Finite Group Databasebeta

← #35564534

Subgroups — #35564534

Order 21248.

2250 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×Q8×D83C211yesmaximal, characteristic
2#24910427C212yesmaximal, complemented
3#24910425C214yesmaximal, complemented
4#24910424C212yesmaximal, complemented
5#24910422C211yesmaximal, characteristic, complemented
6#24910421C212yesmaximal, complemented
7#24910420C211yesmaximal, characteristic, complemented
8#24910418C211yesmaximal, characteristic, complemented
9#24910415C212yesmaximal, complemented
10#24910062C214yesmaximal
11#24910046C212yesmaximal
12#24909868C211yesmaximal, characteristic
13#24909867C211yesmaximal, characteristic
14#24909859C212yesmaximal
15#24909856C212yesmaximal
16#24909817C212yesmaximal
17C83×#2355C211yesmaximal, characteristic, complemented
18C22×Q8×D83C2211yescharacteristic
19C2×Q8×Dic83C2211yescharacteristic
20C2×C4×Dic166C2212yes—
21C2×C4×Dic166C2211yescharacteristic
22C2×#14581757C2211yescharacteristic
23C2×#14581757C2212yes—
24C4×Q8×D83C4116yescomplemented
25C2×#14581750C2212yes—
26C2×#14581749C2212yes—
27C2×C4⋊C4×D83C2212yes—
28C2×C4⋊C4×D83C2211yescharacteristic
29C2×C42×D83C2212yes—
30C2×C42×D83C2211yescharacteristic
31#19127608C2212yes—
32#19127607C2212yes—
33#19127606C2212yes—
34#19127605C2214yes—
35#19127605C2214yes—
36#19127588C2214yes—
37#19127587C2214yes—
38#19127586C2214yes—
39#19127585C2214yes—
40#19127584C2214yes—
41#19127583C2214yes—
42#19127582C2214yes—
43#19127571C2211yescharacteristic
44#19127570C2211yescharacteristic
45#19127570C2211yescharacteristic
46#19127568C2214yes—
47#19127568C2214yes—
48#19127567C2212yes—
49#19127566C2212yes—
50#19127566C2212yes—
51#19127566C2212yes—
52#19127565C2212yes—
53#19127563C2214yes—
54#19127563C2214yes—
55#19127560C2212yes—
56#19127558C2211yescharacteristic
57#19127558C2212yes—
58#19127558C2211yescharacteristic
59#19127558C2212yes—
60C4⋊C4×Dic83C2212yes—
61C4⋊C4×Dic83C2212yes—
62C4⋊C4×Dic83C2212yes—
63C4⋊C4×Dic83C2212yes—
64C4⋊C4×Dic83C2212yes—
65C4⋊C4×Dic83C2212yes—
66C4×Dic83⋊C4C2212yes—
67C4×Dic83⋊C4C2214yes—
68C4×C4⋊Dic83C2212yes—
69C4×C4⋊Dic83C2211yescharacteristic
70C4×C4⋊Dic83C2212yes—
71#19127552C2214yes—
72C4×(C2×D83)⋊C4C2214yes—
73#19127548C2214yes—
74#19127547C2214yes—
75#19127546C2214yes—
76C2×C4×Q8×C83C2211yescharacteristic
77#391×C83C2212yes—
78#387×C83C2214yes—
79#384×C83C2211yescharacteristic
80#382×C83C2212yes—
81C4×C4⋊C4×C83C2212yes—
82C4×C4⋊C4×C83C2211yescharacteristic
83C4×C4⋊C4×C83C2212yes—
84C22×Dic166C2312yes—
85C22×Dic166C2311yescharacteristic
86C2×Q8×D83—24no—
87C2×Q8×D83—24no—
88C2×Q8×D83C2×C418yes—
89C22×C4×D83C2311yescharacteristic
