Finite Group Databasebeta

← #17052471

Subgroups — #17052471

Order 4352.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762878C211yesmaximal, characteristic
2C2×#11762851C211yesmaximal, characteristic, complemented
3C2×#106×D17C211yesmaximal, characteristic, complemented
4#14531706C211yesmaximal, characteristic
5#14531680C211yesmaximal, characteristic
6#14529555C211yesmaximal, characteristic, complemented
7#14529546C211yesmaximal, characteristic, complemented
8#14528981C211yesmaximal, characteristic, complemented
9#14528978C211yesmaximal, characteristic, complemented
10#14528976C211yesmaximal, characteristic, complemented
11#14528973C211yesmaximal, characteristic, complemented
12#14528949C211yesmaximal, characteristic, complemented
13#14528810C211yesmaximal, characteristic, complemented
14#14528683C211yesmaximal, characteristic, complemented
15C17×#1809C211yesmaximal, characteristic, complemented
16C22×C8×D17C2211yescharacteristic
17C2×C4×C22⋊D17C2211yescharacteristic
18C2×#10587567—21no—
19C2×#10587612C2211yescharacteristic
20C22×C4⋊Dic17C2211yescharacteristic
21C2×C4⋊C4×D17C2211yescharacteristic
22C2×C4⋊C4×D17C2211yescharacteristic
23#11762878C418yescomplemented
24#11762851—24no—
25C2×#10587489C2211yescharacteristic
26C2×#10587489C2211yescharacteristic
27C2×#10587478C2211yescharacteristic
28C2×#10587488C2211yescharacteristic
29C2×#10587488C2211yescharacteristic
30C2×#10587479C2211yescharacteristic
31C2×#10587479C2211yescharacteristic
32C2×#10587479C2211yescharacteristic
33#106×D17—24no—
34C2×#10587485C2211yescharacteristic
35C2×C22⋊#3622C2211yescharacteristic
36C2×#10587491C2211yescharacteristic
37C2×#10587486C2211yescharacteristic
38#11762706—21no—
39#11762697—21no—
40#11762691—21no—
41#11762685—21no—
42#11762683—21no—
43#11762681—21no—
44#11762678C2211yescharacteristic
45#11762674C2211yescharacteristic
46#11762666C2211yescharacteristic
47#11762666C2211yescharacteristic
48C4⋊C4×Dic17C2211yescharacteristic
49C4⋊C4×Dic17C2211yescharacteristic
50#11762656—21no—
51#11762571C2211yescharacteristic
52#11762571C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55C22×M16×C17C2211yescharacteristic
56C2×C17×#107C2211yescharacteristic
57C2×C17×#106C2211yescharacteristic
58C17×#380C2211yescharacteristic
59C17×#380C2211yescharacteristic
60C17×#340C2211yescharacteristic
61C17×#340C2211yescharacteristic
62C23×C4×C17C2311yescharacteristic
63C22×C22⋊D17D411yescharacteristic
64C23×Dic17—21no—
65C22×C4×D17—21no—
66C22×C4×D17—21no—
67C22×C4×D17C2311yescharacteristic
68C2×M16×C17—22no—
69C2×M16×C17—22no—
70C2×M16×C17C2×C414yescomplemented
71C22×C8×C17C2311yescharacteristic
72C22×C8×C17C2311yescharacteristic
