Subgroups — D₁₇×#3568 #17941750

Order 4352.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1224 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14543481	C₂	1	3	yes	maximal, complemented
2	#14543480	C₂	1	3	yes	maximal, complemented
3	#14543479	C₂	1	6	yes	maximal, complemented
4	#14543478	C₂	1	1	yes	maximal, characteristic, complemented
5	#14543477	C₂	1	6	yes	maximal, complemented
6	#14543476	C₂	1	6	yes	maximal, complemented
7	#14543475	C₂	1	6	yes	maximal, complemented
8	D₁₇×#563	C₂	1	3	yes	maximal, complemented
9	D₁₇×H(3,𝔽₄)	C₂	1	1	yes	maximal, characteristic, complemented
10	D₁₇×#556	C₂	1	6	yes	maximal, complemented
11	D₁₇×#551	C₂	1	6	yes	maximal, complemented
12	D₁₇×#542	C₂	1	6	yes	maximal, complemented
13	D₁₇×#538	C₂	1	6	yes	maximal, complemented
14	D₁₇×#529	C₂	1	3	yes	maximal, complemented
15	C₁₇×#3568	C₂	1	1	yes	maximal, characteristic, complemented
16	#11763563	C₂²	1	3	yes	complemented
17	#11763563	C₂²	1	3	yes	complemented
18	#11763562	C₂²	1	6	yes	complemented
19	#11763561	C₂²	1	6	yes	complemented
20	#11763561	C₂²	1	6	yes	complemented
21	#11763560	C₂²	1	6	yes	complemented
22	#11763560	C₂²	1	6	yes	complemented
23	#11763559	C₂²	1	3	yes	complemented
24	#11763558	C₂²	1	6	yes	complemented
25	#11763552	C₂²	1	6	yes	complemented
26	#11763551	C₂²	1	6	yes	complemented
27	#11763551	C₂²	1	3	yes	complemented
28	#11763533	C₂²	1	6	yes	complemented
29	#11763532	C₂²	1	6	yes	complemented
30	#11763531	C₂²	1	6	yes	complemented
31	#11763531	C₂²	1	6	yes	complemented
32	#11763530	C₂²	1	6	yes	complemented
33	#11763530	C₂²	1	6	yes	complemented
34	#11763529	C₂²	1	6	yes	complemented
35	#11763528	C₂²	1	6	yes	complemented
36	#11763528	C₂²	1	6	yes	complemented
37	#11763527	C₂²	1	6	yes	complemented
38	#11763527	C₂²	1	6	yes	complemented
39	#11763526	C₂²	1	6	yes	complemented
40	#11763526	C₂²	1	6	yes	complemented
41	#11763526	C₂²	1	6	yes	complemented
42	#11763526	C₂²	1	6	yes	complemented
43	#11763490	C₂²	1	6	yes	complemented
44	#11763489	C₂²	1	6	yes	complemented
45	#11763488	C₂²	1	6	yes	complemented
46	#11763488	C₂²	1	6	yes	complemented
47	#11763487	C₂²	1	6	yes	complemented
48	#11763486	C₂²	1	6	yes	complemented
49	#11763486	C₂²	1	6	yes	complemented
50	#11763485	C₂²	1	6	yes	complemented
51	#11763485	C₂²	1	6	yes	complemented
52	#11763484	C₂²	1	6	yes	complemented
53	#11763484	C₂²	1	6	yes	complemented
54	#11763483	C₂²	1	6	yes	complemented
55	#11763483	C₂²	1	6	yes	complemented
56	#11763482	C₂²	1	6	yes	complemented
57	#11763482	C₂²	1	6	yes	complemented
58	#11763433	C₂²	1	6	yes	complemented
59	#11763432	C₂²	1	6	yes	complemented
60	#11763431	C₂²	1	6	yes	complemented
61	#11763430	C₂²	1	6	yes	complemented
62	#11763429	C₂²	1	6	yes	complemented
63	#11763429	C₂²	1	6	yes	complemented
64	#11763428	C₂²	1	6	yes	complemented
65	#11763427	C₂²	1	6	yes	complemented
66	#11763427	C₂²	1	6	yes	complemented
67	#11763426	C₂²	1	6	yes	complemented
68	#11763425	C₂²	1	6	yes	complemented
69	#11763425	C₂²	1	6	yes	complemented
70	#11763424	C₂²	1	6	yes	complemented
71	#11763423	C₂²	1	6	yes	complemented
72	#11763423	C₂²	1	6	yes	complemented
73	#11763399	C₂²	1	6	yes	complemented
74	#11763398	C₂²	1	6	yes	complemented
75	#11763398	C₂²	1	6	yes	complemented
76	#11763397	C₂²	1	6	yes	complemented
77	#11763396	C₂²	1	6	yes	complemented
78	#11763395	C₂²	1	6	yes	complemented
79	#11763395	C₂²	1	6	yes	complemented
80	#11763394	C₂²	1	6	yes	complemented
81	#11763394	C₂²	1	6	yes	complemented
82	#11763393	C₂²	1	6	yes	complemented
83	#11763393	C₂²	1	6	yes	complemented
84	#11763392	C₂²	1	6	yes	complemented
85	#11763392	C₂²	1	6	yes	complemented
86	#11763391	C₂²	1	6	yes	complemented
87	#11763391	C₂²	1	6	yes	complemented
88	C₄⋊Q₈×D₁₇	C₂²	1	6	yes	complemented
89	#11763346	C₂²	1	3	yes	complemented
90	#11763345	C₂²	1	3	yes	complemented
91	#11763344	C₂²	1	3	yes	complemented
92	#11763343	C₂²	1	3	yes	complemented
93	#11763342	C₂²	1	6	yes	complemented
94	#11763341	C₂²	1	3	yes	complemented
95	#11763340	C₂²	1	3	yes	complemented
96	#11763339	C₂²	1	6	yes	complemented
97	#11763338	C₂²	1	3	yes	complemented
98	#11763337	C₂²	1	6	yes	complemented
99	#11763336	C₂²	1	6	yes	complemented
100	#126×D₁₇	C₂²	1	6	yes	complemented
101	#126×D₁₇	C₂²	1	6	yes	complemented
102	#126×D₁₇	C₂²	1	6	yes	complemented
103	#126×D₁₇	C₂²	1	2	yes	complemented
104	#126×D₁₇	C₂²	1	6	yes	complemented
105	#125×D₁₇	C₂²	1	3	yes	complemented
106	#124×D₁₇	C₂²	1	6	yes	—
107	#124×D₁₇	C₂²	1	3	yes	—
108	#124×D₁₇	C₂²	1	6	yes	—
109	#124×D₁₇	C₂²	1	6	yes	complemented
110	#123×D₁₇	C₂²	1	6	yes	—
111	#123×D₁₇	C₂²	1	6	yes	—
112	#123×D₁₇	C₂²	1	6	yes	complemented
113	C₂²⋊Q₈×D₁₇	C₂²	1	6	yes	complemented
114	C₂²⋊Q₈×D₁₇	C₂²	1	6	yes	complemented
115	C₂²⋊Q₈×D₁₇	C₂²	1	3	yes	complemented
116	C₂²⋊Q₈×D₁₇	C₂²	1	6	yes	complemented
117	#121×D₁₇	C₂²	1	6	yes	—
118	#121×D₁₇	C₂²	1	3	yes	—
119	#120×D₁₇	C₂²	1	6	yes	—
120	#120×D₁₇	C₂²	1	2	yes	complemented
121	C₄×Q₈×D₁₇	C₂²	1	6	yes	complemented
122	C₄×Q₈×D₁₇	C₂²	1	3	yes	complemented
123	C₄×D₄×D₁₇	C₂²	1	6	yes	—
124	C₄×D₄×D₁₇	C₂²	1	3	yes	—
125	C₄×D₄×D₁₇	C₂²	1	6	yes	complemented
126	#117×D₁₇	C₂²	1	6	yes	complemented
127	#117×D₁₇	C₂²	1	6	yes	complemented
128	C₂×C₂²⋊C₄×D₁₇	C₂²	1	6	yes	complemented
129	C₂×C₄²×D₁₇	C₂²	1	1	yes	characteristic, complemented
130	C₁₇×#563	C₂²	1	3	yes	complemented
131	C₁₇×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
132	C₁₇×#556	C₂²	1	6	yes	complemented
133	C₁₇×#551	C₂²	1	6	yes	complemented
134	C₁₇×#542	C₂²	1	6	yes	complemented
135	C₁₇×#538	C₂²	1	6	yes	complemented
136	C₁₇×#529	C₂²	1	3	yes	complemented
137	C₂⁴×D₁₇	C₂³	1	2	yes	—
138	C₂×Q₈×D₁₇	C₂³	1	6	yes	—
139	C₂×Q₈×D₁₇	C₂³	1	3	yes	—
140	C₂×D₄×D₁₇	C₂³	1	3	yes	—
141	C₂×D₄×D₁₇	C₂³	1	6	yes	—
142	C₂×D₄×D₁₇	C₂³	1	6	yes	—
143	C₂²×C₄×D₁₇	C₂³	1	3	yes	—
144	C₂²×C₄×D₁₇	C₂³	1	6	yes	—
