Subgroups — D₁₇×#3510 #17942806

Order 4352.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542683	C₂	1	1	yes	maximal, characteristic, complemented
2	#14542682	C₂	1	1	yes	maximal, characteristic, complemented
3	#14542681	C₂	1	1	yes	maximal, characteristic, complemented
4	#14542680	C₂	1	1	yes	maximal, characteristic, complemented
5	#14542679	C₂	1	1	yes	maximal, characteristic, complemented
6	#14542678	C₂	1	1	yes	maximal, characteristic, complemented
7	#14542677	C₂	1	4	yes	maximal, complemented
8	#14542676	C₂	1	4	yes	maximal, complemented
9	#14542675	C₂	1	1	yes	maximal, characteristic, complemented
10	#14542674	C₂	1	4	yes	maximal, complemented
11	#14542673	C₂	1	4	yes	maximal, complemented
12	#14542672	C₂	1	8	yes	maximal, complemented
13	D₁₇×#559	C₂	1	4	yes	maximal, complemented
14	D₁₇×#556	C₂	1	4	yes	maximal, complemented
15	D₁₇×#551	C₂	1	8	yes	maximal, complemented
16	D₁₇×#542	C₂	1	4	yes	maximal, complemented
17	D₁₇×#536	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₇×#535	C₂	1	1	yes	maximal, characteristic
19	D₁₇×#533	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₇×#529	C₂	1	4	yes	maximal, complemented
21	C₂×#124×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₇×#519	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₇×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#41×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₇×#3510	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#41×D₁₇	C₂²	1	1	yes	characteristic
27	C₂²×Q₈×D₁₇	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic
29	#11763545	C₂²	1	4	yes	complemented
30	#11763544	C₂²	1	4	yes	complemented
31	#11763544	C₂²	1	4	yes	complemented
32	#11763543	C₂²	1	8	yes	complemented
33	#11763543	C₂²	1	8	yes	complemented
34	#11763542	C₂²	1	4	yes	complemented
35	#11763542	C₂²	1	8	yes	complemented
36	#11763542	C₂²	1	4	yes	complemented
37	#11763541	C₂²	1	4	yes	complemented
38	#11763541	C₂²	1	4	yes	complemented
39	#11763541	C₂²	1	8	yes	complemented
40	#11763533	C₂²	1	4	yes	complemented
41	#11763532	C₂²	1	4	yes	complemented
42	#11763531	C₂²	1	4	yes	complemented
43	#11763531	C₂²	1	4	yes	complemented
44	#11763530	C₂²	1	8	yes	complemented
45	#11763529	C₂²	1	4	yes	complemented
46	#11763528	C₂²	1	4	yes	complemented
47	#11763528	C₂²	1	4	yes	complemented
48	#11763527	C₂²	1	8	yes	complemented
49	#11763526	C₂²	1	8	yes	complemented
50	#11763526	C₂²	1	8	yes	complemented
51	#11763490	C₂²	1	8	yes	complemented
52	#11763489	C₂²	1	8	yes	complemented
53	#11763488	C₂²	1	8	yes	complemented
54	#11763488	C₂²	1	8	yes	complemented
55	#11763487	C₂²	1	8	yes	complemented
56	#11763486	C₂²	1	8	yes	complemented
57	#11763486	C₂²	1	8	yes	complemented
58	#11763485	C₂²	1	8	yes	complemented
59	#11763485	C₂²	1	8	yes	complemented
60	#11763484	C₂²	1	8	yes	complemented
61	#11763484	C₂²	1	8	yes	complemented
62	#11763483	C₂²	1	8	yes	complemented
63	#11763483	C₂²	1	8	yes	complemented
64	#11763482	C₂²	1	8	yes	complemented
65	#11763482	C₂²	1	8	yes	complemented
66	#11763433	C₂²	1	4	yes	complemented
67	#11763432	C₂²	1	4	yes	complemented
68	#11763431	C₂²	1	4	yes	complemented
69	#11763430	C₂²	1	4	yes	complemented
70	#11763429	C₂²	1	8	yes	complemented
71	#11763428	C₂²	1	4	yes	complemented
72	#11763427	C₂²	1	8	yes	complemented
73	#11763426	C₂²	1	4	yes	complemented
74	#11763425	C₂²	1	8	yes	complemented
75	#11763424	C₂²	1	4	yes	complemented
76	#11763423	C₂²	1	8	yes	complemented
77	#11763385	C₂²	1	1	yes	characteristic, complemented
78	#11763384	C₂²	1	2	yes	complemented
79	#11763383	C₂²	1	1	yes	characteristic, complemented
80	#11763382	C₂²	1	4	yes	complemented
81	#11763381	C₂²	1	4	yes	complemented
82	#11763380	C₂²	1	1	yes	characteristic, complemented
83	#11763379	C₂²	1	2	yes	complemented
84	#11763378	C₂²	1	1	yes	characteristic
85	#11763377	C₂²	1	2	yes	—
86	#11763376	C₂²	1	1	yes	characteristic
87	#11763375	C₂²	1	4	yes	—
88	#11763374	C₂²	1	4	yes	—
89	#11763373	C₂²	1	1	yes	characteristic
90	#11763372	C₂²	1	2	yes	—
91	#11763366	C₂²	1	1	yes	characteristic, complemented
92	#11763365	C₂²	1	2	yes	complemented
93	#11763364	C₂²	1	2	yes	complemented
94	#11763363	C₂²	1	4	yes	complemented
95	#11763362	C₂²	1	1	yes	characteristic, complemented
96	#11763362	C₂²	1	1	yes	characteristic, complemented
97	#11763361	C₂²	1	4	yes	complemented
98	C₄⋊Q₈×D₁₇	C₂²	1	2	yes	complemented
99	C₄⋊Q₈×D₁₇	C₂²	1	2	yes	complemented
100	#127×D₁₇	C₂²	1	2	yes	—
101	#11763346	C₂²	1	4	yes	complemented
102	#11763345	C₂²	1	4	yes	complemented
103	#11763344	C₂²	1	4	yes	complemented
104	#11763343	C₂²	1	4	yes	complemented
105	#11763342	C₂²	1	8	yes	complemented
106	#11763341	C₂²	1	4	yes	complemented
107	#11763340	C₂²	1	4	yes	complemented
108	#11763339	C₂²	1	8	yes	complemented
109	#11763338	C₂²	1	4	yes	complemented
110	#11763337	C₂²	1	8	yes	complemented
111	#11763336	C₂²	1	8	yes	complemented
112	#126×D₁₇	C₂²	1	8	yes	complemented
113	#126×D₁₇	C₂²	1	8	yes	complemented
114	#125×D₁₇	C₂²	1	2	yes	complemented
115	C₂×#10587633	C₂²	1	1	yes	characteristic, complemented
116	C₂×#10587561	C₂²	1	1	yes	characteristic, complemented
117	C₂×#10587622	C₂²	1	1	yes	characteristic, complemented
118	C₂×#10587571	C₂²	1	4	yes	complemented
119	#124×D₁₇	C₂²	1	2	yes	—
120	#124×D₁₇	C₂²	1	4	yes	—
121	#124×D₁₇	C₂²	1	2	yes	—
122	#124×D₁₇	C₂²	1	2	yes	—
123	#124×D₁₇	C₂²	1	2	yes	complemented
124	#124×D₁₇	C₂²	1	4	yes	complemented
125	#124×D₁₇	C₂²	1	2	yes	complemented
126	#124×D₁₇	C₂²	1	2	yes	complemented
127	#124×D₁₇	C₂²	1	8	yes	complemented
128	#123×D₁₇	C₂²	1	4	yes	—
129	#123×D₁₇	C₂²	1	8	yes	complemented
130	#123×D₁₇	C₂²	1	8	yes	complemented
131	C₂²⋊Q₈×D₁₇	C₂²	1	4	yes	—
132	C₂²⋊Q₈×D₁₇	C₂²	1	4	yes	complemented
133	C₂²⋊Q₈×D₁₇	C₂²	1	8	yes	complemented
134	#121×D₁₇	C₂²	1	4	yes	—
135	#120×D₁₇	C₂²	1	4	yes	—
136	#11763287	C₂²	1	1	yes	characteristic, complemented
137	#11763286	C₂²	1	4	yes	complemented
138	#11763286	C₂²	1	1	yes	characteristic, complemented
139	#11763286	C₂²	1	1	yes	characteristic, complemented
140	#11763285	C₂²	1	4	yes	complemented
141	#11763285	C₂²	1	4	yes	complemented
142	#11763284	C₂²	1	1	yes	characteristic, complemented
143	#11763283	C₂²	1	1	yes	characteristic, complemented
144	#11763283	C₂²	1	1	yes	characteristic, complemented
145	#11763282	C₂²	1	4	yes	complemented
146	#11763281	C₂²	1	4	yes	complemented
147	#11763281	C₂²	1	4	yes	complemented
148	#41×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
149	C₄×#63256	C₂²	1	2	yes	complemented
150	C₄×#63252	C₂²	1	2	yes	complemented
151	C₄×#63252	C₂²	1	1	yes	characteristic, complemented
152	#11763277	C₂²	1	2	yes	complemented
153	#11763277	C₂²	1	1	yes	characteristic, complemented
154	C₄×#63254	C₂²	1	2	yes	complemented
155	C₄×#63254	C₂²	1	4	yes	complemented
156	C₄×Q₈×D₁₇	C₂²	1	4	yes	complemented
157	C₄×Q₈×D₁₇	C₂²	1	4	yes	complemented
158	C₄×Q₈×D₁₇	C₂²	1	4	yes	complemented
159	C₄×Q₈×D₁₇	C₂²	1	2	yes	complemented
160	C₄×D₄×D₁₇	C₂²	1	4	yes	—
161	C₄×D₄×D₁₇	C₂²	1	4	yes	—
162	C₄×D₄×D₁₇	C₂²	1	4	yes	—
163	C₄×D₄×D₁₇	C₂²	1	2	yes	complemented
164	C₄×D₄×D₁₇	C₂²	1	8	yes	complemented
165	#117×D₁₇	C₂²	1	1	yes	characteristic
166	#117×D₁₇	C₂²	1	1	yes	characteristic
167	#117×D₁₇	C₂²	1	1	yes	characteristic
168	#117×D₁₇	C₂²	1	4	yes	—
169	#117×D₁₇	C₂²	1	2	yes	complemented
170	#117×D₁₇	C₂²	1	8	yes	complemented
171	C₂×C₂²⋊C₄×D₁₇	C₂²	1	4	yes	—
172	C₂×C₂²⋊C₄×D₁₇	C₂²	1	4	yes	—
173	C₂×C₄²×D₁₇	C₂²	1	1	yes	characteristic
174	C₂×C₄²×D₁₇	C₂²	1	2	yes	complemented
175	C₁₇×#559	C₂²	1	4	yes	complemented
176	C₁₇×#556	C₂²	1	4	yes	complemented
177	C₁₇×#551	C₂²	1	8	yes	complemented
178	C₁₇×#542	C₂²	1	4	yes	complemented
179	C₁₇×#536	C₂²	1	1	yes	characteristic, complemented
180	C₁₇×#535	C₂²	1	1	yes	characteristic
181	C₁₇×#533	C₂²	1	1	yes	characteristic, complemented
182	C₁₇×#529	C₂²	1	4	yes	complemented
