Subgroups — #14439745

Order 1920.

848 conjugacy classes of subgroups.

The subgroup lattice has 420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11753425	C₂	1	2	yes	maximal
2	D₁₅×#106	C₂	1	1	yes	maximal, characteristic
3	C₅×#4855	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#65144	C₂	1	1	yes	maximal, characteristic, complemented
5	#11748027	C₂	1	1	yes	maximal, characteristic, complemented
6	#11748016	C₂	1	1	yes	maximal, characteristic, complemented
7	#11747632	C₂	1	1	yes	maximal, characteristic
8	C₈×#1200	C₂	1	1	yes	maximal, characteristic
9	#11747441	C₂	1	2	yes	maximal
10	#11747147	C₂	1	2	yes	maximal, complemented
11	#11747141	C₂	1	2	yes	maximal, complemented
12	D₅×#498	—	3	1	no	maximal, Hall
13	C₂×D₁₅⋊Q₈	—	2	2	no	—
14	C₂×C₈×D₁₅	C₂²	1	1	yes	characteristic
15	C₄⋊C₄×D₁₅	C₂²	1	2	yes	—
16	C₅×#888	C₂²	1	2	yes	—
17	C₃×#4034	C₂²	1	2	yes	—
18	#91469	C₂²	1	2	yes	—
19	#91468	C₂²	1	2	yes	—
20	#91437	C₂²	1	2	yes	—
21	#91404	—	2	2	no	—
22	C₄×#1200	C₂²	1	1	yes	characteristic
23	#91329	—	2	2	no	—
24	#91327	—	2	2	no	—
25	C₂×#6648	C₂²	1	1	yes	characteristic
26	C₃×C₅×#106	C₂²	1	1	yes	characteristic
27	#91101	C₂²	1	1	yes	characteristic
28	#91092	C₂²	1	2	yes	—
29	C₅×#817	C₂²	1	1	yes	characteristic
30	C₅×C₈×Dic₃	C₂²	1	1	yes	characteristic
31	C₅×#808	C₂²	1	2	yes	—
32	C₃×#3949	C₂²	1	1	yes	characteristic
33	C₃×C₈×Dic₅	C₂²	1	1	yes	characteristic
34	C₃×#3940	C₂²	1	2	yes	—
35	#90987	C₂²	1	2	yes	—
36	#90986	C₂²	1	2	yes	—
37	#90985	C₂²	1	2	yes	—
38	Dic₃×#168	C₂²	1	1	yes	characteristic
39	Dic₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
40	D₃×#498	—	5	1	no	maximal, Hall
41	D₅×C₄⋊Q₈	—	3	2	no	—
42	C₅×#498	—	3	1	no	—
43	#65368	—	3	2	no	—
44	D₅×#106	—	3	1	no	—
45	D₅×#106	—	3	1	no	—
46	D₅×#106	—	3	2	no	—
47	#65144	—	3	2	no	—
48	#65144	—	3	1	no	—
49	#65144	D₃	1	1	yes	characteristic, complemented
50	C₄×C₈×D₅	—	3	1	no	—
51	#64969	—	3	1	no	—
52	C₂×C₄×D₁₅	—	2	2	no	—
53	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
54	C₂×C₅×Dic₆	—	2	2	no	—
55	C₂×C₃×Dic₁₀	—	2	2	no	—
56	C₂×#1204	—	2	2	no	—
57	C₂×#1204	—	2	2	no	—
58	C₂×#1200	—	2	2	no	—
59	C₂×#1200	D₄	1	2	yes	—
60	D₁₅⋊Q₈	—	4	8	no	—
61	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
