Finite Group Databasebeta

← #11701622

Subgroups — #11701622

Order 768.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86564C211yesmaximal, characteristic, complemented
2#86536C211yesmaximal, characteristic, complemented
3C3×#3175C211yesmaximal, characteristic, complemented
4#83464C211yesmaximal, characteristic, complemented
5#83454C211yesmaximal, characteristic, complemented
6#81945C211yesmaximal, characteristic, complemented
7#81943C211yesmaximal, characteristic, complemented
8#81828C211yesmaximal, characteristic, complemented
9#81826C211yesmaximal, characteristic, complemented
10#81683C211yesmaximal, characteristic, complemented
11#81681C211yesmaximal, characteristic, complemented
12#81667C211yesmaximal, characteristic, complemented
13#81665C211yesmaximal, characteristic, complemented
14#80847C211yesmaximal, characteristic, complemented
15#80846C211yesmaximal, characteristic, complemented
16#80845C211yesmaximal, characteristic, complemented
17#80842C211yesmaximal, characteristic, complemented
18#80781C211yesmaximal, characteristic, complemented
19#80778C211yesmaximal, characteristic, complemented
20#80738C211yesmaximal, characteristic, complemented
21#80737C211yesmaximal, characteristic, complemented
22#79803C211yesmaximal, characteristic, complemented
23#79798C211yesmaximal, characteristic, complemented
24#79756C211yesmaximal, characteristic, complemented
25#79755C211yesmaximal, characteristic, complemented
26#79738C211yesmaximal, characteristic, complemented
27#79699C211yesmaximal, characteristic, complemented
28#79613C211yesmaximal, characteristic, complemented
29#79569C211yesmaximal, characteristic, complemented
30#78575C211yesmaximal, characteristic, complemented
31#78559C211yesmaximal, characteristic, complemented
32#62619—31nomaximal, Sylow
33C3×#542C2211yescharacteristic
34C3×#542C2211yescharacteristic
35#5733C2211yescharacteristic
36#5729C2211yescharacteristic
37#5728C2211yescharacteristic
38D3×C4⋊Q8C2211yescharacteristic
39#5712—21no—
40#5710—21no—
41#5708—21no—
42#5707—21no—
43#5684—21no—
44#5682C2211yescharacteristic
45#5681—21no—
46#5680C2211yescharacteristic
47#5675—21no—
48#5675C2211yescharacteristic
49#5669—21no—
50#5668C2211yescharacteristic
51#5665—21no—
52#5663—21no—
53#5655—21no—
54#5651—21no—
55#5647—21no—
56#5639C2211yescharacteristic
57#5635—21no—
58#5635C2211yescharacteristic
59#5632C2211yescharacteristic
60#5631C2211yescharacteristic
61#5628—21no—
62#5623—21no—
63#5616C2211yescharacteristic
64#5611C2211yescharacteristic
65#5599C2211yescharacteristic
66#5598C2211yescharacteristic
67#5581C2211yescharacteristic
68#5576C2211yescharacteristic
69#5567C2211yescharacteristic
70Q8×Dic6C2211yescharacteristic
71#5559C2211yescharacteristic
72#5555C2211yescharacteristic
73#5551C2211yescharacteristic
74#5539C2211yescharacteristic
75#5528C2211yescharacteristic
76#5526C2211yescharacteristic
77#5519C2211yescharacteristic
78C3×#500C2211yescharacteristic
79C3×#495C2211yescharacteristic
80C3×#489C2211yescharacteristic
81C3×#489C2211yescharacteristic
82C3×#468C2211yescharacteristic
83C3×#468C2211yescharacteristic
84C3×#467C2211yescharacteristic
85C3×#466C2211yescharacteristic
86C3×#440C2211yescharacteristic
87C3×#440C2211yescharacteristic
88C3×C4×Q16C2211yescharacteristic
89C3×C4×D8C2211yescharacteristic
90C3×#405C2211yescharacteristic
91#5187C2211yescharacteristic
92#5186C2211yescharacteristic
93#5182C2211yescharacteristic
94#5182C2211yescharacteristic
95#5173C2211yescharacteristic
96#5173C2211yescharacteristic
97#5172C2211yescharacteristic
98#5170C2211yescharacteristic
99#5166C2211yescharacteristic
100#5163C2211yescharacteristic
101#5162C2211yescharacteristic
102#5162C2211yescharacteristic
103#5158C2211yescharacteristic
104#5158C2211yescharacteristic
105#5153C2211yescharacteristic
106#5150C2211yescharacteristic
107#5133C2211yescharacteristic
108#5128C2211yescharacteristic
109#5128C2211yescharacteristic
110#5120C2211yescharacteristic
111#5113C2211yescharacteristic
112#5111C2211yescharacteristic
113C8×#67C2211yescharacteristic
114C2×#816C2211yescharacteristic
115#5093C2211yescharacteristic
116#5089C2211yescharacteristic
117#5081C2211yescharacteristic
118#5078C2211yescharacteristic
119#5060C2211yescharacteristic
