Finite Group Databasebeta

← #11692241

Subgroups — #11692241

Order 768.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86943C211yesmaximal, characteristic, complemented
2#86688C211yesmaximal, characteristic
3C3×#3335C211yesmaximal, characteristic, complemented
4#83641C211yesmaximal, characteristic, complemented
5#83518C211yesmaximal, characteristic, complemented
6#81906C211yesmaximal, characteristic, complemented
7#81898C211yesmaximal, characteristic, complemented
8#81438C211yesmaximal, characteristic, complemented
9#81424C211yesmaximal, characteristic, complemented
10#81416C211yesmaximal, characteristic, complemented
11#81414C211yesmaximal, characteristic, complemented
12#81346C211yesmaximal, characteristic, complemented
13#81332C211yesmaximal, characteristic, complemented
14#81319C211yesmaximal, characteristic, complemented
15#81317C211yesmaximal, characteristic, complemented
16#81063C211yesmaximal, characteristic, complemented
17#81051C211yesmaximal, characteristic, complemented
18#81007C211yesmaximal, characteristic, complemented
19#81003C211yesmaximal, characteristic, complemented
20#80693C211yesmaximal, characteristic, complemented
21#80690C211yesmaximal, characteristic, complemented
22#80645C211yesmaximal, characteristic, complemented
23#80640C211yesmaximal, characteristic, complemented
24#79657C211yesmaximal, characteristic, complemented
25#79627C211yesmaximal, characteristic, complemented
26#79449C211yesmaximal, characteristic, complemented
27#79407C211yesmaximal, characteristic, complemented
28C2×#4857C211yesmaximal, characteristic, complemented
29#79130C211yesmaximal, characteristic, complemented
30#79126C211yesmaximal, characteristic, complemented
31#79124C211yesmaximal, characteristic, complemented
32#62169—31nomaximal, Sylow
33C3×#554C2211yescharacteristic
34C3×#547C2211yescharacteristic
35#5832—21no—
36#5824—21no—
37#5733C2211yescharacteristic
38#5729C2211yescharacteristic
39#5722C2211yescharacteristic
40#5721C2211yescharacteristic
41#5696—21no—
42C3⋊#564—21no—
43#5664—21no—
44#5662—21no—
45#5655—21no—
46#5649—21no—
47#5646—21no—
48#5642—21no—
49#5642C2211yescharacteristic
50#5640—21no—
51#5639C2211yescharacteristic
52#5636—21no—
53#5625—21no—
54#5625C2211yescharacteristic
55#5623—21no—
56#5622C2211yescharacteristic
57#5603C2211yescharacteristic
58#5599C2211yescharacteristic
59#5598C2211yescharacteristic
60#5596C2211yescharacteristic
61#5583C2211yescharacteristic
62#5569C2211yescharacteristic
63#5564—21no—
64#5559C2211yescharacteristic
65#5552C2211yescharacteristic
66#5546C2211yescharacteristic
67#5541—21no—
68#5541C2211yescharacteristic
69#5538C2211yescharacteristic
70#5513C2211yescharacteristic
71#5511C2211yescharacteristic
72#5511C2211yescharacteristic
73#5507C2211yescharacteristic
74#5504C2211yescharacteristic
75#5500C2211yescharacteristic
76C2×#890C2211yescharacteristic
77C2×#887C2211yescharacteristic
78C3×#498C2211yescharacteristic
79C3×#483C2211yescharacteristic
80C3×#483C2211yescharacteristic
81C3×#481C2211yescharacteristic
82C3×#481C2211yescharacteristic
83C3×#476C2211yescharacteristic
84C3×#475C2211yescharacteristic
85C3×#465C2211yescharacteristic
86C3×#465C2211yescharacteristic
87C3×C4×SD16C2211yescharacteristic
88C3×C8×D4C2211yescharacteristic
89C2×C3×#106C2211yescharacteristic
90C2×C3×#106C2211yescharacteristic
91#5173C2211yescharacteristic
92#5166C2211yescharacteristic
93#5163C2211yescharacteristic
94#5162C2211yescharacteristic
95#5116C2211yescharacteristic
96#5114C2211yescharacteristic
97#5113C2211yescharacteristic
98#5111C2211yescharacteristic
99C8×#67C2211yescharacteristic
100C2×#816C2211yescharacteristic
101#5102C2211yescharacteristic
102C2×Dic3⋊C8C2211yescharacteristic
103#5094C2211yescharacteristic
104#5091C2211yescharacteristic
105#5089C2211yescharacteristic
106#5081C2211yescharacteristic
107#5052C2211yescharacteristic
108#5050C2211yescharacteristic
109#5048C2211yescharacteristic
110#5047C2211yescharacteristic
111#5042C2211yescharacteristic
112#5041C2211yescharacteristic
113#5035C2211yescharacteristic
