Subgroups — C₁₇×#36889 #16894633

Order 4352.

1740 conjugacy classes of subgroups.

The subgroup lattice has 1500 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#2853	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₇×#2852	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₇×#2808	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#2797	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₇×#2795	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#2780	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#2775	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₇×#2757	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#2753	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#2747	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#2740	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#2735	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#2721	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#2707	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#2686	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₇×#2685	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₇×#2684	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₇×#2678	C₂	1	1	yes	maximal, characteristic
19	C₁₇×#2636	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₇×#2630	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₇×#2531	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₇×#2529	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₇×#2517	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₇×#2480	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₇×#2469	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₇×#2460	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₇×#2458	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₇×#2418	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₇×#2326	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₇×#2321	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₇×#126	C₂²	1	1	yes	characteristic
33	C₂×C₁₇×#126	C₂²	1	1	yes	characteristic
34	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₇×#124	C₂²	1	1	yes	characteristic
36	C₂×C₁₇×#123	C₂²	1	1	yes	characteristic
37	C₂×C₁₇×#123	C₂²	1	1	yes	characteristic
38	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic
39	C₂×C₁₇×#120	C₂²	1	1	yes	characteristic
40	C₂×C₁₇×#120	C₂²	1	1	yes	characteristic
41	C₂×C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₁₇	C₂²	1	1	yes	characteristic, complemented
47	C₁₇×#400	C₂²	1	1	yes	characteristic, complemented
48	C₁₇×#400	C₂²	1	1	yes	characteristic, complemented
49	C₁₇×#400	C₂²	1	1	yes	characteristic, complemented
50	C₁₇×#399	C₂²	1	1	yes	characteristic
51	C₁₇×#399	C₂²	1	1	yes	characteristic
52	C₁₇×#399	C₂²	1	1	yes	characteristic
53	C₁₇×#398	C₂²	1	1	yes	characteristic, complemented
54	C₁₇×#398	C₂²	1	1	yes	characteristic, complemented
55	C₁₇×#398	C₂²	1	1	yes	characteristic, complemented
56	C₁₇×#398	C₂²	1	1	yes	characteristic, complemented
57	C₁₇×#397	C₂²	1	1	yes	characteristic
58	C₁₇×#397	C₂²	1	1	yes	characteristic
59	C₁₇×#397	C₂²	1	1	yes	characteristic
60	C₁₇×#397	C₂²	1	1	yes	characteristic
61	C₁₇×#397	C₂²	1	1	yes	characteristic
62	C₁₇×#397	C₂²	1	1	yes	characteristic
63	C₁₇×#397	C₂²	1	1	yes	characteristic
64	C₁₇×#397	C₂²	1	1	yes	characteristic
65	C₁₇×#397	C₂²	1	1	yes	characteristic
66	C₁₇×#397	C₂²	1	1	yes	characteristic
67	C₁₇×#397	C₂²	1	1	yes	characteristic, complemented
68	C₁₇×#397	C₂²	1	1	yes	characteristic, complemented
69	C₁₇×#396	C₂²	1	1	yes	characteristic
70	C₁₇×#396	C₂²	1	1	yes	characteristic
71	C₁₇×#396	C₂²	1	1	yes	characteristic
72	C₁₇×#396	C₂²	1	1	yes	characteristic
73	C₁₇×#396	C₂²	1	1	yes	characteristic
74	C₁₇×#396	C₂²	1	1	yes	characteristic, complemented
75	C₁₇×#396	C₂²	1	1	yes	characteristic, complemented
76	C₁₇×#396	C₂²	1	1	yes	characteristic, complemented
77	C₁₇×#395	C₂²	1	1	yes	characteristic, complemented
78	C₁₇×#394	C₂²	1	1	yes	characteristic
79	C₁₇×#394	C₂²	1	1	yes	characteristic
80	C₁₇×#394	C₂²	1	1	yes	characteristic
81	C₁₇×#394	C₂²	1	1	yes	characteristic
82	C₁₇×#394	C₂²	1	1	yes	characteristic
83	C₁₇×#394	C₂²	1	1	yes	characteristic
84	C₁₇×#394	C₂²	1	1	yes	characteristic
85	C₁₇×#394	C₂²	1	1	yes	characteristic
86	C₁₇×#394	C₂²	1	1	yes	characteristic
87	C₁₇×#394	C₂²	1	1	yes	characteristic
88	C₁₇×#394	C₂²	1	1	yes	characteristic, complemented
89	C₁₇×#394	C₂²	1	1	yes	characteristic, complemented
90	C₁₇×#393	C₂²	1	1	yes	characteristic
91	C₁₇×#393	C₂²	1	1	yes	characteristic
92	C₁₇×#393	C₂²	1	1	yes	characteristic, complemented
93	C₁₇×#392	C₂²	1	1	yes	characteristic
94	C₁₇×#392	C₂²	1	1	yes	characteristic
95	C₁₇×#391	C₂²	1	1	yes	characteristic, complemented
96	C₁₇×#390	C₂²	1	1	yes	characteristic
97	C₁₇×#390	C₂²	1	1	yes	characteristic
98	C₁₇×#390	C₂²	1	1	yes	characteristic
99	C₁₇×#390	C₂²	1	1	yes	characteristic
100	C₁₇×#390	C₂²	1	1	yes	characteristic
101	C₁₇×#390	C₂²	1	1	yes	characteristic
102	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
103	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
104	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
105	C₁₇×#388	C₂²	1	1	yes	characteristic
106	C₁₇×#388	C₂²	1	1	yes	characteristic
107	C₁₇×#388	C₂²	1	1	yes	characteristic
108	C₁₇×#388	C₂²	1	1	yes	characteristic
109	C₁₇×#388	C₂²	1	1	yes	characteristic
110	C₁₇×#388	C₂²	1	1	yes	characteristic
111	C₁₇×#388	C₂²	1	1	yes	characteristic
112	C₁₇×#388	C₂²	1	1	yes	characteristic
113	C₁₇×#388	C₂²	1	1	yes	characteristic
114	C₁₇×#388	C₂²	1	1	yes	characteristic
115	C₁₇×#388	C₂²	1	1	yes	characteristic