62	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
63	C₄⋊Dic₁₅	C₂³	1	2	yes	—
64	#6712	—	2	2	no	—
65	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
66	C₈×D₁₅	Q₈	1	4	yes	complemented
67	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
68	C₅×Dic₃⋊C₄	—	2	2	no	—
69	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
70	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
71	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
72	C₃×#683	—	2	2	no	—
73	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
74	C₂×C₃×#168	C₂³	1	1	yes	characteristic
75	Dic₃⋊Dic₅	—	2	2	no	—
76	#6669	—	2	2	no	—
77	#6668	—	2	2	no	—
78	Dic₃×Dic₅	D₄	1	2	yes	—
79	#6648	Q₈	1	4	yes	complemented
80	D₃×C₄⋊Q₈	—	5	2	no	—
81	C₃×#498	—	5	1	no	—
82	#5080	—	5	2	no	—
83	D₃×#106	—	5	1	no	—
84	D₃×#106	—	5	1	no	—
85	D₃×#106	—	5	2	no	—
86	#4855	—	5	2	no	—
87	#4855	—	5	1	no	—
88	#4855	D₅	1	1	yes	characteristic, complemented
89	C₄×D₃×C₈	—	5	1	no	—
90	#4680	—	5	1	no	—
91	C₂×Q₈×D₅	—	6	2	no	—
92	C₅×C₄⋊Q₈	—	3	2	no	—
93	#4090	—	6	2	no	—
94	C₂×C₈×D₅	—	3	1	no	—
95	C₂×C₈×D₅	—	3	1	no	—
96	D₅×C₄⋊C₄	—	3	2	no	—
97	D₅×C₄⋊C₄	—	3	2	no	—
98	D₅×C₄⋊C₄	—	6	2	no	—
99	#4034	—	3	2	no	—
100	#4034	—	6	2	no	—
101	#4034	C₂×D₃	1	2	yes	—
102	C₄²×D₅	—	3	1	no	—
103	#4015	—	3	2	no	—
104	C₅×#106	—	3	1	no	—
105	C₅×#106	—	3	2	no	—
106	C₅×#106	C₂×D₃	1	1	yes	characteristic
107	C₄×C₅×C₈	—	3	1	no	—
108	#3949	—	3	1	no	—
109	#3949	—	3	2	no	—
110	#3949	C₂×D₃	1	1	yes	characteristic
111	C₈×Dic₅	—	3	1	no	—
112	C₈×Dic₅	C₂×D₃	1	1	yes	characteristic
113	#3940	—	3	2	no	—
114	#3940	—	3	2	no	—
115	#3940	—	3	2	no	—
116	#3940	C₂×D₃	1	2	yes	—
117	C₄×#168	—	3	1	no	—
118	C₂×#498	—	15	1	no	Sylow
119	C₂²×D₁₅	C₂×D₄	1	1	yes	characteristic
120	C₂×C₃×C₄×C₅	—	2	2	no	—
121	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
122	C₂×Dic₁₅	—	2	2	no	—
123	C₂×Dic₁₅	C₂×D₄	1	1	yes	characteristic
124	C₄×D₁₅	—	4	4	no	—
125	C₄×D₁₅	C₂×Q₈	1	2	yes	—
126	C₄×D₁₅	C₂×Q₈	1	2	yes	—
127	C₂×C₅×Dic₃	—	2	2	no	—
128	C₂×C₅×Dic₃	C₂×D₄	1	2	yes	—
129	C₅×Dic₆	—	4	4	no	—
130	C₂×C₃×Dic₅	—	2	2	no	—
131	C₂×C₃×Dic₅	C₂×D₄	1	2	yes	—
132	C₃×Dic₁₀	—	4	4	no	—
133	#1204	—	4	4	no	—
134	#1204	—	4	4	no	—
135	#1200	—	4	4	no	—
136	#1200	SD₁₆	1	8	yes	—
