Finite Group Databasebeta

← #11079606

Subgroups — #11079606

Order 768.

1638 conjugacy classes of subgroups.

The subgroup lattice has 1422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2751C211yesmaximal, characteristic, complemented
2#78249C211yesmaximal, characteristic, complemented
3#78185C211yesmaximal, characteristic, complemented
4#77532C211yesmaximal, characteristic, complemented
5#77505C211yesmaximal, characteristic, complemented
6#77495C211yesmaximal, characteristic, complemented
7#77472C211yesmaximal, characteristic, complemented
8#77031C211yesmaximal, characteristic, complemented
9#76948C211yesmaximal, characteristic, complemented
10#76819C211yesmaximal, characteristic, complemented
11#76819C211yesmaximal, characteristic, complemented
12#76806C211yesmaximal, characteristic, complemented
13#76805C211yesmaximal, characteristic, complemented
14#76588C211yesmaximal, characteristic, complemented
15#76480C211yesmaximal, characteristic, complemented
16#76425C211yesmaximal, characteristic, complemented
17#76396C211yesmaximal, characteristic
18#75646C211yesmaximal, characteristic, complemented
19#75621C211yesmaximal, characteristic, complemented
20#75559C211yesmaximal, characteristic, complemented
21#75467C211yesmaximal, characteristic, complemented
22#75273C211yesmaximal, characteristic, complemented
23#75217C211yesmaximal, characteristic, complemented
24#74974C211yesmaximal, characteristic, complemented
25#74943C211yesmaximal, characteristic, complemented
26#74846C211yesmaximal, characteristic, complemented
27#74677C211yesmaximal, characteristic, complemented
28#74617C211yesmaximal, characteristic, complemented
29#74389C211yesmaximal, characteristic, complemented
30#74081C211yesmaximal, characteristic, complemented
31#74071C211yesmaximal, characteristic, complemented
32#39843—31nomaximal, Sylow
33C2×#947C2211yescharacteristic
34C2×Q8×Dic3C2211yescharacteristic
35C2×#939C2211yescharacteristic
36C2×C4×#67C2211yescharacteristic
37C2×#898C2211yescharacteristic
38C2×#893C2211yescharacteristic
39C2×#889C2211yescharacteristic
40C2×#883C2211yescharacteristic
41C2×#879C2211yescharacteristic
42C2×#879C2211yescharacteristic
43C2×#879C2211yescharacteristic
44C2×#877C2211yescharacteristic
45C3×#400C2211yescharacteristic
46C3×#397C2211yescharacteristic
47C3×#397C2211yescharacteristic
48C3×#394C2211yescharacteristic
49C3×#393C2211yescharacteristic
50C3×#393C2211yescharacteristic
51C3×#391C2211yescharacteristic
52C3×#390C2211yescharacteristic
53C3×#388C2211yescharacteristic
54C3×#388C2211yescharacteristic
55C3×#387C2211yescharacteristic
56C3×#387C2211yescharacteristic
57C3×#386C2211yescharacteristic
58C3×#385C2211yescharacteristic
59C3×#381C2211yescharacteristic
60#5230C2211yescharacteristic
61#5230C2211yescharacteristic
62#5223C2211yescharacteristic
63#5221C2211yescharacteristic
64#5221C2211yescharacteristic
65#5213C2211yescharacteristic
66#5210C2211yescharacteristic
67C4×#217C2211yescharacteristic
68#4994C2211yescharacteristic
69#4994C2211yescharacteristic
