Subgroups — #17915923

Order 4352.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542346	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#63252	C₂	1	1	yes	maximal, characteristic, complemented
3	#14541805	C₂	1	1	yes	maximal, characteristic, complemented
4	#14541684	C₂	1	1	yes	maximal, characteristic, complemented
5	#14541503	C₂	1	1	yes	maximal, characteristic, complemented
6	#14541492	C₂	1	1	yes	maximal, characteristic, complemented
7	#14541375	C₂	1	1	yes	maximal, characteristic, complemented
8	#14541229	C₂	1	1	yes	maximal, characteristic, complemented
9	#14541225	C₂	1	1	yes	maximal, characteristic, complemented
10	#14541085	C₂	1	1	yes	maximal, characteristic, complemented
11	#14541022	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540810	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540806	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540750	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540746	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540378	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540266	C₂	1	1	yes	maximal, characteristic, complemented
18	#14540258	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539379	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539375	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539340	C₂	1	1	yes	maximal, characteristic, complemented
22	#14538844	C₂	1	1	yes	maximal, characteristic, complemented
23	#14538840	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538835	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538831	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538790	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538782	C₂	1	1	yes	maximal, characteristic, complemented
28	#14537746	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#10587597	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₈×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#63252	—	2	1	no	—
33	C₂×#10587597	C₂²	1	1	yes	characteristic
34	C₂×D₈×D₁₇	C₂²	1	1	yes	characteristic
35	#11763531	C₂²	1	1	yes	characteristic, complemented
36	#11763522	C₂²	1	1	yes	characteristic, complemented
37	#11763518	C₂²	1	1	yes	characteristic, complemented
38	#11763508	—	2	1	no	—
39	#11763500	C₂²	1	1	yes	characteristic, complemented
40	#11763498	C₂²	1	1	yes	characteristic, complemented
41	#11763492	—	2	1	no	—
42	#11763488	—	2	1	no	—
43	#11763483	—	2	1	no	—
44	#11763480	C₂²	1	1	yes	characteristic, complemented
45	D₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
46	#11763468	—	2	1	no	—
47	#11763464	C₂²	1	1	yes	characteristic
48	#11763460	C₂²	1	1	yes	characteristic
49	#11763460	C₂²	1	1	yes	characteristic, complemented
50	#11763458	C₂²	1	1	yes	characteristic, complemented
51	#11763455	—	2	1	no	—
52	#11763454	C₂²	1	1	yes	characteristic, complemented
53	#11763449	—	2	1	no	—
54	#11763449	—	2	1	no	—
55	#11763447	C₂²	1	1	yes	characteristic, complemented
56	D₄×D₆₈	C₂²	1	1	yes	characteristic
57	D₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
58	D₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
59	#11763363	C₂²	1	1	yes	characteristic, complemented
60	#11763359	C₂²	1	1	yes	characteristic, complemented
61	#11763356	C₂²	1	1	yes	characteristic
62	#11763356	C₂²	1	1	yes	characteristic, complemented
63	#11763346	C₂²	1	1	yes	characteristic, complemented
64	#11763343	—	2	1	no	—
65	#11763343	C₂²	1	1	yes	characteristic, complemented
66	#11763339	—	2	1	no	—
67	#11763320	—	2	1	no	—
68	#11763318	—	2	1	no	—
69	#11763318	—	2	1	no	—
70	#11763318	—	2	1	no	—
71	C₄×#63252	C₂²	1	1	yes	characteristic
72	C₄×#63254	C₂²	1	1	yes	characteristic, complemented
73	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
75	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
76	C₂×#10587558	—	2	1	no	—
77	#11763218	C₂²	1	1	yes	characteristic, complemented
78	#11763216	C₂²	1	1	yes	characteristic, complemented
79	#11763206	C₂²	1	1	yes	characteristic, complemented
80	#11763198	C₂²	1	1	yes	characteristic, complemented
81	#11763195	C₂²	1	1	yes	characteristic, complemented
82	#11763180	C₂²	1	1	yes	characteristic, complemented
83	#11763174	C₂²	1	1	yes	characteristic, complemented
84	#11763172	C₂²	1	1	yes	characteristic, complemented
85	#11763170	C₂²	1	1	yes	characteristic, complemented
86	#11763169	C₂²	1	1	yes	characteristic, complemented
87	#11763158	C₂²	1	1	yes	characteristic, complemented
88	#11763154	C₂²	1	1	yes	characteristic, complemented
89	#11763144	C₂²	1	1	yes	characteristic, complemented
90	#11763143	C₂²	1	1	yes	characteristic, complemented
91	#11763141	C₂²	1	1	yes	characteristic, complemented
92	#11763138	C₂²	1	1	yes	characteristic, complemented
93	#11763136	C₂²	1	1	yes	characteristic, complemented
94	#11763133	C₂²	1	1	yes	characteristic, complemented
95	#11763133	C₂²	1	1	yes	characteristic, complemented
96	#11763132	C₂²	1	1	yes	characteristic, complemented
97	#11763129	C₂²	1	1	yes	characteristic, complemented
98	#11763127	C₂²	1	1	yes	characteristic, complemented
99	#11763124	C₂²	1	1	yes	characteristic, complemented
100	#11763121	C₂²	1	1	yes	characteristic, complemented
101	#11763109	C₂²	1	1	yes	characteristic, complemented
102	#11763109	C₂²	1	1	yes	characteristic, complemented
103	#11763108	C₂²	1	1	yes	characteristic, complemented
104	#11763107	C₂²	1	1	yes	characteristic, complemented
105	#11763104	C₂²	1	1	yes	characteristic, complemented
106	#11763103	C₂²	1	1	yes	characteristic, complemented
107	#11763099	C₂²	1	1	yes	characteristic, complemented
108	#11763098	C₂²	1	1	yes	characteristic, complemented
109	#11763097	C₂²	1	1	yes	characteristic, complemented
110	#11763097	C₂²	1	1	yes	characteristic, complemented
111	#11763088	C₂²	1	1	yes	characteristic, complemented
112	#11763087	C₂²	1	1	yes	characteristic, complemented
113	#11763063	C₂²	1	1	yes	characteristic, complemented
114	#11763062	C₂²	1	1	yes	characteristic, complemented
115	#11763062	C₂²	1	1	yes	characteristic, complemented
116	#11763061	C₂²	1	1	yes	characteristic, complemented
117	#11763058	C₂²	1	1	yes	characteristic, complemented
118	#11763055	C₂²	1	1	yes	characteristic, complemented
119	#11763055	C₂²	1	1	yes	characteristic, complemented
120	#11763052	C₂²	1	1	yes	characteristic, complemented
121	#11763041	C₂²	1	1	yes	characteristic, complemented
122	#11763039	C₂²	1	1	yes	characteristic, complemented
123	#11763037	C₂²	1	1	yes	characteristic, complemented
124	#11763035	C₂²	1	1	yes	characteristic, complemented
125	#11763027	C₂²	1	1	yes	characteristic, complemented
126	#11763026	C₂²	1	1	yes	characteristic
127	#11763024	C₂²	1	1	yes	characteristic
128	#11763024	C₂²	1	1	yes	characteristic, complemented
129	#11763013	C₂²	1	1	yes	characteristic, complemented
130	#11763012	C₂²	1	1	yes	characteristic, complemented
131	#11763009	C₂²	1	1	yes	characteristic, complemented
132	#11763008	C₂²	1	1	yes	characteristic, complemented
133	#11763004	C₂²	1	1	yes	characteristic, complemented
134	#11763003	C₂²	1	1	yes	characteristic, complemented
135	#11763002	C₂²	1	1	yes	characteristic, complemented
136	#11763002	C₂²	1	1	yes	characteristic, complemented
137	#11762961	C₂²	1	1	yes	characteristic
138	#11762960	C₂²	1	1	yes	characteristic, complemented
139	#11762958	C₂²	1	1	yes	characteristic
140	#11762958	C₂²	1	1	yes	characteristic, complemented
141	#11762955	C₂²	1	1	yes	characteristic, complemented
142	#11762954	C₂²	1	1	yes	characteristic, complemented
