Subgroups — #17919874

Order 4352.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14543094	C₂	1	1	yes	maximal, characteristic, complemented
2	#14542412	C₂	1	1	yes	maximal, characteristic, complemented
3	#14541022	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540982	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540938	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540924	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540741	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540613	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540595	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540462	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×#63228	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540399	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540392	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540326	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540269	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540268	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540261	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539883	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539835	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539648	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539637	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539597	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539573	C₂	1	1	yes	maximal, characteristic, complemented
24	#14539029	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538972	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538089	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538053	C₂	1	1	yes	maximal, characteristic, complemented
28	#14538012	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11762944	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537833	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3310	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587691	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
34	C₂×#10587594	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587600	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10587600	C₂²	1	1	yes	characteristic, complemented
37	C₂×#10587600	C₂²	1	1	yes	characteristic, complemented
38	C₂×#10587602	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₁₃₆	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#63228	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#63228	C₂²	1	1	yes	characteristic, complemented
42	#11763557	—	2	1	no	—
43	#11763550	—	2	1	no	—
44	#11763522	C₂²	1	1	yes	characteristic, complemented
45	#11763512	C₂²	1	1	yes	characteristic, complemented
46	#11763483	—	2	1	no	—
47	#11763481	C₂²	1	1	yes	characteristic, complemented
48	#11763460	C₂²	1	1	yes	characteristic, complemented
49	#11763456	C₂²	1	1	yes	characteristic, complemented
50	#11763455	C₂²	1	1	yes	characteristic
51	#11763454	C₂²	1	1	yes	characteristic, complemented
52	#11763453	C₂²	1	1	yes	characteristic, complemented
53	#11763451	—	2	1	no	—
54	#11763450	C₂²	1	1	yes	characteristic, complemented
55	#11763450	C₂²	1	1	yes	characteristic, complemented
56	#11763448	—	2	1	no	—
57	#11763446	—	2	1	no	—
58	D₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
59	#11763444	C₂²	1	1	yes	characteristic, complemented
60	#11763443	C₂²	1	1	yes	characteristic, complemented
61	D₄×C₂²⋊D₁₇	—	2	1	no	—
62	D₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
63	#11763441	—	2	1	no	—
64	#11763431	C₂²	1	1	yes	characteristic, complemented
65	#11763415	—	2	1	no	—
66	#11763415	C₂²	1	1	yes	characteristic, complemented
67	#11763398	—	2	1	no	—
68	#11763389	C₂²	1	1	yes	characteristic, complemented
69	#11763378	—	2	1	no	—
70	#11763378	C₂²	1	1	yes	characteristic, complemented
71	#11763375	C₂²	1	1	yes	characteristic, complemented
72	#11763372	C₂²	1	1	yes	characteristic, complemented
73	#11763370	—	2	1	no	—
74	#11763369	—	2	1	no	—
75	#11763367	—	2	1	no	—
76	#11763322	C₂²	1	1	yes	characteristic, complemented
77	#11763319	C₂²	1	1	yes	characteristic, complemented
78	#11763318	C₂²	1	1	yes	characteristic
79	C₂×#10587581	C₂²	1	1	yes	characteristic, complemented
80	C₂×#10587623	—	2	1	no	—
81	#120×D₁₇	—	2	1	no	—
82	#11763281	C₂²	1	1	yes	characteristic, complemented
83	#11763198	C₂²	1	1	yes	characteristic, complemented
84	#11763195	C₂²	1	1	yes	characteristic, complemented
85	#11763190	C₂²	1	1	yes	characteristic, complemented
86	#11763185	C₂²	1	1	yes	characteristic, complemented
87	#11763167	C₂²	1	1	yes	characteristic, complemented
88	#11763166	C₂²	1	1	yes	characteristic, complemented
89	#11763154	C₂²	1	1	yes	characteristic, complemented
90	#11763153	C₂²	1	1	yes	characteristic, complemented
91	#11763148	C₂²	1	1	yes	characteristic, complemented
92	#11763139	C₂²	1	1	yes	characteristic, complemented
93	#11763136	C₂²	1	1	yes	characteristic, complemented
94	#11763136	C₂²	1	1	yes	characteristic, complemented
95	#11763135	C₂²	1	1	yes	characteristic, complemented
96	#11763133	C₂²	1	1	yes	characteristic, complemented
97	#11763132	C₂²	1	1	yes	characteristic, complemented
98	#11763126	C₂²	1	1	yes	characteristic, complemented
99	#11763124	C₂²	1	1	yes	characteristic, complemented
100	#11763106	C₂²	1	1	yes	characteristic, complemented
101	#11763097	C₂²	1	1	yes	characteristic, complemented
102	#11763088	C₂²	1	1	yes	characteristic, complemented
103	#11763063	C₂²	1	1	yes	characteristic, complemented
104	#11763062	C₂²	1	1	yes	characteristic, complemented
105	#11763061	C₂²	1	1	yes	characteristic, complemented
106	#11763061	C₂²	1	1	yes	characteristic, complemented
107	#11763061	C₂²	1	1	yes	characteristic, complemented
108	#11763056	C₂²	1	1	yes	characteristic, complemented
109	#11763056	C₂²	1	1	yes	characteristic, complemented
110	#11763048	C₂²	1	1	yes	characteristic, complemented
111	#11763046	C₂²	1	1	yes	characteristic, complemented
112	#11763044	C₂²	1	1	yes	characteristic, complemented
113	#11763043	C₂²	1	1	yes	characteristic, complemented
114	#11763043	C₂²	1	1	yes	characteristic, complemented
115	#11763040	C₂²	1	1	yes	characteristic, complemented
116	#11763038	C₂²	1	1	yes	characteristic, complemented
117	#11763031	C₂²	1	1	yes	characteristic, complemented
118	#11763027	C₂²	1	1	yes	characteristic, complemented
119	#11763026	C₂²	1	1	yes	characteristic, complemented
120	#11763025	C₂²	1	1	yes	characteristic, complemented
121	#11763023	C₂²	1	1	yes	characteristic, complemented
122	#11763023	C₂²	1	1	yes	characteristic, complemented
123	#11763005	C₂²	1	1	yes	characteristic, complemented
124	#11763004	C₂²	1	1	yes	characteristic, complemented
125	#11763003	C₂²	1	1	yes	characteristic, complemented
126	#11763003	C₂²	1	1	yes	characteristic, complemented
127	#11763001	C₂²	1	1	yes	characteristic, complemented
128	#11762974	C₂²	1	1	yes	characteristic, complemented
129	#11762969	C₂²	1	1	yes	characteristic, complemented
130	#11762968	C₂²	1	1	yes	characteristic, complemented
131	#11762962	C₂²	1	1	yes	characteristic, complemented
132	#11762959	C₂²	1	1	yes	characteristic, complemented
133	#11762958	C₂²	1	1	yes	characteristic, complemented
134	#11762958	C₂²	1	1	yes	characteristic, complemented
135	#11762957	C₂²	1	1	yes	characteristic, complemented
136	#11762956	C₂²	1	1	yes	characteristic, complemented
137	#11762955	C₂²	1	1	yes	characteristic, complemented
138	#11762955	C₂²	1	1	yes	characteristic, complemented
139	#11762955	C₂²	1	1	yes	characteristic, complemented
140	#11762955	C₂²	1	1	yes	characteristic, complemented
141	#11762955	C₂²	1	1	yes	characteristic, complemented
142	#11762953	C₂²	1	1	yes	characteristic, complemented
143	#11762953	C₂²	1	1	yes	characteristic, complemented
144	#11762945	C₂²	1	1	yes	characteristic, complemented
145	#11762945	C₂²	1	1	yes	characteristic, complemented
146	#11762944	C₂²	1	1	yes	characteristic
147	#11762944	C₂²	1	1	yes	characteristic, complemented
148	#11762944	C₂²	1	1	yes	characteristic, complemented
149	#11762944	C₂²	1	1	yes	characteristic, complemented
150	#11762944	C₂²	1	1	yes	characteristic, complemented
151	#11762944	C₂²	1	1	yes	characteristic, complemented
152	#11762944	C₂²	1	1	yes	characteristic, complemented
153	#11762944	C₂²	1	1	yes	characteristic, complemented
154	#11762944	C₂²	1	1	yes	characteristic, complemented
155	#11762944	C₂²	1	1	yes	characteristic, complemented
156	#11762944	C₂²	1	1	yes	characteristic, complemented
157	#11762944	C₂²	1	1	yes	characteristic, complemented
