Finite Group Databasebeta

← C17×#34312 #16892056

Subgroups — C17×#34312 #16892056

Order 4352.

2960 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C17×#548C211yesmaximal, characteristic
2C2×C17×#520C211yesmaximal, characteristic, complemented
3C2×C17×#519C211yesmaximal, characteristic, complemented
4C17×#2367C213yesmaximal, complemented
5C17×#2363C213yesmaximal, complemented
6C17×#2360C213yesmaximal, complemented
7C17×#2352C213yesmaximal, complemented
8C17×#2351C211yesmaximal, characteristic, complemented
9C17×#2341C211yesmaximal, characteristic, complemented
10Q8×C22⋊C4×C17C211yesmaximal, characteristic, complemented
11C17×#2324C213yesmaximal, complemented
12C17×#2323C213yesmaximal, complemented
13C4×C17×#124C213yesmaximal, complemented
14C17×#2293C213yesmaximal, complemented
15C42×Q8×C17C211yesmaximal, characteristic, complemented
16C22×#41×C17C2211yescharacteristic
17C23×Q8×C17C2211yescharacteristic
18C17×#548C4116yescomplemented
19C2×C17×#124C2213yes—
20C2×C17×C22⋊Q8C2213yes—
21C2×C17×#121C2213yes—
22C17×#520—28no—
23C17×#519—28no—
24C2×C4×Q8×C17C2211yescharacteristic
25C2×C4×Q8×C17C2213yes—
26C2×C4×Q8×C17C2211yescharacteristic
27C2×C4×Q8×C17C2211yescharacteristic
28C2×C4×Q8×C17C2213yes—
29C2×C4×Q8×C17C2211yescharacteristic
30C2×C4×Q8×C17C2211yescharacteristic
31C2×C4×D4×C17C2213yes—
32C2×C4×D4×C17C2213yes—
33C2×C4×D4×C17C2213yes—
34C2×C17×#117C2213yes—
35C2×C17×#117C2213yes—
36C2×C17×#117C2213yes—
37C22×C4⋊C4×C17C2213yes—
38C17×#391C2213yes—
39C17×#391C2213yes—
40C17×#390C2213yes—
41C17×#390C2213yes—
42C17×#390C2213yes—
43C17×#390C2213yes—
44C17×#389C2213yes—
45C17×#389C2213yes—
46C17×#389C2213yes—
47C17×#389C2213yes—
48C17×#388C2211yescharacteristic
49C17×#388C2213yes—
50C17×#388C2213yes—
51C17×#388C2213yes—
52C17×#388C2216yes—
53C17×#388C2216yes—
54C17×#387C2216yes—
55C17×#386C2216yes—
56C17×#385C2216yes—
57C17×#382C2213yes—
58C17×#380C2213yes—
59C17×#380C2213yes—
60C4×C4⋊C4×C17C2213yes—
61C4×C4⋊C4×C17C2213yes—
62C4×C4⋊C4×C17C2213yes—
63C4×C4⋊C4×C17C2213yes—
64C4×C22⋊C4×C17C2213yes—
65C4×C22⋊C4×C17C2213yes—
66C4×C22⋊C4×C17C2216yes—
67C4×C22⋊C4×C17C2216yes—
68C43×C17C2213yes—
69C2×#41×C17—24no—
70C2×#41×C17—24no—
71C2×#41×C17C2×C418yes—
72C22×Q8×C17—24no—
73C22×Q8×C17—24no—
74C22×Q8×C17C2×C418yescomplemented
75C22×Q8×C17C2313yes—
76C22×Q8×C17C2311yescharacteristic
77C22×D4×C17C2313yes—
78C22×D4×C17C2313yes—
79C23×C4×C17C2313yes—
80C23×C4×C17C2313yes—
81C23×C4×C17C2316yes—
82C17×#124C2×C4124yescomplemented
83C17×C22⋊Q8C2×C4124yescomplemented
84C17×#121C2×C4124yescomplemented
85C4×Q8×C17—24no—
86C4×Q8×C17—24no—
87C4×Q8×C17—24no—
88C4×Q8×C17—212no—
89C4×Q8×C17—212no—
90C4×Q8×C17C2×C418yescomplemented
91C4×Q8×C17D418yescomplemented
92C4×D4×C17—212no—
93C4×D4×C17—212no—
94C4×D4×C17C2×C4124yescomplemented
