Finite Group Databasebeta

← #11003326

Subgroups — #11003326

Order 768.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2478C211yesmaximal, characteristic, complemented
2#83117C211yesmaximal, characteristic
3#83101C211yesmaximal, characteristic, complemented
4#82279C211yesmaximal, characteristic, complemented
5#82268C211yesmaximal, characteristic, complemented
6#77982C211yesmaximal, characteristic, complemented
7#77893C211yesmaximal, characteristic, complemented
8#77882C211yesmaximal, characteristic, complemented
9#77854C211yesmaximal, characteristic, complemented
10#77713C211yesmaximal, characteristic, complemented
11#77642C211yesmaximal, characteristic, complemented
12#77626C211yesmaximal, characteristic, complemented
13#77610C211yesmaximal, characteristic, complemented
14#76286C211yesmaximal, characteristic, complemented
15#76159C211yesmaximal, characteristic, complemented
16#76138C211yesmaximal, characteristic, complemented
17#76058C211yesmaximal, characteristic, complemented
18#75950C211yesmaximal, characteristic, complemented
19#75733C211yesmaximal, characteristic, complemented
20#75445C211yesmaximal, characteristic, complemented
21#75440C211yesmaximal, characteristic, complemented
22#75406C211yesmaximal, characteristic, complemented
23#75367C211yesmaximal, characteristic, complemented
24#75302C211yesmaximal, characteristic, complemented
25#75055C211yesmaximal, characteristic, complemented
26#74622C211yesmaximal, characteristic, complemented
27#74622C211yesmaximal, characteristic, complemented
28#74494C211yesmaximal, characteristic, complemented
29#74484C211yesmaximal, characteristic, complemented
30#73765C211yesmaximal, characteristic, complemented
31#73737C211yesmaximal, characteristic, complemented
32#36770—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic
35C2×C4×#67C2211yescharacteristic
36C2×#895C2211yescharacteristic
37C2×#894C2211yescharacteristic
38C2×#894C2211yescharacteristic
39C2×#894C2211yescharacteristic
40C2×#889C2211yescharacteristic
41C2×C42×D3C2211yescharacteristic
42C3×#398C2211yescharacteristic
43C3×#398C2211yescharacteristic
44C3×#397C2211yescharacteristic
45C3×#397C2211yescharacteristic
46C3×#389C2211yescharacteristic
47C3×#389C2211yescharacteristic
48C3×#388C2211yescharacteristic
49C3×#387C2211yescharacteristic
50C3×#387C2211yescharacteristic
51C3×#387C2211yescharacteristic
52C3×#385C2211yescharacteristic
53C3×#385C2211yescharacteristic
54C3×C4×C4⋊C4C2211yescharacteristic
55#5213C2211yescharacteristic
56#5213C2211yescharacteristic
57C4×#217C2211yescharacteristic
58#4994C2211yescharacteristic
59#4994C2211yescharacteristic
60#4993C2211yescharacteristic
61#4992C2211yescharacteristic
62#4992C2211yescharacteristic
63#4992C2211yescharacteristic
64#4991C2211yescharacteristic
65#4991C2211yescharacteristic
66#4991C2211yescharacteristic
67#4990C2211yescharacteristic
68#4990C2211yescharacteristic
69#4990C2211yescharacteristic
