Finite Group Databasebeta

← #17045481

Subgroups — #17045481

Order 4352.

1012 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762973C211yesmaximal, characteristic
2C4×#10587610C211yesmaximal, characteristic, complemented
3#14531274C211yesmaximal, characteristic
4#14529645C211yesmaximal, characteristic, complemented
5#14529638C211yesmaximal, characteristic, complemented
6#14529467C211yesmaximal, characteristic, complemented
7#14529460C211yesmaximal, characteristic, complemented
8#14529419C211yesmaximal, characteristic, complemented
9#14529405C211yesmaximal, characteristic, complemented
10#14529138C211yesmaximal, characteristic, complemented
11#14529124C211yesmaximal, characteristic, complemented
12#14529094C211yesmaximal, characteristic, complemented
13#14528985C211yesmaximal, characteristic, complemented
14#14528725C211yesmaximal, characteristic
15C4×C17×C22⋊C8C211yesmaximal, characteristic, complemented
16C22×#63252C2211yescharacteristic
17C22×Dic68C2211yescharacteristic
18C22×#63219C2211yescharacteristic
19C2×#10587610C2211yescharacteristic
20C2×C4×Dic34C2211yescharacteristic
21C2×#10587612C2211yescharacteristic
22#11762973C418yescomplemented
23C2×#10587489C2211yescharacteristic
24C2×#10587488C2211yescharacteristic
25C2×#10587487C2211yescharacteristic
26C2×#10587487C2211yescharacteristic
27C2×#10587487C2211yescharacteristic
28C2×#10587487C2211yescharacteristic
29C2×#10587487C2211yescharacteristic
30C2×#10587492C2211yescharacteristic
31C2×#10587492C2211yescharacteristic
32C2×#10587492C2211yescharacteristic
33#11762715C2211yescharacteristic
34#11762715C2211yescharacteristic
35#11762715C2211yescharacteristic
36#11762711C2211yescharacteristic
37#11762711C2211yescharacteristic
38#11762707C2211yescharacteristic
39#11762693—21no—
40#11762688—21no—
41#11762688—21no—
42#11762682—21no—
43#11762669C2211yescharacteristic
44C4×#63225—21no—
45C4×C4⋊Dic17C2211yescharacteristic
46C4×#63227—21no—
47C4×#63227—21no—
48C4×C22⋊Dic17—21no—
49#11762572C2211yescharacteristic
50#11762572C2211yescharacteristic
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53C22×C42×C17C2211yescharacteristic
54C2×C17×C22⋊C8C2211yescharacteristic
55C2×C17×C22⋊C8C2211yescharacteristic
56C2×C4×C8×C17C2211yescharacteristic
57C2×C4×C8×C17C2211yescharacteristic
58C17×#336C2211yescharacteristic
59C17×#336C2211yescharacteristic
60C23×C4×C17D411yescharacteristic
61C23×C4×C17D411yescharacteristic
62C23×C4×C17C2311yescharacteristic
63C22×C22⋊D17—21no—
64C2×#63252—22no—
65C2×#63252—41no—
66C2×#63252—41no—
67C2×#63252—41no—
68C2×#63252—41no—
69C2×#63252C2×C414yes—
70C22×D68C2311yescharacteristic
71C22×C4×D17—21no—
72C22×Dic34C2311yescharacteristic
73C22×Dic34C2311yescharacteristic
74C22×C8×C17C2311yescharacteristic
75C22×C8×C17C2311yescharacteristic
76C22×C8×C17C2311yescharacteristic
77C22×C8×C17C2311yescharacteristic
78C2×C42×C17—41no—
79C2×C42×C17—41no—
80C2×C42×C17D411yescharacteristic
81C2×C42×C17D411yescharacteristic
82C2×C42×C17C2311yescharacteristic
83C2×C42×C17C2311yescharacteristic
84C2×C22⋊Dic17—21no—
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17—21no—
87C2×#63227—21no—
88C2×#63227—21no—
89C2×#63227—21no—
90C2×#63227—21no—
