Subgroups — C₅×#19436 #11942156

Order 1280.

590 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3210	C₂	1	1	yes	maximal, characteristic
2	C₅×#3113	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3103	C₂	1	1	yes	maximal, characteristic
4	C₅×#2983	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#1702	C₂	1	2	yes	maximal, complemented
6	C₅×#1700	C₂	1	2	yes	maximal, complemented
7	C₅×#1690	C₂	1	2	yes	maximal, complemented
8	C₅×#1686	C₂	1	2	yes	maximal, complemented
9	C₅×#1572	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#1553	C₂	1	1	yes	maximal, characteristic
11	C₅×#1544	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#533	C₂²	1	1	yes	characteristic
13	C₅×#532	C₂²	1	1	yes	characteristic
14	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
15	C₅×#494	C₂²	1	1	yes	characteristic
16	C₅×#492	C₂²	1	1	yes	characteristic
17	C₅×#487	C₂²	1	1	yes	characteristic
18	C₅×#486	C₂²	1	1	yes	characteristic
19	C₅×#483	—	2	1	no	—
20	C₅×#481	—	2	1	no	—
21	C₅×#475	C₂²	1	2	yes	—
22	C₅×#475	C₂²	1	2	yes	—
23	C₅×#464	—	2	2	no	—
24	C₅×#462	C₂²	1	2	yes	—
25	C₅×#460	C₂²	1	2	yes	—
26	C₅×#452	—	2	2	no	—
27	C₅×#451	—	2	1	no	—
28	C₅×#448	—	2	1	no	—
29	C₅×#446	—	2	2	no	—
30	C₅×#446	C₂²	1	2	yes	—
31	C₅×#446	C₂²	1	2	yes	—
32	C₅×#441	—	2	2	no	—
33	C₄×C₅×SD₁₆	—	2	2	no	—
34	C₅×#432	—	2	2	no	—
35	C₅×#432	C₂²	1	1	yes	characteristic
36	C₅×#431	C₂²	1	1	yes	characteristic
37	C₅×#431	C₂²	1	1	yes	characteristic
38	C₅×#431	C₂²	1	1	yes	characteristic
39	C₅×#335	C₂²	1	2	yes	—
40	C₅×#334	C₂²	1	2	yes	—
41	C₅×#332	C₂²	1	2	yes	—
42	C₅×#332	C₂²	1	2	yes	—
43	C₅×#332	C₂²	1	2	yes	—
44	C₅×#331	C₂²	1	2	yes	—
45	#19436	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
46	C₂×C₅×#41	—	2	1	no	—
47	C₂²×C₅×Q₈	D₄	1	1	yes	characteristic
48	C₂×C₅×Q₁₆	—	2	2	no	—
49	C₂×C₅×Q₁₆	—	2	2	no	—
50	C₂×C₅×SD₁₆	—	2	2	no	—
51	C₂×C₅×SD₁₆	—	2	2	no	—
52	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
53	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
54	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
55	C₅×#127	C₂³	1	1	yes	characteristic
56	C₅×#125	—	2	1	no	—
57	C₅×#124	—	2	1	no	—
58	C₅×C₂²⋊Q₈	—	2	1	no	—
59	C₅×C₂²⋊Q₈	—	2	1	no	—
60	C₅×#121	—	2	1	no	—
61	C₅×#121	—	2	1	no	—
62	C₄×C₅×Q₈	—	2	1	no	—
63	C₄×C₅×Q₈	—	2	1	no	—
64	C₄×C₅×Q₈	—	2	1	no	—
65	C₄×C₅×Q₈	—	2	1	no	—
66	C₄×C₅×Q₈	D₄	1	2	yes	—
67	C₄×C₅×Q₈	C₂³	1	2	yes	—
68	C₄×C₅×D₄	—	2	1	no	—
69	C₄×C₅×D₄	—	2	1	no	—
70	C₅×#117	—	2	1	no	—
71	C₂×C₅×C₄⋊C₄	—	2	1	no	—
72	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
73	C₂×C₄²×C₅	—	2	1	no	—
74	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
