Finite Group Databasebeta

← #17980095

Subgroups — #17980095

Order 4352.

2242 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14545662C214yesmaximal, complemented
2#14545658C214yesmaximal, complemented
3#14545652C218yesmaximal, complemented
4#14545524C214yesmaximal, complemented
5#14545522C214yesmaximal, complemented
6#14545464C212yesmaximal, complemented
7#14545370C211yesmaximal, characteristic, complemented
8#14545368C211yesmaximal, characteristic, complemented
9D17⋊#407C212yesmaximal, complemented
10C2×#11763317C211yesmaximal, characteristic
11C2×D17⋊M16C2214yes—
12C2×D17⋊M16C2212yescomplemented
13C22×#63247C2212yescomplemented
14#11763843C2218yescomplemented
15#11763842C2218yescomplemented
16#11763841C2218yescomplemented
17#11763839C2218yescomplemented
18#11763839C2218yescomplemented
19#11763838C2218yescomplemented
20#11763837C2218yescomplemented
21#11763836C2218yescomplemented
22#11763833C2218yescomplemented
23#11763833C2218yescomplemented
24#11763812C2214yescomplemented
25#11763783C2214yescomplemented
26#11763783C2214yescomplemented
27#11763782C2214yescomplemented
28#11763782C2214yescomplemented
29#11763781C2214yes—
30#11763781C2212yescomplemented
31#11763780C2214yescomplemented
32#11763780C2214yescomplemented
33#11763779C2212yes—
34#11763779C2212yes—
35#11763779C2212yescomplemented
36#11763777C2214yescomplemented
37#11763777C2214yescomplemented
38C4×#63247C2214yescomplemented
39C22×#63254C2211yescharacteristic
40C23×C4×D17C2211yescharacteristic
41#11763317C414yes—
42#11763317C412yes—
43#11763317C412yes—
44#11763317C2214yes—
45#11763317C2212yes—
46#11763317C2212yes—
47C2×#10587615C411yescharacteristic
48C2×#10587582C412yes—
49C2×#10587570C412yes—
50C2×#10587568C411yescharacteristic
51C2×#10587623C411yescharacteristic
52C2×#10587579C2212yes—
53C2×#10587567C2212yes—
54C2×#10587563C2211yescharacteristic
55C2×C17×#123C411yescharacteristic
56C24×D17C2×C411yescharacteristic
57C22×D4×C17C2×C411yescharacteristic
58C23×C4×C17C2×C411yescharacteristic
59C22×C22⋊D17C2×C412yes—
60C22×C22⋊D17C2×C411yescharacteristic
61C22×C22⋊D17C2×C411yescharacteristic
62C23×Dic17C2311yescharacteristic
63C23×Dic17C2311yescharacteristic
64C2×#63254—44no—
65C2×#63254C2×C412yes—
66C2×#63254C2×C412yes—
67C2×#63254C2312yes—
68C2×#63254C2312yes—
69C22×D68C2×C412yes—
70C22×C4×D17—44no—
71C22×C4×D17C2×C412yes—
72C22×C4×D17C2×C411yescharacteristic
73C22×C4×D17C2×C412yes—
74C22×C4×D17C2×C411yescharacteristic
75C22×C4×D17C2312yes—
76C22×C4×D17C2311yescharacteristic
77C22×C4×D17C2311yescharacteristic
78C22×C4×D17C2312yes—
79C22×C4×D17C2311yescharacteristic
80C22×Dic34C2×C411yescharacteristic
81C2×#63247—44no—
82C2×#63247C2314yes—
83C2×#63247C2314yes—
84C2×#63247C2314yescomplemented
85C22×#3624C2314yescomplemented
86D17⋊M16—48no—
87D17⋊M16—44no—
88C2×#63243C2318yes—
