Subgroups — #14540919

Order 2176.

462 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×D₆₈	C₂	1	1	yes	maximal, characteristic, complemented
2	#11763175	C₂	1	1	yes	maximal, characteristic, complemented
3	#11763133	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763127	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763106	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763060	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763043	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763004	C₂	1	1	yes	maximal, characteristic, complemented
9	#11762942	C₂	1	1	yes	maximal, characteristic, complemented
10	#11762942	C₂	1	1	yes	maximal, characteristic, complemented
11	#11762919	C₂	1	1	yes	maximal, characteristic, complemented
12	#11762881	C₂	1	1	yes	maximal, characteristic, complemented
13	#11762813	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#10587480	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₄×D₁₇	—	2	1	no	—
17	C₂²×D₆₈	C₂²	1	1	yes	characteristic
18	C₂²×D₆₈	C₂²	1	1	yes	characteristic
19	C₁₇×#126	—	2	1	no	—
20	C₁₇×#125	C₂²	1	1	yes	characteristic, complemented
21	C₁₇×#123	—	2	1	no	—
22	C₁₇×#121	—	2	1	no	—
23	C₁₇×#121	C₂²	1	1	yes	characteristic, complemented
24	C₁₇×#121	C₂²	1	1	yes	characteristic, complemented
25	C₄×D₄×C₁₇	—	2	1	no	—
26	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
27	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
28	C₁₇×#117	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
30	C₂×#63228	C₂²	1	1	yes	characteristic
31	C₂×#63228	C₂²	1	1	yes	characteristic, complemented
32	C₂×#63228	C₂²	1	1	yes	characteristic, complemented
33	#10587616	C₂²	1	1	yes	characteristic
34	#10587616	C₂²	1	1	yes	characteristic
35	C₂×#63223	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#3622	C₂²	1	1	yes	characteristic, complemented
37	#10587581	—	2	1	no	—
38	#10587568	—	2	1	no	—
39	#10587568	—	2	1	no	—
40	#10587560	C₂²	1	1	yes	characteristic
41	C₄×D₆₈	C₂²	1	1	yes	characteristic
42	#10587503	C₂²	1	1	yes	characteristic, complemented
43	C₂²⋊#3622	C₂²	1	1	yes	characteristic, complemented
44	C₂²⋊#3622	C₂²	1	1	yes	characteristic, complemented
45	#10587480	C₂²	1	1	yes	characteristic
46	#10587480	C₂²	1	1	yes	characteristic
47	#10587480	C₂²	1	1	yes	characteristic
48	#10587480	C₂²	1	1	yes	characteristic, complemented
49	#10587480	C₂²	1	1	yes	characteristic, complemented
50	#10587480	C₂²	1	1	yes	characteristic, complemented
51	#10587480	C₂²	1	1	yes	characteristic, complemented
52	#10587480	C₂²	1	1	yes	characteristic, complemented
53	#10587480	C₂²	1	1	yes	characteristic, complemented
54	#10587479	C₂²	1	1	yes	characteristic, complemented
55	#10587479	C₂²	1	1	yes	characteristic, complemented
56	#10587478	C₂²	1	1	yes	characteristic, complemented
