Subgroups — C₁₇×#61555 #16919299

Order 4352.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1200 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₇×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₇×#3391	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₇×#3368	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#3355	C₂	1	2	yes	maximal, complemented
8	C₁₇×#3354	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#3318	C₂	1	2	yes	maximal, complemented
10	C₁₇×#3309	C₂	1	2	yes	maximal, complemented
11	C₁₇×#3305	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#3294	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#3274	C₂	1	2	yes	maximal, complemented
14	C₁₇×#3274	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#3184	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₇×#3176	C₂	1	2	yes	maximal, complemented
17	C₁₇×#3122	C₂	1	2	yes	maximal, complemented
18	C₁₇×#3119	C₂	1	2	yes	maximal, complemented
19	C₁₇×#3106	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₇×#3100	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₇×#2969	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₇×#2946	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₇×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₁₇×#557	C₂²	1	1	yes	characteristic, complemented
27	C₁₇×#555	C₂²	1	1	yes	characteristic
28	C₁₇×#554	C₂²	1	1	yes	characteristic
29	C₁₇×#553	—	2	2	no	—
30	C₁₇×#553	—	2	1	no	—
31	C₁₇×#553	C₂²	1	2	yes	—
32	C₁₇×#553	C₂²	1	2	yes	complemented
33	C₁₇×#550	—	2	1	no	—
34	C₁₇×#550	C₂²	1	1	yes	characteristic
35	C₁₇×#550	C₂²	1	1	yes	characteristic, complemented
36	C₁₇×#550	C₂²	1	2	yes	complemented
37	C₁₇×#550	C₂²	1	1	yes	characteristic, complemented
38	C₁₇×#547	—	2	1	no	—
39	C₁₇×#547	C₂²	1	1	yes	characteristic, complemented
40	C₁₇×#546	—	2	1	no	—
41	C₁₇×#546	—	2	2	no	—
42	D₄²×C₁₇	C₂²	1	1	yes	characteristic
43	D₄²×C₁₇	C₂²	1	2	yes	—
44	C₁₇×#540	—	2	2	no	—
45	C₁₇×#540	C₂²	1	2	yes	—
46	C₁₇×#540	C₂²	1	2	yes	complemented
47	C₁₇×#538	—	2	2	no	—
48	C₁₇×#532	—	2	1	no	—
49	C₁₇×#532	C₂²	1	1	yes	characteristic
50	C₁₇×#532	C₂²	1	1	yes	characteristic, complemented
51	C₁₇×#529	—	2	1	no	—
52	C₁₇×#529	C₂²	1	1	yes	characteristic
53	C₁₇×#525	—	2	1	no	—
54	C₂×C₁₇×#121	—	2	1	no	—
55	C₁₇×#520	C₂²	1	2	yes	complemented
56	C₁₇×#518	C₂²	1	2	yes	—
57	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
59	C₁₇×#499	C₂²	1	2	yes	complemented
60	C₁₇×#498	C₂²	1	1	yes	characteristic, complemented
61	C₁₇×#493	C₂²	1	2	yes	complemented
62	C₁₇×#493	C₂²	1	1	yes	characteristic, complemented
63	C₁₇×#490	C₂²	1	2	yes	complemented
64	C₁₇×#490	C₂²	1	2	yes	complemented
65	C₁₇×#486	C₂²	1	1	yes	characteristic, complemented
66	C₁₇×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₇×#482	C₂²	1	2	yes	complemented
68	C₁₇×#482	C₂²	1	2	yes	complemented
69	C₁₇×#482	C₂²	1	2	yes	complemented
70	C₁₇×#481	C₂²	1	2	yes	complemented
71	C₁₇×#480	C₂²	1	2	yes	complemented
72	C₁₇×#480	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	complemented
76	C₁₇×#478	C₂²	1	2	yes	complemented
77	C₁₇×#477	C₂²	1	1	yes	characteristic, complemented
78	C₁₇×#476	C₂²	1	1	yes	characteristic, complemented
79	C₁₇×#474	C₂²	1	1	yes	characteristic
80	C₁₇×#474	C₂²	1	1	yes	characteristic, complemented
81	C₁₇×#469	C₂²	1	2	yes	complemented
82	C₁₇×#469	C₂²	1	2	yes	complemented
83	C₁₇×#469	C₂²	1	2	yes	complemented
84	C₁₇×#469	C₂²	1	2	yes	complemented
85	C₁₇×#466	C₂²	1	2	yes	complemented
86	C₁₇×#466	C₂²	1	2	yes	complemented
87	C₁₇×#460	C₂²	1	1	yes	characteristic, complemented
88	C₁₇×#460	C₂²	1	2	yes	complemented
89	C₁₇×#459	C₂²	1	1	yes	characteristic
90	C₁₇×#459	C₂²	1	2	yes	—
91	C₁₇×#459	C₂²	1	1	yes	characteristic, complemented
92	C₁₇×#459	C₂²	1	1	yes	characteristic, complemented
93	C₁₇×#459	C₂²	1	2	yes	complemented
94	C₁₇×#459	C₂²	1	2	yes	complemented
95	C₁₇×#449	C₂²	1	2	yes	complemented
96	C₁₇×#449	C₂²	1	2	yes	complemented
97	C₁₇×#449	C₂²	1	2	yes	complemented
98	C₁₇×#447	C₂²	1	2	yes	—
99	C₁₇×#447	C₂²	1	2	yes	—
100	C₁₇×#447	C₂²	1	2	yes	—
101	C₁₇×#446	C₂²	1	1	yes	characteristic, complemented
102	C₈×Q₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
103	C₁₇×#442	C₂²	1	2	yes	—
104	C₁₇×#442	C₂²	1	1	yes	characteristic
105	C₁₇×#442	C₂²	1	2	yes	complemented
106	C₁₇×#442	C₂²	1	2	yes	complemented
107	C₁₇×#442	C₂²	1	1	yes	characteristic, complemented
108	C₁₇×#440	C₂²	1	1	yes	characteristic
109	C₁₇×#440	C₂²	1	2	yes	complemented
110	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
111	C₄×SD₁₆×C₁₇	C₂²	1	2	yes	—
112	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
113	C₄×SD₁₆×C₁₇	C₂²	1	2	yes	complemented
114	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
115	C₄×D₈×C₁₇	C₂²	1	2	yes	—
116	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic
117	C₄×D₈×C₁₇	C₂²	1	2	yes	complemented
118	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
119	C₄×D₈×C₁₇	C₂²	1	2	yes	complemented
120	C₄×D₈×C₁₇	C₂²	1	2	yes	complemented
121	C₁₇×#436	C₂²	1	1	yes	characteristic, complemented
122	C₁₇×#436	C₂²	1	2	yes	complemented
123	C₁₇×#435	C₂²	1	2	yes	complemented
124	C₈×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
125	C₁₇×#433	C₂²	1	2	yes	complemented
126	C₁₇×#431	C₂²	1	1	yes	characteristic, complemented
127	C₁₇×#428	C₂²	1	2	yes	complemented
128	C₁₇×#428	C₂²	1	1	yes	characteristic, complemented
129	C₁₇×#418	C₂²	1	1	yes	characteristic
130	C₁₇×#417	C₂²	1	1	yes	characteristic, complemented
131	C₁₇×#416	C₂²	1	2	yes	complemented
