Finite Group Databasebeta

← #35564795

Subgroups — #35564795

Order 21248.

2854 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
1C22×#14581791C211yesmaximal, characteristic
2C2×#19128178C212yesmaximal
3#24910522C212yesmaximal, complemented
4#24910518C214yesmaximal, complemented
5#24910516C212yesmaximal, complemented
6#24910334C211yesmaximal, characteristic
7#24910333C212yesmaximal
8#24910332C211yesmaximal, characteristic
9#24910330C211yesmaximal, characteristic
10#24910327C212yesmaximal
11#24910178C214yesmaximal, complemented
12#24910048C212yesmaximal
13#24910034C212yesmaximal, complemented
14C4×#14581791C212yesmaximal, complemented
15#24909865C211yesmaximal, characteristic
16C4×#14581748C211yesmaximal, characteristic
17C83×#2344C211yesmaximal, characteristic
18C23×Dic166C2212yes—
19C2×#14581791C4116yescomplemented
20C2×#14581791C2212yes—
21C2×#14581791C2211yescharacteristic
22C2×#14581791C2212yes—
23C2×#14581791C2211yescharacteristic
24C2×#14581791C2211yescharacteristic
25C2×#14581791C2211yescharacteristic
26#19128178—216no—
27C2×C4×Dic166C2214yes—
28C2×C4×Dic166C2214yes—
29C2×#14581757C2214yes—
30C2×#14581757C2214yes—
31C2×#14581751C2212yes—
32C2×#14581748C2212yes—
33C2×#14581748C2212yes—
34C2×#14581748C2212yes—
35C2×#14581748C2211yescharacteristic
36C2×#14581748C2211yescharacteristic
37C22×C4⋊Dic83C2211yescharacteristic
38C22×Dic83⋊C4C2212yes—
39C22×C4×Dic83C2211yescharacteristic
40#19127605C2214yes—
41#19127605C2214yes—
42#19127605C2214yes—
43#19127605C2214yes—
44#19127600C2212yes—
45#19127599C2212yes—
46#19127598C2214yes—
47#19127597C2212yes—
48#19127596C2214yes—
49#19127588C2214yes—
50#19127587C2214yes—
51#19127586C2214yes—
52#19127585C2214yes—
53#19127584C2214yes—
54#19127583C2214yes—
55#19127582C2214yes—
56#19127570C2212yes—
57#19127565C2212yes—
58#19127564C2212yes—
59#19127562C2212yes—
60#19127562C2212yes—
61#19127561C2211yescharacteristic
62#19127559C2212yes—
63C4⋊C4×Dic83C2212yes—
64C4⋊C4×Dic83C2212yes—
65C4⋊C4×Dic83C2212yes—
66C4×Dic83⋊C4C2212yes—
67C4×Dic83⋊C4C2214yes—
68C4×C4⋊Dic83C2212yes—
69#19127552C2212yes—
70#19127552C2212yes—
71#19127552C2214yes—
72C22⋊C4×Dic83C2211yescharacteristic
73C22⋊C4×Dic83C2211yescharacteristic
74C4×C22⋊Dic83C2211yescharacteristic
75#19127546C2212yes—
76C42×Dic83C2212yes—
77C2×#117×C83C2212yes—
78C22×C4⋊C4×C83C2211yescharacteristic
79#389×C83C2212yes—
80#387×C83C2214yes—
81#381×C83C2212yes—
82#380×C83C2211yescharacteristic
83C4×C4⋊C4×C83C2212yes—
84C4×C22⋊C4×C83C2211yescharacteristic
85C22×Dic166—28no—
86C22×Dic166—28no—
87C22×Dic166C2×C4116yes—
88C22×Dic166C2312yes—
89C22×Dic166C2312yes—
90C22×Dic166C2312yes—
