Subgroups — #16940235

Order 4352.

766 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#10587490	C₂	1	1	yes	maximal, characteristic
2	C₂²×#10587486	C₂	1	1	yes	maximal, characteristic
3	C₂×#11762573	C₂	1	2	yes	maximal
4	#14528477	C₂	1	2	yes	maximal
5	C₂²×C₁₇×#108	C₂	1	1	yes	maximal, characteristic
6	C₂²×#63223	C₂²	1	2	yes	—
7	C₂³×#3622	C₂²	1	1	yes	characteristic
8	C₂²×C₄×Dic₁₇	C₂²	1	1	yes	characteristic
9	C₂×#10587490	—	2	2	no	—
10	C₂×#10587490	—	2	2	no	—
11	C₂×#10587490	C₄	1	4	yes	complemented
12	C₂×#10587486	—	2	2	no	—
13	C₂×#10587486	—	2	2	no	—
14	C₂×#10587486	C₄	1	4	yes	—
15	#11762573	—	2	4	no	—
16	#11762563	—	2	4	no	—
17	C₂²×M₁₆×C₁₇	C₂²	1	2	yes	—
18	C₂³×C₈×C₁₇	C₂²	1	1	yes	characteristic
19	C₂×C₁₇×#108	—	2	2	no	—
20	C₂×C₁₇×#108	—	2	2	no	—
21	C₂×C₁₇×#108	C₄	1	4	yes	complemented
22	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
23	C₂³×Dic₁₇	Q₈	1	2	yes	—
24	C₂×M₁₆×C₁₇	—	2	2	no	—
25	C₂×M₁₆×C₁₇	—	2	2	no	—
26	C₂×M₁₆×C₁₇	—	2	2	no	—
27	C₂×M₁₆×C₁₇	—	2	2	no	—
28	C₂×M₁₆×C₁₇	—	2	2	no	—
29	C₂×M₁₆×C₁₇	C₂×C₄	1	4	yes	—
30	C₂²×C₈×C₁₇	—	2	2	no	—
31	C₂²×C₈×C₁₇	C₂×C₄	1	2	yes	—
32	C₂²×C₈×C₁₇	C₂×C₄	1	2	yes	—
33	C₂²×C₈×C₁₇	C₂×C₄	1	2	yes	—
34	C₂²×C₈×C₁₇	D₄	1	2	yes	—
35	C₂²×C₈×C₁₇	D₄	1	2	yes	—
36	C₂²×C₈×C₁₇	D₄	1	2	yes	—
37	C₂²×C₈×C₁₇	Q₈	1	2	yes	—
38	C₂×C₄×Dic₁₇	—	2	1	no	—
39	C₂×C₄×Dic₁₇	—	2	1	no	—
40	C₂×C₄×Dic₁₇	—	2	1	no	—
41	C₂×C₄×Dic₁₇	—	2	1	no	—
42	C₂×C₄×Dic₁₇	C₂×C₄	1	2	yes	—
43	C₂×C₄×Dic₁₇	D₄	1	2	yes	—
44	C₂×#63223	—	2	2	no	—
45	C₂×#63223	—	2	2	no	—
46	C₂×#63223	—	2	2	no	—
47	C₂×#63223	—	2	2	no	—
48	C₂×#63223	—	2	2	no	—
49	C₂×#63223	C₂×C₄	1	4	yes	—
50	C₂²×#3622	—	2	1	no	—
51	C₂²×#3622	—	2	1	no	—
52	C₂²×#3622	—	2	2	no	—
53	C₂²×#3622	—	2	1	no	—
54	C₂²×#3622	—	2	1	no	—
55	C₂²×#3622	C₂×C₄	1	2	yes	—
56	C₂²×#3622	D₄	1	2	yes	—
57	C₂²×#3622	Q₈	1	2	yes	—
58	C₁₇×#108	—	2	8	no	—
59	#10587490	—	2	8	no	—
60	#10587486	—	2	8	no	—
61	C₂⁴×C₁₇	C₂×Q₈	1	1	yes	characteristic
62	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
64	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
65	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
66	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