89C2×#63243C2314yescomplemented
90C2×#63242C2318yes—
91C2×#63242C2314yescomplemented
92C17×#123C2×C414yes—
93C17×#123C2×C412yes—
94C17×#123C2×C412yes—
95C2×C4⋊C4×C17C2×C412yes—
96C2×C22⋊C4×C17C2×C411yescharacteristic
97C2×C22⋊C4×C17C2×C412yes—
98C2×C22⋊Dic17C2×C411yescharacteristic
99#10587623C2×C412yes—
100#10587623C2×C414yes—
101#10587623C2×C412yes—
102#10587615C2×C414yes—
103#10587615C2×C412yes—
104#10587615C2×C412yes—
105C2×#63227C2×C412yes—
106C2×#63227C2×C412yes—
107C2×#63227C2×C412yes—
108C2×#63225C2×C412yes—
109C2×#63225C2×C412yes—
110C2×C4×Dic17C2312yes—
111#10587582C2×C414yes—
112#10587582C2×C414yes—
113#10587582C2×C414yes—
114#10587582C2×C414yes—
115#10587579C2×C414yes—
116#10587579C2×C414yes—
117#10587579C2314yes—
118#10587579C2314yes—
119#10587570C2×C414yes—
120#10587570C2×C414yes—
121#10587570C2×C414yes—
122#10587570C2×C414yes—
123#10587568C2×C412yes—
124#10587568C2×C414yes—
125#10587568C2×C412yes—
126#10587567C2×C414yes—
127#10587567C2×C414yes—
128#10587567C2314yes—
129#10587567C2314yes—
130#10587563C2×C412yes—
131#10587563C2×C412yes—
132#10587563C2312yes—
133#10587563C2312yes—
134C22⋊#3624C2314yes—
135C22⋊#3624C2314yes—
136C22⋊#3624C2314yes—
137C22⋊#3624C2314yes—
138C22⋊#3624C2318yescomplemented
139#10587544C2318yescomplemented
140#10587543C2318yes—
141#10587543C2318yes—
142#10587543C2318yescomplemented
143#10587542C2318yescomplemented
144C4⋊#3624C2318yescomplemented
145C4×#3624C2318yescomplemented
146C24×C17C22×C411yescharacteristic
147C24×C17C22×C411yescharacteristic
148C23×D17—44no—
149C23×D17—42no—
150C23×D17C22×C412yes—
151C23×D17C22×C411yescharacteristic
152C23×D17C22×C412yes—
153C23×D17C22×C411yescharacteristic
154C23×D17C22×C411yescharacteristic
155C2×D4×C17—42no—
156C2×D4×C17C22×C412yes—
157C2×D4×C17C22×C412yes—
158C22×C4×C17—42no—
159C22×C4×C17C22×C411yescharacteristic
160C22×C4×C17C22×C412yes—
161C22×C4×C17C22×C411yescharacteristic
162C22×C4×C17C22×C412yes—
163C22×C4×C17C22×C411yescharacteristic
164C22×C4×C17C22×C412yes—
165C2×C22⋊D17—42no—
166C2×C22⋊D17—42no—
167C2×C22⋊D17—44no—
168C2×C22⋊D17C22×C414yes—
169C2×C22⋊D17C22×C412yes—
170C2×C22⋊D17C22×C412yes—
171C2×C22⋊D17C22×C412yes—
172C2×C22⋊D17C22×C412yes—
173C2×C22⋊D17C22×C414yes—
174C22×Dic17—24no—
175C22×Dic17—24no—
176C22×Dic17C22×C411yescharacteristic
177C22×Dic17C22×C411yescharacteristic
178C22×Dic17C22×C411yescharacteristic
179C22×Dic17C22×C411yescharacteristic
180C22×Dic17C22×C412yes—
181C22×Dic17C22×C412yes—
182C22×Dic17C2412yes—
183C22×Dic17C2411yescharacteristic
184C22×Dic17C2411yescharacteristic
185C22×Dic17C2411yescharacteristic
186#63254—44no—
187#63254—44no—
188#63254—42no—
189#63254—42no—
190#63254—42no—
191#63254—42no—
192C2×D68—44no—
193C2×D68C22×C414yes—
194C2×D68C22×C414yes—
195C2×C4×D17—28no—
196C2×C4×D17—24no—
197C2×C4×D17—42no—
