Subgroups — #14542523

Order 2176.

1022 conjugacy classes of subgroups.

The subgroup lattice has 934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11763528	C₂	1	1	yes	maximal, characteristic, complemented
2	#11763526	C₂	1	1	yes	maximal, characteristic, complemented
3	#11763518	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763513	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763501	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763499	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763496	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763496	C₂	1	1	yes	maximal, characteristic, complemented
9	#11763496	C₂	1	1	yes	maximal, characteristic, complemented
10	#11763495	C₂	1	1	yes	maximal, characteristic, complemented
11	#11763492	C₂	1	1	yes	maximal, characteristic, complemented
12	#11763492	C₂	1	1	yes	maximal, characteristic, complemented
13	#11763490	C₂	1	1	yes	maximal, characteristic, complemented
14	#11763485	C₂	1	1	yes	maximal, characteristic, complemented
15	#11763485	C₂	1	1	yes	maximal, characteristic, complemented
16	#11763438	C₂	1	1	yes	maximal, characteristic, complemented
17	#11763427	C₂	1	1	yes	maximal, characteristic, complemented
18	#11763423	C₂	1	1	yes	maximal, characteristic, complemented
19	#11763416	C₂	1	1	yes	maximal, characteristic, complemented
20	#11763416	C₂	1	1	yes	maximal, characteristic, complemented
21	#11763381	C₂	1	1	yes	maximal, characteristic, complemented
22	#11763362	C₂	1	1	yes	maximal, characteristic, complemented
23	#11763361	C₂	1	1	yes	maximal, characteristic, complemented
24	#11763339	C₂	1	1	yes	maximal, characteristic, complemented
25	#11763336	C₂	1	1	yes	maximal, characteristic, complemented
26	#11763315	C₂	1	1	yes	maximal, characteristic
27	C₂×#10587564	C₂	1	1	yes	maximal, characteristic, complemented
28	#11763288	C₂	1	1	yes	maximal, characteristic, complemented
29	#11763286	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#10587563	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#551	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×Dic₁₇	C₂²	1	1	yes	characteristic
33	C₂×#63254	C₂²	1	1	yes	characteristic
34	C₂²×Dic₃₄	C₂²	1	1	yes	characteristic
35	C₁₇×#126	C₂²	1	1	yes	characteristic
36	C₁₇×#126	C₂²	1	1	yes	characteristic
37	C₁₇×#124	C₂²	1	1	yes	characteristic
38	C₁₇×#123	C₂²	1	1	yes	characteristic
39	C₁₇×#123	C₂²	1	1	yes	characteristic
40	C₁₇×#123	C₂²	1	1	yes	characteristic
41	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
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
46	C₁₇×#117	C₂²	1	1	yes	characteristic
47	C₁₇×#117	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
50	#10587639	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
53	#10587632	C₂²	1	1	yes	characteristic, complemented
54	Q₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
55	#10587630	C₂²	1	1	yes	characteristic, complemented
56	#10587630	C₂²	1	1	yes	characteristic, complemented
57	#10587625	C₂²	1	1	yes	characteristic
58	#10587625	C₂²	1	1	yes	characteristic
59	#10587622	C₂²	1	1	yes	characteristic
60	#10587621	C₂²	1	1	yes	characteristic
61	#10587621	C₂²	1	1	yes	characteristic
62	#10587621	C₂²	1	1	yes	characteristic
63	#10587621	C₂²	1	1	yes	characteristic
64	D₄×Dic₁₇	C₂²	1	1	yes	characteristic
65	D₄×Dic₁₇	C₂²	1	1	yes	characteristic
66	D₄×Dic₁₇	C₂²	1	1	yes	characteristic
67	D₄×Dic₁₇	C₂²	1	1	yes	characteristic
68	#10587615	C₂²	1	1	yes	characteristic
69	#10587615	C₂²	1	1	yes	characteristic
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, complemented
73	#10587612	C₂²	1	1	yes	characteristic
74	#10587612	C₂²	1	1	yes	characteristic
75	#10587612	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
77	#10587610	C₂²	1	1	yes	characteristic
78	#10587610	C₂²	1	1	yes	characteristic
