Finite Group Databasebeta

← #35411074

Subgroups — #35411074

Order 21248.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127949C211yesmaximal, characteristic
2C2×C4×#13050577C211yesmaximal, characteristic, complemented
3C2×#19127657C211yesmaximal, characteristic, complemented
4#24910156C211yesmaximal, characteristic
5#24908347C211yesmaximal, characteristic, complemented
6#24908198C211yesmaximal, characteristic, complemented
7#24908145C211yesmaximal, characteristic, complemented
8#24908142C211yesmaximal, characteristic, complemented
9#24907889C211yesmaximal, characteristic
10#24907887C211yesmaximal, characteristic, complemented
11#24907494C211yesmaximal, characteristic, complemented
12C4×#14581725C211yesmaximal, characteristic, complemented
13#24907293C211yesmaximal, characteristic, complemented
14#24907291C211yesmaximal, characteristic, complemented
15C83×#2323C211yesmaximal, characteristic, complemented
16C22×#13050577C2211yescharacteristic
17C22×#13050574C2211yescharacteristic
18C23×C83⋊C8C2211yescharacteristic
19C2×#14581766C2211yescharacteristic
20C2×C4×D332C2211yescharacteristic
21#19127949C418yescomplemented
22C4×#13050577—24no—
23C2×#14581725C2211yescharacteristic
24C2×#14581725C2211yescharacteristic
25C2×#14581723C2211yescharacteristic
26C2×#14581716C2211yescharacteristic
27C2×#14581716C2211yescharacteristic
28C2×#14581716C2211yescharacteristic
29C2×#14581712C2211yescharacteristic
30C2×#14581712C2211yescharacteristic
31C2×#14581712C2211yescharacteristic
32#19127657—24no—
33C2×#14581703C2211yescharacteristic
34C2×#14581703C2211yescharacteristic
35C2×C4×C83⋊C8C2211yescharacteristic
36C2×C4×C83⋊C8C2211yescharacteristic
37#19127603C2211yescharacteristic
38#19127601—21no—
39#19127599C2211yescharacteristic
40#19127591—21no—
41#19127577—21no—
42#19127572—21no—
43#19127561C2211yescharacteristic
44C4×C4⋊Dic83C2211yescharacteristic
45#19127463C2211yescharacteristic
46#19127463C2211yescharacteristic
47#19127463C2211yescharacteristic
48#19127463C2211yescharacteristic
49#19127463C2211yescharacteristic
50#19127463C2211yescharacteristic
51C2×C22⋊Q8×C83C2211yescharacteristic
52C2×C4×Q8×C83C2211yescharacteristic
53C2×#117×C83C2211yescharacteristic
54#391×C83C2211yescharacteristic
55#389×C83—21no—
56#389×C83C2211yescharacteristic
57#388×C83—21no—
58#388×C83—21no—
59#387×C83—21no—
60#380×C83C2211yescharacteristic
61C4×C4⋊C4×C83C2211yescharacteristic
62C22×D332C2311yescharacteristic
63C22×C22⋊D83—21no—
64C22×C4×D83—21no—
65C2×#13050577—22no—
66C2×#13050577—22no—
67C2×#13050577C2×C414yes—
68C2×#13050574—22no—
69C2×#13050574—22no—
70C2×#13050574C2×C414yescomplemented
71C22×C83⋊C8—22no—
72C22×C83⋊C8—22no—
73C22×C83⋊C8—22no—
74C22×C83⋊C8C2311yescharacteristic
75C22×C83⋊C8C2311yescharacteristic
76C22×C83⋊C8C2311yescharacteristic
77C22×C83⋊C8C2311yescharacteristic
78#14581766—22no—
79#14581766C2×C414yes—
80C4×D332—22no—
81C4×D332—22no—
82C2×C4⋊Dic83C2311yescharacteristic
83C2×C4⋊Dic83C2311yescharacteristic
84C2×C4⋊Dic83C2311yescharacteristic
85C2×Dic83⋊C4—21no—
86C2×C22⋊Dic83—21no—
87C2×(C2×D83)⋊C4—21no—
88C2×(C2×D83)⋊C4—21no—
89C2×(C2×D83)⋊C4—21no—
90C2×(C2×D83)⋊C4—21no—
91C2×C4×Dic83—21no—
