Finite Group Databasebeta

← #10975138

Subgroups — #10975138

Order 768.

1764 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2530C211yesmaximal, characteristic, complemented
2#78353C211yesmaximal, characteristic, complemented
3#78350C211yesmaximal, characteristic, complemented
4#78186C211yesmaximal, characteristic, complemented
5#78134C211yesmaximal, characteristic, complemented
6#77678C211yesmaximal, characteristic, complemented
7#77528C211yesmaximal, characteristic, complemented
8#77497C211yesmaximal, characteristic, complemented
9#77483C211yesmaximal, characteristic, complemented
10#76225C211yesmaximal, characteristic, complemented
11#76043C211yesmaximal, characteristic, complemented
12#75849C211yesmaximal, characteristic
13#75847C211yesmaximal, characteristic
14#75628C211yesmaximal, characteristic, complemented
15#75522C211yesmaximal, characteristic, complemented
16#75336C211yesmaximal, characteristic, complemented
17#75315C211yesmaximal, characteristic, complemented
18#75297C211yesmaximal, characteristic, complemented
19D3×#387C211yesmaximal, characteristic, complemented
20#75092C211yesmaximal, characteristic, complemented
21#75039C211yesmaximal, characteristic, complemented
22#75035C211yesmaximal, characteristic, complemented
23#74941C211yesmaximal, characteristic, complemented
24#74593C211yesmaximal, characteristic, complemented
25#74435C211yesmaximal, characteristic, complemented
26#74023C211yesmaximal, characteristic, complemented
27#74006C211yesmaximal, characteristic, complemented
28C4×#884C211yesmaximal, characteristic
29#73522C211yesmaximal, characteristic, complemented
30#73412C211yesmaximal, characteristic, complemented
31#73402C211yesmaximal, characteristic, complemented
32#35385—31nomaximal, Sylow
33C2×C4×#67C2211yescharacteristic
34C2×C4×#67C2211yescharacteristic
35C2×#896C2211yescharacteristic
36C2×#896C2211yescharacteristic
37C2×#894C2211yescharacteristic
38C2×D3×C4⋊C4C2211yescharacteristic
39C2×D3×C4⋊C4C2211yescharacteristic
40C2×#887C2211yescharacteristic
41C2×#884C2211yescharacteristic
42C2×#883C2211yescharacteristic
43C2×#879C2211yescharacteristic
44C2×C4×D12C2211yescharacteristic
45C2×C4×D12C2211yescharacteristic
46C2×C4×D12C2211yescharacteristic
47C2×C42×D3C2211yescharacteristic
48C3×#400C2211yescharacteristic
49C3×#400C2211yescharacteristic
50C3×#397C2211yescharacteristic
51C3×#397C2211yescharacteristic
52C3×#389C2211yescharacteristic
53C3×#388C2211yescharacteristic
54C3×#388C2211yescharacteristic
55C3×#387C2211yescharacteristic
56C3×#387C2211yescharacteristic
57C3×#387C2211yescharacteristic
58C3×#387C2211yescharacteristic
59C3×#385C2211yescharacteristic
60C3×#380C2211yescharacteristic
61C3×C4×C22⋊C4C2211yescharacteristic
62C3×#376C2211yescharacteristic
63#5211C2211yescharacteristic
64#5210C2211yescharacteristic
65#4994C2211yescharacteristic
66#4993C2211yescharacteristic
67#4992C2211yescharacteristic
68#4989C2211yescharacteristic
69#4989C2211yescharacteristic
70#4989C2211yescharacteristic
71#4989C2211yescharacteristic
