Subgroups — #14295501

Order 1920.

568 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#91796	C₂	1	1	yes	maximal, characteristic
2	#11751233	C₂	1	1	yes	maximal, characteristic
3	#11751223	C₂	1	1	yes	maximal, characteristic, complemented
4	#11751107	C₂	1	1	yes	maximal, characteristic
5	#11751098	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₅×#344	C₂	1	1	yes	maximal, characteristic, complemented
7	#11746377	C₂	1	1	yes	maximal, characteristic, complemented
8	#10599807	—	3	1	no	maximal, Hall
9	C₂×#6817	C₂²	1	1	yes	characteristic
10	C₂×C₃×C₅×M₁₆	C₂²	1	1	yes	characteristic
11	C₂×C₃×C₅×M₁₆	C₂²	1	1	yes	characteristic
12	C₃×C₅×#117	C₂²	1	1	yes	characteristic
13	#91815	C₂²	1	1	yes	characteristic
14	C₂×#6710	C₂²	1	1	yes	characteristic
15	C₂²×C₃⋊#168	C₂²	1	1	yes	characteristic
16	#91796	—	2	1	no	—
17	#91796	—	2	1	no	—
18	#91796	—	2	1	no	—
19	#91796	—	2	1	no	—
20	C₂×#6705	C₄	1	2	yes	complemented
21	C₂×C₈×D₁₅	C₄	1	2	yes	complemented
22	#91108	C₄	1	2	yes	complemented
23	#91107	C₄	1	2	yes	complemented
24	#91099	—	2	1	no	—
25	C₈×Dic₁₅	—	2	1	no	—
26	#91090	C₄	1	4	yes	—
27	#91087	—	2	1	no	—
28	C₄×C₃⋊#168	—	2	1	no	—
29	#69014	—	5	1	no	maximal, Hall
30	C₂×#4053	—	3	1	no	—
31	#65421	—	3	1	no	—
32	#65411	—	3	1	no	—
33	#65295	—	3	1	no	—
34	#65286	—	3	1	no	—
35	C₅×#344	D₃	1	1	yes	characteristic, complemented
36	#64776	—	3	1	no	—
37	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
38	C₂×#1220	C₂×C₄	1	2	yes	—
39	#6817	—	2	1	no	—
40	#6817	—	2	1	no	—
41	#6817	—	2	1	no	—
42	#6817	—	2	1	no	—
43	C₂×D₆₀	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄×D₁₅	C₂×C₄	1	2	yes	—
45	C₂×Dic₃₀	C₂×C₄	1	1	yes	characteristic
46	C₃×C₅×M₁₆	—	2	1	no	—
47	C₃×C₅×M₁₆	—	2	1	no	—
48	C₃×C₅×M₁₆	—	2	1	no	—
49	C₃×C₅×M₁₆	C₂×C₄	1	2	yes	—
50	C₂×C₃×C₅×C₈	—	2	1	no	—
51	C₂×C₃×C₅×C₈	C₂×C₄	1	2	yes	—
52	C₃×C₅×C₄⋊C₄	—	2	1	no	—
53	C₃×C₅×C₂²⋊C₄	C₂×C₄	1	2	yes	—
54	C₃×C₄²×C₅	—	2	1	no	—
55	#6719	C₂×C₄	1	2	yes	—
56	C₄⋊Dic₁₅	—	2	1	no	—
57	C₄×Dic₁₅	—	2	1	no	—
58	#6710	—	2	1	no	—
59	#6710	C₂×C₄	1	2	yes	—
60	C₂×C₃⋊#168	—	2	1	no	—
61	C₂×C₃⋊#168	C₂×C₄	1	1	yes	characteristic
62	C₂×C₃⋊#168	C₂×C₄	1	1	yes	characteristic
63	C₂×C₃⋊#168	D₄	1	1	yes	characteristic
