Finite Group Databasebeta

← D17⋊#2981 #17980078

Subgroups — D17⋊#2981 #17980078

Order 4352.

2230 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14545676C212yesmaximal, complemented
2#14545675C214yesmaximal, complemented
3#14545674C214yesmaximal, complemented
4#14545673C212yesmaximal, complemented
5#14545672C214yesmaximal, complemented
6D17⋊#436C212yesmaximal, complemented
7D17⋊#435C214yesmaximal, complemented
8D4×#63242C212yesmaximal, complemented
9D17⋊#432C211yesmaximal, characteristic, complemented
10#14545448C211yesmaximal, characteristic, complemented
11D17⋊#408C214yesmaximal, complemented
12D17×#532C211yesmaximal, characteristic
13C2×D17⋊M16C2214yes—
14C22×#63242C2214yes—
15#11763844C2214yescomplemented
16#11763843C2214yescomplemented
17#11763842C2218yescomplemented
18#11763841C2218yescomplemented
19#11763840C2218yescomplemented
20#11763839C2218yescomplemented
21#11763838C2218yescomplemented
22#11763837C2214yescomplemented
23#11763836C2218yescomplemented
24D4×#3624C2214yescomplemented
25#11763832C2212yescomplemented
26#11763831C2212yescomplemented
27#11763830C2212yescomplemented
28#11763829C2212yescomplemented
29#11763828C2212yescomplemented
30#11763827C2212yescomplemented
31#11763826C2212yescomplemented
32#11763825C2212yescomplemented
33#11763810C2212yes—
34#11763810C2212yes—
35#11763784C2218yescomplemented
36#11763783C2218yescomplemented
37#11763782C2218yescomplemented
38#11763782C2218yescomplemented
39#11763777C2212yes—
40#11763777C2212yes—
41#11763777C2214yes—
42#11763777C2214yes—
43#11763768C2212yes—
44C4×#63242C2211yescharacteristic
45C4×#63242C2211yescharacteristic
46C2×#41×D17C2212yes—
47#11763360C2211yescharacteristic
48#11763359C411yescharacteristic
49#11763358C2212yes—
50#11763357C2211yescharacteristic
51#11763356C412yes—
52#11763356C412yes—
53#11763355C412yes—
54#11763354C2212yes—
55#11763354C2212yes—
56C4⋊Q8×D17C411yescharacteristic
57#127×D17C411yescharacteristic
58#124×D17C412yes—
59#121×D17C412yes—
60#121×D17C412yes—
61C4×D4×D17C2212yes—
62C4×D4×D17C2212yes—
63C2×C42×D17C2211yescharacteristic
64C17×#532C411yescharacteristic
65C2×#41×C17C2×C412yes—
66#41×D17—48no—
67C2×#63256C2312yes—
68C2×Q8×D17C2×C412yes—
69C2×#63254C2312yes—
70C2×#63254C2314yes—
71C2×D4×D17C2×C412yes—
72C2×D4×D17C2×C412yes—
73C2×D4×D17C2×C414yes—
74C2×D4×D17C2×C412yes—
75C2×#63252C2×C412yes—
76C2×#63252C2×C414yes—
77C22×C4×D17C2×C411yescharacteristic
78C22×C4×D17C2×C411yescharacteristic
79C22×C4×D17C2311yescharacteristic
80C22×C4×D17C2314yes—
81C2×#63247C2318yes—
82C22×#3624C2318yes—
83D17⋊M16—48no—
84C2×#63243C2318yes—
85C2×#63242—48no—
86C2×#63242C2312yes—
87C2×#63242C2312yes—
88C2×#63242C2314yes—
89C2×#63242C2318yes—
90C17×C4⋊Q8C2×C411yescharacteristic
91C17×#127C2×C411yescharacteristic
92C17×#124C2×C412yes—
93C17×#121C2×C412yes—
94C17×#121C2×C412yes—
95C4×D4×C17C2×C412yes—
96C4×D4×C17C2×C412yes—
97C2×C42×C17C2×C411yescharacteristic
