Subgroups — C₁₇×#61385 #16919129

Order 4352.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#3504	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₇×#3389	C₂	1	2	yes	maximal, complemented
4	C₁₇×#3389	C₂	1	2	yes	maximal, complemented
5	C₁₇×#3388	C₂	1	2	yes	maximal, complemented
6	C₁₇×#3388	C₂	1	2	yes	maximal, complemented
7	C₁₇×#3386	C₂	1	2	yes	maximal, complemented
8	C₁₇×#3384	C₂	1	2	yes	maximal, complemented
9	C₁₇×#3381	C₂	1	2	yes	maximal, complemented
10	C₁₇×#3380	C₂	1	2	yes	maximal, complemented
11	C₁₇×#3166	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#3164	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#3163	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#3084	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#3083	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₇×#3076	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₇×#478	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₇×#2962	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₇×#2946	C₂	1	1	yes	maximal, characteristic
22	C₁₇×#2946	C₂	1	1	yes	maximal, characteristic
23	C₄×C₁₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic
24	C₂×C₁₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₁₇×#557	C₂²	1	2	yes	complemented
26	C₁₇×#557	C₂²	1	2	yes	complemented
27	C₁₇×#554	—	2	1	no	—
28	C₁₇×#554	—	2	1	no	—
29	C₁₇×#554	—	2	1	no	—
30	C₁₇×#554	—	2	2	no	—
31	C₁₇×#554	—	2	2	no	—
32	C₁₇×#554	C₂²	1	2	yes	—
33	C₁₇×#554	C₂²	1	2	yes	—
34	C₁₇×#554	C₂²	1	2	yes	—
35	C₁₇×#554	C₂²	1	2	yes	complemented
36	C₁₇×#554	C₂²	1	2	yes	complemented
37	D₄×Q₈×C₁₇	—	2	1	no	—
38	D₄×Q₈×C₁₇	C₂²	1	2	yes	—
39	C₁₇×#544	—	2	1	no	—
40	C₁₇×#544	—	2	1	no	—
41	C₁₇×#544	C₂²	1	1	yes	characteristic
42	C₁₇×#544	C₂²	1	1	yes	characteristic
43	C₁₇×#544	C₂²	1	1	yes	characteristic
44	C₁₇×#544	C₂²	1	1	yes	characteristic
45	C₁₇×#543	—	2	2	no	—
46	C₁₇×#533	—	2	1	no	—
47	C₁₇×#533	C₂²	1	1	yes	characteristic
48	C₁₇×#533	C₂²	1	1	yes	characteristic
49	C₂×C₁₇×#125	—	2	1	no	—
50	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
51	C₂×C₁₇×C₂²⋊Q₈	—	2	2	no	—
52	C₁₇×#520	C₂²	1	1	yes	characteristic
53	C₁₇×#520	C₂²	1	1	yes	characteristic
54	C₁₇×#518	C₂²	1	1	yes	characteristic
55	C₁₇×#518	C₂²	1	1	yes	characteristic
56	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
58	C₁₇×#501	C₂²	1	2	yes	complemented
59	C₁₇×#501	C₂²	1	2	yes	complemented
60	C₁₇×#501	C₂²	1	2	yes	complemented
61	C₁₇×#501	C₂²	1	2	yes	complemented
62	C₁₇×#501	C₂²	1	2	yes	complemented
63	C₁₇×#501	C₂²	1	2	yes	complemented
64	C₁₇×#500	C₂²	1	2	yes	complemented
65	C₁₇×#499	C₂²	1	2	yes	complemented
66	C₁₇×#499	C₂²	1	2	yes	complemented
67	C₁₇×#499	C₂²	1	2	yes	complemented
68	C₁₇×#499	C₂²	1	2	yes	complemented
69	C₁₇×#498	C₂²	1	2	yes	complemented
70	C₁₇×#479	C₂²	1	1	yes	characteristic, complemented
71	C₁₇×#479	C₂²	1	1	yes	characteristic, complemented
72	C₁₇×#479	C₂²	1	2	yes	complemented
73	C₁₇×#479	C₂²	1	2	yes	complemented
74	C₁₇×#478	C₂²	1	2	yes	—
75	C₁₇×#478	C₂²	1	2	yes	—
76	C₁₇×#478	C₂²	1	2	yes	—
77	C₁₇×#478	C₂²	1	2	yes	—
78	C₁₇×#478	C₂²	1	2	yes	—
79	C₁₇×#478	C₂²	1	2	yes	—
80	C₁₇×#478	C₂²	1	2	yes	—
81	C₁₇×#478	C₂²	1	2	yes	—
82	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
83	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
84	C₁₇×#478	C₂²	1	2	yes	complemented
85	C₁₇×#478	C₂²	1	2	yes	complemented
86	C₁₇×#477	C₂²	1	1	yes	characteristic, complemented
87	C₁₇×#477	C₂²	1	2	yes	complemented
88	C₁₇×#476	C₂²	1	2	yes	—
89	C₁₇×#476	C₂²	1	2	yes	—
90	C₁₇×#476	C₂²	1	1	yes	characteristic, complemented
91	C₁₇×#476	C₂²	1	2	yes	complemented
92	C₁₇×#475	C₂²	1	1	yes	characteristic, complemented
93	C₁₇×#475	C₂²	1	2	yes	complemented
94	C₁₇×#474	C₂²	1	2	yes	—
95	C₁₇×#474	C₂²	1	2	yes	—
96	C₁₇×#474	C₂²	1	1	yes	characteristic, complemented
97	C₁₇×#474	C₂²	1	2	yes	complemented
98	C₁₇×#446	C₂²	1	2	yes	complemented
99	C₁₇×#446	C₂²	1	2	yes	complemented
100	C₁₇×#446	C₂²	1	2	yes	complemented
101	C₈×Q₈×C₁₇	C₂²	1	2	yes	complemented
102	C₁₇×#442	C₂²	1	2	yes	—
103	C₁₇×#442	C₂²	1	2	yes	—
104	C₁₇×#442	C₂²	1	2	yes	—
105	C₁₇×#440	C₂²	1	2	yes	—
106	C₁₇×#440	C₂²	1	2	yes	—
107	C₁₇×#440	C₂²	1	2	yes	—
108	C₄×SD₁₆×C₁₇	C₂²	1	2	yes	—
109	C₄×SD₁₆×C₁₇	C₂²	1	2	yes	—
110	C₄×SD₁₆×C₁₇	C₂²	1	2	yes	—
111	C₄×D₈×C₁₇	C₂²	1	2	yes	—
112	C₄×D₈×C₁₇	C₂²	1	2	yes	—
113	C₄×D₈×C₁₇	C₂²	1	2	yes	—
114	C₁₇×#428	C₂²	1	1	yes	characteristic
115	C₁₇×#428	C₂²	1	1	yes	characteristic
116	C₁₇×#428	C₂²	1	1	yes	characteristic
117	C₁₇×#428	C₂²	1	1	yes	characteristic
118	C₁₇×#428	C₂²	1	1	yes	characteristic
119	C₁₇×#427	C₂²	1	1	yes	characteristic
120	C₁₇×#427	C₂²	1	1	yes	characteristic
121	C₂×C₁₇×#107	C₂²	1	1	yes	characteristic
122	C₂×C₁₇×#106	C₂²	1	1	yes	characteristic
123	C₁₇×#424	C₂²	1	1	yes	characteristic
