Finite Group Databasebeta

← #11009701

Subgroups — #11009701

Order 768.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2643C211yesmaximal, characteristic, complemented
2#78424C211yesmaximal, characteristic, complemented
3#78419C211yesmaximal, characteristic, complemented
4#78393C211yesmaximal, characteristic, complemented
5#78387C211yesmaximal, characteristic, complemented
6#78311C211yesmaximal, characteristic, complemented
7#78295C211yesmaximal, characteristic, complemented
8#78288C211yesmaximal, characteristic, complemented
9#78278C211yesmaximal, characteristic, complemented
10#77725C211yesmaximal, characteristic, complemented
11#77645C211yesmaximal, characteristic, complemented
12#77644C211yesmaximal, characteristic, complemented
13#77636C211yesmaximal, characteristic, complemented
14#77632C211yesmaximal, characteristic, complemented
15#77615C211yesmaximal, characteristic, complemented
16#77446C211yesmaximal, characteristic, complemented
17#77399C211yesmaximal, characteristic, complemented
18#74872C211yesmaximal, characteristic, complemented
19#74740C211yesmaximal, characteristic, complemented
20#74707C211yesmaximal, characteristic, complemented
21#74699C211yesmaximal, characteristic
22#74687C211yesmaximal, characteristic, complemented
23#74662C211yesmaximal, characteristic, complemented
24#74588C211yesmaximal, characteristic, complemented
25#74465C211yesmaximal, characteristic, complemented
26#74414C211yesmaximal, characteristic, complemented
27#74410C211yesmaximal, characteristic, complemented
28#74407C211yesmaximal, characteristic, complemented
29#74384C211yesmaximal, characteristic, complemented
30#73379C211yesmaximal, characteristic, complemented
31C2×#4653C211yesmaximal, characteristic, complemented
32#36997—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C2×#939C2211yescharacteristic
35C2×#935C2211yescharacteristic
36C2×#930C2211yescharacteristic
37C22×C4⋊Dic3C2211yescharacteristic
38C2×#924C2211yescharacteristic
39C22×Dic3⋊C4C2211yescharacteristic
40C22×C4×Dic3C2211yescharacteristic
41C2×#886C2211yescharacteristic
42C2×#886C2211yescharacteristic
43C2×#886C2211yescharacteristic
44C2×#67⋊C4C2211yescharacteristic
45C2×#877C2211yescharacteristic
46C3×#401C2211yescharacteristic
47C3×#400C2211yescharacteristic
48C3×#400C2211yescharacteristic
49C3×#400C2211yescharacteristic
50C3×#397C2211yescharacteristic
51C3×#397C2211yescharacteristic
52C3×#397C2211yescharacteristic
53C3×#396C2211yescharacteristic
54C3×#386C2211yescharacteristic
55C3×#386C2211yescharacteristic
56C3×#386C2211yescharacteristic
57C3×#385C2211yescharacteristic
58C3×#385C2211yescharacteristic
59C3×#385C2211yescharacteristic
60C2×C3×#95C2211yescharacteristic
61#5220C2211yescharacteristic
62#5213C2211yescharacteristic
63#5213C2211yescharacteristic
64#5213C2211yescharacteristic
65#5213C2211yescharacteristic
66C2×C3⋊#95C2211yescharacteristic
67C2×C3⋊#95C2211yescharacteristic
68C2×C3⋊#95C2211yescharacteristic
69#4994C2211yescharacteristic
70#4994C2211yescharacteristic
71#4994C2211yescharacteristic
72#4992C2211yescharacteristic
73#4991C2211yescharacteristic
74#4990C2211yescharacteristic
75#4990C2211yescharacteristic
76#4990C2211yescharacteristic
77#4989C2211yescharacteristic
78#4989C2211yescharacteristic
79#4987C2211yescharacteristic
80#4985C2211yescharacteristic
81#4984C2211yescharacteristic
82#4984C2211yescharacteristic
83#4984C2211yescharacteristic
84#4983C2211yescharacteristic
