Subgroups — C₂²×#66061 #13006215

Order 1280.

11798 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	C₂³×Q₈×D₅	C₂	1	2	yes	maximal, complemented
2	C₂²×C₅×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#4092	C₂	1	2	yes	maximal, complemented
4	C₂×#66061	C₂	1	48	yes	maximal, direct product factor
5	C₂²×#4042	C₂	1	4	yes	maximal, complemented
6	C₂²×#4034	C₂	1	2	yes	maximal, complemented
7	C₂²×#4039	C₂	1	2	yes	maximal
8	C₂²×C₄×D₂₀	C₂	1	1	yes	maximal, characteristic
9	C₂²×C₄×Dic₁₀	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂³×C₅×Q₈	C₂²	1	2	yes	—
11	C₂²×Q₈×D₅	—	2	32	no	—
12	C₂²×Q₈×D₅	C₂²	1	48	yes	complemented
13	C₂³×D₂₀	C₂²	1	1	yes	characteristic
14	C₂³×C₄×D₅	C₂²	1	4	yes	—
15	C₂³×C₄×D₅	C₂²	1	2	yes	—
16	C₂³×Dic₁₀	C₂²	1	4	yes	—
17	C₂³×Dic₁₀	C₂²	1	1	yes	characteristic
18	C₂×C₅×C₄⋊Q₈	C₂²	1	24	yes	complemented
19	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	—
20	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	—
21	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
22	C₂×#4092	C₂²	1	48	yes	complemented
23	C₂²×#685	C₂²	1	4	yes	—
24	C₂²×#685	C₂²	1	2	yes	—
25	C₂²×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
26	C₂²×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
27	C₂²×#683	C₂²	1	4	yes	—
28	C₂²×#683	C₂²	1	2	yes	—
29	C₂²×C₄×Dic₅	C₂²	1	2	yes	—
30	#66061	C₂²	1	256	yes	direct product factor
31	C₂×#4042	C₂²	1	96	yes	complemented
32	C₂×#4039	C₂²	1	48	yes	—
33	C₂×#4034	C₂²	1	48	yes	complemented
34	C₂×C₄×D₂₀	C₂²	1	24	yes	—
35	C₂×C₄×Dic₁₀	C₂²	1	24	yes	complemented
36	C₂²×D₄×Q₈	—	5	1	no	maximal, Sylow
37	C₂⁴×D₅	C₂³	1	2	yes	—
38	C₂²×C₅×Q₈	—	2	16	no	—
39	C₂²×C₅×Q₈	C₂³	1	24	yes	—
40	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
41	C₂³×C₄×C₅	C₂³	1	4	yes	—
42	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
43	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
44	C₂³×Dic₅	C₂³	1	2	yes	—
45	C₂³×Dic₅	C₂³	1	2	yes	—
46	C₂³×Dic₅	C₂³	1	2	yes	—
47	C₂×Q₈×D₅	—	2	384	no	—
