Finite Group Databasebeta

← #11003474

Subgroups — #11003474

Order 768.

1574 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2532C211yesmaximal, characteristic, complemented
2#78400C211yesmaximal, characteristic, complemented
3#78253C211yesmaximal, characteristic, complemented
4#77885C211yesmaximal, characteristic, complemented
5#77878C211yesmaximal, characteristic, complemented
6#77724C211yesmaximal, characteristic, complemented
7#77629C211yesmaximal, characteristic, complemented
8#76879C211yesmaximal, characteristic, complemented
9#76827C211yesmaximal, characteristic, complemented
10#76663C211yesmaximal, characteristic, complemented
11#76654C211yesmaximal, characteristic, complemented
12#76576C211yesmaximal, characteristic, complemented
13#76516C211yesmaximal, characteristic, complemented
14#75957C211yesmaximal, characteristic, complemented
15#75952C211yesmaximal, characteristic, complemented
16#75902C211yesmaximal, characteristic
17#75830C211yesmaximal, characteristic, complemented
18#75782C211yesmaximal, characteristic, complemented
19#75734C211yesmaximal, characteristic, complemented
20#75690C211yesmaximal, characteristic, complemented
21#75638C211yesmaximal, characteristic, complemented
22#75612C211yesmaximal, characteristic, complemented
23#75525C211yesmaximal, characteristic, complemented
24#75379C211yesmaximal, characteristic, complemented
25#75084C211yesmaximal, characteristic, complemented
26#74313C211yesmaximal, characteristic, complemented
27#74280C211yesmaximal, characteristic, complemented
28#73764C211yesmaximal, characteristic, complemented
29#73739C211yesmaximal, characteristic, complemented
30#73414C211yesmaximal, characteristic, complemented
31#73400C211yesmaximal, characteristic, complemented
32#36774—31nomaximal, Sylow
33C2×#946C2211yescharacteristic
34C2×#946C2211yescharacteristic
35C2×#896C2211yescharacteristic
36C2×#886C2211yescharacteristic
37C2×#885C2211yescharacteristic
38C2×#884C2211yescharacteristic
39C2×C4×D12C2211yescharacteristic
40C2×#872C2211yescharacteristic
41C2×C42×D3C2211yescharacteristic
42C3×#400C2211yescharacteristic
43C3×#398C2211yescharacteristic
44C3×#397C2211yescharacteristic
45C3×#393C2211yescharacteristic
46C3×#391C2211yescharacteristic
47C3×#391C2211yescharacteristic
48C3×#388C2211yescharacteristic
49C3×#388C2211yescharacteristic
50C3×#388C2211yescharacteristic
51C3×#388C2211yescharacteristic
52C3×#388C2211yescharacteristic
53C3×#387C2211yescharacteristic
54C3×#383C2211yescharacteristic
55C3×C4×C4⋊C4C2211yescharacteristic
56C3×#376C2211yescharacteristic
57#5231C2211yescharacteristic
58#5229C2211yescharacteristic
59#4993C2211yescharacteristic
60#4992C2211yescharacteristic
61#4991C2211yescharacteristic
62#4991C2211yescharacteristic
63#4991C2211yescharacteristic
64#4991C2211yescharacteristic
65#4990C2211yescharacteristic
66#4990C2211yescharacteristic
67#4990C2211yescharacteristic
68#4989C2211yescharacteristic
69#4988C2211yescharacteristic
70#4987C2211yescharacteristic
71#4986C2211yescharacteristic
72#4984C2211yescharacteristic
73#4982C2211yescharacteristic
74#4981C2211yescharacteristic
75#4980C2211yescharacteristic
76#4980C2211yescharacteristic
77#4980C2211yescharacteristic
78#4978C2211yescharacteristic
79#4978C2211yescharacteristic
80#4978C2211yescharacteristic
81#4977C2211yescharacteristic
82#4961C2211yescharacteristic
