Subgroups — #17899465

Order 4352.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542077	C₂	1	1	yes	maximal, characteristic
2	#14537941	C₂	1	2	yes	maximal, complemented
3	#14537937	C₂	1	2	yes	maximal, complemented
4	#14537922	C₂	1	2	yes	maximal, complemented
5	#14537919	C₂	1	2	yes	maximal, complemented
6	#14537911	C₂	1	1	yes	maximal, characteristic, complemented
7	#14537909	C₂	1	1	yes	maximal, characteristic, complemented
8	#14537906	C₂	1	1	yes	maximal, characteristic, complemented
9	#14537903	C₂	1	1	yes	maximal, characteristic, complemented
10	#14537898	C₂	1	1	yes	maximal, characteristic, complemented
11	#14537893	C₂	1	1	yes	maximal, characteristic, complemented
12	#14537892	C₂	1	1	yes	maximal, characteristic, complemented
13	#14537729	C₂	1	2	yes	maximal, complemented
14	#14537525	C₂	1	2	yes	maximal, complemented
15	#14537475	C₂	1	2	yes	maximal, complemented
16	#14537473	C₂	1	2	yes	maximal, complemented
17	#14537451	C₂	1	1	yes	maximal, characteristic, complemented
18	#14537445	C₂	1	1	yes	maximal, characteristic, complemented
19	#14537414	C₂	1	1	yes	maximal, characteristic, complemented
20	#14537353	C₂	1	1	yes	maximal, characteristic, complemented
21	#14537349	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄⋊C₈×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₇×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#10587593	C₂²	1	2	yes	—
25	C₂×#10587587	C₂²	1	2	yes	—
26	C₂²×C₈×D₁₇	C₂²	1	2	yes	—
27	#11763363	C₄	1	1	yes	characteristic
28	#11763363	C₂²	1	1	yes	characteristic
29	#11763362	C₄	1	1	yes	characteristic
30	#11763356	C₄	1	1	yes	characteristic
31	#11763356	C₂²	1	1	yes	characteristic
32	#11763355	C₄	1	1	yes	characteristic
33	#11763346	C₄	1	1	yes	characteristic
34	#11763346	C₂²	1	1	yes	characteristic
35	#11763341	C₄	1	1	yes	characteristic
36	#11763341	C₂²	1	1	yes	characteristic
37	#11763339	C₄	1	1	yes	characteristic
38	#11763339	C₄	1	1	yes	characteristic
39	#11763339	C₂²	1	1	yes	characteristic
40	#11763339	C₂²	1	1	yes	characteristic
41	#11763337	C₄	1	1	yes	characteristic
42	#11763337	C₄	1	1	yes	characteristic
43	#11763337	C₄	1	1	yes	characteristic
44	#11763337	C₄	1	1	yes	characteristic
45	#11763321	C₄	1	1	yes	characteristic
46	#11763318	C₄	1	1	yes	characteristic
47	#11763318	C₄	1	1	yes	characteristic
48	#11763318	C₂²	1	1	yes	characteristic
49	#11763318	C₂²	1	1	yes	characteristic
50	#11763316	C₄	1	1	yes	characteristic
51	C₄×#63252	C₂²	1	1	yes	characteristic
52	C₄×#63252	C₂²	1	1	yes	characteristic
53	C₄×#63252	C₂²	1	1	yes	characteristic
54	C₄×#63252	C₂²	1	1	yes	characteristic
55	C₄×#63252	C₂²	1	1	yes	characteristic
56	C₂×C₄²×D₁₇	C₂²	1	1	yes	characteristic
57	#11762940	C₂²	1	2	yes	complemented
58	#11762938	C₂²	1	2	yes	complemented
59	#11762938	C₂²	1	2	yes	complemented
60	#11762937	C₂²	1	2	yes	complemented
61	#11762937	C₂²	1	2	yes	complemented
62	C₈×Dic₃₄	C₂²	1	2	yes	complemented
63	#11762933	C₂²	1	2	yes	complemented
64	#11762885	C₂²	1	2	yes	complemented
65	#11762884	C₂²	1	2	yes	complemented
66	#11762883	C₂²	1	2	yes	—
67	#11762882	C₂²	1	2	yes	—
68	#11762882	C₂²	1	2	yes	complemented
69	#11762881	C₂²	1	2	yes	—
70	#11762881	C₂²	1	2	yes	complemented
71	#11762880	C₂²	1	2	yes	—
72	#11762879	C₂²	1	2	yes	—
73	#11762879	C₂²	1	2	yes	complemented
74	#11762878	C₂²	1	2	yes	—
75	#11762877	C₂²	1	2	yes	—
76	C₈×D₆₈	C₂²	1	2	yes	—
77	D₄×#3622	C₂²	1	2	yes	—
78	#11762874	C₂²	1	2	yes	—
79	C₈×C₂²⋊D₁₇	C₂²	1	2	yes	—
80	C₈×C₂²⋊D₁₇	C₂²	1	2	yes	—
81	C₈×C₂²⋊D₁₇	C₂²	1	2	yes	complemented
82	#11762872	C₂²	1	2	yes	—
83	#11762872	C₂²	1	2	yes	—
84	#11762872	C₂²	1	2	yes	complemented
85	#11762871	C₂²	1	2	yes	complemented
86	#11762868	C₂²	1	2	yes	complemented
87	#11762867	C₂²	1	2	yes	complemented
88	#11762867	C₂²	1	2	yes	complemented
89	#11762866	C₂²	1	1	yes	characteristic
90	#11762866	C₂²	1	1	yes	characteristic, complemented
91	#11762865	C₂²	1	1	yes	characteristic, complemented
92	#11762865	C₂²	1	1	yes	characteristic, complemented
93	#11762864	C₂²	1	2	yes	—
94	#11762862	C₂²	1	1	yes	characteristic, complemented
95	#11762861	C₂²	1	1	yes	characteristic
96	#11762861	C₂²	1	1	yes	characteristic
97	#11762861	C₂²	1	1	yes	characteristic, complemented
98	#11762861	C₂²	1	1	yes	characteristic, complemented
99	#11762859	C₂²	1	2	yes	—
100	#11762837	C₂²	1	2	yes	complemented
101	#11762835	C₂²	1	2	yes	complemented
102	#11762834	C₂²	1	2	yes	—
103	#11762834	C₂²	1	2	yes	—
104	#11762834	C₂²	1	2	yes	complemented
105	#11762834	C₂²	1	2	yes	complemented
106	#11762833	C₂²	1	1	yes	characteristic, complemented
107	#11762831	C₂²	1	1	yes	characteristic
108	#11762831	C₂²	1	1	yes	characteristic
109	#11762831	C₂²	1	1	yes	characteristic, complemented
110	#11762831	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₄⋊#3622	C₂²	1	1	yes	characteristic
112	C₂×C₄⋊#3622	C₂²	1	1	yes	characteristic, complemented
113	C₂×#10587485	C₂²	1	2	yes	—
114	C₄⋊C₈×D₁₇	C₂²	1	2	yes	—
115	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
116	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
117	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
118	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
119	C₄⋊C₈×D₁₇	C₂²	1	2	yes	—
120	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
121	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
122	#11762774	C₂²	1	2	yes	—
123	#11762774	C₂²	1	2	yes	—
124	#11762771	C₂²	1	2	yes	—
125	#11762766	C₂²	1	2	yes	—
126	#11762763	C₂²	1	2	yes	—
127	#11762761	C₂²	1	2	yes	—
128	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic
129	C₁₇×#446	C₂²	1	2	yes	complemented
130	C₁₇×#435	C₂²	1	2	yes	—
131	C₁₇×#435	C₂²	1	2	yes	complemented
132	C₈×D₄×C₁₇	C₂²	1	2	yes	—
133	C₁₇×#432	C₂²	1	1	yes	characteristic
134	C₁₇×#432	C₂²	1	1	yes	characteristic, complemented
135	C₁₇×#431	C₂²	1	1	yes	characteristic, complemented
136	C₁₇×#423	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₁₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
138	C₂×C₁₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
139	C₂×#41×C₁₇	C₂×C₄	1	1	yes	characteristic
140	C₂×#63252	C₂×C₄	1	1	yes	characteristic
141	C₂×#63252	C₂×C₄	1	1	yes	characteristic