158	#11762943	C₂²	1	1	yes	characteristic, complemented
159	#11762943	C₂²	1	1	yes	characteristic, complemented
160	#11762942	C₂²	1	1	yes	characteristic, complemented
161	#11762942	C₂²	1	1	yes	characteristic, complemented
162	#11762922	C₂²	1	1	yes	characteristic, complemented
163	#11762920	C₂²	1	1	yes	characteristic, complemented
164	#11762918	C₂²	1	1	yes	characteristic, complemented
165	C₄×#63230	C₂²	1	1	yes	characteristic, complemented
166	#11762891	C₂²	1	1	yes	characteristic, complemented
167	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
168	#11762889	C₂²	1	1	yes	characteristic, complemented
169	#11762886	C₂²	1	1	yes	characteristic, complemented
170	#11762885	C₂²	1	1	yes	characteristic, complemented
171	#11762882	C₂²	1	1	yes	characteristic, complemented
172	#11762880	C₂²	1	1	yes	characteristic, complemented
173	#11762877	C₂²	1	1	yes	characteristic, complemented
174	D₄×#3622	C₂²	1	1	yes	characteristic, complemented
175	#11762872	C₂²	1	1	yes	characteristic, complemented
176	#11762871	C₂²	1	1	yes	characteristic, complemented
177	#11762869	C₂²	1	1	yes	characteristic, complemented
178	#11762812	C₂²	1	1	yes	characteristic, complemented
179	#11762812	C₂²	1	1	yes	characteristic, complemented
180	#11762807	C₂²	1	1	yes	characteristic, complemented
181	#11762803	C₂²	1	1	yes	characteristic, complemented
182	C₂×#10587480	C₂²	1	1	yes	characteristic, complemented
183	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
184	#11762777	C₂²	1	1	yes	characteristic, complemented
185	#11762774	C₂²	1	1	yes	characteristic, complemented
186	#11762771	C₂²	1	1	yes	characteristic, complemented
187	C₂×#10587491	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#552	C₂²	1	1	yes	characteristic, complemented
189	D₄²×C₁₇	C₂²	1	1	yes	characteristic
190	C₁₇×#490	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#480	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#468	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#465	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#460	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
200	C₁₇×#435	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#418	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₇	—	2	1	no	—
204	C₂²×D₄×C₁₇	—	2	1	no	—
205	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₇	—	2	1	no	—
208	C₂²×C₂²⋊D₁₇	—	2	1	no	—
209	C₂²×C₂²⋊D₁₇	—	2	1	no	—
210	C₂²×C₂²⋊D₁₇	—	2	1	no	—
211	C₂×#63256	C₂³	1	1	yes	characteristic
212	C₂×#63256	C₂³	1	1	yes	characteristic, complemented
213	#10587691	—	4	2	no	—
214	#10587691	—	4	2	no	—
215	C₂×#63254	—	2	1	no	—
216	C₂×#63254	C₂³	1	1	yes	characteristic
217	C₂×#63254	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₁₇	—	2	1	no	—
219	C₂×D₄×D₁₇	—	2	1	no	—
220	C₂×D₄×D₁₇	—	2	1	no	—
221	C₂×D₄×D₁₇	—	2	1	no	—
222	C₂×D₄×D₁₇	—	2	1	no	—
223	C₂×D₄×D₁₇	—	2	1	no	—
224	C₂×D₄×D₁₇	—	4	2	no	—
225	C₂×D₄×D₁₇	—	4	2	no	—
226	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
231	C₂×#63252	—	2	1	no	—
232	C₂×#63252	C₂³	1	1	yes	characteristic
233	C₂×#63252	C₂³	1	1	yes	characteristic
234	C₂²×D₆₈	—	2	1	no	—
235	C₂²×D₆₈	C₂³	1	1	yes	characteristic
236	C₂²×D₆₈	C₂³	1	1	yes	characteristic
237	C₂²×D₆₈	C₂³	1	1	yes	characteristic, complemented
238	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
239	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
240	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
241	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
242	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
243	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
244	C₁₇×#127	C₂³	1	1	yes	characteristic
245	C₁₇×#126	—	2	1	no	—
246	C₁₇×#125	—	2	1	no	—
247	C₁₇×#125	C₂³	1	1	yes	characteristic, complemented
248	C₁₇×#123	—	2	1	no	—
249	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
251	C₁₇×#121	—	2	1	no	—
252	C₁₇×#121	C₂³	1	1	yes	characteristic
253	C₁₇×#121	C₂³	1	1	yes	characteristic
254	C₁₇×#120	—	2	1	no	—
255	C₁₇×#120	—	2	1	no	—
256	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
257	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
259	C₁₇×#117	—	2	1	no	—
260	C₁₇×#117	C₂³	1	1	yes	characteristic, complemented
261	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
262	#10587639	—	2	1	no	—
263	#10587639	—	2	1	no	—
264	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
265	#10587633	C₂³	1	1	yes	characteristic, complemented
266	#10587632	C₂³	1	1	yes	characteristic
267	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
268	C₂×#63230	C₂³	1	1	yes	characteristic
269	C₂×#63230	C₂³	1	1	yes	characteristic
270	#10587626	—	2	1	no	—
271	#10587626	C₂³	1	1	yes	characteristic
272	#10587625	—	2	1	no	—
273	#10587625	—	2	1	no	—
274	#10587625	—	2	1	no	—
275	#10587625	—	2	1	no	—
276	#10587625	D₄	1	1	yes	characteristic
277	#10587624	—	2	1	no	—
278	#10587624	—	2	1	no	—
279	#10587624	C₂³	1	1	yes	characteristic
280	#10587624	C₂³	1	1	yes	characteristic
281	#10587623	—	2	1	no	—
282	#10587623	—	2	1	no	—
283	#10587623	—	2	1	no	—
284	#10587623	—	2	1	no	—
285	#10587623	—	2	1	no	—
286	#10587623	—	2	1	no	—
287	#10587623	—	2	1	no	—
288	#10587623	—	2	1	no	—
289	#10587623	—	2	1	no	—
290	#10587623	—	2	1	no	—
291	#10587623	D₄	1	1	yes	characteristic
292	#10587622	C₂³	1	1	yes	characteristic
293	#10587621	—	2	1	no	—
294	D₄×Dic₁₇	—	2	1	no	—
295	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
296	C₂×#63228	—	4	2	no	—
297	C₂×#63228	—	4	2	no	—
298	C₂×#63228	C₂³	1	1	yes	characteristic
299	C₂×#63228	C₂³	1	1	yes	characteristic
300	C₂×#63228	C₂³	1	1	yes	characteristic
301	C₂×#63228	C₂³	1	1	yes	characteristic
302	C₂×#63228	C₂³	1	1	yes	characteristic
303	C₂×#63228	C₂³	1	1	yes	characteristic
304	C₂×#63228	C₂³	1	1	yes	characteristic, complemented
305	C₂×#63228	C₂³	1	1	yes	characteristic, complemented
306	C₂×#63228	C₂³	1	1	yes	characteristic, complemented
307	#10587616	—	2	1	no	—
308	#10587616	C₂³	1	1	yes	characteristic
309	#10587616	C₂³	1	1	yes	characteristic
310	#10587616	C₂³	1	1	yes	characteristic, complemented
311	#10587615	—	2	1	no	—
312	C₄×C₂²⋊D₁₇	—	2	1	no	—
313	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
314	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
315	C₂×#63227	—	2	1	no	—
316	C₂×#63227	—	2	1	no	—
317	C₂×#63227	—	2	1	no	—
318	#10587610	C₂³	1	1	yes	characteristic
319	C₂²×#3622	C₂³	1	1	yes	characteristic
320	C₂²×#3622	C₂³	1	1	yes	characteristic, complemented
321	#10587602	—	4	2	no	—
322	#10587600	—	4	2	no	—
323	#10587600	—	4	2	no	—
324	#10587600	—	4	2	no	—
325	#10587594	—	4	2	no	—
326	C₂×D₁₃₆	—	4	2	no	—
327	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
328	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
329	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
330	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
331	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
332	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
333	C₂×#63219	C₂³	1	1	yes	characteristic, complemented
334	C₂×#63219	C₂³	1	1	yes	characteristic, complemented
335	C₂×#63219	C₂³	1	1	yes	characteristic, complemented
336	C₂×#63218	C₂³	1	1	yes	characteristic
337	C₂×#63218	C₂³	1	1	yes	characteristic
338	C₂×#63218	C₂³	1	1	yes	characteristic, complemented
339	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic, complemented
340	#10587584	—	2	1	no	—
341	#10587583	C₂³	1	1	yes	characteristic
342	#10587582	—	2	1	no	—
343	#10587582	—	2	1	no	—
344	#10587582	—	2	1	no	—
345	#10587582	D₄	1	1	yes	characteristic
346	#10587581	—	2	1	no	—
347	#10587581	—	2	1	no	—
348	#10587581	—	2	1	no	—
349	#10587581	—	2	1	no	—
350	#10587581	—	2	1	no	—
351	#10587581	—	2	1	no	—
352	#10587581	—	2	1	no	—
353	#10587581	—	2	1	no	—
354	#10587581	—	2	1	no	—
355	#10587581	—	2	1	no	—
356	#10587581	—	2	1	no	—
357	#10587581	C₂³	1	1	yes	characteristic
358	#10587581	C₂³	1	1	yes	characteristic
359	#10587581	C₂³	1	1	yes	characteristic
360	#10587581	C₂³	1	1	yes	characteristic
361	#10587581	C₂³	1	1	yes	characteristic
362	#10587581	C₂³	1	1	yes	characteristic
363	#10587581	C₂³	1	1	yes	characteristic, complemented
364	#10587581	C₂³	1	1	yes	characteristic, complemented
365	#10587580	—	2	1	no	—
366	#10587580	—	2	1	no	—
367	#10587580	—	2	1	no	—
368	#10587580	—	2	1	no	—
369	#10587580	—	2	1	no	—
370	#10587580	—	2	1	no	—
371	#10587580	—	2	1	no	—
372	#10587580	—	2	1	no	—
373	#10587580	—	2	1	no	—
374	#10587580	D₄	1	1	yes	characteristic
375	#10587579	—	2	1	no	—
376	#10587579	—	2	1	no	—
377	#10587579	C₂³	1	1	yes	characteristic
378	#10587579	C₂³	1	1	yes	characteristic, complemented
