Subgroups — C₅×#10058 #11932778

Order 1280.

602 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#487	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅×#476	C₂	1	1	yes	maximal, characteristic
3	C₅×#2547	C₂	1	1	yes	maximal, characteristic
4	C₅×#1987	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×#332	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₅×D₄⋊C₈	C₂	1	1	yes	maximal, characteristic
7	C₅×#1279	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
9	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
10	C₂×C₅×#124	—	2	1	no	—
11	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
12	C₅×#487	—	2	2	no	—
13	C₅×#487	—	2	2	no	—
14	C₅×#476	—	2	2	no	—
15	C₅×#476	—	2	2	no	—
16	C₂×C₅×#106	—	2	1	no	—
17	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
18	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
19	C₂×C₅×#103	—	2	2	no	—
20	C₂×C₅×#102	—	2	1	no	—
21	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
22	C₅×#397	—	2	2	no	—
23	C₅×#391	—	2	1	no	—
24	C₅×#380	—	2	2	no	—
25	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₅×#340	—	2	2	no	—
27	C₅×#332	—	2	2	no	—
28	C₅×D₄⋊C₈	—	2	2	no	—
29	#10058	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
30	C₂²×C₅×Q₈	—	2	1	no	—
31	C₂²×C₅×Q₈	—	2	1	no	—
32	C₂²×C₅×D₄	D₄	1	1	yes	characteristic
33	C₂³×C₄×C₅	—	2	1	no	—
34	C₂²×C₅×C₈	—	2	1	no	—
35	C₂²×C₅×C₈	—	2	1	no	—
36	C₂²×C₅×C₈	—	2	1	no	—
37	C₅×C₄⋊Q₈	—	2	1	no	—
38	C₅×C₄⋊Q₈	—	2	1	no	—
39	C₅×C₄⋊Q₈	—	2	1	no	—
40	C₅×C₄⋊Q₈	—	2	1	no	—
41	C₅×C₄⋊Q₈	—	2	1	no	—
42	C₅×C₄⋊Q₈	—	2	1	no	—
43	C₅×C₄⋊Q₈	—	2	1	no	—
44	C₅×C₄⋊Q₈	D₄	1	2	yes	—
45	C₅×#124	—	4	2	no	—
46	C₅×#124	—	4	2	no	—
47	C₄×C₅×D₄	—	2	1	no	—
48	C₄×C₅×D₄	—	2	1	no	—
49	C₄×C₅×D₄	—	2	1	no	—
50	C₄×C₅×D₄	—	2	1	no	—
51	C₂×C₅×C₄⋊C₄	—	2	1	no	—
52	C₂×C₅×C₄⋊C₄	—	2	1	no	—
53	C₂×C₅×C₄⋊C₄	—	2	1	no	—
54	C₂×C₅×C₄⋊C₄	D₄	1	2	yes	—
55	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
56	C₂×C₅×C₄⋊C₄	D₄	1	2	yes	—
57	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
58	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
59	C₂×C₄²×C₅	—	2	1	no	—
60	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
61	C₅×#106	—	2	4	no	—
62	C₅×C₄⋊C₈	—	2	1	no	—
63	C₅×C₄⋊C₈	—	2	1	no	—
64	C₅×C₄⋊C₈	—	2	1	no	—
65	C₅×C₄⋊C₈	D₄	1	2	yes	—
66	C₅×#103	—	2	8	no	—
67	C₅×#102	—	2	4	no	—
68	C₄×C₅×C₈	—	2	1	no	—
69	C₄×C₅×C₈	D₄	1	2	yes	—
70	C₅×#95	—	2	4	no	—
71	C₅×#95	—	2	1	no	—
