal, complemented
3	#13092991	C₂	1	2	yes	maximal, complemented
4	#13092988	C₂	1	2	yes	maximal, complemented
5	#13092984	C₂	1	2	yes	maximal, complemented
6	#13092981	C₂	1	2	yes	maximal, complemented
7	#13092976	C₂	1	4	yes	maximal, complemented
8	#13092963	C₂	1	4	yes	maximal, complemented
9	#13092928	C₂	1	4	yes	maximal, complemented
10	#13092924	C₂	1	4	yes	maximal, complemented
11	C₂×#10625097	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#41×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#41×C₂₃	—	2	8	no	—
14	C₂×#41×C₂₃	C₂²	1	2	yes	—
15	C₂×#41×C₂₃	C₂²	1	2	yes	—
16	C₂×#41×C₂₃	C₂²	1	2	yes	complemented
17	C₂×#41×C₂₃	C₂²	1	2	yes	complemented
18	C₂²×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
19	C₂²×D₄×C₂₃	C₂²	1	2	yes	—
20	C₂²×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
21	C₂³×C₄×C₂₃	C₂²	1	1	yes	characteristic
22	C₂³×C₄×C₂₃	C₂²	1	2	yes	complemented
23	C₂²×C₂²⋊D₂₃	C₂²	1	2	yes	—
24	C₂×#67288	—	2	8	no	—
25	C₂×#67288	C₂²	1	2	yes	—
26	C₂×#67288	C₂²	1	2	yes	—
27	C₂×#67288	C₂²	1	2	yes	complemented
28	C₂×#67288	C₂²	1	2	yes	complemented
29	C₂²×D₉₂	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₄×D₂₃	C₂²	1	2	yes	complemented
31	C₂²×Dic₄₆	C₂²	1	1	yes	characteristic, complemented
32	#10625124	C₂²	1	8	yes	complemented
33	C₂×C₂²⋊Dic₂₃	C₂²	1	2	yes	—
34	#10625118	C₂²	1	4	yes	complemented
35	#10625117	C₂²	1	8	yes	complemented
36	#10625115	C₂²	1	4	yes	complemented
37	#10625111	C₂²	1	4	yes	complemented
38	#10625110	C₂²	1	16	yes	complemented
39	#10625109	C₂²	1	8	yes	complemented
40	#10625108	C₂²	1	8	yes	complemented
41	#10625107	C₂²	1	4	yes	complemented
42	#10625106	C₂²	1	8	yes	complemented
43	#10625101	C₂²	1	8	yes	complemented
44	#10625100	C₂²	1	8	yes	complemented
45	C₄×C₂²⋊D₂₃	C₂²	1	16	yes	complemented
46	#10625097	C₂²	1	2	yes	complemented
47	#10625097	C₂²	1	2	yes	complemented
48	#10625097	C₂²	1	2	yes	complemented
49	#10625097	C₂²	1	2	yes	complemented
50	C₂×C₄⋊Dic₂₃	C₂²	1	2	yes	complemented
51	#10625095	C₂²	1	8	yes	complemented
52	C₂×C₄×Dic₂₃	C₂²	1	2	yes	complemented
53	C₂⁴×C₂₃	C₂³	1	2	yes	—
54	C₂⁴×C₂₃	C₂³	1	1	yes	characteristic