132	C₂×C₁₇×#102	C₂²	1	2	yes	—
133	C₁₇×#405	C₂²	1	2	yes	complemented
134	C₄×M₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×#41×C₁₇	—	2	1	no	—
136	C₂×#41×C₁₇	—	2	1	no	—
137	C₂×#41×C₁₇	—	2	1	no	—
138	C₂×#41×C₁₇	—	2	1	no	—
139	C₂×#41×C₁₇	—	2	1	no	—
140	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
141	C₂×#41×C₁₇	C₂³	1	2	yes	—
142	C₂²×D₄×C₁₇	—	2	1	no	—
143	C₂²×D₄×C₁₇	—	2	2	no	—
144	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
145	C₂²×D₄×C₁₇	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₇	—	2	1	no	—
147	C₁₇×AGL(1,ℤ/8)	—	2	8	no	—
148	C₁₇×AGL(1,ℤ/8)	—	2	4	no	—
149	C₂×SD₁₆×C₁₇	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
151	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
152	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
153	C₂×D₈×C₁₇	C₂³	1	2	yes	—
154	C₂×D₈×C₁₇	C₂³	1	2	yes	—
155	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
156	C₂×D₈×C₁₇	C₂³	1	2	yes	—
157	C₂×D₈×C₁₇	C₂³	1	2	yes	—
158	C₂×D₈×C₁₇	C₂³	1	2	yes	—
159	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
160	C₂×M₁₆×C₁₇	C₂³	1	2	yes	—
161	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
162	C₂²×C₈×C₁₇	C₂³	1	2	yes	—
163	C₁₇×C₄⋊Q₈	—	2	1	no	—
164	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₇×#127	—	2	1	no	—
167	C₁₇×#127	—	2	2	no	—
168	C₁₇×#127	C₂³	1	1	yes	characteristic
169	C₁₇×#127	C₂³	1	1	yes	characteristic
170	C₁₇×#127	C₂³	1	2	yes	—
171	C₁₇×#127	C₂³	1	2	yes	—
172	C₁₇×#126	—	2	2	no	—
173	C₁₇×#126	—	2	2	no	—
174	C₁₇×#126	D₄	1	2	yes	—
175	C₁₇×#125	—	2	2	no	—
176	C₁₇×#125	D₄	1	1	yes	characteristic
177	C₁₇×#125	C₂³	1	2	yes	—
178	C₁₇×#125	C₂³	1	2	yes	—
179	C₁₇×#124	—	2	2	no	—
180	C₁₇×#124	—	2	1	no	—
181	C₁₇×#124	—	2	1	no	—
182	C₁₇×#124	D₄	1	1	yes	characteristic
183	C₁₇×#123	—	2	2	no	—
184	C₁₇×#123	—	2	2	no	—
185	C₁₇×#123	—	2	2	no	—
186	C₁₇×#123	—	2	2	no	—
187	C₁₇×#123	—	2	2	no	—
188	C₁₇×#123	—	2	2	no	—
189	C₁₇×#123	—	2	2	no	—
190	C₁₇×#123	D₄	1	2	yes	—
191	C₁₇×C₂²⋊Q₈	—	2	1	no	—
192	C₁₇×C₂²⋊Q₈	—	2	1	no	—
193	C₁₇×C₂²⋊Q₈	—	2	2	no	—
194	C₁₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
195	C₁₇×#121	—	2	2	no	—
196	C₁₇×#121	—	2	1	no	—
197	C₁₇×#121	—	2	2	no	—
198	C₁₇×#121	—	2	1	no	—
199	C₁₇×#121	—	2	1	no	—
200	C₁₇×#121	—	2	1	no	—
201	C₁₇×#121	—	2	1	no	—
202	C₁₇×#121	—	2	1	no	—
203	C₁₇×#121	—	2	2	no	—
204	C₁₇×#121	—	2	2	no	—
205	C₁₇×#121	—	2	2	no	—
206	C₁₇×#121	—	2	2	no	—
207	C₁₇×#121	—	2	2	no	—
208	C₁₇×#121	—	2	2	no	—
209	C₁₇×#121	—	2	2	no	—
210	C₁₇×#121	—	2	2	no	—
211	C₁₇×#121	—	2	2	no	—
212	C₁₇×#121	—	2	2	no	—
213	C₁₇×#121	D₄	1	1	yes	characteristic
214	C₁₇×#121	C₂³	1	2	yes	—
215	C₁₇×#121	C₂³	1	2	yes	—
216	C₁₇×#121	C₂³	1	2	yes	—
217	C₁₇×#121	C₂³	1	2	yes	—
218	C₁₇×#121	C₂³	1	2	yes	—
219	C₁₇×#121	C₂³	1	2	yes	—
220	C₁₇×#120	—	2	2	no	—
221	C₁₇×#120	—	2	2	no	—
222	C₁₇×#120	—	2	2	no	—
223	C₄×Q₈×C₁₇	—	2	1	no	—
224	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
227	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₁₇	—	2	1	no	—
229	C₄×D₄×C₁₇	—	2	1	no	—
230	C₄×D₄×C₁₇	—	2	2	no	—
231	C₄×D₄×C₁₇	—	2	2	no	—
232	C₄×D₄×C₁₇	—	2	1	no	—
233	C₄×D₄×C₁₇	—	2	2	no	—
234	C₄×D₄×C₁₇	—	2	2	no	—
235	C₄×D₄×C₁₇	—	2	2	no	—
236	C₄×D₄×C₁₇	—	2	2	no	—
237	C₄×D₄×C₁₇	—	2	2	no	—
238	C₄×D₄×C₁₇	—	2	1	no	—
239	C₄×D₄×C₁₇	—	2	1	no	—
240	C₄×D₄×C₁₇	—	2	1	no	—
241	C₄×D₄×C₁₇	—	2	1	no	—
242	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₇	C₂³	1	2	yes	—
249	C₄×D₄×C₁₇	C₂³	1	2	yes	—
250	C₄×D₄×C₁₇	C₂³	1	2	yes	—
251	C₄×D₄×C₁₇	C₂³	1	2	yes	—
252	C₄×D₄×C₁₇	C₂³	1	2	yes	—
253	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₇	C₂³	1	2	yes	—
255	C₁₇×#117	—	2	2	no	—
256	C₁₇×#117	—	2	1	no	—
257	C₁₇×#117	—	2	1	no	—
258	C₁₇×#117	C₂³	1	1	yes	characteristic
259	C₁₇×#117	C₂³	1	2	yes	—
260	C₁₇×#117	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₁₇	—	2	2	no	—
262	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
263	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
265	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
266	C₂×C₂²⋊C₄×C₁₇	—	2	2	no	—
267	C₂×C₂²⋊C₄×C₁₇	—	2	2	no	—
268	C₂×C₄²×C₁₇	—	2	1	no	—
269	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
270	C₁₇×#107	C₂³	1	2	yes	—
271	C₁₇×#107	C₂³	1	2	yes	—
272	C₁₇×#107	C₂³	1	1	yes	characteristic
273	C₁₇×#107	C₂³	1	2	yes	—
274	C₁₇×#107	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
280	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₇×#103	C₂³	1	1	yes	characteristic
285	C₁₇×#103	C₂³	1	2	yes	—
286	C₁₇×#103	C₂³	1	1	yes	characteristic
287	C₁₇×#102	C₂³	1	1	yes	characteristic
288	C₁₇×#102	C₂³	1	2	yes	—
289	C₁₇×#102	C₂³	1	2	yes	—
290	C₁₇×#102	C₂³	1	2	yes	—
291	C₁₇×#102	C₂³	1	2	yes	—
292	C₁₇×#102	C₂³	1	2	yes	—
293	C₁₇×#102	C₂³	1	1	yes	characteristic
294	C₁₇×#102	C₂³	1	1	yes	characteristic
295	C₁₇×#102	C₂³	1	1	yes	characteristic
296	C₁₇×#102	C₂³	1	1	yes	characteristic
297	C₁₇×#102	C₂³	1	1	yes	characteristic
298	C₁₇×#102	C₂³	1	2	yes	—
299	C₁₇×#102	C₂³	1	2	yes	—
300	C₁₇×#102	C₂³	1	2	yes	—
301	C₁₇×#102	C₂³	1	2	yes	—
302	C₁₇×#102	C₂³	1	2	yes	—
303	C₁₇×#102	C₂³	1	2	yes	—
304	C₁₇×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₇×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₇×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₇×#97	C₂³	1	1	yes	characteristic
308	C₁₇×#97	C₂³	1	1	yes	characteristic
309	C₁₇×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₇	C₂³	1	2	yes	—
312	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₇	C₂³	1	2	yes	—
314	C₂⁴×C₁₇	—	2	1	no	—
315	C₂⁴×C₁₇	—	2	2	no	—
