Finite Group Databasebeta

← #11675506

Subgroups — #11675506

Order 768.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87041C211yesmaximal, characteristic, complemented
2#87007C211yesmaximal, characteristic, complemented
3C3×#3369C211yesmaximal, characteristic, complemented
4#83704C211yesmaximal, characteristic, complemented
5#83669C211yesmaximal, characteristic, complemented
6#81683C211yesmaximal, characteristic, complemented
7#81681C211yesmaximal, characteristic, complemented
8#81676C211yesmaximal, characteristic, complemented
9#81674C211yesmaximal, characteristic, complemented
10#81620C211yesmaximal, characteristic, complemented
11#81599C211yesmaximal, characteristic, complemented
12#81063C211yesmaximal, characteristic, complemented
13#81052C211yesmaximal, characteristic, complemented
14#81037C211yesmaximal, characteristic, complemented
15#81014C211yesmaximal, characteristic, complemented
16D3×#475C211yesmaximal, characteristic, complemented
17#81005C211yesmaximal, characteristic, complemented
18#80603C211yesmaximal, characteristic, complemented
19#80597C211yesmaximal, characteristic
20#80582C211yesmaximal, characteristic, complemented
21#80581C211yesmaximal, characteristic, complemented
22#80479C211yesmaximal, characteristic, complemented
23#80466C211yesmaximal, characteristic, complemented
24#79974C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79832C211yesmaximal, characteristic, complemented
27#79829C211yesmaximal, characteristic, complemented
28#79817C211yesmaximal, characteristic, complemented
29#79815C211yesmaximal, characteristic, complemented
30#79650C211yesmaximal, characteristic, complemented
31#79624C211yesmaximal, characteristic, complemented
32#61346—31nomaximal, Sylow
33C3×Q82C2211yescharacteristic
34C3×#556C2211yescharacteristic
35C2×#919C2211yescharacteristic
36C2×#918C2211yescharacteristic
37C2×#916C2211yescharacteristic
38#5730—21no—
39#5730C2211yescharacteristic
40#5729—21no—
41#5729—21no—
42#5729C2211yescharacteristic
43#5729C2211yescharacteristic
44#5727—21no—
45#5727—21no—
46#5727C2211yescharacteristic
47#5727C2211yescharacteristic
48#5724C2211yescharacteristic
49D3×C4⋊Q8—21no—
50D3×C4⋊Q8C2211yescharacteristic
51#5721C2211yescharacteristic
52#5708—21no—
53#5707—21no—
54#5706—21no—
55#5702—21no—
56#5681C2211yescharacteristic
57#5675C2211yescharacteristic
58#5671C2211yescharacteristic
59#5668C2211yescharacteristic
60#5638—21no—
61#5636—21no—
62#5584C2211yescharacteristic
63#5579—21no—
64#5579C2211yescharacteristic
65#5578—21no—
66#5578C2211yescharacteristic
67#5574C2211yescharacteristic
68#5574C2211yescharacteristic
69#5574C2211yescharacteristic
70C4×#239C2211yescharacteristic
71C4×D3×Q8C2211yescharacteristic
72#5569C2211yescharacteristic
73#5569C2211yescharacteristic
74#5568C2211yescharacteristic
75#5567C2211yescharacteristic
76Q8×Dic6C2211yescharacteristic
77#5559C2211yescharacteristic
78#5546C2211yescharacteristic
79#5531—21no—
80#5528—21no—
81C3×#489C2211yescharacteristic
82C3×#489C2211yescharacteristic
83C3×#487C2211yescharacteristic
84C3×#476C2211yescharacteristic
85C3×#475C2211yescharacteristic
86C3×#475C2211yescharacteristic
87C3×#464C2211yescharacteristic
88C3×#464C2211yescharacteristic
89C3×#462C2211yescharacteristic
90C3×#446C2211yescharacteristic
91C3×#441C2211yescharacteristic
92C3×#441C2211yescharacteristic
93C3×C4×SD16C2211yescharacteristic
94#5185C2211yescharacteristic
95#5184C2211yescharacteristic
96#5182C2211yescharacteristic
97#5182C2211yescharacteristic
98#5182C2211yescharacteristic
99Dic3×Q16C2211yescharacteristic
100#5166C2211yescharacteristic
101#5163C2211yescharacteristic
102Dic3×SD16C2211yescharacteristic
103#5094C2211yescharacteristic
104#5094C2211yescharacteristic
105#5093C2211yescharacteristic
106#5089C2211yescharacteristic
107#5089C2211yescharacteristic
108#5084C2211yescharacteristic
109#5083C2211yescharacteristic
110#5082C2211yescharacteristic
111#5057C2211yescharacteristic
112#5057C2211yescharacteristic
113#5056C2211yescharacteristic
114#5055C2211yescharacteristic
