Subgroups — D₁₇×#3491 #17942370

Order 4352.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542483	C₂	1	1	yes	maximal, characteristic, complemented
2	#14542482	C₂	1	1	yes	maximal, characteristic, complemented
3	#14542481	C₂	1	1	yes	maximal, characteristic, complemented
4	#14542480	C₂	1	2	yes	maximal, complemented
5	#14542479	C₂	1	8	yes	maximal, complemented
6	#14542478	C₂	1	4	yes	maximal, complemented
7	#14542477	C₂	1	2	yes	maximal, complemented
8	#14542476	C₂	1	4	yes	maximal, complemented
9	#14542475	C₂	1	8	yes	maximal, complemented
10	D₁₇×#552	C₂	1	8	yes	maximal, complemented
11	D₁₇×#551	C₂	1	8	yes	maximal, complemented
12	D₁₇×#543	C₂	1	1	yes	maximal, characteristic, complemented
13	D₁₇×#539	C₂	1	4	yes	maximal, complemented
14	D₁₇×#534	C₂	1	1	yes	maximal, characteristic
15	D₁₇×#529	C₂	1	4	yes	maximal, complemented
16	C₂×#123×D₁₇	C₂	1	2	yes	maximal, complemented
17	D₁₇×#518	C₂	1	2	yes	maximal, complemented
18	C₂×#117×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₇×#3491	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×D₄×D₁₇	C₂²	1	2	yes	—
21	C₂³×C₄×D₁₇	C₂²	1	1	yes	characteristic
22	#11763501	C₂²	1	8	yes	complemented
23	#11763500	C₂²	1	8	yes	complemented
24	#11763499	C₂²	1	8	yes	complemented
25	#11763498	C₂²	1	8	yes	complemented
26	#11763497	C₂²	1	8	yes	complemented
27	#11763496	C₂²	1	8	yes	complemented
28	#11763496	C₂²	1	8	yes	complemented
29	#11763495	C₂²	1	8	yes	complemented
30	#11763495	C₂²	1	8	yes	complemented
31	#11763494	C₂²	1	8	yes	complemented
32	#11763493	C₂²	1	8	yes	complemented
33	#11763492	C₂²	1	8	yes	complemented
34	#11763492	C₂²	1	8	yes	complemented
35	#11763491	C₂²	1	8	yes	complemented
36	#11763491	C₂²	1	8	yes	complemented
37	#11763490	C₂²	1	8	yes	complemented
38	#11763489	C₂²	1	8	yes	complemented
39	#11763488	C₂²	1	8	yes	complemented
40	#11763488	C₂²	1	8	yes	complemented
41	#11763487	C₂²	1	8	yes	complemented
42	#11763486	C₂²	1	8	yes	complemented
43	#11763486	C₂²	1	8	yes	complemented
44	#11763485	C₂²	1	8	yes	complemented
45	#11763485	C₂²	1	8	yes	complemented
46	#11763484	C₂²	1	8	yes	complemented
47	#11763484	C₂²	1	8	yes	complemented
48	#11763483	C₂²	1	8	yes	complemented
49	#11763483	C₂²	1	8	yes	complemented
50	#11763482	C₂²	1	8	yes	complemented
51	#11763482	C₂²	1	8	yes	complemented
52	#11763435	C₂²	1	2	yes	complemented
53	#11763435	C₂²	1	1	yes	characteristic, complemented
54	#11763434	C₂²	1	8	yes	complemented
55	#11763434	C₂²	1	4	yes	complemented
56	#11763408	C₂²	1	4	yes	complemented
57	#11763407	C₂²	1	8	yes	complemented
58	#11763406	C₂²	1	4	yes	complemented
59	#11763405	C₂²	1	8	yes	complemented
60	#11763404	C₂²	1	4	yes	complemented
61	#11763403	C₂²	1	8	yes	complemented
62	#11763402	C₂²	1	8	yes	complemented
63	#11763401	C₂²	1	8	yes	complemented
64	#11763400	C₂²	1	8	yes	complemented
65	#11763371	C₂²	1	1	yes	characteristic
66	#11763370	C₂²	1	4	yes	—
67	#11763369	C₂²	1	4	yes	—
68	#11763368	C₂²	1	2	yes	—
69	#11763367	C₂²	1	4	yes	—
70	#11763346	C₂²	1	4	yes	complemented
71	#11763345	C₂²	1	4	yes	complemented
72	#11763344	C₂²	1	4	yes	complemented
73	#11763343	C₂²	1	4	yes	complemented
74	#11763342	C₂²	1	8	yes	complemented
75	#11763341	C₂²	1	4	yes	complemented
76	#11763340	C₂²	1	4	yes	complemented
77	#11763339	C₂²	1	8	yes	complemented
78	#11763338	C₂²	1	4	yes	complemented
79	#11763337	C₂²	1	8	yes	complemented
80	#11763336	C₂²	1	8	yes	complemented
81	#126×D₁₇	C₂²	1	8	yes	complemented
82	#126×D₁₇	C₂²	1	8	yes	complemented
83	#125×D₁₇	C₂²	1	8	yes	complemented
84	#125×D₁₇	C₂²	1	4	yes	complemented
85	#124×D₁₇	C₂²	1	4	yes	complemented
86	C₂×#10587580	C₂²	1	4	yes	complemented
87	C₂×#10587572	C₂²	1	2	yes	complemented
88	C₂×#10587615	C₂²	1	2	yes	complemented
89	C₂×#10587569	C₂²	1	4	yes	complemented
90	C₂×#10587621	C₂²	1	2	yes	complemented
91	#123×D₁₇	C₂²	1	4	yes	—
92	#123×D₁₇	C₂²	1	8	yes	—
93	#123×D₁₇	C₂²	1	8	yes	complemented
94	#123×D₁₇	C₂²	1	4	yes	complemented
95	#123×D₁₇	C₂²	1	8	yes	complemented
96	#123×D₁₇	C₂²	1	4	yes	complemented
97	#123×D₁₇	C₂²	1	4	yes	complemented
98	#123×D₁₇	C₂²	1	4	yes	complemented
99	C₂²⋊Q₈×D₁₇	C₂²	1	4	yes	complemented
100	C₂²⋊Q₈×D₁₇	C₂²	1	8	yes	complemented
101	C₂²⋊Q₈×D₁₇	C₂²	1	8	yes	complemented
102	#121×D₁₇	C₂²	1	4	yes	—
103	#120×D₁₇	C₂²	1	4	yes	—
104	#11763284	C₂²	1	2	yes	complemented
105	#11763283	C₂²	1	4	yes	complemented
106	#11763282	C₂²	1	4	yes	complemented
107	#11763282	C₂²	1	2	yes	complemented
108	#11763282	C₂²	1	2	yes	complemented
109	#11763281	C₂²	1	8	yes	complemented
110	#11763281	C₂²	1	8	yes	complemented
111	C₄×Q₈×D₁₇	C₂²	1	4	yes	complemented
112	C₄×D₄×D₁₇	C₂²	1	8	yes	—
113	C₄×D₄×D₁₇	C₂²	1	8	yes	complemented
114	C₄×D₄×D₁₇	C₂²	1	4	yes	complemented
115	C₂×#10587612	C₂²	1	1	yes	characteristic, complemented
116	C₂×#10587578	C₂²	1	2	yes	complemented
117	C₂×#10587558	C₂²	1	2	yes	complemented
118	C₂×#10587563	C₂²	1	1	yes	characteristic, complemented
119	C₂×#10587563	C₂²	1	1	yes	characteristic, complemented
120	#117×D₁₇	C₂²	1	8	yes	complemented
121	#117×D₁₇	C₂²	1	4	yes	complemented
122	#117×D₁₇	C₂²	1	8	yes	complemented
123	#117×D₁₇	C₂²	1	8	yes	complemented
124	C₂×C₄⋊C₄×D₁₇	C₂²	1	2	yes	complemented
125	C₂×C₄⋊C₄×D₁₇	C₂²	1	4	yes	complemented
126	C₂×C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
127	C₂×C₂²⋊C₄×D₁₇	C₂²	1	2	yes	—
128	C₂×C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
129	C₂×C₂²⋊C₄×D₁₇	C₂²	1	4	yes	complemented
130	C₂×C₂²⋊C₄×D₁₇	C₂²	1	4	yes	complemented
131	C₂×C₄²×D₁₇	C₂²	1	2	yes	complemented
132	C₁₇×#552	C₂²	1	8	yes	complemented
133	C₁₇×#551	C₂²	1	8	yes	complemented
134	C₁₇×#543	C₂²	1	1	yes	characteristic, complemented
135	C₁₇×#539	C₂²	1	4	yes	complemented
136	C₁₇×#534	C₂²	1	1	yes	characteristic
137	C₁₇×#529	C₂²	1	4	yes	complemented
138	C₂×C₁₇×#123	C₂²	1	2	yes	complemented
139	C₁₇×#518	C₂²	1	2	yes	complemented
140	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic, complemented
141	C₂⁴×D₁₇	C₂³	1	2	yes	—
142	C₂⁴×D₁₇	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₇	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
145	C₂²×C₂²⋊D₁₇	C₂³	1	2	yes	—
146	C₂²×C₂²⋊D₁₇	C₂³	1	2	yes	—
147	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
148	C₂×Q₈×D₁₇	C₂³	1	4	yes	—
149	C₂×D₄×D₁₇	—	2	16	no	—
150	C₂×D₄×D₁₇	C₂³	1	4	yes	—
151	C₂×D₄×D₁₇	C₂³	1	4	yes	—
152	C₂×D₄×D₁₇	C₂³	1	4	yes	—