316	#41×C₁₇	—	2	2	no	—
317	#41×C₁₇	—	2	4	no	—
318	#41×C₁₇	—	4	2	no	—
319	#41×C₁₇	—	4	1	no	—
320	#41×C₁₇	—	8	2	no	—
321	#41×C₁₇	—	8	2	no	—
322	#41×C₁₇	—	8	2	no	—
323	#41×C₁₇	—	8	2	no	—
324	#41×C₁₇	—	8	2	no	—
325	C₂×Q₈×C₁₇	—	2	1	no	—
326	C₂×Q₈×C₁₇	—	2	1	no	—
327	C₂×Q₈×C₁₇	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₁₇	—	2	2	no	—
330	C₂×D₄×C₁₇	—	2	4	no	—
331	C₂×D₄×C₁₇	—	2	2	no	—
332	C₂×D₄×C₁₇	—	2	1	no	—
333	C₂×D₄×C₁₇	—	2	2	no	—
334	C₂×D₄×C₁₇	—	2	2	no	—
335	C₂×D₄×C₁₇	—	2	2	no	—
336	C₂×D₄×C₁₇	—	2	2	no	—
337	C₂×D₄×C₁₇	—	2	2	no	—
338	C₂×D₄×C₁₇	—	2	2	no	—
339	C₂×D₄×C₁₇	—	2	1	no	—
340	C₂×D₄×C₁₇	—	2	1	no	—
341	C₂×D₄×C₁₇	—	2	1	no	—
342	C₂×D₄×C₁₇	—	2	2	no	—
343	C₂×D₄×C₁₇	—	2	2	no	—
344	C₂×D₄×C₁₇	—	2	2	no	—
345	C₂×D₄×C₁₇	—	2	2	no	—
346	C₂×D₄×C₁₇	—	2	2	no	—
347	C₂×D₄×C₁₇	—	2	1	no	—
348	C₂×D₄×C₁₇	—	2	1	no	—
349	C₂×D₄×C₁₇	—	4	2	no	—
350	C₂×D₄×C₁₇	—	4	1	no	—
351	C₂×D₄×C₁₇	—	8	2	no	—
352	C₂×D₄×C₁₇	—	8	4	no	—
353	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
354	C₂×D₄×C₁₇	C₂×D₄	1	2	yes	—
355	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
356	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
357	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
358	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
359	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₇	—	2	2	no	—
361	C₂²×C₄×C₁₇	—	2	1	no	—
362	C₂²×C₄×C₁₇	—	2	1	no	—
363	C₂²×C₄×C₁₇	—	2	1	no	—
364	C₂²×C₄×C₁₇	—	2	1	no	—
365	C₂²×C₄×C₁₇	—	2	1	no	—
366	C₂²×C₄×C₁₇	—	2	2	no	—
367	C₂²×C₄×C₁₇	—	2	2	no	—
368	C₂²×C₄×C₁₇	—	2	1	no	—
369	C₂²×C₄×C₁₇	—	2	1	no	—
370	C₂²×C₄×C₁₇	—	2	2	no	—
371	C₂²×C₄×C₁₇	—	2	2	no	—
372	C₂²×C₄×C₁₇	—	2	2	no	—
373	C₂²×C₄×C₁₇	—	2	2	no	—
374	C₂²×C₄×C₁₇	—	2	1	no	—
375	C₂²×C₄×C₁₇	—	8	2	no	—
376	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
377	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
378	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
380	SD₁₆×C₁₇	—	2	4	no	—
381	SD₁₆×C₁₇	—	2	2	no	—
382	SD₁₆×C₁₇	#41	1	4	yes	complemented
383	D₈×C₁₇	—	2	4	no	—
384	D₈×C₁₇	—	2	2	no	—
385	D₈×C₁₇	—	2	2	no	—
386	D₈×C₁₇	—	2	4	no	—
387	D₈×C₁₇	—	4	2	no	—
388	D₈×C₁₇	—	4	2	no	—
389	D₈×C₁₇	—	4	2	no	—
390	M₁₆×C₁₇	—	2	2	no	—
391	M₁₆×C₁₇	—	2	4	no	—
392	M₁₆×C₁₇	—	4	1	no	—
393	C₂×C₈×C₁₇	—	4	2	no	—
394	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
396	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
398	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
399	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
400	C₄⋊C₄×C₁₇	—	2	2	no	—
401	C₄⋊C₄×C₁₇	—	2	2	no	—
402	C₄⋊C₄×C₁₇	—	2	2	no	—
403	C₄⋊C₄×C₁₇	—	2	1	no	—
404	C₄⋊C₄×C₁₇	—	2	1	no	—
405	C₄⋊C₄×C₁₇	—	2	2	no	—
406	C₄⋊C₄×C₁₇	—	2	1	no	—
407	C₄⋊C₄×C₁₇	—	2	2	no	—
408	C₄⋊C₄×C₁₇	—	2	1	no	—
409	C₄⋊C₄×C₁₇	—	2	2	no	—
410	C₄⋊C₄×C₁₇	—	2	1	no	—
411	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
412	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
413	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
414	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
415	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
416	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
417	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
418	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
419	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
420	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
421	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
422	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
423	C₂²⋊C₄×C₁₇	—	2	1	no	—
424	C₂²⋊C₄×C₁₇	—	2	2	no	—
425	C₂²⋊C₄×C₁₇	—	2	2	no	—
426	C₂²⋊C₄×C₁₇	—	2	1	no	—
427	C₂²⋊C₄×C₁₇	—	2	2	no	—
428	C₂²⋊C₄×C₁₇	—	2	2	no	—
429	C₂²⋊C₄×C₁₇	—	2	2	no	—
430	C₂²⋊C₄×C₁₇	—	2	2	no	—
431	C₂²⋊C₄×C₁₇	—	2	1	no	—
432	C₂²⋊C₄×C₁₇	—	2	1	no	—
433	C₂²⋊C₄×C₁₇	—	2	1	no	—
434	C₂²⋊C₄×C₁₇	—	2	2	no	—
435	C₂²⋊C₄×C₁₇	—	2	2	no	—
436	C₂²⋊C₄×C₁₇	—	2	2	no	—
437	C₂²⋊C₄×C₁₇	—	2	1	no	—
438	C₂²⋊C₄×C₁₇	—	2	2	no	—
439	C₂²⋊C₄×C₁₇	—	2	2	no	—
440	C₂²⋊C₄×C₁₇	—	2	2	no	—
441	C₂²⋊C₄×C₁₇	—	2	1	no	—
442	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
443	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
444	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
445	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
446	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
447	C₄²×C₁₇	—	2	2	no	—
448	C₄²×C₁₇	—	2	2	no	—
449	C₄²×C₁₇	—	2	1	no	—
450	C₄²×C₁₇	—	2	1	no	—
451	C₄²×C₁₇	—	2	1	no	—
452	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₇	C₂⁴	1	2	yes	—
455	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
457	#61555	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
458	C₂³×C₁₇	—	2	1	no	—
459	C₂³×C₁₇	—	2	1	no	—
460	C₂³×C₁₇	—	2	2	no	—
461	C₂³×C₁₇	—	2	2	no	—
462	C₂³×C₁₇	—	2	1	no	—
463	C₂³×C₁₇	—	4	2	no	—
464	C₂³×C₁₇	—	4	4	no	—
465	C₂³×C₁₇	—	4	2	no	—
466	C₂³×C₁₇	—	8	1	no	—
467	C₂³×C₁₇	—	8	2	no	—
468	C₂³×C₁₇	—	8	2	no	—
469	C₂³×C₁₇	C₂²×D₄	1	2	yes	—
470	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
471	Q₈×C₁₇	—	2	2	no	—
472	Q₈×C₁₇	—	2	1	no	—
473	Q₈×C₁₇	—	4	2	no	—
474	Q₈×C₁₇	—	8	1	no	—
475	Q₈×C₁₇	C₂×#41	1	2	yes	—
476	D₄×C₁₇	—	2	2	no	—
477	D₄×C₁₇	—	2	2	no	—
478	D₄×C₁₇	—	2	1	no	—
479	D₄×C₁₇	—	2	1	no	—
480	D₄×C₁₇	—	2	2	no	—
481	D₄×C₁₇	—	2	1	no	—
482	D₄×C₁₇	—	2	1	no	—
483	D₄×C₁₇	—	2	2	no	—
484	D₄×C₁₇	—	2	1	no	—
485	D₄×C₁₇	—	2	2	no	—
486	D₄×C₁₇	—	4	2	no	—
487	D₄×C₁₇	—	4	4	no	—
488	D₄×C₁₇	—	4	2	no	—
489	D₄×C₁₇	—	4	2	no	—
490	D₄×C₁₇	—	4	4	no	—
491	D₄×C₁₇	—	4	4	no	—
492	D₄×C₁₇	—	4	2	no	—
493	D₄×C₁₇	—	4	2	no	—
