Subgroups — #14542475

Order 2176.

1052 conjugacy classes of subgroups.

The subgroup lattice has 970 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11763501	C₂	1	1	yes	maximal, characteristic, complemented
2	#11763499	C₂	1	1	yes	maximal, characteristic, complemented
3	#11763498	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763496	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763495	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763495	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763493	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763492	C₂	1	1	yes	maximal, characteristic, complemented
9	#11763490	C₂	1	1	yes	maximal, characteristic, complemented
10	#11763489	C₂	1	1	yes	maximal, characteristic, complemented
11	#11763488	C₂	1	1	yes	maximal, characteristic, complemented
12	#11763487	C₂	1	1	yes	maximal, characteristic, complemented
13	#11763485	C₂	1	1	yes	maximal, characteristic, complemented
14	#11763485	C₂	1	1	yes	maximal, characteristic, complemented
15	#11763482	C₂	1	1	yes	maximal, characteristic, complemented
16	#11763434	C₂	1	1	yes	maximal, characteristic, complemented
17	#11763405	C₂	1	1	yes	maximal, characteristic, complemented
18	#11763402	C₂	1	1	yes	maximal, characteristic, complemented
19	#11763402	C₂	1	1	yes	maximal, characteristic, complemented
20	#11763400	C₂	1	1	yes	maximal, characteristic, complemented
21	#11763369	C₂	1	1	yes	maximal, characteristic
22	#11763342	C₂	1	1	yes	maximal, characteristic, complemented
23	#11763341	C₂	1	1	yes	maximal, characteristic, complemented
24	#11763338	C₂	1	1	yes	maximal, characteristic, complemented
25	#11763337	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#10587569	C₂	1	1	yes	maximal, characteristic, complemented
27	#123×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
28	#11763282	C₂	1	1	yes	maximal, characteristic, complemented
29	#11763281	C₂	1	1	yes	maximal, characteristic, complemented
30	#117×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#551	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
33	C₂×D₄×D₁₇	C₂²	1	1	yes	characteristic
34	C₂²×C₄×D₁₇	C₂²	1	1	yes	characteristic
35	C₁₇×#126	C₂²	1	1	yes	characteristic, complemented
36	C₁₇×#126	C₂²	1	1	yes	characteristic, complemented
37	C₁₇×#124	C₂²	1	1	yes	characteristic, complemented
38	C₁₇×#123	C₂²	1	1	yes	characteristic
39	C₁₇×#123	C₂²	1	1	yes	characteristic, complemented
40	C₁₇×#123	C₂²	1	1	yes	characteristic, complemented
41	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₁₇×#120	C₂²	1	1	yes	characteristic
44	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
45	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
46	C₁₇×#117	C₂²	1	1	yes	characteristic, complemented
47	C₁₇×#117	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
50	#10587639	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic, complemented
53	#10587632	C₂²	1	1	yes	characteristic, complemented
54	#10587632	C₂²	1	1	yes	characteristic, complemented
55	#10587632	C₂²	1	1	yes	characteristic, complemented
56	Q₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
57	#10587624	C₂²	1	1	yes	characteristic
58	#10587624	C₂²	1	1	yes	characteristic
59	#10587623	C₂²	1	1	yes	characteristic
60	#10587623	C₂²	1	1	yes	characteristic
61	#10587622	C₂²	1	1	yes	characteristic, complemented
62	#10587621	C₂²	1	1	yes	characteristic
63	#10587621	C₂²	1	1	yes	characteristic
64	#10587621	C₂²	1	1	yes	characteristic, complemented
65	#10587621	C₂²	1	1	yes	characteristic, complemented
66	D₄×Dic₁₇	C₂²	1	1	yes	characteristic
67	D₄×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
68	#10587615	C₂²	1	1	yes	characteristic
69	#10587615	C₂²	1	1	yes	characteristic, complemented
70	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
71	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
72	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
76	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
77	C₂×#63227	C₂²	1	1	yes	characteristic
78	C₂×#63227	C₂²	1	1	yes	characteristic, complemented
79	#10587612	C₂²	1	1	yes	characteristic, complemented
80	#10587612	C₂²	1	1	yes	characteristic, complemented
81	#10587612	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic, complemented
83	#10587610	C₂²	1	1	yes	characteristic, complemented
84	#10587610	C₂²	1	1	yes	characteristic, complemented
85	#10587610	C₂²	1	1	yes	characteristic, complemented
86	C₂×#63225	C₂²	1	1	yes	characteristic, complemented
87	#10587584	C₂²	1	1	yes	characteristic, complemented
88	#10587584	C₂²	1	1	yes	characteristic, complemented
89	#10587584	C₂²	1	1	yes	characteristic, complemented
90	#10587583	C₂²	1	1	yes	characteristic, complemented
91	#10587583	C₂²	1	1	yes	characteristic, complemented
92	#10587582	C₂²	1	1	yes	characteristic, complemented
93	#10587582	C₂²	1	1	yes	characteristic, complemented
94	#10587582	C₂²	1	1	yes	characteristic, complemented