70#4990C2211yescharacteristic
71#4989C2211yescharacteristic
72#4989C2211yescharacteristic
73#4989C2211yescharacteristic
74#4989C2211yescharacteristic
75#4989C2211yescharacteristic
76#4988C2211yescharacteristic
77#4988C2211yescharacteristic
78#4987C2211yescharacteristic
79#4987C2211yescharacteristic
80#4986C2211yescharacteristic
81#4986C2211yescharacteristic
82#4985C2211yescharacteristic
83#4984C2211yescharacteristic
84#4983C2211yescharacteristic
85#4983C2211yescharacteristic
86#4982C2211yescharacteristic
87#4982C2211yescharacteristic
88#4980C2211yescharacteristic
89#4980C2211yescharacteristic
90#4980C2211yescharacteristic
91#4978C2211yescharacteristic
92#4978C2211yescharacteristic
93#4978C2211yescharacteristic
94#4978C2211yescharacteristic
95#4978C2211yescharacteristic
96#4976C2211yescharacteristic
97#4976C2211yescharacteristic
98#4976C2211yescharacteristic
99Dic3×C4⋊C4C2211yescharacteristic
100#4972C2211yescharacteristic
101#4961C2211yescharacteristic
102#4961C2211yescharacteristic
103#4960C2211yescharacteristic
104#4960C2211yescharacteristic
105#4960C2211yescharacteristic
106#4959C2211yescharacteristic
107#4959C2211yescharacteristic
108#4959C2211yescharacteristic
109#4959C2211yescharacteristic
110#4957C2211yescharacteristic
111#4957C2211yescharacteristic
112#4956C2211yescharacteristic
113#4956C2211yescharacteristic
114#4956C2211yescharacteristic
115#4956C2211yescharacteristic
116#4953C2211yescharacteristic
117#4953C2211yescharacteristic
118#4948C2211yescharacteristic
119#4948C2211yescharacteristic
120#4948C2211yescharacteristic
121#4945C2211yescharacteristic
122#4944C2211yescharacteristic
123#4944C2211yescharacteristic
124#4944C2211yescharacteristic
125#4940C2211yescharacteristic
126#4940C2211yescharacteristic
127#4940C2211yescharacteristic
128#4940C2211yescharacteristic
129#4940C2211yescharacteristic
130#4939C2211yescharacteristic
131#4939C2211yescharacteristic
132C4×(C2×D3)⋊C4C2211yescharacteristic
133C4×(C2×D3)⋊C4C2211yescharacteristic
134#4933C2211yescharacteristic
135#4933C2211yescharacteristic
136#4933C2211yescharacteristic
137#4932C2211yescharacteristic
138C4×Dic3⋊C4C2211yescharacteristic
139#4928C2211yescharacteristic
140#4676C2211yescharacteristic
141#4676C2211yescharacteristic
142#4675C2211yescharacteristic
143#4675C2211yescharacteristic
144#4675C2211yescharacteristic
145#4674C2211yescharacteristic
146#4674C2211yescharacteristic
147#4674C2211yescharacteristic
148#4670C2211yescharacteristic
149#4670C2211yescharacteristic
150#4670C2211yescharacteristic
151#4670C2211yescharacteristic
152#4669C2211yescharacteristic
153#4669C2211yescharacteristic
154#4669C2211yescharacteristic
155#4669C2211yescharacteristic
156#4669C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic
161#4667C2211yescharacteristic
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4666C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4664C2211yescharacteristic