115#5031C2211yescharacteristic
116#5030C2211yescharacteristic
117#5030C2211yescharacteristic
118#5028C2211yescharacteristic
119#5028C2211yescharacteristic
120#5026C2211yescharacteristic
121C4×#215C2211yescharacteristic
122C4×#215C2211yescharacteristic
123#5024C2211yescharacteristic
124#5022C2211yescharacteristic
125#5020C2211yescharacteristic
126#5014C2211yescharacteristic
127#5009C2211yescharacteristic
128#4871C2211yescharacteristic
129#4870C2211yescharacteristic
130#4869C2211yescharacteristic
131#4861C2211yescharacteristic
132D3×#106C2211yescharacteristic
133D3×#106C2211yescharacteristic
134#4857C2211yescharacteristic
135#4854C2211yescharacteristic
136#4854C2211yescharacteristic
137#4854C2211yescharacteristic
138#4852C2211yescharacteristic
139#4852C2211yescharacteristic
140#4851C2211yescharacteristic
141#4847C2211yescharacteristic
142#4844C2211yescharacteristic
143#4844C2211yescharacteristic
144#4841C2211yescharacteristic
145#4839C2211yescharacteristic
146#4839C2211yescharacteristic
147D3×C4⋊C8C2211yescharacteristic
148#4830C2211yescharacteristic
149#4829C2211yescharacteristic
150#4828C2211yescharacteristic
151#4828C2211yescharacteristic
152#4819C2211yescharacteristic
153#4818C2211yescharacteristic
154#4818C2211yescharacteristic
155#4818C2211yescharacteristic
156#4804C2211yescharacteristic
157#4803C2211yescharacteristic
158#4803C2211yescharacteristic
159#4803C2211yescharacteristic
160#4802C2211yescharacteristic
161D3×#103C2211yescharacteristic
162D3×#103C2211yescharacteristic
163#4800C2211yescharacteristic
164#4797C2211yescharacteristic
165#4797C2211yescharacteristic
166#4796C2211yescharacteristic
167#4794C2211yescharacteristic
168#4792C2211yescharacteristic
169#4792C2211yescharacteristic
170#4792C2211yescharacteristic
171#4792C2211yescharacteristic
172#4791C2211yescharacteristic
173#4791C2211yescharacteristic
174#4791C2211yescharacteristic
175#4790C2211yescharacteristic
176#4789C2211yescharacteristic
177#4788C2211yescharacteristic
178#4788C2211yescharacteristic
179#4788C2211yescharacteristic
180#4787C2211yescharacteristic
181#4786C2211yescharacteristic
182#4785C2211yescharacteristic
183#4772C2211yescharacteristic
184#4771C2211yescharacteristic
185#4771C2211yescharacteristic
186#4768C2211yescharacteristic
187#4766C2211yescharacteristic
188#4765C2211yescharacteristic
189#4761C2211yescharacteristic
190#4760C2211yescharacteristic
191#4760C2211yescharacteristic
192#4714C2211yescharacteristic
193#4711C2211yescharacteristic
194#4710C2211yescharacteristic
195#4708C2211yescharacteristic
196#4707C2211yescharacteristic
197#4703C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200#4697C2211yescharacteristic
201C4×#204C2211yescharacteristic
202#4689C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3507—31no—
205#3503—31no—
206#3376—31no—
207#3376—31no—
208#3376—31no—
209#3376—31no—
210#3374—31no—
211#3374—31no—
212#3373—31no—
213#3373—31no—
214#3369—31no—
215#3369—31no—
216#3369—31no—
217#3369D311yescharacteristic, complemented
218#3365—31no—
219#3365—31no—
220#3359—31no—
221#3359—31no—
222#3141—31no—
223#3137—31no—
224#3137—31no—
225#3084—31no—
226#3084—31no—
227C2×#475—31no—
228#3046—31no—
229#3046—31no—
230#3035—31no—
231#2962—31no—
232#2952—31no—
233#2952—31no—
234C4×#137—31no—
235C2×#239C2311yescharacteristic
236C2×#239C2311yescharacteristic
237C2×D3×Q8—21no—
238C2×D3×Q8—21no—
239C2×D3×Q8—21no—
240C2×D3×Q8C2311yescharacteristic
241C2×#237C2311yescharacteristic
242C2×C3×Q16C2311yescharacteristic
243C2×C3×Q16C2311yescharacteristic
244C2×C3×SD16C2311yescharacteristic
245C3×C4⋊Q8—21no—
246C3×C4⋊Q8—21no—
247C3×C4⋊Q8—21no—
248C3×C4⋊Q8C2311yescharacteristic
249C3×C4⋊Q8C2311yescharacteristic
250C3×C4⋊Q8C2311yescharacteristic
251C3×C4⋊Q8C2311yescharacteristic
252C3×#126—21no—
253C3×#126—21no—
254C3×#124C2311yescharacteristic
255C3×#124C2311yescharacteristic
256C3×C22⋊Q8—21no—
257C3×C4×Q8—21no—
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×Q8C2311yescharacteristic
262C3×C4×Q8C2311yescharacteristic
263C3×C4×Q8C2311yescharacteristic
