Subgroups — #27174477

Order 12928.

908 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#13108074	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15692234	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#15692229	C₂	1	1	yes	maximal, characteristic, complemented
4	#20265092	C₂	1	2	yes	maximal, complemented
5	#20265085	C₂	1	2	yes	maximal, complemented
6	#20265083	C₂	1	1	yes	maximal, characteristic, complemented
7	#20265079	C₂	1	1	yes	maximal, characteristic, complemented
8	#20265053	C₂	1	2	yes	maximal, complemented
9	#20265048	C₂	1	2	yes	maximal, complemented
10	#20265037	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₄×D₄×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13108074	—	2	4	no	—
13	C₂×#13108074	—	2	4	no	—
14	C₂×#13108074	—	2	4	no	—
15	C₂²×Dic₂₀₂	C₂²	1	1	yes	characteristic
16	C₂²×D₄₀₄	C₂²	1	1	yes	characteristic
17	C₂²×C₂²⋊D₁₀₁	C₂²	1	2	yes	—
18	C₂²×C₂²⋊D₁₀₁	C₂²	1	2	yes	—
19	C₂²×C₄×D₁₀₁	C₂²	1	2	yes	—
20	#15692234	—	2	4	no	—
21	#15692229	—	2	4	no	—
22	C₂×C₄⋊Dic₁₀₁	C₂²	1	1	yes	characteristic
23	C₂×C₄⋊Dic₁₀₁	C₂²	1	1	yes	characteristic
24	C₂×#13108053	C₂²	1	2	yes	—
25	C₂×C₂²⋊Dic₁₀₁	C₂²	1	2	yes	—
26	C₂×C₂²⋊Dic₁₀₁	C₂²	1	2	yes	—
27	C₂×#13108051	C₂²	1	2	yes	—
28	C₂×#13108051	C₂²	1	2	yes	—
29	C₂×#13108051	C₂²	1	2	yes	—
30	#15692162	C₂²	1	2	yes	—
31	#15692162	C₂²	1	2	yes	—
32	#15692162	C₂²	1	2	yes	—
33	C₂²×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
34	C₂³×C₄×C₁₀₁	C₂²	1	1	yes	characteristic
35	C₂³×C₄×C₁₀₁	C₂²	1	1	yes	characteristic
36	C₄×D₄×C₁₀₁	—	2	4	no	—
37	C₂×C₄⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic
40	C₂×C₄²×C₁₀₁	C₂²	1	1	yes	characteristic
41	C₂³×D₁₀₁	C₂³	1	2	yes	—
42	#13108074	—	2	32	no	—
43	C₂×Dic₂₀₂	—	2	2	no	—
44	C₂×Dic₂₀₂	—	2	2	no	—
45	C₂×Dic₂₀₂	D₄	1	4	yes	complemented
46	C₂×D₄₀₄	—	2	2	no	—
47	C₂×D₄₀₄	—	2	2	no	—
48	C₂×D₄₀₄	D₄	1	4	yes	complemented
49	C₂×C₂²⋊D₁₀₁	—	2	4	no	—
50	C₂×C₂²⋊D₁₀₁	—	2	4	no	—
51	C₂×C₂²⋊D₁₀₁	—	2	4	no	—
52	C₂×C₂²⋊D₁₀₁	—	2	4	no	—
53	C₂×C₂²⋊D₁₀₁	—	2	4	no	—
54	C₂×C₂²⋊D₁₀₁	—	4	2	no	—
55	C₂²×Dic₁₀₁	C₂³	1	2	yes	—
56	C₂²×Dic₁₀₁	C₂³	1	2	yes	—
57	C₂²×Dic₁₀₁	C₂³	1	2	yes	—
58	C₂×C₄×D₁₀₁	—	2	4	no	—
59	C₂×C₄×D₁₀₁	—	2	4	no	—
60	C₂×C₄×D₁₀₁	—	2	4	no	—
61	C₄⋊Dic₁₀₁	—	2	2	no	—
62	C₄⋊Dic₁₀₁	—	2	2	no	—
63	#13108053	—	2	4	no	—
64	C₂²⋊Dic₁₀₁	—	2	4	no	—
65	C₂²⋊Dic₁₀₁	—	4	2	no	—
66	#13108051	—	2	4	no	—
67	#13108051	—	2	4	no	—
68	#13108051	—	4	2	no	—
69	C₂⁴×C₁₀₁	C₂³	1	1	yes	characteristic
