Finite Group Databasebeta

← #11042228

Subgroups — #11042228

Order 768.

1674 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2510C211yesmaximal, characteristic, complemented
2#78436C211yesmaximal, characteristic, complemented
3#78410C211yesmaximal, characteristic, complemented
4#78297C211yesmaximal, characteristic, complemented
5#78227C211yesmaximal, characteristic, complemented
6#77723C211yesmaximal, characteristic, complemented
7#77581C211yesmaximal, characteristic, complemented
8#77557C211yesmaximal, characteristic, complemented
9#77496C211yesmaximal, characteristic, complemented
10#75879C211yesmaximal, characteristic, complemented
11#75552C211yesmaximal, characteristic, complemented
12#75516C211yesmaximal, characteristic, complemented
13#75453C211yesmaximal, characteristic, complemented
14#75063C211yesmaximal, characteristic, complemented
15#74975C211yesmaximal, characteristic, complemented
16#74932C211yesmaximal, characteristic, complemented
17#74898C211yesmaximal, characteristic
18#74817C211yesmaximal, characteristic, complemented
19#74777C211yesmaximal, characteristic, complemented
20#74730C211yesmaximal, characteristic, complemented
21#74668C211yesmaximal, characteristic, complemented
22#74646C211yesmaximal, characteristic, complemented
23#74468C211yesmaximal, characteristic, complemented
24#74317C211yesmaximal, characteristic, complemented
25#74270C211yesmaximal, characteristic, complemented
26#74040C211yesmaximal, characteristic, complemented
27#73868C211yesmaximal, characteristic, complemented
28#73598C211yesmaximal, characteristic, complemented
29#73562C211yesmaximal, characteristic, complemented
30#73354C211yesmaximal, characteristic, complemented
31#73337C211yesmaximal, characteristic, complemented
32#38352—31nomaximal, Sylow
33C2×#939C2211yescharacteristic
34C2×#929C2211yescharacteristic
35C2×#929C2211yescharacteristic
36C2×C4×#67C2211yescharacteristic
37C2×#926C2211yescharacteristic
38C2×#926C2211yescharacteristic
39C2×#894C2211yescharacteristic
40C2×#883C2211yescharacteristic
41C2×#67⋊C4C2211yescharacteristic
42C2×#879C2211yescharacteristic
43C2×#876C2211yescharacteristic
44C2×C42×D3C2211yescharacteristic
45C3×#401C2211yescharacteristic
46C3×#400C2211yescharacteristic
47C3×#397C2211yescharacteristic
48C3×#397C2211yescharacteristic
49C3×#388C2211yescharacteristic
50C3×#388C2211yescharacteristic
51C3×#387C2211yescharacteristic
52C3×#386C2211yescharacteristic
53C3×#386C2211yescharacteristic
54C3×#386C2211yescharacteristic
55C3×#385C2211yescharacteristic
56C3×#383C2211yescharacteristic
57C3×#380C2211yescharacteristic
58C3×C4×C22⋊C4C2211yescharacteristic
59C2×C3×#95C2211yescharacteristic
60#5223C2211yescharacteristic
61#5222C2211yescharacteristic
62#5221C2211yescharacteristic
63#5213C2211yescharacteristic
64#5213C2211yescharacteristic
65#5213C2211yescharacteristic
66#5212C2211yescharacteristic
67#5212C2211yescharacteristic
68#5210C2211yescharacteristic
69C4×#217C2211yescharacteristic
