Subgroups — C₁₇×#61190 #16918934

Order 4352.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1222 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₇×#3487	C₂	1	1	yes	maximal, characteristic
3	C₁₇×#3333	C₂	1	2	yes	maximal, complemented
4	C₁₇×#3327	C₂	1	2	yes	maximal, complemented
5	C₁₇×#3317	C₂	1	2	yes	maximal, complemented
6	C₁₇×#3317	C₂	1	2	yes	maximal, complemented
7	C₁₇×#3316	C₂	1	2	yes	maximal, complemented
8	C₁₇×#3313	C₂	1	2	yes	maximal, complemented
9	C₁₇×#3304	C₂	1	2	yes	maximal, complemented
10	C₁₇×#3300	C₂	1	2	yes	maximal, complemented
11	C₁₇×#3136	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#3096	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#3091	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#3082	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#3057	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₇×#3056	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₇×#3043	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₇×#3011	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₇×#452	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₇×#2950	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₇×#2933	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₇×#2898	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₇×#2896	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₇×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂²×#41×C₁₇	C₂²	1	1	yes	characteristic
26	C₂×C₁₇×#137	C₂²	1	1	yes	characteristic
27	C₂²×Q₁₆×C₁₇	C₂²	1	1	yes	characteristic
28	C₂²×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
29	C₂×C₁₇×#131	C₂²	1	1	yes	characteristic
30	C₂²×M₁₆×C₁₇	C₂²	1	1	yes	characteristic
31	C₁₇×#556	C₂²	1	2	yes	complemented
32	C₁₇×#554	C₂²	1	2	yes	complemented
33	C₁₇×#552	—	2	2	no	—
34	C₁₇×#552	C₂²	1	2	yes	complemented
35	C₁₇×#552	C₂²	1	2	yes	complemented
36	C₁₇×#551	—	2	2	no	—
37	C₁₇×#550	—	2	1	no	—
38	C₁₇×#550	—	2	1	no	—
39	C₁₇×#550	C₂²	1	2	yes	—
40	C₁₇×#550	C₂²	1	2	yes	—
41	C₁₇×#548	—	2	1	no	—
42	C₁₇×#548	—	2	1	no	—
43	C₁₇×#548	C₂²	1	2	yes	—
44	C₁₇×#548	C₂²	1	2	yes	—
45	C₁₇×#544	C₂²	1	1	yes	characteristic
46	C₁₇×#542	—	2	1	no	—
47	C₁₇×#541	—	2	1	no	—
48	C₁₇×#536	C₂²	1	1	yes	characteristic
49	C₁₇×#535	—	2	2	no	—
50	C₁₇×#535	C₂²	1	1	yes	characteristic
51	C₁₇×#535	C₂²	1	1	yes	characteristic
52	C₁₇×#533	—	2	1	no	—
53	C₁₇×#529	—	2	1	no	—
54	C₁₇×#525	—	2	2	no	—
55	C₁₇×#525	C₂²	1	1	yes	characteristic
56	C₁₇×#525	C₂²	1	1	yes	characteristic
57	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	C₁₇×#520	C₂²	1	1	yes	characteristic
59	C₁₇×#519	C₂²	1	1	yes	characteristic
60	C₁₇×#519	C₂²	1	1	yes	characteristic
61	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic
62	C₁₇×#490	C₂²	1	2	yes	complemented
63	C₁₇×#489	C₂²	1	2	yes	complemented
64	C₁₇×#488	C₂²	1	2	yes	complemented
65	C₁₇×#486	C₂²	1	2	yes	complemented
66	C₁₇×#485	C₂²	1	1	yes	characteristic, complemented
67	C₁₇×#485	C₂²	1	1	yes	characteristic, complemented
68	C₁₇×#484	C₂²	1	1	yes	characteristic, complemented
69	C₁₇×#483	C₂²	1	1	yes	characteristic, complemented
70	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
71	C₁₇×#482	C₂²	1	2	yes	complemented
72	C₁₇×#482	C₂²	1	2	yes	complemented
73	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
74	C₁₇×#481	C₂²	1	2	yes	complemented
75	C₁₇×#481	C₂²	1	1	yes	characteristic, complemented
76	C₁₇×#480	C₂²	1	2	yes	complemented
77	C₁₇×#480	C₂²	1	1	yes	characteristic, complemented
78	C₁₇×#479	C₂²	1	2	yes	complemented
79	C₁₇×#479	C₂²	1	2	yes	complemented
80	C₁₇×#477	C₂²	1	2	yes	complemented
81	C₁₇×#475	C₂²	1	2	yes	complemented
82	C₁₇×#470	C₂²	1	2	yes	complemented
83	C₁₇×#468	C₂²	1	2	yes	complemented
84	C₁₇×#468	C₂²	1	2	yes	complemented
85	C₁₇×#468	C₂²	1	2	yes	complemented
86	C₁₇×#467	C₂²	1	2	yes	complemented
87	C₁₇×#465	C₂²	1	2	yes	complemented
88	C₁₇×#465	C₂²	1	2	yes	complemented
89	C₁₇×#465	C₂²	1	2	yes	complemented
90	C₁₇×#464	C₂²	1	2	yes	complemented
91	C₁₇×#464	C₂²	1	2	yes	complemented
92	C₁₇×#460	C₂²	1	2	yes	complemented
93	C₁₇×#460	C₂²	1	2	yes	complemented
94	C₁₇×#452	C₂²	1	2	yes	—
95	C₁₇×#452	C₂²	1	2	yes	—
96	C₁₇×#452	C₂²	1	2	yes	—
97	C₁₇×#452	C₂²	1	2	yes	—
98	C₁₇×#452	C₂²	1	2	yes	complemented
99	C₁₇×#452	C₂²	1	2	yes	complemented
100	C₁₇×#451	C₂²	1	2	yes	complemented
101	C₁₇×#451	C₂²	1	2	yes	complemented
102	C₁₇×#441	C₂²	1	2	yes	complemented
103	C₁₇×#441	C₂²	1	2	yes	complemented
104	C₄×Q₁₆×C₁₇	C₂²	1	2	yes	complemented
105	C₄×Q₁₆×C₁₇	C₂²	1	2	yes	complemented
106	C₁₇×#436	C₂²	1	2	yes	complemented
107	C₁₇×#435	C₂²	1	2	yes	complemented
108	C₁₇×#435	C₂²	1	2	yes	complemented
109	C₈×D₄×C₁₇	C₂²	1	2	yes	complemented
110	C₁₇×#428	C₂²	1	1	yes	characteristic
111	C₁₇×#427	C₂²	1	1	yes	characteristic
112	C₁₇×#427	C₂²	1	1	yes	characteristic
113	C₁₇×#424	C₂²	1	1	yes	characteristic
114	C₁₇×#419	C₂²	1	1	yes	characteristic
115	C₁₇×#419	C₂²	1	1	yes	characteristic
116	C₁₇×#419	C₂²	1	1	yes	characteristic
117	C₁₇×#419	C₂²	1	2	yes	complemented
118	C₁₇×#418	C₂²	1	1	yes	characteristic
119	C₁₇×#418	C₂²	1	1	yes	characteristic
120	C₁₇×#417	C₂²	1	1	yes	characteristic
121	C₁₇×#417	C₂²	1	2	yes	—
122	C₁₇×#417	C₂²	1	2	yes	—
123	C₁₇×#417	C₂²	1	2	yes	complemented
124	C₁₇×#416	C₂²	1	1	yes	characteristic
125	C₁₇×#416	C₂²	1	1	yes	characteristic
126	C₁₇×#416	C₂²	1	2	yes	—
127	C₁₇×#416	C₂²	1	2	yes	—
128	C₁₇×#416	C₂²	1	2	yes	complemented
129	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