183	C₂×C₁₇×#124	C₂²	1	1	yes	characteristic, complemented
184	C₁₇×#519	C₂²	1	1	yes	characteristic, complemented
185	C₁₇×#518	C₂²	1	1	yes	characteristic, complemented
186	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₇	C₂³	1	2	yes	—
188	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₁₇	C₂³	1	2	yes	—
192	#41×D₁₇	—	2	8	no	—
193	C₂×#63256	C₂³	1	1	yes	characteristic
194	C₂×Q₈×D₁₇	—	2	8	no	—
195	C₂×Q₈×D₁₇	C₂³	1	2	yes	—
196	C₂×Q₈×D₁₇	C₂³	1	2	yes	—
197	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
198	C₂×Q₈×D₁₇	C₂³	1	2	yes	—
199	C₂×Q₈×D₁₇	C₂³	1	2	yes	—
200	C₂×Q₈×D₁₇	C₂³	1	4	yes	—
201	C₂×#63254	C₂³	1	1	yes	characteristic
202	C₂×#63254	C₂³	1	2	yes	—
203	C₂×D₄×D₁₇	—	2	8	no	—
204	C₂×D₄×D₁₇	C₂³	1	2	yes	—
205	C₂×D₄×D₁₇	C₂³	1	2	yes	—
206	C₂×D₄×D₁₇	C₂³	1	2	yes	—
207	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₇	C₂³	1	2	yes	—
209	C₂×D₄×D₁₇	C₂³	1	2	yes	—
210	C₂×D₄×D₁₇	C₂³	1	8	yes	—
211	C₂×#63252	C₂³	1	2	yes	—
212	C₂×#63252	C₂³	1	1	yes	characteristic
213	C₂²×D₆₈	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₇	C₂³	1	2	yes	—
215	C₂²×C₄×D₁₇	C₂³	1	2	yes	—
216	C₂²×C₄×D₁₇	C₂³	1	2	yes	—
217	C₂²×C₄×D₁₇	C₂³	1	4	yes	—
218	C₂²×C₄×D₁₇	C₂³	1	8	yes	—
219	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
220	C₂²×Dic₃₄	C₂³	1	2	yes	—
221	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
222	C₁₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
223	C₁₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
224	C₁₇×#127	C₂³	1	2	yes	—
225	C₁₇×#126	C₂³	1	8	yes	complemented
226	C₁₇×#126	C₂³	1	8	yes	complemented
227	C₁₇×#125	C₂³	1	2	yes	complemented
228	C₁₇×#124	C₂³	1	2	yes	—
229	C₁₇×#124	C₂³	1	2	yes	—
230	C₁₇×#124	C₂³	1	4	yes	—
231	C₁₇×#124	C₂³	1	2	yes	—
232	C₁₇×#124	C₂³	1	8	yes	complemented
233	C₁₇×#124	C₂³	1	2	yes	complemented
234	C₁₇×#123	C₂³	1	4	yes	—
235	C₁₇×#123	C₂³	1	8	yes	complemented
236	C₁₇×#123	C₂³	1	8	yes	complemented
237	C₁₇×C₂²⋊Q₈	C₂³	1	4	yes	—
238	C₁₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
239	C₁₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
240	C₁₇×#121	C₂³	1	4	yes	—
241	C₁₇×#120	C₂³	1	4	yes	—
242	C₄×Q₈×C₁₇	C₂³	1	2	yes	complemented
243	C₄×Q₈×C₁₇	C₂³	1	4	yes	complemented
244	C₄×Q₈×C₁₇	C₂³	1	4	yes	complemented
245	C₄×Q₈×C₁₇	C₂³	1	4	yes	complemented
246	C₄×D₄×C₁₇	C₂³	1	4	yes	—
247	C₄×D₄×C₁₇	C₂³	1	4	yes	—
248	C₄×D₄×C₁₇	C₂³	1	4	yes	—
249	C₄×D₄×C₁₇	C₂³	1	2	yes	complemented
250	C₄×D₄×C₁₇	C₂³	1	8	yes	complemented
251	C₁₇×#117	C₂³	1	1	yes	characteristic
252	C₁₇×#117	C₂³	1	1	yes	characteristic
253	C₁₇×#117	C₂³	1	4	yes	—
254	C₁₇×#117	C₂³	1	1	yes	characteristic
255	C₁₇×#117	C₂³	1	2	yes	complemented
256	C₁₇×#117	C₂³	1	8	yes	complemented
257	C₂×C₂²⋊C₄×C₁₇	C₂³	1	4	yes	—
258	C₂×C₂²⋊C₄×C₁₇	C₂³	1	4	yes	—
259	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
260	C₂×C₄²×C₁₇	C₂³	1	2	yes	complemented
261	#10587639	C₂³	1	4	yes	—
262	C₂×C₂²⋊Dic₁₇	C₂³	1	4	yes	—
263	C₂×C₂²⋊Dic₁₇	C₂³	1	4	yes	—
264	#10587633	C₂³	1	2	yes	—
265	#10587633	C₂³	1	4	yes	—
266	#10587633	C₂³	1	2	yes	—
267	#10587633	C₂³	1	2	yes	—
268	#10587633	C₂³	1	8	yes	complemented
269	#10587633	C₂³	1	2	yes	complemented
270	#10587632	C₂³	1	4	yes	—
271	#10587632	C₂³	1	8	yes	complemented
272	#10587632	C₂³	1	4	yes	complemented
273	Q₈×Dic₁₇	C₂³	1	2	yes	complemented
274	Q₈×Dic₁₇	C₂³	1	4	yes	complemented
275	Q₈×Dic₁₇	C₂³	1	4	yes	complemented
276	Q₈×Dic₁₇	C₂³	1	4	yes	complemented
277	#10587630	C₂³	1	2	yes	complemented
278	#10587630	C₂³	1	2	yes	complemented
279	#10587630	C₂³	1	4	yes	complemented
280	#10587626	C₂³	1	2	yes	—
281	#10587626	C₂³	1	2	yes	—
282	#10587626	C₂³	1	8	yes	—
283	#10587625	C₂³	1	8	yes	—
284	#10587624	C₂³	1	4	yes	—
285	#10587623	C₂³	1	4	yes	—
286	#10587623	C₂³	1	8	yes	—
287	#10587622	C₂³	1	2	yes	—
288	#10587622	C₂³	1	4	yes	—
289	#10587622	C₂³	1	2	yes	—
290	#10587622	C₂³	1	2	yes	—
291	#10587622	C₂³	1	8	yes	complemented
292	#10587622	C₂³	1	2	yes	complemented
293	#10587621	C₂³	1	4	yes	—
294	#10587621	C₂³	1	8	yes	complemented
295	#10587621	C₂³	1	8	yes	complemented
296	D₄×Dic₁₇	C₂³	1	4	yes	—
297	D₄×Dic₁₇	C₂³	1	4	yes	—
298	D₄×Dic₁₇	C₂³	1	4	yes	—
299	D₄×Dic₁₇	C₂³	1	8	yes	complemented
300	D₄×Dic₁₇	C₂³	1	2	yes	complemented
301	#10587616	C₂³	1	4	yes	—
302	#10587615	C₂³	1	4	yes	—
303	#10587615	C₂³	1	8	yes	complemented
304	#10587615	C₂³	1	8	yes	complemented
305	C₄×C₂²⋊D₁₇	C₂³	1	4	yes	—
306	C₄×C₂²⋊D₁₇	C₂³	1	4	yes	—
307	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	—
308	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	—
309	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
310	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
311	C₄×C₂²⋊D₁₇	C₂³	1	4	yes	complemented
312	C₂×#63227	C₂³	1	4	yes	—
313	C₂×#63227	C₂³	1	8	yes	—
314	C₂×#63227	C₂³	1	4	yes	—
315	#10587612	C₂³	1	4	yes	—
316	#10587612	C₂³	1	1	yes	characteristic
317	#10587612	C₂³	1	1	yes	characteristic
318	#10587612	C₂³	1	1	yes	characteristic
319	#10587612	C₂³	1	8	yes	complemented
320	#10587612	C₂³	1	2	yes	complemented
321	#10587610	C₂³	1	4	yes	—
322	#10587610	C₂³	1	8	yes	complemented
323	#10587610	C₂³	1	4	yes	complemented
324	C₂×C₄×Dic₁₇	C₂³	1	2	yes	—
325	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₁₇	C₂³	1	4	yes	complemented
327	C₂×C₄×Dic₁₇	C₂³	1	2	yes	complemented
328	#10587584	C₂³	1	8	yes	complemented
329	#10587584	C₂³	1	8	yes	complemented
330	#10587584	C₂³	1	8	yes	complemented
331	#10587584	C₂³	1	8	yes	complemented
332	#10587584	C₂³	1	8	yes	complemented
333	#10587584	C₂³	1	8	yes	complemented
334	#10587583	C₂³	1	4	yes	—
335	#10587583	C₂³	1	8	yes	complemented
336	#10587583	C₂³	1	4	yes	complemented
337	#10587582	C₂³	1	4	yes	—
338	#10587582	C₂³	1	4	yes	—
339	#10587582	C₂³	1	8	yes	complemented
340	#10587582	C₂³	1	8	yes	complemented
341	#10587582	C₂³	1	8	yes	complemented
342	#10587581	C₂³	1	4	yes	—
343	#10587580	C₂³	1	8	yes	—
344	#10587580	C₂³	1	8	yes	complemented
345	#10587580	C₂³	1	8	yes	complemented
346	#10587580	C₂³	1	8	yes	complemented
347	#10587580	C₂³	1	8	yes	complemented
348	#10587579	C₂³	1	4	yes	—
349	#10587579	C₂³	1	4	yes	—
350	#10587579	C₂³	1	4	yes	—
351	#10587579	C₂³	1	8	yes	complemented
352	#10587579	C₂³	1	2	yes	complemented
353	#10587578	C₂³	1	8	yes	—
354	#10587578	C₂³	1	2	yes	—
355	#10587578	C₂³	1	2	yes	—
356	#10587578	C₂³	1	2	yes	—
357	#10587578	C₂³	1	8	yes	complemented
358	#10587578	C₂³	1	8	yes	complemented
359	#10587578	C₂³	1	4	yes	complemented
360	C₄⋊C₄×D₁₇	C₂³	1	2	yes	—
361	C₄⋊C₄×D₁₇	C₂³	1	2	yes	—
362	C₄⋊C₄×D₁₇	C₂³	1	2	yes	—
363	C₄⋊C₄×D₁₇	C₂³	1	8	yes	—
364	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
365	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
366	C₄⋊C₄×D₁₇	C₂³	1	8	yes	—
367	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
368	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
369	#10587576	C₂³	1	2	yes	complemented
370	#10587576	C₂³	1	2	yes	complemented
371	#10587575	C₂³	1	4	yes	complemented
372	#10587575	C₂³	1	4	yes	complemented
373	#10587574	C₂³	1	8	yes	complemented
374	#10587574	C₂³	1	4	yes	complemented
375	#10587574	C₂³	1	2	yes	complemented
376	#10587574	C₂³	1	2	yes	complemented
377	#10587573	C₂³	1	4	yes	complemented
378	#10587573	C₂³	1	4	yes	complemented
379	#10587573	C₂³	1	4	yes	complemented
380	#10587573	C₂³	1	8	yes	complemented
381	#10587573	C₂³	1	4	yes	complemented
382	#10587573	C₂³	1	2	yes	complemented
383	#10587573	C₂³	1	4	yes	complemented
384	#10587573	C₂³	1	8	yes	complemented
385	#10587573	C₂³	1	4	yes	complemented
386	#10587572	C₂³	1	4	yes	—
387	#10587572	C₂³	1	8	yes	complemented
388	#10587572	C₂³	1	8	yes	complemented
389	#10587571	C₂³	1	8	yes	—
390	#10587571	C₂³	1	8	yes	—
391	#10587571	C₂³	1	8	yes	—
392	#10587571	C₂³	1	8	yes	—
393	#10587571	C₂³	1	8	yes	—
394	#10587571	C₂³	1	8	yes	complemented
395	#10587571	C₂³	1	8	yes	complemented
