Subgroups — C₂×C₅×#4488 #14314083

Order 1920.

464 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#904	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₅×#106	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×#812	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#4488	C₂	1	4	yes	maximal, direct product factor
5	C₂×C₅×#360	—	3	1	no	maximal, Hall
6	C₂×C₅×#235	—	2	1	no	—
7	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
8	C₂×C₃×C₅×C₄⋊C₄	—	2	1	no	—
9	C₂×C₅×Dic₁₂	C₄	1	1	yes	characteristic, complemented
10	C₅×#904	—	2	1	no	—
11	C₅×#904	—	2	1	no	—
12	C₅×#904	C₄	1	2	yes	complemented
13	C₅×#904	C₂²	1	2	yes	—
14	C₂×C₅×D₂₄	C₄	1	1	yes	characteristic, complemented
15	C₂×C₅×#204	—	2	1	no	—
16	C₃×C₅×#106	—	2	1	no	—
17	C₃×C₅×#106	C₂²	1	2	yes	complemented
18	C₅×#812	—	2	1	no	—
19	C₅×#812	C₂²	1	2	yes	complemented
20	C₂×C₅×C₃⋊C₁₆	—	2	1	no	—
21	C₂×#4488	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
22	C₂×C₅×#135	—	3	1	no	—
23	C₂×C₅×M₃₂	—	3	1	no	—
24	C₂×C₅×#106	D₃	1	1	yes	characteristic, complemented
25	C₅×#360	—	3	4	no	—
26	C₂²×C₃×C₄×C₅	—	4	1	no	—
27	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
28	C₂×C₅×#67	—	4	1	no	—
29	C₅×#235	—	2	2	no	—
30	C₅×#235	—	2	2	no	—
31	C₅×#235	—	4	1	no	—
32	C₅×#235	—	4	1	no	—
33	C₂×C₅×D₁₂	—	2	1	no	—
34	C₂×C₄×C₅×D₃	—	4	1	no	—
35	C₂×C₅×Dic₆	—	2	1	no	—
36	C₂×C₃×C₅×C₈	C₂×C₄	1	1	yes	characteristic
37	C₂×C₃×C₅×C₈	C₂×C₄	1	1	yes	characteristic
38	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
39	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
40	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
41	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
42	C₃×C₅×C₄⋊C₄	—	2	2	no	—
43	C₃×C₅×C₄⋊C₄	—	4	1	no	—
44	C₅×Dic₁₂	—	2	1	no	—
45	C₅×Dic₁₂	C₂×C₄	1	2	yes	complemented
46	C₅×D₂₄	—	2	1	no	—
47	C₅×D₂₄	C₂×C₄	1	2	yes	complemented
48	C₅×#204	—	2	2	no	—
49	C₅×#204	—	2	2	no	—
50	C₅×C₃⋊C₁₆	—	2	2	no	—
51	C₂×#904	C₂×C₅	1	1	yes	characteristic
52	C₂×C₃×#106	C₂×C₅	1	1	yes	characteristic, complemented
53	C₂×#812	C₂×C₅	1	1	yes	characteristic, complemented
54	#4488	C₂×C₅	1	4	yes	direct product factor
55	C₂×C₅×#41	—	6	1	no	—
56	C₅×#135	—	3	2	no	—
57	C₅×#135	—	3	2	no	—
58	C₅×#135	—	6	1	no	—
59	C₅×#135	—	6	1	no	—
60	C₂×C₅×Q₁₆	—	3	1	no	—
61	C₂×C₅×SD₁₆	—	6	1	no	—
62	C₂×C₅×D₈	—	3	1	no	—
63	C₂²×C₅×C₈	C₂×D₃	1	1	yes	characteristic
64	C₂×C₅×C₄⋊C₄	—	2	1	no	—
65	C₅×M₃₂	—	3	2	no	—
66	C₅×M₃₂	—	6	1	no	—
67	C₂×C₅×C₁₆	—	6	1	no	—
68	C₅×#106	—	2	1	no	—
69	C₅×#106	C₂×D₃	1	2	yes	complemented
70	C₂×#360	—	3	1	no	Sylow
71	C₂³×C₃×C₅	D₈	1	1	yes	characteristic
72	C₂²×C₅×D₃	—	4	1	no	—
