Subgroups — D₁₇×#3543 #17941907

Order 4352.

8814 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14543118	C₂	1	1	yes	maximal, characteristic, complemented
2	#14543117	C₂	1	1	yes	maximal, characteristic, complemented
3	#14543116	C₂	1	4	yes	maximal, complemented
4	#14543115	C₂	1	1	yes	maximal, characteristic, complemented
5	#14543114	C₂	1	2	yes	maximal, complemented
6	#14543113	C₂	1	4	yes	maximal, complemented
7	#14543112	C₂	1	4	yes	maximal, complemented
8	#14543111	C₂	1	4	yes	maximal, complemented
9	#14543110	C₂	1	4	yes	maximal, complemented
10	#14543109	C₂	1	4	yes	maximal, complemented
11	#14543108	C₂	1	2	yes	maximal, complemented
12	D₁₇×#560	C₂	1	4	yes	maximal, complemented
13	D₁₇×#559	C₂	1	1	yes	maximal, characteristic, complemented
14	D₁₇×#550	C₂	1	2	yes	maximal, complemented
15	D₁₇×#546	C₂	1	4	yes	maximal, complemented
16	D₄²×D₁₇	C₂	1	4	yes	maximal, complemented
17	D₄²×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₇×#540	C₂	1	4	yes	maximal, complemented
19	D₁₇×#535	C₂	1	4	yes	maximal, complemented
20	D₁₇×#534	C₂	1	4	yes	maximal, complemented
21	C₂×#127×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₇×#529	C₂	1	2	yes	maximal, complemented
23	C₁₇×#3543	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₁₇	C₂²	1	4	yes	complemented
25	C₂²×D₄×D₁₇	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₁₇	C₂²	1	4	yes	complemented
27	C₂²×D₄×D₁₇	C₂²	1	4	yes	complemented
28	C₂²×D₄×D₁₇	C₂²	1	4	yes	complemented
29	#11763550	C₂²	1	8	yes	complemented
30	#11763549	C₂²	1	4	yes	complemented
31	#11763549	C₂²	1	8	yes	complemented
32	#11763548	C₂²	1	8	yes	complemented
33	#11763548	C₂²	1	4	yes	complemented
34	#11763547	C₂²	1	8	yes	complemented
35	#11763547	C₂²	1	8	yes	complemented
36	#11763547	C₂²	1	8	yes	complemented
37	#11763546	C₂²	1	4	yes	complemented
38	#11763545	C₂²	1	1	yes	characteristic, complemented
39	#11763544	C₂²	1	2	yes	complemented
40	#11763543	C₂²	1	4	yes	complemented
41	#11763542	C₂²	1	4	yes	complemented
42	#11763541	C₂²	1	4	yes	complemented
43	#11763481	C₂²	1	2	yes	complemented
44	#11763480	C₂²	1	4	yes	complemented
45	#11763480	C₂²	1	2	yes	complemented
46	#11763479	C₂²	1	2	yes	complemented
47	#11763479	C₂²	1	4	yes	complemented
48	#11763478	C₂²	1	4	yes	complemented
49	#11763477	C₂²	1	4	yes	complemented
50	#11763477	C₂²	1	8	yes	complemented
51	#11763456	C₂²	1	4	yes	complemented
52	#11763455	C₂²	1	4	yes	complemented
53	#11763454	C₂²	1	4	yes	complemented
54	#11763453	C₂²	1	4	yes	complemented
55	#11763452	C₂²	1	4	yes	complemented
56	#11763451	C₂²	1	8	yes	complemented
57	#11763450	C₂²	1	4	yes	complemented
58	#11763449	C₂²	1	8	yes	complemented
59	#11763448	C₂²	1	8	yes	complemented
60	#11763447	C₂²	1	4	yes	complemented
61	#11763446	C₂²	1	8	yes	complemented
62	D₄×D₆₈	C₂²	1	2	yes	complemented
63	D₄×D₆₈	C₂²	1	4	yes	complemented
64	D₄×D₆₈	C₂²	1	4	yes	complemented
65	#11763444	C₂²	1	1	yes	characteristic, complemented
66	#11763444	C₂²	1	4	yes	complemented
67	#11763443	C₂²	1	8	yes	complemented
68	#11763443	C₂²	1	4	yes	complemented
69	#11763443	C₂²	1	4	yes	complemented
70	#11763443	C₂²	1	4	yes	complemented
71	D₄×C₂²⋊D₁₇	C₂²	1	4	yes	complemented
72	D₄×C₂²⋊D₁₇	C₂²	1	4	yes	complemented
73	D₄×C₂²⋊D₁₇	C₂²	1	8	yes	complemented
74	D₄×C₂²⋊D₁₇	C₂²	1	4	yes	complemented
75	#11763441	C₂²	1	8	yes	complemented
76	#11763441	C₂²	1	8	yes	complemented
77	#11763441	C₂²	1	4	yes	complemented
78	#11763415	C₂²	1	4	yes	complemented
79	#11763414	C₂²	1	4	yes	complemented
80	#11763413	C₂²	1	4	yes	complemented
81	#11763412	C₂²	1	4	yes	complemented
82	#11763412	C₂²	1	4	yes	complemented
83	#11763411	C₂²	1	8	yes	complemented
84	#11763411	C₂²	1	8	yes	complemented
85	#11763410	C₂²	1	4	yes	complemented
86	#11763410	C₂²	1	4	yes	complemented
87	#11763409	C₂²	1	8	yes	complemented
88	#11763409	C₂²	1	8	yes	complemented
89	#11763378	C₂²	1	4	yes	complemented
90	#11763377	C₂²	1	4	yes	complemented
91	#11763377	C₂²	1	4	yes	complemented
92	#11763376	C₂²	1	4	yes	complemented
93	#11763375	C₂²	1	8	yes	complemented
94	#11763375	C₂²	1	8	yes	complemented
95	#11763374	C₂²	1	8	yes	complemented
96	#11763374	C₂²	1	8	yes	complemented
97	#11763373	C₂²	1	4	yes	complemented
98	#11763372	C₂²	1	4	yes	complemented
99	#11763372	C₂²	1	4	yes	complemented
100	#11763371	C₂²	1	4	yes	complemented
101	#11763370	C₂²	1	8	yes	complemented
102	#11763370	C₂²	1	4	yes	complemented
103	#11763370	C₂²	1	4	yes	complemented
104	#11763369	C₂²	1	8	yes	complemented
105	#11763369	C₂²	1	4	yes	complemented
106	#11763369	C₂²	1	4	yes	complemented
107	#11763368	C₂²	1	4	yes	complemented
108	#11763368	C₂²	1	4	yes	complemented
109	#11763367	C₂²	1	8	yes	complemented
110	#11763367	C₂²	1	8	yes	complemented
111	C₂×#10587560	C₂²	1	1	yes	characteristic, complemented
112	C₂×#10587626	C₂²	1	4	yes	complemented
113	C₂×#10587626	C₂²	1	2	yes	complemented
114	#127×D₁₇	C₂²	1	1	yes	characteristic
115	#127×D₁₇	C₂²	1	1	yes	characteristic, complemented
116	#127×D₁₇	C₂²	1	4	yes	complemented
117	#127×D₁₇	C₂²	1	4	yes	complemented
118	#127×D₁₇	C₂²	1	2	yes	complemented
119	#127×D₁₇	C₂²	1	1	yes	characteristic, complemented
120	#127×D₁₇	C₂²	1	1	yes	characteristic, complemented
121	#127×D₁₇	C₂²	1	4	yes	complemented
122	#127×D₁₇	C₂²	1	2	yes	complemented
123	#11763346	C₂²	1	2	yes	complemented
124	#11763345	C₂²	1	2	yes	complemented
125	#11763344	C₂²	1	2	yes	complemented
126	#11763343	C₂²	1	2	yes	complemented
127	#11763342	C₂²	1	4	yes	complemented
128	#11763341	C₂²	1	2	yes	complemented
129	#11763340	C₂²	1	2	yes	complemented
130	#11763339	C₂²	1	4	yes	complemented
131	#11763338	C₂²	1	2	yes	complemented
132	#11763337	C₂²	1	4	yes	complemented
133	#11763336	C₂²	1	4	yes	complemented
134	#126×D₁₇	C₂²	1	4	yes	complemented
135	#125×D₁₇	C₂²	1	2	yes	complemented
136	#124×D₁₇	C₂²	1	2	yes	complemented
137	#124×D₁₇	C₂²	1	4	yes	complemented
138	#123×D₁₇	C₂²	1	4	yes	complemented
139	#123×D₁₇	C₂²	1	4	yes	complemented
140	#123×D₁₇	C₂²	1	4	yes	complemented
141	#123×D₁₇	C₂²	1	8	yes	complemented
142	C₂²⋊Q₈×D₁₇	C₂²	1	2	yes	complemented
143	#121×D₁₇	C₂²	1	2	yes	—
144	#121×D₁₇	C₂²	1	8	yes	complemented
145	#121×D₁₇	C₂²	1	8	yes	complemented
146	#121×D₁₇	C₂²	1	8	yes	complemented
147	#121×D₁₇	C₂²	1	8	yes	complemented
148	#121×D₁₇	C₂²	1	4	yes	complemented
149	#121×D₁₇	C₂²	1	4	yes	complemented
150	#120×D₁₇	C₂²	1	4	yes	complemented
151	#120×D₁₇	C₂²	1	4	yes	complemented
152	#120×D₁₇	C₂²	1	8	yes	complemented
153	#120×D₁₇	C₂²	1	8	yes	complemented
154	C₄×Q₈×D₁₇	C₂²	1	2	yes	complemented
155	C₄×D₄×D₁₇	C₂²	1	4	yes	complemented
156	C₄×D₄×D₁₇	C₂²	1	4	yes	complemented
157	C₄×D₄×D₁₇	C₂²	1	4	yes	complemented
158	C₄×D₄×D₁₇	C₂²	1	2	yes	complemented
159	#117×D₁₇	C₂²	1	4	yes	complemented
160	C₂×C₂²⋊C₄×D₁₇	C₂²	1	4	yes	complemented
161	C₂×C₄²×D₁₇	C₂²	1	1	yes	characteristic, complemented
162	C₁₇×#560	C₂²	1	4	yes	complemented
163	C₁₇×#559	C₂²	1	1	yes	characteristic, complemented
164	C₁₇×#550	C₂²	1	2	yes	complemented
165	C₁₇×#546	C₂²	1	4	yes	complemented
166	D₄²×C₁₇	C₂²	1	1	yes	characteristic, complemented
167	D₄²×C₁₇	C₂²	1	4	yes	complemented
168	C₁₇×#540	C₂²	1	4	yes	complemented
169	C₁₇×#535	C₂²	1	4	yes	complemented
170	C₁₇×#534	C₂²	1	4	yes	complemented
171	C₂×C₁₇×#127	C₂²	1	1	yes	characteristic, complemented
172	C₁₇×#529	C₂²	1	2	yes	complemented
173	C₂⁴×D₁₇	C₂³	1	4	yes	—
174	C₂⁴×D₁₇	C₂³	1	4	yes	—
175	C₂×#41×C₁₇	C₂³	1	4	yes	complemented
176	C₂²×D₄×C₁₇	C₂³	1	2	yes	complemented
177	C₂²×D₄×C₁₇	C₂³	1	4	yes	complemented
178	C₂²×D₄×C₁₇	C₂³	1	4	yes	complemented
179	C₂²×D₄×C₁₇	C₂³	1	4	yes	complemented
180	C₂²×C₂²⋊D₁₇	C₂³	1	4	yes	complemented
181	C₂²×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
182	C₂²×C₂²⋊D₁₇	C₂³	1	4	yes	complemented
183	C₂²×C₂²⋊D₁₇	C₂³	1	4	yes	complemented
184	C₂²×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
185	#41×D₁₇	—	4	16	no	—
186	C₂×#63256	C₂³	1	4	yes	complemented
187	C₂×Q₈×D₁₇	C₂³	1	2	yes	—
188	C₂×#63254	C₂³	1	4	yes	complemented
189	C₂×#63254	C₂³	1	8	yes	complemented
190	C₂×D₄×D₁₇	—	4	16	no	—
191	C₂×D₄×D₁₇	—	4	16	no	—
192	C₂×D₄×D₁₇	—	4	8	no	—
193	C₂×D₄×D₁₇	—	4	16	no	—
194	C₂×D₄×D₁₇	C₂³	1	4	yes	—
195	C₂×D₄×D₁₇	C₂³	1	2	yes	—
196	C₂×D₄×D₁₇	C₂³	1	4	yes	—
197	C₂×D₄×D₁₇	C₂³	1	4	yes	—
198	C₂×D₄×D₁₇	C₂³	1	8	yes	—
199	C₂×D₄×D₁₇	C₂³	1	8	yes	—
200	C₂×D₄×D₁₇	C₂³	1	2	yes	—
201	C₂×D₄×D₁₇	C₂³	1	8	yes	—