83#4961C2211yescharacteristic
84#4960C2211yescharacteristic
85#4960C2211yescharacteristic
86#4959C2211yescharacteristic
87#4959C2211yescharacteristic
88#4958C2211yescharacteristic
89#4958C2211yescharacteristic
90#4957C2211yescharacteristic
91#4957C2211yescharacteristic
92#4957C2211yescharacteristic
93#4956C2211yescharacteristic
94#4956C2211yescharacteristic
95#4956C2211yescharacteristic
96#4956C2211yescharacteristic
97#4953C2211yescharacteristic
98#4952C2211yescharacteristic
99#4952C2211yescharacteristic
100#4951C2211yescharacteristic
101#4950C2211yescharacteristic
102#4948C2211yescharacteristic
103#4946C2211yescharacteristic
104#4945C2211yescharacteristic
105#4942C2211yescharacteristic
106Dic3×C22⋊C4C2211yescharacteristic
107#4940C2211yescharacteristic
108#4940C2211yescharacteristic
109#4940C2211yescharacteristic
110#4940C2211yescharacteristic
111#4940C2211yescharacteristic
112#4940C2211yescharacteristic
113#4940C2211yescharacteristic
114#4939C2211yescharacteristic
115C4×(C2×D3)⋊C4C2211yescharacteristic
116C4×(C2×D3)⋊C4C2211yescharacteristic
117C4×C4⋊Dic3C2211yescharacteristic
118#4933C2211yescharacteristic
119#4933C2211yescharacteristic
120#4933C2211yescharacteristic
121C4×Dic3⋊C4C2211yescharacteristic
122#4929C2211yescharacteristic
123#4928C2211yescharacteristic
124#4677C2211yescharacteristic
125#4676C2211yescharacteristic
126#4675C2211yescharacteristic
127#4675C2211yescharacteristic
128#4675C2211yescharacteristic
129#4675C2211yescharacteristic
130#4675C2211yescharacteristic
131#4675C2211yescharacteristic
132#4675C2211yescharacteristic
133#4674C2211yescharacteristic
134#4674C2211yescharacteristic
135#4673C2211yescharacteristic
136#4672C2211yescharacteristic
137#4671C2211yescharacteristic
138#4670C2211yescharacteristic
139#4670C2211yescharacteristic
140#4670C2211yescharacteristic
141#4670C2211yescharacteristic
142#4670C2211yescharacteristic
143#4669C2211yescharacteristic
144#4669C2211yescharacteristic
145#4668C2211yescharacteristic
146#4668C2211yescharacteristic
147#4668C2211yescharacteristic
148#4668C2211yescharacteristic
149#4668C2211yescharacteristic
150#4668C2211yescharacteristic
151#4666C2211yescharacteristic
152#4665C2211yescharacteristic
153#4665C2211yescharacteristic
154#4665C2211yescharacteristic
155#4665C2211yescharacteristic
156#4665C2211yescharacteristic
157#4665C2211yescharacteristic
158#4665C2211yescharacteristic
159#4664C2211yescharacteristic
160#4664C2211yescharacteristic
161#4664C2211yescharacteristic
162#4660C2211yescharacteristic
163#4660C2211yescharacteristic
164#4660C2211yescharacteristic
165#4660C2211yescharacteristic
166#4659C2211yescharacteristic
167#4659C2211yescharacteristic
168#4659C2211yescharacteristic
169#4658C2211yescharacteristic
170#4657C2211yescharacteristic
171#4656C2211yescharacteristic
172#4655C2211yescharacteristic
173#4654C2211yescharacteristic
174#4654C2211yescharacteristic
175#4654C2211yescharacteristic
176#4653C2211yescharacteristic
177#4653C2211yescharacteristic
178#4652C2211yescharacteristic
179#4652C2211yescharacteristic
180#4652C2211yescharacteristic
181#4652C2211yescharacteristic
182#4651C2211yescharacteristic
183#4650C2211yescharacteristic
184#4650C2211yescharacteristic
185#4647C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2855—31no—
189#2850—31no—
190#2797—31no—
191#2796—31no—
192#2786—31no—
193#2786—31no—
