Subgroups — #11754458

Order 960.

456 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#6712	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×C₅×#67	C₂	1	1	yes	maximal, characteristic
3	C₃×#4070	C₂	1	1	yes	maximal, characteristic, complemented
4	#91576	C₂	1	1	yes	maximal, characteristic, complemented
5	#91576	C₂	1	1	yes	maximal, characteristic, complemented
6	#67⋊Dic₅	C₂	1	1	yes	maximal, characteristic
7	#67⋊Dic₅	C₂	1	1	yes	maximal, characteristic
8	#91436	C₂	1	1	yes	maximal, characteristic, complemented
9	#91410	C₂	1	1	yes	maximal, characteristic, complemented
10	D₃×#683	C₂	1	1	yes	maximal, characteristic, complemented
11	#91379	C₂	1	1	yes	maximal, characteristic, complemented
12	#91352	C₂	1	1	yes	maximal, characteristic, complemented
13	#91346	C₂	1	1	yes	maximal, characteristic, complemented
14	#91327	C₂	1	1	yes	maximal, characteristic, complemented
15	#91324	C₂	1	1	yes	maximal, characteristic, complemented
16	#65873	—	3	1	no	maximal, Hall
17	C₂²×C₃×C₄×C₅	C₂²	1	1	yes	characteristic
18	C₂²×Dic₁₅	C₂²	1	1	yes	characteristic
19	C₂²×Dic₁₅	C₂²	1	1	yes	characteristic
20	C₂×C₅×#67	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
22	C₂×C₃×Dic₁₀	C₂²	1	1	yes	characteristic
23	C₂×#1204	C₂²	1	1	yes	characteristic
24	C₂×#1204	C₂²	1	1	yes	characteristic
25	C₂×D₃×Dic₅	C₂²	1	1	yes	characteristic
26	C₂×D₃×Dic₅	C₂²	1	1	yes	characteristic
27	#6712	C₂²	1	1	yes	characteristic
28	#6712	C₂²	1	1	yes	characteristic
29	#6712	C₂²	1	1	yes	characteristic
30	#6712	C₂²	1	1	yes	characteristic
31	C₅×#217	C₂²	1	1	yes	characteristic
32	C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
33	C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
34	C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
35	C₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
36	C₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
37	C₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
38	C₃×#683	C₂²	1	1	yes	characteristic
39	C₃×#683	C₂²	1	1	yes	characteristic
40	Dic₃⋊Dic₅	C₂²	1	1	yes	characteristic
41	Dic₃⋊Dic₅	C₂²	1	1	yes	characteristic
42	Dic₃⋊Dic₅	C₂²	1	1	yes	characteristic
43	Dic₃⋊Dic₅	C₂²	1	1	yes	characteristic
