Subgroups — #17919279

Order 4352.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#63252	C₂	1	1	yes	maximal, characteristic, complemented
2	#14540964	C₂	1	1	yes	maximal, characteristic, complemented
3	#14540949	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540934	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540919	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540889	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540859	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540784	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540754	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540365	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540325	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540320	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540305	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540290	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540275	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540265	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540260	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539817	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539775	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539621	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539598	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539572	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539549	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538929	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538887	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538034	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538024	C₂	1	1	yes	maximal, characteristic, complemented
28	#14538000	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11762952	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537813	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3519	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#63252	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#63252	C₂²	1	1	yes	characteristic, complemented
34	C₂×#10587637	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587618	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10587618	C₂²	1	1	yes	characteristic, complemented
37	C₂×#10587635	C₂²	1	1	yes	characteristic, complemented
38	C₂×#10587636	C₂²	1	1	yes	characteristic, complemented
39	C₂×#10587636	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#63229	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#63228	C₂²	1	1	yes	characteristic, complemented
42	#11763480	C₂²	1	1	yes	characteristic, complemented
43	D₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
44	#11763468	C₂²	1	1	yes	characteristic
45	#11763468	C₂²	1	1	yes	characteristic, complemented
46	#11763464	C₂²	1	1	yes	characteristic, complemented
47	#11763460	—	2	1	no	—
48	#11763455	C₂²	1	1	yes	characteristic
49	#11763455	C₂²	1	1	yes	characteristic, complemented
50	#11763449	—	2	1	no	—
51	#11763449	—	2	1	no	—
52	D₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
53	D₄×C₂²⋊D₁₇	—	2	1	no	—
54	#11763359	C₂²	1	1	yes	characteristic, complemented
55	#11763356	—	2	1	no	—
56	#11763320	C₂²	1	1	yes	characteristic, complemented
57	#11763320	C₂²	1	1	yes	characteristic, complemented
58	#11763318	—	2	1	no	—
59	#11763318	—	2	1	no	—
60	C₄×#63252	C₂²	1	1	yes	characteristic, complemented
61	C₄×D₄×D₁₇	—	2	1	no	—
62	#11763204	C₂²	1	1	yes	characteristic, complemented
63	#11763199	C₂²	1	1	yes	characteristic, complemented
64	#11763196	C₂²	1	1	yes	characteristic, complemented
65	#11763196	C₂²	1	1	yes	characteristic, complemented
66	#11763179	C₂²	1	1	yes	characteristic, complemented
67	#11763175	C₂²	1	1	yes	characteristic, complemented
68	#11763171	C₂²	1	1	yes	characteristic, complemented
69	#11763171	C₂²	1	1	yes	characteristic, complemented
70	#11763150	C₂²	1	1	yes	characteristic, complemented
71	#11763150	C₂²	1	1	yes	characteristic, complemented
72	#11763147	C₂²	1	1	yes	characteristic, complemented
73	#11763144	C₂²	1	1	yes	characteristic, complemented
74	#11763139	C₂²	1	1	yes	characteristic, complemented
75	#11763133	C₂²	1	1	yes	characteristic, complemented
76	#11763133	C₂²	1	1	yes	characteristic, complemented
77	#11763130	C₂²	1	1	yes	characteristic, complemented
78	#11763130	C₂²	1	1	yes	characteristic, complemented
79	#11763130	C₂²	1	1	yes	characteristic, complemented
80	#11763127	C₂²	1	1	yes	characteristic, complemented
81	#11763122	C₂²	1	1	yes	characteristic, complemented
82	#11763113	C₂²	1	1	yes	characteristic, complemented
83	#11763106	C₂²	1	1	yes	characteristic, complemented
84	#11763091	C₂²	1	1	yes	characteristic, complemented
85	#11763086	C₂²	1	1	yes	characteristic, complemented
86	#11763065	C₂²	1	1	yes	characteristic, complemented
87	#11763060	C₂²	1	1	yes	characteristic, complemented
88	#11763060	C₂²	1	1	yes	characteristic, complemented
89	#11763060	C₂²	1	1	yes	characteristic, complemented
90	#11763057	C₂²	1	1	yes	characteristic, complemented
91	#11763053	C₂²	1	1	yes	characteristic, complemented
92	#11763053	C₂²	1	1	yes	characteristic, complemented
93	#11763053	C₂²	1	1	yes	characteristic, complemented
94	#11763048	C₂²	1	1	yes	characteristic, complemented
95	#11763043	C₂²	1	1	yes	characteristic, complemented
96	#11763043	C₂²	1	1	yes	characteristic, complemented
97	#11763043	C₂²	1	1	yes	characteristic, complemented
98	#11763040	C₂²	1	1	yes	characteristic, complemented
99	#11763036	C₂²	1	1	yes	characteristic, complemented
100	#11763036	C₂²	1	1	yes	characteristic, complemented
101	#11763036	C₂²	1	1	yes	characteristic, complemented
102	#11763031	C₂²	1	1	yes	characteristic, complemented
103	#11763031	C₂²	1	1	yes	characteristic, complemented
104	#11763028	C₂²	1	1	yes	characteristic, complemented
105	#11763024	C₂²	1	1	yes	characteristic, complemented
106	#11763024	C₂²	1	1	yes	characteristic, complemented
107	#11763021	C₂²	1	1	yes	characteristic, complemented
108	#11763014	C₂²	1	1	yes	characteristic, complemented
109	#11763014	C₂²	1	1	yes	characteristic, complemented
110	#11763006	C₂²	1	1	yes	characteristic, complemented
111	#11763004	C₂²	1	1	yes	characteristic, complemented
112	#11763004	C₂²	1	1	yes	characteristic, complemented
113	#11763001	C₂²	1	1	yes	characteristic, complemented
114	#11762971	C₂²	1	1	yes	characteristic, complemented
115	#11762971	C₂²	1	1	yes	characteristic, complemented
116	#11762969	C₂²	1	1	yes	characteristic, complemented
117	#11762969	C₂²	1	1	yes	characteristic, complemented
118	#11762969	C₂²	1	1	yes	characteristic, complemented
119	#11762969	C₂²	1	1	yes	characteristic, complemented
120	#11762969	C₂²	1	1	yes	characteristic, complemented
121	#11762964	C₂²	1	1	yes	characteristic, complemented
122	#11762960	C₂²	1	1	yes	characteristic, complemented
123	#11762960	C₂²	1	1	yes	characteristic, complemented
124	#11762959	C₂²	1	1	yes	characteristic, complemented
125	#11762954	C₂²	1	1	yes	characteristic, complemented
126	#11762954	C₂²	1	1	yes	characteristic, complemented
127	#11762952	C₂²	1	1	yes	characteristic
128	#11762952	C₂²	1	1	yes	characteristic, complemented
129	#11762952	C₂²	1	1	yes	characteristic, complemented
130	#11762952	C₂²	1	1	yes	characteristic, complemented
131	#11762952	C₂²	1	1	yes	characteristic, complemented
132	#11762952	C₂²	1	1	yes	characteristic, complemented
133	#11762952	C₂²	1	1	yes	characteristic, complemented
134	#11762952	C₂²	1	1	yes	characteristic, complemented
135	#11762952	C₂²	1	1	yes	characteristic, complemented
136	#11762952	C₂²	1	1	yes	characteristic, complemented
137	#11762952	C₂²	1	1	yes	characteristic, complemented
138	#11762952	C₂²	1	1	yes	characteristic, complemented
139	#11762952	C₂²	1	1	yes	characteristic, complemented
140	#11762952	C₂²	1	1	yes	characteristic, complemented
141	#11762952	C₂²	1	1	yes	characteristic, complemented
142	#11762947	C₂²	1	1	yes	characteristic, complemented
143	#11762947	C₂²	1	1	yes	characteristic, complemented
144	#11762947	C₂²	1	1	yes	characteristic, complemented
