Finite Group Databasebeta

← #35422857

Subgroups — #35422857

Order 21248.

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×#19127821C211yesmaximal, characteristic
2C2×#19127816C211yesmaximal, characteristic
3#24916261C211yesmaximal, characteristic
4#24916028C211yesmaximal, characteristic, complemented
5#24908213C211yesmaximal, characteristic, complemented
6#24908208C211yesmaximal, characteristic, complemented
7#24907738C211yesmaximal, characteristic, complemented
8#24907738C211yesmaximal, characteristic, complemented
9#24907737C211yesmaximal, characteristic, complemented
10#24907737C211yesmaximal, characteristic, complemented
11#24907637C211yesmaximal, characteristic, complemented
12#24907483C211yesmaximal, characteristic, complemented
13#24907480C211yesmaximal, characteristic, complemented
14#24907340C211yesmaximal, characteristic, complemented
15C83×#2906C211yesmaximal, characteristic, complemented
16C2×#14581812C2211yescharacteristic
17C2×#14581798C2211yescharacteristic
18C2×#14581798C2211yescharacteristic
19C4×#13050590C2211yescharacteristic
20#19127821—24no—
21#19127816—24no—
22#19127811C411yescharacteristic, complemented
23#19127811C411yescharacteristic, complemented
24#19127806C411yescharacteristic, complemented
25#19127806C411yescharacteristic, complemented
26#19127801C411yescharacteristic, complemented
27#19127801C411yescharacteristic, complemented
28#19127799C411yescharacteristic, complemented
29#19127799C411yescharacteristic, complemented
30C2×#14581727C2211yescharacteristic
31C2×#14581727C2211yescharacteristic
32C2×#14581727C2211yescharacteristic
33C2×#14581727C2211yescharacteristic
34#19127737C2211yescharacteristic
35#19127727C2211yescharacteristic
36#19127727C2211yescharacteristic
37#19127726—21no—
38#19127726—21no—
39#19127725C2211yescharacteristic
40#19127723—21no—
41C4⋊C8×D83—21no—
42C2×#14581719C2211yescharacteristic
43C2×#14581719C2211yescharacteristic
44C2×#14581718C2211yescharacteristic
45C2×#14581718C2211yescharacteristic
46#19127697C2211yescharacteristic
47#19127695C2211yescharacteristic
48C2×#14581703C2211yescharacteristic
49C2×#14581702C2211yescharacteristic
50C2×C8×Dic83C2211yescharacteristic
51C4×C4⋊Dic83C2211yescharacteristic
52#19127462C2211yescharacteristic
53#19127462C2211yescharacteristic
54#19127460C2211yescharacteristic
55#19127460C2211yescharacteristic
56#19127455C2211yescharacteristic
57#19127455C2211yescharacteristic
58C2×#131×C83C2211yescharacteristic
59C2×#131×C83C2211yescharacteristic
60C4×#41×C83C2211yescharacteristic
61#424×C83—21no—
62#424×C83—21no—
63#424×C83C2211yescharacteristic
64#424×C83C2211yescharacteristic
65#423×C83—21no—
66#423×C83C2211yescharacteristic
67C2×C4⋊C8×C83—21no—
68C2×C4⋊C8×C83C2211yescharacteristic
69C2×#13050590C2311yescharacteristic
70#14581812D414yes—
71#14581812Q814yes—
72C2×#13050580C2×C411yescharacteristic
73C2×#13050578C2×C411yescharacteristic
