Subgroups — #14545518

Order 2176.

502 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×#10587678	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₇⋊M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	#11763843	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763842	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763841	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763839	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763839	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763838	C₂	1	1	yes	maximal, characteristic, complemented
9	#11763837	C₂	1	1	yes	maximal, characteristic, complemented
10	#11763836	C₂	1	1	yes	maximal, characteristic, complemented
11	#11763815	C₂	1	1	yes	maximal, characteristic, complemented
12	#11763782	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#10587543	C₂	1	1	yes	maximal, characteristic, complemented
14	#11763773	C₂	1	1	yes	maximal, characteristic, complemented
15	#11763317	C₂	1	1	yes	maximal, characteristic
16	C₂×#63254	C₂²	1	1	yes	characteristic
17	C₂²×C₄×D₁₇	C₂²	1	1	yes	characteristic
18	C₂×#63247	C₂²	1	1	yes	characteristic
19	C₂×#63247	C₂²	1	1	yes	characteristic
20	C₂×#63247	C₂²	1	1	yes	characteristic, complemented
21	C₂²×#3624	C₂²	1	1	yes	characteristic
22	C₂²×#3624	C₂²	1	1	yes	characteristic
23	C₂²×#3624	C₂²	1	1	yes	characteristic, complemented
24	#10587678	—	2	4	no	—
25	D₁₇⋊M₁₆	—	2	4	no	—
26	C₂×#63243	C₂²	1	1	yes	characteristic
27	C₂×#63243	C₂²	1	1	yes	characteristic
28	C₂×#63243	C₂²	1	1	yes	characteristic, complemented
29	C₂×#63242	C₂²	1	1	yes	characteristic
30	C₂×#63242	C₂²	1	1	yes	characteristic
31	C₂×#63242	C₂²	1	1	yes	characteristic, complemented
32	C₁₇×#123	C₄	1	1	yes	characteristic
33	#10587623	C₄	1	1	yes	characteristic
34	#10587615	C₄	1	1	yes	characteristic
35	#10587582	C₄	1	1	yes	characteristic
36	#10587582	C₄	1	1	yes	characteristic
37	#10587579	C₂²	1	1	yes	characteristic
38	#10587579	C₂²	1	1	yes	characteristic
39	#10587570	C₄	1	1	yes	characteristic
40	#10587570	C₄	1	1	yes	characteristic
41	#10587568	C₄	1	1	yes	characteristic
42	#10587567	C₂²	1	1	yes	characteristic
43	#10587567	C₂²	1	1	yes	characteristic
44	#10587563	C₂²	1	1	yes	characteristic
45	C₂²⋊#3624	C₂²	1	1	yes	characteristic, complemented
46	C₂²⋊#3624	C₂²	1	1	yes	characteristic, complemented