494	D₄×C₁₇	—	8	1	no	—
495	D₄×C₁₇	—	8	2	no	—
496	D₄×C₁₇	—	8	2	no	—
497	D₄×C₁₇	—	8	1	no	—
498	D₄×C₁₇	—	8	2	no	—
499	D₄×C₁₇	—	8	2	no	—
500	D₄×C₁₇	—	8	2	no	—
501	D₄×C₁₇	—	8	2	no	—
502	D₄×C₁₇	—	8	2	no	—
503	D₄×C₁₇	—	8	2	no	—
504	D₄×C₁₇	—	8	2	no	—
505	D₄×C₁₇	C₂×#41	1	2	yes	—
506	C₂×C₄×C₁₇	—	2	1	no	—
507	C₂×C₄×C₁₇	—	2	2	no	—
508	C₂×C₄×C₁₇	—	2	2	no	—
509	C₂×C₄×C₁₇	—	2	1	no	—
510	C₂×C₄×C₁₇	—	2	2	no	—
511	C₂×C₄×C₁₇	—	2	1	no	—
512	C₂×C₄×C₁₇	—	2	1	no	—
513	C₂×C₄×C₁₇	—	2	1	no	—
514	C₂×C₄×C₁₇	—	2	1	no	—
515	C₂×C₄×C₁₇	—	2	2	no	—
516	C₂×C₄×C₁₇	—	2	2	no	—
517	C₂×C₄×C₁₇	—	2	1	no	—
518	C₂×C₄×C₁₇	—	4	1	no	—
519	C₂×C₄×C₁₇	—	4	2	no	—
520	C₂×C₄×C₁₇	—	4	4	no	—
521	C₂×C₄×C₁₇	—	4	2	no	—
522	C₂×C₄×C₁₇	—	4	2	no	—
523	C₂×C₄×C₁₇	—	4	2	no	—
524	C₂×C₄×C₁₇	—	8	1	no	—
525	C₂×C₄×C₁₇	—	8	1	no	—
526	C₂×C₄×C₁₇	—	8	1	no	—
527	C₂×C₄×C₁₇	—	8	2	no	—
528	C₂×C₄×C₁₇	—	8	2	no	—
529	C₂×C₄×C₁₇	—	8	2	no	—
530	C₂×C₄×C₁₇	—	8	2	no	—
531	C₂×C₄×C₁₇	—	8	2	no	—
532	C₂×C₄×C₁₇	—	8	1	no	—
533	C₂×C₄×C₁₇	—	8	2	no	—
534	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
537	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
538	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
543	C₈×C₁₇	—	2	1	no	—
544	C₈×C₁₇	—	2	2	no	—
545	C₈×C₁₇	—	2	1	no	—
546	C₈×C₁₇	—	2	2	no	—
547	C₈×C₁₇	—	2	1	no	—
548	C₈×C₁₇	C₂×#41	1	2	yes	—
549	#3519	C₂×C₁₇	1	1	yes	characteristic, complemented
550	#3517	C₂×C₁₇	1	1	yes	characteristic, complemented
551	#3391	C₂×C₁₇	1	1	yes	characteristic, complemented
552	#3381	C₂×C₁₇	1	1	yes	characteristic, complemented
553	#3368	C₂×C₁₇	1	1	yes	characteristic, complemented
554	#3366	C₂×C₁₇	1	1	yes	characteristic, complemented
555	#3355	C₂×C₁₇	1	2	yes	complemented
556	#3354	C₂×C₁₇	1	1	yes	characteristic, complemented
557	#3318	C₂×C₁₇	1	2	yes	complemented
558	#3309	C₂×C₁₇	1	2	yes	complemented
559	#3305	C₂×C₁₇	1	1	yes	characteristic, complemented
560	#3294	C₂×C₁₇	1	1	yes	characteristic, complemented
561	#3274	C₂×C₁₇	1	1	yes	characteristic, complemented
562	#3274	C₂×C₁₇	1	2	yes	complemented
563	#3184	C₂×C₁₇	1	1	yes	characteristic, complemented
564	#3176	C₂×C₁₇	1	2	yes	complemented
565	#3122	C₂×C₁₇	1	2	yes	complemented
566	#3119	C₂×C₁₇	1	2	yes	complemented
567	#3106	C₂×C₁₇	1	1	yes	characteristic, complemented
568	#3100	C₂×C₁₇	1	1	yes	characteristic, complemented
569	#2969	C₂×C₁₇	1	1	yes	characteristic, complemented
570	#2946	C₂×C₁₇	1	2	yes	complemented
571	C₄×AGL(1,ℤ/8)	C₂×C₁₇	1	1	yes	characteristic, complemented
572	C₂²×C₁₇	—	2	1	no	—
573	C₂²×C₁₇	—	2	2	no	—
574	C₂²×C₁₇	—	2	1	no	—
575	C₂²×C₁₇	—	2	2	no	—
576	C₂²×C₁₇	—	2	2	no	—
577	C₂²×C₁₇	—	2	1	no	—
578	C₂²×C₁₇	—	2	2	no	—
579	C₂²×C₁₇	—	4	1	no	—
580	C₂²×C₁₇	—	4	1	no	—
581	C₂²×C₁₇	—	4	2	no	—
582	C₂²×C₁₇	—	4	1	no	—
583	C₂²×C₁₇	—	4	1	no	—
584	C₂²×C₁₇	—	4	2	no	—
585	C₂²×C₁₇	—	4	1	no	—
586	C₂²×C₁₇	—	4	2	no	—
587	C₂²×C₁₇	—	4	1	no	—
588	C₂²×C₁₇	—	4	2	no	—
589	C₂²×C₁₇	—	4	1	no	—
590	C₂²×C₁₇	—	4	1	no	—
591	C₂²×C₁₇	—	4	2	no	—
592	C₂²×C₁₇	—	4	2	no	—
593	C₂²×C₁₇	—	8	4	no	—
594	C₂²×C₁₇	—	16	4	no	—
595	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
596	C₄×C₁₇	—	2	1	no	—
597	C₄×C₁₇	—	2	1	no	—
598	C₄×C₁₇	—	2	2	no	—
599	C₄×C₁₇	—	2	2	no	—
600	C₄×C₁₇	—	2	1	no	—
601	C₄×C₁₇	—	2	2	no	—
602	C₄×C₁₇	—	2	1	no	—
603	C₄×C₁₇	—	2	2	no	—
604	C₄×C₁₇	—	4	2	no	—
605	C₄×C₁₇	—	4	1	no	—
606	C₄×C₁₇	—	4	1	no	—
607	C₄×C₁₇	—	4	1	no	—
608	C₄×C₁₇	—	4	1	no	—
609	C₄×C₁₇	—	4	2	no	—
610	C₄×C₁₇	#576	1	2	yes	—
611	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
612	C₄×C₁₇	#585	1	1	yes	characteristic
613	C₂×AGL(1,ℤ/8)	C₂²×C₁₇	1	1	yes	characteristic
614	C₂×AGL(1,ℤ/8)	C₂²×C₁₇	1	2	yes	—
615	#557	C₂²×C₁₇	1	1	yes	characteristic, complemented
616	#555	C₂²×C₁₇	1	1	yes	characteristic
617	#554	C₂²×C₁₇	1	1	yes	characteristic
618	#553	—	2	2	no	—
619	#553	—	2	1	no	—
620	#553	C₂²×C₁₇	1	2	yes	—
621	#553	C₂²×C₁₇	1	2	yes	complemented
622	#550	—	2	1	no	—
623	#550	C₂²×C₁₇	1	1	yes	characteristic
624	#550	C₂²×C₁₇	1	1	yes	characteristic, complemented
625	#550	C₂²×C₁₇	1	2	yes	complemented
626	#550	C₂²×C₁₇	1	1	yes	characteristic, complemented
627	#547	—	2	1	no	—
628	#547	C₂²×C₁₇	1	1	yes	characteristic, complemented
629	#546	—	2	1	no	—
630	#546	—	2	2	no	—
631	D₄²	C₂²×C₁₇	1	1	yes	characteristic
632	D₄²	C₂²×C₁₇	1	2	yes	—
633	#540	—	2	2	no	—
634	#540	C₂²×C₁₇	1	2	yes	—
635	#540	C₂²×C₁₇	1	2	yes	complemented
636	#538	—	2	2	no	—
637	#532	—	2	1	no	—
638	#532	C₂²×C₁₇	1	1	yes	characteristic
639	#532	C₂²×C₁₇	1	1	yes	characteristic, complemented
640	#529	—	2	1	no	—
641	#529	C₂²×C₁₇	1	1	yes	characteristic
642	#525	—	2	1	no	—
643	C₂×#121	—	2	1	no	—
644	#520	C₂²×C₁₇	1	2	yes	complemented
645	#518	C₂²×C₁₇	1	2	yes	—
646	C₄×#41	C₂²×C₁₇	1	1	yes	characteristic, complemented
647	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
648	#499	C₂²×C₁₇	1	2	yes	complemented
649	#498	C₂²×C₁₇	1	1	yes	characteristic, complemented
650	#493	C₂²×C₁₇	1	2	yes	complemented
651	#493	C₂²×C₁₇	1	1	yes	characteristic, complemented
652	#490	C₂²×C₁₇	1	2	yes	complemented
653	#490	C₂²×C₁₇	1	2	yes	complemented
654	#486	C₂²×C₁₇	1	1	yes	characteristic, complemented
655	#486	C₂²×C₁₇	1	1	yes	characteristic, complemented
656	#482	C₂²×C₁₇	1	2	yes	complemented
657	#482	C₂²×C₁₇	1	2	yes	complemented
658	#482	C₂²×C₁₇	1	2	yes	complemented
659	#481	C₂²×C₁₇	1	2	yes	complemented
660	#480	C₂²×C₁₇	1	2	yes	complemented
661	#480	C₂²×C₁₇	1	2	yes	complemented
662	#479	C₂²×C₁₇	1	2	yes	complemented
663	#478	C₂²×C₁₇	1	2	yes	—
664	#478	C₂²×C₁₇	1	2	yes	complemented
665	#478	C₂²×C₁₇	1	2	yes	complemented
