Subgroups — #14543479

Order 2176.

958 conjugacy classes of subgroups.

The subgroup lattice has 954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11763561	C₂	1	1	yes	maximal, characteristic, complemented
2	#11763560	C₂	1	1	yes	maximal, characteristic, complemented
3	#11763558	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763551	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763532	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763531	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763531	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763526	C₂	1	1	yes	maximal, characteristic, complemented
9	#11763526	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	#11763486	C₂	1	1	yes	maximal, characteristic, complemented
13	#11763484	C₂	1	1	yes	maximal, characteristic, complemented
14	#11763483	C₂	1	1	yes	maximal, characteristic, complemented
15	#11763483	C₂	1	1	yes	maximal, characteristic, complemented
16	#11763433	C₂	1	1	yes	maximal, characteristic, complemented
17	#11763431	C₂	1	1	yes	maximal, characteristic, complemented
18	#11763431	C₂	1	1	yes	maximal, characteristic, complemented
19	#11763430	C₂	1	1	yes	maximal, characteristic, complemented
20	#11763429	C₂	1	1	yes	maximal, characteristic, complemented
21	#11763423	C₂	1	1	yes	maximal, characteristic, complemented
22	#11763399	C₂	1	1	yes	maximal, characteristic, complemented
23	#11763398	C₂	1	1	yes	maximal, characteristic, complemented
24	#11763398	C₂	1	1	yes	maximal, characteristic, complemented
25	#11763398	C₂	1	1	yes	maximal, characteristic, complemented
26	#11763393	C₂	1	1	yes	maximal, characteristic, complemented
27	#11763392	C₂	1	1	yes	maximal, characteristic, complemented
28	#11763346	C₂	1	1	yes	maximal, characteristic, complemented
29	#11763342	C₂	1	1	yes	maximal, characteristic, complemented
30	#11763337	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#556	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₁₇×#126	C₂²	1	1	yes	characteristic, complemented
34	C₁₇×#126	C₂²	1	1	yes	characteristic, complemented
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
38	C₁₇×#124	C₂²	1	1	yes	characteristic
39	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
42	C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
43	C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
44	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
45	C₁₇×#117	C₂²	1	1	yes	characteristic, complemented
46	C₁₇×#117	C₂²	1	1	yes	characteristic, complemented
47	#10587633	C₂²	1	1	yes	characteristic
48	#10587633	C₂²	1	1	yes	characteristic
49	#10587633	C₂²	1	1	yes	characteristic
50	#10587633	C₂²	1	1	yes	characteristic, complemented
51	#10587633	C₂²	1	1	yes	characteristic, complemented
52	#10587632	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	#10587632	C₂²	1	1	yes	characteristic, complemented
57	#10587630	C₂²	1	1	yes	characteristic, complemented
58	#10587630	C₂²	1	1	yes	characteristic, complemented
59	#10587625	C₂²	1	1	yes	characteristic
60	#10587623	C₂²	1	1	yes	characteristic
61	#10587623	C₂²	1	1	yes	characteristic
62	#10587621	C₂²	1	1	yes	characteristic
63	#10587616	C₂²	1	1	yes	characteristic
64	#10587615	C₂²	1	1	yes	characteristic
65	#10587615	C₂²	1	1	yes	characteristic
66	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
68	C₂×#63227	C₂²	1	1	yes	characteristic, complemented
69	C₂×#63227	C₂²	1	1	yes	characteristic, complemented
70	#10587610	C₂²	1	1	yes	characteristic, complemented
