Subgroups — C₁₇×#61532 #16919276

Order 4352.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#3521	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₇×#3515	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₇×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#3389	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₇×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#3349	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₇×#3344	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#3315	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#3315	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#3314	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#3307	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#3302	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#3296	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₇×#3283	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₇×#3267	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₇×#3267	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₇×#3181	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₇×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₇×#3177	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₇×#3124	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₇×#3123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₇×#3107	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₇×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₇×#2968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₇×#2952	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₇×#2946	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#2943	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₁₇×#135	C₂²	1	1	yes	characteristic
34	C₂×C₁₇×#135	C₂²	1	1	yes	characteristic
35	C₁₇×#557	C₂²	1	1	yes	characteristic, complemented
36	C₁₇×#556	C₂²	1	1	yes	characteristic
37	C₁₇×#556	C₂²	1	1	yes	characteristic
38	C₁₇×#554	C₂²	1	1	yes	characteristic
39	C₁₇×#554	C₂²	1	1	yes	characteristic
40	C₁₇×#554	C₂²	1	1	yes	characteristic, complemented
41	C₁₇×#553	—	2	1	no	—
42	C₁₇×#553	—	2	1	no	—
43	C₁₇×#553	C₂²	1	1	yes	characteristic
44	C₁₇×#552	—	2	1	no	—
45	C₁₇×#552	—	2	1	no	—
46	C₁₇×#552	—	2	1	no	—
47	C₁₇×#552	—	2	1	no	—
48	C₁₇×#552	C₂²	1	1	yes	characteristic
49	C₁₇×#552	C₂²	1	1	yes	characteristic
50	C₁₇×#552	C₂²	1	1	yes	characteristic, complemented
51	C₁₇×#551	—	2	1	no	—
52	C₁₇×#551	—	2	1	no	—
53	C₁₇×#547	C₂²	1	1	yes	characteristic
54	C₁₇×#547	C₂²	1	1	yes	characteristic
55	C₁₇×#547	C₂²	1	1	yes	characteristic
56	C₁₇×#547	C₂²	1	1	yes	characteristic, complemented
57	C₁₇×#546	C₂²	1	1	yes	characteristic
58	C₁₇×#546	C₂²	1	1	yes	characteristic
59	C₁₇×#542	C₂²	1	1	yes	characteristic
60	C₁₇×#541	C₂²	1	1	yes	characteristic
61	C₁₇×#541	C₂²	1	1	yes	characteristic
62	C₁₇×#541	C₂²	1	1	yes	characteristic, complemented
63	C₁₇×#539	—	2	1	no	—
64	C₁₇×#539	—	2	1	no	—
65	C₁₇×#539	—	2	1	no	—
66	C₁₇×#538	—	2	1	no	—
67	C₁₇×#533	C₂²	1	1	yes	characteristic, complemented
68	C₁₇×#529	—	2	1	no	—
69	C₁₇×#529	—	2	1	no	—
70	C₁₇×#529	C₂²	1	1	yes	characteristic
71	C₁₇×#529	C₂²	1	1	yes	characteristic
72	C₂×C₁₇×#126	—	2	1	no	—
73	C₂×C₁₇×#125	—	2	1	no	—
74	C₁₇×#520	C₂²	1	1	yes	characteristic
75	C₁₇×#520	C₂²	1	1	yes	characteristic
76	C₁₇×#520	C₂²	1	1	yes	characteristic, complemented
77	C₁₇×#518	C₂²	1	1	yes	characteristic
78	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic
79	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic, complemented
80	C₁₇×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₇×#501	C₂²	1	1	yes	characteristic, complemented
82	C₁₇×#499	C₂²	1	1	yes	characteristic, complemented
83	C₁₇×#497	C₂²	1	1	yes	characteristic
84	C₁₇×#497	C₂²	1	1	yes	characteristic
85	C₁₇×#494	C₂²	1	1	yes	characteristic, complemented
86	C₁₇×#491	C₂²	1	1	yes	characteristic, complemented
87	C₁₇×#491	C₂²	1	1	yes	characteristic, complemented
88	C₁₇×#491	C₂²	1	1	yes	characteristic, complemented
89	C₁₇×#489	C₂²	1	1	yes	characteristic
90	C₁₇×#488	C₂²	1	1	yes	characteristic
91	C₁₇×#487	C₂²	1	1	yes	characteristic, complemented
92	C₁₇×#485	C₂²	1	1	yes	characteristic
93	C₁₇×#485	C₂²	1	1	yes	characteristic
94	C₁₇×#485	C₂²	1	1	yes	characteristic, complemented
95	C₁₇×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₇×#485	C₂²	1	1	yes	characteristic, complemented
97	C₁₇×#484	C₂²	1	1	yes	characteristic
98	C₁₇×#484	C₂²	1	1	yes	characteristic, complemented
99	C₁₇×#484	C₂²	1	1	yes	characteristic, complemented
100	C₁₇×#483	C₂²	1	1	yes	characteristic
101	C₁₇×#483	C₂²	1	1	yes	characteristic, complemented
102	C₁₇×#482	C₂²	1	1	yes	characteristic
103	C₁₇×#480	C₂²	1	1	yes	characteristic
104	C₁₇×#479	C₂²	1	1	yes	characteristic, complemented
105	C₁₇×#479	C₂²	1	1	yes	characteristic, complemented
106	C₁₇×#479	C₂²	1	1	yes	characteristic, complemented
107	C₁₇×#478	C₂²	1	1	yes	characteristic
108	C₁₇×#478	C₂²	1	1	yes	characteristic
109	C₁₇×#478	C₂²	1	1	yes	characteristic
110	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
111	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
112	C₁₇×#477	C₂²	1	1	yes	characteristic, complemented
113	C₁₇×#475	C₂²	1	1	yes	characteristic, complemented
114	C₁₇×#474	C₂²	1	1	yes	characteristic
115	C₁₇×#474	C₂²	1	1	yes	characteristic, complemented
116	C₁₇×#470	C₂²	1	1	yes	characteristic
117	C₁₇×#470	C₂²	1	1	yes	characteristic
118	C₁₇×#470	C₂²	1	1	yes	characteristic, complemented
119	C₁₇×#468	C₂²	1	1	yes	characteristic
120	C₁₇×#467	C₂²	1	1	yes	characteristic
121	C₁₇×#467	C₂²	1	1	yes	characteristic
122	C₁₇×#467	C₂²	1	1	yes	characteristic, complemented
123	C₁₇×#467	C₂²	1	1	yes	characteristic, complemented
124	C₁₇×#467	C₂²	1	1	yes	characteristic, complemented
125	C₁₇×#465	C₂²	1	1	yes	characteristic
126	C₁₇×#465	C₂²	1	1	yes	characteristic
127	C₁₇×#465	C₂²	1	1	yes	characteristic
128	C₁₇×#464	C₂²	1	1	yes	characteristic
129	C₁₇×#464	C₂²	1	1	yes	characteristic
130	C₁₇×#463	C₂²	1	1	yes	characteristic
131	C₁₇×#463	C₂²	1	1	yes	characteristic
132	C₁₇×#462	C₂²	1	1	yes	characteristic, complemented
133	C₁₇×#462	C₂²	1	1	yes	characteristic, complemented
134	C₁₇×#462	C₂²	1	1	yes	characteristic, complemented
135	C₁₇×#461	C₂²	1	1	yes	characteristic
136	C₁₇×#461	C₂²	1	1	yes	characteristic
137	C₁₇×#461	C₂²	1	1	yes	characteristic
138	C₁₇×#461	C₂²	1	1	yes	characteristic
139	C₁₇×#461	C₂²	1	1	yes	characteristic, complemented
140	C₁₇×#452	C₂²	1	1	yes	characteristic
141	C₁₇×#452	C₂²	1	1	yes	characteristic
142	C₁₇×#452	C₂²	1	1	yes	characteristic
