Finite Group Databasebeta

← #11003664

Subgroups — #11003664

Order 768.

1690 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2737C211yesmaximal, characteristic, complemented
2#77688C211yesmaximal, characteristic, complemented
3#77674C211yesmaximal, characteristic, complemented
4#77638C211yesmaximal, characteristic, complemented
5#77608C211yesmaximal, characteristic, complemented
6#77271C211yesmaximal, characteristic, complemented
7#77174C211yesmaximal, characteristic, complemented
8#77145C211yesmaximal, characteristic, complemented
9#77121C211yesmaximal, characteristic, complemented
10#76872C211yesmaximal, characteristic, complemented
11#76866C211yesmaximal, characteristic, complemented
12#76834C211yesmaximal, characteristic, complemented
13#76831C211yesmaximal, characteristic, complemented
14#76439C211yesmaximal, characteristic
15#76412C211yesmaximal, characteristic, complemented
16#75958C211yesmaximal, characteristic, complemented
17#75957C211yesmaximal, characteristic, complemented
18#75793C211yesmaximal, characteristic, complemented
19#75717C211yesmaximal, characteristic, complemented
20#75370C211yesmaximal, characteristic, complemented
21D3×#387C211yesmaximal, characteristic, complemented
22#75206C211yesmaximal, characteristic, complemented
23#75181C211yesmaximal, characteristic, complemented
24#74877C211yesmaximal, characteristic, complemented
25#74801C211yesmaximal, characteristic, complemented
26#74295C211yesmaximal, characteristic, complemented
27#74281C211yesmaximal, characteristic, complemented
28#74128C211yesmaximal, characteristic, complemented
29#74112C211yesmaximal, characteristic, complemented
30#74023C211yesmaximal, characteristic, complemented
31#73990C211yesmaximal, characteristic, complemented
32#36781—31nomaximal, Sylow
33C2×#946C2211yescharacteristic
34C2×#944C2211yescharacteristic
35C2×#938C2211yescharacteristic
36C2×#938C2211yescharacteristic
37C2×C4×#67C2211yescharacteristic
38C2×#896C2211yescharacteristic
39C2×D3×C4⋊C4C2211yescharacteristic
40C2×D3×C4⋊C4C2211yescharacteristic
41C2×#885C2211yescharacteristic
42C2×#884C2211yescharacteristic
43C2×#884C2211yescharacteristic
44C2×#67⋊C4C2211yescharacteristic
45C2×#879C2211yescharacteristic
46C2×C4×D12C2211yescharacteristic
47C2×C42×D3C2211yescharacteristic
48C3×#397C2211yescharacteristic
49C3×#397C2211yescharacteristic
50C3×#395C2211yescharacteristic
51C3×#394C2211yescharacteristic
52C3×#393C2211yescharacteristic
53C3×#393C2211yescharacteristic
54C3×#390C2211yescharacteristic
55C3×#388C2211yescharacteristic
56C3×#388C2211yescharacteristic
57C3×#387C2211yescharacteristic
58C3×#387C2211yescharacteristic
59C3×#386C2211yescharacteristic
60C3×#383C2211yescharacteristic
61C3×#381C2211yescharacteristic
62C3×#380C2211yescharacteristic
63#5231C2211yescharacteristic
64#5229C2211yescharacteristic
65#5222C2211yescharacteristic
66#5220C2211yescharacteristic
67#5213C2211yescharacteristic
68#5210C2211yescharacteristic
69#5210C2211yescharacteristic
70#4994C2211yescharacteristic
71#4990C2211yescharacteristic
72#4990C2211yescharacteristic
73#4989C2211yescharacteristic
74#4989C2211yescharacteristic
75#4989C2211yescharacteristic
76#4987C2211yescharacteristic
77#4986C2211yescharacteristic