143	#11762954	C₂²	1	1	yes	characteristic, complemented
144	#11762951	C₂²	1	1	yes	characteristic, complemented
145	#11762944	C₂²	1	1	yes	characteristic
146	#11762944	C₂²	1	1	yes	characteristic, complemented
147	#11762943	C₂²	1	1	yes	characteristic
148	#11762941	C₂²	1	1	yes	characteristic, complemented
149	#11762937	C₂²	1	1	yes	characteristic, complemented
150	#11762937	C₂²	1	1	yes	characteristic, complemented
151	#11762921	C₂²	1	1	yes	characteristic
152	#11762918	C₂²	1	1	yes	characteristic, complemented
153	#11762908	C₂²	1	1	yes	characteristic, complemented
154	#11762906	C₂²	1	1	yes	characteristic, complemented
155	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
156	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
157	C₄×#63230	C₂²	1	1	yes	characteristic, complemented
158	C₄×#63230	C₂²	1	1	yes	characteristic, complemented
159	C₄×#63229	C₂²	1	1	yes	characteristic, complemented
160	C₄×#63229	C₂²	1	1	yes	characteristic, complemented
161	C₄×D₁₃₆	C₂²	1	1	yes	characteristic, complemented
162	C₄×D₁₃₆	C₂²	1	1	yes	characteristic, complemented
163	D₈×Dic₁₇	C₂²	1	1	yes	characteristic
164	#11762891	C₂²	1	1	yes	characteristic, complemented
165	C₄×#63228	C₂²	1	1	yes	characteristic
166	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
167	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
168	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
169	#11762889	C₂²	1	1	yes	characteristic
170	#11762889	C₂²	1	1	yes	characteristic, complemented
171	#11762885	C₂²	1	1	yes	characteristic, complemented
172	#11762885	C₂²	1	1	yes	characteristic, complemented
173	#11762882	C₂²	1	1	yes	characteristic, complemented
174	#11762882	C₂²	1	1	yes	characteristic, complemented
175	#11762878	C₂²	1	1	yes	characteristic, complemented
176	#11762878	C₂²	1	1	yes	characteristic, complemented
177	#11762862	C₂²	1	1	yes	characteristic, complemented
178	#11762860	C₂²	1	1	yes	characteristic, complemented
179	#11762860	C₂²	1	1	yes	characteristic, complemented
180	#11762850	C₂²	1	1	yes	characteristic, complemented
181	#107×D₁₇	C₂²	1	1	yes	characteristic, complemented
182	#11762812	C₂²	1	1	yes	characteristic, complemented
183	#11762807	C₂²	1	1	yes	characteristic, complemented
184	#102×D₁₇	C₂²	1	1	yes	characteristic
185	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
186	C₄×#63218	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₁₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
189	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#442	C₂²	1	1	yes	characteristic
192	C₁₇×#442	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
195	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
196	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
197	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic
198	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#428	C₂²	1	1	yes	characteristic, complemented
200	C₁₇×#418	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#417	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₇	—	2	1	no	—
206	C₂²×C₂²⋊D₁₇	—	2	1	no	—
207	C₂²×C₂²⋊D₁₇	—	2	1	no	—
208	C₂×#63254	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
212	C₂×#63252	—	2	1	no	—
213	C₂×#63252	—	2	1	no	—
214	C₂×#63252	—	2	1	no	—
215	C₂×#63252	—	2	1	no	—
216	C₂×#63252	—	2	1	no	—
217	C₂×#63252	—	2	1	no	—
218	C₂×#63252	—	2	1	no	—
219	C₂×#63252	—	4	8	no	—
220	C₂×#63252	D₄	1	1	yes	characteristic
221	C₂²×D₆₈	—	2	1	no	—
222	C₂²×C₄×D₁₇	—	2	1	no	—
223	C₂²×C₄×D₁₇	—	2	1	no	—
224	C₂²×C₄×D₁₇	—	2	1	no	—
225	C₂²×Dic₃₄	—	2	1	no	—
226	C₁₇×AGL(1,ℤ/8)	—	2	4	no	—
227	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
230	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
232	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₇	—	2	1	no	—
236	C₄×D₄×C₁₇	—	2	1	no	—
237	C₄×D₄×C₁₇	—	2	1	no	—
238	C₄×D₄×C₁₇	—	2	1	no	—
239	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
245	C₁₇×#117	—	2	1	no	—
246	C₁₇×#117	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
249	C₂×C₄²×C₁₇	—	2	1	no	—
250	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
251	#10587639	—	2	1	no	—
252	#10587639	—	2	1	no	—
253	#10587633	C₂³	1	1	yes	characteristic
254	#10587632	C₂³	1	1	yes	characteristic
255	#10587632	C₂³	1	1	yes	characteristic
256	#10587630	C₂³	1	1	yes	characteristic
257	C₂×#63230	C₂³	1	1	yes	characteristic
258	C₂×#63230	C₂³	1	1	yes	characteristic
259	#10587626	C₂³	1	1	yes	characteristic
260	#10587626	C₂³	1	1	yes	characteristic
261	#10587625	—	2	1	no	—
262	#10587625	—	2	1	no	—
263	#10587625	—	2	1	no	—
264	#10587625	—	2	1	no	—
265	#10587624	C₂³	1	1	yes	characteristic
266	#10587624	C₂³	1	1	yes	characteristic
267	#10587623	—	2	1	no	—
268	#10587623	—	2	1	no	—
269	#10587623	—	2	1	no	—
270	#10587621	—	2	1	no	—
271	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
272	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
273	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
274	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
275	C₂×#63229	C₂³	1	1	yes	characteristic
276	C₂×#63229	C₂³	1	1	yes	characteristic
277	C₂×#63228	C₂³	1	1	yes	characteristic
278	C₂×#63228	C₂³	1	1	yes	characteristic
279	C₂×#63228	C₂³	1	1	yes	characteristic
280	C₂×#63228	C₂³	1	1	yes	characteristic
281	#10587616	—	2	1	no	—
282	#10587616	—	2	1	no	—
283	#10587616	—	2	1	no	—
284	#10587616	—	2	1	no	—
285	#10587616	C₂³	1	1	yes	characteristic
286	#10587616	C₂³	1	1	yes	characteristic
287	#10587616	C₂³	1	1	yes	characteristic
288	#10587615	—	2	1	no	—
289	#10587615	—	2	1	no	—
290	#10587615	—	2	1	no	—
291	#10587615	—	2	1	no	—
292	#10587615	—	2	1	no	—
293	C₄×C₂²⋊D₁₇	—	2	1	no	—
294	C₄×C₂²⋊D₁₇	—	2	1	no	—
295	C₄×C₂²⋊D₁₇	—	2	1	no	—
296	C₄×C₂²⋊D₁₇	—	2	1	no	—
297	C₄×C₂²⋊D₁₇	—	2	1	no	—
298	C₄×C₂²⋊D₁₇	—	2	1	no	—
299	C₄×C₂²⋊D₁₇	—	2	1	no	—
300	C₄×C₂²⋊D₁₇	D₄	1	1	yes	characteristic
301	C₄×C₂²⋊D₁₇	D₄	1	1	yes	characteristic
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	#10587612	D₄	1	1	yes	characteristic
307	#10587610	—	2	1	no	—
308	#10587610	—	2	1	no	—
309	#10587610	—	2	1	no	—
310	#10587610	C₂³	1	1	yes	characteristic
311	C₂×#63225	—	2	1	no	—
312	C₂×#63225	—	2	1	no	—
313	C₂×C₄×Dic₁₇	—	2	1	no	—
314	#10587597	—	2	4	no	—
315	D₈×D₁₇	—	2	4	no	—
316	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
317	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
318	C₂×#63219	C₂³	1	1	yes	characteristic
319	C₂×#63219	C₂³	1	1	yes	characteristic
320	C₂×#63218	C₂³	1	1	yes	characteristic
321	C₂×#63218	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
324	#10587584	—	2	1	no	—
325	#10587584	—	2	1	no	—
326	#10587583	C₂³	1	1	yes	characteristic
327	#10587582	—	2	1	no	—
328	#10587582	—	2	1	no	—
329	#10587582	—	2	1	no	—
330	#10587582	—	2	1	no	—
331	#10587581	C₂³	1	1	yes	characteristic
332	#10587581	C₂³	1	1	yes	characteristic
333	#10587581	C₂³	1	1	yes	characteristic
334	#10587580	—	2	1	no	—
335	#10587580	—	2	1	no	—
336	#10587580	—	2	1	no	—
337	#10587580	—	2	1	no	—
338	#10587579	C₂³	1	1	yes	characteristic
339	#10587579	C₂³	1	1	yes	characteristic
340	#10587579	C₂³	1	1	yes	characteristic
341	#10587578	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
344	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
345	#10587576	C₂³	1	1	yes	characteristic
346	#10587575	—	2	1	no	—
347	#10587575	—	2	1	no	—
348	#10587574	C₂³	1	1	yes	characteristic
349	#10587574	C₂³	1	1	yes	characteristic
350	#10587574	C₂³	1	1	yes	characteristic
