Subgroups — D₅×#4092 #13106514

Order 1600.

718 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×Q₈×D₅	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×D₅²	C₂	1	1	yes	maximal, characteristic
3	#11717266	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#4092	C₂	1	1	yes	maximal, characteristic, complemented
5	D₅×#685	C₂	1	2	yes	maximal
6	D₅×C₄⋊Dic₅	C₂	1	1	yes	maximal, characteristic, complemented
7	#11717008	C₂	1	2	yes	maximal, complemented
8	#11717006	C₂	1	2	yes	maximal, complemented
9	D₅×#683	C₂	1	2	yes	maximal, complemented
10	#11716990	C₂	1	1	yes	maximal, characteristic, complemented
11	#11716974	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×D₅²	C₂²	1	1	yes	characteristic
13	C₂×C₅²×Q₈	C₂²	1	1	yes	characteristic, complemented
14	C₂×C₄×C₅⋊D₅	C₂²	1	1	yes	characteristic
15	C₅×Q₈×D₅	—	2	4	no	—
16	C₂×C₄×C₅×D₅	C₂²	1	1	yes	characteristic
17	C₂×C₄×C₅×D₅	C₂²	1	2	yes	—
18	C₂×C₄×C₅×D₅	C₂²	1	1	yes	characteristic
19	C₂×C₅×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
20	C₂×C₅×Dic₁₀	C₂²	1	2	yes	complemented
21	C₂×#6036	C₂²	1	1	yes	characteristic
22	C₂×D₅×Dic₅	C₂²	1	1	yes	characteristic
23	C₂×D₅×Dic₅	C₂²	1	1	yes	characteristic
24	C₂×D₅×Dic₅	C₂²	1	2	yes	—
25	C₄×D₅²	—	2	4	no	—
26	#87808	C₂²	1	2	yes	—
27	C₄⋊#1039	C₂²	1	1	yes	characteristic, complemented
28	#87806	C₂²	1	2	yes	complemented
29	C₅×#685	C₂²	1	2	yes	—
30	C₅×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
31	C₅×#683	C₂²	1	2	yes	complemented
32	#87781	C₂²	1	2	yes	complemented
33	#87780	C₂²	1	2	yes	complemented
34	#87780	C₂²	1	2	yes	complemented
35	#87779	C₂²	1	2	yes	—
36	#87778	C₂²	1	2	yes	—
37	C₂×#4092	—	5	1	no	maximal
38	D₅×C₂²⋊Q₈	—	5	1	no	maximal
39	C₂²×C₅⋊D₅	C₂³	1	1	yes	characteristic
40	C₂²×C₅×D₅	C₂³	1	1	yes	characteristic
41	C₂²×C₅×D₅	C₂³	1	1	yes	characteristic
42	C₂×D₅²	—	2	2	no	—
43	C₂×D₅²	—	2	2	no	—
44	C₂×D₅²	Q₈	1	4	yes	complemented
45	C₅²×Q₈	—	2	2	no	—
46	C₂×C₄×C₅²	C₂³	1	2	yes	—
47	C₂×C₄×C₅²	C₂³	1	1	yes	characteristic
48	C₂×#1039	C₂³	1	2	yes	—
