Finite Group Databasebeta

← #11044209

Subgroups — #11044209

Order 768.

1674 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2671C211yesmaximal, characteristic
2#82863C211yesmaximal, characteristic, complemented
3#82857C211yesmaximal, characteristic, complemented
4#82698C211yesmaximal, characteristic, complemented
5#82690C211yesmaximal, characteristic, complemented
6#82656C211yesmaximal, characteristic, complemented
7#82643C211yesmaximal, characteristic, complemented
8#82635C211yesmaximal, characteristic, complemented
9#82635C211yesmaximal, characteristic, complemented
10#78040C211yesmaximal, characteristic, complemented
11#78033C211yesmaximal, characteristic, complemented
12#77880C211yesmaximal, characteristic, complemented
13#77817C211yesmaximal, characteristic, complemented
14#76993C211yesmaximal, characteristic, complemented
15#76988C211yesmaximal, characteristic, complemented
16#76957C211yesmaximal, characteristic, complemented
17#76956C211yesmaximal, characteristic, complemented
18#76954C211yesmaximal, characteristic, complemented
19#76937C211yesmaximal, characteristic, complemented
20#76733C211yesmaximal, characteristic, complemented
21#76696C211yesmaximal, characteristic, complemented
22#74831C211yesmaximal, characteristic, complemented
23#74802C211yesmaximal, characteristic, complemented
24#74680C211yesmaximal, characteristic, complemented
25#74657C211yesmaximal, characteristic, complemented
26#74555C211yesmaximal, characteristic, complemented
27#74483C211yesmaximal, characteristic, complemented
28#74466C211yesmaximal, characteristic, complemented
29#74392C211yesmaximal, characteristic, complemented
30#73960C211yesmaximal, characteristic, complemented
31#73863C211yesmaximal, characteristic, complemented
32#38416—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×#121C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×#936C2211yescharacteristic
38C2×D4×Dic3C2211yescharacteristic
39C2×#924C2211yescharacteristic
40C22×C4×Dic3C2211yescharacteristic
41C2×#889C2211yescharacteristic
42C2×#879C2211yescharacteristic
43C2×#878C2211yescharacteristic
44C2×#877C2211yescharacteristic
45C3×#399C2211yescharacteristic
46C3×#398C2211yescharacteristic
47C3×#394C2211yescharacteristic
48C3×#394C2211yescharacteristic
49C3×#394C2211yescharacteristic
50C3×#392C2211yescharacteristic
51C3×#386C2211yescharacteristic
52C3×#386C2211yescharacteristic
53C3×#385C2211yescharacteristic
54C3×#385C2211yescharacteristic
55C3×#380C2211yescharacteristic
56#5222C2211yescharacteristic
57#5222C2211yescharacteristic
58#5222C2211yescharacteristic
59#5222C2211yescharacteristic
60#5221C2211yescharacteristic
61#5221C2211yescharacteristic
62#5221C2211yescharacteristic
63#5221C2211yescharacteristic
64#5221C2211yescharacteristic
65#5220C2211yescharacteristic
66#5220C2211yescharacteristic
67#5220C2211yescharacteristic
68#5220C2211yescharacteristic
69#5220C2211yescharacteristic
70#5220C2211yescharacteristic
71#5220C2211yescharacteristic
72#5220C2211yescharacteristic
73#5220C2211yescharacteristic
74#5220C2211yescharacteristic
75#5220C2211yescharacteristic
76#5220C2211yescharacteristic
77#5220C2211yescharacteristic
78#5212C2211yescharacteristic
79#5212C2211yescharacteristic
80#5211C2211yescharacteristic
81#5211C2211yescharacteristic
82#5210C2211yescharacteristic
83#5210C2211yescharacteristic
84C4×#217C2211yescharacteristic
85C4×#217C2211yescharacteristic
86C4×#217C2211yescharacteristic
