Finite Group Databasebeta

← C17×#22132 #16879876

Subgroups — C17×#22132 #16879876

Order 4352.

628 conjugacy classes of subgroups.

The subgroup lattice has 622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3076C211yesmaximal, characteristic
2C17×#2961C211yesmaximal, characteristic, complemented
3C17×#2923C211yesmaximal, characteristic
4C17×#1986C211yesmaximal, characteristic, complemented
5C17×#1950C211yesmaximal, characteristic, complemented
6C17×#1946C211yesmaximal, characteristic, complemented
7C17×#1945C211yesmaximal, characteristic, complemented
8C17×#1938C211yesmaximal, characteristic
9C17×#1937C211yesmaximal, characteristic
10C17×#1929C211yesmaximal, characteristic
11C17×#1929C211yesmaximal, characteristic
12C17×#1922C211yesmaximal, characteristic, complemented
13C17×#1922C211yesmaximal, characteristic, complemented
14C17×#1806C211yesmaximal, characteristic
15C17×#1771C211yesmaximal, characteristic, complemented
16C17×#533C2211yescharacteristic
17C4×#41×C17C2211yescharacteristic
18C17×#479C411yescharacteristic, complemented
19C17×#479C411yescharacteristic, complemented
20C17×#478C411yescharacteristic, complemented
21C17×#478C411yescharacteristic, complemented
22C17×#477C411yescharacteristic, complemented
23C17×#476C411yescharacteristic, complemented
24C17×#475C411yescharacteristic, complemented
25C17×#474C411yescharacteristic, complemented
26C17×#446—21no—
27C17×#446—21no—
28C17×#446—21no—
29C17×#446—21no—
30C17×#433—21no—
31C17×#433—21no—
32C17×#432—21no—
33C17×#432—21no—
34C2×C17×#108C2211yescharacteristic
35C2×C17×#108C2211yescharacteristic
36C17×#427C2211yescharacteristic
37C17×#427C2211yescharacteristic
38C17×#424C2211yescharacteristic
39C17×#424C2211yescharacteristic
40C17×#424C2211yescharacteristic
41C17×#424C2211yescharacteristic
42C17×#423C2211yescharacteristic
43C2×C17×C4⋊C8C2211yescharacteristic
44C2×C17×#104C2211yescharacteristic
45C2×C17×#104C2211yescharacteristic
46C17×#416C2211yescharacteristic
47C17×#416C2211yescharacteristic
48C17×#408C2211yescharacteristic
49C17×#408C2211yescharacteristic
50C17×#405C2211yescharacteristic
51C17×#405C2211yescharacteristic
52C4×M16×C17C2211yescharacteristic
53C2×C17×#97C2211yescharacteristic
54C2×C17×#97C2211yescharacteristic
55C2×C4×C8×C17C2211yescharacteristic
56C4×C4⋊C4×C17C2211yescharacteristic
57C17×#341C2211yescharacteristic
58C17×#341C2211yescharacteristic
59C17×#339C2211yescharacteristic
60C17×#339C2211yescharacteristic
61C17×#339C2211yescharacteristic
62C17×#339C2211yescharacteristic
63C17×#339C2211yescharacteristic
64C17×#339C2211yescharacteristic
65C17×#336C2211yescharacteristic
66C17×#336C2211yescharacteristic
67C2×#41×C17C2311yescharacteristic
68C2×M16×C17C2311yescharacteristic
69C2×M16×C17C2311yescharacteristic
70C2×M16×C17C2311yescharacteristic
71C2×M16×C17C2311yescharacteristic
72C22×C8×C17C2311yescharacteristic
73C22×C8×C17C2311yescharacteristic
