Finite Group Databasebeta

← #1922×D83 #35406644

Subgroups — #1922×D83 #35406644

Order 21248.

854 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#427×D83C211yesmaximal, characteristic
2#424×D83C211yesmaximal, characteristic
3#405×D83C211yesmaximal, characteristic
4#24908065C211yesmaximal, characteristic, complemented
5#24908064C211yesmaximal, characteristic, complemented
6#24908063C211yesmaximal, characteristic, complemented
7#24908062C211yesmaximal, characteristic, complemented
8#24908061C211yesmaximal, characteristic, complemented
9#24908060C211yesmaximal, characteristic, complemented
10#24908059C211yesmaximal, characteristic, complemented
11#341×D83C211yesmaximal, characteristic
12#339×D83C211yesmaximal, characteristic
13#339×D83C211yesmaximal, characteristic
14#336×D83C211yesmaximal, characteristic
15C83×#1922C211yesmaximal, characteristic, complemented
16C2×M16×D83C2211yescharacteristic
17C2×M16×D83C2211yescharacteristic
18C22×C8×D83C2211yescharacteristic
19C22×C8×D83C2211yescharacteristic
20#117×D83C2211yescharacteristic
21#117×D83C2211yescharacteristic
22C2×C42×D83C2211yescharacteristic
23#19127739C2211yescharacteristic
24#19127738C411yescharacteristic, complemented
25#19127738C411yescharacteristic, complemented
26#19127737C2211yescharacteristic
27#19127737C2211yescharacteristic
28#19127736C411yescharacteristic, complemented
29#19127736C411yescharacteristic, complemented
30#107×D83C411yescharacteristic, complemented
31#107×D83C411yescharacteristic, complemented
32#106×D83C411yescharacteristic, complemented
33#106×D83C411yescharacteristic, complemented
34#19127729C2211yescharacteristic
35#19127728C2211yescharacteristic
36#19127727C2211yescharacteristic
37#19127726—21no—
38#19127726—21no—
39C4⋊C8×D83—21no—
40C4⋊C8×D83—21no—
41#19127659C2211yescharacteristic
42#19127658—21no—
43#19127657C2211yescharacteristic
44#19127656C2211yescharacteristic
45#19127655—21no—
46#97×D83—21no—
47C4×C8×D83—21no—
48#19127466C2211yescharacteristic
49#19127465C2211yescharacteristic
50#19127465C2211yescharacteristic
51#19127462C2211yescharacteristic
52#19127462C2211yescharacteristic
53#19127461C2211yescharacteristic
54#19127461C2211yescharacteristic
55#19127460C2211yescharacteristic
56#19127460C2211yescharacteristic
57#19127456C2211yescharacteristic
58#19127455C2211yescharacteristic
59#19127455C2211yescharacteristic
60#427×C83C2211yescharacteristic
61#424×C83C2211yescharacteristic
62#405×C83C2211yescharacteristic
63#341×C83C2211yescharacteristic
64#339×C83C2211yescharacteristic
65#339×C83C2211yescharacteristic
66#336×C83C2211yescharacteristic
67C22×C4×D83—21no—
68C22×C4×D83C2311yescharacteristic
69C2×#13050574C2311yescharacteristic
70C2×#13050574C2311yescharacteristic
71C2×#13050573—21no—
72C2×#13050573—21no—
73M16×D83—22no—
74M16×D83—22no—
75M16×D83—22no—
76M16×D83Q814yes—
77C22×C83⋊C8C2311yescharacteristic
78C22×C83⋊C8C2311yescharacteristic
