Finite Group Databasebeta

← #28607142

Subgroups — #28607142

Order 15104.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837522C211yesmaximal, characteristic
2C2×#16837517C211yesmaximal, characteristic
3#21432894C211yesmaximal, characteristic
4#21432661C211yesmaximal, characteristic, complemented
5#21424846C211yesmaximal, characteristic, complemented
6#21424841C211yesmaximal, characteristic, complemented
7#21424371C211yesmaximal, characteristic, complemented
8#21424371C211yesmaximal, characteristic, complemented
9#21424370C211yesmaximal, characteristic, complemented
10#21424370C211yesmaximal, characteristic, complemented
11#21424270C211yesmaximal, characteristic, complemented
12#21424116C211yesmaximal, characteristic, complemented
13#21424113C211yesmaximal, characteristic, complemented
14#21423973C211yesmaximal, characteristic, complemented
15C59×#2906C211yesmaximal, characteristic, complemented
16C2×#14273747C2211yescharacteristic
17C2×#14273733C2211yescharacteristic
18C2×#14273733C2211yescharacteristic
19C4×#11745685C2211yescharacteristic
20#16837522—24no—
21#16837517—24no—
22#16837512C411yescharacteristic, complemented
23#16837512C411yescharacteristic, complemented
24#16837507C411yescharacteristic, complemented
25#16837507C411yescharacteristic, complemented
26#16837502C411yescharacteristic, complemented
27#16837502C411yescharacteristic, complemented
28#16837500C411yescharacteristic, complemented
29#16837500C411yescharacteristic, complemented
30C2×#14273662C2211yescharacteristic
31C2×#14273662C2211yescharacteristic
32C2×#14273662C2211yescharacteristic
33C2×#14273662C2211yescharacteristic
34#16837438C2211yescharacteristic
35#16837428C2211yescharacteristic
36#16837428C2211yescharacteristic
37#16837427—21no—
38#16837427—21no—
39#16837426C2211yescharacteristic
40#16837424—21no—
41C4⋊C8×D59—21no—
42C2×#14273654C2211yescharacteristic
43C2×#14273654C2211yescharacteristic
44C2×#14273653C2211yescharacteristic
45C2×#14273653C2211yescharacteristic
46#16837398C2211yescharacteristic
47#16837396C2211yescharacteristic
48C2×#14273638C2211yescharacteristic
49C2×#14273637C2211yescharacteristic
50C2×C8×Dic59C2211yescharacteristic
51C4×C4⋊Dic59C2211yescharacteristic
52#16837163C2211yescharacteristic
53#16837163C2211yescharacteristic
54#16837161C2211yescharacteristic
55#16837161C2211yescharacteristic
56#16837156C2211yescharacteristic
57#16837156C2211yescharacteristic
58C2×#131×C59C2211yescharacteristic
59C2×#131×C59C2211yescharacteristic
60C4×#41×C59C2211yescharacteristic
61C59×#424—21no—
62C59×#424—21no—
63C59×#424C2211yescharacteristic
64C59×#424C2211yescharacteristic
65C59×#423—21no—
66C59×#423C2211yescharacteristic
67C2×C4⋊C8×C59—21no—
68C2×C4⋊C8×C59C2211yescharacteristic
69C2×#11745685C2311yescharacteristic
70#14273747D414yes—
71#14273747Q814yes—
72C2×#11745672C2×C411yescharacteristic
73C2×#11745670C2×C411yescharacteristic