116	C₁₇×#388	C₂²	1	1	yes	characteristic
117	C₁₇×#388	C₂²	1	1	yes	characteristic
118	C₁₇×#388	C₂²	1	1	yes	characteristic
119	C₁₇×#388	C₂²	1	1	yes	characteristic
120	C₁₇×#388	C₂²	1	1	yes	characteristic
121	C₁₇×#388	C₂²	1	1	yes	characteristic
122	C₁₇×#388	C₂²	1	1	yes	characteristic
123	C₁₇×#388	C₂²	1	1	yes	characteristic
124	C₁₇×#388	C₂²	1	1	yes	characteristic
125	C₁₇×#388	C₂²	1	1	yes	characteristic
126	C₁₇×#388	C₂²	1	1	yes	characteristic, complemented
127	C₁₇×#388	C₂²	1	1	yes	characteristic, complemented
128	C₁₇×#388	C₂²	1	1	yes	characteristic, complemented
129	C₁₇×#388	C₂²	1	1	yes	characteristic, complemented
130	C₁₇×#388	C₂²	1	1	yes	characteristic, complemented
131	C₁₇×#388	C₂²	1	1	yes	characteristic, complemented
132	C₁₇×#388	C₂²	1	1	yes	characteristic, complemented
133	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
134	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
135	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
136	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
137	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
138	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
139	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
140	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
141	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
142	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
143	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
144	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
145	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
146	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
147	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
148	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
149	C₁₇×#386	C₂²	1	1	yes	characteristic
150	C₁₇×#386	C₂²	1	1	yes	characteristic
151	C₁₇×#386	C₂²	1	1	yes	characteristic
152	C₁₇×#386	C₂²	1	1	yes	characteristic
153	C₁₇×#386	C₂²	1	1	yes	characteristic
154	C₁₇×#386	C₂²	1	1	yes	characteristic
155	C₁₇×#386	C₂²	1	1	yes	characteristic
156	C₁₇×#386	C₂²	1	1	yes	characteristic
157	C₁₇×#386	C₂²	1	1	yes	characteristic
158	C₁₇×#386	C₂²	1	1	yes	characteristic, complemented
159	C₁₇×#385	C₂²	1	1	yes	characteristic
160	C₁₇×#385	C₂²	1	1	yes	characteristic
161	C₁₇×#385	C₂²	1	1	yes	characteristic
162	C₁₇×#385	C₂²	1	1	yes	characteristic
163	C₁₇×#385	C₂²	1	1	yes	characteristic, complemented
164	C₁₇×#385	C₂²	1	1	yes	characteristic, complemented
165	C₁₇×#385	C₂²	1	1	yes	characteristic, complemented
166	C₁₇×#385	C₂²	1	1	yes	characteristic, complemented
167	C₁₇×#385	C₂²	1	1	yes	characteristic, complemented
168	C₁₇×#385	C₂²	1	1	yes	characteristic, complemented
169	C₁₇×#384	C₂²	1	1	yes	characteristic, complemented
170	C₁₇×#383	C₂²	1	1	yes	characteristic, complemented
171	C₁₇×#382	C₂²	1	1	yes	characteristic, complemented
172	C₁₇×#382	C₂²	1	1	yes	characteristic, complemented
173	C₁₇×#381	C₂²	1	1	yes	characteristic, complemented
174	C₁₇×#380	C₂²	1	1	yes	characteristic
175	C₁₇×#380	C₂²	1	1	yes	characteristic
176	C₁₇×#380	C₂²	1	1	yes	characteristic, complemented
177	C₁₇×#380	C₂²	1	1	yes	characteristic, complemented
178	C₁₇×#379	C₂²	1	1	yes	characteristic
179	C₁₇×#379	C₂²	1	1	yes	characteristic
180	C₁₇×#379	C₂²	1	1	yes	characteristic
181	C₁₇×#379	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
186	C₁₇×#376	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₁₇	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
202	C₁₇×#126	—	4	2	no	—
203	C₁₇×#126	—	4	2	no	—
204	C₁₇×#125	—	4	2	no	—
205	C₁₇×#124	—	2	4	no	—
206	C₁₇×#123	—	4	2	no	—
207	C₁₇×#123	—	4	2	no	—
208	C₁₇×#121	—	2	4	no	—
209	C₁₇×#120	—	2	4	no	—
210	C₁₇×#120	—	4	2	no	—
211	C₄×Q₈×C₁₇	—	4	2	no	—
212	C₄×D₄×C₁₇	—	4	2	no	—
213	C₄×D₄×C₁₇	—	4	2	no	—
214	C₄×D₄×C₁₇	—	4	2	no	—
215	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊C₄×C₁₇	—	4	2	no	—
248	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₁₇	—	4	2	no	—
301	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
313	C₁₇×#95	C₂³	1	1	yes	characteristic
314	C₁₇×#95	C₂³	1	1	yes	characteristic
315	C₁₇×#95	C₂³	1	1	yes	characteristic
316	C₁₇×#95	C₂³	1	1	yes	characteristic
317	C₁₇×#95	C₂³	1	1	yes	characteristic
318	C₁₇×#95	C₂³	1	1	yes	characteristic
319	C₁₇×#95	C₂³	1	1	yes	characteristic
320	C₁₇×#95	C₂³	1	1	yes	characteristic
321	C₁₇×#95	C₂³	1	1	yes	characteristic
322	C₁₇×#95	C₂³	1	1	yes	characteristic
323	C₁₇×#95	C₂³	1	1	yes	characteristic
324	C₁₇×#95	C₂³	1	1	yes	characteristic
325	C₁₇×#95	C₂³	1	1	yes	characteristic
326	C₁₇×#95	C₂³	1	1	yes	characteristic
327	C₁₇×#95	C₂³	1	1	yes	characteristic
328	C₁₇×#95	C₂³	1	1	yes	characteristic
329	C₁₇×#95	C₂³	1	1	yes	characteristic
330	C₁₇×#95	C₂³	1	1	yes	characteristic
331	C₁₇×#95	C₂³	1	1	yes	characteristic
332	C₁₇×#95	C₂³	1	1	yes	characteristic
333	C₁₇×#95	C₂³	1	1	yes	characteristic
334	C₁₇×#95	C₂³	1	1	yes	characteristic
335	C₁₇×#95	C₂³	1	1	yes	characteristic
336	C₁₇×#95	C₂³	1	1	yes	characteristic
337	C₁₇×#95	C₂³	1	1	yes	characteristic
338	C₁₇×#95	C₂³	1	1	yes	characteristic
339	C₁₇×#95	C₂³	1	1	yes	characteristic
340	C₁₇×#95	C₂³	1	1	yes	characteristic
341	C₁₇×#95	C₂³	1	1	yes	characteristic
342	C₁₇×#95	C₂³	1	1	yes	characteristic
343	C₁₇×#95	C₂³	1	1	yes	characteristic
344	C₁₇×#95	C₂³	1	1	yes	characteristic
345	C₁₇×#95	C₂³	1	1	yes	characteristic
346	C₁₇×#95	C₂³	1	1	yes	characteristic
347	C₁₇×#95	C₂³	1	1	yes	characteristic
348	C₁₇×#95	C₂³	1	1	yes	characteristic
349	C₁₇×#95	C₂³	1	1	yes	characteristic
350	C₁₇×#95	C₂³	1	1	yes	characteristic
351	C₁₇×#95	C₂³	1	1	yes	characteristic
352	C₁₇×#95	C₂³	1	1	yes	characteristic
353	C₁₇×#95	C₂³	1	1	yes	characteristic