264C3×C4×D4C2311yescharacteristic
265C3×#117—21no—
266#947C2311yescharacteristic
267#946—21no—
268#946—21no—
269#946—21no—
270#946—21no—
271#946—21no—
272#946—21no—
273#946—21no—
274#946—21no—
275#946D411yescharacteristic
276Q8×Dic3C2311yescharacteristic
277Q8×Dic3C2311yescharacteristic
278Q8×Dic3C2311yescharacteristic
279Q8×Dic3C2311yescharacteristic
280Q8×Dic3C2311yescharacteristic
281#944—21no—
282#944—21no—
283#944—21no—
284#944D411yescharacteristic
285#944C2311yescharacteristic
286#944C2311yescharacteristic
287#944C2311yescharacteristic
288C2×#216C2311yescharacteristic
289C2×#216C2311yescharacteristic
290C2×#215C2311yescharacteristic
291C2×#215C2311yescharacteristic
292C2×#215C2311yescharacteristic
293#940C2311yescharacteristic
294#936C2311yescharacteristic
295D4×Dic3C2311yescharacteristic
296C2×#213C2311yescharacteristic
297#929—21no—
298C4×#67—21no—
299C4×#67—21no—
300C2×Dic3⋊C4—21no—
301#919—24no—
302#918—24no—
303#916—24no—
304C2×D24C2311yescharacteristic
305C2×#204C2311yescharacteristic
306C2×#204C2311yescharacteristic
307C2×ΓL(1,𝔽25)C2311yescharacteristic
308C2×ΓL(1,𝔽25)C2311yescharacteristic
309C2×D3×C8C2311yescharacteristic
310C2×D3×C8C2311yescharacteristic
311#898—21no—
312#898—21no—
313#898—21no—
314#897—21no—
315#897D411yescharacteristic
316#896—21no—
317#896—21no—
318#896—21no—
319#896—21no—
320#896—21no—
321#896—21no—
322#896—21no—
323#896—21no—
324#896—21no—
325#896—21no—
326#896—21no—
327#896D411yescharacteristic
328#896D411yescharacteristic
329#894—21no—
330#894—21no—
331#893—21no—
332#893—21no—
333#893—21no—
334#893—21no—
335#893C2311yescharacteristic
336#893C2311yescharacteristic
337#893C2311yescharacteristic
338#893C2311yescharacteristic
339#892—21no—
340#892—21no—
341#892C2311yescharacteristic
342D3×C4⋊C4—21no—
343D3×C4⋊C4—21no—
344D3×C4⋊C4—21no—
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
352#890—21no—
353#890—21no—
354#890—21no—
355#890C2311yescharacteristic
356#890C2311yescharacteristic
357#889—21no—
358#889—21no—
359#889—21no—
360#889—21no—
361#889—21no—
362#889—21no—
363#889D411yescharacteristic
364#889D411yescharacteristic
365#888—21no—
366#888—21no—
367#888—21no—
368#888—21no—
369#888—21no—
370#888D411yescharacteristic
371#888C2311yescharacteristic
372#888C2311yescharacteristic
373#888C2311yescharacteristic
374#888C2311yescharacteristic
375#887—21no—
376#887—21no—
377#887C2311yescharacteristic
378#887C2311yescharacteristic
379#886—21no—
380#885—21no—
381#885—21no—
382#884—21no—
383#884—21no—
384#883—21no—
385#883—21no—
386#883—21no—
387#883—21no—
388#67⋊C4—21no—
389#67⋊C4—21no—
390#67⋊C4—21no—
391#67⋊C4—21no—
392#879—21no—
393#879—21no—
394#878—21no—
395#878—21no—
396#878—21no—
397#877—21no—
398#877—21no—
399#876—21no—
400#875C2311yescharacteristic
401#875C2311yescharacteristic
402C4×D12—21no—
403C4×D12—21no—
404C4×D12—21no—
405C4×D12—21no—
406C4×D12C2311yescharacteristic
407C4×D12C2311yescharacteristic
408C4×D12C2311yescharacteristic
409C4×D12C2311yescharacteristic
410#872—21no—
411#872—21no—
412#872—21no—
413#872—21no—
414#872C2311yescharacteristic
415#872C2311yescharacteristic
416C42×D3—21no—
417C42×D3—21no—
418C42×D3C2311yescharacteristic
419#870—21no—
420#870—21no—
421#870—21no—
422#870C2311yescharacteristic
423#870C2311yescharacteristic
424#869—21no—
425#869C2311yescharacteristic
426#869C2311yescharacteristic
427C4×Dic6—21no—
428C4×Dic6—21no—
429C4×Dic6—21no—
430C4×Dic6—21no—
431C4×Dic6—21no—
432C4×Dic6C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#106C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#103C2311yescharacteristic
449C3×#103C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#835C2311yescharacteristic
463#832C2311yescharacteristic
464#832C2311yescharacteristic
465#832C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469#821C2311yescharacteristic
470#818C2311yescharacteristic
471#817C2311yescharacteristic
472#817C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#815C2311yescharacteristic
