Subgroups — #17919155

Order 4352.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542581	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₇×#546	C₂	1	1	yes	maximal, characteristic
3	#14540868	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540866	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540864	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540863	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540862	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540861	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540859	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540301	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540299	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540298	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540296	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540292	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540291	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540290	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540289	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539788	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539785	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539592	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539585	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539558	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539555	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538885	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538881	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538045	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538041	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11762961	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537809	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3314	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₇	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic
34	C₂×#10587595	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587604	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10587637	C₂²	1	1	yes	characteristic, complemented
37	C₂×#10587601	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#63219	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#63229	C₂²	1	1	yes	characteristic, complemented
40	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
41	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
42	#11763520	C₂²	1	1	yes	characteristic, complemented
43	#11763517	—	2	1	no	—
44	#11763517	—	2	1	no	—
45	#11763516	—	2	1	no	—
46	#11763515	—	2	1	no	—
47	#11763514	C₂²	1	1	yes	characteristic, complemented
48	#11763514	C₂²	1	1	yes	characteristic, complemented
49	Q₈×D₆₈	C₂²	1	1	yes	characteristic, complemented
50	D₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
51	#11763472	C₂²	1	1	yes	characteristic, complemented
52	#11763472	C₂²	1	1	yes	characteristic, complemented
53	#11763456	C₂²	1	1	yes	characteristic
54	#11763455	C₂²	1	1	yes	characteristic
55	#11763454	C₂²	1	1	yes	characteristic
56	#11763453	C₂²	1	1	yes	characteristic
57	#11763452	C₂²	1	1	yes	characteristic
58	#11763451	—	2	1	no	—
59	#11763450	C₂²	1	1	yes	characteristic
60	#11763449	—	2	1	no	—
61	#11763448	—	2	1	no	—
62	#11763447	C₂²	1	1	yes	characteristic
63	#11763446	—	2	1	no	—
64	#11763439	—	2	1	no	—
65	#11763434	—	2	1	no	—
66	#11763434	—	2	1	no	—
67	#11763364	C₂²	1	1	yes	characteristic, complemented
68	#11763363	C₂²	1	1	yes	characteristic, complemented
69	#124×D₁₇	C₂²	1	1	yes	characteristic
70	#123×D₁₇	—	2	1	no	—
71	C₂×#10587583	C₂²	1	1	yes	characteristic
72	C₂×#10587583	C₂²	1	1	yes	characteristic, complemented
73	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic
74	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic
75	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
76	#121×D₁₇	—	2	1	no	—
77	#121×D₁₇	C₂²	1	1	yes	characteristic
78	#120×D₁₇	—	2	1	no	—
79	#11763281	—	2	1	no	—
80	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
81	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
82	C₂×C₂²⋊C₄×D₁₇	—	2	1	no	—
83	#11763204	C₂²	1	1	yes	characteristic, complemented
84	#11763203	C₂²	1	1	yes	characteristic, complemented
85	#11763202	C₂²	1	1	yes	characteristic, complemented
86	#11763200	C₂²	1	1	yes	characteristic, complemented
87	#11763171	C₂²	1	1	yes	characteristic, complemented
88	#11763170	C₂²	1	1	yes	characteristic, complemented
89	#11763167	C₂²	1	1	yes	characteristic, complemented
90	#11763146	C₂²	1	1	yes	characteristic, complemented
91	#11763146	C₂²	1	1	yes	characteristic, complemented
92	#11763146	C₂²	1	1	yes	characteristic, complemented
93	#11763146	C₂²	1	1	yes	characteristic, complemented
94	#11763144	C₂²	1	1	yes	characteristic, complemented
95	#11763143	C₂²	1	1	yes	characteristic, complemented
96	#11763143	C₂²	1	1	yes	characteristic, complemented
97	#11763124	C₂²	1	1	yes	characteristic, complemented
98	#11763122	C₂²	1	1	yes	characteristic, complemented
99	#11763121	C₂²	1	1	yes	characteristic, complemented
100	#11763088	C₂²	1	1	yes	characteristic, complemented
101	#11763087	C₂²	1	1	yes	characteristic, complemented
102	#11763086	C₂²	1	1	yes	characteristic, complemented
103	#11763057	C₂²	1	1	yes	characteristic, complemented
104	#11763056	C₂²	1	1	yes	characteristic, complemented
105	#11763056	C₂²	1	1	yes	characteristic, complemented
106	#11763055	C₂²	1	1	yes	characteristic, complemented
107	#11763054	C₂²	1	1	yes	characteristic, complemented
108	#11763054	C₂²	1	1	yes	characteristic, complemented
109	#11763053	C₂²	1	1	yes	characteristic, complemented
110	#11763051	C₂²	1	1	yes	characteristic, complemented
111	#11763051	C₂²	1	1	yes	characteristic, complemented
112	#11763050	C₂²	1	1	yes	characteristic, complemented
113	#11763049	C₂²	1	1	yes	characteristic, complemented
114	#11763049	C₂²	1	1	yes	characteristic, complemented
115	#11763048	C₂²	1	1	yes	characteristic, complemented
116	#11763048	C₂²	1	1	yes	characteristic, complemented
117	#11763034	C₂²	1	1	yes	characteristic, complemented
118	#11763034	C₂²	1	1	yes	characteristic, complemented
119	#11763032	C₂²	1	1	yes	characteristic, complemented
120	#11763031	C₂²	1	1	yes	characteristic, complemented
121	#11763030	C₂²	1	1	yes	characteristic, complemented
122	#11763030	C₂²	1	1	yes	characteristic, complemented
123	#11763028	C₂²	1	1	yes	characteristic, complemented
124	#11763015	C₂²	1	1	yes	characteristic, complemented
125	#11763014	C₂²	1	1	yes	characteristic, complemented
126	#11763013	C₂²	1	1	yes	characteristic, complemented
127	#11763012	C₂²	1	1	yes	characteristic, complemented
128	#11762974	C₂²	1	1	yes	characteristic, complemented
129	#11762974	C₂²	1	1	yes	characteristic, complemented
130	#11762973	C₂²	1	1	yes	characteristic, complemented
131	#11762972	C₂²	1	1	yes	characteristic, complemented
132	#11762972	C₂²	1	1	yes	characteristic, complemented
133	#11762971	C₂²	1	1	yes	characteristic, complemented
134	#11762969	C₂²	1	1	yes	characteristic, complemented
135	#11762967	C₂²	1	1	yes	characteristic, complemented
136	#11762966	C₂²	1	1	yes	characteristic, complemented
137	#11762966	C₂²	1	1	yes	characteristic, complemented
138	#11762966	C₂²	1	1	yes	characteristic, complemented
139	#11762966	C₂²	1	1	yes	characteristic, complemented
140	#11762964	C₂²	1	1	yes	characteristic, complemented
141	#11762963	C₂²	1	1	yes	characteristic, complemented
142	#11762963	C₂²	1	1	yes	characteristic, complemented
143	#11762962	C₂²	1	1	yes	characteristic, complemented
144	#11762961	C₂²	1	1	yes	characteristic
145	#11762961	C₂²	1	1	yes	characteristic
146	#11762961	C₂²	1	1	yes	characteristic
147	#11762961	C₂²	1	1	yes	characteristic
148	#11762961	C₂²	1	1	yes	characteristic
149	#11762961	C₂²	1	1	yes	characteristic
150	#11762961	C₂²	1	1	yes	characteristic, complemented