72	C₂×#487	C₂×C₅	1	1	yes	characteristic, complemented
73	C₂×#476	C₂×C₅	1	1	yes	characteristic
74	#2547	C₂×C₅	1	1	yes	characteristic
75	#1987	C₂×C₅	1	1	yes	characteristic, complemented
76	C₂×#332	C₂×C₅	1	1	yes	characteristic, complemented
77	C₂×D₄⋊C₈	C₂×C₅	1	1	yes	characteristic
78	#1279	C₂×C₅	1	1	yes	characteristic, complemented
79	C₂⁴×C₅	—	2	1	no	—
80	C₂×C₅×Q₈	—	2	2	no	—
81	C₂×C₅×Q₈	—	4	4	no	—
82	C₂×C₅×Q₈	—	4	1	no	—
83	C₂×C₅×Q₈	—	4	1	no	—
84	C₂×C₅×Q₈	—	4	1	no	—
85	C₂×C₅×Q₈	—	4	1	no	—
86	C₂×C₅×Q₈	—	4	1	no	—
87	C₂×C₅×Q₈	—	4	1	no	—
88	C₂×C₅×Q₈	—	4	1	no	—
89	C₂×C₅×D₄	—	2	1	no	—
90	C₂×C₅×D₄	—	2	1	no	—
91	C₂×C₅×D₄	—	2	1	no	—
92	C₂×C₅×D₄	—	2	1	no	—
93	C₂×C₅×D₄	—	2	1	no	—
94	C₂×C₅×D₄	SD₁₆	1	2	yes	—
95	C₂²×C₄×C₅	—	2	2	no	—
96	C₂²×C₄×C₅	—	2	2	no	—
97	C₂²×C₄×C₅	—	2	1	no	—
98	C₂²×C₄×C₅	—	4	1	no	—
99	C₂²×C₄×C₅	—	4	1	no	—
100	C₂²×C₄×C₅	—	4	1	no	—
101	C₂²×C₄×C₅	—	4	2	no	—
102	C₂²×C₄×C₅	—	4	2	no	—
103	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
106	C₂×C₅×C₈	—	2	2	no	—
107	C₂×C₅×C₈	—	2	2	no	—
108	C₂×C₅×C₈	—	4	2	no	—
109	C₂×C₅×C₈	—	4	1	no	—
110	C₂×C₅×C₈	—	4	1	no	—
111	C₂×C₅×C₈	—	4	1	no	—
112	C₂×C₅×C₈	—	4	2	no	—
113	C₅×C₄⋊C₄	—	2	2	no	—
114	C₅×C₄⋊C₄	—	2	1	no	—
115	C₅×C₄⋊C₄	—	2	2	no	—
116	C₅×C₄⋊C₄	—	2	2	no	—
117	C₅×C₄⋊C₄	—	2	1	no	—
118	C₅×C₄⋊C₄	—	2	2	no	—
119	C₅×C₄⋊C₄	—	2	2	no	—
120	C₅×C₄⋊C₄	—	2	2	no	—
121	C₅×C₄⋊C₄	—	4	1	no	—
122	C₅×C₄⋊C₄	—	4	1	no	—
123	C₅×C₄⋊C₄	—	4	1	no	—
124	C₅×C₄⋊C₄	—	4	1	no	—
125	C₅×C₂²⋊C₄	—	4	8	no	—
126	C₅×C₂²⋊C₄	—	4	1	no	—
127	C₅×C₂²⋊C₄	—	4	1	no	—
128	C₄²×C₅	—	4	1	no	—
129	C₄²×C₅	—	4	1	no	—
130	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
133	C₄²×C₅	#41	1	1	yes	characteristic
134	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
135	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
136	C₂×#124	—	2	1	no	—
137	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
138	#487	—	2	2	no	—
139	#487	—	2	2	no	—
140	#476	—	2	2	no	—
141	#476	—	2	2	no	—
142	C₂×#106	—	2	1	no	—
143	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
144	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
145	C₂×#103	—	2	2	no	—
146	C₂×#102	—	2	1	no	—
147	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
148	#397	—	2	2	no	—
149	#391	—	2	1	no	—
150	#380	—	2	2	no	—
151	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
152	#340	—	2	2	no	—
153	#332	—	2	2	no	—
154	D₄⋊C₈	—	2	2	no	—
