Subgroups — C₁₇×#18560 #16876304

Order 4352.

986 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₇×#3182	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₇×#3115	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#3036	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₇×#1650	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#1647	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#1646	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₇×#1643	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#1628	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#1625	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#1624	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#1622	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#1559	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#1490	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#1489	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₇×AGL(1,ℤ/8)	—	2	1	no	—
17	C₁₇×#556	C₂²	1	1	yes	characteristic
18	C₁₇×#555	C₂²	1	1	yes	characteristic
19	C₁₇×#554	C₂²	1	1	yes	characteristic
20	C₁₇×#553	—	2	1	no	—
21	C₁₇×#552	—	2	1	no	—
22	C₁₇×#552	—	2	1	no	—
23	C₁₇×#551	—	2	2	no	—
24	C₁₇×#547	C₂²	1	1	yes	characteristic
25	C₁₇×#546	—	2	1	no	—
26	C₁₇×#533	C₂²	1	1	yes	characteristic
27	C₁₇×#532	C₂²	1	1	yes	characteristic
28	C₁₇×#529	—	2	2	no	—
29	C₁₇×#529	—	2	1	no	—
30	C₁₇×#525	—	2	1	no	—
31	C₄×#41×C₁₇	—	2	1	no	—
32	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
34	C₂×C₁₇×#117	—	2	1	no	—
35	C₁₇×#500	C₂²	1	1	yes	characteristic, complemented
36	C₁₇×#492	C₂²	1	1	yes	characteristic, complemented
37	C₁₇×#487	C₂²	1	1	yes	characteristic, complemented
38	C₁₇×#486	C₂²	1	1	yes	characteristic, complemented
39	C₁₇×#482	—	2	1	no	—
40	C₁₇×#475	C₂²	1	1	yes	characteristic, complemented
41	C₁₇×#474	C₂²	1	1	yes	characteristic, complemented
42	C₁₇×#468	—	2	2	no	—
43	C₁₇×#463	—	2	1	no	—
44	C₁₇×#463	—	2	1	no	—
45	C₁₇×#461	C₂²	1	1	yes	characteristic
46	C₁₇×#461	C₂²	1	1	yes	characteristic
47	C₁₇×#460	C₂²	1	1	yes	characteristic, complemented
48	C₁₇×#459	C₂²	1	1	yes	characteristic
49	C₁₇×#459	C₂²	1	1	yes	characteristic
50	C₁₇×#459	C₂²	1	1	yes	characteristic, complemented
51	C₁₇×#449	—	2	1	no	—
52	C₁₇×#442	—	2	1	no	—
53	C₁₇×#440	—	2	1	no	—
54	C₁₇×#440	—	2	2	no	—
55	C₁₇×#432	C₂²	1	1	yes	characteristic
56	C₁₇×#423	C₂²	1	1	yes	characteristic
57	C₁₇×#417	—	2	1	no	—
58	C₄×M₁₆×C₁₇	C₂²	1	1	yes	characteristic
59	C₁₇×#333	C₂²	1	1	yes	characteristic, complemented
60	C₁₇×#333	C₂²	1	1	yes	characteristic, complemented
61	C₁₇×#332	C₂²	1	1	yes	characteristic, complemented
62	C₁₇×#332	C₂²	1	1	yes	characteristic, complemented
63	C₁₇×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
64	C₁₇×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
65	C₁₇×D₄⋊C₈	C₂²	1	1	yes	characteristic
66	C₁₇×D₄⋊C₈	C₂²	1	1	yes	characteristic
67	C₁₇×D₄⋊C₈	C₂²	1	1	yes	characteristic
68	C₁₇×D₄⋊C₈	C₂²	1	1	yes	characteristic
69	C₁₇×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
70	C₁₇×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
71	C₂×#41×C₁₇	—	2	1	no	—
72	C₂×#41×C₁₇	—	2	1	no	—
73	C₂×#41×C₁₇	D₄	1	1	yes	characteristic
74	C₂²×D₄×C₁₇	D₄	1	1	yes	characteristic
75	C₂³×C₄×C₁₇	—	2	1	no	—
76	C₁₇×AGL(1,ℤ/8)	—	4	4	no	—
77	C₂×SD₁₆×C₁₇	—	2	2	no	—
