Finite Group Databasebeta

← #11692233

Subgroups — #11692233

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#85908C211yesmaximal, characteristic
3C3×#3084C211yesmaximal, characteristic, complemented
4#83479C211yesmaximal, characteristic, complemented
5#82575C211yesmaximal, characteristic, complemented
6#81245C211yesmaximal, characteristic, complemented
7D3×#479C211yesmaximal, characteristic, complemented
8#81224C211yesmaximal, characteristic, complemented
9#81209C211yesmaximal, characteristic, complemented
10#81203C211yesmaximal, characteristic, complemented
11#81196C211yesmaximal, characteristic, complemented
12#81183C211yesmaximal, characteristic, complemented
13#81174C211yesmaximal, characteristic, complemented
14#81081C211yesmaximal, characteristic, complemented
15#81070C211yesmaximal, characteristic, complemented
16#81069C211yesmaximal, characteristic, complemented
17#81051C211yesmaximal, characteristic, complemented
18#81043C211yesmaximal, characteristic, complemented
19#81024C211yesmaximal, characteristic, complemented
20#81014C211yesmaximal, characteristic, complemented
21#80998C211yesmaximal, characteristic, complemented
22#79224C211yesmaximal, characteristic, complemented
23#79223C211yesmaximal, characteristic, complemented
24#79126C211yesmaximal, characteristic, complemented
25#79124C211yesmaximal, characteristic, complemented
26#79094C211yesmaximal, characteristic, complemented
27#79082C211yesmaximal, characteristic, complemented
28#78901C211yesmaximal, characteristic, complemented
29#78900C211yesmaximal, characteristic, complemented
30#78858C211yesmaximal, characteristic, complemented
31#78847C211yesmaximal, characteristic, complemented
32#62169—31nomaximal, Sylow
33C3×#544C2211yescharacteristic
34C3×#520C2211yescharacteristic
35#5834C2211yescharacteristic
36#5831C2211yescharacteristic
37#5731—21no—
38#5730C2211yescharacteristic
39#5729—21no—
40#5729C2211yescharacteristic
41#5728C2211yescharacteristic
42#5721C2211yescharacteristic
43#5698C2211yescharacteristic
44#5694C2211yescharacteristic
45#5693—21no—
46D3×#125C2211yescharacteristic
47C3⋊#564—21no—
48#5685C2211yescharacteristic
49#5646—21no—
50#5639—21no—
51#5638—21no—
52#5625—21no—
53#5576C2211yescharacteristic
54#5574C2211yescharacteristic
55C4×D3×Q8C2211yescharacteristic
56Q8×Dic6C2211yescharacteristic
57#5561—21no—
58#5561C2211yescharacteristic
59#5559—21no—
60#5559C2211yescharacteristic
61#5551—21no—
62#5551C2211yescharacteristic
63#5548—21no—
64#5548C2211yescharacteristic
65#5534—21no—
66#5534C2211yescharacteristic
67#5529C2211yescharacteristic
68#5529C2211yescharacteristic
69#5528—21no—
70#5528C2211yescharacteristic
71#5518C2211yescharacteristic
72#5513C2211yescharacteristic
73#5511—21no—
74#5511C2211yescharacteristic
75#5511C2211yescharacteristic
76#5507—21no—
77#5507C2211yescharacteristic
78C3×#479C2211yescharacteristic
79C3×#479C2211yescharacteristic
80C3×#478C2211yescharacteristic
81C3×#478C2211yescharacteristic
82C3×#476C2211yescharacteristic
83C3×#476C2211yescharacteristic
84C3×#475C2211yescharacteristic
85C3×#475C2211yescharacteristic
86C3×#428C2211yescharacteristic
87C2×C3×#106C2211yescharacteristic
88C3×#424C2211yescharacteristic
89C3×#417C2211yescharacteristic
90C3×#416C2211yescharacteristic
91#5239C2211yescharacteristic
92#5239C2211yescharacteristic
93#5137C2211yescharacteristic
94#5134C2211yescharacteristic
95#5127C2211yescharacteristic
96#5127C2211yescharacteristic
97#5116C2211yescharacteristic
98#5114C2211yescharacteristic
99#5111C2211yescharacteristic
100C8×#67C2211yescharacteristic
101#5094C2211yescharacteristic
102#5089C2211yescharacteristic
103#5084C2211yescharacteristic
104#5080C2211yescharacteristic
105#5068C2211yescharacteristic
106#5066C2211yescharacteristic