130	C₂×C₁₇×#103	C₂²	1	2	yes	complemented
131	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
132	C₁₇×#408	C₂²	1	1	yes	characteristic
133	C₂×C₁₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
134	C₁₇×#405	C₂²	1	1	yes	characteristic
135	C₁₇×2₋¹⁺⁴	—	2	4	no	—
136	C₁₇×2₋¹⁺⁴	—	4	2	no	—
137	C₂×#41×C₁₇	—	2	2	no	—
138	C₂×#41×C₁₇	—	2	1	no	—
139	C₂×#41×C₁₇	—	2	1	no	—
140	C₂×#41×C₁₇	—	2	1	no	—
141	C₂×#41×C₁₇	—	2	4	no	—
142	C₂×#41×C₁₇	—	4	2	no	—
143	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
144	C₂×#41×C₁₇	C₂³	1	2	yes	—
145	C₂×#41×C₁₇	C₂³	1	2	yes	—
146	C₂×#41×C₁₇	C₂³	1	2	yes	—
147	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
148	C₂²×Q₈×C₁₇	—	2	1	no	—
149	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
150	C₂²×Q₈×C₁₇	C₂³	1	2	yes	—
151	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₇	—	2	1	no	—
153	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₇	—	2	1	no	—
155	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
156	C₁₇×#137	—	4	2	no	—
157	C₂×Q₁₆×C₁₇	—	2	4	no	—
158	C₂×Q₁₆×C₁₇	C₂³	1	2	yes	—
159	C₂×Q₁₆×C₁₇	C₂³	1	2	yes	—
160	C₂×Q₁₆×C₁₇	C₂³	1	2	yes	—
161	C₂×SD₁₆×C₁₇	—	4	2	no	—
162	C₂×SD₁₆×C₁₇	C₂³	1	2	yes	—
163	C₂×SD₁₆×C₁₇	C₂³	1	2	yes	—
164	C₂×SD₁₆×C₁₇	C₂³	1	2	yes	—
165	C₁₇×#131	—	4	2	no	—
166	C₂×M₁₆×C₁₇	—	4	2	no	—
167	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
168	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
169	C₂×M₁₆×C₁₇	C₂³	1	2	yes	—
170	C₂×M₁₆×C₁₇	C₂³	1	2	yes	—
171	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
172	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
173	C₂²×C₈×C₁₇	C₂³	1	2	yes	—
174	C₂²×C₈×C₁₇	C₂³	1	2	yes	—
175	C₁₇×C₄⋊Q₈	—	2	1	no	—
176	C₁₇×C₄⋊Q₈	—	2	1	no	—
177	C₁₇×C₄⋊Q₈	C₂³	1	2	yes	—
178	C₁₇×#127	—	2	2	no	—
179	C₁₇×#127	—	2	2	no	—
180	C₁₇×#127	—	2	1	no	—
181	C₁₇×#127	C₂³	1	2	yes	—
182	C₁₇×#126	—	2	2	no	—
183	C₁₇×#126	—	2	2	no	—
184	C₁₇×#126	—	2	2	no	—
185	C₁₇×#126	—	2	2	no	—
186	C₁₇×#125	—	2	1	no	—
187	C₁₇×#125	—	2	2	no	—
188	C₁₇×#125	—	2	2	no	—
189	C₁₇×#125	—	2	2	no	—
190	C₁₇×#125	C₂³	1	2	yes	—
191	C₁₇×#124	—	2	1	no	—
192	C₁₇×#124	—	2	1	no	—
193	C₁₇×#124	—	2	2	no	—
194	C₁₇×#124	—	2	2	no	—
195	C₁₇×#124	—	2	2	no	—
196	C₁₇×#124	C₂³	1	2	yes	—
197	C₁₇×#123	—	2	2	no	—
198	C₁₇×#123	—	2	2	no	—
199	C₁₇×#123	—	2	2	no	—
200	C₁₇×#123	—	2	1	no	—
201	C₁₇×#123	D₄	1	2	yes	—
202	C₁₇×C₂²⋊Q₈	—	2	1	no	—
203	C₁₇×C₂²⋊Q₈	—	2	1	no	—
204	C₁₇×C₂²⋊Q₈	—	2	2	no	—
205	C₁₇×C₂²⋊Q₈	—	2	2	no	—
206	C₁₇×C₂²⋊Q₈	—	2	2	no	—
207	C₁₇×C₂²⋊Q₈	—	2	2	no	—
208	C₁₇×C₂²⋊Q₈	—	2	2	no	—
209	C₁₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
210	C₁₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
211	C₁₇×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₇×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
214	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
215	C₁₇×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₇×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₇×#121	—	2	2	no	—
218	C₁₇×#121	—	2	2	no	—
219	C₁₇×#121	—	2	1	no	—
220	C₁₇×#121	—	2	1	no	—
221	C₁₇×#121	—	2	2	no	—
222	C₁₇×#121	—	2	2	no	—
223	C₁₇×#121	—	2	2	no	—
224	C₁₇×#121	—	2	2	no	—
225	C₁₇×#121	D₄	1	1	yes	characteristic
226	C₁₇×#121	D₄	1	1	yes	characteristic
227	C₁₇×#121	C₂³	1	1	yes	characteristic
228	C₁₇×#121	C₂³	1	1	yes	characteristic
229	C₁₇×#121	C₂³	1	2	yes	—
230	C₁₇×#121	C₂³	1	2	yes	—
231	C₁₇×#120	—	2	1	no	—
232	C₁₇×#120	—	2	2	no	—
233	C₁₇×#120	—	2	2	no	—
234	C₁₇×#120	D₄	1	2	yes	—
235	C₄×Q₈×C₁₇	—	2	1	no	—
236	C₄×Q₈×C₁₇	—	2	1	no	—
237	C₄×Q₈×C₁₇	—	2	1	no	—
238	C₄×Q₈×C₁₇	—	2	1	no	—
239	C₄×Q₈×C₁₇	—	2	1	no	—
240	C₄×Q₈×C₁₇	—	2	2	no	—
241	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
244	C₄×Q₈×C₁₇	C₂³	1	2	yes	—
245	C₄×D₄×C₁₇	—	2	1	no	—
246	C₄×D₄×C₁₇	—	2	2	no	—
247	C₄×D₄×C₁₇	—	2	2	no	—
248	C₄×D₄×C₁₇	—	2	1	no	—
249	C₄×D₄×C₁₇	—	2	1	no	—
250	C₄×D₄×C₁₇	—	2	2	no	—
251	C₄×D₄×C₁₇	—	2	2	no	—
252	C₄×D₄×C₁₇	—	2	2	no	—
253	C₄×D₄×C₁₇	—	2	2	no	—
254	C₄×D₄×C₁₇	C₂³	1	2	yes	—
255	C₄×D₄×C₁₇	C₂³	1	2	yes	—
256	C₁₇×#117	—	2	1	no	—
257	C₁₇×#117	—	2	1	no	—
258	C₁₇×#117	—	2	2	no	—
259	C₁₇×#117	—	2	2	no	—
260	C₁₇×#117	—	2	2	no	—
261	C₁₇×#117	—	2	2	no	—
262	C₁₇×#117	C₂³	1	1	yes	characteristic
263	C₁₇×#117	C₂³	1	1	yes	characteristic
264	C₁₇×#117	C₂³	1	1	yes	characteristic
265	C₁₇×#117	C₂³	1	1	yes	characteristic
266	C₁₇×#117	C₂³	1	1	yes	characteristic
267	C₁₇×#117	C₂³	1	2	yes	—
268	C₁₇×#117	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
270	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
274	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
275	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
276	C₂×C₄²×C₁₇	—	2	1	no	—
277	C₁₇×#107	C₂³	1	1	yes	characteristic
278	C₁₇×#107	C₂³	1	1	yes	characteristic
279	C₁₇×#107	C₂³	1	1	yes	characteristic
280	C₁₇×#107	C₂³	1	1	yes	characteristic
281	C₁₇×#107	C₂³	1	2	yes	—
282	C₁₇×#106	C₂³	1	1	yes	characteristic
283	C₁₇×#106	C₂³	1	1	yes	characteristic
284	C₁₇×#106	C₂³	1	1	yes	characteristic
285	C₁₇×#106	C₂³	1	1	yes	characteristic
286	C₁₇×#106	C₂³	1	2	yes	—
287	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
288	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
289	C₁₇×#103	C₂³	1	2	yes	—
290	C₁₇×#103	C₂³	1	2	yes	—
291	C₁₇×#103	C₂³	1	1	yes	characteristic
292	C₁₇×#103	C₂³	1	2	yes	—
293	C₁₇×#103	C₂³	1	2	yes	—
294	C₁₇×#103	C₂³	1	2	yes	—
295	C₁₇×#103	C₂³	1	2	yes	—
296	C₁₇×#103	C₂³	1	2	yes	—
297	C₁₇×#103	C₂³	1	1	yes	characteristic