114#5033C2211yescharacteristic
115#5030C2211yescharacteristic
116#5028C2211yescharacteristic
117#5018C2211yescharacteristic
118#5011C2211yescharacteristic
119#5009C2211yescharacteristic
120#4971C2211yescharacteristic
121#4971C2211yescharacteristic
122#4970C2211yescharacteristic
123C2×#810C2211yescharacteristic
124#4968C2211yescharacteristic
125#4966C2211yescharacteristic
126#4964C2211yescharacteristic
127C2×#807C2211yescharacteristic
128#4871C2211yescharacteristic
129#4871C2211yescharacteristic
130#4871C2211yescharacteristic
131#4870C2211yescharacteristic
132#4870C2211yescharacteristic
133#4868C2211yescharacteristic
134#4867C2211yescharacteristic
135#4866C2211yescharacteristic
136#4864C2211yescharacteristic
137#4863C2211yescharacteristic
138#4862C2211yescharacteristic
139#4862C2211yescharacteristic
140#4861C2211yescharacteristic
141D3×#106C2211yescharacteristic
142#4857C2211yescharacteristic
143#4857C2211yescharacteristic
144#4857C2211yescharacteristic
145#4857C2211yescharacteristic
146#4857C2211yescharacteristic
147#4857C2211yescharacteristic
148#4857C2211yescharacteristic
149#4857C2211yescharacteristic
150#4857C2211yescharacteristic
151#4856C2211yescharacteristic
152#4856C2211yescharacteristic
153#4856C2211yescharacteristic
154#4855C2211yescharacteristic
155#4854C2211yescharacteristic
156#4854C2211yescharacteristic
157#4854C2211yescharacteristic
158#4854C2211yescharacteristic
159#4854C2211yescharacteristic
160#4853C2211yescharacteristic
161#4853C2211yescharacteristic
162#4853C2211yescharacteristic
163#4852C2211yescharacteristic
164#4845C2211yescharacteristic
165#4839C2211yescharacteristic
166#4829C2211yescharacteristic
167#4828C2211yescharacteristic
168#4818C2211yescharacteristic
169#4817C2211yescharacteristic
170#4813C2211yescharacteristic
171#4812C2211yescharacteristic
172#4811C2211yescharacteristic
173#4795C2211yescharacteristic
174#4795C2211yescharacteristic
175#4793C2211yescharacteristic
176#4791C2211yescharacteristic
177#4790C2211yescharacteristic
178#4789C2211yescharacteristic
179#4789C2211yescharacteristic
180#4783C2211yescharacteristic
181#4772C2211yescharacteristic
182#4771C2211yescharacteristic
183#4768C2211yescharacteristic
184#4767C2211yescharacteristic
185#4766C2211yescharacteristic
186#4766C2211yescharacteristic
187#4765C2211yescharacteristic
188#4764C2211yescharacteristic
189#4764C2211yescharacteristic
190#4762C2211yescharacteristic
191#4761C2211yescharacteristic
192#4739C2211yescharacteristic
193#4736C2211yescharacteristic
194#4733C2211yescharacteristic
195#4730C2211yescharacteristic
196#4728C2211yescharacteristic
197#4723C2211yescharacteristic
198#4720C2211yescharacteristic
199#4719C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4697C2211yescharacteristic
202#4690C2211yescharacteristic
203#4679C2211yescharacteristic
204#3563—31no—
205#3522—31no—
206#3387—31no—
207#3387—31no—
208#3371—31no—
209#3371—31no—
210#3344—31no—
211#3344—31no—
212#3343—31no—
213#3343—31no—
214#3335—31no—
215#3335D311yescharacteristic, complemented
216#3317—31no—
217#3317—31no—
218#3316—31no—
219#3316—31no—
220#3300—31no—
221#3300—31no—
222#3258—31no—
223#3258—31no—
224#3246—31no—
225#3244—31no—
226#3244—31no—
227#3234—31no—
228#3120—31no—
229#3120—31no—
230#3113—31no—
231#3084—31no—
232#3084—31no—
233C2×#479—31no—
234#2992—31no—
235C2×C3×#41—21no—
236C2×#237—21no—
237C2×#237C2311yescharacteristic
238C2×#235—21no—
239C2×#235C2311yescharacteristic
240C22×Dic6C2311yescharacteristic
241C2×C3×SD16C2311yescharacteristic
242C22×C3×C8C2311yescharacteristic
243C22×C3×C8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×#125—21no—
247C3×#123—21no—
248C3×#123—21no—
249C3×C22⋊Q8—21no—
250C3×C22⋊Q8—21no—
251C3×C22⋊Q8—21no—
252C3×C22⋊Q8C2311yescharacteristic
253C3×C22⋊Q8C2311yescharacteristic
254C3×#121C2311yescharacteristic
255C3×#121C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×D4—21no—
258C3×C4×D4C2311yescharacteristic
259C3×C4×D4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264#947—21no—
265#946—21no—
266#946—21no—
267#946C2311yescharacteristic