55	C₂³×D₂₃	C₂³	1	2	yes	—
56	#41×C₂₃	—	2	8	no	—
57	#41×C₂₃	—	2	8	no	—
58	#41×C₂₃	—	2	8	no	—
59	#41×C₂₃	—	2	8	no	—
60	C₂×Q₈×C₂₃	—	2	4	no	—
61	C₂×Q₈×C₂₃	C₂³	1	2	yes	—
62	C₂×Q₈×C₂₃	C₂³	1	2	yes	—
63	C₂×D₄×C₂₃	—	2	8	no	—
64	C₂×D₄×C₂₃	—	2	4	no	—
65	C₂×D₄×C₂₃	C₂³	1	4	yes	—
66	C₂×D₄×C₂₃	C₂³	1	2	yes	—
67	C₂×D₄×C₂₃	C₂³	1	2	yes	—
68	C₂×D₄×C₂₃	C₂³	1	4	yes	—
69	C₂²×C₄×C₂₃	—	2	8	no	—
70	C₂²×C₄×C₂₃	D₄	1	8	yes	complemented
71	C₂²×C₄×C₂₃	C₂³	1	4	yes	—
72	C₂²×C₄×C₂₃	C₂³	1	4	yes	—
73	C₂²×C₄×C₂₃	C₂³	1	2	yes	—
74	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
75	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
76	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
77	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
78	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
79	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
80	C₂×C₂²⋊D₂₃	—	2	8	no	—
81	C₂×C₂²⋊D₂₃	C₂³	1	4	yes	—
82	C₂×C₂²⋊D₂₃	C₂³	1	4	yes	—
83	C₂×C₂²⋊D₂₃	C₂³	1	16	yes	—
84	C₂²×Dic₂₃	C₂³	1	2	yes	—
85	C₂²×Dic₂₃	C₂³	1	4	yes	—
86	#67288	—	2	8	no	—
87	#67288	—	2	8	no	—
88	#67288	—	2	8	no	—
89	#67288	—	2	8	no	—
90	C₂×D₉₂	—	2	4	no	—
91	C₂×D₉₂	C₂³	1	2	yes	—
92	C₂×D₉₂	C₂³	1	2	yes	—
93	C₂×C₄×D₂₃	—	2	8	no	—
94	C₂×C₄×D₂₃	C₂³	1	4	yes	—
95	C₂×C₄×D₂₃	C₂³	1	4	yes	—
96	C₂×Dic₄₆	—	2	4	no	—
97	C₂×Dic₄₆	C₂³	1	2	yes	—
98	C₂×Dic₄₆	C₂³	1	2	yes	—
99	C₂²⋊Dic₂₃	C₂³	1	16	yes	—
100	C₂²⋊Dic₂₃	C₂³	1	4	yes	—
101	C₂²⋊Dic₂₃	C₂³	1	4	yes	—
102	(C₂×D₂₃)⋊C₄	C₂³	1	16	yes	—
103	C₄⋊Dic₂₃	C₂³	1	4	yes	—
104	C₄⋊Dic₂₃	C₂³	1	4	yes	—
105	Dic₂₃⋊C₄	C₂³	1	16	yes	—
106	C₄×Dic₂₃	C₂³	1	4	yes	—
107	C₄×Dic₂₃	C₂³	1	4	yes	—
108	C₂³×C₂₃	—	2	4	no	—
109	C₂³×C₂₃	—	4	2	no	—
110	C₂³×C₂₃	—	4	4	no	—
111	C₂³×C₂₃	C₂×D₄	1	4	yes	—
112	C₂³×C₂₃	C₂⁴	1	4	yes	—
113	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
114	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
115	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
116	C₂²×D₂₃	—	2	4	no	—
117	C₂²×D₂₃	—	4	4	no	—
118	C₂²×D₂₃	C₂⁴	1	4	yes	—
119	Q₈×C₂₃	—	2	4	no	—
120	Q₈×C₂₃	—	2	4	no	—
121	D₄×C₂₃	—	2	8	no	—
122	D₄×C₂₃	—	2	8	no	—
123	D₄×C₂₃	—	2	4	no	—
124	D₄×C₂₃	—	2	4	no	—