48	C₂×Q₈×D₅	C₂³	1	128	yes	complemented
49	C₂²×D₂₀	Q₈	1	16	yes	complemented
50	C₂²×D₂₀	C₂³	1	12	yes	—
51	C₂²×C₄×D₅	—	2	16	no	—
52	C₂²×C₄×D₅	—	2	32	no	—
53	C₂²×C₄×D₅	C₂³	1	24	yes	—
54	C₂²×C₄×D₅	C₂³	1	48	yes	—
55	C₂²×Dic₁₀	—	2	32	no	—
56	C₂²×Dic₁₀	D₄	1	16	yes	complemented
57	C₂²×Dic₁₀	C₂³	1	48	yes	—
58	C₂²×Dic₁₀	C₂³	1	12	yes	—
59	C₅×C₄⋊Q₈	C₂³	1	64	yes	complemented
60	C₂×C₅×C₄⋊C₄	C₂³	1	24	yes	—
61	C₂×C₅×C₄⋊C₄	C₂³	1	24	yes	—
62	C₂×C₄²×C₅	C₂³	1	12	yes	—
63	#4092	C₂³	1	128	yes	complemented
64	C₂×#685	C₂³	1	24	yes	—
65	C₂×#685	C₂³	1	48	yes	—
66	C₂×C₄⋊Dic₅	C₂³	1	12	yes	—
67	C₂×C₄⋊Dic₅	C₂³	1	12	yes	—
68	C₂×#683	C₂³	1	24	yes	—
69	C₂×#683	C₂³	1	48	yes	—
70	C₂×C₄×Dic₅	C₂³	1	24	yes	—
71	#4042	C₂³	1	256	yes	complemented
72	#4039	C₂³	1	128	yes	—
73	#4034	C₂³	1	128	yes	complemented
74	C₄×D₂₀	C₂³	1	64	yes	—
75	C₄×Dic₁₀	C₂³	1	64	yes	complemented
76	C₂⁴×Q₈	—	5	2	no	—
77	C₂×D₄×Q₈	—	5	48	no	—
78	C₂²×C₄⋊Q₈	—	5	2	no	—
79	C₂²×C₄⋊Q₈	D₅	1	1	yes	characteristic, complemented
80	C₂²×C₂²⋊Q₈	—	5	2	no	—
81	C₂²×C₂²⋊Q₈	—	5	4	no	—
82	C₂²×C₄×Q₈	—	5	1	no	—
83	C₂²×C₄×D₄	—	5	1	no	—
84	C₂²×C₄×D₄	—	5	2	no	—
85	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
86	C₂³×D₅	—	2	8	no	—
87	C₂³×D₅	—	2	8	no	—
88	C₂³×D₅	C₂×Q₈	1	16	yes	complemented
89	C₂³×D₅	C₂⁴	1	12	yes	—
90	C₂×C₅×Q₈	—	2	96	no	—
91	C₂×C₅×Q₈	C₂⁴	1	32	yes	—
92	C₂²×C₄×C₅	—	2	16	no	—
93	C₂²×C₄×C₅	—	2	4	no	—
94	C₂²×C₄×C₅	C₂×D₄	1	8	yes	—
95	C₂²×C₄×C₅	C₂×Q₈	1	8	yes	complemented
96	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
97	C₂²×C₄×C₅	C₂⁴	1	24	yes	—
98	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
99	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
100	C₂²×Dic₅	—	2	8	no	—
101	C₂²×Dic₅	—	2	8	no	—
102	C₂²×Dic₅	C₂×D₄	1	16	yes	—
103	C₂²×Dic₅	C₂⁴	1	12	yes	—
104	C₂²×Dic₅	C₂⁴	1	12	yes	—
105	C₂²×Dic₅	C₂⁴	1	12	yes	—
106	Q₈×D₅	—	2	512	no	—
107	C₂×D₂₀	C₂×Q₈	1	96	yes	complemented
108	C₂×D₂₀	C₂⁴	1	16	yes	—
109	C₂×C₄×D₅	—	2	96	no	—
110	C₂×C₄×D₅	—	2	192	no	—
111	C₂×C₄×D₅	C₂⁴	1	32	yes	—
112	C₂×C₄×D₅	C₂⁴	1	64	yes	—