79	#10587610	C₂²	1	1	yes	characteristic, complemented
80	C₂×#63225	C₂²	1	1	yes	characteristic
81	C₂×#63225	C₂²	1	1	yes	characteristic
82	C₂×#63225	C₂²	1	1	yes	characteristic
83	C₂×#63225	C₂²	1	1	yes	characteristic
84	C₂×#63225	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₄×Dic₁₇	C₂²	1	1	yes	characteristic
86	C₂×C₄×Dic₁₇	C₂²	1	1	yes	characteristic
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	#10587582	C₂²	1	1	yes	characteristic, complemented
91	#10587582	C₂²	1	1	yes	characteristic, complemented
92	#10587582	C₂²	1	1	yes	characteristic, complemented
93	#10587578	C₂²	1	1	yes	characteristic, complemented
94	C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
95	#10587576	C₂²	1	1	yes	characteristic, complemented
96	#10587576	C₂²	1	1	yes	characteristic, complemented
97	#10587576	C₂²	1	1	yes	characteristic, complemented
98	#10587576	C₂²	1	1	yes	characteristic, complemented
99	#10587575	C₂²	1	1	yes	characteristic, complemented
100	#10587575	C₂²	1	1	yes	characteristic, complemented
101	#10587575	C₂²	1	1	yes	characteristic, complemented
102	#10587575	C₂²	1	1	yes	characteristic, complemented
103	#10587575	C₂²	1	1	yes	characteristic, complemented
104	#10587575	C₂²	1	1	yes	characteristic, complemented
105	#10587575	C₂²	1	1	yes	characteristic, complemented
106	#10587575	C₂²	1	1	yes	characteristic, complemented
107	#10587575	C₂²	1	1	yes	characteristic, complemented
108	#10587575	C₂²	1	1	yes	characteristic, complemented
109	#10587574	C₂²	1	1	yes	characteristic, complemented
110	#10587574	C₂²	1	1	yes	characteristic, complemented
111	#10587574	C₂²	1	1	yes	characteristic, complemented
112	#10587574	C₂²	1	1	yes	characteristic, complemented
113	#10587573	C₂²	1	1	yes	characteristic, complemented
114	#10587573	C₂²	1	1	yes	characteristic, complemented
115	#10587573	C₂²	1	1	yes	characteristic, complemented
116	#10587573	C₂²	1	1	yes	characteristic, complemented
117	#10587573	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
122	#10587571	C₂²	1	1	yes	characteristic
123	#10587571	C₂²	1	1	yes	characteristic
124	#10587571	C₂²	1	1	yes	characteristic, complemented
125	#10587571	C₂²	1	1	yes	characteristic, complemented
126	#10587569	C₂²	1	1	yes	characteristic
127	#10587569	C₂²	1	1	yes	characteristic
128	#10587567	C₂²	1	1	yes	characteristic
129	#10587567	C₂²	1	1	yes	characteristic
130	#10587567	C₂²	1	1	yes	characteristic
131	#10587567	C₂²	1	1	yes	characteristic
132	#10587567	C₂²	1	1	yes	characteristic, complemented
133	#10587565	C₂²	1	1	yes	characteristic
134	#10587565	C₂²	1	1	yes	characteristic
135	#10587565	C₂²	1	1	yes	characteristic
136	#10587565	C₂²	1	1	yes	characteristic
137	#10587565	C₂²	1	1	yes	characteristic
138	#10587565	C₂²	1	1	yes	characteristic
139	#10587565	C₂²	1	1	yes	characteristic, complemented
140	#10587565	C₂²	1	1	yes	characteristic, complemented
141	#10587565	C₂²	1	1	yes	characteristic, complemented
142	#10587565	C₂²	1	1	yes	characteristic, complemented
143	#10587564	C₂²	1	1	yes	characteristic
144	#10587564	C₂²	1	1	yes	characteristic
145	#10587564	C₂²	1	1	yes	characteristic
146	#10587564	C₂²	1	1	yes	characteristic
147	#10587564	C₂²	1	1	yes	characteristic
148	#10587564	C₂²	1	1	yes	characteristic
149	#10587564	C₂²	1	1	yes	characteristic
150	#10587564	C₂²	1	1	yes	characteristic
151	#10587564	C₂²	1	1	yes	characteristic
152	#10587564	C₂²	1	1	yes	characteristic
153	#10587564	C₂²	1	1	yes	characteristic
154	#10587564	C₂²	1	1	yes	characteristic
155	#10587564	C₂²	1	1	yes	characteristic
156	#10587564	C₂²	1	1	yes	characteristic
157	#10587564	C₂²	1	1	yes	characteristic, complemented
158	#10587564	C₂²	1	1	yes	characteristic, complemented
159	#10587564	C₂²	1	1	yes	characteristic, complemented
160	#10587563	C₂²	1	1	yes	characteristic
161	#10587563	C₂²	1	1	yes	characteristic
