Subgroups — #14540807

Order 2176.

450 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11763499	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×D₆₈	C₂	1	1	yes	maximal, characteristic
3	#11763174	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763134	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763123	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763110	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763055	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763038	C₂	1	1	yes	maximal, characteristic, complemented
9	#11763010	C₂	1	1	yes	maximal, characteristic, complemented
10	#11762962	C₂	1	1	yes	maximal, characteristic, complemented
11	#11762962	C₂	1	1	yes	maximal, characteristic, complemented
12	#11762911	C₂	1	1	yes	maximal, characteristic, complemented
13	#11762815	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#10587492	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#435	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	C₂×M₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
20	C₂²×C₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
21	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
22	#10587621	—	2	1	no	—
23	#10587616	C₂²	1	1	yes	characteristic
24	#10587616	C₂²	1	1	yes	characteristic
25	#10587612	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic, complemented
27	#10587610	C₂²	1	1	yes	characteristic, complemented
28	#10587610	C₂²	1	1	yes	characteristic, complemented
29	C₂×#63219	C₂²	1	1	yes	characteristic
30	C₂×#63219	C₂²	1	1	yes	characteristic, complemented
31	C₂×#63219	C₂²	1	1	yes	characteristic, complemented
32	#10587581	—	2	1	no	—
33	#10587575	—	2	1	no	—
34	#10587568	—	2	1	no	—
35	#10587568	—	2	1	no	—
36	#10587565	—	2	1	no	—
37	#10587563	—	2	1	no	—
38	#10587560	C₂²	1	1	yes	characteristic
39	C₄×D₆₈	C₂²	1	1	yes	characteristic
40	#10587556	C₂²	1	1	yes	characteristic, complemented
41	C₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
42	C₁₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
43	C₁₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
44	C₁₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
45	C₁₇×#97	C₂²	1	1	yes	characteristic, complemented
46	#10587492	C₂²	1	1	yes	characteristic
47	#10587492	C₂²	1	1	yes	characteristic
48	#10587492	C₂²	1	1	yes	characteristic
49	#10587492	C₂²	1	1	yes	characteristic, complemented
50	#10587492	C₂²	1	1	yes	characteristic, complemented
51	#10587492	C₂²	1	1	yes	characteristic, complemented
52	#10587492	C₂²	1	1	yes	characteristic, complemented
53	#10587492	C₂²	1	1	yes	characteristic, complemented
54	#10587492	C₂²	1	1	yes	characteristic, complemented
55	#10587489	C₂²	1	1	yes	characteristic, complemented
