Finite Group Databasebeta

← #11692236

Subgroups — #11692236

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#86604C211yesmaximal, characteristic, complemented
2#86558C211yesmaximal, characteristic
3C3×#3244C211yesmaximal, characteristic, complemented
4#83476C211yesmaximal, characteristic, complemented
5#83468C211yesmaximal, characteristic, complemented
6#81990C211yesmaximal, characteristic, complemented
7#81967C211yesmaximal, characteristic, complemented
8#81906C211yesmaximal, characteristic, complemented
9#81899C211yesmaximal, characteristic, complemented
10#81701C211yesmaximal, characteristic, complemented
11#81673C211yesmaximal, characteristic, complemented
12#81662C211yesmaximal, characteristic, complemented
13#81654C211yesmaximal, characteristic, complemented
14#81534C211yesmaximal, characteristic, complemented
15#81524C211yesmaximal, characteristic, complemented
16#81437C211yesmaximal, characteristic, complemented
17#81433C211yesmaximal, characteristic, complemented
18#81409C211yesmaximal, characteristic, complemented
19#81390C211yesmaximal, characteristic, complemented
20#81332C211yesmaximal, characteristic, complemented
21#81320C211yesmaximal, characteristic, complemented
22#81264C211yesmaximal, characteristic, complemented
23D3×#479C211yesmaximal, characteristic, complemented
24#81174C211yesmaximal, characteristic, complemented
25#81145C211yesmaximal, characteristic, complemented
26#81070C211yesmaximal, characteristic, complemented
27#81063C211yesmaximal, characteristic, complemented
28#81020C211yesmaximal, characteristic, complemented
29#80998C211yesmaximal, characteristic, complemented
30#79385C211yesmaximal, characteristic, complemented
31#79379C211yesmaximal, characteristic, complemented
32#62169—31nomaximal, Sylow
33C3×#544C2211yescharacteristic
34C3×#542C2211yescharacteristic
35#5731—21no—
36#5730C2211yescharacteristic
37#5729—21no—
38#5729C2211yescharacteristic
39#5728C2211yescharacteristic
40#5726C2211yescharacteristic
41#5722C2211yescharacteristic
42#5721C2211yescharacteristic
43#5710—21no—
44#5706—21no—
45#5698C2211yescharacteristic
46#5694C2211yescharacteristic
47#5693—21no—
48D3×#125C2211yescharacteristic
49C3⋊#564—21no—
50#5685C2211yescharacteristic
51#5681C2211yescharacteristic
52#5677C2211yescharacteristic
53#5669—21no—
54#5668—21no—
55#5664—21no—
56#5655—21no—
57#5646—21no—
58#5639—21no—
59#5638—21no—
60#5636—21no—
61#5635C2211yescharacteristic
62#5633C2211yescharacteristic
63#5631—21no—
64#5625—21no—
65#5611C2211yescharacteristic
66#5599C2211yescharacteristic
67#5582C2211yescharacteristic
68C4×D3×Q8C2211yescharacteristic
69#5548C2211yescharacteristic
70#5546C2211yescharacteristic
71#5529C2211yescharacteristic
72#5529C2211yescharacteristic
73#5528C2211yescharacteristic
74#5523C2211yescharacteristic
75#5518C2211yescharacteristic
76#5513C2211yescharacteristic
77#5511C2211yescharacteristic
78C3×#501C2211yescharacteristic
79C3×#498C2211yescharacteristic
80C3×#489C2211yescharacteristic
81C3×#488C2211yescharacteristic
82C3×#485C2211yescharacteristic
83C3×#483C2211yescharacteristic
84C3×#482C2211yescharacteristic
85C3×#481C2211yescharacteristic
86C3×#479C2211yescharacteristic
87C3×#478C2211yescharacteristic
88C3×#476C2211yescharacteristic