72#4989C2211yescharacteristic
73#4989C2211yescharacteristic
74#4989C2211yescharacteristic
75#4985C2211yescharacteristic
76#4985C2211yescharacteristic
77#4984C2211yescharacteristic
78#4982C2211yescharacteristic
79#4981C2211yescharacteristic
80#4981C2211yescharacteristic
81#4980C2211yescharacteristic
82#4978C2211yescharacteristic
83#4978C2211yescharacteristic
84#4978C2211yescharacteristic
85#4978C2211yescharacteristic
86#4978C2211yescharacteristic
87#4977C2211yescharacteristic
88Dic3×C4⋊C4C2211yescharacteristic
89#4972C2211yescharacteristic
90#4972C2211yescharacteristic
91#4961C2211yescharacteristic
92#4959C2211yescharacteristic
93#4957C2211yescharacteristic
94#4956C2211yescharacteristic
95#4956C2211yescharacteristic
96#4956C2211yescharacteristic
97#4956C2211yescharacteristic
98#4956C2211yescharacteristic
99#4956C2211yescharacteristic
100#4953C2211yescharacteristic
101#4951C2211yescharacteristic
102#4951C2211yescharacteristic
103#4948C2211yescharacteristic
104#4948C2211yescharacteristic
105#4947C2211yescharacteristic
106#4945C2211yescharacteristic
107#4945C2211yescharacteristic
108#4945C2211yescharacteristic
109#4944C2211yescharacteristic
110#4944C2211yescharacteristic
111#4944C2211yescharacteristic
112C4×(C2×D3)⋊C4C2211yescharacteristic
113C4×C4⋊Dic3C2211yescharacteristic
114C4×C4⋊Dic3C2211yescharacteristic
115C4×C4⋊Dic3C2211yescharacteristic
116#4933C2211yescharacteristic
117#4933C2211yescharacteristic
118#4933C2211yescharacteristic
119#4933C2211yescharacteristic
120#4933C2211yescharacteristic
121#4933C2211yescharacteristic
122C4×Dic3⋊C4C2211yescharacteristic
123#4928C2211yescharacteristic
124#4675C2211yescharacteristic
125#4675C2211yescharacteristic
126#4674C2211yescharacteristic
127#4670C2211yescharacteristic
128#4669C2211yescharacteristic
129#4669C2211yescharacteristic
130#4668C2211yescharacteristic
131#4668C2211yescharacteristic
132#4668C2211yescharacteristic
133#4667C2211yescharacteristic
134#4667C2211yescharacteristic
135#4667C2211yescharacteristic
136#4666C2211yescharacteristic
137#4666C2211yescharacteristic
138#4666C2211yescharacteristic
139#4666C2211yescharacteristic
140#4666C2211yescharacteristic
141#4666C2211yescharacteristic
142#4666C2211yescharacteristic
143#4665C2211yescharacteristic
144#4665C2211yescharacteristic
145#4664C2211yescharacteristic
146#4664C2211yescharacteristic
147#4664C2211yescharacteristic
148#4664C2211yescharacteristic
149D3×#95C2211yescharacteristic
150D3×#95C2211yescharacteristic
151D3×#95C2211yescharacteristic
152D3×#95C2211yescharacteristic
153D3×#95C2211yescharacteristic
154C3⋊#401C2211yescharacteristic
155#4660C2211yescharacteristic
156#4659C2211yescharacteristic
157#4659C2211yescharacteristic
158#4659C2211yescharacteristic
159#4658C2211yescharacteristic
160#4658C2211yescharacteristic
161#4658C2211yescharacteristic
162#4658C2211yescharacteristic
163#4657C2211yescharacteristic
164#4656C2211yescharacteristic
165#4655C2211yescharacteristic
166#4655C2211yescharacteristic
167#4654C2211yescharacteristic
168#4654C2211yescharacteristic
