Subgroups — #17920028

Order 4352.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14543100	C₂	1	1	yes	maximal, characteristic, complemented
2	#14541089	C₂	1	1	yes	maximal, characteristic, complemented
3	#14541000	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540940	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540880	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540760	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540745	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540712	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540634	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540510	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540465	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540391	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540384	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540320	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540310	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540310	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540265	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539893	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539845	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539666	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539651	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539621	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539545	C₂	1	1	yes	maximal, characteristic, complemented
24	#14539027	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538968	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538088	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538052	C₂	1	1	yes	maximal, characteristic, complemented
28	#14538036	C₂	1	1	yes	maximal, characteristic, complemented
29	#14538002	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537832	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3485	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587618	C₂²	1	1	yes	characteristic, complemented
33	C₂×#10587635	C₂²	1	1	yes	characteristic, complemented
34	C₂×#10587635	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587635	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10587636	C₂²	1	1	yes	characteristic, complemented
37	C₂×#10587636	C₂²	1	1	yes	characteristic, complemented
38	C₂×#10587636	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#63228	C₂²	1	1	yes	characteristic, complemented
40	#11763555	—	2	1	no	—
41	#11763547	—	2	1	no	—
42	#11763524	C₂²	1	1	yes	characteristic, complemented
43	#11763505	C₂²	1	1	yes	characteristic, complemented
44	#11763499	C₂²	1	1	yes	characteristic, complemented
45	#11763486	—	2	1	no	—
46	#11763480	C₂²	1	1	yes	characteristic, complemented
47	#11763463	C₂²	1	1	yes	characteristic, complemented
48	#11763455	C₂²	1	1	yes	characteristic, complemented
49	#11763455	C₂²	1	1	yes	characteristic, complemented
50	#11763448	—	2	1	no	—
51	D₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
52	#11763430	C₂²	1	1	yes	characteristic, complemented
53	#11763414	C₂²	1	1	yes	characteristic, complemented
54	#11763411	—	2	1	no	—
55	#11763395	—	2	1	no	—
56	#11763387	C₂²	1	1	yes	characteristic
57	#11763374	—	2	1	no	—
58	#11763373	C₂²	1	1	yes	characteristic
59	#11763369	—	2	1	no	—
60	#11763320	C₂²	1	1	yes	characteristic, complemented
61	C₂×#10587616	C₂²	1	1	yes	characteristic, complemented
62	#11763201	C₂²	1	1	yes	characteristic, complemented
63	#11763199	C₂²	1	1	yes	characteristic, complemented
64	#11763191	C₂²	1	1	yes	characteristic, complemented
65	#11763183	C₂²	1	1	yes	characteristic, complemented
66	#11763177	C₂²	1	1	yes	characteristic, complemented
67	#11763168	C₂²	1	1	yes	characteristic, complemented
68	#11763163	C₂²	1	1	yes	characteristic, complemented
69	#11763159	C₂²	1	1	yes	characteristic, complemented
70	#11763150	C₂²	1	1	yes	characteristic, complemented
71	#11763147	C₂²	1	1	yes	characteristic, complemented
72	#11763147	C₂²	1	1	yes	characteristic, complemented
73	#11763147	C₂²	1	1	yes	characteristic, complemented
74	#11763142	C₂²	1	1	yes	characteristic, complemented
75	#11763142	C₂²	1	1	yes	characteristic, complemented
76	#11763137	C₂²	1	1	yes	characteristic, complemented
77	#11763133	C₂²	1	1	yes	characteristic, complemented
78	#11763133	C₂²	1	1	yes	characteristic, complemented
79	#11763133	C₂²	1	1	yes	characteristic, complemented
80	#11763130	C₂²	1	1	yes	characteristic, complemented
81	#11763125	C₂²	1	1	yes	characteristic, complemented
82	#11763109	C₂²	1	1	yes	characteristic, complemented
83	#11763109	C₂²	1	1	yes	characteristic, complemented
84	#11763099	C₂²	1	1	yes	characteristic, complemented
85	#11763089	C₂²	1	1	yes	characteristic, complemented
86	#11763065	C₂²	1	1	yes	characteristic, complemented
87	#11763065	C₂²	1	1	yes	characteristic, complemented
88	#11763060	C₂²	1	1	yes	characteristic, complemented
89	#11763057	C₂²	1	1	yes	characteristic, complemented
90	#11763057	C₂²	1	1	yes	characteristic, complemented
91	#11763057	C₂²	1	1	yes	characteristic, complemented
92	#11763057	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	#11763040	C₂²	1	1	yes	characteristic, complemented
98	#11763040	C₂²	1	1	yes	characteristic, complemented
99	#11763040	C₂²	1	1	yes	characteristic, complemented
100	#11763040	C₂²	1	1	yes	characteristic, complemented
101	#11763040	C₂²	1	1	yes	characteristic, complemented
102	#11763028	C₂²	1	1	yes	characteristic, complemented
103	#11763024	C₂²	1	1	yes	characteristic, complemented
104	#11763024	C₂²	1	1	yes	characteristic, complemented
105	#11763021	C₂²	1	1	yes	characteristic, complemented
106	#11763021	C₂²	1	1	yes	characteristic, complemented
107	#11763021	C₂²	1	1	yes	characteristic, complemented
108	#11763016	C₂²	1	1	yes	characteristic, complemented
109	#11763011	C₂²	1	1	yes	characteristic, complemented
110	#11763011	C₂²	1	1	yes	characteristic, complemented
111	#11763011	C₂²	1	1	yes	characteristic, complemented
112	#11763004	C₂²	1	1	yes	characteristic, complemented
113	#11763004	C₂²	1	1	yes	characteristic, complemented
114	#11762971	C₂²	1	1	yes	characteristic, complemented
115	#11762971	C₂²	1	1	yes	characteristic, complemented
116	#11762971	C₂²	1	1	yes	characteristic, complemented
117	#11762971	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	#11762965	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	#11762959	C₂²	1	1	yes	characteristic, complemented
126	#11762959	C₂²	1	1	yes	characteristic, complemented
127	#11762954	C₂²	1	1	yes	characteristic
128	#11762954	C₂²	1	1	yes	characteristic, complemented
129	#11762954	C₂²	1	1	yes	characteristic, complemented
130	#11762954	C₂²	1	1	yes	characteristic, complemented
131	#11762954	C₂²	1	1	yes	characteristic, complemented
132	#11762954	C₂²	1	1	yes	characteristic, complemented
133	#11762954	C₂²	1	1	yes	characteristic, complemented
134	#11762954	C₂²	1	1	yes	characteristic, complemented
135	#11762954	C₂²	1	1	yes	characteristic, complemented
136	#11762954	C₂²	1	1	yes	characteristic, complemented
137	#11762954	C₂²	1	1	yes	characteristic, complemented
138	#11762954	C₂²	1	1	yes	characteristic, complemented
139	#11762952	C₂²	1	1	yes	characteristic, complemented
140	#11762948	C₂²	1	1	yes	characteristic, complemented
141	#11762948	C₂²	1	1	yes	characteristic, complemented
142	#11762948	C₂²	1	1	yes	characteristic, complemented
143	#11762943	C₂²	1	1	yes	characteristic
144	#11762943	C₂²	1	1	yes	characteristic, complemented
145	#11762943	C₂²	1	1	yes	characteristic, complemented