70#4994C2211yescharacteristic
71#4994C2211yescharacteristic
72#4992C2211yescharacteristic
73#4989C2211yescharacteristic
74#4988C2211yescharacteristic
75#4986C2211yescharacteristic
76#4985C2211yescharacteristic
77#4984C2211yescharacteristic
78#4981C2211yescharacteristic
79#4980C2211yescharacteristic
80#4978C2211yescharacteristic
81#4977C2211yescharacteristic
82#4975C2211yescharacteristic
83Dic3×C4⋊C4C2211yescharacteristic
84Dic3×C4⋊C4C2211yescharacteristic
85#4961C2211yescharacteristic
86#4961C2211yescharacteristic
87#4961C2211yescharacteristic
88#4961C2211yescharacteristic
89#4960C2211yescharacteristic
90#4960C2211yescharacteristic
91#4957C2211yescharacteristic
92#4957C2211yescharacteristic
93#4957C2211yescharacteristic
94#4956C2211yescharacteristic
95#4956C2211yescharacteristic
96#4956C2211yescharacteristic
97#4956C2211yescharacteristic
98#4956C2211yescharacteristic
99#4952C2211yescharacteristic
100#4952C2211yescharacteristic
101#4951C2211yescharacteristic
102#4951C2211yescharacteristic
103#4950C2211yescharacteristic
104#4949C2211yescharacteristic
105#4948C2211yescharacteristic
106#4948C2211yescharacteristic
107#4948C2211yescharacteristic
108#4946C2211yescharacteristic
109#4945C2211yescharacteristic
110#4945C2211yescharacteristic
111#4945C2211yescharacteristic
112#4944C2211yescharacteristic
113#4944C2211yescharacteristic
114#4944C2211yescharacteristic
115#4943C2211yescharacteristic
116Dic3×C22⋊C4C2211yescharacteristic
117Dic3×C22⋊C4C2211yescharacteristic
118C4×(C2×D3)⋊C4C2211yescharacteristic
119C4×(C2×D3)⋊C4C2211yescharacteristic
120#4933C2211yescharacteristic
121#4932C2211yescharacteristic
122C4×Dic3⋊C4C2211yescharacteristic
123#4928C2211yescharacteristic
124#4677C2211yescharacteristic
125#4676C2211yescharacteristic
126#4675C2211yescharacteristic
127#4674C2211yescharacteristic
128#4674C2211yescharacteristic
129#4674C2211yescharacteristic
130#4670C2211yescharacteristic
131#4670C2211yescharacteristic
132#4670C2211yescharacteristic
133#4670C2211yescharacteristic
134#4670C2211yescharacteristic
135#4670C2211yescharacteristic
136#4669C2211yescharacteristic
137#4669C2211yescharacteristic
138#4669C2211yescharacteristic
139#4669C2211yescharacteristic
140#4668C2211yescharacteristic
141#4668C2211yescharacteristic
142#4668C2211yescharacteristic
143#4668C2211yescharacteristic
144#4668C2211yescharacteristic
145#4667C2211yescharacteristic
146#4667C2211yescharacteristic
147#4666C2211yescharacteristic
148#4666C2211yescharacteristic
149#4665C2211yescharacteristic
150#4665C2211yescharacteristic
151#4665C2211yescharacteristic
152#4664C2211yescharacteristic
153C3⋊#401C2211yescharacteristic
154#4661C2211yescharacteristic
155#4661C2211yescharacteristic
156#4661C2211yescharacteristic
157#4660C2211yescharacteristic
158#4659C2211yescharacteristic
159#4658C2211yescharacteristic
160#4657C2211yescharacteristic
161#4657C2211yescharacteristic
162#4657C2211yescharacteristic
163#4655C2211yescharacteristic
164#4655C2211yescharacteristic
