Finite Group Databasebeta

← #29648898

Subgroups — #29648898

Order 15616.

904 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459631C211yesmaximal, characteristic
2#21454946C211yesmaximal, characteristic
3#21454941C211yesmaximal, characteristic
4#21444555C211yesmaximal, characteristic, complemented
5#21444535C211yesmaximal, characteristic, complemented
6#21444534C211yesmaximal, characteristic, complemented
7#21444519C211yesmaximal, characteristic, complemented
8#21444518C211yesmaximal, characteristic, complemented
9#21444516C211yesmaximal, characteristic, complemented
10#21444502C211yesmaximal, characteristic, complemented
11#21444489C211yesmaximal, characteristic, complemented
12#21444482C211yesmaximal, characteristic, complemented
13C2×#16839509C211yesmaximal, characteristic, complemented
14#332×D61C211yesmaximal, characteristic, complemented
15C61×#1552C211yesmaximal, characteristic, complemented
16Q8×Dic122—21no—
17#16840490—21no—
18#16840472—21no—
19#16840470—21no—
20#16840470—21no—
21Q8×D244—21no—
22#16840425—21no—
23#16840425—21no—
24#16840392C412yes—
25#16840392C412yes—
26#16840390C412yes—
27#16840317C2211yescharacteristic
28#16840317C2211yescharacteristic
29C2×#14519777C2211yescharacteristic
30C4⋊Q8×D61C2211yescharacteristic
31C4⋊Q8×D61C2211yescharacteristic
32#16840242C412yes—
33C4×#11758222C2211yescharacteristic
34#16839891—21no—
35#16839890—21no—
36#16839835—21no—
37#16839833—21no—
38#16839832—21no—
39#16839830—21no—
40C8×C22⋊D61—21no—
41#16839825—21no—
42#16839819C2211yescharacteristic
43#16839818C2211yescharacteristic
44#16839818C2211yescharacteristic
45#16839814C2211yescharacteristic
46#16839814C2211yescharacteristic
47#16839784C2211yescharacteristic
48#16839784C2211yescharacteristic
49C2×C4⋊#92418C2211yescharacteristic
50C4⋊C8×D61C2211yescharacteristic
51C4⋊C8×D61C2211yescharacteristic
52#16839509C2211yescharacteristic
53#16839509C2211yescharacteristic
54#16839509C2211yescharacteristic
55#16839509C2211yescharacteristic
56#16839508C2211yescharacteristic
57#16839508C2211yescharacteristic
58#16839508C2211yescharacteristic
59#16839508C2211yescharacteristic
60#16839507C2211yescharacteristic
61#16839507C2211yescharacteristic
62#16839507C2211yescharacteristic
63#16839507C2211yescharacteristic
64C61×#533C2211yescharacteristic
65C61×#432C2211yescharacteristic
66C2×C4⋊C8×C61C2211yescharacteristic
67C61×#332C2211yescharacteristic
68C61×#332C2211yescharacteristic
69C61×#332C2211yescharacteristic
70C61×#332C2211yescharacteristic
71C2×#11758222C2×C411yescharacteristic
72C22×Dic122—21no—
73C2×Q8×D61—21no—
74C2×Q8×D61—21no—
75C2×#11758189—21no—
76C2×#11758189—21no—
77C22×#92418—21no—
78C2×C8×D61—21no—
79C2×C8×D61—21no—
80#14519777—21no—
81#14519777—21no—
82#14519777—22no—
83#14519777C2×C412yes—
84#14519777C2311yescharacteristic
85#14519777C2311yescharacteristic
86#14519776—22no—
87#14519776—22no—
88#14519776—21no—
89#14519776—21no—
90#14519776C2×C412yes—
91#14519776C2×C412yes—
92#14519775—21no—
93#14519775—21no—
94#14519769—22no—
95#14519768C2×C412yes—
96#14519768C2×C412yes—
97#14519767—22no—
98#14519767—22no—
99#14519757—21no—
100#14519757—21no—
101#14519757—22no—
102#14519757—22no—
103#14519755—22no—
104#14519755—22no—