49	C₂×#1039	C₂³	1	1	yes	characteristic
50	C₄×C₅⋊D₅	—	2	2	no	—
51	C₂×C₅×Dic₅	C₂³	1	1	yes	characteristic
52	C₂×C₅×Dic₅	C₂³	1	2	yes	—
53	C₂×C₅×Dic₅	C₂³	1	2	yes	—
54	C₂×C₅×Dic₅	C₂³	1	1	yes	characteristic
55	C₄×C₅×D₅	—	2	4	no	—
56	C₄×C₅×D₅	—	2	2	no	—
57	C₄×C₅×D₅	D₄	1	4	yes	—
58	C₅×Dic₁₀	—	2	2	no	—
59	C₅×Dic₁₀	—	2	4	no	—
60	#6036	—	2	2	no	—
61	D₅×Dic₅	—	2	2	no	—
62	D₅×Dic₅	—	2	4	no	—
63	D₅×Dic₅	—	2	2	no	—
64	C₂²×C₅×Q₈	—	5	1	no	—
65	C₂×Q₈×D₅	D₅	1	1	yes	characteristic, complemented
66	C₂²×C₄×D₅	—	5	1	no	—
67	C₂²×C₄×D₅	—	5	1	no	—
68	C₅×C₂²⋊Q₈	—	5	1	no	—
69	#4092	—	5	1	no	—
70	#4092	—	5	1	no	—
71	#4092	—	5	1	no	—
72	#4092	—	5	2	no	—
73	#4092	—	5	1	no	—
74	#4092	—	5	2	no	—
75	#4092	—	10	2	no	—
76	#4092	D₅	1	1	yes	characteristic, direct product factor
77	C₂×#685	—	5	2	no	—
78	C₂×C₄⋊Dic₅	—	5	1	no	—
79	#4070	—	5	1	no	—
80	C₂×#683	—	5	2	no	—
81	#4043	—	5	1	no	—
82	#4042	—	5	2	no	—
83	D₅×C₄⋊C₄	—	5	2	no	—
84	D₅×C₄⋊C₄	—	5	1	no	—
85	D₅×C₂²⋊C₄	—	5	2	no	—
86	#4024	—	5	2	no	—
87	C₂²×C₅²	C₂⁴	1	1	yes	characteristic
88	C₂×C₅⋊D₅	—	2	1	no	—
89	C₂×C₅⋊D₅	—	2	1	no	—
90	C₂×C₅⋊D₅	C₂×Q₈	1	2	yes	complemented
91	C₂×C₅×D₅	—	2	1	no	—
92	C₂×C₅×D₅	—	2	1	no	—
93	C₂×C₅×D₅	C₂×D₄	1	2	yes	—
94	C₂×C₅×D₅	C₂×Q₈	1	2	yes	—
95	C₂×C₅×D₅	C₂×Q₈	1	2	yes	complemented
96	C₂×C₅×D₅	#41	1	2	yes	—
97	D₅²	—	2	8	no	—
98	C₄×C₅²	—	2	2	no	—
99	C₄×C₅²	C₂×D₄	1	2	yes	—
100	#1039	—	2	1	no	—
101	#1039	—	2	2	no	—
102	C₅×Dic₅	—	2	1	no	—
103	C₅×Dic₅	—	2	2	no	—
104	C₅×Dic₅	—	2	2	no	—
105	C₅×Dic₅	C₂×D₄	1	2	yes	—
106	C₂³×D₅	—	5	1	no	—
107	C₂³×D₅	—	5	1	no	—
108	C₂×C₅×Q₈	—	2	2	no	—
109	C₂×C₅×Q₈	—	5	2	no	—
110	C₂×C₅×Q₈	—	5	1	no	—
111	C₂×C₅×Q₈	—	10	4	no	—
112	C₂×C₅×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
113	C₂×C₅×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
114	C₂²×C₄×C₅	—	5	1	no	—
115	C₂²×C₄×C₅	—	5	1	no	—
116	C₂²×C₄×C₅	—	5	2	no	—
117	C₂²×Dic₅	—	5	1	no	—
118	C₂²×Dic₅	—	5	1	no	—
119	C₂²×Dic₅	—	5	2	no	—
120	Q₈×D₅	—	2	4	no	—
121	C₂×C₄×D₅	—	5	1	no	—
122	C₂×C₄×D₅	—	5	1	no	—
123	C₂×C₄×D₅	—	5	2	no	—
124	C₂×C₄×D₅	—	5	1	no	—
