Subgroups — #14542510

Order 2176.

1142 conjugacy classes of subgroups.

The subgroup lattice has 1030 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11763522	C₂	1	1	yes	maximal, characteristic, complemented
2	#11763521	C₂	1	1	yes	maximal, characteristic, complemented
3	#11763510	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763510	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763508	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763504	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763485	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763483	C₂	1	1	yes	maximal, characteristic, complemented
9	#11763482	C₂	1	1	yes	maximal, characteristic, complemented
10	#11763461	C₂	1	1	yes	maximal, characteristic, complemented
11	#11763457	C₂	1	1	yes	maximal, characteristic, complemented
12	#11763455	C₂	1	1	yes	maximal, characteristic, complemented
13	#11763450	C₂	1	1	yes	maximal, characteristic, complemented
14	#11763449	C₂	1	1	yes	maximal, characteristic, complemented
15	#11763446	C₂	1	1	yes	maximal, characteristic, complemented
16	#11763438	C₂	1	1	yes	maximal, characteristic, complemented
17	#11763429	C₂	1	1	yes	maximal, characteristic, complemented
18	#11763425	C₂	1	1	yes	maximal, characteristic, complemented
19	#11763411	C₂	1	1	yes	maximal, characteristic, complemented
20	#11763411	C₂	1	1	yes	maximal, characteristic, complemented
21	#11763374	C₂	1	1	yes	maximal, characteristic, complemented
22	#11763358	C₂	1	1	yes	maximal, characteristic, complemented
23	#11763356	C₂	1	1	yes	maximal, characteristic, complemented
24	#11763342	C₂	1	1	yes	maximal, characteristic, complemented
25	#11763337	C₂	1	1	yes	maximal, characteristic, complemented
26	#11763317	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#10587570	C₂	1	1	yes	maximal, characteristic, complemented
28	#11763288	C₂	1	1	yes	maximal, characteristic, complemented
29	#11763282	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	C₂²×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
34	C₂×#63256	C₂²	1	1	yes	characteristic, complemented
35	C₂×#63254	C₂²	1	1	yes	characteristic
36	C₂×#63254	C₂²	1	1	yes	characteristic, complemented
37	C₂×#63252	C₂²	1	1	yes	characteristic, complemented
38	C₂×#63252	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₆₈	C₂²	1	1	yes	characteristic
40	C₂²×C₄×D₁₇	C₂²	1	1	yes	characteristic
41	C₁₇×#126	C₂²	1	1	yes	characteristic, complemented
42	C₁₇×#126	C₂²	1	1	yes	characteristic, complemented
43	C₁₇×#124	C₂²	1	1	yes	characteristic, complemented
44	C₁₇×#123	C₂²	1	1	yes	characteristic
45	C₁₇×#123	C₂²	1	1	yes	characteristic, complemented
46	C₁₇×#123	C₂²	1	1	yes	characteristic, complemented
47	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
48	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₁₇×#120	C₂²	1	1	yes	characteristic
50	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
51	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
52	C₁₇×#117	C₂²	1	1	yes	characteristic
53	C₁₇×#117	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
56	#10587639	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
58	#10587633	C₂²	1	1	yes	characteristic, complemented
59	#10587630	C₂²	1	1	yes	characteristic, complemented
60	#10587630	C₂²	1	1	yes	characteristic, complemented
61	#10587626	C₂²	1	1	yes	characteristic, complemented
62	#10587626	C₂²	1	1	yes	characteristic, complemented
63	#10587625	C₂²	1	1	yes	characteristic, complemented
64	#10587625	C₂²	1	1	yes	characteristic, complemented
65	#10587625	C₂²	1	1	yes	characteristic, complemented
66	#10587625	C₂²	1	1	yes	characteristic, complemented
67	#10587624	C₂²	1	1	yes	characteristic, complemented
68	#10587623	C₂²	1	1	yes	characteristic
69	#10587623	C₂²	1	1	yes	characteristic
70	D₄×Dic₁₇	C₂²	1	1	yes	characteristic
71	#10587616	C₂²	1	1	yes	characteristic, complemented
72	#10587616	C₂²	1	1	yes	characteristic, complemented
73	#10587615	C₂²	1	1	yes	characteristic
74	#10587615	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
76	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
77	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
79	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
80	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
81	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
82	C₂×#63227	C₂²	1	1	yes	characteristic
83	#10587612	C₂²	1	1	yes	characteristic
84	#10587610	C₂²	1	1	yes	characteristic
85	C₂×#63225	C₂²	1	1	yes	characteristic
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	#10587582	C₂²	1	1	yes	characteristic, complemented
92	#10587582	C₂²	1	1	yes	characteristic, complemented
93	#10587582	C₂²	1	1	yes	characteristic, complemented
