Finite Group Databasebeta

← #35567313

Subgroups — #35567313

Order 21248.

2098 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128255C211yesmaximal, characteristic
2#24910645C214yesmaximal, complemented
3#24910517C212yesmaximal, complemented
4#24910516C212yesmaximal, complemented
5#24910421C212yesmaximal, complemented
6#24910420C211yesmaximal, characteristic, complemented
7#24910418C211yesmaximal, characteristic, complemented
8#24910375C211yesmaximal, characteristic, complemented
9#24910375C212yesmaximal, complemented
10#24910143C212yesmaximal
11#24910140C214yesmaximal
12#24910139C212yesmaximal
13#24910071C212yesmaximal
14#24910068C212yesmaximal
15#24909868C211yesmaximal, characteristic
16#24909867C211yesmaximal, characteristic
17Q8×C4⋊C4×C83C211yesmaximal, characteristic, complemented
18#19128255C4116yescomplemented
19C2×#14581791C2211yescharacteristic
20C2×#14581790C2211yescharacteristic
21C2×#14581782C2212yes—
22C2×#14581772C2211yescharacteristic
23C2×#14581770C2212yes—
24C2×#14581768C2211yescharacteristic
25C2×C4×Dic166C2211yescharacteristic
26C2×C4×Dic166C2212yes—
27C2×#14581757C2214yes—
28C2×#14581757C2212yes—
29C2×#14581750C2212yes—
30C2×#14581749C2212yes—
31C2×#14581749C2212yes—
32C2×C42×D83C2211yescharacteristic
33#19127608C2212yes—
34#19127607C2212yes—
35#19127605C2214yes—
36#19127597C2214yes—
37#19127597C2212yes—
38#19127596C2214yes—
39#19127596C2214yes—
40#19127596C2214yes—
41#19127592C2214yes—
42#19127591C2214yes—
43#19127591C2214yes—
44#19127590C2214yes—
45#19127588C2214yes—
46#19127587C2214yes—
47#19127585C2214yes—
48#19127585C2214yes—
49#19127584C2214yes—
50#19127583C2214yes—
51#19127582C2214yes—
52#19127582C2214yes—
53#19127571C2211yescharacteristic
54#19127570C2211yescharacteristic
55#19127570C2212yes—
56#19127570C2211yescharacteristic
57#19127567C2212yes—
58#19127566C2212yes—
59#19127566C2212yes—
60#19127565C2212yes—
61#19127560C2212yes—
62#19127558C2211yescharacteristic
63#19127558C2211yescharacteristic
64#19127558C2212yes—
65#19127558C2212yes—
66C4⋊C4×Dic83C2212yes—
67C4⋊C4×Dic83C2212yes—
68C4⋊C4×Dic83C2212yes—
69C4⋊C4×Dic83C2212yes—
70C4⋊C4×Dic83C2212yes—
71C4×Dic83⋊C4C2212yes—
72C4×Dic83⋊C4C2214yes—
73C4×C4⋊Dic83C2211yescharacteristic
74C4×C4⋊Dic83C2212yes—
75C4×C4⋊Dic83C2212yes—
76C2×C4×Q8×C83C2212yes—
77C2×C4×Q8×C83C2211yescharacteristic
78#389×C83C2214yes—
79#389×C83C2212yes—
80#384×C83C2211yescharacteristic
81#384×C83C2212yes—
82C4×C4⋊C4×C83C2211yescharacteristic
83C4×C4⋊C4×C83C2212yes—
84C22×Dic166C2312yes—
85C22×Dic166C2311yescharacteristic
86C22×C4×D83C2311yescharacteristic