113	C₂×Dic₁₀	—	2	192	no	—
114	C₂×Dic₁₀	C₂×D₄	1	96	yes	complemented
115	C₂×Dic₁₀	C₂⁴	1	64	yes	—
116	C₂×Dic₁₀	C₂⁴	1	16	yes	—
117	C₅×C₄⋊C₄	C₂⁴	1	32	yes	—
118	C₅×C₄⋊C₄	C₂⁴	1	32	yes	—
119	C₄²×C₅	C₂⁴	1	16	yes	—
120	#685	C₂⁴	1	32	yes	—
121	#685	C₂⁴	1	64	yes	—
122	C₄⋊Dic₅	C₂⁴	1	16	yes	—
123	C₄⋊Dic₅	C₂⁴	1	16	yes	—
124	#683	C₂⁴	1	32	yes	—
125	#683	C₂⁴	1	64	yes	—
126	C₄×Dic₅	C₂⁴	1	32	yes	—
127	C₂³×Q₈	—	5	48	no	—
128	C₂³×Q₈	—	5	1	no	—
129	C₂³×Q₈	—	5	4	no	—
130	C₂³×Q₈	—	10	32	no	—
131	C₂³×Q₈	C₂×D₅	1	2	yes	—
132	C₂³×D₄	—	5	1	no	—
133	C₂⁴×C₄	—	5	4	no	—
134	C₂⁴×C₄	—	5	2	no	—
135	D₄×Q₈	—	5	256	no	—
136	C₂×C₄⋊Q₈	—	5	48	no	—
137	C₂×C₄⋊Q₈	C₂×D₅	1	24	yes	complemented
138	C₂×C₂²⋊Q₈	—	5	48	no	—
139	C₂×C₂²⋊Q₈	—	5	96	no	—
140	C₂×C₄×Q₈	—	5	24	no	—
141	C₂×C₄×D₄	—	5	48	no	—
142	C₂×C₄×D₄	—	5	24	no	—
143	C₂²×C₄⋊C₄	—	5	2	no	—
144	C₂²×C₄⋊C₄	—	5	4	no	—
145	C₂²×C₄⋊C₄	—	5	1	no	—
146	C₂²×C₄⋊C₄	—	5	1	no	—
147	C₂²×C₄⋊C₄	C₂×D₅	1	2	yes	—
148	C₂²×C₄⋊C₄	C₂×D₅	1	2	yes	—
149	C₂²×C₂²⋊C₄	—	5	4	no	—
150	C₂²×C₂²⋊C₄	—	5	2	no	—
151	C₂²×C₄²	—	5	2	no	—
152	C₂²×C₄²	C₂×D₅	1	1	yes	characteristic
153	C₂³×C₅	C₂²×D₄	1	4	yes	—
154	C₂³×C₅	C₂²×Q₈	1	4	yes	—
155	C₂³×C₅	2₋¹⁺⁴	1	4	yes	—
156	C₂³×C₅	C₂⁵	1	3	yes	—
157	C₂²×D₅	—	2	64	no	—
158	C₂²×D₅	—	2	24	no	—
159	C₂²×D₅	—	2	24	no	—
160	C₂²×D₅	C₂²×Q₈	1	48	yes	complemented
161	C₂²×D₅	C₂⁵	1	8	yes	—
162	C₅×Q₈	—	2	64	no	—
163	C₂×C₄×C₅	—	2	48	no	—
164	C₂×C₄×C₅	—	2	12	no	—
165	C₂×C₄×C₅	C₂²×D₄	1	24	yes	—
166	C₂×C₄×C₅	C₂²×Q₈	1	24	yes	complemented
167	C₂×C₄×C₅	C₂⁵	1	4	yes	—
168	C₂×C₄×C₅	C₂⁵	1	16	yes	—
169	C₂×C₄×C₅	C₂⁵	1	4	yes	—
170	C₂×C₄×C₅	C₂⁵	1	4	yes	—
171	C₂×Dic₅	—	2	24	no	—
172	C₂×Dic₅	—	2	24	no	—
173	C₂×Dic₅	C₂²×D₄	1	48	yes	—
174	C₂×Dic₅	C₂⁵	1	8	yes	—
175	C₂×Dic₅	C₂⁵	1	8	yes	—
176	C₂×Dic₅	C₂⁵	1	8	yes	—
177	D₂₀	C₂²×Q₈	1	64	yes	complemented
178	C₄×D₅	—	2	64	no	—
179	C₄×D₅	—	2	128	no	—
180	Dic₁₀	—	2	128	no	—
181	Dic₁₀	C₂²×D₄	1	64	yes	complemented
182	C₂⁵	—	5	2	no	—
183	C₂²×Q₈	—	2	16	no	—
184	C₂²×Q₈	—	5	128	no	—
185	C₂²×Q₈	—	5	16	no	—