94	#10587581	C₂²	1	1	yes	characteristic, complemented
95	#10587581	C₂²	1	1	yes	characteristic, complemented
96	#10587581	C₂²	1	1	yes	characteristic, complemented
97	#10587580	C₂²	1	1	yes	characteristic, complemented
98	#10587580	C₂²	1	1	yes	characteristic, complemented
99	#10587580	C₂²	1	1	yes	characteristic, complemented
100	#10587580	C₂²	1	1	yes	characteristic, complemented
101	#10587580	C₂²	1	1	yes	characteristic, complemented
102	#10587580	C₂²	1	1	yes	characteristic, complemented
103	#10587579	C₂²	1	1	yes	characteristic, complemented
104	#10587579	C₂²	1	1	yes	characteristic, complemented
105	#10587579	C₂²	1	1	yes	characteristic, complemented
106	#10587578	C₂²	1	1	yes	characteristic, complemented
107	#10587578	C₂²	1	1	yes	characteristic, complemented
108	#10587578	C₂²	1	1	yes	characteristic, complemented
109	C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
110	C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
111	C₄⋊C₄×D₁₇	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	#10587574	C₂²	1	1	yes	characteristic, complemented
117	#10587574	C₂²	1	1	yes	characteristic, complemented
118	#10587573	C₂²	1	1	yes	characteristic, complemented
119	#10587572	C₂²	1	1	yes	characteristic, complemented
120	#10587572	C₂²	1	1	yes	characteristic, complemented
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	#10587571	C₂²	1	1	yes	characteristic, complemented
125	#10587571	C₂²	1	1	yes	characteristic, complemented
126	#10587571	C₂²	1	1	yes	characteristic, complemented
127	#10587571	C₂²	1	1	yes	characteristic, complemented
128	#10587570	C₂²	1	1	yes	characteristic
129	#10587570	C₂²	1	1	yes	characteristic
130	#10587570	C₂²	1	1	yes	characteristic
131	#10587570	C₂²	1	1	yes	characteristic
132	#10587570	C₂²	1	1	yes	characteristic
133	#10587570	C₂²	1	1	yes	characteristic
134	#10587570	C₂²	1	1	yes	characteristic
135	#10587570	C₂²	1	1	yes	characteristic
136	#10587570	C₂²	1	1	yes	characteristic, complemented
137	#10587570	C₂²	1	1	yes	characteristic, complemented
138	#10587570	C₂²	1	1	yes	characteristic, complemented
139	#10587570	C₂²	1	1	yes	characteristic, complemented
140	#10587570	C₂²	1	1	yes	characteristic, complemented
141	#10587570	C₂²	1	1	yes	characteristic, complemented
142	#10587570	C₂²	1	1	yes	characteristic, complemented
143	#10587570	C₂²	1	1	yes	characteristic, complemented
144	#10587569	C₂²	1	1	yes	characteristic, complemented
145	#10587569	C₂²	1	1	yes	characteristic, complemented
146	#10587569	C₂²	1	1	yes	characteristic, complemented
147	#10587569	C₂²	1	1	yes	characteristic, complemented
148	#10587568	C₂²	1	1	yes	characteristic
149	#10587568	C₂²	1	1	yes	characteristic
150	#10587567	C₂²	1	1	yes	characteristic
151	#10587567	C₂²	1	1	yes	characteristic, complemented
152	#10587567	C₂²	1	1	yes	characteristic, complemented
153	#10587567	C₂²	1	1	yes	characteristic, complemented
154	#10587567	C₂²	1	1	yes	characteristic, complemented
155	#10587567	C₂²	1	1	yes	characteristic, complemented
156	#10587567	C₂²	1	1	yes	characteristic, complemented
157	#10587567	C₂²	1	1	yes	characteristic, complemented
158	#10587567	C₂²	1	1	yes	characteristic, complemented
159	#10587567	C₂²	1	1	yes	characteristic, complemented
160	#10587567	C₂²	1	1	yes	characteristic, complemented
161	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
165	#10587565	C₂²	1	1	yes	characteristic, complemented
166	#10587565	C₂²	1	1	yes	characteristic, complemented
167	#10587564	C₂²	1	1	yes	characteristic
168	#10587564	C₂²	1	1	yes	characteristic
169	#10587564	C₂²	1	1	yes	characteristic, complemented
170	#10587563	C₂²	1	1	yes	characteristic
171	#10587563	C₂²	1	1	yes	characteristic
172	#10587563	C₂²	1	1	yes	characteristic
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	#10587561	C₂²	1	1	yes	characteristic, complemented
177	#10587561	C₂²	1	1	yes	characteristic, complemented
178	C₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
179	C₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
180	#10587558	C₂²	1	1	yes	characteristic, complemented
181	#10587558	C₂²	1	1	yes	characteristic, complemented
182	#10587558	C₂²	1	1	yes	characteristic, complemented
183	#10587558	C₂²	1	1	yes	characteristic, complemented
184	C₄²×D₁₇	C₂²	1	1	yes	characteristic, complemented
185	C₄²×D₁₇	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	—	4	2	no	—
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	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
217	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
218	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
219	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
220	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