125	C₂×C₄×C₂₃	—	2	4	no	—
126	C₂×C₄×C₂₃	—	2	8	no	—
127	C₂×C₄×C₂₃	—	2	8	no	—
128	C₂×C₄×C₂₃	C₂×D₄	1	4	yes	—
129	C₂×C₄×C₂₃	C₂×D₄	1	4	yes	—
130	C₂×C₄×C₂₃	C₂×D₄	1	4	yes	—
131	C₂×C₄×C₂₃	C₂×D₄	1	4	yes	—
132	C₂×C₄×C₂₃	C₂×D₄	1	4	yes	—
133	C₂×C₄×C₂₃	C₂×D₄	1	4	yes	—
134	C₂×C₄×C₂₃	C₂⁴	1	4	yes	—
135	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
136	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
137	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
138	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
139	C₂²⋊D₂₃	—	2	8	no	—
140	C₂²⋊D₂₃	—	2	8	no	—
141	C₂²⋊D₂₃	—	4	16	no	—
142	C₂×Dic₂₃	—	2	4	no	—
143	C₂×Dic₂₃	—	4	4	no	—
144	C₂×Dic₂₃	C₂⁴	1	8	yes	—
145	C₂×Dic₂₃	C₂⁴	1	4	yes	—
146	D₉₂	—	2	4	no	—
147	D₉₂	—	2	4	no	—
148	C₄×D₂₃	—	2	8	no	—
149	C₄×D₂₃	—	2	8	no	—
150	Dic₄₆	—	2	4	no	—
151	Dic₄₆	—	2	4	no	—
152	#3449	—	23	1	no	maximal, Sylow
153	C₂²×C₂₃	—	2	2	no	—
154	C₂²×C₂₃	—	2	2	no	—
155	C₂²×C₂₃	—	2	2	no	—
156	C₂²×C₂₃	—	2	4	no	—
157	C₂²×C₂₃	—	2	8	no	—
158	C₂²×C₂₃	—	4	4	no	—
159	C₂²×C₂₃	—	4	8	no	—
160	C₂²×C₂₃	C₂²×D₄	1	2	yes	—
161	C₂²×C₂₃	C₂²×D₄	1	2	yes	—
162	C₂²×C₂₃	C₂²×D₄	1	2	yes	—
163	C₂²×C₂₃	C₂⁵	1	1	yes	characteristic
164	C₂×D₂₃	—	2	4	no	—
165	C₂×D₂₃	—	2	8	no	—
166	C₂×D₂₃	—	4	8	no	—
167	C₄×C₂₃	—	2	4	no	—
168	C₄×C₂₃	C₂²×D₄	1	2	yes	—
169	C₄×C₂₃	C₂²×D₄	1	2	yes	—
170	C₄×C₂₃	C₂²×D₄	1	2	yes	—
171	C₄×C₂₃	C₂²×D₄	1	2	yes	—
172	Dic₂₃	—	2	4	no	—
173	Dic₂₃	—	2	8	no	—
174	C₂²×#41	—	23	1	no	—
175	C₂²×#41	D₂₃	1	1	yes	characteristic, complemented
176	#537	—	23	4	no	—
177	#536	—	23	2	no	—
178	#536	—	23	2	no	—
179	#535	—	23	2	no	—
180	#535	—	23	2	no	—
181	#534	—	23	4	no	—
182	#532	—	23	4	no	—
183	#525	—	23	4	no	—
184	#525	—	23	4	no	—
185	C₂×#117	—	23	1	no	—
186	C₂×C₂₃	—	2	2	no	—
187	C₂×C₂₃	—	2	2	no	—
188	C₂×C₂₃	—	2	2	no	—
189	C₂×C₂₃	—	4	4	no	—
190	C₂×C₂₃	C₂³×D₄	1	1	yes	characteristic
191	C₂×C₂₃	#585	1	2	yes	—
192	D₂₃	—	4	4	no	—
193	C₂×#41	—	2	8	no	—
194	C₂×#41	—	23	2	no	—
195	C₂×#41	—	23	2	no	—
196	C₂×#41	—	23	2	no	—
197	C₂×#41	—	23	2	no	—
198	C₂×#41	—	46	8	no	—
199	C₂×#41	C₂×D₂₃	1	2	yes	—
200	C₂×#41	C₂×D₂₃	1	2	yes	—
201	C₂×#41	C₂×D₂₃	1	2	yes	complemented