74C2×#11745671C2×C411yescharacteristic
75C2×#11745669C2×C411yescharacteristic
76#14273733—22no—
77#14273733—22no—
78#14273733—41no—
79#14273733—41no—
80C2×#11745664C2311yescharacteristic
81C2×#11745664C2311yescharacteristic
82C2×#11745659—21no—
83C2×#11745659—21no—
84C22×C59⋊C8C2311yescharacteristic
85C22×C59⋊C8C2311yescharacteristic
86C2×C8×D59—21no—
87C2×C8×D59—21no—
88C4×Dic118C2×C411yescharacteristic
89C4×Dic118C2×C411yescharacteristic
90C4×D236C2×C411yescharacteristic
91C4×D236C2×C411yescharacteristic
92C4×C22⋊D59—21no—
93C4×C22⋊D59—21no—
94#14273686C2311yescharacteristic
95#14273684—21no—
96C2×C4⋊Dic59—21no—
97C2×C4×Dic59C2311yescharacteristic
98C2×C4×Dic59C2311yescharacteristic
99C42×D59—21no—
100#14273662—22no—
101#14273662—22no—
102#14273662—41no—
103#14273662—41no—
104#14273660C2×C411yescharacteristic
105#14273660C2×C411yescharacteristic
106#14273658C2×C411yescharacteristic
107#14273658C2×C411yescharacteristic
108C4⋊(C59⋊C8)—21no—
109C4⋊(C59⋊C8)—21no—
110Dic59⋊C8—21no—
111Dic59⋊C8—21no—
112Dic59⋊C8—21no—
113Dic59⋊C8—21no—
114#14273654—22no—
115#14273654—22no—
116#14273653—22no—
117#14273653—22no—
118#14273651C2×C411yescharacteristic
119#14273651C2×C411yescharacteristic
120#14273650C2×C411yescharacteristic
121#14273650C2×C411yescharacteristic
122#14273648C2×C411yescharacteristic
123#14273648C2×C411yescharacteristic
124#14273647C2×C411yescharacteristic
125#14273647C2×C411yescharacteristic
126#14273638C2×C411yescharacteristic
127#14273638C2×C411yescharacteristic
128#14273638C2×C411yescharacteristic
129#14273638C2×C411yescharacteristic
130#14273637—22no—
131C8×Dic59—22no—
132C59⋊#95—21no—
133C2×#41×C59C2311yescharacteristic
134#131×C59—22no—
135#131×C59—22no—
136#131×C59—41no—
137#131×C59—41no—
138C2×M16×C59—21no—
139C2×M16×C59—21no—
140C2×M16×C59C2311yescharacteristic
141C2×M16×C59C2311yescharacteristic
142C22×C8×C59—21no—
143C22×C8×C59—21no—
144C22×C8×C59C2311yescharacteristic
145C22×C8×C59C2311yescharacteristic
146C4×Q8×C59C2×C411yescharacteristic
147C4×Q8×C59C2×C411yescharacteristic
148C4×D4×C59—21no—
149C4×D4×C59—21no—
150C4×D4×C59C2×C411yescharacteristic
151C4×D4×C59C2×C411yescharacteristic
152#117×C59—21no—
153#117×C59C2311yescharacteristic
154C2×C42×C59—21no—
155C2×C42×C59C2311yescharacteristic
156C4⋊C8×C59—21no—
157C4⋊C8×C59—21no—
158C4⋊C8×C59—21no—
159C4⋊C8×C59—21no—
160C4⋊C8×C59—21no—
161C4⋊C8×C59—21no—
162C4⋊C8×C59D411yescharacteristic
163C4⋊C8×C59D411yescharacteristic
164C4⋊C8×C59D411yescharacteristic
165C4⋊C8×C59D411yescharacteristic
166#41×C59—21no—
167#41×C59—21no—
168#41×C59C2×D412yes—
169#41×C59C2×Q812yes—
170C2×Q8×C59C22×C411yescharacteristic
171C2×D4×C59—21no—
172C2×D4×C59C22×C411yescharacteristic
173C22×C4×C59—21no—
174C22×C4×C59—21no—
175C22×C4×C59—21no—
176C22×C4×C59#4111yescharacteristic
177C22×C4×C59#4111yescharacteristic
178C22×C4×C59C2411yescharacteristic
179C2×C22⋊D59—21no—