480#815C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#810C2311yescharacteristic
497#809C2311yescharacteristic
498#809C2311yescharacteristic
499#809C2311yescharacteristic
500#809C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#808C2311yescharacteristic
505#808C2311yescharacteristic
506#807C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4⋊(C3⋊C8)C2311yescharacteristic
510#803C2311yescharacteristic
511#803C2311yescharacteristic
512C4×C3⋊C8C2311yescharacteristic
513C2×#137—31no—
514C2×#135—31no—
515C2×#135—31no—
516#559—31no—
517#559—31no—
518Q82—31no—
519Q82C2×D311yescharacteristic
520#557—31no—
521#557—31no—
522#557—31no—
523#557—31no—
524#556—31no—
525#556—31no—
526#556—31no—
527#556—61no—
528#556C2×D311yescharacteristic
529#554—31no—
530#554—31no—
531#554—61no—
532#554—61no—
533#554—61no—
534#552—61no—
535#552—61no—
536D4×Q8—31no—
537D4×Q8—31no—
538D4×Q8—61no—
539D4×Q8—61no—
540#544—31no—
541#544—31no—
542#544—61no—
543#544—61no—
544#539—61no—
545#539—61no—
546#536—31no—
547#536—31no—
548#533—31no—
549#533—61no—
550#532—31no—
551C2×C4⋊Q8—31no—
552C2×C4⋊Q8—61no—
553#529—61no—
554#529—61no—
555#520—31no—
556#520—31no—
557#520—31no—
558#520—31no—
559C4×#41—31no—
560C2×C4×Q8—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#491—31no—
565#489—31no—
566#489—31no—
567#489—31no—
568#489—31no—
569#489—31no—
570#489—31no—
571#489C2×D311yescharacteristic
572#489C2×D311yescharacteristic
573#488—31no—
574#488—31no—
575#488—31no—
576#488—31no—
577#487—31no—
578#487—31no—
579#487—31no—
580#487—31no—
581#487—31no—
582#487C2×D311yescharacteristic
583#486—31no—
584#486—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#478—31no—
590#478—31no—
591#478—31no—
592#478—31no—
593#476—31no—
594#476—31no—
595#476—31no—
596#476C2×D311yescharacteristic
597#475—31no—
598#475—31no—
599#475—31no—
600#475—31no—
601#475—31no—
602#475—31no—
603#475—31no—
604#475—31no—
605#475—31no—
606#475—31no—
607#475C2×D311yescharacteristic
608#475C2×D311yescharacteristic
609#464—31no—
610#464—31no—
611#464—31no—
612#464—31no—
613#464C2×D311yescharacteristic
614#464C2×D311yescharacteristic
615#463—31no—
616#463—31no—
617#463—31no—
618#463—31no—
619#463—31no—
620#463—31no—
621#462—31no—
622#462—31no—
623#462—31no—
624#462—31no—
625#462C2×D311yescharacteristic
626#461—31no—
627#461—31no—
628#461—31no—
629#461—31no—
630#461—31no—
631#460—31no—
632#459—31no—
633#446—31no—
634#446—31no—
635#446—31no—
636#446—31no—
637#446—31no—
638#446C2×D311yescharacteristic
639C8×Q8—31no—
640C8×Q8—31no—
641#442—31no—
642#442—31no—
643#442—31no—
644#442—31no—
645#441—31no—
646#441—31no—
647#441—31no—
648#441—31no—
649#441C2×D311yescharacteristic
650#441C2×D311yescharacteristic
651#440—31no—
652#440—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657C4×SD16—31no—
658C4×SD16—31no—
659C4×SD16—31no—
660C4×SD16—31no—
661C4×SD16—31no—
662C4×SD16—31no—
663C4×SD16—31no—
664C4×SD16C2×D311yescharacteristic
665#428—31no—
666C2×#106—31no—
667C2×#106—31no—
668#424—31no—
669#424—31no—
670C2×C4⋊C8—31no—
671#419—31no—
672#417—31no—
673#417—31no—
674#417—31no—
675#417—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#103—31no—
680C2×#103—31no—
681#405—31no—
682#405—31no—
683C4×M16—31no—
684C2×C3×Q8—21no—
685C2×C3×Q8—21no—
686C2×C3×Q8—21no—
687C2×C3×Q8C2×D411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×Q8C2411yescharacteristic
691C2×C3×D4C2411yescharacteristic
692C22×C3×C4—21no—
693C2×#67—21no—
694C2×#67—21no—
695C2×#67—21no—
696C22×Dic3—21no—
697C22×Dic3—21no—
698#239—22no—
699#239—22no—
700#239—22no—
701#239#4114yes—
702D3×Q8—22no—
703D3×Q8—22no—
704D3×Q8—82no—
705D3×Q8—82no—
706D3×Q8—82no—
707#237—22no—
708#237—22no—
709C2×D12—21no—
710C2×D12—21no—
711C2×D12C2411yescharacteristic
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×D3—21no—
723C2×C4×D3—21no—
724C2×C4×D3—21no—
725C2×C4×D3—21no—
726C2×C4×D3—21no—
727C2×C4×D3C2×D411yescharacteristic
728C2×C4×D3C2×D411yescharacteristic
729C2×C4×D3C2411yescharacteristic
730C2×Dic6—21no—
731C2×Dic6—21no—
732C2×Dic6—21no—
733C2×Dic6—21no—
734C2×Dic6—21no—