107#5064C2211yescharacteristic
108#5063C2211yescharacteristic
109#5031C2211yescharacteristic
110#5030C2211yescharacteristic
111C4×#216C2211yescharacteristic
112#5022C2211yescharacteristic
113#5019C2211yescharacteristic
114#5018C2211yescharacteristic
115C4×#214C2211yescharacteristic
116#5009C2211yescharacteristic
117#5003C2211yescharacteristic
118#5000C2211yescharacteristic
119#4996C2211yescharacteristic
120#4971C2211yescharacteristic
121#4971C2211yescharacteristic
122#4970C2211yescharacteristic
123#4968C2211yescharacteristic
124#4889C2211yescharacteristic
125#4887C2211yescharacteristic
126#4884C2211yescharacteristic
127#4882C2211yescharacteristic
128D3×#107C2211yescharacteristic
129#4877C2211yescharacteristic
130#4876C2211yescharacteristic
131#4875C2211yescharacteristic
132#4871C2211yescharacteristic
133#4870C2211yescharacteristic
134#4868C2211yescharacteristic
135#4867C2211yescharacteristic
136#4864C2211yescharacteristic
137#4864C2211yescharacteristic
138#4863C2211yescharacteristic
139#4862C2211yescharacteristic
140#4862C2211yescharacteristic
141#4862C2211yescharacteristic
142#4862C2211yescharacteristic
143#4861C2211yescharacteristic
144D3×#106C2211yescharacteristic
145D3×#106C2211yescharacteristic
146#4857C2211yescharacteristic
147#4856C2211yescharacteristic
148#4856C2211yescharacteristic
149#4855C2211yescharacteristic
150#4854C2211yescharacteristic
151#4854C2211yescharacteristic
152#4854C2211yescharacteristic
153#4853C2211yescharacteristic
154#4853C2211yescharacteristic
155#4852C2211yescharacteristic
156#4851C2211yescharacteristic
157#4850C2211yescharacteristic
158#4849C2211yescharacteristic
159#4847C2211yescharacteristic
160#4845C2211yescharacteristic
161#4845C2211yescharacteristic
162#4841C2211yescharacteristic
163#4840C2211yescharacteristic
164#4839C2211yescharacteristic
165#4836C2211yescharacteristic
166#4835C2211yescharacteristic
167#4834C2211yescharacteristic
168D3×C4⋊C8C2211yescharacteristic
169#4831C2211yescharacteristic
170#4829C2211yescharacteristic
171#4828C2211yescharacteristic
172#4809C2211yescharacteristic
173#4809C2211yescharacteristic
174#4808C2211yescharacteristic
175#4808C2211yescharacteristic
176#4804C2211yescharacteristic
177#4803C2211yescharacteristic
178D3×#103C2211yescharacteristic
179D3×#103C2211yescharacteristic
180#4799C2211yescharacteristic
181#4796C2211yescharacteristic
182#4796C2211yescharacteristic
183#4791C2211yescharacteristic
184#4790C2211yescharacteristic
185#4789C2211yescharacteristic
186#4789C2211yescharacteristic
187#4789C2211yescharacteristic
188#4784C2211yescharacteristic
189#4780C2211yescharacteristic
190#4778C2211yescharacteristic
191#4778C2211yescharacteristic
192#4778C2211yescharacteristic
193#4777C2211yescharacteristic
194#4777C2211yescharacteristic
195#4774C2211yescharacteristic
196#4768C2211yescharacteristic
197#4767C2211yescharacteristic
198#4767C2211yescharacteristic
199#4765C2211yescharacteristic
200#4764C2211yescharacteristic
201#4764C2211yescharacteristic
202#4762C2211yescharacteristic
203#4762C2211yescharacteristic
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#3244—31no—
227#3234—31no—
228#3120—31no—
229#3120—31no—
230#3113—31no—
231#3084—31no—
232#3084D311yescharacteristic, complemented
233C2×#479—31no—
234#2992—31no—
235C2×C3×#41C2311yescharacteristic
236C2×#239C2311yescharacteristic
237C2×D3×Q8C2311yescharacteristic
238C2×#235—21no—
239C2×#235—21no—
240C2×#235—21no—
241C2×C3×M16C2311yescharacteristic
242C22×C3×C8C2311yescharacteristic
243C3×C4⋊Q8—21no—
244C3×C4⋊Q8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×#125—21no—
247C3×#125C2311yescharacteristic
248C3×#125C2311yescharacteristic
249C3×C22⋊Q8—21no—
250C3×C22⋊Q8—21no—
251C3×C4×Q8C2311yescharacteristic