78	C₂×SD₁₆×C₁₇	—	2	1	no	—
79	C₂×SD₁₆×C₁₇	—	2	1	no	—
80	C₂×SD₁₆×C₁₇	—	2	1	no	—
81	C₂×D₈×C₁₇	—	2	1	no	—
82	C₂×D₈×C₁₇	—	2	1	no	—
83	C₂×D₈×C₁₇	—	2	1	no	—
84	C₂×M₁₆×C₁₇	—	2	1	no	—
85	C₂×M₁₆×C₁₇	—	2	1	no	—
86	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
87	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
88	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
89	C₁₇×#127	C₂³	1	1	yes	characteristic
90	C₁₇×#126	—	2	2	no	—
91	C₁₇×#126	—	2	2	no	—
92	C₁₇×#126	—	2	2	no	—
93	C₁₇×#125	—	2	2	no	—
94	C₁₇×#125	—	2	1	no	—
95	C₁₇×#125	—	2	1	no	—
96	C₁₇×#124	—	2	2	no	—
97	C₁₇×#124	—	2	1	no	—
98	C₁₇×#124	—	2	1	no	—
99	C₁₇×#123	—	2	2	no	—
100	C₁₇×#123	—	2	2	no	—
101	C₁₇×#123	—	2	2	no	—
102	C₁₇×#123	—	2	2	no	—
103	C₁₇×C₂²⋊Q₈	—	2	1	no	—
104	C₁₇×C₂²⋊Q₈	—	2	1	no	—
105	C₁₇×C₂²⋊Q₈	—	2	2	no	—
106	C₁₇×C₂²⋊Q₈	—	2	1	no	—
107	C₁₇×C₂²⋊Q₈	—	2	1	no	—
108	C₁₇×C₂²⋊Q₈	D₄	1	2	yes	—
109	C₁₇×#121	—	2	2	no	—
110	C₁₇×#121	—	2	1	no	—
111	C₁₇×#121	—	2	1	no	—
112	C₁₇×#121	—	2	1	no	—
113	C₁₇×#121	—	2	1	no	—
114	C₁₇×#121	—	2	1	no	—
115	C₁₇×#120	—	2	2	no	—
116	C₄×Q₈×C₁₇	—	2	1	no	—
117	C₄×Q₈×C₁₇	—	2	1	no	—
118	C₄×Q₈×C₁₇	D₄	1	1	yes	characteristic
119	C₄×Q₈×C₁₇	D₄	1	2	yes	—
120	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
121	C₄×D₄×C₁₇	—	2	2	no	—
122	C₄×D₄×C₁₇	—	2	2	no	—
123	C₄×D₄×C₁₇	—	2	2	no	—
124	C₄×D₄×C₁₇	—	2	1	no	—
125	C₄×D₄×C₁₇	—	2	1	no	—
126	C₄×D₄×C₁₇	—	2	1	no	—
127	C₄×D₄×C₁₇	—	2	1	no	—
128	C₄×D₄×C₁₇	—	2	1	no	—
129	C₄×D₄×C₁₇	—	2	1	no	—
130	C₄×D₄×C₁₇	—	2	1	no	—
131	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
132	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
133	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
134	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
135	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
136	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
137	C₁₇×#117	—	2	2	no	—
138	C₁₇×#117	—	2	2	no	—
139	C₁₇×#117	—	2	2	no	—
140	C₁₇×#117	—	2	1	no	—
141	C₁₇×#117	—	2	1	no	—
142	C₁₇×#117	—	2	1	no	—
143	C₁₇×#117	—	2	1	no	—
144	C₁₇×#117	—	2	1	no	—
145	C₁₇×#117	D₄	1	1	yes	characteristic
146	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
147	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
148	C₂×C₄⋊C₄×C₁₇	D₄	1	1	yes	characteristic
149	C₂×C₂²⋊C₄×C₁₇	—	2	2	no	—
150	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
151	C₂×C₄²×C₁₇	—	2	2	no	—
152	C₂×C₄²×C₁₇	—	2	1	no	—
153	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
154	C₁₇×#107	—	2	2	no	—
155	C₁₇×#107	—	2	1	no	—
156	C₁₇×#106	—	2	1	no	—
157	C₁₇×C₄⋊C₈	—	2	1	no	—
158	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
159	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
160	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
161	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
162	C₁₇×#103	—	2	1	no	—
163	C₁₇×#103	—	2	2	no	—
164	C₁₇×#103	—	2	1	no	—
165	C₁₇×#103	—	2	1	no	—
166	C₁₇×#102	—	2	1	no	—
167	C₁₇×#102	—	2	1	no	—
168	C₁₇×#102	—	2	1	no	—
169	C₁₇×#102	—	2	1	no	—
170	C₁₇×#102	—	2	2	no	—
171	C₁₇×#102	—	2	1	no	—
172	C₁₇×C₂²⋊C₈	—	2	1	no	—
173	C₁₇×#97	—	2	1	no	—
174	C₁₇×#97	—	2	1	no	—
175	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
176	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
177	C₂⁴×C₁₇	—	2	1	no	—
178	#41×C₁₇	—	4	1	no	—
179	#41×C₁₇	—	4	1	no	—
180	#41×C₁₇	—	4	2	no	—