57	C₄⋊#3622	C₂²	1	1	yes	characteristic, complemented
58	#10587474	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₇	—	2	1	no	—
60	C₂³×D₁₇	—	2	1	no	—
61	C₂×D₄×C₁₇	—	2	1	no	—
62	C₂×D₄×C₁₇	—	2	1	no	—
63	C₂×D₄×C₁₇	D₄	1	1	yes	characteristic
64	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₁₇	—	2	1	no	—
66	C₂²×C₄×C₁₇	—	2	1	no	—
67	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
69	C₂×C₂²⋊D₁₇	—	2	1	no	—
70	C₂×C₂²⋊D₁₇	—	2	1	no	—
71	D₄×D₁₇	—	4	4	no	—
72	C₂×D₆₈	—	2	2	no	—
73	C₂×D₆₈	—	2	2	no	—
74	C₂×D₆₈	—	2	1	no	—
75	C₂×D₆₈	—	2	1	no	—
76	C₂×D₆₈	—	2	1	no	—
77	C₂×D₆₈	—	2	1	no	—
78	C₂×D₆₈	—	4	1	no	—
79	C₂×D₆₈	—	4	1	no	—
80	C₂×D₆₈	C₂³	1	1	yes	characteristic
81	C₂×D₆₈	C₂³	1	1	yes	characteristic
82	C₂×D₆₈	C₂³	1	1	yes	characteristic
83	C₂×C₄×D₁₇	—	2	1	no	—
84	C₄⋊C₄×C₁₇	—	2	1	no	—
85	C₄⋊C₄×C₁₇	—	2	1	no	—
86	C₄⋊C₄×C₁₇	—	2	1	no	—
87	C₄⋊C₄×C₁₇	D₄	1	1	yes	characteristic
88	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
89	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
90	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
91	C₂²⋊C₄×C₁₇	—	2	1	no	—
92	C₂²⋊C₄×C₁₇	—	2	1	no	—
93	C₂²⋊C₄×C₁₇	—	2	1	no	—
94	C₂²⋊C₄×C₁₇	—	2	1	no	—
95	C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
96	C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
97	C₄²×C₁₇	—	2	1	no	—
98	C₄²×C₁₇	C₂³	1	1	yes	characteristic
99	#63228	—	2	2	no	—
100	#63228	—	4	1	no	—
101	#63228	—	4	1	no	—
102	#63227	—	2	1	no	—
103	#63227	—	2	1	no	—
104	#63227	—	2	1	no	—
105	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
106	#63223	—	4	1	no	—
107	C₂×#3622	—	4	1	no	—
108	C₂×#3622	C₂³	1	1	yes	characteristic
109	C₂×#3622	C₂³	1	1	yes	characteristic
110	C₂×#3622	C₂³	1	1	yes	characteristic
111	C₂×#3622	C₂³	1	1	yes	characteristic
112	C₂³×C₁₇	—	2	1	no	—
113	C₂³×C₁₇	C₂×D₄	1	1	yes	characteristic
114	C₂³×C₁₇	C₂×D₄	1	1	yes	characteristic
115	C₂²×D₁₇	—	2	1	no	—
116	C₂²×D₁₇	—	2	1	no	—
117	C₂²×D₁₇	—	2	1	no	—
118	C₂²×D₁₇	—	4	2	no	—
119	C₂²×D₁₇	—	4	2	no	—
120	C₂²×D₁₇	—	4	2	no	—
121	C₂²×D₁₇	—	4	2	no	—
122	C₂²×D₁₇	—	8	1	no	—
123	C₂²×D₁₇	—	8	1	no	—
124	D₄×C₁₇	—	2	2	no	—
125	D₄×C₁₇	—	2	1	no	—
126	D₄×C₁₇	—	2	1	no	—
127	D₄×C₁₇	—	4	2	no	—
128	D₄×C₁₇	—	8	1	no	—
129	C₂×C₄×C₁₇	—	2	1	no	—
130	C₂×C₄×C₁₇	—	2	1	no	—
131	C₂×C₄×C₁₇	—	2	1	no	—
132	C₂×C₄×C₁₇	—	2	1	no	—
133	C₂×C₄×C₁₇	—	2	1	no	—
134	C₂×C₄×C₁₇	—	2	1	no	—
135	C₂×C₄×C₁₇	—	2	1	no	—
136	C₂×C₄×C₁₇	—	8	1	no	—
137	C₂×C₄×C₁₇	—	8	1	no	—
138	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
141	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
142	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
143	C₂²⋊D₁₇	—	4	2	no	—
144	C₂²⋊D₁₇	—	4	2	no	—
145	C₂×Dic₁₇	—	2	1	no	—
146	D₆₈	—	2	1	no	—
147	D₆₈	—	2	1	no	—
148	D₆₈	—	2	1	no	—
149	D₆₈	—	2	1	no	—
150	D₆₈	—	2	1	no	—
151	D₆₈	—	4	2	no	—
152	D₆₈	—	4	2	no	—
153	D₆₈	—	4	2	no	—
154	D₆₈	—	8	1	no	—