64	C₂×C₃⋊#168	D₄	1	1	yes	characteristic
65	C₂×C₃⋊#168	D₄	1	1	yes	characteristic
66	C₂×C₃⋊#168	D₄	1	1	yes	characteristic
67	#6705	—	2	2	no	—
68	#6705	—	2	2	no	—
69	C₈×D₁₅	—	2	2	no	—
70	C₈×D₁₅	—	2	2	no	—
71	C₂×#907	—	5	1	no	—
72	#5132	—	5	1	no	—
73	#5122	—	5	1	no	—
74	#5006	—	5	1	no	—
75	#4997	—	5	1	no	—
76	C₃×#344	D₅	1	1	yes	characteristic, complemented
77	#4556	—	5	1	no	—
78	C₂×#709	—	3	1	no	—
79	C₂×C₅×M₁₆	C₂×D₃	1	1	yes	characteristic
80	C₂×C₅×M₁₆	C₂×D₃	1	1	yes	characteristic
81	C₅×#117	C₂×D₃	1	1	yes	characteristic
82	#4072	—	3	1	no	—
83	C₂×#681	—	3	1	no	—
84	C₂²×#168	—	3	1	no	—
85	#4053	—	6	1	no	—
86	#4053	—	6	1	no	—
87	#4053	—	6	1	no	—
88	#4053	—	6	1	no	—
89	C₂×#676	—	3	2	no	—
90	C₂×C₈×D₅	—	3	2	no	—
91	#3956	—	3	2	no	—
92	#3955	—	3	2	no	—
93	#3947	—	6	1	no	—
94	C₈×Dic₅	—	6	1	no	—
95	#3938	—	3	4	no	—
96	#3935	—	6	1	no	—
97	C₄×#168	—	6	1	no	—
98	#1757	—	15	1	no	Sylow
99	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
100	C₂²×D₁₅	C₄²	1	2	yes	—
101	C₂×C₃×C₄×C₅	—	2	2	no	—
102	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
103	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
105	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
106	C₂×C₃×C₄×C₅	#41	1	1	yes	characteristic
107	C₂×C₃×C₄×C₅	#41	1	1	yes	characteristic
108	#1220	—	2	2	no	—
109	#1220	—	2	2	no	—
110	C₂×Dic₁₅	—	2	2	no	—
111	C₂×Dic₁₅	C₄²	1	2	yes	—
112	D₆₀	—	2	1	no	—
113	D₆₀	—	2	1	no	—
114	C₄×D₁₅	—	2	2	no	—
115	C₄×D₁₅	—	2	2	no	—
116	Dic₃₀	—	2	1	no	—
117	Dic₃₀	—	2	1	no	—
118	C₃×C₅×C₈	—	2	2	no	—
119	C₃×C₅×C₈	—	2	2	no	—
120	C₃⋊#168	—	2	2	no	—
121	C₃⋊#168	C₂²⋊C₄	1	1	yes	characteristic
122	C₃⋊#168	C₂²⋊C₄	1	1	yes	characteristic
123	C₃⋊#168	C₂²⋊C₄	1	1	yes	characteristic
124	C₃⋊#168	C₂²⋊C₄	1	1	yes	characteristic
125	C₂×#235	—	5	1	no	—
126	C₂×C₃×M₁₆	C₂×D₅	1	1	yes	characteristic
127	C₂×C₃×M₁₆	C₂×D₅	1	1	yes	characteristic
128	C₃×#117	C₂×D₅	1	1	yes	characteristic
129	#926	—	5	1	no	—
130	C₂×#208	—	5	1	no	—
131	C₂²×C₃⋊C₈	—	5	1	no	—
132	#907	—	10	1	no	—
133	#907	—	10	1	no	—
134	#907	—	10	1	no	—
135	#907	—	10	1	no	—
136	C₂×ΓL(1,𝔽₂₅)	—	5	2	no	—
137	C₂×D₃×C₈	—	5	2	no	—
138	#824	—	5	2	no	—
139	#823	—	5	2	no	—
140	#815	—	10	1	no	—
141	C₈×Dic₃	—	10	1	no	—
142	#806	—	5	4	no	—
