Finite Group Databasebeta

← #11044150

Subgroups — #11044150

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×#2425C211yesmaximal, characteristic, complemented
2#82882C211yesmaximal, characteristic, complemented
3#82874C211yesmaximal, characteristic, complemented
4#82862C211yesmaximal, characteristic, complemented
5#82837C211yesmaximal, characteristic, complemented
6#82689C211yesmaximal, characteristic
7#82673C211yesmaximal, characteristic, complemented
8#82412C211yesmaximal, characteristic, complemented
9#82318C211yesmaximal, characteristic, complemented
10#77880C211yesmaximal, characteristic, complemented
11#77832C211yesmaximal, characteristic, complemented
12#77570C211yesmaximal, characteristic, complemented
13#77525C211yesmaximal, characteristic, complemented
14#77381C211yesmaximal, characteristic, complemented
15#77340C211yesmaximal, characteristic, complemented
16#77008C211yesmaximal, characteristic, complemented
17#76957C211yesmaximal, characteristic, complemented
18#76235C211yesmaximal, characteristic, complemented
19#76101C211yesmaximal, characteristic, complemented
20#75571C211yesmaximal, characteristic, complemented
21#75483C211yesmaximal, characteristic, complemented
22#74869C211yesmaximal, characteristic, complemented
23#74780C211yesmaximal, characteristic, complemented
24#74767C211yesmaximal, characteristic, complemented
25#74764C211yesmaximal, characteristic, complemented
26#74554C211yesmaximal, characteristic, complemented
27#74390C211yesmaximal, characteristic, complemented
28#73929C211yesmaximal, characteristic, complemented
29#73863C211yesmaximal, characteristic, complemented
30#73356C211yesmaximal, characteristic, complemented
31#73335C211yesmaximal, characteristic, complemented
32#38414—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#926C2211yescharacteristic
39C22×C4×Dic3C2211yescharacteristic
40C2×#885C2211yescharacteristic
41C2×#885C2211yescharacteristic
42C2×#883C2211yescharacteristic
43C2×#879C2211yescharacteristic
44C2×#878C2211yescharacteristic
45C3×#398C2211yescharacteristic
46C3×#397C2211yescharacteristic
47C3×#396C2211yescharacteristic
48C3×#394C2211yescharacteristic
49C3×#389C2211yescharacteristic
50C3×#388C2211yescharacteristic
51C3×#386C2211yescharacteristic
52C3×#386C2211yescharacteristic
53C3×#385C2211yescharacteristic
54C3×#380C2211yescharacteristic
55C2×C3×#95C2211yescharacteristic
56#5223C2211yescharacteristic
57#5223C2211yescharacteristic
58#5222C2211yescharacteristic
59#5222C2211yescharacteristic
60#5222C2211yescharacteristic
61#5221C2211yescharacteristic
62#5220C2211yescharacteristic
63#5220C2211yescharacteristic
64#5220C2211yescharacteristic
65#5220C2211yescharacteristic
66#5220C2211yescharacteristic
67#5213C2211yescharacteristic
68#5213C2211yescharacteristic
69#5213C2211yescharacteristic
70#5213C2211yescharacteristic
71#5212C2211yescharacteristic
72#5212C2211yescharacteristic
73#5211C2211yescharacteristic
74#5210C2211yescharacteristic
75#5210C2211yescharacteristic
76#5210C2211yescharacteristic
77C4×#217C2211yescharacteristic
78C4×#217C2211yescharacteristic
79C4×#217C2211yescharacteristic
80C4×#217C2211yescharacteristic
81#4994C2211yescharacteristic
82#4993C2211yescharacteristic
83#4992C2211yescharacteristic
84#4992C2211yescharacteristic
85#4990C2211yescharacteristic
86#4990C2211yescharacteristic
87#4987C2211yescharacteristic
88#4987C2211yescharacteristic
89#4986C2211yescharacteristic
90#4986C2211yescharacteristic