145	C₂²×C₄×D₁₇	C₂³	1	6	yes	—
146	C₁₇×C₄⋊Q₈	C₂³	1	6	yes	complemented
147	C₁₇×#126	C₂³	1	6	yes	complemented
148	C₁₇×#126	C₂³	1	6	yes	complemented
149	C₁₇×#126	C₂³	1	6	yes	complemented
150	C₁₇×#126	C₂³	1	6	yes	complemented
151	C₁₇×#126	C₂³	1	2	yes	complemented
152	C₁₇×#125	C₂³	1	3	yes	complemented
153	C₁₇×#124	C₂³	1	6	yes	—
154	C₁₇×#124	C₂³	1	3	yes	—
155	C₁₇×#124	C₂³	1	6	yes	—
156	C₁₇×#124	C₂³	1	6	yes	complemented
157	C₁₇×#123	C₂³	1	6	yes	—
158	C₁₇×#123	C₂³	1	6	yes	—
159	C₁₇×#123	C₂³	1	6	yes	complemented
160	C₁₇×C₂²⋊Q₈	C₂³	1	6	yes	complemented
161	C₁₇×C₂²⋊Q₈	C₂³	1	6	yes	complemented
162	C₁₇×C₂²⋊Q₈	C₂³	1	3	yes	complemented
163	C₁₇×C₂²⋊Q₈	C₂³	1	6	yes	complemented
164	C₁₇×#121	C₂³	1	3	yes	—
165	C₁₇×#121	C₂³	1	6	yes	—
166	C₁₇×#120	C₂³	1	6	yes	—
167	C₁₇×#120	C₂³	1	2	yes	complemented
168	C₄×Q₈×C₁₇	C₂³	1	3	yes	complemented
169	C₄×Q₈×C₁₇	C₂³	1	6	yes	complemented
170	C₄×D₄×C₁₇	C₂³	1	3	yes	—
171	C₄×D₄×C₁₇	C₂³	1	6	yes	—
172	C₄×D₄×C₁₇	C₂³	1	6	yes	complemented
173	C₁₇×#117	C₂³	1	6	yes	complemented
174	C₁₇×#117	C₂³	1	6	yes	complemented
175	C₂×C₂²⋊C₄×C₁₇	C₂³	1	6	yes	complemented
176	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic, complemented
177	#10587639	C₂³	1	6	yes	—
178	#10587639	C₂³	1	2	yes	complemented
179	C₂×C₂²⋊Dic₁₇	C₂³	1	6	yes	complemented
180	#10587633	C₂³	1	6	yes	—
181	#10587633	C₂³	1	6	yes	—
182	#10587633	C₂³	1	3	yes	—
183	#10587633	C₂³	1	6	yes	complemented
184	#10587632	C₂³	1	6	yes	complemented
185	#10587632	C₂³	1	6	yes	complemented
186	#10587632	C₂³	1	6	yes	complemented
187	#10587632	C₂³	1	3	yes	complemented
188	Q₈×Dic₁₇	C₂³	1	3	yes	complemented
189	Q₈×Dic₁₇	C₂³	1	6	yes	complemented
190	#10587630	C₂³	1	6	yes	complemented
191	#10587630	C₂³	1	6	yes	complemented
192	#10587625	C₂³	1	6	yes	—
193	#10587625	C₂³	1	6	yes	—
194	#10587625	C₂³	1	6	yes	—
195	#10587624	C₂³	1	3	yes	—
196	#10587624	C₂³	1	6	yes	—
197	#10587623	C₂³	1	6	yes	—
198	#10587623	C₂³	1	6	yes	—
199	#10587623	C₂³	1	6	yes	—
200	#10587623	C₂³	1	6	yes	complemented
201	#10587622	C₂³	1	6	yes	—
202	#10587622	C₂³	1	6	yes	—
203	#10587622	C₂³	1	3	yes	—
204	#10587622	C₂³	1	6	yes	complemented
205	#10587621	C₂³	1	6	yes	—
206	#10587621	C₂³	1	6	yes	—
207	#10587621	C₂³	1	6	yes	complemented
208	D₄×Dic₁₇	C₂³	1	3	yes	—
209	D₄×Dic₁₇	C₂³	1	6	yes	—
210	D₄×Dic₁₇	C₂³	1	6	yes	complemented
211	#10587616	C₂³	1	3	yes	—
212	#10587616	C₂³	1	6	yes	—
213	#10587615	C₂³	1	6	yes	—
214	#10587615	C₂³	1	6	yes	—
215	#10587615	C₂³	1	6	yes	complemented
216	C₄×C₂²⋊D₁₇	C₂³	1	6	yes	—
217	C₄×C₂²⋊D₁₇	C₂³	1	6	yes	—
218	C₄×C₂²⋊D₁₇	C₂³	1	6	yes	—
219	C₄×C₂²⋊D₁₇	C₂³	1	6	yes	complemented
220	C₄×C₂²⋊D₁₇	C₂³	1	6	yes	complemented
221	C₂×#63227	C₂³	1	6	yes	complemented
222	C₂×#63227	C₂³	1	6	yes	complemented
223	#10587612	C₂³	1	6	yes	complemented
224	#10587612	C₂³	1	6	yes	complemented
225	#10587610	C₂³	1	6	yes	complemented
226	#10587610	C₂³	1	6	yes	complemented
227	#10587610	C₂³	1	6	yes	complemented
228	#10587610	C₂³	1	3	yes	complemented
229	C₂×C₄×Dic₁₇	C₂³	1	3	yes	complemented
230	#10587584	C₂³	1	6	yes	complemented
231	#10587584	C₂³	1	6	yes	complemented
232	#10587584	C₂³	1	6	yes	complemented
233	#10587584	C₂³	1	6	yes	complemented
234	#10587584	C₂³	1	6	yes	complemented
235	#10587584	C₂³	1	6	yes	complemented
236	#10587584	C₂³	1	6	yes	complemented
237	#10587584	C₂³	1	6	yes	complemented
238	#10587584	C₂³	1	6	yes	complemented
239	#10587584	C₂³	1	6	yes	complemented
240	#10587584	C₂³	1	6	yes	complemented
241	#10587584	C₂³	1	6	yes	complemented
242	#10587584	C₂³	1	6	yes	complemented
243	#10587583	C₂³	1	6	yes	complemented
244	#10587583	C₂³	1	6	yes	complemented
245	#10587583	C₂³	1	6	yes	complemented
246	#10587583	C₂³	1	3	yes	complemented
247	#10587582	C₂³	1	6	yes	complemented
248	#10587582	C₂³	1	6	yes	complemented
249	#10587582	C₂³	1	6	yes	complemented
250	#10587582	C₂³	1	6	yes	complemented
251	#10587582	C₂³	1	6	yes	complemented
252	#10587582	C₂³	1	6	yes	complemented
253	#10587582	C₂³	1	6	yes	complemented
254	#10587581	C₂³	1	3	yes	—
255	#10587581	C₂³	1	6	yes	—
256	#10587580	C₂³	1	6	yes	—
257	#10587580	C₂³	1	6	yes	—
258	#10587580	C₂³	1	6	yes	—
259	#10587580	C₂³	1	6	yes	—
260	#10587580	C₂³	1	6	yes	complemented
261	#10587580	C₂³	1	6	yes	complemented
262	#10587579	C₂³	1	3	yes	—
263	#10587579	C₂³	1	6	yes	—
264	#10587579	C₂³	1	6	yes	complemented
265	#10587578	C₂³	1	6	yes	complemented
266	#10587578	C₂³	1	6	yes	complemented
267	#10587578	C₂³	1	6	yes	complemented
268	#10587578	C₂³	1	6	yes	complemented
269	C₄⋊C₄×D₁₇	C₂³	1	6	yes	—
270	C₄⋊C₄×D₁₇	C₂³	1	6	yes	—
271	C₄⋊C₄×D₁₇	C₂³	1	6	yes	—
272	C₄⋊C₄×D₁₇	C₂³	1	6	yes	—
273	C₄⋊C₄×D₁₇	C₂³	1	3	yes	—
274	C₄⋊C₄×D₁₇	C₂³	1	6	yes	—
275	C₄⋊C₄×D₁₇	C₂³	1	3	yes	—
276	C₄⋊C₄×D₁₇	C₂³	1	6	yes	—
277	#10587576	C₂³	1	3	yes	complemented
278	#10587576	C₂³	1	3	yes	complemented
279	#10587575	C₂³	1	6	yes	complemented
280	#10587575	C₂³	1	6	yes	complemented
281	#10587574	C₂³	1	6	yes	complemented
282	#10587574	C₂³	1	6	yes	complemented
283	#10587574	C₂³	1	6	yes	complemented
284	#10587574	C₂³	1	6	yes	complemented
285	#10587573	C₂³	1	6	yes	complemented
286	#10587573	C₂³	1	6	yes	complemented
287	#10587573	C₂³	1	3	yes	complemented
288	#10587573	C₂³	1	6	yes	complemented
289	#10587573	C₂³	1	6	yes	complemented
290	#10587572	C₂³	1	6	yes	—
291	#10587572	C₂³	1	6	yes	—
292	#10587572	C₂³	1	6	yes	complemented
293	#10587571	C₂³	1	6	yes	—
294	#10587571	C₂³	1	6	yes	—
295	#10587571	C₂³	1	6	yes	—
296	#10587571	C₂³	1	6	yes	—
297	#10587571	C₂³	1	6	yes	—
298	#10587571	C₂³	1	6	yes	—
299	#10587571	C₂³	1	6	yes	—
300	#10587571	C₂³	1	6	yes	—
301	#10587571	C₂³	1	6	yes	—
302	#10587571	C₂³	1	6	yes	—
303	#10587571	C₂³	1	6	yes	complemented
304	#10587571	C₂³	1	6	yes	complemented
305	#10587571	C₂³	1	6	yes	complemented
306	#10587571	C₂³	1	6	yes	complemented
307	#10587570	C₂³	1	6	yes	—
