Subgroups — D₃×#64730 #14314026

Order 1920.

448 conjugacy classes of subgroups.

The subgroup lattice has 436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₃×#4050	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×D₃×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	D₃×#3951	C₂	1	1	yes	maximal, characteristic, complemented
4	#11746331	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#64730	C₂	1	1	yes	maximal, characteristic, complemented
6	#11745907	C₂	1	1	yes	maximal, characteristic, complemented
7	#11745904	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#64730	—	3	1	no	maximal, Hall
9	D₃×#709	—	2	1	no	—
10	#91793	C₂²	1	1	yes	characteristic
11	C₂×C₅×D₃×C₈	C₂²	1	1	yes	characteristic
12	C₃×#4050	C₂²	1	1	yes	characteristic
13	#91311	—	2	1	no	—
14	D₃×#681	—	2	1	no	—
15	#91275	C₄	1	1	yes	characteristic
16	#91273	C₄	1	1	yes	characteristic
17	#91272	—	2	1	no	—
18	D₃×Dic₂₀	C₄	1	1	yes	characteristic
19	D₃×D₄₀	C₄	1	1	yes	characteristic
20	D₃×#677	—	2	1	no	—
21	C₂×C₃×C₅×C₁₆	C₂²	1	1	yes	characteristic, complemented
22	#91103	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₅×C₃⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
24	C₅×D₃×C₁₆	—	2	1	no	—
25	C₅×D₃×C₁₆	—	2	1	no	—
26	C₃×#3951	C₂²	1	1	yes	characteristic, complemented
27	#90993	—	2	1	no	—
28	D₃×#359	—	5	1	no	maximal, Hall
29	C₂×#4050	—	3	1	no	—
30	C₂²×C₅×C₁₆	—	3	1	no	—
31	C₂×#3951	—	3	1	no	—
32	#64730	—	3	1	no	—
33	#64730	—	3	1	no	—
34	#64730	—	3	1	no	—
35	#64730	D₃	1	1	yes	characteristic, direct product factor
36	#6817	—	2	1	no	—
37	C₂×C₄×C₅×D₃	D₄	1	1	yes	characteristic
38	C₃×#709	—	2	1	no	—
39	D₃×C₂²⋊D₅	—	4	1	no	—
40	#6779	—	4	1	no	—
41	D₃×D₂₀	—	2	1	no	—
42	C₄×D₃×D₅	—	4	1	no	—
43	#6771	—	4	1	no	—
44	#6769	—	2	1	no	—
45	D₃×Dic₁₀	—	2	1	no	—
46	#6765	—	2	1	no	—
47	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
48	#6710	—	2	1	no	—
49	Dic₆₀	C₂×C₄	1	1	yes	characteristic
50	D₁₂₀	C₂×C₄	1	1	yes	characteristic
51	#6706	—	2	1	no	—
52	C₂×C₅×C₃⋊C₈	D₄	1	1	yes	characteristic
53	C₅×D₃×C₈	C₂×C₄	1	1	yes	characteristic
54	C₅×D₃×C₈	C₂×C₄	1	1	yes	characteristic
55	C₅×D₃×C₈	D₄	1	1	yes	characteristic
56	C₅×D₃×C₈	D₄	1	1	yes	characteristic
57	C₃×#681	—	2	1	no	—
58	C₃×Dic₂₀	C₂×C₄	1	1	yes	characteristic
59	C₃×D₄₀	C₂×C₄	1	1	yes	characteristic
60	C₃×#677	—	2	1	no	—
61	#6662	—	2	1	no	—
62	#6658	—	2	1	no	—
63	#6657	—	2	1	no	—
64	#6653	—	2	1	no	—
65	#6650	—	4	1	no	—
66	D₃×#168	—	4	1	no	—
67	C₃×C₅×C₁₆	—	2	1	no	—
