Subgroups — C₂×C₅×D₅×SD₁₆ #13106912

Order 1600.

664 conjugacy classes of subgroups.

The subgroup lattice has 311 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×C₅×D₄×D₅	C₂	1	1	yes	maximal, characteristic
3	C₂×C₅²×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₅×#688	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×#687	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×D₅×SD₁₆	C₂	1	8	yes	maximal, direct product factor
7	C₂×C₅×#677	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₅×C₈×D₅	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×C₅×D₅	—	2	1	no	—
10	C₂×C₅²×Q₈	C₂²	1	1	yes	characteristic, complemented
11	C₂×C₅²×D₄	C₂²	1	1	yes	characteristic
12	C₂×C₅×C₂²⋊D₅	—	2	1	no	—
13	C₅×Q₈×D₅	—	2	2	no	—
14	C₅×Q₈×D₅	C₂²	1	4	yes	complemented
15	C₅×D₄×D₅	—	2	2	no	—
16	C₅×D₄×D₅	C₂²	1	4	yes	—
17	C₂×C₅×D₂₀	C₂²	1	1	yes	characteristic
18	C₂×C₄×C₅×D₅	—	2	1	no	—
19	C₂×C₄×C₅×D₅	C₂²	1	1	yes	characteristic
20	C₂×C₅×Dic₁₀	—	2	1	no	—
21	C₂×C₅×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
22	C₅²×SD₁₆	C₂²	1	4	yes	complemented
23	C₂×C₅²×C₈	C₂²	1	1	yes	characteristic, complemented
24	C₅×#688	C₂²	1	4	yes	complemented
25	C₅×#687	C₂²	1	4	yes	complemented
26	C₂×C₅×#168	C₂²	1	1	yes	characteristic, complemented
27	C₅×#677	C₂²	1	4	yes	complemented
28	C₅×C₈×D₅	C₂²	1	4	yes	complemented
29	C₂²×C₅×SD₁₆	—	5	1	no	maximal
30	C₂×D₅×SD₁₆	C₅	1	1	yes	maximal, characteristic, direct product factor
31	C₂³×C₅²	—	2	1	no	—
32	C₂²×C₅×D₅	—	2	1	no	—
33	C₂²×C₅×D₅	—	2	4	no	—
34	C₂²×C₅×D₅	—	4	4	no	—
35	C₂²×C₅×D₅	D₄	1	1	yes	characteristic
36	C₅²×Q₈	—	2	1	no	—
37	C₅²×Q₈	C₂³	1	2	yes	complemented
38	C₅²×D₄	—	2	1	no	—
39	C₅²×D₄	C₂³	1	2	yes	—
40	C₂×C₄×C₅²	—	2	1	no	—
41	C₂×C₄×C₅²	C₂³	1	1	yes	characteristic
42	C₅×C₂²⋊D₅	—	2	4	no	—
43	C₂×C₅×Dic₅	—	2	1	no	—
44	C₂×C₅×Dic₅	D₄	1	1	yes	characteristic
45	C₅×D₂₀	—	2	1	no	—
46	C₅×D₂₀	C₂³	1	2	yes	—
47	C₄×C₅×D₅	—	2	4	no	—
48	C₄×C₅×D₅	D₄	1	2	yes	—
49	C₄×C₅×D₅	C₂³	1	2	yes	—
50	C₅×Dic₁₀	—	2	1	no	—
51	C₅×Dic₁₀	—	2	4	no	—
52	C₅×Dic₁₀	C₂³	1	2	yes	complemented
