Subgroups — #14281603

Order 1920.

552 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₅×#235	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×C₃⋊#170	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65748	C₂	1	1	yes	maximal, characteristic, complemented
4	#11746492	C₂	1	2	yes	maximal, complemented
5	#11746488	C₂	1	2	yes	maximal, complemented
6	#10605000	—	3	1	no	maximal, Hall
7	C₂×C₅×#235	C₄	1	1	yes	characteristic
8	C₂²×C₃⋊#170	—	2	1	no	—
9	#91815	C₄	1	1	yes	characteristic
10	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic
11	Dic₅×#67	—	2	1	no	—
12	Dic₅×#67	—	2	1	no	—
13	Dic₅×D₁₂	C₄	1	1	yes	characteristic
14	Dic₅×D₁₂	C₂²	1	1	yes	characteristic
15	C₄×D₃×Dic₅	—	2	1	no	—
16	#91371	—	2	1	no	—
17	Dic₅×Dic₆	C₄	1	1	yes	characteristic
18	Dic₅×Dic₆	C₂²	1	1	yes	characteristic
19	C₄×C₃⋊#170	—	2	1	no	—
20	C₄×C₃⋊#170	C₂²	1	2	yes	—
21	C₃×C₂²⋊#170	—	2	1	no	—
22	C₃×C₄⋊#170	C₂²	1	2	yes	—
23	C₃×C₄×#170	—	2	1	no	—
24	#70754	—	5	1	no	maximal, Hall
25	#41×Dic₅	—	3	1	no	—
26	#65748	D₃	1	1	yes	characteristic, complemented
27	C₂×C₄×#170	—	3	1	no	—
28	Q₈⋊#170	—	3	2	no	—
29	D₄⋊#170	—	3	2	no	—
30	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
31	C₂×C₅×#67	—	2	1	no	—
32	C₅×#235	—	2	2	no	—
33	C₅×#235	C₈	1	4	yes	complemented
34	C₂×C₅×D₁₂	C₂×C₄	1	1	yes	characteristic
35	C₂×C₄×C₅×D₃	—	2	1	no	—
36	C₂×C₅×Dic₆	C₂×C₄	1	1	yes	characteristic
37	C₂²×C₃×Dic₅	D₄	1	1	yes	characteristic
38	C₂²×C₃×Dic₅	D₄	1	1	yes	characteristic
39	C₂×D₃×Dic₅	—	2	1	no	—
40	C₂×D₃×Dic₅	—	2	1	no	—
41	C₂×C₃⋊#170	—	2	4	no	—
42	C₂×C₃⋊#170	—	2	2	no	—
43	C₂×C₃×#170	—	2	2	no	—
44	#6719	—	2	1	no	—
45	C₄⋊Dic₁₅	C₂×C₄	1	1	yes	characteristic
46	C₄⋊Dic₁₅	C₂×C₄	1	1	yes	characteristic
47	C₄×Dic₁₅	—	2	1	no	—
48	C₃×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
49	C₃×C₄×Dic₅	D₄	1	1	yes	characteristic
50	C₃×C₄×Dic₅	D₄	1	1	yes	characteristic
51	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
52	Dic₃⋊Dic₅	—	2	1	no	—
53	Dic₃⋊Dic₅	—	2	1	no	—
54	(C₂×D₃)⋊Dic₅	—	2	1	no	—
55	(C₂×D₃)⋊Dic₅	—	2	1	no	—
56	Dic₃×Dic₅	—	2	1	no	—
57	Dic₃×Dic₅	—	2	1	no	—