171C3⋊#401C2211yescharacteristic
172#4660C2211yescharacteristic
173#4660C2211yescharacteristic
174#4660C2211yescharacteristic
175#4659C2211yescharacteristic
176#4658C2211yescharacteristic
177#4655C2211yescharacteristic
178#4654C2211yescharacteristic
179#4654C2211yescharacteristic
180#4653C2211yescharacteristic
181#4652C2211yescharacteristic
182#4651C2211yescharacteristic
183#4651C2211yescharacteristic
184#4651C2211yescharacteristic
185#4650C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#2854—31no—
189#2851—31no—
190#2800—31no—
191#2796—31no—
192#2779—31no—
193#2778—31no—
194#2777—31no—
195#2770—31no—
196#2766—31no—
197#2757—31no—
198#2757—31no—
199#2753—31no—
200#2749—31no—
201#2739—31no—
202#2725—31no—
203#2714—31no—
204#2708—31no—
205#2707—31no—
206#2630—31no—
207#2630—31no—
208#2595—31no—
209#2594—31no—
210#2578—31no—
211#2577—31no—
212#2533—31no—
213#2526—31no—
214#2478D311yescharacteristic, complemented
215#2471—31no—
216#2335—31no—
217#2335—31no—
218#2290—31no—
219C23×C3×C4C2311yescharacteristic
220C22×#67C2311yescharacteristic
221C22×#67C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×D12C2311yescharacteristic
224C22×D12C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×C4×D3C2311yescharacteristic
227C22×C4×D3C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C3×#126—42no—
232C3×#117—42no—
233C2×C3×C4⋊C4C2311yescharacteristic
234C2×C3×C4⋊C4C2311yescharacteristic
235C2×C3×C4⋊C4C2311yescharacteristic
236C2×C3×C4⋊C4C2311yescharacteristic
237C2×C3×C4⋊C4C2311yescharacteristic
238C2×C3×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C42C2311yescharacteristic
252C2×C3×C42C2311yescharacteristic
253C2×C3×C42C2311yescharacteristic
254C2×C3×C42C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C4×#67—24no—
261C2×(C2×D3)⋊C4C2311yescharacteristic
262C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
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#895—42no—
326#894—24no—
327#894—24no—
328#894—42no—
329#889—42no—
330C42×D3—42no—
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
383C2×#126C2×D311yescharacteristic
384C2×#125—31no—
385C2×#123—31no—
386C2×#123—31no—
387C2×#123—31no—
388C2×#121—31no—
389C2×C4×D4—31no—
390C2×#117C2×D311yescharacteristic
391C22×C42—31no—
392#401—31no—
393#400—31no—
394#400—31no—
395#400—31no—
396#400—31no—
397#400—31no—
398#400—31no—
399#400—31no—
400#400—31no—
401#399—31no—
402#398—31no—
403#398—31no—
404#398—31no—
405#398—31no—
406#398C2×D311yescharacteristic
407#398C2×D311yescharacteristic
408#397—31no—
409#397—31no—
410#397—31no—
411#397—31no—
412#397—31no—
413#397—31no—
414#397—31no—
415#397—31no—
416#397—31no—
417#397—31no—
418#397—31no—
419#397C2×D311yescharacteristic
420#397C2×D311yescharacteristic
421#396—31no—
422#396—31no—
423#396—31no—
424#396—31no—
425#396—31no—
426#396—31no—
427#396—31no—
428#394—31no—
429#394—31no—
430#394—31no—
431#394—31no—
432#394—31no—
433#394—31no—
434#394—31no—
435#394—31no—