181	#41×C₁₇	—	4	2	no	—
182	#41×C₁₇	—	4	2	no	—
183	#41×C₁₇	—	4	2	no	—
184	C₂×Q₈×C₁₇	—	2	1	no	—
185	C₂×Q₈×C₁₇	—	2	1	no	—
186	C₂×Q₈×C₁₇	C₂×D₄	1	1	yes	characteristic
187	C₂×Q₈×C₁₇	C₂×D₄	1	2	yes	—
188	C₂×D₄×C₁₇	—	2	2	no	—
189	C₂×D₄×C₁₇	—	2	2	no	—
190	C₂×D₄×C₁₇	—	2	1	no	—
191	C₂×D₄×C₁₇	—	2	2	no	—
192	C₂×D₄×C₁₇	—	2	1	no	—
193	C₂×D₄×C₁₇	—	2	1	no	—
194	C₂×D₄×C₁₇	—	2	1	no	—
195	C₂×D₄×C₁₇	—	2	1	no	—
196	C₂×D₄×C₁₇	—	4	1	no	—
197	C₂×D₄×C₁₇	—	4	1	no	—
198	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
199	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
200	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
201	C₂²×C₄×C₁₇	—	2	2	no	—
202	C₂²×C₄×C₁₇	—	2	1	no	—
203	C₂²×C₄×C₁₇	—	2	2	no	—
204	C₂²×C₄×C₁₇	—	2	1	no	—
205	C₂²×C₄×C₁₇	—	2	1	no	—
206	C₂²×C₄×C₁₇	—	2	1	no	—
207	C₂²×C₄×C₁₇	—	2	1	no	—
208	C₂²×C₄×C₁₇	—	2	1	no	—
209	C₂²×C₄×C₁₇	—	2	1	no	—
210	C₂²×C₄×C₁₇	—	2	1	no	—
211	C₂²×C₄×C₁₇	—	4	2	no	—
212	C₂²×C₄×C₁₇	—	4	2	no	—
213	C₂²×C₄×C₁₇	—	4	1	no	—
214	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
215	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
217	SD₁₆×C₁₇	—	4	4	no	—
218	SD₁₆×C₁₇	—	4	2	no	—
219	SD₁₆×C₁₇	—	4	2	no	—
220	SD₁₆×C₁₇	—	4	2	no	—
221	D₈×C₁₇	—	4	2	no	—
222	D₈×C₁₇	—	4	2	no	—
223	D₈×C₁₇	—	4	2	no	—
224	M₁₆×C₁₇	—	4	2	no	—
225	M₁₆×C₁₇	—	4	2	no	—
226	C₂×C₈×C₁₇	—	2	1	no	—
227	C₂×C₈×C₁₇	—	2	1	no	—
228	C₂×C₈×C₁₇	—	2	1	no	—
229	C₂×C₈×C₁₇	—	2	1	no	—
230	C₂×C₈×C₁₇	—	2	1	no	—
231	C₂×C₈×C₁₇	—	2	1	no	—
232	C₄⋊C₄×C₁₇	—	2	2	no	—
233	C₄⋊C₄×C₁₇	—	2	2	no	—
234	C₄⋊C₄×C₁₇	—	2	2	no	—
235	C₄⋊C₄×C₁₇	—	2	2	no	—
236	C₄⋊C₄×C₁₇	—	2	2	no	—
237	C₄⋊C₄×C₁₇	—	2	2	no	—
238	C₄⋊C₄×C₁₇	—	2	1	no	—
239	C₄⋊C₄×C₁₇	—	2	1	no	—
240	C₄⋊C₄×C₁₇	—	2	1	no	—
241	C₄⋊C₄×C₁₇	—	2	1	no	—
242	C₄⋊C₄×C₁₇	—	2	1	no	—
243	C₄⋊C₄×C₁₇	—	2	1	no	—
244	C₄⋊C₄×C₁₇	—	2	1	no	—
245	C₄⋊C₄×C₁₇	—	2	1	no	—
246	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
247	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
248	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
249	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
250	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
251	C₂²⋊C₄×C₁₇	—	2	2	no	—
252	C₂²⋊C₄×C₁₇	—	2	2	no	—
253	C₂²⋊C₄×C₁₇	—	2	2	no	—
254	C₂²⋊C₄×C₁₇	—	2	2	no	—
255	C₂²⋊C₄×C₁₇	—	2	2	no	—
256	C₂²⋊C₄×C₁₇	—	2	2	no	—
257	C₂²⋊C₄×C₁₇	—	2	2	no	—
258	C₂²⋊C₄×C₁₇	—	2	1	no	—
259	C₂²⋊C₄×C₁₇	—	2	1	no	—
260	C₂²⋊C₄×C₁₇	—	2	1	no	—
261	C₂²⋊C₄×C₁₇	—	2	1	no	—
262	C₂²⋊C₄×C₁₇	—	2	1	no	—
263	C₂²⋊C₄×C₁₇	—	2	1	no	—
264	C₂²⋊C₄×C₁₇	—	2	1	no	—
265	C₂²⋊C₄×C₁₇	—	4	1	no	—
266	C₂²⋊C₄×C₁₇	—	4	1	no	—
267	C₄²×C₁₇	—	2	2	no	—
268	C₄²×C₁₇	—	2	2	no	—
269	C₄²×C₁₇	—	2	1	no	—
270	C₄²×C₁₇	—	2	1	no	—
271	C₄²×C₁₇	—	2	2	no	—
272	C₄²×C₁₇	—	2	1	no	—
273	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
274	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
275	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
276	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
277	#18560	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
278	C₂³×C₁₇	—	2	1	no	—
279	C₂³×C₁₇	—	2	1	no	—
280	C₂³×C₁₇	—	2	1	no	—
281	C₂³×C₁₇	—	4	2	no	—
282	C₂³×C₁₇	—	4	2	no	—
283	C₂³×C₁₇	—	4	1	no	—
284	C₂³×C₁₇	—	8	1	no	—
285	C₂³×C₁₇	#120	1	1	yes	characteristic
286	Q₈×C₁₇	—	2	1	no	—
287	Q₈×C₁₇	—	2	1	no	—
288	Q₈×C₁₇	—	4	2	no	—
289	Q₈×C₁₇	—	4	1	no	—
290	Q₈×C₁₇	—	4	1	no	—