142	C₂×#63252	C₂×C₄	1	1	yes	characteristic
143	C₂×#63252	C₂³	1	1	yes	characteristic
144	C₂×#63252	C₂³	1	1	yes	characteristic
145	C₂²×C₄×D₁₇	C₂×C₄	1	1	yes	characteristic
146	C₂²×C₄×D₁₇	C₂×C₄	1	1	yes	characteristic
147	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
148	C₂×M₁₆×C₁₇	C₂³	1	2	yes	—
149	C₂²×C₈×C₁₇	C₂³	1	2	yes	—
150	C₂²×C₈×C₁₇	C₂³	1	2	yes	—
151	C₄×Q₈×C₁₇	C₂×C₄	1	1	yes	characteristic
152	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
153	C₄×D₄×C₁₇	C₂×C₄	1	1	yes	characteristic
154	C₄×D₄×C₁₇	C₂×C₄	1	1	yes	characteristic
155	C₄×D₄×C₁₇	C₂×C₄	1	1	yes	characteristic
156	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
157	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
158	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
159	C₁₇×#117	C₂×C₄	1	1	yes	characteristic
160	C₁₇×#117	C₂×C₄	1	1	yes	characteristic
161	C₁₇×#117	C₂×C₄	1	1	yes	characteristic
162	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
163	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
164	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
165	#10587633	C₂×C₄	1	1	yes	characteristic
166	#10587632	C₂×C₄	1	1	yes	characteristic
167	#10587632	C₂×C₄	1	1	yes	characteristic
168	#10587630	C₂×C₄	1	1	yes	characteristic
169	#10587626	C₂×C₄	1	1	yes	characteristic
170	#10587625	C₂×C₄	1	1	yes	characteristic
171	#10587625	C₂×C₄	1	1	yes	characteristic
172	#10587625	C₂×C₄	1	1	yes	characteristic
173	#10587625	C₂×C₄	1	1	yes	characteristic
174	#10587624	C₂×C₄	1	1	yes	characteristic
175	#10587624	C₂×C₄	1	1	yes	characteristic
176	#10587623	C₂×C₄	1	1	yes	characteristic
177	#10587623	C₂×C₄	1	1	yes	characteristic
178	#10587622	C₂×C₄	1	1	yes	characteristic
179	#10587621	C₂×C₄	1	1	yes	characteristic
180	#10587621	C₂×C₄	1	1	yes	characteristic
181	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
182	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
183	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
184	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
185	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
186	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
188	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
189	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
190	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
196	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
197	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
198	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
199	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
201	#10587612	C₂×C₄	1	1	yes	characteristic
202	#10587612	C₂×C₄	1	1	yes	characteristic
203	#10587612	C₂×C₄	1	1	yes	characteristic
204	#10587612	C₂³	1	1	yes	characteristic
205	#10587612	C₂³	1	1	yes	characteristic
206	C₂×C₄×Dic₁₇	C₂×C₄	1	1	yes	characteristic
207	C₂×C₄×Dic₁₇	C₂×C₄	1	1	yes	characteristic
208	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
209	C₂×#63223	C₂³	1	2	yes	—
210	C₂²×#3622	C₂³	1	2	yes	—
211	C₂²×#3622	C₂³	1	2	yes	—
212	#10587593	—	4	4	no	—
213	#10587587	—	4	4	no	—
214	C₂×#63218	C₂³	1	2	yes	—
215	C₂×#63218	C₂³	1	2	yes	—
216	C₂×#63218	C₂³	1	2	yes	—
217	C₂×#63218	C₂³	1	2	yes	—
218	C₂×C₈×D₁₇	—	4	4	no	—
219	C₂×C₈×D₁₇	C₂³	1	2	yes	—
220	C₂×C₈×D₁₇	C₂³	1	2	yes	—
221	C₂×C₈×D₁₇	C₂³	1	2	yes	—
222	C₂×C₈×D₁₇	C₂³	1	2	yes	—
223	C₂×C₈×D₁₇	C₂³	1	2	yes	—
224	C₂×C₈×D₁₇	C₂³	1	2	yes	—
225	#10587584	C₂×C₄	1	1	yes	characteristic
226	#10587584	C₂×C₄	1	1	yes	characteristic
227	#10587584	C₂×C₄	1	1	yes	characteristic
228	#10587584	C₂×C₄	1	1	yes	characteristic
229	#10587583	C₂×C₄	1	1	yes	characteristic
230	#10587583	C₂×C₄	1	1	yes	characteristic
231	#10587582	C₂×C₄	1	1	yes	characteristic
232	#10587582	C₂×C₄	1	1	yes	characteristic
233	#10587582	C₂×C₄	1	1	yes	characteristic
234	#10587582	C₂×C₄	1	1	yes	characteristic
235	#10587581	C₂×C₄	1	1	yes	characteristic
236	#10587581	C₂×C₄	1	1	yes	characteristic
237	#10587580	C₂×C₄	1	1	yes	characteristic
238	#10587580	C₂×C₄	1	1	yes	characteristic
239	#10587580	C₂×C₄	1	1	yes	characteristic
240	#10587580	C₂×C₄	1	1	yes	characteristic
241	#10587576	C₂×C₄	1	1	yes	characteristic
242	#10587576	C₂×C₄	1	1	yes	characteristic
243	#10587575	C₂×C₄	1	1	yes	characteristic
244	#10587575	C₂×C₄	1	1	yes	characteristic
245	#10587575	C₂×C₄	1	1	yes	characteristic
246	#10587575	C₂×C₄	1	1	yes	characteristic
247	#10587574	C₂×C₄	1	1	yes	characteristic
248	#10587574	C₂×C₄	1	1	yes	characteristic
249	#10587572	C₂×C₄	1	1	yes	characteristic
250	#10587572	C₂×C₄	1	1	yes	characteristic
251	#10587571	C₂×C₄	1	1	yes	characteristic
252	#10587571	C₂×C₄	1	1	yes	characteristic
253	#10587571	C₂×C₄	1	1	yes	characteristic
254	#10587571	C₂×C₄	1	1	yes	characteristic
255	#10587570	C₂×C₄	1	1	yes	characteristic
256	#10587570	C₂×C₄	1	1	yes	characteristic
257	#10587570	C₂×C₄	1	1	yes	characteristic
258	#10587570	C₂×C₄	1	1	yes	characteristic
259	#10587569	C₂×C₄	1	1	yes	characteristic
260	#10587569	C₂×C₄	1	1	yes	characteristic
261	#10587569	C₂×C₄	1	1	yes	characteristic
262	#10587569	C₂×C₄	1	1	yes	characteristic
263	#10587568	C₂×C₄	1	1	yes	characteristic
264	#10587568	C₂×C₄	1	1	yes	characteristic
265	#10587565	C₂×C₄	1	1	yes	characteristic
266	#10587565	C₂×C₄	1	1	yes	characteristic
267	#10587565	C₂×C₄	1	1	yes	characteristic
268	#10587565	C₂×C₄	1	1	yes	characteristic
269	#10587564	C₂×C₄	1	1	yes	characteristic
270	#10587564	C₂×C₄	1	1	yes	characteristic
271	#10587564	C₂×C₄	1	1	yes	characteristic
272	#10587564	C₂×C₄	1	1	yes	characteristic
273	C₄×D₆₈	C₂×C₄	1	1	yes	characteristic
274	C₄×D₆₈	C₂×C₄	1	1	yes	characteristic
275	C₄×D₆₈	C₂×C₄	1	1	yes	characteristic
276	C₄×D₆₈	C₂×C₄	1	1	yes	characteristic
277	C₄×D₆₈	C₂×C₄	1	1	yes	characteristic
278	C₄×D₆₈	C₂×C₄	1	1	yes	characteristic
279	C₄×D₆₈	C₂×C₄	1	1	yes	characteristic
280	C₄×D₆₈	C₂³	1	1	yes	characteristic
281	C₄×D₆₈	C₂³	1	1	yes	characteristic
282	C₄×D₆₈	C₂³	1	1	yes	characteristic
283	#10587558	C₂×C₄	1	1	yes	characteristic
284	#10587558	C₂×C₄	1	1	yes	characteristic
285	#10587558	C₂×C₄	1	1	yes	characteristic
286	#10587558	C₂×C₄	1	1	yes	characteristic
287	#10587558	C₂×C₄	1	1	yes	characteristic
288	#10587558	C₂×C₄	1	1	yes	characteristic