198C2×C4×D17—44no—
199C2×C4×D17—42no—
200C2×C4×D17—42no—
201C2×C4×D17—44no—
202C2×C4×D17—42no—
203C2×C4×D17—44no—
204C2×C4×D17C22×C412yes—
205C2×C4×D17C22×C412yes—
206C2×C4×D17C22×C412yes—
207C2×C4×D17C22×C412yes—
208C2×C4×D17C22×C412yes—
209C2×C4×D17C22×C412yes—
210C2×C4×D17C22×C412yes—
211C2×C4×D17C2412yes—
212C2×C4×D17C2412yes—
213C2×C4×D17C2412yes—
214C2×Dic34—42no—
215C2×Dic34C22×C412yes—
216C2×Dic34C22×C412yes—
217#63247—28no—
218#63247—28no—
219#63247—44no—
220C2×#3624—44no—
221C2×#3624C2418yes—
222C2×#3624C2418yes—
223#63243—48no—
224#63243—44no—
225#63242—48no—
226#63242—44no—
227C4⋊C4×C17C22×C414yes—
228C4⋊C4×C17C22×C414yes—
229C22⋊C4×C17C22×C412yes—
230C22⋊C4×C17C22×C412yes—
231C22⋊C4×C17C22×C414yes—
232C22⋊C4×C17C22×C414yes—
233C22⋊Dic17C22×C412yes—
234C22⋊Dic17C22×C412yes—
235#63227C22×C414yes—
236#63227C22×C414yes—
237#63227C22×C414yes—
238#63227C22×C414yes—
239#63227C22×C414yes—
240#63227C22×C414yes—
241#63225C22×C414yes—
242#63225C22×C414yes—
243#63225C22×C414yes—
244#63225C22×C414yes—
245C4×Dic17C22×C414yes—
246C4×Dic17C2414yes—
247#60231—171nomaximal, Sylow
248C23×C17—22no—
249C23×C17—22no—
250C23×C17—42no—
251C23×C17—42no—
252C23×C17C23×C411yescharacteristic
253C23×C17C23×C411yescharacteristic
254C23×C17C23×C412yes—
255C23×C17C23×C411yescharacteristic
256C22×D17—24no—
257C22×D17—22no—
258C22×D17—24no—
259C22×D17—24no—
260C22×D17—24no—
261C22×D17—41no—
262C22×D17—42no—
263C22×D17—41no—
264C22×D17—42no—
265C22×D17—42no—
266C22×D17—42no—
267C22×D17—42no—
268C22×D17—416no—
269C22×D17C23×C412yes—
270C22×D17C23×C412yes—
271C22×D17C23×C412yes—
272D4×C17—42no—
273D4×C17—42no—
274C2×C4×C17—22no—
275C2×C4×C17—24no—
276C2×C4×C17—41no—
277C2×C4×C17—42no—
278C2×C4×C17—41no—
279C2×C4×C17—42no—
280C2×C4×C17C23×C414yes—
281C2×C4×C17C23×C412yes—
282C2×C4×C17C23×C412yes—
283C2×C4×C17C23×C412yes—
284C22⋊D17—28no—
285C22⋊D17—42no—
286C22⋊D17—42no—
287C22⋊D17—42no—
288C22⋊D17—42no—
289C22⋊D17—44no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—24no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—42no—
300C2×Dic17C23×C414yes—
301C2×Dic17C23×C411yescharacteristic
302C2×Dic17C23×C411yescharacteristic
303C2×Dic17C23×C412yes—
304C2×Dic17C23×C411yescharacteristic
305C2×Dic17H(5,𝔽2)14yes—
306C2×Dic17C2511yescharacteristic
307D68—28no—
308D68—44no—
309C4×D17—24no—
310C4×D17—24no—
311C4×D17—24no—
312C4×D17—24no—
313C4×D17—22no—
314C4×D17—24no—
315C4×D17—22no—
316C4×D17—42no—
317C4×D17—42no—
318C4×D17—42no—
319C4×D17—42no—
320Dic34—42no—
321Dic34—42no—
322#3624—28no—
323#3624—28no—
324C2×#525—171no—
325#2978—174no—
326#2977—174no—
327#2976—178no—
328D4×M16—174no—
329D4×M16—174no—
330#2921—172no—
331#2879—171no—
332#2879—171no—
333C2×#407—172no—
334C22×C17—22no—
335C22×C17—21no—
336C22×C17—21no—
337C22×C17—22no—
338C22×C17—24no—