354	C₁₇×#95	C₂³	1	1	yes	characteristic
355	C₁₇×#95	C₂³	1	1	yes	characteristic
356	C₁₇×#95	C₂³	1	1	yes	characteristic
357	C₂⁴×C₁₇	—	2	2	no	—
358	C₂⁴×C₁₇	—	4	1	no	—
359	C₂⁴×C₁₇	—	4	1	no	—
360	C₂⁴×C₁₇	—	4	1	no	—
361	C₂⁴×C₁₇	—	4	1	no	—
362	C₂⁴×C₁₇	—	4	1	no	—
363	C₂⁴×C₁₇	—	4	1	no	—
364	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
369	C₂×Q₈×C₁₇	—	2	2	no	—
370	C₂×Q₈×C₁₇	—	4	1	no	—
371	C₂×Q₈×C₁₇	—	4	1	no	—
372	C₂×D₄×C₁₇	—	2	2	no	—
373	C₂×D₄×C₁₇	—	2	2	no	—
374	C₂×D₄×C₁₇	—	2	2	no	—
375	C₂×D₄×C₁₇	—	2	2	no	—
376	C₂×D₄×C₁₇	—	2	2	no	—
377	C₂×D₄×C₁₇	—	4	1	no	—
378	C₂×D₄×C₁₇	—	4	1	no	—
379	C₂×D₄×C₁₇	—	4	1	no	—
380	C₂×D₄×C₁₇	—	4	1	no	—
381	C₂×D₄×C₁₇	—	4	1	no	—
382	C₂×D₄×C₁₇	—	4	1	no	—
383	C₂×D₄×C₁₇	—	4	1	no	—
384	C₂×D₄×C₁₇	—	4	1	no	—
385	C₂×D₄×C₁₇	—	4	1	no	—
386	C₂×D₄×C₁₇	—	4	1	no	—
387	C₂×D₄×C₁₇	—	4	1	no	—
388	C₂×D₄×C₁₇	—	4	1	no	—
389	C₂×D₄×C₁₇	—	4	1	no	—
390	C₂×D₄×C₁₇	—	4	1	no	—
391	C₂×D₄×C₁₇	—	4	1	no	—
392	C₂×D₄×C₁₇	#41	1	4	yes	—
393	C₂²×C₄×C₁₇	—	2	2	no	—
394	C₂²×C₄×C₁₇	—	2	2	no	—
395	C₂²×C₄×C₁₇	—	2	2	no	—
396	C₂²×C₄×C₁₇	—	2	2	no	—
397	C₂²×C₄×C₁₇	—	2	2	no	—
398	C₂²×C₄×C₁₇	—	4	1	no	—
399	C₂²×C₄×C₁₇	—	4	1	no	—
400	C₂²×C₄×C₁₇	—	4	1	no	—
401	C₂²×C₄×C₁₇	—	4	1	no	—
402	C₂²×C₄×C₁₇	—	4	1	no	—
403	C₂²×C₄×C₁₇	—	4	1	no	—
404	C₂²×C₄×C₁₇	—	4	1	no	—
405	C₂²×C₄×C₁₇	—	4	1	no	—
406	C₂²×C₄×C₁₇	—	4	1	no	—
407	C₂²×C₄×C₁₇	—	4	1	no	—
408	C₂²×C₄×C₁₇	—	4	1	no	—
409	C₂²×C₄×C₁₇	—	4	1	no	—
410	C₂²×C₄×C₁₇	—	4	1	no	—
411	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
437	C₄⋊C₄×C₁₇	—	2	2	no	—
438	C₄⋊C₄×C₁₇	—	2	2	no	—
439	C₄⋊C₄×C₁₇	—	2	2	no	—
440	C₄⋊C₄×C₁₇	—	2	2	no	—
441	C₄⋊C₄×C₁₇	—	2	2	no	—
442	C₄⋊C₄×C₁₇	—	2	2	no	—
443	C₄⋊C₄×C₁₇	—	4	1	no	—
444	C₄⋊C₄×C₁₇	—	4	1	no	—
445	C₄⋊C₄×C₁₇	—	4	1	no	—
446	C₄⋊C₄×C₁₇	—	4	1	no	—
447	C₄⋊C₄×C₁₇	—	4	1	no	—
448	C₄⋊C₄×C₁₇	—	4	1	no	—
449	C₄⋊C₄×C₁₇	—	4	1	no	—
450	C₄⋊C₄×C₁₇	—	4	1	no	—
451	C₄⋊C₄×C₁₇	—	4	1	no	—
452	C₄⋊C₄×C₁₇	—	4	1	no	—
453	C₄⋊C₄×C₁₇	—	4	1	no	—
454	C₄⋊C₄×C₁₇	—	4	1	no	—
455	C₄⋊C₄×C₁₇	—	4	1	no	—
456	C₄⋊C₄×C₁₇	—	4	1	no	—
457	C₄⋊C₄×C₁₇	—	4	1	no	—
458	C₄⋊C₄×C₁₇	—	4	1	no	—
459	C₄⋊C₄×C₁₇	—	4	1	no	—
460	C₄⋊C₄×C₁₇	—	4	1	no	—
461	C₄⋊C₄×C₁₇	—	4	1	no	—
462	C₄⋊C₄×C₁₇	—	4	1	no	—
463	C₄⋊C₄×C₁₇	—	4	1	no	—
464	C₄⋊C₄×C₁₇	—	4	1	no	—
465	C₄⋊C₄×C₁₇	—	4	1	no	—
466	C₄⋊C₄×C₁₇	—	4	1	no	—
467	C₄⋊C₄×C₁₇	—	4	1	no	—
468	C₄⋊C₄×C₁₇	—	4	1	no	—
469	C₂²⋊C₄×C₁₇	—	2	2	no	—
470	C₂²⋊C₄×C₁₇	—	2	2	no	—
471	C₂²⋊C₄×C₁₇	—	2	2	no	—
472	C₂²⋊C₄×C₁₇	—	2	2	no	—
473	C₂²⋊C₄×C₁₇	—	2	2	no	—
474	C₂²⋊C₄×C₁₇	—	2	2	no	—
475	C₂²⋊C₄×C₁₇	—	2	2	no	—
476	C₂²⋊C₄×C₁₇	—	2	2	no	—
477	C₂²⋊C₄×C₁₇	—	2	2	no	—
478	C₂²⋊C₄×C₁₇	—	2	2	no	—
479	C₂²⋊C₄×C₁₇	—	2	2	no	—
480	C₂²⋊C₄×C₁₇	—	2	2	no	—
481	C₂²⋊C₄×C₁₇	—	2	2	no	—
482	C₂²⋊C₄×C₁₇	—	4	1	no	—
483	C₂²⋊C₄×C₁₇	—	4	1	no	—
484	C₂²⋊C₄×C₁₇	—	4	1	no	—
485	C₂²⋊C₄×C₁₇	—	4	1	no	—
486	C₂²⋊C₄×C₁₇	—	4	1	no	—
487	C₂²⋊C₄×C₁₇	—	4	1	no	—
488	C₂²⋊C₄×C₁₇	—	4	1	no	—
489	C₂²⋊C₄×C₁₇	—	4	1	no	—
490	C₂²⋊C₄×C₁₇	—	4	1	no	—
491	C₂²⋊C₄×C₁₇	—	4	1	no	—
492	C₂²⋊C₄×C₁₇	—	4	1	no	—
493	C₂²⋊C₄×C₁₇	—	4	1	no	—
494	C₂²⋊C₄×C₁₇	—	4	1	no	—
495	C₂²⋊C₄×C₁₇	—	4	1	no	—
496	C₂²⋊C₄×C₁₇	—	4	1	no	—
497	C₂²⋊C₄×C₁₇	—	4	1	no	—
498	C₂²⋊C₄×C₁₇	—	4	1	no	—
499	C₂²⋊C₄×C₁₇	—	4	1	no	—
500	C₂²⋊C₄×C₁₇	—	4	1	no	—
501	C₂²⋊C₄×C₁₇	—	4	1	no	—
502	C₂²⋊C₄×C₁₇	—	4	1	no	—
503	C₂²⋊C₄×C₁₇	—	4	1	no	—
504	C₂²⋊C₄×C₁₇	—	4	1	no	—
505	C₂²⋊C₄×C₁₇	—	4	1	no	—
506	C₂²⋊C₄×C₁₇	—	4	1	no	—
507	C₂²⋊C₄×C₁₇	—	4	1	no	—
508	C₂²⋊C₄×C₁₇	—	4	1	no	—
509	C₂²⋊C₄×C₁₇	—	4	1	no	—
510	C₂²⋊C₄×C₁₇	—	4	1	no	—
511	C₂²⋊C₄×C₁₇	—	4	1	no	—
512	C₂²⋊C₄×C₁₇	—	4	1	no	—
513	C₂²⋊C₄×C₁₇	—	4	1	no	—
514	C₂²⋊C₄×C₁₇	—	4	1	no	—
515	C₂²⋊C₄×C₁₇	—	4	1	no	—
516	C₂²⋊C₄×C₁₇	—	4	1	no	—
517	C₂²⋊C₄×C₁₇	—	4	1	no	—
518	C₂²⋊C₄×C₁₇	—	4	1	no	—
519	C₂²⋊C₄×C₁₇	—	4	1	no	—
520	C₂²⋊C₄×C₁₇	—	4	1	no	—
521	C₄²×C₁₇	—	2	2	no	—
522	C₄²×C₁₇	—	2	2	no	—
523	C₄²×C₁₇	—	2	2	no	—
524	C₄²×C₁₇	—	2	2	no	—
525	C₄²×C₁₇	—	2	2	no	—
526	C₄²×C₁₇	—	4	1	no	—
527	C₄²×C₁₇	—	4	1	no	—
528	C₄²×C₁₇	—	4	1	no	—
529	C₄²×C₁₇	—	4	1	no	—
530	C₄²×C₁₇	—	4	1	no	—
531	C₄²×C₁₇	—	4	1	no	—
532	C₄²×C₁₇	—	4	1	no	—
533	#36889	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
534	C₂³×C₁₇	—	2	1	no	—
535	C₂³×C₁₇	—	2	1	no	—
536	C₂³×C₁₇	—	2	1	no	—
537	C₂³×C₁₇	—	2	1	no	—
538	C₂³×C₁₇	—	2	1	no	—
539	C₂³×C₁₇	—	2	1	no	—
540	C₂³×C₁₇	—	2	1	no	—
541	C₂³×C₁₇	—	2	1	no	—
542	C₂³×C₁₇	—	2	1	no	—
543	C₂³×C₁₇	—	2	1	no	—
544	C₂³×C₁₇	—	2	1	no	—
545	C₂³×C₁₇	—	2	1	no	—
546	C₂³×C₁₇	—	2	1	no	—
547	C₂³×C₁₇	—	2	1	no	—
548	C₂³×C₁₇	—	2	1	no	—
549	C₂³×C₁₇	—	2	1	no	—
550	C₂³×C₁₇	—	2	1	no	—
551	C₂³×C₁₇	—	2	1	no	—
552	C₂³×C₁₇	—	2	1	no	—
553	C₂³×C₁₇	—	2	1	no	—
554	C₂³×C₁₇	—	2	1	no	—
555	C₂³×C₁₇	—	2	1	no	—
556	C₂³×C₁₇	—	2	1	no	—
557	C₂³×C₁₇	—	2	1	no	—
558	C₂³×C₁₇	—	2	1	no	—
559	C₂³×C₁₇	—	2	1	no	—
560	C₂³×C₁₇	—	2	1	no	—
561	C₂³×C₁₇	—	2	1	no	—
562	C₂³×C₁₇	—	2	1	no	—
563	C₂³×C₁₇	—	2	1	no	—
564	C₂³×C₁₇	—	2	1	no	—
565	C₂³×C₁₇	—	2	1	no	—
566	C₂³×C₁₇	—	2	1	no	—
567	C₂³×C₁₇	—	4	4	no	—
568	C₂³×C₁₇	—	8	2	no	—
569	C₂³×C₁₇	—	8	2	no	—
570	C₂³×C₁₇	—	8	2	no	—
571	C₂³×C₁₇	—	8	2	no	—
572	C₂³×C₁₇	—	8	2	no	—
573	C₂³×C₁₇	—	8	2	no	—
574	C₂³×C₁₇	C₂×#41	1	2	yes	—
575	C₂³×C₁₇	C₂×#41	1	2	yes	—
576	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
577	Q₈×C₁₇	—	4	4	no	—
578	D₄×C₁₇	—	4	4	no	—
579	D₄×C₁₇	—	4	4	no	—
580	D₄×C₁₇	—	4	4	no	—
581	D₄×C₁₇	—	8	2	no	—
582	D₄×C₁₇	—	8	2	no	—
583	D₄×C₁₇	—	8	2	no	—
584	D₄×C₁₇	—	8	2	no	—
585	C₂×C₄×C₁₇	—	2	1	no	—
586	C₂×C₄×C₁₇	—	2	1	no	—
587	C₂×C₄×C₁₇	—	2	1	no	—
588	C₂×C₄×C₁₇	—	2	1	no	—
589	C₂×C₄×C₁₇	—	2	1	no	—
590	C₂×C₄×C₁₇	—	2	1	no	—
591	C₂×C₄×C₁₇	—	2	1	no	—
592	C₂×C₄×C₁₇	—	2	1	no	—
593	C₂×C₄×C₁₇	—	2	1	no	—
594	C₂×C₄×C₁₇	—	2	1	no	—
595	C₂×C₄×C₁₇	—	2	1	no	—