202	C₂×D₄×D₁₇	C₂³	1	8	yes	—
203	C₂×D₄×D₁₇	C₂³	1	4	yes	—
204	C₂×D₄×D₁₇	C₂³	1	2	yes	—
205	C₂×D₄×D₁₇	C₂³	1	4	yes	complemented
206	C₂×D₄×D₁₇	C₂³	1	2	yes	complemented
207	C₂×D₄×D₁₇	C₂³	1	4	yes	complemented
208	C₂×D₄×D₁₇	C₂³	1	2	yes	complemented
209	C₂×D₄×D₁₇	C₂³	1	8	yes	complemented
210	C₂×D₄×D₁₇	C₂³	1	4	yes	complemented
211	C₂×D₄×D₁₇	C₂³	1	8	yes	complemented
212	C₂×D₄×D₁₇	C₂³	1	8	yes	complemented
213	C₂×D₄×D₁₇	C₂³	1	4	yes	complemented
214	C₂×D₄×D₁₇	C₂³	1	4	yes	complemented
215	C₂×D₄×D₁₇	C₂³	1	8	yes	complemented
216	C₂×#63252	C₂³	1	4	yes	complemented
217	C₂×#63252	C₂³	1	8	yes	complemented
218	C₂²×D₆₈	C₂³	1	2	yes	complemented
219	C₂²×D₆₈	C₂³	1	4	yes	complemented
220	C₂²×D₆₈	C₂³	1	4	yes	complemented
221	C₂²×D₆₈	C₂³	1	4	yes	complemented
222	C₂²×C₄×D₁₇	C₂³	1	2	yes	—
223	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
224	C₂²×C₄×D₁₇	C₂³	1	4	yes	—
225	C₂²×C₄×D₁₇	C₂³	1	8	yes	—
226	C₂²×C₄×D₁₇	C₂³	1	4	yes	—
227	C₁₇×#127	C₂³	1	1	yes	characteristic
228	C₁₇×#127	C₂³	1	1	yes	characteristic, complemented
229	C₁₇×#127	C₂³	1	4	yes	complemented
230	C₁₇×#127	C₂³	1	4	yes	complemented
231	C₁₇×#127	C₂³	1	2	yes	complemented
232	C₁₇×#126	C₂³	1	4	yes	complemented
233	C₁₇×#125	C₂³	1	2	yes	complemented
234	C₁₇×#124	C₂³	1	2	yes	complemented
235	C₁₇×#124	C₂³	1	4	yes	complemented
236	C₁₇×#123	C₂³	1	4	yes	complemented
237	C₁₇×#123	C₂³	1	4	yes	complemented
238	C₁₇×#123	C₂³	1	4	yes	complemented
239	C₁₇×#123	C₂³	1	8	yes	complemented
240	C₁₇×C₂²⋊Q₈	C₂³	1	2	yes	complemented
241	C₁₇×#121	C₂³	1	2	yes	—
242	C₁₇×#121	C₂³	1	4	yes	complemented
243	C₁₇×#121	C₂³	1	8	yes	complemented
244	C₁₇×#121	C₂³	1	4	yes	complemented
245	C₁₇×#121	C₂³	1	8	yes	complemented
246	C₁₇×#121	C₂³	1	8	yes	complemented
247	C₁₇×#121	C₂³	1	8	yes	complemented
248	C₁₇×#120	C₂³	1	4	yes	complemented
249	C₁₇×#120	C₂³	1	8	yes	complemented
250	C₁₇×#120	C₂³	1	4	yes	complemented
251	C₁₇×#120	C₂³	1	8	yes	complemented
252	C₄×Q₈×C₁₇	C₂³	1	2	yes	complemented
253	C₄×D₄×C₁₇	C₂³	1	2	yes	complemented
254	C₄×D₄×C₁₇	C₂³	1	4	yes	complemented
255	C₄×D₄×C₁₇	C₂³	1	4	yes	complemented
256	C₄×D₄×C₁₇	C₂³	1	4	yes	complemented
257	C₁₇×#117	C₂³	1	4	yes	complemented
258	C₂×C₂²⋊C₄×C₁₇	C₂³	1	4	yes	complemented
259	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic, complemented
260	#10587639	C₂³	1	4	yes	complemented
261	#10587639	C₂³	1	8	yes	complemented
262	#10587639	C₂³	1	4	yes	complemented
263	#10587639	C₂³	1	8	yes	complemented
264	C₂×C₂²⋊Dic₁₇	C₂³	1	4	yes	complemented
265	#10587633	C₂³	1	4	yes	complemented
266	#10587633	C₂³	1	2	yes	complemented
267	#10587632	C₂³	1	2	yes	complemented
268	Q₈×Dic₁₇	C₂³	1	2	yes	complemented
269	#10587626	C₂³	1	4	yes	—
270	#10587626	C₂³	1	2	yes	—
271	#10587626	C₂³	1	2	yes	complemented
272	#10587626	C₂³	1	8	yes	complemented
273	#10587626	C₂³	1	4	yes	complemented
274	#10587626	C₂³	1	8	yes	complemented
275	#10587626	C₂³	1	4	yes	complemented
276	#10587626	C₂³	1	4	yes	complemented
277	#10587626	C₂³	1	2	yes	complemented
278	#10587626	C₂³	1	8	yes	complemented
279	#10587626	C₂³	1	2	yes	complemented
280	#10587626	C₂³	1	4	yes	complemented
281	#10587626	C₂³	1	8	yes	complemented
282	#10587626	C₂³	1	8	yes	complemented
283	#10587626	C₂³	1	4	yes	complemented
284	#10587625	C₂³	1	4	yes	—
285	#10587625	C₂³	1	8	yes	complemented
286	#10587625	C₂³	1	8	yes	complemented
287	#10587625	C₂³	1	8	yes	complemented
288	#10587625	C₂³	1	8	yes	complemented
289	#10587625	C₂³	1	8	yes	complemented
290	#10587625	C₂³	1	8	yes	complemented
291	#10587625	C₂³	1	8	yes	complemented
292	#10587625	C₂³	1	8	yes	complemented
293	#10587625	C₂³	1	8	yes	complemented
294	#10587625	C₂³	1	8	yes	complemented
295	#10587624	C₂³	1	2	yes	—
296	#10587624	C₂³	1	8	yes	complemented
297	#10587624	C₂³	1	8	yes	complemented
298	#10587624	C₂³	1	4	yes	complemented
299	#10587624	C₂³	1	8	yes	complemented
300	#10587624	C₂³	1	8	yes	complemented
301	#10587624	C₂³	1	4	yes	complemented
302	#10587623	C₂³	1	8	yes	complemented
303	#10587623	C₂³	1	4	yes	complemented
304	#10587623	C₂³	1	8	yes	complemented
305	#10587623	C₂³	1	8	yes	complemented
306	#10587623	C₂³	1	8	yes	complemented
307	#10587623	C₂³	1	8	yes	complemented
308	#10587623	C₂³	1	8	yes	complemented
309	#10587623	C₂³	1	8	yes	complemented
310	#10587623	C₂³	1	4	yes	complemented
311	#10587623	C₂³	1	8	yes	complemented
312	#10587622	C₂³	1	4	yes	complemented
313	#10587622	C₂³	1	2	yes	complemented
314	#10587621	C₂³	1	4	yes	complemented
315	#10587621	C₂³	1	8	yes	complemented
316	#10587621	C₂³	1	4	yes	complemented
317	#10587621	C₂³	1	4	yes	complemented
318	D₄×Dic₁₇	C₂³	1	2	yes	complemented
319	D₄×Dic₁₇	C₂³	1	4	yes	complemented
320	D₄×Dic₁₇	C₂³	1	4	yes	complemented
321	D₄×Dic₁₇	C₂³	1	4	yes	complemented
322	#10587616	C₂³	1	2	yes	—
323	#10587616	C₂³	1	8	yes	complemented
324	#10587616	C₂³	1	4	yes	complemented
325	#10587616	C₂³	1	8	yes	complemented
326	#10587616	C₂³	1	8	yes	complemented
327	#10587616	C₂³	1	8	yes	complemented
328	#10587616	C₂³	1	4	yes	complemented
329	#10587615	C₂³	1	4	yes	complemented
330	#10587615	C₂³	1	8	yes	complemented
331	#10587615	C₂³	1	4	yes	complemented
332	#10587615	C₂³	1	4	yes	complemented
333	C₄×C₂²⋊D₁₇	C₂³	1	4	yes	complemented
334	C₄×C₂²⋊D₁₇	C₂³	1	4	yes	complemented
335	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
336	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
337	C₄×C₂²⋊D₁₇	C₂³	1	4	yes	complemented
338	C₂×#63227	C₂³	1	8	yes	complemented
339	#10587612	C₂³	1	4	yes	complemented
340	#10587610	C₂³	1	2	yes	complemented
341	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
342	C₂×C₄×Dic₁₇	C₂³	1	2	yes	complemented
343	#10587584	C₂³	1	4	yes	complemented
344	#10587584	C₂³	1	4	yes	complemented
345	#10587584	C₂³	1	4	yes	complemented
346	#10587583	C₂³	1	2	yes	complemented
347	#10587582	C₂³	1	4	yes	complemented
348	#10587581	C₂³	1	2	yes	—
349	#10587581	C₂³	1	8	yes	complemented
350	#10587581	C₂³	1	4	yes	complemented
351	#10587581	C₂³	1	8	yes	complemented
352	#10587581	C₂³	1	8	yes	complemented
353	#10587581	C₂³	1	8	yes	complemented
354	#10587581	C₂³	1	4	yes	complemented
355	#10587580	C₂³	1	8	yes	complemented
356	#10587580	C₂³	1	8	yes	complemented
357	#10587580	C₂³	1	8	yes	complemented
358	#10587580	C₂³	1	4	yes	complemented
359	#10587580	C₂³	1	4	yes	complemented
360	#10587580	C₂³	1	8	yes	complemented
361	#10587579	C₂³	1	4	yes	complemented
362	#10587579	C₂³	1	2	yes	complemented
363	#10587579	C₂³	1	4	yes	complemented
364	#10587579	C₂³	1	4	yes	complemented
365	#10587578	C₂³	1	4	yes	complemented
366	#10587578	C₂³	1	4	yes	complemented
367	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
368	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
369	C₄⋊C₄×D₁₇	C₂³	1	2	yes	—
370	C₄⋊C₄×D₁₇	C₂³	1	2	yes	—
371	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
372	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
373	#10587576	C₂³	1	2	yes	complemented
374	#10587576	C₂³	1	2	yes	complemented
375	#10587575	C₂³	1	4	yes	complemented
376	#10587575	C₂³	1	4	yes	complemented
377	#10587573	C₂³	1	2	yes	complemented
378	#10587573	C₂³	1	4	yes	complemented
379	#10587572	C₂³	1	4	yes	complemented
380	#10587572	C₂³	1	8	yes	complemented
381	#10587572	C₂³	1	4	yes	complemented
382	#10587572	C₂³	1	4	yes	complemented
383	#10587571	C₂³	1	8	yes	complemented
384	#10587571	C₂³	1	8	yes	complemented
385	#10587571	C₂³	1	4	yes	complemented
386	#10587571	C₂³	1	4	yes	complemented
387	#10587570	C₂³	1	4	yes	—
388	#10587570	C₂³	1	8	yes	complemented
389	#10587570	C₂³	1	8	yes	complemented
390	#10587570	C₂³	1	8	yes	complemented
391	#10587570	C₂³	1	8	yes	complemented
392	#10587570	C₂³	1	8	yes	complemented
393	#10587570	C₂³	1	8	yes	complemented
394	#10587570	C₂³	1	8	yes	complemented
395	#10587570	C₂³	1	8	yes	complemented
396	#10587570	C₂³	1	8	yes	complemented
397	#10587570	C₂³	1	8	yes	complemented
398	#10587569	C₂³	1	8	yes	complemented
399	#10587569	C₂³	1	8	yes	complemented
400	#10587569	C₂³	1	8	yes	complemented
401	#10587569	C₂³	1	4	yes	complemented
402	#10587569	C₂³	1	4	yes	complemented
403	#10587569	C₂³	1	8	yes	complemented
404	#10587568	C₂³	1	8	yes	complemented
405	#10587568	C₂³	1	8	yes	complemented
406	#10587568	C₂³	1	8	yes	complemented
407	#10587568	C₂³	1	4	yes	complemented
408	#10587568	C₂³	1	8	yes	complemented
409	#10587568	C₂³	1	8	yes	complemented