91C22×Dic166C2312yes—
92C23×Dic83C2311yescharacteristic
93C23×Dic83C2312yes—
94C23×Dic83C2311yescharacteristic
95#14581791C2×C4116yes—
96#14581791C2×C418yes—
97#14581791C2×C4116yes—
98#14581791C2×C418yes—
99#14581791C2×C418yes—
100#14581791C2×C418yes—
101C4×Dic166—216no—
102C4×Dic166—216no—
103#14581757—216no—
104#14581757—216no—
105#14581751—28no—
106#14581748—28no—
107#14581748—24no—
108#14581748—28no—
109#14581748—28no—
110#14581748D418yes—
111C2×C4⋊Dic83C2×C418yes—
112C2×C4⋊Dic83C2312yes—
113C2×C4⋊Dic83C2314yes—
114C2×C4⋊Dic83C2311yescharacteristic
115C2×C4⋊Dic83C2311yescharacteristic
116C2×C4⋊Dic83C2312yes—
117C2×Dic83⋊C4C2×C4116yes—
118C2×Dic83⋊C4C2314yes—
119C2×Dic83⋊C4C2312yes—
120C2×Dic83⋊C4C2314yes—
121C2×Dic83⋊C4C2314yes—
122C2×Dic83⋊C4C2314yes—
123C2×Dic83⋊C4C2312yes—
124C2×Dic83⋊C4C2312yes—
125C2×Dic83⋊C4C2312yes—
126C2×Dic83⋊C4C2312yes—
127C2×Dic83⋊C4C2312yes—
128C2×C22⋊Dic83C2312yes—
129C2×C22⋊Dic83C2311yescharacteristic
130C2×C22⋊Dic83C2311yescharacteristic
131C2×C4×Dic83C2×C418yes—
132C2×C4×Dic83C2312yes—
133C2×C4×Dic83C2312yes—
134C2×C4×Dic83C2314yes—
135C2×C4×Dic83C2314yes—
136C2×C4×Dic83C2314yes—
137C2×C4×Dic83C2314yes—
138C2×C4×Dic83C2312yes—
139C2×C4×Dic83C2312yes—
140C2×C4×Dic83C2311yescharacteristic
141C2×C4×Dic83C2311yescharacteristic
142C2×C4×Dic83C2311yescharacteristic
143C2×C4×Dic83C2311yescharacteristic
144C2×C4×Dic83C2312yes—
145C83⋊#95C2312yes—
146C83⋊#95C2314yes—
147C83⋊#95C2312yes—
148C83⋊#95C2314yes—
149C83⋊#95C2314yes—
150C83⋊#95C2314yes—
151C83⋊#95C2312yes—
152C83⋊#95C2312yes—
153C83⋊#95C2314yes—
154C83⋊#95C2314yes—
155C83⋊#95C2314yes—
156C23×C4×C83C2311yescharacteristic
157C23×C4×C83C2312yes—
158#117×C83—28no—
159C2×C4⋊C4×C83C2×C418yes—
160C2×C4⋊C4×C83C2312yes—
161C2×C4⋊C4×C83C2314yes—
162C2×C4⋊C4×C83C2311yescharacteristic
163C2×C4⋊C4×C83C2312yes—
164C2×C4⋊C4×C83C2311yescharacteristic
165C2×C22⋊C4×C83C2312yes—
166C2×C22⋊C4×C83C2311yescharacteristic
167C2×C22⋊C4×C83C2311yescharacteristic
168C2×C42×C83C2312yes—
169C2×C42×C83C2314yes—
170#95×C83C2312yes—
171#95×C83C2314yes—
172#95×C83C2312yes—
173#95×C83C2314yes—
174C2×Dic166—264no—
175C2×Dic166—24no—
176C2×Dic166—24no—
177C2×Dic166—24no—
178C2×Dic166—24no—
179C2×Dic166—24no—
180C2×Dic166—24no—
181C2×Dic166—24no—
182C2×Dic166—24no—
183C2×Dic166C22×C418yes—
184C2×Dic166C22×C418yes—
185C2×Dic166C22×C418yes—
186C2×Dic166C22×C418yes—
187C22×Dic83—24no—
188C22×Dic83—24no—
189C22×Dic83—24no—
190C22×Dic83C22×C418yes—
191C22×Dic83C22×C414yes—
192C22×Dic83C22×C414yes—
193C22×Dic83C2×D414yes—
194C22×Dic83#4114yes—
195C22×Dic83C2412yes—
196C22×Dic83C2414yes—
197C22×Dic83C2412yes—