125	C₂×C₄×D₅	—	5	1	no	—
126	C₂×C₄×D₅	—	5	1	no	—
127	C₂×C₄×D₅	—	5	1	no	—
128	C₂×C₄×D₅	—	10	2	no	—
129	C₂×C₄×D₅	—	10	4	no	—
130	C₂×C₄×D₅	—	10	4	no	—
131	C₂×C₄×D₅	C₂×D₅	1	1	yes	characteristic
132	C₂×C₄×D₅	C₂×D₅	1	2	yes	—
133	C₂×C₄×D₅	C₂×D₅	1	1	yes	characteristic
134	C₂×Dic₁₀	C₂×D₅	1	2	yes	complemented
135	C₂×Dic₁₀	C₂×D₅	1	1	yes	characteristic, complemented
136	C₅×C₄⋊C₄	—	5	2	no	—
137	C₅×C₄⋊C₄	—	5	1	no	—
138	C₅×C₂²⋊C₄	—	5	2	no	—
139	C₂²⋊Dic₅	—	5	2	no	—
140	#685	—	5	2	no	—
141	#685	—	5	2	no	—
142	#685	—	5	2	no	—
143	#685	—	5	2	no	—
144	#685	—	5	2	no	—
145	#685	—	10	4	no	—
146	#685	C₂×D₅	1	2	yes	—
147	C₄⋊Dic₅	—	5	1	no	—
148	C₄⋊Dic₅	—	5	1	no	—
149	C₄⋊Dic₅	—	5	2	no	—
150	C₄⋊Dic₅	—	5	2	no	—
151	C₄⋊Dic₅	—	10	2	no	—
152	C₄⋊Dic₅	C₂×D₅	1	1	yes	characteristic, complemented
153	#683	—	5	2	no	—
154	#683	—	5	2	no	—
155	#683	—	5	2	no	—
156	#683	—	5	2	no	—
157	#683	—	5	2	no	—
158	#683	—	5	2	no	—
159	#683	—	10	4	no	—
160	#683	C₂×D₅	1	2	yes	complemented
161	C₂×C₂²⋊Q₈	—	25	1	no	Sylow
162	C₂×C₅²	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₅²	C₂²×Q₈	1	1	yes	characteristic
164	C₂×C₅²	C₂×#41	1	1	yes	characteristic
165	C₅⋊D₅	—	2	2	no	—
166	C₅×D₅	—	2	2	no	—
167	C₅×D₅	C₂²⋊Q₈	1	4	yes	complemented
168	C₂³×C₅	—	5	1	no	—
169	C₂³×C₅	—	5	1	no	—
170	C₂²×D₅	—	5	1	no	—
171	C₂²×D₅	—	5	1	no	—
172	C₂²×D₅	—	5	4	no	—
173	C₂²×D₅	—	5	4	no	—
174	C₂²×D₅	—	10	2	no	—
175	C₂²×D₅	—	10	2	no	—
176	C₂²×D₅	—	10	2	no	—
177	C₂²×D₅	—	10	2	no	—
178	C₂²×D₅	—	10	2	no	—
179	C₂²×D₅	C₂²×D₅	1	1	yes	characteristic
180	C₂²×D₅	C₂²×D₅	1	1	yes	characteristic
181	C₅×Q₈	—	2	2	no	—
182	C₅×Q₈	—	2	2	no	—
183	C₅×Q₈	—	4	4	no	—
184	C₅×Q₈	—	10	4	no	—
185	C₅×Q₈	—	10	2	no	—
186	C₂×C₄×C₅	—	2	2	no	—
187	C₂×C₄×C₅	—	2	4	no	—
188	C₂×C₄×C₅	—	5	1	no	—
189	C₂×C₄×C₅	—	5	4	no	—
190	C₂×C₄×C₅	—	5	2	no	—
191	C₂×C₄×C₅	—	5	1	no	—
192	C₂×C₄×C₅	—	5	2	no	—
193	C₂×C₄×C₅	—	10	4	no	—
194	C₂×C₄×C₅	—	10	2	no	—
195	C₂×C₄×C₅	C₂²×D₅	1	2	yes	—
196	C₂×C₄×C₅	C₂²×D₅	1	2	yes	—
197	C₂×C₄×C₅	C₂²×D₅	1	1	yes	characteristic
198	C₂×C₄×C₅	C₂²×D₅	1	1	yes	characteristic
