Finite Group Databasebeta

← #11673187

Subgroups — #11673187

Order 768.

2068 conjugacy classes of subgroups.

The subgroup lattice has 1816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86928C211yesmaximal, characteristic, complemented
2#86737C211yesmaximal, characteristic, complemented
3C3×#3316C211yesmaximal, characteristic, complemented
4#83641C211yesmaximal, characteristic, complemented
5#83539C211yesmaximal, characteristic, complemented
6#81703C211yesmaximal, characteristic, complemented
7#81683C211yesmaximal, characteristic, complemented
8#81450C211yesmaximal, characteristic, complemented
9#81430C211yesmaximal, characteristic, complemented
10#81347C211yesmaximal, characteristic, complemented
11#81328C211yesmaximal, characteristic, complemented
12#81025C211yesmaximal, characteristic, complemented
13D3×#475C211yesmaximal, characteristic, complemented
14#80927C211yesmaximal, characteristic, complemented
15#80906C211yesmaximal, characteristic, complemented
16#80691C211yesmaximal, characteristic, complemented
17#80660C211yesmaximal, characteristic, complemented
18#80620C211yesmaximal, characteristic, complemented
19#80597C211yesmaximal, characteristic, complemented
20#80249C211yesmaximal, characteristic, complemented
21#80232C211yesmaximal, characteristic, complemented
22#80200C211yesmaximal, characteristic, complemented
23#80186C211yesmaximal, characteristic, complemented
24#79843C211yesmaximal, characteristic, complemented
25#79829C211yesmaximal, characteristic, complemented
26#79516C211yesmaximal, characteristic, complemented
27#79484C211yesmaximal, characteristic, complemented
28#78908C211yesmaximal, characteristic, complemented
29#78883C211yesmaximal, characteristic, complemented
30#78805C211yesmaximal, characteristic, complemented
31#78790C211yesmaximal, characteristic, complemented
32#61202—31nomaximal, Sylow
33C2×#1010C2211yescharacteristic
34C2×#1007C2211yescharacteristic
35C3×#554C2211yescharacteristic
36C3×#548C2211yescharacteristic
37#5834C2211yescharacteristic
38Q8×#67C2211yescharacteristic
39C2×#919C2211yescharacteristic
40C2×#918C2211yescharacteristic
41C2×#916C2211yescharacteristic
42C2×#907C2211yescharacteristic
43C2×#901C2211yescharacteristic
44#5734C2211yescharacteristic
45D3×C4⋊Q8C2211yescharacteristic
46#5695—21no—
47#5688—21no—
48#5677—21no—
49#5677C2211yescharacteristic
50#5668—21no—
51#5668C2211yescharacteristic
52#5641C2211yescharacteristic
53#5641C2211yescharacteristic
54#5640—21no—
55#5640—21no—
56#5633—21no—
57#5633—21no—
58#5632—21no—
59#5632C2211yescharacteristic
60#5629—21no—
61#5629C2211yescharacteristic
62#5629C2211yescharacteristic
63#5629C2211yescharacteristic
64#5608—21no—
65#5608C2211yescharacteristic
66#5599—21no—
67#5599C2211yescharacteristic
68#5579C2211yescharacteristic
69#5576C2211yescharacteristic
70C4×#239C2211yescharacteristic
71C4×D3×Q8C2211yescharacteristic
72#5563C2211yescharacteristic
73#5558—21no—
74#5552—21no—
75#5552C2211yescharacteristic
76#5548—21no—
77#5548—21no—
78#5548C2211yescharacteristic
79#5507C2211yescharacteristic
80#5507C2211yescharacteristic
81#5504C2211yescharacteristic
82#5504C2211yescharacteristic
83C3×#489C2211yescharacteristic
84C3×#483C2211yescharacteristic
85C3×#481C2211yescharacteristic
86C3×#475C2211yescharacteristic
87C3×#470C2211yescharacteristic
88C3×#465C2211yescharacteristic
89C3×#464C2211yescharacteristic
90C3×#452C2211yescharacteristic
91C3×#451C2211yescharacteristic
92C3×#441C2211yescharacteristic
93C3×#435C2211yescharacteristic
94C3×#417C2211yescharacteristic
95C2×C3×#103C2211yescharacteristic
96#5238C2211yescharacteristic
97#5233C2211yescharacteristic
98#5227C2211yescharacteristic
99#5225C2211yescharacteristic
100#5189C2211yescharacteristic
101#5187C2211yescharacteristic
102#5186C2211yescharacteristic
103#5186C2211yescharacteristic
104#5182C2211yescharacteristic
105Dic3×Q16C2211yescharacteristic
106#5173C2211yescharacteristic
107#5171C2211yescharacteristic
108#5163C2211yescharacteristic
109#5135C2211yescharacteristic
110#5128C2211yescharacteristic
111#5120C2211yescharacteristic
112#5114C2211yescharacteristic
113#5113C2211yescharacteristic
114C8×#67C2211yescharacteristic
115#5094C2211yescharacteristic
116#5089C2211yescharacteristic
117#5057C2211yescharacteristic
118#5055C2211yescharacteristic
119#5052C2211yescharacteristic
120#5050C2211yescharacteristic
121#5048C2211yescharacteristic
122#5048C2211yescharacteristic
123#5047C2211yescharacteristic
124#5045C2211yescharacteristic
125#5039C2211yescharacteristic
126#5035C2211yescharacteristic
127#5030C2211yescharacteristic
128#5028C2211yescharacteristic
129#5026C2211yescharacteristic
130#5020C2211yescharacteristic
131#5011C2211yescharacteristic
132#4971C2211yescharacteristic
133C2×#810C2211yescharacteristic
134#4968C2211yescharacteristic
135#4966C2211yescharacteristic