91#4986C2211yescharacteristic
92#4985C2211yescharacteristic
93#4984C2211yescharacteristic
94#4983C2211yescharacteristic
95#4983C2211yescharacteristic
96#4982C2211yescharacteristic
97#4980C2211yescharacteristic
98#4980C2211yescharacteristic
99#4980C2211yescharacteristic
100#4980C2211yescharacteristic
101#4979C2211yescharacteristic
102#4979C2211yescharacteristic
103#4978C2211yescharacteristic
104#4978C2211yescharacteristic
105#4977C2211yescharacteristic
106#4977C2211yescharacteristic
107#4977C2211yescharacteristic
108#4976C2211yescharacteristic
109Dic3×C4⋊C4C2211yescharacteristic
110Dic3×C4⋊C4C2211yescharacteristic
111#4973C2211yescharacteristic
112#4973C2211yescharacteristic
113#4961C2211yescharacteristic
114#4959C2211yescharacteristic
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4953C2211yescharacteristic
122#4952C2211yescharacteristic
123#4952C2211yescharacteristic
124#4952C2211yescharacteristic
125#4951C2211yescharacteristic
126#4951C2211yescharacteristic
127#4951C2211yescharacteristic
128#4951C2211yescharacteristic
129#4951C2211yescharacteristic
130#4951C2211yescharacteristic
131#4951C2211yescharacteristic
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic
135#4948C2211yescharacteristic
136#4947C2211yescharacteristic
137#4947C2211yescharacteristic
138#4947C2211yescharacteristic
139#4945C2211yescharacteristic
140#4945C2211yescharacteristic
141#4945C2211yescharacteristic
142#4944C2211yescharacteristic
143#4944C2211yescharacteristic
144#4944C2211yescharacteristic
145#4943C2211yescharacteristic
146#4943C2211yescharacteristic
147#4943C2211yescharacteristic
148Dic3×C22⋊C4C2211yescharacteristic
149Dic3×C22⋊C4C2211yescharacteristic
150Dic3×C22⋊C4C2211yescharacteristic
151Dic3×C22⋊C4C2211yescharacteristic
152C4×(C2×D3)⋊C4C2211yescharacteristic
153C4×C4⋊Dic3C2211yescharacteristic
154#4933C2211yescharacteristic
155#4932C2211yescharacteristic
156#4675C2211yescharacteristic
157#4674C2211yescharacteristic
158#4670C2211yescharacteristic
159#4670C2211yescharacteristic
160#4670C2211yescharacteristic
161#4669C2211yescharacteristic
162#4669C2211yescharacteristic
163#4666C2211yescharacteristic
164C3⋊#401C2211yescharacteristic
165#4660C2211yescharacteristic
166#4660C2211yescharacteristic
167#4660C2211yescharacteristic
168#4658C2211yescharacteristic
169#4656C2211yescharacteristic
170#4654C2211yescharacteristic
171#4654C2211yescharacteristic
172#4654C2211yescharacteristic
173#4653C2211yescharacteristic
174#4653C2211yescharacteristic
175#4653C2211yescharacteristic
176#4651C2211yescharacteristic
177#4651C2211yescharacteristic
178#4651C2211yescharacteristic
179#4651C2211yescharacteristic
180#4650C2211yescharacteristic
181#4649C2211yescharacteristic
182#4648C2211yescharacteristic
183#4648C2211yescharacteristic
184#4647C2211yescharacteristic
185#4646C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2850—31no—
189#2763—31no—
190#2762—31no—
191#2761—31no—
192#2706—31no—
193#2689—31no—
194#2688—31no—
195#2687—31no—
196#2686—31no—
197#2654—31no—
198#2650—31no—
199#2612—31no—
200#2610—31no—
201#2578—31no—
202#2578—31no—
203#2576—31no—
204#2572—31no—
205#2559—31no—
206#2557—31no—
207#2525—31no—
208#2521—31no—
209#2510—31no—
210#2495—31no—
211#2457—31no—
212#2425D311yescharacteristic, complemented
213#2372—31no—
214#2343—31no—
215#2335—31no—
216#2335—31no—
217#2290—31no—
218#2283—31no—
219C22×C3×D4C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C22×Dic6C2311yescharacteristic