169#4654C2211yescharacteristic
170#4653C2211yescharacteristic
171#4653C2211yescharacteristic
172#4652C2211yescharacteristic
173#4652C2211yescharacteristic
174#4652C2211yescharacteristic
175#4652C2211yescharacteristic
176#4651C2211yescharacteristic
177#4651C2211yescharacteristic
178#4650C2211yescharacteristic
179#4650C2211yescharacteristic
180#4649C2211yescharacteristic
181#4649C2211yescharacteristic
182#4647C2211yescharacteristic
183#4647C2211yescharacteristic
184#4647C2211yescharacteristic
185#4647C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2595—31no—
189#2594—31no—
190#2585—31no—
191#2573—31no—
192#2533—31no—
193#2530D311yescharacteristic, complemented
194#2520—31no—
195#2517—31no—
196#2516—31no—
197#2515—31no—
198#2509—31no—
199#2505—31no—
200#2493—31no—
201#2493—31no—
202#2488—31no—
203#2481—31no—
204#2469—31no—
205#2466—31no—
206#2450—31no—
207#2449—31no—
208#2444—31no—
209#2425—31no—
210#2421—31no—
211#2419—31no—
212#2322—31no—
213#2322—31no—
214#2318—31no—
215C4×C22⋊Q8—31no—
216C4×#121—31no—
217C2×#387—31no—
218#2275—31no—
219C23×C3×C4C2311yescharacteristic
220C22×#67C2311yescharacteristic
221C22×#67C2311yescharacteristic
222C22×D12C2311yescharacteristic
223C22×C4×D3C2311yescharacteristic
224C22×C4×D3C2311yescharacteristic
225C22×C4×D3C2311yescharacteristic
226C22×C4×D3C2311yescharacteristic
227C22×C4×D3C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C22×Dic6C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C42C2311yescharacteristic
249C2×C3×C42C2311yescharacteristic
250C2×C3×C42C2311yescharacteristic
251C2×C3×C42C2311yescharacteristic
252C2×#217C2311yescharacteristic
253C2×#217C2311yescharacteristic
254C2×#217C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C4×#67—24no—
259C4×#67—42no—
260C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
277C2×C4⋊Dic3C2311yescharacteristic
278C2×C4⋊Dic3C2311yescharacteristic
279C2×C4⋊Dic3C2311yescharacteristic
280C2×C4⋊Dic3C2311yescharacteristic
281C2×C4⋊Dic3C2311yescharacteristic
282C2×C4⋊Dic3C2311yescharacteristic
283C2×C4⋊Dic3C2311yescharacteristic
284C2×Dic3⋊C4C2311yescharacteristic
285C2×Dic3⋊C4C2311yescharacteristic
286C2×Dic3⋊C4C2311yescharacteristic
287C2×Dic3⋊C4C2311yescharacteristic
288C2×Dic3⋊C4C2311yescharacteristic
289C2×Dic3⋊C4C2311yescharacteristic
290C2×Dic3⋊C4C2311yescharacteristic
291C2×Dic3⋊C4C2311yescharacteristic
292C2×Dic3⋊C4C2311yescharacteristic
293C2×Dic3⋊C4C2311yescharacteristic
294C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
305C2×C4×Dic3C2311yescharacteristic
306C2×C4×Dic3C2311yescharacteristic
307C2×C4×Dic3C2311yescharacteristic
308C2×C4×Dic3C2311yescharacteristic
309C2×C4×Dic3C2311yescharacteristic
310C2×C4×Dic3C2311yescharacteristic
311C2×C4×Dic3C2311yescharacteristic
312C2×C4×Dic3C2311yescharacteristic
313C2×C4×Dic3C2311yescharacteristic
314C2×C4×Dic3C2311yescharacteristic
315C2×C4×Dic3C2311yescharacteristic
316#896—24no—
317#896—42no—
318#894—24no—
319D3×C4⋊C4—24no—
320D3×C4⋊C4—42no—
321#887—42no—
322#884—24no—
323#883—24no—
324#879—42no—
