Finite Group Databasebeta

← #11044140

Subgroups — #11044140

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×#2753C211yesmaximal, characteristic, complemented
2#78369C211yesmaximal, characteristic, complemented
3#78207C211yesmaximal, characteristic, complemented
4#77528C211yesmaximal, characteristic, complemented
5#77496C211yesmaximal, characteristic, complemented
6#76990C211yesmaximal, characteristic, complemented
7#76990C211yesmaximal, characteristic, complemented
8#76952C211yesmaximal, characteristic, complemented
9#76939C211yesmaximal, characteristic, complemented
10#76921C211yesmaximal, characteristic, complemented
11#76902C211yesmaximal, characteristic, complemented
12#76720C211yesmaximal, characteristic
13#76696C211yesmaximal, characteristic, complemented
14#76474C211yesmaximal, characteristic, complemented
15#76397C211yesmaximal, characteristic, complemented
16#75925C211yesmaximal, characteristic, complemented
17#75736C211yesmaximal, characteristic, complemented
18#75639C211yesmaximal, characteristic, complemented
19#75590C211yesmaximal, characteristic, complemented
20#75586C211yesmaximal, characteristic, complemented
21#75473C211yesmaximal, characteristic, complemented
22#75463C211yesmaximal, characteristic, complemented
23#75449C211yesmaximal, characteristic, complemented
24#74925C211yesmaximal, characteristic, complemented
25#74768C211yesmaximal, characteristic, complemented
26#74757C211yesmaximal, characteristic, complemented
27#74680C211yesmaximal, characteristic, complemented
28#74473C211yesmaximal, characteristic, complemented
29#74389C211yesmaximal, characteristic, complemented
30#74202C211yesmaximal, characteristic, complemented
31#74147C211yesmaximal, characteristic, complemented
32#38413—31nomaximal, Sylow
33C2×#939C2211yescharacteristic
34C2×#938C2211yescharacteristic
35C2×#936C2211yescharacteristic
36C2×#929C2211yescharacteristic
37C2×#898C2211yescharacteristic
38C2×#897C2211yescharacteristic
39C2×#885C2211yescharacteristic
40C2×#67⋊C4C2211yescharacteristic
41C2×#879C2211yescharacteristic
42C2×#878C2211yescharacteristic
43C2×#877C2211yescharacteristic
44C2×C42×D3C2211yescharacteristic
45C3×#400C2211yescharacteristic
46C3×#397C2211yescharacteristic
47C3×#394C2211yescharacteristic
48C3×#394C2211yescharacteristic
49C3×#394C2211yescharacteristic
50C3×#392C2211yescharacteristic
51C3×#390C2211yescharacteristic
52C3×#388C2211yescharacteristic
53C3×#388C2211yescharacteristic
54C3×#388C2211yescharacteristic
55C3×#388C2211yescharacteristic
56C3×#386C2211yescharacteristic
57C3×#386C2211yescharacteristic
58C3×#385C2211yescharacteristic
59C3×#382C2211yescharacteristic
60#5223C2211yescharacteristic
61#5222C2211yescharacteristic
62#5222C2211yescharacteristic
63#5222C2211yescharacteristic
64#5221C2211yescharacteristic
65#5221C2211yescharacteristic
66#5220C2211yescharacteristic
67#5220C2211yescharacteristic
68#5220C2211yescharacteristic
69#5210C2211yescharacteristic
70C4×#217C2211yescharacteristic
71C4×#217C2211yescharacteristic
72#4989C2211yescharacteristic
73#4987C2211yescharacteristic
74#4987C2211yescharacteristic
75#4985C2211yescharacteristic
76#4982C2211yescharacteristic
77#4982C2211yescharacteristic
78#4979C2211yescharacteristic
79#4978C2211yescharacteristic
80#4978C2211yescharacteristic
81#4977C2211yescharacteristic