89C3×#475C2211yescharacteristic
90C3×#433C2211yescharacteristic
91#5094C2211yescharacteristic
92#5094C2211yescharacteristic
93#5094C2211yescharacteristic
94#5091C2211yescharacteristic
95#5084C2211yescharacteristic
96#5084C2211yescharacteristic
97#5066C2211yescharacteristic
98#5066C2211yescharacteristic
99#5063C2211yescharacteristic
100#5063C2211yescharacteristic
101#5054C2211yescharacteristic
102#5054C2211yescharacteristic
103#5052C2211yescharacteristic
104#5051C2211yescharacteristic
105#5042C2211yescharacteristic
106#5041C2211yescharacteristic
107#5031C2211yescharacteristic
108#5022C2211yescharacteristic
109#5019C2211yescharacteristic
110#5009C2211yescharacteristic
111#5002C2211yescharacteristic
112#4999C2211yescharacteristic
113#4995C2211yescharacteristic
114#4966C2211yescharacteristic
115C2×#808C2211yescharacteristic
116#4886C2211yescharacteristic
117#4884C2211yescharacteristic
118#4882C2211yescharacteristic
119D3×#107C2211yescharacteristic
120#4877C2211yescharacteristic
121#4876C2211yescharacteristic
122#4875C2211yescharacteristic
123#4873C2211yescharacteristic
124#4866C2211yescharacteristic
125#4864C2211yescharacteristic
126#4864C2211yescharacteristic
127#4864C2211yescharacteristic
128#4863C2211yescharacteristic
129#4863C2211yescharacteristic
130#4862C2211yescharacteristic
131#4862C2211yescharacteristic
132#4862C2211yescharacteristic
133#4861C2211yescharacteristic
134D3×#106C2211yescharacteristic
135D3×#106C2211yescharacteristic
136#4857C2211yescharacteristic
137#4857C2211yescharacteristic
138#4856C2211yescharacteristic
139#4856C2211yescharacteristic
140#4855C2211yescharacteristic
141#4854C2211yescharacteristic
142#4854C2211yescharacteristic
143#4854C2211yescharacteristic
144#4854C2211yescharacteristic
145#4853C2211yescharacteristic
146#4853C2211yescharacteristic
147#4853C2211yescharacteristic
148#4849C2211yescharacteristic
149#4847C2211yescharacteristic
150#4841C2211yescharacteristic
151#4840C2211yescharacteristic
152#4839C2211yescharacteristic
153#4835C2211yescharacteristic
154D3×C4⋊C8C2211yescharacteristic
155#4829C2211yescharacteristic
156#4816C2211yescharacteristic
157#4814C2211yescharacteristic
158#4813C2211yescharacteristic
159#4809C2211yescharacteristic
160#4809C2211yescharacteristic
161#4805C2211yescharacteristic
162D3×#103C2211yescharacteristic
163D3×#103C2211yescharacteristic
164#4800C2211yescharacteristic
165#4799C2211yescharacteristic
166#4798C2211yescharacteristic
167#4798C2211yescharacteristic
168#4796C2211yescharacteristic
169#4794C2211yescharacteristic
170#4789C2211yescharacteristic
171#4789C2211yescharacteristic
172#4783C2211yescharacteristic
173#4783C2211yescharacteristic
174#4778C2211yescharacteristic
175#4778C2211yescharacteristic
176#4777C2211yescharacteristic
177#4774C2211yescharacteristic
178#4772C2211yescharacteristic
179#4771C2211yescharacteristic
180#4766C2211yescharacteristic
181#4764C2211yescharacteristic
182#4764C2211yescharacteristic
183#4762C2211yescharacteristic
184#4762C2211yescharacteristic
185#4761C2211yescharacteristic
186#4758C2211yescharacteristic
187#4757C2211yescharacteristic
188#4733C2211yescharacteristic
189#4733C2211yescharacteristic
190#4730C2211yescharacteristic
191#4728C2211yescharacteristic