95C17×#117—212no—
96C17×#117—212no—
97C17×#117—212no—
98C2×C4⋊C4×C17—212no—
99C2×C4⋊C4×C17C2313yes—
100C2×C4⋊C4×C17C2313yes—
101C2×C4⋊C4×C17C2311yescharacteristic
102C2×C4⋊C4×C17C2313yes—
103C2×C4⋊C4×C17C2313yes—
104C2×C4⋊C4×C17C2313yes—
105C2×C4⋊C4×C17C2313yes—
106C2×C4⋊C4×C17C2313yes—
107C2×C4⋊C4×C17C2313yes—
108C2×C4⋊C4×C17C2313yes—
109C2×C4⋊C4×C17C2313yes—
110C2×C4⋊C4×C17C2313yes—
111C2×C22⋊C4×C17C2313yes—
112C2×C22⋊C4×C17C2311yescharacteristic
113C2×C22⋊C4×C17C2313yes—
114C2×C22⋊C4×C17C2313yes—
115C2×C22⋊C4×C17C2311yescharacteristic
116C2×C22⋊C4×C17C2313yes—
117C2×C22⋊C4×C17C2313yes—
118C2×C22⋊C4×C17C2316yes—
119C2×C22⋊C4×C17C2313yes—
120C2×C22⋊C4×C17C2311yescharacteristic
121C2×C22⋊C4×C17C2313yes—
122C2×C22⋊C4×C17C2316yes—
123C2×C42×C17C2313yes—
124C2×C42×C17C2316yes—
125C2×C42×C17C2313yes—
126C2×C42×C17C2313yes—
127C2×C42×C17C2311yescharacteristic
128C2×C42×C17C2313yes—
129C2×C42×C17C2313yes—
130C2×C42×C17C2313yes—
131C2×C42×C17C2313yes—
132C2×C42×C17C2313yes—
133C17×#95C2311yescharacteristic
134C17×#95C2313yes—
135C17×#95C2313yes—
136C17×#95C2313yes—
137C17×#95C2316yes—
138C17×#95C2316yes—
139C17×#95C2313yes—
140C17×#95C2316yes—
141C17×#95C2311yescharacteristic
142C24×C17C2411yescharacteristic
143C24×C17C2413yes—
144#41×C17—232no—
145C2×Q8×C17—232no—
146C2×Q8×C17—26no—
147C2×Q8×C17—26no—
148C2×Q8×C17C22×C4112yes—
149C2×Q8×C17C22×C414yes—
150C2×Q8×C17C2×D414yes—
151C2×Q8×C17#4114yes—
152C2×D4×C17—26no—
153C2×D4×C17—26no—
154C2×D4×C17—43no—
155C2×D4×C17—43no—
156C2×D4×C17C22×C4112yes—
157C2×D4×C17C22×C4112yes—
158C22×C4×C17—26no—
159C22×C4×C17—26no—
160C22×C4×C17—26no—
161C22×C4×C17—26no—
162C22×C4×C17—212no—
163C22×C4×C17—46no—
164C22×C4×C17—46no—
165C22×C4×C17C22×C4112yes—
166C22×C4×C17C22×C4112yes—
167C22×C4×C17C2413yes—
168C22×C4×C17C2413yes—
169C22×C4×C17C2411yescharacteristic
170C22×C4×C17C2413yes—
171C22×C4×C17C2411yescharacteristic
172C22×C4×C17C2411yescharacteristic
173C22×C4×C17C2413yes—
174C22×C4×C17C2413yes—
175C22×C4×C17C2411yescharacteristic
176C22×C4×C17C2413yes—
177C22×C4×C17C2411yescharacteristic
178C22×C4×C17C2411yescharacteristic
179C22×C4×C17C2413yes—
180C4⋊C4×C17—26no—
181C4⋊C4×C17—26no—
182C4⋊C4×C17—22no—
183C4⋊C4×C17—26no—
184C4⋊C4×C17—26no—
185C4⋊C4×C17—26no—
186C4⋊C4×C17—26no—
187C4⋊C4×C17—43no—
188C4⋊C4×C17—43no—
189C4⋊C4×C17C22×C4112yes—
190C4⋊C4×C17C22×C4112yes—
191C4⋊C4×C17C2×D4112yes—
192C22⋊C4×C17—26no—
193C22⋊C4×C17—22no—
194C22⋊C4×C17—26no—
195C22⋊C4×C17—26no—
196C22⋊C4×C17—22no—
197C22⋊C4×C17—26no—
198C22⋊C4×C17—43no—
199C22⋊C4×C17—46no—
200C22⋊C4×C17—43no—
201C22⋊C4×C17C22×C4124yes—
202C22⋊C4×C17C22×C4112yes—
203C22⋊C4×C17C22×C414yes—
204C42×C17—26no—
205C42×C17—212no—
206C42×C17—26no—
207C42×C17—26no—
208C42×C17—22no—
209C42×C17—43no—
210C42×C17—43no—