58	C₄×#235	—	5	1	no	—
59	C₃×#431	—	5	1	no	—
60	C₂×C₄×C₃⋊C₈	—	5	1	no	—
61	#4484	—	5	2	no	—
62	#4483	—	5	2	no	—
63	C₂×C₅×#41	—	3	1	no	—
64	C₂²×#170	—	6	1	no	—
65	Q₈×Dic₅	—	3	1	no	—
66	Q₈×Dic₅	—	3	1	no	—
67	D₄×Dic₅	—	3	1	no	—
68	D₄×Dic₅	—	3	1	no	—
69	D₄×Dic₅	—	6	1	no	—
70	D₄×Dic₅	—	6	1	no	—
71	#4072	—	3	1	no	—
72	#4072	—	6	1	no	—
73	C₂×C₄×Dic₅	—	6	1	no	—
74	C₂×C₄×Dic₅	C₂×D₃	1	1	yes	characteristic
75	C₂²⋊#170	—	2	1	no	—
76	C₄⋊#170	C₂×D₃	1	2	yes	—
77	C₄×#170	—	2	1	no	—
78	C₄×#170	—	3	2	no	—
79	C₄×#170	—	6	1	no	—
80	#1476	—	15	1	no	Sylow
81	C₂³×C₃×C₅	C₂²⋊C₄	1	1	yes	characteristic
82	C₂²×C₅×D₃	—	2	1	no	—
83	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
84	C₂×C₃×C₄×C₅	C₂×C₈	1	2	yes	—
85	C₂×C₃×C₄×C₅	M₁₆	1	2	yes	—
86	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
87	C₂×Dic₁₅	—	2	1	no	—
88	C₂×Dic₁₅	—	2	1	no	—
89	C₅×#67	—	2	4	no	—
90	C₂×C₅×Dic₃	—	2	1	no	—
91	C₅×D₁₂	—	2	1	no	—
92	C₅×D₁₂	C₂×C₈	1	2	yes	complemented
93	C₄×C₅×D₃	—	2	4	no	—
94	C₅×Dic₆	—	2	1	no	—
95	C₅×Dic₆	C₂×C₈	1	2	yes	complemented
96	C₂×C₃×Dic₅	—	2	2	no	—
97	C₂×C₃×Dic₅	—	2	2	no	—
98	C₂×C₃×Dic₅	C₂²⋊C₄	1	1	yes	characteristic
99	C₂×C₃×Dic₅	C₂²⋊C₄	1	1	yes	characteristic
100	C₂×C₃×Dic₅	C₂×D₄	1	1	yes	characteristic
101	C₂×C₃×Dic₅	C₂×D₄	1	1	yes	characteristic
102	D₃×Dic₅	—	4	2	no	—
103	D₃×Dic₅	—	4	2	no	—
104	C₃⋊#170	—	2	4	no	—
105	C₃×#170	—	4	2	no	—
106	C₂×#235	AGL(1,𝔽₅)	1	1	yes	characteristic
107	C₂×C₃×C₄²	—	5	1	no	—
108	C₄×#67	—	10	1	no	—
109	C₄×#67	—	10	1	no	—
110	#926	—	5	1	no	—
111	C₂²×C₃⋊C₈	—	10	1	no	—
112	C₄×D₁₂	—	5	1	no	—
113	C₄×D₁₂	—	5	1	no	—
114	#872	—	10	1	no	—
115	C₄²×D₃	—	10	1	no	—
116	C₄×Dic₆	—	5	1	no	—
117	C₄×Dic₆	—	5	1	no	—
118	C₃×C₄⋊C₈	—	5	2	no	—
119	C₃×C₂²⋊C₈	—	10	1	no	—
120	C₃×C₄×C₈	—	10	1	no	—
121	C₄×C₃⋊C₈	—	5	2	no	—
122	C₄×C₃⋊C₈	—	10	1	no	—
123	C₅×#41	—	3	4	no	—
124	C₅×#41	—	6	2	no	—
125	C₂×C₅×Q₈	—	3	1	no	—
126	C₂×C₅×D₄	—	3	1	no	—
127	C₂×C₅×D₄	—	6	1	no	—
128	C₂²×C₄×C₅	—	6	1	no	—
129	C₂²×C₄×C₅	C₄×D₃	1	1	yes	characteristic
130	C₂²×Dic₅	—	6	1	no	—
131	C₂²×Dic₅	—	6	1	no	—
132	C₂²×Dic₅	D₁₂	1	1	yes	characteristic
133	C₂²×Dic₅	#67	1	1	yes	characteristic