146	#11762943	C₂²	1	1	yes	characteristic, complemented
147	#11762943	C₂²	1	1	yes	characteristic, complemented
148	#11762943	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	#11762909	C₂²	1	1	yes	characteristic, complemented
154	C₄×#63229	C₂²	1	1	yes	characteristic, complemented
155	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
156	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
157	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
158	#11762887	C₂²	1	1	yes	characteristic, complemented
159	#11762887	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	D₄×#3622	C₂²	1	1	yes	characteristic, complemented
165	D₄×#3622	C₂²	1	1	yes	characteristic, complemented
166	#11762870	C₂²	1	1	yes	characteristic, complemented
167	#11762870	C₂²	1	1	yes	characteristic, complemented
168	#11762814	C₂²	1	1	yes	characteristic, complemented
169	#11762810	C₂²	1	1	yes	characteristic, complemented
170	#11762810	C₂²	1	1	yes	characteristic, complemented
171	#11762810	C₂²	1	1	yes	characteristic, complemented
172	#11762805	C₂²	1	1	yes	characteristic, complemented
173	#11762805	C₂²	1	1	yes	characteristic, complemented
174	#11762805	C₂²	1	1	yes	characteristic, complemented
175	C₂×#10587503	C₂²	1	1	yes	characteristic, complemented
176	#11762776	C₂²	1	1	yes	characteristic, complemented
177	#11762776	C₂²	1	1	yes	characteristic, complemented
178	#11762773	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₂²⋊#3622	C₂²	1	1	yes	characteristic, complemented
180	C₂×C₁₇×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
181	C₂²×#41×C₁₇	C₂²	1	1	yes	characteristic, complemented
182	C₁₇×#547	—	2	1	no	—
183	C₁₇×#547	—	2	1	no	—
184	C₁₇×#547	C₂²	1	1	yes	characteristic
185	C₁₇×#547	C₂²	1	1	yes	characteristic, complemented
186	C₁₇×#547	C₂²	1	1	yes	characteristic, complemented
187	C₁₇×#547	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#546	—	2	1	no	—
189	C₁₇×#546	—	2	1	no	—
190	C₁₇×#546	C₂²	1	1	yes	characteristic
191	C₁₇×#546	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#546	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#546	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#536	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#536	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#534	—	2	1	no	—
197	C₁₇×#534	—	2	1	no	—
198	C₁₇×#525	C₂²	1	1	yes	characteristic
199	C₁₇×#525	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₁₇×#123	—	2	1	no	—
201	C₂×C₁₇×#123	—	2	1	no	—
202	C₁₇×#518	C₂²	1	1	yes	characteristic, complemented
203	C₁₇×H(5,𝔽₂)	—	4	2	no	—
204	C₁₇×H(5,𝔽₂)	—	4	2	no	—
205	C₂×#41×C₁₇	—	2	1	no	—
206	C₂×#41×C₁₇	—	2	1	no	—
207	C₂×#41×C₁₇	—	2	1	no	—
208	C₂×#41×C₁₇	—	4	2	no	—
209	C₂×#41×C₁₇	—	4	2	no	—
210	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
212	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
217	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
218	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
219	C₂²×D₄×C₁₇	—	2	1	no	—
220	C₂²×D₄×C₁₇	—	2	1	no	—
221	C₂²×D₄×C₁₇	—	2	1	no	—
222	C₂²×D₄×C₁₇	—	2	1	no	—
223	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₁₇	—	2	1	no	—
227	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
228	C₂²×C₂²⋊D₁₇	—	2	1	no	—
229	C₂×#63254	—	2	1	no	—
230	C₂×D₄×D₁₇	—	2	1	no	—
231	C₂×#63252	C₂³	1	1	yes	characteristic
232	C₂×#63252	C₂³	1	1	yes	characteristic
233	C₂²×D₆₈	C₂³	1	1	yes	characteristic
234	C₂²×D₆₈	C₂³	1	1	yes	characteristic
235	C₁₇×C₄⋊Q₈	—	2	1	no	—
236	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₇×#124	—	2	1	no	—
239	C₁₇×#124	C₂³	1	1	yes	characteristic
240	C₁₇×#124	C₂³	1	1	yes	characteristic
241	C₁₇×#123	—	2	1	no	—
242	C₁₇×#123	—	2	1	no	—
243	C₁₇×#123	—	2	1	no	—
244	C₁₇×#123	—	2	1	no	—
245	C₁₇×#123	—	2	1	no	—
246	C₁₇×#123	—	2	1	no	—
247	C₁₇×#123	—	2	1	no	—
248	C₁₇×#123	—	2	1	no	—
249	C₁₇×#123	—	2	1	no	—
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×#123	—	2	1	no	—
258	C₁₇×#123	D₄	1	1	yes	characteristic
259	C₁₇×#123	D₄	1	1	yes	characteristic
260	C₁₇×C₂²⋊Q₈	—	2	1	no	—
261	C₁₇×C₂²⋊Q₈	—	2	1	no	—
262	C₁₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
263	C₁₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
264	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
265	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
266	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
267	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
268	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
269	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
276	C₁₇×#121	—	2	1	no	—
277	C₁₇×#121	—	2	1	no	—
278	C₁₇×#121	D₄	1	1	yes	characteristic
279	C₁₇×#121	D₄	1	1	yes	characteristic
280	C₁₇×#121	C₂³	1	1	yes	characteristic
281	C₁₇×#121	C₂³	1	1	yes	characteristic
282	C₁₇×#120	—	2	1	no	—
283	C₁₇×#120	—	2	1	no	—
284	C₁₇×#120	—	2	1	no	—
285	C₁₇×#120	—	2	1	no	—
286	C₁₇×#120	—	2	1	no	—
287	C₁₇×#120	D₄	1	1	yes	characteristic
288	C₁₇×#120	D₄	1	1	yes	characteristic
289	C₄×D₄×C₁₇	—	2	1	no	—
290	C₄×D₄×C₁₇	—	2	1	no	—
291	C₄×D₄×C₁₇	—	2	1	no	—
292	C₄×D₄×C₁₇	—	2	1	no	—
293	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
295	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
296	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
297	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
298	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
299	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
300	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
301	C₁₇×#117	C₂³	1	1	yes	characteristic
302	C₁₇×#117	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
304	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
305	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
306	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
307	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
308	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
309	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
310	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
311	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
312	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
313	#10587639	—	2	1	no	—
314	#10587636	—	4	2	no	—
315	#10587636	—	4	2	no	—
316	#10587636	—	4	2	no	—
317	#10587635	—	4	2	no	—
318	#10587635	—	4	2	no	—
319	#10587635	—	4	2	no	—
320	#10587633	—	2	1	no	—
321	#10587632	—	2	1	no	—
322	C₂×#63231	C₂³	1	1	yes	characteristic
323	C₂×#63231	C₂³	1	1	yes	characteristic
324	C₂×#63231	C₂³	1	1	yes	characteristic
325	C₂×#63230	C₂³	1	1	yes	characteristic
326	C₂×#63230	C₂³	1	1	yes	characteristic
327	C₂×#63230	C₂³	1	1	yes	characteristic
328	C₂×#63230	C₂³	1	1	yes	characteristic
329	C₂×#63230	C₂³	1	1	yes	characteristic
330	C₂×#63230	C₂³	1	1	yes	characteristic
331	C₂×#63230	C₂³	1	1	yes	characteristic
332	C₂×#63230	C₂³	1	1	yes	characteristic
333	C₂×#63230	C₂³	1	1	yes	characteristic
334	#10587626	—	2	1	no	—
335	#10587626	—	2	1	no	—
336	#10587625	—	2	1	no	—
337	#10587625	—	2	1	no	—
338	#10587625	—	2	1	no	—
339	#10587624	—	2	1	no	—
340	#10587624	—	2	1	no	—
341	#10587623	—	2	1	no	—
342	#10587623	—	2	1	no	—
343	#10587623	—	2	1	no	—
344	#10587623	—	2	1	no	—
345	#10587621	—	2	1	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	#10587618	—	4	2	no	—
350	C₂×#63228	—	4	2	no	—
351	C₂×#63228	C₂³	1	1	yes	characteristic
352	C₂×#63228	C₂³	1	1	yes	characteristic
353	C₂×#63228	C₂³	1	1	yes	characteristic
354	C₂×#63228	C₂³	1	1	yes	characteristic
355	C₂×#63228	C₂³	1	1	yes	characteristic
356	C₂×#63228	C₂³	1	1	yes	characteristic
357	C₂×#63228	C₂³	1	1	yes	characteristic
358	C₂×#63228	C₂³	1	1	yes	characteristic
