Finite Group Databasebeta

← #11044311

Subgroups — #11044311

Order 768.

1660 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×#2283C211yesmaximal, characteristic, complemented
2#82077C211yesmaximal, characteristic, complemented
3#82065C211yesmaximal, characteristic, complemented
4#74315C211yesmaximal, characteristic, complemented
5#74314C211yesmaximal, characteristic, complemented
6#74282C211yesmaximal, characteristic, complemented
7#74280C211yesmaximal, characteristic, complemented
8#74238C211yesmaximal, characteristic, complemented
9#74181C211yesmaximal, characteristic, complemented
10#74179C211yesmaximal, characteristic, complemented
11#74164C211yesmaximal, characteristic, complemented
12#74087C211yesmaximal, characteristic, complemented
13#74082C211yesmaximal, characteristic, complemented
14#74070C211yesmaximal, characteristic, complemented
15#74069C211yesmaximal, characteristic, complemented
16#74036C211yesmaximal, characteristic, complemented
17#73967C211yesmaximal, characteristic, complemented
18#73966C211yesmaximal, characteristic
19#73965C211yesmaximal, characteristic, complemented
20#73805C211yesmaximal, characteristic, complemented
21#73804C211yesmaximal, characteristic, complemented
22#73741C211yesmaximal, characteristic, complemented
23#73738C211yesmaximal, characteristic, complemented
24#73609C211yesmaximal, characteristic, complemented
25#73609C211yesmaximal, characteristic, complemented
26#73571C211yesmaximal, characteristic, complemented
27#73452C211yesmaximal, characteristic, complemented
28#73426C211yesmaximal, characteristic, complemented
29#73406C211yesmaximal, characteristic, complemented
30#73395C211yesmaximal, characteristic, complemented
31#73392C211yesmaximal, characteristic, complemented
32#38419—31nomaximal, Sylow
33C22×C3×C42C2211yescharacteristic
34C2×#930C2211yescharacteristic
35C2×C4×#67C2211yescharacteristic
36C2×#924C2211yescharacteristic
37C2×#898C2211yescharacteristic
38C2×#896C2211yescharacteristic
39C2×#894C2211yescharacteristic
40C2×#889C2211yescharacteristic
41C2×#885C2211yescharacteristic
42C2×#883C2211yescharacteristic
43C2×#875C2211yescharacteristic
44C2×#872C2211yescharacteristic
45C3×#383C2211yescharacteristic
46C3×#383C2211yescharacteristic
47C3×#382C2211yescharacteristic
48C3×#382C2211yescharacteristic
49C3×#381C2211yescharacteristic
50C3×#381C2211yescharacteristic
51C3×#380C2211yescharacteristic
52C3×#380C2211yescharacteristic
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×C4×C4⋊C4C2211yescharacteristic
55C3×C4×C22⋊C4C2211yescharacteristic
56C3×C4×C22⋊C4C2211yescharacteristic
57C3×#376C2211yescharacteristic
58C3×#376C2211yescharacteristic
59#5213C2211yescharacteristic
60#5213C2211yescharacteristic
61#5213C2211yescharacteristic
62#5213C2211yescharacteristic
63#5213C2211yescharacteristic
64#5213C2211yescharacteristic
65#5210C2211yescharacteristic