79C2×C8×D83—21no—
80C2×C8×D83—22no—
81C2×C8×D83—22no—
82C2×C8×D83—22no—
83C2×C8×D83—22no—
84C2×C8×D83—21no—
85C2×C8×D83C2×C411yescharacteristic
86C2×C8×D83C2×C411yescharacteristic
87C2×C8×D83C2×C411yescharacteristic
88C2×C8×D83C2×C411yescharacteristic
89C2×C8×D83D411yescharacteristic
90C2×C8×D83D411yescharacteristic
91C2×C8×D83D411yescharacteristic
92C2×C8×D83D411yescharacteristic
93#14581751C2311yescharacteristic
94#14581751C2311yescharacteristic
95#14581750C2×C411yescharacteristic
96#14581750C2×C411yescharacteristic
97#14581750C2×C411yescharacteristic
98#14581750C2×C411yescharacteristic
99#14581749—21no—
100#14581749—21no—
101#14581748—21no—
102#14581748—21no—
103C4⋊C4×D83C2×C411yescharacteristic
104C4⋊C4×D83C2×C411yescharacteristic
105C4⋊C4×D83C2×C411yescharacteristic
106C4⋊C4×D83C2×C411yescharacteristic
107C22⋊C4×D83—21no—
108C22⋊C4×D83—21no—
109C2×C4×Dic83—21no—
110C2×C4×Dic83C2311yescharacteristic
111C42×D83—21no—
112C42×D83—21no—
113C42×D83—22no—
114C42×D83—22no—
115#14581726C2×C411yescharacteristic, complemented
116#14581726C2×C411yescharacteristic, complemented
117#14581725C2×C411yescharacteristic, complemented
118#14581725C2×C411yescharacteristic, complemented
119#14581725C2×C411yescharacteristic, complemented
120#14581725C2×C411yescharacteristic, complemented
121#14581724C2×C411yescharacteristic, complemented
122#14581724C2×C411yescharacteristic, complemented
123#14581723C2×C411yescharacteristic, complemented
124#14581723C2×C411yescharacteristic, complemented
125#14581723C2×C411yescharacteristic, complemented
126#14581723C2×C411yescharacteristic, complemented
127C4⋊(C83⋊C8)—21no—
128C4⋊(C83⋊C8)—21no—
129Dic83⋊C8—21no—
130Dic83⋊C8—21no—
131Dic83⋊C8—21no—
132Dic83⋊C8—21no—
133#14581703—21no—
134#14581702—21no—
135#14581702—21no—
136C4×C83⋊C8—21no—
137C8×Dic83—21no—
138C8×Dic83—21no—
139C2×M16×C83C2311yescharacteristic
140C2×M16×C83C2311yescharacteristic
141C22×C8×C83C2311yescharacteristic
142C22×C8×C83C2311yescharacteristic
143#117×C83C2311yescharacteristic
144#117×C83C2311yescharacteristic
145C2×C42×C83C2311yescharacteristic
146#107×C83C2×C411yescharacteristic, complemented
147#107×C83C2×C411yescharacteristic, complemented
148#106×C83C2×C411yescharacteristic, complemented
149#106×C83C2×C411yescharacteristic, complemented
150C4⋊C8×C83—21no—
151C4⋊C8×C83—21no—
152#97×C83—21no—
153C4×C8×C83—21no—
154C23×D83#4111yescharacteristic
155C22×Dic83—21no—
156C22×Dic83#4111yescharacteristic
157C2×C4×D83—24no—
158C2×C4×D83—21no—
159C2×C4×D83—21no—
160C2×C4×D83—21no—
161C2×C4×D83—21no—
162C2×C4×D83—42no—
163C2×C4×D83—42no—
164C2×C4×D83C22×C411yescharacteristic
165C2×C4×D83C22×C411yescharacteristic
166C2×C4×D83C2×D411yescharacteristic
167C2×C4×D83C2×D411yescharacteristic
168C2×C4×D83C2×Q812yes—
169C2×C4×D83#4112yes—
170C2×C4×D83#4112yes—
171C2×C4×D83#4112yes—
172#13050574—21no—
173#13050574—21no—
174#13050574—21no—
175#13050574C2×Q812yes—