198C22×Dic83C2412yes—
199C22×Dic83C2411yescharacteristic
200C22×Dic83C2412yes—
201C22×Dic83C2411yescharacteristic
202C22×Dic83C2411yescharacteristic
203C22×Dic83C2411yescharacteristic
204C4⋊Dic83—24no—
205C4⋊Dic83—28no—
206C4⋊Dic83C22×C418yes—
207C4⋊Dic83C22×C414yes—
208C4⋊Dic83C22×C414yes—
209Dic83⋊C4—28no—
210Dic83⋊C4—28no—
211Dic83⋊C4—28no—
212Dic83⋊C4—24no—
213Dic83⋊C4—28no—
214Dic83⋊C4C22×C418yes—
215Dic83⋊C4C22×C418yes—
216Dic83⋊C4C22×C418yes—
217Dic83⋊C4C22×C418yes—
218Dic83⋊C4C2×D418yes—
219C22⋊Dic83—24no—
220C22⋊Dic83—22no—
221C22⋊Dic83C2×D414yes—
222C4×Dic83—28no—
223C4×Dic83—24no—
224C4×Dic83—28no—
225C4×Dic83—28no—
226C4×Dic83—28no—
227C4×Dic83—24no—
228C4×Dic83—24no—
229C4×Dic83—24no—
230C4×Dic83C22×C414yes—
231C4×Dic83C22×C414yes—
232C4×Dic83C22×C414yes—
233C4×Dic83C22×C414yes—
234C4×Dic83C2×D418yes—
235C24×C83C2411yescharacteristic
236C22×C4×C83—24no—
237C22×C4×C83—24no—
238C22×C4×C83—24no—
239C22×C4×C83C22×C418yes—
240C22×C4×C83C22×C414yes—
241C22×C4×C83C2412yes—
242C22×C4×C83C2414yes—
243C22×C4×C83C2412yes—
244C22×C4×C83C2412yes—
245C22×C4×C83C2411yescharacteristic
246C22×C4×C83C2412yes—
247C22×C4×C83C2411yescharacteristic
248C4⋊C4×C83—28no—
249C4⋊C4×C83—24no—
250C4⋊C4×C83C22×C418yes—
251C4⋊C4×C83C22×C414yes—
252C4⋊C4×C83C22×C414yes—
253C22⋊C4×C83—24no—
254C22⋊C4×C83—22no—
255C22⋊C4×C83C2×D414yes—
256C42×C83—28no—
257C42×C83—24no—
258C23×C83—22no—
259C23×C83—22no—
260C23×C83C23×C412yes—
261C23×C83C22×D412yes—
262C23×C83C2×#4112yes—
263C23×C83C2511yescharacteristic
264C2×C4×C83—216no—
265C2×C4×C83—22no—
266C2×C4×C83—22no—
267C2×C4×C83—22no—
268C2×C4×C83—22no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83—22no—
272C2×C4×C83—28no—
273C2×C4×C83—24no—
274C2×C4×C83—22no—
275C2×C4×C83—22no—
276C2×C4×C83—24no—
277C2×C4×C83—22no—
278C2×C4×C83—24no—
279C2×C4×C83C23×C412yes—
280C2×C4×C83C23×C414yes—
281C2×C4×C83C23×C414yes—
282C2×C4×C83C23×C412yes—
283C2×C4×C83C22×D414yes—
284C2×C4×C832−1+414yes—
285C2×Dic83—216no—
286C2×Dic83—22no—
287C2×Dic83—22no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—22no—
292C2×Dic83—22no—
293C2×Dic83—28no—
294C2×Dic83—24no—
295C2×Dic83—22no—
296C2×Dic83—22no—
297C2×Dic83—22no—
298C2×Dic83—24no—
299C2×Dic83—24no—
300C2×Dic83C4×D4116yes—
301C2×Dic83C23×C412yes—
302C2×Dic83C23×C414yes—
303C2×Dic83C23×C414yes—
304C2×Dic83C23×C412yes—
305C2×Dic83C23×C412yes—
306C2×Dic83C23×C412yes—
307C2×Dic83C22×D414yes—
308C2×Dic83C22×D412yes—
309C2×Dic83C22×D412yes—
310C2×Dic83C2×#4112yes—
311C2×Dic83C2×#4112yes—
312C2×Dic832−1+414yes—
313Dic166—216no—
314Dic166—216no—
315Dic166—216no—
316Dic166—216no—
317C22×C83—22no—
