Finite Group Databasebeta

← #11701626

Subgroups — #11701626

Order 768.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86601C211yesmaximal, characteristic, complemented
2#86536C211yesmaximal, characteristic, complemented
3C3×#3243C211yesmaximal, characteristic, complemented
4#83471C211yesmaximal, characteristic, complemented
5#83457C211yesmaximal, characteristic, complemented
6#81988C211yesmaximal, characteristic, complemented
7#81959C211yesmaximal, characteristic, complemented
8#81943C211yesmaximal, characteristic, complemented
9#81935C211yesmaximal, characteristic, complemented
10#81689C211yesmaximal, characteristic, complemented
11#81683C211yesmaximal, characteristic, complemented
12#81643C211yesmaximal, characteristic, complemented
13#81639C211yesmaximal, characteristic, complemented
14#81555C211yesmaximal, characteristic, complemented
15#81547C211yesmaximal, characteristic, complemented
16#81490C211yesmaximal, characteristic, complemented
17#81487C211yesmaximal, characteristic, complemented
18#81411C211yesmaximal, characteristic, complemented
19#81407C211yesmaximal, characteristic, complemented
20#81307C211yesmaximal, characteristic, complemented
21#81306C211yesmaximal, characteristic, complemented
22#81252C211yesmaximal, characteristic, complemented
23#81219C211yesmaximal, characteristic, complemented
24#81190C211yesmaximal, characteristic, complemented
25#81150C211yesmaximal, characteristic, complemented
26#81138C211yesmaximal, characteristic, complemented
27#81121C211yesmaximal, characteristic, complemented
28#80985C211yesmaximal, characteristic, complemented
29#80956C211yesmaximal, characteristic, complemented
30#79393C211yesmaximal, characteristic, complemented
31#79369C211yesmaximal, characteristic, complemented
32#62619—31nomaximal, Sylow
33C3×#544C2211yescharacteristic
34C3×#542C2211yescharacteristic
35#5733C2211yescharacteristic
36#5733C2211yescharacteristic
37#5729—21no—
38#5728C2211yescharacteristic
39#5726C2211yescharacteristic
40#5724—21no—
41D3×C4⋊Q8C2211yescharacteristic
42#5722C2211yescharacteristic
43#5710—21no—
44#5707—21no—
45#5699—21no—
46#5694C2211yescharacteristic
47#5693—21no—
48#5691C2211yescharacteristic
49#5690C2211yescharacteristic
50#5689C2211yescharacteristic
51#5684—21no—
52#5681—21no—
53#5675C2211yescharacteristic
54#5668C2211yescharacteristic
55#5665—21no—
56#5663—21no—
57#5647—21no—
58#5646—21no—
59#5640—21no—
60#5635—21no—
61#5632C2211yescharacteristic
62#5631—21no—
63#5631C2211yescharacteristic
64#5628—21no—
65#5599C2211yescharacteristic
66#5598C2211yescharacteristic
67#5576C2211yescharacteristic
68#5567C2211yescharacteristic
69#5559C2211yescharacteristic
70#5555C2211yescharacteristic
71#5534C2211yescharacteristic
72#5532C2211yescharacteristic
73#5529C2211yescharacteristic
74#5528C2211yescharacteristic
75#5526C2211yescharacteristic
76#5511C2211yescharacteristic
77#5507C2211yescharacteristic
78C3×#501C2211yescharacteristic
79C3×#500C2211yescharacteristic
80C3×#489C2211yescharacteristic
81C3×#488C2211yescharacteristic
82C3×#485C2211yescharacteristic
83C3×#484C2211yescharacteristic
84C3×#482C2211yescharacteristic
85C3×#480C2211yescharacteristic
86C3×#479C2211yescharacteristic
87C3×#478C2211yescharacteristic
88C3×#477C2211yescharacteristic
89C3×#474C2211yescharacteristic
90C3×#433C2211yescharacteristic
91#5093C2211yescharacteristic
92#5093C2211yescharacteristic
93#5089C2211yescharacteristic
94#5089C2211yescharacteristic
95#5089C2211yescharacteristic
96#5078C2211yescharacteristic
97#5069C2211yescharacteristic
98#5069C2211yescharacteristic
99#5068C2211yescharacteristic
100#5068C2211yescharacteristic
101#5059C2211yescharacteristic
102#5055C2211yescharacteristic
103#5051C2211yescharacteristic
104#5049C2211yescharacteristic
105#5042C2211yescharacteristic
106#5038C2211yescharacteristic
107C4×#216C2211yescharacteristic