90C22×C4×D83C2312yes—
91C22×C4×D83C2311yescharacteristic
92C22×C4×D83C2312yes—
93C22×C4×D83C2311yescharacteristic
94Q8×Dic83C2×C418yes—
95C4×Dic166C2×C4116yes—
96C4×Dic166C2×C418yes—
97#14581757C2×C418yes—
98#14581757C2×C4116yes—
99#14581750—28no—
100#14581749—28no—
101C2×C4⋊Dic83C2311yescharacteristic
102C2×C4⋊Dic83C2312yes—
103C2×C4⋊Dic83C2311yescharacteristic
104C2×C4⋊Dic83C2312yes—
105C2×C4⋊Dic83C2312yes—
106C2×C4⋊Dic83C2311yescharacteristic
107C2×C4⋊Dic83C2312yes—
108C2×Dic83⋊C4C2312yes—
109C2×Dic83⋊C4C2312yes—
110C2×Dic83⋊C4C2312yes—
111C2×Dic83⋊C4C2312yes—
112C2×Dic83⋊C4C2312yes—
113C2×Dic83⋊C4C2312yes—
114C2×Dic83⋊C4C2312yes—
115C4⋊C4×D83C2×C4116yes—
116C4⋊C4×D83C2×C418yes—
117C2×(C2×D83)⋊C4C2314yes—
118C2×(C2×D83)⋊C4C2312yes—
119C2×(C2×D83)⋊C4C2312yes—
120C2×C4×Dic83C2314yes—
121C2×C4×Dic83C2312yes—
122C2×C4×Dic83C2314yes—
123C2×C4×Dic83C2314yes—
124C2×C4×Dic83C2314yes—
125C2×C4×Dic83C2311yescharacteristic
126C2×C4×Dic83C2311yescharacteristic
127C2×C4×Dic83C2312yes—
128C2×C4×Dic83C2311yescharacteristic
129C2×C4×Dic83C2312yes—
130C2×C4×Dic83C2312yes—
131C42×D83C2×C4116yes—
132C42×D83C2×C418yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2312yes—
136C83⋊#95C2314yes—
137C83⋊#95C2314yes—
138C83⋊#95C2312yes—
139C83⋊#95C2312yes—
140C83⋊#95C2314yes—
141C83⋊#95C2314yes—
142C83⋊#95C2314yes—
143C83⋊#95C2314yes—
144C83⋊#95C2314yes—
145C83⋊#95C2314yes—
146C83⋊#95C2314yes—
147C22×Q8×C83C2311yescharacteristic
148C4×Q8×C83C2×C418yes—
149C2×C4⋊C4×C83C2312yes—
150C2×C4⋊C4×C83C2311yescharacteristic
151C2×C4⋊C4×C83C2312yes—
152C2×C4⋊C4×C83C2311yescharacteristic
153C2×C4⋊C4×C83C2312yes—
154C2×C4⋊C4×C83C2311yescharacteristic
155C2×C4⋊C4×C83C2312yes—
156C2×C42×C83C2312yes—
157C2×C42×C83C2314yes—
158C2×C42×C83C2312yes—
159C2×C42×C83C2311yescharacteristic
160#95×C83C2314yes—
161#95×C83C2312yes—
162#95×C83C2314yes—
163#95×C83C2314yes—
164C23×D83C2411yescharacteristic
165C2×Dic166—22no—
166C2×Dic166—22no—
167C2×Dic166—24no—
168C2×Dic166—24no—
169C2×Dic166C22×C414yes—
170C2×Dic166C22×C418yes—
171Q8×D83—232no—
172C22×Dic83C2412yes—
173C22×Dic83C2412yes—
174C22×Dic83C2414yes—
175C22×Dic83C2412yes—
176C22×Dic83C2411yescharacteristic
177C22×Dic83C2412yes—
178C22×Dic83C2411yescharacteristic
179C22×Dic83C2411yescharacteristic
180C2×C4×D83—24no—
181C2×C4×D83—24no—
182C2×C4×D83—22no—
183C2×C4×D83—22no—
184C2×C4×D83—42no—
185C2×C4×D83—42no—
186C2×C4×D83—41no—
187C2×C4×D83—41no—
188C2×C4×D83C22×C418yes—
189C2×C4×D83C22×C414yes—
190C2×C4×D83C22×C414yes—
191C2×C4×D83C22×C418yes—
192C2×C4×D83C22×C414yes—
193C2×C4×D83#4114yes—
194C2×C4×D83#4114yes—
195C4⋊Dic83—24no—
196C4⋊Dic83—22no—