105#14519754—22no—
106#14519754—22no—
107#14519753—21no—
108#14519753—21no—
109Q8×Dic61—21no—
110Q8×Dic61—21no—
111C4×Dic122—22no—
112C4×Dic122D411yescharacteristic
113C4×Dic122D411yescharacteristic
114#14519742—21no—
115#14519742—21no—
116C4×D244—22no—
117C4×D244D411yescharacteristic
118C4×D244D411yescharacteristic
119C4×C22⋊D61D411yescharacteristic
120C4×C22⋊D61D411yescharacteristic
121C4×C22⋊D61D411yescharacteristic
122C4×C22⋊D61D411yescharacteristic
123#14519737—22no—
124#14519737—22no—
125#14519736C2×C411yescharacteristic
126#14519735C2×C412yes—
127#14519735C2×C412yes—
128#14519734C2×C411yescharacteristic
129#14519734C2×C411yescharacteristic
130C2×C4⋊Dic61—21no—
131C2×C4⋊Dic61C2×C412yes—
132C4⋊C4×D61—21no—
133C4⋊C4×D61—21no—
134C4⋊C4×D61C2×C412yes—
135C4⋊C4×D61C2×C412yes—
136C42×D61C2311yescharacteristic
137C42×D61C2311yescharacteristic
138C4⋊#92418—21no—
139C4⋊#92418C2311yescharacteristic
140C4⋊#92418C2311yescharacteristic
141C4⋊#92418C2311yescharacteristic
142C4⋊#92418C2311yescharacteristic
143#14519706—21no—
144#14519706—21no—
145#14519706—21no—
146#14519706—21no—
147C22⋊#92418—21no—
148#14519689—21no—
149#14519689—21no—
150#14519689—21no—
151#14519689—21no—
152#14519688—21no—
153#14519687—21no—
154#14519687—21no—
155C8×Dic61—21no—
156C8×Dic61—21no—
157C22×C8×C61—21no—
158C4⋊Q8×C61C2311yescharacteristic
159C4⋊Q8×C61C2311yescharacteristic
160#125×C61C2×C412yes—
161C22⋊Q8×C61—21no—
162C22⋊Q8×C61—21no—
163C4×Q8×C61—21no—
164C4×Q8×C61—21no—
165#117×C61C2×C412yes—
166C2×C42×C61C2311yescharacteristic
167C4⋊C8×C61—21no—
168C4⋊C8×C61C2311yescharacteristic
169C4⋊C8×C61C2311yescharacteristic
170C4⋊C8×C61C2311yescharacteristic
171C4⋊C8×C61C2311yescharacteristic
172C22⋊C8×C61—21no—
173#97×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C22×C4×C61C22×C411yescharacteristic
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C2×C22⋊D61C22⋊C411yescharacteristic
180C2×C22⋊D61C22⋊C411yescharacteristic
181C22×Dic61—22no—
182Q8×D61—81no—
183Q8×D61—81no—
184Q8×D61—81no—
185Q8×D61—81no—
186#11758222—24no—
187C2×D244C22⋊C411yescharacteristic
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61C22×C411yescharacteristic
191C2×C4×D61C22×C411yescharacteristic
192C2×C4×D61C2×D411yescharacteristic
193C2×C4×D61C2×D411yescharacteristic
194C2×C4×D61C2×D411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122—22no—
199C2×Dic122—22no—
200C2×Dic122—22no—
201C2×Dic122—81no—
202C2×Dic122—81no—
203C2×Dic122C22⋊C411yescharacteristic
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61—81no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61C22×C412yes—
214C4⋊C4×C61C22×C412yes—
215C22⋊C4×C61—22no—
216C42×C61—22no—
217C42×C61C22×C411yescharacteristic
218C42×C61C2×D411yescharacteristic
219C42×C61C2×D411yescharacteristic
220C42×C61C2411yescharacteristic
221C22⋊Dic61C22⋊C411yescharacteristic
222C22⋊Dic61C22⋊C411yescharacteristic
223#11758198—22no—
224#11758198—22no—
225#11758198C22⋊C411yescharacteristic
226#11758198C22⋊C411yescharacteristic
227#11758198C22⋊C411yescharacteristic
228#11758198C22⋊C411yescharacteristic
229C4⋊Dic61—22no—
230C4⋊Dic61—22no—
231C4⋊Dic61—21no—
232C4⋊Dic61—21no—
233C4⋊Dic61—22no—
234C4⋊Dic61—22no—