53	C₅²×C₈	C₂³	1	2	yes	complemented
54	C₅×#168	C₂³	1	2	yes	complemented
55	C₂²×C₅×Q₈	—	5	1	no	—
56	C₂²×C₅×D₄	—	5	1	no	—
57	C₂×Q₈×D₅	C₂×C₅	1	1	yes	characteristic, complemented
58	C₂×D₄×D₅	C₂×C₅	1	1	yes	characteristic
59	C₂×C₅×SD₁₆	—	2	2	no	—
60	C₂×C₅×SD₁₆	—	5	1	no	—
61	C₂×C₅×SD₁₆	—	5	1	no	—
62	C₂×C₅×SD₁₆	—	5	8	no	—
63	C₂×C₅×SD₁₆	—	5	1	no	—
64	C₂×C₅×SD₁₆	D₅	1	1	yes	characteristic, direct product factor
65	C₂×C₅×SD₁₆	C₂×C₅	1	1	yes	characteristic, complemented
66	C₂²×C₅×C₈	—	5	1	no	—
67	C₂×#688	C₂×C₅	1	1	yes	characteristic, complemented
68	C₂×#687	C₂×C₅	1	1	yes	characteristic, complemented
69	D₅×SD₁₆	C₂×C₅	1	8	yes	direct product factor
70	C₂×#677	C₂×C₅	1	1	yes	characteristic, complemented
71	C₂×C₈×D₅	C₂×C₅	1	1	yes	characteristic, complemented
72	C₂²×C₅²	—	2	2	no	—
73	C₂²×C₅²	—	4	2	no	—
74	C₂²×C₅²	C₂×D₄	1	1	yes	characteristic
75	C₂×C₅×D₅	—	2	2	no	—
76	C₂×C₅×D₅	—	4	8	no	—
77	C₂×C₅×D₅	—	4	2	no	—
78	C₂×C₅×D₅	SD₁₆	1	4	yes	direct product factor
79	C₂×C₅×D₅	C₂×D₄	1	2	yes	—
80	C₄×C₅²	—	2	2	no	—
81	C₄×C₅²	C₂×D₄	1	1	yes	characteristic
82	C₄×C₅²	C₂⁴	1	1	yes	characteristic
83	C₅×Dic₅	—	2	2	no	—
84	C₅×Dic₅	C₂×D₄	1	2	yes	—
85	C₂⁴×C₅	—	10	1	no	—
86	C₂³×D₅	—	2	1	no	—
87	C₂×C₅×Q₈	—	2	2	no	—
88	C₂×C₅×Q₈	—	5	4	no	—
89	C₂×C₅×Q₈	—	5	1	no	—
90	C₂×C₅×Q₈	—	10	1	no	—
91	C₂×C₅×Q₈	—	10	2	no	—
92	C₂×C₅×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
93	C₂×C₅×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
94	C₂×C₅×D₄	—	2	2	no	—
95	C₂×C₅×D₄	—	5	4	no	—
96	C₂×C₅×D₄	—	5	1	no	—
97	C₂×C₅×D₄	—	10	2	no	—
98	C₂×C₅×D₄	—	10	1	no	—
99	C₂×C₅×D₄	C₂×D₅	1	1	yes	characteristic
100	C₂×C₅×D₄	C₂²×C₅	1	1	yes	characteristic
101	C₂²×C₄×C₅	—	5	1	no	—
102	C₂²×C₄×C₅	—	10	1	no	—
103	C₂×C₂²⋊D₅	—	2	1	no	—
104	Q₈×D₅	—	2	2	no	—
105	Q₈×D₅	C₂²×C₅	1	4	yes	complemented
106	D₄×D₅	—	2	2	no	—
107	D₄×D₅	C₂²×C₅	1	4	yes	—
108	C₂×D₂₀	C₂²×C₅	1	1	yes	characteristic
109	C₂×C₄×D₅	—	2	1	no	—
110	C₂×C₄×D₅	C₂²×C₅	1	1	yes	characteristic
111	C₂×Dic₁₀	—	2	1	no	—
112	C₂×Dic₁₀	C₂²×C₅	1	1	yes	characteristic, complemented
113	C₅×SD₁₆	—	2	8	no	—