134	C₂×#170	—	2	2	no	—
135	C₂×#170	—	6	4	no	—
136	C₂×#170	—	6	2	no	—
137	C₂²⋊Dic₅	—	6	1	no	—
138	C₂²⋊Dic₅	—	6	1	no	—
139	C₂²⋊Dic₅	—	6	1	no	—
140	C₄⋊Dic₅	—	3	1	no	—
141	C₄⋊Dic₅	—	3	1	no	—
142	C₄⋊Dic₅	—	6	1	no	—
143	C₄⋊Dic₅	—	6	1	no	—
144	C₄×Dic₅	—	6	1	no	—
145	C₄×Dic₅	—	6	1	no	—
146	C₄×Dic₅	—	6	1	no	—
147	C₄×Dic₅	C₄×D₃	1	1	yes	characteristic
148	C₄×Dic₅	D₁₂	1	1	yes	characteristic
149	C₄×Dic₅	#67	1	1	yes	characteristic
150	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
151	C₄×#41	—	15	1	no	—
152	#431	—	5	1	no	—
153	C₂×C₄×C₈	—	15	1	no	—
154	Q₈⋊C₈	—	15	2	no	—
155	D₄⋊C₈	—	15	2	no	—
156	C₂²×C₃×C₅	—	2	1	no	—
157	C₂²×C₃×C₅	—	2	1	no	—
158	C₂²×C₃×C₅	C₂²⋊C₈	1	2	yes	—
159	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
160	C₂×C₅×D₃	—	2	2	no	—
161	C₂×C₅×D₃	—	4	1	no	—
162	C₂×C₅×D₃	—	4	1	no	—
163	C₃×C₄×C₅	C₂²⋊C₈	1	2	yes	—
164	C₃×C₄×C₅	C₂²×C₈	1	1	yes	characteristic
165	C₃×C₄×C₅	C₂×M₁₆	1	1	yes	characteristic
166	Dic₁₅	—	4	1	no	—
167	Dic₁₅	—	4	1	no	—
168	C₃×Dic₅	—	2	1	no	—
169	C₃×Dic₅	—	2	1	no	—
170	C₃×Dic₅	#104	1	2	yes	—
171	C₃×Dic₅	#135	1	2	yes	—
172	C₅×Dic₃	—	2	2	no	—
173	C₂²×C₃×C₄	—	5	1	no	—
174	C₂²×C₃×C₄	—	5	1	no	—
175	C₂²×C₃×C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
176	C₂×#67	—	2	1	no	—
177	#235	—	2	2	no	—
178	#235	#170	1	4	yes	complemented
179	C₂×D₁₂	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
180	C₂×C₄×D₃	—	2	1	no	—
181	C₂×C₄×D₃	—	10	1	no	—
182	C₂×C₄×D₃	—	10	1	no	—
183	C₂×Dic₆	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
184	C₂×C₃×C₈	—	10	2	no	—
185	C₃×C₄²	—	5	1	no	—
186	C₃×C₄²	—	5	1	no	—
187	C₃×C₄²	—	5	1	no	—
188	C₃×C₄²	—	5	1	no	—
189	#217	—	10	1	no	—
190	(C₂×D₃)⋊C₄	—	10	1	no	—
191	(C₂×D₃)⋊C₄	—	10	1	no	—
192	C₄⋊Dic₃	—	5	1	no	—
193	C₄⋊Dic₃	—	5	1	no	—
194	Dic₃⋊C₄	—	10	1	no	—
195	Dic₃⋊C₄	—	10	1	no	—
196	C₄×Dic₃	—	10	1	no	—
197	C₄×Dic₃	—	10	1	no	—
198	C₄×Dic₃	—	10	1	no	—
199	C₂×C₃⋊C₈	—	10	2	no	—
200	C₂×C₃⋊C₈	—	10	4	no	—
201	C₂³×C₅	—	6	1	no	—
202	C₂³×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
203	C₅×Q₈	—	3	2	no	—
204	C₅×Q₈	—	6	1	no	—
205	C₅×D₄	—	3	2	no	—