155	C₂³×C₅	—	2	2	no	—
156	C₂³×C₅	—	4	1	no	—
157	C₂³×C₅	—	4	2	no	—
158	C₂³×C₅	—	4	1	no	—
159	C₂³×C₅	—	4	2	no	—
160	C₂³×C₅	#120	1	1	yes	characteristic
161	C₅×Q₈	—	4	4	no	—
162	C₅×Q₈	—	8	2	no	—
163	C₅×Q₈	—	8	1	no	—
164	C₅×Q₈	—	8	1	no	—
165	C₅×Q₈	—	8	1	no	—
166	C₅×Q₈	—	8	1	no	—
167	C₅×D₄	—	2	2	no	—
168	C₅×D₄	—	2	2	no	—
169	C₅×D₄	—	4	1	no	—
170	C₅×D₄	—	4	1	no	—
171	C₂×C₄×C₅	—	2	2	no	—
172	C₂×C₄×C₅	—	4	1	no	—
173	C₂×C₄×C₅	—	4	2	no	—
174	C₂×C₄×C₅	—	4	2	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	—	4	2	no	—
180	C₂×C₄×C₅	—	4	2	no	—
181	C₂×C₄×C₅	—	8	2	no	—
182	C₂×C₄×C₅	—	8	2	no	—
183	C₂×C₄×C₅	—	8	1	no	—
184	C₂×C₄×C₅	—	8	1	no	—
185	C₂×C₄×C₅	#120	1	1	yes	characteristic
186	C₂×C₄×C₅	#120	1	1	yes	characteristic
187	C₂×C₄×C₅	#121	1	1	yes	characteristic
188	C₂×C₄×C₅	#121	1	1	yes	characteristic
189	C₂×C₄×C₅	#121	1	1	yes	characteristic
190	C₂×C₄×C₅	#127	1	1	yes	characteristic
191	C₂×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
192	C₂×C₄×C₅	#135	1	1	yes	characteristic
193	C₂×C₄×C₅	#135	1	2	yes	—
194	C₂×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
195	C₂×C₄×C₅	#137	1	1	yes	characteristic
196	C₂×C₄×C₅	#137	1	2	yes	—
197	C₅×C₈	—	4	2	no	—
198	C₅×C₈	—	4	2	no	—
199	C₅×C₈	—	8	1	no	—
200	C₂²×Q₈	—	2	1	no	—
201	C₂²×Q₈	—	2	1	no	—
202	C₂²×D₄	C₅×D₄	1	1	yes	characteristic
203	C₂³×C₄	—	2	1	no	—
204	C₂²×C₈	—	2	1	no	—
205	C₂²×C₈	—	2	1	no	—
206	C₂²×C₈	—	2	1	no	—
207	C₄⋊Q₈	—	2	1	no	—
208	C₄⋊Q₈	—	2	1	no	—
209	C₄⋊Q₈	—	2	1	no	—
210	C₄⋊Q₈	—	2	1	no	—
211	C₄⋊Q₈	—	2	1	no	—
212	C₄⋊Q₈	—	2	1	no	—
213	C₄⋊Q₈	—	2	1	no	—
214	C₄⋊Q₈	C₅×D₄	1	2	yes	—
215	#124	—	4	2	no	—
216	#124	—	4	2	no	—
217	C₄×D₄	—	2	1	no	—
218	C₄×D₄	—	2	1	no	—
219	C₄×D₄	—	2	1	no	—
220	C₄×D₄	—	2	1	no	—
221	C₂×C₄⋊C₄	—	2	1	no	—
222	C₂×C₄⋊C₄	—	2	1	no	—
223	C₂×C₄⋊C₄	—	2	1	no	—
224	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
225	C₂×C₄⋊C₄	C₅×D₄	1	2	yes	—
226	C₂×C₄⋊C₄	C₅×D₄	1	2	yes	—
227	C₂×C₂²⋊C₄	—	2	4	no	—
228	C₂×C₂²⋊C₄	—	2	1	no	—
229	C₂×C₄²	—	2	1	no	—
230	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
231	#106	—	2	4	no	—
232	C₄⋊C₈	—	2	1	no	—
233	C₄⋊C₈	—	2	1	no	—
234	C₄⋊C₈	—	2	1	no	—
235	C₄⋊C₈	C₅×D₄	1	2	yes	—
236	#103	—	2	8	no	—
237	#102	—	2	4	no	—
238	C₄×C₈	—	2	1	no	—
239	C₄×C₈	C₅×D₄	1	2	yes	—
240	#95	—	2	4	no	—
241	#95	—	2	1	no	—
242	C₂²×C₅	—	4	4	no	—
243	C₂²×C₅	—	4	2	no	—
244	C₂²×C₅	—	8	2	no	—
245	C₂²×C₅	—	8	1	no	—
246	C₂²×C₅	—	8	1	no	—