192#4728C2211yescharacteristic
193#67⋊C8C2211yescharacteristic
194#4722C2211yescharacteristic
195#4721C2211yescharacteristic
196#4716C2211yescharacteristic
197#4710C2211yescharacteristic
198#4706C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201C4×#204C2211yescharacteristic
202C8×D12C2211yescharacteristic
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#3335—31no—
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#3244D311yescharacteristic, complemented
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×#239—21no—
236C2×D3×Q8C2311yescharacteristic
237C2×#237—21no—
238C2×#237C2311yescharacteristic
239C2×#235—21no—
240C2×#235C2311yescharacteristic
241C3×C4⋊Q8—21no—
242C3×C4⋊Q8C2311yescharacteristic
243C3×C4⋊Q8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×#126—21no—
246C3×#125—21no—
247C3×#125C2311yescharacteristic
248C3×#125C2311yescharacteristic
249C3×#124—21no—
250C3×#124C2311yescharacteristic
251C3×#123—21no—
252C3×C22⋊Q8—21no—
253C3×C22⋊Q8—21no—
254C3×C22⋊Q8—21no—
255C3×C22⋊Q8C2311yescharacteristic
256C3×#121C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×D4C2311yescharacteristic
259C3×#117C2311yescharacteristic
260C3×#117C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262#947C2311yescharacteristic
263#946—21no—
264#946—21no—
265#946—21no—
266#946—21no—
267#946—21no—
268#946C2311yescharacteristic
269Q8×Dic3—21no—
270Q8×Dic3—21no—
271Q8×Dic3C2311yescharacteristic
272#944—21no—
273#944—21no—
274#944—21no—
275#944—21no—
276C2×#216C2311yescharacteristic
277C2×#216C2311yescharacteristic
278#940—21no—
279#940C2311yescharacteristic
280#939—21no—
281#938C2311yescharacteristic
282#935—21no—
283D4×Dic3C2311yescharacteristic
284C2×#214C2311yescharacteristic
285C2×#214C2311yescharacteristic
286#929—21no—
287C4×#67—21no—
288C4×#67—21no—
289C4×#67—21no—
290C4×#67C2311yescharacteristic
291C4×#67C2311yescharacteristic
292#926—21no—
293C2×C4⋊Dic3C2311yescharacteristic
294#924—21no—
295#924C2311yescharacteristic
296#924C2311yescharacteristic
297C2×Dic3⋊C4—21no—
298C2×#208C2311yescharacteristic
299C22×C3⋊C8C2311yescharacteristic
300C2×Dic12C2311yescharacteristic
301C2×Dic12C2311yescharacteristic
302C2×#204C2311yescharacteristic
303C2×#204C2311yescharacteristic
304C2×ΓL(1,𝔽25)C2311yescharacteristic
305C2×D3×C8C2311yescharacteristic
306C2×D3×C8C2311yescharacteristic
307C2×D3×C8C2311yescharacteristic
308#898—21no—
309#898—21no—
310#898—21no—
311#898—21no—
312#898D411yescharacteristic
313#897—21no—
314#897C2311yescharacteristic
315#897C2311yescharacteristic
316#897C2311yescharacteristic
317#897C2311yescharacteristic
318#896—21no—
319#896—21no—
320#896—21no—
321#896—21no—
322#896D411yescharacteristic
323#895C2311yescharacteristic
324#895C2311yescharacteristic
325#894—21no—
326#894—21no—
327#894—21no—
328#894—21no—
329#894D411yescharacteristic
330#893—21no—
331#893—21no—
332#892—21no—
333#892—21no—
334#892—21no—
335#892C2311yescharacteristic
336D3×C4⋊C4—21no—
337D3×C4⋊C4—21no—
338D3×C4⋊C4—21no—
339D3×C4⋊C4—21no—
340D3×C4⋊C4C2311yescharacteristic
341D3×C4⋊C4C2311yescharacteristic
342D3×C4⋊C4C2311yescharacteristic
343D3×C4⋊C4C2311yescharacteristic
344D3×C4⋊C4C2311yescharacteristic
345#890—21no—
346#890—21no—
347#890—21no—
348#890—21no—