91#10587612—41no—
92#10587612—41no—
93C2×C4⋊Dic17C2311yescharacteristic
94C2×C4⋊Dic17C2311yescharacteristic
95C2×C4⋊Dic17C2311yescharacteristic
96C2×C4⋊Dic17C2311yescharacteristic
97C2×C4⋊Dic17C2311yescharacteristic
98#10587610—22no—
99#10587610C2×C414yes—
100C2×#63225—21no—
101C2×#63225—21no—
102C2×#63225—21no—
103C2×C4×Dic17—21no—
104C2×C4×Dic17—21no—
105C2×C4×Dic17—21no—
106C2×Dic68—41no—
107C2×Dic68—41no—
108C2×Dic68C2×C414yescomplemented
109C2×#63219—41no—
110C2×#63219—41no—
111C2×#63219C2×C414yescomplemented
112C4×Dic34—41no—
113C4×Dic34—41no—
114C17×C22⋊C8—22no—
115C17×C22⋊C8C2×C414yes—
116C4×C8×C17—41no—
117C4×C8×C17—41no—
118#10587502—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587502—21no—
127#10587492—41no—
128#10587492—41no—
129#10587492C2×C414yescomplemented
130#10587489—41no—
131#10587488—41no—
132#10587487—41no—
133#10587487—41no—
134#10587487—41no—
135#10587487—41no—
136#10587487C2×C414yescomplemented
137C24×C17C2×D411yescharacteristic
138C23×D17—21no—
139C22×C4×C17—21no—
140C22×C4×C17—21no—
141C22×C4×C17—21no—
142C22×C4×C17—21no—
143C22×C4×C17—22no—
144C22×C4×C17—22no—
145C22×C4×C17—22no—
146C22×C4×C17—41no—
147C22×C4×C17—41no—
148C22×C4×C17—41no—
149C22×C4×C17C22×C412yes—
150C22×C4×C17C2×D411yescharacteristic
151C22×C4×C17C2×D411yescharacteristic
152C22×C4×C17C2×D411yescharacteristic
153C22×C4×C17C2×D411yescharacteristic
154C22×C4×C17C2×D411yescharacteristic
155C22×C4×C17#4112yes—
156C22×C4×C17C2411yescharacteristic
157C2×C22⋊D17—24no—
158C2×C22⋊D17—42no—
159C2×C22⋊D17—42no—
160C22×Dic17—21no—
161C22×Dic17—21no—
162C22×Dic17—21no—
163C22×Dic17—21no—
164C22×Dic17—21no—
165C22×Dic17—21no—
166C22×Dic17—21no—
167#63252—44no—
168#63252—44no—
169#63252—44no—
170#63252—44no—
171C2×D68—21no—
172C2×D68—21no—
173C2×D68—21no—
174C2×D68—21no—
175C2×D68—21no—
176C2×D68C22×C412yes—
177C2×C4×D17—24no—
178C2×C4×D17—42no—
179C2×C4×D17—42no—
180C2×Dic34—21no—
181C2×Dic34—21no—
182C2×Dic34—21no—
183C2×Dic34—21no—
184C2×Dic34—21no—
185C2×Dic34—21no—
186C2×Dic34—21no—
187C2×Dic34—21no—
188C2×Dic34—21no—
189C2×Dic34—21no—
190C2×Dic34C22×C412yes—
191C2×Dic34C22×C412yes—
192C2×C8×C17—21no—
193C2×C8×C17—21no—
194C2×C8×C17—21no—
195C2×C8×C17—21no—
196C2×C8×C17—21no—
197C2×C8×C17—21no—
198C2×C8×C17—21no—
199C2×C8×C17—21no—
200C2×C8×C17—21no—
201C2×C8×C17—21no—
202C2×C8×C17C22×C412yes—
203C2×C8×C17C22×C412yes—
204C42×C17—21no—
205C42×C17—21no—
206C42×C17—21no—
207C42×C17—21no—
208C42×C17—41no—
209C42×C17—41no—
210C22⋊Dic17—24no—
211C22⋊Dic17—42no—
212C22⋊Dic17—42no—
213#63227—42no—
214#63227—42no—
215#63227—42no—
216#63227—42no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220C4⋊Dic17—21no—
221C4⋊Dic17—21no—
222C4⋊Dic17—21no—
223C4⋊Dic17—21no—
224C4⋊Dic17—21no—
225C4⋊Dic17—21no—
226C4⋊Dic17C22×C412yes—
227#63225—24no—
228#63225—42no—
229#63225—42no—
230C4×Dic17—42no—
231C4×Dic17—42no—
232C4×Dic17—42no—
233Dic68—44no—
234#63219—44no—
235#22042—171nomaximal, Sylow
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—21no—
241C23×C17—21no—
242C23×C17C4×D412yes—
243C23×C17C22×D411yescharacteristic
244C22×D17—22no—
245C22×D17—41no—
246C22×D17—41no—
247C22×D17—41no—
248C22×D17—41no—
249C22×D17—41no—