98#10587633C2×C412yes—
99#10587630C2×C412yes—
100#10587626C2×C412yes—
101#10587626C2×C412yes—
102#10587626C2×C412yes—
103#10587625C2×C414yes—
104#10587625C2×C414yes—
105#10587624C2×C412yes—
106#10587624C2×C412yes—
107#10587622C2×C412yes—
108D4×Dic17C2312yes—
109D4×Dic17C2312yes—
110#10587616C2×C412yes—
111#10587616C2×C412yes—
112C4×C22⋊D17C2×C414yes—
113C4×C22⋊D17C2×C414yes—
114C2×C4×Dic17C2×C411yescharacteristic
115C2×C4×Dic17C2311yescharacteristic
116C2×C4×Dic17C2311yescharacteristic
117#10587581C2×C412yes—
118#10587581C2×C412yes—
119#10587579C2312yes—
120#10587579C2312yes—
121C4⋊C4×D17C2×C412yes—
122C4⋊C4×D17C2×C412yes—
123#10587574C2×C412yes—
124#10587574C2×C412yes—
125#10587571C2×C414yes—
126#10587571C2×C414yes—
127#10587570C2×C414yes—
128#10587570C2×C414yes—
129#10587567C2314yes—
130#10587567C2314yes—
131C22⋊C4×D17C2×C414yes—
132C22⋊C4×D17C2×C414yes—
133#10587561C2×C412yes—
134#10587560C2×C411yescharacteristic
135C4×D68C2×C412yes—
136C4×D68C2×C412yes—
137C42×D17C2×C411yescharacteristic
138C42×D17C2×C411yescharacteristic
139C42×D17C2×C411yescharacteristic
140C42×D17C2×C411yescharacteristic
141C42×D17C2311yescharacteristic
142C42×D17C2311yescharacteristic
143C42×D17C2311yescharacteristic
144C42×D17C2311yescharacteristic
145#10587555C2×C411yescharacteristic
146C22⋊#3624C2314yes—
147C22⋊#3624C2314yes—
148C22⋊#3624C2318yes—
149C22⋊#3624C2318yes—
150#10587544C2314yes—
151#10587544C2314yes—
152#10587543C2314yes—
153#10587543C2314yes—
154#10587543C2318yes—
155#10587543C2318yes—
156#10587542C2314yes—
157#10587542C2314yes—
158C4⋊#3624C2314yes—
159C4⋊#3624C2314yes—
160C4×#3624C2312yes—
161C4×#3624C2312yes—
162C4×#3624C2312yes—
163C4×#3624C2312yes—
164C23×D17C22×C411yescharacteristic
165C23×D17C22×C414yes—
166#41×C17—44no—
167C2×Q8×C17C22×C412yes—
168C2×D4×C17C22×C412yes—
169C2×D4×C17C22×C412yes—
170C2×D4×C17C22×C412yes—
171C2×D4×C17C22×C414yes—
172C22×C4×C17C22×C411yescharacteristic
173C22×C4×C17C22×C411yescharacteristic
174C22×C4×C17C22×C414yes—
175C22×C4×C17C22×C411yescharacteristic
176C2×C22⋊D17C22×C414yes—
177C2×C22⋊D17C22×C414yes—
178C2×C22⋊D17C22×C414yes—
179C2×C22⋊D17C22×C414yes—
180C2×C22⋊D17C22×C414yes—
181C22×Dic17C22×C411yescharacteristic
182C22×Dic17C22×C411yescharacteristic
183C22×Dic17C2414yes—
184C22×Dic17C2411yescharacteristic
185#63256—44no—
186Q8×D17—44no—
187#63254—44no—
188#63254—44no—
189#63254—44no—
190D4×D17—28no—
191D4×D17—44no—
192D4×D17—44no—
193D4×D17—48no—
194#63252—44no—
195#63252—48no—
196C2×D68C22×C412yes—
197C2×D68C22×C412yes—
198C2×D68C22×C414yes—
199C2×D68C22×C412yes—
200C2×C4×D17—24no—
201C2×C4×D17—28no—
202C2×C4×D17—28no—
203C2×C4×D17—24no—
204C2×C4×D17—42no—
205C2×C4×D17C22×C411yescharacteristic
206C2×C4×D17C22×C411yescharacteristic
207C2×C4×D17C22×C411yescharacteristic
208C2×C4×D17C22×C411yescharacteristic
209C2×C4×D17C22×C411yescharacteristic
210C2×C4×D17C22×C411yescharacteristic
211C2×C4×D17C22×C414yes—