87C22×C4×D83C2311yescharacteristic
88C22×C4×D83C2311yescharacteristic
89#14581791C2×C418yes—
90#14581790C2×C418yes—
91#14581782C2×C4116yes—
92#14581772C2×C418yes—
93#14581770C2×C4116yes—
94#14581768C2×C418yes—
95C4×Dic166C2×C418yes—
96C4×Dic166C2×C4116yes—
97#14581757—44no—
98#14581757—48no—
99#14581750—44no—
100#14581749—44no—
101#14581749C2×C4116yes—
102C2×C4⋊Dic83C2311yescharacteristic
103C2×C4⋊Dic83C2312yes—
104C2×C4⋊Dic83C2311yescharacteristic
105C2×C4⋊Dic83C2312yes—
106C2×C4⋊Dic83C2312yes—
107C2×C4⋊Dic83C2311yescharacteristic
108C2×C4⋊Dic83C2312yes—
109C2×Dic83⋊C4C2312yes—
110C2×Dic83⋊C4C2312yes—
111C2×Dic83⋊C4C2312yes—
112C2×Dic83⋊C4C2312yes—
113C2×Dic83⋊C4C2314yes—
114C2×Dic83⋊C4C2314yes—
115C2×Dic83⋊C4C2312yes—
116C2×Dic83⋊C4C2312yes—
117C2×Dic83⋊C4C2312yes—
118C2×Dic83⋊C4C2312yes—
119C2×Dic83⋊C4C2312yes—
120C2×(C2×D83)⋊C4C2314yes—
121C2×(C2×D83)⋊C4C2312yes—
122C2×(C2×D83)⋊C4C2312yes—
123C2×(C2×D83)⋊C4C2312yes—
124C2×(C2×D83)⋊C4C2312yes—
125C2×C4×Dic83C2312yes—
126C2×C4×Dic83C2314yes—
127C2×C4×Dic83C2314yes—
128C2×C4×Dic83C2314yes—
129C2×C4×Dic83C2314yes—
130C2×C4×Dic83C2311yescharacteristic
131C2×C4×Dic83C2312yes—
132C2×C4×Dic83C2311yescharacteristic
133C2×C4×Dic83C2311yescharacteristic
134C42×D83C2×C418yes—
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×C83—44no—
149C4×Q8×C83C2×C418yes—
150C2×C4⋊C4×C83C2312yes—
151C2×C4⋊C4×C83C2311yescharacteristic
152C2×C4⋊C4×C83C2312yes—
153C2×C4⋊C4×C83C2311yescharacteristic
154C2×C4⋊C4×C83C2312yes—
155C2×C4⋊C4×C83C2314yes—
156C2×C4⋊C4×C83C2314yes—
157C2×C4⋊C4×C83C2311yescharacteristic
158C2×C4⋊C4×C83C2312yes—
159C2×C42×C83C2312yes—
160C2×C42×C83C2314yes—
161C2×C42×C83C2312yes—
162C2×C42×C83C2311yescharacteristic
163#95×C83C2312yes—
164#95×C83C2314yes—
165C23×D83C2411yescharacteristic
166C2×Dic166—22no—
167C2×Dic166—22no—
168C2×Dic166—24no—
169C2×Dic166—24no—
170C2×Dic166C22×C418yes—
171C2×Dic166C22×C414yes—
172C22×Dic83C2412yes—
173C22×Dic83C2414yes—
174C22×Dic83C2412yes—
175C22×Dic83C2411yescharacteristic
176C22×Dic83C2411yescharacteristic
177C22×Dic83C2412yes—
178C22×Dic83C2412yes—
179C22×Dic83C2411yescharacteristic
180C2×C4×D83—22no—
181C2×C4×D83—22no—
182C2×C4×D83—22no—
183C2×C4×D83—22no—
184C2×C4×D83—22no—
185C2×C4×D83—22no—
186C2×C4×D83C22×C414yes—
187C2×C4×D83C22×C414yes—
188C2×C4×D83C22×C414yes—
189C4⋊Dic83—22no—
190C4⋊Dic83—24no—
191C4⋊Dic83—22no—
192C4⋊Dic83—24no—
193C4⋊Dic83—42no—
194C4⋊Dic83C22×C414yes—
195C4⋊Dic83C22×C418yes—
196Dic83⋊C4—24no—
197Dic83⋊C4—24no—
198Dic83⋊C4—42no—
199Dic83⋊C4—42no—
200Dic83⋊C4—44no—
201Dic83⋊C4—44no—