194#2782—31no—
195#2767—31no—
196#2758—31no—
197#2756—31no—
198#2754—31no—
199#2754—31no—
200#2753—31no—
201#2749—31no—
202#2728—31no—
203#2710—31no—
204#2700—31no—
205#2696—31no—
206#2638—31no—
207#2635—31no—
208#2597—31no—
209#2595—31no—
210#2577—31no—
211#2575—31no—
212#2532D311yescharacteristic, complemented
213#2529—31no—
214#2477—31no—
215#2470—31no—
216#2333—31no—
217#2332—31no—
218#2290—31no—
219C22×C3×Q8C2311yescharacteristic
220C22×#67C2311yescharacteristic
221C22×#67C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C23×Dic3C2311yescharacteristic
224C22×D12C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×D12C2311yescharacteristic
227C22×C4×D3C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×Dic6C2311yescharacteristic
233C2×C3×C4⋊C4C2311yescharacteristic
234C2×C3×C4⋊C4C2311yescharacteristic
235C2×C3×C4⋊C4C2311yescharacteristic
236C2×C3×C4⋊C4C2311yescharacteristic
237C2×C3×C4⋊C4C2311yescharacteristic
238C2×C3×C4⋊C4C2311yescharacteristic
239C2×C3×C22⋊C4C2311yescharacteristic
240C2×C3×C22⋊C4C2311yescharacteristic
241C2×C3×C22⋊C4C2311yescharacteristic
242C2×C3×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C42C2311yescharacteristic
247C2×C3×C42C2311yescharacteristic
248C2×C3×C42C2311yescharacteristic
249C2×C3×C42C2311yescharacteristic
250C2×C3×C42C2311yescharacteristic
251C2×#217C2311yescharacteristic
252C2×#217C2311yescharacteristic
253C2×#217C2311yescharacteristic
254C2×#217C2311yescharacteristic
255#946—42no—
256#946—42no—
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×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297C2×Dic3⋊C4C2311yescharacteristic
298C2×Dic3⋊C4C2311yescharacteristic
299C2×Dic3⋊C4C2311yescharacteristic
300C2×Dic3⋊C4C2311yescharacteristic
301C2×Dic3⋊C4C2311yescharacteristic
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×C4×Dic3C2311yescharacteristic
313C2×C4×Dic3C2311yescharacteristic
314C2×C4×Dic3C2311yescharacteristic
315C2×C4×Dic3C2311yescharacteristic
316C2×C4×Dic3C2311yescharacteristic
317C2×C4×Dic3C2311yescharacteristic
318C2×C4×Dic3C2311yescharacteristic
319C2×C4×Dic3C2311yescharacteristic
320#896—24no—
321#886—42no—
322#885—42no—
323#884—24no—
324C4×D12—24no—
325#872—42no—
326C42×D3—42no—
327C3×#95C2311yescharacteristic
328C3×#95C2311yescharacteristic
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
383C2×#124—31no—
384C2×#123—31no—
385C2×C22⋊Q8—31no—
386C2×C22⋊Q8—31no—
387C2×C22⋊Q8—31no—
388C2×#121—31no—
389C2×C4×D4—31no—
390C2×#117—31no—
391C22×C42—31no—
392#400—31no—
393#400—31no—
394#400—31no—
395#400—31no—
396#400—31no—
397#400—31no—
398#400—31no—
399#400—31no—
400#400—31no—
401#400C2×D311yescharacteristic
402#399—31no—
403#399—31no—
404#398—31no—
405#398—31no—
406#398—31no—
407#398C2×D311yescharacteristic
408#397—31no—
409#397—31no—
410#397—31no—
411#397—31no—
412#397—31no—
413#397—31no—
414#397—31no—
415#397—31no—
416#397—31no—
417#397—31no—
418#397—31no—
419#397—31no—
420#397—31no—
421#397C2×D311yescharacteristic
422#396—31no—
423#396—31no—
424#395—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#394—31no—
434#393—31no—
435#393—31no—
436#393C2×D311yescharacteristic
437#392—31no—
438#392—31no—
439#392—31no—
440#391—31no—
441#391—31no—
442#391—31no—
443#391—31no—
444#391C2×D311yescharacteristic
445#391C2×D311yescharacteristic
446#390—31no—
447#390—31no—
448#390—31no—
449#390—31no—
