Finite Group Databasebeta

← #11692019

Subgroups — #11692019

Order 768.

1648 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86541C211yesmaximal, characteristic, complemented
2#85895C211yesmaximal, characteristic, complemented
3C3×#3124C211yesmaximal, characteristic, complemented
4#83468C211yesmaximal, characteristic, complemented
5#82560C211yesmaximal, characteristic, complemented
6#81479C211yesmaximal, characteristic, complemented
7#81465C211yesmaximal, characteristic, complemented
8#81295C211yesmaximal, characteristic, complemented
9#81292C211yesmaximal, characteristic, complemented
10#81116C211yesmaximal, characteristic, complemented
11#81114C211yesmaximal, characteristic, complemented
12#80968C211yesmaximal, characteristic, complemented
13#80964C211yesmaximal, characteristic, complemented
14#80579C211yesmaximal, characteristic, complemented
15#80576C211yesmaximal, characteristic, complemented
16#80511C211yesmaximal, characteristic, complemented
17#80506C211yesmaximal, characteristic, complemented
18#80254C211yesmaximal, characteristic, complemented
19#80248C211yesmaximal, characteristic, complemented
20#80108C211yesmaximal, characteristic, complemented
21#80107C211yesmaximal, characteristic, complemented
22#79808C211yesmaximal, characteristic, complemented
23#79803C211yesmaximal, characteristic, complemented
24#79761C211yesmaximal, characteristic, complemented
25#79755C211yesmaximal, characteristic, complemented
26#79741C211yesmaximal, characteristic, complemented
27#79702C211yesmaximal, characteristic, complemented
28#79610C211yesmaximal, characteristic, complemented
29#79577C211yesmaximal, characteristic, complemented
30#79379C211yesmaximal, characteristic, complemented
31#79363C211yesmaximal, characteristic, complemented
32#62160—31nomaximal, Sylow
33C3×#542C2211yescharacteristic
34C3×#520C2211yescharacteristic
35#5824C2211yescharacteristic
36#5824C2211yescharacteristic
37#5729C2211yescharacteristic
38#5728C2211yescharacteristic
39#5712—21no—
40#5702—21no—
41#5682—21no—
42#5682C2211yescharacteristic
43#5680C2211yescharacteristic
44#5669—21no—
45#5667—21no—
46#5650—21no—
47#5645—21no—
48#5642C2211yescharacteristic
49#5641C2211yescharacteristic
50#5625—21no—
51#5618C2211yescharacteristic
52#5614C2211yescharacteristic
53#5583C2211yescharacteristic
54#5581C2211yescharacteristic
55#5581C2211yescharacteristic
56#5578C2211yescharacteristic
57#5570C2211yescharacteristic
58#5567C2211yescharacteristic
59#5564—21no—
60#5563C2211yescharacteristic
61#5555C2211yescharacteristic
62#5546C2211yescharacteristic
63#5541—21no—
64#5540—21no—
65#5539C2211yescharacteristic
66#5539C2211yescharacteristic
67#5538—21no—
68C4×#237C2211yescharacteristic
69#5531—21no—
70#5531—21no—
71#5528C2211yescharacteristic
72#5519C2211yescharacteristic
73#5518C2211yescharacteristic
74#5515—21no—
75#5513C2211yescharacteristic
76#5511C2211yescharacteristic
77C2×#889—21no—
78C3×#484C2211yescharacteristic
79C3×#480C2211yescharacteristic
80C3×#477C2211yescharacteristic
81C3×#474C2211yescharacteristic
82C3×#464C2211yescharacteristic
83C3×#463C2211yescharacteristic
84C3×#452C2211yescharacteristic
85C3×#449C2211yescharacteristic
86C3×#440C2211yescharacteristic
87C3×#440C2211yescharacteristic
88C3×C4×Q16C2211yescharacteristic
89C3×C4×D8C2211yescharacteristic
90C3×#433C2211yescharacteristic
91#5233C2211yescharacteristic
92#5232C2211yescharacteristic
93#5188C2211yescharacteristic
94#5188C2211yescharacteristic
95#5182C2211yescharacteristic
96#5182C2211yescharacteristic
97#5174C2211yescharacteristic
98#5173C2211yescharacteristic
99#5173C2211yescharacteristic
100#5171C2211yescharacteristic
101#5164C2211yescharacteristic
102#5162C2211yescharacteristic
103#5162C2211yescharacteristic
104Dic3×SD16C2211yescharacteristic
105#5158C2211yescharacteristic
106#5158C2211yescharacteristic
107#5152C2211yescharacteristic
108#5152C2211yescharacteristic