202Dic83⋊C4C22×C418yes—
203Dic83⋊C4C22×C418yes—
204Dic83⋊C4C22×C418yes—
205Dic83⋊C4C22×C418yes—
206Dic83⋊C4C22×C418yes—
207(C2×D83)⋊C4—42no—
208(C2×D83)⋊C4—42no—
209(C2×D83)⋊C4—44no—
210(C2×D83)⋊C4C22×C418yes—
211(C2×D83)⋊C4C22×C418yes—
212C4×Dic83—24no—
213C4×Dic83—28no—
214C4×Dic83—44no—
215C4×Dic83—44no—
216C4×Dic83—44no—
217C4×Dic83C22×C414yes—
218C4×Dic83C22×C414yes—
219C4×Dic83C22×C414yes—
220C4×Dic83C22×C418yes—
221C2×Q8×C83—22no—
222C2×Q8×C83—22no—
223C2×Q8×C83C22×C414yes—
224C22×C4×C83C2412yes—
225C22×C4×C83C2412yes—
226C22×C4×C83C2414yes—
227C22×C4×C83C2411yescharacteristic
228C22×C4×C83C2412yes—
229C22×C4×C83C2412yes—
230C22×C4×C83C2411yescharacteristic
231C22×C4×C83C2411yescharacteristic
232C4⋊C4×C83—24no—
233C4⋊C4×C83—24no—
234C4⋊C4×C83—22no—
235C4⋊C4×C83—22no—
236C4⋊C4×C83—44no—
237C4⋊C4×C83—42no—
238C4⋊C4×C83—44no—
239C4⋊C4×C83C22×C418yes—
240C4⋊C4×C83C22×C414yes—
241C42×C83—24no—
242C42×C83—44no—
243C42×C83C22×C414yes—
244C42×C83C22×C418yes—
245C23×C83C2511yescharacteristic
246C22×D83—21no—
247C22×D83—21no—
248C22×D83—21no—
249C22×D83—21no—
250C22×D83—21no—
251C22×D83—21no—
252C22×D83C23×C412yes—
253Q8×C83—28no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—21no—
257C2×C4×C83—22no—
258C2×C4×C83—21no—
259C2×C4×C83—22no—
260C2×C4×C83—22no—
261C2×C4×C83—22no—
262C2×C4×C83—24no—
263C2×C4×C83—24no—
264C2×C4×C83—22no—
265C2×C4×C83—22no—
266C2×C4×C83—24no—
267C2×C4×C83—22no—
268C2×C4×C83—22no—
269C2×C4×C83C23×C412yes—
270C2×C4×C83C23×C414yes—
271C2×C4×C83C23×C414yes—
272C2×C4×C83C23×C412yes—
273C2×C4×C83C23×C412yes—
274C2×C4×C83H(5,𝔽2)12yes—
275C2×C4×C832−1+412yes—
276C2×C4×C832−1+412yes—
277C2×C4×C832−1+412yes—
278C2×Dic83—22no—
279C2×Dic83—22no—
280C2×Dic83—21no—
281C2×Dic83—21no—
282C2×Dic83—21no—
283C2×Dic83—21no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—22no—
287C2×Dic83—24no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—22no—
292C2×Dic83—22no—
293C2×Dic83—24no—
294C2×Dic83—24no—
295C2×Dic83C23×C412yes—
296C2×Dic83C23×C412yes—
297C2×Dic83C23×C414yes—
298C2×Dic83C23×C414yes—
299C2×Dic83C23×C412yes—
300C2×Dic83H(5,𝔽2)12yes—
301C2×Dic832−1+412yes—
302C4×D83—28no—
303C4×D83—28no—
304C4×D83—28no—
305Dic166—28no—
306Dic166—216no—
307C22×C83C24×C411yescharacteristic
308C22×C83C2×H(5,𝔽2)11yescharacteristic
309C22×C83C2×H(5,𝔽2)11yescharacteristic
310C22×C83C2×2−1+411yescharacteristic
311C22×C83C2×2−1+411yescharacteristic
312C22×C83C2×2−1+411yescharacteristic
313C22×C83C2×2−1+411yescharacteristic
314C2×D83—22no—
315C2×D83—22no—
316C2×D83—22no—
317C2×D83—41no—
