Subgroups — C₁₇×#62140 #16919884

Order 4352.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#3515	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₇×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₇×#3390	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₇×#3371	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₇×#3349	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#3346	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#3345	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#3339	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#3337	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#3317	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#3316	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#3309	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₇×#3308	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₇×#3301	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₇×#3300	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₇×#3256	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₇×#3250	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₇×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₇×#3240	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₇×#3234	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₇×#3232	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₇×#3117	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₇×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₇×#3080	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₇×#3076	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₇×#479	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#2990	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₇×#559	—	2	1	no	—
33	C₁₇×#559	C₂²	1	1	yes	characteristic
34	C₁₇×#557	C₂²	1	1	yes	characteristic
35	C₁₇×#557	C₂²	1	1	yes	characteristic
36	C₁₇×#556	—	2	1	no	—
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×#553	—	2	1	no	—
41	C₁₇×#553	—	2	1	no	—
42	C₁₇×#553	C₂²	1	1	yes	characteristic
43	C₁₇×#553	C₂²	1	1	yes	characteristic
44	C₁₇×#553	C₂²	1	1	yes	characteristic
45	C₁₇×#553	C₂²	1	1	yes	characteristic
46	C₁₇×#552	—	2	1	no	—
47	C₁₇×#552	—	2	1	no	—
48	C₁₇×#552	—	2	1	no	—
49	C₁₇×#552	C₂²	1	1	yes	characteristic
50	C₁₇×#552	C₂²	1	1	yes	characteristic
51	C₁₇×#550	C₂²	1	1	yes	characteristic
52	C₁₇×#548	C₂²	1	1	yes	characteristic
53	C₁₇×#548	C₂²	1	1	yes	characteristic
54	C₁₇×#547	—	2	1	no	—
55	C₁₇×#547	C₂²	1	1	yes	characteristic
56	C₁₇×#541	—	2	1	no	—
57	C₁₇×#539	—	2	1	no	—
58	C₁₇×#539	—	2	1	no	—
59	C₁₇×#533	C₂²	1	1	yes	characteristic
60	C₁₇×#532	—	2	1	no	—
61	C₁₇×#532	C₂²	1	1	yes	characteristic
62	C₁₇×#529	—	2	1	no	—
63	C₁₇×#529	—	2	1	no	—
64	C₁₇×#529	C₂²	1	1	yes	characteristic
65	C₁₇×#529	C₂²	1	1	yes	characteristic
66	C₁₇×#529	C₂²	1	1	yes	characteristic
67	C₁₇×#529	C₂²	1	1	yes	characteristic
68	C₁₇×#529	C₂²	1	1	yes	characteristic
69	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
70	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
71	C₁₇×#520	—	2	1	no	—
72	C₄×#41×C₁₇	—	2	1	no	—
73	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic
74	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic
75	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic
77	C₁₇×#501	C₂²	1	1	yes	characteristic
78	C₁₇×#501	C₂²	1	1	yes	characteristic
79	C₁₇×#501	C₂²	1	1	yes	characteristic
80	C₁₇×#501	C₂²	1	1	yes	characteristic
81	C₁₇×#499	C₂²	1	1	yes	characteristic
82	C₁₇×#499	C₂²	1	1	yes	characteristic
83	C₁₇×#490	C₂²	1	1	yes	characteristic
84	C₁₇×#490	C₂²	1	1	yes	characteristic
85	C₁₇×#489	C₂²	1	1	yes	characteristic
86	C₁₇×#489	C₂²	1	1	yes	characteristic
87	C₁₇×#488	C₂²	1	1	yes	characteristic
88	C₁₇×#488	C₂²	1	1	yes	characteristic
89	C₁₇×#485	C₂²	1	1	yes	characteristic
90	C₁₇×#485	C₂²	1	1	yes	characteristic
91	C₁₇×#485	C₂²	1	1	yes	characteristic
92	C₁₇×#485	C₂²	1	1	yes	characteristic
93	C₁₇×#484	C₂²	1	1	yes	characteristic
94	C₁₇×#484	C₂²	1	1	yes	characteristic
95	C₁₇×#483	C₂²	1	1	yes	characteristic
96	C₁₇×#482	C₂²	1	1	yes	characteristic
97	C₁₇×#482	C₂²	1	1	yes	characteristic
98	C₁₇×#482	C₂²	1	1	yes	characteristic
99	C₁₇×#482	C₂²	1	1	yes	characteristic
100	C₁₇×#481	C₂²	1	1	yes	characteristic
101	C₁₇×#481	C₂²	1	1	yes	characteristic
102	C₁₇×#481	C₂²	1	1	yes	characteristic
103	C₁₇×#481	C₂²	1	1	yes	characteristic
104	C₁₇×#480	C₂²	1	1	yes	characteristic
105	C₁₇×#480	C₂²	1	1	yes	characteristic
106	C₁₇×#480	C₂²	1	1	yes	characteristic
107	C₁₇×#479	C₂²	1	1	yes	characteristic
108	C₁₇×#479	C₂²	1	1	yes	characteristic
109	C₁₇×#479	C₂²	1	1	yes	characteristic
110	C₁₇×#479	C₂²	1	1	yes	characteristic
111	C₁₇×#479	C₂²	1	1	yes	characteristic
112	C₁₇×#479	C₂²	1	1	yes	characteristic
113	C₁₇×#479	C₂²	1	1	yes	characteristic
114	C₁₇×#479	C₂²	1	1	yes	characteristic
115	C₁₇×#479	C₂²	1	1	yes	characteristic
116	C₁₇×#479	C₂²	1	1	yes	characteristic
117	C₁₇×#479	C₂²	1	1	yes	characteristic
118	C₁₇×#479	C₂²	1	1	yes	characteristic
119	C₁₇×#479	C₂²	1	1	yes	characteristic
120	C₁₇×#479	C₂²	1	1	yes	characteristic
121	C₁₇×#478	C₂²	1	1	yes	characteristic
122	C₁₇×#478	C₂²	1	1	yes	characteristic
123	C₁₇×#478	C₂²	1	1	yes	characteristic
124	C₁₇×#478	C₂²	1	1	yes	characteristic
125	C₁₇×#478	C₂²	1	1	yes	characteristic
126	C₁₇×#478	C₂²	1	1	yes	characteristic
127	C₁₇×#478	C₂²	1	1	yes	characteristic
128	C₁₇×#478	C₂²	1	1	yes	characteristic
129	C₁₇×#478	C₂²	1	1	yes	characteristic
130	C₁₇×#478	C₂²	1	1	yes	characteristic
131	C₁₇×#477	C₂²	1	1	yes	characteristic
132	C₁₇×#477	C₂²	1	1	yes	characteristic
133	C₁₇×#476	C₂²	1	1	yes	characteristic
134	C₁₇×#476	C₂²	1	1	yes	characteristic
135	C₁₇×#475	C₂²	1	1	yes	characteristic
136	C₁₇×#474	C₂²	1	1	yes	characteristic
137	C₁₇×#470	C₂²	1	1	yes	characteristic
138	C₁₇×#469	C₂²	1	1	yes	characteristic
139	C₁₇×#468	C₂²	1	1	yes	characteristic
140	C₁₇×#468	C₂²	1	1	yes	characteristic
141	C₁₇×#467	C₂²	1	1	yes	characteristic
142	C₁₇×#466	C₂²	1	1	yes	characteristic