143	C₁₇×#452	C₂²	1	1	yes	characteristic
144	C₁₇×#452	C₂²	1	1	yes	characteristic
145	C₁₇×#452	C₂²	1	1	yes	characteristic
146	C₁₇×#452	C₂²	1	1	yes	characteristic, complemented
147	C₁₇×#452	C₂²	1	1	yes	characteristic, complemented
148	C₁₇×#450	C₂²	1	1	yes	characteristic
149	C₁₇×#450	C₂²	1	1	yes	characteristic
150	C₁₇×#449	C₂²	1	1	yes	characteristic
151	C₁₇×#449	C₂²	1	1	yes	characteristic
152	C₁₇×#446	C₂²	1	1	yes	characteristic, complemented
153	C₁₇×#446	C₂²	1	1	yes	characteristic, complemented
154	C₁₇×#442	C₂²	1	1	yes	characteristic
155	C₁₇×#442	C₂²	1	1	yes	characteristic
156	C₁₇×#442	C₂²	1	1	yes	characteristic
157	C₁₇×#442	C₂²	1	1	yes	characteristic
158	C₁₇×#441	C₂²	1	1	yes	characteristic, complemented
159	C₁₇×#441	C₂²	1	1	yes	characteristic, complemented
160	C₁₇×#441	C₂²	1	1	yes	characteristic, complemented
161	C₁₇×#441	C₂²	1	1	yes	characteristic, complemented
162	C₁₇×#441	C₂²	1	1	yes	characteristic, complemented
163	C₁₇×#440	C₂²	1	1	yes	characteristic
164	C₁₇×#440	C₂²	1	1	yes	characteristic
165	C₁₇×#440	C₂²	1	1	yes	characteristic
166	C₁₇×#440	C₂²	1	1	yes	characteristic
167	C₁₇×#440	C₂²	1	1	yes	characteristic
168	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
169	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×Q₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
171	C₄×Q₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
172	C₄×Q₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
174	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
175	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
176	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
177	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
178	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic
181	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic
182	C₁₇×#435	C₂²	1	1	yes	characteristic
183	C₁₇×#435	C₂²	1	1	yes	characteristic
184	C₁₇×#435	C₂²	1	1	yes	characteristic
185	C₁₇×#435	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₁₇	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#433	C₂²	1	1	yes	characteristic
189	C₁₇×#433	C₂²	1	1	yes	characteristic, complemented
190	C₁₇×#431	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#428	C₂²	1	1	yes	characteristic
192	C₁₇×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₁₇×#106	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#417	C₂²	1	1	yes	characteristic
195	C₁₇×#417	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#416	C₂²	1	1	yes	characteristic
197	C₁₇×#416	C₂²	1	1	yes	characteristic
198	C₁₇×#416	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
200	C₁₇×#405	C₂²	1	1	yes	characteristic
201	C₁₇×#405	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₇×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
204	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
205	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
206	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
207	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
209	C₁₇×AGL(1,ℤ/8)	—	2	4	no	—
210	C₁₇×#135	—	2	4	no	—
211	C₁₇×#135	—	2	4	no	—
212	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
217	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
229	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
231	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
234	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₁₇×#126	—	2	1	no	—
241	C₁₇×#126	—	2	1	no	—
242	C₁₇×#126	—	2	1	no	—
243	C₁₇×#126	—	2	1	no	—
244	C₁₇×#126	—	2	1	no	—
245	C₁₇×#126	—	2	1	no	—
246	C₁₇×#126	—	2	1	no	—
247	C₁₇×#126	—	2	1	no	—
248	C₁₇×#126	—	2	1	no	—
249	C₁₇×#126	—	2	1	no	—
250	C₁₇×#126	—	2	1	no	—
251	C₁₇×#126	—	2	1	no	—
252	C₁₇×#126	—	2	1	no	—
253	C₁₇×#126	—	2	1	no	—
254	C₁₇×#126	—	2	1	no	—
255	C₁₇×#126	—	2	1	no	—
256	C₁₇×#126	D₄	1	1	yes	characteristic
257	C₁₇×#126	D₄	1	1	yes	characteristic
258	C₁₇×#125	—	2	1	no	—
259	C₁₇×#125	—	2	1	no	—
260	C₁₇×#125	—	2	1	no	—
261	C₁₇×#125	—	2	1	no	—
262	C₁₇×#125	—	2	1	no	—
263	C₁₇×#125	—	2	1	no	—
264	C₁₇×#125	—	2	1	no	—
265	C₁₇×#125	—	2	1	no	—
266	C₁₇×#125	—	2	1	no	—
267	C₁₇×#125	—	2	1	no	—
268	C₁₇×#125	—	2	1	no	—
269	C₁₇×#125	—	2	1	no	—
270	C₁₇×#125	—	2	1	no	—
271	C₁₇×#125	—	2	1	no	—
272	C₁₇×#125	D₄	1	1	yes	characteristic
273	C₁₇×#125	C₂³	1	1	yes	characteristic
274	C₁₇×#125	C₂³	1	1	yes	characteristic
275	C₁₇×#125	C₂³	1	1	yes	characteristic
276	C₁₇×#125	C₂³	1	1	yes	characteristic
277	C₁₇×#124	—	2	1	no	—
278	C₁₇×#124	—	2	1	no	—
279	C₁₇×#124	D₄	1	1	yes	characteristic
280	C₁₇×#124	C₂³	1	1	yes	characteristic
281	C₁₇×#124	C₂³	1	1	yes	characteristic
282	C₁₇×#123	—	2	1	no	—
283	C₁₇×#123	—	2	1	no	—
284	C₁₇×#123	—	2	1	no	—
285	C₁₇×#123	—	2	1	no	—
286	C₁₇×#123	—	2	1	no	—
287	C₁₇×#123	—	2	1	no	—
288	C₁₇×#123	—	2	1	no	—
289	C₁₇×#123	—	2	1	no	—
290	C₁₇×#123	—	2	1	no	—
291	C₁₇×#123	—	2	1	no	—
292	C₁₇×#123	—	2	1	no	—
293	C₁₇×#123	—	2	1	no	—
294	C₁₇×#123	—	2	1	no	—
295	C₁₇×#123	—	2	1	no	—
296	C₁₇×#123	—	2	1	no	—
297	C₁₇×#123	—	2	1	no	—
298	C₁₇×#123	D₄	1	1	yes	characteristic
299	C₁₇×#123	D₄	1	1	yes	characteristic
300	C₁₇×C₂²⋊Q₈	—	2	1	no	—
301	C₁₇×C₂²⋊Q₈	—	2	1	no	—
302	C₁₇×C₂²⋊Q₈	—	2	1	no	—
303	C₁₇×C₂²⋊Q₈	—	2	1	no	—
304	C₁₇×C₂²⋊Q₈	—	2	1	no	—
305	C₁₇×C₂²⋊Q₈	—	2	1	no	—
306	C₁₇×C₂²⋊Q₈	—	2	1	no	—
307	C₁₇×C₂²⋊Q₈	—	2	1	no	—
308	C₁₇×C₂²⋊Q₈	—	2	1	no	—
309	C₁₇×C₂²⋊Q₈	—	2	1	no	—
310	C₁₇×C₂²⋊Q₈	—	2	1	no	—
311	C₁₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
312	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
314	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
315	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
318	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
319	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
320	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₁₇×#121	—	2	1	no	—
323	C₁₇×#121	—	2	1	no	—
324	C₁₇×#121	—	2	1	no	—
325	C₁₇×#121	—	2	1	no	—
326	C₁₇×#121	—	2	1	no	—
327	C₁₇×#121	—	2	1	no	—
328	C₁₇×#121	—	2	1	no	—
329	C₁₇×#121	D₄	1	1	yes	characteristic
330	C₁₇×#121	C₂³	1	1	yes	characteristic
331	C₁₇×#121	C₂³	1	1	yes	characteristic
332	C₁₇×#120	—	2	1	no	—
333	C₁₇×#120	—	2	1	no	—
334	C₄×Q₈×C₁₇	—	2	1	no	—
335	C₄×Q₈×C₁₇	—	2	1	no	—
336	C₄×Q₈×C₁₇	—	2	1	no	—
337	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
339	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
348	C₄×D₄×C₁₇	—	2	1	no	—
349	C₄×D₄×C₁₇	—	2	1	no	—
350	C₄×D₄×C₁₇	—	2	1	no	—
351	C₄×D₄×C₁₇	—	2	1	no	—
352	C₄×D₄×C₁₇	—	2	1	no	—
353	C₄×D₄×C₁₇	—	2	1	no	—
354	C₄×D₄×C₁₇	—	2	1	no	—
355	C₄×D₄×C₁₇	—	2	1	no	—
356	C₄×D₄×C₁₇	—	2	1	no	—