120#5059C2211yescharacteristic
121#5056C2211yescharacteristic
122#5055C2211yescharacteristic
123#5050C2211yescharacteristic
124#5047C2211yescharacteristic
125#5045C2211yescharacteristic
126#5044C2211yescharacteristic
127#5040C2211yescharacteristic
128#5037C2211yescharacteristic
129#5035C2211yescharacteristic
130#5033C2211yescharacteristic
131#5031C2211yescharacteristic
132#5028C2211yescharacteristic
133#5022C2211yescharacteristic
134#5021C2211yescharacteristic
135#5019C2211yescharacteristic
136#5016C2211yescharacteristic
137#5009C2211yescharacteristic
138#5007C2211yescharacteristic
139#5000C2211yescharacteristic
140#4891C2211yescharacteristic
141#4890C2211yescharacteristic
142#4888C2211yescharacteristic
143#4885C2211yescharacteristic
144#4884C2211yescharacteristic
145#4884C2211yescharacteristic
146#4884C2211yescharacteristic
147#4884C2211yescharacteristic
148#4884C2211yescharacteristic
149#4882C2211yescharacteristic
150#4877C2211yescharacteristic
151#4875C2211yescharacteristic
152#4875C2211yescharacteristic
153#4875C2211yescharacteristic
154#4875C2211yescharacteristic
155#4875C2211yescharacteristic
156#4817C2211yescharacteristic
157#4816C2211yescharacteristic
158#4816C2211yescharacteristic
159#4813C2211yescharacteristic
160#4812C2211yescharacteristic
161#4803C2211yescharacteristic
162#4803C2211yescharacteristic
163#4802C2211yescharacteristic
164D3×#103C2211yescharacteristic
165#4797C2211yescharacteristic
166#4792C2211yescharacteristic
167#4792C2211yescharacteristic
168#4792C2211yescharacteristic
169#4790C2211yescharacteristic
170#4790C2211yescharacteristic
171#4790C2211yescharacteristic
172#4780C2211yescharacteristic
173#4780C2211yescharacteristic
174#4780C2211yescharacteristic
175#4775C2211yescharacteristic
176#4772C2211yescharacteristic
177#4771C2211yescharacteristic
178#4771C2211yescharacteristic
179#4771C2211yescharacteristic
180#4768C2211yescharacteristic
181#4765C2211yescharacteristic
182#4760C2211yescharacteristic
183#4760C2211yescharacteristic
184#4758C2211yescharacteristic
185#4758C2211yescharacteristic
186#4757C2211yescharacteristic
187#4756C2211yescharacteristic
188#4714C2211yescharacteristic
189#4714C2211yescharacteristic
190#4708C2211yescharacteristic
191#4707C2211yescharacteristic
192#4706C2211yescharacteristic
193#4703C2211yescharacteristic
194#4703C2211yescharacteristic
195#4701C2211yescharacteristic
196#4697C2211yescharacteristic
197#4697C2211yescharacteristic
198#4690C2211yescharacteristic
199#4688C2211yescharacteristic
200#4685C2211yescharacteristic
201#4681C2211yescharacteristic
202#4681C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3554—31no—
205#3544—31no—
206#3375—31no—
207#3372—31no—
208#3363—31no—
209#3361—31no—
210#3333—31no—
211#3330—31no—
212#3330—31no—
213#3329—31no—
214#3327—31no—
215#3327—31no—
216#3315—31no—
217#3315—31no—
218#3308—31no—
219#3308—31no—
220#3305—31no—
221#3299—31no—
222#3243—31no—
223#3243—31no—
224#3230—31no—
225#3225—31no—
226#3225—31no—
227#3212—31no—
228#3175—31no—
229#3175D311yescharacteristic, complemented
230#3172—31no—
231#3141—31no—
232#3137—31no—
233#3137—31no—
234#2969—31no—
235C2×#239C2311yescharacteristic
236C2×D3×Q8—21no—
237C2×D3×Q8C2311yescharacteristic
238C2×#237—21no—
239C2×#237C2311yescharacteristic
240C2×#237C2311yescharacteristic
241C2×#235—21no—
242C2×#235C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C2×C3×Q16C2311yescharacteristic
245C2×C3×SD16C2311yescharacteristic
246C2×C3×SD16C2311yescharacteristic
247C2×C3×D8C2311yescharacteristic
248C2×C3×M16C2311yescharacteristic
249C22×C3×C8C2311yescharacteristic
250C3×C4⋊Q8C2311yescharacteristic
251C3×C4⋊Q8C2311yescharacteristic
252C3×#126—21no—
253C3×#126—21no—
254C3×#124—21no—
255C3×#124—21no—
256C3×#124C2311yescharacteristic
257C3×#124C2311yescharacteristic
258C3×#123—21no—
259C3×#123—21no—
260C3×C22⋊Q8—21no—
261C3×C22⋊Q8—21no—
262C3×C22⋊Q8C2311yescharacteristic
263C3×C22⋊Q8C2311yescharacteristic
264C3×#121C2311yescharacteristic
265C3×#121C2311yescharacteristic
266C3×C4×Q8C2311yescharacteristic
267C3×C4×Q8C2311yescharacteristic
268C3×C4×D4C2311yescharacteristic
269C3×C4×D4C2311yescharacteristic
270C3×#117C2311yescharacteristic
271#947—21no—
272#946—21no—
273#946—21no—
274#946—21no—
275#946C2311yescharacteristic