235C4⋊Dic61C22⋊C411yescharacteristic
236C4⋊Dic61C22⋊C411yescharacteristic
237C4⋊Dic61C22×C412yes—
238C4⋊Dic61C22×C412yes—
239#11758196—22no—
240#11758196—22no—
241#11758196—22no—
242#11758196—22no—
243#11758196—22no—
244#11758196—22no—
245#11758196C22⋊C411yescharacteristic
246#11758196C22⋊C411yescharacteristic
247#11758196C22⋊C411yescharacteristic
248#11758196C22⋊C411yescharacteristic
249C4×Dic61—22no—
250C4×Dic61—22no—
251C4×Dic61C22×C411yescharacteristic
252C4×Dic61C22×C411yescharacteristic
253C4×Dic61C2×D411yescharacteristic
254C4×Dic61C2×D411yescharacteristic
255C4×Dic61C2×D411yescharacteristic
256C4×Dic61C2×D411yescharacteristic
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—81no—
262#11758189—81no—
263#11758189—81no—
264C8×D61—81no—
265C8×D61—81no—
266C23×C61C2×C22⋊C411yescharacteristic
267C22×D61C2×C22⋊C411yescharacteristic
268C22×D61C2×C22⋊C411yescharacteristic
269Q8×C61—41no—
270Q8×C61—41no—
271Q8×C61—41no—
272Q8×C61—41no—
273C2×C4×C61—22no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C23×C411yescharacteristic
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C22⋊D61—22no—
287C22⋊D61#10114yes—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—82no—
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297D244—22no—
298C4×D61—22no—
299C4×D61—21no—
300C4×D61—21no—
301C4×D61—21no—
302C4×D61—21no—
303C4×D61—21no—
304C4×D61—21no—
305C4×D61—21no—
306C4×D61—21no—
307C4×D61—22no—
308C4×D61—82no—
309C4×D61—82no—
310Dic122—22no—
311Dic122—41no—
312Dic122—41no—
313Dic122—41no—
314Dic122—41no—
315Dic122—82no—
316Dic122—82no—
317Dic122—82no—
318C8×C61—41no—
319C8×C61—41no—
320C8×C61—41no—
321C8×C61—41no—
322#92418—41no—
323#92418—41no—
324#92418—41no—
325#92418—41no—
326#17774—611nomaximal, Sylow
327C22×C61—21no—
328C22×C61—21no—
329C22×C61C2×#10112yes—
330C22×C61C22×C22⋊C411yescharacteristic
331C2×D61—21no—
332C2×D61—21no—
333C2×D61—21no—
334C2×D61—21no—
335C2×D61—21no—
336C2×D61C2×#10112yes—
337C4×C61—21no—
338C4×C61—21no—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—42no—
342C4×C61—42no—
343C4×C61#57611yescharacteristic
344C4×C61#57711yescharacteristic
345C4×C61#57711yescharacteristic
346C4×C61#57811yescharacteristic
347Dic61—21no—
348Dic61—21no—
349Dic61—21no—
350Dic61—21no—
351Dic61—21no—
352Dic61—42no—
353Dic61—42no—
354Dic61C2×#10112yes—
355#3503—611no—
356#2990—611no—
357#2990—611no—
358#1561—611no—
359#1556—611no—
360#1556—611no—
361#1552—611no—
362#1552—611no—
363#1552—611no—
364#1552D6111yescharacteristic, complemented
365#1549—611no—
366#1546—611no—
367#1544—611no—
368C2×#332—611no—
369C2×#332—611no—
370C2×C61—22no—
371C2×C61C22×#10111yescharacteristic
372C2×C61#289711yescharacteristic
373C2×C61#289811yescharacteristic
374D61—22no—
375D61—41no—
376Q82—1221no—
377#557—1221no—
378#554—1221no—
379#554—1221no—
380#554—1221no—
381D4×Q8—1221no—
382D4×Q8—1221no—
383D4×Q8—1221no—
384#544—612no—
385#544—612no—
386#544—612no—
387#533—611no—
388#533—611no—
389#533C2×D6111yescharacteristic
390C2×C4⋊Q8—611no—
391C2×C4⋊Q8—611no—
392C2×C4⋊Q8—611no—
393#520—612no—
394C4×#41—611no—
395#446—1221no—
396#446—1221no—
397#435—1221no—
398#435—1221no—
399#435—1221no—
400#435—1221no—
401C8×D4—1221no—
402C8×D4—1221no—
403#432—611no—