70	C₂⁴×C₁₀₁	C₂³	1	1	yes	characteristic
71	C₂×D₄×C₁₀₁	—	2	2	no	—
72	C₂×D₄×C₁₀₁	—	2	2	no	—
73	C₂×D₄×C₁₀₁	—	2	2	no	—
74	C₂²×C₄×C₁₀₁	—	2	2	no	—
75	C₂²×C₄×C₁₀₁	—	2	2	no	—
76	C₂²×C₄×C₁₀₁	—	2	2	no	—
77	C₂²×C₄×C₁₀₁	—	2	2	no	—
78	C₂²×C₄×C₁₀₁	—	2	2	no	—
79	C₂²×C₄×C₁₀₁	D₄	1	4	yes	complemented
80	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
81	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
82	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
83	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
84	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
85	C₄⋊C₄×C₁₀₁	—	2	2	no	—
86	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
87	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
88	C₄²×C₁₀₁	—	2	2	no	—
89	C₂³×C₁₀₁	—	2	1	no	—
90	C₂³×C₁₀₁	—	2	1	no	—
91	C₂³×C₁₀₁	—	2	1	no	—
92	C₂³×C₁₀₁	—	2	1	no	—
93	C₂³×C₁₀₁	—	2	1	no	—
94	C₂³×C₁₀₁	—	2	1	no	—
95	C₂³×C₁₀₁	—	2	1	no	—
96	C₂³×C₁₀₁	—	2	1	no	—
97	C₂³×C₁₀₁	—	2	1	no	—
98	C₂³×C₁₀₁	—	2	1	no	—
99	C₂³×C₁₀₁	—	2	1	no	—
100	C₂³×C₁₀₁	—	2	1	no	—
101	C₂³×C₁₀₁	C₂×D₄	1	2	yes	—
102	C₂³×C₁₀₁	#41	1	2	yes	complemented
103	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
104	C₂²×D₁₀₁	—	2	2	no	—
105	C₂²×D₁₀₁	—	2	2	no	—
106	C₂²×D₁₀₁	—	2	2	no	—
107	C₂²×D₁₀₁	—	2	2	no	—
108	C₂²×D₁₀₁	—	2	2	no	—
109	C₂²×D₁₀₁	—	2	2	no	—
110	C₂²×D₁₀₁	C₂×D₄	1	4	yes	—
111	D₄×C₁₀₁	—	2	8	no	—
112	C₂×C₄×C₁₀₁	—	2	1	no	—
113	C₂×C₄×C₁₀₁	—	2	1	no	—
114	C₂×C₄×C₁₀₁	—	2	1	no	—
115	C₂×C₄×C₁₀₁	—	2	1	no	—
116	C₂×C₄×C₁₀₁	—	2	8	no	—
117	C₂×C₄×C₁₀₁	—	2	1	no	—
118	C₂×C₄×C₁₀₁	—	2	1	no	—
119	C₂×C₄×C₁₀₁	—	2	1	no	—
120	C₂×C₄×C₁₀₁	—	2	1	no	—
121	C₂×C₄×C₁₀₁	—	2	1	no	—
122	C₂×C₄×C₁₀₁	—	2	1	no	—
123	C₂×C₄×C₁₀₁	—	4	4	no	—
124	C₂×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
125	C₂×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
126	C₂×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
127	C₂×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
128	C₂×C₄×C₁₀₁	#41	1	2	yes	complemented
129	C₂²⋊D₁₀₁	—	2	16	no	—
130	C₂²⋊D₁₀₁	—	4	8	no	—
131	C₂×Dic₁₀₁	—	2	2	no	—
132	C₂×Dic₁₀₁	—	2	2	no	—
133	C₂×Dic₁₀₁	—	2	2	no	—
134	C₂×Dic₁₀₁	—	2	2	no	—
135	C₂×Dic₁₀₁	—	2	2	no	—
136	C₂×Dic₁₀₁	—	2	2	no	—
137	C₂×Dic₁₀₁	—	2	2	no	—
138	C₂×Dic₁₀₁	—	2	2	no	—
139	C₂×Dic₁₀₁	C₂×D₄	1	4	yes	—
140	D₄₀₄	—	2	8	no	—
141	C₄×D₁₀₁	—	2	16	no	—
142	Dic₂₀₂	—	2	8	no	—
143	C₂²×C₁₀₁	—	2	2	no	—
144	C₂²×C₁₀₁	—	2	2	no	—
145	C₂²×C₁₀₁	—	2	2	no	—
146	C₂²×C₁₀₁	—	2	2	no	—
147	C₂²×C₁₀₁	—	2	2	no	—