666	#477	C₂²×C₁₇	1	1	yes	characteristic, complemented
667	#476	C₂²×C₁₇	1	1	yes	characteristic, complemented
668	#474	C₂²×C₁₇	1	1	yes	characteristic
669	#474	C₂²×C₁₇	1	1	yes	characteristic, complemented
670	#469	C₂²×C₁₇	1	2	yes	complemented
671	#469	C₂²×C₁₇	1	2	yes	complemented
672	#469	C₂²×C₁₇	1	2	yes	complemented
673	#469	C₂²×C₁₇	1	2	yes	complemented
674	#466	C₂²×C₁₇	1	2	yes	complemented
675	#466	C₂²×C₁₇	1	2	yes	complemented
676	#460	C₂²×C₁₇	1	1	yes	characteristic, complemented
677	#460	C₂²×C₁₇	1	2	yes	complemented
678	#459	C₂²×C₁₇	1	1	yes	characteristic
679	#459	C₂²×C₁₇	1	2	yes	—
680	#459	C₂²×C₁₇	1	1	yes	characteristic, complemented
681	#459	C₂²×C₁₇	1	1	yes	characteristic, complemented
682	#459	C₂²×C₁₇	1	2	yes	complemented
683	#459	C₂²×C₁₇	1	2	yes	complemented
684	#449	C₂²×C₁₇	1	2	yes	complemented
685	#449	C₂²×C₁₇	1	2	yes	complemented
686	#449	C₂²×C₁₇	1	2	yes	complemented
687	#447	C₂²×C₁₇	1	2	yes	—
688	#447	C₂²×C₁₇	1	2	yes	—
689	#447	C₂²×C₁₇	1	2	yes	—
690	#446	C₂²×C₁₇	1	1	yes	characteristic, complemented
691	C₈×Q₈	C₂²×C₁₇	1	1	yes	characteristic, complemented
692	#442	C₂²×C₁₇	1	2	yes	—
693	#442	C₂²×C₁₇	1	1	yes	characteristic
694	#442	C₂²×C₁₇	1	2	yes	complemented
695	#442	C₂²×C₁₇	1	1	yes	characteristic, complemented
696	#442	C₂²×C₁₇	1	2	yes	complemented
697	#440	C₂²×C₁₇	1	1	yes	characteristic
698	#440	C₂²×C₁₇	1	2	yes	complemented
699	#440	C₂²×C₁₇	1	1	yes	characteristic, complemented
700	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
701	C₄×SD₁₆	C₂²×C₁₇	1	2	yes	—
702	C₄×SD₁₆	C₂²×C₁₇	1	2	yes	complemented
703	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic, complemented
704	C₄×D₈	C₂²×C₁₇	1	2	yes	—
705	C₄×D₈	C₂²×C₁₇	1	1	yes	characteristic
706	C₄×D₈	C₂²×C₁₇	1	1	yes	characteristic, complemented
707	C₄×D₈	C₂²×C₁₇	1	2	yes	complemented
708	C₄×D₈	C₂²×C₁₇	1	2	yes	complemented
709	C₄×D₈	C₂²×C₁₇	1	2	yes	complemented
710	#436	C₂²×C₁₇	1	1	yes	characteristic, complemented
711	#436	C₂²×C₁₇	1	2	yes	complemented
712	#435	C₂²×C₁₇	1	2	yes	complemented
713	C₈×D₄	C₂²×C₁₇	1	1	yes	characteristic, complemented
714	#433	C₂²×C₁₇	1	2	yes	complemented
715	#431	C₂²×C₁₇	1	1	yes	characteristic, complemented
716	#428	C₂²×C₁₇	1	2	yes	complemented
717	#428	C₂²×C₁₇	1	1	yes	characteristic, complemented
718	#418	C₂²×C₁₇	1	1	yes	characteristic
719	#417	C₂²×C₁₇	1	1	yes	characteristic, complemented
720	#416	C₂²×C₁₇	1	2	yes	complemented
721	C₂×#102	C₂²×C₁₇	1	2	yes	—
722	#405	C₂²×C₁₇	1	2	yes	complemented
723	C₄×M₁₆	C₂²×C₁₇	1	1	yes	characteristic, complemented
724	C₂×C₁₇	—	4	1	no	—
725	C₂×C₁₇	—	4	2	no	—
726	C₂×C₁₇	—	4	2	no	—
727	C₂×C₁₇	—	8	1	no	—
728	C₂×C₁₇	—	8	2	no	—
729	C₂×C₁₇	—	8	1	no	—
730	C₂×C₁₇	—	8	2	no	—
731	C₂×C₁₇	D₄×#41	1	1	yes	characteristic
732	C₂×C₁₇	C₂×#576	1	1	yes	characteristic
733	C₂×C₁₇	#3585	1	1	yes	characteristic
734	C₂×#41	—	2	1	no	—
735	C₂×#41	—	2	1	no	—
736	C₂×#41	—	2	1	no	—
737	C₂×#41	—	2	1	no	—
738	C₂×#41	—	2	1	no	—
739	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
740	C₂×#41	C₂³×C₁₇	1	2	yes	—
741	C₂²×D₄	—	2	1	no	—
742	C₂²×D₄	—	2	2	no	—
743	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
744	C₂²×D₄	C₂³×C₁₇	1	2	yes	—
745	C₂³×C₄	—	2	1	no	—
746	AGL(1,ℤ/8)	—	2	4	no	—
747	AGL(1,ℤ/8)	—	2	8	no	—
748	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
749	C₂×SD₁₆	C₂³×C₁₇	1	2	yes	—
750	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
751	C₂×D₈	C₂³×C₁₇	1	1	yes	characteristic
752	C₂×D₈	C₂³×C₁₇	1	2	yes	—
753	C₂×D₈	C₂³×C₁₇	1	1	yes	characteristic
754	C₂×D₈	C₂³×C₁₇	1	2	yes	—
755	C₂×D₈	C₂³×C₁₇	1	2	yes	—
756	C₂×D₈	C₂³×C₁₇	1	2	yes	—
757	C₂×D₈	C₂³×C₁₇	1	2	yes	—
758	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
759	C₂×M₁₆	C₂³×C₁₇	1	2	yes	—
760	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
761	C₂²×C₈	C₂³×C₁₇	1	2	yes	—
762	C₄⋊Q₈	—	2	1	no	—
763	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
764	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
765	#127	—	2	1	no	—
766	#127	—	2	2	no	—
767	#127	C₂³×C₁₇	1	1	yes	characteristic
768	#127	C₂³×C₁₇	1	1	yes	characteristic
769	#127	C₂³×C₁₇	1	2	yes	—
770	#127	C₂³×C₁₇	1	2	yes	—
771	#126	—	2	2	no	—
772	#126	—	2	2	no	—
773	#126	D₄×C₁₇	1	2	yes	—
774	#125	—	2	2	no	—
775	#125	D₄×C₁₇	1	1	yes	characteristic
776	#125	C₂³×C₁₇	1	2	yes	—
777	#125	C₂³×C₁₇	1	2	yes	—
778	#124	—	2	2	no	—
779	#124	—	2	1	no	—
780	#124	—	2	1	no	—
781	#124	D₄×C₁₇	1	1	yes	characteristic
782	#123	—	2	2	no	—
783	#123	—	2	2	no	—
784	#123	—	2	2	no	—
785	#123	—	2	2	no	—
786	#123	—	2	2	no	—
787	#123	—	2	2	no	—
788	#123	—	2	2	no	—
789	#123	D₄×C₁₇	1	2	yes	—
790	C₂²⋊Q₈	—	2	1	no	—
791	C₂²⋊Q₈	—	2	1	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	D₄×C₁₇	1	1	yes	characteristic
794	#121	—	2	2	no	—
795	#121	—	2	1	no	—
796	#121	—	2	2	no	—
797	#121	—	2	1	no	—
798	#121	—	2	1	no	—
799	#121	—	2	1	no	—
800	#121	—	2	1	no	—
801	#121	—	2	1	no	—
802	#121	—	2	2	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	—	2	2	no	—
807	#121	—	2	2	no	—
808	#121	—	2	2	no	—
809	#121	—	2	2	no	—
810	#121	—	2	2	no	—
811	#121	—	2	2	no	—
812	#121	D₄×C₁₇	1	1	yes	characteristic
813	#121	C₂³×C₁₇	1	2	yes	—
814	#121	C₂³×C₁₇	1	2	yes	—
815	#121	C₂³×C₁₇	1	2	yes	—
816	#121	C₂³×C₁₇	1	2	yes	—
817	#121	C₂³×C₁₇	1	2	yes	—
818	#121	C₂³×C₁₇	1	2	yes	—
819	#120	—	2	2	no	—
820	#120	—	2	2	no	—
821	#120	—	2	2	no	—
822	C₄×Q₈	—	2	1	no	—
823	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
824	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