73C2×C4⋊C4×C17C2311yescharacteristic
74C2×C4⋊C4×C17C2311yescharacteristic
75C2×C4⋊C4×C17C2311yescharacteristic
76C2×C4⋊C4×C17C2311yescharacteristic
77C2×C22⋊C4×C17—21no—
78C2×C22⋊C4×C17—21no—
79C2×C22⋊Dic17—21no—
80C2×C22⋊Dic17D411yescharacteristic
81C4×C22⋊D17C2×C414yes—
82C4×C22⋊D17Q814yes—
83C2×#63227—21no—
84C2×#63227—21no—
85C2×#63227D411yescharacteristic
86#10587612—22no—
87#10587612—41no—
88C2×C4⋊Dic17—21no—
89C2×C4⋊Dic17—22no—
90C2×C4⋊Dic17—41no—
91C2×C4⋊Dic17C2311yescharacteristic
92C2×C4⋊Dic17C2311yescharacteristic
93C2×C4⋊Dic17C2311yescharacteristic
94C2×C4⋊Dic17C2311yescharacteristic
95C2×#63225—21no—
96C2×#63225—21no—
97C2×#63225—21no—
98C2×#63225—21no—
99C2×#63225D411yescharacteristic
100C2×C4×Dic17—21no—
101C2×C4×Dic17—21no—
102C2×C4×Dic17—21no—
103C2×C4×Dic17C2311yescharacteristic
104C22×#3622C2311yescharacteristic
105C22×#3622C2311yescharacteristic
106C2×C8×D17—22no—
107C2×C8×D17—22no—
108C2×C8×D17C2×C414yescomplemented
109C4⋊C4×D17—22no—
110C4⋊C4×D17—22no—
111C4⋊C4×D17—41no—
112C4⋊C4×D17—41no—
113#10587567—44no—
114C17×#107—22no—
115C17×#106—22no—
116C17×#95—21no—
117C17×#95—21no—
118#10587502—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124C22⋊#3622C2×C414yescomplemented
125#10587491C2×C414yescomplemented
126#10587489—22no—
127#10587489—22no—
128#10587488—22no—
129#10587488D414yescomplemented
130#10587486C2×C414yescomplemented
131#10587485C2×C414yescomplemented
132#10587479—22no—
133#10587479—22no—
134#10587479—41no—
135#10587478—41no—
136C24×C17C2×D411yescharacteristic
137C23×D17C2×D411yescharacteristic
138C22×C4×C17—21no—
139C22×C4×C17—21no—
140C22×C4×C17—21no—
141C22×C4×C17—21no—
142C22×C4×C17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—21no—
145C22×C4×C17—21no—
146C22×C4×C17C22×C412yes—
147C22×C4×C17C2×D411yescharacteristic
148C22×C4×C17C2×Q812yes—
149C22×C4×C17C2411yescharacteristic
150C2×C22⋊D17—22no—
151C2×C22⋊D17—22no—
152C2×C22⋊D17C4⋊C414yes—
153C22×Dic17—21no—
154C22×Dic17—21no—
155C22×Dic17—21no—
156C22×Dic17—21no—
157C22×Dic17—42no—
158C22×Dic17—42no—
159C22×Dic17—81no—
160C22×Dic17C2×D411yescharacteristic
161C22×Dic17C2×D411yescharacteristic
162C22×Dic17C2×D411yescharacteristic
163C2×C4×D17—21no—
164C2×C4×D17—21no—
165C2×C4×D17—21no—
166C2×C4×D17—21no—
167C2×C4×D17—42no—
168C2×C4×D17—42no—
169C2×C4×D17—42no—
170C2×C4×D17—42no—
171C2×C4×D17—81no—
172C2×C4×D17—81no—
173C2×C4×D17C22×C412yes—
174C2×C4×D17C2×Q812yes—
175M16×C17—28no—
176C2×C8×C17—21no—
177C2×C8×C17—21no—
178C2×C8×C17C22×C412yes—
179C2×C8×C17C22×C412yes—
180C2×C8×C17C2×D412yes—
181C2×C8×C17#4112yes—
182C4⋊C4×C17—21no—
183C4⋊C4×C17—21no—
184C4⋊C4×C17—21no—
185C4⋊C4×C17—21no—
186C4⋊C4×C17—21no—