308	#10587570	C₂³	1	6	yes	—
309	#10587570	C₂³	1	6	yes	—
310	#10587569	C₂³	1	6	yes	—
311	#10587569	C₂³	1	6	yes	—
312	#10587569	C₂³	1	6	yes	—
313	#10587569	C₂³	1	6	yes	—
314	#10587569	C₂³	1	6	yes	complemented
315	#10587569	C₂³	1	6	yes	complemented
316	#10587568	C₂³	1	6	yes	—
317	#10587568	C₂³	1	6	yes	—
318	#10587568	C₂³	1	6	yes	—
319	#10587568	C₂³	1	6	yes	complemented
320	#10587567	C₂³	1	6	yes	—
321	#10587567	C₂³	1	6	yes	—
322	#10587567	C₂³	1	6	yes	—
323	#10587567	C₂³	1	6	yes	complemented
324	#10587567	C₂³	1	6	yes	complemented
325	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
326	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
327	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
328	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
329	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
330	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
331	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
332	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
333	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	—
334	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	complemented
335	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	complemented
336	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	complemented
337	C₂²⋊C₄×D₁₇	C₂³	1	6	yes	complemented
338	#10587565	C₂³	1	6	yes	complemented
339	#10587565	C₂³	1	6	yes	complemented
340	#10587565	C₂³	1	6	yes	complemented
341	#10587565	C₂³	1	6	yes	complemented
342	#10587565	C₂³	1	6	yes	complemented
343	#10587565	C₂³	1	6	yes	complemented
344	#10587565	C₂³	1	6	yes	complemented
345	#10587565	C₂³	1	6	yes	complemented
346	#10587565	C₂³	1	6	yes	complemented
347	#10587565	C₂³	1	6	yes	complemented
348	#10587565	C₂³	1	6	yes	complemented
349	#10587565	C₂³	1	6	yes	complemented
350	#10587565	C₂³	1	6	yes	complemented
351	#10587564	C₂³	1	6	yes	complemented
352	#10587564	C₂³	1	6	yes	complemented
353	#10587564	C₂³	1	6	yes	complemented
354	#10587564	C₂³	1	6	yes	complemented
355	#10587564	C₂³	1	6	yes	complemented
356	#10587564	C₂³	1	6	yes	complemented
357	#10587564	C₂³	1	6	yes	complemented
358	#10587563	C₂³	1	6	yes	complemented
359	#10587563	C₂³	1	6	yes	complemented
360	#10587563	C₂³	1	6	yes	complemented
361	#10587563	C₂³	1	6	yes	complemented
362	#10587562	C₂³	1	6	yes	complemented
363	#10587562	C₂³	1	6	yes	complemented
364	#10587562	C₂³	1	6	yes	complemented
365	#10587562	C₂³	1	6	yes	complemented
366	#10587562	C₂³	1	2	yes	complemented
367	#10587561	C₂³	1	6	yes	—
368	#10587561	C₂³	1	6	yes	—
369	#10587561	C₂³	1	3	yes	—
370	#10587561	C₂³	1	6	yes	complemented
371	C₄×D₆₈	C₂³	1	3	yes	—
372	C₄×D₆₈	C₂³	1	6	yes	—
373	C₄×D₆₈	C₂³	1	6	yes	complemented
374	#10587558	C₂³	1	6	yes	complemented
375	#10587558	C₂³	1	6	yes	complemented
376	#10587558	C₂³	1	6	yes	complemented
377	#10587558	C₂³	1	6	yes	complemented
378	C₄²×D₁₇	C₂³	1	3	yes	—
379	C₄²×D₁₇	C₂³	1	1	yes	characteristic
380	C₄²×D₁₇	C₂³	1	6	yes	—
381	C₄²×D₁₇	C₂³	1	6	yes	—
382	C₄²×D₁₇	C₂³	1	2	yes	—
383	C₄²×D₁₇	C₂³	1	3	yes	complemented
384	C₄²×D₁₇	C₂³	1	1	yes	characteristic, complemented
385	#10587556	C₂³	1	3	yes	complemented
386	#10587555	C₂³	1	6	yes	complemented
387	C₄×Dic₃₄	C₂³	1	3	yes	complemented
388	C₄×Dic₃₄	C₂³	1	6	yes	complemented
389	C₄×Dic₃₄	C₂³	1	6	yes	complemented
390	C₄×Dic₃₄	C₂³	1	6	yes	complemented
391	C₄×Dic₃₄	C₂³	1	6	yes	complemented
392	C₂⁴×C₁₇	C₂⁴	1	2	yes	—
393	C₂³×D₁₇	—	4	12	no	—
394	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
395	C₂³×D₁₇	C₂⁴	1	6	yes	—
396	C₂³×D₁₇	C₂⁴	1	6	yes	—
397	C₂×Q₈×C₁₇	C₂⁴	1	6	yes	—
398	C₂×Q₈×C₁₇	C₂⁴	1	3	yes	—
399	C₂×D₄×C₁₇	C₂⁴	1	3	yes	—
400	C₂×D₄×C₁₇	C₂⁴	1	6	yes	—
401	C₂×D₄×C₁₇	C₂⁴	1	6	yes	—
402	C₂²×C₄×C₁₇	C₂⁴	1	6	yes	—
403	C₂²×C₄×C₁₇	C₂⁴	1	6	yes	—
404	C₂²×C₄×C₁₇	C₂⁴	1	3	yes	—
405	C₂×C₂²⋊D₁₇	C₂⁴	1	6	yes	—
406	C₂×C₂²⋊D₁₇	C₂⁴	1	6	yes	—
407	C₂×C₂²⋊D₁₇	C₂⁴	1	6	yes	—
408	C₂×C₂²⋊D₁₇	C₂⁴	1	6	yes	—
409	C₂×C₂²⋊D₁₇	C₂⁴	1	6	yes	—
410	C₂²×Dic₁₇	C₂⁴	1	6	yes	—
411	C₂²×Dic₁₇	C₂⁴	1	6	yes	—
412	C₂²×Dic₁₇	C₂⁴	1	3	yes	—
413	Q₈×D₁₇	—	4	12	no	—
414	Q₈×D₁₇	—	4	6	no	—
415	D₄×D₁₇	—	4	12	no	—
416	D₄×D₁₇	—	4	6	no	—
417	D₄×D₁₇	—	4	12	no	—
418	C₂×D₆₈	C₂⁴	1	6	yes	—
419	C₂×D₆₈	C₂⁴	1	3	yes	—
420	C₂×D₆₈	C₂⁴	1	6	yes	—
421	C₂×C₄×D₁₇	—	4	12	no	—
422	C₂×C₄×D₁₇	—	4	6	no	—
423	C₂×C₄×D₁₇	—	4	12	no	—
424	C₂×C₄×D₁₇	C₂⁴	1	3	yes	—
425	C₂×C₄×D₁₇	C₂⁴	1	6	yes	—
426	C₂×C₄×D₁₇	C₂⁴	1	3	yes	—
427	C₂×C₄×D₁₇	C₂⁴	1	6	yes	—
428	C₂×C₄×D₁₇	C₂⁴	1	6	yes	—
429	C₂×C₄×D₁₇	C₂⁴	1	3	yes	—
430	C₂×C₄×D₁₇	C₂⁴	1	3	yes	—
431	C₂×C₄×D₁₇	C₂⁴	1	6	yes	—
432	C₂×C₄×D₁₇	C₂⁴	1	6	yes	—
433	C₂×C₄×D₁₇	C₂⁴	1	6	yes	—
434	C₂×C₄×D₁₇	C₂⁴	1	6	yes	—
435	C₂×Dic₃₄	C₂⁴	1	6	yes	—
436	C₂×Dic₃₄	C₂⁴	1	6	yes	—
437	C₂×Dic₃₄	C₂⁴	1	3	yes	—
438	C₂×Dic₃₄	C₂⁴	1	6	yes	—
439	C₂×Dic₃₄	C₂⁴	1	6	yes	—
440	C₄⋊C₄×C₁₇	C₂⁴	1	3	yes	—
441	C₄⋊C₄×C₁₇	C₂⁴	1	6	yes	—
442	C₄⋊C₄×C₁₇	C₂⁴	1	6	yes	—
443	C₄⋊C₄×C₁₇	C₂⁴	1	3	yes	—
444	C₄⋊C₄×C₁₇	C₂⁴	1	6	yes	—
445	C₄⋊C₄×C₁₇	C₂⁴	1	6	yes	—
446	C₄⋊C₄×C₁₇	C₂⁴	1	6	yes	—
447	C₄⋊C₄×C₁₇	C₂⁴	1	6	yes	—
448	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
449	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
450	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
451	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
452	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
453	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
454	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
455	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
456	C₂²⋊C₄×C₁₇	C₂⁴	1	6	yes	—
457	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
458	C₄²×C₁₇	C₂⁴	1	2	yes	—
459	C₄²×C₁₇	C₂⁴	1	6	yes	—
460	C₄²×C₁₇	C₂⁴	1	6	yes	—
461	C₄²×C₁₇	C₂⁴	1	3	yes	—
462	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
463	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
464	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