87C2×C3⋊#95C2211yescharacteristic
88#4986C2211yescharacteristic
89#4986C2211yescharacteristic
90#4986C2211yescharacteristic
91#4985C2211yescharacteristic
92#4985C2211yescharacteristic
93#4983C2211yescharacteristic
94#4982C2211yescharacteristic
95#4981C2211yescharacteristic
96#4980C2211yescharacteristic
97#4980C2211yescharacteristic
98#4980C2211yescharacteristic
99#4980C2211yescharacteristic
100#4978C2211yescharacteristic
101#4978C2211yescharacteristic
102#4978C2211yescharacteristic
103#4978C2211yescharacteristic
104#4977C2211yescharacteristic
105#4977C2211yescharacteristic
106#4977C2211yescharacteristic
107#4977C2211yescharacteristic
108#4976C2211yescharacteristic
109Dic3×C4⋊C4C2211yescharacteristic
110Dic3×C4⋊C4C2211yescharacteristic
111Dic3×C4⋊C4C2211yescharacteristic
112#4973C2211yescharacteristic
113#4973C2211yescharacteristic
114#4972C2211yescharacteristic
115#4953C2211yescharacteristic
116#4953C2211yescharacteristic
117#4953C2211yescharacteristic
118#4952C2211yescharacteristic
119#4952C2211yescharacteristic
120#4952C2211yescharacteristic
121#4952C2211yescharacteristic
122#4952C2211yescharacteristic
123#4951C2211yescharacteristic
124#4951C2211yescharacteristic
125#4951C2211yescharacteristic
126#4951C2211yescharacteristic
127#4951C2211yescharacteristic
128#4951C2211yescharacteristic
129#4950C2211yescharacteristic
130#4950C2211yescharacteristic
131#4949C2211yescharacteristic
132#4948C2211yescharacteristic
133#4948C2211yescharacteristic
134#4948C2211yescharacteristic
135#4947C2211yescharacteristic
136#4947C2211yescharacteristic
137#4947C2211yescharacteristic
138#4947C2211yescharacteristic
139#4946C2211yescharacteristic
140#4945C2211yescharacteristic
141#4945C2211yescharacteristic
142#4945C2211yescharacteristic
143#4945C2211yescharacteristic
144#4945C2211yescharacteristic
145#4945C2211yescharacteristic
146#4945C2211yescharacteristic
147#4944C2211yescharacteristic
148#4944C2211yescharacteristic
149#4944C2211yescharacteristic
150#4944C2211yescharacteristic
151#4944C2211yescharacteristic
152#4944C2211yescharacteristic
153#4943C2211yescharacteristic
154#4943C2211yescharacteristic
155#4943C2211yescharacteristic
156#4943C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158Dic3×C22⋊C4C2211yescharacteristic
159Dic3×C22⋊C4C2211yescharacteristic
160Dic3×C22⋊C4C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163Dic3×C22⋊C4C2211yescharacteristic
164C3⋊#401C2211yescharacteristic
165#4661C2211yescharacteristic
166#4660C2211yescharacteristic
167#4658C2211yescharacteristic
168#4656C2211yescharacteristic
169#4656C2211yescharacteristic
170#4655C2211yescharacteristic
171#4655C2211yescharacteristic
172#4655C2211yescharacteristic
173#4654C2211yescharacteristic
174#4654C2211yescharacteristic
175#4653C2211yescharacteristic
176#4653C2211yescharacteristic
177#4651C2211yescharacteristic
178#4651C2211yescharacteristic
179#4651C2211yescharacteristic
180#4651C2211yescharacteristic
181#4649C2211yescharacteristic
182#4648C2211yescharacteristic
183#4648C2211yescharacteristic
184#4648C2211yescharacteristic
185#4646C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2850—31no—
189#2764—31no—
190#2762—31no—
191#2749—31no—
192#2737—31no—
193#2692—31no—
194#2691—31no—
195#2690—31no—
196#2671D311yescharacteristic
197#2653—31no—
198#2649—31no—
199#2612—31no—
200#2610—31no—
201#2577—31no—
202#2576—31no—
203#2575—31no—
204#2572—31no—
205#2560—31no—
206#2558—31no—
207#2519—31no—