136#4868C2211yescharacteristic
137#4866C2211yescharacteristic
138#4865C2211yescharacteristic
139#4864C2211yescharacteristic
140#4863C2211yescharacteristic
141#4862C2211yescharacteristic
142#4861C2211yescharacteristic
143D3×#106C2211yescharacteristic
144D3×#106C2211yescharacteristic
145#4854C2211yescharacteristic
146#4854C2211yescharacteristic
147#4852C2211yescharacteristic
148#4851C2211yescharacteristic
149#4844C2211yescharacteristic
150#4836C2211yescharacteristic
151D3×C4⋊C8C2211yescharacteristic
152#4818C2211yescharacteristic
153#4816C2211yescharacteristic
154#4814C2211yescharacteristic
155#4810C2211yescharacteristic
156#4807C2211yescharacteristic
157#4807C2211yescharacteristic
158#4806C2211yescharacteristic
159#4806C2211yescharacteristic
160#4805C2211yescharacteristic
161#4804C2211yescharacteristic
162#4804C2211yescharacteristic
163#4803C2211yescharacteristic
164#4803C2211yescharacteristic
165#4803C2211yescharacteristic
166#4803C2211yescharacteristic
167#4802C2211yescharacteristic
168#4802C2211yescharacteristic
169#4802C2211yescharacteristic
170D3×#103C2211yescharacteristic
171D3×#103C2211yescharacteristic
172D3×#103C2211yescharacteristic
173D3×#103C2211yescharacteristic
174#4792C2211yescharacteristic
175#4792C2211yescharacteristic
176#4791C2211yescharacteristic
177#4791C2211yescharacteristic
178#4790C2211yescharacteristic
179#4788C2211yescharacteristic
180#4786C2211yescharacteristic
181#4784C2211yescharacteristic
182#4782C2211yescharacteristic
183#4781C2211yescharacteristic
184#4777C2211yescharacteristic
185#4772C2211yescharacteristic
186#4772C2211yescharacteristic
187#4771C2211yescharacteristic
188#4771C2211yescharacteristic
189#4771C2211yescharacteristic
190#4760C2211yescharacteristic
191#4760C2211yescharacteristic
192#4738C2211yescharacteristic
193#4737C2211yescharacteristic
194#4734C2211yescharacteristic
195#4729C2211yescharacteristic
196#4727C2211yescharacteristic
197#4727C2211yescharacteristic
198#67⋊C8C2211yescharacteristic
199#4723C2211yescharacteristic
200#4714C2211yescharacteristic
201#4710C2211yescharacteristic
202#4707C2211yescharacteristic
203#4706C2211yescharacteristic
204#3511—31no—
205#3497—31no—
206#3332—31no—
207#3332—31no—
208#3328—31no—
209#3328—31no—
210#3321—31no—
211#3321—31no—
212#3321—31no—
213#3321—31no—
214#3316—31no—
215#3316—31no—
216#3316—31no—
217#3316D311yescharacteristic, complemented
218#3304—31no—
219#3304—31no—
220#3298—31no—
221#3298—31no—
222#3141—31no—
223#3099—31no—
224#3099—31no—
225C2×#475—31no—
226#3060—31no—
227#3060—31no—
228#3035—31no—
229#3013—31no—
230#3013—31no—
231C4×#137—31no—
232#2935—31no—
233#2898—31no—
234#2898—31no—
235C2×C3×#41C2311yescharacteristic
236C22×C3×Q8C2311yescharacteristic
237#1010—24no—
238#1010—42no—
239#1007—24no—
240#1007—42no—
241C2×#239—21no—
242C2×#239C2311yescharacteristic
243C2×#239C2311yescharacteristic
244C2×#239C2311yescharacteristic
245C2×D3×Q8—21no—
246C2×D3×Q8—21no—
247C2×D3×Q8C2311yescharacteristic
248C2×D3×Q8C2311yescharacteristic
249C2×D3×Q8C2311yescharacteristic
250C2×#237—21no—
251C2×#237—21no—
252C2×#237C2311yescharacteristic
253C2×#237C2311yescharacteristic
254C2×#235—21no—
255C2×#235—21no—
256C2×#235—21no—
257C2×#235—21no—
258C2×#235—21no—
259C2×#235C2311yescharacteristic
260C2×#235C2311yescharacteristic
261C2×#235C2311yescharacteristic
262C22×Dic6—21no—
263C22×Dic6C2311yescharacteristic
264C2×C3×Q16C2311yescharacteristic
265C2×C3×Q16C2311yescharacteristic
266C2×C3×SD16C2311yescharacteristic
267C2×C3×M16C2311yescharacteristic
268C22×C3×C8C2311yescharacteristic
269C3×C4⋊Q8C2311yescharacteristic
270C3×#125—21no—
271C3×#124—21no—
272C3×#124C2311yescharacteristic
273C3×C22⋊Q8—21no—
274C3×C22⋊Q8—21no—
275C3×C22⋊Q8—21no—
276C3×C22⋊Q8C2311yescharacteristic
277C3×C22⋊Q8C2311yescharacteristic
278C3×C22⋊Q8C2311yescharacteristic
279C3×#121—21no—
280C3×#121C2311yescharacteristic
281C3×C4×Q8C2311yescharacteristic
282C3×C4×Q8C2311yescharacteristic
283C3×C4×D4—21no—
284C3×C4×D4—21no—
285C3×C4×D4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288#947—21no—
289#947—21no—
290#946—21no—
291#946C2311yescharacteristic
292#946C2311yescharacteristic
293#946C2311yescharacteristic
294Q8×Dic3C2311yescharacteristic
295Q8×Dic3C2311yescharacteristic
296#944—21no—
297#944—21no—
298#944C2311yescharacteristic
299C2×#216C2311yescharacteristic
300C2×#216C2311yescharacteristic
301C2×#215C2311yescharacteristic
302C2×#215C2311yescharacteristic
303C2×#215C2311yescharacteristic
304#940—21no—
305#940—21no—
306#940D411yescharacteristic
307#940C2311yescharacteristic
308#939—21no—
309#939—21no—
310#939—21no—
311#938—21no—
312#938—21no—
313#938—21no—
314#938D411yescharacteristic
315#938C2311yescharacteristic
316C2×#213C2311yescharacteristic
317#930—21no—
318#930C2311yescharacteristic
319#930C2311yescharacteristic