289	#10587558	C₂³	1	1	yes	characteristic
290	#10587558	C₂³	1	1	yes	characteristic
291	#10587558	C₂³	1	1	yes	characteristic
292	#10587558	C₂³	1	1	yes	characteristic
293	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
294	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
295	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
296	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
297	C₄²×D₁₇	C₂³	1	1	yes	characteristic
298	C₄²×D₁₇	C₂³	1	1	yes	characteristic
299	C₄²×D₁₇	C₂³	1	1	yes	characteristic
300	C₄²×D₁₇	C₂³	1	1	yes	characteristic
301	C₄²×D₁₇	C₂³	1	1	yes	characteristic
302	C₄²×D₁₇	C₂³	1	1	yes	characteristic
303	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
304	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
305	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
306	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
307	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
308	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
309	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
310	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
311	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
312	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
313	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₇×C₄⋊C₈	C₂³	1	2	yes	—
320	C₁₇×C₂²⋊C₈	C₂³	1	2	yes	—
321	C₁₇×C₂²⋊C₈	C₂³	1	2	yes	—
322	C₁₇×C₂²⋊C₈	C₂³	1	2	yes	—
323	C₁₇×#97	C₂³	1	2	yes	—
324	C₁₇×#97	C₂³	1	2	yes	—
325	C₄×C₈×C₁₇	C₂³	1	2	yes	—
326	C₂²⋊#3622	C₂³	1	2	yes	—
327	C₂²⋊#3622	C₂³	1	2	yes	—
328	C₂²⋊#3622	C₂³	1	2	yes	—
329	#10587491	C₂³	1	2	yes	—
330	#10587491	C₂³	1	2	yes	—
331	#10587491	C₂³	1	2	yes	—
332	#10587491	C₂³	1	2	yes	—
333	#10587491	C₂³	1	2	yes	—
334	#10587491	C₂³	1	2	yes	—
335	#10587486	C₂³	1	2	yes	—
336	#10587486	C₂³	1	2	yes	—
337	#10587485	C₂³	1	2	yes	—
338	#10587485	C₂³	1	2	yes	—
339	#10587485	C₂³	1	2	yes	—
340	#10587485	C₂³	1	2	yes	—
341	#10587485	C₂³	1	2	yes	—
342	#10587485	C₂³	1	2	yes	—
343	#10587485	C₂³	1	2	yes	—
344	#10587485	C₂³	1	2	yes	—
345	#10587485	C₂³	1	2	yes	—
346	#10587485	C₂³	1	2	yes	—
347	C₈×Dic₁₇	C₂³	1	2	yes	—
348	C₈×Dic₁₇	C₂³	1	2	yes	—
349	C₈×Dic₁₇	C₂³	1	2	yes	—
350	C₈×Dic₁₇	C₂³	1	2	yes	—
351	C₄⋊#3622	C₂³	1	1	yes	characteristic
352	C₄⋊#3622	C₂³	1	1	yes	characteristic
353	C₄⋊#3622	C₂³	1	2	yes	—
354	C₄⋊#3622	C₂³	1	1	yes	characteristic
355	C₄⋊#3622	C₂³	1	2	yes	—
356	C₄⋊#3622	C₂³	1	1	yes	characteristic
357	C₄⋊#3622	C₂³	1	2	yes	—
358	#10587474	C₂³	1	2	yes	—
359	#10587474	C₂³	1	2	yes	—
360	C₄×#3622	C₂³	1	2	yes	—
361	C₂³×D₁₇	C₂²×C₄	1	1	yes	characteristic
362	#41×C₁₇	—	4	2	no	—
363	C₂×Q₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
364	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
365	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
366	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
367	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
368	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
369	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
371	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
373	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
376	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
377	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
378	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
379	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
380	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
381	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
382	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
383	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
384	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
385	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
386	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
387	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
388	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
389	#63252	—	2	4	no	—
390	#63252	—	2	4	no	—
391	#63252	—	2	2	no	—
392	#63252	—	2	2	no	—
393	#63252	—	2	2	no	—
394	#63252	—	2	2	no	—
395	#63252	—	4	2	no	—
396	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
397	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
398	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
399	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
400	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
401	C₂×C₄×D₁₇	—	2	4	no	—
402	C₂×C₄×D₁₇	—	2	2	no	—
403	C₂×C₄×D₁₇	—	2	2	no	—
404	C₂×C₄×D₁₇	—	4	2	no	—
405	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
420	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
421	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
422	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
424	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
425	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
426	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
427	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
428	M₁₆×C₁₇	—	4	2	no	—
429	C₂×C₈×C₁₇	—	4	2	no	—
430	C₂×C₈×C₁₇	—	4	2	no	—
431	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
432	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
433	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
434	C₂×C₈×C₁₇	C₂⁴	1	2	yes	—
435	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
436	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
437	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
438	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
439	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
440	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
441	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
442	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
443	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
444	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
445	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
446	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
447	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
448	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
449	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
