Finite Group Databasebeta

← #17898307

Subgroups — #17898307

Order 4352.

2756 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×#11763574C211yesmaximal, characteristic, complemented
2C2×#131×D17C211yesmaximal, characteristic, complemented
3#41×D68C211yesmaximal, characteristic
4#14537530C213yesmaximal, complemented
5M16×D68C213yesmaximal, complemented
6#14537512C213yesmaximal, complemented
7#14537512C213yesmaximal, complemented
8#14537503C213yesmaximal, complemented
9#14537489C213yesmaximal, complemented
10#14537480C213yesmaximal, complemented
11C2×#11762882C213yesmaximal, complemented
12#14537352C211yesmaximal, characteristic, complemented
13#14537231C211yesmaximal, characteristic, complemented
14#14537231C211yesmaximal, characteristic, complemented
15C17×#2875C211yesmaximal, characteristic, complemented
16C2×#41×D17C2211yescharacteristic
17C2×#41×D17C2211yescharacteristic
18#11763574—28no—
19C2×#10587593C2213yescomplemented
20C2×#10587593C2213yescomplemented
21C2×#10587634C2211yescharacteristic
22C2×#10587634C2211yescharacteristic
23C2×#10587587C2213yescomplemented
24C2×#10587587C2213yescomplemented
25#131×D17—28no—
26C22×#63218C2213yescomplemented
27C2×M16×D17C2213yescomplemented
28C2×M16×D17C2213yescomplemented
29C22×C8×D17C2213yescomplemented
30#11763481C411yescharacteristic
31Q8×D68C411yescharacteristic
32#11763471C411yescharacteristic
33#11763471C411yescharacteristic
34#11763463C413yes—
35#11763454C413yes—
36#11763454C413yes—
37D4×D68C413yes—
38#11763359C2213yes—
39#11763321C2213yes—
40#11763321C2213yes—
41C2×C4×D68C2213yes—
42#11762888C2216yescomplemented
43#11762888C2216yescomplemented
44#11762882C2213yes—
45#11762882C2211yescharacteristic
46#11762882C2213yescomplemented
47#11762882C2216yescomplemented
48#11762882C2213yescomplemented
49#11762882C2213yescomplemented
50#11762882C2216yescomplemented
51#11762882C2216yescomplemented
52#11762882C2213yescomplemented
53#11762882C2213yescomplemented
54#11762882C2213yescomplemented
55C8×D68C2216yescomplemented
56C8×D68C2216yescomplemented
57#11762836C2213yescomplemented
58#11762836C2213yescomplemented
59#11762833C2213yescomplemented
60C2×C4⋊#3622C2213yescomplemented
61#11762777C2213yescomplemented
62#11762777C2213yescomplemented
63#11762775C2213yescomplemented
64#11762775C2213yescomplemented
65#11762772C2213yescomplemented
66#11762772C2213yescomplemented
67C2×#10587491C2213yescomplemented
68C2×#10587491C2213yescomplemented
69C2×C17×#131C2211yescharacteristic
70C2×C17×#131C2211yescharacteristic
71C4×#41×C17C2211yescharacteristic
72C17×#405C2213yescomplemented
73C17×#405C2213yescomplemented
74C4×M16×C17C2213yescomplemented
75C2×C17×#97C2213yescomplemented
76C2×#41×C17C2311yescharacteristic
77#41×D17—24no—
78#41×D17—24no—
79#41×D17—24no—
80#41×D17—24no—
81C2×#63256C2×C411yescharacteristic
82C2×#63256C2×C411yescharacteristic
83C2×Q8×D17C2×C411yescharacteristic
84C2×Q8×D17C2×C411yescharacteristic
85C2×#63254C2×C413yes—
86C2×#63254C2×C413yes—