143	#803	—	10	1	no	—
144	C₄×C₃⋊C₈	—	10	1	no	—
145	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
146	C₂×C₂²⋊D₅	—	3	2	no	—
147	#709	—	6	1	no	—
148	#709	—	6	1	no	—
149	#709	—	6	1	no	—
150	#709	—	6	1	no	—
151	C₂×D₂₀	—	3	1	no	—
152	C₂×C₄×D₅	—	3	2	no	—
153	C₂×Dic₁₀	—	3	1	no	—
154	C₅×M₁₆	—	2	1	no	—
155	C₅×M₁₆	—	2	1	no	—
156	C₅×M₁₆	—	2	1	no	—
157	C₅×M₁₆	C₄×D₃	1	2	yes	—
158	C₂×C₅×C₈	—	2	1	no	—
159	C₂×C₅×C₈	C₄×D₃	1	2	yes	—
160	C₅×C₄⋊C₄	—	2	1	no	—
161	C₅×C₂²⋊C₄	C₄×D₃	1	2	yes	—
162	C₄²×C₅	—	2	1	no	—
163	C₂²⋊Dic₅	—	3	2	no	—
164	C₄⋊Dic₅	—	6	1	no	—
165	C₄×Dic₅	—	6	1	no	—
166	#681	—	3	2	no	—
167	#681	—	6	1	no	—
168	C₂×#168	—	3	1	no	—
169	C₂×#168	—	3	1	no	—
170	C₂×#168	—	3	1	no	—
171	C₂×#168	—	3	1	no	—
172	C₂×#168	—	3	1	no	—
173	C₂×#168	—	3	1	no	—
174	C₂×#168	—	6	1	no	—
175	#676	—	6	2	no	—
176	#676	—	6	2	no	—
177	C₈×D₅	—	6	2	no	—
178	C₈×D₅	—	6	2	no	—
179	C₂×#131	—	15	1	no	—
180	#413	—	15	1	no	—
181	#410	—	15	1	no	—
182	#405	—	15	1	no	—
183	#405	—	15	1	no	—
184	#344	—	15	1	no	—
185	#344	D₁₅	1	1	yes	characteristic, complemented
186	C₂²×C₃×C₅	—	4	1	no	—
187	C₂²×C₃×C₅	C₂×C₄²	1	1	yes	characteristic
188	C₂²×C₃×C₅	C₄×D₄	1	1	yes	characteristic
189	C₂²×C₃×C₅	C₄×D₄	1	1	yes	characteristic
190	C₂×D₁₅	—	2	2	no	—
191	C₂×D₁₅	—	4	2	no	—
192	C₃×C₄×C₅	—	4	2	no	—
193	C₃×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
194	C₃×C₄×C₅	#117	1	1	yes	characteristic
195	C₃×C₄×C₅	C₄×D₄	1	1	yes	characteristic
196	C₃×C₄×C₅	C₄×D₄	1	1	yes	characteristic
197	Dic₁₅	—	2	2	no	—
198	Dic₁₅	—	4	2	no	—
199	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
200	C₂×#67	—	5	2	no	—
201	#235	—	10	1	no	—
202	#235	—	10	1	no	—
203	#235	—	10	1	no	—
204	#235	—	10	1	no	—
205	C₂×D₁₂	—	5	1	no	—
206	C₂×C₄×D₃	—	5	2	no	—
207	C₂×Dic₆	—	5	1	no	—
208	C₃×M₁₆	—	2	1	no	—
209	C₃×M₁₆	—	2	1	no	—
210	C₃×M₁₆	—	2	1	no	—
211	C₃×M₁₆	C₄×D₅	1	2	yes	—
212	C₂×C₃×C₈	—	2	1	no	—
213	C₂×C₃×C₈	C₄×D₅	1	2	yes	—
214	C₃×C₄⋊C₄	—	2	1	no	—
215	C₃×C₂²⋊C₄	C₄×D₅	1	2	yes	—
216	C₃×C₄²	—	2	1	no	—
217	#217	—	5	2	no	—
218	C₄⋊Dic₃	—	10	1	no	—
219	C₄×Dic₃	—	10	1	no	—
220	#208	—	5	2	no	—
221	#208	—	10	1	no	—
222	C₂×C₃⋊C₈	—	5	1	no	—
223	C₂×C₃⋊C₈	—	5	1	no	—
224	C₂×C₃⋊C₈	—	5	1	no	—
225	C₂×C₃⋊C₈	—	5	1	no	—