74C2×#13050577C2×C411yescharacteristic
75C2×#13050575C2×C411yescharacteristic
76#14581798—22no—
77#14581798—22no—
78#14581798—41no—
79#14581798—41no—
80C2×#13050574C2311yescharacteristic
81C2×#13050574C2311yescharacteristic
82C2×#13050573—21no—
83C2×#13050573—21no—
84C22×C83⋊C8C2311yescharacteristic
85C22×C83⋊C8C2311yescharacteristic
86C2×C8×D83—21no—
87C2×C8×D83—21no—
88C4×Dic166C2×C411yescharacteristic
89C4×Dic166C2×C411yescharacteristic
90C4×D332C2×C411yescharacteristic
91C4×D332C2×C411yescharacteristic
92C4×C22⋊D83—21no—
93C4×C22⋊D83—21no—
94#14581751C2311yescharacteristic
95#14581749—21no—
96C2×C4⋊Dic83—21no—
97C2×C4×Dic83C2311yescharacteristic
98C2×C4×Dic83C2311yescharacteristic
99C42×D83—21no—
100#14581727—22no—
101#14581727—22no—
102#14581727—41no—
103#14581727—41no—
104#14581725C2×C411yescharacteristic
105#14581725C2×C411yescharacteristic
106#14581723C2×C411yescharacteristic
107#14581723C2×C411yescharacteristic
108C4⋊(C83⋊C8)—21no—
109C4⋊(C83⋊C8)—21no—
110Dic83⋊C8—21no—
111Dic83⋊C8—21no—
112Dic83⋊C8—21no—
113Dic83⋊C8—21no—
114#14581719—22no—
115#14581719—22no—
116#14581718—22no—
117#14581718—22no—
118#14581716C2×C411yescharacteristic
119#14581716C2×C411yescharacteristic
120#14581715C2×C411yescharacteristic
121#14581715C2×C411yescharacteristic
122#14581713C2×C411yescharacteristic
123#14581713C2×C411yescharacteristic
124#14581712C2×C411yescharacteristic
125#14581712C2×C411yescharacteristic
126#14581703C2×C411yescharacteristic
127#14581703C2×C411yescharacteristic
128#14581703C2×C411yescharacteristic
129#14581703C2×C411yescharacteristic
130#14581702—22no—
131C8×Dic83—22no—
132C83⋊#95—21no—
133C2×#41×C83C2311yescharacteristic
134#131×C83—22no—
135#131×C83—22no—
136#131×C83—41no—
137#131×C83—41no—
138C2×M16×C83—21no—
139C2×M16×C83—21no—
140C2×M16×C83C2311yescharacteristic
141C2×M16×C83C2311yescharacteristic
142C22×C8×C83—21no—
143C22×C8×C83—21no—
144C22×C8×C83C2311yescharacteristic
145C22×C8×C83C2311yescharacteristic
146C4×Q8×C83C2×C411yescharacteristic
147C4×Q8×C83C2×C411yescharacteristic
148C4×D4×C83—21no—
149C4×D4×C83—21no—
150C4×D4×C83C2×C411yescharacteristic
151C4×D4×C83C2×C411yescharacteristic
152#117×C83—21no—
153#117×C83C2311yescharacteristic
154C2×C42×C83—21no—
155C2×C42×C83C2311yescharacteristic
156C4⋊C8×C83—21no—
157C4⋊C8×C83—21no—
158C4⋊C8×C83—21no—
159C4⋊C8×C83—21no—
160C4⋊C8×C83—21no—
161C4⋊C8×C83—21no—
162C4⋊C8×C83D411yescharacteristic
163C4⋊C8×C83D411yescharacteristic
164C4⋊C8×C83D411yescharacteristic
165C4⋊C8×C83D411yescharacteristic
166#13050590—21no—
167#13050590—21no—
168#13050590C2×D412yes—
169#13050590C2×Q812yes—
170C2×Dic166C22×C411yescharacteristic
171C2×D332C22×C411yescharacteristic
172C2×C22⋊D83—21no—
173C22×Dic83—21no—
174C22×Dic83—21no—
175C2×C4×D83—21no—
176C2×C4×D83—21no—
177C2×C4×D83—21no—
178#13050580C4⋊C414yescomplemented
179#13050578C4⋊C414yescomplemented
180#13050577C4⋊C414yescomplemented