276#946C2311yescharacteristic
277Q8×Dic3—21no—
278Q8×Dic3C2311yescharacteristic
279Q8×Dic3C2311yescharacteristic
280#944—21no—
281#944—21no—
282#944C2311yescharacteristic
283#944C2311yescharacteristic
284C2×#216C2311yescharacteristic
285C2×#216C2311yescharacteristic
286C2×#216C2311yescharacteristic
287C2×#215C2311yescharacteristic
288#940—21no—
289#940C2311yescharacteristic
290#939—21no—
291#939—21no—
292#939—21no—
293#938C2311yescharacteristic
294#938C2311yescharacteristic
295#936—21no—
296#936C2311yescharacteristic
297#935—21no—
298D4×Dic3—21no—
299D4×Dic3C2311yescharacteristic
300D4×Dic3C2311yescharacteristic
301C2×#214C2311yescharacteristic
302C2×#214C2311yescharacteristic
303C2×#214C2311yescharacteristic
304C2×#213C2311yescharacteristic
305#930—21no—
306#929—21no—
307C4×#67—21no—
308C4×#67C2311yescharacteristic
309C4×#67C2311yescharacteristic
310#926C2311yescharacteristic
311C2×C4⋊Dic3—21no—
312C2×C4⋊Dic3C2311yescharacteristic
313#924—21no—
314#924—21no—
315C2×Dic3⋊C4—21no—
316C2×ΓL(1,𝔽25)C2311yescharacteristic
317C2×ΓL(1,𝔽25)C2311yescharacteristic
318C2×ΓL(1,𝔽25)C2311yescharacteristic
319C2×D3×C8C2311yescharacteristic
320#898—21no—
321#898D411yescharacteristic
322#897—21no—
323#897—21no—
324#897—21no—
325#897—21no—
326#897C2311yescharacteristic
327#897C2311yescharacteristic
328#897C2311yescharacteristic
329#896—21no—
330#896—21no—
331#896D411yescharacteristic
332#895—21no—
333#895C2311yescharacteristic
334#894—21no—
335#894—21no—
336#894—21no—
337#894D411yescharacteristic
338#893C2311yescharacteristic
339#892—21no—
340#892—21no—
341#892C2311yescharacteristic
342D3×C4⋊C4—21no—
343D3×C4⋊C4—21no—
344D3×C4⋊C4C2311yescharacteristic
345D3×C4⋊C4C2311yescharacteristic
346D3×C4⋊C4C2311yescharacteristic
347#890—21no—
348#890—21no—
349#890C2311yescharacteristic
350#889—21no—
351#889—21no—
352#889—21no—
353#889—21no—
354#889—21no—
355#889—21no—
356#889D411yescharacteristic
357#888—21no—
358#888—21no—
359#888—21no—
360#888—21no—
361#888—21no—
362#888C2311yescharacteristic
363#888C2311yescharacteristic
364#888C2311yescharacteristic
365#887C2311yescharacteristic
366#887C2311yescharacteristic
367#887C2311yescharacteristic
368#886—21no—
369#886—21no—
370#886—21no—
371#886—21no—
372#886—21no—
373#885—21no—
374#885—21no—
375#885—21no—
376#885—21no—
377#885D411yescharacteristic
378#884—21no—
379#884—21no—
380#884—21no—
381#884—21no—
382#884D411yescharacteristic
383#883—21no—
384#883—21no—
385#883—21no—
386#883—21no—
387#883—21no—
388#883—21no—
389#883—21no—
390#883—21no—
391#883—21no—
392#883D411yescharacteristic
393#67⋊C4—21no—
394#67⋊C4—21no—
395#67⋊C4—21no—
396#67⋊C4—21no—
397#67⋊C4—21no—
398#67⋊C4—21no—
399#879—21no—
400#879—21no—
401#879—21no—
402#879D411yescharacteristic
403#878—21no—
404#878—21no—
405#878—21no—
406#878—21no—
407#878—21no—
408#878—21no—
409#878—21no—
410#878—21no—
411#878—21no—
412#878—21no—
413#878—21no—
414#877—21no—
415#877—21no—
416#876—21no—
417#875—21no—
418#875C2311yescharacteristic
419#875C2311yescharacteristic
420C4×D12—21no—
421C4×D12C2311yescharacteristic
422#872—21no—
423#872C2311yescharacteristic
424C42×D3C2311yescharacteristic
425#870—21no—
426#870C2311yescharacteristic
427#870C2311yescharacteristic
428#869—21no—
429#869C2311yescharacteristic
430#869C2311yescharacteristic
431#869C2311yescharacteristic
432#869C2311yescharacteristic
433C4×Dic6—21no—
434C4×Dic6—21no—
435C4×Dic6C2311yescharacteristic
436C3×#107C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#107C2311yescharacteristic
439C3×#107C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×#97C2311yescharacteristic
449C3×#97C2311yescharacteristic
450C3×C4×C8C2311yescharacteristic
451C3×C4×C8C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#832C2311yescharacteristic
457#832C2311yescharacteristic
458#832C2311yescharacteristic
459#832C2311yescharacteristic
460#830C2311yescharacteristic
461#830C2311yescharacteristic
462#821C2311yescharacteristic
463#821C2311yescharacteristic
464#821C2311yescharacteristic
465#821C2311yescharacteristic
466(C2×D3)⋊C8C2311yescharacteristic
467(C2×D3)⋊C8C2311yescharacteristic
468(C2×D3)⋊C8C2311yescharacteristic
469(C2×D3)⋊C8C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#816C2311yescharacteristic
480#816C2311yescharacteristic
