Finite Group Databasebeta

← #35564642

Subgroups — #35564642

Order 21248.

2350 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×Q8×D83C211yesmaximal, characteristic
2#24910421C212yesmaximal, complemented
3#24910420C211yesmaximal, characteristic, complemented
4#24910415C212yesmaximal, complemented
5C4⋊C4×Dic166C211yesmaximal, characteristic, complemented
6#24910375C211yesmaximal, characteristic, complemented
7#24910329C214yesmaximal
8#24910328C212yesmaximal
9#24910297C212yesmaximal
10#24910112C214yesmaximal, complemented
11#24910108C212yesmaximal, complemented
12#24909868C211yesmaximal, characteristic
13#24909867C212yesmaximal
14#24909859C211yesmaximal, characteristic
15#24909856C212yesmaximal
16#24909827C212yesmaximal, complemented
17C83×#2355C211yesmaximal, characteristic, complemented
18C22×Q8×D83C2211yescharacteristic
19C2×Q8×Dic83C2211yescharacteristic
20C2×C4×Dic166C2212yes—
21C2×C4×Dic166C2211yescharacteristic
22C2×C4×Dic166C2212yes—
23C2×#14581757C2212yes—
24C2×#14581757C2211yescharacteristic
25C2×#14581757C2212yes—
26C4×Q8×D83C4116yescomplemented
27C2×#14581750C2212yes—
28C2×#14581749C2214yes—
29C2×C4⋊C4×D83C2211yescharacteristic
30C2×C4⋊C4×D83C2212yes—
31C2×C42×D83C2212yes—
32C2×C42×D83C2211yescharacteristic
33#19127608C2212yes—
34#19127605C2214yes—
35#19127605C2214yes—
36#19127599C2212yes—
37#19127598C2214yes—
38#19127597C2212yes—
39#19127596C2214yes—
40#19127587C2214yes—
41#19127586C2214yes—
42#19127585C2214yes—
43#19127584C2214yes—
44#19127583C2214yes—
45#19127571C2211yescharacteristic
46#19127570C2212yes—
47#19127570C2212yes—
48#19127568C2214yes—
49#19127568C2212yes—
50#19127567C2212yes—
51#19127566C2212yes—
52#19127566C2211yescharacteristic
53#19127566C2211yescharacteristic
54#19127565C2214yes—
55#19127563C2214yes—
56#19127563C2212yes—
57#19127560C2214yes—
58#19127558C2211yescharacteristic
59#19127558C2212yes—
60#19127558C2211yescharacteristic
61#19127558C2212yes—
62C4⋊C4×Dic83C2212yes—
63C4⋊C4×Dic83C2212yes—
64C4⋊C4×Dic83C2212yes—
65C4⋊C4×Dic83C2212yes—
66C4⋊C4×Dic83C2212yes—
67C4×Dic83⋊C4C2214yes—
68C4×Dic83⋊C4C2214yes—
69C4×C4⋊Dic83C2211yescharacteristic
70C4×C4⋊Dic83C2212yes—
71#19127552C2214yes—
72C4×(C2×D83)⋊C4C2212yes—
73#19127548C2214yes—
74#19127547C2212yes—
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×D83C2311yescharacteristic
91C22×C4×D83C2312yes—
92C22×C4×D83C2312yes—
93C22×C4×D83C2311yescharacteristic
94Q8×Dic83C2×C418yes—
95C4×Dic166—28no—
96C4×Dic166C2×C4116yes—
97C4×Dic166C2×C418yes—
98#14581757—28no—
99#14581757C2×C4116yes—
100#14581757C2×C418yes—
101#14581750—44no—
