Finite Group Databasebeta

← #35372180

Subgroups — #35372180

Order 21248.

1074 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
1#24921302C211yesmaximal, characteristic
2#24916492C211yesmaximal, characteristic, complemented
3#24906034C211yesmaximal, characteristic, complemented
4#24906030C211yesmaximal, characteristic, complemented
5#24906004C212yesmaximal, complemented
6#24905999C212yesmaximal, complemented
7#24905986C212yesmaximal, complemented
8#24905965C212yesmaximal, complemented
9C2×#19127437C211yesmaximal, characteristic, complemented
10C2×#19127434C211yesmaximal, characteristic, complemented
11C83×#2349C211yesmaximal, characteristic, complemented
12#19128400—22no—
13#19128397C412yescomplemented
14#19128391C412yescomplemented
15#19128380—22no—
16#19128360C412yescomplemented
17#19128347C412yescomplemented
18#19128298—21no—
19#19128289—21no—
20#19128260—21no—
21#19128235C2212yes—
22#19128212C2212yes—
23C2×#14581771C2211yescharacteristic
24C2×#14581766C2211yescharacteristic
25#19128174—21no—
26#19127773—22no—
27#19127773—22no—
28#19127758C2212yescomplemented
29#19127665C2212yescomplemented
30C2×C22⋊(C83⋊C8)C2211yescharacteristic
31C2×C22⋊(C83⋊C8)C2211yescharacteristic
32#19127437C2212yescomplemented
33#19127437C2212yescomplemented
34#19127437C2212yescomplemented
35#19127437C2212yescomplemented
36#19127434C2212yes—
37#19127434C2212yes—
38#19127434C2212yes—
39#19127434C2212yes—
40C2×C4×D4×C83—21no—
41C2×C4×D4×C83C2211yescharacteristic
42#389×C83—21no—
43#385×C83—21no—
44#385×C83—21no—
45#382×C83C2211yescharacteristic, complemented
46#380×C83C2211yescharacteristic
47#380×C83C2211yescharacteristic, complemented
48C4×C4⋊C4×C83C2211yescharacteristic, complemented
49C2×#95×C83C2211yescharacteristic
50C2×#95×C83C2211yescharacteristic, complemented
51C2×#13050590C2×C412yescomplemented
52C22×Dic166C2×C411yescharacteristic, complemented
53C22×D332C2×C411yescharacteristic, complemented
54C22×C22⋊D83—21no—
55C2×#13050574—22no—
56C22×C83⋊C8—21no—
57C22×C83⋊C8—21no—
58#14581787—22no—
59#14581786—22no—
60#14581785—22no—
61#14581784C2×C412yescomplemented
62#14581782—22no—
63#14581780C2×C412yescomplemented
64#14581778—22no—
65#14581777—22no—
66#14581775—22no—
67#14581775—22no—
68#14581774—22no—
69#14581773—22no—
70#14581771—21no—
71#14581771—21no—
72#14581771C2×C412yescomplemented
73#14581771C2×C412yescomplemented
74#14581771C2312yes—
75#14581770—22no—
76#14581766—21no—
77#14581766—21no—
78#14581766C2×C412yescomplemented
79#14581766C2×C412yescomplemented
80#14581766C2312yes—
81#14581765—22no—
82#14581764—22no—
83#14581764—22no—
84#14581761—22no—
85#14581760—22no—
86C4×Dic166C2×C412yescomplemented