436#394—31no—
437#392—31no—
438#392—31no—
439#392—31no—
440#390—31no—
441#390—31no—
442#390—31no—
443#390—31no—
444#390—31no—
445#390—31no—
446#389—31no—
447#389—31no—
448#389—31no—
449#389—31no—
450#389—31no—
451#389—31no—
452#389—31no—
453#389—31no—
454#389C2×D311yescharacteristic
455#389C2×D311yescharacteristic
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#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388C2×D311yescharacteristic
479#387—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387C2×D311yescharacteristic
496#387C2×D311yescharacteristic
497#387C2×D311yescharacteristic
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#385—31no—
510#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385C2×D311yescharacteristic
519#385C2×D311yescharacteristic
520#383—31no—
521#383—31no—
522#383—31no—
523#382—31no—
524#381—31no—
525#380—31no—
526#380—31no—
527#380—31no—
528#380—31no—
529#380—31no—
530C4×C4⋊C4—31no—
531C4×C4⋊C4—31no—
532C4×C4⋊C4C2×D311yescharacteristic
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4—31no—
536C4×C22⋊C4—31no—
537#376—31no—
538C24×C3C2411yescharacteristic
539C23×D3C2411yescharacteristic
540C23×D3C2411yescharacteristic
541C23×D3C2411yescharacteristic
542C22×C3×C4—22no—
543C22×C3×C4—41no—
544C22×C3×C4—41no—
545C22×C3×C4C2411yescharacteristic
546C22×C3×C4C2411yescharacteristic
547C22×C3×C4C2411yescharacteristic
548C22×C3×C4C2411yescharacteristic
549C22×C3×C4C2411yescharacteristic
550C22×C3×C4C2411yescharacteristic
551C22×C3×C4C2411yescharacteristic
552C22×C3×C4C2411yescharacteristic
553C22×C3×C4C2411yescharacteristic
554C22×C3×C4C2411yescharacteristic
555C22×C3×C4C2411yescharacteristic
556C22×C3×C4C2411yescharacteristic
557C22×C3×C4C2411yescharacteristic
558C22×C3×C4C2411yescharacteristic
559C2×#67—22no—
560C2×#67—41no—
561C2×#67—41no—
562C2×#67—41no—
563C2×#67—41no—
564C2×#67—41no—
565C2×#67—41no—
566C2×#67—41no—
567C2×#67—41no—
568C22×Dic3C2411yescharacteristic
569C22×Dic3C2411yescharacteristic
570C22×Dic3C2411yescharacteristic
571C22×Dic3C2411yescharacteristic
572C22×Dic3C2411yescharacteristic
573C22×Dic3C2411yescharacteristic
574C22×Dic3C2411yescharacteristic
575C22×Dic3C2411yescharacteristic
576C22×Dic3C2411yescharacteristic
577C22×Dic3C2411yescharacteristic
578C22×Dic3C2411yescharacteristic
579C22×Dic3C2411yescharacteristic
580C22×Dic3C2411yescharacteristic
581C2×D12—22no—
582C2×D12—22no—
583C2×D12—22no—
584C2×D12—41no—
585C2×D12—41no—
586C2×D12—41no—
587C2×D12—41no—
588C2×D12—41no—
589C2×D12—41no—
590C2×C4×D3—22no—
591C2×C4×D3—41no—
592C2×C4×D3—41no—
593C2×C4×D3—41no—
594C2×C4×D3—41no—
595C2×C4×D3—41no—
596C2×C4×D3—41no—
597C2×C4×D3—41no—
598C2×C4×D3—41no—
599C2×C4×D3—41no—
600C2×C4×D3—41no—
601C2×C4×D3—41no—
602C2×C4×D3—41no—
603C2×C4×D3—41no—
604C2×C4×D3#4114yes—
605C3×C4⋊C4—22no—
606C3×C4⋊C4—22no—
607C3×C4⋊C4—22no—
608C3×C4⋊C4—22no—
609C3×C4⋊C4—22no—
610C3×C4⋊C4—41no—
611C3×C4⋊C4—41no—