351	#10587573	C₂³	1	1	yes	characteristic
352	#10587572	—	2	1	no	—
353	#10587571	—	2	1	no	—
354	#10587571	—	2	1	no	—
355	#10587571	—	2	1	no	—
356	#10587570	—	2	1	no	—
357	#10587570	—	2	1	no	—
358	#10587570	—	2	1	no	—
359	#10587570	—	2	1	no	—
360	#10587570	—	2	1	no	—
361	#10587569	—	2	1	no	—
362	#10587569	—	2	1	no	—
363	#10587569	—	2	1	no	—
364	#10587568	—	2	1	no	—
365	#10587568	—	2	1	no	—
366	#10587568	—	2	1	no	—
367	#10587567	—	2	1	no	—
368	#10587567	—	2	1	no	—
369	#10587567	—	2	1	no	—
370	#10587567	—	2	1	no	—
371	C₂²⋊C₄×D₁₇	—	2	1	no	—
372	C₂²⋊C₄×D₁₇	—	2	1	no	—
373	C₂²⋊C₄×D₁₇	—	2	1	no	—
374	#10587565	—	2	1	no	—
375	#10587564	—	2	1	no	—
376	#10587564	—	2	1	no	—
377	#10587564	—	2	1	no	—
378	#10587564	—	2	1	no	—
379	#10587563	—	2	1	no	—
380	#10587562	—	2	1	no	—
381	#10587562	—	2	1	no	—
382	#10587562	—	2	1	no	—
383	#10587561	—	2	1	no	—
384	#10587561	—	2	1	no	—
385	#10587561	C₂³	1	1	yes	characteristic
386	#10587560	C₂³	1	1	yes	characteristic
387	C₄×D₆₈	—	2	1	no	—
388	C₄×D₆₈	—	2	1	no	—
389	C₄×D₆₈	D₄	1	1	yes	characteristic
390	C₄×D₆₈	C₂³	1	1	yes	characteristic
391	C₄×D₆₈	C₂³	1	1	yes	characteristic
392	C₄×D₆₈	C₂³	1	1	yes	characteristic
393	C₄×D₆₈	C₂³	1	1	yes	characteristic
394	#10587558	—	2	1	no	—
395	#10587558	—	2	1	no	—
396	#10587558	—	2	1	no	—
397	#10587558	—	2	1	no	—
398	#10587558	—	2	1	no	—
399	#10587558	—	2	1	no	—
400	#10587558	—	2	1	no	—
401	#10587558	D₄	1	1	yes	characteristic
402	#10587558	D₄	1	1	yes	characteristic
403	C₄²×D₁₇	C₂³	1	1	yes	characteristic
404	C₄²×D₁₇	C₂³	1	1	yes	characteristic
405	#10587556	—	2	1	no	—
406	#10587556	C₂³	1	1	yes	characteristic
407	#10587555	C₂³	1	1	yes	characteristic
408	C₄×Dic₃₄	—	2	1	no	—
409	C₄×Dic₃₄	D₄	1	1	yes	characteristic
410	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
411	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
412	C₁₇×#107	C₂³	1	1	yes	characteristic
413	C₁₇×#107	C₂³	1	1	yes	characteristic
414	C₁₇×#106	C₂³	1	1	yes	characteristic
415	C₁₇×#106	C₂³	1	1	yes	characteristic
416	C₁₇×#103	C₂³	1	1	yes	characteristic
417	C₁₇×#103	C₂³	1	1	yes	characteristic
418	C₁₇×#102	C₂³	1	1	yes	characteristic
419	C₁₇×#102	C₂³	1	1	yes	characteristic
420	C₁₇×#102	C₂³	1	1	yes	characteristic
421	C₁₇×#102	C₂³	1	1	yes	characteristic
422	C₁₇×#102	C₂³	1	1	yes	characteristic
423	C₁₇×#102	C₂³	1	1	yes	characteristic
424	C₁₇×#97	C₂³	1	1	yes	characteristic
425	C₁₇×#97	C₂³	1	1	yes	characteristic
426	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
427	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
428	#10587506	C₂³	1	1	yes	characteristic
429	#10587506	C₂³	1	1	yes	characteristic
430	#10587503	C₂³	1	1	yes	characteristic
431	#10587503	C₂³	1	1	yes	characteristic
432	#10587503	C₂³	1	1	yes	characteristic
433	#10587503	C₂³	1	1	yes	characteristic
434	#10587503	C₂³	1	1	yes	characteristic
435	#10587503	C₂³	1	1	yes	characteristic
436	C₂²⋊#3622	C₂³	1	1	yes	characteristic
437	C₂²⋊#3622	C₂³	1	1	yes	characteristic
438	#10587492	C₂³	1	1	yes	characteristic
439	#10587492	C₂³	1	1	yes	characteristic
440	#10587492	C₂³	1	1	yes	characteristic
441	#10587492	C₂³	1	1	yes	characteristic
442	#10587492	C₂³	1	1	yes	characteristic
443	#10587492	C₂³	1	1	yes	characteristic
444	#10587491	C₂³	1	1	yes	characteristic
445	#10587491	C₂³	1	1	yes	characteristic
446	#10587491	C₂³	1	1	yes	characteristic
447	#10587491	C₂³	1	1	yes	characteristic
448	#10587489	C₂³	1	1	yes	characteristic
449	#10587489	C₂³	1	1	yes	characteristic
450	#10587488	C₂³	1	1	yes	characteristic
451	#10587488	C₂³	1	1	yes	characteristic
452	#10587487	C₂³	1	1	yes	characteristic
453	#10587487	C₂³	1	1	yes	characteristic
454	#10587486	C₂³	1	1	yes	characteristic
455	#10587486	C₂³	1	1	yes	characteristic
456	#10587485	C₂³	1	1	yes	characteristic
457	#10587485	C₂³	1	1	yes	characteristic
458	#10587485	C₂³	1	1	yes	characteristic
459	#10587485	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
461	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
462	#10587481	C₂³	1	1	yes	characteristic
463	#10587481	C₂³	1	1	yes	characteristic
464	#10587480	C₂³	1	1	yes	characteristic
465	#10587480	C₂³	1	1	yes	characteristic
466	#10587480	C₂³	1	1	yes	characteristic
467	#10587480	C₂³	1	1	yes	characteristic
468	#10587480	C₂³	1	1	yes	characteristic
469	#10587480	C₂³	1	1	yes	characteristic
470	#10587479	C₂³	1	1	yes	characteristic
471	#10587479	C₂³	1	1	yes	characteristic
472	#10587479	C₂³	1	1	yes	characteristic
473	#10587479	C₂³	1	1	yes	characteristic
474	#10587478	C₂³	1	1	yes	characteristic
475	#10587478	C₂³	1	1	yes	characteristic
476	#10587478	C₂³	1	1	yes	characteristic
477	#10587478	C₂³	1	1	yes	characteristic
478	C₄⋊#3622	C₂³	1	1	yes	characteristic
479	C₄⋊#3622	C₂³	1	1	yes	characteristic
480	C₄×#3622	C₂³	1	1	yes	characteristic
481	C₄×#3622	C₂³	1	1	yes	characteristic
482	C₂⁴×C₁₇	—	2	1	no	—
483	C₂³×D₁₇	—	2	1	no	—
484	C₂³×D₁₇	—	2	1	no	—
485	C₂³×D₁₇	—	2	1	no	—
486	#41×C₁₇	—	2	2	no	—
487	#41×C₁₇	—	4	1	no	—
488	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
489	C₂×D₄×C₁₇	—	2	2	no	—
490	C₂×D₄×C₁₇	—	2	1	no	—
491	C₂×D₄×C₁₇	—	2	1	no	—
492	C₂×D₄×C₁₇	—	4	1	no	—
493	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₁₇	—	2	1	no	—
497	C₂²×C₄×C₁₇	—	2	1	no	—
498	C₂²×C₄×C₁₇	—	2	1	no	—
499	C₂²×C₄×C₁₇	—	2	1	no	—
500	C₂²×C₄×C₁₇	—	2	1	no	—
501	C₂²×C₄×C₁₇	—	2	1	no	—
502	C₂²×C₄×C₁₇	—	2	1	no	—
503	C₂²×C₄×C₁₇	—	2	1	no	—
504	C₂²×C₄×C₁₇	—	4	4	no	—
505	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
506	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
507	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₇	—	2	1	no	—
509	C₂×C₂²⋊D₁₇	—	2	1	no	—
510	C₂×C₂²⋊D₁₇	—	2	1	no	—
511	C₂×C₂²⋊D₁₇	—	2	1	no	—
512	C₂×C₂²⋊D₁₇	—	2	1	no	—
513	C₂×C₂²⋊D₁₇	—	2	1	no	—
514	C₂×C₂²⋊D₁₇	—	2	1	no	—
515	C₂×C₂²⋊D₁₇	—	2	1	no	—
516	C₂×C₂²⋊D₁₇	—	2	1	no	—
517	C₂×C₂²⋊D₁₇	—	2	1	no	—
518	C₂×C₂²⋊D₁₇	—	2	1	no	—
519	C₂×C₂²⋊D₁₇	—	2	1	no	—
520	C₂×C₂²⋊D₁₇	—	2	1	no	—
521	C₂×C₂²⋊D₁₇	—	4	4	no	—
522	C₂×C₂²⋊D₁₇	—	4	4	no	—
523	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
524	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
525	C₂²×Dic₁₇	—	2	1	no	—
526	C₂²×Dic₁₇	—	2	1	no	—
527	C₂²×Dic₁₇	—	2	1	no	—
528	C₂²×Dic₁₇	—	2	1	no	—
529	C₂²×Dic₁₇	—	2	1	no	—
530	#63254	—	2	2	no	—
531	#63254	—	4	1	no	—
532	D₄×D₁₇	—	2	2	no	—
533	D₄×D₁₇	—	2	2	no	—
534	D₄×D₁₇	—	2	2	no	—
535	D₄×D₁₇	—	4	1	no	—
536	D₄×D₁₇	—	4	1	no	—
537	D₄×D₁₇	—	4	1	no	—
538	#63252	—	2	4	no	—
539	#63252	—	4	4	no	—
540	#63252	—	4	4	no	—
541	#63252	—	4	4	no	—
542	#63252	—	4	4	no	—
543	#63252	—	4	4	no	—
544	#63252	—	4	4	no	—
545	#63252	—	4	4	no	—
546	C₂×D₆₈	—	2	1	no	—
547	C₂×D₆₈	—	2	1	no	—
548	C₂×D₆₈	—	2	1	no	—
549	C₂×D₆₈	—	2	1	no	—
550	C₂×D₆₈	—	2	1	no	—
551	C₂×D₆₈	—	4	4	no	—
552	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
553	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
554	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
555	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₁₇	—	2	1	no	—
557	C₂×C₄×D₁₇	—	2	1	no	—
558	C₂×C₄×D₁₇	—	2	1	no	—
559	C₂×C₄×D₁₇	—	2	1	no	—
560	C₂×C₄×D₁₇	—	2	1	no	—
561	C₂×C₄×D₁₇	—	2	1	no	—
562	C₂×C₄×D₁₇	—	2	1	no	—
563	C₂×C₄×D₁₇	—	2	1	no	—
564	C₂×C₄×D₁₇	—	2	1	no	—
565	C₂×C₄×D₁₇	—	4	4	no	—
566	C₂×C₄×D₁₇	—	4	4	no	—
567	C₂×C₄×D₁₇	—	4	4	no	—
568	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
571	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₃₄	—	2	1	no	—
575	C₂×Dic₃₄	—	2	1	no	—
576	C₂×Dic₃₄	—	2	1	no	—