396	#10587571	C₂³	1	8	yes	complemented
397	#10587571	C₂³	1	8	yes	complemented
398	#10587571	C₂³	1	8	yes	complemented
399	#10587570	C₂³	1	8	yes	—
400	#10587569	C₂³	1	8	yes	—
401	#10587569	C₂³	1	8	yes	complemented
402	#10587569	C₂³	1	8	yes	complemented
403	#10587569	C₂³	1	8	yes	complemented
404	#10587569	C₂³	1	8	yes	complemented
405	#10587568	C₂³	1	4	yes	—
406	#10587568	C₂³	1	8	yes	—
407	#10587567	C₂³	1	4	yes	—
408	#10587567	C₂³	1	4	yes	—
409	#10587567	C₂³	1	8	yes	—
410	#10587567	C₂³	1	8	yes	—
411	#10587567	C₂³	1	8	yes	complemented
412	#10587567	C₂³	1	8	yes	complemented
413	#10587567	C₂³	1	4	yes	complemented
414	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
415	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
416	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
417	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
418	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
419	C₂²⋊C₄×D₁₇	C₂³	1	2	yes	—
420	C₂²⋊C₄×D₁₇	C₂³	1	2	yes	—
421	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
422	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
423	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
424	C₂²⋊C₄×D₁₇	C₂³	1	2	yes	—
425	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
426	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
427	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
428	#10587565	C₂³	1	8	yes	complemented
429	#10587565	C₂³	1	8	yes	complemented
430	#10587565	C₂³	1	8	yes	complemented
431	#10587565	C₂³	1	8	yes	complemented
432	#10587565	C₂³	1	8	yes	complemented
433	#10587565	C₂³	1	8	yes	complemented
434	#10587564	C₂³	1	4	yes	—
435	#10587564	C₂³	1	4	yes	—
436	#10587564	C₂³	1	8	yes	complemented
437	#10587564	C₂³	1	8	yes	complemented
438	#10587564	C₂³	1	8	yes	complemented
439	#10587563	C₂³	1	4	yes	—
440	#10587563	C₂³	1	4	yes	—
441	#10587563	C₂³	1	2	yes	—
442	#10587563	C₂³	1	2	yes	—
443	#10587563	C₂³	1	2	yes	—
444	#10587563	C₂³	1	8	yes	complemented
445	#10587563	C₂³	1	8	yes	complemented
446	#10587563	C₂³	1	4	yes	complemented
447	#10587562	C₂³	1	8	yes	complemented
448	#10587562	C₂³	1	8	yes	complemented
449	#10587561	C₂³	1	2	yes	—
450	#10587561	C₂³	1	4	yes	—
451	#10587561	C₂³	1	2	yes	—
452	#10587561	C₂³	1	2	yes	—
453	#10587561	C₂³	1	8	yes	complemented
454	#10587561	C₂³	1	2	yes	complemented
455	#10587560	C₂³	1	2	yes	—
456	C₄×D₆₈	C₂³	1	4	yes	—
457	C₄×D₆₈	C₂³	1	4	yes	—
458	C₄×D₆₈	C₂³	1	4	yes	—
459	C₄×D₆₈	C₂³	1	8	yes	complemented
460	C₄×D₆₈	C₂³	1	2	yes	complemented
461	#10587558	C₂³	1	8	yes	—
462	#10587558	C₂³	1	2	yes	—
463	#10587558	C₂³	1	2	yes	—
464	#10587558	C₂³	1	2	yes	—
465	#10587558	C₂³	1	8	yes	complemented
466	#10587558	C₂³	1	8	yes	complemented
467	#10587558	C₂³	1	2	yes	complemented
468	#10587558	C₂³	1	2	yes	complemented
469	C₄²×D₁₇	C₂³	1	1	yes	characteristic
470	C₄²×D₁₇	C₂³	1	1	yes	characteristic
471	C₄²×D₁₇	C₂³	1	2	yes	—
472	C₄²×D₁₇	C₂³	1	2	yes	—
473	C₄²×D₁₇	C₂³	1	1	yes	characteristic
474	C₄²×D₁₇	C₂³	1	1	yes	characteristic
475	C₄²×D₁₇	C₂³	1	2	yes	—
476	C₄²×D₁₇	C₂³	1	4	yes	—
477	C₄²×D₁₇	C₂³	1	8	yes	—
478	C₄²×D₁₇	C₂³	1	2	yes	—
479	C₄²×D₁₇	C₂³	1	2	yes	—
480	C₄²×D₁₇	C₂³	1	4	yes	complemented
481	C₄²×D₁₇	C₂³	1	2	yes	complemented
482	C₄²×D₁₇	C₂³	1	2	yes	complemented
483	#10587556	C₂³	1	2	yes	complemented
484	#10587555	C₂³	1	2	yes	complemented
485	#10587555	C₂³	1	2	yes	complemented
486	C₄×Dic₃₄	C₂³	1	4	yes	complemented
487	C₄×Dic₃₄	C₂³	1	8	yes	complemented
488	C₄×Dic₃₄	C₂³	1	2	yes	complemented
489	C₄×Dic₃₄	C₂³	1	4	yes	complemented
490	C₄×Dic₃₄	C₂³	1	4	yes	complemented
491	C₄×Dic₃₄	C₂³	1	4	yes	complemented
492	C₄×Dic₃₄	C₂³	1	4	yes	complemented
493	C₄×Dic₃₄	C₂³	1	8	yes	complemented
494	C₄×Dic₃₄	C₂³	1	4	yes	complemented
495	C₂⁴×C₁₇	C₂⁴	1	2	yes	—
496	C₂³×D₁₇	—	2	8	no	—
497	C₂³×D₁₇	—	4	8	no	—
498	C₂³×D₁₇	C₂⁴	1	2	yes	—
499	C₂³×D₁₇	C₂⁴	1	4	yes	—
500	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
501	C₂³×D₁₇	C₂⁴	1	2	yes	—
502	C₂³×D₁₇	C₂⁴	1	4	yes	—
503	#41×C₁₇	—	2	4	no	—
504	C₂×Q₈×C₁₇	—	2	4	no	—
505	C₂×Q₈×C₁₇	C₂⁴	1	2	yes	—
506	C₂×Q₈×C₁₇	C₂⁴	1	2	yes	—
507	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₇	C₂⁴	1	4	yes	—
509	C₂×D₄×C₁₇	—	2	4	no	—
510	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
511	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
512	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
513	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₇	C₂⁴	1	8	yes	—
515	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
516	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
517	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₁₇	C₂⁴	1	8	yes	—
519	C₂²×C₄×C₁₇	C₂⁴	1	4	yes	—
520	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₇	—	2	8	no	—
522	C₂×C₂²⋊D₁₇	C₂⁴	1	2	yes	—
523	C₂×C₂²⋊D₁₇	C₂⁴	1	2	yes	—
524	C₂×C₂²⋊D₁₇	C₂⁴	1	2	yes	—
525	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
526	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
527	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
528	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
529	C₂²×Dic₁₇	C₂⁴	1	2	yes	—
530	C₂²×Dic₁₇	C₂⁴	1	2	yes	—
531	C₂²×Dic₁₇	C₂⁴	1	8	yes	—
532	C₂²×Dic₁₇	C₂⁴	1	2	yes	—
533	C₂²×Dic₁₇	C₂⁴	1	4	yes	—
534	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
535	#63256	—	2	4	no	—
536	Q₈×D₁₇	—	2	8	no	—
537	Q₈×D₁₇	—	2	8	no	—
538	Q₈×D₁₇	—	2	8	no	—
539	Q₈×D₁₇	—	2	8	no	—
540	Q₈×D₁₇	—	2	4	no	—
541	Q₈×D₁₇	—	4	8	no	—
542	#63254	—	2	8	no	—
543	#63254	—	2	4	no	—
544	D₄×D₁₇	—	2	8	no	—
545	D₄×D₁₇	—	2	8	no	—
546	D₄×D₁₇	—	2	8	no	—
547	D₄×D₁₇	—	2	8	no	—
548	D₄×D₁₇	—	2	8	no	—
549	D₄×D₁₇	—	2	4	no	—
550	D₄×D₁₇	—	4	16	no	—
551	#63252	—	2	4	no	—
552	#63252	—	2	8	no	—
553	C₂×D₆₈	—	2	4	no	—
554	C₂×D₆₈	C₂⁴	1	2	yes	—
555	C₂×D₆₈	C₂⁴	1	2	yes	—
556	C₂×D₆₈	C₂⁴	1	2	yes	—
557	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
558	C₂×D₆₈	C₂⁴	1	8	yes	—
559	C₂×C₄×D₁₇	—	2	8	no	—
560	C₂×C₄×D₁₇	—	2	8	no	—
561	C₂×C₄×D₁₇	—	4	8	no	—
562	C₂×C₄×D₁₇	—	4	16	no	—
563	C₂×C₄×D₁₇	—	4	4	no	—
564	C₂×C₄×D₁₇	#41	1	8	yes	—
565	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
566	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
567	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
568	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
569	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
570	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
571	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
572	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
573	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
574	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
575	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
576	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
577	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
578	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
579	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
580	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
581	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
582	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₃₄	—	2	4	no	—
586	C₂×Dic₃₄	—	2	8	no	—
587	C₂×Dic₃₄	C₂⁴	1	2	yes	—
588	C₂×Dic₃₄	C₂⁴	1	2	yes	—
589	C₂×Dic₃₄	C₂⁴	1	4	yes	—
590	C₂×Dic₃₄	C₂⁴	1	4	yes	—
591	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₃₄	C₂⁴	1	2	yes	—
593	C₂×Dic₃₄	C₂⁴	1	4	yes	—
594	C₂×Dic₃₄	C₂⁴	1	4	yes	—
595	C₂×Dic₃₄	C₂⁴	1	4	yes	—
596	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
597	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
598	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
599	C₄⋊C₄×C₁₇	C₂⁴	1	8	yes	—
600	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
601	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
602	C₄⋊C₄×C₁₇	C₂⁴	1	8	yes	—
603	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
604	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