73	C₂×C₃×C₄×C₅	—	4	2	no	—
74	C₂×C₃×C₄×C₅	—	8	2	no	—
75	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
76	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
77	C₂×C₃×C₄×C₅	D₈	1	1	yes	characteristic
78	C₂×C₃×C₄×C₅	SD₁₆	1	1	yes	characteristic
79	C₂×C₃×C₄×C₅	SD₁₆	1	1	yes	characteristic
80	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
81	C₅×#67	—	4	2	no	—
82	C₅×#67	—	4	2	no	—
83	C₂×C₅×Dic₃	—	4	1	no	—
84	C₅×D₁₂	—	2	2	no	—
85	C₅×D₁₂	—	4	1	no	—
86	C₄×C₅×D₃	—	4	2	no	—
87	C₄×C₅×D₃	—	4	2	no	—
88	C₅×Dic₆	—	2	2	no	—
89	C₅×Dic₆	—	4	1	no	—
90	C₃×C₅×C₈	C₂²⋊C₄	1	1	yes	characteristic
91	C₃×C₅×C₈	C₂²⋊C₄	1	1	yes	characteristic
92	C₃×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
93	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
94	C₂×#235	—	2	1	no	—
95	C₂²×C₃×C₈	C₂²×C₅	1	1	yes	characteristic
96	C₂×C₃×C₄⋊C₄	—	2	1	no	—
97	C₂×Dic₁₂	C₄×C₅	1	1	yes	characteristic, complemented
98	#904	—	2	1	no	—
99	#904	—	2	1	no	—
100	#904	C₄×C₅	1	2	yes	complemented
101	#904	C₂²×C₅	1	2	yes	—
102	C₂×D₂₄	C₄×C₅	1	1	yes	characteristic, complemented
103	C₂×#204	—	2	1	no	—
104	C₃×#106	—	2	1	no	—
105	C₃×#106	C₂²×C₅	1	2	yes	complemented
106	#812	—	2	1	no	—
107	#812	C₂²×C₅	1	2	yes	complemented
108	C₂×C₃⋊C₁₆	—	2	1	no	—
109	C₅×#41	—	6	2	no	—
110	C₅×#41	—	6	2	no	—
111	C₅×#41	—	12	1	no	—
112	C₅×#41	—	12	1	no	—
113	C₂×C₅×Q₈	—	6	1	no	—
114	C₂×C₅×D₄	—	6	1	no	—
115	C₂×C₅×D₄	—	12	1	no	—
116	C₂²×C₄×C₅	—	4	1	no	—
117	C₂²×C₄×C₅	—	12	1	no	—
118	C₂²×C₄×C₅	#67	1	1	yes	characteristic
119	C₅×Q₁₆	—	3	2	no	—
120	C₅×Q₁₆	—	6	1	no	—
121	C₅×SD₁₆	—	6	2	no	—
122	C₅×SD₁₆	—	6	2	no	—
123	C₅×D₈	—	3	2	no	—
124	C₅×D₈	—	6	1	no	—
125	C₂×C₅×C₈	C₄×D₃	1	1	yes	characteristic
126	C₂×C₅×C₈	C₄×D₃	1	1	yes	characteristic
127	C₂×C₅×C₈	D₁₂	1	1	yes	characteristic
128	C₂×C₅×C₈	D₁₂	1	1	yes	characteristic
129	C₂×C₅×C₈	#67	1	1	yes	characteristic
130	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
131	C₅×C₄⋊C₄	—	2	2	no	—
132	C₅×C₄⋊C₄	—	4	1	no	—
133	C₅×C₁₆	—	6	2	no	—
134	C₂×#135	—	3	1	no	—
135	C₂×M₃₂	—	3	1	no	—
136	C₂×#106	C₅×D₃	1	1	yes	characteristic, complemented
137	#360	—	3	4	no	—
138	C₂²×C₃×C₅	—	2	2	no	—
139	C₂²×C₃×C₅	#102	1	1	yes	characteristic
140	C₂²×C₃×C₅	#102	1	1	yes	characteristic
141	C₂²×C₃×C₅	C₂×D₈	1	1	yes	characteristic
142	C₂×C₅×D₃	—	4	2	no	—
143	C₂×C₅×D₃	—	8	2	no	—
144	C₃×C₄×C₅	—	8	2	no	—
145	C₃×C₄×C₅	#102	1	1	yes	characteristic
146	C₃×C₄×C₅	#102	1	1	yes	characteristic
147	C₃×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
148	C₃×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
149	C₅×Dic₃	—	4	2	no	—
150	C₂²×C₃×C₄	—	4	1	no	—
