Finite Group Databasebeta

← #17050554

Subgroups — #17050554

Order 4352.

1162 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763500C211yesmaximal, characteristic
2C2×C8×D68C211yesmaximal, characteristic
3#14531716C211yesmaximal, characteristic
4#14529749C211yesmaximal, characteristic, complemented
5#14529741C211yesmaximal, characteristic, complemented
6#14529204C211yesmaximal, characteristic, complemented
7#14529204C211yesmaximal, characteristic, complemented
8#14529093C211yesmaximal, characteristic, complemented
9#14529088C211yesmaximal, characteristic, complemented
10#14528877C211yesmaximal, characteristic, complemented
11#14528869C211yesmaximal, characteristic, complemented
12#14528799C211yesmaximal, characteristic, complemented
13#14528499C211yesmaximal, characteristic, complemented
14D17×#340C211yesmaximal, characteristic, complemented
15C4×C17×#103C211yesmaximal, characteristic, complemented
16C22×C8×D17C2211yescharacteristic
17C22×C8×D17C2211yescharacteristic
18#11763500—24no—
19#11763500C418yescomplemented
20C2×#10587562—21no—
21C2×#10587556C2211yescharacteristic
22C2×#10587575—21no—
23C2×#10587580—21no—
24C2×#10587632C2211yescharacteristic
25C2×#10587632C2211yescharacteristic
26C2×C4×D68C2211yescharacteristic
27C2×#10587578C2211yescharacteristic
28C2×#10587578C2211yescharacteristic
29C2×#10587558—21no—
30C2×C4⋊C4×D17C2211yescharacteristic
31C2×C4⋊C4×D17C2211yescharacteristic
32C8×D68—24no—
33C2×C4⋊#3622C2211yescharacteristic
34C2×#10587506C2211yescharacteristic
35C2×#10587506C2211yescharacteristic
36C2×#10587491C2211yescharacteristic
37C2×#10587491C2211yescharacteristic
38#11762700—21no—
39#11762694—21no—
40#11762687—21no—
41#11762675C2211yescharacteristic
42#11762666C2211yescharacteristic
43#11762666C2211yescharacteristic
44C4×#63227—21no—
45#11762572C2211yescharacteristic
46#11762572C2211yescharacteristic
47#11762572C2211yescharacteristic
48#11762572C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762571C2211yescharacteristic
51#11762571C2211yescharacteristic
52#11762571C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55C2×C4×Q8×C17C2211yescharacteristic
56C2×C17×#103C2211yescharacteristic
57C2×C17×#103C2211yescharacteristic
58C2×C4×C8×C17C2211yescharacteristic
59C4×C4⋊C4×C17C2211yescharacteristic
60C17×#340C2211yescharacteristic
61C17×#340C2211yescharacteristic
62C22×Q8×C17C2311yescharacteristic
63C22×D68D411yescharacteristic
64C22×C4×D17—21no—
65C22×C4×D17—21no—
66C22×C4×D17C2311yescharacteristic
67C22×C4×D17C2311yescharacteristic
68C22×C8×C17C2311yescharacteristic
69C22×C8×C17C2311yescharacteristic
70C4×Q8×C17—22no—
71C4×Q8×C17C2×C414yescomplemented
72C2×C4⋊C4×C17—21no—
73C2×C4⋊C4×C17C2311yescharacteristic
74C2×C4⋊C4×C17C2311yescharacteristic
75C2×C4⋊C4×C17C2311yescharacteristic
76C2×C42×C17—21no—
77C2×C42×C17—21no—
78C2×C42×C17C2311yescharacteristic
79#10587632—22no—
80#10587632—22no—
81#10587632C2×C414yes—
82#10587632C2×C414yescomplemented
83C2×#63227—21no—
84C2×#63227—21no—
85C2×#63227—21no—
86C2×#63227—21no—
87C2×#63227—21no—
88C2×#63227—21no—
89C2×#63227D411yescharacteristic
90C2×#63227D411yescharacteristic
91C2×C4⋊Dic17D411yescharacteristic
92C2×C4⋊Dic17C2311yescharacteristic