206	C₅×D₄	—	6	4	no	—
207	C₅×D₄	—	6	1	no	—
208	C₂×C₄×C₅	—	6	1	no	—
209	C₂×C₄×C₅	—	6	4	no	—
210	C₂×C₄×C₅	D₃×C₈	1	2	yes	—
211	C₂×C₄×C₅	ΓL(1,𝔽₂₅)	1	2	yes	—
212	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
213	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
214	C₂×Dic₅	—	2	2	no	—
215	C₂×Dic₅	—	2	2	no	—
216	C₂×Dic₅	—	6	1	no	—
217	C₂×Dic₅	—	6	1	no	—
218	C₂×Dic₅	—	12	2	no	—
219	C₂×Dic₅	—	12	2	no	—
220	C₂×Dic₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
221	C₂×Dic₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
222	C₂×Dic₅	C₂×D₁₂	1	1	yes	characteristic
223	C₂×Dic₅	C₂×#67	1	1	yes	characteristic
224	#170	—	4	2	no	—
225	#170	—	6	4	no	—
226	C₂×#41	—	3	1	no	—
227	C₂²×C₈	—	30	1	no	—
228	C₄×Q₈	—	15	1	no	—
229	C₄×Q₈	—	15	1	no	—
230	C₄×D₄	—	15	1	no	—
231	C₄×D₄	—	15	1	no	—
232	C₄×D₄	—	30	1	no	—
233	C₄×D₄	—	30	1	no	—
234	#117	—	15	1	no	—
235	#117	—	30	1	no	—
236	C₂×C₄²	—	5	1	no	—
237	C₂×C₄²	—	30	1	no	—
238	C₄⋊C₈	—	5	2	no	—
239	C₂²⋊C₈	—	10	1	no	—
240	C₄×C₈	—	10	1	no	—
241	C₄×C₈	—	15	2	no	—
242	C₄×C₈	—	30	1	no	—
243	C₂×C₃×C₅	—	2	2	no	—
244	C₂×C₃×C₅	C₂×C₂²⋊C₈	1	1	yes	characteristic
245	C₂×C₃×C₅	#416	1	1	yes	characteristic
246	C₂×C₃×C₅	C₂×#104	1	1	yes	characteristic
247	C₅×D₃	—	4	2	no	—
248	C₂³×C₃	C₂²⋊AGL(1,𝔽₅)	1	1	yes	characteristic
249	C₂²×D₃	—	2	1	no	—
250	C₂×C₃×C₄	—	5	1	no	—
251	C₂×C₃×C₄	—	5	1	no	—
252	C₂×C₃×C₄	—	5	1	no	—
253	C₂×C₃×C₄	—	5	1	no	—
254	C₂×C₃×C₄	—	10	2	no	—
255	C₂×C₃×C₄	—	10	2	no	—
256	C₂×C₃×C₄	C₂×#170	1	2	yes	—
257	C₂×C₃×C₄	#704	1	2	yes	—
258	C₂×C₃×C₄	C₂²⋊AGL(1,𝔽₅)	1	1	yes	characteristic
259	C₂×C₃×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
260	#67	—	2	4	no	—
261	C₂×Dic₃	—	2	1	no	—
262	C₂×Dic₃	—	10	1	no	—
263	C₂×Dic₃	—	10	1	no	—
264	D₁₂	—	2	1	no	—
265	D₁₂	C₂×#170	1	2	yes	complemented
266	C₄×D₃	—	2	4	no	—
267	C₄×D₃	—	20	2	no	—
268	C₄×D₃	—	20	2	no	—
269	Dic₆	—	2	1	no	—
270	Dic₆	C₂×#170	1	2	yes	complemented
271	C₃×C₈	—	20	2	no	—
272	C₃⋊C₈	—	10	4	no	—
273	C₂²×C₅	—	2	1	no	—
274	C₂²×C₅	—	2	1	no	—
275	C₂²×C₅	—	6	2	no	—
276	C₂²×C₅	—	12	1	no	—
277	C₂²×C₅	—	12	1	no	—
278	C₂²×C₅	(C₂×D₃)⋊C₈	1	2	yes	—