318C2×D83—41no—
319C2×D83—41no—
320C2×D83—41no—
321C4×C83—24no—
322C4×C83—22no—
323C4×C83—24no—
324C4×C83—42no—
325C4×C83—44no—
326C4×C83—42no—
327C4×C83#51914yes—
328C4×C83#52014yes—
329Dic83—22no—
330Dic83—24no—
331Dic83—24no—
332Dic83—22no—
333Dic83—42no—
334Dic83—44no—
335Dic83—42no—
336Dic83#52014yes—
337#34374—831nomaximal, Sylow
338C2×C83C2×#51911yescharacteristic
339C2×C83C2×#52011yescharacteristic
340C2×C83C2×#52011yescharacteristic
341C2×C83#354811yescharacteristic
342C2×C83#355011yescharacteristic
343C2×C83#355011yescharacteristic
344C2×C83#355611yescharacteristic
345D83—42no—
346C2×#533—831no—
347#2382—834no—
348#2365—832no—
349#2365—832no—
350#2355—831no—
351#2355—832no—
352#2355—831no—
353Q8×C4⋊C4—831no—
354Q8×C4⋊C4—832no—
355Q8×C4⋊C4D8311yescharacteristic, complemented
356#2323—834no—
357#2323—832no—
358#2323—832no—
359#2314—832no—
360#2314—832no—
361#2285—831no—
362#2285—831no—
363C83#3437411yescharacteristic, complemented, Sylow
364#533—8316no—
365C2×C4⋊Q8—831no—
366C2×C4⋊Q8—831no—
367C2×#125—832no—
368C2×C22⋊Q8—831no—
369C2×C22⋊Q8—832no—
370C2×C22⋊Q8—831no—
371C2×C4×Q8—832no—
372C2×C4×Q8—834no—
373C2×C4×Q8—831no—
374C2×C4×Q8—832no—
375C2×C4×Q8C2×D8312yes—
376C2×C4×Q8C2×D8311yescharacteristic
377C2×#117—832no—
378C2×#117—832no—
379C2×#117—832no—
380C22×C42—831no—
381#391—832no—
382#391—832no—
383#391—834no—
384#389—834no—
385#389—834no—
386#389—834no—
387#389—832no—
388#389—834no—
389#389C2×D8312yes—
390#389C2×D8314yes—
391#388—834no—
392#388—834no—
393#388—834no—
394#388—834no—
395#387—834no—
396#387—834no—
397#387—834no—
398#387—834no—
399#387—834no—
400#387—834no—
401#387—834no—
402#387—834no—
403#384—832no—
404#384—831no—
405#384—831no—
406#384—831no—
407#384C2×D8312yes—
408#384C2×D8311yescharacteristic
409#382—832no—
410#382—832no—
411#382—832no—
412#382—832no—
413#380—831no—
414#380—832no—
415#380—831no—
416#380—832no—
417#380—832no—
418C4×C4⋊C4—832no—
419C4×C4⋊C4—832no—
420C4×C4⋊C4—832no—
421C4×C4⋊C4—832no—
422C4×C4⋊C4—832no—
423C4×C4⋊C4—832no—
424C4×C4⋊C4—832no—
425C4×C4⋊C4—831no—
426C4×C4⋊C4—834no—
427C4×C4⋊C4—832no—
428C4×C4⋊C4C2×D8312yes—
429C4×C4⋊C4C2×D8311yescharacteristic
430C22×Q8—832no—
431C22×Q8—831no—
432C22×Q8C22×D8311yescharacteristic
433C23×C4—831no—
434C23×C4—831no—
435C23×C4—831no—
436C4⋊Q8—838no—
437C4⋊Q8—838no—
438#125—8316no—
439C22⋊Q8—838no—
440C22⋊Q8—8316no—
441C22⋊Q8—838no—
442C4×Q8—44no—
443C4×Q8—3324no—
444C4×Q8—3328no—
445C4×Q8—8316no—
446C4×Q8—838no—
447C4×Q8C4×D8318yes—
448#117—3324no—
449#117—3324no—
450#117—8316no—
451C2×C4⋊C4—832no—
452C2×C4⋊C4—832no—