153	C₂×D₄×D₁₇	C₂³	1	4	yes	—
154	C₂×D₄×D₁₇	C₂³	1	4	yes	—
155	C₂²×D₆₈	C₂³	1	2	yes	—
156	C₂²×C₄×D₁₇	—	2	8	no	—
157	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
158	C₂²×C₄×D₁₇	C₂³	1	4	yes	—
159	C₂²×C₄×D₁₇	C₂³	1	2	yes	—
160	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
161	C₂²×C₄×D₁₇	C₂³	1	4	yes	—
162	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
163	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₁₇	C₂³	1	2	yes	—
165	C₂²×C₄×D₁₇	C₂³	1	2	yes	—
166	C₂²×C₄×D₁₇	C₂³	1	4	yes	—
167	C₂²×C₄×D₁₇	C₂³	1	8	yes	—
168	C₁₇×#126	C₂³	1	8	yes	complemented
169	C₁₇×#126	C₂³	1	8	yes	complemented
170	C₁₇×#125	C₂³	1	4	yes	complemented
171	C₁₇×#125	C₂³	1	8	yes	complemented
172	C₁₇×#124	C₂³	1	4	yes	complemented
173	C₁₇×#123	C₂³	1	8	yes	—
174	C₁₇×#123	C₂³	1	4	yes	—
175	C₁₇×#123	C₂³	1	8	yes	complemented
176	C₁₇×#123	C₂³	1	4	yes	complemented
177	C₁₇×#123	C₂³	1	4	yes	complemented
178	C₁₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
179	C₁₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
180	C₁₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
181	C₁₇×#121	C₂³	1	4	yes	—
182	C₁₇×#120	C₂³	1	4	yes	—
183	C₄×Q₈×C₁₇	C₂³	1	4	yes	complemented
184	C₄×D₄×C₁₇	C₂³	1	8	yes	—
185	C₄×D₄×C₁₇	C₂³	1	8	yes	complemented
186	C₄×D₄×C₁₇	C₂³	1	4	yes	complemented
187	C₁₇×#117	C₂³	1	8	yes	complemented
188	C₁₇×#117	C₂³	1	4	yes	complemented
189	C₁₇×#117	C₂³	1	8	yes	complemented
190	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	complemented
191	C₂×C₄⋊C₄×C₁₇	C₂³	1	4	yes	complemented
192	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₇	C₂³	1	4	yes	complemented
196	C₂×C₂²⋊C₄×C₁₇	C₂³	1	4	yes	complemented
197	C₂×C₄²×C₁₇	C₂³	1	2	yes	complemented
198	#10587639	C₂³	1	4	yes	—
199	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊Dic₁₇	C₂³	1	2	yes	—
202	C₂×C₂²⋊Dic₁₇	C₂³	1	4	yes	complemented
203	C₂×C₂²⋊Dic₁₇	C₂³	1	4	yes	complemented
204	#10587633	C₂³	1	4	yes	complemented
205	#10587632	C₂³	1	8	yes	complemented
206	#10587632	C₂³	1	8	yes	complemented
207	#10587632	C₂³	1	4	yes	complemented
208	Q₈×Dic₁₇	C₂³	1	4	yes	complemented
209	#10587625	C₂³	1	8	yes	—
210	#10587624	C₂³	1	4	yes	—
211	#10587623	C₂³	1	4	yes	—
212	#10587623	C₂³	1	8	yes	—
213	#10587622	C₂³	1	4	yes	complemented
214	#10587621	C₂³	1	8	yes	—
215	#10587621	C₂³	1	4	yes	—
216	#10587621	C₂³	1	8	yes	complemented
217	#10587621	C₂³	1	4	yes	complemented
218	#10587621	C₂³	1	4	yes	complemented
219	D₄×Dic₁₇	C₂³	1	8	yes	—
220	D₄×Dic₁₇	C₂³	1	4	yes	complemented
221	D₄×Dic₁₇	C₂³	1	8	yes	complemented
222	#10587616	C₂³	1	4	yes	—
223	#10587615	C₂³	1	8	yes	—
224	#10587615	C₂³	1	4	yes	—
225	#10587615	C₂³	1	8	yes	complemented
226	#10587615	C₂³	1	4	yes	complemented
227	#10587615	C₂³	1	4	yes	complemented
228	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	—
229	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	—
230	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
231	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
232	C₄×C₂²⋊D₁₇	C₂³	1	8	yes	complemented
233	C₂×#63227	C₂³	1	2	yes	—
234	C₂×#63227	C₂³	1	2	yes	—
235	C₂×#63227	C₂³	1	4	yes	—
236	C₂×#63227	C₂³	1	4	yes	complemented
237	C₂×#63227	C₂³	1	8	yes	complemented
238	C₂×#63227	C₂³	1	4	yes	complemented
239	#10587612	C₂³	1	8	yes	complemented
240	#10587612	C₂³	1	8	yes	complemented
241	#10587612	C₂³	1	4	yes	complemented
242	C₂×C₄⋊Dic₁₇	C₂³	1	4	yes	complemented
243	C₂×C₄⋊Dic₁₇	C₂³	1	2	yes	complemented
244	#10587610	C₂³	1	8	yes	complemented
245	#10587610	C₂³	1	8	yes	complemented
246	#10587610	C₂³	1	4	yes	complemented
247	C₂×#63225	C₂³	1	4	yes	complemented
248	C₂×#63225	C₂³	1	4	yes	complemented
249	C₂×#63225	C₂³	1	2	yes	complemented
250	C₂×#63225	C₂³	1	2	yes	complemented
251	C₂×C₄×Dic₁₇	C₂³	1	2	yes	complemented
252	C₂×C₄×Dic₁₇	C₂³	1	2	yes	complemented
253	C₂×C₄×Dic₁₇	C₂³	1	2	yes	complemented
254	#10587584	C₂³	1	8	yes	complemented
255	#10587584	C₂³	1	8	yes	complemented
256	#10587584	C₂³	1	8	yes	complemented
257	#10587584	C₂³	1	8	yes	complemented
258	#10587584	C₂³	1	8	yes	complemented
259	#10587584	C₂³	1	8	yes	complemented
260	#10587583	C₂³	1	8	yes	complemented
261	#10587583	C₂³	1	8	yes	complemented
262	#10587583	C₂³	1	4	yes	complemented
263	#10587582	C₂³	1	8	yes	complemented
264	#10587582	C₂³	1	8	yes	complemented
265	#10587582	C₂³	1	8	yes	complemented
266	#10587582	C₂³	1	8	yes	complemented
267	#10587582	C₂³	1	8	yes	complemented
268	#10587581	C₂³	1	4	yes	—
269	#10587580	C₂³	1	8	yes	—
270	#10587580	C₂³	1	8	yes	—
271	#10587580	C₂³	1	8	yes	—
272	#10587580	C₂³	1	8	yes	complemented
273	#10587580	C₂³	1	8	yes	complemented
274	#10587580	C₂³	1	8	yes	complemented
275	#10587580	C₂³	1	8	yes	complemented
276	#10587579	C₂³	1	8	yes	—
277	#10587579	C₂³	1	4	yes	complemented
278	#10587579	C₂³	1	8	yes	complemented
279	#10587578	C₂³	1	8	yes	complemented
280	#10587578	C₂³	1	8	yes	complemented
281	#10587578	C₂³	1	8	yes	complemented
282	#10587578	C₂³	1	8	yes	complemented
283	#10587578	C₂³	1	8	yes	complemented
284	C₄⋊C₄×D₁₇	C₂³	1	8	yes	—
285	C₄⋊C₄×D₁₇	C₂³	1	8	yes	—
286	C₄⋊C₄×D₁₇	C₂³	1	8	yes	—
287	C₄⋊C₄×D₁₇	C₂³	1	8	yes	—
288	C₄⋊C₄×D₁₇	C₂³	1	8	yes	—
289	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
290	C₄⋊C₄×D₁₇	C₂³	1	4	yes	—
291	C₄⋊C₄×D₁₇	C₂³	1	8	yes	complemented
292	C₄⋊C₄×D₁₇	C₂³	1	8	yes	complemented
293	C₄⋊C₄×D₁₇	C₂³	1	8	yes	complemented
294	#10587576	C₂³	1	8	yes	complemented
295	#10587576	C₂³	1	4	yes	complemented
296	#10587576	C₂³	1	8	yes	complemented
297	#10587576	C₂³	1	4	yes	complemented
298	#10587575	C₂³	1	8	yes	complemented
299	#10587575	C₂³	1	8	yes	complemented
300	#10587575	C₂³	1	8	yes	complemented
301	#10587575	C₂³	1	8	yes	complemented
302	#10587575	C₂³	1	8	yes	complemented
303	#10587575	C₂³	1	8	yes	complemented
304	#10587573	C₂³	1	4	yes	complemented
305	#10587573	C₂³	1	8	yes	complemented
306	#10587572	C₂³	1	8	yes	—
307	#10587572	C₂³	1	4	yes	—
308	#10587572	C₂³	1	8	yes	complemented
309	#10587572	C₂³	1	4	yes	complemented
310	#10587572	C₂³	1	4	yes	complemented
311	#10587571	C₂³	1	8	yes	complemented
312	#10587571	C₂³	1	8	yes	complemented
313	#10587570	C₂³	1	8	yes	—
314	#10587569	C₂³	1	8	yes	—
315	#10587569	C₂³	1	8	yes	—
316	#10587569	C₂³	1	8	yes	—
317	#10587569	C₂³	1	8	yes	complemented
318	#10587569	C₂³	1	8	yes	complemented
319	#10587569	C₂³	1	8	yes	complemented