145	#11762943	C₂²	1	1	yes	characteristic, complemented
146	#11762943	C₂²	1	1	yes	characteristic, complemented
147	#11762942	C₂²	1	1	yes	characteristic, complemented
148	#11762942	C₂²	1	1	yes	characteristic, complemented
149	#11762942	C₂²	1	1	yes	characteristic, complemented
150	#11762919	C₂²	1	1	yes	characteristic, complemented
151	#11762919	C₂²	1	1	yes	characteristic, complemented
152	#11762919	C₂²	1	1	yes	characteristic, complemented
153	#11762914	C₂²	1	1	yes	characteristic, complemented
154	#11762909	C₂²	1	1	yes	characteristic, complemented
155	#11762909	C₂²	1	1	yes	characteristic, complemented
156	#11762909	C₂²	1	1	yes	characteristic, complemented
157	#11762907	C₂²	1	1	yes	characteristic, complemented
158	#11762881	C₂²	1	1	yes	characteristic, complemented
159	#11762881	C₂²	1	1	yes	characteristic, complemented
160	#11762881	C₂²	1	1	yes	characteristic, complemented
161	#11762881	C₂²	1	1	yes	characteristic, complemented
162	#11762881	C₂²	1	1	yes	characteristic, complemented
163	#11762881	C₂²	1	1	yes	characteristic, complemented
164	#11762881	C₂²	1	1	yes	characteristic, complemented
165	#11762881	C₂²	1	1	yes	characteristic, complemented
166	#11762866	C₂²	1	1	yes	characteristic, complemented
167	#11762866	C₂²	1	1	yes	characteristic, complemented
168	#11762817	C₂²	1	1	yes	characteristic, complemented
169	#11762813	C₂²	1	1	yes	characteristic, complemented
170	#11762808	C₂²	1	1	yes	characteristic, complemented
171	#11762808	C₂²	1	1	yes	characteristic, complemented
172	#11762803	C₂²	1	1	yes	characteristic, complemented
173	#11762803	C₂²	1	1	yes	characteristic, complemented
174	C₂×#10587481	C₂²	1	1	yes	characteristic, complemented
175	C₂×#10587480	C₂²	1	1	yes	characteristic, complemented
176	#11762773	C₂²	1	1	yes	characteristic, complemented
177	#11762773	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₂²⋊#3622	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₂²⋊#3622	C₂²	1	1	yes	characteristic, complemented
180	C₁₇×#555	C₂²	1	1	yes	characteristic, complemented
181	C₁₇×#554	C₂²	1	1	yes	characteristic, complemented
182	C₁₇×#553	—	2	1	no	—
183	C₁₇×#553	C₂²	1	1	yes	characteristic
184	C₁₇×#553	C₂²	1	1	yes	characteristic, complemented
185	C₁₇×#550	C₂²	1	1	yes	characteristic, complemented
186	C₁₇×#546	—	2	1	no	—
187	C₁₇×#546	—	2	1	no	—
188	C₁₇×#546	C₂²	1	1	yes	characteristic
189	C₁₇×#546	C₂²	1	1	yes	characteristic, complemented
190	D₄²×C₁₇	—	2	1	no	—
191	D₄²×C₁₇	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#540	—	2	1	no	—
193	C₁₇×#538	—	2	1	no	—
194	C₁₇×#538	—	2	1	no	—
195	C₁₇×#532	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#529	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#525	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#525	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#518	—	2	1	no	—
202	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
203	C₂×#41×C₁₇	—	2	1	no	—
204	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
205	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₇	—	2	1	no	—
207	C₂²×D₄×C₁₇	—	2	1	no	—
208	C₂²×D₄×C₁₇	—	2	1	no	—
209	C₂²×D₄×C₁₇	D₄	1	1	yes	characteristic
210	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
214	C₂²×C₂²⋊D₁₇	—	2	1	no	—
215	C₂²×C₂²⋊D₁₇	—	2	1	no	—
216	C₂×D₄×D₁₇	—	2	1	no	—
217	C₂×#63252	—	2	1	no	—
218	C₂×#63252	—	2	1	no	—
219	C₂×#63252	—	2	1	no	—
220	C₂×#63252	—	2	1	no	—
221	C₂×#63252	—	4	2	no	—
222	C₂×#63252	—	4	2	no	—
223	C₂×#63252	—	4	2	no	—
224	C₂×#63252	—	4	2	no	—
225	C₂×#63252	C₂³	1	1	yes	characteristic
226	C₂×#63252	C₂³	1	1	yes	characteristic
227	C₂×#63252	C₂³	1	1	yes	characteristic
228	C₂×#63252	C₂³	1	1	yes	characteristic
229	C₂×#63252	C₂³	1	1	yes	characteristic
230	C₂×#63252	C₂³	1	1	yes	characteristic
231	C₂×#63252	C₂³	1	1	yes	characteristic
232	C₂²×D₆₈	C₂³	1	1	yes	characteristic
233	C₂²×D₆₈	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₁₇	—	2	1	no	—
235	C₂²×C₄×D₁₇	—	2	1	no	—
236	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
237	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
238	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₇×#127	—	2	1	no	—
240	C₁₇×#127	C₂³	1	1	yes	characteristic
241	C₁₇×#126	—	2	1	no	—
242	C₁₇×#126	—	2	1	no	—
243	C₁₇×#126	—	2	1	no	—
244	C₁₇×#125	—	2	1	no	—
245	C₁₇×#125	C₂³	1	1	yes	characteristic
246	C₁₇×#124	—	2	1	no	—
247	C₁₇×#124	—	2	1	no	—
248	C₁₇×#124	—	2	1	no	—
249	C₁₇×#124	C₂³	1	1	yes	characteristic
250	C₁₇×#123	—	2	1	no	—
251	C₁₇×#123	—	2	1	no	—
252	C₁₇×#123	—	2	1	no	—
253	C₁₇×#123	—	2	1	no	—
254	C₁₇×#123	—	2	1	no	—
255	C₁₇×#123	—	2	1	no	—
256	C₁₇×#123	—	2	1	no	—
257	C₁₇×C₂²⋊Q₈	—	2	1	no	—
258	C₁₇×C₂²⋊Q₈	—	2	1	no	—
259	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
260	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₁₇×#121	—	2	1	no	—
263	C₁₇×#121	—	2	1	no	—
264	C₁₇×#121	—	2	1	no	—
265	C₁₇×#121	—	2	1	no	—
266	C₁₇×#121	—	2	1	no	—
267	C₁₇×#121	—	2	1	no	—
268	C₁₇×#121	—	2	1	no	—
269	C₁₇×#121	—	2	1	no	—
270	C₁₇×#121	—	2	1	no	—
271	C₁₇×#121	—	2	1	no	—
272	C₁₇×#121	—	2	1	no	—
273	C₁₇×#121	—	2	1	no	—
274	C₁₇×#121	—	2	1	no	—
275	C₁₇×#121	C₂³	1	1	yes	characteristic
276	C₁₇×#121	C₂³	1	1	yes	characteristic
277	C₁₇×#121	C₂³	1	1	yes	characteristic
278	C₁₇×#121	C₂³	1	1	yes	characteristic
279	C₁₇×#121	C₂³	1	1	yes	characteristic
280	C₁₇×#121	C₂³	1	1	yes	characteristic
281	C₁₇×#121	C₂³	1	1	yes	characteristic
282	C₁₇×#121	C₂³	1	1	yes	characteristic
283	C₁₇×#121	C₂³	1	1	yes	characteristic
284	C₁₇×#120	—	2	1	no	—
285	C₁₇×#120	—	2	1	no	—
286	C₁₇×#120	—	2	1	no	—
287	C₁₇×#120	—	2	1	no	—
288	C₁₇×#120	—	2	1	no	—
289	C₁₇×#120	—	2	1	no	—
290	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₁₇	—	2	1	no	—
292	C₄×D₄×C₁₇	—	2	1	no	—
293	C₄×D₄×C₁₇	—	2	1	no	—
294	C₄×D₄×C₁₇	—	2	1	no	—
295	C₄×D₄×C₁₇	—	2	1	no	—
296	C₄×D₄×C₁₇	—	2	1	no	—
297	C₄×D₄×C₁₇	—	2	1	no	—
298	C₄×D₄×C₁₇	—	2	1	no	—
299	C₄×D₄×C₁₇	—	2	1	no	—
300	C₄×D₄×C₁₇	—	2	1	no	—
301	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
302	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
303	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
304	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
305	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
306	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
307	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
308	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
309	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
310	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
311	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
312	C₁₇×#117	—	2	1	no	—
313	C₁₇×#117	—	2	1	no	—
314	C₁₇×#117	C₂³	1	1	yes	characteristic
315	C₁₇×#117	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₁₇	D₄	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
320	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
321	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
322	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
323	C₂×C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
325	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
326	#10587639	—	2	1	no	—
327	#10587639	—	2	1	no	—
328	#10587637	—	4	2	no	—
329	#10587636	—	4	2	no	—
330	#10587636	—	4	2	no	—
331	#10587635	—	4	2	no	—
332	C₂×#63231	C₂³	1	1	yes	characteristic
333	C₂×#63231	C₂³	1	1	yes	characteristic
334	C₂×#63231	C₂³	1	1	yes	characteristic
335	C₂×#63230	C₂³	1	1	yes	characteristic
336	C₂×#63230	C₂³	1	1	yes	characteristic
337	C₂×#63230	C₂³	1	1	yes	characteristic
338	#10587626	—	2	1	no	—
339	#10587625	—	2	1	no	—
340	#10587625	—	2	1	no	—
341	#10587624	—	2	1	no	—
342	#10587623	—	2	1	no	—
343	#10587623	—	2	1	no	—
344	D₄×Dic₁₇	—	2	1	no	—
345	C₂×#63229	—	4	2	no	—
346	C₂×#63229	C₂³	1	1	yes	characteristic
347	C₂×#63229	C₂³	1	1	yes	characteristic
348	C₂×#63229	C₂³	1	1	yes	characteristic
349	C₂×#63229	C₂³	1	1	yes	characteristic
350	C₂×#63229	C₂³	1	1	yes	characteristic
351	C₂×#63229	C₂³	1	1	yes	characteristic
352	C₂×#63229	C₂³	1	1	yes	characteristic
353	C₂×#63229	C₂³	1	1	yes	characteristic