359	C₂×#63228	C₂³	1	1	yes	characteristic
360	#10587616	—	2	1	no	—
361	#10587616	—	2	1	no	—
362	#10587616	C₂³	1	1	yes	characteristic
363	#10587616	C₂³	1	1	yes	characteristic
364	#10587616	C₂³	1	1	yes	characteristic
365	#10587616	C₂³	1	1	yes	characteristic
366	#10587616	C₂³	1	1	yes	characteristic
367	#10587616	C₂³	1	1	yes	characteristic
368	#10587616	C₂³	1	1	yes	characteristic
369	#10587616	C₂³	1	1	yes	characteristic
370	#10587616	C₂³	1	1	yes	characteristic
371	#10587615	—	2	1	no	—
372	C₄×C₂²⋊D₁₇	—	2	1	no	—
373	C₄×C₂²⋊D₁₇	—	2	1	no	—
374	C₂×#63227	—	2	1	no	—
375	#10587612	C₂³	1	1	yes	characteristic
376	#10587612	C₂³	1	1	yes	characteristic
377	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
378	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
379	#10587610	C₂³	1	1	yes	characteristic
380	#10587610	C₂³	1	1	yes	characteristic
381	#10587610	C₂³	1	1	yes	characteristic
382	C₂×#63223	C₂³	1	1	yes	characteristic
383	C₂×#63223	C₂³	1	1	yes	characteristic
384	C₂×#63223	C₂³	1	1	yes	characteristic
385	C₂×#63223	C₂³	1	1	yes	characteristic
386	C₂²×#3622	C₂³	1	1	yes	characteristic
387	C₂²×#3622	C₂³	1	1	yes	characteristic
388	C₂²×#3622	C₂³	1	1	yes	characteristic
389	C₂²×#3622	C₂³	1	1	yes	characteristic
390	#10587584	—	2	1	no	—
391	#10587584	—	2	1	no	—
392	#10587583	—	2	1	no	—
393	#10587582	—	2	1	no	—
394	#10587581	—	2	1	no	—
395	#10587580	—	2	1	no	—
396	#10587580	—	2	1	no	—
397	#10587580	—	2	1	no	—
398	#10587580	—	2	1	no	—
399	#10587579	—	2	1	no	—
400	#10587578	—	2	1	no	—
401	#10587575	—	2	1	no	—
402	#10587572	—	2	1	no	—
403	#10587572	—	2	1	no	—
404	#10587571	—	2	1	no	—
405	#10587571	—	2	1	no	—
406	#10587571	—	2	1	no	—
407	#10587570	—	2	1	no	—
408	#10587570	—	2	1	no	—
409	#10587570	—	2	1	no	—
410	#10587570	—	2	1	no	—
411	#10587570	—	2	1	no	—
412	#10587570	—	2	1	no	—
413	#10587569	—	2	1	no	—
414	#10587569	—	2	1	no	—
415	#10587568	—	2	1	no	—
416	#10587568	—	2	1	no	—
417	#10587567	—	2	1	no	—
418	C₂²⋊C₄×D₁₇	—	2	1	no	—
419	C₂²⋊C₄×D₁₇	—	2	1	no	—
420	#10587565	—	2	1	no	—
421	#10587563	—	2	1	no	—
422	#10587561	C₂³	1	1	yes	characteristic
423	#10587560	C₂³	1	1	yes	characteristic
424	C₄×D₆₈	C₂³	1	1	yes	characteristic
425	C₄×D₆₈	C₂³	1	1	yes	characteristic
426	C₄×D₆₈	C₂³	1	1	yes	characteristic
427	#10587556	C₂³	1	1	yes	characteristic
428	#10587555	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	#10587506	C₂³	1	1	yes	characteristic
433	#10587506	C₂³	1	1	yes	characteristic
434	#10587506	C₂³	1	1	yes	characteristic
435	#10587506	C₂³	1	1	yes	characteristic
436	#10587506	C₂³	1	1	yes	characteristic
437	#10587506	C₂³	1	1	yes	characteristic
438	#10587506	C₂³	1	1	yes	characteristic
439	#10587506	C₂³	1	1	yes	characteristic
440	#10587506	C₂³	1	1	yes	characteristic
441	#10587506	C₂³	1	1	yes	characteristic
442	#10587503	C₂³	1	1	yes	characteristic
443	#10587503	C₂³	1	1	yes	characteristic
444	#10587503	C₂³	1	1	yes	characteristic
445	#10587503	C₂³	1	1	yes	characteristic
446	#10587503	C₂³	1	1	yes	characteristic
447	#10587503	C₂³	1	1	yes	characteristic
448	#10587503	C₂³	1	1	yes	characteristic
449	#10587503	C₂³	1	1	yes	characteristic
450	#10587503	C₂³	1	1	yes	characteristic
451	#10587503	C₂³	1	1	yes	characteristic
452	#10587503	C₂³	1	1	yes	characteristic
453	#10587503	C₂³	1	1	yes	characteristic
454	C₂²⋊#3622	C₂³	1	1	yes	characteristic
455	C₂²⋊#3622	C₂³	1	1	yes	characteristic
456	C₂²⋊#3622	C₂³	1	1	yes	characteristic
457	C₂²⋊#3622	C₂³	1	1	yes	characteristic
458	C₂²⋊#3622	C₂³	1	1	yes	characteristic
459	C₂²⋊#3622	C₂³	1	1	yes	characteristic
460	C₂²⋊#3622	C₂³	1	1	yes	characteristic
461	C₂²⋊#3622	C₂³	1	1	yes	characteristic
462	C₂²⋊#3622	C₂³	1	1	yes	characteristic
463	C₂²⋊#3622	C₂³	1	1	yes	characteristic
464	C₂²⋊#3622	C₂³	1	1	yes	characteristic
465	C₂²⋊#3622	C₂³	1	1	yes	characteristic
466	#10587481	C₂³	1	1	yes	characteristic
467	#10587481	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	C₄×#3622	C₂³	1	1	yes	characteristic
489	C₄×#3622	C₂³	1	1	yes	characteristic
490	C₂⁴×C₁₇	—	2	1	no	—
491	C₂⁴×C₁₇	—	2	1	no	—
492	C₂⁴×C₁₇	—	2	1	no	—
493	C₂⁴×C₁₇	C₂×D₄	1	1	yes	characteristic
494	C₂³×D₁₇	—	2	1	no	—
495	C₂³×D₁₇	—	2	1	no	—
496	#41×C₁₇	—	2	2	no	—
497	#41×C₁₇	—	2	2	no	—
498	#41×C₁₇	—	2	2	no	—
499	#41×C₁₇	—	2	2	no	—
500	#41×C₁₇	—	2	2	no	—
501	#41×C₁₇	—	2	2	no	—
502	#41×C₁₇	—	4	1	no	—
503	#41×C₁₇	—	4	1	no	—
504	#41×C₁₇	—	4	1	no	—
505	#41×C₁₇	—	4	1	no	—
506	#41×C₁₇	—	4	1	no	—
507	#41×C₁₇	—	4	1	no	—
508	#41×C₁₇	—	4	1	no	—
509	#41×C₁₇	—	4	1	no	—
510	#41×C₁₇	—	4	1	no	—
511	#41×C₁₇	—	4	1	no	—
512	#41×C₁₇	—	4	4	no	—
513	#41×C₁₇	—	4	4	no	—
514	#41×C₁₇	—	4	4	no	—
515	C₂×Q₈×C₁₇	—	2	1	no	—
516	C₂×Q₈×C₁₇	—	4	1	no	—
517	C₂×Q₈×C₁₇	—	4	1	no	—
518	C₂×Q₈×C₁₇	C₂×D₄	1	1	yes	characteristic
519	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
520	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
521	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₁₇	—	2	2	no	—
523	C₂×D₄×C₁₇	—	2	2	no	—
524	C₂×D₄×C₁₇	—	2	2	no	—
525	C₂×D₄×C₁₇	—	2	2	no	—
526	C₂×D₄×C₁₇	—	2	1	no	—
527	C₂×D₄×C₁₇	—	2	1	no	—
528	C₂×D₄×C₁₇	—	2	1	no	—
529	C₂×D₄×C₁₇	—	2	1	no	—
530	C₂×D₄×C₁₇	—	2	1	no	—
531	C₂×D₄×C₁₇	—	2	1	no	—
532	C₂×D₄×C₁₇	—	2	1	no	—
533	C₂×D₄×C₁₇	—	2	1	no	—
534	C₂×D₄×C₁₇	—	2	1	no	—
535	C₂×D₄×C₁₇	—	2	1	no	—
536	C₂×D₄×C₁₇	—	2	1	no	—
537	C₂×D₄×C₁₇	—	2	1	no	—
538	C₂×D₄×C₁₇	—	4	1	no	—
539	C₂×D₄×C₁₇	—	4	1	no	—
540	C₂×D₄×C₁₇	—	4	4	no	—
541	C₂×D₄×C₁₇	—	4	4	no	—
542	C₂×D₄×C₁₇	—	4	4	no	—
543	C₂×D₄×C₁₇	—	4	4	no	—
544	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
545	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
546	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
547	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
548	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
549	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
550	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
551	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
552	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
553	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₁₇	—	2	1	no	—
555	C₂²×C₄×C₁₇	—	2	1	no	—
556	C₂²×C₄×C₁₇	—	2	1	no	—
557	C₂²×C₄×C₁₇	—	2	1	no	—
558	C₂²×C₄×C₁₇	—	2	1	no	—
559	C₂²×C₄×C₁₇	—	2	1	no	—
560	C₂²×C₄×C₁₇	—	2	1	no	—
561	C₂²×C₄×C₁₇	—	2	1	no	—
562	C₂²×C₄×C₁₇	—	2	1	no	—
563	C₂²×C₄×C₁₇	—	2	1	no	—
564	C₂²×C₄×C₁₇	—	2	1	no	—
565	C₂²×C₄×C₁₇	—	2	1	no	—
566	C₂²×C₄×C₁₇	—	4	1	no	—
567	C₂²×C₄×C₁₇	—	4	1	no	—
568	C₂²×C₄×C₁₇	—	4	4	no	—
569	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
571	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
572	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
577	C₂×C₂²⋊D₁₇	—	2	1	no	—
578	C₂×C₂²⋊D₁₇	—	2	1	no	—
579	C₂×C₂²⋊D₁₇	—	2	1	no	—
580	C₂×C₂²⋊D₁₇	—	2	1	no	—
581	C₂×C₂²⋊D₁₇	—	2	1	no	—
582	C₂×C₂²⋊D₁₇	—	2	1	no	—
583	C₂×C₂²⋊D₁₇	—	2	1	no	—
584	C₂×C₂²⋊D₁₇	—	2	1	no	—
585	C₂×C₂²⋊D₁₇	—	2	1	no	—
586	C₂×C₂²⋊D₁₇	—	2	1	no	—
587	C₂×C₂²⋊D₁₇	—	2	1	no	—
588	C₂×C₂²⋊D₁₇	—	8	2	no	—
589	C₂²×Dic₁₇	—	2	1	no	—
590	C₂²×Dic₁₇	—	2	1	no	—
591	#63254	—	8	2	no	—
592	D₄×D₁₇	—	8	2	no	—
593	#63252	—	4	1	no	—
594	#63252	—	4	1	no	—
595	#63252	—	4	1	no	—
596	#63252	—	4	1	no	—
597	C₂×D₆₈	—	2	1	no	—
598	C₂×D₆₈	—	2	1	no	—
599	C₂×D₆₈	—	2	1	no	—
600	C₂×D₆₈	—	2	1	no	—
601	C₂×D₆₈	—	4	1	no	—
602	C₂×D₆₈	—	4	1	no	—
603	C₂×D₆₈	—	4	1	no	—
604	C₂×D₆₈	—	4	1	no	—
605	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
606	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
607	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
612	C₂×C₄×D₁₇	—	2	1	no	—
613	C₂×Dic₃₄	—	2	1	no	—
614	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₁₇	—	2	1	no	—