47	#10587544	C₂²	1	1	yes	characteristic, complemented
48	#10587544	C₂²	1	1	yes	characteristic, complemented
49	#10587543	C₂²	1	1	yes	characteristic
50	#10587543	C₂²	1	1	yes	characteristic
51	#10587543	C₂²	1	1	yes	characteristic
52	#10587543	C₂²	1	1	yes	characteristic
53	#10587543	C₂²	1	1	yes	characteristic, complemented
54	#10587543	C₂²	1	1	yes	characteristic, complemented
55	#10587542	C₂²	1	1	yes	characteristic, complemented
56	#10587542	C₂²	1	1	yes	characteristic, complemented
57	C₄⋊#3624	C₂²	1	1	yes	characteristic, complemented
58	C₄⋊#3624	C₂²	1	1	yes	characteristic, complemented
59	C₄×#3624	C₂²	1	1	yes	characteristic, complemented
60	C₄×#3624	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₁₇	C₂×C₄	1	1	yes	characteristic
62	C₂×D₄×C₁₇	C₂×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₇	C₂×C₄	1	1	yes	characteristic
64	C₂×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
65	C₂×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
66	C₂×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
67	C₂×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
68	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
69	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
70	#63254	—	2	2	no	—
71	#63254	—	2	2	no	—
72	C₂×D₆₈	C₂×C₄	1	1	yes	characteristic
73	C₂×D₆₈	C₂×C₄	1	1	yes	characteristic
74	C₂×C₄×D₁₇	—	2	2	no	—
75	C₂×C₄×D₁₇	—	2	2	no	—
76	C₂×C₄×D₁₇	C₂×C₄	1	1	yes	characteristic
77	C₂×C₄×D₁₇	C₂×C₄	1	1	yes	characteristic
78	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
79	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
81	C₂×Dic₃₄	C₂×C₄	1	1	yes	characteristic
82	#63247	—	2	2	no	—
83	#63247	—	2	2	no	—
84	#63247	D₄	1	4	yes	complemented
85	C₂×#3624	—	2	2	no	—
86	C₂×#3624	—	2	2	no	—
87	C₂×#3624	—	2	2	no	—
88	C₂×#3624	C₂³	1	1	yes	characteristic
89	C₂×#3624	C₂³	1	1	yes	characteristic
90	C₂×#3624	C₂³	1	1	yes	characteristic
91	C₂×#3624	C₂³	1	1	yes	characteristic
92	C₂×#3624	C₂³	1	1	yes	characteristic
93	C₂×#3624	C₂³	1	1	yes	characteristic
94	C₂×#3624	C₂³	1	1	yes	characteristic
95	C₂×#3624	C₂³	1	1	yes	characteristic
96	#63243	—	2	2	no	—
97	#63243	—	2	2	no	—
98	#63243	—	2	2	no	—
99	#63242	—	2	2	no	—
100	#63242	—	2	2	no	—
101	#63242	—	2	2	no	—
102	C₄⋊C₄×C₁₇	C₂×C₄	1	1	yes	characteristic
103	C₄⋊C₄×C₁₇	C₂×C₄	1	1	yes	characteristic
104	C₂²⋊C₄×C₁₇	C₂×C₄	1	1	yes	characteristic
