Subgroups — D₅×#5092 #14438808

Order 1920.

1104 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₅×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic
2	C₂×D₅×#216	C₂	1	4	yes	maximal
3	D₅×#869	C₂	1	1	yes	maximal, characteristic
4	#11751193	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#5092	C₂	1	1	yes	maximal, characteristic, complemented
6	#11749347	C₂	1	4	yes	maximal, complemented
7	#11747103	C₂	1	1	yes	maximal, characteristic, complemented
8	#11747100	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×D₅×C₃⋊C₈	C₂	1	1	yes	maximal, characteristic
10	D₅×#494	—	3	1	no	maximal, Hall
11	C₂×C₃×Q₈×D₅	C₂²	1	2	yes	—
12	C₂×D₅×Dic₆	C₂²	1	2	yes	—
13	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
14	C₂×#6718	C₂²	1	4	yes	—
15	#91758	C₂²	1	1	yes	characteristic
16	C₂×C₅×#216	C₂²	1	4	yes	—
17	C₅×#869	C₂²	1	1	yes	characteristic
18	C₃×#4090	C₂²	1	2	yes	—
19	C₃×D₅×C₄⋊C₄	—	2	2	no	—
20	C₃×#4034	—	2	2	no	—
21	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
22	C₃×#4015	C₂²	1	1	yes	characteristic
23	D₅×#216	—	2	16	no	—
24	#91468	—	2	2	no	—
25	D₅×C₄⋊Dic₃	—	2	2	no	—
26	#91376	C₂²	1	2	yes	—
27	C₂×#6662	C₂²	1	4	yes	—
28	C₂×#6661	C₂²	1	4	yes	—
29	C₂×D₅×C₃⋊C₈	C₂²	1	2	yes	—
30	C₄×C₃⋊#168	C₂²	1	1	yes	characteristic
31	C₄×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
32	Dic₅×C₃⋊C₈	C₂²	1	2	yes	—
33	C₂×#5092	—	5	1	no	maximal, Hall
34	C₂×D₅×Q₁₆	—	3	4	no	—
35	D₅×C₄⋊Q₈	—	3	1	no	—
36	D₅×C₄⋊Q₈	D₃	1	1	yes	characteristic
37	C₅×#494	—	3	1	no	—
38	#65470	—	3	4	no	—
39	#65381	—	3	1	no	—
40	#65381	—	3	1	no	—
41	#64988	—	3	1	no	—
42	C₄×C₈×D₅	—	3	1	no	—
43	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
44	C₂×Dic₃₀	C₂³	1	2	yes	—
45	C₂×C₅×Dic₆	C₂³	1	2	yes	—
46	C₃×Q₈×D₅	—	2	8	no	—
47	C₂×C₃×C₄×D₅	—	2	2	no	—
48	C₂×C₃×C₄×D₅	D₄	1	2	yes	—
49	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
50	C₂×C₃×Dic₁₀	—	2	2	no	—
51	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
52	C₂×#1204	—	2	2	no	—
53	C₂×D₅×Dic₃	—	2	2	no	—
54	D₅×Dic₆	—	2	8	no	—
55	C₃×C₅×C₄⋊C₄	—	2	2	no	—
56	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
57	#6718	—	2	8	no	—
58	C₄⋊Dic₁₅	—	2	2	no	—
59	C₂×C₃⋊#168	C₂³	1	2	yes	—
60	C₅×#216	—	2	8	no	—
61	C₅×C₄⋊Dic₃	—	2	2	no	—
62	C₂×C₅×C₃⋊C₈	C₂³	1	2	yes	—
63	C₃×C₄⋊Dic₅	—	2	2	no	—
64	C₃×#683	—	2	4	no	—
65	C₃×C₄×Dic₅	D₄	1	2	yes	—
66	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
67	#6668	—	2	4	no	—
68	#6662	—	2	8	no	—
69	#6661	—	2	8	no	—
70	D₅×C₃⋊C₈	D₄	1	8	yes	—
71	C₂×C₃×C₄⋊Q₈	—	5	1	no	—
72	C₂²×#216	—	5	4	no	—
73	C₂×#869	—	5	1	no	—
74	#5092	—	5	1	no	—
75	#5092	—	5	4	no	—
76	#5092	—	5	1	no	—
77	#5092	—	5	1	no	—
78	#5092	D₅	1	1	yes	characteristic, direct product factor
79	C₂×C₄×C₃⋊C₈	—	5	1	no	—
80	C₂×Q₈×D₅	—	3	2	no	—
81	C₂×Q₈×D₅	C₂×D₃	1	2	yes	—
82	C₂×C₅×Q₁₆	—	3	4	no	—
83	C₅×C₄⋊Q₈	—	3	1	no	—
