Finite Group Databasebeta

← #17898312

Subgroups — #17898312

Order 4352.

2742 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763576C211yesmaximal, characteristic, complemented
2C2×#11763574C211yesmaximal, characteristic, complemented
3#41×C22⋊D17C211yesmaximal, characteristic
4#14537524C213yesmaximal, complemented
5#14537516C213yesmaximal, complemented
6#14537514C213yesmaximal, complemented
7#14537505C213yesmaximal, complemented
8#14537492C213yesmaximal, complemented
9#14537490C213yesmaximal, complemented
10#14537483C213yesmaximal, complemented
11C2×#11762884C213yesmaximal, complemented
12#14537350C211yesmaximal, characteristic, complemented
13#14537231C211yesmaximal, characteristic, complemented
14#131×Dic17C211yesmaximal, characteristic, complemented
15C17×#2880C211yesmaximal, characteristic, complemented
16C2×#41×D17C2211yescharacteristic
17#11763576—28no—
18#11763574—28no—
19C2×#10587593C2213yescomplemented
20C2×#10587634C2211yescharacteristic
21C2×#10587634C2211yescharacteristic
22C2×#10587634C2213yescomplemented
23C2×#10587634C2213yescomplemented
24C2×#10587587C2213yescomplemented
25C22×#63223C2213yescomplemented
26C22×#63223C2213yescomplemented
27C22×#63218C2213yescomplemented
28C2×M16×D17C2213yescomplemented
29#11763478C411yescharacteristic
30Q8×C22⋊D17C411yescharacteristic
31#11763470C411yescharacteristic
32#11763466C411yescharacteristic
33#11763458C413yes—
34#11763453C413yes—
35#11763447C413yes—
36D4×C22⋊D17C413yes—
37#11763355C2213yes—
38#11763320C2213yes—
39#11763316C2213yes—
40#41×Dic17C2211yescharacteristic
41C2×C4×C22⋊D17C2213yes—
42#11762884C2213yes—
43#11762884C2211yescharacteristic
44#11762884C2213yescomplemented
45#11762884C2216yescomplemented
46#11762884C2213yescomplemented
47#11762884C2213yescomplemented
48#11762884C2213yescomplemented
49#11762884C2213yescomplemented
50#11762884C2213yescomplemented
51#11762883C2216yescomplemented
52#11762883C2216yescomplemented
53#11762877C2216yescomplemented
54#11762877C2216yescomplemented
55#11762872C2216yescomplemented
56#11762872C2216yescomplemented
57#11762837C2213yescomplemented
58#11762835C2213yescomplemented
59#11762832C2213yescomplemented
60C2×#10587485C2213yescomplemented
61#11762777C2213yescomplemented
62#11762775C2213yescomplemented
63#11762772C2213yescomplemented
64C2×#10587491C2213yescomplemented
65#11762767C2213yescomplemented
66#11762764C2213yescomplemented
67M16×Dic17C2213yescomplemented
68C2×C8×Dic17C2213yescomplemented
69C22×#41×C17C2211yescharacteristic
70C2×C17×#131C2211yescharacteristic
71C2×C17×#131C2211yescharacteristic
72C17×#408C2213yescomplemented
73C17×#408C2213yescomplemented