93C2×C4⋊Dic17C2311yescharacteristic
94C2×C4⋊Dic17C2311yescharacteristic
95C2×C4⋊Dic17C2311yescharacteristic
96C2×#63225—21no—
97C2×#63225—21no—
98C2×#63225—21no—
99C2×#63225—21no—
100C2×#63225—21no—
101C2×#63225—21no—
102C2×C4×Dic17—21no—
103C2×C4×Dic17—21no—
104C22×#3622C2311yescharacteristic
105C22×#3622C2311yescharacteristic
106C2×C8×D17—22no—
107C2×C8×D17—22no—
108C2×C8×D17—22no—
109C2×C8×D17—22no—
110C2×C8×D17—41no—
111C2×C8×D17—41no—
112#10587580—28no—
113#10587578—22no—
114#10587578—22no—
115#10587578—41no—
116#10587578C2×C414yescomplemented
117C4⋊C4×D17—22no—
118C4⋊C4×D17—22no—
119C4⋊C4×D17—41no—
120C4⋊C4×D17C2×C414yes—
121#10587575—28no—
122#10587562—28no—
123C4×D68C2×C414yes—
124C4×D68D414yes—
125#10587558—28no—
126#10587556—22no—
127#10587556C2×C414yescomplemented
128C17×#103—22no—
129C17×#103—22no—
130C4×C8×C17—22no—
131C17×#95—21no—
132#10587506—41no—
133#10587506—41no—
134#10587502—21no—
135#10587502—21no—
136#10587502—21no—
137#10587502—21no—
138#10587491—22no—
139#10587491—22no—
140C4⋊#3622—22no—
141C23×D17C2×D411yescharacteristic
142C23×D17C2×D411yescharacteristic
143C2×Q8×C17—21no—
144C2×Q8×C17—21no—
145C2×Q8×C17—21no—
146C2×Q8×C17—21no—
147C2×Q8×C17—21no—
148C2×Q8×C17C22×C412yes—
149C22×C4×C17—21no—
150C22×C4×C17—21no—
151C22×C4×C17—21no—
152C22×C4×C17—21no—
153C22×C4×C17C2×D411yescharacteristic
154C22×C4×C17C2×D411yescharacteristic
155C22×C4×C17C2411yescharacteristic
156C22×Dic17—21no—
157C22×Dic17—21no—
158C22×Dic17—21no—
159C22×Dic17—21no—
160C22×Dic17C2×D411yescharacteristic
161C22×Dic17C2×D411yescharacteristic
162C2×D68—22no—
163C2×D68—22no—
164C2×D68C22⋊C414yes—
165C2×C4×D17—21no—
166C2×C4×D17—21no—
167C2×C4×D17—21no—
168C2×C4×D17—21no—
169C2×C4×D17—21no—
170C2×C4×D17—21no—
171C2×C4×D17—21no—
172C2×C4×D17—21no—
173C2×C4×D17—24no—
174C2×C4×D17—42no—
175C2×C4×D17—42no—
176C2×C4×D17—42no—
177C2×C4×D17—42no—
178C2×C4×D17—81no—
179C2×C4×D17C22×C412yes—
180C2×C4×D17C22×C412yes—
181C2×C4×D17C2×D412yes—
182C2×C4×D17C2×D412yes—
183C2×C8×C17—21no—
184C2×C8×C17—21no—
185C2×C8×C17—21no—
186C2×C8×C17—21no—
187C2×C8×C17—21no—
188C2×C8×C17#4112yes—
189C4⋊C4×C17—24no—
190C4⋊C4×C17—21no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17—21no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17C22×C412yes—
195C4⋊C4×C17#4112yes—
196C42×C17—24no—
197C42×C17—81no—
198C42×C17C22×C412yes—
199C42×C17C2×D412yes—
200#63227—24no—
201#63227—24no—
202#63227—24no—
203#63227—42no—
204#63227—42no—
205#63227—81no—
206#63227C22⋊C414yes—
207#63227C22⋊C414yes—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—21no—
214C4⋊Dic17C22⋊C414yes—
215C4⋊Dic17C22×C412yes—
216C4⋊Dic17C22×C412yes—
217#63225—24no—
218#63225—24no—
219#63225—24no—
220#63225—24no—
221#63225—24no—
222#63225—42no—
223C4×Dic17—24no—
224C4×Dic17—42no—
225C2×#3622—21no—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622—21no—
231C8×D17—44no—
232C8×D17—44no—
233#22486—171nomaximal, Sylow
234C23×C17C22×D411yescharacteristic
235C22×D17—21no—
236C22×D17—21no—
237C22×D17—21no—
238C22×D17—21no—
239C22×D17—21no—
240C22×D17—21no—
241C22×D17—21no—
242C22×D17—21no—
243C22×D17—21no—
244C22×D17—21no—
245C22×D17C2×C22⋊C412yes—
246C22×D17C2×C22⋊C412yes—
247C22×D17#13512yes—