596	C₂×C₄×C₁₇	—	2	1	no	—
597	C₂×C₄×C₁₇	—	2	1	no	—
598	C₂×C₄×C₁₇	—	2	1	no	—
599	C₂×C₄×C₁₇	—	2	1	no	—
600	C₂×C₄×C₁₇	—	2	1	no	—
601	C₂×C₄×C₁₇	—	2	1	no	—
602	C₂×C₄×C₁₇	—	2	1	no	—
603	C₂×C₄×C₁₇	—	2	1	no	—
604	C₂×C₄×C₁₇	—	2	1	no	—
605	C₂×C₄×C₁₇	—	2	1	no	—
606	C₂×C₄×C₁₇	—	2	1	no	—
607	C₂×C₄×C₁₇	—	2	1	no	—
608	C₂×C₄×C₁₇	—	2	1	no	—
609	C₂×C₄×C₁₇	—	2	1	no	—
610	C₂×C₄×C₁₇	—	2	1	no	—
611	C₂×C₄×C₁₇	—	2	1	no	—
612	C₂×C₄×C₁₇	—	2	1	no	—
613	C₂×C₄×C₁₇	—	2	1	no	—
614	C₂×C₄×C₁₇	—	2	1	no	—
615	C₂×C₄×C₁₇	—	2	1	no	—
616	C₂×C₄×C₁₇	—	2	1	no	—
617	C₂×C₄×C₁₇	—	2	1	no	—
618	C₂×C₄×C₁₇	—	2	1	no	—
619	C₂×C₄×C₁₇	—	2	1	no	—
620	C₂×C₄×C₁₇	—	2	1	no	—
621	C₂×C₄×C₁₇	—	2	1	no	—
622	C₂×C₄×C₁₇	—	2	1	no	—
623	C₂×C₄×C₁₇	—	2	1	no	—
624	C₂×C₄×C₁₇	—	2	1	no	—
625	C₂×C₄×C₁₇	—	2	1	no	—
626	C₂×C₄×C₁₇	—	2	1	no	—
627	C₂×C₄×C₁₇	—	2	1	no	—
628	C₂×C₄×C₁₇	—	2	1	no	—
629	C₂×C₄×C₁₇	—	2	1	no	—
630	C₂×C₄×C₁₇	—	2	1	no	—
631	C₂×C₄×C₁₇	—	2	1	no	—
632	C₂×C₄×C₁₇	—	2	1	no	—
633	C₂×C₄×C₁₇	—	2	1	no	—
634	C₂×C₄×C₁₇	—	2	1	no	—
635	C₂×C₄×C₁₇	—	2	1	no	—
636	C₂×C₄×C₁₇	—	2	1	no	—
637	C₂×C₄×C₁₇	—	2	1	no	—
638	C₂×C₄×C₁₇	—	2	1	no	—
639	C₂×C₄×C₁₇	—	2	1	no	—
640	C₂×C₄×C₁₇	—	2	1	no	—
641	C₂×C₄×C₁₇	—	2	1	no	—
642	C₂×C₄×C₁₇	—	2	1	no	—
643	C₂×C₄×C₁₇	—	2	1	no	—
644	C₂×C₄×C₁₇	—	2	1	no	—
645	C₂×C₄×C₁₇	—	2	1	no	—
646	C₂×C₄×C₁₇	—	2	1	no	—
647	C₂×C₄×C₁₇	—	2	1	no	—
648	C₂×C₄×C₁₇	—	2	1	no	—
649	C₂×C₄×C₁₇	—	2	1	no	—
650	C₂×C₄×C₁₇	—	2	1	no	—
651	C₂×C₄×C₁₇	—	2	1	no	—
652	C₂×C₄×C₁₇	—	2	1	no	—
653	C₂×C₄×C₁₇	—	2	1	no	—
654	C₂×C₄×C₁₇	—	2	1	no	—
655	C₂×C₄×C₁₇	—	2	1	no	—
656	C₂×C₄×C₁₇	—	2	1	no	—
657	C₂×C₄×C₁₇	—	2	1	no	—
658	C₂×C₄×C₁₇	—	2	1	no	—
659	C₂×C₄×C₁₇	—	2	1	no	—
660	C₂×C₄×C₁₇	—	4	4	no	—
661	C₂×C₄×C₁₇	—	4	4	no	—
662	C₂×C₄×C₁₇	—	4	4	no	—
663	C₂×C₄×C₁₇	—	8	2	no	—
664	C₂×C₄×C₁₇	—	8	2	no	—
665	C₂×C₄×C₁₇	—	8	2	no	—
666	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
667	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
668	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
669	#2853	C₂×C₁₇	1	1	yes	characteristic, complemented
670	#2852	C₂×C₁₇	1	1	yes	characteristic, complemented
671	#2808	C₂×C₁₇	1	1	yes	characteristic, complemented
672	#2797	C₂×C₁₇	1	1	yes	characteristic, complemented
673	#2795	C₂×C₁₇	1	1	yes	characteristic, complemented
674	#2780	C₂×C₁₇	1	1	yes	characteristic, complemented
675	#2775	C₂×C₁₇	1	1	yes	characteristic, complemented
676	#2757	C₂×C₁₇	1	1	yes	characteristic, complemented
677	#2753	C₂×C₁₇	1	1	yes	characteristic, complemented
678	#2747	C₂×C₁₇	1	1	yes	characteristic, complemented
679	#2740	C₂×C₁₇	1	1	yes	characteristic, complemented
680	#2735	C₂×C₁₇	1	1	yes	characteristic, complemented
681	#2721	C₂×C₁₇	1	1	yes	characteristic, complemented
682	#2707	C₂×C₁₇	1	1	yes	characteristic, complemented
683	#2686	C₂×C₁₇	1	1	yes	characteristic, complemented
684	#2685	C₂×C₁₇	1	1	yes	characteristic, complemented
685	#2684	C₂×C₁₇	1	1	yes	characteristic, complemented
686	#2678	C₂×C₁₇	1	1	yes	characteristic
687	#2636	C₂×C₁₇	1	1	yes	characteristic, complemented
688	#2630	C₂×C₁₇	1	1	yes	characteristic, complemented
689	#2531	C₂×C₁₇	1	1	yes	characteristic, complemented
690	#2529	C₂×C₁₇	1	1	yes	characteristic, complemented
691	#2517	C₂×C₁₇	1	1	yes	characteristic, complemented
692	#2480	C₂×C₁₇	1	1	yes	characteristic, complemented
693	#2469	C₂×C₁₇	1	1	yes	characteristic, complemented
694	#2460	C₂×C₁₇	1	1	yes	characteristic, complemented
695	#2458	C₂×C₁₇	1	1	yes	characteristic, complemented
696	#2418	C₂×C₁₇	1	1	yes	characteristic, complemented
697	#2326	C₂×C₁₇	1	1	yes	characteristic, complemented
698	#2321	C₂×C₁₇	1	1	yes	characteristic, complemented
699	C₄×#121	C₂×C₁₇	1	1	yes	characteristic, complemented
700	C₂²×C₁₇	—	2	2	no	—
701	C₂²×C₁₇	—	2	2	no	—
702	C₂²×C₁₇	—	2	2	no	—
703	C₂²×C₁₇	—	2	2	no	—
704	C₂²×C₁₇	—	2	2	no	—
705	C₂²×C₁₇	—	2	2	no	—
706	C₂²×C₁₇	—	4	1	no	—
707	C₂²×C₁₇	—	4	1	no	—
708	C₂²×C₁₇	—	4	1	no	—
709	C₂²×C₁₇	—	4	1	no	—
710	C₂²×C₁₇	—	4	1	no	—
711	C₂²×C₁₇	—	4	1	no	—
712	C₂²×C₁₇	—	4	1	no	—
713	C₂²×C₁₇	—	4	1	no	—
714	C₂²×C₁₇	—	4	1	no	—
715	C₂²×C₁₇	—	4	1	no	—
716	C₂²×C₁₇	—	4	1	no	—
717	C₂²×C₁₇	—	4	1	no	—
718	C₂²×C₁₇	—	4	1	no	—
719	C₂²×C₁₇	—	4	1	no	—
720	C₂²×C₁₇	—	4	1	no	—
721	C₂²×C₁₇	—	4	1	no	—
722	C₂²×C₁₇	—	4	1	no	—
723	C₂²×C₁₇	—	4	1	no	—
724	C₂²×C₁₇	—	4	1	no	—
725	C₂²×C₁₇	—	4	1	no	—
726	C₂²×C₁₇	—	4	1	no	—
727	C₂²×C₁₇	—	4	1	no	—
728	C₂²×C₁₇	—	4	1	no	—
729	C₂²×C₁₇	—	4	1	no	—
730	C₂²×C₁₇	—	4	1	no	—
731	C₂²×C₁₇	—	4	1	no	—
732	C₂²×C₁₇	—	4	1	no	—
733	C₂²×C₁₇	—	4	1	no	—
734	C₂²×C₁₇	—	4	1	no	—
735	C₂²×C₁₇	—	8	8	no	—
736	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
737	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
739	C₂²×C₁₇	#585	1	1	yes	characteristic
740	C₂²×C₁₇	#585	1	1	yes	characteristic
741	C₂²×C₁₇	#585	1	1	yes	characteristic
742	C₂²×C₁₇	#585	1	1	yes	characteristic
743	C₄×C₁₇	—	2	2	no	—
744	C₄×C₁₇	—	2	2	no	—
745	C₄×C₁₇	—	2	2	no	—
746	C₄×C₁₇	—	4	1	no	—
747	C₄×C₁₇	—	4	1	no	—
748	C₄×C₁₇	—	4	1	no	—
749	C₄×C₁₇	—	4	1	no	—
750	C₄×C₁₇	—	4	1	no	—
751	C₄×C₁₇	—	4	1	no	—
752	C₄×C₁₇	—	4	1	no	—
753	C₄×C₁₇	—	4	1	no	—
754	C₄×C₁₇	—	4	1	no	—
755	C₄×C₁₇	—	4	1	no	—
756	C₄×C₁₇	—	4	1	no	—
757	C₄×C₁₇	—	4	1	no	—
758	C₄×C₁₇	—	4	1	no	—
759	C₄×C₁₇	—	4	1	no	—
760	C₄×C₁₇	—	4	1	no	—
761	C₄×C₁₇	—	4	1	no	—
762	C₄×C₁₇	—	4	1	no	—
763	C₄×C₁₇	—	4	1	no	—
764	C₄×C₁₇	—	4	1	no	—
765	C₄×C₁₇	—	4	1	no	—
766	C₄×C₁₇	—	4	1	no	—
767	C₄×C₁₇	—	4	1	no	—
768	C₄×C₁₇	—	4	1	no	—
769	C₂×#126	C₂²×C₁₇	1	1	yes	characteristic
770	C₂×#126	C₂²×C₁₇	1	1	yes	characteristic
771	C₂×#125	C₂²×C₁₇	1	1	yes	characteristic, complemented
772	C₂×#124	C₂²×C₁₇	1	1	yes	characteristic
773	C₂×#123	C₂²×C₁₇	1	1	yes	characteristic
