Subgroups — #13323026

Order 1792.

610 conjugacy classes of subgroups.

The subgroup lattice has 406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11736721	C₂	1	1	yes	maximal, characteristic
2	#11736485	C₂	1	1	yes	maximal, characteristic
3	#11736445	C₂	1	1	yes	maximal, characteristic
4	C₇×#1571	C₂	1	1	yes	maximal, characteristic, complemented
5	#11728504	C₂	1	1	yes	maximal, characteristic, complemented
6	#11728244	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#89275	C₂	1	1	yes	maximal, characteristic, complemented
8	#11726327	C₂	1	2	yes	maximal, complemented
9	#11726327	C₂	1	2	yes	maximal, complemented
10	#11726324	C₂	1	2	yes	maximal, complemented
11	#11726321	C₂	1	2	yes	maximal, complemented
12	C₄×#1157	C₂²	1	1	yes	characteristic
13	C₇×#431	C₂²	1	1	yes	characteristic
14	C₇×#423	C₂²	1	1	yes	characteristic
15	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
16	#89901	—	2	1	no	—
17	#89894	—	2	1	no	—
18	#89882	—	2	1	no	—
19	#89873	—	2	1	no	—
20	#89696	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic
22	C₂×C₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
23	#89612	—	2	2	no	—
24	#89612	—	2	2	no	—
25	#89607	C₂²	1	2	yes	—
26	#89607	C₂²	1	2	yes	—
27	#89606	C₄	1	1	yes	characteristic
28	#89606	C₄	1	1	yes	characteristic
29	#89605	C₂²	1	2	yes	—
30	#89605	C₂²	1	2	yes	—
31	#89602	C₄	1	1	yes	characteristic
32	#89602	C₄	1	1	yes	characteristic
33	(C₂²⋊D₇)⋊C₈	C₄	1	2	yes	—
34	(C₂²⋊D₇)⋊C₈	C₄	1	2	yes	—
35	#89457	C₂²	1	2	yes	—
36	C₄×C₈×D₇	C₂²	1	2	yes	—
37	C₇×#335	C₂²	1	2	yes	—
38	C₇×#335	C₂²	1	2	yes	—
39	#89275	C₂²	1	1	yes	characteristic
40	#89275	C₂²	1	1	yes	characteristic
41	#89275	C₂²	1	1	yes	characteristic
42	#89275	C₂²	1	1	yes	characteristic
43	#89275	C₂²	1	2	yes	—
44	#89275	C₂²	1	2	yes	—
45	#89253	C₂²	1	2	yes	—
46	#89253	C₂²	1	2	yes	—
47	#17827	—	7	1	no	maximal, Sylow
48	C₂×#1157	D₄	1	1	yes	characteristic
49	C₂×C₇×M₁₆	—	2	1	no	—
50	C₂²×C₇×C₈	—	2	1	no	—
51	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
52	C₄×C₂²⋊D₇	C₂×C₄	1	2	yes	—
53	C₄×C₂²⋊D₇	Q₈	1	2	yes	—
54	#6489	D₄	1	1	yes	characteristic
55	C₂×#1136	—	2	1	no	—
56	C₂²×C₇⋊C₈	—	2	1	no	—
57	C₂²×C₇⋊C₈	C₂×C₄	1	1	yes	characteristic
58	C₂²×C₇⋊C₈	C₂×C₄	1	1	yes	characteristic
59	C₂×C₈×D₇	C₂×C₄	1	2	yes	—
60	C₂×C₈×D₇	C₂×C₄	1	2	yes	—
61	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
62	C₄×D₂₈	Q₈	1	1	yes	characteristic
63	#6435	D₄	1	2	yes	—
64	C₄²×D₇	C₂³	1	2	yes	—
65	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
66	C₄×Dic₁₄	Q₈	1	1	yes	characteristic
67	C₇×C₄⋊C₈	—	2	1	no	—
68	C₇×C₄⋊C₈	—	2	1	no	—
