Subgroups — C₂×#20265845 #27184609

Order 12928.

1736 conjugacy classes of subgroups.

The subgroup lattice has 360 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	C₂²×#13108073	C₂	1	1	yes	maximal, characteristic, complemented
3	#20265845	C₂	1	16	yes	maximal, direct product factor
4	C₂×#15692251	C₂	1	2	yes	maximal, complemented
5	C₂×#15692251	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15692230	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15692228	C₂	1	2	yes	maximal, complemented
8	C₂×#15692227	C₂	1	2	yes	maximal, complemented
9	C₂×#15692220	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₄×C₂²⋊D₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15692215	C₂	1	2	yes	maximal, complemented
12	C₂×#121×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#13108074	—	2	8	no	—
14	C₂×#13108074	C₂²	1	8	yes	complemented
15	C₂×#13108073	—	2	8	no	—
16	C₂×#13108073	C₂²	1	8	yes	complemented
17	C₂²×Dic₂₀₂	C₂²	1	1	yes	characteristic
18	C₂²×D₄₀₄	C₂²	1	1	yes	characteristic
19	C₂²×D₄₀₄	C₂²	1	2	yes	—
20	C₂²×C₂²⋊D₁₀₁	C₂²	1	2	yes	—
21	C₂²×C₂²⋊D₁₀₁	C₂²	1	2	yes	—
22	C₂²×C₂²⋊D₁₀₁	C₂²	1	2	yes	—
23	C₂²×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic
24	C₂²×C₂²⋊D₁₀₁	C₂²	1	2	yes	—
25	C₂³×Dic₁₀₁	C₂²	1	2	yes	—
26	C₂²×C₄×D₁₀₁	C₂²	1	1	yes	characteristic
27	C₂²×C₄×D₁₀₁	C₂²	1	2	yes	—
28	#15692251	C₂²	1	8	yes	complemented
29	#15692251	C₂²	1	16	yes	complemented
30	#15692230	C₂²	1	8	yes	complemented
31	#15692228	C₂²	1	16	yes	complemented
32	#15692227	C₂²	1	16	yes	complemented
33	#15692220	C₂²	1	8	yes	complemented
34	C₄×C₂²⋊D₁₀₁	C₂²	1	8	yes	complemented
35	#15692215	C₂²	1	16	yes	complemented
36	C₂×#13108053	C₂²	1	1	yes	characteristic
37	C₂×#13108053	C₂²	1	2	yes	—
38	C₂×C₂²⋊Dic₁₀₁	C₂²	1	1	yes	characteristic
39	C₂×#13108051	C₂²	1	2	yes	—
40	C₂×#13108051	C₂²	1	1	yes	characteristic
41	C₂×C₄×Dic₁₀₁	C₂²	1	2	yes	—
42	C₂×C₄×Dic₁₀₁	C₂²	1	1	yes	characteristic
43	C₂²×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
44	C₂²×D₄×C₁₀₁	C₂²	1	2	yes	—
45	C₂³×C₄×C₁₀₁	C₂²	1	1	yes	characteristic