252C3×C4×Q8C2311yescharacteristic
253C3×C4×D4—21no—
254C3×C4×D4—21no—
255C3×C4×D4C2311yescharacteristic
256C3×C4×D4C2311yescharacteristic
257C3×#117—21no—
258C3×#117C2311yescharacteristic
259C3×#117C2311yescharacteristic
260C2×C3×C4⋊C4—21no—
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263#946—21no—
264#946—21no—
265#946—21no—
266#946—21no—
267Q8×Dic3—21no—
268Q8×Dic3—21no—
269Q8×Dic3C2311yescharacteristic
270Q8×Dic3C2311yescharacteristic
271#944—21no—
272#944—21no—
273C2×#216C2311yescharacteristic
274C2×#216C2311yescharacteristic
275#940—21no—
276#940C2311yescharacteristic
277#938—21no—
278#938—21no—
279#938C2311yescharacteristic
280#938C2311yescharacteristic
281#936—21no—
282#936C2311yescharacteristic
283C2×#214C2311yescharacteristic
284C2×#214C2311yescharacteristic
285#930—21no—
286#930C2311yescharacteristic
287#929—21no—
288#929—21no—
289#929—21no—
290#929—21no—
291C4×#67—21no—
292C4×#67—21no—
293C4×#67—21no—
294C4×#67—21no—
295C4×#67—21no—
296C4×#67—21no—
297C4×#67C2311yescharacteristic
298C4×#67C2311yescharacteristic
299#926—21no—
300#924—21no—
301#924—21no—
302#924—21no—
303#924—21no—
304#924—21no—
305#924C2311yescharacteristic
306#924C2311yescharacteristic
307#924C2311yescharacteristic
308C2×Dic12C2311yescharacteristic
309C2×Dic12C2311yescharacteristic
310C2×#204C2311yescharacteristic
311C2×#204C2311yescharacteristic
312C2×ΓL(1,𝔽25)C2311yescharacteristic
313C2×D3×C8C2311yescharacteristic
314C2×D3×C8C2311yescharacteristic
315C2×D3×C8C2311yescharacteristic
316#898—21no—
317#898—21no—
318#898—21no—
319#898—21no—
320#898—21no—
321#898D411yescharacteristic
322#897—21no—
323#897C2311yescharacteristic
324#897C2311yescharacteristic
325#897C2311yescharacteristic
326#897C2311yescharacteristic
327#897C2311yescharacteristic
328#896—21no—
329#896—21no—
330#896—21no—
331#896—21no—
332#896—21no—
333#896D411yescharacteristic
334#895—21no—
335#895C2311yescharacteristic
336#894—21no—
337#894—21no—
338#894D411yescharacteristic
339#893—21no—
340#893—21no—
341#893C2311yescharacteristic
342#892—21no—
343#892—21no—
344#892C2311yescharacteristic
345D3×C4⋊C4—21no—
346D3×C4⋊C4—21no—
347D3×C4⋊C4—21no—
348D3×C4⋊C4—21no—
349D3×C4⋊C4C2311yescharacteristic
350D3×C4⋊C4C2311yescharacteristic
351D3×C4⋊C4C2311yescharacteristic
352D3×C4⋊C4C2311yescharacteristic
353D3×C4⋊C4C2311yescharacteristic
354#890—21no—
355#890—21no—
356#890—21no—
357#890—21no—
358#890—21no—
359#890C2311yescharacteristic
360#890C2311yescharacteristic
361#890C2311yescharacteristic
362#889—21no—
363#889—21no—
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#889D411yescharacteristic
375#888—21no—
376#888—21no—
377#888—21no—
378#888C2311yescharacteristic
379#888C2311yescharacteristic
380#888C2311yescharacteristic
381#887—21no—
382#887—21no—
383#887C2311yescharacteristic
384#887C2311yescharacteristic
385#887C2311yescharacteristic
386#887C2311yescharacteristic
387#887C2311yescharacteristic
388#885—21no—
389#885—21no—
390#885—21no—
391#885—21no—
392#885D411yescharacteristic
393#884—21no—
394#884D411yescharacteristic
395#883—21no—
396#883—21no—
397#883—21no—
398#883—21no—
399#883—21no—
400#883—21no—
401#883D411yescharacteristic
402#879—21no—
403#879—21no—
404#879—21no—
405#879—21no—
406#879—21no—
407#879D411yescharacteristic
408#875—21no—
409#875C2311yescharacteristic
410C4×D12—21no—
411C4×D12—21no—
412C4×D12C2311yescharacteristic
413C4×D12C2311yescharacteristic
414#872—21no—
415#872—21no—
416#872—21no—
417#872C2311yescharacteristic
418C42×D3—21no—
419C42×D3C2311yescharacteristic
420#870—21no—
421#870—21no—
422#870C2311yescharacteristic
423#869—21no—
424#869C2311yescharacteristic
425#869C2311yescharacteristic
426C4×Dic6—21no—
427C4×Dic6—21no—
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×C4⋊C8C2311yescharacteristic