162	#10587563	C₂²	1	1	yes	characteristic
163	#10587563	C₂²	1	1	yes	characteristic
164	#10587563	C₂²	1	1	yes	characteristic
165	#10587563	C₂²	1	1	yes	characteristic
166	#10587563	C₂²	1	1	yes	characteristic
167	#10587563	C₂²	1	1	yes	characteristic
168	#10587563	C₂²	1	1	yes	characteristic
169	#10587563	C₂²	1	1	yes	characteristic
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	#10587558	C₂²	1	1	yes	characteristic, complemented
177	#10587558	C₂²	1	1	yes	characteristic, complemented
178	#10587556	C₂²	1	1	yes	characteristic, complemented
179	#10587556	C₂²	1	1	yes	characteristic, complemented
180	C₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
181	C₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
184	C₄×Dic₃₄	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	C₂×Q₈×C₁₇	C₂³	1	1	yes	characteristic
189	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
190	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
191	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×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	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
201	C₂²×Dic₁₇	—	2	4	no	—
202	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
203	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
204	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
205	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
206	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
207	C₂²×Dic₁₇	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	#63254	—	2	4	no	—
215	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
218	C₂×Dic₃₄	—	2	4	no	—
219	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
227	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
228	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
229	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
230	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
231	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
232	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
233	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
234	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
235	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
236	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
237	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
238	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
239	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
240	C₂²⋊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	C₄²×C₁₇	C₂³	1	1	yes	characteristic
250	C₄²×C₁₇	C₂³	1	1	yes	characteristic
251	C₄²×C₁₇	C₂³	1	1	yes	characteristic
252	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
253	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
254	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
255	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
256	C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
257	C₂²⋊Dic₁₇	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	#63227	C₂³	1	1	yes	characteristic
269	#63227	C₂³	1	1	yes	characteristic
270	#63227	C₂³	1	1	yes	characteristic
271	#63227	C₂³	1	1	yes	characteristic
272	#63227	C₂³	1	1	yes	characteristic
273	#63227	C₂³	1	1	yes	characteristic
274	#63227	C₂³	1	1	yes	characteristic
275	#63227	C₂³	1	1	yes	characteristic
276	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
277	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
278	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
279	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
280	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
281	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
282	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
283	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
284	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