268Q8×Dic3—21no—
269Q8×Dic3C2311yescharacteristic
270Q8×Dic3C2311yescharacteristic
271#944—21no—
272#944—21no—
273#944—21no—
274#944—21no—
275#944C2311yescharacteristic
276C2×#216C2311yescharacteristic
277C2×#216C2311yescharacteristic
278C2×#215C2311yescharacteristic
279#940—21no—
280#940C2311yescharacteristic
281#939—21no—
282#939—21no—
283#939—21no—
284#939—21no—
285#939D411yescharacteristic
286#936—21no—
287#936C2311yescharacteristic
288#935—21no—
289#935—21no—
290#935D411yescharacteristic
291D4×Dic3—21no—
292D4×Dic3C2311yescharacteristic
293C2×#214C2311yescharacteristic
294#930C2311yescharacteristic
295#929—21no—
296#929—21no—
297#929—21no—
298C4×#67—21no—
299C4×#67—21no—
300C4×#67—21no—
301C4×#67—21no—
302C4×#67—21no—
303C4×#67—21no—
304C4×#67C2311yescharacteristic
305C4×#67C2311yescharacteristic
306#926—21no—
307#926C2311yescharacteristic
308#926C2311yescharacteristic
309C2×C4⋊Dic3—21no—
310C2×C4⋊Dic3C2311yescharacteristic
311#924—21no—
312#924—21no—
313#924—21no—
314#924—21no—
315#924C2311yescharacteristic
316#924C2311yescharacteristic
317#924C2311yescharacteristic
318C2×Dic3⋊C4—21no—
319C2×Dic3⋊C4—21no—
320C2×Dic3⋊C4—21no—
321C2×C4×Dic3—21no—
322C2×C4×Dic3C2311yescharacteristic
323C2×#208C2311yescharacteristic
324C22×C3⋊C8C2311yescharacteristic
325C2×Dic12C2311yescharacteristic
326C2×Dic12C2311yescharacteristic
327C2×#204C2311yescharacteristic
328C2×ΓL(1,𝔽25)C2311yescharacteristic
329C2×D3×C8C2311yescharacteristic
330#898—21no—
331#898—21no—
332#898—21no—
333#898—21no—
334#898D411yescharacteristic
335#897C2311yescharacteristic
336#897C2311yescharacteristic
337#896—21no—
338#896—21no—
339#896—21no—
340#896—21no—
341#896—21no—
342#895C2311yescharacteristic
343#894—21no—
344#894—21no—
345#893C2311yescharacteristic
346#893C2311yescharacteristic
347#892—21no—
348#892—21no—
349#892C2311yescharacteristic
350D3×C4⋊C4—21no—
351D3×C4⋊C4C2311yescharacteristic
352D3×C4⋊C4C2311yescharacteristic
353#890—21no—
354#890—21no—
355#890—21no—
356#890—21no—
357#890—21no—
358#890—21no—
359#890C2311yescharacteristic
360#890C2311yescharacteristic
361#890C2311yescharacteristic
362#890C2311yescharacteristic
363#890C2311yescharacteristic
364#889—21no—
365#889—21no—
366#889—21no—
367#889—21no—
368#889—21no—
369#889—21no—
370#889—21no—
371#889—21no—
372#889—21no—
373#889—21no—
374#889—21no—
375#889D411yescharacteristic
376#888—21no—
377#888—21no—
378#888—21no—
379#888C2311yescharacteristic
380#888C2311yescharacteristic
381#888C2311yescharacteristic
382#888C2311yescharacteristic
383#887—21no—
384#887—21no—
385#887—21no—
386#887—21no—
387#887C2311yescharacteristic
388#887C2311yescharacteristic
389#887C2311yescharacteristic
390#887C2311yescharacteristic
391#887C2311yescharacteristic
392#887C2311yescharacteristic
393#887C2311yescharacteristic
394#886—21no—
395#886D411yescharacteristic
396#885—21no—
397#885—21no—
398#885—21no—
399#885—21no—
400#885D411yescharacteristic
401#884—21no—
402#883—21no—
403#883—21no—
404#67⋊C4—21no—
405#67⋊C4—21no—
406#67⋊C4—21no—
407#67⋊C4—21no—
408#879—21no—
409#879—21no—
410#879—21no—
411#879—21no—
412#879—21no—
413#879D411yescharacteristic
414#878—21no—
415#878—21no—
416#878—21no—
417#878D411yescharacteristic
418#877—21no—
419#877—21no—
420#877—21no—
421#877—21no—
422#876—21no—
423#875C2311yescharacteristic
424#872C2311yescharacteristic
425#870—21no—
426#870—21no—
427#870C2311yescharacteristic
428C4×Dic6—21no—
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×#106C2311yescharacteristic
437C3×#106C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×#106C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×C22⋊C8C2311yescharacteristic
449C3×C22⋊C8C2311yescharacteristic
450C3×C4×C8C2311yescharacteristic
451#835C2311yescharacteristic
452#832C2311yescharacteristic
453#832C2311yescharacteristic
454#832C2311yescharacteristic
455#830C2311yescharacteristic
456#830C2311yescharacteristic
457#821C2311yescharacteristic
458#821C2311yescharacteristic
459#821C2311yescharacteristic
460(C2×D3)⋊C8C2311yescharacteristic
461(C2×D3)⋊C8C2311yescharacteristic