82#4977C2211yescharacteristic
83#4976C2211yescharacteristic
84#4976C2211yescharacteristic
85#4976C2211yescharacteristic
86#4976C2211yescharacteristic
87Dic3×C4⋊C4C2211yescharacteristic
88Dic3×C4⋊C4C2211yescharacteristic
89Dic3×C4⋊C4C2211yescharacteristic
90#4959C2211yescharacteristic
91#4959C2211yescharacteristic
92#4959C2211yescharacteristic
93#4959C2211yescharacteristic
94#4957C2211yescharacteristic
95#4957C2211yescharacteristic
96#4956C2211yescharacteristic
97#4956C2211yescharacteristic
98#4956C2211yescharacteristic
99#4956C2211yescharacteristic
100#4956C2211yescharacteristic
101#4956C2211yescharacteristic
102#4953C2211yescharacteristic
103#4953C2211yescharacteristic
104#4953C2211yescharacteristic
105#4953C2211yescharacteristic
106#4952C2211yescharacteristic
107#4952C2211yescharacteristic
108#4951C2211yescharacteristic
109#4951C2211yescharacteristic
110#4951C2211yescharacteristic
111#4951C2211yescharacteristic
112#4951C2211yescharacteristic
113#4951C2211yescharacteristic
114#4951C2211yescharacteristic
115#4951C2211yescharacteristic
116#4949C2211yescharacteristic
117#4949C2211yescharacteristic
118#4948C2211yescharacteristic
119#4948C2211yescharacteristic
120#4947C2211yescharacteristic
121#4947C2211yescharacteristic
122#4946C2211yescharacteristic
123#4945C2211yescharacteristic
124#4945C2211yescharacteristic
125#4945C2211yescharacteristic
126#4945C2211yescharacteristic
127#4945C2211yescharacteristic
128#4944C2211yescharacteristic
129#4944C2211yescharacteristic
130#4944C2211yescharacteristic
131#4944C2211yescharacteristic
132#4944C2211yescharacteristic
133#4944C2211yescharacteristic
134#4944C2211yescharacteristic
135#4943C2211yescharacteristic
136#4942C2211yescharacteristic
137Dic3×C22⋊C4C2211yescharacteristic
138Dic3×C22⋊C4C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic
140Dic3×C22⋊C4C2211yescharacteristic
141#4940C2211yescharacteristic
142#4936C2211yescharacteristic
143#4933C2211yescharacteristic
144#4932C2211yescharacteristic
145C4×Dic3⋊C4C2211yescharacteristic
146#4929C2211yescharacteristic
147#4929C2211yescharacteristic
148#4675C2211yescharacteristic
149#4675C2211yescharacteristic
150#4674C2211yescharacteristic
151#4669C2211yescharacteristic
152#4668C2211yescharacteristic
153#4666C2211yescharacteristic
154#4666C2211yescharacteristic
155#4666C2211yescharacteristic
156#4664C2211yescharacteristic
157#4664C2211yescharacteristic
158#4661C2211yescharacteristic
159#4661C2211yescharacteristic
160#4659C2211yescharacteristic
161#4658C2211yescharacteristic
162#4657C2211yescharacteristic
163#4657C2211yescharacteristic
164#4656C2211yescharacteristic
165#4655C2211yescharacteristic
166#4655C2211yescharacteristic
167#4654C2211yescharacteristic
168#4653C2211yescharacteristic
169#4653C2211yescharacteristic
170#4652C2211yescharacteristic
171#4652C2211yescharacteristic
172#4652C2211yescharacteristic
173#4652C2211yescharacteristic
174#4652C2211yescharacteristic
175#4652C2211yescharacteristic
176#4651C2211yescharacteristic
177#4651C2211yescharacteristic
178#4650C2211yescharacteristic
179#4649C2211yescharacteristic
180#4648C2211yescharacteristic
181#4648C2211yescharacteristic
182#4648C2211yescharacteristic
183#4647C2211yescharacteristic
184#4646C2211yescharacteristic
185#4646C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2850—31no—