481#816C2311yescharacteristic
482#815C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#809C2311yescharacteristic
497#809C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#807C2311yescharacteristic
501#807C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508#803C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#563—61no—
512#562—61no—
513#562—61no—
514#559—31no—
515#559—61no—
516Q82—31no—
517#557—31no—
518#555—31no—
519#554—31no—
520#554—31no—
521#554—61no—
522#552—31no—
523#552—31no—
524#552—61no—
525#550—31no—
526D4×Q8—31no—
527#548—31no—
528#548—31no—
529#547—31no—
530#547—31no—
531#547—31no—
532#547—31no—
533#547—61no—
534#544—31no—
535#544—31no—
536#544—61no—
537#542—31no—
538#542—31no—
539#542—61no—
540#542—61no—
541#542C2×D311yescharacteristic
542#542C2×D311yescharacteristic
543#540—61no—
544#539—61no—
545#539—61no—
546#536—31no—
547#536—31no—
548#536—61no—
549#536—61no—
550#533—31no—
551#532—31no—
552C2×C4⋊Q8—31no—
553#529—31no—
554#529—31no—
555#501—31no—
556#500—31no—
557#500C2×D311yescharacteristic
558#497—31no—
559#495—31no—
560#495C2×D311yescharacteristic
561#491—31no—
562#491—31no—
563#491—31no—
564#489—31no—
565#489—31no—
566#489—31no—
567#489—31no—
568#489—31no—
569#489C2×D311yescharacteristic
570#489C2×D311yescharacteristic
571#488—31no—
572#488—31no—
573#488—31no—
574#488—31no—
575#487—31no—
576#487—31no—
577#487—31no—
578#487—31no—
579#487—31no—
580#487—31no—
581#486—31no—
582#486—31no—
583#485—31no—
584#485—31no—
585#484—31no—
586#484—31no—
587#484—31no—
588#484—31no—
589#484—31no—
590#484—31no—
591#482—31no—
592#482—31no—
593#480—31no—
594#480—31no—
595#479—31no—
596#479—31no—
597#478—31no—
598#478—31no—
599#477—31no—
600#477—31no—
601#477—31no—
602#477—31no—
603#477—31no—
604#477—31no—
605#474—31no—
606#474—31no—
607#470—31no—
608#470—31no—
609#468—31no—
610#468—31no—
611#468—31no—
612#468—31no—
613#468C2×D311yescharacteristic
614#468C2×D311yescharacteristic
615#467—31no—
616#467C2×D311yescharacteristic
617#466—31no—
618#466C2×D311yescharacteristic
619#464—31no—
620#464—31no—
621#463—31no—
622#463—31no—
623#462—31no—
624#462—31no—
625#462—31no—
626#461—31no—
627#461—31no—
628#461—31no—
629#460—31no—
630#459—31no—
631#452—31no—
632#452—31no—
633#452—31no—
634#452—31no—
635#451—31no—
636#451—31no—
637#449—31no—
638#449—31no—
639#449—31no—
640#449—31no—
641#448—31no—
642#448—31no—
643#446—31no—
644C8×Q8—31no—
645#440—31no—
646#440—31no—
647#440C2×D311yescharacteristic
648#440C2×D311yescharacteristic
649C4×Q16—31no—
650C4×Q16—31no—
651C4×Q16—31no—
652C4×Q16C2×D311yescharacteristic
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8C2×D311yescharacteristic
657#436—31no—
658#436—31no—
659#436—31no—
660#435—31no—
661#435—31no—
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#431—31no—
666#419—31no—
667#419—31no—
668#417—31no—
669#417—31no—
670#417—31no—
671#417—31no—
672#417—31no—
673#417—31no—
674#416—31no—
675#416—31no—
676C2×#103—31no—
677C2×#103—31no—
678#405—31no—
679#405C2×D311yescharacteristic
680C4×M16—31no—
681C2×C3×Q8—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8C2411yescharacteristic
684C2×C3×Q8C2411yescharacteristic
685C2×C3×D4—21no—
686C2×C3×D4—21no—
687C2×C3×D4C2411yescharacteristic
688C2×C3×D4C2411yescharacteristic
689C22×C3×C4—21no—
690C22×C3×C4—21no—
691C22×C3×C4C2411yescharacteristic
692C2×#67—21no—
693C2×#67—21no—
694C2×#67—21no—
695C2×#67—21no—
696C2×#67—21no—
697C2×#67—21no—
698C2×#67—21no—
699C2×#67C2×D411yescharacteristic
700C2×#67C2×D411yescharacteristic
701C22×Dic3—21no—
702C22×Dic3—21no—
703C22×Dic3—21no—
704C22×Dic3—21no—
705C22×Dic3—21no—
706C22×Dic3—21no—
707#239—41no—
708#239—41no—
709D3×Q8—41no—
710D3×Q8—41no—
711D3×Q8—82no—
712#237—41no—
713#237—41no—
714#237—41no—
715#237—41no—
716#237—82no—
717#235—41no—
718#235—41no—
719#235—82no—
720C2×D12—21no—
721C2×D12—21no—
722C2×D12C2×D411yescharacteristic
723C2×D12C2411yescharacteristic
724C2×C4×D3—21no—
725C2×C4×D3—21no—
726C2×C4×D3—21no—
727C2×C4×D3—21no—
728C2×C4×D3—21no—
729C2×C4×D3—21no—
730C2×C4×D3—21no—
731C2×C4×D3C2×D411yescharacteristic
732C2×C4×D3C2×D411yescharacteristic
733C2×C4×D3C2411yescharacteristic
734C2×C4×D3C2411yescharacteristic
735C2×Dic6—21no—
736C2×Dic6—21no—
737C2×Dic6—21no—
738C2×Dic6—21no—