44	#6669	C₂²	1	1	yes	characteristic
45	#6669	C₂²	1	1	yes	characteristic
46	#6668	C₂²	1	1	yes	characteristic
47	#6668	C₂²	1	1	yes	characteristic
48	(C₂×D₃)⋊Dic₅	C₂²	1	1	yes	characteristic
49	(C₂×D₃)⋊Dic₅	C₂²	1	1	yes	characteristic
50	Dic₃×Dic₅	C₂²	1	1	yes	characteristic
51	Dic₃×Dic₅	C₂²	1	1	yes	characteristic
52	#5636	—	5	1	no	maximal, Hall
53	C₄×C₅×D₄	—	3	1	no	—
54	D₄×Dic₅	—	3	1	no	—
55	D₄×Dic₅	—	3	1	no	—
56	#4070	—	3	1	no	—
57	#4070	D₃	1	1	yes	characteristic, complemented
58	C₂×#683	—	3	1	no	—
59	C₂×#683	—	3	1	no	—
60	#4036	—	3	1	no	—
61	#4034	—	3	1	no	—
62	#4024	—	3	1	no	—
63	#4024	—	3	1	no	—
64	#4024	—	3	1	no	—
65	#4024	—	3	1	no	—
66	#4016	—	3	1	no	—
67	C₄×Dic₁₀	—	3	1	no	—
68	C₂³×C₃×C₅	C₂³	1	1	yes	characteristic
69	C₂²×C₅×D₃	C₂³	1	1	yes	characteristic
70	C₂×C₃×C₄×C₅	—	4	1	no	—
71	C₂×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
72	C₂×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
73	C₂×Dic₁₅	—	2	2	no	—
74	C₂×Dic₁₅	—	4	1	no	—
75	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
76	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
77	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
78	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
79	C₅×#67	Q₈	1	4	yes	complemented
80	C₂×C₅×Dic₃	C₂³	1	1	yes	characteristic
81	C₂×C₅×Dic₃	C₂³	1	1	yes	characteristic
82	C₂×C₅×Dic₃	C₂³	1	1	yes	characteristic
83	C₄×C₅×D₃	—	4	1	no	—
84	C₂×C₃×Dic₅	C₂³	1	1	yes	characteristic
85	C₂×C₃×Dic₅	C₂³	1	1	yes	characteristic
86	C₂×C₃×Dic₅	C₂³	1	1	yes	characteristic
87	C₂×C₃×Dic₅	C₂³	1	1	yes	characteristic
88	C₃×Dic₁₀	—	4	1	no	—
89	#1204	—	2	2	no	—
90	#1204	—	4	1	no	—
91	D₃×Dic₅	—	2	2	no	—
92	D₃×Dic₅	—	4	1	no	—
93	C₃×C₂²⋊Q₈	—	5	1	no	—
94	#946	—	5	1	no	—
95	#944	—	5	1	no	—
96	C₄×#67	D₅	1	1	yes	characteristic
97	C₂×Dic₃⋊C₄	—	5	1	no	—
98	#896	—	5	1	no	—
99	#896	—	5	1	no	—
100	D₃×C₄⋊C₄	—	5	1	no	—
101	#889	—	5	1	no	—
102	#889	—	5	1	no	—
103	#887	—	5	1	no	—
104	#67⋊C₄	—	5	1	no	—
105	#67⋊C₄	—	5	1	no	—
106	#878	—	5	1	no	—
107	#878	—	5	1	no	—
108	C₂×C₅×D₄	—	3	1	no	—
109	C₂²×C₄×C₅	—	3	1	no	—
110	C₂²×C₄×C₅	C₂×D₃	1	1	yes	characteristic
111	C₂²×Dic₅	—	3	1	no	—
112	C₂²×Dic₅	—	3	1	no	—
113	C₂²×Dic₅	—	3	1	no	—
114	C₂²×Dic₅	—	3	1	no	—