410	#10587568	C₂³	1	8	yes	complemented
411	#10587568	C₂³	1	8	yes	complemented
412	#10587568	C₂³	1	4	yes	complemented
413	#10587568	C₂³	1	8	yes	complemented
414	#10587567	C₂³	1	4	yes	complemented
415	#10587567	C₂³	1	8	yes	complemented
416	#10587567	C₂³	1	8	yes	complemented
417	#10587567	C₂³	1	4	yes	complemented
418	#10587567	C₂³	1	4	yes	complemented
419	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
420	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
421	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
422	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
423	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
424	C₂²⋊C₄×D₁₇	C₂³	1	4	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	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	complemented
429	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	complemented
430	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	complemented
431	#10587565	C₂³	1	4	yes	complemented
432	#10587565	C₂³	1	4	yes	complemented
433	#10587565	C₂³	1	4	yes	complemented
434	#10587564	C₂³	1	4	yes	complemented
435	#10587563	C₂³	1	4	yes	complemented
436	#10587563	C₂³	1	4	yes	complemented
437	#10587562	C₂³	1	4	yes	complemented
438	#10587561	C₂³	1	4	yes	complemented
439	#10587561	C₂³	1	2	yes	complemented
440	#10587560	C₂³	1	1	yes	characteristic
441	#10587560	C₂³	1	1	yes	characteristic, complemented
442	#10587560	C₂³	1	4	yes	complemented
443	#10587560	C₂³	1	2	yes	complemented
444	#10587560	C₂³	1	4	yes	complemented
445	C₄×D₆₈	C₂³	1	2	yes	complemented
446	C₄×D₆₈	C₂³	1	4	yes	complemented
447	C₄×D₆₈	C₂³	1	4	yes	complemented
448	C₄×D₆₈	C₂³	1	4	yes	complemented
449	#10587558	C₂³	1	4	yes	complemented
450	#10587558	C₂³	1	4	yes	complemented
451	C₄²×D₁₇	C₂³	1	2	yes	—
452	C₄²×D₁₇	C₂³	1	1	yes	characteristic
453	C₄²×D₁₇	C₂³	1	1	yes	characteristic
454	C₄²×D₁₇	C₂³	1	4	yes	—
455	C₄²×D₁₇	C₂³	1	2	yes	complemented
456	C₄²×D₁₇	C₂³	1	1	yes	characteristic, complemented
457	C₄²×D₁₇	C₂³	1	1	yes	characteristic, complemented
458	#10587556	C₂³	1	2	yes	complemented
459	C₄×Dic₃₄	C₂³	1	4	yes	complemented
460	C₄×Dic₃₄	C₂³	1	2	yes	complemented
461	C₂⁴×C₁₇	C₂⁴	1	4	yes	—
462	C₂⁴×C₁₇	C₂⁴	1	4	yes	—
463	C₂³×D₁₇	—	2	16	no	—
464	C₂³×D₁₇	—	4	16	no	—
465	C₂³×D₁₇	—	4	16	no	—
466	C₂³×D₁₇	—	4	8	no	—
467	C₂³×D₁₇	C₂⁴	1	4	yes	—
468	C₂³×D₁₇	C₂⁴	1	4	yes	—
469	C₂³×D₁₇	C₂⁴	1	4	yes	—
470	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
471	C₂³×D₁₇	C₂⁴	1	4	yes	—
472	C₂³×D₁₇	C₂⁴	1	4	yes	—
473	C₂³×D₁₇	C₂⁴	1	4	yes	—
474	C₂³×D₁₇	C₂⁴	1	4	yes	—
475	C₂³×D₁₇	C₂⁴	1	8	yes	—
476	#41×C₁₇	—	4	8	no	—
477	C₂×Q₈×C₁₇	C₂⁴	1	2	yes	—
478	C₂×D₄×C₁₇	—	4	8	no	—
479	C₂×D₄×C₁₇	—	4	8	no	—
480	C₂×D₄×C₁₇	—	4	4	no	—
481	C₂×D₄×C₁₇	—	4	8	no	—
482	C₂×D₄×C₁₇	C₂⁴	1	4	yes	—
483	C₂×D₄×C₁₇	C₂⁴	1	4	yes	—
484	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
485	C₂×D₄×C₁₇	C₂⁴	1	4	yes	—
486	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
487	C₂×D₄×C₁₇	C₂⁴	1	4	yes	—
488	C₂×D₄×C₁₇	C₂⁴	1	8	yes	—
489	C₂×D₄×C₁₇	C₂⁴	1	2	yes	—
490	C₂×D₄×C₁₇	C₂⁴	1	8	yes	—
491	C₂×D₄×C₁₇	C₂⁴	1	8	yes	—
492	C₂×D₄×C₁₇	C₂⁴	1	8	yes	—
493	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
494	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₁₇	C₂⁴	1	4	yes	—
496	C₂²×C₄×C₁₇	C₂⁴	1	4	yes	—
497	C₂²×C₄×C₁₇	C₂⁴	1	8	yes	—
498	C₂×C₂²⋊D₁₇	—	4	16	no	—
499	C₂×C₂²⋊D₁₇	—	4	16	no	—
500	C₂×C₂²⋊D₁₇	—	4	8	no	—
501	C₂×C₂²⋊D₁₇	—	4	8	no	—
502	C₂×C₂²⋊D₁₇	—	4	8	no	—
503	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
504	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
505	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
506	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
507	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
508	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
509	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
510	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
511	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
512	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
513	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
514	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
515	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
516	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
517	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
518	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
519	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
520	C₂²×Dic₁₇	C₂⁴	1	4	yes	—
521	C₂²×Dic₁₇	C₂⁴	1	2	yes	—
522	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
523	C₂²×Dic₁₇	C₂⁴	1	8	yes	—
524	C₂²×Dic₁₇	C₂⁴	1	4	yes	—
525	#63256	—	4	8	no	—
526	Q₈×D₁₇	—	2	8	no	—
527	#63254	—	4	8	no	—
528	#63254	—	4	16	no	—
529	D₄×D₁₇	—	2	16	no	—
530	D₄×D₁₇	—	2	8	no	—
531	D₄×D₁₇	—	2	16	no	—
532	D₄×D₁₇	—	2	16	no	—
533	D₄×D₁₇	—	4	8	no	—
534	D₄×D₁₇	—	4	8	no	—
535	D₄×D₁₇	—	4	8	no	—
536	D₄×D₁₇	—	4	8	no	—
537	D₄×D₁₇	—	4	16	no	—
538	D₄×D₁₇	—	4	16	no	—
539	D₄×D₁₇	—	4	16	no	—
540	D₄×D₁₇	—	4	16	no	—
541	D₄×D₁₇	—	4	4	no	—
542	D₄×D₁₇	—	4	8	no	—
543	D₄×D₁₇	—	4	4	no	—
544	D₄×D₁₇	—	4	16	no	—
545	D₄×D₁₇	—	4	4	no	—
546	D₄×D₁₇	—	4	8	no	—
547	D₄×D₁₇	—	4	4	no	—
548	D₄×D₁₇	—	4	16	no	—
549	D₄×D₁₇	—	4	16	no	—
550	D₄×D₁₇	—	4	16	no	—
551	#63252	—	4	16	no	—
552	#63252	—	4	8	no	—
553	C₂×D₆₈	—	4	8	no	—
554	C₂×D₆₈	—	4	8	no	—
555	C₂×D₆₈	—	4	8	no	—
556	C₂×D₆₈	—	4	4	no	—
557	C₂×D₆₈	C₂⁴	1	4	yes	—
558	C₂×D₆₈	C₂⁴	1	2	yes	—
559	C₂×D₆₈	C₂⁴	1	4	yes	—
560	C₂×D₆₈	C₂⁴	1	4	yes	—
561	C₂×D₆₈	C₂⁴	1	2	yes	—
562	C₂×D₆₈	C₂⁴	1	4	yes	—
563	C₂×D₆₈	C₂⁴	1	8	yes	—
564	C₂×D₆₈	C₂⁴	1	2	yes	—
565	C₂×D₆₈	C₂⁴	1	8	yes	—
566	C₂×D₆₈	C₂⁴	1	8	yes	—
567	C₂×D₆₈	C₂⁴	1	8	yes	—
568	C₂×C₄×D₁₇	—	2	4	no	—
569	C₂×C₄×D₁₇	—	2	8	no	—
570	C₂×C₄×D₁₇	—	2	16	no	—
571	C₂×C₄×D₁₇	—	4	8	no	—
572	C₂×C₄×D₁₇	—	4	16	no	—
573	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
574	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
575	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
576	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
577	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
578	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
580	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
581	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
582	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
585	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
586	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
587	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
588	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
589	C₂×Dic₃₄	C₂⁴	1	2	yes	—
590	C₂×Dic₃₄	C₂⁴	1	4	yes	—
591	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
592	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
593	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
594	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
595	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
596	C₄⋊C₄×C₁₇	C₂⁴	1	2	yes	—
597	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
598	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
599	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
600	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
601	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
602	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
603	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
604	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
605	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
606	C₄²×C₁₇	C₂⁴	1	2	yes	—
607	C₄²×C₁₇	C₂⁴	1	4	yes	—
608	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
609	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
610	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
611	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
612	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
613	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
614	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
615	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
616	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
617	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
618	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
619	#63227	C₂⁴	1	4	yes	—
620	#63227	C₂⁴	1	4	yes	—
621	#63227	C₂⁴	1	4	yes	—
622	#63227	C₂⁴	1	4	yes	—
623	#63227	C₂⁴	1	4	yes	—