616	C₄⋊C₄×C₁₇	—	2	1	no	—
617	C₄⋊C₄×C₁₇	—	2	1	no	—
618	C₄⋊C₄×C₁₇	—	2	1	no	—
619	C₄⋊C₄×C₁₇	—	2	1	no	—
620	C₄⋊C₄×C₁₇	—	2	1	no	—
621	C₄⋊C₄×C₁₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
626	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
627	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
628	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
629	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
630	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
631	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
632	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
633	C₂²⋊C₄×C₁₇	—	2	1	no	—
634	C₂²⋊C₄×C₁₇	—	2	1	no	—
635	C₂²⋊C₄×C₁₇	—	2	1	no	—
636	C₂²⋊C₄×C₁₇	—	2	1	no	—
637	C₂²⋊C₄×C₁₇	—	2	1	no	—
638	C₂²⋊C₄×C₁₇	—	2	1	no	—
639	C₂²⋊C₄×C₁₇	—	2	1	no	—
640	C₂²⋊C₄×C₁₇	—	2	1	no	—
641	C₂²⋊C₄×C₁₇	—	2	1	no	—
642	C₂²⋊C₄×C₁₇	—	2	1	no	—
643	C₂²⋊C₄×C₁₇	—	2	1	no	—
644	C₂²⋊C₄×C₁₇	—	2	1	no	—
645	C₂²⋊C₄×C₁₇	—	2	1	no	—
646	C₂²⋊C₄×C₁₇	—	2	1	no	—
647	C₂²⋊C₄×C₁₇	—	2	1	no	—
648	C₂²⋊C₄×C₁₇	—	2	1	no	—
649	C₂²⋊C₄×C₁₇	—	2	1	no	—
650	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
660	C₄²×C₁₇	—	2	1	no	—
661	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
662	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
663	C₂²⋊Dic₁₇	—	2	1	no	—
664	C₂²⋊Dic₁₇	—	2	1	no	—
665	C₂²⋊Dic₁₇	—	2	1	no	—
666	C₂²⋊Dic₁₇	—	2	1	no	—
667	C₂²⋊Dic₁₇	—	2	1	no	—
668	#63231	—	4	1	no	—
669	#63231	—	4	1	no	—
670	#63231	—	4	1	no	—
671	#63230	—	4	1	no	—
672	#63230	—	4	1	no	—
673	#63230	—	4	1	no	—
674	#63230	—	4	1	no	—
675	#63230	—	4	1	no	—
676	#63230	—	4	1	no	—
677	#63230	—	4	1	no	—
678	#63230	—	4	1	no	—
679	#63230	—	4	1	no	—
680	#63229	—	2	2	no	—
681	#63229	—	2	2	no	—
682	#63229	—	4	1	no	—
683	#63228	—	2	2	no	—
684	#63228	—	2	2	no	—
685	#63228	—	2	2	no	—
686	#63228	—	2	2	no	—
687	#63228	—	2	2	no	—
688	#63228	—	2	2	no	—
689	#63228	—	4	1	no	—
690	#63228	—	4	1	no	—
691	#63228	—	4	1	no	—
692	#63227	—	2	1	no	—
693	#63227	—	2	1	no	—
694	#63227	—	2	1	no	—
695	#63227	—	2	1	no	—
696	#63227	—	2	1	no	—
697	#63227	—	2	1	no	—
698	#63227	—	2	1	no	—
699	#63227	—	2	1	no	—
700	#63227	—	2	1	no	—
701	#63227	—	2	1	no	—
702	#63227	—	2	1	no	—
703	#63227	—	2	1	no	—
704	#63227	—	2	1	no	—
705	#63227	—	2	1	no	—
706	C₄⋊Dic₁₇	—	2	1	no	—
707	C₄⋊Dic₁₇	—	2	1	no	—
708	C₄⋊Dic₁₇	—	2	1	no	—
709	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
710	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
711	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
713	#63225	—	2	1	no	—
714	#63225	—	2	1	no	—
715	#63225	—	2	1	no	—
716	#63225	—	2	1	no	—
717	#63225	—	2	1	no	—
718	#63225	—	2	1	no	—
719	C₄×Dic₁₇	—	2	1	no	—
720	C₄×Dic₁₇	—	2	1	no	—
721	C₄×Dic₁₇	—	2	1	no	—
722	#63223	—	4	1	no	—
723	#63223	—	4	1	no	—
724	#63223	—	4	1	no	—
725	#63223	—	4	1	no	—
726	C₂×#3622	—	4	1	no	—
727	C₂×#3622	—	4	1	no	—
728	C₂×#3622	—	4	1	no	—
729	C₂×#3622	—	4	1	no	—
730	C₂×#3622	C₂⁴	1	1	yes	characteristic
731	C₂×#3622	C₂⁴	1	1	yes	characteristic
732	C₂×#3622	C₂⁴	1	1	yes	characteristic
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	#61614	—	17	1	no	maximal, Sylow
739	C₂³×C₁₇	—	2	4	no	—
740	C₂³×C₁₇	—	2	1	no	—
741	C₂³×C₁₇	—	2	1	no	—
742	C₂³×C₁₇	—	2	1	no	—
743	C₂³×C₁₇	—	4	1	no	—
744	C₂³×C₁₇	—	4	1	no	—
745	C₂³×C₁₇	—	4	1	no	—
746	C₂³×C₁₇	—	4	2	no	—
747	C₂³×C₁₇	—	4	2	no	—
748	C₂³×C₁₇	—	8	1	no	—
749	C₂³×C₁₇	—	8	1	no	—
750	C₂³×C₁₇	—	8	1	no	—
751	C₂³×C₁₇	—	8	1	no	—
752	C₂³×C₁₇	—	8	1	no	—
753	C₂³×C₁₇	—	8	1	no	—
754	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
756	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
757	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
758	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
759	C₂²×D₁₇	—	2	1	no	—
760	C₂²×D₁₇	—	2	1	no	—
761	C₂²×D₁₇	—	2	1	no	—
762	C₂²×D₁₇	—	4	2	no	—
763	C₂²×D₁₇	—	8	1	no	—
764	C₂²×D₁₇	—	8	1	no	—
765	C₂²×D₁₇	—	8	1	no	—
766	C₂²×D₁₇	—	8	1	no	—
767	C₂²×D₁₇	—	8	1	no	—
768	Q₈×C₁₇	—	2	1	no	—
769	Q₈×C₁₇	—	2	1	no	—
770	Q₈×C₁₇	—	2	1	no	—
771	Q₈×C₁₇	—	2	1	no	—
772	Q₈×C₁₇	—	2	1	no	—
773	Q₈×C₁₇	—	2	1	no	—
774	Q₈×C₁₇	—	4	1	no	—
775	Q₈×C₁₇	—	4	2	no	—
776	D₄×C₁₇	—	2	4	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	—	4	1	no	—
782	D₄×C₁₇	—	4	1	no	—
783	D₄×C₁₇	—	4	1	no	—
784	D₄×C₁₇	—	4	1	no	—
785	D₄×C₁₇	—	4	1	no	—
786	D₄×C₁₇	—	4	1	no	—
787	D₄×C₁₇	—	4	1	no	—
788	D₄×C₁₇	—	4	2	no	—
789	D₄×C₁₇	—	4	2	no	—
790	D₄×C₁₇	—	4	2	no	—
791	D₄×C₁₇	—	4	2	no	—
792	D₄×C₁₇	—	4	2	no	—
793	D₄×C₁₇	—	4	2	no	—
794	D₄×C₁₇	—	4	2	no	—
795	D₄×C₁₇	—	4	2	no	—
796	D₄×C₁₇	—	4	2	no	—
797	D₄×C₁₇	—	8	1	no	—
798	D₄×C₁₇	—	8	1	no	—
799	D₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
800	D₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
815	C₂×C₄×C₁₇	—	2	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	2	no	—
820	C₂×C₄×C₁₇	—	4	2	no	—
821	C₂×C₄×C₁₇	—	4	2	no	—
822	C₂×C₄×C₁₇	—	4	2	no	—
823	C₂×C₄×C₁₇	—	4	2	no	—
824	C₂×C₄×C₁₇	—	4	2	no	—
825	C₂×C₄×C₁₇	—	4	2	no	—
826	C₂×C₄×C₁₇	—	4	2	no	—
827	C₂×C₄×C₁₇	—	8	1	no	—
828	C₂×C₄×C₁₇	—	8	1	no	—
829	C₂×C₄×C₁₇	—	8	1	no	—
830	C₂×C₄×C₁₇	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
841	C₂²⋊D₁₇	—	4	2	no	—
842	C₂²⋊D₁₇	—	8	1	no	—
843	C₂²⋊D₁₇	—	8	1	no	—
844	C₂²⋊D₁₇	—	8	1	no	—
845	C₂²⋊D₁₇	—	8	1	no	—
846	C₂²⋊D₁₇	—	8	1	no	—
847	C₂²⋊D₁₇	—	8	1	no	—
848	C₂²⋊D₁₇	—	8	1	no	—
849	C₂²⋊D₁₇	—	8	1	no	—
850	C₂²⋊D₁₇	—	8	1	no	—
851	C₂²⋊D₁₇	—	8	1	no	—
852	C₂×Dic₁₇	—	2	1	no	—
853	C₂×Dic₁₇	—	2	1	no	—
854	C₂×Dic₁₇	—	2	1	no	—
855	C₂×Dic₁₇	—	2	1	no	—
856	C₂×Dic₁₇	—	2	1	no	—
857	C₂×Dic₁₇	—	4	2	no	—
858	C₂×Dic₁₇	—	8	1	no	—
859	D₆₈	—	2	1	no	—
860	D₆₈	—	2	1	no	—
861	D₆₈	—	2	1	no	—
862	D₆₈	—	2	1	no	—
863	D₆₈	—	2	1	no	—
864	D₆₈	—	2	1	no	—
865	D₆₈	—	8	1	no	—
866	D₆₈	—	8	1	no	—
867	D₆₈	—	8	1	no	—
868	D₆₈	—	8	1	no	—
869	C₄×D₁₇	—	8	1	no	—
870	C₄×D₁₇	—	8	1	no	—
871	C₄×D₁₇	—	8	1	no	—
872	C₄×D₁₇	—	8	1	no	—
873	C₄×D₁₇	—	8	1	no	—
874	Dic₃₄	—	2	1	no	—
875	Dic₃₄	—	2	1	no	—
876	Dic₃₄	—	8	1	no	—
877	#3622	—	2	1	no	—
878	#3622	—	2	1	no	—
879	#3622	—	2	1	no	—
880	#3622	—	2	1	no	—
881	#3622	—	2	1	no	—
882	#3622	—	2	1	no	—
883	#3622	—	2	1	no	—
884	#3622	—	2	1	no	—
885	#3542	—	17	1	no	—
886	#3485	D₁₇	1	1	yes	characteristic, complemented
887	#3330	—	17	1	no	—
888	#3323	—	17	1	no	—
889	#3319	—	17	1	no	—
890	#3315	—	17	1	no	—
891	#3307	—	17	1	no	—
892	#3306	—	17	1	no	—
893	#3303	—	17	1	no	—
894	#3297	—	17	1	no	—
895	#3284	—	17	1	no	—
896	#3280	—	17	1	no	—
897	#3273	—	17	1	no	—
898	#3272	—	17	1	no	—
899	#3268	—	17	1	no	—
900	#3267	—	17	1	no	—
901	#3267	—	17	1	no	—
902	#3264	—	17	1	no	—
903	#3225	—	17	1	no	—
904	#3221	—	17	1	no	—
905	#3201	—	17	1	no	—
906	#3200	—	17	1	no	—
907	#3197	—	17	1	no	—
908	#3188	—	17	1	no	—
909	#3122	—	17	1	no	—
910	#3118	—	17	1	no	—
911	#3012	—	17	1	no	—
912	#3008	—	17	1	no	—
913	#3006	—	17	1	no	—
914	#3002	—	17	1	no	—
915	#2976	—	17	1	no	—
916	C₂²×C₁₇	—	2	1	no	—
917	C₂²×C₁₇	—	2	1	no	—
918	C₂²×C₁₇	—	2	1	no	—
919	C₂²×C₁₇	—	2	1	no	—
920	C₂²×C₁₇	—	2	1	no	—
921	C₂²×C₁₇	—	2	1	no	—
922	C₂²×C₁₇	—	2	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	2	no	—
932	C₂²×C₁₇	—	2	2	no	—
933	C₂²×C₁₇	—	4	1	no	—
934	C₂²×C₁₇	—	4	1	no	—
935	C₂²×C₁₇	—	4	1	no	—
936	C₂²×C₁₇	—	4	1	no	—
937	C₂²×C₁₇	—	4	1	no	—
938	C₂²×C₁₇	—	4	1	no	—
939	C₂²×C₁₇	—	4	1	no	—
940	C₂²×C₁₇	—	8	4	no	—
941	C₂²×C₁₇	—	8	2	no	—
942	C₂²×C₁₇	—	16	2	no	—
943	C₂²×C₁₇	—	16	2	no	—
944	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
945	C₂×D₁₇	—	4	1	no	—
946	C₂×D₁₇	—	4	1	no	—
947	C₂×D₁₇	—	4	1	no	—
948	C₂×D₁₇	—	4	1	no	—
949	C₂×D₁₇	—	4	1	no	—
950	C₂×D₁₇	—	4	1	no	—
951	C₂×D₁₇	—	4	1	no	—
952	C₂×D₁₇	—	4	1	no	—