211C42×C17—43no—
212C42×C17C22×C4112yes—
213C42×C17C2×D4112yes—
214#34312C1711yesmaximal, characteristic, direct product factor, Sylow
215C23×C17—21no—
216C23×C17—23no—
217C23×C17—21no—
218C23×C17—23no—
219C23×C17—21no—
220C23×C17—23no—
221C23×C17—21no—
222C23×C17—23no—
223C23×C17—23no—
224C23×C17—23no—
225C23×C17—21no—
226C23×C17—21no—
227C23×C17C23×C416yes—
228C23×C17C23×C412yes—
229C23×C17C2511yescharacteristic
230Q8×C17—224no—
231Q8×C17C4×D4116yes—
232D4×C17—224no—
233D4×C17—412no—
234C2×C4×C17—23no—
235C2×C4×C17—21no—
236C2×C4×C17—21no—
237C2×C4×C17—21no—
238C2×C4×C17—23no—
239C2×C4×C17—21no—
240C2×C4×C17—21no—
241C2×C4×C17—21no—
242C2×C4×C17—21no—
243C2×C4×C17—21no—
244C2×C4×C17—23no—
245C2×C4×C17—23no—
246C2×C4×C17—23no—
247C2×C4×C17—23no—
248C2×C4×C17—224no—
249C2×C4×C17—224no—
250C2×C4×C17—21no—
251C2×C4×C17—23no—
252C2×C4×C17—21no—
253C2×C4×C17—23no—
254C2×C4×C17—23no—
255C2×C4×C17—21no—
256C2×C4×C17—23no—
257C2×C4×C17—23no—
258C2×C4×C17—23no—
259C2×C4×C17—21no—
260C2×C4×C17—23no—
261C2×C4×C17—23no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—23no—
265C2×C4×C17—812no—
266C2×C4×C17C23×C412yes—
267C2×C4×C17C23×C416yes—
268C2×C4×C17C23×C416yes—
269C2×C4×C17C23×C412yes—
270C2×C4×C17C23×C416yes—
271C2×C4×C17C22×D416yes—
272C2×C4×C17C22×D412yes—
273C2×C4×C17C22×D416yes—
274C2×C4×C17C2×#4116yes—
275C2×C4×C172−1+412yes—
276C2×#548C2×C1711yescharacteristic
277C2×#520C2×C1711yescharacteristic, complemented
278C2×#519C2×C1711yescharacteristic, complemented
279#2367C2×C1713yescomplemented
280#2363C2×C1713yescomplemented
281#2360C2×C1713yescomplemented
282#2352C2×C1713yescomplemented
283#2351C2×C1711yescharacteristic, complemented
284#2341C2×C1711yescharacteristic, complemented
285Q8×C22⋊C4C2×C1711yescharacteristic, complemented
286#2324C2×C1713yescomplemented
287#2323C2×C1713yescomplemented
288C4×#124C2×C1713yescomplemented
289#2293C2×C1713yescomplemented
290C42×Q8C2×C1711yescharacteristic, complemented
291C22×C17—22no—
292C22×C17—26no—
293C22×C17—22no—
294C22×C17—26no—
295C22×C17—22no—
296C22×C17—26no—
297C22×C17—41no—
298C22×C17—43no—
299C22×C17—43no—
300C22×C17—41no—
301C22×C17—41no—
302C22×C17—43no—
303C22×C17—41no—
304C22×C17—43no—
305C22×C17C24×C411yescharacteristic
306C22×C17C23×D411yescharacteristic
307C22×C17C22×#4111yescharacteristic
308C22×C17C2×2−1+411yescharacteristic
309C22×C17#58511yescharacteristic
310C22×C17#58511yescharacteristic
311C22×C17#58511yescharacteristic
312C4×C17—22no—
313C4×C17—26no—
314C4×C17—26no—
315C4×C17—22no—
316C4×C17—22no—
317C4×C17—26no—
318C4×C17—22no—
319C4×C17—41no—
320C4×C17—43no—
321C4×C17—41no—
322C4×C17—43no—
323C4×C17—43no—
324C4×C17C2×C4×D4112yes—
325C22×#41C22×C1711yescharacteristic
326C23×Q8C22×C1711yescharacteristic
327#548C4×C17116yescomplemented
328C2×#124C22×C1713yes—