462#818C2311yescharacteristic
463#818C2311yescharacteristic
464#817C2311yescharacteristic
465#816C2311yescharacteristic
466#816C2311yescharacteristic
467#816C2311yescharacteristic
468#816C2311yescharacteristic
469#816C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#815C2311yescharacteristic
473#815C2311yescharacteristic
474#815C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479Dic3⋊C8C2311yescharacteristic
480Dic3⋊C8C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483C8×Dic3C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#810C2311yescharacteristic
487#810C2311yescharacteristic
488#810C2311yescharacteristic
489#810C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#809C2311yescharacteristic
494#809C2311yescharacteristic
495#809C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507#807C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509#803C2311yescharacteristic
510#564—61no—
511#563—61no—
512#559—31no—
513#559—61no—
514Q82—31no—
515#557—31no—
516#557—31no—
517#554—31no—
518#554—31no—
519#554—61no—
520#554C2×D311yescharacteristic
521#552—31no—
522#552—31no—
523#552—31no—
524#552—31no—
525#552—61no—
526#552—61no—
527#550—31no—
528#548—31no—
529#548—31no—
530#547—31no—
531#547—61no—
532#547—61no—
533#547C2×D311yescharacteristic
534#544—31no—
535#544—31no—
536#544—61no—
537#542—31no—
538#542—31no—
539#542—61no—
540#542—61no—
541#541—31no—
542#541—31no—
543#541—61no—
544#541—61no—
545#539—61no—
546#533—31no—
547#532—31no—
548#532—61no—
549#529—31no—
550#529—61no—
551C2×#125—31no—
552#520—31no—
553#520—31no—
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#498—31no—
560#498C2×D311yescharacteristic
561#490—31no—
562#490—31no—
563#489—31no—
564#489—31no—
565#488—31no—
566#488—31no—
567#485—31no—
568#485—31no—
569#484—31no—
570#484—31no—
571#483—31no—
572#483—31no—
573#483—31no—
574#483—31no—
575#483C2×D311yescharacteristic
576#483C2×D311yescharacteristic
577#482—31no—
578#482—31no—
579#481—31no—
580#481—31no—
581#481C2×D311yescharacteristic
582#481C2×D311yescharacteristic
583#480—31no—
584#480—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#479—31no—
592#479—31no—
593#479—31no—
594#479—31no—
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478—31no—
601#477—31no—
602#477—31no—
603#476—31no—
604#476—31no—
605#476—31no—
606#476C2×D311yescharacteristic
607#475—31no—
608#475—31no—
609#475—31no—
610#475—31no—
611#475—31no—
612#475—31no—
613#475—31no—
614#475C2×D311yescharacteristic
615#470—31no—
616#470—31no—
617#468—31no—
618#468—31no—
619#467—31no—
620#467—31no—
621#465—31no—
622#465—31no—
623#465—31no—
624#465—31no—
625#465C2×D311yescharacteristic
626#465C2×D311yescharacteristic
627#464—31no—
628#464—31no—
629#464—31no—
630#464—31no—
631#462—31no—
632#462—31no—
633#461—31no—
634#461—31no—
635#460—31no—
636#460—31no—
637#452—31no—
638#452—31no—
639#452—31no—
640#452—31no—
641#451—31no—
642#451—31no—
643#446—31no—
644#446—31no—
645#441—31no—
646#441—31no—
647#441—31no—
648#441—31no—
649#441—31no—
650#441—31no—
651#440—31no—
652#440—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×SD16—31no—
656C4×SD16C2×D311yescharacteristic
657#435—31no—
658#435—31no—
659#435—31no—
660#435—31no—
661C8×D4—31no—
662C8×D4C2×D311yescharacteristic
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#428—31no—
668C2×#107—31no—
669C2×#106—31no—
670C2×#106C2×D311yescharacteristic
671C2×#106C2×D311yescharacteristic
672#424—31no—
673#424—31no—
674C2×C4⋊C8—31no—
675#417—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#103—31no—
680C2×#103—31no—
681C3×#41—82no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2411yescharacteristic
685C2×C3×D4—21no—
686C2×C3×D4—21no—
687C2×C3×D4C2×D411yescharacteristic
688C2×C3×D4C2411yescharacteristic
689C22×C3×C4—21no—
690C22×C3×C4—21no—
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4C2411yescharacteristic
695C22×C3×C4C2411yescharacteristic
696C2×#67—21no—
697C2×#67—21no—
698C2×#67—21no—
699C2×#67—21no—
700C2×#67—21no—
701C2×#67C2×D411yescharacteristic
702C2×#67C2×D411yescharacteristic