165#4655C2211yescharacteristic
166#4655C2211yescharacteristic
167#4654C2211yescharacteristic
168#4654C2211yescharacteristic
169#4654C2211yescharacteristic
170#4653C2211yescharacteristic
171#4653C2211yescharacteristic
172#4653C2211yescharacteristic
173#4653C2211yescharacteristic
174#4653C2211yescharacteristic
175#4653C2211yescharacteristic
176#4652C2211yescharacteristic
177#4652C2211yescharacteristic
178#4652C2211yescharacteristic
179#4651C2211yescharacteristic
180#4650C2211yescharacteristic
181#4650C2211yescharacteristic
182#4649C2211yescharacteristic
183#4649C2211yescharacteristic
184#4649C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#2852—31no—
189#2797—31no—
190#2790—31no—
191#2778—31no—
192#2765—31no—
193#2749—31no—
194#2706—31no—
195#2706—31no—
196#2693—31no—
197#2654—31no—
198#2652—31no—
199#2601—31no—
200#2553—31no—
201#2531—31no—
202#2528—31no—
203#2524—31no—
204#2522—31no—
205#2515—31no—
206#2512—31no—
207#2510D311yescharacteristic, complemented
208#2498—31no—
209#2494—31no—
210#2476—31no—
211#2466—31no—
212#2456—31no—
213#2374—31no—
214#2359—31no—
215#2333—31no—
216#2314—31no—
217C4×#123—31no—
218#2290—31no—
219C22×C3×D4C2311yescharacteristic
220C23×C3×C4C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C2×C3×C4⋊C4C2311yescharacteristic
234C2×C3×C4⋊C4C2311yescharacteristic
235C2×C3×C4⋊C4C2311yescharacteristic
236C2×C3×C4⋊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#939—24no—
260#929—24no—
261#929—42no—
262C4×#67—24no—
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
283#926—24no—
284#926—42no—
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×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
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
328#894—24no—
329#883—24no—
330#67⋊C4—42no—
331#879—42no—
332#876—42no—
333C42×D3—42no—
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×#126—31no—
388C2×#123—31no—
389C2×#123—31no—
390C2×#123—31no—
391C2×#123—31no—
392C2×#121—31no—
393C2×C4×D4—31no—
394C2×C4×D4—31no—
395C2×#117—31no—
396C2×#117—31no—
397C22×C42—31no—
398#401—31no—
399#401C2×D311yescharacteristic
400#400—31no—
401#400—31no—
402#400—31no—
403#400—31no—
404#400—31no—
405#400C2×D311yescharacteristic
406#399—31no—
407#399—31no—
408#398—31no—
409#398—31no—
410#398—31no—
411#398—31no—
412#398—31no—
413#398—31no—
414#398—31no—
415#397—31no—
416#397—31no—
417#397—31no—
418#397—31no—
419#397—31no—
420#397—31no—
421#397—31no—
422#397C2×D311yescharacteristic
423#397C2×D311yescharacteristic
424#396—31no—
425#396—31no—
426#396—31no—
427#396—31no—
428#396—31no—
429#396—31no—
430#394—31no—
431#394—31no—
432#394—31no—
433#394—31no—
434#394—31no—
435#392—31no—
436#392—31no—
437#392—31no—
438#390—31no—
439#390—31no—
440#390—31no—
441#390—31no—
442#390—31no—
443#389—31no—
444#389—31no—
445#389—31no—
446#389—31no—
447#389—31no—
448#388—31no—
449#388—31no—
450#388—31no—
451#388—31no—
452#388—31no—
453#388—31no—
454#388—31no—
455#388—31no—
456#388—31no—
457#388—31no—
458#388—31no—