151	#11762961	C₂²	1	1	yes	characteristic, complemented
152	#11762961	C₂²	1	1	yes	characteristic, complemented
153	#11762961	C₂²	1	1	yes	characteristic, complemented
154	#11762960	C₂²	1	1	yes	characteristic, complemented
155	#11762959	C₂²	1	1	yes	characteristic, complemented
156	#11762958	C₂²	1	1	yes	characteristic
157	#11762958	C₂²	1	1	yes	characteristic
158	#11762950	C₂²	1	1	yes	characteristic, complemented
159	#11762949	C₂²	1	1	yes	characteristic, complemented
160	#11762947	C₂²	1	1	yes	characteristic, complemented
161	#11762946	C₂²	1	1	yes	characteristic, complemented
162	#11762911	C₂²	1	1	yes	characteristic, complemented
163	#11762909	C₂²	1	1	yes	characteristic, complemented
164	#11762908	C₂²	1	1	yes	characteristic, complemented
165	#11762908	C₂²	1	1	yes	characteristic, complemented
166	#11762907	C₂²	1	1	yes	characteristic, complemented
167	#11762906	C₂²	1	1	yes	characteristic, complemented
168	#11762906	C₂²	1	1	yes	characteristic, complemented
169	#11762883	C₂²	1	1	yes	characteristic, complemented
170	#11762882	C₂²	1	1	yes	characteristic, complemented
171	#11762881	C₂²	1	1	yes	characteristic, complemented
172	#11762880	C₂²	1	1	yes	characteristic, complemented
173	#11762879	C₂²	1	1	yes	characteristic, complemented
174	#11762878	C₂²	1	1	yes	characteristic, complemented
175	#11762877	C₂²	1	1	yes	characteristic, complemented
176	#11762865	C₂²	1	1	yes	characteristic, complemented
177	#11762864	C₂²	1	1	yes	characteristic, complemented
178	#11762809	C₂²	1	1	yes	characteristic, complemented
179	#11762808	C₂²	1	1	yes	characteristic, complemented
180	#11762807	C₂²	1	1	yes	characteristic, complemented
181	C₂×#10587480	C₂²	1	1	yes	characteristic, complemented
182	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
183	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
184	#11762772	C₂²	1	1	yes	characteristic, complemented
185	#11762771	C₂²	1	1	yes	characteristic, complemented
186	C₂×#10587491	C₂²	1	1	yes	characteristic
187	C₂²⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
188	C₁₇×#554	C₂²	1	1	yes	characteristic, complemented
189	C₁₇×#546	C₂²	1	1	yes	characteristic
190	C₁₇×#489	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#484	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#480	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#474	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#468	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#467	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#464	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#452	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×#417	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₇	—	2	1	no	—
204	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₇	—	2	1	no	—
207	#41×D₁₇	—	4	2	no	—
208	#41×D₁₇	—	4	2	no	—
209	C₂×#63256	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic, complemented
213	C₂×#63254	—	2	1	no	—
214	C₂×#63254	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₇	—	2	1	no	—
216	C₂×D₄×D₁₇	—	2	1	no	—
217	C₂×D₄×D₁₇	—	2	1	no	—
218	C₂×D₄×D₁₇	—	2	1	no	—
219	C₂×D₄×D₁₇	—	4	2	no	—
220	C₂×D₄×D₁₇	—	4	2	no	—
221	C₂×D₄×D₁₇	D₄	1	1	yes	characteristic
222	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
226	C₂×#63252	—	2	1	no	—
227	C₂×#63252	C₂³	1	1	yes	characteristic
228	C₂²×D₆₈	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₁₇	—	2	1	no	—
230	C₂²×C₄×D₁₇	—	2	1	no	—
231	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
233	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
234	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic, complemented
235	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
236	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
238	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
239	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
240	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
241	C₁₇×#125	—	2	1	no	—
242	C₁₇×#124	C₂³	1	1	yes	characteristic
243	C₁₇×#123	—	2	1	no	—
244	C₁₇×C₂²⋊Q₈	—	2	1	no	—
245	C₁₇×C₂²⋊Q₈	—	2	1	no	—
246	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
249	C₁₇×#121	—	2	1	no	—
250	C₁₇×#121	C₂³	1	1	yes	characteristic
251	C₁₇×#120	—	2	1	no	—
252	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
253	C₄×D₄×C₁₇	—	2	1	no	—
254	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic, complemented
258	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
259	#10587639	—	2	1	no	—
260	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
261	#10587637	—	4	2	no	—
262	#10587633	C₂³	1	1	yes	characteristic
263	#10587632	—	2	1	no	—
264	#10587632	—	2	1	no	—
265	#10587632	—	2	1	no	—
266	#10587632	C₂³	1	1	yes	characteristic
267	#10587632	C₂³	1	1	yes	characteristic
268	Q₈×Dic₁₇	—	2	1	no	—
269	#10587630	C₂³	1	1	yes	characteristic, complemented
270	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
271	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
272	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
273	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
274	C₂×#63230	C₂³	1	1	yes	characteristic
275	C₂×#63230	C₂³	1	1	yes	characteristic
276	#10587625	—	2	1	no	—
277	#10587625	—	2	1	no	—
278	#10587625	—	2	1	no	—
279	#10587624	—	2	1	no	—
280	#10587624	C₂³	1	1	yes	characteristic
281	#10587623	—	2	1	no	—
282	#10587623	—	2	1	no	—
283	#10587623	—	2	1	no	—
284	#10587622	C₂³	1	1	yes	characteristic
285	#10587621	—	2	1	no	—
286	D₄×Dic₁₇	—	2	1	no	—
287	D₄×Dic₁₇	D₄	1	1	yes	characteristic
288	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
289	C₂×#63229	—	4	2	no	—
290	C₂×#63229	C₂³	1	1	yes	characteristic
291	C₂×#63229	C₂³	1	1	yes	characteristic
292	C₂×#63229	C₂³	1	1	yes	characteristic
293	C₂×#63229	C₂³	1	1	yes	characteristic
294	C₂×#63229	C₂³	1	1	yes	characteristic
295	C₂×#63229	C₂³	1	1	yes	characteristic
296	#10587616	—	2	1	no	—
297	#10587616	C₂³	1	1	yes	characteristic
298	#10587615	—	2	1	no	—
299	C₄×C₂²⋊D₁₇	—	2	1	no	—
300	C₄×C₂²⋊D₁₇	—	2	1	no	—
301	C₄×C₂²⋊D₁₇	—	2	1	no	—
302	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
303	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
304	C₂×#63227	—	2	1	no	—
305	C₂×#63227	—	2	1	no	—
306	C₂×#63227	—	2	1	no	—
307	C₂×#63227	—	2	1	no	—
308	C₂×C₄⋊Dic₁₇	—	2	1	no	—
309	C₂×C₄⋊Dic₁₇	—	2	1	no	—
310	#10587610	—	2	1	no	—
311	#10587610	—	2	1	no	—
312	#10587610	C₂³	1	1	yes	characteristic
313	#10587610	C₂³	1	1	yes	characteristic
314	#10587610	C₂³	1	1	yes	characteristic, complemented
315	C₂×#63223	C₂³	1	1	yes	characteristic, complemented
316	C₂²×#3622	C₂³	1	1	yes	characteristic
317	#10587604	—	4	2	no	—
318	#10587601	—	4	2	no	—
319	SD₁₆×D₁₇	—	4	2	no	—
320	SD₁₆×D₁₇	—	4	2	no	—
321	#10587595	—	4	2	no	—
322	C₂×Dic₆₈	C₂³	1	1	yes	characteristic, complemented
323	C₂×Dic₆₈	C₂³	1	1	yes	characteristic, complemented
324	C₂×Dic₆₈	C₂³	1	1	yes	characteristic, complemented
325	C₂×#63219	—	4	2	no	—
326	C₂×#63219	C₂³	1	1	yes	characteristic
327	C₂×#63219	C₂³	1	1	yes	characteristic
328	C₂×#63219	C₂³	1	1	yes	characteristic
329	C₂×#63219	C₂³	1	1	yes	characteristic
330	C₂×#63219	C₂³	1	1	yes	characteristic
331	C₂×#63219	C₂³	1	1	yes	characteristic
332	C₂×#63218	C₂³	1	1	yes	characteristic, complemented
333	C₂×#63218	C₂³	1	1	yes	characteristic, complemented
334	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
336	#10587583	—	2	1	no	—
337	#10587583	—	2	1	no	—
338	#10587583	—	2	1	no	—
339	#10587583	—	2	1	no	—
340	#10587583	—	2	1	no	—
341	#10587583	—	2	1	no	—
342	#10587583	C₂³	1	1	yes	characteristic
343	#10587583	C₂³	1	1	yes	characteristic
344	#10587583	C₂³	1	1	yes	characteristic
345	#10587583	C₂³	1	1	yes	characteristic
346	#10587583	C₂³	1	1	yes	characteristic
347	#10587583	C₂³	1	1	yes	characteristic
348	#10587583	C₂³	1	1	yes	characteristic, complemented
349	#10587583	C₂³	1	1	yes	characteristic, complemented