325C4×D12—24no—
326C4×D12—24no—
327C4×D12—24no—
328C42×D3—42no—
329C3×#95C2311yescharacteristic
330C3×#95C2311yescharacteristic
331C3×#95C2311yescharacteristic
332C3×#95C2311yescharacteristic
333C3×#95C2311yescharacteristic
334C3×#95C2311yescharacteristic
335C3×#95C2311yescharacteristic
336C3×#95C2311yescharacteristic
337C3×#95C2311yescharacteristic
338C3×#95C2311yescharacteristic
339C3×#95C2311yescharacteristic
340C3×#95C2311yescharacteristic
341C3×#95C2311yescharacteristic
342C3×#95C2311yescharacteristic
343C3×#95C2311yescharacteristic
344C3×#95C2311yescharacteristic
345C3⋊#95C2311yescharacteristic
346C3⋊#95C2311yescharacteristic
347C3⋊#95C2311yescharacteristic
348C3⋊#95C2311yescharacteristic
349C3⋊#95C2311yescharacteristic
350C3⋊#95C2311yescharacteristic
351C3⋊#95C2311yescharacteristic
352C3⋊#95C2311yescharacteristic
353C3⋊#95C2311yescharacteristic
354C3⋊#95C2311yescharacteristic
355C3⋊#95C2311yescharacteristic
356C3⋊#95C2311yescharacteristic
357C3⋊#95C2311yescharacteristic
358C3⋊#95C2311yescharacteristic
359C3⋊#95C2311yescharacteristic
360C3⋊#95C2311yescharacteristic
361C3⋊#95C2311yescharacteristic
362C3⋊#95C2311yescharacteristic
363C3⋊#95C2311yescharacteristic
364C3⋊#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C2×#126—31no—
390C2×#123—31no—
391C2×#123—31no—
392C2×C22⋊Q8—31no—
393C2×C22⋊Q8—31no—
394C2×#121—31no—
395C2×C4×Q8—31no—
396C2×C4×D4—31no—
397C2×C4×D4—31no—
398C2×C4×D4—31no—
399C2×C4×D4—31no—
400C2×C4×D4—31no—
401C22×C4⋊C4—31no—
402C22×C4⋊C4—31no—
403C22×C42—31no—
404#401—31no—
405#400—31no—
406#400—31no—
407#400—31no—
408#400—31no—
409#400—31no—
410#400—31no—
411#400—31no—
412#400—31no—
413#400—31no—
414#400—31no—
415#400C2×D311yescharacteristic
416#400C2×D311yescharacteristic
417#399—31no—
418#398—31no—
419#398—31no—
420#398—31no—
421#398—31no—
422#397—31no—
423#397—31no—
424#397—31no—
425#397—31no—
426#397—31no—
427#397C2×D311yescharacteristic
428#397C2×D311yescharacteristic
429#396—31no—
430#396—31no—
431#396—31no—
432#395—31no—
433#394—31no—
434#394—31no—
435#393—31no—
436#391—31no—
437#391—31no—
438#390—31no—
439#389—31no—
440#389—31no—
441#389—31no—
442#389—31no—
443#389—31no—
444#389—31no—
445#389—31no—
446#389—31no—
447#389C2×D311yescharacteristic
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#388C2×D311yescharacteristic
460#388C2×D311yescharacteristic
461#387—31no—
462#387—31no—
463#387—31no—
464#387—31no—
465#387—31no—
466#387—31no—
467#387—31no—
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#387C2×D311yescharacteristic
485#387C2×D311yescharacteristic
486#387C2×D311yescharacteristic
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#385—31no—
497#385—31no—
498#385—31no—
499#385—31no—
500#385—31no—
501#385—31no—
502#385—31no—
503#385—31no—
504#385—31no—
505#385—31no—
506#385—31no—
507#385C2×D311yescharacteristic
508#383—31no—
509#383—31no—
510#382—31no—
511#382—31no—
512#382—31no—
513#381—31no—
514#381—31no—
515#381—31no—
516#381—31no—
517#381—31no—
518#380—31no—
519#380—31no—
520#380—31no—