404#432—611no—
405#432—611no—
406#432C2×D6111yescharacteristic
407#431—611no—
408#431—611no—
409#423—611no—
410#423—611no—
411C2×C4⋊C8—611no—
412C2×C4⋊C8—611no—
413C2×C4⋊C8—611no—
414C2×C4⋊C8C2×D6111yescharacteristic
415#332—611no—
416#332—611no—
417#332—611no—
418#332—611no—
419#332—611no—
420#332—611no—
421#332—611no—
422#332—611no—
423#332—611no—
424#332—611no—
425#332—611no—
426#332—611no—
427#332C2×D6111yescharacteristic
428#332C2×D6111yescharacteristic
429#332C2×D6111yescharacteristic
430#332C2×D6111yescharacteristic
431C61#1777411yescharacteristic, complemented, Sylow
432C2×#41—611no—
433C22×Q8—1221no—
434C22×Q8—1221no—
435C22×Q8—1221no—
436C2×M16—1221no—
437C2×M16—1221no—
438C22×C8—21no—
439C22×C8—1221no—
440C22×C8—1221no—
441C22×C8—1221no—
442C4⋊Q8—612no—
443C4⋊Q8—612no—
444C4⋊Q8—612no—
445C4⋊Q8—611no—
446C4⋊Q8—611no—
447C4⋊Q8—1222no—
448C4⋊Q8—1221no—
449C4⋊Q8—1221no—
450C4⋊Q8—1221no—
451C4⋊Q8—1221no—
452C4⋊Q8—1222no—
453C4⋊Q8—1222no—
454C4⋊Q8—1221no—
455C4⋊Q8—1221no—
456C4⋊Q8C22×D6111yescharacteristic
457C4⋊Q8C22×D6111yescharacteristic
458#125—612no—
459#125—612no—
460#125—1222no—
461#125—1222no—
462#125—1222no—
463#125C4×D6112yes—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8—1222no—
467C22⋊Q8—1222no—
468C22⋊Q8—1222no—
469C22⋊Q8—1222no—
470C22⋊Q8—1222no—
471C22⋊Q8—1222no—
472C22⋊Q8—1221no—
473C22⋊Q8—1221no—
474C22⋊Q8—1221no—
475C22⋊Q8—1221no—
476C4×Q8—21no—
477C4×Q8—21no—
478C4×Q8—611no—
479C4×Q8—611no—
480C4×Q8—1222no—
481C4×Q8—1221no—
482C4×Q8—1221no—
483C4×Q8—1221no—
484C4×Q8—1221no—
485C4×D4—611no—
486C4×D4—611no—
487C4×D4—611no—
488C4×D4—611no—
489C4×D4—611no—
490C4×D4—611no—
491C4×D4—1222no—
492C4×D4—1222no—
493C4×D4—1222no—
494#117—611no—
495#117—611no—
496#117—611no—
497#117—612no—
498#117—612no—
499#117C4×D6112yes—
500C2×C4⋊C4—612no—
501C2×C4⋊C4—612no—
502C2×C4⋊C4—612no—
503C2×C4⋊C4—1221no—
504C2×C4⋊C4—1221no—
505C2×C4⋊C4—1221no—
506C2×C42—611no—
507C2×C42—611no—
508C2×C42C22×D6111yescharacteristic
509C4⋊C8—21no—
510C4⋊C8—611no—
511C4⋊C8—611no—
512C4⋊C8—611no—
513C4⋊C8—611no—
514C4⋊C8—1221no—
515C4⋊C8—1221no—
516C4⋊C8—1221no—
517C4⋊C8—1221no—
518C4⋊C8—1221no—
519C4⋊C8C22×D6111yescharacteristic
520C4⋊C8C22×D6111yescharacteristic
521C4⋊C8C22×D6111yescharacteristic
522C4⋊C8C22×D6111yescharacteristic
523C22⋊C8—21no—
524C22⋊C8—1221no—
525C22⋊C8—1221no—
526C22⋊C8—1221no—
527C22⋊C8—1221no—
528C22⋊C8—1221no—
529#97—21no—
530#97—1221no—
531#97—1221no—
532#97—1221no—
533C4×C8—1221no—
534C4×C8—1221no—
535#41—1224no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—611no—
539C2×Q8—1222no—
540C2×Q8—1222no—
541C2×Q8—1221no—
542C2×Q8—1221no—
543C2×Q8—1222no—
544C2×Q8—4881no—
545C2×Q8—4881no—
546C2×Q8—4881no—
547C2×Q8—4881no—
548C2×Q8—4881no—
549C2×Q8—4881no—
550C2×D4—611no—
551C2×D4—611no—
552C2×D4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4C2×C4×D6111yescharacteristic
563C22×C4D4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565M16—4881no—
566M16—4881no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—81no—
572C2×C8—1221no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—4881no—
577C2×C8—4881no—
578C2×C8—4881no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—611no—