605	C₂²⋊C₄×C₁₇	C₂⁴	1	2	yes	—
606	C₂²⋊C₄×C₁₇	C₂⁴	1	2	yes	—
607	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
608	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
609	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
610	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
611	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
612	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
613	C₂²⋊C₄×C₁₇	C₂⁴	1	2	yes	—
614	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
615	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
616	C₄²×C₁₇	C₂⁴	1	2	yes	—
617	C₄²×C₁₇	C₂⁴	1	2	yes	—
618	C₄²×C₁₇	C₂⁴	1	8	yes	—
619	C₄²×C₁₇	C₂⁴	1	2	yes	—
620	C₄²×C₁₇	C₂⁴	1	4	yes	—
621	C₄²×C₁₇	C₂⁴	1	2	yes	—
622	C₂²⋊Dic₁₇	C₂⁴	1	2	yes	—
623	C₂²⋊Dic₁₇	C₂⁴	1	2	yes	—
624	C₂²⋊Dic₁₇	C₂⁴	1	2	yes	—
625	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
626	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
627	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
628	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
629	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
630	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
631	#63227	C₂⁴	1	4	yes	—
632	#63227	C₂⁴	1	4	yes	—
633	#63227	C₂⁴	1	4	yes	—
634	#63227	C₂⁴	1	4	yes	—
635	#63227	C₂⁴	1	8	yes	—
636	#63227	C₂⁴	1	4	yes	—
637	#63227	C₂⁴	1	8	yes	—
638	#63227	C₂⁴	1	8	yes	—
639	#63227	C₂⁴	1	8	yes	—
640	#63227	C₂⁴	1	8	yes	—
641	#63227	C₂⁴	1	8	yes	—
642	#63227	C₂⁴	1	8	yes	—
643	#63227	C₂⁴	1	8	yes	—
644	#63227	C₂⁴	1	8	yes	—
645	#63227	C₂⁴	1	8	yes	—
646	C₄⋊Dic₁₇	C₂⁴	1	2	yes	—
647	C₄⋊Dic₁₇	C₂⁴	1	2	yes	—
648	C₄⋊Dic₁₇	C₂⁴	1	8	yes	—
649	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
650	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
651	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
652	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
653	C₄⋊Dic₁₇	C₂⁴	1	2	yes	—
654	C₄⋊Dic₁₇	C₂⁴	1	8	yes	—
655	#63225	C₂⁴	1	4	yes	—
656	#63225	C₂⁴	1	8	yes	—
657	#63225	C₂⁴	1	8	yes	—
658	#63225	C₂⁴	1	4	yes	—
659	#63225	C₂⁴	1	4	yes	—
660	#63225	C₂⁴	1	4	yes	—
661	#63225	C₂⁴	1	4	yes	—
662	#63225	C₂⁴	1	4	yes	—
663	#63225	C₂⁴	1	4	yes	—
664	#63225	C₂⁴	1	4	yes	—
665	#63225	C₂⁴	1	4	yes	—
666	#63225	C₂⁴	1	4	yes	—
667	#63225	C₂⁴	1	4	yes	—
668	#63225	C₂⁴	1	8	yes	—
669	#63225	C₂⁴	1	8	yes	—
670	C₄×Dic₁₇	C₂⁴	1	2	yes	—
671	C₄×Dic₁₇	C₂⁴	1	2	yes	—
672	C₄×Dic₁₇	C₂⁴	1	2	yes	—
673	C₄×Dic₁₇	C₂⁴	1	2	yes	—
674	C₄×Dic₁₇	C₂⁴	1	4	yes	—
675	C₄×Dic₁₇	C₂⁴	1	4	yes	—
676	C₄×Dic₁₇	C₂⁴	1	8	yes	—
677	C₄×Dic₁₇	C₂⁴	1	8	yes	—
678	C₄×Dic₁₇	C₂⁴	1	4	yes	—
679	C₄×Dic₁₇	C₂⁴	1	2	yes	—
680	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
681	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
682	C₄×Dic₁₇	C₂⁴	1	2	yes	—
683	C₄×Dic₁₇	C₂⁴	1	2	yes	—
684	C₄×Dic₁₇	C₂⁴	1	2	yes	—
685	C₄×Dic₁₇	C₂⁴	1	4	yes	—
686	C₄×Dic₁₇	C₂⁴	1	4	yes	—
687	C₄×Dic₁₇	C₂⁴	1	8	yes	—
688	C₄×Dic₁₇	C₂⁴	1	4	yes	—
689	C₂×#3510	—	17	1	no	maximal, Sylow
690	C₂³×C₁₇	—	2	4	no	—
691	C₂³×C₁₇	—	4	4	no	—
692	C₂³×C₁₇	C₂⁵	1	4	yes	—
693	C₂³×C₁₇	C₂⁵	1	2	yes	—
694	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
695	C₂²×D₁₇	—	2	4	no	—
696	C₂²×D₁₇	—	2	4	no	—
697	C₂²×D₁₇	—	2	4	no	—
698	C₂²×D₁₇	—	2	8	no	—
699	C₂²×D₁₇	—	2	8	no	—
700	C₂²×D₁₇	—	2	16	no	—
701	C₂²×D₁₇	—	2	8	no	—
702	C₂²×D₁₇	—	4	8	no	—
703	C₂²×D₁₇	—	4	4	no	—
704	C₂²×D₁₇	—	8	16	no	—
705	C₂²×D₁₇	C₂×#41	1	4	yes	—
706	C₂²×D₁₇	C₂⁵	1	2	yes	—
707	C₂²×D₁₇	C₂⁵	1	4	yes	—
708	C₂²×D₁₇	C₂⁵	1	1	yes	characteristic
709	C₂²×D₁₇	C₂⁵	1	1	yes	characteristic
710	Q₈×C₁₇	—	2	4	no	—
711	Q₈×C₁₇	—	2	4	no	—
712	Q₈×C₁₇	—	2	2	no	—
713	Q₈×C₁₇	—	4	4	no	—
714	D₄×C₁₇	—	2	4	no	—
715	D₄×C₁₇	—	2	4	no	—
716	D₄×C₁₇	—	2	4	no	—
717	D₄×C₁₇	—	2	2	no	—
718	D₄×C₁₇	—	4	8	no	—
719	C₂×C₄×C₁₇	—	2	4	no	—
720	C₂×C₄×C₁₇	—	2	4	no	—
721	C₂×C₄×C₁₇	—	4	2	no	—
722	C₂×C₄×C₁₇	—	4	8	no	—
723	C₂×C₄×C₁₇	—	4	4	no	—
724	C₂×C₄×C₁₇	C₂×#41	1	4	yes	—
725	C₂×C₄×C₁₇	C₂⁵	1	2	yes	—
726	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
727	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
728	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
729	C₂×C₄×C₁₇	C₂⁵	1	2	yes	—
730	C₂×C₄×C₁₇	C₂⁵	1	2	yes	—
731	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
732	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
733	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
734	C₂²⋊D₁₇	—	2	4	no	—
735	C₂²⋊D₁₇	—	2	4	no	—
736	C₂²⋊D₁₇	—	2	4	no	—
737	C₂²⋊D₁₇	—	2	8	no	—
738	C₂²⋊D₁₇	—	2	8	no	—
739	C₂²⋊D₁₇	—	4	8	no	—
740	C₂²⋊D₁₇	—	4	8	no	—
741	C₂×Dic₁₇	—	2	4	no	—
742	C₂×Dic₁₇	—	2	4	no	—
743	C₂×Dic₁₇	—	4	2	no	—
744	C₂×Dic₁₇	—	4	8	no	—
745	C₂×Dic₁₇	—	4	4	no	—
746	C₂×Dic₁₇	C₂×#41	1	4	yes	—
747	C₂×Dic₁₇	C₂⁵	1	4	yes	—
748	C₂×Dic₁₇	C₂⁵	1	2	yes	—
749	C₂×Dic₁₇	C₂⁵	1	4	yes	—
750	C₂×Dic₁₇	C₂⁵	1	2	yes	—
751	C₂×Dic₁₇	C₂⁵	1	4	yes	—
752	C₂×Dic₁₇	C₂⁵	1	2	yes	—
753	C₂×Dic₁₇	C₂⁵	1	4	yes	—
754	C₂×Dic₁₇	C₂⁵	1	1	yes	characteristic
755	C₂×Dic₁₇	C₂⁵	1	1	yes	characteristic
756	D₆₈	—	2	4	no	—
757	D₆₈	—	2	4	no	—
758	D₆₈	—	2	4	no	—
759	D₆₈	—	2	2	no	—
760	D₆₈	—	4	8	no	—
761	C₄×D₁₇	—	2	4	no	—
762	C₄×D₁₇	—	2	8	no	—
763	C₄×D₁₇	—	2	8	no	—
764	C₄×D₁₇	—	2	4	no	—
765	C₄×D₁₇	—	2	8	no	—
766	C₄×D₁₇	—	2	8	no	—
767	C₄×D₁₇	—	2	4	no	—
768	C₄×D₁₇	—	2	8	no	—
769	C₄×D₁₇	—	2	4	no	—
770	C₄×D₁₇	—	2	4	no	—
771	C₄×D₁₇	—	4	2	no	—
772	C₄×D₁₇	—	4	8	no	—
773	C₄×D₁₇	—	4	2	no	—
774	C₄×D₁₇	—	4	8	no	—
775	C₄×D₁₇	—	4	4	no	—
776	C₄×D₁₇	—	4	4	no	—
777	C₄×D₁₇	C₂×#41	1	4	yes	—
778	C₄×D₁₇	C₂×#41	1	4	yes	—
779	C₄×D₁₇	C₂×#41	1	4	yes	—
780	C₄×D₁₇	C₂×#41	1	4	yes	—
781	Dic₃₄	—	2	4	no	—
782	Dic₃₄	—	2	4	no	—
783	Dic₃₄	—	2	2	no	—
784	Dic₃₄	—	2	8	no	—
785	Dic₃₄	—	2	8	no	—
786	Dic₃₄	—	2	4	no	—
787	Dic₃₄	—	4	4	no	—
788	Dic₃₄	—	4	4	no	—
789	Dic₃₄	—	4	4	no	—
790	#3510	—	17	4	no	—
791	#3510	—	17	4	no	—
792	#3510	—	17	8	no	—
793	#3510	—	17	4	no	—
794	#3510	—	17	1	no	—
795	#3510	—	17	1	no	—
796	#3510	—	17	1	no	—
797	#3510	—	17	4	no	—
798	#3510	—	17	1	no	—
799	#3510	—	17	1	no	—
800	#3510	—	17	1	no	—
801	#3510	—	17	1	no	—
802	#3510	D₁₇	1	1	yes	characteristic, direct product factor
803	C₂×#559	—	17	4	no	—
804	C₂×#556	—	17	4	no	—
805	C₂×#551	—	17	8	no	—
806	C₂×#542	—	17	4	no	—
807	C₂×#536	—	17	1	no	—
808	C₂×#535	—	17	1	no	—
809	C₂×#533	—	17	1	no	—
810	C₂×#529	—	17	4	no	—
811	C₂²×#124	—	17	1	no	—
812	C₂×#519	—	17	1	no	—
813	C₂×#518	—	17	1	no	—
814	C₂×C₄×#41	—	17	1	no	—
815	C₂²×C₁₇	—	2	2	no	—
816	C₂²×C₁₇	—	2	2	no	—
817	C₂²×C₁₇	—	2	4	no	—
818	C₂²×C₁₇	—	2	4	no	—
819	C₂²×C₁₇	—	2	8	no	—
820	C₂²×C₁₇	—	8	4	no	—
821	C₂²×C₁₇	C₂²×#41	1	2	yes	—
822	C₂²×C₁₇	C₂⁶	1	1	yes	characteristic
823	C₂×D₁₇	—	2	2	no	—
824	C₂×D₁₇	—	2	8	no	—
825	C₂×D₁₇	—	2	2	no	—
826	C₂×D₁₇	—	2	4	no	—
827	C₂×D₁₇	—	2	4	no	—
828	C₂×D₁₇	—	2	8	no	—
829	C₂×D₁₇	—	4	8	no	—
830	C₂×D₁₇	—	4	16	no	—
831	C₂×D₁₇	—	8	8	no	—
832	C₂×D₁₇	—	8	4	no	—
833	C₂×D₁₇	C₂²×#41	1	2	yes	—
834	C₂×D₁₇	C₂²×#41	1	2	yes	—
835	C₂×D₁₇	#585	1	4	yes	—
836	C₄×C₁₇	—	2	4	no	—
837	C₄×C₁₇	—	2	2	no	—
838	C₄×C₁₇	—	2	2	no	—
839	C₄×C₁₇	—	2	4	no	—
840	C₄×C₁₇	—	2	4	no	—
841	C₄×C₁₇	—	2	2	no	—
842	C₄×C₁₇	—	2	4	no	—
843	C₄×C₁₇	C₂²×#41	1	2	yes	—
844	C₄×C₁₇	C₂²×#41	1	2	yes	—
845	Dic₁₇	—	2	4	no	—
846	Dic₁₇	—	2	2	no	—
847	Dic₁₇	—	2	2	no	—
848	Dic₁₇	—	2	4	no	—
849	Dic₁₇	—	2	4	no	—
850	Dic₁₇	—	2	2	no	—
851	Dic₁₇	—	2	4	no	—
852	Dic₁₇	C₂²×#41	1	2	yes	—
853	Dic₁₇	C₂²×#41	1	2	yes	—
854	C₂²×#41	—	17	1	no	—
855	C₂³×Q₈	—	17	1	no	—
856	C₂³×D₄	—	17	1	no	—
857	#559	—	17	4	no	—
858	#559	—	17	4	no	—
859	#559	—	17	4	no	—
860	#559	—	17	8	no	—
861	#559	—	17	8	no	—
862	#559	—	17	8	no	—
863	#559	—	17	4	no	—
864	#559	—	17	4	no	—
865	#559	—	17	4	no	—
866	#559	—	17	8	no	—
867	#559	—	17	4	no	—
868	#559	C₂×D₁₇	1	4	yes	complemented
869	#556	—	17	4	no	—
870	#556	—	17	8	no	—
871	#556	—	17	8	no	—
872	#556	—	17	4	no	—
873	#556	—	17	4	no	—
874	#556	—	17	8	no	—
875	#556	—	17	4	no	—
876	#556	—	17	4	no	—