87C4×D332C2×C412yescomplemented
88C4×C22⋊D83—22no—
89C4×C22⋊D83—22no—
90C4×C22⋊D83—22no—
91(C22⋊D83)⋊C4—22no—
92(C22⋊D83)⋊C4—22no—
93#14581751C2×C412yescomplemented
94#14581749—22no—
95#14581748—22no—
96C2×C4⋊Dic83C2×C411yescharacteristic, complemented
97C2×C4⋊Dic83C2×C411yescharacteristic, complemented
98C2×Dic83⋊C4—21no—
99C2×C22⋊Dic83—21no—
100C2×(C2×D83)⋊C4—21no—
101C22⋊C4×D83—22no—
102C4⋊(C83⋊C8)—22no—
103C22⋊(C83⋊C8)—21no—
104C22⋊(C83⋊C8)—21no—
105C22⋊(C83⋊C8)—22no—
106C22⋊(C83⋊C8)C2312yes—
107C22⋊(C83⋊C8)C2312yes—
108#14581703—22no—
109C22×D4×C83D411yescharacteristic
110C23×C4×C83—21no—
111C23×C4×C83—21no—
112C23×C4×C83C2311yescharacteristic
113C23×C4×C83C2311yescharacteristic
114C4×D4×C83—44no—
115C4×D4×C83C2×C412yes—
116C4×D4×C83C2×C412yes—
117C4×D4×C83D412yes—
118C4×D4×C83D412yes—
119C2×C4⋊C4×C83—21no—
120C2×C4⋊C4×C83—21no—
121C2×C4⋊C4×C83—21no—
122C2×C4⋊C4×C83—21no—
123C2×C4⋊C4×C83D411yescharacteristic
124C2×C22⋊C4×C83—21no—
125C2×C22⋊C4×C83—21no—
126C2×C22⋊C4×C83D411yescharacteristic
127C2×C22⋊C4×C83D411yescharacteristic
128C2×C42×C83—21no—
129C2×C42×C83C2311yescharacteristic
130#95×C83—21no—
131#95×C83—21no—
132#95×C83—21no—
133#95×C83C2311yescharacteristic
134#95×C83C2311yescharacteristic
135#95×C83C2311yescharacteristic
136#95×C83C2311yescharacteristic
137C23×D83—21no—
138#13050590—82no—
139C2×Dic166—21no—
140C2×Dic166—81no—
141C2×Dic166C22×C412yes—
142C2×D332—21no—
143C2×D332—81no—
144C2×D332C22×C412yes—
145C2×C22⋊D83—22no—
146C2×C22⋊D83—22no—
147C2×C22⋊D83—22no—
148C2×C22⋊D83—22no—
149C2×C22⋊D83—42no—
150C2×C22⋊D83—42no—
151C22×Dic83—21no—
152C22×Dic83—21no—
153C22×Dic83—21no—
154C2×C4×D83—22no—
155C2×C4×D83—22no—
156#13050574—82no—
157C2×C83⋊C8—22no—
158C2×C83⋊C8—22no—
159C2×C83⋊C8—81no—
160C2×C83⋊C8—81no—
161C4⋊Dic83—21no—
162C4⋊Dic83—21no—
163C4⋊Dic83C22×C412yes—
164C4⋊Dic83C22×C412yes—
165Dic83⋊C4—22no—
166Dic83⋊C4—22no—
167Dic83⋊C4—22no—
168Dic83⋊C4—22no—
169Dic83⋊C4—22no—
170Dic83⋊C4—22no—
171C22⋊Dic83—22no—
172C22⋊Dic83—22no—
173C22⋊Dic83—22no—
174C22⋊Dic83—22no—
175(C2×D83)⋊C4—22no—
176(C2×D83)⋊C4—22no—
177(C2×D83)⋊C4—22no—
178(C2×D83)⋊C4—22no—
179(C2×D83)⋊C4—22no—
180(C2×D83)⋊C4—22no—
181C4×Dic83—22no—
182C4×Dic83—22no—
183C24×C83C2×D411yescharacteristic
184C24×C83C2×D411yescharacteristic
185C2×D4×C83—22no—
186C2×D4×C83—22no—
187C2×D4×C83C22⋊C412yes—
188C2×D4×C83C22⋊C412yes—
189C22×C4×C83—21no—
190C22×C4×C83—21no—
191C22×C4×C83—21no—
192C22×C4×C83—21no—
193C22×C4×C83—42no—
194C22×C4×C83—42no—
195C22×C4×C83—42no—
196C22×C4×C83—42no—
197C22×C4×C83—81no—
198C22×C4×C83—81no—
199C22×C4×C83—81no—
200C22×C4×C83—81no—
201C22×C4×C83C22×C411yescharacteristic
202C22×C4×C83C22×C412yes—