115	C₂×Dic₁₀	—	3	1	no	—
116	C₂×Dic₁₀	—	3	1	no	—
117	C₂×Dic₁₀	C₂×D₃	1	1	yes	characteristic
118	C₅×C₄⋊C₄	—	3	1	no	—
119	C₅×C₂²⋊C₄	—	3	1	no	—
120	C₅×C₂²⋊C₄	—	3	1	no	—
121	C₄²×C₅	—	3	1	no	—
122	C₂²⋊Dic₅	—	3	1	no	—
123	C₂²⋊Dic₅	—	3	1	no	—
124	C₂²⋊Dic₅	C₂×D₃	1	1	yes	characteristic
125	C₂²⋊Dic₅	C₂×D₃	1	1	yes	characteristic
126	C₄⋊Dic₅	—	3	1	no	—
127	C₄⋊Dic₅	—	3	1	no	—
128	C₄⋊Dic₅	—	3	1	no	—
129	C₄⋊Dic₅	—	3	1	no	—
130	C₄⋊Dic₅	C₂×D₃	1	1	yes	characteristic
131	#683	—	3	1	no	—
132	#683	—	3	1	no	—
133	#683	—	3	1	no	—
134	#683	—	3	1	no	—
135	#683	—	3	1	no	—
136	#683	—	3	1	no	—
137	#683	—	3	1	no	—
138	#683	—	3	1	no	—
139	#683	C₂×D₃	1	1	yes	characteristic
140	#683	C₂×D₃	1	1	yes	characteristic
141	C₄×Dic₅	—	3	1	no	—
142	C₄×Dic₅	—	3	1	no	—
143	#554	—	15	1	no	Sylow
144	C₂²×C₃×C₅	—	2	1	no	—
145	C₂²×C₃×C₅	—	2	1	no	—
146	C₂²×C₃×C₅	C₂×Q₈	1	2	yes	—
147	C₂²×C₃×C₅	C₂⁴	1	1	yes	characteristic
148	C₂×C₅×D₃	—	2	1	no	—
149	C₂×C₅×D₃	—	2	1	no	—
150	C₂×C₅×D₃	C₂×Q₈	1	2	yes	—
151	C₃×C₄×C₅	—	2	1	no	—
152	C₃×C₄×C₅	—	2	1	no	—
153	Dic₁₅	—	2	1	no	—
154	Dic₁₅	—	2	1	no	—
155	Dic₁₅	—	2	1	no	—
156	Dic₁₅	#41	1	2	yes	—
157	C₃×Dic₅	—	2	1	no	—
158	C₃×Dic₅	—	2	1	no	—
159	C₃×Dic₅	—	2	1	no	—
160	C₃×Dic₅	—	2	1	no	—
161	C₅×Dic₃	—	2	1	no	—
162	C₅×Dic₃	—	2	1	no	—
163	C₅×Dic₃	C₂×Q₈	1	2	yes	—
164	C₂×C₃×Q₈	—	5	1	no	—
165	C₂²×C₃×C₄	C₂×D₅	1	1	yes	characteristic
166	C₂×#67	C₂×D₅	1	1	yes	characteristic
167	C₂²×Dic₃	—	5	1	no	—
168	C₂²×Dic₃	—	5	1	no	—
169	C₂×C₄×D₃	—	5	1	no	—
170	C₂×C₄×D₃	—	5	1	no	—
171	C₂×C₄×D₃	C₂×D₅	1	1	yes	characteristic
172	C₂×Dic₆	—	5	1	no	—
173	C₂×Dic₆	—	5	1	no	—
174	C₃×C₄⋊C₄	—	5	1	no	—
175	C₃×C₄⋊C₄	—	5	1	no	—
176	C₃×C₄⋊C₄	—	5	1	no	—
177	C₃×C₂²⋊C₄	—	5	1	no	—
178	C₃×C₂²⋊C₄	—	5	1	no	—
179	#217	C₂×D₅	1	1	yes	characteristic
180	(C₂×D₃)⋊C₄	—	5	1	no	—
181	(C₂×D₃)⋊C₄	—	5	1	no	—
182	(C₂×D₃)⋊C₄	C₂×D₅	1	1	yes	characteristic
183	C₄⋊Dic₃	—	5	1	no	—
184	C₄⋊Dic₃	—	5	1	no	—
185	Dic₃⋊C₄	—	5	1	no	—
186	Dic₃⋊C₄	—	5	1	no	—
187	Dic₃⋊C₄	—	5	1	no	—
188	Dic₃⋊C₄	—	5	1	no	—
189	Dic₃⋊C₄	—	5	1	no	—
190	Dic₃⋊C₄	—	5	1	no	—
191	Dic₃⋊C₄	—	5	1	no	—
192	Dic₃⋊C₄	—	5	1	no	—
193	Dic₃⋊C₄	—	5	1	no	—
194	Dic₃⋊C₄	—	5	1	no	—
195	Dic₃⋊C₄	C₂×D₅	1	1	yes	characteristic
196	C₄×Dic₃	—	5	1	no	—