70#4992C2211yescharacteristic
71#4992C2211yescharacteristic
72#4992C2211yescharacteristic
73#4990C2211yescharacteristic
74#4989C2211yescharacteristic
75#4984C2211yescharacteristic
76#4978C2211yescharacteristic
77#4977C2211yescharacteristic
78#4976C2211yescharacteristic
79#4976C2211yescharacteristic
80#4976C2211yescharacteristic
81Dic3×C4⋊C4C2211yescharacteristic
82Dic3×C4⋊C4C2211yescharacteristic
83Dic3×C4⋊C4C2211yescharacteristic
84#4972C2211yescharacteristic
85#4961C2211yescharacteristic
86#4961C2211yescharacteristic
87#4960C2211yescharacteristic
88#4960C2211yescharacteristic
89#4959C2211yescharacteristic
90#4959C2211yescharacteristic
91#4959C2211yescharacteristic
92#4959C2211yescharacteristic
93#4959C2211yescharacteristic
94#4959C2211yescharacteristic
95#4958C2211yescharacteristic
96#4957C2211yescharacteristic
97#4957C2211yescharacteristic
98#4957C2211yescharacteristic
99#4957C2211yescharacteristic
100#4957C2211yescharacteristic
101#4957C2211yescharacteristic
102#4956C2211yescharacteristic
103#4956C2211yescharacteristic
104#4953C2211yescharacteristic
105#4951C2211yescharacteristic
106#4951C2211yescharacteristic
107#4951C2211yescharacteristic
108#4951C2211yescharacteristic
109#4950C2211yescharacteristic
110#4950C2211yescharacteristic
111#4949C2211yescharacteristic
112#4946C2211yescharacteristic
113#4945C2211yescharacteristic
114#4945C2211yescharacteristic
115#4945C2211yescharacteristic
116#4945C2211yescharacteristic
117#4945C2211yescharacteristic
118#4945C2211yescharacteristic
119#4944C2211yescharacteristic
120#4944C2211yescharacteristic
121#4944C2211yescharacteristic
122#4944C2211yescharacteristic
123Dic3×C22⋊C4C2211yescharacteristic
124#4940C2211yescharacteristic
125#4939C2211yescharacteristic
126C4×(C2×D3)⋊C4C2211yescharacteristic
127C4×C4⋊Dic3C2211yescharacteristic
128#4933C2211yescharacteristic
129#4933C2211yescharacteristic
130C42×Dic3C2211yescharacteristic
131#4928C2211yescharacteristic
132#4676C2211yescharacteristic
133#4676C2211yescharacteristic
134#4676C2211yescharacteristic
135#4676C2211yescharacteristic
136#4675C2211yescharacteristic
137#4675C2211yescharacteristic
138#4672C2211yescharacteristic
139#4672C2211yescharacteristic
140#4670C2211yescharacteristic
141#4670C2211yescharacteristic
142#4670C2211yescharacteristic
143#4670C2211yescharacteristic
144#4670C2211yescharacteristic
145#4670C2211yescharacteristic
146#4670C2211yescharacteristic
147#4670C2211yescharacteristic
148#4670C2211yescharacteristic
149#4670C2211yescharacteristic
150#4670C2211yescharacteristic
151#4669C2211yescharacteristic
152#4668C2211yescharacteristic
153#4666C2211yescharacteristic
154#4666C2211yescharacteristic
155#4666C2211yescharacteristic
156#4666C2211yescharacteristic
157#4664C2211yescharacteristic
158#4661C2211yescharacteristic
159#4660C2211yescharacteristic
160#4659C2211yescharacteristic
161#4658C2211yescharacteristic
162#4658C2211yescharacteristic
163#4657C2211yescharacteristic
164#4655C2211yescharacteristic
165#4655C2211yescharacteristic
166#4655C2211yescharacteristic