69	C₇×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
70	C₇×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
71	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
72	C₇×C₄⋊C₈	C₂³	1	2	yes	—
73	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
74	C₇×C₂²⋊C₈	C₂×C₄	1	2	yes	—
75	C₄×C₇×C₈	C₂³	1	2	yes	—
76	(C₂×D₇)⋊C₈	—	2	2	no	—
77	(C₂×D₇)⋊C₈	—	2	2	no	—
78	(C₂×D₇)⋊C₈	—	2	2	no	—
79	(C₂×D₇)⋊C₈	—	2	2	no	—
80	(C₂×D₇)⋊C₈	C₂×C₄	1	2	yes	—
81	(C₂×D₇)⋊C₈	C₂×C₄	1	2	yes	—
82	#6389	—	2	2	no	—
83	#6389	—	2	2	no	—
84	Dic₇⋊C₈	C₂×C₄	1	2	yes	—
85	Dic₇⋊C₈	C₂×C₄	1	2	yes	—
86	C₈×Dic₇	—	2	2	no	—
87	C₈×Dic₇	—	2	2	no	—
88	C₈×Dic₇	C₂×C₄	1	2	yes	—
89	C₈×Dic₇	C₂×C₄	1	2	yes	—
90	C₄⋊(C₇⋊C₈)	—	2	1	no	—
91	C₄⋊(C₇⋊C₈)	—	2	1	no	—
92	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
93	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
94	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
95	C₄×C₇⋊C₈	C₂×C₄	1	1	yes	characteristic
96	C₄×C₇⋊C₈	C₂×C₄	1	1	yes	characteristic
97	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
98	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
99	C₈×#41	—	7	1	no	—
100	#2925	—	7	1	no	—
101	#2925	—	7	1	no	—
102	#1572	—	7	2	no	—
103	#1572	—	7	2	no	—
104	#1571	—	7	1	no	—
105	#1571	D₇	1	1	yes	characteristic, complemented
106	#1568	—	7	2	no	—
107	#1566	—	7	1	no	—
108	#1564	—	7	2	no	—
109	C₂×#334	—	7	1	no	—
110	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
111	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₇	C₂×Q₈	1	1	yes	characteristic
113	C₂×C₂²⋊D₇	C₄⋊C₄	1	2	yes	—
114	#1157	—	2	2	no	—
115	#1157	—	2	2	no	—
116	C₂×D₂₈	C₄⋊C₄	1	1	yes	characteristic
117	C₂×C₄×D₇	C₂²×C₄	1	2	yes	—
118	C₂×C₄×D₇	C₂×D₄	1	2	yes	—
119	C₂×C₄×D₇	C₂×Q₈	1	2	yes	—
120	C₂×Dic₁₄	C₄⋊C₄	1	1	yes	characteristic
121	C₇×M₁₆	—	4	2	no	—
122	C₂×C₇×C₈	—	2	1	no	—
123	C₂×C₇×C₈	—	2	1	no	—
124	C₂×C₇×C₈	—	2	2	no	—
125	C₂×C₇×C₈	—	4	2	no	—
126	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
127	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
128	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
129	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₇	C₂×Q₈	1	1	yes	characteristic
131	C₄²×C₇	C₂⁴	1	1	yes	characteristic
132	C₂²⋊Dic₇	C₄⋊C₄	1	2	yes	—
133	(C₂×D₇)⋊C₄	C₄⋊C₄	1	2	yes	—
134	(C₂×D₇)⋊C₄	C₄⋊C₄	1	2	yes	—
135	C₄⋊Dic₇	C₄⋊C₄	1	1	yes	characteristic
136	C₄⋊Dic₇	C₄⋊C₄	1	1	yes	characteristic
137	Dic₇⋊C₄	C₄⋊C₄	1	2	yes	—
138	Dic₇⋊C₄	C₄⋊C₄	1	2	yes	—
139	C₄×Dic₇	C₂²×C₄	1	2	yes	—
140	C₄×Dic₇	C₂×D₄	1	2	yes	—
141	C₄×Dic₇	C₂×Q₈	1	2	yes	—
142	#1136	—	4	2	no	—
143	C₂×C₇⋊C₈	—	2	2	no	—
144	C₂×C₇⋊C₈	—	2	1	no	—