450#390—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#388C2×D311yescharacteristic
474#388C2×D311yescharacteristic
475#388C2×D311yescharacteristic
476#388C2×D311yescharacteristic
477#388C2×D311yescharacteristic
478#387—31no—
479#387—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387C2×D311yescharacteristic
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#383—31no—
521#383C2×D311yescharacteristic
522#382—31no—
523#382—31no—
524#382—31no—
525#381—31no—
526#381—31no—
527#381—31no—
528#380—31no—
529#380—31no—
530C4×C4⋊C4—31no—
531C4×C4⋊C4—31no—
532C4×C4⋊C4C2×D311yescharacteristic
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4—31no—
536C4×C22⋊C4—31no—
537#376C2×D311yescharacteristic
538C24×C3C2411yescharacteristic
539C23×D3C2411yescharacteristic
540C23×D3C2411yescharacteristic
541C23×D3C2411yescharacteristic
542C2×C3×Q8—22no—
543C2×C3×Q8—41no—
544C2×C3×Q8—41no—
545C22×C3×C4C2411yescharacteristic
546C22×C3×C4C2411yescharacteristic
547C22×C3×C4C2411yescharacteristic
548C22×C3×C4C2411yescharacteristic
549C22×C3×C4C2411yescharacteristic
550C22×C3×C4C2411yescharacteristic
551C22×C3×C4C2411yescharacteristic
552C22×C3×C4C2411yescharacteristic
553C22×C3×C4C2411yescharacteristic
554C22×C3×C4C2411yescharacteristic
555C22×C3×C4C2411yescharacteristic
556C22×C3×C4C2411yescharacteristic
557C22×C3×C4C2411yescharacteristic
558C22×C3×C4C2411yescharacteristic
559C2×#67—22no—
560C2×#67—22no—
561C2×#67—41no—
562C2×#67—41no—
563C2×#67—41no—
564C2×#67—41no—
565C2×#67—41no—
566C2×#67—41no—
567C2×#67—41no—
568C22×Dic3—41no—
569C22×Dic3—41no—
570C22×Dic3—41no—
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—41no—
587C2×D12—41no—
588C2×D12—41no—
589C2×D12—41no—
590C2×D12—41no—
591C2×D12—41no—
592C2×D12—41no—
593C2×C4×D3—22no—
594C2×C4×D3—22no—
595C2×C4×D3—41no—
596C2×C4×D3—41no—
597C2×C4×D3—41no—
598C2×C4×D3—41no—
599C2×C4×D3—41no—
600C2×C4×D3—41no—
601C2×C4×D3—41no—
602C2×C4×D3—41no—
603C2×C4×D3—41no—
604C2×C4×D3—41no—
605C2×C4×D3—41no—
606C2×C4×D3—41no—
607C2×C4×D3#4114yes—
608C2×Dic6—22no—
609C2×Dic6—41no—
610C2×Dic6—41no—
611C3×C4⋊C4—22no—
612C3×C4⋊C4—41no—
613C3×C4⋊C4—41no—
614C3×C4⋊C4—41no—
615C3×C4⋊C4—41no—
616C3×C4⋊C4—41no—
617C3×C22⋊C4—22no—
618C3×C22⋊C4—22no—
619C3×C22⋊C4—41no—
620C3×C22⋊C4—41no—
621C3×C22⋊C4—41no—
622C3×C22⋊C4—41no—
623C3×C22⋊C4—41no—
624C3×C42—22no—
625C3×C42—22no—
626C3×C42—41no—
627C3×C42—41no—
628C3×C42—41no—
629#217—41no—
630#217—41no—
631#217—41no—
632#217—41no—
633(C2×D3)⋊C4—22no—
634(C2×D3)⋊C4—22no—
635(C2×D3)⋊C4—22no—
636(C2×D3)⋊C4—22no—
637(C2×D3)⋊C4—22no—
638(C2×D3)⋊C4—22no—
639(C2×D3)⋊C4—22no—
640(C2×D3)⋊C4—41no—
641(C2×D3)⋊C4—41no—
642(C2×D3)⋊C4—41no—
643(C2×D3)⋊C4—41no—
644(C2×D3)⋊C4—41no—
645(C2×D3)⋊C4—41no—
646(C2×D3)⋊C4—41no—
647(C2×D3)⋊C4—41no—
648(C2×D3)⋊C4—41no—
649(C2×D3)⋊C4—41no—
650(C2×D3)⋊C4—41no—
651(C2×D3)⋊C4—41no—
652(C2×D3)⋊C4—41no—
653(C2×D3)⋊C4—41no—
654(C2×D3)⋊C4—41no—
655(C2×D3)⋊C4—41no—
656(C2×D3)⋊C4—41no—
657(C2×D3)⋊C4—41no—
658(C2×D3)⋊C4—41no—
659(C2×D3)⋊C4—41no—
660(C2×D3)⋊C4—41no—
661(C2×D3)⋊C4—41no—
662(C2×D3)⋊C4—41no—
663(C2×D3)⋊C4—41no—
664C4⋊Dic3—22no—
665C4⋊Dic3—22no—
666C4⋊Dic3—41no—
667C4⋊Dic3—41no—
668C4⋊Dic3—41no—
669C4⋊Dic3—41no—
670C4⋊Dic3—41no—
671C4⋊Dic3—41no—
672C4⋊Dic3—41no—
673Dic3⋊C4—22no—
674Dic3⋊C4—22no—
675Dic3⋊C4—22no—
676Dic3⋊C4—22no—
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—41no—