450	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
451	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
452	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
453	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
457	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
458	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
459	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
460	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
461	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
462	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
463	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
464	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
465	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
466	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
467	#63227	C₂²×C₄	1	1	yes	characteristic
468	#63227	C₂²×C₄	1	1	yes	characteristic
469	#63227	C₂²×C₄	1	1	yes	characteristic
470	#63227	C₂²×C₄	1	1	yes	characteristic
471	#63227	C₂²×C₄	1	1	yes	characteristic
472	#63227	C₂²×C₄	1	1	yes	characteristic
473	#63227	C₂²×C₄	1	1	yes	characteristic
474	#63227	C₂²×C₄	1	1	yes	characteristic
475	#63227	C₂²×C₄	1	1	yes	characteristic
476	#63227	C₂²×C₄	1	1	yes	characteristic
477	#63227	C₂²×C₄	1	1	yes	characteristic
478	#63227	C₂²×C₄	1	1	yes	characteristic
479	#63227	C₂²×C₄	1	1	yes	characteristic
480	#63227	C₂²×C₄	1	1	yes	characteristic
481	#63227	C₂²×C₄	1	1	yes	characteristic
482	#63227	C₂²×C₄	1	1	yes	characteristic
483	#63227	C₂²×C₄	1	1	yes	characteristic
484	#63227	C₂²×C₄	1	1	yes	characteristic
485	#63227	C₂²×C₄	1	1	yes	characteristic
486	#63227	C₂²×C₄	1	1	yes	characteristic
487	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
488	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
489	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
490	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
491	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
492	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
493	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
494	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
495	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
496	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
497	#63225	C₂²×C₄	1	1	yes	characteristic
498	#63225	C₂²×C₄	1	1	yes	characteristic
499	#63225	C₂²×C₄	1	1	yes	characteristic
500	#63225	C₂²×C₄	1	1	yes	characteristic
501	#63225	C₂²×C₄	1	1	yes	characteristic
502	#63225	C₂²×C₄	1	1	yes	characteristic
503	#63225	C₂²×C₄	1	1	yes	characteristic
504	#63225	C₂²×C₄	1	1	yes	characteristic
505	#63225	C₂²×C₄	1	1	yes	characteristic
506	#63225	C₂²×C₄	1	1	yes	characteristic
507	#63225	C₂²×C₄	1	1	yes	characteristic
508	#63225	C₂²×C₄	1	1	yes	characteristic
509	#63225	C₂²×C₄	1	1	yes	characteristic
510	#63225	C₂²×C₄	1	1	yes	characteristic
511	#63225	C₂²×C₄	1	1	yes	characteristic
512	#63225	C₂²×C₄	1	1	yes	characteristic
513	#63225	C₂²×C₄	1	1	yes	characteristic
514	#63225	C₂²×C₄	1	1	yes	characteristic
515	#63225	C₂²×C₄	1	1	yes	characteristic
516	#63225	C₂²×C₄	1	1	yes	characteristic
517	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
518	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
519	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
520	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
521	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
522	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
523	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
524	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
525	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
526	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
527	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
528	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
529	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
530	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
531	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
532	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
533	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
534	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
535	#63223	—	4	2	no	—
536	C₂×#3622	—	4	2	no	—
537	C₂×#3622	—	4	2	no	—
538	C₂×#3622	C₂⁴	1	2	yes	—
539	C₂×#3622	C₂⁴	1	2	yes	—
540	C₂×#3622	C₂⁴	1	2	yes	—
541	C₂×#3622	C₂⁴	1	2	yes	—
542	#63218	—	2	4	no	—
543	#63218	—	2	4	no	—
544	#63218	—	4	2	no	—
545	#63218	—	4	2	no	—
546	C₈×D₁₇	—	2	4	no	—
547	C₈×D₁₇	—	2	4	no	—
548	C₈×D₁₇	—	4	2	no	—
549	C₈×D₁₇	—	4	2	no	—
550	C₈×D₁₇	—	4	2	no	—
551	C₈×D₁₇	—	4	2	no	—
552	#60265	—	17	1	no	maximal, Sylow
553	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
554	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
555	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
556	C₂²×D₁₇	—	2	2	no	—
557	C₂²×D₁₇	—	2	2	no	—
558	C₂²×D₁₇	—	2	2	no	—
559	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
560	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
561	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
562	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
563	Q₈×C₁₇	—	4	1	no	—
564	D₄×C₁₇	—	2	2	no	—
565	D₄×C₁₇	—	2	2	no	—
566	D₄×C₁₇	—	4	1	no	—
567	C₂×C₄×C₁₇	—	2	2	no	—
568	C₂×C₄×C₁₇	—	2	2	no	—
569	C₂×C₄×C₁₇	—	2	2	no	—
570	C₂×C₄×C₁₇	—	2	2	no	—
571	C₂×C₄×C₁₇	—	2	1	no	—
572	C₂×C₄×C₁₇	—	2	1	no	—
573	C₂×C₄×C₁₇	—	2	1	no	—
574	C₂×C₄×C₁₇	—	2	1	no	—
575	C₂×C₄×C₁₇	—	2	1	no	—
576	C₂×C₄×C₁₇	—	2	1	no	—
577	C₂×C₄×C₁₇	—	4	1	no	—
578	C₂×C₄×C₁₇	—	4	1	no	—
579	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
580	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
581	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
582	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
583	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
584	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
585	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
586	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
587	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
588	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
589	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