339C22×C17—22no—
340C22×C17—22no—
341C22×C17—44no—
342C22×C17—82no—
343C22×C17#51812yes—
344C22×C17C24×C411yescharacteristic
345C2×D17—22no—
346C2×D17—22no—
347C2×D17—22no—
348C2×D17—22no—
349C2×D17—24no—
350C2×D17—22no—
351C2×D17—22no—
352C2×D17—44no—
353C2×D17—48no—
354C2×D17—48no—
355C2×D17—44no—
356C2×D17—82no—
357C2×D17#56814yes—
358C4×C17—22no—
359C4×C17—22no—
360C4×C17—22no—
361C4×C17—24no—
362Dic17—21no—
363Dic17—21no—
364Dic17—22no—
365Dic17—24no—
366Dic17#51812yes—
367Dic17C2×H(5,𝔽2)12yes—
368C22×#41—171no—
369C24×C4—171no—
370C22×M16—174no—
371C22×M16—172no—
372C22×M16—172no—
373#525—172no—
374#525—174no—
375#525—172no—
376#525—174no—
377#525—172no—
378#525—172no—
379C2×#123—171no—
380C2×#123#59511yescharacteristic
381C2×C22⋊Q8—172no—
382C2×#121—172no—
383C2×#120—171no—
384C2×#120—171no—
385C2×C4×D4—172no—
386C2×C4×D4—172no—
387C2×#117—171no—
388#436—178no—
389#436—178no—
390#435—178no—
391#435—178no—
392#435—178no—
393#435—178no—
394C8×D4—178no—
395C8×D4—178no—
396#433—178no—
397#433—178no—
398#423—174no—
399#408—174no—
400#408—174no—
401#408—174no—
402#408—174no—
403#407—172no—
404#407—172no—
405#407—174no—
406#407—174no—
407#407—174no—
408#407—172no—
409#407—172no—
410C2×C22⋊C8—174no—
411C2×C22⋊C8—174no—
412C4×M16—174no—
413C2×C17—22no—
414C2×C17—41no—
415C2×C17—41no—
416C2×C17—42no—
417C2×C17C2×#51811yescharacteristic
418C2×C17C2×#56812yes—
419D17—24no—
420D17—42no—
421D17—42no—
422C25—171no—
423C2×#41—172no—
424C2×#41—172no—
425C2×#41—172no—
426C2×#41—172no—
427C2×#41—684no—
428C22×Q8—171no—
429C22×D4—172no—
430C22×D4—171no—
431C22×D4—171no—
432C22×D4—172no—
433C22×D4C2×#59511yescharacteristic
434C23×C4—171no—
435C23×C4—171no—
436C23×C4—172no—
437C23×C4—171no—
438C23×C4—172no—
439C23×C4—171no—
440C23×C4—172no—
441C23×C4—171no—
442C23×C4—171no—
443C23×C4—172no—
444C23×C4—171no—
445C23×C4—684no—
446C23×C4C2×#59511yescharacteristic
447C2×M16—174no—
448C2×M16—174no—
449C2×M16—178no—
450C2×M16—174no—
451C2×M16—174no—
452C2×M16—688no—
453C2×M16—684no—
454C2×M16—684no—
455C22×C8—178no—
456C22×C8—174no—
457C22×C8—174no—
458#123—174no—
459#123—172no—
460#123—172no—
461#123C2×#59514yes—
462#123C2×#59512yes—
463#123C2×#59512yes—
464C22⋊Q8—174no—
465C22⋊Q8—174no—
466C22⋊Q8—174no—
467C22⋊Q8—174no—
468#121—174no—
469#121—174no—
470#121—174no—
471#121—174no—
472#120—172no—
473#120—174no—
474#120—172no—
475#120—172no—
476#120—174no—
477#120—172no—
478C4×D4—174no—
479C4×D4—174no—
480C4×D4—174no—
481C4×D4—174no—
482C4×D4—174no—
483C4×D4—174no—
484C4×D4—174no—
485C4×D4—174no—
486#117—172no—
487#117—172no—
488#117—172no—
489#117—172no—
490C2×C4⋊C4—172no—
491C2×C4⋊C4—172no—
492C2×C4⋊C4C2×#59512yes—
493C2×C22⋊C4—171no—
494C2×C22⋊C4—172no—
495C2×C22⋊C4—172no—
496C2×C22⋊C4—172no—
497C2×C22⋊C4C2×#59511yescharacteristic
498C2×C22⋊C4C2×#59512yes—