774	C₂×#123	C₂²×C₁₇	1	1	yes	characteristic
775	C₂×#121	C₂²×C₁₇	1	1	yes	characteristic
776	C₂×#120	C₂²×C₁₇	1	1	yes	characteristic
777	C₂×#120	C₂²×C₁₇	1	1	yes	characteristic
778	C₂×C₄×Q₈	C₂²×C₁₇	1	1	yes	characteristic, complemented
779	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
780	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
781	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic, complemented
782	C₂²×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
783	C₂²×C₄²	C₂²×C₁₇	1	1	yes	characteristic, complemented
784	#400	C₂²×C₁₇	1	1	yes	characteristic, complemented
785	#400	C₂²×C₁₇	1	1	yes	characteristic, complemented
786	#400	C₂²×C₁₇	1	1	yes	characteristic, complemented
787	#399	C₂²×C₁₇	1	1	yes	characteristic
788	#399	C₂²×C₁₇	1	1	yes	characteristic
789	#399	C₂²×C₁₇	1	1	yes	characteristic
790	#398	C₂²×C₁₇	1	1	yes	characteristic, complemented
791	#398	C₂²×C₁₇	1	1	yes	characteristic, complemented
792	#398	C₂²×C₁₇	1	1	yes	characteristic, complemented
793	#398	C₂²×C₁₇	1	1	yes	characteristic, complemented
794	#397	C₂²×C₁₇	1	1	yes	characteristic
795	#397	C₂²×C₁₇	1	1	yes	characteristic
796	#397	C₂²×C₁₇	1	1	yes	characteristic
797	#397	C₂²×C₁₇	1	1	yes	characteristic
798	#397	C₂²×C₁₇	1	1	yes	characteristic
799	#397	C₂²×C₁₇	1	1	yes	characteristic
800	#397	C₂²×C₁₇	1	1	yes	characteristic
801	#397	C₂²×C₁₇	1	1	yes	characteristic
802	#397	C₂²×C₁₇	1	1	yes	characteristic
803	#397	C₂²×C₁₇	1	1	yes	characteristic
804	#397	C₂²×C₁₇	1	1	yes	characteristic, complemented
805	#397	C₂²×C₁₇	1	1	yes	characteristic, complemented
806	#396	C₂²×C₁₇	1	1	yes	characteristic
807	#396	C₂²×C₁₇	1	1	yes	characteristic
808	#396	C₂²×C₁₇	1	1	yes	characteristic
809	#396	C₂²×C₁₇	1	1	yes	characteristic
810	#396	C₂²×C₁₇	1	1	yes	characteristic
811	#396	C₂²×C₁₇	1	1	yes	characteristic, complemented
812	#396	C₂²×C₁₇	1	1	yes	characteristic, complemented
813	#396	C₂²×C₁₇	1	1	yes	characteristic, complemented
814	#395	C₂²×C₁₇	1	1	yes	characteristic, complemented
815	#394	C₂²×C₁₇	1	1	yes	characteristic
816	#394	C₂²×C₁₇	1	1	yes	characteristic
817	#394	C₂²×C₁₇	1	1	yes	characteristic
818	#394	C₂²×C₁₇	1	1	yes	characteristic
819	#394	C₂²×C₁₇	1	1	yes	characteristic
820	#394	C₂²×C₁₇	1	1	yes	characteristic
821	#394	C₂²×C₁₇	1	1	yes	characteristic
822	#394	C₂²×C₁₇	1	1	yes	characteristic
823	#394	C₂²×C₁₇	1	1	yes	characteristic
824	#394	C₂²×C₁₇	1	1	yes	characteristic
825	#394	C₂²×C₁₇	1	1	yes	characteristic, complemented
826	#394	C₂²×C₁₇	1	1	yes	characteristic, complemented
827	#393	C₂²×C₁₇	1	1	yes	characteristic
828	#393	C₂²×C₁₇	1	1	yes	characteristic
829	#393	C₂²×C₁₇	1	1	yes	characteristic, complemented
830	#392	C₂²×C₁₇	1	1	yes	characteristic
831	#392	C₂²×C₁₇	1	1	yes	characteristic
832	#391	C₂²×C₁₇	1	1	yes	characteristic, complemented
833	#390	C₂²×C₁₇	1	1	yes	characteristic
834	#390	C₂²×C₁₇	1	1	yes	characteristic
835	#390	C₂²×C₁₇	1	1	yes	characteristic
836	#390	C₂²×C₁₇	1	1	yes	characteristic
837	#390	C₂²×C₁₇	1	1	yes	characteristic
838	#390	C₂²×C₁₇	1	1	yes	characteristic
839	#389	C₂²×C₁₇	1	1	yes	characteristic, complemented
840	#389	C₂²×C₁₇	1	1	yes	characteristic, complemented
841	#389	C₂²×C₁₇	1	1	yes	characteristic, complemented
842	#388	C₂²×C₁₇	1	1	yes	characteristic
843	#388	C₂²×C₁₇	1	1	yes	characteristic
844	#388	C₂²×C₁₇	1	1	yes	characteristic
845	#388	C₂²×C₁₇	1	1	yes	characteristic
846	#388	C₂²×C₁₇	1	1	yes	characteristic
847	#388	C₂²×C₁₇	1	1	yes	characteristic
848	#388	C₂²×C₁₇	1	1	yes	characteristic
849	#388	C₂²×C₁₇	1	1	yes	characteristic
850	#388	C₂²×C₁₇	1	1	yes	characteristic
851	#388	C₂²×C₁₇	1	1	yes	characteristic
852	#388	C₂²×C₁₇	1	1	yes	characteristic
853	#388	C₂²×C₁₇	1	1	yes	characteristic
854	#388	C₂²×C₁₇	1	1	yes	characteristic
855	#388	C₂²×C₁₇	1	1	yes	characteristic
856	#388	C₂²×C₁₇	1	1	yes	characteristic
857	#388	C₂²×C₁₇	1	1	yes	characteristic
858	#388	C₂²×C₁₇	1	1	yes	characteristic
859	#388	C₂²×C₁₇	1	1	yes	characteristic
860	#388	C₂²×C₁₇	1	1	yes	characteristic
861	#388	C₂²×C₁₇	1	1	yes	characteristic
862	#388	C₂²×C₁₇	1	1	yes	characteristic
863	#388	C₂²×C₁₇	1	1	yes	characteristic, complemented
864	#388	C₂²×C₁₇	1	1	yes	characteristic, complemented
865	#388	C₂²×C₁₇	1	1	yes	characteristic, complemented
866	#388	C₂²×C₁₇	1	1	yes	characteristic, complemented
867	#388	C₂²×C₁₇	1	1	yes	characteristic, complemented
868	#388	C₂²×C₁₇	1	1	yes	characteristic, complemented
869	#388	C₂²×C₁₇	1	1	yes	characteristic, complemented
870	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
871	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
872	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
873	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
874	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
875	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
876	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
877	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
878	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
879	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
880	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
881	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
882	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
883	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
884	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
885	#387	C₂²×C₁₇	1	1	yes	characteristic, complemented
886	#386	C₂²×C₁₇	1	1	yes	characteristic
887	#386	C₂²×C₁₇	1	1	yes	characteristic
888	#386	C₂²×C₁₇	1	1	yes	characteristic
889	#386	C₂²×C₁₇	1	1	yes	characteristic