71	#10587584	C₂²	1	1	yes	characteristic, complemented
72	#10587584	C₂²	1	1	yes	characteristic, complemented
73	#10587584	C₂²	1	1	yes	characteristic, complemented
74	#10587584	C₂²	1	1	yes	characteristic, complemented
75	#10587584	C₂²	1	1	yes	characteristic, complemented
76	#10587584	C₂²	1	1	yes	characteristic, complemented
77	#10587584	C₂²	1	1	yes	characteristic, complemented
78	#10587584	C₂²	1	1	yes	characteristic, complemented
79	#10587584	C₂²	1	1	yes	characteristic, complemented
80	#10587584	C₂²	1	1	yes	characteristic, complemented
81	#10587584	C₂²	1	1	yes	characteristic, complemented
82	#10587584	C₂²	1	1	yes	characteristic, complemented
83	#10587583	C₂²	1	1	yes	characteristic, complemented
84	#10587582	C₂²	1	1	yes	characteristic, complemented
85	#10587582	C₂²	1	1	yes	characteristic, complemented
86	#10587582	C₂²	1	1	yes	characteristic, complemented
87	#10587582	C₂²	1	1	yes	characteristic, complemented
88	#10587582	C₂²	1	1	yes	characteristic, complemented
89	#10587582	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	#10587581	C₂²	1	1	yes	characteristic
94	#10587581	C₂²	1	1	yes	characteristic
95	#10587581	C₂²	1	1	yes	characteristic
96	#10587581	C₂²	1	1	yes	characteristic
97	#10587580	C₂²	1	1	yes	characteristic
98	#10587580	C₂²	1	1	yes	characteristic
99	#10587580	C₂²	1	1	yes	characteristic
100	#10587580	C₂²	1	1	yes	characteristic
101	#10587580	C₂²	1	1	yes	characteristic
102	#10587580	C₂²	1	1	yes	characteristic, complemented
103	#10587580	C₂²	1	1	yes	characteristic, complemented
104	#10587580	C₂²	1	1	yes	characteristic, complemented
105	#10587580	C₂²	1	1	yes	characteristic, complemented
106	#10587579	C₂²	1	1	yes	characteristic
107	#10587579	C₂²	1	1	yes	characteristic
108	#10587579	C₂²	1	1	yes	characteristic, complemented
109	#10587578	C₂²	1	1	yes	characteristic, complemented
110	#10587578	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	#10587574	C₂²	1	1	yes	characteristic, complemented
115	#10587574	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	#10587571	C₂²	1	1	yes	characteristic
121	#10587571	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
125	#10587571	C₂²	1	1	yes	characteristic
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	#10587569	C₂²	1	1	yes	characteristic
132	#10587569	C₂²	1	1	yes	characteristic
133	#10587569	C₂²	1	1	yes	characteristic
134	#10587569	C₂²	1	1	yes	characteristic, complemented
135	#10587569	C₂²	1	1	yes	characteristic, complemented
136	#10587568	C₂²	1	1	yes	characteristic
137	#10587568	C₂²	1	1	yes	characteristic
138	#10587568	C₂²	1	1	yes	characteristic
139	#10587568	C₂²	1	1	yes	characteristic
140	#10587568	C₂²	1	1	yes	characteristic, complemented
141	#10587568	C₂²	1	1	yes	characteristic, complemented
142	#10587567	C₂²	1	1	yes	characteristic
143	#10587567	C₂²	1	1	yes	characteristic
144	#10587567	C₂²	1	1	yes	characteristic
145	#10587567	C₂²	1	1	yes	characteristic, complemented
146	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
147	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
148	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
149	C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
150	#10587565	C₂²	1	1	yes	characteristic, complemented
151	#10587565	C₂²	1	1	yes	characteristic, complemented
152	#10587565	C₂²	1	1	yes	characteristic, complemented
153	#10587565	C₂²	1	1	yes	characteristic, complemented
154	#10587564	C₂²	1	1	yes	characteristic, complemented
155	#10587564	C₂²	1	1	yes	characteristic, complemented
156	#10587564	C₂²	1	1	yes	characteristic, complemented