66#5210C2211yescharacteristic
67C4×#217C2211yescharacteristic
68#4994C2211yescharacteristic
69#4994C2211yescharacteristic
70#4993C2211yescharacteristic
71#4992C2211yescharacteristic
72#4991C2211yescharacteristic
73#4990C2211yescharacteristic
74#4990C2211yescharacteristic
75#4985C2211yescharacteristic
76#4983C2211yescharacteristic
77#4981C2211yescharacteristic
78#4976C2211yescharacteristic
79#4976C2211yescharacteristic
80#4960C2211yescharacteristic
81#4960C2211yescharacteristic
82#4959C2211yescharacteristic
83#4959C2211yescharacteristic
84#4959C2211yescharacteristic
85#4959C2211yescharacteristic
86#4957C2211yescharacteristic
87#4956C2211yescharacteristic
88#4951C2211yescharacteristic
89#4951C2211yescharacteristic
90#4948C2211yescharacteristic
91#4948C2211yescharacteristic
92#4945C2211yescharacteristic
93#4944C2211yescharacteristic
94#4940C2211yescharacteristic
95#4940C2211yescharacteristic
96#4940C2211yescharacteristic
97#4940C2211yescharacteristic
98#4940C2211yescharacteristic
99#4940C2211yescharacteristic
100#4940C2211yescharacteristic
101#4940C2211yescharacteristic
102#4940C2211yescharacteristic
103#4940C2211yescharacteristic
104#4940C2211yescharacteristic
105#4940C2211yescharacteristic
106#4939C2211yescharacteristic
107#4939C2211yescharacteristic
108#4939C2211yescharacteristic
109C4×(C2×D3)⋊C4C2211yescharacteristic
110C4×(C2×D3)⋊C4C2211yescharacteristic
111C4×(C2×D3)⋊C4C2211yescharacteristic
112#4936C2211yescharacteristic
113#4933C2211yescharacteristic
114#4933C2211yescharacteristic
115#4933C2211yescharacteristic
116#4933C2211yescharacteristic
117#4932C2211yescharacteristic
118C4×Dic3⋊C4C2211yescharacteristic
119C4×Dic3⋊C4C2211yescharacteristic
120C4×Dic3⋊C4C2211yescharacteristic
121#4929C2211yescharacteristic
122#4929C2211yescharacteristic
123#4928C2211yescharacteristic
124#4676C2211yescharacteristic
125#4675C2211yescharacteristic
126#4675C2211yescharacteristic
127#4675C2211yescharacteristic
128#4675C2211yescharacteristic
129#4675C2211yescharacteristic
130#4674C2211yescharacteristic
131#4673C2211yescharacteristic
132#4673C2211yescharacteristic
133#4672C2211yescharacteristic
134#4672C2211yescharacteristic
135#4672C2211yescharacteristic
136#4672C2211yescharacteristic
137#4671C2211yescharacteristic
138#4670C2211yescharacteristic
139#4670C2211yescharacteristic
140#4670C2211yescharacteristic
141#4670C2211yescharacteristic
142#4670C2211yescharacteristic
143#4670C2211yescharacteristic
144#4669C2211yescharacteristic
145#4669C2211yescharacteristic
146#4669C2211yescharacteristic
147#4669C2211yescharacteristic
148#4669C2211yescharacteristic
149#4668C2211yescharacteristic
150#4668C2211yescharacteristic
151#4667C2211yescharacteristic
152#4667C2211yescharacteristic
153#4666C2211yescharacteristic
154#4666C2211yescharacteristic
155#4666C2211yescharacteristic
156#4665C2211yescharacteristic
157#4665C2211yescharacteristic