102#14581749—48no—
103C2×C4⋊Dic83C2311yescharacteristic
104C2×C4⋊Dic83C2311yescharacteristic
105C2×C4⋊Dic83C2312yes—
106C2×C4⋊Dic83C2312yes—
107C2×C4⋊Dic83C2312yes—
108C2×C4⋊Dic83C2312yes—
109C2×C4⋊Dic83C2311yescharacteristic
110C2×Dic83⋊C4C2314yes—
111C2×Dic83⋊C4C2314yes—
112C2×Dic83⋊C4C2314yes—
113C2×Dic83⋊C4C2314yes—
114C2×Dic83⋊C4C2312yes—
115C2×Dic83⋊C4C2312yes—
116C2×Dic83⋊C4C2312yes—
117C4⋊C4×D83C2×C418yes—
118C4⋊C4×D83C2×C4116yes—
119C2×(C2×D83)⋊C4C2314yes—
120C2×(C2×D83)⋊C4C2312yes—
121C2×(C2×D83)⋊C4C2312yes—
122C2×C4×Dic83C2314yes—
123C2×C4×Dic83C2312yes—
124C2×C4×Dic83C2314yes—
125C2×C4×Dic83C2314yes—
126C2×C4×Dic83C2314yes—
127C2×C4×Dic83C2312yes—
128C2×C4×Dic83C2311yescharacteristic
129C2×C4×Dic83C2312yes—
130C2×C4×Dic83C2311yescharacteristic
131C2×C4×Dic83C2312yes—
132C2×C4×Dic83C2311yescharacteristic
133C42×D83C2×C4116yes—
134C42×D83C2×C418yes—
135C83⋊#95C2312yes—
136C83⋊#95C2314yes—
137C83⋊#95C2312yes—
138C83⋊#95C2312yes—
139C83⋊#95C2312yes—
140C83⋊#95C2314yes—
141C83⋊#95C2314yes—
142C83⋊#95C2314yes—
143C83⋊#95C2314yes—
144C83⋊#95C2314yes—
145C83⋊#95C2312yes—
146C83⋊#95C2312yes—
147C83⋊#95C2312yes—
148C83⋊#95C2314yes—
149C22×Q8×C83C2311yescharacteristic
150C4×Q8×C83C2×C418yes—
151C2×C4⋊C4×C83C2311yescharacteristic
152C2×C4⋊C4×C83C2312yes—
153C2×C4⋊C4×C83C2312yes—
154C2×C4⋊C4×C83C2311yescharacteristic
155C2×C4⋊C4×C83C2312yes—
156C2×C4⋊C4×C83C2311yescharacteristic
157C2×C4⋊C4×C83C2312yes—
158C2×C42×C83C2312yes—
159C2×C42×C83C2314yes—
160C2×C42×C83C2312yes—
161C2×C42×C83C2311yescharacteristic
162#95×C83C2314yes—
163#95×C83C2314yes—
164#95×C83C2312yes—
165#95×C83C2314yes—
166C23×D83C2411yescharacteristic
167C2×Dic166—24no—
168C2×Dic166—24no—
169C2×Dic166C22×C418yes—
170C2×Dic166C22×C414yes—
171C2×Dic166#4114yes—
172C2×Dic166#4114yes—
173Q8×D83—232no—
174C22×Dic83C2412yes—
175C22×Dic83C2412yes—
176C22×Dic83C2414yes—
177C22×Dic83C2411yescharacteristic
178C22×Dic83C2411yescharacteristic
179C22×Dic83C2411yescharacteristic
180C22×Dic83C2412yes—
181C22×Dic83C2412yes—
182C2×C4×D83—24no—
183C2×C4×D83—22no—
184C2×C4×D83—24no—
185C2×C4×D83—22no—
186C2×C4×D83—22no—
187C2×C4×D83—22no—
188C2×C4×D83—22no—
189C2×C4×D83—22no—
190C2×C4×D83—24no—
191C2×C4×D83—24no—
192C2×C4×D83C22×C414yes—
193C2×C4×D83C22×C418yes—
194C2×C4×D83C22×C414yes—
195C2×C4×D83C22×C418yes—
196C2×C4×D83C22×C414yes—
197C4⋊Dic83—24no—
198C4⋊Dic83—22no—
199C4⋊Dic83—22no—
200C4⋊Dic83—24no—
201C4⋊Dic83—42no—
202C4⋊Dic83C22×C418yes—
203C4⋊Dic83C22×C414yes—
204Dic83⋊C4—28no—
205Dic83⋊C4—28no—
206Dic83⋊C4—44no—
207Dic83⋊C4—44no—
208Dic83⋊C4C22×C418yes—