145	C₂×C₇⋊C₈	—	2	1	no	—
146	C₂×C₇⋊C₈	—	2	2	no	—
147	C₂×C₇⋊C₈	—	4	1	no	—
148	C₂×C₇⋊C₈	—	4	2	no	—
149	C₂×C₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
150	C₂×C₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
151	C₂×C₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
152	C₂×C₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
153	C₈×D₇	—	2	4	no	—
154	C₈×D₇	—	4	2	no	—
155	C₄×#41	—	7	1	no	—
156	C₈×Q₈	—	7	1	no	—
157	C₈×Q₈	—	7	1	no	—
158	C₈×D₄	—	7	1	no	—
159	C₈×D₄	—	7	1	no	—
160	C₈×D₄	—	7	2	no	—
161	C₈×D₄	—	7	2	no	—
162	#433	—	14	2	no	—
163	#433	—	14	2	no	—
164	#432	—	7	2	no	—
165	#432	—	7	2	no	—
166	#431	—	7	2	no	—
167	#431	—	7	2	no	—
168	#431	—	7	2	no	—
169	#431	C₂×D₇	1	1	yes	characteristic
170	#423	—	7	1	no	—
171	#423	C₂×D₇	1	1	yes	characteristic
172	C₂×C₄⋊C₈	—	7	1	no	—
173	C₂×C₄⋊C₈	C₂×D₇	1	1	yes	characteristic
174	#408	—	14	1	no	—
175	#408	—	14	1	no	—
176	#405	—	14	1	no	—
177	#405	—	14	1	no	—
178	C₂×C₄×C₈	—	7	1	no	—
179	C₂×C₄×C₈	—	7	2	no	—
180	#335	—	7	2	no	—
181	#335	—	7	2	no	—
182	#335	C₂×D₇	1	2	yes	—
183	#335	C₂×D₇	1	2	yes	—
184	#334	—	7	1	no	—
185	#334	—	7	1	no	—
186	#334	—	7	1	no	—
187	#334	—	7	1	no	—
188	#334	—	7	2	no	—
189	#334	—	7	2	no	—
190	C₂³×C₇	C₂×C₄⋊C₄	1	1	yes	characteristic
191	C₂²×D₇	C₂×C₄⋊C₄	1	2	yes	—
192	C₂×C₄×C₇	—	2	1	no	—
193	C₂×C₄×C₇	—	2	1	no	—
194	C₂×C₄×C₇	—	4	1	no	—
195	C₂×C₄×C₇	C₂×C₄⋊C₄	1	1	yes	characteristic
196	C₂×C₄×C₇	C₂×C₄⋊C₄	1	1	yes	characteristic
197	C₂×C₄×C₇	C₂×C₄⋊C₄	1	1	yes	characteristic
198	C₂×C₄×C₇	#135	1	2	yes	—
199	C₂×C₄×C₇	#135	1	2	yes	—
200	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
201	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
202	C₂×C₄×C₇	C₂²×Q₈	1	1	yes	characteristic
203	C₂²⋊D₇	—	2	4	no	—
204	C₂×Dic₇	C₂×C₄⋊C₄	1	2	yes	—
205	C₂×Dic₇	C₂×C₄⋊C₄	1	2	yes	—
206	C₂×Dic₇	C₂×C₄⋊C₄	1	2	yes	—
207	D₂₈	—	2	2	no	—
208	C₄×D₇	—	2	2	no	—
209	C₄×D₇	—	2	2	no	—
210	C₄×D₇	—	2	2	no	—
211	C₄×D₇	—	2	2	no	—
212	C₄×D₇	—	4	2	no	—
213	Dic₁₄	—	2	2	no	—
214	C₇×C₈	—	2	2	no	—
215	C₇×C₈	—	2	2	no	—
216	C₇×C₈	—	4	1	no	—
217	C₇×C₈	—	4	1	no	—
218	C₇×C₈	—	4	2	no	—
219	C₇⋊C₈	—	2	1	no	—
220	C₇⋊C₈	—	2	1	no	—
221	C₇⋊C₈	—	2	1	no	—
222	C₇⋊C₈	—	4	1	no	—
223	C₇⋊C₈	—	4	1	no	—
224	C₇⋊C₈	—	4	2	no	—
225	C₇⋊C₈	#131	1	2	yes	—
226	C₂×#41	—	7	1	no	—
227	C₂×M₁₆	—	2	1	no	—
228	C₂×M₁₆	—	14	1	no	—
229	C₂²×C₈	—	2	1	no	—
230	C₂²×C₈	—	7	1	no	—
231	C₂²×C₈	—	7	1	no	—
232	C₂²×C₈	—	7	2	no	—
233	C₂²×C₈	—	7	2	no	—
234	C₂²×C₈	—	14	1	no	—
235	C₄×Q₈	—	7	1	no	—
236	C₄×Q₈	—	7	1	no	—
237	C₄×D₄	—	7	2	no	—
238	C₄×D₄	—	7	2	no	—
239	C₄×D₄	—	7	1	no	—
240	C₄×D₄	—	7	1	no	—
241	#117	—	7	1	no	—