199	C₂×Dic₅	—	5	1	no	—
200	C₂×Dic₅	—	5	2	no	—
201	C₂×Dic₅	—	5	2	no	—
202	C₂×Dic₅	—	5	1	no	—
203	C₂×Dic₅	—	10	2	no	—
204	C₂×Dic₅	—	10	4	no	—
205	C₂×Dic₅	—	10	2	no	—
206	C₂×Dic₅	—	10	4	no	—
207	C₂×Dic₅	—	10	2	no	—
208	C₂×Dic₅	C₂²×D₅	1	1	yes	characteristic
209	C₂×Dic₅	C₂²×D₅	1	2	yes	—
210	C₂×Dic₅	C₂²×D₅	1	2	yes	—
211	C₂×Dic₅	C₂²×D₅	1	1	yes	characteristic
212	C₄×D₅	—	2	4	no	—
213	C₄×D₅	—	2	2	no	—
214	C₄×D₅	—	10	2	no	—
215	C₄×D₅	—	10	2	no	—
216	C₄×D₅	—	10	4	no	—
217	C₄×D₅	—	10	2	no	—
218	C₄×D₅	—	10	2	no	—
219	C₄×D₅	—	10	2	no	—
220	C₄×D₅	—	10	2	no	—
221	C₄×D₅	—	20	4	no	—
222	C₄×D₅	C₂²⋊D₅	1	4	yes	—
223	Dic₁₀	—	2	2	no	—
224	Dic₁₀	—	2	4	no	—
225	C₂²×Q₈	—	5	1	no	—
226	C₂³×C₄	—	25	1	no	—
227	C₂²⋊Q₈	—	5	1	no	—
228	C₂²⋊Q₈	—	25	2	no	—
229	C₂²⋊Q₈	—	25	2	no	—
230	C₂²⋊Q₈	—	25	1	no	—
231	C₂²⋊Q₈	—	25	1	no	—
232	C₂²⋊Q₈	—	25	1	no	—
233	C₂×C₄⋊C₄	—	25	2	no	—
234	C₂×C₄⋊C₄	—	25	1	no	—
235	C₂×C₂²⋊C₄	—	25	2	no	—
236	C₅²	C₂×C₂²⋊Q₈	1	1	yes	characteristic, complemented, Sylow
237	C₂²×C₅	—	2	2	no	—
238	C₂²×C₅	—	5	2	no	—
239	C₂²×C₅	—	5	2	no	—
240	C₂²×C₅	—	5	2	no	—
241	C₂²×C₅	—	5	2	no	—
242	C₂²×C₅	—	10	1	no	—
243	C₂²×C₅	—	10	1	no	—
244	C₂²×C₅	C₂³×D₅	1	1	yes	characteristic
245	C₂²×C₅	C₂³×D₅	1	1	yes	characteristic
246	C₂×D₅	—	2	1	no	—
247	C₂×D₅	—	2	1	no	—
248	C₂×D₅	—	5	2	no	—
249	C₂×D₅	—	5	2	no	—
250	C₂×D₅	—	10	4	no	—
251	C₂×D₅	—	10	8	no	—
252	C₂×D₅	—	10	1	no	—
253	C₂×D₅	—	10	1	no	—
254	C₂×D₅	—	10	1	no	—
255	C₂×D₅	—	10	1	no	—
256	C₂×D₅	—	10	8	no	—
257	C₂×D₅	—	20	2	no	—
258	C₂×D₅	—	20	2	no	—
259	C₂×D₅	Q₈×D₅	1	2	yes	—
260	C₂×D₅	Q₈×D₅	1	2	yes	complemented
261	C₂×D₅	#713	1	2	yes	—
262	C₂×D₅	C₂×C₂²⋊D₅	1	2	yes	—
263	C₄×C₅	—	2	2	no	—
264	C₄×C₅	—	2	2	no	—
265	C₄×C₅	—	2	4	no	—
266	C₄×C₅	—	4	4	no	—
267	C₄×C₅	—	5	2	no	—
268	C₄×C₅	—	10	2	no	—
269	C₄×C₅	—	10	2	no	—
270	C₄×C₅	—	10	1	no	—
271	C₄×C₅	D₄×D₅	1	2	yes	—
272	C₄×C₅	C₂×C₂²⋊D₅	1	2	yes	—
273	Dic₅	—	2	1	no	—
274	Dic₅	—	2	2	no	—
275	Dic₅	—	2	2	no	—
276	Dic₅	—	10	1	no	—
277	Dic₅	—	10	2	no	—
278	Dic₅	—	10	2	no	—
279	Dic₅	—	10	1	no	—