158#4665C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161C3⋊#401C2211yescharacteristic
162#4661C2211yescharacteristic
163#4660C2211yescharacteristic
164#4660C2211yescharacteristic
165#4660C2211yescharacteristic
166#4659C2211yescharacteristic
167#4658C2211yescharacteristic
168#4657C2211yescharacteristic
169#4656C2211yescharacteristic
170#4656C2211yescharacteristic
171#4655C2211yescharacteristic
172#4654C2211yescharacteristic
173#4654C2211yescharacteristic
174#4653C2211yescharacteristic
175#4652C2211yescharacteristic
176#4652C2211yescharacteristic
177#4652C2211yescharacteristic
178#4651C2211yescharacteristic
179#4650C2211yescharacteristic
180#4648C2211yescharacteristic
181#4647C2211yescharacteristic
182#4647C2211yescharacteristic
183#4647C2211yescharacteristic
184#4646C2211yescharacteristic
185#4646C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2850—31no—
189#2759—31no—
190#2758—31no—
191#2757—31no—
192#2756—31no—
193#2704—31no—
194#2703—31no—
195#2702—31no—
196#2672—31no—
197#2648—31no—
198#2648—31no—
199#2612—31no—
200#2610—31no—
201#2596—31no—
202#2594—31no—
203#2576—31no—
204#2560—31no—
205#2558—31no—
206#2553—31no—
207#2529—31no—
208#2526—31no—
209#2518—31no—
210#2489—31no—
211#2459—31no—
212#2457—31no—
213#2372—31no—
214#2346—31no—
215#2337—31no—
216#2335—31no—
217#2290—31no—
218#2283D311yescharacteristic, complemented
219C23×C3×C4C2311yescharacteristic
220C23×C3×C4C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×D12C2311yescharacteristic
227C22×D12C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×Dic6C2311yescharacteristic
232C22×Dic6C2311yescharacteristic
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×C42—24no—
242C2×C3×C42C2311yescharacteristic
243C2×C3×C42C2311yescharacteristic
244C2×C3×C42C2311yescharacteristic
245C2×C3×C42C2311yescharacteristic
246C2×C3×C42C2311yescharacteristic
247C2×C3×C42C2311yescharacteristic
248C2×C3×C42C2311yescharacteristic
249C2×C3×C42C2311yescharacteristic
250C2×#217C2311yescharacteristic
251C2×#217C2311yescharacteristic
252C2×#217C2311yescharacteristic
253C2×#217C2311yescharacteristic
254C2×#217C2311yescharacteristic
255#930—42no—
256C4×#67—24no—
257C2×(C2×D3)⋊C4C2311yescharacteristic
258C2×(C2×D3)⋊C4C2311yescharacteristic
259C2×(C2×D3)⋊C4C2311yescharacteristic
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×(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×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297#924—42no—
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×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
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
326#898—42no—
327#896—42no—
328#894—42no—
329#889—42no—
330#885—24no—
331#883—24no—
332#875—24no—
333#872—24no—
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×#125—31no—
388C2×#124—31no—
389C2×#124—31no—
390C2×#123—31no—
391C2×#123—31no—
392C2×C22⋊Q8—31no—
393C2×C22⋊Q8—31no—
394C2×#121—31no—