180C22×Dic59—21no—
181C22×Dic59—21no—
182#11745685—21no—
183#11745685—21no—
184#11745685C2×D412yes—
185#11745685C2×Q812yes—
186C2×D236C22×C411yescharacteristic
187C2×C4×D59—21no—
188C2×C4×D59—21no—
189C2×C4×D59—21no—
190C2×Dic118C22×C411yescharacteristic
191M16×C59—21no—
192M16×C59—21no—
193M16×C59—21no—
194M16×C59—21no—
195M16×C59—42no—
196M16×C59—42no—
197C2×C8×C59—21no—
198C2×C8×C59—21no—
199C2×C8×C59—21no—
200C2×C8×C59—21no—
201C2×C8×C59—21no—
202C2×C8×C59—21no—
203C2×C8×C59—42no—
204C2×C8×C59—42no—
205C2×C8×C59C2×D411yescharacteristic
206C2×C8×C59C2×D411yescharacteristic
207C2×C8×C59C2×D411yescharacteristic
208C2×C8×C59C2×D411yescharacteristic
209C4⋊C4×C59—21no—
210C4⋊C4×C59—21no—
211C4⋊C4×C59C22×C411yescharacteristic
212C4⋊C4×C59C22×C411yescharacteristic
213C22⋊C4×C59—21no—
214C22⋊C4×C59—21no—
215C22⋊C4×C59—21no—
216C42×C59—21no—
217C42×C59—21no—
218C42×C59—21no—
219C42×C59C22×C411yescharacteristic
220C42×C59C22×C411yescharacteristic
221C42×C59C2×D411yescharacteristic
222C42×C59C2×D411yescharacteristic
223C22⋊Dic59—21no—
224#11745672C4⋊C414yescomplemented
225#11745671C4⋊C414yescomplemented
226#11745670C4⋊C414yescomplemented
227#11745669C4⋊C414yescomplemented
228(C2×D59)⋊C4—21no—
229(C2×D59)⋊C4—21no—
230C4⋊Dic59—42no—
231C4⋊Dic59C22×C411yescharacteristic
232C4⋊Dic59C22×C411yescharacteristic
233Dic59⋊C4—21no—
234Dic59⋊C4—21no—
235C4×Dic59—21no—
236C4×Dic59—21no—
237C4×Dic59—21no—
238C4×Dic59—21no—
239C4×Dic59—21no—
240C4×Dic59—21no—
241C4×Dic59—21no—
242#11745664—21no—
243#11745664—21no—
244#11745664—21no—
245#11745664—21no—
246C2×C59⋊C8—21no—
247C2×C59⋊C8—21no—
248C2×C59⋊C8—21no—
249C2×C59⋊C8—21no—
250C2×C59⋊C8C22×C411yescharacteristic
251C2×C59⋊C8C22×C411yescharacteristic
252C2×C59⋊C8C22×C411yescharacteristic
253C2×C59⋊C8C22×C411yescharacteristic
254C2×C59⋊C8C2×D412yes—
255C2×C59⋊C8C2×Q812yes—
256#11745659—42no—
257#11745659—42no—
258C8×D59—42no—
259C8×D59—42no—
260C23×C59—21no—
261C23×C59C2×#4111yescharacteristic
262C22×D59—21no—
263Q8×C59—21no—
264Q8×C59C2×C4⋊C412yes—
265D4×C59—22no—
266D4×C59—22no—
267D4×C59—21no—
268D4×C59C2×C4⋊C412yes—
269C2×C4×C59—21no—
270C2×C4×C59—22no—
271C2×C4×C59—22no—
272C2×C4×C59—21no—
273C2×C4×C59—21no—
274C2×C4×C59—41no—
275C2×C4×C59—41no—
276C2×C4×C59—42no—
277C2×C4×C59—81no—
278C2×C4×C59C4×D411yescharacteristic
279C2×C4×C59C4×D411yescharacteristic
280C2×C4×C59C4×D411yescharacteristic
281C2×C4×C59C4×D411yescharacteristic
282C2×C4×C59C23×C411yescharacteristic
283C2×C4×C59C22×D411yescharacteristic
284C2×C4×C59C22×D411yescharacteristic
285C2×C4×C59C22×Q811yescharacteristic
286C2×C4×C59H(5,𝔽2)11yescharacteristic
287C2×C4×C592−1+411yescharacteristic
288C22⋊D59—22no—
289C22⋊D59—22no—
290C2×Dic59—21no—
291C2×Dic59—22no—
292C2×Dic59—21no—
293C2×Dic59—21no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299D236—21no—
300D236C2×C4⋊C412yes—
301C4×D59—22no—
302C4×D59—22no—