203C22×C4×C83C22×C411yescharacteristic
204C22×C4×C83C2×D411yescharacteristic
205C22×C4×C83C2×D411yescharacteristic
206C22×C4×C83C2×D411yescharacteristic
207C22×C4×C83C2×D411yescharacteristic
208C22×C4×C83C2×D411yescharacteristic
209C22×C4×C83C2×D411yescharacteristic
210C22×C4×C83C2×D412yes—
211C22×C4×C83C2411yescharacteristic
212C4⋊C4×C83—42no—
213C4⋊C4×C83—42no—
214C4⋊C4×C83—81no—
215C4⋊C4×C83—81no—
216C4⋊C4×C83C22⋊C412yes—
217C4⋊C4×C83C22⋊C412yes—
218C22⋊C4×C83—42no—
219C22⋊C4×C83—42no—
220C22⋊C4×C83C22⋊C412yes—
221C22⋊C4×C83C22⋊C412yes—
222C22⋊C4×C83C22⋊C412yes—
223C22⋊C4×C83C22⋊C412yes—
224C42×C83—42no—
225C42×C83C22×C412yes—
226C42×C83C2×D412yes—
227C23×C83—21no—
228C23×C83—21no—
229C23×C83—41no—
230C23×C83—41no—
231C23×C83—41no—
232C23×C83—41no—
233C23×C83C2×C22⋊C412yes—
234C23×C83C2×C22⋊C411yescharacteristic
235C23×C83C2×C22⋊C411yescharacteristic
236C23×C83AGL(1,ℤ/8)12yes—
237C23×C83#13712yes—
238C23×C83C22×D411yescharacteristic
239C22×D83—22no—
240C22×D83—42no—
241C22×D83—81no—
242C22×D83—81no—
243D4×C83—24no—
244D4×C83—24no—
245C2×C4×C83—21no—
246C2×C4×C83—21no—
247C2×C4×C83—22no—
248C2×C4×C83—41no—
249C2×C4×C83—41no—
250C2×C4×C83—41no—
251C2×C4×C83—41no—
252C2×C4×C83—41no—
253C2×C4×C83—41no—
254C2×C4×C83—42no—
255C2×C4×C83—41no—
256C2×C4×C83—41no—
257C2×C4×C83—42no—
258C2×C4×C83—41no—
259C2×C4×C83—41no—
260C2×C4×C83—41no—
261C2×C4×C83—41no—
262C2×C4×C83—41no—
263C2×C4×C83—41no—
264C2×C4×C83—41no—
265C2×C4×C83—41no—
266C2×C4×C83—41no—
267C2×C4×C83—41no—
268C2×C4×C83—41no—
269C2×C4×C83—84no—
270C2×C4×C83—84no—
271C2×C4×C83C2×C22⋊C412yes—
272C2×C4×C83C2×C22⋊C412yes—
273C2×C4×C83C2×C22⋊C412yes—
274C2×C4×C83C2×C22⋊C411yescharacteristic
275C2×C4×C83C2×C22⋊C411yescharacteristic
276C2×C4×C83C23×C411yescharacteristic
277C2×C4×C83C22×D411yescharacteristic
278C22⋊D83—42no—
279C22⋊D83—42no—
280C22⋊D83—44no—
281C22⋊D83—82no—
282C22⋊D83—82no—
283C2×Dic83—22no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—42no—
287C2×Dic83—81no—
288C2×Dic83—81no—
289D332—42no—
290D332—81no—
291C4×D83—82no—
292C4×D83—82no—
293Dic166—42no—
294Dic166—81no—
295C83⋊C8—42no—
296C83⋊C8—42no—
297C22×C83—21no—
298C22×C83—21no—
299C22×C83—21no—
300C22×C83—21no—
301C22×C83—21no—
302C22×C83—21no—
303C22×C83—22no—
304C22×C83—22no—
305C22×C83—22no—
306C22×C83—42no—
307C22×C83—42no—
308C22×C83—42no—
309C22×C83—42no—
310C22×C83#41712yes—
311C22×C83#41712yes—
312C22×C83C22×C22⋊C411yescharacteristic
313C22×C83C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C83C2×#13711yescharacteristic
315C2×D83—42no—
316C2×D83—42no—
317C2×D83—42no—
318C2×D83—162no—
319C4×C83—21no—
320C4×C83—21no—
321C4×C83—21no—
322C4×C83—22no—