890	#386	C₂²×C₁₇	1	1	yes	characteristic
891	#386	C₂²×C₁₇	1	1	yes	characteristic
892	#386	C₂²×C₁₇	1	1	yes	characteristic
893	#386	C₂²×C₁₇	1	1	yes	characteristic
894	#386	C₂²×C₁₇	1	1	yes	characteristic
895	#386	C₂²×C₁₇	1	1	yes	characteristic, complemented
896	#385	C₂²×C₁₇	1	1	yes	characteristic
897	#385	C₂²×C₁₇	1	1	yes	characteristic
898	#385	C₂²×C₁₇	1	1	yes	characteristic
899	#385	C₂²×C₁₇	1	1	yes	characteristic
900	#385	C₂²×C₁₇	1	1	yes	characteristic, complemented
901	#385	C₂²×C₁₇	1	1	yes	characteristic, complemented
902	#385	C₂²×C₁₇	1	1	yes	characteristic, complemented
903	#385	C₂²×C₁₇	1	1	yes	characteristic, complemented
904	#385	C₂²×C₁₇	1	1	yes	characteristic, complemented
905	#385	C₂²×C₁₇	1	1	yes	characteristic, complemented
906	#384	C₂²×C₁₇	1	1	yes	characteristic, complemented
907	#383	C₂²×C₁₇	1	1	yes	characteristic, complemented
908	#382	C₂²×C₁₇	1	1	yes	characteristic, complemented
909	#382	C₂²×C₁₇	1	1	yes	characteristic, complemented
910	#381	C₂²×C₁₇	1	1	yes	characteristic, complemented
911	#380	C₂²×C₁₇	1	1	yes	characteristic
912	#380	C₂²×C₁₇	1	1	yes	characteristic
913	#380	C₂²×C₁₇	1	1	yes	characteristic, complemented
914	#380	C₂²×C₁₇	1	1	yes	characteristic, complemented
915	#379	C₂²×C₁₇	1	1	yes	characteristic
916	#379	C₂²×C₁₇	1	1	yes	characteristic
917	#379	C₂²×C₁₇	1	1	yes	characteristic
918	#379	C₂²×C₁₇	1	1	yes	characteristic
919	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic, complemented
920	C₄×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
921	C₄×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
922	C₄×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic, complemented
923	#376	C₂²×C₁₇	1	1	yes	characteristic, complemented
924	C₂×C₁₇	—	4	2	no	—
925	C₂×C₁₇	—	4	2	no	—
926	C₂×C₁₇	—	8	1	no	—
927	C₂×C₁₇	—	8	1	no	—
928	C₂×C₁₇	—	8	1	no	—
929	C₂×C₁₇	#3459	1	1	yes	characteristic
930	C₂×C₁₇	#3513	1	1	yes	characteristic
931	C₂×C₁₇	#3521	1	1	yes	characteristic
932	C₂×C₁₇	#3540	1	1	yes	characteristic
933	C₂×C₁₇	#3542	1	1	yes	characteristic
934	C₂×C₁₇	#3551	1	1	yes	characteristic
935	C₂×C₁₇	#3566	1	1	yes	characteristic
936	C₂⁵	C₂³×C₁₇	1	1	yes	characteristic
937	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
938	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
939	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
940	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
941	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
942	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
943	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
944	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
945	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
946	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
947	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
948	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
949	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
950	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
951	#126	—	4	2	no	—
952	#126	—	4	2	no	—
953	#125	—	4	2	no	—
954	#124	—	2	4	no	—
955	#123	—	4	2	no	—
956	#123	—	4	2	no	—
957	#121	—	2	4	no	—
958	#120	—	2	4	no	—
959	#120	—	4	2	no	—
960	C₄×Q₈	—	4	2	no	—
961	C₄×D₄	—	4	2	no	—
962	C₄×D₄	—	4	2	no	—
963	C₄×D₄	—	4	2	no	—
964	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	—	4	2	no	—
997	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
1049	C₂×C₄²	—	4	2	no	—
1050	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1051	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1052	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1053	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1054	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1055	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1056	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1057	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1058	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1059	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1060	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1061	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
1062	#95	C₂³×C₁₇	1	1	yes	characteristic
1063	#95	C₂³×C₁₇	1	1	yes	characteristic
1064	#95	C₂³×C₁₇	1	1	yes	characteristic
1065	#95	C₂³×C₁₇	1	1	yes	characteristic
1066	#95	C₂³×C₁₇	1	1	yes	characteristic
1067	#95	C₂³×C₁₇	1	1	yes	characteristic
1068	#95	C₂³×C₁₇	1	1	yes	characteristic
1069	#95	C₂³×C₁₇	1	1	yes	characteristic
1070	#95	C₂³×C₁₇	1	1	yes	characteristic
1071	#95	C₂³×C₁₇	1	1	yes	characteristic
1072	#95	C₂³×C₁₇	1	1	yes	characteristic
1073	#95	C₂³×C₁₇	1	1	yes	characteristic
1074	#95	C₂³×C₁₇	1	1	yes	characteristic
1075	#95	C₂³×C₁₇	1	1	yes	characteristic
1076	#95	C₂³×C₁₇	1	1	yes	characteristic
1077	#95	C₂³×C₁₇	1	1	yes	characteristic
1078	#95	C₂³×C₁₇	1	1	yes	characteristic
1079	#95	C₂³×C₁₇	1	1	yes	characteristic
1080	#95	C₂³×C₁₇	1	1	yes	characteristic
1081	#95	C₂³×C₁₇	1	1	yes	characteristic
1082	#95	C₂³×C₁₇	1	1	yes	characteristic
1083	#95	C₂³×C₁₇	1	1	yes	characteristic
1084	#95	C₂³×C₁₇	1	1	yes	characteristic
1085	#95	C₂³×C₁₇	1	1	yes	characteristic
1086	#95	C₂³×C₁₇	1	1	yes	characteristic
1087	#95	C₂³×C₁₇	1	1	yes	characteristic
1088	#95	C₂³×C₁₇	1	1	yes	characteristic
1089	#95	C₂³×C₁₇	1	1	yes	characteristic
1090	#95	C₂³×C₁₇	1	1	yes	characteristic
1091	#95	C₂³×C₁₇	1	1	yes	characteristic
1092	#95	C₂³×C₁₇	1	1	yes	characteristic
1093	#95	C₂³×C₁₇	1	1	yes	characteristic
1094	#95	C₂³×C₁₇	1	1	yes	characteristic
1095	#95	C₂³×C₁₇	1	1	yes	characteristic
1096	#95	C₂³×C₁₇	1	1	yes	characteristic
1097	#95	C₂³×C₁₇	1	1	yes	characteristic