87C2×D4×D17C2×C413yes—
88C2×D4×D17C2×C413yes—
89C2×#63252C2313yes—
90C2×#63252C2313yes—
91C22×D68C2×C413yes—
92C22×C4×D17C2313yes—
93C22×C4×D17C2313yes—
94C17×#131—24no—
95C17×#131D418yescomplemented
96C2×M16×C17C2313yes—
97C2×M16×C17C2313yes—
98C22×C8×C17C2313yes—
99C22×C8×C17C2313yes—
100C4×Q8×C17C2×C411yescharacteristic
101C4×Q8×C17C2×C411yescharacteristic
102C4×D4×C17C2×C413yes—
103C4×D4×C17C2×C413yes—
104C17×#117C2313yes—
105C2×C42×C17C2313yes—
106#10587634—24no—
107#10587634—24no—
108#10587616C2×C416yes—
109#10587616C2×C416yes—
110C2×#63227C2×C413yes—
111C2×#63227C2×C413yes—
112C2×C4⋊Dic17C2×C413yes—
113C2×#63223C2313yes—
114C2×#63223C2313yes—
115C22×#3622C2313yes—
116C22×#3622C2313yes—
117#10587593—212no—
118#10587593—212no—
119M16×D17—212no—
120M16×D17—212no—
121#10587587—212no—
122#10587587—212no—
123C2×#63218—212no—
124C2×#63218C2313yes—
125C2×#63218C2316yes—
126C2×#63218C2311yescharacteristic
127C2×#63218C2313yes—
128C2×#63218C2313yes—
129C2×C8×D17—212no—
130C2×C8×D17C2311yescharacteristic
131C2×C8×D17C2313yes—
132C2×C8×D17C2313yes—
133C2×C8×D17C2313yes—
134C2×C8×D17C2316yes—
135#10587583C2×C413yes—
136#10587583C2×C413yes—
137#10587583C2×C413yes—
138#10587583C2×C413yes—
139#10587581C2×C413yes—
140#10587581C2×C413yes—
141#10587581C2×C413yes—
142#10587581C2×C413yes—
143#10587572C2×C416yes—
144#10587572C2×C416yes—
145#10587568C2×C416yes—
146#10587568C2×C416yes—
147#10587561C2×C413yes—
148#10587561C2×C413yes—
149#10587560C2×C413yes—
150C4×D68C2×C413yes—
151C4×D68C2×C413yes—
152C4×D68C2×C413yes—
153C4×D68C2×C413yes—
154C4×D68C2311yescharacteristic
155C4×D68C2313yes—
156C4×D68C2313yes—
157C4×D68C2313yes—
158C4×D68C2316yes—
159#10587555C2×C413yes—
160C17×#97C2311yescharacteristic
161C17×#97C2313yes—
162C17×#97C2313yes—
163C17×#97C2313yes—
164C4×C8×C17C2316yes—
165#10587491C2311yescharacteristic
166#10587491C2311yescharacteristic
167#10587491C2313yes—
168#10587491C2313yes—
169#10587491C2313yes—
170#10587491C2313yes—
171#10587491C2313yes—
172#10587491C2313yes—
173#10587491C2316yes—
174#10587491C2316yes—
175C4⋊#3622C2311yescharacteristic
176C4⋊#3622C2313yes—
177C4⋊#3622C2313yes—
178C4⋊#3622C2313yes—
179C4⋊#3622C2316yes—
180C23×D17C22×C413yes—
181C23×D17C22×C413yes—
182#41×C17C2×D414yes—
183#41×C17#4114yes—
184C2×Q8×C17C22×C411yescharacteristic
185C2×D4×C17C22×C413yes—
186C22×C4×C17C22×C413yes—
187C22×C4×C17C22×C413yes—
188C22×C4×C17C2413yes—
189C2×C22⋊D17C22×C416yes—
190C2×C22⋊D17C22×C416yes—
191C22×Dic17C22×C413yes—
192C22×Dic17C22×C413yes—
193#63256—24no—
194#63256—24no—
195Q8×D17—24no—
196Q8×D17—24no—
197#63254—212no—
198#63254—212no—
199D4×D17—212no—
200D4×D17—212no—
201#63252—26no—
202#63252—26no—
203#63252—26no—
204#63252—26no—
205C2×D68—46no—
206C2×D68C22×C411yescharacteristic
207C2×D68C22×C413yes—
208C2×D68C22×C413yes—
209C2×D68C22×C413yes—
210C2×D68C22×C413yes—
211C2×D68C22×C413yes—
212C2×D68C22×C416yes—
213C2×C4×D17—26no—
214C2×C4×D17—26no—
215C2×C4×D17—26no—
216C2×C4×D17—26no—
217C2×C4×D17C22×C413yes—