176#13050573—24no—
177#13050573—42no—
178C2×C83⋊C8—21no—
179C2×C83⋊C8—21no—
180C2×C83⋊C8—21no—
181C2×C83⋊C8—21no—
182C2×C83⋊C8—21no—
183C2×C83⋊C8—21no—
184C2×C83⋊C8C22×C411yescharacteristic
185C2×C83⋊C8C22×C411yescharacteristic
186C2×C83⋊C8C2×D411yescharacteristic
187C2×C83⋊C8C2×D411yescharacteristic
188C8×D83—22no—
189C8×D83—22no—
190C8×D83—22no—
191C8×D83—22no—
192C8×D83—24no—
193C8×D83—22no—
194C8×D83—22no—
195C8×D83—22no—
196C8×D83—22no—
197C8×D83—42no—
198C4⋊Dic83C22×C411yescharacteristic
199C4⋊Dic83C22×C411yescharacteristic
200C4⋊Dic83C22×C411yescharacteristic
201C4⋊Dic83C22×C411yescharacteristic
202Dic83⋊C4—21no—
203Dic83⋊C4—21no—
204Dic83⋊C4—21no—
205Dic83⋊C4—21no—
206C22⋊Dic83—21no—
207C22⋊Dic83—21no—
208(C2×D83)⋊C4—21no—
209(C2×D83)⋊C4—21no—
210(C2×D83)⋊C4—21no—
211(C2×D83)⋊C4—21no—
212C4×Dic83—21no—
213C4×Dic83—21no—
214C4×Dic83—21no—
215C4×Dic83—21no—
216C4×Dic83—21no—
217C4×Dic83—21no—
218C4×Dic83—21no—
219C4×Dic83—21no—
220C4×Dic83—42no—
221C22×C4×C83—21no—
222C22×C4×C83C2411yescharacteristic
223M16×C83—21no—
224M16×C83—21no—
225M16×C83—21no—
226M16×C83C2×Q812yes—
227C2×C8×C83—21no—
228C2×C8×C83—21no—
229C2×C8×C83—21no—
230C2×C8×C83—21no—
231C2×C8×C83—21no—
232C2×C8×C83—21no—
233C2×C8×C83C22×C411yescharacteristic
234C2×C8×C83C22×C411yescharacteristic
235C2×C8×C83C2×D411yescharacteristic
236C2×C8×C83C2×D411yescharacteristic
237C4⋊C4×C83C22×C411yescharacteristic
238C4⋊C4×C83C22×C411yescharacteristic
239C4⋊C4×C83C22×C411yescharacteristic
240C4⋊C4×C83C22×C411yescharacteristic
241C22⋊C4×C83—21no—
242C22⋊C4×C83—21no—
243C42×C83—21no—
244C42×C83—21no—
245C42×C83—21no—
246C42×C83—21no—
247C23×C83C2×#4111yescharacteristic
248C22×D83—22no—
249C22×D83—22no—
250C22×D83C4×D411yescharacteristic
251C22×D83C4×D411yescharacteristic
252C22×D83#12512yes—
253C22×D83#12612yes—
254C2×C4×C83—22no—
255C2×C4×C83—21no—
256C2×C4×C83—21no—
257C2×C4×C83—21no—
258C2×C4×C83—21no—
259C2×C4×C83—41no—
260C2×C4×C83—41no—
261C2×C4×C83C23×C411yescharacteristic
262C2×C4×C83C22×D411yescharacteristic
263C2×C4×C83C22×Q811yescharacteristic
264C2×C4×C83C2×#4111yescharacteristic
265C2×C4×C83C2×#4111yescharacteristic
266C2×C4×C83C2×#4111yescharacteristic
267C2×Dic83—22no—
268C2×Dic83—21no—
269C2×Dic83—21no—
270C2×Dic83—21no—
271C2×Dic83—21no—
272C2×Dic83—41no—
273C2×Dic83—41no—
274C2×Dic83C4×D411yescharacteristic
275C2×Dic83C4×D411yescharacteristic
276C2×Dic83#12512yes—
277C2×Dic83#12612yes—
278C4×D83—48no—
279C4×D83—42no—
280C4×D83—42no—
281C4×D83—42no—
282C4×D83—42no—
283C4×D83#11712yes—
284C4×D83#11712yes—
285C4×D83C4×Q812yes—
286C4×D83C4×Q812yes—
287C4×D83C22⋊Q812yes—
288C4×D83C22⋊Q812yes—
289C4×D83#12312yes—
290C4×D83#12312yes—
291C8×C83—21no—
292C8×C83—21no—
293C8×C83—22no—
294C8×C83—21no—
295C8×C83—21no—
296C8×C83—41no—
297C83⋊C8—21no—
298C83⋊C8—21no—
299C83⋊C8—22no—
300C83⋊C8—21no—
301C83⋊C8—21no—
302C83⋊C8—41no—
303C22×C83—21no—
304C22×C83—21no—