577	C₂×Dic₃₄	—	2	1	no	—
578	C₂×Dic₃₄	—	4	4	no	—
579	C₂×Dic₃₄	C₂×D₄	1	1	yes	characteristic
580	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
581	SD₁₆×C₁₇	—	2	2	no	—
582	SD₁₆×C₁₇	—	2	2	no	—
583	D₈×C₁₇	—	2	2	no	—
584	D₈×C₁₇	#41	1	4	yes	complemented
585	M₁₆×C₁₇	—	2	2	no	—
586	M₁₆×C₁₇	—	4	1	no	—
587	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
591	C₄⋊C₄×C₁₇	—	2	1	no	—
592	C₄⋊C₄×C₁₇	—	2	1	no	—
593	C₄⋊C₄×C₁₇	—	2	1	no	—
594	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
595	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
596	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
597	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
598	C₂²⋊C₄×C₁₇	—	2	1	no	—
599	C₂²⋊C₄×C₁₇	—	2	1	no	—
600	C₂²⋊C₄×C₁₇	—	2	1	no	—
601	C₂²⋊C₄×C₁₇	—	2	1	no	—
602	C₂²⋊C₄×C₁₇	—	2	1	no	—
603	C₂²⋊C₄×C₁₇	—	2	1	no	—
604	C₂²⋊C₄×C₁₇	—	2	1	no	—
605	C₄²×C₁₇	—	2	1	no	—
606	C₄²×C₁₇	—	2	1	no	—
607	C₄²×C₁₇	—	2	1	no	—
608	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
609	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
610	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
611	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
612	C₂²⋊Dic₁₇	—	2	1	no	—
613	C₂²⋊Dic₁₇	—	2	1	no	—
614	C₂²⋊Dic₁₇	—	2	1	no	—
615	C₂²⋊Dic₁₇	—	2	1	no	—
616	C₂²⋊Dic₁₇	—	2	1	no	—
617	C₂²⋊Dic₁₇	—	2	1	no	—
618	C₂²⋊Dic₁₇	—	2	1	no	—
619	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
620	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
621	#63230	—	4	1	no	—
622	#63230	—	4	1	no	—
623	#63229	—	2	2	no	—
624	#63229	—	4	1	no	—
625	#63228	—	2	2	no	—
626	#63228	—	2	2	no	—
627	#63228	—	2	2	no	—
628	#63228	—	4	1	no	—
629	#63227	—	2	1	no	—
630	#63227	—	2	1	no	—
631	#63227	—	2	1	no	—
632	#63227	—	2	1	no	—
633	#63227	—	2	1	no	—
634	#63227	—	2	1	no	—
635	#63227	—	2	1	no	—
636	#63227	—	2	1	no	—
637	#63227	—	2	1	no	—
638	#63227	—	2	1	no	—
639	#63227	—	2	1	no	—
640	#63227	—	2	1	no	—
641	#63227	—	2	1	no	—
642	#63227	—	2	1	no	—
643	#63227	—	2	1	no	—
644	#63227	—	2	1	no	—
645	#63227	—	2	1	no	—
646	#63227	—	2	1	no	—
647	#63227	—	2	1	no	—
648	#63227	—	2	1	no	—
649	#63227	C₂×D₄	1	1	yes	characteristic
650	#63227	C₂×D₄	1	1	yes	characteristic
651	#63227	C₂×D₄	1	1	yes	characteristic
652	#63227	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₁₇	—	2	1	no	—
654	C₄⋊Dic₁₇	—	2	1	no	—
655	C₄⋊Dic₁₇	—	2	1	no	—
656	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
658	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
662	#63225	—	2	1	no	—
663	#63225	—	2	1	no	—
664	#63225	—	2	1	no	—
665	#63225	—	2	1	no	—
666	#63225	—	2	1	no	—
667	#63225	—	2	1	no	—
668	#63225	—	2	1	no	—
669	#63225	—	2	1	no	—
670	#63225	—	2	1	no	—
671	#63225	—	2	1	no	—
672	#63225	—	2	1	no	—
673	#63225	—	2	1	no	—
674	#63225	—	2	1	no	—
675	#63225	—	2	1	no	—
676	#63225	—	2	1	no	—
677	#63225	—	2	1	no	—
678	#63225	C₂×D₄	1	1	yes	characteristic
679	#63225	C₂×D₄	1	1	yes	characteristic
680	#63225	C₂×D₄	1	1	yes	characteristic
681	#63225	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₁₇	—	2	1	no	—
683	C₄×Dic₁₇	—	2	1	no	—
684	C₄×Dic₁₇	—	2	1	no	—
685	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
691	C₂×#3622	C₂⁴	1	1	yes	characteristic
692	C₂×#3622	C₂⁴	1	1	yes	characteristic
693	C₂×#3622	C₂⁴	1	1	yes	characteristic
694	C₂×#3622	C₂⁴	1	1	yes	characteristic
695	D₁₃₆	—	2	2	no	—
696	D₁₃₆	—	4	1	no	—
697	#63219	—	2	2	no	—
698	#63219	—	4	1	no	—
699	#63218	—	2	2	no	—
700	#63218	—	4	1	no	—
701	C₈×D₁₇	—	2	2	no	—
702	C₈×D₁₇	—	4	1	no	—
703	#61437	—	17	1	no	maximal, Sylow
704	C₂³×C₁₇	—	2	1	no	—
705	C₂³×C₁₇	—	2	1	no	—
706	C₂³×C₁₇	—	2	1	no	—
707	C₂³×C₁₇	—	4	2	no	—
708	C₂³×C₁₇	—	4	2	no	—
709	C₂³×C₁₇	—	8	1	no	—
710	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
711	C₂²×D₁₇	—	2	1	no	—
712	C₂²×D₁₇	—	2	1	no	—
713	C₂²×D₁₇	—	2	1	no	—
714	C₂²×D₁₇	—	4	2	no	—
715	C₂²×D₁₇	—	4	2	no	—
716	C₂²×D₁₇	—	4	2	no	—
717	C₂²×D₁₇	—	4	2	no	—
718	C₂²×D₁₇	—	4	2	no	—
719	C₂²×D₁₇	—	4	2	no	—
720	C₂²×D₁₇	—	8	1	no	—
721	C₂²×D₁₇	—	8	1	no	—
722	C₂²×D₁₇	—	8	1	no	—
723	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
724	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
725	Q₈×C₁₇	—	2	1	no	—
726	Q₈×C₁₇	—	2	1	no	—
727	D₄×C₁₇	—	2	1	no	—
728	D₄×C₁₇	—	2	1	no	—
729	D₄×C₁₇	—	2	1	no	—
730	D₄×C₁₇	—	2	1	no	—
731	D₄×C₁₇	—	4	2	no	—
732	D₄×C₁₇	—	4	2	no	—
733	D₄×C₁₇	C₂×#41	1	2	yes	—
734	D₄×C₁₇	C₂×#41	1	2	yes	complemented
735	C₂×C₄×C₁₇	—	2	2	no	—
736	C₂×C₄×C₁₇	—	2	1	no	—
737	C₂×C₄×C₁₇	—	2	1	no	—
738	C₂×C₄×C₁₇	—	2	1	no	—
739	C₂×C₄×C₁₇	—	2	1	no	—
740	C₂×C₄×C₁₇	—	2	1	no	—
741	C₂×C₄×C₁₇	—	2	1	no	—
742	C₂×C₄×C₁₇	—	2	1	no	—
743	C₂×C₄×C₁₇	—	4	1	no	—
744	C₂×C₄×C₁₇	—	4	2	no	—
745	C₂×C₄×C₁₇	—	4	2	no	—
746	C₂×C₄×C₁₇	—	4	2	no	—
747	C₂×C₄×C₁₇	—	4	2	no	—
748	C₂×C₄×C₁₇	—	4	2	no	—
749	C₂×C₄×C₁₇	—	4	2	no	—
750	C₂×C₄×C₁₇	—	4	2	no	—
751	C₂×C₄×C₁₇	—	8	1	no	—
752	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
758	C₂²⋊D₁₇	—	2	2	no	—
759	C₂²⋊D₁₇	—	2	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	—	4	2	no	—
768	C₂²⋊D₁₇	—	4	2	no	—
769	C₂²⋊D₁₇	—	4	2	no	—
770	C₂²⋊D₁₇	—	8	1	no	—
771	C₂²⋊D₁₇	—	8	1	no	—
772	C₂²⋊D₁₇	—	8	1	no	—
773	C₂×Dic₁₇	—	2	1	no	—
774	C₂×Dic₁₇	—	2	1	no	—
775	C₂×Dic₁₇	—	2	1	no	—
776	C₂×Dic₁₇	—	2	1	no	—
777	C₂×Dic₁₇	—	2	1	no	—
778	C₂×Dic₁₇	—	4	2	no	—
779	C₂×Dic₁₇	—	4	2	no	—
780	C₂×Dic₁₇	—	4	2	no	—
781	C₂×Dic₁₇	—	4	2	no	—
782	C₂×Dic₁₇	—	8	1	no	—
783	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
784	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
785	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
786	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
787	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
788	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
789	D₆₈	—	2	2	no	—
790	D₆₈	—	2	1	no	—
791	D₆₈	—	2	1	no	—
792	D₆₈	—	2	1	no	—
793	D₆₈	—	2	1	no	—
794	D₆₈	—	2	1	no	—
795	D₆₈	—	2	1	no	—
796	D₆₈	—	4	2	no	—
797	D₆₈	—	4	2	no	—
798	D₆₈	—	4	2	no	—
799	D₆₈	—	8	1	no	—
800	D₆₈	—	8	1	no	—
801	C₄×D₁₇	—	2	2	no	—
802	C₄×D₁₇	—	2	1	no	—
803	C₄×D₁₇	—	2	1	no	—
804	C₄×D₁₇	—	2	1	no	—
805	C₄×D₁₇	—	2	1	no	—
806	C₄×D₁₇	—	4	1	no	—
807	C₄×D₁₇	—	4	1	no	—
808	C₄×D₁₇	—	4	2	no	—
809	C₄×D₁₇	—	4	2	no	—
810	C₄×D₁₇	—	4	2	no	—
811	C₄×D₁₇	—	4	2	no	—
812	C₄×D₁₇	—	4	2	no	—
813	C₄×D₁₇	—	4	2	no	—
814	C₄×D₁₇	—	4	2	no	—
815	C₄×D₁₇	—	4	2	no	—
816	C₄×D₁₇	—	4	2	no	—
817	C₄×D₁₇	AGL(1,ℤ/8)	1	4	yes	complemented
818	Dic₃₄	—	2	2	no	—
819	Dic₃₄	—	2	1	no	—
820	Dic₃₄	—	2	1	no	—
821	Dic₃₄	—	4	2	no	—
822	Dic₃₄	—	4	2	no	—
823	Dic₃₄	—	4	2	no	—
824	Dic₃₄	—	8	1	no	—
825	C₈×C₁₇	—	2	1	no	—
826	C₈×C₁₇	—	2	1	no	—
827	C₈×C₁₇	—	2	1	no	—
828	C₈×C₁₇	C₂×#41	1	2	yes	complemented
829	#3622	—	2	1	no	—
830	#3622	—	2	1	no	—
831	#3622	—	2	1	no	—
832	#3622	—	2	1	no	—
833	#3475	—	17	1	no	—
834	D₄×#41	—	17	1	no	—
835	#3397	—	17	1	no	—
836	#3384	—	17	1	no	—
837	#3367	—	17	1	no	—
838	#3366	—	17	1	no	—
839	#3354	—	17	1	no	—
840	#3343	—	17	1	no	—
841	#3343	—	17	1	no	—
842	#3330	—	17	1	no	—
843	#3325	—	17	1	no	—
844	#3310	—	17	1	no	—
845	#3310	—	17	1	no	—
846	#3306	—	17	1	no	—
847	#3306	—	17	1	no	—
848	#3272	—	17	1	no	—
849	#3264	—	17	1	no	—
850	#3264	—	17	1	no	—
851	#3171	—	17	1	no	—
852	#3171	—	17	1	no	—
853	#3167	—	17	1	no	—
854	#3106	—	17	1	no	—
855	#3106	—	17	1	no	—
856	#3105	—	17	1	no	—
857	#3105	—	17	1	no	—
858	#3101	—	17	1	no	—
859	#3100	—	17	1	no	—
860	#2965	—	17	1	no	—
861	C₄×AGL(1,ℤ/8)	—	17	1	no	—
862	C₄×AGL(1,ℤ/8)	D₁₇	1	1	yes	characteristic, complemented
863	C₂×C₄×D₈	—	17	1	no	—