68	C₅×C₃⋊C₁₆	—	2	1	no	—
69	D₃×#135	—	5	1	no	—
70	C₂×D₃×C₁₆	D₅	1	1	yes	characteristic, complemented
71	D₃×#108	—	5	1	no	—
72	C₃×#359	—	5	1	no	—
73	#4567	—	5	1	no	—
74	#4510	—	5	1	no	—
75	#4497	—	5	1	no	—
76	C₂×#709	—	6	1	no	—
77	C₂²×C₅×C₈	—	3	1	no	—
78	C₂×#681	—	6	1	no	—
79	C₂×Dic₂₀	—	3	1	no	—
80	#4050	—	3	1	no	—
81	#4050	—	3	1	no	—
82	#4050	—	3	1	no	—
83	#4050	—	6	1	no	—
84	#4050	—	6	1	no	—
85	#4050	C₂×D₃	1	1	yes	characteristic
86	C₂×D₄₀	—	3	1	no	—
87	C₂×#677	—	6	1	no	—
88	C₂×C₅×C₁₆	—	3	1	no	—
89	C₂×C₅×C₁₆	—	6	1	no	—
90	C₂×C₅×C₁₆	—	6	1	no	—
91	C₂×C₅×C₁₆	C₂×D₃	1	1	yes	characteristic, complemented
92	#3951	—	3	1	no	—
93	#3951	—	6	1	no	—
94	#3951	C₂×D₃	1	1	yes	characteristic, complemented
95	C₂×#359	—	15	1	no	Sylow
96	C₂²×C₅×D₃	SD₁₆	1	1	yes	characteristic
97	C₂×D₃×D₅	—	4	1	no	—
98	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
99	#1220	—	4	1	no	—
100	D₆₀	—	2	1	no	—
101	C₄×D₁₅	—	4	1	no	—
102	Dic₃₀	—	2	1	no	—
103	C₂×C₅×Dic₃	SD₁₆	1	1	yes	characteristic
104	C₄×C₅×D₃	C₂²⋊C₄	1	1	yes	characteristic
105	C₄×C₅×D₃	C₂²⋊C₄	1	1	yes	characteristic
106	C₄×C₅×D₃	D₈	1	1	yes	characteristic
107	C₄×C₅×D₃	D₈	1	1	yes	characteristic
108	C₃×C₂²⋊D₅	—	4	1	no	—
109	C₃×D₂₀	—	2	1	no	—
110	C₃×C₄×D₅	—	4	1	no	—
111	C₃×Dic₁₀	—	2	1	no	—
112	#1204	—	4	1	no	—
113	#1203	—	4	1	no	—
114	#1202	—	4	1	no	—
115	#1201	—	4	1	no	—
116	#1200	—	4	1	no	—
117	D₃×Dic₅	—	4	1	no	—
118	D₅×Dic₃	—	4	1	no	—
119	C₃×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
120	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
121	C₃⋊#168	—	4	1	no	—
122	C₃×#168	—	4	1	no	—
123	C₅×C₃⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
124	C₅×C₃⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
125	D₃×#41	—	10	1	no	—
126	C₃×#135	—	5	1	no	—
127	#950	—	10	1	no	—
128	#919	—	5	1	no	—
129	D₃×Q₁₆	—	5	1	no	—
130	#916	—	10	1	no	—
131	D₃×SD₁₆	—	10	1	no	—
132	#912	—	5	1	no	—
133	D₃×D₈	—	5	1	no	—
134	D₃×M₁₆	—	10	1	no	—
135	#904	—	5	1	no	—
136	C₂×D₃×C₈	C₂×D₅	1	1	yes	characteristic
137	C₂×C₃×C₁₆	C₂×D₅	1	1	yes	characteristic, complemented
138	C₃×#108	—	5	1	no	—
139	#822	—	10	1	no	—
140	#819	—	5	1	no	—
141	C₂×C₃⋊C₁₆	C₂×D₅	1	1	yes	characteristic, complemented
142	D₃×C₁₆	—	2	1	no	—
143	D₃×C₁₆	—	2	1	no	—
144	C₂²×C₄×C₅	—	3	1	no	—
145	C₂×C₂²⋊D₅	—	12	1	no	—
146	#709	—	2	1	no	—
147	#709	—	6	1	no	—
148	#709	—	6	1	no	—
149	#709	—	6	1	no	—
150	#709	—	12	1	no	—
151	#709	—	12	1	no	—
152	C₂×D₂₀	—	6	1	no	—
153	C₂×C₄×D₅	—	12	1	no	—
154	C₂×Dic₁₀	—	6	1	no	—