197C4⋊Dic83—24no—
198C4⋊Dic83—22no—
199C4⋊Dic83—42no—
200C4⋊Dic83C22×C418yes—
201C4⋊Dic83C22×C414yes—
202Dic83⋊C4—24no—
203Dic83⋊C4—24no—
204Dic83⋊C4—42no—
205Dic83⋊C4—42no—
206Dic83⋊C4C22×C418yes—
207Dic83⋊C4C22×C418yes—
208Dic83⋊C4C22×C418yes—
209(C2×D83)⋊C4—24no—
210(C2×D83)⋊C4—24no—
211(C2×D83)⋊C4—28no—
212C4×Dic83—24no—
213C4×Dic83—28no—
214C4×Dic83—44no—
215C4×Dic83—44no—
216C4×Dic83—44no—
217C4×Dic83C22×C418yes—
218C4×Dic83C22×C414yes—
219C4×Dic83C22×C418yes—
220C4×Dic83C22×C414yes—
221C4×Dic83C22×C418yes—
222C4×Dic83C22×C414yes—
223C2×Q8×C83—22no—
224C2×Q8×C83—22no—
225C2×Q8×C83C22×C414yes—
226C22×C4×C83C2412yes—
227C22×C4×C83C2412yes—
228C22×C4×C83C2414yes—
229C22×C4×C83C2412yes—
230C22×C4×C83C2412yes—
231C22×C4×C83C2411yescharacteristic
232C22×C4×C83C2411yescharacteristic
233C22×C4×C83C2411yescharacteristic
234C4⋊C4×C83—24no—
235C4⋊C4×C83—24no—
236C4⋊C4×C83—22no—
237C4⋊C4×C83—22no—
238C4⋊C4×C83—42no—
239C4⋊C4×C83C22×C418yes—
240C4⋊C4×C83C22×C414yes—
241C42×C83—24no—
242C42×C83—44no—
243C42×C83C22×C418yes—
244C42×C83C22×C414yes—
245C23×C83C2511yescharacteristic
246C22×D83—21no—
247C22×D83—21no—
248C22×D83—21no—
249C22×D83—21no—
250C22×D83C23×C412yes—
251C22×D83C2×#4112yes—
252C22×D83C2×#4112yes—
253Q8×C83—28no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—22no—
257C2×C4×C83—21no—
258C2×C4×C83—22no—
259C2×C4×C83—21no—
260C2×C4×C83—22no—
261C2×C4×C83—22no—
262C2×C4×C83—24no—
263C2×C4×C83—22no—
264C2×C4×C83—24no—
265C2×C4×C83—22no—
266C2×C4×C83—22no—
267C2×C4×C83—24no—
268C2×C4×C83—22no—
269C2×C4×C83C23×C414yes—
270C2×C4×C83C23×C412yes—
271C2×C4×C83C23×C414yes—
272C2×C4×C83C23×C412yes—
273C2×C4×C83C23×C412yes—
274C2×C4×C83C2×#4112yes—
275C2×C4×C83C2×#4112yes—
276C2×C4×C832−1+412yes—
277C2×C4×C832−1+412yes—
278C2×Dic83—22no—
279C2×Dic83—22no—
280C2×Dic83—21no—
281C2×Dic83—21no—
282C2×Dic83—22no—
283C2×Dic83—22no—
284C2×Dic83—21no—
285C2×Dic83—21no—
286C2×Dic83—22no—
287C2×Dic83—22no—
288C2×Dic83—24no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—24no—
292C2×Dic83—22no—
293C2×Dic83—22no—
294C2×Dic83—24no—
295C2×Dic83C23×C412yes—
296C2×Dic83C23×C414yes—
297C2×Dic83C23×C412yes—
298C2×Dic83C23×C414yes—
299C2×Dic83C23×C412yes—
300C2×Dic83C2×#4112yes—
301C2×Dic83C2×#4112yes—
302C4×D83—216no—
303C4×D83—28no—
304C4×D83—48no—
305C4×D83—44no—
306C4×D83#117116yes—
307Dic166—28no—
308Dic166—216no—
309C22×C83C24×C411yescharacteristic
310C22×C83C22×#4111yescharacteristic
311C22×C83C22×#4111yescharacteristic
312C22×C83C2×2−1+411yescharacteristic
313C22×C83C2×2−1+411yescharacteristic
314C22×C83#58511yescharacteristic
315C22×C83#58511yescharacteristic