109#5094C2211yescharacteristic
110#5091C2211yescharacteristic
111#5054C2211yescharacteristic
112#5054C2211yescharacteristic
113#5052C2211yescharacteristic
114#5051C2211yescharacteristic
115#5042C2211yescharacteristic
116#5041C2211yescharacteristic
117#5031C2211yescharacteristic
118#5022C2211yescharacteristic
119#5022C2211yescharacteristic
120#5022C2211yescharacteristic
121#5020C2211yescharacteristic
122#5020C2211yescharacteristic
123#5019C2211yescharacteristic
124#5009C2211yescharacteristic
125#5009C2211yescharacteristic
126#5009C2211yescharacteristic
127#5008C2211yescharacteristic
128#5008C2211yescharacteristic
129#4999C2211yescharacteristic
130#4964C2211yescharacteristic
131C2×#808C2211yescharacteristic
132#4888C2211yescharacteristic
133#4888C2211yescharacteristic
134#4888C2211yescharacteristic
135#4884C2211yescharacteristic
136#4881C2211yescharacteristic
137#4880C2211yescharacteristic
138#4880C2211yescharacteristic
139D3×#107C2211yescharacteristic
140#4878C2211yescharacteristic
141#4877C2211yescharacteristic
142#4877C2211yescharacteristic
143#4877C2211yescharacteristic
144#4876C2211yescharacteristic
145#4876C2211yescharacteristic
146#4876C2211yescharacteristic
147#4875C2211yescharacteristic
148#4851C2211yescharacteristic
149#4850C2211yescharacteristic
150#4840C2211yescharacteristic
151#4839C2211yescharacteristic
152#4835C2211yescharacteristic
153D3×C4⋊C8C2211yescharacteristic
154#4829C2211yescharacteristic
155#4829C2211yescharacteristic
156#4816C2211yescharacteristic
157#4815C2211yescharacteristic
158#4815C2211yescharacteristic
159#4815C2211yescharacteristic
160#4814C2211yescharacteristic
161#4813C2211yescharacteristic
162#4805C2211yescharacteristic
163#4805C2211yescharacteristic
164#4797C2211yescharacteristic
165#4797C2211yescharacteristic
166#4797C2211yescharacteristic
167#4796C2211yescharacteristic
168#4792C2211yescharacteristic
169#4791C2211yescharacteristic
170#4789C2211yescharacteristic
171#4789C2211yescharacteristic
172#4784C2211yescharacteristic
173#4778C2211yescharacteristic
174#4778C2211yescharacteristic
175#4777C2211yescharacteristic
176#4772C2211yescharacteristic
177#4772C2211yescharacteristic
178#4772C2211yescharacteristic
179#4771C2211yescharacteristic
180#4766C2211yescharacteristic
181#4766C2211yescharacteristic
182#4766C2211yescharacteristic
183#4763C2211yescharacteristic
184#4759C2211yescharacteristic
185#4759C2211yescharacteristic
186#4758C2211yescharacteristic
187#4757C2211yescharacteristic
188#4730C2211yescharacteristic
189#4728C2211yescharacteristic
190#4728C2211yescharacteristic
191#67⋊C8C2211yescharacteristic
192#4723C2211yescharacteristic
193#4723C2211yescharacteristic
194#4722C2211yescharacteristic
195#4721C2211yescharacteristic
196#4706C2211yescharacteristic
197#4703C2211yescharacteristic
198#4702C2211yescharacteristic
199#4701C2211yescharacteristic
200C8×D12C2211yescharacteristic
201#4683C2211yescharacteristic
202#4681C2211yescharacteristic
203#4679C2211yescharacteristic
204#3565—31no—
205#3515—31no—
206#3389—31no—
207#3388—31no—
208#3374—31no—
209#3372—31no—
210#3349—31no—
211#3348—31no—
212#3346—31no—
213#3344—31no—
214#3337—31no—
215#3336—31no—
216#3315—31no—
217#3315—31no—
218#3307—31no—
219#3307—31no—
220#3303—31no—
221#3302—31no—
222#3258—31no—
223#3258—31no—
224#3248—31no—
225#3242—31no—
226#3242—31no—
227#3237—31no—
228#3125—31no—
229#3124D311yescharacteristic, complemented
230#3111—31no—
231#3084—31no—
232#3083—31no—
233#3076—31no—
234#2992—31no—
235C2×C3×#41C2311yescharacteristic
236C2×#237C2311yescharacteristic
237C2×#237C2311yescharacteristic
238C2×C3×Q16C2311yescharacteristic
239C2×C3×SD16C2311yescharacteristic
240C2×C3×SD16C2311yescharacteristic
241C2×C3×D8C2311yescharacteristic
242C3×C4⋊Q8C2311yescharacteristic
243C3×#126—21no—
244C3×#124—21no—
245C3×#124C2311yescharacteristic
246C3×#123—21no—
247C3×C22⋊Q8—21no—
