Subgroups — C₂×C₅×#2180 #11956186

Order 1280.

646 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	C₂×C₅×#510	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×#444	C₂	1	1	yes	maximal, characteristic
3	C₂×C₅×#441	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2180	C₂	1	8	yes	maximal, direct product factor
5	C₂×C₅×#365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₅×#362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₅×#360	C₂	1	1	yes	maximal, characteristic
8	C₂×C₅×#347	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₅×#135	C₂²	1	1	yes	characteristic
10	C₂²×C₅×Q₁₆	C₂²	1	1	yes	characteristic
11	C₂×C₅×#131	—	2	1	no	—
12	C₂×C₄×C₅×Q₈	—	2	1	no	—
13	C₅×#510	C₄	1	4	yes	complemented
14	C₅×#510	C₂²	1	4	yes	—
15	C₂×C₅×Q₃₂	C₄	1	2	yes	complemented
16	C₂×C₅×SD₃₂	C₄	1	2	yes	complemented
17	C₂×C₅×M₃₂	C₂²	1	1	yes	characteristic
18	C₂×C₅×M₃₂	C₂²	1	1	yes	characteristic
19	C₅×#444	—	2	2	no	—
20	C₅×#444	C₂²	1	4	yes	—
21	C₅×#441	—	2	2	no	—
22	C₅×#441	C₂²	1	4	yes	complemented
23	C₂×C₅×#108	C₂²	1	1	yes	characteristic
24	C₂×C₅×#106	C₂²	1	1	yes	characteristic
25	C₂×C₅×#104	—	2	1	no	—
26	C₂×C₅×#103	—	2	1	no	—
27	C₂×C₅×#97	C₂²	1	1	yes	characteristic
28	C₅×#365	C₂²	1	4	yes	complemented
29	C₅×#362	C₂²	1	4	yes	complemented
30	C₅×#360	C₂²	1	4	yes	—
31	C₅×#347	C₂²	1	4	yes	complemented
32	C₂×#2180	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₅×#41	—	2	1	no	—
34	C₂²×C₅×Q₈	—	2	1	no	—
35	C₅×#135	—	2	1	no	—
36	C₅×#135	—	2	1	no	—
37	C₅×#135	C₂×C₄	1	2	yes	—
38	C₅×#135	C₂³	1	2	yes	—
39	C₂×C₅×Q₁₆	—	2	1	no	—
40	C₂×C₅×Q₁₆	—	2	1	no	—
41	C₂×C₅×Q₁₆	—	2	1	no	—
42	C₂×C₅×Q₁₆	C₂×C₄	1	2	yes	—
43	C₂×C₅×Q₁₆	C₂×C₄	1	1	yes	characteristic
44	C₂×C₅×Q₁₆	C₂×C₄	1	2	yes	—
45	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
46	C₂×C₅×SD₁₆	—	2	1	no	—
47	C₂×C₅×D₈	C₂×C₄	1	1	yes	characteristic
48	C₅×#131	—	2	4	no	—
49	C₅×#131	—	4	2	no	—
50	C₂×C₅×M₁₆	—	2	1	no	—
51	C₂×C₅×M₁₆	—	4	1	no	—
52	C₂²×C₅×C₈	—	4	1	no	—
53	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
54	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
55	C₄×C₅×Q₈	—	2	4	no	—
56	C₄×C₅×Q₈	—	4	2	no	—
57	C₂×C₅×C₄⋊C₄	—	2	1	no	—
58	C₂×C₅×C₄⋊C₄	—	4	1	no	—
59	C₂×C₄²×C₅	—	4	1	no	—
60	C₂×C₄²×C₅	D₄	1	1	yes	characteristic
61	C₅×Q₃₂	C₂×C₄	1	8	yes	complemented
62	C₅×SD₃₂	C₂×C₄	1	8	yes	complemented
63	C₅×M₃₂	—	2	1	no	—
64	C₅×M₃₂	C₂×C₄	1	2	yes	—
65	C₅×M₃₂	C₂³	1	2	yes	—
66	C₅×M₃₂	C₂³	1	2	yes	—
67	C₂×C₅×C₁₆	—	2	1	no	—
68	C₂×C₅×C₁₆	C₂×C₄	1	2	yes	—
69	C₅×#108	—	2	1	no	—
70	C₅×#108	C₂³	1	2	yes	—