67	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
68	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
70	C₂²×C₄×C₁₇	C₂×Q₈	1	1	yes	characteristic
71	C₂²×C₄×C₁₇	C₂×Q₈	1	1	yes	characteristic
72	C₂²×C₄×C₁₇	#41	1	1	yes	characteristic
73	C₂²×C₄×C₁₇	#41	1	1	yes	characteristic
74	C₂²×C₄×C₁₇	#41	1	1	yes	characteristic
75	C₂²×C₄×C₁₇	#41	1	1	yes	characteristic
76	C₂²×Dic₁₇	—	2	2	no	—
77	C₂²×Dic₁₇	—	2	2	no	—
78	C₂²×Dic₁₇	—	4	4	no	—
79	C₂²×Dic₁₇	C₄⋊C₄	1	4	yes	—
80	M₁₆×C₁₇	—	2	4	no	—
81	M₁₆×C₁₇	—	2	4	no	—
82	M₁₆×C₁₇	—	4	2	no	—
83	M₁₆×C₁₇	—	4	2	no	—
84	C₂×C₈×C₁₇	—	2	4	no	—
85	C₂×C₈×C₁₇	—	4	2	no	—
86	C₂×C₈×C₁₇	—	4	2	no	—
87	C₂×C₈×C₁₇	C₄²	1	4	yes	—
88	C₂×C₈×C₁₇	C₂²⋊C₄	1	4	yes	—
89	C₂×C₈×C₁₇	C₂²⋊C₄	1	4	yes	—
90	C₂×C₈×C₁₇	C₂²⋊C₄	1	4	yes	—
91	C₂×C₈×C₁₇	C₄⋊C₄	1	4	yes	—
92	C₂×C₈×C₁₇	C₄⋊C₄	1	4	yes	—
93	C₂×C₈×C₁₇	C₄⋊C₄	1	4	yes	—
94	C₄×Dic₁₇	—	2	2	no	—
95	C₄×Dic₁₇	—	2	2	no	—
96	C₄×Dic₁₇	—	2	2	no	—
97	C₄×Dic₁₇	—	2	2	no	—
98	#63223	—	2	4	no	—
99	#63223	—	2	4	no	—
100	#63223	—	4	2	no	—
101	#63223	—	4	2	no	—
102	C₂×#3622	—	2	2	no	—
103	C₂×#3622	—	2	2	no	—
104	C₂×#3622	—	2	2	no	—
105	C₂×#3622	—	2	2	no	—
106	C₂×#3622	—	2	2	no	—
107	C₂×#3622	—	2	2	no	—
108	C₂×#3622	—	2	4	no	—
109	C₂×#3622	—	4	2	no	—
110	C₂×#3622	—	4	2	no	—
111	C₂×#3622	C₄⋊C₄	1	4	yes	—
112	#10865	—	17	1	no	maximal, Sylow
113	C₂³×C₁₇	—	2	4	no	—
114	C₂³×C₁₇	C₂×C₄⋊C₄	1	1	yes	characteristic
115	C₂³×C₁₇	C₄×Q₈	1	1	yes	characteristic
116	C₂³×C₁₇	C₄×Q₈	1	1	yes	characteristic
117	C₂³×C₁₇	C₂²⋊Q₈	1	1	yes	characteristic
118	C₂³×C₁₇	C₂²⋊Q₈	1	1	yes	characteristic
119	C₂³×C₁₇	C₄⋊Q₈	1	1	yes	characteristic
120	C₂³×C₁₇	C₄⋊Q₈	1	1	yes	characteristic
121	C₂×C₄×C₁₇	C₂×C₄²	1	1	yes	characteristic
122	C₂×C₄×C₁₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
123	C₂×C₄×C₁₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
124	C₂×C₄×C₁₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
125	C₂×C₄×C₁₇	C₂×C₄⋊C₄	1	1	yes	characteristic
126	C₂×C₄×C₁₇	C₂×C₄⋊C₄	1	1	yes	characteristic
127	C₂×C₄×C₁₇	C₂×C₄⋊C₄	1	1	yes	characteristic
128	C₂×C₄×C₁₇	C₂×C₄⋊C₄	1	1	yes	characteristic
129	C₂×C₄×C₁₇	#117	1	1	yes	characteristic