320	#10587569	C₂³	1	8	yes	complemented
321	#10587568	C₂³	1	4	yes	—
322	#10587568	C₂³	1	8	yes	—
323	#10587567	C₂³	1	8	yes	—
324	#10587567	C₂³	1	8	yes	—
325	#10587567	C₂³	1	8	yes	complemented
326	#10587567	C₂³	1	8	yes	complemented
327	#10587567	C₂³	1	8	yes	complemented
328	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
329	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
330	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
331	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
332	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
333	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
334	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
335	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	—
336	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
337	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
338	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
339	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	—
340	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	complemented
341	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	complemented
342	C₂²⋊C₄×D₁₇	C₂³	1	4	yes	complemented
343	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	complemented
344	C₂²⋊C₄×D₁₇	C₂³	1	8	yes	complemented
345	#10587565	C₂³	1	8	yes	complemented
346	#10587565	C₂³	1	8	yes	complemented
347	#10587565	C₂³	1	8	yes	complemented
348	#10587565	C₂³	1	8	yes	complemented
349	#10587565	C₂³	1	8	yes	complemented
350	#10587565	C₂³	1	8	yes	complemented
351	#10587564	C₂³	1	8	yes	complemented
352	#10587564	C₂³	1	8	yes	complemented
353	#10587564	C₂³	1	8	yes	complemented
354	#10587564	C₂³	1	8	yes	complemented
355	#10587564	C₂³	1	8	yes	complemented
356	#10587563	C₂³	1	8	yes	complemented
357	#10587563	C₂³	1	8	yes	complemented
358	#10587563	C₂³	1	8	yes	complemented
359	#10587563	C₂³	1	8	yes	complemented
360	#10587563	C₂³	1	4	yes	complemented
361	#10587563	C₂³	1	4	yes	complemented
362	#10587562	C₂³	1	8	yes	complemented
363	#10587562	C₂³	1	8	yes	complemented
364	#10587561	C₂³	1	4	yes	complemented
365	C₄×D₆₈	C₂³	1	8	yes	—
366	C₄×D₆₈	C₂³	1	4	yes	complemented
367	C₄×D₆₈	C₂³	1	8	yes	complemented
368	#10587558	C₂³	1	8	yes	complemented
369	#10587558	C₂³	1	8	yes	complemented
370	#10587558	C₂³	1	8	yes	complemented
371	#10587558	C₂³	1	8	yes	complemented
372	#10587558	C₂³	1	8	yes	complemented
373	C₄²×D₁₇	C₂³	1	4	yes	—
374	C₄²×D₁₇	C₂³	1	4	yes	—
375	C₄²×D₁₇	C₂³	1	8	yes	—
376	C₄²×D₁₇	C₂³	1	4	yes	complemented
377	C₄²×D₁₇	C₂³	1	4	yes	complemented
378	#10587556	C₂³	1	4	yes	complemented
379	#10587556	C₂³	1	8	yes	complemented
380	C₄×Dic₃₄	C₂³	1	4	yes	complemented
381	C₄×Dic₃₄	C₂³	1	8	yes	complemented
382	C₂⁴×C₁₇	C₂⁴	1	2	yes	—
383	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
384	C₂³×D₁₇	—	2	8	no	—
385	C₂³×D₁₇	—	4	4	no	—
386	C₂³×D₁₇	—	4	8	no	—
387	C₂³×D₁₇	#41	1	8	yes	—
388	C₂³×D₁₇	C₂⁴	1	4	yes	—
389	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
390	C₂³×D₁₇	C₂⁴	1	2	yes	—
391	C₂³×D₁₇	C₂⁴	1	2	yes	—
392	C₂³×D₁₇	C₂⁴	1	4	yes	—
393	C₂³×D₁₇	C₂⁴	1	2	yes	—
394	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
395	C₂×Q₈×C₁₇	C₂⁴	1	4	yes	—
396	C₂×D₄×C₁₇	—	2	8	no	—
397	C₂×D₄×C₁₇	C₂⁴	1	4	yes	—
398	C₂×D₄×C₁₇	C₂⁴	1	4	yes	—
399	C₂×D₄×C₁₇	C₂⁴	1	4	yes	—
400	C₂²×C₄×C₁₇	—	2	4	no	—
401	C₂²×C₄×C₁₇	C₂⁴	1	4	yes	—
402	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
403	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
406	C₂²×C₄×C₁₇	C₂⁴	1	4	yes	—
407	C₂²×C₄×C₁₇	C₂⁴	1	8	yes	—
408	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
409	C₂×C₂²⋊D₁₇	—	2	8	no	—
410	C₂×C₂²⋊D₁₇	—	2	8	no	—
411	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
412	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
413	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
414	C₂×C₂²⋊D₁₇	C₂⁴	1	4	yes	—
415	C₂×C₂²⋊D₁₇	C₂⁴	1	8	yes	—
416	C₂²×Dic₁₇	—	2	4	no	—
417	C₂²×Dic₁₇	C₂⁴	1	4	yes	—
418	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₁₇	C₂⁴	1	2	yes	—
421	C₂²×Dic₁₇	C₂⁴	1	8	yes	—
422	C₂²×Dic₁₇	C₂⁴	1	4	yes	—
423	C₂²×Dic₁₇	C₂⁴	1	2	yes	—
424	C₂²×Dic₁₇	C₂⁴	1	2	yes	—
425	Q₈×D₁₇	—	4	8	no	—
426	D₄×D₁₇	—	2	16	no	—
427	D₄×D₁₇	—	2	16	no	—
428	D₄×D₁₇	—	2	16	no	—
429	D₄×D₁₇	—	2	16	no	—
430	D₄×D₁₇	—	4	8	no	—
431	C₂×D₆₈	—	2	8	no	—
432	C₂×D₆₈	C₂⁴	1	4	yes	—
433	C₂×D₆₈	C₂⁴	1	4	yes	—
434	C₂×D₆₈	C₂⁴	1	4	yes	—
435	C₂×C₄×D₁₇	—	2	16	no	—
436	C₂×C₄×D₁₇	—	2	4	no	—
437	C₂×C₄×D₁₇	—	2	4	no	—
438	C₂×C₄×D₁₇	—	2	16	no	—
439	C₂×C₄×D₁₇	—	2	4	no	—
440	C₂×C₄×D₁₇	—	2	4	no	—
441	C₂×C₄×D₁₇	—	2	8	no	—
442	C₂×C₄×D₁₇	—	4	4	no	—
443	C₂×C₄×D₁₇	—	4	16	no	—
444	C₂×C₄×D₁₇	—	4	8	no	—
445	C₂×C₄×D₁₇	—	4	4	no	—
446	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
447	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
448	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
449	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
450	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
451	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
452	C₂×C₄×D₁₇	C₂⁴	1	2	yes	—
453	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
454	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
455	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
456	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
457	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
458	C₂×C₄×D₁₇	C₂⁴	1	4	yes	—
459	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
460	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
461	C₂×C₄×D₁₇	C₂⁴	1	8	yes	—
462	C₂×Dic₃₄	C₂⁴	1	4	yes	—
463	C₂×Dic₃₄	C₂⁴	1	8	yes	—
464	C₄⋊C₄×C₁₇	C₂⁴	1	8	yes	—
465	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
466	C₄⋊C₄×C₁₇	C₂⁴	1	8	yes	—
467	C₄⋊C₄×C₁₇	C₂⁴	1	8	yes	—
468	C₄⋊C₄×C₁₇	C₂⁴	1	8	yes	—
469	C₄⋊C₄×C₁₇	C₂⁴	1	4	yes	—
470	C₄⋊C₄×C₁₇	C₂⁴	1	8	yes	—
471	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
472	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
473	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
474	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
475	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
476	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
477	C₂²⋊C₄×C₁₇	C₂⁴	1	8	yes	—
478	C₂²⋊C₄×C₁₇	C₂⁴	1	4	yes	—
479	C₄²×C₁₇	C₂⁴	1	4	yes	—
480	C₄²×C₁₇	C₂⁴	1	8	yes	—
481	C₄²×C₁₇	C₂⁴	1	4	yes	—
482	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