688C4×Dic3—22no—
689C4×Dic3—41no—
690C4×Dic3—41no—
691C4×Dic3—41no—
692C4×Dic3—41no—
693C4×Dic3—41no—
694C4×Dic3—41no—
695C4×Dic3—41no—
696C22×Q8—31no—
697C22×Q8C22×D311yescharacteristic
698C22×D4—31no—
699C22×D4—31no—
700C22×D4—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—
710#124—122no—
711#123—122no—
712C22⋊Q8—64no—
713C22⋊Q8—122no—
714C22⋊Q8—122no—
715#121—64no—
716C4×D4—64no—
717#117—122no—
718C2×C4⋊C4—31no—
719C2×C4⋊C4—31no—
720C2×C4⋊C4—31no—
721C2×C4⋊C4—31no—
722C2×C4⋊C4—31no—
723C2×C4⋊C4—31no—
724C2×C4⋊C4—31no—
725C2×C4⋊C4—31no—
726C2×C4⋊C4—31no—
727C2×C4⋊C4—31no—
728C2×C4⋊C4—31no—
729C2×C4⋊C4—31no—
730C2×C4⋊C4—31no—
731C2×C4⋊C4—31no—
732C2×C4⋊C4—31no—
733C2×C4⋊C4—31no—
734C2×C4⋊C4—31no—
735C2×C4⋊C4—31no—
736C2×C4⋊C4—31no—
737C2×C4⋊C4—31no—
738C2×C4⋊C4—31no—
739C2×C4⋊C4—31no—
740C2×C4⋊C4—31no—
741C2×C4⋊C4—31no—
742C2×C4⋊C4C22×D311yescharacteristic
743C2×C4⋊C4C22×D311yescharacteristic
744C2×C4⋊C4C22×D311yescharacteristic
745C2×C4⋊C4C22×D311yescharacteristic
746C2×C4⋊C4C22×D311yescharacteristic
747C2×C4⋊C4C22×D311yescharacteristic
748C2×C22⋊C4—31no—
749C2×C22⋊C4—31no—
750C2×C22⋊C4—31no—
751C2×C22⋊C4—31no—
752C2×C22⋊C4—31no—
753C2×C22⋊C4—31no—
754C2×C22⋊C4—31no—
755C2×C22⋊C4—31no—
756C2×C22⋊C4—31no—
757C2×C22⋊C4—31no—
758C2×C22⋊C4—31no—
759C2×C22⋊C4—31no—
760C2×C22⋊C4—31no—
761C2×C22⋊C4—31no—
762C2×C22⋊C4—31no—
763C2×C22⋊C4—31no—
764C2×C22⋊C4—31no—
765C2×C22⋊C4—31no—
766C2×C22⋊C4—31no—
767C2×C22⋊C4—31no—
768C2×C22⋊C4—31no—
769C2×C22⋊C4—31no—
770C2×C22⋊C4—31no—
771C2×C22⋊C4—31no—
772C2×C22⋊C4—31no—
773C2×C22⋊C4—31no—
774C2×C22⋊C4—31no—
775C2×C22⋊C4—31no—
776C2×C22⋊C4—31no—
777C2×C22⋊C4—31no—
778C2×C22⋊C4—31no—
779C2×C22⋊C4—31no—
780C2×C22⋊C4—31no—
781C2×C22⋊C4—31no—
782C2×C22⋊C4—31no—
783C2×C22⋊C4C22×D311yescharacteristic
784C2×C22⋊C4C22×D311yescharacteristic
785C2×C22⋊C4C22×D311yescharacteristic
786C2×C22⋊C4C22×D311yescharacteristic
787C2×C22⋊C4C22×D311yescharacteristic
788C2×C22⋊C4C22×D311yescharacteristic
789C2×C22⋊C4C22×D311yescharacteristic
790C2×C42—31no—
791C2×C42—31no—
792C2×C42—31no—
793C2×C42—31no—
794C2×C42—31no—
795C2×C42—31no—
796C2×C42—31no—
797C2×C42—31no—
798C2×C42—122no—
799C2×C42C22×D311yescharacteristic
800C2×C42C22×D311yescharacteristic
801C2×C42C22×D311yescharacteristic
802C2×C42C22×D311yescharacteristic
803C2×C42C22×D311yescharacteristic
804#95—31no—
805#95—31no—
806#95—31no—
807#95—31no—
808#95—31no—
809#95—31no—
810#95—31no—
811#95—31no—
812#95—31no—
813#95—31no—
814#95—31no—
815#95—31no—
816#95—31no—
817#95—31no—
818#95—31no—
819#95—31no—
820#95—31no—
821#95—31no—
822#95—31no—
823#95—31no—
824#95—31no—
825#95—31no—
826#95—31no—
827#95—31no—
828#95—31no—
829#95—31no—
830#95—31no—
831#95—31no—
832#95—31no—
833#95—31no—
834#95—31no—
835#95—31no—
836#95—31no—
837#95—31no—
838#95—31no—
839#95—31no—
840#95—31no—
841#95—31no—
842#95—31no—
843#95—31no—
844#95C22×D311yescharacteristic
845#95C22×D311yescharacteristic
846#95C22×D311yescharacteristic
847#95C22×D311yescharacteristic
848#95C22×D311yescharacteristic
849#95C22×D311yescharacteristic
850#95C22×D311yescharacteristic
851#95C22×D311yescharacteristic
852#95C22×D311yescharacteristic
853#95C22×D311yescharacteristic
854#95C22×D311yescharacteristic
855#95C22×D311yescharacteristic
856#95C22×D311yescharacteristic
857#95C22×D311yescharacteristic
858#95C22×D311yescharacteristic
