Subgroups — C₅×#19212 #11941932

Order 1280.

646 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3230	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#3208	C₂	1	1	yes	maximal, characteristic
3	C₂×C₅×#486	C₂	1	1	yes	maximal, characteristic
4	C₅×#2960	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#1698	C₂	1	4	yes	maximal, complemented
6	C₅×#1678	C₂	1	4	yes	maximal, complemented
7	C₅×#1564	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#1548	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#1545	C₂	1	1	yes	maximal, characteristic
10	C₅×#533	C₂²	1	1	yes	characteristic
11	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₂×C₅×#127	C₂²	1	1	yes	characteristic
13	C₅×#500	—	2	1	no	—
14	C₅×#492	—	2	1	no	—
15	C₅×#487	—	2	1	no	—
16	C₅×#486	—	2	1	no	—
17	C₅×#486	—	2	1	no	—
18	C₅×#486	—	2	1	no	—
19	C₅×#486	C₂²	1	2	yes	—
20	C₅×#486	C₂²	1	2	yes	—
21	C₅×#484	—	2	2	no	—
22	C₅×#477	C₂²	1	4	yes	complemented
23	C₅×#460	C₂²	1	4	yes	—
24	C₅×#450	—	2	2	no	—
25	C₅×#446	—	2	1	no	—
26	C₅×#446	C₂²	1	2	yes	complemented
27	C₅×C₈×Q₈	—	2	1	no	—
28	C₅×C₈×Q₈	C₂²	1	2	yes	complemented
29	C₅×#431	C₂²	1	1	yes	characteristic
30	C₅×#431	C₂²	1	1	yes	characteristic
31	C₅×#424	—	2	1	no	—
32	C₅×#423	C₂²	1	1	yes	characteristic
33	C₂×C₅×#102	—	2	1	no	—
34	C₂×C₅×#102	—	2	1	no	—
35	C₅×#405	—	2	1	no	—
36	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
37	C₅×#335	C₂²	1	2	yes	complemented
38	C₅×#334	C₂²	1	2	yes	complemented
39	C₅×#333	C₂²	1	4	yes	complemented
40	C₅×#331	C₂²	1	4	yes	—
41	#19212	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
42	C₂²×C₅×Q₈	—	2	1	no	—
43	C₂²×C₅×D₄	—	2	1	no	—
44	C₂²×C₅×D₄	—	2	1	no	—
45	C₂²×C₅×D₄	—	2	1	no	—
46	C₂×C₅×SD₁₆	—	2	4	no	—
47	C₂×C₅×M₁₆	—	2	1	no	—
48	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
49	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
50	C₅×C₄⋊Q₈	—	2	1	no	—
51	C₅×C₄⋊Q₈	—	2	1	no	—
52	C₅×C₄⋊Q₈	—	2	1	no	—
53	C₅×C₄⋊Q₈	D₄	1	1	yes	characteristic
54	C₅×C₄⋊Q₈	D₄	1	1	yes	characteristic
55	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
56	C₅×#127	—	2	1	no	—
57	C₅×#127	—	2	1	no	—
58	C₅×#127	—	2	1	no	—
59	C₅×#127	C₂³	1	2	yes	—
60	C₅×#125	—	2	1	no	—
61	C₅×C₂²⋊Q₈	—	2	1	no	—
62	C₅×C₂²⋊Q₈	D₄	1	2	yes	—
63	C₄×C₅×Q₈	—	2	1	no	—
64	C₄×C₅×Q₈	C₂³	1	2	yes	—
65	C₅×#117	—	2	1	no	—
66	C₂×C₅×C₄⋊C₄	—	2	1	no	—
67	C₂×C₅×C₄⋊C₄	—	2	1	no	—
68	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
69	C₅×#107	—	2	4	no	—
70	C₅×C₄⋊C₈	—	2	2	no	—
71	C₅×C₄⋊C₈	—	2	2	no	—
72	C₅×C₄⋊C₈	—	2	1	no	—
73	C₅×C₄⋊C₈	C₂³	1	2	yes	—
74	C₅×C₄⋊C₈	C₂³	1	2	yes	—
75	C₅×C₄⋊C₈	C₂³	1	2	yes	—