483	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
484	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
485	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
486	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
487	C₂²⋊Dic₁₇	C₂⁴	1	4	yes	—
488	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
489	C₂²⋊Dic₁₇	C₂⁴	1	8	yes	—
490	#63227	C₂⁴	1	8	yes	—
491	#63227	C₂⁴	1	8	yes	—
492	#63227	C₂⁴	1	8	yes	—
493	#63227	C₂⁴	1	8	yes	—
494	#63227	C₂⁴	1	8	yes	—
495	#63227	C₂⁴	1	8	yes	—
496	#63227	C₂⁴	1	8	yes	—
497	#63227	C₂⁴	1	8	yes	—
498	#63227	C₂⁴	1	8	yes	—
499	#63227	C₂⁴	1	8	yes	—
500	#63227	C₂⁴	1	8	yes	—
501	#63227	C₂⁴	1	8	yes	—
502	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
503	C₄⋊Dic₁₇	C₂⁴	1	8	yes	—
504	C₄⋊Dic₁₇	C₂⁴	1	4	yes	—
505	C₄⋊Dic₁₇	C₂⁴	1	8	yes	—
506	C₄⋊Dic₁₇	C₂⁴	1	8	yes	—
507	C₄⋊Dic₁₇	C₂⁴	1	8	yes	—
508	C₄⋊Dic₁₇	C₂⁴	1	8	yes	—
509	#63225	C₂⁴	1	8	yes	—
510	#63225	C₂⁴	1	8	yes	—
511	#63225	C₂⁴	1	8	yes	—
512	#63225	C₂⁴	1	8	yes	—
513	#63225	C₂⁴	1	8	yes	—
514	#63225	C₂⁴	1	8	yes	—
515	#63225	C₂⁴	1	8	yes	—
516	#63225	C₂⁴	1	8	yes	—
517	#63225	C₂⁴	1	8	yes	—
518	#63225	C₂⁴	1	8	yes	—
519	#63225	C₂⁴	1	8	yes	—
520	#63225	C₂⁴	1	8	yes	—
521	C₄×Dic₁₇	C₂⁴	1	4	yes	—
522	C₄×Dic₁₇	C₂⁴	1	8	yes	—
523	C₄×Dic₁₇	C₂⁴	1	4	yes	—
524	C₄×Dic₁₇	C₂⁴	1	4	yes	—
525	C₄×Dic₁₇	C₂⁴	1	4	yes	—
526	C₄×Dic₁₇	C₂⁴	1	4	yes	—
527	C₄×Dic₁₇	C₂⁴	1	4	yes	—
528	C₄×Dic₁₇	C₂⁴	1	8	yes	—
529	C₄×Dic₁₇	C₂⁴	1	8	yes	—
530	C₂×#3491	—	17	1	no	maximal, Sylow
531	C₂³×C₁₇	—	2	4	no	—
532	C₂³×C₁₇	—	4	2	no	—
533	C₂³×C₁₇	—	4	4	no	—
534	C₂³×C₁₇	C₂×#41	1	4	yes	—
535	C₂³×C₁₇	C₂⁵	1	4	yes	—
536	C₂³×C₁₇	C₂⁵	1	2	yes	—
537	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
538	C₂²×D₁₇	—	2	4	no	—
539	C₂²×D₁₇	—	2	8	no	—
540	C₂²×D₁₇	—	2	4	no	—
541	C₂²×D₁₇	—	2	8	no	—
542	C₂²×D₁₇	—	2	16	no	—
543	C₂²×D₁₇	—	2	8	no	—
544	C₂²×D₁₇	—	4	16	no	—
545	C₂²×D₁₇	—	4	4	no	—
546	C₂²×D₁₇	—	4	2	no	—
547	C₂²×D₁₇	—	4	8	no	—
548	C₂²×D₁₇	—	4	4	no	—
549	C₂²×D₁₇	—	8	16	no	—
550	C₂²×D₁₇	C₂×#41	1	8	yes	—
551	C₂²×D₁₇	C₂×#41	1	4	yes	—
552	C₂²×D₁₇	C₂×#41	1	8	yes	—
553	C₂²×D₁₇	C₂×#41	1	4	yes	—
554	C₂²×D₁₇	C₂⁵	1	4	yes	—
555	C₂²×D₁₇	C₂⁵	1	1	yes	characteristic
556	C₂²×D₁₇	C₂⁵	1	2	yes	—
557	C₂²×D₁₇	C₂⁵	1	1	yes	characteristic
558	Q₈×C₁₇	—	4	4	no	—
559	D₄×C₁₇	—	2	8	no	—
560	D₄×C₁₇	—	2	8	no	—
561	D₄×C₁₇	—	4	4	no	—
562	C₂×C₄×C₁₇	—	2	8	no	—
563	C₂×C₄×C₁₇	—	2	2	no	—
564	C₂×C₄×C₁₇	—	2	2	no	—
565	C₂×C₄×C₁₇	—	2	4	no	—
566	C₂×C₄×C₁₇	—	4	4	no	—
567	C₂×C₄×C₁₇	—	4	8	no	—
568	C₂×C₄×C₁₇	—	4	2	no	—
569	C₂×C₄×C₁₇	—	4	2	no	—
570	C₂×C₄×C₁₇	C₂⁵	1	2	yes	—
571	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
572	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
573	C₂×C₄×C₁₇	C₂⁵	1	4	yes	—
574	C₂×C₄×C₁₇	C₂⁵	1	8	yes	—
575	C₂×C₄×C₁₇	C₂⁵	1	2	yes	—
576	C₂²⋊D₁₇	—	2	8	no	—
577	C₂²⋊D₁₇	—	2	8	no	—
578	C₂²⋊D₁₇	—	2	8	no	—
579	C₂²⋊D₁₇	—	2	8	no	—
580	C₂²⋊D₁₇	—	4	8	no	—
581	C₂×Dic₁₇	—	2	8	no	—
582	C₂×Dic₁₇	—	2	2	no	—
583	C₂×Dic₁₇	—	2	2	no	—
584	C₂×Dic₁₇	—	2	4	no	—
585	C₂×Dic₁₇	—	4	4	no	—
586	C₂×Dic₁₇	—	4	8	no	—
587	C₂×Dic₁₇	—	4	2	no	—
588	C₂×Dic₁₇	—	4	2	no	—
589	C₂×Dic₁₇	C₂⁵	1	8	yes	—
590	C₂×Dic₁₇	C₂⁵	1	4	yes	—
591	C₂×Dic₁₇	C₂⁵	1	2	yes	—
592	C₂×Dic₁₇	C₂⁵	1	4	yes	—
593	C₂×Dic₁₇	C₂⁵	1	2	yes	—
594	C₂×Dic₁₇	C₂⁵	1	4	yes	—
595	D₆₈	—	2	8	no	—
596	D₆₈	—	2	8	no	—
597	D₆₈	—	4	4	no	—
598	C₄×D₁₇	—	2	8	no	—
599	C₄×D₁₇	—	2	8	no	—
600	C₄×D₁₇	—	2	4	no	—
601	C₄×D₁₇	—	2	4	no	—
602	C₄×D₁₇	—	2	4	no	—
603	C₄×D₁₇	—	2	4	no	—
604	C₄×D₁₇	—	2	8	no	—
605	C₄×D₁₇	—	2	8	no	—
606	C₄×D₁₇	—	2	8	no	—
607	C₄×D₁₇	—	2	16	no	—
608	C₄×D₁₇	—	2	8	no	—
609	C₄×D₁₇	—	4	8	no	—
610	C₄×D₁₇	—	4	8	no	—
611	C₄×D₁₇	—	4	4	no	—
612	C₄×D₁₇	—	4	8	no	—
613	C₄×D₁₇	—	4	4	no	—
614	Dic₃₄	—	4	4	no	—
615	Dic₃₄	—	4	8	no	—
616	#3491	—	17	8	no	—
617	#3491	—	17	8	no	—
618	#3491	—	17	1	no	—
619	#3491	—	17	4	no	—
620	#3491	—	17	1	no	—
621	#3491	—	17	4	no	—
622	#3491	—	17	2	no	—
623	#3491	—	17	2	no	—
624	#3491	—	17	1	no	—
625	#3491	D₁₇	1	1	yes	characteristic, direct product factor
626	C₂×#552	—	17	8	no	—
627	C₂×#551	—	17	8	no	—
628	C₂×#543	—	17	1	no	—
629	C₂×#539	—	17	4	no	—
630	C₂×#534	—	17	1	no	—
631	C₂×#529	—	17	4	no	—
632	C₂²×#123	—	17	2	no	—
633	C₂×#518	—	17	2	no	—
634	C₂²×#117	—	17	1	no	—
635	C₂²×C₁₇	—	2	2	no	—
636	C₂²×C₁₇	—	2	4	no	—
637	C₂²×C₁₇	—	2	4	no	—
638	C₂²×C₁₇	—	2	8	no	—
639	C₂²×C₁₇	—	4	4	no	—
640	C₂²×C₁₇	—	8	4	no	—
641	C₂²×C₁₇	C₂²×#41	1	4	yes	—
642	C₂²×C₁₇	C₂²×#41	1	2	yes	—
643	C₂²×C₁₇	C₂⁶	1	1	yes	characteristic
644	C₂×D₁₇	—	2	2	no	—
645	C₂×D₁₇	—	2	4	no	—
646	C₂×D₁₇	—	2	16	no	—
647	C₂×D₁₇	—	2	8	no	—
648	C₂×D₁₇	—	2	4	no	—
649	C₂×D₁₇	—	2	8	no	—
650	C₂×D₁₇	—	4	4	no	—
651	C₂×D₁₇	—	4	8	no	—
652	C₂×D₁₇	—	4	16	no	—
653	C₂×D₁₇	—	8	8	no	—
654	C₂×D₁₇	—	8	4	no	—
655	C₂×D₁₇	C₂²×#41	1	4	yes	—
656	C₂×D₁₇	C₂²×#41	1	2	yes	—
657	C₂×D₁₇	C₂²×#41	1	2	yes	—
658	C₂×D₁₇	#585	1	4	yes	—
659	C₄×C₁₇	—	2	2	no	—
660	C₄×C₁₇	—	2	2	no	—
661	C₄×C₁₇	—	2	4	no	—
662	C₄×C₁₇	—	2	8	no	—
663	C₄×C₁₇	—	2	4	no	—
664	C₄×C₁₇	—	2	4	no	—
665	Dic₁₇	—	2	2	no	—
666	Dic₁₇	—	2	2	no	—
667	Dic₁₇	—	2	4	no	—
668	Dic₁₇	—	2	8	no	—
669	Dic₁₇	—	2	4	no	—
670	Dic₁₇	—	2	4	no	—
671	C₂³×D₄	—	17	2	no	—
672	C₂⁴×C₄	—	17	1	no	—
673	#552	—	17	8	no	—
674	#552	—	17	8	no	—
675	#552	—	17	8	no	—
676	#552	—	17	8	no	—
677	#552	—	17	8	no	—
678	#552	—	17	8	no	—
679	#552	—	17	8	no	—
680	#552	—	17	8	no	—
681	#552	—	17	8	no	—
682	#552	—	17	8	no	—
683	#552	—	17	8	no	—
684	#552	—	17	8	no	—
685	#552	—	17	8	no	—
686	#552	—	17	8	no	—
687	#552	—	17	8	no	—
688	#552	C₂×D₁₇	1	8	yes	complemented
689	#551	—	17	8	no	—
690	#551	—	17	8	no	—
691	#551	—	17	8	no	—
692	#551	—	17	8	no	—
693	#551	—	17	8	no	—
694	#551	—	17	8	no	—
695	#551	—	17	8	no	—
696	#551	—	17	8	no	—
697	#551	—	17	8	no	—
698	#551	—	17	8	no	—
699	#551	—	17	8	no	—
700	#551	—	17	8	no	—
701	#551	—	17	8	no	—
702	#551	—	17	8	no	—
703	#551	—	17	8	no	—
704	#551	C₂×D₁₇	1	8	yes	complemented
705	#543	—	17	4	no	—
706	#543	—	17	8	no	—
707	#543	—	17	2	no	—
708	#543	—	17	1	no	—
709	#543	C₂×D₁₇	1	1	yes	characteristic, complemented
710	#539	—	17	8	no	—
711	#539	—	17	8	no	—
712	#539	—	17	8	no	—
713	#539	—	17	8	no	—
714	#539	—	17	8	no	—
715	#539	—	17	4	no	—
716	#539	—	17	4	no	—
717	#539	—	17	8	no	—
718	#539	—	17	4	no	—
719	#539	C₂×D₁₇	1	4	yes	complemented
720	#534	—	17	2	no	—
721	#534	—	17	4	no	—
722	#534	—	17	4	no	—