825	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
826	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	2	no	—
830	C₄×D₄	—	2	2	no	—
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	2	2	no	—
833	C₄×D₄	—	2	2	no	—
834	C₄×D₄	—	2	2	no	—
835	C₄×D₄	—	2	2	no	—
836	C₄×D₄	—	2	2	no	—
837	C₄×D₄	—	2	1	no	—
838	C₄×D₄	—	2	1	no	—
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
842	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
843	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
844	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
845	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
846	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
847	C₄×D₄	C₂³×C₁₇	1	2	yes	—
848	C₄×D₄	C₂³×C₁₇	1	2	yes	—
849	C₄×D₄	C₂³×C₁₇	1	2	yes	—
850	C₄×D₄	C₂³×C₁₇	1	2	yes	—
851	C₄×D₄	C₂³×C₁₇	1	2	yes	—
852	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
853	C₄×D₄	C₂³×C₁₇	1	2	yes	—
854	#117	—	2	2	no	—
855	#117	—	2	1	no	—
856	#117	—	2	1	no	—
857	#117	C₂³×C₁₇	1	1	yes	characteristic
858	#117	C₂³×C₁₇	1	2	yes	—
859	#117	C₂³×C₁₇	1	2	yes	—
860	C₂×C₄⋊C₄	—	2	2	no	—
861	C₂×C₄⋊C₄	—	2	1	no	—
862	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
864	C₂×C₂²⋊C₄	—	2	1	no	—
865	C₂×C₂²⋊C₄	—	2	2	no	—
866	C₂×C₂²⋊C₄	—	2	2	no	—
867	C₂×C₄²	—	2	1	no	—
868	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
869	#107	C₂³×C₁₇	1	1	yes	characteristic
870	#107	C₂³×C₁₇	1	2	yes	—
871	#107	C₂³×C₁₇	1	1	yes	characteristic
872	#107	C₂³×C₁₇	1	2	yes	—
873	#107	C₂³×C₁₇	1	2	yes	—
874	#106	C₂³×C₁₇	1	2	yes	—
875	#106	C₂³×C₁₇	1	1	yes	characteristic
876	#106	C₂³×C₁₇	1	2	yes	—
877	#106	C₂³×C₁₇	1	1	yes	characteristic
878	#106	C₂³×C₁₇	1	2	yes	—
879	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
880	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
881	C₄⋊C₈	C₂³×C₁₇	1	2	yes	—
882	C₄⋊C₈	C₂³×C₁₇	1	2	yes	—
883	#103	C₂³×C₁₇	1	1	yes	characteristic
884	#103	C₂³×C₁₇	1	2	yes	—
885	#103	C₂³×C₁₇	1	1	yes	characteristic
886	#102	C₂³×C₁₇	1	1	yes	characteristic
887	#102	C₂³×C₁₇	1	2	yes	—
888	#102	C₂³×C₁₇	1	2	yes	—
889	#102	C₂³×C₁₇	1	2	yes	—
890	#102	C₂³×C₁₇	1	2	yes	—
891	#102	C₂³×C₁₇	1	2	yes	—
892	#102	C₂³×C₁₇	1	1	yes	characteristic
893	#102	C₂³×C₁₇	1	1	yes	characteristic
894	#102	C₂³×C₁₇	1	1	yes	characteristic
895	#102	C₂³×C₁₇	1	1	yes	characteristic
896	#102	C₂³×C₁₇	1	1	yes	characteristic
897	#102	C₂³×C₁₇	1	2	yes	—
898	#102	C₂³×C₁₇	1	2	yes	—
899	#102	C₂³×C₁₇	1	2	yes	—
900	#102	C₂³×C₁₇	1	2	yes	—
901	#102	C₂³×C₁₇	1	2	yes	—
902	#102	C₂³×C₁₇	1	2	yes	—
903	C₂²⋊C₈	C₂³×C₁₇	1	2	yes	—
904	C₂²⋊C₈	C₂³×C₁₇	1	2	yes	—
905	C₂²⋊C₈	C₂³×C₁₇	1	2	yes	—
906	#97	C₂³×C₁₇	1	1	yes	characteristic
907	#97	C₂³×C₁₇	1	1	yes	characteristic
908	#97	C₂³×C₁₇	1	2	yes	—
909	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
910	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
911	C₄×C₈	C₂³×C₁₇	1	2	yes	—
912	C₄×C₈	C₂³×C₁₇	1	2	yes	—
913	C₁₇	#61555	1	1	yes	characteristic, direct product factor, Sylow
914	C₂⁴	—	2	1	no	—
915	C₂⁴	—	2	2	no	—
916	#41	—	2	2	no	—
917	#41	—	2	4	no	—
918	#41	—	4	2	no	—
919	#41	—	4	1	no	—
920	#41	—	8	2	no	—
921	#41	—	8	2	no	—
922	#41	—	8	2	no	—
923	#41	—	8	2	no	—
924	#41	—	8	2	no	—
925	C₂×Q₈	—	2	1	no	—
926	C₂×Q₈	—	2	1	no	—
927	C₂×Q₈	C₂×D₄×C₁₇	1	1	yes	characteristic
928	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	4	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	1	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	2	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	1	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	2	1	no	—
944	C₂×D₄	—	2	2	no	—
945	C₂×D₄	—	2	2	no	—
946	C₂×D₄	—	2	1	no	—
947	C₂×D₄	—	2	2	no	—
948	C₂×D₄	—	2	2	no	—
949	C₂×D₄	—	4	2	no	—
950	C₂×D₄	—	4	1	no	—
951	C₂×D₄	—	8	2	no	—
952	C₂×D₄	—	8	4	no	—
953	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
954	C₂×D₄	C₂×D₄×C₁₇	1	2	yes	—
955	C₂×D₄	C₂⁴×C₁₇	1	2	yes	—
956	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
957	C₂×D₄	C₂⁴×C₁₇	1	2	yes	—
958	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
959	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
960	C₂²×C₄	—	2	1	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	1	no	—
966	C₂²×C₄	—	2	1	no	—
967	C₂²×C₄	—	2	1	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	2	no	—
970	C₂²×C₄	—	2	2	no	—
971	C₂²×C₄	—	2	2	no	—
972	C₂²×C₄	—	2	2	no	—
973	C₂²×C₄	—	2	2	no	—
974	C₂²×C₄	—	2	1	no	—
975	C₂²×C₄	—	8	2	no	—
976	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
977	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
978	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
979	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
980	SD₁₆	—	2	2	no	—
981	SD₁₆	—	2	4	no	—
982	SD₁₆	#41×C₁₇	1	4	yes	complemented
983	D₈	—	2	2	no	—
984	D₈	—	2	4	no	—
985	D₈	—	2	2	no	—
986	D₈	—	2	4	no	—
987	D₈	—	4	2	no	—
988	D₈	—	4	2	no	—
989	D₈	—	4	2	no	—
990	M₁₆	—	2	2	no	—
991	M₁₆	—	2	4	no	—
992	M₁₆	—	4	1	no	—
993	C₂×C₈	—	4	2	no	—
994	C₂×C₈	C₂⁴×C₁₇	1	2	yes	—
995	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
996	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
997	C₂×C₈	C₂⁴×C₁₇	1	2	yes	—
998	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
999	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	—	2	1	no	—
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	1	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	1	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1012	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1013	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1014	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1015	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1016	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1017	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1018	C₄⋊C₄	C₂⁴×C₁₇	1	2	yes	—