143	C₁₇×#466	C₂²	1	1	yes	characteristic
144	C₁₇×#466	C₂²	1	1	yes	characteristic
145	C₁₇×#465	C₂²	1	1	yes	characteristic
146	C₁₇×#465	C₂²	1	1	yes	characteristic
147	C₁₇×#465	C₂²	1	1	yes	characteristic
148	C₁₇×#465	C₂²	1	1	yes	characteristic
149	C₁₇×#464	C₂²	1	1	yes	characteristic
150	C₁₇×#464	C₂²	1	1	yes	characteristic
151	C₁₇×#464	C₂²	1	1	yes	characteristic
152	C₁₇×#464	C₂²	1	1	yes	characteristic
153	C₁₇×#463	C₂²	1	1	yes	characteristic
154	C₁₇×#463	C₂²	1	1	yes	characteristic
155	C₁₇×#463	C₂²	1	1	yes	characteristic
156	C₁₇×#463	C₂²	1	1	yes	characteristic
157	C₁₇×#460	C₂²	1	1	yes	characteristic
158	C₁₇×#459	C₂²	1	1	yes	characteristic
159	C₁₇×#452	C₂²	1	1	yes	characteristic
160	C₁₇×#452	C₂²	1	1	yes	characteristic
161	C₁₇×#451	C₂²	1	1	yes	characteristic
162	C₁₇×#449	C₂²	1	1	yes	characteristic
163	C₁₇×#449	C₂²	1	1	yes	characteristic
164	C₁₇×#448	C₂²	1	1	yes	characteristic
165	C₁₇×#446	C₂²	1	1	yes	characteristic
166	C₁₇×#446	C₂²	1	1	yes	characteristic
167	C₁₇×#442	C₂²	1	1	yes	characteristic
168	C₁₇×#441	C₂²	1	1	yes	characteristic
169	C₁₇×#441	C₂²	1	1	yes	characteristic
170	C₁₇×#441	C₂²	1	1	yes	characteristic
171	C₁₇×#440	C₂²	1	1	yes	characteristic
172	C₁₇×#440	C₂²	1	1	yes	characteristic
173	C₁₇×#440	C₂²	1	1	yes	characteristic
174	C₁₇×#440	C₂²	1	1	yes	characteristic
175	C₄×Q₁₆×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×D₈×C₁₇	C₂²	1	1	yes	characteristic
179	C₁₇×#435	C₂²	1	1	yes	characteristic
180	C₁₇×#435	C₂²	1	1	yes	characteristic
181	C₁₇×#435	C₂²	1	1	yes	characteristic
182	C₁₇×#435	C₂²	1	1	yes	characteristic
183	C₈×D₄×C₁₇	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₁₇	C₂²	1	1	yes	characteristic
185	C₁₇×#432	C₂²	1	1	yes	characteristic
186	C₁₇×#432	C₂²	1	1	yes	characteristic
187	C₁₇×#431	C₂²	1	1	yes	characteristic
188	C₁₇×#428	C₂²	1	1	yes	characteristic
189	C₁₇×#428	C₂²	1	1	yes	characteristic
190	C₁₇×#427	C₂²	1	1	yes	characteristic
191	C₁₇×#427	C₂²	1	1	yes	characteristic
192	C₂×C₁₇×#107	C₂²	1	1	yes	characteristic
193	C₂×C₁₇×#106	C₂²	1	1	yes	characteristic
194	C₁₇×#423	C₂²	1	1	yes	characteristic
195	C₂×C₁₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
196	C₂×C₁₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
197	C₁₇×#417	C₂²	1	1	yes	characteristic
198	C₁₇×#417	C₂²	1	1	yes	characteristic
199	C₁₇×#416	C₂²	1	1	yes	characteristic
200	C₁₇×#416	C₂²	1	1	yes	characteristic
201	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
202	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
203	C₂×#41×C₁₇	—	2	1	no	—
204	C₂×#41×C₁₇	—	2	1	no	—
205	C₂×#41×C₁₇	D₄	1	1	yes	characteristic
206	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
207	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
209	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
212	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
217	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
223	C₁₇×C₄⋊Q₈	—	2	1	no	—
224	C₁₇×C₄⋊Q₈	—	2	1	no	—
225	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₇×#127	—	2	1	no	—
229	C₁₇×#127	C₂³	1	1	yes	characteristic
230	C₁₇×#126	—	2	1	no	—
231	C₁₇×#126	—	2	1	no	—
232	C₁₇×#126	—	2	1	no	—
233	C₁₇×#126	—	2	1	no	—
234	C₁₇×#126	—	2	1	no	—
235	C₁₇×#126	—	2	1	no	—
236	C₁₇×#126	—	2	1	no	—
237	C₁₇×#126	—	2	1	no	—
238	C₁₇×#126	—	2	1	no	—
239	C₁₇×#126	—	2	1	no	—
240	C₁₇×#126	—	2	1	no	—
241	C₁₇×#126	—	2	1	no	—
242	C₁₇×#126	—	2	1	no	—
243	C₁₇×#125	—	2	1	no	—
244	C₁₇×#125	—	2	1	no	—
245	C₁₇×#125	—	2	1	no	—
246	C₁₇×#125	—	2	1	no	—
247	C₁₇×#125	—	2	1	no	—
248	C₁₇×#125	—	2	1	no	—
249	C₁₇×#125	—	2	1	no	—
250	C₁₇×#125	—	2	1	no	—
251	C₁₇×#125	—	2	1	no	—
252	C₁₇×#125	—	2	1	no	—
253	C₁₇×#125	—	2	1	no	—
254	C₁₇×#125	C₂³	1	1	yes	characteristic
255	C₁₇×#125	C₂³	1	1	yes	characteristic
256	C₁₇×#125	C₂³	1	1	yes	characteristic
257	C₁₇×#125	C₂³	1	1	yes	characteristic
258	C₁₇×#125	C₂³	1	1	yes	characteristic
259	C₁₇×#125	C₂³	1	1	yes	characteristic
260	C₁₇×#125	C₂³	1	1	yes	characteristic
261	C₁₇×#125	C₂³	1	1	yes	characteristic
262	C₁₇×#125	C₂³	1	1	yes	characteristic
263	C₁₇×#124	—	2	1	no	—
264	C₁₇×#124	—	2	1	no	—
265	C₁₇×#124	—	2	1	no	—
266	C₁₇×#124	—	2	1	no	—
267	C₁₇×#124	—	2	1	no	—
268	C₁₇×#124	C₂³	1	1	yes	characteristic
269	C₁₇×#124	C₂³	1	1	yes	characteristic
270	C₁₇×#124	C₂³	1	1	yes	characteristic
271	C₁₇×#123	—	2	1	no	—
272	C₁₇×#123	—	2	1	no	—
273	C₁₇×#123	—	2	1	no	—
274	C₁₇×#123	—	2	1	no	—
275	C₁₇×#123	—	2	1	no	—
276	C₁₇×#123	—	2	1	no	—
277	C₁₇×#123	—	2	1	no	—
278	C₁₇×#123	—	2	1	no	—
279	C₁₇×#123	—	2	1	no	—
280	C₁₇×#123	—	2	1	no	—
281	C₁₇×#123	—	2	1	no	—
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×C₂²⋊Q₈	—	2	1	no	—
287	C₁₇×C₂²⋊Q₈	—	2	1	no	—
288	C₁₇×C₂²⋊Q₈	—	2	1	no	—
289	C₁₇×C₂²⋊Q₈	—	2	1	no	—
290	C₁₇×C₂²⋊Q₈	—	2	1	no	—
291	C₁₇×C₂²⋊Q₈	—	2	1	no	—
292	C₁₇×C₂²⋊Q₈	—	2	1	no	—
293	C₁₇×C₂²⋊Q₈	—	2	1	no	—
294	C₁₇×C₂²⋊Q₈	—	2	1	no	—
295	C₁₇×C₂²⋊Q₈	—	2	1	no	—
296	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
297	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
298	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
299	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₁₇×#121	—	2	1	no	—
302	C₁₇×#121	—	2	1	no	—
303	C₁₇×#121	—	2	1	no	—
304	C₁₇×#121	—	2	1	no	—
305	C₁₇×#121	—	2	1	no	—
306	C₁₇×#121	—	2	1	no	—
307	C₁₇×#121	—	2	1	no	—
308	C₁₇×#121	—	2	1	no	—
309	C₁₇×#121	—	2	1	no	—
310	C₁₇×#121	C₂³	1	1	yes	characteristic
311	C₁₇×#121	C₂³	1	1	yes	characteristic
312	C₁₇×#121	C₂³	1	1	yes	characteristic
313	C₁₇×#121	C₂³	1	1	yes	characteristic
314	C₁₇×#121	C₂³	1	1	yes	characteristic
315	C₁₇×#121	C₂³	1	1	yes	characteristic
316	C₁₇×#121	C₂³	1	1	yes	characteristic
317	C₄×Q₈×C₁₇	—	2	1	no	—
318	C₄×Q₈×C₁₇	—	2	1	no	—
319	C₄×Q₈×C₁₇	—	2	1	no	—
320	C₄×Q₈×C₁₇	—	2	1	no	—
321	C₄×Q₈×C₁₇	—	2	1	no	—
322	C₄×Q₈×C₁₇	—	2	1	no	—
323	C₄×Q₈×C₁₇	—	2	1	no	—
324	C₄×Q₈×C₁₇	D₄	1	1	yes	characteristic
325	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
327	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