248C22×D17#13512yes—
249Q8×C17—22no—
250Q8×C17—22no—
251Q8×C17—41no—
252Q8×C17—41no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—21no—
256C2×C4×C17—21no—
257C2×C4×C17—22no—
258C2×C4×C17—22no—
259C2×C4×C17—22no—
260C2×C4×C17—41no—
261C2×C4×C17—41no—
262C2×C4×C17—41no—
263C2×C4×C17—41no—
264C2×C4×C17—41no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17—41no—
269C2×C4×C17C2×C22⋊C412yes—
270C2×C4×C17C2×C22⋊C412yes—
271C2×C4×C17C23×C411yescharacteristic
272C2×C4×C17C22×D411yescharacteristic
273C2×C4×C17C2×#4111yescharacteristic
274C2×C4×C17C2×#4111yescharacteristic
275C2×C4×C17H(5,𝔽2)11yescharacteristic
276C2×C4×C172−1+411yescharacteristic
277C2×Dic17—21no—
278C2×Dic17—21no—
279C2×Dic17—21no—
280C2×Dic17—21no—
281C2×Dic17—22no—
282C2×Dic17—22no—
283C2×Dic17—41no—
284C2×Dic17—41no—
285C2×Dic17—41no—
286C2×Dic17—41no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17C2×C22⋊C412yes—
294C2×Dic17C2×C22⋊C412yes—
295D68—28no—
296C4×D17—22no—
297C4×D17—22no—
298C4×D17—22no—
299C4×D17—22no—
300C4×D17—22no—
301C4×D17—22no—
302C4×D17—22no—
303C4×D17—22no—
304C4×D17—48no—
305C4×D17—84no—
306C8×C17—22no—
307C8×C17—41no—
308#3622—41no—
309#3622—41no—
310C2×#552—171no—
311C2×C8×D4—171no—
312#2352—171no—
313#1991—171no—
314#1989—171no—
315#1892—171no—
316#1892—171no—
317#1873—171no—
318#1872—171no—
319#1825—171no—
320#1823—171no—
321#1805—171no—
322C4×#103D1711yescharacteristic, complemented
323#1735—171no—
324C2×#340—171no—
325C22×C17C22×C22⋊C411yescharacteristic
326C22×C17#54611yescharacteristic
327C22×C17#54711yescharacteristic
328C22×C17C2×#13511yescharacteristic
329C22×C17C2×#13511yescharacteristic
330C22×C17#57711yescharacteristic
331C22×C17#57811yescharacteristic
332C2×D17—22no—
333C2×D17—22no—
334C2×D17—22no—
335C2×D17—22no—
336C2×D17—22no—
337C2×D17—22no—
338C2×D17—22no—
339C2×D17—22no—
340C2×D17—22no—
341C2×D17—41no—
342C2×D17—41no—
343C2×D17—41no—
344C2×D17—41no—
345C2×D17#41614yes—
346C4×C17—22no—
347C4×C17—22no—
348C4×C17—42no—
349C4×C17—42no—
350C4×C17—42no—
351C4×C17—81no—
352C4×C17C4×#4111yescharacteristic
353C4×C17#52011yescharacteristic
354C4×C17#54611yescharacteristic
355C4×C17#54711yescharacteristic
356Dic17—22no—
357Dic17—22no—
358Dic17—42no—
359Dic17—42no—
360Dic17—81no—
361Dic17—81no—
362C23×C8—171no—
363C23×C8—171no—
364#552—178no—
365#552—344no—
366C2×#126—341no—
367C2×#125—171no—
368C2×#125—341no—
369C2×#123—341no—
370C2×C22⋊Q8—171no—
371C2×C22⋊Q8—171no—
372C2×C4×Q8C2×D1711yescharacteristic
373C2×C4×D4—171no—
374C2×#117—171no—
375C2×#117—171no—
376C2×#117—341no—
377C22×C4⋊C4—171no—
378C22×C4⋊C4—171no—
379C8×D4—344no—
380C2×C4⋊C8—171no—
381C2×#103—171no—
382C2×#103—171no—
383C2×#103C2×D1711yescharacteristic
384C2×#103C2×D1711yescharacteristic
385C2×C22⋊C8—171no—
386C2×C22⋊C8—171no—
387C2×C4×C8C2×D1711yescharacteristic
388#388—341no—
389#387—341no—
390#386—341no—
391#382—171no—
392#380—171no—
393#380—171no—
394C4×C4⋊C4C2×D1711yescharacteristic
395C4×C22⋊C4—341no—
396#340—171no—
397#340—171no—
398#340—171no—
399#340—171no—
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#340—171no—
405#340—171no—
406#340C2×D1711yescharacteristic
407#340C2×D1711yescharacteristic
408C2×C17#233911yescharacteristic