624	#63227	C₂⁴	1	4	yes	—
625	#63227	C₂⁴	1	4	yes	—
626	#63227	C₂⁴	1	8	yes	—
627	#63227	C₂⁴	1	8	yes	—
628	#63227	C₂⁴	1	4	yes	—
629	#63227	C₂⁴	1	8	yes	—
630	#63227	C₂⁴	1	8	yes	—
631	#63227	C₂⁴	1	4	yes	—
632	#63227	C₂⁴	1	8	yes	—
633	#63227	C₂⁴	1	4	yes	—
634	#63227	C₂⁴	1	8	yes	—
635	C₄⋊Dic₁₇	C₂⁴	1	2	yes	—
636	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
637	C₄⋊Dic₁₇	C₂⁴	1	2	yes	—
638	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
639	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
640	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
641	#63225	C₂⁴	1	4	yes	—
642	#63225	C₂⁴	1	4	yes	—
643	#63225	C₂⁴	1	4	yes	—
644	#63225	C₂⁴	1	4	yes	—
645	#63225	C₂⁴	1	4	yes	—
646	#63225	C₂⁴	1	4	yes	—
647	#63225	C₂⁴	1	4	yes	—
648	#63225	C₂⁴	1	4	yes	—
649	#63225	C₂⁴	1	4	yes	—
650	#63225	C₂⁴	1	4	yes	—
651	C₄×Dic₁₇	C₂⁴	1	2	yes	—
652	C₄×Dic₁₇	C₂⁴	1	4	yes	—
653	C₄×Dic₁₇	C₂⁴	1	2	yes	—
654	C₄×Dic₁₇	C₂⁴	1	2	yes	—
655	C₄×Dic₁₇	C₂⁴	1	2	yes	—
656	C₄×Dic₁₇	C₂⁴	1	2	yes	—
657	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
658	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
659	C₄×Dic₁₇	C₂⁴	1	4	yes	—
660	C₄×Dic₁₇	C₂⁴	1	4	yes	—
661	C₂×#3543	—	17	1	no	maximal, Sylow
662	C₂³×C₁₇	—	2	8	no	—
663	C₂³×C₁₇	—	4	8	no	—
664	C₂³×C₁₇	—	4	8	no	—
665	C₂³×C₁₇	—	4	4	no	—
666	C₂³×C₁₇	C₂⁵	1	4	yes	—
667	C₂³×C₁₇	C₂⁵	1	4	yes	—
668	C₂³×C₁₇	C₂⁵	1	4	yes	—
669	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
670	C₂²×D₁₇	—	2	4	no	—
671	C₂²×D₁₇	—	2	8	no	—
672	C₂²×D₁₇	—	2	8	no	—
673	C₂²×D₁₇	—	2	16	no	—
674	C₂²×D₁₇	—	2	8	no	—
675	C₂²×D₁₇	—	2	8	no	—
676	C₂²×D₁₇	—	2	8	no	—
677	C₂²×D₁₇	—	2	16	no	—
678	C₂²×D₁₇	—	2	8	no	—
679	C₂²×D₁₇	—	2	8	no	—
680	C₂²×D₁₇	—	2	8	no	—
681	C₂²×D₁₇	—	4	8	no	—
682	C₂²×D₁₇	—	4	8	no	—
683	C₂²×D₁₇	—	4	4	no	—
684	C₂²×D₁₇	—	4	8	no	—
685	C₂²×D₁₇	—	4	8	no	—
686	C₂²×D₁₇	—	4	8	no	—
687	C₂²×D₁₇	—	4	8	no	—
688	C₂²×D₁₇	—	4	8	no	—
689	C₂²×D₁₇	—	8	32	no	—
690	C₂²×D₁₇	—	8	32	no	—
691	C₂²×D₁₇	H(5,𝔽₂)	1	4	yes	—
692	C₂²×D₁₇	C₂⁵	1	4	yes	—
693	C₂²×D₁₇	C₂⁵	1	4	yes	—
694	C₂²×D₁₇	C₂⁵	1	4	yes	—
695	C₂²×D₁₇	C₂⁵	1	1	yes	characteristic
696	C₂²×D₁₇	C₂⁵	1	1	yes	characteristic
697	Q₈×C₁₇	—	2	4	no	—
698	D₄×C₁₇	—	2	8	no	—
699	D₄×C₁₇	—	2	8	no	—
700	D₄×C₁₇	—	2	4	no	—
701	D₄×C₁₇	—	2	8	no	—
702	D₄×C₁₇	—	4	8	no	—
703	D₄×C₁₇	—	4	8	no	—
704	D₄×C₁₇	—	4	2	no	—
705	D₄×C₁₇	—	4	4	no	—
706	D₄×C₁₇	—	4	2	no	—
707	D₄×C₁₇	—	4	8	no	—
708	D₄×C₁₇	—	4	8	no	—
709	C₂×C₄×C₁₇	—	2	2	no	—
710	C₂×C₄×C₁₇	—	2	4	no	—
711	C₂×C₄×C₁₇	—	2	8	no	—
712	C₂×C₄×C₁₇	—	4	4	no	—
713	C₂×C₄×C₁₇	—	4	8	no	—
714	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
715	C₂×C₄×C₁₇	C₂⁵	1	2	yes	—
716	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
717	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
718	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
719	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
720	C₂×C₄×C₁₇	C₂⁵	1	2	yes	—
721	C₂²⋊D₁₇	—	2	8	no	—
722	C₂²⋊D₁₇	—	2	8	no	—
723	C₂²⋊D₁₇	—	2	16	no	—
724	C₂²⋊D₁₇	—	2	8	no	—
725	C₂²⋊D₁₇	—	2	16	no	—
726	C₂²⋊D₁₇	—	4	8	no	—
727	C₂²⋊D₁₇	—	4	8	no	—
728	C₂²⋊D₁₇	—	4	8	no	—
729	C₂²⋊D₁₇	—	4	8	no	—
730	C₂²⋊D₁₇	—	4	8	no	—
731	C₂²⋊D₁₇	—	4	4	no	—
732	C₂²⋊D₁₇	—	4	4	no	—
733	C₂²⋊D₁₇	—	4	8	no	—
734	C₂²⋊D₁₇	—	4	4	no	—
735	C₂²⋊D₁₇	—	4	4	no	—
736	C₂²⋊D₁₇	—	4	8	no	—
737	C₂²⋊D₁₇	—	4	8	no	—
738	C₂×Dic₁₇	—	2	2	no	—
739	C₂×Dic₁₇	—	2	8	no	—
740	C₂×Dic₁₇	—	2	4	no	—
741	C₂×Dic₁₇	—	4	8	no	—
742	C₂×Dic₁₇	—	4	4	no	—
743	C₂×Dic₁₇	C₂⁵	1	4	yes	—
744	C₂×Dic₁₇	C₂⁵	1	4	yes	—
745	C₂×Dic₁₇	C₂⁵	1	4	yes	—
746	C₂×Dic₁₇	C₂⁵	1	2	yes	—
747	C₂×Dic₁₇	C₂⁵	1	1	yes	characteristic
748	C₂×Dic₁₇	C₂⁵	1	1	yes	characteristic
749	C₂×Dic₁₇	C₂⁵	1	2	yes	—
750	D₆₈	—	2	8	no	—
751	D₆₈	—	2	8	no	—
752	D₆₈	—	2	4	no	—
753	D₆₈	—	2	8	no	—
754	D₆₈	—	4	8	no	—
755	D₆₈	—	4	8	no	—
756	D₆₈	—	4	2	no	—
757	D₆₈	—	4	4	no	—
758	D₆₈	—	4	2	no	—
759	D₆₈	—	4	8	no	—
760	D₆₈	—	4	8	no	—
761	C₄×D₁₇	—	2	8	no	—
762	C₄×D₁₇	—	2	2	no	—
763	C₄×D₁₇	—	2	2	no	—
764	C₄×D₁₇	—	2	2	no	—
765	C₄×D₁₇	—	2	2	no	—
766	C₄×D₁₇	—	2	4	no	—
767	C₄×D₁₇	—	2	8	no	—
768	C₄×D₁₇	—	2	8	no	—
769	C₄×D₁₇	—	2	4	no	—
770	C₄×D₁₇	—	2	8	no	—
771	C₄×D₁₇	—	2	8	no	—
772	C₄×D₁₇	—	2	4	no	—
773	C₄×D₁₇	—	4	8	no	—
774	C₄×D₁₇	—	4	8	no	—
775	C₄×D₁₇	—	4	8	no	—
776	C₄×D₁₇	H(5,𝔽₂)	1	8	yes	—
777	Dic₃₄	—	2	4	no	—
778	Dic₃₄	—	2	8	no	—
779	#3543	—	17	4	no	—
780	#3543	—	17	1	no	—
781	#3543	—	17	2	no	—
782	#3543	—	17	4	no	—
783	#3543	—	17	4	no	—
784	#3543	—	17	1	no	—
785	#3543	—	17	4	no	—
786	#3543	—	17	4	no	—
787	#3543	—	17	4	no	—
788	#3543	—	17	1	no	—
789	#3543	—	17	2	no	—
790	#3543	D₁₇	1	1	yes	characteristic, direct product factor
791	C₂×#560	—	17	4	no	—
792	C₂×#559	—	17	1	no	—
793	C₂×#550	—	17	2	no	—
794	C₂×#546	—	17	4	no	—
795	C₂×D₄²	—	17	4	no	—
796	C₂×D₄²	—	17	1	no	—
797	C₂×#540	—	17	4	no	—
798	C₂×#535	—	17	4	no	—
799	C₂×#534	—	17	4	no	—
800	C₂²×#127	—	17	1	no	—
801	C₂×#529	—	17	2	no	—
802	C₂²×C₁₇	—	2	2	no	—
803	C₂²×C₁₇	—	2	4	no	—
804	C₂²×C₁₇	—	2	8	no	—
805	C₂²×C₁₇	—	2	4	no	—
806	C₂²×C₁₇	—	2	4	no	—
807	C₂²×C₁₇	—	2	8	no	—
808	C₂²×C₁₇	—	2	4	no	—
809	C₂²×C₁₇	—	2	4	no	—
810	C₂²×C₁₇	—	8	8	no	—
811	C₂²×C₁₇	—	8	8	no	—
812	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	2	yes	—
813	C₂²×C₁₇	C₂⁶	1	1	yes	characteristic
814	C₂×D₁₇	—	2	2	no	—
815	C₂×D₁₇	—	2	8	no	—
816	C₂×D₁₇	—	2	4	no	—
817	C₂×D₁₇	—	2	8	no	—
818	C₂×D₁₇	—	2	4	no	—
819	C₂×D₁₇	—	2	4	no	—
820	C₂×D₁₇	—	2	4	no	—
821	C₂×D₁₇	—	2	8	no	—
822	C₂×D₁₇	—	2	4	no	—
823	C₂×D₁₇	—	4	16	no	—
824	C₂×D₁₇	—	4	16	no	—
825	C₂×D₁₇	—	4	16	no	—
826	C₂×D₁₇	—	8	8	no	—
827	C₂×D₁₇	—	8	8	no	—
828	C₂×D₁₇	—	8	8	no	—
829	C₂×D₁₇	—	8	8	no	—
830	C₂×D₁₇	—	8	16	no	—
831	C₂×D₁₇	C₂×H(5,𝔽₂)	1	2	yes	—
832	C₂×D₁₇	C₂×H(5,𝔽₂)	1	2	yes	—
833	C₂×D₁₇	C₂×H(5,𝔽₂)	1	4	yes	—
834	C₄×C₁₇	—	2	4	no	—
835	C₄×C₁₇	—	2	4	no	—
836	C₄×C₁₇	—	2	1	no	—
837	C₄×C₁₇	—	2	1	no	—
838	C₄×C₁₇	—	2	2	no	—
839	C₄×C₁₇	—	2	4	no	—
840	C₄×C₁₇	C₂×H(5,𝔽₂)	1	4	yes	—
841	Dic₁₇	—	2	4	no	—
842	Dic₁₇	—	2	4	no	—
843	Dic₁₇	—	2	1	no	—
844	Dic₁₇	—	2	1	no	—
845	Dic₁₇	—	2	2	no	—
846	Dic₁₇	—	2	4	no	—
847	Dic₁₇	C₂×H(5,𝔽₂)	1	4	yes	—
848	C₂²×#41	—	17	4	no	—
849	C₂³×D₄	—	17	2	no	—
850	C₂³×D₄	—	17	4	no	—
851	C₂³×D₄	—	17	4	no	—
852	C₂³×D₄	—	17	4	no	—
853	#560	—	17	4	no	—
854	#560	—	17	8	no	—
855	#560	—	17	4	no	—
856	#560	—	17	8	no	—
857	#560	—	17	8	no	—
858	#560	—	17	8	no	—
859	#560	—	17	8	no	—
860	#560	—	17	8	no	—
861	#560	—	17	4	no	—
862	#560	C₂×D₁₇	1	4	yes	complemented
863	#559	—	17	1	no	—
864	#559	—	17	4	no	—
865	#559	—	17	4	no	—
866	#559	—	17	2	no	—
867	#559	—	17	4	no	—
868	#559	C₂×D₁₇	1	1	yes	characteristic, complemented
869	#550	—	17	4	no	—
870	#550	—	17	4	no	—
871	#550	—	17	2	no	—
872	#550	—	17	4	no	—
873	#550	—	17	8	no	—
874	#550	—	17	2	no	—
875	#550	—	17	4	no	—
876	#550	—	17	2	no	—
877	#550	C₂×D₁₇	1	2	yes	complemented
878	#546	—	17	4	no	—
879	#546	—	17	4	no	—
880	#546	—	17	4	no	—
881	#546	—	17	8	no	—
882	#546	—	17	4	no	—
883	#546	—	17	4	no	—
884	#546	—	17	8	no	—
885	#546	—	17	8	no	—
886	#546	—	17	4	no	—
887	#546	—	17	4	no	—
888	#546	—	17	8	no	—
889	#546	C₂×D₁₇	1	4	yes	complemented
890	D₄²	—	17	8	no	—
891	D₄²	—	17	4	no	—
892	D₄²	—	17	4	no	—
893	D₄²	—	17	4	no	—
894	D₄²	—	17	1	no	—
895	D₄²	—	17	4	no	—
896	D₄²	—	17	4	no	—
897	D₄²	—	17	4	no	—
898	D₄²	—	17	4	no	—
899	D₄²	—	17	8	no	—
900	D₄²	—	17	8	no	—
901	D₄²	—	17	8	no	—
902	D₄²	—	17	4	no	—
903	D₄²	—	17	4	no	—
904	D₄²	—	17	2	no	—
905	D₄²	—	17	4	no	—
906	D₄²	C₂×D₁₇	1	4	yes	complemented
907	D₄²	C₂×D₁₇	1	1	yes	characteristic, complemented
908	#540	—	17	4	no	—
909	#540	—	17	4	no	—
910	#540	—	17	8	no	—
911	#540	—	17	8	no	—
912	#540	—	17	8	no	—
913	#540	—	17	8	no	—
914	#540	—	17	4	no	—
915	#540	—	17	4	no	—
916	#540	—	17	4	no	—
917	#540	—	17	4	no	—
918	#540	—	17	4	no	—
919	#540	C₂×D₁₇	1	4	yes	complemented
920	#535	—	17	4	no	—
921	#535	—	17	4	no	—
922	#535	—	17	4	no	—
923	#535	—	17	4	no	—
924	#535	—	17	4	no	—
925	#535	—	17	4	no	—
926	#535	—	17	8	no	—
927	#535	—	17	8	no	—
928	#535	—	17	8	no	—
929	#535	—	17	8	no	—
930	#535	—	17	4	no	—
931	#535	C₂×D₁₇	1	4	yes	complemented
932	#534	—	17	4	no	—
933	#534	—	17	4	no	—
934	#534	—	17	4	no	—
935	#534	—	17	8	no	—
936	#534	—	17	4	no	—
937	#534	—	17	8	no	—
938	#534	—	17	8	no	—
939	#534	—	17	4	no	—
940	#534	—	17	8	no	—
941	#534	—	17	4	no	—
942	#534	—	17	4	no	—
943	#534	C₂×D₁₇	1	4	yes	complemented
944	C₂×#127	—	17	4	no	—
945	C₂×#127	—	17	2	no	—