443C3×C4⋊C8C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#832C2311yescharacteristic
455#832C2311yescharacteristic
456#830C2311yescharacteristic
457#830C2311yescharacteristic
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
508#803C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
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—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#520C2×D311yescharacteristic
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#498—31no—
560#498—31no—
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#483—31no—
576#483—31no—
577#482—31no—
578#482—31no—
579#481—31no—
580#481—31no—
581#481—31no—
582#481—31no—
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#479C2×D311yescharacteristic
594#479C2×D311yescharacteristic
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478C2×D311yescharacteristic
600#478C2×D311yescharacteristic
601#477—31no—
602#477—31no—
603#476—31no—
604#476—31no—
605#476C2×D311yescharacteristic
606#476C2×D311yescharacteristic
607#475—31no—
608#475—31no—
609#475—31no—
610#475—31no—
611#475—31no—
612#475—31no—
613#475C2×D311yescharacteristic
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#433—31no—
665#432—31no—
666#428—31no—
667#428C2×D311yescharacteristic
668C2×#107—31no—
669C2×#106—31no—
670C2×#106—31no—
671C2×#106C2×D311yescharacteristic
672#424—31no—
673#424C2×D311yescharacteristic
674C2×C4⋊C8—31no—
675#417—31no—
676#417C2×D311yescharacteristic
677#416—31no—
678#416C2×D311yescharacteristic
679C2×#103—31no—
680C2×#103—31no—
681C3×#41—22no—
682C3×#41—41no—
683C2×C3×Q8—21no—
684C2×C3×Q8—21no—
685C2×C3×Q8C2411yescharacteristic
686C2×C3×D4—21no—
687C2×C3×D4C2411yescharacteristic
688C22×C3×C4—21no—
689C22×C3×C4—21no—
690C22×C3×C4—21no—
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4C2411yescharacteristic
694C2×#67—21no—
695C2×#67—21no—
696C2×#67—21no—
697C2×#67—21no—
698C2×#67—21no—
699C2×#67C2×D411yescharacteristic
700C2×#67C2×D411yescharacteristic
701#239—22no—
702#239—41no—
703D3×Q8—22no—
704D3×Q8—41no—
705#235—82no—
706#235—82no—
707#235—82no—
708C2×D12—21no—
709C2×D12—21no—
710C2×D12C2×D411yescharacteristic
711C2×D12C2411yescharacteristic
712C2×C4×D3—21no—
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×D3C2×D411yescharacteristic
722C2×C4×D3C2×D411yescharacteristic
723C2×C4×D3C2411yescharacteristic
724C2×C4×D3C2411yescharacteristic
725C2×Dic6—21no—
726C2×Dic6—21no—
727C2×Dic6—21no—
728C2×Dic6—21no—
729C2×Dic6—21no—
730C2×Dic6C2×D411yescharacteristic
731C2×Dic6C2411yescharacteristic
732C2×Dic6C2411yescharacteristic
733C2×Dic6C2411yescharacteristic
734C3×M16—41no—
735C2×C3×C8—41no—
736C2×C3×C8C2411yescharacteristic
737C2×C3×C8C2411yescharacteristic
738C2×C3×C8C2411yescharacteristic
739C2×C3×C8C2411yescharacteristic
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⋊C4—21no—
749C3×C4⋊C4—21no—
750C3×C4⋊C4C2×D411yescharacteristic
751C3×C4⋊C4C2×D411yescharacteristic
752C3×C4⋊C4C2411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C4⋊C4C2411yescharacteristic
758C3×C22⋊C4—21no—
759C3×C22⋊C4—21no—
760C3×C22⋊C4—21no—
761C3×C22⋊C4C2×D411yescharacteristic
762C3×C22⋊C4C2×D411yescharacteristic
763C3×C42—21no—
764C3×C42—21no—
765C3×C42—21no—
766C3×C42C2411yescharacteristic
767C3×C42C2411yescharacteristic
768#217—21no—
769#217—21no—
770#217—21no—
771#217—21no—
772#217—21no—
773#217—21no—
774#217—21no—
775#217C2×D411yescharacteristic
776#217C2×D411yescharacteristic
777#216—22no—
778#216—22no—
779#214—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)⋊C4—21no—
792(C2×D3)⋊C4—21no—
793(C2×D3)⋊C4C2×D411yescharacteristic
794(C2×D3)⋊C4C2×D411yescharacteristic
795(C2×D3)⋊C4C2×D411yescharacteristic
796(C2×D3)⋊C4C2×D411yescharacteristic