723	#534	—	17	4	no	—
724	#534	—	17	1	no	—
725	#534	C₂×D₁₇	1	1	yes	characteristic
726	#529	—	17	8	no	—
727	#529	—	17	4	no	—
728	#529	—	17	4	no	—
729	#529	—	17	8	no	—
730	#529	—	17	4	no	—
731	#529	—	17	4	no	—
732	#529	—	17	4	no	—
733	#529	—	17	8	no	—
734	#529	—	17	4	no	—
735	#529	—	17	8	no	—
736	#529	—	17	4	no	—
737	#529	C₂×D₁₇	1	4	yes	complemented
738	C₂×#126	—	17	8	no	—
739	C₂×#126	—	17	8	no	—
740	C₂×#125	—	17	4	no	—
741	C₂×#125	—	17	8	no	—
742	C₂×#124	—	17	4	no	—
743	C₂×#123	—	17	2	no	—
744	C₂×#123	—	17	2	no	—
745	C₂×#123	—	17	8	no	—
746	C₂×#123	—	17	8	no	—
747	C₂×#123	—	17	4	no	—
748	C₂×#123	—	17	4	no	—
749	C₂×#123	—	17	4	no	—
750	C₂×#123	—	17	4	no	—
751	C₂×#123	—	17	4	no	—
752	C₂×#123	—	17	8	no	—
753	C₂×#123	—	17	4	no	—
754	C₂×#123	—	17	2	no	—
755	C₂×#123	—	17	4	no	—
756	C₂×#123	C₂×D₁₇	1	2	yes	complemented
757	C₂×C₂²⋊Q₈	—	17	4	no	—
758	C₂×C₂²⋊Q₈	—	17	8	no	—
759	C₂×C₂²⋊Q₈	—	17	8	no	—
760	C₂×#121	—	17	4	no	—
761	C₂×#120	—	17	4	no	—
762	#518	—	17	2	no	—
763	#518	—	17	8	no	—
764	#518	—	17	8	no	—
765	#518	—	17	4	no	—
766	#518	—	17	2	no	—
767	#518	—	17	2	no	—
768	#518	—	17	4	no	—
769	#518	C₂×D₁₇	1	2	yes	complemented
770	C₂×C₄×Q₈	—	17	4	no	—
771	C₂×C₄×D₄	—	17	8	no	—
772	C₂×C₄×D₄	—	17	8	no	—
773	C₂×C₄×D₄	—	17	4	no	—
774	C₂×#117	—	17	1	no	—
775	C₂×#117	—	17	8	no	—
776	C₂×#117	—	17	8	no	—
777	C₂×#117	—	17	4	no	—
778	C₂×#117	—	17	8	no	—
779	C₂×#117	—	17	2	no	—
780	C₂×#117	—	17	1	no	—
781	C₂×#117	—	17	1	no	—
782	C₂×#117	—	17	2	no	—
783	C₂×#117	C₂×D₁₇	1	1	yes	characteristic, complemented
784	C₂²×C₄⋊C₄	—	17	2	no	—
785	C₂²×C₄⋊C₄	—	17	4	no	—
786	C₂²×C₂²⋊C₄	—	17	1	no	—
787	C₂²×C₂²⋊C₄	—	17	1	no	—
788	C₂²×C₂²⋊C₄	—	17	2	no	—
789	C₂²×C₂²⋊C₄	—	17	4	no	—
790	C₂²×C₂²⋊C₄	—	17	4	no	—
791	C₂²×C₄²	—	17	2	no	—
792	C₂×C₁₇	—	2	4	no	—
793	C₂×C₁₇	—	2	2	no	—
794	C₂×C₁₇	—	4	4	no	—
795	C₂×C₁₇	C₂³×#41	1	1	yes	characteristic
796	C₂×C₁₇	C₂×#585	1	2	yes	—
797	D₁₇	—	2	4	no	—
798	D₁₇	—	2	2	no	—
799	D₁₇	—	4	4	no	—
800	D₁₇	#3491	1	4	yes	direct product factor
801	C₂⁵	—	17	1	no	—
802	C₂⁵	—	17	2	no	—
803	C₂²×Q₈	—	17	4	no	—
804	C₂²×D₄	—	17	2	no	—
805	C₂²×D₄	—	17	2	no	—
806	C₂²×D₄	—	17	4	no	—
807	C₂²×D₄	—	17	4	no	—
808	C₂²×D₄	—	17	4	no	—
809	C₂²×D₄	—	17	4	no	—
810	C₂²×D₄	—	17	4	no	—
811	C₂²×D₄	—	17	2	no	—
812	C₂²×D₄	—	34	16	no	—
813	C₂²×D₄	C₂²×D₁₇	1	2	yes	—
814	C₂³×C₄	—	17	1	no	—
815	C₂³×C₄	—	17	4	no	—
816	C₂³×C₄	—	17	2	no	—
817	C₂³×C₄	—	17	1	no	—
818	C₂³×C₄	—	17	1	no	—
819	C₂³×C₄	—	17	4	no	—
820	C₂³×C₄	—	17	1	no	—
821	C₂³×C₄	—	17	1	no	—
822	C₂³×C₄	—	17	4	no	—
823	C₂³×C₄	—	17	2	no	—
824	C₂³×C₄	—	17	2	no	—
825	C₂³×C₄	—	17	8	no	—
826	C₂³×C₄	—	34	8	no	—
827	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
828	#126	—	17	8	no	—
829	#126	—	17	8	no	—
830	#126	—	17	8	no	—
831	#126	—	17	8	no	—
832	#126	—	17	8	no	—
833	#126	—	17	8	no	—
834	#126	—	17	8	no	—
835	#126	—	17	8	no	—
836	#126	—	17	8	no	—
837	#126	—	17	8	no	—
838	#126	—	17	8	no	—
839	#126	—	17	8	no	—
840	#126	—	17	8	no	—
841	#126	—	17	8	no	—
842	#126	C₂²×D₁₇	1	8	yes	complemented
843	#126	C₂²×D₁₇	1	8	yes	complemented
844	#125	—	17	8	no	—
845	#125	—	17	8	no	—
846	#125	—	17	4	no	—
847	#125	—	17	4	no	—
848	#125	—	17	8	no	—
849	#125	—	17	8	no	—
850	#125	—	17	8	no	—
851	#125	—	17	8	no	—
852	#125	—	17	8	no	—
853	#125	—	17	8	no	—
854	#125	—	17	4	no	—
855	#125	—	17	8	no	—
856	#125	C₂²×D₁₇	1	4	yes	complemented
857	#125	C₂²×D₁₇	1	8	yes	complemented
858	#124	—	17	4	no	—
859	#124	—	17	4	no	—
860	#124	—	17	8	no	—
861	#124	—	17	8	no	—
862	#124	—	17	4	no	—
863	#124	C₂²×D₁₇	1	4	yes	complemented
864	#123	—	17	4	no	—
865	#123	—	17	4	no	—
866	#123	—	17	8	no	—
867	#123	—	17	4	no	—
868	#123	—	17	8	no	—
869	#123	—	17	4	no	—
870	#123	—	17	4	no	—
871	#123	—	17	8	no	—
872	#123	—	17	4	no	—
873	#123	—	17	8	no	—
874	#123	—	17	8	no	—
875	#123	—	17	8	no	—
876	#123	—	17	8	no	—
877	#123	—	17	8	no	—
878	#123	—	17	8	no	—
879	#123	—	17	8	no	—
880	#123	—	17	8	no	—
881	#123	—	17	8	no	—
882	#123	—	17	4	no	—
883	#123	—	17	8	no	—
884	#123	—	17	4	no	—
885	#123	—	17	8	no	—
886	#123	—	17	8	no	—
887	#123	—	17	8	no	—
888	#123	—	17	8	no	—
889	#123	—	17	4	no	—
890	#123	—	17	8	no	—
891	#123	—	17	8	no	—
892	#123	—	17	8	no	—
893	#123	C₂²×D₁₇	1	8	yes	—
894	#123	C₂²×D₁₇	1	4	yes	—
895	#123	C₂²×D₁₇	1	4	yes	complemented
896	#123	C₂²×D₁₇	1	4	yes	complemented
897	#123	C₂²×D₁₇	1	8	yes	complemented
898	C₂²⋊Q₈	—	17	4	no	—
899	C₂²⋊Q₈	—	17	8	no	—
900	C₂²⋊Q₈	—	17	8	no	—
901	C₂²⋊Q₈	—	17	4	no	—
902	C₂²⋊Q₈	—	17	8	no	—
903	C₂²⋊Q₈	—	17	8	no	—
904	C₂²⋊Q₈	—	17	8	no	—
905	C₂²⋊Q₈	—	17	4	no	—
906	C₂²⋊Q₈	—	17	8	no	—
907	C₂²⋊Q₈	—	17	8	no	—
908	C₂²⋊Q₈	—	17	8	no	—
909	C₂²⋊Q₈	—	17	8	no	—
910	C₂²⋊Q₈	—	17	8	no	—
911	C₂²⋊Q₈	—	17	8	no	—
912	C₂²⋊Q₈	—	17	8	no	—
913	C₂²⋊Q₈	—	17	8	no	—
914	C₂²⋊Q₈	—	17	8	no	—
915	C₂²⋊Q₈	—	17	8	no	—
916	C₂²⋊Q₈	—	17	8	no	—
917	C₂²⋊Q₈	C₂²×D₁₇	1	4	yes	complemented
918	C₂²⋊Q₈	C₂²×D₁₇	1	8	yes	complemented
919	C₂²⋊Q₈	C₂²×D₁₇	1	8	yes	complemented
920	#121	—	17	4	no	—
921	#121	—	17	8	no	—
922	#121	—	17	4	no	—
923	#121	—	17	4	no	—
924	#121	—	17	8	no	—
925	#121	C₂²×D₁₇	1	4	yes	—
926	#120	—	17	4	no	—
927	#120	—	17	4	no	—
928	#120	—	17	8	no	—
929	#120	—	17	8	no	—
930	#120	—	17	4	no	—
931	#120	C₂²×D₁₇	1	4	yes	—
932	C₄×Q₈	—	17	4	no	—
933	C₄×Q₈	—	17	4	no	—
934	C₄×Q₈	—	17	8	no	—
935	C₄×Q₈	—	17	8	no	—
936	C₄×Q₈	—	17	4	no	—
937	C₄×Q₈	C₂²×D₁₇	1	4	yes	complemented
938	C₄×D₄	—	17	8	no	—
939	C₄×D₄	—	17	8	no	—
940	C₄×D₄	—	17	4	no	—
941	C₄×D₄	—	17	8	no	—
942	C₄×D₄	—	17	8	no	—
943	C₄×D₄	—	17	8	no	—
944	C₄×D₄	—	17	8	no	—
945	C₄×D₄	—	17	8	no	—
946	C₄×D₄	—	17	8	no	—
947	C₄×D₄	—	17	8	no	—
948	C₄×D₄	—	17	4	no	—
949	C₄×D₄	—	17	8	no	—
950	C₄×D₄	—	17	8	no	—
951	C₄×D₄	—	17	8	no	—
952	C₄×D₄	—	17	8	no	—
953	C₄×D₄	—	17	8	no	—
954	C₄×D₄	—	17	8	no	—
955	C₄×D₄	—	17	8	no	—
956	C₄×D₄	—	17	4	no	—
957	C₄×D₄	C₂²×D₁₇	1	8	yes	—
958	C₄×D₄	C₂²×D₁₇	1	8	yes	complemented
959	C₄×D₄	C₂²×D₁₇	1	4	yes	complemented
960	#117	—	17	8	no	—
961	#117	—	17	4	no	—
962	#117	—	17	8	no	—
963	#117	—	17	8	no	—
964	#117	—	17	8	no	—
965	#117	—	17	8	no	—
966	#117	—	17	8	no	—
967	#117	—	17	8	no	—
968	#117	—	17	8	no	—
969	#117	—	17	8	no	—
970	#117	—	17	4	no	—
971	#117	—	17	4	no	—
972	#117	—	17	8	no	—
973	#117	—	17	8	no	—
974	#117	—	17	8	no	—
975	#117	—	17	8	no	—
976	#117	—	17	8	no	—
977	#117	—	17	8	no	—
978	#117	—	17	8	no	—
979	#117	C₂²×D₁₇	1	8	yes	complemented