56	#10587489	C₂²	1	1	yes	characteristic, complemented
57	#10587488	C₂²	1	1	yes	characteristic, complemented
58	#10587487	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₇	—	2	1	no	—
60	C₂³×D₁₇	—	2	1	no	—
61	C₂×D₄×C₁₇	D₄	1	1	yes	characteristic
62	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
63	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
64	C₂×C₂²⋊D₁₇	—	2	1	no	—
65	C₂×C₂²⋊D₁₇	—	2	1	no	—
66	C₂²×Dic₁₇	—	2	1	no	—
67	D₄×D₁₇	—	4	4	no	—
68	C₂×D₆₈	—	2	2	no	—
69	C₂×D₆₈	—	2	2	no	—
70	C₂×D₆₈	—	2	1	no	—
71	C₂×D₆₈	—	2	1	no	—
72	C₂×D₆₈	—	2	1	no	—
73	C₂×D₆₈	—	2	1	no	—
74	C₂×D₆₈	—	4	1	no	—
75	C₂×D₆₈	—	4	1	no	—
76	C₂×D₆₈	C₂³	1	1	yes	characteristic
77	C₂×D₆₈	C₂³	1	1	yes	characteristic
78	C₂×D₆₈	C₂³	1	1	yes	characteristic
79	C₂×C₄×D₁₇	—	2	1	no	—
80	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
81	M₁₆×C₁₇	—	4	1	no	—
82	C₂×C₈×C₁₇	—	4	1	no	—
83	C₂×C₈×C₁₇	C₂³	1	1	yes	characteristic
84	C₂×C₈×C₁₇	C₂³	1	1	yes	characteristic
85	C₂×C₈×C₁₇	C₂³	1	1	yes	characteristic
86	C₂×C₈×C₁₇	C₂³	1	1	yes	characteristic
87	C₄⋊C₄×C₁₇	D₄	1	1	yes	characteristic
88	C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
89	C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
90	C₄²×C₁₇	C₂³	1	1	yes	characteristic
91	C₂²⋊Dic₁₇	—	2	1	no	—
92	C₂²⋊Dic₁₇	—	2	1	no	—
93	C₂²⋊Dic₁₇	—	2	1	no	—
94	#63227	—	2	1	no	—
95	#63227	—	2	1	no	—
96	#63227	—	2	1	no	—
97	C₄⋊Dic₁₇	—	2	1	no	—
98	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
99	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
100	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
101	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
102	#63225	—	2	1	no	—
103	#63225	—	2	1	no	—
104	#63225	—	2	1	no	—
105	#63225	—	2	1	no	—
106	#63225	—	2	1	no	—
107	C₄×Dic₁₇	—	2	1	no	—
108	C₄×Dic₁₇	—	2	1	no	—
109	#63219	—	2	2	no	—
110	#63219	—	4	1	no	—
111	#63219	—	4	1	no	—
112	C₂³×C₁₇	C₂×D₄	1	1	yes	characteristic
113	C₂³×C₁₇	C₂×D₄	1	1	yes	characteristic
114	C₂²×D₁₇	—	2	1	no	—
115	C₂²×D₁₇	—	2	1	no	—
116	C₂²×D₁₇	—	2	1	no	—
117	C₂²×D₁₇	—	4	2	no	—
118	C₂²×D₁₇	—	4	2	no	—
119	C₂²×D₁₇	—	4	2	no	—
120	C₂²×D₁₇	—	4	2	no	—
121	C₂²×D₁₇	—	8	1	no	—
122	C₂²×D₁₇	—	8	1	no	—
123	D₄×C₁₇	—	2	2	no	—
124	C₂×C₄×C₁₇	—	2	1	no	—
125	C₂×C₄×C₁₇	—	2	1	no	—
126	C₂×C₄×C₁₇	—	2	1	no	—
127	C₂×C₄×C₁₇	—	2	1	no	—
128	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
129	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
130	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
132	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
133	C₂²⋊D₁₇	—	4	2	no	—
134	C₂²⋊D₁₇	—	4	2	no	—
135	C₂×Dic₁₇	—	2	1	no	—
136	C₂×Dic₁₇	—	2	1	no	—
137	C₂×Dic₁₇	—	2	1	no	—
138	C₂×Dic₁₇	—	2	1	no	—
139	C₂×Dic₁₇	—	2	1	no	—
140	C₂×Dic₁₇	—	4	2	no	—
141	D₆₈	—	2	1	no	—
142	D₆₈	—	2	1	no	—