137	C₃×C₅×C₈	C₂×Q₈	1	2	yes	complemented
138	C₃⋊#168	C₂×Q₈	1	2	yes	complemented
139	C₃×#168	C₂×Q₈	1	2	yes	complemented
140	C₅×C₃⋊C₈	C₂×Q₈	1	2	yes	complemented
141	C₂×D₃×Q₈	—	10	2	no	—
142	C₃×C₄⋊Q₈	—	5	2	no	—
143	#944	—	10	2	no	—
144	C₂×D₃×C₈	—	5	1	no	—
145	C₂×D₃×C₈	—	5	1	no	—
146	D₃×C₄⋊C₄	—	5	2	no	—
147	D₃×C₄⋊C₄	—	5	2	no	—
148	D₃×C₄⋊C₄	—	10	2	no	—
149	#888	—	5	2	no	—
150	#888	—	10	2	no	—
151	#888	C₂×D₅	1	2	yes	—
152	C₄²×D₃	—	5	1	no	—
153	#869	—	5	2	no	—
154	C₃×#106	—	5	1	no	—
155	C₃×#106	—	5	2	no	—
156	C₃×#106	C₂×D₅	1	1	yes	characteristic
157	C₃×C₄×C₈	—	5	1	no	—
158	#817	—	5	1	no	—
159	#817	—	5	2	no	—
160	#817	C₂×D₅	1	1	yes	characteristic
161	C₈×Dic₃	—	5	1	no	—
162	C₈×Dic₃	C₂×D₅	1	1	yes	characteristic
163	#808	—	5	2	no	—
164	#808	—	5	2	no	—
165	#808	—	5	2	no	—
166	#808	C₂×D₅	1	2	yes	—
167	C₄×C₃⋊C₈	—	5	1	no	—
168	C₂×C₅×Q₈	—	6	2	no	—
169	Q₈×D₅	—	12	8	no	—
170	C₂×C₄×D₅	—	3	1	no	—
171	C₂×C₄×D₅	—	3	2	no	—
172	C₂×C₄×D₅	—	6	2	no	—
173	C₂×C₄×D₅	—	6	2	no	—
174	C₂×Dic₁₀	—	2	2	no	—
175	C₂×Dic₁₀	—	6	2	no	—
176	C₂×Dic₁₀	—	6	2	no	—
177	C₂×C₅×C₈	—	3	1	no	—
178	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
179	C₅×C₄⋊C₄	—	3	2	no	—
180	C₅×C₄⋊C₄	—	6	2	no	—
181	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
182	C₄²×C₅	—	3	1	no	—
183	C₄⋊Dic₅	—	3	2	no	—
184	C₄⋊Dic₅	—	6	2	no	—
185	C₄⋊Dic₅	C₂²×D₃	1	2	yes	—
186	#683	—	2	2	no	—
187	#683	—	6	2	no	—
188	#683	—	6	2	no	—
189	#683	—	6	2	no	—
190	C₄×Dic₅	—	3	2	no	—
191	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
192	C₂×#168	—	3	1	no	—
193	C₂×#168	C₂²×D₃	1	1	yes	characteristic
194	C₈×D₅	—	3	4	no	—
195	C₈×D₅	—	3	4	no	—
196	C₂×C₄⋊Q₈	—	15	2	no	—
197	#498	—	3	1	no	—
198	#498	—	5	1	no	—
199	#498	—	15	1	no	—
200	#498	—	15	1	no	—
201	#498	—	15	2	no	—
202	#498	—	15	2	no	—
203	C₂×#106	—	15	1	no	—
204	C₂×#106	—	15	2	no	—
205	C₂×#106	—	15	1	no	—
206	C₂×C₄×C₈	—	15	1	no	—
207	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
208	C₂×D₁₅	C₄⋊Q₈	1	2	yes	—
209	C₂×D₁₅	C₂×SD₁₆	1	4	yes	—
210	C₃×C₄×C₅	—	4	2	no	—
211	C₃×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
212	C₃×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
213	Dic₁₅	—	4	2	no	—
214	Dic₁₅	C₄⋊Q₈	1	2	yes	—
215	C₃×Dic₅	—	4	2	no	—