78#4986C2211yescharacteristic
79#4985C2211yescharacteristic
80#4982C2211yescharacteristic
81#4981C2211yescharacteristic
82#4980C2211yescharacteristic
83#4980C2211yescharacteristic
84#4978C2211yescharacteristic
85#4976C2211yescharacteristic
86#4975C2211yescharacteristic
87#4961C2211yescharacteristic
88#4959C2211yescharacteristic
89#4959C2211yescharacteristic
90#4959C2211yescharacteristic
91#4959C2211yescharacteristic
92#4959C2211yescharacteristic
93#4958C2211yescharacteristic
94#4957C2211yescharacteristic
95#4956C2211yescharacteristic
96#4956C2211yescharacteristic
97#4956C2211yescharacteristic
98#4956C2211yescharacteristic
99#4956C2211yescharacteristic
100#4956C2211yescharacteristic
101#4956C2211yescharacteristic
102#4956C2211yescharacteristic
103#4953C2211yescharacteristic
104#4953C2211yescharacteristic
105#4952C2211yescharacteristic
106#4952C2211yescharacteristic
107#4951C2211yescharacteristic
108#4951C2211yescharacteristic
109#4951C2211yescharacteristic
110#4950C2211yescharacteristic
111#4948C2211yescharacteristic
112#4948C2211yescharacteristic
113#4948C2211yescharacteristic
114#4948C2211yescharacteristic
115#4948C2211yescharacteristic
116#4947C2211yescharacteristic
117#4946C2211yescharacteristic
118#4945C2211yescharacteristic
119#4945C2211yescharacteristic
120#4945C2211yescharacteristic
121#4944C2211yescharacteristic
122#4944C2211yescharacteristic
123#4944C2211yescharacteristic
124#4943C2211yescharacteristic
125#4942C2211yescharacteristic
126#4940C2211yescharacteristic
127#4936C2211yescharacteristic
128#4933C2211yescharacteristic
129#4933C2211yescharacteristic
130#4933C2211yescharacteristic
131#4928C2211yescharacteristic
132#4676C2211yescharacteristic
133#4675C2211yescharacteristic
134#4675C2211yescharacteristic
135#4674C2211yescharacteristic
136#4670C2211yescharacteristic
137#4670C2211yescharacteristic
138#4669C2211yescharacteristic
139#4668C2211yescharacteristic
140#4668C2211yescharacteristic
141#4668C2211yescharacteristic
142#4668C2211yescharacteristic
143#4668C2211yescharacteristic
144#4667C2211yescharacteristic
145#4667C2211yescharacteristic
146#4666C2211yescharacteristic
147#4665C2211yescharacteristic
148#4665C2211yescharacteristic
149#4665C2211yescharacteristic
150#4665C2211yescharacteristic
151#4664C2211yescharacteristic
152D3×#95C2211yescharacteristic
153D3×#95C2211yescharacteristic
154D3×#95C2211yescharacteristic
155D3×#95C2211yescharacteristic
156C3⋊#401C2211yescharacteristic
157#4661C2211yescharacteristic
158#4660C2211yescharacteristic
159#4659C2211yescharacteristic
160#4658C2211yescharacteristic
161#4658C2211yescharacteristic
162#4658C2211yescharacteristic
163#4658C2211yescharacteristic
164#4658C2211yescharacteristic
165#4658C2211yescharacteristic
166#4657C2211yescharacteristic
167#4657C2211yescharacteristic
168#4657C2211yescharacteristic
169#4656C2211yescharacteristic
170#4655C2211yescharacteristic
171#4654C2211yescharacteristic
172#4654C2211yescharacteristic
173#4654C2211yescharacteristic
174#4654C2211yescharacteristic
175#4654C2211yescharacteristic
176#4654C2211yescharacteristic
177#4653C2211yescharacteristic
178#4653C2211yescharacteristic
179#4653C2211yescharacteristic
180#4652C2211yescharacteristic
181#4652C2211yescharacteristic
182#4652C2211yescharacteristic