95	#10587582	C₂²	1	1	yes	characteristic, complemented
96	#10587582	C₂²	1	1	yes	characteristic, complemented
97	#10587580	C₂²	1	1	yes	characteristic, complemented
98	#10587580	C₂²	1	1	yes	characteristic, complemented
99	#10587579	C₂²	1	1	yes	characteristic, complemented
100	#10587578	C₂²	1	1	yes	characteristic, complemented
101	#10587578	C₂²	1	1	yes	characteristic, complemented
102	#10587578	C₂²	1	1	yes	characteristic, complemented
103	#10587578	C₂²	1	1	yes	characteristic, complemented
104	C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
105	C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
106	C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
107	C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
108	#10587576	C₂²	1	1	yes	characteristic, complemented
109	#10587576	C₂²	1	1	yes	characteristic, complemented
110	#10587576	C₂²	1	1	yes	characteristic, complemented
111	#10587576	C₂²	1	1	yes	characteristic, complemented
112	#10587575	C₂²	1	1	yes	characteristic, complemented
113	#10587575	C₂²	1	1	yes	characteristic, complemented
114	#10587575	C₂²	1	1	yes	characteristic, complemented
115	#10587575	C₂²	1	1	yes	characteristic, complemented
116	#10587575	C₂²	1	1	yes	characteristic, complemented
117	#10587575	C₂²	1	1	yes	characteristic, complemented
118	#10587573	C₂²	1	1	yes	characteristic, complemented
119	#10587572	C₂²	1	1	yes	characteristic
120	#10587572	C₂²	1	1	yes	characteristic
121	#10587572	C₂²	1	1	yes	characteristic, complemented
122	#10587571	C₂²	1	1	yes	characteristic, complemented
123	#10587571	C₂²	1	1	yes	characteristic, complemented
124	#10587570	C₂²	1	1	yes	characteristic
125	#10587570	C₂²	1	1	yes	characteristic
126	#10587569	C₂²	1	1	yes	characteristic
127	#10587569	C₂²	1	1	yes	characteristic
128	#10587569	C₂²	1	1	yes	characteristic
129	#10587569	C₂²	1	1	yes	characteristic
130	#10587569	C₂²	1	1	yes	characteristic
131	#10587569	C₂²	1	1	yes	characteristic
132	#10587569	C₂²	1	1	yes	characteristic, complemented
133	#10587569	C₂²	1	1	yes	characteristic, complemented
134	#10587569	C₂²	1	1	yes	characteristic, complemented
135	#10587569	C₂²	1	1	yes	characteristic, complemented
136	#10587569	C₂²	1	1	yes	characteristic, complemented
137	#10587569	C₂²	1	1	yes	characteristic, complemented
138	#10587569	C₂²	1	1	yes	characteristic, complemented
139	#10587569	C₂²	1	1	yes	characteristic, complemented
140	#10587567	C₂²	1	1	yes	characteristic
141	#10587567	C₂²	1	1	yes	characteristic
142	#10587567	C₂²	1	1	yes	characteristic
143	#10587567	C₂²	1	1	yes	characteristic, complemented
144	#10587567	C₂²	1	1	yes	characteristic, complemented
145	#10587567	C₂²	1	1	yes	characteristic, complemented
146	#10587567	C₂²	1	1	yes	characteristic, complemented
147	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
152	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
153	#10587565	C₂²	1	1	yes	characteristic, complemented
154	#10587565	C₂²	1	1	yes	characteristic, complemented
155	#10587565	C₂²	1	1	yes	characteristic, complemented
156	#10587565	C₂²	1	1	yes	characteristic, complemented
157	#10587565	C₂²	1	1	yes	characteristic, complemented
158	#10587565	C₂²	1	1	yes	characteristic, complemented
159	#10587565	C₂²	1	1	yes	characteristic, complemented
160	#10587565	C₂²	1	1	yes	characteristic, complemented
161	#10587565	C₂²	1	1	yes	characteristic, complemented
162	#10587565	C₂²	1	1	yes	characteristic, complemented
163	#10587564	C₂²	1	1	yes	characteristic, complemented
164	#10587564	C₂²	1	1	yes	characteristic, complemented
165	#10587564	C₂²	1	1	yes	characteristic, complemented
166	#10587564	C₂²	1	1	yes	characteristic, complemented
167	#10587564	C₂²	1	1	yes	characteristic, complemented
168	#10587563	C₂²	1	1	yes	characteristic, complemented
169	#10587563	C₂²	1	1	yes	characteristic, complemented
170	#10587563	C₂²	1	1	yes	characteristic, complemented
171	#10587563	C₂²	1	1	yes	characteristic, complemented
172	#10587563	C₂²	1	1	yes	characteristic, complemented
173	#10587563	C₂²	1	1	yes	characteristic, complemented
174	#10587563	C₂²	1	1	yes	characteristic, complemented
175	#10587562	C₂²	1	1	yes	characteristic, complemented
176	C₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
177	#10587558	C₂²	1	1	yes	characteristic, complemented
178	#10587558	C₂²	1	1	yes	characteristic, complemented
179	#10587558	C₂²	1	1	yes	characteristic, complemented
180	#10587558	C₂²	1	1	yes	characteristic, complemented
181	C₄²×D₁₇	C₂²	1	1	yes	characteristic, complemented
182	C₄²×D₁₇	C₂²	1	1	yes	characteristic, complemented
183	#10587556	C₂²	1	1	yes	characteristic, complemented
184	#10587556	C₂²	1	1	yes	characteristic, complemented
185	C₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×C₁₇	C₂³	1	1	yes	characteristic
188	C₂³×D₁₇	C₂³	1	1	yes	characteristic
189	C₂³×D₁₇	C₂³	1	1	yes	characteristic
190	C₂×Q₈×C₁₇	C₂³	1	1	yes	characteristic