459#388—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388C2×D311yescharacteristic
467#388C2×D311yescharacteristic
468#387—31no—
469#387—31no—
470#387—31no—
471#387—31no—
472#387—31no—
473#387—31no—
474#387—31no—
475#387—31no—
476#387—31no—
477#387—31no—
478#387—31no—
479#387—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387C2×D311yescharacteristic
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#386—31no—
498#386—31no—
499#386C2×D311yescharacteristic
500#386C2×D311yescharacteristic
501#386C2×D311yescharacteristic
502#385—31no—
503#385—31no—
504#385—31no—
505#385—31no—
506#385—31no—
507#385—31no—
508#385—31no—
509#385—31no—
510#385—31no—
511#385C2×D311yescharacteristic
512#384—31no—
513#383—31no—
514#383C2×D311yescharacteristic
515#382—31no—
516#382—31no—
517#382—31no—
518#381—31no—
519#381—31no—
520#380—31no—
521#380—31no—
522#380—31no—
523#380—31no—
524#380C2×D311yescharacteristic
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×C22⋊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⋊C4C2×D311yescharacteristic
539#376—31no—
540C2×#95C2×D311yescharacteristic
541C24×C3C2411yescharacteristic
542C24×C3C2411yescharacteristic
543C23×D3C2411yescharacteristic
544C23×D3C2411yescharacteristic
545C2×C3×D4—22no—
546C2×C3×D4—41no—
547C2×C3×D4—41no—
548C22×C3×C4—22no—
549C22×C3×C4—22no—
550C22×C3×C4—22no—
551C22×C3×C4—22no—
552C22×C3×C4—41no—
553C22×C3×C4—41no—
554C22×C3×C4—41no—
555C22×C3×C4—41no—
556C22×C3×C4—41no—
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
567C22×C3×C4C2411yescharacteristic
568C22×C3×C4C2411yescharacteristic
569C22×C3×C4C2411yescharacteristic
570C2×#67—22no—
571C2×#67—22no—
572C2×#67—22no—
573C2×#67—22no—
574C2×#67—22no—
575C2×#67—41no—
576C2×#67—41no—
577C2×#67—41no—
578C2×#67—41no—
579C2×#67—41no—
580C2×#67—41no—
581C2×#67—41no—
582C22×Dic3—22no—
583C22×Dic3—41no—
584C22×Dic3—41no—
585C22×Dic3C2411yescharacteristic
586C22×Dic3C2411yescharacteristic
587C22×Dic3C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C2×D12—22no—
600C2×D12—41no—
601C2×D12—41no—
602C2×C4×D3—22no—
603C2×C4×D3—22no—
604C2×C4×D3—22no—
605C2×C4×D3—22no—
606C2×C4×D3—41no—
607C2×C4×D3—41no—
608C2×C4×D3—41no—
609C2×C4×D3—41no—
610C2×C4×D3—41no—
611C2×C4×D3—41no—
612C2×C4×D3—41no—
613C2×C4×D3—41no—
614C3×C4⋊C4—22no—
615C3×C4⋊C4—41no—
616C3×C4⋊C4—41no—
617C3×C4⋊C4—41no—
618C3×C22⋊C4—22no—
619C3×C22⋊C4—22no—
620C3×C22⋊C4—41no—
621C3×C22⋊C4—41no—
622C3×C22⋊C4—41no—
623C3×C22⋊C4—41no—
624C3×C22⋊C4—41no—
625C3×C22⋊C4—41no—
626C3×C22⋊C4—41no—
627C3×C42—22no—
628C3×C42—41no—
629#217—22no—
630#217—22no—
631#217—22no—
632#217—41no—
633#217—41no—
634#217—41no—
635#217—41no—
636#217—41no—
637#217—41no—
638#217—41no—
639#217#4114yes—
640(C2×D3)⋊C4—22no—
641(C2×D3)⋊C4—22no—
642(C2×D3)⋊C4—22no—
643(C2×D3)⋊C4—22no—
644(C2×D3)⋊C4—22no—
645(C2×D3)⋊C4—22no—
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#4114yes—
660C4⋊Dic3—22no—
661C4⋊Dic3—22no—
662C4⋊Dic3—22no—
663C4⋊Dic3—41no—
664C4⋊Dic3—41no—