187C4⋊C4×C17—21no—
188C4⋊C4×C17—21no—
189C4⋊C4×C17—21no—
190C22⋊C4×C17—42no—
191C22⋊C4×C17—81no—
192C22⋊Dic17—42no—
193C22⋊Dic17C4⋊C414yes—
194#63227—42no—
195#63227—42no—
196#63227C4⋊C414yes—
197C4⋊Dic17—21no—
198C4⋊Dic17—21no—
199C4⋊Dic17—21no—
200C4⋊Dic17—21no—
201C4⋊Dic17—21no—
202C4⋊Dic17—21no—
203C4⋊Dic17—42no—
204C4⋊Dic17C2×D412yes—
205C4⋊Dic17C2×D412yes—
206#63225—42no—
207#63225—42no—
208#63225—42no—
209#63225—81no—
210#63225C4⋊C414yes—
211C4×Dic17—42no—
212C4×Dic17—42no—
213C4×Dic17—81no—
214C4×Dic17C22×C412yes—
215C4×Dic17C2×Q812yes—
216C2×#3622—21no—
217C2×#3622—21no—
218C2×#3622—21no—
219C2×#3622—21no—
220C2×#3622C22×C412yes—
221C2×#3622C22×C412yes—
222C8×D17—28no—
223#22659—171nomaximal, Sylow
224C23×C17—21no—
225C23×C17—21no—
226C23×C17—21no—
227C23×C17—21no—
228C23×C17—21no—
229C23×C17—21no—
230C23×C17C2×C4⋊C412yes—
231C23×C17C22×D411yescharacteristic
232C22×D17—21no—
233C22×D17—21no—
234C22×D17—21no—
235C22×D17—21no—
236C22×D17C2×C4⋊C412yes—
237C22×D17AGL(1,ℤ/8)12yes—
238C22×D17#13712yes—
239C2×C4×C17—21no—
240C2×C4×C17—21no—
241C2×C4×C17—22no—
242C2×C4×C17—22no—
243C2×C4×C17—22no—
244C2×C4×C17—22no—
245C2×C4×C17—41no—
246C2×C4×C17—41no—
247C2×C4×C17—41no—
248C2×C4×C17—41no—
249C2×C4×C17—41no—
250C2×C4×C17—41no—
251C2×C4×C17—41no—
252C2×C4×C17—41no—
253C2×C4×C17—41no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17C2×C4⋊C412yes—
258C2×C4×C17C23×C411yescharacteristic
259C2×C4×C17C22×D411yescharacteristic
260C2×C4×C17C22×Q811yescharacteristic
261C2×C4×C17C2×#4111yescharacteristic
262C2×C4×C17H(5,𝔽2)11yescharacteristic
263C2×C4×C172−1+411yescharacteristic
264C22⋊D17—28no—
265C2×Dic17—21no—
266C2×Dic17—21no—
267C2×Dic17—21no—
268C2×Dic17—21no—
269C2×Dic17—21no—
270C2×Dic17—21no—
271C2×Dic17—22no—
272C2×Dic17—22no—
273C2×Dic17—41no—
274C2×Dic17—41no—
275C2×Dic17—41no—
276C2×Dic17—41no—
277C2×Dic17—41no—
278C2×Dic17—41no—
279C2×Dic17—41no—
280C2×Dic17—41no—
281C2×Dic17—41no—
282C2×Dic17—41no—
283C2×Dic17—84no—
284C2×Dic17C2×C4⋊C412yes—
285C2×Dic17C2×C4⋊C412yes—
286C2×Dic17C2×C4⋊C412yes—
287C4×D17—22no—
288C4×D17—22no—
289C4×D17—22no—
290C4×D17—22no—
291C4×D17—84no—
292C4×D17—84no—
293C8×C17—22no—
294C8×C17C4×D414yescomplemented
295#3622—22no—
296#3622—22no—
297C2×#435—171no—
298C2×#428—171no—
299C22×#106—171no—
300#2352—171no—
301D4×C4⋊C4—171no—
302#1949—171no—
303#1948—171no—
304#1854—171no—
305#1853—171no—
306#1853—171no—
307#1852—171no—
308#1847—171no—
309#1809D1711yescharacteristic, complemented
310#1808—171no—
311#1776—171no—
312C22×C17—22no—
313C22×C17—22no—
314C22×C17—22no—
315C22×C17—41no—
316C22×C17—41no—
317C22×C17—41no—
318C22×C17—41no—
319C22×C17C22×C4⋊C411yescharacteristic