124	C₁₇×#424	C₂²	1	1	yes	characteristic
125	C₂×C₁₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₁₇×#418	C₂²	1	1	yes	characteristic
127	C₁₇×#417	C₂²	1	1	yes	characteristic
128	C₁₇×#416	C₂²	1	1	yes	characteristic
129	C₁₇×#416	C₂²	1	1	yes	characteristic
130	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
131	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
132	C₁₇×#405	C₂²	1	1	yes	characteristic
133	C₁₇×#405	C₂²	1	1	yes	characteristic
134	C₄×M₁₆×C₁₇	C₂²	1	1	yes	characteristic
135	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₁₇	—	2	2	no	—
137	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₇	—	2	1	no	—
139	C₁₇×AGL(1,ℤ/8)	Q₈	1	8	yes	complemented
140	C₂×SD₁₆×C₁₇	C₂³	1	2	yes	—
141	C₂×D₈×C₁₇	C₂³	1	2	yes	—
142	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
143	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
146	C₁₇×C₄⋊Q₈	—	2	2	no	—
147	C₁₇×C₄⋊Q₈	—	2	2	no	—
148	C₁₇×C₄⋊Q₈	—	2	1	no	—
149	C₁₇×C₄⋊Q₈	—	2	1	no	—
150	C₁₇×C₄⋊Q₈	—	2	1	no	—
151	C₁₇×C₄⋊Q₈	—	2	1	no	—
152	C₁₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
153	C₁₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
154	C₁₇×C₄⋊Q₈	C₂³	1	2	yes	—
155	C₁₇×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₁₇×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₁₇×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₇×#125	—	2	1	no	—
161	C₁₇×#125	—	2	1	no	—
162	C₁₇×#125	—	2	2	no	—
163	C₁₇×#125	—	2	2	no	—
164	C₁₇×#125	—	2	2	no	—
165	C₁₇×#125	—	2	2	no	—
166	C₁₇×#125	—	2	1	no	—
167	C₁₇×#125	—	2	1	no	—
168	C₁₇×#125	—	2	1	no	—
169	C₁₇×#125	—	2	1	no	—
170	C₁₇×#125	D₄	1	1	yes	characteristic
171	C₁₇×#125	D₄	1	1	yes	characteristic
172	C₁₇×#125	C₂³	1	2	yes	—
173	C₁₇×#125	C₂³	1	1	yes	characteristic
174	C₁₇×#125	C₂³	1	1	yes	characteristic
175	C₁₇×#125	C₂³	1	2	yes	—
176	C₁₇×#125	C₂³	1	2	yes	—
177	C₁₇×#125	C₂³	1	2	yes	—
178	C₁₇×#125	C₂³	1	2	yes	—
179	C₁₇×#125	C₂³	1	2	yes	—
180	C₁₇×C₂²⋊Q₈	—	2	2	no	—
181	C₁₇×C₂²⋊Q₈	—	2	2	no	—
182	C₁₇×C₂²⋊Q₈	—	2	2	no	—
183	C₁₇×C₂²⋊Q₈	—	2	2	no	—
184	C₁₇×C₂²⋊Q₈	—	2	2	no	—
185	C₁₇×C₂²⋊Q₈	—	2	1	no	—
186	C₁₇×C₂²⋊Q₈	—	2	1	no	—
187	C₁₇×C₂²⋊Q₈	—	2	2	no	—
188	C₁₇×C₂²⋊Q₈	—	2	2	no	—
189	C₁₇×C₂²⋊Q₈	—	2	2	no	—
190	C₁₇×C₂²⋊Q₈	—	2	2	no	—
191	C₁₇×C₂²⋊Q₈	—	2	2	no	—
192	C₁₇×C₂²⋊Q₈	—	2	2	no	—
193	C₁₇×C₂²⋊Q₈	—	2	2	no	—
194	C₁₇×C₂²⋊Q₈	—	2	2	no	—
195	C₁₇×C₂²⋊Q₈	—	2	2	no	—
196	C₁₇×C₂²⋊Q₈	—	2	2	no	—
197	C₁₇×C₂²⋊Q₈	—	2	2	no	—
198	C₁₇×C₂²⋊Q₈	—	2	2	no	—
199	C₁₇×C₂²⋊Q₈	—	2	2	no	—
200	C₁₇×C₂²⋊Q₈	—	2	2	no	—
201	C₁₇×C₂²⋊Q₈	—	2	2	no	—
202	C₁₇×C₂²⋊Q₈	—	2	2	no	—
203	C₁₇×C₂²⋊Q₈	—	2	2	no	—
204	C₁₇×C₂²⋊Q₈	D₄	1	2	yes	—
205	C₁₇×C₂²⋊Q₈	D₄	1	2	yes	—
206	C₄×Q₈×C₁₇	—	2	2	no	—
207	C₄×Q₈×C₁₇	—	2	2	no	—
208	C₄×Q₈×C₁₇	—	2	1	no	—
209	C₄×Q₈×C₁₇	—	2	1	no	—
210	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
211	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
212	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
213	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
214	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
215	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
216	C₄×D₄×C₁₇	—	2	1	no	—
217	C₄×D₄×C₁₇	—	2	1	no	—
218	C₄×D₄×C₁₇	—	2	1	no	—
219	C₄×D₄×C₁₇	—	2	1	no	—
220	C₄×D₄×C₁₇	—	2	1	no	—
221	C₄×D₄×C₁₇	—	2	1	no	—
222	C₄×D₄×C₁₇	—	2	2	no	—
223	C₄×D₄×C₁₇	—	2	2	no	—
224	C₄×D₄×C₁₇	—	2	1	no	—
225	C₄×D₄×C₁₇	—	2	1	no	—
226	C₄×D₄×C₁₇	C₂³	1	2	yes	—
227	C₄×D₄×C₁₇	C₂³	1	2	yes	—
228	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
230	C₄×D₄×C₁₇	C₂³	1	2	yes	—
231	C₄×D₄×C₁₇	C₂³	1	2	yes	—
232	C₄×D₄×C₁₇	C₂³	1	2	yes	—
233	C₄×D₄×C₁₇	C₂³	1	2	yes	—
234	C₄×D₄×C₁₇	C₂³	1	2	yes	—
235	C₄×D₄×C₁₇	C₂³	1	2	yes	—
236	C₁₇×#117	—	2	1	no	—
237	C₁₇×#117	—	2	1	no	—
238	C₁₇×#117	—	2	1	no	—
239	C₁₇×#117	C₂³	1	1	yes	characteristic
240	C₁₇×#117	C₂³	1	1	yes	characteristic
241	C₁₇×#117	C₂³	1	1	yes	characteristic
242	C₁₇×#117	C₂³	1	1	yes	characteristic
243	C₁₇×#117	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
245	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
246	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
247	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
248	C₂×C₄⋊C₄×C₁₇	—	2	2	no	—
249	C₂×C₄⋊C₄×C₁₇	—	2	2	no	—
250	C₂×C₄⋊C₄×C₁₇	—	2	2	no	—
251	C₂×C₄⋊C₄×C₁₇	—	2	2	no	—
252	C₂×C₄⋊C₄×C₁₇	—	2	2	no	—
253	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
257	C₂×C₂²⋊C₄×C₁₇	—	2	2	no	—
258	C₂×C₂²⋊C₄×C₁₇	—	2	2	no	—
259	C₂×C₄²×C₁₇	—	2	1	no	—
260	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
261	C₁₇×#107	C₂³	1	2	yes	—
262	C₁₇×#107	C₂³	1	1	yes	characteristic
263	C₁₇×#107	C₂³	1	2	yes	—
264	C₁₇×#107	C₂³	1	2	yes	—
265	C₁₇×#107	C₂³	1	2	yes	—
266	C₁₇×#107	C₂³	1	2	yes	—
267	C₁₇×#107	C₂³	1	2	yes	—
268	C₁₇×#107	C₂³	1	1	yes	characteristic