1019	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1020	C₄⋊C₄	C₂⁴×C₁₇	1	2	yes	—
1021	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1022	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	1	no	—
1025	C₂²⋊C₄	—	2	1	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	1	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	1	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	1	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	1	no	—
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1043	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1044	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1045	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1046	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1047	C₄²	—	2	1	no	—
1048	C₄²	—	2	1	no	—
1049	C₄²	—	2	1	no	—
1050	C₄²	—	2	2	no	—
1051	C₄²	—	2	2	no	—
1052	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1053	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1054	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1055	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1056	C₄²	C₂⁴×C₁₇	1	2	yes	—
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	2	1	no	—
1061	C₂³	—	2	2	no	—
1062	C₂³	—	4	2	no	—
1063	C₂³	—	4	4	no	—
1064	C₂³	—	4	2	no	—
1065	C₂³	—	8	1	no	—
1066	C₂³	—	8	2	no	—
1067	C₂³	—	8	2	no	—
1068	C₂³	C₂²×D₄×C₁₇	1	2	yes	—
1069	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1070	Q₈	—	2	2	no	—
1071	Q₈	—	2	1	no	—
1072	Q₈	—	4	2	no	—
1073	Q₈	—	8	1	no	—
1074	Q₈	C₂×#41×C₁₇	1	2	yes	—
1075	D₄	—	2	2	no	—
1076	D₄	—	2	2	no	—
1077	D₄	—	2	1	no	—
1078	D₄	—	2	1	no	—
1079	D₄	—	2	2	no	—
1080	D₄	—	2	1	no	—
1081	D₄	—	2	1	no	—
1082	D₄	—	2	2	no	—
1083	D₄	—	2	1	no	—
1084	D₄	—	2	2	no	—
1085	D₄	—	4	2	no	—
1086	D₄	—	4	4	no	—
1087	D₄	—	4	2	no	—
1088	D₄	—	4	2	no	—
1089	D₄	—	4	4	no	—
1090	D₄	—	4	4	no	—
1091	D₄	—	4	2	no	—
1092	D₄	—	4	2	no	—
1093	D₄	—	8	2	no	—
1094	D₄	—	8	2	no	—
1095	D₄	—	8	2	no	—
1096	D₄	—	8	1	no	—
1097	D₄	—	8	1	no	—
1098	D₄	—	8	2	no	—
1099	D₄	—	8	2	no	—
1100	D₄	—	8	2	no	—
1101	D₄	—	8	2	no	—
1102	D₄	—	8	2	no	—
1103	D₄	—	8	2	no	—
1104	D₄	C₂×#41×C₁₇	1	2	yes	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	2	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	4	1	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	4	no	—
1120	C₂×C₄	—	4	2	no	—
1121	C₂×C₄	—	4	2	no	—
1122	C₂×C₄	—	4	2	no	—
1123	C₂×C₄	—	8	1	no	—
1124	C₂×C₄	—	8	1	no	—
1125	C₂×C₄	—	8	2	no	—
1126	C₂×C₄	—	8	2	no	—
1127	C₂×C₄	—	8	2	no	—
1128	C₂×C₄	—	8	2	no	—
1129	C₂×C₄	—	8	2	no	—
1130	C₂×C₄	—	8	1	no	—
1131	C₂×C₄	—	8	1	no	—
1132	C₂×C₄	—	8	2	no	—
1133	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1134	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1135	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1136	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1137	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1138	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1139	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1140	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1141	C₂×C₄	C₂⁵×C₁₇	1	1	yes	characteristic
1142	C₈	—	2	1	no	—
1143	C₈	—	2	2	no	—
1144	C₈	—	2	1	no	—
1145	C₈	—	2	2	no	—
1146	C₈	—	2	1	no	—
1147	C₈	C₂×#41×C₁₇	1	2	yes	—
1148	C₂²	—	2	1	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	2	no	—
1151	C₂²	—	2	1	no	—
1152	C₂²	—	2	2	no	—
1153	C₂²	—	2	1	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	4	1	no	—
1156	C₂²	—	4	1	no	—
1157	C₂²	—	4	1	no	—
1158	C₂²	—	4	2	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	2	no	—
1161	C₂²	—	4	1	no	—
1162	C₂²	—	4	1	no	—
1163	C₂²	—	4	2	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	4	2	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	2	no	—
1169	C₂²	—	8	4	no	—
1170	C₂²	—	16	4	no	—
1171	C₂²	C₂³×D₄×C₁₇	1	1	yes	characteristic
1172	C₄	—	2	2	no	—
1173	C₄	—	2	1	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	1	no	—
1176	C₄	—	2	2	no	—
1177	C₄	—	2	1	no	—
1178	C₄	—	2	1	no	—
1179	C₄	—	2	2	no	—
1180	C₄	—	4	1	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	2	no	—
1184	C₄	—	4	2	no	—
1185	C₄	—	4	1	no	—
1186	C₄	C₁₇×#576	1	2	yes	—
1187	C₄	C₂²×#41×C₁₇	1	1	yes	characteristic
1188	C₄	C₁₇×#585	1	1	yes	characteristic
1189	C₂	—	4	1	no	—
1190	C₂	—	4	2	no	—
1191	C₂	—	4	2	no	—
1192	C₂	—	8	1	no	—
1193	C₂	—	8	2	no	—
1194	C₂	—	8	1	no	—
1195	C₂	—	8	2	no	—
1196	C₂	D₄×#41×C₁₇	1	1	yes	characteristic
1197	C₂	C₂×C₁₇×#576	1	1	yes	characteristic
1198	C₂	C₁₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₇ ◁ C₁₇×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₇×#3519	C₂	semidirect
2. C₁₇×#3517	C₂	semidirect
3. C₁₇×#3391	C₂	semidirect
4. C₁₇×#3381	C₂	semidirect
5. C₁₇×#3368	C₂	semidirect
6. C₁₇×#3366	C₂	semidirect
7. C₁₇×#3355	C₂	semidirect
8. C₁₇×#3354	C₂	semidirect
9. C₁₇×#3318	C₂	semidirect
10. C₁₇×#3309	C₂	semidirect
11. C₁₇×#3305	C₂	semidirect
12. C₁₇×#3294	C₂	semidirect
13. C₁₇×#3274	C₂	semidirect
14. C₁₇×#3274	C₂	semidirect
15. C₁₇×#3184	C₂	semidirect
16. C₁₇×#3176	C₂	semidirect
17. C₁₇×#3122	C₂	semidirect
18. C₁₇×#3119	C₂	semidirect
19. C₁₇×#3106	C₂	semidirect
20. C₁₇×#3100	C₂	semidirect
21. C₁₇×#2969	C₂	semidirect
22. C₁₇×#2946	C₂	semidirect