320C22×C17D4211yescharacteristic
321C22×C17#54711yescharacteristic
322C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
323C22×C17C2×#13711yescharacteristic
324C22×C17#57711yescharacteristic
325C22×C17#57711yescharacteristic
326C2×D17—22no—
327C2×D17—22no—
328C2×D17—22no—
329C2×D17—22no—
330C2×D17—22no—
331C2×D17—22no—
332C2×D17#42814yescomplemented
333C4×C17—22no—
334C4×C17—81no—
335C4×C17—81no—
336C4×C17—81no—
337C4×C17—81no—
338C4×C17C2×C4×D411yescharacteristic
339C4×C17#52011yescharacteristic
340C4×C17D4×Q811yescharacteristic
341C4×C17#55411yescharacteristic
342Dic17—22no—
343Dic17—22no—
344Dic17—22no—
345Dic17—42no—
346Dic17—42no—
347Dic17—81no—
348Dic17—81no—
349C22×M16C2×D1711yescharacteristic
350C23×C8—171no—
351C2×C4×D4—171no—
352C2×C4×D4—341no—
353C2×#117—171no—
354C22×C4⋊C4—171no—
355C22×C4⋊C4—171no—
356C22×C4⋊C4—171no—
357#435—178no—
358#428—344no—
359C2×#107—171no—
360C2×#107—171no—
361C2×#107—171no—
362C2×#107C2×D1711yescharacteristic
363C2×#106—171no—
364C2×#106—171no—
365C2×#106—171no—
366C2×#106—171no—
367C2×#106—171no—
368C2×#106—344no—
369C2×#106C2×D1711yescharacteristic
370C2×C4⋊C8—171no—
371C2×C22⋊C8—171no—
372C2×C22⋊C8—171no—
373C2×#97—171no—
374#389—341no—
375#388—341no—
376#387—341no—
377#386—341no—
378#385—341no—
379#385—341no—
380#384—171no—
381#382—171no—
382#380—171no—
383#380—171no—
384#380C2×D1711yescharacteristic
385#380C2×D1711yescharacteristic
386C4×C4⋊C4—171no—
387C4×C4⋊C4—171no—
388C4×C22⋊C4—341no—
389#340—171no—
390#340—171no—
391#340—171no—
392#340—171no—
393#340C2×D1711yescharacteristic
394#340C2×D1711yescharacteristic
395C2×C17—42no—
396C2×C17D4×C4⋊C411yescharacteristic
397C2×C17C2×#42811yescharacteristic
398C2×C17#291211yescharacteristic
399C2×C17#326511yescharacteristic
400C2×C17#326611yescharacteristic
401C2×C17#334411yescharacteristic
402C2×C17#334511yescharacteristic
403D17—24no—
404C22×D4—171no—
405C23×C4—171no—
406C23×C4—341no—
407C23×C4—341no—
408C23×C4—341no—
409C23×C4C22×D1711yescharacteristic
410C2×M16—22no—
411C2×M16—22no—
412C2×M16C4×D1714yescomplemented
413C22×C8—171no—
414C22×C8—171no—
415C22×C8—174no—
416C22×C8—342no—
417C22×C8—342no—
418C22×C8C22×D1711yescharacteristic
419C22×C8C22×D1711yescharacteristic
420C4×D4—174no—
421C4×D4—174no—
422C4×D4—684no—
423#117—342no—
424#117—681no—
425C2×C4⋊C4—171no—
426C2×C4⋊C4—171no—
427C2×C4⋊C4—171no—
428C2×C4⋊C4—171no—
429C2×C4⋊C4—171no—
430C2×C4⋊C4—342no—
431C2×C4⋊C4—342no—
432C2×C4⋊C4—342no—
433C2×C4⋊C4—341no—
434C2×C4⋊C4—341no—
435C2×C4⋊C4—341no—
436C2×C4⋊C4—341no—
437C2×C4⋊C4—341no—
438C2×C4⋊C4—681no—
439C2×C4⋊C4—681no—
440C2×C4⋊C4—681no—
441C2×C4⋊C4C22×D1711yescharacteristic