465	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
466	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
467	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
468	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
469	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
470	C₂²⋊Dic₁₇	C₂⁴	1	6	yes	—
471	#63227	C₂⁴	1	6	yes	—
472	#63227	C₂⁴	1	6	yes	—
473	#63227	C₂⁴	1	6	yes	—
474	#63227	C₂⁴	1	6	yes	—
475	#63227	C₂⁴	1	6	yes	—
476	#63227	C₂⁴	1	6	yes	—
477	#63227	C₂⁴	1	6	yes	—
478	#63227	C₂⁴	1	6	yes	—
479	#63227	C₂⁴	1	6	yes	—
480	#63227	C₂⁴	1	6	yes	—
481	#63227	C₂⁴	1	6	yes	—
482	#63227	C₂⁴	1	6	yes	—
483	#63227	C₂⁴	1	6	yes	—
484	#63227	C₂⁴	1	6	yes	—
485	#63227	C₂⁴	1	6	yes	—
486	#63227	C₂⁴	1	6	yes	—
487	#63227	C₂⁴	1	6	yes	—
488	#63227	C₂⁴	1	6	yes	—
489	C₄⋊Dic₁₇	C₂⁴	1	6	yes	—
490	C₄⋊Dic₁₇	C₂⁴	1	6	yes	—
491	C₄⋊Dic₁₇	C₂⁴	1	3	yes	—
492	C₄⋊Dic₁₇	C₂⁴	1	6	yes	—
493	C₄⋊Dic₁₇	C₂⁴	1	6	yes	—
494	C₄⋊Dic₁₇	C₂⁴	1	6	yes	—
495	C₄⋊Dic₁₇	C₂⁴	1	6	yes	—
496	C₄⋊Dic₁₇	C₂⁴	1	3	yes	—
497	#63225	C₂⁴	1	6	yes	—
498	#63225	C₂⁴	1	6	yes	—
499	#63225	C₂⁴	1	6	yes	—
500	#63225	C₂⁴	1	6	yes	—
501	#63225	C₂⁴	1	6	yes	—
502	#63225	C₂⁴	1	6	yes	—
503	#63225	C₂⁴	1	6	yes	—
504	#63225	C₂⁴	1	6	yes	—
505	#63225	C₂⁴	1	6	yes	—
506	#63225	C₂⁴	1	6	yes	—
507	#63225	C₂⁴	1	6	yes	—
508	#63225	C₂⁴	1	6	yes	—
509	#63225	C₂⁴	1	6	yes	—
510	#63225	C₂⁴	1	6	yes	—
511	C₄×Dic₁₇	C₂⁴	1	3	yes	—
512	C₄×Dic₁₇	C₂⁴	1	6	yes	—
513	C₄×Dic₁₇	C₂⁴	1	6	yes	—
514	C₄×Dic₁₇	C₂⁴	1	6	yes	—
515	C₄×Dic₁₇	C₂⁴	1	6	yes	—
516	C₄×Dic₁₇	C₂⁴	1	3	yes	—
517	C₄×Dic₁₇	C₂⁴	1	3	yes	—
518	C₄×Dic₁₇	C₂⁴	1	3	yes	—
519	C₄×Dic₁₇	C₂⁴	1	6	yes	—
520	C₄×Dic₁₇	C₂⁴	1	6	yes	—
521	C₄×Dic₁₇	C₂⁴	1	6	yes	—
522	C₂×#3568	—	17	1	no	maximal, Sylow
523	C₂³×C₁₇	—	4	6	no	—
524	C₂³×C₁₇	C₂⁵	1	6	yes	—
525	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
526	C₂²×D₁₇	—	2	6	no	—
527	C₂²×D₁₇	—	2	12	no	—
528	C₂²×D₁₇	—	2	12	no	—
529	C₂²×D₁₇	—	2	12	no	—
530	C₂²×D₁₇	—	4	6	no	—
531	C₂²×D₁₇	—	4	6	no	—
532	C₂²×D₁₇	—	4	6	no	—
533	C₂²×D₁₇	—	8	16	no	—
534	C₂²×D₁₇	C₂⁵	1	1	yes	characteristic
535	C₂²×D₁₇	C₂⁵	1	6	yes	—
536	C₂²×D₁₇	C₂⁵	1	1	yes	characteristic
537	Q₈×C₁₇	—	4	3	no	—
538	Q₈×C₁₇	—	4	6	no	—
539	D₄×C₁₇	—	4	6	no	—
540	D₄×C₁₇	—	4	6	no	—
541	D₄×C₁₇	—	4	3	no	—
542	C₂×C₄×C₁₇	—	4	6	no	—
543	C₂×C₄×C₁₇	—	4	6	no	—
544	C₂×C₄×C₁₇	—	4	3	no	—
545	C₂×C₄×C₁₇	C₂⁵	1	3	yes	—
546	C₂×C₄×C₁₇	C₂⁵	1	6	yes	—
547	C₂×C₄×C₁₇	C₂⁵	1	3	yes	—
548	C₂×C₄×C₁₇	C₂⁵	1	6	yes	—
549	C₂×C₄×C₁₇	C₂⁵	1	6	yes	—
550	C₂²⋊D₁₇	—	4	6	no	—
551	C₂²⋊D₁₇	—	4	6	no	—
552	C₂²⋊D₁₇	—	4	6	no	—
553	C₂²⋊D₁₇	—	4	6	no	—
554	C₂²⋊D₁₇	—	4	6	no	—
555	C₂×Dic₁₇	—	4	6	no	—
556	C₂×Dic₁₇	—	4	6	no	—
557	C₂×Dic₁₇	—	4	3	no	—
558	C₂×Dic₁₇	C₂⁵	1	6	yes	—
559	C₂×Dic₁₇	C₂⁵	1	6	yes	—
560	C₂×Dic₁₇	C₂⁵	1	3	yes	—
561	C₂×Dic₁₇	C₂⁵	1	6	yes	—
562	C₂×Dic₁₇	C₂⁵	1	3	yes	—
563	D₆₈	—	4	6	no	—
564	D₆₈	—	4	6	no	—
565	D₆₈	—	4	3	no	—
566	C₄×D₁₇	—	2	6	no	—
567	C₄×D₁₇	—	2	12	no	—
568	C₄×D₁₇	—	2	6	no	—
569	C₄×D₁₇	—	2	12	no	—
570	C₄×D₁₇	—	2	12	no	—
571	C₄×D₁₇	—	4	6	no	—
572	C₄×D₁₇	—	4	6	no	—
573	C₄×D₁₇	—	4	6	no	—
574	C₄×D₁₇	—	4	3	no	—
575	C₄×D₁₇	—	4	6	no	—
576	C₄×D₁₇	—	4	3	no	—
577	Dic₃₄	—	4	3	no	—
578	Dic₃₄	—	4	6	no	—
579	Dic₃₄	—	4	6	no	—
580	Dic₃₄	—	4	6	no	—
581	Dic₃₄	—	4	6	no	—
582	#3568	—	17	3	no	—
583	#3568	—	17	1	no	—
584	#3568	—	17	6	no	—
585	#3568	—	17	6	no	—
586	#3568	—	17	6	no	—
587	#3568	—	17	6	no	—
588	#3568	—	17	3	no	—
589	#3568	D₁₇	1	1	yes	characteristic, direct product factor
590	C₂×#563	—	17	3	no	—
591	C₂×H(3,𝔽₄)	—	17	1	no	—
592	C₂×#556	—	17	6	no	—
593	C₂×#551	—	17	6	no	—
594	C₂×#542	—	17	6	no	—
595	C₂×#538	—	17	6	no	—
596	C₂×#529	—	17	3	no	—
597	C₂²×C₁₇	—	2	3	no	—
598	C₂²×C₁₇	—	2	6	no	—
599	C₂²×C₁₇	—	2	6	no	—
600	C₂²×C₁₇	—	2	6	no	—
601	C₂²×C₁₇	—	8	4	no	—
602	C₂²×C₁₇	C₂⁶	1	1	yes	characteristic
603	C₂×D₁₇	—	2	3	no	—
604	C₂×D₁₇	—	2	6	no	—
605	C₂×D₁₇	—	2	6	no	—
606	C₂×D₁₇	—	2	6	no	—
607	C₂×D₁₇	—	4	4	no	—
608	C₂×D₁₇	—	4	24	no	—
609	C₂×D₁₇	—	8	12	no	—
610	C₂×D₁₇	#585	1	6	yes	—
611	C₄×C₁₇	—	2	6	no	—
612	C₄×C₁₇	—	2	6	no	—
613	C₄×C₁₇	—	2	3	no	—
614	C₄×C₁₇	—	2	6	no	—
615	C₄×C₁₇	—	2	3	no	—
616	Dic₁₇	—	2	6	no	—
617	Dic₁₇	—	2	6	no	—
618	Dic₁₇	—	2	3	no	—
619	Dic₁₇	—	2	6	no	—
620	Dic₁₇	—	2	3	no	—
621	#563	—	17	6	no	—
622	#563	—	17	6	no	—
623	#563	—	17	6	no	—
624	#563	—	17	3	no	—
625	#563	—	17	3	no	—
626	#563	—	17	3	no	—
627	#563	—	17	6	no	—
628	#563	—	17	6	no	—
629	#563	—	17	6	no	—
630	#563	C₂×D₁₇	1	3	yes	complemented
631	H(3,𝔽₄)	—	17	6	no	—
632	H(3,𝔽₄)	—	17	3	no	—
633	H(3,𝔽₄)	—	17	6	no	—
634	H(3,𝔽₄)	C₂×D₁₇	1	1	yes	characteristic, complemented
635	#556	—	17	6	no	—
636	#556	—	17	6	no	—
637	#556	—	17	6	no	—
638	#556	—	17	6	no	—
639	#556	—	17	6	no	—
640	#556	—	17	6	no	—
641	#556	—	17	6	no	—
642	#556	—	17	6	no	—
643	#556	—	17	6	no	—
644	#556	—	17	6	no	—
645	#556	—	17	6	no	—
646	#556	—	17	6	no	—
647	#556	—	17	6	no	—
648	#556	—	17	6	no	—
649	#556	—	17	6	no	—
650	#556	C₂×D₁₇	1	6	yes	complemented
651	#551	—	17	6	no	—
652	#551	—	17	6	no	—
653	#551	—	17	6	no	—
654	#551	—	17	6	no	—
655	#551	—	17	6	no	—
656	#551	—	17	6	no	—
657	#551	—	17	6	no	—
658	#551	—	17	6	no	—
659	#551	—	17	6	no	—
660	#551	—	17	6	no	—
661	#551	—	17	6	no	—
662	#551	—	17	6	no	—
663	#551	—	17	6	no	—
664	#551	—	17	6	no	—
665	#551	—	17	6	no	—
666	#551	C₂×D₁₇	1	6	yes	complemented
667	#542	—	17	6	no	—
668	#542	—	17	6	no	—
669	#542	—	17	6	no	—
670	#542	—	17	6	no	—
671	#542	—	17	6	no	—
672	#542	—	17	6	no	—
673	#542	—	17	6	no	—
674	#542	—	17	6	no	—
675	#542	—	17	6	no	—
676	#542	—	17	6	no	—
677	#542	—	17	6	no	—
678	#542	—	17	6	no	—
679	#542	—	17	6	no	—
680	#542	—	17	6	no	—
681	#542	—	17	6	no	—
682	#542	C₂×D₁₇	1	6	yes	complemented
683	#538	—	17	6	no	—
684	#538	—	17	6	no	—
685	#538	—	17	6	no	—
686	#538	—	17	6	no	—
687	#538	—	17	6	no	—
688	#538	—	17	6	no	—
689	#538	—	17	6	no	—
690	#538	—	17	6	no	—
691	#538	—	17	6	no	—