208#2516—31no—
209#2515—31no—
210#2488—31no—
211#2444—31no—
212#2420—31no—
213#2372—31no—
214#2343—31no—
215#2333—31no—
216#2333—31no—
217#2290—31no—
218#2283—31no—
219C22×C3×D4C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C22×Dic6C2311yescharacteristic
234C22×Dic6C2311yescharacteristic
235C3×#123—42no—
236C3×#121—24no—
237C3×#121—24no—
238C3×#121—42no—
239C2×C3×C4⋊C4C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#936—24no—
287D4×Dic3—24no—
288C2×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297#924—42no—
298C2×Dic3⋊C4C2311yescharacteristic
299C2×Dic3⋊C4C2311yescharacteristic
300C2×Dic3⋊C4C2311yescharacteristic
301C2×Dic3⋊C4C2311yescharacteristic
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×C4×Dic3—24no—
311C2×C4×Dic3C2311yescharacteristic
312C2×C4×Dic3C2311yescharacteristic
313C2×C4×Dic3C2311yescharacteristic
314C2×C4×Dic3C2311yescharacteristic
315C2×C4×Dic3C2311yescharacteristic
316C2×C4×Dic3C2311yescharacteristic
317C2×C4×Dic3C2311yescharacteristic
318C2×C4×Dic3C2311yescharacteristic
319C2×C4×Dic3C2311yescharacteristic
320C2×C4×Dic3C2311yescharacteristic
321C2×C4×Dic3C2311yescharacteristic
322C2×C4×Dic3C2311yescharacteristic
323C2×C4×Dic3C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326#889—42no—
327#879—42no—
328#878—42no—
329#877—24no—
330C3×#95C2311yescharacteristic
331C3×#95C2311yescharacteristic
332C3×#95C2311yescharacteristic
333C3×#95C2311yescharacteristic
334C3×#95C2311yescharacteristic
335C3×#95C2311yescharacteristic
336C3⋊#95C2311yescharacteristic
337C3⋊#95C2311yescharacteristic
338C3⋊#95C2311yescharacteristic
339C3⋊#95C2311yescharacteristic
340C3⋊#95C2311yescharacteristic
341C3⋊#95C2311yescharacteristic
342C3⋊#95C2311yescharacteristic
343C3⋊#95C2311yescharacteristic
344C3⋊#95C2311yescharacteristic
345C3⋊#95C2311yescharacteristic
346C3⋊#95C2311yescharacteristic
347C3⋊#95C2311yescharacteristic
348C3⋊#95C2311yescharacteristic
349C3⋊#95C2311yescharacteristic
350C3⋊#95C2311yescharacteristic
351C3⋊#95C2311yescharacteristic
352C3⋊#95C2311yescharacteristic
353C3⋊#95C2311yescharacteristic
354C3⋊#95C2311yescharacteristic
355C3⋊#95C2311yescharacteristic
356C3⋊#95C2311yescharacteristic
357C3⋊#95C2311yescharacteristic
358C3⋊#95C2311yescharacteristic
359C3⋊#95C2311yescharacteristic
360C3⋊#95C2311yescharacteristic
361C3⋊#95C2311yescharacteristic
362C3⋊#95C2311yescharacteristic
363C3⋊#95C2311yescharacteristic
364C3⋊#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C2×#126—31no—
387C2×#125—31no—
388C2×#124—31no—
389C2×#123C2×D311yescharacteristic
390C2×C22⋊Q8—31no—
391C2×C22⋊Q8—31no—
392C2×#121C2×D311yescharacteristic
393C2×#121C2×D311yescharacteristic
394C2×#121C2×D311yescharacteristic
395C2×C4×D4—31no—
396C2×#117—31no—
397C22×C42—31no—
398#401—31no—
399#400—31no—
400#400—31no—
401#400—31no—
402#400—31no—
403#400—31no—
404#400—31no—
405#400—31no—
406#399—31no—
407#399C2×D311yescharacteristic
408#398—31no—
409#398—31no—
410#398—31no—
411#398—31no—
412#398C2×D311yescharacteristic
413#397—31no—
414#397—31no—
415#397—31no—
416#397—31no—
417#397—31no—
418#397—31no—
419#397—31no—
420#397—31no—
421#396—31no—
422#396—31no—
423#396—31no—
424#395—31no—
425#395—31no—
426#394—31no—
427#394—31no—
428#394—31no—
429#394—31no—
430#394C2×D311yescharacteristic
431#394C2×D311yescharacteristic
432#394C2×D311yescharacteristic
433#393—31no—
434#393—31no—
435#393—31no—
436#393—31no—
437#392C2×D311yescharacteristic
438#391—31no—