703C22×Dic3—21no—
704C22×Dic3—21no—
705C22×Dic3—21no—
706C22×Dic3—21no—
707C22×Dic3C2×D411yescharacteristic
708C22×Dic3C2×D411yescharacteristic
709#237—22no—
710#237—41no—
711#237—82no—
712#235—22no—
713#235—41no—
714#235—82no—
715C2×D12—21no—
716C2×D12C2411yescharacteristic
717C2×C4×D3—21no—
718C2×C4×D3—21no—
719C2×C4×D3—21no—
720C2×C4×D3—21no—
721C2×C4×D3—21no—
722C2×C4×D3C2411yescharacteristic
723C2×Dic6—22no—
724C2×Dic6—21no—
725C2×Dic6—21no—
726C2×Dic6—21no—
727C2×Dic6—21no—
728C2×Dic6—21no—
729C2×Dic6—41no—
730C2×Dic6C2×D411yescharacteristic
731C2×Dic6C2411yescharacteristic
732C2×Dic6C2411yescharacteristic
733C2×Dic6C2411yescharacteristic
734C3×SD16—41no—
735C2×C3×C8—41no—
736C2×C3×C8—41no—
737C2×C3×C8C2411yescharacteristic
738C2×C3×C8C2411yescharacteristic
739C2×C3×C8C2411yescharacteristic
740C2×C3×C8C2411yescharacteristic
741C3×C4⋊C4—21no—
742C3×C4⋊C4—21no—
743C3×C4⋊C4—21no—
744C3×C4⋊C4—21no—
745C3×C4⋊C4—21no—
746C3×C4⋊C4—21no—
747C3×C4⋊C4—21no—
748C3×C4⋊C4—21no—
749C3×C4⋊C4—21no—
750C3×C4⋊C4C2×D411yescharacteristic
751C3×C4⋊C4C2411yescharacteristic
752C3×C4⋊C4C2411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C22⋊C4—21no—
758C3×C22⋊C4—21no—
759C3×C22⋊C4—21no—
760C3×C22⋊C4—21no—
761C3×C22⋊C4—21no—
762C3×C22⋊C4C2×D411yescharacteristic
763C3×C22⋊C4C2×D411yescharacteristic
764C3×C42—21no—
765C3×C42C2411yescharacteristic
766#217—21no—
767#217—21no—
768#217—21no—
769#217—21no—
770#217—21no—
771#217—21no—
772#217—21no—
773#217C2×D411yescharacteristic
774#217C2×D411yescharacteristic
775#217C2×D411yescharacteristic
776#217C2×D411yescharacteristic
777#216—22no—
778#216—41no—
779#215—41no—
780#214—41no—
781(C2×D3)⋊C4—21no—
782(C2×D3)⋊C4—21no—
783(C2×D3)⋊C4—21no—
784(C2×D3)⋊C4—21no—
785(C2×D3)⋊C4—21no—
786(C2×D3)⋊C4—21no—
787(C2×D3)⋊C4—21no—
788(C2×D3)⋊C4—21no—
789(C2×D3)⋊C4—21no—
790(C2×D3)⋊C4—21no—
791(C2×D3)⋊C4C2×D411yescharacteristic
792(C2×D3)⋊C4C2×D411yescharacteristic
793(C2×D3)⋊C4C2×D411yescharacteristic
794(C2×D3)⋊C4C2×D411yescharacteristic
795C4⋊Dic3—21no—
796C4⋊Dic3—21no—
797C4⋊Dic3—21no—
798C4⋊Dic3—21no—
799C4⋊Dic3—21no—
800C4⋊Dic3—21no—
801C4⋊Dic3—21no—
802C4⋊Dic3—21no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3C2×D411yescharacteristic
806C4⋊Dic3C2×D411yescharacteristic
807C4⋊Dic3C2×D411yescharacteristic
808C4⋊Dic3C2411yescharacteristic
809C4⋊Dic3C2411yescharacteristic
810C4⋊Dic3C2411yescharacteristic
811C4⋊Dic3C2411yescharacteristic
812Dic3⋊C4—21no—
813Dic3⋊C4—21no—
814Dic3⋊C4—21no—
815Dic3⋊C4—21no—
816Dic3⋊C4—21no—
817Dic3⋊C4—21no—
818Dic3⋊C4—21no—
819Dic3⋊C4—21no—
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4C2×D411yescharacteristic
841Dic3⋊C4C2×D411yescharacteristic
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
844Dic3⋊C4C2×D411yescharacteristic
845Dic3⋊C4C2×D411yescharacteristic
846C4×Dic3—21no—
847C4×Dic3—21no—
848C4×Dic3—21no—
849C4×Dic3—21no—
850C4×Dic3—21no—
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3C2×D411yescharacteristic
860C4×Dic3C2×D411yescharacteristic
861C4×Dic3C2411yescharacteristic
862C4×Dic3C2411yescharacteristic
863C4×Dic3C2411yescharacteristic
864#208—41no—
865C2×C3⋊C8—41no—
866C2×C3⋊C8C2411yescharacteristic
867C2×C3⋊C8C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870Dic12—22no—
871Dic12—41no—
872#204—41no—
873ΓL(1,𝔽25)—41no—
874D3×C8—41no—
875C2×#41—21no—
876C2×#41—31no—
877C2×#41—31no—
878C2×#41—61no—
879C2×#41—61no—
880C22×Q8—31no—
881C2×Q16—31no—
882C2×Q16—31no—
883C2×Q16—31no—
884C2×Q16—31no—
885C2×SD16—31no—
886C2×SD16—31no—
887C2×SD16—31no—
888C2×SD16C22×D311yescharacteristic
889C2×M16—31no—
890C2×M16—31no—
891C22×C8—31no—
892C22×C8—31no—
893C22×C8C22×D311yescharacteristic
894C22×C8C22×D311yescharacteristic
895C4⋊Q8—31no—
896C4⋊Q8—31no—
897C4⋊Q8—31no—
898C4⋊Q8—31no—
899C4⋊Q8—31no—
900C4⋊Q8—61no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8—61no—
906C4⋊Q8—61no—
907C4⋊Q8C22×D311yescharacteristic
908C4⋊Q8C22×D311yescharacteristic
909#127—31no—
910#127—61no—
911#126—31no—
912#126—31no—
913#126—61no—
914#126—61no—
915#126—61no—
916#126—61no—