74C17×#407C2213yescomplemented
75C2×C17×C22⋊C8C2213yescomplemented
76C2×#41×C17—24no—
77C2×#41×C17—24no—
78C2×#41×C17C2×C413yes—
79C2×#41×C17C2×C411yescharacteristic
80C2×#41×C17C2313yes—
81C2×#41×C17C2311yescharacteristic
82C22×Q8×C17C2×C411yescharacteristic
83C22×D4×C17C2×C413yes—
84C23×C4×C17C2313yes—
85C22×C22⋊D17C2×C413yes—
86#41×D17—24no—
87#41×D17—24no—
88C2×#63256C2×C411yescharacteristic
89C2×Q8×D17C2×C411yescharacteristic
90C2×#63254C2×C413yes—
91C2×D4×D17C2×C413yes—
92C2×#63252C2313yes—
93C22×C4×D17C2313yes—
94C17×#131—24no—
95C17×#131—24no—
96C2×M16×C17C2313yes—
97C2×M16×C17C2313yes—
98C22×C8×C17C2313yes—
99C22×C8×C17C2313yes—
100#10587639C2×C416yes—
101C2×C22⋊Dic17C2×C413yes—
102#10587634—212no—
103#10587634—212no—
104#10587634—24no—
105#10587634D418yescomplemented
106#10587633C2×C413yes—
107#10587632C2×C413yes—
108#10587632C2×C413yes—
109Q8×Dic17C2×C411yescharacteristic
110Q8×Dic17C2×C411yescharacteristic
111#10587630C2×C413yes—
112#10587626C2×C413yes—
113#10587625C2×C416yes—
114#10587625C2×C416yes—
115#10587624C2×C413yes—
116#10587624C2×C413yes—
117#10587623C2×C416yes—
118#10587622C2×C413yes—
119#10587621C2×C416yes—
120D4×Dic17C2×C413yes—
121D4×Dic17C2×C413yes—
122#10587616C2×C413yes—
123#10587616C2×C413yes—
124#10587615C2×C416yes—
125C4×C22⋊D17C2×C413yes—
126C4×C22⋊D17C2×C413yes—
127C4×C22⋊D17C2×C413yes—
128C4×C22⋊D17C2×C413yes—
129C4×C22⋊D17C2311yescharacteristic
130C4×C22⋊D17C2313yes—
131C4×C22⋊D17C2313yes—
132C4×C22⋊D17C2313yes—
133C4×C22⋊D17C2316yes—
134C2×#63227C2×C413yes—
135#10587612C2313yes—
136#10587610C2×C413yes—
137#10587610C2×C413yes—
138C2×#63225C2×C413yes—
139C2×C4×Dic17C2313yes—
140C2×#63223—212no—
141C2×#63223—212no—
142C2×#63223C2313yes—
143C2×#63223C2313yes—
144C2×#63223C2311yescharacteristic
145C2×#63223C2313yes—
146C2×#63223C2313yes—
147C2×#63223C2313yes—
148C22×#3622C2313yes—
149C22×#3622C2316yes—
150C22×#3622C2313yes—
151#10587593—212no—
152M16×D17—212no—
153#10587587—212no—
154C2×#63218—212no—
155C2×#63218C2313yes—
156C2×#63218C2311yescharacteristic
157C2×#63218C2313yes—
158C2×#63218C2313yes—
159C2×C8×D17C2316yes—
160C17×C22⋊C8C2311yescharacteristic
161C17×C22⋊C8C2313yes—
162C17×C22⋊C8C2313yes—
163C17×C22⋊C8C2313yes—
164C17×C22⋊C8C2316yes—
165#10587491C2311yescharacteristic
166#10587491C2313yes—
167#10587491C2313yes—
168#10587491C2313yes—
169#10587491C2316yes—
170#10587486C2316yes—
171#10587485C2311yescharacteristic
172#10587485C2313yes—
173#10587485C2313yes—
174#10587485C2313yes—
175#10587485C2316yes—
176C8×Dic17C2311yescharacteristic
177C8×Dic17C2313yes—
178C8×Dic17C2313yes—
179C8×Dic17C2313yes—
180C24×C17C22×C413yes—