584C4⋊C4—611no—
585C4⋊C4—611no—
586C4⋊C4—611no—
587C4⋊C4—611no—
588C4⋊C4—611no—
589C4⋊C4—612no—
590C4⋊C4—612no—
591C4⋊C4—1222no—
592C4⋊C4—1222no—
593C4⋊C4—1222no—
594C4⋊C4—1222no—
595C4⋊C4—1222no—
596C4⋊C4—1222no—
597C4⋊C4—1222no—
598C4⋊C4—1222no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C4⋊C4—1222no—
602C4⋊C4—1222no—
603C4⋊C4C2×C4×D6112yes—
604C4⋊C4C2×C4×D6112yes—
605C22⋊C4—22no—
606C22⋊C4—611no—
607C22⋊C4—611no—
608C22⋊C4—611no—
609C22⋊C4—611no—
610C22⋊C4—611no—
611C22⋊C4—611no—
612C22⋊C4—1222no—
613C22⋊C4—1222no—
614C42—22no—
615C42—611no—
616C42—611no—
617C42—611no—
618C42—611no—
619C42—611no—
620C42—611no—
621C42—1222no—
622C42—1222no—
623C42C2×C4×D6111yescharacteristic
624C42D4×D6111yescharacteristic
625C42D4×D6111yescharacteristic
626C42C23×D6111yescharacteristic
627C23—611no—
628C23—611no—
629C23C22⋊C4×D6111yescharacteristic
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—1222no—
635Q8—4882no—
636Q8—4882no—
637Q8—4882no—
638Q8—2441no—
639Q8—2441no—
640Q8—2441no—
641Q8—2441no—
642D4—614no—
643D4—1222no—
644D4—1222no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—611no—
653C2×C4—611no—
654C2×C4—611no—
655C2×C4—611no—
656C2×C4—611no—
657C2×C4—611no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—4882no—
671C2×C4—4882no—
672C2×C4—4882no—
673C2×C4C22⋊C4×D6111yescharacteristic
674C2×C4C22⋊C4×D6111yescharacteristic
675C2×C4C22⋊C4×D6111yescharacteristic
676C2×C4C22×C4×D6111yescharacteristic
677C2×C4C2×D4×D6111yescharacteristic
678C2×C4C2×D4×D6111yescharacteristic
679C8—41no—
680C8—41no—
681C8—41no—
682C8—41no—
683C8—2441no—
684C8—2441no—
685C8—2441no—
686C8—2441no—
687C22—21no—
688C22—21no—
689C22—612no—
690C22—1221no—
691C22—1221no—
692C22—1221no—
693C22—1221no—
694C22—1221no—
695C22#101×D6112yes—
696C22C2×C22⋊C4×D6111yescharacteristic
697C4—21no—
698C4—21no—
699C4—21no—
700C4—21no—
701C4—42no—
702C4—42no—
703C4—612no—
704C4—1221no—
705C4—1221no—
706C4—1221no—
707C4—1221no—
708C4—1221no—
709C4—2442no—
710C4—2442no—
711C4#1684056611yescharacteristic
712C4#1684056911yescharacteristic
713C4#1684057111yescharacteristic
714C4#1684057611yescharacteristic
715C2—22no—
716C2—1222no—
717C2—2441no—
718C2C2×#101×D6111yescharacteristic
719C2#2145434311yescharacteristic
720C2#2145434811yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1552C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#11758222C2×C4
cosocleC42×C61C24
hypercenter#1552D61
hypocenterC61#17774
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1552

Complements

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

NH ≅ G/Ntype
4. #21444555C2semidirect
5. #21444535C2semidirect
6. #21444534C2semidirect
7. #21444519C2semidirect
8. #21444518C2semidirect
9. #21444516C2semidirect
10. #21444502C2semidirect
11. #21444489C2semidirect
12. #21444482C2semidirect
13. C2×#16839509C2semidirect
14. #332×D61C2semidirect
15. C61×#1552C2semidirect
364. #1552D61semidirect
431. C61#17774semidirect

Maximal subgroups

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

subgroupindex
#214596312
#214549462
#214549412
#214445552
#214445352
#214445342
#214445192
#214445182
#214445162
#214445022
#214444892
#214444822
C2×#168395092
#332×D612
C61×#15522
#1777461