612C3×C4⋊C4—41no—
613C3×C4⋊C4—41no—
614C3×C4⋊C4—41no—
615C3×C4⋊C4—41no—
616C3×C4⋊C4—41no—
617C3×C22⋊C4—22no—
618C3×C22⋊C4—41no—
619C3×C22⋊C4—41no—
620C3×C22⋊C4—41no—
621C3×C22⋊C4—41no—
622C3×C22⋊C4—41no—
623C3×C42—22no—
624C3×C42—41no—
625C3×C42—41no—
626C3×C42—41no—
627#217—22no—
628#217—41no—
629#217—41no—
630#217—41no—
631#217—41no—
632(C2×D3)⋊C4—22no—
633(C2×D3)⋊C4—22no—
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—41no—
640(C2×D3)⋊C4—41no—
641(C2×D3)⋊C4—41no—
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—
656(C2×D3)⋊C4—41no—
657(C2×D3)⋊C4—41no—
658(C2×D3)⋊C4—41no—
659(C2×D3)⋊C4—41no—
660(C2×D3)⋊C4—41no—
661(C2×D3)⋊C4—41no—
662(C2×D3)⋊C4—41no—
663C4⋊Dic3—41no—
664C4⋊Dic3—41no—
665C4⋊Dic3—41no—
666C4⋊Dic3—41no—
667C4⋊Dic3—41no—
668C4⋊Dic3—41no—
669C4⋊Dic3—41no—
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—41no—
686Dic3⋊C4—41no—
687C4×Dic3—22no—
688C4×Dic3—22no—
689C4×Dic3—41no—
690C4×Dic3—41no—
691C4×Dic3—41no—
692C4×Dic3—41no—
693C4×Dic3—41no—
694C4×Dic3—41no—
695C4×Dic3—41no—
696C22×D4—31no—
697C22×D4—31no—
698C22×D4—31no—
699C22×D4—31no—
700C22×D4—31no—
701C22×D4—31no—
702C23×C4—31no—
703C23×C4—31no—
704C23×C4—31no—
705C23×C4—31no—
706C23×C4—31no—
707C23×C4C22×D311yescharacteristic
708#126—42no—
709#125—122no—
710#123—64no—
711#123—64no—
712#123—122no—
713#121—122no—
714C4×D4—64no—
715#117—42no—
716C2×C4⋊C4—31no—
717C2×C4⋊C4—31no—
718C2×C4⋊C4—31no—
719C2×C4⋊C4—31no—
720C2×C4⋊C4—31no—
721C2×C4⋊C4—31no—
722C2×C4⋊C4—31no—
723C2×C4⋊C4—31no—
724C2×C4⋊C4—31no—
725C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
741C2×C4⋊C4C22×D311yescharacteristic
742C2×C4⋊C4C22×D311yescharacteristic
743C2×C4⋊C4C22×D311yescharacteristic
744C2×C4⋊C4C22×D311yescharacteristic
745C2×C4⋊C4C22×D311yescharacteristic
746C2×C4⋊C4C22×D311yescharacteristic
747C2×C4⋊C4C22×D311yescharacteristic
748C2×C4⋊C4C22×D311yescharacteristic
749C2×C4⋊C4C22×D311yescharacteristic
750C2×C4⋊C4C22×D311yescharacteristic
751C2×C4⋊C4C22×D311yescharacteristic
752C2×C22⋊C4—31no—
753C2×C22⋊C4—31no—
754C2×C22⋊C4—31no—
755C2×C22⋊C4—31no—
756C2×C22⋊C4—31no—
757C2×C22⋊C4—31no—
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⋊C4—31no—
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×C42—31no—
795C2×C42—31no—
796C2×C42—31no—
797C2×C42—31no—
798C2×C42—31no—
799C2×C42—31no—
800C2×C42—31no—
801C2×C42—31no—
802C2×C42—31no—
803C2×C42—122no—
804C2×C42C22×D311yescharacteristic
805C2×C42C22×D311yescharacteristic
806C2×C42C22×D311yescharacteristic
807C2×C42C22×D311yescharacteristic
808#95—31no—
809#95—31no—
810#95—31no—
811#95—31no—
812#95—31no—
813#95—31no—
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#95C22×D311yescharacteristic
849#95C22×D311yescharacteristic
850#95C22×D311yescharacteristic
851#95C22×D311yescharacteristic
852#95C22×D311yescharacteristic
853#95C22×D311yescharacteristic
854#95C22×D311yescharacteristic
855#95C22×D311yescharacteristic
856#95C22×D311yescharacteristic