183#4651C2211yescharacteristic
184#4650C2211yescharacteristic
185#4647C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2852—31no—
189#2850—31no—
190#2795—31no—
191#2793—31no—
192#2779—31no—
193#2767—31no—
194#2765—31no—
195#2761—31no—
196#2758—31no—
197#2757—31no—
198#2747—31no—
199#2745—31no—
200#2739—31no—
201#2737D311yescharacteristic, complemented
202#2731—31no—
203#2716—31no—
204#2691—31no—
205#2686—31no—
206#2643—31no—
207#2639—31no—
208#2591—31no—
209#2579—31no—
210#2450—31no—
211#2450—31no—
212#2444—31no—
213#2444—31no—
214#2440—31no—
215#2416—31no—
216#2325—31no—
217#2318—31no—
218C2×#387—31no—
219C22×C3×Q8C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C22×D12C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×Dic6C2311yescharacteristic
237C2×C3×C4⋊C4C2311yescharacteristic
238C2×C3×C4⋊C4C2311yescharacteristic
239C2×C3×C4⋊C4C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C42C2311yescharacteristic
254C2×C3×C42C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266#946—42no—
267#944—42no—
268#938—24no—
269#938—42no—
270C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
288C2×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×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×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×C4×Dic3C2311yescharacteristic
317C2×C4×Dic3C2311yescharacteristic
318C2×C4×Dic3C2311yescharacteristic
319C2×C4×Dic3C2311yescharacteristic
320C2×C4×Dic3C2311yescharacteristic
321C2×C4×Dic3C2311yescharacteristic
322C2×C4×Dic3C2311yescharacteristic
323#896—42no—
324D3×C4⋊C4—24no—
325D3×C4⋊C4—42no—
326#885—42no—
327#884—42no—
328#884—42no—
329#67⋊C4—42no—
330#879—42no—
331C4×D12—24no—
332C42×D3—42no—
333C3×#95C2311yescharacteristic
334C3×#95C2311yescharacteristic
335C3×#95C2311yescharacteristic
336C3×#95C2311yescharacteristic
337C3×#95C2311yescharacteristic
338C3×#95C2311yescharacteristic
339C3×#95C2311yescharacteristic
340C3×#95C2311yescharacteristic
341C3×#95C2311yescharacteristic
342C3×#95C2311yescharacteristic
343C3×#95C2311yescharacteristic
344C3×#95C2311yescharacteristic
345C3×#95C2311yescharacteristic
346C3×#95C2311yescharacteristic
347C3⋊#95C2311yescharacteristic
348C3⋊#95C2311yescharacteristic
349C3⋊#95C2311yescharacteristic
350C3⋊#95C2311yescharacteristic
351C3⋊#95C2311yescharacteristic
352C3⋊#95C2311yescharacteristic
353C3⋊#95C2311yescharacteristic
354C3⋊#95C2311yescharacteristic
355C3⋊#95C2311yescharacteristic
356C3⋊#95C2311yescharacteristic
357C3⋊#95C2311yescharacteristic
358C3⋊#95C2311yescharacteristic
359C3⋊#95C2311yescharacteristic
360C3⋊#95C2311yescharacteristic
361C3⋊#95C2311yescharacteristic
362C3⋊#95C2311yescharacteristic
363C3⋊#95C2311yescharacteristic
364C3⋊#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C2×C4⋊Q8—31no—
390C2×#126—31no—
391C2×#124—31no—
392C2×C22⋊Q8—31no—
393C2×C22⋊Q8—31no—
394C2×#121—31no—
395C2×#121—31no—
396C2×#121—31no—
397C2×#121—31no—
398C2×C4×D4—31no—
399C2×C4×D4—31no—
400C2×C4×D4—31no—
401C22×C4⋊C4—31no—
402C22×C4⋊C4—31no—
403C22×C42—31no—
404#401—31no—
405#400—31no—
406#400—31no—
407#400—31no—
408#400—31no—
409#400—31no—
410#400—31no—
411#400—31no—
412#400—31no—
413#400—31no—
414#400—31no—
415#400—31no—
416#398—31no—
417#398—31no—