350	#10587582	—	2	1	no	—
351	#10587582	—	2	1	no	—
352	#10587582	—	2	1	no	—
353	#10587582	—	2	1	no	—
354	#10587582	—	2	1	no	—
355	#10587582	—	2	1	no	—
356	#10587582	—	2	1	no	—
357	#10587582	—	2	1	no	—
358	#10587581	—	2	1	no	—
359	#10587581	C₂³	1	1	yes	characteristic
360	#10587580	—	2	1	no	—
361	#10587580	—	2	1	no	—
362	#10587579	—	2	1	no	—
363	#10587579	D₄	1	1	yes	characteristic
364	#10587579	C₂³	1	1	yes	characteristic
365	#10587578	—	2	1	no	—
366	C₄⋊C₄×D₁₇	—	2	1	no	—
367	C₄⋊C₄×D₁₇	—	2	1	no	—
368	C₄⋊C₄×D₁₇	—	2	1	no	—
369	C₄⋊C₄×D₁₇	D₄	1	1	yes	characteristic
370	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
371	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic, complemented
373	#10587576	—	2	1	no	—
374	#10587576	—	2	1	no	—
375	#10587575	—	2	1	no	—
376	#10587575	—	2	1	no	—
377	#10587575	—	2	1	no	—
378	#10587574	—	2	1	no	—
379	#10587574	—	2	1	no	—
380	#10587574	—	2	1	no	—
381	#10587574	C₂³	1	1	yes	characteristic, complemented
382	#10587573	C₂³	1	1	yes	characteristic, complemented
383	#10587573	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	#10587569	—	2	1	no	—
391	#10587569	—	2	1	no	—
392	#10587568	—	2	1	no	—
393	#10587568	—	2	1	no	—
394	#10587568	—	2	1	no	—
395	#10587567	—	2	1	no	—
396	#10587567	—	2	1	no	—
397	#10587567	—	2	1	no	—
398	#10587567	D₄	1	1	yes	characteristic
399	#10587567	D₄	1	1	yes	characteristic
400	C₂²⋊C₄×D₁₇	—	2	1	no	—
401	C₂²⋊C₄×D₁₇	—	2	1	no	—
402	C₂²⋊C₄×D₁₇	—	2	1	no	—
403	C₂²⋊C₄×D₁₇	—	2	1	no	—
404	C₂²⋊C₄×D₁₇	—	2	1	no	—
405	C₂²⋊C₄×D₁₇	—	2	1	no	—
406	C₂²⋊C₄×D₁₇	—	2	1	no	—
407	C₂²⋊C₄×D₁₇	—	2	1	no	—
408	C₂²⋊C₄×D₁₇	—	2	1	no	—
409	C₂²⋊C₄×D₁₇	—	2	1	no	—
410	C₂²⋊C₄×D₁₇	—	2	1	no	—
411	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
412	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
413	#10587564	—	2	1	no	—
414	#10587564	—	2	1	no	—
415	#10587564	—	2	1	no	—
416	#10587564	—	2	1	no	—
417	#10587564	—	2	1	no	—
418	#10587564	—	2	1	no	—
419	#10587564	—	2	1	no	—
420	#10587561	C₂³	1	1	yes	characteristic
421	C₄×D₆₈	—	2	1	no	—
422	C₄×D₆₈	C₂³	1	1	yes	characteristic
423	C₄×D₆₈	C₂³	1	1	yes	characteristic
424	#10587558	—	2	1	no	—
425	C₄²×D₁₇	C₂³	1	1	yes	characteristic
426	#10587555	—	2	1	no	—
427	#10587555	C₂³	1	1	yes	characteristic, complemented
428	C₄×Dic₃₄	—	2	1	no	—
429	C₄×Dic₃₄	C₂³	1	1	yes	characteristic, complemented
430	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
431	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
432	C₁₇×#107	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×#103	C₂³	1	1	yes	characteristic, complemented
436	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
437	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
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
442	C₁₇×#102	C₂³	1	1	yes	characteristic
443	C₁₇×#102	C₂³	1	1	yes	characteristic
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	#10587506	C₂³	1	1	yes	characteristic, complemented
449	#10587503	C₂³	1	1	yes	characteristic
450	#10587503	C₂³	1	1	yes	characteristic
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	#10587491	C₂³	1	1	yes	characteristic
456	#10587491	C₂³	1	1	yes	characteristic
457	#10587491	C₂³	1	1	yes	characteristic
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, complemented
462	#10587491	C₂³	1	1	yes	characteristic, complemented
463	#10587489	C₂³	1	1	yes	characteristic, complemented
464	#10587487	C₂³	1	1	yes	characteristic, complemented
465	#10587487	C₂³	1	1	yes	characteristic, complemented
466	#10587487	C₂³	1	1	yes	characteristic, complemented
467	#10587487	C₂³	1	1	yes	characteristic, complemented
468	#10587486	C₂³	1	1	yes	characteristic, complemented
469	#10587486	C₂³	1	1	yes	characteristic, complemented
470	#10587485	C₂³	1	1	yes	characteristic, complemented
471	#10587485	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	#10587481	C₂³	1	1	yes	characteristic, complemented
476	#10587481	C₂³	1	1	yes	characteristic, complemented
477	#10587481	C₂³	1	1	yes	characteristic, complemented
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
482	#10587480	C₂³	1	1	yes	characteristic
483	#10587480	C₂³	1	1	yes	characteristic
484	#10587478	C₂³	1	1	yes	characteristic, complemented
485	#10587478	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	#10587474	C₂³	1	1	yes	characteristic, complemented
490	C₂⁴×C₁₇	—	2	1	no	—
491	C₂³×D₁₇	—	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	—	4	4	no	—
497	C₂³×D₁₇	—	4	4	no	—
498	C₂³×D₁₇	—	8	2	no	—
499	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
500	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
501	#41×C₁₇	—	2	2	no	—
502	#41×C₁₇	—	4	1	no	—
503	C₂×Q₈×C₁₇	—	2	1	no	—
504	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
511	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₇	—	2	1	no	—
515	C₂²×C₄×C₁₇	—	2	1	no	—
516	C₂²×C₄×C₁₇	—	2	1	no	—
517	C₂²×C₄×C₁₇	—	2	1	no	—
518	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
520	C₂×C₂²⋊D₁₇	—	2	1	no	—
521	C₂×C₂²⋊D₁₇	—	2	1	no	—
522	C₂×C₂²⋊D₁₇	—	2	1	no	—
523	C₂×C₂²⋊D₁₇	—	2	1	no	—
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	—	4	4	no	—
529	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
531	C₂²×Dic₁₇	—	2	1	no	—
532	C₂²×Dic₁₇	—	2	1	no	—
533	C₂²×Dic₁₇	—	2	1	no	—
534	C₂²×Dic₁₇	—	2	1	no	—
535	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
536	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
537	#63256	—	2	2	no	—
538	#63256	—	4	1	no	—
539	Q₈×D₁₇	—	4	1	no	—
540	Q₈×D₁₇	—	4	1	no	—
541	Q₈×D₁₇	—	4	1	no	—
542	Q₈×D₁₇	—	4	1	no	—
543	Q₈×D₁₇	—	4	1	no	—
544	Q₈×D₁₇	—	4	1	no	—
545	#63254	—	2	2	no	—
546	#63254	—	4	1	no	—
547	#63254	—	4	4	no	—
548	D₄×D₁₇	—	2	4	no	—
549	D₄×D₁₇	—	2	2	no	—
550	D₄×D₁₇	—	2	2	no	—
551	D₄×D₁₇	—	2	2	no	—
552	D₄×D₁₇	—	2	2	no	—
553	D₄×D₁₇	—	4	1	no	—
554	D₄×D₁₇	—	4	1	no	—
555	D₄×D₁₇	—	4	1	no	—
556	D₄×D₁₇	—	4	1	no	—
557	D₄×D₁₇	—	4	4	no	—
558	D₄×D₁₇	—	4	4	no	—
559	D₄×D₁₇	—	4	4	no	—
560	D₄×D₁₇	—	8	2	no	—
561	#63252	—	2	2	no	—
562	#63252	—	4	1	no	—
563	#63252	—	4	4	no	—
564	C₂×D₆₈	—	2	2	no	—
565	C₂×D₆₈	—	2	1	no	—
566	C₂×D₆₈	—	2	1	no	—
567	C₂×D₆₈	—	2	1	no	—
568	C₂×D₆₈	—	4	1	no	—
569	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
570	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
571	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×D₁₇	—	2	1	no	—
573	C₂×C₄×D₁₇	—	2	1	no	—
574	C₂×C₄×D₁₇	—	2	1	no	—
575	C₂×C₄×D₁₇	—	2	1	no	—
576	C₂×C₄×D₁₇	—	2	1	no	—
577	C₂×C₄×D₁₇	—	2	1	no	—
578	C₂×C₄×D₁₇	—	2	1	no	—
579	C₂×C₄×D₁₇	—	2	1	no	—
580	C₂×C₄×D₁₇	—	2	1	no	—
581	C₂×C₄×D₁₇	—	2	1	no	—
582	C₂×C₄×D₁₇	—	4	1	no	—
583	C₂×C₄×D₁₇	—	4	1	no	—
584	C₂×C₄×D₁₇	—	4	1	no	—
585	C₂×C₄×D₁₇	—	4	1	no	—
586	C₂×C₄×D₁₇	—	4	4	no	—
587	C₂×C₄×D₁₇	—	8	2	no	—
588	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
589	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₃₄	—	2	1	no	—
598	C₂×Dic₃₄	—	2	1	no	—
599	C₂×Dic₃₄	—	2	1	no	—
600	C₂×Dic₃₄	—	2	1	no	—
601	C₂×Dic₃₄	—	2	1	no	—
602	C₂×Dic₃₄	—	2	1	no	—
603	C₂×Dic₃₄	—	4	1	no	—
604	C₂×Dic₃₄	—	4	1	no	—
605	C₂×Dic₃₄	—	4	1	no	—
606	C₂×Dic₃₄	—	4	1	no	—
607	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
608	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
609	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
610	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
611	Q₁₆×C₁₇	—	4	1	no	—
612	SD₁₆×C₁₇	—	2	2	no	—
613	SD₁₆×C₁₇	—	4	1	no	—
614	M₁₆×C₁₇	—	4	1	no	—
615	C₂×C₈×C₁₇	—	4	1	no	—
616	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
617	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
626	C₄⋊C₄×C₁₇	—	2	1	no	—
627	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
628	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
631	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
632	C₂²⋊C₄×C₁₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
641	C₄²×C₁₇	—	2	1	no	—