181#13050575C4⋊C414yescomplemented
182#13050574—21no—
183#13050574—21no—
184#13050574—21no—
185#13050574—21no—
186#13050573—42no—
187#13050573—42no—
188C2×C83⋊C8—21no—
189C2×C83⋊C8—21no—
190C2×C83⋊C8—21no—
191C2×C83⋊C8—21no—
192C2×C83⋊C8C22×C411yescharacteristic
193C2×C83⋊C8C22×C411yescharacteristic
194C2×C83⋊C8C22×C411yescharacteristic
195C2×C83⋊C8C22×C411yescharacteristic
196C2×C83⋊C8C2×D412yes—
197C2×C83⋊C8C2×Q812yes—
198C8×D83—42no—
199C8×D83—42no—
200C4⋊Dic83—42no—
201C4⋊Dic83C22×C411yescharacteristic
202C4⋊Dic83C22×C411yescharacteristic
203Dic83⋊C4—21no—
204Dic83⋊C4—21no—
205C22⋊Dic83—21no—
206(C2×D83)⋊C4—21no—
207(C2×D83)⋊C4—21no—
208C4×Dic83—21no—
209C4×Dic83—21no—
210C4×Dic83—21no—
211C4×Dic83—21no—
212C4×Dic83—21no—
213C4×Dic83—21no—
214C4×Dic83—21no—
215#41×C83—21no—
216#41×C83—21no—
217#41×C83C2×D412yes—
218#41×C83C2×Q812yes—
219C2×Q8×C83C22×C411yescharacteristic
220C2×D4×C83—21no—
221C2×D4×C83C22×C411yescharacteristic
222C22×C4×C83—21no—
223C22×C4×C83—21no—
224C22×C4×C83—21no—
225C22×C4×C83#4111yescharacteristic
226C22×C4×C83#4111yescharacteristic
227C22×C4×C83C2411yescharacteristic
228M16×C83—21no—
229M16×C83—21no—
230M16×C83—21no—
231M16×C83—21no—
232M16×C83—42no—
233M16×C83—42no—
234C2×C8×C83—21no—
235C2×C8×C83—21no—
236C2×C8×C83—21no—
237C2×C8×C83—21no—
238C2×C8×C83—21no—
239C2×C8×C83—21no—
240C2×C8×C83—42no—
241C2×C8×C83—42no—
242C2×C8×C83C2×D411yescharacteristic
243C2×C8×C83C2×D411yescharacteristic
244C2×C8×C83C2×D411yescharacteristic
245C2×C8×C83C2×D411yescharacteristic
246C4⋊C4×C83—21no—
247C4⋊C4×C83—21no—
248C4⋊C4×C83C22×C411yescharacteristic
249C4⋊C4×C83C22×C411yescharacteristic
250C22⋊C4×C83—21no—
251C22⋊C4×C83—21no—
252C22⋊C4×C83—21no—
253C42×C83—21no—
254C42×C83—21no—
255C42×C83—21no—
256C42×C83C22×C411yescharacteristic
257C42×C83C22×C411yescharacteristic
258C42×C83C2×D411yescharacteristic
259C42×C83C2×D411yescharacteristic
260C23×C83—21no—
261C23×C83C2×#4111yescharacteristic
262C22×D83—21no—
263Q8×C83—21no—
264Q8×C83C2×C4⋊C412yes—
265D4×C83—22no—
266D4×C83—22no—
267D4×C83—21no—
268D4×C83C2×C4⋊C412yes—
269C2×C4×C83—21no—
270C2×C4×C83—22no—
271C2×C4×C83—22no—
272C2×C4×C83—21no—
273C2×C4×C83—21no—
274C2×C4×C83—41no—
275C2×C4×C83—41no—
276C2×C4×C83—42no—
277C2×C4×C83—81no—
278C2×C4×C83C4×D411yescharacteristic
279C2×C4×C83C4×D411yescharacteristic
280C2×C4×C83C4×D411yescharacteristic
281C2×C4×C83C4×D411yescharacteristic
282C2×C4×C83C23×C411yescharacteristic
283C2×C4×C83C22×D411yescharacteristic
284C2×C4×C83C22×D411yescharacteristic
285C2×C4×C83C22×Q811yescharacteristic
286C2×C4×C83H(5,𝔽2)11yescharacteristic
287C2×C4×C832−1+411yescharacteristic
288C22⋊D83—22no—
289C22⋊D83—22no—
290C2×Dic83—21no—
291C2×Dic83—22no—
292C2×Dic83—21no—
293C2×Dic83—21no—
294C2×Dic83—41no—
295C2×Dic83—41no—
296C2×Dic83—41no—
297C2×Dic83—41no—
298C2×Dic83—41no—
299D332—21no—
300D332C2×C4⋊C412yes—
301C4×D83—22no—
302C4×D83—22no—