864	C₂²×C₁₇	—	2	1	no	—
865	C₂²×C₁₇	—	2	2	no	—
866	C₂²×C₁₇	—	2	2	no	—
867	C₂²×C₁₇	—	2	1	no	—
868	C₂²×C₁₇	—	2	1	no	—
869	C₂²×C₁₇	—	4	1	no	—
870	C₂²×C₁₇	—	4	1	no	—
871	C₂²×C₁₇	—	4	1	no	—
872	C₂²×C₁₇	—	4	1	no	—
873	C₂²×C₁₇	—	4	1	no	—
874	C₂²×C₁₇	—	4	1	no	—
875	C₂²×C₁₇	—	4	1	no	—
876	C₂²×C₁₇	—	8	4	no	—
877	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
878	C₂×D₁₇	—	2	1	no	—
879	C₂×D₁₇	—	2	1	no	—
880	C₂×D₁₇	—	2	1	no	—
881	C₂×D₁₇	—	2	1	no	—
882	C₂×D₁₇	—	2	1	no	—
883	C₂×D₁₇	—	4	1	no	—
884	C₂×D₁₇	—	4	1	no	—
885	C₂×D₁₇	—	4	1	no	—
886	C₂×D₁₇	—	4	1	no	—
887	C₂×D₁₇	—	4	1	no	—
888	C₂×D₁₇	—	4	1	no	—
889	C₂×D₁₇	—	4	1	no	—
890	C₂×D₁₇	—	4	1	no	—
891	C₂×D₁₇	—	4	1	no	—
892	C₂×D₁₇	—	8	4	no	—
893	C₂×D₁₇	—	8	4	no	—
894	C₂×D₁₇	—	8	4	no	—
895	C₂×D₁₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
896	C₄×C₁₇	—	2	1	no	—
897	C₄×C₁₇	—	2	1	no	—
898	C₄×C₁₇	—	2	1	no	—
899	C₄×C₁₇	—	2	1	no	—
900	C₄×C₁₇	—	4	1	no	—
901	C₄×C₁₇	—	4	1	no	—
902	C₄×C₁₇	—	4	1	no	—
903	C₄×C₁₇	—	4	1	no	—
904	C₄×C₁₇	—	4	1	no	—
905	C₄×C₁₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
906	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
907	C₄×C₁₇	#585	1	1	yes	characteristic
908	Dic₁₇	—	2	1	no	—
909	Dic₁₇	—	2	1	no	—
910	Dic₁₇	—	2	1	no	—
911	Dic₁₇	—	2	1	no	—
912	Dic₁₇	—	2	1	no	—
913	Dic₁₇	—	4	1	no	—
914	Dic₁₇	—	4	1	no	—
915	Dic₁₇	—	4	1	no	—
916	Dic₁₇	—	4	1	no	—
917	Dic₁₇	—	4	1	no	—
918	Dic₁₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
919	C₂²×#41	—	34	1	no	—
920	C₂×AGL(1,ℤ/8)	—	17	1	no	—
921	C₂×AGL(1,ℤ/8)	C₂×D₁₇	1	1	yes	characteristic
922	C₂²×D₈	—	17	1	no	—
923	#556	—	17	1	no	—
924	#555	—	17	1	no	—
925	#554	—	17	1	no	—
926	#553	—	34	1	no	—
927	#552	—	17	1	no	—
928	#552	—	17	1	no	—
929	#552	—	34	1	no	—
930	#551	—	34	1	no	—
931	#551	—	34	1	no	—
932	#550	—	17	1	no	—
933	D₄×Q₈	—	17	1	no	—
934	#548	—	34	1	no	—
935	#547	—	17	1	no	—
936	#547	—	17	1	no	—
937	#547	—	17	1	no	—
938	#547	—	17	1	no	—
939	#546	—	17	1	no	—
940	#546	—	17	1	no	—
941	#546	—	34	1	no	—
942	#546	—	34	1	no	—
943	#546	—	34	1	no	—
944	D₄²	—	17	1	no	—
945	D₄²	—	17	1	no	—
946	D₄²	—	17	1	no	—
947	#533	—	17	1	no	—
948	#532	—	17	1	no	—
949	#532	—	17	1	no	—
950	#532	—	17	1	no	—
951	#529	—	17	1	no	—
952	#529	—	17	1	no	—
953	#529	—	34	1	no	—
954	#529	—	34	1	no	—
955	#525	—	34	1	no	—
956	#525	—	34	1	no	—
957	#525	—	34	1	no	—
958	#525	—	34	1	no	—
959	C₄×#41	—	17	1	no	—
960	C₄×#41	—	17	1	no	—
961	C₄×#41	C₂×D₁₇	1	1	yes	characteristic, complemented
962	C₂×C₄×D₄	—	17	1	no	—
963	C₂×C₄×D₄	—	17	1	no	—
964	C₂×C₄×D₄	—	17	1	no	—
965	C₂×C₄×D₄	C₂×D₁₇	1	1	yes	characteristic, complemented
966	C₂×#117	—	34	1	no	—
967	#501	—	17	1	no	—
968	#501	—	17	1	no	—
969	#498	—	17	1	no	—
970	#496	—	17	1	no	—
971	#496	—	17	1	no	—
972	#492	—	17	1	no	—
973	#490	—	17	1	no	—
974	#490	—	17	1	no	—
975	#489	—	17	1	no	—
976	#489	—	17	1	no	—
977	#487	—	17	1	no	—
978	#486	—	17	1	no	—
979	#484	—	17	1	no	—
980	#484	—	17	1	no	—
981	#483	—	17	1	no	—
982	#483	—	17	1	no	—
983	#482	—	17	1	no	—
984	#482	—	17	1	no	—
985	#482	—	17	1	no	—
986	#482	—	17	1	no	—
987	#481	—	17	1	no	—
988	#481	—	17	1	no	—
989	#480	—	17	1	no	—
990	#480	—	17	1	no	—
991	#478	—	17	1	no	—
992	#478	—	17	1	no	—
993	#478	—	17	1	no	—
994	#478	—	17	1	no	—
995	#477	—	17	1	no	—
996	#477	—	17	1	no	—
997	#476	—	17	1	no	—
998	#476	—	17	1	no	—
999	#476	—	17	1	no	—
1000	#476	—	17	1	no	—
1001	#474	—	17	1	no	—
1002	#474	—	17	1	no	—
1003	#469	—	17	1	no	—
1004	#469	—	17	1	no	—
1005	#469	—	17	1	no	—
1006	#469	—	17	1	no	—
1007	#468	—	17	1	no	—
1008	#468	—	17	1	no	—
1009	#468	—	17	1	no	—
1010	#468	—	17	1	no	—
1011	#465	—	17	1	no	—
1012	#465	—	17	1	no	—
1013	#465	—	17	1	no	—
1014	#465	—	17	1	no	—
1015	#463	—	17	1	no	—
1016	#463	—	17	1	no	—
1017	#463	—	17	1	no	—
1018	#463	—	17	1	no	—
1019	#461	—	17	1	no	—
1020	#461	—	17	1	no	—
1021	#460	—	17	1	no	—
1022	#460	—	17	1	no	—
1023	#459	—	17	1	no	—
1024	#459	—	17	1	no	—
1025	#459	—	17	1	no	—
1026	#459	—	17	1	no	—
1027	#450	—	17	1	no	—
1028	#450	—	17	1	no	—
1029	#450	—	17	1	no	—
1030	#450	—	17	1	no	—
1031	#449	—	17	1	no	—
1032	#449	—	17	1	no	—
1033	#449	—	17	1	no	—
1034	#449	—	17	1	no	—
1035	#447	—	17	1	no	—
1036	#447	—	17	1	no	—
1037	#447	—	17	1	no	—
1038	#447	—	17	1	no	—
1039	#446	—	17	1	no	—
1040	#446	—	17	1	no	—
1041	#442	—	17	1	no	—
1042	#442	—	17	1	no	—
1043	#442	C₂×D₁₇	1	1	yes	characteristic
1044	#442	C₂×D₁₇	1	1	yes	characteristic, complemented
1045	#440	—	17	1	no	—
1046	#440	—	17	1	no	—
1047	#440	C₂×D₁₇	1	1	yes	characteristic, complemented
1048	#440	C₂×D₁₇	1	1	yes	characteristic, complemented
1049	C₄×SD₁₆	—	17	1	no	—
1050	C₄×SD₁₆	—	17	1	no	—
1051	C₄×SD₁₆	—	17	1	no	—
1052	C₄×SD₁₆	—	17	1	no	—
1053	C₄×SD₁₆	—	17	1	no	—
1054	C₄×SD₁₆	—	17	1	no	—
1055	C₄×SD₁₆	C₂×D₁₇	1	1	yes	characteristic, complemented
1056	C₄×SD₁₆	C₂×D₁₇	1	1	yes	characteristic, complemented
1057	C₄×D₈	—	17	1	no	—
1058	C₄×D₈	—	17	1	no	—
1059	C₄×D₈	—	17	1	no	—
1060	C₄×D₈	—	17	1	no	—
1061	C₄×D₈	—	17	1	no	—
1062	C₄×D₈	—	17	1	no	—
1063	C₄×D₈	—	17	1	no	—
1064	C₄×D₈	—	17	1	no	—
1065	C₄×D₈	—	17	1	no	—
1066	C₄×D₈	—	17	1	no	—
1067	C₄×D₈	C₂×D₁₇	1	1	yes	characteristic
1068	C₄×D₈	C₂×D₁₇	1	1	yes	characteristic, complemented
1069	#436	—	17	1	no	—
1070	#436	—	17	1	no	—
1071	#435	—	17	1	no	—
1072	#435	—	17	1	no	—
1073	#435	—	17	1	no	—
1074	#435	—	17	1	no	—
1075	#431	—	17	1	no	—
1076	#431	—	17	1	no	—
1077	#431	—	17	1	no	—
1078	#428	—	17	1	no	—
1079	#428	C₂×D₁₇	1	1	yes	characteristic, complemented
1080	C₂×#107	—	17	1	no	—
1081	#418	—	17	1	no	—
1082	#418	C₂×D₁₇	1	1	yes	characteristic, complemented
1083	#417	—	17	1	no	—
1084	#417	C₂×D₁₇	1	1	yes	characteristic, complemented
1085	C₂×#102	—	17	1	no	—
1086	C₂×#102	—	17	1	no	—
1087	C₄×M₁₆	—	17	1	no	—
1088	C₄×M₁₆	C₂×D₁₇	1	1	yes	characteristic, complemented
1089	C₂×C₄×C₈	—	17	1	no	—
1090	C₂×C₁₇	—	4	2	no	—
1091	C₂×C₁₇	—	4	2	no	—
1092	C₂×C₁₇	—	4	1	no	—
1093	C₂×C₁₇	—	8	1	no	—
1094	C₂×C₁₇	D₄×#41	1	1	yes	characteristic
1095	C₂×C₁₇	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1096	C₂×C₁₇	#3584	1	1	yes	characteristic
1097	D₁₇	—	2	2	no	—
1098	D₁₇	—	4	1	no	—
1099	D₁₇	—	8	1	no	—
1100	D₁₇	—	8	1	no	—
1101	D₁₇	—	8	1	no	—
1102	C₂×#41	—	17	1	no	—
1103	C₂×#41	—	17	1	no	—
1104	C₂×#41	—	34	1	no	—
1105	C₂×#41	—	34	1	no	—
1106	C₂×#41	—	34	1	no	—
1107	C₂×#41	—	34	1	no	—
1108	C₂×#41	—	34	1	no	—
1109	C₂×#41	—	34	1	no	—
1110	C₂×#41	—	34	1	no	—
1111	C₂×#41	—	68	8	no	—
1112	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1113	C₂²×Q₈	—	34	1	no	—
1114	C₂²×D₄	—	17	1	no	—
1115	C₂²×D₄	—	17	1	no	—
1116	C₂²×D₄	—	17	1	no	—
1117	C₂²×D₄	—	34	1	no	—
1118	C₂²×D₄	—	34	1	no	—
1119	C₂²×D₄	—	34	1	no	—
1120	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1121	C₂³×C₄	—	2	1	no	—
1122	C₂³×C₄	—	34	1	no	—
1123	C₂³×C₄	—	34	1	no	—
1124	C₂³×C₄	—	34	1	no	—
1125	AGL(1,ℤ/8)	—	2	4	no	—
1126	AGL(1,ℤ/8)	—	34	4	no	—
1127	C₂×SD₁₆	—	17	1	no	—
1128	C₂×SD₁₆	—	17	1	no	—
1129	C₂×SD₁₆	—	17	1	no	—
1130	C₂×SD₁₆	—	17	1	no	—
1131	C₂×SD₁₆	—	17	1	no	—
1132	C₂×SD₁₆	—	17	1	no	—
1133	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1134	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1135	C₂×D₈	—	17	1	no	—
1136	C₂×D₈	—	17	1	no	—
1137	C₂×D₈	—	17	1	no	—
1138	C₂×D₈	—	17	1	no	—
1139	C₂×D₈	—	17	1	no	—
1140	C₂×D₈	—	17	1	no	—
1141	C₂×D₈	—	34	4	no	—
1142	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1143	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1144	C₂×M₁₆	—	17	1	no	—
1145	C₂×M₁₆	—	17	1	no	—