218C2×C4×D17C22×C413yes—
219C2×C4×D17C22×C413yes—
220C2×C4×D17C22×C413yes—
221C2×C4×D17C2411yescharacteristic
222C2×C4×D17C2411yescharacteristic
223C2×C4×D17C2413yes—
224C2×C4×D17C2413yes—
225C2×Dic34C22×C413yes—
226C2×Dic34C22×C413yes—
227M16×C17—26no—
228M16×C17C2×D4112yescomplemented
229C2×C8×C17—26no—
230C2×C8×C17C2×D4112yescomplemented
231C2×C8×C17C2411yescharacteristic
232C2×C8×C17C2413yes—
233C2×C8×C17C2411yescharacteristic
234C2×C8×C17C2413yes—
235C4⋊C4×C17C22×C413yes—
236C4⋊C4×C17C22×C413yes—
237C22⋊C4×C17C22×C416yes—
238C42×C17C22×C413yes—
239C42×C17C22×C413yes—
240C42×C17C2413yes—
241C42×C17C2411yescharacteristic
242#63227C22×C411yescharacteristic
243#63227C22×C411yescharacteristic
244#63227C22×C413yes—
245#63227C22×C413yes—
246#63227C22×C413yes—
247#63227C22×C413yes—
248#63227C22×C413yes—
249#63227C22×C413yes—
250#63227C22×C416yes—
251#63227C22×C416yes—
252C4⋊Dic17C22×C413yes—
253C4⋊Dic17C22×C416yes—
254C4⋊Dic17C22×C411yescharacteristic
255C4⋊Dic17C22×C413yes—
256C4⋊Dic17C22×C413yes—
257#63223—26no—
258#63223—26no—
259C2×#3622—26no—
260C2×#3622—26no—
261C2×#3622C2411yescharacteristic
262C2×#3622C2413yes—
263C2×#3622C2413yes—
264C2×#3622C2411yescharacteristic
265#63218—22no—
266#63218—26no—
267#63218—26no—
268#63218—26no—
269#63218—212no—
270C8×D17—22no—
271C8×D17—26no—
272C8×D17—26no—
273C8×D17—26no—
274C8×D17—212no—
275#60146—171nomaximal, Sylow
276C23×C17C23×C413yes—
277C22×D17—26no—
278C22×D17—26no—
279C22×D17—26no—
280C22×D17—43no—
281C22×D17—43no—
282C22×D17—43no—
283C22×D17C23×C411yescharacteristic
284C22×D17C23×C413yes—
285C22×D17C23×C413yes—
286C22×D17C23×C411yescharacteristic
287Q8×C17C4×D414yes—
288D4×C17C4×D4112yes—
289C2×C4×C17—43no—
290C2×C4×C17—43no—
291C2×C4×C17C23×C411yescharacteristic
292C2×C4×C17C23×C411yescharacteristic
293C2×C4×C17C23×C413yes—
294C2×C4×C17C23×C413yes—
295C2×C4×C17C23×C413yes—
296C2×C4×C17C22×D416yes—
297C2×C4×C17C2×#4116yes—
298C2×C4×C17C2511yescharacteristic
299C22⋊D17—212no—
300C22⋊D17—212no—
301C2×Dic17—26no—
302C2×Dic17—26no—
303C2×Dic17C23×C413yes—
304C2×Dic17C23×C413yes—
305C2×Dic17C23×C411yescharacteristic
306C2×Dic17C23×C411yescharacteristic
307D68—22no—
308D68—26no—
309D68—26no—
310D68—26no—
311D68—43no—
312D68—43no—
313D68—46no—
314C4×D17—26no—
315C4×D17—26no—
316C4×D17—26no—
317C4×D17—26no—
318C4×D17—21no—
319C4×D17—21no—
320C4×D17—23no—
321C4×D17—23no—
322C4×D17—21no—
323C4×D17—21no—
324C4×D17—23no—
325C4×D17—23no—
326Dic34—26no—
327Dic34—26no—
328C8×C17—21no—
329C8×C17—23no—
330C8×C17C22×D412yes—
331C8×C17C22×D416yes—
332#3622—21no—
333#3622—23no—
334#3622—23no—
335#3622—21no—
336C2×#568—171no—
337C22×#131—171no—
338D4×#41—171no—
339#2935—173no—
340D4×M16—173no—
341#2933—173no—
342#2933—173no—
343#2932—173no—
344#2930—173no—
345#2929—173no—
346C2×#435—173no—
347#2906—171no—
348#2880—171no—
349#2880—171no—
350#2875D1711yescharacteristic, complemented
351C22×C17—23no—
352C22×C17—23no—
353C22×C17C2×C4×D416yes—
354C22×C17C24×C411yescharacteristic