189#2755—31no—
190#2754—31no—
191#2753D311yescharacteristic, complemented
192#2723—31no—
193#2701—31no—
194#2700—31no—
195#2699—31no—
196#2698—31no—
197#2651—31no—
198#2651—31no—
199#2612—31no—
200#2610—31no—
201#2597—31no—
202#2595—31no—
203#2578—31no—
204#2559—31no—
205#2557—31no—
206#2553—31no—
207#2532—31no—
208#2531—31no—
209#2518—31no—
210#2515—31no—
211#2467—31no—
212#2427—31no—
213#2372—31no—
214#2346—31no—
215#2334—31no—
216#2332—31no—
217#2290—31no—
218#2283—31no—
219C22×C3×D4C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
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×C4⋊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×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C42C2311yescharacteristic
253C2×C3×C42C2311yescharacteristic
254C2×#217C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273#939—42no—
274#938—42no—
275#936—24no—
276#929—42no—
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×C4⋊Dic3C2311yescharacteristic
287C2×C4⋊Dic3C2311yescharacteristic
288C2×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×C4×Dic3C2311yescharacteristic
312C2×C4×Dic3C2311yescharacteristic
313C2×C4×Dic3C2311yescharacteristic
314C2×C4×Dic3C2311yescharacteristic
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
326#898—42no—
327#897—42no—
328#885—42no—
329#67⋊C4—24no—
330#879—24no—
331#878—24no—
332#877—24no—
333C42×D3—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×#126—31no—
388C2×#124—31no—
389C2×#124—31no—
390C2×#123—31no—
391C2×C22⋊Q8—31no—
392C2×C22⋊Q8—31no—
393C2×#121—31no—
394C2×#121—31no—
395C2×C4×D4—31no—
396C2×#117—31no—
397C22×C42—31no—
398#400—31no—
399#400—31no—
400#400—31no—
401#400C2×D311yescharacteristic
402#399—31no—
403#399—31no—
404#398—31no—
405#398—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#397—31no—
418#397—31no—
419#397C2×D311yescharacteristic
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#394C2×D311yescharacteristic
432#394C2×D311yescharacteristic
433#394C2×D311yescharacteristic
434#393—31no—
435#393—31no—
436#392—31no—
437#392C2×D311yescharacteristic
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#390C2×D311yescharacteristic
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#388C2×D311yescharacteristic
477#388C2×D311yescharacteristic
478#388C2×D311yescharacteristic
479#388C2×D311yescharacteristic
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#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#386C2×D311yescharacteristic
504#386C2×D311yescharacteristic
505#385—31no—
506#385—31no—
507#385—31no—
508#385—31no—
509#385C2×D311yescharacteristic
510#383—31no—
511#383—31no—
512#382—31no—
513#382—31no—
514#382—31no—
515#382—31no—
516#382C2×D311yescharacteristic
517#381—31no—
518#381—31no—
519#381—31no—
520#380—31no—
521#380—31no—
522#380—31no—
523C4×C4⋊C4—31no—
524C4×C4⋊C4—31no—
525C4×C4⋊C4—31no—
526C4×C4⋊C4—31no—
527C4×C4⋊C4—31no—
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⋊C4—31no—
536C4×C22⋊C4—31no—
537#376—31no—
538#376—31no—
539#376—31no—
540#376—31no—
541C24×C3C2411yescharacteristic
542C24×C3C2411yescharacteristic
543C24×C3C2411yescharacteristic
544C23×D3C2411yescharacteristic
545C2×C3×D4—22no—
546C2×C3×D4—41no—
547C2×C3×D4—41no—
548C2×C3×D4—41no—
549C2×C3×D4—41no—
550C2×C3×D4—41no—
551C2×C3×D4—41no—
552C2×C3×D4—41no—