418#398—31no—
419#398—31no—
420#398—31no—
421#398—31no—
422#397—31no—
423#397—31no—
424#397—31no—
425#397—31no—
426#397—31no—
427#397—31no—
428#397—31no—
429#397C2×D311yescharacteristic
430#397C2×D311yescharacteristic
431#396—31no—
432#396—31no—
433#396—31no—
434#396—31no—
435#396—31no—
436#396—31no—
437#396—31no—
438#395—31no—
439#395C2×D311yescharacteristic
440#394—31no—
441#394—31no—
442#394—31no—
443#394—31no—
444#394—31no—
445#394—31no—
446#394—31no—
447#394C2×D311yescharacteristic
448#393—31no—
449#393—31no—
450#393C2×D311yescharacteristic
451#393C2×D311yescharacteristic
452#391—31no—
453#391—31no—
454#391—31no—
455#390—31no—
456#390C2×D311yescharacteristic
457#389—31no—
458#389—31no—
459#389—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#388C2×D311yescharacteristic
476#388C2×D311yescharacteristic
477#387—31no—
478#387—31no—
479#387—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#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#387C2×D311yescharacteristic
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#386—31no—
512#386—31no—
513#386C2×D311yescharacteristic
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#384—31no—
527#383—31no—
528#383C2×D311yescharacteristic
529#382—31no—
530#382—31no—
531#381—31no—
532#381—31no—
533#381C2×D311yescharacteristic
534#380—31no—
535#380—31no—
536#380—31no—
537#380—31no—
538#380C2×D311yescharacteristic
539C4×C22⋊C4—31no—
540C2×#95—31no—
541C2×#95—31no—
542C2×#95—31no—
543C2×#95—31no—
544C24×C3C2411yescharacteristic
545C24×C3C2411yescharacteristic
546C23×D3C2411yescharacteristic
547C23×D3C2411yescharacteristic
548C2×C3×Q8—41no—
549C2×C3×Q8—41no—
550C2×C3×Q8—41no—
551C2×C3×D4—22no—
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
569C22×C3×C4C2411yescharacteristic
570C2×#67—22no—
571C2×#67—22no—
572C2×#67—22no—
573C2×#67—22no—
574C2×#67—22no—
575C2×#67—22no—
576C2×#67—22no—
577C2×#67—41no—
578C2×#67—41no—
579C2×#67—41no—
580C2×#67—41no—
581C2×#67—41no—
582C22×Dic3—41no—
583C22×Dic3—41no—
584C22×Dic3—41no—
585C22×Dic3C2411yescharacteristic
586C22×Dic3C2411yescharacteristic
587C22×Dic3C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C2×D12—22no—
600C2×D12—22no—
601C2×D12—22no—
602C2×C4×D3—22no—
603C2×C4×D3—22no—
604C2×C4×D3—22no—
605C2×C4×D3—22no—
606C2×C4×D3—22no—
607C2×C4×D3—22no—
608C2×C4×D3—22no—
609C2×C4×D3—22no—
610C2×C4×D3—41no—
611C2×C4×D3—41no—
612C2×C4×D3—41no—
613C2×C4×D3—41no—
614C2×C4×D3—41no—
615C2×C4×D3—41no—
616C2×C4×D3—41no—
617C2×C4×D3—41no—
618C2×C4×D3—41no—
619C2×C4×D3—41no—
620C2×C4×D3—41no—
621C2×C4×D3—41no—
622C2×C4×D3—41no—
623C2×C4×D3—41no—
624C2×C4×D3—41no—
625C2×C4×D3#4114yes—
626C2×Dic6—22no—
627C2×Dic6—41no—
628C2×Dic6—41no—
629C3×C4⋊C4—22no—
630C3×C4⋊C4—41no—
631C3×C4⋊C4—41no—
632C3×C4⋊C4—41no—
633C3×C4⋊C4—41no—
634C3×C22⋊C4—41no—
635C3×C22⋊C4—41no—
636C3×C22⋊C4—41no—
637C3×C22⋊C4—41no—
638C3×C22⋊C4—41no—
639C3×C22⋊C4—41no—
640C3×C22⋊C4—41no—
641C3×C22⋊C4—41no—
642C3×C22⋊C4—41no—
643C3×C22⋊C4—41no—
644C3×C22⋊C4—41no—
645C3×C42—22no—
646C3×C42—41no—
647#217—22no—
648#217—22no—
649#217—22no—
650#217—41no—
651#217—41no—
652#217—41no—
653#217—41no—
654#217—41no—
655#217—41no—
656#217—41no—
657#217—41no—
658(C2×D3)⋊C4—22no—
659(C2×D3)⋊C4—22no—
660(C2×D3)⋊C4—22no—