248C3×C22⋊Q8C2311yescharacteristic
249C3×#121C2311yescharacteristic
250C3×C4×Q8C2311yescharacteristic
251C3×C4×Q8C2311yescharacteristic
252C3×C4×Q8C2311yescharacteristic
253C3×C4×D4—21no—
254C3×C4×D4—21no—
255C3×C4×D4C2311yescharacteristic
256C3×C4×D4C2311yescharacteristic
257C3×C4×D4C2311yescharacteristic
258C3×#117—21no—
259C3×#117C2311yescharacteristic
260C2×C3×C4⋊C4—21no—
261C2×C3×C4⋊C4C2311yescharacteristic
262#946—21no—
263#946—21no—
264#946C2311yescharacteristic
265#946C2311yescharacteristic
266#946C2311yescharacteristic
267#946C2311yescharacteristic
268Q8×Dic3—21no—
269Q8×Dic3C2311yescharacteristic
270Q8×Dic3C2311yescharacteristic
271#944—21no—
272#944C2311yescharacteristic
273#944C2311yescharacteristic
274C2×#216C2311yescharacteristic
275C2×#216C2311yescharacteristic
276#939—21no—
277#939—21no—
278#939—21no—
279#938—21no—
280#938C2311yescharacteristic
281#938C2311yescharacteristic
282#935—21no—
283#935—21no—
284#935—21no—
285D4×Dic3—21no—
286D4×Dic3C2311yescharacteristic
287D4×Dic3C2311yescharacteristic
288D4×Dic3C2311yescharacteristic
289D4×Dic3C2311yescharacteristic
290C2×#214C2311yescharacteristic
291C2×#214C2311yescharacteristic
292#930—21no—
293#930—21no—
294#929—21no—
295#929—21no—
296#929—21no—
297C4×#67—21no—
298C4×#67—21no—
299C4×#67—21no—
300C4×#67C2311yescharacteristic
301C4×#67C2311yescharacteristic
302#926—21no—
303#926—21no—
304#926C2311yescharacteristic
305C2×C4⋊Dic3—21no—
306C2×C4⋊Dic3C2311yescharacteristic
307#924—21no—
308#924—21no—
309#924—21no—
310#924C2311yescharacteristic
311#924C2311yescharacteristic
312C2×Dic3⋊C4—21no—
313C2×Dic3⋊C4—21no—
314C2×Dic3⋊C4—21no—
315C2×Dic3⋊C4—21no—
316C2×Dic3⋊C4—21no—
317C2×C4×Dic3—21no—
318C2×#208C2311yescharacteristic
319C22×C3⋊C8C2311yescharacteristic
320C2×ΓL(1,𝔽25)C2311yescharacteristic
321C2×D3×C8C2311yescharacteristic
322C2×D3×C8C2311yescharacteristic
323C2×D3×C8C2311yescharacteristic
324#898—21no—
325#898—21no—
326#898—21no—
327#898—21no—
328#898D411yescharacteristic
329#897—21no—
330#897C2311yescharacteristic
331#897C2311yescharacteristic
332#896—21no—
333#896—21no—
334#896—21no—
335#896D411yescharacteristic
336#894—21no—
337#894—21no—
338#894D411yescharacteristic
339#892C2311yescharacteristic
340#892C2311yescharacteristic
341#892C2311yescharacteristic
342#892C2311yescharacteristic
343D3×C4⋊C4C2311yescharacteristic
344D3×C4⋊C4C2311yescharacteristic
345#890—21no—
346#890—21no—
347#890—21no—
348#890—21no—
349#890C2311yescharacteristic
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#889D411yescharacteristic
365#888—21no—
366#888C2311yescharacteristic
367#888C2311yescharacteristic
368#887—21no—
369#887—21no—
370#887C2311yescharacteristic
371#887C2311yescharacteristic
372#886—21no—
373#886—21no—
374#886—21no—
375#886—21no—
376#886—21no—
377#885—21no—
378#885—21no—
379#885—21no—
380#885—21no—
381#885D411yescharacteristic
382#884D411yescharacteristic
383#883—21no—
384#883D411yescharacteristic
385#67⋊C4—21no—
386#67⋊C4—21no—
387#67⋊C4—21no—
388#67⋊C4—21no—
389#879—21no—
390#879—21no—
391#879—21no—
392#879—21no—
393#879—21no—
394#879—21no—
395#879—21no—
396#879D411yescharacteristic
397#878—21no—
398#878—21no—
399#878—21no—
400#878—21no—
401#878—21no—
402#878—21no—
403#878—21no—
404#877—21no—
405#877—21no—
406#877—21no—
407#877—21no—
408#876—21no—
409#876—21no—
410#876—21no—
411C4×D12C2311yescharacteristic
412#872—21no—
413#872—21no—
414#872—21no—
415#872C2311yescharacteristic
416C42×D3C2311yescharacteristic
417#870—21no—
418#870—21no—
419#870C2311yescharacteristic
420#870C2311yescharacteristic
421#870C2311yescharacteristic
422#869—21no—
423#869C2311yescharacteristic
424#869C2311yescharacteristic
425#869C2311yescharacteristic
426C4×Dic6—21no—
427C4×Dic6—21no—
428C4×Dic6—21no—
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#107C2311yescharacteristic
435C3×#107C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#102C2311yescharacteristic