953	C₂×D₁₇	—	4	1	no	—
954	C₂×D₁₇	—	16	2	no	—
955	C₂×D₁₇	—	16	2	no	—
956	C₄×C₁₇	—	2	1	no	—
957	C₄×C₁₇	—	2	1	no	—
958	C₄×C₁₇	—	2	1	no	—
959	C₄×C₁₇	—	2	1	no	—
960	C₄×C₁₇	—	2	1	no	—
961	C₄×C₁₇	—	2	1	no	—
962	C₄×C₁₇	—	2	1	no	—
963	C₄×C₁₇	—	2	1	no	—
964	C₄×C₁₇	—	2	1	no	—
965	C₄×C₁₇	—	4	1	no	—
966	C₄×C₁₇	—	4	1	no	—
967	C₄×C₁₇	—	4	1	no	—
968	C₄×C₁₇	—	4	1	no	—
969	C₄×C₁₇	—	4	1	no	—
970	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
971	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
972	Dic₁₇	—	4	1	no	—
973	Dic₁₇	—	4	1	no	—
974	Dic₁₇	—	4	1	no	—
975	Dic₁₇	—	4	1	no	—
976	Dic₁₇	—	4	1	no	—
977	C₂×H(5,𝔽₂)	C₂×D₁₇	1	1	yes	characteristic, complemented
978	C₂²×#41	C₂×D₁₇	1	1	yes	characteristic, complemented
979	C₂×AGL(1,ℤ/8)	—	17	1	no	—
980	C₂×AGL(1,ℤ/8)	—	17	1	no	—
981	C₂×AGL(1,ℤ/8)	—	17	1	no	—
982	C₂×AGL(1,ℤ/8)	—	17	1	no	—
983	C₂×#135	—	17	1	no	—
984	C₂×#135	—	17	1	no	—
985	C₂×#135	—	17	1	no	—
986	C₂²×D₈	—	17	1	no	—
987	#562	—	34	1	no	—
988	#560	—	34	1	no	—
989	#555	—	17	1	no	—
990	#553	—	17	1	no	—
991	#552	—	17	1	no	—
992	#551	—	34	1	no	—
993	#550	—	17	1	no	—
994	#547	—	2	1	no	—
995	#547	—	2	1	no	—
996	#547	—	17	1	no	—
997	#547	C₂×D₁₇	1	1	yes	characteristic
998	#547	C₂×D₁₇	1	1	yes	characteristic, complemented
999	#547	C₂×D₁₇	1	1	yes	characteristic, complemented
1000	#547	C₂×D₁₇	1	1	yes	characteristic, complemented
1001	#546	—	2	1	no	—
1002	#546	—	2	1	no	—
1003	#546	—	17	1	no	—
1004	#546	—	17	1	no	—
1005	#546	—	34	1	no	—
1006	#546	C₂×D₁₇	1	1	yes	characteristic
1007	#546	C₂×D₁₇	1	1	yes	characteristic, complemented
1008	#546	C₂×D₁₇	1	1	yes	characteristic, complemented
1009	#546	C₂×D₁₇	1	1	yes	characteristic, complemented
1010	D₄²	—	17	1	no	—
1011	#542	—	17	1	no	—
1012	#540	—	17	1	no	—
1013	#540	—	34	1	no	—
1014	#538	—	34	1	no	—
1015	#537	—	17	1	no	—
1016	#536	C₂×D₁₇	1	1	yes	characteristic, complemented
1017	#536	C₂×D₁₇	1	1	yes	characteristic, complemented
1018	#535	—	17	1	no	—
1019	#535	—	34	1	no	—
1020	#534	—	2	1	no	—
1021	#534	—	2	1	no	—
1022	#534	—	34	1	no	—
1023	#525	—	17	1	no	—
1024	#525	C₂×D₁₇	1	1	yes	characteristic
1025	#525	C₂×D₁₇	1	1	yes	characteristic, complemented
1026	C₂×#123	—	2	1	no	—
1027	C₂×#123	—	2	1	no	—
1028	C₂×#121	—	17	1	no	—
1029	#518	C₂×D₁₇	1	1	yes	characteristic, complemented
1030	#497	—	17	1	no	—
1031	#496	—	17	1	no	—
1032	#495	—	17	1	no	—
1033	#492	—	17	1	no	—
1034	#491	—	17	1	no	—
1035	#489	—	17	1	no	—
1036	#488	—	17	1	no	—
1037	#487	—	17	1	no	—
1038	#485	—	17	1	no	—
1039	#485	—	17	1	no	—
1040	#485	—	17	1	no	—
1041	#485	—	17	1	no	—
1042	#484	—	17	1	no	—
1043	#484	—	17	1	no	—
1044	#483	—	17	1	no	—
1045	#482	—	17	1	no	—
1046	#482	—	17	1	no	—
1047	#482	—	17	1	no	—
1048	#482	—	17	1	no	—
1049	#481	—	17	1	no	—
1050	#478	—	17	1	no	—
1051	#478	—	17	1	no	—
1052	#476	—	17	1	no	—
1053	#474	—	17	1	no	—
1054	#470	—	17	1	no	—
1055	#470	—	17	1	no	—
1056	#469	—	17	1	no	—
1057	#468	—	17	1	no	—
1058	#468	—	17	1	no	—
1059	#468	—	17	1	no	—
1060	#468	—	17	1	no	—
1061	#468	—	17	1	no	—
1062	#467	—	17	1	no	—
1063	#466	—	17	1	no	—
1064	#466	—	17	1	no	—
1065	#465	—	17	1	no	—
1066	#465	—	17	1	no	—
1067	#465	—	17	1	no	—
1068	#465	—	17	1	no	—
1069	#465	—	17	1	no	—
1070	#464	—	17	1	no	—
1071	#463	—	17	1	no	—
1072	#463	—	17	1	no	—
1073	#463	—	17	1	no	—
1074	#463	—	17	1	no	—
1075	#463	—	17	1	no	—
1076	#462	—	17	1	no	—
1077	#461	—	17	1	no	—
1078	#461	—	17	1	no	—
1079	#461	—	17	1	no	—
1080	#459	—	17	1	no	—
1081	#459	—	17	1	no	—
1082	#452	—	17	1	no	—
1083	#452	—	17	1	no	—
1084	#452	—	17	1	no	—
1085	#452	—	17	1	no	—
1086	#452	—	17	1	no	—
1087	#452	—	17	1	no	—
1088	#452	—	17	1	no	—
1089	#451	—	17	1	no	—
1090	#450	—	17	1	no	—
1091	#450	—	17	1	no	—
1092	#450	—	17	1	no	—
1093	#450	—	17	1	no	—
1094	#450	—	17	1	no	—
1095	#449	—	17	1	no	—
1096	#449	—	17	1	no	—
1097	#449	—	17	1	no	—
1098	#449	—	17	1	no	—
1099	#449	—	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	#448	—	17	1	no	—
1109	#448	—	17	1	no	—
1110	#448	—	17	1	no	—
1111	#447	—	17	1	no	—
1112	#447	—	17	1	no	—
1113	#447	—	17	1	no	—
1114	#447	—	17	1	no	—
1115	#447	—	17	1	no	—
1116	#447	—	17	1	no	—
1117	#447	—	17	1	no	—
1118	#442	—	17	1	no	—
1119	#442	—	17	1	no	—
1120	#442	—	17	1	no	—
1121	#440	—	17	1	no	—
1122	C₄×SD₁₆	—	17	1	no	—
1123	C₄×D₈	—	17	1	no	—
1124	C₄×D₈	—	17	1	no	—
1125	C₄×D₈	—	17	1	no	—
1126	#436	—	17	1	no	—
1127	#436	—	17	1	no	—
1128	#435	—	17	1	no	—
1129	#435	—	17	1	no	—
1130	#435	—	17	1	no	—
1131	#435	—	17	1	no	—
1132	C₈×D₄	—	17	1	no	—
1133	C₈×D₄	—	17	1	no	—
1134	#433	—	17	1	no	—
1135	#433	—	17	1	no	—
1136	#418	—	17	1	no	—
1137	#417	—	17	1	no	—
1138	#417	—	17	1	no	—
1139	#417	—	17	1	no	—
1140	#416	—	17	1	no	—
1141	#416	—	17	1	no	—
1142	#416	—	17	1	no	—
1143	C₂×#102	—	17	1	no	—
1144	#408	—	17	1	no	—
1145	#408	—	17	1	no	—
1146	#407	—	17	1	no	—
1147	C₂×C₂²⋊C₈	—	17	1	no	—
1148	C₂×C₁₇	—	4	1	no	—
1149	C₂×C₁₇	—	4	1	no	—
1150	C₂×C₁₇	—	4	1	no	—
1151	C₂×C₁₇	—	4	1	no	—
1152	C₂×C₁₇	—	4	1	no	—
1153	C₂×C₁₇	—	4	2	no	—
1154	C₂×C₁₇	—	4	2	no	—
1155	C₂×C₁₇	—	8	1	no	—
1156	C₂×C₁₇	#3484	1	1	yes	characteristic
1157	C₂×C₁₇	#3584	1	1	yes	characteristic
1158	C₂×C₁₇	#3585	1	1	yes	characteristic
1159	D₁₇	—	8	1	no	—
1160	D₁₇	—	8	1	no	—
1161	D₁₇	—	8	1	no	—
1162	H(5,𝔽₂)	—	4	2	no	—
1163	H(5,𝔽₂)	—	4	2	no	—
1164	C₂×#41	—	2	1	no	—
1165	C₂×#41	—	2	1	no	—
1166	C₂×#41	—	2	1	no	—
1167	C₂×#41	—	4	2	no	—
1168	C₂×#41	—	4	2	no	—
1169	C₂×#41	—	17	1	no	—
1170	C₂×#41	—	17	1	no	—
1171	C₂×#41	—	34	1	no	—
1172	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1173	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1174	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1175	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1176	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1177	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1178	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1179	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1180	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1181	C₂²×D₄	—	2	1	no	—
1182	C₂²×D₄	—	2	1	no	—
1183	C₂²×D₄	—	2	1	no	—
1184	C₂²×D₄	—	2	1	no	—
1185	C₂²×D₄	—	17	1	no	—
1186	C₂²×D₄	—	17	1	no	—
1187	C₂²×D₄	—	34	1	no	—
1188	C₂²×D₄	—	34	1	no	—
1189	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1190	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1191	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1192	C₂³×C₄	—	2	1	no	—
1193	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
1194	AGL(1,ℤ/8)	—	68	2	no	—
1195	AGL(1,ℤ/8)	—	68	2	no	—
1196	AGL(1,ℤ/8)	—	68	2	no	—
1197	AGL(1,ℤ/8)	—	68	2	no	—
1198	#135	—	68	2	no	—
1199	#135	—	68	2	no	—
1200	#135	—	68	2	no	—
1201	C₂×Q₁₆	—	17	1	no	—
1202	C₂×Q₁₆	—	17	1	no	—
1203	C₂×Q₁₆	—	17	1	no	—
1204	C₂×SD₁₆	—	17	1	no	—
1205	C₂×SD₁₆	—	17	1	no	—
1206	C₂×SD₁₆	—	17	1	no	—
1207	C₂×SD₁₆	—	17	1	no	—
1208	C₂×SD₁₆	—	17	1	no	—
1209	C₂×SD₁₆	—	17	1	no	—
1210	C₂×SD₁₆	—	17	1	no	—
1211	C₂×SD₁₆	—	17	1	no	—
1212	C₂×SD₁₆	—	17	1	no	—
1213	C₂×SD₁₆	—	17	1	no	—
1214	C₂×SD₁₆	—	17	1	no	—
1215	C₂×SD₁₆	—	17	1	no	—
1216	C₂×D₈	—	17	1	no	—
1217	C₂×D₈	—	17	1	no	—
1218	C₂×D₈	—	17	1	no	—
1219	C₂×D₈	—	17	1	no	—
1220	C₂×D₈	—	17	1	no	—
1221	C₂×D₈	—	17	1	no	—
1222	C₂×D₈	—	17	1	no	—
1223	C₂×D₈	—	17	1	no	—
1224	C₂×D₈	—	17	1	no	—
1225	C₂×D₈	—	68	2	no	—
1226	C₂×M₁₆	—	17	1	no	—
1227	C₂×M₁₆	—	17	1	no	—
1228	C₂×M₁₆	—	17	1	no	—
1229	C₂×M₁₆	—	17	1	no	—
1230	C₂²×C₈	—	17	1	no	—
1231	C₂²×C₈	—	17	1	no	—
1232	C₂²×C₈	—	17	1	no	—
1233	C₂²×C₈	—	17	1	no	—
1234	C₄⋊Q₈	—	2	1	no	—
1235	C₄⋊Q₈	—	17	1	no	—
1236	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1237	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1238	#127	—	17	1	no	—