877	#556	—	17	4	no	—
878	#556	—	17	4	no	—
879	#556	—	17	8	no	—
880	#556	C₂×D₁₇	1	4	yes	complemented
881	#551	—	17	8	no	—
882	#551	—	17	8	no	—
883	#551	—	17	8	no	—
884	#551	—	17	8	no	—
885	#551	—	17	8	no	—
886	#551	—	17	8	no	—
887	#551	—	17	8	no	—
888	#551	—	17	8	no	—
889	#551	—	17	8	no	—
890	#551	—	17	8	no	—
891	#551	—	17	8	no	—
892	#551	—	17	8	no	—
893	#551	—	17	8	no	—
894	#551	—	17	8	no	—
895	#551	—	17	8	no	—
896	#551	C₂×D₁₇	1	8	yes	complemented
897	#542	—	17	4	no	—
898	#542	—	17	8	no	—
899	#542	—	17	4	no	—
900	#542	—	17	8	no	—
901	#542	—	17	8	no	—
902	#542	—	17	8	no	—
903	#542	—	17	4	no	—
904	#542	—	17	4	no	—
905	#542	—	17	4	no	—
906	#542	—	17	4	no	—
907	#542	—	17	4	no	—
908	#542	C₂×D₁₇	1	4	yes	complemented
909	#536	—	17	1	no	—
910	#536	—	17	1	no	—
911	#536	—	17	2	no	—
912	#536	—	17	2	no	—
913	#536	—	17	4	no	—
914	#536	—	17	4	no	—
915	#536	—	17	1	no	—
916	#536	C₂×D₁₇	1	1	yes	characteristic, complemented
917	#535	—	17	1	no	—
918	#535	—	17	1	no	—
919	#535	—	17	2	no	—
920	#535	—	17	2	no	—
921	#535	—	17	4	no	—
922	#535	—	17	4	no	—
923	#535	—	17	1	no	—
924	#535	C₂×D₁₇	1	1	yes	characteristic
925	#533	—	17	2	no	—
926	#533	—	17	2	no	—
927	#533	—	17	4	no	—
928	#533	—	17	4	no	—
929	#533	—	17	1	no	—
930	#533	—	17	1	no	—
931	#533	—	17	1	no	—
932	#533	C₂×D₁₇	1	1	yes	characteristic, complemented
933	C₂×C₄⋊Q₈	—	17	2	no	—
934	C₂×C₄⋊Q₈	—	17	2	no	—
935	C₂×#127	—	17	2	no	—
936	#529	—	17	8	no	—
937	#529	—	17	4	no	—
938	#529	—	17	4	no	—
939	#529	—	17	8	no	—
940	#529	—	17	4	no	—
941	#529	—	17	4	no	—
942	#529	—	17	4	no	—
943	#529	—	17	4	no	—
944	#529	—	17	8	no	—
945	#529	—	17	8	no	—
946	#529	—	17	4	no	—
947	#529	C₂×D₁₇	1	4	yes	complemented
948	C₂×#126	—	17	8	no	—
949	C₂×#126	—	17	8	no	—
950	C₂×#125	—	17	2	no	—
951	C₂×#124	—	17	1	no	—
952	C₂×#124	—	17	1	no	—
953	C₂×#124	—	17	2	no	—
954	C₂×#124	—	17	2	no	—
955	C₂×#124	—	17	4	no	—
956	C₂×#124	—	17	2	no	—
957	C₂×#124	—	17	2	no	—
958	C₂×#124	—	17	4	no	—
959	C₂×#124	—	17	2	no	—
960	C₂×#124	—	17	2	no	—
961	C₂×#124	—	17	8	no	—
962	C₂×#124	—	17	4	no	—
963	C₂×#124	—	17	1	no	—
964	C₂×#124	C₂×D₁₇	1	1	yes	characteristic, complemented
965	C₂×#123	—	17	4	no	—
966	C₂×#123	—	17	8	no	—
967	C₂×#123	—	17	8	no	—
968	C₂×C₂²⋊Q₈	—	17	4	no	—
969	C₂×C₂²⋊Q₈	—	17	4	no	—
970	C₂×C₂²⋊Q₈	—	17	8	no	—
971	C₂×#121	—	17	4	no	—
972	C₂×#120	—	17	4	no	—
973	#519	—	17	1	no	—
974	#519	—	17	4	no	—
975	#519	—	17	4	no	—
976	#519	—	17	1	no	—
977	#519	—	17	1	no	—
978	#519	—	17	4	no	—
979	#519	C₂×D₁₇	1	1	yes	characteristic, complemented
980	#518	—	17	1	no	—
981	#518	—	17	4	no	—
982	#518	—	17	4	no	—
983	#518	—	17	1	no	—
984	#518	—	17	1	no	—
985	#518	—	17	4	no	—
986	#518	C₂×D₁₇	1	1	yes	characteristic, complemented
987	C₄×#41	—	17	1	no	—
988	C₄×#41	—	17	2	no	—
989	C₄×#41	—	17	4	no	—
990	C₄×#41	—	17	2	no	—
991	C₄×#41	—	17	1	no	—
992	C₄×#41	—	17	2	no	—
993	C₄×#41	—	17	1	no	—
994	C₄×#41	—	17	2	no	—
995	C₄×#41	C₂×D₁₇	1	1	yes	characteristic, complemented
996	C₂×C₄×Q₈	—	17	2	no	—
997	C₂×C₄×Q₈	—	17	4	no	—
998	C₂×C₄×Q₈	—	17	4	no	—
999	C₂×C₄×Q₈	—	17	4	no	—
1000	C₂×C₄×D₄	—	17	4	no	—
1001	C₂×C₄×D₄	—	17	4	no	—
1002	C₂×C₄×D₄	—	17	4	no	—
1003	C₂×C₄×D₄	—	17	2	no	—
1004	C₂×C₄×D₄	—	17	8	no	—
1005	C₂×#117	—	17	1	no	—
1006	C₂×#117	—	17	1	no	—
1007	C₂×#117	—	17	1	no	—
1008	C₂×#117	—	17	4	no	—
1009	C₂×#117	—	17	2	no	—
1010	C₂×#117	—	17	8	no	—
1011	C₂²×C₂²⋊C₄	—	17	4	no	—
1012	C₂²×C₂²⋊C₄	—	17	4	no	—
1013	C₂²×C₄²	—	17	1	no	—
1014	C₂²×C₄²	—	17	2	no	—
1015	C₂×C₁₇	—	2	2	no	—
1016	C₂×C₁₇	—	4	4	no	—
1017	C₂×C₁₇	—	4	2	no	—
1018	C₂×C₁₇	C₂³×#41	1	1	yes	characteristic
1019	C₂×C₁₇	C₂×#585	1	2	yes	—
1020	D₁₇	—	2	2	no	—
1021	D₁₇	—	4	2	no	—
1022	D₁₇	—	4	4	no	—
1023	D₁₇	#3510	1	4	yes	direct product factor
1024	C₂⁵	—	17	2	no	—
1025	C₂×#41	—	17	1	no	—
1026	C₂×#41	—	17	2	no	—
1027	C₂×#41	—	17	1	no	—
1028	C₂×#41	—	17	2	no	—
1029	C₂×#41	—	17	1	no	—
1030	C₂×#41	—	34	8	no	—
1031	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1032	C₂²×Q₈	—	17	2	no	—
1033	C₂²×Q₈	—	17	2	no	—
1034	C₂²×Q₈	—	17	1	no	—
1035	C₂²×Q₈	—	17	2	no	—
1036	C₂²×Q₈	—	17	2	no	—
1037	C₂²×Q₈	—	17	4	no	—
1038	C₂²×Q₈	—	17	2	no	—
1039	C₂²×Q₈	—	17	1	no	—
1040	C₂²×Q₈	—	34	8	no	—
1041	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1042	C₂²×D₄	—	17	2	no	—
1043	C₂²×D₄	—	17	2	no	—
1044	C₂²×D₄	—	17	2	no	—
1045	C₂²×D₄	—	17	2	no	—
1046	C₂²×D₄	—	17	1	no	—
1047	C₂²×D₄	—	17	2	no	—
1048	C₂²×D₄	—	17	2	no	—
1049	C₂²×D₄	—	17	8	no	—
1050	C₂²×D₄	—	17	1	no	—
1051	C₂²×D₄	—	34	8	no	—
1052	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1053	C₂³×C₄	—	17	1	no	—
1054	C₂³×C₄	—	17	2	no	—
1055	C₂³×C₄	—	17	2	no	—
1056	C₂³×C₄	—	17	2	no	—
1057	C₂³×C₄	—	17	8	no	—
1058	C₂³×C₄	—	17	4	no	—
1059	C₄⋊Q₈	—	17	4	no	—
1060	C₄⋊Q₈	—	17	2	no	—
1061	C₄⋊Q₈	—	17	2	no	—
1062	C₄⋊Q₈	—	17	4	no	—
1063	C₄⋊Q₈	—	17	2	no	—
1064	C₄⋊Q₈	—	17	2	no	—
1065	C₄⋊Q₈	—	17	8	no	—
1066	C₄⋊Q₈	—	17	2	no	—
1067	C₄⋊Q₈	—	17	2	no	—
1068	C₄⋊Q₈	C₂²×D₁₇	1	2	yes	complemented
1069	C₄⋊Q₈	C₂²×D₁₇	1	2	yes	complemented
1070	#127	—	17	8	no	—
1071	#127	—	17	2	no	—
1072	#127	—	17	2	no	—
1073	#127	—	17	2	no	—
1074	#127	C₂²×D₁₇	1	2	yes	—
1075	#126	—	17	8	no	—
1076	#126	—	17	8	no	—
1077	#126	—	17	8	no	—
1078	#126	—	17	8	no	—
1079	#126	—	17	8	no	—
1080	#126	—	17	8	no	—
1081	#126	—	17	8	no	—
1082	#126	—	17	8	no	—
1083	#126	—	17	8	no	—
1084	#126	—	17	8	no	—
1085	#126	—	17	8	no	—
1086	#126	—	17	8	no	—
1087	#126	—	17	8	no	—
1088	#126	—	17	8	no	—
1089	#126	C₂²×D₁₇	1	8	yes	complemented
1090	#126	C₂²×D₁₇	1	8	yes	complemented
1091	#125	—	17	4	no	—
1092	#125	—	17	4	no	—
1093	#125	—	17	2	no	—
1094	#125	—	17	2	no	—
1095	#125	—	17	2	no	—
1096	#125	C₂²×D₁₇	1	2	yes	complemented
1097	#124	—	17	2	no	—
1098	#124	—	17	2	no	—
1099	#124	—	17	4	no	—
1100	#124	—	17	2	no	—
1101	#124	—	17	2	no	—
1102	#124	—	17	8	no	—
1103	#124	—	17	2	no	—
1104	#124	—	17	2	no	—
1105	#124	—	17	4	no	—
1106	#124	—	17	2	no	—
1107	#124	—	17	2	no	—
1108	#124	—	17	8	no	—
1109	#124	—	17	8	no	—
1110	#124	—	17	8	no	—
1111	#124	—	17	8	no	—
1112	#124	—	17	8	no	—
1113	#124	—	17	8	no	—
1114	#124	—	17	8	no	—
1115	#124	—	17	8	no	—
1116	#124	—	17	8	no	—
1117	#124	—	17	8	no	—
1118	#124	—	17	8	no	—
1119	#124	—	17	2	no	—
1120	#124	—	17	2	no	—
1121	#124	—	17	4	no	—
1122	#124	—	17	2	no	—
1123	#124	—	17	2	no	—
1124	#124	—	17	8	no	—
1125	#124	C₂²×D₁₇	1	2	yes	—
1126	#124	C₂²×D₁₇	1	2	yes	—
1127	#124	C₂²×D₁₇	1	4	yes	—
1128	#124	C₂²×D₁₇	1	2	yes	—
1129	#124	C₂²×D₁₇	1	2	yes	complemented
1130	#124	C₂²×D₁₇	1	8	yes	complemented
1131	#123	—	17	8	no	—
1132	#123	—	17	4	no	—
1133	#123	—	17	8	no	—
1134	#123	—	17	8	no	—
1135	#123	—	17	4	no	—
1136	#123	—	17	8	no	—
1137	#123	—	17	8	no	—
1138	#123	—	17	8	no	—
1139	#123	—	17	8	no	—
1140	#123	—	17	8	no	—
1141	#123	—	17	8	no	—
1142	#123	—	17	8	no	—
1143	#123	—	17	8	no	—
1144	#123	—	17	8	no	—
1145	#123	—	17	8	no	—
1146	#123	—	17	4	no	—
1147	#123	—	17	8	no	—
1148	#123	—	17	8	no	—
1149	#123	—	17	8	no	—
1150	#123	C₂²×D₁₇	1	4	yes	—
1151	#123	C₂²×D₁₇	1	8	yes	complemented
1152	#123	C₂²×D₁₇	1	8	yes	complemented
1153	C₂²⋊Q₈	—	17	4	no	—
1154	C₂²⋊Q₈	—	17	4	no	—
1155	C₂²⋊Q₈	—	17	8	no	—
1156	C₂²⋊Q₈	—	17	4	no	—
1157	C₂²⋊Q₈	—	17	4	no	—
1158	C₂²⋊Q₈	—	17	8	no	—
1159	C₂²⋊Q₈	—	17	8	no	—
1160	C₂²⋊Q₈	—	17	4	no	—
1161	C₂²⋊Q₈	—	17	4	no	—
1162	C₂²⋊Q₈	—	17	4	no	—
1163	C₂²⋊Q₈	—	17	4	no	—
1164	C₂²⋊Q₈	—	17	8	no	—
1165	C₂²⋊Q₈	—	17	8	no	—
1166	C₂²⋊Q₈	—	17	8	no	—
1167	C₂²⋊Q₈	—	17	8	no	—
1168	C₂²⋊Q₈	—	17	4	no	—
1169	C₂²⋊Q₈	—	17	4	no	—
1170	C₂²⋊Q₈	—	17	8	no	—
1171	C₂²⋊Q₈	—	17	8	no	—
1172	C₂²⋊Q₈	C₂²×D₁₇	1	4	yes	—
1173	C₂²⋊Q₈	C₂²×D₁₇	1	4	yes	complemented
1174	C₂²⋊Q₈	C₂²×D₁₇	1	8	yes	complemented
1175	#121	—	17	4	no	—
1176	#121	—	17	8	no	—
1177	#121	—	17	4	no	—
1178	#121	—	17	4	no	—
1179	#121	—	17	8	no	—
1180	#121	C₂²×D₁₇	1	4	yes	—
1181	#120	—	17	4	no	—
1182	#120	—	17	4	no	—
1183	#120	—	17	8	no	—
1184	#120	—	17	8	no	—