379	#10587579	C₂³	1	1	yes	characteristic, complemented
380	#10587578	C₂³	1	1	yes	characteristic
381	#10587578	C₂³	1	1	yes	characteristic
382	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic, complemented
383	#10587574	C₂³	1	1	yes	characteristic, complemented
384	#10587572	—	2	1	no	—
385	#10587571	—	2	1	no	—
386	#10587571	—	2	1	no	—
387	#10587570	—	2	1	no	—
388	#10587570	—	2	1	no	—
389	#10587570	—	2	1	no	—
390	#10587570	—	2	1	no	—
391	#10587570	—	2	1	no	—
392	#10587570	D₄	1	1	yes	characteristic
393	#10587569	—	2	1	no	—
394	#10587569	—	2	1	no	—
395	#10587569	D₄	1	1	yes	characteristic
396	#10587568	—	2	1	no	—
397	#10587568	—	2	1	no	—
398	#10587568	—	2	1	no	—
399	#10587568	—	2	1	no	—
400	#10587568	—	2	1	no	—
401	#10587568	—	2	1	no	—
402	#10587568	—	2	1	no	—
403	#10587568	—	2	1	no	—
404	#10587568	—	2	1	no	—
405	#10587568	—	2	1	no	—
406	#10587568	D₄	1	1	yes	characteristic
407	#10587567	—	2	1	no	—
408	#10587567	—	2	1	no	—
409	#10587567	—	2	1	no	—
410	C₂²⋊C₄×D₁₇	—	2	1	no	—
411	C₂²⋊C₄×D₁₇	—	2	1	no	—
412	C₂²⋊C₄×D₁₇	—	2	1	no	—
413	C₂²⋊C₄×D₁₇	—	2	1	no	—
414	C₂²⋊C₄×D₁₇	—	2	1	no	—
415	#10587564	D₄	1	1	yes	characteristic
416	#10587562	—	2	1	no	—
417	#10587561	—	2	1	no	—
418	#10587561	—	2	1	no	—
419	#10587561	—	2	1	no	—
420	#10587561	C₂³	1	1	yes	characteristic
421	#10587560	—	2	1	no	—
422	#10587560	—	2	1	no	—
423	#10587560	C₂³	1	1	yes	characteristic, complemented
424	C₄×D₆₈	—	2	1	no	—
425	C₄×D₆₈	C₂³	1	1	yes	characteristic
426	C₄×D₆₈	C₂³	1	1	yes	characteristic
427	C₄×D₆₈	C₂³	1	1	yes	characteristic, complemented
428	#10587558	—	2	1	no	—
429	#10587558	C₂³	1	1	yes	characteristic
430	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
431	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
432	C₁₇×#106	C₂³	1	1	yes	characteristic, complemented
433	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
434	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
435	C₁₇×#102	C₂³	1	1	yes	characteristic
436	C₁₇×#102	C₂³	1	1	yes	characteristic
437	C₁₇×#102	C₂³	1	1	yes	characteristic
438	C₁₇×#102	C₂³	1	1	yes	characteristic
439	C₁₇×#102	C₂³	1	1	yes	characteristic
440	C₁₇×#102	C₂³	1	1	yes	characteristic
441	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
442	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
443	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
444	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
446	C₁₇×#97	C₂³	1	1	yes	characteristic, complemented
447	#10587506	C₂³	1	1	yes	characteristic, complemented
448	#10587503	C₂³	1	1	yes	characteristic
449	#10587503	C₂³	1	1	yes	characteristic
450	#10587503	C₂³	1	1	yes	characteristic, complemented
451	C₂²⋊#3622	C₂³	1	1	yes	characteristic
452	C₂²⋊#3622	C₂³	1	1	yes	characteristic, complemented
453	#10587492	C₂³	1	1	yes	characteristic
454	#10587492	C₂³	1	1	yes	characteristic
455	#10587492	C₂³	1	1	yes	characteristic, complemented
456	#10587492	C₂³	1	1	yes	characteristic, complemented
457	#10587492	C₂³	1	1	yes	characteristic, complemented
458	#10587491	C₂³	1	1	yes	characteristic
459	#10587491	C₂³	1	1	yes	characteristic
460	#10587491	C₂³	1	1	yes	characteristic
461	#10587491	C₂³	1	1	yes	characteristic
462	#10587491	C₂³	1	1	yes	characteristic
463	#10587491	C₂³	1	1	yes	characteristic
464	#10587491	C₂³	1	1	yes	characteristic, complemented
465	#10587491	C₂³	1	1	yes	characteristic, complemented
466	#10587488	C₂³	1	1	yes	characteristic, complemented
467	#10587487	C₂³	1	1	yes	characteristic, complemented
468	#10587486	C₂³	1	1	yes	characteristic, complemented
469	#10587485	C₂³	1	1	yes	characteristic, complemented
470	#10587485	C₂³	1	1	yes	characteristic, complemented
471	C₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
472	#10587481	C₂³	1	1	yes	characteristic, complemented
473	#10587481	C₂³	1	1	yes	characteristic, complemented
474	#10587481	C₂³	1	1	yes	characteristic, complemented
475	#10587480	C₂³	1	1	yes	characteristic
476	#10587480	C₂³	1	1	yes	characteristic
477	#10587480	C₂³	1	1	yes	characteristic
478	#10587480	C₂³	1	1	yes	characteristic
479	#10587480	C₂³	1	1	yes	characteristic
480	#10587480	C₂³	1	1	yes	characteristic
481	#10587480	C₂³	1	1	yes	characteristic, complemented
482	#10587480	C₂³	1	1	yes	characteristic, complemented
483	#10587480	C₂³	1	1	yes	characteristic, complemented
484	#10587479	C₂³	1	1	yes	characteristic, complemented
485	#10587479	C₂³	1	1	yes	characteristic, complemented
486	#10587478	C₂³	1	1	yes	characteristic, complemented
487	#10587478	C₂³	1	1	yes	characteristic, complemented
488	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
489	C₄×#3622	C₂³	1	1	yes	characteristic, complemented
490	C₂⁴×C₁₇	—	2	1	no	—
491	C₂⁴×C₁₇	—	2	1	no	—
492	C₂³×D₁₇	—	2	1	no	—
493	C₂³×D₁₇	—	2	1	no	—
494	C₂³×D₁₇	—	2	1	no	—
495	C₂³×D₁₇	—	2	1	no	—
496	C₂³×D₁₇	—	2	1	no	—
497	C₂³×D₁₇	—	2	1	no	—
498	C₂³×D₁₇	—	2	1	no	—
499	C₂³×D₁₇	—	2	1	no	—
500	C₂³×D₁₇	—	4	4	no	—
501	C₂³×D₁₇	—	8	2	no	—
502	C₂³×D₁₇	—	8	2	no	—
503	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
504	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₇	—	2	2	no	—
506	C₂×D₄×C₁₇	—	2	2	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	—	4	1	no	—
514	C₂×D₄×C₁₇	—	4	1	no	—
515	C₂×D₄×C₁₇	—	8	2	no	—
516	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₇	—	2	1	no	—
521	C₂²×C₄×C₁₇	—	2	1	no	—
522	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₁₇	—	2	1	no	—
525	C₂×C₂²⋊D₁₇	—	2	1	no	—
526	C₂×C₂²⋊D₁₇	—	2	1	no	—
527	C₂×C₂²⋊D₁₇	—	2	1	no	—
528	C₂×C₂²⋊D₁₇	—	2	1	no	—
529	C₂×C₂²⋊D₁₇	—	2	1	no	—
530	C₂×C₂²⋊D₁₇	—	2	1	no	—
531	C₂×C₂²⋊D₁₇	—	2	1	no	—
532	C₂×C₂²⋊D₁₇	—	2	1	no	—
533	C₂×C₂²⋊D₁₇	—	2	1	no	—
534	C₂×C₂²⋊D₁₇	—	2	1	no	—
535	C₂×C₂²⋊D₁₇	—	2	1	no	—
536	C₂×C₂²⋊D₁₇	—	2	1	no	—
537	C₂×C₂²⋊D₁₇	—	2	1	no	—
538	C₂×C₂²⋊D₁₇	—	2	1	no	—
539	C₂×C₂²⋊D₁₇	—	4	4	no	—
540	C₂×C₂²⋊D₁₇	—	4	4	no	—
541	C₂×C₂²⋊D₁₇	—	4	4	no	—
542	C₂×C₂²⋊D₁₇	—	8	2	no	—
543	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
544	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₁₇	—	2	1	no	—
548	C₂²×Dic₁₇	—	2	1	no	—
549	C₂²×Dic₁₇	—	2	1	no	—
550	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
551	#63256	—	4	1	no	—
552	#63256	—	4	1	no	—
553	#63256	—	4	1	no	—
554	#63256	—	4	1	no	—
555	#63254	—	2	2	no	—
556	#63254	—	4	1	no	—
557	#63254	—	4	1	no	—
558	#63254	—	4	1	no	—
559	#63254	—	4	4	no	—
560	D₄×D₁₇	—	2	2	no	—
561	D₄×D₁₇	—	2	2	no	—
562	D₄×D₁₇	—	2	2	no	—
563	D₄×D₁₇	—	2	2	no	—
564	D₄×D₁₇	—	2	2	no	—
565	D₄×D₁₇	—	4	1	no	—
566	D₄×D₁₇	—	4	1	no	—
567	D₄×D₁₇	—	4	1	no	—
568	D₄×D₁₇	—	4	1	no	—
569	D₄×D₁₇	—	4	1	no	—
570	D₄×D₁₇	—	4	4	no	—
571	D₄×D₁₇	—	4	4	no	—
572	D₄×D₁₇	—	4	4	no	—
573	D₄×D₁₇	—	8	2	no	—
574	D₄×D₁₇	—	8	2	no	—
575	D₄×D₁₇	—	8	2	no	—
576	#63252	—	2	2	no	—
577	#63252	—	4	1	no	—
578	#63252	—	4	1	no	—
579	#63252	—	4	1	no	—
580	#63252	—	8	2	no	—
581	C₂×D₆₈	—	2	2	no	—
582	C₂×D₆₈	—	2	1	no	—
583	C₂×D₆₈	—	2	1	no	—
584	C₂×D₆₈	—	2	1	no	—
585	C₂×D₆₈	—	2	1	no	—
586	C₂×D₆₈	—	2	1	no	—
587	C₂×D₆₈	—	2	1	no	—
588	C₂×D₆₈	—	2	1	no	—
589	C₂×D₆₈	—	2	1	no	—
590	C₂×D₆₈	—	2	1	no	—
591	C₂×D₆₈	—	2	1	no	—
592	C₂×D₆₈	—	2	1	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	—	4	1	no	—
600	C₂×D₆₈	—	4	1	no	—
601	C₂×D₆₈	—	4	1	no	—
602	C₂×D₆₈	—	8	2	no	—
603	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
604	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
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×D₆₈	C₂⁴	1	1	yes	characteristic
609	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₁₇	—	2	1	no	—
611	C₂×C₄×D₁₇	—	2	1	no	—
612	C₂×C₄×D₁₇	—	2	1	no	—
613	C₂×C₄×D₁₇	—	2	1	no	—
614	C₂×C₄×D₁₇	—	2	1	no	—
615	C₂×C₄×D₁₇	—	2	1	no	—
616	C₂×C₄×D₁₇	—	2	1	no	—
617	C₂×C₄×D₁₇	—	2	1	no	—
618	C₂×C₄×D₁₇	—	2	1	no	—
619	C₂×C₄×D₁₇	—	4	1	no	—
620	C₂×C₄×D₁₇	—	4	1	no	—
621	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
622	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
623	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
624	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
625	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
626	C₂×Dic₃₄	—	2	1	no	—
627	C₂×Dic₃₄	C₂×D₄	1	1	yes	characteristic
628	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
629	SD₁₆×C₁₇	—	2	2	no	—
630	SD₁₆×C₁₇	—	4	1	no	—
631	SD₁₆×C₁₇	—	4	1	no	—
632	M₁₆×C₁₇	—	4	1	no	—
633	C₂×C₈×C₁₇	—	4	1	no	—
634	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
637	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
638	C₄⋊C₄×C₁₇	—	2	1	no	—
639	C₄⋊C₄×C₁₇	—	2	1	no	—
640	C₄⋊C₄×C₁₇	—	2	1	no	—
641	C₄⋊C₄×C₁₇	—	2	1	no	—