305C22×C83C2×C4×D411yescharacteristic
306C22×C83C2×#12511yescharacteristic
307C22×C83C2×#12611yescharacteristic
308C2×D83—21no—
309C2×D83—21no—
310C2×D83—24no—
311C2×D83—24no—
312C2×D83#38712yes—
313C2×D83#38712yes—
314C2×D83#44312yes—
315C2×D83#44412yes—
316C4×C83—42no—
317C4×C83—41no—
318C4×C83—41no—
319C4×C83—41no—
320C4×C83—41no—
321C4×C83C2×#11711yescharacteristic
322C4×C83C2×C4×Q811yescharacteristic
323C4×C83C2×C22⋊Q811yescharacteristic
324C4×C83C2×#12311yescharacteristic
325Dic83—42no—
326Dic83—41no—
327Dic83—41no—
328Dic83—41no—
329Dic83—41no—
330Dic83#38712yes—
331Dic83#38712yes—
332C2×#1922—831nomaximal, Sylow
333C2×C83—21no—
334C2×C83—21no—
335C2×C83C2×#38711yescharacteristic
336C2×C83C2×#44311yescharacteristic
337C2×C83C2×#44411yescharacteristic
338D83—22no—
339D83#192214yesdirect product factor
340C2×#427—831no—
341C2×#424—831no—
342C2×#405—831no—
343#1922—831no—
344#1922—831no—
345#1922—831no—
346#1922—831no—
347#1922—831no—
348#1922—831no—
349#1922—831no—
350#1922D8311yescharacteristic, direct product factor
351C2×#341—831no—
352C2×#339—831no—
353C2×#339—831no—
354C2×#336—831no—
355C83C2×#192211yescharacteristic, complemented, Sylow
356C22×M16—831no—
357C22×M16—831no—
358C23×C8—831no—
359C23×C8—831no—
360C2×#117—831no—
361C2×#117—831no—
362C22×C42—831no—
363#427—831no—
364#427—831no—
365#427—831no—
366#427—831no—
367#427—831no—
368#427—831no—
369#427—831no—
370#427C2×D8311yescharacteristic
371C2×#107—831no—
372C2×#107—831no—
373C2×#106—831no—
374C2×#106—831no—
375#424—831no—
376#424—831no—
377#424—831no—
378#424—1661no—
379#424—1661no—
380#424C2×D8311yescharacteristic
381C2×C4⋊C8—1661no—
382C2×C4⋊C8—1661no—
383#405—831no—
384#405—831no—
385#405—831no—
386#405—1661no—
387#405—1661no—
388#405C2×D8311yescharacteristic
389C2×#97—1661no—
390C2×C4×C8—1661no—
391#341—831no—
392#341—831no—
393#341—831no—
394#341C2×D8311yescharacteristic
395#339—831no—
396#339—831no—
397#339—831no—
398#339—831no—
399#339—831no—
400#339—831no—
401#339C2×D8311yescharacteristic
402#339C2×D8311yescharacteristic
403#336—831no—
404#336—831no—
405#336—831no—
406#336C2×D8311yescharacteristic
407C23×C4—831no—
408C23×C4—1661no—
409C2×M16—831no—
410C2×M16—834no—
411C2×M16—831no—
412C2×M16—1661no—
413C2×M16—1661no—
414C2×M16—1662no—
415C2×M16—1662no—
416C2×M16—1662no—
417C2×M16C22×D8311yescharacteristic
418C2×M16C22×D8311yescharacteristic
419C22×C8—831no—
420C22×C8—831no—
421C22×C8—831no—
422C22×C8—831no—
423C22×C8—831no—
424C22×C8—831no—
425C22×C8—831no—
426C22×C8—831no—
427C22×C8—831no—
428C22×C8—831no—
429C22×C8—1661no—
430C22×C8—1662no—
431C22×C8—1662no—
432C22×C8—1662no—
433C22×C8—1662no—
434C22×C8—1661no—
435C22×C8C22×D8311yescharacteristic
436C22×C8C22×D8311yescharacteristic
437#117—831no—
438#117—831no—
439#117—831no—
440#117—831no—
441#117—831no—
442#117—831no—
443#117—1661no—
444#117—1661no—
445#117—1661no—
446#117—1661no—
447#117C22×D8311yescharacteristic