71	C₅×#106	—	2	1	no	—
72	C₅×#106	C₂³	1	2	yes	—
73	C₅×#104	—	2	4	no	—
74	C₅×#103	—	2	4	no	—
75	C₅×#97	D₄	1	2	yes	—
76	C₅×#97	C₂³	1	2	yes	—
77	C₂×#510	C₂×C₅	1	1	yes	characteristic
78	C₂×#444	C₂×C₅	1	1	yes	characteristic
79	C₂×#441	C₂×C₅	1	1	yes	characteristic, complemented
80	#2180	C₂×C₅	1	8	yes	direct product factor
81	C₂×#365	C₂×C₅	1	1	yes	characteristic, complemented
82	C₂×#362	C₂×C₅	1	1	yes	characteristic, complemented
83	C₂×#360	C₂×C₅	1	1	yes	characteristic
84	C₂×#347	C₂×C₅	1	1	yes	characteristic, complemented
85	C₅×#41	—	2	2	no	—
86	C₅×#41	—	2	2	no	—
87	C₅×#41	—	4	1	no	—
88	C₅×#41	—	4	1	no	—
89	C₂×C₅×Q₈	—	2	1	no	—
90	C₂×C₅×Q₈	—	2	2	no	—
91	C₂×C₅×Q₈	—	2	2	no	—
92	C₂×C₅×Q₈	—	2	2	no	—
93	C₂×C₅×Q₈	—	4	1	no	—
94	C₂×C₅×Q₈	—	4	1	no	—
95	C₂×C₅×Q₈	—	4	1	no	—
96	C₂×C₅×D₄	—	2	1	no	—
97	C₂×C₅×D₄	—	4	1	no	—
98	C₂²×C₄×C₅	—	2	1	no	—
99	C₂²×C₄×C₅	—	4	1	no	—
100	C₂²×C₄×C₅	—	4	1	no	—
101	C₂²×C₄×C₅	—	4	1	no	—
102	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
103	C₅×Q₁₆	—	2	2	no	—
104	C₅×Q₁₆	—	2	2	no	—
105	C₅×Q₁₆	—	2	1	no	—
106	C₅×Q₁₆	—	2	2	no	—
107	C₅×Q₁₆	C₂²×C₄	1	4	yes	—
108	C₅×Q₁₆	C₂²×C₄	1	2	yes	—
109	C₅×SD₁₆	—	2	2	no	—
110	C₅×SD₁₆	—	2	2	no	—
111	C₅×D₈	—	2	1	no	—
112	C₅×D₈	C₂²×C₄	1	2	yes	—
113	C₅×M₁₆	—	2	2	no	—
114	C₅×M₁₆	—	4	4	no	—
115	C₅×M₁₆	—	4	1	no	—
116	C₂×C₅×C₈	—	2	1	no	—
117	C₂×C₅×C₈	—	2	1	no	—
118	C₂×C₅×C₈	—	4	4	no	—
119	C₂×C₅×C₈	—	4	1	no	—
120	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
121	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
122	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
123	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
124	C₂×C₅×C₈	#41	1	1	yes	characteristic
125	C₂×C₅×C₈	#41	1	1	yes	characteristic
126	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
127	C₅×C₄⋊C₄	—	2	2	no	—
128	C₅×C₄⋊C₄	—	4	4	no	—
129	C₅×C₄⋊C₄	—	4	1	no	—
130	C₄²×C₅	—	2	1	no	—
131	C₄²×C₅	—	4	4	no	—
132	C₄²×C₅	C₂×D₄	1	2	yes	—
133	C₅×C₁₆	—	2	2	no	—
134	C₅×C₁₆	C₂²×C₄	1	4	yes	—
135	C₂×#135	C₂²×C₅	1	1	yes	characteristic
136	C₂²×Q₁₆	C₂²×C₅	1	1	yes	characteristic
137	C₂×#131	—	2	1	no	—
138	C₂×C₄×Q₈	—	2	1	no	—
139	#510	C₄×C₅	1	4	yes	complemented
140	#510	C₂²×C₅	1	4	yes	—
141	C₂×Q₃₂	C₄×C₅	1	2	yes	complemented
142	C₂×SD₃₂	C₄×C₅	1	2	yes	complemented
143	C₂×M₃₂	C₂²×C₅	1	1	yes	characteristic
144	C₂×M₃₂	C₂²×C₅	1	1	yes	characteristic
145	#444	—	2	2	no	—
146	#444	C₂²×C₅	1	4	yes	—
147	#441	—	2	2	no	—
148	#441	C₂²×C₅	1	4	yes	complemented
149	C₂×#108	C₂²×C₅	1	1	yes	characteristic
150	C₂×#106	C₂²×C₅	1	1	yes	characteristic