303C4×D83—42no—
304C4×D83—81no—
305Dic166—21no—
306Dic166C2×C4⋊C412yes—
307C8×C83—21no—
308C8×C83—21no—
309C8×C83—21no—
310C8×C83—21no—
311C8×C83—41no—
312C8×C83—41no—
313C83⋊C8—21no—
314C83⋊C8—21no—
315C83⋊C8—41no—
316C83⋊C8—41no—
317C83⋊C8C2×C4⋊C412yes—
318C83⋊C8C2×C4⋊C412yes—
319C22×C83—21no—
320C22×C83—21no—
321C22×C83—22no—
322C22×C83—41no—
323C22×C83—41no—
324C22×C83C2×C4×D411yescharacteristic
325C22×C83#54711yescharacteristic
326C22×C83#55411yescharacteristic
327C2×D83—22no—
328C2×D83—41no—
329C2×D83—41no—
330C4×C83—22no—
331C4×C83—21no—
332C4×C83—21no—
333C4×C83—21no—
334C4×C83—21no—
335C4×C83—41no—
336C4×C83—41no—
337C4×C83C22×C4⋊C411yescharacteristic
338C4×C83#52011yescharacteristic
339C4×C83D4211yescharacteristic
340C4×C83D4×Q811yescharacteristic
341Dic83—22no—
342Dic83—42no—
343Dic83—41no—
344Dic83—41no—
345Dic83—81no—
346#22687—831nomaximal, Sylow
347C2×C83—21no—
348C2×C83—21no—
349C2×C83—42no—
350C2×C83D4×C4⋊C411yescharacteristic
351C2×C83#295511yescharacteristic
352C2×C83#295611yescharacteristic
353D83—42no—
354C2×#444—831no—
355C2×#443—831no—
356#2943—831no—
357#2906—831no—
358#2906D8311yescharacteristic, complemented
359#1946—831no—
360#1945—831no—
361#1866—831no—
362#1866—831no—
363#1866—831no—
364#1866—831no—
365#1849—831no—
366#1806—831no—
367#1806—831no—
368#1771—831no—
369C83#2268711yescharacteristic, complemented, Sylow
370C2×#135—831no—
371C2×#131—831no—
372C2×#131—831no—
373C2×#131C2×D8311yescharacteristic
374C2×#131C2×D8311yescharacteristic
375C4×#41—831no—
376C4×#41C2×D8311yescharacteristic
377#444—1664no—
378#443—1664no—
379#442—831no—
380#442—831no—
381#441—831no—
382#441—831no—
383#440—831no—
384#440—831no—
385#440—831no—
386#440—831no—
387C2×#108—831no—
388C2×#108—831no—
389C2×#108—831no—
390C2×#108—831no—
391#427—831no—
392#424—21no—
393#424—21no—
394#424—831no—
395#424—831no—
396#424—1661no—
397#424—1661no—
398#424C2×D8311yescharacteristic
399#424C2×D8311yescharacteristic
400#423—21no—
401#423—831no—
402#423—1661no—
403#423C2×D8311yescharacteristic
404C2×C4⋊C8—21no—
405C2×C4⋊C8—1661no—
406C2×C4⋊C8C2×D8311yescharacteristic
407C2×#104—831no—
408C2×#104—831no—
409C2×#104—831no—
410C2×#104—831no—
411#416—831no—
412#416—831no—
413C2×#97—831no—
414C2×#97—831no—
415C2×C4×C8—831no—
416C4×C4⋊C4—831no—
417#339—831no—
418#339—831no—
419#339—831no—
420#339—831no—
421#336—831no—
422#336—831no—
423C2×#41—831no—
424C2×#41C22×D8311yescharacteristic
425#135—834no—
426#135—834no—
427C2×Q16—831no—
428C2×SD16—831no—
429C2×SD16—831no—
430C2×D8—831no—
431#131—22no—
432#131—22no—
433#131—41no—
434#131—41no—
435#131—3321no—
436#131—3321no—
437#131—1662no—
438#131—1662no—
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—831no—
442C2×M16—831no—
443C2×M16—1661no—
444C2×M16—1661no—
445C2×M16C22×D8311yescharacteristic
446C2×M16C22×D8311yescharacteristic
447C22×C8—21no—
448C22×C8—21no—
449C22×C8—831no—
450C22×C8—831no—