291	Q₈×C₁₇	—	4	1	no	—
292	Q₈×C₁₇	—	4	1	no	—
293	D₄×C₁₇	—	2	1	no	—
294	D₄×C₁₇	—	2	1	no	—
295	D₄×C₁₇	—	2	1	no	—
296	D₄×C₁₇	—	2	1	no	—
297	D₄×C₁₇	—	2	1	no	—
298	D₄×C₁₇	—	4	2	no	—
299	D₄×C₁₇	—	4	2	no	—
300	D₄×C₁₇	—	4	2	no	—
301	D₄×C₁₇	—	4	4	no	—
302	D₄×C₁₇	—	4	1	no	—
303	D₄×C₁₇	—	4	1	no	—
304	D₄×C₁₇	—	4	1	no	—
305	D₄×C₁₇	—	4	1	no	—
306	D₄×C₁₇	—	8	2	no	—
307	D₄×C₁₇	—	8	2	no	—
308	D₄×C₁₇	AGL(1,ℤ/8)	1	2	yes	—
309	C₂×C₄×C₁₇	—	2	1	no	—
310	C₂×C₄×C₁₇	—	2	1	no	—
311	C₂×C₄×C₁₇	—	2	1	no	—
312	C₂×C₄×C₁₇	—	2	1	no	—
313	C₂×C₄×C₁₇	—	2	1	no	—
314	C₂×C₄×C₁₇	—	2	1	no	—
315	C₂×C₄×C₁₇	—	2	1	no	—
316	C₂×C₄×C₁₇	—	2	1	no	—
317	C₂×C₄×C₁₇	—	2	2	no	—
318	C₂×C₄×C₁₇	—	2	2	no	—
319	C₂×C₄×C₁₇	—	2	1	no	—
320	C₂×C₄×C₁₇	—	4	1	no	—
321	C₂×C₄×C₁₇	—	4	2	no	—
322	C₂×C₄×C₁₇	—	4	2	no	—
323	C₂×C₄×C₁₇	—	4	2	no	—
324	C₂×C₄×C₁₇	—	4	2	no	—
325	C₂×C₄×C₁₇	—	4	4	no	—
326	C₂×C₄×C₁₇	—	4	1	no	—
327	C₂×C₄×C₁₇	—	4	1	no	—
328	C₂×C₄×C₁₇	—	4	1	no	—
329	C₂×C₄×C₁₇	—	4	1	no	—
330	C₂×C₄×C₁₇	—	4	1	no	—
331	C₂×C₄×C₁₇	—	4	1	no	—
332	C₂×C₄×C₁₇	—	4	1	no	—
333	C₂×C₄×C₁₇	—	8	1	no	—
334	C₂×C₄×C₁₇	—	8	2	no	—
335	C₂×C₄×C₁₇	—	8	2	no	—
336	C₂×C₄×C₁₇	#120	1	1	yes	characteristic
337	C₂×C₄×C₁₇	#120	1	1	yes	characteristic
338	C₂×C₄×C₁₇	#120	1	1	yes	characteristic
339	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
340	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
341	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
342	C₈×C₁₇	—	2	2	no	—
343	C₈×C₁₇	—	4	1	no	—
344	C₈×C₁₇	—	4	1	no	—
345	C₈×C₁₇	—	4	1	no	—
346	C₈×C₁₇	—	4	1	no	—
347	C₈×C₁₇	—	4	1	no	—
348	#3475	C₂×C₁₇	1	1	yes	characteristic, complemented
349	#3182	C₂×C₁₇	1	1	yes	characteristic, complemented
350	#3115	C₂×C₁₇	1	1	yes	characteristic, complemented
351	#3036	C₂×C₁₇	1	1	yes	characteristic, complemented
352	#1650	C₂×C₁₇	1	1	yes	characteristic, complemented
353	#1647	C₂×C₁₇	1	1	yes	characteristic, complemented
354	#1646	C₂×C₁₇	1	1	yes	characteristic, complemented
355	#1643	C₂×C₁₇	1	1	yes	characteristic, complemented
356	#1628	C₂×C₁₇	1	1	yes	characteristic, complemented
357	#1625	C₂×C₁₇	1	1	yes	characteristic, complemented
358	#1624	C₂×C₁₇	1	1	yes	characteristic, complemented
359	#1622	C₂×C₁₇	1	1	yes	characteristic, complemented
360	#1559	C₂×C₁₇	1	1	yes	characteristic, complemented
361	#1490	C₂×C₁₇	1	1	yes	characteristic, complemented
362	#1489	C₂×C₁₇	1	1	yes	characteristic, complemented
363	C₂²×C₁₇	—	2	1	no	—
364	C₂²×C₁₇	—	2	1	no	—
365	C₂²×C₁₇	—	2	2	no	—
366	C₂²×C₁₇	—	2	1	no	—
367	C₂²×C₁₇	—	4	1	no	—
368	C₂²×C₁₇	—	4	1	no	—
369	C₂²×C₁₇	—	4	1	no	—
370	C₂²×C₁₇	—	4	1	no	—
371	C₂²×C₁₇	—	4	1	no	—
372	C₂²×C₁₇	—	4	1	no	—
373	C₂²×C₁₇	—	4	1	no	—
374	C₂²×C₁₇	—	4	1	no	—
375	C₂²×C₁₇	—	8	4	no	—
376	C₂²×C₁₇	—	8	1	no	—
377	C₂²×C₁₇	—	8	1	no	—
378	C₂²×C₁₇	—	8	1	no	—
379	C₂²×C₁₇	C₂×#120	1	1	yes	characteristic
380	C₄×C₁₇	—	2	1	no	—
381	C₄×C₁₇	—	2	1	no	—
382	C₄×C₁₇	—	2	1	no	—
383	C₄×C₁₇	—	2	1	no	—
384	C₄×C₁₇	—	4	1	no	—
385	C₄×C₁₇	—	4	1	no	—
386	C₄×C₁₇	—	4	1	no	—
387	C₄×C₁₇	—	4	1	no	—
388	C₄×C₁₇	—	4	2	no	—
389	C₄×C₁₇	—	4	1	no	—
390	C₄×C₁₇	—	4	2	no	—
391	C₄×C₁₇	—	8	1	no	—
392	C₄×C₁₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
393	C₄×C₁₇	#575	1	1	yes	characteristic
394	C₄×C₁₇	#575	1	1	yes	characteristic
395	C₄×C₁₇	#575	1	1	yes	characteristic
396	C₂×AGL(1,ℤ/8)	—	2	1	no	—