157	#10587563	C₂²	1	1	yes	characteristic, complemented
158	#10587563	C₂²	1	1	yes	characteristic, complemented
159	#10587562	C₂²	1	1	yes	characteristic, complemented
160	#10587562	C₂²	1	1	yes	characteristic, complemented
161	#10587562	C₂²	1	1	yes	characteristic, complemented
162	#10587562	C₂²	1	1	yes	characteristic, complemented
163	#10587562	C₂²	1	1	yes	characteristic, complemented
164	#10587562	C₂²	1	1	yes	characteristic, complemented
165	#10587561	C₂²	1	1	yes	characteristic
166	#10587561	C₂²	1	1	yes	characteristic
167	#10587561	C₂²	1	1	yes	characteristic
168	#10587561	C₂²	1	1	yes	characteristic
169	#10587561	C₂²	1	1	yes	characteristic, complemented
170	#10587561	C₂²	1	1	yes	characteristic, complemented
171	C₄×D₆₈	C₂²	1	1	yes	characteristic
172	C₄×D₆₈	C₂²	1	1	yes	characteristic
173	C₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
174	C₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
175	C₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
176	#10587558	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	#10587558	C₂²	1	1	yes	characteristic, complemented
182	C₄²×D₁₇	C₂²	1	1	yes	characteristic, complemented
183	#10587555	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	C₂³×D₁₇	C₂³	1	1	yes	characteristic
188	C₂³×D₁₇	C₂³	1	1	yes	characteristic
189	C₂×Q₈×C₁₇	C₂³	1	1	yes	characteristic
190	C₂×Q₈×C₁₇	C₂³	1	1	yes	characteristic
191	C₂×Q₈×C₁₇	C₂³	1	1	yes	characteristic
192	C₂×D₄×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	C₂×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊D₁₇	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	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₇	C₂³	1	1	yes	characteristic
203	C₂×D₆₈	C₂³	1	1	yes	characteristic
204	C₂×D₆₈	C₂³	1	1	yes	characteristic
205	C₂×D₆₈	C₂³	1	1	yes	characteristic
206	C₂×D₆₈	C₂³	1	1	yes	characteristic
207	C₂×D₆₈	C₂³	1	1	yes	characteristic
208	C₂×D₆₈	C₂³	1	1	yes	characteristic
209	C₂×D₆₈	C₂³	1	1	yes	characteristic
210	C₂×D₆₈	C₂³	1	1	yes	characteristic
211	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
212	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
213	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
214	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
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×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×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	C₂×Dic₃₄	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	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	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	C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
250	C₄²×C₁₇	C₂³	1	1	yes	characteristic
251	C₄²×C₁₇	C₂³	1	1	yes	characteristic
252	C₄²×C₁₇	C₂³	1	1	yes	characteristic
253	C₄²×C₁₇	C₂³	1	1	yes	characteristic
254	C₄²×C₁₇	C₂³	1	1	yes	characteristic
255	C₄²×C₁₇	C₂³	1	1	yes	characteristic
256	C₄²×C₁₇	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	#63227	C₂³	1	1	yes	characteristic
264	#63227	C₂³	1	1	yes	characteristic
265	#63227	C₂³	1	1	yes	characteristic
266	#63227	C₂³	1	1	yes	characteristic
267	#63227	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	#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	#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	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	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
307	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