590	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
591	C₂²⋊D₁₇	—	2	2	no	—
592	C₂²⋊D₁₇	—	2	2	no	—
593	C₂²⋊D₁₇	—	2	2	no	—
594	C₂²⋊D₁₇	—	2	2	no	—
595	C₂²⋊D₁₇	—	2	2	no	—
596	C₂²⋊D₁₇	—	2	2	no	—
597	C₂²⋊D₁₇	—	2	2	no	—
598	C₂²⋊D₁₇	—	2	2	no	—
599	C₂²⋊D₁₇	—	2	2	no	—
600	C₂²⋊D₁₇	—	2	2	no	—
601	C₂×Dic₁₇	—	2	2	no	—
602	C₂×Dic₁₇	—	2	2	no	—
603	C₂×Dic₁₇	—	2	2	no	—
604	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
605	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
606	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
607	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
608	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
609	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
610	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
611	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
612	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
613	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
614	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
615	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
616	D₆₈	—	2	2	no	—
617	D₆₈	—	2	2	no	—
618	D₆₈	—	2	2	no	—
619	D₆₈	—	2	2	no	—
620	D₆₈	—	4	1	no	—
621	C₄×D₁₇	—	2	2	no	—
622	C₄×D₁₇	—	2	2	no	—
623	C₄×D₁₇	—	2	2	no	—
624	C₄×D₁₇	—	2	2	no	—
625	C₄×D₁₇	—	2	2	no	—
626	C₄×D₁₇	—	2	1	no	—
627	C₄×D₁₇	—	2	1	no	—
628	C₄×D₁₇	—	2	1	no	—
629	C₄×D₁₇	—	2	1	no	—
630	C₄×D₁₇	—	2	1	no	—
631	C₄×D₁₇	—	2	1	no	—
632	C₄×D₁₇	—	2	2	no	—
633	C₄×D₁₇	—	2	2	no	—
634	C₄×D₁₇	—	4	1	no	—
635	C₄×D₁₇	—	4	1	no	—
636	C₄×D₁₇	—	4	1	no	—
637	C₄×D₁₇	—	4	1	no	—
638	C₄×D₁₇	—	4	1	no	—
639	C₄×D₁₇	—	4	1	no	—
640	C₄×D₁₇	#131	1	4	yes	complemented
641	C₄×D₁₇	H(5,𝔽₂)	1	2	yes	—
642	C₄×D₁₇	2₋¹⁺⁴	1	2	yes	—
643	Dic₃₄	—	2	2	no	—
644	Dic₃₄	—	2	2	no	—
645	Dic₃₄	—	2	2	no	—
646	Dic₃₄	—	2	2	no	—
647	Dic₃₄	—	4	1	no	—
648	C₈×C₁₇	—	2	2	no	—
649	C₈×C₁₇	—	2	2	no	—
650	C₈×C₁₇	—	2	2	no	—
651	C₈×C₁₇	—	2	2	no	—
652	#3622	—	2	2	no	—
653	#3622	—	2	2	no	—
654	#3622	—	2	2	no	—
655	#3622	—	2	2	no	—
656	#3444	—	17	1	no	—
657	#2994	—	17	2	no	—
658	#2994	—	17	2	no	—
659	#2992	—	17	2	no	—
660	#2992	—	17	2	no	—
661	#2990	—	17	1	no	—
662	#2990	—	17	1	no	—
663	#2990	—	17	1	no	—
664	#2990	D₁₇	1	1	yes	characteristic, complemented
665	#2989	—	17	1	no	—
666	#2989	—	17	1	no	—
667	#2988	—	17	1	no	—
668	#2988	—	17	1	no	—
669	#2962	—	17	2	no	—
670	#2935	—	17	2	no	—
671	#2929	—	17	2	no	—
672	#2929	—	17	2	no	—
673	#2925	—	17	1	no	—
674	#2925	—	17	1	no	—
675	#2920	—	17	1	no	—
676	#2906	—	17	1	no	—
677	#2906	—	17	1	no	—
678	C₂²×C₄⋊C₈	—	17	1	no	—
679	C₂²×C₁₇	—	2	1	no	—
680	C₂²×C₁₇	—	2	1	no	—
681	C₂²×C₁₇	—	2	1	no	—
682	C₂²×C₁₇	—	2	1	no	—
683	C₂²×C₁₇	—	2	1	no	—
684	C₂²×C₁₇	—	2	1	no	—
685	C₂²×C₁₇	—	2	1	no	—
686	C₂²×C₁₇	—	2	1	no	—
687	C₂²×C₁₇	#568	1	2	yes	—
688	C₂²×C₁₇	C₂⁴×C₄	1	1	yes	characteristic
689	C₂×D₁₇	—	2	8	no	—
690	C₂×D₁₇	—	2	1	no	—
691	C₂×D₁₇	—	2	1	no	—
692	C₂×D₁₇	—	2	1	no	—
693	C₂×D₁₇	—	2	1	no	—
694	C₂×D₁₇	—	2	1	no	—
695	C₂×D₁₇	—	2	1	no	—
696	C₂×D₁₇	—	2	1	no	—
697	C₂×D₁₇	—	2	1	no	—
698	C₂×D₁₇	—	2	1	no	—
699	C₂×D₁₇	—	2	1	no	—
700	C₂×D₁₇	#520	1	2	yes	—
701	C₂×D₁₇	C₂×#131	1	2	yes	—
702	C₄×C₁₇	—	2	1	no	—
703	C₄×C₁₇	—	2	1	no	—
704	C₄×C₁₇	—	2	1	no	—
705	C₄×C₁₇	—	2	1	no	—
706	C₄×C₁₇	—	2	1	no	—
707	C₄×C₁₇	—	2	1	no	—
708	C₄×C₁₇	—	2	1	no	—
709	C₄×C₁₇	—	2	1	no	—
710	C₄×C₁₇	—	2	1	no	—
711	C₄×C₁₇	—	2	1	no	—
712	C₄×C₁₇	C₂×#131	1	2	yes	—
713	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
714	C₄×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
715	Dic₁₇	—	2	1	no	—
716	Dic₁₇	—	2	1	no	—
717	Dic₁₇	—	2	1	no	—
718	Dic₁₇	—	2	1	no	—
719	Dic₁₇	—	2	1	no	—
720	Dic₁₇	—	2	1	no	—
721	Dic₁₇	—	2	1	no	—
722	Dic₁₇	—	2	1	no	—
723	Dic₁₇	—	2	1	no	—
724	Dic₁₇	—	2	1	no	—
725	Dic₁₇	#520	1	2	yes	—
726	Dic₁₇	C₂×#131	1	2	yes	—
727	C₂×#131	—	17	2	no	—
728	C₂×#131	—	17	2	no	—
729	C₂³×C₈	—	17	2	no	—
730	#533	—	17	1	no	—
731	#533	—	17	1	no	—
732	#533	—	17	1	no	—
733	#532	—	17	1	no	—
734	#532	—	17	1	no	—
735	#532	—	17	1	no	—
736	#529	—	17	1	no	—
737	#529	—	17	1	no	—
738	#529	—	17	1	no	—
739	#529	—	17	1	no	—
740	#529	—	17	1	no	—
741	#529	—	17	1	no	—
742	#529	—	17	1	no	—
743	#529	—	17	1	no	—
744	#529	—	17	1	no	—
745	#529	—	17	1	no	—
746	#529	—	17	1	no	—
747	#529	—	17	1	no	—
748	#525	—	17	1	no	—
749	#525	—	17	1	no	—
750	#525	—	17	1	no	—
751	#525	—	17	1	no	—
752	#525	—	17	1	no	—
753	#525	—	17	1	no	—
754	C₄×#41	—	17	1	no	—
755	C₄×#41	—	17	1	no	—
756	C₄×#41	—	17	1	no	—
757	C₄×#41	—	17	1	no	—
758	C₄×#41	—	17	1	no	—
759	C₄×#41	C₂×D₁₇	1	1	yes	characteristic
760	C₂²×C₄²	—	17	1	no	—
761	#446	—	17	2	no	—
762	#446	—	17	2	no	—
763	#446	—	17	2	no	—
764	#446	—	17	2	no	—
765	#446	—	17	2	no	—
766	#446	C₂×D₁₇	1	2	yes	complemented
767	C₈×Q₈	—	17	2	no	—
768	C₈×Q₈	—	17	2	no	—
769	#436	—	17	2	no	—
770	#436	—	17	2	no	—
771	#435	—	17	2	no	—
772	#435	—	17	2	no	—
773	#435	—	17	2	no	—
774	#435	—	17	2	no	—
775	#435	—	17	2	no	—
776	#435	—	17	2	no	—
777	#435	—	17	2	no	—
778	#435	—	17	2	no	—
779	#435	—	17	2	no	—
780	#435	—	17	2	no	—
781	#435	C₂×D₁₇	1	2	yes	—
782	#435	C₂×D₁₇	1	2	yes	complemented
783	C₈×D₄	—	17	2	no	—
784	C₈×D₄	—	17	2	no	—
785	C₈×D₄	—	17	2	no	—
786	C₈×D₄	—	17	2	no	—
787	C₈×D₄	—	17	2	no	—
788	C₈×D₄	—	17	2	no	—
789	C₈×D₄	—	17	2	no	—
790	C₈×D₄	—	17	2	no	—
791	C₈×D₄	—	17	2	no	—
792	C₈×D₄	C₂×D₁₇	1	2	yes	—
793	#433	—	17	2	no	—
794	#433	—	17	2	no	—
795	#433	—	17	2	no	—
796	#433	—	17	2	no	—
797	#432	—	17	1	no	—
798	#432	—	17	1	no	—
799	#432	—	17	1	no	—
800	#432	—	17	1	no	—
801	#432	—	17	2	no	—
802	#432	C₂×D₁₇	1	1	yes	characteristic
803	#432	C₂×D₁₇	1	1	yes	characteristic, complemented
804	#431	—	17	1	no	—
805	#431	—	17	1	no	—
806	#431	—	17	1	no	—
807	#431	—	17	1	no	—
808	#431	—	17	1	no	—
809	#431	—	17	2	no	—
810	#431	C₂×D₁₇	1	1	yes	characteristic, complemented
811	#424	—	17	2	no	—
812	#424	—	17	2	no	—
813	#424	—	17	2	no	—
814	#424	—	17	2	no	—
815	#424	—	17	2	no	—
816	#424	—	17	2	no	—
817	#423	—	17	1	no	—
818	#423	—	17	1	no	—
819	#423	—	17	1	no	—
820	#423	—	17	1	no	—
821	#423	—	17	1	no	—
822	#423	C₂×D₁₇	1	1	yes	characteristic, complemented
823	C₂×C₄⋊C₈	—	17	2	no	—
824	C₂×C₄⋊C₈	—	17	1	no	—
825	C₂×C₄⋊C₈	—	17	1	no	—
826	C₂×C₄⋊C₈	—	17	1	no	—
827	C₂×C₄⋊C₈	—	17	1	no	—
828	C₂×C₄⋊C₈	—	17	2	no	—