397	#556	C₂²×C₁₇	1	1	yes	characteristic
398	#555	C₂²×C₁₇	1	1	yes	characteristic
399	#554	C₂²×C₁₇	1	1	yes	characteristic
400	#553	—	2	1	no	—
401	#552	—	2	1	no	—
402	#552	—	2	1	no	—
403	#551	—	2	2	no	—
404	#547	C₂²×C₁₇	1	1	yes	characteristic
405	#546	—	2	1	no	—
406	#533	C₂²×C₁₇	1	1	yes	characteristic
407	#532	C₂²×C₁₇	1	1	yes	characteristic
408	#529	—	2	2	no	—
409	#529	—	2	1	no	—
410	#525	—	2	1	no	—
411	C₄×#41	—	2	1	no	—
412	C₄×#41	C₂²×C₁₇	1	1	yes	characteristic
413	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
414	C₂×#117	—	2	1	no	—
415	#500	C₂²×C₁₇	1	1	yes	characteristic, complemented
416	#492	C₂²×C₁₇	1	1	yes	characteristic, complemented
417	#487	C₂²×C₁₇	1	1	yes	characteristic, complemented
418	#486	C₂²×C₁₇	1	1	yes	characteristic, complemented
419	#482	—	2	1	no	—
420	#475	C₂²×C₁₇	1	1	yes	characteristic, complemented
421	#474	C₂²×C₁₇	1	1	yes	characteristic, complemented
422	#468	—	2	2	no	—
423	#463	—	2	1	no	—
424	#463	—	2	1	no	—
425	#461	C₂²×C₁₇	1	1	yes	characteristic
426	#461	C₂²×C₁₇	1	1	yes	characteristic
427	#460	C₂²×C₁₇	1	1	yes	characteristic, complemented
428	#459	C₂²×C₁₇	1	1	yes	characteristic
429	#459	C₂²×C₁₇	1	1	yes	characteristic
430	#459	C₂²×C₁₇	1	1	yes	characteristic, complemented
431	#449	—	2	1	no	—
432	#442	—	2	1	no	—
433	#440	—	2	1	no	—
434	#440	—	2	2	no	—
435	#432	C₂²×C₁₇	1	1	yes	characteristic
436	#423	C₂²×C₁₇	1	1	yes	characteristic
437	#417	—	2	1	no	—
438	C₄×M₁₆	C₂²×C₁₇	1	1	yes	characteristic
439	#333	C₂²×C₁₇	1	1	yes	characteristic, complemented
440	#333	C₂²×C₁₇	1	1	yes	characteristic, complemented
441	#332	C₂²×C₁₇	1	1	yes	characteristic, complemented
442	#332	C₂²×C₁₇	1	1	yes	characteristic, complemented
443	Q₈⋊C₈	C₂²×C₁₇	1	1	yes	characteristic, complemented
444	Q₈⋊C₈	C₂²×C₁₇	1	1	yes	characteristic, complemented
445	D₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
446	D₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
447	D₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
448	D₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
449	D₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic, complemented
450	D₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic, complemented
451	C₂×C₁₇	—	4	1	no	—
452	C₂×C₁₇	—	4	2	no	—
453	C₂×C₁₇	—	8	1	no	—
454	C₂×C₁₇	—	8	1	no	—
455	C₂×C₁₇	—	16	1	no	—
456	C₂×C₁₇	#3005	1	1	yes	characteristic
457	C₂×C₁₇	#3006	1	1	yes	characteristic
458	C₂×C₁₇	#3018	1	1	yes	characteristic
459	C₂×#41	—	2	1	no	—
460	C₂×#41	—	2	1	no	—
461	C₂×#41	D₄×C₁₇	1	1	yes	characteristic
462	C₂²×D₄	D₄×C₁₇	1	1	yes	characteristic
463	C₂³×C₄	—	2	1	no	—
464	AGL(1,ℤ/8)	—	4	4	no	—
465	C₂×SD₁₆	—	2	1	no	—
466	C₂×SD₁₆	—	2	2	no	—
467	C₂×SD₁₆	—	2	1	no	—
468	C₂×SD₁₆	—	2	1	no	—
469	C₂×D₈	—	2	1	no	—
470	C₂×D₈	—	2	1	no	—
471	C₂×D₈	—	2	1	no	—
472	C₂×M₁₆	—	2	1	no	—
473	C₂×M₁₆	—	2	1	no	—
474	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
475	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
476	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
477	#127	C₂³×C₁₇	1	1	yes	characteristic
478	#126	—	2	2	no	—
479	#126	—	2	2	no	—
480	#126	—	2	2	no	—
481	#125	—	2	2	no	—
482	#125	—	2	1	no	—
483	#125	—	2	1	no	—
484	#124	—	2	2	no	—
485	#124	—	2	1	no	—
486	#124	—	2	1	no	—
487	#123	—	2	2	no	—
488	#123	—	2	2	no	—
489	#123	—	2	2	no	—
490	#123	—	2	2	no	—