202	C₂×#41	C₂×D₂₃	1	2	yes	complemented
203	C₂²×Q₈	—	23	1	no	—
204	C₂²×Q₈	C₂×D₂₃	1	1	yes	characteristic, complemented
205	C₂²×D₄	—	23	2	no	—
206	C₂²×D₄	—	23	1	no	—
207	C₂²×D₄	C₂×D₂₃	1	2	yes	—
208	C₂²×D₄	C₂×D₂₃	1	1	yes	characteristic, complemented
209	C₂³×C₄	—	23	2	no	—
210	C₂³×C₄	C₂×D₂₃	1	1	yes	characteristic
211	C₂³×C₄	C₂×D₂₃	1	2	yes	complemented
212	C₄⋊Q₈	—	23	4	no	—
213	#127	—	23	4	no	—
214	#124	—	23	4	no	—
215	#124	—	23	4	no	—
216	#123	—	23	8	no	—
217	#123	—	23	8	no	—
218	C₂²⋊Q₈	—	23	8	no	—
219	C₂²⋊Q₈	—	23	8	no	—
220	#121	—	23	8	no	—
221	#121	—	23	16	no	—
222	#121	—	23	8	no	—
223	#120	—	23	8	no	—
224	#120	—	23	8	no	—
225	C₄×D₄	—	23	16	no	—
226	#117	—	23	2	no	—
227	#117	—	23	2	no	—
228	#117	—	23	2	no	—
229	#117	—	23	2	no	—
230	C₂×C₄⋊C₄	—	23	2	no	—
231	C₂×C₂²⋊C₄	—	23	2	no	—
232	C₂×C₄²	—	23	2	no	—
233	C₂₃	#3449	1	1	yes	characteristic, complemented, Sylow
234	C₂⁴	—	23	2	no	—
235	C₂⁴	C₂²×D₂₃	1	2	yes	—
236	C₂⁴	C₂²×D₂₃	1	1	yes	characteristic
237	#41	—	2	8	no	—
238	#41	—	2	8	no	—
239	#41	—	2	8	no	—
240	#41	—	2	8	no	—
241	#41	—	46	8	no	—
242	#41	—	46	8	no	—
243	#41	—	46	8	no	—
244	#41	—	46	8	no	—
245	C₂×Q₈	—	2	4	no	—
246	C₂×Q₈	—	23	2	no	—
247	C₂×Q₈	—	23	2	no	—
248	C₂×Q₈	—	46	4	no	—
249	C₂×Q₈	C₂²×D₂₃	1	2	yes	—
250	C₂×Q₈	C₂²×D₂₃	1	2	yes	—
251	C₂×D₄	—	2	8	no	—
252	C₂×D₄	—	2	4	no	—
253	C₂×D₄	—	23	4	no	—
254	C₂×D₄	—	23	4	no	—
255	C₂×D₄	—	23	16	no	—
256	C₂×D₄	—	23	2	no	—
257	C₂×D₄	—	23	2	no	—
258	C₂×D₄	—	46	8	no	—
259	C₂×D₄	—	46	4	no	—
260	C₂×D₄	C₂²×D₂₃	1	4	yes	—
261	C₂×D₄	C₂²×D₂₃	1	4	yes	—
262	C₂×D₄	C₂²×D₂₃	1	2	yes	—
263	C₂×D₄	C₂²×D₂₃	1	2	yes	—
264	C₂²×C₄	—	2	8	no	—
265	C₂²×C₄	—	23	2	no	—
266	C₂²×C₄	—	23	4	no	—
267	C₂²×C₄	—	23	4	no	—
268	C₂²×C₄	—	23	4	no	—
269	C₂²×C₄	—	46	8	no	—
270	C₂²×C₄	C₂²⋊D₂₃	1	8	yes	complemented
271	C₂²×C₄	C₂²×D₂₃	1	4	yes	—
272	C₂²×C₄	C₂²×D₂₃	1	2	yes	—
273	C₂²×C₄	C₂²×D₂₃	1	4	yes	—
274	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
275	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
276	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
277	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