735C2×Dic6—21no—
736C2×Dic6C2×D411yescharacteristic
737C2×Dic6C2×D411yescharacteristic
738C2×Dic6C2×D411yescharacteristic
739C2×Dic6C2411yescharacteristic
740C2×Dic6C2411yescharacteristic
741C3×Q16—22no—
742C3×Q16—22no—
743C3×SD16—22no—
744C2×C3×C8C2411yescharacteristic
745C2×C3×C8C2411yescharacteristic
746C2×C3×C8C2411yescharacteristic
747C2×C3×C8C2411yescharacteristic
748C3×C4⋊C4—21no—
749C3×C4⋊C4—21no—
750C3×C4⋊C4—21no—
751C3×C4⋊C4—21no—
752C3×C4⋊C4—21no—
753C3×C4⋊C4—21no—
754C3×C4⋊C4—21no—
755C3×C4⋊C4—21no—
756C3×C4⋊C4—21no—
757C3×C4⋊C4—21no—
758C3×C4⋊C4C2×D411yescharacteristic
759C3×C4⋊C4C2×D411yescharacteristic
760C3×C4⋊C4C2×D411yescharacteristic
761C3×C4⋊C4C2411yescharacteristic
762C3×C4⋊C4C2411yescharacteristic
763C3×C4⋊C4C2411yescharacteristic
764C3×C4⋊C4C2411yescharacteristic
765C3×C22⋊C4—21no—
766C3×C22⋊C4—21no—
767C3×C22⋊C4—21no—
768C3×C22⋊C4—21no—
769C3×C22⋊C4—21no—
770C3×C42—21no—
771C3×C42—21no—
772C3×C42—21no—
773C3×C42—21no—
774C3×C42—21no—
775C3×C42C2411yescharacteristic
776C3×C42C2411yescharacteristic
777C3×C42C2411yescharacteristic
778#217—21no—
779#217—21no—
780#217—21no—
781#216—22no—
782#216—22no—
783#215—22no—
784#215—22no—
785#215—22no—
786#213—22no—
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)⋊C4—21no—
794(C2×D3)⋊C4—21no—
795(C2×D3)⋊C4—21no—
796(C2×D3)⋊C4—21no—
797(C2×D3)⋊C4—21no—
798(C2×D3)⋊C4—21no—
799(C2×D3)⋊C4—21no—
800(C2×D3)⋊C4—21no—
801(C2×D3)⋊C4—21no—
802(C2×D3)⋊C4C2×D411yescharacteristic
803(C2×D3)⋊C4C2×D411yescharacteristic
804(C2×D3)⋊C4C2×D411yescharacteristic
805(C2×D3)⋊C4C2×D411yescharacteristic
806C4⋊Dic3—21no—
807C4⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3—21no—
810C4⋊Dic3—21no—
811C4⋊Dic3—21no—
812C4⋊Dic3—21no—
813C4⋊Dic3—21no—
814C4⋊Dic3—21no—
815C4⋊Dic3—21no—
816C4⋊Dic3C2×D411yescharacteristic
817C4⋊Dic3C2×D411yescharacteristic
818C4⋊Dic3C2×D411yescharacteristic
819C4⋊Dic3C2411yescharacteristic
820C4⋊Dic3C2411yescharacteristic
821C4⋊Dic3C2411yescharacteristic
822C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
850Dic3⋊C4C2×D411yescharacteristic
851Dic3⋊C4C2×D411yescharacteristic
852Dic3⋊C4C2×D411yescharacteristic
853Dic3⋊C4C2×D411yescharacteristic
854Dic3⋊C4C2×D411yescharacteristic
855Dic3⋊C4C2×D411yescharacteristic
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3—21no—
863C4×Dic3—21no—
864C4×Dic3—21no—
865C4×Dic3—21no—
866C4×Dic3C2×D411yescharacteristic
867C4×Dic3C2×D411yescharacteristic
868C4×Dic3C2411yescharacteristic
869C4×Dic3C2411yescharacteristic
870C4×Dic3C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872C2×C3⋊C8C2411yescharacteristic
873C2×C3⋊C8C2411yescharacteristic
874C2×C3⋊C8C2411yescharacteristic
875D24—22no—
876#204—22no—
877#204—22no—
878ΓL(1,𝔽25)—22no—
879ΓL(1,𝔽25)—22no—
880D3×C8—22no—
881D3×C8—22no—
882C2×#41—31no—
883C2×#41—31no—
884C2×#41—31no—
885C22×Q8—31no—
886C22×Q8—61no—
887C22×Q8—61no—
888C22×Q8—61no—
889#137—64no—
890#135—64no—
891#135—64no—
892C2×Q16—31no—
893C2×Q16—31no—
894C2×Q16C22×D311yescharacteristic
895C2×Q16C22×D311yescharacteristic
896C2×SD16—31no—
897C2×SD16—31no—
898C2×SD16—31no—
899C2×SD16—31no—
900C2×SD16—31no—
901C2×SD16C22×D311yescharacteristic
902C2×D8—31no—
903C2×D8—31no—
904C2×M16—31no—
905C2×M16—31no—
906C22×C8—31no—
907C22×C8—31no—
908C4⋊Q8—21no—
909C4⋊Q8—21no—
910C4⋊Q8—21no—
911C4⋊Q8—31no—
912C4⋊Q8—31no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—31no—
918C4⋊Q8—31no—
919C4⋊Q8—31no—
920C4⋊Q8—31no—
921C4⋊Q8—31no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8—61no—
928C4⋊Q8—61no—
929C4⋊Q8—61no—
930C4⋊Q8—61no—
931C4⋊Q8C22×D311yescharacteristic
932C4⋊Q8C22×D311yescharacteristic
933C4⋊Q8C22×D311yescharacteristic
934C4⋊Q8C22×D311yescharacteristic
935#127—31no—
936#126—21no—
937#126—21no—
938#126—61no—
939#126—61no—
940#126—61no—
941#126—61no—
942#126—61no—
943#126—61no—
944#125—31no—
945#125—31no—
946#125—31no—
947#125—31no—
948#125—31no—
949#125—31no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125—61no—
954#125—61no—
955#125—61no—
956#125—61no—
957#125—61no—
958#125—61no—