75	C₅×#106	—	2	2	no	—
76	C₅×#106	—	2	2	no	—
77	C₅×C₄⋊C₈	—	2	2	no	—
78	C₅×C₄⋊C₈	—	2	2	no	—
79	C₅×C₄⋊C₈	D₄	1	2	yes	—
80	C₅×C₄⋊C₈	C₂³	1	2	yes	—
81	C₅×C₄⋊C₈	C₂³	1	2	yes	—
82	C₅×C₄⋊C₈	C₂³	1	2	yes	—
83	C₅×#103	—	2	2	no	—
84	C₅×#103	—	2	2	no	—
85	C₅×#103	—	2	2	no	—
86	C₅×#103	—	2	2	no	—
87	C₅×#102	—	2	2	no	—
88	C₅×#102	—	2	2	no	—
89	C₅×C₂²⋊C₈	—	2	1	no	—
90	C₅×C₂²⋊C₈	—	2	1	no	—
91	C₅×C₂²⋊C₈	—	2	1	no	—
92	C₅×C₂²⋊C₈	D₄	1	2	yes	—
93	C₅×#97	—	2	2	no	—
94	C₅×#97	—	2	2	no	—
95	C₅×#97	—	2	1	no	—
96	C₄×C₅×C₈	—	2	1	no	—
97	C₄×C₅×C₈	—	2	1	no	—
98	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
99	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
100	#3210	C₂×C₅	1	1	yes	characteristic
101	#3113	C₂×C₅	1	1	yes	characteristic, complemented
102	#3103	C₂×C₅	1	1	yes	characteristic
103	#2983	C₂×C₅	1	1	yes	characteristic, complemented
104	#1702	C₂×C₅	1	2	yes	complemented
105	#1700	C₂×C₅	1	2	yes	complemented
106	#1690	C₂×C₅	1	2	yes	complemented
107	#1686	C₂×C₅	1	2	yes	complemented
108	#1572	C₂×C₅	1	1	yes	characteristic, complemented
109	#1553	C₂×C₅	1	1	yes	characteristic
110	#1544	C₂×C₅	1	1	yes	characteristic, complemented
111	C₅×#41	—	8	2	no	—
112	C₂×C₅×Q₈	—	2	1	no	—
113	C₂×C₅×Q₈	—	2	1	no	—
114	C₂×C₅×Q₈	—	2	1	no	—
115	C₂×C₅×Q₈	—	2	1	no	—
116	C₂×C₅×Q₈	—	4	2	no	—
117	C₂×C₅×Q₈	C₂×D₄	1	2	yes	—
118	C₂×C₅×D₄	—	2	1	no	—
119	C₂×C₅×D₄	—	2	1	no	—
120	C₂×C₅×D₄	—	2	1	no	—
121	C₂×C₅×D₄	—	4	1	no	—
122	C₂²×C₄×C₅	—	2	1	no	—
123	C₂²×C₄×C₅	—	2	1	no	—
124	C₂²×C₄×C₅	—	4	1	no	—
125	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
126	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
127	C₂²×C₄×C₅	#41	1	1	yes	characteristic
128	C₅×Q₁₆	—	4	4	no	—
129	C₅×Q₁₆	—	8	2	no	—
130	C₅×SD₁₆	—	4	4	no	—
131	C₅×SD₁₆	—	8	2	no	—
132	C₂×C₅×C₈	—	2	2	no	—
133	C₂×C₅×C₈	—	2	2	no	—
134	C₂×C₅×C₈	—	2	2	no	—
135	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
136	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
137	C₅×C₄⋊C₄	—	2	2	no	—
138	C₅×C₄⋊C₄	—	2	1	no	—
139	C₅×C₄⋊C₄	—	2	2	no	—
140	C₅×C₄⋊C₄	—	2	1	no	—
141	C₅×C₄⋊C₄	—	2	1	no	—
142	C₅×C₄⋊C₄	—	2	1	no	—
143	C₅×C₄⋊C₄	—	2	1	no	—
144	C₅×C₄⋊C₄	—	2	1	no	—
145	C₅×C₄⋊C₄	—	2	1	no	—
146	C₅×C₄⋊C₄	—	4	1	no	—
147	C₅×C₄⋊C₄	—	4	1	no	—
148	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
149	C₅×C₂²⋊C₄	—	4	1	no	—
150	C₅×C₂²⋊C₄	—	4	1	no	—
151	C₅×C₂²⋊C₄	—	4	1	no	—
152	C₄²×C₅	—	2	2	no	—
153	C₄²×C₅	—	2	2	no	—
154	C₄²×C₅	—	4	1	no	—
155	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
156	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
157	C₄²×C₅	#41	1	1	yes	characteristic
158	C₄²×C₅	C₂⁴	1	1	yes	characteristic