692	#538	—	17	6	no	—
693	#538	—	17	6	no	—
694	#538	—	17	6	no	—
695	#538	—	17	6	no	—
696	#538	—	17	6	no	—
697	#538	—	17	6	no	—
698	#538	C₂×D₁₇	1	6	yes	complemented
699	C₂×C₄⋊Q₈	—	17	6	no	—
700	#529	—	17	6	no	—
701	#529	—	17	3	no	—
702	#529	—	17	3	no	—
703	#529	—	17	6	no	—
704	#529	—	17	3	no	—
705	#529	—	17	3	no	—
706	#529	—	17	3	no	—
707	#529	—	17	3	no	—
708	#529	—	17	6	no	—
709	#529	—	17	6	no	—
710	#529	—	17	3	no	—
711	#529	C₂×D₁₇	1	3	yes	complemented
712	C₂×#126	—	17	6	no	—
713	C₂×#126	—	17	6	no	—
714	C₂×#126	—	17	6	no	—
715	C₂×#126	—	17	2	no	—
716	C₂×#126	—	17	6	no	—
717	C₂×#125	—	17	3	no	—
718	C₂×#124	—	17	3	no	—
719	C₂×#124	—	17	6	no	—
720	C₂×#124	—	17	6	no	—
721	C₂×#124	—	17	6	no	—
722	C₂×#123	—	17	6	no	—
723	C₂×#123	—	17	6	no	—
724	C₂×#123	—	17	6	no	—
725	C₂×C₂²⋊Q₈	—	17	3	no	—
726	C₂×C₂²⋊Q₈	—	17	6	no	—
727	C₂×C₂²⋊Q₈	—	17	6	no	—
728	C₂×C₂²⋊Q₈	—	17	6	no	—
729	C₂×#121	—	17	3	no	—
730	C₂×#121	—	17	6	no	—
731	C₂×#120	—	17	6	no	—
732	C₂×#120	—	17	2	no	—
733	C₂×C₄×Q₈	—	17	3	no	—
734	C₂×C₄×Q₈	—	17	6	no	—
735	C₂×C₄×D₄	—	17	3	no	—
736	C₂×C₄×D₄	—	17	6	no	—
737	C₂×C₄×D₄	—	17	6	no	—
738	C₂×#117	—	17	6	no	—
739	C₂×#117	—	17	6	no	—
740	C₂²×C₂²⋊C₄	—	17	6	no	—
741	C₂²×C₄²	—	17	1	no	—
742	C₂×C₁₇	—	4	6	no	—
743	C₂×C₁₇	—	4	1	no	—
744	C₂×C₁₇	C₂×#585	1	3	yes	—
745	D₁₇	—	4	1	no	—
746	D₁₇	—	4	6	no	—
747	D₁₇	#3568	1	4	yes	direct product factor
748	C₂⁵	—	17	2	no	—
749	C₂²×Q₈	—	17	6	no	—
750	C₂²×Q₈	—	17	3	no	—
751	C₂²×D₄	—	17	3	no	—
752	C₂²×D₄	—	17	6	no	—
753	C₂²×D₄	—	17	6	no	—
754	C₂³×C₄	—	17	6	no	—
755	C₂³×C₄	—	17	6	no	—
756	C₂³×C₄	—	17	3	no	—
757	C₄⋊Q₈	—	17	6	no	—
758	C₄⋊Q₈	—	17	6	no	—
759	C₄⋊Q₈	—	17	6	no	—
760	C₄⋊Q₈	—	17	6	no	—
761	C₄⋊Q₈	—	17	6	no	—
762	C₄⋊Q₈	—	17	6	no	—
763	C₄⋊Q₈	—	17	6	no	—
764	C₄⋊Q₈	C₂²×D₁₇	1	6	yes	complemented
765	#126	—	17	6	no	—
766	#126	—	17	6	no	—
767	#126	—	17	6	no	—
768	#126	—	17	6	no	—
769	#126	—	17	6	no	—
770	#126	—	17	6	no	—
771	#126	—	17	6	no	—
772	#126	—	17	6	no	—
773	#126	—	17	6	no	—
774	#126	—	17	6	no	—
775	#126	—	17	6	no	—
776	#126	—	17	6	no	—
777	#126	—	17	6	no	—
778	#126	—	17	6	no	—
779	#126	—	17	6	no	—
780	#126	—	17	6	no	—
781	#126	—	17	6	no	—
782	#126	—	17	6	no	—
783	#126	—	17	6	no	—
784	#126	—	17	6	no	—
785	#126	—	17	6	no	—
786	#126	—	17	6	no	—
787	#126	—	17	6	no	—
788	#126	—	17	6	no	—
789	#126	—	17	6	no	—
790	#126	—	17	6	no	—
791	#126	—	17	6	no	—
792	#126	—	17	6	no	—
793	#126	—	17	6	no	—
794	#126	—	17	2	no	—
795	#126	—	17	6	no	—
796	#126	C₂²×D₁₇	1	6	yes	complemented
797	#126	C₂²×D₁₇	1	6	yes	complemented
798	#126	C₂²×D₁₇	1	6	yes	complemented
799	#126	C₂²×D₁₇	1	2	yes	complemented
800	#126	C₂²×D₁₇	1	6	yes	complemented
801	#125	—	17	6	no	—
802	#125	—	17	6	no	—
803	#125	—	17	3	no	—
804	#125	—	17	3	no	—
805	#125	—	17	3	no	—
806	#125	C₂²×D₁₇	1	3	yes	complemented
807	#124	—	17	3	no	—
808	#124	—	17	6	no	—
809	#124	—	17	6	no	—
810	#124	—	17	6	no	—
811	#124	—	17	3	no	—
812	#124	—	17	6	no	—
813	#124	—	17	6	no	—
814	#124	—	17	6	no	—
815	#124	—	17	6	no	—
816	#124	—	17	6	no	—
817	#124	—	17	6	no	—
818	#124	—	17	6	no	—
819	#124	—	17	6	no	—
820	#124	—	17	6	no	—
821	#124	—	17	6	no	—
822	#124	—	17	6	no	—
823	#124	—	17	6	no	—
824	#124	—	17	6	no	—
825	#124	—	17	6	no	—
826	#124	—	17	6	no	—
827	#124	—	17	6	no	—
828	#124	—	17	6	no	—
829	#124	—	17	3	no	—
830	#124	—	17	6	no	—
831	#124	—	17	6	no	—
832	#124	—	17	6	no	—
833	#124	C₂²×D₁₇	1	3	yes	—
834	#124	C₂²×D₁₇	1	6	yes	—
835	#124	C₂²×D₁₇	1	6	yes	—
836	#124	C₂²×D₁₇	1	6	yes	complemented
837	#123	—	17	6	no	—
838	#123	—	17	6	no	—
839	#123	—	17	6	no	—
840	#123	—	17	6	no	—
841	#123	—	17	6	no	—
842	#123	—	17	6	no	—
843	#123	—	17	6	no	—
844	#123	—	17	6	no	—
845	#123	—	17	6	no	—
846	#123	—	17	6	no	—
847	#123	—	17	6	no	—
848	#123	—	17	6	no	—
849	#123	—	17	6	no	—
850	#123	—	17	6	no	—
851	#123	—	17	6	no	—
852	#123	—	17	6	no	—
853	#123	—	17	6	no	—
854	#123	—	17	6	no	—
855	#123	—	17	6	no	—
856	#123	—	17	6	no	—
857	#123	—	17	6	no	—
858	#123	C₂²×D₁₇	1	6	yes	—
859	#123	C₂²×D₁₇	1	6	yes	—
860	#123	C₂²×D₁₇	1	6	yes	complemented
861	C₂²⋊Q₈	—	17	3	no	—
862	C₂²⋊Q₈	—	17	6	no	—
863	C₂²⋊Q₈	—	17	6	no	—
864	C₂²⋊Q₈	—	17	6	no	—
865	C₂²⋊Q₈	—	17	3	no	—
866	C₂²⋊Q₈	—	17	6	no	—
867	C₂²⋊Q₈	—	17	6	no	—
868	C₂²⋊Q₈	—	17	6	no	—
869	C₂²⋊Q₈	—	17	6	no	—
870	C₂²⋊Q₈	—	17	3	no	—
871	C₂²⋊Q₈	—	17	6	no	—
872	C₂²⋊Q₈	—	17	6	no	—
873	C₂²⋊Q₈	—	17	6	no	—
874	C₂²⋊Q₈	—	17	6	no	—
875	C₂²⋊Q₈	—	17	6	no	—
876	C₂²⋊Q₈	—	17	6	no	—
877	C₂²⋊Q₈	—	17	6	no	—
878	C₂²⋊Q₈	—	17	6	no	—
879	C₂²⋊Q₈	—	17	6	no	—
880	C₂²⋊Q₈	—	17	6	no	—
881	C₂²⋊Q₈	—	17	6	no	—
882	C₂²⋊Q₈	—	17	6	no	—
883	C₂²⋊Q₈	—	17	6	no	—
884	C₂²⋊Q₈	—	17	6	no	—
885	C₂²⋊Q₈	—	17	6	no	—
886	C₂²⋊Q₈	—	17	6	no	—
887	C₂²⋊Q₈	C₂²×D₁₇	1	3	yes	complemented
888	C₂²⋊Q₈	C₂²×D₁₇	1	6	yes	complemented
889	C₂²⋊Q₈	C₂²×D₁₇	1	6	yes	complemented
890	C₂²⋊Q₈	C₂²×D₁₇	1	6	yes	complemented
891	#121	—	17	3	no	—
892	#121	—	17	6	no	—
893	#121	—	17	6	no	—
894	#121	—	17	6	no	—
895	#121	—	17	6	no	—
896	#121	—	17	3	no	—
897	#121	—	17	6	no	—
898	#121	—	17	3	no	—
899	#121	—	17	6	no	—
900	#121	—	17	6	no	—
901	#121	—	17	6	no	—
902	#121	—	17	6	no	—
903	#121	C₂²×D₁₇	1	3	yes	—
904	#121	C₂²×D₁₇	1	6	yes	—
905	#120	—	17	2	no	—
906	#120	—	17	6	no	—
907	#120	—	17	6	no	—
908	#120	—	17	6	no	—
909	#120	—	17	6	no	—
910	#120	—	17	6	no	—
911	#120	—	17	6	no	—
912	#120	—	17	6	no	—
913	#120	—	17	6	no	—
914	#120	—	17	6	no	—
915	#120	C₂²×D₁₇	1	6	yes	—
916	#120	C₂²×D₁₇	1	2	yes	complemented
917	C₄×Q₈	—	17	3	no	—
918	C₄×Q₈	—	17	6	no	—
919	C₄×Q₈	—	17	3	no	—
920	C₄×Q₈	—	17	6	no	—
921	C₄×Q₈	—	17	6	no	—
922	C₄×Q₈	—	17	6	no	—
923	C₄×Q₈	—	17	6	no	—
924	C₄×Q₈	—	17	6	no	—
925	C₄×Q₈	—	17	3	no	—
926	C₄×Q₈	—	17	6	no	—
927	C₄×Q₈	—	17	6	no	—
928	C₄×Q₈	—	17	6	no	—
929	C₄×Q₈	C₂²×D₁₇	1	3	yes	complemented
930	C₄×Q₈	C₂²×D₁₇	1	6	yes	complemented
931	C₄×D₄	—	17	6	no	—
932	C₄×D₄	—	17	3	no	—