1239	#127	—	34	1	no	—
1240	#127	—	34	1	no	—
1241	#126	—	34	1	no	—
1242	#126	—	34	1	no	—
1243	#126	—	34	1	no	—
1244	#125	—	17	1	no	—
1245	#125	—	34	1	no	—
1246	#124	—	2	1	no	—
1247	#124	—	17	1	no	—
1248	#124	—	34	1	no	—
1249	#124	—	34	1	no	—
1250	#124	—	34	1	no	—
1251	#124	—	34	1	no	—
1252	#124	C₂²×D₁₇	1	1	yes	characteristic
1253	#124	C₂²×D₁₇	1	1	yes	characteristic
1254	#123	—	2	1	no	—
1255	#123	—	2	1	no	—
1256	#123	—	2	1	no	—
1257	#123	—	2	1	no	—
1258	#123	—	2	1	no	—
1259	#123	—	2	1	no	—
1260	#123	—	2	1	no	—
1261	#123	—	2	1	no	—
1262	#123	—	2	1	no	—
1263	#123	—	2	1	no	—
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	#123	—	34	1	no	—
1278	#123	—	34	1	no	—
1279	#123	—	34	1	no	—
1280	#123	—	34	1	no	—
1281	#123	C₂²⋊D₁₇	1	1	yes	characteristic
1282	#123	C₂²⋊D₁₇	1	1	yes	characteristic
1283	C₂²⋊Q₈	—	2	1	no	—
1284	C₂²⋊Q₈	—	2	1	no	—
1285	C₂²⋊Q₈	—	17	1	no	—
1286	C₂²⋊Q₈	—	17	1	no	—
1287	C₂²⋊Q₈	—	17	1	no	—
1288	C₂²⋊Q₈	—	34	1	no	—
1289	C₂²⋊Q₈	—	34	1	no	—
1290	C₂²⋊Q₈	—	34	1	no	—
1291	C₂²⋊Q₈	C₂²⋊D₁₇	1	1	yes	characteristic
1292	C₂²⋊Q₈	C₂²⋊D₁₇	1	1	yes	characteristic
1293	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1294	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1295	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1296	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1297	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1298	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1299	#121	—	2	1	no	—
1300	#121	—	2	1	no	—
1301	#121	—	2	1	no	—
1302	#121	—	2	1	no	—
1303	#121	—	2	1	no	—
1304	#121	—	2	1	no	—
1305	#121	—	2	1	no	—
1306	#121	—	2	1	no	—
1307	#121	—	17	1	no	—
1308	#121	—	17	1	no	—
1309	#121	—	17	1	no	—
1310	#121	—	17	1	no	—
1311	#121	—	17	1	no	—
1312	#121	—	17	1	no	—
1313	#121	—	17	1	no	—
1314	#121	—	17	1	no	—
1315	#121	—	17	1	no	—
1316	#121	—	34	1	no	—
1317	#121	—	34	1	no	—
1318	#121	—	34	1	no	—
1319	#121	—	34	1	no	—
1320	#121	—	34	1	no	—
1321	#121	—	34	1	no	—
1322	#121	—	34	1	no	—
1323	#121	—	34	1	no	—
1324	#121	—	34	1	no	—
1325	#121	—	34	1	no	—
1326	#121	—	34	1	no	—
1327	#121	—	34	1	no	—
1328	#121	—	34	1	no	—
1329	#121	—	34	1	no	—
1330	#121	C₂²⋊D₁₇	1	1	yes	characteristic
1331	#121	C₂²⋊D₁₇	1	1	yes	characteristic
1332	#121	C₂²×D₁₇	1	1	yes	characteristic
1333	#121	C₂²×D₁₇	1	1	yes	characteristic
1334	#120	—	2	1	no	—
1335	#120	—	2	1	no	—
1336	#120	—	2	1	no	—
1337	#120	—	2	1	no	—
1338	#120	—	2	1	no	—
1339	#120	—	34	1	no	—
1340	#120	—	34	1	no	—
1341	#120	—	34	1	no	—
1342	#120	—	34	1	no	—
1343	#120	—	34	1	no	—
1344	#120	—	34	1	no	—
1345	#120	—	34	1	no	—
1346	#120	C₂²⋊D₁₇	1	1	yes	characteristic
1347	#120	C₂²⋊D₁₇	1	1	yes	characteristic
1348	C₄×Q₈	—	17	1	no	—
1349	C₄×D₄	—	2	1	no	—
1350	C₄×D₄	—	2	1	no	—
1351	C₄×D₄	—	2	1	no	—
1352	C₄×D₄	—	2	1	no	—
1353	C₄×D₄	—	17	1	no	—
1354	C₄×D₄	—	17	1	no	—
1355	C₄×D₄	—	17	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	C₂²×D₁₇	1	1	yes	characteristic
1361	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1362	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1363	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1364	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
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	#117	—	17	1	no	—
1369	#117	—	17	1	no	—
1370	#117	—	34	1	no	—
1371	#117	—	34	1	no	—
1372	#117	C₂²×D₁₇	1	1	yes	characteristic
1373	#117	C₂²×D₁₇	1	1	yes	characteristic
1374	C₂×C₄⋊C₄	—	2	1	no	—
1375	C₂×C₄⋊C₄	—	2	1	no	—
1376	C₂×C₄⋊C₄	—	2	1	no	—
1377	C₂×C₄⋊C₄	—	2	1	no	—
1378	C₂×C₄⋊C₄	—	17	1	no	—
1379	C₂×C₄⋊C₄	—	17	1	no	—
1380	C₂×C₂²⋊C₄	—	2	1	no	—
1381	C₂×C₂²⋊C₄	—	2	1	no	—
1382	C₂×C₂²⋊C₄	—	2	1	no	—
1383	C₂×C₂²⋊C₄	—	2	1	no	—
1384	C₂×C₂²⋊C₄	—	2	1	no	—
1385	C₂×C₂²⋊C₄	—	2	1	no	—
1386	C₂×C₂²⋊C₄	—	34	1	no	—
1387	C₂×C₂²⋊C₄	—	34	1	no	—
1388	C₂×C₂²⋊C₄	—	34	1	no	—
1389	#107	—	17	1	no	—
1390	#107	—	17	1	no	—
1391	#107	—	17	1	no	—
1392	#107	—	17	1	no	—
1393	#106	—	17	1	no	—
1394	#106	—	17	1	no	—
1395	#106	—	17	1	no	—
1396	#106	—	17	1	no	—
1397	C₄⋊C₈	—	17	1	no	—
1398	C₄⋊C₈	—	17	1	no	—
1399	C₄⋊C₈	—	17	1	no	—
1400	C₄⋊C₈	—	17	1	no	—
1401	#103	—	17	1	no	—
1402	#103	—	17	1	no	—
1403	#103	—	17	1	no	—
1404	#103	—	17	1	no	—
1405	#103	—	17	1	no	—
1406	#103	—	17	1	no	—
1407	#103	—	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	#102	—	17	1	no	—
1416	#102	—	17	1	no	—
1417	#102	—	17	1	no	—
1418	#102	—	17	1	no	—
1419	#102	—	17	1	no	—
1420	#102	—	17	1	no	—
1421	#102	—	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	C₂²⋊C₈	—	17	1	no	—
1434	C₂²⋊C₈	—	17	1	no	—
1435	C₂²⋊C₈	—	17	1	no	—
1436	C₂²⋊C₈	—	17	1	no	—
1437	C₂²⋊C₈	—	17	1	no	—
1438	C₂²⋊C₈	—	17	1	no	—
1439	C₂²⋊C₈	—	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	#97	—	17	1	no	—
1446	#97	—	17	1	no	—
1447	C₄×C₈	—	17	1	no	—
1448	C₄×C₈	—	17	1	no	—
1449	C₁₇	#61614	1	1	yes	characteristic, complemented, Sylow
1450	C₂⁴	—	2	1	no	—
1451	C₂⁴	—	2	1	no	—
1452	C₂⁴	—	2	1	no	—
1453	C₂⁴	—	34	1	no	—
1454	C₂⁴	—	34	1	no	—
1455	C₂⁴	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1456	#41	—	2	2	no	—
1457	#41	—	2	2	no	—
1458	#41	—	2	2	no	—
1459	#41	—	2	2	no	—
1460	#41	—	2	2	no	—
1461	#41	—	2	2	no	—
1462	#41	—	4	1	no	—
1463	#41	—	4	1	no	—
1464	#41	—	4	1	no	—
1465	#41	—	4	1	no	—
1466	#41	—	4	1	no	—
1467	#41	—	4	1	no	—
1468	#41	—	4	1	no	—
1469	#41	—	4	1	no	—
1470	#41	—	4	1	no	—
1471	#41	—	4	1	no	—
1472	#41	—	4	4	no	—
1473	#41	—	4	4	no	—
1474	#41	—	4	4	no	—
1475	#41	—	68	1	no	—
1476	#41	—	68	1	no	—
1477	#41	—	68	1	no	—
1478	#41	—	68	1	no	—
1479	#41	—	136	2	no	—
1480	C₂×Q₈	—	2	1	no	—
1481	C₂×Q₈	—	4	1	no	—
1482	C₂×Q₈	—	4	1	no	—
1483	C₂×Q₈	—	17	1	no	—
1484	C₂×Q₈	—	34	1	no	—
1485	C₂×Q₈	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1486	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1487	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1488	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1489	C₂×D₄	—	2	2	no	—
1490	C₂×D₄	—	2	2	no	—
1491	C₂×D₄	—	2	2	no	—
1492	C₂×D₄	—	2	2	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
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	—	4	1	no	—
1506	C₂×D₄	—	4	1	no	—
1507	C₂×D₄	—	4	4	no	—
1508	C₂×D₄	—	4	4	no	—
1509	C₂×D₄	—	4	4	no	—
1510	C₂×D₄	—	4	4	no	—
1511	C₂×D₄	—	17	1	no	—
1512	C₂×D₄	—	17	1	no	—
1513	C₂×D₄	—	17	1	no	—
1514	C₂×D₄	—	34	1	no	—
1515	C₂×D₄	—	34	1	no	—
1516	C₂×D₄	—	34	1	no	—
1517	C₂×D₄	—	34	1	no	—
1518	C₂×D₄	—	34	1	no	—
1519	C₂×D₄	—	34	1	no	—
1520	C₂×D₄	—	34	1	no	—
1521	C₂×D₄	—	34	1	no	—
1522	C₂×D₄	—	34	1	no	—
1523	C₂×D₄	—	34	1	no	—
1524	C₂×D₄	—	34	1	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	—	68	1	no	—
1530	C₂×D₄	—	68	1	no	—
1531	C₂×D₄	—	68	1	no	—
1532	C₂×D₄	—	68	1	no	—
1533	C₂×D₄	—	136	2	no	—
1534	C₂×D₄	—	136	2	no	—
1535	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1536	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1537	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1538	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1539	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1540	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1541	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1542	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1543	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1544	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1545	C₂²×C₄	—	2	1	no	—
1546	C₂²×C₄	—	2	1	no	—
1547	C₂²×C₄	—	2	1	no	—
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	2	1	no	—
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	—	4	1	no	—
1558	C₂²×C₄	—	4	1	no	—
1559	C₂²×C₄	—	4	4	no	—