84	C₅×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
85	#4090	—	3	2	no	—
86	#4090	C₂×D₃	1	2	yes	—
87	C₂×#689	—	3	4	no	—
88	C₂×#689	—	3	4	no	—
89	D₅×Q₁₆	—	6	16	no	—
90	C₂×Dic₂₀	—	3	4	no	—
91	C₂×C₈×D₅	—	3	2	no	—
92	D₅×C₄⋊C₄	—	2	2	no	—
93	D₅×C₄⋊C₄	—	6	2	no	—
94	#4034	—	2	2	no	—
95	#4034	—	6	2	no	—
96	C₄²×D₅	C₂×D₃	1	1	yes	characteristic
97	#4015	—	3	1	no	—
98	#4015	C₂×D₃	1	1	yes	characteristic
99	C₄×C₅×C₈	—	3	1	no	—
100	C₈×Dic₅	—	3	2	no	—
101	C₄×#168	—	3	1	no	—
102	C₂×#494	—	15	1	no	Sylow
103	C₂²×C₃×D₅	C₂×D₄	1	1	yes	characteristic
104	C₃×C₅×Q₈	—	2	4	no	—
105	C₂×C₃×C₄×C₅	—	2	2	no	—
106	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
107	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
108	C₂×Dic₁₅	—	2	2	no	—
109	Dic₃₀	—	2	4	no	—
110	C₂×C₅×Dic₃	—	2	2	no	—
111	C₅×Dic₆	—	2	4	no	—
112	C₂×C₃×Dic₅	—	2	2	no	—
113	C₂×C₃×Dic₅	C₂×D₄	1	1	yes	characteristic
114	C₂×C₃×Dic₅	C₂×D₄	1	2	yes	—
115	C₃×C₄×D₅	—	4	4	no	—
116	C₃×C₄×D₅	Q₁₆	1	8	yes	complemented
117	C₃×C₄×D₅	C₂×D₄	1	4	yes	—
118	C₃×Dic₁₀	—	2	4	no	—
119	C₃×Dic₁₀	—	4	4	no	—
120	#1204	—	4	4	no	—
121	D₅×Dic₃	—	4	4	no	—
122	C₃⋊#168	C₂×D₄	1	4	yes	—
123	C₅×C₃⋊C₈	C₂×D₄	1	4	yes	—
124	C₂²×C₃×Q₈	—	5	2	no	—
125	C₂²×Dic₆	—	5	2	no	—
126	C₃×C₄⋊Q₈	—	5	2	no	—
127	C₃×C₄⋊Q₈	—	5	1	no	—
128	C₃×C₄⋊Q₈	—	10	2	no	—
129	C₃×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic
130	C₂×C₃×C₄⋊C₄	—	10	2	no	—
131	C₂×C₃×C₄²	—	5	1	no	—
132	C₂×#216	—	5	4	no	—
133	C₂×#216	—	5	4	no	—
134	C₂×#216	—	5	4	no	—
135	C₂×#216	—	10	16	no	—
136	C₂×#216	C₂×D₅	1	4	yes	—
137	C₂×C₄⋊Dic₃	—	10	2	no	—
138	C₂²×C₃⋊C₈	—	5	2	no	—
139	#869	—	5	2	no	—
140	#869	—	5	1	no	—
141	#869	—	10	2	no	—
142	#869	C₂×D₅	1	1	yes	characteristic
143	C₄×C₃⋊C₈	—	5	1	no	—
144	C₄×C₃⋊C₈	—	5	2	no	—
145	C₄×C₃⋊C₈	C₂×D₅	1	1	yes	characteristic
146	C₂×C₅×Q₈	—	3	2	no	—
147	C₂×C₅×Q₈	C₂²×D₃	1	2	yes	—
148	Q₈×D₅	—	2	8	no	—
149	Q₈×D₅	—	6	8	no	—
150	C₂×C₄×D₅	—	2	2	no	—
151	C₂×C₄×D₅	—	6	2	no	—
152	C₂×C₄×D₅	#67	1	2	yes	—
153	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
154	C₂×Dic₁₀	—	2	2	no	—
155	C₂×Dic₁₀	—	3	2	no	—
156	C₂×Dic₁₀	—	6	2	no	—
157	C₂×Dic₁₀	C₂²×D₃	1	2	yes	—
158	C₅×Q₁₆	—	6	8	no	—
159	C₂×C₅×C₈	—	3	2	no	—
160	C₅×C₄⋊C₄	—	2	2	no	—
161	C₅×C₄⋊C₄	—	6	2	no	—
162	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
163	#689	—	6	8	no	—
164	#689	—	6	8	no	—
165	C₄⋊Dic₅	—	2	2	no	—
166	C₄⋊Dic₅	—	6	2	no	—
167	#683	—	2	4	no	—
168	#683	—	6	4	no	—
169	C₄×Dic₅	#67	1	2	yes	—
170	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
171	C₂×#168	—	3	2	no	—
172	Dic₂₀	—	6	8	no	—
173	C₈×D₅	—	3	8	no	—
174	C₂²×Q₁₆	—	15	4	no	—
175	C₂×C₄⋊Q₈	—	5	1	no	—
176	C₂×C₄⋊Q₈	—	15	1	no	—
177	#494	—	3	1	no	—
178	#494	—	15	1	no	—
179	#494	—	15	1	no	—
180	#494	—	15	4	no	—
181	#494	—	15	1	no	—
182	C₂×C₄×C₈	—	15	1	no	—
183	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
184	C₂×C₃×D₅	#127	1	2	yes	—