105	C₂²⋊C₄×C₁₇	C₂×C₄	1	1	yes	characteristic
106	C₂²⋊C₄×C₁₇	C₂×C₄	1	1	yes	characteristic
107	C₂²⋊Dic₁₇	C₂×C₄	1	1	yes	characteristic
108	#63227	C₂×C₄	1	1	yes	characteristic
109	#63227	C₂×C₄	1	1	yes	characteristic
110	#63227	C₂×C₄	1	1	yes	characteristic
111	#63227	C₂×C₄	1	1	yes	characteristic
112	#63227	C₂×C₄	1	1	yes	characteristic
113	#63227	C₂×C₄	1	1	yes	characteristic
114	#63225	C₂×C₄	1	1	yes	characteristic
115	#63225	C₂×C₄	1	1	yes	characteristic
116	#63225	C₂×C₄	1	1	yes	characteristic
117	#63225	C₂×C₄	1	1	yes	characteristic
118	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
119	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
120	C₂³×C₁₇	C₂²×C₄	1	1	yes	characteristic
121	C₂³×C₁₇	C₂²×C₄	1	1	yes	characteristic
122	C₂²×D₁₇	—	2	2	no	—
123	C₂²×D₁₇	—	2	2	no	—
124	C₂²×D₁₇	—	4	1	no	—
125	C₂²×D₁₇	C₂²×C₄	1	1	yes	characteristic
126	C₂²×D₁₇	C₂²×C₄	1	1	yes	characteristic
127	C₂²×D₁₇	C₂²×C₄	1	1	yes	characteristic
128	D₄×C₁₇	—	2	2	no	—
129	C₂×C₄×C₁₇	—	2	2	no	—
130	C₂×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
131	C₂×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
132	C₂×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
133	C₂×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
134	C₂×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
135	C₂²⋊D₁₇	—	2	2	no	—
136	C₂²⋊D₁₇	—	2	2	no	—
137	C₂²⋊D₁₇	—	2	2	no	—
138	C₂²⋊D₁₇	—	4	1	no	—
139	C₂×Dic₁₇	—	2	1	no	—
140	C₂×Dic₁₇	—	2	1	no	—
141	C₂×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
142	C₂×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
143	C₂×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
144	C₂×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
145	C₂×Dic₁₇	C₂×D₄	1	2	yes	—
146	C₂×Dic₁₇	#41	1	2	yes	—
147	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
148	D₆₈	—	2	2	no	—
149	D₆₈	—	4	1	no	—
150	C₄×D₁₇	—	2	2	no	—
151	C₄×D₁₇	—	2	2	no	—
152	C₄×D₁₇	—	2	1	no	—
153	C₄×D₁₇	—	2	1	no	—
154	C₄×D₁₇	—	2	1	no	—
155	C₄×D₁₇	—	2	1	no	—
156	C₄×D₁₇	—	2	1	no	—
157	C₄×D₁₇	—	2	1	no	—
158	Dic₃₄	—	2	2	no	—
159	#3624	—	2	1	no	—
160	#3624	—	2	1	no	—
161	#3624	—	2	1	no	—
162	#3624	—	2	1	no	—
163	#3624	—	2	1	no	—
164	#3624	—	2	1	no	—
165	#3624	C₂×D₄	1	2	yes	—
166	#3624	C₂×D₄	1	2	yes	—
167	#2933	—	17	1	no	maximal, Sylow
168	C₂²×C₁₇	—	2	1	no	—
169	C₂²×C₁₇	—	2	1	no	—
170	C₂²×C₁₇	—	2	1	no	—
171	C₂²×C₁₇	—	2	1	no	—