186	C₂²×Q₈	—	5	12	no	—
187	C₂²×Q₈	—	5	48	no	—
188	C₂²×Q₈	—	10	32	no	—
189	C₂²×Q₈	—	10	384	no	—
190	C₂²×Q₈	C₂²×D₅	1	24	yes	—
191	C₂²×D₄	—	5	16	no	—
192	C₂²×D₄	—	5	12	no	—
193	C₂³×C₄	—	5	2	no	—
194	C₂³×C₄	—	5	2	no	—
195	C₂³×C₄	—	5	2	no	—
196	C₂³×C₄	—	5	48	no	—
197	C₂³×C₄	—	5	24	no	—
198	C₂³×C₄	—	10	32	no	—
199	C₂³×C₄	—	10	16	no	—
200	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
201	C₂³×C₄	C₂²×D₅	1	4	yes	—
202	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
203	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
204	C₄⋊Q₈	—	5	128	no	—
205	C₄⋊Q₈	C₂²×D₅	1	64	yes	complemented
206	C₂²⋊Q₈	—	5	128	no	—
207	C₂²⋊Q₈	—	5	256	no	—
208	C₄×Q₈	—	5	64	no	—
209	C₄×D₄	—	5	128	no	—
210	C₄×D₄	—	5	64	no	—
211	C₂×C₄⋊C₄	—	5	12	no	—
212	C₂×C₄⋊C₄	—	5	24	no	—
213	C₂×C₄⋊C₄	—	5	12	no	—
214	C₂×C₄⋊C₄	—	5	48	no	—
215	C₂×C₄⋊C₄	C₂²×D₅	1	24	yes	—
216	C₂×C₄⋊C₄	C₂²×D₅	1	24	yes	—
217	C₂×C₂²⋊C₄	—	5	48	no	—
218	C₂×C₂²⋊C₄	—	5	24	no	—
219	C₂×C₄²	—	5	24	no	—
220	C₂×C₄²	C₂²×D₅	1	12	yes	—
221	C₂²×C₅	D₄×Q₈	1	16	yes	complemented
222	C₂²×C₅	C₂³×D₄	1	6	yes	—
223	C₂²×C₅	C₂³×Q₈	1	6	yes	—
224	C₂²×C₅	C₂×2₋¹⁺⁴	1	6	yes	—
225	C₂²×C₅	C₂⁶	1	1	yes	characteristic
226	C₂×D₅	—	2	8	no	—
227	C₂×D₅	—	2	8	no	—
228	C₂×D₅	—	2	96	no	—
229	C₂×D₅	C₂³×Q₈	1	16	yes	complemented
230	C₄×C₅	—	2	16	no	—
231	C₄×C₅	—	2	4	no	—
232	C₄×C₅	C₂³×D₄	1	8	yes	—
233	C₄×C₅	C₂³×Q₈	1	8	yes	complemented
234	Dic₅	—	2	8	no	—
235	Dic₅	—	2	8	no	—
236	Dic₅	C₂³×D₄	1	16	yes	—
237	C₂⁴	—	5	16	no	—
238	C₂⁴	—	5	12	no	—
239	C₂⁴	—	10	8	no	—
240	C₂⁴	—	10	8	no	—
241	C₂⁴	C₂³×D₅	1	1	yes	characteristic
242	C₂×Q₈	—	2	96	no	—
243	C₂×Q₈	—	5	96	no	—
244	C₂×Q₈	—	5	16	no	—
245	C₂×Q₈	—	5	64	no	—
246	C₂×Q₈	—	10	192	no	—
247	C₂×Q₈	—	10	512	no	—
248	C₂×Q₈	C₂³×D₅	1	32	yes	—
249	C₂×D₄	—	5	96	no	—
250	C₂×D₄	—	5	16	no	—
251	C₂²×C₄	—	2	16	no	—
252	C₂²×C₄	—	2	4	no	—
253	C₂²×C₄	—	5	16	no	—
254	C₂²×C₄	—	5	12	no	—
255	C₂²×C₄	—	5	12	no	—
256	C₂²×C₄	—	5	12	no	—
257	C₂²×C₄	—	5	64	no	—
258	C₂²×C₄	—	5	32	no	—
259	C₂²×C₄	—	10	192	no	—