234C22×Dic6C2311yescharacteristic
235C3×#123—24no—
236C3×#123—42no—
237C3×#121—42no—
238C3×C4×D4—24no—
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×C4⋊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×C42C2311yescharacteristic
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
277#939—42no—
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289#926—24no—
290C2×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297C2×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
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
325#885—24no—
326#885—42no—
327#883—24no—
328#879—42no—
329#878—42no—
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×#124—31no—
388C2×#124—31no—
389C2×#123—31no—
390C2×#123C2×D311yescharacteristic
391C2×#123C2×D311yescharacteristic
392C2×C22⋊Q8—31no—
393C2×#121—31no—
394C2×#121C2×D311yescharacteristic
395C2×C4×D4C2×D311yescharacteristic
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#400—31no—
407#399—31no—
408#398—31no—
409#398—31no—
410#398—31no—
411#398C2×D311yescharacteristic
412#397—31no—
413#397—31no—
414#397—31no—
415#397—31no—
416#397—31no—
417#397—31no—
418#397—31no—
419#397—31no—
420#397C2×D311yescharacteristic
421#396—31no—
422#396—31no—
423#396C2×D311yescharacteristic
424#395—31no—
425#395—31no—
426#395—31no—
427#394—31no—
428#394—31no—
429#394—31no—
430#394—31no—
431#394—31no—
432#394C2×D311yescharacteristic
433#393—31no—
434#393—31no—
435#393—31no—
436#392—31no—
437#392—31no—
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#389—31no—
447#389—31no—
448#389—31no—
449#389C2×D311yescharacteristic
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#388—31no—
470#388C2×D311yescharacteristic
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#385—31no—
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#380—31no—
519#380—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×#95C2×D311yescharacteristic
541C24×C3C2411yescharacteristic
542C24×C3C2411yescharacteristic
543C24×C3C2411yescharacteristic
544C23×D3C2411yescharacteristic
545C2×C3×D4—22no—
546C2×C3×D4—22no—
547C2×C3×D4—22no—
548C2×C3×D4—22no—
549C2×C3×D4—41no—
550C2×C3×D4—41no—
551C2×C3×D4—41no—
552C2×C3×D4—41no—
553C2×C3×D4—41no—
554C22×C3×C4—22no—
555C22×C3×C4—22no—
556C22×C3×C4—22no—
557C22×C3×C4—22no—
558C22×C3×C4—22no—
559C22×C3×C4—41no—
560C22×C3×C4—41no—
561C22×C3×C4—41no—
562C22×C3×C4—41no—
563C22×C3×C4—41no—
564C22×C3×C4—41no—
565C22×C3×C4—41no—
566C22×C3×C4C2411yescharacteristic
567C22×C3×C4C2411yescharacteristic
568C22×C3×C4C2411yescharacteristic
569C22×C3×C4C2411yescharacteristic
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×C3×C4C2411yescharacteristic
573C22×C3×C4C2411yescharacteristic
574C22×C3×C4C2411yescharacteristic
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C2×#67—22no—
579C2×#67—22no—
580C2×#67—22no—
581C2×#67—41no—
582C2×#67—41no—
583C2×#67—41no—
584C2×#67—41no—
585C2×#67—41no—
586C2×#67—41no—
587C22×Dic3—22no—
588C22×Dic3—22no—
589C22×Dic3—22no—
590C22×Dic3—41no—
591C22×Dic3—41no—
592C22×Dic3—41no—
593C22×Dic3—41no—
594C22×Dic3—41no—
595C22×Dic3—41no—
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
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
611C2×C4×D3—22no—
612C2×C4×D3—41no—
613C2×C4×D3—41no—
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×C4⋊C4—41no—
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#4114yes—
639C3×C42—22no—
640#217—22no—
641#217—22no—
642#217—22no—
643#217—22no—