130	C₂×C₄×C₁₇	#117	1	1	yes	characteristic
131	C₂×C₄×C₁₇	C₄×D₄	1	1	yes	characteristic
132	C₂×C₄×C₁₇	C₄×D₄	1	1	yes	characteristic
133	C₂×C₄×C₁₇	C₄×D₄	1	1	yes	characteristic
134	C₂×C₄×C₁₇	C₄×D₄	1	1	yes	characteristic
135	C₂×C₄×C₁₇	C₄×Q₈	1	1	yes	characteristic
136	C₂×C₄×C₁₇	C₄×Q₈	1	1	yes	characteristic
137	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
138	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
139	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
140	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
141	C₂×C₄×C₁₇	C₂²⋊Q₈	1	1	yes	characteristic
142	C₂×C₄×C₁₇	C₂²⋊Q₈	1	1	yes	characteristic
143	C₂×C₄×C₁₇	#124	1	1	yes	characteristic
144	C₂×C₄×C₁₇	#124	1	1	yes	characteristic
145	C₂×C₄×C₁₇	#125	1	1	yes	characteristic
146	C₂×C₄×C₁₇	#125	1	1	yes	characteristic
147	C₂×C₄×C₁₇	#127	1	1	yes	characteristic
148	C₂×C₄×C₁₇	C₄⋊Q₈	1	1	yes	characteristic
149	C₂×Dic₁₇	—	2	4	no	—
150	C₂×Dic₁₇	—	2	8	no	—
151	C₂×Dic₁₇	—	4	4	no	—
152	C₂×Dic₁₇	—	4	4	no	—
153	C₈×C₁₇	—	4	4	no	—
154	C₈×C₁₇	#95	1	8	yes	—
155	#3622	—	2	4	no	—
156	#3622	—	4	4	no	—
157	C₂²×#108	—	17	1	no	—
158	C₂²×#108	D₁₇	1	1	yes	characteristic
159	C₂²×#97	—	17	1	no	—
160	C₂×#341	—	17	2	no	—
161	#1728	—	17	2	no	—
162	C₂²×C₁₇	—	2	2	no	—
163	C₂²×C₁₇	—	2	2	no	—
164	C₂²×C₁₇	—	2	2	no	—
165	C₂²×C₁₇	—	2	2	no	—
166	C₂²×C₁₇	—	2	2	no	—
167	C₂²×C₁₇	—	2	2	no	—
168	C₂²×C₁₇	C₄×C₄⋊C₄	1	1	yes	characteristic
169	C₂²×C₁₇	#380	1	1	yes	characteristic
170	C₂²×C₁₇	#384	1	1	yes	characteristic
171	C₂²×C₁₇	#389	1	1	yes	characteristic
172	C₂²×C₁₇	#389	1	1	yes	characteristic
173	C₂²×C₁₇	#391	1	1	yes	characteristic
174	C₂²×C₁₇	#391	1	1	yes	characteristic
175	C₂²×C₁₇	#430	1	4	yes	—
176	C₄×C₁₇	C₂×#95	1	1	yes	characteristic
177	C₄×C₁₇	C₄×C₄⋊C₄	1	1	yes	characteristic
178	C₄×C₁₇	#380	1	1	yes	characteristic
179	C₄×C₁₇	#382	1	1	yes	characteristic
180	C₄×C₁₇	#389	1	1	yes	characteristic
181	C₄×C₁₇	#389	1	1	yes	characteristic
182	C₄×C₁₇	#390	1	1	yes	characteristic
183	C₄×C₁₇	#390	1	1	yes	characteristic
184	Dic₁₇	—	4	4	no	—
185	C₂²×M₁₆	—	17	2	no	—
186	C₂²×M₁₆	C₂×D₁₇	1	2	yes	—
187	C₂³×C₈	—	17	1	no	—
188	C₂³×C₈	C₂×D₁₇	1	1	yes	characteristic
189	C₂²×C₄²	—	17	1	no	—