443C3×#102C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×C22⋊C8C2311yescharacteristic
447C3×C22⋊C8C2311yescharacteristic
448C3×#97C2311yescharacteristic
449C3×C4×C8C2311yescharacteristic
450#835C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#832C2311yescharacteristic
457#832C2311yescharacteristic
458#832C2311yescharacteristic
459#832C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462(C2×D3)⋊C8C2311yescharacteristic
463(C2×D3)⋊C8C2311yescharacteristic
464(C2×D3)⋊C8C2311yescharacteristic
465(C2×D3)⋊C8C2311yescharacteristic
466#818C2311yescharacteristic
467#818C2311yescharacteristic
468#818C2311yescharacteristic
469#818C2311yescharacteristic
470#817C2311yescharacteristic
471#817C2311yescharacteristic
472#817C2311yescharacteristic
473#817C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#816C2311yescharacteristic
480#816C2311yescharacteristic
481#816C2311yescharacteristic
482#815C2311yescharacteristic
483#815C2311yescharacteristic
484#815C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487Dic3⋊C8C2311yescharacteristic
488Dic3⋊C8C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
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#563—61no—
511#562—61no—
512#557—31no—
513#557—31no—
514#556—31no—
515#556—61no—
516#555—31no—
517#554—31no—
518#554—31no—
519#554—31no—
520#553—31no—
521#553—31no—
522#553—61no—
523#552—31no—
524#552—31no—
525#552—31no—
526#552—31no—
527#552—61no—
528#552—61no—
529#552—61no—
530#552—61no—
531#547—31no—
532#547—31no—
533#547—31no—
534#544—31no—
535#544—31no—
536#542—31no—
537#542—61no—
538#542—61no—
539#542C2×D311yescharacteristic
540#541—31no—
541#541—31no—
542#541—61no—
543#539—61no—
544#539—61no—
545#539—61no—
546#533—31no—
547#533—31no—
548#529—31no—
549#529—31no—
550#529—61no—
551C2×#125—61no—
552#520—31no—
553#520C2×D311yescharacteristic
554C4×#41—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#499—31no—
560#499—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#491—31no—
565#487—31no—
566#487—31no—
567#485—31no—
568#485—31no—
569#485—31no—
570#485—31no—
571#485—31no—
572#485—31no—
573#485—31no—
574#485—31no—
575#485—31no—
576#484—31no—
577#484—31no—
578#484C2×D311yescharacteristic
579#483—31no—
580#483—31no—
581#483—31no—
582#482—31no—
583#481—31no—
584#480C2×D311yescharacteristic
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#478—31no—
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478—31no—
601#477—31no—
602#477—31no—
603#477—31no—
604#477C2×D311yescharacteristic
605#476—31no—
606#476—31no—
607#475—31no—
608#475—31no—
609#475—31no—
610#475—31no—
611#475—31no—
612#474—31no—
613#474—31no—
614#474C2×D311yescharacteristic
615#470—31no—
616#470—31no—
617#468—31no—
618#468—31no—
619#467—31no—
620#467—31no—
621#467—31no—
622#467—31no—
623#465—31no—
624#465—31no—
625#465—31no—
626#465—31no—
627#464—31no—
628#464—31no—
629#464C2×D311yescharacteristic
630#463C2×D311yescharacteristic
631#462—31no—
632#462—31no—
633#462—31no—
634#461—31no—
635#461—31no—
636#461—31no—
637#452—31no—
638#452—31no—
639#452C2×D311yescharacteristic
640#449—31no—
641#449—31no—
642#449C2×D311yescharacteristic
643#446—31no—
644#446—31no—
645#442—31no—
646#442—31no—
647#441—31no—
648#441—31no—
649#440—31no—
650#440—31no—
651#440C2×D311yescharacteristic
652#440C2×D311yescharacteristic
653C4×Q16C2×D311yescharacteristic
654C4×SD16—31no—
655C4×SD16—31no—
656C4×D8C2×D311yescharacteristic
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—
668#427—31no—
669#427—31no—
670C2×#107—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—
679#416—31no—
680#416—31no—
681C3×#41—22no—
682C3×#41—41no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2411yescharacteristic
685C2×C3×Q8C2411yescharacteristic
686C2×C3×D4—21no—
687C2×C3×D4—21no—
688C2×C3×D4C2411yescharacteristic
689C2×C3×D4C2411yescharacteristic
690C22×C3×C4—21no—