665C4⋊Dic3—41no—
666C4⋊Dic3—41no—
667C4⋊Dic3—41no—
668C4⋊Dic3—41no—
669C4⋊Dic3—41no—
670C4⋊Dic3—41no—
671C4⋊Dic3—41no—
672Dic3⋊C4—22no—
673Dic3⋊C4—22no—
674Dic3⋊C4—22no—
675Dic3⋊C4—22no—
676Dic3⋊C4—22no—
677Dic3⋊C4—22no—
678Dic3⋊C4—22no—
679Dic3⋊C4—22no—
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—
689Dic3⋊C4—41no—
690C4×Dic3—22no—
691C4×Dic3—22no—
692C4×Dic3—22no—
693C4×Dic3—22no—
694C4×Dic3—22no—
695C4×Dic3—41no—
696C4×Dic3—41no—
697C4×Dic3—41no—
698C4×Dic3—41no—
699C4×Dic3—41no—
700C4×Dic3—41no—
701C4×Dic3—41no—
702C4×Dic3—41no—
703C22×D4—31no—
704C22×D4—31no—
705C22×D4—31no—
706C22×D4—31no—
707C22×D4—31no—
708C22×D4C22×D311yescharacteristic
709C23×C4—31no—
710C23×C4—31no—
711C23×C4—31no—
712C23×C4—31no—
713C23×C4—31no—
714C23×C4C22×D311yescharacteristic
715C23×C4C22×D311yescharacteristic
716C23×C4C22×D311yescharacteristic
717#126—122no—
718#126—122no—
719#123—64no—
720#123—64no—
721#123—64no—
722#123—122no—
723#121—64no—
724C4×D4—64no—
725C4×D4—122no—
726#117—64no—
727#117—122no—
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⋊C4—31no—
757C2×C4⋊C4—31no—
758C2×C4⋊C4C22×D311yescharacteristic
759C2×C4⋊C4C22×D311yescharacteristic
760C2×C4⋊C4C22×D311yescharacteristic
761C2×C4⋊C4C22×D311yescharacteristic
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⋊C4C22×D311yescharacteristic
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×C42—31no—
803C2×C42—31no—
804C2×C42—31no—
805C2×C42—31no—
806C2×C42—31no—
807C2×C42—31no—
808C2×C42—31no—
809C2×C42—31no—
810C2×C42—31no—
811C2×C42—31no—
812C2×C42—31no—
813C2×C42—31no—
814C2×C42—31no—
815C2×C42—122no—
816C2×C42C22×D311yescharacteristic
817C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
855#95C22×D311yescharacteristic
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×C3C2×#4112yes—
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×D3C2×#4112yes—
899C3×D4—82no—
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—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—44no—
938C2×C3×C4—44no—
939C2×C3×C4—82no—
940C2×C3×C4C2×#4112yes—
941C2×C3×C4H(5,𝔽2)12yes—
942#67—44no—
943#67—44no—
944#67—82no—
945#67—82no—
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—82no—
986C2×Dic3C2×#4112yes—
987C2×Dic3C2×#4112yes—
988C2×Dic3C2×#4112yes—
989D12—82no—
990C4×D3—44no—
991C4×D3—44no—
992C4×D3—44no—
993C4×D3—82no—
994C24—31no—
995C24—31no—
996C24C23×D311yescharacteristic
997C24C23×D311yescharacteristic
998C2×D4—22no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—62no—
1002C2×D4—62no—
1003C2×D4—62no—
1004C2×D4—62no—
1005C2×D4—62no—
1006C2×D4—62no—
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—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
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—31no—
1031C22×C4—31no—
1032C22×C4—31no—
1033C22×C4—31no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—62no—
1040C22×C4—62no—
1041C22×C4—62no—
1042C22×C4—62no—
1043C22×C4—62no—
1044C22×C4—121no—
1045C22×C4—121no—
1046C22×C4—121no—