553C2×C3×D4—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
569C2×#67—22no—
570C2×#67—22no—
571C2×#67—22no—
572C2×#67—22no—
573C2×#67—41no—
574C2×#67—41no—
575C2×#67—41no—
576C2×#67—41no—
577C2×#67—41no—
578C22×Dic3—22no—
579C22×Dic3—22no—
580C22×Dic3—22no—
581C22×Dic3—41no—
582C22×Dic3—41no—
583C22×Dic3—41no—
584C22×Dic3C2411yescharacteristic
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×C4×D3—22no—
600C2×C4×D3—22no—
601C2×C4×D3—22no—
602C2×C4×D3—22no—
603C2×C4×D3—22no—
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—41no—
615C3×C4⋊C4—41no—
616C3×C4⋊C4—41no—
617C3×C4⋊C4—41no—
618C3×C4⋊C4—41no—
619C3×C22⋊C4—22no—
620C3×C22⋊C4—22no—
621C3×C22⋊C4—22no—
622C3×C22⋊C4—22no—
623C3×C22⋊C4—41no—
624C3×C22⋊C4—41no—
625C3×C22⋊C4—41no—
626C3×C22⋊C4—41no—
627C3×C22⋊C4—41no—
628C3×C22⋊C4—41no—
629C3×C22⋊C4—41no—
630C3×C22⋊C4—41no—
631C3×C22⋊C4—41no—
632C3×C22⋊C4—41no—
633C3×C42—22no—
634C3×C42—41no—
635#217—22no—
636#217—22no—
637#217—22no—
638#217—22no—
639#217—22no—
640#217—22no—
641#217—22no—
642#217—22no—
643#217—41no—
644#217—41no—
645#217—41no—
646#217—41no—
647#217—41no—
648#217—41no—
649#217—41no—
650#217—41no—
651#217—41no—
652#217—41no—
653#217—41no—
654(C2×D3)⋊C4—22no—
655(C2×D3)⋊C4—22no—
656(C2×D3)⋊C4—22no—
657(C2×D3)⋊C4—22no—
658(C2×D3)⋊C4—22no—
659(C2×D3)⋊C4—22no—
660(C2×D3)⋊C4—41no—
661(C2×D3)⋊C4—41no—
662(C2×D3)⋊C4—41no—
663C4⋊Dic3—22no—
664C4⋊Dic3—22no—
665C4⋊Dic3—41no—
666C4⋊Dic3—41no—
667C4⋊Dic3—41no—
668C4⋊Dic3—41no—
669C4⋊Dic3—41no—
670C4⋊Dic3—41no—
671Dic3⋊C4—22no—
672Dic3⋊C4—22no—
673Dic3⋊C4—22no—
674Dic3⋊C4—22no—
675Dic3⋊C4—41no—
676Dic3⋊C4—41no—
677Dic3⋊C4—41no—
678Dic3⋊C4—41no—
679Dic3⋊C4—41no—
680Dic3⋊C4—41no—
681Dic3⋊C4—41no—
682Dic3⋊C4—41no—
683Dic3⋊C4—41no—
684Dic3⋊C4—41no—
685Dic3⋊C4—41no—
686Dic3⋊C4—41no—
687Dic3⋊C4#4114yes—
688C4×Dic3—22no—
689C4×Dic3—22no—
690C4×Dic3—22no—
691C4×Dic3—22no—
692C4×Dic3—22no—
693C4×Dic3—41no—
694C4×Dic3—41no—
695C4×Dic3—41no—
696C4×Dic3—41no—
697C4×Dic3—41no—
698C4×Dic3—41no—
699C4×Dic3—41no—
700C4×Dic3—41no—
701C4×Dic3—41no—
702C4×Dic3#4114yes—
703C22×Q8—31no—
704C22×Q8—31no—
705C22×D4—31no—
706C22×D4—31no—
707C22×D4—31no—
708C22×D4C22×D311yescharacteristic
709C22×D4C22×D311yescharacteristic
710C22×D4C22×D311yescharacteristic
711C23×C4—31no—
712C23×C4—31no—
713C23×C4—31no—
714C23×C4—31no—
715C23×C4—31no—
716C23×C4C22×D311yescharacteristic
717#126—64no—
718#126—122no—
719#124—64no—
720#124—122no—
721#123—122no—
722C22⋊Q8—64no—
723C22⋊Q8—122no—
724#121—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⋊C4C22×D311yescharacteristic
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⋊C4C22×D311yescharacteristic
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×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×C42—31no—
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×C42—31no—
811C2×C42—31no—
812C2×C42—31no—
813C2×C42—31no—
814C2×C42—31no—
815C2×C42—64no—
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#95—31no—
855#95—31no—
856#95—31no—
857#95—31no—
858#95—31no—
859#95—31no—
860#95C22×D311yescharacteristic
861#95C22×D311yescharacteristic
862#95C22×D311yescharacteristic
863#95C22×D311yescharacteristic
864#95C22×D311yescharacteristic
865#95C22×D311yescharacteristic
866#95C22×D311yescharacteristic
867#95C22×D311yescharacteristic