308	C₄⋊Dic₁₇	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	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	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
343	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
344	C₂²×D₁₇	—	4	1	no	—
345	C₂²×D₁₇	—	4	1	no	—
346	C₂²×D₁₇	—	4	1	no	—
347	C₂²×D₁₇	—	4	1	no	—
348	C₂²×D₁₇	—	4	1	no	—
349	C₂²×D₁₇	—	4	1	no	—
350	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
351	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
352	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
353	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
354	C₂²×D₁₇	C₂⁴	1	1	yes	characteristic
355	Q₈×C₁₇	—	4	1	no	—
356	Q₈×C₁₇	—	4	1	no	—
357	Q₈×C₁₇	—	4	1	no	—
358	D₄×C₁₇	—	4	1	no	—
359	C₂×C₄×C₁₇	—	4	1	no	—
360	C₂×C₄×C₁₇	—	4	1	no	—
361	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
374	C₂²⋊D₁₇	—	4	1	no	—
375	C₂²⋊D₁₇	—	4	1	no	—
376	C₂²⋊D₁₇	—	4	1	no	—
377	C₂²⋊D₁₇	—	4	1	no	—
378	C₂²⋊D₁₇	—	4	1	no	—
379	C₂²⋊D₁₇	—	4	1	no	—
380	C₂×Dic₁₇	—	4	1	no	—
381	C₂×Dic₁₇	—	4	1	no	—
382	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
384	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
386	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
387	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
388	C₂×Dic₁₇	C₂⁴	1	1	yes	characteristic
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	D₆₈	—	4	1	no	—
394	D₆₈	—	4	1	no	—
395	D₆₈	—	4	1	no	—
396	D₆₈	—	4	1	no	—
397	D₆₈	—	4	1	no	—
398	D₆₈	—	4	1	no	—
399	D₆₈	—	4	1	no	—
400	D₆₈	—	4	1	no	—
401	C₄×D₁₇	—	4	1	no	—
402	C₄×D₁₇	—	4	1	no	—
403	C₄×D₁₇	—	4	1	no	—
404	C₄×D₁₇	—	4	1	no	—
405	C₄×D₁₇	—	4	1	no	—
406	C₄×D₁₇	—	4	1	no	—
407	C₄×D₁₇	—	4	1	no	—
408	C₄×D₁₇	—	4	1	no	—
409	C₄×D₁₇	—	4	1	no	—
410	C₄×D₁₇	—	4	1	no	—
411	C₄×D₁₇	—	4	1	no	—
412	Dic₃₄	—	4	1	no	—
413	Dic₃₄	—	4	1	no	—
414	Dic₃₄	—	4	1	no	—
415	Dic₃₄	—	4	1	no	—
416	Dic₃₄	—	4	1	no	—
417	Dic₃₄	—	4	1	no	—
418	#3568	—	17	1	no	maximal, Sylow
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	C₂⁵	1	1	yes	characteristic
426	C₂×D₁₇	—	2	1	no	—
427	C₂×D₁₇	—	2	1	no	—
428	C₂×D₁₇	—	2	1	no	—
429	C₂×D₁₇	—	2	1	no	—
430	C₂×D₁₇	—	2	1	no	—
431	C₂×D₁₇	—	2	1	no	—
432	C₂×D₁₇	—	2	1	no	—
433	C₂×D₁₇	—	2	1	no	—
434	C₂×D₁₇	—	2	1	no	—
435	C₂×D₁₇	—	2	1	no	—
436	C₂×D₁₇	—	2	1	no	—
437	C₂×D₁₇	—	2	1	no	—
438	C₂×D₁₇	—	2	1	no	—
439	C₂×D₁₇	—	2	1	no	—
440	C₂×D₁₇	—	2	1	no	—
441	C₂×D₁₇	—	8	2	no	—
442	C₂×D₁₇	—	8	2	no	—
443	C₄×C₁₇	—	2	1	no	—
444	C₄×C₁₇	—	2	1	no	—
445	C₄×C₁₇	—	2	1	no	—
446	C₄×C₁₇	—	2	1	no	—
447	C₄×C₁₇	—	2	1	no	—
448	C₄×C₁₇	—	2	1	no	—
449	C₄×C₁₇	—	2	1	no	—
450	C₄×C₁₇	—	2	1	no	—
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	Dic₁₇	—	2	1	no	—
457	Dic₁₇	—	2	1	no	—
458	Dic₁₇	—	2	1	no	—
459	Dic₁₇	—	2	1	no	—
460	Dic₁₇	—	2	1	no	—
461	Dic₁₇	—	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	#563	—	17	1	no	—
468	#563	—	17	1	no	—
469	#563	—	17	1	no	—
470	H(3,𝔽₄)	—	17	1	no	—
471	#556	—	17	1	no	—
472	#556	—	17	1	no	—
473	#556	—	17	1	no	—
474	#556	—	17	1	no	—
475	#556	—	17	1	no	—
476	#556	D₁₇	1	1	yes	characteristic, complemented
477	#551	—	17	1	no	—
478	#551	—	17	1	no	—
479	#551	—	17	1	no	—
480	#551	—	17	1	no	—
481	#551	—	17	1	no	—
482	#551	—	17	1	no	—
483	#542	—	17	1	no	—
484	#542	—	17	1	no	—
485	#542	—	17	1	no	—
486	#542	—	17	1	no	—
487	#542	—	17	1	no	—
488	#542	—	17	1	no	—
489	#538	—	17	1	no	—
490	#538	—	17	1	no	—
491	#538	—	17	1	no	—
492	#538	—	17	1	no	—
493	#538	—	17	1	no	—
494	#538	—	17	1	no	—
495	#529	—	17	1	no	—
496	#529	—	17	1	no	—
497	#529	—	17	1	no	—
498	C₂×C₁₇	—	4	1	no	—
499	C₂×C₁₇	—	4	1	no	—