739C2×Dic6—21no—
740C2×Dic6—21no—
741C2×Dic6—21no—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C2×Dic6C2×D411yescharacteristic
745C2×Dic6C2411yescharacteristic
746C2×Dic6C2411yescharacteristic
747C2×Dic6C2411yescharacteristic
748C3×Q16—41no—
749C3×SD16—41no—
750C3×SD16—41no—
751C3×D8—41no—
752C3×M16—41no—
753C2×C3×C8—41no—
754C2×C3×C8C2411yescharacteristic
755C2×C3×C8C2411yescharacteristic
756C2×C3×C8C2411yescharacteristic
757C2×C3×C8C2411yescharacteristic
758C3×C4⋊C4—21no—
759C3×C4⋊C4—21no—
760C3×C4⋊C4—21no—
761C3×C4⋊C4—21no—
762C3×C4⋊C4—21no—
763C3×C4⋊C4—21no—
764C3×C4⋊C4C2×D411yescharacteristic
765C3×C4⋊C4C2×D411yescharacteristic
766C3×C4⋊C4C2411yescharacteristic
767C3×C4⋊C4C2411yescharacteristic
768C3×C4⋊C4C2411yescharacteristic
769C3×C4⋊C4C2411yescharacteristic
770C3×C22⋊C4—21no—
771C3×C22⋊C4—21no—
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4—21no—
775C3×C22⋊C4—21no—
776C3×C22⋊C4—21no—
777C3×C22⋊C4—21no—
778C3×C22⋊C4—21no—
779C3×C22⋊C4—21no—
780C3×C22⋊C4C2×D411yescharacteristic
781C3×C22⋊C4C2×D411yescharacteristic
782C3×C42—21no—
783C3×C42—21no—
784C3×C42C2411yescharacteristic
785C3×C42C2411yescharacteristic
786#217—21no—
787#217—21no—
788#217—21no—
789#217—21no—
790#217—21no—
791#217—21no—
792#217—21no—
793#217C2×D411yescharacteristic
794#217C2×D411yescharacteristic
795#216—41no—
796#216—41no—
797#216—41no—
798#215—41no—
799#214—41no—
800#214—41no—
801#214—41no—
802#213—41no—
803(C2×D3)⋊C4—21no—
804(C2×D3)⋊C4—21no—
805(C2×D3)⋊C4—21no—
806(C2×D3)⋊C4—21no—
807(C2×D3)⋊C4—21no—
808(C2×D3)⋊C4—21no—
809(C2×D3)⋊C4—21no—
810(C2×D3)⋊C4—21no—
811(C2×D3)⋊C4—21no—
812(C2×D3)⋊C4—21no—
813(C2×D3)⋊C4—21no—
814(C2×D3)⋊C4—21no—
815(C2×D3)⋊C4C2×D411yescharacteristic
816(C2×D3)⋊C4C2×D411yescharacteristic
817(C2×D3)⋊C4C2×D411yescharacteristic
818(C2×D3)⋊C4C2×D411yescharacteristic
819(C2×D3)⋊C4C2×D411yescharacteristic
820(C2×D3)⋊C4C2×D411yescharacteristic
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3—21no—
825C4⋊Dic3—21no—
826C4⋊Dic3—21no—
827C4⋊Dic3—21no—
828C4⋊Dic3—21no—
829C4⋊Dic3—21no—
830C4⋊Dic3—21no—
831C4⋊Dic3—21no—
832C4⋊Dic3—21no—
833C4⋊Dic3—21no—
834C4⋊Dic3C2×D411yescharacteristic
835C4⋊Dic3C2×D411yescharacteristic
836C4⋊Dic3C2411yescharacteristic
837C4⋊Dic3C2411yescharacteristic
838C4⋊Dic3C2411yescharacteristic
839C4⋊Dic3C2411yescharacteristic
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊C4—21no—
848Dic3⋊C4—21no—
849Dic3⋊C4—21no—
850Dic3⋊C4—21no—
851Dic3⋊C4—21no—
852Dic3⋊C4—21no—
853Dic3⋊C4—21no—
854Dic3⋊C4—21no—
855Dic3⋊C4—21no—
856Dic3⋊C4—21no—
857Dic3⋊C4—21no—
858Dic3⋊C4—21no—
859Dic3⋊C4—21no—
860Dic3⋊C4C2×D411yescharacteristic
861Dic3⋊C4C2×D411yescharacteristic
862Dic3⋊C4C2×D411yescharacteristic
863Dic3⋊C4C2×D411yescharacteristic
864Dic3⋊C4C2×D411yescharacteristic
865Dic3⋊C4C2×D411yescharacteristic
866C4×Dic3—21no—
867C4×Dic3—21no—
868C4×Dic3—21no—
869C4×Dic3—21no—
870C4×Dic3—21no—
871C4×Dic3—21no—
872C4×Dic3—21no—
873C4×Dic3C2×D411yescharacteristic
874C4×Dic3C2×D411yescharacteristic
875C4×Dic3C2411yescharacteristic
876C4×Dic3C2411yescharacteristic
877C2×C3⋊C8C2411yescharacteristic
878C2×C3⋊C8C2411yescharacteristic
879C2×C3⋊C8C2411yescharacteristic
880C2×C3⋊C8C2411yescharacteristic
881ΓL(1,𝔽25)—41no—
882ΓL(1,𝔽25)—41no—
883ΓL(1,𝔽25)—41no—
884D3×C8—41no—
885C2×#41—31no—
886C2×#41—31no—
887C2×#41—31no—
888C2×#41—31no—
889C2×#41—61no—
890C2×#41—61no—
891C22×Q8—31no—
892C22×Q8—31no—
893C22×Q8—61no—
894C2×Q16—31no—
895C2×Q16—31no—
896C2×Q16—31no—
897C2×Q16C22×D311yescharacteristic
898C2×SD16—31no—
899C2×SD16—31no—
900C2×SD16—31no—
901C2×SD16—31no—
902C2×SD16C22×D311yescharacteristic
903C2×SD16C22×D311yescharacteristic
904C2×D8—31no—
905C2×D8C22×D311yescharacteristic
906C2×M16—31no—
907C2×M16—31no—
908C2×M16—31no—
909C2×M16C22×D311yescharacteristic
910C22×C8—31no—
911C22×C8C22×D311yescharacteristic
912C4⋊Q8—31no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—31no—
918C4⋊Q8—31no—
919C4⋊Q8—31no—
920C4⋊Q8—31no—
921C4⋊Q8—61no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8—61no—
928C4⋊Q8—61no—
929C4⋊Q8C22×D311yescharacteristic
930C4⋊Q8C22×D311yescharacteristic
931#127—31no—
932#127—61no—
933#126—21no—
934#126—21no—
935#126—31no—
936#126—31no—
937#126—61no—
938#126—61no—
939#126—61no—
940#126—61no—