269	C₁₇×#107	C₂³	1	2	yes	—
270	C₁₇×#107	C₂³	1	1	yes	characteristic
271	C₁₇×#107	C₂³	1	1	yes	characteristic
272	C₁₇×#106	C₂³	1	1	yes	characteristic
273	C₁₇×#106	C₂³	1	2	yes	—
274	C₁₇×#106	C₂³	1	2	yes	—
275	C₁₇×#106	C₂³	1	2	yes	—
276	C₁₇×#106	C₂³	1	2	yes	—
277	C₁₇×#106	C₂³	1	1	yes	characteristic
278	C₁₇×#106	C₂³	1	2	yes	—
279	C₁₇×#106	C₂³	1	2	yes	—
280	C₁₇×#106	C₂³	1	2	yes	—
281	C₁₇×#106	C₂³	1	1	yes	characteristic
282	C₁₇×#106	C₂³	1	1	yes	characteristic
283	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
288	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
289	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
290	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
291	C₁₇×#103	C₂³	1	1	yes	characteristic
292	C₁₇×#103	C₂³	1	1	yes	characteristic
293	C₁₇×#103	C₂³	1	1	yes	characteristic
294	C₁₇×#103	C₂³	1	1	yes	characteristic
295	C₁₇×#103	C₂³	1	2	yes	—
296	C₁₇×#102	C₂³	1	2	yes	—
297	C₁₇×#102	C₂³	1	2	yes	—
298	C₁₇×#102	C₂³	1	2	yes	—
299	C₁₇×#102	C₂³	1	2	yes	—
300	C₁₇×#102	C₂³	1	1	yes	characteristic
301	C₁₇×#102	C₂³	1	1	yes	characteristic
302	C₁₇×#102	C₂³	1	1	yes	characteristic
303	C₁₇×#102	C₂³	1	1	yes	characteristic
304	C₁₇×#102	C₂³	1	2	yes	—
305	C₁₇×#102	C₂³	1	2	yes	—
306	C₁₇×#102	C₂³	1	2	yes	—
307	C₁₇×#97	C₂³	1	2	yes	—
308	C₁₇×#97	C₂³	1	2	yes	—
309	C₁₇×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₇	C₂³	1	2	yes	—
311	C₄×C₈×C₁₇	C₂³	1	2	yes	—
312	C₄×C₈×C₁₇	C₂³	1	2	yes	—
313	C₂⁴×C₁₇	—	2	1	no	—
314	#41×C₁₇	—	2	2	no	—
315	#41×C₁₇	C₂×Q₈	1	4	yes	complemented
316	C₂×Q₈×C₁₇	—	2	1	no	—
317	C₂×Q₈×C₁₇	—	2	1	no	—
318	C₂×Q₈×C₁₇	—	2	2	no	—
319	C₂×Q₈×C₁₇	—	2	2	no	—
320	C₂×Q₈×C₁₇	—	2	2	no	—
321	C₂×Q₈×C₁₇	—	2	2	no	—
322	C₂×Q₈×C₁₇	—	8	4	no	—
323	C₂×Q₈×C₁₇	C₂×D₄	1	2	yes	—
324	C₂×Q₈×C₁₇	C₂×D₄	1	2	yes	—
325	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₁₇	—	2	1	no	—
327	C₂×D₄×C₁₇	—	2	1	no	—
328	C₂×D₄×C₁₇	—	2	2	no	—
329	C₂×D₄×C₁₇	C₂×Q₈	1	4	yes	—
330	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₁₇	—	2	1	no	—
333	C₂²×C₄×C₁₇	—	2	1	no	—
334	C₂²×C₄×C₁₇	—	2	1	no	—
335	C₂²×C₄×C₁₇	—	2	1	no	—
336	C₂²×C₄×C₁₇	—	2	2	no	—
337	C₂²×C₄×C₁₇	—	2	2	no	—
338	C₂²×C₄×C₁₇	—	2	2	no	—
339	C₂²×C₄×C₁₇	—	2	2	no	—
340	C₂²×C₄×C₁₇	—	2	1	no	—
341	C₂²×C₄×C₁₇	—	2	1	no	—
342	C₂²×C₄×C₁₇	—	2	2	no	—
343	C₂²×C₄×C₁₇	—	2	2	no	—
344	C₂²×C₄×C₁₇	—	2	2	no	—
345	C₂²×C₄×C₁₇	—	2	2	no	—
346	C₂²×C₄×C₁₇	—	8	2	no	—
347	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
350	SD₁₆×C₁₇	C₂×Q₈	1	8	yes	complemented
351	D₈×C₁₇	C₂×Q₈	1	8	yes	complemented
352	M₁₆×C₁₇	—	2	2	no	—
353	M₁₆×C₁₇	C₂×Q₈	1	4	yes	complemented
354	C₂×C₈×C₁₇	—	2	2	no	—
355	C₂×C₈×C₁₇	—	2	2	no	—
356	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
357	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
358	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
360	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
361	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
362	C₄⋊C₄×C₁₇	—	2	1	no	—
363	C₄⋊C₄×C₁₇	—	2	1	no	—
364	C₄⋊C₄×C₁₇	—	2	1	no	—
365	C₄⋊C₄×C₁₇	—	2	2	no	—
366	C₄⋊C₄×C₁₇	—	2	2	no	—
367	C₄⋊C₄×C₁₇	—	2	2	no	—
368	C₄⋊C₄×C₁₇	—	2	2	no	—
369	C₄⋊C₄×C₁₇	—	2	2	no	—
370	C₄⋊C₄×C₁₇	—	2	2	no	—
371	C₄⋊C₄×C₁₇	—	2	2	no	—
372	C₄⋊C₄×C₁₇	—	2	2	no	—
373	C₄⋊C₄×C₁₇	—	2	1	no	—
374	C₄⋊C₄×C₁₇	—	2	1	no	—
375	C₄⋊C₄×C₁₇	—	2	1	no	—
376	C₄⋊C₄×C₁₇	—	2	2	no	—
377	C₄⋊C₄×C₁₇	—	2	2	no	—
378	C₄⋊C₄×C₁₇	—	2	2	no	—
379	C₄⋊C₄×C₁₇	—	2	2	no	—
380	C₄⋊C₄×C₁₇	—	2	2	no	—
381	C₄⋊C₄×C₁₇	—	2	2	no	—
382	C₄⋊C₄×C₁₇	—	2	2	no	—
383	C₄⋊C₄×C₁₇	—	2	2	no	—
384	C₄⋊C₄×C₁₇	—	2	1	no	—
385	C₄⋊C₄×C₁₇	—	2	1	no	—
386	C₄⋊C₄×C₁₇	—	2	2	no	—
387	C₄⋊C₄×C₁₇	—	2	2	no	—
388	C₄⋊C₄×C₁₇	—	2	1	no	—
389	C₄⋊C₄×C₁₇	—	2	1	no	—
390	C₄⋊C₄×C₁₇	—	2	1	no	—
391	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
392	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
393	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
394	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
395	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
396	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
398	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
399	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
402	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
403	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
408	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
410	C₂²⋊C₄×C₁₇	—	2	1	no	—
411	C₂²⋊C₄×C₁₇	—	2	1	no	—
412	C₂²⋊C₄×C₁₇	—	2	1	no	—
413	C₂²⋊C₄×C₁₇	—	2	2	no	—
414	C₂²⋊C₄×C₁₇	—	2	2	no	—
415	C₂²⋊C₄×C₁₇	—	2	2	no	—
416	C₂²⋊C₄×C₁₇	—	2	2	no	—
417	C₂²⋊C₄×C₁₇	—	2	2	no	—
418	C₂²⋊C₄×C₁₇	—	2	2	no	—
419	C₂²⋊C₄×C₁₇	—	2	1	no	—
420	C₂²⋊C₄×C₁₇	—	2	1	no	—
421	C₂²⋊C₄×C₁₇	—	2	2	no	—
422	C₂²⋊C₄×C₁₇	—	2	2	no	—
423	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