323C4×C83—21no—
324C4×C83—22no—
325C4×C83—22no—
326C4×C83—42no—
327C4×C83—81no—
328C4×C83—81no—
329C4×C83—81no—
330Dic83—42no—
331Dic83—42no—
332Dic83—42no—
333#17622—831nomaximal, Sylow
334C2×C83—21no—
335C2×C83—22no—
336C2×C83—21no—
337C2×C83—22no—
338C2×C83—42no—
339C2×C83#288311yescharacteristic
340C2×C83C2×#41711yescharacteristic
341C2×C83#290111yescharacteristic
342D83—82no—
343#3505—831no—
344#2973—831no—
345#2349D8311yescharacteristic, complemented
346#1520—831no—
347#1519—831no—
348#1513—832no—
349#1512—832no—
350#1509—832no—
351#1504—832no—
352C2×#328—831no—
353C2×#327—831no—
354C83#1762211yescharacteristic, complemented, Sylow
355#553—832no—
356#553—1662no—
357#552—832no—
358#551—1662no—
359#548—832no—
360#546—832no—
361#539—1661no—
362#538—1661no—
363#534—1661no—
364#529—832no—
365#525—832no—
366C2×C22⋊Q8—831no—
367C2×#121—831no—
368#518—1661no—
369C2×C4×D4—21no—
370C2×C4×D4C2×D8311yescharacteristic
371#435—1662no—
372#435—1662no—
373#432—832no—
374#407—832no—
375C2×C22⋊C8—831no—
376C2×C22⋊C8—831no—
377#389—21no—
378#385—21no—
379#385—21no—
380#382C2×D8311yescharacteristic, complemented
381#380C2×D8311yescharacteristic
382#380C2×D8311yescharacteristic, complemented
383C4×C4⋊C4C2×D8311yescharacteristic, complemented
384C2×#95C2×D8311yescharacteristic
385C2×#95C2×D8311yescharacteristic, complemented
386#328—832no—
387#328—832no—
388#328—832no—
389#328—832no—
390#327—832no—
391#327—832no—
392#327—832no—
393#327—832no—
394C2×#41—832no—
395C22×Q8—831no—
396C22×D4—831no—
397C22×D4—1661no—
398C22×D4C22⋊D8311yescharacteristic
399C23×C4—21no—
400C23×C4—21no—
401C23×C4C22×D8311yescharacteristic
402C23×C4C22×D8311yescharacteristic
403C2×M16—1662no—
404C22×C8—1661no—
405C22×C8—1661no—
406#126—1662no—
407#126—1662no—
408#126—1662no—
409#125—832no—
410#125—1662no—
411#124—832no—
412#124—1662no—
413#123—1662no—
414#123—1662no—
415#123—1662no—
416#123—1662no—
417#123—1662no—
418C22⋊Q8—832no—
419C22⋊Q8—832no—
420C22⋊Q8—832no—
421C22⋊Q8—1661no—
422C22⋊Q8—1661no—
423C22⋊Q8—1662no—
424#121—832no—
425#121—832no—
426#121—832no—
427#121—1662no—
428#121—1662no—
429#121—1661no—
430#121—1661no—
431#121—1662no—
432#120—1662no—
433#120—1662no—
434C4×Q8—832no—
435C4×D4—44no—
436C4×D4—832no—
437C4×D4—1662no—
438C4×D4—1662no—
439C4×D4—1662no—
440C4×D4—1662no—
441C4×D4—1662no—
442C4×D4C4×D8312yes—
443C4×D4C4×D8312yes—
444C4×D4D33212yes—
445C4×D4D33212yes—
446#117—832no—
447#117—1662no—
448#117—1662no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—831no—
454C2×C4⋊C4—831no—
455C2×C4⋊C4—1661no—
456C2×C4⋊C4C22⋊D8311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1661no—
460C2×C22⋊C4—1661no—
461C2×C22⋊C4—1662no—