167#4655C2211yescharacteristic
168#4655C2211yescharacteristic
169#4654C2211yescharacteristic
170#4654C2211yescharacteristic
171#4654C2211yescharacteristic
172#4653C2211yescharacteristic
173#4652C2211yescharacteristic
174#4652C2211yescharacteristic
175#4651C2211yescharacteristic
176#4650C2211yescharacteristic
177#4650C2211yescharacteristic
178#4649C2211yescharacteristic
179#4649C2211yescharacteristic
180#4649C2211yescharacteristic
181#4649C2211yescharacteristic
182#4648C2211yescharacteristic
183#4647C2211yescharacteristic
184#4647C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#2860—31no—
189#2800—31no—
190#2774—31no—
191#2772—31no—
192#2753—31no—
193#2751D311yescharacteristic, complemented
194#2725—31no—
195#2714—31no—
196#2711—31no—
197#2662—31no—
198#2662—31no—
199#2604—31no—
200#2602—31no—
201#2600—31no—
202#2599—31no—
203#2597—31no—
204#2593—31no—
205#2573—31no—
206#2554—31no—
207#2526—31no—
208#2518—31no—
209#2516—31no—
210#2513—31no—
211#2470—31no—
212#2466—31no—
213#2373—31no—
214#2363—31no—
215#2334—31no—
216#2334—31no—
217C4×#125—31no—
218C4×#124—31no—
219C22×C3×Q8C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C22×D12C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C2×C3×C4⋊C4C2311yescharacteristic
231C2×C3×C4⋊C4C2311yescharacteristic
232C2×C3×C4⋊C4C2311yescharacteristic
233C2×C3×C4⋊C4C2311yescharacteristic
234C2×C3×C4⋊C4C2311yescharacteristic
235C2×C3×C22⋊C4C2311yescharacteristic
236C2×C3×C22⋊C4C2311yescharacteristic
237C2×C3×C22⋊C4C2311yescharacteristic
238C2×C3×C22⋊C4C2311yescharacteristic
239C2×C3×C22⋊C4C2311yescharacteristic
240C2×C3×C22⋊C4C2311yescharacteristic
241C2×C3×C22⋊C4C2311yescharacteristic
242C2×C3×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C42C2311yescharacteristic
247C2×C3×C42C2311yescharacteristic
248C2×#217C2311yescharacteristic
249C2×#217C2311yescharacteristic
250C2×#217C2311yescharacteristic
251C2×#217C2311yescharacteristic
252C2×#217C2311yescharacteristic
253C2×#217C2311yescharacteristic
254C2×#217C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259#947—24no—
260Q8×Dic3—42no—
261#939—24no—
262C4×#67—42no—
263C2×(C2×D3)⋊C4C2311yescharacteristic
264C2×(C2×D3)⋊C4C2311yescharacteristic
265C2×(C2×D3)⋊C4C2311yescharacteristic
266C2×(C2×D3)⋊C4C2311yescharacteristic
267C2×(C2×D3)⋊C4C2311yescharacteristic
268C2×(C2×D3)⋊C4C2311yescharacteristic
269C2×(C2×D3)⋊C4C2311yescharacteristic
270C2×(C2×D3)⋊C4C2311yescharacteristic
271C2×(C2×D3)⋊C4C2311yescharacteristic
272C2×(C2×D3)⋊C4C2311yescharacteristic
273C2×(C2×D3)⋊C4C2311yescharacteristic
274C2×(C2×D3)⋊C4C2311yescharacteristic
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
286C2×C4⋊Dic3C2311yescharacteristic
287C2×C4⋊Dic3C2311yescharacteristic
288C2×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×Dic3⋊C4C2311yescharacteristic
296C2×Dic3⋊C4C2311yescharacteristic
297C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
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
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332#898—24no—
333#893—42no—
334#889—24no—