424	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
425	C₄²×C₁₇	—	2	1	no	—
426	C₄²×C₁₇	—	2	1	no	—
427	C₄²×C₁₇	—	2	1	no	—
428	C₄²×C₁₇	—	2	2	no	—
429	C₄²×C₁₇	—	2	2	no	—
430	C₄²×C₁₇	—	2	1	no	—
431	C₄²×C₁₇	—	2	1	no	—
432	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
433	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
434	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
435	C₄²×C₁₇	C₂⁴	1	2	yes	—
436	C₄²×C₁₇	C₂⁴	1	2	yes	—
437	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
438	#61385	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
439	C₂³×C₁₇	—	2	1	no	—
440	C₂³×C₁₇	—	2	2	no	—
441	C₂³×C₁₇	—	2	4	no	—
442	C₂³×C₁₇	—	8	1	no	—
443	C₂³×C₁₇	—	8	1	no	—
444	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
445	Q₈×C₁₇	—	2	1	no	—
446	Q₈×C₁₇	—	4	2	no	—
447	Q₈×C₁₇	—	4	2	no	—
448	Q₈×C₁₇	—	4	2	no	—
449	Q₈×C₁₇	—	8	1	no	—
450	Q₈×C₁₇	—	8	2	no	—
451	Q₈×C₁₇	—	8	2	no	—
452	Q₈×C₁₇	—	8	2	no	—
453	Q₈×C₁₇	—	8	2	no	—
454	Q₈×C₁₇	C₂²×Q₈	1	2	yes	—
455	D₄×C₁₇	—	2	4	no	—
456	D₄×C₁₇	—	2	4	no	—
457	D₄×C₁₇	—	2	2	no	—
458	D₄×C₁₇	—	2	1	no	—
459	D₄×C₁₇	C₂²×Q₈	1	2	yes	—
460	D₄×C₁₇	C₂²×Q₈	1	4	yes	—
461	C₂×C₄×C₁₇	—	2	1	no	—
462	C₂×C₄×C₁₇	—	2	4	no	—
463	C₂×C₄×C₁₇	—	2	1	no	—
464	C₂×C₄×C₁₇	—	2	1	no	—
465	C₂×C₄×C₁₇	—	2	1	no	—
466	C₂×C₄×C₁₇	—	2	1	no	—
467	C₂×C₄×C₁₇	—	2	1	no	—
468	C₂×C₄×C₁₇	—	2	1	no	—
469	C₂×C₄×C₁₇	—	2	2	no	—
470	C₂×C₄×C₁₇	—	2	2	no	—
471	C₂×C₄×C₁₇	—	2	2	no	—
472	C₂×C₄×C₁₇	—	4	1	no	—
473	C₂×C₄×C₁₇	—	4	1	no	—
474	C₂×C₄×C₁₇	—	4	4	no	—
475	C₂×C₄×C₁₇	—	8	1	no	—
476	C₂×C₄×C₁₇	—	8	2	no	—
477	C₂×C₄×C₁₇	—	8	2	no	—
478	C₂×C₄×C₁₇	—	8	2	no	—
479	C₂×C₄×C₁₇	—	8	1	no	—
480	C₂×C₄×C₁₇	—	8	2	no	—
481	C₂×C₄×C₁₇	—	8	2	no	—
482	C₂×C₄×C₁₇	—	8	2	no	—
483	C₂×C₄×C₁₇	—	8	2	no	—
484	C₂×C₄×C₁₇	—	8	1	no	—
485	C₂×C₄×C₁₇	—	8	1	no	—
486	C₂×C₄×C₁₇	—	8	1	no	—
487	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
488	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
489	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
490	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
491	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
492	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
493	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
496	C₂×C₄×C₁₇	C₂²×Q₈	1	2	yes	—
497	C₂×C₄×C₁₇	2₋¹⁺⁴	1	2	yes	—
498	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
499	C₈×C₁₇	—	2	1	no	—
500	C₈×C₁₇	—	2	1	no	—
501	C₈×C₁₇	—	2	1	no	—
502	C₈×C₁₇	—	2	1	no	—
503	C₈×C₁₇	—	2	2	no	—
504	C₈×C₁₇	C₂²×Q₈	1	4	yes	—
505	#3504	C₂×C₁₇	1	1	yes	characteristic, complemented
506	#3501	C₂×C₁₇	1	1	yes	characteristic, complemented
507	#3389	C₂×C₁₇	1	2	yes	complemented
508	#3389	C₂×C₁₇	1	2	yes	complemented
509	#3388	C₂×C₁₇	1	2	yes	complemented
510	#3388	C₂×C₁₇	1	2	yes	complemented
511	#3386	C₂×C₁₇	1	2	yes	complemented
512	#3384	C₂×C₁₇	1	2	yes	complemented
513	#3381	C₂×C₁₇	1	2	yes	complemented
514	#3380	C₂×C₁₇	1	2	yes	complemented
515	#3166	C₂×C₁₇	1	1	yes	characteristic, complemented
516	#3164	C₂×C₁₇	1	1	yes	characteristic, complemented
517	#3163	C₂×C₁₇	1	1	yes	characteristic, complemented
518	#3084	C₂×C₁₇	1	1	yes	characteristic, complemented
519	#3083	C₂×C₁₇	1	1	yes	characteristic, complemented
520	#3081	C₂×C₁₇	1	1	yes	characteristic, complemented
521	#3081	C₂×C₁₇	1	1	yes	characteristic, complemented
522	#3076	C₂×C₁₇	1	1	yes	characteristic, complemented
523	C₂×#478	C₂×C₁₇	1	1	yes	characteristic, complemented
524	#2962	C₂×C₁₇	1	1	yes	characteristic, complemented
525	#2946	C₂×C₁₇	1	1	yes	characteristic
526	#2946	C₂×C₁₇	1	1	yes	characteristic
527	C₄×AGL(1,ℤ/8)	C₂×C₁₇	1	1	yes	characteristic
528	C₂²×C₁₇	—	2	1	no	—
529	C₂²×C₁₇	—	2	1	no	—
530	C₂²×C₁₇	—	2	2	no	—
531	C₂²×C₁₇	—	2	4	no	—
532	C₂²×C₁₇	—	4	1	no	—
533	C₂²×C₁₇	—	4	2	no	—
534	C₂²×C₁₇	—	4	2	no	—
535	C₂²×C₁₇	—	4	1	no	—
536	C₂²×C₁₇	—	8	4	no	—
537	C₂²×C₁₇	D₄×Q₈	1	2	yes	—
538	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
539	C₄×C₁₇	—	2	1	no	—
540	C₄×C₁₇	—	2	1	no	—
541	C₄×C₁₇	—	2	2	no	—
542	C₄×C₁₇	—	2	2	no	—
543	C₄×C₁₇	—	2	1	no	—
544	C₄×C₁₇	—	2	1	no	—
545	C₄×C₁₇	—	2	2	no	—
546	C₄×C₁₇	—	2	2	no	—
547	C₄×C₁₇	—	2	2	no	—
548	C₄×C₁₇	—	4	1	no	—
549	C₄×C₁₇	—	4	1	no	—
550	C₄×C₁₇	—	4	2	no	—
551	C₄×C₁₇	—	4	1	no	—
552	C₄×C₁₇	—	4	2	no	—
553	C₄×C₁₇	—	4	1	no	—
554	C₄×C₁₇	—	4	1	no	—
555	C₄×C₁₇	—	4	2	no	—
556	C₄×C₁₇	—	4	1	no	—
557	C₄×C₁₇	D₄×Q₈	1	2	yes	—
558	C₄×C₁₇	C₂³×Q₈	1	1	yes	characteristic
559	C₄×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
560	C₂×AGL(1,ℤ/8)	C₂²×C₁₇	1	1	yes	characteristic
561	#557	C₂²×C₁₇	1	2	yes	complemented
562	#557	C₂²×C₁₇	1	2	yes	complemented
563	#554	—	2	1	no	—
564	#554	—	2	1	no	—
565	#554	—	2	1	no	—
566	#554	—	2	2	no	—
567	#554	—	2	2	no	—
568	#554	C₂²×C₁₇	1	2	yes	—
569	#554	C₂²×C₁₇	1	2	yes	—
570	#554	C₂²×C₁₇	1	2	yes	—