159	#533	C₂²×C₅	1	1	yes	characteristic
160	#532	C₂²×C₅	1	1	yes	characteristic
161	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
162	#494	C₂²×C₅	1	1	yes	characteristic
163	#492	C₂²×C₅	1	1	yes	characteristic
164	#487	C₂²×C₅	1	1	yes	characteristic
165	#486	C₂²×C₅	1	1	yes	characteristic
166	#483	—	2	1	no	—
167	#481	—	2	1	no	—
168	#475	C₂²×C₅	1	2	yes	—
169	#475	C₂²×C₅	1	2	yes	—
170	#464	—	2	2	no	—
171	#462	C₂²×C₅	1	2	yes	—
172	#460	C₂²×C₅	1	2	yes	—
173	#452	—	2	2	no	—
174	#451	—	2	1	no	—
175	#448	—	2	1	no	—
176	#446	—	2	2	no	—
177	#446	C₂²×C₅	1	2	yes	—
178	#446	C₂²×C₅	1	2	yes	—
179	#441	—	2	2	no	—
180	C₄×SD₁₆	—	2	2	no	—
181	#432	—	2	2	no	—
182	#432	C₂²×C₅	1	1	yes	characteristic
183	#431	C₂²×C₅	1	1	yes	characteristic
184	#431	C₂²×C₅	1	1	yes	characteristic
185	#431	C₂²×C₅	1	1	yes	characteristic
186	#335	C₂²×C₅	1	2	yes	—
187	#334	C₂²×C₅	1	2	yes	—
188	#332	C₂²×C₅	1	2	yes	—
189	#332	C₂²×C₅	1	2	yes	—
190	#332	C₂²×C₅	1	2	yes	—
191	#331	C₂²×C₅	1	2	yes	—
192	C₂³×C₅	—	4	1	no	—
193	C₂³×C₅	#121	1	1	yes	characteristic
194	C₅×Q₈	—	2	2	no	—
195	C₅×Q₈	—	2	2	no	—
196	C₅×Q₈	—	4	2	no	—
197	C₅×Q₈	—	4	2	no	—
198	C₅×Q₈	—	4	2	no	—
199	C₅×Q₈	—	4	2	no	—
200	C₅×D₄	—	4	2	no	—
201	C₅×D₄	—	4	2	no	—
202	C₅×D₄	—	8	1	no	—
203	C₅×D₄	—	8	2	no	—
204	C₂×C₄×C₅	—	2	2	no	—
205	C₂×C₄×C₅	—	2	2	no	—
206	C₂×C₄×C₅	—	2	2	no	—
207	C₂×C₄×C₅	—	2	2	no	—
208	C₂×C₄×C₅	—	4	1	no	—
209	C₂×C₄×C₅	—	4	2	no	—
210	C₂×C₄×C₅	—	4	1	no	—
211	C₂×C₄×C₅	—	4	1	no	—
212	C₂×C₄×C₅	—	4	1	no	—
213	C₂×C₄×C₅	—	8	2	no	—
214	C₂×C₄×C₅	—	8	1	no	—
215	C₂×C₄×C₅	#121	1	1	yes	characteristic
216	C₂×C₄×C₅	#121	1	1	yes	characteristic
217	C₂×C₄×C₅	#121	1	1	yes	characteristic
218	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
219	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
220	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
221	C₅×C₈	—	2	2	no	—
222	C₅×C₈	—	2	2	no	—
223	C₅×C₈	—	4	2	no	—
224	C₅×C₈	—	4	2	no	—
225	C₅×C₈	—	4	2	no	—
226	C₂×#41	—	2	1	no	—
227	C₂²×Q₈	C₅×D₄	1	1	yes	characteristic
228	C₂×Q₁₆	—	2	2	no	—
229	C₂×Q₁₆	—	2	2	no	—
230	C₂×SD₁₆	—	2	2	no	—
231	C₂×SD₁₆	—	2	2	no	—
232	C₄⋊Q₈	C₂³×C₅	1	1	yes	characteristic
233	C₄⋊Q₈	C₂³×C₅	1	1	yes	characteristic
234	C₄⋊Q₈	C₂³×C₅	1	1	yes	characteristic
235	#127	C₂³×C₅	1	1	yes	characteristic
236	#125	—	2	1	no	—
237	#124	—	2	1	no	—
238	C₂²⋊Q₈	—	2	1	no	—
239	C₂²⋊Q₈	—	2	1	no	—
240	#121	—	2	1	no	—
241	#121	—	2	1	no	—
242	C₄×Q₈	—	2	1	no	—
243	C₄×Q₈	—	2	1	no	—
244	C₄×Q₈	—	2	1	no	—
245	C₄×Q₈	—	2	1	no	—
246	C₄×Q₈	C₅×D₄	1	2	yes	—
247	C₄×Q₈	C₂³×C₅	1	2	yes	—
248	C₄×D₄	—	2	1	no	—
249	C₄×D₄	—	2	1	no	—
250	#117	—	2	1	no	—