329C2×C22⋊Q8C22×C1713yes—
330C2×#121C22×C1713yes—
331#520—28no—
332#519—28no—
333C2×C4×Q8C22×C1713yes—
334C2×C4×Q8C22×C1711yescharacteristic
335C2×C4×Q8C22×C1711yescharacteristic
336C2×C4×Q8C22×C1711yescharacteristic
337C2×C4×Q8C22×C1713yes—
338C2×C4×Q8C22×C1711yescharacteristic
339C2×C4×Q8C22×C1711yescharacteristic
340C2×C4×D4C22×C1713yes—
341C2×C4×D4C22×C1713yes—
342C2×C4×D4C22×C1713yes—
343C2×#117C22×C1713yes—
344C2×#117C22×C1713yes—
345C2×#117C22×C1713yes—
346C22×C4⋊C4C22×C1713yes—
347#391C22×C1713yes—
348#391C22×C1713yes—
349#390C22×C1713yes—
350#390C22×C1713yes—
351#390C22×C1713yes—
352#390C22×C1713yes—
353#389C22×C1713yes—
354#389C22×C1713yes—
355#389C22×C1713yes—
356#389C22×C1713yes—
357#388C22×C1716yes—
358#388C22×C1716yes—
359#388C22×C1713yes—
360#388C22×C1713yes—
361#388C22×C1711yescharacteristic
362#388C22×C1713yes—
363#387C22×C1716yes—
364#386C22×C1716yes—
365#385C22×C1716yes—
366#382C22×C1713yes—
367#380C22×C1713yes—
368#380C22×C1713yes—
369C4×C4⋊C4C22×C1713yes—
370C4×C4⋊C4C22×C1713yes—
371C4×C4⋊C4C22×C1713yes—
372C4×C4⋊C4C22×C1713yes—
373C4×C22⋊C4C22×C1713yes—
374C4×C22⋊C4C22×C1713yes—
375C4×C22⋊C4C22×C1716yes—
376C4×C22⋊C4C22×C1716yes—
377C43C22×C1713yes—
378C2×C17—42no—
379C2×C17—46no—
380C2×C17C22×C4×D411yescharacteristic
381C2×C17#342811yescharacteristic
382C2×C17C4×2−1+411yescharacteristic
383C2×C17#349711yescharacteristic
384C2×C17#350011yescharacteristic
385C2×C17#351611yescharacteristic
386C2×C17#352411yescharacteristic
387C2×#41—24no—
388C2×#41—24no—
389C2×#41C2×C4×C1718yes—
390C22×Q8—24no—
391C22×Q8—24no—
392C22×Q8C2×C4×C1718yescomplemented
393C22×Q8C23×C1713yes—
394C22×Q8C23×C1711yescharacteristic
395C22×D4C23×C1713yes—
396C22×D4C23×C1713yes—
397C23×C4C23×C1713yes—
398C23×C4C23×C1713yes—
399C23×C4C23×C1716yes—
400#124C2×C4×C17124yescomplemented
401C22⋊Q8C2×C4×C17124yescomplemented
402#121C2×C4×C17124yescomplemented
403C4×Q8—24no—
404C4×Q8—24no—
405C4×Q8—24no—
406C4×Q8—212no—
407C4×Q8—212no—
408C4×Q8C2×C4×C1718yescomplemented
409C4×Q8D4×C1718yescomplemented
410C4×D4—212no—
411C4×D4—212no—
412C4×D4C2×C4×C17124yescomplemented
413#117—212no—
414#117—212no—
415#117—212no—
416C2×C4⋊C4—212no—
417C2×C4⋊C4C23×C1713yes—
418C2×C4⋊C4C23×C1713yes—
419C2×C4⋊C4C23×C1711yescharacteristic
420C2×C4⋊C4C23×C1713yes—
421C2×C4⋊C4C23×C1713yes—
422C2×C4⋊C4C23×C1713yes—
423C2×C4⋊C4C23×C1713yes—
424C2×C4⋊C4C23×C1713yes—
425C2×C4⋊C4C23×C1713yes—
426C2×C4⋊C4C23×C1713yes—
427C2×C4⋊C4C23×C1713yes—
428C2×C4⋊C4C23×C1713yes—
429C2×C22⋊C4C23×C1713yes—
430C2×C22⋊C4C23×C1711yescharacteristic
431C2×C22⋊C4C23×C1713yes—
432C2×C22⋊C4C23×C1713yes—
433C2×C22⋊C4C23×C1711yescharacteristic
434C2×C22⋊C4C23×C1713yes—
435C2×C22⋊C4C23×C1713yes—
436C2×C22⋊C4C23×C1716yes—
437C2×C22⋊C4C23×C1713yes—
438C2×C22⋊C4C23×C1711yescharacteristic