857#95C22×D311yescharacteristic
858#95C22×D311yescharacteristic
859#95C22×D311yescharacteristic
860C23×C3—21no—
861C23×C3—21no—
862C23×C3—21no—
863C23×C3—21no—
864C23×C3—21no—
865C23×C3—21no—
866C23×C3—21no—
867C23×C3C2511yescharacteristic
868C22×D3—21no—
869C22×D3—21no—
870C22×D3—21no—
871C22×D3—21no—
872C22×D3—21no—
873C22×D3—21no—
874C22×D3—21no—
875C22×D3—21no—
876C22×D3—21no—
877C22×D3—21no—
878C22×D3—21no—
879C22×D3—21no—
880C22×D3—21no—
881C22×D3—21no—
882C22×D3—21no—
883C22×D3—21no—
884C22×D3—21no—
885C22×D3—21no—
886C22×D3—21no—
887C22×D3—21no—
888C22×D3C2×#4112yes—
889C2×C3×C4—21no—
890C2×C3×C4—21no—
891C2×C3×C4—21no—
892C2×C3×C4—21no—
893C2×C3×C4—21no—
894C2×C3×C4—21no—
895C2×C3×C4—21no—
896C2×C3×C4—21no—
897C2×C3×C4—21no—
898C2×C3×C4—21no—
899C2×C3×C4—21no—
900C2×C3×C4—21no—
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—44no—
930C2×C3×C4C2×#4112yes—
931C2×C3×C4H(5,𝔽2)12yes—
932#67—44no—
933#67—82no—
934#67—82no—
935C2×Dic3—21no—
936C2×Dic3—21no—
937C2×Dic3—21no—
938C2×Dic3—21no—
939C2×Dic3—21no—
940C2×Dic3—21no—
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×Dic3C2×#4112yes—
974D12—82no—
975D12—82no—
976D12—82no—
977C4×D3—44no—
978C4×D3—44no—
979C4×D3—44no—
980C4×D3—82no—
981C4×D3—82no—
982C24—31no—
983C24—31no—
984C24—31no—
985C24C23×D311yescharacteristic
986C2×D4—62no—
987C2×D4—62no—
988C2×D4—62no—
989C2×D4—62no—
990C2×D4—121no—
991C2×D4—121no—
992C2×D4—121no—
993C2×D4—121no—
994C2×D4—121no—
995C2×D4—121no—
996C2×D4—121no—
997C2×D4—121no—
998C2×D4—121no—
999C2×D4—121no—
1000C2×D4—121no—
1001C2×D4—121no—
1002C2×D4—121no—
1003C2×D4—121no—
1004C22×C4—22no—
1005C22×C4—31no—
1006C22×C4—34no—
1007C22×C4—31no—
1008C22×C4—31no—
1009C22×C4—31no—
1010C22×C4—31no—
1011C22×C4—31no—
1012C22×C4—31no—
1013C22×C4—31no—
1014C22×C4—31no—
1015C22×C4—31no—
1016C22×C4—31no—
1017C22×C4—31no—
1018C22×C4—31no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—62no—
1022C22×C4—121no—
1023C22×C4—121no—
1024C22×C4—121no—
1025C22×C4—121no—
1026C22×C4—121no—
1027C22×C4—121no—
1028C22×C4—121no—
1029C22×C4—121no—
1030C22×C4—121no—
1031C22×C4—121no—
1032C22×C4—121no—
1033C22×C4—121no—
1034C22×C4—121no—
1035C22×C4C23×D311yescharacteristic
1036C22×C4C23×D311yescharacteristic
1037C22×C4C23×D311yescharacteristic
1038C22×C4C23×D311yescharacteristic
1039C22×C4C23×D311yescharacteristic
1040C22×C4C23×D311yescharacteristic
1041C22×C4C23×D311yescharacteristic
1042C22×C4C23×D311yescharacteristic
1043C22×C4C23×D311yescharacteristic
1044C22×C4C23×D311yescharacteristic
1045C22×C4C23×D311yescharacteristic
1046C22×C4C23×D311yescharacteristic
1047C22×C4C23×D311yescharacteristic
1048C22×C4C23×D311yescharacteristic
1049C4⋊C4—22no—
1050C4⋊C4—22no—
1051C4⋊C4—22no—
1052C4⋊C4—22no—
1053C4⋊C4—22no—
1054C4⋊C4—41no—
1055C4⋊C4—41no—
1056C4⋊C4—41no—
1057C4⋊C4—41no—
1058C4⋊C4—41no—
1059C4⋊C4—41no—
1060C4⋊C4—41no—
1061C4⋊C4—62no—
1062C4⋊C4—62no—
1063C4⋊C4—62no—
1064C4⋊C4—62no—