279	C₂²×C₅	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
280	C₄×C₅	—	6	2	no	—
281	C₄×C₅	(C₂×D₃)⋊C₈	1	2	yes	—
282	C₄×C₅	C₂×D₃×C₈	1	1	yes	characteristic
283	C₄×C₅	C₂×ΓL(1,𝔽₂₅)	1	1	yes	characteristic
284	Dic₅	—	2	1	no	—
285	Dic₅	—	2	1	no	—
286	Dic₅	—	12	1	no	—
287	Dic₅	—	12	1	no	—
288	Dic₅	#825	1	2	yes	—
289	Dic₅	#950	1	2	yes	—
290	#41	—	3	4	no	—
291	#41	—	6	2	no	—
292	C₂×Q₈	—	3	1	no	—
293	C₂×D₄	—	3	1	no	—
294	C₂×D₄	—	6	1	no	—
295	C₂²×C₄	—	5	1	no	—
296	C₂²×C₄	—	5	1	no	—
297	C₂²×C₄	—	6	1	no	—
298	C₂²×C₄	—	30	1	no	—
299	C₂²×C₄	—	30	1	no	—
300	C₂²×C₄	D₃×AGL(1,𝔽₅)	1	1	yes	characteristic
301	C₂×C₈	—	10	2	no	—
302	C₂×C₈	—	30	2	no	—
303	C₂×C₈	—	30	4	no	—
304	C₄⋊C₄	—	15	1	no	—
305	C₄⋊C₄	—	15	1	no	—
306	C₄⋊C₄	—	30	1	no	—
307	C₄⋊C₄	—	30	1	no	—
308	C₂²⋊C₄	—	30	1	no	—
309	C₂²⋊C₄	—	30	1	no	—
310	C₂²⋊C₄	—	30	1	no	—
311	C₄²	—	5	1	no	—
312	C₄²	—	5	1	no	—
313	C₄²	—	5	1	no	—
314	C₄²	—	5	1	no	—
315	C₄²	—	30	1	no	—
316	C₄²	—	30	1	no	—
317	C₄²	—	30	1	no	—
318	C₃×C₅	#1476	1	1	yes	characteristic, complemented, Hall
319	C₂²×C₃	—	2	1	no	—
320	C₂²×C₃	—	2	1	no	—
321	C₂²×C₃	C₂²⋊#170	1	2	yes	—
322	C₂²×C₃	C₂×C₂²⋊AGL(1,𝔽₅)	1	1	yes	characteristic
323	C₂×D₃	—	2	2	no	—
324	C₂×D₃	—	4	1	no	—
325	C₂×D₃	—	4	1	no	—
326	C₃×C₄	—	5	2	no	—
327	C₃×C₄	—	5	2	no	—
328	C₃×C₄	—	10	1	no	—
329	C₃×C₄	—	10	1	no	—
330	C₃×C₄	C₂²⋊#170	1	2	yes	—
331	C₃×C₄	C₂²×#170	1	1	yes	characteristic
332	C₃×C₄	C₂×#704	1	1	yes	characteristic
333	Dic₃	—	2	2	no	—
334	Dic₃	—	20	1	no	—
335	Dic₃	—	20	1	no	—
336	C₂×C₅	—	2	2	no	—
337	C₂×C₅	—	12	2	no	—
338	C₂×C₅	#5002	1	1	yes	characteristic
339	C₂×C₅	C₂×(C₂×D₃)⋊C₈	1	1	yes	characteristic
340	C₂×C₅	C₂×#825	1	1	yes	characteristic
341	C₂³	—	6	1	no	—
342	C₂³	(C₂×D₃)⋊AGL(1,𝔽₅)	1	1	yes	characteristic
343	Q₈	—	3	2	no	—
344	Q₈	—	6	1	no	—
345	D₄	—	3	2	no	—
346	D₄	—	6	4	no	—
347	D₄	—	6	1	no	—
348	C₂×C₄	—	5	1	no	—
349	C₂×C₄	—	5	1	no	—
350	C₂×C₄	—	5	1	no	—
351	C₂×C₄	—	5	1	no	—
352	C₂×C₄	—	6	1	no	—
353	C₂×C₄	—	6	4	no	—
354	C₂×C₄	—	10	2	no	—
355	C₂×C₄	—	10	2	no	—
356	C₂×C₄	—	30	1	no	—
357	C₂×C₄	—	30	1	no	—
358	C₂×C₄	—	60	2	no	—
359	C₂×C₄	—	60	2	no	—