197	C₄×Dic₃	—	5	1	no	—
198	C₄×Dic₃	C₂×D₅	1	1	yes	characteristic
199	C₂³×C₅	—	3	1	no	—
200	C₂³×C₅	C₂²×D₃	1	1	yes	characteristic
201	C₅×D₄	—	3	4	no	—
202	C₂×C₄×C₅	—	3	1	no	—
203	C₂×C₄×C₅	—	3	1	no	—
204	C₂×C₄×C₅	—	3	1	no	—
205	C₂×C₄×C₅	—	4	1	no	—
206	C₂×C₄×C₅	—	12	1	no	—
207	C₂×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
208	C₂×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
209	C₂×Dic₅	—	3	1	no	—
210	C₂×Dic₅	—	3	1	no	—
211	C₂×Dic₅	—	3	1	no	—
212	C₂×Dic₅	—	3	1	no	—
213	C₂×Dic₅	—	6	2	no	—
214	C₂×Dic₅	—	6	2	no	—
215	C₂×Dic₅	—	12	1	no	—
216	C₂×Dic₅	—	12	1	no	—
217	C₂×Dic₅	C₂²×D₃	1	1	yes	characteristic
218	C₂×Dic₅	C₂²×D₃	1	1	yes	characteristic
219	C₂×Dic₅	C₂²×D₃	1	1	yes	characteristic
220	C₂×Dic₅	C₂²×D₃	1	1	yes	characteristic
221	Dic₁₀	—	4	1	no	—
222	Dic₁₀	—	6	2	no	—
223	Dic₁₀	—	12	1	no	—
224	C₄⋊Q₈	—	15	1	no	—
225	#125	—	15	1	no	—
226	#125	—	15	1	no	—
227	C₂²⋊Q₈	—	5	1	no	—
228	C₂²⋊Q₈	—	15	1	no	—
229	C₂²⋊Q₈	—	15	1	no	—
230	C₂²⋊Q₈	—	15	1	no	—
231	C₂²⋊Q₈	—	15	1	no	—
232	C₂²⋊Q₈	—	15	1	no	—
233	C₄×Q₈	—	15	1	no	—
234	C₄×D₄	—	3	1	no	—
235	C₄×D₄	—	15	1	no	—
236	C₄×D₄	—	15	1	no	—
237	C₂×C₄⋊C₄	—	15	1	no	—
238	C₂×C₄⋊C₄	—	15	1	no	—
239	C₂×C₃×C₅	—	2	2	no	—
240	C₂×C₃×C₅	C₂²×Q₈	1	1	yes	characteristic
241	C₂×C₃×C₅	C₂×#41	1	1	yes	characteristic
242	C₂×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
243	C₅×D₃	—	2	2	no	—
244	C₂³×C₃	C₂²×D₅	1	1	yes	characteristic
245	C₂²×D₃	C₂²×D₅	1	1	yes	characteristic
246	C₃×Q₈	—	20	1	no	—
247	C₂×C₃×C₄	—	4	1	no	—
248	C₂×C₃×C₄	—	5	1	no	—
249	C₂×C₃×C₄	—	5	1	no	—
250	C₂×C₃×C₄	—	5	1	no	—
251	C₂×C₃×C₄	—	5	1	no	—
252	C₂×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
253	C₂×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
254	#67	Dic₁₀	1	4	yes	complemented
255	C₂×Dic₃	—	5	1	no	—
256	C₂×Dic₃	—	5	1	no	—
257	C₂×Dic₃	—	5	1	no	—
258	C₂×Dic₃	—	5	1	no	—
259	C₂×Dic₃	—	10	2	no	—
260	C₂×Dic₃	—	20	1	no	—
261	C₂×Dic₃	C₂²×D₅	1	1	yes	characteristic
262	C₂×Dic₃	C₂²×D₅	1	1	yes	characteristic
263	C₂×Dic₃	C₂²×D₅	1	1	yes	characteristic
264	C₄×D₃	—	4	1	no	—
265	C₄×D₃	—	10	2	no	—
266	C₄×D₃	—	20	1	no	—
267	Dic₆	—	10	2	no	—
268	Dic₆	—	20	1	no	—
269	C₂²×C₅	—	2	1	no	—
270	C₂²×C₅	—	2	1	no	—