155	C₂×C₅×C₈	—	3	1	no	—
156	C₂×C₅×C₈	—	3	1	no	—
157	C₂×C₅×C₈	—	3	1	no	—
158	C₂×C₅×C₈	—	3	1	no	—
159	C₂×C₅×C₈	—	3	1	no	—
160	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
161	#681	—	2	1	no	—
162	#681	—	6	1	no	—
163	#681	—	12	1	no	—
164	C₂×#168	—	12	1	no	—
165	Dic₂₀	—	3	1	no	—
166	Dic₂₀	—	6	1	no	—
167	Dic₂₀	C₄×D₃	1	1	yes	characteristic
168	D₄₀	—	3	1	no	—
169	D₄₀	—	6	1	no	—
170	D₄₀	C₄×D₃	1	1	yes	characteristic
171	#677	—	2	1	no	—
172	#677	—	6	1	no	—
173	#677	—	6	1	no	—
174	#677	—	6	1	no	—
175	C₅×C₁₆	—	2	1	no	—
176	C₅×C₁₆	—	6	1	no	—
177	C₂×#135	—	15	1	no	—
178	C₂²×C₁₆	—	3	1	no	—
179	C₂×#108	—	15	1	no	—
180	#359	—	5	1	no	—
181	#359	—	15	1	no	—
182	#359	—	15	1	no	—
183	#359	—	15	1	no	—
184	C₂²×C₃×C₅	C₂×SD₁₆	1	1	yes	characteristic
185	C₂×D₁₅	—	4	1	no	—
186	C₂×C₅×D₃	—	2	2	no	—
187	C₂×C₅×D₃	#102	1	1	yes	characteristic
188	C₂×C₅×D₃	#102	1	1	yes	characteristic
189	C₂×C₃×D₅	—	4	1	no	—
190	D₃×D₅	—	8	2	no	—
191	C₃×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
192	C₃×C₄×C₅	C₂×D₈	1	1	yes	characteristic
193	Dic₁₅	—	4	1	no	—
194	C₃×Dic₅	—	4	1	no	—
195	C₅×Dic₃	#102	1	1	yes	characteristic
196	C₅×Dic₃	#102	1	1	yes	characteristic
197	C₃×#41	—	10	1	no	—
198	#239	—	10	1	no	—
199	D₃×Q₈	—	10	1	no	—
200	#237	—	10	1	no	—
201	#237	—	20	1	no	—
202	D₃×D₄	—	10	1	no	—
203	D₃×D₄	—	20	1	no	—
204	#235	—	10	1	no	—
205	#235	—	20	1	no	—
206	C₂×C₄×D₃	—	20	1	no	—
207	C₂×C₄×D₃	D₂₀	1	1	yes	characteristic
208	C₃×Q₁₆	—	5	1	no	—
209	C₃×SD₁₆	—	10	1	no	—
210	C₃×D₈	—	5	1	no	—
211	C₃×M₁₆	—	10	1	no	—
212	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
213	#216	—	10	1	no	—
214	#215	—	10	1	no	—
215	#214	—	10	1	no	—
216	#213	—	10	1	no	—
217	#208	—	10	1	no	—
218	C₂×C₃⋊C₈	D₂₀	1	1	yes	characteristic
219	Dic₁₂	—	5	1	no	—
220	D₂₄	—	5	1	no	—
221	#204	—	10	1	no	—
222	ΓL(1,𝔽₂₅)	—	20	1	no	—
223	D₃×C₈	—	20	1	no	—
224	D₃×C₈	C₄×D₅	1	1	yes	characteristic
225	D₃×C₈	C₄×D₅	1	1	yes	characteristic
226	D₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
227	D₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
228	C₃×C₁₆	—	2	1	no	—
229	C₃⋊C₁₆	—	2	1	no	—
230	C₂³×C₅	—	3	1	no	—
231	C₂²×D₅	—	12	1	no	—
232	C₂×C₄×C₅	—	3	1	no	—
233	C₂×C₄×C₅	—	3	1	no	—
234	C₂×C₄×C₅	—	3	1	no	—
235	C₂×C₄×C₅	—	3	1	no	—
236	C₂×C₄×C₅	—	3	1	no	—
237	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
238	C₂²⋊D₅	—	4	1	no	—
239	C₂²⋊D₅	—	12	1	no	—
240	C₂²⋊D₅	—	12	1	no	—
241	C₂²⋊D₅	—	12	1	no	—
242	C₂×Dic₅	—	12	1	no	—
243	D₂₀	—	2	1	no	—