491	C₂²⋊Q₈	—	2	1	no	—
492	C₂²⋊Q₈	—	2	1	no	—
493	C₂²⋊Q₈	—	2	2	no	—
494	C₂²⋊Q₈	—	2	1	no	—
495	C₂²⋊Q₈	—	2	1	no	—
496	C₂²⋊Q₈	D₄×C₁₇	1	2	yes	—
497	#121	—	2	2	no	—
498	#121	—	2	1	no	—
499	#121	—	2	1	no	—
500	#121	—	2	1	no	—
501	#121	—	2	1	no	—
502	#121	—	2	1	no	—
503	#120	—	2	2	no	—
504	C₄×Q₈	—	2	1	no	—
505	C₄×Q₈	—	2	1	no	—
506	C₄×Q₈	D₄×C₁₇	1	1	yes	characteristic
507	C₄×Q₈	D₄×C₁₇	1	2	yes	—
508	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
509	C₄×D₄	—	2	2	no	—
510	C₄×D₄	—	2	2	no	—
511	C₄×D₄	—	2	2	no	—
512	C₄×D₄	—	2	1	no	—
513	C₄×D₄	—	2	1	no	—
514	C₄×D₄	—	2	1	no	—
515	C₄×D₄	—	2	1	no	—
516	C₄×D₄	—	2	1	no	—
517	C₄×D₄	—	2	1	no	—
518	C₄×D₄	—	2	1	no	—
519	C₄×D₄	D₄×C₁₇	1	1	yes	characteristic
520	C₄×D₄	D₄×C₁₇	1	1	yes	characteristic
521	C₄×D₄	D₄×C₁₇	1	1	yes	characteristic
522	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
523	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
524	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
525	#117	—	2	2	no	—
526	#117	—	2	2	no	—
527	#117	—	2	2	no	—
528	#117	—	2	1	no	—
529	#117	—	2	1	no	—
530	#117	—	2	1	no	—
531	#117	—	2	1	no	—
532	#117	—	2	1	no	—
533	#117	D₄×C₁₇	1	1	yes	characteristic
534	C₂×C₄⋊C₄	—	2	1	no	—
535	C₂×C₄⋊C₄	—	2	1	no	—
536	C₂×C₄⋊C₄	D₄×C₁₇	1	1	yes	characteristic
537	C₂×C₂²⋊C₄	—	2	2	no	—
538	C₂×C₂²⋊C₄	—	2	1	no	—
539	C₂×C₄²	—	2	2	no	—
540	C₂×C₄²	—	2	1	no	—
541	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
542	#107	—	2	2	no	—
543	#107	—	2	1	no	—
544	#106	—	2	1	no	—
545	C₄⋊C₈	—	2	1	no	—
546	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
547	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
548	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
549	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
550	#103	—	2	1	no	—
551	#103	—	2	2	no	—
552	#103	—	2	1	no	—
553	#103	—	2	1	no	—
554	#102	—	2	1	no	—
555	#102	—	2	1	no	—
556	#102	—	2	1	no	—
557	#102	—	2	1	no	—
558	#102	—	2	2	no	—
559	#102	—	2	1	no	—
560	C₂²⋊C₈	—	2	1	no	—
561	#97	—	2	1	no	—
562	#97	—	2	1	no	—
563	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
564	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
565	C₁₇	#18560	1	1	yes	characteristic, direct product factor, Sylow
566	C₂⁴	—	2	1	no	—
567	#41	—	4	1	no	—
568	#41	—	4	1	no	—
569	#41	—	4	2	no	—
570	#41	—	4	2	no	—
571	#41	—	4	2	no	—
572	#41	—	4	2	no	—
573	C₂×Q₈	—	2	1	no	—
574	C₂×Q₈	—	2	1	no	—
575	C₂×Q₈	C₂×D₄×C₁₇	1	1	yes	characteristic
576	C₂×Q₈	C₂×D₄×C₁₇	1	2	yes	—
577	C₂×D₄	—	2	2	no	—
578	C₂×D₄	—	2	2	no	—
579	C₂×D₄	—	2	1	no	—
580	C₂×D₄	—	2	2	no	—
581	C₂×D₄	—	2	1	no	—
582	C₂×D₄	—	2	1	no	—
583	C₂×D₄	—	2	1	no	—
584	C₂×D₄	—	2	1	no	—
585	C₂×D₄	—	4	1	no	—
586	C₂×D₄	—	4	1	no	—
587	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
588	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
589	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
590	C₂²×C₄	—	2	2	no	—
591	C₂²×C₄	—	2	1	no	—
592	C₂²×C₄	—	2	2	no	—
593	C₂²×C₄	—	2	1	no	—
594	C₂²×C₄	—	2	1	no	—
595	C₂²×C₄	—	2	1	no	—
596	C₂²×C₄	—	2	1	no	—
597	C₂²×C₄	—	2	1	no	—
598	C₂²×C₄	—	2	1	no	—
599	C₂²×C₄	—	2	1	no	—
600	C₂²×C₄	—	4	2	no	—
601	C₂²×C₄	—	4	2	no	—
602	C₂²×C₄	—	4	1	no	—
603	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
604	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
605	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