85#4980C2211yescharacteristic
86#4980C2211yescharacteristic
87#4980C2211yescharacteristic
88#4979C2211yescharacteristic
89#4978C2211yescharacteristic
90#4976C2211yescharacteristic
91#4972C2211yescharacteristic
92#4972C2211yescharacteristic
93#4961C2211yescharacteristic
94#4961C2211yescharacteristic
95#4961C2211yescharacteristic
96#4960C2211yescharacteristic
97#4959C2211yescharacteristic
98#4958C2211yescharacteristic
99#4958C2211yescharacteristic
100#4958C2211yescharacteristic
101#4957C2211yescharacteristic
102#4957C2211yescharacteristic
103#4957C2211yescharacteristic
104#4957C2211yescharacteristic
105#4956C2211yescharacteristic
106#4952C2211yescharacteristic
107#4952C2211yescharacteristic
108#4951C2211yescharacteristic
109#4951C2211yescharacteristic
110#4951C2211yescharacteristic
111#4950C2211yescharacteristic
112#4950C2211yescharacteristic
113#4950C2211yescharacteristic
114#4947C2211yescharacteristic
115#4946C2211yescharacteristic
116#4945C2211yescharacteristic
117#4944C2211yescharacteristic
118#4943C2211yescharacteristic
119#4943C2211yescharacteristic
120#4942C2211yescharacteristic
121#4942C2211yescharacteristic
122#4942C2211yescharacteristic
123Dic3×C22⋊C4C2211yescharacteristic
124#4675C2211yescharacteristic
125#4675C2211yescharacteristic
126#4674C2211yescharacteristic
127#4674C2211yescharacteristic
128#4674C2211yescharacteristic
129#4673C2211yescharacteristic
130#4673C2211yescharacteristic
131#4673C2211yescharacteristic
132#4672C2211yescharacteristic
133#4672C2211yescharacteristic
134#4670C2211yescharacteristic
135#4670C2211yescharacteristic
136#4670C2211yescharacteristic
137#4669C2211yescharacteristic
138#4669C2211yescharacteristic
139#4669C2211yescharacteristic
140#4669C2211yescharacteristic
141#4669C2211yescharacteristic
142#4669C2211yescharacteristic
143#4669C2211yescharacteristic
144#4668C2211yescharacteristic
145#4668C2211yescharacteristic
146#4668C2211yescharacteristic
147#4667C2211yescharacteristic
148#4667C2211yescharacteristic
149#4665C2211yescharacteristic
150#4665C2211yescharacteristic
151#4664C2211yescharacteristic
152C3⋊#401C2211yescharacteristic
153#4661C2211yescharacteristic
154#4661C2211yescharacteristic
155#4661C2211yescharacteristic
156#4660C2211yescharacteristic
157#4659C2211yescharacteristic
158#4659C2211yescharacteristic
159#4658C2211yescharacteristic
160#4658C2211yescharacteristic
161#4658C2211yescharacteristic
162#4657C2211yescharacteristic
163#4656C2211yescharacteristic
164#4656C2211yescharacteristic
165#4656C2211yescharacteristic
166#4655C2211yescharacteristic
167#4655C2211yescharacteristic
168#4654C2211yescharacteristic
169#4654C2211yescharacteristic
170#4653C2211yescharacteristic
171#4653C2211yescharacteristic
172#4653C2211yescharacteristic
173#4653C2211yescharacteristic
174#4653C2211yescharacteristic
175#4653C2211yescharacteristic
176#4653C2211yescharacteristic
177#4653C2211yescharacteristic
178#4652C2211yescharacteristic
179#4652C2211yescharacteristic
180#4651C2211yescharacteristic
181#4650C2211yescharacteristic
182#4647C2211yescharacteristic
183#4647C2211yescharacteristic
184#4646C2211yescharacteristic
185#4646C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2854—31no—
189#2853—31no—
190#2808—31no—
191#2805—31no—
192#2803—31no—
193#2800—31no—
194#2797—31no—
195#2788—31no—
196#2787—31no—
197#2787—31no—
198#2786—31no—
199#2784—31no—
200#2781—31no—
201#2774—31no—
202#2770—31no—
203#2759—31no—
204#2750—31no—
205#2745—31no—