172	C₂²×C₁₇	—	2	1	no	—
173	C₂²×C₁₇	C₄×D₄	1	2	yes	—
174	C₂²×C₁₇	C₂³×C₄	1	1	yes	characteristic
175	C₂×D₁₇	—	2	1	no	—
176	C₂×D₁₇	—	2	1	no	—
177	C₂×D₁₇	—	2	1	no	—
178	C₂×D₁₇	—	2	1	no	—
179	C₂×D₁₇	—	2	1	no	—
180	C₂×D₁₇	—	2	1	no	—
181	C₂×D₁₇	—	2	1	no	—
182	C₂×D₁₇	—	2	1	no	—
183	C₂×D₁₇	—	4	4	no	—
184	C₂×D₁₇	#131	1	2	yes	complemented
185	C₄×C₁₇	—	2	1	no	—
186	C₄×C₁₇	—	2	1	no	—
187	C₄×C₁₇	—	2	1	no	—
188	C₄×C₁₇	—	2	1	no	—
189	C₄×C₁₇	—	2	1	no	—
190	Dic₁₇	—	2	1	no	—
191	Dic₁₇	—	2	1	no	—
192	Dic₁₇	—	2	1	no	—
193	Dic₁₇	C₄×D₄	1	2	yes	—
194	Dic₁₇	C₂²×D₄	1	1	yes	characteristic
195	Dic₁₇	C₂×#41	1	1	yes	characteristic
196	C₂×#131	—	17	1	no	—
197	C₂²×M₁₆	—	17	1	no	—
198	#525	—	17	1	no	—
199	#436	—	17	1	no	—
200	#436	—	17	1	no	—
201	#435	—	17	1	no	—
202	#435	—	17	1	no	—
203	#435	—	17	1	no	—
204	#435	—	17	1	no	—
205	C₈×D₄	—	17	1	no	—
206	C₈×D₄	—	17	1	no	—
207	#424	—	17	1	no	—
208	#408	—	17	1	no	—
209	C₂×C₂²⋊C₈	—	17	1	no	—
210	#405	—	17	1	no	—
211	C₂×C₁₇	—	2	2	no	—
212	C₂×C₁₇	—	4	1	no	—
213	C₂×C₁₇	C₂×C₄×D₄	1	1	yes	characteristic
214	C₂×C₁₇	C₂×#131	1	1	yes	characteristic
215	C₂×C₁₇	#568	1	1	yes	characteristic
216	D₁₇	—	2	2	no	—
217	D₁₇	—	4	1	no	—
218	D₁₇	—	4	1	no	—
219	C₂×#41	—	17	1	no	—
220	C₂³×C₄	—	17	1	no	—
221	#131	—	34	4	no	—
222	C₂×M₁₆	—	17	1	no	—
223	C₂×M₁₆	—	17	1	no	—
224	C₂×M₁₆	—	17	1	no	—
225	C₂×M₁₆	—	17	1	no	—
226	C₂×M₁₆	—	17	1	no	—
227	C₂×M₁₆	—	17	1	no	—
228	C₂×M₁₆	—	34	4	no	—
229	C₂²×C₈	—	17	1	no	—
230	C₂²×C₈	—	17	1	no	—
231	C₂²×C₈	—	17	1	no	—
232	C₂²×C₈	—	17	1	no	—
233	C₂²×C₈	—	17	1	no	—
234	C₂²×C₈	—	17	1	no	—
235	#123	—	17	1	no	—
236	#123	#595	1	1	yes	characteristic
237	C₂²⋊Q₈	—	17	1	no	—
238	C₂²⋊Q₈	—	17	1	no	—
239	#121	—	17	1	no	—
240	#121	—	17	1	no	—
241	#120	—	17	1	no	—
242	#120	—	17	1	no	—
243	C₄×D₄	—	17	1	no	—
244	C₄×D₄	—	17	1	no	—
245	C₄×D₄	—	17	1	no	—
246	C₄×D₄	—	17	1	no	—
247	#117	—	17	1	no	—
248	C₄⋊C₈	—	17	1	no	—
249	C₄⋊C₈	—	17	1	no	—
250	C₄⋊C₈	—	17	1	no	—
251	C₄⋊C₈	—	17	1	no	—
252	C₂²⋊C₈	—	17	1	no	—
253	C₂²⋊C₈	—	17	1	no	—
254	C₂²⋊C₈	—	17	1	no	—
255	C₂²⋊C₈	—	17	1	no	—
256	C₂²⋊C₈	—	17	1	no	—
257	C₂²⋊C₈	—	17	1	no	—
258	C₂²⋊C₈	—	17	1	no	—
259	C₂²⋊C₈	—	17	1	no	—
260	#97	—	17	1	no	—
261	#97	—	17	1	no	—
262	C₄×C₈	—	17	1	no	—
263	C₄×C₈	—	17	1	no	—
264	C₁₇	#2933	1	1	yes	characteristic, complemented, Sylow
265	C₂⁴	—	17	1	no	—
266	#41	—	34	2	no	—
267	#41	—	34	2	no	—