23. C₄×C₁₇×AGL(1,ℤ/8)	C₂	semidirect
26. C₁₇×#557	C₂²	semidirect
32. C₁₇×#553	C₂²	semidirect
35. C₁₇×#550	C₂²	semidirect
36. C₁₇×#550	C₂²	semidirect
37. C₁₇×#550	C₂²	semidirect
39. C₁₇×#547	C₂²	semidirect
46. C₁₇×#540	C₂²	semidirect
50. C₁₇×#532	C₂²	semidirect
55. C₁₇×#520	C₂²	semidirect
57. C₄×#41×C₁₇	C₂²	semidirect
59. C₁₇×#499	C₂²	semidirect
60. C₁₇×#498	C₂²	semidirect
61. C₁₇×#493	C₂²	semidirect
62. C₁₇×#493	C₂²	semidirect
63. C₁₇×#490	C₂²	semidirect
64. C₁₇×#490	C₂²	semidirect
65. C₁₇×#486	C₂²	semidirect
66. C₁₇×#486	C₂²	semidirect
67. C₁₇×#482	C₂²	semidirect
68. C₁₇×#482	C₂²	semidirect
69. C₁₇×#482	C₂²	semidirect
70. C₁₇×#481	C₂²	semidirect
71. C₁₇×#480	C₂²	semidirect
72. C₁₇×#480	C₂²	semidirect
73. C₁₇×#479	C₂²	semidirect
75. C₁₇×#478	C₂²	semidirect
76. C₁₇×#478	C₂²	semidirect
77. C₁₇×#477	C₂²	semidirect
78. C₁₇×#476	C₂²	semidirect
80. C₁₇×#474	C₂²	semidirect
81. C₁₇×#469	C₂²	semidirect
82. C₁₇×#469	C₂²	semidirect
83. C₁₇×#469	C₂²	semidirect
84. C₁₇×#469	C₂²	semidirect
85. C₁₇×#466	C₂²	semidirect
86. C₁₇×#466	C₂²	semidirect
87. C₁₇×#460	C₂²	semidirect
88. C₁₇×#460	C₂²	semidirect
91. C₁₇×#459	C₂²	semidirect
92. C₁₇×#459	C₂²	semidirect
93. C₁₇×#459	C₂²	semidirect
94. C₁₇×#459	C₂²	semidirect
95. C₁₇×#449	C₂²	semidirect
96. C₁₇×#449	C₂²	semidirect
97. C₁₇×#449	C₂²	semidirect
101. C₁₇×#446	C₂²	semidirect
102. C₈×Q₈×C₁₇	C₂²	semidirect
105. C₁₇×#442	C₂²	semidirect
106. C₁₇×#442	C₂²	semidirect
107. C₁₇×#442	C₂²	semidirect
109. C₁₇×#440	C₂²	semidirect
110. C₁₇×#440	C₂²	semidirect
113. C₄×SD₁₆×C₁₇	C₂²	semidirect
114. C₄×SD₁₆×C₁₇	C₂²	semidirect
117. C₄×D₈×C₁₇	C₂²	semidirect
118. C₄×D₈×C₁₇	C₂²	semidirect
119. C₄×D₈×C₁₇	C₂²	semidirect
120. C₄×D₈×C₁₇	C₂²	semidirect
121. C₁₇×#436	C₂²	semidirect
122. C₁₇×#436	C₂²	semidirect
123. C₁₇×#435	C₂²	semidirect
124. C₈×D₄×C₁₇	C₂²	semidirect
125. C₁₇×#433	C₂²	semidirect
126. C₁₇×#431	C₂²	semidirect
127. C₁₇×#428	C₂²	semidirect
128. C₁₇×#428	C₂²	semidirect
130. C₁₇×#417	C₂²	semidirect
131. C₁₇×#416	C₂²	semidirect
133. C₁₇×#405	C₂²	semidirect
134. C₄×M₁₆×C₁₇	C₂²	semidirect
382. SD₁₆×C₁₇	#41	semidirect
457. #61555	C₁₇	direct (N × H)
549. #3519	C₂×C₁₇	semidirect
550. #3517	C₂×C₁₇	semidirect
551. #3391	C₂×C₁₇	semidirect
552. #3381	C₂×C₁₇	semidirect
553. #3368	C₂×C₁₇	semidirect
554. #3366	C₂×C₁₇	semidirect
555. #3355	C₂×C₁₇	semidirect
556. #3354	C₂×C₁₇	semidirect
557. #3318	C₂×C₁₇	semidirect
558. #3309	C₂×C₁₇	semidirect
559. #3305	C₂×C₁₇	semidirect
560. #3294	C₂×C₁₇	semidirect
561. #3274	C₂×C₁₇	semidirect
562. #3274	C₂×C₁₇	semidirect
563. #3184	C₂×C₁₇	semidirect
564. #3176	C₂×C₁₇	semidirect
565. #3122	C₂×C₁₇	semidirect
566. #3119	C₂×C₁₇	semidirect
567. #3106	C₂×C₁₇	semidirect
568. #3100	C₂×C₁₇	semidirect
569. #2969	C₂×C₁₇	semidirect
570. #2946	C₂×C₁₇	semidirect
571. C₄×AGL(1,ℤ/8)	C₂×C₁₇	semidirect
615. #557	C₂²×C₁₇	semidirect
621. #553	C₂²×C₁₇	semidirect
624. #550	C₂²×C₁₇	semidirect
625. #550	C₂²×C₁₇	semidirect
626. #550	C₂²×C₁₇	semidirect
628. #547	C₂²×C₁₇	semidirect
635. #540	C₂²×C₁₇	semidirect
639. #532	C₂²×C₁₇	semidirect
644. #520	C₂²×C₁₇	semidirect
646. C₄×#41	C₂²×C₁₇	semidirect
648. #499	C₂²×C₁₇	semidirect
649. #498	C₂²×C₁₇	semidirect
650. #493	C₂²×C₁₇	semidirect
651. #493	C₂²×C₁₇	semidirect
652. #490	C₂²×C₁₇	semidirect
653. #490	C₂²×C₁₇	semidirect
654. #486	C₂²×C₁₇	semidirect
655. #486	C₂²×C₁₇	semidirect
656. #482	C₂²×C₁₇	semidirect
657. #482	C₂²×C₁₇	semidirect
658. #482	C₂²×C₁₇	semidirect
659. #481	C₂²×C₁₇	semidirect
660. #480	C₂²×C₁₇	semidirect
661. #480	C₂²×C₁₇	semidirect
662. #479	C₂²×C₁₇	semidirect
664. #478	C₂²×C₁₇	semidirect
665. #478	C₂²×C₁₇	semidirect
666. #477	C₂²×C₁₇	semidirect
667. #476	C₂²×C₁₇	semidirect
669. #474	C₂²×C₁₇	semidirect
670. #469	C₂²×C₁₇	semidirect
671. #469	C₂²×C₁₇	semidirect
672. #469	C₂²×C₁₇	semidirect
673. #469	C₂²×C₁₇	semidirect
674. #466	C₂²×C₁₇	semidirect
675. #466	C₂²×C₁₇	semidirect
676. #460	C₂²×C₁₇	semidirect
677. #460	C₂²×C₁₇	semidirect
680. #459	C₂²×C₁₇	semidirect
681. #459	C₂²×C₁₇	semidirect
682. #459	C₂²×C₁₇	semidirect
683. #459	C₂²×C₁₇	semidirect
684. #449	C₂²×C₁₇	semidirect
685. #449	C₂²×C₁₇	semidirect
686. #449	C₂²×C₁₇	semidirect
690. #446	C₂²×C₁₇	semidirect
691. C₈×Q₈	C₂²×C₁₇	semidirect
694. #442	C₂²×C₁₇	semidirect
695. #442	C₂²×C₁₇	semidirect
696. #442	C₂²×C₁₇	semidirect
698. #440	C₂²×C₁₇	semidirect
699. #440	C₂²×C₁₇	semidirect
702. C₄×SD₁₆	C₂²×C₁₇	semidirect
703. C₄×SD₁₆	C₂²×C₁₇	semidirect
706. C₄×D₈	C₂²×C₁₇	semidirect
707. C₄×D₈	C₂²×C₁₇	semidirect
708. C₄×D₈	C₂²×C₁₇	semidirect
709. C₄×D₈	C₂²×C₁₇	semidirect
710. #436	C₂²×C₁₇	semidirect
711. #436	C₂²×C₁₇	semidirect
712. #435	C₂²×C₁₇	semidirect
713. C₈×D₄	C₂²×C₁₇	semidirect
714. #433	C₂²×C₁₇	semidirect
715. #431	C₂²×C₁₇	semidirect
716. #428	C₂²×C₁₇	semidirect
717. #428	C₂²×C₁₇	semidirect
719. #417	C₂²×C₁₇	semidirect
720. #416	C₂²×C₁₇	semidirect
722. #405	C₂²×C₁₇	semidirect
723. C₄×M₁₆	C₂²×C₁₇	semidirect
913. C₁₇	#61555	direct (N × H)
982. SD₁₆	#41×C₁₇	semidirect

Maximal subgroups

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

subgroup	index
C₁₇×#3519	2
C₁₇×#3517	2
C₁₇×#3391	2
C₁₇×#3381	2
C₁₇×#3368	2
C₁₇×#3366	2
C₁₇×#3355	2
C₁₇×#3354	2
C₁₇×#3318	2
C₁₇×#3309	2
C₁₇×#3305	2
C₁₇×#3294	2
C₁₇×#3274	2
C₁₇×#3184	2
C₁₇×#3176	2
C₁₇×#3122	2
C₁₇×#3119	2
C₁₇×#3106	2
C₁₇×#3100	2
C₁₇×#2969	2
C₁₇×#2946	2
C₄×C₁₇×AGL(1,ℤ/8)	2
#61555	17

Subgroups — C17×#61555 #16919299

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#61555 #16919299