320#930C2311yescharacteristic
321#929—21no—
322#929—21no—
323C4×#67—21no—
324C4×#67—21no—
325C4×#67—21no—
326C4×#67—21no—
327C4×#67—21no—
328C4×#67—21no—
329C4×#67C2311yescharacteristic
330C4×#67C2311yescharacteristic
331#926C2311yescharacteristic
332#926C2311yescharacteristic
333#924—21no—
334#924C2311yescharacteristic
335C2×#208C2311yescharacteristic
336C22×C3⋊C8C2311yescharacteristic
337#919—42no—
338#918—24no—
339#916—42no—
340#907—42no—
341C2×D24C2311yescharacteristic
342C2×#204C2311yescharacteristic
343C2×#204C2311yescharacteristic
344#901—42no—
345C2×ΓL(1,𝔽25)C2311yescharacteristic
346C2×ΓL(1,𝔽25)C2311yescharacteristic
347C2×ΓL(1,𝔽25)C2311yescharacteristic
348C2×ΓL(1,𝔽25)C2311yescharacteristic
349C2×D3×C8C2311yescharacteristic
350C2×D3×C8C2311yescharacteristic
351C2×D3×C8C2311yescharacteristic
352C2×D3×C8C2311yescharacteristic
353#898—21no—
354#898—21no—
355#897—21no—
356#897C2311yescharacteristic
357#896—21no—
358#896—21no—
359#896—21no—
360#896—21no—
361#896—21no—
362#896—21no—
363#896—21no—
364#896—21no—
365#896—21no—
366#895—21no—
367#895—21no—
368#895—21no—
369#895—21no—
370#895—21no—
371#895D411yescharacteristic
372#895C2311yescharacteristic
373#895C2311yescharacteristic
374#895C2311yescharacteristic
375#894—21no—
376#894—21no—
377#893—21no—
378#893—21no—
379#893—21no—
380#893C2311yescharacteristic
381#892—21no—
382#892—21no—
383#892—21no—
384#892C2311yescharacteristic
385#892C2311yescharacteristic
386#892C2311yescharacteristic
387D3×C4⋊C4—21no—
388D3×C4⋊C4—21no—
389D3×C4⋊C4C2311yescharacteristic
390D3×C4⋊C4C2311yescharacteristic
391D3×C4⋊C4C2311yescharacteristic
392D3×C4⋊C4C2311yescharacteristic
393D3×C4⋊C4C2311yescharacteristic
394#888—21no—
395#888—21no—
396#888D411yescharacteristic
397#888C2311yescharacteristic
398#888C2311yescharacteristic
399#887—21no—
400#887—21no—
401#887—21no—
402#887—21no—
403#887—21no—
404#887C2311yescharacteristic
405#885—21no—
406#885—21no—
407#885—21no—
408#885—21no—
409#885—21no—
410#885—21no—
411#885D411yescharacteristic
412#885D411yescharacteristic
413#884—21no—
414#884—21no—
415#884—21no—
416#884—21no—
417#884—21no—
418#884—21no—
419#884—21no—
420#884—21no—
421#884—21no—
422#884—21no—
423#884—21no—
424#884D411yescharacteristic
425#884D411yescharacteristic
426#67⋊C4—21no—
427#67⋊C4—21no—
428#67⋊C4—21no—
429#67⋊C4—21no—
430#67⋊C4—21no—
431#67⋊C4—21no—
432#879—21no—
433#879—21no—
434#878—21no—
435#878—21no—
436#878—21no—
437#875—21no—
438#875C2311yescharacteristic
439C4×D12—21no—
440C4×D12—21no—
441C4×D12—21no—
442C4×D12C2311yescharacteristic
443C4×D12C2311yescharacteristic
444C42×D3—21no—
445C42×D3—21no—
446C42×D3C2311yescharacteristic
447#870—21no—
448#869C2311yescharacteristic
449C4×Dic6—21no—
450C4×Dic6C2311yescharacteristic
451C3×#106C2311yescharacteristic
452C3×#106C2311yescharacteristic
453C3×#106C2311yescharacteristic
454C3×C4⋊C8C2311yescharacteristic
455C3×#103C2311yescharacteristic
456C3×#103C2311yescharacteristic
457C3×#103C2311yescharacteristic
458C3×#103C2311yescharacteristic
459C3×#103C2311yescharacteristic
460C3×#103C2311yescharacteristic
461C3×#103C2311yescharacteristic
462C3×#102C2311yescharacteristic
463C3×#102C2311yescharacteristic
464C3×#102C2311yescharacteristic
465C3×C22⋊C8C2311yescharacteristic
466C3×C22⋊C8C2311yescharacteristic
467C3×#97C2311yescharacteristic
468#835C2311yescharacteristic
469#835C2311yescharacteristic
470#835C2311yescharacteristic
471#835C2311yescharacteristic
472#835C2311yescharacteristic
473#835C2311yescharacteristic
474#835C2311yescharacteristic
475#832C2311yescharacteristic
476#832C2311yescharacteristic
477#832C2311yescharacteristic
478#830C2311yescharacteristic
479#830C2311yescharacteristic
480#821C2311yescharacteristic
481#821C2311yescharacteristic
482#821C2311yescharacteristic
483#821C2311yescharacteristic
484(C2×D3)⋊C8C2311yescharacteristic
485(C2×D3)⋊C8C2311yescharacteristic
486(C2×D3)⋊C8C2311yescharacteristic
487(C2×D3)⋊C8C2311yescharacteristic
488#818C2311yescharacteristic
489#817C2311yescharacteristic
490#817C2311yescharacteristic
491#816C2311yescharacteristic
492#816C2311yescharacteristic
493#816C2311yescharacteristic
494#816C2311yescharacteristic
495#816C2311yescharacteristic
496#816C2311yescharacteristic
497Dic3⋊C8C2311yescharacteristic
498Dic3⋊C8C2311yescharacteristic
499C8×Dic3C2311yescharacteristic
500C8×Dic3C2311yescharacteristic
501#810C2311yescharacteristic
502#810C2311yescharacteristic
503#810C2311yescharacteristic
504#810C2311yescharacteristic
505#810C2311yescharacteristic
506#810C2311yescharacteristic
507#809C2311yescharacteristic
508#809C2311yescharacteristic
509#809C2311yescharacteristic
510#809C2311yescharacteristic
511#808C2311yescharacteristic
512#808C2311yescharacteristic
513#808C2311yescharacteristic
514#808C2311yescharacteristic
515#808C2311yescharacteristic
516#807C2311yescharacteristic