521#380C2×D311yescharacteristic
522C4×C4⋊C4—31no—
523C4×C4⋊C4—31no—
524C4×C4⋊C4—31no—
525C4×C4⋊C4—31no—
526C4×C4⋊C4—31no—
527C4×C4⋊C4—31no—
528C4×C4⋊C4—31no—
529C4×C22⋊C4—31no—
530C4×C22⋊C4—31no—
531C4×C22⋊C4—31no—
532C4×C22⋊C4—31no—
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4—31no—
536C4×C22⋊C4—31no—
537C4×C22⋊C4C2×D311yescharacteristic
538#376C2×D311yescharacteristic
539C2×#95—31no—
540C2×#95—31no—
541C2×#95—31no—
542C2×#95—31no—
543C2×#95—31no—
544C24×C3C2411yescharacteristic
545C23×D3C2411yescharacteristic
546C23×D3C2411yescharacteristic
547C22×C3×C4—22no—
548C22×C3×C4—41no—
549C22×C3×C4—41no—
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
559C22×C3×C4C2411yescharacteristic
560C22×C3×C4C2411yescharacteristic
561C22×C3×C4C2411yescharacteristic
562C22×C3×C4C2411yescharacteristic
563C22×C3×C4C2411yescharacteristic
564C2×#67—22no—
565C2×#67—22no—
566C2×#67—22no—
567C2×#67—22no—
568C2×#67—22no—
569C2×#67—41no—
570C22×Dic3C2411yescharacteristic
571C22×Dic3C2411yescharacteristic
572C22×Dic3C2411yescharacteristic
573C22×Dic3C2411yescharacteristic
574C22×Dic3C2411yescharacteristic
575C22×Dic3C2411yescharacteristic
576C22×Dic3C2411yescharacteristic
577C22×Dic3C2411yescharacteristic
578C22×Dic3C2411yescharacteristic
579C22×Dic3C2411yescharacteristic
580C22×Dic3C2411yescharacteristic
581C22×Dic3C2411yescharacteristic
582C22×Dic3C2411yescharacteristic
583C22×Dic3C2411yescharacteristic
584C2×D12—22no—
585C2×D12—22no—
586C2×D12#4114yes—
587C2×C4×D3—22no—
588C2×C4×D3—22no—
589C2×C4×D3—22no—
590C2×C4×D3—22no—
591C2×C4×D3—22no—
592C2×C4×D3—22no—
593C2×C4×D3—22no—
594C2×C4×D3—22no—
595C2×C4×D3—22no—
596C2×C4×D3—22no—
597C2×C4×D3—22no—
598C2×C4×D3—22no—
599C2×C4×D3—22no—
600C2×C4×D3—41no—
601C2×C4×D3—41no—
602C2×C4×D3—41no—
603C2×C4×D3—41no—
604C2×C4×D3—41no—
605C2×C4×D3—41no—
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—
614C2×C4×D3—41no—
615C2×C4×D3—41no—
616C2×C4×D3#4114yes—
617C2×Dic6—22no—
618C2×Dic6—22no—
619C2×Dic6—41no—
620C3×C4⋊C4—22no—
621C3×C4⋊C4—22no—
622C3×C4⋊C4—22no—
623C3×C4⋊C4—41no—
624C3×C4⋊C4—41no—
625C3×C4⋊C4—41no—
626C3×C4⋊C4—41no—
627C3×C4⋊C4—41no—
628C3×C22⋊C4—22no—
629C3×C22⋊C4—22no—
630C3×C22⋊C4—41no—
631C3×C22⋊C4—41no—
632C3×C22⋊C4—41no—
633C3×C22⋊C4—41no—
634C3×C42—22no—
635C3×C42—22no—
636C3×C42—22no—
637C3×C42—41no—
638#217—22no—
639#217—22no—
640#217—22no—
641#217—41no—
642#217—41no—
643#217—41no—
644(C2×D3)⋊C4—22no—
645(C2×D3)⋊C4—22no—
646(C2×D3)⋊C4—22no—
647(C2×D3)⋊C4—22no—
648(C2×D3)⋊C4—22no—
649(C2×D3)⋊C4—22no—
650(C2×D3)⋊C4—22no—
651(C2×D3)⋊C4—22no—
652(C2×D3)⋊C4—22no—
653(C2×D3)⋊C4—22no—
654(C2×D3)⋊C4—22no—
655(C2×D3)⋊C4—22no—
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—22no—
664C4⋊Dic3—22no—
665C4⋊Dic3—22no—
666C4⋊Dic3—22no—
667C4⋊Dic3—41no—
668Dic3⋊C4—22no—
669Dic3⋊C4—22no—
670Dic3⋊C4—22no—
671Dic3⋊C4—22no—
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—
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—
700C22×Q8—31no—
701C22×D4—31no—
702C22×D4—31no—
703C22×D4—31no—
704C23×C4—31no—
705C23×C4—31no—