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C22×C3×C4C2411yescharacteristic
696C2×#67—21no—
697C2×#67—21no—
698C2×#67—21no—
699C2×#67—21no—
700C2×#67C2×D411yescharacteristic
701C2×#67C2×D411yescharacteristic
702C22×Dic3—21no—
703C22×Dic3—21no—
704C22×Dic3—21no—
705C22×Dic3—21no—
706C22×Dic3—21no—
707C22×Dic3—21no—
708C22×Dic3—21no—
709#237—22no—
710#237—22no—
711#237—41no—
712#237—41no—
713C2×D12C2×D411yescharacteristic
714C2×C4×D3—21no—
715C2×C4×D3—21no—
716C2×C4×D3C2×D411yescharacteristic
717C2×C4×D3C2×D411yescharacteristic
718C2×C4×D3C2411yescharacteristic
719C2×C4×D3C2411yescharacteristic
720C2×Dic6—21no—
721C2×Dic6—21no—
722C2×Dic6—21no—
723C2×Dic6—21no—
724C2×Dic6C2×D411yescharacteristic
725C2×Dic6C2411yescharacteristic
726C2×Dic6C2411yescharacteristic
727C3×Q16—41no—
728C3×SD16—22no—
729C3×SD16—41no—
730C3×D8—22no—
731C2×C3×C8C2411yescharacteristic
732C2×C3×C8C2411yescharacteristic
733C2×C3×C8C2411yescharacteristic
734C2×C3×C8C2411yescharacteristic
735C3×C4⋊C4—21no—
736C3×C4⋊C4—21no—
737C3×C4⋊C4—21no—
738C3×C4⋊C4—21no—
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
741C3×C4⋊C4C2×D411yescharacteristic
742C3×C4⋊C4C2×D411yescharacteristic
743C3×C4⋊C4C2411yescharacteristic
744C3×C4⋊C4C2411yescharacteristic
745C3×C4⋊C4C2411yescharacteristic
746C3×C4⋊C4C2411yescharacteristic
747C3×C22⋊C4—21no—
748C3×C22⋊C4—21no—
749C3×C22⋊C4—21no—
750C3×C22⋊C4—21no—
751C3×C22⋊C4—21no—
752C3×C22⋊C4—21no—
753C3×C22⋊C4—21no—
754C3×C22⋊C4C2×D411yescharacteristic
755C3×C22⋊C4C2×D411yescharacteristic
756C3×C42—21no—
757C3×C42—21no—
758C3×C42—21no—
759C3×C42C2411yescharacteristic
760C3×C42C2411yescharacteristic
761#217—21no—
762#217—21no—
763#217—21no—
764#217—21no—
765#217—21no—
766#217—21no—
767#217—21no—
768#217—21no—
769#217—21no—
770#217C2×D411yescharacteristic
771#217C2×D411yescharacteristic
772#216—41no—
773#216—41no—
774#214—41no—
775#214—41no—
776(C2×D3)⋊C4—21no—
777(C2×D3)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
787(C2×D3)⋊C4C2×D411yescharacteristic
788(C2×D3)⋊C4C2×D411yescharacteristic
789(C2×D3)⋊C4C2×D411yescharacteristic
790(C2×D3)⋊C4C2×D411yescharacteristic
791(C2×D3)⋊C4C2×D411yescharacteristic
792C4⋊Dic3—21no—
793C4⋊Dic3—21no—
794C4⋊Dic3—21no—
795C4⋊Dic3—21no—
796C4⋊Dic3—21no—
797C4⋊Dic3—21no—
798C4⋊Dic3—21no—
799C4⋊Dic3—21no—
800C4⋊Dic3—21no—
801C4⋊Dic3—21no—
802C4⋊Dic3—21no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3C2×D411yescharacteristic
806C4⋊Dic3C2×D411yescharacteristic
807C4⋊Dic3C2411yescharacteristic
808C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4C2×D411yescharacteristic
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
844Dic3⋊C4C2×D411yescharacteristic
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847C4×Dic3—21no—
848C4×Dic3—21no—
849C4×Dic3—21no—
850C4×Dic3—21no—
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3C2×D411yescharacteristic
859C4×Dic3C2×D411yescharacteristic
860C4×Dic3C2411yescharacteristic
861C4×Dic3C2411yescharacteristic
862#208—41no—
863C2×C3⋊C8—41no—
864C2×C3⋊C8C2411yescharacteristic
865C2×C3⋊C8C2411yescharacteristic
866C2×C3⋊C8C2411yescharacteristic
867C2×C3⋊C8C2411yescharacteristic
868ΓL(1,𝔽25)—41no—
869D3×C8—41no—
870D3×C8—41no—
871D3×C8—41no—
872C2×#41—31no—
873C2×#41—31no—
874C2×#41C22×D311yescharacteristic
875C2×Q16—31no—
876C2×Q16—31no—
877C2×Q16C22×D311yescharacteristic
878C2×SD16—31no—
879C2×SD16—31no—
880C2×SD16C22×D311yescharacteristic
881C2×SD16C22×D311yescharacteristic
882C2×D8C22×D311yescharacteristic
883C2×M16—31no—
884C2×M16—31no—
885C22×C8—31no—
886C22×C8—31no—
887C22×C8—31no—
888C22×C8—31no—
889C4⋊Q8—31no—
890C4⋊Q8—31no—
891C4⋊Q8—31no—
892C4⋊Q8—31no—
893C4⋊Q8—31no—
894C4⋊Q8—31no—
895C4⋊Q8—31no—
896C4⋊Q8—61no—
897C4⋊Q8—61no—
898C4⋊Q8—61no—
899C4⋊Q8C22×D311yescharacteristic
900#126—21no—
901#126—31no—
902#126—31no—
903#126—61no—
904#126—61no—
905#126—61no—
906#126—61no—
907#126—61no—
908#126—61no—