349#890—21no—
350#890C2311yescharacteristic
351#890C2311yescharacteristic
352#890C2311yescharacteristic
353#889—21no—
354#889—21no—
355#889—21no—
356#889—21no—
357#889—21no—
358#889—21no—
359#889—21no—
360#889—21no—
361#889—21no—
362#889—21no—
363#889—21no—
364#889—21no—
365#889D411yescharacteristic
366#888—21no—
367#888—21no—
368#888C2311yescharacteristic
369#888C2311yescharacteristic
370#888C2311yescharacteristic
371#887—21no—
372#887—21no—
373#887—21no—
374#887C2311yescharacteristic
375#887C2311yescharacteristic
376#887C2311yescharacteristic
377#887C2311yescharacteristic
378#887C2311yescharacteristic
379#887C2311yescharacteristic
380#886—21no—
381#885—21no—
382#885—21no—
383#885—21no—
384#885—21no—
385#885D411yescharacteristic
386#884—21no—
387#884—21no—
388#884—21no—
389#884—21no—
390#884D411yescharacteristic
391#883—21no—
392#883—21no—
393#883—21no—
394#883—21no—
395#883D411yescharacteristic
396#67⋊C4—21no—
397#67⋊C4—21no—
398#67⋊C4—21no—
399#67⋊C4—21no—
400#67⋊C4—21no—
401#67⋊C4—21no—
402#67⋊C4—21no—
403#879—21no—
404#879—21no—
405#879—21no—
406#879—21no—
407#879D411yescharacteristic
408#878—21no—
409#878—21no—
410#878—21no—
411#877—21no—
412#876—21no—
413#875—21no—
414C4×D12C2311yescharacteristic
415C4×D12C2311yescharacteristic
416C4×D12C2311yescharacteristic
417#872—21no—
418#872—21no—
419#872C2311yescharacteristic
420C42×D3—21no—
421C42×D3C2311yescharacteristic
422#870—21no—
423#870—21no—
424#870C2311yescharacteristic
425#869C2311yescharacteristic
426C4×Dic6—21no—
427C4×Dic6C2311yescharacteristic
428C4×Dic6C2311yescharacteristic
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×#106C2311yescharacteristic
437C3×#106C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×C22⋊C8C2311yescharacteristic
451C3×C22⋊C8C2311yescharacteristic
452C3×#97C2311yescharacteristic
453C3×C4×C8C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#832C2311yescharacteristic
457#832C2311yescharacteristic
458#821C2311yescharacteristic
459#821C2311yescharacteristic
460(C2×D3)⋊C8C2311yescharacteristic
461(C2×D3)⋊C8C2311yescharacteristic
462(C2×D3)⋊C8C2311yescharacteristic
463(C2×D3)⋊C8C2311yescharacteristic
464#818C2311yescharacteristic
465#818C2311yescharacteristic
466#817C2311yescharacteristic
467#817C2311yescharacteristic
468#816C2311yescharacteristic
469#816C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#815C2311yescharacteristic
475#815C2311yescharacteristic
476#815C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479Dic3⋊C8C2311yescharacteristic
480Dic3⋊C8C2311yescharacteristic
481C8×Dic3C2311yescharacteristic
482#810C2311yescharacteristic
483#810C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#810C2311yescharacteristic
487#810C2311yescharacteristic
488#810C2311yescharacteristic
489#810C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4⋊(C3⋊C8)C2311yescharacteristic
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—31no—
520#554—61no—
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—31no—
532#547—61no—
533#547—61no—
534#544—31no—
535#544—61no—
536#544C2×D311yescharacteristic
537#542—31no—
538#542—61no—
539#542—61no—
540#542C2×D311yescharacteristic
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#501C2×D311yescharacteristic