190	C₂×#108	—	2	2	no	—
191	C₂×#108	—	2	2	no	—
192	C₂×#108	—	17	4	no	—
193	C₂×#108	—	34	2	no	—
194	C₂×#108	—	34	2	no	—
195	C₂×#108	Dic₁₇	1	4	yes	complemented
196	C₂×#97	—	17	4	no	—
197	C₂×#97	—	34	2	no	—
198	C₂×#97	—	34	2	no	—
199	#341	—	34	4	no	—
200	#336	—	34	4	no	—
201	C₂×C₁₇	—	2	1	no	—
202	C₂×C₁₇	—	2	1	no	—
203	C₂×C₁₇	—	2	1	no	—
204	C₂×C₁₇	—	2	1	no	—
205	C₂×C₁₇	C₄⋊#95	1	1	yes	characteristic
206	C₂×C₁₇	#1778	1	2	yes	—
207	C₂×C₁₇	#1811	1	2	yes	—
208	C₂×C₁₇	#1849	1	2	yes	—
209	C₂³×C₄	—	17	2	no	—
210	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
211	C₂×M₁₆	—	2	2	no	—
212	C₂×M₁₆	—	2	2	no	—
213	C₂×M₁₆	—	2	2	no	—
214	C₂×M₁₆	—	2	2	no	—
215	C₂×M₁₆	—	2	2	no	—
216	C₂×M₁₆	—	17	4	no	—
217	C₂×M₁₆	—	34	2	no	—
218	C₂×M₁₆	—	34	2	no	—
219	C₂×M₁₆	—	34	2	no	—
220	C₂×M₁₆	—	34	2	no	—
221	C₂×M₁₆	—	34	2	no	—
222	C₂×M₁₆	C₂×Dic₁₇	1	4	yes	—
223	C₂²×C₈	—	2	2	no	—
224	C₂²×C₈	—	17	2	no	—
225	C₂²×C₈	—	17	2	no	—
226	C₂²×C₈	—	17	2	no	—
227	C₂²×C₈	—	34	1	no	—
228	C₂²×C₈	—	34	1	no	—
229	C₂²×C₈	—	34	1	no	—
230	C₂²×C₈	—	34	1	no	—
231	C₂²×C₈	—	34	2	no	—
232	C₂²×C₈	Dic₃₄	1	2	yes	—
233	C₂²×C₈	C₄×D₁₇	1	2	yes	—
234	C₂²×C₈	C₄×D₁₇	1	2	yes	—
235	C₂²×C₈	D₆₈	1	2	yes	—
236	C₂²×C₈	C₂×Dic₁₇	1	2	yes	—
237	C₂²×C₈	C₂²⋊D₁₇	1	2	yes	—
238	C₂²×C₈	C₂²⋊D₁₇	1	2	yes	—
239	C₂×C₄²	—	17	2	no	—
240	C₂×C₄²	—	17	2	no	—
241	C₂×C₄²	—	34	1	no	—
242	C₂×C₄²	—	34	1	no	—
243	C₂×C₄²	—	34	1	no	—
244	C₂×C₄²	—	34	1	no	—
245	#108	—	2	8	no	—
246	#108	—	34	8	no	—
247	#97	—	34	8	no	—
248	C₁₇	#10865	1	1	yes	characteristic, complemented, Sylow
249	C₂⁴	Q₈×D₁₇	1	1	yes	characteristic
250	C₂²×C₄	—	17	4	no	—
251	C₂²×C₄	—	34	2	no	—
252	C₂²×C₄	—	34	2	no	—
253	C₂²×C₄	—	68	4	no	—
254	C₂²×C₄	C₂×Dic₃₄	1	1	yes	characteristic
255	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
256	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
257	C₂²×C₄	C₂×D₆₈	1	1	yes	characteristic
258	C₂²×C₄	D₄×D₁₇	1	1	yes	characteristic
259	C₂²×C₄	D₄×D₁₇	1	1	yes	characteristic
260	C₂²×C₄	#63254	1	1	yes	characteristic
261	C₂²×C₄	#63254	1	1	yes	characteristic
262	C₂²×C₄	Q₈×D₁₇	1	1	yes	characteristic
263	C₂²×C₄	#63256	1	1	yes	characteristic