1047C22×C4—121no—
1048C22×C4—121no—
1049C22×C4—121no—
1050C22×C4—121no—
1051C22×C4—121no—
1052C22×C4—121no—
1053C22×C4—121no—
1054C22×C4C23×D311yescharacteristic
1055C22×C4C23×D311yescharacteristic
1056C22×C4C23×D311yescharacteristic
1057C22×C4C23×D311yescharacteristic
1058C22×C4C23×D311yescharacteristic
1059C22×C4C23×D311yescharacteristic
1060C22×C4C23×D311yescharacteristic
1061C22×C4C23×D311yescharacteristic
1062C22×C4C23×D311yescharacteristic
1063C22×C4C23×D311yescharacteristic
1064C22×C4C23×D311yescharacteristic
1065C22×C4C23×D311yescharacteristic
1066C22×C4C23×D311yescharacteristic
1067C4⋊C4—22no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—62no—
1072C4⋊C4—62no—
1073C4⋊C4—62no—
1074C4⋊C4—62no—
1075C4⋊C4—62no—
1076C4⋊C4—62no—
1077C4⋊C4—62no—
1078C4⋊C4—62no—
1079C4⋊C4—62no—
1080C4⋊C4—62no—
1081C4⋊C4—62no—
1082C4⋊C4—121no—
1083C4⋊C4—121no—
1084C4⋊C4—121no—
1085C4⋊C4—121no—
1086C4⋊C4—121no—
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—
1101C22⋊C4—22no—
1102C22⋊C4—22no—
1103C22⋊C4—34no—
1104C22⋊C4—34no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—62no—
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—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—
1134C22⋊C4—121no—
1135C22⋊C4—121no—
1136C22⋊C4—121no—
1137C22⋊C4—121no—
1138C22⋊C4—121no—
1139C22⋊C4—121no—
1140C22⋊C4—121no—
1141C42—22no—
1142C42—41no—
1143C42—62no—
1144C42—62no—
1145C42—62no—
1146C42—62no—
1147C42—62no—
1148C42—121no—
1149C42—121no—
1150C42—121no—
1151C42—121no—
1152C42—121no—
1153C42—121no—
1154C42—121no—
1155C42—121no—
1156C22×C3—22no—
1157C22×C3—22no—
1158C22×C3—22no—
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×C3—41no—
1168C22×C3—41no—
1169C22×C3—41no—
1170C22×C3C22×#4111yescharacteristic
1171C22×C3C22×#4111yescharacteristic
1172C22×C3C2×H(5,𝔽2)11yescharacteristic
1173C22×C3#58511yescharacteristic
1174C22×C3#58511yescharacteristic
1175C22×C3#58511yescharacteristic
1176C22×C3#58511yescharacteristic
1177C2×D3—22no—
1178C2×D3—22no—
1179C2×D3—22no—
1180C2×D3—41no—
1181C2×D3—41no—
1182C2×D3—41no—
1183C2×D3—41no—
1184C2×D3—41no—
1185C2×D3—41no—
1186C2×D3—41no—
1187C2×D3—41no—
1188C2×D3—41no—
1189C2×D3—41no—
1190C2×D3—41no—
1191C3×C4—22no—
1192C3×C4—22no—
1193C3×C4—41no—
1194C3×C4—41no—
1195C3×C4—41no—
1196C3×C4—41no—
1197C3×C4—41no—
1198C3×C4—41no—
1199C3×C4—41no—
1200C3×C4—41no—
1201C3×C4—41no—
1202C3×C4—41no—
1203C3×C4—41no—
1204Dic3—22no—
1205Dic3—22no—
1206Dic3—22no—
1207Dic3—41no—
1208Dic3—41no—
1209Dic3—41no—
1210Dic3—41no—
1211Dic3—41no—
1212Dic3—41no—
1213Dic3—41no—
1214Dic3—41no—
1215Dic3—41no—
1216Dic3—41no—
1217Dic3—41no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—32no—
1232C23—61no—
1233C23—61no—
1234C23—61no—
1235C23—61no—
1236C23—61no—
1237C23—61no—
1238C23—61no—
1239C23—61no—
1240C23—61no—
1241C23—61no—
1242C23—61no—
1243C23—61no—
1244C23—61no—
1245C23D3×#4112yes—
1246C23C24×D311yescharacteristic
1247D4—82no—
1248D4—124no—
1249D4—124no—
1250D4—242no—
1251D4—242no—