357	C₄×D₄×C₁₇	—	2	1	no	—
358	C₄×D₄×C₁₇	—	2	1	no	—
359	C₄×D₄×C₁₇	—	2	1	no	—
360	C₄×D₄×C₁₇	—	2	1	no	—
361	C₄×D₄×C₁₇	—	2	1	no	—
362	C₄×D₄×C₁₇	—	2	1	no	—
363	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
376	C₁₇×#117	—	2	1	no	—
377	C₁₇×#117	—	2	1	no	—
378	C₁₇×#117	—	2	1	no	—
379	C₁₇×#117	—	2	1	no	—
380	C₁₇×#117	—	2	1	no	—
381	C₁₇×#117	—	2	1	no	—
382	C₁₇×#117	—	2	1	no	—
383	C₁₇×#117	—	2	1	no	—
384	C₁₇×#117	—	2	1	no	—
385	C₁₇×#117	—	2	1	no	—
386	C₁₇×#117	—	2	1	no	—
387	C₁₇×#117	C₂³	1	1	yes	characteristic
388	C₁₇×#117	C₂³	1	1	yes	characteristic
389	C₁₇×#117	C₂³	1	1	yes	characteristic
390	C₁₇×#117	C₂³	1	1	yes	characteristic
391	C₁₇×#117	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
393	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
394	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
395	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
396	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
397	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
398	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
399	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
400	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
401	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
408	C₂×C₄²×C₁₇	—	2	1	no	—
409	C₂×C₄²×C₁₇	—	2	1	no	—
410	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
411	C₁₇×#107	C₂³	1	1	yes	characteristic
412	C₁₇×#107	C₂³	1	1	yes	characteristic
413	C₁₇×#107	C₂³	1	1	yes	characteristic
414	C₁₇×#107	C₂³	1	1	yes	characteristic
415	C₁₇×#107	C₂³	1	1	yes	characteristic
416	C₁₇×#107	C₂³	1	1	yes	characteristic
417	C₁₇×#107	C₂³	1	1	yes	characteristic
418	C₁₇×#107	C₂³	1	1	yes	characteristic
419	C₁₇×#106	C₂³	1	1	yes	characteristic
420	C₁₇×#106	C₂³	1	1	yes	characteristic
421	C₁₇×#106	C₂³	1	1	yes	characteristic
422	C₁₇×#106	C₂³	1	1	yes	characteristic
423	C₁₇×#106	C₂³	1	1	yes	characteristic
424	C₁₇×#106	C₂³	1	1	yes	characteristic
425	C₁₇×#106	C₂³	1	1	yes	characteristic
426	C₁₇×#106	C₂³	1	1	yes	characteristic
427	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₇×#103	C₂³	1	1	yes	characteristic
434	C₁₇×#103	C₂³	1	1	yes	characteristic
435	C₁₇×#103	C₂³	1	1	yes	characteristic
436	C₁₇×#103	C₂³	1	1	yes	characteristic
437	C₁₇×#103	C₂³	1	1	yes	characteristic
438	C₁₇×#103	C₂³	1	1	yes	characteristic
439	C₁₇×#103	C₂³	1	1	yes	characteristic
440	C₁₇×#103	C₂³	1	1	yes	characteristic
441	C₁₇×#103	C₂³	1	1	yes	characteristic
442	C₁₇×#103	C₂³	1	1	yes	characteristic
443	C₁₇×#103	C₂³	1	1	yes	characteristic
444	C₁₇×#103	C₂³	1	1	yes	characteristic
445	C₁₇×#103	C₂³	1	1	yes	characteristic
446	C₁₇×#103	C₂³	1	1	yes	characteristic
447	C₁₇×#103	C₂³	1	1	yes	characteristic
448	C₁₇×#103	C₂³	1	1	yes	characteristic
449	C₁₇×#103	C₂³	1	1	yes	characteristic
450	C₁₇×#103	C₂³	1	1	yes	characteristic
451	C₁₇×#103	C₂³	1	1	yes	characteristic
452	C₁₇×#103	C₂³	1	1	yes	characteristic
453	C₁₇×#102	C₂³	1	1	yes	characteristic
454	C₁₇×#102	C₂³	1	1	yes	characteristic
455	C₁₇×#102	C₂³	1	1	yes	characteristic
456	C₁₇×#102	C₂³	1	1	yes	characteristic
457	C₁₇×#102	C₂³	1	1	yes	characteristic
458	C₁₇×#102	C₂³	1	1	yes	characteristic
459	C₁₇×#102	C₂³	1	1	yes	characteristic
460	C₁₇×#102	C₂³	1	1	yes	characteristic
461	C₁₇×#102	C₂³	1	1	yes	characteristic
462	C₁₇×#102	C₂³	1	1	yes	characteristic
463	C₁₇×#102	C₂³	1	1	yes	characteristic
464	C₁₇×#102	C₂³	1	1	yes	characteristic
465	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₇×#97	C₂³	1	1	yes	characteristic
472	C₁₇×#97	C₂³	1	1	yes	characteristic
473	C₁₇×#97	C₂³	1	1	yes	characteristic
474	C₁₇×#97	C₂³	1	1	yes	characteristic
475	C₁₇×#97	C₂³	1	1	yes	characteristic
476	C₁₇×#97	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
481	C₂⁴×C₁₇	—	2	1	no	—
482	#41×C₁₇	—	2	2	no	—
483	#41×C₁₇	—	2	2	no	—
484	#41×C₁₇	—	2	2	no	—
485	#41×C₁₇	—	2	2	no	—
486	#41×C₁₇	—	2	2	no	—
487	#41×C₁₇	—	4	1	no	—
488	#41×C₁₇	—	4	1	no	—
489	#41×C₁₇	—	4	1	no	—
490	#41×C₁₇	—	4	1	no	—
491	#41×C₁₇	—	4	1	no	—
492	C₂×Q₈×C₁₇	—	2	1	no	—
493	C₂×Q₈×C₁₇	—	2	1	no	—
494	C₂×Q₈×C₁₇	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₇	—	2	2	no	—
501	C₂×D₄×C₁₇	—	2	1	no	—
502	C₂×D₄×C₁₇	—	2	1	no	—
503	C₂×D₄×C₁₇	—	2	1	no	—
504	C₂×D₄×C₁₇	—	2	1	no	—
505	C₂×D₄×C₁₇	—	2	1	no	—
506	C₂×D₄×C₁₇	—	2	1	no	—
507	C₂×D₄×C₁₇	—	2	1	no	—
508	C₂×D₄×C₁₇	—	2	1	no	—
509	C₂×D₄×C₁₇	—	4	1	no	—
510	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₇	—	2	1	no	—
517	C₂²×C₄×C₁₇	—	2	1	no	—
518	C₂²×C₄×C₁₇	—	2	1	no	—
519	C₂²×C₄×C₁₇	—	2	1	no	—
520	C₂²×C₄×C₁₇	—	2	1	no	—
521	C₂²×C₄×C₁₇	—	2	1	no	—
522	C₂²×C₄×C₁₇	—	2	1	no	—
523	C₂²×C₄×C₁₇	—	2	1	no	—
524	C₂²×C₄×C₁₇	—	2	1	no	—
525	C₂²×C₄×C₁₇	—	2	1	no	—
526	C₂²×C₄×C₁₇	—	2	1	no	—
527	C₂²×C₄×C₁₇	—	2	1	no	—
528	C₂²×C₄×C₁₇	—	2	1	no	—
529	C₂²×C₄×C₁₇	—	2	1	no	—
530	C₂²×C₄×C₁₇	—	2	1	no	—
531	C₂²×C₄×C₁₇	—	2	1	no	—
532	C₂²×C₄×C₁₇	—	2	1	no	—
533	C₂²×C₄×C₁₇	—	2	1	no	—
534	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
535	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
539	Q₁₆×C₁₇	—	2	2	no	—
540	Q₁₆×C₁₇	—	2	2	no	—
541	Q₁₆×C₁₇	—	4	1	no	—
542	Q₁₆×C₁₇	—	4	1	no	—
543	Q₁₆×C₁₇	—	4	1	no	—
544	Q₁₆×C₁₇	—	4	1	no	—
545	SD₁₆×C₁₇	—	2	2	no	—
546	SD₁₆×C₁₇	—	2	2	no	—
547	SD₁₆×C₁₇	—	2	2	no	—
548	SD₁₆×C₁₇	—	2	2	no	—
549	SD₁₆×C₁₇	—	2	2	no	—
550	SD₁₆×C₁₇	—	2	2	no	—
551	SD₁₆×C₁₇	—	4	1	no	—
552	SD₁₆×C₁₇	—	4	1	no	—
553	D₈×C₁₇	—	2	2	no	—
554	D₈×C₁₇	#41	1	4	yes	—
555	M₁₆×C₁₇	—	2	2	no	—
556	M₁₆×C₁₇	—	4	1	no	—
557	C₂×C₈×C₁₇	—	2	2	no	—
558	C₂×C₈×C₁₇	—	2	2	no	—
559	C₂×C₈×C₁₇	—	4	1	no	—
560	C₂×C₈×C₁₇	—	4	1	no	—
561	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
569	C₄⋊C₄×C₁₇	—	2	1	no	—
570	C₄⋊C₄×C₁₇	—	2	1	no	—
571	C₄⋊C₄×C₁₇	—	2	1	no	—
572	C₄⋊C₄×C₁₇	—	2	1	no	—
573	C₄⋊C₄×C₁₇	—	2	1	no	—
574	C₄⋊C₄×C₁₇	—	2	1	no	—
575	C₄⋊C₄×C₁₇	—	2	1	no	—
576	C₄⋊C₄×C₁₇	—	2	1	no	—
577	C₄⋊C₄×C₁₇	—	2	1	no	—
578	C₄⋊C₄×C₁₇	—	2	1	no	—
579	C₄⋊C₄×C₁₇	—	2	1	no	—
580	C₄⋊C₄×C₁₇	—	2	1	no	—
581	C₄⋊C₄×C₁₇	—	2	1	no	—
582	C₄⋊C₄×C₁₇	—	2	1	no	—
583	C₄⋊C₄×C₁₇	—	2	1	no	—
584	C₄⋊C₄×C₁₇	—	2	1	no	—
585	C₄⋊C₄×C₁₇	—	2	1	no	—
586	C₄⋊C₄×C₁₇	—	2	1	no	—
587	C₄⋊C₄×C₁₇	—	2	1	no	—
588	C₄⋊C₄×C₁₇	—	2	1	no	—
589	C₄⋊C₄×C₁₇	—	2	1	no	—
590	C₄⋊C₄×C₁₇	—	2	1	no	—
591	C₄⋊C₄×C₁₇	—	2	1	no	—
592	C₄⋊C₄×C₁₇	—	2	1	no	—
593	C₄⋊C₄×C₁₇	—	2	1	no	—
594	C₄⋊C₄×C₁₇	—	2	1	no	—
595	C₄⋊C₄×C₁₇	—	2	1	no	—
596	C₄⋊C₄×C₁₇	—	2	1	no	—
597	C₄⋊C₄×C₁₇	—	2	1	no	—
598	C₄⋊C₄×C₁₇	—	2	1	no	—
599	C₄⋊C₄×C₁₇	—	2	1	no	—
600	C₄⋊C₄×C₁₇	—	2	1	no	—
601	C₄⋊C₄×C₁₇	—	2	1	no	—
602	C₄⋊C₄×C₁₇	—	2	1	no	—
603	C₄⋊C₄×C₁₇	—	2	1	no	—
604	C₄⋊C₄×C₁₇	—	2	1	no	—
605	C₄⋊C₄×C₁₇	—	2	1	no	—
606	C₄⋊C₄×C₁₇	—	2	1	no	—