500	C₂×C₁₇	#585	1	1	yes	characteristic
501	C₂×C₁₇	#585	1	1	yes	characteristic
502	C₂×C₁₇	#585	1	1	yes	characteristic
503	D₁₇	—	4	1	no	—
504	D₁₇	—	4	1	no	—
505	D₁₇	—	4	1	no	—
506	D₁₇	—	4	1	no	—
507	D₁₇	—	4	1	no	—
508	C₄⋊Q₈	—	17	1	no	—
509	C₄⋊Q₈	—	17	1	no	—
510	C₄⋊Q₈	—	17	1	no	—
511	C₄⋊Q₈	—	17	1	no	—
512	C₄⋊Q₈	—	17	1	no	—
513	C₄⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
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	—	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	—	17	1	no	—
534	#126	—	17	1	no	—
535	#126	—	17	1	no	—
536	#126	C₂×D₁₇	1	1	yes	characteristic, complemented
537	#126	C₂×D₁₇	1	1	yes	characteristic, complemented
538	#126	C₂×D₁₇	1	1	yes	characteristic, complemented
539	#126	C₂×D₁₇	1	1	yes	characteristic, complemented
540	#125	—	17	1	no	—
541	#125	—	17	1	no	—
542	#125	—	17	1	no	—
543	#124	—	17	1	no	—
544	#124	—	17	1	no	—
545	#124	—	17	1	no	—
546	#124	—	17	1	no	—
547	#124	—	17	1	no	—
548	#124	—	17	1	no	—
549	#124	—	17	1	no	—
550	#124	—	17	1	no	—
551	#124	—	17	1	no	—
552	#124	—	17	1	no	—
553	#124	—	17	1	no	—
554	#124	—	17	1	no	—
555	#124	—	17	1	no	—
556	#124	—	17	1	no	—
557	#124	—	17	1	no	—
558	#124	—	17	1	no	—
559	#124	—	17	1	no	—
560	#124	—	17	1	no	—
561	#124	—	17	1	no	—
562	#124	C₂×D₁₇	1	1	yes	characteristic
563	#124	C₂×D₁₇	1	1	yes	characteristic
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	—	17	1	no	—
577	#123	—	17	1	no	—
578	#123	—	17	1	no	—
579	#123	—	17	1	no	—
580	#123	—	17	1	no	—
581	#123	—	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	—	17	1	no	—
598	C₂²⋊Q₈	—	17	1	no	—
599	C₂²⋊Q₈	—	17	1	no	—
600	C₂²⋊Q₈	—	17	1	no	—
601	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
602	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
603	#121	—	17	1	no	—
604	#121	—	17	1	no	—
605	#121	—	17	1	no	—
606	#121	—	17	1	no	—
607	#121	—	17	1	no	—
608	#121	—	17	1	no	—
609	#121	—	17	1	no	—
610	#121	—	17	1	no	—
611	#121	—	17	1	no	—
612	#120	—	17	1	no	—
613	#120	—	17	1	no	—
614	#120	—	17	1	no	—
615	#120	—	17	1	no	—
616	#120	—	17	1	no	—
617	#120	—	17	1	no	—
618	#120	—	17	1	no	—
619	#120	—	17	1	no	—
620	C₄×Q₈	—	17	1	no	—
621	C₄×Q₈	—	17	1	no	—
622	C₄×Q₈	—	17	1	no	—
623	C₄×Q₈	—	17	1	no	—
624	C₄×Q₈	—	17	1	no	—
625	C₄×Q₈	—	17	1	no	—
626	C₄×Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
627	C₄×Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
628	C₄×Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
629	C₄×D₄	—	17	1	no	—
630	C₄×D₄	—	17	1	no	—
631	C₄×D₄	—	17	1	no	—
632	C₄×D₄	—	17	1	no	—
633	C₄×D₄	—	17	1	no	—
634	C₄×D₄	—	17	1	no	—
635	C₄×D₄	—	17	1	no	—
636	C₄×D₄	—	17	1	no	—
637	C₄×D₄	—	17	1	no	—
638	C₄×D₄	—	17	1	no	—
639	C₄×D₄	—	17	1	no	—
640	C₄×D₄	—	17	1	no	—
641	C₄×D₄	—	17	1	no	—
642	C₄×D₄	—	17	1	no	—
643	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
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	—	17	1	no	—
650	#117	—	17	1	no	—
651	#117	—	17	1	no	—
652	#117	—	17	1	no	—
653	#117	—	17	1	no	—
654	#117	C₂×D₁₇	1	1	yes	characteristic, complemented
655	#117	C₂×D₁₇	1	1	yes	characteristic, complemented
656	C₂×C₂²⋊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×C₄²	—	17	1	no	—
663	C₁₇	#3568	1	1	yes	characteristic, complemented, Sylow
664	C₂⁴	—	17	1	no	—
665	C₂⁴	—	17	1	no	—
666	C₂×Q₈	—	17	1	no	—
667	C₂×Q₈	—	17	1	no	—
668	C₂×Q₈	—	17	1	no	—
669	C₂×Q₈	—	17	1	no	—
670	C₂×Q₈	—	17	1	no	—
671	C₂×Q₈	—	17	1	no	—
672	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
673	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