360	C₂×C₄	(C₂×D₃)⋊AGL(1,𝔽₅)	1	1	yes	characteristic
361	C₂×C₄	D₃×#170	1	2	yes	—
362	C₂×C₄	#6739	1	2	yes	—
363	C₂×C₄	C₂×D₃×AGL(1,𝔽₅)	1	1	yes	characteristic
364	C₈	—	20	2	no	—
365	C₈	—	30	4	no	—
366	C₂×C₃	—	2	2	no	—
367	C₂×C₃	D₅⋊#104	1	1	yes	characteristic
368	C₂×C₃	#65794	1	1	yes	characteristic
369	C₂×C₃	C₂×C₂²⋊#170	1	1	yes	characteristic
370	D₃	—	4	2	no	—
371	C₅	#70754	1	1	yes	characteristic, complemented, Sylow
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	6	2	no	—
375	C₂²	—	12	1	no	—
376	C₂²	—	12	1	no	—
377	C₂²	(C₂×D₃)⋊#170	1	2	yes	—
378	C₂²	C₂×(C₂×D₃)⋊AGL(1,𝔽₅)	1	1	yes	characteristic
379	C₄	—	5	2	no	—
380	C₄	—	5	2	no	—
381	C₄	—	6	2	no	—
382	C₄	—	10	1	no	—
383	C₄	—	10	1	no	—
384	C₄	—	60	1	no	—
385	C₄	—	60	1	no	—
386	C₄	(C₂×D₃)⋊#170	1	2	yes	—
387	C₄	C₂×D₃×#170	1	1	yes	characteristic
388	C₄	C₂×#6739	1	1	yes	characteristic
389	C₃	#10605000	1	1	yes	characteristic, complemented, Sylow
390	C₂	—	2	2	no	—
391	C₂	—	12	2	no	—
392	C₂	#11751703	1	1	yes	characteristic
393	C₂	D₅⋊#825	1	1	yes	characteristic
394	C₂	C₂×(C₂×D₃)⋊#170	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	(C₂×D₃)⋊AGL(1,𝔽₅)
commutator	C₃×C₄×C₅	C₂²×C₈
Frattini	C₂×C₄	C₂×D₃×AGL(1,𝔽₅)
Fitting	C₂²×C₃×C₄×C₅	C₂×C₄
socle	C₂²×C₃×C₅	C₂×C₂²⋊C₄
prime radical	C₂×C₅×#235	C₄
cosocle	C₃×C₄×Dic₅	C₂³
hypercenter	C₂²×C₄	D₃×AGL(1,𝔽₅)
hypocenter	C₃×C₅	#1476
LCS	G ▷ C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₄

Complements

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

N	H ≅ G/N	type
2. C₂×C₄×C₃⋊#170	C₂	semidirect
3. C₃×#65748	C₂	semidirect
4. #11746492	C₂	semidirect
5. #11746488	C₂	semidirect
26. #65748	D₃	semidirect
33. C₅×#235	C₈	semidirect
92. C₅×D₁₂	C₂×C₈	semidirect
95. C₅×Dic₆	C₂×C₈	semidirect
178. #235	#170	semidirect
265. D₁₂	C₂×#170	semidirect
270. Dic₆	C₂×#170	semidirect
318. C₃×C₅	#1476	semidirect
371. C₅	#70754	semidirect
389. C₃	#10605000	semidirect

Maximal subgroups

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

subgroup	index
Dic₅×#235	2
C₂×C₄×C₃⋊#170	2
C₃×#65748	2
#11746492	2
#11746488	2
#10605000	3
#70754	5