92#14581725—22no—
93#14581725C2×C414yescomplemented
94#14581723—22no—
95#14581716—22no—
96#14581716—22no—
97#14581716C2×C414yescomplemented
98#14581712—22no—
99#14581712—22no—
100#14581712C2×C414yes—
101#14581703—22no—
102#14581703—22no—
103C4×C83⋊C8—22no—
104C4×C83⋊C8D414yescomplemented
105C83⋊#95—21no—
106C83⋊#95—21no—
107C83⋊#95—21no—
108C22×Q8×C83C2311yescharacteristic
109C23×C4×C83C2311yescharacteristic
110C22⋊Q8×C83—22no—
111C22⋊Q8×C83C2×C414yescomplemented
112C4×Q8×C83—22no—
113C4×Q8×C83—22no—
114#117×C83—22no—
115#117×C83—22no—
116C2×C4⋊C4×C83—21no—
117C2×C4⋊C4×C83—21no—
118C2×C4⋊C4×C83—21no—
119C2×C4⋊C4×C83D411yescharacteristic
120C2×C4⋊C4×C83D411yescharacteristic
121C2×C4⋊C4×C83C2311yescharacteristic
122C2×C4⋊C4×C83C2311yescharacteristic
123C2×C4⋊C4×C83C2311yescharacteristic
124C2×C22⋊C4×C83—21no—
125C2×C22⋊C4×C83—21no—
126C2×C22⋊C4×C83D411yescharacteristic
127C2×C22⋊C4×C83D411yescharacteristic
128C2×C42×C83—21no—
129C2×C42×C83—21no—
130C2×C42×C83C2311yescharacteristic
131C2×C42×C83C2311yescharacteristic
132#95×C83—21no—
133#95×C83—21no—
134#95×C83—21no—
135#95×C83—21no—
136#95×C83—21no—
137C23×D83—21no—
138C2×D332—21no—
139C2×D332—21no—
140C2×D332—21no—
141C2×D332—21no—
142C2×D332—21no—
143C2×D332C22×C412yes—
144C2×C22⋊D83—24no—
145C2×C22⋊D83—81no—
146C2×C22⋊D83—81no—
147C22×Dic83—21no—
148C22×Dic83—21no—
149C22×Dic83—21no—
150C2×C4×D83—42no—
151C2×C4×D83—81no—
152C2×C4×D83—81no—
153#13050577—28no—
154#13050574—28no—
155C2×C83⋊C8—28no—
156C2×C83⋊C8—21no—
157C2×C83⋊C8—21no—
158C2×C83⋊C8—21no—
159C2×C83⋊C8—21no—
160C2×C83⋊C8—21no—
161C2×C83⋊C8—21no—
162C2×C83⋊C8C22×C412yes—
163C2×C83⋊C8C22×C412yes—
164C2×C83⋊C8C2×D412yes—
165C2×C83⋊C8C2×D412yes—
166C2×C83⋊C8#4112yes—
167C2×C83⋊C8#4112yes—
168C4⋊Dic83—21no—
169C4⋊Dic83—21no—
170C4⋊Dic83—21no—
171C4⋊Dic83—21no—
172C4⋊Dic83—21no—
173C4⋊Dic83C22×C412yes—
174Dic83⋊C4—81no—
175C22⋊Dic83—81no—
176(C2×D83)⋊C4—24no—
177(C2×D83)⋊C4—42no—
178(C2×D83)⋊C4—81no—
179(C2×D83)⋊C4—81no—
180C4×Dic83—81no—
181C24×C83C2×D411yescharacteristic
182C2×Q8×C83—21no—
183C2×Q8×C83—21no—
184C2×Q8×C83—21no—
185C2×Q8×C83—21no—
186C2×Q8×C83—21no—
187C2×Q8×C83C22×C412yes—
188C22×C4×C83—21no—
189C22×C4×C83—21no—
190C22×C4×C83—21no—
191C22×C4×C83—21no—
192C22×C4×C83—21no—
193C22×C4×C83—21no—
194C22×C4×C83—21no—
195C22×C4×C83—21no—
196C22×C4×C83C22×C412yes—
197C22×C4×C83C2×D411yescharacteristic
198C22×C4×C83C2×D411yescharacteristic
199C22×C4×C83C2×D411yescharacteristic
200C22×C4×C83C2×D411yescharacteristic
201C22×C4×C83C2×D411yescharacteristic
202C22×C4×C83#4112yes—
203C22×C4×C83C2411yescharacteristic
204C4⋊C4×C83—24no—
205C4⋊C4×C83—22no—
206C4⋊C4×C83—22no—
207C4⋊C4×C83—21no—
208C4⋊C4×C83—21no—
209C4⋊C4×C83—21no—
210C4⋊C4×C83—21no—
211C4⋊C4×C83—21no—
212C4⋊C4×C83—42no—
213C4⋊C4×C83—81no—
214C4⋊C4×C83C22×C412yes—
215C22⋊C4×C83—24no—
216C22⋊C4×C83—22no—
217C22⋊C4×C83—22no—
218C22⋊C4×C83—81no—
219C42×C83—21no—
220C42×C83—21no—
221C42×C83—42no—
222C42×C83—81no—
223C42×C83C2×D412yes—
224C42×C83#4112yes—
225C23×C83—21no—
226C23×C83—21no—
227C23×C83—21no—
228C23×C83—21no—
229C23×C83—21no—
230C23×C83—21no—
231C23×C83C4×D412yes—
232C23×C83C22×D411yescharacteristic