221	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
222	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
223	#63256	—	4	2	no	—
224	#63254	—	2	4	no	—
225	#63254	—	4	2	no	—
226	#63252	—	4	2	no	—
227	#63252	—	4	2	no	—
228	C₂×D₆₈	—	4	2	no	—
229	C₂×D₆₈	C₂³	1	1	yes	characteristic
230	C₂×D₆₈	C₂³	1	1	yes	characteristic
231	C₂×D₆₈	C₂³	1	1	yes	characteristic
232	C₂×D₆₈	C₂³	1	1	yes	characteristic
233	C₂×D₆₈	C₂³	1	1	yes	characteristic
234	C₂×D₆₈	C₂³	1	1	yes	characteristic
235	C₂×D₆₈	C₂³	1	1	yes	characteristic
236	C₂×D₆₈	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₁₇	—	2	4	no	—
238	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
250	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
253	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
257	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
258	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
259	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
260	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
261	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
262	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
263	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
264	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
265	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
266	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
267	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
268	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
269	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
270	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
271	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
272	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
273	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
274	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
275	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
276	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
277	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
278	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
279	C₄²×C₁₇	C₂³	1	1	yes	characteristic
280	C₄²×C₁₇	C₂³	1	1	yes	characteristic
281	C₄²×C₁₇	C₂³	1	1	yes	characteristic
282	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
283	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
284	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
285	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
286	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
287	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
288	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
289	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
290	#63227	C₂³	1	1	yes	characteristic
291	#63227	C₂³	1	1	yes	characteristic
292	#63227	C₂³	1	1	yes	characteristic
293	#63227	C₂³	1	1	yes	characteristic
294	#63227	C₂³	1	1	yes	characteristic
295	#63227	C₂³	1	1	yes	characteristic
296	#63227	C₂³	1	1	yes	characteristic
297	#63227	C₂³	1	1	yes	characteristic
298	#63227	C₂³	1	1	yes	characteristic
299	#63227	C₂³	1	1	yes	characteristic
300	#63227	C₂³	1	1	yes	characteristic
301	#63227	C₂³	1	1	yes	characteristic
302	#63227	C₂³	1	1	yes	characteristic
303	#63227	C₂³	1	1	yes	characteristic
304	#63227	C₂³	1	1	yes	characteristic
305	#63227	C₂³	1	1	yes	characteristic
306	#63227	C₂³	1	1	yes	characteristic
307	#63227	C₂³	1	1	yes	characteristic
308	#63227	C₂³	1	1	yes	characteristic
309	#63227	C₂³	1	1	yes	characteristic
310	#63227	C₂³	1	1	yes	characteristic
311	#63227	C₂³	1	1	yes	characteristic
312	#63227	C₂³	1	1	yes	characteristic
313	#63227	C₂³	1	1	yes	characteristic
314	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
315	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
316	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
317	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
318	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
319	C₄⋊Dic₁₇	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	#63225	C₂³	1	1	yes	characteristic
333	#63225	C₂³	1	1	yes	characteristic
334	#63225	C₂³	1	1	yes	characteristic
335	#63225	C₂³	1	1	yes	characteristic
336	#63225	C₂³	1	1	yes	characteristic
337	#63225	C₂³	1	1	yes	characteristic
338	#63225	C₂³	1	1	yes	characteristic
339	#63225	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	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
346	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
347	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
348	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
349	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
350	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