499C2×C42—172no—
500C4⋊C8—178no—
501C4⋊C8—178no—
502C22⋊C8—178no—
503C22⋊C8—178no—
504C22⋊C8—174no—
505C22⋊C8—174no—
506C22⋊C8—174no—
507C22⋊C8—174no—
508C22⋊C8—178no—
509C22⋊C8—178no—
510#97—178no—
511C4×C8—178no—
512C17#6023111yescharacteristic, complemented, Sylow
513C24—172no—
514C24—171no—
515C24—171no—
516C24—172no—
517C24—171no—
518C24—682no—
519C24—684no—
520C24C22×#59511yescharacteristic
521C24C22×#59511yescharacteristic
522#41—682no—
523#41—682no—
524#41—682no—
525#41—682no—
526#41—684no—
527#41—684no—
528C2×Q8—172no—
529C2×Q8—172no—
530C2×Q8—682no—
531C2×D4—42no—
532C2×D4—174no—
533C2×D4—174no—
534C2×D4—172no—
535C2×D4—172no—
536C2×D4—172no—
537C2×D4—172no—
538C2×D4—174no—
539C2×D4—174no—
540C2×D4—684no—
541C2×D4—682no—
542C2×D4—682no—
543C2×D4—684no—
544C2×D4C22×#59512yes—
545C2×D4C22×#59512yes—
546C22×C4—42no—
547C22×C4—171no—
548C22×C4—171no—
549C22×C4—171no—
550C22×C4—171no—
551C22×C4—171no—
552C22×C4—172no—
553C22×C4—171no—
554C22×C4—171no—
555C22×C4—172no—
556C22×C4—172no—
557C22×C4—172no—
558C22×C4—172no—
559C22×C4—172no—
560C22×C4—172no—
561C22×C4—172no—
562C22×C4—172no—
563C22×C4—172no—
564C22×C4—172no—
565C22×C4—172no—
566C22×C4—172no—
567C22×C4—348no—
568C22×C4—344no—
569C22×C4—344no—
570C22×C4—344no—
571C22×C4—684no—
572C22×C4—682no—
573C22×C4—684no—
574C22×C4—682no—
575C22×C4—682no—
576C22×C4—684no—
577C22×C4—682no—
578C22×C4C22×#59511yescharacteristic
579C22×C4C22×#59512yes—
580C22×C4C22×#59512yes—
581C22×C4C22×#59511yescharacteristic
582C22×C4C22×#59512yes—
583C22×C4C22×#59511yescharacteristic
584M16—348no—
585M16—348no—
586M16—688no—
587M16—684no—
588M16—684no—
589C2×C8—178no—
590C2×C8—178no—
591C2×C8—688no—
592C2×C8—684no—
593C2×C8—684no—
594C4⋊C4—174no—
595C4⋊C4—174no—
596C4⋊C4—174no—
597C4⋊C4—174no—
598C4⋊C4C22×#59514yes—
599C4⋊C4C22×#59514yes—
600C22⋊C4—172no—
601C22⋊C4—172no—
602C22⋊C4—174no—
603C22⋊C4—174no—
604C22⋊C4—174no—
605C22⋊C4—174no—
606C22⋊C4—174no—
607C22⋊C4—174no—
608C22⋊C4C22×#59512yes—
609C22⋊C4C22×#59512yes—
610C22⋊C4C22×#59514yes—
611C22⋊C4C22×#59514yes—
612C42—174no—
613C42—174no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—42no—
618C23—172no—
619C23—172no—
620C23—172no—
621C23—344no—
622C23—344no—
623C23—344no—
624C23—344no—
625C23—342no—
626C23—681no—
627C23—682no—
628C23—681no—
629C23—682no—
630C23—682no—
631C23—682no—
632C23—682no—
633C23—6816no—
634C23C23×#59511yescharacteristic
635C23C23×#59511yescharacteristic
636C23C23×#59512yes—
637C23C23×#59511yescharacteristic
638Q8—682no—
639Q8—682no—
640D4—42no—
641D4—42no—
642D4—348no—
643D4—348no—
644D4—684no—
645D4—682no—
646D4—682no—
647D4—682no—
648D4—682no—
649D4—684no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—174no—
657C2×C4—171no—
658C2×C4—171no—
659C2×C4—174no—
660C2×C4—172no—
661C2×C4—171no—
662C2×C4—171no—