1146	C₂×M₁₆	C₂²×D₁₇	1	1	yes	characteristic
1147	C₂×M₁₆	C₂²×D₁₇	1	1	yes	characteristic
1148	C₂²×C₈	—	17	1	no	—
1149	C₂²×C₈	—	17	1	no	—
1150	C₄⋊Q₈	—	17	1	no	—
1151	C₄⋊Q₈	—	17	1	no	—
1152	C₄⋊Q₈	—	17	1	no	—
1153	C₄⋊Q₈	—	17	1	no	—
1154	C₄⋊Q₈	—	17	1	no	—
1155	#127	—	17	1	no	—
1156	#127	—	17	1	no	—
1157	#127	—	17	1	no	—
1158	#126	—	34	1	no	—
1159	#126	—	34	1	no	—
1160	#126	—	34	1	no	—
1161	#126	—	34	1	no	—
1162	#126	—	34	1	no	—
1163	#126	—	34	1	no	—
1164	#125	—	17	1	no	—
1165	#125	—	17	1	no	—
1166	#125	—	34	1	no	—
1167	#125	—	34	1	no	—
1168	#125	—	34	1	no	—
1169	#124	—	17	1	no	—
1170	#124	—	17	1	no	—
1171	#124	—	34	1	no	—
1172	#124	—	34	1	no	—
1173	#124	—	34	1	no	—
1174	#124	—	34	1	no	—
1175	#124	—	34	1	no	—
1176	#123	—	34	1	no	—
1177	#123	—	34	1	no	—
1178	#123	—	34	1	no	—
1179	#123	—	34	1	no	—
1180	#123	—	34	1	no	—
1181	#123	—	34	1	no	—
1182	#123	—	34	1	no	—
1183	#123	—	34	1	no	—
1184	#123	—	34	1	no	—
1185	#123	—	34	1	no	—
1186	#123	—	34	1	no	—
1187	#123	—	34	1	no	—
1188	#123	—	34	1	no	—
1189	#123	—	34	1	no	—
1190	C₂²⋊Q₈	—	17	1	no	—
1191	C₂²⋊Q₈	—	17	1	no	—
1192	C₂²⋊Q₈	—	17	1	no	—
1193	C₂²⋊Q₈	—	17	1	no	—
1194	C₂²⋊Q₈	—	34	1	no	—
1195	C₂²⋊Q₈	—	34	1	no	—
1196	C₂²⋊Q₈	—	34	1	no	—
1197	C₂²⋊Q₈	—	34	1	no	—
1198	C₂²⋊Q₈	—	34	1	no	—
1199	C₂²⋊Q₈	—	34	1	no	—
1200	C₂²⋊Q₈	—	34	1	no	—
1201	C₂²⋊Q₈	—	34	1	no	—
1202	C₂²⋊Q₈	—	34	1	no	—
1203	C₂²⋊Q₈	—	34	1	no	—
1204	C₂²⋊Q₈	—	34	1	no	—
1205	#121	—	17	1	no	—
1206	#121	—	17	1	no	—
1207	#121	—	17	1	no	—
1208	#121	—	17	1	no	—
1209	#121	—	17	1	no	—
1210	#121	—	17	1	no	—
1211	#121	—	17	1	no	—
1212	#121	—	17	1	no	—
1213	#121	—	34	1	no	—
1214	#121	—	34	1	no	—
1215	#121	—	34	1	no	—
1216	#121	—	34	1	no	—
1217	#121	—	34	1	no	—
1218	#121	—	34	1	no	—
1219	#121	—	34	1	no	—
1220	#121	—	34	1	no	—
1221	#121	—	34	1	no	—
1222	#121	—	34	1	no	—
1223	#121	—	34	1	no	—
1224	#121	—	34	1	no	—
1225	#121	—	34	1	no	—
1226	#120	—	34	1	no	—
1227	#120	—	34	1	no	—
1228	#120	—	34	1	no	—
1229	#120	—	34	1	no	—
1230	#120	—	34	1	no	—
1231	#120	—	34	1	no	—
1232	#120	—	34	1	no	—
1233	#120	—	34	1	no	—
1234	C₄×Q₈	—	17	1	no	—
1235	C₄×Q₈	—	17	1	no	—
1236	C₄×Q₈	—	17	1	no	—
1237	C₄×Q₈	—	17	1	no	—
1238	C₄×Q₈	—	34	1	no	—
1239	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1240	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1241	C₄×D₄	—	2	1	no	—
1242	C₄×D₄	—	2	1	no	—
1243	C₄×D₄	—	2	1	no	—
1244	C₄×D₄	—	2	1	no	—
1245	C₄×D₄	—	17	1	no	—
1246	C₄×D₄	—	17	1	no	—
1247	C₄×D₄	—	17	1	no	—
1248	C₄×D₄	—	17	1	no	—
1249	C₄×D₄	—	17	1	no	—
1250	C₄×D₄	—	17	1	no	—
1251	C₄×D₄	—	17	1	no	—
1252	C₄×D₄	—	17	1	no	—
1253	C₄×D₄	—	17	1	no	—
1254	C₄×D₄	—	17	1	no	—
1255	C₄×D₄	—	17	1	no	—
1256	C₄×D₄	—	17	1	no	—
1257	C₄×D₄	—	17	1	no	—
1258	C₄×D₄	—	17	1	no	—
1259	C₄×D₄	—	17	1	no	—
1260	C₄×D₄	—	17	1	no	—
1261	C₄×D₄	—	34	1	no	—
1262	C₄×D₄	—	34	1	no	—
1263	C₄×D₄	—	34	1	no	—
1264	C₄×D₄	—	34	1	no	—
1265	C₄×D₄	—	34	1	no	—
1266	C₄×D₄	—	34	1	no	—
1267	C₄×D₄	—	34	1	no	—
1268	C₄×D₄	—	34	1	no	—
1269	C₄×D₄	—	34	1	no	—
1270	C₄×D₄	—	34	1	no	—
1271	C₄×D₄	—	34	1	no	—
1272	C₄×D₄	—	34	1	no	—
1273	C₄×D₄	—	34	1	no	—
1274	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1275	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1277	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1278	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1279	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1280	#117	—	2	1	no	—
1281	#117	—	17	1	no	—
1282	#117	—	17	1	no	—
1283	#117	—	17	1	no	—
1284	#117	—	17	1	no	—
1285	#117	—	34	1	no	—
1286	#117	—	34	1	no	—
1287	#117	—	34	1	no	—
1288	#117	—	34	1	no	—
1289	#117	—	34	1	no	—
1290	#117	—	34	1	no	—
1291	#117	—	34	1	no	—
1292	#117	—	34	1	no	—
1293	#117	C₂²×D₁₇	1	1	yes	characteristic
1294	C₂×C₄⋊C₄	—	17	1	no	—
1295	C₂×C₄⋊C₄	—	17	1	no	—
1296	C₂×C₄⋊C₄	—	17	1	no	—
1297	C₂×C₄⋊C₄	—	34	1	no	—
1298	C₂×C₄⋊C₄	—	34	1	no	—
1299	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1300	C₂×C₂²⋊C₄	—	2	1	no	—
1301	C₂×C₂²⋊C₄	—	34	1	no	—
1302	C₂×C₂²⋊C₄	—	34	1	no	—
1303	C₂×C₂²⋊C₄	—	34	1	no	—
1304	C₂×C₂²⋊C₄	—	34	1	no	—
1305	C₂×C₂²⋊C₄	—	34	1	no	—
1306	C₂×C₄²	—	2	1	no	—
1307	C₂×C₄²	—	17	1	no	—
1308	C₂×C₄²	—	17	1	no	—
1309	C₂×C₄²	—	34	1	no	—
1310	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1311	#107	—	17	1	no	—
1312	#107	—	17	1	no	—
1313	#107	—	17	1	no	—
1314	#107	—	17	1	no	—
1315	#107	—	17	1	no	—
1316	#107	—	17	1	no	—
1317	#107	C₂²×D₁₇	1	1	yes	characteristic
1318	#107	C₂²×D₁₇	1	1	yes	characteristic
1319	#106	—	17	1	no	—
1320	#106	—	17	1	no	—
1321	#106	—	17	1	no	—
1322	#106	—	17	1	no	—
1323	#106	—	17	1	no	—
1324	#106	—	17	1	no	—
1325	#106	C₂²×D₁₇	1	1	yes	characteristic
1326	#106	C₂²×D₁₇	1	1	yes	characteristic
1327	C₄⋊C₈	—	17	1	no	—
1328	C₄⋊C₈	—	17	1	no	—
1329	C₄⋊C₈	—	17	1	no	—
1330	C₄⋊C₈	—	17	1	no	—
1331	C₄⋊C₈	—	17	1	no	—
1332	C₄⋊C₈	—	17	1	no	—
1333	#103	—	17	1	no	—
1334	#103	—	17	1	no	—
1335	#103	—	17	1	no	—
1336	#103	—	17	1	no	—
1337	#103	—	17	1	no	—
1338	#103	—	17	1	no	—
1339	#103	C₂²×D₁₇	1	1	yes	characteristic
1340	#103	C₂²×D₁₇	1	1	yes	characteristic
1341	#102	—	17	1	no	—
1342	#102	—	17	1	no	—
1343	#102	—	17	1	no	—
1344	#102	—	17	1	no	—
1345	#102	—	17	1	no	—
1346	#102	—	17	1	no	—
1347	#102	—	17	1	no	—
1348	#102	—	17	1	no	—
1349	#102	—	17	1	no	—
1350	#102	—	17	1	no	—
1351	#102	—	17	1	no	—
1352	#102	—	17	1	no	—
1353	#102	—	17	1	no	—
1354	#102	—	17	1	no	—
1355	#102	—	17	1	no	—
1356	#102	—	17	1	no	—
1357	#102	—	17	1	no	—
1358	#102	—	17	1	no	—
1359	#102	C₂²×D₁₇	1	1	yes	characteristic
1360	#102	C₂²×D₁₇	1	1	yes	characteristic
1361	#102	C₂²×D₁₇	1	1	yes	characteristic
1362	#102	C₂²×D₁₇	1	1	yes	characteristic
1363	#102	C₂²×D₁₇	1	1	yes	characteristic
1364	#102	C₂²×D₁₇	1	1	yes	characteristic
1365	C₂²⋊C₈	—	17	1	no	—
1366	C₂²⋊C₈	—	17	1	no	—
1367	C₂²⋊C₈	—	17	1	no	—
1368	C₂²⋊C₈	—	17	1	no	—
1369	C₂²⋊C₈	—	17	1	no	—
1370	C₂²⋊C₈	—	17	1	no	—
1371	#97	—	17	1	no	—
1372	#97	—	17	1	no	—
1373	#97	C₂²×D₁₇	1	1	yes	characteristic
1374	#97	C₂²×D₁₇	1	1	yes	characteristic
1375	C₄×C₈	—	17	1	no	—
1376	C₄×C₈	—	17	1	no	—
1377	C₄×C₈	—	17	1	no	—
1378	C₄×C₈	—	17	1	no	—
1379	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1380	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1381	C₁₇	#61437	1	1	yes	characteristic, complemented, Sylow
1382	C₂⁴	—	2	1	no	—
1383	C₂⁴	—	34	1	no	—
1384	C₂⁴	—	34	1	no	—
1385	C₂⁴	—	34	1	no	—
1386	#41	—	2	2	no	—
1387	#41	—	4	1	no	—
1388	#41	—	34	4	no	—
1389	#41	—	34	2	no	—
1390	#41	—	68	4	no	—
1391	#41	—	68	4	no	—
1392	#41	—	68	4	no	—
1393	#41	—	68	4	no	—
1394	#41	—	68	4	no	—
1395	#41	—	68	4	no	—
1396	#41	—	68	4	no	—
1397	#41	—	68	1	no	—
1398	C₂×Q₈	—	17	1	no	—
1399	C₂×Q₈	—	17	1	no	—
1400	C₂×Q₈	—	34	1	no	—
1401	C₂×Q₈	—	34	1	no	—
1402	C₂×Q₈	—	34	1	no	—
1403	C₂×Q₈	—	34	1	no	—
1404	C₂×Q₈	—	68	4	no	—
1405	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1406	C₂×D₄	—	2	2	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	4	1	no	—
1410	C₂×D₄	—	17	1	no	—
1411	C₂×D₄	—	17	1	no	—
1412	C₂×D₄	—	17	1	no	—
1413	C₂×D₄	—	17	1	no	—
1414	C₂×D₄	—	17	1	no	—
1415	C₂×D₄	—	17	1	no	—
1416	C₂×D₄	—	34	1	no	—
1417	C₂×D₄	—	34	1	no	—
1418	C₂×D₄	—	34	1	no	—
1419	C₂×D₄	—	34	1	no	—
1420	C₂×D₄	—	34	1	no	—
1421	C₂×D₄	—	34	1	no	—
1422	C₂×D₄	—	34	1	no	—
1423	C₂×D₄	—	34	1	no	—
1424	C₂×D₄	—	34	1	no	—
1425	C₂×D₄	—	34	1	no	—
1426	C₂×D₄	—	34	2	no	—
1427	C₂×D₄	—	34	2	no	—
1428	C₂×D₄	—	34	2	no	—
1429	C₂×D₄	—	34	1	no	—
1430	C₂×D₄	—	34	1	no	—
1431	C₂×D₄	—	34	1	no	—
1432	C₂×D₄	—	34	1	no	—
1433	C₂×D₄	—	34	1	no	—