191	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
192	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
193	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₁₇	—	2	4	no	—
200	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
210	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
212	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
213	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
214	D₄×D₁₇	—	2	4	no	—
215	C₂×D₆₈	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₁₇	—	2	4	no	—
217	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
218	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
219	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
230	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
233	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
234	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
235	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
236	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
237	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
238	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
239	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
240	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
241	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
242	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
243	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
244	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
245	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
246	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
247	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
248	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
249	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
250	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
251	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
252	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
253	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
254	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
255	C₄²×C₁₇	C₂³	1	1	yes	characteristic
256	C₄²×C₁₇	C₂³	1	1	yes	characteristic
257	C₄²×C₁₇	C₂³	1	1	yes	characteristic
258	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
259	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
260	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
261	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
262	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
263	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
264	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
265	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
266	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
267	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
268	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
269	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
270	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
272	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
273	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
274	#63227	C₂³	1	1	yes	characteristic
275	#63227	C₂³	1	1	yes	characteristic
276	#63227	C₂³	1	1	yes	characteristic
277	#63227	C₂³	1	1	yes	characteristic
278	#63227	C₂³	1	1	yes	characteristic
279	#63227	C₂³	1	1	yes	characteristic
280	#63227	C₂³	1	1	yes	characteristic
281	#63227	C₂³	1	1	yes	characteristic
282	#63227	C₂³	1	1	yes	characteristic
283	#63227	C₂³	1	1	yes	characteristic
284	#63227	C₂³	1	1	yes	characteristic
285	#63227	C₂³	1	1	yes	characteristic
286	#63227	C₂³	1	1	yes	characteristic
287	#63227	C₂³	1	1	yes	characteristic
288	#63227	C₂³	1	1	yes	characteristic
289	#63227	C₂³	1	1	yes	characteristic
290	#63227	C₂³	1	1	yes	characteristic
291	#63227	C₂³	1	1	yes	characteristic
292	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
293	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
294	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
295	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
296	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
297	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
298	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
299	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
300	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
301	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
302	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
303	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
304	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
305	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
306	#63225	C₂³	1	1	yes	characteristic
307	#63225	C₂³	1	1	yes	characteristic
308	#63225	C₂³	1	1	yes	characteristic
309	#63225	C₂³	1	1	yes	characteristic
310	#63225	C₂³	1	1	yes	characteristic
311	#63225	C₂³	1	1	yes	characteristic
312	#63225	C₂³	1	1	yes	characteristic
313	#63225	C₂³	1	1	yes	characteristic