571	#554	C₂²×C₁₇	1	2	yes	complemented
572	#554	C₂²×C₁₇	1	2	yes	complemented
573	D₄×Q₈	—	2	1	no	—
574	D₄×Q₈	C₂²×C₁₇	1	2	yes	—
575	#544	—	2	1	no	—
576	#544	—	2	1	no	—
577	#544	C₂²×C₁₇	1	1	yes	characteristic
578	#544	C₂²×C₁₇	1	1	yes	characteristic
579	#544	C₂²×C₁₇	1	1	yes	characteristic
580	#544	C₂²×C₁₇	1	1	yes	characteristic
581	#543	—	2	2	no	—
582	#533	—	2	1	no	—
583	#533	C₂²×C₁₇	1	1	yes	characteristic
584	#533	C₂²×C₁₇	1	1	yes	characteristic
585	C₂×#125	—	2	1	no	—
586	C₂×#125	C₂²×C₁₇	1	1	yes	characteristic
587	C₂×C₂²⋊Q₈	—	2	2	no	—
588	#520	C₂²×C₁₇	1	1	yes	characteristic
589	#520	C₂²×C₁₇	1	1	yes	characteristic
590	#518	C₂²×C₁₇	1	1	yes	characteristic
591	#518	C₂²×C₁₇	1	1	yes	characteristic
592	C₄×#41	C₂²×C₁₇	1	1	yes	characteristic
593	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
594	#501	C₂²×C₁₇	1	2	yes	complemented
595	#501	C₂²×C₁₇	1	2	yes	complemented
596	#501	C₂²×C₁₇	1	2	yes	complemented
597	#501	C₂²×C₁₇	1	2	yes	complemented
598	#501	C₂²×C₁₇	1	2	yes	complemented
599	#501	C₂²×C₁₇	1	2	yes	complemented
600	#500	C₂²×C₁₇	1	2	yes	complemented
601	#499	C₂²×C₁₇	1	2	yes	complemented
602	#499	C₂²×C₁₇	1	2	yes	complemented
603	#499	C₂²×C₁₇	1	2	yes	complemented
604	#499	C₂²×C₁₇	1	2	yes	complemented
605	#498	C₂²×C₁₇	1	2	yes	complemented
606	#479	C₂²×C₁₇	1	1	yes	characteristic, complemented
607	#479	C₂²×C₁₇	1	1	yes	characteristic, complemented
608	#479	C₂²×C₁₇	1	2	yes	complemented
609	#479	C₂²×C₁₇	1	2	yes	complemented
610	#478	C₂²×C₁₇	1	2	yes	—
611	#478	C₂²×C₁₇	1	2	yes	—
612	#478	C₂²×C₁₇	1	2	yes	—
613	#478	C₂²×C₁₇	1	2	yes	—
614	#478	C₂²×C₁₇	1	2	yes	—
615	#478	C₂²×C₁₇	1	2	yes	—
616	#478	C₂²×C₁₇	1	2	yes	—
617	#478	C₂²×C₁₇	1	2	yes	—
618	#478	C₂²×C₁₇	1	1	yes	characteristic, complemented
619	#478	C₂²×C₁₇	1	1	yes	characteristic, complemented
620	#478	C₂²×C₁₇	1	2	yes	complemented
621	#478	C₂²×C₁₇	1	2	yes	complemented
622	#477	C₂²×C₁₇	1	1	yes	characteristic, complemented
623	#477	C₂²×C₁₇	1	2	yes	complemented
624	#476	C₂²×C₁₇	1	2	yes	—
625	#476	C₂²×C₁₇	1	2	yes	—
626	#476	C₂²×C₁₇	1	1	yes	characteristic, complemented
627	#476	C₂²×C₁₇	1	2	yes	complemented
628	#475	C₂²×C₁₇	1	1	yes	characteristic, complemented
629	#475	C₂²×C₁₇	1	2	yes	complemented
630	#474	C₂²×C₁₇	1	2	yes	—
631	#474	C₂²×C₁₇	1	2	yes	—
632	#474	C₂²×C₁₇	1	1	yes	characteristic, complemented
633	#474	C₂²×C₁₇	1	2	yes	complemented
634	#446	C₂²×C₁₇	1	2	yes	complemented
635	#446	C₂²×C₁₇	1	2	yes	complemented
636	#446	C₂²×C₁₇	1	2	yes	complemented
637	C₈×Q₈	C₂²×C₁₇	1	2	yes	complemented
638	#442	C₂²×C₁₇	1	2	yes	—
639	#442	C₂²×C₁₇	1	2	yes	—
640	#442	C₂²×C₁₇	1	2	yes	—
641	#440	C₂²×C₁₇	1	2	yes	—
642	#440	C₂²×C₁₇	1	2	yes	—
643	#440	C₂²×C₁₇	1	2	yes	—
644	C₄×SD₁₆	C₂²×C₁₇	1	2	yes	—
645	C₄×SD₁₆	C₂²×C₁₇	1	2	yes	—
646	C₄×SD₁₆	C₂²×C₁₇	1	2	yes	—
647	C₄×D₈	C₂²×C₁₇	1	2	yes	—
648	C₄×D₈	C₂²×C₁₇	1	2	yes	—
649	C₄×D₈	C₂²×C₁₇	1	2	yes	—
650	#428	C₂²×C₁₇	1	1	yes	characteristic
651	#428	C₂²×C₁₇	1	1	yes	characteristic
652	#428	C₂²×C₁₇	1	1	yes	characteristic
653	#428	C₂²×C₁₇	1	1	yes	characteristic
654	#428	C₂²×C₁₇	1	1	yes	characteristic
655	#427	C₂²×C₁₇	1	1	yes	characteristic
656	#427	C₂²×C₁₇	1	1	yes	characteristic
657	C₂×#107	C₂²×C₁₇	1	1	yes	characteristic
658	C₂×#106	C₂²×C₁₇	1	1	yes	characteristic
659	#424	C₂²×C₁₇	1	1	yes	characteristic
660	#424	C₂²×C₁₇	1	1	yes	characteristic
661	C₂×C₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
662	#418	C₂²×C₁₇	1	1	yes	characteristic
663	#417	C₂²×C₁₇	1	1	yes	characteristic
664	#416	C₂²×C₁₇	1	1	yes	characteristic
665	#416	C₂²×C₁₇	1	1	yes	characteristic
666	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
667	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
668	#405	C₂²×C₁₇	1	1	yes	characteristic
669	#405	C₂²×C₁₇	1	1	yes	characteristic
670	C₄×M₁₆	C₂²×C₁₇	1	1	yes	characteristic
671	C₂×C₁₇	—	2	2	no	—
672	C₂×C₁₇	—	4	2	no	—
673	C₂×C₁₇	—	4	4	no	—
674	C₂×C₁₇	C₂×D₄×Q₈	1	1	yes	characteristic
675	C₂×C₁₇	#3584	1	1	yes	characteristic
676	C₂×C₁₇	#3585	1	1	yes	characteristic
677	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
678	C₂²×Q₈	—	2	2	no	—
679	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
680	C₂³×C₄	—	2	1	no	—
681	AGL(1,ℤ/8)	Q₈×C₁₇	1	8	yes	complemented
682	C₂×SD₁₆	C₂³×C₁₇	1	2	yes	—
683	C₂×D₈	C₂³×C₁₇	1	2	yes	—
684	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
685	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
686	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
687	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
688	C₄⋊Q₈	—	2	2	no	—
689	C₄⋊Q₈	—	2	2	no	—
690	C₄⋊Q₈	—	2	1	no	—
691	C₄⋊Q₈	—	2	1	no	—
692	C₄⋊Q₈	—	2	1	no	—
693	C₄⋊Q₈	—	2	1	no	—
694	C₄⋊Q₈	D₄×C₁₇	1	1	yes	characteristic
695	C₄⋊Q₈	D₄×C₁₇	1	1	yes	characteristic
696	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