1252D4—242no—
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—21no—
1289C2×C4—21no—
1290C2×C4—32no—
1291C2×C4—32no—
1292C2×C4—32no—
1293C2×C4—44no—
1294C2×C4—44no—
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—82no—
1335C2×C4—124no—
1336C2×C4—124no—
1337C2×C4—124no—
1338C2×C4—242no—
1339C2×C4—242no—
1340C2×C4D3×#4112yes—
1341C2×C4#100912yes—
1342C2×C3—42no—
1343C2×C3—81no—
1344C2×C3#346011yescharacteristic
1345C2×C3#347511yescharacteristic
1346C2×C3#351311yescharacteristic
1347C2×C3#352111yescharacteristic
1348C2×C3#352111yescharacteristic
1349C2×C3#353911yescharacteristic
1350C2×C3#356611yescharacteristic
1351D3—42no—
1352D3—81no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—62no—
1368C22—62no—
1369C22—62no—
1370C22—121no—
1371C22—121no—
1372C22—121no—
1373C22—121no—
1374C22—121no—
1375C22—121no—
1376C22—121no—
1377C22—121no—
1378C22—121no—
1379C22—121no—
1380C22—121no—
1381C22C2×D3×#4111yescharacteristic
1382C22C2×D3×#4111yescharacteristic
1383C22C2×#100911yescharacteristic
1384C22#596411yescharacteristic
1385C22#596411yescharacteristic
1386C22#596611yescharacteristic
1387C22#596611yescharacteristic
1388C4—22no—
1389C4—22no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—62no—
1402C4—62no—
1403C4—62no—
1404C4—121no—
1405C4—121no—
1406C4—121no—
1407C4—121no—
1408C4—121no—
1409C4—121no—
1410C4—121no—
1411C4—121no—
1412C4—121no—
1413C4—121no—
1414C4—121no—
1415C3#3835211yescharacteristic, complemented, Sylow
1416C2—42no—
1417C2—81no—
1418C2—122no—
1419C2—241no—
1420C2#8611611yescharacteristic
1421C2#8614811yescharacteristic
1422C2#8641111yescharacteristic
1423C2#8679011yescharacteristic
1424C2#8679511yescharacteristic
1425C2#8689011yescharacteristic
1426C2#8691711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2510C2
prime radical#74898C2
hypercenter#2510D3
hypocenterC3#38352
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. C3×#2510C2semidirect
2. #78436C2semidirect
3. #78410C2semidirect
4. #78297C2semidirect
5. #78227C2semidirect
6. #77723C2semidirect
7. #77581C2semidirect
8. #77557C2semidirect
9. #77496C2semidirect
10. #75879C2semidirect
11. #75552C2semidirect
12. #75516C2semidirect
13. #75453C2semidirect
14. #75063C2semidirect
15. #74975C2semidirect
16. #74932C2semidirect
18. #74817C2semidirect
19. #74777C2semidirect
20. #74730C2semidirect
21. #74668C2semidirect
22. #74646C2semidirect
23. #74468C2semidirect
24. #74317C2semidirect
25. #74270C2semidirect
26. #74040C2semidirect
27. #73868C2semidirect
28. #73598C2semidirect
29. #73562C2semidirect
30. #73354C2semidirect
31. #73337C2semidirect
207. #2510D3semidirect
1415. C3#38352semidirect

Maximal subgroups

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

subgroupindex
C3×#25102
#784362
#784102
#782972
#782272
#777232
#775812
#775572
#774962
#758792
#755522
#755162
#754532
#750632
#749752
#749322
#748982
#748172
#747772
#747302
#746682
#746462
#744682
#743172
#742702
#740402
#738682
#735982
#735622
#733542
#733372
#383523