448#117C22×D8311yescharacteristic
449C2×C4⋊C4—831no—
450C2×C4⋊C4—831no—
451C2×C4⋊C4—831no—
452C2×C4⋊C4—831no—
453C2×C22⋊C4—1661no—
454C2×C22⋊C4—1661no—
455C2×C42—831no—
456C2×C42—1662no—
457C2×C42—1662no—
458C2×C42—1661no—
459C2×C42—1661no—
460C2×C42—1661no—
461C2×C42C22×D8311yescharacteristic
462#107—831no—
463#107—831no—
464#107—831no—
465#107—831no—
466#107—831no—
467#107—831no—
468#107C4×D8311yescharacteristic, complemented
469#107C4×D8311yescharacteristic, complemented
470#106—831no—
471#106—831no—
472#106—831no—
473#106—831no—
474#106—831no—
475#106—831no—
476#106C4×D8311yescharacteristic, complemented
477#106C4×D8311yescharacteristic, complemented
478C4⋊C8—21no—
479C4⋊C8—21no—
480C4⋊C8—1661no—
481C4⋊C8—1661no—
482C4⋊C8—1661no—
483C4⋊C8—1661no—
484C4⋊C8—1661no—
485C4⋊C8—1661no—
486#97—21no—
487#97—1661no—
488#97—1661no—
489#97—1661no—
490C4×C8—21no—
491C4×C8—1661no—
492C4×C8—1661no—
493C4×C8—1661no—
494C24—831no—
495C22×C4—21no—
496C22×C4—3322no—
497C22×C4—3322no—
498C22×C4—831no—
499C22×C4—831no—
500C22×C4—831no—
501C22×C4—831no—
502C22×C4—831no—
503C22×C4—832no—
504C22×C4—832no—
505C22×C4—832no—
506C22×C4—832no—
507C22×C4—1661no—
508C22×C4—1661no—
509C22×C4—1661no—
510C22×C4—1661no—
511C22×C4—1664no—
512C22×C4—1661no—
513C22×C4C23×D8311yescharacteristic
514M16—21no—
515M16—21no—
516M16—21no—
517M16—3322no—
518M16—832no—
519M16—1664no—
520M16—1661no—
521M16—1661no—
522M16—1661no—
523M16Q8×D8312yes—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—3322no—
531C2×C8—831no—
532C2×C8—831no—
533C2×C8—831no—
534C2×C8—831no—
535C2×C8—1662no—
536C2×C8—1662no—
537C2×C8—1662no—
538C2×C8—1662no—
539C2×C8—1662no—
540C2×C8—1662no—
541C2×C8—1662no—
542C2×C8—1662no—
543C2×C8—1664no—
544C2×C8—1661no—
545C2×C8—1661no—
546C2×C8—1661no—
547C2×C8—1661no—
548C2×C8—1661no—
549C2×C8—1661no—
550C2×C8C2×C4×D8311yescharacteristic
551C2×C8C2×C4×D8311yescharacteristic
552C2×C8D4×D8311yescharacteristic
553C2×C8D4×D8311yescharacteristic
554C4⋊C4—831no—
555C4⋊C4—831no—
556C4⋊C4—831no—
557C4⋊C4—831no—
558C4⋊C4—1661no—
559C4⋊C4—1661no—
560C4⋊C4—1661no—
561C4⋊C4—1661no—
562C4⋊C4C2×C4×D8311yescharacteristic
563C4⋊C4C2×C4×D8311yescharacteristic
564C4⋊C4C2×C4×D8311yescharacteristic
565C4⋊C4C2×C4×D8311yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—1661no—
569C22⋊C4—1661no—
570C22⋊C4—1661no—
571C22⋊C4—1661no—
572C22⋊C4—1661no—
573C22⋊C4—1661no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—3322no—
579C42—1661no—
580C42—1661no—
581C42—1661no—
582C42—1661no—
583C42—1661no—
584C42—1661no—
585C42—1661no—
586C42—1661no—
587C23—831no—
588C23—831no—
589C23—832no—
590C23—832no—
591C23—1662no—
592C23—1662no—
593C23#41×D8311yescharacteristic
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—3322no—
602C2×C4—3322no—
603C2×C4—3322no—
604C2×C4—3322no—
605C2×C4—3328no—
606C2×C4—3321no—
607C2×C4—3321no—
608C2×C4—831no—
609C2×C4—831no—
610C2×C4—832no—
611C2×C4—832no—