298	C₁₇×#103	C₂³	1	1	yes	characteristic
299	C₁₇×#103	C₂³	1	1	yes	characteristic
300	C₁₇×#103	C₂³	1	2	yes	—
301	C₁₇×#103	C₂³	1	2	yes	—
302	C₁₇×#102	C₂³	1	2	yes	—
303	C₁₇×#102	C₂³	1	2	yes	—
304	C₁₇×#102	C₂³	1	1	yes	characteristic
305	C₁₇×#102	C₂³	1	2	yes	—
306	C₁₇×#102	C₂³	1	2	yes	—
307	C₁₇×#102	C₂³	1	2	yes	—
308	C₁₇×#102	C₂³	1	2	yes	—
309	C₁₇×#102	C₂³	1	1	yes	characteristic
310	C₁₇×#102	C₂³	1	1	yes	characteristic
311	C₁₇×#102	C₂³	1	1	yes	characteristic
312	C₁₇×#102	C₂³	1	2	yes	—
313	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₇×C₂²⋊C₈	C₂³	1	2	yes	—
318	C₁₇×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₁₇×#97	C₂³	1	2	yes	—
320	C₄×C₈×C₁₇	C₂³	1	2	yes	—
321	C₂⁴×C₁₇	—	2	1	no	—
322	C₂⁴×C₁₇	C₂×D₄	1	1	yes	characteristic
323	#41×C₁₇	—	2	2	no	—
324	#41×C₁₇	—	2	2	no	—
325	#41×C₁₇	—	2	4	no	—
326	#41×C₁₇	—	2	4	no	—
327	#41×C₁₇	—	2	4	no	—
328	#41×C₁₇	—	2	2	no	—
329	#41×C₁₇	—	2	2	no	—
330	#41×C₁₇	—	4	2	no	—
331	#41×C₁₇	—	4	2	no	—
332	#41×C₁₇	—	4	2	no	—
333	#41×C₁₇	—	4	8	no	—
334	#41×C₁₇	—	4	4	no	—
335	#41×C₁₇	—	4	4	no	—
336	#41×C₁₇	—	4	4	no	—
337	C₂×Q₈×C₁₇	—	2	1	no	—
338	C₂×Q₈×C₁₇	—	2	2	no	—
339	C₂×Q₈×C₁₇	—	2	1	no	—
340	C₂×Q₈×C₁₇	—	2	2	no	—
341	C₂×Q₈×C₁₇	—	2	2	no	—
342	C₂×Q₈×C₁₇	—	2	4	no	—
343	C₂×Q₈×C₁₇	—	2	2	no	—
344	C₂×Q₈×C₁₇	—	2	2	no	—
345	C₂×Q₈×C₁₇	—	4	2	no	—
346	C₂×Q₈×C₁₇	—	4	4	no	—
347	C₂×Q₈×C₁₇	C₂×D₄	1	1	yes	characteristic
348	C₂×Q₈×C₁₇	#41	1	4	yes	—
349	C₂×Q₈×C₁₇	C₂⁴	1	2	yes	—
350	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
351	C₂×Q₈×C₁₇	C₂⁴	1	2	yes	—
352	C₂×D₄×C₁₇	—	2	1	no	—
353	C₂×D₄×C₁₇	—	2	2	no	—
354	C₂×D₄×C₁₇	—	2	2	no	—
355	C₂×D₄×C₁₇	—	2	2	no	—
356	C₂×D₄×C₁₇	—	2	2	no	—
357	C₂×D₄×C₁₇	—	2	2	no	—
358	C₂×D₄×C₁₇	—	2	1	no	—
359	C₂×D₄×C₁₇	—	2	1	no	—
360	C₂×D₄×C₁₇	—	2	1	no	—
361	C₂×D₄×C₁₇	—	2	2	no	—
362	C₂×D₄×C₁₇	—	2	2	no	—
363	C₂×D₄×C₁₇	—	2	2	no	—
364	C₂×D₄×C₁₇	—	2	2	no	—
365	C₂×D₄×C₁₇	—	4	4	no	—
366	C₂×D₄×C₁₇	C₂×D₄	1	2	yes	—
367	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
368	C₂×D₄×C₁₇	C₂×D₄	1	2	yes	—
369	C₂×D₄×C₁₇	C₂×D₄	1	2	yes	—
370	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
371	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₇	—	2	1	no	—
373	C₂²×C₄×C₁₇	—	2	2	no	—
374	C₂²×C₄×C₁₇	—	2	2	no	—
375	C₂²×C₄×C₁₇	—	2	1	no	—
376	C₂²×C₄×C₁₇	—	2	1	no	—
377	C₂²×C₄×C₁₇	—	2	2	no	—
378	C₂²×C₄×C₁₇	—	2	1	no	—
379	C₂²×C₄×C₁₇	—	2	1	no	—
380	C₂²×C₄×C₁₇	—	2	2	no	—
381	C₂²×C₄×C₁₇	—	2	2	no	—
382	C₂²×C₄×C₁₇	—	2	2	no	—
383	C₂²×C₄×C₁₇	—	2	2	no	—
384	C₂²×C₄×C₁₇	—	2	1	no	—
385	C₂²×C₄×C₁₇	—	4	4	no	—
386	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
392	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
393	Q₁₆×C₁₇	—	2	4	no	—
394	Q₁₆×C₁₇	—	2	4	no	—
395	Q₁₆×C₁₇	—	4	2	no	—
396	SD₁₆×C₁₇	—	4	2	no	—
397	SD₁₆×C₁₇	—	4	2	no	—
398	SD₁₆×C₁₇	—	4	2	no	—
399	M₁₆×C₁₇	—	2	2	no	—
400	M₁₆×C₁₇	—	2	2	no	—
401	M₁₆×C₁₇	—	4	2	no	—
402	M₁₆×C₁₇	—	4	2	no	—
403	C₂×C₈×C₁₇	—	2	2	no	—
404	C₂×C₈×C₁₇	—	2	2	no	—
405	C₂×C₈×C₁₇	—	4	2	no	—
406	C₂×C₈×C₁₇	—	4	2	no	—
407	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
408	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
409	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
410	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
411	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
412	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₁₇	—	2	1	no	—
414	C₄⋊C₄×C₁₇	—	2	1	no	—
415	C₄⋊C₄×C₁₇	—	2	2	no	—
416	C₄⋊C₄×C₁₇	—	2	2	no	—
417	C₄⋊C₄×C₁₇	—	2	1	no	—
418	C₄⋊C₄×C₁₇	—	2	1	no	—
419	C₄⋊C₄×C₁₇	—	2	2	no	—
420	C₄⋊C₄×C₁₇	—	2	2	no	—
421	C₄⋊C₄×C₁₇	—	2	2	no	—
422	C₄⋊C₄×C₁₇	—	2	2	no	—
423	C₄⋊C₄×C₁₇	—	2	2	no	—
424	C₄⋊C₄×C₁₇	—	2	2	no	—
425	C₄⋊C₄×C₁₇	—	2	2	no	—
426	C₄⋊C₄×C₁₇	—	2	2	no	—
427	C₄⋊C₄×C₁₇	—	2	2	no	—
428	C₄⋊C₄×C₁₇	—	2	2	no	—
429	C₄⋊C₄×C₁₇	—	2	1	no	—
430	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
431	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
432	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
433	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
434	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
435	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
436	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
437	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
438	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
439	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
440	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
441	C₂²⋊C₄×C₁₇	—	2	2	no	—
442	C₂²⋊C₄×C₁₇	—	2	1	no	—
443	C₂²⋊C₄×C₁₇	—	2	2	no	—
444	C₂²⋊C₄×C₁₇	—	2	2	no	—
445	C₂²⋊C₄×C₁₇	—	2	2	no	—
446	C₂²⋊C₄×C₁₇	—	2	1	no	—
447	C₂²⋊C₄×C₁₇	—	2	1	no	—
448	C₂²⋊C₄×C₁₇	—	2	1	no	—
449	C₂²⋊C₄×C₁₇	—	2	2	no	—
450	C₂²⋊C₄×C₁₇	—	2	1	no	—
451	C₂²⋊C₄×C₁₇	—	2	1	no	—
452	C₂²⋊C₄×C₁₇	—	2	1	no	—
453	C₂²⋊C₄×C₁₇	—	2	2	no	—
454	C₂²⋊C₄×C₁₇	—	2	2	no	—
455	C₂²⋊C₄×C₁₇	—	2	2	no	—
456	C₂²⋊C₄×C₁₇	—	2	2	no	—
457	C₂²⋊C₄×C₁₇	—	2	1	no	—
458	C₂²⋊C₄×C₁₇	—	2	1	no	—
459	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
460	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
461	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
462	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
463	C₂²⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
464	C₄²×C₁₇	—	2	1	no	—
465	C₄²×C₁₇	—	2	2	no	—
466	C₄²×C₁₇	—	2	2	no	—
467	C₄²×C₁₇	—	2	2	no	—
468	C₄²×C₁₇	—	2	1	no	—
469	C₄²×C₁₇	—	2	1	no	—
470	C₄²×C₁₇	—	2	2	no	—
471	C₄²×C₁₇	—	2	2	no	—
472	C₄²×C₁₇	—	2	1	no	—
473	C₄²×C₁₇	—	2	1	no	—
474	C₄²×C₁₇	C₂⁴	1	2	yes	—