242	#117	—	7	2	no	—
243	C₂×C₄²	—	7	2	no	—
244	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
245	C₄⋊C₈	—	2	1	no	—
246	C₄⋊C₈	—	2	1	no	—
247	C₄⋊C₈	—	7	2	no	—
248	C₄⋊C₈	—	7	2	no	—
249	C₄⋊C₈	—	7	1	no	—
250	C₄⋊C₈	—	7	1	no	—
251	C₄⋊C₈	—	7	2	no	—
252	C₄⋊C₈	—	14	1	no	—
253	C₄⋊C₈	—	14	1	no	—
254	C₄⋊C₈	C₄×D₇	1	1	yes	characteristic
255	C₄⋊C₈	C₄×D₇	1	1	yes	characteristic
256	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
257	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
258	C₄⋊C₈	C₂²×D₇	1	2	yes	—
259	C₂²⋊C₈	—	7	2	no	—
260	C₂²⋊C₈	—	7	2	no	—
261	C₂²⋊C₈	—	14	2	no	—
262	C₂²⋊C₈	—	14	2	no	—
263	C₂²⋊C₈	—	14	2	no	—
264	C₂²⋊C₈	—	14	2	no	—
265	C₂²⋊C₈	C₄×D₇	1	2	yes	—
266	#97	—	14	2	no	—
267	#97	—	14	2	no	—
268	C₄×C₈	—	7	2	no	—
269	C₄×C₈	—	7	2	no	—
270	C₄×C₈	—	7	1	no	—
271	C₄×C₈	—	7	1	no	—
272	C₄×C₈	—	7	1	no	—
273	C₄×C₈	—	7	1	no	—
274	C₄×C₈	—	14	2	no	—
275	C₄×C₈	—	14	2	no	—
276	C₄×C₈	C₂²×D₇	1	2	yes	—
277	C₂²×C₇	—	2	1	no	—
278	C₂²×C₇	—	2	1	no	—
279	C₂²×C₇	#427	1	2	yes	—
280	C₂²×C₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
281	C₂×D₇	—	2	2	no	—
282	C₂×D₇	—	2	2	no	—
283	C₂×D₇	—	2	2	no	—
284	C₄×C₇	—	2	1	no	—
285	C₄×C₇	—	2	1	no	—
286	C₄×C₇	—	2	1	no	—
287	C₄×C₇	#427	1	2	yes	—
288	C₄×C₇	C₂×#131	1	1	yes	characteristic
289	C₄×C₇	#568	1	1	yes	characteristic
290	C₄×C₇	C₂×#135	1	1	yes	characteristic
291	C₄×C₇	C₂×#135	1	1	yes	characteristic
292	Dic₇	—	2	2	no	—
293	Dic₇	—	2	2	no	—
294	Dic₇	—	2	2	no	—
295	#41	—	14	2	no	—
296	#41	—	14	2	no	—
297	C₂×Q₈	—	7	1	no	—
298	C₂×D₄	—	7	2	no	—
299	C₂×D₄	—	7	1	no	—
300	C₂²×C₄	—	7	2	no	—
301	C₂²×C₄	—	7	2	no	—
302	C₂²×C₄	—	7	2	no	—
303	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
304	C₂²×C₄	D₄×D₇	1	1	yes	characteristic
305	C₂²×C₄	Q₈×D₇	1	1	yes	characteristic
306	M₁₆	—	4	2	no	—
307	M₁₆	—	28	2	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	4	2	no	—
312	C₂×C₈	—	7	1	no	—
313	C₂×C₈	—	7	1	no	—
314	C₂×C₈	—	7	1	no	—
315	C₂×C₈	—	7	1	no	—
316	C₂×C₈	—	14	4	no	—
317	C₂×C₈	—	14	2	no	—
318	C₂×C₈	—	14	1	no	—
319	C₂×C₈	—	14	2	no	—
320	C₂×C₈	—	14	1	no	—
321	C₂×C₈	—	28	2	no	—
322	C₂×C₈	—	28	1	no	—
323	C₂×C₈	—	28	2	no	—
324	C₂×C₈	C₂×C₄×D₇	1	2	yes	—
325	C₂×C₈	C₂×C₄×D₇	1	2	yes	—
326	C₄⋊C₄	—	7	2	no	—
327	C₄⋊C₄	—	7	2	no	—
328	C₄⋊C₄	—	7	1	no	—
329	C₄⋊C₄	—	7	1	no	—
330	C₂²⋊C₄	—	7	2	no	—
331	C₂²⋊C₄	—	7	2	no	—
332	C₂²⋊C₄	—	7	2	no	—
333	C₄²	—	7	2	no	—
334	C₄²	—	7	2	no	—
335	C₄²	—	7	2	no	—
336	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
337	C₄²	D₄×D₇	1	1	yes	characteristic
338	C₄²	Q₈×D₇	1	1	yes	characteristic
339	C₄²	C₂³×D₇	1	1	yes	characteristic
340	C₂×C₇	—	2	2	no	—