453C2×C4⋊C4—832no—
454C2×C4⋊C4—834no—
455C2×C4⋊C4—834no—
456C2×C4⋊C4—832no—
457C2×C4⋊C4—832no—
458C2×C4⋊C4—832no—
459C2×C4⋊C4—832no—
460C2×C4⋊C4—832no—
461C2×C4⋊C4—832no—
462C2×C4⋊C4—831no—
463C2×C4⋊C4—832no—
464C2×C4⋊C4—831no—
465C2×C4⋊C4—832no—
466C2×C4⋊C4—831no—
467C2×C4⋊C4—832no—
468C2×C4⋊C4—832no—
469C2×C4⋊C4C22×D8312yes—
470C2×C4⋊C4C22×D8311yescharacteristic
471C2×C4⋊C4C22×D8312yes—
472C2×C4⋊C4C22×D8311yescharacteristic
473C2×C4⋊C4C22×D8312yes—
474C2×C4⋊C4C22×D8314yes—
475C2×C4⋊C4C22×D8314yes—
476C2×C4⋊C4C22×D8312yes—
477C2×C4⋊C4C22×D8311yescharacteristic
478C2×C22⋊C4—834no—
479C2×C22⋊C4—832no—
480C2×C22⋊C4—832no—
481C2×C22⋊C4—832no—
482C2×C22⋊C4—832no—
483C2×C42—834no—
484C2×C42—834no—
485C2×C42—834no—
486C2×C42—832no—
487C2×C42—831no—
488C2×C42—831no—
489C2×C42—831no—
490C2×C42—838no—
491C2×C42—834no—
492C2×C42—832no—
493C2×C42C22×D8312yes—
494C2×C42C22×D8314yes—
495C2×C42C22×D8312yes—
496C2×C42C22×D8311yescharacteristic
497#95—834no—
498#95—832no—
499#95—832no—
500#95—834no—
501#95—832no—
502#95—834no—
503#95—834no—
504#95—834no—
505#95—834no—
506#95—834no—
507#95—834no—
508#95—834no—
509#95C22×D8312yes—
510#95C22×D8314yes—
511C24—831no—
512C2×Q8—22no—
513C2×Q8—22no—
514C2×Q8—838no—
515C2×Q8—834no—
516C2×Q8—1664no—
517C2×Q8—1664no—
518C2×Q8—1662no—
519C2×Q8—1662no—
520C2×Q8C2×C4×D8314yes—
521C22×C4—831no—
522C22×C4—831no—
523C22×C4—832no—
524C22×C4—832no—
525C22×C4—831no—
526C22×C4—834no—
527C22×C4—834no—
528C22×C4—834no—
529C22×C4—834no—
530C22×C4—832no—
531C22×C4—832no—
532C22×C4—1662no—
533C22×C4—1662no—
534C22×C4—1662no—
535C22×C4—1662no—
536C22×C4—1662no—
537C22×C4—1662no—
538C22×C4C23×D8312yes—
539C22×C4C23×D8312yes—
540C22×C4C23×D8314yes—
541C22×C4C23×D8312yes—
542C22×C4C23×D8312yes—
543C22×C4C23×D8311yescharacteristic
544C22×C4C23×D8311yescharacteristic
545C22×C4C23×D8311yescharacteristic
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—3322no—
554C4⋊C4—3322no—
555C4⋊C4—3322no—
556C4⋊C4—3324no—
557C4⋊C4—3324no—
558C4⋊C4—838no—
559C4⋊C4—838no—
560C4⋊C4—838no—
561C4⋊C4—838no—
562C4⋊C4—838no—
563C4⋊C4—838no—
564C4⋊C4—834no—
565C4⋊C4—1664no—
566C4⋊C4—1664no—
567C4⋊C4—1662no—
568C4⋊C4—1664no—
569C4⋊C4—1662no—
570C4⋊C4—1664no—
571C4⋊C4C2×C4×D8318yes—
572C4⋊C4C2×C4×D8314yes—
573C22⋊C4—3324no—
574C22⋊C4—3322no—
575C22⋊C4—3322no—
576C22⋊C4—838no—
577C22⋊C4—838no—
578C42—24no—
579C42—44no—
580C42—3324no—
581C42—3324no—
582C42—3324no—
583C42—834no—
584C42—834no—
585C42—834no—
586C42—838no—
587C42—1668no—
588C42—1664no—
589C42C2×C4×D8314yes—
590C42C2×C4×D8318yes—
591C23—832no—
592C23—1661no—