409C2×C17C2×#41611yescharacteristic
410C2×C17#289811yescharacteristic
411C2×C17#329611yescharacteristic
412C2×C17#330011yescharacteristic
413C2×C17#333611yescharacteristic
414C2×C17#333711yescharacteristic
415D17—24no—
416D17—42no—
417C22×Q8C22×D1711yescharacteristic
418C22×D4—171no—
419C23×C4—171no—
420C23×C4—171no—
421C23×C4—341no—
422C23×C4—341no—
423C22×C8—171no—
424C22×C8—171no—
425C22×C8—342no—
426C22×C8—342no—
427C22×C8—342no—
428C22×C8—342no—
429C22×C8—681no—
430C22×C8—681no—
431C22×C8C22×D1711yescharacteristic
432C22×C8C22×D1711yescharacteristic
433#126—348no—
434#125—174no—
435#125—348no—
436#125—342no—
437#123—348no—
438C22⋊Q8—174no—
439C22⋊Q8—174no—
440C22⋊Q8—342no—
441C22⋊Q8—342no—
442C4×Q8—22no—
443C4×Q8C4×D1714yescomplemented
444C4×D4—174no—
445C4×D4—174no—
446#117—174no—
447#117—348no—
448#117—342no—
449#117—342no—
450#117—681no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—171no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—171no—
455C2×C4⋊C4—174no—
456C2×C4⋊C4—171no—
457C2×C4⋊C4—171no—
458C2×C4⋊C4—342no—
459C2×C4⋊C4—341no—
460C2×C4⋊C4—341no—
461C2×C4⋊C4—341no—
462C2×C4⋊C4—341no—
463C2×C4⋊C4—341no—
464C2×C4⋊C4—342no—
465C2×C4⋊C4—341no—
466C2×C4⋊C4—681no—
467C2×C4⋊C4C22×D1711yescharacteristic
468C2×C4⋊C4C22×D1711yescharacteristic
469C2×C4⋊C4C22×D1711yescharacteristic
470C2×C22⋊C4—171no—
471C2×C22⋊C4—171no—
472C2×C22⋊C4—341no—
473C2×C22⋊C4—341no—
474C2×C22⋊C4—341no—
475C2×C22⋊C4—341no—
476C2×C22⋊C4—341no—
477C2×C22⋊C4—341no—
478C2×C42—21no—
479C2×C42—21no—
480C2×C42—341no—
481C2×C42—341no—
482C2×C42C22×D1711yescharacteristic
483C4⋊C8—342no—
484#103—22no—
485#103—22no—
486#103—681no—
487#103—681no—
488C22⋊C8—342no—
489C22⋊C8—342no—
490C4×C8—22no—
491#95—21no—
492#95—341no—
493#95—341no—
494#95—341no—
495#95—341no—
496C17#2248611yescharacteristic, complemented, Sylow
497C24—171no—
498C24—171no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8C2×C4×D1712yes—
505C2×D4—174no—
506C2×D4—342no—
507C2×D4—342no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—171no—
513C22×C4—171no—
514C22×C4—172no—
515C22×C4—172no—
516C22×C4—172no—
517C22×C4—172no—
518C22×C4—344no—
519C22×C4—341no—
520C22×C4—341no—
521C22×C4—341no—
522C22×C4—341no—
523C22×C4—341no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—341no—
527C22×C4—341no—
528C22×C4—341no—
529C22×C4—341no—
530C22×C4—341no—
531C22×C4—682no—
532C22×C4—682no—
533C22×C4—682no—
534C22×C4—682no—
535C22×C4—1361no—
536C22×C4D4×D1711yescharacteristic
537C22×C4D4×D1711yescharacteristic
538C22×C4C23×D1711yescharacteristic
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—341no—
545C2×C8—341no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8—684no—
551C2×C8—684no—
552C2×C8#6325212yes—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—174no—
559C4⋊C4—172no—
560C4⋊C4—172no—
561C4⋊C4—344no—
562C4⋊C4—344no—
563C4⋊C4—344no—
564C4⋊C4—341no—
565C4⋊C4—341no—
566C4⋊C4—344no—
567C4⋊C4—344no—
568C4⋊C4—341no—
569C4⋊C4—341no—
570C4⋊C4—341no—
571C4⋊C4—341no—
572C4⋊C4—682no—
573C4⋊C4C2×C4×D1712yes—
574C4⋊C4#6325212yes—
575C22⋊C4—174no—
576C22⋊C4—174no—
577C22⋊C4—344no—
578C22⋊C4—344no—
579C22⋊C4—344no—
580C22⋊C4—682no—
581C22⋊C4—682no—