328	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
330	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
331	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
335	C₄×D₄×C₁₇	—	2	1	no	—
336	C₄×D₄×C₁₇	—	2	1	no	—
337	C₄×D₄×C₁₇	—	2	1	no	—
338	C₄×D₄×C₁₇	—	2	1	no	—
339	C₄×D₄×C₁₇	—	2	1	no	—
340	C₄×D₄×C₁₇	—	2	1	no	—
341	C₄×D₄×C₁₇	—	2	1	no	—
342	C₄×D₄×C₁₇	—	2	1	no	—
343	C₄×D₄×C₁₇	—	2	1	no	—
344	C₄×D₄×C₁₇	—	2	1	no	—
345	C₄×D₄×C₁₇	—	2	1	no	—
346	C₄×D₄×C₁₇	—	2	1	no	—
347	C₄×D₄×C₁₇	—	2	1	no	—
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	D₄	1	1	yes	characteristic
355	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
356	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
357	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
358	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
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	C₁₇×#117	—	2	1	no	—
368	C₁₇×#117	—	2	1	no	—
369	C₁₇×#117	—	2	1	no	—
370	C₁₇×#117	—	2	1	no	—
371	C₁₇×#117	—	2	1	no	—
372	C₁₇×#117	—	2	1	no	—
373	C₁₇×#117	—	2	1	no	—
374	C₁₇×#117	—	2	1	no	—
375	C₁₇×#117	—	2	1	no	—
376	C₁₇×#117	D₄	1	1	yes	characteristic
377	C₁₇×#117	D₄	1	1	yes	characteristic
378	C₁₇×#117	D₄	1	1	yes	characteristic
379	C₁₇×#117	C₂³	1	1	yes	characteristic
380	C₁₇×#117	C₂³	1	1	yes	characteristic
381	C₁₇×#117	C₂³	1	1	yes	characteristic
382	C₁₇×#117	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
384	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
385	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
386	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
387	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
388	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
389	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
394	C₂×C₄²×C₁₇	—	2	1	no	—
395	C₂×C₄²×C₁₇	—	2	1	no	—
396	C₂×C₄²×C₁₇	—	2	1	no	—
397	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
398	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
399	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
400	C₁₇×#107	C₂³	1	1	yes	characteristic
401	C₁₇×#107	C₂³	1	1	yes	characteristic
402	C₁₇×#107	C₂³	1	1	yes	characteristic
403	C₁₇×#107	C₂³	1	1	yes	characteristic
404	C₁₇×#107	C₂³	1	1	yes	characteristic
405	C₁₇×#107	C₂³	1	1	yes	characteristic
406	C₁₇×#107	C₂³	1	1	yes	characteristic
407	C₁₇×#107	C₂³	1	1	yes	characteristic
408	C₁₇×#107	C₂³	1	1	yes	characteristic
409	C₁₇×#107	C₂³	1	1	yes	characteristic
410	C₁₇×#107	C₂³	1	1	yes	characteristic
411	C₁₇×#107	C₂³	1	1	yes	characteristic
412	C₁₇×#106	C₂³	1	1	yes	characteristic
413	C₁₇×#106	C₂³	1	1	yes	characteristic
414	C₁₇×#106	C₂³	1	1	yes	characteristic
415	C₁₇×#106	C₂³	1	1	yes	characteristic
416	C₁₇×#106	C₂³	1	1	yes	characteristic
417	C₁₇×#106	C₂³	1	1	yes	characteristic
418	C₁₇×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₇×C₄⋊C₈	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×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
451	C₁₇×#102	C₂³	1	1	yes	characteristic
452	C₁₇×#102	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×#102	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×C₂²⋊C₈	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	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
478	#41×C₁₇	—	2	2	no	—
479	#41×C₁₇	—	2	2	no	—
480	#41×C₁₇	—	4	2	no	—
481	#41×C₁₇	—	4	1	no	—
482	#41×C₁₇	—	4	1	no	—
483	#41×C₁₇	—	4	4	no	—
484	#41×C₁₇	—	4	4	no	—
485	C₂×Q₈×C₁₇	—	2	1	no	—
486	C₂×Q₈×C₁₇	—	2	1	no	—
487	C₂×Q₈×C₁₇	—	2	1	no	—
488	C₂×Q₈×C₁₇	—	2	1	no	—
489	C₂×Q₈×C₁₇	—	2	2	no	—
490	C₂×Q₈×C₁₇	—	4	1	no	—
491	C₂×Q₈×C₁₇	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₁₇	—	2	1	no	—
496	C₂×D₄×C₁₇	—	2	1	no	—
497	C₂×D₄×C₁₇	—	2	1	no	—
498	C₂×D₄×C₁₇	—	2	1	no	—
499	C₂×D₄×C₁₇	—	2	1	no	—
500	C₂×D₄×C₁₇	—	2	1	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	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₇	—	2	1	no	—
513	C₂²×C₄×C₁₇	—	2	1	no	—
514	C₂²×C₄×C₁₇	—	2	1	no	—
515	C₂²×C₄×C₁₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
533	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
536	Q₁₆×C₁₇	—	2	2	no	—
537	Q₁₆×C₁₇	—	4	1	no	—
538	SD₁₆×C₁₇	—	2	2	no	—
539	SD₁₆×C₁₇	—	4	1	no	—
540	SD₁₆×C₁₇	—	4	1	no	—
541	SD₁₆×C₁₇	—	4	1	no	—
542	D₈×C₁₇	—	4	1	no	—
543	D₈×C₁₇	—	4	1	no	—
544	M₁₆×C₁₇	—	4	1	no	—
545	M₁₆×C₁₇	—	4	1	no	—
546	C₂×C₈×C₁₇	—	4	1	no	—
547	C₂×C₈×C₁₇	—	4	1	no	—
548	C₂×C₈×C₁₇	—	4	1	no	—
549	C₂×C₈×C₁₇	—	4	1	no	—
550	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
558	C₄⋊C₄×C₁₇	—	2	1	no	—
559	C₄⋊C₄×C₁₇	—	2	1	no	—
560	C₄⋊C₄×C₁₇	—	2	1	no	—
561	C₄⋊C₄×C₁₇	—	2	1	no	—
562	C₄⋊C₄×C₁₇	—	2	1	no	—
563	C₄⋊C₄×C₁₇	—	2	1	no	—
564	C₄⋊C₄×C₁₇	—	2	1	no	—
565	C₄⋊C₄×C₁₇	—	2	1	no	—
566	C₄⋊C₄×C₁₇	—	2	1	no	—
567	C₄⋊C₄×C₁₇	—	2	1	no	—
568	C₄⋊C₄×C₁₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
605	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
614	C₂²⋊C₄×C₁₇	—	2	1	no	—
615	C₂²⋊C₄×C₁₇	—	2	1	no	—
616	C₂²⋊C₄×C₁₇	—	2	1	no	—
617	C₂²⋊C₄×C₁₇	—	2	1	no	—
618	C₂²⋊C₄×C₁₇	—	2	1	no	—
619	C₂²⋊C₄×C₁₇	—	2	1	no	—
620	C₂²⋊C₄×C₁₇	—	2	1	no	—
621	C₂²⋊C₄×C₁₇	—	2	1	no	—
622	C₂²⋊C₄×C₁₇	—	2	1	no	—
623	C₂²⋊C₄×C₁₇	—	2	1	no	—
624	C₂²⋊C₄×C₁₇	—	2	1	no	—
625	C₂²⋊C₄×C₁₇	—	2	1	no	—
626	C₂²⋊C₄×C₁₇	—	2	1	no	—
627	C₂²⋊C₄×C₁₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
649	C₄²×C₁₇	—	2	1	no	—
650	C₄²×C₁₇	—	2	1	no	—
651	C₄²×C₁₇	—	2	1	no	—
652	C₄²×C₁₇	—	2	1	no	—
653	C₄²×C₁₇	—	2	1	no	—
654	C₄²×C₁₇	—	2	1	no	—
655	C₄²×C₁₇	—	2	1	no	—
656	C₄²×C₁₇	—	2	1	no	—
657	C₄²×C₁₇	—	2	1	no	—
658	C₄²×C₁₇	—	2	1	no	—
659	C₄²×C₁₇	—	2	1	no	—
660	C₄²×C₁₇	—	2	1	no	—
661	C₄²×C₁₇	—	2	1	no	—
662	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
663	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
666	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
669	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
670	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
671	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