642	C₄⋊C₄×C₁₇	—	2	1	no	—
643	C₄⋊C₄×C₁₇	—	2	1	no	—
644	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
645	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
648	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
657	C₄²×C₁₇	—	2	1	no	—
658	C₄²×C₁₇	—	2	1	no	—
659	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
660	C₂²⋊Dic₁₇	—	2	1	no	—
661	C₂²⋊Dic₁₇	—	2	1	no	—
662	C₂²⋊Dic₁₇	—	2	1	no	—
663	C₂²⋊Dic₁₇	—	2	1	no	—
664	C₂²⋊Dic₁₇	—	2	1	no	—
665	C₂²⋊Dic₁₇	—	2	1	no	—
666	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
668	#63231	—	4	1	no	—
669	#63230	—	2	2	no	—
670	#63230	—	4	1	no	—
671	#63228	—	2	2	no	—
672	#63228	—	2	2	no	—
673	#63228	—	2	2	no	—
674	#63228	—	4	1	no	—
675	#63228	—	4	1	no	—
676	#63228	—	4	1	no	—
677	#63228	—	4	1	no	—
678	#63228	—	4	1	no	—
679	#63228	—	4	1	no	—
680	#63227	—	2	1	no	—
681	#63227	—	2	1	no	—
682	#63227	—	2	1	no	—
683	#63227	—	2	1	no	—
684	#63227	—	2	1	no	—
685	#63227	—	2	1	no	—
686	#63227	—	2	1	no	—
687	#63227	—	2	1	no	—
688	#63227	—	2	1	no	—
689	#63227	—	2	1	no	—
690	#63227	—	2	1	no	—
691	#63227	—	2	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	C₂×D₄	1	1	yes	characteristic
705	#63227	C₂×D₄	1	1	yes	characteristic
706	#63227	C₂×D₄	1	1	yes	characteristic
707	#63227	C₂×D₄	1	1	yes	characteristic
708	#63227	C₂×D₄	1	1	yes	characteristic
709	#63227	C₂×D₄	1	1	yes	characteristic
710	C₄⋊Dic₁₇	—	2	1	no	—
711	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
712	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
714	#63225	—	2	1	no	—
715	#63225	—	2	1	no	—
716	#63225	—	2	1	no	—
717	#63225	—	2	1	no	—
718	#63225	C₂×D₄	1	1	yes	characteristic
719	#63225	C₂×D₄	1	1	yes	characteristic
720	#63225	C₂×D₄	1	1	yes	characteristic
721	#63225	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₁₇	—	2	1	no	—
723	C₄×Dic₁₇	—	2	1	no	—
724	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
725	C₂×#3622	—	4	1	no	—
726	C₂×#3622	—	4	1	no	—
727	C₂×#3622	C₂⁴	1	1	yes	characteristic
728	C₂×#3622	C₂⁴	1	1	yes	characteristic
729	C₂×#3622	C₂⁴	1	1	yes	characteristic
730	C₂×#3622	C₂⁴	1	1	yes	characteristic
731	D₁₃₆	—	2	2	no	—
732	D₁₃₆	—	2	2	no	—
733	D₁₃₆	—	2	2	no	—
734	D₁₃₆	—	4	1	no	—
735	D₁₃₆	—	4	1	no	—
736	D₁₃₆	—	4	1	no	—
737	#63219	—	4	1	no	—
738	#63219	—	4	1	no	—
739	#63219	—	4	1	no	—
740	#63218	—	4	1	no	—
741	#63218	—	4	1	no	—
742	#63218	—	4	1	no	—
743	C₈×D₁₇	—	4	1	no	—
744	#61609	—	17	1	no	maximal, Sylow
745	C₂³×C₁₇	—	2	1	no	—
746	C₂³×C₁₇	—	2	1	no	—
747	C₂³×C₁₇	—	2	1	no	—
748	C₂³×C₁₇	—	4	2	no	—
749	C₂³×C₁₇	—	4	2	no	—
750	C₂³×C₁₇	—	4	2	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	C₂²×D₁₇	—	2	2	no	—
757	C₂²×D₁₇	—	2	1	no	—
758	C₂²×D₁₇	—	2	4	no	—
759	C₂²×D₁₇	—	2	1	no	—
760	C₂²×D₁₇	—	2	1	no	—
761	C₂²×D₁₇	—	2	1	no	—
762	C₂²×D₁₇	—	2	1	no	—
763	C₂²×D₁₇	—	4	1	no	—
764	C₂²×D₁₇	—	4	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	—	4	2	no	—
770	C₂²×D₁₇	—	4	2	no	—
771	C₂²×D₁₇	—	4	2	no	—
772	C₂²×D₁₇	—	4	2	no	—
773	C₂²×D₁₇	—	4	2	no	—
774	C₂²×D₁₇	—	8	1	no	—
775	C₂²×D₁₇	—	8	1	no	—
776	C₂²×D₁₇	—	8	1	no	—
777	C₂²×D₁₇	—	8	1	no	—
778	C₂²×D₁₇	—	8	1	no	—
779	C₂²×D₁₇	—	8	1	no	—
780	C₂²×D₁₇	—	8	1	no	—
781	C₂²×D₁₇	—	8	1	no	—
782	C₂²×D₁₇	—	8	1	no	—
783	C₂²×D₁₇	—	8	1	no	—
784	C₂²×D₁₇	—	8	1	no	—
785	C₂²×D₁₇	—	8	1	no	—
786	C₂²×D₁₇	—	8	1	no	—
787	C₂²×D₁₇	—	8	1	no	—
788	C₂²×D₁₇	—	8	16	no	—
789	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
790	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
791	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
792	Q₈×C₁₇	—	2	1	no	—
793	Q₈×C₁₇	—	2	1	no	—
794	D₄×C₁₇	—	2	2	no	—
795	D₄×C₁₇	—	2	1	no	—
796	D₄×C₁₇	—	2	1	no	—
797	D₄×C₁₇	—	2	1	no	—
798	D₄×C₁₇	—	2	1	no	—
799	D₄×C₁₇	—	2	1	no	—
800	D₄×C₁₇	—	4	2	no	—
801	D₄×C₁₇	—	4	2	no	—
802	D₄×C₁₇	—	4	2	no	—
803	D₄×C₁₇	—	8	1	no	—
804	D₄×C₁₇	—	8	1	no	—
805	D₄×C₁₇	—	8	1	no	—
806	D₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
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	2	no	—
817	C₂×C₄×C₁₇	—	8	1	no	—
818	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
823	C₂²⋊D₁₇	—	2	4	no	—
824	C₂²⋊D₁₇	—	2	2	no	—
825	C₂²⋊D₁₇	—	4	1	no	—
826	C₂²⋊D₁₇	—	4	1	no	—
827	C₂²⋊D₁₇	—	4	1	no	—
828	C₂²⋊D₁₇	—	4	2	no	—
829	C₂²⋊D₁₇	—	4	2	no	—
830	C₂²⋊D₁₇	—	4	2	no	—
831	C₂²⋊D₁₇	—	4	2	no	—
832	C₂²⋊D₁₇	—	4	2	no	—
833	C₂²⋊D₁₇	—	4	2	no	—
834	C₂²⋊D₁₇	—	4	2	no	—
835	C₂²⋊D₁₇	—	4	2	no	—
836	C₂²⋊D₁₇	—	4	2	no	—
837	C₂²⋊D₁₇	—	8	1	no	—
838	C₂²⋊D₁₇	—	8	1	no	—
839	C₂²⋊D₁₇	—	8	1	no	—
840	C₂²⋊D₁₇	—	8	1	no	—
841	C₂²⋊D₁₇	—	8	1	no	—
842	C₂×Dic₁₇	—	2	1	no	—
843	C₂×Dic₁₇	—	2	1	no	—
844	C₂×Dic₁₇	—	2	1	no	—
845	C₂×Dic₁₇	—	4	1	no	—
846	C₂×Dic₁₇	—	4	2	no	—
847	C₂×Dic₁₇	—	4	2	no	—
848	C₂×Dic₁₇	—	8	1	no	—
849	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
851	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
852	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
853	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
854	D₆₈	—	2	1	no	—
855	D₆₈	—	2	1	no	—
856	D₆₈	—	2	1	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	—	2	1	no	—
863	D₆₈	—	4	1	no	—
864	D₆₈	—	4	1	no	—
865	D₆₈	—	4	2	no	—
866	D₆₈	—	8	1	no	—
867	D₆₈	—	8	1	no	—
868	D₆₈	—	8	1	no	—
869	D₆₈	—	8	1	no	—
870	D₆₈	—	8	1	no	—
871	D₆₈	—	8	1	no	—
872	D₆₈	—	8	1	no	—
873	D₆₈	—	8	1	no	—
874	D₆₈	—	8	1	no	—
875	D₆₈	—	8	1	no	—
876	D₆₈	—	8	1	no	—
877	D₆₈	—	8	1	no	—
878	D₆₈	—	8	1	no	—
879	D₆₈	—	8	1	no	—
880	D₆₈	H(5,𝔽₂)	1	2	yes	—
881	C₄×D₁₇	—	2	1	no	—
882	C₄×D₁₇	—	2	1	no	—
883	C₄×D₁₇	—	2	1	no	—
884	C₄×D₁₇	—	2	1	no	—
885	C₄×D₁₇	—	2	1	no	—
886	C₄×D₁₇	—	2	1	no	—
887	C₄×D₁₇	—	4	1	no	—
888	C₄×D₁₇	—	4	1	no	—
889	C₄×D₁₇	—	4	2	no	—
890	C₄×D₁₇	—	8	1	no	—
891	C₄×D₁₇	—	8	1	no	—
892	C₄×D₁₇	—	8	1	no	—
893	C₄×D₁₇	—	8	1	no	—
894	C₄×D₁₇	—	8	1	no	—
895	C₄×D₁₇	—	8	1	no	—
896	C₄×D₁₇	—	8	1	no	—
897	C₄×D₁₇	—	8	1	no	—
898	Dic₃₄	—	2	1	no	—
899	Dic₃₄	—	2	1	no	—
900	Dic₃₄	—	4	1	no	—
901	Dic₃₄	—	8	1	no	—
902	C₈×C₁₇	—	2	1	no	—
903	C₈×C₁₇	—	2	1	no	—
904	C₈×C₁₇	—	2	1	no	—
905	C₈×C₁₇	—	2	1	no	—
906	#3622	—	2	1	no	—
907	#3622	—	2	1	no	—
908	#3622	—	2	1	no	—
909	#3622	—	2	1	no	—
910	#3542	—	17	1	no	—
911	#3484	—	17	1	no	—
912	#3325	—	17	1	no	—
913	#3322	—	17	1	no	—
914	#3319	—	17	1	no	—
915	#3318	—	17	1	no	—
916	#3310	D₁₇	1	1	yes	characteristic, complemented
917	#3306	—	17	1	no	—
918	#3296	—	17	1	no	—
919	#3294	—	17	1	no	—
920	#3280	—	17	1	no	—
921	D₄×D₈	—	17	1	no	—
922	#3274	—	17	1	no	—
923	#3273	—	17	1	no	—
924	#3268	—	17	1	no	—
925	#3264	—	17	1	no	—
926	#3264	—	17	1	no	—
927	#3264	—	17	1	no	—
928	#3224	—	17	1	no	—
929	#3220	—	17	1	no	—
930	#3199	—	17	1	no	—
931	#3198	—	17	1	no	—
932	#3194	—	17	1	no	—
933	#3191	—	17	1	no	—
934	#3122	—	17	1	no	—
935	#3118	—	17	1	no	—
936	#3012	—	17	1	no	—
937	#3008	—	17	1	no	—
938	#3003	—	17	1	no	—
939	C₂×#447	—	17	1	no	—
940	#2976	—	17	1	no	—
941	C₂²×C₁₇	—	2	1	no	—
942	C₂²×C₁₇	—	2	1	no	—
943	C₂²×C₁₇	—	2	1	no	—
944	C₂²×C₁₇	—	2	2	no	—
945	C₂²×C₁₇	—	2	1	no	—
946	C₂²×C₁₇	—	2	1	no	—
947	C₂²×C₁₇	—	4	1	no	—
948	C₂²×C₁₇	—	4	1	no	—
949	C₂²×C₁₇	—	4	1	no	—
950	C₂²×C₁₇	—	4	1	no	—
951	C₂²×C₁₇	—	4	1	no	—
952	C₂²×C₁₇	—	4	1	no	—
953	C₂²×C₁₇	—	4	1	no	—
954	C₂²×C₁₇	—	4	1	no	—
955	C₂²×C₁₇	—	8	4	no	—
956	C₂²×C₁₇	—	16	2	no	—
957	C₂²×C₁₇	#576	1	2	yes	—
958	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
959	C₂×D₁₇	—	2	1	no	—
960	C₂×D₁₇	—	2	1	no	—
961	C₂×D₁₇	—	2	1	no	—
962	C₂×D₁₇	—	2	1	no	—
963	C₂×D₁₇	—	2	1	no	—
964	C₂×D₁₇	—	2	1	no	—
965	C₂×D₁₇	—	2	2	no	—
966	C₂×D₁₇	—	2	1	no	—
967	C₂×D₁₇	—	2	1	no	—
968	C₂×D₁₇	—	2	1	no	—
969	C₂×D₁₇	—	4	4	no	—
970	C₂×D₁₇	—	4	1	no	—
971	C₂×D₁₇	—	4	1	no	—
972	C₂×D₁₇	—	4	1	no	—
973	C₂×D₁₇	—	4	1	no	—
974	C₂×D₁₇	—	4	1	no	—
975	C₂×D₁₇	—	4	1	no	—
976	C₂×D₁₇	—	4	1	no	—
977	C₂×D₁₇	—	4	1	no	—
978	C₂×D₁₇	—	4	1	no	—
979	C₂×D₁₇	—	4	1	no	—
980	C₂×D₁₇	—	4	1	no	—
981	C₂×D₁₇	—	4	1	no	—
982	C₂×D₁₇	—	4	1	no	—
983	C₂×D₁₇	—	4	1	no	—
984	C₂×D₁₇	—	8	4	no	—
985	C₂×D₁₇	—	8	4	no	—
986	C₂×D₁₇	—	8	4	no	—
987	C₂×D₁₇	—	8	4	no	—
988	C₂×D₁₇	—	8	4	no	—
989	C₂×D₁₇	—	16	2	no	—
990	C₂×D₁₇	—	16	2	no	—
991	C₂×D₁₇	—	16	2	no	—
992	C₄×C₁₇	—	2	1	no	—
993	C₄×C₁₇	—	2	1	no	—
994	C₄×C₁₇	—	2	1	no	—
995	C₄×C₁₇	—	2	1	no	—
996	C₄×C₁₇	—	4	1	no	—
997	C₄×C₁₇	—	4	1	no	—
998	C₄×C₁₇	—	4	1	no	—
999	C₄×C₁₇	—	4	1	no	—
1000	C₄×C₁₇	—	4	1	no	—
1001	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1003	Dic₁₇	—	2	1	no	—
1004	Dic₁₇	—	2	1	no	—
1005	Dic₁₇	—	2	1	no	—
1006	Dic₁₇	—	2	1	no	—
1007	Dic₁₇	—	2	1	no	—
1008	Dic₁₇	—	4	1	no	—
1009	Dic₁₇	—	4	1	no	—
1010	Dic₁₇	—	4	1	no	—
1011	C₂×H(5,𝔽₂)	—	17	1	no	—
1012	C₂³×D₄	—	17	1	no	—
1013	C₂×AGL(1,ℤ/8)	—	17	1	no	—
1014	C₂×AGL(1,ℤ/8)	—	17	1	no	—
1015	C₂×AGL(1,ℤ/8)	—	17	1	no	—