462C2×C22⋊C4C22⋊D8311yescharacteristic
463C2×C22⋊C4C22⋊D8311yescharacteristic
464C2×C42—21no—
465C2×C42C22×D8311yescharacteristic
466C4⋊C8—1662no—
467C22⋊C8—832no—
468C22⋊C8—832no—
469C22⋊C8—1661no—
470C22⋊C8—1661no—
471C22⋊C8—1662no—
472#97—1662no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95C22×D8311yescharacteristic
477#95C22×D8311yescharacteristic
478#95C22×D8311yescharacteristic
479#95C22×D8311yescharacteristic
480C24—1661no—
481C24C2×C22⋊D8311yescharacteristic
482C24C2×C22⋊D8311yescharacteristic
483#41—6642no—
484C2×Q8—832no—
485C2×Q8—6641no—
486C2×Q8—1661no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—3322no—
490C2×D4—3322no—
491C2×D4—832no—
492C2×D4—6641no—
493C2×D4—1662no—
494C2×D4—1662no—
495C2×D4—1662no—
496C2×D4—1662no—
497C2×D4—1661no—
498C2×D4(C2×D83)⋊C412yes—
499C2×D4(C2×D83)⋊C412yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—1661no—
513C22×C4—1661no—
514C22×C4—1661no—
515C22×C4—1662no—
516C22×C4—1662no—
517C22×C4C2×C4×D8311yescharacteristic
518C22×C4C2×C4×D8311yescharacteristic
519C22×C4C2×C4×D8312yes—
520C22×C4C2×C22⋊D8311yescharacteristic
521C22×C4C2×C22⋊D8311yescharacteristic
522C22×C4C2×C22⋊D8311yescharacteristic
523C22×C4C2×C22⋊D8311yescharacteristic
524C22×C4C2×D33211yescharacteristic
525C22×C4C2×D33211yescharacteristic
526C22×C4C2×D33212yes—
527C22×C4C23×D8311yescharacteristic
528M16—6642no—
529C2×C8—6641no—
530C2×C8—6641no—
531C2×C8—1662no—
532C2×C8—1662no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4—832no—
538C4⋊C4—832no—
539C4⋊C4—1662no—
540C4⋊C4—1661no—
541C4⋊C4—1661no—
542C4⋊C4—1662no—
543C4⋊C4—1662no—
544C4⋊C4—1662no—
545C4⋊C4—1662no—
546C4⋊C4—1662no—
547C4⋊C4(C2×D83)⋊C412yes—
548C4⋊C4(C2×D83)⋊C412yes—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—1662no—
552C22⋊C4—1662no—
553C22⋊C4—1662no—
554C22⋊C4—1662no—
555C22⋊C4—1662no—
556C22⋊C4—1662no—
557C22⋊C4—1662no—
558C22⋊C4—1662no—
559C22⋊C4—1662no—
560C22⋊C4—1662no—
561C22⋊C4(C2×D83)⋊C412yes—
562C22⋊C4(C2×D83)⋊C412yes—
563C22⋊C4(C2×D83)⋊C412yes—
564C22⋊C4(C2×D83)⋊C412yes—
565C42—42no—
566C42—1662no—
567C42—1662no—
568C42C2×C4×D8312yes—
569C42C2×D33212yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—3322no—
577C23—6641no—
578C23—6641no—
579C23—1662no—
580C23C2×(C2×D83)⋊C412yes—
581C23C2×(C2×D83)⋊C411yescharacteristic
582C23C2×(C2×D83)⋊C411yescharacteristic
583C23#1458181812yes—
584C23#1458182312yes—
585C23C22×C22⋊D8311yescharacteristic
586Q8—3322no—
587Q8—6641no—
588D4—24no—
589D4—24no—
590D4—3322no—
591D4—3324no—
592D4—3322no—
593D4—3322no—
594D4—6641no—
595D4—6642no—
596D4—6642no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—3322no—
624C2×C4—6642no—