642	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
643	C₂²⋊Dic₁₇	—	2	1	no	—
644	C₂²⋊Dic₁₇	—	2	1	no	—
645	C₂²⋊Dic₁₇	—	2	1	no	—
646	C₂²⋊Dic₁₇	—	2	1	no	—
647	C₂²⋊Dic₁₇	—	2	1	no	—
648	C₂²⋊Dic₁₇	—	2	1	no	—
649	C₂²⋊Dic₁₇	—	2	1	no	—
650	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
652	#63231	—	4	1	no	—
653	#63231	—	4	1	no	—
654	#63231	—	4	1	no	—
655	#63231	—	4	1	no	—
656	#63230	—	2	2	no	—
657	#63230	—	4	1	no	—
658	#63229	—	2	2	no	—
659	#63229	—	2	2	no	—
660	#63229	—	2	2	no	—
661	#63229	—	4	1	no	—
662	#63229	—	4	1	no	—
663	#63229	—	4	1	no	—
664	#63227	—	2	1	no	—
665	#63227	—	2	1	no	—
666	#63227	—	2	1	no	—
667	#63227	—	2	1	no	—
668	#63227	—	2	1	no	—
669	#63227	—	2	1	no	—
670	#63227	—	2	1	no	—
671	#63227	—	2	1	no	—
672	#63227	—	2	1	no	—
673	#63227	—	2	1	no	—
674	#63227	—	2	1	no	—
675	#63227	—	2	1	no	—
676	#63227	—	2	1	no	—
677	#63227	—	2	1	no	—
678	#63227	—	2	1	no	—
679	#63227	—	2	1	no	—
680	#63227	—	2	1	no	—
681	#63227	—	2	1	no	—
682	#63227	C₂×D₄	1	1	yes	characteristic
683	#63227	C₂×D₄	1	1	yes	characteristic
684	#63227	C₂×D₄	1	1	yes	characteristic
685	#63227	C₂×D₄	1	1	yes	characteristic
686	C₄⋊Dic₁₇	—	2	1	no	—
687	C₄⋊Dic₁₇	—	2	1	no	—
688	C₄⋊Dic₁₇	—	2	1	no	—
689	C₄⋊Dic₁₇	—	2	1	no	—
690	C₄⋊Dic₁₇	—	2	1	no	—
691	C₄⋊Dic₁₇	—	2	1	no	—
692	C₄⋊Dic₁₇	—	2	1	no	—
693	C₄⋊Dic₁₇	—	2	1	no	—
694	C₄⋊Dic₁₇	—	2	1	no	—
695	C₄⋊Dic₁₇	—	2	1	no	—
696	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
697	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
699	#63225	—	2	1	no	—
700	#63225	—	2	1	no	—
701	#63225	—	2	1	no	—
702	#63225	—	2	1	no	—
703	#63225	—	2	1	no	—
704	#63225	—	2	1	no	—
705	#63225	—	2	1	no	—
706	#63225	—	2	1	no	—
707	#63225	—	2	1	no	—
708	#63225	—	2	1	no	—
709	#63225	—	2	1	no	—
710	#63225	—	2	1	no	—
711	#63225	—	2	1	no	—
712	#63225	—	2	1	no	—
713	#63225	C₂×D₄	1	1	yes	characteristic
714	#63225	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₁₇	—	2	1	no	—
716	C₄×Dic₁₇	—	2	1	no	—
717	C₄×Dic₁₇	—	2	1	no	—
718	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
721	#63223	—	4	1	no	—
722	C₂×#3622	—	4	1	no	—
723	C₂×#3622	C₂⁴	1	1	yes	characteristic
724	C₂×#3622	C₂⁴	1	1	yes	characteristic
725	C₂×#3622	C₂⁴	1	1	yes	characteristic
726	C₂×#3622	C₂⁴	1	1	yes	characteristic
727	Dic₆₈	—	4	1	no	—
728	Dic₆₈	—	4	1	no	—
729	Dic₆₈	—	4	1	no	—
730	#63219	—	2	2	no	—
731	#63219	—	2	2	no	—
732	#63219	—	2	2	no	—
733	#63219	—	4	1	no	—
734	#63219	—	4	1	no	—
735	#63219	—	4	1	no	—
736	#63218	—	4	1	no	—
737	#63218	—	4	1	no	—
738	C₈×D₁₇	—	4	1	no	—
739	C₈×D₁₇	—	4	1	no	—
740	#61570	—	17	1	no	maximal, Sylow
741	C₂³×C₁₇	—	2	1	no	—
742	C₂³×C₁₇	—	2	1	no	—
743	C₂³×C₁₇	—	4	2	no	—
744	C₂³×C₁₇	—	4	2	no	—
745	C₂³×C₁₇	—	8	1	no	—
746	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
747	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
748	C₂²×D₁₇	—	2	4	no	—
749	C₂²×D₁₇	—	2	1	no	—
750	C₂²×D₁₇	—	2	2	no	—
751	C₂²×D₁₇	—	2	1	no	—
752	C₂²×D₁₇	—	4	1	no	—
753	C₂²×D₁₇	—	4	1	no	—
754	C₂²×D₁₇	—	4	1	no	—
755	C₂²×D₁₇	—	4	1	no	—
756	C₂²×D₁₇	—	4	2	no	—
757	C₂²×D₁₇	—	4	2	no	—
758	C₂²×D₁₇	—	4	2	no	—
759	C₂²×D₁₇	—	4	2	no	—
760	C₂²×D₁₇	—	4	2	no	—
761	C₂²×D₁₇	—	4	2	no	—
762	C₂²×D₁₇	—	4	2	no	—
763	C₂²×D₁₇	—	4	2	no	—
764	C₂²×D₁₇	—	4	2	no	—
765	C₂²×D₁₇	—	4	2	no	—
766	C₂²×D₁₇	—	4	2	no	—
767	C₂²×D₁₇	—	8	1	no	—
768	C₂²×D₁₇	—	8	1	no	—
769	C₂²×D₁₇	—	8	1	no	—
770	C₂²×D₁₇	—	8	16	no	—
771	C₂²×D₁₇	#137	1	4	yes	complemented
772	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
773	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
774	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
775	Q₈×C₁₇	—	2	1	no	—
776	Q₈×C₁₇	—	2	1	no	—
777	Q₈×C₁₇	—	2	1	no	—
778	Q₈×C₁₇	—	2	1	no	—
779	Q₈×C₁₇	—	8	1	no	—
780	D₄×C₁₇	—	2	2	no	—
781	D₄×C₁₇	—	2	1	no	—
782	D₄×C₁₇	—	2	1	no	—
783	D₄×C₁₇	—	2	1	no	—
784	D₄×C₁₇	—	4	2	no	—
785	D₄×C₁₇	—	4	2	no	—
786	D₄×C₁₇	—	8	1	no	—
787	D₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
788	C₂×C₄×C₁₇	—	2	1	no	—
789	C₂×C₄×C₁₇	—	2	1	no	—
790	C₂×C₄×C₁₇	—	2	1	no	—
791	C₂×C₄×C₁₇	—	2	1	no	—
792	C₂×C₄×C₁₇	—	2	1	no	—
793	C₂×C₄×C₁₇	—	2	1	no	—
794	C₂×C₄×C₁₇	—	2	1	no	—
795	C₂×C₄×C₁₇	—	2	1	no	—
796	C₂×C₄×C₁₇	—	2	1	no	—
797	C₂×C₄×C₁₇	—	2	1	no	—
798	C₂×C₄×C₁₇	—	4	2	no	—
799	C₂×C₄×C₁₇	—	8	1	no	—
800	C₂×C₄×C₁₇	—	8	1	no	—
801	C₂×C₄×C₁₇	—	8	1	no	—
802	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
807	C₂²⋊D₁₇	—	2	4	no	—
808	C₂²⋊D₁₇	—	2	2	no	—
809	C₂²⋊D₁₇	—	2	2	no	—
810	C₂²⋊D₁₇	—	4	2	no	—
811	C₂²⋊D₁₇	—	4	2	no	—
812	C₂²⋊D₁₇	—	4	2	no	—
813	C₂²⋊D₁₇	—	4	2	no	—
814	C₂²⋊D₁₇	—	4	2	no	—
815	C₂²⋊D₁₇	—	8	1	no	—
816	C₂²⋊D₁₇	—	8	1	no	—
817	C₂×Dic₁₇	—	2	1	no	—
818	C₂×Dic₁₇	—	2	1	no	—
819	C₂×Dic₁₇	—	2	1	no	—
820	C₂×Dic₁₇	—	2	1	no	—
821	C₂×Dic₁₇	—	2	1	no	—
822	C₂×Dic₁₇	—	2	1	no	—
823	C₂×Dic₁₇	—	4	1	no	—
824	C₂×Dic₁₇	—	4	1	no	—
825	C₂×Dic₁₇	—	4	2	no	—
826	C₂×Dic₁₇	—	8	1	no	—
827	C₂×Dic₁₇	—	8	1	no	—
828	C₂×Dic₁₇	—	8	1	no	—
829	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
830	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
831	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
832	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
833	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
834	D₆₈	—	2	2	no	—
835	D₆₈	—	2	1	no	—
836	D₆₈	—	2	1	no	—
837	D₆₈	—	2	1	no	—
838	D₆₈	—	4	2	no	—
839	D₆₈	—	4	2	no	—
840	D₆₈	—	8	1	no	—
841	D₆₈	H(5,𝔽₂)	1	2	yes	—
842	C₄×D₁₇	—	2	2	no	—
843	C₄×D₁₇	—	2	1	no	—
844	C₄×D₁₇	—	2	1	no	—
845	C₄×D₁₇	—	2	1	no	—
846	C₄×D₁₇	—	2	1	no	—
847	C₄×D₁₇	—	2	1	no	—
848	C₄×D₁₇	—	2	1	no	—
849	C₄×D₁₇	—	4	1	no	—
850	C₄×D₁₇	—	4	1	no	—
851	C₄×D₁₇	—	4	1	no	—
852	C₄×D₁₇	—	4	1	no	—
853	C₄×D₁₇	—	4	1	no	—
854	C₄×D₁₇	—	4	2	no	—
855	C₄×D₁₇	—	4	2	no	—
856	C₄×D₁₇	—	4	2	no	—
857	C₄×D₁₇	—	4	2	no	—
858	C₄×D₁₇	—	8	1	no	—
859	C₄×D₁₇	—	8	1	no	—
860	C₄×D₁₇	—	8	1	no	—
861	C₄×D₁₇	—	8	1	no	—
862	C₄×D₁₇	—	8	1	no	—
863	C₄×D₁₇	—	8	1	no	—
864	Dic₃₄	—	2	1	no	—
865	Dic₃₄	—	2	1	no	—
866	Dic₃₄	—	2	1	no	—
867	Dic₃₄	—	2	1	no	—
868	Dic₃₄	—	2	1	no	—
869	Dic₃₄	—	2	1	no	—
870	Dic₃₄	—	2	1	no	—
871	Dic₃₄	—	2	1	no	—
872	Dic₃₄	—	4	2	no	—
873	Dic₃₄	—	8	1	no	—
874	Dic₃₄	—	8	1	no	—
875	Dic₃₄	—	8	1	no	—
876	Dic₃₄	—	8	1	no	—
877	Dic₃₄	—	8	1	no	—
878	C₈×C₁₇	—	2	1	no	—
879	C₈×C₁₇	—	2	1	no	—
880	C₈×C₁₇	—	2	1	no	—
881	C₈×C₁₇	—	2	1	no	—
882	#3622	—	2	1	no	—
883	#3622	—	2	1	no	—
884	#3622	—	2	1	no	—
885	#3622	—	2	1	no	—
886	#3501	—	17	1	no	—
887	C₂×#546	—	17	1	no	—
888	#3314	—	17	1	no	—
889	#3314	—	17	1	no	—
890	#3314	—	17	1	no	—
891	#3314	—	17	1	no	—
892	#3314	—	17	1	no	—
893	#3314	—	17	1	no	—
894	#3314	—	17	1	no	—
895	#3314	D₁₇	1	1	yes	characteristic, complemented
896	#3266	—	17	1	no	—
897	#3266	—	17	1	no	—
898	#3266	—	17	1	no	—
899	#3266	—	17	1	no	—
900	#3266	—	17	1	no	—
901	#3266	—	17	1	no	—
902	#3266	—	17	1	no	—
903	#3266	—	17	1	no	—
904	#3215	—	17	1	no	—
905	#3215	—	17	1	no	—
906	#3193	—	17	1	no	—
907	#3193	—	17	1	no	—
908	#3189	—	17	1	no	—
909	#3189	—	17	1	no	—
910	#3110	—	17	1	no	—
911	#3110	—	17	1	no	—
912	#3007	—	17	1	no	—
913	#3007	—	17	1	no	—
914	C₂×#450	—	17	1	no	—
915	C₂×#450	—	17	1	no	—
916	#2973	—	17	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	2	no	—
922	C₂²×C₁₇	—	2	1	no	—
923	C₂²×C₁₇	—	4	1	no	—
924	C₂²×C₁₇	—	4	1	no	—
925	C₂²×C₁₇	—	4	1	no	—
926	C₂²×C₁₇	—	4	1	no	—
927	C₂²×C₁₇	—	4	1	no	—
928	C₂²×C₁₇	—	8	4	no	—
929	C₂²×C₁₇	C₂×#137	1	2	yes	—
930	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
931	C₂×D₁₇	—	2	1	no	—
932	C₂×D₁₇	—	2	1	no	—
933	C₂×D₁₇	—	2	1	no	—
934	C₂×D₁₇	—	2	1	no	—
935	C₂×D₁₇	—	2	1	no	—
936	C₂×D₁₇	—	2	1	no	—
937	C₂×D₁₇	—	2	2	no	—
938	C₂×D₁₇	—	2	1	no	—
939	C₂×D₁₇	—	4	4	no	—
940	C₂×D₁₇	—	4	8	no	—
941	C₂×D₁₇	—	4	1	no	—
942	C₂×D₁₇	—	4	1	no	—
943	C₂×D₁₇	—	4	1	no	—
944	C₂×D₁₇	—	4	1	no	—
945	C₂×D₁₇	—	4	1	no	—
946	C₂×D₁₇	—	8	2	no	—
947	C₂×D₁₇	—	8	4	no	—
948	C₂×D₁₇	—	8	4	no	—
949	C₂×D₁₇	—	8	4	no	—
950	C₂×D₁₇	—	8	4	no	—
951	C₂×D₁₇	C₂×#137	1	2	yes	—
952	C₂×D₁₇	C₂×#137	1	2	yes	—
953	C₄×C₁₇	—	2	1	no	—