181C23×D17C22×C413yes—
182#41×C17—24no—
183#41×C17—212no—
184#41×C17—26no—
185#41×C17—26no—
186#41×C17C2×D414yes—
187#41×C17#4114yes—
188C2×Q8×C17—24no—
189C2×Q8×C17C22×C413yes—
190C2×Q8×C17C22×C411yescharacteristic
191C2×D4×C17—212no—
192C2×D4×C17C22×C416yes—
193C2×D4×C17C22×C413yes—
194C2×D4×C17C22×C413yes—
195C22×C4×C17—26no—
196C22×C4×C17—26no—
197C22×C4×C17C22×C413yes—
198C22×C4×C17C22×C413yes—
199C22×C4×C17C22×C413yes—
200C22×C4×C17C2411yescharacteristic
201C22×C4×C17C2413yes—
202C22×C4×C17C2413yes—
203C2×C22⋊D17—46no—
204C2×C22⋊D17C22×C416yes—
205C2×C22⋊D17C22×C411yescharacteristic
206C2×C22⋊D17C22×C413yes—
207C2×C22⋊D17C22×C413yes—
208C2×C22⋊D17C22×C413yes—
209C2×C22⋊D17C22×C416yes—
210C22×Dic17C22×C413yes—
211C22×Dic17C22×C413yes—
212C22×Dic17C22×C413yes—
213#63256—24no—
214Q8×D17—24no—
215#63254—212no—
216D4×D17—212no—
217#63252—26no—
218#63252—26no—
219C2×D68C22×C413yes—
220C2×C4×D17—26no—
221C2×C4×D17—26no—
222C2×C4×D17C22×C413yes—
223C2×C4×D17C22×C413yes—
224C2×C4×D17C2411yescharacteristic
225C2×C4×D17C2413yes—
226C2×Dic34C22×C413yes—
227M16×C17—26no—
228M16×C17—26no—
229C2×C8×C17—26no—
230C2×C8×C17—26no—
231C2×C8×C17C2411yescharacteristic
232C2×C8×C17C2411yescharacteristic
233C2×C8×C17C2413yes—
234C2×C8×C17C2413yes—
235C22⋊Dic17C22×C413yes—
236C22⋊Dic17C22×C416yes—
237C22⋊Dic17C22×C416yes—
238C22⋊Dic17C22×C411yescharacteristic
239C22⋊Dic17C22×C413yes—
240C22⋊Dic17C22×C413yes—
241#63227C22×C411yescharacteristic
242#63227C22×C413yes—
243#63227C22×C413yes—
244#63227C22×C413yes—
245#63227C22×C416yes—
246C4⋊Dic17C22×C413yes—
247C4⋊Dic17C22×C413yes—
248#63225C22×C411yescharacteristic
249#63225C22×C413yes—
250#63225C22×C413yes—
251#63225C22×C413yes—
252#63225C22×C416yes—
253C4×Dic17C22×C413yes—
254C4×Dic17C22×C413yes—
255C4×Dic17C2411yescharacteristic
256C4×Dic17C2413yes—
257#63223—26no—
258#63223—26no—
259#63223—22no—
260#63223—26no—
261#63223—26no—
262#63223C2×D4112yescomplemented
263C2×#3622—26no—
264C2×#3622—212no—
265C2×#3622C2×D4112yescomplemented
266C2×#3622C2411yescharacteristic
267C2×#3622C2413yes—
268C2×#3622C2411yescharacteristic
269C2×#3622C2413yes—
270#63218—22no—
271#63218—26no—
272#63218—26no—
273#63218—26no—
274C8×D17—212no—
275#60147—171nomaximal, Sylow
276C23×C17—26no—
277C23×C17—43no—
278C23×C17—43no—
279C23×C17C23×C411yescharacteristic
280C23×C17C23×C413yes—
281C23×C17C23×C413yes—
282C22×D17—26no—
283C22×D17—43no—
284C22×D17—43no—
285C22×D17C23×C411yescharacteristic
286C22×D17C23×C413yes—
287Q8×C17—26no—
288Q8×C17C4×D414yes—
289D4×C17—212no—
290D4×C17—26no—
291D4×C17C4×D4112yes—
292C2×C4×C17—26no—
293C2×C4×C17—26no—
294C2×C4×C17—26no—