439C2×C22⋊C4C23×C1713yes—
440C2×C22⋊C4C23×C1716yes—
441C2×C42C23×C1713yes—
442C2×C42C23×C1716yes—
443C2×C42C23×C1713yes—
444C2×C42C23×C1713yes—
445C2×C42C23×C1711yescharacteristic
446C2×C42C23×C1713yes—
447C2×C42C23×C1713yes—
448C2×C42C23×C1713yes—
449C2×C42C23×C1713yes—
450C2×C42C23×C1713yes—
451#95C23×C1711yescharacteristic
452#95C23×C1713yes—
453#95C23×C1713yes—
454#95C23×C1713yes—
455#95C23×C1716yes—
456#95C23×C1716yes—
457#95C23×C1713yes—
458#95C23×C1716yes—
459#95C23×C1711yescharacteristic
460C17#3431211yescharacteristic, direct product factor, Sylow
461C24C24×C1711yescharacteristic
462C24C24×C1713yes—
463#41—232no—
464C2×Q8—232no—
465C2×Q8—26no—
466C2×Q8—26no—
467C2×Q8C22×C4×C17112yes—
468C2×Q8C22×C4×C1714yes—
469C2×Q8C2×D4×C1714yes—
470C2×Q8#41×C1714yes—
471C2×D4—26no—
472C2×D4—26no—
473C2×D4—43no—
474C2×D4—43no—
475C2×D4C22×C4×C17112yes—
476C2×D4C22×C4×C17112yes—
477C22×C4—26no—
478C22×C4—26no—
479C22×C4—26no—
480C22×C4—26no—
481C22×C4—212no—
482C22×C4—46no—
483C22×C4—46no—
484C22×C4C22×C4×C17112yes—
485C22×C4C22×C4×C17112yes—
486C22×C4C24×C1713yes—
487C22×C4C24×C1713yes—
488C22×C4C24×C1711yescharacteristic
489C22×C4C24×C1713yes—
490C22×C4C24×C1711yescharacteristic
491C22×C4C24×C1711yescharacteristic
492C22×C4C24×C1713yes—
493C22×C4C24×C1713yes—
494C22×C4C24×C1711yescharacteristic
495C22×C4C24×C1713yes—
496C22×C4C24×C1711yescharacteristic
497C22×C4C24×C1711yescharacteristic
498C22×C4C24×C1713yes—
499C4⋊C4—26no—
500C4⋊C4—26no—
501C4⋊C4—22no—
502C4⋊C4—26no—
503C4⋊C4—26no—
504C4⋊C4—26no—
505C4⋊C4—26no—
506C4⋊C4—43no—
507C4⋊C4—43no—
508C4⋊C4C22×C4×C17112yes—
509C4⋊C4C22×C4×C17112yes—
510C4⋊C4C2×D4×C17112yes—
511C22⋊C4—26no—
512C22⋊C4—22no—
513C22⋊C4—26no—
514C22⋊C4—26no—
515C22⋊C4—22no—
516C22⋊C4—26no—
517C22⋊C4—43no—
518C22⋊C4—46no—
519C22⋊C4—43no—
520C22⋊C4C22×C4×C1714yes—
521C22⋊C4C22×C4×C17112yes—
522C22⋊C4C22×C4×C17124yes—
523C42—26no—
524C42—212no—
525C42—26no—
526C42—26no—
527C42—22no—
528C42—43no—
529C42—43no—
530C42—43no—
531C42C22×C4×C17112yes—
532C42C2×D4×C17112yes—
533C23—21no—
534C23—23no—
535C23—21no—
536C23—23no—
537C23—21no—
538C23—23no—
539C23—21no—
540C23—23no—
541C23—23no—
542C23—23no—
543C23—21no—
544C23—21no—
545C23C23×C4×C1716yes—
546C23C23×C4×C1712yes—
547C23C25×C1711yescharacteristic
548Q8—224no—
549Q8C4×D4×C17116yes—
550D4—224no—
551D4—412no—
552C2×C4—23no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—23no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—23no—
563C2×C4—23no—
564C2×C4—23no—
565C2×C4—23no—
566C2×C4—224no—
567C2×C4—224no—
568C2×C4—21no—
569C2×C4—23no—
570C2×C4—21no—
571C2×C4—23no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—23no—
575C2×C4—23no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—23no—
583C2×C4—812no—
584C2×C4C23×C4×C1712yes—