439#391—31no—
440#391—31no—
441#391—31no—
442#391—31no—
443#390—31no—
444#390—31no—
445#390—31no—
446#390—31no—
447#390—31no—
448#389—31no—
449#389—31no—
450#388—31no—
451#388—31no—
452#388—31no—
453#388—31no—
454#388—31no—
455#388—31no—
456#388—31no—
457#388—31no—
458#388—31no—
459#388—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#387—31no—
470#387—31no—
471#387—31no—
472#387—31no—
473#387—31no—
474#387—31no—
475#387—31no—
476#387—31no—
477#387—31no—
478#387—31no—
479#387—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#386—31no—
485#386—31no—
486#386—31no—
487#386—31no—
488#386—31no—
489#386—31no—
490#386—31no—
491#386—31no—
492#386—31no—
493#386—31no—
494#386—31no—
495#386—31no—
496#386—31no—
497#386C2×D311yescharacteristic
498#386C2×D311yescharacteristic
499#385—31no—
500#385—31no—
501#385—31no—
502#385—31no—
503#385—31no—
504#385C2×D311yescharacteristic
505#385C2×D311yescharacteristic
506#383—31no—
507#383—31no—
508#383—31no—
509#383—31no—
510#382—31no—
511#382—31no—
512#382—31no—
513#382—31no—
514#381—31no—
515#381—31no—
516#381—31no—
517#381—31no—
518#381—31no—
519#381—31no—
520#380—31no—
521#380—31no—
522#380C2×D311yescharacteristic
523C4×C4⋊C4—31no—
524C4×C4⋊C4—31no—
525C4×C4⋊C4—31no—
526C4×C4⋊C4—31no—
527C4×C22⋊C4—31no—
528C4×C22⋊C4—31no—
529C4×C22⋊C4—31no—
530C4×C22⋊C4—31no—
531C4×C22⋊C4—31no—
532C4×C22⋊C4—31no—
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4—31no—
536C4×C22⋊C4—31no—
537#376—31no—
538#376—31no—
539#376—31no—
540C2×#95—31no—
541C24×C3C2411yescharacteristic
542C24×C3C2411yescharacteristic
543C24×C3C2411yescharacteristic
544C24×C3C2411yescharacteristic
545C2×C3×D4—22no—
546C2×C3×D4—22no—
547C2×C3×D4—22no—
548C2×C3×D4—22no—
549C2×C3×D4—22no—
550C2×C3×D4—41no—
551C2×C3×D4—41no—
552C2×C3×D4—41no—
553C2×C3×D4—41no—
554C2×C3×D4—41no—
555C2×C3×D4—41no—
556C2×C3×D4—41no—
557C2×C3×D4—41no—
558C2×C3×D4—41no—
559C2×C3×D4—41no—
560C2×C3×D4—41no—
561C2×C3×D4—41no—
562C2×C3×D4#4114yes—
563C22×C3×C4—22no—
564C22×C3×C4—22no—
565C22×C3×C4—22no—
566C22×C3×C4—22no—
567C22×C3×C4—41no—
568C22×C3×C4—41no—
569C22×C3×C4—41no—
570C22×C3×C4—41no—
571C22×C3×C4—41no—
572C22×C3×C4C2411yescharacteristic
573C22×C3×C4C2411yescharacteristic
574C22×C3×C4C2411yescharacteristic
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×Dic3—22no—
584C22×Dic3—22no—
585C22×Dic3—22no—
586C22×Dic3—22no—
587C22×Dic3—22no—
588C22×Dic3—41no—
589C22×Dic3—41no—
590C22×Dic3—41no—
591C22×Dic3—41no—
592C22×Dic3—41no—
593C22×Dic3—41no—
594C22×Dic3—41no—
595C22×Dic3—41no—
596C22×Dic3—41no—
597C22×Dic3—41no—
598C22×Dic3C2411yescharacteristic
599C22×Dic3C2411yescharacteristic
600C22×Dic3C2411yescharacteristic
601C22×Dic3C2411yescharacteristic
602C22×Dic3C2411yescharacteristic
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C2×Dic6—22no—
615C2×Dic6—41no—
616C2×Dic6—41no—
617C2×Dic6—41no—
618C2×Dic6—41no—
619C2×Dic6—41no—
620C3×C4⋊C4—22no—
621C3×C4⋊C4—22no—
622C3×C4⋊C4—22no—
623C3×C4⋊C4—41no—
624C3×C4⋊C4—41no—
625C3×C4⋊C4—41no—
626C3×C4⋊C4—41no—
627C3×C22⋊C4—22no—
628C3×C22⋊C4—22no—
629C3×C22⋊C4—22no—
630C3×C22⋊C4—22no—
631C3×C22⋊C4—22no—
632C3×C22⋊C4—22no—
633C3×C22⋊C4—22no—
634C3×C22⋊C4—22no—
635C3×C22⋊C4—41no—
636C3×C22⋊C4—41no—
637C3×C22⋊C4—41no—
638C3×C22⋊C4—41no—
639C3×C22⋊C4—41no—
640#217—22no—
641#217—22no—
642#217—22no—
643#217—22no—
644#217—22no—
645#217—22no—
646#217—22no—
647#217—41no—
648#217—41no—
649#217—41no—
650#217—41no—
651#217—41no—
652#217—41no—