442C2×C4⋊C4C22×D1711yescharacteristic
443C2×C4⋊C4C22×D1711yescharacteristic
444C2×C4⋊C4C22×D1711yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—171no—
448C2×C22⋊C4—171no—
449C2×C22⋊C4—341no—
450C2×C22⋊C4—341no—
451C2×C22⋊C4—341no—
452C2×C42—171no—
453C2×C42—341no—
454C2×C42—341no—
455C2×C42—341no—
456#107—22no—
457#107—342no—
458#107—342no—
459#107—681no—
460#106—22no—
461#106—174no—
462#106—342no—
463#106—342no—
464#106—342no—
465#106—681no—
466C4⋊C8—174no—
467C22⋊C8—174no—
468C22⋊C8—174no—
469#97—174no—
470#95—21no—
471#95—21no—
472#95—341no—
473#95—341no—
474#95—341no—
475#95—341no—
476#95—341no—
477#95—341no—
478C17#2265911yescharacteristic, complemented, Sylow
479C24—171no—
480C24D4×D1711yescharacteristic
481C2×D4—174no—
482C2×D4—342no—
483C2×D4—342no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—171no—
493C22×C4—171no—
494C22×C4—171no—
495C22×C4—172no—
496C22×C4—172no—
497C22×C4—341no—
498C22×C4—341no—
499C22×C4—341no—
500C22×C4—341no—
501C22×C4—341no—
502C22×C4—341no—
503C22×C4—341no—
504C22×C4—341no—
505C22×C4—682no—
506C22×C4—682no—
507C22×C4—682no—
508C22×C4—682no—
509C22×C4—682no—
510C22×C4—682no—
511C22×C4—1361no—
512C22×C4—1361no—
513C22×C4—1361no—
514C22×C4C2×C4×D1712yes—
515C22×C4D4×D1711yescharacteristic
516C22×C4Q8×D1712yes—
517C22×C4C23×D1711yescharacteristic
518M16—28no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—172no—
522C2×C8—172no—
523C2×C8—341no—
524C2×C8—341no—
525C2×C8—341no—
526C2×C8—341no—
527C2×C8—348no—
528C2×C8C2×C4×D1712yes—
529C2×C8C2×C4×D1712yes—
530C2×C8D4×D1712yes—
531C2×C8#6325412yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—174no—
541C4⋊C4—172no—
542C4⋊C4—172no—
543C4⋊C4—341no—
544C4⋊C4—341no—
545C4⋊C4—341no—
546C4⋊C4—341no—
547C4⋊C4—341no—
548C4⋊C4—341no—
549C4⋊C4—682no—
550C4⋊C4—682no—
551C4⋊C4—682no—
552C4⋊C4—682no—
553C4⋊C4—1361no—
554C22⋊C4—42no—
555C22⋊C4—81no—
556C22⋊C4—174no—
557C22⋊C4—174no—
558C22⋊C4—682no—
559C22⋊C4—682no—
560C22⋊C4—682no—
561C42—172no—
562C42—172no—
563C42—682no—
564C42—682no—
565C42—1361no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—172no—
573C23—172no—
574C23—172no—
575C23—341no—
576C23—341no—
577C23—341no—
578C23—341no—
579C23C4⋊C4×D1712yes—
580C23C2×D4×D1711yescharacteristic
581D4—348no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—172no—
601C2×C4—172no—
602C2×C4—172no—
603C2×C4—341no—
604C2×C4—341no—
605C2×C4—341no—
606C2×C4—341no—
607C2×C4—341no—
608C2×C4—341no—
609C2×C4—342no—
610C2×C4—342no—
611C2×C4—342no—
612C2×C4—342no—
613C2×C4—342no—
614C2×C4—342no—
615C2×C4—681no—
616C2×C4—681no—
617C2×C4—681no—
618C2×C4—681no—
619C2×C4—681no—
620C2×C4—681no—
621C2×C4—681no—
622C2×C4—681no—