559#498—31no—
560#498C2×D311yescharacteristic
561#490—31no—
562#490—31no—
563#489—31no—
564#489C2×D311yescharacteristic
565#488—31no—
566#488C2×D311yescharacteristic
567#485—31no—
568#485C2×D311yescharacteristic
569#484—31no—
570#484—31no—
571#483—31no—
572#483—31no—
573#483—31no—
574#483—31no—
575#483—31no—
576#483C2×D311yescharacteristic
577#482—31no—
578#482C2×D311yescharacteristic
579#481—31no—
580#481—31no—
581#481—31no—
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#479C2×D311yescharacteristic
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478C2×D311yescharacteristic
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#465—31no—
626#465—31no—
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×SD16—31no—
657#435—31no—
658#435—31no—
659#435—31no—
660#435—31no—
661C8×D4—31no—
662C8×D4—31no—
663#433—31no—
664#433C2×D311yescharacteristic
665#432—31no—
666#428—31no—
667#428—31no—
668C2×#107—31no—
669C2×#106—31no—
670C2×#106—31no—
671C2×#106—31no—
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—
681C2×C3×Q8—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2411yescharacteristic
685C2×C3×D4—21no—
686C2×C3×D4C2411yescharacteristic
687C22×C3×C4—21no—
688C22×C3×C4—21no—
689C22×C3×C4C2411yescharacteristic
690C2×#67—21no—
691C2×#67—21no—
692C2×#67—21no—
693C2×#67—21no—
694C2×#67—21no—
695C2×#67C2×D411yescharacteristic
696C2×#67C2×D411yescharacteristic
697C22×Dic3—21no—
698C22×Dic3—21no—
699C22×Dic3—21no—
700#239—82no—
701D3×Q8—22no—
702D3×Q8—41no—
703#237—22no—
704#237—41no—
705#237—82no—
706#235—22no—
707#235—41no—
708#235—82no—
709C2×D12—21no—
710C2×D12—21no—
711C2×D12C2×D411yescharacteristic
712C2×D12C2411yescharacteristic
713C2×C4×D3—21no—
714C2×C4×D3—21no—
715C2×C4×D3—21no—
716C2×C4×D3—21no—
717C2×C4×D3—21no—
718C2×C4×D3—21no—
719C2×C4×D3—21no—
720C2×C4×D3—21no—
721C2×C4×D3—21no—
722C2×C4×D3C2×D411yescharacteristic
723C2×C4×D3C2×D411yescharacteristic
724C2×C4×D3C2411yescharacteristic
725C2×C4×D3C2411yescharacteristic
726C2×Dic6—21no—
727C2×Dic6—21no—
728C2×Dic6—21no—
729C2×Dic6—21no—
730C2×Dic6C2×D411yescharacteristic
731C2×Dic6C2411yescharacteristic
732C2×Dic6C2411yescharacteristic
733C2×Dic6C2411yescharacteristic
734C2×C3×C8C2411yescharacteristic
735C2×C3×C8C2411yescharacteristic
736C2×C3×C8C2411yescharacteristic
737C2×C3×C8C2411yescharacteristic
738C3×C4⋊C4—21no—
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
749C3×C4⋊C4C2×D411yescharacteristic
750C3×C4⋊C4C2411yescharacteristic
751C3×C4⋊C4C2411yescharacteristic
752C3×C4⋊C4C2411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C22⋊C4—21no—
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×C42—21no—
766C3×C42C2411yescharacteristic
767C3×C42C2411yescharacteristic
768#217—21no—
769#217—21no—
770#217—21no—
771#217—21no—
772#217C2×D411yescharacteristic
773#217C2×D411yescharacteristic
774#216—41no—
775#216—41no—
776#214—41no—
777#214—41no—
778(C2×D3)⋊C4—21no—
779(C2×D3)⋊C4—21no—
780(C2×D3)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
791(C2×D3)⋊C4C2×D411yescharacteristic
792(C2×D3)⋊C4C2×D411yescharacteristic
793(C2×D3)⋊C4C2×D411yescharacteristic
794(C2×D3)⋊C4C2×D411yescharacteristic
795(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3—21no—
806C4⋊Dic3—21no—