451C22×C8—1661no—
452C22×C8—1661no—
453C22×C8C22×D8311yescharacteristic
454C22×C8C22×D8311yescharacteristic
455C4×Q8—831no—
456C4×Q8—831no—
457C4×Q8C4×D8311yescharacteristic
458C4×Q8C4×D8311yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—831no—
462C4×D4—831no—
463C4×D4—1661no—
464C4×D4—1661no—
465C4×D4C4×D8311yescharacteristic
466C4×D4C4×D8311yescharacteristic
467#117—21no—
468#117—831no—
469#117—1661no—
470#117C22×D8311yescharacteristic
471C2×C4⋊C4—1661no—
472C2×C42—21no—
473C2×C42—831no—
474C2×C42—831no—
475C2×C42—1661no—
476C2×C42C22×D8311yescharacteristic
477#108—3321no—
478#108—3321no—
479#108—1662no—
480#108—1662no—
481#107—831no—
482#107—831no—
483#106—831no—
484#106—831no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—21no—
488C4⋊C8—21no—
489C4⋊C8—21no—
490C4⋊C8—21no—
491C4⋊C8—1661no—
492C4⋊C8—1661no—
493C4⋊C8—1661no—
494C4⋊C8—1661no—
495C4⋊C8—1661no—
496C4⋊C8—1661no—
497C4⋊C8C22⋊D8311yescharacteristic
498C4⋊C8C22⋊D8311yescharacteristic
499C4⋊C8C22⋊D8311yescharacteristic
500C4⋊C8C22⋊D8311yescharacteristic
501#104—1662no—
502#104—1662no—
503#104—1662no—
504#104—1662no—
505#103—831no—
506#103—831no—
507#103—831no—
508#103—831no—
509#102—831no—
510#102—831no—
511#102—831no—
512#102—831no—
513#97—831no—
514#97—831no—
515#97—831no—
516#97—831no—
517#97—1662no—
518C4×C8—1662no—
519#95—1661no—
520#41—21no—
521#41—21no—
522#41—832no—
523#41—832no—
524#41—1661no—
525#41—1661no—
526#41D4×D8312yes—
527#41Q8×D8312yes—
528C2×Q8—831no—
529C2×Q8C2×C4×D8311yescharacteristic
530C2×D4—21no—
531C2×D4—831no—
532C2×D4—1661no—
533C2×D4C2×C4×D8311yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—1661no—
538C22×C4—1661no—
539C22×C4—1661no—
540C22×C4—1661no—
541C22×C4—1661no—
542C22×C4#1305059011yescharacteristic
543C22×C4#1305059011yescharacteristic
544C22×C4C23×D8311yescharacteristic
545Q16—834no—
546SD16—834no—
547SD16—834no—
548D8—834no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—42no—
554M16—42no—
555M16—3322no—
556M16—3322no—
557M16—1661no—
558M16—1661no—
559M16—1661no—
560M16—1661no—
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—3322no—
570C2×C8—3322no—
571C2×C8—831no—
572C2×C8—831no—
573C2×C8—832no—
574C2×C8—832no—
575C2×C8—831no—
576C2×C8—831no—
577C2×C8—1661no—
578C2×C8—1661no—
579C2×C8—1661no—
580C2×C8—1661no—
581C2×C8C2×C22⋊D8311yescharacteristic
582C2×C8C2×C22⋊D8311yescharacteristic
583C2×C8C2×C22⋊D8311yescharacteristic
584C2×C8C2×C22⋊D8311yescharacteristic
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—3322no—
588C4⋊C4—831no—
589C4⋊C4—831no—
590C4⋊C4—1661no—
591C4⋊C4—1661no—
592C4⋊C4C2×C4×D8311yescharacteristic
593C4⋊C4C2×C4×D8311yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—1661no—
598C22⋊C4—1661no—
599C22⋊C4—1661no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—1661no—
604C42—1661no—
605C42—1661no—
606C42—1661no—
607C42—1661no—
608C42—1661no—
609C42—1661no—