216	C₃×Dic₅	C₂×SD₁₆	1	4	yes	—
217	C₅×Dic₃	—	4	2	no	—
218	C₅×Dic₃	C₂×SD₁₆	1	4	yes	—
219	C₂×C₃×Q₈	—	10	2	no	—
220	D₃×Q₈	—	20	8	no	—
221	C₂×C₄×D₃	—	5	1	no	—
222	C₂×C₄×D₃	—	5	2	no	—
223	C₂×C₄×D₃	—	10	2	no	—
224	C₂×C₄×D₃	—	10	2	no	—
225	C₂×Dic₆	—	2	2	no	—
226	C₂×Dic₆	—	10	2	no	—
227	C₂×Dic₆	—	10	2	no	—
228	C₂×C₃×C₈	—	5	1	no	—
229	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
230	C₃×C₄⋊C₄	—	5	2	no	—
231	C₃×C₄⋊C₄	—	10	2	no	—
232	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
233	C₃×C₄²	—	5	1	no	—
234	C₄⋊Dic₃	—	5	2	no	—
235	C₄⋊Dic₃	—	10	2	no	—
236	C₄⋊Dic₃	C₂²×D₅	1	2	yes	—
237	Dic₃⋊C₄	—	2	2	no	—
238	Dic₃⋊C₄	—	10	2	no	—
239	Dic₃⋊C₄	—	10	2	no	—
240	Dic₃⋊C₄	—	10	2	no	—
241	C₄×Dic₃	—	5	2	no	—
242	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
243	C₂×C₃⋊C₈	—	5	1	no	—
244	C₂×C₃⋊C₈	C₂²×D₅	1	1	yes	characteristic
245	D₃×C₈	—	5	4	no	—
246	D₃×C₈	—	5	4	no	—
247	C₂²×D₅	—	3	1	no	—
248	C₅×Q₈	—	12	4	no	—
249	C₂×C₄×C₅	—	2	2	no	—
250	C₂×C₄×C₅	—	3	2	no	—
251	C₂×C₄×C₅	—	6	2	no	—
252	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
253	C₂×Dic₅	—	2	2	no	—
254	C₂×Dic₅	—	3	1	no	—
255	C₂×Dic₅	—	6	2	no	—
256	C₂×Dic₅	D₃×D₄	1	2	yes	—
257	C₄×D₅	—	3	2	no	—
258	C₄×D₅	—	3	2	no	—
259	C₄×D₅	—	3	8	no	—
260	C₄×D₅	—	12	4	no	—
261	C₄×D₅	—	12	4	no	—
262	Dic₁₀	—	4	4	no	—
263	Dic₁₀	—	12	4	no	—
264	Dic₁₀	—	12	4	no	—
265	C₅×C₈	—	3	2	no	—
266	C₅×C₈	D₃×Q₈	1	2	yes	complemented
267	#168	—	3	2	no	—
268	#168	D₃×Q₈	1	2	yes	complemented
269	C₂²×Q₈	—	30	2	no	—
270	C₂²×C₈	—	15	1	no	—
271	C₂²×C₈	—	15	1	no	—
272	C₄⋊Q₈	—	3	2	no	—
273	C₄⋊Q₈	—	5	2	no	—
274	C₄⋊Q₈	—	15	2	no	—
275	C₄⋊Q₈	—	15	2	no	—
276	C₄⋊Q₈	—	30	2	no	—
277	C₄⋊Q₈	—	30	2	no	—
278	C₂×C₄⋊C₄	—	15	2	no	—
279	C₂×C₄⋊C₄	—	15	2	no	—
280	C₂×C₄⋊C₄	—	30	2	no	—
281	C₂×C₄²	—	15	1	no	—
282	#106	—	3	1	no	—
283	#106	—	3	2	no	—
284	#106	—	5	1	no	—
285	#106	—	5	2	no	—
286	#106	—	15	2	no	—
287	#106	—	15	2	no	—
288	#106	—	15	2	no	—
289	#106	—	15	1	no	—
290	#106	—	15	2	no	—
291	#106	D₃×D₅	1	1	yes	characteristic
292	C₄×C₈	—	3	1	no	—
293	C₄×C₈	—	5	1	no	—
294	C₄×C₈	—	15	1	no	—
295	C₄×C₈	—	15	1	no	—
296	C₂×C₃×C₅	C₂×C₄⋊Q₈	1	1	yes	characteristic
297	C₂×C₃×C₅	C₂²×SD₁₆	1	2	yes	—
298	D₁₅	#498	1	4	yes	complemented
299	C₂²×D₃	—	5	1	no	—