1185	#120	—	17	4	no	—
1186	#120	C₂²×D₁₇	1	4	yes	—
1187	C₄×Q₈	—	17	2	no	—
1188	C₄×Q₈	—	17	4	no	—
1189	C₄×Q₈	—	17	4	no	—
1190	C₄×Q₈	—	17	4	no	—
1191	C₄×Q₈	—	17	4	no	—
1192	C₄×Q₈	—	17	2	no	—
1193	C₄×Q₈	—	17	8	no	—
1194	C₄×Q₈	—	17	4	no	—
1195	C₄×Q₈	—	17	8	no	—
1196	C₄×Q₈	—	17	4	no	—
1197	C₄×Q₈	—	17	4	no	—
1198	C₄×Q₈	—	17	4	no	—
1199	C₄×Q₈	—	17	4	no	—
1200	C₄×Q₈	—	17	2	no	—
1201	C₄×Q₈	—	17	4	no	—
1202	C₄×Q₈	—	17	8	no	—
1203	C₄×Q₈	—	17	4	no	—
1204	C₄×Q₈	—	17	4	no	—
1205	C₄×Q₈	—	17	8	no	—
1206	C₄×Q₈	—	17	4	no	—
1207	C₄×Q₈	—	17	4	no	—
1208	C₄×Q₈	—	17	4	no	—
1209	C₄×Q₈	C₂²×D₁₇	1	2	yes	complemented
1210	C₄×Q₈	C₂²×D₁₇	1	4	yes	complemented
1211	C₄×Q₈	C₂²×D₁₇	1	4	yes	complemented
1212	C₄×Q₈	C₂²×D₁₇	1	4	yes	complemented
1213	C₄×D₄	—	17	4	no	—
1214	C₄×D₄	—	17	2	no	—
1215	C₄×D₄	—	17	4	no	—
1216	C₄×D₄	—	17	4	no	—
1217	C₄×D₄	—	17	8	no	—
1218	C₄×D₄	—	17	4	no	—
1219	C₄×D₄	—	17	4	no	—
1220	C₄×D₄	—	17	4	no	—
1221	C₄×D₄	—	17	8	no	—
1222	C₄×D₄	—	17	8	no	—
1223	C₄×D₄	—	17	8	no	—
1224	C₄×D₄	—	17	8	no	—
1225	C₄×D₄	—	17	4	no	—
1226	C₄×D₄	—	17	2	no	—
1227	C₄×D₄	—	17	4	no	—
1228	C₄×D₄	—	17	4	no	—
1229	C₄×D₄	—	17	8	no	—
1230	C₄×D₄	—	17	4	no	—
1231	C₄×D₄	—	17	4	no	—
1232	C₄×D₄	—	17	4	no	—
1233	C₄×D₄	—	17	8	no	—
1234	C₄×D₄	—	17	8	no	—
1235	C₄×D₄	—	17	8	no	—
1236	C₄×D₄	—	17	8	no	—
1237	C₄×D₄	—	17	4	no	—
1238	C₄×D₄	—	17	2	no	—
1239	C₄×D₄	—	17	4	no	—
1240	C₄×D₄	—	17	4	no	—
1241	C₄×D₄	—	17	8	no	—
1242	C₄×D₄	C₂²×D₁₇	1	4	yes	—
1243	C₄×D₄	C₂²×D₁₇	1	4	yes	—
1244	C₄×D₄	C₂²×D₁₇	1	4	yes	—
1245	C₄×D₄	C₂²×D₁₇	1	2	yes	complemented
1246	C₄×D₄	C₂²×D₁₇	1	8	yes	complemented
1247	#117	—	17	1	no	—
1248	#117	—	17	2	no	—
1249	#117	—	17	1	no	—
1250	#117	—	17	1	no	—
1251	#117	—	17	4	no	—
1252	#117	—	17	8	no	—
1253	#117	—	17	2	no	—
1254	#117	—	17	4	no	—
1255	#117	—	17	2	no	—
1256	#117	—	17	2	no	—
1257	#117	—	17	8	no	—
1258	#117	—	17	8	no	—
1259	#117	—	17	8	no	—
1260	#117	—	17	2	no	—
1261	#117	—	17	4	no	—
1262	#117	—	17	2	no	—
1263	#117	—	17	2	no	—
1264	#117	—	17	4	no	—
1265	#117	—	17	4	no	—
1266	#117	—	17	8	no	—
1267	#117	—	17	8	no	—
1268	#117	—	17	2	no	—
1269	#117	—	17	2	no	—
1270	#117	—	17	2	no	—
1271	#117	—	17	2	no	—
1272	#117	—	17	2	no	—
1273	#117	—	17	8	no	—
1274	#117	—	17	8	no	—
1275	#117	—	17	8	no	—
1276	#117	C₂²×D₁₇	1	1	yes	characteristic
1277	#117	C₂²×D₁₇	1	1	yes	characteristic
1278	#117	C₂²×D₁₇	1	1	yes	characteristic
1279	#117	C₂²×D₁₇	1	4	yes	—
1280	#117	C₂²×D₁₇	1	2	yes	complemented
1281	#117	C₂²×D₁₇	1	8	yes	complemented
1282	C₂×C₄⋊C₄	—	17	4	no	—
1283	C₂×C₄⋊C₄	—	17	2	no	—
1284	C₂×C₄⋊C₄	—	17	2	no	—
1285	C₂×C₄⋊C₄	—	17	4	no	—
1286	C₂×C₄⋊C₄	—	17	2	no	—
1287	C₂×C₄⋊C₄	—	17	8	no	—
1288	C₂×C₄⋊C₄	—	17	8	no	—
1289	C₂×C₄⋊C₄	—	17	4	no	—
1290	C₂×C₄⋊C₄	—	17	4	no	—
1291	C₂×C₂²⋊C₄	—	17	4	no	—
1292	C₂×C₂²⋊C₄	—	17	4	no	—
1293	C₂×C₂²⋊C₄	—	17	8	no	—
1294	C₂×C₂²⋊C₄	—	17	4	no	—
1295	C₂×C₂²⋊C₄	—	17	4	no	—
1296	C₂×C₂²⋊C₄	—	17	2	no	—
1297	C₂×C₂²⋊C₄	—	17	2	no	—
1298	C₂×C₂²⋊C₄	—	17	8	no	—
1299	C₂×C₂²⋊C₄	—	17	8	no	—
1300	C₂×C₂²⋊C₄	—	17	4	no	—
1301	C₂×C₂²⋊C₄	—	17	4	no	—
1302	C₂×C₂²⋊C₄	—	17	8	no	—
1303	C₂×C₂²⋊C₄	—	17	8	no	—
1304	C₂×C₂²⋊C₄	—	17	8	no	—
1305	C₂×C₂²⋊C₄	—	17	8	no	—
1306	C₂×C₂²⋊C₄	—	17	2	no	—
1307	C₂×C₂²⋊C₄	—	17	4	no	—
1308	C₂×C₂²⋊C₄	—	17	8	no	—
1309	C₂×C₂²⋊C₄	—	17	8	no	—
1310	C₂×C₂²⋊C₄	C₂²×D₁₇	1	4	yes	—
1311	C₂×C₂²⋊C₄	C₂²×D₁₇	1	4	yes	—
1312	C₂×C₄²	—	17	2	no	—
1313	C₂×C₄²	—	17	1	no	—
1314	C₂×C₄²	—	17	4	no	—
1315	C₂×C₄²	—	17	2	no	—
1316	C₂×C₄²	—	17	2	no	—
1317	C₂×C₄²	—	17	8	no	—
1318	C₂×C₄²	—	17	4	no	—
1319	C₂×C₄²	—	17	1	no	—
1320	C₂×C₄²	—	17	2	no	—
1321	C₂×C₄²	—	17	2	no	—
1322	C₂×C₄²	—	17	2	no	—
1323	C₂×C₄²	—	17	2	no	—
1324	C₂×C₄²	—	17	1	no	—
1325	C₂×C₄²	—	17	1	no	—
1326	C₂×C₄²	—	17	4	no	—
1327	C₂×C₄²	—	17	2	no	—
1328	C₂×C₄²	—	17	2	no	—
1329	C₂×C₄²	—	17	1	no	—
1330	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1331	C₂×C₄²	C₂²×D₁₇	1	2	yes	complemented
1332	C₁₇	C₂×#3510	1	1	yes	characteristic, complemented, Sylow
1333	C₂⁴	—	17	1	no	—
1334	C₂⁴	—	17	4	no	—
1335	C₂⁴	—	17	2	no	—
1336	C₂⁴	—	17	4	no	—
1337	C₂⁴	—	17	2	no	—
1338	C₂⁴	—	34	8	no	—
1339	C₂⁴	—	68	8	no	—
1340	C₂⁴	C₂³×D₁₇	1	2	yes	—
1341	#41	—	2	4	no	—
1342	#41	—	34	8	no	—
1343	#41	—	34	8	no	—
1344	#41	—	34	4	no	—
1345	#41	—	34	4	no	—
1346	#41	—	34	4	no	—
1347	C₂×Q₈	—	2	4	no	—
1348	C₂×Q₈	—	17	4	no	—
1349	C₂×Q₈	—	17	2	no	—
1350	C₂×Q₈	—	17	4	no	—
1351	C₂×Q₈	—	17	2	no	—
1352	C₂×Q₈	—	17	2	no	—
1353	C₂×Q₈	—	17	1	no	—
1354	C₂×Q₈	—	17	4	no	—
1355	C₂×Q₈	—	17	4	no	—
1356	C₂×Q₈	—	17	4	no	—
1357	C₂×Q₈	—	34	8	no	—
1358	C₂×Q₈	—	34	8	no	—
1359	C₂×Q₈	—	34	8	no	—
1360	C₂×Q₈	—	34	8	no	—
1361	C₂×Q₈	—	34	8	no	—
1362	C₂×Q₈	—	34	4	no	—
1363	C₂×Q₈	—	34	4	no	—
1364	C₂×Q₈	—	68	8	no	—
1365	C₂×Q₈	C₂³×D₁₇	1	2	yes	—
1366	C₂×Q₈	C₂³×D₁₇	1	2	yes	—
1367	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1368	C₂×Q₈	C₂³×D₁₇	1	4	yes	—
1369	C₂×D₄	—	2	4	no	—
1370	C₂×D₄	—	17	2	no	—
1371	C₂×D₄	—	17	2	no	—
1372	C₂×D₄	—	17	4	no	—
1373	C₂×D₄	—	17	4	no	—
1374	C₂×D₄	—	17	2	no	—
1375	C₂×D₄	—	17	8	no	—
1376	C₂×D₄	—	17	8	no	—
1377	C₂×D₄	—	17	2	no	—
1378	C₂×D₄	—	17	2	no	—
1379	C₂×D₄	—	17	2	no	—
1380	C₂×D₄	—	17	1	no	—
1381	C₂×D₄	—	17	8	no	—
1382	C₂×D₄	—	34	8	no	—
1383	C₂×D₄	—	34	8	no	—
1384	C₂×D₄	—	34	8	no	—
1385	C₂×D₄	—	34	8	no	—
1386	C₂×D₄	—	34	4	no	—
1387	C₂×D₄	—	34	8	no	—
1388	C₂×D₄	—	34	8	no	—
1389	C₂×D₄	—	34	4	no	—
1390	C₂×D₄	—	68	16	no	—
1391	C₂×D₄	C₂³×D₁₇	1	2	yes	—
1392	C₂×D₄	C₂³×D₁₇	1	2	yes	—
1393	C₂×D₄	C₂³×D₁₇	1	2	yes	—
1394	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1395	C₂×D₄	C₂³×D₁₇	1	8	yes	—
1396	C₂²×C₄	—	17	1	no	—
1397	C₂²×C₄	—	17	8	no	—
1398	C₂²×C₄	—	17	1	no	—
1399	C₂²×C₄	—	17	1	no	—
1400	C₂²×C₄	—	17	1	no	—
1401	C₂²×C₄	—	17	1	no	—
1402	C₂²×C₄	—	17	2	no	—
1403	C₂²×C₄	—	17	2	no	—
1404	C₂²×C₄	—	17	2	no	—
1405	C₂²×C₄	—	17	4	no	—
1406	C₂²×C₄	—	17	8	no	—
1407	C₂²×C₄	—	17	4	no	—
1408	C₂²×C₄	—	17	2	no	—
1409	C₂²×C₄	—	17	4	no	—
1410	C₂²×C₄	—	17	4	no	—
1411	C₂²×C₄	—	17	2	no	—
1412	C₂²×C₄	—	17	2	no	—
1413	C₂²×C₄	—	17	2	no	—
1414	C₂²×C₄	—	17	2	no	—
1415	C₂²×C₄	—	17	4	no	—
1416	C₂²×C₄	—	17	4	no	—
1417	C₂²×C₄	—	17	2	no	—
1418	C₂²×C₄	—	17	2	no	—
1419	C₂²×C₄	—	17	4	no	—
1420	C₂²×C₄	—	17	4	no	—
1421	C₂²×C₄	—	17	8	no	—
1422	C₂²×C₄	—	17	8	no	—
1423	C₂²×C₄	—	34	8	no	—
1424	C₂²×C₄	—	34	8	no	—
1425	C₂²×C₄	—	68	8	no	—
1426	C₂²×C₄	—	68	16	no	—
1427	C₂²×C₄	—	68	4	no	—
1428	C₂²×C₄	C₂³×D₁₇	1	2	yes	—
1429	C₂²×C₄	C₂³×D₁₇	1	2	yes	—
1430	C₂²×C₄	C₂³×D₁₇	1	2	yes	—
1431	C₂²×C₄	C₂³×D₁₇	1	4	yes	—
1432	C₂²×C₄	C₂³×D₁₇	1	8	yes	—
1433	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1434	C₄⋊C₄	—	17	4	no	—
1435	C₄⋊C₄	—	17	4	no	—
1436	C₄⋊C₄	—	17	4	no	—
1437	C₄⋊C₄	—	17	4	no	—
1438	C₄⋊C₄	—	17	2	no	—
1439	C₄⋊C₄	—	17	4	no	—
1440	C₄⋊C₄	—	17	2	no	—
1441	C₄⋊C₄	—	17	4	no	—
1442	C₄⋊C₄	—	17	4	no	—
1443	C₄⋊C₄	—	17	4	no	—
1444	C₄⋊C₄	—	17	4	no	—
1445	C₄⋊C₄	—	17	2	no	—
1446	C₄⋊C₄	—	17	8	no	—
1447	C₄⋊C₄	—	17	8	no	—
1448	C₄⋊C₄	—	17	8	no	—
1449	C₄⋊C₄	—	17	8	no	—
1450	C₄⋊C₄	—	17	8	no	—
1451	C₄⋊C₄	—	17	8	no	—
1452	C₄⋊C₄	—	17	4	no	—
1453	C₄⋊C₄	—	17	4	no	—
1454	C₄⋊C₄	—	17	4	no	—
1455	C₄⋊C₄	—	17	4	no	—
1456	C₄⋊C₄	—	17	4	no	—
1457	C₄⋊C₄	—	17	4	no	—
1458	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1459	C₄⋊C₄	C₂³×D₁₇	1	2	yes	—
1460	C₄⋊C₄	C₂³×D₁₇	1	2	yes	—
1461	C₄⋊C₄	C₂³×D₁₇	1	2	yes	—
1462	C₄⋊C₄	C₂³×D₁₇	1	8	yes	—
1463	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1464	C₄⋊C₄	C₂³×D₁₇	1	8	yes	—
1465	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1466	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1467	C₂²⋊C₄	—	17	2	no	—
1468	C₂²⋊C₄	—	17	2	no	—
1469	C₂²⋊C₄	—	17	8	no	—
1470	C₂²⋊C₄	—	17	8	no	—
1471	C₂²⋊C₄	—	17	8	no	—
1472	C₂²⋊C₄	—	17	2	no	—
1473	C₂²⋊C₄	—	17	4	no	—
1474	C₂²⋊C₄	—	17	8	no	—
1475	C₂²⋊C₄	—	17	8	no	—
1476	C₂²⋊C₄	—	17	4	no	—
1477	C₂²⋊C₄	—	17	4	no	—
1478	C₂²⋊C₄	—	17	8	no	—
1479	C₂²⋊C₄	—	17	8	no	—
1480	C₂²⋊C₄	—	17	8	no	—