674	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
675	C₂×D₄	—	17	1	no	—
676	C₂×D₄	—	17	1	no	—
677	C₂×D₄	—	17	1	no	—
678	C₂×D₄	—	17	1	no	—
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	—	17	1	no	—
689	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
690	C₂²×C₄	—	17	1	no	—
691	C₂²×C₄	—	17	1	no	—
692	C₂²×C₄	—	17	1	no	—
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	C₂²×D₁₇	1	1	yes	characteristic
704	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
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	C₂²×D₁₇	1	1	yes	characteristic
736	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
737	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
738	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
739	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
740	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
741	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
742	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
743	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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	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	—	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	C₂²×D₁₇	1	1	yes	characteristic
792	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
793	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
794	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
795	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
796	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
797	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
798	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
799	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
800	C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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	—	17	1	no	—
810	C₄²	—	17	1	no	—
811	C₄²	—	17	1	no	—
812	C₄²	C₂²×D₁₇	1	1	yes	characteristic
813	C₄²	C₂²×D₁₇	1	1	yes	characteristic
814	C₄²	C₂²×D₁₇	1	1	yes	characteristic
815	C₄²	C₂²×D₁₇	1	1	yes	characteristic
816	C₄²	C₂²×D₁₇	1	1	yes	characteristic
817	C₄²	C₂²×D₁₇	1	1	yes	characteristic
818	C₄²	C₂²×D₁₇	1	1	yes	characteristic
819	C₂³	—	17	1	no	—
820	C₂³	—	17	1	no	—
821	C₂³	—	17	1	no	—
822	C₂³	—	17	1	no	—
823	C₂³	—	17	1	no	—
824	C₂³	—	68	1	no	—
825	C₂³	—	68	1	no	—
826	C₂³	—	68	1	no	—
827	C₂³	—	68	1	no	—
828	C₂³	—	68	1	no	—
829	C₂³	—	68	1	no	—
830	C₂³	C₂³×D₁₇	1	1	yes	characteristic
831	C₂³	C₂³×D₁₇	1	1	yes	characteristic
832	Q₈	—	4	1	no	—
833	Q₈	—	4	1	no	—
834	Q₈	—	4	1	no	—
835	Q₈	—	68	1	no	—
836	Q₈	—	68	1	no	—
837	Q₈	—	68	1	no	—
838	Q₈	—	68	1	no	—
839	Q₈	—	68	1	no	—
840	Q₈	—	68	1	no	—
841	D₄	—	4	1	no	—
842	D₄	—	68	1	no	—
843	D₄	—	68	1	no	—
844	D₄	—	68	1	no	—
845	D₄	—	68	1	no	—
846	D₄	—	68	1	no	—
847	D₄	—	68	1	no	—
848	D₄	—	68	1	no	—
849	D₄	—	68	1	no	—
850	D₄	—	68	1	no	—
851	D₄	—	68	1	no	—
852	D₄	—	68	1	no	—
853	D₄	—	68	1	no	—
854	D₄	—	68	1	no	—
855	D₄	—	68	1	no	—
856	C₂×C₄	—	4	1	no	—
857	C₂×C₄	—	4	1	no	—
858	C₂×C₄	—	17	1	no	—
859	C₂×C₄	—	17	1	no	—
860	C₂×C₄	—	17	1	no	—
861	C₂×C₄	—	17	1	no	—
862	C₂×C₄	—	17	1	no	—
863	C₂×C₄	—	17	1	no	—
864	C₂×C₄	—	17	1	no	—
865	C₂×C₄	—	17	1	no	—
866	C₂×C₄	—	17	1	no	—
867	C₂×C₄	—	17	1	no	—
868	C₂×C₄	—	17	1	no	—
869	C₂×C₄	—	68	1	no	—
870	C₂×C₄	—	68	1	no	—
871	C₂×C₄	—	68	1	no	—
872	C₂×C₄	—	68	1	no	—
873	C₂×C₄	—	68	1	no	—
874	C₂×C₄	—	68	1	no	—
875	C₂×C₄	—	68	1	no	—
876	C₂×C₄	—	68	1	no	—
877	C₂×C₄	—	68	1	no	—
878	C₂×C₄	—	68	1	no	—
879	C₂×C₄	—	68	1	no	—
880	C₂×C₄	—	68	1	no	—
881	C₂×C₄	—	68	1	no	—