672	#62140	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
673	C₂³×C₁₇	—	2	1	no	—
674	C₂³×C₁₇	—	2	1	no	—
675	C₂³×C₁₇	—	2	1	no	—
676	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
677	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
678	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
679	Q₈×C₁₇	—	2	1	no	—
680	Q₈×C₁₇	—	2	1	no	—
681	Q₈×C₁₇	—	2	1	no	—
682	Q₈×C₁₇	—	2	1	no	—
683	Q₈×C₁₇	—	2	1	no	—
684	Q₈×C₁₇	—	4	1	no	—
685	Q₈×C₁₇	—	4	2	no	—
686	Q₈×C₁₇	—	4	2	no	—
687	Q₈×C₁₇	—	4	2	no	—
688	Q₈×C₁₇	—	8	1	no	—
689	Q₈×C₁₇	2₋¹⁺⁴	1	2	yes	—
690	D₄×C₁₇	—	2	2	no	—
691	D₄×C₁₇	—	2	2	no	—
692	D₄×C₁₇	—	2	1	no	—
693	D₄×C₁₇	—	2	1	no	—
694	D₄×C₁₇	—	2	1	no	—
695	D₄×C₁₇	—	2	1	no	—
696	D₄×C₁₇	—	2	1	no	—
697	D₄×C₁₇	—	2	1	no	—
698	D₄×C₁₇	—	4	1	no	—
699	D₄×C₁₇	—	4	2	no	—
700	D₄×C₁₇	—	4	2	no	—
701	D₄×C₁₇	—	4	2	no	—
702	D₄×C₁₇	—	4	2	no	—
703	D₄×C₁₇	—	4	2	no	—
704	D₄×C₁₇	—	4	2	no	—
705	D₄×C₁₇	—	4	2	no	—
706	D₄×C₁₇	—	8	1	no	—
707	D₄×C₁₇	—	8	1	no	—
708	D₄×C₁₇	—	8	1	no	—
709	D₄×C₁₇	—	8	1	no	—
710	C₂×C₄×C₁₇	—	2	2	no	—
711	C₂×C₄×C₁₇	—	2	1	no	—
712	C₂×C₄×C₁₇	—	2	1	no	—
713	C₂×C₄×C₁₇	—	2	1	no	—
714	C₂×C₄×C₁₇	—	2	1	no	—
715	C₂×C₄×C₁₇	—	2	1	no	—
716	C₂×C₄×C₁₇	—	2	1	no	—
717	C₂×C₄×C₁₇	—	2	1	no	—
718	C₂×C₄×C₁₇	—	2	1	no	—
719	C₂×C₄×C₁₇	—	2	1	no	—
720	C₂×C₄×C₁₇	—	2	1	no	—
721	C₂×C₄×C₁₇	—	2	1	no	—
722	C₂×C₄×C₁₇	—	2	1	no	—
723	C₂×C₄×C₁₇	—	2	1	no	—
724	C₂×C₄×C₁₇	—	2	1	no	—
725	C₂×C₄×C₁₇	—	2	1	no	—
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	—	4	1	no	—
731	C₂×C₄×C₁₇	—	4	1	no	—
732	C₂×C₄×C₁₇	—	4	1	no	—
733	C₂×C₄×C₁₇	—	4	1	no	—
734	C₂×C₄×C₁₇	—	4	1	no	—
735	C₂×C₄×C₁₇	—	4	2	no	—
736	C₂×C₄×C₁₇	—	4	2	no	—
737	C₂×C₄×C₁₇	—	4	2	no	—
738	C₂×C₄×C₁₇	—	4	2	no	—
739	C₂×C₄×C₁₇	—	4	2	no	—
740	C₂×C₄×C₁₇	—	4	2	no	—
741	C₂×C₄×C₁₇	—	4	2	no	—
742	C₂×C₄×C₁₇	—	4	2	no	—
743	C₂×C₄×C₁₇	—	8	1	no	—
744	C₂×C₄×C₁₇	—	8	1	no	—
745	C₂×C₄×C₁₇	—	8	1	no	—
746	C₂×C₄×C₁₇	—	8	1	no	—
747	C₂×C₄×C₁₇	—	8	1	no	—
748	C₂×C₄×C₁₇	—	8	1	no	—
749	C₂×C₄×C₁₇	—	8	1	no	—
750	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
762	C₈×C₁₇	—	2	1	no	—
763	C₈×C₁₇	—	2	1	no	—
764	C₈×C₁₇	—	2	1	no	—
765	C₈×C₁₇	—	2	1	no	—
766	C₈×C₁₇	—	2	1	no	—
767	C₈×C₁₇	—	2	1	no	—
768	C₈×C₁₇	—	2	1	no	—
769	C₈×C₁₇	—	2	1	no	—
770	#3515	C₂×C₁₇	1	1	yes	characteristic, complemented
771	#3480	C₂×C₁₇	1	1	yes	characteristic, complemented
772	#3390	C₂×C₁₇	1	1	yes	characteristic, complemented
773	#3388	C₂×C₁₇	1	1	yes	characteristic, complemented
774	#3371	C₂×C₁₇	1	1	yes	characteristic, complemented
775	#3370	C₂×C₁₇	1	1	yes	characteristic, complemented
776	#3350	C₂×C₁₇	1	1	yes	characteristic, complemented
777	#3349	C₂×C₁₇	1	1	yes	characteristic, complemented
778	#3346	C₂×C₁₇	1	1	yes	characteristic, complemented
779	#3345	C₂×C₁₇	1	1	yes	characteristic, complemented
780	#3339	C₂×C₁₇	1	1	yes	characteristic, complemented
781	#3337	C₂×C₁₇	1	1	yes	characteristic, complemented
782	#3317	C₂×C₁₇	1	1	yes	characteristic, complemented
783	#3316	C₂×C₁₇	1	1	yes	characteristic, complemented
784	#3309	C₂×C₁₇	1	1	yes	characteristic, complemented
785	#3308	C₂×C₁₇	1	1	yes	characteristic, complemented
786	#3301	C₂×C₁₇	1	1	yes	characteristic, complemented
787	#3300	C₂×C₁₇	1	1	yes	characteristic, complemented
788	#3256	C₂×C₁₇	1	1	yes	characteristic, complemented
789	#3250	C₂×C₁₇	1	1	yes	characteristic, complemented
790	#3247	C₂×C₁₇	1	1	yes	characteristic, complemented
791	#3240	C₂×C₁₇	1	1	yes	characteristic, complemented
792	#3234	C₂×C₁₇	1	1	yes	characteristic, complemented
793	#3232	C₂×C₁₇	1	1	yes	characteristic, complemented
794	#3117	C₂×C₁₇	1	1	yes	characteristic, complemented
795	#3111	C₂×C₁₇	1	1	yes	characteristic, complemented
796	#3102	C₂×C₁₇	1	1	yes	characteristic, complemented
797	#3080	C₂×C₁₇	1	1	yes	characteristic, complemented
798	#3076	C₂×C₁₇	1	1	yes	characteristic, complemented
799	C₂×#479	C₂×C₁₇	1	1	yes	characteristic, complemented
800	#2990	C₂×C₁₇	1	1	yes	characteristic, complemented
801	C₂²×C₁₇	—	2	1	no	—
802	C₂²×C₁₇	—	2	1	no	—
803	C₂²×C₁₇	—	2	1	no	—
804	C₂²×C₁₇	—	2	1	no	—
805	C₂²×C₁₇	—	2	1	no	—
806	C₂²×C₁₇	—	2	1	no	—
807	C₂²×C₁₇	—	2	1	no	—
808	C₂²×C₁₇	—	2	1	no	—
809	C₂²×C₁₇	—	4	1	no	—
810	C₂²×C₁₇	—	4	1	no	—
811	C₂²×C₁₇	—	4	1	no	—
812	C₂²×C₁₇	—	4	1	no	—
813	C₂²×C₁₇	—	4	1	no	—
814	C₂²×C₁₇	—	4	1	no	—
815	C₂²×C₁₇	—	4	1	no	—
816	C₂²×C₁₇	—	4	1	no	—
817	C₂²×C₁₇	—	4	1	no	—
818	C₂²×C₁₇	#575	1	2	yes	—
819	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
820	C₄×C₁₇	—	2	1	no	—
821	C₄×C₁₇	—	2	1	no	—
822	C₄×C₁₇	—	2	1	no	—
823	C₄×C₁₇	—	2	1	no	—
824	C₄×C₁₇	—	2	1	no	—
825	C₄×C₁₇	—	2	1	no	—
826	C₄×C₁₇	—	2	1	no	—
827	C₄×C₁₇	—	2	2	no	—
828	C₄×C₁₇	—	2	1	no	—
829	C₄×C₁₇	—	2	1	no	—
830	C₄×C₁₇	—	2	1	no	—
831	C₄×C₁₇	—	2	1	no	—
832	C₄×C₁₇	—	4	1	no	—
833	C₄×C₁₇	—	4	1	no	—
834	C₄×C₁₇	—	4	1	no	—
835	C₄×C₁₇	—	4	1	no	—
836	C₄×C₁₇	—	4	1	no	—
837	C₄×C₁₇	—	4	1	no	—
838	C₄×C₁₇	—	4	1	no	—
839	C₄×C₁₇	—	4	1	no	—
840	C₄×C₁₇	—	4	1	no	—
841	C₄×C₁₇	—	4	1	no	—
842	C₄×C₁₇	—	4	1	no	—
843	C₄×C₁₇	—	4	1	no	—
844	C₄×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
845	C₄×C₁₇	#585	1	1	yes	characteristic
846	#559	—	2	1	no	—
847	#559	C₂²×C₁₇	1	1	yes	characteristic
848	#557	C₂²×C₁₇	1	1	yes	characteristic
849	#557	C₂²×C₁₇	1	1	yes	characteristic
850	#556	—	2	1	no	—
851	#556	C₂²×C₁₇	1	1	yes	characteristic
852	#554	C₂²×C₁₇	1	1	yes	characteristic
853	#554	C₂²×C₁₇	1	1	yes	characteristic
854	#553	—	2	1	no	—
855	#553	—	2	1	no	—
856	#553	C₂²×C₁₇	1	1	yes	characteristic
857	#553	C₂²×C₁₇	1	1	yes	characteristic
858	#553	C₂²×C₁₇	1	1	yes	characteristic
859	#553	C₂²×C₁₇	1	1	yes	characteristic
860	#552	—	2	1	no	—
861	#552	—	2	1	no	—
862	#552	—	2	1	no	—
863	#552	C₂²×C₁₇	1	1	yes	characteristic
864	#552	C₂²×C₁₇	1	1	yes	characteristic
865	#550	C₂²×C₁₇	1	1	yes	characteristic
866	#548	C₂²×C₁₇	1	1	yes	characteristic
867	#548	C₂²×C₁₇	1	1	yes	characteristic
868	#547	—	2	1	no	—
869	#547	C₂²×C₁₇	1	1	yes	characteristic
870	#541	—	2	1	no	—
871	#539	—	2	1	no	—
872	#539	—	2	1	no	—