250C22×D17—41no—
251C2×C4×C17—21no—
252C2×C4×C17—21no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—21no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—22no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—21no—
264C2×C4×C17—21no—
265C2×C4×C17—21no—
266C2×C4×C17—44no—
267C2×C4×C17—44no—
268C2×C4×C17C4×D412yes—
269C2×C4×C17#13512yes—
270C2×C4×C17#13512yes—
271C2×C4×C17#13712yes—
272C2×C4×C17C23×C411yescharacteristic
273C2×C4×C17C2×#4111yescharacteristic
274C2×C4×C17H(5,𝔽2)11yescharacteristic
275C2×C4×C17H(5,𝔽2)11yescharacteristic
276C2×C4×C17H(5,𝔽2)11yescharacteristic
277C2×C4×C17H(5,𝔽2)11yescharacteristic
278C22⋊D17—48no—
279C2×Dic17—22no—
280C2×Dic17—22no—
281C2×Dic17—22no—
282C2×Dic17—41no—
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×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300D68—22no—
301D68—22no—
302D68—41no—
303D68—41no—
304C4×D17—48no—
305Dic34—22no—
306Dic34—22no—
307Dic34—22no—
308Dic34—22no—
309Dic34—41no—
310Dic34—41no—
311Dic34—41no—
312Dic34—41no—
313C8×C17—22no—
314C8×C17—22no—
315C8×C17—41no—
316C8×C17—41no—
317C2×#452—171no—
318C4×C22⋊Q8—171no—
319#2297—171no—
320#1969—171no—
321#1968—171no—
322#1934—171no—
323#1933—171no—
324#1927—171no—
325#1925—171no—
326#1880—171no—
327#1878—171no—
328#1873—171no—
329#1854—171no—
330#1788—171no—
331C4×C22⋊C8D1711yescharacteristic, complemented
332C22×C17—22no—
333C22×C17—22no—
334C22×C17—22no—
335C22×C17—41no—
336C22×C17—41no—
337C22×C17—41no—
338C22×C17—41no—
339C22×C17C2×C4×D411yescharacteristic
340C22×C17#53411yescharacteristic
341C22×C17#53511yescharacteristic
342C22×C17C2×#13511yescharacteristic
343C22×C17C2×#13511yescharacteristic
344C22×C17C2×#13711yescharacteristic
345C22×C17#57511yescharacteristic
346C2×D17—42no—
347C2×D17—42no—
348C2×D17—42no—
349C2×D17—81no—
350C2×D17—81no—
351C2×D17—81no—
352C2×D17—81no—
353C4×C17—22no—
354C4×C17—22no—
355C4×C17—22no—
356C4×C17—22no—
357C4×C17—41no—
358C4×C17#51811yescharacteristic
359C4×C17#51811yescharacteristic
360C4×C17#53811yescharacteristic
361C4×C17#53811yescharacteristic
362Dic17—42no—
363Dic17—42no—
364Dic17—42no—
365Dic17—81no—
366Dic17—81no—
367Dic17—81no—
368Dic17—81no—
369C22×#41—171no—
370C22×Q16—171no—
371C22×SD16—171no—
372C2×C22⋊Q8—171no—
373C2×C4×Q8—171no—
374C2×#117—171no—
375C22×C42C2×D1711yescharacteristic
376#452—178no—
377C2×#107—171no—
378C2×#106—171no—
379C2×#103—171no—
380C2×#103—171no—
381C2×#103—171no—
382C2×#103—171no—
383C2×#103—171no—
384C2×#102—171no—
385C2×#102—171no—
386C2×#102—171no—
387C2×C22⋊C8C2×D1711yescharacteristic
388C2×C22⋊C8C2×D1711yescharacteristic
389C2×C4×C8C2×D1711yescharacteristic
390C2×C4×C8C2×D1711yescharacteristic
391#391—171no—
392#391—171no—
393#391—171no—
394#390—171no—
395#390—171no—
396#389—171no—
397#387—341no—
398#386—341no—
399#386—341no—
400#385—341no—
401#380—171no—
402C4×C4⋊C4—171no—
403C4×C4⋊C4—341no—
404C4×C22⋊C4—341no—
405C4×C22⋊C4—341no—
406C4×C22⋊C4—341no—
407#340—171no—
408#340—171no—
409#340—171no—
410#340—171no—
411#336C2×D1711yescharacteristic
412#336C2×D1711yescharacteristic
413C2×C17—42no—
414C2×C17#232111yescharacteristic
415C2×C17C4×#13511yescharacteristic
416C2×C17C4×#13711yescharacteristic