354	C₂×#63229	C₂³	1	1	yes	characteristic
355	#10587618	—	4	2	no	—
356	#10587618	—	4	2	no	—
357	C₂×#63228	—	4	2	no	—
358	C₂×#63228	C₂³	1	1	yes	characteristic
359	C₂×#63228	C₂³	1	1	yes	characteristic
360	C₂×#63228	C₂³	1	1	yes	characteristic
361	C₂×#63228	C₂³	1	1	yes	characteristic
362	C₂×#63228	C₂³	1	1	yes	characteristic
363	C₂×#63228	C₂³	1	1	yes	characteristic
364	C₂×#63228	C₂³	1	1	yes	characteristic
365	C₂×#63228	C₂³	1	1	yes	characteristic
366	C₂×#63228	C₂³	1	1	yes	characteristic
367	#10587616	—	2	1	no	—
368	#10587616	—	2	1	no	—
369	#10587616	C₂³	1	1	yes	characteristic
370	#10587616	C₂³	1	1	yes	characteristic
371	#10587616	C₂³	1	1	yes	characteristic
372	#10587616	C₂³	1	1	yes	characteristic
373	#10587615	—	2	1	no	—
374	#10587615	—	2	1	no	—
375	C₄×C₂²⋊D₁₇	—	2	1	no	—
376	C₄×C₂²⋊D₁₇	—	2	1	no	—
377	C₄×C₂²⋊D₁₇	—	2	1	no	—
378	C₄×C₂²⋊D₁₇	—	2	1	no	—
379	C₄×C₂²⋊D₁₇	—	2	1	no	—
380	C₄×C₂²⋊D₁₇	—	2	1	no	—
381	#10587612	C₂³	1	1	yes	characteristic
382	#10587610	C₂³	1	1	yes	characteristic
383	#10587610	C₂³	1	1	yes	characteristic
384	#10587610	C₂³	1	1	yes	characteristic
385	#10587610	C₂³	1	1	yes	characteristic
386	C₂×#63223	C₂³	1	1	yes	characteristic
387	C₂×#63223	C₂³	1	1	yes	characteristic
388	C₂×#63223	C₂³	1	1	yes	characteristic
389	C₂×#63223	C₂³	1	1	yes	characteristic
390	C₂²×#3622	C₂³	1	1	yes	characteristic
391	C₂²×#3622	C₂³	1	1	yes	characteristic
392	C₂²×#3622	C₂³	1	1	yes	characteristic
393	C₂²×#3622	C₂³	1	1	yes	characteristic
394	#10587582	—	2	1	no	—
395	#10587582	—	2	1	no	—
396	#10587581	—	2	1	no	—
397	#10587580	—	2	1	no	—
398	#10587580	—	2	1	no	—
399	#10587579	—	2	1	no	—
400	C₄⋊C₄×D₁₇	—	2	1	no	—
401	#10587574	—	2	1	no	—
402	#10587571	—	2	1	no	—
403	#10587571	—	2	1	no	—
404	#10587570	—	2	1	no	—
405	#10587570	—	2	1	no	—
406	#10587570	—	2	1	no	—
407	#10587570	—	2	1	no	—
408	#10587569	—	2	1	no	—
409	#10587569	—	2	1	no	—
410	#10587568	—	2	1	no	—
411	#10587568	—	2	1	no	—
412	#10587567	—	2	1	no	—
413	#10587567	—	2	1	no	—
414	C₂²⋊C₄×D₁₇	—	2	1	no	—
415	C₂²⋊C₄×D₁₇	—	2	1	no	—
416	#10587564	—	2	1	no	—
417	#10587564	—	2	1	no	—
418	#10587561	C₂³	1	1	yes	characteristic
419	#10587561	C₂³	1	1	yes	characteristic
420	#10587560	C₂³	1	1	yes	characteristic
421	C₄×D₆₈	—	2	1	no	—
422	C₄×D₆₈	—	2	1	no	—
423	C₄×D₆₈	C₂³	1	1	yes	characteristic
424	C₄×D₆₈	C₂³	1	1	yes	characteristic
425	#10587558	—	2	1	no	—
426	C₄²×D₁₇	—	2	1	no	—
427	#10587555	C₂³	1	1	yes	characteristic
428	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
429	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
430	#10587506	C₂³	1	1	yes	characteristic
431	#10587506	C₂³	1	1	yes	characteristic
432	#10587503	C₂³	1	1	yes	characteristic
433	#10587503	C₂³	1	1	yes	characteristic
434	#10587503	C₂³	1	1	yes	characteristic
435	#10587503	C₂³	1	1	yes	characteristic
436	#10587503	C₂³	1	1	yes	characteristic
437	#10587503	C₂³	1	1	yes	characteristic
438	C₂²⋊#3622	C₂³	1	1	yes	characteristic
439	C₂²⋊#3622	C₂³	1	1	yes	characteristic
440	C₂²⋊#3622	C₂³	1	1	yes	characteristic
441	C₂²⋊#3622	C₂³	1	1	yes	characteristic
442	C₂²⋊#3622	C₂³	1	1	yes	characteristic
443	C₂²⋊#3622	C₂³	1	1	yes	characteristic
444	C₂²⋊#3622	C₂³	1	1	yes	characteristic
445	C₂²⋊#3622	C₂³	1	1	yes	characteristic
446	C₂²⋊#3622	C₂³	1	1	yes	characteristic
447	C₂²⋊#3622	C₂³	1	1	yes	characteristic
448	C₂²⋊#3622	C₂³	1	1	yes	characteristic
449	C₂²⋊#3622	C₂³	1	1	yes	characteristic
450	#10587481	C₂³	1	1	yes	characteristic
451	#10587481	C₂³	1	1	yes	characteristic
452	#10587481	C₂³	1	1	yes	characteristic
453	#10587481	C₂³	1	1	yes	characteristic
454	#10587481	C₂³	1	1	yes	characteristic
455	#10587481	C₂³	1	1	yes	characteristic
456	#10587481	C₂³	1	1	yes	characteristic
457	#10587481	C₂³	1	1	yes	characteristic
458	#10587481	C₂³	1	1	yes	characteristic
459	#10587481	C₂³	1	1	yes	characteristic
460	#10587481	C₂³	1	1	yes	characteristic
461	#10587481	C₂³	1	1	yes	characteristic
462	#10587480	C₂³	1	1	yes	characteristic
463	#10587480	C₂³	1	1	yes	characteristic
464	#10587480	C₂³	1	1	yes	characteristic
465	#10587480	C₂³	1	1	yes	characteristic
466	#10587480	C₂³	1	1	yes	characteristic
467	#10587480	C₂³	1	1	yes	characteristic
468	#10587480	C₂³	1	1	yes	characteristic
469	#10587480	C₂³	1	1	yes	characteristic
470	#10587480	C₂³	1	1	yes	characteristic
471	#10587480	C₂³	1	1	yes	characteristic
472	#10587480	C₂³	1	1	yes	characteristic
473	#10587480	C₂³	1	1	yes	characteristic
474	#10587479	C₂³	1	1	yes	characteristic
475	#10587479	C₂³	1	1	yes	characteristic
476	#10587479	C₂³	1	1	yes	characteristic
477	#10587479	C₂³	1	1	yes	characteristic
478	#10587478	C₂³	1	1	yes	characteristic
479	#10587478	C₂³	1	1	yes	characteristic
480	#10587478	C₂³	1	1	yes	characteristic
481	#10587478	C₂³	1	1	yes	characteristic
482	C₄⋊#3622	C₂³	1	1	yes	characteristic
483	C₄⋊#3622	C₂³	1	1	yes	characteristic
484	C₄⋊#3622	C₂³	1	1	yes	characteristic
485	C₄⋊#3622	C₂³	1	1	yes	characteristic
486	#10587474	C₂³	1	1	yes	characteristic
487	#10587474	C₂³	1	1	yes	characteristic
488	#10587474	C₂³	1	1	yes	characteristic
489	#10587474	C₂³	1	1	yes	characteristic
490	C₂⁴×C₁₇	—	2	1	no	—
491	C₂⁴×C₁₇	—	2	1	no	—
492	C₂⁴×C₁₇	C₂×D₄	1	1	yes	characteristic
493	C₂⁴×C₁₇	C₂×D₄	1	1	yes	characteristic
494	C₂³×D₁₇	—	2	1	no	—
495	C₂³×D₁₇	—	2	1	no	—
496	#41×C₁₇	—	4	1	no	—
497	#41×C₁₇	—	4	1	no	—
498	#41×C₁₇	—	4	1	no	—
499	#41×C₁₇	—	4	1	no	—
500	#41×C₁₇	—	8	2	no	—
501	C₂×Q₈×C₁₇	—	2	1	no	—
502	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₇	—	2	1	no	—
504	C₂×D₄×C₁₇	—	2	1	no	—
505	C₂×D₄×C₁₇	—	2	1	no	—
506	C₂×D₄×C₁₇	—	2	1	no	—
507	C₂×D₄×C₁₇	—	2	1	no	—
508	C₂×D₄×C₁₇	—	2	1	no	—
509	C₂×D₄×C₁₇	—	2	1	no	—
510	C₂×D₄×C₁₇	—	2	1	no	—
511	C₂×D₄×C₁₇	—	2	1	no	—
512	C₂×D₄×C₁₇	—	2	1	no	—
513	C₂×D₄×C₁₇	—	2	1	no	—
514	C₂×D₄×C₁₇	—	2	1	no	—
515	C₂×D₄×C₁₇	—	2	1	no	—
516	C₂×D₄×C₁₇	—	2	1	no	—
517	C₂×D₄×C₁₇	—	2	1	no	—
518	C₂×D₄×C₁₇	—	4	1	no	—
519	C₂×D₄×C₁₇	—	4	1	no	—
520	C₂×D₄×C₁₇	—	4	1	no	—
521	C₂×D₄×C₁₇	—	4	1	no	—
522	C₂×D₄×C₁₇	—	4	2	no	—
523	C₂×D₄×C₁₇	—	4	4	no	—
524	C₂×D₄×C₁₇	—	8	2	no	—
525	C₂×D₄×C₁₇	—	8	2	no	—
526	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
530	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₁₇	—	2	1	no	—
534	C₂²×C₄×C₁₇	—	2	1	no	—
535	C₂²×C₄×C₁₇	—	2	1	no	—
536	C₂²×C₄×C₁₇	—	2	1	no	—
537	C₂²×C₄×C₁₇	—	2	1	no	—
538	C₂²×C₄×C₁₇	—	2	1	no	—
539	C₂²×C₄×C₁₇	—	2	1	no	—
540	C₂²×C₄×C₁₇	—	4	1	no	—
541	C₂²×C₄×C₁₇	—	4	1	no	—
542	C₂²×C₄×C₁₇	—	4	1	no	—
543	C₂²×C₄×C₁₇	—	4	1	no	—
544	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
552	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
557	C₂×C₂²⋊D₁₇	—	2	1	no	—
558	C₂×C₂²⋊D₁₇	—	2	1	no	—
559	C₂×C₂²⋊D₁₇	—	2	1	no	—
560	C₂×C₂²⋊D₁₇	—	2	1	no	—
561	C₂×C₂²⋊D₁₇	—	2	1	no	—
562	C₂×C₂²⋊D₁₇	—	2	1	no	—
563	C₂×C₂²⋊D₁₇	—	2	1	no	—
564	C₂×C₂²⋊D₁₇	—	2	1	no	—
565	C₂×C₂²⋊D₁₇	—	2	1	no	—
566	C₂×C₂²⋊D₁₇	—	2	1	no	—
567	C₂×C₂²⋊D₁₇	—	2	1	no	—
568	C₂×C₂²⋊D₁₇	—	4	4	no	—
569	C₂×C₂²⋊D₁₇	—	4	4	no	—
570	C₂²×Dic₁₇	—	2	1	no	—
571	C₂²×Dic₁₇	—	2	1	no	—
572	D₄×D₁₇	—	4	4	no	—
573	#63252	—	2	2	no	—
574	#63252	—	2	2	no	—
575	#63252	—	2	2	no	—
576	#63252	—	2	2	no	—
577	#63252	—	2	2	no	—
578	#63252	—	2	2	no	—
579	#63252	—	4	1	no	—
580	#63252	—	4	1	no	—
581	#63252	—	4	1	no	—
582	#63252	—	4	1	no	—
583	#63252	—	4	1	no	—
584	#63252	—	4	1	no	—
585	#63252	—	4	1	no	—
586	#63252	—	4	1	no	—
587	#63252	—	4	4	no	—
588	#63252	—	4	4	no	—
589	#63252	—	4	4	no	—
590	#63252	—	4	4	no	—
591	C₂×D₆₈	—	2	2	no	—
592	C₂×D₆₈	—	2	2	no	—
593	C₂×D₆₈	—	2	1	no	—
594	C₂×D₆₈	—	2	1	no	—
595	C₂×D₆₈	—	2	1	no	—
596	C₂×D₆₈	—	2	1	no	—
597	C₂×D₆₈	—	4	1	no	—
598	C₂×D₆₈	—	4	1	no	—
599	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
600	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
601	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₁₇	—	2	1	no	—
603	C₂×C₄×D₁₇	—	2	1	no	—
604	C₂×C₄×D₁₇	—	2	1	no	—
605	C₂×C₄×D₁₇	—	2	1	no	—
606	C₂×C₄×D₁₇	—	2	1	no	—
607	C₂×C₄×D₁₇	—	2	1	no	—
608	C₂×C₄×D₁₇	—	2	1	no	—
609	C₂×C₄×D₁₇	—	2	1	no	—
610	C₂×C₄×D₁₇	—	2	1	no	—
611	C₂×C₄×D₁₇	—	4	4	no	—
612	C₂×C₄×D₁₇	—	4	4	no	—
613	C₂×Dic₃₄	—	2	2	no	—