1434	C₂×D₄	—	34	1	no	—
1435	C₂×D₄	—	34	1	no	—
1436	C₂×D₄	—	34	1	no	—
1437	C₂×D₄	—	68	4	no	—
1438	C₂×D₄	—	68	1	no	—
1439	C₂×D₄	—	68	1	no	—
1440	C₂×D₄	—	68	1	no	—
1441	C₂×D₄	—	68	4	no	—
1442	C₂×D₄	—	68	4	no	—
1443	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1444	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1445	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	2	1	no	—
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	4	4	no	—
1455	C₂²×C₄	—	17	1	no	—
1456	C₂²×C₄	—	17	1	no	—
1457	C₂²×C₄	—	17	1	no	—
1458	C₂²×C₄	—	17	1	no	—
1459	C₂²×C₄	—	17	1	no	—
1460	C₂²×C₄	—	17	1	no	—
1461	C₂²×C₄	—	34	1	no	—
1462	C₂²×C₄	—	34	1	no	—
1463	C₂²×C₄	—	34	1	no	—
1464	C₂²×C₄	—	34	1	no	—
1465	C₂²×C₄	—	34	1	no	—
1466	C₂²×C₄	—	34	1	no	—
1467	C₂²×C₄	—	34	1	no	—
1468	C₂²×C₄	—	34	1	no	—
1469	C₂²×C₄	—	34	1	no	—
1470	C₂²×C₄	—	34	1	no	—
1471	C₂²×C₄	—	34	1	no	—
1472	C₂²×C₄	—	34	1	no	—
1473	C₂²×C₄	—	34	1	no	—
1474	C₂²×C₄	—	34	1	no	—
1475	C₂²×C₄	—	68	4	no	—
1476	C₂²×C₄	—	68	4	no	—
1477	C₂²×C₄	—	68	4	no	—
1478	C₂²×C₄	D₄×D₁₇	1	1	yes	characteristic
1479	C₂²×C₄	D₄×D₁₇	1	1	yes	characteristic
1480	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1481	SD₁₆	—	2	2	no	—
1482	SD₁₆	—	2	2	no	—
1483	SD₁₆	—	34	2	no	—
1484	SD₁₆	—	34	2	no	—
1485	SD₁₆	—	68	1	no	—
1486	SD₁₆	—	68	1	no	—
1487	SD₁₆	—	68	1	no	—
1488	SD₁₆	—	68	1	no	—
1489	D₈	—	2	2	no	—
1490	D₈	—	34	2	no	—
1491	D₈	—	34	2	no	—
1492	D₈	—	34	2	no	—
1493	D₈	—	34	2	no	—
1494	D₈	—	68	1	no	—
1495	D₈	—	68	1	no	—
1496	D₈	#63252	1	4	yes	complemented
1497	M₁₆	—	2	2	no	—
1498	M₁₆	—	4	1	no	—
1499	M₁₆	—	34	2	no	—
1500	M₁₆	—	68	1	no	—
1501	C₂×C₈	—	17	1	no	—
1502	C₂×C₈	—	17	1	no	—
1503	C₂×C₈	—	17	1	no	—
1504	C₂×C₈	—	17	1	no	—
1505	C₂×C₈	—	34	2	no	—
1506	C₂×C₈	—	68	1	no	—
1507	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1508	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1509	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1510	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	17	1	no	—
1515	C₄⋊C₄	—	17	1	no	—
1516	C₄⋊C₄	—	17	1	no	—
1517	C₄⋊C₄	—	17	1	no	—
1518	C₄⋊C₄	—	17	1	no	—
1519	C₄⋊C₄	—	17	1	no	—
1520	C₄⋊C₄	—	17	1	no	—
1521	C₄⋊C₄	—	17	1	no	—
1522	C₄⋊C₄	—	17	1	no	—
1523	C₄⋊C₄	—	17	1	no	—
1524	C₄⋊C₄	—	34	1	no	—
1525	C₄⋊C₄	—	34	1	no	—
1526	C₄⋊C₄	—	34	1	no	—
1527	C₄⋊C₄	—	34	1	no	—
1528	C₄⋊C₄	—	34	1	no	—
1529	C₄⋊C₄	—	34	1	no	—
1530	C₄⋊C₄	—	34	1	no	—
1531	C₄⋊C₄	—	34	1	no	—
1532	C₄⋊C₄	—	34	1	no	—
1533	C₄⋊C₄	—	34	1	no	—
1534	C₄⋊C₄	—	34	1	no	—
1535	C₄⋊C₄	—	34	1	no	—
1536	C₄⋊C₄	—	34	1	no	—
1537	C₄⋊C₄	—	34	1	no	—
1538	C₄⋊C₄	—	34	1	no	—
1539	C₄⋊C₄	—	34	1	no	—
1540	C₄⋊C₄	—	34	1	no	—
1541	C₄⋊C₄	—	34	1	no	—
1542	C₄⋊C₄	—	34	1	no	—
1543	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1544	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1545	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1546	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	17	1	no	—
1555	C₂²⋊C₄	—	17	1	no	—
1556	C₂²⋊C₄	—	17	1	no	—
1557	C₂²⋊C₄	—	17	1	no	—
1558	C₂²⋊C₄	—	17	1	no	—
1559	C₂²⋊C₄	—	17	1	no	—
1560	C₂²⋊C₄	—	34	1	no	—
1561	C₂²⋊C₄	—	34	1	no	—
1562	C₂²⋊C₄	—	34	1	no	—
1563	C₂²⋊C₄	—	34	1	no	—
1564	C₂²⋊C₄	—	34	1	no	—
1565	C₂²⋊C₄	—	34	1	no	—
1566	C₂²⋊C₄	—	34	1	no	—
1567	C₂²⋊C₄	—	34	1	no	—
1568	C₂²⋊C₄	—	34	1	no	—
1569	C₂²⋊C₄	—	34	1	no	—
1570	C₂²⋊C₄	—	34	1	no	—
1571	C₂²⋊C₄	—	34	1	no	—
1572	C₂²⋊C₄	—	34	1	no	—
1573	C₂²⋊C₄	—	34	1	no	—
1574	C₂²⋊C₄	—	34	1	no	—
1575	C₂²⋊C₄	—	34	1	no	—
1576	C₂²⋊C₄	—	34	1	no	—
1577	C₂²⋊C₄	—	34	1	no	—
1578	C₂²⋊C₄	—	34	1	no	—
1579	C₂²⋊C₄	—	34	1	no	—
1580	C₂²⋊C₄	—	34	1	no	—
1581	C₂²⋊C₄	—	34	1	no	—
1582	C₂²⋊C₄	—	34	1	no	—
1583	C₂²⋊C₄	—	34	1	no	—
1584	C₂²⋊C₄	—	34	1	no	—
1585	C₂²⋊C₄	—	34	1	no	—
1586	C₂²⋊C₄	—	34	1	no	—
1587	C₄²	—	2	1	no	—
1588	C₄²	—	2	1	no	—
1589	C₄²	—	2	1	no	—
1590	C₄²	—	17	1	no	—
1591	C₄²	—	17	1	no	—
1592	C₄²	—	17	1	no	—
1593	C₄²	—	17	1	no	—
1594	C₄²	—	17	1	no	—
1595	C₄²	—	17	1	no	—
1596	C₄²	—	34	1	no	—
1597	C₄²	—	34	1	no	—
1598	C₄²	—	34	1	no	—
1599	C₄²	D₄×D₁₇	1	1	yes	characteristic
1600	C₄²	D₄×D₁₇	1	1	yes	characteristic
1601	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1602	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	2	1	no	—
1606	C₂³	—	4	2	no	—
1607	C₂³	—	4	2	no	—
1608	C₂³	—	8	1	no	—
1609	C₂³	—	17	1	no	—
1610	C₂³	—	17	1	no	—
1611	C₂³	—	34	1	no	—
1612	C₂³	—	34	1	no	—
1613	C₂³	—	34	1	no	—
1614	C₂³	—	68	2	no	—
1615	C₂³	—	68	2	no	—
1616	C₂³	—	68	2	no	—
1617	C₂³	—	68	2	no	—
1618	C₂³	—	68	2	no	—
1619	C₂³	—	68	2	no	—
1620	C₂³	—	136	1	no	—
1621	C₂³	—	136	1	no	—
1622	C₂³	—	136	1	no	—
1623	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1624	Q₈	—	2	1	no	—
1625	Q₈	—	2	1	no	—
1626	Q₈	—	34	2	no	—
1627	Q₈	—	34	1	no	—
1628	Q₈	—	34	1	no	—
1629	Q₈	—	68	2	no	—
1630	Q₈	—	68	2	no	—
1631	Q₈	—	68	2	no	—
1632	Q₈	—	136	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	2	1	no	—
1636	D₄	—	2	1	no	—
1637	D₄	—	4	2	no	—
1638	D₄	—	4	2	no	—
1639	D₄	—	34	2	no	—
1640	D₄	—	34	2	no	—
1641	D₄	—	34	2	no	—
1642	D₄	—	34	1	no	—
1643	D₄	—	34	1	no	—
1644	D₄	—	34	1	no	—
1645	D₄	—	34	1	no	—
1646	D₄	—	34	1	no	—
1647	D₄	—	34	1	no	—
1648	D₄	—	68	2	no	—
1649	D₄	—	68	2	no	—
1650	D₄	—	68	2	no	—
1651	D₄	—	68	2	no	—
1652	D₄	—	68	2	no	—
1653	D₄	—	68	2	no	—
1654	D₄	—	68	2	no	—
1655	D₄	—	68	2	no	—
1656	D₄	—	68	2	no	—
1657	D₄	—	68	2	no	—
1658	D₄	—	68	2	no	—
1659	D₄	—	68	2	no	—
1660	D₄	—	68	2	no	—
1661	D₄	—	136	1	no	—
1662	D₄	—	136	1	no	—
1663	D₄	—	136	1	no	—
1664	D₄	—	136	1	no	—
1665	D₄	—	136	1	no	—
1666	D₄	C₂×#63252	1	2	yes	—
1667	D₄	C₂×#63252	1	2	yes	complemented
1668	C₂×C₄	—	2	2	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	4	1	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	4	2	no	—
1680	C₂×C₄	—	4	2	no	—
1681	C₂×C₄	—	4	2	no	—
1682	C₂×C₄	—	4	2	no	—
1683	C₂×C₄	—	4	2	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	17	1	no	—
1686	C₂×C₄	—	17	4	no	—
1687	C₂×C₄	—	17	1	no	—
1688	C₂×C₄	—	17	1	no	—
1689	C₂×C₄	—	17	1	no	—
1690	C₂×C₄	—	17	1	no	—
1691	C₂×C₄	—	17	1	no	—
1692	C₂×C₄	—	34	2	no	—
1693	C₂×C₄	—	34	1	no	—
1694	C₂×C₄	—	34	1	no	—
1695	C₂×C₄	—	34	1	no	—
1696	C₂×C₄	—	34	1	no	—
1697	C₂×C₄	—	34	1	no	—
1698	C₂×C₄	—	34	1	no	—
1699	C₂×C₄	—	34	1	no	—
1700	C₂×C₄	—	34	1	no	—
1701	C₂×C₄	—	34	1	no	—
1702	C₂×C₄	—	68	1	no	—
1703	C₂×C₄	—	68	1	no	—
1704	C₂×C₄	—	68	2	no	—
1705	C₂×C₄	—	68	2	no	—
1706	C₂×C₄	—	68	2	no	—
1707	C₂×C₄	—	68	2	no	—
1708	C₂×C₄	—	68	2	no	—
1709	C₂×C₄	—	68	2	no	—
1710	C₂×C₄	—	68	2	no	—
1711	C₂×C₄	—	68	2	no	—
1712	C₂×C₄	—	68	2	no	—
1713	C₂×C₄	—	68	2	no	—
1714	C₂×C₄	—	68	2	no	—
1715	C₂×C₄	—	68	2	no	—
1716	C₂×C₄	—	68	2	no	—
1717	C₂×C₄	—	136	1	no	—
1718	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1719	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1720	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1721	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1722	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1723	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	2	1	no	—
1727	C₈	—	34	1	no	—
1728	C₈	—	34	1	no	—
1729	C₈	—	34	1	no	—
1730	C₈	—	34	1	no	—
1731	C₈	C₂×#63252	1	2	yes	complemented
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	2	no	—
1735	C₂²	—	2	2	no	—
1736	C₂²	—	2	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	8	4	no	—
1745	C₂²	—	17	2	no	—
1746	C₂²	—	34	1	no	—
1747	C₂²	—	34	1	no	—
1748	C₂²	—	34	1	no	—
1749	C₂²	—	34	1	no	—
1750	C₂²	—	34	1	no	—
1751	C₂²	—	68	1	no	—
1752	C₂²	—	68	1	no	—
1753	C₂²	—	68	1	no	—
1754	C₂²	—	68	1	no	—