295C2×C4×C17—21no—
296C2×C4×C17—23no—
297C2×C4×C17—21no—
298C2×C4×C17—23no—
299C2×C4×C17C23×C411yescharacteristic
300C2×C4×C17C23×C413yes—
301C2×C4×C17C23×C413yes—
302C2×C4×C17C22×D416yes—
303C2×C4×C17C2×#4116yes—
304C2×C4×C17C2511yescharacteristic
305C22⋊D17—212no—
306C22⋊D17—22no—
307C22⋊D17—26no—
308C22⋊D17—43no—
309C22⋊D17—43no—
310C22⋊D17—46no—
311C2×Dic17—26no—
312C2×Dic17—26no—
313C2×Dic17—43no—
314C2×Dic17C23×C413yes—
315C2×Dic17C23×C411yescharacteristic
316C2×Dic17C23×C411yescharacteristic
317C2×Dic17C23×C413yes—
318C2×Dic17C23×C413yes—
319C2×Dic17C23×C411yescharacteristic
320D68—26no—
321C4×D17—26no—
322C4×D17—26no—
323C4×D17—21no—
324C4×D17—23no—
325C4×D17—21no—
326C4×D17—23no—
327Dic34—26no—
328C8×C17—21no—
329C8×C17—23no—
330C8×C17—21no—
331C8×C17—23no—
332#3622—21no—
333#3622—23no—
334#3622C22×D416yes—
335#3622C22×D412yes—
336C2×#568—171no—
337C2×#568—171no—
338D4×#41—171no—
339#2935—173no—
340D4×M16—173no—
341#2933—173no—
342#2933—173no—
343#2931—173no—
344#2930—173no—
345#2930—173no—
346C2×#436—173no—
347#2906—171no—
348#2880—171no—
349#2880D1711yescharacteristic, complemented
350C4×#131—171no—
351C22×C17—23no—
352C22×C17—23no—
353C22×C17—21no—
354C22×C17—23no—
355C22×C17—21no—
356C22×C17—23no—
357C22×C17—23no—
358C22×C17—21no—
359C22×C17—86no—
360C22×C17C2×C4×D416yes—
361C22×C17C24×C411yescharacteristic
362C2×D17—21no—
363C2×D17—23no—
364C2×D17—21no—
365C2×D17—23no—
366C2×D17—23no—
367C2×D17—21no—
368C2×D17—86no—
369C4×C17—21no—
370C4×C17—23no—
371C4×C17C2×C4×D416yes—
372C4×C17C23×D411yescharacteristic
373C4×C17C22×#4111yescharacteristic
374Dic17—23no—
375Dic17—21no—
376Dic17—23no—
377Dic17—21no—
378Dic17—23no—
379Dic17#56812yescomplemented
380C22×#41—171no—
381C22×#41C2×D1711yescharacteristic
382#568—348no—
383#568—348no—
384C2×#131—171no—
385C2×#131—171no—
386C2×#131—173no—
387C2×#131—173no—
388C2×#131—173no—
389C2×#131—173no—
390C2×#131C2×D1711yescharacteristic
391C2×#131C2×D1711yescharacteristic
392C22×M16—173no—
393C22×M16—173no—
394C22×M16—173no—
395C22×M16—173no—
396#550—171no—
397D4×Q8—171no—
398#548—171no—
399#548—171no—
400#547—173no—
401#546—173no—
402#546—173no—
403D42—173no—
404#532—173no—
405#525—173no—
406#525—173no—
407C4×#41—171no—
408C2×C4×D4—173no—
409#436—171no—
410#436—173no—
411#436—173no—
412#436—173no—
413#436—173no—
414#436—173no—
415#436—173no—
416#436—173no—
417#436—176no—
418#435—176no—
419#435—176no—
420#435—176no—
421#435—176no—
422C8×D4—176no—
423C8×D4—176no—
424#424—173no—
425#424—173no—
426#423—173no—
427C2×C4⋊C8—173no—
428#408—173no—
429#408—173no—
430#408C2×D1713yescomplemented
431#408C2×D1713yescomplemented