614	C₂×Dic₃₄	—	2	2	no	—
615	C₂×Dic₃₄	—	2	1	no	—
616	C₂×Dic₃₄	—	2	1	no	—
617	C₂×Dic₃₄	—	4	1	no	—
618	C₂×Dic₃₄	—	4	1	no	—
619	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
620	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
621	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₁₇	—	2	1	no	—
623	C₄⋊C₄×C₁₇	—	2	1	no	—
624	C₄⋊C₄×C₁₇	—	2	1	no	—
625	C₄⋊C₄×C₁₇	—	2	1	no	—
626	C₄⋊C₄×C₁₇	—	2	1	no	—
627	C₄⋊C₄×C₁₇	—	2	1	no	—
628	C₄⋊C₄×C₁₇	—	2	1	no	—
629	C₄⋊C₄×C₁₇	—	2	1	no	—
630	C₄⋊C₄×C₁₇	—	2	1	no	—
631	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
636	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
637	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
638	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
639	C₂²⋊C₄×C₁₇	—	2	1	no	—
640	C₂²⋊C₄×C₁₇	—	2	1	no	—
641	C₂²⋊C₄×C₁₇	—	2	1	no	—
642	C₂²⋊C₄×C₁₇	—	2	1	no	—
643	C₂²⋊C₄×C₁₇	—	2	1	no	—
644	C₂²⋊C₄×C₁₇	—	2	1	no	—
645	C₂²⋊C₄×C₁₇	—	2	1	no	—
646	C₂²⋊C₄×C₁₇	—	2	1	no	—
647	C₂²⋊C₄×C₁₇	—	2	1	no	—
648	C₂²⋊C₄×C₁₇	—	2	1	no	—
649	C₂²⋊C₄×C₁₇	—	2	1	no	—
650	C₂²⋊C₄×C₁₇	—	2	1	no	—
651	C₂²⋊C₄×C₁₇	—	2	1	no	—
652	C₂²⋊C₄×C₁₇	—	2	1	no	—
653	C₂²⋊C₄×C₁₇	—	2	1	no	—
654	C₂²⋊C₄×C₁₇	—	2	1	no	—
655	C₂²⋊C₄×C₁₇	—	2	1	no	—
656	C₂²⋊C₄×C₁₇	—	2	1	no	—
657	C₂²⋊C₄×C₁₇	—	2	1	no	—
658	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
666	C₄²×C₁₇	—	2	1	no	—
667	C₄²×C₁₇	—	2	1	no	—
668	C₄²×C₁₇	—	2	1	no	—
669	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
670	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
672	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
673	C₂²⋊Dic₁₇	—	2	1	no	—
674	C₂²⋊Dic₁₇	—	2	1	no	—
675	C₂²⋊Dic₁₇	—	2	1	no	—
676	C₂²⋊Dic₁₇	—	2	1	no	—
677	C₂²⋊Dic₁₇	—	2	1	no	—
678	#63231	—	2	2	no	—
679	#63231	—	4	1	no	—
680	#63231	—	4	1	no	—
681	#63230	—	2	2	no	—
682	#63230	—	4	1	no	—
683	#63230	—	4	1	no	—
684	#63229	—	2	2	no	—
685	#63229	—	2	2	no	—
686	#63229	—	2	2	no	—
687	#63229	—	4	1	no	—
688	#63229	—	4	1	no	—
689	#63229	—	4	1	no	—
690	#63229	—	4	1	no	—
691	#63229	—	4	1	no	—
692	#63229	—	4	1	no	—
693	#63228	—	2	2	no	—
694	#63228	—	2	2	no	—
695	#63228	—	2	2	no	—
696	#63228	—	4	1	no	—
697	#63228	—	4	1	no	—
698	#63228	—	4	1	no	—
699	#63228	—	4	1	no	—
700	#63228	—	4	1	no	—
701	#63228	—	4	1	no	—
702	#63227	—	2	1	no	—
703	#63227	—	2	1	no	—
704	#63227	—	2	1	no	—
705	#63227	—	2	1	no	—
706	#63227	—	2	1	no	—
707	#63227	—	2	1	no	—
708	#63227	—	2	1	no	—
709	#63227	—	2	1	no	—
710	#63227	—	2	1	no	—
711	#63227	—	2	1	no	—
712	C₄⋊Dic₁₇	—	2	1	no	—
713	C₄⋊Dic₁₇	—	2	1	no	—
714	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
715	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
716	#63225	—	2	1	no	—
717	#63225	—	2	1	no	—
718	#63225	—	2	1	no	—
719	#63225	—	2	1	no	—
720	#63225	—	2	1	no	—
721	#63225	—	2	1	no	—
722	C₄×Dic₁₇	—	2	1	no	—
723	C₄×Dic₁₇	—	2	1	no	—
724	C₄×Dic₁₇	—	2	1	no	—
725	#63223	—	4	1	no	—
726	#63223	—	4	1	no	—
727	#63223	—	4	1	no	—
728	#63223	—	4	1	no	—
729	C₂×#3622	—	4	1	no	—
730	C₂×#3622	—	4	1	no	—
731	C₂×#3622	—	4	1	no	—
732	C₂×#3622	—	4	1	no	—
733	C₂×#3622	C₂⁴	1	1	yes	characteristic
734	C₂×#3622	C₂⁴	1	1	yes	characteristic
735	C₂×#3622	C₂⁴	1	1	yes	characteristic
736	C₂×#3622	C₂⁴	1	1	yes	characteristic
737	C₂×#3622	C₂⁴	1	1	yes	characteristic
738	C₂×#3622	C₂⁴	1	1	yes	characteristic
739	C₂×#3622	C₂⁴	1	1	yes	characteristic
740	C₂×#3622	C₂⁴	1	1	yes	characteristic
741	#61579	—	17	1	no	maximal, Sylow
742	C₂³×C₁₇	—	2	2	no	—
743	C₂³×C₁₇	—	2	1	no	—
744	C₂³×C₁₇	—	2	1	no	—
745	C₂³×C₁₇	—	2	1	no	—
746	C₂³×C₁₇	—	4	1	no	—
747	C₂³×C₁₇	—	4	1	no	—
748	C₂³×C₁₇	—	4	1	no	—
749	C₂³×C₁₇	—	4	1	no	—
750	C₂³×C₁₇	—	4	1	no	—
751	C₂³×C₁₇	—	4	2	no	—
752	C₂³×C₁₇	—	4	2	no	—
753	C₂³×C₁₇	—	8	1	no	—
754	C₂³×C₁₇	—	8	1	no	—
755	C₂³×C₁₇	—	8	1	no	—
756	C₂³×C₁₇	—	8	1	no	—
757	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
758	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
759	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
760	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
761	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
762	C₂²×D₁₇	—	2	1	no	—
763	C₂²×D₁₇	—	2	1	no	—
764	C₂²×D₁₇	—	2	1	no	—
765	C₂²×D₁₇	—	4	2	no	—
766	C₂²×D₁₇	—	4	2	no	—
767	C₂²×D₁₇	—	4	2	no	—
768	C₂²×D₁₇	—	4	2	no	—
769	C₂²×D₁₇	—	8	1	no	—
770	C₂²×D₁₇	—	8	1	no	—
771	Q₈×C₁₇	—	2	1	no	—
772	Q₈×C₁₇	—	2	1	no	—
773	Q₈×C₁₇	—	8	1	no	—
774	D₄×C₁₇	—	2	2	no	—
775	D₄×C₁₇	—	2	2	no	—
776	D₄×C₁₇	—	2	1	no	—
777	D₄×C₁₇	—	2	1	no	—
778	D₄×C₁₇	—	2	1	no	—
779	D₄×C₁₇	—	2	1	no	—
780	D₄×C₁₇	—	2	1	no	—
781	D₄×C₁₇	—	2	1	no	—
782	D₄×C₁₇	—	4	1	no	—
783	D₄×C₁₇	—	4	1	no	—
784	D₄×C₁₇	—	4	2	no	—
785	D₄×C₁₇	—	4	2	no	—
786	D₄×C₁₇	—	4	2	no	—
787	D₄×C₁₇	—	4	2	no	—
788	D₄×C₁₇	—	4	2	no	—
789	D₄×C₁₇	—	4	2	no	—
790	D₄×C₁₇	—	8	1	no	—
791	D₄×C₁₇	—	8	1	no	—
792	D₄×C₁₇	—	8	1	no	—
793	D₄×C₁₇	—	8	1	no	—
794	D₄×C₁₇	—	8	1	no	—
795	D₄×C₁₇	—	8	1	no	—
796	D₄×C₁₇	—	8	1	no	—
797	D₄×C₁₇	—	8	1	no	—
798	D₄×C₁₇	—	8	1	no	—
799	C₂×C₄×C₁₇	—	2	1	no	—
800	C₂×C₄×C₁₇	—	2	1	no	—
801	C₂×C₄×C₁₇	—	2	1	no	—
802	C₂×C₄×C₁₇	—	2	1	no	—
803	C₂×C₄×C₁₇	—	2	1	no	—
804	C₂×C₄×C₁₇	—	2	1	no	—
805	C₂×C₄×C₁₇	—	2	1	no	—
806	C₂×C₄×C₁₇	—	2	1	no	—
807	C₂×C₄×C₁₇	—	2	1	no	—
808	C₂×C₄×C₁₇	—	2	1	no	—
809	C₂×C₄×C₁₇	—	2	1	no	—
810	C₂×C₄×C₁₇	—	2	1	no	—
811	C₂×C₄×C₁₇	—	2	1	no	—
812	C₂×C₄×C₁₇	—	2	1	no	—
813	C₂×C₄×C₁₇	—	2	1	no	—
814	C₂×C₄×C₁₇	—	4	1	no	—
815	C₂×C₄×C₁₇	—	4	1	no	—
816	C₂×C₄×C₁₇	—	4	1	no	—
817	C₂×C₄×C₁₇	—	4	1	no	—
818	C₂×C₄×C₁₇	—	4	1	no	—
819	C₂×C₄×C₁₇	—	4	1	no	—
820	C₂×C₄×C₁₇	—	4	1	no	—
821	C₂×C₄×C₁₇	—	4	1	no	—
822	C₂×C₄×C₁₇	—	4	2	no	—
823	C₂×C₄×C₁₇	—	8	1	no	—
824	C₂×C₄×C₁₇	—	8	1	no	—
825	C₂×C₄×C₁₇	—	8	1	no	—
826	C₂×C₄×C₁₇	—	8	1	no	—
827	C₂×C₄×C₁₇	—	8	1	no	—
828	C₂×C₄×C₁₇	—	8	1	no	—
829	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
839	C₂²⋊D₁₇	—	2	4	no	—
840	C₂²⋊D₁₇	—	4	2	no	—
841	C₂²⋊D₁₇	—	4	2	no	—
842	C₂²⋊D₁₇	—	4	2	no	—
843	C₂²⋊D₁₇	—	4	2	no	—
844	C₂²⋊D₁₇	—	4	2	no	—
845	C₂²⋊D₁₇	—	4	2	no	—
846	C₂²⋊D₁₇	—	4	2	no	—
847	C₂²⋊D₁₇	—	4	2	no	—
848	C₂²⋊D₁₇	—	8	1	no	—
849	C₂²⋊D₁₇	—	8	1	no	—
850	C₂×Dic₁₇	—	2	1	no	—
851	C₂×Dic₁₇	—	2	1	no	—
852	C₂×Dic₁₇	—	2	1	no	—
853	C₂×Dic₁₇	—	2	1	no	—
854	C₂×Dic₁₇	—	2	1	no	—
855	C₂×Dic₁₇	—	4	2	no	—
856	C₂×Dic₁₇	—	4	2	no	—
857	D₆₈	—	2	1	no	—
858	D₆₈	—	2	1	no	—
859	D₆₈	—	2	1	no	—
860	D₆₈	—	2	1	no	—
861	D₆₈	—	2	1	no	—
862	D₆₈	—	4	2	no	—
863	D₆₈	—	4	2	no	—
864	D₆₈	—	4	2	no	—
865	D₆₈	—	8	1	no	—
866	D₆₈	H(5,𝔽₂)	1	2	yes	—
867	C₄×D₁₇	—	2	4	no	—
868	C₄×D₁₇	—	4	2	no	—
869	C₄×D₁₇	—	4	2	no	—
870	C₄×D₁₇	—	4	2	no	—
871	C₄×D₁₇	—	4	2	no	—
872	C₄×D₁₇	—	4	2	no	—
873	C₄×D₁₇	—	4	2	no	—
874	C₄×D₁₇	—	4	2	no	—
875	C₄×D₁₇	—	8	1	no	—
876	Dic₃₄	—	2	1	no	—
877	Dic₃₄	—	2	1	no	—
878	Dic₃₄	—	2	1	no	—
879	Dic₃₄	—	2	1	no	—
880	Dic₃₄	—	2	1	no	—
881	Dic₃₄	—	4	2	no	—
882	Dic₃₄	—	4	2	no	—
883	Dic₃₄	H(5,𝔽₂)	1	2	yes	—
884	#3622	—	2	1	no	—
885	#3622	—	2	1	no	—
886	#3622	—	2	1	no	—
887	#3622	—	2	1	no	—
888	#3622	—	2	1	no	—
889	#3622	—	2	1	no	—
890	#3622	—	2	1	no	—
891	#3622	—	2	1	no	—
892	#3519	D₁₇	1	1	yes	characteristic, complemented
893	D₄×#41	—	17	1	no	—
894	#3321	—	17	1	no	—
895	#3320	—	17	1	no	—
896	#3319	—	17	1	no	—
897	#3318	—	17	1	no	—
898	#3316	—	17	1	no	—
899	#3314	—	17	1	no	—
900	#3309	—	17	1	no	—
901	#3307	—	17	1	no	—
902	#3271	—	17	1	no	—
903	#3268	—	17	1	no	—
904	#3268	—	17	1	no	—
905	#3267	—	17	1	no	—
906	#3266	—	17	1	no	—
907	#3265	—	17	1	no	—
908	#3264	—	17	1	no	—
909	#3264	—	17	1	no	—
910	#3219	—	17	1	no	—
911	#3214	—	17	1	no	—
912	#3197	—	17	1	no	—
913	#3194	—	17	1	no	—
914	#3191	—	17	1	no	—
915	#3188	—	17	1	no	—
916	#3115	—	17	1	no	—
917	#3111	—	17	1	no	—
918	#3006	—	17	1	no	—
919	#3005	—	17	1	no	—
920	#3002	—	17	1	no	—
921	C₂×#449	—	17	1	no	—
922	#2973	—	17	1	no	—
923	C₂²×C₁₇	—	2	1	no	—
924	C₂²×C₁₇	—	2	1	no	—
925	C₂²×C₁₇	—	2	1	no	—
926	C₂²×C₁₇	—	2	1	no	—
927	C₂²×C₁₇	—	2	1	no	—
928	C₂²×C₁₇	—	2	1	no	—
929	C₂²×C₁₇	—	2	1	no	—
930	C₂²×C₁₇	—	2	1	no	—
931	C₂²×C₁₇	—	2	1	no	—
932	C₂²×C₁₇	—	2	1	no	—
933	C₂²×C₁₇	—	2	1	no	—
934	C₂²×C₁₇	—	2	1	no	—
935	C₂²×C₁₇	—	2	1	no	—
936	C₂²×C₁₇	—	2	1	no	—
937	C₂²×C₁₇	—	4	1	no	—
938	C₂²×C₁₇	—	4	1	no	—
939	C₂²×C₁₇	—	4	1	no	—