607	C₄⋊C₄×C₁₇	—	2	1	no	—
608	C₄⋊C₄×C₁₇	—	2	1	no	—
609	C₄⋊C₄×C₁₇	—	2	1	no	—
610	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
628	C₂²⋊C₄×C₁₇	—	2	1	no	—
629	C₂²⋊C₄×C₁₇	—	2	1	no	—
630	C₂²⋊C₄×C₁₇	—	2	1	no	—
631	C₂²⋊C₄×C₁₇	—	2	1	no	—
632	C₂²⋊C₄×C₁₇	—	2	1	no	—
633	C₂²⋊C₄×C₁₇	—	2	1	no	—
634	C₂²⋊C₄×C₁₇	—	2	1	no	—
635	C₂²⋊C₄×C₁₇	—	2	1	no	—
636	C₂²⋊C₄×C₁₇	—	2	1	no	—
637	C₂²⋊C₄×C₁₇	—	2	1	no	—
638	C₂²⋊C₄×C₁₇	—	2	1	no	—
639	C₂²⋊C₄×C₁₇	—	2	1	no	—
640	C₂²⋊C₄×C₁₇	—	2	1	no	—
641	C₂²⋊C₄×C₁₇	—	2	1	no	—
642	C₂²⋊C₄×C₁₇	—	2	1	no	—
643	C₂²⋊C₄×C₁₇	—	2	1	no	—
644	C₂²⋊C₄×C₁₇	—	2	1	no	—
645	C₂²⋊C₄×C₁₇	—	2	1	no	—
646	C₂²⋊C₄×C₁₇	—	2	1	no	—
647	C₂²⋊C₄×C₁₇	—	2	1	no	—
648	C₂²⋊C₄×C₁₇	—	2	1	no	—
649	C₂²⋊C₄×C₁₇	—	2	1	no	—
650	C₂²⋊C₄×C₁₇	—	2	1	no	—
651	C₂²⋊C₄×C₁₇	—	2	1	no	—
652	C₂²⋊C₄×C₁₇	—	2	1	no	—
653	C₂²⋊C₄×C₁₇	—	2	1	no	—
654	C₂²⋊C₄×C₁₇	—	2	1	no	—
655	C₂²⋊C₄×C₁₇	—	2	1	no	—
656	C₂²⋊C₄×C₁₇	—	2	1	no	—
657	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₁₇	—	2	1	no	—
668	C₄²×C₁₇	—	2	1	no	—
669	C₄²×C₁₇	—	2	1	no	—
670	C₄²×C₁₇	—	2	1	no	—
671	C₄²×C₁₇	—	2	1	no	—
672	C₄²×C₁₇	—	2	1	no	—
673	C₄²×C₁₇	—	2	1	no	—
674	C₄²×C₁₇	—	2	1	no	—
675	C₄²×C₁₇	—	2	1	no	—
676	C₄²×C₁₇	—	2	1	no	—
677	C₄²×C₁₇	—	2	1	no	—
678	C₄²×C₁₇	—	2	1	no	—
679	C₄²×C₁₇	—	2	1	no	—
680	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
682	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
683	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
684	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
685	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
686	#61532	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
687	C₂³×C₁₇	—	2	1	no	—
688	C₂³×C₁₇	—	2	1	no	—
689	C₂³×C₁₇	—	2	1	no	—
690	C₂³×C₁₇	—	4	2	no	—
691	C₂³×C₁₇	—	8	1	no	—
692	C₂³×C₁₇	—	8	1	no	—
693	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
694	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
695	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
696	Q₈×C₁₇	—	2	1	no	—
697	Q₈×C₁₇	—	2	1	no	—
698	Q₈×C₁₇	—	2	1	no	—
699	Q₈×C₁₇	—	2	1	no	—
700	Q₈×C₁₇	—	2	1	no	—
701	Q₈×C₁₇	—	2	1	no	—
702	Q₈×C₁₇	—	2	1	no	—
703	Q₈×C₁₇	—	2	1	no	—
704	Q₈×C₁₇	—	2	1	no	—
705	Q₈×C₁₇	—	2	1	no	—
706	Q₈×C₁₇	—	4	1	no	—
707	Q₈×C₁₇	—	8	1	no	—
708	Q₈×C₁₇	—	8	1	no	—
709	D₄×C₁₇	—	2	1	no	—
710	D₄×C₁₇	—	2	1	no	—
711	D₄×C₁₇	—	2	1	no	—
712	D₄×C₁₇	—	2	1	no	—
713	D₄×C₁₇	—	4	1	no	—
714	D₄×C₁₇	—	4	1	no	—
715	D₄×C₁₇	—	4	1	no	—
716	D₄×C₁₇	—	4	2	no	—
717	D₄×C₁₇	—	4	2	no	—
718	D₄×C₁₇	—	4	2	no	—
719	D₄×C₁₇	—	4	2	no	—
720	D₄×C₁₇	—	4	2	no	—
721	D₄×C₁₇	—	4	2	no	—
722	D₄×C₁₇	—	8	1	no	—
723	D₄×C₁₇	—	8	1	no	—
724	D₄×C₁₇	C₂×#41	1	2	yes	—
725	D₄×C₁₇	C₂×#41	1	2	yes	—
726	C₂×C₄×C₁₇	—	2	1	no	—
727	C₂×C₄×C₁₇	—	2	1	no	—
728	C₂×C₄×C₁₇	—	2	1	no	—
729	C₂×C₄×C₁₇	—	2	1	no	—
730	C₂×C₄×C₁₇	—	2	1	no	—
731	C₂×C₄×C₁₇	—	2	1	no	—
732	C₂×C₄×C₁₇	—	2	1	no	—
733	C₂×C₄×C₁₇	—	2	1	no	—
734	C₂×C₄×C₁₇	—	2	1	no	—
735	C₂×C₄×C₁₇	—	2	1	no	—
736	C₂×C₄×C₁₇	—	2	1	no	—
737	C₂×C₄×C₁₇	—	2	1	no	—
738	C₂×C₄×C₁₇	—	2	1	no	—
739	C₂×C₄×C₁₇	—	2	1	no	—
740	C₂×C₄×C₁₇	—	2	1	no	—
741	C₂×C₄×C₁₇	—	2	1	no	—
742	C₂×C₄×C₁₇	—	2	1	no	—
743	C₂×C₄×C₁₇	—	2	1	no	—
744	C₂×C₄×C₁₇	—	2	1	no	—
745	C₂×C₄×C₁₇	—	4	1	no	—
746	C₂×C₄×C₁₇	—	4	1	no	—
747	C₂×C₄×C₁₇	—	4	2	no	—
748	C₂×C₄×C₁₇	—	4	2	no	—
749	C₂×C₄×C₁₇	—	4	2	no	—
750	C₂×C₄×C₁₇	—	4	2	no	—
751	C₂×C₄×C₁₇	—	4	2	no	—
752	C₂×C₄×C₁₇	—	4	2	no	—
753	C₂×C₄×C₁₇	—	8	1	no	—
754	C₂×C₄×C₁₇	—	8	1	no	—
755	C₂×C₄×C₁₇	—	8	1	no	—
756	C₂×C₄×C₁₇	—	8	1	no	—
757	C₂×C₄×C₁₇	—	8	1	no	—
758	C₂×C₄×C₁₇	—	8	1	no	—
759	C₂×C₄×C₁₇	—	8	1	no	—
760	C₂×C₄×C₁₇	—	8	1	no	—
761	C₂×C₄×C₁₇	—	8	1	no	—
762	C₂×C₄×C₁₇	—	8	1	no	—
763	C₂×C₄×C₁₇	—	8	1	no	—
764	C₂×C₄×C₁₇	—	8	1	no	—
765	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
777	C₈×C₁₇	—	2	1	no	—
778	C₈×C₁₇	—	2	1	no	—
779	C₈×C₁₇	—	2	1	no	—
780	C₈×C₁₇	—	2	1	no	—
781	C₈×C₁₇	—	2	1	no	—
782	C₈×C₁₇	—	2	1	no	—
783	C₈×C₁₇	—	2	1	no	—
784	C₈×C₁₇	C₂×#41	1	2	yes	—
785	#3521	C₂×C₁₇	1	1	yes	characteristic, complemented
786	#3515	C₂×C₁₇	1	1	yes	characteristic, complemented
787	#3398	C₂×C₁₇	1	1	yes	characteristic, complemented
788	#3389	C₂×C₁₇	1	1	yes	characteristic, complemented
789	#3376	C₂×C₁₇	1	1	yes	characteristic, complemented
790	#3372	C₂×C₁₇	1	1	yes	characteristic, complemented
791	#3349	C₂×C₁₇	1	1	yes	characteristic, complemented
792	#3344	C₂×C₁₇	1	1	yes	characteristic, complemented
793	#3337	C₂×C₁₇	1	1	yes	characteristic, complemented
794	#3315	C₂×C₁₇	1	1	yes	characteristic, complemented
795	#3315	C₂×C₁₇	1	1	yes	characteristic, complemented
796	#3314	C₂×C₁₇	1	1	yes	characteristic, complemented
797	#3307	C₂×C₁₇	1	1	yes	characteristic, complemented
798	#3302	C₂×C₁₇	1	1	yes	characteristic, complemented
799	#3296	C₂×C₁₇	1	1	yes	characteristic, complemented
800	#3283	C₂×C₁₇	1	1	yes	characteristic, complemented
801	#3267	C₂×C₁₇	1	1	yes	characteristic, complemented
802	#3267	C₂×C₁₇	1	1	yes	characteristic, complemented
803	#3181	C₂×C₁₇	1	1	yes	characteristic, complemented
804	#3178	C₂×C₁₇	1	1	yes	characteristic, complemented
805	#3177	C₂×C₁₇	1	1	yes	characteristic, complemented
806	#3124	C₂×C₁₇	1	1	yes	characteristic, complemented
807	#3123	C₂×C₁₇	1	1	yes	characteristic, complemented
808	#3120	C₂×C₁₇	1	1	yes	characteristic, complemented
809	#3120	C₂×C₁₇	1	1	yes	characteristic, complemented
810	#3107	C₂×C₁₇	1	1	yes	characteristic, complemented
811	#3102	C₂×C₁₇	1	1	yes	characteristic, complemented
812	#2968	C₂×C₁₇	1	1	yes	characteristic, complemented
813	#2952	C₂×C₁₇	1	1	yes	characteristic, complemented
814	#2946	C₂×C₁₇	1	1	yes	characteristic, complemented
815	#2943	C₂×C₁₇	1	1	yes	characteristic, complemented
816	C₂²×C₁₇	—	2	1	no	—
817	C₂²×C₁₇	—	2	1	no	—
818	C₂²×C₁₇	—	2	1	no	—
819	C₂²×C₁₇	—	2	1	no	—
820	C₂²×C₁₇	—	2	1	no	—
821	C₂²×C₁₇	—	2	1	no	—
822	C₂²×C₁₇	—	2	1	no	—
823	C₂²×C₁₇	—	2	1	no	—
824	C₂²×C₁₇	—	2	1	no	—
825	C₂²×C₁₇	—	2	2	no	—
826	C₂²×C₁₇	—	2	2	no	—
827	C₂²×C₁₇	—	4	1	no	—
828	C₂²×C₁₇	—	4	1	no	—
829	C₂²×C₁₇	—	4	1	no	—
830	C₂²×C₁₇	—	4	1	no	—
831	C₂²×C₁₇	—	4	1	no	—
832	C₂²×C₁₇	—	4	1	no	—
833	C₂²×C₁₇	—	4	1	no	—
834	C₂²×C₁₇	—	16	2	no	—
835	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
836	C₄×C₁₇	—	2	1	no	—
837	C₄×C₁₇	—	2	1	no	—
838	C₄×C₁₇	—	2	1	no	—
839	C₄×C₁₇	—	2	1	no	—
840	C₄×C₁₇	—	2	1	no	—
841	C₄×C₁₇	—	2	1	no	—
842	C₄×C₁₇	—	2	1	no	—
843	C₄×C₁₇	—	2	1	no	—
844	C₄×C₁₇	—	2	1	no	—
845	C₄×C₁₇	—	2	1	no	—
846	C₄×C₁₇	—	2	1	no	—
847	C₄×C₁₇	—	4	1	no	—
848	C₄×C₁₇	—	4	1	no	—
849	C₄×C₁₇	—	4	1	no	—
850	C₄×C₁₇	—	4	1	no	—
851	C₄×C₁₇	—	4	1	no	—
852	C₄×C₁₇	—	4	1	no	—
853	C₄×C₁₇	—	4	1	no	—