593C23—1661no—
594C23—1661no—
595C23—1661no—
596C23—1661no—
597C23—1661no—
598C23C24×D8311yescharacteristic
599Q8—28no—
600Q8—16616no—
601Q8—1668no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—832no—
618C2×C4—832no—
619C2×C4—832no—
620C2×C4—832no—
621C2×C4—832no—
622C2×C4—834no—
623C2×C4—834no—
624C2×C4—1668no—
625C2×C4—1664no—
626C2×C4—1662no—
627C2×C4—1662no—
628C2×C4—1662no—
629C2×C4—1662no—
630C2×C4—1662no—
631C2×C4—1664no—
632C2×C4—1664no—
633C2×C4—1662no—
634C2×C4—1662no—
635C2×C4—1662no—
636C2×C4—1661no—
637C2×C4—1662no—
638C2×C4—1661no—
639C2×C4—1661no—
640C2×C4—1661no—
641C2×C4—1662no—
642C2×C4—1668no—
643C2×C4—1668no—
644C2×C4C22×C4×D8312yes—
645C2×C4C22×C4×D8314yes—
646C2×C4C22×C4×D8314yes—
647C2×C4C22×C4×D8312yes—
648C2×C4C22×C4×D8312yes—
649C2×C4#1458183712yes—
650C2×C4#1458183912yes—
651C2×C4#1458184012yes—
652C2×C4#1458184012yes—
653C22—3321no—
654C22—3321no—
655C22—3321no—
656C22—3321no—
657C22—1662no—
658C22—1662no—
659C22—1662no—
660C22C23×C4×D8311yescharacteristic
661C22H(5,𝔽2)×D8311yescharacteristic
662C22C2×#1458183711yescharacteristic
663C222−1+4×D8311yescharacteristic
664C22C2×#1458183911yescharacteristic
665C22C2×#1458184011yescharacteristic
666C22C2×#1458184011yescharacteristic
667C4—22no—
668C4—24no—
669C4—24no—
670C4—42no—
671C4—44no—
672C4—42no—
673C4—3322no—
674C4—3324no—
675C4—3322no—
676C4—834no—
677C4—1662no—
678C4—1664no—
679C4—1662no—
680C4—1664no—
681C4#1912817714yes—
682C4#1912818214yes—
683C2—3322no—
684C2C2×#1912817711yescharacteristic
685C2#520×D8311yescharacteristic
686C2C2×#1912818211yescharacteristic
687C2#2492185611yescharacteristic
688C2#2492186911yescharacteristic
689C2#2492187011yescharacteristic
690C2#2492195511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingQ8×C4⋊C4×C83C2
socle, cosocleC23×C83C25
prime radicalC23×D83C24
hypercenterQ8×C4⋊C4D83
hypocenterC83#34374
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ Q8×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #24910645C2semidirect
3. #24910517C2semidirect
4. #24910516C2semidirect
5. #24910421C2semidirect
6. #24910420C2semidirect
7. #24910418C2semidirect
8. #24910375C2semidirect
9. #24910375C2semidirect
17. Q8×C4⋊C4×C83C2semidirect
18. #19128255C4semidirect
355. Q8×C4⋊C4D83semidirect
363. C83#34374semidirect

Maximal subgroups

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

subgroupindex
C2×#191282552
#249106452
#249105172
#249105162
#249104212
#249104202
#249104182
#249103752
#249101432
#249101402
#249101392
#249100712
#249100682
#249098682
#249098672
Q8×C4⋊C4×C832
#3437483