917#126—61no—
918#126—61no—
919#126—61no—
920#126—61no—
921#126—61no—
922#126—61no—
923#125—21no—
924#125—31no—
925#125—31no—
926#125—31no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125—61no—
935#125—61no—
936#125—61no—
937#125—61no—
938#125—61no—
939#125—61no—
940#125—61no—
941#125—61no—
942#125—61no—
943#125—61no—
944#125—61no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#124—31no—
951#124—31no—
952#124—31no—
953#124—61no—
954#124—61no—
955#124—61no—
956#124—61no—
957#124—61no—
958#124—61no—
959#123—21no—
960#123—21no—
961#123—31no—
962#123—31no—
963#123—61no—
964#123—61no—
965#123—61no—
966#123—61no—
967#123—61no—
968#123—61no—
969#123—61no—
970#123—61no—
971#123—61no—
972#123—61no—
973C22⋊Q8—21no—
974C22⋊Q8—21no—
975C22⋊Q8—21no—
976C22⋊Q8—31no—
977C22⋊Q8—31no—
978C22⋊Q8—31no—
979C22⋊Q8—31no—
980C22⋊Q8—31no—
981C22⋊Q8—31no—
982C22⋊Q8—31no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8—61no—
997C22⋊Q8C22×D311yescharacteristic
998C22⋊Q8C22×D311yescharacteristic
999#121—31no—
1000#121—31no—
1001#121—31no—
1002#121—61no—
1003#121—61no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121C22×D311yescharacteristic
1008#121C22×D311yescharacteristic
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—31no—
1019C4×Q8—31no—
1020C4×Q8—31no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8C22×D311yescharacteristic
1028C4×D4—21no—
1029C4×D4—31no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—61no—
1035C4×D4—61no—
1036C4×D4—61no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4—61no—
1041C4×D4—61no—
1042C4×D4—61no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4C22×D311yescharacteristic
1046C4×D4C22×D311yescharacteristic
1047#117—31no—
1048#117—31no—
1049#117—31no—
1050#117—31no—
1051#117—61no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117—61no—
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—61no—
1062C2×C4⋊C4—61no—
1063C2×C4⋊C4—61no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4C22×D311yescharacteristic
1067C2×C4⋊C4C22×D311yescharacteristic
1068C2×C4⋊C4C22×D311yescharacteristic
1069C2×C4⋊C4C22×D311yescharacteristic
1070C2×C42—31no—
1071C2×C42—61no—
1072#107—31no—
1073#107—31no—
1074#107—31no—
1075#107—31no—
1076#107—31no—
1077#107—31no—
1078#107—31no—
1079#107—31no—
1080#106—31no—
1081#106—31no—
1082#106—31no—
1083#106—31no—
1084#106—31no—
1085#106—31no—
1086#106—31no—
1087#106C22×D311yescharacteristic
1088#106C22×D311yescharacteristic
1089#106C22×D311yescharacteristic
1090#106C22×D311yescharacteristic
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
1093#106C22×D311yescharacteristic
1094#106C22×D311yescharacteristic
1095#106C22×D311yescharacteristic
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8C22×D311yescharacteristic
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#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102C22×D311yescharacteristic
1136#102C22×D311yescharacteristic
1137#102C22×D311yescharacteristic
1138C22⋊C8—31no—
1139C22⋊C8—31no—
1140C22⋊C8—31no—
1141C22⋊C8—31no—
1142C22⋊C8C22×D311yescharacteristic
1143C22⋊C8C22×D311yescharacteristic
1144#97—31no—
1145#97—31no—
1146#97—31no—
1147#97—31no—
1148C4×C8—31no—
1149C4×C8C22×D311yescharacteristic
1150C23×C3—21no—
1151C23×C3C22×D411yescharacteristic
1152C23×C3C22×D411yescharacteristic
1153C22×D3—21no—
1154C22×D3C22×D411yescharacteristic
1155C3×Q8—21no—
1156C3×Q8—21no—
1157C3×Q8—81no—
1158C3×Q8—81no—
1159C3×D4—22no—
1160C3×D4—21no—
1161C3×D4—21no—
1162C3×D4—42no—
1163C3×D4—81no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—42no—
1176C2×C3×C4—81no—
1177C2×C3×C4—81no—
1178C2×C3×C4—81no—
1179C2×C3×C4—81no—
1180C2×C3×C4C22×D411yescharacteristic
1181C2×C3×C4C22×D411yescharacteristic
1182C2×C3×C4C22×D411yescharacteristic
1183C2×C3×C4C22×D411yescharacteristic
1184C2×C3×C4C2511yescharacteristic
1185#67—22no—
1186#67—41no—
1187#67—42no—
1188#67—42no—
1189#67—42no—
1190#67—42no—
1191#67—81no—
1192C2×Dic3—22no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—41no—
1201C2×Dic3—42no—
1202C2×Dic3—42no—
1203C2×Dic3—42no—