209Dic83⋊C4C22×C418yes—
210Dic83⋊C4C22×C418yes—
211(C2×D83)⋊C4—24no—
212(C2×D83)⋊C4—28no—
213(C2×D83)⋊C4—24no—
214C4×Dic83—24no—
215C4×Dic83—28no—
216C4×Dic83—28no—
217C4×Dic83—44no—
218C4×Dic83—44no—
219C4×Dic83C22×C414yes—
220C4×Dic83C22×C418yes—
221C4×Dic83C22×C418yes—
222C4×Dic83C22×C414yes—
223C4×Dic83C22×C414yes—
224C4×Dic83C22×C418yes—
225C2×Q8×C83—22no—
226C2×Q8×C83—22no—
227C2×Q8×C83C22×C414yes—
228C22×C4×C83C2412yes—
229C22×C4×C83C2412yes—
230C22×C4×C83C2414yes—
231C22×C4×C83C2412yes—
232C22×C4×C83C2412yes—
233C22×C4×C83C2411yescharacteristic
234C22×C4×C83C2411yescharacteristic
235C22×C4×C83C2411yescharacteristic
236C4⋊C4×C83—24no—
237C4⋊C4×C83—22no—
238C4⋊C4×C83—24no—
239C4⋊C4×C83—22no—
240C4⋊C4×C83—42no—
241C4⋊C4×C83C22×C418yes—
242C4⋊C4×C83C22×C414yes—
243C42×C83—24no—
244C42×C83—44no—
245C42×C83C22×C418yes—
246C42×C83C22×C414yes—
247C23×C83C2511yescharacteristic
248C22×D83—21no—
249C22×D83—21no—
250C22×D83—21no—
251C22×D83—21no—
252C22×D83C23×C412yes—
253C22×D83H(5,𝔽2)12yes—
254C22×D832−1+412yes—
255Q8×C83—28no—
256C2×C4×C83—22no—
257C2×C4×C83—22no—
258C2×C4×C83—22no—
259C2×C4×C83—21no—
260C2×C4×C83—22no—
261C2×C4×C83—21no—
262C2×C4×C83—22no—
263C2×C4×C83—22no—
264C2×C4×C83—24no—
265C2×C4×C83—22no—
266C2×C4×C83—24no—
267C2×C4×C83—24no—
268C2×C4×C83—22no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83C23×C414yes—
272C2×C4×C83C23×C412yes—
273C2×C4×C83C23×C414yes—
274C2×C4×C83C23×C412yes—
275C2×C4×C83C23×C412yes—
276C2×C4×C83C2×#4112yes—
277C2×C4×C83C2×#4112yes—
278C2×C4×C832−1+412yes—
279C2×C4×C832−1+412yes—
280C2×Dic83—21no—
281C2×Dic83—21no—
282C2×Dic83—21no—
283C2×Dic83—22no—
284C2×Dic83—21no—
285C2×Dic83—22no—
286C2×Dic83—21no—
287C2×Dic83—21no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—24no—
291C2×Dic83—22no—
292C2×Dic83—24no—
293C2×Dic83—22no—
294C2×Dic83—22no—
295C2×Dic83—24no—
296C2×Dic83—22no—
297C2×Dic83C23×C412yes—
298C2×Dic83C23×C412yes—
299C2×Dic83C23×C414yes—
300C2×Dic83C23×C412yes—
301C2×Dic83C23×C414yes—
302C2×Dic83C2×#4114yes—
303C2×Dic83C2×#4114yes—
304C4×D83—216no—
305C4×D83—28no—
306C4×D83—28no—
307C4×D83—28no—
308C4×D83—216no—
309Dic166—216no—
310Dic166#117116yescomplemented
311C22×C83C24×C411yescharacteristic
312C22×C83C22×#4111yescharacteristic
313C22×C83C22×#4111yescharacteristic
314C22×C83C2×H(5,𝔽2)11yescharacteristic
315C22×C83C2×2−1+411yescharacteristic
316C22×C83C2×2−1+411yescharacteristic
317C22×C83C2×2−1+411yescharacteristic
318C2×D83—22no—
319C2×D83—22no—
320C2×D83—22no—
321C2×D83—22no—
322C2×D83—22no—
323C2×D83—22no—
324C2×D83#52014yes—
325C4×C83—24no—