335#883—42no—
336#879—24no—
337#879—24no—
338#879—42no—
339#877—42no—
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×#126—31no—
388C2×#126—31no—
389C2×#126—31no—
390C2×#125—31no—
391C2×#124—31no—
392C2×#123—31no—
393C2×#121—31no—
394C2×C4×Q8—31no—
395C2×C4×D4—31no—
396C2×C4×D4—31no—
397C2×#117—31no—
398#400—31no—
399#400—31no—
400#400—31no—
401#400—31no—
402#400C2×D311yescharacteristic
403#399—31no—
404#398—31no—
405#398—31no—
406#397—31no—
407#397—31no—
408#397—31no—
409#397—31no—
410#397—31no—
411#397—31no—
412#397C2×D311yescharacteristic
413#397C2×D311yescharacteristic
414#396—31no—
415#396—31no—
416#396—31no—
417#396—31no—
418#396—31no—
419#396—31no—
420#395—31no—
421#395—31no—
422#394—31no—
423#394—31no—
424#394—31no—
425#394—31no—
426#394—31no—
427#394—31no—
428#394—31no—
429#394—31no—
430#394—31no—
431#394—31no—
432#394C2×D311yescharacteristic
433#393C2×D311yescharacteristic
434#393C2×D311yescharacteristic
435#392—31no—
436#392—31no—
437#392—31no—
438#391C2×D311yescharacteristic
439#390—31no—
440#390—31no—
441#390—31no—
442#390—31no—
443#390—31no—
444#390—31no—
445#390—31no—
446#390—31no—
447#390—31no—
448#390C2×D311yescharacteristic
449#389—31no—
450#389—31no—
451#389—31no—
452#389—31no—
453#389—31no—
454#389—31no—
455#389—31no—
456#389—31no—
457#389—31no—
458#389—31no—
459#389—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#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388C2×D311yescharacteristic
489#388C2×D311yescharacteristic
490#387—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
500#387—31no—
501#387—31no—
502#387—31no—
503#387—31no—
504#387C2×D311yescharacteristic
505#387C2×D311yescharacteristic
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386C2×D311yescharacteristic
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385C2×D311yescharacteristic
518#383—31no—
519#382—31no—
520#382—31no—
521#382—31no—
522#381—31no—
523#381C2×D311yescharacteristic
524C4×C4⋊C4—31no—
525C4×C4⋊C4—31no—
526C4×C4⋊C4—31no—
527C4×C4⋊C4—31no—
528C4×C4⋊C4—31no—
529C4×C4⋊C4—31no—
530C4×C4⋊C4—31no—
531C4×C4⋊C4—31no—
532C4×C22⋊C4—31no—
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4—31no—
536C4×C22⋊C4—31no—
537C4×C22⋊C4—31no—
538C4×C22⋊C4—31no—
539#376—31no—
540C43—31no—
541C24×C3C2411yescharacteristic
542C24×C3C2411yescharacteristic
543C23×D3C2411yescharacteristic
544C23×D3C2411yescharacteristic
545C2×C3×Q8—22no—
546C2×C3×Q8—41no—
547C2×C3×Q8—41no—
548C2×C3×D4—22no—
549C2×C3×D4—41no—
550C2×C3×D4—41no—
551C22×C3×C4—41no—
552C22×C3×C4—41no—
553C22×C3×C4—41no—
554C22×C3×C4C2411yescharacteristic
555C22×C3×C4C2411yescharacteristic
556C22×C3×C4C2411yescharacteristic
557C22×C3×C4C2411yescharacteristic
558C22×C3×C4C2411yescharacteristic
559C22×C3×C4C2411yescharacteristic
560C22×C3×C4C2411yescharacteristic
561C22×C3×C4C2411yescharacteristic
562C22×C3×C4C2411yescharacteristic
563C22×C3×C4C2411yescharacteristic
564C22×C3×C4C2411yescharacteristic
565C22×C3×C4C2411yescharacteristic
566C22×C3×C4C2411yescharacteristic
567C2×#67—22no—
568C2×#67—22no—