76	C₅×#103	—	2	4	no	—
77	C₅×#102	—	2	2	no	—
78	C₅×#102	—	2	2	no	—
79	C₅×#102	—	2	2	no	—
80	C₅×#102	—	2	2	no	—
81	C₅×#102	—	2	4	no	—
82	C₅×C₂²⋊C₈	—	2	1	no	—
83	C₅×C₂²⋊C₈	—	2	1	no	—
84	C₅×#97	—	2	2	no	—
85	C₄×C₅×C₈	—	2	2	no	—
86	C₄×C₅×C₈	—	2	1	no	—
87	C₄×C₅×C₈	—	2	1	no	—
88	C₄×C₅×C₈	D₄	1	1	yes	characteristic
89	C₄×C₅×C₈	D₄	1	1	yes	characteristic
90	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
91	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
92	#3230	C₂×C₅	1	1	yes	characteristic, complemented
93	#3208	C₂×C₅	1	1	yes	characteristic
94	C₂×#486	C₂×C₅	1	1	yes	characteristic
95	#2960	C₂×C₅	1	1	yes	characteristic, complemented
96	#1698	C₂×C₅	1	4	yes	complemented
97	#1678	C₂×C₅	1	4	yes	complemented
98	#1564	C₂×C₅	1	1	yes	characteristic, complemented
99	#1548	C₂×C₅	1	1	yes	characteristic, complemented
100	#1545	C₂×C₅	1	1	yes	characteristic
101	C₂⁴×C₅	—	4	1	no	—
102	C₂×C₅×Q₈	—	2	1	no	—
103	C₂×C₅×Q₈	—	2	2	no	—
104	C₂×C₅×Q₈	—	4	1	no	—
105	C₂×C₅×Q₈	—	8	2	no	—
106	C₂×C₅×Q₈	C₂×D₄	1	2	yes	—
107	C₂×C₅×D₄	—	2	2	no	—
108	C₂×C₅×D₄	—	2	2	no	—
109	C₂×C₅×D₄	—	2	2	no	—
110	C₂×C₅×D₄	—	4	1	no	—
111	C₂×C₅×D₄	—	4	1	no	—
112	C₂×C₅×D₄	—	4	1	no	—
113	C₂×C₅×D₄	—	4	2	no	—
114	C₂×C₅×D₄	—	4	2	no	—
115	C₂×C₅×D₄	—	8	2	no	—
116	C₂×C₅×D₄	—	8	2	no	—
117	C₂²×C₄×C₅	—	4	1	no	—
118	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
119	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
120	C₂²×C₄×C₅	#41	1	1	yes	characteristic
121	C₅×SD₁₆	—	8	4	no	—
122	C₅×M₁₆	—	4	2	no	—
123	C₂×C₅×C₈	—	2	2	no	—
124	C₂×C₅×C₈	—	2	2	no	—
125	C₂×C₅×C₈	—	2	2	no	—
126	C₂×C₅×C₈	—	2	2	no	—
127	C₂×C₅×C₈	—	2	2	no	—
128	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
129	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
130	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
131	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
132	C₅×C₄⋊C₄	—	2	1	no	—
133	C₅×C₄⋊C₄	—	2	1	no	—
134	C₅×C₄⋊C₄	—	2	1	no	—
135	C₅×C₄⋊C₄	—	2	2	no	—
136	C₅×C₄⋊C₄	—	2	2	no	—
137	C₅×C₄⋊C₄	—	2	2	no	—
138	C₅×C₄⋊C₄	—	2	2	no	—
139	C₅×C₄⋊C₄	—	4	1	no	—
140	C₅×C₄⋊C₄	—	4	1	no	—
141	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
142	C₅×C₂²⋊C₄	—	2	2	no	—
143	C₄²×C₅	—	2	2	no	—
144	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
145	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
146	C₄²×C₅	#41	1	1	yes	characteristic
147	C₄²×C₅	C₂⁴	1	1	yes	characteristic
148	#533	C₂²×C₅	1	1	yes	characteristic
149	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
150	C₂×#127	C₂²×C₅	1	1	yes	characteristic
151	#500	—	2	1	no	—
152	#492	—	2	1	no	—