706C23×C4—31no—
707C23×C4—31no—
708C23×C4—31no—
709C23×C4—31no—
710C23×C4—31no—
711C23×C4—31no—
712C23×C4—31no—
713C23×C4—31no—
714C23×C4C22×D311yescharacteristic
715#126—122no—
716#123—64no—
717#123—64no—
718C22⋊Q8—64no—
719C22⋊Q8—122no—
720#121—64no—
721C4×Q8—122no—
722C4×D4—64no—
723C4×D4—64no—
724C4×D4—64no—
725C4×D4—64no—
726C4×D4—122no—
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—64no—
756C2×C4⋊C4—122no—
757C2×C4⋊C4C22×D311yescharacteristic
758C2×C4⋊C4C22×D311yescharacteristic
759C2×C4⋊C4C22×D311yescharacteristic
760C2×C4⋊C4C22×D311yescharacteristic
761C2×C4⋊C4C22×D311yescharacteristic
762C2×C4⋊C4C22×D311yescharacteristic
763C2×C4⋊C4C22×D311yescharacteristic
764C2×C4⋊C4C22×D311yescharacteristic
765C2×C22⋊C4—31no—
766C2×C22⋊C4—31no—
767C2×C22⋊C4—31no—
768C2×C22⋊C4—31no—
769C2×C22⋊C4—31no—
770C2×C22⋊C4—31no—
771C2×C22⋊C4—31no—
772C2×C22⋊C4—31no—
773C2×C22⋊C4—31no—
774C2×C22⋊C4—31no—
775C2×C22⋊C4—31no—
776C2×C22⋊C4—31no—
777C2×C22⋊C4—31no—
778C2×C22⋊C4—31no—
779C2×C22⋊C4—31no—
780C2×C22⋊C4—31no—
781C2×C22⋊C4—31no—
782C2×C22⋊C4—31no—
783C2×C22⋊C4—31no—
784C2×C22⋊C4—31no—
785C2×C22⋊C4—31no—
786C2×C22⋊C4—31no—
787C2×C22⋊C4C22×D311yescharacteristic
788C2×C22⋊C4C22×D311yescharacteristic
789C2×C22⋊C4C22×D311yescharacteristic
790C2×C22⋊C4C22×D311yescharacteristic
791C2×C22⋊C4C22×D311yescharacteristic
792C2×C22⋊C4C22×D311yescharacteristic
793C2×C42—31no—
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—31no—
804C2×C42—31no—
805C2×C42—122no—
806C2×C42C22×D311yescharacteristic
807C2×C42C22×D311yescharacteristic
808C2×C42C22×D311yescharacteristic
809C2×C42C22×D311yescharacteristic
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#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×C3C2511yescharacteristic
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—
889C22×D3C2×#4112yes—
890C22×D3C2×#4112yes—
891C22×D3C2×#4112yes—
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—21no—
930C2×C3×C4—21no—
931C2×C3×C4—82no—
932C2×C3×C4C2×#4112yes—
933C2×C3×C4C2×#4112yes—
934C2×C3×C4C2×#4112yes—
935#67—44no—
936#67—44no—
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×Dic3—21no—
974C2×Dic3—21no—
975C2×Dic3C2×#4112yes—
976C2×Dic3C2×#4112yes—
977C2×Dic3H(5,𝔽2)12yes—
978C2×Dic32−1+412yes—
979D12—28no—
980C4×D3—44no—
981C4×D3—44no—
982C4×D3—44no—
983C4×D3—44no—
984C4×D3—44no—
985C4×D3—82no—
986C4×D3—82no—
987C4×D3—82no—
988C4×D3—82no—
989C4×D3—82no—
990Dic6—44no—
991C24—31no—
992C24—31no—
993C24C23×D311yescharacteristic
994C2×Q8—62no—
995C2×Q8—62no—
996C2×Q8—121no—
997C2×D4—34no—
998C2×D4—62no—
999C2×D4—62no—
1000C2×D4—62no—
1001C2×D4—62no—
1002C2×D4—62no—
1003C2×D4—62no—
1004C2×D4—62no—
1005C2×D4—121no—
1006C22×C4—22no—
1007C22×C4—31no—
1008C22×C4—31no—
1009C22×C4—31no—
1010C22×C4—31no—
1011C22×C4—34no—
1012C22×C4—31no—
1013C22×C4—31no—
1014C22×C4—31no—
1015C22×C4—31no—
1016C22×C4—31no—
1017C22×C4—31no—
1018C22×C4—31no—
1019C22×C4—31no—
1020C22×C4—31no—
1021C22×C4—31no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—62no—
1025C22×C4—62no—