280	Dic₅	—	20	2	no	—
281	Dic₅	—	20	4	no	—
282	Dic₅	C₂×C₂²⋊D₅	1	2	yes	—
283	C₂⁴	—	25	1	no	—
284	C₂×Q₈	—	5	2	no	—
285	C₂×Q₈	—	5	1	no	—
286	C₂×Q₈	—	10	4	no	—
287	C₂×Q₈	D₅²	1	1	yes	characteristic, complemented
288	C₂²×C₄	—	5	1	no	—
289	C₂²×C₄	—	5	2	no	—
290	C₂²×C₄	—	5	1	no	—
291	C₂²×C₄	—	25	1	no	—
292	C₂²×C₄	—	25	2	no	—
293	C₂²×C₄	—	25	1	no	—
294	C₂²×C₄	—	25	1	no	—
295	C₂²×C₄	—	25	1	no	—
296	C₂²×C₄	—	50	4	no	—
297	C₄⋊C₄	—	5	2	no	—
298	C₄⋊C₄	—	5	1	no	—
299	C₄⋊C₄	—	25	2	no	—
300	C₄⋊C₄	—	25	2	no	—
301	C₄⋊C₄	—	25	2	no	—
302	C₄⋊C₄	—	25	2	no	—
303	C₄⋊C₄	—	25	1	no	—
304	C₂²⋊C₄	—	5	2	no	—
305	C₂²⋊C₄	—	25	2	no	—
306	C₂²⋊C₄	—	25	2	no	—
307	C₂²⋊C₄	—	25	2	no	—
308	C₂×C₅	—	2	2	no	—
309	C₂×C₅	—	2	2	no	—
310	C₂×C₅	—	2	2	no	—
311	C₂×C₅	—	5	4	no	—
312	C₂×C₅	—	10	2	no	—
313	C₂×C₅	C₂×D₄×D₅	1	1	yes	characteristic
314	C₂×C₅	C₂×Q₈×D₅	1	1	yes	characteristic
315	C₂×C₅	C₂×Q₈×D₅	1	1	yes	characteristic
316	C₂×C₅	C₂×#713	1	1	yes	characteristic
317	C₂×C₅	D₅×#41	1	1	yes	characteristic
318	C₂×C₅	C₂²×C₂²⋊D₅	1	1	yes	characteristic
319	D₅	—	2	2	no	—
320	D₅	—	10	2	no	—
321	D₅	—	10	2	no	—
322	D₅	—	20	4	no	—
323	D₅	#4092	1	4	yes	direct product factor
324	C₂³	—	5	1	no	—
325	C₂³	—	5	1	no	—
326	C₂³	—	25	4	no	—
327	C₂³	—	25	1	no	—
328	C₂³	—	50	2	no	—
329	C₂³	—	50	2	no	—
330	Q₈	—	2	2	no	—
331	Q₈	—	10	4	no	—
332	Q₈	—	10	2	no	—
333	C₂×C₄	—	5	1	no	—
334	C₂×C₄	—	5	4	no	—
335	C₂×C₄	—	5	2	no	—
336	C₂×C₄	—	5	2	no	—
337	C₂×C₄	—	5	1	no	—
338	C₂×C₄	—	10	4	no	—
339	C₂×C₄	—	10	2	no	—
340	C₂×C₄	—	25	2	no	—
341	C₂×C₄	—	25	1	no	—
342	C₂×C₄	—	50	2	no	—
343	C₂×C₄	—	50	2	no	—
344	C₂×C₄	—	50	2	no	—
345	C₂×C₄	—	50	4	no	—
346	C₂×C₄	—	50	2	no	—
347	C₂×C₄	C₂×D₅²	1	2	yes	—
348	C₂×C₄	C₂×D₅²	1	1	yes	characteristic
349	C₅	—	2	2	no	—
350	C₅	D₅×C₂²⋊Q₈	1	1	yes	characteristic, complemented
351	C₅	C₂×#4092	1	1	yes	characteristic, complemented
352	C₂²	—	5	2	no	—
353	C₂²	—	5	2	no	—
354	C₂²	—	5	2	no	—
355	C₂²	—	5	2	no	—
356	C₂²	—	10	1	no	—
357	C₂²	—	10	1	no	—
358	C₂²	—	25	2	no	—
359	C₂²	—	50	8	no	—
360	C₂²	—	50	1	no	—