155	D₆₈	#41	1	2	yes	—
156	C₄×D₁₇	—	4	2	no	—
157	#3622	—	2	1	no	—
158	#3622	—	2	1	no	—
159	#3622	—	2	1	no	—
160	#3622	—	2	1	no	—
161	#3318	—	17	1	no	maximal, Sylow
162	C₂²×C₁₇	—	2	1	no	—
163	C₂²×C₁₇	—	2	1	no	—
164	C₂²×C₁₇	—	2	1	no	—
165	C₂²×C₁₇	—	2	1	no	—
166	C₂²×C₁₇	—	2	1	no	—
167	C₂²×C₁₇	—	4	1	no	—
168	C₂²×C₁₇	—	4	1	no	—
169	C₂²×C₁₇	—	4	1	no	—
170	C₂²×C₁₇	AGL(1,ℤ/8)	1	2	yes	—
171	C₂²×C₁₇	C₂²×D₄	1	1	yes	characteristic
172	C₂×D₁₇	—	2	2	no	—
173	C₂×D₁₇	—	4	1	no	—
174	C₂×D₁₇	—	4	1	no	—
175	C₂×D₁₇	—	4	1	no	—
176	C₂×D₁₇	—	4	1	no	—
177	C₂×D₁₇	—	4	1	no	—
178	C₂×D₁₇	—	4	1	no	—
179	C₂×D₁₇	—	4	1	no	—
180	C₂×D₁₇	—	4	1	no	—
181	C₂×D₁₇	—	8	4	no	—
182	C₂×D₁₇	—	8	4	no	—
183	C₄×C₁₇	—	2	1	no	—
184	C₄×C₁₇	—	2	1	no	—
185	C₄×C₁₇	—	2	1	no	—
186	C₄×C₁₇	—	2	1	no	—
187	C₄×C₁₇	—	4	1	no	—
188	C₄×C₁₇	—	4	1	no	—
189	C₄×C₁₇	—	4	1	no	—
190	C₄×C₁₇	C₂×#41	1	1	yes	characteristic
191	C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
192	Dic₁₇	—	4	1	no	—
193	#553	D₁₇	1	1	yes	characteristic, complemented
194	D₄²	—	17	1	no	—
195	#490	—	17	1	no	—
196	#482	—	17	1	no	—
197	#481	—	17	1	no	—
198	#478	—	17	1	no	—
199	#469	—	17	1	no	—
200	#466	—	17	1	no	—
201	#459	—	17	1	no	—
202	#447	—	17	1	no	—
203	#447	—	17	1	no	—
204	#442	—	17	1	no	—
205	#435	—	17	1	no	—
206	#418	—	17	1	no	—
207	C₂×#102	—	17	1	no	—
208	C₂×C₁₇	—	2	2	no	—
209	C₂×C₁₇	—	4	1	no	—
210	C₂×C₁₇	—	8	1	no	—
211	C₂×C₁₇	#546	1	1	yes	characteristic
212	C₂×C₁₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
213	C₂×C₁₇	#576	1	1	yes	characteristic
214	D₁₇	—	4	2	no	—
215	D₁₇	—	8	1	no	—
216	D₁₇	—	8	1	no	—
217	C₂²×D₄	—	17	1	no	—
218	C₂²×D₄	—	17	1	no	—
219	C₂²×D₄	—	34	1	no	—
220	C₂×D₈	—	17	1	no	—
221	C₂×D₈	—	17	1	no	—
222	C₂×D₈	—	17	1	no	—
223	C₂×M₁₆	—	17	1	no	—
224	C₂²×C₈	—	17	1	no	—
225	#127	—	17	1	no	—
226	#126	—	2	1	no	—
227	#125	C₂×D₁₇	1	1	yes	characteristic, complemented
228	#123	—	2	1	no	—
229	#121	—	2	1	no	—
230	#121	—	17	1	no	—
231	#121	—	17	1	no	—
232	#121	—	34	1	no	—
233	#121	C₂×D₁₇	1	1	yes	characteristic, complemented
234	#121	C₂×D₁₇	1	1	yes	characteristic, complemented
235	#120	—	34	1	no	—
236	#120	—	34	1	no	—
237	C₄×D₄	—	2	1	no	—
238	C₄×D₄	—	17	1	no	—
239	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
240	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic, complemented
241	#117	C₂×D₁₇	1	1	yes	characteristic, complemented
242	C₂×C₄⋊C₄	C₂×D₁₇	1	1	yes	characteristic, complemented
243	#107	—	17	1	no	—
244	#106	—	17	1	no	—
245	#106	—	17	1	no	—
246	C₄⋊C₈	—	17	1	no	—
247	#102	—	17	1	no	—
248	#102	—	17	1	no	—
249	#102	—	17	1	no	—
250	#102	—	17	1	no	—
251	#102	—	17	1	no	—
252	#102	—	17	1	no	—
253	#102	—	17	1	no	—
254	#102	—	17	1	no	—
255	#102	—	17	1	no	—
256	#102	—	17	1	no	—
257	C₂²⋊C₈	—	17	1	no	—
258	C₂²⋊C₈	—	17	1	no	—
259	#97	—	17	1	no	—