153	#487	—	2	1	no	—
154	#486	—	2	1	no	—
155	#486	—	2	1	no	—
156	#486	—	2	1	no	—
157	#486	C₂²×C₅	1	2	yes	—
158	#486	C₂²×C₅	1	2	yes	—
159	#484	—	2	2	no	—
160	#477	C₂²×C₅	1	4	yes	complemented
161	#460	C₂²×C₅	1	4	yes	—
162	#450	—	2	2	no	—
163	#446	—	2	1	no	—
164	#446	C₂²×C₅	1	2	yes	complemented
165	C₈×Q₈	—	2	1	no	—
166	C₈×Q₈	C₂²×C₅	1	2	yes	complemented
167	#431	C₂²×C₅	1	1	yes	characteristic
168	#431	C₂²×C₅	1	1	yes	characteristic
169	#424	—	2	1	no	—
170	#423	C₂²×C₅	1	1	yes	characteristic
171	C₂×#102	—	2	1	no	—
172	C₂×#102	—	2	1	no	—
173	#405	—	2	1	no	—
174	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
175	#335	C₂²×C₅	1	2	yes	complemented
176	#334	C₂²×C₅	1	2	yes	complemented
177	#333	C₂²×C₅	1	4	yes	complemented
178	#331	C₂²×C₅	1	4	yes	—
179	C₂³×C₅	—	4	2	no	—
180	C₂³×C₅	—	8	2	no	—
181	C₂³×C₅	—	8	2	no	—
182	C₂³×C₅	—	8	2	no	—
183	C₂³×C₅	#121	1	1	yes	characteristic
184	C₅×Q₈	—	2	4	no	—
185	C₅×Q₈	—	4	2	no	—
186	C₅×Q₈	—	8	2	no	—
187	C₅×Q₈	—	8	2	no	—
188	C₅×D₄	—	4	2	no	—
189	C₅×D₄	—	4	2	no	—
190	C₅×D₄	—	4	4	no	—
191	C₅×D₄	—	8	2	no	—
192	C₅×D₄	—	8	2	no	—
193	C₅×D₄	—	8	2	no	—
194	C₅×D₄	—	8	2	no	—
195	C₂×C₄×C₅	—	2	2	no	—
196	C₂×C₄×C₅	—	2	2	no	—
197	C₂×C₄×C₅	—	2	2	no	—
198	C₂×C₄×C₅	—	2	2	no	—
199	C₂×C₄×C₅	—	4	2	no	—
200	C₂×C₄×C₅	—	8	2	no	—
201	C₂×C₄×C₅	#121	1	1	yes	characteristic
202	C₂×C₄×C₅	#121	1	1	yes	characteristic
203	C₂×C₄×C₅	#121	1	1	yes	characteristic
204	C₂×C₄×C₅	#135	1	2	yes	—
205	C₂×C₄×C₅	#137	1	2	yes	—
206	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
207	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
208	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
209	C₅×C₈	—	2	1	no	—
210	C₅×C₈	—	2	1	no	—
211	C₅×C₈	—	2	1	no	—
212	C₅×C₈	—	2	1	no	—
213	C₅×C₈	—	4	2	no	—
214	C₅×C₈	—	4	2	no	—
215	C₅×C₈	—	4	2	no	—
216	C₂²×Q₈	—	2	1	no	—
217	C₂²×D₄	—	2	1	no	—
218	C₂²×D₄	—	2	1	no	—
219	C₂²×D₄	—	2	1	no	—
220	C₂×SD₁₆	—	2	4	no	—
221	C₂×M₁₆	—	2	1	no	—
222	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
223	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
224	C₄⋊Q₈	—	2	1	no	—
225	C₄⋊Q₈	—	2	1	no	—
226	C₄⋊Q₈	—	2	1	no	—
227	C₄⋊Q₈	C₅×D₄	1	1	yes	characteristic
228	C₄⋊Q₈	C₅×D₄	1	1	yes	characteristic
229	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
230	#127	—	2	1	no	—
231	#127	—	2	1	no	—
232	#127	—	2	1	no	—
233	#127	C₂³×C₅	1	2	yes	—
234	#125	—	2	1	no	—
235	C₂²⋊Q₈	—	2	1	no	—
236	C₂²⋊Q₈	C₅×D₄	1	2	yes	—
237	C₄×Q₈	—	2	1	no	—
238	C₄×Q₈	C₂³×C₅	1	2	yes	—
239	#117	—	2	1	no	—
240	C₂×C₄⋊C₄	—	2	1	no	—
241	C₂×C₄⋊C₄	—	2	1	no	—
242	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