264	C₂²×C₄	#63256	1	1	yes	characteristic
265	C₂²×C₄	C₂²×Dic₁₇	1	1	yes	characteristic
266	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
267	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
268	M₁₆	—	2	4	no	—
269	M₁₆	—	2	4	no	—
270	M₁₆	—	4	2	no	—
271	M₁₆	—	4	2	no	—
272	M₁₆	—	34	4	no	—
273	M₁₆	—	34	4	no	—
274	M₁₆	—	68	2	no	—
275	M₁₆	—	68	2	no	—
276	C₂×C₈	—	2	4	no	—
277	C₂×C₈	—	4	2	no	—
278	C₂×C₈	—	4	2	no	—
279	C₂×C₈	—	17	4	no	—
280	C₂×C₈	—	34	2	no	—
281	C₂×C₈	—	34	2	no	—
282	C₂×C₈	—	34	2	no	—
283	C₂×C₈	—	34	2	no	—
284	C₂×C₈	—	34	2	no	—
285	C₂×C₈	—	34	2	no	—
286	C₂×C₈	—	34	4	no	—
287	C₂×C₈	—	68	2	no	—
288	C₂×C₈	—	68	2	no	—
289	C₂×C₈	C₄×Dic₁₇	1	4	yes	—
290	C₂×C₈	#63225	1	4	yes	—
291	C₂×C₈	#63225	1	4	yes	—
292	C₂×C₈	C₄⋊Dic₁₇	1	4	yes	—
293	C₂×C₈	#63227	1	4	yes	—
294	C₂×C₈	#63227	1	4	yes	—
295	C₂×C₈	C₂²⋊Dic₁₇	1	4	yes	—
296	C₄²	—	34	2	no	—
297	C₄²	—	34	2	no	—
298	C₄²	—	34	2	no	—
299	C₄²	—	34	2	no	—
300	C₂³	—	2	4	no	—
301	C₂³	#10587573	1	1	yes	characteristic
302	C₂³	#10587574	1	1	yes	characteristic
303	C₂³	C₄⋊C₄×D₁₇	1	1	yes	characteristic
304	C₂³	#10587583	1	1	yes	characteristic
305	C₂³	#10587630	1	1	yes	characteristic
306	C₂³	Q₈×Dic₁₇	1	1	yes	characteristic
307	C₂³	#10587632	1	1	yes	characteristic
308	C₂×C₄	—	34	8	no	—
309	C₂×C₄	—	34	4	no	—
310	C₂×C₄	—	68	4	no	—
311	C₂×C₄	—	68	4	no	—
312	C₂×C₄	#10587573	1	1	yes	characteristic
313	C₂×C₄	#10587574	1	1	yes	characteristic
314	C₂×C₄	#10587576	1	1	yes	characteristic
315	C₂×C₄	#10587576	1	1	yes	characteristic
316	C₂×C₄	C₄⋊C₄×D₁₇	1	1	yes	characteristic
317	C₂×C₄	#10587578	1	1	yes	characteristic
318	C₂×C₄	#10587578	1	1	yes	characteristic
319	C₂×C₄	#10587579	1	1	yes	characteristic
320	C₂×C₄	#10587579	1	1	yes	characteristic
321	C₂×C₄	#10587581	1	1	yes	characteristic
322	C₂×C₄	#10587581	1	1	yes	characteristic
323	C₂×C₄	#10587583	1	1	yes	characteristic
324	C₂×C₄	C₂×C₄×Dic₁₇	1	1	yes	characteristic
325	C₂×C₄	C₂×#63225	1	1	yes	characteristic
326	C₂×C₄	C₂×#63225	1	1	yes	characteristic
327	C₂×C₄	C₂×C₄⋊Dic₁₇	1	1	yes	characteristic
328	C₂×C₄	C₂×#63227	1	1	yes	characteristic
329	C₂×C₄	C₂×#63227	1	1	yes	characteristic
330	C₂×C₄	D₄×Dic₁₇	1	1	yes	characteristic