351	C₂³×C₁₇	—	2	2	no	—
352	C₂³×C₁₇	—	4	1	no	—
353	C₂³×C₁₇	—	4	1	no	—
354	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
355	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
356	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
357	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
358	C₂²×D₁₇	—	2	2	no	—
359	C₂²×D₁₇	—	2	2	no	—
360	C₂²×D₁₇	—	2	2	no	—
361	C₂²×D₁₇	—	4	1	no	—
362	C₂²×D₁₇	—	4	1	no	—
363	C₂²×D₁₇	—	4	1	no	—
364	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
365	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
366	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
367	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
368	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
369	Q₈×C₁₇	—	4	1	no	—
370	D₄×C₁₇	—	2	2	no	—
371	D₄×C₁₇	—	4	1	no	—
372	D₄×C₁₇	—	4	1	no	—
373	C₂×C₄×C₁₇	—	2	2	no	—
374	C₂×C₄×C₁₇	—	4	1	no	—
375	C₂×C₄×C₁₇	—	4	1	no	—
376	C₂×C₄×C₁₇	—	4	1	no	—
377	C₂×C₄×C₁₇	—	4	1	no	—
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	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
382	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
383	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
384	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
385	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
386	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
387	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
388	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
389	C₂²⋊D₁₇	—	2	2	no	—
390	C₂²⋊D₁₇	—	2	2	no	—
391	C₂²⋊D₁₇	—	2	2	no	—
392	C₂²⋊D₁₇	—	2	2	no	—
393	C₂²⋊D₁₇	—	2	2	no	—
394	C₂²⋊D₁₇	—	2	2	no	—
395	C₂²⋊D₁₇	—	2	2	no	—
396	C₂²⋊D₁₇	—	2	2	no	—
397	C₂²⋊D₁₇	—	2	2	no	—
398	C₂²⋊D₁₇	—	4	1	no	—
399	C₂²⋊D₁₇	—	4	1	no	—
400	C₂²⋊D₁₇	—	4	1	no	—
401	C₂²⋊D₁₇	—	4	1	no	—
402	C₂²⋊D₁₇	—	4	1	no	—
403	C₂²⋊D₁₇	—	4	1	no	—
404	C₂²⋊D₁₇	—	4	1	no	—
405	C₂×Dic₁₇	—	2	2	no	—
406	C₂×Dic₁₇	—	4	1	no	—
407	C₂×Dic₁₇	—	4	1	no	—
408	C₂×Dic₁₇	—	4	1	no	—
409	C₂×Dic₁₇	—	4	1	no	—
410	C₂×Dic₁₇	#41	1	4	yes	complemented
411	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
412	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
413	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
414	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
415	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
416	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
417	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
418	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
419	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
422	D₆₈	—	2	2	no	—
423	D₆₈	—	2	2	no	—
424	D₆₈	—	2	2	no	—
425	D₆₈	—	4	1	no	—
426	D₆₈	—	4	1	no	—
427	D₆₈	—	4	1	no	—
428	D₆₈	—	4	1	no	—
429	D₆₈	—	4	1	no	—
430	C₄×D₁₇	—	2	2	no	—
431	C₄×D₁₇	—	2	2	no	—
432	C₄×D₁₇	—	2	2	no	—
433	C₄×D₁₇	—	2	2	no	—
434	C₄×D₁₇	—	2	2	no	—
435	C₄×D₁₇	—	2	2	no	—
436	C₄×D₁₇	—	2	2	no	—
437	C₄×D₁₇	—	4	1	no	—
438	C₄×D₁₇	—	4	1	no	—
439	C₄×D₁₇	—	4	1	no	—
440	C₄×D₁₇	—	4	1	no	—
441	C₄×D₁₇	—	4	1	no	—
442	C₄×D₁₇	—	4	1	no	—
443	C₄×D₁₇	—	4	1	no	—
444	C₄×D₁₇	—	4	1	no	—
445	Dic₃₄	—	2	2	no	—
446	Dic₃₄	—	4	1	no	—
447	Dic₃₄	—	4	1	no	—
448	Dic₃₄	—	4	1	no	—
449	#3494	—	17	1	no	maximal, Sylow
450	C₂²×C₁₇	—	2	1	no	—
451	C₂²×C₁₇	—	2	1	no	—
452	C₂²×C₁₇	—	2	1	no	—
453	C₂²×C₁₇	—	2	1	no	—
454	C₂²×C₁₇	—	2	1	no	—
455	C₂²×C₁₇	—	2	1	no	—
456	C₂²×C₁₇	—	2	1	no	—
457	C₂²×C₁₇	—	2	1	no	—
458	C₂²×C₁₇	—	2	1	no	—
459	C₂²×C₁₇	—	2	1	no	—
460	C₂²×C₁₇	—	2	1	no	—
461	C₂²×C₁₇	—	8	2	no	—
462	C₂²×C₁₇	C₂×#41	1	2	yes	—
463	C₂²×C₁₇	C₂⁵	1	1	yes	characteristic
464	C₂×D₁₇	—	2	1	no	—
465	C₂×D₁₇	—	2	1	no	—
466	C₂×D₁₇	—	2	1	no	—
467	C₂×D₁₇	—	2	1	no	—
468	C₂×D₁₇	—	2	1	no	—
469	C₂×D₁₇	—	2	1	no	—
470	C₂×D₁₇	—	2	1	no	—
471	C₂×D₁₇	—	2	1	no	—
472	C₂×D₁₇	—	2	1	no	—
473	C₂×D₁₇	—	2	1	no	—
474	C₂×D₁₇	—	2	1	no	—
475	C₂×D₁₇	—	2	1	no	—
476	C₂×D₁₇	—	2	1	no	—
477	C₂×D₁₇	—	2	1	no	—
478	C₂×D₁₇	—	4	4	no	—
479	C₂×D₁₇	—	8	2	no	—
480	C₂×D₁₇	H(5,𝔽₂)	1	2	yes	—
481	C₄×C₁₇	—	2	1	no	—
482	C₄×C₁₇	—	2	1	no	—
483	C₄×C₁₇	—	2	1	no	—
484	C₄×C₁₇	—	2	1	no	—
485	C₄×C₁₇	—	2	1	no	—
486	C₄×C₁₇	—	2	1	no	—
487	C₄×C₁₇	—	2	1	no	—
488	C₄×C₁₇	—	2	1	no	—
489	C₄×C₁₇	—	2	1	no	—
490	C₄×C₁₇	—	2	1	no	—
491	C₄×C₁₇	—	2	1	no	—
492	Dic₁₇	—	2	1	no	—
493	Dic₁₇	—	2	1	no	—
494	Dic₁₇	—	2	1	no	—
495	Dic₁₇	—	2	1	no	—
496	Dic₁₇	—	2	1	no	—
497	Dic₁₇	—	2	1	no	—
498	Dic₁₇	—	2	1	no	—
499	Dic₁₇	—	2	1	no	—
500	Dic₁₇	—	2	1	no	—
501	Dic₁₇	C₂×#41	1	2	yes	—
502	Dic₁₇	C₂×#41	1	2	yes	—
503	#555	—	17	1	no	—
504	#555	—	17	1	no	—
505	#553	—	17	1	no	—
506	#553	—	17	1	no	—
507	#553	—	17	1	no	—
508	#553	—	17	1	no	—
509	#551	—	17	1	no	—
510	#551	—	17	1	no	—
511	#551	—	17	1	no	—
512	#551	D₁₇	1	1	yes	characteristic, complemented
513	#547	—	17	1	no	—
514	#547	—	17	1	no	—