941#126—61no—
942#125—31no—
943#125—31no—
944#125—31no—
945#125—31no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125—61no—
954#125—61no—
955#124—21no—
956#124—21no—
957#124—31no—
958#124—31no—
959#124—31no—
960#124—31no—
961#124—61no—
962#124—61no—
963#124—61no—
964#124—61no—
965#124—61no—
966#124—61no—
967#124—61no—
968#124C22×D311yescharacteristic
969#124C22×D311yescharacteristic
970#123—21no—
971#123—21no—
972#123—31no—
973#123—31no—
974#123—61no—
975#123—61no—
976#123—61no—
977#123—61no—
978#123—61no—
979#123—61no—
980#123—61no—
981#123—61no—
982#123—61no—
983#123—61no—
984#123—61no—
985#123—61no—
986#123—61no—
987#123—61no—
988#123—61no—
989#123—61no—
990#123—61no—
991#123—61no—
992#123—61no—
993C22⋊Q8—21no—
994C22⋊Q8—21no—
995C22⋊Q8—31no—
996C22⋊Q8—31no—
997C22⋊Q8—31no—
998C22⋊Q8—31no—
999C22⋊Q8—31no—
1000C22⋊Q8—31no—
1001C22⋊Q8—61no—
1002C22⋊Q8—61no—
1003C22⋊Q8—61no—
1004C22⋊Q8—61no—
1005C22⋊Q8—61no—
1006C22⋊Q8—61no—
1007C22⋊Q8—61no—
1008C22⋊Q8—61no—
1009C22⋊Q8—61no—
1010C22⋊Q8—61no—
1011C22⋊Q8—61no—
1012C22⋊Q8—61no—
1013C22⋊Q8—61no—
1014C22⋊Q8—61no—
1015C22⋊Q8—61no—
1016C22⋊Q8—61no—
1017C22⋊Q8—61no—
1018C22⋊Q8—61no—
1019C22⋊Q8—61no—
1020C22⋊Q8—61no—
1021C22⋊Q8—61no—
1022C22⋊Q8—61no—
1023C22⋊Q8C22×D311yescharacteristic
1024C22⋊Q8C22×D311yescharacteristic
1025#121—31no—
1026#121—31no—
1027#121—31no—
1028#121—31no—
1029#121—61no—
1030#121—61no—
1031#121—61no—
1032#121—61no—
1033#121—61no—
1034#121—61no—
1035#121—61no—
1036#121—61no—
1037#121—61no—
1038#121C22×D311yescharacteristic
1039#121C22×D311yescharacteristic
1040C4×Q8—31no—
1041C4×Q8—31no—
1042C4×Q8—31no—
1043C4×Q8—31no—
1044C4×Q8—31no—
1045C4×Q8—31no—
1046C4×Q8—61no—
1047C4×Q8—61no—
1048C4×Q8—61no—
1049C4×Q8C22×D311yescharacteristic
1050C4×Q8C22×D311yescharacteristic
1051C4×D4—31no—
1052C4×D4—31no—
1053C4×D4—31no—
1054C4×D4—31no—
1055C4×D4—31no—
1056C4×D4—31no—
1057C4×D4—61no—
1058C4×D4—61no—
1059C4×D4—61no—
1060C4×D4—61no—
1061C4×D4—61no—
1062C4×D4—61no—
1063C4×D4—61no—
1064C4×D4—61no—
1065C4×D4—61no—
1066C4×D4C22×D311yescharacteristic
1067C4×D4C22×D311yescharacteristic
1068#117—31no—
1069#117—31no—
1070#117—31no—
1071#117—61no—
1072#117—61no—
1073#117—61no—
1074#117—61no—
1075#117—61no—
1076#117C22×D311yescharacteristic
1077C2×C4⋊C4—31no—
1078C2×C4⋊C4—31no—
1079C2×C4⋊C4—31no—
1080C2×C4⋊C4—31no—
1081C2×C4⋊C4—61no—
1082C2×C4⋊C4—61no—
1083C2×C4⋊C4—61no—
1084C2×C4⋊C4—61no—
1085C2×C42—31no—
1086#107—31no—
1087#107—31no—
1088#107—31no—
1089#107—31no—
1090#107—31no—
1091#107—31no—
1092#107C22×D311yescharacteristic
1093#107C22×D311yescharacteristic
1094#107C22×D311yescharacteristic
1095#107C22×D311yescharacteristic
1096#106—31no—
1097#106—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104#103—31no—
1105#103—31no—
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103—31no—
1123#103—31no—
1124#103—31no—
1125#103—31no—
1126#103C22×D311yescharacteristic
1127#103C22×D311yescharacteristic
1128#103C22×D311yescharacteristic
1129#103C22×D311yescharacteristic
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102—31no—
1138#102—31no—
1139#102—31no—
1140#102C22×D311yescharacteristic
1141#102C22×D311yescharacteristic
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144C22⋊C8—31no—
1145C22⋊C8—31no—
1146C22⋊C8—31no—
1147C22⋊C8—31no—
1148C22⋊C8—31no—
1149C22⋊C8—31no—
1150#97—31no—
1151#97—31no—
1152#97C22×D311yescharacteristic
1153#97C22×D311yescharacteristic
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8—31no—
1157C4×C8—31no—
1158C4×C8C22×D311yescharacteristic
1159C4×C8C22×D311yescharacteristic
1160C23×C3—21no—
1161C23×C3—21no—
1162C23×C3C22×D411yescharacteristic
1163C22×D3—21no—
1164C22×D3C22×D411yescharacteristic
1165C22×D3C22×D411yescharacteristic
1166C3×Q8—21no—
1167C3×Q8—21no—
1168C3×Q8—21no—
1169C3×Q8—21no—
1170C3×Q8—81no—
1171C3×Q8—81no—
1172C3×D4—21no—
1173C3×D4—21no—
1174C3×D4—21no—
1175C3×D4—21no—
1176C3×D4—81no—
1177C3×D4—81no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—81no—
1187C2×C3×C4—81no—
1188C2×C3×C4C22×D411yescharacteristic
1189C2×C3×C4C22×D411yescharacteristic
1190C2×C3×C4C22×D411yescharacteristic
1191C2×C3×C4C22×D411yescharacteristic
1192C2×C3×C4C22×D411yescharacteristic
1193C2×C3×C4C2511yescharacteristic
1194#67—22no—
1195#67—41no—