355C2×D17—21no—
356C2×D17—21no—
357C2×D17—21no—
358C2×D17—23no—
359C2×D17—23no—
360C2×D17—21no—
361C2×D17—23no—
362C2×D17—23no—
363C2×D17—23no—
364C2×D17—23no—
365C2×D17—21no—
366C2×D17—412no—
367C2×D17—86no—
368C2×D17#56812yescomplemented
369C4×C17—21no—
370C4×C17—23no—
371C4×C17—23no—
372C4×C17—21no—
373C4×C17C2×C4×D416yes—
374C4×C17C23×D411yescharacteristic
375C4×C17C22×#4111yescharacteristic
376Dic17—23no—
377Dic17—23no—
378Dic17—21no—
379Dic17—21no—
380C22×#41—171no—
381C22×#41—171no—
382#568—348no—
383C2×#131—171no—
384C2×#131—171no—
385C2×#131—173no—
386C2×#131—173no—
387C2×#131—173no—
388C2×#131—173no—
389C2×#131—348no—
390C2×#131C2×D1711yescharacteristic
391C2×#131C2×D1711yescharacteristic
392C22×M16—173no—
393C22×M16—173no—
394C22×M16—173no—
395C23×C8—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×#41C2×D1711yescharacteristic
408C2×C4×D4—173no—
409#436—176no—
410#436—176no—
411#435—171no—
412#435—173no—
413#435—173no—
414#435—173no—
415#435—173no—
416#435—173no—
417#435—173no—
418#435—173no—
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#408—173no—
431#408—173no—
432#407—173no—
433#407—173no—
434C2×C22⋊C8—173no—
435C2×C22⋊C8—173no—
436#405C2×D1713yescomplemented
437#405C2×D1713yescomplemented
438C4×M16C2×D1713yescomplemented
439C2×#97C2×D1713yescomplemented
440C2×C17—26no—
441C2×C17C22×C4×D411yescharacteristic
442C2×C17C2×#56811yescharacteristic
443C2×C17#357311yescharacteristic
444D17—22no—
445D17—43no—
446D17—43no—
447D17—41no—
448C2×#41—171no—
449C2×#41—171no—
450C2×#41—173no—
451C2×#41—173no—
452C2×#41—173no—
453C2×#41—173no—
454C2×#41—344no—
455C2×#41—344no—
456C2×#41—344no—
457C2×#41—344no—
458C2×#41C22×D1711yescharacteristic
459C22×Q8—171no—
460C22×Q8—171no—
461C22×D4—173no—
462C22×D4—173no—
463C22×D4—173no—
464C23×C4—173no—
465C23×C4—173no—
466#131—24no—
467#131—344no—
468#131—344no—
469#131—3412no—
470#131—3412no—
471#131—3412no—
472#131—3412no—
473#131D6818yescomplemented
474C2×M16—173no—
475C2×M16—173no—
476C2×M16—171no—
477C2×M16—173no—
478C2×M16—173no—
479C2×M16—176no—
480C2×M16—173no—
481C2×M16—3412no—
482C2×M16—3412no—
483C2×M16—3412no—
484C2×M16C22×D1713yes—
485C2×M16C22×D1713yes—
486C22×C8—173no—
487C22×C8—173no—
488C22×C8—171no—
489C22×C8—173no—
490C22×C8—173no—
491C22×C8—173no—
492C22×C8—176no—
493C22×C8—3412no—
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—176no—
507#121—176no—
508#121—173no—
509#121—173no—
510#121—173no—
511#121—173no—
512#120—176no—
513#120—176no—
514C4×Q8C4×D1711yescharacteristic
515C4×Q8C4×D1711yescharacteristic
516C4×D4—173no—
517C4×D4—173no—
518C4×D4—173no—
519C4×D4—173no—
520C4×D4—171no—
521C4×D4—173no—
522C4×D4—173no—
523C4×D4—173no—
524C4×D4—176no—
525C4×D4C4×D1713yes—
526C4×D4C4×D1713yes—
527#117C22×D1713yes—
528C2×C4⋊C4—173no—
529C2×C22⋊C4—173no—
530C2×C22⋊C4—173no—
531C2×C42C22×D1713yes—
532C4⋊C8—171no—
533C4⋊C8—173no—
534C4⋊C8—173no—
535C4⋊C8—173no—
536C4⋊C8—176no—
537C22⋊C8—171no—
538C22⋊C8—171no—
539C22⋊C8—173no—