954	C₄×C₁₇	—	2	1	no	—
955	C₄×C₁₇	—	2	1	no	—
956	C₄×C₁₇	—	2	1	no	—
957	C₄×C₁₇	—	4	1	no	—
958	C₄×C₁₇	—	4	1	no	—
959	C₄×C₁₇	—	4	1	no	—
960	C₄×C₁₇	—	4	1	no	—
961	C₄×C₁₇	—	4	1	no	—
962	C₄×C₁₇	—	4	1	no	—
963	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
964	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
965	Dic₁₇	—	2	1	no	—
966	Dic₁₇	—	2	1	no	—
967	Dic₁₇	—	2	1	no	—
968	Dic₁₇	—	2	1	no	—
969	Dic₁₇	—	2	1	no	—
970	Dic₁₇	—	4	1	no	—
971	Dic₁₇	—	4	1	no	—
972	Dic₁₇	—	4	1	no	—
973	Dic₁₇	—	4	1	no	—
974	Dic₁₇	—	4	1	no	—
975	Dic₁₇	—	4	1	no	—
976	C₂²×#41	—	17	1	no	—
977	C₂³×D₄	—	17	1	no	—
978	C₂×#137	—	17	1	no	—
979	C₂×#137	—	17	1	no	—
980	C₂×#137	—	17	1	no	—
981	C₂×#137	—	17	1	no	—
982	C₂²×SD₁₆	—	17	1	no	—
983	C₂²×SD₁₆	—	17	1	no	—
984	C₂²×SD₁₆	—	17	1	no	—
985	C₂²×SD₁₆	—	17	1	no	—
986	#554	—	17	1	no	—
987	#554	—	17	1	no	—
988	#554	—	17	1	no	—
989	#554	—	34	1	no	—
990	#554	—	34	1	no	—
991	#554	—	34	1	no	—
992	#554	—	34	1	no	—
993	#554	C₂×D₁₇	1	1	yes	characteristic, complemented
994	D₄×Q₈	—	17	1	no	—
995	D₄×Q₈	—	17	1	no	—
996	D₄×Q₈	—	17	1	no	—
997	D₄×Q₈	—	17	1	no	—
998	#546	—	17	1	no	—
999	#546	—	17	1	no	—
1000	#546	—	17	1	no	—
1001	#546	—	17	1	no	—
1002	#546	—	17	1	no	—
1003	#546	—	17	1	no	—
1004	#546	—	17	1	no	—
1005	#546	—	34	1	no	—
1006	#546	—	34	1	no	—
1007	#546	—	34	1	no	—
1008	#546	—	34	1	no	—
1009	#546	C₂×D₁₇	1	1	yes	characteristic
1010	#544	—	34	1	no	—
1011	#543	—	34	1	no	—
1012	#543	—	34	1	no	—
1013	#533	—	17	1	no	—
1014	#533	—	17	1	no	—
1015	C₂×#124	—	17	1	no	—
1016	C₂×#123	—	34	1	no	—
1017	C₂×C₂²⋊Q₈	—	17	1	no	—
1018	C₂×C₂²⋊Q₈	—	17	1	no	—
1019	C₂×C₂²⋊Q₈	—	17	1	no	—
1020	C₂×C₂²⋊Q₈	—	17	1	no	—
1021	C₂×C₂²⋊Q₈	—	17	1	no	—
1022	C₂×#121	—	17	1	no	—
1023	C₂×#121	—	34	1	no	—
1024	C₂×#120	—	34	1	no	—
1025	#518	—	34	1	no	—
1026	C₂×C₄×D₄	—	17	1	no	—
1027	C₂×C₄×D₄	—	17	1	no	—
1028	C₂²×C₂²⋊C₄	—	34	1	no	—
1029	#497	—	17	1	no	—
1030	#497	—	17	1	no	—
1031	#497	—	17	1	no	—
1032	#497	—	17	1	no	—
1033	#489	—	17	1	no	—
1034	#489	—	17	1	no	—
1035	#489	—	17	1	no	—
1036	#489	C₂×D₁₇	1	1	yes	characteristic, complemented
1037	#484	—	17	1	no	—
1038	#484	—	17	1	no	—
1039	#484	—	17	1	no	—
1040	#484	—	17	1	no	—
1041	#484	—	17	1	no	—
1042	#484	—	17	1	no	—
1043	#484	—	17	1	no	—
1044	#484	C₂×D₁₇	1	1	yes	characteristic, complemented
1045	#480	—	17	1	no	—
1046	#480	—	17	1	no	—
1047	#480	—	17	1	no	—
1048	#480	C₂×D₁₇	1	1	yes	characteristic, complemented
1049	#474	—	17	1	no	—
1050	#474	—	17	1	no	—
1051	#474	—	17	1	no	—
1052	#474	C₂×D₁₇	1	1	yes	characteristic, complemented
1053	#468	—	17	1	no	—
1054	#468	—	17	1	no	—
1055	#468	—	17	1	no	—
1056	#468	—	17	1	no	—
1057	#468	—	17	1	no	—
1058	#468	—	17	1	no	—
1059	#468	—	17	1	no	—
1060	#468	C₂×D₁₇	1	1	yes	characteristic, complemented
1061	#467	—	17	1	no	—
1062	#467	—	17	1	no	—
1063	#467	—	17	1	no	—
1064	#467	—	17	1	no	—
1065	#467	—	17	1	no	—
1066	#467	—	17	1	no	—
1067	#467	—	17	1	no	—
1068	#467	C₂×D₁₇	1	1	yes	characteristic, complemented
1069	#464	—	17	1	no	—
1070	#464	—	17	1	no	—
1071	#464	—	17	1	no	—
1072	#464	—	17	1	no	—
1073	#464	—	17	1	no	—
1074	#464	—	17	1	no	—
1075	#464	—	17	1	no	—
1076	#464	C₂×D₁₇	1	1	yes	characteristic, complemented
1077	#461	—	17	1	no	—
1078	#461	—	17	1	no	—
1079	#461	—	17	1	no	—
1080	#461	—	17	1	no	—
1081	#452	—	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	C₂×D₁₇	1	1	yes	characteristic, complemented
1089	#451	—	17	1	no	—
1090	#451	—	17	1	no	—
1091	#451	—	17	1	no	—
1092	#451	—	17	1	no	—
1093	#451	—	17	1	no	—
1094	#451	—	17	1	no	—
1095	#451	—	17	1	no	—
1096	#451	—	17	1	no	—
1097	#450	—	17	1	no	—
1098	#450	—	17	1	no	—
1099	#450	—	17	1	no	—
1100	#450	—	17	1	no	—
1101	#450	—	17	1	no	—
1102	#450	—	17	1	no	—
1103	#450	—	17	1	no	—
1104	#450	—	17	1	no	—
1105	#450	—	17	1	no	—
1106	#450	—	17	1	no	—
1107	#450	—	17	1	no	—
1108	#450	—	17	1	no	—
1109	#450	—	17	1	no	—
1110	#450	—	17	1	no	—
1111	#450	—	17	1	no	—
1112	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1113	#448	—	17	1	no	—
1114	#448	—	17	1	no	—
1115	#448	—	17	1	no	—
1116	#448	—	17	1	no	—
1117	#440	—	17	1	no	—
1118	#440	—	17	1	no	—
1119	#440	—	17	1	no	—
1120	#440	—	17	1	no	—
1121	#440	—	17	1	no	—
1122	#440	—	17	1	no	—
1123	#440	—	17	1	no	—
1124	#440	C₂×D₁₇	1	1	yes	characteristic, complemented
1125	#435	—	17	1	no	—
1126	#435	—	17	1	no	—
1127	#435	—	17	1	no	—
1128	#435	—	17	1	no	—
1129	#435	—	17	1	no	—
1130	#435	—	17	1	no	—
1131	#435	—	17	1	no	—
1132	#435	C₂×D₁₇	1	1	yes	characteristic, complemented
1133	#432	—	17	1	no	—
1134	#432	—	17	1	no	—
1135	#417	—	17	1	no	—
1136	#417	—	17	1	no	—
1137	#417	—	17	1	no	—
1138	#417	C₂×D₁₇	1	1	yes	characteristic, complemented
1139	C₂×#102	—	17	1	no	—
1140	C₂×#102	—	17	1	no	—
1141	C₂×#102	—	17	1	no	—
1142	C₂×#102	C₂×D₁₇	1	1	yes	characteristic, complemented
1143	#407	—	17	1	no	—
1144	#407	—	17	1	no	—
1145	C₂×C₂²⋊C₈	—	17	1	no	—
1146	C₂×C₂²⋊C₈	—	17	1	no	—
1147	C₂×C₁₇	—	2	2	no	—
1148	C₂×C₁₇	—	4	2	no	—
1149	C₂×C₁₇	—	4	1	no	—
1150	C₂×C₁₇	—	8	1	no	—
1151	C₂×C₁₇	#3484	1	1	yes	characteristic
1152	C₂×C₁₇	C₂²×#137	1	1	yes	characteristic
1153	C₂×C₁₇	#3585	1	1	yes	characteristic
1154	D₁₇	—	2	2	no	—
1155	D₁₇	—	2	2	no	—
1156	D₁₇	—	4	1	no	—
1157	D₁₇	—	4	2	no	—
1158	D₁₇	—	8	1	no	—
1159	C₂⁵	—	34	1	no	—
1160	C₂×#41	—	17	1	no	—
1161	C₂×#41	—	17	1	no	—
1162	C₂×#41	—	17	1	no	—
1163	C₂×#41	—	34	1	no	—
1164	C₂×#41	—	34	1	no	—
1165	C₂×#41	—	68	2	no	—
1166	C₂×#41	—	68	2	no	—
1167	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1168	C₂²×Q₈	—	17	1	no	—
1169	C₂²×Q₈	—	17	1	no	—
1170	C₂²×Q₈	—	17	1	no	—
1171	C₂²×Q₈	—	17	1	no	—
1172	C₂²×Q₈	—	17	1	no	—
1173	C₂²×D₄	—	17	1	no	—
1174	C₂²×D₄	—	17	1	no	—
1175	C₂²×D₄	—	17	1	no	—
1176	C₂²×D₄	—	17	1	no	—
1177	C₂²×D₄	—	17	1	no	—
1178	C₂²×D₄	—	17	1	no	—
1179	C₂²×D₄	—	34	1	no	—
1180	C₂²×D₄	—	34	1	no	—
1181	C₂²×D₄	—	34	1	no	—
1182	C₂²×D₄	—	34	1	no	—
1183	C₂²×D₄	—	34	1	no	—
1184	C₂²×D₄	—	68	2	no	—
1185	C₂²×D₄	—	68	2	no	—
1186	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1187	C₂³×C₄	—	17	1	no	—
1188	C₂³×C₄	—	17	1	no	—
1189	C₂³×C₄	—	34	1	no	—
1190	C₂³×C₄	—	34	1	no	—
1191	#137	—	68	2	no	—
1192	#137	—	68	2	no	—
1193	#137	—	68	2	no	—
1194	#137	—	68	2	no	—
1195	C₂×Q₁₆	—	17	1	no	—
1196	C₂×Q₁₆	—	17	1	no	—
1197	C₂×Q₁₆	—	17	1	no	—
1198	C₂×Q₁₆	—	17	1	no	—
1199	C₂×Q₁₆	—	17	1	no	—
1200	C₂×Q₁₆	—	17	1	no	—
1201	C₂×Q₁₆	—	17	1	no	—
1202	C₂×Q₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1203	C₂×SD₁₆	—	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×SD₁₆	—	17	1	no	—
1217	C₂×SD₁₆	—	68	2	no	—
1218	C₂×SD₁₆	—	68	2	no	—
1219	C₂×SD₁₆	—	68	2	no	—
1220	C₂×SD₁₆	—	68	2	no	—
1221	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1222	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1223	C₂×M₁₆	—	17	1	no	—
1224	C₂×M₁₆	—	17	1	no	—
1225	C₂×M₁₆	—	17	1	no	—
1226	C₂×M₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1227	C₂²×C₈	—	17	1	no	—
1228	C₂²×C₈	—	17	1	no	—
1229	C₂²×C₈	—	17	1	no	—
1230	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic
1231	C₄⋊Q₈	—	17	1	no	—
1232	C₄⋊Q₈	—	17	1	no	—
1233	C₄⋊Q₈	—	17	1	no	—
1234	C₄⋊Q₈	—	34	1	no	—
1235	C₄⋊Q₈	—	34	1	no	—
1236	C₄⋊Q₈	—	34	1	no	—
1237	C₄⋊Q₈	—	34	1	no	—
1238	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1239	#125	—	2	1	no	—
1240	#125	—	34	1	no	—
1241	#125	—	34	1	no	—
1242	#125	—	34	1	no	—
1243	#125	—	34	1	no	—
1244	#125	—	34	1	no	—
1245	#124	—	17	1	no	—
1246	#124	—	17	1	no	—
1247	#124	—	17	1	no	—
1248	#124	—	34	1	no	—
1249	#124	—	34	1	no	—
1250	#124	C₂²×D₁₇	1	1	yes	characteristic
1251	#123	—	2	1	no	—
1252	#123	—	34	1	no	—
1253	#123	—	34	1	no	—
1254	#123	—	34	1	no	—
1255	#123	—	34	1	no	—
1256	#123	—	34	1	no	—
1257	#123	—	34	1	no	—
1258	#123	—	34	1	no	—
1259	C₂²⋊Q₈	—	2	1	no	—
1260	C₂²⋊Q₈	—	2	1	no	—
1261	C₂²⋊Q₈	—	17	1	no	—
1262	C₂²⋊Q₈	—	17	1	no	—
1263	C₂²⋊Q₈	—	17	1	no	—
1264	C₂²⋊Q₈	—	17	1	no	—
1265	C₂²⋊Q₈	—	17	1	no	—