1098	#95	C₂³×C₁₇	1	1	yes	characteristic
1099	#95	C₂³×C₁₇	1	1	yes	characteristic
1100	#95	C₂³×C₁₇	1	1	yes	characteristic
1101	#95	C₂³×C₁₇	1	1	yes	characteristic
1102	#95	C₂³×C₁₇	1	1	yes	characteristic
1103	#95	C₂³×C₁₇	1	1	yes	characteristic
1104	#95	C₂³×C₁₇	1	1	yes	characteristic
1105	#95	C₂³×C₁₇	1	1	yes	characteristic
1106	C₁₇	#36889	1	1	yes	characteristic, direct product factor, Sylow
1107	C₂⁴	—	2	2	no	—
1108	C₂⁴	—	4	1	no	—
1109	C₂⁴	—	4	1	no	—
1110	C₂⁴	—	4	1	no	—
1111	C₂⁴	—	4	1	no	—
1112	C₂⁴	—	4	1	no	—
1113	C₂⁴	—	4	1	no	—
1114	C₂⁴	C₂⁴×C₁₇	1	1	yes	characteristic
1115	C₂⁴	C₂⁴×C₁₇	1	1	yes	characteristic
1116	C₂⁴	C₂⁴×C₁₇	1	1	yes	characteristic
1117	C₂⁴	C₂⁴×C₁₇	1	1	yes	characteristic
1118	C₂⁴	C₂⁴×C₁₇	1	1	yes	characteristic
1119	C₂×Q₈	—	2	2	no	—
1120	C₂×Q₈	—	4	1	no	—
1121	C₂×Q₈	—	4	1	no	—
1122	C₂×D₄	—	2	2	no	—
1123	C₂×D₄	—	2	2	no	—
1124	C₂×D₄	—	2	2	no	—
1125	C₂×D₄	—	2	2	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	1	no	—
1141	C₂×D₄	—	4	1	no	—
1142	C₂×D₄	#41×C₁₇	1	4	yes	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	—	4	1	no	—
1152	C₂²×C₄	—	4	1	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	4	1	no	—
1155	C₂²×C₄	—	4	1	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	1	no	—
1158	C₂²×C₄	—	4	1	no	—
1159	C₂²×C₄	—	4	1	no	—
1160	C₂²×C₄	—	4	1	no	—
1161	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1170	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1173	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1175	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1178	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1184	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1185	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
1187	C₄⋊C₄	—	2	2	no	—
1188	C₄⋊C₄	—	2	2	no	—
1189	C₄⋊C₄	—	2	2	no	—
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	4	1	no	—
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	4	1	no	—
1211	C₄⋊C₄	—	4	1	no	—
1212	C₄⋊C₄	—	4	1	no	—
1213	C₄⋊C₄	—	4	1	no	—
1214	C₄⋊C₄	—	4	1	no	—
1215	C₄⋊C₄	—	4	1	no	—
1216	C₄⋊C₄	—	4	1	no	—
1217	C₄⋊C₄	—	4	1	no	—
1218	C₄⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	2	2	no	—
1231	C₂²⋊C₄	—	2	2	no	—
1232	C₂²⋊C₄	—	4	1	no	—
1233	C₂²⋊C₄	—	4	1	no	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	—	4	1	no	—
1238	C₂²⋊C₄	—	4	1	no	—
1239	C₂²⋊C₄	—	4	1	no	—
1240	C₂²⋊C₄	—	4	1	no	—
1241	C₂²⋊C₄	—	4	1	no	—
1242	C₂²⋊C₄	—	4	1	no	—
1243	C₂²⋊C₄	—	4	1	no	—
1244	C₂²⋊C₄	—	4	1	no	—
1245	C₂²⋊C₄	—	4	1	no	—
1246	C₂²⋊C₄	—	4	1	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	4	1	no	—
1249	C₂²⋊C₄	—	4	1	no	—
1250	C₂²⋊C₄	—	4	1	no	—
1251	C₂²⋊C₄	—	4	1	no	—
1252	C₂²⋊C₄	—	4	1	no	—
1253	C₂²⋊C₄	—	4	1	no	—
1254	C₂²⋊C₄	—	4	1	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	—	4	1	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	4	1	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₄²	—	2	2	no	—
1272	C₄²	—	2	2	no	—
1273	C₄²	—	2	2	no	—
1274	C₄²	—	2	2	no	—
1275	C₄²	—	2	2	no	—
1276	C₄²	—	4	1	no	—
1277	C₄²	—	4	1	no	—
1278	C₄²	—	4	1	no	—
1279	C₄²	—	4	1	no	—
1280	C₄²	—	4	1	no	—
1281	C₄²	—	4	1	no	—
1282	C₄²	—	4	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	4	4	no	—
1317	C₂³	—	8	2	no	—
1318	C₂³	—	8	2	no	—
1319	C₂³	—	8	2	no	—
1320	C₂³	—	8	2	no	—
1321	C₂³	—	8	2	no	—
1322	C₂³	—	8	2	no	—
1323	C₂³	C₂×#41×C₁₇	1	2	yes	—
1324	C₂³	C₂×#41×C₁₇	1	2	yes	—
1325	C₂³	C₂⁵×C₁₇	1	1	yes	characteristic
1326	Q₈	—	4	4	no	—
1327	D₄	—	4	4	no	—
1328	D₄	—	4	4	no	—
1329	D₄	—	4	4	no	—
1330	D₄	—	8	2	no	—
1331	D₄	—	8	2	no	—
1332	D₄	—	8	2	no	—
1333	D₄	—	8	2	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	4	4	no	—
1410	C₂×C₄	—	4	4	no	—
1411	C₂×C₄	—	4	4	no	—
1412	C₂×C₄	—	8	2	no	—
1413	C₂×C₄	—	8	2	no	—
1414	C₂×C₄	—	8	2	no	—
1415	C₂×C₄	C₂×#41×C₁₇	1	2	yes	—
1416	C₂×C₄	C₁₇×H(5,𝔽₂)	1	2	yes	—
1417	C₂×C₄	C₁₇×H(5,𝔽₂)	1	2	yes	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	4	1	no	—
1452	C₂²	—	4	1	no	—
1453	C₂²	—	8	8	no	—
1454	C₂²	C₂²×#41×C₁₇	1	1	yes	characteristic
1455	C₂²	C₂×C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
1456	C₂²	C₂×C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
1457	C₂²	C₁₇×#585	1	1	yes	characteristic
1458	C₂²	C₁₇×#585	1	1	yes	characteristic
1459	C₂²	C₁₇×#585	1	1	yes	characteristic
1460	C₂²	C₁₇×#585	1	1	yes	characteristic
1461	C₄	—	2	2	no	—
1462	C₄	—	2	2	no	—
1463	C₄	—	2	2	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	—	4	1	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	1	no	—
1484	C₄	—	4	1	no	—
1485	C₄	—	4	1	no	—
1486	C₄	—	4	1	no	—
1487	C₂	—	4	2	no	—
1488	C₂	—	4	2	no	—
1489	C₂	—	8	1	no	—
1490	C₂	—	8	1	no	—
1491	C₂	—	8	1	no	—
1492	C₂	C₁₇×#3459	1	1	yes	characteristic
1493	C₂	C₁₇×#3513	1	1	yes	characteristic
1494	C₂	C₁₇×#3521	1	1	yes	characteristic
1495	C₂	C₁₇×#3540	1	1	yes	characteristic
1496	C₂	C₁₇×#3542	1	1	yes	characteristic
1497	C₂	C₁₇×#3551	1	1	yes	characteristic
1498	C₂	C₁₇×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₇
prime radical	C₁₇×#2678	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₇×#2853	C₂	semidirect
2. C₁₇×#2852	C₂	semidirect
3. C₁₇×#2808	C₂	semidirect
4. C₁₇×#2797	C₂	semidirect
5. C₁₇×#2795	C₂	semidirect
6. C₁₇×#2780	C₂	semidirect
7. C₁₇×#2775	C₂	semidirect
8. C₁₇×#2757	C₂	semidirect
9. C₁₇×#2753	C₂	semidirect
10. C₁₇×#2747	C₂	semidirect
11. C₁₇×#2740	C₂	semidirect
12. C₁₇×#2735	C₂	semidirect
13. C₁₇×#2721	C₂	semidirect
14. C₁₇×#2707	C₂	semidirect
15. C₁₇×#2686	C₂	semidirect
16. C₁₇×#2685	C₂	semidirect
17. C₁₇×#2684	C₂	semidirect
19. C₁₇×#2636	C₂	semidirect
20. C₁₇×#2630	C₂	semidirect
21. C₁₇×#2531	C₂	semidirect
22. C₁₇×#2529	C₂	semidirect