653#217—41no—
654#217—41no—
655#217—41no—
656#217—41no—
657#217—41no—
658#217—41no—
659#217—41no—
660#217—41no—
661#217—41no—
662#217—41no—
663#217—41no—
664#217—41no—
665#217—41no—
666#217—41no—
667C4⋊Dic3—22no—
668C4⋊Dic3—22no—
669C4⋊Dic3—41no—
670C4⋊Dic3—41no—
671C4⋊Dic3—41no—
672C4⋊Dic3—41no—
673C4⋊Dic3—41no—
674C4⋊Dic3—41no—
675C4⋊Dic3—41no—
676Dic3⋊C4—22no—
677Dic3⋊C4—22no—
678Dic3⋊C4—22no—
679Dic3⋊C4—22no—
680Dic3⋊C4—22no—
681Dic3⋊C4—41no—
682Dic3⋊C4—41no—
683Dic3⋊C4—41no—
684Dic3⋊C4—41no—
685Dic3⋊C4—41no—
686Dic3⋊C4—41no—
687Dic3⋊C4—41no—
688C4×Dic3—22no—
689C4×Dic3—22no—
690C4×Dic3—22no—
691C4×Dic3—22no—
692C4×Dic3—22no—
693C4×Dic3—41no—
694C4×Dic3—41no—
695C4×Dic3—41no—
696C4×Dic3—41no—
697C4×Dic3—41no—
698C4×Dic3—41no—
699C4×Dic3—41no—
700C4×Dic3—41no—
701C4×Dic3—41no—
702C4×Dic3#4114yes—
703C22×Q8—31no—
704C22×Q8—31no—
705C22×D4C22×D311yescharacteristic
706C22×D4C22×D311yescharacteristic
707C22×D4C22×D311yescharacteristic
708C22×D4C22×D311yescharacteristic
709C22×D4C22×D311yescharacteristic
710C22×D4C22×D311yescharacteristic
711C23×C4—31no—
712C23×C4—31no—
713C23×C4—31no—
714C23×C4—31no—
715C23×C4—31no—
716C23×C4C22×D311yescharacteristic
717C23×C4C22×D311yescharacteristic
718C23×C4C22×D311yescharacteristic
719#126—122no—
720#125—122no—
721#124—64no—
722#123—42no—
723C22⋊Q8—122no—
724C22⋊Q8—122no—
725#121—24no—
726#121—24no—
727#121—42no—
728C4×D4—64no—
729#117—64no—
730C2×C4⋊C4—31no—
731C2×C4⋊C4—31no—
732C2×C4⋊C4—31no—
733C2×C4⋊C4—31no—
734C2×C4⋊C4—31no—
735C2×C4⋊C4—31no—
736C2×C4⋊C4—31no—
737C2×C4⋊C4—31no—
738C2×C4⋊C4—31no—
739C2×C4⋊C4—31no—
740C2×C4⋊C4—31no—
741C2×C4⋊C4—31no—
742C2×C4⋊C4—31no—
743C2×C4⋊C4—31no—
744C2×C4⋊C4—31no—
745C2×C4⋊C4—31no—
746C2×C4⋊C4—31no—
747C2×C4⋊C4—31no—
748C2×C4⋊C4—31no—
749C2×C4⋊C4—31no—
750C2×C4⋊C4—31no—
751C2×C4⋊C4C22×D311yescharacteristic
752C2×C4⋊C4C22×D311yescharacteristic
753C2×C4⋊C4C22×D311yescharacteristic
754C2×C4⋊C4C22×D311yescharacteristic
755C2×C4⋊C4C22×D311yescharacteristic
756C2×C4⋊C4C22×D311yescharacteristic
757C2×C4⋊C4C22×D311yescharacteristic
758C2×C22⋊C4—31no—
759C2×C22⋊C4—31no—
760C2×C22⋊C4—31no—
761C2×C22⋊C4—31no—
762C2×C22⋊C4—31no—
763C2×C22⋊C4—31no—
764C2×C22⋊C4—31no—
765C2×C22⋊C4—31no—
766C2×C22⋊C4—31no—
767C2×C22⋊C4—31no—
768C2×C22⋊C4—31no—
769C2×C22⋊C4—31no—
770C2×C22⋊C4—31no—
771C2×C22⋊C4—31no—
772C2×C22⋊C4—31no—
773C2×C22⋊C4—31no—
774C2×C22⋊C4—31no—
775C2×C22⋊C4—31no—
776C2×C22⋊C4—31no—
777C2×C22⋊C4—31no—
778C2×C22⋊C4—31no—
779C2×C22⋊C4—31no—
780C2×C22⋊C4—31no—
781C2×C22⋊C4—31no—
782C2×C22⋊C4—31no—
783C2×C22⋊C4—31no—
784C2×C22⋊C4—31no—
785C2×C22⋊C4C22×D311yescharacteristic
786C2×C22⋊C4C22×D311yescharacteristic
787C2×C22⋊C4C22×D311yescharacteristic
788C2×C22⋊C4C22×D311yescharacteristic
789C2×C22⋊C4C22×D311yescharacteristic
790C2×C22⋊C4C22×D311yescharacteristic
791C2×C22⋊C4C22×D311yescharacteristic
792C2×C22⋊C4C22×D311yescharacteristic
793C2×C22⋊C4C22×D311yescharacteristic
794C2×C22⋊C4C22×D311yescharacteristic
795C2×C22⋊C4C22×D311yescharacteristic
796C2×C22⋊C4C22×D311yescharacteristic
797C2×C22⋊C4C22×D311yescharacteristic
798C2×C42—31no—
799C2×C42—31no—
800C2×C42—31no—
801C2×C42—31no—
802C2×C42—31no—
803C2×C42—31no—
804C2×C42—31no—
805C2×C42—31no—
806C2×C42—31no—
807C2×C42—31no—
808C2×C42—31no—
809C2×C42—31no—
810C2×C42—31no—
811C2×C42—31no—
812C2×C42—31no—
813C2×C42—64no—
814#95—31no—
815#95—31no—
816#95—31no—
817#95—31no—
818#95—31no—
819#95—31no—
820#95—31no—
821#95—31no—