233C22×D83—22no—
234C22×D83—41no—
235C22×D83—41no—
236C22×D83—41no—
237C22×D83—41no—
238C22×D83—41no—
239C22×D83—41no—
240Q8×C83—22no—
241Q8×C83—22no—
242Q8×C83—41no—
243Q8×C83—41no—
244C2×C4×C83—21no—
245C2×C4×C83—21no—
246C2×C4×C83—21no—
247C2×C4×C83—21no—
248C2×C4×C83—21no—
249C2×C4×C83—21no—
250C2×C4×C83—22no—
251C2×C4×C83—22no—
252C2×C4×C83—22no—
253C2×C4×C83—22no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—21no—
257C2×C4×C83—21no—
258C2×C4×C83—21no—
259C2×C4×C83—21no—
260C2×C4×C83—21no—
261C2×C4×C83—21no—
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—41no—
270C2×C4×C83—41no—
271C2×C4×C83—41no—
272C2×C4×C83C4×D412yes—
273C2×C4×C83#12112yes—
274C2×C4×C83#12112yes—
275C2×C4×C83C23×C411yescharacteristic
276C2×C4×C83C22×D411yescharacteristic
277C2×C4×C83C2×#4111yescharacteristic
278C2×C4×C83C2×#4111yescharacteristic
279C2×C4×C83C2×#4111yescharacteristic
280C2×C4×C83C2×#4111yescharacteristic
281C22⋊D83—84no—
282C2×Dic83—22no—
283C2×Dic83—41no—
284C2×Dic83—41no—
285C2×Dic83—41no—
286C2×Dic83—41no—
287C2×Dic83—41no—
288C2×Dic83—41no—
289C2×Dic83—41no—
290C2×Dic83—41no—
291D332—22no—
292D332—22no—
293D332—41no—
294D332—41no—
295C4×D83—84no—
296C83⋊C8—22no—
297C83⋊C8—22no—
298C83⋊C8—22no—
299C83⋊C8C4×D414yes—
300C22×C83—22no—
301C22×C83—22no—
302C22×C83—22no—
303C22×C83—41no—
304C22×C83—41no—
305C22×C83—41no—
306C22×C83—41no—
307C22×C83C2×C4×D411yescharacteristic
308C22×C83C2×#12111yescharacteristic
309C22×C83#53211yescharacteristic
310C22×C83#57611yescharacteristic
311C22×C83#57711yescharacteristic
312C22×C83#57711yescharacteristic
313C22×C83#57811yescharacteristic
314C2×D83—42no—
315C2×D83—42no—
316C2×D83—42no—
317C2×D83—81no—
318C2×D83—81no—
319C2×D83—81no—
320C2×D83—81no—
321C4×C83—22no—
322C4×C83—22no—
323C4×C83—22no—
324C4×C83—42no—
325C4×C83—41no—
326C4×C83—41no—
327C4×C83—42no—
328C4×C83—81no—
329C4×C83—81no—
330C4×C83C2×C4×D411yescharacteristic
331C4×C83C4×#4111yescharacteristic
332C4×C83#52511yescharacteristic
333C4×C83#52911yescharacteristic
334Dic83—42no—
335Dic83—81no—
336Dic83—81no—
337#21535—831nomaximal, Sylow
338C2×C83—42no—
339C2×C83C4×#12111yescharacteristic
340C2×C83#294611yescharacteristic
341C2×C83#294711yescharacteristic
342C2×C83#305711yescharacteristic
343C2×C83#306111yescharacteristic
344C2×C83#317811yescharacteristic
345C2×C83#317911yescharacteristic
346D83—82no—
347C2×#468—831no—
348C2×C4×SD16—831no—
349C2×#405—831no—
350#2324—831no—
351#2323D8311yescharacteristic, complemented
352#1973—831no—
353#1943—831no—
354#1934—831no—
355#1933—831no—
356#1893—831no—
357#1892—831no—
358#1809—831no—
359C4×#107—831no—
360#1763—831no—
361#1762—831no—
362C83#2153511yescharacteristic, complemented, Sylow
363C22×SD16—831no—
364C22×M16—831no—
365C23×C8—831no—
366C2×C22⋊Q8C2×D8311yescharacteristic
367C2×#121—831no—
368C2×C4×Q8C2×D8311yescharacteristic
369C2×C4×D4—831no—
370C2×#117C2×D8311yescharacteristic
371#468—838no—
372C4×SD16—1664no—
373C2×#107—831no—
374C2×#107—831no—
375C2×#106—831no—
376C2×#103—831no—
377C2×#103—831no—
378C2×#103—831no—
379C2×#102—831no—
380C2×#102—831no—
381C2×#102—831no—
382#405—1664no—
383C2×#97—831no—
384C2×#97—831no—
385C2×C4×C8—831no—