185	C₂×C₃×D₅	C₂×Q₁₆	1	4	yes	—
186	C₃×C₄×C₅	—	4	2	no	—
187	C₃×C₄×C₅	C₂×Q₁₆	1	4	yes	complemented
188	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
189	Dic₁₅	—	4	2	no	—
190	C₃×Dic₅	—	4	2	no	—
191	C₃×Dic₅	#127	1	2	yes	—
192	C₃×Dic₅	C₂×Q₁₆	1	4	yes	complemented
193	C₅×Dic₃	—	4	2	no	—
194	C₂×C₃×Q₈	—	5	2	no	—
195	C₂×C₃×Q₈	—	10	2	no	—
196	C₂×C₃×Q₈	—	10	8	no	—
197	C₂×C₃×Q₈	C₂²×D₅	1	2	yes	—
198	C₂²×C₃×C₄	—	5	2	no	—
199	C₂²×C₃×C₄	—	5	1	no	—
200	C₂²×C₃×C₄	—	10	2	no	—
201	C₂²×Dic₃	—	10	2	no	—
202	C₂×Dic₆	—	5	2	no	—
203	C₂×Dic₆	—	10	8	no	—
204	C₂×Dic₆	—	10	2	no	—
205	C₂×Dic₆	C₂²×D₅	1	2	yes	—
206	C₃×C₄⋊C₄	—	2	2	no	—
207	C₃×C₄⋊C₄	—	10	4	no	—
208	C₃×C₄⋊C₄	—	10	2	no	—
209	C₃×C₄²	—	5	2	no	—
210	C₃×C₄²	—	5	1	no	—
211	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
212	#216	—	2	8	no	—
213	#216	—	10	8	no	—
214	#216	—	10	8	no	—
215	#216	—	10	8	no	—
216	C₄⋊Dic₃	—	2	2	no	—
217	C₄⋊Dic₃	—	10	4	no	—
218	C₄⋊Dic₃	—	10	2	no	—
219	C₂×C₃⋊C₈	—	5	2	no	—
220	C₂×C₃⋊C₈	—	5	8	no	—
221	C₂×C₃⋊C₈	C₂²×D₅	1	2	yes	—
222	C₂²×D₅	C₂×#67	1	1	yes	characteristic
223	C₅×Q₈	—	2	4	no	—
224	C₅×Q₈	—	6	4	no	—
225	C₂×C₄×C₅	—	2	2	no	—
226	C₂×C₄×C₅	—	6	2	no	—
227	C₂×C₄×C₅	C₂×#67	1	2	yes	—
228	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
229	C₂×Dic₅	—	2	2	no	—
230	C₂×Dic₅	—	6	2	no	—
231	C₂×Dic₅	C₂×#67	1	1	yes	characteristic
232	C₂×Dic₅	C₂×#67	1	2	yes	—
233	C₄×D₅	—	4	4	no	—
234	C₄×D₅	—	12	4	no	—
235	C₄×D₅	#216	1	8	yes	complemented
236	C₄×D₅	D₃×D₄	1	4	yes	—
237	Dic₁₀	—	2	4	no	—
238	Dic₁₀	—	4	4	no	—
239	Dic₁₀	—	6	4	no	—
240	Dic₁₀	—	12	4	no	—
241	C₅×C₈	—	3	4	no	—
242	#168	—	3	4	no	—
243	C₂²×Q₈	—	5	2	no	—
244	C₂²×Q₈	—	15	2	no	—
245	C₂×Q₁₆	—	3	4	no	—
246	C₂×Q₁₆	—	15	4	no	—
247	C₂×Q₁₆	—	15	4	no	—
248	C₂×Q₁₆	—	15	4	no	—
249	C₂×Q₁₆	—	30	16	no	—
250	C₂²×C₈	—	15	2	no	—
251	C₄⋊Q₈	—	3	1	no	—
252	C₄⋊Q₈	—	5	2	no	—
253	C₄⋊Q₈	—	5	1	no	—
254	C₄⋊Q₈	—	10	2	no	—
255	C₄⋊Q₈	—	15	2	no	—
256	C₄⋊Q₈	—	15	1	no	—
257	C₄⋊Q₈	—	30	2	no	—
258	C₄⋊Q₈	D₃×D₅	1	1	yes	characteristic
259	C₂×C₄⋊C₄	—	10	2	no	—
260	C₂×C₄⋊C₄	—	30	2	no	—
261	C₂×C₄²	—	5	1	no	—
262	C₄×C₈	—	3	1	no	—
263	C₄×C₈	—	15	2	no	—
264	C₄×C₈	—	15	1	no	—
265	C₂×C₃×C₅	C₂×#127	1	1	yes	characteristic
266	C₂×C₃×C₅	C₂²×Q₁₆	1	2	yes	—
267	C₃×D₅	#494	1	4	yes	complemented
268	C₂³×C₃	—	5	1	no	—
269	C₃×Q₈	—	2	4	no	—
270	C₃×Q₈	—	10	4	no	—
271	C₃×Q₈	—	20	4	no	—
272	C₂×C₃×C₄	—	2	2	no	—
273	C₂×C₃×C₄	—	5	2	no	—
274	C₂×C₃×C₄	—	5	1	no	—
275	C₂×C₃×C₄	—	5	4	no	—
276	C₂×C₃×C₄	—	5	8	no	—
277	C₂×C₃×C₄	—	10	2	no	—
278	C₂×C₃×C₄	—	20	4	no	—
279	C₂×C₃×C₄	D₄×D₅	1	2	yes	—
280	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
281	C₂×Dic₃	—	2	2	no	—
282	C₂×Dic₃	—	10	2	no	—
283	C₂×Dic₃	—	20	4	no	—
284	Dic₆	—	2	4	no	—
285	Dic₆	—	10	4	no	—
286	Dic₆	—	20	4	no	—
287	C₃⋊C₈	—	5	4	no	—
288	C₃⋊C₈	D₄×D₅	1	4	yes	—
289	C₂²×C₅	C₂²×#67	1	1	yes	characteristic
290	C₂×D₅	#940	1	2	yes	—