697	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
698	C₄⋊Q₈	C₂³×C₁₇	1	2	yes	—
699	C₄⋊Q₈	C₂³×C₁₇	1	2	yes	—
700	C₄⋊Q₈	C₂³×C₁₇	1	2	yes	—
701	C₄⋊Q₈	C₂³×C₁₇	1	2	yes	—
702	#125	—	2	1	no	—
703	#125	—	2	1	no	—
704	#125	—	2	2	no	—
705	#125	—	2	2	no	—
706	#125	—	2	2	no	—
707	#125	—	2	2	no	—
708	#125	—	2	1	no	—
709	#125	—	2	1	no	—
710	#125	—	2	1	no	—
711	#125	—	2	1	no	—
712	#125	D₄×C₁₇	1	1	yes	characteristic
713	#125	D₄×C₁₇	1	1	yes	characteristic
714	#125	C₂³×C₁₇	1	2	yes	—
715	#125	C₂³×C₁₇	1	2	yes	—
716	#125	C₂³×C₁₇	1	1	yes	characteristic
717	#125	C₂³×C₁₇	1	1	yes	characteristic
718	#125	C₂³×C₁₇	1	2	yes	—
719	#125	C₂³×C₁₇	1	2	yes	—
720	#125	C₂³×C₁₇	1	2	yes	—
721	#125	C₂³×C₁₇	1	2	yes	—
722	C₂²⋊Q₈	—	2	2	no	—
723	C₂²⋊Q₈	—	2	2	no	—
724	C₂²⋊Q₈	—	2	2	no	—
725	C₂²⋊Q₈	—	2	2	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	1	no	—
728	C₂²⋊Q₈	—	2	1	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	—	2	2	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	D₄×C₁₇	1	2	yes	—
747	C₂²⋊Q₈	D₄×C₁₇	1	2	yes	—
748	C₄×Q₈	—	2	2	no	—
749	C₄×Q₈	—	2	2	no	—
750	C₄×Q₈	—	2	1	no	—
751	C₄×Q₈	—	2	1	no	—
752	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
753	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
754	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
755	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
756	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
757	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
758	C₄×D₄	—	2	1	no	—
759	C₄×D₄	—	2	1	no	—
760	C₄×D₄	—	2	1	no	—
761	C₄×D₄	—	2	1	no	—
762	C₄×D₄	—	2	1	no	—
763	C₄×D₄	—	2	1	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	C₂³×C₁₇	1	2	yes	—
769	C₄×D₄	C₂³×C₁₇	1	2	yes	—
770	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
771	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
772	C₄×D₄	C₂³×C₁₇	1	2	yes	—
773	C₄×D₄	C₂³×C₁₇	1	2	yes	—
774	C₄×D₄	C₂³×C₁₇	1	2	yes	—
775	C₄×D₄	C₂³×C₁₇	1	2	yes	—
776	C₄×D₄	C₂³×C₁₇	1	2	yes	—
777	C₄×D₄	C₂³×C₁₇	1	2	yes	—
778	#117	—	2	1	no	—
779	#117	—	2	1	no	—
780	#117	—	2	1	no	—
781	#117	C₂³×C₁₇	1	1	yes	characteristic
782	#117	C₂³×C₁₇	1	1	yes	characteristic
783	#117	C₂³×C₁₇	1	1	yes	characteristic
784	#117	C₂³×C₁₇	1	1	yes	characteristic
785	#117	C₂³×C₁₇	1	1	yes	characteristic
786	C₂×C₄⋊C₄	—	2	1	no	—
787	C₂×C₄⋊C₄	—	2	1	no	—
788	C₂×C₄⋊C₄	—	2	1	no	—
789	C₂×C₄⋊C₄	—	2	1	no	—
790	C₂×C₄⋊C₄	—	2	2	no	—
791	C₂×C₄⋊C₄	—	2	2	no	—
792	C₂×C₄⋊C₄	—	2	2	no	—
793	C₂×C₄⋊C₄	—	2	2	no	—
794	C₂×C₄⋊C₄	—	2	2	no	—
795	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	—	2	1	no	—
799	C₂×C₂²⋊C₄	—	2	2	no	—
800	C₂×C₂²⋊C₄	—	2	2	no	—
801	C₂×C₄²	—	2	1	no	—
802	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
803	#107	C₂³×C₁₇	1	2	yes	—
804	#107	C₂³×C₁₇	1	2	yes	—
805	#107	C₂³×C₁₇	1	1	yes	characteristic
806	#107	C₂³×C₁₇	1	1	yes	characteristic
807	#107	C₂³×C₁₇	1	1	yes	characteristic
808	#107	C₂³×C₁₇	1	1	yes	characteristic
809	#107	C₂³×C₁₇	1	2	yes	—
810	#107	C₂³×C₁₇	1	2	yes	—
811	#107	C₂³×C₁₇	1	2	yes	—
812	#107	C₂³×C₁₇	1	2	yes	—
813	#107	C₂³×C₁₇	1	2	yes	—
814	#106	C₂³×C₁₇	1	2	yes	—
815	#106	C₂³×C₁₇	1	2	yes	—
816	#106	C₂³×C₁₇	1	1	yes	characteristic
817	#106	C₂³×C₁₇	1	1	yes	characteristic
818	#106	C₂³×C₁₇	1	1	yes	characteristic
819	#106	C₂³×C₁₇	1	1	yes	characteristic
820	#106	C₂³×C₁₇	1	2	yes	—
821	#106	C₂³×C₁₇	1	2	yes	—
822	#106	C₂³×C₁₇	1	2	yes	—
823	#106	C₂³×C₁₇	1	2	yes	—
824	#106	C₂³×C₁₇	1	2	yes	—
825	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
828	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
829	C₄⋊C₈	C₂³×C₁₇	1	2	yes	—
830	C₄⋊C₈	C₂³×C₁₇	1	2	yes	—
831	C₄⋊C₈	C₂³×C₁₇	1	2	yes	—
832	C₄⋊C₈	C₂³×C₁₇	1	2	yes	—
833	#103	C₂³×C₁₇	1	1	yes	characteristic
834	#103	C₂³×C₁₇	1	1	yes	characteristic
835	#103	C₂³×C₁₇	1	1	yes	characteristic
836	#103	C₂³×C₁₇	1	1	yes	characteristic
837	#103	C₂³×C₁₇	1	2	yes	—
838	#102	C₂³×C₁₇	1	2	yes	—
839	#102	C₂³×C₁₇	1	2	yes	—
840	#102	C₂³×C₁₇	1	2	yes	—
841	#102	C₂³×C₁₇	1	2	yes	—
842	#102	C₂³×C₁₇	1	1	yes	characteristic
843	#102	C₂³×C₁₇	1	1	yes	characteristic
844	#102	C₂³×C₁₇	1	1	yes	characteristic
845	#102	C₂³×C₁₇	1	1	yes	characteristic
846	#102	C₂³×C₁₇	1	2	yes	—
847	#102	C₂³×C₁₇	1	2	yes	—
848	#102	C₂³×C₁₇	1	2	yes	—
849	#97	C₂³×C₁₇	1	2	yes	—
850	#97	C₂³×C₁₇	1	2	yes	—
851	#97	C₂³×C₁₇	1	2	yes	—
852	C₄×C₈	C₂³×C₁₇	1	2	yes	—
853	C₄×C₈	C₂³×C₁₇	1	2	yes	—
854	C₄×C₈	C₂³×C₁₇	1	2	yes	—
855	C₁₇	#61385	1	1	yes	characteristic, direct product factor, Sylow
856	C₂⁴	—	2	1	no	—
857	#41	—	2	2	no	—
858	#41	C₂×Q₈×C₁₇	1	4	yes	complemented
859	C₂×Q₈	—	2	1	no	—
860	C₂×Q₈	—	2	1	no	—
861	C₂×Q₈	—	2	2	no	—
862	C₂×Q₈	—	2	2	no	—
863	C₂×Q₈	—	2	2	no	—
864	C₂×Q₈	—	2	2	no	—
865	C₂×Q₈	—	8	4	no	—
866	C₂×Q₈	C₂×D₄×C₁₇	1	2	yes	—
867	C₂×Q₈	C₂×D₄×C₁₇	1	2	yes	—