475	#61190	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
476	C₂³×C₁₇	—	2	2	no	—
477	C₂³×C₁₇	—	2	2	no	—
478	C₂³×C₁₇	—	2	1	no	—
479	C₂³×C₁₇	—	4	1	no	—
480	C₂³×C₁₇	—	4	1	no	—
481	C₂³×C₁₇	—	4	2	no	—
482	C₂³×C₁₇	—	8	1	no	—
483	C₂³×C₁₇	—	8	1	no	—
484	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
485	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
486	C₂³×C₁₇	C₂²×D₄	1	2	yes	—
487	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
488	Q₈×C₁₇	—	2	4	no	—
489	Q₈×C₁₇	—	2	2	no	—
490	Q₈×C₁₇	—	2	2	no	—
491	Q₈×C₁₇	—	2	2	no	—
492	Q₈×C₁₇	—	2	1	no	—
493	Q₈×C₁₇	—	2	2	no	—
494	Q₈×C₁₇	—	2	1	no	—
495	Q₈×C₁₇	—	4	4	no	—
496	Q₈×C₁₇	—	4	2	no	—
497	Q₈×C₁₇	—	8	2	no	—
498	Q₈×C₁₇	C₂×#41	1	4	yes	—
499	D₄×C₁₇	—	2	4	no	—
500	D₄×C₁₇	—	2	2	no	—
501	D₄×C₁₇	—	2	2	no	—
502	D₄×C₁₇	—	2	1	no	—
503	D₄×C₁₇	—	2	2	no	—
504	D₄×C₁₇	—	2	1	no	—
505	D₄×C₁₇	—	4	2	no	—
506	D₄×C₁₇	—	4	2	no	—
507	D₄×C₁₇	—	4	4	no	—
508	D₄×C₁₇	—	4	4	no	—
509	D₄×C₁₇	—	4	4	no	—
510	D₄×C₁₇	—	4	2	no	—
511	D₄×C₁₇	—	4	2	no	—
512	D₄×C₁₇	—	8	2	no	—
513	D₄×C₁₇	—	8	2	no	—
514	D₄×C₁₇	—	8	2	no	—
515	D₄×C₁₇	—	8	1	no	—
516	D₄×C₁₇	—	8	2	no	—
517	D₄×C₁₇	—	8	1	no	—
518	C₂×C₄×C₁₇	—	2	2	no	—
519	C₂×C₄×C₁₇	—	2	4	no	—
520	C₂×C₄×C₁₇	—	2	2	no	—
521	C₂×C₄×C₁₇	—	2	2	no	—
522	C₂×C₄×C₁₇	—	2	2	no	—
523	C₂×C₄×C₁₇	—	2	1	no	—
524	C₂×C₄×C₁₇	—	2	1	no	—
525	C₂×C₄×C₁₇	—	2	2	no	—
526	C₂×C₄×C₁₇	—	2	1	no	—
527	C₂×C₄×C₁₇	—	2	2	no	—
528	C₂×C₄×C₁₇	—	2	1	no	—
529	C₂×C₄×C₁₇	—	2	1	no	—
530	C₂×C₄×C₁₇	—	2	1	no	—
531	C₂×C₄×C₁₇	—	2	1	no	—
532	C₂×C₄×C₁₇	—	2	1	no	—
533	C₂×C₄×C₁₇	—	2	1	no	—
534	C₂×C₄×C₁₇	—	2	2	no	—
535	C₂×C₄×C₁₇	—	2	1	no	—
536	C₂×C₄×C₁₇	—	2	2	no	—
537	C₂×C₄×C₁₇	—	2	1	no	—
538	C₂×C₄×C₁₇	—	4	4	no	—
539	C₂×C₄×C₁₇	—	4	4	no	—
540	C₂×C₄×C₁₇	—	4	4	no	—
541	C₂×C₄×C₁₇	—	4	4	no	—
542	C₂×C₄×C₁₇	—	4	2	no	—
543	C₂×C₄×C₁₇	—	4	2	no	—
544	C₂×C₄×C₁₇	—	4	2	no	—
545	C₂×C₄×C₁₇	—	8	2	no	—
546	C₂×C₄×C₁₇	—	8	1	no	—
547	C₂×C₄×C₁₇	—	8	1	no	—
548	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₇	C₂²×D₄	1	2	yes	—
552	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
555	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
556	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
557	C₈×C₁₇	—	2	1	no	—
558	C₈×C₁₇	—	2	1	no	—
559	C₈×C₁₇	—	2	1	no	—
560	C₈×C₁₇	—	2	1	no	—
561	C₈×C₁₇	—	2	2	no	—
562	C₈×C₁₇	—	2	2	no	—
563	#3495	C₂×C₁₇	1	1	yes	characteristic, complemented
564	#3487	C₂×C₁₇	1	1	yes	characteristic
565	#3333	C₂×C₁₇	1	2	yes	complemented
566	#3327	C₂×C₁₇	1	2	yes	complemented
567	#3317	C₂×C₁₇	1	2	yes	complemented
568	#3317	C₂×C₁₇	1	2	yes	complemented
569	#3316	C₂×C₁₇	1	2	yes	complemented
570	#3313	C₂×C₁₇	1	2	yes	complemented
571	#3304	C₂×C₁₇	1	2	yes	complemented
572	#3300	C₂×C₁₇	1	2	yes	complemented
573	#3136	C₂×C₁₇	1	1	yes	characteristic, complemented
574	#3096	C₂×C₁₇	1	1	yes	characteristic, complemented
575	#3091	C₂×C₁₇	1	1	yes	characteristic, complemented
576	#3082	C₂×C₁₇	1	1	yes	characteristic, complemented
577	#3057	C₂×C₁₇	1	1	yes	characteristic, complemented
578	#3056	C₂×C₁₇	1	1	yes	characteristic, complemented
579	#3043	C₂×C₁₇	1	1	yes	characteristic, complemented
580	#3011	C₂×C₁₇	1	1	yes	characteristic, complemented
581	C₂×#452	C₂×C₁₇	1	1	yes	characteristic, complemented
582	#2950	C₂×C₁₇	1	1	yes	characteristic, complemented
583	#2933	C₂×C₁₇	1	1	yes	characteristic, complemented
584	#2898	C₂×C₁₇	1	1	yes	characteristic, complemented
585	#2896	C₂×C₁₇	1	1	yes	characteristic, complemented
586	C₂²×C₁₇	—	2	1	no	—
587	C₂²×C₁₇	—	2	1	no	—
588	C₂²×C₁₇	—	2	2	no	—
589	C₂²×C₁₇	—	2	1	no	—
590	C₂²×C₁₇	—	2	1	no	—
591	C₂²×C₁₇	—	2	1	no	—
592	C₂²×C₁₇	—	2	2	no	—
593	C₂²×C₁₇	—	2	1	no	—
594	C₂²×C₁₇	—	2	1	no	—
595	C₂²×C₁₇	—	2	1	no	—
596	C₂²×C₁₇	—	2	2	no	—
597	C₂²×C₁₇	—	4	1	no	—
598	C₂²×C₁₇	—	4	2	no	—
599	C₂²×C₁₇	—	4	1	no	—
600	C₂²×C₁₇	—	4	2	no	—
601	C₂²×C₁₇	—	4	1	no	—
602	C₂²×C₁₇	—	4	2	no	—
603	C₂²×C₁₇	—	8	2	no	—
604	C₂²×C₁₇	—	8	4	no	—
605	C₂²×C₁₇	#546	1	2	yes	—
606	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
607	C₄×C₁₇	—	2	2	no	—
608	C₄×C₁₇	—	2	2	no	—
609	C₄×C₁₇	—	2	1	no	—
610	C₄×C₁₇	—	2	1	no	—
611	C₄×C₁₇	—	2	4	no	—
612	C₄×C₁₇	—	2	2	no	—
613	C₄×C₁₇	—	4	1	no	—
614	C₄×C₁₇	—	4	2	no	—
615	C₄×C₁₇	—	4	1	no	—
616	C₄×C₁₇	—	4	1	no	—
617	C₄×C₁₇	—	4	1	no	—
618	C₄×C₁₇	—	4	1	no	—
619	C₄×C₁₇	—	4	1	no	—
620	C₄×C₁₇	—	4	1	no	—
621	C₄×C₁₇	—	4	2	no	—
622	C₄×C₁₇	#546	1	2	yes	—
623	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
624	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
625	C₂×2₋¹⁺⁴	C₂²×C₁₇	1	1	yes	characteristic
626	C₂²×#41	C₂²×C₁₇	1	1	yes	characteristic
627	C₂×#137	C₂²×C₁₇	1	1	yes	characteristic
628	C₂²×Q₁₆	C₂²×C₁₇	1	1	yes	characteristic
629	C₂²×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
630	C₂×#131	C₂²×C₁₇	1	1	yes	characteristic
631	C₂²×M₁₆	C₂²×C₁₇	1	1	yes	characteristic
632	#556	C₂²×C₁₇	1	2	yes	complemented
633	#554	C₂²×C₁₇	1	2	yes	complemented
634	#552	—	2	2	no	—
635	#552	C₂²×C₁₇	1	2	yes	complemented
636	#552	C₂²×C₁₇	1	2	yes	complemented
637	#551	—	2	2	no	—
638	#550	—	2	1	no	—
639	#550	—	2	1	no	—
640	#550	C₂²×C₁₇	1	2	yes	—
641	#550	C₂²×C₁₇	1	2	yes	—
642	#548	—	2	1	no	—
643	#548	—	2	1	no	—
644	#548	C₂²×C₁₇	1	2	yes	—
645	#548	C₂²×C₁₇	1	2	yes	—
646	#544	C₂²×C₁₇	1	1	yes	characteristic
647	#542	—	2	1	no	—
648	#541	—	2	1	no	—
649	#536	C₂²×C₁₇	1	1	yes	characteristic
650	#535	—	2	2	no	—
651	#535	C₂²×C₁₇	1	1	yes	characteristic
652	#535	C₂²×C₁₇	1	1	yes	characteristic
653	#533	—	2	1	no	—