114	C₅×SD₁₆	—	5	4	no	—
115	C₅×SD₁₆	—	5	4	no	—
116	C₅×SD₁₆	—	5	4	no	—
117	C₅×SD₁₆	C₂×D₅	1	4	yes	direct product factor
118	C₅×SD₁₆	C₂²×C₅	1	4	yes	complemented
119	C₂×C₅×C₈	—	2	2	no	—
120	C₂×C₅×C₈	—	5	1	no	—
121	C₂×C₅×C₈	—	5	4	no	—
122	C₂×C₅×C₈	C₂×D₅	1	1	yes	characteristic, complemented
123	C₂×C₅×C₈	C₂²×C₅	1	1	yes	characteristic, complemented
124	#688	C₂²×C₅	1	4	yes	complemented
125	#687	C₂²×C₅	1	4	yes	complemented
126	C₂×#168	C₂²×C₅	1	1	yes	characteristic, complemented
127	#677	C₂²×C₅	1	4	yes	complemented
128	C₈×D₅	C₂²×C₅	1	4	yes	complemented
129	C₂²×SD₁₆	—	5	1	no	Sylow
130	C₂×C₅²	—	4	2	no	—
131	C₂×C₅²	C₂×SD₁₆	1	2	yes	complemented
132	C₂×C₅²	C₂²×D₄	1	1	yes	characteristic
133	C₅×D₅	—	4	2	no	—
134	C₅×D₅	C₂×SD₁₆	1	4	yes	direct product factor
135	C₂³×C₅	—	2	1	no	—
136	C₂³×C₅	—	2	1	no	—
137	C₂³×C₅	—	4	2	no	—
138	C₂³×C₅	—	5	1	no	—
139	C₂³×C₅	—	10	4	no	—
140	C₂³×C₅	—	10	1	no	—
141	C₂³×C₅	—	20	4	no	—
142	C₂²×D₅	—	2	1	no	—
143	C₂²×D₅	—	2	4	no	—
144	C₂²×D₅	—	4	4	no	—
145	C₂²×D₅	C₅×D₄	1	1	yes	characteristic
146	C₅×Q₈	—	2	1	no	—
147	C₅×Q₈	—	2	1	no	—
148	C₅×Q₈	—	2	4	no	—
149	C₅×Q₈	—	4	2	no	—
150	C₅×Q₈	—	5	2	no	—
151	C₅×Q₈	—	10	4	no	—
152	C₅×Q₈	—	10	1	no	—
153	C₅×Q₈	C₂²×D₅	1	2	yes	complemented
154	C₅×Q₈	C₂³×C₅	1	2	yes	complemented
155	C₅×D₄	—	2	1	no	—
156	C₅×D₄	—	2	1	no	—
157	C₅×D₄	—	2	4	no	—
158	C₅×D₄	—	4	2	no	—
159	C₅×D₄	—	5	2	no	—
160	C₅×D₄	—	10	4	no	—
161	C₅×D₄	—	10	1	no	—
162	C₅×D₄	C₂²×D₅	1	2	yes	—
163	C₅×D₄	C₂³×C₅	1	2	yes	—
164	C₂×C₄×C₅	—	2	1	no	—
165	C₂×C₄×C₅	—	2	1	no	—
166	C₂×C₄×C₅	—	2	2	no	—
167	C₂×C₄×C₅	—	4	2	no	—
168	C₂×C₄×C₅	—	5	1	no	—
169	C₂×C₄×C₅	—	5	2	no	—
170	C₂×C₄×C₅	—	5	2	no	—
171	C₂×C₄×C₅	—	10	4	no	—
172	C₂×C₄×C₅	—	10	1	no	—
173	C₂×C₄×C₅	C₂²×D₅	1	1	yes	characteristic
174	C₂×C₄×C₅	C₂³×C₅	1	1	yes	characteristic
175	C₂²⋊D₅	—	2	4	no	—
176	C₂×Dic₅	—	2	1	no	—
177	C₂×Dic₅	C₅×D₄	1	1	yes	characteristic
178	D₂₀	—	2	1	no	—
179	D₂₀	C₂³×C₅	1	2	yes	—
180	C₄×D₅	—	2	4	no	—
181	C₄×D₅	C₅×D₄	1	2	yes	—
182	C₄×D₅	C₂³×C₅	1	2	yes	—
183	Dic₁₀	—	2	1	no	—
184	Dic₁₀	—	2	4	no	—