244	D₂₀	—	6	1	no	—
245	D₂₀	—	12	1	no	—
246	C₄×D₅	—	4	1	no	—
247	C₄×D₅	—	12	1	no	—
248	C₄×D₅	—	12	1	no	—
249	C₄×D₅	—	12	1	no	—
250	Dic₁₀	—	2	1	no	—
251	Dic₁₀	—	6	1	no	—
252	Dic₁₀	—	12	1	no	—
253	C₅×C₈	—	3	1	no	—
254	C₅×C₈	—	3	1	no	—
255	C₅×C₈	C₂×C₄×D₃	1	1	yes	characteristic
256	C₅×C₈	D₃×D₄	1	1	yes	characteristic
257	#168	—	4	1	no	—
258	#168	—	12	1	no	—
259	C₂×#41	—	30	1	no	—
260	#135	—	5	1	no	—
261	#135	—	15	1	no	—
262	#135	—	15	1	no	—
263	#135	—	15	1	no	—
264	#135	—	30	1	no	—
265	#135	—	30	1	no	—
266	C₂×Q₁₆	—	15	1	no	—
267	C₂×SD₁₆	—	30	1	no	—
268	C₂×D₈	—	15	1	no	—
269	C₂×M₁₆	—	30	1	no	—
270	C₂²×C₈	—	3	1	no	—
271	C₂×C₁₆	—	3	1	no	—
272	C₂×C₁₆	—	6	1	no	—
273	C₂×C₁₆	—	6	1	no	—
274	C₂×C₁₆	D₃×D₅	1	1	yes	characteristic, complemented
275	#108	—	5	1	no	—
276	#108	—	15	1	no	—
277	#108	—	30	1	no	—
278	C₂×C₃×C₅	—	2	1	no	—
279	C₂×C₃×C₅	C₂×#102	1	1	yes	characteristic
280	D₁₅	—	8	1	no	—
281	C₃×D₅	—	8	1	no	—
282	C₅×D₃	—	2	1	no	—
283	C₅×D₃	#359	1	2	yes	complemented
284	C₂²×D₃	—	20	1	no	—
285	C₂²×D₃	#677	1	1	yes	characteristic
286	C₃×Q₈	—	10	1	no	—
287	C₃×D₄	—	10	1	no	—
288	C₃×D₄	—	20	1	no	—
289	C₂×C₃×C₄	—	20	1	no	—
290	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
291	#67	—	20	1	no	—
292	#67	—	20	1	no	—
293	#67	—	20	1	no	—
294	C₂×Dic₃	—	20	1	no	—
295	C₂×Dic₃	#677	1	1	yes	characteristic
296	D₁₂	—	10	1	no	—
297	D₁₂	—	20	1	no	—
298	C₄×D₃	—	20	1	no	—
299	C₄×D₃	—	20	1	no	—
300	C₄×D₃	—	20	1	no	—
301	C₄×D₃	D₄₀	1	1	yes	characteristic
302	C₄×D₃	D₄₀	1	1	yes	characteristic
303	C₄×D₃	#685	1	1	yes	characteristic
304	C₄×D₃	#685	1	1	yes	characteristic
305	Dic₆	—	10	1	no	—
306	Dic₆	—	20	1	no	—
307	C₃×C₈	—	20	1	no	—
308	C₃×C₈	C₂×C₄×D₅	1	1	yes	characteristic
309	C₃×C₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
310	C₃⋊C₈	—	20	1	no	—
311	C₃⋊C₈	#685	1	1	yes	characteristic
312	C₃⋊C₈	#685	1	1	yes	characteristic
313	C₂²×C₅	—	3	1	no	—
314	C₂²×C₅	—	3	1	no	—
315	C₂²×C₅	—	6	2	no	—
316	C₂²×C₅	D₃×SD₁₆	1	1	yes	characteristic
317	C₂×D₅	—	4	1	no	—
318	C₂×D₅	—	12	1	no	—
319	C₂×D₅	—	24	2	no	—
320	C₄×C₅	—	3	1	no	—
321	C₄×C₅	—	3	1	no	—
322	C₄×C₅	D₃×C₂²⋊C₄	1	1	yes	characteristic
323	C₄×C₅	D₃×D₈	1	1	yes	characteristic
324	Dic₅	—	4	1	no	—
325	Dic₅	—	12	1	no	—
326	#41	—	10	1	no	—
327	#41	—	30	1	no	—
328	#41	—	30	1	no	—
329	#41	—	30	1	no	—
330	#41	—	60	1	no	—
331	#41	—	60	1	no	—
332	C₂×Q₈	—	30	1	no	—
333	C₂×D₄	—	30	1	no	—
334	C₂×D₄	—	60	1	no	—
335	C₂²×C₄	—	3	1	no	—
336	C₂²×C₄	—	60	1	no	—
337	Q₁₆	—	5	1	no	—