1016	C₂×AGL(1,ℤ/8)	—	17	1	no	—
1017	C₂×#135	—	17	1	no	—
1018	C₂²×D₈	—	17	1	no	—
1019	C₂²×D₈	—	17	1	no	—
1020	C₂²×D₈	—	17	1	no	—
1021	#562	—	34	1	no	—
1022	#560	—	34	1	no	—
1023	#555	—	17	1	no	—
1024	#553	—	17	1	no	—
1025	#552	C₂×D₁₇	1	1	yes	characteristic, complemented
1026	#551	—	34	1	no	—
1027	#550	—	17	1	no	—
1028	#547	—	17	1	no	—
1029	#546	—	17	1	no	—
1030	#546	—	17	1	no	—
1031	#546	—	17	1	no	—
1032	#546	—	17	1	no	—
1033	#546	—	17	1	no	—
1034	#546	—	17	1	no	—
1035	#546	—	34	1	no	—
1036	#546	—	34	1	no	—
1037	#546	—	34	1	no	—
1038	D₄²	—	17	1	no	—
1039	D₄²	—	17	1	no	—
1040	D₄²	—	17	1	no	—
1041	D₄²	—	17	1	no	—
1042	D₄²	—	34	1	no	—
1043	D₄²	—	34	1	no	—
1044	D₄²	C₂×D₁₇	1	1	yes	characteristic
1045	#542	—	17	1	no	—
1046	#540	—	17	1	no	—
1047	#540	—	34	1	no	—
1048	#538	—	34	1	no	—
1049	#537	—	17	1	no	—
1050	#535	—	17	1	no	—
1051	#535	—	17	1	no	—
1052	#535	—	17	1	no	—
1053	#535	—	34	1	no	—
1054	#534	—	34	1	no	—
1055	#534	—	34	1	no	—
1056	#534	—	34	1	no	—
1057	#525	—	17	1	no	—
1058	#525	—	17	1	no	—
1059	#525	—	17	1	no	—
1060	C₂×#121	—	17	1	no	—
1061	C₂×#120	—	34	1	no	—
1062	C₂×#120	—	34	1	no	—
1063	#518	—	17	1	no	—
1064	#496	—	17	1	no	—
1065	#496	—	17	1	no	—
1066	#495	—	17	1	no	—
1067	#493	—	17	1	no	—
1068	#490	C₂×D₁₇	1	1	yes	characteristic, complemented
1069	#489	—	17	1	no	—
1070	#488	—	17	1	no	—
1071	#486	—	17	1	no	—
1072	#485	—	17	1	no	—
1073	#485	—	17	1	no	—
1074	#483	—	17	1	no	—
1075	#482	—	17	1	no	—
1076	#482	—	17	1	no	—
1077	#482	—	17	1	no	—
1078	#482	—	17	1	no	—
1079	#482	—	17	1	no	—
1080	#482	C₂×D₁₇	1	1	yes	characteristic, complemented
1081	#481	—	17	1	no	—
1082	#480	—	17	1	no	—
1083	#480	C₂×D₁₇	1	1	yes	characteristic, complemented
1084	#478	—	17	1	no	—
1085	#478	C₂×D₁₇	1	1	yes	characteristic, complemented
1086	#476	—	17	1	no	—
1087	#474	—	17	1	no	—
1088	#469	—	17	1	no	—
1089	#469	—	17	1	no	—
1090	#469	—	17	1	no	—
1091	#469	—	17	1	no	—
1092	#469	—	17	1	no	—
1093	#468	—	17	1	no	—
1094	#468	—	17	1	no	—
1095	#468	C₂×D₁₇	1	1	yes	characteristic, complemented
1096	#467	—	17	1	no	—
1097	#466	—	17	1	no	—
1098	#466	—	17	1	no	—
1099	#466	—	17	1	no	—
1100	#466	—	17	1	no	—
1101	#465	—	17	1	no	—
1102	#465	—	17	1	no	—
1103	#465	C₂×D₁₇	1	1	yes	characteristic, complemented
1104	#464	—	17	1	no	—
1105	#463	—	17	1	no	—
1106	#463	—	17	1	no	—
1107	#463	—	17	1	no	—
1108	#463	—	17	1	no	—
1109	#463	—	17	1	no	—
1110	#460	C₂×D₁₇	1	1	yes	characteristic, complemented
1111	#459	—	17	1	no	—
1112	#459	—	17	1	no	—
1113	#459	—	17	1	no	—
1114	#459	—	17	1	no	—
1115	#459	—	17	1	no	—
1116	#452	—	17	1	no	—
1117	#452	—	17	1	no	—
1118	#452	—	17	1	no	—
1119	#450	—	17	1	no	—
1120	#450	—	17	1	no	—
1121	#450	—	17	1	no	—
1122	#450	—	17	1	no	—
1123	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1124	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1125	#449	—	17	1	no	—
1126	#449	—	17	1	no	—
1127	#449	—	17	1	no	—
1128	#449	—	17	1	no	—
1129	#449	—	17	1	no	—
1130	#449	—	17	1	no	—
1131	#449	—	17	1	no	—
1132	#449	—	17	1	no	—
1133	#449	—	17	1	no	—
1134	#447	—	17	1	no	—
1135	#447	—	17	1	no	—
1136	#447	—	17	1	no	—
1137	#447	—	17	1	no	—
1138	#447	—	17	1	no	—
1139	#447	—	17	1	no	—
1140	#447	—	17	1	no	—
1141	#447	—	17	1	no	—
1142	#447	—	17	1	no	—
1143	#447	—	17	1	no	—
1144	#447	—	17	1	no	—
1145	#447	—	17	1	no	—
1146	#447	—	17	1	no	—
1147	#447	—	17	1	no	—
1148	#447	—	17	1	no	—
1149	#447	—	17	1	no	—
1150	#447	—	17	1	no	—
1151	#447	—	17	1	no	—
1152	#442	—	17	1	no	—
1153	#442	—	17	1	no	—
1154	#442	—	17	1	no	—
1155	#440	C₂×D₁₇	1	1	yes	characteristic, complemented
1156	C₄×SD₁₆	—	17	1	no	—
1157	C₄×D₈	—	17	1	no	—
1158	C₄×D₈	—	17	1	no	—
1159	C₄×D₈	—	17	1	no	—
1160	#436	—	17	1	no	—
1161	#436	—	17	1	no	—
1162	#435	—	17	1	no	—
1163	#435	—	17	1	no	—
1164	#435	—	17	1	no	—
1165	#435	C₂×D₁₇	1	1	yes	characteristic, complemented
1166	C₈×D₄	—	17	1	no	—
1167	C₈×D₄	—	17	1	no	—
1168	#433	—	17	1	no	—
1169	#433	—	17	1	no	—
1170	#418	—	17	1	no	—
1171	#418	—	17	1	no	—
1172	#418	C₂×D₁₇	1	1	yes	characteristic, complemented
1173	#417	—	17	1	no	—
1174	#416	—	17	1	no	—
1175	C₂×#102	—	17	1	no	—
1176	C₂×#102	—	17	1	no	—
1177	C₂×#102	C₂×D₁₇	1	1	yes	characteristic, complemented
1178	#408	—	17	1	no	—
1179	#408	—	17	1	no	—
1180	#407	—	17	1	no	—
1181	C₂×C₂²⋊C₈	—	17	1	no	—
1182	C₂×C₁₇	—	2	2	no	—
1183	C₂×C₁₇	—	4	2	no	—
1184	C₂×C₁₇	—	4	1	no	—
1185	C₂×C₁₇	—	8	1	no	—
1186	C₂×C₁₇	—	8	1	no	—
1187	C₂×C₁₇	#3484	1	1	yes	characteristic
1188	C₂×C₁₇	C₂×#576	1	1	yes	characteristic
1189	C₂×C₁₇	#3585	1	1	yes	characteristic
1190	D₁₇	—	4	1	no	—
1191	D₁₇	—	4	1	no	—
1192	D₁₇	—	4	1	no	—
1193	D₁₇	—	4	2	no	—
1194	D₁₇	—	8	1	no	—
1195	D₁₇	—	8	1	no	—
1196	D₁₇	—	8	1	no	—
1197	D₁₇	—	8	1	no	—
1198	C₂⁵	—	34	1	no	—
1199	H(5,𝔽₂)	—	68	2	no	—
1200	H(5,𝔽₂)	—	68	2	no	—
1201	C₂×#41	—	17	1	no	—
1202	C₂×#41	—	17	1	no	—
1203	C₂×#41	—	17	1	no	—
1204	C₂×#41	—	17	1	no	—
1205	C₂×#41	—	17	1	no	—
1206	C₂×#41	—	17	1	no	—
1207	C₂×#41	—	34	1	no	—
1208	C₂×#41	—	34	1	no	—
1209	C₂²×D₄	—	2	1	no	—
1210	C₂²×D₄	—	17	1	no	—
1211	C₂²×D₄	—	17	1	no	—
1212	C₂²×D₄	—	17	1	no	—
1213	C₂²×D₄	—	17	1	no	—
1214	C₂²×D₄	—	17	1	no	—
1215	C₂²×D₄	—	17	1	no	—
1216	C₂²×D₄	—	17	1	no	—
1217	C₂²×D₄	—	17	1	no	—
1218	C₂²×D₄	—	34	1	no	—
1219	C₂²×D₄	—	34	1	no	—
1220	C₂²×D₄	—	34	1	no	—
1221	C₂²×D₄	—	34	1	no	—
1222	C₂²×D₄	—	34	1	no	—
1223	C₂²×D₄	—	34	1	no	—
1224	C₂²×D₄	—	34	1	no	—
1225	C₂²×D₄	—	34	1	no	—
1226	C₂²×D₄	—	34	1	no	—
1227	C₂²×D₄	—	34	1	no	—
1228	C₂²×D₄	—	34	1	no	—
1229	C₂²×D₄	—	68	2	no	—
1230	C₂²×D₄	—	68	2	no	—
1231	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1232	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1233	C₂³×C₄	—	17	1	no	—
1234	AGL(1,ℤ/8)	—	68	2	no	—
1235	AGL(1,ℤ/8)	—	68	2	no	—
1236	AGL(1,ℤ/8)	—	68	2	no	—
1237	AGL(1,ℤ/8)	—	68	2	no	—
1238	#135	—	68	2	no	—
1239	C₂×Q₁₆	—	17	1	no	—
1240	C₂×SD₁₆	—	17	1	no	—
1241	C₂×SD₁₆	—	17	1	no	—
1242	C₂×SD₁₆	—	17	1	no	—
1243	C₂×SD₁₆	—	17	1	no	—
1244	C₂×SD₁₆	—	17	1	no	—
1245	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1246	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1247	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1248	C₂×D₈	—	17	1	no	—
1249	C₂×D₈	—	17	1	no	—
1250	C₂×D₈	—	17	1	no	—
1251	C₂×D₈	—	17	1	no	—
1252	C₂×D₈	—	17	1	no	—
1253	C₂×D₈	—	17	1	no	—
1254	C₂×D₈	—	17	1	no	—
1255	C₂×D₈	—	17	1	no	—
1256	C₂×D₈	—	17	1	no	—
1257	C₂×D₈	—	17	1	no	—
1258	C₂×D₈	—	17	1	no	—
1259	C₂×D₈	—	17	1	no	—
1260	C₂×D₈	—	17	1	no	—
1261	C₂×D₈	—	17	1	no	—
1262	C₂×D₈	—	17	1	no	—
1263	C₂×D₈	—	68	2	no	—
1264	C₂×D₈	—	68	2	no	—
1265	C₂×D₈	—	68	2	no	—
1266	C₂×M₁₆	—	17	1	no	—
1267	C₂×M₁₆	—	17	1	no	—
1268	C₂×M₁₆	—	17	1	no	—
1269	C₂×M₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1270	C₂²×C₈	—	17	1	no	—
1271	C₂²×C₈	—	17	1	no	—
1272	C₂²×C₈	—	17	1	no	—
1273	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic
1274	C₄⋊Q₈	—	17	1	no	—
1275	#127	—	17	1	no	—
1276	#127	—	17	1	no	—
1277	#127	—	34	1	no	—
1278	#127	—	34	1	no	—
1279	#127	—	34	1	no	—
1280	#127	C₂²×D₁₇	1	1	yes	characteristic
1281	#126	—	2	1	no	—
1282	#126	—	34	1	no	—
1283	#126	—	34	1	no	—
1284	#125	—	2	1	no	—
1285	#125	C₂²×D₁₇	1	1	yes	characteristic, complemented
1286	#124	—	17	1	no	—
1287	#124	—	17	1	no	—
1288	#124	—	17	1	no	—
1289	#124	—	34	1	no	—
1290	#124	—	34	1	no	—
1291	#124	—	34	1	no	—
1292	#124	—	34	1	no	—
1293	#124	—	34	1	no	—
1294	#123	—	2	1	no	—
1295	#123	—	17	1	no	—
1296	#123	—	17	1	no	—
1297	#123	—	34	1	no	—
1298	#123	—	34	1	no	—
1299	#123	—	34	1	no	—
1300	#123	—	34	1	no	—
1301	#123	—	34	1	no	—
1302	#123	—	34	1	no	—
1303	#123	—	34	1	no	—
1304	#123	—	34	1	no	—
1305	#123	—	34	1	no	—
1306	#123	—	34	1	no	—
1307	#123	—	34	1	no	—
1308	#123	—	34	1	no	—
1309	#123	—	34	1	no	—
1310	#123	—	34	1	no	—
1311	C₂²⋊Q₈	—	17	1	no	—
1312	C₂²⋊Q₈	—	17	1	no	—
1313	C₂²⋊Q₈	—	17	1	no	—
1314	C₂²⋊Q₈	—	17	1	no	—
1315	C₂²⋊Q₈	—	17	1	no	—
1316	C₂²⋊Q₈	—	34	1	no	—
1317	C₂²⋊Q₈	—	34	1	no	—
1318	C₂²⋊Q₈	—	34	1	no	—
1319	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1320	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1321	#121	—	2	1	no	—
1322	#121	—	17	1	no	—
1323	#121	—	17	1	no	—
1324	#121	—	17	1	no	—
1325	#121	—	17	1	no	—
1326	#121	—	17	1	no	—
1327	#121	—	17	1	no	—
1328	#121	—	17	1	no	—
1329	#121	—	17	1	no	—
1330	#121	—	17	1	no	—
1331	#121	—	17	1	no	—
1332	#121	—	17	1	no	—
1333	#121	—	17	1	no	—
1334	#121	—	17	1	no	—
1335	#121	—	17	1	no	—
1336	#121	—	17	1	no	—
1337	#121	—	34	1	no	—
1338	#121	—	34	1	no	—
1339	#121	—	34	1	no	—
1340	#121	—	34	1	no	—
1341	#121	—	34	1	no	—
1342	#121	—	34	1	no	—
1343	#121	—	34	1	no	—