303C4×D59—42no—
304C4×D59—81no—
305Dic118—21no—
306Dic118C2×C4⋊C412yes—
307C8×C59—21no—
308C8×C59—21no—
309C8×C59—21no—
310C8×C59—21no—
311C8×C59—41no—
312C8×C59—41no—
313C59⋊C8—21no—
314C59⋊C8—21no—
315C59⋊C8—41no—
316C59⋊C8—41no—
317C59⋊C8C2×C4⋊C412yes—
318C59⋊C8C2×C4⋊C412yes—
319#22687—591nomaximal, Sylow
320C22×C59—21no—
321C22×C59—21no—
322C22×C59—22no—
323C22×C59—41no—
324C22×C59—41no—
325C22×C59C2×C4×D411yescharacteristic
326C22×C59#54711yescharacteristic
327C22×C59#55411yescharacteristic
328C2×D59—22no—
329C2×D59—41no—
330C2×D59—41no—
331C4×C59—22no—
332C4×C59—21no—
333C4×C59—21no—
334C4×C59—21no—
335C4×C59—21no—
336C4×C59—41no—
337C4×C59—41no—
338C4×C59C22×C4⋊C411yescharacteristic
339C4×C59#52011yescharacteristic
340C4×C59D4211yescharacteristic
341C4×C59D4×Q811yescharacteristic
342Dic59—22no—
343Dic59—42no—
344Dic59—41no—
345Dic59—41no—
346Dic59—81no—
347C2×#444—591no—
348C2×#443—591no—
349#2943—591no—
350#2906—591no—
351#2906D5911yescharacteristic, complemented
352#1946—591no—
353#1945—591no—
354#1866—591no—
355#1866—591no—
356#1866—591no—
357#1866—591no—
358#1849—591no—
359#1806—591no—
360#1806—591no—
361#1771—591no—
362C2×C59—21no—
363C2×C59—21no—
364C2×C59—42no—
365C2×C59D4×C4⋊C411yescharacteristic
366C2×C59#295511yescharacteristic
367C2×C59#295611yescharacteristic
368D59—42no—
369C2×#135—591no—
370C2×#131—591no—
371C2×#131—591no—
372C2×#131C2×D5911yescharacteristic
373C2×#131C2×D5911yescharacteristic
374C4×#41—591no—
375C4×#41C2×D5911yescharacteristic
376#444—1184no—
377#443—1184no—
378#442—591no—
379#442—591no—
380#441—591no—
381#441—591no—
382#440—591no—
383#440—591no—
384#440—591no—
385#440—591no—
386C2×#108—591no—
387C2×#108—591no—
388C2×#108—591no—
389C2×#108—591no—
390#427—591no—
391#424—21no—
392#424—21no—
393#424—591no—
394#424—591no—
395#424—1181no—
396#424—1181no—
397#424C2×D5911yescharacteristic
398#424C2×D5911yescharacteristic
399#423—21no—
400#423—591no—
401#423—1181no—
402#423C2×D5911yescharacteristic
403C2×C4⋊C8—21no—
404C2×C4⋊C8—1181no—
405C2×C4⋊C8C2×D5911yescharacteristic
406C2×#104—591no—
407C2×#104—591no—
408C2×#104—591no—
409C2×#104—591no—
410#416—591no—
411#416—591no—
412C2×#97—591no—
413C2×#97—591no—
414C2×C4×C8—591no—
415C4×C4⋊C4—591no—
416#339—591no—
417#339—591no—
418#339—591no—
419#339—591no—
420#336—591no—
421#336—591no—
422C59#2268711yescharacteristic, complemented, Sylow
423C2×#41—591no—
424C2×#41C22×D5911yescharacteristic
425#135—594no—
426#135—594no—
427C2×Q16—591no—
428C2×SD16—591no—
429C2×SD16—591no—
430C2×D8—591no—
431#131—22no—
432#131—22no—
433#131—41no—
434#131—41no—
435#131—1182no—
436#131—1182no—
437#131—2361no—
438#131—2361no—
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—591no—
442C2×M16—591no—
443C2×M16—1181no—
444C2×M16—1181no—
445C2×M16C22×D5911yescharacteristic
446C2×M16C22×D5911yescharacteristic
447C22×C8—21no—
448C22×C8—21no—
449C22×C8—591no—
450C22×C8—591no—