341	C₂×C₇	#2906	1	1	yes	characteristic
342	C₂×C₇	C₂×#427	1	1	yes	characteristic
343	C₂×C₇	#2916	1	1	yes	characteristic
344	D₇	—	4	2	no	—
345	C₂³	—	7	2	no	—
346	C₂³	D₇×C₄⋊C₄	1	1	yes	characteristic
347	Q₈	—	14	2	no	—
348	D₄	—	14	4	no	—
349	D₄	—	14	2	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	4	1	no	—
353	C₂×C₄	—	7	2	no	—
354	C₂×C₄	—	7	2	no	—
355	C₂×C₄	—	7	2	no	—
356	C₂×C₄	—	14	2	no	—
357	C₂×C₄	—	14	2	no	—
358	C₂×C₄	—	14	2	no	—
359	C₂×C₄	—	14	2	no	—
360	C₂×C₄	—	28	2	no	—
361	C₂×C₄	D₇×C₄⋊C₄	1	1	yes	characteristic
362	C₂×C₄	D₇×C₄⋊C₄	1	1	yes	characteristic
363	C₂×C₄	D₇×C₄⋊C₄	1	1	yes	characteristic
364	C₂×C₄	#6475	1	2	yes	—
365	C₂×C₄	#6482	1	2	yes	—
366	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
367	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
368	C₂×C₄	C₂×Q₈×D₇	1	1	yes	characteristic
369	C₈	—	2	2	no	—
370	C₈	—	2	2	no	—
371	C₈	—	4	1	no	—
372	C₈	—	4	1	no	—
373	C₈	—	4	2	no	—
374	C₈	—	7	2	no	—
375	C₈	—	14	1	no	—
376	C₈	—	14	1	no	—
377	C₈	—	14	1	no	—
378	C₈	—	28	1	no	—
379	C₈	—	28	1	no	—
380	C₈	—	28	2	no	—
381	C₇	#17827	1	1	yes	characteristic, complemented, Sylow
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	14	2	no	—
385	C₂²	—	14	2	no	—
386	C₂²	—	14	2	no	—
387	C₂²	#89652	1	2	yes	—
388	C₂²	C₂×D₇×C₄⋊C₄	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	14	2	no	—
393	C₄	—	14	2	no	—
394	C₄	—	14	2	no	—
395	C₄	#89652	1	2	yes	—
396	C₄	D₇×#131	1	1	yes	characteristic
397	C₄	#90441	1	1	yes	characteristic
398	C₄	C₂×#6475	1	1	yes	characteristic
399	C₄	C₂×#6482	1	1	yes	characteristic
400	C₂	—	2	2	no	—
401	C₂	—	28	2	no	—
402	C₂	#11736526	1	1	yes	characteristic
403	C₂	C₂×#89652	1	1	yes	characteristic
404	C₂	#11736705	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₇
commutator	C₂×C₄×C₇	C₂³×C₄
Frattini	C₄²	C₂³×D₇
Fitting	C₇×#1571	C₂
socle	C₂²×C₇	C₂²×C₄⋊C₄
prime radical	C₂×#1157	D₄
cosocle	C₄²×C₇	C₂⁴
hypercenter	#1571	D₇
hypocenter	C₇	#17827
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1571

Complements

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

N	H ≅ G/N	type
4. C₇×#1571	C₂	semidirect
5. #11728504	C₂	semidirect
6. #11728244	C₂	semidirect
7. C₂×#89275	C₂	semidirect
8. #11726327	C₂	semidirect
9. #11726327	C₂	semidirect
10. #11726324	C₂	semidirect
11. #11726321	C₂	semidirect
105. #1571	D₇	semidirect
381. C₇	#17827	semidirect

Maximal subgroups

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

subgroup	index
#11736721	2
#11736485	2
#11736445	2
C₇×#1571	2
#11728504	2
#11728244	2
C₂×#89275	2
#11726327	2
#11726324	2
#11726321	2
#17827	7