569C2×#67—41no—
570C2×#67—41no—
571C2×#67—41no—
572C2×#67—41no—
573C2×#67—41no—
574C2×#67—41no—
575C2×#67—41no—
576C2×#67—41no—
577C2×#67—41no—
578C2×#67—41no—
579C22×Dic3—22no—
580C22×Dic3—41no—
581C22×Dic3—41no—
582C22×Dic3C2411yescharacteristic
583C22×Dic3C2411yescharacteristic
584C22×Dic3C2411yescharacteristic
585C22×Dic3C2411yescharacteristic
586C22×Dic3C2411yescharacteristic
587C22×Dic3C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C2×D12—22no—
597C2×D12—41no—
598C2×D12—41no—
599C2×C4×D3—22no—
600C2×C4×D3—22no—
601C2×C4×D3—41no—
602C2×C4×D3—41no—
603C2×C4×D3—41no—
604C2×C4×D3—41no—
605C3×C4⋊C4—22no—
606C3×C4⋊C4—22no—
607C3×C4⋊C4—41no—
608C3×C4⋊C4—41no—
609C3×C4⋊C4—41no—
610C3×C22⋊C4—22no—
611C3×C22⋊C4—22no—
612C3×C22⋊C4—41no—
613C3×C22⋊C4—41no—
614C3×C22⋊C4—41no—
615C3×C22⋊C4—41no—
616C3×C22⋊C4—41no—
617C3×C22⋊C4—41no—
618C3×C22⋊C4—41no—
619C3×C22⋊C4—41no—
620C3×C22⋊C4—41no—
621C3×C42—41no—
622C3×C42—41no—
623#217—22no—
624#217—22no—
625#217—22no—
626#217—22no—
627#217—22no—
628#217—22no—
629#217—22no—
630#217—41no—
631#217—41no—
632#217—41no—
633#217—41no—
634(C2×D3)⋊C4—22no—
635(C2×D3)⋊C4—22no—
636(C2×D3)⋊C4—22no—
637(C2×D3)⋊C4—22no—
638(C2×D3)⋊C4—22no—
639(C2×D3)⋊C4—22no—
640(C2×D3)⋊C4—22no—
641(C2×D3)⋊C4—22no—
642(C2×D3)⋊C4—41no—
643(C2×D3)⋊C4—41no—
644(C2×D3)⋊C4—41no—
645(C2×D3)⋊C4—41no—
646(C2×D3)⋊C4—41no—
647(C2×D3)⋊C4—41no—
648(C2×D3)⋊C4—41no—
649(C2×D3)⋊C4—41no—
650(C2×D3)⋊C4—41no—
651(C2×D3)⋊C4—41no—
652(C2×D3)⋊C4—41no—
653(C2×D3)⋊C4—41no—
654(C2×D3)⋊C4—41no—
655(C2×D3)⋊C4—41no—
656C4⋊Dic3—22no—
657C4⋊Dic3—22no—
658C4⋊Dic3—22no—
659C4⋊Dic3—22no—
660C4⋊Dic3—22no—
661C4⋊Dic3—41no—
662C4⋊Dic3—41no—
663C4⋊Dic3—41no—
664C4⋊Dic3—41no—
665C4⋊Dic3—41no—
666Dic3⋊C4—22no—
667Dic3⋊C4—22no—
668Dic3⋊C4—22no—
669Dic3⋊C4—22no—
670Dic3⋊C4—22no—
671Dic3⋊C4—22no—
672Dic3⋊C4—22no—
673Dic3⋊C4—22no—
674Dic3⋊C4—41no—
675Dic3⋊C4—41no—
676Dic3⋊C4—41no—
677Dic3⋊C4—41no—
678Dic3⋊C4—41no—
679Dic3⋊C4—41no—
680Dic3⋊C4—41no—
681Dic3⋊C4—41no—
682Dic3⋊C4—41no—
683Dic3⋊C4—41no—
684Dic3⋊C4—41no—
685Dic3⋊C4#4114yes—
686C4×Dic3—22no—
687C4×Dic3—22no—
688C4×Dic3—22no—
689C4×Dic3—22no—
690C4×Dic3—22no—
691C4×Dic3—41no—
692C4×Dic3—41no—
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×Q8C22×D311yescharacteristic
704C22×D4—31no—
705C22×D4—31no—
706C22×D4—31no—
707C22×D4—31no—
708C22×D4—31no—
709C22×D4C22×D311yescharacteristic
710C23×C4—31no—
711C23×C4—31no—
712C23×C4—31no—
713C23×C4C22×D311yescharacteristic
714#126—64no—
715#126—64no—
716#126—64no—
717#126—122no—
718#125—64no—
719#124—64no—
720#123—122no—
721#121—64no—
722C4×Q8—122no—
723C4×D4—122no—
724C4×D4—122no—
725#117—122no—
726C2×C4⋊C4—31no—
727C2×C4⋊C4—31no—
728C2×C4⋊C4—31no—
729C2×C4⋊C4—31no—
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⋊C4—31no—
752C2×C4⋊C4—31no—
753C2×C4⋊C4—31no—
754C2×C4⋊C4—31no—
755C2×C4⋊C4—31no—
756C2×C4⋊C4C22×D311yescharacteristic
757C2×C4⋊C4C22×D311yescharacteristic
758C2×C4⋊C4C22×D311yescharacteristic
759C2×C4⋊C4C22×D311yescharacteristic
760C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