318C22×C83—22no—
319C22×C83—24no—
320C22×C83—24no—
321C22×C83C2×C4×D414yes—
322C22×C83C24×C411yescharacteristic
323C22×C83C23×D411yescharacteristic
324C22×C83C22×#4111yescharacteristic
325C22×C83C2×2−1+412yes—
326C22×C83C2×2−1+412yes—
327C4×C83—24no—
328C4×C83—24no—
329C4×C83—22no—
330C4×C83—24no—
331C4×C83—44no—
332C4×C83—42no—
333C4×C83#51914yescomplemented
334Dic83—24no—
335Dic83—24no—
336Dic83—22no—
337Dic83—24no—
338Dic83—44no—
339Dic83—42no—
340Dic83C2×C4×D414yes—
341Dic83C2×C4×D414yes—
342Dic83#51914yescomplemented
343#34209—831nomaximal, Sylow
344C2×C83—24no—
345C2×C83C22×C4×D411yescharacteristic
346C2×C83C2×#51911yescharacteristic
347C2×C83C2×#51911yescharacteristic
348C2×C83#349912yes—
349C2×C83#350912yes—
350C22×C4⋊Q8—831no—
351C2×#519—832no—
352#2365—832no—
353#2365—834no—
354#2365—832no—
355#2344—832no—
356#2344—831no—
357#2344—831no—
358#2344—832no—
359#2344—831no—
360#2344D8311yescharacteristic
361#2327—834no—
362#2310—832no—
363C4×C4⋊Q8—832no—
364C4×C4⋊Q8—832no—
365#2285—831no—
366C4×#117—831no—
367C83#3420911yescharacteristic, complemented, Sylow
368C23×Q8—832no—
369C2×C4⋊Q8—8316no—
370C2×C4⋊Q8—831no—
371C2×C4⋊Q8—831no—
372C2×C4⋊Q8—832no—
373C2×C4⋊Q8—832no—
374C2×C4⋊Q8—831no—
375C2×C4⋊Q8—831no—
376#519—16616no—
377C2×C4×Q8—834no—
378C2×C4×Q8—834no—
379C2×C4×Q8—834no—
380C2×C4×Q8—834no—
381C2×#117—832no—
382C2×#117—831no—
383C2×#117—831no—
384C2×#117—832no—
385C2×#117—832no—
386C2×#117—832no—
387C2×#117C2×D8312yes—
388C22×C4⋊C4—832no—
389C22×C4⋊C4—831no—
390C22×C4⋊C4C2×D8311yescharacteristic
391C22×C42—831no—
392#391—834no—
393#391—834no—
394#391—834no—
395#391—834no—
396#389—834no—
397#389—832no—
398#389—832no—
399#389—832no—
400#389—834no—
401#389C2×D8312yes—
402#387—834no—
403#387—834no—
404#387—834no—
405#387—834no—
406#387—834no—
407#387—834no—
408#387—834no—
409#387C2×D8314yes—
410#384—832no—
411#382—832no—
412#381—832no—
413#381—832no—
414#381—832no—
415#381C2×D8312yes—
416#380—831no—
417#380—832no—
418#380C2×D8311yescharacteristic
419C4×C4⋊C4—832no—
420C4×C4⋊C4—832no—
421C4×C4⋊C4—832no—
422C4×C4⋊C4—832no—
423C4×C4⋊C4—834no—
424C4×C4⋊C4—832no—
425C4×C4⋊C4—834no—
426C4×C4⋊C4—832no—
427C4×C4⋊C4—832no—
428C4×C4⋊C4C2×D8312yes—
429C4×C22⋊C4—831no—
430C4×C22⋊C4—831no—
431C4×C22⋊C4—831no—
432C4×C22⋊C4C2×D8311yescharacteristic
433#376—832no—
434C43—832no—
435C22×Q8—8316no—
436C22×Q8—832no—
437C22×Q8—832no—
438C22×Q8—832no—
439C22×Q8—832no—
440C22×Q8—1668no—
441C22×Q8—1668no—
442C23×C4—831no—
443C23×C4—832no—
444C23×C4—831no—
445C23×C4C22×D8312yes—
446C23×C4C22×D8311yescharacteristic
447C4⋊Q8—838no—
448C4⋊Q8—838no—
449C4⋊Q8—8316no—
450C4⋊Q8—8316no—