515	#546	—	17	1	no	—
516	#546	—	17	1	no	—
517	#546	—	17	1	no	—
518	#546	—	17	1	no	—
519	#544	—	17	1	no	—
520	#542	—	17	1	no	—
521	#542	—	17	1	no	—
522	#540	—	17	1	no	—
523	#540	—	17	1	no	—
524	#535	—	17	1	no	—
525	#532	—	17	1	no	—
526	#532	—	17	1	no	—
527	#529	—	17	1	no	—
528	#529	—	17	1	no	—
529	#525	—	17	1	no	—
530	C₂×#121	—	17	1	no	—
531	#520	—	17	1	no	—
532	#518	—	17	1	no	—
533	C₂×#117	—	17	1	no	—
534	C₂×C₁₇	—	2	2	no	—
535	C₂×C₁₇	—	4	1	no	—
536	C₂×C₁₇	—	4	1	no	—
537	C₂×C₁₇	—	4	1	no	—
538	C₂×C₁₇	C₂²×#41	1	1	yes	characteristic
539	C₂×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
540	C₂×C₁₇	#585	1	1	yes	characteristic
541	D₁₇	—	2	2	no	—
542	D₁₇	—	4	1	no	—
543	D₁₇	—	4	1	no	—
544	D₁₇	—	4	1	no	—
545	D₁₇	—	4	1	no	—
546	C₂×#41	—	17	1	no	—
547	C₂×#41	—	17	1	no	—
548	C₂×#41	—	17	1	no	—
549	C₂×#41	—	17	1	no	—
550	C₂×#41	—	17	1	no	—
551	C₂²×D₄	—	17	1	no	—
552	C₂²×D₄	—	17	1	no	—
553	C₂²×D₄	—	17	1	no	—
554	C₂³×C₄	—	17	1	no	—
555	C₄⋊Q₈	—	17	1	no	—
556	C₄⋊Q₈	—	17	1	no	—
557	C₄⋊Q₈	—	17	1	no	—
558	C₄⋊Q₈	—	17	1	no	—
559	#127	—	17	1	no	—
560	#127	—	17	1	no	—
561	#126	—	17	1	no	—
562	#126	—	17	1	no	—
563	#126	—	17	1	no	—
564	#126	—	17	1	no	—
565	#126	—	17	1	no	—
566	#126	—	17	1	no	—
567	#126	C₂×D₁₇	1	1	yes	characteristic, complemented
568	#126	C₂×D₁₇	1	1	yes	characteristic, complemented
569	#125	—	17	1	no	—
570	#125	—	17	1	no	—
571	#125	—	17	1	no	—
572	#125	—	17	1	no	—
573	#124	—	17	1	no	—
574	#124	—	17	1	no	—
575	#124	—	17	1	no	—
576	#124	—	17	1	no	—
577	#124	—	17	1	no	—
578	#124	—	17	1	no	—
579	#124	—	17	1	no	—
580	#124	—	17	1	no	—
581	#124	—	17	1	no	—
582	#124	C₂×D₁₇	1	1	yes	characteristic, complemented
583	#123	—	17	1	no	—
584	#123	—	17	1	no	—
585	#123	—	17	1	no	—
586	#123	—	17	1	no	—
587	#123	—	17	1	no	—
588	#123	—	17	1	no	—
589	#123	—	17	1	no	—
590	#123	—	17	1	no	—
591	#123	—	17	1	no	—
592	#123	—	17	1	no	—
593	#123	—	17	1	no	—
594	#123	—	17	1	no	—
595	#123	—	17	1	no	—
596	#123	—	17	1	no	—
597	#123	—	17	1	no	—
598	#123	C₂×D₁₇	1	1	yes	characteristic
599	#123	C₂×D₁₇	1	1	yes	characteristic, complemented
600	#123	C₂×D₁₇	1	1	yes	characteristic, complemented
601	C₂²⋊Q₈	—	17	1	no	—
602	C₂²⋊Q₈	—	17	1	no	—
603	C₂²⋊Q₈	—	17	1	no	—
604	C₂²⋊Q₈	—	17	1	no	—
605	C₂²⋊Q₈	—	17	1	no	—
606	C₂²⋊Q₈	—	17	1	no	—
607	C₂²⋊Q₈	—	17	1	no	—
608	C₂²⋊Q₈	—	17	1	no	—
609	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
610	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
611	#121	—	17	1	no	—
612	#121	—	17	1	no	—
613	#121	—	17	1	no	—
614	#121	—	17	1	no	—
615	#121	—	17	1	no	—
616	#121	—	17	1	no	—
617	#121	—	17	1	no	—
618	#121	—	17	1	no	—
619	#121	—	17	1	no	—
620	#121	—	17	1	no	—
621	#121	—	17	1	no	—
622	#121	—	17	1	no	—
623	#121	—	17	1	no	—
624	#121	—	17	1	no	—
625	#121	—	17	1	no	—
626	#121	—	17	1	no	—
627	#121	—	17	1	no	—
628	#121	—	17	1	no	—
629	#121	—	17	1	no	—
630	#121	—	17	1	no	—
631	#121	—	17	1	no	—
632	#121	—	17	1	no	—
633	#121	—	17	1	no	—
634	#121	—	17	1	no	—
635	#121	—	17	1	no	—
636	#121	—	17	1	no	—
637	#120	—	17	1	no	—
638	#120	—	17	1	no	—
639	#120	—	17	1	no	—
640	#120	—	17	1	no	—
641	#120	—	17	1	no	—
642	#120	C₂×D₁₇	1	1	yes	characteristic
643	C₄×Q₈	—	17	1	no	—
644	C₄×Q₈	—	17	1	no	—
645	C₄×D₄	—	17	1	no	—
646	C₄×D₄	—	17	1	no	—
647	C₄×D₄	—	17	1	no	—
648	C₄×D₄	—	17	1	no	—
649	C₄×D₄	—	17	1	no	—
650	C₄×D₄	—	17	1	no	—
651	C₄×D₄	—	17	1	no	—
652	C₄×D₄	—	17	1	no	—
653	C₄×D₄	—	17	1	no	—
654	C₄×D₄	—	17	1	no	—
655	C₄×D₄	—	17	1	no	—
656	C₄×D₄	—	17	1	no	—
657	C₄×D₄	—	17	1	no	—
658	C₄×D₄	—	17	1	no	—
659	C₄×D₄	—	17	1	no	—
660	C₄×D₄	—	17	1	no	—
661	C₄×D₄	—	17	1	no	—
662	C₄×D₄	—	17	1	no	—
663	C₄×D₄	—	17	1	no	—
664	C₄×D₄	—	17	1	no	—
665	C₄×D₄	—	17	1	no	—
666	C₄×D₄	—	17	1	no	—
667	C₄×D₄	—	17	1	no	—
668	C₄×D₄	—	17	1	no	—
669	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
670	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic, complemented
671	#117	—	17	1	no	—
672	#117	—	17	1	no	—
673	#117	—	17	1	no	—
674	#117	—	17	1	no	—
675	#117	—	17	1	no	—
676	#117	—	17	1	no	—
677	#117	—	17	1	no	—
678	#117	—	17	1	no	—
679	#117	—	17	1	no	—
680	#117	—	17	1	no	—
681	#117	—	17	1	no	—
682	#117	—	17	1	no	—
683	#117	—	17	1	no	—
684	#117	C₂×D₁₇	1	1	yes	characteristic
685	#117	C₂×D₁₇	1	1	yes	characteristic, complemented
686	C₂×C₄⋊C₄	—	17	1	no	—
687	C₂×C₄⋊C₄	—	17	1	no	—
688	C₂×C₄⋊C₄	—	17	1	no	—
689	C₂×C₄⋊C₄	—	17	1	no	—
690	C₂×C₄⋊C₄	—	17	1	no	—
691	C₂×C₂²⋊C₄	—	17	1	no	—
692	C₂×C₂²⋊C₄	—	17	1	no	—
693	C₂×C₂²⋊C₄	—	17	1	no	—
694	C₂×C₂²⋊C₄	—	17	1	no	—
695	C₂×C₂²⋊C₄	—	17	1	no	—
696	C₂×C₂²⋊C₄	—	17	1	no	—
697	C₂×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
699	C₂×C₄²	—	17	1	no	—
700	C₂×C₄²	—	17	1	no	—
701	C₁₇	#3494	1	1	yes	characteristic, complemented, Sylow