212C2×C4×D17C22×C411yescharacteristic
213C2×C4×D17C22×C414yes—
214C2×C4×D17C22×C411yescharacteristic
215C2×C4×D17C22×C411yescharacteristic
216C2×C4×D17C22×C411yescharacteristic
217C2×C4×D17C2414yes—
218C2×C4×D17C2411yescharacteristic
219C2×C4×D17C2411yescharacteristic
220C2×Dic34C22×C412yes—
221C2×Dic34C22×C414yes—
222#63247—48no—
223C2×#3624—48no—
224C2×#3624C2414yes—
225C2×#3624C2418yes—
226C2×#3624C2414yes—
227#63243—48no—
228#63242—24no—
229#63242—28no—
230#63242—24no—
231#63242—48no—
232C4⋊C4×C17C22×C412yes—
233C4⋊C4×C17C22×C412yes—
234C22⋊C4×C17C22×C414yes—
235C22⋊C4×C17C22×C414yes—
236C42×C17C22×C411yescharacteristic
237C42×C17C22×C411yescharacteristic
238C42×C17C22×C411yescharacteristic
239C42×C17C22×C411yescharacteristic
240C22⋊Dic17C22×C414yes—
241C22⋊Dic17C22×C414yes—
242#63227C22×C414yes—
243#63227C22×C414yes—
244#63227C22×C414yes—
245#63227C22×C414yes—
246C4⋊Dic17C22×C412yes—
247C4⋊Dic17C22×C412yes—
248#63225C22×C414yes—
249#63225C22×C414yes—
250C4×Dic17C22×C411yescharacteristic
251C4×Dic17C22×C411yescharacteristic
252C4×Dic17C22×C411yescharacteristic
253C4×Dic17C22×C411yescharacteristic
254C4×Dic17C22×C411yescharacteristic
255C4×Dic17C22×C411yescharacteristic
256C4×Dic17C22×C411yescharacteristic
257C4×Dic17C22×C411yescharacteristic
258C4×Dic17C2411yescharacteristic
259C4×Dic17C2411yescharacteristic
260C4×Dic17C2411yescharacteristic
261C4×Dic17C2411yescharacteristic
262C2×#2981—171nomaximal, Sylow
263C23×C17C23×C414yes—
264C23×C17C23×C411yescharacteristic
265C22×D17—22no—
266C22×D17—28no—
267C22×D17—22no—
268C22×D17—28no—
269C22×D17—22no—
270C22×D17—28no—
271C22×D17C23×C411yescharacteristic
272C22×D17C23×C414yes—
273C22×D17C23×C411yescharacteristic
274Q8×C17—42no—
275D4×C17—24no—
276D4×C17—42no—
277D4×C17—44no—
278D4×C17—42no—
279C2×C4×C17—22no—
280C2×C4×C17—28no—
281C2×C4×C17—22no—
282C2×C4×C17—41no—
283C2×C4×C17C23×C411yescharacteristic
284C2×C4×C17C23×C411yescharacteristic
285C2×C4×C17C23×C411yescharacteristic
286C2×C4×C17C23×C411yescharacteristic
287C2×C4×C17C23×C414yes—
288C2×C4×C17C23×C411yescharacteristic
289C2×C4×C17C23×C411yescharacteristic
290C22⋊D17—28no—
291C22⋊D17—44no—
292C22⋊D17—44no—
293C22⋊D17—44no—
294C22⋊D17—44no—
295C2×Dic17—22no—
296C2×Dic17—24no—
297C2×Dic17—24no—
298C2×Dic17—22no—
299C2×Dic17—41no—
300C2×Dic17C23×C411yescharacteristic
301C2×Dic17C23×C411yescharacteristic
302C2×Dic17C23×C414yes—
303C2×Dic17C23×C411yescharacteristic
304C2×Dic17C23×C411yescharacteristic
305C2×Dic17C23×C411yescharacteristic
306C2×Dic17C2511yescharacteristic
307D68—24no—
308D68—42no—
309D68—44no—
310D68—42no—
311C4×D17—22no—
312C4×D17—28no—
313C4×D17—22no—
314C4×D17—22no—
315C4×D17—22no—
316C4×D17—28no—
317C4×D17—22no—
318C4×D17—22no—
319C4×D17—22no—
320C4×D17—24no—
321C4×D17—24no—
322C4×D17—22no—
323C4×D17—41no—
324C4×D17—41no—
325C4×D17#13114yes—
326C4×D17H(5,𝔽2)14yes—
327Dic34—44no—
328Dic34—42no—
329#3624—24no—
330#3624—28no—