822#95—31no—
823#95—31no—
824#95—31no—
825#95—31no—
826#95—31no—
827#95—31no—
828#95—31no—
829#95—31no—
830#95—31no—
831#95—31no—
832#95—31no—
833#95—31no—
834#95—31no—
835#95—31no—
836#95—31no—
837#95—31no—
838#95—31no—
839#95—31no—
840#95—31no—
841#95—31no—
842#95—31no—
843#95—31no—
844#95—31no—
845#95—31no—
846#95—31no—
847#95—31no—
848#95—31no—
849#95—31no—
850#95—31no—
851#95—31no—
852#95—31no—
853#95—31no—
854#95—31no—
855#95—31no—
856#95—31no—
857#95—31no—
858#95—31no—
859#95—31no—
860#95—31no—
861#95—31no—
862#95—31no—
863#95—31no—
864#95C22×D311yescharacteristic
865#95C22×D311yescharacteristic
866#95C22×D311yescharacteristic
867#95C22×D311yescharacteristic
868#95C22×D311yescharacteristic
869#95C22×D311yescharacteristic
870C23×C3—21no—
871C23×C3—21no—
872C23×C3—21no—
873C23×C3—21no—
874C23×C3—21no—
875C23×C3—21no—
876C23×C3—21no—
877C23×C3—21no—
878C23×C3—21no—
879C23×C3—21no—
880C23×C3—21no—
881C23×C3—21no—
882C23×C3—21no—
883C23×C3—21no—
884C23×C3—21no—
885C23×C3—21no—
886C23×C3—21no—
887C23×C3—21no—
888C23×C3—21no—
889C23×C3—21no—
890C23×C3—21no—
891C23×C3—21no—
892C23×C3—21no—
893C23×C3—21no—
894C23×C3—21no—
895C23×C3—21no—
896C23×C3C2×#4112yes—
897C23×C3C2×#4112yes—
898C23×C3C2511yescharacteristic
899C3×D4—44no—
900C3×D4—82no—
901C3×D4—82no—
902C3×D4—82no—
903C3×D4—82no—
904C3×D4—82no—
905C2×C3×C4—21no—
906C2×C3×C4—21no—
907C2×C3×C4—21no—
908C2×C3×C4—21no—
909C2×C3×C4—21no—
910C2×C3×C4—21no—
911C2×C3×C4—21no—
912C2×C3×C4—21no—
913C2×C3×C4—21no—
914C2×C3×C4—21no—
915C2×C3×C4—21no—
916C2×C3×C4—21no—
917C2×C3×C4—21no—
918C2×C3×C4—21no—
919C2×C3×C4—21no—
920C2×C3×C4—21no—
921C2×C3×C4—21no—
922C2×C3×C4—21no—
923C2×C3×C4—21no—
924C2×C3×C4—21no—
925C2×C3×C4—21no—
926C2×C3×C4—21no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—21no—
930C2×C3×C4—21no—
931C2×C3×C4—21no—
932C2×C3×C4—21no—
933C2×C3×C4—21no—
934C2×C3×C4—21no—
935C2×C3×C4—44no—
936C2×C3×C4—82no—
937C2×C3×C4—82no—
938C2×C3×C4C2×#4112yes—
939C2×C3×C4C2×#4112yes—
940C2×C3×C4H(5,𝔽2)12yes—
941C2×Dic3—21no—
942C2×Dic3—21no—
943C2×Dic3—21no—
944C2×Dic3—21no—
945C2×Dic3—21no—
946C2×Dic3—21no—
947C2×Dic3—21no—
948C2×Dic3—21no—
949C2×Dic3—21no—
950C2×Dic3—21no—
951C2×Dic3—21no—
952C2×Dic3—21no—
953C2×Dic3—21no—
954C2×Dic3—21no—
955C2×Dic3—21no—
956C2×Dic3—21no—
957C2×Dic3—21no—
958C2×Dic3—21no—
959C2×Dic3—21no—
960C2×Dic3—21no—
961C2×Dic3—21no—
962C2×Dic3—21no—
963C2×Dic3—21no—
964C2×Dic3—21no—
965C2×Dic3—21no—
966C2×Dic3—21no—
967C2×Dic3—21no—
968C2×Dic3—21no—
969C2×Dic3—21no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—21no—
974C2×Dic3—21no—
975C2×Dic3—21no—
976C2×Dic3—21no—
977C2×Dic3—21no—
978C2×Dic3—21no—
979C2×Dic3—21no—
980C2×Dic3—21no—
981C2×Dic3—21no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—21no—
987C2×Dic3—44no—
988C2×Dic3—44no—
989C2×Dic3—44no—
990C2×Dic3—82no—
991C2×Dic3—82no—
992C2×Dic3C2×#4112yes—
993C2×Dic3C2×#4112yes—
994Dic6—82no—
995Dic6—82no—
996C24C23×D311yescharacteristic
997C24C23×D311yescharacteristic
998C24C23×D311yescharacteristic
999C24C23×D311yescharacteristic
1000C2×Q8—62no—
1001C2×Q8—121no—
1002C2×Q8—121no—
1003C2×Q8—121no—
1004C2×Q8—121no—
1005C2×Q8—121no—
1006C2×D4—22no—
1007C2×D4—22no—
1008C2×D4—22no—
1009C2×D4—22no—
1010C2×D4—22no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C2×D4#23714yes—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—31no—
1029C22×C4—31no—
1030C22×C4—31no—
1031C22×C4—31no—
1032C22×C4—31no—
1033C22×C4—31no—