882	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
883	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
884	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
885	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
886	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
887	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
888	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
889	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
890	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
891	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
892	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
893	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
894	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
895	C₂²	—	2	1	no	—
896	C₂²	—	2	1	no	—
897	C₂²	—	2	1	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	1	no	—
900	C₂²	—	2	1	no	—
901	C₂²	—	34	1	no	—
902	C₂²	—	34	1	no	—
903	C₂²	—	34	1	no	—
904	C₂²	—	34	1	no	—
905	C₂²	—	34	1	no	—
906	C₂²	—	34	1	no	—
907	C₂²	—	34	1	no	—
908	C₂²	—	34	1	no	—
909	C₂²	—	34	1	no	—
910	C₂²	—	34	1	no	—
911	C₂²	—	34	1	no	—
912	C₂²	—	34	1	no	—
913	C₂²	—	34	1	no	—
914	C₂²	—	34	1	no	—
915	C₂²	—	34	1	no	—
916	C₂²	—	136	2	no	—
917	C₂²	—	136	2	no	—
918	C₂²	C₂⁴×D₁₇	1	1	yes	characteristic
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	2	1	no	—
924	C₄	—	2	1	no	—
925	C₄	—	2	1	no	—
926	C₄	—	2	1	no	—
927	C₄	—	2	1	no	—
928	C₄	—	2	1	no	—
929	C₄	—	2	1	no	—
930	C₄	—	2	1	no	—
931	C₄	—	2	1	no	—
932	C₄	—	34	1	no	—
933	C₄	—	34	1	no	—
934	C₄	—	34	1	no	—
935	C₄	—	34	1	no	—
936	C₄	—	34	1	no	—
937	C₄	—	34	1	no	—
938	C₄	—	34	1	no	—
939	C₄	—	34	1	no	—
940	C₄	—	34	1	no	—
941	C₄	—	34	1	no	—
942	C₄	—	34	1	no	—
943	C₂	—	4	1	no	—
944	C₂	—	4	1	no	—
945	C₂	—	68	1	no	—
946	C₂	—	68	1	no	—
947	C₂	—	68	1	no	—
948	C₂	—	68	1	no	—
949	C₂	—	68	1	no	—
950	C₂	#11763645	1	1	yes	characteristic
951	C₂	#11763645	1	1	yes	characteristic
952	C₂	#11763646	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₇
commutator, socle, cosocle	C₂²×C₁₇	C₂⁵
Fitting	C₁₇×#556	C₂
hypercenter	#556	D₁₇
hypocenter	C₁₇	#3568
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #556

Complements

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

N	H ≅ G/N	type
1. #11763561	C₂	semidirect
2. #11763560	C₂	semidirect
3. #11763558	C₂	semidirect
4. #11763551	C₂	semidirect
5. #11763532	C₂	semidirect
6. #11763531	C₂	semidirect
7. #11763531	C₂	semidirect
8. #11763526	C₂	semidirect
9. #11763526	C₂	semidirect
10. #11763489	C₂	semidirect
11. #11763488	C₂	semidirect
12. #11763486	C₂	semidirect
13. #11763484	C₂	semidirect
14. #11763483	C₂	semidirect
15. #11763483	C₂	semidirect
16. #11763433	C₂	semidirect
17. #11763431	C₂	semidirect
18. #11763431	C₂	semidirect
19. #11763430	C₂	semidirect
20. #11763429	C₂	semidirect
21. #11763423	C₂	semidirect
22. #11763399	C₂	semidirect
23. #11763398	C₂	semidirect
24. #11763398	C₂	semidirect
25. #11763398	C₂	semidirect
26. #11763393	C₂	semidirect
27. #11763392	C₂	semidirect
28. #11763346	C₂	semidirect
29. #11763342	C₂	semidirect
30. #11763337	C₂	semidirect
31. C₁₇×#556	C₂	semidirect
32. C₁₇×C₄⋊Q₈	C₂²	semidirect
33. C₁₇×#126	C₂²	semidirect
34. C₁₇×#126	C₂²	semidirect
35. C₁₇×#126	C₂²	semidirect
36. C₁₇×#126	C₂²	semidirect
39. C₁₇×C₂²⋊Q₈	C₂²	semidirect
40. C₁₇×C₂²⋊Q₈	C₂²	semidirect
41. C₄×Q₈×C₁₇	C₂²	semidirect
42. C₄×Q₈×C₁₇	C₂²	semidirect
43. C₄×Q₈×C₁₇	C₂²	semidirect
45. C₁₇×#117	C₂²	semidirect
46. C₁₇×#117	C₂²	semidirect
50. #10587633	C₂²	semidirect
51. #10587633	C₂²	semidirect