540C22⋊C8—173no—
541C22⋊C8—173no—
542C22⋊C8—173no—
543C22⋊C8—173no—
544C22⋊C8—173no—
545C22⋊C8—176no—
546C22⋊C8—176no—
547#97C22×D1711yescharacteristic
548#97C22×D1713yes—
549#97C22×D1713yes—
550#97C22×D1713yes—
551C4×C8C22×D1716yes—
552C17#6014611yescharacteristic, complemented, Sylow
553C24—173no—
554C24—173no—
555#41—344no—
556#41—344no—
557#41—3412no—
558#41—3412no—
559#41—346no—
560#41—346no—
561#41—346no—
562#41—346no—
563#41C2×D6814yes—
564#41#6325214yes—
565C2×Q8—173no—
566C2×Q8—173no—
567C2×Q8—344no—
568C2×Q8—344no—
569C2×Q8C2×C4×D1711yescharacteristic
570C2×D4—176no—
571C2×D4—176no—
572C2×D4—171no—
573C2×D4—173no—
574C2×D4—173no—
575C2×D4—173no—
576C2×D4—173no—
577C2×D4—173no—
578C2×D4—176no—
579C2×D4—3412no—
580C2×D4—3412no—
581C2×D4—686no—
582C2×D4C2×C4×D1713yes—
583C22×C4—173no—
584C22×C4—173no—
585C22×C4—173no—
586C22×C4—173no—
587C22×C4—173no—
588C22×C4—173no—
589C22×C4—171no—
590C22×C4—173no—
591C22×C4—173no—
592C22×C4—171no—
593C22×C4—346no—
594C22×C4—346no—
595C22×C4—346no—
596C22×C4—346no—
597C22×C4C2×C4×D1713yes—
598C22×C4C2×C4×D1713yes—
599C22×C4C23×D1713yes—
600M16—26no—
601M16—346no—
602M16—346no—
603M16—342no—
604M16—346no—
605M16—346no—
606M16—3412no—
607M16—346no—
608M16C2×D68112yescomplemented
609C2×C8—26no—
610C2×C8—171no—
611C2×C8—171no—
612C2×C8—173no—
613C2×C8—173no—
614C2×C8—346no—
615C2×C8—346no—
616C2×C8—342no—
617C2×C8—346no—
618C2×C8—346no—
619C2×C8—346no—
620C2×C8—3412no—
621C2×C8C2×D68112yescomplemented
622C2×C8C23×D1713yes—
623C2×C8C23×D1711yescharacteristic
624C2×C8C23×D1713yes—
625C2×C8C23×D1711yescharacteristic
626C4⋊C4—171no—
627C4⋊C4—173no—
628C4⋊C4—173no—
629C4⋊C4—173no—
630C4⋊C4—176no—
631C4⋊C4C2×C4×D1713yes—
632C4⋊C4C2×C4×D1713yes—
633C22⋊C4—171no—
634C22⋊C4—171no—
635C22⋊C4—173no—
636C22⋊C4—173no—
637C22⋊C4—173no—
638C22⋊C4—173no—
639C22⋊C4—173no—
640C22⋊C4—173no—
641C22⋊C4—176no—
642C22⋊C4—176no—
643C22⋊C4C2×C4×D1716yes—
644C42C2×C4×D1713yes—
645C42C2×C4×D1713yes—
646C42C23×D1713yes—
647C42C23×D1711yescharacteristic
648C23—171no—
649C23—171no—
650C23—173no—
651C23—173no—
652C23—346no—
653C23—346no—
654C23—346no—
655C23—683no—
656C23—683no—
657C23—683no—
658C23C22×C4×D1713yes—
659Q8—346no—
660Q8—346no—
661Q8C4×D6814yes—
662D4—342no—
663D4—346no—
664D4—3412no—
665D4—3412no—
666D4—346no—
667D4—346no—
668D4—683no—
669D4—683no—
670D4—686no—
671D4C4×D68112yes—
672C2×C4—43no—
673C2×C4—43no—
674C2×C4—171no—
675C2×C4—171no—
676C2×C4—173no—
677C2×C4—173no—
678C2×C4—346no—
679C2×C4—346no—
680C2×C4—346no—
681C2×C4—346no—
682C2×C4—346no—
683C2×C4—346no—
684C2×C4—341no—
685C2×C4—343no—
686C2×C4—343no—
687C2×C4—341no—
688C2×C4—341no—
689C2×C4—341no—
690C2×C4—343no—
691C2×C4—343no—
692C2×C4C22×C4×D1711yescharacteristic
693C2×C4C22×C4×D1711yescharacteristic
694C2×C4C22×C4×D1713yes—
695C2×C4C22×C4×D1713yes—
696C2×C4C22×C4×D1713yes—
697C2×C4C22×D6816yes—
698C2×C4C2×#6325216yes—
699C2×C4C24×D1711yescharacteristic
700C8—21no—
701C8—23no—
702C8—341no—
703C8—343no—
704C8—341no—