517C4⋊(C3⋊C8)C2311yescharacteristic
518#803C2311yescharacteristic
519C2×2−1+4—31no—
520C2×2−1+4—31no—
521C2×#137—31no—
522C2×#135—31no—
523C2×#135—31no—
524C2×#131—31no—
525C2×#131—31no—
526#556—31no—
527#556—31no—
528#555—31no—
529#555—31no—
530#554—31no—
531#554C2×D311yescharacteristic
532#553—61no—
533#553—61no—
534#550—31no—
535#550—31no—
536#550—61no—
537D4×Q8—31no—
538D4×Q8—31no—
539D4×Q8—61no—
540#548—31no—
541#548—31no—
542#548—31no—
543#548—61no—
544#548—61no—
545#548—61no—
546#548—61no—
547#548C2×D311yescharacteristic
548#547—31no—
549#547—31no—
550#542—61no—
551#542—61no—
552#537—31no—
553#537—31no—
554#537—31no—
555#537—31no—
556#537—61no—
557#537—61no—
558#533—61no—
559#532—31no—
560#532—31no—
561#532—61no—
562#532—61no—
563#532—61no—
564C2×C4⋊Q8—31no—
565#520—31no—
566#520—31no—
567C4×#41—31no—
568C2×C4×Q8—31no—
569#489—31no—
570#489—31no—
571#489—31no—
572#489C2×D311yescharacteristic
573#487—31no—
574#487—31no—
575#486—31no—
576#486—31no—
577#485—31no—
578#485—31no—
579#485—31no—
580#485—31no—
581#483—31no—
582#483—31no—
583#483—31no—
584#483C2×D311yescharacteristic
585#482—31no—
586#482—31no—
587#482—31no—
588#482—31no—
589#481—31no—
590#481—31no—
591#481—31no—
592#481C2×D311yescharacteristic
593#475—31no—
594#475—31no—
595#475—31no—
596#475—31no—
597#475—31no—
598#475—31no—
599#475—31no—
600#475C2×D311yescharacteristic
601#470—31no—
602#470—31no—
603#470—31no—
604#470C2×D311yescharacteristic
605#469—31no—
606#469—31no—
607#469—31no—
608#469—31no—
609#465—31no—
610#465—31no—
611#465—31no—
612#465—31no—
613#465—31no—
614#465—31no—
615#465—31no—
616#465C2×D311yescharacteristic
617#464—31no—
618#464C2×D311yescharacteristic
619#463—31no—
620#463—31no—
621#462—31no—
622#461—31no—
623#460—31no—
624#459—31no—
625#452—31no—
626#452—31no—
627#452—31no—
628#452C2×D311yescharacteristic
629#451—31no—
630#451—31no—
631#451—31no—
632#451C2×D311yescharacteristic
633#449—31no—
634#449—31no—
635#449—31no—
636#449—31no—
637#448—31no—
638#448—31no—
639#448—31no—
640#448—31no—
641#441—31no—
642#441C2×D311yescharacteristic
643#440—31no—
644#440—31no—
645C4×Q16—31no—
646C4×Q16—31no—
647C4×SD16—31no—
648C4×SD16—31no—
649#436—31no—
650#436—31no—
651#435—31no—
652#435—31no—
653#435—31no—
654#435C2×D311yescharacteristic
655C8×D4—31no—
656C8×D4—31no—
657#428—31no—
658C2×#106—31no—
659C2×#106—31no—
660C2×C4⋊C8—31no—
661#419—31no—
662#419—31no—
663#419—31no—
664#419—31no—
665#419—31no—
666#417—31no—
667#417—31no—
668#417—31no—
669#417—31no—
670#417—31no—
671#417—31no—
672#417—31no—
673#417—31no—
674#417C2×D311yescharacteristic
675#416—31no—
676#416—31no—
677#416—31no—
678#416—31no—
679#416—31no—
680#416—31no—
681C2×#103—31no—
682C2×#103—31no—
683C2×#103—31no—
684C2×#103—31no—
685C2×#103—31no—
686C2×#103C2×D311yescharacteristic
687#408—31no—
688#408—31no—
689C4×M16—31no—
690C3×#41—22no—
691C3×#41—41no—
692C2×C3×Q8—21no—
693C2×C3×Q8—21no—
694C2×C3×Q8—22no—
695C2×C3×Q8—41no—
696C2×C3×Q8C2411yescharacteristic
697C2×C3×Q8C2411yescharacteristic
698C2×C3×Q8C2411yescharacteristic
699C2×C3×D4—21no—
700C2×C3×D4—21no—
701C2×C3×D4C2×D411yescharacteristic
702C2×C3×D4C2411yescharacteristic
703C22×C3×C4—21no—
704C22×C3×C4—21no—
705C22×C3×C4—21no—
706C22×C3×C4—21no—
707C22×C3×C4C2411yescharacteristic
708C22×C3×C4C2411yescharacteristic
709C2×#67—21no—
710C2×#67—21no—
711C2×#67—21no—
712C2×#67—21no—
713C2×#67—21no—
714C2×#67—21no—
715C2×#67—21no—
716C2×#67—21no—
717C2×#67—21no—
718C2×#67C2×D411yescharacteristic
719C2×#67C2×D411yescharacteristic
720C2×#67C2×D411yescharacteristic
721C2×#67C2×D411yescharacteristic
722C2×#67C2×D411yescharacteristic
723C2×#67C2×D411yescharacteristic
724C22×Dic3—21no—
725C22×Dic3—21no—
726C22×Dic3—21no—
727#239—22no—
728#239—22no—
729#239—22no—
730#239—22no—
731#239—22no—
732#239—41no—
733#239—44no—
734D3×Q8—22no—
735D3×Q8—22no—
736D3×Q8—22no—
737D3×Q8—44no—
738D3×Q8—41no—
739D3×Q8—41no—
740D3×Q8—82no—
741D3×Q8#4114yescomplemented
742#237—22no—
743#237—22no—
744#237—22no—
745#237—41no—
746#237—44no—
747#237—44no—
748#235—22no—
749#235—22no—
750#235—22no—
751#235—22no—
752#235—22no—
753#235—41no—
754#235—44no—
755#235—44no—
756#235—44no—
757#235—82no—
758#235—82no—
759C2×D12—21no—
760C2×D12—21no—
761C2×D12—21no—
762C2×D12—21no—
763C2×D12—21no—
764C2×D12—21no—
765C2×D12C2×D411yescharacteristic
766C2×D12C2×D411yescharacteristic
767C2×D12C2×D411yescharacteristic
768C2×D12C2411yescharacteristic
769C2×D12C2411yescharacteristic
770C2×C4×D3—21no—
771C2×C4×D3—21no—
772C2×C4×D3—21no—
773C2×C4×D3—21no—
774C2×C4×D3—21no—
775C2×C4×D3—21no—
776C2×C4×D3—21no—
777C2×C4×D3—21no—
778C2×C4×D3—21no—
779C2×C4×D3—21no—
780C2×C4×D3—21no—
781C2×C4×D3—21no—
782C2×C4×D3—21no—
783C2×C4×D3—21no—
784C2×C4×D3C2×D411yescharacteristic
785C2×C4×D3C2×D411yescharacteristic
786C2×C4×D3C2411yescharacteristic
787C2×C4×D3C2411yescharacteristic