585C2×C4C23×C4×C1716yes—
586C2×C4C23×C4×C1716yes—
587C2×C4C23×C4×C1712yes—
588C2×C4C23×C4×C1716yes—
589C2×C4C22×D4×C1716yes—
590C2×C4C22×D4×C1712yes—
591C2×C4C22×D4×C1716yes—
592C2×C4C2×#41×C1716yes—
593C2×C4C17×2−1+412yes—
594C22—22no—
595C22—26no—
596C22—22no—
597C22—26no—
598C22—22no—
599C22—26no—
600C22—41no—
601C22—43no—
602C22—43no—
603C22—41no—
604C22—41no—
605C22—43no—
606C22—41no—
607C22—43no—
608C22C24×C4×C1711yescharacteristic
609C22C23×D4×C1711yescharacteristic
610C22C22×#41×C1711yescharacteristic
611C22C2×C17×2−1+411yescharacteristic
612C22C17×#58511yescharacteristic
613C22C17×#58511yescharacteristic
614C22C17×#58511yescharacteristic
615C4—22no—
616C4—26no—
617C4—22no—
618C4—22no—
619C4—26no—
620C4—26no—
621C4—22no—
622C4—41no—
623C4—43no—
624C4—43no—
625C4—41no—
626C4—43no—
627C4C2×C4×D4×C17112yes—
628C2—42no—
629C2—46no—
630C2C22×C4×D4×C1711yescharacteristic
631C2C17×#342811yescharacteristic
632C2C4×C17×2−1+411yescharacteristic
633C2C17×#349711yescharacteristic
634C2C17×#350011yescharacteristic
635C2C17×#351611yescharacteristic
636C2C17×#352411yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutatorC22C24×C4×C17
Frattini, cosocleC23C25×C17
prime radicalC2×C17×#548C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C17×#520C2semidirect
3. C2×C17×#519C2semidirect
4. C17×#2367C2semidirect
5. C17×#2363C2semidirect
6. C17×#2360C2semidirect
7. C17×#2352C2semidirect
8. C17×#2351C2semidirect
9. C17×#2341C2semidirect
10. Q8×C22⋊C4×C17C2semidirect
11. C17×#2324C2semidirect
12. C17×#2323C2semidirect
13. C4×C17×#124C2semidirect
14. C17×#2293C2semidirect
15. C42×Q8×C17C2semidirect
18. C17×#548C4semidirect
74. C22×Q8×C17C2×C4semidirect
82. C17×#124C2×C4semidirect
83. C17×C22⋊Q8C2×C4semidirect
84. C17×#121C2×C4semidirect
90. C4×Q8×C17C2×C4semidirect
91. C4×Q8×C17D4semidirect
94. C4×D4×C17C2×C4semidirect
214. #34312C17direct (N × H)
277. C2×#520C2×C17semidirect
278. C2×#519C2×C17semidirect
279. #2367C2×C17semidirect
280. #2363C2×C17semidirect
281. #2360C2×C17semidirect
282. #2352C2×C17semidirect
283. #2351C2×C17semidirect
284. #2341C2×C17semidirect
285. Q8×C22⋊C4C2×C17semidirect
286. #2324C2×C17semidirect
287. #2323C2×C17semidirect
288. C4×#124C2×C17semidirect
289. #2293C2×C17semidirect
290. C42×Q8C2×C17semidirect
327. #548C4×C17semidirect
392. C22×Q8C2×C4×C17semidirect
400. #124C2×C4×C17semidirect
401. C22⋊Q8C2×C4×C17semidirect
402. #121C2×C4×C17semidirect
408. C4×Q8C2×C4×C17semidirect
409. C4×Q8D4×C17semidirect
412. C4×D4C2×C4×C17semidirect
460. C17#34312direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C17×#5482
C2×C17×#5202
C2×C17×#5192
C17×#23672
C17×#23632
C17×#23602
C17×#23522
C17×#23512
C17×#23412
Q8×C22⋊C4×C172
C17×#23242
C17×#23232
C4×C17×#1242
C17×#22932
C42×Q8×C172
#3431217