148	C₂²×C₁₀₁	—	2	2	no	—
149	C₂²×C₁₀₁	—	4	1	no	—
150	C₂²×C₁₀₁	—	4	1	no	—
151	C₂²×C₁₀₁	—	4	1	no	—
152	C₂²×C₁₀₁	—	4	1	no	—
153	C₂²×C₁₀₁	—	4	1	no	—
154	C₂²×C₁₀₁	—	4	1	no	—
155	C₂²×C₁₀₁	—	4	1	no	—
156	C₂²×C₁₀₁	—	4	1	no	—
157	C₂²×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
158	C₂²×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
159	C₂²×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
160	C₂²×C₁₀₁	C₂×#41	1	1	yes	characteristic
161	C₂²×C₁₀₁	C₂×#41	1	1	yes	characteristic
162	C₂²×C₁₀₁	H(5,𝔽₂)	1	1	yes	characteristic
163	C₂²×C₁₀₁	2₋¹⁺⁴	1	1	yes	characteristic
164	C₂×D₁₀₁	—	2	4	no	—
165	C₂×D₁₀₁	—	2	4	no	—
166	C₂×D₁₀₁	—	2	4	no	—
167	C₂×D₁₀₁	—	4	2	no	—
168	C₂×D₁₀₁	—	4	2	no	—
169	C₂×D₁₀₁	—	4	2	no	—
170	C₂×D₁₀₁	—	4	2	no	—
171	C₄×C₁₀₁	—	2	2	no	—
172	C₄×C₁₀₁	—	2	2	no	—
173	C₄×C₁₀₁	—	4	1	no	—
174	C₄×C₁₀₁	—	4	1	no	—
175	C₄×C₁₀₁	#120	1	4	yes	—
176	Dic₁₀₁	—	2	4	no	—
177	Dic₁₀₁	—	4	2	no	—
178	Dic₁₀₁	—	4	2	no	—
179	C₂×C₁₀₁	—	4	2	no	—
180	C₂×C₁₀₁	—	4	2	no	—
181	C₂×C₁₀₁	C₂×#120	1	1	yes	characteristic
182	C₂×C₁₀₁	#525	1	1	yes	characteristic
183	C₂×C₁₀₁	#537	1	1	yes	characteristic
184	C₂×C₁₀₁	#546	1	1	yes	characteristic
185	C₂×C₁₀₁	#547	1	1	yes	characteristic
186	C₂×C₁₀₁	#548	1	1	yes	characteristic
187	C₂×C₁₀₁	#550	1	1	yes	characteristic
188	D₁₀₁	—	4	4	no	—
189	#2407	—	101	1	no	maximal, Sylow
190	C₁₀₁	#2407	1	1	yes	characteristic, complemented, Sylow
191	C₂²×#41	—	101	1	no	—
192	C₂×C₂²⋊Q₈	—	101	1	no	—
193	C₂×#121	—	101	1	no	—
194	C₂×C₄×D₄	D₁₀₁	1	1	yes	characteristic, complemented
195	#394	—	101	2	no	—
196	#392	—	101	2	no	—
197	#391	—	101	1	no	—
198	#390	—	101	1	no	—
199	#386	—	101	2	no	—
200	#385	—	101	2	no	—
201	#380	—	101	1	no	—
202	C₂×#41	—	202	4	no	—
203	C₂×#41	—	202	4	no	—
204	C₂×#41	—	202	4	no	—
205	C₂²×Q₈	—	101	1	no	—
206	C₂²×D₄	—	101	2	no	—
207	C₂²×D₄	—	101	2	no	—
208	C₂²×D₄	—	101	1	no	—
209	C₂²×D₄	C₂×D₁₀₁	1	1	yes	characteristic
210	C₂³×C₄	—	101	2	no	—
211	C₂³×C₄	C₂×D₁₀₁	1	1	yes	characteristic
212	C₂³×C₄	C₂×D₁₀₁	1	1	yes	characteristic
213	C₂²⋊Q₈	—	202	4	no	—
214	#121	—	202	4	no	—
215	C₄×D₄	—	2	4	no	—
216	C₂×C₄⋊C₄	—	101	1	no	—
217	C₂×C₄⋊C₄	—	101	1	no	—
218	C₂×C₄⋊C₄	—	101	2	no	—
219	C₂×C₄⋊C₄	C₂×D₁₀₁	1	1	yes	characteristic
220	C₂×C₂²⋊C₄	—	101	2	no	—
221	C₂×C₂²⋊C₄	—	101	2	no	—
222	C₂×C₂²⋊C₄	—	101	2	no	—
223	C₂×C₂²⋊C₄	—	101	2	no	—
224	C₂×C₂²⋊C₄	—	101	2	no	—
225	C₂×C₂²⋊C₄	C₂×D₁₀₁	1	1	yes	characteristic
226	C₂×C₂²⋊C₄	C₂×D₁₀₁	1	1	yes	characteristic