654	#529	—	2	1	no	—
655	#525	—	2	2	no	—
656	#525	C₂²×C₁₇	1	1	yes	characteristic
657	#525	C₂²×C₁₇	1	1	yes	characteristic
658	C₂×C₂²⋊Q₈	C₂²×C₁₇	1	1	yes	characteristic
659	#520	C₂²×C₁₇	1	1	yes	characteristic
660	#519	C₂²×C₁₇	1	1	yes	characteristic
661	#519	C₂²×C₁₇	1	1	yes	characteristic
662	C₂×#117	C₂²×C₁₇	1	1	yes	characteristic
663	#490	C₂²×C₁₇	1	2	yes	complemented
664	#489	C₂²×C₁₇	1	2	yes	complemented
665	#488	C₂²×C₁₇	1	2	yes	complemented
666	#486	C₂²×C₁₇	1	2	yes	complemented
667	#485	C₂²×C₁₇	1	1	yes	characteristic, complemented
668	#485	C₂²×C₁₇	1	1	yes	characteristic, complemented
669	#484	C₂²×C₁₇	1	1	yes	characteristic, complemented
670	#483	C₂²×C₁₇	1	1	yes	characteristic, complemented
671	#482	C₂²×C₁₇	1	1	yes	characteristic, complemented
672	#482	C₂²×C₁₇	1	1	yes	characteristic, complemented
673	#482	C₂²×C₁₇	1	2	yes	complemented
674	#482	C₂²×C₁₇	1	2	yes	complemented
675	#481	C₂²×C₁₇	1	1	yes	characteristic, complemented
676	#481	C₂²×C₁₇	1	2	yes	complemented
677	#480	C₂²×C₁₇	1	1	yes	characteristic, complemented
678	#480	C₂²×C₁₇	1	2	yes	complemented
679	#479	C₂²×C₁₇	1	2	yes	complemented
680	#479	C₂²×C₁₇	1	2	yes	complemented
681	#477	C₂²×C₁₇	1	2	yes	complemented
682	#475	C₂²×C₁₇	1	2	yes	complemented
683	#470	C₂²×C₁₇	1	2	yes	complemented
684	#468	C₂²×C₁₇	1	2	yes	complemented
685	#468	C₂²×C₁₇	1	2	yes	complemented
686	#468	C₂²×C₁₇	1	2	yes	complemented
687	#467	C₂²×C₁₇	1	2	yes	complemented
688	#465	C₂²×C₁₇	1	2	yes	complemented
689	#465	C₂²×C₁₇	1	2	yes	complemented
690	#465	C₂²×C₁₇	1	2	yes	complemented
691	#464	C₂²×C₁₇	1	2	yes	complemented
692	#464	C₂²×C₁₇	1	2	yes	complemented
693	#460	C₂²×C₁₇	1	2	yes	complemented
694	#460	C₂²×C₁₇	1	2	yes	complemented
695	#452	C₂²×C₁₇	1	2	yes	—
696	#452	C₂²×C₁₇	1	2	yes	—
697	#452	C₂²×C₁₇	1	2	yes	—
698	#452	C₂²×C₁₇	1	2	yes	—
699	#452	C₂²×C₁₇	1	2	yes	complemented
700	#452	C₂²×C₁₇	1	2	yes	complemented
701	#451	C₂²×C₁₇	1	2	yes	complemented
702	#451	C₂²×C₁₇	1	2	yes	complemented
703	#441	C₂²×C₁₇	1	2	yes	complemented
704	#441	C₂²×C₁₇	1	2	yes	complemented
705	C₄×Q₁₆	C₂²×C₁₇	1	2	yes	complemented
706	C₄×Q₁₆	C₂²×C₁₇	1	2	yes	complemented
707	#436	C₂²×C₁₇	1	2	yes	complemented
708	#435	C₂²×C₁₇	1	2	yes	complemented
709	#435	C₂²×C₁₇	1	2	yes	complemented
710	C₈×D₄	C₂²×C₁₇	1	2	yes	complemented
711	#428	C₂²×C₁₇	1	1	yes	characteristic
712	#427	C₂²×C₁₇	1	1	yes	characteristic
713	#427	C₂²×C₁₇	1	1	yes	characteristic
714	#424	C₂²×C₁₇	1	1	yes	characteristic
715	#419	C₂²×C₁₇	1	1	yes	characteristic
716	#419	C₂²×C₁₇	1	1	yes	characteristic
717	#419	C₂²×C₁₇	1	1	yes	characteristic
718	#419	C₂²×C₁₇	1	2	yes	complemented
719	#418	C₂²×C₁₇	1	1	yes	characteristic
720	#418	C₂²×C₁₇	1	1	yes	characteristic
721	#417	C₂²×C₁₇	1	2	yes	—
722	#417	C₂²×C₁₇	1	1	yes	characteristic
723	#417	C₂²×C₁₇	1	2	yes	—
724	#417	C₂²×C₁₇	1	2	yes	complemented
725	#416	C₂²×C₁₇	1	1	yes	characteristic
726	#416	C₂²×C₁₇	1	1	yes	characteristic
727	#416	C₂²×C₁₇	1	2	yes	—
728	#416	C₂²×C₁₇	1	2	yes	—
729	#416	C₂²×C₁₇	1	2	yes	complemented
730	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
731	C₂×#103	C₂²×C₁₇	1	2	yes	complemented
732	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
733	#408	C₂²×C₁₇	1	1	yes	characteristic
734	C₂×C₂²⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
735	#405	C₂²×C₁₇	1	1	yes	characteristic
736	C₂×C₁₇	—	2	2	no	—
737	C₂×C₁₇	—	4	2	no	—
738	C₂×C₁₇	—	4	1	no	—
739	C₂×C₁₇	—	4	1	no	—
740	C₂×C₁₇	—	8	1	no	—
741	C₂×C₁₇	—	8	2	no	—
742	C₂×C₁₇	C₂×#546	1	1	yes	characteristic
743	C₂×C₁₇	#3584	1	1	yes	characteristic
744	C₂×C₁₇	#3586	1	1	yes	characteristic
745	2₋¹⁺⁴	—	2	4	no	—
746	2₋¹⁺⁴	—	4	2	no	—
747	C₂×#41	—	2	2	no	—
748	C₂×#41	—	2	1	no	—
749	C₂×#41	—	2	1	no	—
750	C₂×#41	—	2	1	no	—
751	C₂×#41	—	2	4	no	—
752	C₂×#41	—	4	2	no	—
753	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
754	C₂×#41	C₂³×C₁₇	1	2	yes	—
755	C₂×#41	C₂³×C₁₇	1	2	yes	—
756	C₂×#41	C₂³×C₁₇	1	2	yes	—
757	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
758	C₂²×Q₈	—	2	1	no	—
759	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
760	C₂²×Q₈	C₂³×C₁₇	1	2	yes	—
761	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
762	C₂²×D₄	—	2	1	no	—
763	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
764	C₂³×C₄	—	2	1	no	—
765	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
766	#137	—	4	2	no	—
767	C₂×Q₁₆	—	2	4	no	—
768	C₂×Q₁₆	C₂³×C₁₇	1	2	yes	—
769	C₂×Q₁₆	C₂³×C₁₇	1	2	yes	—
770	C₂×Q₁₆	C₂³×C₁₇	1	2	yes	—
771	C₂×SD₁₆	—	4	2	no	—
772	C₂×SD₁₆	C₂³×C₁₇	1	2	yes	—
773	C₂×SD₁₆	C₂³×C₁₇	1	2	yes	—
774	C₂×SD₁₆	C₂³×C₁₇	1	2	yes	—
775	#131	—	4	2	no	—
776	C₂×M₁₆	—	4	2	no	—
777	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
778	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
779	C₂×M₁₆	C₂³×C₁₇	1	2	yes	—
780	C₂×M₁₆	C₂³×C₁₇	1	2	yes	—
781	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
782	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
783	C₂²×C₈	C₂³×C₁₇	1	2	yes	—
784	C₂²×C₈	C₂³×C₁₇	1	2	yes	—
785	C₄⋊Q₈	—	2	1	no	—
786	C₄⋊Q₈	—	2	1	no	—
787	C₄⋊Q₈	C₂³×C₁₇	1	2	yes	—
788	#127	—	2	2	no	—
789	#127	—	2	2	no	—
790	#127	—	2	1	no	—
791	#127	C₂³×C₁₇	1	2	yes	—
792	#126	—	2	2	no	—
793	#126	—	2	2	no	—
794	#126	—	2	2	no	—
795	#126	—	2	2	no	—
796	#125	—	2	1	no	—
797	#125	—	2	2	no	—
798	#125	—	2	2	no	—
799	#125	—	2	2	no	—
800	#125	C₂³×C₁₇	1	2	yes	—
801	#124	—	2	1	no	—
802	#124	—	2	1	no	—
803	#124	—	2	2	no	—
804	#124	—	2	2	no	—
805	#124	—	2	2	no	—
806	#124	C₂³×C₁₇	1	2	yes	—