859#95C22×D311yescharacteristic
860C23×C3—21no—
861C23×C3—21no—
862C23×C3—21no—
863C23×C3—21no—
864C23×C3—21no—
865C23×C3—21no—
866C23×C3—21no—
867C23×C3C2511yescharacteristic
868C22×D3—21no—
869C22×D3—21no—
870C22×D3—21no—
871C22×D3—21no—
872C22×D3—21no—
873C22×D3—21no—
874C22×D3—21no—
875C22×D3—21no—
876C22×D3—21no—
877C22×D3—21no—
878C22×D3—21no—
879C22×D3—21no—
880C22×D3—21no—
881C22×D3—21no—
882C22×D3—21no—
883C22×D3—21no—
884C22×D3—21no—
885C22×D3—21no—
886C22×D3—21no—
887C22×D3—21no—
888C22×D3C2×#4112yes—
889C3×Q8—82no—
890C2×C3×C4—21no—
891C2×C3×C4—21no—
892C2×C3×C4—21no—
893C2×C3×C4—21no—
894C2×C3×C4—21no—
895C2×C3×C4—21no—
896C2×C3×C4—21no—
897C2×C3×C4—21no—
898C2×C3×C4—21no—
899C2×C3×C4—21no—
900C2×C3×C4—21no—
901C2×C3×C4—21no—
902C2×C3×C4—21no—
903C2×C3×C4—21no—
904C2×C3×C4—21no—
905C2×C3×C4—21no—
906C2×C3×C4—21no—
907C2×C3×C4—21no—
908C2×C3×C4—21no—
909C2×C3×C4—21no—
910C2×C3×C4—21no—
911C2×C3×C4—21no—
912C2×C3×C4—21no—
913C2×C3×C4—21no—
914C2×C3×C4—21no—
915C2×C3×C4—21no—
916C2×C3×C4—21no—
917C2×C3×C4—21no—
918C2×C3×C4—21no—
919C2×C3×C4—21no—
920C2×C3×C4—21no—
921C2×C3×C4—21no—
922C2×C3×C4—21no—
923C2×C3×C4—21no—
924C2×C3×C4—21no—
925C2×C3×C4—21no—
926C2×C3×C4—21no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—21no—
930C2×C3×C4C2×#4112yes—
931C2×C3×C4H(5,𝔽2)12yes—
932#67—82no—
933#67—82no—
934#67—82no—
935C2×Dic3—21no—
936C2×Dic3—21no—
937C2×Dic3—21no—
938C2×Dic3—21no—
939C2×Dic3—21no—
940C2×Dic3—21no—
941C2×Dic3—21no—
942C2×Dic3—21no—
943C2×Dic3—21no—
944C2×Dic3—21no—
945C2×Dic3—21no—
946C2×Dic3—21no—
947C2×Dic3—21no—
948C2×Dic3—21no—
949C2×Dic3—21no—
950C2×Dic3—21no—
951C2×Dic3—21no—
952C2×Dic3—21no—
953C2×Dic3—21no—
954C2×Dic3—21no—
955C2×Dic3—21no—
956C2×Dic3—21no—
957C2×Dic3—21no—
958C2×Dic3—21no—
959C2×Dic3—21no—
960C2×Dic3—21no—
961C2×Dic3—21no—
962C2×Dic3—21no—
963C2×Dic3—21no—
964C2×Dic3—21no—
965C2×Dic3—21no—
966C2×Dic3—21no—
967C2×Dic3—21no—
968C2×Dic3—21no—
969C2×Dic3—21no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—82no—
974C2×Dic3C2×#4112yes—
975D12—44no—
976D12—82no—
977D12—82no—
978C4×D3—44no—
979C4×D3—44no—
980C4×D3—44no—
981C4×D3—44no—
982C4×D3—82no—
983Dic6—82no—
984C24—31no—
985C24—31no—
986C24—31no—
987C24C23×D311yescharacteristic
988C2×Q8—22no—
989C2×Q8—41no—
990C2×Q8—41no—
991C2×Q8—62no—
992C2×Q8—121no—
993C2×Q8—121no—
994C2×D4—62no—
995C2×D4—62no—
996C2×D4—62no—
997C2×D4—62no—
998C2×D4—121no—
999C2×D4—121no—
1000C2×D4—121no—
1001C2×D4—121no—
1002C2×D4—121no—
1003C2×D4—121no—
1004C2×D4—121no—
1005C2×D4—121no—
1006C2×D4—121no—
1007C2×D4—121no—
1008C2×D4—121no—
1009C2×D4—121no—
1010C2×D4—121no—
1011C2×D4—121no—
1012C22×C4—31no—
1013C22×C4—34no—
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—31no—
1023C22×C4—31no—
1024C22×C4—31no—
1025C22×C4—31no—
1026C22×C4—62no—
1027C22×C4—62no—
1028C22×C4—121no—
1029C22×C4—121no—
1030C22×C4—121no—
1031C22×C4—121no—
1032C22×C4—121no—
1033C22×C4—121no—
1034C22×C4—121no—
1035C22×C4—121no—
1036C22×C4—121no—
1037C22×C4—121no—
1038C22×C4—121no—
1039C22×C4—121no—
1040C22×C4—121no—
1041C22×C4—121no—
1042C22×C4—121no—
1043C22×C4C23×D311yescharacteristic
1044C22×C4C23×D311yescharacteristic
1045C22×C4C23×D311yescharacteristic
1046C22×C4C23×D311yescharacteristic
1047C22×C4C23×D311yescharacteristic
1048C22×C4C23×D311yescharacteristic
1049C22×C4C23×D311yescharacteristic