854	C₄×C₁₇	—	4	1	no	—
855	C₄×C₁₇	—	4	1	no	—
856	C₄×C₁₇	—	4	1	no	—
857	C₄×C₁₇	—	4	1	no	—
858	C₄×C₁₇	—	4	1	no	—
859	C₄×C₁₇	—	4	1	no	—
860	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
861	C₄×C₁₇	#585	1	1	yes	characteristic
862	C₂×AGL(1,ℤ/8)	C₂²×C₁₇	1	1	yes	characteristic
863	C₂×#135	C₂²×C₁₇	1	1	yes	characteristic
864	C₂×#135	C₂²×C₁₇	1	1	yes	characteristic
865	#557	C₂²×C₁₇	1	1	yes	characteristic, complemented
866	#556	C₂²×C₁₇	1	1	yes	characteristic
867	#556	C₂²×C₁₇	1	1	yes	characteristic
868	#554	C₂²×C₁₇	1	1	yes	characteristic
869	#554	C₂²×C₁₇	1	1	yes	characteristic
870	#554	C₂²×C₁₇	1	1	yes	characteristic, complemented
871	#553	—	2	1	no	—
872	#553	—	2	1	no	—
873	#553	C₂²×C₁₇	1	1	yes	characteristic
874	#552	—	2	1	no	—
875	#552	—	2	1	no	—
876	#552	—	2	1	no	—
877	#552	—	2	1	no	—
878	#552	C₂²×C₁₇	1	1	yes	characteristic
879	#552	C₂²×C₁₇	1	1	yes	characteristic
880	#552	C₂²×C₁₇	1	1	yes	characteristic, complemented
881	#551	—	2	1	no	—
882	#551	—	2	1	no	—
883	#547	C₂²×C₁₇	1	1	yes	characteristic
884	#547	C₂²×C₁₇	1	1	yes	characteristic
885	#547	C₂²×C₁₇	1	1	yes	characteristic
886	#547	C₂²×C₁₇	1	1	yes	characteristic, complemented
887	#546	C₂²×C₁₇	1	1	yes	characteristic
888	#546	C₂²×C₁₇	1	1	yes	characteristic
889	#542	C₂²×C₁₇	1	1	yes	characteristic
890	#541	C₂²×C₁₇	1	1	yes	characteristic
891	#541	C₂²×C₁₇	1	1	yes	characteristic
892	#541	C₂²×C₁₇	1	1	yes	characteristic, complemented
893	#539	—	2	1	no	—
894	#539	—	2	1	no	—
895	#539	—	2	1	no	—
896	#538	—	2	1	no	—
897	#533	C₂²×C₁₇	1	1	yes	characteristic, complemented
898	#529	—	2	1	no	—
899	#529	—	2	1	no	—
900	#529	C₂²×C₁₇	1	1	yes	characteristic
901	#529	C₂²×C₁₇	1	1	yes	characteristic
902	C₂×#126	—	2	1	no	—
903	C₂×#125	—	2	1	no	—
904	#520	C₂²×C₁₇	1	1	yes	characteristic
905	#520	C₂²×C₁₇	1	1	yes	characteristic
906	#520	C₂²×C₁₇	1	1	yes	characteristic, complemented
907	#518	C₂²×C₁₇	1	1	yes	characteristic
908	C₄×#41	C₂²×C₁₇	1	1	yes	characteristic
909	C₄×#41	C₂²×C₁₇	1	1	yes	characteristic, complemented
910	#501	C₂²×C₁₇	1	1	yes	characteristic, complemented
911	#501	C₂²×C₁₇	1	1	yes	characteristic, complemented
912	#499	C₂²×C₁₇	1	1	yes	characteristic, complemented
913	#497	C₂²×C₁₇	1	1	yes	characteristic
914	#497	C₂²×C₁₇	1	1	yes	characteristic
915	#494	C₂²×C₁₇	1	1	yes	characteristic, complemented
916	#491	C₂²×C₁₇	1	1	yes	characteristic, complemented
917	#491	C₂²×C₁₇	1	1	yes	characteristic, complemented
918	#491	C₂²×C₁₇	1	1	yes	characteristic, complemented
919	#489	C₂²×C₁₇	1	1	yes	characteristic
920	#488	C₂²×C₁₇	1	1	yes	characteristic
921	#487	C₂²×C₁₇	1	1	yes	characteristic, complemented
922	#485	C₂²×C₁₇	1	1	yes	characteristic
923	#485	C₂²×C₁₇	1	1	yes	characteristic
924	#485	C₂²×C₁₇	1	1	yes	characteristic, complemented
925	#485	C₂²×C₁₇	1	1	yes	characteristic, complemented
926	#485	C₂²×C₁₇	1	1	yes	characteristic, complemented
927	#484	C₂²×C₁₇	1	1	yes	characteristic
928	#484	C₂²×C₁₇	1	1	yes	characteristic, complemented
929	#484	C₂²×C₁₇	1	1	yes	characteristic, complemented
930	#483	C₂²×C₁₇	1	1	yes	characteristic
931	#483	C₂²×C₁₇	1	1	yes	characteristic, complemented
932	#482	C₂²×C₁₇	1	1	yes	characteristic
933	#480	C₂²×C₁₇	1	1	yes	characteristic
934	#479	C₂²×C₁₇	1	1	yes	characteristic, complemented
935	#479	C₂²×C₁₇	1	1	yes	characteristic, complemented
936	#479	C₂²×C₁₇	1	1	yes	characteristic, complemented
937	#478	C₂²×C₁₇	1	1	yes	characteristic
938	#478	C₂²×C₁₇	1	1	yes	characteristic
939	#478	C₂²×C₁₇	1	1	yes	characteristic
940	#478	C₂²×C₁₇	1	1	yes	characteristic, complemented
941	#478	C₂²×C₁₇	1	1	yes	characteristic, complemented
942	#477	C₂²×C₁₇	1	1	yes	characteristic, complemented
943	#475	C₂²×C₁₇	1	1	yes	characteristic, complemented
944	#474	C₂²×C₁₇	1	1	yes	characteristic
945	#474	C₂²×C₁₇	1	1	yes	characteristic, complemented
946	#470	C₂²×C₁₇	1	1	yes	characteristic
947	#470	C₂²×C₁₇	1	1	yes	characteristic
948	#470	C₂²×C₁₇	1	1	yes	characteristic, complemented
949	#468	C₂²×C₁₇	1	1	yes	characteristic
950	#467	C₂²×C₁₇	1	1	yes	characteristic
951	#467	C₂²×C₁₇	1	1	yes	characteristic
952	#467	C₂²×C₁₇	1	1	yes	characteristic, complemented
953	#467	C₂²×C₁₇	1	1	yes	characteristic, complemented
954	#467	C₂²×C₁₇	1	1	yes	characteristic, complemented
955	#465	C₂²×C₁₇	1	1	yes	characteristic
956	#465	C₂²×C₁₇	1	1	yes	characteristic
957	#465	C₂²×C₁₇	1	1	yes	characteristic
958	#464	C₂²×C₁₇	1	1	yes	characteristic
959	#464	C₂²×C₁₇	1	1	yes	characteristic
960	#463	C₂²×C₁₇	1	1	yes	characteristic
961	#463	C₂²×C₁₇	1	1	yes	characteristic
962	#462	C₂²×C₁₇	1	1	yes	characteristic, complemented
963	#462	C₂²×C₁₇	1	1	yes	characteristic, complemented
964	#462	C₂²×C₁₇	1	1	yes	characteristic, complemented
965	#461	C₂²×C₁₇	1	1	yes	characteristic
966	#461	C₂²×C₁₇	1	1	yes	characteristic
967	#461	C₂²×C₁₇	1	1	yes	characteristic
968	#461	C₂²×C₁₇	1	1	yes	characteristic
969	#461	C₂²×C₁₇	1	1	yes	characteristic, complemented
970	#452	C₂²×C₁₇	1	1	yes	characteristic
971	#452	C₂²×C₁₇	1	1	yes	characteristic
972	#452	C₂²×C₁₇	1	1	yes	characteristic
973	#452	C₂²×C₁₇	1	1	yes	characteristic
974	#452	C₂²×C₁₇	1	1	yes	characteristic
975	#452	C₂²×C₁₇	1	1	yes	characteristic
976	#452	C₂²×C₁₇	1	1	yes	characteristic, complemented
977	#452	C₂²×C₁₇	1	1	yes	characteristic, complemented
978	#450	C₂²×C₁₇	1	1	yes	characteristic
979	#450	C₂²×C₁₇	1	1	yes	characteristic
980	#449	C₂²×C₁₇	1	1	yes	characteristic
981	#449	C₂²×C₁₇	1	1	yes	characteristic
982	#446	C₂²×C₁₇	1	1	yes	characteristic, complemented
983	#446	C₂²×C₁₇	1	1	yes	characteristic, complemented
984	#442	C₂²×C₁₇	1	1	yes	characteristic
985	#442	C₂²×C₁₇	1	1	yes	characteristic
986	#442	C₂²×C₁₇	1	1	yes	characteristic
987	#442	C₂²×C₁₇	1	1	yes	characteristic
988	#441	C₂²×C₁₇	1	1	yes	characteristic, complemented
989	#441	C₂²×C₁₇	1	1	yes	characteristic, complemented
990	#441	C₂²×C₁₇	1	1	yes	characteristic, complemented
991	#441	C₂²×C₁₇	1	1	yes	characteristic, complemented
992	#441	C₂²×C₁₇	1	1	yes	characteristic, complemented
993	#440	C₂²×C₁₇	1	1	yes	characteristic
994	#440	C₂²×C₁₇	1	1	yes	characteristic
995	#440	C₂²×C₁₇	1	1	yes	characteristic
996	#440	C₂²×C₁₇	1	1	yes	characteristic
997	#440	C₂²×C₁₇	1	1	yes	characteristic
998	#440	C₂²×C₁₇	1	1	yes	characteristic, complemented
999	#440	C₂²×C₁₇	1	1	yes	characteristic, complemented
1000	C₄×Q₁₆	C₂²×C₁₇	1	1	yes	characteristic, complemented
1001	C₄×Q₁₆	C₂²×C₁₇	1	1	yes	characteristic, complemented
1002	C₄×Q₁₆	C₂²×C₁₇	1	1	yes	characteristic, complemented
1003	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