395C2×C4×D4—31no—
396C2×#117—31no—
397C22×C42C2×D311yescharacteristic
398#401—31no—
399#400—31no—
400#400—31no—
401#400—31no—
402#400—31no—
403#400—31no—
404#400—31no—
405#399—31no—
406#398—31no—
407#398—31no—
408#398—31no—
409#398—31no—
410#397—31no—
411#397—31no—
412#397—31no—
413#397—31no—
414#397—31no—
415#397—31no—
416#397—31no—
417#396—31no—
418#396—31no—
419#396—31no—
420#396—31no—
421#396—31no—
422#395—31no—
423#395—31no—
424#394—31no—
425#394—31no—
426#394—31no—
427#394—31no—
428#394—31no—
429#394—31no—
430#394—31no—
431#394—31no—
432#394—31no—
433#393—31no—
434#393—31no—
435#392—31no—
436#392—31no—
437#392—31no—
438#391—31no—
439#391—31no—
440#391—31no—
441#391—31no—
442#391—31no—
443#391—31no—
444#390—31no—
445#390—31no—
446#390—31no—
447#390—31no—
448#389—31no—
449#389—31no—
450#389—31no—
451#389—31no—
452#389—31no—
453#389—31no—
454#388—31no—
455#388—31no—
456#388—31no—
457#388—31no—
458#388—31no—
459#388—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#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#386—31no—
495#386—31no—
496#386—31no—
497#386—31no—
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#385—31no—
507#385—31no—
508#385—31no—
509#385—31no—
510#383—31no—
511#383C2×D311yescharacteristic
512#383C2×D311yescharacteristic
513#382—31no—
514#382—31no—
515#382C2×D311yescharacteristic
516#382C2×D311yescharacteristic
517#381C2×D311yescharacteristic
518#381C2×D311yescharacteristic
519#380—31no—
520#380—31no—
521#380C2×D311yescharacteristic
522#380C2×D311yescharacteristic
523C4×C4⋊C4—31no—
524C4×C4⋊C4—31no—
525C4×C4⋊C4—31no—
526C4×C4⋊C4C2×D311yescharacteristic
527C4×C4⋊C4C2×D311yescharacteristic
528C4×C22⋊C4—31no—
529C4×C22⋊C4—31no—
530C4×C22⋊C4—31no—
531C4×C22⋊C4—31no—
532C4×C22⋊C4—31no—
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4C2×D311yescharacteristic
536C4×C22⋊C4C2×D311yescharacteristic
537#376—31no—
538#376—31no—
539#376C2×D311yescharacteristic
540#376C2×D311yescharacteristic
541C24×C3C2411yescharacteristic
542C23×D3C2411yescharacteristic
543C23×D3C2411yescharacteristic
544C23×D3C2411yescharacteristic
545C22×C3×C4—22no—
546C22×C3×C4—22no—
547C22×C3×C4—22no—
548C22×C3×C4—22no—
549C22×C3×C4—22no—
550C22×C3×C4—41no—
551C22×C3×C4—41no—
552C22×C3×C4—41no—
553C22×C3×C4—41no—
554C22×C3×C4C2411yescharacteristic
555C22×C3×C4C2411yescharacteristic
556C22×C3×C4C2411yescharacteristic
557C22×C3×C4C2411yescharacteristic
558C22×C3×C4C2411yescharacteristic
559C22×C3×C4C2411yescharacteristic
560C22×C3×C4C2411yescharacteristic
561C22×C3×C4C2411yescharacteristic
562C22×C3×C4C2411yescharacteristic
563C22×C3×C4C2411yescharacteristic
564C22×C3×C4C2411yescharacteristic
565C22×C3×C4C2411yescharacteristic
566C22×C3×C4C2411yescharacteristic
567C22×C3×C4C2411yescharacteristic
568C2×#67—22no—
569C2×#67—22no—
570C2×#67—22no—
571C2×#67—41no—
572C2×#67—41no—
573C2×#67—41no—
574C2×#67—41no—
575C2×#67—41no—