702	C₂⁴	—	17	1	no	—
703	C₂⁴	—	17	1	no	—
704	C₂⁴	C₂²×D₁₇	1	1	yes	characteristic
705	#41	—	34	4	no	—
706	#41	—	68	2	no	—
707	#41	—	68	2	no	—
708	#41	—	68	2	no	—
709	#41	—	68	2	no	—
710	C₂×Q₈	—	17	1	no	—
711	C₂×Q₈	—	17	1	no	—
712	C₂×Q₈	—	17	1	no	—
713	C₂×Q₈	—	17	1	no	—
714	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
715	C₂×D₄	—	17	1	no	—
716	C₂×D₄	—	17	1	no	—
717	C₂×D₄	—	17	1	no	—
718	C₂×D₄	—	17	1	no	—
719	C₂×D₄	—	17	1	no	—
720	C₂×D₄	—	17	1	no	—
721	C₂×D₄	—	17	1	no	—
722	C₂×D₄	—	17	1	no	—
723	C₂×D₄	—	17	1	no	—
724	C₂×D₄	—	17	1	no	—
725	C₂×D₄	—	17	1	no	—
726	C₂×D₄	—	17	1	no	—
727	C₂×D₄	—	17	1	no	—
728	C₂×D₄	—	17	1	no	—
729	C₂×D₄	—	17	1	no	—
730	C₂×D₄	—	17	1	no	—
731	C₂×D₄	—	17	1	no	—
732	C₂×D₄	—	17	1	no	—
733	C₂×D₄	—	17	1	no	—
734	C₂×D₄	—	17	1	no	—
735	C₂×D₄	—	17	1	no	—
736	C₂×D₄	—	17	1	no	—
737	C₂×D₄	—	17	1	no	—
738	C₂×D₄	—	17	1	no	—
739	C₂×D₄	—	34	4	no	—
740	C₂×D₄	—	68	2	no	—
741	C₂×D₄	—	68	2	no	—
742	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
743	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
744	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
745	C₂²×C₄	—	17	1	no	—
746	C₂²×C₄	—	17	1	no	—
747	C₂²×C₄	—	17	1	no	—
748	C₂²×C₄	—	17	1	no	—
749	C₂²×C₄	—	17	1	no	—
750	C₂²×C₄	—	17	1	no	—
751	C₂²×C₄	—	17	1	no	—
752	C₂²×C₄	—	17	1	no	—
753	C₂²×C₄	—	17	1	no	—
754	C₂²×C₄	—	17	1	no	—
755	C₂²×C₄	—	17	1	no	—
756	C₂²×C₄	—	17	1	no	—
757	C₂²×C₄	—	17	1	no	—
758	C₂²×C₄	—	17	1	no	—
759	C₂²×C₄	—	17	1	no	—
760	C₂²×C₄	—	17	1	no	—
761	C₂²×C₄	—	17	1	no	—
762	C₂²×C₄	—	17	1	no	—
763	C₂²×C₄	—	17	1	no	—
764	C₂²×C₄	—	17	1	no	—
765	C₂²×C₄	—	17	1	no	—
766	C₂²×C₄	—	34	4	no	—
767	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
768	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
769	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
770	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
771	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
772	C₄⋊C₄	—	17	1	no	—
773	C₄⋊C₄	—	17	1	no	—
774	C₄⋊C₄	—	17	1	no	—
775	C₄⋊C₄	—	17	1	no	—
776	C₄⋊C₄	—	17	1	no	—
777	C₄⋊C₄	—	17	1	no	—
778	C₄⋊C₄	—	17	1	no	—
779	C₄⋊C₄	—	17	1	no	—
780	C₄⋊C₄	—	17	1	no	—
781	C₄⋊C₄	—	17	1	no	—
782	C₄⋊C₄	—	17	1	no	—
783	C₄⋊C₄	—	17	1	no	—
784	C₄⋊C₄	—	17	1	no	—
785	C₄⋊C₄	—	17	1	no	—
786	C₄⋊C₄	—	17	1	no	—
787	C₄⋊C₄	—	17	1	no	—
788	C₄⋊C₄	—	17	1	no	—
789	C₄⋊C₄	—	17	1	no	—
790	C₄⋊C₄	—	17	1	no	—
791	C₄⋊C₄	—	17	1	no	—
792	C₄⋊C₄	—	17	1	no	—
793	C₄⋊C₄	—	17	1	no	—
794	C₄⋊C₄	—	17	1	no	—
795	C₄⋊C₄	—	17	1	no	—
796	C₄⋊C₄	—	17	1	no	—
797	C₄⋊C₄	—	17	1	no	—
798	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
799	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
800	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
801	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
802	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
803	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
804	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
805	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
806	C₂²⋊C₄	—	17	1	no	—
807	C₂²⋊C₄	—	17	1	no	—
808	C₂²⋊C₄	—	17	1	no	—
809	C₂²⋊C₄	—	17	1	no	—
810	C₂²⋊C₄	—	17	1	no	—
811	C₂²⋊C₄	—	17	1	no	—
812	C₂²⋊C₄	—	17	1	no	—
813	C₂²⋊C₄	—	17	1	no	—
814	C₂²⋊C₄	—	17	1	no	—
815	C₂²⋊C₄	—	17	1	no	—
816	C₂²⋊C₄	—	17	1	no	—
817	C₂²⋊C₄	—	17	1	no	—
818	C₂²⋊C₄	—	17	1	no	—
819	C₂²⋊C₄	—	17	1	no	—
820	C₂²⋊C₄	—	17	1	no	—
821	C₂²⋊C₄	—	17	1	no	—
822	C₂²⋊C₄	—	17	1	no	—
823	C₂²⋊C₄	—	17	1	no	—
824	C₂²⋊C₄	—	17	1	no	—
825	C₂²⋊C₄	—	17	1	no	—
826	C₂²⋊C₄	—	17	1	no	—
827	C₂²⋊C₄	—	17	1	no	—
828	C₂²⋊C₄	—	17	1	no	—
829	C₂²⋊C₄	—	17	1	no	—
830	C₂²⋊C₄	—	17	1	no	—
831	C₂²⋊C₄	—	17	1	no	—
832	C₂²⋊C₄	—	17	1	no	—
833	C₂²⋊C₄	—	17	1	no	—
834	C₂²⋊C₄	—	17	1	no	—
835	C₂²⋊C₄	—	17	1	no	—
836	C₂²⋊C₄	—	17	1	no	—
837	C₂²⋊C₄	—	17	1	no	—
838	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
839	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
840	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
841	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
842	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
843	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
844	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
845	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
846	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
847	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
848	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
849	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
850	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
851	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
852	C₄²	—	17	1	no	—
853	C₄²	—	17	1	no	—
854	C₄²	—	17	1	no	—
855	C₄²	—	17	1	no	—
856	C₄²	—	17	1	no	—
857	C₄²	—	17	1	no	—