314	#63225	C₂³	1	1	yes	characteristic
315	#63225	C₂³	1	1	yes	characteristic
316	#63225	C₂³	1	1	yes	characteristic
317	#63225	C₂³	1	1	yes	characteristic
318	#63225	C₂³	1	1	yes	characteristic
319	#63225	C₂³	1	1	yes	characteristic
320	#63225	C₂³	1	1	yes	characteristic
321	#63225	C₂³	1	1	yes	characteristic
322	#63225	C₂³	1	1	yes	characteristic
323	#63225	C₂³	1	1	yes	characteristic
324	#63225	C₂³	1	1	yes	characteristic
325	#63225	C₂³	1	1	yes	characteristic
326	#63225	C₂³	1	1	yes	characteristic
327	#63225	C₂³	1	1	yes	characteristic
328	#63225	C₂³	1	1	yes	characteristic
329	#63225	C₂³	1	1	yes	characteristic
330	#63225	C₂³	1	1	yes	characteristic
331	#63225	C₂³	1	1	yes	characteristic
332	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
333	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
334	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
335	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
336	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
337	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
338	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
339	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
340	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
341	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
342	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
343	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
344	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
345	C₂³×C₁₇	—	2	2	no	—
346	C₂³×C₁₇	—	4	1	no	—
347	C₂³×C₁₇	—	4	1	no	—
348	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
349	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
350	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
351	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
352	C₂²×D₁₇	—	2	2	no	—
353	C₂²×D₁₇	—	4	1	no	—
354	C₂²×D₁₇	—	4	1	no	—
355	C₂²×D₁₇	—	4	1	no	—
356	C₂²×D₁₇	—	4	1	no	—
357	C₂²×D₁₇	#41	1	4	yes	—
358	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
359	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
360	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
361	Q₈×C₁₇	—	4	1	no	—
362	D₄×C₁₇	—	2	2	no	—
363	D₄×C₁₇	—	4	1	no	—
364	D₄×C₁₇	—	4	1	no	—
365	C₂×C₄×C₁₇	—	2	2	no	—
366	C₂×C₄×C₁₇	—	4	1	no	—
367	C₂×C₄×C₁₇	—	4	1	no	—
368	C₂×C₄×C₁₇	—	4	1	no	—
369	C₂×C₄×C₁₇	—	4	1	no	—
370	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
371	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
372	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
374	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
375	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
376	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
377	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
378	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
379	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
380	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
381	C₂²⋊D₁₇	—	2	2	no	—
382	C₂²⋊D₁₇	—	2	2	no	—
383	C₂²⋊D₁₇	—	2	2	no	—
384	C₂²⋊D₁₇	—	2	2	no	—
385	C₂²⋊D₁₇	—	2	2	no	—
386	C₂²⋊D₁₇	—	2	2	no	—
387	C₂²⋊D₁₇	—	4	1	no	—
388	C₂²⋊D₁₇	—	4	1	no	—
389	C₂×Dic₁₇	—	2	2	no	—
390	C₂×Dic₁₇	—	2	2	no	—
391	C₂×Dic₁₇	—	4	1	no	—
392	C₂×Dic₁₇	—	4	1	no	—
393	C₂×Dic₁₇	—	4	1	no	—
394	C₂×Dic₁₇	—	4	1	no	—
395	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
396	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
397	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
398	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
399	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
400	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
401	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
402	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
403	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
404	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
405	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
406	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
407	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
408	D₆₈	—	2	2	no	—
409	C₄×D₁₇	—	2	2	no	—
410	C₄×D₁₇	—	2	2	no	—
411	C₄×D₁₇	—	2	2	no	—
412	C₄×D₁₇	—	2	2	no	—
413	C₄×D₁₇	—	2	2	no	—
414	C₄×D₁₇	—	4	1	no	—
415	C₄×D₁₇	—	4	1	no	—
416	C₄×D₁₇	—	4	1	no	—
417	C₄×D₁₇	—	4	1	no	—
418	C₄×D₁₇	—	4	1	no	—
419	C₄×D₁₇	—	4	1	no	—
420	C₄×D₁₇	—	4	1	no	—
421	C₄×D₁₇	—	4	1	no	—
422	Dic₃₄	—	4	1	no	—
423	Dic₃₄	—	4	1	no	—
424	Dic₃₄	—	4	1	no	—
425	#3491	—	17	1	no	maximal, Sylow
426	C₂²×C₁₇	—	2	1	no	—
427	C₂²×C₁₇	—	2	1	no	—
428	C₂²×C₁₇	—	2	1	no	—
429	C₂²×C₁₇	—	2	1	no	—
430	C₂²×C₁₇	—	2	1	no	—
431	C₂²×C₁₇	—	2	1	no	—
432	C₂²×C₁₇	—	2	1	no	—
433	C₂²×C₁₇	—	2	1	no	—
434	C₂²×C₁₇	—	2	1	no	—
435	C₂²×C₁₇	—	2	1	no	—
436	C₂²×C₁₇	—	2	1	no	—
437	C₂²×C₁₇	—	8	2	no	—
438	C₂²×C₁₇	C₂×#41	1	2	yes	—
439	C₂²×C₁₇	C₂⁵	1	1	yes	characteristic
440	C₂×D₁₇	—	2	1	no	—
441	C₂×D₁₇	—	2	1	no	—
442	C₂×D₁₇	—	2	1	no	—
443	C₂×D₁₇	—	2	1	no	—
444	C₂×D₁₇	—	2	1	no	—