23. C₁₇×#2517	C₂	semidirect
24. C₁₇×#2480	C₂	semidirect
25. C₁₇×#2469	C₂	semidirect
26. C₁₇×#2460	C₂	semidirect
27. C₁₇×#2458	C₂	semidirect
28. C₁₇×#2418	C₂	semidirect
29. C₁₇×#2326	C₂	semidirect
30. C₁₇×#2321	C₂	semidirect
31. C₄×C₁₇×#121	C₂	semidirect
34. C₂×C₁₇×#125	C₂²	semidirect
41. C₂×C₄×Q₈×C₁₇	C₂²	semidirect
44. C₂×C₄×D₄×C₁₇	C₂²	semidirect
46. C₂²×C₄²×C₁₇	C₂²	semidirect
47. C₁₇×#400	C₂²	semidirect
48. C₁₇×#400	C₂²	semidirect
49. C₁₇×#400	C₂²	semidirect
53. C₁₇×#398	C₂²	semidirect
54. C₁₇×#398	C₂²	semidirect
55. C₁₇×#398	C₂²	semidirect
56. C₁₇×#398	C₂²	semidirect
67. C₁₇×#397	C₂²	semidirect
68. C₁₇×#397	C₂²	semidirect
74. C₁₇×#396	C₂²	semidirect
75. C₁₇×#396	C₂²	semidirect
76. C₁₇×#396	C₂²	semidirect
77. C₁₇×#395	C₂²	semidirect
88. C₁₇×#394	C₂²	semidirect
89. C₁₇×#394	C₂²	semidirect
92. C₁₇×#393	C₂²	semidirect
95. C₁₇×#391	C₂²	semidirect
102. C₁₇×#389	C₂²	semidirect
103. C₁₇×#389	C₂²	semidirect
104. C₁₇×#389	C₂²	semidirect
126. C₁₇×#388	C₂²	semidirect
127. C₁₇×#388	C₂²	semidirect
128. C₁₇×#388	C₂²	semidirect
129. C₁₇×#388	C₂²	semidirect
130. C₁₇×#388	C₂²	semidirect
131. C₁₇×#388	C₂²	semidirect
132. C₁₇×#388	C₂²	semidirect
133. C₁₇×#387	C₂²	semidirect
134. C₁₇×#387	C₂²	semidirect
135. C₁₇×#387	C₂²	semidirect
136. C₁₇×#387	C₂²	semidirect
137. C₁₇×#387	C₂²	semidirect
138. C₁₇×#387	C₂²	semidirect
139. C₁₇×#387	C₂²	semidirect
140. C₁₇×#387	C₂²	semidirect
141. C₁₇×#387	C₂²	semidirect
142. C₁₇×#387	C₂²	semidirect
143. C₁₇×#387	C₂²	semidirect
144. C₁₇×#387	C₂²	semidirect
145. C₁₇×#387	C₂²	semidirect
146. C₁₇×#387	C₂²	semidirect
147. C₁₇×#387	C₂²	semidirect
148. C₁₇×#387	C₂²	semidirect
158. C₁₇×#386	C₂²	semidirect
163. C₁₇×#385	C₂²	semidirect
164. C₁₇×#385	C₂²	semidirect
165. C₁₇×#385	C₂²	semidirect
166. C₁₇×#385	C₂²	semidirect
167. C₁₇×#385	C₂²	semidirect
168. C₁₇×#385	C₂²	semidirect
169. C₁₇×#384	C₂²	semidirect
170. C₁₇×#383	C₂²	semidirect
171. C₁₇×#382	C₂²	semidirect
172. C₁₇×#382	C₂²	semidirect
173. C₁₇×#381	C₂²	semidirect
176. C₁₇×#380	C₂²	semidirect
177. C₁₇×#380	C₂²	semidirect
182. C₄×C₄⋊C₄×C₁₇	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₁₇	C₂²	semidirect
186. C₁₇×#376	C₂²	semidirect
533. #36889	C₁₇	direct (N × H)
669. #2853	C₂×C₁₇	semidirect
670. #2852	C₂×C₁₇	semidirect
671. #2808	C₂×C₁₇	semidirect
672. #2797	C₂×C₁₇	semidirect
673. #2795	C₂×C₁₇	semidirect
674. #2780	C₂×C₁₇	semidirect
675. #2775	C₂×C₁₇	semidirect
676. #2757	C₂×C₁₇	semidirect
677. #2753	C₂×C₁₇	semidirect
678. #2747	C₂×C₁₇	semidirect
679. #2740	C₂×C₁₇	semidirect
680. #2735	C₂×C₁₇	semidirect
681. #2721	C₂×C₁₇	semidirect
682. #2707	C₂×C₁₇	semidirect
683. #2686	C₂×C₁₇	semidirect
684. #2685	C₂×C₁₇	semidirect
685. #2684	C₂×C₁₇	semidirect
687. #2636	C₂×C₁₇	semidirect
688. #2630	C₂×C₁₇	semidirect
689. #2531	C₂×C₁₇	semidirect
690. #2529	C₂×C₁₇	semidirect
691. #2517	C₂×C₁₇	semidirect
692. #2480	C₂×C₁₇	semidirect
693. #2469	C₂×C₁₇	semidirect
694. #2460	C₂×C₁₇	semidirect
695. #2458	C₂×C₁₇	semidirect
696. #2418	C₂×C₁₇	semidirect
697. #2326	C₂×C₁₇	semidirect
698. #2321	C₂×C₁₇	semidirect
699. C₄×#121	C₂×C₁₇	semidirect
771. C₂×#125	C₂²×C₁₇	semidirect
778. C₂×C₄×Q₈	C₂²×C₁₇	semidirect
781. C₂×C₄×D₄	C₂²×C₁₇	semidirect
783. C₂²×C₄²	C₂²×C₁₇	semidirect
784. #400	C₂²×C₁₇	semidirect
785. #400	C₂²×C₁₇	semidirect
786. #400	C₂²×C₁₇	semidirect
790. #398	C₂²×C₁₇	semidirect
791. #398	C₂²×C₁₇	semidirect
792. #398	C₂²×C₁₇	semidirect
793. #398	C₂²×C₁₇	semidirect
804. #397	C₂²×C₁₇	semidirect
805. #397	C₂²×C₁₇	semidirect
811. #396	C₂²×C₁₇	semidirect
812. #396	C₂²×C₁₇	semidirect
813. #396	C₂²×C₁₇	semidirect
814. #395	C₂²×C₁₇	semidirect
825. #394	C₂²×C₁₇	semidirect
826. #394	C₂²×C₁₇	semidirect
829. #393	C₂²×C₁₇	semidirect
832. #391	C₂²×C₁₇	semidirect
839. #389	C₂²×C₁₇	semidirect
840. #389	C₂²×C₁₇	semidirect
841. #389	C₂²×C₁₇	semidirect
863. #388	C₂²×C₁₇	semidirect
864. #388	C₂²×C₁₇	semidirect
865. #388	C₂²×C₁₇	semidirect
866. #388	C₂²×C₁₇	semidirect
867. #388	C₂²×C₁₇	semidirect
868. #388	C₂²×C₁₇	semidirect
869. #388	C₂²×C₁₇	semidirect
870. #387	C₂²×C₁₇	semidirect
871. #387	C₂²×C₁₇	semidirect
872. #387	C₂²×C₁₇	semidirect
873. #387	C₂²×C₁₇	semidirect
874. #387	C₂²×C₁₇	semidirect
875. #387	C₂²×C₁₇	semidirect
876. #387	C₂²×C₁₇	semidirect
877. #387	C₂²×C₁₇	semidirect
878. #387	C₂²×C₁₇	semidirect
879. #387	C₂²×C₁₇	semidirect
880. #387	C₂²×C₁₇	semidirect
881. #387	C₂²×C₁₇	semidirect
882. #387	C₂²×C₁₇	semidirect
883. #387	C₂²×C₁₇	semidirect
884. #387	C₂²×C₁₇	semidirect
885. #387	C₂²×C₁₇	semidirect
895. #386	C₂²×C₁₇	semidirect
900. #385	C₂²×C₁₇	semidirect
901. #385	C₂²×C₁₇	semidirect
902. #385	C₂²×C₁₇	semidirect
903. #385	C₂²×C₁₇	semidirect
904. #385	C₂²×C₁₇	semidirect
905. #385	C₂²×C₁₇	semidirect
906. #384	C₂²×C₁₇	semidirect
907. #383	C₂²×C₁₇	semidirect
908. #382	C₂²×C₁₇	semidirect
909. #382	C₂²×C₁₇	semidirect
910. #381	C₂²×C₁₇	semidirect
913. #380	C₂²×C₁₇	semidirect
914. #380	C₂²×C₁₇	semidirect
919. C₄×C₄⋊C₄	C₂²×C₁₇	semidirect
922. C₄×C₂²⋊C₄	C₂²×C₁₇	semidirect
923. #376	C₂²×C₁₇	semidirect
1106. C₁₇	#36889	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×#2853	2
C₁₇×#2852	2
C₁₇×#2808	2
C₁₇×#2797	2
C₁₇×#2795	2
C₁₇×#2780	2
C₁₇×#2775	2
C₁₇×#2757	2
C₁₇×#2753	2
C₁₇×#2747	2
C₁₇×#2740	2
C₁₇×#2735	2
C₁₇×#2721	2
C₁₇×#2707	2
C₁₇×#2686	2
C₁₇×#2685	2
C₁₇×#2684	2
C₁₇×#2678	2
C₁₇×#2636	2
C₁₇×#2630	2
C₁₇×#2531	2
C₁₇×#2529	2
C₁₇×#2517	2
C₁₇×#2480	2
C₁₇×#2469	2
C₁₇×#2460	2
C₁₇×#2458	2
C₁₇×#2418	2
C₁₇×#2326	2
C₁₇×#2321	2
C₄×C₁₇×#121	2
#36889	17

Subgroups — C17×#36889 #16894633

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#36889 #16894633