1266	C₂²⋊Q₈	—	17	1	no	—
1267	C₂²⋊Q₈	—	17	1	no	—
1268	C₂²⋊Q₈	—	17	1	no	—
1269	C₂²⋊Q₈	—	17	1	no	—
1270	C₂²⋊Q₈	—	17	1	no	—
1271	C₂²⋊Q₈	—	17	1	no	—
1272	C₂²⋊Q₈	—	17	1	no	—
1273	C₂²⋊Q₈	—	17	1	no	—
1274	C₂²⋊Q₈	—	34	1	no	—
1275	C₂²⋊Q₈	—	34	1	no	—
1276	C₂²⋊Q₈	—	34	1	no	—
1277	C₂²⋊Q₈	—	34	1	no	—
1278	C₂²⋊Q₈	—	34	1	no	—
1279	C₂²⋊Q₈	—	34	1	no	—
1280	C₂²⋊Q₈	—	34	1	no	—
1281	C₂²⋊Q₈	—	34	1	no	—
1282	C₂²⋊Q₈	—	34	1	no	—
1283	C₂²⋊Q₈	—	34	1	no	—
1284	C₂²⋊Q₈	—	34	1	no	—
1285	C₂²⋊Q₈	—	34	1	no	—
1286	C₂²⋊Q₈	—	34	1	no	—
1287	C₂²⋊Q₈	—	34	1	no	—
1288	C₂²⋊Q₈	—	34	1	no	—
1289	C₂²⋊Q₈	—	34	1	no	—
1290	C₂²⋊Q₈	—	34	1	no	—
1291	C₂²⋊Q₈	—	34	1	no	—
1292	C₂²⋊Q₈	—	34	1	no	—
1293	C₂²⋊Q₈	—	34	1	no	—
1294	C₂²⋊Q₈	—	34	1	no	—
1295	C₂²⋊Q₈	—	34	1	no	—
1296	C₂²⋊Q₈	—	34	1	no	—
1297	C₂²⋊Q₈	—	34	1	no	—
1298	C₂²⋊Q₈	—	34	1	no	—
1299	C₂²⋊Q₈	—	34	1	no	—
1300	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1301	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1302	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1303	#121	—	2	1	no	—
1304	#121	—	17	1	no	—
1305	#121	—	17	1	no	—
1306	#121	—	17	1	no	—
1307	#121	—	34	1	no	—
1308	#121	—	34	1	no	—
1309	#121	—	34	1	no	—
1310	#121	—	34	1	no	—
1311	#121	—	34	1	no	—
1312	#121	—	34	1	no	—
1313	#121	—	34	1	no	—
1314	#121	—	34	1	no	—
1315	#121	—	34	1	no	—
1316	#121	C₂²×D₁₇	1	1	yes	characteristic
1317	#120	—	2	1	no	—
1318	#120	—	34	1	no	—
1319	#120	—	34	1	no	—
1320	#120	—	34	1	no	—
1321	#120	—	34	1	no	—
1322	#120	—	34	1	no	—
1323	#120	—	34	1	no	—
1324	#120	—	34	1	no	—
1325	C₄×Q₈	—	17	1	no	—
1326	C₄×Q₈	—	17	1	no	—
1327	C₄×Q₈	—	17	1	no	—
1328	C₄×Q₈	—	34	1	no	—
1329	C₄×Q₈	—	34	1	no	—
1330	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1331	C₄×D₄	—	2	1	no	—
1332	C₄×D₄	—	17	1	no	—
1333	C₄×D₄	—	17	1	no	—
1334	C₄×D₄	—	17	1	no	—
1335	C₄×D₄	—	17	1	no	—
1336	C₄×D₄	—	17	1	no	—
1337	C₄×D₄	—	17	1	no	—
1338	C₄×D₄	—	17	1	no	—
1339	C₄×D₄	—	17	1	no	—
1340	C₄×D₄	—	17	1	no	—
1341	C₄×D₄	—	17	1	no	—
1342	C₄×D₄	—	34	1	no	—
1343	C₄×D₄	—	34	1	no	—
1344	C₄×D₄	—	34	1	no	—
1345	C₄×D₄	—	34	1	no	—
1346	C₄×D₄	—	34	1	no	—
1347	C₄×D₄	—	34	1	no	—
1348	C₄×D₄	—	34	1	no	—
1349	C₄×D₄	—	34	1	no	—
1350	C₄×D₄	—	34	1	no	—
1351	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1352	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1353	#117	—	34	1	no	—
1354	#117	—	34	1	no	—
1355	C₂×C₄⋊C₄	—	17	1	no	—
1356	C₂×C₄⋊C₄	—	17	1	no	—
1357	C₂×C₄⋊C₄	—	17	1	no	—
1358	C₂×C₄⋊C₄	—	17	1	no	—
1359	C₂×C₄⋊C₄	—	34	1	no	—
1360	C₂×C₄⋊C₄	—	34	1	no	—
1361	C₂×C₄⋊C₄	—	34	1	no	—
1362	C₂×C₄⋊C₄	—	34	1	no	—
1363	C₂×C₄⋊C₄	—	34	1	no	—
1364	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1365	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic, complemented
1366	C₂×C₂²⋊C₄	—	2	1	no	—
1367	C₂×C₂²⋊C₄	—	17	1	no	—
1368	C₂×C₂²⋊C₄	—	17	1	no	—
1369	C₂×C₂²⋊C₄	—	34	1	no	—
1370	C₂×C₂²⋊C₄	—	34	1	no	—
1371	C₂×C₂²⋊C₄	—	34	1	no	—
1372	C₂×C₂²⋊C₄	—	34	1	no	—
1373	C₂×C₂²⋊C₄	—	34	1	no	—
1374	C₂×C₂²⋊C₄	—	34	1	no	—
1375	C₂×C₂²⋊C₄	—	34	1	no	—
1376	C₂×C₂²⋊C₄	—	34	1	no	—
1377	C₂×C₂²⋊C₄	—	34	1	no	—
1378	C₂×C₂²⋊C₄	—	34	1	no	—
1379	C₂×C₂²⋊C₄	—	34	1	no	—
1380	C₂×C₂²⋊C₄	—	34	1	no	—
1381	C₂×C₂²⋊C₄	—	34	1	no	—
1382	C₂×C₂²⋊C₄	—	34	1	no	—
1383	C₂×C₂²⋊C₄	—	34	1	no	—
1384	C₂×C₂²⋊C₄	—	34	1	no	—
1385	C₂×C₄²	—	17	1	no	—
1386	#107	—	17	1	no	—
1387	#107	—	17	1	no	—
1388	#107	—	17	1	no	—
1389	#107	—	17	1	no	—
1390	#107	—	17	1	no	—
1391	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1392	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1393	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1394	C₄⋊C₈	—	17	1	no	—
1395	C₄⋊C₈	—	17	1	no	—
1396	C₄⋊C₈	—	17	1	no	—
1397	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1398	#103	—	17	1	no	—
1399	#103	—	17	1	no	—
1400	#103	—	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	C₂²×D₁₇	1	1	yes	characteristic, complemented
1411	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1412	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1413	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1414	#102	—	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	C₂²×D₁₇	1	1	yes	characteristic
1425	#102	C₂²×D₁₇	1	1	yes	characteristic
1426	#102	C₂²×D₁₇	1	1	yes	characteristic
1427	#102	C₂²×D₁₇	1	1	yes	characteristic
1428	#102	C₂²×D₁₇	1	1	yes	characteristic
1429	#102	C₂²×D₁₇	1	1	yes	characteristic
1430	C₂²⋊C₈	—	17	1	no	—
1431	C₂²⋊C₈	—	17	1	no	—
1432	C₂²⋊C₈	—	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	C₂²×D₁₇	1	1	yes	characteristic
1441	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1442	#97	—	17	1	no	—
1443	#97	—	17	1	no	—
1444	#97	—	17	1	no	—
1445	#97	C₂²×D₁₇	1	1	yes	characteristic, complemented
1446	C₁₇	#61570	1	1	yes	characteristic, complemented, Sylow
1447	C₂⁴	—	2	1	no	—
1448	C₂⁴	—	17	1	no	—
1449	C₂⁴	—	17	1	no	—
1450	C₂⁴	—	34	1	no	—
1451	C₂⁴	—	34	1	no	—
1452	C₂⁴	—	34	1	no	—
1453	C₂⁴	—	34	1	no	—
1454	C₂⁴	—	34	1	no	—
1455	C₂⁴	—	68	4	no	—
1456	C₂⁴	—	68	4	no	—
1457	C₂⁴	—	136	2	no	—
1458	#41	—	2	2	no	—
1459	#41	—	4	1	no	—
1460	#41	—	34	2	no	—
1461	#41	—	34	2	no	—
1462	#41	—	34	2	no	—
1463	#41	—	68	1	no	—
1464	#41	—	68	4	no	—
1465	#41	—	68	1	no	—
1466	#41	—	68	1	no	—
1467	#41	—	68	4	no	—
1468	C₂×Q₈	—	2	1	no	—
1469	C₂×Q₈	—	17	1	no	—
1470	C₂×Q₈	—	17	1	no	—
1471	C₂×Q₈	—	17	1	no	—
1472	C₂×Q₈	—	17	1	no	—
1473	C₂×Q₈	—	34	1	no	—
1474	C₂×Q₈	—	34	1	no	—
1475	C₂×Q₈	—	34	1	no	—
1476	C₂×Q₈	—	34	1	no	—
1477	C₂×Q₈	—	34	1	no	—
1478	C₂×Q₈	—	34	1	no	—
1479	C₂×Q₈	—	68	1	no	—
1480	C₂×Q₈	—	68	1	no	—
1481	C₂×Q₈	—	68	1	no	—
1482	C₂×Q₈	—	68	1	no	—
1483	C₂×Q₈	—	68	1	no	—
1484	C₂×Q₈	—	68	1	no	—
1485	C₂×Q₈	—	68	1	no	—
1486	C₂×Q₈	—	68	1	no	—
1487	C₂×Q₈	—	68	1	no	—
1488	C₂×Q₈	—	68	1	no	—
1489	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1490	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1491	C₂×D₄	—	2	2	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	4	1	no	—
1496	C₂×D₄	—	17	1	no	—
1497	C₂×D₄	—	17	1	no	—
1498	C₂×D₄	—	17	1	no	—
1499	C₂×D₄	—	17	1	no	—
1500	C₂×D₄	—	17	1	no	—
1501	C₂×D₄	—	34	2	no	—
1502	C₂×D₄	—	34	1	no	—
1503	C₂×D₄	—	34	1	no	—
1504	C₂×D₄	—	34	1	no	—
1505	C₂×D₄	—	34	1	no	—
1506	C₂×D₄	—	34	1	no	—
1507	C₂×D₄	—	34	1	no	—
1508	C₂×D₄	—	34	2	no	—
1509	C₂×D₄	—	34	2	no	—
1510	C₂×D₄	—	34	4	no	—
1511	C₂×D₄	—	34	2	no	—
1512	C₂×D₄	—	34	2	no	—
1513	C₂×D₄	—	34	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	—	68	1	no	—
1519	C₂×D₄	—	68	1	no	—
1520	C₂×D₄	—	68	1	no	—
1521	C₂×D₄	—	68	1	no	—
1522	C₂×D₄	—	68	1	no	—
1523	C₂×D₄	—	68	4	no	—
1524	C₂×D₄	—	68	4	no	—
1525	C₂×D₄	—	68	4	no	—
1526	C₂×D₄	—	68	4	no	—
1527	C₂×D₄	—	136	2	no	—
1528	C₂×D₄	D₄×D₁₇	1	1	yes	characteristic
1529	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1530	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1531	C₂²×C₄	—	2	1	no	—
1532	C₂²×C₄	—	2	1	no	—
1533	C₂²×C₄	—	2	1	no	—
1534	C₂²×C₄	—	2	1	no	—
1535	C₂²×C₄	—	17	1	no	—
1536	C₂²×C₄	—	17	1	no	—
1537	C₂²×C₄	—	17	1	no	—
1538	C₂²×C₄	—	17	1	no	—
1539	C₂²×C₄	—	17	1	no	—
1540	C₂²×C₄	—	17	1	no	—
1541	C₂²×C₄	—	17	1	no	—
1542	C₂²×C₄	—	17	1	no	—
1543	C₂²×C₄	—	17	1	no	—
1544	C₂²×C₄	—	17	1	no	—
1545	C₂²×C₄	—	17	1	no	—
1546	C₂²×C₄	—	34	1	no	—
1547	C₂²×C₄	—	34	1	no	—
1548	C₂²×C₄	—	34	1	no	—
1549	C₂²×C₄	—	34	1	no	—
1550	C₂²×C₄	—	34	1	no	—
1551	C₂²×C₄	—	34	1	no	—
1552	C₂²×C₄	—	34	1	no	—
1553	C₂²×C₄	—	34	1	no	—
1554	C₂²×C₄	—	34	1	no	—
1555	C₂²×C₄	—	34	1	no	—
1556	C₂²×C₄	—	34	1	no	—
1557	C₂²×C₄	—	34	1	no	—
1558	C₂²×C₄	—	34	1	no	—
1559	C₂²×C₄	—	34	1	no	—
1560	C₂²×C₄	—	68	1	no	—
1561	C₂²×C₄	—	68	1	no	—
1562	C₂²×C₄	—	68	1	no	—
1563	C₂²×C₄	—	68	1	no	—
1564	C₂²×C₄	—	68	4	no	—
1565	C₂²×C₄	—	136	2	no	—
1566	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1567	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1568	Q₁₆	—	4	1	no	—
1569	Q₁₆	—	68	1	no	—
1570	Q₁₆	—	68	1	no	—
1571	Q₁₆	—	68	1	no	—
1572	Q₁₆	—	68	1	no	—
1573	Q₁₆	—	68	1	no	—
1574	Q₁₆	—	68	1	no	—