612C2×C4—832no—
613C2×C4—832no—
614C2×C4—832no—
615C2×C4—832no—
616C2×C4—832no—
617C2×C4—832no—
618C2×C4—832no—
619C2×C4—832no—
620C2×C4—1662no—
621C2×C4—1661no—
622C2×C4—1661no—
623C2×C4—1661no—
624C2×C4—1661no—
625C2×C4C22×C4×D8311yescharacteristic
626C2×C4C2×D4×D8311yescharacteristic
627C2×C4C2×Q8×D8311yescharacteristic
628C2×C4#41×D8311yescharacteristic
629C2×C4#41×D8311yescharacteristic
630C2×C4#41×D8311yescharacteristic
631C8—21no—
632C8—21no—
633C8—22no—
634C8—21no—
635C8—21no—
636C8—41no—
637C8—3321no—
638C8—1661no—
639C8—1661no—
640C8—1662no—
641C8—1661no—
642C8—1661no—
643C22—21no—
644C22—21no—
645C22—832no—
646C22—832no—
647C22—832no—
648C22—832no—
649C22—1664no—
650C22—1664no—
651C22—1661no—
652C22—1661no—
653C22C4×D4×D8311yescharacteristic
654C22#125×D8311yescharacteristic
655C22#126×D8311yescharacteristic
656C4—42no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—41no—
661C4—3322no—
662C4—3321no—
663C4—3321no—
664C4—3321no—
665C4—3321no—
666C4—832no—
667C4—832no—
668C4#117×D8311yescharacteristic
669C4C4×Q8×D8311yescharacteristic
670C4C22⋊Q8×D8311yescharacteristic
671C4#123×D8311yescharacteristic
672C2—21no—
673C2—21no—
674C2—834no—
675C2—1662no—
676C2#387×D8311yescharacteristic
677C2#443×D8311yescharacteristic
678C2#444×D8311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#1922C2
socleC22×C83C2×C4×D4
prime radicalC23×D83#41
cosocleC22×C4×C83C24
hypercenter#1922D83
hypocenterC83C2×#1922
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1922

Complements

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

NH ≅ G/Ntype
4. #24908065C2semidirect
5. #24908064C2semidirect
6. #24908063C2semidirect
7. #24908062C2semidirect
8. #24908061C2semidirect
9. #24908060C2semidirect
10. #24908059C2semidirect
15. C83×#1922C2semidirect
24. #19127738C4semidirect
25. #19127738C4semidirect
28. #19127736C4semidirect
29. #19127736C4semidirect
30. #107×D83C4semidirect
31. #107×D83C4semidirect
32. #106×D83C4semidirect
33. #106×D83C4semidirect
115. #14581726C2×C4semidirect
116. #14581726C2×C4semidirect
117. #14581725C2×C4semidirect
118. #14581725C2×C4semidirect
119. #14581725C2×C4semidirect
120. #14581725C2×C4semidirect
121. #14581724C2×C4semidirect
122. #14581724C2×C4semidirect
123. #14581723C2×C4semidirect
124. #14581723C2×C4semidirect
125. #14581723C2×C4semidirect
126. #14581723C2×C4semidirect
146. #107×C83C2×C4semidirect
147. #107×C83C2×C4semidirect
148. #106×C83C2×C4semidirect
149. #106×C83C2×C4semidirect
339. D83#1922direct (N × H)
350. #1922D83direct (N × H)
355. C83C2×#1922semidirect
468. #107C4×D83semidirect
469. #107C4×D83semidirect
476. #106C4×D83semidirect
477. #106C4×D83semidirect

Maximal subgroups

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

subgroupindex
#427×D832
#424×D832
#405×D832
#249080652
#249080642
#249080632
#249080622
#249080612
#249080602
#249080592
#341×D832
#339×D832
#336×D832
C83×#19222
C2×#192283