285	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
286	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
287	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
288	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
289	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
290	#63225	C₂³	1	1	yes	characteristic
291	#63225	C₂³	1	1	yes	characteristic
292	#63225	C₂³	1	1	yes	characteristic
293	#63225	C₂³	1	1	yes	characteristic
294	#63225	C₂³	1	1	yes	characteristic
295	#63225	C₂³	1	1	yes	characteristic
296	#63225	C₂³	1	1	yes	characteristic
297	#63225	C₂³	1	1	yes	characteristic
298	#63225	C₂³	1	1	yes	characteristic
299	#63225	C₂³	1	1	yes	characteristic
300	#63225	C₂³	1	1	yes	characteristic
301	#63225	C₂³	1	1	yes	characteristic
302	#63225	C₂³	1	1	yes	characteristic
303	#63225	C₂³	1	1	yes	characteristic
304	#63225	C₂³	1	1	yes	characteristic
305	#63225	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	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
327	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
328	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
329	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
330	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
331	C₄×Dic₁₇	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	—	2	2	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	C₂⁴	1	1	yes	characteristic
353	Q₈×C₁₇	—	4	1	no	—
354	D₄×C₁₇	—	2	2	no	—
355	D₄×C₁₇	—	2	2	no	—
356	D₄×C₁₇	—	4	1	no	—
357	C₂×C₄×C₁₇	—	2	2	no	—
358	C₂×C₄×C₁₇	—	2	2	no	—
359	C₂×C₄×C₁₇	—	4	1	no	—
360	C₂×C₄×C₁₇	—	4	1	no	—
361	C₂×C₄×C₁₇	—	4	1	no	—
362	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
363	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
364	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
365	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
366	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
367	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
368	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
369	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
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	C₂²⋊D₁₇	—	2	2	no	—
374	C₂²⋊D₁₇	—	2	2	no	—
375	C₂²⋊D₁₇	—	2	2	no	—
376	C₂²⋊D₁₇	—	4	1	no	—
377	C₂×Dic₁₇	—	2	2	no	—
378	C₂×Dic₁₇	—	2	2	no	—
379	C₂×Dic₁₇	—	2	2	no	—
380	C₂×Dic₁₇	—	2	2	no	—
381	C₂×Dic₁₇	—	2	2	no	—
382	C₂×Dic₁₇	—	2	2	no	—
383	C₂×Dic₁₇	—	2	2	no	—
384	C₂×Dic₁₇	—	2	2	no	—
385	C₂×Dic₁₇	—	4	1	no	—
386	C₂×Dic₁₇	—	4	1	no	—
387	C₂×Dic₁₇	—	4	1	no	—
388	C₂×Dic₁₇	#41	1	4	yes	—
389	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
390	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
391	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
392	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
393	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
394	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
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	C₄×D₁₇	—	2	2	no	—
405	C₄×D₁₇	—	4	1	no	—
406	C₄×D₁₇	—	4	1	no	—
407	Dic₃₄	—	2	2	no	—
408	Dic₃₄	—	2	2	no	—
409	Dic₃₄	—	2	2	no	—
410	Dic₃₄	—	2	2	no	—
411	Dic₃₄	—	2	2	no	—
412	Dic₃₄	—	4	1	no	—
413	Dic₃₄	—	4	1	no	—
414	Dic₃₄	—	4	1	no	—
415	#3495	—	17	1	no	maximal, Sylow
416	C₂²×C₁₇	—	2	1	no	—
417	C₂²×C₁₇	—	2	1	no	—
418	C₂²×C₁₇	—	2	1	no	—
419	C₂²×C₁₇	—	2	1	no	—
420	C₂²×C₁₇	—	2	1	no	—
421	C₂²×C₁₇	—	2	1	no	—
422	C₂²×C₁₇	—	2	1	no	—
423	C₂²×C₁₇	—	2	1	no	—
424	C₂²×C₁₇	—	2	1	no	—
425	C₂²×C₁₇	—	2	1	no	—
426	C₂²×C₁₇	—	4	4	no	—
427	C₂²×C₁₇	C₂×#41	1	2	yes	—
428	C₂²×C₁₇	2₋¹⁺⁴	1	2	yes	—
429	C₂²×C₁₇	C₂⁵	1	1	yes	characteristic
430	C₂×D₁₇	—	2	1	no	—
431	C₂×D₁₇	—	2	1	no	—
432	C₂×D₁₇	—	2	1	no	—
433	C₄×C₁₇	—	2	1	no	—
434	C₄×C₁₇	—	2	1	no	—
435	C₄×C₁₇	—	2	1	no	—
436	C₄×C₁₇	—	2	1	no	—
437	C₄×C₁₇	—	2	1	no	—
438	C₄×C₁₇	—	2	1	no	—
439	C₄×C₁₇	—	2	1	no	—