933	C₄×D₄	—	17	6	no	—
934	C₄×D₄	—	17	6	no	—
935	C₄×D₄	—	17	6	no	—
936	C₄×D₄	—	17	6	no	—
937	C₄×D₄	—	17	6	no	—
938	C₄×D₄	—	17	6	no	—
939	C₄×D₄	—	17	6	no	—
940	C₄×D₄	—	17	3	no	—
941	C₄×D₄	—	17	6	no	—
942	C₄×D₄	—	17	6	no	—
943	C₄×D₄	—	17	6	no	—
944	C₄×D₄	—	17	6	no	—
945	C₄×D₄	—	17	6	no	—
946	C₄×D₄	—	17	6	no	—
947	C₄×D₄	—	17	6	no	—
948	C₄×D₄	—	17	3	no	—
949	C₄×D₄	—	17	6	no	—
950	C₄×D₄	C₂²×D₁₇	1	3	yes	—
951	C₄×D₄	C₂²×D₁₇	1	6	yes	—
952	C₄×D₄	C₂²×D₁₇	1	6	yes	complemented
953	#117	—	17	6	no	—
954	#117	—	17	6	no	—
955	#117	—	17	6	no	—
956	#117	—	17	6	no	—
957	#117	—	17	6	no	—
958	#117	—	17	6	no	—
959	#117	—	17	6	no	—
960	#117	—	17	6	no	—
961	#117	—	17	6	no	—
962	#117	—	17	6	no	—
963	#117	—	17	6	no	—
964	#117	—	17	6	no	—
965	#117	—	17	6	no	—
966	#117	—	17	6	no	—
967	#117	C₂²×D₁₇	1	6	yes	complemented
968	#117	C₂²×D₁₇	1	6	yes	complemented
969	C₂×C₄⋊C₄	—	17	6	no	—
970	C₂×C₄⋊C₄	—	17	6	no	—
971	C₂×C₄⋊C₄	—	17	6	no	—
972	C₂×C₄⋊C₄	—	17	6	no	—
973	C₂×C₄⋊C₄	—	17	3	no	—
974	C₂×C₄⋊C₄	—	17	6	no	—
975	C₂×C₄⋊C₄	—	17	3	no	—
976	C₂×C₄⋊C₄	—	17	6	no	—
977	C₂×C₂²⋊C₄	—	17	6	no	—
978	C₂×C₂²⋊C₄	—	17	6	no	—
979	C₂×C₂²⋊C₄	—	17	6	no	—
980	C₂×C₂²⋊C₄	—	17	6	no	—
981	C₂×C₂²⋊C₄	—	17	6	no	—
982	C₂×C₂²⋊C₄	—	17	6	no	—
983	C₂×C₂²⋊C₄	—	17	6	no	—
984	C₂×C₂²⋊C₄	—	17	6	no	—
985	C₂×C₂²⋊C₄	—	17	6	no	—
986	C₂×C₂²⋊C₄	—	17	6	no	—
987	C₂×C₂²⋊C₄	—	17	6	no	—
988	C₂×C₂²⋊C₄	—	17	6	no	—
989	C₂×C₂²⋊C₄	—	17	6	no	—
990	C₂×C₂²⋊C₄	—	17	6	no	—
991	C₂×C₂²⋊C₄	—	17	6	no	—
992	C₂×C₂²⋊C₄	—	17	6	no	—
993	C₂×C₂²⋊C₄	C₂²×D₁₇	1	6	yes	complemented
994	C₂×C₄²	—	17	3	no	—
995	C₂×C₄²	—	17	6	no	—
996	C₂×C₄²	—	17	3	no	—
997	C₂×C₄²	—	17	6	no	—
998	C₂×C₄²	—	17	2	no	—
999	C₂×C₄²	—	17	1	no	—
1000	C₂×C₄²	—	17	1	no	—
1001	C₂×C₄²	—	17	3	no	—
1002	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic, complemented
1003	C₁₇	C₂×#3568	1	1	yes	characteristic, complemented, Sylow
1004	C₂⁴	—	17	6	no	—
1005	C₂⁴	—	17	1	no	—
1006	C₂⁴	—	17	6	no	—
1007	C₂⁴	—	68	12	no	—
1008	C₂⁴	C₂³×D₁₇	1	2	yes	—
1009	C₂×Q₈	—	17	6	no	—
1010	C₂×Q₈	—	17	6	no	—
1011	C₂×Q₈	—	17	6	no	—
1012	C₂×Q₈	—	17	3	no	—
1013	C₂×Q₈	—	17	6	no	—
1014	C₂×Q₈	—	68	12	no	—
1015	C₂×Q₈	—	68	6	no	—
1016	C₂×Q₈	C₂³×D₁₇	1	6	yes	—
1017	C₂×Q₈	C₂³×D₁₇	1	3	yes	—
1018	C₂×D₄	—	17	6	no	—
1019	C₂×D₄	—	17	6	no	—
1020	C₂×D₄	—	17	6	no	—
1021	C₂×D₄	—	17	6	no	—
1022	C₂×D₄	—	17	6	no	—
1023	C₂×D₄	—	17	3	no	—
1024	C₂×D₄	—	17	6	no	—
1025	C₂×D₄	—	17	6	no	—
1026	C₂×D₄	—	68	12	no	—
1027	C₂×D₄	—	68	6	no	—
1028	C₂×D₄	—	68	12	no	—
1029	C₂×D₄	C₂³×D₁₇	1	3	yes	—
1030	C₂×D₄	C₂³×D₁₇	1	6	yes	—
1031	C₂×D₄	C₂³×D₁₇	1	6	yes	—
1032	C₂²×C₄	—	17	3	no	—
1033	C₂²×C₄	—	17	6	no	—
1034	C₂²×C₄	—	17	6	no	—
1035	C₂²×C₄	—	17	3	no	—
1036	C₂²×C₄	—	17	6	no	—
1037	C₂²×C₄	—	17	6	no	—
1038	C₂²×C₄	—	17	3	no	—
1039	C₂²×C₄	—	17	6	no	—
1040	C₂²×C₄	—	17	3	no	—
1041	C₂²×C₄	—	17	3	no	—
1042	C₂²×C₄	—	17	6	no	—
1043	C₂²×C₄	—	17	6	no	—
1044	C₂²×C₄	—	17	6	no	—
1045	C₂²×C₄	—	17	6	no	—
1046	C₂²×C₄	—	68	12	no	—
1047	C₂²×C₄	—	68	6	no	—
1048	C₂²×C₄	—	68	12	no	—
1049	C₂²×C₄	C₂³×D₁₇	1	3	yes	—
1050	C₂²×C₄	C₂³×D₁₇	1	6	yes	—
1051	C₂²×C₄	C₂³×D₁₇	1	6	yes	—
1052	C₄⋊C₄	—	17	6	no	—
1053	C₄⋊C₄	—	17	6	no	—
1054	C₄⋊C₄	—	17	6	no	—
1055	C₄⋊C₄	—	17	6	no	—
1056	C₄⋊C₄	—	17	6	no	—
1057	C₄⋊C₄	—	17	6	no	—
1058	C₄⋊C₄	—	17	6	no	—
1059	C₄⋊C₄	—	17	6	no	—
1060	C₄⋊C₄	—	17	6	no	—
1061	C₄⋊C₄	—	17	6	no	—
1062	C₄⋊C₄	—	17	6	no	—
1063	C₄⋊C₄	—	17	6	no	—
1064	C₄⋊C₄	—	17	6	no	—
1065	C₄⋊C₄	—	17	3	no	—
1066	C₄⋊C₄	—	17	6	no	—
1067	C₄⋊C₄	—	17	6	no	—
1068	C₄⋊C₄	—	17	6	no	—
1069	C₄⋊C₄	—	17	6	no	—
1070	C₄⋊C₄	—	17	3	no	—
1071	C₄⋊C₄	—	17	6	no	—
1072	C₄⋊C₄	—	17	6	no	—
1073	C₄⋊C₄	—	17	6	no	—
1074	C₄⋊C₄	C₂³×D₁₇	1	6	yes	—
1075	C₄⋊C₄	C₂³×D₁₇	1	6	yes	—
1076	C₄⋊C₄	C₂³×D₁₇	1	6	yes	—
1077	C₄⋊C₄	C₂³×D₁₇	1	6	yes	—
1078	C₄⋊C₄	C₂³×D₁₇	1	3	yes	—
1079	C₄⋊C₄	C₂³×D₁₇	1	6	yes	—
1080	C₄⋊C₄	C₂³×D₁₇	1	3	yes	—
1081	C₄⋊C₄	C₂³×D₁₇	1	6	yes	—
1082	C₂²⋊C₄	—	17	6	no	—
1083	C₂²⋊C₄	—	17	6	no	—
1084	C₂²⋊C₄	—	17	6	no	—
1085	C₂²⋊C₄	—	17	6	no	—
1086	C₂²⋊C₄	—	17	6	no	—
1087	C₂²⋊C₄	—	17	6	no	—
1088	C₂²⋊C₄	—	17	6	no	—
1089	C₂²⋊C₄	—	17	6	no	—
1090	C₂²⋊C₄	—	17	6	no	—
1091	C₂²⋊C₄	—	17	6	no	—
1092	C₂²⋊C₄	—	17	6	no	—
1093	C₂²⋊C₄	—	17	6	no	—
1094	C₂²⋊C₄	—	17	6	no	—
1095	C₂²⋊C₄	—	17	6	no	—
1096	C₂²⋊C₄	—	17	6	no	—
1097	C₂²⋊C₄	—	17	6	no	—
1098	C₂²⋊C₄	—	17	6	no	—
1099	C₂²⋊C₄	—	17	6	no	—
1100	C₂²⋊C₄	—	17	6	no	—
1101	C₂²⋊C₄	—	17	6	no	—
1102	C₂²⋊C₄	—	17	6	no	—
1103	C₂²⋊C₄	—	17	6	no	—
1104	C₂²⋊C₄	—	17	6	no	—
1105	C₂²⋊C₄	—	17	6	no	—
1106	C₂²⋊C₄	—	17	6	no	—
1107	C₂²⋊C₄	—	17	6	no	—
1108	C₂²⋊C₄	—	17	6	no	—
1109	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1110	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1111	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1112	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1113	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1114	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1115	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1116	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1117	C₂²⋊C₄	C₂³×D₁₇	1	6	yes	—
1118	C₄²	—	17	3	no	—
1119	C₄²	—	17	3	no	—
1120	C₄²	—	17	3	no	—
1121	C₄²	—	17	3	no	—
1122	C₄²	—	17	6	no	—
1123	C₄²	—	17	6	no	—
1124	C₄²	—	17	6	no	—
1125	C₄²	—	17	6	no	—
1126	C₄²	—	17	6	no	—
1127	C₄²	—	17	6	no	—
1128	C₄²	—	17	6	no	—
1129	C₄²	C₂³×D₁₇	1	3	yes	—
1130	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1131	C₄²	C₂³×D₁₇	1	6	yes	—
1132	C₄²	C₂³×D₁₇	1	6	yes	—
1133	C₄²	C₂³×D₁₇	1	2	yes	—
1134	C₂³	—	4	6	no	—
1135	C₂³	—	17	1	no	—
1136	C₂³	—	17	6	no	—
1137	C₂³	—	17	1	no	—
1138	C₂³	—	34	6	no	—
1139	C₂³	—	34	12	no	—
1140	C₂³	—	34	12	no	—
1141	C₂³	—	34	12	no	—
1142	C₂³	—	68	6	no	—
1143	C₂³	—	68	6	no	—
1144	C₂³	—	68	6	no	—
1145	C₂³	—	136	16	no	—
1146	C₂³	C₂⁴×D₁₇	1	6	yes	—
1147	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1148	Q₈	—	4	6	no	—
1149	Q₈	—	4	3	no	—
1150	Q₈	—	68	6	no	—