623C2×C4—681no—
624C2×C4—681no—
625C2×C4—1364no—
626C2×C4—1364no—
627C2×C4—1364no—
628C2×C4C4⋊C4×D1712yes—
629C2×C4C22×C4×D1711yescharacteristic
630C2×C4C2×D4×D1711yescharacteristic
631C2×C4C2×#6325411yescharacteristic
632C2×C4C2×Q8×D1711yescharacteristic
633C2×C4#1058769611yescharacteristic
634C2×C4#1058769711yescharacteristic
635C8—22no—
636C8—342no—
637C8—342no—
638C8#1058756714yescomplemented
639C22—22no—
640C22—22no—
641C22—22no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—174no—
647C22—342no—
648C22—342no—
649C22—342no—
650C22—342no—
651C22—342no—
652C22—342no—
653C22C2×C4⋊C4×D1711yescharacteristic
654C22#1176344311yescharacteristic
655C22#1176345911yescharacteristic
656C22AGL(1,ℤ/8)×D1711yescharacteristic
657C22#137×D1711yescharacteristic
658C22#1176361811yescharacteristic
659C22#1176361911yescharacteristic
660C4—22no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—342no—
666C4—342no—
667C4—342no—
668C4—682no—
669C4—682no—
670C4—1361no—
671C4—1361no—
672C4C2×#1058756711yescharacteristic
673C4#1176328911yescharacteristic
674C4#1176347211yescharacteristic
675C4#1176351711yescharacteristic
676C2—42no—
677C2—344no—
678C2#1453168011yescharacteristic
679C2D17×#42811yescharacteristic
680C2#1453737811yescharacteristic
681C2#1454028611yescharacteristic
682C2#1454030111yescharacteristic
683C2#1454123411yescharacteristic
684C2#1454124911yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1809C2
socleC23×C17C22×D4
prime radicalC22×C22⋊D17D4
cosocleC22×C4×C17C24
hypercenter#1809D17
hypocenterC17#22659
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1809

Complements

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

NH ≅ G/Ntype
2. C2×#11762851C2semidirect
3. C2×#106×D17C2semidirect
6. #14529555C2semidirect
7. #14529546C2semidirect
8. #14528981C2semidirect
9. #14528978C2semidirect
10. #14528976C2semidirect
11. #14528973C2semidirect
12. #14528949C2semidirect
13. #14528810C2semidirect
14. #14528683C2semidirect
15. C17×#1809C2semidirect
23. #11762878C4semidirect
70. C2×M16×C17C2×C4semidirect
108. C2×C8×D17C2×C4semidirect
124. C22⋊#3622C2×C4semidirect
125. #10587491C2×C4semidirect
129. #10587488D4semidirect
130. #10587486C2×C4semidirect
131. #10587485C2×C4semidirect
294. C8×C17C4×D4semidirect
309. #1809D17semidirect
332. C2×D17#428semidirect
412. C2×M16C4×D17semidirect
478. C17#22659semidirect
638. C8#10587567semidirect

Maximal subgroups

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

subgroupindex
C2×#117628782
C2×#117628512
C2×#106×D172
#145317062
#145316802
#145295552
#145295462
#145289812
#145289782
#145289762
#145289732
#145289492
#145288102
#145286832
C17×#18092
#2265917