946	C₂×#127	—	17	1	no	—
947	C₂×#127	—	17	1	no	—
948	C₂×#127	—	17	4	no	—
949	C₂×#127	—	17	1	no	—
950	C₂×#127	—	17	2	no	—
951	C₂×#127	—	17	2	no	—
952	C₂×#127	—	17	1	no	—
953	C₂×#127	—	17	4	no	—
954	C₂×#127	—	17	4	no	—
955	C₂×#127	—	17	1	no	—
956	C₂×#127	C₂×D₁₇	1	1	yes	characteristic, complemented
957	#529	—	17	4	no	—
958	#529	—	17	2	no	—
959	#529	—	17	2	no	—
960	#529	—	17	4	no	—
961	#529	—	17	2	no	—
962	#529	—	17	2	no	—
963	#529	—	17	2	no	—
964	#529	—	17	4	no	—
965	#529	—	17	2	no	—
966	#529	—	17	4	no	—
967	#529	—	17	2	no	—
968	#529	C₂×D₁₇	1	2	yes	complemented
969	C₂×#126	—	17	4	no	—
970	C₂×#125	—	17	2	no	—
971	C₂×#124	—	17	2	no	—
972	C₂×#124	—	17	4	no	—
973	C₂×#123	—	17	4	no	—
974	C₂×#123	—	17	4	no	—
975	C₂×#123	—	17	4	no	—
976	C₂×#123	—	17	8	no	—
977	C₂×C₂²⋊Q₈	—	17	2	no	—
978	C₂×#121	—	17	2	no	—
979	C₂×#121	—	17	8	no	—
980	C₂×#121	—	17	8	no	—
981	C₂×#121	—	17	8	no	—
982	C₂×#121	—	17	4	no	—
983	C₂×#121	—	17	4	no	—
984	C₂×#121	—	17	8	no	—
985	C₂×#120	—	17	4	no	—
986	C₂×#120	—	17	8	no	—
987	C₂×#120	—	17	4	no	—
988	C₂×#120	—	17	8	no	—
989	C₂×C₄×Q₈	—	17	2	no	—
990	C₂×C₄×D₄	—	17	4	no	—
991	C₂×C₄×D₄	—	17	2	no	—
992	C₂×C₄×D₄	—	17	4	no	—
993	C₂×C₄×D₄	—	17	4	no	—
994	C₂×#117	—	17	4	no	—
995	C₂²×C₂²⋊C₄	—	17	4	no	—
996	C₂²×C₄²	—	17	1	no	—
997	C₂×C₁₇	—	2	2	no	—
998	C₂×C₁₇	—	4	4	no	—
999	C₂×C₁₇	—	4	4	no	—
1000	C₂×C₁₇	—	4	4	no	—
1001	C₂×C₁₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₂×C₁₇	C₂²×H(5,𝔽₂)	1	2	yes	—
1003	D₁₇	—	2	2	no	—
1004	D₁₇	—	4	4	no	—
1005	D₁₇	—	4	4	no	—
1006	D₁₇	—	4	4	no	—
1007	D₁₇	#3543	1	4	yes	direct product factor
1008	C₂⁵	—	17	4	no	—
1009	C₂⁵	—	17	4	no	—
1010	C₂×#41	—	17	4	no	—
1011	C₂×#41	—	17	8	no	—
1012	C₂×#41	—	17	4	no	—
1013	C₂×#41	—	17	8	no	—
1014	C₂×#41	—	17	4	no	—
1015	C₂×#41	—	68	16	no	—
1016	C₂×#41	C₂²×D₁₇	1	4	yes	complemented
1017	C₂²×Q₈	—	17	2	no	—
1018	C₂²×D₄	—	17	4	no	—
1019	C₂²×D₄	—	17	8	no	—
1020	C₂²×D₄	—	17	4	no	—
1021	C₂²×D₄	—	17	4	no	—
1022	C₂²×D₄	—	17	8	no	—
1023	C₂²×D₄	—	17	4	no	—
1024	C₂²×D₄	—	17	2	no	—
1025	C₂²×D₄	—	17	4	no	—
1026	C₂²×D₄	—	17	4	no	—
1027	C₂²×D₄	—	17	8	no	—
1028	C₂²×D₄	—	17	8	no	—
1029	C₂²×D₄	—	17	2	no	—
1030	C₂²×D₄	—	17	8	no	—
1031	C₂²×D₄	—	17	4	no	—
1032	C₂²×D₄	—	17	8	no	—
1033	C₂²×D₄	—	17	2	no	—
1034	C₂²×D₄	—	17	4	no	—
1035	C₂²×D₄	—	17	2	no	—
1036	C₂²×D₄	—	17	2	no	—
1037	C₂²×D₄	—	17	8	no	—
1038	C₂²×D₄	—	17	4	no	—
1039	C₂²×D₄	—	17	4	no	—
1040	C₂²×D₄	—	17	8	no	—
1041	C₂²×D₄	—	17	8	no	—
1042	C₂²×D₄	—	17	8	no	—
1043	C₂²×D₄	—	17	4	no	—
1044	C₂²×D₄	—	17	4	no	—
1045	C₂²×D₄	—	17	2	no	—
1046	C₂²×D₄	—	17	4	no	—
1047	C₂²×D₄	—	17	4	no	—
1048	C₂²×D₄	—	17	4	no	—
1049	C₂²×D₄	—	68	16	no	—
1050	C₂²×D₄	—	68	16	no	—
1051	C₂²×D₄	—	68	8	no	—
1052	C₂²×D₄	—	68	16	no	—
1053	C₂²×D₄	C₂²×D₁₇	1	2	yes	complemented
1054	C₂²×D₄	C₂²×D₁₇	1	4	yes	complemented
1055	C₂²×D₄	C₂²×D₁₇	1	4	yes	complemented
1056	C₂²×D₄	C₂²×D₁₇	1	4	yes	complemented
1057	C₂³×C₄	—	17	4	no	—
1058	C₂³×C₄	—	17	2	no	—
1059	C₂³×C₄	—	17	1	no	—
1060	C₂³×C₄	—	17	8	no	—
1061	C₂³×C₄	—	17	4	no	—
1062	#127	—	17	8	no	—
1063	#127	—	17	8	no	—
1064	#127	—	17	4	no	—
1065	#127	—	17	4	no	—
1066	#127	—	17	2	no	—
1067	#127	—	17	4	no	—
1068	#127	—	17	2	no	—
1069	#127	—	17	4	no	—
1070	#127	—	17	8	no	—
1071	#127	—	17	2	no	—
1072	#127	—	17	2	no	—
1073	#127	—	17	8	no	—
1074	#127	—	17	8	no	—
1075	#127	—	17	4	no	—
1076	#127	—	17	4	no	—
1077	#127	—	17	4	no	—
1078	#127	—	17	1	no	—
1079	#127	—	17	1	no	—
1080	#127	—	17	2	no	—
1081	#127	—	17	4	no	—
1082	#127	C₂²×D₁₇	1	1	yes	characteristic
1083	#127	C₂²×D₁₇	1	4	yes	complemented
1084	#127	C₂²×D₁₇	1	1	yes	characteristic, complemented
1085	#127	C₂²×D₁₇	1	2	yes	complemented
1086	#127	C₂²×D₁₇	1	4	yes	complemented
1087	#126	—	17	4	no	—
1088	#126	—	17	4	no	—
1089	#126	—	17	4	no	—
1090	#126	—	17	4	no	—
1091	#126	—	17	4	no	—
1092	#126	—	17	4	no	—
1093	#126	—	17	4	no	—
1094	#126	C₂²×D₁₇	1	4	yes	complemented
1095	#125	—	17	4	no	—
1096	#125	—	17	4	no	—
1097	#125	—	17	2	no	—
1098	#125	—	17	2	no	—
1099	#125	—	17	2	no	—
1100	#125	C₂²×D₁₇	1	2	yes	complemented
1101	#124	—	17	2	no	—
1102	#124	—	17	4	no	—
1103	#124	—	17	2	no	—
1104	#124	—	17	4	no	—
1105	#124	—	17	4	no	—
1106	#124	—	17	4	no	—
1107	#124	—	17	8	no	—
1108	#124	—	17	8	no	—
1109	#124	—	17	2	no	—
1110	#124	—	17	4	no	—
1111	#124	C₂²×D₁₇	1	2	yes	complemented
1112	#124	C₂²×D₁₇	1	4	yes	complemented
1113	#123	—	17	4	no	—
1114	#123	—	17	4	no	—
1115	#123	—	17	4	no	—
1116	#123	—	17	8	no	—
1117	#123	—	17	4	no	—
1118	#123	—	17	4	no	—
1119	#123	—	17	4	no	—
1120	#123	—	17	8	no	—
1121	#123	—	17	4	no	—
1122	#123	—	17	4	no	—
1123	#123	—	17	8	no	—
1124	#123	—	17	8	no	—
1125	#123	—	17	8	no	—
1126	#123	—	17	8	no	—
1127	#123	—	17	4	no	—
1128	#123	—	17	4	no	—
1129	#123	—	17	4	no	—
1130	#123	—	17	8	no	—
1131	#123	—	17	4	no	—
1132	#123	—	17	8	no	—
1133	#123	—	17	4	no	—
1134	#123	—	17	8	no	—
1135	#123	—	17	8	no	—
1136	#123	—	17	8	no	—
1137	#123	C₂²×D₁₇	1	4	yes	complemented
1138	#123	C₂²×D₁₇	1	4	yes	complemented
1139	#123	C₂²×D₁₇	1	4	yes	complemented
1140	#123	C₂²×D₁₇	1	8	yes	complemented
1141	C₂²⋊Q₈	—	17	2	no	—
1142	C₂²⋊Q₈	—	17	2	no	—
1143	C₂²⋊Q₈	—	17	4	no	—
1144	C₂²⋊Q₈	—	17	2	no	—
1145	C₂²⋊Q₈	—	17	4	no	—
1146	C₂²⋊Q₈	C₂²×D₁₇	1	2	yes	complemented
1147	#121	—	17	2	no	—
1148	#121	—	17	4	no	—
1149	#121	—	17	8	no	—
1150	#121	—	17	8	no	—
1151	#121	—	17	8	no	—
1152	#121	—	17	8	no	—
1153	#121	—	17	8	no	—
1154	#121	—	17	8	no	—
1155	#121	—	17	8	no	—
1156	#121	—	17	8	no	—
1157	#121	—	17	8	no	—
1158	#121	—	17	4	no	—
1159	#121	—	17	8	no	—
1160	#121	—	17	4	no	—
1161	#121	—	17	8	no	—
1162	#121	—	17	8	no	—
1163	#121	—	17	8	no	—
1164	#121	—	17	8	no	—
1165	#121	—	17	2	no	—
1166	#121	—	17	8	no	—
1167	#121	—	17	8	no	—
1168	#121	—	17	8	no	—
1169	#121	—	17	4	no	—
1170	#121	—	17	4	no	—
1171	#121	—	17	8	no	—
1172	#121	—	17	2	no	—
1173	#121	—	17	8	no	—
1174	#121	—	17	8	no	—
1175	#121	—	17	8	no	—
1176	#121	—	17	4	no	—
1177	#121	—	17	4	no	—
1178	#121	—	17	8	no	—
1179	#121	—	17	4	no	—
1180	#121	—	17	8	no	—
1181	#121	—	17	8	no	—
1182	#121	—	17	8	no	—
1183	#121	—	17	8	no	—
1184	#121	—	17	8	no	—
1185	#121	—	17	8	no	—
1186	#121	—	17	8	no	—
1187	#121	—	17	8	no	—
1188	#121	—	17	8	no	—
1189	#121	—	17	8	no	—
1190	#121	C₂²×D₁₇	1	2	yes	—
1191	#121	C₂²×D₁₇	1	8	yes	complemented
1192	#121	C₂²×D₁₇	1	8	yes	complemented
1193	#121	C₂²×D₁₇	1	8	yes	complemented
1194	#121	C₂²×D₁₇	1	4	yes	complemented
1195	#121	C₂²×D₁₇	1	4	yes	complemented
1196	#121	C₂²×D₁₇	1	8	yes	complemented
1197	#120	—	17	4	no	—
1198	#120	—	17	8	no	—
1199	#120	—	17	4	no	—
1200	#120	—	17	8	no	—
1201	#120	—	17	4	no	—
1202	#120	—	17	8	no	—
1203	#120	—	17	8	no	—
1204	#120	—	17	8	no	—
1205	#120	—	17	8	no	—
1206	#120	—	17	4	no	—
1207	#120	—	17	8	no	—
1208	#120	—	17	8	no	—
1209	#120	—	17	8	no	—
1210	#120	—	17	8	no	—
1211	#120	—	17	8	no	—
1212	#120	—	17	4	no	—
1213	#120	—	17	8	no	—
1214	#120	—	17	8	no	—
1215	#120	—	17	8	no	—
1216	#120	—	17	8	no	—
1217	#120	—	17	4	no	—
1218	#120	—	17	8	no	—
1219	#120	—	17	8	no	—
1220	#120	—	17	8	no	—
1221	#120	C₂²×D₁₇	1	4	yes	complemented
1222	#120	C₂²×D₁₇	1	8	yes	complemented
1223	#120	C₂²×D₁₇	1	4	yes	complemented
1224	#120	C₂²×D₁₇	1	8	yes	complemented
1225	C₄×Q₈	—	17	2	no	—
1226	C₄×Q₈	—	17	4	no	—
1227	C₄×Q₈	—	17	2	no	—
1228	C₄×Q₈	—	17	4	no	—
1229	C₄×Q₈	—	17	2	no	—
1230	C₄×Q₈	C₂²×D₁₇	1	2	yes	complemented
1231	C₄×D₄	—	17	4	no	—
1232	C₄×D₄	—	17	2	no	—
1233	C₄×D₄	—	17	4	no	—
1234	C₄×D₄	—	17	4	no	—
1235	C₄×D₄	—	17	4	no	—
1236	C₄×D₄	—	17	4	no	—
1237	C₄×D₄	—	17	4	no	—
1238	C₄×D₄	—	17	8	no	—
1239	C₄×D₄	—	17	8	no	—
1240	C₄×D₄	—	17	4	no	—
1241	C₄×D₄	—	17	2	no	—
1242	C₄×D₄	—	17	4	no	—
1243	C₄×D₄	—	17	4	no	—
1244	C₄×D₄	—	17	4	no	—
1245	C₄×D₄	—	17	4	no	—
1246	C₄×D₄	—	17	4	no	—
1247	C₄×D₄	—	17	8	no	—
1248	C₄×D₄	—	17	8	no	—
1249	C₄×D₄	—	17	4	no	—
1250	C₄×D₄	—	17	2	no	—
1251	C₄×D₄	—	17	4	no	—
1252	C₄×D₄	—	17	4	no	—
1253	C₄×D₄	C₂²×D₁₇	1	4	yes	complemented
1254	C₄×D₄	C₂²×D₁₇	1	2	yes	complemented
1255	C₄×D₄	C₂²×D₁₇	1	4	yes	complemented
1256	C₄×D₄	C₂²×D₁₇	1	4	yes	complemented
1257	#117	—	17	4	no	—
1258	#117	—	17	4	no	—
1259	#117	—	17	4	no	—
1260	#117	—	17	4	no	—
1261	#117	—	17	4	no	—
1262	#117	—	17	4	no	—
1263	#117	—	17	4	no	—
1264	#117	C₂²×D₁₇	1	4	yes	complemented
1265	C₂×C₄⋊C₄	—	17	4	no	—
1266	C₂×C₄⋊C₄	—	17	4	no	—
1267	C₂×C₄⋊C₄	—	17	2	no	—
1268	C₂×C₄⋊C₄	—	17	2	no	—
1269	C₂×C₄⋊C₄	—	17	4	no	—