46	#121×C₁₀₁	C₂²	1	8	yes	complemented
47	C₂×C₄⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×C₁₀₁	C₂²	1	2	yes	—
49	C₂³×D₁₀₁	C₂³	1	1	yes	characteristic
50	C₂³×D₁₀₁	C₂³	1	2	yes	—
51	#13108074	—	2	32	no	—
52	#13108073	—	2	32	no	—
53	C₂×Dic₂₀₂	D₄	1	8	yes	complemented
54	C₂×Dic₂₀₂	C₂³	1	4	yes	—
55	C₂×D₄₀₄	—	2	4	no	—
56	C₂×D₄₀₄	—	4	4	no	—
57	C₂×D₄₀₄	C₂³	1	4	yes	—
58	C₂×D₄₀₄	C₂³	1	8	yes	—
59	C₂×C₂²⋊D₁₀₁	—	2	8	no	—
60	C₂×C₂²⋊D₁₀₁	—	2	8	no	—
61	C₂×C₂²⋊D₁₀₁	—	2	8	no	—
62	C₂×C₂²⋊D₁₀₁	—	2	4	no	—
63	C₂×C₂²⋊D₁₀₁	—	4	4	no	—
64	C₂×C₂²⋊D₁₀₁	C₂³	1	8	yes	—
65	C₂×C₂²⋊D₁₀₁	C₂³	1	8	yes	—
66	C₂×C₂²⋊D₁₀₁	C₂³	1	8	yes	—
67	C₂×C₂²⋊D₁₀₁	C₂³	1	4	yes	—
68	C₂×C₂²⋊D₁₀₁	C₂³	1	8	yes	—
69	C₂²×Dic₁₀₁	—	2	8	no	—
70	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
71	C₂²×Dic₁₀₁	C₂³	1	8	yes	—
72	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
73	C₂²×Dic₁₀₁	C₂³	1	2	yes	—
74	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
75	C₂×C₄×D₁₀₁	—	2	4	no	—
76	C₂×C₄×D₁₀₁	—	2	8	no	—
77	C₂×C₄×D₁₀₁	C₂³	1	4	yes	—
78	C₂×C₄×D₁₀₁	C₂³	1	8	yes	—
79	#13108053	C₂³	1	4	yes	—
80	#13108053	C₂³	1	8	yes	—
81	C₂²⋊Dic₁₀₁	C₂³	1	4	yes	—
82	#13108051	C₂³	1	8	yes	—
83	#13108051	C₂³	1	4	yes	—
84	C₄×Dic₁₀₁	C₂³	1	8	yes	—
85	C₄×Dic₁₀₁	C₂³	1	4	yes	—
86	C₂⁴×C₁₀₁	C₂³	1	2	yes	—
87	C₂⁴×C₁₀₁	C₂³	1	1	yes	characteristic
88	C₂×D₄×C₁₀₁	—	2	4	no	—
89	C₂×D₄×C₁₀₁	—	4	4	no	—
90	C₂×D₄×C₁₀₁	C₂³	1	4	yes	—
91	C₂×D₄×C₁₀₁	C₂³	1	8	yes	—
92	C₂²×C₄×C₁₀₁	—	2	4	no	—
93	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
94	C₂²×C₄×C₁₀₁	C₂³	1	2	yes	—
95	C₂²×C₄×C₁₀₁	C₂³	1	4	yes	—
96	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
97	C₄⋊C₄×C₁₀₁	C₂³	1	4	yes	—
98	C₂²⋊C₄×C₁₀₁	C₂³	1	8	yes	—
99	C₂³×C₁₀₁	—	2	2	no	—
100	C₂³×C₁₀₁	—	2	4	no	—
101	C₂³×C₁₀₁	—	2	4	no	—
102	C₂³×C₁₀₁	—	2	2	no	—
103	C₂³×C₁₀₁	—	2	2	no	—
104	C₂³×C₁₀₁	—	2	4	no	—
105	C₂³×C₁₀₁	C₂⁴	1	4	yes	—
106	C₂³×C₁₀₁	C₂⁴	1	2	yes	—
107	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
108	C₂²×D₁₀₁	—	2	2	no	—
109	C₂²×D₁₀₁	—	2	4	no	—
110	C₂²×D₁₀₁	—	2	2	no	—
111	C₂²×D₁₀₁	—	2	4	no	—