980	#117	C₂²×D₁₇	1	4	yes	complemented
981	#117	C₂²×D₁₇	1	8	yes	complemented
982	C₂×C₄⋊C₄	—	17	2	no	—
983	C₂×C₄⋊C₄	—	17	2	no	—
984	C₂×C₄⋊C₄	—	17	2	no	—
985	C₂×C₄⋊C₄	—	17	4	no	—
986	C₂×C₄⋊C₄	—	17	4	no	—
987	C₂×C₄⋊C₄	—	17	4	no	—
988	C₂×C₄⋊C₄	—	17	8	no	—
989	C₂×C₄⋊C₄	—	17	8	no	—
990	C₂×C₄⋊C₄	—	17	8	no	—
991	C₂×C₄⋊C₄	—	17	8	no	—
992	C₂×C₄⋊C₄	—	17	8	no	—
993	C₂×C₄⋊C₄	—	17	8	no	—
994	C₂×C₄⋊C₄	—	17	8	no	—
995	C₂×C₄⋊C₄	—	17	8	no	—
996	C₂×C₄⋊C₄	—	17	4	no	—
997	C₂×C₄⋊C₄	—	17	4	no	—
998	C₂×C₄⋊C₄	C₂²×D₁₇	1	2	yes	complemented
999	C₂×C₄⋊C₄	C₂²×D₁₇	1	4	yes	complemented
1000	C₂×C₂²⋊C₄	—	17	1	no	—
1001	C₂×C₂²⋊C₄	—	17	1	no	—
1002	C₂×C₂²⋊C₄	—	17	2	no	—
1003	C₂×C₂²⋊C₄	—	17	4	no	—
1004	C₂×C₂²⋊C₄	—	17	4	no	—
1005	C₂×C₂²⋊C₄	—	17	2	no	—
1006	C₂×C₂²⋊C₄	—	17	2	no	—
1007	C₂×C₂²⋊C₄	—	17	4	no	—
1008	C₂×C₂²⋊C₄	—	17	8	no	—
1009	C₂×C₂²⋊C₄	—	17	4	no	—
1010	C₂×C₂²⋊C₄	—	17	4	no	—
1011	C₂×C₂²⋊C₄	—	17	4	no	—
1012	C₂×C₂²⋊C₄	—	17	4	no	—
1013	C₂×C₂²⋊C₄	—	17	4	no	—
1014	C₂×C₂²⋊C₄	—	17	4	no	—
1015	C₂×C₂²⋊C₄	—	17	4	no	—
1016	C₂×C₂²⋊C₄	—	17	8	no	—
1017	C₂×C₂²⋊C₄	—	17	4	no	—
1018	C₂×C₂²⋊C₄	—	17	8	no	—
1019	C₂×C₂²⋊C₄	—	17	4	no	—
1020	C₂×C₂²⋊C₄	—	17	4	no	—
1021	C₂×C₂²⋊C₄	—	17	4	no	—
1022	C₂×C₂²⋊C₄	—	17	4	no	—
1023	C₂×C₂²⋊C₄	—	17	8	no	—
1024	C₂×C₂²⋊C₄	—	17	8	no	—
1025	C₂×C₂²⋊C₄	—	17	8	no	—
1026	C₂×C₂²⋊C₄	—	17	8	no	—
1027	C₂×C₂²⋊C₄	—	17	8	no	—
1028	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₁₇	1	2	yes	—
1031	C₂×C₂²⋊C₄	C₂²×D₁₇	1	4	yes	complemented
1032	C₂×C₂²⋊C₄	C₂²×D₁₇	1	4	yes	complemented
1033	C₂×C₄²	—	17	2	no	—
1034	C₂×C₄²	—	17	2	no	—
1035	C₂×C₄²	—	17	2	no	—
1036	C₂×C₄²	—	17	4	no	—
1037	C₂×C₄²	—	17	8	no	—
1038	C₂×C₄²	—	17	4	no	—
1039	C₂×C₄²	—	17	4	no	—
1040	C₂×C₄²	—	17	4	no	—
1041	C₂×C₄²	C₂²×D₁₇	1	2	yes	complemented
1042	C₁₇	C₂×#3491	1	1	yes	characteristic, complemented, Sylow
1043	C₂⁴	—	17	2	no	—
1044	C₂⁴	—	17	1	no	—
1045	C₂⁴	—	17	8	no	—
1046	C₂⁴	—	17	1	no	—
1047	C₂⁴	—	17	2	no	—
1048	C₂⁴	—	17	4	no	—
1049	C₂⁴	—	17	4	no	—
1050	C₂⁴	—	17	2	no	—
1051	C₂⁴	—	34	8	no	—
1052	C₂⁴	—	68	4	no	—
1053	C₂⁴	—	68	8	no	—
1054	C₂⁴	C₂³×D₁₇	1	2	yes	—
1055	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1056	C₂×Q₈	—	17	8	no	—
1057	C₂×Q₈	—	17	4	no	—
1058	C₂×Q₈	—	68	8	no	—
1059	C₂×Q₈	C₂³×D₁₇	1	4	yes	—
1060	C₂×D₄	—	2	8	no	—
1061	C₂×D₄	—	17	4	no	—
1062	C₂×D₄	—	17	4	no	—
1063	C₂×D₄	—	17	4	no	—
1064	C₂×D₄	—	17	4	no	—
1065	C₂×D₄	—	17	8	no	—
1066	C₂×D₄	—	17	4	no	—
1067	C₂×D₄	—	17	4	no	—
1068	C₂×D₄	—	17	4	no	—
1069	C₂×D₄	—	34	8	no	—
1070	C₂×D₄	—	34	16	no	—
1071	C₂×D₄	—	34	16	no	—
1072	C₂×D₄	—	34	16	no	—
1073	C₂×D₄	—	34	16	no	—
1074	C₂×D₄	—	34	8	no	—
1075	C₂×D₄	—	34	8	no	—
1076	C₂×D₄	—	68	8	no	—
1077	C₂×D₄	C₂³×D₁₇	1	4	yes	—
1078	C₂×D₄	C₂³×D₁₇	1	4	yes	—
1079	C₂×D₄	C₂³×D₁₇	1	4	yes	—
1080	C₂²×C₄	—	2	4	no	—
1081	C₂²×C₄	—	17	1	no	—
1082	C₂²×C₄	—	17	4	no	—
1083	C₂²×C₄	—	17	2	no	—
1084	C₂²×C₄	—	17	1	no	—
1085	C₂²×C₄	—	17	2	no	—
1086	C₂²×C₄	—	17	2	no	—
1087	C₂²×C₄	—	17	4	no	—
1088	C₂²×C₄	—	17	8	no	—
1089	C₂²×C₄	—	17	2	no	—
1090	C₂²×C₄	—	17	4	no	—
1091	C₂²×C₄	—	17	2	no	—
1092	C₂²×C₄	—	17	4	no	—
1093	C₂²×C₄	—	17	4	no	—
1094	C₂²×C₄	—	17	8	no	—
1095	C₂²×C₄	—	17	2	no	—
1096	C₂²×C₄	—	17	4	no	—
1097	C₂²×C₄	—	17	4	no	—
1098	C₂²×C₄	—	17	4	no	—
1099	C₂²×C₄	—	17	2	no	—
1100	C₂²×C₄	—	17	4	no	—
1101	C₂²×C₄	—	17	4	no	—
1102	C₂²×C₄	—	17	8	no	—
1103	C₂²×C₄	—	17	8	no	—
1104	C₂²×C₄	—	17	8	no	—
1105	C₂²×C₄	—	34	16	no	—
1106	C₂²×C₄	—	34	4	no	—
1107	C₂²×C₄	—	34	4	no	—
1108	C₂²×C₄	—	34	16	no	—
1109	C₂²×C₄	—	34	4	no	—
1110	C₂²×C₄	—	34	4	no	—
1111	C₂²×C₄	—	34	8	no	—
1112	C₂²×C₄	—	34	4	no	—
1113	C₂²×C₄	—	68	4	no	—
1114	C₂²×C₄	—	68	16	no	—
1115	C₂²×C₄	—	68	8	no	—
1116	C₂²×C₄	—	68	4	no	—
1117	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₁₇	1	4	yes	—
1119	C₂²×C₄	C₂³×D₁₇	1	2	yes	—
1120	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₁₇	1	2	yes	—
1122	C₂²×C₄	C₂³×D₁₇	1	2	yes	—
1123	C₂²×C₄	C₂³×D₁₇	1	4	yes	—
1124	C₂²×C₄	C₂³×D₁₇	1	8	yes	—
1125	C₄⋊C₄	—	17	8	no	—
1126	C₄⋊C₄	—	17	8	no	—
1127	C₄⋊C₄	—	17	8	no	—
1128	C₄⋊C₄	—	17	8	no	—
1129	C₄⋊C₄	—	17	8	no	—
1130	C₄⋊C₄	—	17	8	no	—
1131	C₄⋊C₄	—	17	8	no	—
1132	C₄⋊C₄	—	17	8	no	—
1133	C₄⋊C₄	—	17	8	no	—
1134	C₄⋊C₄	—	17	8	no	—
1135	C₄⋊C₄	—	17	8	no	—
1136	C₄⋊C₄	—	17	8	no	—
1137	C₄⋊C₄	—	17	8	no	—
1138	C₄⋊C₄	—	17	8	no	—
1139	C₄⋊C₄	—	17	8	no	—
1140	C₄⋊C₄	—	17	8	no	—
1141	C₄⋊C₄	—	17	4	no	—
1142	C₄⋊C₄	—	17	8	no	—
1143	C₄⋊C₄	—	17	4	no	—
1144	C₄⋊C₄	C₂³×D₁₇	1	8	yes	—
1145	C₄⋊C₄	C₂³×D₁₇	1	8	yes	—
1146	C₄⋊C₄	C₂³×D₁₇	1	8	yes	—
1147	C₄⋊C₄	C₂³×D₁₇	1	8	yes	—
1148	C₄⋊C₄	C₂³×D₁₇	1	8	yes	—
1149	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1150	C₄⋊C₄	C₂³×D₁₇	1	4	yes	—
1151	C₂²⋊C₄	—	17	4	no	—
1152	C₂²⋊C₄	—	17	4	no	—
1153	C₂²⋊C₄	—	17	4	no	—
1154	C₂²⋊C₄	—	17	8	no	—
1155	C₂²⋊C₄	—	17	4	no	—
1156	C₂²⋊C₄	—	17	8	no	—
1157	C₂²⋊C₄	—	17	8	no	—
1158	C₂²⋊C₄	—	17	8	no	—
1159	C₂²⋊C₄	—	17	8	no	—
1160	C₂²⋊C₄	—	17	8	no	—
1161	C₂²⋊C₄	—	17	8	no	—
1162	C₂²⋊C₄	—	17	8	no	—
1163	C₂²⋊C₄	—	17	8	no	—
1164	C₂²⋊C₄	—	17	8	no	—
1165	C₂²⋊C₄	—	17	8	no	—
1166	C₂²⋊C₄	—	17	8	no	—
1167	C₂²⋊C₄	—	17	8	no	—
1168	C₂²⋊C₄	—	17	8	no	—
1169	C₂²⋊C₄	—	17	8	no	—
1170	C₂²⋊C₄	—	17	8	no	—
1171	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1172	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1173	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1174	C₂²⋊C₄	C₂³×D₁₇	1	4	yes	—
1175	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1176	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1177	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1178	C₂²⋊C₄	C₂³×D₁₇	1	8	yes	—
1179	C₄²	—	17	4	no	—
1180	C₄²	—	17	4	no	—
1181	C₄²	—	17	4	no	—
1182	C₄²	—	17	4	no	—
1183	C₄²	—	17	4	no	—
1184	C₄²	—	17	4	no	—
1185	C₄²	—	17	8	no	—
1186	C₄²	—	17	8	no	—
1187	C₄²	—	17	8	no	—
1188	C₄²	C₂³×D₁₇	1	4	yes	—
1189	C₄²	C₂³×D₁₇	1	4	yes	—
1190	C₄²	C₂³×D₁₇	1	8	yes	—
1191	C₂³	—	2	4	no	—
1192	C₂³	—	4	2	no	—
1193	C₂³	—	4	4	no	—
1194	C₂³	—	17	1	no	—
1195	C₂³	—	17	8	no	—
1196	C₂³	—	17	4	no	—
1197	C₂³	—	17	2	no	—
1198	C₂³	—	17	1	no	—
1199	C₂³	—	17	4	no	—
1200	C₂³	—	17	8	no	—
1201	C₂³	—	17	4	no	—
1202	C₂³	—	34	4	no	—
1203	C₂³	—	34	8	no	—
1204	C₂³	—	34	16	no	—
1205	C₂³	—	34	8	no	—
1206	C₂³	—	34	8	no	—
1207	C₂³	—	34	4	no	—
1208	C₂³	—	68	2	no	—
1209	C₂³	—	68	4	no	—
1210	C₂³	—	68	4	no	—
1211	C₂³	—	68	8	no	—
1212	C₂³	—	68	16	no	—
1213	C₂³	—	136	16	no	—
1214	C₂³	#41×D₁₇	1	4	yes	—