868	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	C₂×Q₈×C₁₇	1	4	yes	—
873	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
874	C₂×D₄	C₂⁴×C₁₇	1	2	yes	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	8	2	no	—
890	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
891	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
893	SD₁₆	C₂×Q₈×C₁₇	1	8	yes	complemented
894	D₈	C₂×Q₈×C₁₇	1	8	yes	complemented
895	M₁₆	—	2	2	no	—
896	M₁₆	C₂×Q₈×C₁₇	1	4	yes	complemented
897	C₂×C₈	—	2	2	no	—
898	C₂×C₈	—	2	2	no	—
899	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
900	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
901	C₂×C₈	C₂⁴×C₁₇	1	2	yes	—
902	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
903	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
904	C₂×C₈	C₂⁴×C₁₇	1	2	yes	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	1	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	1	no	—
911	C₄⋊C₄	—	2	1	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
935	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
936	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
937	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
938	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
939	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
940	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
941	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
942	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
943	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
944	C₄⋊C₄	C₂⁴×C₁₇	1	2	yes	—
945	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
946	C₄⋊C₄	C₂⁴×C₁₇	1	2	yes	—
947	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
948	C₄⋊C₄	C₂⁴×C₁₇	1	2	yes	—
949	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
950	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
951	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
952	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
953	C₂²⋊C₄	—	2	1	no	—
954	C₂²⋊C₄	—	2	1	no	—
955	C₂²⋊C₄	—	2	1	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	1	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
967	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
968	C₄²	—	2	1	no	—
969	C₄²	—	2	1	no	—
970	C₄²	—	2	1	no	—
971	C₄²	—	2	2	no	—
972	C₄²	—	2	2	no	—
973	C₄²	—	2	1	no	—
974	C₄²	—	2	1	no	—
975	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
976	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
977	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
978	C₄²	C₂⁴×C₁₇	1	2	yes	—
979	C₄²	C₂⁴×C₁₇	1	2	yes	—
980	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
981	C₂³	—	2	1	no	—
982	C₂³	—	2	2	no	—
983	C₂³	—	2	4	no	—
984	C₂³	—	8	1	no	—
985	C₂³	—	8	1	no	—
986	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
987	Q₈	—	2	1	no	—
988	Q₈	—	4	2	no	—
989	Q₈	—	4	2	no	—
990	Q₈	—	4	2	no	—
991	Q₈	—	8	2	no	—
992	Q₈	—	8	2	no	—
993	Q₈	—	8	1	no	—
994	Q₈	—	8	2	no	—
995	Q₈	—	8	2	no	—
996	Q₈	C₂²×Q₈×C₁₇	1	2	yes	—
997	D₄	—	2	4	no	—
998	D₄	—	2	4	no	—
999	D₄	—	2	2	no	—
1000	D₄	—	2	1	no	—
1001	D₄	C₂²×Q₈×C₁₇	1	2	yes	—
1002	D₄	C₂²×Q₈×C₁₇	1	4	yes	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	4	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	4	1	no	—
1015	C₂×C₄	—	4	1	no	—
1016	C₂×C₄	—	4	4	no	—
1017	C₂×C₄	—	8	2	no	—
1018	C₂×C₄	—	8	2	no	—
1019	C₂×C₄	—	8	2	no	—
1020	C₂×C₄	—	8	1	no	—
1021	C₂×C₄	—	8	2	no	—
1022	C₂×C₄	—	8	2	no	—
1023	C₂×C₄	—	8	2	no	—
1024	C₂×C₄	—	8	1	no	—
1025	C₂×C₄	—	8	2	no	—
1026	C₂×C₄	—	8	1	no	—
1027	C₂×C₄	—	8	1	no	—
1028	C₂×C₄	—	8	1	no	—
1029	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1030	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1031	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1032	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1033	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1034	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1035	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1036	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1037	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1038	C₂×C₄	C₂²×Q₈×C₁₇	1	2	yes	—
1039	C₂×C₄	C₁₇×2₋¹⁺⁴	1	2	yes	—
1040	C₂×C₄	C₂⁵×C₁₇	1	1	yes	characteristic
1041	C₈	—	2	1	no	—
1042	C₈	—	2	1	no	—
1043	C₈	—	2	1	no	—
1044	C₈	—	2	1	no	—
1045	C₈	—	2	2	no	—
1046	C₈	C₂²×Q₈×C₁₇	1	4	yes	—
1047	C₂²	—	2	1	no	—
1048	C₂²	—	2	1	no	—
1049	C₂²	—	2	2	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	8	4	no	—
1056	C₂²	D₄×Q₈×C₁₇	1	2	yes	—
1057	C₂²	C₂³×D₄×C₁₇	1	1	yes	characteristic
1058	C₄	—	2	2	no	—
1059	C₄	—	2	1	no	—
1060	C₄	—	2	1	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	2	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	2	1	no	—