868#95C22×D311yescharacteristic
869#95C22×D311yescharacteristic
870C23×C3—21no—
871C23×C3—21no—
872C23×C3—21no—
873C23×C3—21no—
874C23×C3—21no—
875C23×C3—21no—
876C23×C3—21no—
877C23×C3—21no—
878C23×C3—21no—
879C23×C3—21no—
880C23×C3—21no—
881C23×C3—21no—
882C23×C3—21no—
883C23×C3—21no—
884C23×C3—21no—
885C23×C3—21no—
886C23×C3—21no—
887C23×C3—21no—
888C23×C3—21no—
889C23×C3—21no—
890C23×C3—21no—
891C23×C3C2511yescharacteristic
892C22×D3—21no—
893C22×D3—21no—
894C22×D3—21no—
895C22×D3—21no—
896C22×D3—21no—
897C22×D3—21no—
898C22×D3H(5,𝔽2)12yes—
899C3×D4—82no—
900C3×D4—82no—
901C3×D4—82no—
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—82no—
937C2×C3×C4C2×#4112yes—
938C2×C3×C4C2×#4112yes—
939#67—44no—
940#67—82no—
941#67—82no—
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×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—44no—
984C2×Dic3—82no—
985C2×Dic3C2×#4112yes—
986C2×Dic3C2×#4112yes—
987C2×Dic3C2×#4112yes—
988C2×Dic3C2×#4112yes—
989C4×D3—44no—
990C4×D3—44no—
991C4×D3—44no—
992Dic6—82no—
993Dic6—82no—
994C24—31no—
995C24C23×D311yescharacteristic
996C24C23×D311yescharacteristic
997C24C23×D311yescharacteristic
998C2×Q8—62no—
999C2×Q8—62no—
1000C2×Q8—121no—
1001C2×Q8—121no—
1002C2×Q8—121no—
1003C2×Q8—121no—
1004C2×D4—22no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—41no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—62no—
1014C2×D4—62no—
1015C2×D4—62no—
1016C2×D4—62no—
1017C2×D4—121no—
1018C2×D4—121no—
1019C2×D4—121no—
1020C2×D4—121no—
1021C2×D4—121no—
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—31no—
1035C22×C4—31no—
1036C22×C4—31no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—62no—
1041C22×C4—62no—
1042C22×C4—62no—
1043C22×C4—62no—
1044C22×C4—62no—
1045C22×C4—62no—
1046C22×C4—62no—
1047C22×C4—62no—
1048C22×C4—121no—
1049C22×C4—121no—
1050C22×C4—121no—
1051C22×C4—121no—
1052C22×C4—121no—
1053C22×C4—121no—
1054C22×C4—121no—
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—34no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
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—22no—
1100C22⋊C4—22no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
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—
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—34no—
1141C42—41no—
1142C42—62no—
1143C42—62no—
1144C42—62no—
1145C42—62no—
1146C42—62no—
1147C42—121no—
1148C42—121no—
1149C42—121no—
1150C42—121no—
1151C42—121no—
1152C42—121no—
1153C42—121no—
1154C42—121no—
1155C42—121no—
1156C22×C3—41no—
1157C22×C3—41no—
1158C22×C3—41no—
1159C22×C3—41no—
1160C22×C3—41no—
1161C22×C3—41no—
1162C22×C3—41no—
1163C22×C3—41no—
1164C22×C3—41no—
1165C22×C3—41no—
1166C22×C3—41no—
1167C22×C3—41no—
1168C22×C3—41no—
1169C22×C3—41no—
1170C22×C3—41no—
1171C22×C3—41no—
1172C22×C3—41no—
1173C22×C3—41no—
1174C22×C3—41no—
1175C22×C3—41no—
1176C22×C3—41no—
1177C22×C3C22×#4111yescharacteristic
1178C22×C3C22×#4111yescharacteristic
1179C22×C3C2×H(5,𝔽2)11yescharacteristic
1180C22×C3#58511yescharacteristic
1181C22×C3#58511yescharacteristic
1182C22×C3#58511yescharacteristic
1183C22×C3#58511yescharacteristic
1184C2×D3—22no—
1185C2×D3—22no—
1186C2×D3—22no—
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—
1203Dic3—22no—
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—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—32no—