361	C₂²	—	50	1	no	—
362	C₂²	C₂²×D₅²	1	1	yes	characteristic
363	C₄	—	2	2	no	—
364	C₄	—	5	2	no	—
365	C₄	—	10	2	no	—
366	C₄	—	10	1	no	—
367	C₄	—	10	2	no	—
368	C₄	—	50	2	no	—
369	C₄	—	50	1	no	—
370	C₄	D₅×C₂²⋊D₅	1	2	yes	—
371	C₂	—	5	4	no	—
372	C₂	—	10	2	no	—
373	C₂	—	50	2	no	—
374	C₂	Q₈×D₅²	1	1	yes	characteristic
375	C₂	D₅×#713	1	1	yes	characteristic
376	C₂	C₂×D₅×C₂²⋊D₅	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂²×D₅²
commutator, socle, cosocle	C₂²×C₅²	C₂⁴
Fitting	C₂×C₅²×Q₈	C₂²
prime radical	C₂²×D₅²	C₂²
hypercenter	C₂×Q₈	D₅²
hypocenter	C₅²	C₂×C₂²⋊Q₈
LCS	G ▷ C₂²×C₅² ▷ C₅²
UCS	C₁ ◁ C₂² ◁ C₂×Q₈

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×Q₈×D₅	C₂	semidirect
3. #11717266	C₂	semidirect
4. C₅×#4092	C₂	semidirect
6. D₅×C₄⋊Dic₅	C₂	semidirect
7. #11717008	C₂	semidirect
8. #11717006	C₂	semidirect
9. D₅×#683	C₂	semidirect
10. #11716990	C₂	semidirect
11. #11716974	C₂	semidirect
13. C₂×C₅²×Q₈	C₂²	semidirect
19. C₂×C₅×Dic₁₀	C₂²	semidirect
20. C₂×C₅×Dic₁₀	C₂²	semidirect
27. C₄⋊#1039	C₂²	semidirect
28. #87806	C₂²	semidirect
30. C₅×C₄⋊Dic₅	C₂²	semidirect
31. C₅×#683	C₂²	semidirect
32. #87781	C₂²	semidirect
33. #87780	C₂²	semidirect
34. #87780	C₂²	semidirect
44. C₂×D₅²	Q₈	semidirect
65. C₂×Q₈×D₅	D₅	semidirect
76. #4092	D₅	direct (N × H)
90. C₂×C₅⋊D₅	C₂×Q₈	semidirect
95. C₂×C₅×D₅	C₂×Q₈	semidirect
112. C₂×C₅×Q₈	C₂×D₅	semidirect
113. C₂×C₅×Q₈	C₂×D₅	semidirect
134. C₂×Dic₁₀	C₂×D₅	semidirect
135. C₂×Dic₁₀	C₂×D₅	semidirect
152. C₄⋊Dic₅	C₂×D₅	semidirect
160. #683	C₂×D₅	semidirect
167. C₅×D₅	C₂²⋊Q₈	semidirect
236. C₅²	C₂×C₂²⋊Q₈	semidirect
260. C₂×D₅	Q₈×D₅	semidirect
287. C₂×Q₈	D₅²	semidirect
323. D₅	#4092	direct (N × H)
350. C₅	D₅×C₂²⋊Q₈	semidirect
351. C₅	C₂×#4092	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×Q₈×D₅	2
C₂×C₄×D₅²	2
#11717266	2
C₅×#4092	2
D₅×#685	2
D₅×C₄⋊Dic₅	2
#11717008	2
#11717006	2
D₅×#683	2
#11716990	2
#11716974	2
C₂×#4092	5
D₅×C₂²⋊Q₈	5

Subgroups — D5×#4092 #13106514

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#4092 #13106514