151	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
152	C₂×#67	—	4	1	no	—
153	#235	—	2	2	no	—
154	#235	—	2	2	no	—
155	#235	—	4	1	no	—
156	#235	—	4	1	no	—
157	C₂×D₁₂	—	2	1	no	—
158	C₂×C₄×D₃	—	4	1	no	—
159	C₂×Dic₆	—	2	1	no	—
160	C₂×C₃×C₈	C₂×C₄×C₅	1	1	yes	characteristic
161	C₂×C₃×C₈	C₂×C₄×C₅	1	1	yes	characteristic
162	C₂×C₃×C₈	C₅×D₄	1	1	yes	characteristic
163	C₂×C₃×C₈	C₅×D₄	1	1	yes	characteristic
164	C₂×C₃×C₈	C₅×D₄	1	1	yes	characteristic
165	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
166	C₃×C₄⋊C₄	—	2	2	no	—
167	C₃×C₄⋊C₄	—	4	1	no	—
168	Dic₁₂	—	2	1	no	—
169	Dic₁₂	C₂×C₄×C₅	1	2	yes	complemented
170	D₂₄	—	2	1	no	—
171	D₂₄	C₂×C₄×C₅	1	2	yes	complemented
172	#204	—	2	2	no	—
173	#204	—	2	2	no	—
174	C₃⋊C₁₆	—	2	2	no	—
175	C₂³×C₅	—	12	1	no	—
176	C₂³×C₅	#213	1	1	yes	characteristic
177	C₅×Q₈	—	6	2	no	—
178	C₅×Q₈	—	12	1	no	—
179	C₅×D₄	—	6	2	no	—
180	C₅×D₄	—	12	2	no	—
181	C₅×D₄	—	12	2	no	—
182	C₅×D₄	—	12	1	no	—
183	C₂×C₄×C₅	—	4	2	no	—
184	C₂×C₄×C₅	—	8	2	no	—
185	C₂×C₄×C₅	—	12	1	no	—
186	C₂×C₄×C₅	—	12	2	no	—
187	C₂×C₄×C₅	—	12	2	no	—
188	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
189	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
190	C₂×C₄×C₅	#213	1	1	yes	characteristic
191	C₂×C₄×C₅	#215	1	1	yes	characteristic
192	C₂×C₄×C₅	#215	1	1	yes	characteristic
193	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
194	C₅×C₈	(C₂×D₃)⋊C₄	1	1	yes	characteristic
195	C₅×C₈	(C₂×D₃)⋊C₄	1	1	yes	characteristic
196	C₅×C₈	C₂×C₄×D₃	1	1	yes	characteristic
197	C₅×C₈	C₂×D₁₂	1	1	yes	characteristic
198	C₂×#41	—	6	1	no	—
199	#135	—	3	2	no	—
200	#135	—	3	2	no	—
201	#135	—	6	1	no	—
202	#135	—	6	1	no	—
203	C₂×Q₁₆	—	3	1	no	—
204	C₂×SD₁₆	—	6	1	no	—
205	C₂×D₈	—	3	1	no	—
206	C₂²×C₈	C₂×C₅×D₃	1	1	yes	characteristic
207	C₂×C₄⋊C₄	—	2	1	no	—
208	M₃₂	—	3	2	no	—
209	M₃₂	—	6	1	no	—
210	C₂×C₁₆	—	6	1	no	—
211	#106	—	2	1	no	—
212	#106	C₂×C₅×D₃	1	2	yes	complemented
213	C₂×C₃×C₅	—	2	1	no	—
214	C₂×C₃×C₅	—	2	1	no	—
215	C₂×C₃×C₅	#360	1	2	yes	complemented
216	C₂×C₃×C₅	C₂×#102	1	1	yes	characteristic
217	C₅×D₃	—	8	2	no	—
218	C₂³×C₃	C₅×D₈	1	1	yes	characteristic
219	C₂²×D₃	—	4	1	no	—
220	C₂×C₃×C₄	—	4	2	no	—
221	C₂×C₃×C₄	—	8	2	no	—
222	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
223	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
224	C₂×C₃×C₄	C₅×D₈	1	1	yes	characteristic
225	C₂×C₃×C₄	C₅×SD₁₆	1	1	yes	characteristic
226	C₂×C₃×C₄	C₅×SD₁₆	1	1	yes	characteristic
227	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
228	#67	—	4	2	no	—
229	#67	—	4	2	no	—
230	C₂×Dic₃	—	4	1	no	—
231	D₁₂	—	2	2	no	—
232	D₁₂	—	4	1	no	—
233	C₄×D₃	—	4	2	no	—