606	SD₁₆	—	4	4	no	—
607	SD₁₆	—	4	2	no	—
608	SD₁₆	—	4	2	no	—
609	SD₁₆	—	4	2	no	—
610	D₈	—	4	2	no	—
611	D₈	—	4	2	no	—
612	D₈	—	4	2	no	—
613	M₁₆	—	4	2	no	—
614	M₁₆	—	4	2	no	—
615	C₂×C₈	—	2	1	no	—
616	C₂×C₈	—	2	1	no	—
617	C₂×C₈	—	2	1	no	—
618	C₂×C₈	—	2	1	no	—
619	C₂×C₈	—	2	1	no	—
620	C₂×C₈	—	2	1	no	—
621	C₄⋊C₄	—	2	2	no	—
622	C₄⋊C₄	—	2	2	no	—
623	C₄⋊C₄	—	2	2	no	—
624	C₄⋊C₄	—	2	2	no	—
625	C₄⋊C₄	—	2	1	no	—
626	C₄⋊C₄	—	2	1	no	—
627	C₄⋊C₄	—	2	1	no	—
628	C₄⋊C₄	—	2	1	no	—
629	C₄⋊C₄	—	2	1	no	—
630	C₄⋊C₄	—	2	2	no	—
631	C₄⋊C₄	—	2	1	no	—
632	C₄⋊C₄	—	2	2	no	—
633	C₄⋊C₄	—	2	1	no	—
634	C₄⋊C₄	—	2	1	no	—
635	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
636	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
637	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
638	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
639	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
640	C₂²⋊C₄	—	2	2	no	—
641	C₂²⋊C₄	—	2	2	no	—
642	C₂²⋊C₄	—	2	2	no	—
643	C₂²⋊C₄	—	2	2	no	—
644	C₂²⋊C₄	—	2	2	no	—
645	C₂²⋊C₄	—	2	2	no	—
646	C₂²⋊C₄	—	2	1	no	—
647	C₂²⋊C₄	—	2	2	no	—
648	C₂²⋊C₄	—	2	1	no	—
649	C₂²⋊C₄	—	2	1	no	—
650	C₂²⋊C₄	—	2	1	no	—
651	C₂²⋊C₄	—	2	1	no	—
652	C₂²⋊C₄	—	2	1	no	—
653	C₂²⋊C₄	—	2	1	no	—
654	C₂²⋊C₄	—	4	1	no	—
655	C₂²⋊C₄	—	4	1	no	—
656	C₄²	—	2	2	no	—
657	C₄²	—	2	2	no	—
658	C₄²	—	2	1	no	—
659	C₄²	—	2	1	no	—
660	C₄²	—	2	2	no	—
661	C₄²	—	2	1	no	—
662	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
663	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
664	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
665	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
666	C₂³	—	2	1	no	—
667	C₂³	—	2	1	no	—
668	C₂³	—	2	1	no	—
669	C₂³	—	4	2	no	—
670	C₂³	—	4	2	no	—
671	C₂³	—	4	1	no	—
672	C₂³	—	8	1	no	—
673	C₂³	C₁₇×#120	1	1	yes	characteristic
674	Q₈	—	2	1	no	—
675	Q₈	—	2	1	no	—
676	Q₈	—	4	2	no	—
677	Q₈	—	4	1	no	—
678	Q₈	—	4	1	no	—
679	Q₈	—	4	1	no	—
680	Q₈	—	4	1	no	—
681	D₄	—	2	1	no	—
682	D₄	—	2	1	no	—
683	D₄	—	2	1	no	—
684	D₄	—	2	1	no	—
685	D₄	—	2	1	no	—
686	D₄	—	4	2	no	—
687	D₄	—	4	2	no	—
688	D₄	—	4	2	no	—
689	D₄	—	4	4	no	—
690	D₄	—	4	1	no	—
691	D₄	—	4	1	no	—
692	D₄	—	4	1	no	—
693	D₄	—	4	1	no	—
694	D₄	—	8	2	no	—
695	D₄	—	8	2	no	—
696	D₄	C₁₇×AGL(1,ℤ/8)	1	2	yes	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	1	no	—
701	C₂×C₄	—	2	1	no	—
702	C₂×C₄	—	2	1	no	—
703	C₂×C₄	—	2	1	no	—
704	C₂×C₄	—	2	1	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	2	no	—
707	C₂×C₄	—	2	1	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	2	no	—
710	C₂×C₄	—	4	2	no	—
711	C₂×C₄	—	4	2	no	—
712	C₂×C₄	—	4	2	no	—
713	C₂×C₄	—	4	4	no	—
714	C₂×C₄	—	4	1	no	—
715	C₂×C₄	—	4	1	no	—
716	C₂×C₄	—	4	1	no	—
717	C₂×C₄	—	4	1	no	—
718	C₂×C₄	—	4	1	no	—
719	C₂×C₄	—	4	1	no	—
720	C₂×C₄	—	4	1	no	—
721	C₂×C₄	—	8	1	no	—
722	C₂×C₄	—	8	2	no	—
723	C₂×C₄	—	8	2	no	—
724	C₂×C₄	C₁₇×#120	1	1	yes	characteristic
725	C₂×C₄	C₁₇×#120	1	1	yes	characteristic
726	C₂×C₄	C₁₇×#120	1	1	yes	characteristic
727	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
728	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
729	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
730	C₈	—	2	2	no	—
731	C₈	—	4	1	no	—
732	C₈	—	4	1	no	—
733	C₈	—	4	1	no	—
734	C₈	—	4	1	no	—
735	C₈	—	4	1	no	—
736	C₂²	—	2	1	no	—
737	C₂²	—	2	1	no	—
738	C₂²	—	2	2	no	—
739	C₂²	—	2	1	no	—