1026C22×C4—62no—
1027C22×C4—62no—
1028C22×C4—62no—
1029C22×C4—62no—
1030C22×C4—62no—
1031C22×C4—62no—
1032C22×C4—62no—
1033C22×C4—62no—
1034C22×C4—62no—
1035C22×C4—62no—
1036C22×C4—62no—
1037C22×C4—121no—
1038C22×C4—121no—
1039C22×C4—121no—
1040C22×C4—121no—
1041C22×C4—121no—
1042C22×C4—121no—
1043C22×C4—121no—
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×C4C23×D311yescharacteristic
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—22no—
1069C4⋊C4—22no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—41no—
1074C4⋊C4—41no—
1075C4⋊C4—62no—
1076C4⋊C4—62no—
1077C4⋊C4—62no—
1078C4⋊C4—62no—
1079C4⋊C4—62no—
1080C4⋊C4—62no—
1081C4⋊C4—62no—
1082C4⋊C4—62no—
1083C4⋊C4—62no—
1084C4⋊C4—62no—
1085C4⋊C4—62no—
1086C4⋊C4—62no—
1087C4⋊C4—62no—
1088C4⋊C4—62no—
1089C4⋊C4—62no—
1090C4⋊C4—62no—
1091C4⋊C4—62no—
1092C4⋊C4—62no—
1093C4⋊C4—62no—
1094C4⋊C4—121no—
1095C4⋊C4—121no—
1096C4⋊C4—121no—
1097C4⋊C4—121no—
1098C4⋊C4—121no—
1099C4⋊C4—121no—
1100C4⋊C4—121no—
1101C4⋊C4—121no—
1102C4⋊C4—121no—
1103C22⋊C4—22no—
1104C22⋊C4—22no—
1105C22⋊C4—34no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—41no—
1110C22⋊C4—62no—
1111C22⋊C4—62no—
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—62no—
1122C22⋊C4—62no—
1123C22⋊C4—62no—
1124C22⋊C4—62no—
1125C22⋊C4—121no—
1126C22⋊C4—121no—
1127C22⋊C4—121no—
1128C22⋊C4—121no—
1129C22⋊C4—121no—
1130C22⋊C4—121no—
1131C42—22no—
1132C42—22no—
1133C42—22no—
1134C42—41no—
1135C42—62no—
1136C42—62no—
1137C42—62no—
1138C42—121no—
1139C42—121no—
1140C42—121no—
1141C42—121no—
1142C42—121no—
1143C42—121no—
1144C42—121no—
1145C42—121no—
1146C42—121no—
1147C22×C3—41no—
1148C22×C3—41no—
1149C22×C3—41no—
1150C22×C3—41no—
1151C22×C3—41no—
1152C22×C3—41no—
1153C22×C3—41no—
1154C22×C3C22×#4111yescharacteristic
1155C22×C3C22×#4111yescharacteristic
1156C22×C3C22×#4111yescharacteristic
1157C22×C3C2×H(5,𝔽2)11yescharacteristic
1158C22×C3C2×2−1+411yescharacteristic
1159C22×C3#58511yescharacteristic
1160C22×C3#58511yescharacteristic
1161C2×D3—22no—
1162C2×D3—22no—
1163C2×D3—22no—
1164C2×D3—22no—
1165C2×D3—22no—
1166C2×D3—22no—
1167C2×D3—22no—
1168C2×D3—22no—
1169C2×D3—22no—
1170C2×D3—41no—
1171C2×D3—41no—
1172C2×D3—41no—
1173C2×D3—41no—
1174C2×D3#52914yes—
1175C3×C4—22no—
1176C3×C4—22no—
1177C3×C4—22no—
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—22no—
1191Dic3—22no—
1192Dic3—22no—
1193Dic3—41no—
1194Dic3—41no—
1195Dic3—41no—
1196Dic3—41no—
1197Dic3—41no—
1198Dic3—41no—
1199Dic3—41no—
1200Dic3—41no—
1201Dic3—41no—
1202Dic3—41no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—32no—
1211C23—32no—
1212C23—32no—
1213C23—32no—
1214C23—61no—
1215C23—61no—
1216C23—61no—
1217C23—61no—
1218C23—61no—
1219C23—61no—
1220C23—61no—
1221C23—61no—
1222C23—61no—
1223C23—61no—
1224C23C24×D311yescharacteristic
1225Q8—124no—
1226D4—68no—
1227D4—124no—
1228D4—124no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
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—32no—
1269C2×C4—32no—
1270C2×C4—32no—
1271C2×C4—32no—
1272C2×C4—61no—
1273C2×C4—61no—
1274C2×C4—61no—