440	C₄×C₁₇	—	2	1	no	—
441	C₄×C₁₇	—	2	1	no	—
442	C₄×C₁₇	—	2	1	no	—
443	C₄×C₁₇	—	2	1	no	—
444	Dic₁₇	—	2	1	no	—
445	Dic₁₇	—	2	1	no	—
446	Dic₁₇	—	2	1	no	—
447	Dic₁₇	—	2	1	no	—
448	Dic₁₇	—	2	1	no	—
449	Dic₁₇	—	2	1	no	—
450	Dic₁₇	—	2	1	no	—
451	Dic₁₇	—	2	1	no	—
452	Dic₁₇	—	2	1	no	—
453	Dic₁₇	—	2	1	no	—
454	Dic₁₇	—	2	1	no	—
455	Dic₁₇	—	2	1	no	—
456	Dic₁₇	—	2	1	no	—
457	Dic₁₇	C₂×#41	1	2	yes	—
458	Dic₁₇	C₂×#41	1	2	yes	—
459	#556	—	17	1	no	—
460	#556	—	17	1	no	—
461	#554	—	17	1	no	—
462	#554	—	17	1	no	—
463	#552	—	17	1	no	—
464	#552	—	17	1	no	—
465	#552	—	17	1	no	—
466	#552	—	17	1	no	—
467	#552	—	17	1	no	—
468	#552	—	17	1	no	—
469	#552	—	17	1	no	—
470	#552	—	17	1	no	—
471	#551	—	17	1	no	—
472	#551	—	17	1	no	—
473	#551	—	17	1	no	—
474	#551	D₁₇	1	1	yes	characteristic, complemented
475	#544	—	17	1	no	—
476	#542	—	17	1	no	—
477	#542	—	17	1	no	—
478	#541	—	17	1	no	—
479	#541	—	17	1	no	—
480	#536	—	17	1	no	—
481	#533	—	17	1	no	—
482	#533	—	17	1	no	—
483	#529	—	17	1	no	—
484	#529	—	17	1	no	—
485	#525	—	17	1	no	—
486	C₂×C₂²⋊Q₈	—	17	1	no	—
487	#520	—	17	1	no	—
488	#519	—	17	1	no	—
489	C₂×#117	—	17	1	no	—
490	C₂×C₁₇	—	2	2	no	—
491	C₂×C₁₇	—	2	2	no	—
492	C₂×C₁₇	—	4	1	no	—
493	C₂×C₁₇	—	4	1	no	—
494	C₂×C₁₇	C₂²×#41	1	1	yes	characteristic
495	C₂×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
496	C₂×C₁₇	#585	1	1	yes	characteristic
497	D₁₇	—	4	1	no	—
498	C₂×#41	—	17	1	no	—
499	C₂²×Q₈	—	17	1	no	—
500	C₂³×C₄	—	17	1	no	—
501	C₄⋊Q₈	—	17	1	no	—
502	C₄⋊Q₈	—	17	1	no	—
503	C₄⋊Q₈	—	17	1	no	—
504	C₄⋊Q₈	—	17	1	no	—
505	C₄⋊Q₈	—	17	1	no	—
506	C₄⋊Q₈	—	17	1	no	—
507	#126	—	17	1	no	—
508	#126	—	17	1	no	—
509	#126	—	17	1	no	—
510	#126	—	17	1	no	—
511	#126	—	17	1	no	—
512	#126	—	17	1	no	—
513	#126	—	17	1	no	—
514	#126	—	17	1	no	—
515	#126	—	17	1	no	—
516	#126	—	17	1	no	—
517	#126	—	17	1	no	—
518	#126	—	17	1	no	—
519	#126	—	17	1	no	—
520	#126	—	17	1	no	—
521	#126	C₂×D₁₇	1	1	yes	characteristic
522	#126	C₂×D₁₇	1	1	yes	characteristic
523	#125	—	17	1	no	—
524	#125	—	17	1	no	—
525	#125	—	17	1	no	—
526	#125	—	17	1	no	—
527	#125	—	17	1	no	—
528	#125	—	17	1	no	—
529	#125	—	17	1	no	—
530	#125	—	17	1	no	—
531	#125	—	17	1	no	—
532	#125	—	17	1	no	—
533	#125	—	17	1	no	—
534	#125	—	17	1	no	—
535	#125	—	17	1	no	—
536	#125	—	17	1	no	—
537	#125	—	17	1	no	—
538	#125	—	17	1	no	—
539	#124	—	17	1	no	—
540	#124	—	17	1	no	—
541	#124	—	17	1	no	—
542	#124	—	17	1	no	—
543	#124	—	17	1	no	—
544	#124	C₂×D₁₇	1	1	yes	characteristic
545	#123	—	17	1	no	—
546	#123	—	17	1	no	—
547	#123	—	17	1	no	—
548	#123	—	17	1	no	—
549	#123	—	17	1	no	—
550	#123	—	17	1	no	—
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	C₂×D₁₇	1	1	yes	characteristic
557	#123	C₂×D₁₇	1	1	yes	characteristic
558	#123	C₂×D₁₇	1	1	yes	characteristic
559	C₂²⋊Q₈	—	17	1	no	—
560	C₂²⋊Q₈	—	17	1	no	—
561	C₂²⋊Q₈	—	17	1	no	—
562	C₂²⋊Q₈	—	17	1	no	—
563	C₂²⋊Q₈	—	17	1	no	—
564	C₂²⋊Q₈	—	17	1	no	—
565	C₂²⋊Q₈	—	17	1	no	—
566	C₂²⋊Q₈	—	17	1	no	—
567	C₂²⋊Q₈	—	17	1	no	—
568	C₂²⋊Q₈	—	17	1	no	—
569	C₂²⋊Q₈	—	17	1	no	—
570	C₂²⋊Q₈	—	17	1	no	—
571	C₂²⋊Q₈	—	17	1	no	—
572	C₂²⋊Q₈	—	17	1	no	—
573	C₂²⋊Q₈	—	17	1	no	—
574	C₂²⋊Q₈	—	17	1	no	—
575	C₂²⋊Q₈	—	17	1	no	—
576	C₂²⋊Q₈	—	17	1	no	—
577	C₂²⋊Q₈	—	17	1	no	—
578	C₂²⋊Q₈	—	17	1	no	—
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	C₂×D₁₇	1	1	yes	characteristic
584	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
585	#121	—	17	1	no	—
586	#121	—	17	1	no	—
587	#120	—	17	1	no	—
588	#120	C₂×D₁₇	1	1	yes	characteristic
589	C₄×Q₈	—	17	1	no	—
590	C₄×Q₈	—	17	1	no	—
591	C₄×Q₈	—	17	1	no	—
592	C₄×Q₈	—	17	1	no	—
593	C₄×Q₈	—	17	1	no	—
594	C₄×Q₈	—	17	1	no	—
595	C₄×Q₈	—	17	1	no	—
596	C₄×Q₈	—	17	1	no	—
597	C₄×Q₈	—	17	1	no	—
598	C₄×Q₈	—	17	1	no	—
599	C₄×Q₈	—	17	1	no	—
600	C₄×Q₈	—	17	1	no	—
601	C₄×Q₈	—	17	1	no	—
602	C₄×Q₈	—	17	1	no	—
603	C₄×D₄	—	17	1	no	—