940	C₂²×C₁₇	—	4	1	no	—
941	C₂²×C₁₇	—	4	1	no	—
942	C₂²×C₁₇	—	4	1	no	—
943	C₂²×C₁₇	—	4	1	no	—
944	C₂²×C₁₇	—	4	1	no	—
945	C₂²×C₁₇	—	4	1	no	—
946	C₂²×C₁₇	—	8	2	no	—
947	C₂²×C₁₇	—	8	2	no	—
948	C₂²×C₁₇	—	16	2	no	—
949	C₂²×C₁₇	—	16	2	no	—
950	C₂²×C₁₇	#575	1	2	yes	—
951	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
952	C₂×D₁₇	—	2	2	no	—
953	C₂×D₁₇	—	4	1	no	—
954	C₂×D₁₇	—	4	1	no	—
955	C₂×D₁₇	—	4	1	no	—
956	C₂×D₁₇	—	4	1	no	—
957	C₂×D₁₇	—	4	1	no	—
958	C₂×D₁₇	—	4	1	no	—
959	C₂×D₁₇	—	4	1	no	—
960	C₂×D₁₇	—	4	1	no	—
961	C₂×D₁₇	—	8	4	no	—
962	C₂×D₁₇	—	8	4	no	—
963	C₄×C₁₇	—	2	1	no	—
964	C₄×C₁₇	—	2	1	no	—
965	C₄×C₁₇	—	2	1	no	—
966	C₄×C₁₇	—	2	1	no	—
967	C₄×C₁₇	—	2	1	no	—
968	C₄×C₁₇	—	2	1	no	—
969	C₄×C₁₇	—	2	1	no	—
970	C₄×C₁₇	—	2	1	no	—
971	C₄×C₁₇	—	2	1	no	—
972	C₄×C₁₇	—	4	1	no	—
973	C₄×C₁₇	—	4	1	no	—
974	C₄×C₁₇	—	4	1	no	—
975	C₄×C₁₇	—	4	1	no	—
976	C₄×C₁₇	—	4	1	no	—
977	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
978	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
979	Dic₁₇	—	2	2	no	—
980	Dic₁₇	—	4	1	no	—
981	Dic₁₇	—	4	1	no	—
982	Dic₁₇	—	4	1	no	—
983	Dic₁₇	—	4	1	no	—
984	C₂²×#41	—	17	1	no	—
985	C₂²×#41	—	17	1	no	—
986	C₂×#137	—	17	1	no	—
987	C₂×AGL(1,ℤ/8)	—	17	1	no	—
988	C₂×AGL(1,ℤ/8)	—	17	1	no	—
989	C₂×AGL(1,ℤ/8)	—	17	1	no	—
990	C₂×#135	—	17	1	no	—
991	C₂×#135	—	17	1	no	—
992	C₂²×SD₁₆	—	17	1	no	—
993	C₂²×D₈	—	17	1	no	—
994	#555	C₂×D₁₇	1	1	yes	characteristic, complemented
995	#554	C₂×D₁₇	1	1	yes	characteristic, complemented
996	#553	—	2	1	no	—
997	#553	C₂×D₁₇	1	1	yes	characteristic
998	#553	C₂×D₁₇	1	1	yes	characteristic, complemented
999	#550	—	17	1	no	—
1000	#550	C₂×D₁₇	1	1	yes	characteristic, complemented
1001	D₄×Q₈	—	17	1	no	—
1002	#548	—	17	1	no	—
1003	#548	—	17	1	no	—
1004	#547	—	17	1	no	—
1005	#547	—	34	1	no	—
1006	#546	—	2	1	no	—
1007	#546	—	2	1	no	—
1008	#546	—	17	1	no	—
1009	#546	—	17	1	no	—
1010	#546	—	34	1	no	—
1011	#546	—	34	1	no	—
1012	#546	C₂×D₁₇	1	1	yes	characteristic
1013	#546	C₂×D₁₇	1	1	yes	characteristic, complemented
1014	D₄²	—	2	1	no	—
1015	D₄²	—	17	1	no	—
1016	D₄²	—	34	1	no	—
1017	D₄²	C₂×D₁₇	1	1	yes	characteristic, complemented
1018	#540	—	2	1	no	—
1019	#538	—	2	1	no	—
1020	#538	—	2	1	no	—
1021	#532	—	17	1	no	—
1022	#532	—	34	1	no	—
1023	#532	C₂×D₁₇	1	1	yes	characteristic, complemented
1024	#529	C₂×D₁₇	1	1	yes	characteristic, complemented
1025	#525	—	17	1	no	—
1026	#525	—	17	1	no	—
1027	#525	—	34	1	no	—
1028	#525	—	34	1	no	—
1029	#525	C₂×D₁₇	1	1	yes	characteristic, complemented
1030	#525	C₂×D₁₇	1	1	yes	characteristic, complemented
1031	C₂×#121	C₂×D₁₇	1	1	yes	characteristic, complemented
1032	C₂×#121	C₂×D₁₇	1	1	yes	characteristic, complemented
1033	#518	—	2	1	no	—
1034	C₄×#41	—	17	1	no	—
1035	C₂×C₄×D₄	—	34	1	no	—
1036	C₂×C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
1037	#497	—	17	1	no	—
1038	#496	—	17	1	no	—
1039	#496	—	17	1	no	—
1040	#496	—	17	1	no	—
1041	#491	—	17	1	no	—
1042	#490	—	17	1	no	—
1043	#489	—	17	1	no	—
1044	#489	—	17	1	no	—
1045	#485	—	17	1	no	—
1046	#485	—	17	1	no	—
1047	#485	—	17	1	no	—
1048	#484	—	17	1	no	—
1049	#483	—	17	1	no	—
1050	#482	—	17	1	no	—
1051	#482	—	17	1	no	—
1052	#482	—	17	1	no	—
1053	#482	—	17	1	no	—
1054	#482	—	17	1	no	—
1055	#481	—	17	1	no	—
1056	#480	—	17	1	no	—
1057	#479	—	17	1	no	—
1058	#478	—	17	1	no	—
1059	#475	—	17	1	no	—
1060	#474	—	17	1	no	—
1061	#470	—	17	1	no	—
1062	#469	—	17	1	no	—
1063	#469	—	17	1	no	—
1064	#469	—	17	1	no	—
1065	#468	—	17	1	no	—
1066	#468	—	17	1	no	—
1067	#468	—	17	1	no	—
1068	#468	—	17	1	no	—
1069	#467	—	17	1	no	—
1070	#466	—	17	1	no	—
1071	#466	—	17	1	no	—
1072	#466	—	17	1	no	—
1073	#465	—	17	1	no	—
1074	#465	—	17	1	no	—
1075	#465	—	17	1	no	—
1076	#465	—	17	1	no	—
1077	#464	—	17	1	no	—
1078	#464	—	17	1	no	—
1079	#464	—	17	1	no	—
1080	#463	—	17	1	no	—
1081	#463	—	17	1	no	—
1082	#463	—	17	1	no	—
1083	#461	—	17	1	no	—
1084	#461	—	17	1	no	—
1085	#460	—	17	1	no	—
1086	#459	—	17	1	no	—
1087	#459	—	17	1	no	—
1088	#459	—	17	1	no	—
1089	#452	—	17	1	no	—
1090	#452	—	17	1	no	—
1091	#452	—	17	1	no	—
1092	#452	—	17	1	no	—
1093	#452	—	17	1	no	—
1094	#452	—	17	1	no	—
1095	#452	—	17	1	no	—
1096	#451	—	17	1	no	—
1097	#450	—	17	1	no	—
1098	#450	—	17	1	no	—
1099	#450	—	17	1	no	—
1100	#449	—	17	1	no	—
1101	#449	—	17	1	no	—
1102	#449	—	17	1	no	—
1103	#449	—	17	1	no	—
1104	#449	—	17	1	no	—
1105	#449	—	17	1	no	—
1106	#449	—	17	1	no	—
1107	#449	—	17	1	no	—
1108	#449	—	17	1	no	—
1109	#449	—	17	1	no	—
1110	#449	—	17	1	no	—
1111	#449	—	17	1	no	—
1112	#449	—	17	1	no	—
1113	#449	—	17	1	no	—
1114	#449	—	17	1	no	—
1115	#449	—	17	1	no	—
1116	#449	—	17	1	no	—
1117	#448	—	17	1	no	—
1118	#448	—	17	1	no	—
1119	#448	—	17	1	no	—
1120	#447	—	17	1	no	—
1121	#447	—	17	1	no	—
1122	#447	—	17	1	no	—
1123	#447	—	17	1	no	—
1124	#447	—	17	1	no	—
1125	#442	—	17	1	no	—
1126	#442	—	17	1	no	—
1127	#442	—	17	1	no	—
1128	#441	—	17	1	no	—
1129	#440	—	17	1	no	—
1130	#440	—	17	1	no	—
1131	#440	—	17	1	no	—
1132	#440	—	17	1	no	—
1133	#435	—	17	1	no	—
1134	#435	—	17	1	no	—
1135	#435	—	17	1	no	—
1136	#435	—	17	1	no	—
1137	#435	—	17	1	no	—
1138	#435	—	17	1	no	—
1139	#435	—	17	1	no	—
1140	#435	—	17	1	no	—
1141	#432	—	17	1	no	—
1142	#432	—	17	1	no	—
1143	#419	—	17	1	no	—
1144	#418	—	17	1	no	—
1145	#417	—	17	1	no	—
1146	#417	—	17	1	no	—
1147	#416	—	17	1	no	—
1148	#416	—	17	1	no	—
1149	C₂×#103	—	17	1	no	—
1150	C₂×#102	—	17	1	no	—
1151	#407	—	17	1	no	—
1152	#407	—	17	1	no	—
1153	C₂×C₂²⋊C₈	—	17	1	no	—
1154	C₂×C₂²⋊C₈	—	17	1	no	—
1155	C₂×C₁₇	—	2	2	no	—
1156	C₂×C₁₇	—	4	1	no	—
1157	C₂×C₁₇	—	4	1	no	—
1158	C₂×C₁₇	—	4	1	no	—
1159	C₂×C₁₇	—	4	1	no	—
1160	C₂×C₁₇	—	8	1	no	—
1161	C₂×C₁₇	—	8	1	no	—
1162	C₂×C₁₇	—	8	1	no	—
1163	C₂×C₁₇	#3484	1	1	yes	characteristic
1164	C₂×C₁₇	C₂×#575	1	1	yes	characteristic
1165	C₂×C₁₇	#3585	1	1	yes	characteristic
1166	D₁₇	—	4	2	no	—
1167	D₁₇	—	8	1	no	—
1168	D₁₇	—	8	1	no	—
1169	C₂×#41	—	2	1	no	—
1170	C₂×#41	—	17	1	no	—
1171	C₂×#41	—	17	1	no	—
1172	C₂×#41	—	17	1	no	—
1173	C₂×#41	—	17	1	no	—
1174	C₂×#41	—	17	1	no	—
1175	C₂×#41	—	17	1	no	—
1176	C₂×#41	—	17	1	no	—
1177	C₂×#41	—	34	1	no	—
1178	C₂×#41	—	34	1	no	—
1179	C₂×#41	—	34	1	no	—
1180	C₂×#41	—	34	1	no	—
1181	C₂×#41	—	68	2	no	—
1182	C₂×#41	—	68	2	no	—
1183	C₂×#41	—	68	2	no	—
1184	C₂×#41	—	68	2	no	—
1185	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1186	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1187	C₂²×Q₈	—	17	1	no	—
1188	C₂²×Q₈	—	17	1	no	—
1189	C₂²×D₄	—	2	1	no	—
1190	C₂²×D₄	—	2	1	no	—
1191	C₂²×D₄	—	2	1	no	—
1192	C₂²×D₄	—	17	1	no	—
1193	C₂²×D₄	—	17	1	no	—
1194	C₂²×D₄	—	34	1	no	—
1195	C₂²×D₄	—	34	1	no	—
1196	C₂²×D₄	—	34	1	no	—
1197	C₂²×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1198	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1199	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1200	C₂³×C₄	—	34	1	no	—
1201	C₂³×C₄	—	34	1	no	—
1202	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
1203	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
1204	#137	—	68	2	no	—
1205	AGL(1,ℤ/8)	—	68	2	no	—
1206	AGL(1,ℤ/8)	—	68	2	no	—
1207	AGL(1,ℤ/8)	—	68	2	no	—
1208	#135	—	68	2	no	—
1209	#135	—	68	2	no	—
1210	C₂×Q₁₆	—	17	1	no	—
1211	C₂×Q₁₆	—	17	1	no	—
1212	C₂×Q₁₆	—	17	1	no	—
1213	C₂×SD₁₆	—	17	1	no	—
1214	C₂×SD₁₆	—	17	1	no	—
1215	C₂×SD₁₆	—	17	1	no	—
1216	C₂×SD₁₆	—	17	1	no	—
1217	C₂×SD₁₆	—	17	1	no	—
1218	C₂×SD₁₆	—	17	1	no	—
1219	C₂×SD₁₆	—	17	1	no	—
1220	C₂×SD₁₆	—	17	1	no	—
1221	C₂×SD₁₆	—	17	1	no	—
1222	C₂×SD₁₆	—	17	1	no	—
1223	C₂×SD₁₆	—	17	1	no	—
1224	C₂×SD₁₆	—	17	1	no	—
1225	C₂×SD₁₆	—	68	2	no	—
1226	C₂×D₈	—	17	1	no	—
1227	C₂×D₈	—	17	1	no	—
1228	C₂×D₈	—	17	1	no	—
1229	C₂×D₈	—	17	1	no	—
1230	C₂×D₈	—	17	1	no	—
1231	C₂×D₈	—	17	1	no	—
1232	C₂×D₈	—	17	1	no	—
1233	C₂×D₈	—	17	1	no	—
1234	C₂×D₈	—	17	1	no	—
1235	C₂×D₈	—	68	2	no	—
1236	C₂×M₁₆	—	17	1	no	—
1237	C₂×M₁₆	—	17	1	no	—
1238	C₂×M₁₆	—	17	1	no	—
1239	C₂×M₁₆	—	17	1	no	—
1240	C₂²×C₈	—	17	1	no	—
1241	C₂²×C₈	—	17	1	no	—
1242	C₂²×C₈	—	17	1	no	—
1243	C₂²×C₈	—	17	1	no	—
1244	C₄⋊Q₈	—	17	1	no	—
1245	C₄⋊Q₈	—	34	1	no	—