1275C2×C4—61no—
1276C2×C4—61no—
1277C2×C4—61no—
1278C2×C4—61no—
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—82no—
1311C2×C4—124no—
1312C2×C4—124no—
1313C2×C4—124no—
1314C2×C4—124no—
1315C2×C4—124no—
1316C2×C4—242no—
1317C2×C4—242no—
1318C2×C4—242no—
1319C2×C4—242no—
1320C2×C4—242no—
1321C2×C4D3×#4112yes—
1322C2×C4D3×#4112yes—
1323C2×C4D3×#4112yes—
1324C2×C3—81no—
1325C2×C3C2×#52911yescharacteristic
1326C2×C3#350511yescharacteristic
1327C2×C3#350711yescharacteristic
1328C2×C3#351311yescharacteristic
1329C2×C3#351511yescharacteristic
1330C2×C3#352011yescharacteristic
1331C2×C3#352111yescharacteristic
1332D3—24no—
1333D3—42no—
1334C22—34no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—62no—
1343C22—62no—
1344C22—62no—
1345C22—62no—
1346C22—62no—
1347C22—62no—
1348C22—62no—
1349C22—62no—
1350C22—62no—
1351C22—121no—
1352C22—121no—
1353C22—121no—
1354C22—121no—
1355C22C2×D3×#4111yescharacteristic
1356C22C2×D3×#4111yescharacteristic
1357C22C2×D3×#4111yescharacteristic
1358C22#596411yescharacteristic
1359C22#596411yescharacteristic
1360C22D3×H(5,𝔽2)11yescharacteristic
1361C22D3×2−1+411yescharacteristic
1362C4—22no—
1363C4—22no—
1364C4—22no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—62no—
1377C4—62no—
1378C4—62no—
1379C4—62no—
1380C4—121no—
1381C4—121no—
1382C4—121no—
1383C4—121no—
1384C4—121no—
1385C4—121no—
1386C4—121no—
1387C4—121no—
1388C4—121no—
1389C4—121no—
1390C3#3538511yescharacteristic, complemented, Sylow
1391C2—64no—
1392C2—81no—
1393C2—122no—
1394C2D3×#52911yescharacteristic
1395C2#8617011yescharacteristic
1396C2#8655611yescharacteristic
1397C2#8681711yescharacteristic
1398C2#8683511yescharacteristic
1399C2#8686311yescharacteristic
1400C2#8688311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2530C2
prime radicalC2×#884C22
hypercenter#2530D3
hypocenterC3#35385
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2530

Complements

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

NH ≅ G/Ntype
1. C3×#2530C2semidirect
2. #78353C2semidirect
3. #78350C2semidirect
4. #78186C2semidirect
5. #78134C2semidirect
6. #77678C2semidirect
7. #77528C2semidirect
8. #77497C2semidirect
9. #77483C2semidirect
10. #76225C2semidirect
11. #76043C2semidirect
14. #75628C2semidirect
15. #75522C2semidirect
16. #75336C2semidirect
17. #75315C2semidirect
18. #75297C2semidirect
19. D3×#387C2semidirect
20. #75092C2semidirect
21. #75039C2semidirect
22. #75035C2semidirect
23. #74941C2semidirect
24. #74593C2semidirect
25. #74435C2semidirect
26. #74023C2semidirect
27. #74006C2semidirect
29. #73522C2semidirect
30. #73412C2semidirect
31. #73402C2semidirect
193. #2530D3semidirect
1390. C3#35385semidirect

Maximal subgroups

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

subgroupindex
C3×#25302
#783532
#783502
#781862
#781342
#776782
#775282
#774972
#774832
#762252
#760432
#758492
#758472
#756282
#755222
#753362
#753152
#752972
D3×#3872
#750922
#750392
#750352
#749412
#745932
#744352
#740232
#740062
C4×#8842
#735222
#734122
#734022
#353853