291	C₂×D₅	C₂×#216	1	4	yes	—
292	C₄×C₅	—	4	2	no	—
293	C₄×C₅	—	12	2	no	—
294	C₄×C₅	C₂×#216	1	4	yes	complemented
295	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
296	Dic₅	—	4	2	no	—
297	Dic₅	—	12	2	no	—
298	Dic₅	#940	1	2	yes	—
299	Dic₅	C₂×#216	1	4	yes	complemented
300	C₂×Q₈	—	3	2	no	—
301	C₂×Q₈	—	5	2	no	—
302	C₂×Q₈	—	10	2	no	—
303	C₂×Q₈	—	10	8	no	—
304	C₂×Q₈	—	15	2	no	—
305	C₂×Q₈	—	30	2	no	—
306	C₂×Q₈	—	30	8	no	—
307	C₂×Q₈	C₂×D₃×D₅	1	2	yes	—
308	C₂²×C₄	—	5	2	no	—
309	C₂²×C₄	—	5	1	no	—
310	C₂²×C₄	—	10	2	no	—
311	C₂²×C₄	—	30	2	no	—
312	Q₁₆	—	6	8	no	—
313	Q₁₆	—	30	8	no	—
314	Q₁₆	—	30	8	no	—
315	Q₁₆	—	30	8	no	—
316	C₂×C₈	—	3	2	no	—
317	C₂×C₈	—	15	8	no	—
318	C₂×C₈	—	15	2	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	6	2	no	—
321	C₄⋊C₄	—	10	4	no	—
322	C₄⋊C₄	—	10	2	no	—
323	C₄⋊C₄	—	30	4	no	—
324	C₄⋊C₄	—	30	2	no	—
325	C₄²	—	5	2	no	—
326	C₄²	—	5	1	no	—
327	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
328	C₃×C₅	C₂×#494	1	1	yes	characteristic, complemented, Hall
329	C₂²×C₃	—	5	2	no	—
330	C₂²×C₃	—	5	4	no	—
331	C₂²×C₃	C₂×D₄×D₅	1	1	yes	characteristic
332	C₃×C₄	—	4	2	no	—
333	C₃×C₄	—	5	2	no	—
334	C₃×C₄	—	5	4	no	—
335	C₃×C₄	—	20	2	no	—
336	C₃×C₄	D₅×Q₁₆	1	4	yes	complemented
337	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
338	Dic₃	—	4	2	no	—
339	Dic₃	—	20	2	no	—
340	C₂×C₅	C₂×#940	1	1	yes	characteristic
341	C₂×C₅	C₂²×#216	1	2	yes	—
342	D₅	#5092	1	4	yes	direct product factor
343	C₂³	—	5	1	no	—
344	Q₈	—	2	4	no	—
345	Q₈	—	6	4	no	—
346	Q₈	—	10	4	no	—
347	Q₈	—	20	4	no	—
348	Q₈	—	30	4	no	—
349	Q₈	—	60	4	no	—
350	C₂×C₄	—	2	2	no	—
351	C₂×C₄	—	5	2	no	—
352	C₂×C₄	—	5	1	no	—
353	C₂×C₄	—	5	8	no	—
354	C₂×C₄	—	5	4	no	—
355	C₂×C₄	—	6	2	no	—
356	C₂×C₄	—	10	2	no	—
357	C₂×C₄	—	20	4	no	—
358	C₂×C₄	—	30	2	no	—
359	C₂×C₄	—	60	4	no	—
360	C₂×C₄	D₅×#67	1	2	yes	—
361	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
362	C₈	—	3	4	no	—
363	C₈	—	15	4	no	—
364	C₂×C₃	—	5	4	no	—
365	C₂×C₃	D₅×#127	1	1	yes	characteristic
366	C₂×C₃	C₂×D₅×Q₁₆	1	2	yes	—
367	C₅	C₂×#5092	1	1	yes	characteristic, complemented, Sylow
368	C₂²	—	5	2	no	—
369	C₂²	—	5	4	no	—
370	C₂²	C₂×D₅×#67	1	1	yes	characteristic
371	C₄	—	4	2	no	—
372	C₄	—	5	2	no	—
373	C₄	—	5	4	no	—
374	C₄	—	12	2	no	—
375	C₄	—	20	2	no	—
376	C₄	—	60	2	no	—
377	C₄	D₅×#216	1	4	yes	complemented
378	C₄	D₃×D₄×D₅	1	2	yes	—
379	C₃	D₅×#494	1	1	yes	characteristic, complemented, Sylow
380	C₂	—	5	4	no	—
381	C₂	D₅×#940	1	1	yes	characteristic
382	C₂	C₂×D₅×#216	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂×D₅×#67
commutator, cosocle	C₂×C₃×C₄×C₅	C₂⁴
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₃×C₅×C₄⋊Q₈	C₂²
socle	C₂²×C₃×C₅	C₂²×D₄
prime radical	C₂²×C₃×D₅	C₂×D₄
hypercenter	C₄⋊Q₈	D₃×D₅
hypocenter	C₃×C₅	C₂×#494
LCS	G ▷ C₂×C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ C₄² ◁ C₄⋊Q₈