386C2×C4×C8—831no—
387#391C2×D8311yescharacteristic
388#390—831no—
389#390—1661no—
390#389—21no—
391#389—831no—
392#389C2×D8311yescharacteristic
393#388—21no—
394#388—21no—
395#388—1661no—
396#387—21no—
397#386—1661no—
398#385—1661no—
399#380—831no—
400#380C2×D8311yescharacteristic
401C4×C4⋊C4—831no—
402C4×C4⋊C4C2×D8311yescharacteristic
403#340—831no—
404#340—831no—
405#340—831no—
406#340—831no—
407#340—831no—
408#340—831no—
409C22×Q8C22×D8311yescharacteristic
410C22×D4—831no—
411C22×D4—1661no—
412C23×C4—1661no—
413C23×C4C22×D8311yescharacteristic
414C2×SD16—834no—
415C2×SD16—1662no—
416C2×SD16—1662no—
417C2×M16—834no—
418C2×M16—1662no—
419C2×M16—1662no—
420C22×C8—831no—
421C22×C8—831no—
422C22×C8—831no—
423C22×C8—831no—
424C22×C8—1662no—
425C22×C8—1662no—
426C22×C8—1662no—
427C22⋊Q8—22no—
428C22⋊Q8C4×D8314yescomplemented
429#121—834no—
430#121—1662no—
431C4×Q8—22no—
432C4×Q8—22no—
433C4×D4—1662no—
434C4×D4—1662no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—831no—
441C2×C4⋊C4—831no—
442C2×C4⋊C4—831no—
443C2×C4⋊C4—1661no—
444C2×C4⋊C4C22⋊D8311yescharacteristic
445C2×C4⋊C4C22⋊D8311yescharacteristic
446C2×C4⋊C4C22×D8311yescharacteristic
447C2×C4⋊C4C22×D8311yescharacteristic
448C2×C4⋊C4C22×D8311yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—1661no—
452C2×C22⋊C4—1661no—
453C2×C22⋊C4—1661no—
454C2×C22⋊C4—1661no—
455C2×C22⋊C4—1661no—
456C2×C22⋊C4C22⋊D8311yescharacteristic
457C2×C22⋊C4C22⋊D8311yescharacteristic
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—1661no—
461C2×C42C22×D8311yescharacteristic
462C2×C42C22×D8311yescharacteristic
463#107—834no—
464#107—1662no—
465#106—1662no—
466#103—834no—
467#103—1662no—
468#103—1662no—
469#102—834no—
470#102—1662no—
471#102—1662no—
472#97—1662no—
473#97—1662no—
474C4×C8—834no—
475C4×C8—1662no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—1661no—
482#95—1661no—
483#95—1661no—
484C24—1661no—
485C24C2×C22⋊D8311yescharacteristic
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8C2×C4×D8312yes—
492C2×D4—832no—
493C2×D4—6641no—
494C2×D4—6641no—
495C2×D4—1664no—
496C2×D4—1661no—
497C2×D4—1661no—
498C2×D4—1661no—
499C2×D4—1661no—
500C2×D4—1661no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—3322no—
510C22×C4—6641no—
511C22×C4—6641no—
512C22×C4—1661no—
513C22×C4—1661no—
514C22×C4—1661no—
515C22×C4C2×C4×D8312yes—
516C22×C4C2×C22⋊D8311yescharacteristic
517C22×C4C2×C22⋊D8311yescharacteristic
518C22×C4C2×C22⋊D8311yescharacteristic
519C22×C4C2×C22⋊D8311yescharacteristic
520C22×C4C2×C22⋊D8311yescharacteristic
521C22×C4#1305059012yes—
522C22×C4C23×D8311yescharacteristic
523SD16—1668no—
524M16—1668no—
525C2×C8—832no—
526C2×C8—832no—
527C2×C8—832no—
528C2×C8—832no—
529C2×C8—832no—
530C2×C8—832no—
531C2×C8—1668no—
532C2×C8—1661no—
533C2×C8—1661no—
534C2×C8—1661no—
535C2×C8—1661no—
536C2×C8—1661no—
537C2×C8—1661no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—24no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4—832no—
549C4⋊C4—6641no—
550C4⋊C4—1661no—
551C4⋊C4—1661no—
552C4⋊C4—1661no—
553C4⋊C4—1661no—
554C4⋊C4—1661no—
555C4⋊C4C2×C4×D8312yes—
556C22⋊C4—24no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—81no—