1560	C₂²×C₄	—	34	1	no	—
1561	C₂²×C₄	—	34	1	no	—
1562	C₂²×C₄	—	34	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	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1568	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1569	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1570	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1574	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1575	Q₁₆	—	68	1	no	—
1576	Q₁₆	—	68	1	no	—
1577	Q₁₆	—	68	1	no	—
1578	SD₁₆	—	34	2	no	—
1579	SD₁₆	—	34	2	no	—
1580	SD₁₆	—	68	1	no	—
1581	SD₁₆	—	68	1	no	—
1582	SD₁₆	—	68	1	no	—
1583	SD₁₆	—	68	1	no	—
1584	SD₁₆	—	68	1	no	—
1585	SD₁₆	—	68	1	no	—
1586	SD₁₆	—	68	1	no	—
1587	SD₁₆	—	68	1	no	—
1588	SD₁₆	—	68	1	no	—
1589	SD₁₆	—	68	1	no	—
1590	D₈	—	34	2	no	—
1591	D₈	—	34	2	no	—
1592	D₈	—	34	2	no	—
1593	D₈	—	34	2	no	—
1594	D₈	—	34	2	no	—
1595	D₈	—	34	2	no	—
1596	D₈	—	68	1	no	—
1597	D₈	—	68	1	no	—
1598	D₈	—	68	1	no	—
1599	M₁₆	—	68	1	no	—
1600	M₁₆	—	68	1	no	—
1601	M₁₆	—	68	1	no	—
1602	M₁₆	—	68	1	no	—
1603	C₂×C₈	—	17	1	no	—
1604	C₂×C₈	—	17	1	no	—
1605	C₂×C₈	—	17	1	no	—
1606	C₂×C₈	—	17	1	no	—
1607	C₂×C₈	—	17	1	no	—
1608	C₂×C₈	—	17	1	no	—
1609	C₂×C₈	—	17	1	no	—
1610	C₂×C₈	—	17	1	no	—
1611	C₂×C₈	—	68	1	no	—
1612	C₂×C₈	—	68	1	no	—
1613	C₂×C₈	—	68	1	no	—
1614	C₂×C₈	—	68	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	2	1	no	—
1620	C₄⋊C₄	—	2	1	no	—
1621	C₄⋊C₄	—	2	1	no	—
1622	C₄⋊C₄	—	2	1	no	—
1623	C₄⋊C₄	—	2	1	no	—
1624	C₄⋊C₄	—	2	1	no	—
1625	C₄⋊C₄	—	17	1	no	—
1626	C₄⋊C₄	—	17	1	no	—
1627	C₄⋊C₄	—	17	1	no	—
1628	C₄⋊C₄	—	17	1	no	—
1629	C₄⋊C₄	—	34	1	no	—
1630	C₄⋊C₄	—	34	1	no	—
1631	C₄⋊C₄	—	34	1	no	—
1632	C₄⋊C₄	—	34	1	no	—
1633	C₄⋊C₄	—	34	1	no	—
1634	C₄⋊C₄	—	34	1	no	—
1635	C₄⋊C₄	—	34	1	no	—
1636	C₄⋊C₄	—	34	1	no	—
1637	C₄⋊C₄	—	34	1	no	—
1638	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1639	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1640	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1641	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1642	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1643	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1644	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1645	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
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	—	34	1	no	—
1664	C₂²⋊C₄	—	34	1	no	—
1665	C₂²⋊C₄	—	34	1	no	—
1666	C₂²⋊C₄	—	34	1	no	—
1667	C₂²⋊C₄	—	34	1	no	—
1668	C₂²⋊C₄	—	34	1	no	—
1669	C₂²⋊C₄	—	34	1	no	—
1670	C₂²⋊C₄	—	34	1	no	—
1671	C₂²⋊C₄	—	34	1	no	—
1672	C₂²⋊C₄	—	34	1	no	—
1673	C₂²⋊C₄	—	34	1	no	—
1674	C₂²⋊C₄	—	34	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	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1683	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1684	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1685	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1686	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1687	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1688	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1689	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1690	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1691	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1692	C₄²	—	2	1	no	—
1693	C₄²	—	34	1	no	—
1694	C₄²	—	34	1	no	—
1695	C₄²	—	34	1	no	—
1696	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1697	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1698	C₂³	—	2	4	no	—
1699	C₂³	—	2	1	no	—
1700	C₂³	—	2	1	no	—
1701	C₂³	—	2	1	no	—
1702	C₂³	—	4	1	no	—
1703	C₂³	—	4	1	no	—
1704	C₂³	—	4	1	no	—
1705	C₂³	—	4	2	no	—
1706	C₂³	—	4	2	no	—
1707	C₂³	—	8	1	no	—
1708	C₂³	—	8	1	no	—
1709	C₂³	—	8	1	no	—
1710	C₂³	—	8	1	no	—
1711	C₂³	—	8	1	no	—
1712	C₂³	—	8	1	no	—
1713	C₂³	—	34	1	no	—
1714	C₂³	—	34	1	no	—
1715	C₂³	—	34	1	no	—
1716	C₂³	—	68	2	no	—
1717	C₂³	—	136	1	no	—
1718	C₂³	—	136	1	no	—
1719	C₂³	—	136	1	no	—
1720	C₂³	—	136	1	no	—
1721	C₂³	—	136	1	no	—
1722	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1723	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1724	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1725	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1726	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1727	Q₈	—	2	1	no	—
1728	Q₈	—	2	1	no	—
1729	Q₈	—	2	1	no	—
1730	Q₈	—	2	1	no	—
1731	Q₈	—	2	1	no	—
1732	Q₈	—	2	1	no	—
1733	Q₈	—	4	1	no	—
1734	Q₈	—	4	2	no	—
1735	Q₈	—	34	1	no	—
1736	Q₈	—	34	1	no	—
1737	Q₈	—	136	1	no	—
1738	D₄	—	2	4	no	—
1739	D₄	—	2	1	no	—
1740	D₄	—	2	1	no	—
1741	D₄	—	2	1	no	—
1742	D₄	—	2	1	no	—
1743	D₄	—	4	1	no	—
1744	D₄	—	4	1	no	—
1745	D₄	—	4	1	no	—
1746	D₄	—	4	1	no	—
1747	D₄	—	4	1	no	—
1748	D₄	—	4	1	no	—
1749	D₄	—	4	1	no	—
1750	D₄	—	4	2	no	—
1751	D₄	—	4	2	no	—
1752	D₄	—	4	2	no	—
1753	D₄	—	4	2	no	—
1754	D₄	—	4	2	no	—
1755	D₄	—	4	2	no	—
1756	D₄	—	4	2	no	—
1757	D₄	—	4	2	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	8	1	no	—
1760	D₄	—	8	1	no	—
1761	D₄	—	34	1	no	—
1762	D₄	—	34	1	no	—
1763	D₄	—	34	1	no	—
1764	D₄	—	34	1	no	—
1765	D₄	—	34	1	no	—
1766	D₄	—	34	1	no	—
1767	D₄	—	68	2	no	—
1768	D₄	—	136	1	no	—
1769	D₄	—	136	1	no	—
1770	D₄	—	136	1	no	—
1771	D₄	—	136	1	no	—
1772	D₄	—	136	1	no	—
1773	D₄	—	136	1	no	—
1774	D₄	—	136	1	no	—
1775	D₄	—	136	1	no	—
1776	D₄	—	136	1	no	—
1777	D₄	—	136	1	no	—
1778	D₄	—	136	1	no	—
1779	D₄	—	136	1	no	—
1780	D₄	—	136	1	no	—
1781	D₄	—	136	1	no	—
1782	D₄	#10587691	1	2	yes	—
1783	D₄	#10587691	1	2	yes	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	2	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	—	4	1	no	—
1800	C₂×C₄	—	4	1	no	—
1801	C₂×C₄	—	4	1	no	—
1802	C₂×C₄	—	4	2	no	—
1803	C₂×C₄	—	4	2	no	—
1804	C₂×C₄	—	4	2	no	—
1805	C₂×C₄	—	4	2	no	—
1806	C₂×C₄	—	4	2	no	—
1807	C₂×C₄	—	4	2	no	—
1808	C₂×C₄	—	4	2	no	—
1809	C₂×C₄	—	4	2	no	—
1810	C₂×C₄	—	8	1	no	—
1811	C₂×C₄	—	8	1	no	—
1812	C₂×C₄	—	8	1	no	—
1813	C₂×C₄	—	8	1	no	—
1814	C₂×C₄	—	34	1	no	—
1815	C₂×C₄	—	34	1	no	—
1816	C₂×C₄	—	34	1	no	—
1817	C₂×C₄	—	34	1	no	—
1818	C₂×C₄	—	34	1	no	—
1819	C₂×C₄	—	68	2	no	—
1820	C₂×C₄	—	136	1	no	—
1821	C₂×C₄	—	136	1	no	—
1822	C₂×C₄	—	136	1	no	—
1823	C₂×C₄	—	136	1	no	—
1824	C₂×C₄	—	136	1	no	—
1825	C₂×C₄	—	136	1	no	—
1826	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1827	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1828	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1829	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1830	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1831	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1832	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1833	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1834	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1835	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1836	C₈	—	34	1	no	—
1837	C₈	—	34	1	no	—
1838	C₈	—	34	1	no	—
1839	C₈	—	34	1	no	—
1840	C₈	—	34	1	no	—
1841	C₈	—	34	1	no	—
1842	C₈	—	34	1	no	—
1843	C₈	—	34	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	1	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	2	2	no	—
1850	C₂²	—	2	2	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	1	no	—
1854	C₂²	—	2	1	no	—
1855	C₂²	—	2	1	no	—
1856	C₂²	—	2	1	no	—
1857	C₂²	—	2	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	2	1	no	—
1861	C₂²	—	4	1	no	—
1862	C₂²	—	4	1	no	—
1863	C₂²	—	4	1	no	—
1864	C₂²	—	4	1	no	—
1865	C₂²	—	4	1	no	—
1866	C₂²	—	4	1	no	—
1867	C₂²	—	4	1	no	—
1868	C₂²	—	8	4	no	—
1869	C₂²	—	8	2	no	—
1870	C₂²	—	16	2	no	—
1871	C₂²	—	16	2	no	—
1872	C₂²	—	272	2	no	—
1873	C₂²	—	272	2	no	—
1874	C₂²	—	68	1	no	—
1875	C₂²	—	68	1	no	—
1876	C₂²	—	68	1	no	—