788C2×C4×D3C2411yescharacteristic
789C2×Dic6—21no—
790C2×Dic6—22no—
791C2×Dic6—21no—
792C2×Dic6—21no—
793C2×Dic6—21no—
794C2×Dic6—21no—
795C2×Dic6—21no—
796C2×Dic6—21no—
797C2×Dic6—41no—
798C2×Dic6—44no—
799C2×Dic6C2×D411yescharacteristic
800C2×Dic6C2×D411yescharacteristic
801C2×Dic6C2411yescharacteristic
802C2×Dic6C2411yescharacteristic
803C3×Q16—22no—
804C3×Q16—41no—
805C3×SD16—41no—
806C3×M16—41no—
807C2×C3×C8—41no—
808C2×C3×C8C2411yescharacteristic
809C2×C3×C8C2411yescharacteristic
810C2×C3×C8C2411yescharacteristic
811C2×C3×C8C2411yescharacteristic
812C3×C4⋊C4—21no—
813C3×C4⋊C4—21no—
814C3×C4⋊C4—21no—
815C3×C4⋊C4—21no—
816C3×C4⋊C4—21no—
817C3×C4⋊C4—21no—
818C3×C4⋊C4—21no—
819C3×C4⋊C4—21no—
820C3×C4⋊C4C2×D411yescharacteristic
821C3×C4⋊C4C2411yescharacteristic
822C3×C4⋊C4C2411yescharacteristic
823C3×C4⋊C4C2411yescharacteristic
824C3×C4⋊C4C2411yescharacteristic
825C3×C22⋊C4—21no—
826C3×C22⋊C4—21no—
827C3×C22⋊C4—21no—
828C3×C22⋊C4—21no—
829C3×C22⋊C4—21no—
830C3×C22⋊C4—21no—
831C3×C22⋊C4C2×D411yescharacteristic
832C3×C22⋊C4C2×D411yescharacteristic
833C3×C42—21no—
834C3×C42—21no—
835C3×C42C2411yescharacteristic
836#217—21no—
837#217—21no—
838#217—21no—
839#217—21no—
840#217C2×D411yescharacteristic
841#217C2×D411yescharacteristic
842#216—22no—
843#216—41no—
844#215—22no—
845#215—41no—
846#215—41no—
847#213—41no—
848(C2×D3)⋊C4—21no—
849(C2×D3)⋊C4—21no—
850(C2×D3)⋊C4—21no—
851(C2×D3)⋊C4—21no—
852(C2×D3)⋊C4—21no—
853(C2×D3)⋊C4—21no—
854(C2×D3)⋊C4—21no—
855(C2×D3)⋊C4—21no—
856(C2×D3)⋊C4—21no—
857(C2×D3)⋊C4—21no—
858(C2×D3)⋊C4—21no—
859(C2×D3)⋊C4—21no—
860(C2×D3)⋊C4—21no—
861(C2×D3)⋊C4—21no—
862(C2×D3)⋊C4—21no—
863(C2×D3)⋊C4—21no—
864(C2×D3)⋊C4—21no—
865(C2×D3)⋊C4C2×D411yescharacteristic
866(C2×D3)⋊C4C2×D411yescharacteristic
867(C2×D3)⋊C4C2×D411yescharacteristic
868(C2×D3)⋊C4C2×D411yescharacteristic
869C4⋊Dic3—21no—
870C4⋊Dic3—21no—
871C4⋊Dic3—21no—
872C4⋊Dic3—21no—
873C4⋊Dic3C2×D411yescharacteristic
874C4⋊Dic3C2411yescharacteristic
875C4⋊Dic3C2411yescharacteristic
876C4⋊Dic3C2411yescharacteristic
877C4⋊Dic3C2411yescharacteristic
878Dic3⋊C4—21no—
879Dic3⋊C4—21no—
880Dic3⋊C4—21no—
881Dic3⋊C4—21no—
882Dic3⋊C4—21no—
883Dic3⋊C4—21no—
884Dic3⋊C4—21no—
885Dic3⋊C4—21no—
886Dic3⋊C4—21no—
887Dic3⋊C4—21no—
888Dic3⋊C4—21no—
889Dic3⋊C4—21no—
890Dic3⋊C4—21no—
891Dic3⋊C4—21no—
892Dic3⋊C4—21no—
893Dic3⋊C4C2×D411yescharacteristic
894Dic3⋊C4C2×D411yescharacteristic
895C4×Dic3—21no—
896C4×Dic3—21no—
897C4×Dic3—21no—
898C4×Dic3—21no—
899C4×Dic3—21no—
900C4×Dic3—21no—
901C4×Dic3—21no—
902C4×Dic3—21no—
903C4×Dic3—21no—
904C4×Dic3C2×D411yescharacteristic
905C4×Dic3C2×D411yescharacteristic
906C4×Dic3C2411yescharacteristic
907#208—41no—
908C2×C3⋊C8—41no—
909C2×C3⋊C8C2411yescharacteristic
910C2×C3⋊C8C2411yescharacteristic
911C2×C3⋊C8C2411yescharacteristic
912C2×C3⋊C8C2411yescharacteristic
913D24—41no—
914#204—22no—
915#204—41no—
916ΓL(1,𝔽25)—22no—
917ΓL(1,𝔽25)—22no—
918ΓL(1,𝔽25)—41no—
919ΓL(1,𝔽25)—41no—
920D3×C8—22no—
921D3×C8—22no—
922D3×C8—41no—
923D3×C8—41no—
9242−1+4—64no—
9252−1+4—64no—
9262−1+4—122no—
9272−1+4—122no—
928C2×#41—31no—
929C2×#41—31no—
930C2×#41—31no—
931C2×#41—31no—
932C2×#41—31no—
933C2×#41—31no—
934C2×#41—31no—
935C2×#41—31no—
936C2×#41—61no—
937C2×#41—61no—
938C2×#41—61no—
939C2×#41—61no—
940C2×#41—61no—
941C2×#41—61no—
942C2×#41—61no—
943C2×#41—61no—
944C2×#41C22×D311yescharacteristic
945C22×Q8—31no—
946C22×Q8—31no—
947C22×Q8—31no—
948C22×Q8—31no—
949C22×Q8—61no—
950C22×Q8—61no—
951C22×Q8—61no—
952C22×Q8C22×D311yescharacteristic
953#137—64no—
954#135—122no—
955#135—122no—
956C2×Q16—31no—
957C2×Q16—31no—
958C2×Q16C22×D311yescharacteristic
959C2×Q16C22×D311yescharacteristic
960C2×SD16—31no—
961C2×SD16—31no—
962C2×SD16—31no—
963C2×SD16—31no—
964C2×SD16—31no—
965C2×SD16C22×D311yescharacteristic
966C2×D8—31no—
967C2×D8—31no—
968#131—122no—
969#131—122no—
970C2×M16—31no—
971C2×M16—31no—
972C2×M16—31no—
973C2×M16—31no—
974C2×M16—31no—
975C2×M16C22×D311yescharacteristic
976C22×C8—31no—
977C22×C8—31no—
978C22×C8—31no—
979C22×C8—31no—
980C22×C8—31no—
981C22×C8C22×D311yescharacteristic
982C4⋊Q8—31no—
983C4⋊Q8—31no—
984C4⋊Q8—31no—
985C4⋊Q8—31no—
986C4⋊Q8—31no—
987C4⋊Q8—61no—
988C4⋊Q8—61no—
989C4⋊Q8—61no—
990C4⋊Q8—61no—
991C4⋊Q8C22×D311yescharacteristic
992#127—31no—
993#127—31no—
994#127—61no—
995#127—61no—
996#126—61no—
997#126—61no—
998#126—61no—
999#126—61no—
1000#125—21no—
1001#125—61no—
1002#124—21no—
1003#124—31no—
1004#124—31no—
1005#124—31no—
1006#124—61no—
1007#124—61no—
1008#124—61no—
1009#124—61no—
1010#124—61no—
1011#124—61no—
1012#124—61no—
1013#124—61no—
1014#124—61no—
1015#124C22×D311yescharacteristic
1016#123—61no—
1017#123—61no—
1018#123—61no—
1019#123—61no—
1020C22⋊Q8—21no—
1021C22⋊Q8—21no—
1022C22⋊Q8—21no—
1023C22⋊Q8—31no—
1024C22⋊Q8—31no—
1025C22⋊Q8—31no—
1026C22⋊Q8—31no—