909#126—61no—
910#126—61no—
911#126—61no—
912#126—61no—
913#126—61no—
914#126—61no—
915#126—61no—
916#126—61no—
917#125—31no—
918#125—31no—
919#125—31no—
920#125—31no—
921#125—31no—
922#125—31no—
923#125—31no—
924#125—31no—
925#125—61no—
926#125—61no—
927#125—61no—
928#125—61no—
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#124—21no—
943#124—31no—
944#124—61no—
945#124—61no—
946#124—61no—
947#124—61no—
948#124C22×D311yescharacteristic
949#123—21no—
950#123—31no—
951#123—31no—
952#123—61no—
953#123—61no—
954#123—61no—
955#123—61no—
956#123—61no—
957#123—61no—
958#123—61no—
959#123—61no—
960#123—61no—
961#123—61no—
962#123—61no—
963#123—61no—
964#123—61no—
965#123—61no—
966C22⋊Q8—21no—
967C22⋊Q8—31no—
968C22⋊Q8—31no—
969C22⋊Q8—31no—
970C22⋊Q8—31no—
971C22⋊Q8—31no—
972C22⋊Q8—31no—
973C22⋊Q8—31no—
974C22⋊Q8—31no—
975C22⋊Q8—31no—
976C22⋊Q8—61no—
977C22⋊Q8—61no—
978C22⋊Q8—61no—
979C22⋊Q8—61no—
980C22⋊Q8—61no—
981C22⋊Q8—61no—
982C22⋊Q8—61no—
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⋊Q8C22×D311yescharacteristic
993#121—31no—
994#121—31no—
995#121—31no—
996#121—61no—
997#121—61no—
998#121—61no—
999#121—61no—
1000#121—61no—
1001#121—61no—
1002#121C22×D311yescharacteristic
1003C4×Q8—31no—
1004C4×Q8—31no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
1008C4×Q8—31no—
1009C4×Q8—31no—
1010C4×Q8—61no—
1011C4×Q8—61no—
1012C4×Q8—61no—
1013C4×Q8—61no—
1014C4×Q8—61no—
1015C4×Q8—61no—
1016C4×Q8C22×D311yescharacteristic
1017C4×Q8C22×D311yescharacteristic
1018C4×Q8C22×D311yescharacteristic
1019C4×D4—21no—
1020C4×D4—21no—
1021C4×D4—31no—
1022C4×D4—31no—
1023C4×D4—31no—
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—61no—
1029C4×D4—61no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4—61no—
1033C4×D4—61no—
1034C4×D4—61no—
1035C4×D4—61no—
1036C4×D4C22×D311yescharacteristic
1037C4×D4C22×D311yescharacteristic
1038C4×D4C22×D311yescharacteristic
1039#117—21no—
1040#117—31no—
1041#117—31no—
1042#117—31no—
1043#117—31no—
1044#117—31no—
1045#117—31no—
1046#117—61no—
1047#117—61no—
1048#117—61no—
1049#117—61no—
1050#117—61no—
1051#117—61no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117C22×D311yescharacteristic
1056C2×C4⋊C4—21no—
1057C2×C4⋊C4—31no—
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—61no—
1061C2×C4⋊C4—61no—
1062C2×C4⋊C4—61no—
1063C2×C4⋊C4—61no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4C22×D311yescharacteristic
1067C2×C42—31no—
1068C2×C42—61no—
1069#107—31no—
1070#107—31no—
1071#107—31no—
1072#107—31no—
1073#107—31no—
1074#107—31no—
1075#107—31no—
1076#107—31no—
1077#107C22×D311yescharacteristic
1078#107C22×D311yescharacteristic
1079#107C22×D311yescharacteristic
1080#107C22×D311yescharacteristic
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#106—31no—
1091#106—31no—
1092#106—31no—
1093C4⋊C8—31no—
1094C4⋊C8—31no—
1095C4⋊C8—31no—
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8C22×D311yescharacteristic
1102C4⋊C8C22×D311yescharacteristic
1103#103—31no—
1104#103—31no—
1105#103—31no—
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103C22×D311yescharacteristic
1122#103C22×D311yescharacteristic
1123#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#102—31no—
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
1130#102—31no—
1131#102C22×D311yescharacteristic
1132#102C22×D311yescharacteristic
1133#102C22×D311yescharacteristic
1134#102C22×D311yescharacteristic
1135C22⋊C8—31no—
1136C22⋊C8—31no—
1137C22⋊C8—31no—
1138C22⋊C8—31no—
1139C22⋊C8C22×D311yescharacteristic
1140C22⋊C8C22×D311yescharacteristic
1141#97—31no—
1142#97—31no—
1143#97—31no—
1144#97C22×D311yescharacteristic
1145C4×C8—31no—
1146C4×C8C22×D311yescharacteristic
1147C23×C3—21no—
1148C23×C3—21no—
1149C23×C3C22×D411yescharacteristic
1150C22×D3C22×D411yescharacteristic
1151C22×D3C22×D411yescharacteristic
1152C3×Q8—21no—
1153C3×Q8—21no—
1154C3×Q8—21no—
1155C3×Q8—21no—