445	C₂×D₁₇	—	2	1	no	—
446	C₂×D₁₇	—	2	1	no	—
447	C₂×D₁₇	—	4	4	no	—
448	C₂×D₁₇	—	8	2	no	—
449	C₂×D₁₇	C₂×#41	1	2	yes	—
450	C₂×D₁₇	C₂×#41	1	2	yes	—
451	C₄×C₁₇	—	2	1	no	—
452	C₄×C₁₇	—	2	1	no	—
453	C₄×C₁₇	—	2	1	no	—
454	C₄×C₁₇	—	2	1	no	—
455	C₄×C₁₇	—	2	1	no	—
456	C₄×C₁₇	—	2	1	no	—
457	C₄×C₁₇	—	2	1	no	—
458	C₄×C₁₇	—	2	1	no	—
459	C₄×C₁₇	—	2	1	no	—
460	C₄×C₁₇	—	2	1	no	—
461	C₄×C₁₇	—	2	1	no	—
462	Dic₁₇	—	2	1	no	—
463	Dic₁₇	—	2	1	no	—
464	Dic₁₇	—	2	1	no	—
465	Dic₁₇	—	2	1	no	—
466	Dic₁₇	—	2	1	no	—
467	Dic₁₇	—	2	1	no	—
468	Dic₁₇	—	2	1	no	—
469	Dic₁₇	—	2	1	no	—
470	Dic₁₇	—	2	1	no	—
471	Dic₁₇	—	2	1	no	—
472	Dic₁₇	—	2	1	no	—
473	Dic₁₇	—	2	1	no	—
474	Dic₁₇	—	2	1	no	—
475	#552	—	17	1	no	—
476	#552	—	17	1	no	—
477	#552	—	17	1	no	—
478	#552	—	17	1	no	—
479	#552	—	17	1	no	—
480	#552	—	17	1	no	—
481	#552	—	17	1	no	—
482	#552	—	17	1	no	—
483	#551	—	17	1	no	—
484	#551	—	17	1	no	—
485	#551	—	17	1	no	—
486	#551	—	17	1	no	—
487	#551	—	17	1	no	—
488	#551	—	17	1	no	—
489	#551	—	17	1	no	—
490	#551	D₁₇	1	1	yes	characteristic, complemented
491	#543	—	17	1	no	—
492	#539	—	17	1	no	—
493	#539	—	17	1	no	—
494	#539	—	17	1	no	—
495	#539	—	17	1	no	—
496	#534	—	17	1	no	—
497	#529	—	17	1	no	—
498	#529	—	17	1	no	—
499	#529	—	17	1	no	—
500	#529	—	17	1	no	—
501	C₂×#123	—	17	1	no	—
502	C₂×#123	—	17	1	no	—
503	#518	—	17	1	no	—
504	#518	—	17	1	no	—
505	C₂×#117	—	17	1	no	—
506	C₂×C₁₇	—	2	2	no	—
507	C₂×C₁₇	—	4	1	no	—
508	C₂×C₁₇	—	4	1	no	—
509	C₂×C₁₇	—	4	1	no	—
510	C₂×C₁₇	C₂²×#41	1	1	yes	characteristic
511	C₂×C₁₇	#585	1	1	yes	characteristic
512	C₂×C₁₇	#585	1	1	yes	characteristic
513	D₁₇	—	2	2	no	—
514	D₁₇	—	2	2	no	—
515	D₁₇	—	4	1	no	—
516	C₂²×D₄	—	17	1	no	—
517	C₂²×D₄	—	17	1	no	—
518	C₂³×C₄	—	17	1	no	—
519	#126	—	17	1	no	—
520	#126	—	17	1	no	—
521	#126	—	17	1	no	—
522	#126	—	17	1	no	—
523	#126	—	17	1	no	—
524	#126	—	17	1	no	—
525	#126	—	17	1	no	—
526	#126	—	17	1	no	—
527	#126	—	17	1	no	—
528	#126	—	17	1	no	—
529	#126	—	17	1	no	—
530	#126	—	17	1	no	—
531	#126	—	17	1	no	—
532	#126	—	17	1	no	—
533	#126	C₂×D₁₇	1	1	yes	characteristic, complemented
534	#126	C₂×D₁₇	1	1	yes	characteristic, complemented
535	#125	—	17	1	no	—
536	#125	—	17	1	no	—
537	#125	—	17	1	no	—
538	#125	—	17	1	no	—
539	#125	—	17	1	no	—
540	#125	—	17	1	no	—
541	#125	—	17	1	no	—
542	#125	—	17	1	no	—
543	#125	—	17	1	no	—
544	#125	—	17	1	no	—
545	#125	—	17	1	no	—
546	#125	—	17	1	no	—
547	#124	—	17	1	no	—
548	#124	—	17	1	no	—
549	#124	—	17	1	no	—
550	#124	C₂×D₁₇	1	1	yes	characteristic, complemented
551	#123	—	17	1	no	—
552	#123	—	17	1	no	—
553	#123	—	17	1	no	—
554	#123	—	17	1	no	—
555	#123	—	17	1	no	—
556	#123	—	17	1	no	—
557	#123	—	17	1	no	—
558	#123	—	17	1	no	—
559	#123	—	17	1	no	—
560	#123	—	17	1	no	—
561	#123	—	17	1	no	—
562	#123	—	17	1	no	—
563	#123	—	17	1	no	—
564	#123	—	17	1	no	—
565	#123	—	17	1	no	—
566	#123	—	17	1	no	—
567	#123	—	17	1	no	—
568	#123	—	17	1	no	—
569	#123	—	17	1	no	—
570	#123	—	17	1	no	—
571	#123	—	17	1	no	—
572	#123	—	17	1	no	—
573	#123	—	17	1	no	—
574	#123	—	17	1	no	—
575	#123	—	17	1	no	—
576	#123	C₂×D₁₇	1	1	yes	characteristic
577	#123	C₂×D₁₇	1	1	yes	characteristic, complemented
578	#123	C₂×D₁₇	1	1	yes	characteristic, complemented
579	C₂²⋊Q₈	—	17	1	no	—
580	C₂²⋊Q₈	—	17	1	no	—
581	C₂²⋊Q₈	—	17	1	no	—
582	C₂²⋊Q₈	—	17	1	no	—
583	C₂²⋊Q₈	—	17	1	no	—
584	C₂²⋊Q₈	—	17	1	no	—
585	C₂²⋊Q₈	—	17	1	no	—
586	C₂²⋊Q₈	—	17	1	no	—
587	C₂²⋊Q₈	—	17	1	no	—
588	C₂²⋊Q₈	—	17	1	no	—
589	C₂²⋊Q₈	—	17	1	no	—
590	C₂²⋊Q₈	—	17	1	no	—
591	C₂²⋊Q₈	—	17	1	no	—
592	C₂²⋊Q₈	—	17	1	no	—
593	C₂²⋊Q₈	—	17	1	no	—
594	C₂²⋊Q₈	—	17	1	no	—
595	C₂²⋊Q₈	—	17	1	no	—
596	C₂²⋊Q₈	—	17	1	no	—
597	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
598	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
599	#121	—	17	1	no	—
600	#121	—	17	1	no	—
601	#121	—	17	1	no	—
602	#121	—	17	1	no	—
603	#120	—	17	1	no	—
604	#120	—	17	1	no	—
605	#120	—	17	1	no	—
606	#120	C₂×D₁₇	1	1	yes	characteristic
607	C₄×Q₈	—	17	1	no	—
608	C₄×Q₈	—	17	1	no	—
609	C₄×Q₈	—	17	1	no	—
610	C₄×Q₈	—	17	1	no	—
611	C₄×D₄	—	17	1	no	—
612	C₄×D₄	—	17	1	no	—
613	C₄×D₄	—	17	1	no	—
614	C₄×D₄	—	17	1	no	—
615	C₄×D₄	—	17	1	no	—
616	C₄×D₄	—	17	1	no	—
617	C₄×D₄	—	17	1	no	—
618	C₄×D₄	—	17	1	no	—
619	C₄×D₄	—	17	1	no	—
620	C₄×D₄	—	17	1	no	—
621	C₄×D₄	—	17	1	no	—
622	C₄×D₄	—	17	1	no	—
623	C₄×D₄	—	17	1	no	—
624	C₄×D₄	—	17	1	no	—
625	C₄×D₄	—	17	1	no	—
626	C₄×D₄	—	17	1	no	—
627	C₄×D₄	—	17	1	no	—
628	C₄×D₄	—	17	1	no	—
629	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
630	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic, complemented
631	#117	—	17	1	no	—
632	#117	—	17	1	no	—
633	#117	—	17	1	no	—
634	#117	—	17	1	no	—
635	#117	—	17	1	no	—
636	#117	—	17	1	no	—
637	#117	—	17	1	no	—
638	#117	—	17	1	no	—
639	#117	—	17	1	no	—
640	#117	—	17	1	no	—
641	#117	—	17	1	no	—
642	#117	—	17	1	no	—
643	#117	—	17	1	no	—
644	#117	—	17	1	no	—
645	#117	—	17	1	no	—
646	#117	—	17	1	no	—