959#125—61no—
960#125—61no—
961#125—61no—
962#124—31no—
963#124—31no—
964#124—31no—
965#124—31no—
966#124—61no—
967#124—61no—
968#124C22×D311yescharacteristic
969#124C22×D311yescharacteristic
970#123—61no—
971#123—61no—
972#123—61no—
973#123—61no—
974#123—61no—
975#123—61no—
976#123—61no—
977#123—61no—
978C22⋊Q8—21no—
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⋊Q8—61no—
998C22⋊Q8—61no—
999C22⋊Q8—61no—
1000C22⋊Q8—61no—
1001C22⋊Q8—61no—
1002C22⋊Q8—61no—
1003C22⋊Q8—61no—
1004C22⋊Q8—61no—
1005C22⋊Q8—61no—
1006#121—61no—
1007#121—61no—
1008C4×Q8—21no—
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×Q8—61no—
1028C4×Q8C22×D311yescharacteristic
1029C4×Q8C22×D311yescharacteristic
1030C4×Q8C22×D311yescharacteristic
1031C4×Q8C22×D311yescharacteristic
1032C4×Q8C22×D311yescharacteristic
1033C4×Q8C22×D311yescharacteristic
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—31no—
1037C4×D4—31no—
1038C4×D4—31no—
1039C4×D4—31no—
1040C4×D4—31no—
1041C4×D4—31no—
1042C4×D4—31no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4—61no—
1046C4×D4—61no—
1047C4×D4—61no—
1048C4×D4—61no—
1049C4×D4—61no—
1050C4×D4—61no—
1051C4×D4—61no—
1052C4×D4—61no—
1053C4×D4—61no—
1054C4×D4—61no—
1055C4×D4—61no—
1056C4×D4—61no—
1057C4×D4C22×D311yescharacteristic
1058#117—21no—
1059#117—31no—
1060#117—31no—
1061#117—31no—
1062#117—61no—
1063#117—61no—
1064#117—61no—
1065#117—61no—
1066#117—61no—
1067#117—61no—
1068#117—61no—
1069#117—61no—
1070C2×C4⋊C4—31no—
1071C2×C4⋊C4—31no—
1072C2×C4⋊C4—31no—
1073C2×C4⋊C4—61no—
1074C2×C4⋊C4—61no—
1075C2×C4⋊C4—61no—
1076C2×C4⋊C4—61no—
1077C2×C4⋊C4—61no—
1078C2×C4⋊C4—61no—
1079C2×C4⋊C4—61no—
1080C2×C4⋊C4—61no—
1081C2×C42—31no—
1082C2×C42—61no—
1083C2×C42—61no—
1084#107—31no—
1085#107—31no—
1086#106—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106—31no—
1091#106—31no—
1092#106—31no—
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
1106C4⋊C8C22×D311yescharacteristic
1107C4⋊C8C22×D311yescharacteristic
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103—31no—
1123#103—31no—
1124#103—31no—
1125#103—31no—
1126#103—31no—
1127#103C22×D311yescharacteristic
1128#103C22×D311yescharacteristic
1129#103C22×D311yescharacteristic
1130#103C22×D311yescharacteristic
1131#103C22×D311yescharacteristic
1132#103C22×D311yescharacteristic
1133#103C22×D311yescharacteristic
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102—31no—
1138#102—31no—
1139#102—31no—
1140#102—31no—
1141#102—31no—
1142#102—31no—
1143#102—31no—
1144#102—31no—
1145#102C22×D311yescharacteristic
1146#102C22×D311yescharacteristic
1147#102C22×D311yescharacteristic
1148#97—31no—
1149#97—31no—
1150#97—31no—
1151#97—31no—
1152#97C22×D311yescharacteristic
1153#97C22×D311yescharacteristic
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8—31no—
1157C4×C8—31no—
1158C4×C8—31no—
1159C4×C8C22×D311yescharacteristic
1160C23×C3—21no—
1161C22×D3—21no—
1162C22×D3—21no—
1163C22×D3C22×D411yescharacteristic
1164C3×Q8—21no—
1165C3×Q8—21no—
1166C3×Q8—21no—
1167C3×Q8—21no—
1168C3×Q8—21no—
1169C3×Q8—41no—
1170C3×Q8—81no—
1171C3×Q8—81no—
1172C3×Q8—81no—
1173C3×Q8C2×#4112yes—
1174C3×D4—21no—
1175C3×D4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—81no—
1184C2×C3×C4C22×D411yescharacteristic
1185C2×C3×C4C22×D411yescharacteristic
1186C2×C3×C4C22×D411yescharacteristic
1187C2×C3×C4C22×D411yescharacteristic
1188C2×C3×C4C22×D411yescharacteristic
1189C2×C3×C4C22×D411yescharacteristic
1190C2×C3×C4C2511yescharacteristic
1191#67—42no—
1192#67—42no—
1193#67—81no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—42no—
1201C2×Dic3—81no—
1202C2×Dic3C22×D411yescharacteristic
1203C2×Dic3C22×D411yescharacteristic
1204C2×Dic3C22×D411yescharacteristic
1205C2×Dic3C22×D411yescharacteristic
1206C2×Dic3C22×D411yescharacteristic
1207C2×Dic3C22×D411yescharacteristic
1208C2×Dic3C22×D411yescharacteristic
1209D12—24no—
1210D12—21no—
1211D12—21no—
1212D12—21no—
1213D12—42no—
1214D12C2×#4112yes—
1215C4×D3—24no—
1216C4×D3—22no—
1217C4×D3—41no—
1218C4×D3—42no—
1219C4×D3—42no—
1220C4×D3—42no—