300	C₃×Q₈	—	20	4	no	—
301	C₂×C₃×C₄	—	2	2	no	—
302	C₂×C₃×C₄	—	5	2	no	—
303	C₂×C₃×C₄	—	10	2	no	—
304	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
305	C₂×Dic₃	—	2	2	no	—
306	C₂×Dic₃	—	5	1	no	—
307	C₂×Dic₃	—	10	2	no	—
308	C₂×Dic₃	D₄×D₅	1	2	yes	—
309	C₄×D₃	—	5	2	no	—
310	C₄×D₃	—	5	2	no	—
311	C₄×D₃	—	5	8	no	—
312	C₄×D₃	—	20	4	no	—
313	C₄×D₃	—	20	4	no	—
314	Dic₆	—	4	4	no	—
315	Dic₆	—	20	4	no	—
316	Dic₆	—	20	4	no	—
317	C₃×C₈	—	5	2	no	—
318	C₃×C₈	Q₈×D₅	1	2	yes	complemented
319	C₃⋊C₈	—	5	2	no	—
320	C₃⋊C₈	Q₈×D₅	1	2	yes	complemented
321	C₂²×C₅	C₂×D₃×D₄	1	1	yes	characteristic
322	C₂×D₅	—	3	2	no	—
323	C₂×D₅	—	3	4	no	—
324	C₄×C₅	—	3	4	no	—
325	C₄×C₅	—	4	2	no	—
326	C₄×C₅	—	12	2	no	—
327	C₄×C₅	C₂×D₃×Q₈	1	1	yes	characteristic
328	C₄×C₅	C₂×D₃×Q₈	1	1	yes	characteristic
329	Dic₅	—	3	2	no	—
330	Dic₅	—	4	2	no	—
331	Dic₅	—	12	2	no	—
332	Dic₅	D₃×SD₁₆	1	4	yes	—
333	C₂×Q₈	—	6	2	no	—
334	C₂×Q₈	—	10	2	no	—
335	C₂×Q₈	—	30	2	no	—
336	C₂×Q₈	—	30	2	no	—
337	C₂×Q₈	—	60	8	no	—
338	C₂²×C₄	—	15	2	no	—
339	C₂²×C₄	—	15	1	no	—
340	C₂²×C₄	—	30	2	no	—
341	C₂²×C₄	—	30	2	no	—
342	C₂×C₈	—	3	1	no	—
343	C₂×C₈	—	5	1	no	—
344	C₂×C₈	—	15	4	no	—
345	C₂×C₈	—	15	1	no	—
346	C₂×C₈	—	15	4	no	—
347	C₂×C₈	C₂×D₃×D₅	1	1	yes	characteristic
348	C₄⋊C₄	—	3	2	no	—
349	C₄⋊C₄	—	5	2	no	—
350	C₄⋊C₄	—	6	2	no	—
351	C₄⋊C₄	—	10	2	no	—
352	C₄⋊C₄	—	15	2	no	—
353	C₄⋊C₄	—	30	2	no	—
354	C₄⋊C₄	—	30	2	no	—
355	C₄⋊C₄	—	30	2	no	—
356	C₄⋊C₄	—	30	2	no	—
357	C₄⋊C₄	C₂×D₃×D₅	1	2	yes	—
358	C₄²	—	3	1	no	—
359	C₄²	—	5	1	no	—
360	C₄²	—	15	2	no	—
361	C₃×C₅	C₂×#498	1	1	yes	characteristic, complemented, Hall
362	C₂²×C₃	C₂×D₄×D₅	1	1	yes	characteristic
363	C₂×D₃	—	5	2	no	—
364	C₂×D₃	—	5	4	no	—
365	C₃×C₄	—	4	2	no	—
366	C₃×C₄	—	5	4	no	—
367	C₃×C₄	—	20	2	no	—
368	C₃×C₄	C₂×Q₈×D₅	1	1	yes	characteristic
369	C₃×C₄	C₂×Q₈×D₅	1	1	yes	characteristic
370	Dic₃	—	4	2	no	—
371	Dic₃	—	5	2	no	—
372	Dic₃	—	20	2	no	—
373	Dic₃	D₅×SD₁₆	1	4	yes	—
374	C₂×C₅	D₃×C₄⋊Q₈	1	1	yes	characteristic
375	C₂×C₅	C₂×D₃×SD₁₆	1	2	yes	—
376	D₅	—	3	4	no	—
377	C₂³	—	15	1	no	—
378	Q₈	—	12	4	no	—
379	Q₈	—	20	4	no	—
380	Q₈	—	60	4	no	—
381	Q₈	—	60	4	no	—
382	C₂×C₄	—	2	2	no	—
383	C₂×C₄	—	3	2	no	—
384	C₂×C₄	—	5	2	no	—
385	C₂×C₄	—	6	2	no	—