206#2643D311yescharacteristic, complemented
207#2639—31no—
208#2510—31no—
209#2488—31no—
210#2444—31no—
211#2438—31no—
212#2430—31no—
213#2425—31no—
214#2413—31no—
215#2406—31no—
216#2322—31no—
217#2311—31no—
218C2×#387—31no—
219C22×C3×D4C2311yescharacteristic
220C23×C3×C4C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×#237—24no—
233C2×#237—42no—
234C2×#237—42no—
235C22×D12C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×Dic6C2311yescharacteristic
239C22×Dic6C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262#939—42no—
263#935—42no—
264#930—42no—
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×C4⋊Dic3—24no—
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×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300#924—42no—
301C2×Dic3⋊C4—42no—
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×C4×Dic3—42no—
319C2×C4×Dic3C2311yescharacteristic
320C2×C4×Dic3C2311yescharacteristic
321C2×C4×Dic3C2311yescharacteristic
322C2×C4×Dic3C2311yescharacteristic
323C2×C4×Dic3C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328#886—24no—
329#886—42no—
330#886—42no—
331#67⋊C4—42no—
332#877—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
389C22×#41—31no—
390C2×#123—31no—
391C2×#123—31no—
392C2×#123—31no—
393C2×#123—31no—
394C2×C22⋊Q8—31no—
395C2×#121—31no—
396C2×#121—31no—
397C2×C4×D4—31no—
398C2×#117—31no—
399C22×C4⋊C4—31no—
400C22×C4⋊C4—31no—
401C22×C42—31no—
402#401—31no—
403#401C2×D311yescharacteristic
404#400—31no—
405#400—31no—
406#400—31no—
407#400—31no—
408#400—31no—
409#400—31no—
410#400—31no—
411#400C2×D311yescharacteristic
412#400C2×D311yescharacteristic
413#400C2×D311yescharacteristic
414#398—31no—
415#398—31no—
416#398—31no—
417#398—31no—
418#398—31no—
419#397—31no—
420#397—31no—
421#397—31no—
422#397—31no—
423#397—31no—
424#397—31no—
425#397—31no—
426#397—31no—
427#397C2×D311yescharacteristic
428#397C2×D311yescharacteristic
429#397C2×D311yescharacteristic
430#396—31no—
431#396—31no—
432#396—31no—
433#396C2×D311yescharacteristic
434#395—31no—
435#395—31no—
436#395—31no—
437#395—31no—
438#394—31no—
439#394—31no—
440#394—31no—
441#394—31no—
442#394—31no—
443#394—31no—
444#394—31no—
445#393—31no—
446#393—31no—
447#393—31no—
448#393—31no—
449#392—31no—
450#391—31no—
451#391—31no—
452#391—31no—
453#391—31no—
454#390—31no—
455#390—31no—
456#390—31no—
457#390—31no—
458#389—31no—
459#389—31no—
460#389—31no—
461#389—31no—
462#389—31no—
463#389—31no—
464#389—31no—
465#389—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—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#387—31no—
498#387—31no—
499#387—31no—
500#387—31no—
501#387—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#386C2×D311yescharacteristic
515#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic
526#385C2×D311yescharacteristic
527#385C2×D311yescharacteristic
528#383—31no—
529#382—31no—
530#381—31no—
531#381—31no—
532#381—31no—
533#380—31no—
534#380—31no—
535#380—31no—
536#380—31no—
537#380—31no—
538#380—31no—
539C4×C22⋊C4—31no—
540C2×#95—31no—
541C2×#95—31no—
542C2×#95—31no—
543C2×#95C2×D311yescharacteristic
544C24×C3C2411yescharacteristic
545C24×C3C2411yescharacteristic
546C23×D3C2411yescharacteristic
547C23×D3C2411yescharacteristic
548C2×C3×D4—22no—
549C2×C3×D4—22no—
550C2×C3×D4—22no—
551C22×C3×C4—22no—
552C22×C3×C4—22no—
553C22×C3×C4—22no—
554C22×C3×C4—41no—
555C22×C3×C4—41no—
556C22×C3×C4—41no—
557C22×C3×C4—41no—
558C22×C3×C4—41no—