Complements

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

N	H ≅ G/N	type
4. #11751193	C₂	semidirect
5. C₅×#5092	C₂	semidirect
6. #11749347	C₂	semidirect
7. #11747103	C₂	semidirect
8. #11747100	C₂	semidirect
78. #5092	D₅	direct (N × H)
116. C₃×C₄×D₅	Q₁₆	semidirect
187. C₃×C₄×C₅	C₂×Q₁₆	semidirect
192. C₃×Dic₅	C₂×Q₁₆	semidirect
235. C₄×D₅	#216	semidirect
267. C₃×D₅	#494	semidirect
294. C₄×C₅	C₂×#216	semidirect
299. Dic₅	C₂×#216	semidirect
328. C₃×C₅	C₂×#494	semidirect
336. C₃×C₄	D₅×Q₁₆	semidirect
342. D₅	#5092	direct (N × H)
367. C₅	C₂×#5092	semidirect
377. C₄	D₅×#216	semidirect
379. C₃	D₅×#494	semidirect

Maximal subgroups

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

subgroup	index
C₃×D₅×C₄⋊Q₈	2
C₂×D₅×#216	2
D₅×#869	2
#11751193	2
C₅×#5092	2
#11749347	2
#11747103	2
#11747100	2
C₄×D₅×C₃⋊C₈	2
D₅×#494	3
C₂×#5092	5

Subgroups — D5×#5092 #14438808

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#5092 #14438808