647	#117	—	17	1	no	—
648	#117	—	17	1	no	—
649	#117	C₂×D₁₇	1	1	yes	characteristic, complemented
650	#117	C₂×D₁₇	1	1	yes	characteristic, complemented
651	C₂×C₄⋊C₄	—	17	1	no	—
652	C₂×C₄⋊C₄	—	17	1	no	—
653	C₂×C₄⋊C₄	—	17	1	no	—
654	C₂×C₄⋊C₄	—	17	1	no	—
655	C₂×C₄⋊C₄	—	17	1	no	—
656	C₂×C₄⋊C₄	—	17	1	no	—
657	C₂×C₂²⋊C₄	—	17	1	no	—
658	C₂×C₂²⋊C₄	—	17	1	no	—
659	C₂×C₂²⋊C₄	—	17	1	no	—
660	C₂×C₂²⋊C₄	—	17	1	no	—
661	C₂×C₂²⋊C₄	—	17	1	no	—
662	C₂×C₂²⋊C₄	—	17	1	no	—
663	C₂×C₂²⋊C₄	—	17	1	no	—
664	C₂×C₂²⋊C₄	—	17	1	no	—
665	C₂×C₂²⋊C₄	—	17	1	no	—
666	C₂×C₂²⋊C₄	—	17	1	no	—
667	C₂×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic, complemented
668	C₂×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic, complemented
669	C₂×C₄²	—	17	1	no	—
670	C₂×C₄²	—	17	1	no	—
671	C₁₇	#3491	1	1	yes	characteristic, complemented, Sylow
672	C₂⁴	—	17	1	no	—
673	C₂⁴	—	17	1	no	—
674	C₂⁴	C₂²×D₁₇	1	1	yes	characteristic
675	C₂×Q₈	—	17	1	no	—
676	C₂×Q₈	—	17	1	no	—
677	C₂×Q₈	—	17	1	no	—
678	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
679	C₂×D₄	—	17	1	no	—
680	C₂×D₄	—	17	1	no	—
681	C₂×D₄	—	17	1	no	—
682	C₂×D₄	—	17	1	no	—
683	C₂×D₄	—	17	1	no	—
684	C₂×D₄	—	17	1	no	—
685	C₂×D₄	—	17	1	no	—
686	C₂×D₄	—	17	1	no	—
687	C₂×D₄	—	17	1	no	—
688	C₂×D₄	—	34	4	no	—
689	C₂×D₄	—	34	4	no	—
690	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
691	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
692	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
693	C₂²×C₄	—	17	1	no	—
694	C₂²×C₄	—	17	1	no	—
695	C₂²×C₄	—	17	1	no	—
696	C₂²×C₄	—	17	1	no	—
697	C₂²×C₄	—	17	1	no	—
698	C₂²×C₄	—	17	1	no	—
699	C₂²×C₄	—	17	1	no	—
700	C₂²×C₄	—	17	1	no	—
701	C₂²×C₄	—	17	1	no	—
702	C₂²×C₄	—	17	1	no	—
703	C₂²×C₄	—	17	1	no	—
704	C₂²×C₄	—	17	1	no	—
705	C₂²×C₄	—	17	1	no	—
706	C₂²×C₄	—	17	1	no	—
707	C₂²×C₄	—	17	1	no	—
708	C₂²×C₄	—	17	1	no	—
709	C₂²×C₄	—	17	1	no	—
710	C₂²×C₄	—	17	1	no	—
711	C₂²×C₄	—	17	1	no	—
712	C₂²×C₄	—	34	4	no	—
713	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
714	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
715	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
716	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
717	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
718	C₄⋊C₄	—	17	1	no	—
719	C₄⋊C₄	—	17	1	no	—
720	C₄⋊C₄	—	17	1	no	—
721	C₄⋊C₄	—	17	1	no	—
722	C₄⋊C₄	—	17	1	no	—
723	C₄⋊C₄	—	17	1	no	—
724	C₄⋊C₄	—	17	1	no	—
725	C₄⋊C₄	—	17	1	no	—
726	C₄⋊C₄	—	17	1	no	—
727	C₄⋊C₄	—	17	1	no	—
728	C₄⋊C₄	—	17	1	no	—
729	C₄⋊C₄	—	17	1	no	—
730	C₄⋊C₄	—	17	1	no	—
731	C₄⋊C₄	—	17	1	no	—
732	C₄⋊C₄	—	17	1	no	—
733	C₄⋊C₄	—	17	1	no	—
734	C₄⋊C₄	—	17	1	no	—
735	C₄⋊C₄	—	17	1	no	—
736	C₄⋊C₄	—	17	1	no	—
737	C₄⋊C₄	—	17	1	no	—
738	C₄⋊C₄	—	17	1	no	—
739	C₄⋊C₄	—	17	1	no	—
740	C₄⋊C₄	—	17	1	no	—
741	C₄⋊C₄	—	17	1	no	—
742	C₄⋊C₄	—	17	1	no	—
743	C₄⋊C₄	—	17	1	no	—
744	C₄⋊C₄	—	17	1	no	—
745	C₄⋊C₄	—	17	1	no	—
746	C₄⋊C₄	—	17	1	no	—
747	C₄⋊C₄	—	17	1	no	—
748	C₄⋊C₄	—	17	1	no	—
749	C₄⋊C₄	—	17	1	no	—
750	C₄⋊C₄	—	17	1	no	—
751	C₄⋊C₄	—	17	1	no	—
752	C₄⋊C₄	—	17	1	no	—
753	C₄⋊C₄	—	17	1	no	—
754	C₄⋊C₄	—	17	1	no	—
755	C₄⋊C₄	—	17	1	no	—
756	C₄⋊C₄	—	17	1	no	—
757	C₄⋊C₄	—	17	1	no	—
758	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
759	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
760	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
761	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
762	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
763	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
764	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
765	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
766	C₂²⋊C₄	—	17	1	no	—
767	C₂²⋊C₄	—	17	1	no	—
768	C₂²⋊C₄	—	17	1	no	—
769	C₂²⋊C₄	—	17	1	no	—
770	C₂²⋊C₄	—	17	1	no	—
771	C₂²⋊C₄	—	17	1	no	—
772	C₂²⋊C₄	—	17	1	no	—
773	C₂²⋊C₄	—	17	1	no	—
774	C₂²⋊C₄	—	17	1	no	—
775	C₂²⋊C₄	—	17	1	no	—
776	C₂²⋊C₄	—	17	1	no	—
777	C₂²⋊C₄	—	17	1	no	—
778	C₂²⋊C₄	—	17	1	no	—
779	C₂²⋊C₄	—	17	1	no	—
780	C₂²⋊C₄	—	17	1	no	—
781	C₂²⋊C₄	—	17	1	no	—
782	C₂²⋊C₄	—	17	1	no	—
783	C₂²⋊C₄	—	17	1	no	—
784	C₂²⋊C₄	—	17	1	no	—
785	C₂²⋊C₄	—	17	1	no	—
786	C₂²⋊C₄	—	17	1	no	—
787	C₂²⋊C₄	—	17	1	no	—
788	C₂²⋊C₄	—	17	1	no	—
789	C₂²⋊C₄	—	17	1	no	—
790	C₂²⋊C₄	—	17	1	no	—
791	C₂²⋊C₄	—	17	1	no	—
792	C₂²⋊C₄	—	17	1	no	—
793	C₂²⋊C₄	—	17	1	no	—
794	C₂²⋊C₄	—	17	1	no	—
795	C₂²⋊C₄	—	17	1	no	—
796	C₂²⋊C₄	—	17	1	no	—
797	C₂²⋊C₄	—	17	1	no	—
798	C₂²⋊C₄	—	17	1	no	—
799	C₂²⋊C₄	—	17	1	no	—
800	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
801	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
802	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
803	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
804	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
805	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
806	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
807	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