582C22⋊C4—1361no—
583C42—24no—
584C42—81no—
585C42—344no—
586C42—682no—
587C42C2×C4×D1712yes—
588C42D4×D1712yes—
589C23—172no—
590C23—172no—
591C23—172no—
592C23—172no—
593C23—341no—
594C23—341no—
595C23—341no—
596C23—341no—
597C23—341no—
598C23—341no—
599C23—341no—
600C23—341no—
601C23—341no—
602C23—341no—
603C23C2×D4×D1711yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608D4—348no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—172no—
626C2×C4—172no—
627C2×C4—341no—
628C2×C4—341no—
629C2×C4—341no—
630C2×C4—341no—
631C2×C4—342no—
632C2×C4—342no—
633C2×C4—342no—
634C2×C4—342no—
635C2×C4—342no—
636C2×C4—342no—
637C2×C4—342no—
638C2×C4—342no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—688no—
642C2×C4—681no—
643C2×C4—681no—
644C2×C4—681no—
645C2×C4—681no—
646C2×C4—681no—
647C2×C4—681no—
648C2×C4—681no—
649C2×C4—681no—
650C2×C4—681no—
651C2×C4—681no—
652C2×C4—1364no—
653C2×C4C22⋊C4×D1712yes—
654C2×C4C22⋊C4×D1712yes—
655C2×C4C22×C4×D1711yescharacteristic
656C2×C4C2×#6325211yescharacteristic
657C2×C4C2×#6325211yescharacteristic
658C2×C4C2×D4×D1711yescharacteristic
659C2×C4#1058769611yescharacteristic
660C2×C4#1058769711yescharacteristic
661C8—22no—
662C8—41no—
663C8—681no—
664C8—681no—
665C22—174no—
666C22—342no—
667C22—342no—
668C22—342no—
669C22—342no—
670C22—342no—
671C22—342no—
672C22—342no—
673C22—342no—
674C22—342no—
675C22—681no—
676C22—681no—
677C22—681no—
678C22—681no—
679C22C2×C22⋊C4×D1711yescharacteristic
680C22#1176345511yescharacteristic
681C22#1176346411yescharacteristic
682C22#135×D1711yescharacteristic
683C22#135×D1711yescharacteristic
684C22#1176361511yescharacteristic
685C22#1176362211yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—81no—
692C4—342no—
693C4—342no—
694C4—682no—
695C4—682no—
696C4—1361no—
697C4—1361no—
698C4C4×#6325211yescharacteristic
699C4#1176328911yescharacteristic
700C4#1176345511yescharacteristic
701C4#1176346411yescharacteristic
702C2—344no—
703C2—682no—
704C2#1453161511yescharacteristic
705C2D17×#41611yescharacteristic
706C2#1453731211yescharacteristic
707C2#1454062411yescharacteristic
708C2#1454067611yescharacteristic
709C2#1454115411yescharacteristic
710C2#1454116811yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC4×C17×#103C2
socleC23×C17C22×D4
prime radicalC22×D68D4
cosocleC22×C4×C17C24
hypercenterC4×#103D17
hypocenterC17#22486
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
4. #14529749C2semidirect
5. #14529741C2semidirect
6. #14529204C2semidirect
7. #14529204C2semidirect
8. #14529093C2semidirect
9. #14529088C2semidirect
10. #14528877C2semidirect
11. #14528869C2semidirect
12. #14528799C2semidirect
13. #14528499C2semidirect
14. D17×#340C2semidirect
15. C4×C17×#103C2semidirect
19. #11763500C4semidirect
71. C4×Q8×C17C2×C4semidirect
82. #10587632C2×C4semidirect
116. #10587578C2×C4semidirect
127. #10587556C2×C4semidirect
322. C4×#103D17semidirect
443. C4×Q8C4×D17semidirect
496. C17#22486semidirect

Maximal subgroups

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

subgroupindex
C2×#117635002
C2×C8×D682
#145317162
#145297492
#145297412
#145292042
#145290932
#145290882
#145288772
#145288692
#145287992
#145284992
D17×#3402
C4×C17×#1032
#2248617