1065C4⋊C4—121no—
1066C4⋊C4—121no—
1067C4⋊C4—121no—
1068C4⋊C4—121no—
1069C4⋊C4—121no—
1070C4⋊C4—121no—
1071C4⋊C4—121no—
1072C4⋊C4—121no—
1073C4⋊C4—121no—
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—
1085C22⋊C4—22no—
1086C22⋊C4—41no—
1087C22⋊C4—41no—
1088C22⋊C4—41no—
1089C22⋊C4—41no—
1090C22⋊C4—41no—
1091C22⋊C4—62no—
1092C22⋊C4—62no—
1093C22⋊C4—62no—
1094C22⋊C4—62no—
1095C22⋊C4—62no—
1096C22⋊C4—62no—
1097C22⋊C4—62no—
1098C22⋊C4—62no—
1099C22⋊C4—121no—
1100C22⋊C4—121no—
1101C22⋊C4—121no—
1102C22⋊C4—121no—
1103C22⋊C4—121no—
1104C22⋊C4—121no—
1105C22⋊C4—121no—
1106C22⋊C4—121no—
1107C22⋊C4—121no—
1108C22⋊C4—121no—
1109C22⋊C4—121no—
1110C22⋊C4—121no—
1111C22⋊C4—121no—
1112C22⋊C4—121no—
1113C22⋊C4—121no—
1114C22⋊C4—121no—
1115C22⋊C4—121no—
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—
1127C42—22no—
1128C42—41no—
1129C42—41no—
1130C42—41no—
1131C42—62no—
1132C42—62no—
1133C42—121no—
1134C42—121no—
1135C42—121no—
1136C42—121no—
1137C42—121no—
1138C42—121no—
1139C42—121no—
1140C22×C3—41no—
1141C22×C3—41no—
1142C22×C3—41no—
1143C22×C3—41no—
1144C22×C3—41no—
1145C22×C3—41no—
1146C22×C3—41no—
1147C22×C3C22×#4111yescharacteristic
1148C22×C3C2×H(5,𝔽2)11yescharacteristic
1149C22×C3#58511yescharacteristic
1150C22×C3#58511yescharacteristic
1151C22×C3#58511yescharacteristic
1152C22×C3#58511yescharacteristic
1153C22×C3#58511yescharacteristic
1154C2×D3—22no—
1155C2×D3—22no—
1156C2×D3—22no—
1157C2×D3—41no—
1158C2×D3—41no—
1159C2×D3—41no—
1160C2×D3—41no—
1161C2×D3—41no—
1162C2×D3—41no—
1163C2×D3—41no—
1164C2×D3—41no—
1165C2×D3—41no—
1166C2×D3—41no—
1167C2×D3—41no—
1168C2×D3—41no—
1169C2×D3—41no—
1170C2×D3—41no—
1171C2×D3—41no—
1172C2×D3—41no—
1173C2×D3—41no—
1174C2×D3—41no—
1175C3×C4—22no—
1176C3×C4—22no—
1177C3×C4—41no—
1178C3×C4—41no—
1179C3×C4—41no—
1180C3×C4—41no—
1181C3×C4—41no—
1182C3×C4—41no—
1183C3×C4—41no—
1184C3×C4—41no—
1185C3×C4—41no—
1186C3×C4—41no—
1187C3×C4—41no—
1188C3×C4—41no—
1189Dic3—22no—
1190Dic3—41no—
1191Dic3—41no—
1192Dic3—41no—
1193Dic3—41no—
1194Dic3—41no—
1195Dic3—41no—
1196Dic3—41no—
1197Dic3—41no—
1198Dic3—41no—
1199Dic3—41no—
1200Dic3—41no—
1201Dic3—41no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—32no—
1210C23—61no—
1211C23—61no—
1212C23—61no—
1213C23—61no—
1214C23—61no—
1215C23—61no—
1216C23—61no—
1217C23—61no—
1218C23—61no—
1219C23—61no—
1220C23—61no—
1221C23—61no—
1222C23—61no—
1223C23—61no—
1224C23—61no—
1225C23—61no—
1226C23—61no—
1227C23—61no—
1228C23—61no—
1229C23—61no—
1230C23C24×D311yescharacteristic
1231D4—124no—
1232D4—242no—
1233D4—242no—
1234D4—242no—
1235D4—242no—
1236D4—242no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
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—32no—
1278C2×C4—44no—
1279C2×C4—61no—
1280C2×C4—61no—
1281C2×C4—61no—
1282C2×C4—61no—
1283C2×C4—61no—
1284C2×C4—61no—
1285C2×C4—61no—
1286C2×C4—61no—
1287C2×C4—61no—
1288C2×C4—61no—
1289C2×C4—61no—
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—124no—