873	#533	C₂²×C₁₇	1	1	yes	characteristic
874	#532	—	2	1	no	—
875	#532	C₂²×C₁₇	1	1	yes	characteristic
876	#529	—	2	1	no	—
877	#529	—	2	1	no	—
878	#529	C₂²×C₁₇	1	1	yes	characteristic
879	#529	C₂²×C₁₇	1	1	yes	characteristic
880	#529	C₂²×C₁₇	1	1	yes	characteristic
881	#529	C₂²×C₁₇	1	1	yes	characteristic
882	#529	C₂²×C₁₇	1	1	yes	characteristic
883	C₂×#125	C₂²×C₁₇	1	1	yes	characteristic
884	C₂×#125	C₂²×C₁₇	1	1	yes	characteristic
885	#520	—	2	1	no	—
886	C₄×#41	—	2	1	no	—
887	C₄×#41	C₂²×C₁₇	1	1	yes	characteristic
888	C₄×#41	C₂²×C₁₇	1	1	yes	characteristic
889	C₄×#41	C₂²×C₁₇	1	1	yes	characteristic
890	C₂×C₄×Q₈	C₂²×C₁₇	1	1	yes	characteristic
891	#501	C₂²×C₁₇	1	1	yes	characteristic
892	#501	C₂²×C₁₇	1	1	yes	characteristic
893	#501	C₂²×C₁₇	1	1	yes	characteristic
894	#501	C₂²×C₁₇	1	1	yes	characteristic
895	#499	C₂²×C₁₇	1	1	yes	characteristic
896	#499	C₂²×C₁₇	1	1	yes	characteristic
897	#490	C₂²×C₁₇	1	1	yes	characteristic
898	#490	C₂²×C₁₇	1	1	yes	characteristic
899	#489	C₂²×C₁₇	1	1	yes	characteristic
900	#489	C₂²×C₁₇	1	1	yes	characteristic
901	#488	C₂²×C₁₇	1	1	yes	characteristic
902	#488	C₂²×C₁₇	1	1	yes	characteristic
903	#485	C₂²×C₁₇	1	1	yes	characteristic
904	#485	C₂²×C₁₇	1	1	yes	characteristic
905	#485	C₂²×C₁₇	1	1	yes	characteristic
906	#485	C₂²×C₁₇	1	1	yes	characteristic
907	#484	C₂²×C₁₇	1	1	yes	characteristic
908	#484	C₂²×C₁₇	1	1	yes	characteristic
909	#483	C₂²×C₁₇	1	1	yes	characteristic
910	#482	C₂²×C₁₇	1	1	yes	characteristic
911	#482	C₂²×C₁₇	1	1	yes	characteristic
912	#482	C₂²×C₁₇	1	1	yes	characteristic
913	#482	C₂²×C₁₇	1	1	yes	characteristic
914	#481	C₂²×C₁₇	1	1	yes	characteristic
915	#481	C₂²×C₁₇	1	1	yes	characteristic
916	#481	C₂²×C₁₇	1	1	yes	characteristic
917	#481	C₂²×C₁₇	1	1	yes	characteristic
918	#480	C₂²×C₁₇	1	1	yes	characteristic
919	#480	C₂²×C₁₇	1	1	yes	characteristic
920	#480	C₂²×C₁₇	1	1	yes	characteristic
921	#479	C₂²×C₁₇	1	1	yes	characteristic
922	#479	C₂²×C₁₇	1	1	yes	characteristic
923	#479	C₂²×C₁₇	1	1	yes	characteristic
924	#479	C₂²×C₁₇	1	1	yes	characteristic
925	#479	C₂²×C₁₇	1	1	yes	characteristic
926	#479	C₂²×C₁₇	1	1	yes	characteristic
927	#479	C₂²×C₁₇	1	1	yes	characteristic
928	#479	C₂²×C₁₇	1	1	yes	characteristic
929	#479	C₂²×C₁₇	1	1	yes	characteristic
930	#479	C₂²×C₁₇	1	1	yes	characteristic
931	#479	C₂²×C₁₇	1	1	yes	characteristic
932	#479	C₂²×C₁₇	1	1	yes	characteristic
933	#479	C₂²×C₁₇	1	1	yes	characteristic
934	#479	C₂²×C₁₇	1	1	yes	characteristic
935	#478	C₂²×C₁₇	1	1	yes	characteristic
936	#478	C₂²×C₁₇	1	1	yes	characteristic
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
941	#478	C₂²×C₁₇	1	1	yes	characteristic
942	#478	C₂²×C₁₇	1	1	yes	characteristic
943	#478	C₂²×C₁₇	1	1	yes	characteristic
944	#478	C₂²×C₁₇	1	1	yes	characteristic
945	#477	C₂²×C₁₇	1	1	yes	characteristic
946	#477	C₂²×C₁₇	1	1	yes	characteristic
947	#476	C₂²×C₁₇	1	1	yes	characteristic
948	#476	C₂²×C₁₇	1	1	yes	characteristic
949	#475	C₂²×C₁₇	1	1	yes	characteristic
950	#474	C₂²×C₁₇	1	1	yes	characteristic
951	#470	C₂²×C₁₇	1	1	yes	characteristic
952	#469	C₂²×C₁₇	1	1	yes	characteristic
953	#468	C₂²×C₁₇	1	1	yes	characteristic
954	#468	C₂²×C₁₇	1	1	yes	characteristic
955	#467	C₂²×C₁₇	1	1	yes	characteristic
956	#466	C₂²×C₁₇	1	1	yes	characteristic
957	#466	C₂²×C₁₇	1	1	yes	characteristic
958	#466	C₂²×C₁₇	1	1	yes	characteristic
959	#465	C₂²×C₁₇	1	1	yes	characteristic
960	#465	C₂²×C₁₇	1	1	yes	characteristic
961	#465	C₂²×C₁₇	1	1	yes	characteristic
962	#465	C₂²×C₁₇	1	1	yes	characteristic
963	#464	C₂²×C₁₇	1	1	yes	characteristic
964	#464	C₂²×C₁₇	1	1	yes	characteristic
965	#464	C₂²×C₁₇	1	1	yes	characteristic
966	#464	C₂²×C₁₇	1	1	yes	characteristic
967	#463	C₂²×C₁₇	1	1	yes	characteristic
968	#463	C₂²×C₁₇	1	1	yes	characteristic
969	#463	C₂²×C₁₇	1	1	yes	characteristic
970	#463	C₂²×C₁₇	1	1	yes	characteristic
971	#460	C₂²×C₁₇	1	1	yes	characteristic
972	#459	C₂²×C₁₇	1	1	yes	characteristic
973	#452	C₂²×C₁₇	1	1	yes	characteristic
974	#452	C₂²×C₁₇	1	1	yes	characteristic
975	#451	C₂²×C₁₇	1	1	yes	characteristic
976	#449	C₂²×C₁₇	1	1	yes	characteristic
977	#449	C₂²×C₁₇	1	1	yes	characteristic
978	#448	C₂²×C₁₇	1	1	yes	characteristic
979	#446	C₂²×C₁₇	1	1	yes	characteristic
980	#446	C₂²×C₁₇	1	1	yes	characteristic
981	#442	C₂²×C₁₇	1	1	yes	characteristic
982	#441	C₂²×C₁₇	1	1	yes	characteristic
983	#441	C₂²×C₁₇	1	1	yes	characteristic
984	#441	C₂²×C₁₇	1	1	yes	characteristic
985	#440	C₂²×C₁₇	1	1	yes	characteristic
986	#440	C₂²×C₁₇	1	1	yes	characteristic
987	#440	C₂²×C₁₇	1	1	yes	characteristic
988	#440	C₂²×C₁₇	1	1	yes	characteristic
989	C₄×Q₁₆	C₂²×C₁₇	1	1	yes	characteristic
990	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
991	C₄×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
992	C₄×D₈	C₂²×C₁₇	1	1	yes	characteristic
993	#435	C₂²×C₁₇	1	1	yes	characteristic
994	#435	C₂²×C₁₇	1	1	yes	characteristic
995	#435	C₂²×C₁₇	1	1	yes	characteristic
996	#435	C₂²×C₁₇	1	1	yes	characteristic
997	C₈×D₄	C₂²×C₁₇	1	1	yes	characteristic
998	C₈×D₄	C₂²×C₁₇	1	1	yes	characteristic
999	#432	C₂²×C₁₇	1	1	yes	characteristic
1000	#432	C₂²×C₁₇	1	1	yes	characteristic
1001	#431	C₂²×C₁₇	1	1	yes	characteristic
1002	#428	C₂²×C₁₇	1	1	yes	characteristic
1003	#428	C₂²×C₁₇	1	1	yes	characteristic
1004	#427	C₂²×C₁₇	1	1	yes	characteristic
1005	#427	C₂²×C₁₇	1	1	yes	characteristic
1006	C₂×#107	C₂²×C₁₇	1	1	yes	characteristic
1007	C₂×#106	C₂²×C₁₇	1	1	yes	characteristic
1008	#423	C₂²×C₁₇	1	1	yes	characteristic
1009	C₂×C₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
1010	C₂×C₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
1011	#417	C₂²×C₁₇	1	1	yes	characteristic
1012	#417	C₂²×C₁₇	1	1	yes	characteristic
1013	#416	C₂²×C₁₇	1	1	yes	characteristic
1014	#416	C₂²×C₁₇	1	1	yes	characteristic
1015	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
1016	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
1017	C₂×C₁₇	—	2	2	no	—
1018	C₂×C₁₇	—	4	1	no	—
1019	C₂×C₁₇	—	4	1	no	—
1020	C₂×C₁₇	—	8	1	no	—