1344	#121	—	34	1	no	—
1345	#121	—	34	1	no	—
1346	#121	—	34	1	no	—
1347	#121	—	34	1	no	—
1348	#121	—	34	1	no	—
1349	#121	—	34	1	no	—
1350	#121	—	34	1	no	—
1351	#121	—	34	1	no	—
1352	#121	—	34	1	no	—
1353	#121	—	34	1	no	—
1354	#121	—	34	1	no	—
1355	#121	—	34	1	no	—
1356	#121	—	34	1	no	—
1357	#121	—	34	1	no	—
1358	#121	—	34	1	no	—
1359	#121	—	34	1	no	—
1360	#121	C₂²×D₁₇	1	1	yes	characteristic
1361	#121	C₂²×D₁₇	1	1	yes	characteristic
1362	#120	—	2	1	no	—
1363	#120	—	2	1	no	—
1364	#120	—	17	1	no	—
1365	#120	—	17	1	no	—
1366	#120	—	34	1	no	—
1367	#120	—	34	1	no	—
1368	#120	—	34	1	no	—
1369	#120	—	34	1	no	—
1370	#120	—	34	1	no	—
1371	#120	—	34	1	no	—
1372	#120	—	34	1	no	—
1373	#120	—	34	1	no	—
1374	#120	—	34	1	no	—
1375	#120	—	34	1	no	—
1376	#120	—	34	1	no	—
1377	#120	—	34	1	no	—
1378	#120	—	34	1	no	—
1379	#120	—	34	1	no	—
1380	#120	—	34	1	no	—
1381	#120	—	34	1	no	—
1382	#120	—	34	1	no	—
1383	#120	—	34	1	no	—
1384	#120	—	34	1	no	—
1385	#120	—	34	1	no	—
1386	#120	—	34	1	no	—
1387	#120	—	34	1	no	—
1388	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1389	C₄×D₄	—	17	1	no	—
1390	C₄×D₄	—	17	1	no	—
1391	C₄×D₄	—	17	1	no	—
1392	C₄×D₄	—	17	1	no	—
1393	C₄×D₄	—	17	1	no	—
1394	C₄×D₄	—	17	1	no	—
1395	C₄×D₄	—	17	1	no	—
1396	C₄×D₄	—	17	1	no	—
1397	C₄×D₄	—	17	1	no	—
1398	C₄×D₄	—	34	1	no	—
1399	C₄×D₄	—	34	1	no	—
1400	C₄×D₄	—	34	1	no	—
1401	C₄×D₄	—	34	1	no	—
1402	C₄×D₄	—	34	1	no	—
1403	C₄×D₄	—	34	1	no	—
1404	C₄×D₄	—	34	1	no	—
1405	C₄×D₄	—	34	1	no	—
1406	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1407	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1408	#117	—	2	1	no	—
1409	#117	—	17	1	no	—
1410	#117	—	17	1	no	—
1411	#117	—	17	1	no	—
1412	#117	—	34	1	no	—
1413	#117	C₂²×D₁₇	1	1	yes	characteristic, complemented
1414	C₂×C₄⋊C₄	—	17	1	no	—
1415	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1416	C₂×C₂²⋊C₄	—	34	1	no	—
1417	C₂×C₂²⋊C₄	—	34	1	no	—
1418	C₂×C₂²⋊C₄	—	34	1	no	—
1419	C₂×C₂²⋊C₄	—	34	1	no	—
1420	C₂×C₂²⋊C₄	—	34	1	no	—
1421	C₂×C₂²⋊C₄	—	34	1	no	—
1422	C₂×C₂²⋊C₄	—	34	1	no	—
1423	C₂×C₂²⋊C₄	—	34	1	no	—
1424	C₂×C₂²⋊C₄	—	34	1	no	—
1425	#107	—	17	1	no	—
1426	#107	—	17	1	no	—
1427	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1428	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1429	#106	—	17	1	no	—
1430	#106	—	17	1	no	—
1431	#106	—	17	1	no	—
1432	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1433	C₄⋊C₈	—	17	1	no	—
1434	C₄⋊C₈	—	17	1	no	—
1435	C₄⋊C₈	—	17	1	no	—
1436	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1437	#103	—	17	1	no	—
1438	#103	—	17	1	no	—
1439	#103	—	17	1	no	—
1440	#103	—	17	1	no	—
1441	#103	—	17	1	no	—
1442	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1443	#102	—	17	1	no	—
1444	#102	—	17	1	no	—
1445	#102	—	17	1	no	—
1446	#102	—	17	1	no	—
1447	#102	—	17	1	no	—
1448	#102	—	17	1	no	—
1449	#102	—	17	1	no	—
1450	#102	—	17	1	no	—
1451	#102	—	17	1	no	—
1452	#102	—	17	1	no	—
1453	#102	—	17	1	no	—
1454	#102	—	17	1	no	—
1455	#102	—	17	1	no	—
1456	#102	—	17	1	no	—
1457	#102	—	17	1	no	—
1458	#102	—	17	1	no	—
1459	#102	—	17	1	no	—
1460	#102	C₂²×D₁₇	1	1	yes	characteristic
1461	#102	C₂²×D₁₇	1	1	yes	characteristic
1462	#102	C₂²×D₁₇	1	1	yes	characteristic
1463	#102	C₂²×D₁₇	1	1	yes	characteristic
1464	#102	C₂²×D₁₇	1	1	yes	characteristic
1465	#102	C₂²×D₁₇	1	1	yes	characteristic
1466	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1467	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1468	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1469	C₂²⋊C₈	—	17	1	no	—
1470	C₂²⋊C₈	—	17	1	no	—
1471	C₂²⋊C₈	—	17	1	no	—
1472	C₂²⋊C₈	—	17	1	no	—
1473	C₂²⋊C₈	—	17	1	no	—
1474	C₂²⋊C₈	—	17	1	no	—
1475	C₂²⋊C₈	—	17	1	no	—
1476	C₂²⋊C₈	—	17	1	no	—
1477	C₂²⋊C₈	—	17	1	no	—
1478	C₂²⋊C₈	—	17	1	no	—
1479	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1480	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1481	#97	—	17	1	no	—
1482	#97	C₂²×D₁₇	1	1	yes	characteristic, complemented
1483	C₄×C₈	—	17	1	no	—
1484	C₄×C₈	—	17	1	no	—
1485	C₁₇	#61609	1	1	yes	characteristic, complemented, Sylow
1486	C₂⁴	—	2	1	no	—
1487	C₂⁴	—	2	1	no	—
1488	C₂⁴	—	17	1	no	—
1489	C₂⁴	—	34	1	no	—
1490	C₂⁴	—	34	1	no	—
1491	C₂⁴	—	34	1	no	—
1492	C₂⁴	—	34	1	no	—
1493	C₂⁴	—	34	1	no	—
1494	C₂⁴	—	34	1	no	—
1495	C₂⁴	—	34	1	no	—
1496	C₂⁴	—	34	1	no	—
1497	C₂⁴	—	68	4	no	—
1498	C₂⁴	—	136	2	no	—
1499	C₂⁴	—	136	2	no	—
1500	#41	—	34	2	no	—
1501	#41	—	34	2	no	—
1502	#41	—	68	1	no	—
1503	#41	—	68	1	no	—
1504	#41	—	68	1	no	—
1505	#41	—	68	1	no	—
1506	#41	—	68	1	no	—
1507	#41	—	68	1	no	—
1508	#41	—	68	1	no	—
1509	#41	—	68	1	no	—
1510	#41	—	68	1	no	—
1511	#41	—	68	1	no	—
1512	#41	—	68	4	no	—
1513	#41	—	136	2	no	—
1514	C₂×Q₈	—	17	1	no	—
1515	C₂×Q₈	—	17	1	no	—
1516	C₂×Q₈	—	34	1	no	—
1517	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1518	C₂×D₄	—	2	2	no	—
1519	C₂×D₄	—	2	2	no	—
1520	C₂×D₄	—	2	1	no	—
1521	C₂×D₄	—	2	1	no	—
1522	C₂×D₄	—	2	1	no	—
1523	C₂×D₄	—	2	1	no	—
1524	C₂×D₄	—	2	1	no	—
1525	C₂×D₄	—	2	1	no	—
1526	C₂×D₄	—	4	1	no	—
1527	C₂×D₄	—	4	1	no	—
1528	C₂×D₄	—	8	2	no	—
1529	C₂×D₄	—	17	1	no	—
1530	C₂×D₄	—	17	1	no	—
1531	C₂×D₄	—	17	1	no	—
1532	C₂×D₄	—	17	1	no	—
1533	C₂×D₄	—	17	1	no	—
1534	C₂×D₄	—	17	1	no	—
1535	C₂×D₄	—	17	1	no	—
1536	C₂×D₄	—	17	1	no	—
1537	C₂×D₄	—	17	1	no	—
1538	C₂×D₄	—	17	1	no	—
1539	C₂×D₄	—	17	1	no	—
1540	C₂×D₄	—	34	2	no	—
1541	C₂×D₄	—	34	1	no	—
1542	C₂×D₄	—	34	1	no	—
1543	C₂×D₄	—	34	1	no	—
1544	C₂×D₄	—	34	1	no	—
1545	C₂×D₄	—	34	1	no	—
1546	C₂×D₄	—	34	1	no	—
1547	C₂×D₄	—	34	1	no	—
1548	C₂×D₄	—	34	1	no	—
1549	C₂×D₄	—	34	1	no	—
1550	C₂×D₄	—	34	1	no	—
1551	C₂×D₄	—	34	1	no	—
1552	C₂×D₄	—	34	1	no	—
1553	C₂×D₄	—	34	1	no	—
1554	C₂×D₄	—	34	1	no	—
1555	C₂×D₄	—	34	1	no	—
1556	C₂×D₄	—	34	1	no	—
1557	C₂×D₄	—	34	1	no	—
1558	C₂×D₄	—	34	2	no	—
1559	C₂×D₄	—	34	2	no	—
1560	C₂×D₄	—	34	2	no	—
1561	C₂×D₄	—	34	2	no	—
1562	C₂×D₄	—	34	2	no	—
1563	C₂×D₄	—	34	1	no	—
1564	C₂×D₄	—	34	1	no	—
1565	C₂×D₄	—	34	1	no	—
1566	C₂×D₄	—	34	1	no	—
1567	C₂×D₄	—	34	1	no	—
1568	C₂×D₄	—	34	1	no	—
1569	C₂×D₄	—	34	1	no	—
1570	C₂×D₄	—	34	1	no	—
1571	C₂×D₄	—	34	1	no	—
1572	C₂×D₄	—	34	1	no	—
1573	C₂×D₄	—	34	1	no	—
1574	C₂×D₄	—	34	1	no	—
1575	C₂×D₄	—	34	1	no	—
1576	C₂×D₄	—	68	1	no	—
1577	C₂×D₄	—	68	1	no	—
1578	C₂×D₄	—	68	1	no	—
1579	C₂×D₄	—	68	1	no	—
1580	C₂×D₄	—	68	1	no	—
1581	C₂×D₄	—	68	1	no	—
1582	C₂×D₄	—	68	1	no	—
1583	C₂×D₄	—	68	1	no	—
1584	C₂×D₄	—	68	1	no	—
1585	C₂×D₄	—	68	1	no	—
1586	C₂×D₄	—	68	4	no	—
1587	C₂×D₄	—	68	4	no	—
1588	C₂×D₄	—	68	4	no	—
1589	C₂×D₄	—	68	4	no	—
1590	C₂×D₄	—	68	4	no	—
1591	C₂×D₄	—	68	4	no	—
1592	C₂×D₄	—	136	2	no	—
1593	C₂×D₄	—	136	2	no	—
1594	C₂×D₄	—	136	2	no	—
1595	C₂×D₄	—	136	2	no	—
1596	C₂×D₄	—	136	2	no	—
1597	C₂×D₄	D₄×D₁₇	1	1	yes	characteristic
1598	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1599	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1600	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1601	C₂²×C₄	—	2	1	no	—
1602	C₂²×C₄	—	2	1	no	—
1603	C₂²×C₄	—	17	1	no	—
1604	C₂²×C₄	—	17	1	no	—
1605	C₂²×C₄	—	17	1	no	—
1606	C₂²×C₄	—	17	1	no	—
1607	C₂²×C₄	—	17	1	no	—
1608	C₂²×C₄	—	17	1	no	—
1609	C₂²×C₄	—	34	1	no	—
1610	C₂²×C₄	—	34	1	no	—
1611	C₂²×C₄	—	34	1	no	—
1612	C₂²×C₄	—	34	1	no	—
1613	C₂²×C₄	—	34	1	no	—
1614	C₂²×C₄	—	34	1	no	—
1615	C₂²×C₄	—	34	1	no	—
1616	C₂²×C₄	—	34	1	no	—
1617	C₂²×C₄	—	34	1	no	—
1618	C₂²×C₄	—	34	1	no	—
1619	C₂²×C₄	—	34	1	no	—
1620	C₂²×C₄	—	34	1	no	—
1621	C₂²×C₄	—	68	1	no	—
1622	C₂²×C₄	—	68	1	no	—
1623	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1624	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1625	Q₁₆	—	68	1	no	—
1626	SD₁₆	—	2	2	no	—
1627	SD₁₆	—	4	1	no	—
1628	SD₁₆	—	4	1	no	—
1629	SD₁₆	—	34	2	no	—
1630	SD₁₆	—	68	1	no	—
1631	SD₁₆	—	68	1	no	—
1632	SD₁₆	—	68	1	no	—
1633	SD₁₆	—	68	1	no	—
1634	D₈	—	34	2	no	—
1635	D₈	—	34	2	no	—
1636	D₈	—	34	2	no	—
1637	D₈	—	34	2	no	—
1638	D₈	—	34	2	no	—
1639	D₈	—	34	2	no	—
1640	D₈	—	68	1	no	—
1641	D₈	—	68	1	no	—
1642	D₈	—	68	1	no	—
1643	D₈	—	68	1	no	—
1644	D₈	—	68	1	no	—
1645	D₈	—	68	1	no	—
1646	D₈	—	68	1	no	—
1647	D₈	—	68	1	no	—
1648	D₈	—	68	1	no	—
1649	M₁₆	—	4	1	no	—
1650	M₁₆	—	68	1	no	—
1651	M₁₆	—	68	1	no	—
1652	M₁₆	—	68	1	no	—
1653	C₂×C₈	—	4	1	no	—
1654	C₂×C₈	—	17	1	no	—
1655	C₂×C₈	—	17	1	no	—
1656	C₂×C₈	—	17	1	no	—
1657	C₂×C₈	—	17	1	no	—
1658	C₂×C₈	—	68	1	no	—
1659	C₂×C₈	—	68	1	no	—
1660	C₂×C₈	—	68	1	no	—
1661	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1662	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1663	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1664	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1665	C₄⋊C₄	—	2	1	no	—