1204C2×Dic3—81no—
1205C2×Dic3C22×D411yescharacteristic
1206C2×Dic3C22×D411yescharacteristic
1207C2×Dic3C22×D411yescharacteristic
1208C2×Dic3C22×D411yescharacteristic
1209C2×Dic3C22×D411yescharacteristic
1210C2×Dic3C22×D411yescharacteristic
1211C2×Dic3C22×D411yescharacteristic
1212D12—21no—
1213D12—21no—
1214D12—81no—
1215C4×D3—21no—
1216C4×D3—21no—
1217C4×D3—42no—
1218C4×D3—81no—
1219C4×D3—81no—
1220C4×D3—81no—
1221C4×D3—81no—
1222Dic6—21no—
1223Dic6—21no—
1224Dic6—21no—
1225Dic6—21no—
1226Dic6—21no—
1227Dic6—41no—
1228Dic6—42no—
1229Dic6—81no—
1230Dic6—81no—
1231Dic6—81no—
1232Dic6—81no—
1233Dic62−1+412yes—
1234C3×C8—21no—
1235C3×C8—21no—
1236C3×C8—21no—
1237C3×C8—21no—
1238C3⋊C8—21no—
1239C3⋊C8—21no—
1240C3⋊C8—21no—
1241C3⋊C8—21no—
1242#41—62no—
1243#41—62no—
1244#41—82no—
1245#41—121no—
1246#41—121no—
1247#41—242no—
1248#41—242no—
1249C2×Q8—21no—
1250C2×Q8—21no—
1251C2×Q8—31no—
1252C2×Q8—31no—
1253C2×Q8—31no—
1254C2×Q8—31no—
1255C2×Q8—61no—
1256C2×Q8—61no—
1257C2×Q8—61no—
1258C2×Q8—61no—
1259C2×Q8—62no—
1260C2×Q8—61no—
1261C2×Q8—121no—
1262C2×Q8C23×D311yescharacteristic
1263C2×D4—21no—
1264C2×D4—21no—
1265C2×D4—31no—
1266C2×D4—31no—
1267C2×D4—31no—
1268C2×D4—61no—
1269C2×D4—61no—
1270C2×D4—61no—
1271C2×D4—61no—
1272C2×D4—61no—
1273C2×D4—61no—
1274C2×D4D3×D411yescharacteristic
1275C2×D4C23×D311yescharacteristic
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—61no—
1285C22×C4—61no—
1286C22×C4—61no—
1287C22×C4—61no—
1288C22×C4—61no—
1289C22×C4—61no—
1290C22×C4—61no—
1291C22×C4—61no—
1292C22×C4—61no—
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295Q16—62no—
1296Q16—62no—
1297Q16—121no—
1298Q16—121no—
1299SD16—41no—
1300SD16—121no—
1301SD16—121no—
1302SD16—121no—
1303M16—121no—
1304M16—121no—
1305C2×C8—31no—
1306C2×C8—31no—
1307C2×C8—31no—
1308C2×C8—31no—
1309C2×C8—41no—
1310C2×C8—41no—
1311C2×C8—121no—
1312C2×C8—121no—
1313C2×C8C23×D311yescharacteristic
1314C2×C8C23×D311yescharacteristic
1315C2×C8C23×D311yescharacteristic
1316C2×C8C23×D311yescharacteristic
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—31no—
1327C4⋊C4—31no—
1328C4⋊C4—31no—
1329C4⋊C4—31no—
1330C4⋊C4—31no—
1331C4⋊C4—31no—
1332C4⋊C4—31no—
1333C4⋊C4—31no—
1334C4⋊C4—31no—
1335C4⋊C4—31no—
1336C4⋊C4—31no—
1337C4⋊C4—31no—
1338C4⋊C4—31no—
1339C4⋊C4—61no—
1340C4⋊C4—61no—
1341C4⋊C4—61no—
1342C4⋊C4—61no—
1343C4⋊C4—61no—
1344C4⋊C4—61no—
1345C4⋊C4—61no—
1346C4⋊C4—61no—
1347C4⋊C4—61no—
1348C4⋊C4—61no—
1349C4⋊C4—61no—
1350C4⋊C4—61no—
1351C4⋊C4—61no—
1352C4⋊C4—61no—
1353C4⋊C4—61no—
1354C4⋊C4—61no—
1355C4⋊C4—61no—
1356C4⋊C4—61no—
1357C4⋊C4—61no—
1358C4⋊C4—61no—
1359C4⋊C4—61no—
1360C4⋊C4—61no—
1361C4⋊C4—61no—
1362C4⋊C4—61no—
1363C4⋊C4—61no—
1364C4⋊C4—61no—
1365C4⋊C4—61no—
1366C4⋊C4—61no—
1367C4⋊C4—61no—
1368C4⋊C4—61no—
1369C4⋊C4—61no—
1370C4⋊C4—61no—
1371C4⋊C4—61no—
1372C4⋊C4—61no—
1373C4⋊C4—61no—
1374C4⋊C4—61no—
1375C4⋊C4—61no—
1376C4⋊C4—61no—
1377C4⋊C4D3×D411yescharacteristic
1378C4⋊C4C23×D311yescharacteristic
1379C4⋊C4C23×D311yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C4⋊C4C23×D311yescharacteristic
1383C4⋊C4C23×D311yescharacteristic
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—31no—
1390C22⋊C4—31no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—31no—
1395C22⋊C4—31no—
1396C22⋊C4—31no—
1397C22⋊C4—61no—
1398C22⋊C4—61no—
1399C22⋊C4—61no—
1400C22⋊C4—61no—
1401C22⋊C4—61no—
1402C22⋊C4—61no—
1403C22⋊C4—61no—
1404C22⋊C4—61no—
1405C22⋊C4—61no—
1406C22⋊C4—61no—
1407C22⋊C4—61no—
1408C22⋊C4—61no—
1409C22⋊C4—61no—
1410C22⋊C4—61no—
1411C22⋊C4—61no—
1412C22⋊C4—61no—
1413C22⋊C4—61no—
1414C22⋊C4D3×D411yescharacteristic
1415C22⋊C4D3×D411yescharacteristic
1416C42—21no—
1417C42—31no—
1418C42—31no—
1419C42—31no—
1420C42—31no—
1421C42—31no—
1422C42—61no—
1423C42—61no—
1424C42—61no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42—61no—
1430C42—61no—
1431C42—61no—
1432C42—61no—
1433C42—61no—
1434C42—61no—
1435C42C23×D311yescharacteristic
1436C22×C3—21no—
1437C22×C3—21no—
1438C22×C3—21no—
1439C22×C3—21no—
1440C22×C3—21no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3#57712yes—