432#407—173no—
433#407C2×D1713yescomplemented
434C2×C22⋊C8—173no—
435C2×C22⋊C8C2×D1713yescomplemented
436#405—173no—
437#405—173no—
438C4×M16—173no—
439C2×C4×C8—173no—
440C2×C17—26no—
441C2×C17—43no—
442C2×C17—41no—
443C2×C17C22×C4×D411yescharacteristic
444C2×C17C2×#56811yescharacteristic
445C2×C17#357311yescharacteristic
446D17—43no—
447D17—41no—
448C2×#41—24no—
449C2×#41—24no—
450C2×#41—171no—
451C2×#41—173no—
452C2×#41—173no—
453C2×#41—344no—
454C2×#41—344no—
455C2×#41C4×D1713yes—
456C2×#41C4×D1711yescharacteristic
457C2×#41C22×D1713yes—
458C2×#41C22×D1711yescharacteristic
459C22×Q8—171no—
460C22×Q8C4×D1711yescharacteristic
461C22×D4—173no—
462C22×D4—173no—
463C22×D4C4×D1713yes—
464C23×C4—173no—
465C23×C4C22×D1713yes—
466#131—24no—
467#131—24no—
468#131—178no—
469#131—3412no—
470#131—3412no—
471#131—3412no—
472#131—3412no—
473#131—344no—
474C2×M16—173no—
475C2×M16—173no—
476C2×M16—171no—
477C2×M16—173no—
478C2×M16—173no—
479C2×M16—173no—
480C2×M16—173no—
481C2×M16—171no—
482C2×M16—173no—
483C2×M16—173no—
484C2×M16—3412no—
485C2×M16—3412no—
486C2×M16—3412no—
487C2×M16—3412no—
488C2×M16C22×D1713yes—
489C2×M16C22×D1713yes—
490C22×C8—173no—
491C22×C8—173no—
492C22×C8—176no—
493C22×C8—176no—
494C22×C8C22×D1713yes—
495C22×C8C22×D1713yes—
496C4⋊Q8—173no—
497#127—173no—
498#124—173no—
499#124—173no—
500#123—176no—
501#123—176no—
502C22⋊Q8—173no—
503C22⋊Q8—173no—
504C22⋊Q8—173no—
505C22⋊Q8—173no—
506#121—173no—
507#121—173no—
508#121—176no—
509#121—176no—
510#121—173no—
511#121—173no—
512#120—176no—
513#120—176no—
514C4×Q8—171no—
515C4×Q8—171no—
516C4×D4—173no—
517C4×D4—173no—
518C4×D4—173no—
519C4×D4—173no—
520C4×D4—173no—
521C4×D4—173no—
522C4×D4—171no—
523C4×D4—173no—
524C4×D4—173no—
525C4×D4—173no—
526C4×D4—176no—
527#117—173no—
528C2×C4⋊C4—173no—
529C2×C22⋊C4—173no—
530C2×C22⋊C4—173no—
531C2×C42—173no—
532C4⋊C8—171no—
533C4⋊C8—173no—
534C4⋊C8—173no—
535C4⋊C8—173no—
536C4⋊C8—176no—
537C22⋊C8—171no—
538C22⋊C8—173no—
539C22⋊C8—173no—
540C22⋊C8—173no—
541C22⋊C8—176no—
542C22⋊C8C22×D1711yescharacteristic
543C22⋊C8C22×D1713yes—
544C22⋊C8C22×D1713yes—
545C22⋊C8C22×D1713yes—
546C22⋊C8C22×D1716yes—
547#97—176no—
548C4×C8—171no—
549C4×C8—173no—
550C4×C8—173no—
551C4×C8—173no—
552C17#6014711yescharacteristic, complemented, Sylow
553C24—173no—
554C24C2×C4×D1713yes—
555#41—24no—
556#41—212no—
557#41—26no—
558#41—26no—
559#41—344no—
560#41—3412no—
561#41—346no—
562#41—346no—
563#41D4×D1714yes—
564#41#6325414yes—
565C2×Q8—24no—
566C2×Q8—173no—
567C2×Q8—344no—
568C2×Q8C2×C4×D1713yes—
569C2×Q8C2×C4×D1711yescharacteristic
570C2×D4—212no—
571C2×D4—171no—
572C2×D4—173no—