112	C₂²×D₁₀₁	—	2	4	no	—
113	C₂²×D₁₀₁	—	2	2	no	—
114	C₂²×D₁₀₁	C₂⁴	1	4	yes	—
115	C₂²×D₁₀₁	C₂⁴	1	2	yes	—
116	D₄×C₁₀₁	—	2	8	no	—
117	D₄×C₁₀₁	—	4	8	no	—
118	C₂×C₄×C₁₀₁	—	2	2	no	—
119	C₂×C₄×C₁₀₁	—	2	4	no	—
120	C₂×C₄×C₁₀₁	—	2	8	no	—
121	C₂×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
122	C₂×C₄×C₁₀₁	C₂⁴	1	2	yes	—
123	C₂×C₄×C₁₀₁	C₂⁴	1	4	yes	—
124	C₂×C₄×C₁₀₁	C₂⁴	1	2	yes	—
125	C₂²⋊D₁₀₁	—	2	16	no	—
126	C₂²⋊D₁₀₁	—	2	16	no	—
127	C₂²⋊D₁₀₁	—	2	16	no	—
128	C₂²⋊D₁₀₁	—	2	8	no	—
129	C₂²⋊D₁₀₁	—	4	8	no	—
130	C₂×Dic₁₀₁	—	2	2	no	—
131	C₂×Dic₁₀₁	—	2	2	no	—
132	C₂×Dic₁₀₁	—	2	16	no	—
133	C₂×Dic₁₀₁	C₂×D₄	1	8	yes	—
134	C₂×Dic₁₀₁	#41	1	4	yes	complemented
135	C₂×Dic₁₀₁	C₂⁴	1	2	yes	—
136	C₂×Dic₁₀₁	C₂⁴	1	2	yes	—
137	C₂×Dic₁₀₁	C₂⁴	1	4	yes	—
138	C₂×Dic₁₀₁	C₂⁴	1	2	yes	—
139	D₄₀₄	—	2	8	no	—
140	D₄₀₄	—	4	8	no	—
141	C₄×D₁₀₁	—	2	8	no	—
142	C₄×D₁₀₁	—	2	16	no	—
143	Dic₂₀₂	C₂×D₄	1	16	yes	complemented
144	C₂²×C₁₀₁	—	2	4	no	—
145	C₂²×C₁₀₁	—	2	2	no	—
146	C₂²×C₁₀₁	—	2	4	no	—
147	C₂²×C₁₀₁	—	2	2	no	—
148	C₂²×C₁₀₁	—	2	4	no	—
149	C₂²×C₁₀₁	—	2	2	no	—
150	C₂²×C₁₀₁	—	4	4	no	—
151	C₂²×C₁₀₁	—	4	8	no	—
152	C₂²×C₁₀₁	C₂²×D₄	1	2	yes	—
153	C₂²×C₁₀₁	C₂×#41	1	2	yes	—
154	C₂²×C₁₀₁	H(5,𝔽₂)	1	2	yes	—
155	C₂²×C₁₀₁	C₂⁵	1	1	yes	characteristic
156	C₂×D₁₀₁	—	2	4	no	—
157	C₂×D₁₀₁	—	2	2	no	—
158	C₂×D₁₀₁	—	2	4	no	—
159	C₂×D₁₀₁	—	2	2	no	—
160	C₂×D₁₀₁	—	2	2	no	—
161	C₂×D₁₀₁	—	2	4	no	—
162	C₂×D₁₀₁	—	4	4	no	—
163	C₂×D₁₀₁	—	4	8	no	—
164	C₄×C₁₀₁	—	2	2	no	—
165	C₄×C₁₀₁	—	2	4	no	—
166	C₄×C₁₀₁	C₂²×D₄	1	4	yes	—
167	Dic₁₀₁	—	2	2	no	—
168	Dic₁₀₁	—	2	2	no	—
169	Dic₁₀₁	C₂²×D₄	1	8	yes	—
170	Dic₁₀₁	C₂×#41	1	4	yes	complemented
171	C₂×C₁₀₁	—	4	4	no	—
172	C₂×C₁₀₁	—	4	2	no	—
173	C₂×C₁₀₁	#550	1	4	yes	complemented
174	C₂×C₁₀₁	C₂³×D₄	1	1	yes	characteristic
175	C₂×C₁₀₁	C₂²×#41	1	1	yes	characteristic
176	C₂×C₁₀₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
177	D₁₀₁	—	4	4	no	—
178	D₁₀₁	—	4	2	no	—
179	C₂×#550	—	101	1	no	maximal, Sylow
180	C₁₀₁	C₂×#550	1	1	yes	characteristic, complemented, Sylow
181	C₂²×#41	—	101	1	no	—
182	C₂²×#41	—	101	1	no	—