788C2×C22⋊C4—31no—
789C2×C22⋊C4—31no—
790C2×C22⋊C4—31no—
791C2×C22⋊C4—31no—
792C2×C22⋊C4—31no—
793C2×C22⋊C4—31no—
794C2×C22⋊C4C22×D311yescharacteristic
795C2×C22⋊C4C22×D311yescharacteristic
796C2×C22⋊C4C22×D311yescharacteristic
797C2×C22⋊C4C22×D311yescharacteristic
798C2×C22⋊C4C22×D311yescharacteristic
799C2×C22⋊C4C22×D311yescharacteristic
800C2×C22⋊C4C22×D311yescharacteristic
801C2×C22⋊C4C22×D311yescharacteristic
802C2×C22⋊C4C22×D311yescharacteristic
803C2×C22⋊C4C22×D311yescharacteristic
804C2×C22⋊C4C22×D311yescharacteristic
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—31no—
814C2×C42—31no—
815C2×C42—31no—
816C2×C42—31no—
817C2×C42—31no—
818C2×C42—31no—
819C2×C42—31no—
820C2×C42—31no—
821C2×C42—31no—
822C2×C42C22×D311yescharacteristic
823C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
857#95C22×D311yescharacteristic
858#95C22×D311yescharacteristic
859#95C22×D311yescharacteristic
860#95C22×D311yescharacteristic
861#95C22×D311yescharacteristic
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×C3C2511yescharacteristic
885C22×D3—21no—
886C22×D3—21no—
887C22×D3—21no—
888C22×D3—21no—
889C22×D3—21no—
890C22×D3—21no—
891C22×D3—21no—
892C22×D3—21no—
893C22×D3—21no—
894C22×D3—21no—
895C22×D3—21no—
896C22×D3—21no—
897C22×D3—21no—
898C22×D3—21no—
899C3×Q8—44no—
900C3×D4—82no—
901C2×C3×C4—21no—
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—21no—
936C2×C3×C4—21no—
937C2×C3×C4—21no—
938C2×C3×C4—82no—
939C2×C3×C4C2×#4112yes—
940C2×C3×C4C2×#4112yes—
941#67—44no—
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—44no—
983C2×Dic3C2×#4112yes—
984C2×Dic3C2×#4112yes—
985C2×Dic3C2×#4112yes—
986C2×Dic3C2×#4112yes—
987C2×Dic3H(5,𝔽2)12yes—
988D12—44no—
989C4×D3—82no—
990C4×D3—82no—
991C24—31no—
992C24—31no—
993C24C23×D311yescharacteristic
994C24C23×D311yescharacteristic
995C2×Q8—22no—
996C2×Q8—41no—
997C2×Q8—41no—
998C2×D4—22no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—62no—
1002C2×D4—62no—
1003C2×D4—62no—
1004C2×D4—121no—
1005C2×D4—121no—
1006C2×D4—121no—
1007C2×D4—121no—
1008C2×D4—121no—
1009C2×D4—121no—
1010C2×D4—121no—
1011C2×D4—121no—
1012C2×D4—121no—
1013C2×D4—121no—
1014C2×D4—121no—
1015C2×D4—121no—
1016C22×C4—31no—
1017C22×C4—31no—
1018C22×C4—31no—
1019C22×C4—31no—
1020C22×C4—31no—
1021C22×C4—31no—
1022C22×C4—31no—
1023C22×C4—31no—
1024C22×C4—31no—
1025C22×C4—31no—
1026C22×C4—31no—
1027C22×C4—31no—
1028C22×C4—31no—
1029C22×C4—31no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—62no—
1034C22×C4—62no—
1035C22×C4—62no—
1036C22×C4—121no—
1037C22×C4—121no—
1038C22×C4—121no—
1039C22×C4—121no—
1040C22×C4—121no—
1041C22×C4—121no—
1042C22×C4C23×D311yescharacteristic
1043C22×C4C23×D311yescharacteristic
1044C22×C4C23×D311yescharacteristic
1045C22×C4C23×D311yescharacteristic
1046C22×C4C23×D311yescharacteristic
1047C22×C4C23×D311yescharacteristic
1048C22×C4C23×D311yescharacteristic
1049C22×C4C23×D311yescharacteristic
1050C22×C4C23×D311yescharacteristic
1051C22×C4C23×D311yescharacteristic
1052C22×C4C23×D311yescharacteristic
1053C22×C4C23×D311yescharacteristic