417C2×C17#319011yescharacteristic
418C2×C17#319111yescharacteristic
419C2×C17#321011yescharacteristic
420C2×C17#321211yescharacteristic
421D17—82no—
422C2×#41—174no—
423C2×#41—342no—
424C2×#41—681no—
425C2×#41—681no—
426C2×#41—681no—
427C2×#41—681no—
428C22×Q8—171no—
429C22×Q8—171no—
430C22×D4—171no—
431C22×D4—341no—
432C23×C4—341no—
433C23×C4D6811yescharacteristic
434C23×C4D6811yescharacteristic
435C23×C4C22×D1711yescharacteristic
436C2×Q16—174no—
437C2×Q16—681no—
438C2×Q16—681no—
439C2×SD16—174no—
440C2×SD16—681no—
441C2×SD16—681no—
442C22×C8C22×D1711yescharacteristic
443C22×C8C22×D1711yescharacteristic
444C22×C8C22×D1711yescharacteristic
445C22×C8C22×D1711yescharacteristic
446C22⋊Q8—174no—
447C22⋊Q8—342no—
448C4×Q8—681no—
449C4×Q8—681no—
450#117—681no—
451#117—681no—
452C2×C4⋊C4—171no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—171no—
455C2×C4⋊C4—171no—
456C2×C4⋊C4—171no—
457C2×C4⋊C4—341no—
458C2×C4⋊C4—341no—
459C2×C4⋊C4—341no—
460C2×C22⋊C4—341no—
461C2×C22⋊C4—341no—
462C2×C22⋊C4—341no—
463C2×C22⋊C4—341no—
464C2×C22⋊C4—341no—
465C2×C22⋊C4—341no—
466C2×C22⋊C4—341no—
467C2×C42—41no—
468C2×C42—41no—
469C2×C42—341no—
470C2×C42—341no—
471C2×C42—341no—
472C2×C42D6811yescharacteristic
473C2×C42D6811yescharacteristic
474C2×C42C22×D1711yescharacteristic
475C2×C42C22×D1711yescharacteristic
476#107—681no—
477#106—681no—
478#103—174no—
479#103—681no—
480#103—681no—
481#103—681no—
482#103—681no—
483#102—174no—
484#102—681no—
485#102—681no—
486C22⋊C8—22no—
487C22⋊C8C4×D1714yes—
488C4×C8—41no—
489C4×C8—41no—
490#95—341no—
491#95—341no—
492#95—341no—
493#95—341no—
494#95—341no—
495#95—341no—
496#95—341no—
497#95—341no—
498#95—341no—
499C17#2204211yescharacteristic, complemented, Sylow
500C24—341no—
501C24C2×D6811yescharacteristic
502#41—684no—
503#41—684no—
504#41—684no—
505#41—684no—
506C2×Q8—172no—
507C2×Q8—172no—
508C2×Q8—341no—
509C2×Q8—341no—
510C2×Q8—341no—
511C2×Q8—341no—
512C2×Q8—341no—
513C2×Q8—341no—
514C2×Q8—341no—
515C2×Q8—341no—
516C2×Q8—341no—
517C2×Q8—341no—
518C2×D4—172no—
519C2×D4—344no—
520C2×D4—341no—
521C2×D4—341no—
522C2×D4—341no—
523C2×D4—341no—
524C2×D4—341no—
525C2×D4—682no—
526C2×D4—682no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—341no—
538C22×C4—341no—
539C22×C4—341no—
540C22×C4—344no—
541C22×C4—341no—
542C22×C4—341no—
543C22×C4—341no—
544C22×C4—341no—
545C22×C4—682no—
546C22×C4—682no—
547C22×C4C2×C4×D1712yes—
548C22×C4C2×D6811yescharacteristic
549C22×C4C2×D6811yescharacteristic
550C22×C4C2×D6811yescharacteristic
551C22×C4C2×D6811yescharacteristic
552C22×C4C2×D6811yescharacteristic
553C22×C4#6325212yes—
554C22×C4C23×D1711yescharacteristic
555Q16—684no—
556SD16—684no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8C2×C4×D1712yes—
568C2×C8C2×C4×D1712yes—
569C4⋊C4—172no—
570C4⋊C4—341no—
571C4⋊C4—344no—
572C4⋊C4—341no—
573C4⋊C4—341no—
574C4⋊C4—341no—
575C4⋊C4—341no—
576C4⋊C4—341no—
577C4⋊C4—341no—
578C4⋊C4—341no—
579C4⋊C4—341no—
580C4⋊C4—682no—
581C4⋊C4—682no—
582C22⋊C4—344no—
583C22⋊C4—682no—
584C22⋊C4—682no—
585C22⋊C4—682no—
586C22⋊C4—682no—
587C22⋊C4—682no—
588C22⋊C4—682no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—41no—
594C42—41no—
595C42—682no—