326C4×C83—24no—
327C4×C83—22no—
328C4×C83—44no—
329C4×C83—42no—
330C4×C83—42no—
331C4×C83C2×#11714yes—
332C4×C83#51914yes—
333Dic83—22no—
334Dic83—22no—
335Dic83—22no—
336Dic83—24no—
337Dic83—42no—
338Dic83—44no—
339Dic83—42no—
340Dic83C2×#11718yes—
341#34196—831nomaximal, Sylow
342C2×C83C22×#11711yescharacteristic
343C2×C83C2×#51911yescharacteristic
344C2×C83C2×#52011yescharacteristic
345C2×C83#352211yescharacteristic
346C2×C83#352211yescharacteristic
347C2×C83#352311yescharacteristic
348C2×C83#352311yescharacteristic
349D83—24no—
350C22×C4×Q8—831no—
351#2355—832no—
352#2355—832no—
353#2355—831no—
354#2355D8311yescharacteristic, complemented
355Q8×C4⋊C4—831no—
356Q8×C4⋊C4—831no—
357#2344—834no—
358#2344—832no—
359Q8×C22⋊C4—832no—
360#2320—832no—
361#2320—834no—
362#2285—831no—
363#2285—832no—
364#2283—832no—
365#2283—831no—
366#2276—832no—
367C83#3419611yescharacteristic, complemented, Sylow
368C23×Q8—831no—
369C2×C4×Q8—831no—
370C2×C4×Q8—8316no—
371C2×C4×Q8—832no—
372C2×C4×Q8—831no—
373C2×C4×Q8—832no—
374C2×C4×Q8—831no—
375C2×C4×Q8—832no—
376C2×C4×Q8—832no—
377C2×C4×Q8C2×D8311yescharacteristic
378C2×#117—832no—
379C2×#117—834no—
380C22×C4⋊C4—832no—
381C22×C4⋊C4—831no—
382C22×C42—831no—
383C22×C42—832no—
384#391—832no—
385#391—834no—
386#391—834no—
387#391C2×D8312yes—
388#389—834no—
389#389—832no—
390#389—832no—
391#389—834no—
392#387—834no—
393#387—834no—
394#387—834no—
395#387—834no—
396#387—834no—
397#387C2×D8314yes—
398#384—832no—
399#384—832no—
400#384—831no—
401#384C2×D8311yescharacteristic
402#383—832no—
403#383—834no—
404#382—832no—
405#382—831no—
406#382—831no—
407#382—832no—
408#382—834no—
409#382C2×D8312yes—
410#381—832no—
411#381—834no—
412#380—832no—
413#380—831no—
414#380—832no—
415#380—831no—
416#380—834no—
417C4×C4⋊C4—832no—
418C4×C4⋊C4—832no—
419C4×C4⋊C4—832no—
420C4×C4⋊C4—832no—
421C4×C4⋊C4—832no—
422C4×C4⋊C4—831no—
423C4×C4⋊C4—832no—
424C4×C4⋊C4—834no—
425C4×C4⋊C4—834no—
426C4×C4⋊C4—834no—
427C4×C4⋊C4C2×D8312yes—
428C4×C4⋊C4C2×D8311yescharacteristic
429C4×C4⋊C4C2×D8312yes—
430C4×C22⋊C4—832no—
431C4×C22⋊C4—834no—
432#376—832no—
433#376—834no—
434C22×Q8—838no—
435C22×Q8—831no—
436C22×Q8—832no—
437C22×Q8—1664no—
438C22×Q8—1664no—
439C22×Q8C22×D8311yescharacteristic
440C23×C4—831no—
441C23×C4—832no—
442C23×C4—832no—
443C23×C4—831no—
444C23×C4—831no—
445C4×Q8—838no—
446C4×Q8—838no—
447C4×Q8—8316no—
448C4×Q8—838no—
449C4×Q8—8316no—
450C4×Q8—1668no—
451C4×Q8—1668no—
452C4×Q8C4×D8318yes—
453#117—3328no—
454#117—3324no—
455C2×C4⋊C4—834no—
456C2×C4⋊C4—834no—
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—8316no—