1151	Q₈	—	68	6	no	—
1152	Q₈	—	68	3	no	—
1153	Q₈	—	68	6	no	—
1154	Q₈	—	68	6	no	—
1155	D₄	—	4	6	no	—
1156	D₄	—	4	3	no	—
1157	D₄	—	4	6	no	—
1158	D₄	—	68	6	no	—
1159	D₄	—	68	3	no	—
1160	D₄	—	68	6	no	—
1161	D₄	—	68	6	no	—
1162	D₄	—	68	6	no	—
1163	D₄	—	68	6	no	—
1164	D₄	—	68	6	no	—
1165	D₄	—	68	6	no	—
1166	C₂×C₄	—	4	6	no	—
1167	C₂×C₄	—	4	3	no	—
1168	C₂×C₄	—	4	6	no	—
1169	C₂×C₄	—	17	3	no	—
1170	C₂×C₄	—	17	6	no	—
1171	C₂×C₄	—	17	3	no	—
1172	C₂×C₄	—	17	6	no	—
1173	C₂×C₄	—	17	6	no	—
1174	C₂×C₄	—	34	6	no	—
1175	C₂×C₄	—	34	12	no	—
1176	C₂×C₄	—	34	12	no	—
1177	C₂×C₄	—	34	6	no	—
1178	C₂×C₄	—	34	12	no	—
1179	C₂×C₄	—	68	6	no	—
1180	C₂×C₄	—	68	3	no	—
1181	C₂×C₄	—	68	6	no	—
1182	C₂×C₄	—	68	6	no	—
1183	C₂×C₄	—	68	3	no	—
1184	C₂×C₄	—	68	6	no	—
1185	C₂×C₄	—	68	6	no	—
1186	C₂×C₄	—	68	3	no	—
1187	C₂×C₄	—	68	6	no	—
1188	C₂×C₄	C₂⁴×D₁₇	1	3	yes	—
1189	C₂×C₄	C₂⁴×D₁₇	1	6	yes	—
1190	C₂×C₄	C₂⁴×D₁₇	1	3	yes	—
1191	C₂×C₄	C₂⁴×D₁₇	1	6	yes	—
1192	C₂×C₄	C₂⁴×D₁₇	1	6	yes	—
1193	C₂²	—	2	3	no	—
1194	C₂²	—	2	6	no	—
1195	C₂²	—	2	6	no	—
1196	C₂²	—	2	6	no	—
1197	C₂²	—	8	4	no	—
1198	C₂²	—	17	6	no	—
1199	C₂²	—	34	3	no	—
1200	C₂²	—	34	6	no	—
1201	C₂²	—	34	6	no	—
1202	C₂²	—	34	6	no	—
1203	C₂²	—	68	24	no	—
1204	C₂²	—	68	4	no	—
1205	C₂²	—	136	12	no	—
1206	C₂²	C₂⁵×D₁₇	1	1	yes	characteristic
1207	C₄	—	2	3	no	—
1208	C₄	—	2	6	no	—
1209	C₄	—	2	3	no	—
1210	C₄	—	2	6	no	—
1211	C₄	—	2	6	no	—
1212	C₄	—	34	3	no	—
1213	C₄	—	34	6	no	—
1214	C₄	—	34	3	no	—
1215	C₄	—	34	6	no	—
1216	C₄	—	34	6	no	—
1217	C₂	—	4	6	no	—
1218	C₂	—	4	1	no	—
1219	C₂	—	17	4	no	—
1220	C₂	—	68	6	no	—
1221	C₂	—	68	1	no	—
1222	C₂	D₁₇×#585	1	3	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₇
commutator, socle, cosocle	C₂²×C₁₇	C₂⁶
Fitting	C₁₇×#3568	C₂
hypercenter	#3568	D₁₇
hypocenter	C₁₇	C₂×#3568
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #3568

Complements

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

N	H ≅ G/N	type
1. #14543481	C₂	semidirect
2. #14543480	C₂	semidirect
3. #14543479	C₂	semidirect
4. #14543478	C₂	semidirect
5. #14543477	C₂	semidirect
6. #14543476	C₂	semidirect
7. #14543475	C₂	semidirect
8. D₁₇×#563	C₂	semidirect
9. D₁₇×H(3,𝔽₄)	C₂	semidirect
10. D₁₇×#556	C₂	semidirect
11. D₁₇×#551	C₂	semidirect
12. D₁₇×#542	C₂	semidirect
13. D₁₇×#538	C₂	semidirect
14. D₁₇×#529	C₂	semidirect
15. C₁₇×#3568	C₂	semidirect
16. #11763563	C₂²	semidirect
17. #11763563	C₂²	semidirect
18. #11763562	C₂²	semidirect
19. #11763561	C₂²	semidirect
20. #11763561	C₂²	semidirect
21. #11763560	C₂²	semidirect
22. #11763560	C₂²	semidirect
23. #11763559	C₂²	semidirect
24. #11763558	C₂²	semidirect
25. #11763552	C₂²	semidirect
26. #11763551	C₂²	semidirect
27. #11763551	C₂²	semidirect
28. #11763533	C₂²	semidirect
29. #11763532	C₂²	semidirect
30. #11763531	C₂²	semidirect
31. #11763531	C₂²	semidirect
32. #11763530	C₂²	semidirect
33. #11763530	C₂²	semidirect
34. #11763529	C₂²	semidirect
35. #11763528	C₂²	semidirect
36. #11763528	C₂²	semidirect
37. #11763527	C₂²	semidirect
38. #11763527	C₂²	semidirect
39. #11763526	C₂²	semidirect
40. #11763526	C₂²	semidirect
41. #11763526	C₂²	semidirect
42. #11763526	C₂²	semidirect
43. #11763490	C₂²	semidirect
44. #11763489	C₂²	semidirect
45. #11763488	C₂²	semidirect
46. #11763488	C₂²	semidirect
47. #11763487	C₂²	semidirect
48. #11763486	C₂²	semidirect
49. #11763486	C₂²	semidirect
50. #11763485	C₂²	semidirect
51. #11763485	C₂²	semidirect
52. #11763484	C₂²	semidirect
53. #11763484	C₂²	semidirect
54. #11763483	C₂²	semidirect
55. #11763483	C₂²	semidirect
56. #11763482	C₂²	semidirect
57. #11763482	C₂²	semidirect
58. #11763433	C₂²	semidirect
59. #11763432	C₂²	semidirect
60. #11763431	C₂²	semidirect
61. #11763430	C₂²	semidirect
62. #11763429	C₂²	semidirect
63. #11763429	C₂²	semidirect
64. #11763428	C₂²	semidirect
65. #11763427	C₂²	semidirect
66. #11763427	C₂²	semidirect
67. #11763426	C₂²	semidirect
68. #11763425	C₂²	semidirect
69. #11763425	C₂²	semidirect
70. #11763424	C₂²	semidirect
71. #11763423	C₂²	semidirect
72. #11763423	C₂²	semidirect
73. #11763399	C₂²	semidirect
74. #11763398	C₂²	semidirect
75. #11763398	C₂²	semidirect
76. #11763397	C₂²	semidirect
77. #11763396	C₂²	semidirect
78. #11763395	C₂²	semidirect
79. #11763395	C₂²	semidirect
80. #11763394	C₂²	semidirect
81. #11763394	C₂²	semidirect
82. #11763393	C₂²	semidirect
83. #11763393	C₂²	semidirect
84. #11763392	C₂²	semidirect
85. #11763392	C₂²	semidirect
86. #11763391	C₂²	semidirect
87. #11763391	C₂²	semidirect
88. C₄⋊Q₈×D₁₇	C₂²	semidirect
89. #11763346	C₂²	semidirect
90. #11763345	C₂²	semidirect
91. #11763344	C₂²	semidirect
92. #11763343	C₂²	semidirect
93. #11763342	C₂²	semidirect
94. #11763341	C₂²	semidirect
95. #11763340	C₂²	semidirect
96. #11763339	C₂²	semidirect
97. #11763338	C₂²	semidirect
98. #11763337	C₂²	semidirect
99. #11763336	C₂²	semidirect
100. #126×D₁₇	C₂²	semidirect
101. #126×D₁₇	C₂²	semidirect
102. #126×D₁₇	C₂²	semidirect
103. #126×D₁₇	C₂²	semidirect
104. #126×D₁₇	C₂²	semidirect
105. #125×D₁₇	C₂²	semidirect
109. #124×D₁₇	C₂²	semidirect
112. #123×D₁₇	C₂²	semidirect
113. C₂²⋊Q₈×D₁₇	C₂²	semidirect
114. C₂²⋊Q₈×D₁₇	C₂²	semidirect
115. C₂²⋊Q₈×D₁₇	C₂²	semidirect
116. C₂²⋊Q₈×D₁₇	C₂²	semidirect
120. #120×D₁₇	C₂²	semidirect
121. C₄×Q₈×D₁₇	C₂²	semidirect
122. C₄×Q₈×D₁₇	C₂²	semidirect
125. C₄×D₄×D₁₇	C₂²	semidirect
126. #117×D₁₇	C₂²	semidirect
127. #117×D₁₇	C₂²	semidirect
128. C₂×C₂²⋊C₄×D₁₇	C₂²	semidirect
129. C₂×C₄²×D₁₇	C₂²	semidirect
130. C₁₇×#563	C₂²	semidirect
131. C₁₇×H(3,𝔽₄)	C₂²	semidirect
132. C₁₇×#556	C₂²	semidirect
133. C₁₇×#551	C₂²	semidirect
134. C₁₇×#542	C₂²	semidirect
135. C₁₇×#538	C₂²	semidirect
136. C₁₇×#529	C₂²	semidirect
146. C₁₇×C₄⋊Q₈	C₂³	semidirect
147. C₁₇×#126	C₂³	semidirect
148. C₁₇×#126	C₂³	semidirect
149. C₁₇×#126	C₂³	semidirect
150. C₁₇×#126	C₂³	semidirect