183	#550	—	101	16	no	—
184	C₂×#127	—	101	1	no	—
185	C₂×#127	—	101	2	no	—
186	C₂×#121	—	101	2	no	—
187	C₂×#121	—	101	1	no	—
188	C₂×#121	—	101	2	no	—
189	C₂×#121	D₁₀₁	1	1	yes	characteristic, complemented
190	C₂×C₄×Q₈	—	101	1	no	—
191	C₂×C₄×D₄	—	101	1	no	—
192	C₂×C₄×D₄	—	101	2	no	—
193	C₂×#41	—	101	8	no	—
194	C₂×#41	—	101	8	no	—
195	C₂×#41	—	202	8	no	—
196	C₂×#41	—	202	8	no	—
197	C₂²×Q₈	—	101	1	no	—
198	C₂²×D₄	—	101	2	no	—
199	C₂²×D₄	—	101	1	no	—
200	C₂²×D₄	—	101	2	no	—
201	C₂²×D₄	—	101	2	no	—
202	C₂²×D₄	—	101	2	no	—
203	C₂²×D₄	—	101	2	no	—
204	C₂²×D₄	—	101	1	no	—
205	C₂²×D₄	C₂×D₁₀₁	1	1	yes	characteristic
206	C₂²×D₄	C₂×D₁₀₁	1	2	yes	—
207	C₂³×C₄	—	101	2	no	—
208	C₂³×C₄	—	101	2	no	—
209	C₂³×C₄	—	101	1	no	—
210	C₂³×C₄	C₂×D₁₀₁	1	1	yes	characteristic
211	#127	—	101	8	no	—
212	#127	—	101	16	no	—
213	#121	—	101	16	no	—
214	#121	—	101	8	no	—
215	#121	—	101	16	no	—
216	#121	C₂×D₁₀₁	1	8	yes	complemented
217	C₄×Q₈	—	101	8	no	—
218	C₄×D₄	—	101	8	no	—
219	C₄×D₄	—	101	16	no	—
220	C₂×C₄⋊C₄	—	101	1	no	—
221	C₂×C₄⋊C₄	—	101	2	no	—
222	C₂×C₄⋊C₄	C₂×D₁₀₁	1	1	yes	characteristic
223	C₂×C₂²⋊C₄	—	101	1	no	—
224	C₂×C₂²⋊C₄	—	101	1	no	—
225	C₂×C₂²⋊C₄	—	101	2	no	—
226	C₂×C₂²⋊C₄	C₂×D₁₀₁	1	2	yes	—
227	C₂×C₄²	—	101	2	no	—
228	C₂×C₄²	—	101	1	no	—
229	C₂⁴	—	101	2	no	—
230	C₂⁴	—	101	1	no	—
231	C₂⁴	C₂²×D₁₀₁	1	1	yes	characteristic
232	C₂⁴	C₂²×D₁₀₁	1	2	yes	—
233	#41	—	202	32	no	—
234	#41	—	202	32	no	—
235	C₂×Q₈	—	101	8	no	—
236	C₂×Q₈	—	101	4	no	—
237	C₂×D₄	—	2	4	no	—
238	C₂×D₄	—	4	4	no	—
239	C₂×D₄	—	101	8	no	—
240	C₂×D₄	—	101	4	no	—
241	C₂×D₄	—	101	8	no	—
242	C₂×D₄	—	101	8	no	—
243	C₂×D₄	—	101	8	no	—
244	C₂×D₄	—	101	8	no	—
245	C₂×D₄	—	101	4	no	—
246	C₂×D₄	—	404	4	no	—
247	C₂×D₄	—	404	4	no	—
248	C₂×D₄	—	202	4	no	—
249	C₂×D₄	—	202	8	no	—
250	C₂×D₄	—	202	8	no	—
251	C₂×D₄	—	202	8	no	—
252	C₂×D₄	—	202	4	no	—
253	C₂×D₄	C₂²×D₁₀₁	1	4	yes	—
254	C₂×D₄	C₂²×D₁₀₁	1	8	yes	—
255	C₂²×C₄	—	2	4	no	—
256	C₂²×C₄	—	101	1	no	—
257	C₂²×C₄	—	101	2	no	—
258	C₂²×C₄	—	101	8	no	—
259	C₂²×C₄	—	101	1	no	—
260	C₂²×C₄	—	101	1	no	—