663C2×C4—344no—
664C2×C4—342no—
665C2×C4—344no—
666C2×C4—342no—
667C2×C4—344no—
668C2×C4—344no—
669C2×C4—344no—
670C2×C4—342no—
671C2×C4—342no—
672C2×C4—342no—
673C2×C4—342no—
674C2×C4—342no—
675C2×C4—342no—
676C2×C4—344no—
677C2×C4—342no—
678C2×C4—342no—
679C2×C4—682no—
680C2×C4—682no—
681C2×C4—682no—
682C2×C4—682no—
683C2×C4—682no—
684C2×C4C23×#59514yes—
685C2×C4C23×#59512yes—
686C2×C4C23×#59512yes—
687C2×C4C23×#59512yes—
688C8—348no—
689C8—348no—
690C22—22no—
691C22—21no—
692C22—21no—
693C22—22no—
694C22—24no—
695C22—22no—
696C22—22no—
697C22—44no—
698C22—82no—
699C22—174no—
700C22—342no—
701C22—342no—
702C22—342no—
703C22—342no—
704C22—344no—
705C22—342no—
706C22—342no—
707C22—688no—
708C22—684no—
709C22—688no—
710C22—684no—
711C22—1362no—
712C22#1176387612yes—
713C22C24×#59511yescharacteristic
714C4—22no—
715C4—22no—
716C4—22no—
717C4—24no—
718C4—172no—
719C4—172no—
720C4—341no—
721C4—341no—
722C4—342no—
723C4—344no—
724C2—22no—
725C2—41no—
726C2—41no—
727C2—42no—
728C2—344no—
729C2—682no—
730C2—682no—
731C2C2×#1176387611yescharacteristic
732C2D17⋊#56812yes—
subgroupG/H
center, FrattiniC22C24×#595
commutator, socleC22×C17C24×C4
FittingC2×C17×#123C4
prime radicalC2×#11763317C2
cosocleC2×Dic17C25
hypercenterC2×#123#595
hypocenterC17#60231
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ C2×#123

Complements

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

NH ≅ G/Ntype
1. #14545662C2semidirect
2. #14545658C2semidirect
3. #14545652C2semidirect
4. #14545524C2semidirect
5. #14545522C2semidirect
6. #14545464C2semidirect
7. #14545370C2semidirect
8. #14545368C2semidirect
9. D17⋊#407C2semidirect
12. C2×D17⋊M16C22semidirect
13. C22×#63247C22semidirect
14. #11763843C22semidirect
15. #11763842C22semidirect
16. #11763841C22semidirect
17. #11763839C22semidirect
18. #11763839C22semidirect
19. #11763838C22semidirect
20. #11763837C22semidirect
21. #11763836C22semidirect
22. #11763833C22semidirect
23. #11763833C22semidirect
24. #11763812C22semidirect
25. #11763783C22semidirect
26. #11763783C22semidirect
27. #11763782C22semidirect
28. #11763782C22semidirect
30. #11763781C22semidirect
31. #11763780C22semidirect
32. #11763780C22semidirect
35. #11763779C22semidirect
36. #11763777C22semidirect
37. #11763777C22semidirect
38. C4×#63247C22semidirect
84. C2×#63247C23semidirect
85. C22×#3624C23semidirect
89. C2×#63243C23semidirect
91. C2×#63242C23semidirect
138. C22⋊#3624C23semidirect
139. #10587544C23semidirect
142. #10587543C23semidirect
143. #10587542C23semidirect
144. C4⋊#3624C23semidirect
145. C4×#3624C23semidirect
512. C17#60231semidirect

Maximal subgroups

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

subgroupindex
#145456622
#145456582
#145456522
#145455242
#145455222
#145454642
#145453702
#145453682
D17⋊#4072
C2×#117633172
#6023117