1755	C₂²	—	68	1	no	—
1756	C₂²	—	68	1	no	—
1757	C₂²	—	68	1	no	—
1758	C₂²	—	68	1	no	—
1759	C₂²	—	68	1	no	—
1760	C₂²	—	136	4	no	—
1761	C₂²	—	136	4	no	—
1762	C₂²	—	136	4	no	—
1763	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1764	C₄	—	2	1	no	—
1765	C₄	—	2	1	no	—
1766	C₄	—	2	1	no	—
1767	C₄	—	2	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	4	1	no	—
1771	C₄	—	4	1	no	—
1772	C₄	—	4	1	no	—
1773	C₄	—	17	2	no	—
1774	C₄	—	34	1	no	—
1775	C₄	—	34	1	no	—
1776	C₄	—	34	1	no	—
1777	C₄	—	34	1	no	—
1778	C₄	—	34	1	no	—
1779	C₄	—	68	1	no	—
1780	C₄	—	68	1	no	—
1781	C₄	—	68	1	no	—
1782	C₄	—	68	1	no	—
1783	C₄	—	68	1	no	—
1784	C₄	AGL(1,ℤ/8)×D₁₇	1	2	yes	—
1785	C₄	C₂²×#63252	1	1	yes	characteristic
1786	C₄	#11763645	1	1	yes	characteristic
1787	C₂	—	4	1	no	—
1788	C₂	—	4	2	no	—
1789	C₂	—	4	2	no	—
1790	C₂	—	8	1	no	—
1791	C₂	—	34	2	no	—
1792	C₂	—	68	1	no	—
1793	C₂	—	136	1	no	—
1794	C₂	—	136	1	no	—
1795	C₂	—	136	1	no	—
1796	C₂	D₄×#63252	1	1	yes	characteristic
1797	C₂	C₂×AGL(1,ℤ/8)×D₁₇	1	1	yes	characteristic
1798	C₂	#14543557	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₇
Fitting	C₄×C₁₇×AGL(1,ℤ/8)	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	C₄×AGL(1,ℤ/8)	D₁₇
hypocenter	C₁₇	#61437
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×AGL(1,ℤ/8)

Complements

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

N	H ≅ G/N	type
1. #14542346	C₂	semidirect
2. D₄×#63252	C₂	semidirect
3. #14541805	C₂	semidirect
4. #14541684	C₂	semidirect
5. #14541503	C₂	semidirect
6. #14541492	C₂	semidirect
7. #14541375	C₂	semidirect
8. #14541229	C₂	semidirect
9. #14541225	C₂	semidirect
10. #14541085	C₂	semidirect
11. #14541022	C₂	semidirect
12. #14540810	C₂	semidirect
13. #14540806	C₂	semidirect
14. #14540750	C₂	semidirect
15. #14540746	C₂	semidirect
16. #14540378	C₂	semidirect
17. #14540266	C₂	semidirect
18. #14540258	C₂	semidirect
19. #14539379	C₂	semidirect
20. #14539375	C₂	semidirect
21. #14539340	C₂	semidirect
22. #14538844	C₂	semidirect
23. #14538840	C₂	semidirect
24. #14538835	C₂	semidirect
25. #14538831	C₂	semidirect
26. #14538790	C₂	semidirect
27. #14538782	C₂	semidirect
28. #14537746	C₂	semidirect
29. C₄×#10587597	C₂	semidirect
30. C₄×D₈×D₁₇	C₂	semidirect
31. C₄×C₁₇×AGL(1,ℤ/8)	C₂	semidirect
35. #11763531	C₂²	semidirect
36. #11763522	C₂²	semidirect
37. #11763518	C₂²	semidirect
39. #11763500	C₂²	semidirect
40. #11763498	C₂²	semidirect
44. #11763480	C₂²	semidirect
45. D₄×Dic₃₄	C₂²	semidirect
49. #11763460	C₂²	semidirect
50. #11763458	C₂²	semidirect
52. #11763454	C₂²	semidirect
55. #11763447	C₂²	semidirect
58. D₄×C₂²⋊D₁₇	C₂²	semidirect
59. #11763363	C₂²	semidirect
60. #11763359	C₂²	semidirect
62. #11763356	C₂²	semidirect
63. #11763346	C₂²	semidirect
65. #11763343	C₂²	semidirect
72. C₄×#63254	C₂²	semidirect
74. C₄×D₄×D₁₇	C₂²	semidirect
75. C₄×D₄×D₁₇	C₂²	semidirect
77. #11763218	C₂²	semidirect
78. #11763216	C₂²	semidirect
79. #11763206	C₂²	semidirect
80. #11763198	C₂²	semidirect
81. #11763195	C₂²	semidirect
82. #11763180	C₂²	semidirect
83. #11763174	C₂²	semidirect
84. #11763172	C₂²	semidirect
85. #11763170	C₂²	semidirect
86. #11763169	C₂²	semidirect
87. #11763158	C₂²	semidirect
88. #11763154	C₂²	semidirect
89. #11763144	C₂²	semidirect
90. #11763143	C₂²	semidirect
91. #11763141	C₂²	semidirect
92. #11763138	C₂²	semidirect
93. #11763136	C₂²	semidirect
94. #11763133	C₂²	semidirect
95. #11763133	C₂²	semidirect
96. #11763132	C₂²	semidirect
97. #11763129	C₂²	semidirect
98. #11763127	C₂²	semidirect
99. #11763124	C₂²	semidirect
100. #11763121	C₂²	semidirect
101. #11763109	C₂²	semidirect
102. #11763109	C₂²	semidirect
103. #11763108	C₂²	semidirect
104. #11763107	C₂²	semidirect
105. #11763104	C₂²	semidirect
106. #11763103	C₂²	semidirect
107. #11763099	C₂²	semidirect
108. #11763098	C₂²	semidirect
109. #11763097	C₂²	semidirect
110. #11763097	C₂²	semidirect
111. #11763088	C₂²	semidirect
112. #11763087	C₂²	semidirect
113. #11763063	C₂²	semidirect
114. #11763062	C₂²	semidirect
115. #11763062	C₂²	semidirect
116. #11763061	C₂²	semidirect
117. #11763058	C₂²	semidirect
118. #11763055	C₂²	semidirect
119. #11763055	C₂²	semidirect
120. #11763052	C₂²	semidirect
121. #11763041	C₂²	semidirect
122. #11763039	C₂²	semidirect
123. #11763037	C₂²	semidirect
124. #11763035	C₂²	semidirect
125. #11763027	C₂²	semidirect
128. #11763024	C₂²	semidirect
129. #11763013	C₂²	semidirect
130. #11763012	C₂²	semidirect
131. #11763009	C₂²	semidirect
132. #11763008	C₂²	semidirect
133. #11763004	C₂²	semidirect
134. #11763003	C₂²	semidirect
135. #11763002	C₂²	semidirect
136. #11763002	C₂²	semidirect
138. #11762960	C₂²	semidirect
140. #11762958	C₂²	semidirect
141. #11762955	C₂²	semidirect
142. #11762954	C₂²	semidirect
143. #11762954	C₂²	semidirect
144. #11762951	C₂²	semidirect
146. #11762944	C₂²	semidirect
148. #11762941	C₂²	semidirect
149. #11762937	C₂²	semidirect
150. #11762937	C₂²	semidirect
152. #11762918	C₂²	semidirect
153. #11762908	C₂²	semidirect
154. #11762906	C₂²	semidirect
155. C₄×#63219	C₂²	semidirect
156. C₄×#63219	C₂²	semidirect
157. C₄×#63230	C₂²	semidirect
158. C₄×#63230	C₂²	semidirect
159. C₄×#63229	C₂²	semidirect
160. C₄×#63229	C₂²	semidirect
161. C₄×D₁₃₆	C₂²	semidirect
162. C₄×D₁₃₆	C₂²	semidirect
164. #11762891	C₂²	semidirect
166. C₄×#63228	C₂²	semidirect
167. C₄×#63228	C₂²	semidirect
168. C₄×#63228	C₂²	semidirect
170. #11762889	C₂²	semidirect
171. #11762885	C₂²	semidirect
172. #11762885	C₂²	semidirect
173. #11762882	C₂²	semidirect
174. #11762882	C₂²	semidirect
175. #11762878	C₂²	semidirect
176. #11762878	C₂²	semidirect
177. #11762862	C₂²	semidirect
178. #11762860	C₂²	semidirect
179. #11762860	C₂²	semidirect
180. #11762850	C₂²	semidirect
181. #107×D₁₇	C₂²	semidirect
182. #11762812	C₂²	semidirect
183. #11762807	C₂²	semidirect
185. #102×D₁₇	C₂²	semidirect
186. C₄×#63218	C₂²	semidirect
187. C₄×C₈×D₁₇	C₂²	semidirect
189. C₄×#41×C₁₇	C₂²	semidirect
190. C₂×C₄×D₄×C₁₇	C₂²	semidirect
192. C₁₇×#442	C₂²	semidirect
193. C₁₇×#440	C₂²	semidirect
194. C₁₇×#440	C₂²	semidirect
195. C₄×SD₁₆×C₁₇	C₂²	semidirect
196. C₄×SD₁₆×C₁₇	C₂²	semidirect
198. C₄×D₈×C₁₇	C₂²	semidirect
199. C₁₇×#428	C₂²	semidirect
200. C₁₇×#418	C₂²	semidirect
201. C₁₇×#417	C₂²	semidirect
202. C₄×M₁₆×C₁₇	C₂²	semidirect
584. D₈×C₁₇	#41	semidirect
734. D₄×C₁₇	C₂×#41	semidirect
817. C₄×D₁₇	AGL(1,ℤ/8)	semidirect
828. C₈×C₁₇	C₂×#41	semidirect
862. C₄×AGL(1,ℤ/8)	D₁₇	semidirect
961. C₄×#41	C₂×D₁₇	semidirect
965. C₂×C₄×D₄	C₂×D₁₇	semidirect
1044. #442	C₂×D₁₇	semidirect
1047. #440	C₂×D₁₇	semidirect
1048. #440	C₂×D₁₇	semidirect
1055. C₄×SD₁₆	C₂×D₁₇	semidirect
1056. C₄×SD₁₆	C₂×D₁₇	semidirect
1068. C₄×D₈	C₂×D₁₇	semidirect
1079. #428	C₂×D₁₇	semidirect
1082. #418	C₂×D₁₇	semidirect
1084. #417	C₂×D₁₇	semidirect
1088. C₄×M₁₆	C₂×D₁₇	semidirect
1381. C₁₇	#61437	semidirect
1496. D₈	#63252	semidirect
1667. D₄	C₂×#63252	semidirect
1731. C₈	C₂×#63252	semidirect

Maximal subgroups

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

subgroup	index
#14542346	2
D₄×#63252	2
#14541805	2
#14541684	2
#14541503	2
#14541492	2
#14541375	2
#14541229	2
#14541225	2
#14541085	2
#14541022	2
#14540810	2
#14540806	2
#14540750	2
#14540746	2
#14540378	2
#14540266	2
#14540258	2
#14539379	2
#14539375	2
#14539340	2
#14538844	2
#14538840	2
#14538835	2
#14538831	2
#14538790	2
#14538782	2
#14537746	2
C₄×#10587597	2
C₄×D₈×D₁₇	2
C₄×C₁₇×AGL(1,ℤ/8)	2
#61437	17