261	C₂²×C₄	—	101	8	no	—
262	C₂²×C₄	—	101	4	no	—
263	C₂²×C₄	—	202	8	no	—
264	C₂²×C₄	—	202	8	no	—
265	C₂²×C₄	—	202	4	no	—
266	C₂²×C₄	C₂²×D₁₀₁	1	4	yes	—
267	C₂²×C₄	C₂²×D₁₀₁	1	2	yes	—
268	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
269	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
270	C₄⋊C₄	—	101	4	no	—
271	C₄⋊C₄	—	101	8	no	—
272	C₄⋊C₄	C₂²×D₁₀₁	1	4	yes	—
273	C₂²⋊C₄	—	101	4	no	—
274	C₂²⋊C₄	—	101	4	no	—
275	C₂²⋊C₄	—	101	8	no	—
276	C₂²⋊C₄	C₂²×D₁₀₁	1	8	yes	—
277	C₄²	—	101	8	no	—
278	C₄²	—	101	4	no	—
279	C₂³	—	2	2	no	—
280	C₂³	—	2	4	no	—
281	C₂³	—	2	2	no	—
282	C₂³	—	2	4	no	—
283	C₂³	—	2	2	no	—
284	C₂³	—	2	4	no	—
285	C₂³	—	101	4	no	—
286	C₂³	—	101	2	no	—
287	C₂³	—	202	4	no	—
288	C₂³	—	202	2	no	—
289	C₂³	—	202	4	no	—
290	C₂³	—	202	2	no	—
291	C₂³	—	202	2	no	—
292	C₂³	—	202	4	no	—
293	C₂³	C₂³×D₁₀₁	1	2	yes	—
294	C₂³	C₂³×D₁₀₁	1	4	yes	—
295	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
296	Q₈	—	101	16	no	—
297	D₄	—	2	8	no	—
298	D₄	—	4	8	no	—
299	D₄	—	404	8	no	—
300	D₄	—	404	8	no	—
301	D₄	—	202	16	no	—
302	D₄	—	202	16	no	—
303	D₄	—	202	8	no	—
304	D₄	—	202	16	no	—
305	D₄	—	202	8	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	4	no	—
308	C₂×C₄	—	2	8	no	—
309	C₂×C₄	—	101	8	no	—
310	C₂×C₄	—	101	4	no	—
311	C₂×C₄	—	101	2	no	—
312	C₂×C₄	—	101	4	no	—
313	C₂×C₄	—	101	2	no	—
314	C₂×C₄	—	101	2	no	—
315	C₂×C₄	—	202	16	no	—
316	C₂×C₄	—	202	16	no	—
317	C₂×C₄	—	202	2	no	—
318	C₂×C₄	—	202	2	no	—
319	C₂×C₄	—	202	8	no	—
320	C₂×C₄	D₄×D₁₀₁	1	4	yes	—
321	C₂×C₄	C₂³×D₁₀₁	1	4	yes	—
322	C₂×C₄	C₂³×D₁₀₁	1	2	yes	—
323	C₂×C₄	C₂³×D₁₀₁	1	2	yes	—
324	C₂²	—	2	2	no	—
325	C₂²	—	2	4	no	—
326	C₂²	—	2	2	no	—
327	C₂²	—	2	4	no	—
328	C₂²	—	2	2	no	—
329	C₂²	—	2	4	no	—
330	C₂²	—	4	4	no	—
331	C₂²	—	4	8	no	—
332	C₂²	—	404	8	no	—
333	C₂²	—	404	4	no	—
334	C₂²	—	202	4	no	—
335	C₂²	—	202	2	no	—
336	C₂²	—	202	4	no	—
337	C₂²	—	202	2	no	—
338	C₂²	—	202	2	no	—
339	C₂²	—	202	4	no	—
340	C₂²	C₂×D₄×D₁₀₁	1	2	yes	—
341	C₂²	#41×D₁₀₁	1	2	yes	—
342	C₂²	#15692300	1	2	yes	—
343	C₂²	C₂⁴×D₁₀₁	1	1	yes	characteristic