143	D₆₈	—	2	1	no	—
144	D₆₈	—	2	1	no	—
145	D₆₈	—	2	1	no	—
146	D₆₈	—	4	2	no	—
147	D₆₈	—	4	2	no	—
148	D₆₈	—	4	2	no	—
149	D₆₈	—	8	1	no	—
150	D₆₈	#41	1	2	yes	—
151	C₄×D₁₇	—	4	2	no	—
152	Dic₃₄	—	2	1	no	—
153	Dic₃₄	—	2	1	no	—
154	C₈×C₁₇	—	2	1	no	—
155	C₈×C₁₇	—	2	1	no	—
156	C₈×C₁₇	—	2	1	no	—
157	C₈×C₁₇	—	2	1	no	—
158	#3310	—	17	1	no	maximal, Sylow
159	C₂²×C₁₇	—	2	1	no	—
160	C₂²×C₁₇	—	2	1	no	—
161	C₂²×C₁₇	—	2	1	no	—
162	C₂²×C₁₇	—	2	1	no	—
163	C₂²×C₁₇	—	2	1	no	—
164	C₂²×C₁₇	AGL(1,ℤ/8)	1	2	yes	—
165	C₂²×C₁₇	C₂²×D₄	1	1	yes	characteristic
166	C₂×D₁₇	—	2	2	no	—
167	C₂×D₁₇	—	4	1	no	—
168	C₂×D₁₇	—	4	1	no	—
169	C₂×D₁₇	—	4	1	no	—
170	C₂×D₁₇	—	4	1	no	—
171	C₂×D₁₇	—	4	1	no	—
172	C₂×D₁₇	—	4	1	no	—
173	C₂×D₁₇	—	4	1	no	—
174	C₂×D₁₇	—	4	1	no	—
175	C₂×D₁₇	—	8	4	no	—
176	C₂×D₁₇	—	8	4	no	—
177	C₄×C₁₇	—	2	1	no	—
178	C₄×C₁₇	—	2	1	no	—
179	C₄×C₁₇	—	2	1	no	—
180	C₄×C₁₇	—	2	1	no	—
181	C₄×C₁₇	C₂×#41	1	1	yes	characteristic
182	C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
183	Dic₁₇	—	4	1	no	—
184	Dic₁₇	—	4	1	no	—
185	Dic₁₇	—	4	1	no	—
186	Dic₁₇	—	4	1	no	—
187	Dic₁₇	—	4	1	no	—
188	#552	—	17	1	no	—
189	D₄²	—	17	1	no	—
190	#490	—	17	1	no	—
191	#482	—	17	1	no	—
192	#480	—	17	1	no	—
193	#478	—	17	1	no	—
194	#468	—	17	1	no	—
195	#465	—	17	1	no	—
196	#460	—	17	1	no	—
197	#450	—	17	1	no	—
198	#450	—	17	1	no	—
199	#440	—	17	1	no	—
200	#435	D₁₇	1	1	yes	characteristic, complemented
201	#418	—	17	1	no	—
202	C₂×#102	—	17	1	no	—
203	C₂×C₁₇	—	2	2	no	—
204	C₂×C₁₇	—	4	1	no	—
205	C₂×C₁₇	#546	1	1	yes	characteristic
206	C₂×C₁₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
207	C₂×C₁₇	#577	1	1	yes	characteristic
208	D₁₇	—	4	2	no	—
209	D₁₇	—	8	1	no	—
210	D₁₇	—	8	1	no	—
211	C₂²×D₄	—	17	1	no	—
212	C₂²×D₄	—	17	1	no	—
213	C₂²×D₄	—	34	1	no	—
214	C₂×SD₁₆	—	17	1	no	—
215	C₂×SD₁₆	—	17	1	no	—
216	C₂×SD₁₆	—	17	1	no	—
217	C₂×M₁₆	C₂×D₁₇	1	1	yes	characteristic, complemented
218	C₂²×C₈	C₂×D₁₇	1	1	yes	characteristic, complemented
219	#127	—	17	1	no	—
220	#126	—	34	1	no	—
221	#125	—	17	1	no	—
222	#125	—	34	1	no	—
223	#123	—	34	1	no	—
224	C₂²⋊Q₈	—	17	1	no	—
225	C₂²⋊Q₈	—	17	1	no	—
226	#121	—	17	1	no	—
227	#121	—	17	1	no	—
228	#121	—	34	1	no	—
229	#120	—	34	1	no	—
230	#120	—	34	1	no	—
231	C₄×Q₈	—	17	1	no	—
232	C₄×D₄	—	17	1	no	—
233	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
234	#117	—	17	1	no	—
235	#117	—	34	1	no	—
236	C₂×C₄⋊C₄	—	17	1	no	—
237	#107	—	17	1	no	—
238	#107	—	17	1	no	—
239	#106	—	17	1	no	—
240	C₄⋊C₈	C₂×D₁₇	1	1	yes	characteristic, complemented
241	#103	—	17	1	no	—
242	#102	—	17	1	no	—
243	#102	—	17	1	no	—
244	#102	—	17	1	no	—
245	#102	—	17	1	no	—
246	#102	—	17	1	no	—
247	#102	—	17	1	no	—
248	#102	—	17	1	no	—
249	#102	—	17	1	no	—
250	#102	—	17	1	no	—
251	C₂²⋊C₈	C₂×D₁₇	1	1	yes	characteristic, complemented