1034C22×C4—31no—
1035C22×C4—31no—
1036C22×C4—31no—
1037C22×C4—31no—
1038C22×C4—31no—
1039C22×C4—31no—
1040C22×C4—31no—
1041C22×C4—31no—
1042C22×C4—31no—
1043C22×C4—31no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—62no—
1050C22×C4—62no—
1051C22×C4—62no—
1052C22×C4—62no—
1053C22×C4—62no—
1054C22×C4—121no—
1055C22×C4—121no—
1056C22×C4—121no—
1057C22×C4—121no—
1058C22×C4—121no—
1059C22×C4—121no—
1060C22×C4—121no—
1061C22×C4—121no—
1062C22×C4—121no—
1063C22×C4—121no—
1064C22×C4C23×D311yescharacteristic
1065C22×C4C23×D311yescharacteristic
1066C22×C4C23×D311yescharacteristic
1067C22×C4C23×D311yescharacteristic
1068C22×C4C23×D311yescharacteristic
1069C22×C4C23×D311yescharacteristic
1070C22×C4C23×D311yescharacteristic
1071C22×C4C23×D311yescharacteristic
1072C22×C4C23×D311yescharacteristic
1073C22×C4C23×D311yescharacteristic
1074C22×C4C23×D311yescharacteristic
1075C4⋊C4—22no—
1076C4⋊C4—22no—
1077C4⋊C4—22no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4—41no—
1081C4⋊C4—41no—
1082C4⋊C4—62no—
1083C4⋊C4—62no—
1084C4⋊C4—62no—
1085C4⋊C4—62no—
1086C4⋊C4—62no—
1087C4⋊C4—62no—
1088C4⋊C4—62no—
1089C4⋊C4—121no—
1090C4⋊C4—121no—
1091C4⋊C4—121no—
1092C4⋊C4—121no—
1093C4⋊C4—121no—
1094C4⋊C4—121no—
1095C4⋊C4—121no—
1096C4⋊C4—121no—
1097C4⋊C4—121no—
1098C4⋊C4—121no—
1099C4⋊C4—121no—
1100C4⋊C4—121no—
1101C4⋊C4—121no—
1102C4⋊C4—121no—
1103C22⋊C4—22no—
1104C22⋊C4—22no—
1105C22⋊C4—22no—
1106C22⋊C4—22no—
1107C22⋊C4—22no—
1108C22⋊C4—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—62no—
1117C22⋊C4—62no—
1118C22⋊C4—62no—
1119C22⋊C4—62no—
1120C22⋊C4—62no—
1121C22⋊C4—62no—
1122C22⋊C4—62no—
1123C22⋊C4—121no—
1124C22⋊C4—121no—
1125C22⋊C4—121no—
1126C22⋊C4—121no—
1127C22⋊C4—121no—
1128C22⋊C4—121no—
1129C22⋊C4—121no—
1130C22⋊C4—121no—
1131C22⋊C4—121no—
1132C22⋊C4—121no—
1133C22⋊C4—121no—
1134C22⋊C4—121no—
1135C22⋊C4—121no—
1136C22⋊C4—121no—
1137C22⋊C4—121no—
1138C22⋊C4—121no—
1139C22⋊C4—121no—
1140C22⋊C4—121no—
1141C22⋊C4—121no—
1142C22⋊C4—121no—
1143C42—34no—
1144C42—62no—
1145C42—62no—
1146C42—62no—
1147C42—62no—
1148C42—62no—
1149C42—121no—
1150C42—121no—
1151C42—121no—
1152C42—121no—
1153C42—121no—
1154C42—121no—
1155C42—121no—
1156C42—121no—
1157C42—121no—
1158C22×C3—22no—
1159C22×C3—22no—
1160C22×C3—22no—
1161C22×C3—22no—
1162C22×C3—22no—
1163C22×C3—22no—
1164C22×C3—41no—
1165C22×C3—41no—
1166C22×C3—41no—
1167C22×C3—41no—
1168C22×C3—41no—
1169C22×C3—41no—
1170C22×C3—41no—
1171C22×C3—41no—
1172C22×C3—41no—
1173C22×C3—41no—
1174C22×C3—41no—
1175C22×C3—41no—
1176C22×C3—41no—
1177C22×C3—41no—
1178C22×C3—41no—
1179C22×C3—41no—
1180C22×C3—41no—
1181C22×C3—41no—
1182C22×C3—41no—
1183C22×C3—41no—
1184C22×C3—41no—
1185C22×C3—41no—
1186C22×C3C22×#4111yescharacteristic
1187C22×C3C22×#4111yescharacteristic
1188C22×C3C2×H(5,𝔽2)11yescharacteristic
1189C22×C3#58511yescharacteristic
1190C22×C3#58511yescharacteristic
1191C22×C3#58511yescharacteristic
1192C22×C3#58511yescharacteristic
1193C3×C4—22no—
1194C3×C4—22no—
1195C3×C4—22no—
1196C3×C4—41no—
1197C3×C4—41no—
1198C3×C4—41no—
1199C3×C4—41no—
1200C3×C4—41no—
1201C3×C4—41no—
1202C3×C4—41no—
1203C3×C4—41no—
1204Dic3—22no—
1205Dic3—22no—
1206Dic3—41no—
1207Dic3—41no—
1208Dic3—41no—
1209Dic3—41no—
1210Dic3—41no—
1211Dic3—41no—
1212Dic3—41no—
1213Dic3—41no—
1214Dic3—41no—
1215Dic3—41no—
1216Dic3—41no—
1217Dic3—41no—
1218Dic3—41no—
1219Dic3—41no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23C2×#23712yes—
1247C23C2×#23712yes—