740	C₂²	—	4	1	no	—
741	C₂²	—	4	1	no	—
742	C₂²	—	4	1	no	—
743	C₂²	—	4	1	no	—
744	C₂²	—	4	1	no	—
745	C₂²	—	4	1	no	—
746	C₂²	—	4	1	no	—
747	C₂²	—	4	1	no	—
748	C₂²	—	8	4	no	—
749	C₂²	—	8	1	no	—
750	C₂²	—	8	1	no	—
751	C₂²	—	8	1	no	—
752	C₂²	C₂×C₁₇×#120	1	1	yes	characteristic
753	C₄	—	2	1	no	—
754	C₄	—	2	1	no	—
755	C₄	—	2	1	no	—
756	C₄	—	2	1	no	—
757	C₄	—	4	1	no	—
758	C₄	—	4	1	no	—
759	C₄	—	4	1	no	—
760	C₄	—	4	1	no	—
761	C₄	—	4	2	no	—
762	C₄	—	4	1	no	—
763	C₄	—	4	2	no	—
764	C₄	—	8	1	no	—
765	C₄	C₂×C₁₇×AGL(1,ℤ/8)	1	1	yes	characteristic
766	C₄	C₁₇×#575	1	1	yes	characteristic
767	C₄	C₁₇×#575	1	1	yes	characteristic
768	C₄	C₁₇×#575	1	1	yes	characteristic
769	C₂	—	4	1	no	—
770	C₂	—	4	2	no	—
771	C₂	—	8	1	no	—
772	C₂	—	8	1	no	—
773	C₂	—	16	1	no	—
774	C₂	C₁₇×#3005	1	1	yes	characteristic
775	C₂	C₁₇×#3006	1	1	yes	characteristic
776	C₂	C₁₇×#3018	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₇	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₇
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₇ ◁ C₂×C₄²×C₁₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₇×#3475	C₂	semidirect
2. C₁₇×#3182	C₂	semidirect
3. C₁₇×#3115	C₂	semidirect
4. C₁₇×#3036	C₂	semidirect
5. C₁₇×#1650	C₂	semidirect
6. C₁₇×#1647	C₂	semidirect
7. C₁₇×#1646	C₂	semidirect
8. C₁₇×#1643	C₂	semidirect
9. C₁₇×#1628	C₂	semidirect
10. C₁₇×#1625	C₂	semidirect
11. C₁₇×#1624	C₂	semidirect
12. C₁₇×#1622	C₂	semidirect
13. C₁₇×#1559	C₂	semidirect
14. C₁₇×#1490	C₂	semidirect
15. C₁₇×#1489	C₂	semidirect
35. C₁₇×#500	C₂²	semidirect
36. C₁₇×#492	C₂²	semidirect
37. C₁₇×#487	C₂²	semidirect
38. C₁₇×#486	C₂²	semidirect
40. C₁₇×#475	C₂²	semidirect
41. C₁₇×#474	C₂²	semidirect
47. C₁₇×#460	C₂²	semidirect
50. C₁₇×#459	C₂²	semidirect
59. C₁₇×#333	C₂²	semidirect
60. C₁₇×#333	C₂²	semidirect
61. C₁₇×#332	C₂²	semidirect
62. C₁₇×#332	C₂²	semidirect
63. C₁₇×Q₈⋊C₈	C₂²	semidirect
64. C₁₇×Q₈⋊C₈	C₂²	semidirect
69. C₁₇×D₄⋊C₈	C₂²	semidirect
70. C₁₇×D₄⋊C₈	C₂²	semidirect
277. #18560	C₁₇	direct (N × H)
348. #3475	C₂×C₁₇	semidirect
349. #3182	C₂×C₁₇	semidirect
350. #3115	C₂×C₁₇	semidirect
351. #3036	C₂×C₁₇	semidirect
352. #1650	C₂×C₁₇	semidirect
353. #1647	C₂×C₁₇	semidirect
354. #1646	C₂×C₁₇	semidirect
355. #1643	C₂×C₁₇	semidirect
356. #1628	C₂×C₁₇	semidirect
357. #1625	C₂×C₁₇	semidirect
358. #1624	C₂×C₁₇	semidirect
359. #1622	C₂×C₁₇	semidirect
360. #1559	C₂×C₁₇	semidirect
361. #1490	C₂×C₁₇	semidirect
362. #1489	C₂×C₁₇	semidirect
415. #500	C₂²×C₁₇	semidirect
416. #492	C₂²×C₁₇	semidirect
417. #487	C₂²×C₁₇	semidirect
418. #486	C₂²×C₁₇	semidirect
420. #475	C₂²×C₁₇	semidirect
421. #474	C₂²×C₁₇	semidirect
427. #460	C₂²×C₁₇	semidirect
430. #459	C₂²×C₁₇	semidirect
439. #333	C₂²×C₁₇	semidirect
440. #333	C₂²×C₁₇	semidirect
441. #332	C₂²×C₁₇	semidirect
442. #332	C₂²×C₁₇	semidirect
443. Q₈⋊C₈	C₂²×C₁₇	semidirect
444. Q₈⋊C₈	C₂²×C₁₇	semidirect
449. D₄⋊C₈	C₂²×C₁₇	semidirect
450. D₄⋊C₈	C₂²×C₁₇	semidirect
565. C₁₇	#18560	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₇×#3475	2
C₁₇×#3182	2
C₁₇×#3115	2
C₁₇×#3036	2
C₁₇×#1650	2
C₁₇×#1647	2
C₁₇×#1646	2
C₁₇×#1643	2
C₁₇×#1628	2
C₁₇×#1625	2
C₁₇×#1624	2
C₁₇×#1622	2
C₁₇×#1559	2
C₁₇×#1490	2
C₁₇×#1489	2
#18560	17

Subgroups — C17×#18560 #16876304

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#18560 #16876304