1004	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
1005	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
1006	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
1007	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
1008	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic, complemented
1009	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic, complemented
1010	C₄×D₈	C₂²×C₁₇	1	1	yes	characteristic
1011	C₄×D₈	C₂²×C₁₇	1	1	yes	characteristic
1012	#435	C₂²×C₁₇	1	1	yes	characteristic
1013	#435	C₂²×C₁₇	1	1	yes	characteristic
1014	#435	C₂²×C₁₇	1	1	yes	characteristic
1015	#435	C₂²×C₁₇	1	1	yes	characteristic, complemented
1016	C₈×D₄	C₂²×C₁₇	1	1	yes	characteristic
1017	C₈×D₄	C₂²×C₁₇	1	1	yes	characteristic, complemented
1018	#433	C₂²×C₁₇	1	1	yes	characteristic
1019	#433	C₂²×C₁₇	1	1	yes	characteristic, complemented
1020	#431	C₂²×C₁₇	1	1	yes	characteristic, complemented
1021	#428	C₂²×C₁₇	1	1	yes	characteristic
1022	#427	C₂²×C₁₇	1	1	yes	characteristic, complemented
1023	C₂×#106	C₂²×C₁₇	1	1	yes	characteristic, complemented
1024	#417	C₂²×C₁₇	1	1	yes	characteristic
1025	#417	C₂²×C₁₇	1	1	yes	characteristic, complemented
1026	#416	C₂²×C₁₇	1	1	yes	characteristic
1027	#416	C₂²×C₁₇	1	1	yes	characteristic
1028	#416	C₂²×C₁₇	1	1	yes	characteristic, complemented
1029	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
1030	#405	C₂²×C₁₇	1	1	yes	characteristic
1031	#405	C₂²×C₁₇	1	1	yes	characteristic, complemented
1032	C₂×#97	C₂²×C₁₇	1	1	yes	characteristic, complemented
1033	C₂×C₁₇	—	4	1	no	—
1034	C₂×C₁₇	—	4	1	no	—
1035	C₂×C₁₇	—	4	1	no	—
1036	C₂×C₁₇	—	4	2	no	—
1037	C₂×C₁₇	—	4	2	no	—
1038	C₂×C₁₇	—	8	1	no	—
1039	C₂×C₁₇	D₄×#41	1	1	yes	characteristic
1040	C₂×C₁₇	#3584	1	1	yes	characteristic
1041	C₂×C₁₇	#3586	1	1	yes	characteristic
1042	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
1043	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
1044	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
1045	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
1046	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
1047	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
1048	AGL(1,ℤ/8)	—	2	4	no	—
1049	#135	—	2	4	no	—
1050	#135	—	2	4	no	—
1051	C₂×Q₁₆	C₂³×C₁₇	1	1	yes	characteristic
1052	C₂×Q₁₆	C₂³×C₁₇	1	1	yes	characteristic
1053	C₂×Q₁₆	C₂³×C₁₇	1	1	yes	characteristic
1054	C₂×Q₁₆	C₂³×C₁₇	1	1	yes	characteristic
1055	C₂×Q₁₆	C₂³×C₁₇	1	1	yes	characteristic
1056	C₂×Q₁₆	C₂³×C₁₇	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1065	C₂×D₈	C₂³×C₁₇	1	1	yes	characteristic
1066	C₂×D₈	C₂³×C₁₇	1	1	yes	characteristic
1067	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
1069	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
1070	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
1071	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
1072	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
1073	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1074	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	D₄×C₁₇	1	1	yes	characteristic
1096	#126	D₄×C₁₇	1	1	yes	characteristic
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	D₄×C₁₇	1	1	yes	characteristic
1112	#125	C₂³×C₁₇	1	1	yes	characteristic
1113	#125	C₂³×C₁₇	1	1	yes	characteristic
1114	#125	C₂³×C₁₇	1	1	yes	characteristic
1115	#125	C₂³×C₁₇	1	1	yes	characteristic
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	D₄×C₁₇	1	1	yes	characteristic
1119	#124	C₂³×C₁₇	1	1	yes	characteristic
1120	#124	C₂³×C₁₇	1	1	yes	characteristic
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	D₄×C₁₇	1	1	yes	characteristic
1138	#123	D₄×C₁₇	1	1	yes	characteristic
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	D₄×C₁₇	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1154	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	D₄×C₁₇	1	1	yes	characteristic
1169	#121	C₂³×C₁₇	1	1	yes	characteristic
1170	#121	C₂³×C₁₇	1	1	yes	characteristic
1171	#120	—	2	1	no	—
1172	#120	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1203	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1212	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1213	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	C₂³×C₁₇	1	1	yes	characteristic
1227	#117	C₂³×C₁₇	1	1	yes	characteristic
1228	#117	C₂³×C₁₇	1	1	yes	characteristic
1229	#117	C₂³×C₁₇	1	1	yes	characteristic
1230	#117	C₂³×C₁₇	1	1	yes	characteristic
1231	C₂×C₄⋊C₄	—	2	1	no	—
1232	C₂×C₄⋊C₄	—	2	1	no	—
1233	C₂×C₄⋊C₄	—	2	1	no	—
1234	C₂×C₄⋊C₄	—	2	1	no	—
1235	C₂×C₄⋊C₄	—	2	1	no	—
1236	C₂×C₄⋊C₄	—	2	1	no	—
1237	C₂×C₄⋊C₄	—	2	1	no	—
1238	C₂×C₄⋊C₄	—	2	1	no	—
1239	C₂×C₄⋊C₄	—	2	1	no	—
1240	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1242	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1243	C₂×C₂²⋊C₄	—	2	1	no	—
1244	C₂×C₂²⋊C₄	—	2	1	no	—
1245	C₂×C₂²⋊C₄	—	2	1	no	—
1246	C₂×C₂²⋊C₄	—	2	1	no	—
1247	C₂×C₄²	—	2	1	no	—
1248	C₂×C₄²	—	2	1	no	—
1249	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1250	#107	C₂³×C₁₇	1	1	yes	characteristic
1251	#107	C₂³×C₁₇	1	1	yes	characteristic
1252	#107	C₂³×C₁₇	1	1	yes	characteristic
1253	#107	C₂³×C₁₇	1	1	yes	characteristic
1254	#107	C₂³×C₁₇	1	1	yes	characteristic
1255	#107	C₂³×C₁₇	1	1	yes	characteristic
1256	#107	C₂³×C₁₇	1	1	yes	characteristic
1257	#107	C₂³×C₁₇	1	1	yes	characteristic
1258	#106	C₂³×C₁₇	1	1	yes	characteristic
1259	#106	C₂³×C₁₇	1	1	yes	characteristic
1260	#106	C₂³×C₁₇	1	1	yes	characteristic
1261	#106	C₂³×C₁₇	1	1	yes	characteristic
1262	#106	C₂³×C₁₇	1	1	yes	characteristic
1263	#106	C₂³×C₁₇	1	1	yes	characteristic
1264	#106	C₂³×C₁₇	1	1	yes	characteristic
1265	#106	C₂³×C₁₇	1	1	yes	characteristic
1266	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1268	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1269	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1272	#103	C₂³×C₁₇	1	1	yes	characteristic
1273	#103	C₂³×C₁₇	1	1	yes	characteristic
1274	#103	C₂³×C₁₇	1	1	yes	characteristic
1275	#103	C₂³×C₁₇	1	1	yes	characteristic
1276	#103	C₂³×C₁₇	1	1	yes	characteristic
1277	#103	C₂³×C₁₇	1	1	yes	characteristic
1278	#103	C₂³×C₁₇	1	1	yes	characteristic
1279	#103	C₂³×C₁₇	1	1	yes	characteristic
1280	#103	C₂³×C₁₇	1	1	yes	characteristic
1281	#103	C₂³×C₁₇	1	1	yes	characteristic
1282	#103	C₂³×C₁₇	1	1	yes	characteristic
1283	#103	C₂³×C₁₇	1	1	yes	characteristic
1284	#103	C₂³×C₁₇	1	1	yes	characteristic
1285	#103	C₂³×C₁₇	1	1	yes	characteristic
1286	#103	C₂³×C₁₇	1	1	yes	characteristic
1287	#103	C₂³×C₁₇	1	1	yes	characteristic
1288	#103	C₂³×C₁₇	1	1	yes	characteristic