344	C₄	—	2	2	no	—
345	C₄	—	2	4	no	—
346	C₄	—	101	8	no	—
347	C₄	—	101	4	no	—
348	C₄	—	202	2	no	—
349	C₄	—	202	2	no	—
350	C₄	C₂×D₄×D₁₀₁	1	4	yes	—
351	C₂	—	4	2	no	—
352	C₂	—	4	4	no	—
353	C₂	—	404	4	no	—
354	C₂	—	404	2	no	—
355	C₂	#20265845	1	4	yes	direct product factor
356	C₂	C₂²×D₄×D₁₀₁	1	1	yes	characteristic
357	C₂	C₂×#41×D₁₀₁	1	1	yes	characteristic
358	C₂	C₂×#15692300	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂³×D₁₀₁
commutator, cosocle	C₂²×C₁₀₁	C₂⁵
Frattini	C₂²	C₂⁴×D₁₀₁
Fitting	C₂×#121×C₁₀₁	C₂
socle	C₂³×C₁₀₁	C₂⁴
hypercenter	C₂×#121	D₁₀₁
hypocenter	C₁₀₁	C₂×#550
LCS	G ▷ C₂²×C₁₀₁ ▷ C₁₀₁
UCS	C₁ ◁ C₂³ ◁ C₂×#121

Complements

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

N	H ≅ G/N	type
1. C₂²×#13108074	C₂	semidirect
2. C₂²×#13108073	C₂	semidirect
3. #20265845	C₂	direct (N × H)
4. C₂×#15692251	C₂	semidirect
5. C₂×#15692251	C₂	semidirect
6. C₂×#15692230	C₂	semidirect
7. C₂×#15692228	C₂	semidirect
8. C₂×#15692227	C₂	semidirect
9. C₂×#15692220	C₂	semidirect
10. C₂×C₄×C₂²⋊D₁₀₁	C₂	semidirect
11. C₂×#15692215	C₂	semidirect
12. C₂×#121×C₁₀₁	C₂	semidirect
14. C₂×#13108074	C₂²	semidirect
16. C₂×#13108073	C₂²	semidirect
28. #15692251	C₂²	semidirect
29. #15692251	C₂²	semidirect
30. #15692230	C₂²	semidirect
31. #15692228	C₂²	semidirect
32. #15692227	C₂²	semidirect
33. #15692220	C₂²	semidirect
34. C₄×C₂²⋊D₁₀₁	C₂²	semidirect
35. #15692215	C₂²	semidirect
46. #121×C₁₀₁	C₂²	semidirect
53. C₂×Dic₂₀₂	D₄	semidirect
134. C₂×Dic₁₀₁	#41	semidirect
143. Dic₂₀₂	C₂×D₄	semidirect
170. Dic₁₀₁	C₂×#41	semidirect
173. C₂×C₁₀₁	#550	semidirect
180. C₁₀₁	C₂×#550	semidirect
189. C₂×#121	D₁₀₁	semidirect
216. #121	C₂×D₁₀₁	semidirect
355. C₂	#20265845	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#13108074	2
C₂²×#13108073	2
#20265845	2
C₂×#15692251	2
C₂×#15692230	2
C₂×#15692228	2
C₂×#15692227	2
C₂×#15692220	2
C₂×C₄×C₂²⋊D₁₀₁	2
C₂×#15692215	2
C₂×#121×C₁₀₁	2
C₂×#550	101

Subgroups — C2×#20265845 #27184609

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20265845 #27184609