185	Dic₁₀	C₂³×C₅	1	2	yes	complemented
186	C₅×C₈	—	2	4	no	—
187	C₅×C₈	—	5	2	no	—
188	C₅×C₈	C₂²×D₅	1	2	yes	complemented
189	C₅×C₈	C₂³×C₅	1	2	yes	complemented
190	#168	C₂³×C₅	1	2	yes	complemented
191	C₂²×Q₈	—	5	1	no	—
192	C₂²×D₄	—	5	1	no	—
193	C₂×SD₁₆	—	5	1	no	—
194	C₂×SD₁₆	—	5	1	no	—
195	C₂×SD₁₆	—	5	8	no	—
196	C₂×SD₁₆	—	5	1	no	—
197	C₂×SD₁₆	C₅×D₅	1	1	yes	characteristic, direct product factor
198	C₂²×C₈	—	5	1	no	—
199	C₅²	C₂²×SD₁₆	1	1	yes	characteristic, complemented, Sylow
200	C₂²×C₅	—	2	2	no	—
201	C₂²×C₅	—	2	2	no	—
202	C₂²×C₅	—	2	2	no	—
203	C₂²×C₅	—	4	4	no	—
204	C₂²×C₅	—	4	2	no	—
205	C₂²×C₅	—	4	2	no	—
206	C₂²×C₅	—	5	2	no	—
207	C₂²×C₅	—	5	4	no	—
208	C₂²×C₅	—	8	4	no	—
209	C₂²×C₅	—	10	2	no	—
210	C₂²×C₅	—	20	8	no	—
211	C₂²×C₅	—	20	2	no	—
212	C₂²×C₅	D₄×D₅	1	1	yes	characteristic
213	C₂²×C₅	C₂×C₅×D₄	1	1	yes	characteristic
214	C₂×D₅	—	2	2	no	—
215	C₂×D₅	—	4	2	no	—
216	C₂×D₅	—	4	8	no	—
217	C₂×D₅	C₅×SD₁₆	1	4	yes	direct product factor
218	C₂×D₅	C₂×C₅×D₄	1	2	yes	—
219	C₄×C₅	—	2	2	no	—
220	C₄×C₅	—	2	2	no	—
221	C₄×C₅	—	2	2	no	—
222	C₄×C₅	—	2	2	no	—
223	C₄×C₅	—	4	4	no	—
224	C₄×C₅	—	5	2	no	—
225	C₄×C₅	—	10	2	no	—
226	C₄×C₅	D₄×D₅	1	1	yes	characteristic
227	C₄×C₅	C₂×C₅×D₄	1	1	yes	characteristic
228	C₄×C₅	C₂³×D₅	1	1	yes	characteristic
229	C₄×C₅	C₂⁴×C₅	1	1	yes	characteristic
230	Dic₅	—	2	2	no	—
231	Dic₅	C₂×C₅×D₄	1	2	yes	—
232	C₂⁴	—	10	1	no	—
233	C₂×Q₈	—	5	4	no	—
234	C₂×Q₈	—	5	1	no	—
235	C₂×Q₈	—	10	1	no	—
236	C₂×Q₈	—	10	2	no	—
237	C₂×Q₈	C₂×C₅×D₅	1	1	yes	characteristic, complemented
238	C₂×D₄	—	5	4	no	—
239	C₂×D₄	—	5	1	no	—
240	C₂×D₄	—	10	2	no	—
241	C₂×D₄	—	10	1	no	—
242	C₂×D₄	C₂×C₅×D₅	1	1	yes	characteristic
243	C₂²×C₄	—	5	1	no	—
244	C₂²×C₄	—	10	1	no	—
245	SD₁₆	—	5	4	no	—
246	SD₁₆	—	5	4	no	—
247	SD₁₆	—	5	4	no	—
248	SD₁₆	C₂×C₅×D₅	1	4	yes	direct product factor
249	C₂×C₈	—	5	1	no	—
250	C₂×C₈	—	5	4	no	—
251	C₂×C₈	C₂×C₅×D₅	1	1	yes	characteristic, complemented
252	C₂×C₅	—	2	4	no	—
253	C₂×C₅	—	2	2	no	—
254	C₂×C₅	—	4	2	no	—
255	C₂×C₅	—	4	2	no	—
256	C₂×C₅	—	5	4	no	—
257	C₂×C₅	—	8	4	no	—
258	C₂×C₅	—	20	2	no	—