1270	C₂×C₄⋊C₄	—	17	4	no	—
1271	C₂×C₂²⋊C₄	—	17	4	no	—
1272	C₂×C₂²⋊C₄	—	17	8	no	—
1273	C₂×C₂²⋊C₄	—	17	4	no	—
1274	C₂×C₂²⋊C₄	—	17	4	no	—
1275	C₂×C₂²⋊C₄	—	17	4	no	—
1276	C₂×C₂²⋊C₄	—	17	8	no	—
1277	C₂×C₂²⋊C₄	—	17	4	no	—
1278	C₂×C₂²⋊C₄	—	17	4	no	—
1279	C₂×C₂²⋊C₄	—	17	4	no	—
1280	C₂×C₂²⋊C₄	—	17	4	no	—
1281	C₂×C₂²⋊C₄	—	17	4	no	—
1282	C₂×C₂²⋊C₄	—	17	4	no	—
1283	C₂×C₂²⋊C₄	—	17	8	no	—
1284	C₂×C₂²⋊C₄	—	17	8	no	—
1285	C₂×C₂²⋊C₄	C₂²×D₁₇	1	4	yes	complemented
1286	C₂×C₄²	—	17	1	no	—
1287	C₂×C₄²	—	17	2	no	—
1288	C₂×C₄²	—	17	2	no	—
1289	C₂×C₄²	—	17	4	no	—
1290	C₂×C₄²	—	17	1	no	—
1291	C₂×C₄²	—	17	1	no	—
1292	C₂×C₄²	—	17	1	no	—
1293	C₂×C₄²	—	17	1	no	—
1294	C₂×C₄²	—	17	2	no	—
1295	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic, complemented
1296	C₁₇	C₂×#3543	1	1	yes	characteristic, complemented, Sylow
1297	C₂⁴	—	17	1	no	—
1298	C₂⁴	—	17	4	no	—
1299	C₂⁴	—	17	4	no	—
1300	C₂⁴	—	17	4	no	—
1301	C₂⁴	—	17	4	no	—
1302	C₂⁴	—	17	4	no	—
1303	C₂⁴	—	17	4	no	—
1304	C₂⁴	—	17	4	no	—
1305	C₂⁴	—	17	8	no	—
1306	C₂⁴	—	34	16	no	—
1307	C₂⁴	—	68	16	no	—
1308	C₂⁴	—	68	16	no	—
1309	C₂⁴	—	68	8	no	—
1310	C₂⁴	C₂³×D₁₇	1	4	yes	—
1311	C₂⁴	C₂³×D₁₇	1	4	yes	—
1312	#41	—	4	8	no	—
1313	#41	—	68	8	no	—
1314	#41	—	68	16	no	—
1315	#41	—	68	8	no	—
1316	#41	—	68	16	no	—
1317	#41	—	68	8	no	—
1318	C₂×Q₈	—	17	4	no	—
1319	C₂×Q₈	—	17	2	no	—
1320	C₂×Q₈	—	34	8	no	—
1321	C₂×Q₈	C₂³×D₁₇	1	2	yes	—
1322	C₂×D₄	—	4	8	no	—
1323	C₂×D₄	—	4	8	no	—
1324	C₂×D₄	—	4	4	no	—
1325	C₂×D₄	—	4	8	no	—
1326	C₂×D₄	—	17	4	no	—
1327	C₂×D₄	—	17	4	no	—
1328	C₂×D₄	—	17	4	no	—
1329	C₂×D₄	—	17	8	no	—
1330	C₂×D₄	—	17	8	no	—
1331	C₂×D₄	—	17	8	no	—
1332	C₂×D₄	—	17	8	no	—
1333	C₂×D₄	—	17	8	no	—
1334	C₂×D₄	—	17	8	no	—
1335	C₂×D₄	—	17	4	no	—
1336	C₂×D₄	—	17	8	no	—
1337	C₂×D₄	—	17	8	no	—
1338	C₂×D₄	—	17	4	no	—
1339	C₂×D₄	—	17	8	no	—
1340	C₂×D₄	—	17	8	no	—
1341	C₂×D₄	—	17	4	no	—
1342	C₂×D₄	—	17	4	no	—
1343	C₂×D₄	—	17	4	no	—
1344	C₂×D₄	—	17	4	no	—
1345	C₂×D₄	—	17	2	no	—
1346	C₂×D₄	—	17	4	no	—
1347	C₂×D₄	—	17	8	no	—
1348	C₂×D₄	—	17	8	no	—
1349	C₂×D₄	—	17	2	no	—
1350	C₂×D₄	—	17	8	no	—
1351	C₂×D₄	—	17	4	no	—
1352	C₂×D₄	—	17	8	no	—
1353	C₂×D₄	—	17	2	no	—
1354	C₂×D₄	—	34	8	no	—
1355	C₂×D₄	—	34	16	no	—
1356	C₂×D₄	—	34	16	no	—
1357	C₂×D₄	—	34	16	no	—
1358	C₂×D₄	—	68	8	no	—
1359	C₂×D₄	—	68	8	no	—
1360	C₂×D₄	—	68	4	no	—
1361	C₂×D₄	—	68	8	no	—
1362	C₂×D₄	—	68	8	no	—
1363	C₂×D₄	—	68	8	no	—
1364	C₂×D₄	—	68	8	no	—
1365	C₂×D₄	—	68	8	no	—
1366	C₂×D₄	—	68	16	no	—
1367	C₂×D₄	—	68	16	no	—
1368	C₂×D₄	—	68	16	no	—
1369	C₂×D₄	—	68	16	no	—
1370	C₂×D₄	—	68	4	no	—
1371	C₂×D₄	—	68	8	no	—
1372	C₂×D₄	—	68	4	no	—
1373	C₂×D₄	—	68	4	no	—
1374	C₂×D₄	—	68	8	no	—
1375	C₂×D₄	—	68	4	no	—
1376	C₂×D₄	—	68	16	no	—
1377	C₂×D₄	—	68	16	no	—
1378	C₂×D₄	—	68	16	no	—
1379	C₂×D₄	—	68	16	no	—
1380	C₂×D₄	—	68	8	no	—
1381	C₂×D₄	—	68	16	no	—
1382	C₂×D₄	—	68	16	no	—
1383	C₂×D₄	—	68	8	no	—
1384	C₂×D₄	—	68	8	no	—
1385	C₂×D₄	C₂³×D₁₇	1	4	yes	—
1386	C₂×D₄	C₂³×D₁₇	1	2	yes	—
1387	C₂×D₄	C₂³×D₁₇	1	4	yes	—
1388	C₂×D₄	C₂³×D₁₇	1	4	yes	—
1389	C₂×D₄	C₂³×D₁₇	1	8	yes	—
1390	C₂×D₄	C₂³×D₁₇	1	8	yes	—
1391	C₂×D₄	C₂³×D₁₇	1	2	yes	—
1392	C₂×D₄	C₂³×D₁₇	1	8	yes	—
1393	C₂×D₄	C₂³×D₁₇	1	4	yes	—
1394	C₂×D₄	C₂³×D₁₇	1	8	yes	—
1395	C₂×D₄	C₂³×D₁₇	1	2	yes	—
1396	C₂²×C₄	—	17	2	no	—
1397	C₂²×C₄	—	17	2	no	—
1398	C₂²×C₄	—	17	1	no	—
1399	C₂²×C₄	—	17	4	no	—
1400	C₂²×C₄	—	17	8	no	—
1401	C₂²×C₄	—	17	4	no	—
1402	C₂²×C₄	—	17	1	no	—
1403	C₂²×C₄	—	17	2	no	—
1404	C₂²×C₄	—	17	1	no	—
1405	C₂²×C₄	—	17	2	no	—
1406	C₂²×C₄	—	17	2	no	—
1407	C₂²×C₄	—	17	1	no	—
1408	C₂²×C₄	—	17	1	no	—
1409	C₂²×C₄	—	17	4	no	—
1410	C₂²×C₄	—	17	4	no	—
1411	C₂²×C₄	—	17	4	no	—
1412	C₂²×C₄	—	17	4	no	—
1413	C₂²×C₄	—	17	4	no	—
1414	C₂²×C₄	—	17	8	no	—
1415	C₂²×C₄	—	17	8	no	—
1416	C₂²×C₄	—	17	8	no	—
1417	C₂²×C₄	—	34	8	no	—
1418	C₂²×C₄	—	34	16	no	—
1419	C₂²×C₄	—	34	4	no	—
1420	C₂²×C₄	—	68	8	no	—
1421	C₂²×C₄	—	68	16	no	—
1422	C₂²×C₄	C₂³×D₁₇	1	2	yes	—
1423	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1424	C₂²×C₄	C₂³×D₁₇	1	4	yes	—
1425	C₂²×C₄	C₂³×D₁₇	1	8	yes	—
1426	C₂²×C₄	C₂³×D₁₇	1	4	yes	—
1427	C₄⋊C₄	—	17	4	no	—
1428	C₄⋊C₄	—	17	4	no	—
1429	C₄⋊C₄	—	17	4	no	—
1430	C₄⋊C₄	—	17	4	no	—
1431	C₄⋊C₄	—	17	4	no	—
1432	C₄⋊C₄	—	17	4	no	—
1433	C₄⋊C₄	—	17	4	no	—
1434	C₄⋊C₄	—	17	2	no	—
1435	C₄⋊C₄	—	17	4	no	—
1436	C₄⋊C₄	—	17	2	no	—
1437	C₄⋊C₄	—	17	4	no	—
1438	C₄⋊C₄	—	17	4	no	—
1439	C₄⋊C₄	—	17	4	no	—
1440	C₄⋊C₄	—	17	4	no	—
1441	C₄⋊C₄	—	17	4	no	—
1442	C₄⋊C₄	—	17	4	no	—
1443	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1444	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1445	C₄⋊C₄	C₂³×D₁₇	1	2	yes	—
1446	C₄⋊C₄	C₂³×D₁₇	1	2	yes	—
1447	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1448	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1449	C₂²⋊C₄	—	17	4	no	—
1450	C₂²⋊C₄	—	17	4	no	—
1451	C₂²⋊C₄	—	17	4	no	—
1452	C₂²⋊C₄	—	17	4	no	—
1453	C₂²⋊C₄	—	17	4	no	—
1454	C₂²⋊C₄	—	17	4	no	—
1455	C₂²⋊C₄	—	17	4	no	—
1456	C₂²⋊C₄	—	17	8	no	—
1457	C₂²⋊C₄	—	17	8	no	—
1458	C₂²⋊C₄	—	17	4	no	—
1459	C₂²⋊C₄	—	17	4	no	—
1460	C₂²⋊C₄	—	17	8	no	—
1461	C₂²⋊C₄	—	17	8	no	—
1462	C₂²⋊C₄	—	17	4	no	—
1463	C₂²⋊C₄	—	17	4	no	—
1464	C₂²⋊C₄	—	17	4	no	—
1465	C₂²⋊C₄	—	17	4	no	—
1466	C₂²⋊C₄	—	17	4	no	—
1467	C₂²⋊C₄	—	17	4	no	—
1468	C₂²⋊C₄	—	17	4	no	—
1469	C₂²⋊C₄	—	17	4	no	—
1470	C₂²⋊C₄	—	17	8	no	—
1471	C₂²⋊C₄	—	17	8	no	—
1472	C₂²⋊C₄	—	17	8	no	—
1473	C₂²⋊C₄	—	17	8	no	—
1474	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1475	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1476	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1477	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1478	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1479	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1480	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1481	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1482	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1483	C₄²	—	17	2	no	—
1484	C₄²	—	17	2	no	—
1485	C₄²	—	17	2	no	—
1486	C₄²	—	17	1	no	—
1487	C₄²	—	17	2	no	—
1488	C₄²	—	17	1	no	—
1489	C₄²	—	17	2	no	—
1490	C₄²	—	17	4	no	—
1491	C₄²	—	17	4	no	—
1492	C₄²	—	17	4	no	—
1493	C₄²	C₂³×D₁₇	1	2	yes	—
1494	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1495	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1496	C₄²	C₂³×D₁₇	1	4	yes	—
1497	C₂³	—	2	8	no	—
1498	C₂³	—	4	8	no	—
1499	C₂³	—	4	8	no	—
1500	C₂³	—	4	4	no	—
1501	C₂³	—	17	1	no	—
1502	C₂³	—	17	4	no	—
1503	C₂³	—	17	1	no	—
1504	C₂³	—	17	4	no	—
1505	C₂³	—	17	4	no	—
1506	C₂³	—	17	4	no	—
1507	C₂³	—	34	4	no	—
1508	C₂³	—	34	8	no	—
1509	C₂³	—	34	16	no	—
1510	C₂³	—	34	8	no	—
1511	C₂³	—	34	8	no	—
1512	C₂³	—	34	16	no	—
1513	C₂³	—	34	8	no	—
1514	C₂³	—	34	8	no	—
1515	C₂³	—	34	8	no	—
1516	C₂³	—	34	8	no	—
1517	C₂³	—	34	8	no	—
1518	C₂³	—	68	8	no	—
1519	C₂³	—	68	8	no	—
1520	C₂³	—	68	8	no	—
1521	C₂³	—	68	4	no	—
1522	C₂³	—	68	8	no	—
1523	C₂³	—	68	8	no	—
1524	C₂³	—	68	8	no	—
1525	C₂³	—	68	8	no	—
1526	C₂³	—	136	32	no	—
1527	C₂³	—	136	32	no	—
1528	C₂³	C₂⁴×D₁₇	1	4	yes	—
1529	C₂³	C₂⁴×D₁₇	1	4	yes	—
1530	C₂³	C₂⁴×D₁₇	1	4	yes	—
1531	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1532	Q₈	—	2	4	no	—
1533	Q₈	—	34	8	no	—
1534	Q₈	—	34	4	no	—
1535	D₄	—	2	8	no	—
1536	D₄	—	2	4	no	—
1537	D₄	—	2	8	no	—
1538	D₄	—	2	8	no	—
1539	D₄	—	4	8	no	—
1540	D₄	—	4	8	no	—
1541	D₄	—	4	2	no	—
1542	D₄	—	4	4	no	—
1543	D₄	—	4	2	no	—
1544	D₄	—	4	8	no	—
1545	D₄	—	4	8	no	—
1546	D₄	—	34	8	no	—
1547	D₄	—	34	8	no	—
1548	D₄	—	34	16	no	—
1549	D₄	—	34	16	no	—
1550	D₄	—	34	8	no	—
1551	D₄	—	34	8	no	—
1552	D₄	—	34	8	no	—
1553	D₄	—	34	4	no	—
1554	D₄	—	34	8	no	—
1555	D₄	—	68	8	no	—
1556	D₄	—	68	8	no	—
1557	D₄	—	68	2	no	—
1558	D₄	—	68	4	no	—
1559	D₄	—	68	2	no	—
1560	D₄	—	68	8	no	—
1561	D₄	—	68	8	no	—
1562	D₄	—	68	8	no	—
1563	D₄	—	68	8	no	—
1564	D₄	—	68	8	no	—
1565	D₄	—	68	4	no	—
1566	D₄	—	68	4	no	—
1567	D₄	—	68	8	no	—
1568	D₄	—	68	4	no	—
1569	D₄	—	68	4	no	—
1570	D₄	—	68	8	no	—
1571	D₄	—	68	8	no	—
1572	D₄	—	68	8	no	—
1573	D₄	—	68	8	no	—
1574	C₂×C₄	—	2	2	no	—
1575	C₂×C₄	—	2	4	no	—
1576	C₂×C₄	—	2	8	no	—
1577	C₂×C₄	—	4	4	no	—
1578	C₂×C₄	—	4	8	no	—
1579	C₂×C₄	—	17	2	no	—
1580	C₂×C₄	—	17	8	no	—
1581	C₂×C₄	—	17	1	no	—
1582	C₂×C₄	—	17	2	no	—
1583	C₂×C₄	—	17	1	no	—
1584	C₂×C₄	—	17	4	no	—
1585	C₂×C₄	—	17	4	no	—
1586	C₂×C₄	—	17	4	no	—
1587	C₂×C₄	—	34	4	no	—
1588	C₂×C₄	—	34	8	no	—
1589	C₂×C₄	—	34	8	no	—
1590	C₂×C₄	—	34	4	no	—