807C4⋊Dic3C2×D411yescharacteristic
808C4⋊Dic3C2×D411yescharacteristic
809C4⋊Dic3C2411yescharacteristic
810C4⋊Dic3C2411yescharacteristic
811C4⋊Dic3C2411yescharacteristic
812C4⋊Dic3C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
840Dic3⋊C4C2×D411yescharacteristic
841Dic3⋊C4C2×D411yescharacteristic
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
844Dic3⋊C4C2×D411yescharacteristic
845C4×Dic3—21no—
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×Dic3C2×D411yescharacteristic
858C4×Dic3C2×D411yescharacteristic
859C4×Dic3C2411yescharacteristic
860C4×Dic3C2411yescharacteristic
861#208—41no—
862C2×C3⋊C8—41no—
863C2×C3⋊C8C2411yescharacteristic
864C2×C3⋊C8C2411yescharacteristic
865C2×C3⋊C8C2411yescharacteristic
866C2×C3⋊C8C2411yescharacteristic
867Dic12—22no—
868Dic12—22no—
869#204—41no—
870#204—41no—
871ΓL(1,𝔽25)—41no—
872D3×C8—41no—
873D3×C8—41no—
874D3×C8—41no—
875C2×#41—31no—
876C2×#41—31no—
877C2×#41—61no—
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×SD16—31no—
889C2×M16—31no—
890C2×M16—31no—
891C22×C8—31no—
892C22×C8—31no—
893C22×C8—31no—
894C22×C8—31no—
895C4⋊Q8—21no—
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⋊Q8C22×D311yescharacteristic
907C4⋊Q8C22×D311yescharacteristic
908C4⋊Q8C22×D311yescharacteristic
909#127—31no—
910#127—61no—
911#126—21no—
912#126—31no—
913#126—31no—
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—61no—
930#125—61no—
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#125C22×D311yescharacteristic
949#125C22×D311yescharacteristic
950#124—21no—
951#124—31no—
952#124—31no—
953#124—61no—
954#124—61no—
955#124—61no—
956#124—61no—
957#124—61no—
958#124C22×D311yescharacteristic
959#123—21no—
960#123—31no—
961#123—31no—
962#123—61no—
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—31no—
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⋊Q8—61no—
998C22⋊Q8C22×D311yescharacteristic
999#121—31no—
1000#121—31no—
1001#121—31no—
1002#121—31no—
1003#121—61no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121—61no—
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—31no—
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×D4—61no—
1046C4×D4C22×D311yescharacteristic
1047#117—31no—
1048#117—31no—
1049#117—61no—
1050#117—61no—
1051#117—61no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117C22×D311yescharacteristic
1057#117C22×D311yescharacteristic
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—31no—
1062C2×C4⋊C4—31no—
1063C2×C4⋊C4—31no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4—61no—
1067C2×C4⋊C4—61no—
1068C2×C4⋊C4—61no—
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#107C22×D311yescharacteristic
1079#107C22×D311yescharacteristic
1080#106—31no—
1081#106—31no—
1082#106—31no—
1083#106—31no—
1084#106—31no—
1085#106—31no—
1086#106—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
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⋊C8C22×D311yescharacteristic
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#103C22×D311yescharacteristic
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#102C22×D311yescharacteristic
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#97C22×D311yescharacteristic
1148C4×C8—31no—
1149C4×C8C22×D311yescharacteristic