451C22×C8—1181no—
452C22×C8—1181no—
453C22×C8C22×D5911yescharacteristic
454C22×C8C22×D5911yescharacteristic
455C4×Q8—591no—
456C4×Q8—591no—
457C4×Q8C4×D5911yescharacteristic
458C4×Q8C4×D5911yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—591no—
462C4×D4—591no—
463C4×D4—1181no—
464C4×D4—1181no—
465C4×D4C4×D5911yescharacteristic
466C4×D4C4×D5911yescharacteristic
467#117—21no—
468#117—591no—
469#117—1181no—
470#117C22×D5911yescharacteristic
471C2×C4⋊C4—1181no—
472C2×C42—21no—
473C2×C42—591no—
474C2×C42—591no—
475C2×C42—1181no—
476C2×C42C22×D5911yescharacteristic
477#108—1182no—
478#108—1182no—
479#108—2361no—
480#108—2361no—
481#107—591no—
482#107—591no—
483#106—591no—
484#106—591no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—21no—
488C4⋊C8—21no—
489C4⋊C8—21no—
490C4⋊C8—21no—
491C4⋊C8—1181no—
492C4⋊C8—1181no—
493C4⋊C8—1181no—
494C4⋊C8—1181no—
495C4⋊C8—1181no—
496C4⋊C8—1181no—
497C4⋊C8C22⋊D5911yescharacteristic
498C4⋊C8C22⋊D5911yescharacteristic
499C4⋊C8C22⋊D5911yescharacteristic
500C4⋊C8C22⋊D5911yescharacteristic
501#104—1182no—
502#104—1182no—
503#104—1182no—
504#104—1182no—
505#103—591no—
506#103—591no—
507#103—591no—
508#103—591no—
509#102—591no—
510#102—591no—
511#102—591no—
512#102—591no—
513#97—591no—
514#97—591no—
515#97—591no—
516#97—591no—
517#97—1182no—
518C4×C8—1182no—
519#95—1181no—
520#41—21no—
521#41—21no—
522#41—592no—
523#41—592no—
524#41—1181no—
525#41—1181no—
526#41D4×D5912yes—
527#41Q8×D5912yes—
528C2×Q8—591no—
529C2×Q8C2×C4×D5911yescharacteristic
530C2×D4—21no—
531C2×D4—591no—
532C2×D4—1181no—
533C2×D4C2×C4×D5911yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—1181no—
538C22×C4—1181no—
539C22×C4—1181no—
540C22×C4—1181no—
541C22×C4—1181no—
542C22×C4#1174568511yescharacteristic
543C22×C4#1174568511yescharacteristic
544C22×C4C23×D5911yescharacteristic
545Q16—594no—
546SD16—594no—
547SD16—594no—
548D8—594no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—42no—
554M16—42no—
555M16—1181no—
556M16—1181no—
557M16—1181no—
558M16—1181no—
559M16—2362no—
560M16—2362no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—591no—
570C2×C8—591no—
571C2×C8—592no—
572C2×C8—592no—
573C2×C8—591no—
574C2×C8—591no—
575C2×C8—1181no—
576C2×C8—1181no—
577C2×C8—1181no—
578C2×C8—1181no—
579C2×C8—2362no—
580C2×C8—2362no—
581C2×C8C2×C22⋊D5911yescharacteristic
582C2×C8C2×C22⋊D5911yescharacteristic
583C2×C8C2×C22⋊D5911yescharacteristic
584C2×C8C2×C22⋊D5911yescharacteristic
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—591no—
588C4⋊C4—591no—
589C4⋊C4—1181no—
590C4⋊C4—1181no—
591C4⋊C4—2362no—
592C4⋊C4C2×C4×D5911yescharacteristic
593C4⋊C4C2×C4×D5911yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—1181no—
598C22⋊C4—1181no—
599C22⋊C4—1181no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—1181no—
604C42—1181no—
605C42—1181no—
606C42—1181no—
607C42—1181no—
608C42—1181no—
609C42—1181no—