576C2×#67—41no—
577C22×Dic3C2411yescharacteristic
578C22×Dic3C2411yescharacteristic
579C22×Dic3C2411yescharacteristic
580C22×Dic3C2411yescharacteristic
581C22×Dic3C2411yescharacteristic
582C22×Dic3C2411yescharacteristic
583C22×Dic3C2411yescharacteristic
584C22×Dic3C2411yescharacteristic
585C22×Dic3C2411yescharacteristic
586C22×Dic3C2411yescharacteristic
587C22×Dic3C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C2×D12—22no—
591C2×D12—41no—
592C2×D12—41no—
593C2×D12—41no—
594C2×D12—41no—
595C2×D12—41no—
596C2×D12—41no—
597C2×D12—41no—
598C2×D12—41no—
599C2×C4×D3—22no—
600C2×C4×D3—22no—
601C2×C4×D3—22no—
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×Dic6—22no—
609C2×Dic6—22no—
610C2×Dic6—41no—
611C2×Dic6—41no—
612C2×Dic6—41no—
613C2×Dic6—41no—
614C3×C4⋊C4—22no—
615C3×C4⋊C4—22no—
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×C42—22no—
623C3×C42—22no—
624C3×C42—22no—
625C3×C42—41no—
626C3×C42—41no—
627C3×C42—41no—
628C3×C42—41no—
629C3×C42#4114yes—
630#217—41no—
631#217—41no—
632#217—41no—
633#217—41no—
634#217#4114yes—
635(C2×D3)⋊C4—22no—
636(C2×D3)⋊C4—22no—
637(C2×D3)⋊C4—22no—
638(C2×D3)⋊C4—22no—
639(C2×D3)⋊C4—22no—
640(C2×D3)⋊C4—22no—
641(C2×D3)⋊C4—22no—
642(C2×D3)⋊C4—22no—
643(C2×D3)⋊C4—22no—
644(C2×D3)⋊C4—22no—
645(C2×D3)⋊C4—22no—
646(C2×D3)⋊C4—22no—
647(C2×D3)⋊C4—22no—
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—
663(C2×D3)⋊C4—41no—
664(C2×D3)⋊C4—41no—
665(C2×D3)⋊C4—41no—
666(C2×D3)⋊C4—41no—
667(C2×D3)⋊C4—41no—
668C4⋊Dic3—22no—
669C4⋊Dic3—41no—
670C4⋊Dic3—41no—
671C4⋊Dic3—41no—
672C4⋊Dic3—41no—
673C4⋊Dic3—41no—
674C4⋊Dic3—41no—
675Dic3⋊C4—22no—
676Dic3⋊C4—22no—
677Dic3⋊C4—22no—
678Dic3⋊C4—22no—
679Dic3⋊C4—22no—
680Dic3⋊C4—22no—
681Dic3⋊C4—22no—
682Dic3⋊C4—41no—
683Dic3⋊C4—41no—
684Dic3⋊C4—41no—
685Dic3⋊C4—41no—
686Dic3⋊C4—41no—
687Dic3⋊C4—41no—
688Dic3⋊C4—41no—
689Dic3⋊C4—41no—
690Dic3⋊C4—41no—
691Dic3⋊C4—41no—
692Dic3⋊C4—41no—
693Dic3⋊C4—41no—
694C4×Dic3—22no—
695C4×Dic3—22no—
696C4×Dic3—22no—
697C4×Dic3—41no—
698C4×Dic3—41no—
699C4×Dic3—41no—
700C4×Dic3—41no—
701C4×Dic3—41no—
702C4×Dic3—41no—
703C22×Q8—31no—
704C22×Q8—31no—
705C22×D4—31no—
706C22×D4—31no—
707C22×D4—31no—
708C22×D4—31no—
709C22×D4—31no—
710C22×D4—31no—
711C23×C4—31no—
712C23×C4—31no—
713C23×C4—31no—
714C23×C4C22×D311yescharacteristic
715C23×C4C22×D311yescharacteristic
716C23×C4C22×D311yescharacteristic
717#126—122no—
718#125—122no—
719#124—64no—
720#124—64no—
721#123—64no—
722#123—122no—
723C22⋊Q8—122no—
724C22⋊Q8—122no—
725#121—122no—
726C4×D4—64no—
727#117—64no—
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⋊C4C22×D311yescharacteristic
755C2×C4⋊C4C22×D311yescharacteristic
756C2×C4⋊C4C22×D311yescharacteristic
757C2×C4⋊C4C22×D311yescharacteristic
758C2×C22⋊C4—31no—
759C2×C22⋊C4—31no—
760C2×C22⋊C4—31no—
761C2×C22⋊C4—31no—
762C2×C22⋊C4—31no—
763C2×C22⋊C4—31no—
764C2×C22⋊C4—31no—
765C2×C22⋊C4—31no—
766C2×C22⋊C4—31no—