331#3624—24no—
332C2×#532—171no—
333#2981—174no—
334#2981—172no—
335#2981—174no—
336#2981—174no—
337#2981—172no—
338C2×#436—172no—
339C2×#435—174no—
340C2×C8×D4—172no—
341C2×#432—171no—
342C2×#431—171no—
343C2×#408—174no—
344C22×C17—21no—
345C22×C17—24no—
346C22×C17—21no—
347C22×C17—24no—
348C22×C17—21no—
349C22×C17—24no—
350C22×C17C24×C411yescharacteristic
351C2×D17—21no—
352C2×D17—24no—
353C2×D17—21no—
354C2×D17—24no—
355C2×D17—21no—
356C2×D17—24no—
357C2×D17—44no—
358C2×D17—416no—
359C2×D17#51812yes—
360C2×D17C2×#13112yes—
361C2×D17#56812yes—
362C4×C17—21no—
363C4×C17—24no—
364C4×C17—21no—
365C4×C17—21no—
366C4×C17—21no—
367C4×C17#51812yes—
368C4×C17C2×#13112yes—
369Dic17—21no—
370Dic17—24no—
371Dic17—21no—
372Dic17—21no—
373Dic17—21no—
374Dic17C2×#13112yes—
375Dic17C2×H(5,𝔽2)12yes—
376C22×#41—172no—
377C22×M16—174no—
378C23×C8—174no—
379#532—172no—
380#532—171no—
381#532—171no—
382#532—172no—
383#532—172no—
384#532—172no—
385#532—172no—
386#532—172no—
387#532—171no—
388#532#59511yescharacteristic
389C2×C4⋊Q8—171no—
390C2×#127—171no—
391C2×#124—172no—
392C2×#121—172no—
393C2×#121—172no—
394C2×C4×D4—172no—
395C2×C4×D4—172no—
396C22×C42—171no—
397#436—178no—
398#436—174no—
399#436—174no—
400#435—178no—
401#435—178no—
402#435—178no—
403#435—178no—
404C8×D4—174no—
405C8×D4—178no—
406C8×D4—174no—
407#432—172no—
408#432—172no—
409#432—172no—
410#432—172no—
411#431—172no—
412#431—172no—
413#431—172no—
414#431—172no—
415C2×C4⋊C8—172no—
416C2×C4⋊C8—172no—
417#408—178no—
418#408—178no—
419#408—178no—
420#408—178no—
421C2×C22⋊C8—172no—
422C2×C22⋊C8—172no—
423C2×C22⋊C8—174no—
424C2×C22⋊C8—174no—
425C2×#97—172no—
426C2×C4×C8—171no—
427C2×C4×C8—171no—
428C2×C17—41no—
429C2×C17—44no—
430C2×C17C2×#51811yescharacteristic
431C2×C17C22×#13111yescharacteristic
432C2×C17C2×#56811yescharacteristic
433D17—41no—
434D17—44no—
435D17#298114yescomplemented
436C2×#41—172no—
437C2×#41—174no—
438C2×#41—172no—
439C2×#41—174no—
440C2×#41—172no—
441C2×#41—688no—
442C2×#41C2×#59512yes—
443C22×Q8—172no—
444C22×D4—172no—
445C22×D4—172no—
446C22×D4—174no—
447C22×D4—172no—
448C23×C4—174no—
449C23×C4—171no—
450C23×C4—171no—
451C23×C4—171no—
452C2×M16—178no—
453C2×M16—178no—
454C2×M16—688no—
455C22×C8—172no—
456C22×C8—174no—
457C22×C8—172no—
458C22×C8—178no—
459C22×C8—178no—
460C22×C8—688no—
461C4⋊Q8—172no—
462C4⋊Q8—172no—
463C4⋊Q8—172no—
464C4⋊Q8—171no—
465C4⋊Q8C2×#59511yescharacteristic
466#127—172no—
467#127—172no—
468#127—172no—
469#127—171no—
470#127C2×#59511yescharacteristic
471#124—172no—
472#124—172no—
473#124—174no—
474#124—174no—
475#124—172no—
476#124C2×#59512yes—
477#121—172no—
478#121—172no—
479#121—174no—
480#121—174no—
481#121—172no—
482#121—172no—
483#121—172no—
484#121—172no—
485#121—174no—
486#121—174no—
487#121C2×#59512yes—
488#121C2×#59512yes—
489C4×D4—172no—
490C4×D4—172no—
491C4×D4—174no—
492C4×D4—174no—
493C4×D4—172no—
494C4×D4—172no—
495C4×D4—174no—