268	C₂×Q₈	—	17	1	no	—
269	C₂×D₄	—	17	1	no	—
270	C₂×D₄	—	17	1	no	—
271	C₂×D₄	—	17	1	no	—
272	C₂×D₄	—	17	1	no	—
273	C₂×D₄	—	17	1	no	—
274	C₂×D₄	—	17	1	no	—
275	C₂×D₄	C₂×#595	1	1	yes	characteristic
276	C₂²×C₄	—	17	1	no	—
277	C₂²×C₄	—	17	1	no	—
278	C₂²×C₄	—	17	1	no	—
279	C₂²×C₄	—	17	1	no	—
280	C₂²×C₄	—	17	1	no	—
281	C₂²×C₄	—	17	1	no	—
282	C₂²×C₄	—	17	1	no	—
283	C₂²×C₄	—	34	2	no	—
284	C₂²×C₄	—	34	2	no	—
285	C₂²×C₄	C₂×#595	1	1	yes	characteristic
286	M₁₆	—	17	4	no	—
287	M₁₆	—	34	2	no	—
288	M₁₆	—	34	2	no	—
289	M₁₆	—	34	2	no	—
290	M₁₆	—	34	2	no	—
291	M₁₆	—	34	2	no	—
292	C₂×C₈	—	17	1	no	—
293	C₂×C₈	—	17	1	no	—
294	C₂×C₈	—	17	1	no	—
295	C₂×C₈	—	17	1	no	—
296	C₂×C₈	—	17	1	no	—
297	C₂×C₈	—	17	1	no	—
298	C₂×C₈	—	17	1	no	—
299	C₂×C₈	—	17	1	no	—
300	C₂×C₈	—	34	2	no	—
301	C₂×C₈	—	34	2	no	—
302	C₂×C₈	—	34	2	no	—
303	C₂×C₈	—	34	2	no	—
304	C₂×C₈	—	34	2	no	—
305	C₂×C₈	—	34	2	no	—
306	C₄⋊C₄	—	17	1	no	—
307	C₄⋊C₄	—	17	1	no	—
308	C₄⋊C₄	—	17	1	no	—
309	C₄⋊C₄	—	17	1	no	—
310	C₄⋊C₄	C₂×#595	1	1	yes	characteristic
311	C₄⋊C₄	C₂×#595	1	1	yes	characteristic
312	C₂²⋊C₄	—	17	1	no	—
313	C₂²⋊C₄	—	17	1	no	—
314	C₂²⋊C₄	—	17	1	no	—
315	C₂²⋊C₄	—	17	1	no	—
316	C₂²⋊C₄	—	17	1	no	—
317	C₂²⋊C₄	—	17	1	no	—
318	C₂²⋊C₄	—	17	1	no	—
319	C₂²⋊C₄	C₂×#595	1	1	yes	characteristic
320	C₂²⋊C₄	C₂×#595	1	1	yes	characteristic
321	C₂²⋊C₄	C₂×#595	1	1	yes	characteristic
322	C₄²	—	17	1	no	—
323	C₄²	—	17	1	no	—
324	C₂³	—	17	1	no	—
325	C₂³	—	17	1	no	—
326	C₂³	—	17	1	no	—
327	C₂³	—	34	2	no	—
328	C₂³	—	34	2	no	—
329	C₂³	—	68	1	no	—
330	C₂³	C₂²×#595	1	1	yes	characteristic
331	C₂³	C₂²×#595	1	1	yes	characteristic
332	Q₈	—	34	2	no	—
333	D₄	—	2	2	no	—
334	D₄	—	34	2	no	—
335	D₄	—	34	2	no	—
336	D₄	—	34	2	no	—
337	D₄	—	34	2	no	—
338	D₄	—	68	1	no	—
339	D₄	—	68	1	no	—
340	C₂×C₄	—	2	2	no	—
341	C₂×C₄	—	17	2	no	—
342	C₂×C₄	—	17	2	no	—
343	C₂×C₄	—	17	1	no	—
344	C₂×C₄	—	17	1	no	—
345	C₂×C₄	—	17	1	no	—
346	C₂×C₄	—	17	1	no	—
347	C₂×C₄	—	17	1	no	—
348	C₂×C₄	—	34	1	no	—
349	C₂×C₄	—	34	1	no	—
350	C₂×C₄	—	34	1	no	—
351	C₂×C₄	—	34	1	no	—
352	C₂×C₄	—	34	1	no	—
353	C₂×C₄	—	34	2	no	—
354	C₂×C₄	—	34	2	no	—
355	C₂×C₄	—	34	1	no	—
356	C₂×C₄	—	34	1	no	—
357	C₂×C₄	—	34	1	no	—
358	C₂×C₄	C₂²×#595	1	1	yes	characteristic
359	C₂×C₄	C₂²×#595	1	1	yes	characteristic
360	C₂×C₄	C₂²×#595	1	1	yes	characteristic
361	C₂×C₄	C₂²×#595	1	1	yes	characteristic