1054C22×C4C23×D311yescharacteristic
1055C4⋊C4—22no—
1056C4⋊C4—22no—
1057C4⋊C4—34no—
1058C4⋊C4—41no—
1059C4⋊C4—41no—
1060C4⋊C4—41no—
1061C4⋊C4—62no—
1062C4⋊C4—62no—
1063C4⋊C4—62no—
1064C4⋊C4—62no—
1065C4⋊C4—62no—
1066C4⋊C4—62no—
1067C4⋊C4—62no—
1068C4⋊C4—62no—
1069C4⋊C4—62no—
1070C4⋊C4—62no—
1071C4⋊C4—62no—
1072C4⋊C4—62no—
1073C4⋊C4—62no—
1074C4⋊C4—121no—
1075C4⋊C4—121no—
1076C4⋊C4—121no—
1077C4⋊C4—121no—
1078C4⋊C4—121no—
1079C4⋊C4—121no—
1080C4⋊C4—121no—
1081C4⋊C4—121no—
1082C4⋊C4—121no—
1083C4⋊C4—121no—
1084C4⋊C4—121no—
1085C4⋊C4—121no—
1086C4⋊C4—121no—
1087C4⋊C4—121no—
1088C4⋊C4—121no—
1089C4⋊C4—121no—
1090C22⋊C4—22no—
1091C22⋊C4—22no—
1092C22⋊C4—41no—
1093C22⋊C4—41no—
1094C22⋊C4—41no—
1095C22⋊C4—41no—
1096C22⋊C4—41no—
1097C22⋊C4—41no—
1098C22⋊C4—41no—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4—62no—
1102C22⋊C4—62no—
1103C22⋊C4—62no—
1104C22⋊C4—62no—
1105C22⋊C4—62no—
1106C22⋊C4—62no—
1107C22⋊C4—62no—
1108C22⋊C4—62no—
1109C22⋊C4—62no—
1110C22⋊C4—62no—
1111C22⋊C4—62no—
1112C22⋊C4—62no—
1113C22⋊C4—62no—
1114C22⋊C4—62no—
1115C22⋊C4—62no—
1116C22⋊C4—121no—
1117C22⋊C4—121no—
1118C22⋊C4—121no—
1119C22⋊C4—121no—
1120C22⋊C4—121no—
1121C22⋊C4—121no—
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—
1134C42—34no—
1135C42—41no—
1136C42—41no—
1137C42—62no—
1138C42—62no—
1139C42—62no—
1140C42—62no—
1141C42—62no—
1142C42—121no—
1143C42—121no—
1144C42—121no—
1145C42—121no—
1146C42—121no—
1147C42—121no—
1148C42—121no—
1149C42—121no—
1150C42—121no—
1151C42—121no—
1152C42—121no—
1153C22×C3—41no—
1154C22×C3—41no—
1155C22×C3—41no—
1156C22×C3—41no—
1157C22×C3—41no—
1158C22×C3—41no—
1159C22×C3—41no—
1160C22×C3—41no—
1161C22×C3—41no—
1162C22×C3—41no—
1163C22×C3—41no—
1164C22×C3—41no—
1165C22×C3—41no—
1166C22×C3—41no—
1167C22×C3C22×#4111yescharacteristic
1168C22×C3C22×#4111yescharacteristic
1169C22×C3C2×H(5,𝔽2)11yescharacteristic
1170C22×C3#58511yescharacteristic
1171C22×C3#58511yescharacteristic
1172C22×C3#58511yescharacteristic
1173C22×C3#58511yescharacteristic
1174C2×D3—41no—
1175C2×D3—41no—
1176C2×D3—41no—
1177C2×D3—41no—
1178C2×D3—41no—
1179C2×D3—41no—
1180C2×D3—41no—
1181C2×D3—41no—
1182C2×D3—41no—
1183C2×D3—41no—
1184C2×D3—41no—
1185C2×D3—41no—
1186C2×D3—41no—
1187C2×D3—41no—
1188C3×C4—22no—
1189C3×C4—22no—
1190C3×C4—41no—
1191C3×C4—41no—
1192C3×C4—41no—
1193C3×C4—41no—
1194C3×C4—41no—
1195C3×C4—41no—
1196C3×C4—41no—
1197C3×C4—41no—
1198C3×C4—41no—
1199C3×C4—41no—
1200C3×C4—41no—
1201Dic3—22no—
1202Dic3—22no—
1203Dic3—22no—
1204Dic3—22no—
1205Dic3—22no—
1206Dic3—41no—
1207Dic3—41no—
1208Dic3—41no—
1209Dic3—41no—
1210Dic3—41no—
1211Dic3—41no—
1212Dic3—41no—
1213Dic3—41no—
1214Dic3—41no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—61no—
1230C23—61no—
1231C23—61no—
1232C23—61no—
1233C23—61no—
1234C23—61no—
1235C23—61no—
1236C23—61no—
1237C23—61no—
1238C23—61no—
1239C23—61no—
1240C23—61no—
1241C23—61no—
1242C23—61no—
1243C23C24×D311yescharacteristic
1244Q8—44no—
1245D4—82no—
1246D4—124no—
1247D4—124no—
1248D4—242no—
1249D4—242no—