1050C22×C4C23×D311yescharacteristic
1051C22×C4C23×D311yescharacteristic
1052C22×C4C23×D311yescharacteristic
1053C22×C4C23×D311yescharacteristic
1054C22×C4C23×D311yescharacteristic
1055C22×C4C23×D311yescharacteristic
1056C22×C4C23×D311yescharacteristic
1057C4⋊C4—22no—
1058C4⋊C4—41no—
1059C4⋊C4—41no—
1060C4⋊C4—41no—
1061C4⋊C4—41no—
1062C4⋊C4—41no—
1063C4⋊C4—62no—
1064C4⋊C4—62no—
1065C4⋊C4—62no—
1066C4⋊C4—62no—
1067C4⋊C4—62no—
1068C4⋊C4—62no—
1069C4⋊C4—121no—
1070C4⋊C4—121no—
1071C4⋊C4—121no—
1072C4⋊C4—121no—
1073C4⋊C4—121no—
1074C4⋊C4—121no—
1075C4⋊C4—121no—
1076C4⋊C4—121no—
1077C4⋊C4—121no—
1078C4⋊C4—121no—
1079C4⋊C4—121no—
1080C4⋊C4—121no—
1081C4⋊C4—121no—
1082C4⋊C4—121no—
1083C4⋊C4—121no—
1084C4⋊C4—121no—
1085C4⋊C4—121no—
1086C4⋊C4—121no—
1087C22⋊C4—22no—
1088C22⋊C4—22no—
1089C22⋊C4—41no—
1090C22⋊C4—41no—
1091C22⋊C4—41no—
1092C22⋊C4—41no—
1093C22⋊C4—41no—
1094C22⋊C4—62no—
1095C22⋊C4—62no—
1096C22⋊C4—62no—
1097C22⋊C4—62no—
1098C22⋊C4—62no—
1099C22⋊C4—62no—
1100C22⋊C4—62no—
1101C22⋊C4—121no—
1102C22⋊C4—121no—
1103C22⋊C4—121no—
1104C22⋊C4—121no—
1105C22⋊C4—121no—
1106C22⋊C4—121no—
1107C22⋊C4—121no—
1108C22⋊C4—121no—
1109C22⋊C4—121no—
1110C22⋊C4—121no—
1111C22⋊C4—121no—
1112C22⋊C4—121no—
1113C22⋊C4—121no—
1114C22⋊C4—121no—
1115C22⋊C4—121no—
1116C22⋊C4—121no—
1117C22⋊C4—121no—
1118C22⋊C4—121no—
1119C22⋊C4—121no—
1120C22⋊C4—121no—
1121C22⋊C4—121no—
1122C22⋊C4—121no—
1123C22⋊C4—121no—
1124C22⋊C4—121no—
1125C22⋊C4—121no—
1126C22⋊C4—121no—
1127C22⋊C4—121no—
1128C22⋊C4—121no—
1129C42—22no—
1130C42—22no—
1131C42—41no—
1132C42—41no—
1133C42—41no—
1134C42—62no—
1135C42—121no—
1136C42—121no—
1137C42—121no—
1138C42—121no—
1139C42—121no—
1140C42—121no—
1141C42—121no—
1142C22×C3—41no—
1143C22×C3—41no—
1144C22×C3—41no—
1145C22×C3—41no—
1146C22×C3—41no—
1147C22×C3—41no—
1148C22×C3—41no—
1149C22×C3C22×#4111yescharacteristic
1150C22×C3C2×H(5,𝔽2)11yescharacteristic
1151C22×C3#58511yescharacteristic
1152C22×C3#58511yescharacteristic
1153C22×C3#58511yescharacteristic
1154C22×C3#58511yescharacteristic
1155C22×C3#58511yescharacteristic
1156C2×D3—22no—
1157C2×D3—22no—
1158C2×D3—22no—
1159C2×D3—41no—
1160C2×D3—41no—
1161C2×D3—41no—
1162C2×D3—41no—
1163C2×D3—41no—
1164C2×D3—41no—
1165C2×D3—41no—
1166C2×D3—41no—
1167C2×D3—41no—
1168C2×D3—41no—
1169C2×D3—41no—
1170C2×D3—41no—
1171C2×D3—41no—
1172C2×D3—41no—
1173C2×D3—41no—
1174C2×D3—41no—
1175C2×D3—41no—
1176C2×D3—41no—
1177C3×C4—22no—
1178C3×C4—22no—
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—
1189C3×C4—41no—
1190C3×C4—41no—
1191Dic3—22no—
1192Dic3—41no—
1193Dic3—41no—
1194Dic3—41no—
1195Dic3—41no—
1196Dic3—41no—
1197Dic3—41no—
1198Dic3—41no—
1199Dic3—41no—
1200Dic3—41no—
1201Dic3—41no—
1202Dic3—41no—
1203Dic3—41no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—32no—
1212C23—61no—
1213C23—61no—
1214C23—61no—
1215C23—61no—
1216C23—61no—
1217C23—61no—
1218C23—61no—
1219C23—61no—
1220C23—61no—
1221C23—61no—
1222C23—61no—
1223C23—61no—
1224C23—61no—
1225C23—61no—
1226C23—61no—
1227C23—61no—
1228C23—61no—
1229C23—61no—
1230C23—61no—
1231C23—61no—
1232C23C24×D311yescharacteristic
1233Q8—82no—
1234Q8—242no—
1235D4—124no—
1236D4—242no—
1237D4—242no—
1238D4—242no—
1239D4—242no—
1240D4—242no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—32no—
1282C2×C4—61no—
1283C2×C4—61no—
1284C2×C4—61no—
1285C2×C4—61no—
1286C2×C4—61no—
1287C2×C4—61no—
1288C2×C4—61no—