808	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
809	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
810	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
811	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
812	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
813	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
814	C₄²	—	17	1	no	—
815	C₄²	—	17	1	no	—
816	C₄²	—	17	1	no	—
817	C₄²	—	17	1	no	—
818	C₄²	—	17	1	no	—
819	C₄²	—	17	1	no	—
820	C₄²	—	17	1	no	—
821	C₄²	—	17	1	no	—
822	C₄²	—	17	1	no	—
823	C₄²	—	17	1	no	—
824	C₄²	—	17	1	no	—
825	C₄²	—	17	1	no	—
826	C₄²	—	17	1	no	—
827	C₄²	C₂²×D₁₇	1	1	yes	characteristic
828	C₄²	C₂²×D₁₇	1	1	yes	characteristic
829	C₄²	C₂²×D₁₇	1	1	yes	characteristic
830	C₂³	—	2	2	no	—
831	C₂³	—	4	1	no	—
832	C₂³	—	4	1	no	—
833	C₂³	—	17	1	no	—
834	C₂³	—	17	1	no	—
835	C₂³	—	17	4	no	—
836	C₂³	—	17	1	no	—
837	C₂³	—	34	2	no	—
838	C₂³	—	68	1	no	—
839	C₂³	—	68	1	no	—
840	C₂³	—	68	1	no	—
841	C₂³	—	68	1	no	—
842	C₂³	C₂³×D₁₇	1	1	yes	characteristic
843	C₂³	C₂³×D₁₇	1	1	yes	characteristic
844	C₂³	C₂³×D₁₇	1	1	yes	characteristic
845	C₂³	C₂³×D₁₇	1	1	yes	characteristic
846	Q₈	—	4	1	no	—
847	Q₈	—	68	1	no	—
848	Q₈	—	68	1	no	—
849	Q₈	—	68	1	no	—
850	D₄	—	2	2	no	—
851	D₄	—	4	1	no	—
852	D₄	—	4	1	no	—
853	D₄	—	34	2	no	—
854	D₄	—	34	2	no	—
855	D₄	—	34	2	no	—
856	D₄	—	34	2	no	—
857	D₄	—	34	2	no	—
858	D₄	—	34	2	no	—
859	D₄	—	34	2	no	—
860	D₄	—	68	1	no	—
861	D₄	—	68	1	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	4	1	no	—
864	C₂×C₄	—	4	1	no	—
865	C₂×C₄	—	4	1	no	—
866	C₂×C₄	—	4	1	no	—
867	C₂×C₄	—	17	1	no	—
868	C₂×C₄	—	17	1	no	—
869	C₂×C₄	—	17	1	no	—
870	C₂×C₄	—	17	1	no	—
871	C₂×C₄	—	17	1	no	—
872	C₂×C₄	—	17	1	no	—
873	C₂×C₄	—	17	1	no	—
874	C₂×C₄	—	17	1	no	—
875	C₂×C₄	—	17	1	no	—
876	C₂×C₄	—	17	1	no	—
877	C₂×C₄	—	17	1	no	—
878	C₂×C₄	—	17	1	no	—
879	C₂×C₄	—	17	1	no	—
880	C₂×C₄	—	34	2	no	—
881	C₂×C₄	—	34	2	no	—
882	C₂×C₄	—	34	2	no	—
883	C₂×C₄	—	34	2	no	—
884	C₂×C₄	—	34	2	no	—
885	C₂×C₄	—	34	2	no	—
886	C₂×C₄	—	34	2	no	—
887	C₂×C₄	—	68	1	no	—
888	C₂×C₄	—	68	1	no	—
889	C₂×C₄	—	68	1	no	—
890	C₂×C₄	—	68	1	no	—
891	C₂×C₄	—	68	1	no	—
892	C₂×C₄	—	68	1	no	—
893	C₂×C₄	—	68	1	no	—
894	C₂×C₄	—	68	1	no	—
895	C₂×C₄	—	68	1	no	—
896	C₂×C₄	—	68	1	no	—
897	C₂×C₄	—	68	1	no	—
898	C₂×C₄	—	68	1	no	—
899	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
900	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
901	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
902	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
903	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
904	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
905	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
906	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
907	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
908	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
909	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
910	C₂²	—	2	1	no	—
911	C₂²	—	2	1	no	—
912	C₂²	—	2	1	no	—
913	C₂²	—	2	1	no	—
914	C₂²	—	2	1	no	—
915	C₂²	—	2	1	no	—
916	C₂²	—	2	1	no	—
917	C₂²	—	2	1	no	—
918	C₂²	—	2	1	no	—
919	C₂²	—	2	1	no	—
920	C₂²	—	2	1	no	—
921	C₂²	—	8	2	no	—
922	C₂²	—	17	2	no	—
923	C₂²	—	17	2	no	—
924	C₂²	—	34	1	no	—
925	C₂²	—	34	1	no	—
926	C₂²	—	34	1	no	—
927	C₂²	—	34	1	no	—
928	C₂²	—	34	1	no	—
929	C₂²	—	34	1	no	—
930	C₂²	—	34	1	no	—
931	C₂²	—	68	4	no	—
932	C₂²	—	136	2	no	—
933	C₂²	#41×D₁₇	1	2	yes	—
934	C₂²	C₂⁴×D₁₇	1	1	yes	characteristic
935	C₄	—	2	1	no	—
936	C₄	—	2	1	no	—
937	C₄	—	2	1	no	—
938	C₄	—	2	1	no	—
939	C₄	—	2	1	no	—
940	C₄	—	2	1	no	—
941	C₄	—	2	1	no	—
942	C₄	—	2	1	no	—
943	C₄	—	2	1	no	—
944	C₄	—	2	1	no	—
945	C₄	—	2	1	no	—
946	C₄	—	34	1	no	—
947	C₄	—	34	1	no	—
948	C₄	—	34	1	no	—
949	C₄	—	34	1	no	—
950	C₄	—	34	1	no	—
951	C₄	—	34	1	no	—
952	C₄	—	34	1	no	—
953	C₄	—	34	1	no	—
954	C₄	—	34	1	no	—
955	C₄	—	34	1	no	—
956	C₄	—	34	1	no	—
957	C₄	—	34	1	no	—
958	C₄	—	34	1	no	—
959	C₂	—	2	2	no	—
960	C₂	—	4	1	no	—
961	C₂	—	4	1	no	—
962	C₂	—	4	1	no	—
963	C₂	—	34	2	no	—
964	C₂	—	34	2	no	—
965	C₂	—	68	1	no	—
966	C₂	C₂×#41×D₁₇	1	1	yes	characteristic
967	C₂	#11763644	1	1	yes	characteristic
968	C₂	#11763645	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₇
commutator, socle, cosocle	C₂²×C₁₇	C₂⁵
Fitting	C₁₇×#551	C₂
prime radical	#11763369	C₂
hypercenter	#551	D₁₇
hypocenter	C₁₇	#3491
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #551

Complements

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

N	H ≅ G/N	type
1. #11763501	C₂	semidirect
2. #11763499	C₂	semidirect
3. #11763498	C₂	semidirect
4. #11763496	C₂	semidirect
5. #11763495	C₂	semidirect
6. #11763495	C₂	semidirect
7. #11763493	C₂	semidirect
8. #11763492	C₂	semidirect
9. #11763490	C₂	semidirect
10. #11763489	C₂	semidirect
11. #11763488	C₂	semidirect
12. #11763487	C₂	semidirect
13. #11763485	C₂	semidirect
14. #11763485	C₂	semidirect
15. #11763482	C₂	semidirect
16. #11763434	C₂	semidirect