1877	C₂²	—	68	1	no	—
1878	C₂²	—	68	1	no	—
1879	C₂²	—	68	1	no	—
1880	C₂²	—	68	1	no	—
1881	C₂²	—	68	1	no	—
1882	C₂²	—	68	1	no	—
1883	C₂²	C₂³×C₂²⋊D₁₇	1	1	yes	characteristic
1884	C₄	—	2	1	no	—
1885	C₄	—	2	1	no	—
1886	C₄	—	2	1	no	—
1887	C₄	—	2	1	no	—
1888	C₄	—	2	1	no	—
1889	C₄	—	2	1	no	—
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	2	1	no	—
1893	C₄	—	4	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	4	1	no	—
1896	C₄	—	4	1	no	—
1897	C₄	—	4	1	no	—
1898	C₄	—	68	1	no	—
1899	C₄	—	68	1	no	—
1900	C₄	—	68	1	no	—
1901	C₄	—	68	1	no	—
1902	C₄	—	68	1	no	—
1903	C₄	C₂×#10587691	1	1	yes	characteristic
1904	C₄	C₂×#10587691	1	1	yes	characteristic
1905	C₂	—	4	1	no	—
1906	C₂	—	4	1	no	—
1907	C₂	—	4	1	no	—
1908	C₂	—	4	1	no	—
1909	C₂	—	4	1	no	—
1910	C₂	—	4	2	no	—
1911	C₂	—	4	2	no	—
1912	C₂	—	8	1	no	—
1913	C₂	—	136	1	no	—
1914	C₂	—	136	1	no	—
1915	C₂	—	136	1	no	—
1916	C₂	#14542419	1	1	yes	characteristic
1917	C₂	#14543555	1	1	yes	characteristic
1918	C₂	#14543563	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×#3485	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3485	D₁₇
hypocenter	C₁₇	#61614
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3485

Complements

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

N	H ≅ G/N	type
1. #14543100	C₂	semidirect
2. #14541089	C₂	semidirect
3. #14541000	C₂	semidirect
4. #14540940	C₂	semidirect
5. #14540880	C₂	semidirect
6. #14540760	C₂	semidirect
7. #14540745	C₂	semidirect
8. #14540712	C₂	semidirect
9. #14540634	C₂	semidirect
10. #14540510	C₂	semidirect
11. #14540465	C₂	semidirect
12. #14540391	C₂	semidirect
13. #14540384	C₂	semidirect
14. #14540320	C₂	semidirect
15. #14540310	C₂	semidirect
16. #14540310	C₂	semidirect
17. #14540265	C₂	semidirect
18. #14539893	C₂	semidirect
19. #14539845	C₂	semidirect
20. #14539666	C₂	semidirect
21. #14539651	C₂	semidirect
22. #14539621	C₂	semidirect
23. #14539545	C₂	semidirect
24. #14539027	C₂	semidirect
25. #14538968	C₂	semidirect
26. #14538088	C₂	semidirect
27. #14538052	C₂	semidirect
28. #14538036	C₂	semidirect
29. #14538002	C₂	semidirect
30. #14537832	C₂	semidirect
31. C₁₇×#3485	C₂	semidirect
32. C₂×#10587618	C₂²	semidirect
33. C₂×#10587635	C₂²	semidirect
34. C₂×#10587635	C₂²	semidirect
35. C₂×#10587635	C₂²	semidirect
36. C₂×#10587636	C₂²	semidirect
37. C₂×#10587636	C₂²	semidirect
38. C₂×#10587636	C₂²	semidirect
39. C₂²×#63228	C₂²	semidirect
42. #11763524	C₂²	semidirect
43. #11763505	C₂²	semidirect
44. #11763499	C₂²	semidirect
46. #11763480	C₂²	semidirect
47. #11763463	C₂²	semidirect
48. #11763455	C₂²	semidirect
49. #11763455	C₂²	semidirect
51. D₄×D₆₈	C₂²	semidirect
52. #11763430	C₂²	semidirect
53. #11763414	C₂²	semidirect
60. #11763320	C₂²	semidirect
61. C₂×#10587616	C₂²	semidirect
62. #11763201	C₂²	semidirect
63. #11763199	C₂²	semidirect
64. #11763191	C₂²	semidirect
65. #11763183	C₂²	semidirect
66. #11763177	C₂²	semidirect
67. #11763168	C₂²	semidirect
68. #11763163	C₂²	semidirect
69. #11763159	C₂²	semidirect
70. #11763150	C₂²	semidirect
71. #11763147	C₂²	semidirect
72. #11763147	C₂²	semidirect
73. #11763147	C₂²	semidirect
74. #11763142	C₂²	semidirect
75. #11763142	C₂²	semidirect
76. #11763137	C₂²	semidirect
77. #11763133	C₂²	semidirect
78. #11763133	C₂²	semidirect
79. #11763133	C₂²	semidirect
80. #11763130	C₂²	semidirect
81. #11763125	C₂²	semidirect
82. #11763109	C₂²	semidirect
83. #11763109	C₂²	semidirect
84. #11763099	C₂²	semidirect
85. #11763089	C₂²	semidirect
86. #11763065	C₂²	semidirect
87. #11763065	C₂²	semidirect
88. #11763060	C₂²	semidirect
89. #11763057	C₂²	semidirect
90. #11763057	C₂²	semidirect
91. #11763057	C₂²	semidirect
92. #11763057	C₂²	semidirect
93. #11763053	C₂²	semidirect
94. #11763048	C₂²	semidirect
95. #11763043	C₂²	semidirect
96. #11763043	C₂²	semidirect
97. #11763040	C₂²	semidirect
98. #11763040	C₂²	semidirect
99. #11763040	C₂²	semidirect
100. #11763040	C₂²	semidirect
101. #11763040	C₂²	semidirect
102. #11763028	C₂²	semidirect
103. #11763024	C₂²	semidirect
104. #11763024	C₂²	semidirect
105. #11763021	C₂²	semidirect
106. #11763021	C₂²	semidirect
107. #11763021	C₂²	semidirect
108. #11763016	C₂²	semidirect
109. #11763011	C₂²	semidirect
110. #11763011	C₂²	semidirect
111. #11763011	C₂²	semidirect
112. #11763004	C₂²	semidirect
113. #11763004	C₂²	semidirect
114. #11762971	C₂²	semidirect
115. #11762971	C₂²	semidirect
116. #11762971	C₂²	semidirect
117. #11762971	C₂²	semidirect
118. #11762969	C₂²	semidirect
119. #11762969	C₂²	semidirect
120. #11762969	C₂²	semidirect
121. #11762965	C₂²	semidirect
122. #11762960	C₂²	semidirect
123. #11762960	C₂²	semidirect
124. #11762959	C₂²	semidirect
125. #11762959	C₂²	semidirect
126. #11762959	C₂²	semidirect
128. #11762954	C₂²	semidirect
129. #11762954	C₂²	semidirect
130. #11762954	C₂²	semidirect
131. #11762954	C₂²	semidirect
132. #11762954	C₂²	semidirect
133. #11762954	C₂²	semidirect
134. #11762954	C₂²	semidirect
135. #11762954	C₂²	semidirect
136. #11762954	C₂²	semidirect
137. #11762954	C₂²	semidirect
138. #11762954	C₂²	semidirect
139. #11762952	C₂²	semidirect
140. #11762948	C₂²	semidirect
141. #11762948	C₂²	semidirect
142. #11762948	C₂²	semidirect
144. #11762943	C₂²	semidirect
145. #11762943	C₂²	semidirect
146. #11762943	C₂²	semidirect
147. #11762943	C₂²	semidirect
148. #11762943	C₂²	semidirect
149. #11762942	C₂²	semidirect
150. #11762919	C₂²	semidirect
151. #11762919	C₂²	semidirect
152. #11762919	C₂²	semidirect
153. #11762909	C₂²	semidirect
154. C₄×#63229	C₂²	semidirect
155. C₄×#63228	C₂²	semidirect
156. C₄×#63228	C₂²	semidirect
157. C₄×#63228	C₂²	semidirect
158. #11762887	C₂²	semidirect
159. #11762887	C₂²	semidirect
160. #11762881	C₂²	semidirect
161. #11762881	C₂²	semidirect
162. #11762881	C₂²	semidirect
163. #11762881	C₂²	semidirect
164. D₄×#3622	C₂²	semidirect
165. D₄×#3622	C₂²	semidirect
166. #11762870	C₂²	semidirect
167. #11762870	C₂²	semidirect
168. #11762814	C₂²	semidirect
169. #11762810	C₂²	semidirect
170. #11762810	C₂²	semidirect
171. #11762810	C₂²	semidirect
172. #11762805	C₂²	semidirect
173. #11762805	C₂²	semidirect
174. #11762805	C₂²	semidirect
175. C₂×#10587503	C₂²	semidirect
176. #11762776	C₂²	semidirect
177. #11762776	C₂²	semidirect
178. #11762773	C₂²	semidirect
179. C₂×C₂²⋊#3622	C₂²	semidirect
180. C₂×C₁₇×H(5,𝔽₂)	C₂²	semidirect
181. C₂²×#41×C₁₇	C₂²	semidirect
185. C₁₇×#547	C₂²	semidirect
186. C₁₇×#547	C₂²	semidirect
187. C₁₇×#547	C₂²	semidirect
191. C₁₇×#546	C₂²	semidirect
192. C₁₇×#546	C₂²	semidirect
193. C₁₇×#546	C₂²	semidirect
194. C₁₇×#536	C₂²	semidirect
195. C₁₇×#536	C₂²	semidirect
199. C₁₇×#525	C₂²	semidirect
202. C₁₇×#518	C₂²	semidirect
886. #3485	D₁₇	semidirect
977. C₂×H(5,𝔽₂)	C₂×D₁₇	semidirect
978. C₂²×#41	C₂×D₁₇	semidirect
998. #547	C₂×D₁₇	semidirect
999. #547	C₂×D₁₇	semidirect
1000. #547	C₂×D₁₇	semidirect
1007. #546	C₂×D₁₇	semidirect
1008. #546	C₂×D₁₇	semidirect
1009. #546	C₂×D₁₇	semidirect
1016. #536	C₂×D₁₇	semidirect
1017. #536	C₂×D₁₇	semidirect
1025. #525	C₂×D₁₇	semidirect
1029. #518	C₂×D₁₇	semidirect
1449. C₁₇	#61614	semidirect

Maximal subgroups

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

subgroup	index
#14543100	2
#14541089	2
#14541000	2
#14540940	2
#14540880	2
#14540760	2
#14540745	2
#14540712	2
#14540634	2
#14540510	2
#14540465	2
#14540391	2
#14540384	2
#14540320	2
#14540310	2
#14540265	2
#14539893	2
#14539845	2
#14539666	2
#14539651	2
#14539621	2
#14539545	2
#14539027	2
#14538968	2
#14538088	2
#14538052	2
#14538036	2
#14538002	2
#14537832	2
C₁₇×#3485	2
#61614	17