227	C₂×C₄²	C₂×D₁₀₁	1	1	yes	characteristic
228	#95	—	101	2	no	—
229	#95	—	101	2	no	—
230	#95	—	101	2	no	—
231	C₂⁴	—	101	2	no	—
232	C₂⁴	C₂²×D₁₀₁	1	1	yes	characteristic
233	C₂⁴	C₂²×D₁₀₁	1	1	yes	characteristic
234	#41	—	202	32	no	—
235	C₂×Q₈	—	101	4	no	—
236	C₂×Q₈	—	202	2	no	—
237	C₂×Q₈	—	202	2	no	—
238	C₂×D₄	—	2	2	no	—
239	C₂×D₄	—	2	2	no	—
240	C₂×D₄	—	2	2	no	—
241	C₂×D₄	—	101	4	no	—
242	C₂×D₄	—	404	2	no	—
243	C₂×D₄	—	202	4	no	—
244	C₂×D₄	—	202	4	no	—
245	C₂×D₄	—	202	4	no	—
246	C₂×D₄	—	202	4	no	—
247	C₂×D₄	—	202	4	no	—
248	C₂×D₄	—	202	2	no	—
249	C₂×D₄	—	202	2	no	—
250	C₂²×C₄	—	2	2	no	—
251	C₂²×C₄	—	2	2	no	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	—	2	2	no	—
254	C₂²×C₄	—	2	2	no	—
255	C₂²×C₄	—	101	2	no	—
256	C₂²×C₄	—	101	2	no	—
257	C₂²×C₄	—	101	2	no	—
258	C₂²×C₄	—	202	4	no	—
259	C₂²×C₄	—	202	4	no	—
260	C₂²×C₄	—	202	4	no	—
261	C₂²×C₄	C₂²⋊D₁₀₁	1	4	yes	complemented
262	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
263	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
264	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
265	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
266	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
267	C₄⋊C₄	—	2	2	no	—
268	C₄⋊C₄	—	202	4	no	—
269	C₄⋊C₄	—	202	2	no	—
270	C₄⋊C₄	—	202	2	no	—
271	C₂²⋊C₄	—	2	2	no	—
272	C₂²⋊C₄	—	2	2	no	—
273	C₂²⋊C₄	—	404	2	no	—
274	C₂²⋊C₄	—	404	2	no	—
275	C₂²⋊C₄	—	202	4	no	—
276	C₂²⋊C₄	—	202	4	no	—
277	C₂²⋊C₄	—	202	4	no	—
278	C₄²	—	2	2	no	—
279	C₂³	—	2	1	no	—
280	C₂³	—	2	1	no	—
281	C₂³	—	2	1	no	—
282	C₂³	—	2	1	no	—
283	C₂³	—	2	1	no	—
284	C₂³	—	2	1	no	—
285	C₂³	—	2	1	no	—
286	C₂³	—	2	1	no	—
287	C₂³	—	2	1	no	—
288	C₂³	—	2	1	no	—
289	C₂³	—	2	1	no	—
290	C₂³	—	2	1	no	—
291	C₂³	—	101	4	no	—
292	C₂³	—	202	2	no	—
293	C₂³	—	202	2	no	—
294	C₂³	—	202	2	no	—
295	C₂³	—	202	2	no	—
296	C₂³	—	202	2	no	—
297	C₂³	—	202	2	no	—
298	C₂³	C₂×C₂²⋊D₁₀₁	1	2	yes	—
299	C₂³	#13108074	1	2	yes	complemented
300	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
301	Q₈	—	202	8	no	—
302	D₄	—	2	8	no	—
303	D₄	—	404	8	no	—
304	D₄	—	202	16	no	—
305	D₄	—	202	8	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	8	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	101	4	no	—
319	C₂×C₄	—	202	16	no	—
320	C₂×C₄	—	202	2	no	—
321	C₂×C₄	—	202	2	no	—
322	C₂×C₄	—	202	2	no	—
323	C₂×C₄	—	202	2	no	—
324	C₂×C₄	—	202	2	no	—
325	C₂×C₄	—	202	2	no	—
326	C₂×C₄	—	202	2	no	—
327	C₂×C₄	—	202	2	no	—
328	C₂×C₄	D₄×D₁₀₁	1	2	yes	—