331	C₂×C₄	D₄×Dic₁₇	1	1	yes	characteristic
332	C₂×C₄	#10587622	1	1	yes	characteristic
333	C₂×C₄	#10587624	1	1	yes	characteristic
334	C₂×C₄	#10587624	1	1	yes	characteristic
335	C₂×C₄	#10587626	1	1	yes	characteristic
336	C₂×C₄	Q₈×Dic₁₇	1	1	yes	characteristic
337	C₂×C₄	#10587632	1	1	yes	characteristic
338	C₂×C₄	#10587633	1	1	yes	characteristic
339	C₂×C₄	C₂×C₂²⋊Dic₁₇	1	1	yes	characteristic
340	C₈	—	4	4	no	—
341	C₈	—	34	4	no	—
342	C₈	—	68	4	no	—
343	C₈	#10587502	1	8	yes	—
344	C₂²	—	2	2	no	—
345	C₂²	—	2	2	no	—
346	C₂²	—	2	2	no	—
347	C₂²	—	2	2	no	—
348	C₂²	—	2	2	no	—
349	C₂²	—	2	2	no	—
350	C₂²	C₄⋊C₄×Dic₁₇	1	1	yes	characteristic
351	C₂²	#11762666	1	1	yes	characteristic
352	C₂²	#11762678	1	1	yes	characteristic
353	C₂²	#11762705	1	1	yes	characteristic
354	C₂²	#11762708	1	1	yes	characteristic
355	C₂²	#11762714	1	1	yes	characteristic
356	C₂²	#11762716	1	1	yes	characteristic
357	C₂²	#11762856	1	4	yes	—
358	C₄	—	68	4	no	—
359	C₄	C₂×#10587502	1	1	yes	characteristic
360	C₄	C₄⋊C₄×Dic₁₇	1	1	yes	characteristic
361	C₄	#11762666	1	1	yes	characteristic
362	C₄	#11762674	1	1	yes	characteristic
363	C₄	#11762705	1	1	yes	characteristic
364	C₄	#11762708	1	1	yes	characteristic
365	C₄	#11762710	1	1	yes	characteristic
366	C₄	#11762712	1	1	yes	characteristic
367	C₂	—	2	1	no	—
368	C₂	—	2	1	no	—
369	C₂	—	2	1	no	—
370	C₂	—	2	1	no	—
371	C₂	#14527013	1	1	yes	characteristic
372	C₂	#14528692	1	2	yes	—
373	C₂	#14528823	1	2	yes	—
374	C₂	#14528957	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄	D₄×D₁₇
commutator	C₂×C₄×C₁₇	C₂×C₄²
Frattini	C₂³×C₄	C₂²×D₁₇
Fitting	C₂²×C₁₇×#108	C₂
socle	C₂³×C₁₇	C₂×C₄⋊C₄
prime radical	C₂⁴×C₁₇	C₂×Q₈
cosocle	C₂³×C₄×C₁₇	C₂³
hypercenter	C₂²×#108	D₁₇
hypocenter	C₁₇	#10865
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂²×C₄ ◁ C₂³×C₄ ◁ C₂²×#108

Complements

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

N	H ≅ G/N	type
11. C₂×#10587490	C₄	semidirect
21. C₂×C₁₇×#108	C₄	semidirect
195. C₂×#108	Dic₁₇	semidirect
248. C₁₇	#10865	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#10587490	2
C₂²×#10587486	2
C₂×#11762573	2
#14528477	2
C₂²×C₁₇×#108	2
#10865	17