234	C₄×D₃	—	4	2	no	—
235	Dic₆	—	2	2	no	—
236	Dic₆	—	4	1	no	—
237	C₃×C₈	C₅×C₂²⋊C₄	1	1	yes	characteristic
238	C₃×C₈	C₅×C₂²⋊C₄	1	1	yes	characteristic
239	C₃×C₈	C₂²×C₄×C₅	1	1	yes	characteristic
240	C₃×C₈	C₂×C₅×D₄	1	1	yes	characteristic
241	C₂²×C₅	—	2	2	no	—
242	C₂²×C₅	—	12	2	no	—
243	C₂²×C₅	—	24	2	no	—
244	C₂²×C₅	#809	1	1	yes	characteristic
245	C₂²×C₅	#809	1	1	yes	characteristic
246	C₂²×C₅	C₂×#213	1	1	yes	characteristic
247	C₄×C₅	—	8	2	no	—
248	C₄×C₅	—	12	2	no	—
249	C₄×C₅	#809	1	1	yes	characteristic
250	C₄×C₅	#809	1	1	yes	characteristic
251	C₄×C₅	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
252	C₄×C₅	C₂×#215	1	1	yes	characteristic
253	#41	—	6	2	no	—
254	#41	—	6	2	no	—
255	#41	—	12	1	no	—
256	#41	—	12	1	no	—
257	C₂×Q₈	—	6	1	no	—
258	C₂×D₄	—	6	1	no	—
259	C₂×D₄	—	12	1	no	—
260	C₂²×C₄	—	4	1	no	—
261	C₂²×C₄	—	12	1	no	—
262	C₂²×C₄	C₅×#67	1	1	yes	characteristic
263	Q₁₆	—	3	2	no	—
264	Q₁₆	—	6	1	no	—
265	SD₁₆	—	6	2	no	—
266	SD₁₆	—	6	2	no	—
267	D₈	—	3	2	no	—
268	D₈	—	6	1	no	—
269	C₂×C₈	C₄×C₅×D₃	1	1	yes	characteristic
270	C₂×C₈	C₄×C₅×D₃	1	1	yes	characteristic
271	C₂×C₈	C₅×D₁₂	1	1	yes	characteristic
272	C₂×C₈	C₅×D₁₂	1	1	yes	characteristic
273	C₂×C₈	C₅×#67	1	1	yes	characteristic
274	C₂×C₈	C₂²×C₅×D₃	1	1	yes	characteristic
275	C₄⋊C₄	—	2	2	no	—
276	C₄⋊C₄	—	4	1	no	—
277	C₁₆	—	6	2	no	—
278	C₃×C₅	C₂×#360	1	1	yes	characteristic, complemented, Hall
279	C₂²×C₃	—	2	2	no	—
280	C₂²×C₃	C₅×#102	1	1	yes	characteristic
281	C₂²×C₃	C₅×#102	1	1	yes	characteristic
282	C₂²×C₃	C₂×C₅×D₈	1	1	yes	characteristic
283	C₂×D₃	—	4	2	no	—
284	C₂×D₃	—	8	2	no	—
285	C₃×C₄	—	8	2	no	—
286	C₃×C₄	C₅×#102	1	1	yes	characteristic
287	C₃×C₄	C₅×#102	1	1	yes	characteristic
288	C₃×C₄	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
289	C₃×C₄	C₂×C₅×SD₁₆	1	1	yes	characteristic
290	Dic₃	—	4	2	no	—
291	C₂×C₅	—	2	1	no	—
292	C₂×C₅	—	2	1	no	—
293	C₂×C₅	—	24	2	no	—
294	C₂×C₅	#4488	1	2	yes	direct product factor
295	C₂×C₅	C₂×#809	1	1	yes	characteristic
296	C₂³	—	12	1	no	—
297	C₂³	C₅×#213	1	1	yes	characteristic
298	Q₈	—	6	2	no	—
299	Q₈	—	12	1	no	—
300	D₄	—	6	2	no	—
301	D₄	—	12	2	no	—
302	D₄	—	12	2	no	—
303	D₄	—	12	1	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	—	8	2	no	—
306	C₂×C₄	—	12	1	no	—
307	C₂×C₄	—	12	2	no	—
308	C₂×C₄	—	12	2	no	—
309	C₂×C₄	C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
310	C₂×C₄	C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
311	C₂×C₄	C₅×#213	1	1	yes	characteristic
312	C₂×C₄	C₅×#215	1	1	yes	characteristic
313	C₂×C₄	C₅×#215	1	1	yes	characteristic
314	C₂×C₄	C₂×C₅×#67	1	1	yes	characteristic