1246	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1247	#127	—	2	1	no	—
1248	#127	—	17	1	no	—
1249	#127	—	34	1	no	—
1250	#127	C₂²×D₁₇	1	1	yes	characteristic
1251	#126	—	2	1	no	—
1252	#126	—	2	1	no	—
1253	#126	—	2	1	no	—
1254	#125	—	2	1	no	—
1255	#125	C₂²×D₁₇	1	1	yes	characteristic
1256	#124	—	2	1	no	—
1257	#124	—	2	1	no	—
1258	#124	—	2	1	no	—
1259	#124	—	17	1	no	—
1260	#124	—	17	1	no	—
1261	#124	—	34	1	no	—
1262	#124	—	34	1	no	—
1263	#124	C₂²×D₁₇	1	1	yes	characteristic
1264	#123	—	2	1	no	—
1265	#123	—	2	1	no	—
1266	#123	—	2	1	no	—
1267	#123	—	2	1	no	—
1268	#123	—	2	1	no	—
1269	#123	—	2	1	no	—
1270	#123	—	2	1	no	—
1271	#123	—	34	1	no	—
1272	#123	—	34	1	no	—
1273	#123	—	34	1	no	—
1274	#123	—	34	1	no	—
1275	#123	—	34	1	no	—
1276	#123	—	34	1	no	—
1277	C₂²⋊Q₈	—	2	1	no	—
1278	C₂²⋊Q₈	—	2	1	no	—
1279	C₂²⋊Q₈	—	17	1	no	—
1280	C₂²⋊Q₈	—	17	1	no	—
1281	C₂²⋊Q₈	—	17	1	no	—
1282	C₂²⋊Q₈	—	17	1	no	—
1283	C₂²⋊Q₈	—	34	1	no	—
1284	C₂²⋊Q₈	—	34	1	no	—
1285	C₂²⋊Q₈	—	34	1	no	—
1286	C₂²⋊Q₈	—	34	1	no	—
1287	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1288	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1289	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	—	2	1	no	—
1295	#121	—	2	1	no	—
1296	#121	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	—	2	1	no	—
1300	#121	—	2	1	no	—
1301	#121	—	2	1	no	—
1302	#121	—	2	1	no	—
1303	#121	—	17	1	no	—
1304	#121	—	17	1	no	—
1305	#121	—	17	1	no	—
1306	#121	—	17	1	no	—
1307	#121	—	34	1	no	—
1308	#121	—	34	1	no	—
1309	#121	—	34	1	no	—
1310	#121	—	34	1	no	—
1311	#121	—	34	1	no	—
1312	#121	—	34	1	no	—
1313	#121	—	34	1	no	—
1314	#121	—	34	1	no	—
1315	#121	—	34	1	no	—
1316	#121	—	34	1	no	—
1317	#121	C₂²×D₁₇	1	1	yes	characteristic
1318	#121	C₂²×D₁₇	1	1	yes	characteristic
1319	#121	C₂²×D₁₇	1	1	yes	characteristic
1320	#121	C₂²×D₁₇	1	1	yes	characteristic
1321	#121	C₂²×D₁₇	1	1	yes	characteristic
1322	#121	C₂²×D₁₇	1	1	yes	characteristic
1323	#121	C₂²×D₁₇	1	1	yes	characteristic
1324	#121	C₂²×D₁₇	1	1	yes	characteristic
1325	#121	C₂²×D₁₇	1	1	yes	characteristic
1326	#120	—	2	1	no	—
1327	#120	—	2	1	no	—
1328	#120	—	2	1	no	—
1329	#120	—	2	1	no	—
1330	#120	—	2	1	no	—
1331	#120	—	2	1	no	—
1332	#120	—	34	1	no	—
1333	#120	—	34	1	no	—
1334	#120	—	34	1	no	—
1335	#120	—	34	1	no	—
1336	#120	—	34	1	no	—
1337	#120	—	34	1	no	—
1338	C₄×Q₈	—	17	1	no	—
1339	C₄×Q₈	—	17	1	no	—
1340	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1341	C₄×D₄	—	2	1	no	—
1342	C₄×D₄	—	2	1	no	—
1343	C₄×D₄	—	2	1	no	—
1344	C₄×D₄	—	2	1	no	—
1345	C₄×D₄	—	2	1	no	—
1346	C₄×D₄	—	2	1	no	—
1347	C₄×D₄	—	2	1	no	—
1348	C₄×D₄	—	2	1	no	—
1349	C₄×D₄	—	2	1	no	—
1350	C₄×D₄	—	2	1	no	—
1351	C₄×D₄	—	17	1	no	—
1352	C₄×D₄	—	17	1	no	—
1353	C₄×D₄	—	34	1	no	—
1354	C₄×D₄	—	34	1	no	—
1355	C₄×D₄	—	34	1	no	—
1356	C₄×D₄	—	34	1	no	—
1357	C₄×D₄	—	34	1	no	—
1358	C₄×D₄	—	34	1	no	—
1359	C₄×D₄	—	34	1	no	—
1360	C₄×D₄	—	34	1	no	—
1361	C₄×D₄	—	34	1	no	—
1362	C₄×D₄	—	34	1	no	—
1363	C₄×D₄	—	34	1	no	—
1364	C₄×D₄	—	34	1	no	—
1365	C₄×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1366	C₄×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1367	C₄×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1368	C₄×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1369	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1370	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1371	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1372	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1373	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1374	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1375	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1376	#117	—	2	1	no	—
1377	#117	—	2	1	no	—
1378	#117	—	17	1	no	—
1379	#117	—	34	1	no	—
1380	#117	C₂²×D₁₇	1	1	yes	characteristic
1381	#117	C₂²×D₁₇	1	1	yes	characteristic
1382	C₂×C₄⋊C₄	—	34	1	no	—
1383	C₂×C₄⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
1384	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1385	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1386	C₂×C₂²⋊C₄	—	2	1	no	—
1387	C₂×C₂²⋊C₄	—	2	1	no	—
1388	C₂×C₂²⋊C₄	—	2	1	no	—
1389	C₂×C₂²⋊C₄	—	2	1	no	—
1390	C₂×C₂²⋊C₄	—	34	1	no	—
1391	C₂×C₂²⋊C₄	—	34	1	no	—
1392	C₂×C₂²⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
1393	C₂×C₂²⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
1394	C₂×C₄²	—	34	1	no	—
1395	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1396	#107	—	17	1	no	—
1397	#107	—	17	1	no	—
1398	#107	—	17	1	no	—
1399	#107	—	17	1	no	—
1400	#106	—	17	1	no	—
1401	#106	—	17	1	no	—
1402	#106	—	17	1	no	—
1403	#106	—	17	1	no	—
1404	C₄⋊C₈	—	17	1	no	—
1405	C₄⋊C₈	—	17	1	no	—
1406	C₄⋊C₈	—	17	1	no	—
1407	C₄⋊C₈	—	17	1	no	—
1408	#103	—	17	1	no	—
1409	#103	—	17	1	no	—
1410	#103	—	17	1	no	—
1411	#103	—	17	1	no	—
1412	#103	—	17	1	no	—
1413	#103	—	17	1	no	—
1414	#103	—	17	1	no	—
1415	#103	—	17	1	no	—
1416	#103	—	17	1	no	—
1417	#103	—	17	1	no	—
1418	#103	—	17	1	no	—
1419	#103	—	17	1	no	—
1420	#103	—	17	1	no	—
1421	#103	—	17	1	no	—
1422	#102	—	17	1	no	—
1423	#102	—	17	1	no	—
1424	#102	—	17	1	no	—
1425	#102	—	17	1	no	—
1426	#102	—	17	1	no	—
1427	#102	—	17	1	no	—
1428	#102	—	17	1	no	—
1429	#102	—	17	1	no	—
1430	#102	—	17	1	no	—
1431	#102	—	17	1	no	—
1432	#102	—	17	1	no	—
1433	#102	—	17	1	no	—
1434	#102	—	17	1	no	—
1435	#102	—	17	1	no	—
1436	#102	—	17	1	no	—
1437	#102	—	17	1	no	—
1438	#102	—	17	1	no	—
1439	#102	—	17	1	no	—
1440	C₂²⋊C₈	—	17	1	no	—
1441	C₂²⋊C₈	—	17	1	no	—
1442	C₂²⋊C₈	—	17	1	no	—
1443	C₂²⋊C₈	—	17	1	no	—
1444	C₂²⋊C₈	—	17	1	no	—
1445	C₂²⋊C₈	—	17	1	no	—
1446	C₂²⋊C₈	—	17	1	no	—
1447	C₂²⋊C₈	—	17	1	no	—
1448	C₂²⋊C₈	—	17	1	no	—
1449	C₂²⋊C₈	—	17	1	no	—
1450	C₂²⋊C₈	—	17	1	no	—
1451	C₂²⋊C₈	—	17	1	no	—
1452	#97	—	17	1	no	—
1453	#97	—	17	1	no	—
1454	#97	—	17	1	no	—
1455	#97	—	17	1	no	—
1456	C₁₇	#61579	1	1	yes	characteristic, complemented, Sylow
1457	C₂⁴	—	2	1	no	—
1458	C₂⁴	—	2	1	no	—
1459	C₂⁴	—	34	1	no	—
1460	C₂⁴	—	34	1	no	—
1461	C₂⁴	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1462	C₂⁴	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1463	#41	—	4	1	no	—
1464	#41	—	4	1	no	—
1465	#41	—	4	1	no	—
1466	#41	—	4	1	no	—
1467	#41	—	8	2	no	—
1468	#41	—	34	2	no	—
1469	#41	—	34	2	no	—
1470	#41	—	34	2	no	—
1471	#41	—	34	2	no	—
1472	#41	—	34	2	no	—
1473	#41	—	34	2	no	—
1474	#41	—	68	1	no	—
1475	#41	—	68	1	no	—
1476	#41	—	68	1	no	—
1477	#41	—	68	1	no	—
1478	#41	—	68	1	no	—
1479	#41	—	68	1	no	—
1480	#41	—	68	1	no	—
1481	#41	—	68	1	no	—
1482	#41	—	68	4	no	—
1483	#41	—	68	4	no	—
1484	#41	—	68	4	no	—
1485	#41	—	68	4	no	—
1486	C₂×Q₈	—	2	1	no	—
1487	C₂×Q₈	—	17	1	no	—
1488	C₂×Q₈	—	17	1	no	—
1489	C₂×Q₈	—	17	1	no	—
1490	C₂×Q₈	—	34	2	no	—
1491	C₂×Q₈	—	34	2	no	—
1492	C₂×Q₈	—	34	1	no	—
1493	C₂×Q₈	—	34	1	no	—
1494	C₂×Q₈	—	68	1	no	—
1495	C₂×Q₈	—	68	1	no	—
1496	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	2	1	no	—
1511	C₂×D₄	—	2	1	no	—
1512	C₂×D₄	—	4	1	no	—
1513	C₂×D₄	—	4	1	no	—
1514	C₂×D₄	—	4	1	no	—
1515	C₂×D₄	—	4	1	no	—
1516	C₂×D₄	—	4	2	no	—
1517	C₂×D₄	—	4	4	no	—
1518	C₂×D₄	—	8	2	no	—
1519	C₂×D₄	—	8	2	no	—
1520	C₂×D₄	—	17	1	no	—
1521	C₂×D₄	—	17	1	no	—
1522	C₂×D₄	—	17	1	no	—
1523	C₂×D₄	—	34	2	no	—
1524	C₂×D₄	—	34	2	no	—
1525	C₂×D₄	—	34	1	no	—
1526	C₂×D₄	—	34	1	no	—
1527	C₂×D₄	—	34	1	no	—
1528	C₂×D₄	—	34	1	no	—
1529	C₂×D₄	—	34	1	no	—
1530	C₂×D₄	—	34	1	no	—
1531	C₂×D₄	—	34	1	no	—
1532	C₂×D₄	—	34	1	no	—
1533	C₂×D₄	—	34	1	no	—
1534	C₂×D₄	—	34	1	no	—
1535	C₂×D₄	—	34	1	no	—
1536	C₂×D₄	—	34	1	no	—
1537	C₂×D₄	—	34	1	no	—
1538	C₂×D₄	—	34	1	no	—
1539	C₂×D₄	—	34	1	no	—
1540	C₂×D₄	—	68	1	no	—
1541	C₂×D₄	—	68	1	no	—
1542	C₂×D₄	—	68	4	no	—
1543	C₂×D₄	—	68	4	no	—
1544	C₂×D₄	—	68	4	no	—
1545	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1546	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1547	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1548	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1549	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1550	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1551	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	2	1	no	—