271	C₂²×C₅	—	3	2	no	—
272	C₂²×C₅	—	6	1	no	—
273	C₂²×C₅	—	6	1	no	—
274	C₂²×C₅	D₃×Q₈	1	2	yes	—
275	C₂²×C₅	C₂³×D₃	1	1	yes	characteristic
276	C₄×C₅	—	2	1	no	—
277	C₄×C₅	—	2	1	no	—
278	C₄×C₅	—	3	2	no	—
279	C₄×C₅	—	6	1	no	—
280	C₄×C₅	—	6	1	no	—
281	Dic₅	—	2	1	no	—
282	Dic₅	—	2	1	no	—
283	Dic₅	—	2	1	no	—
284	Dic₅	—	2	1	no	—
285	Dic₅	—	3	2	no	—
286	Dic₅	—	6	1	no	—
287	Dic₅	—	6	1	no	—
288	Dic₅	—	6	1	no	—
289	C₂×Q₈	—	5	1	no	—
290	C₂×Q₈	—	15	1	no	—
291	C₂×Q₈	—	15	1	no	—
292	C₂×D₄	—	3	1	no	—
293	C₂²×C₄	—	3	1	no	—
294	C₂²×C₄	—	15	1	no	—
295	C₂²×C₄	—	15	1	no	—
296	C₂²×C₄	—	15	1	no	—
297	C₂²×C₄	—	15	1	no	—
298	C₂²×C₄	D₃×D₅	1	1	yes	characteristic
299	C₄⋊C₄	—	3	1	no	—
300	C₄⋊C₄	—	5	1	no	—
301	C₄⋊C₄	—	5	1	no	—
302	C₄⋊C₄	—	5	1	no	—
303	C₄⋊C₄	—	15	1	no	—
304	C₄⋊C₄	—	15	1	no	—
305	C₄⋊C₄	—	15	1	no	—
306	C₄⋊C₄	—	15	1	no	—
307	C₄⋊C₄	—	15	1	no	—
308	C₄⋊C₄	—	15	1	no	—
309	C₄⋊C₄	—	15	1	no	—
310	C₄⋊C₄	—	15	1	no	—
311	C₄⋊C₄	—	15	1	no	—
312	C₄⋊C₄	—	15	1	no	—
313	C₄⋊C₄	—	15	1	no	—
314	C₄⋊C₄	—	15	1	no	—
315	C₂²⋊C₄	—	3	1	no	—
316	C₂²⋊C₄	—	3	1	no	—
317	C₂²⋊C₄	—	5	1	no	—
318	C₂²⋊C₄	—	5	1	no	—
319	C₂²⋊C₄	—	15	1	no	—
320	C₂²⋊C₄	—	15	1	no	—
321	C₄²	—	3	1	no	—
322	C₄²	—	15	1	no	—
323	C₄²	—	15	1	no	—
324	C₃×C₅	#554	1	1	yes	characteristic, complemented, Hall
325	C₂²×C₃	—	2	1	no	—
326	C₂²×C₃	—	2	1	no	—
327	C₂²×C₃	C₂×Dic₁₀	1	2	yes	—
328	C₂²×C₃	C₂³×D₅	1	1	yes	characteristic
329	C₂×D₃	—	2	1	no	—
330	C₂×D₃	—	2	1	no	—
331	C₂×D₃	C₂×Dic₁₀	1	2	yes	—
332	C₃×C₄	—	2	1	no	—
333	C₃×C₄	—	2	1	no	—
334	C₃×C₄	—	10	1	no	—
335	C₃×C₄	—	10	1	no	—
336	C₃×C₄	—	10	1	no	—
337	C₃×C₄	—	10	1	no	—
338	Dic₃	—	2	1	no	—
339	Dic₃	—	2	1	no	—
340	Dic₃	—	5	2	no	—
341	Dic₃	—	10	1	no	—
342	Dic₃	—	10	1	no	—
343	Dic₃	—	10	1	no	—
344	Dic₃	C₂×Dic₁₀	1	2	yes	—
345	C₂×C₅	—	2	2	no	—
346	C₂×C₅	—	6	2	no	—
347	C₂×C₅	#1004	1	1	yes	characteristic
348	C₂×C₅	C₂×D₃×Q₈	1	1	yes	characteristic
349	C₂×C₅	D₃×#41	1	1	yes	characteristic
350	C₂³	—	3	1	no	—
351	C₂³	C₂×D₃×D₅	1	1	yes	characteristic
352	Q₈	—	20	1	no	—
353	Q₈	—	30	2	no	—
354	Q₈	—	60	1	no	—
355	D₄	—	3	4	no	—
356	C₂×C₄	—	3	1	no	—
357	C₂×C₄	—	3	1	no	—
358	C₂×C₄	—	3	1	no	—
359	C₂×C₄	—	4	1	no	—
360	C₂×C₄	—	5	1	no	—
361	C₂×C₄	—	5	1	no	—
362	C₂×C₄	—	5	1	no	—