1215	C₂³	C₂⁴×D₁₇	1	4	yes	—
1216	C₂³	C₂⁴×D₁₇	1	2	yes	—
1217	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1218	Q₈	—	4	4	no	—
1219	Q₈	—	68	8	no	—
1220	Q₈	—	68	4	no	—
1221	D₄	—	2	8	no	—
1222	D₄	—	2	8	no	—
1223	D₄	—	4	4	no	—
1224	D₄	—	34	8	no	—
1225	D₄	—	34	8	no	—
1226	D₄	—	34	8	no	—
1227	D₄	—	34	8	no	—
1228	D₄	—	34	8	no	—
1229	D₄	—	34	8	no	—
1230	D₄	—	68	4	no	—
1231	D₄	—	68	8	no	—
1232	C₂×C₄	—	2	8	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	4	no	—
1236	C₂×C₄	—	4	2	no	—
1237	C₂×C₄	—	4	8	no	—
1238	C₂×C₄	—	4	4	no	—
1239	C₂×C₄	—	4	2	no	—
1240	C₂×C₄	—	17	2	no	—
1241	C₂×C₄	—	17	4	no	—
1242	C₂×C₄	—	17	4	no	—
1243	C₂×C₄	—	17	4	no	—
1244	C₂×C₄	—	17	8	no	—
1245	C₂×C₄	—	17	2	no	—
1246	C₂×C₄	—	34	4	no	—
1247	C₂×C₄	—	34	4	no	—
1248	C₂×C₄	—	34	8	no	—
1249	C₂×C₄	—	34	8	no	—
1250	C₂×C₄	—	34	4	no	—
1251	C₂×C₄	—	34	4	no	—
1252	C₂×C₄	—	34	8	no	—
1253	C₂×C₄	—	34	8	no	—
1254	C₂×C₄	—	34	8	no	—
1255	C₂×C₄	—	34	16	no	—
1256	C₂×C₄	—	34	8	no	—
1257	C₂×C₄	—	34	8	no	—
1258	C₂×C₄	—	34	2	no	—
1259	C₂×C₄	—	34	2	no	—
1260	C₂×C₄	—	34	4	no	—
1261	C₂×C₄	—	68	4	no	—
1262	C₂×C₄	—	68	8	no	—
1263	C₂×C₄	—	68	8	no	—
1264	C₂×C₄	—	68	8	no	—
1265	C₂×C₄	—	68	4	no	—
1266	C₂×C₄	—	68	2	no	—
1267	C₂×C₄	—	68	8	no	—
1268	C₂×C₄	—	68	4	no	—
1269	C₂×C₄	—	68	2	no	—
1270	C₂×C₄	C₂⁴×D₁₇	1	2	yes	—
1271	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1272	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1273	C₂×C₄	C₂⁴×D₁₇	1	4	yes	—
1274	C₂×C₄	C₂⁴×D₁₇	1	8	yes	—
1275	C₂×C₄	C₂⁴×D₁₇	1	2	yes	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	4	no	—
1278	C₂²	—	2	4	no	—
1279	C₂²	—	2	8	no	—
1280	C₂²	—	4	4	no	—
1281	C₂²	—	8	4	no	—
1282	C₂²	—	17	2	no	—
1283	C₂²	—	17	4	no	—
1284	C₂²	—	17	4	no	—
1285	C₂²	—	17	2	no	—
1286	C₂²	—	34	16	no	—
1287	C₂²	—	34	8	no	—
1288	C₂²	—	34	2	no	—
1289	C₂²	—	34	4	no	—
1290	C₂²	—	34	4	no	—
1291	C₂²	—	34	8	no	—
1292	C₂²	—	68	8	no	—
1293	C₂²	—	68	4	no	—
1294	C₂²	—	68	16	no	—
1295	C₂²	—	136	4	no	—
1296	C₂²	—	136	8	no	—
1297	C₂²	C₂×#41×D₁₇	1	4	yes	—
1298	C₂²	C₂×#41×D₁₇	1	2	yes	—
1299	C₂²	C₂⁵×D₁₇	1	1	yes	characteristic
1300	C₄	—	2	2	no	—
1301	C₄	—	2	2	no	—
1302	C₄	—	2	4	no	—
1303	C₄	—	2	4	no	—
1304	C₄	—	2	8	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	34	2	no	—
1307	C₄	—	34	2	no	—
1308	C₄	—	34	4	no	—
1309	C₄	—	34	4	no	—
1310	C₄	—	34	8	no	—
1311	C₄	—	34	4	no	—
1312	C₂	—	2	4	no	—
1313	C₂	—	2	2	no	—
1314	C₂	—	4	4	no	—
1315	C₂	—	17	4	no	—
1316	C₂	—	34	4	no	—
1317	C₂	—	34	2	no	—
1318	C₂	—	68	4	no	—
1319	C₂	C₂²×#41×D₁₇	1	1	yes	characteristic
1320	C₂	D₁₇×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₇
commutator, socle, cosocle	C₂²×C₁₇	C₂⁶
Fitting	C₁₇×#3491	C₂
prime radical	D₁₇×#534	C₂
hypercenter	#3491	D₁₇
hypocenter	C₁₇	C₂×#3491
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #3491

Complements

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

N	H ≅ G/N	type
1. #14542483	C₂	semidirect
2. #14542482	C₂	semidirect
3. #14542481	C₂	semidirect
4. #14542480	C₂	semidirect
5. #14542479	C₂	semidirect
6. #14542478	C₂	semidirect
7. #14542477	C₂	semidirect
8. #14542476	C₂	semidirect
9. #14542475	C₂	semidirect
10. D₁₇×#552	C₂	semidirect
11. D₁₇×#551	C₂	semidirect
12. D₁₇×#543	C₂	semidirect
13. D₁₇×#539	C₂	semidirect
15. D₁₇×#529	C₂	semidirect
16. C₂×#123×D₁₇	C₂	semidirect
17. D₁₇×#518	C₂	semidirect
18. C₂×#117×D₁₇	C₂	semidirect
19. C₁₇×#3491	C₂	semidirect
22. #11763501	C₂²	semidirect
23. #11763500	C₂²	semidirect
24. #11763499	C₂²	semidirect
25. #11763498	C₂²	semidirect
26. #11763497	C₂²	semidirect
27. #11763496	C₂²	semidirect
28. #11763496	C₂²	semidirect
29. #11763495	C₂²	semidirect
30. #11763495	C₂²	semidirect
31. #11763494	C₂²	semidirect
32. #11763493	C₂²	semidirect
33. #11763492	C₂²	semidirect
34. #11763492	C₂²	semidirect
35. #11763491	C₂²	semidirect
36. #11763491	C₂²	semidirect
37. #11763490	C₂²	semidirect
38. #11763489	C₂²	semidirect
39. #11763488	C₂²	semidirect
40. #11763488	C₂²	semidirect
41. #11763487	C₂²	semidirect
42. #11763486	C₂²	semidirect
43. #11763486	C₂²	semidirect
44. #11763485	C₂²	semidirect
45. #11763485	C₂²	semidirect
46. #11763484	C₂²	semidirect
47. #11763484	C₂²	semidirect
48. #11763483	C₂²	semidirect
49. #11763483	C₂²	semidirect
50. #11763482	C₂²	semidirect
51. #11763482	C₂²	semidirect
52. #11763435	C₂²	semidirect
53. #11763435	C₂²	semidirect
54. #11763434	C₂²	semidirect
55. #11763434	C₂²	semidirect
56. #11763408	C₂²	semidirect
57. #11763407	C₂²	semidirect
58. #11763406	C₂²	semidirect
59. #11763405	C₂²	semidirect
60. #11763404	C₂²	semidirect
61. #11763403	C₂²	semidirect
62. #11763402	C₂²	semidirect
63. #11763401	C₂²	semidirect
64. #11763400	C₂²	semidirect
70. #11763346	C₂²	semidirect
71. #11763345	C₂²	semidirect
72. #11763344	C₂²	semidirect
73. #11763343	C₂²	semidirect
74. #11763342	C₂²	semidirect
75. #11763341	C₂²	semidirect
76. #11763340	C₂²	semidirect
77. #11763339	C₂²	semidirect
78. #11763338	C₂²	semidirect
79. #11763337	C₂²	semidirect
80. #11763336	C₂²	semidirect
81. #126×D₁₇	C₂²	semidirect
82. #126×D₁₇	C₂²	semidirect
83. #125×D₁₇	C₂²	semidirect
84. #125×D₁₇	C₂²	semidirect
85. #124×D₁₇	C₂²	semidirect
86. C₂×#10587580	C₂²	semidirect
87. C₂×#10587572	C₂²	semidirect
88. C₂×#10587615	C₂²	semidirect
89. C₂×#10587569	C₂²	semidirect
90. C₂×#10587621	C₂²	semidirect
93. #123×D₁₇	C₂²	semidirect
94. #123×D₁₇	C₂²	semidirect
95. #123×D₁₇	C₂²	semidirect
96. #123×D₁₇	C₂²	semidirect
97. #123×D₁₇	C₂²	semidirect
98. #123×D₁₇	C₂²	semidirect
99. C₂²⋊Q₈×D₁₇	C₂²	semidirect
100. C₂²⋊Q₈×D₁₇	C₂²	semidirect
101. C₂²⋊Q₈×D₁₇	C₂²	semidirect
104. #11763284	C₂²	semidirect
105. #11763283	C₂²	semidirect
106. #11763282	C₂²	semidirect
107. #11763282	C₂²	semidirect
108. #11763282	C₂²	semidirect
109. #11763281	C₂²	semidirect
110. #11763281	C₂²	semidirect
111. C₄×Q₈×D₁₇	C₂²	semidirect
113. C₄×D₄×D₁₇	C₂²	semidirect
114. C₄×D₄×D₁₇	C₂²	semidirect
115. C₂×#10587612	C₂²	semidirect
116. C₂×#10587578	C₂²	semidirect
117. C₂×#10587558	C₂²	semidirect
118. C₂×#10587563	C₂²	semidirect
119. C₂×#10587563	C₂²	semidirect
120. #117×D₁₇	C₂²	semidirect
121. #117×D₁₇	C₂²	semidirect
122. #117×D₁₇	C₂²	semidirect
123. #117×D₁₇	C₂²	semidirect
124. C₂×C₄⋊C₄×D₁₇	C₂²	semidirect
125. C₂×C₄⋊C₄×D₁₇	C₂²	semidirect
129. C₂×C₂²⋊C₄×D₁₇	C₂²	semidirect
130. C₂×C₂²⋊C₄×D₁₇	C₂²	semidirect
131. C₂×C₄²×D₁₇	C₂²	semidirect