226	C₂×C₃⋊C₈	—	5	1	no	—
227	C₂×C₃⋊C₈	—	5	1	no	—
228	C₂×C₃⋊C₈	—	10	1	no	—
229	ΓL(1,𝔽₂₅)	—	10	2	no	—
230	ΓL(1,𝔽₂₅)	—	10	2	no	—
231	D₃×C₈	—	10	2	no	—
232	D₃×C₈	—	10	2	no	—
233	C₂³×C₅	C₂×C₄×D₃	1	1	yes	characteristic
234	C₂²×D₅	—	3	2	no	—
235	C₂×C₄×C₅	—	2	2	no	—
236	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
237	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
238	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
239	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
240	C₂×C₄×C₅	#237	1	1	yes	characteristic
241	C₂×C₄×C₅	#239	1	1	yes	characteristic
242	C₂²⋊D₅	—	6	2	no	—
243	C₂²⋊D₅	—	6	2	no	—
244	C₂×Dic₅	—	3	2	no	—
245	C₂×Dic₅	—	6	2	no	—
246	D₂₀	—	6	1	no	—
247	D₂₀	—	6	1	no	—
248	C₄×D₅	—	6	2	no	—
249	C₄×D₅	—	6	2	no	—
250	Dic₁₀	—	6	1	no	—
251	Dic₁₀	—	6	1	no	—
252	C₅×C₈	—	2	2	no	—
253	C₅×C₈	—	2	2	no	—
254	#168	—	3	1	no	—
255	#168	—	3	1	no	—
256	#168	—	3	1	no	—
257	#168	—	3	1	no	—
258	#168	—	6	2	no	—
259	C₂×#41	—	15	1	no	—
260	#131	—	30	1	no	—
261	#131	—	30	1	no	—
262	#131	—	30	1	no	—
263	#131	—	30	1	no	—
264	C₂×M₁₆	—	15	2	no	—
265	C₂×M₁₆	—	15	1	no	—
266	C₂×M₁₆	C₂×D₁₅	1	1	yes	characteristic
267	C₂×M₁₆	C₂×D₁₅	1	1	yes	characteristic
268	C₂²×C₈	—	15	1	no	—
269	C₂²×C₈	—	15	2	no	—
270	#117	—	15	1	no	—
271	#117	C₂×D₁₅	1	1	yes	characteristic
272	#101	—	15	2	no	—
273	#100	—	15	2	no	—
274	#99	—	15	4	no	—
275	#97	—	30	1	no	—
276	#97	—	30	1	no	—
277	C₄×C₈	—	30	1	no	—
278	C₄×C₈	—	30	1	no	—
279	C₂×C₃×C₅	—	2	1	no	—
280	C₂×C₃×C₅	—	2	1	no	—
281	C₂×C₃×C₅	—	2	1	no	—
282	C₂×C₃×C₅	C₄×C₂²⋊C₄	1	1	yes	characteristic
283	D₁₅	—	4	2	no	—
284	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
285	C₂²×D₃	—	5	2	no	—
286	C₂×C₃×C₄	—	2	2	no	—
287	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
288	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
289	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
290	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
291	C₂×C₃×C₄	#711	1	1	yes	characteristic
292	C₂×C₃×C₄	#713	1	1	yes	characteristic
293	#67	—	10	2	no	—
294	#67	—	10	2	no	—
295	C₂×Dic₃	—	5	2	no	—
296	C₂×Dic₃	—	10	2	no	—
297	D₁₂	—	10	1	no	—
298	D₁₂	—	10	1	no	—
299	C₄×D₃	—	10	2	no	—
300	C₄×D₃	—	10	2	no	—