247	C₂²×C₅	#392	1	1	yes	characteristic
248	C₂²×C₅	#450	1	1	yes	characteristic
249	C₂²×C₅	#452	1	2	yes	—
250	C₂²×C₅	#452	1	1	yes	characteristic
251	C₂²×C₅	#454	1	2	yes	—
252	C₄×C₅	—	2	1	no	—
253	C₄×C₅	—	2	1	no	—
254	C₄×C₅	—	8	2	no	—
255	C₄×C₅	—	8	2	no	—
256	C₄×C₅	—	8	2	no	—
257	C₄×C₅	—	8	1	no	—
258	C₄×C₅	#448	1	1	yes	characteristic
259	C₄×C₅	#449	1	1	yes	characteristic
260	C₄×C₅	#464	1	2	yes	—
261	C₄×C₅	#465	1	1	yes	characteristic
262	C₄×C₅	#468	1	1	yes	characteristic
263	C₄×C₅	#495	1	1	yes	characteristic
264	C₄×C₅	#497	1	1	yes	characteristic
265	C₂⁴	—	2	1	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	4	4	no	—
268	C₂×Q₈	—	4	1	no	—
269	C₂×Q₈	—	4	1	no	—
270	C₂×Q₈	—	4	1	no	—
271	C₂×Q₈	—	4	1	no	—
272	C₂×Q₈	—	4	1	no	—
273	C₂×Q₈	—	4	1	no	—
274	C₂×Q₈	—	4	1	no	—
275	C₂×D₄	—	2	1	no	—
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	—	2	1	no	—
278	C₂×D₄	—	2	1	no	—
279	C₂×D₄	—	2	1	no	—
280	C₂×D₄	C₅×SD₁₆	1	2	yes	—
281	C₂²×C₄	—	2	1	no	—
282	C₂²×C₄	—	2	2	no	—
283	C₂²×C₄	—	2	2	no	—
284	C₂²×C₄	—	4	1	no	—
285	C₂²×C₄	—	4	1	no	—
286	C₂²×C₄	—	4	1	no	—
287	C₂²×C₄	—	4	2	no	—
288	C₂²×C₄	—	4	2	no	—
289	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
290	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
291	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	4	2	no	—
295	C₂×C₈	—	4	1	no	—
296	C₂×C₈	—	4	1	no	—
297	C₂×C₈	—	4	1	no	—
298	C₂×C₈	—	4	2	no	—
299	C₄⋊C₄	—	2	2	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	2	1	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	4	1	no	—
308	C₄⋊C₄	—	4	1	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₂²⋊C₄	—	4	8	no	—
312	C₂²⋊C₄	—	4	1	no	—
313	C₂²⋊C₄	—	4	1	no	—
314	C₄²	—	4	1	no	—
315	C₄²	—	4	1	no	—
316	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
317	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
318	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
319	C₄²	C₅×#41	1	1	yes	characteristic
320	C₂×C₅	—	8	2	no	—
321	C₂×C₅	#1635	1	2	yes	—
322	C₂×C₅	#1638	1	2	yes	—
323	C₂×C₅	#2000	1	1	yes	characteristic
324	C₂×C₅	#2003	1	1	yes	characteristic
325	C₂×C₅	#2015	1	1	yes	characteristic
326	C₂³	—	2	2	no	—
327	C₂³	—	4	1	no	—
328	C₂³	—	4	2	no	—
329	C₂³	—	4	1	no	—
330	C₂³	—	4	2	no	—
331	C₂³	C₅×#120	1	1	yes	characteristic
332	Q₈	—	4	4	no	—
333	Q₈	—	8	2	no	—
334	Q₈	—	8	1	no	—
335	Q₈	—	8	1	no	—
336	Q₈	—	8	1	no	—
337	Q₈	—	8	1	no	—
338	D₄	—	2	2	no	—