151	C₂×#104	—	2	1	no	—
152	C₂×#103	—	2	1	no	—
153	C₂×#97	C₂²×C₅	1	1	yes	characteristic
154	#365	C₂²×C₅	1	4	yes	complemented
155	#362	C₂²×C₅	1	4	yes	complemented
156	#360	C₂²×C₅	1	4	yes	—
157	#347	C₂²×C₅	1	4	yes	complemented
158	C₂³×C₅	—	4	1	no	—
159	C₂³×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
160	C₅×Q₈	—	2	2	no	—
161	C₅×Q₈	—	2	4	no	—
162	C₅×Q₈	—	4	2	no	—
163	C₅×Q₈	—	4	2	no	—
164	C₅×Q₈	—	4	2	no	—
165	C₅×Q₈	—	4	1	no	—
166	C₅×D₄	—	2	2	no	—
167	C₅×D₄	—	4	2	no	—
168	C₅×D₄	—	4	2	no	—
169	C₅×D₄	—	4	1	no	—
170	C₂×C₄×C₅	—	2	2	no	—
171	C₂×C₄×C₅	—	4	2	no	—
172	C₂×C₄×C₅	—	4	2	no	—
173	C₂×C₄×C₅	—	4	2	no	—
174	C₂×C₄×C₅	—	4	1	no	—
175	C₂×C₄×C₅	—	4	2	no	—
176	C₂×C₄×C₅	—	4	2	no	—
177	C₂×C₄×C₅	—	4	2	no	—
178	C₂×C₄×C₅	—	4	2	no	—
179	C₂×C₄×C₅	—	8	2	no	—
180	C₂×C₄×C₅	C₄×D₄	1	1	yes	characteristic
181	C₂×C₄×C₅	C₄×D₄	1	1	yes	characteristic
182	C₂×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
183	C₂×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
184	C₂×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
185	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
186	C₅×C₈	—	2	2	no	—
187	C₅×C₈	—	4	2	no	—
188	C₅×C₈	C₄×D₄	1	1	yes	characteristic
189	C₅×C₈	C₄×D₄	1	1	yes	characteristic
190	C₅×C₈	C₂³×C₄	1	1	yes	characteristic
191	C₅×C₈	C₂×#41	1	1	yes	characteristic
192	C₂×#41	—	2	1	no	—
193	C₂²×Q₈	—	2	1	no	—
194	#135	—	2	1	no	—
195	#135	—	2	1	no	—
196	#135	C₂×C₄×C₅	1	2	yes	—
197	#135	C₂³×C₅	1	2	yes	—
198	C₂×Q₁₆	—	2	1	no	—
199	C₂×Q₁₆	—	2	1	no	—
200	C₂×Q₁₆	—	2	1	no	—
201	C₂×Q₁₆	C₂×C₄×C₅	1	2	yes	—
202	C₂×Q₁₆	C₂×C₄×C₅	1	2	yes	—
203	C₂×Q₁₆	C₂×C₄×C₅	1	1	yes	characteristic
204	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
205	C₂×SD₁₆	—	2	1	no	—
206	C₂×D₈	C₂×C₄×C₅	1	1	yes	characteristic
207	#131	—	2	4	no	—
208	#131	—	4	2	no	—
209	C₂×M₁₆	—	2	1	no	—
210	C₂×M₁₆	—	4	1	no	—
211	C₂²×C₈	—	4	1	no	—
212	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
213	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
214	C₄×Q₈	—	2	4	no	—
215	C₄×Q₈	—	4	2	no	—
216	C₂×C₄⋊C₄	—	2	1	no	—
217	C₂×C₄⋊C₄	—	4	1	no	—
218	C₂×C₄²	—	4	1	no	—
219	C₂×C₄²	C₅×D₄	1	1	yes	characteristic
220	Q₃₂	C₂×C₄×C₅	1	8	yes	complemented
221	SD₃₂	C₂×C₄×C₅	1	8	yes	complemented
222	M₃₂	—	2	1	no	—
223	M₃₂	C₂×C₄×C₅	1	2	yes	—
224	M₃₂	C₂³×C₅	1	2	yes	—
225	M₃₂	C₂³×C₅	1	2	yes	—
226	C₂×C₁₆	—	2	1	no	—
227	C₂×C₁₆	C₂×C₄×C₅	1	2	yes	—
228	#108	—	2	1	no	—
229	#108	C₂³×C₅	1	2	yes	—
230	#106	—	2	1	no	—
231	#106	C₂³×C₅	1	2	yes	—
232	#104	—	2	4	no	—
233	#103	—	2	4	no	—
234	#97	C₅×D₄	1	2	yes	—