496C4×D4—174no—
497C4×D4—172no—
498C4×D4—172no—
499C4×D4C2×#59512yes—
500C4×D4C2×#59512yes—
501C2×C4⋊C4—172no—
502C2×C4⋊C4—172no—
503C2×C22⋊C4—174no—
504C2×C22⋊C4—174no—
505C2×C42—171no—
506C2×C42—171no—
507C2×C42—171no—
508C2×C42—171no—
509C2×C42—171no—
510C2×C42—171no—
511C2×C42—171no—
512C2×C42—171no—
513C2×C42—171no—
514C2×C42—171no—
515C2×C42—171no—
516C2×C42C2×#59511yescharacteristic
517C4⋊C8—174no—
518C4⋊C8—174no—
519C4⋊C8—174no—
520C4⋊C8—174no—
521C22⋊C8—174no—
522C22⋊C8—174no—
523C22⋊C8—178no—
524C22⋊C8—178no—
525C22⋊C8—174no—
526C22⋊C8—174no—
527C22⋊C8—178no—
528C22⋊C8—178no—
529#97—174no—
530#97—174no—
531C4×C8—172no—
532C4×C8—172no—
533C4×C8—172no—
534C4×C8—172no—
535C17C2×#298111yescharacteristic, complemented, Sylow
536C24—174no—
537C24—171no—
538#41—44no—
539#41—684no—
540#41—688no—
541#41—684no—
542#41—684no—
543#41—684no—
544#41—684no—
545C2×Q8—174no—
546C2×Q8—172no—
547C2×Q8—684no—
548C2×Q8C22×#59512yes—
549C2×D4—174no—
550C2×D4—174no—
551C2×D4—174no—
552C2×D4—174no—
553C2×D4—174no—
554C2×D4—172no—
555C2×D4—172no—
556C2×D4—174no—
557C2×D4—172no—
558C2×D4—348no—
559C2×D4—684no—
560C2×D4—684no—
561C2×D4—688no—
562C2×D4C22×#59512yes—
563C2×D4C22×#59512yes—
564C2×D4C22×#59514yes—
565C2×D4C22×#59512yes—
566C22×C4—171no—
567C22×C4—171no—
568C22×C4—171no—
569C22×C4—171no—
570C22×C4—174no—
571C22×C4—171no—
572C22×C4—171no—
573C22×C4—171no—
574C22×C4—171no—
575C22×C4—171no—
576C22×C4—171no—
577C22×C4—171no—
578C22×C4—174no—
579C22×C4—171no—
580C22×C4—174no—
581C22×C4—171no—
582C22×C4—174no—
583C22×C4—171no—
584C22×C4—171no—
585C22×C4—348no—
586C22×C4—348no—
587C22×C4—344no—
588C22×C4—344no—
589C22×C4—682no—
590C22×C4C22×#59511yescharacteristic
591C22×C4C22×#59511yescharacteristic
592C22×C4C22×#59514yes—
593C22×C4C22×#59511yescharacteristic
594M16—688no—
595M16—688no—
596C2×C8—174no—
597C2×C8—174no—
598C2×C8—178no—
599C2×C8—344no—
600C2×C8—348no—
601C2×C8—344no—
602C2×C8—688no—
603C2×C8—688no—
604C4⋊C4—174no—
605C4⋊C4—174no—
606C4⋊C4—172no—
607C4⋊C4—172no—
608C4⋊C4C22×#59512yes—
609C4⋊C4C22×#59512yes—
610C22⋊C4—174no—
611C22⋊C4—174no—
612C22⋊C4—174no—
613C22⋊C4—174no—
614C22⋊C4—174no—
615C22⋊C4—174no—
616C22⋊C4C22×#59514yes—
617C22⋊C4C22×#59514yes—
618C42—171no—
619C42—171no—
620C42—171no—
621C42—171no—
622C42—171no—
623C42—171no—
624C42—171no—
625C42—171no—
626C42—171no—
627C42—171no—
628C42—171no—
629C42—171no—
630C42C22×#59511yescharacteristic
631C42C22×#59511yescharacteristic
632C42C22×#59511yescharacteristic
633C42C22×#59511yescharacteristic
634C23—171no—
635C23—174no—
636C23—171no—
637C23—342no—
638C23—348no—
639C23—342no—
640C23—342no—
641C23—348no—
642C23—348no—
643C23C23×#59514yes—
644C23C23×#59511yescharacteristic
645Q8—42no—
646Q8—682no—
647Q8—684no—
648D4—24no—
649D4—42no—
650D4—44no—
651D4—42no—
652D4—348no—
653D4—344no—
654D4—682no—
655D4—684no—
656D4—682no—
657D4—684no—
658D4—684no—
659D4—684no—
660D4—684no—