705C8—343no—
706C8C22×D6812yes—
707C8C22×D6816yes—
708C22—23no—
709C22—23no—
710C22—172no—
711C22—341no—
712C22—341no—
713C22—341no—
714C22—343no—
715C22—343no—
716C22—341no—
717C22—343no—
718C22—343no—
719C22—343no—
720C22—343no—
721C22—341no—
722C22—6812no—
723C22—1366no—
724C22C2×C4×D6816yes—
725C22C23×C4×D1711yescharacteristic
726C4—21no—
727C4—23no—
728C4—21no—
729C4—23no—
730C4—341no—
731C4—341no—
732C4—343no—
733C4—343no—
734C4C2×C4×D6816yes—
735C4C23×D6811yescharacteristic
736C4C22×#6325211yescharacteristic
737C2—26no—
738C2—342no—
739C2—683no—
740C2—681no—
741C2—683no—
742C2C22×C4×D6811yescharacteristic
743C2D17×#56811yescharacteristic
744C2#1454349711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D17
commutator, socleC22×C17C24×C4
FittingC17×#2875C2
prime radical#41×D68C2
cosocleC2×C4×C17C25
hypercenter#2875D17
hypocenterC17#60146
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2875

Complements

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

NH ≅ G/Ntype
1. C2×#11763574C2semidirect
2. C2×#131×D17C2semidirect
4. #14537530C2semidirect
5. M16×D68C2semidirect
6. #14537512C2semidirect
7. #14537512C2semidirect
8. #14537503C2semidirect
9. #14537489C2semidirect
10. #14537480C2semidirect
11. C2×#11762882C2semidirect
12. #14537352C2semidirect
13. #14537231C2semidirect
14. #14537231C2semidirect
15. C17×#2875C2semidirect
19. C2×#10587593C22semidirect
20. C2×#10587593C22semidirect
23. C2×#10587587C22semidirect
24. C2×#10587587C22semidirect
26. C22×#63218C22semidirect
27. C2×M16×D17C22semidirect
28. C2×M16×D17C22semidirect
29. C22×C8×D17C22semidirect
42. #11762888C22semidirect
43. #11762888C22semidirect
46. #11762882C22semidirect
47. #11762882C22semidirect
48. #11762882C22semidirect
49. #11762882C22semidirect
50. #11762882C22semidirect
51. #11762882C22semidirect
52. #11762882C22semidirect
53. #11762882C22semidirect
54. #11762882C22semidirect
55. C8×D68C22semidirect
56. C8×D68C22semidirect
57. #11762836C22semidirect
58. #11762836C22semidirect
59. #11762833C22semidirect
60. C2×C4⋊#3622C22semidirect
61. #11762777C22semidirect
62. #11762777C22semidirect
63. #11762775C22semidirect
64. #11762775C22semidirect
65. #11762772C22semidirect
66. #11762772C22semidirect
67. C2×#10587491C22semidirect
68. C2×#10587491C22semidirect
72. C17×#405C22semidirect
73. C17×#405C22semidirect
74. C4×M16×C17C22semidirect
75. C2×C17×#97C22semidirect
95. C17×#131D4semidirect
228. M16×C17C2×D4semidirect
230. C2×C8×C17C2×D4semidirect
350. #2875D17semidirect
368. C2×D17#568semidirect
436. #405C2×D17semidirect
437. #405C2×D17semidirect
438. C4×M16C2×D17semidirect
439. C2×#97C2×D17semidirect
473. #131D68semidirect
552. C17#60146semidirect
608. M16C2×D68semidirect
621. C2×C8C2×D68semidirect

Maximal subgroups

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

subgroupindex
C2×#117635742
C2×#131×D172
#41×D682
#145375302
M16×D682
#145375122
#145375032
#145374892
#145374802
C2×#117628822
#145373522
#145372312
C17×#28752
#6014617