829	C₂×C₄⋊C₈	—	17	1	no	—
830	C₂×C₄⋊C₈	—	17	1	no	—
831	C₂×C₄⋊C₈	—	17	2	no	—
832	C₂×C₄⋊C₈	—	17	1	no	—
833	C₂×C₄⋊C₈	—	17	1	no	—
834	C₂×C₄⋊C₈	C₂×D₁₇	1	1	yes	characteristic
835	C₂×C₄⋊C₈	C₂×D₁₇	1	1	yes	characteristic, complemented
836	#408	—	17	2	no	—
837	#408	—	17	2	no	—
838	#407	—	17	2	no	—
839	#405	—	17	2	no	—
840	#405	—	17	2	no	—
841	C₄×M₁₆	—	17	2	no	—
842	C₂×C₁₇	—	2	2	no	—
843	C₂×C₁₇	—	4	1	no	—
844	C₂×C₁₇	—	4	1	no	—
845	C₂×C₁₇	C₂×#520	1	1	yes	characteristic
846	C₂×C₁₇	C₂²×#131	1	1	yes	characteristic
847	C₂×C₁₇	C₂×#568	1	1	yes	characteristic
848	D₁₇	—	2	2	no	—
849	D₁₇	—	2	2	no	—
850	D₁₇	—	4	1	no	—
851	D₁₇	—	4	1	no	—
852	C₂×#41	—	17	1	no	—
853	C₂×#41	—	17	1	no	—
854	C₂×#41	—	17	1	no	—
855	C₂×#41	—	17	1	no	—
856	C₂×#41	—	17	1	no	—
857	C₂×#41	C₄×D₁₇	1	1	yes	characteristic
858	C₂³×C₄	—	17	1	no	—
859	C₂³×C₄	—	17	1	no	—
860	C₂³×C₄	—	17	1	no	—
861	#131	—	68	4	no	—
862	#131	—	68	4	no	—
863	C₂×M₁₆	—	17	2	no	—
864	C₂×M₁₆	—	17	2	no	—
865	C₂×M₁₆	—	17	2	no	—
866	C₂×M₁₆	—	17	2	no	—
867	C₂×M₁₆	—	17	2	no	—
868	C₂×M₁₆	C₂²×D₁₇	1	2	yes	—
869	C₂²×C₈	—	17	2	no	—
870	C₂²×C₈	—	17	2	no	—
871	C₂²×C₈	—	17	2	no	—
872	C₂²×C₈	—	17	2	no	—
873	C₂²×C₈	—	17	2	no	—
874	C₂²×C₈	—	17	2	no	—
875	C₂²×C₈	—	17	2	no	—
876	C₂²×C₈	—	17	2	no	—
877	C₂²×C₈	—	68	4	no	—
878	C₂²×C₈	C₂²×D₁₇	1	2	yes	—
879	C₂²×C₈	C₂²×D₁₇	1	2	yes	—
880	C₄⋊Q₈	—	17	1	no	—
881	C₄⋊Q₈	—	17	1	no	—
882	C₄⋊Q₈	—	17	1	no	—
883	#127	—	17	1	no	—
884	#126	—	17	1	no	—
885	#126	—	17	1	no	—
886	#126	—	17	1	no	—
887	#126	—	17	1	no	—
888	#126	—	17	1	no	—
889	#126	—	17	1	no	—
890	#126	—	17	1	no	—
891	#126	—	17	1	no	—
892	#125	—	17	1	no	—
893	#125	—	17	1	no	—
894	#125	—	17	1	no	—
895	#125	—	17	1	no	—
896	#125	—	17	1	no	—
897	#125	—	17	1	no	—
898	#124	—	17	1	no	—
899	#124	—	17	1	no	—
900	#124	—	17	1	no	—
901	#124	—	17	1	no	—
902	#124	—	17	1	no	—
903	#124	—	17	1	no	—
904	#123	—	17	1	no	—
905	#123	—	17	1	no	—
906	#123	—	17	1	no	—
907	#123	—	17	1	no	—
908	#123	—	17	1	no	—
909	#123	—	17	1	no	—
910	#123	—	17	1	no	—
911	#123	—	17	1	no	—
912	#123	—	17	1	no	—
913	#123	—	17	1	no	—
914	#123	—	17	1	no	—
915	#123	—	17	1	no	—
916	C₂²⋊Q₈	—	17	1	no	—
917	C₂²⋊Q₈	—	17	1	no	—
918	C₂²⋊Q₈	—	17	1	no	—
919	C₂²⋊Q₈	—	17	1	no	—
920	C₂²⋊Q₈	—	17	1	no	—
921	C₂²⋊Q₈	—	17	1	no	—
922	C₂²⋊Q₈	—	17	1	no	—
923	C₂²⋊Q₈	—	17	1	no	—
924	C₂²⋊Q₈	—	17	1	no	—
925	C₂²⋊Q₈	—	17	1	no	—
926	C₂²⋊Q₈	—	17	1	no	—
927	C₂²⋊Q₈	—	17	1	no	—
928	#121	—	17	1	no	—
929	#121	—	17	1	no	—
930	#121	—	17	1	no	—
931	#121	—	17	1	no	—
932	#121	—	17	1	no	—
933	#121	—	17	1	no	—
934	#121	—	17	1	no	—
935	#121	—	17	1	no	—
936	#121	—	17	1	no	—
937	#121	—	17	1	no	—
938	#121	—	17	1	no	—
939	#121	—	17	1	no	—
940	#120	—	17	1	no	—
941	#120	—	17	1	no	—
942	#120	—	17	1	no	—
943	#120	—	17	1	no	—
944	C₄×Q₈	—	17	1	no	—
945	C₄×Q₈	—	17	1	no	—
946	C₄×Q₈	—	17	1	no	—
947	C₄×Q₈	—	17	1	no	—
948	C₄×Q₈	—	17	1	no	—
949	C₄×Q₈	—	17	1	no	—
950	C₄×Q₈	—	17	1	no	—
951	C₄×Q₈	—	17	1	no	—
952	C₄×Q₈	—	17	1	no	—
953	C₄×Q₈	—	17	1	no	—
954	C₄×Q₈	C₄×D₁₇	1	1	yes	characteristic
955	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
956	C₄×D₄	—	17	1	no	—
957	C₄×D₄	—	17	1	no	—
958	C₄×D₄	—	17	1	no	—
959	C₄×D₄	—	17	1	no	—
960	C₄×D₄	—	17	1	no	—
961	C₄×D₄	—	17	1	no	—
962	C₄×D₄	—	17	1	no	—
963	C₄×D₄	—	17	1	no	—
964	C₄×D₄	—	17	1	no	—
965	C₄×D₄	—	17	1	no	—
966	C₄×D₄	—	17	1	no	—
967	C₄×D₄	—	17	1	no	—
968	C₄×D₄	—	17	1	no	—
969	C₄×D₄	—	17	1	no	—
970	C₄×D₄	—	17	1	no	—
971	C₄×D₄	—	17	1	no	—
972	C₄×D₄	—	17	1	no	—
973	C₄×D₄	—	17	1	no	—
974	C₄×D₄	—	17	1	no	—
975	C₄×D₄	—	17	1	no	—
976	C₄×D₄	—	17	1	no	—
977	C₄×D₄	—	17	1	no	—
978	C₄×D₄	—	17	1	no	—
979	C₄×D₄	—	17	1	no	—
980	C₄×D₄	—	17	1	no	—
981	C₄×D₄	—	17	1	no	—
982	C₄×D₄	—	17	1	no	—
983	C₄×D₄	—	17	1	no	—
984	C₄×D₄	—	17	1	no	—
985	C₄×D₄	—	17	1	no	—
986	C₄×D₄	C₄×D₁₇	1	1	yes	characteristic
987	C₄×D₄	C₄×D₁₇	1	1	yes	characteristic
988	C₄×D₄	C₄×D₁₇	1	1	yes	characteristic
989	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
990	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
991	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
992	#117	—	17	1	no	—
993	#117	—	17	1	no	—
994	#117	—	17	1	no	—
995	#117	—	17	1	no	—
996	#117	—	17	1	no	—
997	#117	—	17	1	no	—
998	#117	—	17	1	no	—
999	#117	—	17	1	no	—
1000	#117	—	17	1	no	—
1001	#117	—	17	1	no	—
1002	#117	—	17	1	no	—
1003	#117	—	17	1	no	—
1004	#117	—	17	1	no	—
1005	#117	—	17	1	no	—
1006	#117	—	17	1	no	—
1007	#117	C₄×D₁₇	1	1	yes	characteristic
1008	#117	C₄×D₁₇	1	1	yes	characteristic
1009	#117	C₄×D₁₇	1	1	yes	characteristic
1010	C₂×C₄²	—	17	1	no	—
1011	C₂×C₄²	—	17	1	no	—
1012	C₂×C₄²	—	17	1	no	—
1013	C₂×C₄²	—	17	1	no	—
1014	C₂×C₄²	—	17	1	no	—
1015	C₂×C₄²	—	17	1	no	—
1016	C₂×C₄²	—	17	1	no	—
1017	C₂×C₄²	—	17	1	no	—
1018	C₂×C₄²	—	17	1	no	—
1019	C₂×C₄²	—	17	1	no	—
1020	C₂×C₄²	—	17	1	no	—
1021	C₂×C₄²	—	17	1	no	—
1022	C₂×C₄²	—	17	1	no	—
1023	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1024	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1025	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1026	C₄⋊C₈	—	17	2	no	—
1027	C₄⋊C₈	—	17	2	no	—
1028	C₄⋊C₈	—	17	2	no	—
1029	C₄⋊C₈	—	17	2	no	—
1030	C₄⋊C₈	—	17	2	no	—
1031	C₄⋊C₈	—	17	2	no	—
1032	C₄⋊C₈	—	17	2	no	—
1033	C₄⋊C₈	—	17	2	no	—
1034	C₄⋊C₈	—	17	2	no	—
1035	C₄⋊C₈	—	17	2	no	—
1036	C₄⋊C₈	—	17	1	no	—
1037	C₄⋊C₈	—	17	1	no	—
1038	C₄⋊C₈	—	17	2	no	—
1039	C₄⋊C₈	—	17	1	no	—
1040	C₄⋊C₈	—	17	2	no	—
1041	C₄⋊C₈	—	17	2	no	—
1042	C₄⋊C₈	—	17	1	no	—
1043	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1044	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1045	C₄⋊C₈	C₂²×D₁₇	1	2	yes	—
1046	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1047	C₄⋊C₈	C₂²×D₁₇	1	2	yes	—
1048	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1049	C₄⋊C₈	C₂²×D₁₇	1	2	yes	—
1050	C₂²⋊C₈	—	17	2	no	—
1051	C₂²⋊C₈	—	17	2	no	—
1052	C₂²⋊C₈	—	17	2	no	—
1053	C₂²⋊C₈	—	17	2	no	—
1054	C₂²⋊C₈	—	17	2	no	—
1055	C₂²⋊C₈	—	17	2	no	—
1056	C₂²⋊C₈	—	17	2	no	—
1057	C₂²⋊C₈	—	17	2	no	—
1058	C₂²⋊C₈	—	17	2	no	—
1059	C₂²⋊C₈	C₂²×D₁₇	1	2	yes	—
1060	C₂²⋊C₈	C₂²×D₁₇	1	2	yes	—
1061	C₂²⋊C₈	C₂²×D₁₇	1	2	yes	—
1062	#97	—	17	2	no	—
1063	#97	—	17	2	no	—
1064	#97	—	17	2	no	—
1065	#97	—	17	2	no	—
1066	#97	C₂²×D₁₇	1	2	yes	—