1575	Q₁₆	—	68	1	no	—
1576	SD₁₆	—	2	2	no	—
1577	SD₁₆	—	4	1	no	—
1578	SD₁₆	—	34	2	no	—
1579	SD₁₆	—	34	2	no	—
1580	SD₁₆	—	34	2	no	—
1581	SD₁₆	—	34	2	no	—
1582	SD₁₆	—	34	2	no	—
1583	SD₁₆	—	34	2	no	—
1584	SD₁₆	—	34	2	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	SD₁₆	—	68	1	no	—
1591	SD₁₆	—	68	1	no	—
1592	M₁₆	—	4	1	no	—
1593	M₁₆	—	68	1	no	—
1594	M₁₆	—	68	1	no	—
1595	M₁₆	—	68	1	no	—
1596	C₂×C₈	—	4	1	no	—
1597	C₂×C₈	—	17	1	no	—
1598	C₂×C₈	—	17	1	no	—
1599	C₂×C₈	—	17	1	no	—
1600	C₂×C₈	—	17	1	no	—
1601	C₂×C₈	—	68	1	no	—
1602	C₂×C₈	—	68	1	no	—
1603	C₂×C₈	—	68	1	no	—
1604	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1605	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1606	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1607	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1608	C₄⋊C₄	—	2	1	no	—
1609	C₄⋊C₄	—	2	1	no	—
1610	C₄⋊C₄	—	2	1	no	—
1611	C₄⋊C₄	—	2	1	no	—
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	17	1	no	—
1616	C₄⋊C₄	—	17	1	no	—
1617	C₄⋊C₄	—	17	1	no	—
1618	C₄⋊C₄	—	17	1	no	—
1619	C₄⋊C₄	—	17	1	no	—
1620	C₄⋊C₄	—	34	1	no	—
1621	C₄⋊C₄	—	34	1	no	—
1622	C₄⋊C₄	—	34	1	no	—
1623	C₄⋊C₄	—	34	1	no	—
1624	C₄⋊C₄	—	34	1	no	—
1625	C₄⋊C₄	—	34	1	no	—
1626	C₄⋊C₄	—	34	1	no	—
1627	C₄⋊C₄	—	34	1	no	—
1628	C₄⋊C₄	—	34	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	—	34	1	no	—
1639	C₄⋊C₄	—	34	1	no	—
1640	C₄⋊C₄	—	34	1	no	—
1641	C₄⋊C₄	—	34	1	no	—
1642	C₄⋊C₄	—	34	1	no	—
1643	C₄⋊C₄	—	34	1	no	—
1644	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1645	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1646	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1647	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1648	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
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	—	17	1	no	—
1657	C₂²⋊C₄	—	17	1	no	—
1658	C₂²⋊C₄	—	17	1	no	—
1659	C₂²⋊C₄	—	17	1	no	—
1660	C₂²⋊C₄	—	17	1	no	—
1661	C₂²⋊C₄	—	17	1	no	—
1662	C₂²⋊C₄	—	34	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	—	34	1	no	—
1683	C₂²⋊C₄	—	34	1	no	—
1684	C₂²⋊C₄	—	34	1	no	—
1685	C₂²⋊C₄	—	34	1	no	—
1686	C₂²⋊C₄	—	34	1	no	—
1687	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1688	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1689	C₄²	—	2	1	no	—
1690	C₄²	—	17	1	no	—
1691	C₄²	—	17	1	no	—
1692	C₄²	—	17	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	C₂³	—	2	1	no	—
1698	C₂³	—	2	1	no	—
1699	C₂³	—	4	2	no	—
1700	C₂³	—	4	2	no	—
1701	C₂³	—	8	1	no	—
1702	C₂³	—	17	1	no	—
1703	C₂³	—	17	1	no	—
1704	C₂³	—	17	4	no	—
1705	C₂³	—	17	1	no	—
1706	C₂³	—	34	2	no	—
1707	C₂³	—	34	4	no	—
1708	C₂³	—	34	1	no	—
1709	C₂³	—	34	1	no	—
1710	C₂³	—	68	1	no	—
1711	C₂³	—	68	1	no	—
1712	C₂³	—	68	1	no	—
1713	C₂³	—	68	1	no	—
1714	C₂³	—	68	2	no	—
1715	C₂³	—	68	2	no	—
1716	C₂³	—	68	2	no	—
1717	C₂³	—	68	2	no	—
1718	C₂³	—	68	2	no	—
1719	C₂³	—	68	2	no	—
1720	C₂³	—	68	2	no	—
1721	C₂³	—	68	2	no	—
1722	C₂³	—	68	2	no	—
1723	C₂³	—	68	2	no	—
1724	C₂³	—	68	2	no	—
1725	C₂³	—	136	1	no	—
1726	C₂³	—	136	1	no	—
1727	C₂³	—	136	1	no	—
1728	C₂³	—	136	16	no	—
1729	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1730	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1731	Q₈	—	2	1	no	—
1732	Q₈	—	2	1	no	—
1733	Q₈	—	2	1	no	—
1734	Q₈	—	2	1	no	—
1735	Q₈	—	8	1	no	—
1736	Q₈	—	34	1	no	—
1737	Q₈	—	34	1	no	—
1738	Q₈	—	34	1	no	—
1739	Q₈	—	34	1	no	—
1740	Q₈	—	34	1	no	—
1741	Q₈	—	34	1	no	—
1742	Q₈	—	34	1	no	—
1743	Q₈	—	34	1	no	—
1744	Q₈	—	68	2	no	—
1745	Q₈	—	136	1	no	—
1746	Q₈	—	136	1	no	—
1747	Q₈	—	136	1	no	—
1748	Q₈	—	136	1	no	—
1749	Q₈	—	136	1	no	—
1750	D₄	—	2	2	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	4	2	no	—
1755	D₄	—	4	2	no	—
1756	D₄	—	8	1	no	—
1757	D₄	—	17	2	no	—
1758	D₄	—	34	2	no	—
1759	D₄	—	34	2	no	—
1760	D₄	—	34	4	no	—
1761	D₄	—	34	2	no	—
1762	D₄	—	34	1	no	—
1763	D₄	—	34	1	no	—
1764	D₄	—	34	1	no	—
1765	D₄	—	68	2	no	—
1766	D₄	—	68	2	no	—
1767	D₄	—	68	2	no	—
1768	D₄	—	68	2	no	—
1769	D₄	—	68	2	no	—
1770	D₄	—	68	2	no	—
1771	D₄	—	68	2	no	—
1772	D₄	—	136	1	no	—
1773	D₄	—	136	1	no	—
1774	D₄	—	136	1	no	—
1775	D₄	#10587696	1	2	yes	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	2	1	no	—
1778	C₂×C₄	—	2	1	no	—
1779	C₂×C₄	—	2	1	no	—
1780	C₂×C₄	—	2	1	no	—
1781	C₂×C₄	—	2	1	no	—
1782	C₂×C₄	—	2	1	no	—
1783	C₂×C₄	—	2	1	no	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	4	2	no	—
1787	C₂×C₄	—	8	1	no	—
1788	C₂×C₄	—	8	1	no	—
1789	C₂×C₄	—	8	1	no	—
1790	C₂×C₄	—	17	1	no	—
1791	C₂×C₄	—	17	1	no	—
1792	C₂×C₄	—	17	1	no	—
1793	C₂×C₄	—	17	1	no	—
1794	C₂×C₄	—	17	1	no	—
1795	C₂×C₄	—	34	2	no	—
1796	C₂×C₄	—	34	1	no	—
1797	C₂×C₄	—	34	1	no	—
1798	C₂×C₄	—	34	1	no	—
1799	C₂×C₄	—	34	1	no	—
1800	C₂×C₄	—	34	1	no	—
1801	C₂×C₄	—	34	1	no	—
1802	C₂×C₄	—	34	1	no	—
1803	C₂×C₄	—	34	1	no	—
1804	C₂×C₄	—	34	1	no	—
1805	C₂×C₄	—	34	1	no	—
1806	C₂×C₄	—	34	1	no	—
1807	C₂×C₄	—	34	1	no	—
1808	C₂×C₄	—	68	1	no	—
1809	C₂×C₄	—	68	1	no	—
1810	C₂×C₄	—	68	1	no	—
1811	C₂×C₄	—	68	1	no	—
1812	C₂×C₄	—	68	1	no	—
1813	C₂×C₄	—	68	2	no	—
1814	C₂×C₄	—	68	2	no	—
1815	C₂×C₄	—	68	2	no	—
1816	C₂×C₄	—	68	2	no	—
1817	C₂×C₄	—	68	1	no	—
1818	C₂×C₄	—	68	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	—	136	1	no	—
1827	C₂×C₄	—	136	1	no	—
1828	C₂×C₄	—	136	1	no	—
1829	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1830	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1831	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1832	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1833	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1834	C₈	—	2	1	no	—
1835	C₈	—	2	1	no	—
1836	C₈	—	2	1	no	—
1837	C₈	—	2	1	no	—
1838	C₈	—	34	1	no	—
1839	C₈	—	34	1	no	—
1840	C₈	—	34	1	no	—
1841	C₈	—	34	1	no	—
1842	C₂²	—	2	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	2	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	8	4	no	—
1854	C₂²	—	17	2	no	—
1855	C₂²	—	17	2	no	—
1856	C₂²	—	34	1	no	—
1857	C₂²	—	34	1	no	—
1858	C₂²	—	34	1	no	—
1859	C₂²	—	34	1	no	—
1860	C₂²	—	34	1	no	—
1861	C₂²	—	34	2	no	—
1862	C₂²	—	34	1	no	—
1863	C₂²	—	34	1	no	—
1864	C₂²	—	68	4	no	—
1865	C₂²	—	68	8	no	—
1866	C₂²	—	68	1	no	—
1867	C₂²	—	68	1	no	—
1868	C₂²	—	68	1	no	—
1869	C₂²	—	68	1	no	—
1870	C₂²	—	68	1	no	—
1871	C₂²	—	136	4	no	—
1872	C₂²	—	136	2	no	—
1873	C₂²	—	136	4	no	—
1874	C₂²	—	136	4	no	—
1875	C₂²	—	136	4	no	—
1876	C₂²	#137×D₁₇	1	2	yes	—
1877	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1878	C₄	—	2	1	no	—
1879	C₄	—	2	1	no	—
1880	C₄	—	2	1	no	—
1881	C₄	—	2	1	no	—
1882	C₄	—	4	1	no	—
1883	C₄	—	4	1	no	—
1884	C₄	—	4	1	no	—
1885	C₄	—	4	1	no	—
1886	C₄	—	4	1	no	—
1887	C₄	—	4	1	no	—
1888	C₄	—	34	1	no	—
1889	C₄	—	34	1	no	—
1890	C₄	—	34	1	no	—
1891	C₄	—	34	1	no	—
1892	C₄	—	34	1	no	—
1893	C₄	—	68	1	no	—
1894	C₄	—	68	1	no	—
1895	C₄	—	68	1	no	—
1896	C₄	—	68	1	no	—
1897	C₄	—	68	1	no	—
1898	C₄	—	68	1	no	—
1899	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1900	C₄	C₂×#10587696	1	1	yes	characteristic
1901	C₂	—	2	2	no	—
1902	C₂	—	4	1	no	—
1903	C₂	—	4	2	no	—
1904	C₂	—	8	1	no	—
1905	C₂	—	34	2	no	—
1906	C₂	—	34	2	no	—
1907	C₂	—	68	1	no	—
1908	C₂	—	68	2	no	—
1909	C₂	—	136	1	no	—
1910	C₂	#14542414	1	1	yes	characteristic
1911	C₂	C₂×#137×D₁₇	1	1	yes	characteristic
1912	C₂	#14543559	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×#3314	C₂
socle	C₂²×C₁₇	C₂³×D₄
prime radical	D₁₇×#546	C₂
hypercenter	#3314	D₁₇
hypocenter	C₁₇	#61570
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3314

Complements

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

N	H ≅ G/N	type
1. #14542581	C₂	semidirect
3. #14540868	C₂	semidirect
4. #14540866	C₂	semidirect
5. #14540864	C₂	semidirect
6. #14540863	C₂	semidirect
7. #14540862	C₂	semidirect
8. #14540861	C₂	semidirect
9. #14540859	C₂	semidirect
10. #14540301	C₂	semidirect
11. #14540299	C₂	semidirect
12. #14540298	C₂	semidirect
13. #14540296	C₂	semidirect
14. #14540292	C₂	semidirect