301	Dic₆	—	10	1	no	—
302	Dic₆	—	10	1	no	—
303	C₃×C₈	—	2	2	no	—
304	C₃×C₈	—	2	2	no	—
305	C₃⋊C₈	—	5	1	no	—
306	C₃⋊C₈	—	5	1	no	—
307	C₃⋊C₈	—	5	1	no	—
308	C₃⋊C₈	—	5	1	no	—
309	C₃⋊C₈	—	10	2	no	—
310	C₂²×C₅	—	4	1	no	—
311	C₂²×C₅	C₄²×D₃	1	1	yes	characteristic
312	C₂²×C₅	#67⋊C₄	1	1	yes	characteristic
313	C₂²×C₅	#893	1	1	yes	characteristic
314	C₂×D₅	—	6	2	no	—
315	C₂×D₅	—	12	2	no	—
316	C₄×C₅	—	4	2	no	—
317	C₄×C₅	D₃×C₂²⋊C₄	1	1	yes	characteristic
318	C₄×C₅	#67⋊C₄	1	1	yes	characteristic
319	C₄×C₅	#892	1	1	yes	characteristic
320	C₄×C₅	#893	1	1	yes	characteristic
321	Dic₅	—	6	2	no	—
322	Dic₅	—	12	2	no	—
323	#41	—	30	1	no	—
324	#41	—	30	1	no	—
325	#41	—	30	1	no	—
326	#41	—	30	1	no	—
327	C₂×Q₈	—	15	1	no	—
328	C₂×D₄	—	15	2	no	—
329	C₂×D₄	—	15	1	no	—
330	C₂²×C₄	—	15	2	no	—
331	C₂²×C₄	C₂²×D₁₅	1	1	yes	characteristic
332	M₁₆	—	2	1	no	—
333	M₁₆	—	2	1	no	—
334	M₁₆	—	2	1	no	—
335	M₁₆	—	15	2	no	—
336	M₁₆	—	30	2	no	—
337	M₁₆	—	30	2	no	—
338	M₁₆	—	30	1	no	—
339	M₁₆	C₄×D₁₅	1	2	yes	—
340	C₂×C₈	—	2	1	no	—
341	C₂×C₈	—	15	1	no	—
342	C₂×C₈	—	15	1	no	—
343	C₂×C₈	—	15	1	no	—
344	C₂×C₈	—	15	1	no	—
345	C₂×C₈	—	15	1	no	—
346	C₂×C₈	—	15	1	no	—
347	C₂×C₈	—	30	2	no	—
348	C₂×C₈	—	30	2	no	—
349	C₂×C₈	—	30	1	no	—
350	C₂×C₈	C₄×D₁₅	1	2	yes	—
351	C₄⋊C₄	—	2	1	no	—
352	C₄⋊C₄	—	30	1	no	—
353	C₂²⋊C₄	—	15	2	no	—
354	C₂²⋊C₄	C₄×D₁₅	1	2	yes	—
355	C₄²	—	2	1	no	—
356	C₄²	—	30	1	no	—
357	C₃×C₅	#1757	1	1	yes	characteristic, complemented, Hall
358	C₂²×C₃	—	4	1	no	—
359	C₂²×C₃	C₄²×D₅	1	1	yes	characteristic
360	C₂²×C₃	#4027	1	1	yes	characteristic
361	C₂²×C₃	#4039	1	1	yes	characteristic
362	C₂×D₃	—	10	2	no	—
363	C₂×D₃	—	20	2	no	—
364	C₃×C₄	—	4	2	no	—
365	C₃×C₄	D₅×C₂²⋊C₄	1	1	yes	characteristic
366	C₃×C₄	#4027	1	1	yes	characteristic
367	C₃×C₄	#4038	1	1	yes	characteristic
368	C₃×C₄	#4039	1	1	yes	characteristic
369	Dic₃	—	10	2	no	—
370	Dic₃	—	20	2	no	—
371	C₂×C₅	—	2	1	no	—
372	C₂×C₅	—	2	1	no	—
373	C₂×C₅	—	2	1	no	—
374	C₂×C₅	#4666	1	1	yes	characteristic
375	D₅	—	12	2	no	—
376	C₂³	—	15	2	no	—
377	C₂³	C₂×C₄×D₁₅	1	1	yes	characteristic
378	Q₈	—	30	1	no	—
379	Q₈	—	30	1	no	—
380	D₄	—	30	2	no	—
381	D₄	—	30	2	no	—
382	D₄	—	30	1	no	—
383	D₄	—	30	1	no	—
384	C₂×C₄	—	2	2	no	—
385	C₂×C₄	—	15	2	no	—