243	#107	—	2	4	no	—
244	C₄⋊C₈	—	2	2	no	—
245	C₄⋊C₈	—	2	2	no	—
246	C₄⋊C₈	—	2	1	no	—
247	C₄⋊C₈	C₂³×C₅	1	2	yes	—
248	C₄⋊C₈	C₂³×C₅	1	2	yes	—
249	C₄⋊C₈	C₂³×C₅	1	2	yes	—
250	#103	—	2	4	no	—
251	#102	—	2	2	no	—
252	#102	—	2	2	no	—
253	#102	—	2	2	no	—
254	#102	—	2	2	no	—
255	#102	—	2	4	no	—
256	C₂²⋊C₈	—	2	1	no	—
257	C₂²⋊C₈	—	2	1	no	—
258	#97	—	2	2	no	—
259	C₄×C₈	—	2	2	no	—
260	C₄×C₈	—	2	1	no	—
261	C₄×C₈	—	2	1	no	—
262	C₄×C₈	C₅×D₄	1	1	yes	characteristic
263	C₄×C₈	C₅×D₄	1	1	yes	characteristic
264	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
265	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
266	C₂²×C₅	—	2	1	no	—
267	C₂²×C₅	—	2	1	no	—
268	C₂²×C₅	—	8	2	no	—
269	C₂²×C₅	—	8	2	no	—
270	C₂²×C₅	—	8	2	no	—
271	C₂²×C₅	—	16	4	no	—
272	C₂²×C₅	#464	1	2	yes	—
273	C₂²×C₅	C₂×#121	1	1	yes	characteristic
274	C₄×C₅	—	2	1	no	—
275	C₄×C₅	—	2	1	no	—
276	C₄×C₅	—	4	2	no	—
277	C₄×C₅	—	4	2	no	—
278	C₄×C₅	—	8	2	no	—
279	C₄×C₅	#464	1	2	yes	—
280	C₄×C₅	#472	1	2	yes	—
281	C₄×C₅	C₂×#135	1	1	yes	characteristic
282	C₄×C₅	C₂×#137	1	1	yes	characteristic
283	C₄×C₅	#577	1	2	yes	—
284	C₂⁴	—	4	1	no	—
285	C₂×Q₈	—	2	1	no	—
286	C₂×Q₈	—	2	2	no	—
287	C₂×Q₈	—	4	1	no	—
288	C₂×Q₈	—	8	2	no	—
289	C₂×Q₈	C₂×C₅×D₄	1	2	yes	—
290	C₂×D₄	—	2	2	no	—
291	C₂×D₄	—	2	2	no	—
292	C₂×D₄	—	2	2	no	—
293	C₂×D₄	—	4	1	no	—
294	C₂×D₄	—	4	1	no	—
295	C₂×D₄	—	4	1	no	—
296	C₂×D₄	—	4	2	no	—
297	C₂×D₄	—	4	2	no	—
298	C₂×D₄	—	8	2	no	—
299	C₂×D₄	—	8	2	no	—
300	C₂²×C₄	—	4	1	no	—
301	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
302	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
303	C₂²×C₄	C₅×#41	1	1	yes	characteristic
304	SD₁₆	—	8	4	no	—
305	M₁₆	—	4	2	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
312	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
313	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
314	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
315	C₄⋊C₄	—	2	1	no	—
316	C₄⋊C₄	—	2	1	no	—
317	C₄⋊C₄	—	2	1	no	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	4	1	no	—
323	C₄⋊C₄	—	4	1	no	—
324	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
325	C₂²⋊C₄	—	2	2	no	—
326	C₄²	—	2	2	no	—
327	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
328	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
329	C₄²	C₅×#41	1	1	yes	characteristic
330	C₄²	C₂⁴×C₅	1	1	yes	characteristic
331	C₂×C₅	—	2	2	no	—
332	C₂×C₅	—	16	2	no	—
333	C₂×C₅	C₂×#464	1	1	yes	characteristic
334	C₂×C₅	#3057	1	1	yes	characteristic
335	C₂×C₅	C₂×#472	1	1	yes	characteristic
336	C₂³	—	4	2	no	—
337	C₂³	—	8	2	no	—
338	C₂³	—	8	2	no	—