235	#97	C₂³×C₅	1	2	yes	—
236	C₂²×C₅	—	2	2	no	—
237	C₂²×C₅	—	4	2	no	—
238	C₂²×C₅	—	8	2	no	—
239	C₂²×C₅	#442	1	1	yes	characteristic
240	C₂²×C₅	#442	1	1	yes	characteristic
241	C₂²×C₅	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
242	C₄×C₅	—	4	2	no	—
243	C₄×C₅	—	4	2	no	—
244	C₄×C₅	—	4	4	no	—
245	C₄×C₅	—	8	2	no	—
246	C₄×C₅	#442	1	1	yes	characteristic
247	C₄×C₅	#442	1	1	yes	characteristic
248	C₄×C₅	C₂×C₄×D₄	1	1	yes	characteristic
249	C₄×C₅	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
250	#41	—	2	2	no	—
251	#41	—	2	2	no	—
252	#41	—	4	1	no	—
253	#41	—	4	1	no	—
254	C₂×Q₈	—	2	1	no	—
255	C₂×Q₈	—	2	2	no	—
256	C₂×Q₈	—	2	2	no	—
257	C₂×Q₈	—	2	2	no	—
258	C₂×Q₈	—	4	1	no	—
259	C₂×Q₈	—	4	1	no	—
260	C₂×Q₈	—	4	1	no	—
261	C₂×D₄	—	2	1	no	—
262	C₂×D₄	—	4	1	no	—
263	C₂²×C₄	—	2	1	no	—
264	C₂²×C₄	—	4	1	no	—
265	C₂²×C₄	—	4	1	no	—
266	C₂²×C₄	—	4	1	no	—
267	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
268	Q₁₆	—	2	2	no	—
269	Q₁₆	—	2	2	no	—
270	Q₁₆	—	2	1	no	—
271	Q₁₆	—	2	2	no	—
272	Q₁₆	C₂²×C₄×C₅	1	4	yes	—
273	Q₁₆	C₂²×C₄×C₅	1	2	yes	—
274	SD₁₆	—	2	2	no	—
275	SD₁₆	—	2	2	no	—
276	D₈	—	2	1	no	—
277	D₈	C₂²×C₄×C₅	1	2	yes	—
278	M₁₆	—	2	2	no	—
279	M₁₆	—	4	4	no	—
280	M₁₆	—	4	1	no	—
281	C₂×C₈	—	2	1	no	—
282	C₂×C₈	—	2	1	no	—
283	C₂×C₈	—	4	4	no	—
284	C₂×C₈	—	4	1	no	—
285	C₂×C₈	C₂²×C₄×C₅	1	1	yes	characteristic
286	C₂×C₈	C₂²×C₄×C₅	1	1	yes	characteristic
287	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
288	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
289	C₂×C₈	C₅×#41	1	1	yes	characteristic
290	C₂×C₈	C₅×#41	1	1	yes	characteristic
291	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	4	4	no	—
294	C₄⋊C₄	—	4	1	no	—
295	C₄²	—	2	1	no	—
296	C₄²	—	4	4	no	—
297	C₄²	C₂×C₅×D₄	1	2	yes	—
298	C₁₆	—	2	2	no	—
299	C₁₆	C₂²×C₄×C₅	1	4	yes	—
300	C₂×C₅	—	2	1	no	—
301	C₂×C₅	—	2	1	no	—
302	C₂×C₅	—	8	2	no	—
303	C₂×C₅	#2180	1	2	yes	direct product factor
304	C₂×C₅	C₂×#442	1	1	yes	characteristic
305	C₂³	—	4	1	no	—
306	C₂³	C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
307	Q₈	—	2	2	no	—
308	Q₈	—	2	4	no	—
309	Q₈	—	4	2	no	—
310	Q₈	—	4	2	no	—
311	Q₈	—	4	1	no	—
312	Q₈	—	4	2	no	—
313	D₄	—	2	2	no	—
314	D₄	—	4	2	no	—
315	D₄	—	4	2	no	—
316	D₄	—	4	1	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	1	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	8	2	no	—
327	C₂×C₄	C₄×C₅×D₄	1	1	yes	characteristic
328	C₂×C₄	C₄×C₅×D₄	1	1	yes	characteristic
329	C₂×C₄	C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
330	C₂×C₄	C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