661(C2×D3)⋊C4—22no—
662(C2×D3)⋊C4—22no—
663(C2×D3)⋊C4—22no—
664(C2×D3)⋊C4—41no—
665(C2×D3)⋊C4—41no—
666(C2×D3)⋊C4—41no—
667(C2×D3)⋊C4—41no—
668(C2×D3)⋊C4—41no—
669(C2×D3)⋊C4—41no—
670(C2×D3)⋊C4—41no—
671(C2×D3)⋊C4—41no—
672(C2×D3)⋊C4—41no—
673(C2×D3)⋊C4—41no—
674C4⋊Dic3—22no—
675C4⋊Dic3—22no—
676C4⋊Dic3—22no—
677C4⋊Dic3—22no—
678C4⋊Dic3—41no—
679C4⋊Dic3—41no—
680C4⋊Dic3—41no—
681C4⋊Dic3—41no—
682C4⋊Dic3—41no—
683Dic3⋊C4—22no—
684Dic3⋊C4—22no—
685Dic3⋊C4—22no—
686Dic3⋊C4—22no—
687Dic3⋊C4—41no—
688Dic3⋊C4—41no—
689Dic3⋊C4—41no—
690Dic3⋊C4—41no—
691Dic3⋊C4—41no—
692Dic3⋊C4—41no—
693Dic3⋊C4—41no—
694Dic3⋊C4—41no—
695Dic3⋊C4—41no—
696Dic3⋊C4—41no—
697Dic3⋊C4—41no—
698Dic3⋊C4—41no—
699Dic3⋊C4—41no—
700Dic3⋊C4—41no—
701Dic3⋊C4—41no—
702Dic3⋊C4—41no—
703C4×Dic3—22no—
704C4×Dic3—22no—
705C4×Dic3—41no—
706C4×Dic3—41no—
707C4×Dic3—41no—
708C4×Dic3—41no—
709C4×Dic3—41no—
710C22×Q8—31no—
711C22×Q8C22×D311yescharacteristic
712C22×D4—31no—
713C22×D4—31no—
714C22×D4—31no—
715C22×D4—31no—
716C22×D4—31no—
717C22×D4C22×D311yescharacteristic
718C23×C4—31no—
719C23×C4—31no—
720C23×C4—31no—
721C23×C4—31no—
722C23×C4—31no—
723C23×C4—31no—
724C23×C4—31no—
725C23×C4—31no—
726C23×C4—31no—
727C23×C4C22×D311yescharacteristic
728C4⋊Q8—122no—
729#126—122no—
730#124—122no—
731C22⋊Q8—122no—
732C22⋊Q8—122no—
733#121—64no—
734#121—122no—
735#121—122no—
736#121—122no—
737C4×D4—64no—
738C4×D4—122no—
739C4×D4—122no—
740C2×C4⋊C4—31no—
741C2×C4⋊C4—31no—
742C2×C4⋊C4—31no—
743C2×C4⋊C4—31no—
744C2×C4⋊C4—31no—
745C2×C4⋊C4—31no—
746C2×C4⋊C4—31no—
747C2×C4⋊C4—31no—
748C2×C4⋊C4—31no—
749C2×C4⋊C4—31no—
750C2×C4⋊C4—31no—
751C2×C4⋊C4—31no—
752C2×C4⋊C4—31no—
753C2×C4⋊C4—31no—
754C2×C4⋊C4—31no—
755C2×C4⋊C4—31no—
756C2×C4⋊C4—31no—
757C2×C4⋊C4—31no—
758C2×C4⋊C4—31no—
759C2×C4⋊C4—31no—
760C2×C4⋊C4—31no—
761C2×C4⋊C4—31no—
762C2×C4⋊C4—31no—
763C2×C4⋊C4—31no—
764C2×C4⋊C4—31no—
765C2×C4⋊C4—31no—
766C2×C4⋊C4—31no—
767C2×C4⋊C4—31no—
768C2×C4⋊C4—31no—
769C2×C4⋊C4—64no—
770C2×C4⋊C4—122no—
771C2×C4⋊C4C22×D311yescharacteristic
772C2×C4⋊C4C22×D311yescharacteristic
773C2×C4⋊C4C22×D311yescharacteristic
774C2×C4⋊C4C22×D311yescharacteristic
775C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
797C2×C22⋊C4—31no—
798C2×C22⋊C4—31no—
799C2×C22⋊C4—31no—
800C2×C22⋊C4—31no—
801C2×C22⋊C4—31no—
802C2×C22⋊C4—31no—
803C2×C22⋊C4C22×D311yescharacteristic
804C2×C22⋊C4C22×D311yescharacteristic
805C2×C22⋊C4C22×D311yescharacteristic
806C2×C22⋊C4C22×D311yescharacteristic
807C2×C22⋊C4C22×D311yescharacteristic
808C2×C22⋊C4C22×D311yescharacteristic
809C2×C22⋊C4C22×D311yescharacteristic
810C2×C22⋊C4C22×D311yescharacteristic
811C2×C22⋊C4C22×D311yescharacteristic
812C2×C22⋊C4C22×D311yescharacteristic
813C2×C22⋊C4C22×D311yescharacteristic
814C2×C42—31no—
815C2×C42—31no—
816C2×C42—31no—
817C2×C42—31no—
818C2×C42—31no—
819C2×C42—31no—
820C2×C42—31no—
821C2×C42—122no—
822C2×C42C22×D311yescharacteristic
823C2×C42C22×D311yescharacteristic
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#95—31no—
861#95—31no—
862#95—31no—
863#95—31no—
864#95—31no—
865#95—31no—
866#95C22×D311yescharacteristic
867#95C22×D311yescharacteristic
868#95C22×D311yescharacteristic
869#95C22×D311yescharacteristic
870#95C22×D311yescharacteristic
871#95C22×D311yescharacteristic