1481	C₂²⋊C₄	—	17	8	no	—
1482	C₂²⋊C₄	—	17	8	no	—
1483	C₂²⋊C₄	—	17	8	no	—
1484	C₂²⋊C₄	—	17	4	no	—
1485	C₂²⋊C₄	—	17	4	no	—
1486	C₂²⋊C₄	—	17	4	no	—
1487	C₂²⋊C₄	—	17	8	no	—
1488	C₂²⋊C₄	—	17	8	no	—
1489	C₂²⋊C₄	—	17	8	no	—
1490	C₂²⋊C₄	—	17	8	no	—
1491	C₂²⋊C₄	C₂³×D₁₇	1	2	yes	—
1492	C₂²⋊C₄	C₂³×D₁₇	1	2	yes	—
1493	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1494	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1495	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1496	C₂²⋊C₄	C₂³×D₁₇	1	2	yes	—
1497	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1498	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1499	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1500	C₄²	—	17	2	no	—
1501	C₄²	—	17	1	no	—
1502	C₄²	—	17	4	no	—
1503	C₄²	—	17	2	no	—
1504	C₄²	—	17	4	no	—
1505	C₄²	—	17	4	no	—
1506	C₄²	—	17	4	no	—
1507	C₄²	—	17	2	no	—
1508	C₄²	—	17	1	no	—
1509	C₄²	—	17	2	no	—
1510	C₄²	—	17	2	no	—
1511	C₄²	—	17	2	no	—
1512	C₄²	—	17	8	no	—
1513	C₄²	—	17	8	no	—
1514	C₄²	—	17	8	no	—
1515	C₄²	—	17	4	no	—
1516	C₄²	—	17	2	no	—
1517	C₄²	—	17	4	no	—
1518	C₄²	—	17	2	no	—
1519	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1520	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1521	C₄²	C₂³×D₁₇	1	2	yes	—
1522	C₄²	C₂³×D₁₇	1	2	yes	—
1523	C₄²	C₂³×D₁₇	1	4	yes	—
1524	C₄²	C₂³×D₁₇	1	8	yes	—
1525	C₄²	C₂³×D₁₇	1	2	yes	—
1526	C₄²	C₂³×D₁₇	1	2	yes	—
1527	C₂³	—	2	4	no	—
1528	C₂³	—	4	4	no	—
1529	C₂³	—	17	1	no	—
1530	C₂³	—	17	4	no	—
1531	C₂³	—	17	1	no	—
1532	C₂³	—	17	4	no	—
1533	C₂³	—	17	2	no	—
1534	C₂³	—	34	4	no	—
1535	C₂³	—	34	4	no	—
1536	C₂³	—	34	8	no	—
1537	C₂³	—	34	16	no	—
1538	C₂³	—	34	8	no	—
1539	C₂³	—	34	8	no	—
1540	C₂³	—	34	4	no	—
1541	C₂³	—	68	4	no	—
1542	C₂³	—	68	8	no	—
1543	C₂³	—	136	16	no	—
1544	C₂³	C₂⁴×D₁₇	1	4	yes	—
1545	C₂³	C₂⁴×D₁₇	1	2	yes	—
1546	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1547	Q₈	—	2	4	no	—
1548	Q₈	—	2	4	no	—
1549	Q₈	—	2	2	no	—
1550	Q₈	—	4	4	no	—
1551	Q₈	—	34	8	no	—
1552	Q₈	—	34	8	no	—
1553	Q₈	—	34	4	no	—
1554	Q₈	—	34	4	no	—
1555	Q₈	—	34	4	no	—
1556	Q₈	—	34	2	no	—
1557	Q₈	—	68	4	no	—
1558	Q₈	—	68	4	no	—
1559	Q₈	—	68	4	no	—
1560	D₄	—	2	4	no	—
1561	D₄	—	2	4	no	—
1562	D₄	—	2	4	no	—
1563	D₄	—	2	2	no	—
1564	D₄	—	4	8	no	—
1565	D₄	—	34	4	no	—
1566	D₄	—	34	8	no	—
1567	D₄	—	34	8	no	—
1568	D₄	—	34	4	no	—
1569	D₄	—	34	4	no	—
1570	D₄	—	34	4	no	—
1571	D₄	—	34	4	no	—
1572	D₄	—	34	4	no	—
1573	D₄	—	34	2	no	—
1574	D₄	—	68	8	no	—
1575	D₄	—	68	8	no	—
1576	D₄	—	68	8	no	—
1577	C₂×C₄	—	2	4	no	—
1578	C₂×C₄	—	2	4	no	—
1579	C₂×C₄	—	4	4	no	—
1580	C₂×C₄	—	4	8	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	17	4	no	—
1583	C₂×C₄	—	17	1	no	—
1584	C₂×C₄	—	17	1	no	—
1585	C₂×C₄	—	17	4	no	—
1586	C₂×C₄	—	17	4	no	—
1587	C₂×C₄	—	17	4	no	—
1588	C₂×C₄	—	17	4	no	—
1589	C₂×C₄	—	17	2	no	—
1590	C₂×C₄	—	17	4	no	—
1591	C₂×C₄	—	17	4	no	—
1592	C₂×C₄	—	17	4	no	—
1593	C₂×C₄	—	17	2	no	—
1594	C₂×C₄	—	17	2	no	—
1595	C₂×C₄	—	17	4	no	—
1596	C₂×C₄	—	34	4	no	—
1597	C₂×C₄	—	34	4	no	—
1598	C₂×C₄	—	34	8	no	—
1599	C₂×C₄	—	34	8	no	—
1600	C₂×C₄	—	34	8	no	—
1601	C₂×C₄	—	34	4	no	—
1602	C₂×C₄	—	34	8	no	—
1603	C₂×C₄	—	34	4	no	—
1604	C₂×C₄	—	34	8	no	—
1605	C₂×C₄	—	34	4	no	—
1606	C₂×C₄	—	34	4	no	—
1607	C₂×C₄	—	34	4	no	—
1608	C₂×C₄	—	68	4	no	—
1609	C₂×C₄	—	68	4	no	—
1610	C₂×C₄	—	68	8	no	—
1611	C₂×C₄	—	68	2	no	—
1612	C₂×C₄	—	68	8	no	—
1613	C₂×C₄	—	68	2	no	—
1614	C₂×C₄	—	68	4	no	—
1615	C₂×C₄	—	68	8	no	—
1616	C₂×C₄	—	68	2	no	—
1617	C₂×C₄	#41×D₁₇	1	4	yes	—
1618	C₂×C₄	C₂⁴×D₁₇	1	2	yes	—
1619	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1620	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1621	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1622	C₂×C₄	C₂⁴×D₁₇	1	2	yes	—
1623	C₂×C₄	C₂⁴×D₁₇	1	2	yes	—
1624	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1625	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1626	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	4	no	—
1630	C₂²	—	2	4	no	—
1631	C₂²	—	2	8	no	—
1632	C₂²	—	8	4	no	—
1633	C₂²	—	17	2	no	—
1634	C₂²	—	17	4	no	—
1635	C₂²	—	17	2	no	—
1636	C₂²	—	34	8	no	—
1637	C₂²	—	34	2	no	—
1638	C₂²	—	34	2	no	—
1639	C₂²	—	34	4	no	—
1640	C₂²	—	34	4	no	—
1641	C₂²	—	34	8	no	—
1642	C₂²	—	68	16	no	—
1643	C₂²	—	68	8	no	—
1644	C₂²	—	136	4	no	—
1645	C₂²	—	136	8	no	—
1646	C₂²	C₂×#41×D₁₇	1	2	yes	—
1647	C₂²	C₂⁵×D₁₇	1	1	yes	characteristic
1648	C₄	—	2	2	no	—
1649	C₄	—	2	4	no	—
1650	C₄	—	2	2	no	—
1651	C₄	—	2	4	no	—
1652	C₄	—	2	4	no	—
1653	C₄	—	2	2	no	—
1654	C₄	—	2	4	no	—
1655	C₄	—	17	2	no	—
1656	C₄	—	17	2	no	—
1657	C₄	—	34	2	no	—
1658	C₄	—	34	4	no	—
1659	C₄	—	34	2	no	—
1660	C₄	—	34	4	no	—
1661	C₄	—	34	4	no	—
1662	C₄	—	34	2	no	—
1663	C₄	—	34	4	no	—
1664	C₄	C₂×#41×D₁₇	1	2	yes	—
1665	C₄	C₂×#41×D₁₇	1	2	yes	—
1666	C₂	—	2	2	no	—
1667	C₂	—	4	4	no	—
1668	C₂	—	4	2	no	—
1669	C₂	—	17	4	no	—
1670	C₂	—	34	2	no	—
1671	C₂	—	68	4	no	—
1672	C₂	—	68	2	no	—
1673	C₂	C₂²×#41×D₁₇	1	1	yes	characteristic
1674	C₂	D₁₇×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₇
commutator, socle, cosocle	C₂²×C₁₇	C₂⁶
Fitting	C₁₇×#3510	C₂
prime radical	D₁₇×#535	C₂
hypercenter	#3510	D₁₇
hypocenter	C₁₇	C₂×#3510
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #3510

Complements

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

N	H ≅ G/N	type
1. #14542683	C₂	semidirect
2. #14542682	C₂	semidirect
3. #14542681	C₂	semidirect
4. #14542680	C₂	semidirect
5. #14542679	C₂	semidirect
6. #14542678	C₂	semidirect
7. #14542677	C₂	semidirect
8. #14542676	C₂	semidirect
9. #14542675	C₂	semidirect
10. #14542674	C₂	semidirect
11. #14542673	C₂	semidirect
12. #14542672	C₂	semidirect
13. D₁₇×#559	C₂	semidirect
14. D₁₇×#556	C₂	semidirect
15. D₁₇×#551	C₂	semidirect
16. D₁₇×#542	C₂	semidirect
17. D₁₇×#536	C₂	semidirect
19. D₁₇×#533	C₂	semidirect
20. D₁₇×#529	C₂	semidirect
21. C₂×#124×D₁₇	C₂	semidirect
22. D₁₇×#519	C₂	semidirect
23. D₁₇×#518	C₂	semidirect
24. C₄×#41×D₁₇	C₂	semidirect
25. C₁₇×#3510	C₂	semidirect
29. #11763545	C₂²	semidirect
30. #11763544	C₂²	semidirect
31. #11763544	C₂²	semidirect
32. #11763543	C₂²	semidirect
33. #11763543	C₂²	semidirect
34. #11763542	C₂²	semidirect
35. #11763542	C₂²	semidirect
36. #11763542	C₂²	semidirect
37. #11763541	C₂²	semidirect
38. #11763541	C₂²	semidirect
39. #11763541	C₂²	semidirect
40. #11763533	C₂²	semidirect
41. #11763532	C₂²	semidirect
42. #11763531	C₂²	semidirect
43. #11763531	C₂²	semidirect
44. #11763530	C₂²	semidirect
45. #11763529	C₂²	semidirect
46. #11763528	C₂²	semidirect
47. #11763528	C₂²	semidirect
48. #11763527	C₂²	semidirect
49. #11763526	C₂²	semidirect
50. #11763526	C₂²	semidirect
51. #11763490	C₂²	semidirect
52. #11763489	C₂²	semidirect
53. #11763488	C₂²	semidirect
54. #11763488	C₂²	semidirect
55. #11763487	C₂²	semidirect
56. #11763486	C₂²	semidirect
57. #11763486	C₂²	semidirect
58. #11763485	C₂²	semidirect
59. #11763485	C₂²	semidirect
60. #11763484	C₂²	semidirect
61. #11763484	C₂²	semidirect
62. #11763483	C₂²	semidirect
63. #11763483	C₂²	semidirect
64. #11763482	C₂²	semidirect
65. #11763482	C₂²	semidirect
66. #11763433	C₂²	semidirect
67. #11763432	C₂²	semidirect
68. #11763431	C₂²	semidirect
69. #11763430	C₂²	semidirect
70. #11763429	C₂²	semidirect
71. #11763428	C₂²	semidirect
72. #11763427	C₂²	semidirect
73. #11763426	C₂²	semidirect
74. #11763425	C₂²	semidirect
75. #11763424	C₂²	semidirect
76. #11763423	C₂²	semidirect
77. #11763385	C₂²	semidirect
78. #11763384	C₂²	semidirect
79. #11763383	C₂²	semidirect
80. #11763382	C₂²	semidirect
81. #11763381	C₂²	semidirect
82. #11763380	C₂²	semidirect
83. #11763379	C₂²	semidirect
91. #11763366	C₂²	semidirect
92. #11763365	C₂²	semidirect
93. #11763364	C₂²	semidirect
94. #11763363	C₂²	semidirect
95. #11763362	C₂²	semidirect
96. #11763362	C₂²	semidirect
97. #11763361	C₂²	semidirect
98. C₄⋊Q₈×D₁₇	C₂²	semidirect