1556	C₂²×C₄	—	2	1	no	—
1557	C₂²×C₄	—	2	1	no	—
1558	C₂²×C₄	—	2	1	no	—
1559	C₂²×C₄	—	4	1	no	—
1560	C₂²×C₄	—	4	1	no	—
1561	C₂²×C₄	—	4	1	no	—
1562	C₂²×C₄	—	4	1	no	—
1563	C₂²×C₄	—	34	1	no	—
1564	C₂²×C₄	—	34	1	no	—
1565	C₂²×C₄	—	34	1	no	—
1566	C₂²×C₄	—	34	1	no	—
1567	C₂²×C₄	—	34	1	no	—
1568	C₂²×C₄	—	34	1	no	—
1569	C₂²×C₄	—	34	1	no	—
1570	C₂²×C₄	—	34	1	no	—
1571	C₂²×C₄	—	34	1	no	—
1572	C₂²×C₄	—	34	1	no	—
1573	C₂²×C₄	—	34	1	no	—
1574	C₂²×C₄	—	68	4	no	—
1575	C₂²×C₄	—	68	4	no	—
1576	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1577	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1578	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1579	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1580	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1581	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1582	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1583	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1584	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1585	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1586	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1587	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1588	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1589	Q₁₆	—	34	2	no	—
1590	Q₁₆	—	68	1	no	—
1591	Q₁₆	—	68	1	no	—
1592	SD₁₆	—	34	2	no	—
1593	SD₁₆	—	34	2	no	—
1594	SD₁₆	—	34	2	no	—
1595	SD₁₆	—	34	2	no	—
1596	SD₁₆	—	68	1	no	—
1597	SD₁₆	—	68	1	no	—
1598	SD₁₆	—	68	1	no	—
1599	SD₁₆	—	68	1	no	—
1600	SD₁₆	—	68	1	no	—
1601	SD₁₆	—	68	1	no	—
1602	SD₁₆	—	68	1	no	—
1603	SD₁₆	—	68	1	no	—
1604	D₈	—	34	2	no	—
1605	D₈	—	34	2	no	—
1606	D₈	—	34	2	no	—
1607	D₈	—	68	1	no	—
1608	D₈	—	68	1	no	—
1609	D₈	—	68	1	no	—
1610	D₈	—	68	1	no	—
1611	D₈	—	68	1	no	—
1612	D₈	—	68	1	no	—
1613	M₁₆	—	68	1	no	—
1614	M₁₆	—	68	1	no	—
1615	M₁₆	—	68	1	no	—
1616	M₁₆	—	68	1	no	—
1617	C₂×C₈	—	17	1	no	—
1618	C₂×C₈	—	17	1	no	—
1619	C₂×C₈	—	17	1	no	—
1620	C₂×C₈	—	17	1	no	—
1621	C₂×C₈	—	17	1	no	—
1622	C₂×C₈	—	17	1	no	—
1623	C₂×C₈	—	17	1	no	—
1624	C₂×C₈	—	17	1	no	—
1625	C₂×C₈	—	68	1	no	—
1626	C₂×C₈	—	68	1	no	—
1627	C₂×C₈	—	68	1	no	—
1628	C₂×C₈	—	68	1	no	—
1629	C₄⋊C₄	—	2	1	no	—
1630	C₄⋊C₄	—	2	1	no	—
1631	C₄⋊C₄	—	2	1	no	—
1632	C₄⋊C₄	—	2	1	no	—
1633	C₄⋊C₄	—	2	1	no	—
1634	C₄⋊C₄	—	2	1	no	—
1635	C₄⋊C₄	—	2	1	no	—
1636	C₄⋊C₄	—	2	1	no	—
1637	C₄⋊C₄	—	2	1	no	—
1638	C₄⋊C₄	—	17	1	no	—
1639	C₄⋊C₄	—	17	1	no	—
1640	C₄⋊C₄	—	34	1	no	—
1641	C₄⋊C₄	—	34	1	no	—
1642	C₄⋊C₄	—	34	1	no	—
1643	C₄⋊C₄	—	34	1	no	—
1644	C₄⋊C₄	—	34	1	no	—
1645	C₄⋊C₄	—	34	1	no	—
1646	C₄⋊C₄	—	34	1	no	—
1647	C₄⋊C₄	—	34	1	no	—
1648	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1649	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1650	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1651	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1652	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1653	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1654	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1655	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	2	1	no	—
1663	C₂²⋊C₄	—	2	1	no	—
1664	C₂²⋊C₄	—	2	1	no	—
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	34	1	no	—
1676	C₂²⋊C₄	—	34	1	no	—
1677	C₂²⋊C₄	—	34	1	no	—
1678	C₂²⋊C₄	—	34	1	no	—
1679	C₂²⋊C₄	—	34	1	no	—
1680	C₂²⋊C₄	—	34	1	no	—
1681	C₂²⋊C₄	—	34	1	no	—
1682	C₂²⋊C₄	—	34	1	no	—
1683	C₂²⋊C₄	—	34	1	no	—
1684	C₂²⋊C₄	—	34	1	no	—
1685	C₂²⋊C₄	—	34	1	no	—
1686	C₂²⋊C₄	—	34	1	no	—
1687	C₂²⋊C₄	—	34	1	no	—
1688	C₂²⋊C₄	—	34	1	no	—
1689	C₂²⋊C₄	—	34	1	no	—
1690	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1691	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1692	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1693	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1694	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1695	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1696	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1697	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1698	C₄²	—	2	1	no	—
1699	C₄²	—	2	1	no	—
1700	C₄²	—	2	1	no	—
1701	C₄²	—	34	1	no	—
1702	C₄²	—	34	1	no	—
1703	C₄²	—	34	1	no	—
1704	C₄²	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1705	C₄²	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1706	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1707	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1708	C₂³	—	2	2	no	—
1709	C₂³	—	2	1	no	—
1710	C₂³	—	2	1	no	—
1711	C₂³	—	2	1	no	—
1712	C₂³	—	4	1	no	—
1713	C₂³	—	4	1	no	—
1714	C₂³	—	4	1	no	—
1715	C₂³	—	4	1	no	—
1716	C₂³	—	4	1	no	—
1717	C₂³	—	4	2	no	—
1718	C₂³	—	4	2	no	—
1719	C₂³	—	8	1	no	—
1720	C₂³	—	8	1	no	—
1721	C₂³	—	8	1	no	—
1722	C₂³	—	8	1	no	—
1723	C₂³	—	34	1	no	—
1724	C₂³	—	34	1	no	—
1725	C₂³	—	34	1	no	—
1726	C₂³	—	68	2	no	—
1727	C₂³	—	68	2	no	—
1728	C₂³	—	68	2	no	—
1729	C₂³	—	68	2	no	—
1730	C₂³	—	136	1	no	—
1731	C₂³	—	136	1	no	—
1732	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1733	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1734	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1735	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1736	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1737	Q₈	—	2	1	no	—
1738	Q₈	—	2	1	no	—
1739	Q₈	—	8	1	no	—
1740	Q₈	—	17	2	no	—
1741	Q₈	—	34	1	no	—
1742	Q₈	—	34	1	no	—
1743	Q₈	—	34	1	no	—
1744	Q₈	—	34	1	no	—
1745	Q₈	—	34	1	no	—
1746	Q₈	—	68	2	no	—
1747	Q₈	—	68	2	no	—
1748	D₄	—	2	2	no	—
1749	D₄	—	2	2	no	—
1750	D₄	—	2	1	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	2	1	no	—
1755	D₄	—	2	1	no	—
1756	D₄	—	4	1	no	—
1757	D₄	—	4	1	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	4	2	no	—
1760	D₄	—	4	2	no	—
1761	D₄	—	4	2	no	—
1762	D₄	—	4	2	no	—
1763	D₄	—	4	2	no	—
1764	D₄	—	8	1	no	—
1765	D₄	—	8	1	no	—
1766	D₄	—	8	1	no	—
1767	D₄	—	8	1	no	—
1768	D₄	—	8	1	no	—
1769	D₄	—	8	1	no	—
1770	D₄	—	8	1	no	—
1771	D₄	—	8	1	no	—
1772	D₄	—	8	1	no	—
1773	D₄	—	17	2	no	—
1774	D₄	—	34	4	no	—
1775	D₄	—	34	1	no	—
1776	D₄	—	34	1	no	—
1777	D₄	—	34	1	no	—
1778	D₄	—	34	1	no	—
1779	D₄	—	34	1	no	—
1780	D₄	—	68	2	no	—
1781	D₄	—	68	2	no	—
1782	D₄	—	68	2	no	—
1783	D₄	—	68	2	no	—
1784	D₄	—	68	2	no	—
1785	D₄	—	68	2	no	—
1786	D₄	—	68	2	no	—
1787	D₄	—	68	2	no	—
1788	D₄	—	68	2	no	—
1789	D₄	—	68	2	no	—
1790	D₄	—	68	2	no	—
1791	D₄	—	136	1	no	—
1792	D₄	—	136	1	no	—
1793	D₄	—	136	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	2	1	no	—
1809	C₂×C₄	—	4	1	no	—
1810	C₂×C₄	—	4	1	no	—
1811	C₂×C₄	—	4	1	no	—
1812	C₂×C₄	—	4	1	no	—
1813	C₂×C₄	—	4	1	no	—
1814	C₂×C₄	—	4	1	no	—
1815	C₂×C₄	—	4	1	no	—
1816	C₂×C₄	—	4	1	no	—
1817	C₂×C₄	—	4	2	no	—
1818	C₂×C₄	—	8	1	no	—
1819	C₂×C₄	—	8	1	no	—
1820	C₂×C₄	—	8	1	no	—
1821	C₂×C₄	—	8	1	no	—
1822	C₂×C₄	—	8	1	no	—
1823	C₂×C₄	—	8	1	no	—
1824	C₂×C₄	—	34	4	no	—
1825	C₂×C₄	—	34	1	no	—
1826	C₂×C₄	—	34	1	no	—
1827	C₂×C₄	—	34	1	no	—
1828	C₂×C₄	—	34	1	no	—
1829	C₂×C₄	—	34	1	no	—
1830	C₂×C₄	—	68	2	no	—
1831	C₂×C₄	—	68	2	no	—
1832	C₂×C₄	—	68	2	no	—
1833	C₂×C₄	—	68	2	no	—
1834	C₂×C₄	—	68	2	no	—
1835	C₂×C₄	—	68	2	no	—
1836	C₂×C₄	—	68	2	no	—
1837	C₂×C₄	—	68	2	no	—
1838	C₂×C₄	—	68	2	no	—
1839	C₂×C₄	—	136	1	no	—
1840	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1841	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1842	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1843	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1844	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1845	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1846	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1847	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1848	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1849	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1850	C₈	—	34	1	no	—
1851	C₈	—	34	1	no	—
1852	C₈	—	34	1	no	—
1853	C₈	—	34	1	no	—
1854	C₈	—	34	1	no	—
1855	C₈	—	34	1	no	—
1856	C₈	—	34	1	no	—
1857	C₈	—	34	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	2	1	no	—
1861	C₂²	—	2	1	no	—