1221C4×D3—42no—
1222C4×D3—81no—
1223C4×D3—81no—
1224C4×D3—81no—
1225C4×D3—81no—
1226C4×D3—81no—
1227C4×D3—81no—
1228C4×D3—81no—
1229C4×D3—81no—
1230C4×D3—81no—
1231C4×D3C2×#4112yes—
1232C4×D32−1+412yes—
1233Dic6—22no—
1234Dic6—22no—
1235Dic6—21no—
1236Dic6—21no—
1237Dic6—21no—
1238Dic6—21no—
1239Dic6—41no—
1240Dic6—42no—
1241Dic6—42no—
1242Dic6—42no—
1243Dic6—81no—
1244Dic6—81no—
1245Dic6—81no—
1246C3×C8—21no—
1247C3×C8—21no—
1248C3×C8—21no—
1249C3×C8—21no—
1250C3⋊C8—21no—
1251C3⋊C8—21no—
1252C3⋊C8—21no—
1253C3⋊C8—21no—
1254#41—34no—
1255#41—62no—
1256#41—62no—
1257#41—62no—
1258#41—62no—
1259#41—62no—
1260C2×Q8—21no—
1261C2×Q8—21no—
1262C2×Q8—21no—
1263C2×Q8—31no—
1264C2×Q8—31no—
1265C2×Q8—31no—
1266C2×Q8—31no—
1267C2×Q8—31no—
1268C2×Q8—61no—
1269C2×Q8—61no—
1270C2×Q8—61no—
1271C2×Q8—61no—
1272C2×Q8—61no—
1273C2×Q8—62no—
1274C2×Q8—62no—
1275C2×Q8—61no—
1276C2×Q8—242no—
1277C2×Q8—242no—
1278C2×Q8—242no—
1279C2×Q8D3×D411yescharacteristic
1280C2×Q8C23×D311yescharacteristic
1281C2×Q8C23×D311yescharacteristic
1282C2×Q8C23×D311yescharacteristic
1283C2×D4—31no—
1284C2×D4—31no—
1285C2×D4—61no—
1286C2×D4—61no—
1287C2×D4—61no—
1288C2×D4—61no—
1289C2×D4—61no—
1290C2×D4C23×D311yescharacteristic
1291C22×C4—21no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—61no—
1296C22×C4—61no—
1297C22×C4—61no—
1298C22×C4—61no—
1299C22×C4—61no—
1300C22×C4—61no—
1301C22×C4—61no—
1302C22×C4—61no—
1303C22×C4—61no—
1304C22×C4—61no—
1305C22×C4—61no—
1306C22×C4—61no—
1307C22×C4—61no—
1308C22×C4—61no—
1309C22×C4—61no—
1310C22×C4—61no—
1311Q16—22no—
1312Q16—22no—
1313Q16—62no—
1314Q16—62no—
1315SD16—22no—
1316SD16—62no—
1317SD16—62no—
1318SD16—62no—
1319SD16—62no—
1320SD16—62no—
1321D8—62no—
1322D8—62no—
1323M16—62no—
1324M16—62no—
1325C2×C8—31no—
1326C2×C8—31no—
1327C2×C8—31no—
1328C2×C8—31no—
1329C2×C8—62no—
1330C2×C8—62no—
1331C2×C8C23×D311yescharacteristic
1332C2×C8C23×D311yescharacteristic
1333C2×C8C23×D311yescharacteristic
1334C2×C8C23×D311yescharacteristic
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—31no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—31no—
1349C4⋊C4—31no—
1350C4⋊C4—31no—
1351C4⋊C4—31no—
1352C4⋊C4—31no—
1353C4⋊C4—31no—
1354C4⋊C4—31no—
1355C4⋊C4—31no—
1356C4⋊C4—31no—
1357C4⋊C4—31no—
1358C4⋊C4—31no—
1359C4⋊C4—31no—
1360C4⋊C4—31no—
1361C4⋊C4—31no—
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⋊C4—61no—
1378C4⋊C4—61no—
1379C4⋊C4—61no—
1380C4⋊C4—61no—
1381C4⋊C4—61no—
1382C4⋊C4—61no—
1383C4⋊C4—61no—
1384C4⋊C4—61no—
1385C4⋊C4—61no—
1386C4⋊C4—61no—
1387C4⋊C4—61no—
1388C4⋊C4—61no—
1389C4⋊C4—61no—
1390C4⋊C4—61no—
1391C4⋊C4—61no—
1392C4⋊C4—61no—
1393C4⋊C4—61no—
1394C4⋊C4—61no—
1395C4⋊C4D3×D411yescharacteristic
1396C4⋊C4D3×D411yescharacteristic
1397C4⋊C4D3×D411yescharacteristic
1398C4⋊C4C23×D311yescharacteristic
1399C4⋊C4C23×D311yescharacteristic
1400C4⋊C4C23×D311yescharacteristic
1401C4⋊C4C23×D311yescharacteristic
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—31no—
1408C22⋊C4—31no—
1409C22⋊C4—31no—
1410C22⋊C4—31no—
1411C22⋊C4—61no—
1412C22⋊C4—61no—
1413C22⋊C4—61no—
1414C22⋊C4—61no—
1415C22⋊C4—61no—
1416C22⋊C4—61no—
1417C22⋊C4—61no—
1418C22⋊C4—61no—
1419C22⋊C4—61no—
1420C22⋊C4—61no—
1421C22⋊C4—61no—
1422C22⋊C4—61no—
1423C22⋊C4—61no—
1424C22⋊C4—61no—
1425C22⋊C4—61no—
1426C22⋊C4—61no—
1427C22⋊C4—61no—
1428C22⋊C4—61no—
1429C42—21no—
1430C42—21no—
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—31no—
1435C42—31no—
1436C42—31no—
1437C42—31no—
1438C42—31no—
1439C42—61no—
1440C42—61no—
1441C42—61no—
1442C42—61no—
1443C42—61no—
1444C42—61no—
1445C42—61no—
1446C42—61no—
1447C42—61no—
1448C42—61no—
1449C42C23×D311yescharacteristic
1450C42C23×D311yescharacteristic
1451C42C23×D311yescharacteristic
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3C23×D411yescharacteristic
1456C2×D3—21no—
1457C2×D3—21no—
1458C2×D3—22no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3#54812yes—
1465C3×C4—21no—
1466C3×C4—21no—
1467C3×C4—21no—
1468C3×C4—22no—