1027C22⋊Q8—31no—
1028C22⋊Q8—61no—
1029C22⋊Q8—61no—
1030C22⋊Q8—61no—
1031C22⋊Q8—61no—
1032C22⋊Q8—61no—
1033C22⋊Q8—61no—
1034C22⋊Q8—61no—
1035C22⋊Q8—61no—
1036C22⋊Q8—61no—
1037C22⋊Q8—61no—
1038C22⋊Q8—61no—
1039C22⋊Q8—61no—
1040C22⋊Q8—61no—
1041C22⋊Q8—61no—
1042C22⋊Q8—61no—
1043C22⋊Q8C22×D311yescharacteristic
1044C22⋊Q8C22×D311yescharacteristic
1045C22⋊Q8C22×D311yescharacteristic
1046#121—21no—
1047#121—31no—
1048#121—31no—
1049#121—31no—
1050#121—31no—
1051#121—31no—
1052#121—31no—
1053#121—31no—
1054#121—31no—
1055#121—31no—
1056#121—31no—
1057#121—31no—
1058#121—61no—
1059#121—61no—
1060#121—61no—
1061#121—61no—
1062#121—61no—
1063#121—61no—
1064#121—61no—
1065#121—61no—
1066#121—61no—
1067#121—61no—
1068#121—61no—
1069#121—61no—
1070#121—61no—
1071#121—61no—
1072#121—61no—
1073#121—61no—
1074#121—61no—
1075#121—61no—
1076#121—61no—
1077#121—61no—
1078#121—61no—
1079#121—61no—
1080#121—61no—
1081#121C22×D311yescharacteristic
1082C4×Q8—31no—
1083C4×Q8—31no—
1084C4×Q8—31no—
1085C4×Q8—31no—
1086C4×Q8—61no—
1087C4×Q8—61no—
1088C4×Q8—61no—
1089C4×Q8—61no—
1090C4×Q8—61no—
1091C4×Q8—61no—
1092C4×Q8C22×D311yescharacteristic
1093C4×Q8C22×D311yescharacteristic
1094C4×D4—21no—
1095C4×D4—21no—
1096C4×D4—31no—
1097C4×D4—31no—
1098C4×D4—31no—
1099C4×D4—31no—
1100C4×D4—31no—
1101C4×D4—61no—
1102C4×D4—61no—
1103C4×D4—61no—
1104C4×D4—61no—
1105C4×D4—61no—
1106C4×D4—61no—
1107C4×D4—61no—
1108C4×D4—61no—
1109C4×D4—61no—
1110C4×D4—61no—
1111C4×D4—61no—
1112C4×D4—61no—
1113C4×D4—61no—
1114C4×D4—61no—
1115C4×D4—61no—
1116C4×D4—61no—
1117C4×D4—61no—
1118C4×D4—61no—
1119C4×D4C22×D311yescharacteristic
1120#117—31no—
1121#117—31no—
1122#117—31no—
1123#117—31no—
1124#117—31no—
1125#117—61no—
1126#117—61no—
1127#117—61no—
1128C2×C4⋊C4—31no—
1129C2×C4⋊C4—31no—
1130C2×C4⋊C4—31no—
1131C2×C4⋊C4—31no—
1132C2×C4⋊C4—31no—
1133C2×C4⋊C4—61no—
1134C2×C4⋊C4—61no—
1135C2×C4⋊C4C22×D311yescharacteristic
1136C2×C4⋊C4C22×D311yescharacteristic
1137C2×C42—31no—
1138C2×C42—61no—
1139C2×C42—61no—
1140#107—31no—
1141#107—31no—
1142#106—31no—
1143#106—31no—
1144#106—31no—
1145#106—31no—
1146#106—31no—
1147#106—31no—
1148#106—31no—
1149#106C22×D311yescharacteristic
1150#106C22×D311yescharacteristic
1151#106C22×D311yescharacteristic
1152C4⋊C8—31no—
1153C4⋊C8—31no—
1154C4⋊C8—31no—
1155C4⋊C8C22×D311yescharacteristic
1156#103—31no—
1157#103—31no—
1158#103—31no—
1159#103—31no—
1160#103—31no—
1161#103—31no—
1162#103—31no—
1163#103—31no—
1164#103—31no—
1165#103—31no—
1166#103—31no—
1167#103—31no—
1168#103—31no—
1169#103—31no—
1170#103—31no—
1171#103—31no—
1172#103—31no—
1173#103—31no—
1174#103—31no—
1175#103C22×D311yescharacteristic
1176#103C22×D311yescharacteristic
1177#103C22×D311yescharacteristic
1178#103C22×D311yescharacteristic
1179#103C22×D311yescharacteristic
1180#103C22×D311yescharacteristic
1181#103C22×D311yescharacteristic
1182#102—31no—
1183#102—31no—
1184#102—31no—
1185#102—31no—
1186#102—31no—
1187#102—31no—
1188#102—31no—
1189#102—31no—
1190#102—31no—
1191#102—31no—
1192#102—31no—
1193#102C22×D311yescharacteristic
1194#102C22×D311yescharacteristic
1195#102C22×D311yescharacteristic
1196C22⋊C8—31no—
1197C22⋊C8—31no—
1198C22⋊C8—31no—
1199C22⋊C8—31no—
1200C22⋊C8—31no—
1201C22⋊C8—31no—
1202C22⋊C8C22×D311yescharacteristic
1203C22⋊C8C22×D311yescharacteristic
1204#97—31no—
1205#97C22×D311yescharacteristic
1206C4×C8—31no—
1207C4×C8—31no—
1208C23×C3—21no—
1209C23×C3C22×D411yescharacteristic
1210C23×C3C22×D411yescharacteristic
1211C22×D3—21no—
1212C22×D3—21no—
1213C22×D3C22×D411yescharacteristic
1214C22×D3C22×D411yescharacteristic
1215C22×D3C22×D411yescharacteristic
1216C3×Q8—21no—
1217C3×Q8—21no—
1218C3×Q8—21no—
1219C3×Q8—21no—
1220C3×Q8—21no—
1221C3×Q8—42no—
1222C3×Q8—81no—
1223C3×Q8C2×#4112yes—
1224C3×D4—21no—
1225C3×D4—21no—
1226C3×D4—41no—
1227C3×D4—42no—
1228C3×D4—81no—
1229C2×C3×C4—21no—
1230C2×C3×C4—21no—
1231C2×C3×C4—21no—
1232C2×C3×C4—21no—
1233C2×C3×C4—21no—
1234C2×C3×C4—21no—
1235C2×C3×C4—21no—
1236C2×C3×C4—21no—
1237C2×C3×C4—21no—
1238C2×C3×C4—21no—
1239C2×C3×C4—21no—
1240C2×C3×C4—42no—
1241C2×C3×C4—42no—
1242C2×C3×C4—81no—
1243C2×C3×C4—81no—
1244C2×C3×C4C22×D411yescharacteristic
1245C2×C3×C4C22×D411yescharacteristic
1246C2×C3×C4C22×D411yescharacteristic
1247C2×C3×C4C22×D411yescharacteristic
1248C2×C3×C4C2511yescharacteristic
1249#67—22no—
1250#67—22no—
1251#67—22no—
1252#67—22no—
1253#67—22no—
1254#67—22no—
1255#67—42no—
1256#67—42no—
1257#67—42no—
1258#67—42no—
1259#67—81no—
1260#67—81no—
1261#67—81no—
1262#67—81no—
1263#67—81no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—42no—
1271C2×Dic3—42no—
1272C2×Dic3—42no—
1273C2×Dic3C22×D411yescharacteristic
1274C2×Dic3C22×D411yescharacteristic
1275C2×Dic3C22×D411yescharacteristic
1276C2×Dic3C22×D411yescharacteristic
1277C2×Dic3C22×D411yescharacteristic
1278D12—22no—
1279D12—22no—