767C2×C22⋊C4—31no—
768C2×C22⋊C4—31no—
769C2×C22⋊C4—31no—
770C2×C22⋊C4—31no—
771C2×C22⋊C4—31no—
772C2×C22⋊C4—31no—
773C2×C22⋊C4—31no—
774C2×C22⋊C4—31no—
775C2×C22⋊C4—31no—
776C2×C22⋊C4—31no—
777C2×C22⋊C4—31no—
778C2×C22⋊C4—31no—
779C2×C22⋊C4—31no—
780C2×C22⋊C4—31no—
781C2×C22⋊C4—31no—
782C2×C22⋊C4—31no—
783C2×C22⋊C4—31no—
784C2×C22⋊C4—31no—
785C2×C22⋊C4—31no—
786C2×C22⋊C4—31no—
787C2×C22⋊C4—31no—
788C2×C22⋊C4—31no—
789C2×C22⋊C4—31no—
790C2×C22⋊C4—31no—
791C2×C22⋊C4—31no—
792C2×C22⋊C4—31no—
793C2×C22⋊C4—31no—
794C2×C22⋊C4—31no—
795C2×C22⋊C4—31no—
796C2×C22⋊C4C22×D311yescharacteristic
797C2×C22⋊C4C22×D311yescharacteristic
798C2×C22⋊C4C22×D311yescharacteristic
799C2×C22⋊C4C22×D311yescharacteristic
800C2×C42—24no—
801C2×C42—31no—
802C2×C42—31no—
803C2×C42—31no—
804C2×C42—31no—
805C2×C42—31no—
806C2×C42—31no—
807C2×C42—31no—
808C2×C42—31no—
809C2×C42—31no—
810C2×C42C22×D311yescharacteristic
811C2×C42C22×D311yescharacteristic
812C2×C42C22×D311yescharacteristic
813C2×C42C22×D311yescharacteristic
814C2×C42C22×D311yescharacteristic
815C2×C42C22×D311yescharacteristic
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×C3C2×#4112yes—
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×D3—21no—
889C22×D3—21no—
890C22×D3—21no—
891C22×D3—21no—
892C22×D3—21no—
893C22×D3—21no—
894C22×D3—21no—
895C22×D3—21no—
896C22×D3—21no—
897C22×D3—21no—
898C22×D3—21no—
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—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—44no—
940C2×C3×C4C2×#4112yes—
941C2×C3×C4C2×#4112yes—
942C2×C3×C4C2×#4112yes—
943C2×C3×C4H(5,𝔽2)12yes—
944#67—44no—
945#67—82no—
946#67—82no—
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×Dic3C2×#4112yes—
985C2×Dic3C2×#4112yes—
986D12—82no—
987D12—82no—
988D12—82no—
989C4×D3—44no—
990C4×D3—82no—
991C4×D3—82no—
992Dic6—82no—
993Dic6—82no—
994C24—31no—
995C24—31no—
996C24—31no—
997C24C23×D311yescharacteristic
998C2×Q8—62no—
999C2×Q8—62no—
1000C2×Q8—121no—
1001C2×Q8—121no—
1002C2×Q8—121no—
1003C2×Q8—121no—
1004C2×D4—62no—
1005C2×D4—62no—
1006C2×D4—62no—
1007C2×D4—62no—
1008C2×D4—121no—
1009C2×D4—121no—
1010C2×D4—121no—
1011C2×D4—121no—
1012C2×D4—121no—
1013C2×D4—121no—
1014C2×D4—121no—
1015C2×D4—121no—
1016C2×D4—121no—
1017C2×D4—121no—
1018C2×D4—121no—
1019C2×D4—121no—
1020C2×D4—121no—
1021C2×D4—121no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—31no—
1028C22×C4—31no—
1029C22×C4—31no—
1030C22×C4—31no—
1031C22×C4—31no—
1032C22×C4—31no—
1033C22×C4—31no—
1034C22×C4—31no—
1035C22×C4—31no—
1036C22×C4—31no—
1037C22×C4—31no—
1038C22×C4—31no—
1039C22×C4—31no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—62no—
1045C22×C4—62no—
1046C22×C4—62no—
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—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—121no—
1080C4⋊C4—121no—
1081C4⋊C4—121no—
1082C4⋊C4—121no—
1083C4⋊C4—121no—
1084C4⋊C4—121no—
1085C4⋊C4—121no—