260	C₂²×C₄	—	10	8	no	—
261	C₂²×C₄	—	10	8	no	—
262	C₂²×C₄	—	10	96	no	—
263	C₂²×C₄	D₄×D₅	1	8	yes	—
264	C₂²×C₄	Q₈×D₅	1	8	yes	complemented
265	C₂²×C₄	C₂³×D₅	1	6	yes	—
266	C₂²×C₄	C₂³×D₅	1	24	yes	—
267	C₂²×C₄	C₂³×D₅	1	6	yes	—
268	C₂²×C₄	C₂³×D₅	1	6	yes	—
269	C₄⋊C₄	—	5	16	no	—
270	C₄⋊C₄	—	5	32	no	—
271	C₄⋊C₄	—	5	16	no	—
272	C₄⋊C₄	—	5	64	no	—
273	C₄⋊C₄	C₂³×D₅	1	32	yes	—
274	C₄⋊C₄	C₂³×D₅	1	32	yes	—
275	C₂²⋊C₄	—	5	64	no	—
276	C₂²⋊C₄	—	5	32	no	—
277	C₄²	—	5	32	no	—
278	C₄²	C₂³×D₅	1	16	yes	—
279	C₂×C₅	C₂×D₄×Q₈	1	12	yes	complemented
280	C₂×C₅	C₂⁴×D₄	1	1	yes	characteristic
281	C₂×C₅	C₂⁴×Q₈	1	1	yes	characteristic
282	C₂×C₅	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
283	D₅	—	2	16	no	—
284	C₂³	—	5	48	no	—
285	C₂³	—	5	8	no	—
286	C₂³	—	10	64	no	—
287	C₂³	—	10	24	no	—
288	C₂³	—	10	24	no	—
289	C₂³	C₂×D₄×D₅	1	4	yes	—
290	C₂³	C₂×Q₈×D₅	1	4	yes	—
291	C₂³	#4147	1	4	yes	—
292	C₂³	C₂⁴×D₅	1	3	yes	—
293	Q₈	—	2	64	no	—
294	Q₈	—	5	64	no	—
295	Q₈	—	10	128	no	—
296	D₄	—	5	64	no	—
297	C₂×C₄	—	2	48	no	—
298	C₂×C₄	—	2	12	no	—
299	C₂×C₄	—	5	48	no	—
300	C₂×C₄	—	5	8	no	—
301	C₂×C₄	—	5	8	no	—
302	C₂×C₄	—	5	8	no	—
303	C₂×C₄	—	10	128	no	—
304	C₂×C₄	—	10	24	no	—
305	C₂×C₄	—	10	24	no	—
306	C₂×C₄	—	10	64	no	—
307	C₂×C₄	C₂×D₄×D₅	1	24	yes	—
308	C₂×C₄	C₂×Q₈×D₅	1	24	yes	complemented
309	C₂×C₄	C₂⁴×D₅	1	4	yes	—
310	C₂×C₄	C₂⁴×D₅	1	16	yes	—
311	C₂×C₄	C₂⁴×D₅	1	4	yes	—
312	C₂×C₄	C₂⁴×D₅	1	4	yes	—
313	C₅	C₂²×D₄×Q₈	1	1	yes	characteristic, complemented, Sylow
314	C₂²	—	5	16	no	—
315	C₂²	—	10	96	no	—
316	C₂²	—	10	8	no	—
317	C₂²	—	10	8	no	—
318	C₂²	#66061	1	16	yes	direct product factor
319	C₂²	C₂²×D₄×D₅	1	6	yes	—
320	C₂²	C₂²×Q₈×D₅	1	6	yes	—
321	C₂²	C₂×#4147	1	6	yes	—
322	C₂²	C₂⁵×D₅	1	1	yes	characteristic
323	C₄	—	2	16	no	—
324	C₄	—	2	4	no	—
325	C₄	—	5	16	no	—
326	C₄	—	10	8	no	—
327	C₄	—	10	8	no	—
328	C₄	C₂²×D₄×D₅	1	8	yes	—
329	C₄	C₂²×Q₈×D₅	1	8	yes	complemented
330	C₂	—	10	16	no	—
331	C₂	C₂×#66061	1	12	yes	direct product factor
332	C₂	C₂³×D₄×D₅	1	1	yes	characteristic