1318C2×C4—124no—
1319C2×C4—124no—
1320C2×C4—242no—
1321C2×C4—242no—
1322C2×C4#100412yes—
1323C2×C4D3×#4112yes—
1324C2×C3—81no—
1325C2×C3#345511yescharacteristic
1326C2×C3#350511yescharacteristic
1327C2×C3#351211yescharacteristic
1328C2×C3#353311yescharacteristic
1329C2×C3#353911yescharacteristic
1330C2×C3#356611yescharacteristic
1331C2×C3#356811yescharacteristic
1332D3—42no—
1333D3—81no—
1334D3—81no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—62no—
1343C22—62no—
1344C22—62no—
1345C22—121no—
1346C22—121no—
1347C22—121no—
1348C22—121no—
1349C22—121no—
1350C22—121no—
1351C22—121no—
1352C22—121no—
1353C22—121no—
1354C22—121no—
1355C22—121no—
1356C22—121no—
1357C22—121no—
1358C22—121no—
1359C22—121no—
1360C22—121no—
1361C22—121no—
1362C22—121no—
1363C22C2×#100411yescharacteristic
1364C22C2×D3×#4111yescharacteristic
1365C22#596411yescharacteristic
1366C22#596411yescharacteristic
1367C22#596411yescharacteristic
1368C22#596811yescharacteristic
1369C22#596811yescharacteristic
1370C4—22no—
1371C4—22no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—62no—
1385C4—121no—
1386C4—121no—
1387C4—121no—
1388C4—121no—
1389C4—121no—
1390C4—121no—
1391C4—121no—
1392C4—121no—
1393C4—121no—
1394C4—121no—
1395C4—121no—
1396C4—121no—
1397C3#3677011yescharacteristic, complemented, Sylow
1398C2—81no—
1399C2—122no—
1400C2—241no—
1401C2—241no—
1402C2#8604411yescharacteristic
1403C2#8614611yescharacteristic
1404C2#8649711yescharacteristic
1405C2#8670411yescharacteristic
1406C2#8670611yescharacteristic
1407C2#8687211yescharacteristic
1408C2#8700211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2478C2
prime radical#83117C2
hypercenter#2478D3
hypocenterC3#36770
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2478

Complements

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

NH ≅ G/Ntype
1. C3×#2478C2semidirect
3. #83101C2semidirect
4. #82279C2semidirect
5. #82268C2semidirect
6. #77982C2semidirect
7. #77893C2semidirect
8. #77882C2semidirect
9. #77854C2semidirect
10. #77713C2semidirect
11. #77642C2semidirect
12. #77626C2semidirect
13. #77610C2semidirect
14. #76286C2semidirect
15. #76159C2semidirect
16. #76138C2semidirect
17. #76058C2semidirect
18. #75950C2semidirect
19. #75733C2semidirect
20. #75445C2semidirect
21. #75440C2semidirect
22. #75406C2semidirect
23. #75367C2semidirect
24. #75302C2semidirect
25. #75055C2semidirect
26. #74622C2semidirect
27. #74622C2semidirect
28. #74494C2semidirect
29. #74484C2semidirect
30. #73765C2semidirect
31. #73737C2semidirect
214. #2478D3semidirect
1397. C3#36770semidirect

Maximal subgroups

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

subgroupindex
C3×#24782
#831172
#831012
#822792
#822682
#779822
#778932
#778822
#778542
#777132
#776422
#776262
#776102
#762862
#761592
#761382
#760582
#759502
#757332
#754452
#754402
#754062
#753672
#753022
#750552
#746222
#744942
#744842
#737652
#737372
#367703