99. C₄⋊Q₈×D₁₇	C₂²	semidirect
101. #11763346	C₂²	semidirect
102. #11763345	C₂²	semidirect
103. #11763344	C₂²	semidirect
104. #11763343	C₂²	semidirect
105. #11763342	C₂²	semidirect
106. #11763341	C₂²	semidirect
107. #11763340	C₂²	semidirect
108. #11763339	C₂²	semidirect
109. #11763338	C₂²	semidirect
110. #11763337	C₂²	semidirect
111. #11763336	C₂²	semidirect
112. #126×D₁₇	C₂²	semidirect
113. #126×D₁₇	C₂²	semidirect
114. #125×D₁₇	C₂²	semidirect
115. C₂×#10587633	C₂²	semidirect
116. C₂×#10587561	C₂²	semidirect
117. C₂×#10587622	C₂²	semidirect
118. C₂×#10587571	C₂²	semidirect
123. #124×D₁₇	C₂²	semidirect
124. #124×D₁₇	C₂²	semidirect
125. #124×D₁₇	C₂²	semidirect
126. #124×D₁₇	C₂²	semidirect
127. #124×D₁₇	C₂²	semidirect
129. #123×D₁₇	C₂²	semidirect
130. #123×D₁₇	C₂²	semidirect
132. C₂²⋊Q₈×D₁₇	C₂²	semidirect
133. C₂²⋊Q₈×D₁₇	C₂²	semidirect
136. #11763287	C₂²	semidirect
137. #11763286	C₂²	semidirect
138. #11763286	C₂²	semidirect
139. #11763286	C₂²	semidirect
140. #11763285	C₂²	semidirect
141. #11763285	C₂²	semidirect
142. #11763284	C₂²	semidirect
143. #11763283	C₂²	semidirect
144. #11763283	C₂²	semidirect
145. #11763282	C₂²	semidirect
146. #11763281	C₂²	semidirect
147. #11763281	C₂²	semidirect
148. #41×Dic₁₇	C₂²	semidirect
149. C₄×#63256	C₂²	semidirect
150. C₄×#63252	C₂²	semidirect
151. C₄×#63252	C₂²	semidirect
152. #11763277	C₂²	semidirect
153. #11763277	C₂²	semidirect
154. C₄×#63254	C₂²	semidirect
155. C₄×#63254	C₂²	semidirect
156. C₄×Q₈×D₁₇	C₂²	semidirect
157. C₄×Q₈×D₁₇	C₂²	semidirect
158. C₄×Q₈×D₁₇	C₂²	semidirect
159. C₄×Q₈×D₁₇	C₂²	semidirect
163. C₄×D₄×D₁₇	C₂²	semidirect
164. C₄×D₄×D₁₇	C₂²	semidirect
169. #117×D₁₇	C₂²	semidirect
170. #117×D₁₇	C₂²	semidirect
174. C₂×C₄²×D₁₇	C₂²	semidirect
175. C₁₇×#559	C₂²	semidirect
176. C₁₇×#556	C₂²	semidirect
177. C₁₇×#551	C₂²	semidirect
178. C₁₇×#542	C₂²	semidirect
179. C₁₇×#536	C₂²	semidirect
181. C₁₇×#533	C₂²	semidirect
182. C₁₇×#529	C₂²	semidirect
183. C₂×C₁₇×#124	C₂²	semidirect
184. C₁₇×#519	C₂²	semidirect
185. C₁₇×#518	C₂²	semidirect
186. C₄×#41×C₁₇	C₂²	semidirect
222. C₁₇×C₄⋊Q₈	C₂³	semidirect
223. C₁₇×C₄⋊Q₈	C₂³	semidirect
225. C₁₇×#126	C₂³	semidirect
226. C₁₇×#126	C₂³	semidirect
227. C₁₇×#125	C₂³	semidirect
232. C₁₇×#124	C₂³	semidirect
233. C₁₇×#124	C₂³	semidirect
235. C₁₇×#123	C₂³	semidirect
236. C₁₇×#123	C₂³	semidirect
238. C₁₇×C₂²⋊Q₈	C₂³	semidirect
239. C₁₇×C₂²⋊Q₈	C₂³	semidirect
242. C₄×Q₈×C₁₇	C₂³	semidirect
243. C₄×Q₈×C₁₇	C₂³	semidirect
244. C₄×Q₈×C₁₇	C₂³	semidirect
245. C₄×Q₈×C₁₇	C₂³	semidirect
249. C₄×D₄×C₁₇	C₂³	semidirect
250. C₄×D₄×C₁₇	C₂³	semidirect
255. C₁₇×#117	C₂³	semidirect
256. C₁₇×#117	C₂³	semidirect
260. C₂×C₄²×C₁₇	C₂³	semidirect
268. #10587633	C₂³	semidirect
269. #10587633	C₂³	semidirect
271. #10587632	C₂³	semidirect
272. #10587632	C₂³	semidirect
273. Q₈×Dic₁₇	C₂³	semidirect
274. Q₈×Dic₁₇	C₂³	semidirect
275. Q₈×Dic₁₇	C₂³	semidirect
276. Q₈×Dic₁₇	C₂³	semidirect
277. #10587630	C₂³	semidirect
278. #10587630	C₂³	semidirect
279. #10587630	C₂³	semidirect
291. #10587622	C₂³	semidirect
292. #10587622	C₂³	semidirect
294. #10587621	C₂³	semidirect
295. #10587621	C₂³	semidirect
299. D₄×Dic₁₇	C₂³	semidirect
300. D₄×Dic₁₇	C₂³	semidirect
303. #10587615	C₂³	semidirect
304. #10587615	C₂³	semidirect
309. C₄×C₂²⋊D₁₇	C₂³	semidirect
310. C₄×C₂²⋊D₁₇	C₂³	semidirect
311. C₄×C₂²⋊D₁₇	C₂³	semidirect
319. #10587612	C₂³	semidirect
320. #10587612	C₂³	semidirect
322. #10587610	C₂³	semidirect
323. #10587610	C₂³	semidirect
326. C₂×C₄×Dic₁₇	C₂³	semidirect
327. C₂×C₄×Dic₁₇	C₂³	semidirect
328. #10587584	C₂³	semidirect
329. #10587584	C₂³	semidirect
330. #10587584	C₂³	semidirect
331. #10587584	C₂³	semidirect
332. #10587584	C₂³	semidirect
333. #10587584	C₂³	semidirect
335. #10587583	C₂³	semidirect
336. #10587583	C₂³	semidirect
339. #10587582	C₂³	semidirect
340. #10587582	C₂³	semidirect
341. #10587582	C₂³	semidirect
344. #10587580	C₂³	semidirect
345. #10587580	C₂³	semidirect
346. #10587580	C₂³	semidirect
347. #10587580	C₂³	semidirect
351. #10587579	C₂³	semidirect
352. #10587579	C₂³	semidirect
357. #10587578	C₂³	semidirect
358. #10587578	C₂³	semidirect
359. #10587578	C₂³	semidirect
369. #10587576	C₂³	semidirect
370. #10587576	C₂³	semidirect
371. #10587575	C₂³	semidirect
372. #10587575	C₂³	semidirect
373. #10587574	C₂³	semidirect
374. #10587574	C₂³	semidirect
375. #10587574	C₂³	semidirect
376. #10587574	C₂³	semidirect
377. #10587573	C₂³	semidirect
378. #10587573	C₂³	semidirect
379. #10587573	C₂³	semidirect
380. #10587573	C₂³	semidirect
381. #10587573	C₂³	semidirect
382. #10587573	C₂³	semidirect
383. #10587573	C₂³	semidirect
384. #10587573	C₂³	semidirect
385. #10587573	C₂³	semidirect
387. #10587572	C₂³	semidirect
388. #10587572	C₂³	semidirect
394. #10587571	C₂³	semidirect
395. #10587571	C₂³	semidirect
396. #10587571	C₂³	semidirect
397. #10587571	C₂³	semidirect
398. #10587571	C₂³	semidirect
401. #10587569	C₂³	semidirect
402. #10587569	C₂³	semidirect
403. #10587569	C₂³	semidirect
404. #10587569	C₂³	semidirect
411. #10587567	C₂³	semidirect
412. #10587567	C₂³	semidirect
413. #10587567	C₂³	semidirect
428. #10587565	C₂³	semidirect
429. #10587565	C₂³	semidirect
430. #10587565	C₂³	semidirect
431. #10587565	C₂³	semidirect
432. #10587565	C₂³	semidirect
433. #10587565	C₂³	semidirect
436. #10587564	C₂³	semidirect
437. #10587564	C₂³	semidirect
438. #10587564	C₂³	semidirect
444. #10587563	C₂³	semidirect
445. #10587563	C₂³	semidirect
446. #10587563	C₂³	semidirect
447. #10587562	C₂³	semidirect
448. #10587562	C₂³	semidirect
453. #10587561	C₂³	semidirect
454. #10587561	C₂³	semidirect
459. C₄×D₆₈	C₂³	semidirect
460. C₄×D₆₈	C₂³	semidirect
465. #10587558	C₂³	semidirect
466. #10587558	C₂³	semidirect
467. #10587558	C₂³	semidirect
468. #10587558	C₂³	semidirect
480. C₄²×D₁₇	C₂³	semidirect
481. C₄²×D₁₇	C₂³	semidirect
482. C₄²×D₁₇	C₂³	semidirect
483. #10587556	C₂³	semidirect
484. #10587555	C₂³	semidirect
485. #10587555	C₂³	semidirect
486. C₄×Dic₃₄	C₂³	semidirect
487. C₄×Dic₃₄	C₂³	semidirect
488. C₄×Dic₃₄	C₂³	semidirect
489. C₄×Dic₃₄	C₂³	semidirect
490. C₄×Dic₃₄	C₂³	semidirect
491. C₄×Dic₃₄	C₂³	semidirect
492. C₄×Dic₃₄	C₂³	semidirect
493. C₄×Dic₃₄	C₂³	semidirect
494. C₄×Dic₃₄	C₂³	semidirect
802. #3510	D₁₇	direct (N × H)
868. #559	C₂×D₁₇	semidirect
880. #556	C₂×D₁₇	semidirect
896. #551	C₂×D₁₇	semidirect
908. #542	C₂×D₁₇	semidirect
916. #536	C₂×D₁₇	semidirect
932. #533	C₂×D₁₇	semidirect
947. #529	C₂×D₁₇	semidirect
964. C₂×#124	C₂×D₁₇	semidirect
979. #519	C₂×D₁₇	semidirect
986. #518	C₂×D₁₇	semidirect
995. C₄×#41	C₂×D₁₇	semidirect
1023. D₁₇	#3510	direct (N × H)
1068. C₄⋊Q₈	C₂²×D₁₇	semidirect
1069. C₄⋊Q₈	C₂²×D₁₇	semidirect
1089. #126	C₂²×D₁₇	semidirect
1090. #126	C₂²×D₁₇	semidirect
1096. #125	C₂²×D₁₇	semidirect
1129. #124	C₂²×D₁₇	semidirect
1130. #124	C₂²×D₁₇	semidirect
1151. #123	C₂²×D₁₇	semidirect
1152. #123	C₂²×D₁₇	semidirect
1173. C₂²⋊Q₈	C₂²×D₁₇	semidirect
1174. C₂²⋊Q₈	C₂²×D₁₇	semidirect
1209. C₄×Q₈	C₂²×D₁₇	semidirect
1210. C₄×Q₈	C₂²×D₁₇	semidirect
1211. C₄×Q₈	C₂²×D₁₇	semidirect
1212. C₄×Q₈	C₂²×D₁₇	semidirect
1245. C₄×D₄	C₂²×D₁₇	semidirect
1246. C₄×D₄	C₂²×D₁₇	semidirect
1280. #117	C₂²×D₁₇	semidirect
1281. #117	C₂²×D₁₇	semidirect
1331. C₂×C₄²	C₂²×D₁₇	semidirect
1332. C₁₇	C₂×#3510	semidirect

Maximal subgroups

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

subgroup	index
#14542683	2
#14542682	2
#14542681	2
#14542680	2
#14542679	2
#14542678	2
#14542677	2
#14542676	2
#14542675	2
#14542674	2
#14542673	2
#14542672	2
D₁₇×#559	2
D₁₇×#556	2
D₁₇×#551	2
D₁₇×#542	2
D₁₇×#536	2
D₁₇×#535	2
D₁₇×#533	2
D₁₇×#529	2
C₂×#124×D₁₇	2
D₁₇×#519	2
D₁₇×#518	2
C₄×#41×D₁₇	2
C₁₇×#3510	2
C₂×#3510	17

Subgroups — D17×#3510 #17942806

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₇×#3510 #17942806