386	C₂×C₄	—	10	2	no	—
387	C₂×C₄	—	15	8	no	—
388	C₂×C₄	—	15	1	no	—
389	C₂×C₄	—	15	2	no	—
390	C₂×C₄	—	15	2	no	—
391	C₂×C₄	—	30	2	no	—
392	C₂×C₄	—	60	4	no	—
393	C₂×C₄	—	60	4	no	—
394	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
395	C₈	—	3	2	no	—
396	C₈	—	5	2	no	—
397	C₈	—	15	2	no	—
398	C₈	D₁₅⋊Q₈	1	2	yes	complemented
399	C₂×C₃	D₅×C₄⋊Q₈	1	1	yes	characteristic
400	C₂×C₃	C₂×D₅×SD₁₆	1	2	yes	—
401	D₃	—	5	4	no	—
402	C₅	D₃×#498	1	1	yes	characteristic, complemented, Sylow
403	C₂²	—	15	4	no	—
404	C₂²	—	15	2	no	—
405	C₂²	D₃×D₄×D₅	1	1	yes	characteristic
406	C₄	—	3	4	no	—
407	C₄	—	4	2	no	—
408	C₄	—	5	4	no	—
409	C₄	—	12	2	no	—
410	C₄	—	15	2	no	—
411	C₄	—	20	2	no	—
412	C₄	—	60	2	no	—
413	C₄	C₂×D₁₅⋊Q₈	1	1	yes	characteristic
414	C₄	D₃×Q₈×D₅	1	1	yes	characteristic
415	C₃	D₅×#498	1	1	yes	characteristic, complemented, Sylow
416	C₂	—	15	4	no	—
417	C₂	#11753425	1	1	yes	characteristic
418	C₂	D₃×D₅×SD₁₆	1	2	yes	—

	subgroup	G/H
center	C₂²	D₃×D₄×D₅
commutator, cosocle	C₂×C₃×C₄×C₅	C₂⁴
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₃×C₅×#106	C₂²
socle	C₂²×C₃×C₅	C₂²×D₄
prime radical	C₂²×D₁₅	C₂×D₄
hypercenter	#106	D₃×D₅
hypocenter	C₃×C₅	C₂×#498
LCS	G ▷ C₂×C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄ ◁ #106

Complements

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

N	H ≅ G/N	type
3. C₅×#4855	C₂	semidirect
4. C₃×#65144	C₂	semidirect
5. #11748027	C₂	semidirect
6. #11748016	C₂	semidirect
10. #11747147	C₂	semidirect
11. #11747141	C₂	semidirect
49. #65144	D₃	semidirect
66. C₈×D₁₅	Q₈	semidirect
79. #6648	Q₈	semidirect
88. #4855	D₅	semidirect
137. C₃×C₅×C₈	C₂×Q₈	semidirect
138. C₃⋊#168	C₂×Q₈	semidirect
139. C₃×#168	C₂×Q₈	semidirect
140. C₅×C₃⋊C₈	C₂×Q₈	semidirect
266. C₅×C₈	D₃×Q₈	semidirect
268. #168	D₃×Q₈	semidirect
298. D₁₅	#498	semidirect
318. C₃×C₈	Q₈×D₅	semidirect
320. C₃⋊C₈	Q₈×D₅	semidirect
361. C₃×C₅	C₂×#498	semidirect
398. C₈	D₁₅⋊Q₈	semidirect
402. C₅	D₃×#498	semidirect
415. C₃	D₅×#498	semidirect

Maximal subgroups

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

subgroup	index
#11753425	2
D₁₅×#106	2
C₅×#4855	2
C₃×#65144	2
#11748027	2
#11748016	2
#11747632	2
C₈×#1200	2
#11747441	2
#11747147	2
#11747141	2
D₅×#498	3
D₃×#498	5