252	C₂²⋊C₈	C₂×D₁₇	1	1	yes	characteristic, complemented
253	#97	C₂×D₁₇	1	1	yes	characteristic, complemented
254	C₁₇	#3310	1	1	yes	characteristic, complemented, Sylow
255	C₂⁴	—	34	1	no	—
256	C₂⁴	—	34	1	no	—
257	C₂×Q₈	—	17	1	no	—
258	C₂×D₄	—	17	1	no	—
259	C₂×D₄	—	17	1	no	—
260	C₂×D₄	—	17	1	no	—
261	C₂×D₄	—	34	2	no	—
262	C₂×D₄	—	34	2	no	—
263	C₂×D₄	—	34	1	no	—
264	C₂×D₄	—	34	1	no	—
265	C₂×D₄	—	34	1	no	—
266	C₂×D₄	—	34	1	no	—
267	C₂×D₄	—	34	1	no	—
268	C₂×D₄	—	34	1	no	—
269	C₂×D₄	—	68	1	no	—
270	C₂×D₄	—	68	1	no	—
271	C₂×D₄	—	68	4	no	—
272	C₂×D₄	D₆₈	1	1	yes	characteristic
273	C₂²×C₄	—	34	1	no	—
274	C₂²×C₄	—	34	1	no	—
275	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
276	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
277	SD₁₆	—	34	2	no	—
278	SD₁₆	—	68	1	no	—
279	SD₁₆	—	68	1	no	—
280	M₁₆	—	4	1	no	—
281	C₂×C₈	—	4	1	no	—
282	C₂×C₈	C₂²×D₁₇	1	1	yes	characteristic
283	C₂×C₈	C₂²×D₁₇	1	1	yes	characteristic
284	C₂×C₈	C₂²×D₁₇	1	1	yes	characteristic
285	C₂×C₈	C₂²×D₁₇	1	1	yes	characteristic
286	C₄⋊C₄	—	17	1	no	—
287	C₄⋊C₄	—	17	1	no	—
288	C₄⋊C₄	—	17	1	no	—
289	C₄⋊C₄	—	17	1	no	—
290	C₄⋊C₄	—	34	1	no	—
291	C₄⋊C₄	—	34	1	no	—
292	C₄⋊C₄	—	34	1	no	—
293	C₄⋊C₄	—	34	1	no	—
294	C₄⋊C₄	—	34	1	no	—
295	C₄⋊C₄	—	34	1	no	—
296	C₄⋊C₄	D₆₈	1	1	yes	characteristic
297	C₂²⋊C₄	—	34	1	no	—
298	C₂²⋊C₄	—	34	1	no	—
299	C₂²⋊C₄	—	34	1	no	—
300	C₂²⋊C₄	—	34	1	no	—
301	C₂²⋊C₄	—	34	1	no	—
302	C₂²⋊C₄	—	34	1	no	—
303	C₂²⋊C₄	D₆₈	1	1	yes	characteristic
304	C₂²⋊C₄	D₆₈	1	1	yes	characteristic
305	C₄²	—	34	1	no	—
306	C₄²	—	34	1	no	—
307	C₄²	C₂²×D₁₇	1	1	yes	characteristic
308	C₂³	—	34	1	no	—
309	C₂³	—	34	1	no	—
310	C₂³	—	34	1	no	—
311	C₂³	—	68	2	no	—
312	C₂³	—	68	2	no	—
313	C₂³	—	68	2	no	—
314	C₂³	—	68	2	no	—
315	C₂³	—	136	1	no	—
316	C₂³	—	136	1	no	—
317	C₂³	C₂×D₆₈	1	1	yes	characteristic
318	C₂³	C₂×D₆₈	1	1	yes	characteristic
319	Q₈	—	34	1	no	—
320	Q₈	—	34	1	no	—
321	D₄	—	2	2	no	—
322	D₄	—	17	2	no	—
323	D₄	—	34	1	no	—
324	D₄	—	34	1	no	—
325	D₄	—	34	1	no	—
326	D₄	—	34	1	no	—
327	D₄	—	34	1	no	—
328	D₄	—	68	2	no	—
329	D₄	—	68	2	no	—
330	D₄	—	68	2	no	—
331	D₄	—	68	2	no	—
332	D₄	—	68	2	no	—
333	D₄	—	136	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	34	1	no	—
339	C₂×C₄	—	34	1	no	—
340	C₂×C₄	—	34	1	no	—
341	C₂×C₄	—	34	1	no	—
342	C₂×C₄	—	34	1	no	—
343	C₂×C₄	—	68	2	no	—
344	C₂×C₄	—	68	2	no	—
345	C₂×C₄	C₂×D₆₈	1	1	yes	characteristic
346	C₂×C₄	C₂×D₆₈	1	1	yes	characteristic
347	C₂×C₄	C₂×D₆₈	1	1	yes	characteristic
348	C₂×C₄	C₂×D₆₈	1	1	yes	characteristic
349	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
350	C₈	—	2	1	no	—
351	C₈	—	2	1	no	—
352	C₈	—	2	1	no	—
353	C₈	—	2	1	no	—
354	C₂²	—	2	1	no	—
355	C₂²	—	2	1	no	—
356	C₂²	—	2	1	no	—