1086C4⋊C4—121no—
1087C4⋊C4—121no—
1088C4⋊C4—121no—
1089C4⋊C4—121no—
1090C4⋊C4—121no—
1091C4⋊C4—121no—
1092C4⋊C4—121no—
1093C4⋊C4—121no—
1094C4⋊C4—121no—
1095C4⋊C4—121no—
1096C4⋊C4—121no—
1097C22⋊C4—22no—
1098C22⋊C4—22no—
1099C22⋊C4—34no—
1100C22⋊C4—41no—
1101C22⋊C4—41no—
1102C22⋊C4—62no—
1103C22⋊C4—62no—
1104C22⋊C4—62no—
1105C22⋊C4—62no—
1106C22⋊C4—62no—
1107C22⋊C4—62no—
1108C22⋊C4—62no—
1109C22⋊C4—62no—
1110C22⋊C4—62no—
1111C22⋊C4—62no—
1112C22⋊C4—62no—
1113C22⋊C4—62no—
1114C22⋊C4—62no—
1115C22⋊C4—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—
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—
1139C42—22no—
1140C42—22no—
1141C42—22no—
1142C42—41no—
1143C42—41no—
1144C42—41no—
1145C42—41no—
1146C42—62no—
1147C42—62no—
1148C42—62no—
1149C42—121no—
1150C42—121no—
1151C42—121no—
1152C42—121no—
1153C42—121no—
1154C42—121no—
1155C42#23514yes—
1156C22×C3—22no—
1157C22×C3—22no—
1158C22×C3—22no—
1159C22×C3—41no—
1160C22×C3—41no—
1161C22×C3—41no—
1162C22×C3—41no—
1163C22×C3C22×#4111yescharacteristic
1164C22×C3C22×#4111yescharacteristic
1165C22×C3C2×H(5,𝔽2)11yescharacteristic
1166C22×C3#58511yescharacteristic
1167C22×C3#58511yescharacteristic
1168C22×C3#58511yescharacteristic
1169C22×C3#58511yescharacteristic
1170C2×D3—41no—
1171C2×D3—41no—
1172C2×D3—41no—
1173C2×D3—41no—
1174C2×D3—41no—
1175C2×D3—41no—
1176C2×D3—41no—
1177C2×D3—41no—
1178C2×D3—41no—
1179C2×D3—41no—
1180C2×D3—41no—
1181C2×D3—41no—
1182C2×D3—41no—
1183C2×D3—41no—
1184C2×D3—41no—
1185C2×D3—41no—
1186C2×D3—41no—
1187C2×D3—41no—
1188C2×D3—41no—
1189C2×D3—41no—
1190C2×D3—41no—
1191C3×C4—22no—
1192C3×C4—22no—
1193C3×C4—22no—
1194C3×C4—22no—
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—
1204C3×C4—41no—
1205Dic3—22no—
1206Dic3—22no—
1207Dic3—41no—
1208Dic3—41no—
1209Dic3—41no—
1210Dic3—41no—
1211Dic3—41no—
1212Dic3—41no—
1213Dic3—41no—
1214Dic3—41no—
1215Dic3—41no—
1216Dic3—41no—
1217Dic3—41no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—61no—
1225C23—61no—
1226C23—61no—
1227C23—61no—
1228C23—61no—
1229C23—61no—
1230C23—61no—
1231C23—61no—
1232C23—61no—
1233C23—61no—
1234C23—61no—
1235C23—61no—
1236C23—61no—
1237C23—61no—
1238C23—61no—
1239C23—61no—
1240C23—61no—
1241C23—61no—
1242C23—61no—
1243C23—61no—
1244C23—61no—
1245C23D3×#4112yes—
1246C23C24×D311yescharacteristic
1247Q8—242no—
1248Q8—242no—
1249D4—124no—
1250D4—242no—
1251D4—242no—
1252D4—242no—
1253D4—242no—
1254D4—242no—
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—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—32no—
1294C2×C4—32no—
1295C2×C4—44no—
1296C2×C4—44no—
1297C2×C4—44no—
1298C2×C4—61no—
1299C2×C4—61no—
1300C2×C4—61no—
1301C2×C4—61no—
1302C2×C4—61no—
1303C2×C4—61no—
1304C2×C4—61no—
1305C2×C4—61no—
1306C2×C4—61no—
1307C2×C4—61no—
1308C2×C4—61no—
1309C2×C4—61no—
1310C2×C4—61no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—61no—