625C2×C4—6642no—
626C2×C4—6641no—
627C2×C4—6641no—
628C2×C4—1662no—
629C2×C4—1662no—
630C2×C4—1662no—
631C2×C4C2×(C2×D83)⋊C412yes—
632C2×C4C2×(C2×D83)⋊C412yes—
633C2×C4C2×(C2×D83)⋊C412yes—
634C2×C4C2×(C2×D83)⋊C411yescharacteristic
635C2×C4C2×(C2×D83)⋊C411yescharacteristic
636C2×C4C22×C4×D8311yescharacteristic
637C2×C4C22×D33211yescharacteristic
638C8—3322no—
639C8—3322no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—13282no—
654C22—3322no—
655C22—3322no—
656C22—3322no—
657C22#1912770012yes—
658C22#1912770012yes—
659C22C22×(C2×D83)⋊C411yescharacteristic
660C22C2×#1458181811yescharacteristic
661C22C2×#1458182311yescharacteristic
662C4—22no—
663C4—22no—
664C4—21no—
665C4—21no—
666C4—22no—
667C4—21no—
668C4—21no—
669C4—42no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—3322no—
674C4—3322no—
675C4—3322no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—6642no—
682C2#2491592311yescharacteristic
683C2C2×#1912770011yescharacteristic
684C2#2491601111yescharacteristic
subgroupG/H
centerC22C22×(C2×D83)⋊C4
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#2349C2
socleC22×C83C22×C22⋊C4
prime radical#24921302C2
cosocleC22×C4×C83C24
hypercenter#2349D83
hypocenterC83#17622
LCSG ▷ C2×C4×C83 ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. #24916492C2semidirect
3. #24906034C2semidirect
4. #24906030C2semidirect
5. #24906004C2semidirect
6. #24905999C2semidirect
7. #24905986C2semidirect
8. #24905965C2semidirect
9. C2×#19127437C2semidirect
10. C2×#19127434C2semidirect
11. C83×#2349C2semidirect
13. #19128397C4semidirect
14. #19128391C4semidirect
16. #19128360C4semidirect
17. #19128347C4semidirect
28. #19127758C22semidirect
29. #19127665C22semidirect
32. #19127437C22semidirect
33. #19127437C22semidirect
34. #19127437C22semidirect
35. #19127437C22semidirect
45. #382×C83C22semidirect
47. #380×C83C22semidirect
48. C4×C4⋊C4×C83C22semidirect
50. C2×#95×C83C22semidirect
51. C2×#13050590C2×C4semidirect
52. C22×Dic166C2×C4semidirect
53. C22×D332C2×C4semidirect
61. #14581784C2×C4semidirect
63. #14581780C2×C4semidirect
72. #14581771C2×C4semidirect
73. #14581771C2×C4semidirect
78. #14581766C2×C4semidirect
79. #14581766C2×C4semidirect
86. C4×Dic166C2×C4semidirect
87. C4×D332C2×C4semidirect
93. #14581751C2×C4semidirect
96. C2×C4⋊Dic83C2×C4semidirect
97. C2×C4⋊Dic83C2×C4semidirect
345. #2349D83semidirect
354. C83#17622semidirect
380. #382C2×D83semidirect
382. #380C2×D83semidirect
383. C4×C4⋊C4C2×D83semidirect
385. C2×#95C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249213022
#249164922
#249060342
#249060302
#249060042
#249059992
#249059862
#249059652
C2×#191274372
C2×#191274342
C83×#23492
#1762283