1250D4—242no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
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—32no—
1289C2×C4—32no—
1290C2×C4—32no—
1291C2×C4—32no—
1292C2×C4—32no—
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—82no—
1331C2×C4—124no—
1332C2×C4—242no—
1333C2×C4—242no—
1334C2×C4D3×#4112yes—
1335C2×C4D3×#4112yes—
1336C2×C3—81no—
1337C2×C3—81no—
1338C2×C3#346011yescharacteristic
1339C2×C3#348011yescharacteristic
1340C2×C3#350611yescharacteristic
1341C2×C3#351211yescharacteristic
1342C2×C3#352111yescharacteristic
1343C2×C3#354511yescharacteristic
1344C2×C3#356611yescharacteristic
1345D3—81no—
1346D3—81no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—121no—
1362C22—121no—
1363C22—121no—
1364C22—121no—
1365C22—121no—
1366C22—121no—
1367C22—121no—
1368C22—121no—
1369C22—121no—
1370C22—121no—
1371C22—121no—
1372C22—121no—
1373C22—121no—
1374C22—121no—
1375C22C2×D3×#4111yescharacteristic
1376C22C2×D3×#4111yescharacteristic
1377C22#596411yescharacteristic
1378C22D3×H(5,𝔽2)11yescharacteristic
1379C22#596611yescharacteristic
1380C22#596611yescharacteristic
1381C22#596811yescharacteristic
1382C4—22no—
1383C4—22no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—62no—
1396C4—62no—
1397C4—62no—
1398C4—62no—
1399C4—62no—
1400C4—121no—
1401C4—121no—
1402C4—121no—
1403C4—121no—
1404C4—121no—
1405C4—121no—
1406C4—121no—
1407C4—121no—
1408C4—121no—
1409C3#3984311yescharacteristic, complemented, Sylow
1410C2—81no—
1411C2—81no—
1412C2—241no—
1413C2—241no—
1414C2#8639111yescharacteristic
1415C2#8642311yescharacteristic
1416C2#8652411yescharacteristic
1417C2#8680011yescharacteristic
1418C2#8683311yescharacteristic
1419C2#8704911yescharacteristic
1420C2#8710511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2751C2
prime radical#76396C2
hypercenter#2751D3
hypocenterC3#39843
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2751

Complements

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

NH ≅ G/Ntype
1. C3×#2751C2semidirect
2. #78249C2semidirect
3. #78185C2semidirect
4. #77532C2semidirect
5. #77505C2semidirect
6. #77495C2semidirect
7. #77472C2semidirect
8. #77031C2semidirect
9. #76948C2semidirect
10. #76819C2semidirect
11. #76819C2semidirect
12. #76806C2semidirect
13. #76805C2semidirect
14. #76588C2semidirect
15. #76480C2semidirect
16. #76425C2semidirect
18. #75646C2semidirect
19. #75621C2semidirect
20. #75559C2semidirect
21. #75467C2semidirect
22. #75273C2semidirect
23. #75217C2semidirect
24. #74974C2semidirect
25. #74943C2semidirect
26. #74846C2semidirect
27. #74677C2semidirect
28. #74617C2semidirect
29. #74389C2semidirect
30. #74081C2semidirect
31. #74071C2semidirect
193. #2751D3semidirect
1409. C3#39843semidirect

Maximal subgroups

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

subgroupindex
C3×#27512
#782492
#781852
#775322
#775052
#774952
#774722
#770312
#769482
#768192
#768062
#768052
#765882
#764802
#764252
#763962
#756462
#756212
#755592
#754672
#752732
#752172
#749742
#749432
#748462
#746772
#746172
#743892
#740812
#740712
#398433