610C42C2×C4×D8311yescharacteristic
611C42C2×C4×D8311yescharacteristic
612C42C2×C22⋊D8311yescharacteristic
613C42C2×C22⋊D8311yescharacteristic
614C23—21no—
615C23—1661no—
616C23C2×#1305059011yescharacteristic
617Q8—21no—
618Q8—832no—
619Q8—1661no—
620Q8C4⋊C4×D8312yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—832no—
625D4—1662no—
626D4—1662no—
627D4—1661no—
628D4C4⋊C4×D8312yes—
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—3322no—
639C2×C4—3321no—
640C2×C4—3321no—
641C2×C4—3321no—
642C2×C4—3321no—
643C2×C4—3321no—
644C2×C4—6641no—
645C2×C4—1662no—
646C2×C4—1661no—
647C2×C4—1661no—
648C2×C4—1661no—
649C2×C4—1662no—
650C2×C4—1662no—
651C2×C4C4×C22⋊D8311yescharacteristic
652C2×C4C4×C22⋊D8311yescharacteristic
653C2×C4C4×C22⋊D8311yescharacteristic
654C2×C4C4×C22⋊D8311yescharacteristic
655C2×C4C22×C4×D8311yescharacteristic
656C2×C4C2×D4×D8311yescharacteristic
657C2×C4C22×C22⋊D8311yescharacteristic
658C2×C4C2×Q8×D8311yescharacteristic
659C2×C4#1458183711yescharacteristic
660C2×C4#1458184011yescharacteristic
661C8—21no—
662C8—21no—
663C8—21no—
664C8—21no—
665C8—41no—
666C8—41no—
667C8—3321no—
668C8—3321no—
669C8—832no—
670C8—832no—
671C8—1661no—
672C8—1661no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—3321no—
679C22—3321no—
680C22—1662no—
681C22C2×C4×C22⋊D8311yescharacteristic
682C22#1912835211yescharacteristic
683C22#1912840611yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—41no—
690C4—41no—
691C4—3322no—
692C4—3321no—
693C4—3321no—
694C4—6641no—
695C4—1662no—
696C4C2×C4⋊C4×D8311yescharacteristic
697C4#1912818211yescharacteristic
698C4D4×C22⋊D8311yescharacteristic
699C4Q8×C22⋊D8311yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—3322no—
704C2C4⋊C4×C22⋊D8311yescharacteristic
705C2#2491636411yescharacteristic
706C2#2491637011yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#2906C2
socleC22×C83C2×C4×D4
prime radicalC2×#14581812C22
cosocleC22×C4×C83C24
hypercenter#2906D83
hypocenterC83#22687
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #24916028C2semidirect
5. #24908213C2semidirect
6. #24908208C2semidirect
7. #24907738C2semidirect
8. #24907738C2semidirect
9. #24907737C2semidirect
10. #24907737C2semidirect
11. #24907637C2semidirect
12. #24907483C2semidirect
13. #24907480C2semidirect
14. #24907340C2semidirect
15. C83×#2906C2semidirect
22. #19127811C4semidirect
23. #19127811C4semidirect
24. #19127806C4semidirect
25. #19127806C4semidirect
26. #19127801C4semidirect
27. #19127801C4semidirect
28. #19127799C4semidirect
29. #19127799C4semidirect
178. #13050580C4⋊C4semidirect
179. #13050578C4⋊C4semidirect
180. #13050577C4⋊C4semidirect
181. #13050575C4⋊C4semidirect
358. #2906D83semidirect
369. C83#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#191278212
C2×#191278162
#249162612
#249160282
#249082132
#249082082
#249077382
#249077372
#249076372
#249074832
#249074802
#249073402
C83×#29062
#2268783