661C2×C4—22no—
662C2×C4—28no—
663C2×C4—22no—
664C2×C4—41no—
665C2×C4—171no—
666C2×C4—171no—
667C2×C4—174no—
668C2×C4—174no—
669C2×C4—171no—
670C2×C4—171no—
671C2×C4—171no—
672C2×C4—171no—
673C2×C4—174no—
674C2×C4—344no—
675C2×C4—344no—
676C2×C4—342no—
677C2×C4—342no—
678C2×C4—342no—
679C2×C4—348no—
680C2×C4—342no—
681C2×C4—342no—
682C2×C4—342no—
683C2×C4—344no—
684C2×C4—344no—
685C2×C4—342no—
686C2×C4—342no—
687C2×C4—342no—
688C2×C4—348no—
689C2×C4—342no—
690C2×C4—681no—
691C2×C4—681no—
692C2×C4—681no—
693C2×C4C23×#59511yescharacteristic
694C2×C4C23×#59511yescharacteristic
695C2×C4C23×#59511yescharacteristic
696C2×C4C23×#59511yescharacteristic
697C2×C4C23×#59514yes—
698C2×C4C23×#59511yescharacteristic
699C2×C4C23×#59511yescharacteristic
700C8—344no—
701C8—348no—
702C8—344no—
703C22—21no—
704C22—24no—
705C22—21no—
706C22—24no—
707C22—21no—
708C22—24no—
709C22—172no—
710C22—172no—
711C22—172no—
712C22—341no—
713C22—344no—
714C22—341no—
715C22—344no—
716C22—341no—
717C22—344no—
718C22—684no—
719C22—6816no—
720C22C24×#59511yescharacteristic
721C4—21no—
722C4—24no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—172no—
727C4—172no—
728C4—341no—
729C4—344no—
730C4—341no—
731C4—341no—
732C4—341no—
733C4#1176387612yes—
734C4D17⋊#13112yes—
735C2—41no—
736C2—44no—
737C2—174no—
738C2—681no—
739C2—684no—
740C2C2×#1176387611yescharacteristic
741C2C2×D17⋊#13111yescharacteristic
742C2D17⋊#56811yescharacteristic
subgroupG/H
centerC2×C4C23×#595
commutator, socleC22×C17C24×C4
FrattiniC22C24×#595
FittingC17×#532C4
prime radicalD17×#532C2
cosocleC2×Dic17C25
hypercenter#532#595
hypocenterC17C2×#2981
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #532

Complements

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

NH ≅ G/Ntype
1. #14545676C2semidirect
2. #14545675C2semidirect
3. #14545674C2semidirect
4. #14545673C2semidirect
5. #14545672C2semidirect
6. D17⋊#436C2semidirect
7. D17⋊#435C2semidirect
8. D4×#63242C2semidirect
9. D17⋊#432C2semidirect
10. #14545448C2semidirect
11. D17⋊#408C2semidirect
15. #11763844C22semidirect
16. #11763843C22semidirect
17. #11763842C22semidirect
18. #11763841C22semidirect
19. #11763840C22semidirect
20. #11763839C22semidirect
21. #11763838C22semidirect
22. #11763837C22semidirect
23. #11763836C22semidirect
24. D4×#3624C22semidirect
25. #11763832C22semidirect
26. #11763831C22semidirect
27. #11763830C22semidirect
28. #11763829C22semidirect
29. #11763828C22semidirect
30. #11763827C22semidirect
31. #11763826C22semidirect
32. #11763825C22semidirect
35. #11763784C22semidirect
36. #11763783C22semidirect
37. #11763782C22semidirect
38. #11763782C22semidirect
435. D17#2981semidirect
535. C17C2×#2981semidirect

Maximal subgroups

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

subgroupindex
#145456762
#145456752
#145456742
#145456732
#145456722
D17⋊#4362
D17⋊#4352
D4×#632422
D17⋊#4322
#145454482
D17⋊#4082
D17×#5322
C2×#298117