1248C23C24×D311yescharacteristic
1249Q8—242no—
1250Q8—242no—
1251D4—44no—
1252D4—82no—
1253D4—82no—
1254D4—82no—
1255D4—82no—
1256D4—82no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—32no—
1288C2×C4—32no—
1289C2×C4—44no—
1290C2×C4—61no—
1291C2×C4—61no—
1292C2×C4—61no—
1293C2×C4—61no—
1294C2×C4—61no—
1295C2×C4—61no—
1296C2×C4—61no—
1297C2×C4—61no—
1298C2×C4—61no—
1299C2×C4—61no—
1300C2×C4—61no—
1301C2×C4—61no—
1302C2×C4—61no—
1303C2×C4—61no—
1304C2×C4—61no—
1305C2×C4—61no—
1306C2×C4—61no—
1307C2×C4—61no—
1308C2×C4—61no—
1309C2×C4—61no—
1310C2×C4—61no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—61no—
1321C2×C4—61no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—61no—
1332C2×C4—61no—
1333C2×C4—61no—
1334C2×C4—61no—
1335C2×C4—61no—
1336C2×C4—82no—
1337C2×C4—82no—
1338C2×C4—124no—
1339C2×C4—124no—
1340C2×C4—124no—
1341C2×C4—242no—
1342C2×C4—242no—
1343C2×C4C2×#23712yes—
1344C2×C4#100412yes—
1345C2×C4D3×#4112yes—
1346C2×C3—42no—
1347C2×C3—42no—
1348C2×C3—81no—
1349C2×C3—81no—
1350C2×C3#345511yescharacteristic
1351C2×C3#347511yescharacteristic
1352C2×C3#349111yescharacteristic
1353C2×C3#349411yescharacteristic
1354C2×C3#351411yescharacteristic
1355C2×C3#355111yescharacteristic
1356C2×C3#356611yescharacteristic
1357C22—22no—
1358C22—22no—
1359C22—22no—
1360C22—22no—
1361C22—22no—
1362C22—22no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22C22×#23711yescharacteristic
1386C22C2×#100411yescharacteristic
1387C22C2×D3×#4111yescharacteristic
1388C22#596611yescharacteristic
1389C22#596611yescharacteristic
1390C22#596611yescharacteristic
1391C22#596811yescharacteristic
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—62no—
1404C4—62no—
1405C4—121no—
1406C4—121no—
1407C4—121no—
1408C4—121no—
1409C4—121no—
1410C4—121no—
1411C4—121no—
1412C4—121no—
1413C4—121no—
1414C4—121no—
1415C4—121no—
1416C4—121no—
1417C4—121no—
1418C4—121no—
1419C3#3841611yescharacteristic, complemented, Sylow
1420C2—42no—
1421C2—42no—
1422C2—81no—
1423C2—81no—
1424C2#8629711yescharacteristic
1425C2#8637511yescharacteristic
1426C2#8646711yescharacteristic
1427C2#8661011yescharacteristic
1428C2#8663111yescharacteristic
1429C2#8667511yescharacteristic
1430C2#8710511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
Fitting, prime radicalC3×#2671C2
hypercenter#2671D3
hypocenterC3#38416
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
2. #82863C2semidirect
3. #82857C2semidirect
4. #82698C2semidirect
5. #82690C2semidirect
6. #82656C2semidirect
7. #82643C2semidirect
8. #82635C2semidirect
9. #82635C2semidirect
10. #78040C2semidirect
11. #78033C2semidirect
12. #77880C2semidirect
13. #77817C2semidirect
14. #76993C2semidirect
15. #76988C2semidirect
16. #76957C2semidirect
17. #76956C2semidirect
18. #76954C2semidirect
19. #76937C2semidirect
20. #76733C2semidirect
21. #76696C2semidirect
22. #74831C2semidirect
23. #74802C2semidirect
24. #74680C2semidirect
25. #74657C2semidirect
26. #74555C2semidirect
27. #74483C2semidirect
28. #74466C2semidirect
29. #74392C2semidirect
30. #73960C2semidirect
31. #73863C2semidirect
1419. C3#38416semidirect

Maximal subgroups

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

subgroupindex
C3×#26712
#828632
#828572
#826982
#826902
#826562
#826432
#826352
#780402
#780332
#778802
#778172
#769932
#769882
#769572
#769562
#769542
#769372
#767332
#766962
#748312
#748022
#746802
#746572
#745552
#744832
#744662
#743922
#739602
#738632
#384163