1280D12—21no—
1281D12—21no—
1282D12—21no—
1283D12—21no—
1284D12—41no—
1285D12—42no—
1286D12—42no—
1287D12—42no—
1288D12—81no—
1289D12—81no—
1290D12—81no—
1291C4×D3—24no—
1292C4×D3—21no—
1293C4×D3—21no—
1294C4×D3—21no—
1295C4×D3—21no—
1296C4×D3—22no—
1297C4×D3—41no—
1298C4×D3—42no—
1299C4×D3—42no—
1300C4×D3—42no—
1301C4×D3—42no—
1302C4×D3—42no—
1303C4×D3—42no—
1304C4×D3—42no—
1305C4×D3—42no—
1306C4×D3—81no—
1307C4×D3—81no—
1308C4×D3—81no—
1309C4×D3—81no—
1310C4×D3—81no—
1311C4×D3C2×#4112yes—
1312C4×D3H(5,𝔽2)12yes—
1313Dic6—21no—
1314Dic6—24no—
1315Dic6—22no—
1316Dic6—22no—
1317Dic6—21no—
1318Dic6—21no—
1319Dic6—42no—
1320Dic6—42no—
1321Dic6—42no—
1322Dic6—42no—
1323Dic6—42no—
1324Dic6—81no—
1325Dic6C2×#4112yes—
1326C3×C8—21no—
1327C3×C8—21no—
1328C3×C8—21no—
1329C3×C8—21no—
1330C3⋊C8—21no—
1331C3⋊C8—21no—
1332C3⋊C8—21no—
1333C3⋊C8—21no—
1334#41—22no—
1335#41—41no—
1336#41—62no—
1337#41—62no—
1338#41—62no—
1339#41—62no—
1340#41—62no—
1341#41—62no—
1342#41—62no—
1343#41—62no—
1344#41—62no—
1345#41—62no—
1346#41—62no—
1347#41—62no—
1348#41—62no—
1349#41—121no—
1350#41—124no—
1351#41—124no—
1352#41—124no—
1353#41—121no—
1354#41—124no—
1355#41—121no—
1356#41—124no—
1357#41—124no—
1358#41—242no—
1359#41—242no—
1360C2×Q8—21no—
1361C2×Q8—21no—
1362C2×Q8—22no—
1363C2×Q8—31no—
1364C2×Q8—31no—
1365C2×Q8—34no—
1366C2×Q8—31no—
1367C2×Q8—31no—
1368C2×Q8—41no—
1369C2×Q8—61no—
1370C2×Q8—61no—
1371C2×Q8—61no—
1372C2×Q8—61no—
1373C2×Q8—61no—
1374C2×Q8—62no—
1375C2×Q8—62no—
1376C2×Q8—61no—
1377C2×Q8—61no—
1378C2×Q8—62no—
1379C2×Q8—62no—
1380C2×Q8—121no—
1381C2×Q8—124no—
1382C2×Q8—121no—
1383C2×Q8—121no—
1384C2×Q8—124no—
1385C2×Q8—242no—
1386C2×Q8C23×D311yescharacteristic
1387C2×Q8C23×D311yescharacteristic
1388C2×Q8C23×D311yescharacteristic
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—31no—
1392C2×D4—31no—
1393C2×D4—31no—
1394C2×D4—31no—
1395C2×D4—31no—
1396C2×D4—31no—
1397C2×D4—31no—
1398C2×D4—31no—
1399C2×D4—31no—
1400C2×D4—31no—
1401C2×D4—31no—
1402C2×D4—61no—
1403C2×D4—61no—
1404C2×D4—61no—
1405C2×D4—61no—
1406C2×D4—61no—
1407C2×D4—61no—
1408C2×D4—61no—
1409C2×D4—61no—
1410C2×D4—61no—
1411C2×D4—61no—
1412C2×D4—61no—
1413C2×D4—61no—
1414C2×D4—61no—
1415C2×D4—61no—
1416C2×D4—61no—
1417C2×D4D3×D411yescharacteristic
1418C2×D4C23×D311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—31no—
1424C22×C4—31no—
1425C22×C4—31no—
1426C22×C4—31no—
1427C22×C4—31no—
1428C22×C4—61no—
1429C22×C4—61no—
1430C22×C4—61no—
1431C22×C4—61no—
1432C22×C4—61no—
1433C22×C4—61no—
1434C22×C4—61no—
1435C22×C4—61no—
1436C22×C4—61no—
1437C22×C4—61no—
1438C22×C4—61no—
1439C22×C4—61no—
1440C22×C4—61no—
1441C22×C4—61no—
1442C22×C4—61no—
1443C22×C4—61no—
1444C22×C4—61no—
1445C22×C4C23×D311yescharacteristic
1446C22×C4C23×D311yescharacteristic
1447Q16—22no—
1448Q16—41no—
1449Q16—62no—
1450Q16—121no—
1451SD16—41no—
1452SD16—62no—
1453SD16—62no—
1454SD16—121no—
1455SD16—121no—
1456SD16—121no—
1457D8—121no—
1458D8—121no—
1459M16—41no—
1460M16—62no—
1461M16—62no—
1462M16—121no—
1463M16—121no—
1464M16—121no—
1465C2×C8—31no—
1466C2×C8—31no—
1467C2×C8—31no—
1468C2×C8—31no—
1469C2×C8—41no—
1470C2×C8—62no—
1471C2×C8—62no—
1472C2×C8—121no—
1473C2×C8—121no—
1474C2×C8—121no—
1475C2×C8C23×D311yescharacteristic
1476C2×C8C23×D311yescharacteristic
1477C2×C8C23×D311yescharacteristic
1478C2×C8C23×D311yescharacteristic
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—31no—
1488C4⋊C4—31no—
1489C4⋊C4—31no—
1490C4⋊C4—31no—
1491C4⋊C4—31no—
1492C4⋊C4—31no—
1493C4⋊C4—31no—
1494C4⋊C4—61no—
1495C4⋊C4—61no—
1496C4⋊C4—61no—
1497C4⋊C4—61no—
1498C4⋊C4—61no—
1499C4⋊C4—61no—
1500C4⋊C4—61no—
1501C4⋊C4—61no—
1502C4⋊C4—61no—
1503C4⋊C4—61no—
1504C4⋊C4—61no—
1505C4⋊C4—61no—
1506C4⋊C4—61no—
1507C4⋊C4—61no—
1508C4⋊C4—61no—
1509C4⋊C4—61no—
1510C4⋊C4—61no—
1511C4⋊C4—61no—
1512C4⋊C4—61no—
1513C4⋊C4D3×D411yescharacteristic
1514C4⋊C4C23×D311yescharacteristic
1515C4⋊C4C23×D311yescharacteristic
1516C4⋊C4C23×D311yescharacteristic
1517C4⋊C4C23×D311yescharacteristic
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—31no—
1525C22⋊C4—31no—
1526C22⋊C4—31no—
1527C22⋊C4—31no—
1528C22⋊C4—31no—
1529C22⋊C4—31no—
1530C22⋊C4—61no—
1531C22⋊C4—61no—
1532C22⋊C4—61no—
1533C22⋊C4—61no—
1534C22⋊C4—61no—
1535C22⋊C4—61no—
1536C22⋊C4—61no—
1537C22⋊C4—61no—
1538C22⋊C4—61no—
1539C22⋊C4—61no—
1540C22⋊C4—61no—
1541C22⋊C4—61no—
1542C22⋊C4—61no—
1543C22⋊C4—61no—
1544C22⋊C4—61no—
1545C22⋊C4—61no—
1546C22⋊C4—61no—
1547C22⋊C4—61no—
1548C22⋊C4—61no—
1549C22⋊C4—61no—
1550C22⋊C4—61no—
1551C22⋊C4D3×D411yescharacteristic
1552C22⋊C4D3×D411yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—31no—
1556C42—31no—
1557C42—31no—
1558C42—61no—
1559C42—61no—
1560C42—61no—
1561C42—61no—
1562C42—61no—
1563C42—61no—
1564C42—61no—
1565C42—61no—
1566C42—61no—
1567C42C23×D311yescharacteristic
1568C22×C3—21no—
1569C22×C3—21no—