1065	C₄	—	2	2	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	2	no	—
1072	C₄	—	4	1	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	2	no	—
1075	C₄	—	4	1	no	—
1076	C₄	D₄×Q₈×C₁₇	1	2	yes	—
1077	C₄	C₂³×Q₈×C₁₇	1	1	yes	characteristic
1078	C₄	C₂×C₁₇×2₋¹⁺⁴	1	1	yes	characteristic
1079	C₂	—	2	2	no	—
1080	C₂	—	4	4	no	—
1081	C₂	—	4	2	no	—
1082	C₂	C₂×D₄×Q₈×C₁₇	1	1	yes	characteristic
1083	C₂	C₁₇×#3584	1	1	yes	characteristic
1084	C₂	C₁₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₇
prime radical	C₂×C₁₇×AGL(1,ℤ/8)	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₇ ◁ C₁₇×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₇×#3504	C₂	semidirect
2. C₁₇×#3501	C₂	semidirect
3. C₁₇×#3389	C₂	semidirect
4. C₁₇×#3389	C₂	semidirect
5. C₁₇×#3388	C₂	semidirect
6. C₁₇×#3388	C₂	semidirect
7. C₁₇×#3386	C₂	semidirect
8. C₁₇×#3384	C₂	semidirect
9. C₁₇×#3381	C₂	semidirect
10. C₁₇×#3380	C₂	semidirect
11. C₁₇×#3166	C₂	semidirect
12. C₁₇×#3164	C₂	semidirect
13. C₁₇×#3163	C₂	semidirect
14. C₁₇×#3084	C₂	semidirect
15. C₁₇×#3083	C₂	semidirect
16. C₁₇×#3081	C₂	semidirect
17. C₁₇×#3081	C₂	semidirect
18. C₁₇×#3076	C₂	semidirect
19. C₂×C₁₇×#478	C₂	semidirect
20. C₁₇×#2962	C₂	semidirect
25. C₁₇×#557	C₂²	semidirect
26. C₁₇×#557	C₂²	semidirect
35. C₁₇×#554	C₂²	semidirect
36. C₁₇×#554	C₂²	semidirect
58. C₁₇×#501	C₂²	semidirect
59. C₁₇×#501	C₂²	semidirect
60. C₁₇×#501	C₂²	semidirect
61. C₁₇×#501	C₂²	semidirect
62. C₁₇×#501	C₂²	semidirect
63. C₁₇×#501	C₂²	semidirect
64. C₁₇×#500	C₂²	semidirect
65. C₁₇×#499	C₂²	semidirect
66. C₁₇×#499	C₂²	semidirect
67. C₁₇×#499	C₂²	semidirect
68. C₁₇×#499	C₂²	semidirect
69. C₁₇×#498	C₂²	semidirect
70. C₁₇×#479	C₂²	semidirect
71. C₁₇×#479	C₂²	semidirect
72. C₁₇×#479	C₂²	semidirect
73. C₁₇×#479	C₂²	semidirect
82. C₁₇×#478	C₂²	semidirect
83. C₁₇×#478	C₂²	semidirect
84. C₁₇×#478	C₂²	semidirect
85. C₁₇×#478	C₂²	semidirect
86. C₁₇×#477	C₂²	semidirect
87. C₁₇×#477	C₂²	semidirect
90. C₁₇×#476	C₂²	semidirect
91. C₁₇×#476	C₂²	semidirect
92. C₁₇×#475	C₂²	semidirect
93. C₁₇×#475	C₂²	semidirect
96. C₁₇×#474	C₂²	semidirect
97. C₁₇×#474	C₂²	semidirect
98. C₁₇×#446	C₂²	semidirect
99. C₁₇×#446	C₂²	semidirect
100. C₁₇×#446	C₂²	semidirect
101. C₈×Q₈×C₁₇	C₂²	semidirect
139. C₁₇×AGL(1,ℤ/8)	Q₈	semidirect
315. #41×C₁₇	C₂×Q₈	semidirect
350. SD₁₆×C₁₇	C₂×Q₈	semidirect
351. D₈×C₁₇	C₂×Q₈	semidirect
353. M₁₆×C₁₇	C₂×Q₈	semidirect
438. #61385	C₁₇	direct (N × H)
505. #3504	C₂×C₁₇	semidirect
506. #3501	C₂×C₁₇	semidirect
507. #3389	C₂×C₁₇	semidirect
508. #3389	C₂×C₁₇	semidirect
509. #3388	C₂×C₁₇	semidirect
510. #3388	C₂×C₁₇	semidirect
511. #3386	C₂×C₁₇	semidirect
512. #3384	C₂×C₁₇	semidirect
513. #3381	C₂×C₁₇	semidirect
514. #3380	C₂×C₁₇	semidirect
515. #3166	C₂×C₁₇	semidirect
516. #3164	C₂×C₁₇	semidirect
517. #3163	C₂×C₁₇	semidirect
518. #3084	C₂×C₁₇	semidirect
519. #3083	C₂×C₁₇	semidirect
520. #3081	C₂×C₁₇	semidirect
521. #3081	C₂×C₁₇	semidirect
522. #3076	C₂×C₁₇	semidirect
523. C₂×#478	C₂×C₁₇	semidirect
524. #2962	C₂×C₁₇	semidirect
561. #557	C₂²×C₁₇	semidirect
562. #557	C₂²×C₁₇	semidirect
571. #554	C₂²×C₁₇	semidirect
572. #554	C₂²×C₁₇	semidirect
594. #501	C₂²×C₁₇	semidirect
595. #501	C₂²×C₁₇	semidirect
596. #501	C₂²×C₁₇	semidirect
597. #501	C₂²×C₁₇	semidirect
598. #501	C₂²×C₁₇	semidirect
599. #501	C₂²×C₁₇	semidirect
600. #500	C₂²×C₁₇	semidirect
601. #499	C₂²×C₁₇	semidirect
602. #499	C₂²×C₁₇	semidirect
603. #499	C₂²×C₁₇	semidirect
604. #499	C₂²×C₁₇	semidirect
605. #498	C₂²×C₁₇	semidirect
606. #479	C₂²×C₁₇	semidirect
607. #479	C₂²×C₁₇	semidirect
608. #479	C₂²×C₁₇	semidirect
609. #479	C₂²×C₁₇	semidirect
618. #478	C₂²×C₁₇	semidirect
619. #478	C₂²×C₁₇	semidirect
620. #478	C₂²×C₁₇	semidirect
621. #478	C₂²×C₁₇	semidirect
622. #477	C₂²×C₁₇	semidirect
623. #477	C₂²×C₁₇	semidirect
626. #476	C₂²×C₁₇	semidirect
627. #476	C₂²×C₁₇	semidirect
628. #475	C₂²×C₁₇	semidirect
629. #475	C₂²×C₁₇	semidirect
632. #474	C₂²×C₁₇	semidirect
633. #474	C₂²×C₁₇	semidirect
634. #446	C₂²×C₁₇	semidirect
635. #446	C₂²×C₁₇	semidirect
636. #446	C₂²×C₁₇	semidirect
637. C₈×Q₈	C₂²×C₁₇	semidirect
681. AGL(1,ℤ/8)	Q₈×C₁₇	semidirect
855. C₁₇	#61385	direct (N × H)
858. #41	C₂×Q₈×C₁₇	semidirect
893. SD₁₆	C₂×Q₈×C₁₇	semidirect
894. D₈	C₂×Q₈×C₁₇	semidirect
896. M₁₆	C₂×Q₈×C₁₇	semidirect

Maximal subgroups

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

subgroup	index
C₁₇×#3504	2
C₁₇×#3501	2
C₁₇×#3389	2
C₁₇×#3388	2
C₁₇×#3386	2
C₁₇×#3384	2
C₁₇×#3381	2
C₁₇×#3380	2
C₁₇×#3166	2
C₁₇×#3164	2
C₁₇×#3163	2
C₁₇×#3084	2
C₁₇×#3083	2
C₁₇×#3081	2
C₁₇×#3076	2
C₂×C₁₇×#478	2
C₁₇×#2962	2
C₁₇×#2946	2
C₄×C₁₇×AGL(1,ℤ/8)	2
#61385	17

Subgroups — C17×#61385 #16919129

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#61385 #16919129