872#95C22×D311yescharacteristic
873#95C22×D311yescharacteristic
874#95C22×D311yescharacteristic
875#95C22×D311yescharacteristic
876#95C22×D311yescharacteristic
877#95C22×D311yescharacteristic
878#95C22×D311yescharacteristic
879#95C22×D311yescharacteristic
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×C3—21no—
892C23×C3—21no—
893C23×C3—21no—
894C23×C3C2511yescharacteristic
895C22×D3—21no—
896C22×D3—21no—
897C22×D3—21no—
898C22×D3—21no—
899C22×D3—21no—
900C22×D3—21no—
901C22×D3—21no—
902C22×D3—21no—
903C22×D3—21no—
904C22×D3—21no—
905C22×D3—21no—
906C22×D3C2×#4112yes—
907C22×D3H(5,𝔽2)12yes—
908C22×D32−1+412yes—
909C3×Q8—82no—
910C3×D4—82no—
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—21no—
938C2×C3×C4—21no—
939C2×C3×C4—21no—
940C2×C3×C4—21no—
941C2×C3×C4—21no—
942C2×C3×C4—21no—
943C2×C3×C4—21no—
944C2×C3×C4—21no—
945C2×C3×C4—21no—
946C2×C3×C4—21no—
947C2×C3×C4—21no—
948C2×C3×C4—21no—
949C2×C3×C4—82no—
950C2×C3×C4C2×#4112yes—
951#67—44no—
952#67—44no—
953#67—82no—
954#67—82no—
955C2×Dic3—21no—
956C2×Dic3—21no—
957C2×Dic3—21no—
958C2×Dic3—21no—
959C2×Dic3—21no—
960C2×Dic3—21no—
961C2×Dic3—21no—
962C2×Dic3—21no—
963C2×Dic3—21no—
964C2×Dic3—21no—
965C2×Dic3—21no—
966C2×Dic3—21no—
967C2×Dic3—21no—
968C2×Dic3—21no—
969C2×Dic3—21no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—21no—
974C2×Dic3—21no—
975C2×Dic3—21no—
976C2×Dic3—21no—
977C2×Dic3—21no—
978C2×Dic3—21no—
979C2×Dic3—21no—
980C2×Dic3—21no—
981C2×Dic3—21no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—21no—
987C2×Dic3—21no—
988C2×Dic3—21no—
989C2×Dic3—21no—
990C2×Dic3—21no—
991C2×Dic3—21no—
992C2×Dic3—21no—
993C2×Dic3—21no—
994C2×Dic3—21no—
995C2×Dic3—82no—
996C2×Dic3C2×#4112yes—
997C2×Dic3H(5,𝔽2)12yes—
998D12—44no—
999C4×D3—44no—
1000C4×D3—44no—
1001C4×D3—44no—
1002C4×D3—44no—
1003C4×D3—44no—
1004C4×D3—82no—
1005C4×D3—82no—
1006C4×D3—82no—
1007Dic6—82no—
1008C24—31no—
1009C24—31no—
1010C24C23×D311yescharacteristic
1011C24C23×D311yescharacteristic
1012C2×Q8—41no—
1013C2×Q8—41no—
1014C2×Q8—41no—
1015C2×Q8—62no—
1016C2×Q8—121no—
1017C2×Q8—121no—
1018C2×D4—22no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—62no—
1022C2×D4—62no—
1023C2×D4—62no—
1024C2×D4—62no—
1025C2×D4—62no—
1026C2×D4—62no—
1027C2×D4—62no—
1028C2×D4—62no—
1029C2×D4—62no—
1030C2×D4—62no—
1031C2×D4—121no—
1032C2×D4—121no—
1033C2×D4—121no—
1034C2×D4—121no—
1035C2×D4—121no—
1036C22×C4—31no—
1037C22×C4—31no—
1038C22×C4—34no—
1039C22×C4—31no—
1040C22×C4—31no—
1041C22×C4—31no—
1042C22×C4—31no—
1043C22×C4—31no—
1044C22×C4—31no—
1045C22×C4—31no—
1046C22×C4—31no—
1047C22×C4—31no—
1048C22×C4—31no—
1049C22×C4—31no—
1050C22×C4—31no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—62no—
1055C22×C4—62no—
1056C22×C4—62no—
1057C22×C4—62no—
1058C22×C4—62no—
1059C22×C4—62no—
1060C22×C4—62no—
1061C22×C4—62no—
1062C22×C4—121no—
1063C22×C4—121no—
1064C22×C4—121no—
1065C22×C4—121no—
1066C22×C4—121no—
1067C22×C4—121no—
1068C22×C4—121no—
1069C22×C4—121no—
1070C22×C4—121no—
1071C22×C4—121no—
1072C22×C4—121no—
1073C22×C4—121no—
1074C22×C4—121no—
1075C22×C4—121no—
1076C22×C4—121no—
1077C22×C4—121no—
1078C22×C4—121no—
1079C22×C4—121no—
1080C22×C4C23×D311yescharacteristic
1081C22×C4C23×D311yescharacteristic
1082C22×C4C23×D311yescharacteristic