1289	#103	C₂³×C₁₇	1	1	yes	characteristic
1290	#103	C₂³×C₁₇	1	1	yes	characteristic
1291	#103	C₂³×C₁₇	1	1	yes	characteristic
1292	#102	C₂³×C₁₇	1	1	yes	characteristic
1293	#102	C₂³×C₁₇	1	1	yes	characteristic
1294	#102	C₂³×C₁₇	1	1	yes	characteristic
1295	#102	C₂³×C₁₇	1	1	yes	characteristic
1296	#102	C₂³×C₁₇	1	1	yes	characteristic
1297	#102	C₂³×C₁₇	1	1	yes	characteristic
1298	#102	C₂³×C₁₇	1	1	yes	characteristic
1299	#102	C₂³×C₁₇	1	1	yes	characteristic
1300	#102	C₂³×C₁₇	1	1	yes	characteristic
1301	#102	C₂³×C₁₇	1	1	yes	characteristic
1302	#102	C₂³×C₁₇	1	1	yes	characteristic
1303	#102	C₂³×C₁₇	1	1	yes	characteristic
1304	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1310	#97	C₂³×C₁₇	1	1	yes	characteristic
1311	#97	C₂³×C₁₇	1	1	yes	characteristic
1312	#97	C₂³×C₁₇	1	1	yes	characteristic
1313	#97	C₂³×C₁₇	1	1	yes	characteristic
1314	#97	C₂³×C₁₇	1	1	yes	characteristic
1315	#97	C₂³×C₁₇	1	1	yes	characteristic
1316	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
1317	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
1318	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
1319	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
1320	C₁₇	#61532	1	1	yes	characteristic, direct product factor, Sylow
1321	C₂⁴	—	2	1	no	—
1322	#41	—	2	2	no	—
1323	#41	—	2	2	no	—
1324	#41	—	2	2	no	—
1325	#41	—	2	2	no	—
1326	#41	—	2	2	no	—
1327	#41	—	4	1	no	—
1328	#41	—	4	1	no	—
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	C₂×D₄×C₁₇	1	1	yes	characteristic
1335	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
1336	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
1337	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
1338	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
1339	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
1340	C₂×D₄	—	2	2	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	4	1	no	—
1350	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1351	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1352	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1353	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
1354	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
1355	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1375	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1376	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1377	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1379	Q₁₆	—	2	2	no	—
1380	Q₁₆	—	2	2	no	—
1381	Q₁₆	—	4	1	no	—
1382	Q₁₆	—	4	1	no	—
1383	Q₁₆	—	4	1	no	—
1384	Q₁₆	—	4	1	no	—
1385	SD₁₆	—	2	2	no	—
1386	SD₁₆	—	2	2	no	—
1387	SD₁₆	—	2	2	no	—
1388	SD₁₆	—	2	2	no	—
1389	SD₁₆	—	2	2	no	—
1390	SD₁₆	—	2	2	no	—
1391	SD₁₆	—	4	1	no	—
1392	SD₁₆	—	4	1	no	—
1393	D₈	—	2	2	no	—
1394	D₈	#41×C₁₇	1	4	yes	—
1395	M₁₆	—	2	2	no	—
1396	M₁₆	—	4	1	no	—
1397	C₂×C₈	—	2	2	no	—
1398	C₂×C₈	—	2	2	no	—
1399	C₂×C₈	—	4	1	no	—
1400	C₂×C₈	—	4	1	no	—
1401	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1402	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1403	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1404	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1405	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1406	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1407	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1408	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1452	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1453	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1454	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1455	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1456	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1460	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1461	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1502	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1503	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1504	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1505	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1521	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1522	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1525	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1526	C₂³	—	2	1	no	—
1527	C₂³	—	2	1	no	—
1528	C₂³	—	2	1	no	—
1529	C₂³	—	4	2	no	—
1530	C₂³	—	8	1	no	—
1531	C₂³	—	8	1	no	—
1532	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1533	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1534	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1535	Q₈	—	2	1	no	—
1536	Q₈	—	2	1	no	—
1537	Q₈	—	2	1	no	—
1538	Q₈	—	2	1	no	—
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	4	1	no	—
1546	Q₈	—	8	1	no	—
1547	Q₈	—	8	1	no	—
1548	D₄	—	2	1	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	2	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	4	1	no	—
1553	D₄	—	4	1	no	—
1554	D₄	—	4	1	no	—
1555	D₄	—	4	2	no	—
1556	D₄	—	4	2	no	—
1557	D₄	—	4	2	no	—
1558	D₄	—	4	2	no	—
1559	D₄	—	4	2	no	—
1560	D₄	—	4	2	no	—
1561	D₄	—	8	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	C₂×#41×C₁₇	1	2	yes	—
1564	D₄	C₂×#41×C₁₇	1	2	yes	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	4	1	no	—
1585	C₂×C₄	—	4	1	no	—
1586	C₂×C₄	—	4	2	no	—
1587	C₂×C₄	—	4	2	no	—
1588	C₂×C₄	—	4	2	no	—
1589	C₂×C₄	—	4	2	no	—
1590	C₂×C₄	—	4	2	no	—
1591	C₂×C₄	—	4	2	no	—
1592	C₂×C₄	—	8	1	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	8	1	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1605	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1606	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1607	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1608	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1609	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1610	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1611	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1612	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1613	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1614	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1615	C₂×C₄	C₂⁵×C₁₇	1	1	yes	characteristic
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	2	1	no	—
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₈	—	2	1	no	—
1623	C₈	C₂×#41×C₁₇	1	2	yes	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	2	1	no	—
1632	C₂²	—	2	1	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	16	2	no	—
1643	C₂²	C₂³×D₄×C₁₇	1	1	yes	characteristic
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	C₂²×#41×C₁₇	1	1	yes	characteristic