559C22×C3×C4—41no—
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
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×C3×C4C2411yescharacteristic
573C2×#67—22no—
574C2×#67—22no—
575C2×#67—22no—
576C2×#67—22no—
577C2×#67—22no—
578C2×#67—22no—
579C2×#67—22no—
580C2×#67—22no—
581C2×#67—41no—
582C2×#67—41no—
583C2×#67—41no—
584C2×#67—41no—
585C22×Dic3—22no—
586C22×Dic3—22no—
587C22×Dic3—22no—
588C22×Dic3—22no—
589C22×Dic3—22no—
590C22×Dic3—22no—
591C22×Dic3—22no—
592C22×Dic3—22no—
593C22×Dic3—22no—
594C22×Dic3—41no—
595C22×Dic3—41no—
596C22×Dic3—41no—
597C22×Dic3—41no—
598C22×Dic3—41no—
599C22×Dic3#4114yes—
600C22×Dic3C2411yescharacteristic
601C22×Dic3C2411yescharacteristic
602C22×Dic3C2411yescharacteristic
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614#237—416no—
615C2×D12—41no—
616C2×D12—41no—
617C2×D12—41no—
618C2×C4×D3—22no—
619C2×C4×D3—41no—
620C2×C4×D3—41no—
621C2×C4×D3—41no—
622C2×C4×D3—41no—
623C2×C4×D3—41no—
624C2×Dic6—22no—
625C2×Dic6—41no—
626C2×Dic6—41no—
627C2×Dic6—41no—
628C2×Dic6—41no—
629C2×Dic6—41no—
630C3×C4⋊C4—41no—
631C3×C4⋊C4—41no—
632C3×C4⋊C4—41no—
633C3×C4⋊C4—41no—
634C3×C4⋊C4—41no—
635C3×C4⋊C4—41no—
636C3×C22⋊C4—22no—
637C3×C22⋊C4—22no—
638C3×C22⋊C4—22no—
639C3×C22⋊C4—41no—
640C3×C22⋊C4—41no—
641C3×C22⋊C4—41no—
642C3×C22⋊C4—41no—
643C3×C22⋊C4—41no—
644C3×C22⋊C4—41no—
645#217—22no—
646#217—22no—
647#217—41no—
648#217—41no—
649#217—41no—
650#217—41no—
651#217—41no—
652(C2×D3)⋊C4—22no—
653(C2×D3)⋊C4—22no—
654(C2×D3)⋊C4—22no—
655(C2×D3)⋊C4—41no—
656(C2×D3)⋊C4—41no—
657(C2×D3)⋊C4—41no—
658(C2×D3)⋊C4—41no—
659(C2×D3)⋊C4—41no—
660(C2×D3)⋊C4—41no—
661(C2×D3)⋊C4—41no—
662(C2×D3)⋊C4—41no—
663(C2×D3)⋊C4—41no—
664(C2×D3)⋊C4—41no—
665(C2×D3)⋊C4—41no—
666(C2×D3)⋊C4—41no—
667(C2×D3)⋊C4—41no—
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—22no—
679C4⋊Dic3—22no—
680C4⋊Dic3—41no—
681C4⋊Dic3—41no—
682C4⋊Dic3—41no—
683C4⋊Dic3—41no—
684C4⋊Dic3—41no—
685C4⋊Dic3—41no—
686Dic3⋊C4—22no—
687Dic3⋊C4—22no—
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—
702C4×Dic3—41no—
703C4×Dic3—41no—
704C4×Dic3—41no—
705C4×Dic3—41no—
706C4×Dic3—41no—
707C4×Dic3—41no—
708C4×Dic3—41no—
709C4×Dic3—41no—
710C4×Dic3—41no—
711C2×#41—64no—
712C2×#41—122no—
713C2×#41—122no—
714C22×Q8—31no—
715C22×Q8—31no—
716C22×D4—31no—
717C22×D4—31no—
718C22×D4—31no—
719C22×D4—31no—
720C22×D4—31no—
721C22×D4C22×D311yescharacteristic
722C23×C4—31no—
723C23×C4—31no—
724C23×C4—31no—
725C23×C4—31no—
726C23×C4—31no—
727C23×C4—31no—
728C23×C4—31no—
729C23×C4C22×D311yescharacteristic
730C23×C4C22×D311yescharacteristic
731C23×C4C22×D311yescharacteristic
732#123—64no—
733#123—122no—
734#123—122no—
735#123—122no—
736C22⋊Q8—122no—
737#121—122no—
738#121—122no—
739C4×D4—122no—
740#117—122no—
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×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
804C2×C22⋊C4—31no—
805C2×C22⋊C4—31no—
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×C22⋊C4C22×D311yescharacteristic
815C2×C42—31no—
816C2×C42—31no—
817C2×C42—31no—
818C2×C42—31no—
819C2×C42—31no—
820C2×C42—31no—
821C2×C42—31no—
822C2×C42—31no—
823C2×C42—31no—
824C2×C42—122no—
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#95C22×D311yescharacteristic
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
880#95C22×D311yescharacteristic
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×C3C2×#4112yes—
893C23×C3H(5,𝔽2)12yes—
894C23×C3H(5,𝔽2)12yes—
895C23×C3C2511yescharacteristic