316C2×D83—22no—
317C2×D83—22no—
318C2×D83—22no—
319C2×D83—22no—
320C2×D83—22no—
321C2×D83—22no—
322C2×D83C2×#11714yes—
323C4×C83—24no—
324C4×C83—24no—
325C4×C83—22no—
326C4×C83—42no—
327C4×C83—44no—
328C4×C83—42no—
329C4×C83C2×#11714yes—
330C4×C83#51914yes—
331Dic83—24no—
332Dic83—22no—
333Dic83—24no—
334Dic83—22no—
335Dic83—42no—
336Dic83—42no—
337Dic83—44no—
338Dic83C2×#11714yes—
339#34187—831nomaximal, Sylow
340C2×C83C22×#11711yescharacteristic
341C2×C83C2×#51911yescharacteristic
342C2×C83#342811yescharacteristic
343C2×C83#350711yescharacteristic
344C2×C83#350711yescharacteristic
345C2×C83#350711yescharacteristic
346C2×C83#350711yescharacteristic
347D83—24no—
348C22×C4×Q8—831no—
349#2356—832no—
350#2356—834no—
351#2356—832no—
352#2355—831no—
353#2355—832no—
354#2355—831no—
355#2355—832no—
356#2355—831no—
357#2355D8311yescharacteristic, complemented
358#2313—834no—
359#2310—832no—
360#2285—831no—
361#2285—831no—
362#2283—832no—
363#2283—832no—
364#2274—832no—
365C83#3418711yescharacteristic, complemented, Sylow
366C23×Q8—831no—
367C2×C4×Q8—831no—
368C2×C4×Q8—8316no—
369C2×C4×Q8—832no—
370C2×C4×Q8—831no—
371C2×C4×Q8—831no—
372C2×C4×Q8—832no—
373C2×C4×Q8C2×D8311yescharacteristic
374C2×#117—832no—
375C2×#117—832no—
376C22×C4⋊C4—832no—
377C22×C4⋊C4—831no—
378C22×C42—832no—
379C22×C42—831no—
380#391—832no—
381#391—832no—
382#391—832no—
383#391—834no—
384#391—834no—
385#391C2×D8312yes—
386#387—834no—
387#387—834no—
388#387—834no—
389#387—834no—
390#387—834no—
391#387—834no—
392#387—834no—
393#387C2×D8314yes—
394#384—831no—
395#384—831no—
396#384—831no—
397#384C2×D8311yescharacteristic
398#383—834no—
399#383—834no—
400#382—832no—
401#382—832no—
402#382—832no—
403#382—832no—
404#382—832no—
405#382C2×D8312yes—
406#381—834no—
407#381—834no—
408#380—832no—
409#380—832no—
410#380—831no—
411#380—831no—
412#380—832no—
413C4×C4⋊C4—832no—
414C4×C4⋊C4—832no—
415C4×C4⋊C4—832no—
416C4×C4⋊C4—832no—
417C4×C4⋊C4—832no—
418C4×C4⋊C4—832no—
419C4×C4⋊C4—832no—
420C4×C4⋊C4—831no—
421C4×C4⋊C4—832no—
422C4×C4⋊C4—834no—
423C4×C4⋊C4—832no—
424C4×C4⋊C4—834no—
425C4×C4⋊C4C2×D8312yes—
426C4×C4⋊C4C2×D8311yescharacteristic
427C4×C4⋊C4C2×D8312yes—
428C4×C22⋊C4—834no—
429C4×C22⋊C4—834no—
430#376—834no—
431#376—834no—
432C22×Q8—838no—
433C22×Q8—832no—
434C22×Q8—831no—
435C22×Q8—1664no—
436C22×Q8—1664no—
437C22×Q8C22×D8311yescharacteristic
438C23×C4—832no—
439C23×C4—831no—
440C23×C4—831no—
441C23×C4—832no—
442C23×C4—831no—
443C4×Q8—838no—
444C4×Q8—8316no—
445C4×Q8—838no—
446C4×Q8—8316no—
447C4×Q8—838no—
448C4×Q8C4×D8318yes—
449#117—1668no—
450#117—1668no—
451C2×C4⋊C4—832no—
452C2×C4⋊C4—832no—