338	Q₁₆	—	15	1	no	—
339	Q₁₆	—	30	1	no	—
340	SD₁₆	—	10	1	no	—
341	SD₁₆	—	30	1	no	—
342	SD₁₆	—	30	1	no	—
343	SD₁₆	—	30	1	no	—
344	D₈	—	5	1	no	—
345	D₈	—	15	1	no	—
346	D₈	—	30	1	no	—
347	M₁₆	—	10	1	no	—
348	M₁₆	—	30	1	no	—
349	M₁₆	—	60	1	no	—
350	C₂×C₈	—	3	1	no	—
351	C₂×C₈	—	3	1	no	—
352	C₂×C₈	—	3	1	no	—
353	C₂×C₈	—	3	1	no	—
354	C₂×C₈	—	3	1	no	—
355	C₂×C₈	—	60	1	no	—
356	C₂×C₈	C₂×D₃×D₅	1	1	yes	characteristic
357	C₁₆	—	2	1	no	—
358	C₁₆	—	6	1	no	—
359	C₃×C₅	C₂×#359	1	1	yes	characteristic, complemented, Hall
360	C₂²×C₃	—	20	1	no	—
361	C₂²×C₃	C₂×#677	1	1	yes	characteristic
362	C₂×D₃	—	2	2	no	—
363	C₂×D₃	—	20	1	no	—
364	C₂×D₃	—	40	2	no	—
365	C₂×D₃	#3953	1	1	yes	characteristic
366	C₂×D₃	#3953	1	1	yes	characteristic
367	C₃×C₄	—	20	1	no	—
368	C₃×C₄	C₂×D₄₀	1	1	yes	characteristic
369	C₃×C₄	C₂×#685	1	1	yes	characteristic
370	Dic₃	—	20	1	no	—
371	Dic₃	#3953	1	1	yes	characteristic
372	Dic₃	#3953	1	1	yes	characteristic
373	C₂×C₅	—	2	1	no	—
374	C₂×C₅	—	3	2	no	—
375	C₂×C₅	—	6	1	no	—
376	C₂×C₅	D₃×#102	1	1	yes	characteristic
377	D₅	—	8	1	no	—
378	D₅	—	24	1	no	—
379	C₂³	—	3	1	no	—
380	C₂³	—	60	1	no	—
381	Q₈	—	10	1	no	—
382	Q₈	—	30	1	no	—
383	Q₈	—	60	1	no	—
384	D₄	—	10	1	no	—
385	D₄	—	20	1	no	—
386	D₄	—	30	1	no	—
387	D₄	—	60	1	no	—
388	D₄	—	60	1	no	—
389	D₄	—	60	1	no	—
390	D₄	—	60	1	no	—
391	C₂×C₄	—	3	1	no	—
392	C₂×C₄	—	3	1	no	—
393	C₂×C₄	—	3	1	no	—
394	C₂×C₄	—	3	1	no	—
395	C₂×C₄	—	3	1	no	—
396	C₂×C₄	—	20	1	no	—
397	C₂×C₄	—	60	1	no	—
398	C₂×C₄	—	60	1	no	—
399	C₂×C₄	—	60	1	no	—
400	C₂×C₄	—	60	1	no	—
401	C₂×C₄	D₃×D₂₀	1	1	yes	characteristic
402	C₈	—	3	1	no	—
403	C₈	—	3	1	no	—
404	C₈	—	20	1	no	—
405	C₈	—	60	1	no	—
406	C₈	C₄×D₃×D₅	1	1	yes	characteristic
407	C₈	D₃×C₂²⋊D₅	1	1	yes	characteristic
408	C₂×C₃	—	2	1	no	—
409	C₂×C₃	—	40	1	no	—
410	C₂×C₃	C₂×#3953	1	1	yes	characteristic
411	D₃	—	2	1	no	—
412	D₃	—	40	1	no	—
413	D₃	#64730	1	2	yes	direct product factor
414	C₅	D₃×#359	1	1	yes	characteristic, complemented, Sylow
415	C₂²	—	3	1	no	—
416	C₂²	—	3	1	no	—
417	C₂²	—	6	2	no	—
418	C₂²	—	20	1	no	—
419	C₂²	—	60	1	no	—
420	C₂²	—	120	2	no	—
421	C₂²	D₃×#677	1	1	yes	characteristic
422	C₄	—	3	1	no	—
423	C₄	—	3	1	no	—
424	C₄	—	20	1	no	—
425	C₄	—	60	1	no	—
426	C₄	D₃×D₄₀	1	1	yes	characteristic
427	C₄	D₃×#685	1	1	yes	characteristic
428	C₃	C₂×#64730	1	1	yes	characteristic, complemented, Sylow
429	C₂	—	2	1	no	—
430	C₂	—	3	2	no	—
431	C₂	—	6	1	no	—
432	C₂	—	40	1	no	—
433	C₂	—	120	1	no	—
434	C₂	D₃×#3953	1	1	yes	characteristic