1067	#97	C₂²×D₁₇	1	2	yes	—
1068	C₄×C₈	—	17	2	no	—
1069	C₄×C₈	—	17	2	no	—
1070	C₄×C₈	—	17	2	no	—
1071	C₄×C₈	—	17	2	no	—
1072	C₄×C₈	—	17	2	no	—
1073	C₄×C₈	C₂²×D₁₇	1	2	yes	—
1074	C₁₇	#60265	1	1	yes	characteristic, complemented, Sylow
1075	C₂⁴	—	17	1	no	—
1076	#41	—	4	2	no	—
1077	#41	—	34	2	no	—
1078	#41	—	34	2	no	—
1079	#41	—	34	4	no	—
1080	#41	—	34	4	no	—
1081	#41	—	34	2	no	—
1082	#41	—	34	2	no	—
1083	#41	—	68	2	no	—
1084	C₂×Q₈	—	17	1	no	—
1085	C₂×Q₈	—	17	1	no	—
1086	C₂×Q₈	—	17	1	no	—
1087	C₂×Q₈	—	17	1	no	—
1088	C₂×Q₈	—	17	1	no	—
1089	C₂×Q₈	C₂×C₄×D₁₇	1	1	yes	characteristic
1090	C₂×D₄	—	17	1	no	—
1091	C₂×D₄	—	17	1	no	—
1092	C₂×D₄	—	17	1	no	—
1093	C₂×D₄	—	17	1	no	—
1094	C₂×D₄	—	17	1	no	—
1095	C₂×D₄	—	17	1	no	—
1096	C₂×D₄	—	17	1	no	—
1097	C₂×D₄	—	17	1	no	—
1098	C₂×D₄	—	17	1	no	—
1099	C₂×D₄	—	17	1	no	—
1100	C₂×D₄	—	17	1	no	—
1101	C₂×D₄	—	17	1	no	—
1102	C₂×D₄	—	17	1	no	—
1103	C₂×D₄	—	17	1	no	—
1104	C₂×D₄	—	17	1	no	—
1105	C₂×D₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1106	C₂×D₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1107	C₂×D₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1108	C₂²×C₄	—	17	1	no	—
1109	C₂²×C₄	—	17	1	no	—
1110	C₂²×C₄	—	17	1	no	—
1111	C₂²×C₄	—	17	1	no	—
1112	C₂²×C₄	—	17	1	no	—
1113	C₂²×C₄	—	17	1	no	—
1114	C₂²×C₄	—	17	1	no	—
1115	C₂²×C₄	—	17	1	no	—
1116	C₂²×C₄	—	17	1	no	—
1117	C₂²×C₄	—	17	1	no	—
1118	C₂²×C₄	—	17	1	no	—
1119	C₂²×C₄	—	17	1	no	—
1120	C₂²×C₄	—	17	1	no	—
1121	C₂²×C₄	—	17	1	no	—
1122	C₂²×C₄	—	17	1	no	—
1123	C₂²×C₄	—	17	1	no	—
1124	C₂²×C₄	—	17	1	no	—
1125	C₂²×C₄	—	17	1	no	—
1126	C₂²×C₄	—	17	1	no	—
1127	C₂²×C₄	—	17	1	no	—
1128	C₂²×C₄	—	17	1	no	—
1129	C₂²×C₄	—	34	2	no	—
1130	C₂²×C₄	—	34	4	no	—
1131	C₂²×C₄	—	34	2	no	—
1132	C₂²×C₄	—	68	2	no	—
1133	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1134	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1135	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1136	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1137	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1138	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1142	M₁₆	—	4	2	no	—
1143	M₁₆	—	34	4	no	—
1144	M₁₆	—	34	4	no	—
1145	M₁₆	—	68	2	no	—
1146	M₁₆	—	68	2	no	—
1147	M₁₆	—	68	2	no	—
1148	C₂×C₈	—	4	2	no	—
1149	C₂×C₈	—	4	2	no	—
1150	C₂×C₈	—	17	2	no	—
1151	C₂×C₈	—	17	2	no	—
1152	C₂×C₈	—	17	2	no	—
1153	C₂×C₈	—	17	2	no	—
1154	C₂×C₈	—	34	4	no	—
1155	C₂×C₈	—	34	4	no	—
1156	C₂×C₈	—	68	2	no	—
1157	C₂×C₈	—	68	2	no	—
1158	C₂×C₈	—	68	2	no	—
1159	C₂×C₈	—	68	2	no	—
1160	C₂×C₈	—	68	2	no	—
1161	C₂×C₈	—	68	2	no	—
1162	C₂×C₈	C₂³×D₁₇	1	2	yes	—
1163	C₂×C₈	C₂³×D₁₇	1	2	yes	—
1164	C₂×C₈	C₂³×D₁₇	1	2	yes	—
1165	C₂×C₈	C₂³×D₁₇	1	2	yes	—
1166	C₄⋊C₄	—	17	1	no	—
1167	C₄⋊C₄	—	17	1	no	—
1168	C₄⋊C₄	—	17	1	no	—
1169	C₄⋊C₄	—	17	1	no	—
1170	C₄⋊C₄	—	17	1	no	—
1171	C₄⋊C₄	—	17	1	no	—
1172	C₄⋊C₄	—	17	1	no	—
1173	C₄⋊C₄	—	17	1	no	—
1174	C₄⋊C₄	—	17	1	no	—
1175	C₄⋊C₄	—	17	1	no	—
1176	C₄⋊C₄	—	17	1	no	—
1177	C₄⋊C₄	—	17	1	no	—
1178	C₄⋊C₄	—	17	1	no	—
1179	C₄⋊C₄	—	17	1	no	—
1180	C₄⋊C₄	—	17	1	no	—
1181	C₄⋊C₄	—	17	1	no	—
1182	C₄⋊C₄	—	17	1	no	—
1183	C₄⋊C₄	—	17	1	no	—
1184	C₄⋊C₄	—	17	1	no	—
1185	C₄⋊C₄	—	17	1	no	—
1186	C₄⋊C₄	—	17	1	no	—
1187	C₄⋊C₄	—	17	1	no	—
1188	C₄⋊C₄	—	17	1	no	—
1189	C₄⋊C₄	—	17	1	no	—
1190	C₄⋊C₄	—	17	1	no	—
1191	C₄⋊C₄	—	17	1	no	—
1192	C₄⋊C₄	—	17	1	no	—
1193	C₄⋊C₄	—	17	1	no	—
1194	C₄⋊C₄	—	17	1	no	—
1195	C₄⋊C₄	—	17	1	no	—
1196	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1197	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1198	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1199	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1200	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1201	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1202	C₂²⋊C₄	—	17	1	no	—
1203	C₂²⋊C₄	—	17	1	no	—
1204	C₂²⋊C₄	—	17	1	no	—
1205	C₂²⋊C₄	—	17	1	no	—
1206	C₂²⋊C₄	—	17	1	no	—
1207	C₂²⋊C₄	—	17	1	no	—
1208	C₂²⋊C₄	—	17	1	no	—
1209	C₂²⋊C₄	—	17	1	no	—
1210	C₂²⋊C₄	—	17	1	no	—
1211	C₂²⋊C₄	—	17	1	no	—
1212	C₂²⋊C₄	—	17	1	no	—
1213	C₂²⋊C₄	—	17	1	no	—
1214	C₂²⋊C₄	—	17	1	no	—
1215	C₂²⋊C₄	—	17	1	no	—
1216	C₂²⋊C₄	—	17	1	no	—
1217	C₂²⋊C₄	—	17	1	no	—
1218	C₂²⋊C₄	—	17	1	no	—
1219	C₂²⋊C₄	—	17	1	no	—
1220	C₂²⋊C₄	—	17	1	no	—
1221	C₂²⋊C₄	—	17	1	no	—
1222	C₂²⋊C₄	—	17	1	no	—
1223	C₂²⋊C₄	—	17	1	no	—
1224	C₂²⋊C₄	—	17	1	no	—
1225	C₂²⋊C₄	—	17	1	no	—
1226	C₂²⋊C₄	—	17	1	no	—
1227	C₂²⋊C₄	—	17	1	no	—
1228	C₂²⋊C₄	—	17	1	no	—
1229	C₂²⋊C₄	—	17	1	no	—
1230	C₂²⋊C₄	—	17	1	no	—
1231	C₂²⋊C₄	—	17	1	no	—
1232	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1234	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1235	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1236	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1237	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1238	C₄²	—	17	1	no	—
1239	C₄²	—	17	1	no	—
1240	C₄²	—	17	1	no	—
1241	C₄²	—	17	1	no	—
1242	C₄²	—	17	1	no	—
1243	C₄²	—	17	1	no	—
1244	C₄²	—	17	1	no	—
1245	C₄²	—	17	1	no	—
1246	C₄²	—	17	1	no	—
1247	C₄²	—	17	1	no	—
1248	C₄²	—	17	1	no	—
1249	C₄²	—	17	1	no	—
1250	C₄²	—	17	1	no	—
1251	C₄²	—	17	1	no	—
1252	C₄²	—	17	1	no	—
1253	C₄²	—	17	1	no	—
1254	C₄²	—	17	1	no	—
1255	C₄²	—	17	1	no	—
1256	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
1257	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
1258	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
1259	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
1260	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
1261	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
1262	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1263	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1264	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1265	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1266	C₂³	—	17	1	no	—
1267	C₂³	—	17	1	no	—
1268	C₂³	—	17	1	no	—
1269	C₂³	—	17	1	no	—
1270	C₂³	—	34	2	no	—
1271	C₂³	—	34	2	no	—
1272	C₂³	—	34	2	no	—
1273	C₂³	C₂²×C₄×D₁₇	1	1	yes	characteristic
1274	C₂³	C₂²×C₄×D₁₇	1	1	yes	characteristic
1275	C₂³	C₂²×C₄×D₁₇	1	1	yes	characteristic
1276	Q₈	—	4	1	no	—
1277	Q₈	—	34	2	no	—
1278	Q₈	—	34	2	no	—
1279	Q₈	—	34	2	no	—
1280	Q₈	—	34	2	no	—