1083C22×C4C23×D311yescharacteristic
1084C22×C4C23×D311yescharacteristic
1085C22×C4C23×D311yescharacteristic
1086C22×C4C23×D311yescharacteristic
1087C22×C4C23×D311yescharacteristic
1088C22×C4C23×D311yescharacteristic
1089C22×C4C23×D311yescharacteristic
1090C22×C4C23×D311yescharacteristic
1091C22×C4C23×D311yescharacteristic
1092C22×C4C23×D311yescharacteristic
1093C4⋊C4—22no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—62no—
1099C4⋊C4—62no—
1100C4⋊C4—62no—
1101C4⋊C4—62no—
1102C4⋊C4—62no—
1103C4⋊C4—62no—
1104C4⋊C4—62no—
1105C4⋊C4—62no—
1106C4⋊C4—121no—
1107C4⋊C4—121no—
1108C4⋊C4—121no—
1109C4⋊C4—121no—
1110C4⋊C4—121no—
1111C4⋊C4—121no—
1112C4⋊C4—121no—
1113C4⋊C4—121no—
1114C4⋊C4—121no—
1115C4⋊C4—121no—
1116C4⋊C4—121no—
1117C4⋊C4—121no—
1118C4⋊C4—121no—
1119C4⋊C4—121no—
1120C4⋊C4—121no—
1121C4⋊C4—121no—
1122C4⋊C4—121no—
1123C4⋊C4—121no—
1124C4⋊C4—121no—
1125C4⋊C4—121no—
1126C4⋊C4—121no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—62no—
1139C22⋊C4—62no—
1140C22⋊C4—62no—
1141C22⋊C4—62no—
1142C22⋊C4—62no—
1143C22⋊C4—62no—
1144C22⋊C4—62no—
1145C22⋊C4—62no—
1146C22⋊C4—62no—
1147C22⋊C4—121no—
1148C22⋊C4—121no—
1149C22⋊C4—121no—
1150C22⋊C4—121no—
1151C22⋊C4—121no—
1152C22⋊C4—121no—
1153C22⋊C4—121no—
1154C22⋊C4—121no—
1155C22⋊C4—121no—
1156C22⋊C4—121no—
1157C22⋊C4—121no—
1158C22⋊C4—121no—
1159C22⋊C4—121no—
1160C22⋊C4—121no—
1161C22⋊C4—121no—
1162C22⋊C4—121no—
1163C22⋊C4—121no—
1164C22⋊C4—121no—
1165C42—22no—
1166C42—41no—
1167C42—62no—
1168C42—62no—
1169C42—121no—
1170C42—121no—
1171C42—121no—
1172C42—121no—
1173C42—121no—
1174C22×C3—41no—
1175C22×C3—41no—
1176C22×C3—41no—
1177C22×C3—41no—
1178C22×C3—41no—
1179C22×C3—41no—
1180C22×C3—41no—
1181C22×C3—41no—
1182C22×C3—41no—
1183C22×C3—41no—
1184C22×C3—41no—
1185C22×C3—41no—
1186C22×C3—41no—
1187C22×C3—41no—
1188C22×C3C22×#4111yescharacteristic
1189C22×C3C2×H(5,𝔽2)11yescharacteristic
1190C22×C3C2×H(5,𝔽2)11yescharacteristic
1191C22×C3C2×2−1+411yescharacteristic
1192C22×C3#58511yescharacteristic
1193C22×C3#58511yescharacteristic
1194C22×C3#58511yescharacteristic
1195C2×D3—22no—
1196C2×D3—22no—
1197C2×D3—22no—
1198C2×D3—22no—
1199C2×D3—22no—
1200C2×D3—22no—
1201C2×D3—41no—
1202C2×D3—41no—
1203C2×D3—41no—
1204C2×D3—41no—
1205C2×D3—41no—
1206C2×D3—41no—
1207C2×D3—41no—
1208C2×D3#54214yes—
1209C3×C4—22no—
1210C3×C4—41no—
1211C3×C4—41no—
1212C3×C4—41no—
1213C3×C4—41no—
1214C3×C4—41no—
1215C3×C4—41no—
1216C3×C4—41no—
1217C3×C4—41no—
1218C3×C4—41no—
1219C3×C4—41no—
1220C3×C4—41no—
1221C3×C4—41no—
1222Dic3—22no—
1223Dic3—22no—
1224Dic3—41no—
1225Dic3—41no—
1226Dic3—41no—
1227Dic3—41no—
1228Dic3—41no—
1229Dic3—41no—
1230Dic3—41no—
1231Dic3—41no—
1232Dic3—41no—
1233Dic3—41no—
1234Dic3—41no—
1235Dic3—41no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—32no—
1251C23—32no—
1252C23—32no—
1253C23—61no—
1254C23—61no—
1255C23—61no—
1256C23—61no—
1257C23—61no—
1258C23—61no—
1259C23—61no—
1260C23—61no—
1261C23—61no—
1262C23—61no—
1263C23—61no—
1264C23C24×D311yescharacteristic
1265Q8—82no—
1266Q8—242no—
1267D4—82no—
1268D4—124no—
1269D4—124no—
1270D4—124no—
1271D4—242no—
1272D4—242no—
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—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—32no—
1312C2×C4—32no—