464C2×C4⋊C4—838no—
465C2×C4⋊C4—834no—
466C2×C4⋊C4—834no—
467C2×C4⋊C4—832no—
468C2×C4⋊C4—831no—
469C2×C4⋊C4—831no—
470C2×C4⋊C4—832no—
471C2×C4⋊C4C22×D8312yes—
472C2×C4⋊C4C22×D8311yescharacteristic
473C2×C4⋊C4C22×D8312yes—
474C2×C4⋊C4C22×D8311yescharacteristic
475C2×C4⋊C4C22×D8312yes—
476C2×C4⋊C4C22×D8311yescharacteristic
477C2×C4⋊C4C22×D8312yes—
478C2×C22⋊C4—834no—
479C2×C22⋊C4—832no—
480C2×C22⋊C4—832no—
481C2×C42—834no—
482C2×C42—834no—
483C2×C42—832no—
484C2×C42—831no—
485C2×C42—831no—
486C2×C42—832no—
487C2×C42—831no—
488C2×C42—832no—
489C2×C42—8316no—
490C2×C42—838no—
491C2×C42—834no—
492C2×C42—834no—
493C2×C42—832no—
494C2×C42C22×D8312yes—
495C2×C42C22×D8314yes—
496C2×C42C22×D8312yes—
497C2×C42C22×D8311yescharacteristic
498#95—832no—
499#95—834no—
500#95—832no—
501#95—832no—
502#95—832no—
503#95—834no—
504#95—832no—
505#95—832no—
506#95—834no—
507#95—834no—
508#95—834no—
509#95—834no—
510#95—834no—
511#95—832no—
512#95C22×D8314yes—
513#95C22×D8314yes—
514#95C22×D8314yes—
515#95C22×D8312yes—
516C24—831no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—834no—
520C2×Q8—838no—
521C2×Q8—834no—
522C2×Q8—834no—
523C2×Q8—1664no—
524C2×Q8—1664no—
525C2×Q8—16632no—
526C2×Q8C2×C4×D8314yes—
527C22×C4—832no—
528C22×C4—831no—
529C22×C4—831no—
530C22×C4—831no—
531C22×C4—832no—
532C22×C4—834no—
533C22×C4—834no—
534C22×C4—838no—
535C22×C4—838no—
536C22×C4—834no—
537C22×C4—832no—
538C22×C4—832no—
539C22×C4—834no—
540C22×C4—1664no—
541C22×C4—1664no—
542C22×C4—1664no—
543C22×C4—1662no—
544C22×C4—1664no—
545C22×C4—1662no—
546C22×C4—1662no—
547C22×C4—1662no—
548C22×C4—1662no—
549C22×C4—1662no—
550C22×C4C23×D8312yes—
551C22×C4C23×D8314yes—
552C22×C4C23×D8312yes—
553C22×C4C23×D8312yes—
554C22×C4C23×D8312yes—
555C22×C4C23×D8311yescharacteristic
556C22×C4C23×D8311yescharacteristic
557C22×C4C23×D8311yescharacteristic
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—42no—
563C4⋊C4—3324no—
564C4⋊C4—3324no—
565C4⋊C4—3322no—
566C4⋊C4—838no—
567C4⋊C4—838no—
568C4⋊C4—838no—
569C4⋊C4—838no—
570C4⋊C4—834no—
571C4⋊C4—1668no—
572C4⋊C4—1668no—
573C4⋊C4—1664no—
574C4⋊C4—1662no—
575C4⋊C4—1662no—
576C4⋊C4—1664no—
577C4⋊C4C2×C4×D8318yes—
578C4⋊C4C2×C4×D8314yes—
579C22⋊C4—1664no—
580C22⋊C4—1668no—
581C22⋊C4—1664no—
582C42—24no—
583C42—44no—
584C42—3324no—
585C42—3324no—
586C42—838no—
587C42—838no—
588C42—838no—
589C42—834no—
590C42—834no—
591C42—834no—
592C42—1668no—
593C42—1668no—
594C42—1664no—
595C42C2×C4×D8318yes—
596C42C2×C4×D8314yes—
597C23—832no—
598C23—832no—
599C23—832no—
600C23—1661no—
601C23—1661no—
602C23—1661no—
603C23—1661no—