1281	Q₈	—	68	1	no	—
1282	D₄	—	2	2	no	—
1283	D₄	—	2	2	no	—
1284	D₄	—	4	1	no	—
1285	D₄	—	34	2	no	—
1286	D₄	—	34	2	no	—
1287	D₄	—	34	2	no	—
1288	D₄	—	34	2	no	—
1289	D₄	—	34	2	no	—
1290	D₄	—	34	2	no	—
1291	D₄	—	34	2	no	—
1292	D₄	—	34	2	no	—
1293	D₄	—	34	2	no	—
1294	D₄	—	34	2	no	—
1295	D₄	—	34	2	no	—
1296	D₄	—	34	2	no	—
1297	D₄	—	34	2	no	—
1298	D₄	—	34	2	no	—
1299	D₄	—	68	1	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	4	1	no	—
1311	C₂×C₄	—	4	1	no	—
1312	C₂×C₄	—	17	1	no	—
1313	C₂×C₄	—	17	1	no	—
1314	C₂×C₄	—	17	4	no	—
1315	C₂×C₄	—	17	2	no	—
1316	C₂×C₄	—	17	2	no	—
1317	C₂×C₄	—	17	1	no	—
1318	C₂×C₄	—	17	1	no	—
1319	C₂×C₄	—	17	1	no	—
1320	C₂×C₄	—	17	1	no	—
1321	C₂×C₄	—	17	1	no	—
1322	C₂×C₄	—	17	1	no	—
1323	C₂×C₄	—	17	1	no	—
1324	C₂×C₄	—	17	1	no	—
1325	C₂×C₄	—	17	1	no	—
1326	C₂×C₄	—	17	1	no	—
1327	C₂×C₄	—	34	2	no	—
1328	C₂×C₄	—	34	2	no	—
1329	C₂×C₄	—	34	2	no	—
1330	C₂×C₄	—	34	2	no	—
1331	C₂×C₄	—	34	2	no	—
1332	C₂×C₄	—	34	2	no	—
1333	C₂×C₄	—	34	2	no	—
1334	C₂×C₄	—	34	2	no	—
1335	C₂×C₄	—	34	2	no	—
1336	C₂×C₄	—	34	2	no	—
1337	C₂×C₄	—	34	1	no	—
1338	C₂×C₄	—	34	1	no	—
1339	C₂×C₄	—	34	1	no	—
1340	C₂×C₄	—	34	1	no	—
1341	C₂×C₄	—	34	1	no	—
1342	C₂×C₄	—	34	1	no	—
1343	C₂×C₄	—	68	1	no	—
1344	C₂×C₄	—	68	1	no	—
1345	C₂×C₄	—	68	1	no	—
1346	C₂×C₄	—	68	1	no	—
1347	C₂×C₄	—	68	1	no	—
1348	C₂×C₄	—	68	1	no	—
1349	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1350	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1351	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1352	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1353	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1354	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1355	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1356	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1357	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1358	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1359	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1360	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1361	C₈	—	2	2	no	—
1362	C₈	—	2	2	no	—
1363	C₈	—	2	2	no	—
1364	C₈	—	2	2	no	—
1365	C₈	—	34	2	no	—
1366	C₈	—	34	2	no	—
1367	C₈	—	34	2	no	—
1368	C₈	—	34	2	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	17	2	no	—
1378	C₂²	—	17	2	no	—
1379	C₂²	—	34	8	no	—
1380	C₂²	—	34	1	no	—
1381	C₂²	—	34	1	no	—
1382	C₂²	—	34	1	no	—
1383	C₂²	—	34	1	no	—
1384	C₂²	—	34	1	no	—
1385	C₂²	—	34	1	no	—
1386	C₂²	—	34	1	no	—
1387	C₂²	—	34	1	no	—
1388	C₂²	—	34	1	no	—
1389	C₂²	—	34	1	no	—
1390	C₂²	#11763575	1	2	yes	—
1391	C₂²	C₂³×C₄×D₁₇	1	1	yes	characteristic
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	2	1	no	—
1402	C₄	—	17	2	no	—
1403	C₄	—	17	2	no	—
1404	C₄	—	34	1	no	—
1405	C₄	—	34	1	no	—
1406	C₄	—	34	1	no	—
1407	C₄	—	34	1	no	—
1408	C₄	—	34	1	no	—
1409	C₄	—	34	1	no	—
1410	C₄	—	34	1	no	—
1411	C₄	—	34	1	no	—
1412	C₄	—	34	1	no	—
1413	C₄	—	34	1	no	—
1414	C₄	#131×D₁₇	1	2	yes	—
1415	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1416	C₄	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1417	C₂	—	2	2	no	—
1418	C₂	—	4	1	no	—
1419	C₂	—	4	1	no	—
1420	C₂	—	34	2	no	—
1421	C₂	—	34	2	no	—
1422	C₂	—	68	1	no	—
1423	C₂	—	68	1	no	—
1424	C₂	D₁₇×#520	1	1	yes	characteristic
1425	C₂	C₂×#131×D₁₇	1	1	yes	characteristic
1426	C₂	C₂×#11763575	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₇
commutator, socle	C₂²×C₁₇	C₂⁴×C₄
Fitting	C₁₇×#2990	C₂
prime radical	#14542077	C₂
cosocle	C₂×C₄×C₁₇	C₂⁵
hypercenter	#2990	D₁₇
hypocenter	C₁₇	#60265
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂×C₄ ◁ #2990

Complements

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

N	H ≅ G/N	type
2. #14537941	C₂	semidirect
3. #14537937	C₂	semidirect
4. #14537922	C₂	semidirect
5. #14537919	C₂	semidirect
6. #14537911	C₂	semidirect
7. #14537909	C₂	semidirect
8. #14537906	C₂	semidirect
9. #14537903	C₂	semidirect
10. #14537898	C₂	semidirect
11. #14537893	C₂	semidirect
12. #14537892	C₂	semidirect
13. #14537729	C₂	semidirect
14. #14537525	C₂	semidirect
15. #14537475	C₂	semidirect
16. #14537473	C₂	semidirect
17. #14537451	C₂	semidirect
18. #14537445	C₂	semidirect
19. #14537414	C₂	semidirect
20. #14537353	C₂	semidirect
21. #14537349	C₂	semidirect
22. C₂×C₄⋊C₈×D₁₇	C₂	semidirect
23. C₁₇×#2990	C₂	semidirect
57. #11762940	C₂²	semidirect
58. #11762938	C₂²	semidirect
59. #11762938	C₂²	semidirect
60. #11762937	C₂²	semidirect
61. #11762937	C₂²	semidirect
62. C₈×Dic₃₄	C₂²	semidirect
63. #11762933	C₂²	semidirect
64. #11762885	C₂²	semidirect
65. #11762884	C₂²	semidirect
68. #11762882	C₂²	semidirect
70. #11762881	C₂²	semidirect
73. #11762879	C₂²	semidirect
81. C₈×C₂²⋊D₁₇	C₂²	semidirect
84. #11762872	C₂²	semidirect
85. #11762871	C₂²	semidirect
86. #11762868	C₂²	semidirect
87. #11762867	C₂²	semidirect
88. #11762867	C₂²	semidirect
90. #11762866	C₂²	semidirect
91. #11762865	C₂²	semidirect
92. #11762865	C₂²	semidirect
94. #11762862	C₂²	semidirect
97. #11762861	C₂²	semidirect
98. #11762861	C₂²	semidirect
100. #11762837	C₂²	semidirect
101. #11762835	C₂²	semidirect
104. #11762834	C₂²	semidirect
105. #11762834	C₂²	semidirect
106. #11762833	C₂²	semidirect
109. #11762831	C₂²	semidirect
110. #11762831	C₂²	semidirect
112. C₂×C₄⋊#3622	C₂²	semidirect
120. C₄⋊C₈×D₁₇	C₂²	semidirect
121. C₄⋊C₈×D₁₇	C₂²	semidirect
129. C₁₇×#446	C₂²	semidirect
131. C₁₇×#435	C₂²	semidirect
134. C₁₇×#432	C₂²	semidirect
135. C₁₇×#431	C₂²	semidirect
136. C₁₇×#423	C₂²	semidirect
138. C₂×C₁₇×C₄⋊C₈	C₂²	semidirect
640. C₄×D₁₇	#131	semidirect
664. #2990	D₁₇	semidirect
766. #446	C₂×D₁₇	semidirect
782. #435	C₂×D₁₇	semidirect
803. #432	C₂×D₁₇	semidirect
810. #431	C₂×D₁₇	semidirect
822. #423	C₂×D₁₇	semidirect
835. C₂×C₄⋊C₈	C₂×D₁₇	semidirect
1074. C₁₇	#60265	semidirect

Maximal subgroups

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

subgroup	index
#14542077	2
#14537941	2
#14537937	2
#14537922	2
#14537919	2
#14537911	2
#14537909	2
#14537906	2
#14537903	2
#14537898	2
#14537893	2
#14537892	2
#14537729	2
#14537525	2
#14537475	2
#14537473	2
#14537451	2
#14537445	2
#14537414	2
#14537353	2
#14537349	2
C₂×C₄⋊C₈×D₁₇	2
C₁₇×#2990	2
#60265	17