251	C₂×C₄⋊C₄	—	2	1	no	—
252	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
253	C₂×C₄²	—	2	1	no	—
254	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
255	#106	—	2	2	no	—
256	#106	—	2	2	no	—
257	C₄⋊C₈	—	2	2	no	—
258	C₄⋊C₈	—	2	2	no	—
259	C₄⋊C₈	C₅×D₄	1	2	yes	—
260	C₄⋊C₈	C₂³×C₅	1	2	yes	—
261	C₄⋊C₈	C₂³×C₅	1	2	yes	—
262	C₄⋊C₈	C₂³×C₅	1	2	yes	—
263	#103	—	2	2	no	—
264	#103	—	2	2	no	—
265	#103	—	2	2	no	—
266	#103	—	2	2	no	—
267	#102	—	2	2	no	—
268	#102	—	2	2	no	—
269	C₂²⋊C₈	—	2	1	no	—
270	C₂²⋊C₈	—	2	1	no	—
271	C₂²⋊C₈	—	2	1	no	—
272	C₂²⋊C₈	C₅×D₄	1	2	yes	—
273	#97	—	2	2	no	—
274	#97	—	2	2	no	—
275	#97	—	2	1	no	—
276	C₄×C₈	—	2	1	no	—
277	C₄×C₈	—	2	1	no	—
278	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
279	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
280	C₂²×C₅	—	2	1	no	—
281	C₂²×C₅	—	2	1	no	—
282	C₂²×C₅	—	2	1	no	—
283	C₂²×C₅	—	8	1	no	—
284	C₂²×C₅	—	8	1	no	—
285	C₂²×C₅	—	8	1	no	—
286	C₂²×C₅	C₂×#121	1	1	yes	characteristic
287	C₄×C₅	—	2	1	no	—
288	C₄×C₅	—	2	1	no	—
289	C₄×C₅	—	2	1	no	—
290	C₄×C₅	—	2	1	no	—
291	C₄×C₅	—	4	2	no	—
292	C₄×C₅	—	4	2	no	—
293	C₄×C₅	—	8	1	no	—
294	C₄×C₅	—	8	1	no	—
295	C₄×C₅	—	8	1	no	—
296	C₄×C₅	#575	1	2	yes	—
297	C₄×C₅	#577	1	2	yes	—
298	#41	—	8	2	no	—
299	C₂×Q₈	—	2	1	no	—
300	C₂×Q₈	—	2	1	no	—
301	C₂×Q₈	—	2	1	no	—
302	C₂×Q₈	—	2	1	no	—
303	C₂×Q₈	—	4	2	no	—
304	C₂×Q₈	C₂×C₅×D₄	1	2	yes	—
305	C₂×D₄	—	2	1	no	—
306	C₂×D₄	—	2	1	no	—
307	C₂×D₄	—	2	1	no	—
308	C₂×D₄	—	4	1	no	—
309	C₂²×C₄	—	2	1	no	—
310	C₂²×C₄	—	2	1	no	—
311	C₂²×C₄	—	4	1	no	—
312	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
313	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
314	C₂²×C₄	C₅×#41	1	1	yes	characteristic
315	Q₁₆	—	4	4	no	—
316	Q₁₆	—	8	2	no	—
317	SD₁₆	—	4	4	no	—
318	SD₁₆	—	8	2	no	—
319	C₂×C₈	—	2	2	no	—
320	C₂×C₈	—	2	2	no	—
321	C₂×C₈	—	2	2	no	—
322	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
323	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
324	C₄⋊C₄	—	2	2	no	—
325	C₄⋊C₄	—	2	1	no	—
326	C₄⋊C₄	—	2	2	no	—
327	C₄⋊C₄	—	2	1	no	—
328	C₄⋊C₄	—	2	1	no	—
329	C₄⋊C₄	—	2	1	no	—
330	C₄⋊C₄	—	2	1	no	—
331	C₄⋊C₄	—	2	1	no	—
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	—	4	1	no	—
334	C₄⋊C₄	—	4	1	no	—
335	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
336	C₂²⋊C₄	—	4	1	no	—
337	C₂²⋊C₄	—	4	1	no	—
338	C₂²⋊C₄	—	4	1	no	—
339	C₄²	—	2	2	no	—
340	C₄²	—	2	2	no	—
341	C₄²	—	4	1	no	—
342	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
343	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
344	C₄²	C₅×#41	1	1	yes	characteristic
345	C₄²	C₂⁴×C₅	1	1	yes	characteristic
346	C₂×C₅	—	4	1	no	—