1150C23×C3—21no—
1151C23×C3C22×D411yescharacteristic
1152C22×D3—21no—
1153C22×D3C22×D411yescharacteristic
1154C22×D3C22×D411yescharacteristic
1155C3×Q8—21no—
1156C3×Q8—21no—
1157C3×Q8—81no—
1158C3×Q8—81no—
1159C3×Q8—81no—
1160C3×D4—21no—
1161C3×D4—21no—
1162C3×D4—81no—
1163C2×C3×C4—21no—
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—81no—
1173C2×C3×C4—81no—
1174C2×C3×C4C22×D411yescharacteristic
1175C2×C3×C4C22×D411yescharacteristic
1176C2×C3×C4C22×D411yescharacteristic
1177C2×C3×C4C22×D411yescharacteristic
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C2511yescharacteristic
1180#67—22no—
1181#67—41no—
1182#67—42no—
1183#67—42no—
1184#67—42no—
1185#67—42no—
1186#67—81no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—42no—
1195C2×Dic3—81no—
1196C2×Dic3—81no—
1197C2×Dic3C22×D411yescharacteristic
1198C2×Dic3C22×D411yescharacteristic
1199C2×Dic3C22×D411yescharacteristic
1200C2×Dic3C22×D411yescharacteristic
1201C2×Dic3C22×D411yescharacteristic
1202C2×Dic3C22×D411yescharacteristic
1203D12—22no—
1204D12—21no—
1205D12—21no—
1206D12—42no—
1207D12—81no—
1208C4×D3—22no—
1209C4×D3—21no—
1210C4×D3—21no—
1211C4×D3—21no—
1212C4×D3—21no—
1213C4×D3—41no—
1214C4×D3—42no—
1215C4×D3—42no—
1216C4×D3—42no—
1217C4×D3—42no—
1218C4×D3—81no—
1219C4×D3—81no—
1220C4×D3—81no—
1221C4×D3—81no—
1222C4×D3—81no—
1223Dic6—21no—
1224Dic6—21no—
1225Dic6—21no—
1226Dic6—21no—
1227Dic6—21no—
1228Dic6—41no—
1229Dic6—42no—
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—121no—
1245#41—121no—
1246#41—242no—
1247#41—242no—
1248#41—242no—
1249C2×Q8—21no—
1250C2×Q8—21no—
1251C2×Q8—21no—
1252C2×Q8—31no—
1253C2×Q8—31no—
1254C2×Q8—31no—
1255C2×Q8—31no—
1256C2×Q8—61no—
1257C2×Q8—61no—
1258C2×Q8—61no—
1259C2×Q8—61no—
1260C2×Q8—62no—
1261C2×Q8—121no—
1262C2×Q8C23×D311yescharacteristic
1263C2×D4—21no—
1264C2×D4—31no—
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×D4—61no—
1275C2×D4C23×D311yescharacteristic
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—61no—
1283C22×C4—61no—
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×C4—61no—
1294C22×C4C23×D311yescharacteristic
1295Q16—62no—
1296Q16—62no—
1297Q16—121no—
1298Q16—121no—
1299SD16—121no—
1300SD16—121no—
1301SD16—121no—
1302SD16—121no—
1303M16—121no—
1304M16—121no—
1305C2×C8—31no—
1306C2×C8—31no—
1307C2×C8—31no—
1308C2×C8—31no—
1309C2×C8—121no—
1310C2×C8—121no—
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—21no—
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⋊C4D3×D411yescharacteristic
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—21no—
1390C22⋊C4—31no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—31no—
1395C22⋊C4—31no—
1396C22⋊C4—31no—
1397C22⋊C4—31no—
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—21no—
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—
1434C42C23×D311yescharacteristic
1435C42C23×D311yescharacteristic
1436C22×C3—21no—
1437C22×C3—21no—
1438C22×C3—21no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3C23×D411yescharacteristic
1443C2×D3—21no—
1444C2×D3—21no—
1445C2×D3—21no—
1446C2×D3—21no—
1447C2×D3—21no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3#57712yes—
1452C3×C4—21no—
1453C3×C4—21no—
1454C3×C4—21no—
1455C3×C4—21no—
1456C3×C4—21no—