858	C₄²	—	17	1	no	—
859	C₄²	—	17	1	no	—
860	C₄²	—	17	1	no	—
861	C₄²	—	17	1	no	—
862	C₄²	—	17	1	no	—
863	C₄²	C₂²×D₁₇	1	1	yes	characteristic
864	C₄²	C₂²×D₁₇	1	1	yes	characteristic
865	C₄²	C₂²×D₁₇	1	1	yes	characteristic
866	C₂³	—	2	2	no	—
867	C₂³	—	4	1	no	—
868	C₂³	—	4	1	no	—
869	C₂³	—	17	1	no	—
870	C₂³	—	17	1	no	—
871	C₂³	—	17	1	no	—
872	C₂³	—	17	1	no	—
873	C₂³	—	17	1	no	—
874	C₂³	—	34	2	no	—
875	C₂³	—	34	2	no	—
876	C₂³	—	34	2	no	—
877	C₂³	—	68	1	no	—
878	C₂³	—	68	1	no	—
879	C₂³	—	68	1	no	—
880	C₂³	C₂³×D₁₇	1	1	yes	characteristic
881	C₂³	C₂³×D₁₇	1	1	yes	characteristic
882	C₂³	C₂³×D₁₇	1	1	yes	characteristic
883	C₂³	C₂³×D₁₇	1	1	yes	characteristic
884	Q₈	—	4	1	no	—
885	Q₈	—	34	2	no	—
886	Q₈	—	68	1	no	—
887	Q₈	—	68	1	no	—
888	Q₈	—	68	1	no	—
889	D₄	—	2	2	no	—
890	D₄	—	4	1	no	—
891	D₄	—	4	1	no	—
892	D₄	—	34	2	no	—
893	D₄	—	34	2	no	—
894	D₄	—	34	2	no	—
895	D₄	—	34	2	no	—
896	D₄	—	34	2	no	—
897	D₄	—	34	2	no	—
898	D₄	—	34	2	no	—
899	D₄	—	34	2	no	—
900	D₄	—	34	2	no	—
901	D₄	—	34	2	no	—
902	D₄	—	34	2	no	—
903	D₄	—	34	2	no	—
904	D₄	—	68	1	no	—
905	D₄	—	68	1	no	—
906	D₄	—	68	1	no	—
907	D₄	—	68	1	no	—
908	D₄	—	68	1	no	—
909	D₄	—	68	1	no	—
910	D₄	—	68	1	no	—
911	D₄	—	68	1	no	—
912	D₄	—	68	1	no	—
913	D₄	—	68	1	no	—
914	D₄	—	68	1	no	—
915	D₄	—	68	1	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	4	1	no	—
918	C₂×C₄	—	4	1	no	—
919	C₂×C₄	—	4	1	no	—
920	C₂×C₄	—	4	1	no	—
921	C₂×C₄	—	17	4	no	—
922	C₂×C₄	—	17	1	no	—
923	C₂×C₄	—	17	1	no	—
924	C₂×C₄	—	17	1	no	—
925	C₂×C₄	—	17	1	no	—
926	C₂×C₄	—	17	1	no	—
927	C₂×C₄	—	17	1	no	—
928	C₂×C₄	—	17	1	no	—
929	C₂×C₄	—	17	1	no	—
930	C₂×C₄	—	17	1	no	—
931	C₂×C₄	—	17	1	no	—
932	C₂×C₄	—	17	1	no	—
933	C₂×C₄	—	34	2	no	—
934	C₂×C₄	—	34	2	no	—
935	C₂×C₄	—	34	2	no	—
936	C₂×C₄	—	34	2	no	—
937	C₂×C₄	—	34	2	no	—
938	C₂×C₄	—	34	2	no	—
939	C₂×C₄	—	34	2	no	—
940	C₂×C₄	—	34	2	no	—
941	C₂×C₄	—	68	1	no	—
942	C₂×C₄	—	68	1	no	—
943	C₂×C₄	—	68	1	no	—
944	C₂×C₄	—	68	1	no	—
945	C₂×C₄	—	68	1	no	—
946	C₂×C₄	—	68	1	no	—
947	C₂×C₄	—	68	1	no	—
948	C₂×C₄	—	68	1	no	—
949	C₂×C₄	—	68	1	no	—
950	C₂×C₄	—	68	1	no	—
951	C₂×C₄	—	68	1	no	—
952	C₂×C₄	—	68	1	no	—
953	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
954	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
955	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
956	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
957	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
958	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
959	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
960	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
961	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
962	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
963	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
964	C₂²	—	2	1	no	—
965	C₂²	—	2	1	no	—
966	C₂²	—	2	1	no	—
967	C₂²	—	2	1	no	—
968	C₂²	—	2	1	no	—
969	C₂²	—	2	1	no	—
970	C₂²	—	2	1	no	—
971	C₂²	—	2	1	no	—
972	C₂²	—	2	1	no	—
973	C₂²	—	2	1	no	—
974	C₂²	—	2	1	no	—
975	C₂²	—	8	2	no	—
976	C₂²	—	17	2	no	—
977	C₂²	—	34	1	no	—
978	C₂²	—	34	1	no	—
979	C₂²	—	34	1	no	—
980	C₂²	—	34	1	no	—
981	C₂²	—	34	1	no	—
982	C₂²	—	34	1	no	—
983	C₂²	—	34	1	no	—
984	C₂²	—	34	1	no	—
985	C₂²	—	34	1	no	—
986	C₂²	—	34	1	no	—
987	C₂²	—	34	1	no	—
988	C₂²	—	34	1	no	—
989	C₂²	—	34	1	no	—
990	C₂²	—	34	1	no	—
991	C₂²	—	68	4	no	—
992	C₂²	—	136	2	no	—
993	C₂²	#41×D₁₇	1	2	yes	—
994	C₂²	C₂⁴×D₁₇	1	1	yes	characteristic
995	C₄	—	2	1	no	—
996	C₄	—	2	1	no	—
997	C₄	—	2	1	no	—
998	C₄	—	2	1	no	—
999	C₄	—	2	1	no	—
1000	C₄	—	2	1	no	—
1001	C₄	—	2	1	no	—
1002	C₄	—	2	1	no	—
1003	C₄	—	2	1	no	—
1004	C₄	—	2	1	no	—
1005	C₄	—	2	1	no	—
1006	C₄	—	17	2	no	—
1007	C₄	—	17	2	no	—
1008	C₄	—	34	1	no	—
1009	C₄	—	34	1	no	—
1010	C₄	—	34	1	no	—
1011	C₄	—	34	1	no	—
1012	C₄	—	34	1	no	—
1013	C₄	—	34	1	no	—
1014	C₄	—	34	1	no	—
1015	C₄	—	34	1	no	—
1016	C₄	—	34	1	no	—
1017	C₂	—	2	2	no	—
1018	C₂	—	4	1	no	—
1019	C₂	—	4	1	no	—
1020	C₂	—	4	1	no	—
1021	C₂	—	34	2	no	—
1022	C₂	—	68	1	no	—
1023	C₂	—	68	1	no	—
1024	C₂	—	68	1	no	—
1025	C₂	—	68	1	no	—
1026	C₂	C₂×#41×D₁₇	1	1	yes	characteristic
1027	C₂	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1028	C₂	#11763645	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₇
commutator, socle, cosocle	C₂²×C₁₇	C₂⁵
Fitting	C₁₇×#551	C₂
hypercenter	#551	D₁₇
hypocenter	C₁₇	#3494
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. #11763522	C₂	semidirect
2. #11763521	C₂	semidirect
3. #11763510	C₂	semidirect
4. #11763510	C₂	semidirect
5. #11763508	C₂	semidirect
6. #11763504	C₂	semidirect
7. #11763485	C₂	semidirect
8. #11763483	C₂	semidirect
9. #11763482	C₂	semidirect
10. #11763461	C₂	semidirect
11. #11763457	C₂	semidirect
12. #11763455	C₂	semidirect