74C22×C8×C17C2311yescharacteristic
75C22×C8×C17C2311yescharacteristic
76C17×C4⋊Q8C2×C411yescharacteristic
77C17×C4⋊Q8C2×C411yescharacteristic
78C17×#125C2×C411yescharacteristic
79C17×#125C2×C411yescharacteristic
80C17×C22⋊Q8—21no—
81C17×C22⋊Q8—21no—
82C4×Q8×C17—21no—
83C4×Q8×C17—21no—
84C4×Q8×C17C2×C411yescharacteristic
85C4×Q8×C17C2×C411yescharacteristic
86C4×D4×C17—21no—
87C4×D4×C17—21no—
88C4×D4×C17C2×C411yescharacteristic
89C4×D4×C17C2×C411yescharacteristic
90C17×#117—21no—
91C17×#117C2311yescharacteristic
92C17×#117C2311yescharacteristic
93C17×#117C2311yescharacteristic
94C2×C4⋊C4×C17—21no—
95C2×C42×C17—21no—
96C2×C42×C17C2311yescharacteristic
97C2×C42×C17C2311yescharacteristic
98C2×C42×C17C2311yescharacteristic
99C17×#108—41no—
100C17×#108—41no—
101C17×#107C2×C411yescharacteristic
102C17×#107C2×C411yescharacteristic
103C17×#107C2×C411yescharacteristic
104C17×#107C2×C411yescharacteristic
105C17×#106C2×C411yescharacteristic
106C17×#106C2×C411yescharacteristic
107C17×#106C2×C411yescharacteristic
108C17×#106C2×C411yescharacteristic
109C17×C4⋊C8—21no—
110C17×C4⋊C8—21no—
111C17×C4⋊C8—21no—
112C17×C4⋊C8—21no—
113C17×C4⋊C8—21no—
114C17×C4⋊C8—21no—
115C17×C4⋊C8—21no—
116C17×C4⋊C8—21no—
117C17×C4⋊C8—21no—
118C17×C4⋊C8—21no—
119C17×C4⋊C8C2×C411yescharacteristic
120C17×C4⋊C8C2×C411yescharacteristic
121C17×C4⋊C8C2×C411yescharacteristic
122C17×C4⋊C8C2×C411yescharacteristic
123C17×#104—41no—
124C17×#104—41no—
125C17×#103C2×C411yescharacteristic
126C17×#103C2×C411yescharacteristic
127C17×#103C2×C411yescharacteristic
128C17×#103C2×C411yescharacteristic
129C17×#102C2×C411yescharacteristic
130C17×#102C2×C411yescharacteristic
131C17×#102C2×C411yescharacteristic
132C17×#102C2×C411yescharacteristic
133C17×C22⋊C8—21no—
134C17×C22⋊C8—21no—
135C17×C22⋊C8—21no—
136C17×C22⋊C8—21no—
137C17×#97—21no—
138C17×#97—21no—
139C17×#97—21no—
140C17×#97—41no—
141C17×#97D411yescharacteristic
142C17×#97D411yescharacteristic
143C17×#97D411yescharacteristic
144C17×#97D411yescharacteristic
145C4×C8×C17—21no—
146C4×C8×C17—21no—
147C4×C8×C17—21no—
148C4×C8×C17—41no—
149C17×#95—21no—
150#41×C17—21no—
151#41×C17—21no—
152#41×C17—21no—
153#41×C17—21no—
154C2×Q8×C17—21no—
155C2×Q8×C17—21no—
156C2×Q8×C17C22×C411yescharacteristic
157C2×D4×C17—21no—
158C2×D4×C17C22×C411yescharacteristic
159C22×C4×C17—21no—
160C22×C4×C17—21no—
161C22×C4×C17—21no—
162C22×C4×C17—21no—
163C22×C4×C17—21no—
164C22×C4×C17#4111yescharacteristic
165C22×C4×C17#4111yescharacteristic
166C22×C4×C17C2411yescharacteristic
167M16×C17—21no—
168M16×C17—21no—
169M16×C17—21no—
170M16×C17—21no—
171M16×C17—21no—
172M16×C17—21no—
173M16×C17—21no—
174M16×C17—21no—
175C2×C8×C17—21no—
176C2×C8×C17—21no—
177C2×C8×C17—21no—
178C2×C8×C17—21no—
179C2×C8×C17—21no—
180C2×C8×C17—21no—
181C2×C8×C17—21no—
182C2×C8×C17—21no—
183C2×C8×C17—21no—
184C2×C8×C17—21no—
185C2×C8×C17—21no—
186C2×C8×C17—21no—
187C2×C8×C17C22×C411yescharacteristic