1445C22×C3C23×D411yescharacteristic
1446C2×D3—21no—
1447C2×D3—21no—
1448C2×D3—21no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C3×C4—21no—
1453C3×C4—21no—
1454C3×C4—21no—
1455C3×C4—21no—
1456C3×C4—41no—
1457C3×C4—41no—
1458C3×C4—41no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4C2×2−1+411yescharacteristic
1464C3×C4#58511yescharacteristic
1465Dic3—21no—
1466Dic3—21no—
1467Dic3—21no—
1468Dic3—22no—
1469Dic3—21no—
1470Dic3—21no—
1471Dic3—21no—
1472Dic3—21no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479C23—21no—
1480C23—31no—
1481C23—61no—
1482C23C2×D3×D411yescharacteristic
1483C23C2×D3×D411yescharacteristic
1484Q8—21no—
1485Q8—21no—
1486Q8—32no—
1487Q8—61no—
1488Q8—61no—
1489Q8—61no—
1490Q8—61no—
1491Q8—61no—
1492Q8—81no—
1493Q8—81no—
1494Q8—121no—
1495Q8—122no—
1496Q8—241no—
1497Q8—241no—
1498Q8—241no—
1499Q8—241no—
1500D4—22no—
1501D4—21no—
1502D4—21no—
1503D4—42no—
1504D4—62no—
1505D4—61no—
1506D4—61no—
1507D4—81no—
1508D4—121no—
1509D4—122no—
1510D4—122no—
1511D4—122no—
1512D4—122no—
1513D4—241no—
1514D4—241no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—31no—
1527C2×C4—31no—
1528C2×C4—31no—
1529C2×C4—31no—
1530C2×C4—31no—
1531C2×C4—31no—
1532C2×C4—31no—
1533C2×C4—42no—
1534C2×C4—61no—
1535C2×C4—62no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—81no—
1545C2×C4—81no—
1546C2×C4—81no—
1547C2×C4—81no—
1548C2×C4—122no—
1549C2×C4—121no—
1550C2×C4—122no—
1551C2×C4—122no—
1552C2×C4—122no—
1553C2×C4—241no—
1554C2×C4—241no—
1555C2×C4—241no—
1556C2×C4—241no—
1557C2×C4—241no—
1558C2×C4C2×D3×D411yescharacteristic
1559C2×C4C2×D3×D411yescharacteristic
1560C2×C4C2×D3×D411yescharacteristic
1561C2×C4C2×D3×D411yescharacteristic
1562C2×C4C24×D311yescharacteristic
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—61no—
1568C8—61no—
1569C8—61no—
1570C8—61no—
1571C2×C3—22no—
1572C2×C3—41no—
1573C2×C3—81no—
1574C2×C3#348911yescharacteristic
1575C2×C3C2×#57711yescharacteristic
1576C2×C3#358611yescharacteristic
1577D3—41no—
1578D3—81no—
1579C22—21no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—61no—
1588C22—61no—
1589C22—61no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22#576212yes—
1594C22C22×D3×D411yescharacteristic
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—61no—
1607C4—61no—
1608C4—61no—
1609C4—61no—
1610C4—62no—
1611C4—61no—
1612C4—61no—
1613C4—61no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4#596411yescharacteristic
1621C4D3×2−1+411yescharacteristic
1622C3#6216911yescharacteristic, complemented, Sylow
1623C2—22no—
1624C2—41no—
1625C2—81no—
1626C2—121no—
1627C2—241no—
1628C2#8667711yescharacteristic
1629C2C2×#576211yescharacteristic
1630C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3335C2
socleC22×C3C23×D4
prime radical#86688C2
hypercenter#3335D3
hypocenterC3#62169
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3335

Complements

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

NH ≅ G/Ntype
1. #86943C2semidirect
3. C3×#3335C2semidirect
4. #83641C2semidirect
5. #83518C2semidirect
6. #81906C2semidirect
7. #81898C2semidirect
8. #81438C2semidirect
9. #81424C2semidirect
10. #81416C2semidirect
11. #81414C2semidirect
12. #81346C2semidirect
13. #81332C2semidirect
14. #81319C2semidirect
15. #81317C2semidirect
16. #81063C2semidirect
17. #81051C2semidirect
18. #81007C2semidirect
19. #81003C2semidirect
20. #80693C2semidirect
21. #80690C2semidirect
22. #80645C2semidirect
23. #80640C2semidirect
24. #79657C2semidirect
25. #79627C2semidirect
26. #79449C2semidirect
27. #79407C2semidirect
28. C2×#4857C2semidirect
29. #79130C2semidirect
30. #79126C2semidirect
31. #79124C2semidirect
215. #3335D3semidirect
1622. C3#62169semidirect

Maximal subgroups

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

subgroupindex
#869432
#866882
C3×#33352
#836412
#835182
#819062
#818982
#814382
#814242
#814162
#814142
#813462
#813322
#813192
#813172
#810632
#810512
#810072
#810032
#806932
#806902
#806452
#806402
#796572
#796272
#794492
#794072
C2×#48572
#791302
#791262
#791242
#621693