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—61no—
1336C2×C4—61no—
1337C2×C4—61no—
1338C2×C4—61no—
1339C2×C4—61no—
1340C2×C4—61no—
1341C2×C4—61no—
1342C2×C4—61no—
1343C2×C4—61no—
1344C2×C4—61no—
1345C2×C4—61no—
1346C2×C4—61no—
1347C2×C4—61no—
1348C2×C4—61no—
1349C2×C4—61no—
1350C2×C4—61no—
1351C2×C4—61no—
1352C2×C4—61no—
1353C2×C4—82no—
1354C2×C4—124no—
1355C2×C4—124no—
1356C2×C4—124no—
1357C2×C4—124no—
1358C2×C4—124no—
1359C2×C4—242no—
1360C2×C4—242no—
1361C2×C4—242no—
1362C2×C4—242no—
1363C2×C4D3×#4112yes—
1364C2×C3—81no—
1365C2×C3—81no—
1366C2×C3C2×#54211yescharacteristic
1367C2×C3#349311yescharacteristic
1368C2×C3#350511yescharacteristic
1369C2×C3#353411yescharacteristic
1370C2×C3#354111yescharacteristic
1371C2×C3#355311yescharacteristic
1372C2×C3#356011yescharacteristic
1373D3—24no—
1374D3—81no—
1375C22—34no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—62no—
1391C22—62no—
1392C22—62no—
1393C22—62no—
1394C22—62no—
1395C22—62no—
1396C22—121no—
1397C22—121no—
1398C22—121no—
1399C22—121no—
1400C22—121no—
1401C22—121no—
1402C22—121no—
1403C22C2×D3×#4111yescharacteristic
1404C22#596411yescharacteristic
1405C22#596411yescharacteristic
1406C22D3×H(5,𝔽2)11yescharacteristic
1407C22D3×H(5,𝔽2)11yescharacteristic
1408C22#596611yescharacteristic
1409C22D3×2−1+411yescharacteristic
1410C4—22no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—62no—
1424C4—62no—
1425C4—121no—
1426C4—121no—
1427C4—121no—
1428C4—121no—
1429C4—121no—
1430C4—121no—
1431C4—121no—
1432C4—121no—
1433C4—121no—
1434C4—121no—
1435C4—121no—
1436C4—121no—
1437C3#3678111yescharacteristic, complemented, Sylow
1438C2—64no—
1439C2—81no—
1440C2—81no—
1441C2—241no—
1442C2#8646311yescharacteristic
1443C2#8653111yescharacteristic
1444C2D3×#54211yescharacteristic
1445C2#8681711yescharacteristic
1446C2#8682311yescharacteristic
1447C2#8697211yescharacteristic
1448C2#8708211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2737C2
prime radical#76439C2
hypercenter#2737D3
hypocenterC3#36781
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2737

Complements

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

NH ≅ G/Ntype
1. C3×#2737C2semidirect
2. #77688C2semidirect
3. #77674C2semidirect
4. #77638C2semidirect
5. #77608C2semidirect
6. #77271C2semidirect
7. #77174C2semidirect
8. #77145C2semidirect
9. #77121C2semidirect
10. #76872C2semidirect
11. #76866C2semidirect
12. #76834C2semidirect
13. #76831C2semidirect
15. #76412C2semidirect
16. #75958C2semidirect
17. #75957C2semidirect
18. #75793C2semidirect
19. #75717C2semidirect
20. #75370C2semidirect
21. D3×#387C2semidirect
22. #75206C2semidirect
23. #75181C2semidirect
24. #74877C2semidirect
25. #74801C2semidirect
26. #74295C2semidirect
27. #74281C2semidirect
28. #74128C2semidirect
29. #74112C2semidirect
30. #74023C2semidirect
31. #73990C2semidirect
201. #2737D3semidirect
1437. C3#36781semidirect

Maximal subgroups

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

subgroupindex
C3×#27372
#776882
#776742
#776382
#776082
#772712
#771742
#771452
#771212
#768722
#768662
#768342
#768312
#764392
#764122
#759582
#759572
#757932
#757172
#753702
D3×#3872
#752062
#751812
#748772
#748012
#742952
#742812
#741282
#741122
#740232
#739902
#367813