807	#123	—	2	2	no	—
808	#123	—	2	2	no	—
809	#123	—	2	2	no	—
810	#123	—	2	1	no	—
811	#123	D₄×C₁₇	1	2	yes	—
812	C₂²⋊Q₈	—	2	1	no	—
813	C₂²⋊Q₈	—	2	1	no	—
814	C₂²⋊Q₈	—	2	2	no	—
815	C₂²⋊Q₈	—	2	2	no	—
816	C₂²⋊Q₈	—	2	2	no	—
817	C₂²⋊Q₈	—	2	2	no	—
818	C₂²⋊Q₈	—	2	2	no	—
819	C₂²⋊Q₈	D₄×C₁₇	1	1	yes	characteristic
820	C₂²⋊Q₈	D₄×C₁₇	1	1	yes	characteristic
821	C₂²⋊Q₈	C₂³×C₁₇	1	2	yes	—
822	C₂²⋊Q₈	C₂³×C₁₇	1	2	yes	—
823	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
824	C₂²⋊Q₈	C₂³×C₁₇	1	1	yes	characteristic
825	C₂²⋊Q₈	C₂³×C₁₇	1	2	yes	—
826	C₂²⋊Q₈	C₂³×C₁₇	1	2	yes	—
827	#121	—	2	2	no	—
828	#121	—	2	2	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	2	no	—
832	#121	—	2	2	no	—
833	#121	—	2	2	no	—
834	#121	—	2	2	no	—
835	#121	D₄×C₁₇	1	1	yes	characteristic
836	#121	D₄×C₁₇	1	1	yes	characteristic
837	#121	C₂³×C₁₇	1	1	yes	characteristic
838	#121	C₂³×C₁₇	1	1	yes	characteristic
839	#121	C₂³×C₁₇	1	2	yes	—
840	#121	C₂³×C₁₇	1	2	yes	—
841	#120	—	2	1	no	—
842	#120	—	2	2	no	—
843	#120	—	2	2	no	—
844	#120	D₄×C₁₇	1	2	yes	—
845	C₄×Q₈	—	2	1	no	—
846	C₄×Q₈	—	2	1	no	—
847	C₄×Q₈	—	2	1	no	—
848	C₄×Q₈	—	2	1	no	—
849	C₄×Q₈	—	2	1	no	—
850	C₄×Q₈	—	2	2	no	—
851	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
852	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
853	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
854	C₄×Q₈	C₂³×C₁₇	1	2	yes	—
855	C₄×D₄	—	2	1	no	—
856	C₄×D₄	—	2	2	no	—
857	C₄×D₄	—	2	2	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	2	no	—
861	C₄×D₄	—	2	2	no	—
862	C₄×D₄	—	2	2	no	—
863	C₄×D₄	—	2	2	no	—
864	C₄×D₄	C₂³×C₁₇	1	2	yes	—
865	C₄×D₄	C₂³×C₁₇	1	2	yes	—
866	#117	—	2	1	no	—
867	#117	—	2	1	no	—
868	#117	—	2	2	no	—
869	#117	—	2	2	no	—
870	#117	—	2	2	no	—
871	#117	—	2	2	no	—
872	#117	C₂³×C₁₇	1	1	yes	characteristic
873	#117	C₂³×C₁₇	1	1	yes	characteristic
874	#117	C₂³×C₁₇	1	1	yes	characteristic
875	#117	C₂³×C₁₇	1	1	yes	characteristic
876	#117	C₂³×C₁₇	1	1	yes	characteristic
877	#117	C₂³×C₁₇	1	2	yes	—
878	#117	C₂³×C₁₇	1	1	yes	characteristic
879	C₂×C₄⋊C₄	—	2	1	no	—
880	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
884	C₂×C₂²⋊C₄	—	2	1	no	—
885	C₂×C₂²⋊C₄	—	2	1	no	—
886	C₂×C₄²	—	2	1	no	—
887	#107	C₂³×C₁₇	1	1	yes	characteristic
888	#107	C₂³×C₁₇	1	1	yes	characteristic
889	#107	C₂³×C₁₇	1	1	yes	characteristic
890	#107	C₂³×C₁₇	1	1	yes	characteristic
891	#107	C₂³×C₁₇	1	2	yes	—
892	#106	C₂³×C₁₇	1	1	yes	characteristic
893	#106	C₂³×C₁₇	1	1	yes	characteristic
894	#106	C₂³×C₁₇	1	1	yes	characteristic
895	#106	C₂³×C₁₇	1	1	yes	characteristic
896	#106	C₂³×C₁₇	1	2	yes	—
897	C₄⋊C₈	C₂³×C₁₇	1	2	yes	—
898	C₄⋊C₈	C₂³×C₁₇	1	2	yes	—
899	#103	C₂³×C₁₇	1	2	yes	—
900	#103	C₂³×C₁₇	1	2	yes	—
901	#103	C₂³×C₁₇	1	1	yes	characteristic
902	#103	C₂³×C₁₇	1	2	yes	—
903	#103	C₂³×C₁₇	1	2	yes	—
904	#103	C₂³×C₁₇	1	2	yes	—
905	#103	C₂³×C₁₇	1	2	yes	—
906	#103	C₂³×C₁₇	1	2	yes	—
907	#103	C₂³×C₁₇	1	1	yes	characteristic
908	#103	C₂³×C₁₇	1	1	yes	characteristic
909	#103	C₂³×C₁₇	1	1	yes	characteristic
910	#103	C₂³×C₁₇	1	2	yes	—
911	#103	C₂³×C₁₇	1	2	yes	—
912	#102	C₂³×C₁₇	1	2	yes	—
913	#102	C₂³×C₁₇	1	2	yes	—
914	#102	C₂³×C₁₇	1	1	yes	characteristic
915	#102	C₂³×C₁₇	1	2	yes	—
916	#102	C₂³×C₁₇	1	2	yes	—
917	#102	C₂³×C₁₇	1	2	yes	—
918	#102	C₂³×C₁₇	1	2	yes	—
919	#102	C₂³×C₁₇	1	1	yes	characteristic
920	#102	C₂³×C₁₇	1	1	yes	characteristic
921	#102	C₂³×C₁₇	1	1	yes	characteristic
922	#102	C₂³×C₁₇	1	2	yes	—
923	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
924	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
925	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
926	C₂²⋊C₈	C₂³×C₁₇	1	1	yes	characteristic
927	C₂²⋊C₈	C₂³×C₁₇	1	2	yes	—
928	C₂²⋊C₈	C₂³×C₁₇	1	2	yes	—
929	#97	C₂³×C₁₇	1	2	yes	—
930	C₄×C₈	C₂³×C₁₇	1	2	yes	—
931	C₁₇	#61190	1	1	yes	characteristic, direct product factor, Sylow
932	C₂⁴	—	2	1	no	—
933	C₂⁴	C₂×D₄×C₁₇	1	1	yes	characteristic
934	#41	—	2	2	no	—
935	#41	—	2	2	no	—
936	#41	—	2	4	no	—
937	#41	—	2	4	no	—
938	#41	—	2	4	no	—
939	#41	—	2	2	no	—
940	#41	—	2	2	no	—
941	#41	—	4	2	no	—
942	#41	—	4	2	no	—
943	#41	—	4	2	no	—
944	#41	—	4	8	no	—
945	#41	—	4	4	no	—
946	#41	—	4	4	no	—
947	#41	—	4	4	no	—
948	C₂×Q₈	—	2	1	no	—
949	C₂×Q₈	—	2	1	no	—
950	C₂×Q₈	—	2	2	no	—
951	C₂×Q₈	—	2	2	no	—
952	C₂×Q₈	—	2	2	no	—
953	C₂×Q₈	—	2	4	no	—
954	C₂×Q₈	—	2	2	no	—
955	C₂×Q₈	—	2	2	no	—
956	C₂×Q₈	—	4	2	no	—
957	C₂×Q₈	—	4	4	no	—
958	C₂×Q₈	C₂×D₄×C₁₇	1	1	yes	characteristic
959	C₂×Q₈	#41×C₁₇	1	4	yes	—
960	C₂×Q₈	C₂⁴×C₁₇	1	1	yes	characteristic
961	C₂×Q₈	C₂⁴×C₁₇	1	2	yes	—
962	C₂×Q₈	C₂⁴×C₁₇	1	2	yes	—
963	C₂×D₄	—	2	1	no	—
964	C₂×D₄	—	2	2	no	—
965	C₂×D₄	—	2	2	no	—
966	C₂×D₄	—	2	2	no	—
967	C₂×D₄	—	2	2	no	—
968	C₂×D₄	—	2	2	no	—
969	C₂×D₄	—	2	1	no	—
970	C₂×D₄	—	2	1	no	—
971	C₂×D₄	—	2	1	no	—
972	C₂×D₄	—	2	2	no	—
973	C₂×D₄	—	2	2	no	—
974	C₂×D₄	—	2	2	no	—
975	C₂×D₄	—	2	2	no	—
976	C₂×D₄	—	4	4	no	—
977	C₂×D₄	C₂×D₄×C₁₇	1	2	yes	—
978	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
979	C₂×D₄	C₂×D₄×C₁₇	1	2	yes	—
980	C₂×D₄	C₂×D₄×C₁₇	1	2	yes	—
981	C₂×D₄	C₂⁴×C₁₇	1	2	yes	—
982	C₂×D₄	C₂⁴×C₁₇	1	1	yes	characteristic
983	C₂²×C₄	—	2	1	no	—
984	C₂²×C₄	—	2	2	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	2	1	no	—
987	C₂²×C₄	—	2	1	no	—
988	C₂²×C₄	—	2	2	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	1	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	—	2	2	no	—
995	C₂²×C₄	—	2	2	no	—
996	C₂²×C₄	—	4	4	no	—
997	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