17. #11763405	C₂	semidirect
18. #11763402	C₂	semidirect
19. #11763402	C₂	semidirect
20. #11763400	C₂	semidirect
22. #11763342	C₂	semidirect
23. #11763341	C₂	semidirect
24. #11763338	C₂	semidirect
25. #11763337	C₂	semidirect
26. C₂×#10587569	C₂	semidirect
27. #123×D₁₇	C₂	semidirect
28. #11763282	C₂	semidirect
29. #11763281	C₂	semidirect
30. #117×D₁₇	C₂	semidirect
31. C₁₇×#551	C₂	semidirect
35. C₁₇×#126	C₂²	semidirect
36. C₁₇×#126	C₂²	semidirect
37. C₁₇×#124	C₂²	semidirect
39. C₁₇×#123	C₂²	semidirect
40. C₁₇×#123	C₂²	semidirect
41. C₁₇×C₂²⋊Q₈	C₂²	semidirect
42. C₁₇×C₂²⋊Q₈	C₂²	semidirect
45. C₄×D₄×C₁₇	C₂²	semidirect
46. C₁₇×#117	C₂²	semidirect
47. C₁₇×#117	C₂²	semidirect
48. C₂×C₂²⋊C₄×C₁₇	C₂²	semidirect
49. C₂×C₂²⋊C₄×C₁₇	C₂²	semidirect
51. C₂×C₂²⋊Dic₁₇	C₂²	semidirect
52. C₂×C₂²⋊Dic₁₇	C₂²	semidirect
53. #10587632	C₂²	semidirect
54. #10587632	C₂²	semidirect
55. #10587632	C₂²	semidirect
56. Q₈×Dic₁₇	C₂²	semidirect
61. #10587622	C₂²	semidirect
64. #10587621	C₂²	semidirect
65. #10587621	C₂²	semidirect
67. D₄×Dic₁₇	C₂²	semidirect
69. #10587615	C₂²	semidirect
73. C₄×C₂²⋊D₁₇	C₂²	semidirect
74. C₄×C₂²⋊D₁₇	C₂²	semidirect
75. C₄×C₂²⋊D₁₇	C₂²	semidirect
76. C₄×C₂²⋊D₁₇	C₂²	semidirect
78. C₂×#63227	C₂²	semidirect
79. #10587612	C₂²	semidirect
80. #10587612	C₂²	semidirect
81. #10587612	C₂²	semidirect
82. C₂×C₄⋊Dic₁₇	C₂²	semidirect
83. #10587610	C₂²	semidirect
84. #10587610	C₂²	semidirect
85. #10587610	C₂²	semidirect
86. C₂×#63225	C₂²	semidirect
87. #10587584	C₂²	semidirect
88. #10587584	C₂²	semidirect
89. #10587584	C₂²	semidirect
90. #10587583	C₂²	semidirect
91. #10587583	C₂²	semidirect
92. #10587582	C₂²	semidirect
93. #10587582	C₂²	semidirect
94. #10587582	C₂²	semidirect
95. #10587582	C₂²	semidirect
96. #10587582	C₂²	semidirect
97. #10587580	C₂²	semidirect
98. #10587580	C₂²	semidirect
99. #10587579	C₂²	semidirect
100. #10587578	C₂²	semidirect
101. #10587578	C₂²	semidirect
102. #10587578	C₂²	semidirect
103. #10587578	C₂²	semidirect
104. C₄⋊C₄×D₁₇	C₂²	semidirect
105. C₄⋊C₄×D₁₇	C₂²	semidirect
106. C₄⋊C₄×D₁₇	C₂²	semidirect
107. C₄⋊C₄×D₁₇	C₂²	semidirect
108. #10587576	C₂²	semidirect
109. #10587576	C₂²	semidirect
110. #10587576	C₂²	semidirect
111. #10587576	C₂²	semidirect
112. #10587575	C₂²	semidirect
113. #10587575	C₂²	semidirect
114. #10587575	C₂²	semidirect
115. #10587575	C₂²	semidirect
116. #10587575	C₂²	semidirect
117. #10587575	C₂²	semidirect
118. #10587573	C₂²	semidirect
121. #10587572	C₂²	semidirect
122. #10587571	C₂²	semidirect
123. #10587571	C₂²	semidirect
132. #10587569	C₂²	semidirect
133. #10587569	C₂²	semidirect
134. #10587569	C₂²	semidirect
135. #10587569	C₂²	semidirect
136. #10587569	C₂²	semidirect
137. #10587569	C₂²	semidirect
138. #10587569	C₂²	semidirect
139. #10587569	C₂²	semidirect
143. #10587567	C₂²	semidirect
144. #10587567	C₂²	semidirect
145. #10587567	C₂²	semidirect
146. #10587567	C₂²	semidirect
150. C₂²⋊C₄×D₁₇	C₂²	semidirect
151. C₂²⋊C₄×D₁₇	C₂²	semidirect
152. C₂²⋊C₄×D₁₇	C₂²	semidirect
153. #10587565	C₂²	semidirect
154. #10587565	C₂²	semidirect
155. #10587565	C₂²	semidirect
156. #10587565	C₂²	semidirect
157. #10587565	C₂²	semidirect
158. #10587565	C₂²	semidirect
159. #10587565	C₂²	semidirect
160. #10587565	C₂²	semidirect
161. #10587565	C₂²	semidirect
162. #10587565	C₂²	semidirect
163. #10587564	C₂²	semidirect
164. #10587564	C₂²	semidirect
165. #10587564	C₂²	semidirect
166. #10587564	C₂²	semidirect
167. #10587564	C₂²	semidirect
168. #10587563	C₂²	semidirect
169. #10587563	C₂²	semidirect
170. #10587563	C₂²	semidirect
171. #10587563	C₂²	semidirect
172. #10587563	C₂²	semidirect
173. #10587563	C₂²	semidirect
174. #10587563	C₂²	semidirect
175. #10587562	C₂²	semidirect
176. C₄×D₆₈	C₂²	semidirect
177. #10587558	C₂²	semidirect
178. #10587558	C₂²	semidirect
179. #10587558	C₂²	semidirect
180. #10587558	C₂²	semidirect
181. C₄²×D₁₇	C₂²	semidirect
182. C₄²×D₁₇	C₂²	semidirect
183. #10587556	C₂²	semidirect
184. #10587556	C₂²	semidirect
185. C₄×Dic₃₄	C₂²	semidirect
186. C₄×Dic₃₄	C₂²	semidirect
490. #551	D₁₇	semidirect
533. #126	C₂×D₁₇	semidirect
534. #126	C₂×D₁₇	semidirect
550. #124	C₂×D₁₇	semidirect
577. #123	C₂×D₁₇	semidirect
578. #123	C₂×D₁₇	semidirect
597. C₂²⋊Q₈	C₂×D₁₇	semidirect
598. C₂²⋊Q₈	C₂×D₁₇	semidirect
630. C₄×D₄	C₂×D₁₇	semidirect
649. #117	C₂×D₁₇	semidirect
650. #117	C₂×D₁₇	semidirect
667. C₂×C₂²⋊C₄	C₂×D₁₇	semidirect
668. C₂×C₂²⋊C₄	C₂×D₁₇	semidirect
671. C₁₇	#3491	semidirect

Maximal subgroups

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

subgroup	index
#11763501	2
#11763499	2
#11763498	2
#11763496	2
#11763495	2
#11763493	2
#11763492	2
#11763490	2
#11763489	2
#11763488	2
#11763487	2
#11763485	2
#11763482	2
#11763434	2
#11763405	2
#11763402	2
#11763400	2
#11763369	2
#11763342	2
#11763341	2
#11763338	2
#11763337	2
C₂×#10587569	2
#123×D₁₇	2
#11763282	2
#11763281	2
#117×D₁₇	2
C₁₇×#551	2
#3491	17