1591	C₂×C₄	—	34	2	no	—
1592	C₂×C₄	—	34	2	no	—
1593	C₂×C₄	—	34	2	no	—
1594	C₂×C₄	—	34	2	no	—
1595	C₂×C₄	—	34	8	no	—
1596	C₂×C₄	—	34	8	no	—
1597	C₂×C₄	—	34	4	no	—
1598	C₂×C₄	—	34	8	no	—
1599	C₂×C₄	—	34	2	no	—
1600	C₂×C₄	—	34	4	no	—
1601	C₂×C₄	—	34	8	no	—
1602	C₂×C₄	—	68	8	no	—
1603	C₂×C₄	—	68	8	no	—
1604	C₂×C₄	—	68	8	no	—
1605	C₂×C₄	—	68	4	no	—
1606	C₂×C₄	—	68	8	no	—
1607	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1608	C₂×C₄	C₂⁴×D₁₇	1	2	yes	—
1609	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1610	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1611	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1612	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1613	C₂×C₄	C₂⁴×D₁₇	1	2	yes	—
1614	C₂²	—	2	2	no	—
1615	C₂²	—	2	4	no	—
1616	C₂²	—	2	8	no	—
1617	C₂²	—	2	4	no	—
1618	C₂²	—	2	4	no	—
1619	C₂²	—	2	4	no	—
1620	C₂²	—	2	8	no	—
1621	C₂²	—	2	4	no	—
1622	C₂²	—	8	8	no	—
1623	C₂²	—	8	8	no	—
1624	C₂²	—	17	4	no	—
1625	C₂²	—	17	2	no	—
1626	C₂²	—	17	2	no	—
1627	C₂²	—	34	8	no	—
1628	C₂²	—	34	2	no	—
1629	C₂²	—	34	4	no	—
1630	C₂²	—	34	8	no	—
1631	C₂²	—	34	4	no	—
1632	C₂²	—	34	4	no	—
1633	C₂²	—	34	4	no	—
1634	C₂²	—	34	8	no	—
1635	C₂²	—	34	4	no	—
1636	C₂²	—	68	16	no	—
1637	C₂²	—	68	16	no	—
1638	C₂²	—	68	16	no	—
1639	C₂²	—	136	8	no	—
1640	C₂²	—	136	8	no	—
1641	C₂²	—	136	8	no	—
1642	C₂²	—	136	16	no	—
1643	C₂²	—	136	8	no	—
1644	C₂²	H(5,𝔽₂)×D₁₇	1	2	yes	—
1645	C₂²	C₂⁵×D₁₇	1	1	yes	characteristic
1646	C₄	—	2	4	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	2	no	—
1650	C₄	—	2	4	no	—
1651	C₄	—	2	4	no	—
1652	C₄	—	17	4	no	—
1653	C₄	—	34	4	no	—
1654	C₄	—	34	1	no	—
1655	C₄	—	34	1	no	—
1656	C₄	—	34	2	no	—
1657	C₄	—	34	4	no	—
1658	C₄	—	34	4	no	—
1659	C₄	H(5,𝔽₂)×D₁₇	1	4	yes	—
1660	C₂	—	2	2	no	—
1661	C₂	—	4	4	no	—
1662	C₂	—	4	4	no	—
1663	C₂	—	4	4	no	—
1664	C₂	—	17	4	no	—
1665	C₂	—	34	2	no	—
1666	C₂	—	68	4	no	—
1667	C₂	—	68	4	no	—
1668	C₂	—	68	4	no	—
1669	C₂	C₂×H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1670	C₂	C₂×H(5,𝔽₂)×D₁₇	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₇
commutator, socle, cosocle	C₂²×C₁₇	C₂⁶
Fitting	C₁₇×#3543	C₂
hypercenter	#3543	D₁₇
hypocenter	C₁₇	C₂×#3543
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #3543

Complements

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

N	H ≅ G/N	type
1. #14543118	C₂	semidirect
2. #14543117	C₂	semidirect
3. #14543116	C₂	semidirect
4. #14543115	C₂	semidirect
5. #14543114	C₂	semidirect
6. #14543113	C₂	semidirect
7. #14543112	C₂	semidirect
8. #14543111	C₂	semidirect
9. #14543110	C₂	semidirect
10. #14543109	C₂	semidirect
11. #14543108	C₂	semidirect
12. D₁₇×#560	C₂	semidirect
13. D₁₇×#559	C₂	semidirect
14. D₁₇×#550	C₂	semidirect
15. D₁₇×#546	C₂	semidirect
16. D₄²×D₁₇	C₂	semidirect
17. D₄²×D₁₇	C₂	semidirect
18. D₁₇×#540	C₂	semidirect
19. D₁₇×#535	C₂	semidirect
20. D₁₇×#534	C₂	semidirect
21. C₂×#127×D₁₇	C₂	semidirect
22. D₁₇×#529	C₂	semidirect
23. C₁₇×#3543	C₂	semidirect
24. C₂×#41×D₁₇	C₂²	semidirect
25. C₂²×D₄×D₁₇	C₂²	semidirect
26. C₂²×D₄×D₁₇	C₂²	semidirect
27. C₂²×D₄×D₁₇	C₂²	semidirect
28. C₂²×D₄×D₁₇	C₂²	semidirect
29. #11763550	C₂²	semidirect
30. #11763549	C₂²	semidirect
31. #11763549	C₂²	semidirect
32. #11763548	C₂²	semidirect
33. #11763548	C₂²	semidirect
34. #11763547	C₂²	semidirect
35. #11763547	C₂²	semidirect
36. #11763547	C₂²	semidirect
37. #11763546	C₂²	semidirect
38. #11763545	C₂²	semidirect
39. #11763544	C₂²	semidirect
40. #11763543	C₂²	semidirect
41. #11763542	C₂²	semidirect
42. #11763541	C₂²	semidirect
43. #11763481	C₂²	semidirect
44. #11763480	C₂²	semidirect
45. #11763480	C₂²	semidirect
46. #11763479	C₂²	semidirect
47. #11763479	C₂²	semidirect
48. #11763478	C₂²	semidirect
49. #11763477	C₂²	semidirect
50. #11763477	C₂²	semidirect
51. #11763456	C₂²	semidirect
52. #11763455	C₂²	semidirect
53. #11763454	C₂²	semidirect
54. #11763453	C₂²	semidirect
55. #11763452	C₂²	semidirect
56. #11763451	C₂²	semidirect
57. #11763450	C₂²	semidirect
58. #11763449	C₂²	semidirect
59. #11763448	C₂²	semidirect
60. #11763447	C₂²	semidirect
61. #11763446	C₂²	semidirect
62. D₄×D₆₈	C₂²	semidirect
63. D₄×D₆₈	C₂²	semidirect
64. D₄×D₆₈	C₂²	semidirect
65. #11763444	C₂²	semidirect
66. #11763444	C₂²	semidirect
67. #11763443	C₂²	semidirect
68. #11763443	C₂²	semidirect
69. #11763443	C₂²	semidirect
70. #11763443	C₂²	semidirect
71. D₄×C₂²⋊D₁₇	C₂²	semidirect
72. D₄×C₂²⋊D₁₇	C₂²	semidirect
73. D₄×C₂²⋊D₁₇	C₂²	semidirect
74. D₄×C₂²⋊D₁₇	C₂²	semidirect
75. #11763441	C₂²	semidirect
76. #11763441	C₂²	semidirect
77. #11763441	C₂²	semidirect
78. #11763415	C₂²	semidirect
79. #11763414	C₂²	semidirect
80. #11763413	C₂²	semidirect
81. #11763412	C₂²	semidirect
82. #11763412	C₂²	semidirect
83. #11763411	C₂²	semidirect
84. #11763411	C₂²	semidirect
85. #11763410	C₂²	semidirect
86. #11763410	C₂²	semidirect
87. #11763409	C₂²	semidirect
88. #11763409	C₂²	semidirect
89. #11763378	C₂²	semidirect
90. #11763377	C₂²	semidirect
91. #11763377	C₂²	semidirect
92. #11763376	C₂²	semidirect
93. #11763375	C₂²	semidirect
94. #11763375	C₂²	semidirect
95. #11763374	C₂²	semidirect
96. #11763374	C₂²	semidirect
97. #11763373	C₂²	semidirect
98. #11763372	C₂²	semidirect
99. #11763372	C₂²	semidirect
100. #11763371	C₂²	semidirect
101. #11763370	C₂²	semidirect
102. #11763370	C₂²	semidirect
103. #11763370	C₂²	semidirect
104. #11763369	C₂²	semidirect
105. #11763369	C₂²	semidirect
106. #11763369	C₂²	semidirect
107. #11763368	C₂²	semidirect
108. #11763368	C₂²	semidirect
109. #11763367	C₂²	semidirect
110. #11763367	C₂²	semidirect
111. C₂×#10587560	C₂²	semidirect
112. C₂×#10587626	C₂²	semidirect
113. C₂×#10587626	C₂²	semidirect
115. #127×D₁₇	C₂²	semidirect
116. #127×D₁₇	C₂²	semidirect
117. #127×D₁₇	C₂²	semidirect
118. #127×D₁₇	C₂²	semidirect
119. #127×D₁₇	C₂²	semidirect
120. #127×D₁₇	C₂²	semidirect
121. #127×D₁₇	C₂²	semidirect
122. #127×D₁₇	C₂²	semidirect
123. #11763346	C₂²	semidirect
124. #11763345	C₂²	semidirect
125. #11763344	C₂²	semidirect
126. #11763343	C₂²	semidirect
127. #11763342	C₂²	semidirect
128. #11763341	C₂²	semidirect
129. #11763340	C₂²	semidirect
130. #11763339	C₂²	semidirect
131. #11763338	C₂²	semidirect
132. #11763337	C₂²	semidirect
133. #11763336	C₂²	semidirect
134. #126×D₁₇	C₂²	semidirect
135. #125×D₁₇	C₂²	semidirect
136. #124×D₁₇	C₂²	semidirect
137. #124×D₁₇	C₂²	semidirect
138. #123×D₁₇	C₂²	semidirect
139. #123×D₁₇	C₂²	semidirect
140. #123×D₁₇	C₂²	semidirect
141. #123×D₁₇	C₂²	semidirect
142. C₂²⋊Q₈×D₁₇	C₂²	semidirect
144. #121×D₁₇	C₂²	semidirect
145. #121×D₁₇	C₂²	semidirect
146. #121×D₁₇	C₂²	semidirect
147. #121×D₁₇	C₂²	semidirect
148. #121×D₁₇	C₂²	semidirect
149. #121×D₁₇	C₂²	semidirect
150. #120×D₁₇	C₂²	semidirect
151. #120×D₁₇	C₂²	semidirect
152. #120×D₁₇	C₂²	semidirect
153. #120×D₁₇	C₂²	semidirect
154. C₄×Q₈×D₁₇	C₂²	semidirect
155. C₄×D₄×D₁₇	C₂²	semidirect
156. C₄×D₄×D₁₇	C₂²	semidirect
157. C₄×D₄×D₁₇	C₂²	semidirect
158. C₄×D₄×D₁₇	C₂²	semidirect
159. #117×D₁₇	C₂²	semidirect
160. C₂×C₂²⋊C₄×D₁₇	C₂²	semidirect
161. C₂×C₄²×D₁₇	C₂²	semidirect
162. C₁₇×#560	C₂²	semidirect
163. C₁₇×#559	C₂²	semidirect
164. C₁₇×#550	C₂²	semidirect
165. C₁₇×#546	C₂²	semidirect
166. D₄²×C₁₇	C₂²	semidirect
167. D₄²×C₁₇	C₂²	semidirect
168. C₁₇×#540	C₂²	semidirect
169. C₁₇×#535	C₂²	semidirect
170. C₁₇×#534	C₂²	semidirect
171. C₂×C₁₇×#127	C₂²	semidirect
172. C₁₇×#529	C₂²	semidirect
175. C₂×#41×C₁₇	C₂³	semidirect
176. C₂²×D₄×C₁₇	C₂³	semidirect
177. C₂²×D₄×C₁₇	C₂³	semidirect
178. C₂²×D₄×C₁₇	C₂³	semidirect
179. C₂²×D₄×C₁₇	C₂³	semidirect
180. C₂²×C₂²⋊D₁₇	C₂³	semidirect
181. C₂²×C₂²⋊D₁₇	C₂³	semidirect
182. C₂²×C₂²⋊D₁₇	C₂³	semidirect
183. C₂²×C₂²⋊D₁₇	C₂³	semidirect
184. C₂²×C₂²⋊D₁₇	C₂³	semidirect
186. C₂×#63256	C₂³	semidirect
188. C₂×#63254	C₂³	semidirect
189. C₂×#63254	C₂³	semidirect
205. C₂×D₄×D₁₇	C₂³	semidirect
206. C₂×D₄×D₁₇	C₂³	semidirect
207. C₂×D₄×D₁₇	C₂³	semidirect
208. C₂×D₄×D₁₇	C₂³	semidirect
209. C₂×D₄×D₁₇	C₂³	semidirect
210. C₂×D₄×D₁₇	C₂³	semidirect
211. C₂×D₄×D₁₇	C₂³	semidirect
212. C₂×D₄×D₁₇	C₂³	semidirect
213. C₂×D₄×D₁₇	C₂³	semidirect
214. C₂×D₄×D₁₇	C₂³	semidirect
215. C₂×D₄×D₁₇	C₂³	semidirect
216. C₂×#63252	C₂³	semidirect
217. C₂×#63252	C₂³	semidirect
218. C₂²×D₆₈	C₂³	semidirect
219. C₂²×D₆₈	C₂³	semidirect
220. C₂²×D₆₈	C₂³	semidirect
221. C₂²×D₆₈	C₂³	semidirect