797(C2×D3)⋊C4C2×D411yescharacteristic
798(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3—21no—
810C4⋊Dic3—21no—
811C4⋊Dic3—21no—
812C4⋊Dic3C2×D411yescharacteristic
813C4⋊Dic3C2×D411yescharacteristic
814C4⋊Dic3C2411yescharacteristic
815C4⋊Dic3C2411yescharacteristic
816C4⋊Dic3C2411yescharacteristic
817C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
844Dic3⋊C4C2×D411yescharacteristic
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
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
863C2×C3⋊C8C2411yescharacteristic
864C2×C3⋊C8C2411yescharacteristic
865C2×C3⋊C8C2411yescharacteristic
866C2×C3⋊C8C2411yescharacteristic
867Dic12—41no—
868Dic12—41no—
869#204—41no—
870#204—41no—
871ΓL(1,𝔽25)—41no—
872D3×C8—41no—
873D3×C8—41no—
874D3×C8—41no—
875C2×#41—31no—
876C2×#41—61no—
877C2×#41—61no—
878C2×#41—61no—
879C2×#41C22×D311yescharacteristic
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×M16C22×D311yescharacteristic
891C22×C8—31no—
892C22×C8—31no—
893C22×C8—31no—
894C22×C8C22×D311yescharacteristic
895C4⋊Q8—21no—
896C4⋊Q8—31no—
897C4⋊Q8—31no—
898C4⋊Q8—31no—
899C4⋊Q8—31no—
900C4⋊Q8—31no—
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—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—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—31no—
960#123—31no—
961#123—61no—
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—31no—
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⋊Q8—61no—
999#121—31no—
1000#121—31no—
1001#121—31no—
1002#121—31no—
1003#121—31no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121—61no—
1008#121—61no—
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—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8C22×D311yescharacteristic
1027C4×Q8C22×D311yescharacteristic
1028C4×D4—21no—
1029C4×D4—21no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—31no—
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—21no—
1048#117—31no—
1049#117—31no—
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—21no—
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⋊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#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⋊C8C22×D311yescharacteristic
1103C4⋊C8C22×D311yescharacteristic
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⋊C8—31no—
1143C22⋊C8—31no—
1144#97—31no—
1145#97—31no—
1146#97—31no—
1147#97—31no—
1148C4×C8—31no—
1149C4×C8—31no—
1150C23×C3—21no—
1151C23×C3C22×D411yescharacteristic
1152C22×D3—21no—
1153C22×D3C22×D411yescharacteristic
1154C22×D3C22×D411yescharacteristic
1155C3×Q8—21no—
1156C3×Q8—81no—
1157C3×Q8—81no—
1158C3×Q82−1+412yes—
1159C3×D4—21no—
1160C3×D4—21no—
1161C3×D4—42no—
1162C2×C3×C4—21no—
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—42no—
1172C2×C3×C4—81no—
1173C2×C3×C4—81no—
1174C2×C3×C4—81no—
1175C2×C3×C4—81no—
1176C2×C3×C4C22×D411yescharacteristic
1177C2×C3×C4C22×D411yescharacteristic
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C22×D411yescharacteristic
1180C2×C3×C4C22×D411yescharacteristic
1181C2×C3×C4C2511yescharacteristic
1182#67—22no—
1183#67—41no—
1184#67—42no—
1185#67—42no—
1186#67—81no—
1187#67—81no—
1188#67—81no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3C22×D411yescharacteristic
1197C2×Dic3C22×D411yescharacteristic
1198C2×Dic3C22×D411yescharacteristic
1199C2×Dic3C22×D411yescharacteristic
1200C2×Dic3C22×D411yescharacteristic
1201C2×Dic3C22×D411yescharacteristic
1202D12—22no—
1203D12—21no—
1204D12—21no—
1205D12—42no—
1206D12—42no—
1207C4×D3—22no—
1208C4×D3—21no—
1209C4×D3—21no—
1210C4×D3—21no—
1211C4×D3—21no—
1212C4×D3—41no—
1213C4×D3—42no—
1214C4×D3—42no—
1215C4×D3—42no—
1216C4×D3—42no—
1217C4×D3—81no—
1218C4×D3—81no—
1219C4×D3—81no—
1220C4×D3—81no—
1221C4×D3—81no—
1222Dic6—21no—
1223Dic6—21no—