604	C₄×D₄	—	17	1	no	—
605	C₄×D₄	—	17	1	no	—
606	C₄×D₄	—	17	1	no	—
607	C₄×D₄	—	17	1	no	—
608	C₄×D₄	—	17	1	no	—
609	C₄×D₄	—	17	1	no	—
610	C₄×D₄	—	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	C₂×D₁₇	1	1	yes	characteristic
616	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
617	#117	—	17	1	no	—
618	#117	—	17	1	no	—
619	#117	—	17	1	no	—
620	#117	—	17	1	no	—
621	#117	—	17	1	no	—
622	#117	—	17	1	no	—
623	#117	—	17	1	no	—
624	#117	—	17	1	no	—
625	#117	—	17	1	no	—
626	#117	—	17	1	no	—
627	#117	—	17	1	no	—
628	#117	—	17	1	no	—
629	#117	—	17	1	no	—
630	#117	—	17	1	no	—
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	C₂×D₁₇	1	1	yes	characteristic
639	#117	C₂×D₁₇	1	1	yes	characteristic
640	C₂×C₄⋊C₄	—	17	1	no	—
641	C₂×C₄⋊C₄	—	17	1	no	—
642	C₂×C₄⋊C₄	—	17	1	no	—
643	C₂×C₄⋊C₄	—	17	1	no	—
644	C₂×C₄⋊C₄	—	17	1	no	—
645	C₂×C₄⋊C₄	—	17	1	no	—
646	C₂×C₄⋊C₄	—	17	1	no	—
647	C₂×C₂²⋊C₄	—	17	1	no	—
648	C₂×C₂²⋊C₄	—	17	1	no	—
649	C₂×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
650	C₂×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
651	C₂×C₄²	—	17	1	no	—
652	C₂×C₄²	—	17	1	no	—
653	C₁₇	#3495	1	1	yes	characteristic, complemented, Sylow
654	C₂⁴	C₂²×D₁₇	1	1	yes	characteristic
655	#41	—	34	4	no	—
656	C₂×Q₈	—	17	1	no	—
657	C₂×Q₈	—	17	1	no	—
658	C₂×Q₈	—	17	1	no	—
659	C₂×Q₈	—	17	1	no	—
660	C₂×Q₈	—	17	1	no	—
661	C₂×Q₈	—	17	1	no	—
662	C₂×Q₈	—	17	1	no	—
663	C₂×Q₈	—	17	1	no	—
664	C₂×Q₈	—	34	4	no	—
665	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
666	C₂×D₄	—	17	1	no	—
667	C₂×D₄	—	17	1	no	—
668	C₂×D₄	—	17	1	no	—
669	C₂×D₄	—	17	1	no	—
670	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
671	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
672	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
673	C₂²×C₄	—	17	1	no	—
674	C₂²×C₄	—	17	1	no	—
675	C₂²×C₄	—	17	1	no	—
676	C₂²×C₄	—	17	1	no	—
677	C₂²×C₄	—	17	1	no	—
678	C₂²×C₄	—	17	1	no	—
679	C₂²×C₄	—	17	1	no	—
680	C₂²×C₄	—	17	1	no	—
681	C₂²×C₄	—	17	1	no	—
682	C₂²×C₄	—	17	1	no	—
683	C₂²×C₄	—	17	1	no	—
684	C₂²×C₄	—	17	1	no	—
685	C₂²×C₄	—	17	1	no	—
686	C₂²×C₄	—	17	1	no	—
687	C₂²×C₄	—	17	1	no	—
688	C₂²×C₄	—	34	4	no	—
689	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
690	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
691	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
692	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
693	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
694	C₄⋊C₄	—	17	1	no	—
695	C₄⋊C₄	—	17	1	no	—
696	C₄⋊C₄	—	17	1	no	—
697	C₄⋊C₄	—	17	1	no	—
698	C₄⋊C₄	—	17	1	no	—
699	C₄⋊C₄	—	17	1	no	—
700	C₄⋊C₄	—	17	1	no	—
701	C₄⋊C₄	—	17	1	no	—
702	C₄⋊C₄	—	17	1	no	—
703	C₄⋊C₄	—	17	1	no	—
704	C₄⋊C₄	—	17	1	no	—
705	C₄⋊C₄	—	17	1	no	—
706	C₄⋊C₄	—	17	1	no	—
707	C₄⋊C₄	—	17	1	no	—
708	C₄⋊C₄	—	17	1	no	—
709	C₄⋊C₄	—	17	1	no	—
710	C₄⋊C₄	—	17	1	no	—
711	C₄⋊C₄	—	17	1	no	—
712	C₄⋊C₄	—	17	1	no	—
713	C₄⋊C₄	—	17	1	no	—
714	C₄⋊C₄	—	17	1	no	—
715	C₄⋊C₄	—	17	1	no	—
716	C₄⋊C₄	—	17	1	no	—
717	C₄⋊C₄	—	17	1	no	—
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	C₂²×D₁₇	1	1	yes	characteristic
745	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
746	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
747	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
748	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
749	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
750	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
751	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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	—	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	C₂²×D₁₇	1	1	yes	characteristic
777	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
778	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
779	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