453C2×C4⋊C4—832no—
454C2×C4⋊C4—832no—
455C2×C4⋊C4—831no—
456C2×C4⋊C4—832no—
457C2×C4⋊C4—832no—
458C2×C4⋊C4—832no—
459C2×C4⋊C4—838no—
460C2×C4⋊C4—8316no—
461C2×C4⋊C4—832no—
462C2×C4⋊C4—832no—
463C2×C4⋊C4—832no—
464C2×C4⋊C4—831no—
465C2×C4⋊C4—831no—
466C2×C4⋊C4—832no—
467C2×C4⋊C4C22×D8312yes—
468C2×C4⋊C4C22×D8312yes—
469C2×C4⋊C4C22×D8311yescharacteristic
470C2×C4⋊C4C22×D8311yescharacteristic
471C2×C4⋊C4C22×D8312yes—
472C2×C4⋊C4C22×D8311yescharacteristic
473C2×C4⋊C4C22×D8312yes—
474C2×C22⋊C4—834no—
475C2×C22⋊C4—832no—
476C2×C22⋊C4—832no—
477C2×C42—834no—
478C2×C42—834no—
479C2×C42—834no—
480C2×C42—832no—
481C2×C42—832no—
482C2×C42—831no—
483C2×C42—831no—
484C2×C42—832no—
485C2×C42—831no—
486C2×C42—838no—
487C2×C42—8316no—
488C2×C42—834no—
489C2×C42—832no—
490C2×C42C22×D8312yes—
491C2×C42C22×D8314yes—
492C2×C42C22×D8312yes—
493C2×C42C22×D8311yescharacteristic
494#95—834no—
495#95—832no—
496#95—832no—
497#95—834no—
498#95—834no—
499#95—834no—
500#95—834no—
501#95—834no—
502#95—834no—
503#95—834no—
504#95—832no—
505#95—834no—
506#95—834no—
507#95—834no—
508#95C22×D8314yes—
509#95C22×D8314yes—
510#95C22×D8312yes—
511#95C22×D8314yes—
512C24—831no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—838no—
516C2×Q8—834no—
517C2×Q8—1664no—
518C2×Q8—1664no—
519C2×Q8—16632no—
520C2×Q8—1662no—
521C2×Q8—1662no—
522C2×Q8C2×C4×D8314yes—
523C22×C4—3322no—
524C22×C4—3321no—
525C22×C4—3322no—
526C22×C4—3321no—
527C22×C4—838no—
528C22×C4—834no—
529C22×C4—831no—
530C22×C4—834no—
531C22×C4—834no—
532C22×C4—834no—
533C22×C4—831no—
534C22×C4—832no—
535C22×C4—832no—
536C22×C4—831no—
537C22×C4—834no—
538C22×C4—838no—
539C22×C4—832no—
540C22×C4—832no—
541C22×C4—834no—
542C22×C4—1664no—
543C22×C4—1664no—
544C22×C4—1662no—
545C22×C4—1662no—
546C22×C4C23×D8314yes—
547C22×C4C23×D8312yes—
548C22×C4C23×D8312yes—
549C22×C4C23×D8312yes—
550C22×C4C23×D8312yes—
551C22×C4C23×D8311yescharacteristic
552C22×C4C23×D8311yescharacteristic
553C22×C4C23×D8311yescharacteristic
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—42no—
559C4⋊C4—3322no—
560C4⋊C4—3322no—
561C4⋊C4—3322no—
562C4⋊C4—838no—
563C4⋊C4—838no—
564C4⋊C4—838no—
565C4⋊C4—838no—
566C4⋊C4—834no—
567C4⋊C4—1664no—
568C4⋊C4—1664no—
569C4⋊C4—1664no—
570C4⋊C4—1662no—
571C4⋊C4—1662no—
572C4⋊C4—1664no—
573C4⋊C4C2×C4×D8318yes—
574C4⋊C4C2×C4×D8314yes—
575C22⋊C4—1664no—
576C22⋊C4—1664no—
577C22⋊C4—1668no—
578C42—24no—
579C42—44no—
580C42—3324no—
581C42—3324no—
582C42—3324no—
583C42—834no—
584C42—834no—
585C42—838no—
586C42—834no—
587C42—838no—
588C42—838no—
589C42—1668no—
590C42—1664no—
591C42C2×C4×D8318yes—
592C42C2×C4×D8314yes—
593C23—832no—