998	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
999	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1001	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
1002	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1003	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1004	Q₁₆	—	2	4	no	—
1005	Q₁₆	—	2	4	no	—
1006	Q₁₆	—	4	2	no	—
1007	SD₁₆	—	4	2	no	—
1008	SD₁₆	—	4	2	no	—
1009	SD₁₆	—	4	2	no	—
1010	M₁₆	—	2	2	no	—
1011	M₁₆	—	2	2	no	—
1012	M₁₆	—	4	2	no	—
1013	M₁₆	—	4	2	no	—
1014	C₂×C₈	—	2	2	no	—
1015	C₂×C₈	—	2	2	no	—
1016	C₂×C₈	—	4	2	no	—
1017	C₂×C₈	—	4	2	no	—
1018	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1019	C₂×C₈	C₂⁴×C₁₇	1	2	yes	—
1020	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1021	C₂×C₈	C₂⁴×C₁₇	1	2	yes	—
1022	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1023	C₂×C₈	C₂⁴×C₁₇	1	1	yes	characteristic
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	1	no	—
1027	C₄⋊C₄	—	2	1	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	2	no	—
1030	C₄⋊C₄	—	2	2	no	—
1031	C₄⋊C₄	—	2	2	no	—
1032	C₄⋊C₄	—	2	2	no	—
1033	C₄⋊C₄	—	2	2	no	—
1034	C₄⋊C₄	—	2	2	no	—
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	2	2	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	2	2	no	—
1041	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1042	C₄⋊C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
1043	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1044	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1045	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1046	C₄⋊C₄	C₂⁴×C₁₇	1	2	yes	—
1047	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1048	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1049	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1050	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1051	C₄⋊C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1052	C₂²⋊C₄	—	2	1	no	—
1053	C₂²⋊C₄	—	2	1	no	—
1054	C₂²⋊C₄	—	2	1	no	—
1055	C₂²⋊C₄	—	2	1	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	1	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	1	no	—
1062	C₂²⋊C₄	—	2	1	no	—
1063	C₂²⋊C₄	—	2	2	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	1	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	no	—
1069	C₂²⋊C₄	—	2	2	no	—
1070	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1071	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1072	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1073	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1074	C₂²⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
1075	C₄²	—	2	1	no	—
1076	C₄²	—	2	1	no	—
1077	C₄²	—	2	1	no	—
1078	C₄²	—	2	1	no	—
1079	C₄²	—	2	2	no	—
1080	C₄²	—	2	2	no	—
1081	C₄²	—	2	2	no	—
1082	C₄²	—	2	2	no	—
1083	C₄²	—	2	2	no	—
1084	C₄²	—	2	1	no	—
1085	C₄²	C₂⁴×C₁₇	1	2	yes	—
1086	C₂³	—	2	2	no	—
1087	C₂³	—	2	2	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	4	1	no	—
1090	C₂³	—	4	1	no	—
1091	C₂³	—	4	2	no	—
1092	C₂³	—	8	1	no	—
1093	C₂³	—	8	1	no	—
1094	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1095	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1096	C₂³	C₂²×D₄×C₁₇	1	2	yes	—
1097	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
1098	Q₈	—	2	4	no	—
1099	Q₈	—	2	2	no	—
1100	Q₈	—	2	2	no	—
1101	Q₈	—	2	2	no	—
1102	Q₈	—	2	1	no	—
1103	Q₈	—	2	2	no	—
1104	Q₈	—	2	1	no	—
1105	Q₈	—	4	4	no	—
1106	Q₈	—	4	2	no	—
1107	Q₈	—	8	2	no	—
1108	Q₈	C₂×#41×C₁₇	1	4	yes	—
1109	D₄	—	2	4	no	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	2	1	no	—
1113	D₄	—	2	2	no	—
1114	D₄	—	2	1	no	—
1115	D₄	—	4	2	no	—
1116	D₄	—	4	2	no	—
1117	D₄	—	4	4	no	—
1118	D₄	—	4	4	no	—
1119	D₄	—	4	4	no	—
1120	D₄	—	4	2	no	—
1121	D₄	—	4	2	no	—
1122	D₄	—	8	2	no	—
1123	D₄	—	8	2	no	—
1124	D₄	—	8	2	no	—
1125	D₄	—	8	1	no	—
1126	D₄	—	8	2	no	—
1127	D₄	—	8	1	no	—
1128	C₂×C₄	—	2	2	no	—
1129	C₂×C₄	—	2	4	no	—
1130	C₂×C₄	—	2	2	no	—
1131	C₂×C₄	—	2	2	no	—
1132	C₂×C₄	—	2	2	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	4	4	no	—
1149	C₂×C₄	—	4	4	no	—
1150	C₂×C₄	—	4	4	no	—
1151	C₂×C₄	—	4	4	no	—
1152	C₂×C₄	—	4	2	no	—
1153	C₂×C₄	—	4	2	no	—
1154	C₂×C₄	—	4	2	no	—
1155	C₂×C₄	—	8	2	no	—
1156	C₂×C₄	—	8	1	no	—
1157	C₂×C₄	—	8	1	no	—
1158	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1159	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1160	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1161	C₂×C₄	C₂²×D₄×C₁₇	1	2	yes	—
1162	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1163	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
1164	C₂×C₄	C₂×#41×C₁₇	1	2	yes	—
1165	C₂×C₄	C₁₇×H(5,𝔽₂)	1	2	yes	—
1166	C₂×C₄	C₂⁵×C₁₇	1	1	yes	characteristic
1167	C₈	—	2	1	no	—
1168	C₈	—	2	1	no	—
1169	C₈	—	2	1	no	—
1170	C₈	—	2	1	no	—
1171	C₈	—	2	2	no	—
1172	C₈	—	2	2	no	—
1173	C₂²	—	2	1	no	—
1174	C₂²	—	2	1	no	—
1175	C₂²	—	2	1	no	—
1176	C₂²	—	2	1	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	1	no	—
1180	C₂²	—	2	1	no	—
1181	C₂²	—	2	1	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	2	1	no	—
1184	C₂²	—	4	1	no	—
1185	C₂²	—	4	2	no	—
1186	C₂²	—	4	1	no	—
1187	C₂²	—	4	2	no	—
1188	C₂²	—	4	1	no	—
1189	C₂²	—	4	2	no	—
1190	C₂²	—	8	2	no	—
1191	C₂²	—	8	4	no	—
1192	C₂²	C₁₇×#546	1	2	yes	—
1193	C₂²	C₂³×D₄×C₁₇	1	1	yes	characteristic
1194	C₄	—	2	1	no	—
1195	C₄	—	2	1	no	—
1196	C₄	—	2	4	no	—
1197	C₄	—	2	2	no	—
1198	C₄	—	2	2	no	—
1199	C₄	—	2	2	no	—
1200	C₄	—	4	1	no	—
1201	C₄	—	4	2	no	—
1202	C₄	—	4	1	no	—
1203	C₄	—	4	2	no	—
1204	C₄	—	4	1	no	—
1205	C₄	—	4	1	no	—