259	C₂×C₅	D₅×SD₁₆	1	2	yes	direct product factor
260	C₂×C₅	C₂×C₅×SD₁₆	1	2	yes	complemented
261	C₂×C₅	C₂×D₄×D₅	1	1	yes	characteristic
262	C₂×C₅	C₂²×C₅×D₄	1	1	yes	characteristic
263	D₅	—	4	2	no	—
264	D₅	C₂×C₅×SD₁₆	1	4	yes	direct product factor
265	C₂³	—	2	1	no	—
266	C₂³	—	5	1	no	—
267	C₂³	—	10	4	no	—
268	C₂³	—	10	1	no	—
269	C₂³	—	20	4	no	—
270	Q₈	—	2	1	no	—
271	Q₈	—	5	2	no	—
272	Q₈	—	10	4	no	—
273	Q₈	—	10	1	no	—
274	Q₈	C₂²×C₅×D₅	1	2	yes	complemented
275	D₄	—	2	1	no	—
276	D₄	—	5	2	no	—
277	D₄	—	10	4	no	—
278	D₄	—	10	1	no	—
279	D₄	C₂²×C₅×D₅	1	2	yes	—
280	C₂×C₄	—	2	1	no	—
281	C₂×C₄	—	5	1	no	—
282	C₂×C₄	—	5	2	no	—
283	C₂×C₄	—	5	2	no	—
284	C₂×C₄	—	10	4	no	—
285	C₂×C₄	—	10	1	no	—
286	C₂×C₄	C₂²×C₅×D₅	1	1	yes	characteristic
287	C₈	—	5	2	no	—
288	C₈	C₂²×C₅×D₅	1	2	yes	complemented
289	C₅	—	2	2	no	—
290	C₅	C₂×D₅×SD₁₆	1	1	yes	characteristic, direct product factor
291	C₅	C₂²×C₅×SD₁₆	1	1	yes	characteristic, complemented
292	C₂²	—	2	2	no	—
293	C₂²	—	4	2	no	—
294	C₂²	—	5	4	no	—
295	C₂²	—	5	2	no	—
296	C₂²	—	10	2	no	—
297	C₂²	—	20	8	no	—
298	C₂²	—	20	2	no	—
299	C₂²	C₅×D₄×D₅	1	1	yes	characteristic
300	C₄	—	2	2	no	—
301	C₄	—	5	2	no	—
302	C₄	—	10	2	no	—
303	C₄	C₅×D₄×D₅	1	1	yes	characteristic
304	C₄	C₂³×C₅×D₅	1	1	yes	characteristic
305	C₂	—	4	2	no	—
306	C₂	—	5	4	no	—
307	C₂	—	20	2	no	—
308	C₂	C₅×D₅×SD₁₆	1	2	yes	direct product factor
309	C₂	C₂×C₅×D₄×D₅	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₅	D₄×D₅
commutator, cosocle	C₄×C₅	C₂⁴×C₅
Frattini	C₄	C₂³×C₅×D₅
Fitting	C₂×C₅²×SD₁₆	C₂
socle	C₂²×C₅²	C₂×D₄
prime radical	C₂×C₅×D₄×D₅	C₂
hypercenter	C₂×C₅×SD₁₆	D₅
hypocenter	C₅	C₂²×C₅×SD₁₆
LCS	G ▷ C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₅ ◁ C₂×C₄×C₅ ◁ C₂×C₅×SD₁₆

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×Q₈×D₅	C₂	semidirect
3. C₂×C₅²×SD₁₆	C₂	semidirect
4. C₂×C₅×#688	C₂	semidirect
5. C₂×C₅×#687	C₂	semidirect
6. C₅×D₅×SD₁₆	C₂	direct (N × H)
7. C₂×C₅×#677	C₂	semidirect
8. C₂×C₅×C₈×D₅	C₂	semidirect
10. C₂×C₅²×Q₈	C₂²	semidirect
14. C₅×Q₈×D₅	C₂²	semidirect