1156C3×Q8—81no—
1157C3×D4—21no—
1158C3×D4—21no—
1159C3×D4—21no—
1160C3×D4—42no—
1161C3×D4—81no—
1162C3×D42−1+412yes—
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—41no—
1183#67—41no—
1184#67—42no—
1185#67—42no—
1186#67—81no—
1187#67—81no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—42no—
1197C2×Dic3—42no—
1198C2×Dic3—42no—
1199C2×Dic3—81no—
1200C2×Dic3—81no—
1201C2×Dic3—81no—
1202C2×Dic3—81no—
1203C2×Dic3C22×D411yescharacteristic
1204C2×Dic3C22×D411yescharacteristic
1205C2×Dic3C22×D411yescharacteristic
1206C2×Dic3C22×D411yescharacteristic
1207C2×Dic3C22×D411yescharacteristic
1208C2×Dic3C22×D411yescharacteristic
1209D12—41no—
1210C4×D3—21no—
1211C4×D3—21no—
1212C4×D3—21no—
1213C4×D3—21no—
1214C4×D3—41no—
1215C4×D3—41no—
1216C4×D3—81no—
1217C4×D3—81no—
1218Dic6—21no—
1219Dic6—21no—
1220Dic6—21no—
1221Dic6—21no—
1222Dic6—41no—
1223Dic6—81no—
1224Dic6—81no—
1225Dic6—81no—
1226Dic6—81no—
1227C3×C8—21no—
1228C3×C8—21no—
1229C3×C8—21no—
1230C3×C8—21no—
1231C3⋊C8—21no—
1232C3⋊C8—21no—
1233C3⋊C8—21no—
1234C3⋊C8—21no—
1235#41—22no—
1236#41—41no—
1237#41—62no—
1238#41—62no—
1239#41—121no—
1240#41—121no—
1241C2×Q8—21no—
1242C2×Q8—31no—
1243C2×Q8—31no—
1244C2×Q8—31no—
1245C2×Q8—61no—
1246C2×Q8—61no—
1247C2×Q8—61no—
1248C2×Q8—61no—
1249C2×Q8C23×D311yescharacteristic
1250C2×Q8C23×D311yescharacteristic
1251C2×D4—21no—
1252C2×D4—21no—
1253C2×D4—31no—
1254C2×D4—31no—
1255C2×D4—31no—
1256C2×D4—61no—
1257C2×D4—61no—
1258C2×D4—61no—
1259C2×D4—61no—
1260C2×D4C23×D311yescharacteristic
1261C2×D4C23×D311yescharacteristic
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—61no—
1272C22×C4—61no—
1273C22×C4—61no—
1274C22×C4—61no—
1275C22×C4—61no—
1276C22×C4—61no—
1277C22×C4—61no—
1278C22×C4—61no—
1279C22×C4—61no—
1280C22×C4C23×D311yescharacteristic
1281Q16—41no—
1282Q16—121no—
1283Q16—121no—
1284SD16—22no—
1285SD16—41no—
1286SD16—121no—
1287SD16—121no—
1288D8—22no—
1289M16—121no—
1290M16—121no—
1291C2×C8—31no—
1292C2×C8—31no—
1293C2×C8—31no—
1294C2×C8—31no—
1295C2×C8—121no—
1296C2×C8—121no—
1297C2×C8—121no—
1298C2×C8—121no—
1299C2×C8C23×D311yescharacteristic
1300C2×C8C23×D311yescharacteristic
1301C2×C8C23×D311yescharacteristic
1302C2×C8C23×D311yescharacteristic
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—31no—
1310C4⋊C4—31no—
1311C4⋊C4—31no—
1312C4⋊C4—31no—
1313C4⋊C4—31no—
1314C4⋊C4—31no—
1315C4⋊C4—31no—
1316C4⋊C4—31no—
1317C4⋊C4—31no—
1318C4⋊C4—31no—
1319C4⋊C4—31no—
1320C4⋊C4—31no—
1321C4⋊C4—31no—
1322C4⋊C4—31no—
1323C4⋊C4—61no—
1324C4⋊C4—61no—
1325C4⋊C4—61no—
1326C4⋊C4—61no—
1327C4⋊C4—61no—
1328C4⋊C4—61no—
1329C4⋊C4—61no—
1330C4⋊C4—61no—
1331C4⋊C4—61no—
1332C4⋊C4—61no—
1333C4⋊C4—61no—
1334C4⋊C4—61no—
1335C4⋊C4—61no—
1336C4⋊C4—61no—
1337C4⋊C4—61no—
1338C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1365C4⋊C4D3×D411yescharacteristic
1366C4⋊C4C23×D311yescharacteristic
1367C4⋊C4C23×D311yescharacteristic
1368C4⋊C4C23×D311yescharacteristic
1369C4⋊C4C23×D311yescharacteristic
1370C22⋊C4—21no—
1371C22⋊C4—21no—
1372C22⋊C4—21no—
1373C22⋊C4—21no—
1374C22⋊C4—21no—
1375C22⋊C4—21no—
1376C22⋊C4—21no—
1377C22⋊C4—31no—
1378C22⋊C4—31no—
1379C22⋊C4—31no—
1380C22⋊C4—31no—
1381C22⋊C4—31no—
1382C22⋊C4—31no—
1383C22⋊C4—31no—
1384C22⋊C4—31no—
1385C22⋊C4—61no—
1386C22⋊C4—61no—
1387C22⋊C4—61no—
1388C22⋊C4—61no—
1389C22⋊C4—61no—
1390C22⋊C4—61no—
1391C22⋊C4—61no—
1392C22⋊C4—61no—
1393C22⋊C4—61no—
1394C22⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1405C22⋊C4D3×D411yescharacteristic
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—31no—
1410C42—31no—
1411C42—31no—
1412C42—31no—
1413C42—61no—
1414C42—61no—
1415C42—61no—
1416C42—61no—
1417C42—61no—
1418C42—61no—
1419C42—61no—
1420C42—61no—
1421C42—61no—
1422C42—61no—
1423C42—61no—
1424C42C23×D311yescharacteristic
1425C42C23×D311yescharacteristic
1426C22×C3—21no—
1427C22×C3—21no—
1428C22×C3—22no—