1321C2×C4—61no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—61no—
1332C2×C4—61no—
1333C2×C4—61no—
1334C2×C4—61no—
1335C2×C4—124no—
1336C2×C4—242no—
1337C2×C4—242no—
1338C2×C4C2×#23512yes—
1339C2×C4C2×#23512yes—
1340C2×C4C2×#23512yes—
1341C2×C4#100912yes—
1342C2×C3—42no—
1343C2×C3#345511yescharacteristic
1344C2×C3#347511yescharacteristic
1345C2×C3#349311yescharacteristic
1346C2×C3#349411yescharacteristic
1347C2×C3#351411yescharacteristic
1348C2×C3#355111yescharacteristic
1349C2×C3#356611yescharacteristic
1350D3—81no—
1351D3—81no—
1352D3—81no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—121no—
1361C22—121no—
1362C22—121no—
1363C22—121no—
1364C22—121no—
1365C22—121no—
1366C22—121no—
1367C22—121no—
1368C22—121no—
1369C22—121no—
1370C22—121no—
1371C22—121no—
1372C22—121no—
1373C22—121no—
1374C22—121no—
1375C22—121no—
1376C22—121no—
1377C22—121no—
1378C22—121no—
1379C22—121no—
1380C22—121no—
1381C22C22×#23511yescharacteristic
1382C22C2×D3×#4111yescharacteristic
1383C22C2×#100911yescharacteristic
1384C22#596411yescharacteristic
1385C22#596411yescharacteristic
1386C22#596411yescharacteristic
1387C22#596411yescharacteristic
1388C4—22no—
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
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#3841911yescharacteristic, complemented, Sylow
1416C2—42no—
1417C2—241no—
1418C2—241no—
1419C2—241no—
1420C2#8573811yescharacteristic
1421C2#8574411yescharacteristic
1422C2#8574711yescharacteristic
1423C2#8612111yescharacteristic
1424C2#8616211yescharacteristic
1425C2#8617611yescharacteristic
1426C2#8618311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2283C2
prime radical#73966C2
hypercenter#2283D3
hypocenterC3#38419
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2283

Complements

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

NH ≅ G/Ntype
1. C3×#2283C2semidirect
2. #82077C2semidirect
3. #82065C2semidirect
4. #74315C2semidirect
5. #74314C2semidirect
6. #74282C2semidirect
7. #74280C2semidirect
8. #74238C2semidirect
9. #74181C2semidirect
10. #74179C2semidirect
11. #74164C2semidirect
12. #74087C2semidirect
13. #74082C2semidirect
14. #74070C2semidirect
15. #74069C2semidirect
16. #74036C2semidirect
17. #73967C2semidirect
19. #73965C2semidirect
20. #73805C2semidirect
21. #73804C2semidirect
22. #73741C2semidirect
23. #73738C2semidirect
24. #73609C2semidirect
25. #73609C2semidirect
26. #73571C2semidirect
27. #73452C2semidirect
28. #73426C2semidirect
29. #73406C2semidirect
30. #73395C2semidirect
31. #73392C2semidirect
218. #2283D3semidirect
1415. C3#38419semidirect

Maximal subgroups

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

subgroupindex
C3×#22832
#820772
#820652
#743152
#743142
#742822
#742802
#742382
#741812
#741792
#741642
#740872
#740822
#740702
#740692
#740362
#739672
#739662
#739652
#738052
#738042
#737412
#737382
#736092
#735712
#734522
#734262
#734062
#733952
#733922
#384193