228. C₁₇×#127	C₂³	semidirect
229. C₁₇×#127	C₂³	semidirect
230. C₁₇×#127	C₂³	semidirect
231. C₁₇×#127	C₂³	semidirect
232. C₁₇×#126	C₂³	semidirect
233. C₁₇×#125	C₂³	semidirect
234. C₁₇×#124	C₂³	semidirect
235. C₁₇×#124	C₂³	semidirect
236. C₁₇×#123	C₂³	semidirect
237. C₁₇×#123	C₂³	semidirect
238. C₁₇×#123	C₂³	semidirect
239. C₁₇×#123	C₂³	semidirect
240. C₁₇×C₂²⋊Q₈	C₂³	semidirect
242. C₁₇×#121	C₂³	semidirect
243. C₁₇×#121	C₂³	semidirect
244. C₁₇×#121	C₂³	semidirect
245. C₁₇×#121	C₂³	semidirect
246. C₁₇×#121	C₂³	semidirect
247. C₁₇×#121	C₂³	semidirect
248. C₁₇×#120	C₂³	semidirect
249. C₁₇×#120	C₂³	semidirect
250. C₁₇×#120	C₂³	semidirect
251. C₁₇×#120	C₂³	semidirect
252. C₄×Q₈×C₁₇	C₂³	semidirect
253. C₄×D₄×C₁₇	C₂³	semidirect
254. C₄×D₄×C₁₇	C₂³	semidirect
255. C₄×D₄×C₁₇	C₂³	semidirect
256. C₄×D₄×C₁₇	C₂³	semidirect
257. C₁₇×#117	C₂³	semidirect
258. C₂×C₂²⋊C₄×C₁₇	C₂³	semidirect
259. C₂×C₄²×C₁₇	C₂³	semidirect
260. #10587639	C₂³	semidirect
261. #10587639	C₂³	semidirect
262. #10587639	C₂³	semidirect
263. #10587639	C₂³	semidirect
264. C₂×C₂²⋊Dic₁₇	C₂³	semidirect
265. #10587633	C₂³	semidirect
266. #10587633	C₂³	semidirect
267. #10587632	C₂³	semidirect
268. Q₈×Dic₁₇	C₂³	semidirect
271. #10587626	C₂³	semidirect
272. #10587626	C₂³	semidirect
273. #10587626	C₂³	semidirect
274. #10587626	C₂³	semidirect
275. #10587626	C₂³	semidirect
276. #10587626	C₂³	semidirect
277. #10587626	C₂³	semidirect
278. #10587626	C₂³	semidirect
279. #10587626	C₂³	semidirect
280. #10587626	C₂³	semidirect
281. #10587626	C₂³	semidirect
282. #10587626	C₂³	semidirect
283. #10587626	C₂³	semidirect
285. #10587625	C₂³	semidirect
286. #10587625	C₂³	semidirect
287. #10587625	C₂³	semidirect
288. #10587625	C₂³	semidirect
289. #10587625	C₂³	semidirect
290. #10587625	C₂³	semidirect
291. #10587625	C₂³	semidirect
292. #10587625	C₂³	semidirect
293. #10587625	C₂³	semidirect
294. #10587625	C₂³	semidirect
296. #10587624	C₂³	semidirect
297. #10587624	C₂³	semidirect
298. #10587624	C₂³	semidirect
299. #10587624	C₂³	semidirect
300. #10587624	C₂³	semidirect
301. #10587624	C₂³	semidirect
302. #10587623	C₂³	semidirect
303. #10587623	C₂³	semidirect
304. #10587623	C₂³	semidirect
305. #10587623	C₂³	semidirect
306. #10587623	C₂³	semidirect
307. #10587623	C₂³	semidirect
308. #10587623	C₂³	semidirect
309. #10587623	C₂³	semidirect
310. #10587623	C₂³	semidirect
311. #10587623	C₂³	semidirect
312. #10587622	C₂³	semidirect
313. #10587622	C₂³	semidirect
314. #10587621	C₂³	semidirect
315. #10587621	C₂³	semidirect
316. #10587621	C₂³	semidirect
317. #10587621	C₂³	semidirect
318. D₄×Dic₁₇	C₂³	semidirect
319. D₄×Dic₁₇	C₂³	semidirect
320. D₄×Dic₁₇	C₂³	semidirect
321. D₄×Dic₁₇	C₂³	semidirect
323. #10587616	C₂³	semidirect
324. #10587616	C₂³	semidirect
325. #10587616	C₂³	semidirect
326. #10587616	C₂³	semidirect
327. #10587616	C₂³	semidirect
328. #10587616	C₂³	semidirect
329. #10587615	C₂³	semidirect
330. #10587615	C₂³	semidirect
331. #10587615	C₂³	semidirect
332. #10587615	C₂³	semidirect
333. C₄×C₂²⋊D₁₇	C₂³	semidirect
334. C₄×C₂²⋊D₁₇	C₂³	semidirect
335. C₄×C₂²⋊D₁₇	C₂³	semidirect
336. C₄×C₂²⋊D₁₇	C₂³	semidirect
337. C₄×C₂²⋊D₁₇	C₂³	semidirect
338. C₂×#63227	C₂³	semidirect
339. #10587612	C₂³	semidirect
340. #10587610	C₂³	semidirect
341. C₂×C₄×Dic₁₇	C₂³	semidirect
342. C₂×C₄×Dic₁₇	C₂³	semidirect
343. #10587584	C₂³	semidirect
344. #10587584	C₂³	semidirect
345. #10587584	C₂³	semidirect
346. #10587583	C₂³	semidirect
347. #10587582	C₂³	semidirect
349. #10587581	C₂³	semidirect
350. #10587581	C₂³	semidirect
351. #10587581	C₂³	semidirect
352. #10587581	C₂³	semidirect
353. #10587581	C₂³	semidirect
354. #10587581	C₂³	semidirect
355. #10587580	C₂³	semidirect
356. #10587580	C₂³	semidirect
357. #10587580	C₂³	semidirect
358. #10587580	C₂³	semidirect
359. #10587580	C₂³	semidirect
360. #10587580	C₂³	semidirect
361. #10587579	C₂³	semidirect
362. #10587579	C₂³	semidirect
363. #10587579	C₂³	semidirect
364. #10587579	C₂³	semidirect
365. #10587578	C₂³	semidirect
366. #10587578	C₂³	semidirect
373. #10587576	C₂³	semidirect
374. #10587576	C₂³	semidirect
375. #10587575	C₂³	semidirect
376. #10587575	C₂³	semidirect
377. #10587573	C₂³	semidirect
378. #10587573	C₂³	semidirect
379. #10587572	C₂³	semidirect
380. #10587572	C₂³	semidirect
381. #10587572	C₂³	semidirect
382. #10587572	C₂³	semidirect
383. #10587571	C₂³	semidirect
384. #10587571	C₂³	semidirect
385. #10587571	C₂³	semidirect
386. #10587571	C₂³	semidirect
388. #10587570	C₂³	semidirect
389. #10587570	C₂³	semidirect
390. #10587570	C₂³	semidirect
391. #10587570	C₂³	semidirect
392. #10587570	C₂³	semidirect
393. #10587570	C₂³	semidirect
394. #10587570	C₂³	semidirect
395. #10587570	C₂³	semidirect
396. #10587570	C₂³	semidirect
397. #10587570	C₂³	semidirect
398. #10587569	C₂³	semidirect
399. #10587569	C₂³	semidirect
400. #10587569	C₂³	semidirect
401. #10587569	C₂³	semidirect
402. #10587569	C₂³	semidirect
403. #10587569	C₂³	semidirect
404. #10587568	C₂³	semidirect
405. #10587568	C₂³	semidirect
406. #10587568	C₂³	semidirect
407. #10587568	C₂³	semidirect
408. #10587568	C₂³	semidirect
409. #10587568	C₂³	semidirect
410. #10587568	C₂³	semidirect
411. #10587568	C₂³	semidirect
412. #10587568	C₂³	semidirect
413. #10587568	C₂³	semidirect
414. #10587567	C₂³	semidirect
415. #10587567	C₂³	semidirect
416. #10587567	C₂³	semidirect
417. #10587567	C₂³	semidirect
418. #10587567	C₂³	semidirect
428. C₂²⋊C₄×D₁₇	C₂³	semidirect
429. C₂²⋊C₄×D₁₇	C₂³	semidirect
430. C₂²⋊C₄×D₁₇	C₂³	semidirect
431. #10587565	C₂³	semidirect
432. #10587565	C₂³	semidirect
433. #10587565	C₂³	semidirect
434. #10587564	C₂³	semidirect
435. #10587563	C₂³	semidirect
436. #10587563	C₂³	semidirect
437. #10587562	C₂³	semidirect
438. #10587561	C₂³	semidirect
439. #10587561	C₂³	semidirect
441. #10587560	C₂³	semidirect
442. #10587560	C₂³	semidirect
443. #10587560	C₂³	semidirect
444. #10587560	C₂³	semidirect
445. C₄×D₆₈	C₂³	semidirect
446. C₄×D₆₈	C₂³	semidirect
447. C₄×D₆₈	C₂³	semidirect
448. C₄×D₆₈	C₂³	semidirect
449. #10587558	C₂³	semidirect
450. #10587558	C₂³	semidirect
455. C₄²×D₁₇	C₂³	semidirect
456. C₄²×D₁₇	C₂³	semidirect
457. C₄²×D₁₇	C₂³	semidirect
458. #10587556	C₂³	semidirect
459. C₄×Dic₃₄	C₂³	semidirect
460. C₄×Dic₃₄	C₂³	semidirect
790. #3543	D₁₇	direct (N × H)
862. #560	C₂×D₁₇	semidirect
868. #559	C₂×D₁₇	semidirect
877. #550	C₂×D₁₇	semidirect
889. #546	C₂×D₁₇	semidirect
906. D₄²	C₂×D₁₇	semidirect
907. D₄²	C₂×D₁₇	semidirect
919. #540	C₂×D₁₇	semidirect
931. #535	C₂×D₁₇	semidirect
943. #534	C₂×D₁₇	semidirect
956. C₂×#127	C₂×D₁₇	semidirect
968. #529	C₂×D₁₇	semidirect
1007. D₁₇	#3543	direct (N × H)
1016. C₂×#41	C₂²×D₁₇	semidirect
1053. C₂²×D₄	C₂²×D₁₇	semidirect
1054. C₂²×D₄	C₂²×D₁₇	semidirect
1055. C₂²×D₄	C₂²×D₁₇	semidirect
1056. C₂²×D₄	C₂²×D₁₇	semidirect
1083. #127	C₂²×D₁₇	semidirect
1084. #127	C₂²×D₁₇	semidirect
1085. #127	C₂²×D₁₇	semidirect
1086. #127	C₂²×D₁₇	semidirect
1094. #126	C₂²×D₁₇	semidirect
1100. #125	C₂²×D₁₇	semidirect
1111. #124	C₂²×D₁₇	semidirect
1112. #124	C₂²×D₁₇	semidirect
1137. #123	C₂²×D₁₇	semidirect
1138. #123	C₂²×D₁₇	semidirect
1139. #123	C₂²×D₁₇	semidirect
1140. #123	C₂²×D₁₇	semidirect
1146. C₂²⋊Q₈	C₂²×D₁₇	semidirect
1191. #121	C₂²×D₁₇	semidirect
1192. #121	C₂²×D₁₇	semidirect
1193. #121	C₂²×D₁₇	semidirect
1194. #121	C₂²×D₁₇	semidirect
1195. #121	C₂²×D₁₇	semidirect
1196. #121	C₂²×D₁₇	semidirect
1221. #120	C₂²×D₁₇	semidirect
1222. #120	C₂²×D₁₇	semidirect
1223. #120	C₂²×D₁₇	semidirect
1224. #120	C₂²×D₁₇	semidirect
1230. C₄×Q₈	C₂²×D₁₇	semidirect
1253. C₄×D₄	C₂²×D₁₇	semidirect
1254. C₄×D₄	C₂²×D₁₇	semidirect
1255. C₄×D₄	C₂²×D₁₇	semidirect
1256. C₄×D₄	C₂²×D₁₇	semidirect
1264. #117	C₂²×D₁₇	semidirect
1285. C₂×C₂²⋊C₄	C₂²×D₁₇	semidirect
1295. C₂×C₄²	C₂²×D₁₇	semidirect
1296. C₁₇	C₂×#3543	semidirect

Maximal subgroups

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

subgroup	index
#14543118	2
#14543117	2
#14543116	2
#14543115	2
#14543114	2
#14543113	2
#14543112	2
#14543111	2
#14543110	2
#14543109	2
#14543108	2
D₁₇×#560	2
D₁₇×#559	2
D₁₇×#550	2
D₁₇×#546	2
D₄²×D₁₇	2
D₁₇×#540	2
D₁₇×#535	2
D₁₇×#534	2
C₂×#127×D₁₇	2
D₁₇×#529	2
C₁₇×#3543	2
C₂×#3543	17

Subgroups — D17×#3543 #17941907

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₇×#3543 #17941907