1429C22×C3—21no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3C23×D411yescharacteristic
1436C2×D3—21no—
1437C2×D3—21no—
1438C2×D3—21no—
1439C2×D3—21no—
1440C2×D3—21no—
1441C2×D3—21no—
1442C3×C4—21no—
1443C3×C4—21no—
1444C3×C4—21no—
1445C3×C4—21no—
1446C3×C4—21no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451C3×C4—41no—
1452C3×C4—41no—
1453C3×C4C2×2−1+411yescharacteristic
1454C3×C4#58511yescharacteristic
1455Dic3—21no—
1456Dic3—21no—
1457Dic3—21no—
1458Dic3—21no—
1459Dic3—21no—
1460Dic3—21no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469C23—21no—
1470C23—21no—
1471C23—31no—
1472C23—31no—
1473C23C2×D3×D411yescharacteristic
1474Q8—21no—
1475Q8—21no—
1476Q8—21no—
1477Q8—21no—
1478Q8—61no—
1479Q8—61no—
1480Q8—61no—
1481Q8—61no—
1482Q8—81no—
1483Q8—121no—
1484Q8—241no—
1485Q8—241no—
1486Q8—241no—
1487Q8—241no—
1488D4—21no—
1489D4—21no—
1490D4—21no—
1491D4—42no—
1492D4—81no—
1493D4—121no—
1494D4—121no—
1495D4—121no—
1496D4—122no—
1497D4—122no—
1498D4—241no—
1499D4—241no—
1500D4#101012yes—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—31no—
1510C2×C4—31no—
1511C2×C4—31no—
1512C2×C4—31no—
1513C2×C4—31no—
1514C2×C4—31no—
1515C2×C4—42no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—81no—
1529C2×C4—81no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—121no—
1533C2×C4—121no—
1534C2×C4—122no—
1535C2×C4—122no—
1536C2×C4—122no—
1537C2×C4—241no—
1538C2×C4—241no—
1539C2×C4—241no—
1540C2×C4—241no—
1541C2×C4—241no—
1542C2×C4—241no—
1543C2×C4C2×D3×D411yescharacteristic
1544C2×C4C2×D3×D411yescharacteristic
1545C2×C4C2×D3×D411yescharacteristic
1546C2×C4C2×D3×D411yescharacteristic
1547C2×C4C2×D3×D411yescharacteristic
1548C2×C4C24×D311yescharacteristic
1549C8—21no—
1550C8—21no—
1551C8—21no—
1552C8—21no—
1553C8—61no—
1554C8—61no—
1555C8—61no—
1556C8—61no—
1557C2×C3—41no—
1558C2×C3—42no—
1559C2×C3—81no—
1560C2×C3#348911yescharacteristic
1561C2×C3#358411yescharacteristic
1562C2×C3#358611yescharacteristic
1563D3—41no—
1564D3—41no—
1565C22—21no—
1566C22—22no—
1567C22—21no—
1568C22—21no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—61no—
1575C22—61no—
1576C22—61no—
1577C22—61no—
1578C22—61no—
1579C22—61no—
1580C22C22×D3×D411yescharacteristic
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—61no—
1593C4—61no—
1594C4—61no—
1595C4—61no—
1596C4—61no—
1597C4—61no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4C2×#101011yescharacteristic
1607C4#596411yescharacteristic
1608C3#6216011yescharacteristic, complemented, Sylow
1609C2—41no—
1610C2—42no—
1611C2—81no—
1612C2—121no—
1613C2—121no—
1614C2#8604211yescharacteristic
1615C2#8720311yescharacteristic
1616C2#8721111yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3124C2
socleC22×C3C23×D4
hypercenter#3124D3
hypocenterC3#62160
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #86541C2semidirect
2. #85895C2semidirect
3. C3×#3124C2semidirect
4. #83468C2semidirect
5. #82560C2semidirect
6. #81479C2semidirect
7. #81465C2semidirect
8. #81295C2semidirect
9. #81292C2semidirect
10. #81116C2semidirect
11. #81114C2semidirect
12. #80968C2semidirect
13. #80964C2semidirect
14. #80579C2semidirect
15. #80576C2semidirect
16. #80511C2semidirect
17. #80506C2semidirect
18. #80254C2semidirect
19. #80248C2semidirect
20. #80108C2semidirect
21. #80107C2semidirect
22. #79808C2semidirect
23. #79803C2semidirect
24. #79761C2semidirect
25. #79755C2semidirect
26. #79741C2semidirect
27. #79702C2semidirect
28. #79610C2semidirect
29. #79577C2semidirect
30. #79379C2semidirect
31. #79363C2semidirect
229. #3124D3semidirect
1608. C3#62160semidirect

Maximal subgroups

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

subgroupindex
#865412
#858952
C3×#31242
#834682
#825602
#814792
#814652
#812952
#812922
#811162
#811142
#809682
#809642
#805792
#805762
#805112
#805062
#802542
#802482
#801082
#801072
#798082
#798032
#797612
#797552
#797412
#797022
#796102
#795772
#793792
#793632
#621603