357	C₂²	—	2	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	34	2	no	—
360	C₂²	—	68	1	no	—
361	C₂²	—	68	1	no	—
362	C₂²	—	68	1	no	—
363	C₂²	—	68	1	no	—
364	C₂²	—	68	1	no	—
365	C₂²	—	68	1	no	—
366	C₂²	—	68	1	no	—
367	C₂²	—	68	1	no	—
368	C₂²	—	136	4	no	—
369	C₂²	—	136	4	no	—
370	C₂²	#10587594	1	2	yes	—
371	C₂²	C₂²×D₆₈	1	1	yes	characteristic
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	68	1	no	—
377	C₄	—	68	1	no	—
378	C₄	—	68	1	no	—
379	C₄	—	68	1	no	—
380	C₄	—	68	1	no	—
381	C₄	#10587691	1	1	yes	characteristic
382	C₄	#41×D₁₇	1	1	yes	characteristic
383	C₂	—	2	2	no	—
384	C₂	—	4	1	no	—
385	C₂	—	68	2	no	—
386	C₂	—	136	1	no	—
387	C₂	—	136	1	no	—
388	C₂	#11763454	1	1	yes	characteristic
389	C₂	C₂×#10587594	1	1	yes	characteristic
390	C₂	#11763621	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₆₈
commutator, cosocle	C₂×C₄×C₁₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₇
Fitting	C₁₇×#435	C₂
socle	C₂²×C₁₇	C₂²×D₄
prime radical	D₄×D₆₈	C₂
hypercenter	#435	D₁₇
hypocenter	C₁₇	#3310
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #435

Complements

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

N	H ≅ G/N	type
1. #11763499	C₂	semidirect
3. #11763174	C₂	semidirect
4. #11763134	C₂	semidirect
5. #11763123	C₂	semidirect
6. #11763110	C₂	semidirect
7. #11763055	C₂	semidirect
8. #11763038	C₂	semidirect
9. #11763010	C₂	semidirect
10. #11762962	C₂	semidirect
11. #11762962	C₂	semidirect
12. #11762911	C₂	semidirect
13. #11762815	C₂	semidirect
14. C₂×#10587492	C₂	semidirect
15. C₁₇×#435	C₂	semidirect
19. C₂×M₁₆×C₁₇	C₂²	semidirect
20. C₂²×C₈×C₁₇	C₂²	semidirect
25. #10587612	C₂²	semidirect
26. C₂×C₄⋊Dic₁₇	C₂²	semidirect
27. #10587610	C₂²	semidirect
28. #10587610	C₂²	semidirect
30. C₂×#63219	C₂²	semidirect
31. C₂×#63219	C₂²	semidirect
40. #10587556	C₂²	semidirect
41. C₄×Dic₃₄	C₂²	semidirect
42. C₁₇×C₄⋊C₈	C₂²	semidirect
43. C₁₇×C₂²⋊C₈	C₂²	semidirect
44. C₁₇×C₂²⋊C₈	C₂²	semidirect
45. C₁₇×#97	C₂²	semidirect
49. #10587492	C₂²	semidirect
50. #10587492	C₂²	semidirect
51. #10587492	C₂²	semidirect
52. #10587492	C₂²	semidirect
53. #10587492	C₂²	semidirect
54. #10587492	C₂²	semidirect
55. #10587489	C₂²	semidirect
56. #10587489	C₂²	semidirect
57. #10587488	C₂²	semidirect
58. #10587487	C₂²	semidirect
200. #435	D₁₇	semidirect
217. C₂×M₁₆	C₂×D₁₇	semidirect
218. C₂²×C₈	C₂×D₁₇	semidirect
240. C₄⋊C₈	C₂×D₁₇	semidirect
251. C₂²⋊C₈	C₂×D₁₇	semidirect
252. C₂²⋊C₈	C₂×D₁₇	semidirect
253. #97	C₂×D₁₇	semidirect
254. C₁₇	#3310	semidirect

Maximal subgroups

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

subgroup	index
#11763499	2
D₄×D₆₈	2
#11763174	2
#11763134	2
#11763123	2
#11763110	2
#11763055	2
#11763038	2
#11763010	2
#11762962	2
#11762911	2
#11762815	2
C₂×#10587492	2
C₁₇×#435	2
#3310	17