596C42—682no—
597C42—682no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—342no—
605C23—681no—
606C23—681no—
607C23—681no—
608C23—681no—
609C23—681no—
610C23—681no—
611C23C4×D6812yes—
612C23C22×D6811yescharacteristic
613Q8—342no—
614Q8—342no—
615Q8—342no—
616Q8—342no—
617Q8—681no—
618Q8—681no—
619Q8—681no—
620Q8—681no—
621D4—342no—
622D4—342no—
623D4—688no—
624D4—681no—
625D4—681no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—342no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—688no—
647C2×C4—681no—
648C2×C4—681no—
649C2×C4—681no—
650C2×C4—681no—
651C2×C4—681no—
652C2×C4—681no—
653C2×C4—681no—
654C2×C4—681no—
655C2×C4—681no—
656C2×C4—681no—
657C2×C4—681no—
658C2×C4—681no—
659C2×C4—681no—
660C2×C4—681no—
661C2×C4—681no—
662C2×C4—681no—
663C2×C4—681no—
664C2×C4—681no—
665C2×C4C4×D6812yes—
666C2×C4#1058759012yes—
667C2×C4#1058759012yes—
668C2×C4#1058759512yes—
669C2×C4C22×C4×D1711yescharacteristic
670C2×C4C2×#6325211yescharacteristic
671C2×C4#1058769111yescharacteristic
672C2×C4#1058769111yescharacteristic
673C2×C4#1058769611yescharacteristic
674C2×C4#1058769611yescharacteristic
675C8—22no—
676C8—22no—
677C8—41no—
678C8—41no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—682no—
687C22—682no—
688C22—682no—
689C22—1361no—
690C22—1361no—
691C22—1361no—
692C22—1361no—
693C22C2×C4×D6811yescharacteristic
694C22#1176337111yescharacteristic
695C22#1176337811yescharacteristic
696C22C2×#1058759011yescharacteristic
697C22C2×#1058759011yescharacteristic
698C22C2×#1058759511yescharacteristic
699C22#1176360911yescharacteristic
700C4—22no—
701C4—22no—
702C4—22no—
703C4—22no—
704C4—41no—
705C4—682no—
706C4—682no—
707C4—682no—
708C4—1361no—
709C4—1361no—
710C4—1361no—
711C4—1361no—
712C4#1176328111yescharacteristic
713C4#1176328111yescharacteristic
714C4#1176339211yescharacteristic
715C4#1176339211yescharacteristic
716C2—42no—
717C2—1362no—
718C2#1453144411yescharacteristic
719C2C4×#1058759011yescharacteristic
720C2C4×#1058759511yescharacteristic
721C2#1453956711yescharacteristic
722C2#1453957711yescharacteristic
723C2#1453974211yescharacteristic
724C2#1453976211yescharacteristic
subgroupG/H
centerC23C22×D68
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC4×C17×C22⋊C8C2
socleC23×C17C22×D4
prime radicalC22×#63252C22
cosocleC22×C4×C17C24
hypercenterC4×C22⋊C8D17
hypocenterC17#22042
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C4×#10587610C2semidirect
4. #14529645C2semidirect
5. #14529638C2semidirect
6. #14529467C2semidirect
7. #14529460C2semidirect
8. #14529419C2semidirect
9. #14529405C2semidirect
10. #14529138C2semidirect
11. #14529124C2semidirect
12. #14529094C2semidirect
13. #14528985C2semidirect
15. C4×C17×C22⋊C8C2semidirect
22. #11762973C4semidirect
108. C2×Dic68C2×C4semidirect
111. C2×#63219C2×C4semidirect
129. #10587492C2×C4semidirect
136. #10587487C2×C4semidirect
331. C4×C22⋊C8D17semidirect
499. C17#22042semidirect

Maximal subgroups

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

subgroupindex
C2×#117629732
C4×#105876102
#145312742
#145296452
#145296382
#145294672
#145294602
#145294192
#145294052
#145291382
#145291242
#145290942
#145289852
#145287252
C4×C17×C22⋊C82
#2204217