604C23C24×D8311yescharacteristic
605Q8—28no—
606Q8—8316no—
607Q8—16616no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—834no—
624C2×C4—834no—
625C2×C4—834no—
626C2×C4—832no—
627C2×C4—832no—
628C2×C4—834no—
629C2×C4—832no—
630C2×C4—16616no—
631C2×C4—16616no—
632C2×C4—1668no—
633C2×C4—1662no—
634C2×C4—1662no—
635C2×C4—1664no—
636C2×C4—1662no—
637C2×C4—1664no—
638C2×C4—1662no—
639C2×C4—1662no—
640C2×C4—1664no—
641C2×C4—1662no—
642C2×C4—1661no—
643C2×C4—1661no—
644C2×C4—1661no—
645C2×C4—1662no—
646C2×C4—1661no—
647C2×C4—1662no—
648C2×C4—1661no—
649C2×C4—1661no—
650C2×C4—1668no—
651C2×C4—1668no—
652C2×C4C22×C4×D8314yes—
653C2×C4C22×C4×D8312yes—
654C2×C4C22×C4×D8314yes—
655C2×C4C22×C4×D8312yes—
656C2×C4C22×C4×D8312yes—
657C2×C4#41×D8312yes—
658C2×C4#41×D8312yes—
659C2×C4#1458183912yes—
660C2×C4#1458184012yes—
661C22—834no—
662C22—1662no—
663C22—1662no—
664C22—1662no—
665C22—1662no—
666C22—1662no—
667C22—1662no—
668C22C23×C4×D8311yescharacteristic
669C22C2×#41×D8311yescharacteristic
670C22C2×#41×D8311yescharacteristic
671C22H(5,𝔽2)×D8311yescharacteristic
672C222−1+4×D8311yescharacteristic
673C22C2×#1458183911yescharacteristic
674C22C2×#1458184011yescharacteristic
675C4—24no—
676C4—24no—
677C4—22no—
678C4—44no—
679C4—42no—
680C4—42no—
681C4—3322no—
682C4—3324no—
683C4—3322no—
684C4—838no—
685C4—1662no—
686C4—1662no—
687C4—1662no—
688C4—1664no—
689C4#117×D8314yes—
690C4#1912817714yes—
691C2—1664no—
692C2C2×#117×D8311yescharacteristic
693C2C2×#1912817711yescharacteristic
694C2#520×D8311yescharacteristic
695C2#2492154511yescharacteristic
696C2#2492154711yescharacteristic
697C2#2492155611yescharacteristic
698C2#2492155811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2355C2
socle, cosocleC23×C83C25
prime radicalC23×D83C24
hypercenter#2355D83
hypocenterC83#34196
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2355

Complements

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

NH ≅ G/Ntype
2. #24910421C2semidirect
3. #24910420C2semidirect
4. #24910415C2semidirect
5. C4⋊C4×Dic166C2semidirect
6. #24910375C2semidirect
10. #24910112C2semidirect
11. #24910108C2semidirect
16. #24909827C2semidirect
17. C83×#2355C2semidirect
26. C4×Q8×D83C4semidirect
310. Dic166#117semidirect
354. #2355D83semidirect
367. C83#34196semidirect

Maximal subgroups

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

subgroupindex
C2×C4×Q8×D832
#249104212
#249104202
#249104152
C4⋊C4×Dic1662
#249103752
#249103292
#249103282
#249102972
#249101122
#249101082
#249098682
#249098672
#249098592
#249098562
#249098272
C83×#23552
#3419683