188C2×C8×C17C22×C411yescharacteristic
189C2×C8×C17C22×C411yescharacteristic
190C2×C8×C17C22×C411yescharacteristic
191C2×C8×C17C2×D411yescharacteristic
192C2×C8×C17C2×D411yescharacteristic
193C2×C8×C17C2×D411yescharacteristic
194C2×C8×C17C2×D411yescharacteristic
195C4⋊C4×C17—21no—
196C4⋊C4×C17—21no—
197C4⋊C4×C17—21no—
198C4⋊C4×C17—21no—
199C4⋊C4×C17—21no—
200C4⋊C4×C17—21no—
201C4⋊C4×C17—21no—
202C4⋊C4×C17—21no—
203C4⋊C4×C17—42no—
204C4⋊C4×C17C22×C411yescharacteristic
205C4⋊C4×C17C22×C411yescharacteristic
206C4⋊C4×C17C22×C411yescharacteristic
207C4⋊C4×C17C22×C411yescharacteristic
208C4⋊C4×C17C22×C411yescharacteristic
209C4⋊C4×C17C22×C411yescharacteristic
210C22⋊C4×C17—21no—
211C22⋊C4×C17—21no—
212C22⋊C4×C17—21no—
213C22⋊C4×C17—21no—
214C22⋊C4×C17—21no—
215C42×C17—21no—
216C42×C17—21no—
217C42×C17—21no—
218C42×C17—21no—
219C42×C17—21no—
220C42×C17—21no—
221C42×C17—21no—
222C42×C17—21no—
223C42×C17—21no—
224C42×C17C22×C411yescharacteristic
225C42×C17C22×C411yescharacteristic
226C42×C17C2×D411yescharacteristic
227C42×C17C2×D411yescharacteristic
228#22132C1711yesmaximal, characteristic, direct product factor, Sylow
229C23×C17—21no—
230C23×C17C2×#4111yescharacteristic
231Q8×C17—21no—
232Q8×C17—21no—
233Q8×C17—81no—
234Q8×C17—81no—
235D4×C17—21no—
236D4×C17—21no—
237D4×C17—41no—
238D4×C17—41no—
239C2×C4×C17—22no—
240C2×C4×C17—21no—
241C2×C4×C17—21no—
242C2×C4×C17—21no—
243C2×C4×C17—21no—
244C2×C4×C17—21no—
245C2×C4×C17—21no—
246C2×C4×C17—21no—
247C2×C4×C17—41no—
248C2×C4×C17—41no—
249C2×C4×C17—41no—
250C2×C4×C17—41no—
251C2×C4×C17—41no—
252C2×C4×C17—41no—
253C2×C4×C17—41no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—81no—
257C2×C4×C17—81no—
258C2×C4×C17C4×D411yescharacteristic
259C2×C4×C17C4×D411yescharacteristic
260C2×C4×C17C4×D411yescharacteristic
261C2×C4×C17C4×D411yescharacteristic
262C2×C4×C17C23×C411yescharacteristic
263C2×C4×C17C22×D411yescharacteristic
264C2×C4×C17H(5,𝔽2)11yescharacteristic
265C2×C4×C172−1+411yescharacteristic
266C2×C4×C172−1+411yescharacteristic
267C2×C4×C172−1+411yescharacteristic
268C8×C17—21no—
269C8×C17—21no—
270C8×C17—21no—
271C8×C17—21no—
272C8×C17—21no—
273C8×C17—21no—
274C8×C17—21no—
275C8×C17—21no—
276C8×C17—41no—
277C8×C17—41no—
278C8×C17—41no—
279C8×C17—41no—
280#3076C2×C1711yescharacteristic
281#2961C2×C1711yescharacteristic, complemented
282#2923C2×C1711yescharacteristic
283#1986C2×C1711yescharacteristic, complemented
284#1950C2×C1711yescharacteristic, complemented
285#1946C2×C1711yescharacteristic, complemented
286#1945C2×C1711yescharacteristic, complemented
287#1938C2×C1711yescharacteristic
288#1937C2×C1711yescharacteristic
289#1929C2×C1711yescharacteristic
290#1929C2×C1711yescharacteristic
291#1922C2×C1711yescharacteristic, complemented
292#1922C2×C1711yescharacteristic, complemented
293#1806C2×C1711yescharacteristic
294#1771C2×C1711yescharacteristic, complemented