1666	C₄⋊C₄	—	2	1	no	—
1667	C₄⋊C₄	—	2	1	no	—
1668	C₄⋊C₄	—	2	1	no	—
1669	C₄⋊C₄	—	2	1	no	—
1670	C₄⋊C₄	—	2	1	no	—
1671	C₄⋊C₄	—	17	1	no	—
1672	C₄⋊C₄	—	17	1	no	—
1673	C₄⋊C₄	—	17	1	no	—
1674	C₄⋊C₄	—	17	1	no	—
1675	C₄⋊C₄	—	17	1	no	—
1676	C₄⋊C₄	—	17	1	no	—
1677	C₄⋊C₄	—	17	1	no	—
1678	C₄⋊C₄	—	34	1	no	—
1679	C₄⋊C₄	—	34	1	no	—
1680	C₄⋊C₄	—	34	1	no	—
1681	C₄⋊C₄	—	34	1	no	—
1682	C₄⋊C₄	—	34	1	no	—
1683	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1684	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1685	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1686	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1687	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	—	2	1	no	—
1691	C₂²⋊C₄	—	2	1	no	—
1692	C₂²⋊C₄	—	2	1	no	—
1693	C₂²⋊C₄	—	2	1	no	—
1694	C₂²⋊C₄	—	17	1	no	—
1695	C₂²⋊C₄	—	17	1	no	—
1696	C₂²⋊C₄	—	17	1	no	—
1697	C₂²⋊C₄	—	17	1	no	—
1698	C₂²⋊C₄	—	17	1	no	—
1699	C₂²⋊C₄	—	17	1	no	—
1700	C₂²⋊C₄	—	17	1	no	—
1701	C₂²⋊C₄	—	17	1	no	—
1702	C₂²⋊C₄	—	34	1	no	—
1703	C₂²⋊C₄	—	34	1	no	—
1704	C₂²⋊C₄	—	34	1	no	—
1705	C₂²⋊C₄	—	34	1	no	—
1706	C₂²⋊C₄	—	34	1	no	—
1707	C₂²⋊C₄	—	34	1	no	—
1708	C₂²⋊C₄	—	34	1	no	—
1709	C₂²⋊C₄	—	34	1	no	—
1710	C₂²⋊C₄	—	34	1	no	—
1711	C₂²⋊C₄	—	34	1	no	—
1712	C₂²⋊C₄	—	34	1	no	—
1713	C₂²⋊C₄	—	34	1	no	—
1714	C₂²⋊C₄	—	34	1	no	—
1715	C₂²⋊C₄	—	34	1	no	—
1716	C₂²⋊C₄	—	34	1	no	—
1717	C₂²⋊C₄	—	34	1	no	—
1718	C₂²⋊C₄	—	34	1	no	—
1719	C₂²⋊C₄	—	34	1	no	—
1720	C₂²⋊C₄	—	34	1	no	—
1721	C₂²⋊C₄	—	34	1	no	—
1722	C₂²⋊C₄	—	34	1	no	—
1723	C₂²⋊C₄	—	34	1	no	—
1724	C₂²⋊C₄	—	34	1	no	—
1725	C₂²⋊C₄	—	34	1	no	—
1726	C₂²⋊C₄	—	34	1	no	—
1727	C₂²⋊C₄	—	34	1	no	—
1728	C₂²⋊C₄	—	34	1	no	—
1729	C₂²⋊C₄	—	34	1	no	—
1730	C₂²⋊C₄	—	34	1	no	—
1731	C₂²⋊C₄	—	34	1	no	—
1732	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1733	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1734	C₄²	—	2	1	no	—
1735	C₄²	—	2	1	no	—
1736	C₄²	—	17	1	no	—
1737	C₄²	—	34	1	no	—
1738	C₄²	—	34	1	no	—
1739	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1740	C₂³	—	2	1	no	—
1741	C₂³	—	2	1	no	—
1742	C₂³	—	2	1	no	—
1743	C₂³	—	4	2	no	—
1744	C₂³	—	4	2	no	—
1745	C₂³	—	4	2	no	—
1746	C₂³	—	8	1	no	—
1747	C₂³	—	8	1	no	—
1748	C₂³	—	8	1	no	—
1749	C₂³	—	17	1	no	—
1750	C₂³	—	17	1	no	—
1751	C₂³	—	17	1	no	—
1752	C₂³	—	34	4	no	—
1753	C₂³	—	34	2	no	—
1754	C₂³	—	34	1	no	—
1755	C₂³	—	34	1	no	—
1756	C₂³	—	34	1	no	—
1757	C₂³	—	34	1	no	—
1758	C₂³	—	34	1	no	—
1759	C₂³	—	68	1	no	—
1760	C₂³	—	68	1	no	—
1761	C₂³	—	68	2	no	—
1762	C₂³	—	68	2	no	—
1763	C₂³	—	68	2	no	—
1764	C₂³	—	68	2	no	—
1765	C₂³	—	68	2	no	—
1766	C₂³	—	68	2	no	—
1767	C₂³	—	68	2	no	—
1768	C₂³	—	68	2	no	—
1769	C₂³	—	68	2	no	—
1770	C₂³	—	136	1	no	—
1771	C₂³	—	136	1	no	—
1772	C₂³	—	136	1	no	—
1773	C₂³	—	136	1	no	—
1774	C₂³	—	136	1	no	—
1775	C₂³	—	136	1	no	—
1776	C₂³	—	136	1	no	—
1777	C₂³	—	136	1	no	—
1778	C₂³	—	136	1	no	—
1779	C₂³	—	136	1	no	—
1780	C₂³	—	136	1	no	—
1781	C₂³	—	136	1	no	—
1782	C₂³	—	136	1	no	—
1783	C₂³	—	136	1	no	—
1784	C₂³	—	136	16	no	—
1785	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1786	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1787	Q₈	—	2	1	no	—
1788	Q₈	—	2	1	no	—
1789	Q₈	—	34	1	no	—
1790	Q₈	—	34	1	no	—
1791	Q₈	—	68	1	no	—
1792	Q₈	—	136	1	no	—
1793	D₄	—	2	2	no	—
1794	D₄	—	2	1	no	—
1795	D₄	—	2	1	no	—
1796	D₄	—	2	1	no	—
1797	D₄	—	2	1	no	—
1798	D₄	—	2	1	no	—
1799	D₄	—	4	2	no	—
1800	D₄	—	4	2	no	—
1801	D₄	—	4	2	no	—
1802	D₄	—	8	1	no	—
1803	D₄	—	8	1	no	—
1804	D₄	—	8	1	no	—
1805	D₄	—	17	2	no	—
1806	D₄	—	34	4	no	—
1807	D₄	—	34	2	no	—
1808	D₄	—	34	1	no	—
1809	D₄	—	34	1	no	—
1810	D₄	—	34	1	no	—
1811	D₄	—	34	1	no	—
1812	D₄	—	34	1	no	—
1813	D₄	—	34	1	no	—
1814	D₄	—	34	1	no	—
1815	D₄	—	34	1	no	—
1816	D₄	—	34	1	no	—
1817	D₄	—	68	1	no	—
1818	D₄	—	68	1	no	—
1819	D₄	—	68	2	no	—
1820	D₄	—	68	1	no	—
1821	D₄	—	68	1	no	—
1822	D₄	—	68	1	no	—
1823	D₄	—	68	2	no	—
1824	D₄	—	68	2	no	—
1825	D₄	—	68	2	no	—
1826	D₄	—	68	2	no	—
1827	D₄	—	68	2	no	—
1828	D₄	—	68	2	no	—
1829	D₄	—	68	2	no	—
1830	D₄	—	68	2	no	—
1831	D₄	—	68	2	no	—
1832	D₄	—	136	1	no	—
1833	D₄	—	136	1	no	—
1834	D₄	—	136	1	no	—
1835	D₄	—	136	1	no	—
1836	D₄	—	136	1	no	—
1837	D₄	—	136	1	no	—
1838	D₄	—	136	1	no	—
1839	D₄	—	136	1	no	—
1840	D₄	—	136	1	no	—
1841	D₄	—	136	1	no	—
1842	D₄	—	136	1	no	—
1843	D₄	—	136	1	no	—
1844	D₄	—	136	1	no	—
1845	D₄	—	136	1	no	—
1846	D₄	—	136	1	no	—
1847	D₄	—	136	1	no	—
1848	D₄	—	136	1	no	—
1849	D₄	—	136	1	no	—
1850	D₄	—	136	1	no	—
1851	D₄	#10587696	1	2	yes	—
1852	C₂×C₄	—	2	1	no	—
1853	C₂×C₄	—	2	1	no	—
1854	C₂×C₄	—	2	1	no	—
1855	C₂×C₄	—	2	1	no	—
1856	C₂×C₄	—	2	1	no	—
1857	C₂×C₄	—	2	1	no	—
1858	C₂×C₄	—	2	1	no	—
1859	C₂×C₄	—	2	1	no	—
1860	C₂×C₄	—	2	1	no	—
1861	C₂×C₄	—	4	2	no	—
1862	C₂×C₄	—	8	1	no	—
1863	C₂×C₄	—	17	1	no	—
1864	C₂×C₄	—	17	1	no	—
1865	C₂×C₄	—	17	1	no	—
1866	C₂×C₄	—	17	1	no	—
1867	C₂×C₄	—	17	1	no	—
1868	C₂×C₄	—	34	1	no	—
1869	C₂×C₄	—	34	1	no	—
1870	C₂×C₄	—	34	1	no	—
1871	C₂×C₄	—	34	1	no	—
1872	C₂×C₄	—	34	1	no	—
1873	C₂×C₄	—	34	1	no	—
1874	C₂×C₄	—	34	1	no	—
1875	C₂×C₄	—	34	1	no	—
1876	C₂×C₄	—	34	1	no	—
1877	C₂×C₄	—	68	1	no	—
1878	C₂×C₄	—	68	1	no	—
1879	C₂×C₄	—	68	2	no	—
1880	C₂×C₄	—	68	1	no	—
1881	C₂×C₄	—	68	2	no	—
1882	C₂×C₄	—	68	2	no	—
1883	C₂×C₄	—	136	1	no	—
1884	C₂×C₄	—	136	1	no	—
1885	C₂×C₄	—	136	1	no	—
1886	C₂×C₄	—	136	1	no	—
1887	C₂×C₄	—	136	1	no	—
1888	C₂×C₄	—	136	1	no	—
1889	C₂×C₄	—	136	1	no	—
1890	C₂×C₄	—	136	1	no	—
1891	C₂×C₄	—	136	1	no	—
1892	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1893	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1894	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1895	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1896	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1897	C₈	—	2	1	no	—
1898	C₈	—	2	1	no	—
1899	C₈	—	2	1	no	—
1900	C₈	—	2	1	no	—
1901	C₈	—	34	1	no	—
1902	C₈	—	34	1	no	—
1903	C₈	—	34	1	no	—
1904	C₈	—	34	1	no	—
1905	C₂²	—	2	1	no	—
1906	C₂²	—	2	1	no	—
1907	C₂²	—	2	1	no	—
1908	C₂²	—	2	2	no	—
1909	C₂²	—	2	1	no	—
1910	C₂²	—	2	1	no	—
1911	C₂²	—	4	1	no	—
1912	C₂²	—	4	1	no	—
1913	C₂²	—	4	1	no	—
1914	C₂²	—	4	1	no	—
1915	C₂²	—	4	1	no	—
1916	C₂²	—	4	1	no	—
1917	C₂²	—	4	1	no	—
1918	C₂²	—	4	1	no	—
1919	C₂²	—	8	4	no	—
1920	C₂²	—	16	2	no	—
1921	C₂²	—	272	2	no	—
1922	C₂²	—	272	2	no	—
1923	C₂²	—	272	2	no	—
1924	C₂²	—	34	1	no	—
1925	C₂²	—	34	1	no	—
1926	C₂²	—	34	1	no	—
1927	C₂²	—	34	2	no	—
1928	C₂²	—	34	1	no	—
1929	C₂²	—	34	1	no	—
1930	C₂²	—	34	1	no	—
1931	C₂²	—	34	1	no	—
1932	C₂²	—	34	1	no	—
1933	C₂²	—	34	1	no	—
1934	C₂²	—	68	4	no	—
1935	C₂²	—	68	1	no	—
1936	C₂²	—	68	1	no	—
1937	C₂²	—	68	1	no	—
1938	C₂²	—	68	1	no	—
1939	C₂²	—	68	1	no	—
1940	C₂²	—	68	1	no	—
1941	C₂²	—	68	1	no	—
1942	C₂²	—	68	1	no	—
1943	C₂²	—	68	1	no	—
1944	C₂²	—	68	1	no	—
1945	C₂²	—	68	1	no	—
1946	C₂²	—	68	1	no	—
1947	C₂²	—	68	1	no	—
1948	C₂²	—	68	1	no	—
1949	C₂²	—	136	4	no	—
1950	C₂²	—	136	4	no	—
1951	C₂²	—	136	4	no	—
1952	C₂²	—	136	4	no	—
1953	C₂²	—	136	4	no	—
1954	C₂²	#11763613	1	2	yes	—
1955	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1956	C₄	—	2	1	no	—
1957	C₄	—	2	1	no	—
1958	C₄	—	2	1	no	—
1959	C₄	—	2	1	no	—
1960	C₄	—	4	1	no	—
1961	C₄	—	4	1	no	—
1962	C₄	—	4	1	no	—
1963	C₄	—	4	1	no	—
1964	C₄	—	4	1	no	—
1965	C₄	—	34	1	no	—
1966	C₄	—	34	1	no	—
1967	C₄	—	34	1	no	—
1968	C₄	—	34	1	no	—
1969	C₄	—	34	1	no	—
1970	C₄	—	68	1	no	—
1971	C₄	—	68	1	no	—
1972	C₄	—	68	1	no	—
1973	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1974	C₄	C₂×#10587696	1	1	yes	characteristic
1975	C₂	—	2	2	no	—
1976	C₂	—	4	1	no	—
1977	C₂	—	4	2	no	—
1978	C₂	—	8	1	no	—
1979	C₂	—	8	1	no	—
1980	C₂	—	68	1	no	—
1981	C₂	—	68	2	no	—
1982	C₂	—	68	1	no	—
1983	C₂	—	68	1	no	—
1984	C₂	—	136	1	no	—
1985	C₂	—	136	1	no	—
1986	C₂	—	136	1	no	—
1987	C₂	—	136	1	no	—
1988	C₂	#14542414	1	1	yes	characteristic
1989	C₂	C₂×#11763613	1	1	yes	characteristic
1990	C₂	#14543562	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₇
Fitting	C₁₇×#3310	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3310	D₁₇
hypocenter	C₁₇	#61609
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3310

Complements

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

N	H ≅ G/N	type
1. #14543094	C₂	semidirect
2. #14542412	C₂	semidirect
3. #14541022	C₂	semidirect
4. #14540982	C₂	semidirect
5. #14540938	C₂	semidirect
6. #14540924	C₂	semidirect
7. #14540741	C₂	semidirect
8. #14540613	C₂	semidirect
9. #14540595	C₂	semidirect
10. #14540462	C₂	semidirect
11. D₄×#63228	C₂	semidirect
12. #14540399	C₂	semidirect
13. #14540392	C₂	semidirect
14. #14540326	C₂	semidirect