333	C₂	C₂³×Q₈×D₅	1	1	yes	characteristic
334	C₂	C₂²×#4147	1	1	yes	characteristic

	subgroup	G/H
center	C₂⁴	C₂³×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂²×C₅×C₄⋊Q₈	C₂
socle	C₂⁴×C₅	C₂⁴
prime radical	C₂³×D₂₀	C₂²
hypercenter	C₂²×C₄⋊Q₈	D₅
hypocenter	C₅	C₂²×D₄×Q₈
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄⋊Q₈

Complements

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

N	H ≅ G/N	type
1. C₂³×Q₈×D₅	C₂	semidirect
2. C₂²×C₅×C₄⋊Q₈	C₂	semidirect
3. C₂²×#4092	C₂	semidirect
4. C₂×#66061	C₂	direct (N × H)
5. C₂²×#4042	C₂	semidirect
6. C₂²×#4034	C₂	semidirect
9. C₂²×C₄×Dic₁₀	C₂	semidirect
12. C₂²×Q₈×D₅	C₂²	semidirect
18. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
22. C₂×#4092	C₂²	semidirect
30. #66061	C₂²	direct (N × H)
31. C₂×#4042	C₂²	semidirect
33. C₂×#4034	C₂²	semidirect
35. C₂×C₄×Dic₁₀	C₂²	semidirect
48. C₂×Q₈×D₅	C₂³	semidirect
49. C₂²×D₂₀	Q₈	semidirect
56. C₂²×Dic₁₀	D₄	semidirect
59. C₅×C₄⋊Q₈	C₂³	semidirect
63. #4092	C₂³	semidirect
71. #4042	C₂³	semidirect
73. #4034	C₂³	semidirect
75. C₄×Dic₁₀	C₂³	semidirect
79. C₂²×C₄⋊Q₈	D₅	semidirect
88. C₂³×D₅	C₂×Q₈	semidirect
95. C₂²×C₄×C₅	C₂×Q₈	semidirect
107. C₂×D₂₀	C₂×Q₈	semidirect
114. C₂×Dic₁₀	C₂×D₄	semidirect
137. C₂×C₄⋊Q₈	C₂×D₅	semidirect
160. C₂²×D₅	C₂²×Q₈	semidirect
166. C₂×C₄×C₅	C₂²×Q₈	semidirect
177. D₂₀	C₂²×Q₈	semidirect
181. Dic₁₀	C₂²×D₄	semidirect
205. C₄⋊Q₈	C₂²×D₅	semidirect
221. C₂²×C₅	D₄×Q₈	semidirect
229. C₂×D₅	C₂³×Q₈	semidirect
233. C₄×C₅	C₂³×Q₈	semidirect
264. C₂²×C₄	Q₈×D₅	semidirect
279. C₂×C₅	C₂×D₄×Q₈	semidirect
308. C₂×C₄	C₂×Q₈×D₅	semidirect
313. C₅	C₂²×D₄×Q₈	semidirect
318. C₂²	#66061	direct (N × H)
329. C₄	C₂²×Q₈×D₅	semidirect
331. C₂	C₂×#66061	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×Q₈×D₅	2
C₂²×C₅×C₄⋊Q₈	2
C₂²×#4092	2
C₂×#66061	2
C₂²×#4042	2
C₂²×#4034	2
C₂²×#4039	2
C₂²×C₄×D₂₀	2
C₂²×C₄×Dic₁₀	2
C₂²×D₄×Q₈	5

Subgroups — C22×#66061 #13006215

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#66061 #13006215