1570C22×C3—21no—
1571C22×C3—21no—
1572C22×C3—21no—
1573C22×C3—21no—
1574C22×C3—41no—
1575C22×C3—41no—
1576C22×C3—41no—
1577C22×C3C23×D411yescharacteristic
1578C2×D3—21no—
1579C2×D3—21no—
1580C2×D3—21no—
1581C2×D3—21no—
1582C2×D3—21no—
1583C2×D3—21no—
1584C2×D3—21no—
1585C2×D3—21no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3#54612yes—
1593C3×C4—21no—
1594C3×C4—21no—
1595C3×C4—22no—
1596C3×C4—21no—
1597C3×C4—21no—
1598C3×C4—41no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603C3×C4—41no—
1604C3×C4C22×#4111yescharacteristic
1605C3×C4C2×H(5,𝔽2)11yescharacteristic
1606Dic3—21no—
1607Dic3—22no—
1608Dic3—21no—
1609Dic3—21no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615Dic3#54612yes—
1616Dic3#57712yes—
1617C23—21no—
1618C23—31no—
1619C23—31no—
1620C23—31no—
1621C23—61no—
1622C23—61no—
1623C23C2×D3×D411yescharacteristic
1624C23C2×D3×D411yescharacteristic
1625Q8—21no—
1626Q8—21no—
1627Q8—21no—
1628Q8—21no—
1629Q8—21no—
1630Q8—32no—
1631Q8—42no—
1632Q8—64no—
1633Q8—62no—
1634Q8—62no—
1635Q8—61no—
1636Q8—61no—
1637Q8—61no—
1638Q8—81no—
1639Q8—122no—
1640Q8—122no—
1641Q8—122no—
1642Q8—122no—
1643Q8—122no—
1644Q8—241no—
1645Q8D3×#4112yes—
1646D4—21no—
1647D4—21no—
1648D4—41no—
1649D4—42no—
1650D4—62no—
1651D4—62no—
1652D4—62no—
1653D4—62no—
1654D4—62no—
1655D4—62no—
1656D4—62no—
1657D4—62no—
1658D4—61no—
1659D4—61no—
1660D4—61no—
1661D4—61no—
1662D4—81no—
1663D4—121no—
1664D4—122no—
1665D4—122no—
1666D4—122no—
1667D4—122no—
1668D4—122no—
1669D4—122no—
1670D4—122no—
1671D4—241no—
1672D4—241no—
1673D4—241no—
1674D4—241no—
1675D4—241no—
1676D4—241no—
1677D4—241no—
1678D4—241no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—31no—
1691C2×C4—31no—
1692C2×C4—32no—
1693C2×C4—32no—
1694C2×C4—31no—
1695C2×C4—31no—
1696C2×C4—31no—
1697C2×C4—42no—
1698C2×C4—42no—
1699C2×C4—62no—
1700C2×C4—64no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—121no—
1714C2×C4—122no—
1715C2×C4—122no—
1716C2×C4—122no—
1717C2×C4—122no—
1718C2×C4—122no—
1719C2×C4—122no—
1720C2×C4—122no—
1721C2×C4—122no—
1722C2×C4—122no—
1723C2×C4—122no—
1724C2×C4—122no—
1725C2×C4—241no—
1726C2×C4—241no—
1727C2×C4—241no—
1728C2×C4—241no—
1729C2×C4—241no—
1730C2×C4C2×D3×D411yescharacteristic
1731C2×C4C2×D3×D411yescharacteristic
1732C2×C4C2×D3×D411yescharacteristic
1733C2×C4C2×D3×D411yescharacteristic
1734C2×C4C24×D311yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—61no—
1740C8—61no—
1741C8—61no—
1742C8—61no—
1743C2×C3—41no—
1744C2×C3—41no—
1745C2×C3—81no—
1746C2×C3C2×#54611yescharacteristic
1747C2×C3C2×#57711yescharacteristic
1748C2×C3#358611yescharacteristic
1749D3—22no—
1750D3—41no—
1751D3—41no—
1752D3—81no—
1753D3—81no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—32no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—61no—
1765C22—61no—
1766C22—61no—
1767C22—61no—
1768C22—61no—
1769C22—61no—
1770C22—61no—
1771C22—61no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22C22×D3×D411yescharacteristic
1779C4—21no—
1780C4—21no—
1781C4—22no—
1782C4—21no—
1783C4—21no—
1784C4—32no—
1785C4—32no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—61no—
1793C4—61no—
1794C4—62no—
1795C4—61no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C4C2×D3×#4111yescharacteristic
1802C4D3×H(5,𝔽2)11yescharacteristic
1803C3#6120211yescharacteristic, complemented, Sylow
1804C2—41no—
1805C2—41no—
1806C2—62no—
1807C2—81no—
1808C2—121no—
1809C2—121no—
1810C2—241no—
1811C2—241no—
1812C2D3×#54611yescharacteristic
1813C2#8719711yescharacteristic
1814C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3316C2
socleC22×C3C23×D4
hypercenter#3316D3
hypocenterC3#61202
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #86928C2semidirect
2. #86737C2semidirect
3. C3×#3316C2semidirect
4. #83641C2semidirect
5. #83539C2semidirect
6. #81703C2semidirect
7. #81683C2semidirect
8. #81450C2semidirect
9. #81430C2semidirect
10. #81347C2semidirect
11. #81328C2semidirect
12. #81025C2semidirect
13. D3×#475C2semidirect
14. #80927C2semidirect
15. #80906C2semidirect
16. #80691C2semidirect
17. #80660C2semidirect
18. #80620C2semidirect
19. #80597C2semidirect
20. #80249C2semidirect
21. #80232C2semidirect
22. #80200C2semidirect
23. #80186C2semidirect
24. #79843C2semidirect
25. #79829C2semidirect
26. #79516C2semidirect
27. #79484C2semidirect
28. #78908C2semidirect
29. #78883C2semidirect
30. #78805C2semidirect
31. #78790C2semidirect
217. #3316D3semidirect
741. D3×Q8#41semidirect
1803. C3#61202semidirect

Maximal subgroups

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

subgroupindex
#869282
#867372
C3×#33162
#836412
#835392
#817032
#816832
#814502
#814302
#813472
#813282
#810252
D3×#4752
#809272
#809062
#806912
#806602
#806202
#805972
#802492
#802322
#802002
#801862
#798432
#798292
#795162
#794842
#789082
#788832
#788052
#787902
#612023