1240C23—61no—
1241C23—61no—
1242C23—61no—
1243C23—61no—
1244C23—61no—
1245C23—61no—
1246C23C24×D311yescharacteristic
1247Q8—242no—
1248Q8—242no—
1249D4—82no—
1250D4—82no—
1251D4—82no—
1252D4—124no—
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—32no—
1290C2×C4—32no—
1291C2×C4—32no—
1292C2×C4—32no—
1293C2×C4—61no—
1294C2×C4—61no—
1295C2×C4—61no—
1296C2×C4—61no—
1297C2×C4—61no—
1298C2×C4—61no—
1299C2×C4—61no—
1300C2×C4—61no—
1301C2×C4—61no—
1302C2×C4—61no—
1303C2×C4—61no—
1304C2×C4—61no—
1305C2×C4—61no—
1306C2×C4—61no—
1307C2×C4—61no—
1308C2×C4—61no—
1309C2×C4—61no—
1310C2×C4—61no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—61no—
1321C2×C4—61no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—61no—
1332C2×C4—61no—
1333C2×C4—61no—
1334C2×C4—82no—
1335C2×C4—124no—
1336C2×C4—124no—
1337C2×C4—124no—
1338C2×C4—124no—
1339C2×C4—242no—
1340C2×C4D3×#4112yes—
1341C2×C4D3×#4112yes—
1342C2×C3—81no—
1343C2×C3—81no—
1344C2×C3—81no—
1345C2×C3#345511yescharacteristic
1346C2×C3#347511yescharacteristic
1347C2×C3#349411yescharacteristic
1348C2×C3#349411yescharacteristic
1349C2×C3#352411yescharacteristic
1350C2×C3#354511yescharacteristic
1351C2×C3#356611yescharacteristic
1352D3—42no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—62no—
1375C22—62no—
1376C22—62no—
1377C22—121no—
1378C22—121no—
1379C22—121no—
1380C22—121no—
1381C22C2×D3×#4111yescharacteristic
1382C22C2×D3×#4111yescharacteristic
1383C22#596411yescharacteristic
1384C22D3×H(5,𝔽2)11yescharacteristic
1385C22#596611yescharacteristic
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—62no—
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#3841311yescharacteristic, complemented, Sylow
1416C2—81no—
1417C2—81no—
1418C2—81no—
1419C2—122no—
1420C2#8641111yescharacteristic
1421C2#8646711yescharacteristic
1422C2#8648511yescharacteristic
1423C2#8679211yescharacteristic
1424C2#8687411yescharacteristic
1425C2#8689111yescharacteristic
1426C2#8709111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2753C2
prime radical#76720C2
hypercenter#2753D3
hypocenterC3#38413
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2753

Complements

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

NH ≅ G/Ntype
1. C3×#2753C2semidirect
2. #78369C2semidirect
3. #78207C2semidirect
4. #77528C2semidirect
5. #77496C2semidirect
6. #76990C2semidirect
7. #76990C2semidirect
8. #76952C2semidirect
9. #76939C2semidirect
10. #76921C2semidirect
11. #76902C2semidirect
13. #76696C2semidirect
14. #76474C2semidirect
15. #76397C2semidirect
16. #75925C2semidirect
17. #75736C2semidirect
18. #75639C2semidirect
19. #75590C2semidirect
20. #75586C2semidirect
21. #75473C2semidirect
22. #75463C2semidirect
23. #75449C2semidirect
24. #74925C2semidirect
25. #74768C2semidirect
26. #74757C2semidirect
27. #74680C2semidirect
28. #74473C2semidirect
29. #74389C2semidirect
30. #74202C2semidirect
31. #74147C2semidirect
191. #2753D3semidirect
1415. C3#38413semidirect

Maximal subgroups

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

subgroupindex
C3×#27532
#783692
#782072
#775282
#774962
#769902
#769522
#769392
#769212
#769022
#767202
#766962
#764742
#763972
#759252
#757362
#756392
#755902
#755862
#754732
#754632
#754492
#749252
#747682
#747572
#746802
#744732
#743892
#742022
#741472
#384133