329	C₂×C₄	D₄×D₁₀₁	1	2	yes	—
330	C₂×C₄	C₂×C₂²⋊D₁₀₁	1	2	yes	—
331	C₂×C₄	C₂×C₂²⋊D₁₀₁	1	2	yes	—
332	C₂×C₄	#13108074	1	2	yes	complemented
333	C₂²	—	2	2	no	—
334	C₂²	—	2	2	no	—
335	C₂²	—	2	2	no	—
336	C₂²	—	2	2	no	—
337	C₂²	—	2	2	no	—
338	C₂²	—	2	2	no	—
339	C₂²	—	4	1	no	—
340	C₂²	—	4	1	no	—
341	C₂²	—	4	1	no	—
342	C₂²	—	4	1	no	—
343	C₂²	—	4	1	no	—
344	C₂²	—	4	1	no	—
345	C₂²	—	4	1	no	—
346	C₂²	—	4	1	no	—
347	C₂²	—	404	2	no	—
348	C₂²	—	404	2	no	—
349	C₂²	—	404	2	no	—
350	C₂²	—	404	2	no	—
351	C₂²	—	202	4	no	—
352	C₂²	—	202	4	no	—
353	C₂²	—	202	4	no	—
354	C₂²	C₂×D₄×D₁₀₁	1	1	yes	characteristic
355	C₂²	C₂×D₄×D₁₀₁	1	1	yes	characteristic
356	C₂²	C₂²×C₂²⋊D₁₀₁	1	1	yes	characteristic
357	C₂²	C₂×#13108074	1	1	yes	characteristic
358	C₂²	C₂×#13108074	1	1	yes	characteristic
359	C₂²	#15692301	1	1	yes	characteristic
360	C₂²	#15692302	1	1	yes	characteristic
361	C₄	—	2	2	no	—
362	C₄	—	2	2	no	—
363	C₄	—	4	1	no	—
364	C₄	—	4	1	no	—
365	C₄	—	404	2	no	—
366	C₄	—	404	2	no	—
367	C₄	—	202	4	no	—
368	C₄	#15692223	1	4	yes	—
369	C₂	—	4	2	no	—
370	C₂	—	4	2	no	—
371	C₂	—	404	4	no	—
372	C₂	C₂×#15692223	1	1	yes	characteristic
373	C₂	#20265688	1	1	yes	characteristic
374	C₂	#20265755	1	1	yes	characteristic
375	C₂	#20265823	1	1	yes	characteristic
376	C₂	#20265832	1	1	yes	characteristic
377	C₂	#20265836	1	1	yes	characteristic
378	C₂	#20265848	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₁₀₁
commutator, socle, cosocle	C₂³×C₁₀₁	C₂⁴
Fitting	C₂×C₄×D₄×C₁₀₁	C₂
hypercenter	C₂×C₄×D₄	D₁₀₁
hypocenter	C₁₀₁	#2407
LCS	G ▷ C₂³×C₁₀₁ ▷ C₁₀₁
UCS	C₁ ◁ C₂³ ◁ C₂×C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂²×#13108074	C₂	semidirect
2. C₂×#15692234	C₂	semidirect
3. C₂×#15692229	C₂	semidirect
4. #20265092	C₂	semidirect
5. #20265085	C₂	semidirect
6. #20265083	C₂	semidirect
7. #20265079	C₂	semidirect
8. #20265053	C₂	semidirect
9. #20265048	C₂	semidirect
10. #20265037	C₂	semidirect
11. C₂×C₄×D₄×C₁₀₁	C₂	semidirect
45. C₂×Dic₂₀₂	D₄	semidirect
48. C₂×D₄₀₄	D₄	semidirect
79. C₂²×C₄×C₁₀₁	D₄	semidirect
102. C₂³×C₁₀₁	#41	semidirect
128. C₂×C₄×C₁₀₁	#41	semidirect
190. C₁₀₁	#2407	semidirect
194. C₂×C₄×D₄	D₁₀₁	semidirect
261. C₂²×C₄	C₂²⋊D₁₀₁	semidirect
299. C₂³	#13108074	semidirect
332. C₂×C₄	#13108074	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#13108074	2
C₂×#15692234	2
C₂×#15692229	2
#20265092	2
#20265085	2
#20265083	2
#20265079	2
#20265053	2
#20265048	2
#20265037	2
C₂×C₄×D₄×C₁₀₁	2
#2407	101