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×D3—21no—
907C22×D3—21no—
908C22×D3—21no—
909C22×D3—21no—
910C3×D4—44no—
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—21no—
950C2×C3×C4—44no—
951C2×C3×C4—44no—
952C2×C3×C4—82no—
953#67—44no—
954#67—44no—
955#67—44no—
956#67—82no—
957C2×Dic3—28no—
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—21no—
996C2×Dic3—21no—
997C2×Dic3—44no—
998C2×Dic3—44no—
999C2×Dic3—44no—
1000C2×Dic3—82no—
1001C2×Dic3C2×#4112yes—
1002C2×Dic3C2×#4112yes—
1003C2×Dic32−1+412yes—
1004D12—82no—
1005C4×D3—44no—
1006C4×D3—82no—
1007Dic6—44no—
1008Dic6—82no—
1009C24—31no—
1010C24—31no—
1011C24C23×D311yescharacteristic
1012C24C23×D311yescharacteristic
1013#41—1216no—
1014C2×Q8—62no—
1015C2×Q8—121no—
1016C2×Q8—121no—
1017C2×Q8—121no—
1018C2×Q8—121no—
1019C2×Q8—121no—
1020C2×D4—22no—
1021C2×D4—22no—
1022C2×D4—22no—
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—
1036C2×D4—121no—
1037C2×D4—121no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—34no—
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—31no—
1052C22×C4—31no—
1053C22×C4—31no—
1054C22×C4—31no—
1055C22×C4—31no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—62no—
1063C22×C4—62no—
1064C22×C4—62no—
1065C22×C4—62no—
1066C22×C4—62no—
1067C22×C4—62no—
1068C22×C4—62no—
1069C22×C4—62no—
1070C22×C4—62no—
1071C22×C4—62no—
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×C4—121no—
1081C22×C4—121no—
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
1093C22×C4C23×D311yescharacteristic
1094C22×C4C23×D311yescharacteristic
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—62no—
1102C4⋊C4—62no—
1103C4⋊C4—62no—
1104C4⋊C4—62no—
1105C4⋊C4—62no—
1106C4⋊C4—62no—
1107C4⋊C4—62no—
1108C4⋊C4—62no—
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—
1127C4⋊C4—121no—
1128C4⋊C4—121no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
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—121no—
1144C22⋊C4—121no—
1145C22⋊C4—121no—
1146C22⋊C4—121no—
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—
1165C22⋊C4—121no—
1166C22⋊C4—121no—
1167C42—121no—
1168C42—121no—
1169C42—121no—
1170C42—121no—
1171C42—121no—
1172C42—121no—
1173C42—121no—
1174C42—121no—
1175C42—121no—
1176C22×C3—22no—
1177C22×C3—22no—
1178C22×C3—22no—
1179C22×C3—22no—
1180C22×C3—22no—
1181C22×C3—22no—
1182C22×C3—41no—
1183C22×C3—41no—
1184C22×C3—41no—
1185C22×C3—41no—
1186C22×C3—41no—
1187C22×C3—41no—
1188C22×C3—41no—
1189C22×C3#53814yes—
1190C22×C3C22×#4111yescharacteristic
1191C22×C3C2×H(5,𝔽2)11yescharacteristic
1192C22×C3C2×H(5,𝔽2)11yescharacteristic
1193C22×C3C2×2−1+411yescharacteristic
1194C22×C3#58511yescharacteristic
1195C22×C3#58511yescharacteristic
1196C22×C3#58511yescharacteristic
1197C2×D3—41no—
1198C2×D3—41no—
1199C2×D3—41no—
1200C2×D3—41no—
1201C2×D3—41no—
1202C2×D3—41no—
1203C2×D3—41no—
1204C2×D3—41no—
1205C2×D3—41no—
1206C2×D3—41no—
1207C2×D3—41no—
1208C2×D3—41no—
1209C2×D3—41no—
1210C2×D3—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—
1222C3×C4—41no—
1223C3×C4—41no—
1224Dic3—22no—
1225Dic3—22no—
1226Dic3—22no—
1227Dic3—41no—
1228Dic3—41no—
1229Dic3—41no—
1230Dic3—41no—
1231Dic3—41no—
1232Dic3—41no—
1233Dic3—41no—
1234Dic3—41no—
1235Dic3—41no—
1236Dic3—41no—
1237Dic3—41no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—61no—
1250C23—61no—
1251C23—61no—
1252C23—61no—
1253C23—61no—
1254C23—61no—
1255C23—61no—
1256C23—61no—
1257C23—61no—
1258C23—61no—
1259C23—61no—