560C22⋊C4—3322no—
561C22⋊C4—6641no—
562C22⋊C4—6641no—
563C22⋊C4—6641no—
564C22⋊C4—1664no—
565C42—21no—
566C42—21no—
567C42—42no—
568C42—81no—
569C42—6641no—
570C42D4×D8312yes—
571C42#1305058912yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—3321no—
579C23—3321no—
580C23—3321no—
581C23—3321no—
582C23—3321no—
583C23—3321no—
584C23—1662no—
585C23C4×C22⋊D8312yes—
586C23C22×C22⋊D8311yescharacteristic
587Q8—22no—
588Q8—22no—
589Q8—41no—
590Q8—41no—
591D4—3321no—
592D4—3321no—
593D4—6644no—
594D4—1662no—
595D4—1662no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—3321no—
625C2×C4—3321no—
626C2×C4—3321no—
627C2×C4—3321no—
628C2×C4—3321no—
629C2×C4—3321no—
630C2×C4—3321no—
631C2×C4—3321no—
632C2×C4—6644no—
633C2×C4—1662no—
634C2×C4C4×C22⋊D8312yes—
635C2×C4#1458176412yes—
636C2×C4#1458176412yes—
637C2×C4C22×C4×D8311yescharacteristic
638C2×C4C2×D4×D8311yescharacteristic
639C2×C4#41×D8311yescharacteristic
640C2×C4#41×D8311yescharacteristic
641C2×C4C2×#1305058911yescharacteristic
642C2×C4C2×#1305059011yescharacteristic
643C8—834no—
644C8—1662no—
645C8—1662no—
646C8—1662no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—3322no—
655C22—3322no—
656C22—3322no—
657C22—6641no—
658C22—6641no—
659C22—6641no—
660C22—6641no—
661C22C2×C4×C22⋊D8311yescharacteristic
662C22C2×#1458176411yescharacteristic
663C22#1912824711yescharacteristic
664C22#1912850411yescharacteristic
665C22#1912850911yescharacteristic
666C22#1912850911yescharacteristic
667C22#1912851611yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—42no—
672C4—41no—
673C4—41no—
674C4—42no—
675C4—81no—
676C4—81no—
677C4—3322no—
678C4—6641no—
679C4—6641no—
680C4C4×D4×D8311yescharacteristic
681C4C4×#1305058911yescharacteristic
682C4#1912821011yescharacteristic
683C4#1912823111yescharacteristic
684C2—42no—
685C2—6642no—
686C2C4×#1458176411yescharacteristic
687C2#2491629111yescharacteristic
688C2#2491630611yescharacteristic
689C2#2491710411yescharacteristic
690C2#2491713011yescharacteristic
691C2#2491813311yescharacteristic
692C2#2491814011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#2323C2
socleC23×C83C22×D4
prime radicalC2×#14581766C22
cosocleC22×C4×C83C24
hypercenter#2323D83
hypocenterC83#21535
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2323

Complements

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

NH ≅ G/Ntype
2. C2×C4×#13050577C2semidirect
3. C2×#19127657C2semidirect
5. #24908347C2semidirect
6. #24908198C2semidirect
7. #24908145C2semidirect
8. #24908142C2semidirect
10. #24907887C2semidirect
11. #24907494C2semidirect
12. C4×#14581725C2semidirect
13. #24907293C2semidirect
14. #24907291C2semidirect
15. C83×#2323C2semidirect
21. #19127949C4semidirect
70. C2×#13050574C2×C4semidirect
93. #14581725C2×C4semidirect
97. #14581716C2×C4semidirect
104. C4×C83⋊C8D4semidirect
111. C22⋊Q8×C83C2×C4semidirect
351. #2323D83semidirect
362. C83#21535semidirect
428. C22⋊Q8C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191279492
C2×C4×#130505772
C2×#191276572
#249101562
#249083472
#249081982
#249081452
#249081422
#249078892
#249078872
#249074942
C4×#145817252
#249072932
#249072912
C83×#23232
#2153583