1206	C₄	—	4	1	no	—
1207	C₄	—	4	1	no	—
1208	C₄	—	4	1	no	—
1209	C₄	C₁₇×#546	1	2	yes	—
1210	C₄	C₂²×#41×C₁₇	1	1	yes	characteristic
1211	C₄	C₂×C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
1212	C₂	—	2	2	no	—
1213	C₂	—	4	1	no	—
1214	C₂	—	4	1	no	—
1215	C₂	—	4	2	no	—
1216	C₂	—	8	2	no	—
1217	C₂	—	8	1	no	—
1218	C₂	C₂×C₁₇×#546	1	1	yes	characteristic
1219	C₂	C₁₇×#3584	1	1	yes	characteristic
1220	C₂	C₁₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₇
prime radical	C₁₇×#3487	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₇ ◁ C₁₇×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₇×#3495	C₂	semidirect
3. C₁₇×#3333	C₂	semidirect
4. C₁₇×#3327	C₂	semidirect
5. C₁₇×#3317	C₂	semidirect
6. C₁₇×#3317	C₂	semidirect
7. C₁₇×#3316	C₂	semidirect
8. C₁₇×#3313	C₂	semidirect
9. C₁₇×#3304	C₂	semidirect
10. C₁₇×#3300	C₂	semidirect
11. C₁₇×#3136	C₂	semidirect
12. C₁₇×#3096	C₂	semidirect
13. C₁₇×#3091	C₂	semidirect
14. C₁₇×#3082	C₂	semidirect
15. C₁₇×#3057	C₂	semidirect
16. C₁₇×#3056	C₂	semidirect
17. C₁₇×#3043	C₂	semidirect
18. C₁₇×#3011	C₂	semidirect
19. C₂×C₁₇×#452	C₂	semidirect
20. C₁₇×#2950	C₂	semidirect
21. C₁₇×#2933	C₂	semidirect
22. C₁₇×#2898	C₂	semidirect
23. C₁₇×#2896	C₂	semidirect
31. C₁₇×#556	C₂²	semidirect
32. C₁₇×#554	C₂²	semidirect
34. C₁₇×#552	C₂²	semidirect
35. C₁₇×#552	C₂²	semidirect
62. C₁₇×#490	C₂²	semidirect
63. C₁₇×#489	C₂²	semidirect
64. C₁₇×#488	C₂²	semidirect
65. C₁₇×#486	C₂²	semidirect
66. C₁₇×#485	C₂²	semidirect
67. C₁₇×#485	C₂²	semidirect
68. C₁₇×#484	C₂²	semidirect
69. C₁₇×#483	C₂²	semidirect
70. C₁₇×#482	C₂²	semidirect
71. C₁₇×#482	C₂²	semidirect
72. C₁₇×#482	C₂²	semidirect
73. C₁₇×#482	C₂²	semidirect
74. C₁₇×#481	C₂²	semidirect
75. C₁₇×#481	C₂²	semidirect
76. C₁₇×#480	C₂²	semidirect
77. C₁₇×#480	C₂²	semidirect
78. C₁₇×#479	C₂²	semidirect
79. C₁₇×#479	C₂²	semidirect
80. C₁₇×#477	C₂²	semidirect
81. C₁₇×#475	C₂²	semidirect
82. C₁₇×#470	C₂²	semidirect
83. C₁₇×#468	C₂²	semidirect
84. C₁₇×#468	C₂²	semidirect
85. C₁₇×#468	C₂²	semidirect
86. C₁₇×#467	C₂²	semidirect
87. C₁₇×#465	C₂²	semidirect
88. C₁₇×#465	C₂²	semidirect
89. C₁₇×#465	C₂²	semidirect
90. C₁₇×#464	C₂²	semidirect
91. C₁₇×#464	C₂²	semidirect
92. C₁₇×#460	C₂²	semidirect
93. C₁₇×#460	C₂²	semidirect
98. C₁₇×#452	C₂²	semidirect
99. C₁₇×#452	C₂²	semidirect
100. C₁₇×#451	C₂²	semidirect
101. C₁₇×#451	C₂²	semidirect
102. C₁₇×#441	C₂²	semidirect
103. C₁₇×#441	C₂²	semidirect
104. C₄×Q₁₆×C₁₇	C₂²	semidirect
105. C₄×Q₁₆×C₁₇	C₂²	semidirect
106. C₁₇×#436	C₂²	semidirect
107. C₁₇×#435	C₂²	semidirect
108. C₁₇×#435	C₂²	semidirect
109. C₈×D₄×C₁₇	C₂²	semidirect
117. C₁₇×#419	C₂²	semidirect
123. C₁₇×#417	C₂²	semidirect
128. C₁₇×#416	C₂²	semidirect
130. C₂×C₁₇×#103	C₂²	semidirect
475. #61190	C₁₇	direct (N × H)
563. #3495	C₂×C₁₇	semidirect
565. #3333	C₂×C₁₇	semidirect
566. #3327	C₂×C₁₇	semidirect
567. #3317	C₂×C₁₇	semidirect
568. #3317	C₂×C₁₇	semidirect
569. #3316	C₂×C₁₇	semidirect
570. #3313	C₂×C₁₇	semidirect
571. #3304	C₂×C₁₇	semidirect
572. #3300	C₂×C₁₇	semidirect
573. #3136	C₂×C₁₇	semidirect
574. #3096	C₂×C₁₇	semidirect
575. #3091	C₂×C₁₇	semidirect
576. #3082	C₂×C₁₇	semidirect
577. #3057	C₂×C₁₇	semidirect
578. #3056	C₂×C₁₇	semidirect
579. #3043	C₂×C₁₇	semidirect
580. #3011	C₂×C₁₇	semidirect
581. C₂×#452	C₂×C₁₇	semidirect
582. #2950	C₂×C₁₇	semidirect
583. #2933	C₂×C₁₇	semidirect
584. #2898	C₂×C₁₇	semidirect
585. #2896	C₂×C₁₇	semidirect
632. #556	C₂²×C₁₇	semidirect
633. #554	C₂²×C₁₇	semidirect
635. #552	C₂²×C₁₇	semidirect
636. #552	C₂²×C₁₇	semidirect
663. #490	C₂²×C₁₇	semidirect
664. #489	C₂²×C₁₇	semidirect
665. #488	C₂²×C₁₇	semidirect
666. #486	C₂²×C₁₇	semidirect
667. #485	C₂²×C₁₇	semidirect
668. #485	C₂²×C₁₇	semidirect
669. #484	C₂²×C₁₇	semidirect
670. #483	C₂²×C₁₇	semidirect
671. #482	C₂²×C₁₇	semidirect
672. #482	C₂²×C₁₇	semidirect
673. #482	C₂²×C₁₇	semidirect
674. #482	C₂²×C₁₇	semidirect
675. #481	C₂²×C₁₇	semidirect
676. #481	C₂²×C₁₇	semidirect
677. #480	C₂²×C₁₇	semidirect
678. #480	C₂²×C₁₇	semidirect
679. #479	C₂²×C₁₇	semidirect
680. #479	C₂²×C₁₇	semidirect
681. #477	C₂²×C₁₇	semidirect
682. #475	C₂²×C₁₇	semidirect
683. #470	C₂²×C₁₇	semidirect
684. #468	C₂²×C₁₇	semidirect
685. #468	C₂²×C₁₇	semidirect
686. #468	C₂²×C₁₇	semidirect
687. #467	C₂²×C₁₇	semidirect
688. #465	C₂²×C₁₇	semidirect
689. #465	C₂²×C₁₇	semidirect
690. #465	C₂²×C₁₇	semidirect
691. #464	C₂²×C₁₇	semidirect
692. #464	C₂²×C₁₇	semidirect
693. #460	C₂²×C₁₇	semidirect
694. #460	C₂²×C₁₇	semidirect
699. #452	C₂²×C₁₇	semidirect
700. #452	C₂²×C₁₇	semidirect
701. #451	C₂²×C₁₇	semidirect
702. #451	C₂²×C₁₇	semidirect
703. #441	C₂²×C₁₇	semidirect
704. #441	C₂²×C₁₇	semidirect
705. C₄×Q₁₆	C₂²×C₁₇	semidirect
706. C₄×Q₁₆	C₂²×C₁₇	semidirect
707. #436	C₂²×C₁₇	semidirect
708. #435	C₂²×C₁₇	semidirect
709. #435	C₂²×C₁₇	semidirect
710. C₈×D₄	C₂²×C₁₇	semidirect
718. #419	C₂²×C₁₇	semidirect
724. #417	C₂²×C₁₇	semidirect
729. #416	C₂²×C₁₇	semidirect
731. C₂×#103	C₂²×C₁₇	semidirect
931. C₁₇	#61190	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×#3495	2
C₁₇×#3487	2
C₁₇×#3333	2
C₁₇×#3327	2
C₁₇×#3317	2
C₁₇×#3316	2
C₁₇×#3313	2
C₁₇×#3304	2
C₁₇×#3300	2
C₁₇×#3136	2
C₁₇×#3096	2
C₁₇×#3091	2
C₁₇×#3082	2
C₁₇×#3057	2
C₁₇×#3056	2
C₁₇×#3043	2
C₁₇×#3011	2
C₂×C₁₇×#452	2
C₁₇×#2950	2
C₁₇×#2933	2
C₁₇×#2898	2
C₁₇×#2896	2
#61190	17

Subgroups — C17×#61190 #16918934

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#61190 #16918934