451C4⋊Q8—838no—
452C4⋊Q8—838no—
453C4×Q8—16616no—
454C4×Q8—16616no—
455C4×Q8—16616no—
456C4×Q8—16616no—
457#117—28no—
458#117—838no—
459#117—1668no—
460#117—1668no—
461#117—1664no—
462#117—1668no—
463#117—1668no—
464C2×C4⋊C4—8316no—
465C2×C4⋊C4—838no—
466C2×C4⋊C4—832no—
467C2×C4⋊C4—832no—
468C2×C4⋊C4—831no—
469C2×C4⋊C4—831no—
470C2×C4⋊C4—832no—
471C2×C4⋊C4—832no—
472C2×C4⋊C4—832no—
473C2×C4⋊C4—832no—
474C2×C4⋊C4—834no—
475C2×C4⋊C4—834no—
476C2×C4⋊C4—834no—
477C2×C4⋊C4—834no—
478C2×C4⋊C4—832no—
479C2×C4⋊C4—834no—
480C2×C4⋊C4—832no—
481C2×C4⋊C4C4×D8318yes—
482C2×C4⋊C4C22×D8314yes—
483C2×C4⋊C4C22×D8312yes—
484C2×C4⋊C4C22×D8311yescharacteristic
485C2×C4⋊C4C22×D8311yescharacteristic
486C2×C4⋊C4C22×D8312yes—
487C2×C22⋊C4—831no—
488C2×C22⋊C4—832no—
489C2×C22⋊C4—831no—
490C2×C22⋊C4C22×D8312yes—
491C2×C22⋊C4C22×D8311yescharacteristic
492C2×C22⋊C4C22×D8311yescharacteristic
493C2×C42—838no—
494C2×C42—832no—
495C2×C42—831no—
496C2×C42—831no—
497C2×C42—831no—
498C2×C42—831no—
499C2×C42—834no—
500C2×C42—834no—
501C2×C42—834no—
502C2×C42—834no—
503C2×C42—832no—
504C2×C42—832no—
505C2×C42—832no—
506C2×C42—832no—
507C2×C42C22×D8314yes—
508C2×C42C22×D8312yes—
509#95—832no—
510#95—832no—
511#95—832no—
512#95—834no—
513#95—832no—
514#95—834no—
515#95—834no—
516#95—834no—
517#95—834no—
518#95—834no—
519#95—834no—
520#95C22×D8312yes—
521#95C22×D8312yes—
522#95C22×D8314yes—
523#95C22×D8314yes—
524C24C23×D8311yescharacteristic
525C2×Q8—838no—
526C2×Q8—838no—
527C2×Q8—838no—
528C2×Q8—838no—
529C2×Q8—1664no—
530C2×Q8—1664no—
531C2×Q8—1664no—
532C2×Q8—1664no—
533C2×Q8—16664no—
534C2×Q8—1664no—
535C2×Q8—1664no—
536C2×Q8—1664no—
537C2×Q8—1664no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—834no—
542C22×C4—834no—
543C22×C4—834no—
544C22×C4—831no—
545C22×C4—831no—
546C22×C4—831no—
547C22×C4—834no—
548C22×C4—838no—
549C22×C4—831no—
550C22×C4—832no—
551C22×C4—832no—
552C22×C4—832no—
553C22×C4—832no—
554C22×C4—834no—
555C22×C4—1664no—
556C22×C4—1664no—
557C22×C4—1664no—
558C22×C4C2×C4×D8314yes—
559C22×C4C2×C4×D8318yes—
560C22×C4C23×D8312yes—
561C22×C4C23×D8314yes—
562C22×C4C23×D8311yescharacteristic
563C22×C4C23×D8312yes—
564C22×C4C23×D8312yes—
565C22×C4C23×D8312yes—
566C22×C4C23×D8311yescharacteristic
567C4⋊C4—28no—
568C4⋊C4—24no—
569C4⋊C4—838no—
570C4⋊C4—838no—
571C4⋊C4—838no—
572C4⋊C4—838no—
573C4⋊C4—838no—
574C4⋊C4—834no—
575C4⋊C4—834no—
576C4⋊C4—838no—
577C4⋊C4—1668no—
578C4⋊C4—1668no—
579C4⋊C4—1668no—
580C4⋊C4—1664no—
581C4⋊C4—1668no—
582C4⋊C4—1668no—
583C4⋊C4—1664no—
584C4⋊C4C2×C4×D8318yes—
585C4⋊C4C2×C4×D8314yes—
586C4⋊C4C2×C4×D8314yes—
587C22⋊C4—24no—
588C22⋊C4—22no—