362	C₂×C₄	C₂²×#595	1	1	yes	characteristic
363	C₈	—	17	2	no	—
364	C₈	—	17	2	no	—
365	C₈	—	34	1	no	—
366	C₈	—	34	1	no	—
367	C₈	—	34	1	no	—
368	C₈	—	34	1	no	—
369	C₈	—	34	1	no	—
370	C₈	—	34	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	17	2	no	—
377	C₂²	—	34	1	no	—
378	C₂²	—	34	1	no	—
379	C₂²	—	34	1	no	—
380	C₂²	—	34	1	no	—
381	C₂²	—	34	1	no	—
382	C₂²	—	34	1	no	—
383	C₂²	—	34	1	no	—
384	C₂²	—	34	1	no	—
385	C₂²	—	68	4	no	—
386	C₂²	D₄×#595	1	2	yes	—
387	C₂²	C₂³×#595	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	17	1	no	—
394	C₄	—	17	1	no	—
395	C₄	—	17	2	no	—
396	C₄	—	34	1	no	—
397	C₄	—	34	1	no	—
398	C₄	—	34	1	no	—
399	C₂	—	2	2	no	—
400	C₂	—	4	1	no	—
401	C₂	—	34	2	no	—
402	C₂	—	68	1	no	—
403	C₂	—	68	1	no	—
404	C₂	C₂×D₄×#595	1	1	yes	characteristic
405	C₂	D₁₇⋊#131	1	1	yes	characteristic
406	C₂	#11763888	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×#595
commutator, socle	C₂²×C₁₇	C₂³×C₄
Fitting	C₁₇×#123	C₄
prime radical	#11763317	C₂
cosocle	C₂×Dic₁₇	C₂⁴
hypercenter	#123	#595
hypocenter	C₁₇	#2933
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #123

Complements

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

N	H ≅ G/N	type
1. C₂×#10587678	C₂	semidirect
2. C₂×D₁₇⋊M₁₆	C₂	semidirect
3. #11763843	C₂	semidirect
4. #11763842	C₂	semidirect
5. #11763841	C₂	semidirect
6. #11763839	C₂	semidirect
7. #11763839	C₂	semidirect
8. #11763838	C₂	semidirect
9. #11763837	C₂	semidirect
10. #11763836	C₂	semidirect
11. #11763815	C₂	semidirect
12. #11763782	C₂	semidirect
13. C₂×#10587543	C₂	semidirect
14. #11763773	C₂	semidirect
20. C₂×#63247	C₂²	semidirect
23. C₂²×#3624	C₂²	semidirect
28. C₂×#63243	C₂²	semidirect
31. C₂×#63242	C₂²	semidirect
45. C₂²⋊#3624	C₂²	semidirect
46. C₂²⋊#3624	C₂²	semidirect
47. #10587544	C₂²	semidirect
48. #10587544	C₂²	semidirect
53. #10587543	C₂²	semidirect
54. #10587543	C₂²	semidirect
55. #10587542	C₂²	semidirect
56. #10587542	C₂²	semidirect
57. C₄⋊#3624	C₂²	semidirect
58. C₄⋊#3624	C₂²	semidirect
59. C₄×#3624	C₂²	semidirect
60. C₄×#3624	C₂²	semidirect
84. #63247	D₄	semidirect
184. C₂×D₁₇	#131	semidirect
264. C₁₇	#2933	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10587678	2
C₂×D₁₇⋊M₁₆	2
#11763843	2
#11763842	2
#11763841	2
#11763839	2
#11763838	2
#11763837	2
#11763836	2
#11763815	2
#11763782	2
C₂×#10587543	2
#11763773	2
#11763317	2
#2933	17