573C2×D4—176no—
574C2×D4—173no—
575C2×D4—173no—
576C2×D4—176no—
577C2×D4—173no—
578C2×D4—3412no—
579C2×D4—686no—
580C2×D4C2×C4×D1716yes—
581C2×D4C2×C4×D1713yes—
582C2×D4C2×C4×D1713yes—
583C22×C4—26no—
584C22×C4—26no—
585C22×C4—173no—
586C22×C4—173no—
587C22×C4—173no—
588C22×C4—173no—
589C22×C4—173no—
590C22×C4—173no—
591C22×C4—171no—
592C22×C4—346no—
593C22×C4—346no—
594C22×C4C2×C4×D1713yes—
595C22×C4C2×C4×D1713yes—
596C22×C4C2×C4×D1713yes—
597C22×C4C23×D1713yes—
598C22×C4C23×D1711yescharacteristic
599C22×C4C23×D1713yes—
600M16—26no—
601M16—26no—
602M16—1712no—
603M16—342no—
604M16—346no—
605M16—346no—
606M16—346no—
607M16—342no—
608M16—346no—
609M16—346no—
610M16—346no—
611M16—346no—
612C2×C8—26no—
613C2×C8—26no—
614C2×C8—1712no—
615C2×C8—171no—
616C2×C8—173no—
617C2×C8—171no—
618C2×C8—173no—
619C2×C8—3412no—
620C2×C8—3412no—
621C2×C8—346no—
622C2×C8C23×D1711yescharacteristic
623C2×C8C23×D1713yes—
624C2×C8C23×D1713yes—
625C2×C8C23×D1711yescharacteristic
626C4⋊C4—171no—
627C4⋊C4—173no—
628C4⋊C4—173no—
629C4⋊C4—173no—
630C4⋊C4—173no—
631C4⋊C4—173no—
632C4⋊C4—176no—
633C22⋊C4—171no—
634C22⋊C4—173no—
635C22⋊C4—173no—
636C22⋊C4—173no—
637C22⋊C4—176no—
638C22⋊C4—176no—
639C22⋊C4—171no—
640C22⋊C4—173no—
641C22⋊C4—173no—
642C22⋊C4—173no—
643C22⋊C4—176no—
644C42—173no—
645C42—173no—
646C42—171no—
647C42—173no—
648C23—26no—
649C23—43no—
650C23—43no—
651C23—171no—
652C23—173no—
653C23—346no—
654C23—683no—
655C23—683no—
656C23C22×C4×D1711yescharacteristic
657C23C22×C4×D1713yes—
658C23C22×C4×D1713yes—
659Q8—26no—
660Q8—346no—
661Q8#1058756714yes—
662D4—212no—
663D4—26no—
664D4—342no—
665D4—346no—
666D4—3412no—
667D4—346no—
668D4—683no—
669D4—683no—
670D4—686no—
671D4#10587567112yes—
672C2×C4—26no—
673C2×C4—26no—
674C2×C4—26no—
675C2×C4—23no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—23no—
679C2×C4—171no—
680C2×C4—171no—
681C2×C4—173no—
682C2×C4—173no—
683C2×C4—171no—
684C2×C4—173no—
685C2×C4—346no—
686C2×C4—346no—
687C2×C4—346no—
688C2×C4—346no—
689C2×C4—343no—
690C2×C4—341no—
691C2×C4—341no—
692C2×C4—343no—
693C2×C4—683no—
694C2×C4C22×C4×D1711yescharacteristic
695C2×C4C22×C4×D1713yes—
696C2×C4C22×C4×D1713yes—
697C2×C4C2×D4×D1716yes—
698C2×C4C2×#6325416yes—
699C2×C4C24×D1711yescharacteristic
700C8—21no—
701C8—23no—
702C8—21no—
703C8—23no—
704C8—172no—
705C8—176no—
706C8—343no—
707C8—341no—
708C22—23no—
709C22—23no—
710C22—21no—
711C22—23no—
712C22—21no—
713C22—23no—
714C22—23no—
715C22—21no—
716C22—86no—
717C22—341no—
718C22—343no—
719C22—341no—
720C22—343no—
721C22—343no—
722C22—341no—
723C22—1366no—
724C22C2×#1058756716yes—
725C22C23×C4×D1711yescharacteristic