363	C₂×C₄	—	5	1	no	—
364	C₂×C₄	—	12	1	no	—
365	C₂×C₄	—	15	1	no	—
366	C₂×C₄	—	15	1	no	—
367	C₂×C₄	—	15	1	no	—
368	C₂×C₄	—	15	1	no	—
369	C₂×C₄	—	30	2	no	—
370	C₂×C₄	—	30	2	no	—
371	C₂×C₄	—	60	1	no	—
372	C₂×C₄	—	60	1	no	—
373	C₂×C₄	C₂×D₃×D₅	1	1	yes	characteristic
374	C₂×C₄	C₂×D₃×D₅	1	1	yes	characteristic
375	C₂×C₃	—	2	2	no	—
376	C₂×C₃	C₂²×Dic₁₀	1	1	yes	characteristic
377	C₂×C₃	#4144	1	1	yes	characteristic
378	C₂×C₃	D₅×#41	1	1	yes	characteristic
379	D₃	—	2	2	no	—
380	C₅	#5636	1	1	yes	characteristic, complemented, Sylow
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	3	2	no	—
384	C₂²	—	6	1	no	—
385	C₂²	—	6	1	no	—
386	C₂²	D₃×Dic₁₀	1	2	yes	—
387	C₂²	C₂²×D₃×D₅	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	3	2	no	—
391	C₄	—	6	1	no	—
392	C₄	—	6	1	no	—
393	C₄	—	10	1	no	—
394	C₄	—	10	1	no	—
395	C₄	—	10	1	no	—
396	C₄	—	10	1	no	—
397	C₄	—	15	2	no	—
398	C₄	—	30	1	no	—
399	C₄	—	30	1	no	—
400	C₄	—	30	1	no	—
401	C₃	#65873	1	1	yes	characteristic, complemented, Sylow
402	C₂	—	2	2	no	—
403	C₂	—	6	2	no	—
404	C₂	C₂×D₃×Dic₁₀	1	1	yes	characteristic
405	C₂	#92016	1	1	yes	characteristic
406	C₂	#92049	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂²×D₃×D₅
commutator, socle, cosocle	C₂²×C₃×C₅	C₂⁴
Fitting	C₂²×C₃×C₄×C₅	C₂²
prime radical	C₂×C₅×#67	C₂²
hypercenter	C₂²×C₄	D₃×D₅
hypocenter	C₃×C₅	#554
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ C₂²×C₄

Complements

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

N	H ≅ G/N	type
1. C₂×#6712	C₂	semidirect
3. C₃×#4070	C₂	semidirect
4. #91576	C₂	semidirect
5. #91576	C₂	semidirect
8. #91436	C₂	semidirect
9. #91410	C₂	semidirect
10. D₃×#683	C₂	semidirect
11. #91379	C₂	semidirect
12. #91352	C₂	semidirect
13. #91346	C₂	semidirect
14. #91327	C₂	semidirect
15. #91324	C₂	semidirect
57. #4070	D₃	semidirect
79. C₅×#67	Q₈	semidirect
254. #67	Dic₁₀	semidirect
324. C₃×C₅	#554	semidirect
380. C₅	#5636	semidirect
401. C₃	#65873	semidirect

Maximal subgroups

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

subgroup	index
C₂×#6712	2
C₄×C₅×#67	2
C₃×#4070	2
#91576	2
#67⋊Dic₅	2
#91436	2
#91410	2
D₃×#683	2
#91379	2
#91352	2
#91346	2
#91327	2
#91324	2
#65873	3
#5636	5