	subgroup	G/H
center	C₄	D₃×D₄₀
commutator	C₃×C₅×C₈	C₂²×C₄
Frattini	C₂×C₈	C₂×D₃×D₅
Fitting	C₂×C₃×C₅×C₁₆	C₂²
socle	C₂×C₃×C₅	C₂×#102
prime radical	D₃×#4050	C₂
cosocle	C₂×C₃×C₅×C₈	C₂³
hypercenter	C₂×C₁₆	D₃×D₅
hypocenter	C₃×C₅	C₂×#359
LCS	G ▷ C₃×C₅×C₈ ▷ C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₄ ◁ C₂×C₄ ◁ C₂×C₈ ◁ C₂×C₁₆

Complements

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

N	H ≅ G/N	type
2. C₂×C₅×D₃×C₁₆	C₂	semidirect
3. D₃×#3951	C₂	semidirect
4. #11746331	C₂	semidirect
5. C₃×#64730	C₂	semidirect
6. #11745907	C₂	semidirect
7. #11745904	C₂	semidirect
21. C₂×C₃×C₅×C₁₆	C₂²	semidirect
22. #91103	C₂²	semidirect
23. C₂×C₅×C₃⋊C₁₆	C₂²	semidirect
26. C₃×#3951	C₂²	semidirect
35. #64730	D₃	direct (N × H)
70. C₂×D₃×C₁₆	D₅	semidirect
91. C₂×C₅×C₁₆	C₂×D₃	semidirect
94. #3951	C₂×D₃	semidirect
137. C₂×C₃×C₁₆	C₂×D₅	semidirect
141. C₂×C₃⋊C₁₆	C₂×D₅	semidirect
274. C₂×C₁₆	D₃×D₅	semidirect
283. C₅×D₃	#359	semidirect
359. C₃×C₅	C₂×#359	semidirect
413. D₃	#64730	direct (N × H)
414. C₅	D₃×#359	semidirect
428. C₃	C₂×#64730	semidirect

Maximal subgroups

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

subgroup	index
D₃×#4050	2
C₂×C₅×D₃×C₁₆	2
D₃×#3951	2
#11746331	2
C₃×#64730	2
#11745907	2
#11745904	2
C₂×#64730	3
D₃×#359	5

Subgroups — D3×#64730 #14314026

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₃×#64730 #14314026