589C22⋊C4—834no—
590C22⋊C4—1664no—
591C22⋊C4—1662no—
592C22⋊C4D4×D8314yes—
593C42—28no—
594C42—24no—
595C42—834no—
596C42—834no—
597C42—834no—
598C42—834no—
599C42—838no—
600C42—1668no—
601C42—1668no—
602C42—1668no—
603C42—1664no—
604C42—1664no—
605C42—1664no—
606C42—1668no—
607C42—1664no—
608C23—22no—
609C23—22no—
610C23C22×C4×D8312yes—
611C23C2×D4×D8312yes—
612C23#41×D8312yes—
613C23C24×D8311yescharacteristic
614Q8—16616no—
615Q8—16616no—
616Q8—16616no—
617Q8—16616no—
618C2×C4—216no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—28no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—8316no—
634C2×C4—832no—
635C2×C4—832no—
636C2×C4—832no—
637C2×C4—832no—
638C2×C4—832no—
639C2×C4—832no—
640C2×C4—832no—
641C2×C4—834no—
642C2×C4—832no—
643C2×C4—834no—
644C2×C4—834no—
645C2×C4—834no—
646C2×C4—1664no—
647C2×C4—1662no—
648C2×C4—1662no—
649C2×C4—1664no—
650C2×C4—1662no—
651C2×C4—1664no—
652C2×C4—1668no—
653C2×C4—16616no—
654C2×C4—1662no—
655C2×C4—1662no—
656C2×C4—1662no—
657C2×C4—1662no—
658C2×C4—1662no—
659C2×C4—1662no—
660C2×C4—1662no—
661C2×C4C22×C4×D8312yes—
662C2×C4C22×C4×D8314yes—
663C2×C4C22×C4×D8314yes—
664C2×C4C22×C4×D8312yes—
665C2×C4C2×D4×D8314yes—
666C2×C4#1458183914yes—
667C22—22no—
668C22—22no—
669C22—24no—
670C22—24no—
671C22C4×D4×D8314yes—
672C22C23×C4×D8311yescharacteristic
673C22C22×D4×D8311yescharacteristic
674C22C2×#41×D8311yescharacteristic
675C222−1+4×D8312yes—
676C22C2×#1458183912yes—
677C4—24no—
678C4—24no—
679C4—22no—
680C4—24no—
681C4—44no—
682C4—42no—
683C4—3324no—
684C4—3322no—
685C4—834no—
686C4—834no—
687C4—834no—
688C4—1664no—
689C4—1664no—
690C4—1662no—
691C4—1664no—
692C4#1912817814yescomplemented
693C2—24no—
694C2C2×C4×D4×D8311yescharacteristic
695C2#519×D8311yescharacteristic
696C2C2×#1912817811yescharacteristic
697C2#2492124212yes—
698C2#2492134112yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2344C2
socle, cosocleC23×C83C25
prime radicalC24×C83C24
hypercenter#2344D83
hypocenterC83#34209
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #24910522C2semidirect
4. #24910518C2semidirect
5. #24910516C2semidirect
11. #24910178C2semidirect
13. #24910034C2semidirect
14. C4×#14581791C2semidirect
19. C2×#14581791C4semidirect
333. C4×C83#519semidirect
342. Dic83#519semidirect
367. C83#34209semidirect
692. C4#19128178semidirect

Maximal subgroups

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

subgroupindex
C22×#145817912
C2×#191281782
#249105222
#249105182
#249105162
#249103342
#249103332
#249103322
#249103302
#249103272
#249101782
#249100482
#249100342
C4×#145817912
#249098652
C4×#145817482
C83×#23442
#3420983