1457C3×C4—41no—
1458C3×C4—41no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4C2×2−1+411yescharacteristic
1465C3×C4#58511yescharacteristic
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—31no—
1482C23—61no—
1483C23C2×D3×D411yescharacteristic
1484Q8—21no—
1485Q8—21no—
1486Q8—32no—
1487Q8—61no—
1488Q8—61no—
1489Q8—61no—
1490Q8—61no—
1491Q8—61no—
1492Q8—81no—
1493Q8—81no—
1494Q8—81no—
1495Q8—121no—
1496Q8—122no—
1497Q8—241no—
1498Q8—241no—
1499Q8—241no—
1500D4—21no—
1501D4—21no—
1502D4—62no—
1503D4—62no—
1504D4—61no—
1505D4—61no—
1506D4—81no—
1507D4—122no—
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—31no—
1525C2×C4—31no—
1526C2×C4—31no—
1527C2×C4—31no—
1528C2×C4—31no—
1529C2×C4—31no—
1530C2×C4—62no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—121no—
1545C2×C4—122no—
1546C2×C4—122no—
1547C2×C4—122no—
1548C2×C4—122no—
1549C2×C4—122no—
1550C2×C4—241no—
1551C2×C4—241no—
1552C2×C4—241no—
1553C2×C4—241no—
1554C2×C4—241no—
1555C2×C4—241no—
1556C2×C4—241no—
1557C2×C4C2×D3×D411yescharacteristic
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—41no—
1572C2×C3—81no—
1573C2×C3#348911yescharacteristic
1574C2×C3C2×#57711yescharacteristic
1575C2×C3#358611yescharacteristic
1576D3—22no—
1577D3—41no—
1578D3—81no—
1579C22—21no—
1580C22—21no—
1581C22—21no—
1582C22—32no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—61no—
1587C22—61no—
1588C22—61no—
1589C22—61no—
1590C22—61no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22C22×D3×D411yescharacteristic
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—61no—
1608C4—61no—
1609C4—62no—
1610C4—61no—
1611C4—61no—
1612C4—61no—
1613C4—61no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4D3×2−1+411yescharacteristic
1621C4#596811yescharacteristic
1622C3#6216911yescharacteristic, complemented, Sylow
1623C2—41no—
1624C2—62no—
1625C2—81no—
1626C2—121no—
1627C2—241no—
1628C2#8635611yescharacteristic
1629C2D3×#57711yescharacteristic
1630C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3244C2
socleC22×C3C23×D4
prime radical#86558C2
hypercenter#3244D3
hypocenterC3#62169
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
1. #86604C2semidirect
3. C3×#3244C2semidirect
4. #83476C2semidirect
5. #83468C2semidirect
6. #81990C2semidirect
7. #81967C2semidirect
8. #81906C2semidirect
9. #81899C2semidirect
10. #81701C2semidirect
11. #81673C2semidirect
12. #81662C2semidirect
13. #81654C2semidirect
14. #81534C2semidirect
15. #81524C2semidirect
16. #81437C2semidirect
17. #81433C2semidirect
18. #81409C2semidirect
19. #81390C2semidirect
20. #81332C2semidirect
21. #81320C2semidirect
22. #81264C2semidirect
23. D3×#479C2semidirect
24. #81174C2semidirect
25. #81145C2semidirect
26. #81070C2semidirect
27. #81063C2semidirect
28. #81020C2semidirect
29. #80998C2semidirect
30. #79385C2semidirect
31. #79379C2semidirect
226. #3244D3semidirect
1622. C3#62169semidirect

Maximal subgroups

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

subgroupindex
#866042
#865582
C3×#32442
#834762
#834682
#819902
#819672
#819062
#818992
#817012
#816732
#816622
#816542
#815342
#815242
#814372
#814332
#814092
#813902
#813322
#813202
#812642
D3×#4792
#811742
#811452
#810702
#810632
#810202
#809982
#793852
#793792
#621693