1260C23—61no—
1261C23—61no—
1262C23—61no—
1263C23D3×#4112yes—
1264C23#100912yes—
1265C23#100912yes—
1266C23C24×D311yescharacteristic
1267Q8—124no—
1268Q8—242no—
1269D4—44no—
1270D4—124no—
1271D4—124no—
1272D4—124no—
1273D4—242no—
1274D4—242no—
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—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—32no—
1315C2×C4—32no—
1316C2×C4—32no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—68no—
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—61no—
1354C2×C4—61no—
1355C2×C4—61no—
1356C2×C4—61no—
1357C2×C4—61no—
1358C2×C4—61no—
1359C2×C4—82no—
1360C2×C4—124no—
1361C2×C4—124no—
1362C2×C4—124no—
1363C2×C4—124no—
1364C2×C4—242no—
1365C2×C4—242no—
1366C2×C3—24no—
1367C2×C3—81no—
1368C2×C3C2×#53811yescharacteristic
1369C2×C3#349311yescharacteristic
1370C2×C3#350711yescharacteristic
1371C2×C3#353311yescharacteristic
1372C2×C3#353511yescharacteristic
1373C2×C3#355911yescharacteristic
1374C2×C3#356011yescharacteristic
1375D3—81no—
1376D3—81no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—121no—
1391C22—121no—
1392C22—121no—
1393C22—121no—
1394C22—121no—
1395C22—121no—
1396C22—121no—
1397C22—121no—
1398C22—121no—
1399C22—121no—
1400C22—121no—
1401C22—121no—
1402C22—121no—
1403C22—121no—
1404C22#570414yes—
1405C22C2×D3×#4111yescharacteristic
1406C22C2×#100911yescharacteristic
1407C22C2×#100911yescharacteristic
1408C22#596611yescharacteristic
1409C22#596611yescharacteristic
1410C22#596611yescharacteristic
1411C22D3×2−1+411yescharacteristic
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—62no—
1426C4—62no—
1427C4—62no—
1428C4—121no—
1429C4—121no—
1430C4—121no—
1431C4—121no—
1432C4—121no—
1433C4—121no—
1434C4—121no—
1435C4—121no—
1436C4—121no—
1437C4—121no—
1438C4—121no—
1439C3#3699711yescharacteristic, complemented, Sylow
1440C2—24no—
1441C2—81no—
1442C2—241no—
1443C2—241no—
1444C2C2×#570411yescharacteristic
1445C2#8639011yescharacteristic
1446C2#8639411yescharacteristic
1447C2#8640411yescharacteristic
1448C2#8643111yescharacteristic
1449C2#8644211yescharacteristic
1450C2#8646011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2643C2
prime radical#74699C2
hypercenter#2643D3
hypocenterC3#36997
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2643

Complements

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

NH ≅ G/Ntype
1. C3×#2643C2semidirect
2. #78424C2semidirect
3. #78419C2semidirect
4. #78393C2semidirect
5. #78387C2semidirect
6. #78311C2semidirect
7. #78295C2semidirect
8. #78288C2semidirect
9. #78278C2semidirect
10. #77725C2semidirect
11. #77645C2semidirect
12. #77644C2semidirect
13. #77636C2semidirect
14. #77632C2semidirect
15. #77615C2semidirect
16. #77446C2semidirect
17. #77399C2semidirect
18. #74872C2semidirect
19. #74740C2semidirect
20. #74707C2semidirect
22. #74687C2semidirect
23. #74662C2semidirect
24. #74588C2semidirect
25. #74465C2semidirect
26. #74414C2semidirect
27. #74410C2semidirect
28. #74407C2semidirect
29. #74384C2semidirect
30. #73379C2semidirect
31. C2×#4653C2semidirect
206. #2643D3semidirect
1439. C3#36997semidirect

Maximal subgroups

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

subgroupindex
C3×#26432
#784242
#784192
#783932
#783872
#783112
#782952
#782882
#782782
#777252
#776452
#776442
#776362
#776322
#776152
#774462
#773992
#748722
#747402
#747072
#746992
#746872
#746622
#745882
#744652
#744142
#744102
#744072
#743842
#733792
C2×#46532
#369973