1289C2×C4—61no—
1290C2×C4—61no—
1291C2×C4—61no—
1292C2×C4—61no—
1293C2×C4—61no—
1294C2×C4—61no—
1295C2×C4—61no—
1296C2×C4—61no—
1297C2×C4—61no—
1298C2×C4—61no—
1299C2×C4—61no—
1300C2×C4—61no—
1301C2×C4—61no—
1302C2×C4—61no—
1303C2×C4—61no—
1304C2×C4—61no—
1305C2×C4—61no—
1306C2×C4—61no—
1307C2×C4—61no—
1308C2×C4—61no—
1309C2×C4—61no—
1310C2×C4—61no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—124no—
1321C2×C4—124no—
1322C2×C4—124no—
1323C2×C4—124no—
1324C2×C4—242no—
1325C2×C4—242no—
1326C2×C4D3×#4112yes—
1327C2×C4#100912yes—
1328C2×C3—81no—
1329C2×C3#345511yescharacteristic
1330C2×C3#350511yescharacteristic
1331C2×C3#351011yescharacteristic
1332C2×C3#353311yescharacteristic
1333C2×C3#354011yescharacteristic
1334C2×C3#356611yescharacteristic
1335C2×C3#356711yescharacteristic
1336D3—42no—
1337D3—81no—
1338D3—81no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—62no—
1347C22—62no—
1348C22—62no—
1349C22—121no—
1350C22—121no—
1351C22—121no—
1352C22—121no—
1353C22—121no—
1354C22—121no—
1355C22—121no—
1356C22—121no—
1357C22—121no—
1358C22—121no—
1359C22—121no—
1360C22—121no—
1361C22—121no—
1362C22—121no—
1363C22—121no—
1364C22—121no—
1365C22—121no—
1366C22—121no—
1367C22C2×D3×#4111yescharacteristic
1368C22C2×#100911yescharacteristic
1369C22#596411yescharacteristic
1370C22#596411yescharacteristic
1371C22#596411yescharacteristic
1372C22#596611yescharacteristic
1373C22#596811yescharacteristic
1374C4—22no—
1375C4—22no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—62no—
1389C4—121no—
1390C4—121no—
1391C4—121no—
1392C4—121no—
1393C4—121no—
1394C4—121no—
1395C4—121no—
1396C4—121no—
1397C4—121no—
1398C4—121no—
1399C4—121no—
1400C4—121no—
1401C3#3677411yescharacteristic, complemented, Sylow
1402C2—81no—
1403C2—122no—
1404C2—241no—
1405C2—241no—
1406C2#8614611yescharacteristic
1407C2#8615811yescharacteristic
1408C2#8655211yescharacteristic
1409C2#8681911yescharacteristic
1410C2#8685711yescharacteristic
1411C2#8697811yescharacteristic
1412C2#8700811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2532C2
prime radical#75902C2
hypercenter#2532D3
hypocenterC3#36774
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2532

Complements

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

NH ≅ G/Ntype
1. C3×#2532C2semidirect
2. #78400C2semidirect
3. #78253C2semidirect
4. #77885C2semidirect
5. #77878C2semidirect
6. #77724C2semidirect
7. #77629C2semidirect
8. #76879C2semidirect
9. #76827C2semidirect
10. #76663C2semidirect
11. #76654C2semidirect
12. #76576C2semidirect
13. #76516C2semidirect
14. #75957C2semidirect
15. #75952C2semidirect
17. #75830C2semidirect
18. #75782C2semidirect
19. #75734C2semidirect
20. #75690C2semidirect
21. #75638C2semidirect
22. #75612C2semidirect
23. #75525C2semidirect
24. #75379C2semidirect
25. #75084C2semidirect
26. #74313C2semidirect
27. #74280C2semidirect
28. #73764C2semidirect
29. #73739C2semidirect
30. #73414C2semidirect
31. #73400C2semidirect
212. #2532D3semidirect
1401. C3#36774semidirect

Maximal subgroups

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

subgroupindex
C3×#25322
#784002
#782532
#778852
#778782
#777242
#776292
#768792
#768272
#766632
#766542
#765762
#765162
#759572
#759522
#759022
#758302
#757822
#757342
#756902
#756382
#756122
#755252
#753792
#750842
#743132
#742802
#737642
#737392
#734142
#734002
#367743