1021	C₂×C₁₇	—	8	1	no	—
1022	C₂×C₁₇	—	8	1	no	—
1023	C₂×C₁₇	#3489	1	1	yes	characteristic
1024	C₂×C₁₇	C₂×#575	1	1	yes	characteristic
1025	C₂×C₁₇	#3584	1	1	yes	characteristic
1026	C₂×#41	—	2	1	no	—
1027	C₂×#41	—	2	1	no	—
1028	C₂×#41	D₄×C₁₇	1	1	yes	characteristic
1029	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
1030	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
1031	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1032	C₂×Q₁₆	C₂³×C₁₇	1	1	yes	characteristic
1033	C₂×Q₁₆	C₂³×C₁₇	1	1	yes	characteristic
1034	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1035	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1036	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1037	C₂×SD₁₆	C₂³×C₁₇	1	1	yes	characteristic
1038	C₂×D₈	C₂³×C₁₇	1	1	yes	characteristic
1039	C₂×D₈	C₂³×C₁₇	1	1	yes	characteristic
1040	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
1041	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
1042	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
1043	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
1044	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
1045	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
1046	C₄⋊Q₈	—	2	1	no	—
1047	C₄⋊Q₈	—	2	1	no	—
1048	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1049	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1050	C₄⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1051	#127	—	2	1	no	—
1052	#127	C₂³×C₁₇	1	1	yes	characteristic
1053	#126	—	2	1	no	—
1054	#126	—	2	1	no	—
1055	#126	—	2	1	no	—
1056	#126	—	2	1	no	—
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	—	2	1	no	—
1061	#126	—	2	1	no	—
1062	#126	—	2	1	no	—
1063	#126	—	2	1	no	—
1064	#126	—	2	1	no	—
1065	#126	—	2	1	no	—
1066	#125	—	2	1	no	—
1067	#125	—	2	1	no	—
1068	#125	—	2	1	no	—
1069	#125	—	2	1	no	—
1070	#125	—	2	1	no	—
1071	#125	—	2	1	no	—
1072	#125	—	2	1	no	—
1073	#125	—	2	1	no	—
1074	#125	—	2	1	no	—
1075	#125	—	2	1	no	—
1076	#125	—	2	1	no	—
1077	#125	C₂³×C₁₇	1	1	yes	characteristic
1078	#125	C₂³×C₁₇	1	1	yes	characteristic
1079	#125	C₂³×C₁₇	1	1	yes	characteristic
1080	#125	C₂³×C₁₇	1	1	yes	characteristic
1081	#125	C₂³×C₁₇	1	1	yes	characteristic
1082	#125	C₂³×C₁₇	1	1	yes	characteristic
1083	#125	C₂³×C₁₇	1	1	yes	characteristic
1084	#125	C₂³×C₁₇	1	1	yes	characteristic
1085	#125	C₂³×C₁₇	1	1	yes	characteristic
1086	#124	—	2	1	no	—
1087	#124	—	2	1	no	—
1088	#124	—	2	1	no	—
1089	#124	—	2	1	no	—
1090	#124	—	2	1	no	—
1091	#124	C₂³×C₁₇	1	1	yes	characteristic
1092	#124	C₂³×C₁₇	1	1	yes	characteristic
1093	#124	C₂³×C₁₇	1	1	yes	characteristic
1094	#123	—	2	1	no	—
1095	#123	—	2	1	no	—
1096	#123	—	2	1	no	—
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	#123	—	2	1	no	—
1100	#123	—	2	1	no	—
1101	#123	—	2	1	no	—
1102	#123	—	2	1	no	—
1103	#123	—	2	1	no	—
1104	#123	—	2	1	no	—
1105	#123	—	2	1	no	—
1106	#123	—	2	1	no	—
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	C₂²⋊Q₈	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	—	2	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	2	1	no	—
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	—	2	1	no	—
1117	C₂²⋊Q₈	—	2	1	no	—
1118	C₂²⋊Q₈	—	2	1	no	—
1119	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1120	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1121	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1122	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1123	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
1124	#121	—	2	1	no	—
1125	#121	—	2	1	no	—
1126	#121	—	2	1	no	—
1127	#121	—	2	1	no	—
1128	#121	—	2	1	no	—
1129	#121	—	2	1	no	—
1130	#121	—	2	1	no	—
1131	#121	—	2	1	no	—
1132	#121	—	2	1	no	—
1133	#121	C₂³×C₁₇	1	1	yes	characteristic
1134	#121	C₂³×C₁₇	1	1	yes	characteristic
1135	#121	C₂³×C₁₇	1	1	yes	characteristic
1136	#121	C₂³×C₁₇	1	1	yes	characteristic
1137	#121	C₂³×C₁₇	1	1	yes	characteristic
1138	#121	C₂³×C₁₇	1	1	yes	characteristic
1139	#121	C₂³×C₁₇	1	1	yes	characteristic
1140	C₄×Q₈	—	2	1	no	—
1141	C₄×Q₈	—	2	1	no	—
1142	C₄×Q₈	—	2	1	no	—
1143	C₄×Q₈	—	2	1	no	—
1144	C₄×Q₈	—	2	1	no	—
1145	C₄×Q₈	—	2	1	no	—
1146	C₄×Q₈	—	2	1	no	—
1147	C₄×Q₈	D₄×C₁₇	1	1	yes	characteristic
1148	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1149	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1150	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1151	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1152	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1153	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1154	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1155	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1156	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1157	C₄×Q₈	C₂³×C₁₇	1	1	yes	characteristic
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	2	1	no	—
1161	C₄×D₄	—	2	1	no	—
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
1164	C₄×D₄	—	2	1	no	—
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	—	2	1	no	—
1167	C₄×D₄	—	2	1	no	—
1168	C₄×D₄	—	2	1	no	—
1169	C₄×D₄	—	2	1	no	—
1170	C₄×D₄	—	2	1	no	—
1171	C₄×D₄	—	2	1	no	—
1172	C₄×D₄	—	2	1	no	—
1173	C₄×D₄	—	2	1	no	—
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	2	1	no	—
1176	C₄×D₄	—	2	1	no	—
1177	C₄×D₄	D₄×C₁₇	1	1	yes	characteristic
1178	C₄×D₄	D₄×C₁₇	1	1	yes	characteristic
1179	C₄×D₄	D₄×C₁₇	1	1	yes	characteristic
1180	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1181	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1182	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1183	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1184	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1185	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1186	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1187	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1188	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1189	C₄×D₄	C₂³×C₁₇	1	1	yes	characteristic
1190	#117	—	2	1	no	—