151. C₁₇×#126	C₂³	semidirect
152. C₁₇×#125	C₂³	semidirect
156. C₁₇×#124	C₂³	semidirect
159. C₁₇×#123	C₂³	semidirect
160. C₁₇×C₂²⋊Q₈	C₂³	semidirect
161. C₁₇×C₂²⋊Q₈	C₂³	semidirect
162. C₁₇×C₂²⋊Q₈	C₂³	semidirect
163. C₁₇×C₂²⋊Q₈	C₂³	semidirect
167. C₁₇×#120	C₂³	semidirect
168. C₄×Q₈×C₁₇	C₂³	semidirect
169. C₄×Q₈×C₁₇	C₂³	semidirect
172. C₄×D₄×C₁₇	C₂³	semidirect
173. C₁₇×#117	C₂³	semidirect
174. C₁₇×#117	C₂³	semidirect
175. C₂×C₂²⋊C₄×C₁₇	C₂³	semidirect
176. C₂×C₄²×C₁₇	C₂³	semidirect
178. #10587639	C₂³	semidirect
179. C₂×C₂²⋊Dic₁₇	C₂³	semidirect
183. #10587633	C₂³	semidirect
184. #10587632	C₂³	semidirect
185. #10587632	C₂³	semidirect
186. #10587632	C₂³	semidirect
187. #10587632	C₂³	semidirect
188. Q₈×Dic₁₇	C₂³	semidirect
189. Q₈×Dic₁₇	C₂³	semidirect
190. #10587630	C₂³	semidirect
191. #10587630	C₂³	semidirect
200. #10587623	C₂³	semidirect
204. #10587622	C₂³	semidirect
207. #10587621	C₂³	semidirect
210. D₄×Dic₁₇	C₂³	semidirect
215. #10587615	C₂³	semidirect
219. C₄×C₂²⋊D₁₇	C₂³	semidirect
220. C₄×C₂²⋊D₁₇	C₂³	semidirect
221. C₂×#63227	C₂³	semidirect
222. C₂×#63227	C₂³	semidirect
223. #10587612	C₂³	semidirect
224. #10587612	C₂³	semidirect
225. #10587610	C₂³	semidirect
226. #10587610	C₂³	semidirect
227. #10587610	C₂³	semidirect
228. #10587610	C₂³	semidirect
229. C₂×C₄×Dic₁₇	C₂³	semidirect
230. #10587584	C₂³	semidirect
231. #10587584	C₂³	semidirect
232. #10587584	C₂³	semidirect
233. #10587584	C₂³	semidirect
234. #10587584	C₂³	semidirect
235. #10587584	C₂³	semidirect
236. #10587584	C₂³	semidirect
237. #10587584	C₂³	semidirect
238. #10587584	C₂³	semidirect
239. #10587584	C₂³	semidirect
240. #10587584	C₂³	semidirect
241. #10587584	C₂³	semidirect
242. #10587584	C₂³	semidirect
243. #10587583	C₂³	semidirect
244. #10587583	C₂³	semidirect
245. #10587583	C₂³	semidirect
246. #10587583	C₂³	semidirect
247. #10587582	C₂³	semidirect
248. #10587582	C₂³	semidirect
249. #10587582	C₂³	semidirect
250. #10587582	C₂³	semidirect
251. #10587582	C₂³	semidirect
252. #10587582	C₂³	semidirect
253. #10587582	C₂³	semidirect
260. #10587580	C₂³	semidirect
261. #10587580	C₂³	semidirect
264. #10587579	C₂³	semidirect
265. #10587578	C₂³	semidirect
266. #10587578	C₂³	semidirect
267. #10587578	C₂³	semidirect
268. #10587578	C₂³	semidirect
277. #10587576	C₂³	semidirect
278. #10587576	C₂³	semidirect
279. #10587575	C₂³	semidirect
280. #10587575	C₂³	semidirect
281. #10587574	C₂³	semidirect
282. #10587574	C₂³	semidirect
283. #10587574	C₂³	semidirect
284. #10587574	C₂³	semidirect
285. #10587573	C₂³	semidirect
286. #10587573	C₂³	semidirect
287. #10587573	C₂³	semidirect
288. #10587573	C₂³	semidirect
289. #10587573	C₂³	semidirect
292. #10587572	C₂³	semidirect
303. #10587571	C₂³	semidirect
304. #10587571	C₂³	semidirect
305. #10587571	C₂³	semidirect
306. #10587571	C₂³	semidirect
314. #10587569	C₂³	semidirect
315. #10587569	C₂³	semidirect
319. #10587568	C₂³	semidirect
323. #10587567	C₂³	semidirect
324. #10587567	C₂³	semidirect
334. C₂²⋊C₄×D₁₇	C₂³	semidirect
335. C₂²⋊C₄×D₁₇	C₂³	semidirect
336. C₂²⋊C₄×D₁₇	C₂³	semidirect
337. C₂²⋊C₄×D₁₇	C₂³	semidirect
338. #10587565	C₂³	semidirect
339. #10587565	C₂³	semidirect
340. #10587565	C₂³	semidirect
341. #10587565	C₂³	semidirect
342. #10587565	C₂³	semidirect
343. #10587565	C₂³	semidirect
344. #10587565	C₂³	semidirect
345. #10587565	C₂³	semidirect
346. #10587565	C₂³	semidirect
347. #10587565	C₂³	semidirect
348. #10587565	C₂³	semidirect
349. #10587565	C₂³	semidirect
350. #10587565	C₂³	semidirect
351. #10587564	C₂³	semidirect
352. #10587564	C₂³	semidirect
353. #10587564	C₂³	semidirect
354. #10587564	C₂³	semidirect
355. #10587564	C₂³	semidirect
356. #10587564	C₂³	semidirect
357. #10587564	C₂³	semidirect
358. #10587563	C₂³	semidirect
359. #10587563	C₂³	semidirect
360. #10587563	C₂³	semidirect
361. #10587563	C₂³	semidirect
362. #10587562	C₂³	semidirect
363. #10587562	C₂³	semidirect
364. #10587562	C₂³	semidirect
365. #10587562	C₂³	semidirect
366. #10587562	C₂³	semidirect
370. #10587561	C₂³	semidirect
373. C₄×D₆₈	C₂³	semidirect
374. #10587558	C₂³	semidirect
375. #10587558	C₂³	semidirect
376. #10587558	C₂³	semidirect
377. #10587558	C₂³	semidirect
383. C₄²×D₁₇	C₂³	semidirect
384. C₄²×D₁₇	C₂³	semidirect
385. #10587556	C₂³	semidirect
386. #10587555	C₂³	semidirect
387. C₄×Dic₃₄	C₂³	semidirect
388. C₄×Dic₃₄	C₂³	semidirect
389. C₄×Dic₃₄	C₂³	semidirect
390. C₄×Dic₃₄	C₂³	semidirect
391. C₄×Dic₃₄	C₂³	semidirect
589. #3568	D₁₇	direct (N × H)
630. #563	C₂×D₁₇	semidirect
634. H(3,𝔽₄)	C₂×D₁₇	semidirect
650. #556	C₂×D₁₇	semidirect
666. #551	C₂×D₁₇	semidirect
682. #542	C₂×D₁₇	semidirect
698. #538	C₂×D₁₇	semidirect
711. #529	C₂×D₁₇	semidirect
747. D₁₇	#3568	direct (N × H)
764. C₄⋊Q₈	C₂²×D₁₇	semidirect
796. #126	C₂²×D₁₇	semidirect
797. #126	C₂²×D₁₇	semidirect
798. #126	C₂²×D₁₇	semidirect
799. #126	C₂²×D₁₇	semidirect
800. #126	C₂²×D₁₇	semidirect
806. #125	C₂²×D₁₇	semidirect
836. #124	C₂²×D₁₇	semidirect
860. #123	C₂²×D₁₇	semidirect
887. C₂²⋊Q₈	C₂²×D₁₇	semidirect
888. C₂²⋊Q₈	C₂²×D₁₇	semidirect
889. C₂²⋊Q₈	C₂²×D₁₇	semidirect
890. C₂²⋊Q₈	C₂²×D₁₇	semidirect
916. #120	C₂²×D₁₇	semidirect
929. C₄×Q₈	C₂²×D₁₇	semidirect
930. C₄×Q₈	C₂²×D₁₇	semidirect
952. C₄×D₄	C₂²×D₁₇	semidirect
967. #117	C₂²×D₁₇	semidirect
968. #117	C₂²×D₁₇	semidirect
993. C₂×C₂²⋊C₄	C₂²×D₁₇	semidirect
1002. C₂×C₄²	C₂²×D₁₇	semidirect
1003. C₁₇	C₂×#3568	semidirect

Maximal subgroups

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

subgroup	index
#14543481	2
#14543480	2
#14543479	2
#14543478	2
#14543477	2
#14543476	2
#14543475	2
D₁₇×#563	2
D₁₇×H(3,𝔽₄)	2
D₁₇×#556	2
D₁₇×#551	2
D₁₇×#542	2
D₁₇×#538	2
D₁₇×#529	2
C₁₇×#3568	2
C₂×#3568	17

Subgroups — D17×#3568 #17941750

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₇×#3568 #17941750