15. #14540269	C₂	semidirect
16. #14540268	C₂	semidirect
17. #14540261	C₂	semidirect
18. #14539883	C₂	semidirect
19. #14539835	C₂	semidirect
20. #14539648	C₂	semidirect
21. #14539637	C₂	semidirect
22. #14539597	C₂	semidirect
23. #14539573	C₂	semidirect
24. #14539029	C₂	semidirect
25. #14538972	C₂	semidirect
26. #14538089	C₂	semidirect
27. #14538053	C₂	semidirect
28. #14538012	C₂	semidirect
29. C₂×#11762944	C₂	semidirect
30. #14537833	C₂	semidirect
31. C₁₇×#3310	C₂	semidirect
32. C₂×#10587691	C₂²	semidirect
33. C₂²×D₄×D₁₇	C₂²	semidirect
34. C₂×#10587594	C₂²	semidirect
35. C₂×#10587600	C₂²	semidirect
36. C₂×#10587600	C₂²	semidirect
37. C₂×#10587600	C₂²	semidirect
38. C₂×#10587602	C₂²	semidirect
39. C₂²×D₁₃₆	C₂²	semidirect
40. C₂²×#63228	C₂²	semidirect
41. C₂²×#63228	C₂²	semidirect
44. #11763522	C₂²	semidirect
45. #11763512	C₂²	semidirect
47. #11763481	C₂²	semidirect
48. #11763460	C₂²	semidirect
49. #11763456	C₂²	semidirect
51. #11763454	C₂²	semidirect
52. #11763453	C₂²	semidirect
54. #11763450	C₂²	semidirect
55. #11763450	C₂²	semidirect
58. D₄×D₆₈	C₂²	semidirect
59. #11763444	C₂²	semidirect
60. #11763443	C₂²	semidirect
62. D₄×C₂²⋊D₁₇	C₂²	semidirect
64. #11763431	C₂²	semidirect
66. #11763415	C₂²	semidirect
68. #11763389	C₂²	semidirect
70. #11763378	C₂²	semidirect
71. #11763375	C₂²	semidirect
72. #11763372	C₂²	semidirect
76. #11763322	C₂²	semidirect
77. #11763319	C₂²	semidirect
79. C₂×#10587581	C₂²	semidirect
82. #11763281	C₂²	semidirect
83. #11763198	C₂²	semidirect
84. #11763195	C₂²	semidirect
85. #11763190	C₂²	semidirect
86. #11763185	C₂²	semidirect
87. #11763167	C₂²	semidirect
88. #11763166	C₂²	semidirect
89. #11763154	C₂²	semidirect
90. #11763153	C₂²	semidirect
91. #11763148	C₂²	semidirect
92. #11763139	C₂²	semidirect
93. #11763136	C₂²	semidirect
94. #11763136	C₂²	semidirect
95. #11763135	C₂²	semidirect
96. #11763133	C₂²	semidirect
97. #11763132	C₂²	semidirect
98. #11763126	C₂²	semidirect
99. #11763124	C₂²	semidirect
100. #11763106	C₂²	semidirect
101. #11763097	C₂²	semidirect
102. #11763088	C₂²	semidirect
103. #11763063	C₂²	semidirect
104. #11763062	C₂²	semidirect
105. #11763061	C₂²	semidirect
106. #11763061	C₂²	semidirect
107. #11763061	C₂²	semidirect
108. #11763056	C₂²	semidirect
109. #11763056	C₂²	semidirect
110. #11763048	C₂²	semidirect
111. #11763046	C₂²	semidirect
112. #11763044	C₂²	semidirect
113. #11763043	C₂²	semidirect
114. #11763043	C₂²	semidirect
115. #11763040	C₂²	semidirect
116. #11763038	C₂²	semidirect
117. #11763031	C₂²	semidirect
118. #11763027	C₂²	semidirect
119. #11763026	C₂²	semidirect
120. #11763025	C₂²	semidirect
121. #11763023	C₂²	semidirect
122. #11763023	C₂²	semidirect
123. #11763005	C₂²	semidirect
124. #11763004	C₂²	semidirect
125. #11763003	C₂²	semidirect
126. #11763003	C₂²	semidirect
127. #11763001	C₂²	semidirect
128. #11762974	C₂²	semidirect
129. #11762969	C₂²	semidirect
130. #11762968	C₂²	semidirect
131. #11762962	C₂²	semidirect
132. #11762959	C₂²	semidirect
133. #11762958	C₂²	semidirect
134. #11762958	C₂²	semidirect
135. #11762957	C₂²	semidirect
136. #11762956	C₂²	semidirect
137. #11762955	C₂²	semidirect
138. #11762955	C₂²	semidirect
139. #11762955	C₂²	semidirect
140. #11762955	C₂²	semidirect
141. #11762955	C₂²	semidirect
142. #11762953	C₂²	semidirect
143. #11762953	C₂²	semidirect
144. #11762945	C₂²	semidirect
145. #11762945	C₂²	semidirect
147. #11762944	C₂²	semidirect
148. #11762944	C₂²	semidirect
149. #11762944	C₂²	semidirect
150. #11762944	C₂²	semidirect
151. #11762944	C₂²	semidirect
152. #11762944	C₂²	semidirect
153. #11762944	C₂²	semidirect
154. #11762944	C₂²	semidirect
155. #11762944	C₂²	semidirect
156. #11762944	C₂²	semidirect
157. #11762944	C₂²	semidirect
158. #11762943	C₂²	semidirect
159. #11762943	C₂²	semidirect
160. #11762942	C₂²	semidirect
161. #11762942	C₂²	semidirect
162. #11762922	C₂²	semidirect
163. #11762920	C₂²	semidirect
164. #11762918	C₂²	semidirect
165. C₄×#63230	C₂²	semidirect
166. #11762891	C₂²	semidirect
167. C₄×#63228	C₂²	semidirect
168. #11762889	C₂²	semidirect
169. #11762886	C₂²	semidirect
170. #11762885	C₂²	semidirect
171. #11762882	C₂²	semidirect
172. #11762880	C₂²	semidirect
173. #11762877	C₂²	semidirect
174. D₄×#3622	C₂²	semidirect
175. #11762872	C₂²	semidirect
176. #11762871	C₂²	semidirect
177. #11762869	C₂²	semidirect
178. #11762812	C₂²	semidirect
179. #11762812	C₂²	semidirect
180. #11762807	C₂²	semidirect
181. #11762803	C₂²	semidirect
182. C₂×#10587480	C₂²	semidirect
183. #102×D₁₇	C₂²	semidirect
184. #11762777	C₂²	semidirect
185. #11762774	C₂²	semidirect
186. #11762771	C₂²	semidirect
187. C₂×#10587491	C₂²	semidirect
188. C₁₇×#552	C₂²	semidirect
190. C₁₇×#490	C₂²	semidirect
191. C₁₇×#482	C₂²	semidirect
192. C₁₇×#480	C₂²	semidirect
193. C₁₇×#478	C₂²	semidirect
194. C₁₇×#468	C₂²	semidirect
195. C₁₇×#465	C₂²	semidirect
196. C₁₇×#460	C₂²	semidirect
197. C₁₇×#450	C₂²	semidirect
198. C₁₇×#450	C₂²	semidirect
199. C₁₇×#440	C₂²	semidirect
200. C₁₇×#435	C₂²	semidirect
201. C₁₇×#418	C₂²	semidirect
202. C₂×C₁₇×#102	C₂²	semidirect
212. C₂×#63256	C₂³	semidirect
237. C₂²×D₆₈	C₂³	semidirect
241. C₂×SD₁₆×C₁₇	C₂³	semidirect
242. C₂×M₁₆×C₁₇	C₂³	semidirect
247. C₁₇×#125	C₂³	semidirect
250. C₁₇×C₂²⋊Q₈	C₂³	semidirect
256. C₄×Q₈×C₁₇	C₂³	semidirect
260. C₁₇×#117	C₂³	semidirect
265. #10587633	C₂³	semidirect
267. C₂×#63231	C₂³	semidirect
304. C₂×#63228	C₂³	semidirect
305. C₂×#63228	C₂³	semidirect
306. C₂×#63228	C₂³	semidirect
310. #10587616	C₂³	semidirect
320. C₂²×#3622	C₂³	semidirect
333. C₂×#63219	C₂³	semidirect
334. C₂×#63219	C₂³	semidirect
335. C₂×#63219	C₂³	semidirect
338. C₂×#63218	C₂³	semidirect
339. C₂×C₈×D₁₇	C₂³	semidirect
363. #10587581	C₂³	semidirect
364. #10587581	C₂³	semidirect
378. #10587579	C₂³	semidirect
379. #10587579	C₂³	semidirect
382. C₄⋊C₄×D₁₇	C₂³	semidirect
383. #10587574	C₂³	semidirect
423. #10587560	C₂³	semidirect
427. C₄×D₆₈	C₂³	semidirect
430. C₁₇×#107	C₂³	semidirect
431. C₁₇×#107	C₂³	semidirect
432. C₁₇×#106	C₂³	semidirect
433. C₁₇×C₄⋊C₈	C₂³	semidirect
434. C₁₇×#103	C₂³	semidirect
441. C₁₇×#102	C₂³	semidirect
442. C₁₇×#102	C₂³	semidirect
443. C₁₇×#102	C₂³	semidirect
445. C₁₇×C₂²⋊C₈	C₂³	semidirect
446. C₁₇×#97	C₂³	semidirect
447. #10587506	C₂³	semidirect
450. #10587503	C₂³	semidirect
452. C₂²⋊#3622	C₂³	semidirect
455. #10587492	C₂³	semidirect
456. #10587492	C₂³	semidirect
457. #10587492	C₂³	semidirect
464. #10587491	C₂³	semidirect
465. #10587491	C₂³	semidirect
466. #10587488	C₂³	semidirect
467. #10587487	C₂³	semidirect
468. #10587486	C₂³	semidirect
469. #10587485	C₂³	semidirect
470. #10587485	C₂³	semidirect
471. C₈×Dic₁₇	C₂³	semidirect
472. #10587481	C₂³	semidirect
473. #10587481	C₂³	semidirect
474. #10587481	C₂³	semidirect
481. #10587480	C₂³	semidirect
482. #10587480	C₂³	semidirect
483. #10587480	C₂³	semidirect
484. #10587479	C₂³	semidirect
485. #10587479	C₂³	semidirect
486. #10587478	C₂³	semidirect
487. #10587478	C₂³	semidirect
488. C₄⋊#3622	C₂³	semidirect
489. C₄×#3622	C₂³	semidirect
916. #3310	D₁₇	semidirect
1025. #552	C₂×D₁₇	semidirect
1068. #490	C₂×D₁₇	semidirect
1080. #482	C₂×D₁₇	semidirect
1083. #480	C₂×D₁₇	semidirect
1085. #478	C₂×D₁₇	semidirect
1095. #468	C₂×D₁₇	semidirect
1103. #465	C₂×D₁₇	semidirect
1110. #460	C₂×D₁₇	semidirect
1123. #450	C₂×D₁₇	semidirect
1124. #450	C₂×D₁₇	semidirect
1155. #440	C₂×D₁₇	semidirect
1165. #435	C₂×D₁₇	semidirect
1172. #418	C₂×D₁₇	semidirect
1177. C₂×#102	C₂×D₁₇	semidirect
1247. C₂×SD₁₆	C₂²×D₁₇	semidirect
1269. C₂×M₁₆	C₂²×D₁₇	semidirect
1285. #125	C₂²×D₁₇	semidirect
1320. C₂²⋊Q₈	C₂²×D₁₇	semidirect
1388. C₄×Q₈	C₂²×D₁₇	semidirect
1413. #117	C₂²×D₁₇	semidirect
1427. #107	C₂²×D₁₇	semidirect
1428. #107	C₂²×D₁₇	semidirect
1432. #106	C₂²×D₁₇	semidirect
1436. C₄⋊C₈	C₂²×D₁₇	semidirect
1442. #103	C₂²×D₁₇	semidirect
1466. #102	C₂²×D₁₇	semidirect
1467. #102	C₂²×D₁₇	semidirect
1468. #102	C₂²×D₁₇	semidirect
1480. C₂²⋊C₈	C₂²×D₁₇	semidirect
1482. #97	C₂²×D₁₇	semidirect
1485. C₁₇	#61609	semidirect

Maximal subgroups

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

subgroup	index
#14543094	2
#14542412	2
#14541022	2
#14540982	2
#14540938	2
#14540924	2
#14540741	2
#14540613	2
#14540595	2
#14540462	2
D₄×#63228	2
#14540399	2
#14540392	2
#14540326	2
#14540269	2
#14540268	2
#14540261	2
#14539883	2
#14539835	2
#14539648	2
#14539637	2
#14539597	2
#14539573	2
#14539029	2
#14538972	2
#14538089	2
#14538053	2
#14538012	2
C₂×#11762944	2
#14537833	2
C₁₇×#3310	2
#61609	17