13. #11763450	C₂	semidirect
14. #11763449	C₂	semidirect
15. #11763446	C₂	semidirect
16. #11763438	C₂	semidirect
17. #11763429	C₂	semidirect
18. #11763425	C₂	semidirect
19. #11763411	C₂	semidirect
20. #11763411	C₂	semidirect
21. #11763374	C₂	semidirect
22. #11763358	C₂	semidirect
23. #11763356	C₂	semidirect
24. #11763342	C₂	semidirect
25. #11763337	C₂	semidirect
26. #11763317	C₂	semidirect
27. C₂×#10587570	C₂	semidirect
28. #11763288	C₂	semidirect
29. #11763282	C₂	semidirect
30. #117×D₁₇	C₂	semidirect
31. C₁₇×#551	C₂	semidirect
34. C₂×#63256	C₂²	semidirect
36. C₂×#63254	C₂²	semidirect
37. C₂×#63252	C₂²	semidirect
38. C₂×#63252	C₂²	semidirect
41. C₁₇×#126	C₂²	semidirect
42. C₁₇×#126	C₂²	semidirect
43. C₁₇×#124	C₂²	semidirect
45. C₁₇×#123	C₂²	semidirect
46. C₁₇×#123	C₂²	semidirect
48. C₁₇×C₂²⋊Q₈	C₂²	semidirect
51. C₄×D₄×C₁₇	C₂²	semidirect
53. C₁₇×#117	C₂²	semidirect
58. #10587633	C₂²	semidirect
59. #10587630	C₂²	semidirect
60. #10587630	C₂²	semidirect
61. #10587626	C₂²	semidirect
62. #10587626	C₂²	semidirect
63. #10587625	C₂²	semidirect
64. #10587625	C₂²	semidirect
65. #10587625	C₂²	semidirect
66. #10587625	C₂²	semidirect
67. #10587624	C₂²	semidirect
71. #10587616	C₂²	semidirect
72. #10587616	C₂²	semidirect
74. #10587615	C₂²	semidirect
76. C₄×C₂²⋊D₁₇	C₂²	semidirect
77. C₄×C₂²⋊D₁₇	C₂²	semidirect
78. C₄×C₂²⋊D₁₇	C₂²	semidirect
79. C₄×C₂²⋊D₁₇	C₂²	semidirect
80. C₄×C₂²⋊D₁₇	C₂²	semidirect
81. C₄×C₂²⋊D₁₇	C₂²	semidirect
86. C₂×#63225	C₂²	semidirect
87. #10587584	C₂²	semidirect
88. #10587584	C₂²	semidirect
89. #10587584	C₂²	semidirect
90. #10587583	C₂²	semidirect
91. #10587582	C₂²	semidirect
92. #10587582	C₂²	semidirect
93. #10587582	C₂²	semidirect
94. #10587581	C₂²	semidirect
95. #10587581	C₂²	semidirect
96. #10587581	C₂²	semidirect
97. #10587580	C₂²	semidirect
98. #10587580	C₂²	semidirect
99. #10587580	C₂²	semidirect
100. #10587580	C₂²	semidirect
101. #10587580	C₂²	semidirect
102. #10587580	C₂²	semidirect
103. #10587579	C₂²	semidirect
104. #10587579	C₂²	semidirect
105. #10587579	C₂²	semidirect
106. #10587578	C₂²	semidirect
107. #10587578	C₂²	semidirect
108. #10587578	C₂²	semidirect
109. C₄⋊C₄×D₁₇	C₂²	semidirect
110. C₄⋊C₄×D₁₇	C₂²	semidirect
111. C₄⋊C₄×D₁₇	C₂²	semidirect
112. #10587575	C₂²	semidirect
113. #10587575	C₂²	semidirect
114. #10587575	C₂²	semidirect
115. #10587575	C₂²	semidirect
116. #10587574	C₂²	semidirect
117. #10587574	C₂²	semidirect
118. #10587573	C₂²	semidirect
119. #10587572	C₂²	semidirect
120. #10587572	C₂²	semidirect
121. #10587572	C₂²	semidirect
122. #10587571	C₂²	semidirect
123. #10587571	C₂²	semidirect
124. #10587571	C₂²	semidirect
125. #10587571	C₂²	semidirect
126. #10587571	C₂²	semidirect
127. #10587571	C₂²	semidirect
136. #10587570	C₂²	semidirect
137. #10587570	C₂²	semidirect
138. #10587570	C₂²	semidirect
139. #10587570	C₂²	semidirect
140. #10587570	C₂²	semidirect
141. #10587570	C₂²	semidirect
142. #10587570	C₂²	semidirect
143. #10587570	C₂²	semidirect
144. #10587569	C₂²	semidirect
145. #10587569	C₂²	semidirect
146. #10587569	C₂²	semidirect
147. #10587569	C₂²	semidirect
151. #10587567	C₂²	semidirect
152. #10587567	C₂²	semidirect
153. #10587567	C₂²	semidirect
154. #10587567	C₂²	semidirect
155. #10587567	C₂²	semidirect
156. #10587567	C₂²	semidirect
157. #10587567	C₂²	semidirect
158. #10587567	C₂²	semidirect
159. #10587567	C₂²	semidirect
160. #10587567	C₂²	semidirect
165. #10587565	C₂²	semidirect
166. #10587565	C₂²	semidirect
169. #10587564	C₂²	semidirect
173. #10587563	C₂²	semidirect
174. #10587563	C₂²	semidirect
175. #10587562	C₂²	semidirect
176. #10587561	C₂²	semidirect
177. #10587561	C₂²	semidirect
178. C₄×D₆₈	C₂²	semidirect
179. C₄×D₆₈	C₂²	semidirect
180. #10587558	C₂²	semidirect
181. #10587558	C₂²	semidirect
182. #10587558	C₂²	semidirect
183. #10587558	C₂²	semidirect
184. C₄²×D₁₇	C₂²	semidirect
185. C₄²×D₁₇	C₂²	semidirect
186. C₄×Dic₃₄	C₂²	semidirect
410. C₂×Dic₁₇	#41	semidirect
512. #551	D₁₇	semidirect
567. #126	C₂×D₁₇	semidirect
568. #126	C₂×D₁₇	semidirect
582. #124	C₂×D₁₇	semidirect
599. #123	C₂×D₁₇	semidirect
600. #123	C₂×D₁₇	semidirect
610. C₂²⋊Q₈	C₂×D₁₇	semidirect
670. C₄×D₄	C₂×D₁₇	semidirect
685. #117	C₂×D₁₇	semidirect
701. C₁₇	#3494	semidirect

Maximal subgroups

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

subgroup	index
#11763522	2
#11763521	2
#11763510	2
#11763508	2
#11763504	2
#11763485	2
#11763483	2
#11763482	2
#11763461	2
#11763457	2
#11763455	2
#11763450	2
#11763449	2
#11763446	2
#11763438	2
#11763429	2
#11763425	2
#11763411	2
#11763374	2
#11763358	2
#11763356	2
#11763342	2
#11763337	2
#11763317	2
C₂×#10587570	2
#11763288	2
#11763282	2
#117×D₁₇	2
C₁₇×#551	2
#3494	17