278	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
279	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
280	C₄⋊C₄	—	23	4	no	—
281	C₄⋊C₄	—	23	4	no	—
282	C₄⋊C₄	—	23	16	no	—
283	C₂²⋊C₄	—	23	4	no	—
284	C₂²⋊C₄	—	23	4	no	—
285	C₂²⋊C₄	—	23	16	no	—
286	C₂²⋊C₄	—	23	16	no	—
287	C₄²	—	23	4	no	—
288	C₄²	—	23	4	no	—
289	C₂³	—	2	4	no	—
290	C₂³	—	4	2	no	—
291	C₂³	—	4	4	no	—
292	C₂³	—	23	4	no	—
293	C₂³	—	46	4	no	—
294	C₂³	—	92	4	no	—
295	C₂³	C₂×C₂²⋊D₂₃	1	4	yes	—
296	C₂³	C₂³×D₂₃	1	4	yes	—
297	C₂³	C₂³×D₂₃	1	1	yes	characteristic
298	C₂³	C₂³×D₂₃	1	1	yes	characteristic
299	C₂³	C₂³×D₂₃	1	1	yes	characteristic
300	Q₈	—	2	4	no	—
301	Q₈	—	2	4	no	—
302	Q₈	—	46	4	no	—
303	Q₈	—	46	4	no	—
304	D₄	—	2	8	no	—
305	D₄	—	2	8	no	—
306	D₄	—	2	4	no	—
307	D₄	—	2	4	no	—
308	D₄	—	46	8	no	—
309	D₄	—	46	8	no	—
310	D₄	—	46	4	no	—
311	D₄	—	46	4	no	—
312	D₄	—	92	16	no	—
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	8	no	—
315	C₂×C₄	—	2	8	no	—
316	C₂×C₄	—	23	8	no	—
317	C₂×C₄	—	23	4	no	—
318	C₂×C₄	—	46	4	no	—
319	C₂×C₄	—	46	8	no	—
320	C₂×C₄	—	46	8	no	—
321	C₂×C₄	—	92	4	no	—
322	C₂×C₄	C₂×C₂²⋊D₂₃	1	4	yes	—
323	C₂×C₄	C₂×C₂²⋊D₂₃	1	4	yes	—
324	C₂×C₄	C₂×C₂²⋊D₂₃	1	4	yes	—
325	C₂×C₄	C₂×C₂²⋊D₂₃	1	4	yes	—
326	C₂×C₄	C₂×C₂²⋊D₂₃	1	4	yes	—
327	C₂×C₄	C₂×C₂²⋊D₂₃	1	4	yes	—
328	C₂×C₄	C₂³×D₂₃	1	4	yes	—
329	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
330	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
331	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
332	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
333	C₂²	—	2	2	no	—
334	C₂²	—	2	2	no	—
335	C₂²	—	2	2	no	—
336	C₂²	—	2	4	no	—
337	C₂²	—	2	8	no	—
338	C₂²	—	4	4	no	—
339	C₂²	—	4	8	no	—
340	C₂²	—	46	4	no	—
341	C₂²	—	46	8	no	—
342	C₂²	—	92	8	no	—
343	C₂²	C₂²×C₂²⋊D₂₃	1	2	yes	—
344	C₂²	C₂²×C₂²⋊D₂₃	1	2	yes	—
345	C₂²	C₂²×C₂²⋊D₂₃	1	2	yes	—
346	C₂²	C₂⁴×D₂₃	1	1	yes	characteristic
347	C₄	—	2	4	no	—
348	C₄	—	46	4	no	—
349	C₄	—	46	8	no	—
350	C₄	C₂²×C₂²⋊D₂₃	1	2	yes	—
351	C₄	C₂²×C₂²⋊D₂₃	1	2	yes	—
352	C₄	C₂²×C₂²⋊D₂₃	1	2	yes	—
353	C₄	C₂²×C₂²⋊D₂₃	1	2	yes	—
354	C₂	—	2	2	no	—
355	C₂	—	2	2	no	—
356	C₂	—	2	2	no	—
357	C₂	—	4	4	no	—
358	C₂	—	92	4	no	—