15. #14540291	C₂	semidirect
16. #14540290	C₂	semidirect
17. #14540289	C₂	semidirect
18. #14539788	C₂	semidirect
19. #14539785	C₂	semidirect
20. #14539592	C₂	semidirect
21. #14539585	C₂	semidirect
22. #14539558	C₂	semidirect
23. #14539555	C₂	semidirect
24. #14538885	C₂	semidirect
25. #14538881	C₂	semidirect
26. #14538045	C₂	semidirect
27. #14538041	C₂	semidirect
28. C₂×#11762961	C₂	semidirect
29. D₁₇×#450	C₂	semidirect
30. #14537809	C₂	semidirect
31. C₁₇×#3314	C₂	semidirect
34. C₂×#10587595	C₂²	semidirect
35. C₂×#10587604	C₂²	semidirect
36. C₂×#10587637	C₂²	semidirect
37. C₂×#10587601	C₂²	semidirect
38. C₂²×#63219	C₂²	semidirect
39. C₂²×#63229	C₂²	semidirect
40. C₂×SD₁₆×D₁₇	C₂²	semidirect
41. C₂×SD₁₆×D₁₇	C₂²	semidirect
42. #11763520	C₂²	semidirect
47. #11763514	C₂²	semidirect
48. #11763514	C₂²	semidirect
49. Q₈×D₆₈	C₂²	semidirect
50. D₄×Dic₃₄	C₂²	semidirect
51. #11763472	C₂²	semidirect
52. #11763472	C₂²	semidirect
67. #11763364	C₂²	semidirect
68. #11763363	C₂²	semidirect
72. C₂×#10587583	C₂²	semidirect
75. C₂²⋊Q₈×D₁₇	C₂²	semidirect
83. #11763204	C₂²	semidirect
84. #11763203	C₂²	semidirect
85. #11763202	C₂²	semidirect
86. #11763200	C₂²	semidirect
87. #11763171	C₂²	semidirect
88. #11763170	C₂²	semidirect
89. #11763167	C₂²	semidirect
90. #11763146	C₂²	semidirect
91. #11763146	C₂²	semidirect
92. #11763146	C₂²	semidirect
93. #11763146	C₂²	semidirect
94. #11763144	C₂²	semidirect
95. #11763143	C₂²	semidirect
96. #11763143	C₂²	semidirect
97. #11763124	C₂²	semidirect
98. #11763122	C₂²	semidirect
99. #11763121	C₂²	semidirect
100. #11763088	C₂²	semidirect
101. #11763087	C₂²	semidirect
102. #11763086	C₂²	semidirect
103. #11763057	C₂²	semidirect
104. #11763056	C₂²	semidirect
105. #11763056	C₂²	semidirect
106. #11763055	C₂²	semidirect
107. #11763054	C₂²	semidirect
108. #11763054	C₂²	semidirect
109. #11763053	C₂²	semidirect
110. #11763051	C₂²	semidirect
111. #11763051	C₂²	semidirect
112. #11763050	C₂²	semidirect
113. #11763049	C₂²	semidirect
114. #11763049	C₂²	semidirect
115. #11763048	C₂²	semidirect
116. #11763048	C₂²	semidirect
117. #11763034	C₂²	semidirect
118. #11763034	C₂²	semidirect
119. #11763032	C₂²	semidirect
120. #11763031	C₂²	semidirect
121. #11763030	C₂²	semidirect
122. #11763030	C₂²	semidirect
123. #11763028	C₂²	semidirect
124. #11763015	C₂²	semidirect
125. #11763014	C₂²	semidirect
126. #11763013	C₂²	semidirect
127. #11763012	C₂²	semidirect
128. #11762974	C₂²	semidirect
129. #11762974	C₂²	semidirect
130. #11762973	C₂²	semidirect
131. #11762972	C₂²	semidirect
132. #11762972	C₂²	semidirect
133. #11762971	C₂²	semidirect
134. #11762969	C₂²	semidirect
135. #11762967	C₂²	semidirect
136. #11762966	C₂²	semidirect
137. #11762966	C₂²	semidirect
138. #11762966	C₂²	semidirect
139. #11762966	C₂²	semidirect
140. #11762964	C₂²	semidirect
141. #11762963	C₂²	semidirect
142. #11762963	C₂²	semidirect
143. #11762962	C₂²	semidirect
150. #11762961	C₂²	semidirect
151. #11762961	C₂²	semidirect
152. #11762961	C₂²	semidirect
153. #11762961	C₂²	semidirect
154. #11762960	C₂²	semidirect
155. #11762959	C₂²	semidirect
158. #11762950	C₂²	semidirect
159. #11762949	C₂²	semidirect
160. #11762947	C₂²	semidirect
161. #11762946	C₂²	semidirect
162. #11762911	C₂²	semidirect
163. #11762909	C₂²	semidirect
164. #11762908	C₂²	semidirect
165. #11762908	C₂²	semidirect
166. #11762907	C₂²	semidirect
167. #11762906	C₂²	semidirect
168. #11762906	C₂²	semidirect
169. #11762883	C₂²	semidirect
170. #11762882	C₂²	semidirect
171. #11762881	C₂²	semidirect
172. #11762880	C₂²	semidirect
173. #11762879	C₂²	semidirect
174. #11762878	C₂²	semidirect
175. #11762877	C₂²	semidirect
176. #11762865	C₂²	semidirect
177. #11762864	C₂²	semidirect
178. #11762809	C₂²	semidirect
179. #11762808	C₂²	semidirect
180. #11762807	C₂²	semidirect
181. C₂×#10587480	C₂²	semidirect
182. #102×D₁₇	C₂²	semidirect
183. #102×D₁₇	C₂²	semidirect
184. #11762772	C₂²	semidirect
185. #11762771	C₂²	semidirect
188. C₁₇×#554	C₂²	semidirect
190. C₁₇×#489	C₂²	semidirect
191. C₁₇×#484	C₂²	semidirect
192. C₁₇×#480	C₂²	semidirect
193. C₁₇×#474	C₂²	semidirect
194. C₁₇×#468	C₂²	semidirect
195. C₁₇×#467	C₂²	semidirect
196. C₁₇×#464	C₂²	semidirect
197. C₁₇×#452	C₂²	semidirect
198. C₁₇×#450	C₂²	semidirect
199. C₁₇×#440	C₂²	semidirect
200. C₁₇×#435	C₂²	semidirect
201. C₁₇×#417	C₂²	semidirect
202. C₂×C₁₇×#102	C₂²	semidirect
212. C₂×Q₈×D₁₇	C₂³	semidirect
234. C₂²×Dic₃₄	C₂³	semidirect
235. C₂×Q₁₆×C₁₇	C₂³	semidirect
238. C₂×M₁₆×C₁₇	C₂³	semidirect
240. C₁₇×C₄⋊Q₈	C₂³	semidirect
248. C₁₇×C₂²⋊Q₈	C₂³	semidirect
252. C₄×Q₈×C₁₇	C₂³	semidirect
257. C₂×C₄⋊C₄×C₁₇	C₂³	semidirect
269. #10587630	C₂³	semidirect
270. C₂×#63231	C₂³	semidirect
271. C₂×#63231	C₂³	semidirect
272. C₂×#63231	C₂³	semidirect
273. C₂×#63231	C₂³	semidirect
314. #10587610	C₂³	semidirect
315. C₂×#63223	C₂³	semidirect
322. C₂×Dic₆₈	C₂³	semidirect
323. C₂×Dic₆₈	C₂³	semidirect
324. C₂×Dic₆₈	C₂³	semidirect
332. C₂×#63218	C₂³	semidirect
333. C₂×#63218	C₂³	semidirect
348. #10587583	C₂³	semidirect
349. #10587583	C₂³	semidirect
372. C₄⋊C₄×D₁₇	C₂³	semidirect
381. #10587574	C₂³	semidirect
382. #10587573	C₂³	semidirect
383. #10587573	C₂³	semidirect
427. #10587555	C₂³	semidirect
429. C₄×Dic₃₄	C₂³	semidirect
430. C₁₇×#107	C₂³	semidirect
431. C₁₇×#107	C₂³	semidirect
432. C₁₇×#107	C₂³	semidirect
433. C₁₇×C₄⋊C₈	C₂³	semidirect
434. C₁₇×#103	C₂³	semidirect
435. C₁₇×#103	C₂³	semidirect
436. C₁₇×#103	C₂³	semidirect
437. C₁₇×#103	C₂³	semidirect
445. C₁₇×C₂²⋊C₈	C₂³	semidirect
446. C₁₇×#97	C₂³	semidirect
447. #10587506	C₂³	semidirect
448. #10587506	C₂³	semidirect
452. C₂²⋊#3622	C₂³	semidirect
461. #10587491	C₂³	semidirect
462. #10587491	C₂³	semidirect
463. #10587489	C₂³	semidirect
464. #10587487	C₂³	semidirect
465. #10587487	C₂³	semidirect
466. #10587487	C₂³	semidirect
467. #10587487	C₂³	semidirect
468. #10587486	C₂³	semidirect
469. #10587486	C₂³	semidirect
470. #10587485	C₂³	semidirect
471. #10587485	C₂³	semidirect
472. #10587481	C₂³	semidirect
473. #10587481	C₂³	semidirect
474. #10587481	C₂³	semidirect
475. #10587481	C₂³	semidirect
476. #10587481	C₂³	semidirect
477. #10587481	C₂³	semidirect
484. #10587478	C₂³	semidirect
485. #10587478	C₂³	semidirect
486. #10587478	C₂³	semidirect
487. #10587478	C₂³	semidirect
488. C₄⋊#3622	C₂³	semidirect
489. #10587474	C₂³	semidirect
771. C₂²×D₁₇	#137	semidirect
895. #3314	D₁₇	semidirect
993. #554	C₂×D₁₇	semidirect
1036. #489	C₂×D₁₇	semidirect
1044. #484	C₂×D₁₇	semidirect
1048. #480	C₂×D₁₇	semidirect
1052. #474	C₂×D₁₇	semidirect
1060. #468	C₂×D₁₇	semidirect
1068. #467	C₂×D₁₇	semidirect
1076. #464	C₂×D₁₇	semidirect
1088. #452	C₂×D₁₇	semidirect
1112. #450	C₂×D₁₇	semidirect
1124. #440	C₂×D₁₇	semidirect
1132. #435	C₂×D₁₇	semidirect
1138. #417	C₂×D₁₇	semidirect
1142. C₂×#102	C₂×D₁₇	semidirect
1202. C₂×Q₁₆	C₂²×D₁₇	semidirect
1226. C₂×M₁₆	C₂²×D₁₇	semidirect
1238. C₄⋊Q₈	C₂²×D₁₇	semidirect
1302. C₂²⋊Q₈	C₂²×D₁₇	semidirect
1330. C₄×Q₈	C₂²×D₁₇	semidirect
1365. C₂×C₄⋊C₄	C₂²×D₁₇	semidirect
1391. #107	C₂²×D₁₇	semidirect
1392. #107	C₂²×D₁₇	semidirect
1393. #107	C₂²×D₁₇	semidirect
1397. C₄⋊C₈	C₂²×D₁₇	semidirect
1410. #103	C₂²×D₁₇	semidirect
1411. #103	C₂²×D₁₇	semidirect
1412. #103	C₂²×D₁₇	semidirect
1413. #103	C₂²×D₁₇	semidirect
1441. C₂²⋊C₈	C₂²×D₁₇	semidirect
1445. #97	C₂²×D₁₇	semidirect
1446. C₁₇	#61570	semidirect

Maximal subgroups

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

subgroup	index
#14542581	2
D₁₇×#546	2
#14540868	2
#14540866	2
#14540864	2
#14540863	2
#14540862	2
#14540861	2
#14540859	2
#14540301	2
#14540299	2
#14540298	2
#14540296	2
#14540292	2
#14540291	2
#14540290	2
#14540289	2
#14539788	2
#14539785	2
#14539592	2
#14539585	2
#14539558	2
#14539555	2
#14538885	2
#14538881	2
#14538045	2
#14538041	2
C₂×#11762961	2
D₁₇×#450	2
#14537809	2
C₁₇×#3314	2
#61570	17