295C22×C17—21no—
296C22×C17—21no—
297C22×C17—41no—
298C22×C17—41no—
299C22×C17—41no—
300C22×C17C2×C4×D411yescharacteristic
301C22×C17#54111yescharacteristic
302C22×C17#54211yescharacteristic
303C4×C17—21no—
304C4×C17—21no—
305C4×C17—21no—
306C4×C17—21no—
307C4×C17—42no—
308C4×C17—41no—
309C4×C17—41no—
310C4×C17—41no—
311C4×C17—41no—
312C4×C17—41no—
313C4×C17—41no—
314C4×C17—41no—
315C4×C17—81no—
316C4×C17#51911yescharacteristic
317C4×C17#52011yescharacteristic
318C4×C17#53611yescharacteristic
319C4×C17#53711yescharacteristic
320#533C22×C1711yescharacteristic
321C4×#41C22×C1711yescharacteristic
322#479C4×C1711yescharacteristic, complemented
323#479C4×C1711yescharacteristic, complemented
324#478C4×C1711yescharacteristic, complemented
325#478C4×C1711yescharacteristic, complemented
326#477C4×C1711yescharacteristic, complemented
327#476C4×C1711yescharacteristic, complemented
328#475C4×C1711yescharacteristic, complemented
329#474C4×C1711yescharacteristic, complemented
330#446—21no—
331#446—21no—
332#446—21no—
333#446—21no—
334#433—21no—
335#433—21no—
336#432—21no—
337#432—21no—
338C2×#108C22×C1711yescharacteristic
339C2×#108C22×C1711yescharacteristic
340#427C22×C1711yescharacteristic
341#427C22×C1711yescharacteristic
342#424C22×C1711yescharacteristic
343#424C22×C1711yescharacteristic
344#424C22×C1711yescharacteristic
345#424C22×C1711yescharacteristic
346#423C22×C1711yescharacteristic
347C2×C4⋊C8C22×C1711yescharacteristic
348C2×#104C22×C1711yescharacteristic
349C2×#104C22×C1711yescharacteristic
350#416C22×C1711yescharacteristic
351#416C22×C1711yescharacteristic
352#408C22×C1711yescharacteristic
353#408C22×C1711yescharacteristic
354#405C22×C1711yescharacteristic
355#405C22×C1711yescharacteristic
356C4×M16C22×C1711yescharacteristic
357C2×#97C22×C1711yescharacteristic
358C2×#97C22×C1711yescharacteristic
359C2×C4×C8C22×C1711yescharacteristic
360C4×C4⋊C4C22×C1711yescharacteristic
361#341C22×C1711yescharacteristic
362#341C22×C1711yescharacteristic
363#339C22×C1711yescharacteristic
364#339C22×C1711yescharacteristic
365#339C22×C1711yescharacteristic
366#339C22×C1711yescharacteristic
367#339C22×C1711yescharacteristic
368#339C22×C1711yescharacteristic
369#336C22×C1711yescharacteristic
370#336C22×C1711yescharacteristic
371C2×C17—21no—
372C2×C17—21no—
373C2×C17—81no—
374C2×C17#232311yescharacteristic
375C2×C17#295611yescharacteristic
376C2×C17#295711yescharacteristic
377C2×#41C23×C1711yescharacteristic
378C2×M16C23×C1711yescharacteristic
379C2×M16C23×C1711yescharacteristic
380C2×M16C23×C1711yescharacteristic
381C2×M16C23×C1711yescharacteristic
382C22×C8C23×C1711yescharacteristic
383C22×C8C23×C1711yescharacteristic
384C22×C8C23×C1711yescharacteristic
385C22×C8C23×C1711yescharacteristic
386C4⋊Q8C2×C4×C1711yescharacteristic
387C4⋊Q8C2×C4×C1711yescharacteristic
388#125C2×C4×C1711yescharacteristic
389#125C2×C4×C1711yescharacteristic
390C22⋊Q8—21no—
391C22⋊Q8—21no—