1196#67—42no—
1197#67—42no—
1198#67—81no—
1199#67—81no—
1200#67—81no—
1201#67—81no—
1202#67—81no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—42no—
1211C2×Dic3—81no—
1212C2×Dic3—81no—
1213C2×Dic3—81no—
1214C2×Dic3—81no—
1215C2×Dic3—81no—
1216C2×Dic3C22×D411yescharacteristic
1217C2×Dic3C22×D411yescharacteristic
1218C2×Dic3C22×D411yescharacteristic
1219C2×Dic3C22×D411yescharacteristic
1220C2×Dic3C22×D411yescharacteristic
1221C2×Dic3C22×D411yescharacteristic
1222D12—21no—
1223D12—21no—
1224D12—41no—
1225D12—81no—
1226D12—81no—
1227C4×D3—21no—
1228C4×D3—21no—
1229C4×D3—21no—
1230C4×D3—21no—
1231C4×D3—22no—
1232C4×D3—41no—
1233C4×D3—42no—
1234C4×D3—42no—
1235C4×D3—81no—
1236C4×D3—81no—
1237C4×D3—81no—
1238C4×D3—81no—
1239C4×D3—81no—
1240Dic6—22no—
1241Dic6—21no—
1242Dic6—21no—
1243Dic6—21no—
1244Dic6—21no—
1245Dic6—21no—
1246Dic6—21no—
1247Dic6—81no—
1248Dic6—81no—
1249Dic6—81no—
1250Dic6—81no—
1251Dic6—81no—
1252Dic6—81no—
1253Dic6—81no—
1254C3×C8—21no—
1255C3×C8—21no—
1256C3×C8—21no—
1257C3×C8—21no—
1258C3⋊C8—21no—
1259C3⋊C8—21no—
1260C3⋊C8—21no—
1261C3⋊C8—21no—
1262#41—121no—
1263#41—121no—
1264#41—121no—
1265#41—121no—
1266#41—121no—
1267#41—121no—
1268#41—121no—
1269#41—121no—
1270#41—242no—
1271#41—242no—
1272C2×Q8—21no—
1273C2×Q8—21no—
1274C2×Q8—31no—
1275C2×Q8—31no—
1276C2×Q8—31no—
1277C2×Q8—31no—
1278C2×Q8—61no—
1279C2×Q8—61no—
1280C2×Q8—61no—
1281C2×Q8—61no—
1282C2×Q8—61no—
1283C2×Q8—61no—
1284C2×Q8—61no—
1285C2×Q8—121no—
1286C2×Q8—121no—
1287C2×Q8—121no—
1288C2×Q8—121no—
1289C2×Q8—242no—
1290C2×Q8C23×D311yescharacteristic
1291C2×Q8C23×D311yescharacteristic
1292C2×D4—21no—
1293C2×D4—21no—
1294C2×D4—31no—
1295C2×D4—31no—
1296C2×D4—31no—
1297C2×D4—31no—
1298C2×D4—61no—
1299C2×D4—61no—
1300C2×D4—61no—
1301C2×D4—61no—
1302C2×D4—61no—
1303C2×D4—61no—
1304C2×D4—61no—
1305C2×D4—61no—
1306C2×D4—61no—
1307C2×D4C23×D311yescharacteristic
1308C2×D4C23×D311yescharacteristic
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—61no—
1316C22×C4—61no—
1317C22×C4—61no—
1318C22×C4—61no—
1319C22×C4—61no—
1320C22×C4—61no—
1321C22×C4—61no—
1322C22×C4—61no—
1323C22×C4—61no—
1324C22×C4—61no—
1325C22×C4—61no—
1326C22×C4—61no—
1327C22×C4—61no—
1328C22×C4C23×D311yescharacteristic
1329Q16—41no—
1330Q16—121no—
1331Q16—121no—
1332Q16—121no—
1333SD16—41no—
1334SD16—41no—
1335SD16—121no—
1336SD16—121no—
1337SD16—121no—
1338SD16—121no—
1339D8—41no—
1340D8—121no—
1341M16—41no—
1342M16—121no—
1343M16—121no—
1344M16—121no—
1345C2×C8—31no—
1346C2×C8—31no—
1347C2×C8—31no—
1348C2×C8—31no—
1349C2×C8—41no—
1350C2×C8—121no—
1351C2×C8C23×D311yescharacteristic
1352C2×C8C23×D311yescharacteristic
1353C2×C8C23×D311yescharacteristic
1354C2×C8C23×D311yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—31no—
1362C4⋊C4—31no—
1363C4⋊C4—31no—
1364C4⋊C4—31no—
1365C4⋊C4—31no—
1366C4⋊C4—31no—
1367C4⋊C4—31no—
1368C4⋊C4—31no—
1369C4⋊C4—31no—
1370C4⋊C4—31no—
1371C4⋊C4—31no—
1372C4⋊C4—31no—
1373C4⋊C4—61no—
1374C4⋊C4—61no—
1375C4⋊C4—61no—
1376C4⋊C4—61no—
1377C4⋊C4—61no—
1378C4⋊C4—61no—
1379C4⋊C4—61no—
1380C4⋊C4—61no—
1381C4⋊C4—61no—
1382C4⋊C4—61no—
1383C4⋊C4—61no—
1384C4⋊C4—61no—
1385C4⋊C4—61no—
1386C4⋊C4—61no—
1387C4⋊C4—61no—
1388C4⋊C4—61no—
1389C4⋊C4—61no—
1390C4⋊C4—61no—
1391C4⋊C4—61no—
1392C4⋊C4—61no—
1393C4⋊C4—61no—
1394C4⋊C4—61no—
1395C4⋊C4—61no—
1396C4⋊C4—61no—
1397C4⋊C4—61no—
1398C4⋊C4—61no—
1399C4⋊C4—61no—
1400C4⋊C4—61no—
1401C4⋊C4—61no—
1402C4⋊C4—61no—
1403C4⋊C4—61no—
1404C4⋊C4—61no—
1405C4⋊C4—61no—
1406C4⋊C4D3×D411yescharacteristic
1407C4⋊C4D3×D411yescharacteristic
1408C4⋊C4C23×D311yescharacteristic
1409C4⋊C4C23×D311yescharacteristic
1410C4⋊C4C23×D311yescharacteristic
1411C4⋊C4C23×D311yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—31no—
1423C22⋊C4—31no—
1424C22⋊C4—31no—
1425C22⋊C4—31no—
1426C22⋊C4—31no—
1427C22⋊C4—31no—
1428C22⋊C4—31no—
1429C22⋊C4—31no—
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⋊C4—61no—
1446C22⋊C4—61no—
1447C22⋊C4—61no—
1448C22⋊C4—61no—
1449C22⋊C4D3×D411yescharacteristic
1450C22⋊C4D3×D411yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—31no—
1454C42—31no—
1455C42—31no—
1456C42—31no—
1457C42—61no—
1458C42—61no—
1459C42—61no—
1460C42—61no—
1461C42—61no—
1462C42—61no—
1463C42—61no—
1464C42C23×D311yescharacteristic