1191	#117	—	2	1	no	—
1192	#117	—	2	1	no	—
1193	#117	—	2	1	no	—
1194	#117	—	2	1	no	—
1195	#117	—	2	1	no	—
1196	#117	—	2	1	no	—
1197	#117	—	2	1	no	—
1198	#117	—	2	1	no	—
1199	#117	D₄×C₁₇	1	1	yes	characteristic
1200	#117	D₄×C₁₇	1	1	yes	characteristic
1201	#117	D₄×C₁₇	1	1	yes	characteristic
1202	#117	C₂³×C₁₇	1	1	yes	characteristic
1203	#117	C₂³×C₁₇	1	1	yes	characteristic
1204	#117	C₂³×C₁₇	1	1	yes	characteristic
1205	#117	C₂³×C₁₇	1	1	yes	characteristic
1206	C₂×C₄⋊C₄	—	2	1	no	—
1207	C₂×C₄⋊C₄	—	2	1	no	—
1208	C₂×C₄⋊C₄	—	2	1	no	—
1209	C₂×C₄⋊C₄	—	2	1	no	—
1210	C₂×C₄⋊C₄	—	2	1	no	—
1211	C₂×C₄⋊C₄	—	2	1	no	—
1212	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1216	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1217	C₂×C₄²	—	2	1	no	—
1218	C₂×C₄²	—	2	1	no	—
1219	C₂×C₄²	—	2	1	no	—
1220	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1221	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1222	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1223	#107	C₂³×C₁₇	1	1	yes	characteristic
1224	#107	C₂³×C₁₇	1	1	yes	characteristic
1225	#107	C₂³×C₁₇	1	1	yes	characteristic
1226	#107	C₂³×C₁₇	1	1	yes	characteristic
1227	#107	C₂³×C₁₇	1	1	yes	characteristic
1228	#107	C₂³×C₁₇	1	1	yes	characteristic
1229	#107	C₂³×C₁₇	1	1	yes	characteristic
1230	#107	C₂³×C₁₇	1	1	yes	characteristic
1231	#107	C₂³×C₁₇	1	1	yes	characteristic
1232	#107	C₂³×C₁₇	1	1	yes	characteristic
1233	#107	C₂³×C₁₇	1	1	yes	characteristic
1234	#107	C₂³×C₁₇	1	1	yes	characteristic
1235	#106	C₂³×C₁₇	1	1	yes	characteristic
1236	#106	C₂³×C₁₇	1	1	yes	characteristic
1237	#106	C₂³×C₁₇	1	1	yes	characteristic
1238	#106	C₂³×C₁₇	1	1	yes	characteristic
1239	#106	C₂³×C₁₇	1	1	yes	characteristic
1240	#106	C₂³×C₁₇	1	1	yes	characteristic
1241	#106	C₂³×C₁₇	1	1	yes	characteristic
1242	#106	C₂³×C₁₇	1	1	yes	characteristic
1243	#106	C₂³×C₁₇	1	1	yes	characteristic
1244	#106	C₂³×C₁₇	1	1	yes	characteristic
1245	#106	C₂³×C₁₇	1	1	yes	characteristic
1246	#106	C₂³×C₁₇	1	1	yes	characteristic
1247	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1249	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1257	#103	C₂³×C₁₇	1	1	yes	characteristic
1258	#103	C₂³×C₁₇	1	1	yes	characteristic
1259	#103	C₂³×C₁₇	1	1	yes	characteristic
1260	#103	C₂³×C₁₇	1	1	yes	characteristic
1261	#103	C₂³×C₁₇	1	1	yes	characteristic
1262	#103	C₂³×C₁₇	1	1	yes	characteristic
1263	#103	C₂³×C₁₇	1	1	yes	characteristic
1264	#103	C₂³×C₁₇	1	1	yes	characteristic
1265	#103	C₂³×C₁₇	1	1	yes	characteristic
1266	#103	C₂³×C₁₇	1	1	yes	characteristic
1267	#103	C₂³×C₁₇	1	1	yes	characteristic
1268	#103	C₂³×C₁₇	1	1	yes	characteristic
1269	#103	C₂³×C₁₇	1	1	yes	characteristic
1270	#103	C₂³×C₁₇	1	1	yes	characteristic
1271	#103	C₂³×C₁₇	1	1	yes	characteristic
1272	#103	C₂³×C₁₇	1	1	yes	characteristic
1273	#102	C₂³×C₁₇	1	1	yes	characteristic
1274	#102	C₂³×C₁₇	1	1	yes	characteristic
1275	#102	C₂³×C₁₇	1	1	yes	characteristic
1276	#102	C₂³×C₁₇	1	1	yes	characteristic
1277	#102	C₂³×C₁₇	1	1	yes	characteristic
1278	#102	C₂³×C₁₇	1	1	yes	characteristic
1279	#102	C₂³×C₁₇	1	1	yes	characteristic
1280	#102	C₂³×C₁₇	1	1	yes	characteristic
1281	#102	C₂³×C₁₇	1	1	yes	characteristic
1282	#102	C₂³×C₁₇	1	1	yes	characteristic
1283	#102	C₂³×C₁₇	1	1	yes	characteristic
1284	#102	C₂³×C₁₇	1	1	yes	characteristic
1285	#102	C₂³×C₁₇	1	1	yes	characteristic
1286	#102	C₂³×C₁₇	1	1	yes	characteristic
1287	#102	C₂³×C₁₇	1	1	yes	characteristic
1288	#102	C₂³×C₁₇	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1294	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
1295	#97	C₂³×C₁₇	1	1	yes	characteristic
1296	#97	C₂³×C₁₇	1	1	yes	characteristic
1297	#97	C₂³×C₁₇	1	1	yes	characteristic
1298	#97	C₂³×C₁₇	1	1	yes	characteristic
1299	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
1300	C₄×C₈	C₂³×C₁₇	1	1	yes	characteristic
1301	C₁₇	#62140	1	1	yes	characteristic, direct product factor, Sylow
1302	#41	—	2	2	no	—
1303	#41	—	2	2	no	—
1304	#41	—	4	2	no	—
1305	#41	—	4	1	no	—
1306	#41	—	4	1	no	—
1307	#41	—	4	4	no	—
1308	#41	—	4	4	no	—
1309	C₂×Q₈	—	2	1	no	—
1310	C₂×Q₈	—	2	1	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	—	2	1	no	—
1313	C₂×Q₈	—	2	2	no	—
1314	C₂×Q₈	—	4	1	no	—
1315	C₂×Q₈	C₂×D₄×C₁₇	1	1	yes	characteristic
1316	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
1317	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
1318	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
1319	C₂×D₄	—	2	1	no	—
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1331	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1332	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1333	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
1334	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
1335	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1352	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1353	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1354	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1355	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1356	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1360	Q₁₆	—	2	2	no	—
1361	Q₁₆	—	4	1	no	—
1362	SD₁₆	—	2	2	no	—
1363	SD₁₆	—	4	1	no	—
1364	SD₁₆	—	4	1	no	—
1365	SD₁₆	—	4	1	no	—
1366	D₈	—	4	1	no	—
1367	D₈	—	4	1	no	—
1368	M₁₆	—	4	1	no	—
1369	M₁₆	—	4	1	no	—
1370	C₂×C₈	—	4	1	no	—
1371	C₂×C₈	—	4	1	no	—
1372	C₂×C₈	—	4	1	no	—
1373	C₂×C₈	—	4	1	no	—