359	C₂	C₂³×C₂²⋊D₂₃	1	1	yes	characteristic
360	C₂	#13093253	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂³×D₂₃
commutator, socle, cosocle	C₂²×C₂₃	C₂⁵
Frattini	C₂²	C₂⁴×D₂₃
Fitting	C₂²×#41×C₂₃	C₂
hypercenter	C₂²×#41	D₂₃
hypocenter	C₂₃	#3449
LCS	G ▷ C₂²×C₂₃ ▷ C₂₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×#41

Complements

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

N	H ≅ G/N	type
1. C₂²×#67288	C₂	semidirect
2. #13092995	C₂	semidirect
3. #13092991	C₂	semidirect
4. #13092988	C₂	semidirect
5. #13092984	C₂	semidirect
6. #13092981	C₂	semidirect
7. #13092976	C₂	semidirect
8. #13092963	C₂	semidirect
9. #13092928	C₂	semidirect
10. #13092924	C₂	semidirect
11. C₂×#10625097	C₂	semidirect
12. C₂²×#41×C₂₃	C₂	semidirect
16. C₂×#41×C₂₃	C₂²	semidirect
17. C₂×#41×C₂₃	C₂²	semidirect
18. C₂²×Q₈×C₂₃	C₂²	semidirect
20. C₂²×D₄×C₂₃	C₂²	semidirect
22. C₂³×C₄×C₂₃	C₂²	semidirect
27. C₂×#67288	C₂²	semidirect
28. C₂×#67288	C₂²	semidirect
29. C₂²×D₉₂	C₂²	semidirect
30. C₂²×C₄×D₂₃	C₂²	semidirect
31. C₂²×Dic₄₆	C₂²	semidirect
32. #10625124	C₂²	semidirect
34. #10625118	C₂²	semidirect
35. #10625117	C₂²	semidirect
36. #10625115	C₂²	semidirect
37. #10625111	C₂²	semidirect
38. #10625110	C₂²	semidirect
39. #10625109	C₂²	semidirect
40. #10625108	C₂²	semidirect
41. #10625107	C₂²	semidirect
42. #10625106	C₂²	semidirect
43. #10625101	C₂²	semidirect
44. #10625100	C₂²	semidirect
45. C₄×C₂²⋊D₂₃	C₂²	semidirect
46. #10625097	C₂²	semidirect
47. #10625097	C₂²	semidirect
48. #10625097	C₂²	semidirect
49. #10625097	C₂²	semidirect
50. C₂×C₄⋊Dic₂₃	C₂²	semidirect
51. #10625095	C₂²	semidirect
52. C₂×C₄×Dic₂₃	C₂²	semidirect
70. C₂²×C₄×C₂₃	D₄	semidirect
175. C₂²×#41	D₂₃	semidirect
201. C₂×#41	C₂×D₂₃	semidirect
202. C₂×#41	C₂×D₂₃	semidirect
204. C₂²×Q₈	C₂×D₂₃	semidirect
208. C₂²×D₄	C₂×D₂₃	semidirect
211. C₂³×C₄	C₂×D₂₃	semidirect
233. C₂₃	#3449	semidirect
270. C₂²×C₄	C₂²⋊D₂₃	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#67288	2
#13092995	2
#13092991	2
#13092988	2
#13092984	2
#13092981	2
#13092976	2
#13092963	2
#13092928	2
#13092924	2
C₂×#10625097	2
C₂²×#41×C₂₃	2
#3449	23