339	D₄	—	2	2	no	—
340	D₄	—	4	1	no	—
341	D₄	—	4	1	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	8	2	no	—
353	C₂×C₄	—	8	2	no	—
354	C₂×C₄	—	8	1	no	—
355	C₂×C₄	—	8	1	no	—
356	C₂×C₄	C₅×#120	1	1	yes	characteristic
357	C₂×C₄	C₅×#120	1	1	yes	characteristic
358	C₂×C₄	C₅×#121	1	1	yes	characteristic
359	C₂×C₄	C₅×#121	1	1	yes	characteristic
360	C₂×C₄	C₅×#121	1	1	yes	characteristic
361	C₂×C₄	C₅×#127	1	1	yes	characteristic
362	C₂×C₄	C₂×C₅×SD₁₆	1	1	yes	characteristic
363	C₂×C₄	C₅×#135	1	1	yes	characteristic
364	C₂×C₄	C₅×#135	1	2	yes	—
365	C₂×C₄	C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
366	C₂×C₄	C₅×#137	1	1	yes	characteristic
367	C₂×C₄	C₅×#137	1	2	yes	—
368	C₈	—	4	2	no	—
369	C₈	—	4	2	no	—
370	C₈	—	8	1	no	—
371	C₅	#10058	1	1	yes	characteristic, direct product factor, Sylow
372	C₂²	—	4	4	no	—
373	C₂²	—	4	2	no	—
374	C₂²	—	8	1	no	—
375	C₂²	—	8	2	no	—
376	C₂²	—	8	1	no	—
377	C₂²	C₅×#392	1	1	yes	characteristic
378	C₂²	C₅×#450	1	1	yes	characteristic
379	C₂²	C₅×#452	1	2	yes	—
380	C₂²	C₅×#452	1	1	yes	characteristic
381	C₂²	C₅×#454	1	2	yes	—
382	C₄	—	2	1	no	—
383	C₄	—	2	1	no	—
384	C₄	—	8	1	no	—
385	C₄	—	8	2	no	—
386	C₄	—	8	2	no	—
387	C₄	—	8	2	no	—
388	C₄	C₅×#448	1	1	yes	characteristic
389	C₄	C₅×#449	1	1	yes	characteristic
390	C₄	C₅×#464	1	2	yes	—
391	C₄	C₅×#465	1	1	yes	characteristic
392	C₄	C₅×#468	1	1	yes	characteristic
393	C₄	C₅×#495	1	1	yes	characteristic
394	C₄	C₅×#497	1	1	yes	characteristic
395	C₂	—	8	2	no	—
396	C₂	C₅×#1635	1	2	yes	—
397	C₂	C₅×#1638	1	2	yes	—
398	C₂	C₅×#2000	1	1	yes	characteristic
399	C₂	C₅×#2003	1	1	yes	characteristic
400	C₂	C₅×#2015	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	#120
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₅
prime radical	C₂²×C₅×D₄	D₄
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ C₂×C₄²×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#487	C₂	semidirect
4. C₅×#1987	C₂	semidirect
5. C₂×C₅×#332	C₂	semidirect
7. C₅×#1279	C₂	semidirect
29. #10058	C₅	direct (N × H)
72. C₂×#487	C₂×C₅	semidirect
75. #1987	C₂×C₅	semidirect
76. C₂×#332	C₂×C₅	semidirect
78. #1279	C₂×C₅	semidirect
371. C₅	#10058	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×#487	2
C₂×C₅×#476	2
C₅×#2547	2
C₅×#1987	2
C₂×C₅×#332	2
C₂×C₅×D₄⋊C₈	2
C₅×#1279	2
#10058	5

Subgroups — C5×#10058 #11932778

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#10058 #11932778