260	C₁₇	#3318	1	1	yes	characteristic, complemented, Sylow
261	C₂⁴	—	34	1	no	—
262	C₂⁴	—	34	1	no	—
263	C₂×D₄	—	2	1	no	—
264	C₂×D₄	—	2	1	no	—
265	C₂×D₄	—	17	1	no	—
266	C₂×D₄	—	17	1	no	—
267	C₂×D₄	—	17	1	no	—
268	C₂×D₄	—	34	2	no	—
269	C₂×D₄	—	34	2	no	—
270	C₂×D₄	—	34	1	no	—
271	C₂×D₄	—	34	1	no	—
272	C₂×D₄	—	34	1	no	—
273	C₂×D₄	—	34	1	no	—
274	C₂×D₄	—	34	1	no	—
275	C₂×D₄	—	34	1	no	—
276	C₂×D₄	—	68	1	no	—
277	C₂×D₄	—	68	1	no	—
278	C₂×D₄	—	68	4	no	—
279	C₂×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
280	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
281	C₂²×C₄	—	2	1	no	—
282	C₂²×C₄	—	2	1	no	—
283	C₂²×C₄	—	34	1	no	—
284	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
285	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
286	D₈	—	34	2	no	—
287	D₈	—	68	1	no	—
288	D₈	—	68	1	no	—
289	M₁₆	—	68	1	no	—
290	C₂×C₈	—	17	1	no	—
291	C₂×C₈	—	17	1	no	—
292	C₂×C₈	—	17	1	no	—
293	C₂×C₈	—	17	1	no	—
294	C₂×C₈	—	68	1	no	—
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	2	1	no	—
297	C₄⋊C₄	—	2	1	no	—
298	C₄⋊C₄	—	17	1	no	—
299	C₄⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
300	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
301	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
302	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
303	C₂²⋊C₄	—	2	1	no	—
304	C₂²⋊C₄	—	2	1	no	—
305	C₂²⋊C₄	—	2	1	no	—
306	C₂²⋊C₄	—	2	1	no	—
307	C₂²⋊C₄	—	34	1	no	—
308	C₂²⋊C₄	—	34	1	no	—
309	C₂²⋊C₄	—	34	1	no	—
310	C₂²⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
311	C₂²⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
312	C₄²	—	2	1	no	—
313	C₄²	C₂²×D₁₇	1	1	yes	characteristic
314	C₂³	—	2	1	no	—
315	C₂³	—	34	1	no	—
316	C₂³	—	34	1	no	—
317	C₂³	—	34	1	no	—
318	C₂³	—	68	2	no	—
319	C₂³	—	68	2	no	—
320	C₂³	—	68	2	no	—
321	C₂³	—	68	2	no	—
322	C₂³	—	136	1	no	—
323	C₂³	—	136	1	no	—
324	C₂³	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
325	C₂³	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
326	D₄	—	2	2	no	—
327	D₄	—	2	1	no	—
328	D₄	—	2	1	no	—
329	D₄	—	4	2	no	—
330	D₄	—	8	1	no	—
331	D₄	—	17	2	no	—
332	D₄	—	34	1	no	—
333	D₄	—	34	1	no	—
334	D₄	—	34	1	no	—
335	D₄	—	34	1	no	—
336	D₄	—	34	1	no	—
337	D₄	—	68	2	no	—
338	D₄	—	68	2	no	—
339	D₄	—	68	2	no	—
340	D₄	—	68	2	no	—
341	D₄	—	68	2	no	—
342	D₄	—	136	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	8	1	no	—
351	C₂×C₄	—	8	1	no	—
352	C₂×C₄	—	34	1	no	—
353	C₂×C₄	—	68	2	no	—
354	C₂×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
355	C₂×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
356	C₂×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
357	C₂×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
358	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
359	C₈	—	34	1	no	—
360	C₈	—	34	1	no	—
361	C₈	—	34	1	no	—
362	C₈	—	34	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	4	1	no	—