132. C₁₇×#552	C₂²	semidirect
133. C₁₇×#551	C₂²	semidirect
134. C₁₇×#543	C₂²	semidirect
135. C₁₇×#539	C₂²	semidirect
137. C₁₇×#529	C₂²	semidirect
138. C₂×C₁₇×#123	C₂²	semidirect
139. C₁₇×#518	C₂²	semidirect
140. C₂×C₁₇×#117	C₂²	semidirect
168. C₁₇×#126	C₂³	semidirect
169. C₁₇×#126	C₂³	semidirect
170. C₁₇×#125	C₂³	semidirect
171. C₁₇×#125	C₂³	semidirect
172. C₁₇×#124	C₂³	semidirect
175. C₁₇×#123	C₂³	semidirect
176. C₁₇×#123	C₂³	semidirect
177. C₁₇×#123	C₂³	semidirect
178. C₁₇×C₂²⋊Q₈	C₂³	semidirect
179. C₁₇×C₂²⋊Q₈	C₂³	semidirect
180. C₁₇×C₂²⋊Q₈	C₂³	semidirect
183. C₄×Q₈×C₁₇	C₂³	semidirect
185. C₄×D₄×C₁₇	C₂³	semidirect
186. C₄×D₄×C₁₇	C₂³	semidirect
187. C₁₇×#117	C₂³	semidirect
188. C₁₇×#117	C₂³	semidirect
189. C₁₇×#117	C₂³	semidirect
190. C₂×C₄⋊C₄×C₁₇	C₂³	semidirect
191. C₂×C₄⋊C₄×C₁₇	C₂³	semidirect
195. C₂×C₂²⋊C₄×C₁₇	C₂³	semidirect
196. C₂×C₂²⋊C₄×C₁₇	C₂³	semidirect
197. C₂×C₄²×C₁₇	C₂³	semidirect
202. C₂×C₂²⋊Dic₁₇	C₂³	semidirect
203. C₂×C₂²⋊Dic₁₇	C₂³	semidirect
204. #10587633	C₂³	semidirect
205. #10587632	C₂³	semidirect
206. #10587632	C₂³	semidirect
207. #10587632	C₂³	semidirect
208. Q₈×Dic₁₇	C₂³	semidirect
213. #10587622	C₂³	semidirect
216. #10587621	C₂³	semidirect
217. #10587621	C₂³	semidirect
218. #10587621	C₂³	semidirect
220. D₄×Dic₁₇	C₂³	semidirect
221. D₄×Dic₁₇	C₂³	semidirect
225. #10587615	C₂³	semidirect
226. #10587615	C₂³	semidirect
227. #10587615	C₂³	semidirect
230. C₄×C₂²⋊D₁₇	C₂³	semidirect
231. C₄×C₂²⋊D₁₇	C₂³	semidirect
232. C₄×C₂²⋊D₁₇	C₂³	semidirect
236. C₂×#63227	C₂³	semidirect
237. C₂×#63227	C₂³	semidirect
238. C₂×#63227	C₂³	semidirect
239. #10587612	C₂³	semidirect
240. #10587612	C₂³	semidirect
241. #10587612	C₂³	semidirect
242. C₂×C₄⋊Dic₁₇	C₂³	semidirect
243. C₂×C₄⋊Dic₁₇	C₂³	semidirect
244. #10587610	C₂³	semidirect
245. #10587610	C₂³	semidirect
246. #10587610	C₂³	semidirect
247. C₂×#63225	C₂³	semidirect
248. C₂×#63225	C₂³	semidirect
249. C₂×#63225	C₂³	semidirect
250. C₂×#63225	C₂³	semidirect
251. C₂×C₄×Dic₁₇	C₂³	semidirect
252. C₂×C₄×Dic₁₇	C₂³	semidirect
253. C₂×C₄×Dic₁₇	C₂³	semidirect
254. #10587584	C₂³	semidirect
255. #10587584	C₂³	semidirect
256. #10587584	C₂³	semidirect
257. #10587584	C₂³	semidirect
258. #10587584	C₂³	semidirect
259. #10587584	C₂³	semidirect
260. #10587583	C₂³	semidirect
261. #10587583	C₂³	semidirect
262. #10587583	C₂³	semidirect
263. #10587582	C₂³	semidirect
264. #10587582	C₂³	semidirect
265. #10587582	C₂³	semidirect
266. #10587582	C₂³	semidirect
267. #10587582	C₂³	semidirect
272. #10587580	C₂³	semidirect
273. #10587580	C₂³	semidirect
274. #10587580	C₂³	semidirect
275. #10587580	C₂³	semidirect
277. #10587579	C₂³	semidirect
278. #10587579	C₂³	semidirect
279. #10587578	C₂³	semidirect
280. #10587578	C₂³	semidirect
281. #10587578	C₂³	semidirect
282. #10587578	C₂³	semidirect
283. #10587578	C₂³	semidirect
291. C₄⋊C₄×D₁₇	C₂³	semidirect
292. C₄⋊C₄×D₁₇	C₂³	semidirect
293. C₄⋊C₄×D₁₇	C₂³	semidirect
294. #10587576	C₂³	semidirect
295. #10587576	C₂³	semidirect
296. #10587576	C₂³	semidirect
297. #10587576	C₂³	semidirect
298. #10587575	C₂³	semidirect
299. #10587575	C₂³	semidirect
300. #10587575	C₂³	semidirect
301. #10587575	C₂³	semidirect
302. #10587575	C₂³	semidirect
303. #10587575	C₂³	semidirect
304. #10587573	C₂³	semidirect
305. #10587573	C₂³	semidirect
308. #10587572	C₂³	semidirect
309. #10587572	C₂³	semidirect
310. #10587572	C₂³	semidirect
311. #10587571	C₂³	semidirect
312. #10587571	C₂³	semidirect
317. #10587569	C₂³	semidirect
318. #10587569	C₂³	semidirect
319. #10587569	C₂³	semidirect
320. #10587569	C₂³	semidirect
325. #10587567	C₂³	semidirect
326. #10587567	C₂³	semidirect
327. #10587567	C₂³	semidirect
340. C₂²⋊C₄×D₁₇	C₂³	semidirect
341. C₂²⋊C₄×D₁₇	C₂³	semidirect
342. C₂²⋊C₄×D₁₇	C₂³	semidirect
343. C₂²⋊C₄×D₁₇	C₂³	semidirect
344. C₂²⋊C₄×D₁₇	C₂³	semidirect
345. #10587565	C₂³	semidirect
346. #10587565	C₂³	semidirect
347. #10587565	C₂³	semidirect
348. #10587565	C₂³	semidirect
349. #10587565	C₂³	semidirect
350. #10587565	C₂³	semidirect
351. #10587564	C₂³	semidirect
352. #10587564	C₂³	semidirect
353. #10587564	C₂³	semidirect
354. #10587564	C₂³	semidirect
355. #10587564	C₂³	semidirect
356. #10587563	C₂³	semidirect
357. #10587563	C₂³	semidirect
358. #10587563	C₂³	semidirect
359. #10587563	C₂³	semidirect
360. #10587563	C₂³	semidirect
361. #10587563	C₂³	semidirect
362. #10587562	C₂³	semidirect
363. #10587562	C₂³	semidirect
364. #10587561	C₂³	semidirect
366. C₄×D₆₈	C₂³	semidirect
367. C₄×D₆₈	C₂³	semidirect
368. #10587558	C₂³	semidirect
369. #10587558	C₂³	semidirect
370. #10587558	C₂³	semidirect
371. #10587558	C₂³	semidirect
372. #10587558	C₂³	semidirect
376. C₄²×D₁₇	C₂³	semidirect
377. C₄²×D₁₇	C₂³	semidirect
378. #10587556	C₂³	semidirect
379. #10587556	C₂³	semidirect
380. C₄×Dic₃₄	C₂³	semidirect
381. C₄×Dic₃₄	C₂³	semidirect
625. #3491	D₁₇	direct (N × H)
688. #552	C₂×D₁₇	semidirect
704. #551	C₂×D₁₇	semidirect
709. #543	C₂×D₁₇	semidirect
719. #539	C₂×D₁₇	semidirect
737. #529	C₂×D₁₇	semidirect
756. C₂×#123	C₂×D₁₇	semidirect
769. #518	C₂×D₁₇	semidirect
783. C₂×#117	C₂×D₁₇	semidirect
800. D₁₇	#3491	direct (N × H)
842. #126	C₂²×D₁₇	semidirect
843. #126	C₂²×D₁₇	semidirect
856. #125	C₂²×D₁₇	semidirect
857. #125	C₂²×D₁₇	semidirect
863. #124	C₂²×D₁₇	semidirect
895. #123	C₂²×D₁₇	semidirect
896. #123	C₂²×D₁₇	semidirect
897. #123	C₂²×D₁₇	semidirect
917. C₂²⋊Q₈	C₂²×D₁₇	semidirect
918. C₂²⋊Q₈	C₂²×D₁₇	semidirect
919. C₂²⋊Q₈	C₂²×D₁₇	semidirect
937. C₄×Q₈	C₂²×D₁₇	semidirect
958. C₄×D₄	C₂²×D₁₇	semidirect
959. C₄×D₄	C₂²×D₁₇	semidirect
979. #117	C₂²×D₁₇	semidirect
980. #117	C₂²×D₁₇	semidirect
981. #117	C₂²×D₁₇	semidirect
998. C₂×C₄⋊C₄	C₂²×D₁₇	semidirect
999. C₂×C₄⋊C₄	C₂²×D₁₇	semidirect
1031. C₂×C₂²⋊C₄	C₂²×D₁₇	semidirect
1032. C₂×C₂²⋊C₄	C₂²×D₁₇	semidirect
1041. C₂×C₄²	C₂²×D₁₇	semidirect
1042. C₁₇	C₂×#3491	semidirect

Maximal subgroups

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

subgroup	index
#14542483	2
#14542482	2
#14542481	2
#14542480	2
#14542479	2
#14542478	2
#14542477	2
#14542476	2
#14542475	2
D₁₇×#552	2
D₁₇×#551	2
D₁₇×#543	2
D₁₇×#539	2
D₁₇×#534	2
D₁₇×#529	2
C₂×#123×D₁₇	2
D₁₇×#518	2
C₂×#117×D₁₇	2
C₁₇×#3491	2
C₂×#3491	17

Subgroups — D17×#3491 #17942370

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₇×#3491 #17942370