331	C₂×C₄	C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
332	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
333	C₈	—	2	2	no	—
334	C₈	—	4	2	no	—
335	C₈	C₄×C₅×D₄	1	1	yes	characteristic
336	C₈	C₄×C₅×D₄	1	1	yes	characteristic
337	C₈	C₂³×C₄×C₅	1	1	yes	characteristic
338	C₈	C₂×C₅×#41	1	1	yes	characteristic
339	C₅	C₂×#2180	1	1	yes	characteristic, direct product factor, Sylow
340	C₂²	—	2	2	no	—
341	C₂²	—	4	2	no	—
342	C₂²	—	8	2	no	—
343	C₂²	C₅×#442	1	1	yes	characteristic
344	C₂²	C₅×#442	1	1	yes	characteristic
345	C₂²	C₂×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
346	C₄	—	4	2	no	—
347	C₄	—	4	2	no	—
348	C₄	—	4	4	no	—
349	C₄	—	8	2	no	—
350	C₄	C₅×#442	1	1	yes	characteristic
351	C₄	C₅×#442	1	1	yes	characteristic
352	C₄	C₂×C₄×C₅×D₄	1	1	yes	characteristic
353	C₄	C₂×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
354	C₂	—	2	1	no	—
355	C₂	—	2	1	no	—
356	C₂	—	8	2	no	—
357	C₂	C₅×#2180	1	2	yes	direct product factor
358	C₂	C₂×C₅×#442	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	#442
commutator	C₈	C₂³×C₄×C₅
Frattini, cosocle	C₂×C₈	C₂⁴×C₅
prime radical	C₂×C₅×#135	C₂²
LCS	G ▷ C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅ ◁ C₂²×C₄×C₅ ◁ C₂×C₅×#97 ◁ G

Complements

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

N	H ≅ G/N	type
3. C₂×C₅×#441	C₂	semidirect
4. C₅×#2180	C₂	direct (N × H)
5. C₂×C₅×#365	C₂	semidirect
6. C₂×C₅×#362	C₂	semidirect
8. C₂×C₅×#347	C₂	semidirect
13. C₅×#510	C₄	semidirect
15. C₂×C₅×Q₃₂	C₄	semidirect
16. C₂×C₅×SD₃₂	C₄	semidirect
22. C₅×#441	C₂²	semidirect
28. C₅×#365	C₂²	semidirect
29. C₅×#362	C₂²	semidirect
31. C₅×#347	C₂²	semidirect
32. C₂×#2180	C₅	direct (N × H)
61. C₅×Q₃₂	C₂×C₄	semidirect
62. C₅×SD₃₂	C₂×C₄	semidirect
79. C₂×#441	C₂×C₅	semidirect
80. #2180	C₂×C₅	direct (N × H)
81. C₂×#365	C₂×C₅	semidirect
82. C₂×#362	C₂×C₅	semidirect
84. C₂×#347	C₂×C₅	semidirect
139. #510	C₄×C₅	semidirect
141. C₂×Q₃₂	C₄×C₅	semidirect
142. C₂×SD₃₂	C₄×C₅	semidirect
148. #441	C₂²×C₅	semidirect
154. #365	C₂²×C₅	semidirect
155. #362	C₂²×C₅	semidirect
157. #347	C₂²×C₅	semidirect
220. Q₃₂	C₂×C₄×C₅	semidirect
221. SD₃₂	C₂×C₄×C₅	semidirect
303. C₂×C₅	#2180	direct (N × H)
339. C₅	C₂×#2180	direct (N × H)
357. C₂	C₅×#2180	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×#510	2
C₂×C₅×#444	2
C₂×C₅×#441	2
C₅×#2180	2
C₂×C₅×#365	2
C₂×C₅×#362	2
C₂×C₅×#360	2
C₂×C₅×#347	2
C₂×#2180	5

Subgroups — C2×C5×#2180 #11956186

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#2180 #11956186