644#217—22no—
645#217—22no—
646#217—41no—
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(C2×D3)⋊C4—22no—
659(C2×D3)⋊C4—22no—
660(C2×D3)⋊C4—22no—
661(C2×D3)⋊C4—41no—
662(C2×D3)⋊C4—41no—
663(C2×D3)⋊C4—41no—
664(C2×D3)⋊C4—41no—
665(C2×D3)⋊C4—41no—
666(C2×D3)⋊C4—41no—
667(C2×D3)⋊C4—41no—
668(C2×D3)⋊C4—41no—
669C4⋊Dic3—22no—
670C4⋊Dic3—22no—
671C4⋊Dic3—22no—
672C4⋊Dic3—41no—
673C4⋊Dic3—41no—
674C4⋊Dic3—41no—
675C4⋊Dic3—41no—
676C4⋊Dic3—41no—
677C4⋊Dic3—41no—
678Dic3⋊C4—22no—
679Dic3⋊C4—41no—
680Dic3⋊C4—41no—
681Dic3⋊C4—41no—
682Dic3⋊C4—41no—
683Dic3⋊C4—41no—
684Dic3⋊C4—41no—
685Dic3⋊C4—41no—
686Dic3⋊C4—41no—
687Dic3⋊C4—41no—
688Dic3⋊C4—41no—
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×D4—31no—
706C22×D4—31no—
707C22×D4—31no—
708C22×D4C22×D311yescharacteristic
709C22×D4C22×D311yescharacteristic
710C22×D4C22×D311yescharacteristic
711C23×C4—31no—
712C23×C4—31no—
713C23×C4—31no—
714C23×C4—31no—
715C23×C4C22×D311yescharacteristic
716C23×C4C22×D311yescharacteristic
717C23×C4C22×D311yescharacteristic
718C23×C4C22×D311yescharacteristic
719#126—122no—
720#124—64no—
721#124—122no—
722#123—24no—
723#123—42no—
724#123—64no—
725C22⋊Q8—122no—
726#121—42no—
727#121—122no—
728C4×D4—24no—
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⋊C4C22×D311yescharacteristic
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⋊C4—31no—
786C2×C22⋊C4—31no—
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—64no—
813C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
863#95C22×D311yescharacteristic
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×C3C2×#4112yes—
890C23×C3H(5,𝔽2)12yes—
891C23×C3C2511yescharacteristic
892C22×D3—21no—
893C22×D3—21no—
894C22×D3—21no—
895C22×D3—21no—
896C22×D3—21no—
897C22×D3—21no—
898C22×D3—21no—
899C3×D4—44no—
900C3×D4—82no—
901C3×D4—82no—
902C2×C3×C4—21no—
903C2×C3×C4—21no—
904C2×C3×C4—21no—
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—44no—
937C2×C3×C4—82no—
938C2×C3×C4—82no—
939C2×C3×C4C2×#4112yes—
940C2×C3×C4C2×#4112yes—
941C2×C3×C4C2×#4112yes—
942#67—82no—
943#67—82no—
944#67—82no—
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—21no—
988C2×Dic3—44no—
989C2×Dic3—44no—
990C2×Dic3—82no—
991C2×Dic3C2×#4112yes—
992C2×Dic3C2×#4112yes—
993C4×D3—82no—
994Dic6—82no—
995Dic6—82no—
996C24—31no—
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—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—62no—
1016C2×D4—62no—
1017C2×D4—62no—
1018C2×D4—121no—
1019C2×D4—121no—
1020C2×D4—121no—
1021C2×D4—121no—
1022C2×D4—121no—
1023C2×D4—121no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
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—41no—
1050C22×C4—41no—
1051C22×C4—62no—
1052C22×C4—62no—
1053C22×C4—62no—
1054C22×C4—62no—
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×C4C23×D311yescharacteristic
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—41no—
1083C4⋊C4—62no—
1084C4⋊C4—62no—
1085C4⋊C4—62no—
1086C4⋊C4—62no—
1087C4⋊C4—121no—
1088C4⋊C4—121no—
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—41no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—62no—
1114C22⋊C4—62no—
1115C22⋊C4—62no—
1116C22⋊C4—62no—
1117C22⋊C4—62no—
1118C22⋊C4—62no—
1119C22⋊C4—62no—
1120C22⋊C4—62no—
1121C22⋊C4—62no—
1122C22⋊C4—121no—
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#23714yes—
1143C42—22no—
1144C42—34no—
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×C3C22×#4111yescharacteristic
1180C22×C3C22×#4111yescharacteristic