1669	C₄	C₁₇×#585	1	1	yes	characteristic
1670	C₂	—	4	1	no	—
1671	C₂	—	4	1	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	2	no	—
1674	C₂	—	4	2	no	—
1675	C₂	—	8	1	no	—
1676	C₂	D₄×#41×C₁₇	1	1	yes	characteristic
1677	C₂	C₁₇×#3584	1	1	yes	characteristic
1678	C₂	C₁₇×#3586	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×#3521	C₂	semidirect
2. C₁₇×#3515	C₂	semidirect
3. C₁₇×#3398	C₂	semidirect
4. C₁₇×#3389	C₂	semidirect
5. C₁₇×#3376	C₂	semidirect
6. C₁₇×#3372	C₂	semidirect
7. C₁₇×#3349	C₂	semidirect
8. C₁₇×#3344	C₂	semidirect
9. C₁₇×#3337	C₂	semidirect
10. C₁₇×#3315	C₂	semidirect
11. C₁₇×#3315	C₂	semidirect
12. C₁₇×#3314	C₂	semidirect
13. C₁₇×#3307	C₂	semidirect
14. C₁₇×#3302	C₂	semidirect
15. C₁₇×#3296	C₂	semidirect
16. C₁₇×#3283	C₂	semidirect
17. C₁₇×#3267	C₂	semidirect
18. C₁₇×#3267	C₂	semidirect
19. C₁₇×#3181	C₂	semidirect
20. C₁₇×#3178	C₂	semidirect
21. C₁₇×#3177	C₂	semidirect
22. C₁₇×#3124	C₂	semidirect
23. C₁₇×#3123	C₂	semidirect
24. C₁₇×#3120	C₂	semidirect
25. C₁₇×#3120	C₂	semidirect
26. C₁₇×#3107	C₂	semidirect
27. C₁₇×#3102	C₂	semidirect
28. C₁₇×#2968	C₂	semidirect
29. C₁₇×#2952	C₂	semidirect
30. C₁₇×#2946	C₂	semidirect
31. C₁₇×#2943	C₂	semidirect
35. C₁₇×#557	C₂²	semidirect
40. C₁₇×#554	C₂²	semidirect
50. C₁₇×#552	C₂²	semidirect
56. C₁₇×#547	C₂²	semidirect
62. C₁₇×#541	C₂²	semidirect
67. C₁₇×#533	C₂²	semidirect
76. C₁₇×#520	C₂²	semidirect
79. C₄×#41×C₁₇	C₂²	semidirect
80. C₁₇×#501	C₂²	semidirect
81. C₁₇×#501	C₂²	semidirect
82. C₁₇×#499	C₂²	semidirect
85. C₁₇×#494	C₂²	semidirect
86. C₁₇×#491	C₂²	semidirect
87. C₁₇×#491	C₂²	semidirect
88. C₁₇×#491	C₂²	semidirect
91. C₁₇×#487	C₂²	semidirect
94. C₁₇×#485	C₂²	semidirect
95. C₁₇×#485	C₂²	semidirect
96. C₁₇×#485	C₂²	semidirect
98. C₁₇×#484	C₂²	semidirect
99. C₁₇×#484	C₂²	semidirect
101. C₁₇×#483	C₂²	semidirect
104. C₁₇×#479	C₂²	semidirect
105. C₁₇×#479	C₂²	semidirect
106. C₁₇×#479	C₂²	semidirect
110. C₁₇×#478	C₂²	semidirect
111. C₁₇×#478	C₂²	semidirect
112. C₁₇×#477	C₂²	semidirect
113. C₁₇×#475	C₂²	semidirect
115. C₁₇×#474	C₂²	semidirect
118. C₁₇×#470	C₂²	semidirect
122. C₁₇×#467	C₂²	semidirect
123. C₁₇×#467	C₂²	semidirect
124. C₁₇×#467	C₂²	semidirect
132. C₁₇×#462	C₂²	semidirect
133. C₁₇×#462	C₂²	semidirect
134. C₁₇×#462	C₂²	semidirect
139. C₁₇×#461	C₂²	semidirect
146. C₁₇×#452	C₂²	semidirect
147. C₁₇×#452	C₂²	semidirect
152. C₁₇×#446	C₂²	semidirect
153. C₁₇×#446	C₂²	semidirect
158. C₁₇×#441	C₂²	semidirect
159. C₁₇×#441	C₂²	semidirect
160. C₁₇×#441	C₂²	semidirect
161. C₁₇×#441	C₂²	semidirect
162. C₁₇×#441	C₂²	semidirect
168. C₁₇×#440	C₂²	semidirect
169. C₁₇×#440	C₂²	semidirect
170. C₄×Q₁₆×C₁₇	C₂²	semidirect
171. C₄×Q₁₆×C₁₇	C₂²	semidirect
172. C₄×Q₁₆×C₁₇	C₂²	semidirect
178. C₄×SD₁₆×C₁₇	C₂²	semidirect
179. C₄×SD₁₆×C₁₇	C₂²	semidirect
185. C₁₇×#435	C₂²	semidirect
187. C₈×D₄×C₁₇	C₂²	semidirect
189. C₁₇×#433	C₂²	semidirect
190. C₁₇×#431	C₂²	semidirect
192. C₁₇×#427	C₂²	semidirect
193. C₂×C₁₇×#106	C₂²	semidirect
195. C₁₇×#417	C₂²	semidirect
198. C₁₇×#416	C₂²	semidirect
201. C₁₇×#405	C₂²	semidirect
202. C₂×C₁₇×#97	C₂²	semidirect
686. #61532	C₁₇	direct (N × H)
785. #3521	C₂×C₁₇	semidirect
786. #3515	C₂×C₁₇	semidirect
787. #3398	C₂×C₁₇	semidirect
788. #3389	C₂×C₁₇	semidirect
789. #3376	C₂×C₁₇	semidirect
790. #3372	C₂×C₁₇	semidirect
791. #3349	C₂×C₁₇	semidirect
792. #3344	C₂×C₁₇	semidirect
793. #3337	C₂×C₁₇	semidirect
794. #3315	C₂×C₁₇	semidirect
795. #3315	C₂×C₁₇	semidirect
796. #3314	C₂×C₁₇	semidirect
797. #3307	C₂×C₁₇	semidirect
798. #3302	C₂×C₁₇	semidirect
799. #3296	C₂×C₁₇	semidirect
800. #3283	C₂×C₁₇	semidirect
801. #3267	C₂×C₁₇	semidirect
802. #3267	C₂×C₁₇	semidirect
803. #3181	C₂×C₁₇	semidirect
804. #3178	C₂×C₁₇	semidirect
805. #3177	C₂×C₁₇	semidirect
806. #3124	C₂×C₁₇	semidirect
807. #3123	C₂×C₁₇	semidirect
808. #3120	C₂×C₁₇	semidirect
809. #3120	C₂×C₁₇	semidirect
810. #3107	C₂×C₁₇	semidirect
811. #3102	C₂×C₁₇	semidirect
812. #2968	C₂×C₁₇	semidirect
813. #2952	C₂×C₁₇	semidirect
814. #2946	C₂×C₁₇	semidirect
815. #2943	C₂×C₁₇	semidirect
865. #557	C₂²×C₁₇	semidirect
870. #554	C₂²×C₁₇	semidirect
880. #552	C₂²×C₁₇	semidirect
886. #547	C₂²×C₁₇	semidirect
892. #541	C₂²×C₁₇	semidirect
897. #533	C₂²×C₁₇	semidirect
906. #520	C₂²×C₁₇	semidirect
909. C₄×#41	C₂²×C₁₇	semidirect
910. #501	C₂²×C₁₇	semidirect
911. #501	C₂²×C₁₇	semidirect
912. #499	C₂²×C₁₇	semidirect
915. #494	C₂²×C₁₇	semidirect
916. #491	C₂²×C₁₇	semidirect
917. #491	C₂²×C₁₇	semidirect
918. #491	C₂²×C₁₇	semidirect
921. #487	C₂²×C₁₇	semidirect
924. #485	C₂²×C₁₇	semidirect
925. #485	C₂²×C₁₇	semidirect
926. #485	C₂²×C₁₇	semidirect
928. #484	C₂²×C₁₇	semidirect
929. #484	C₂²×C₁₇	semidirect
931. #483	C₂²×C₁₇	semidirect
934. #479	C₂²×C₁₇	semidirect
935. #479	C₂²×C₁₇	semidirect
936. #479	C₂²×C₁₇	semidirect
940. #478	C₂²×C₁₇	semidirect
941. #478	C₂²×C₁₇	semidirect
942. #477	C₂²×C₁₇	semidirect
943. #475	C₂²×C₁₇	semidirect
945. #474	C₂²×C₁₇	semidirect
948. #470	C₂²×C₁₇	semidirect
952. #467	C₂²×C₁₇	semidirect
953. #467	C₂²×C₁₇	semidirect
954. #467	C₂²×C₁₇	semidirect
962. #462	C₂²×C₁₇	semidirect
963. #462	C₂²×C₁₇	semidirect
964. #462	C₂²×C₁₇	semidirect
969. #461	C₂²×C₁₇	semidirect
976. #452	C₂²×C₁₇	semidirect
977. #452	C₂²×C₁₇	semidirect
982. #446	C₂²×C₁₇	semidirect
983. #446	C₂²×C₁₇	semidirect
988. #441	C₂²×C₁₇	semidirect
989. #441	C₂²×C₁₇	semidirect
990. #441	C₂²×C₁₇	semidirect
991. #441	C₂²×C₁₇	semidirect
992. #441	C₂²×C₁₇	semidirect
998. #440	C₂²×C₁₇	semidirect
999. #440	C₂²×C₁₇	semidirect
1000. C₄×Q₁₆	C₂²×C₁₇	semidirect
1001. C₄×Q₁₆	C₂²×C₁₇	semidirect
1002. C₄×Q₁₆	C₂²×C₁₇	semidirect
1008. C₄×SD₁₆	C₂²×C₁₇	semidirect
1009. C₄×SD₁₆	C₂²×C₁₇	semidirect
1015. #435	C₂²×C₁₇	semidirect
1017. C₈×D₄	C₂²×C₁₇	semidirect
1019. #433	C₂²×C₁₇	semidirect
1020. #431	C₂²×C₁₇	semidirect
1022. #427	C₂²×C₁₇	semidirect
1023. C₂×#106	C₂²×C₁₇	semidirect
1025. #417	C₂²×C₁₇	semidirect
1028. #416	C₂²×C₁₇	semidirect
1031. #405	C₂²×C₁₇	semidirect
1032. C₂×#97	C₂²×C₁₇	semidirect
1320. C₁₇	#61532	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×#3521	2
C₁₇×#3515	2
C₁₇×#3398	2
C₁₇×#3389	2
C₁₇×#3376	2
C₁₇×#3372	2
C₁₇×#3349	2
C₁₇×#3344	2
C₁₇×#3337	2
C₁₇×#3315	2
C₁₇×#3314	2
C₁₇×#3307	2
C₁₇×#3302	2
C₁₇×#3296	2
C₁₇×#3283	2
C₁₇×#3267	2
C₁₇×#3181	2
C₁₇×#3178	2
C₁₇×#3177	2
C₁₇×#3124	2
C₁₇×#3123	2
C₁₇×#3120	2
C₁₇×#3107	2
C₁₇×#3102	2
C₁₇×#2968	2
C₁₇×#2952	2
C₁₇×#2946	2
C₁₇×#2943	2
#61532	17

Subgroups — C17×#61532 #16919276

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#61532 #16919276