780	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
781	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
782	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
783	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
784	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
785	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
786	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
787	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
788	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
789	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
790	C₄²	—	17	1	no	—
791	C₄²	—	17	1	no	—
792	C₄²	—	17	1	no	—
793	C₄²	—	17	1	no	—
794	C₄²	—	17	1	no	—
795	C₄²	—	17	1	no	—
796	C₄²	—	17	1	no	—
797	C₄²	—	17	1	no	—
798	C₄²	—	17	1	no	—
799	C₄²	—	17	1	no	—
800	C₄²	—	17	1	no	—
801	C₄²	—	17	1	no	—
802	C₄²	—	17	1	no	—
803	C₄²	—	17	1	no	—
804	C₄²	—	17	1	no	—
805	C₄²	—	17	1	no	—
806	C₄²	—	17	1	no	—
807	C₄²	—	17	1	no	—
808	C₄²	—	17	1	no	—
809	C₄²	C₂²×D₁₇	1	1	yes	characteristic
810	C₄²	C₂²×D₁₇	1	1	yes	characteristic
811	C₄²	C₂²×D₁₇	1	1	yes	characteristic
812	C₂³	—	2	2	no	—
813	C₂³	—	2	2	no	—
814	C₂³	—	4	1	no	—
815	C₂³	—	17	1	no	—
816	C₂³	C₂³×D₁₇	1	1	yes	characteristic
817	C₂³	C₂³×D₁₇	1	1	yes	characteristic
818	C₂³	C₂³×D₁₇	1	1	yes	characteristic
819	C₂³	C₂³×D₁₇	1	1	yes	characteristic
820	Q₈	—	4	1	no	—
821	Q₈	—	34	2	no	—
822	Q₈	—	34	2	no	—
823	Q₈	—	34	2	no	—
824	Q₈	—	34	2	no	—
825	Q₈	—	34	2	no	—
826	Q₈	—	68	1	no	—
827	Q₈	—	68	1	no	—
828	Q₈	—	68	1	no	—
829	D₄	—	2	2	no	—
830	D₄	—	2	2	no	—
831	D₄	—	4	1	no	—
832	D₄	—	34	2	no	—
833	D₄	—	34	2	no	—
834	D₄	—	34	2	no	—
835	D₄	—	68	1	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	4	1	no	—
839	C₂×C₄	—	4	1	no	—
840	C₂×C₄	—	4	1	no	—
841	C₂×C₄	—	17	4	no	—
842	C₂×C₄	—	17	1	no	—
843	C₂×C₄	—	17	1	no	—
844	C₂×C₄	—	17	1	no	—
845	C₂×C₄	—	17	1	no	—
846	C₂×C₄	—	17	1	no	—
847	C₂×C₄	—	17	1	no	—
848	C₂×C₄	—	17	1	no	—
849	C₂×C₄	—	17	1	no	—
850	C₂×C₄	—	17	1	no	—
851	C₂×C₄	—	17	1	no	—
852	C₂×C₄	—	17	1	no	—
853	C₂×C₄	—	17	1	no	—
854	C₂×C₄	—	17	1	no	—
855	C₂×C₄	—	17	1	no	—
856	C₂×C₄	—	17	1	no	—
857	C₂×C₄	—	34	2	no	—
858	C₂×C₄	—	34	2	no	—
859	C₂×C₄	—	34	2	no	—
860	C₂×C₄	—	34	2	no	—
861	C₂×C₄	—	34	2	no	—
862	C₂×C₄	—	34	2	no	—
863	C₂×C₄	—	34	2	no	—
864	C₂×C₄	—	34	2	no	—
865	C₂×C₄	—	34	2	no	—
866	C₂×C₄	—	68	1	no	—
867	C₂×C₄	—	68	1	no	—
868	C₂×C₄	—	68	1	no	—
869	C₂×C₄	—	68	1	no	—
870	C₂×C₄	—	68	1	no	—
871	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
872	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
873	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
874	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
875	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
876	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
877	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
878	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
879	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
880	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
881	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
882	C₂²	—	2	1	no	—
883	C₂²	—	2	1	no	—
884	C₂²	—	2	1	no	—
885	C₂²	—	2	1	no	—
886	C₂²	—	2	1	no	—
887	C₂²	—	2	1	no	—
888	C₂²	—	2	1	no	—
889	C₂²	—	2	1	no	—
890	C₂²	—	2	1	no	—
891	C₂²	—	2	1	no	—
892	C₂²	—	4	4	no	—
893	C₂²	—	34	1	no	—
894	C₂²	—	34	1	no	—
895	C₂²	—	34	1	no	—
896	C₂²	#41×D₁₇	1	2	yes	—
897	C₂²	#10587697	1	2	yes	—
898	C₂²	C₂⁴×D₁₇	1	1	yes	characteristic
899	C₄	—	2	1	no	—
900	C₄	—	2	1	no	—
901	C₄	—	2	1	no	—
902	C₄	—	2	1	no	—
903	C₄	—	2	1	no	—
904	C₄	—	2	1	no	—
905	C₄	—	2	1	no	—
906	C₄	—	2	1	no	—
907	C₄	—	2	1	no	—
908	C₄	—	2	1	no	—
909	C₄	—	2	1	no	—
910	C₄	—	17	2	no	—
911	C₄	—	17	2	no	—
912	C₄	—	34	1	no	—
913	C₄	—	34	1	no	—
914	C₄	—	34	1	no	—
915	C₄	—	34	1	no	—
916	C₄	—	34	1	no	—
917	C₄	—	34	1	no	—
918	C₄	—	34	1	no	—