1374	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1375	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1376	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1377	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1379	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1380	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1381	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₇	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1428	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1429	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1430	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1432	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1433	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1434	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1435	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1468	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1469	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1487	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1488	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1489	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1490	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1491	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
1492	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1493	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1494	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1495	C₄²	C₂⁴×C₁₇	1	1	yes	characteristic
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1500	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1501	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1502	Q₈	—	2	1	no	—
1503	Q₈	—	2	1	no	—
1504	Q₈	—	2	1	no	—
1505	Q₈	—	2	1	no	—
1506	Q₈	—	2	1	no	—
1507	Q₈	—	4	1	no	—
1508	Q₈	—	4	2	no	—
1509	Q₈	—	4	2	no	—
1510	Q₈	—	4	2	no	—
1511	Q₈	—	8	1	no	—
1512	Q₈	C₁₇×2₋¹⁺⁴	1	2	yes	—
1513	D₄	—	2	2	no	—
1514	D₄	—	2	2	no	—
1515	D₄	—	2	1	no	—
1516	D₄	—	2	1	no	—
1517	D₄	—	2	1	no	—
1518	D₄	—	2	1	no	—
1519	D₄	—	2	1	no	—
1520	D₄	—	2	1	no	—
1521	D₄	—	4	1	no	—
1522	D₄	—	4	2	no	—
1523	D₄	—	4	2	no	—
1524	D₄	—	4	2	no	—
1525	D₄	—	4	2	no	—
1526	D₄	—	4	2	no	—
1527	D₄	—	4	2	no	—
1528	D₄	—	4	2	no	—
1529	D₄	—	8	1	no	—
1530	D₄	—	8	1	no	—
1531	D₄	—	8	1	no	—
1532	D₄	—	8	1	no	—
1533	C₂×C₄	—	2	2	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	4	1	no	—
1554	C₂×C₄	—	4	1	no	—
1555	C₂×C₄	—	4	1	no	—
1556	C₂×C₄	—	4	1	no	—
1557	C₂×C₄	—	4	1	no	—
1558	C₂×C₄	—	4	2	no	—
1559	C₂×C₄	—	4	2	no	—
1560	C₂×C₄	—	4	2	no	—
1561	C₂×C₄	—	4	2	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	4	2	no	—
1564	C₂×C₄	—	4	2	no	—
1565	C₂×C₄	—	4	2	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1574	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1575	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1576	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1577	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1578	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1579	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1580	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1581	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1582	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1583	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1584	C₂×C₄	C₂⁵×C₁₇	1	1	yes	characteristic
1585	C₈	—	2	1	no	—
1586	C₈	—	2	1	no	—
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	C₁₇×#575	1	2	yes	—
1611	C₂²	C₂³×D₄×C₁₇	1	1	yes	characteristic
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	2	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	2	1	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	C₂×C₁₇×2₋¹⁺⁴	1	1	yes	characteristic
1637	C₄	C₁₇×#585	1	1	yes	characteristic
1638	C₂	—	2	2	no	—
1639	C₂	—	4	1	no	—
1640	C₂	—	4	1	no	—
1641	C₂	—	8	1	no	—
1642	C₂	—	8	1	no	—
1643	C₂	—	8	1	no	—
1644	C₂	C₁₇×#3489	1	1	yes	characteristic
1645	C₂	C₂×C₁₇×#575	1	1	yes	characteristic
1646	C₂	C₁₇×#3584	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 ◁ C₄×#41×C₁₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₇×#3515	C₂	semidirect
2. C₁₇×#3480	C₂	semidirect
3. C₁₇×#3390	C₂	semidirect
4. C₁₇×#3388	C₂	semidirect
5. C₁₇×#3371	C₂	semidirect
6. C₁₇×#3370	C₂	semidirect
7. C₁₇×#3350	C₂	semidirect
8. C₁₇×#3349	C₂	semidirect
9. C₁₇×#3346	C₂	semidirect
10. C₁₇×#3345	C₂	semidirect
11. C₁₇×#3339	C₂	semidirect
12. C₁₇×#3337	C₂	semidirect
13. C₁₇×#3317	C₂	semidirect
14. C₁₇×#3316	C₂	semidirect
15. C₁₇×#3309	C₂	semidirect
16. C₁₇×#3308	C₂	semidirect
17. C₁₇×#3301	C₂	semidirect
18. C₁₇×#3300	C₂	semidirect
19. C₁₇×#3256	C₂	semidirect
20. C₁₇×#3250	C₂	semidirect
21. C₁₇×#3247	C₂	semidirect
22. C₁₇×#3240	C₂	semidirect
23. C₁₇×#3234	C₂	semidirect
24. C₁₇×#3232	C₂	semidirect
25. C₁₇×#3117	C₂	semidirect
26. C₁₇×#3111	C₂	semidirect
27. C₁₇×#3102	C₂	semidirect
28. C₁₇×#3080	C₂	semidirect
29. C₁₇×#3076	C₂	semidirect
30. C₂×C₁₇×#479	C₂	semidirect
31. C₁₇×#2990	C₂	semidirect
672. #62140	C₁₇	direct (N × H)
770. #3515	C₂×C₁₇	semidirect
771. #3480	C₂×C₁₇	semidirect
772. #3390	C₂×C₁₇	semidirect
773. #3388	C₂×C₁₇	semidirect
774. #3371	C₂×C₁₇	semidirect
775. #3370	C₂×C₁₇	semidirect
776. #3350	C₂×C₁₇	semidirect
777. #3349	C₂×C₁₇	semidirect
778. #3346	C₂×C₁₇	semidirect
779. #3345	C₂×C₁₇	semidirect
780. #3339	C₂×C₁₇	semidirect
781. #3337	C₂×C₁₇	semidirect
782. #3317	C₂×C₁₇	semidirect
783. #3316	C₂×C₁₇	semidirect
784. #3309	C₂×C₁₇	semidirect
785. #3308	C₂×C₁₇	semidirect
786. #3301	C₂×C₁₇	semidirect
787. #3300	C₂×C₁₇	semidirect
788. #3256	C₂×C₁₇	semidirect
789. #3250	C₂×C₁₇	semidirect
790. #3247	C₂×C₁₇	semidirect
791. #3240	C₂×C₁₇	semidirect
792. #3234	C₂×C₁₇	semidirect
793. #3232	C₂×C₁₇	semidirect
794. #3117	C₂×C₁₇	semidirect
795. #3111	C₂×C₁₇	semidirect
796. #3102	C₂×C₁₇	semidirect
797. #3080	C₂×C₁₇	semidirect
798. #3076	C₂×C₁₇	semidirect
799. C₂×#479	C₂×C₁₇	semidirect
800. #2990	C₂×C₁₇	semidirect
1301. C₁₇	#62140	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×#3515	2
C₁₇×#3480	2
C₁₇×#3390	2
C₁₇×#3388	2
C₁₇×#3371	2
C₁₇×#3370	2
C₁₇×#3350	2
C₁₇×#3349	2
C₁₇×#3346	2
C₁₇×#3345	2
C₁₇×#3339	2
C₁₇×#3337	2
C₁₇×#3317	2
C₁₇×#3316	2
C₁₇×#3309	2
C₁₇×#3308	2
C₁₇×#3301	2
C₁₇×#3300	2
C₁₇×#3256	2
C₁₇×#3250	2
C₁₇×#3247	2
C₁₇×#3240	2
C₁₇×#3234	2
C₁₇×#3232	2
C₁₇×#3117	2
C₁₇×#3111	2
C₁₇×#3102	2
C₁₇×#3080	2
C₁₇×#3076	2
C₂×C₁₇×#479	2
C₁₇×#2990	2
#62140	17

Subgroups — C17×#62140 #16919884

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#62140 #16919884