726C4—21no—
727C4—23no—
728C4—172no—
729C4—341no—
730C4—343no—
731C4—343no—
732C4—341no—
733C4—343no—
734C4C2×#1058756716yes—
735C4C22×D4×D1711yescharacteristic
736C4C22×#6325411yescharacteristic
737C2—26no—
738C2—41no—
739C2—43no—
740C2—681no—
741C2—683no—
742C2C22×#1058756711yescharacteristic
743C2D17×#56811yescharacteristic
744C2#1454349511yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D17
commutator, socleC22×C17C24×C4
FittingC17×#2880C2
prime radical#41×C22⋊D17C2
cosocleC2×C4×C17C25
hypercenter#2880D17
hypocenterC17#60147
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2880

Complements

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

NH ≅ G/Ntype
1. C2×#11763576C2semidirect
2. C2×#11763574C2semidirect
4. #14537524C2semidirect
5. #14537516C2semidirect
6. #14537514C2semidirect
7. #14537505C2semidirect
8. #14537492C2semidirect
9. #14537490C2semidirect
10. #14537483C2semidirect
11. C2×#11762884C2semidirect
12. #14537350C2semidirect
13. #14537231C2semidirect
14. #131×Dic17C2semidirect
15. C17×#2880C2semidirect
19. C2×#10587593C22semidirect
22. C2×#10587634C22semidirect
23. C2×#10587634C22semidirect
24. C2×#10587587C22semidirect
25. C22×#63223C22semidirect
26. C22×#63223C22semidirect
27. C22×#63218C22semidirect
28. C2×M16×D17C22semidirect
44. #11762884C22semidirect
45. #11762884C22semidirect
46. #11762884C22semidirect
47. #11762884C22semidirect
48. #11762884C22semidirect
49. #11762884C22semidirect
50. #11762884C22semidirect
51. #11762883C22semidirect
52. #11762883C22semidirect
53. #11762877C22semidirect
54. #11762877C22semidirect
55. #11762872C22semidirect
56. #11762872C22semidirect
57. #11762837C22semidirect
58. #11762835C22semidirect
59. #11762832C22semidirect
60. C2×#10587485C22semidirect
61. #11762777C22semidirect
62. #11762775C22semidirect
63. #11762772C22semidirect
64. C2×#10587491C22semidirect
65. #11762767C22semidirect
66. #11762764C22semidirect
67. M16×Dic17C22semidirect
68. C2×C8×Dic17C22semidirect
72. C17×#408C22semidirect
73. C17×#408C22semidirect
74. C17×#407C22semidirect
75. C2×C17×C22⋊C8C22semidirect
105. #10587634D4semidirect
262. #63223C2×D4semidirect
265. C2×#3622C2×D4semidirect
349. #2880D17semidirect
379. Dic17#568semidirect
430. #408C2×D17semidirect
431. #408C2×D17semidirect
433. #407C2×D17semidirect
435. C2×C22⋊C8C2×D17semidirect
552. C17#60147semidirect

Maximal subgroups

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

subgroupindex
C2×#117635762
C2×#117635742
#41×C22⋊D172
#145375242
#145375162
#145375142
#145375052
#145374922
#145374902
#145374832
C2×#117628842
#145373502
#145372312
#131×Dic172
C17×#28802
#6014717