594C23—832no—
595C23—832no—
596C23—1661no—
597C23—1661no—
598C23—1661no—
599C23—1661no—
600C23C24×D8311yescharacteristic
601Q8—28no—
602Q8—16616no—
603Q8—1668no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—3328no—
620C2×C4—3324no—
621C2×C4—832no—
622C2×C4—832no—
623C2×C4—832no—
624C2×C4—8316no—
625C2×C4—832no—
626C2×C4—834no—
627C2×C4—832no—
628C2×C4—834no—
629C2×C4—16616no—
630C2×C4—1662no—
631C2×C4—1662no—
632C2×C4—1664no—
633C2×C4—1662no—
634C2×C4—1662no—
635C2×C4—1664no—
636C2×C4—1662no—
637C2×C4—1662no—
638C2×C4—1664no—
639C2×C4—1662no—
640C2×C4—1662no—
641C2×C4—1661no—
642C2×C4—1661no—
643C2×C4—1662no—
644C2×C4—1661no—
645C2×C4—1662no—
646C2×C4—1661no—
647C2×C4—1668no—
648C2×C4C22×C4×D8314yes—
649C2×C4C22×C4×D8312yes—
650C2×C4C22×C4×D8314yes—
651C2×C4C22×C4×D8312yes—
652C2×C4C22×C4×D8312yes—
653C2×C4#41×D8312yes—
654C2×C4#41×D8312yes—
655C2×C4#1458183912yes—
656C2×C4#1458184012yes—
657C22—834no—
658C22—1662no—
659C22—1662no—
660C22—1662no—
661C22—1662no—
662C22—1662no—
663C22—1662no—
664C22C23×C4×D8311yescharacteristic
665C22C2×#41×D8311yescharacteristic
666C22C2×#41×D8311yescharacteristic
667C22C2×#1458183911yescharacteristic
668C22C2×#1458184011yescharacteristic
669C22#1912853611yescharacteristic
670C22#1912853811yescharacteristic
671C4—24no—
672C4—24no—
673C4—22no—
674C4—42no—
675C4—44no—
676C4—42no—
677C4—3322no—
678C4—3322no—
679C4—3324no—
680C4—834no—
681C4—1664no—
682C4—1662no—
683C4—1664no—
684C4—1662no—
685C4#117×D8314yes—
686C4#1912817714yes—
687C2—1664no—
688C2C2×#117×D8311yescharacteristic
689C2C2×#1912817711yescharacteristic
690C2#2492066311yescharacteristic
691C2#2492131811yescharacteristic
692C2#2492132011yescharacteristic
693C2#2492132611yescharacteristic
694C2#2492132911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2355C2
socle, cosocleC23×C83C25
prime radicalC23×D83C24
hypercenter#2355D83
hypocenterC83#34187
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2355

Complements

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

NH ≅ G/Ntype
2. #24910427C2semidirect
3. #24910425C2semidirect
4. #24910424C2semidirect
5. #24910422C2semidirect
6. #24910421C2semidirect
7. #24910420C2semidirect
8. #24910418C2semidirect
9. #24910415C2semidirect
17. C83×#2355C2semidirect
24. C4×Q8×D83C4semidirect
357. #2355D83semidirect
365. C83#34187semidirect

Maximal subgroups

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

subgroupindex
C2×C4×Q8×D832
#249104272
#249104252
#249104242
#249104222
#249104212
#249104202
#249104182
#249104152
#249100622
#249100462
#249098682
#249098672
#249098592
#249098562
#249098172
C83×#23552
#3418783