21. C₂×C₅×Dic₁₀	C₂²	semidirect
22. C₅²×SD₁₆	C₂²	semidirect
23. C₂×C₅²×C₈	C₂²	semidirect
24. C₅×#688	C₂²	semidirect
25. C₅×#687	C₂²	semidirect
26. C₂×C₅×#168	C₂²	semidirect
27. C₅×#677	C₂²	semidirect
28. C₅×C₈×D₅	C₂²	semidirect
30. C₂×D₅×SD₁₆	C₅	direct (N × H)
37. C₅²×Q₈	C₂³	semidirect
52. C₅×Dic₁₀	C₂³	semidirect
53. C₅²×C₈	C₂³	semidirect
54. C₅×#168	C₂³	semidirect
57. C₂×Q₈×D₅	C₂×C₅	semidirect
64. C₂×C₅×SD₁₆	D₅	direct (N × H)
65. C₂×C₅×SD₁₆	C₂×C₅	semidirect
67. C₂×#688	C₂×C₅	semidirect
68. C₂×#687	C₂×C₅	semidirect
69. D₅×SD₁₆	C₂×C₅	direct (N × H)
70. C₂×#677	C₂×C₅	semidirect
71. C₂×C₈×D₅	C₂×C₅	semidirect
78. C₂×C₅×D₅	SD₁₆	direct (N × H)
92. C₂×C₅×Q₈	C₂×D₅	semidirect
93. C₂×C₅×Q₈	C₂²×C₅	semidirect
105. Q₈×D₅	C₂²×C₅	semidirect
112. C₂×Dic₁₀	C₂²×C₅	semidirect
117. C₅×SD₁₆	C₂×D₅	direct (N × H)
118. C₅×SD₁₆	C₂²×C₅	semidirect
122. C₂×C₅×C₈	C₂×D₅	semidirect
123. C₂×C₅×C₈	C₂²×C₅	semidirect
124. #688	C₂²×C₅	semidirect
125. #687	C₂²×C₅	semidirect
126. C₂×#168	C₂²×C₅	semidirect
127. #677	C₂²×C₅	semidirect
128. C₈×D₅	C₂²×C₅	semidirect
131. C₂×C₅²	C₂×SD₁₆	semidirect
134. C₅×D₅	C₂×SD₁₆	direct (N × H)
153. C₅×Q₈	C₂²×D₅	semidirect
154. C₅×Q₈	C₂³×C₅	semidirect
185. Dic₁₀	C₂³×C₅	semidirect
188. C₅×C₈	C₂²×D₅	semidirect
189. C₅×C₈	C₂³×C₅	semidirect
190. #168	C₂³×C₅	semidirect
197. C₂×SD₁₆	C₅×D₅	direct (N × H)
199. C₅²	C₂²×SD₁₆	semidirect
217. C₂×D₅	C₅×SD₁₆	direct (N × H)
237. C₂×Q₈	C₂×C₅×D₅	semidirect
248. SD₁₆	C₂×C₅×D₅	direct (N × H)
251. C₂×C₈	C₂×C₅×D₅	semidirect
259. C₂×C₅	D₅×SD₁₆	direct (N × H)
260. C₂×C₅	C₂×C₅×SD₁₆	semidirect
264. D₅	C₂×C₅×SD₁₆	direct (N × H)
274. Q₈	C₂²×C₅×D₅	semidirect
288. C₈	C₂²×C₅×D₅	semidirect
290. C₅	C₂×D₅×SD₁₆	direct (N × H)
291. C₅	C₂²×C₅×SD₁₆	semidirect
308. C₂	C₅×D₅×SD₁₆	direct (N × H)

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×C₅×D₄×D₅	2
C₂×C₅²×SD₁₆	2
C₂×C₅×#688	2
C₂×C₅×#687	2
C₅×D₅×SD₁₆	2
C₂×C₅×#677	2
C₂×C₅×C₈×D₅	2
C₂²×C₅×SD₁₆	5
C₂×D₅×SD₁₆	5

Subgroups — C2×C5×D5×SD16 #13106912

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×D₅×SD₁₆ #13106912