347	C₂×C₅	—	16	1	no	—
348	C₂×C₅	#3043	1	1	yes	characteristic
349	C₂×C₅	#3054	1	1	yes	characteristic
350	C₂×C₅	#3069	1	1	yes	characteristic
351	C₂³	—	4	1	no	—
352	C₂³	C₅×#121	1	1	yes	characteristic
353	Q₈	—	2	2	no	—
354	Q₈	—	2	2	no	—
355	Q₈	—	4	2	no	—
356	Q₈	—	4	2	no	—
357	Q₈	—	4	2	no	—
358	Q₈	—	4	2	no	—
359	D₄	—	4	2	no	—
360	D₄	—	4	2	no	—
361	D₄	—	8	1	no	—
362	D₄	—	8	2	no	—
363	C₂×C₄	—	2	2	no	—
364	C₂×C₄	—	2	2	no	—
365	C₂×C₄	—	2	2	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	4	2	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	4	1	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	8	2	no	—
373	C₂×C₄	—	8	1	no	—
374	C₂×C₄	C₅×#121	1	1	yes	characteristic
375	C₂×C₄	C₅×#121	1	1	yes	characteristic
376	C₂×C₄	C₅×#121	1	1	yes	characteristic
377	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
378	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
379	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
380	C₈	—	2	2	no	—
381	C₈	—	2	2	no	—
382	C₈	—	4	2	no	—
383	C₈	—	4	2	no	—
384	C₈	—	4	2	no	—
385	C₅	#19436	1	1	yes	characteristic, direct product factor, Sylow
386	C₂²	—	2	1	no	—
387	C₂²	—	2	1	no	—
388	C₂²	—	2	1	no	—
389	C₂²	—	8	1	no	—
390	C₂²	—	8	1	no	—
391	C₂²	—	8	1	no	—
392	C₂²	C₂×C₅×#121	1	1	yes	characteristic
393	C₄	—	2	1	no	—
394	C₄	—	2	1	no	—
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	4	2	no	—
398	C₄	—	4	2	no	—
399	C₄	—	8	1	no	—
400	C₄	—	8	1	no	—
401	C₄	—	8	1	no	—
402	C₄	C₅×#575	1	2	yes	—
403	C₄	C₅×#577	1	2	yes	—
404	C₂	—	4	1	no	—
405	C₂	—	16	1	no	—
406	C₂	C₅×#3043	1	1	yes	characteristic
407	C₂	C₅×#3054	1	1	yes	characteristic
408	C₂	C₅×#3069	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₅
prime radical	C₅×#532	C₂²
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₅ ◁ C₂×C₄²×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₅×#3113	C₂	semidirect
4. C₅×#2983	C₂	semidirect
5. C₅×#1702	C₂	semidirect
6. C₅×#1700	C₂	semidirect
7. C₅×#1690	C₂	semidirect
8. C₅×#1686	C₂	semidirect
9. C₅×#1572	C₂	semidirect
11. C₅×#1544	C₂	semidirect
45. #19436	C₅	direct (N × H)
101. #3113	C₂×C₅	semidirect
103. #2983	C₂×C₅	semidirect
104. #1702	C₂×C₅	semidirect
105. #1700	C₂×C₅	semidirect
106. #1690	C₂×C₅	semidirect
107. #1686	C₂×C₅	semidirect
108. #1572	C₂×C₅	semidirect
110. #1544	C₂×C₅	semidirect
385. C₅	#19436	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅×#3210	2
C₅×#3113	2
C₅×#3103	2
C₅×#2983	2
C₅×#1702	2
C₅×#1700	2
C₅×#1690	2
C₅×#1686	2
C₅×#1572	2
C₅×#1553	2
C₅×#1544	2
#19436	5

Subgroups — C5×#19436 #11942156

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#19436 #11942156