339	C₂³	—	8	2	no	—
340	C₂³	C₅×#121	1	1	yes	characteristic
341	Q₈	—	2	4	no	—
342	Q₈	—	4	2	no	—
343	Q₈	—	8	2	no	—
344	Q₈	—	8	2	no	—
345	D₄	—	4	2	no	—
346	D₄	—	4	2	no	—
347	D₄	—	4	4	no	—
348	D₄	—	8	2	no	—
349	D₄	—	8	2	no	—
350	D₄	—	8	2	no	—
351	D₄	—	8	2	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	2	2	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	4	2	no	—
357	C₂×C₄	—	8	2	no	—
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×#135	1	2	yes	—
362	C₂×C₄	C₅×#137	1	2	yes	—
363	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
364	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
365	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
366	C₈	—	2	1	no	—
367	C₈	—	2	1	no	—
368	C₈	—	2	1	no	—
369	C₈	—	2	1	no	—
370	C₈	—	4	2	no	—
371	C₈	—	4	2	no	—
372	C₈	—	4	2	no	—
373	C₅	#19212	1	1	yes	characteristic, direct product factor, Sylow
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	8	2	no	—
377	C₂²	—	8	2	no	—
378	C₂²	—	8	2	no	—
379	C₂²	—	16	4	no	—
380	C₂²	C₅×#464	1	2	yes	—
381	C₂²	C₂×C₅×#121	1	1	yes	characteristic
382	C₄	—	2	1	no	—
383	C₄	—	2	1	no	—
384	C₄	—	4	2	no	—
385	C₄	—	4	2	no	—
386	C₄	—	8	2	no	—
387	C₄	C₅×#464	1	2	yes	—
388	C₄	C₅×#472	1	2	yes	—
389	C₄	C₂×C₅×#135	1	1	yes	characteristic
390	C₄	C₂×C₅×#137	1	1	yes	characteristic
391	C₄	C₅×#577	1	2	yes	—
392	C₂	—	2	2	no	—
393	C₂	—	16	2	no	—
394	C₂	C₂×C₅×#464	1	1	yes	characteristic
395	C₂	C₅×#3057	1	1	yes	characteristic
396	C₂	C₂×C₅×#472	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₅
prime radical	C₂×C₅×#127	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
1. C₅×#3230	C₂	semidirect
4. C₅×#2960	C₂	semidirect
5. C₅×#1698	C₂	semidirect
6. C₅×#1678	C₂	semidirect
7. C₅×#1564	C₂	semidirect
8. C₅×#1548	C₂	semidirect
22. C₅×#477	C₂²	semidirect
26. C₅×#446	C₂²	semidirect
28. C₅×C₈×Q₈	C₂²	semidirect
37. C₅×#335	C₂²	semidirect
38. C₅×#334	C₂²	semidirect
39. C₅×#333	C₂²	semidirect
41. #19212	C₅	direct (N × H)
92. #3230	C₂×C₅	semidirect
95. #2960	C₂×C₅	semidirect
96. #1698	C₂×C₅	semidirect
97. #1678	C₂×C₅	semidirect
98. #1564	C₂×C₅	semidirect
99. #1548	C₂×C₅	semidirect
160. #477	C₂²×C₅	semidirect
164. #446	C₂²×C₅	semidirect
166. C₈×Q₈	C₂²×C₅	semidirect
175. #335	C₂²×C₅	semidirect
176. #334	C₂²×C₅	semidirect
177. #333	C₂²×C₅	semidirect
373. C₅	#19212	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×#3230	2
C₅×#3208	2
C₂×C₅×#486	2
C₅×#2960	2
C₅×#1698	2
C₅×#1678	2
C₅×#1564	2
C₅×#1548	2
C₅×#1545	2
#19212	5

Subgroups — C5×#19212 #11941932

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#19212 #11941932