1465C42C23×D311yescharacteristic
1466C22×C3—21no—
1467C22×C3—21no—
1468C22×C3—21no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3C23×D411yescharacteristic
1476C2×D3—21no—
1477C2×D3—21no—
1478C2×D3—21no—
1479C2×D3—21no—
1480C2×D3—21no—
1481C2×D3—21no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C3×C4—21no—
1486C3×C4—21no—
1487C3×C4—21no—
1488C3×C4—21no—
1489C3×C4—21no—
1490C3×C4—41no—
1491C3×C4—41no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4#58511yescharacteristic
1497C3×C4#58511yescharacteristic
1498Dic3—21no—
1499Dic3—21no—
1500Dic3—21no—
1501Dic3—21no—
1502Dic3—21no—
1503Dic3—41no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3#57812yes—
1511C23—21no—
1512C23—21no—
1513C23—31no—
1514C23—31no—
1515C23—61no—
1516C23C2×D3×D411yescharacteristic
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—62no—
1522Q8—61no—
1523Q8—61no—
1524Q8—61no—
1525Q8—61no—
1526Q8—61no—
1527Q8—61no—
1528Q8—81no—
1529Q8—81no—
1530Q8—241no—
1531Q8—241no—
1532Q8—241no—
1533Q8—241no—
1534Q8—241no—
1535Q8—241no—
1536Q8—241no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—62no—
1542D4—61no—
1543D4—61no—
1544D4—81no—
1545D4—81no—
1546D4—121no—
1547D4—122no—
1548D4—121no—
1549D4—122no—
1550D4—241no—
1551D4—241no—
1552D4—241no—
1553D4—241no—
1554D4—241no—
1555D4—241no—
1556D4—241no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—31no—
1571C2×C4—62no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—121no—
1586C2×C4—122no—
1587C2×C4—122no—
1588C2×C4—122no—
1589C2×C4—241no—
1590C2×C4—241no—
1591C2×C4—241no—
1592C2×C4—241no—
1593C2×C4—241no—
1594C2×C4—241no—
1595C2×C4—241no—
1596C2×C4—241no—
1597C2×C4—241no—
1598C2×C4—241no—
1599C2×C4C2×D3×D411yescharacteristic
1600C2×C4C2×D3×D411yescharacteristic
1601C2×C4C2×D3×D411yescharacteristic
1602C2×C4C2×D3×D411yescharacteristic
1603C2×C4C2×D3×D411yescharacteristic
1604C2×C4C24×D311yescharacteristic
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—61no—
1610C8—61no—
1611C8—61no—
1612C8—61no—
1613C2×C3—41no—
1614C2×C3—81no—
1615C2×C3—81no—
1616C2×C3#350011yescharacteristic
1617C2×C3C2×#57811yescharacteristic
1618C2×C3#358511yescharacteristic
1619D3—41no—
1620D3—41no—
1621D3—81no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—61no—
1632C22—61no—
1633C22—61no—
1634C22—61no—
1635C22—61no—
1636C22—61no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22C22×D3×D411yescharacteristic
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—32no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—61no—
1654C4—61no—
1655C4—61no—
1656C4—61no—
1657C4—61no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4#596411yescharacteristic
1666C4#596411yescharacteristic
1667C3#6261911yescharacteristic, complemented, Sylow
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—121no—
1672C2—121no—
1673C2—241no—
1674C2#8624411yescharacteristic
1675C2#8720411yescharacteristic
1676C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3175C2
socleC22×C3C23×D4
hypercenter#3175D3
hypocenterC3#62619
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3175

Complements

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

NH ≅ G/Ntype
1. #86564C2semidirect
2. #86536C2semidirect
3. C3×#3175C2semidirect
4. #83464C2semidirect
5. #83454C2semidirect
6. #81945C2semidirect
7. #81943C2semidirect
8. #81828C2semidirect
9. #81826C2semidirect
10. #81683C2semidirect
11. #81681C2semidirect
12. #81667C2semidirect
13. #81665C2semidirect
14. #80847C2semidirect
15. #80846C2semidirect
16. #80845C2semidirect
17. #80842C2semidirect
18. #80781C2semidirect
19. #80778C2semidirect
20. #80738C2semidirect
21. #80737C2semidirect
22. #79803C2semidirect
23. #79798C2semidirect
24. #79756C2semidirect
25. #79755C2semidirect
26. #79738C2semidirect
27. #79699C2semidirect
28. #79613C2semidirect
29. #79569C2semidirect
30. #78575C2semidirect
31. #78559C2semidirect
229. #3175D3semidirect
1667. C3#62619semidirect

Maximal subgroups

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

subgroupindex
#865642
#865362
C3×#31752
#834642
#834542
#819452
#819432
#818282
#818262
#816832
#816812
#816672
#816652
#808472
#808462
#808452
#808422
#807812
#807782
#807382
#807372
#798032
#797982
#797562
#797552
#797382
#796992
#796132
#795692
#785752
#785592
#626193