392C4×Q8—21no—
393C4×Q8—21no—
394C4×Q8C2×C4×C1711yescharacteristic
395C4×Q8C2×C4×C1711yescharacteristic
396C4×D4—21no—
397C4×D4—21no—
398C4×D4C2×C4×C1711yescharacteristic
399C4×D4C2×C4×C1711yescharacteristic
400#117—21no—
401#117C23×C1711yescharacteristic
402#117C23×C1711yescharacteristic
403#117C23×C1711yescharacteristic
404C2×C4⋊C4—21no—
405C2×C42—21no—
406C2×C42C23×C1711yescharacteristic
407C2×C42C23×C1711yescharacteristic
408C2×C42C23×C1711yescharacteristic
409#108—41no—
410#108—41no—
411#107C2×C4×C1711yescharacteristic
412#107C2×C4×C1711yescharacteristic
413#107C2×C4×C1711yescharacteristic
414#107C2×C4×C1711yescharacteristic
415#106C2×C4×C1711yescharacteristic
416#106C2×C4×C1711yescharacteristic
417#106C2×C4×C1711yescharacteristic
418#106C2×C4×C1711yescharacteristic
419C4⋊C8—21no—
420C4⋊C8—21no—
421C4⋊C8—21no—
422C4⋊C8—21no—
423C4⋊C8—21no—
424C4⋊C8—21no—
425C4⋊C8—21no—
426C4⋊C8—21no—
427C4⋊C8—21no—
428C4⋊C8—21no—
429C4⋊C8C2×C4×C1711yescharacteristic
430C4⋊C8C2×C4×C1711yescharacteristic
431C4⋊C8C2×C4×C1711yescharacteristic
432C4⋊C8C2×C4×C1711yescharacteristic
433#104—41no—
434#104—41no—
435#103C2×C4×C1711yescharacteristic
436#103C2×C4×C1711yescharacteristic
437#103C2×C4×C1711yescharacteristic
438#103C2×C4×C1711yescharacteristic
439#102C2×C4×C1711yescharacteristic
440#102C2×C4×C1711yescharacteristic
441#102C2×C4×C1711yescharacteristic
442#102C2×C4×C1711yescharacteristic
443C22⋊C8—21no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447#97—21no—
448#97—21no—
449#97—21no—
450#97—41no—
451#97D4×C1711yescharacteristic
452#97D4×C1711yescharacteristic
453#97D4×C1711yescharacteristic
454#97D4×C1711yescharacteristic
455C4×C8—21no—
456C4×C8—21no—
457C4×C8—21no—
458C4×C8—41no—
459#95—21no—
460C17#2213211yescharacteristic, direct product factor, Sylow
461#41—21no—
462#41—21no—
463#41—21no—
464#41—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8C22×C4×C1711yescharacteristic
468C2×D4—21no—
469C2×D4C22×C4×C1711yescharacteristic
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4#41×C1711yescharacteristic
476C22×C4#41×C1711yescharacteristic
477C22×C4C24×C1711yescharacteristic
478M16—21no—
479M16—21no—
480M16—21no—
481M16—21no—
482M16—21no—
483M16—21no—
484M16—21no—
485M16—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8C22×C4×C1711yescharacteristic
499C2×C8C22×C4×C1711yescharacteristic
500C2×C8C22×C4×C1711yescharacteristic
501C2×C8C22×C4×C1711yescharacteristic
502C2×C8C2×D4×C1711yescharacteristic
503C2×C8C2×D4×C1711yescharacteristic
504C2×C8C2×D4×C1711yescharacteristic
505C2×C8C2×D4×C1711yescharacteristic
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—42no—
515C4⋊C4C22×C4×C1711yescharacteristic
516C4⋊C4C22×C4×C1711yescharacteristic
517C4⋊C4C22×C4×C1711yescharacteristic
518C4⋊C4C22×C4×C1711yescharacteristic
519C4⋊C4C22×C4×C1711yescharacteristic
520C4⋊C4C22×C4×C1711yescharacteristic