1469C3×C4—21no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—41no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4C22×#4111yescharacteristic
1479C3×C4C2×2−1+411yescharacteristic
1480Dic3—21no—
1481Dic3—21no—
1482Dic3—21no—
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—41no—
1486Dic3—41no—
1487Dic3—41no—
1488Dic3—41no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3#54812yes—
1492Dic3#57712yes—
1493C23—21no—
1494C23—31no—
1495C23—61no—
1496C23—61no—
1497Q8—21no—
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—41no—
1503Q8—62no—
1504Q8—62no—
1505Q8—61no—
1506Q8—61no—
1507Q8—61no—
1508Q8—61no—
1509Q8—81no—
1510Q8—81no—
1511Q8—81no—
1512Q8—121no—
1513Q8—122no—
1514Q8—122no—
1515Q8—122no—
1516Q8—241no—
1517Q8—241no—
1518Q8—241no—
1519Q8D3×#4112yes—
1520D4—21no—
1521D4—21no—
1522D4—32no—
1523D4—64no—
1524D4—61no—
1525D4—61no—
1526D4—61no—
1527D4—122no—
1528D4—122no—
1529D4—122no—
1530D4—241no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—31no—
1539C2×C4—31no—
1540C2×C4—32no—
1541C2×C4—32no—
1542C2×C4—31no—
1543C2×C4—31no—
1544C2×C4—31no—
1545C2×C4—31no—
1546C2×C4—31no—
1547C2×C4—62no—
1548C2×C4—64no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—81no—
1556C2×C4—121no—
1557C2×C4—122no—
1558C2×C4—122no—
1559C2×C4—122no—
1560C2×C4—122no—
1561C2×C4—122no—
1562C2×C4—241no—
1563C2×C4—241no—
1564C2×C4—241no—
1565C2×C4—241no—
1566C2×C4—241no—
1567C2×C4—241no—
1568C2×C4—241no—
1569C2×C4—241no—
1570C2×C4—241no—
1571C2×C4—241no—
1572C2×C4C2×D3×D411yescharacteristic
1573C2×C4C2×D3×D411yescharacteristic
1574C2×C4C2×D3×D411yescharacteristic
1575C2×C4C2×D3×D411yescharacteristic
1576C2×C4C2×D3×D411yescharacteristic
1577C2×C4C2×D3×D411yescharacteristic
1578C2×C4C24×D311yescharacteristic
1579C8—21no—
1580C8—21no—
1581C8—21no—
1582C8—21no—
1583C8—61no—
1584C8—61no—
1585C8—61no—
1586C8—61no—
1587C2×C3—81no—
1588C2×C3C2×#54811yescharacteristic
1589C2×C3C2×#57711yescharacteristic
1590C2×C3#358611yescharacteristic
1591D3—22no—
1592D3—42no—
1593D3—81no—
1594C22—32no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—61no—
1599C22—61no—
1600C22—62no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22C22×D3×D411yescharacteristic
1607C4—21no—
1608C4—21no—
1609C4—21no—
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—22no—
1614C4—32no—
1615C4—32no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—61no—
1623C4—61no—
1624C4—61no—
1625C4—61no—
1626C4—61no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4C2×D3×#4111yescharacteristic
1634C4D3×2−1+411yescharacteristic
1635C3#6134611yescharacteristic, complemented, Sylow
1636C2—62no—
1637C2—81no—
1638C2—122no—
1639C2—241no—
1640C2D3×#54811yescharacteristic
1641C2#8719711yescharacteristic
1642C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3369C2
socleC22×C3C23×D4
prime radical#80597C2
hypercenter#3369D3
hypocenterC3#61346
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3369

Complements

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

NH ≅ G/Ntype
1. #87041C2semidirect
2. #87007C2semidirect
3. C3×#3369C2semidirect
4. #83704C2semidirect
5. #83669C2semidirect
6. #81683C2semidirect
7. #81681C2semidirect
8. #81676C2semidirect
9. #81674C2semidirect
10. #81620C2semidirect
11. #81599C2semidirect
12. #81063C2semidirect
13. #81052C2semidirect
14. #81037C2semidirect
15. #81014C2semidirect
16. D3×#475C2semidirect
17. #81005C2semidirect
18. #80603C2semidirect
20. #80582C2semidirect
21. #80581C2semidirect
22. #80479C2semidirect
23. #80466C2semidirect
24. #79974C2semidirect
25. #79961C2semidirect
26. #79832C2semidirect
27. #79829C2semidirect
28. #79817C2semidirect
29. #79815C2semidirect
30. #79650C2semidirect
31. #79624C2semidirect
217. #3369D3semidirect
1635. C3#61346semidirect

Maximal subgroups

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

subgroupindex
#870412
#870072
C3×#33692
#837042
#836692
#816832
#816812
#816762
#816742
#816202
#815992
#810632
#810522
#810372
#810142
D3×#4752
#810052
#806032
#805972
#805822
#805812
#804792
#804662
#799742
#799612
#798322
#798292
#798172
#798152
#796502
#796242
#613463