386	C₂×C₄	—	30	2	no	—
387	C₂×C₄	—	30	2	no	—
388	C₂×C₄	—	30	2	no	—
389	C₂×C₄	C₂×C₄×D₁₅	1	1	yes	characteristic
390	C₂×C₄	C₂×C₄×D₁₅	1	1	yes	characteristic
391	C₂×C₄	D₄×D₁₅	1	1	yes	characteristic
392	C₂×C₄	D₄×D₁₅	1	1	yes	characteristic
393	C₂×C₄	#6819	1	1	yes	characteristic
394	C₂×C₄	#6821	1	1	yes	characteristic
395	C₈	—	2	2	no	—
396	C₈	—	2	2	no	—
397	C₈	—	15	1	no	—
398	C₈	—	15	1	no	—
399	C₈	—	15	1	no	—
400	C₈	—	15	1	no	—
401	C₈	—	30	2	no	—
402	C₂×C₃	—	2	1	no	—
403	C₂×C₃	—	2	1	no	—
404	C₂×C₃	—	2	1	no	—
405	C₂×C₃	#64955	1	1	yes	characteristic
406	D₃	—	20	2	no	—
407	C₅	#69014	1	1	yes	characteristic, complemented, Sylow
408	C₂²	—	4	1	no	—
409	C₂²	—	30	2	no	—
410	C₂²	—	60	2	no	—
411	C₂²	C₄²×D₁₅	1	1	yes	characteristic
412	C₂²	#91770	1	1	yes	characteristic
413	C₂²	#91782	1	1	yes	characteristic
414	C₄	—	4	2	no	—
415	C₄	—	30	2	no	—
416	C₄	—	60	2	no	—
417	C₄	C₂²⋊C₄×D₁₅	1	1	yes	characteristic
418	C₄	#91770	1	1	yes	characteristic
419	C₄	#91781	1	1	yes	characteristic
420	C₄	#91782	1	1	yes	characteristic
421	C₃	#10599807	1	1	yes	characteristic, complemented, Sylow
422	C₂	—	2	1	no	—
423	C₂	—	2	1	no	—
424	C₂	—	2	1	no	—
425	C₂	—	60	2	no	—
426	C₂	#11750767	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂²⋊C₄×D₁₅
commutator	C₂²×C₃×C₅	C₂×C₄²
Frattini	C₂²×C₄	C₂²×D₁₅
Fitting	C₃×C₅×#344	C₂
socle	C₂×C₃×C₅	C₄×C₂²⋊C₄
prime radical	C₂×#6817	C₂²
cosocle	C₂²×C₃×C₄×C₅	C₂³
hypercenter	#344	D₁₅
hypocenter	C₃×C₅	#1757
LCS	G ▷ C₂²×C₃×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ #344

Complements

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

N	H ≅ G/N	type
3. #11751223	C₂	semidirect
5. #11751098	C₂	semidirect
6. C₃×C₅×#344	C₂	semidirect
7. #11746377	C₂	semidirect
20. C₂×#6705	C₄	semidirect
21. C₂×C₈×D₁₅	C₄	semidirect
22. #91108	C₄	semidirect
23. #91107	C₄	semidirect
35. C₅×#344	D₃	semidirect
76. C₃×#344	D₅	semidirect
185. #344	D₁₅	semidirect
357. C₃×C₅	#1757	semidirect
407. C₅	#69014	semidirect
421. C₃	#10599807	semidirect

Maximal subgroups

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

subgroup	index
C₂×#91796	2
#11751233	2
#11751223	2
#11751107	2
#11751098	2
C₃×C₅×#344	2
#11746377	2
#10599807	3
#69014	5