1862	C₂²	—	2	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	1	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	2	1	no	—
1870	C₂²	—	2	1	no	—
1871	C₂²	—	2	1	no	—
1872	C₂²	—	4	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	8	2	no	—
1882	C₂²	—	8	2	no	—
1883	C₂²	—	16	2	no	—
1884	C₂²	—	16	2	no	—
1885	C₂²	—	34	2	no	—
1886	C₂²	—	68	1	no	—
1887	C₂²	—	68	1	no	—
1888	C₂²	—	68	1	no	—
1889	C₂²	—	68	1	no	—
1890	C₂²	—	68	1	no	—
1891	C₂²	—	68	1	no	—
1892	C₂²	—	68	1	no	—
1893	C₂²	—	68	1	no	—
1894	C₂²	—	136	4	no	—
1895	C₂²	—	136	4	no	—
1896	C₂²	#11763607	1	2	yes	—
1897	C₂²	C₂³×C₂²⋊D₁₇	1	1	yes	characteristic
1898	C₄	—	2	1	no	—
1899	C₄	—	2	1	no	—
1900	C₄	—	2	1	no	—
1901	C₄	—	2	1	no	—
1902	C₄	—	2	1	no	—
1903	C₄	—	2	1	no	—
1904	C₄	—	2	1	no	—
1905	C₄	—	2	1	no	—
1906	C₄	—	2	1	no	—
1907	C₄	—	4	1	no	—
1908	C₄	—	4	1	no	—
1909	C₄	—	4	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	4	1	no	—
1912	C₄	—	34	2	no	—
1913	C₄	—	68	1	no	—
1914	C₄	—	68	1	no	—
1915	C₄	—	68	1	no	—
1916	C₄	—	68	1	no	—
1917	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1918	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1919	C₂	—	2	2	no	—
1920	C₂	—	4	1	no	—
1921	C₂	—	4	1	no	—
1922	C₂	—	4	1	no	—
1923	C₂	—	4	1	no	—
1924	C₂	—	8	1	no	—
1925	C₂	—	8	1	no	—
1926	C₂	—	8	1	no	—
1927	C₂	—	68	2	no	—
1928	C₂	—	136	1	no	—
1929	C₂	—	136	1	no	—
1930	C₂	#14542415	1	1	yes	characteristic
1931	C₂	C₂×#11763607	1	1	yes	characteristic
1932	C₂	#14543564	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₇
Fitting	C₁₇×#3519	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3519	D₁₇
hypocenter	C₁₇	#61579
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3519

Complements

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

N	H ≅ G/N	type
1. D₄×#63252	C₂	semidirect
2. #14540964	C₂	semidirect
3. #14540949	C₂	semidirect
4. #14540934	C₂	semidirect
5. #14540919	C₂	semidirect
6. #14540889	C₂	semidirect
7. #14540859	C₂	semidirect
8. #14540784	C₂	semidirect
9. #14540754	C₂	semidirect
10. #14540365	C₂	semidirect
11. #14540325	C₂	semidirect
12. #14540320	C₂	semidirect
13. #14540305	C₂	semidirect
14. #14540290	C₂	semidirect
15. #14540275	C₂	semidirect
16. #14540265	C₂	semidirect
17. #14540260	C₂	semidirect
18. #14539817	C₂	semidirect
19. #14539775	C₂	semidirect
20. #14539621	C₂	semidirect
21. #14539598	C₂	semidirect
22. #14539572	C₂	semidirect
23. #14539549	C₂	semidirect
24. #14538929	C₂	semidirect
25. #14538887	C₂	semidirect
26. #14538034	C₂	semidirect
27. #14538024	C₂	semidirect
28. #14538000	C₂	semidirect
29. C₂×#11762952	C₂	semidirect
30. #14537813	C₂	semidirect
31. C₁₇×#3519	C₂	semidirect
32. C₂²×#63252	C₂²	semidirect
33. C₂²×#63252	C₂²	semidirect
34. C₂×#10587637	C₂²	semidirect
35. C₂×#10587618	C₂²	semidirect
36. C₂×#10587618	C₂²	semidirect
37. C₂×#10587635	C₂²	semidirect
38. C₂×#10587636	C₂²	semidirect
39. C₂×#10587636	C₂²	semidirect
40. C₂²×#63229	C₂²	semidirect
41. C₂²×#63228	C₂²	semidirect
42. #11763480	C₂²	semidirect
43. D₄×Dic₃₄	C₂²	semidirect
45. #11763468	C₂²	semidirect
46. #11763464	C₂²	semidirect
49. #11763455	C₂²	semidirect
52. D₄×D₆₈	C₂²	semidirect
54. #11763359	C₂²	semidirect
56. #11763320	C₂²	semidirect
57. #11763320	C₂²	semidirect
60. C₄×#63252	C₂²	semidirect
62. #11763204	C₂²	semidirect
63. #11763199	C₂²	semidirect
64. #11763196	C₂²	semidirect
65. #11763196	C₂²	semidirect
66. #11763179	C₂²	semidirect
67. #11763175	C₂²	semidirect
68. #11763171	C₂²	semidirect
69. #11763171	C₂²	semidirect
70. #11763150	C₂²	semidirect
71. #11763150	C₂²	semidirect
72. #11763147	C₂²	semidirect
73. #11763144	C₂²	semidirect
74. #11763139	C₂²	semidirect
75. #11763133	C₂²	semidirect
76. #11763133	C₂²	semidirect
77. #11763130	C₂²	semidirect
78. #11763130	C₂²	semidirect
79. #11763130	C₂²	semidirect
80. #11763127	C₂²	semidirect
81. #11763122	C₂²	semidirect
82. #11763113	C₂²	semidirect
83. #11763106	C₂²	semidirect
84. #11763091	C₂²	semidirect
85. #11763086	C₂²	semidirect
86. #11763065	C₂²	semidirect
87. #11763060	C₂²	semidirect
88. #11763060	C₂²	semidirect
89. #11763060	C₂²	semidirect
90. #11763057	C₂²	semidirect
91. #11763053	C₂²	semidirect
92. #11763053	C₂²	semidirect
93. #11763053	C₂²	semidirect
94. #11763048	C₂²	semidirect
95. #11763043	C₂²	semidirect
96. #11763043	C₂²	semidirect
97. #11763043	C₂²	semidirect
98. #11763040	C₂²	semidirect
99. #11763036	C₂²	semidirect
100. #11763036	C₂²	semidirect
101. #11763036	C₂²	semidirect
102. #11763031	C₂²	semidirect
103. #11763031	C₂²	semidirect
104. #11763028	C₂²	semidirect
105. #11763024	C₂²	semidirect
106. #11763024	C₂²	semidirect
107. #11763021	C₂²	semidirect
108. #11763014	C₂²	semidirect
109. #11763014	C₂²	semidirect
110. #11763006	C₂²	semidirect
111. #11763004	C₂²	semidirect
112. #11763004	C₂²	semidirect
113. #11763001	C₂²	semidirect
114. #11762971	C₂²	semidirect
115. #11762971	C₂²	semidirect
116. #11762969	C₂²	semidirect
117. #11762969	C₂²	semidirect
118. #11762969	C₂²	semidirect
119. #11762969	C₂²	semidirect
120. #11762969	C₂²	semidirect
121. #11762964	C₂²	semidirect
122. #11762960	C₂²	semidirect
123. #11762960	C₂²	semidirect
124. #11762959	C₂²	semidirect
125. #11762954	C₂²	semidirect
126. #11762954	C₂²	semidirect
128. #11762952	C₂²	semidirect
129. #11762952	C₂²	semidirect
130. #11762952	C₂²	semidirect
131. #11762952	C₂²	semidirect
132. #11762952	C₂²	semidirect
133. #11762952	C₂²	semidirect
134. #11762952	C₂²	semidirect
135. #11762952	C₂²	semidirect
136. #11762952	C₂²	semidirect
137. #11762952	C₂²	semidirect
138. #11762952	C₂²	semidirect
139. #11762952	C₂²	semidirect
140. #11762952	C₂²	semidirect
141. #11762952	C₂²	semidirect
142. #11762947	C₂²	semidirect
143. #11762947	C₂²	semidirect
144. #11762947	C₂²	semidirect
145. #11762943	C₂²	semidirect
146. #11762943	C₂²	semidirect
147. #11762942	C₂²	semidirect
148. #11762942	C₂²	semidirect
149. #11762942	C₂²	semidirect
150. #11762919	C₂²	semidirect
151. #11762919	C₂²	semidirect
152. #11762919	C₂²	semidirect
153. #11762914	C₂²	semidirect
154. #11762909	C₂²	semidirect
155. #11762909	C₂²	semidirect
156. #11762909	C₂²	semidirect
157. #11762907	C₂²	semidirect
158. #11762881	C₂²	semidirect
159. #11762881	C₂²	semidirect
160. #11762881	C₂²	semidirect
161. #11762881	C₂²	semidirect
162. #11762881	C₂²	semidirect
163. #11762881	C₂²	semidirect
164. #11762881	C₂²	semidirect
165. #11762881	C₂²	semidirect
166. #11762866	C₂²	semidirect
167. #11762866	C₂²	semidirect
168. #11762817	C₂²	semidirect
169. #11762813	C₂²	semidirect
170. #11762808	C₂²	semidirect
171. #11762808	C₂²	semidirect
172. #11762803	C₂²	semidirect
173. #11762803	C₂²	semidirect
174. C₂×#10587481	C₂²	semidirect
175. C₂×#10587480	C₂²	semidirect
176. #11762773	C₂²	semidirect
177. #11762773	C₂²	semidirect
178. C₂×C₂²⋊#3622	C₂²	semidirect
179. C₂×C₂²⋊#3622	C₂²	semidirect
180. C₁₇×#555	C₂²	semidirect
181. C₁₇×#554	C₂²	semidirect
184. C₁₇×#553	C₂²	semidirect
185. C₁₇×#550	C₂²	semidirect
189. C₁₇×#546	C₂²	semidirect
191. D₄²×C₁₇	C₂²	semidirect
195. C₁₇×#532	C₂²	semidirect
196. C₁₇×#529	C₂²	semidirect
197. C₁₇×#525	C₂²	semidirect
198. C₁₇×#525	C₂²	semidirect
199. C₂×C₁₇×#121	C₂²	semidirect
200. C₂×C₁₇×#121	C₂²	semidirect
892. #3519	D₁₇	semidirect
994. #555	C₂×D₁₇	semidirect
995. #554	C₂×D₁₇	semidirect
998. #553	C₂×D₁₇	semidirect
1000. #550	C₂×D₁₇	semidirect
1013. #546	C₂×D₁₇	semidirect
1017. D₄²	C₂×D₁₇	semidirect
1023. #532	C₂×D₁₇	semidirect
1024. #529	C₂×D₁₇	semidirect
1029. #525	C₂×D₁₇	semidirect
1030. #525	C₂×D₁₇	semidirect
1031. C₂×#121	C₂×D₁₇	semidirect
1032. C₂×#121	C₂×D₁₇	semidirect
1456. C₁₇	#61579	semidirect

Maximal subgroups

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

subgroup	index
D₄×#63252	2
#14540964	2
#14540949	2
#14540934	2
#14540919	2
#14540889	2
#14540859	2
#14540784	2
#14540754	2
#14540365	2
#14540325	2
#14540320	2
#14540305	2
#14540290	2
#14540275	2
#14540265	2
#14540260	2
#14539817	2
#14539775	2
#14539621	2
#14539598	2
#14539572	2
#14539549	2
#14538929	2
#14538887	2
#14538034	2
#14538024	2
#14538000	2
C₂×#11762952	2
#14537813	2
C₁₇×#3519	2
#61579	17