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42C22×C4×C1711yescharacteristic
536C42C22×C4×C1711yescharacteristic
537C42C2×D4×C1711yescharacteristic
538C42C2×D4×C1711yescharacteristic
539C23—21no—
540C23C2×#41×C1711yescharacteristic
541Q8—21no—
542Q8—21no—
543Q8—81no—
544Q8—81no—
545D4—21no—
546D4—21no—
547D4—41no—
548D4—41no—
549C2×C4—22no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—81no—
567C2×C4—81no—
568C2×C4C4×D4×C1711yescharacteristic
569C2×C4C4×D4×C1711yescharacteristic
570C2×C4C4×D4×C1711yescharacteristic
571C2×C4C4×D4×C1711yescharacteristic
572C2×C4C23×C4×C1711yescharacteristic
573C2×C4C22×D4×C1711yescharacteristic
574C2×C4C17×H(5,𝔽2)11yescharacteristic
575C2×C4C17×2−1+411yescharacteristic
576C2×C4C17×2−1+411yescharacteristic
577C2×C4C17×2−1+411yescharacteristic
578C8—21no—
579C8—21no—
580C8—21no—
581C8—21no—
582C8—21no—
583C8—21no—
584C8—21no—
585C8—21no—
586C8—41no—
587C8—41no—
588C8—41no—
589C8—41no—
590C22—21no—
591C22—21no—
592C22—41no—
593C22—41no—
594C22—41no—
595C22C2×C4×D4×C1711yescharacteristic
596C22C17×#54111yescharacteristic
597C22C17×#54211yescharacteristic
598C4—21no—
599C4—21no—
600C4—21no—
601C4—21no—
602C4—42no—
603C4—41no—
604C4—41no—
605C4—41no—
606C4—41no—
607C4—41no—
608C4—41no—
609C4—41no—
610C4—81no—
611C4C17×#51911yescharacteristic
612C4C17×#52011yescharacteristic
613C4C17×#53611yescharacteristic
614C4C17×#53711yescharacteristic
615C2—21no—
616C2—21no—
617C2—81no—
618C2C17×#232311yescharacteristic
619C2C17×#295611yescharacteristic
620C2C17×#295711yescharacteristic
subgroupG/H
centerC2×C4×C17C22×D4
commutatorC2×C4C23×C4×C17
Frattini, cosocleC22×C4C24×C17
socleC22×C17C2×C4×D4
prime radicalC2×#41×C17C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C17 ◁ C2×C17×#97 ◁ G

Complements

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

NH ≅ G/Ntype
2. C17×#2961C2semidirect
4. C17×#1986C2semidirect
5. C17×#1950C2semidirect
6. C17×#1946C2semidirect
7. C17×#1945C2semidirect
12. C17×#1922C2semidirect
13. C17×#1922C2semidirect
15. C17×#1771C2semidirect
18. C17×#479C4semidirect
19. C17×#479C4semidirect
20. C17×#478C4semidirect
21. C17×#478C4semidirect
22. C17×#477C4semidirect
23. C17×#476C4semidirect
24. C17×#475C4semidirect
25. C17×#474C4semidirect
228. #22132C17direct (N × H)
281. #2961C2×C17semidirect
283. #1986C2×C17semidirect
284. #1950C2×C17semidirect
285. #1946C2×C17semidirect
286. #1945C2×C17semidirect
291. #1922C2×C17semidirect
292. #1922C2×C17semidirect
294. #1771C2×C17semidirect
322. #479C4×C17semidirect
323. #479C4×C17semidirect
324. #478C4×C17semidirect
325. #478C4×C17semidirect
326. #477C4×C17semidirect
327. #476C4×C17semidirect
328. #475C4×C17semidirect
329. #474C4×C17semidirect
460. C17#22132direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#30762
C17×#29612
C17×#29232
C17×#19862
C17×#19502
C17×#19462
C17×#19452
C17×#19382
C17×#19372
C17×#19292
C17×#19222
C17×#18062
C17×#17712
#2213217