315	C₈	C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
316	C₈	C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
317	C₈	C₂×C₄×C₅×D₃	1	1	yes	characteristic
318	C₈	C₂×C₅×D₁₂	1	1	yes	characteristic
319	C₂×C₃	—	2	1	no	—
320	C₂×C₃	—	2	1	no	—
321	C₂×C₃	C₅×#360	1	2	yes	complemented
322	C₂×C₃	C₂×C₅×#102	1	1	yes	characteristic
323	D₃	—	8	2	no	—
324	C₅	C₂×#4488	1	1	yes	characteristic, direct product factor, Sylow
325	C₂²	—	2	2	no	—
326	C₂²	—	12	2	no	—
327	C₂²	—	24	2	no	—
328	C₂²	C₅×#809	1	1	yes	characteristic
329	C₂²	C₅×#809	1	1	yes	characteristic
330	C₂²	C₂×C₅×#213	1	1	yes	characteristic
331	C₄	—	8	2	no	—
332	C₄	—	12	2	no	—
333	C₄	C₅×#809	1	1	yes	characteristic
334	C₄	C₅×#809	1	1	yes	characteristic
335	C₄	C₂×C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
336	C₄	C₂×C₅×#215	1	1	yes	characteristic
337	C₃	C₂×C₅×#360	1	1	yes	characteristic, complemented, Sylow
338	C₂	—	2	1	no	—
339	C₂	—	2	1	no	—
340	C₂	—	24	2	no	—
341	C₂	C₅×#4488	1	2	yes	direct product factor
342	C₂	C₂×C₅×#809	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₅	#809
commutator	C₃×C₈	C₂²×C₄×C₅
Frattini	C₂×C₈	C₂²×C₅×D₃
Fitting	C₂×C₃×C₅×#106	C₂
socle	C₂²×C₃×C₅	#102
prime radical	C₂×C₅×#904	C₂
cosocle	C₂×C₃×C₈	C₂³×C₅
hypercenter	C₂×C₅×#106	D₃
hypocenter	C₃	C₂×C₅×#360
LCS	G ▷ C₃×C₈ ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₅ ◁ C₂²×C₄×C₅ ◁ C₂²×C₅×C₈ ◁ C₂×C₅×#106

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₅×#106	C₂	semidirect
3. C₂×C₅×#812	C₂	semidirect
4. C₅×#4488	C₂	direct (N × H)
9. C₂×C₅×Dic₁₂	C₄	semidirect
12. C₅×#904	C₄	semidirect
14. C₂×C₅×D₂₄	C₄	semidirect
17. C₃×C₅×#106	C₂²	semidirect
19. C₅×#812	C₂²	semidirect
21. C₂×#4488	C₅	direct (N × H)
24. C₂×C₅×#106	D₃	semidirect
45. C₅×Dic₁₂	C₂×C₄	semidirect
47. C₅×D₂₄	C₂×C₄	semidirect
52. C₂×C₃×#106	C₂×C₅	semidirect
53. C₂×#812	C₂×C₅	semidirect
54. #4488	C₂×C₅	direct (N × H)
69. C₅×#106	C₂×D₃	semidirect
97. C₂×Dic₁₂	C₄×C₅	semidirect
100. #904	C₄×C₅	semidirect
102. C₂×D₂₄	C₄×C₅	semidirect
105. C₃×#106	C₂²×C₅	semidirect
107. #812	C₂²×C₅	semidirect
136. C₂×#106	C₅×D₃	semidirect
169. Dic₁₂	C₂×C₄×C₅	semidirect
171. D₂₄	C₂×C₄×C₅	semidirect
212. #106	C₂×C₅×D₃	semidirect
215. C₂×C₃×C₅	#360	semidirect
278. C₃×C₅	C₂×#360	semidirect
294. C₂×C₅	#4488	direct (N × H)
321. C₂×C₃	C₅×#360	semidirect
324. C₅	C₂×#4488	direct (N × H)
337. C₃	C₂×C₅×#360	semidirect
341. C₂	C₅×#4488	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×#904	2
C₂×C₃×C₅×#106	2
C₂×C₅×#812	2
C₅×#4488	2
C₂×C₅×#360	3
C₂×#4488	5

Subgroups — C2×C5×#4488 #14314083

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#4488 #14314083