610C42C2×C4×D5911yescharacteristic
611C42C2×C4×D5911yescharacteristic
612C42C2×C22⋊D5911yescharacteristic
613C42C2×C22⋊D5911yescharacteristic
614C23—21no—
615C23—1181no—
616C23C2×#1174568511yescharacteristic
617Q8—21no—
618Q8—592no—
619Q8—1181no—
620Q8C4⋊C4×D5912yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—592no—
625D4—1182no—
626D4—1182no—
627D4—1181no—
628D4C4⋊C4×D5912yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—81no—
638C2×C4—1181no—
639C2×C4—1182no—
640C2×C4—1182no—
641C2×C4—1182no—
642C2×C4—1181no—
643C2×C4—1181no—
644C2×C4—4721no—
645C2×C4—2362no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
651C2×C4C4×C22⋊D5911yescharacteristic
652C2×C4C4×C22⋊D5911yescharacteristic
653C2×C4C4×C22⋊D5911yescharacteristic
654C2×C4C4×C22⋊D5911yescharacteristic
655C2×C4C22×C4×D5911yescharacteristic
656C2×C4C2×D4×D5911yescharacteristic
657C2×C4C22×C22⋊D5911yescharacteristic
658C2×C4C2×Q8×D5911yescharacteristic
659C2×C4#1427377211yescharacteristic
660C2×C4#1427377511yescharacteristic
661C8—21no—
662C8—21no—
663C8—21no—
664C8—21no—
665C8—41no—
666C8—41no—
667C8—592no—
668C8—592no—
669C8—1181no—
670C8—1181no—
671C8—2361no—
672C8—2361no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—1182no—
679C22—2361no—
680C22—2361no—
681C22C2×C4×C22⋊D5911yescharacteristic
682C22#1683805311yescharacteristic
683C22#1683810711yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—41no—
690C4—41no—
691C4—1182no—
692C4—4721no—
693C4—2362no—
694C4—2361no—
695C4—2361no—
696C4C2×C4⋊C4×D5911yescharacteristic
697C4#1683788311yescharacteristic
698C4D4×C22⋊D5911yescharacteristic
699C4Q8×C22⋊D5911yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—2362no—
704C2C4⋊C4×C22⋊D5911yescharacteristic
705C2#2143299711yescharacteristic
706C2#2143300311yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2906C2
socleC22×C59C2×C4×D4
prime radicalC2×#14273747C22
cosocleC22×C4×C59C24
hypercenter#2906D59
hypocenterC59#22687
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #21432661C2semidirect
5. #21424846C2semidirect
6. #21424841C2semidirect
7. #21424371C2semidirect
8. #21424371C2semidirect
9. #21424370C2semidirect
10. #21424370C2semidirect
11. #21424270C2semidirect
12. #21424116C2semidirect
13. #21424113C2semidirect
14. #21423973C2semidirect
15. C59×#2906C2semidirect
22. #16837512C4semidirect
23. #16837512C4semidirect
24. #16837507C4semidirect
25. #16837507C4semidirect
26. #16837502C4semidirect
27. #16837502C4semidirect
28. #16837500C4semidirect
29. #16837500C4semidirect
224. #11745672C4⋊C4semidirect
225. #11745671C4⋊C4semidirect
226. #11745670C4⋊C4semidirect
227. #11745669C4⋊C4semidirect
351. #2906D59semidirect
422. C59#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#168375222
C2×#168375172
#214328942
#214326612
#214248462
#214248412
#214243712
#214243702
#214242702
#214241162
#214241132
#214239732
C59×#29062
#2268759