52. #10587632	C₂²	semidirect
53. #10587632	C₂²	semidirect
54. #10587632	C₂²	semidirect
55. #10587632	C₂²	semidirect
56. #10587632	C₂²	semidirect
57. #10587630	C₂²	semidirect
58. #10587630	C₂²	semidirect
67. C₄×C₂²⋊D₁₇	C₂²	semidirect
68. C₂×#63227	C₂²	semidirect
69. C₂×#63227	C₂²	semidirect
70. #10587610	C₂²	semidirect
71. #10587584	C₂²	semidirect
72. #10587584	C₂²	semidirect
73. #10587584	C₂²	semidirect
74. #10587584	C₂²	semidirect
75. #10587584	C₂²	semidirect
76. #10587584	C₂²	semidirect
77. #10587584	C₂²	semidirect
78. #10587584	C₂²	semidirect
79. #10587584	C₂²	semidirect
80. #10587584	C₂²	semidirect
81. #10587584	C₂²	semidirect
82. #10587584	C₂²	semidirect
83. #10587583	C₂²	semidirect
84. #10587582	C₂²	semidirect
85. #10587582	C₂²	semidirect
86. #10587582	C₂²	semidirect
87. #10587582	C₂²	semidirect
88. #10587582	C₂²	semidirect
89. #10587582	C₂²	semidirect
90. #10587582	C₂²	semidirect
91. #10587582	C₂²	semidirect
92. #10587582	C₂²	semidirect
102. #10587580	C₂²	semidirect
103. #10587580	C₂²	semidirect
104. #10587580	C₂²	semidirect
105. #10587580	C₂²	semidirect
108. #10587579	C₂²	semidirect
109. #10587578	C₂²	semidirect
110. #10587578	C₂²	semidirect
111. #10587576	C₂²	semidirect
112. #10587575	C₂²	semidirect
113. #10587575	C₂²	semidirect
114. #10587574	C₂²	semidirect
115. #10587574	C₂²	semidirect
116. #10587573	C₂²	semidirect
117. #10587573	C₂²	semidirect
118. #10587573	C₂²	semidirect
126. #10587571	C₂²	semidirect
127. #10587571	C₂²	semidirect
134. #10587569	C₂²	semidirect
135. #10587569	C₂²	semidirect
140. #10587568	C₂²	semidirect
141. #10587568	C₂²	semidirect
145. #10587567	C₂²	semidirect
146. C₂²⋊C₄×D₁₇	C₂²	semidirect
147. C₂²⋊C₄×D₁₇	C₂²	semidirect
148. C₂²⋊C₄×D₁₇	C₂²	semidirect
149. C₂²⋊C₄×D₁₇	C₂²	semidirect
150. #10587565	C₂²	semidirect
151. #10587565	C₂²	semidirect
152. #10587565	C₂²	semidirect
153. #10587565	C₂²	semidirect
154. #10587564	C₂²	semidirect
155. #10587564	C₂²	semidirect
156. #10587564	C₂²	semidirect
157. #10587563	C₂²	semidirect
158. #10587563	C₂²	semidirect
159. #10587562	C₂²	semidirect
160. #10587562	C₂²	semidirect
161. #10587562	C₂²	semidirect
162. #10587562	C₂²	semidirect
163. #10587562	C₂²	semidirect
164. #10587562	C₂²	semidirect
169. #10587561	C₂²	semidirect
170. #10587561	C₂²	semidirect
173. C₄×D₆₈	C₂²	semidirect
174. C₄×D₆₈	C₂²	semidirect
175. C₄×D₆₈	C₂²	semidirect
176. #10587558	C₂²	semidirect
177. #10587558	C₂²	semidirect
178. #10587558	C₂²	semidirect
179. #10587558	C₂²	semidirect
180. #10587558	C₂²	semidirect
181. #10587558	C₂²	semidirect
182. C₄²×D₁₇	C₂²	semidirect
183. #10587555	C₂²	semidirect
184. C₄×Dic₃₄	C₂²	semidirect
185. C₄×Dic₃₄	C₂²	semidirect
186. C₄×Dic₃₄	C₂²	semidirect
476. #556	D₁₇	semidirect
513. C₄⋊Q₈	C₂×D₁₇	semidirect
536. #126	C₂×D₁₇	semidirect
537. #126	C₂×D₁₇	semidirect
538. #126	C₂×D₁₇	semidirect
539. #126	C₂×D₁₇	semidirect
601. C₂²⋊Q₈	C₂×D₁₇	semidirect
602. C₂²⋊Q₈	C₂×D₁₇	semidirect
626. C₄×Q₈	C₂×D₁₇	semidirect
627. C₄×Q₈	C₂×D₁₇	semidirect
628. C₄×Q₈	C₂×D₁₇	semidirect
654. #117	C₂×D₁₇	semidirect
655. #117	C₂×D₁₇	semidirect
663. C₁₇	#3568	semidirect

Maximal subgroups

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

subgroup	index
#11763561	2
#11763560	2
#11763558	2
#11763551	2
#11763532	2
#11763531	2
#11763526	2
#11763489	2
#11763488	2
#11763486	2
#11763484	2
#11763483	2
#11763433	2
#11763431	2
#11763430	2
#11763429	2
#11763423	2
#11763399	2
#11763398	2
#11763393	2
#11763392	2
#11763346	2
#11763342	2
#11763337	2
C₁₇×#556	2
#3568	17