919	C₄	—	34	1	no	—
920	C₄	—	34	1	no	—
921	C₄	—	34	1	no	—
922	C₄	—	34	1	no	—
923	C₄	—	34	1	no	—
924	C₄	—	34	1	no	—
925	C₂	—	2	2	no	—
926	C₂	—	2	2	no	—
927	C₂	—	4	1	no	—
928	C₂	—	4	1	no	—
929	C₂	—	68	1	no	—
930	C₂	C₂×#41×D₁₇	1	1	yes	characteristic
931	C₂	C₂×#10587697	1	1	yes	characteristic
932	C₂	#11763644	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₇
commutator, socle, cosocle	C₂²×C₁₇	C₂⁵
Fitting	C₁₇×#551	C₂
prime radical	#11763315	C₂
hypercenter	#551	D₁₇
hypocenter	C₁₇	#3495
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. #11763528	C₂	semidirect
2. #11763526	C₂	semidirect
3. #11763518	C₂	semidirect
4. #11763513	C₂	semidirect
5. #11763501	C₂	semidirect
6. #11763499	C₂	semidirect
7. #11763496	C₂	semidirect
8. #11763496	C₂	semidirect
9. #11763496	C₂	semidirect
10. #11763495	C₂	semidirect
11. #11763492	C₂	semidirect
12. #11763492	C₂	semidirect
13. #11763490	C₂	semidirect
14. #11763485	C₂	semidirect
15. #11763485	C₂	semidirect
16. #11763438	C₂	semidirect
17. #11763427	C₂	semidirect
18. #11763423	C₂	semidirect
19. #11763416	C₂	semidirect
20. #11763416	C₂	semidirect
21. #11763381	C₂	semidirect
22. #11763362	C₂	semidirect
23. #11763361	C₂	semidirect
24. #11763339	C₂	semidirect
25. #11763336	C₂	semidirect
27. C₂×#10587564	C₂	semidirect
28. #11763288	C₂	semidirect
29. #11763286	C₂	semidirect
30. C₂×#10587563	C₂	semidirect
31. C₁₇×#551	C₂	semidirect
53. #10587632	C₂²	semidirect
54. Q₈×Dic₁₇	C₂²	semidirect
55. #10587630	C₂²	semidirect
56. #10587630	C₂²	semidirect
72. C₄×C₂²⋊D₁₇	C₂²	semidirect
75. #10587612	C₂²	semidirect
79. #10587610	C₂²	semidirect
84. C₂×#63225	C₂²	semidirect
87. #10587584	C₂²	semidirect
88. #10587584	C₂²	semidirect
89. #10587584	C₂²	semidirect
90. #10587582	C₂²	semidirect
91. #10587582	C₂²	semidirect
92. #10587582	C₂²	semidirect
93. #10587578	C₂²	semidirect
94. C₄⋊C₄×D₁₇	C₂²	semidirect
95. #10587576	C₂²	semidirect
96. #10587576	C₂²	semidirect
97. #10587576	C₂²	semidirect
98. #10587576	C₂²	semidirect
99. #10587575	C₂²	semidirect
100. #10587575	C₂²	semidirect
101. #10587575	C₂²	semidirect
102. #10587575	C₂²	semidirect
103. #10587575	C₂²	semidirect
104. #10587575	C₂²	semidirect
105. #10587575	C₂²	semidirect
106. #10587575	C₂²	semidirect
107. #10587575	C₂²	semidirect
108. #10587575	C₂²	semidirect
109. #10587574	C₂²	semidirect
110. #10587574	C₂²	semidirect
111. #10587574	C₂²	semidirect
112. #10587574	C₂²	semidirect
113. #10587573	C₂²	semidirect
114. #10587573	C₂²	semidirect
115. #10587573	C₂²	semidirect
116. #10587573	C₂²	semidirect
117. #10587573	C₂²	semidirect
118. #10587573	C₂²	semidirect
124. #10587571	C₂²	semidirect
125. #10587571	C₂²	semidirect
132. #10587567	C₂²	semidirect
139. #10587565	C₂²	semidirect
140. #10587565	C₂²	semidirect
141. #10587565	C₂²	semidirect
142. #10587565	C₂²	semidirect
157. #10587564	C₂²	semidirect
158. #10587564	C₂²	semidirect
159. #10587564	C₂²	semidirect
173. #10587563	C₂²	semidirect
174. #10587563	C₂²	semidirect
175. #10587562	C₂²	semidirect
176. #10587558	C₂²	semidirect
177. #10587558	C₂²	semidirect
178. #10587556	C₂²	semidirect
179. #10587556	C₂²	semidirect
180. C₄×Dic₃₄	C₂²	semidirect
181. C₄×Dic₃₄	C₂²	semidirect
182. C₄×Dic₃₄	C₂²	semidirect
183. C₄×Dic₃₄	C₂²	semidirect
184. C₄×Dic₃₄	C₂²	semidirect
185. C₄×Dic₃₄	C₂²	semidirect
186. C₄×Dic₃₄	C₂²	semidirect
474. #551	D₁₇	semidirect
653. C₁₇	#3495	semidirect

Maximal subgroups

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

subgroup	index
#11763528	2
#11763526	2
#11763518	2
#11763513	2
#11763501	2
#11763499	2
#11763496	2
#11763495	2
#11763492	2
#11763490	2
#11763485	2
#11763438	2
#11763427	2
#11763423	2
#11763416	2
#11763381	2
#11763362	2
#11763361	2
#11763339	2
#11763336	2
#11763315	2
C₂×#10587564	2
#11763288	2
#11763286	2
C₂×#10587563	2
C₁₇×#551	2
#3495	17