1224Dic6—21no—
1225Dic6—21no—
1226Dic6—21no—
1227Dic6—21no—
1228Dic6—41no—
1229Dic6—42no—
1230Dic6—81no—
1231Dic6—81no—
1232Dic6—81no—
1233Dic6—81no—
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—22no—
1243#41—41no—
1244#41—62no—
1245#41—121no—
1246#41—242no—
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—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—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—31no—
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—41no—
1304M16—121no—
1305C2×C8—31no—
1306C2×C8—31no—
1307C2×C8—31no—
1308C2×C8—31no—
1309C2×C8—41no—
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—31no—
1388C22⋊C4—31no—
1389C22⋊C4—31no—
1390C22⋊C4—31no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—31no—
1395C22⋊C4—61no—
1396C22⋊C4—61no—
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—21no—
1418C42—21no—
1419C42—31no—
1420C42—31no—
1421C42—31no—
1422C42—31no—
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—22no—
1455C3×C4—21no—
1456C3×C4—21no—
1457C3×C4—21no—
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—21no—
1469Dic3—21no—
1470Dic3—21no—
1471Dic3—21no—
1472Dic3—41no—
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—61no—
1486Q8—61no—
1487Q8—61no—
1488Q8—61no—
1489Q8—61no—
1490Q8—61no—
1491Q8—81no—
1492Q8—81no—
1493Q8—121no—
1494Q8—122no—
1495Q8—241no—
1496Q8—241no—
1497Q8—241no—
1498Q8—241no—
1499Q8#100712yes—
1500D4—21no—
1501D4—21no—
1502D4—42no—
1503D4—62no—
1504D4—62no—
1505D4—61no—
1506D4—61no—
1507D4—122no—
1508D4—122no—
1509D4—121no—
1510D4—122no—
1511D4—122no—
1512D4—241no—
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—42no—
1531C2×C4—62no—
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—61no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—81no—
1546C2×C4—81no—
1547C2×C4—121no—
1548C2×C4—122no—
1549C2×C4—122no—
1550C2×C4—122no—
1551C2×C4—122no—
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—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—61no—
1608C4—61no—
1609C4—61no—
1610C4—61no—
1611C4—61no—
1612C4—61no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4C2×#100711yescharacteristic
1621C4#596411yescharacteristic
1622C3#6216911yescharacteristic, complemented, Sylow
1623C2—41no—
1624C2—62no—
1625C2—81no—
1626C2—121no—
1627C2—241no—
1628C2#8598511yescharacteristic
1629C2D3×#57711yescharacteristic
1630C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3084C2
socleC22×C3C23×D4
prime radical#85908C2
hypercenter#3084D3
hypocenterC3#62169
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3084

Complements

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

NH ≅ G/Ntype
1. #86604C2semidirect
3. C3×#3084C2semidirect
4. #83479C2semidirect
5. #82575C2semidirect
6. #81245C2semidirect
7. D3×#479C2semidirect
8. #81224C2semidirect
9. #81209C2semidirect
10. #81203C2semidirect
11. #81196C2semidirect
12. #81183C2semidirect
13. #81174C2semidirect
14. #81081C2semidirect
15. #81070C2semidirect
16. #81069C2semidirect
17. #81051C2semidirect
18. #81043C2semidirect
19. #81024C2semidirect
20. #81014C2semidirect
21. #80998C2semidirect
22. #79224C2semidirect
23. #79223C2semidirect
24. #79126C2semidirect
25. #79124C2semidirect
26. #79094C2semidirect
27. #79082C2semidirect
28. #78901C2semidirect
29. #78900C2semidirect
30. #78858C2semidirect
31. #78847C2semidirect
232. #3084D3semidirect
1622. C3#62169semidirect

Maximal subgroups

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

subgroupindex
#866042
#859082
C3×#30842
#834792
#825752
#812452
D3×#4792
#812242
#812092
#812032
#811962
#811832
#811742
#810812
#810702
#810692
#810512
#810432
#810242
#810142
#809982
#792242
#792232
#791262
#791242
#790942
#790822
#789012
#789002
#788582
#788472
#621693