369	C₂²	—	4	1	no	—
370	C₂²	—	4	1	no	—
371	C₂²	—	34	2	no	—
372	C₂²	—	68	1	no	—
373	C₂²	—	68	1	no	—
374	C₂²	—	68	1	no	—
375	C₂²	—	68	1	no	—
376	C₂²	—	68	1	no	—
377	C₂²	—	68	1	no	—
378	C₂²	—	68	1	no	—
379	C₂²	—	68	1	no	—
380	C₂²	—	136	4	no	—
381	C₂²	—	136	4	no	—
382	C₂²	#10587635	1	2	yes	—
383	C₂²	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
384	C₄	—	2	1	no	—
385	C₄	—	2	1	no	—
386	C₄	—	2	1	no	—
387	C₄	—	2	1	no	—
388	C₄	—	4	1	no	—
389	C₄	—	4	1	no	—
390	C₄	—	4	1	no	—
391	C₄	—	68	1	no	—
392	C₄	#41×D₁₇	1	1	yes	characteristic
393	C₄	#10587696	1	1	yes	characteristic
394	C₂	—	2	2	no	—
395	C₂	—	4	1	no	—
396	C₂	—	8	1	no	—
397	C₂	—	68	2	no	—
398	C₂	—	136	1	no	—
399	C₂	—	136	1	no	—
400	C₂	#11763447	1	1	yes	characteristic
401	C₂	C₂×#10587635	1	1	yes	characteristic
402	C₂	#11763612	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×C₂²⋊D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₇
Fitting	C₁₇×#553	C₂
socle	C₂²×C₁₇	C₂²×D₄
hypercenter	#553	D₁₇
hypocenter	C₁₇	#3318
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #553

Complements

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

N	H ≅ G/N	type
1. D₄×D₆₈	C₂	semidirect
2. #11763175	C₂	semidirect
3. #11763133	C₂	semidirect
4. #11763127	C₂	semidirect
5. #11763106	C₂	semidirect
6. #11763060	C₂	semidirect
7. #11763043	C₂	semidirect
8. #11763004	C₂	semidirect
9. #11762942	C₂	semidirect
10. #11762942	C₂	semidirect
11. #11762919	C₂	semidirect
12. #11762881	C₂	semidirect
13. #11762813	C₂	semidirect
14. C₂×#10587480	C₂	semidirect
15. C₁₇×#553	C₂	semidirect
20. C₁₇×#125	C₂²	semidirect
23. C₁₇×#121	C₂²	semidirect
24. C₁₇×#121	C₂²	semidirect
27. C₄×D₄×C₁₇	C₂²	semidirect
28. C₁₇×#117	C₂²	semidirect
29. C₂×C₄⋊C₄×C₁₇	C₂²	semidirect
31. C₂×#63228	C₂²	semidirect
32. C₂×#63228	C₂²	semidirect
35. C₂×#63223	C₂²	semidirect
36. C₂²×#3622	C₂²	semidirect
42. #10587503	C₂²	semidirect
43. C₂²⋊#3622	C₂²	semidirect
44. C₂²⋊#3622	C₂²	semidirect
48. #10587480	C₂²	semidirect
49. #10587480	C₂²	semidirect
50. #10587480	C₂²	semidirect
51. #10587480	C₂²	semidirect
52. #10587480	C₂²	semidirect
53. #10587480	C₂²	semidirect
54. #10587479	C₂²	semidirect
55. #10587479	C₂²	semidirect
56. #10587478	C₂²	semidirect
57. C₄⋊#3622	C₂²	semidirect
58. #10587474	C₂²	semidirect
193. #553	D₁₇	semidirect
227. #125	C₂×D₁₇	semidirect
233. #121	C₂×D₁₇	semidirect
234. #121	C₂×D₁₇	semidirect
240. C₄×D₄	C₂×D₁₇	semidirect
241. #117	C₂×D₁₇	semidirect
242. C₂×C₄⋊C₄	C₂×D₁₇	semidirect
260. C₁₇	#3318	semidirect

Maximal subgroups

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

subgroup	index
D₄×D₆₈	2
#11763175	2
#11763133	2
#11763127	2
#11763106	2
#11763060	2
#11763043	2
#11763004	2
#11762942	2
#11762919	2
#11762881	2
#11762813	2
C₂×#10587480	2
C₁₇×#553	2
#3318	17