1181C22×C3C2×H(5,𝔽2)11yescharacteristic
1182C22×C3#58511yescharacteristic
1183C22×C3#58511yescharacteristic
1184C22×C3#58511yescharacteristic
1185C22×C3#58511yescharacteristic
1186C2×D3—41no—
1187C2×D3—41no—
1188C2×D3—41no—
1189C2×D3—41no—
1190C2×D3—41no—
1191C2×D3—41no—
1192C2×D3—41no—
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—
1204C3×C4—41no—
1205Dic3—22no—
1206Dic3—22no—
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—61no—
1240C23—61no—
1241C23—61no—
1242C23—61no—
1243C23—61no—
1244C23—61no—
1245C23—61no—
1246C23C2×#23712yes—
1247C23#100412yes—
1248C23C24×D311yescharacteristic
1249Q8—242no—
1250Q8—242no—
1251D4—44no—
1252D4—82no—
1253D4—82no—
1254D4—242no—
1255D4—242no—
1256D4—242no—
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—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—32no—
1291C2×C4—32no—
1292C2×C4—44no—
1293C2×C4—44no—
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—61no—
1337C2×C4—82no—
1338C2×C4—82no—
1339C2×C4—124no—
1340C2×C4—124no—
1341C2×C4—242no—
1342C2×C4—242no—
1343C2×C4C2×#23712yes—
1344C2×C4C2×#23712yes—
1345C2×C4D3×#4112yes—
1346C2×C3—42no—
1347C2×C3—42no—
1348C2×C3—81no—
1349C2×C3#345511yescharacteristic
1350C2×C3#347511yescharacteristic
1351C2×C3#349411yescharacteristic
1352C2×C3#349411yescharacteristic
1353C2×C3#352111yescharacteristic
1354C2×C3#354511yescharacteristic
1355C2×C3#356611yescharacteristic
1356D3—81no—
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—121no—
1379C22—121no—
1380C22—121no—
1381C22—121no—
1382C22—121no—
1383C22—121no—
1384C22—121no—
1385C22C22×#23711yescharacteristic
1386C22C2×#100411yescharacteristic
1387C22C2×D3×#4111yescharacteristic
1388C22#596411yescharacteristic
1389C22#596411yescharacteristic
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—41no—
1404C4—62no—
1405C4—62no—
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#3841411yescharacteristic, complemented, Sylow
1420C2—42no—
1421C2—42no—
1422C2—81no—
1423C2—241no—
1424C2#8593611yescharacteristic
1425C2#8614611yescharacteristic
1426C2#8644811yescharacteristic
1427C2#8662711yescharacteristic
1428C2#8665211yescharacteristic
1429C2#8667811yescharacteristic
1430C2#8668711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2425C2
prime radical#82689C2
hypercenter#2425D3
hypocenterC3#38414
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. C3×#2425C2semidirect
2. #82882C2semidirect
3. #82874C2semidirect
4. #82862C2semidirect
5. #82837C2semidirect
7. #82673C2semidirect
8. #82412C2semidirect
9. #82318C2semidirect
10. #77880C2semidirect
11. #77832C2semidirect
12. #77570C2semidirect
13. #77525C2semidirect
14. #77381C2semidirect
15. #77340C2semidirect
16. #77008C2semidirect
17. #76957C2semidirect
18. #76235C2semidirect
19. #76101C2semidirect
20. #75571C2semidirect
21. #75483C2semidirect
22. #74869C2semidirect
23. #74780C2semidirect
24. #74767C2semidirect
25. #74764C2semidirect
26. #74554C2semidirect
27. #74390C2semidirect
28. #73929C2semidirect
29. #73863C2semidirect
30. #73356C2semidirect
31. #73335C2semidirect
212. #2425D3semidirect
1419. C3#38414semidirect

Maximal subgroups

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

subgroupindex
C3×#24252
#828822
#828742
#828622
#828372
#826892
#826732
#824122
#823182
#778802
#778322
#775702
#775252
#773812
#773402
#770082
#769572
#762352
#761012
#755712
#754832
#748692
#747802
#747672
#747642
#745542
#743902
#739292
#738632
#733562
#733352
#384143