108#5026C2211yescharacteristic
109#5018C2211yescharacteristic
110C4×#213C2211yescharacteristic
111#5004C2211yescharacteristic
112#5002C2211yescharacteristic
113#4997C2211yescharacteristic
114C2×#810C2211yescharacteristic
115#4966C2211yescharacteristic
116#4890C2211yescharacteristic
117#4889C2211yescharacteristic
118#4889C2211yescharacteristic
119#4887C2211yescharacteristic
120#4886C2211yescharacteristic
121#4886C2211yescharacteristic
122#4886C2211yescharacteristic
123#4886C2211yescharacteristic
124#4884C2211yescharacteristic
125#4884C2211yescharacteristic
126#4884C2211yescharacteristic
127#4884C2211yescharacteristic
128#4884C2211yescharacteristic
129#4883C2211yescharacteristic
130#4882C2211yescharacteristic
131#4875C2211yescharacteristic
132#4875C2211yescharacteristic
133#4875C2211yescharacteristic
134#4875C2211yescharacteristic
135#4875C2211yescharacteristic
136#4873C2211yescharacteristic
137#4873C2211yescharacteristic
138#4873C2211yescharacteristic
139#4872C2211yescharacteristic
140#4871C2211yescharacteristic
141#4868C2211yescharacteristic
142#4867C2211yescharacteristic
143#4867C2211yescharacteristic
144#4866C2211yescharacteristic
145#4857C2211yescharacteristic
146#4852C2211yescharacteristic
147#4852C2211yescharacteristic
148#4849C2211yescharacteristic
149#4845C2211yescharacteristic
150#4844C2211yescharacteristic
151#4841C2211yescharacteristic
152#4838C2211yescharacteristic
153#4836C2211yescharacteristic
154#4830C2211yescharacteristic
155#4828C2211yescharacteristic
156#4818C2211yescharacteristic
157#4818C2211yescharacteristic
158#4810C2211yescharacteristic
159#4809C2211yescharacteristic
160#4808C2211yescharacteristic
161#4806C2211yescharacteristic
162#4803C2211yescharacteristic
163#4803C2211yescharacteristic
164#4802C2211yescharacteristic
165D3×#103C2211yescharacteristic
166#4797C2211yescharacteristic
167#4795C2211yescharacteristic
168#4795C2211yescharacteristic
169#4792C2211yescharacteristic
170#4792C2211yescharacteristic
171#4792C2211yescharacteristic
172#4787C2211yescharacteristic
173#4786C2211yescharacteristic
174#4783C2211yescharacteristic
175#4783C2211yescharacteristic
176#4781C2211yescharacteristic
177#4781C2211yescharacteristic
178#4772C2211yescharacteristic
179#4771C2211yescharacteristic
180#4771C2211yescharacteristic
181#4771C2211yescharacteristic
182#4768C2211yescharacteristic
183#4767C2211yescharacteristic
184#4765C2211yescharacteristic
185#4762C2211yescharacteristic
186#4760C2211yescharacteristic
187#4760C2211yescharacteristic
188#4739C2211yescharacteristic
189#4738C2211yescharacteristic
190#4734C2211yescharacteristic
191#4733C2211yescharacteristic
192#4730C2211yescharacteristic
193#4729C2211yescharacteristic
194#4729C2211yescharacteristic
195#67⋊C8C2211yescharacteristic
196#4715C2211yescharacteristic
197#4714C2211yescharacteristic
198#4709C2211yescharacteristic
199#4707C2211yescharacteristic
200#4696C2211yescharacteristic
201#4689C2211yescharacteristic
202#4685C2211yescharacteristic
203#4681C2211yescharacteristic
204#3554—31no—
205#3544—31no—
206#3375—31no—
207#3372—31no—
208#3363—31no—
209#3361—31no—
210#3333—31no—
211#3330—31no—
212#3330—31no—
213#3329—31no—
214#3327—31no—
215#3327—31no—
216#3315—31no—
217#3315—31no—
218#3308—31no—
219#3308—31no—
220#3305—31no—
221#3299—31no—
222#3243—31no—
223#3243D311yescharacteristic, complemented
224#3230—31no—
225#3225—31no—
226#3225—31no—
227#3212—31no—
228#3175—31no—
229#3175—31no—
230#3172—31no—
231#3141—31no—
232#3137—31no—
233#3137—31no—
234#2969—31no—
235C2×#239—21no—
236C2×#239C2311yescharacteristic
237C2×D3×Q8—21no—
238C2×D3×Q8C2311yescharacteristic
239C2×#237C2311yescharacteristic
240C2×#237C2311yescharacteristic
241C2×#235—21no—
242C2×#235C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C3×C4⋊Q8—21no—
245C3×C4⋊Q8C2311yescharacteristic
246C3×C4⋊Q8C2311yescharacteristic
247C3×C4⋊Q8C2311yescharacteristic
248C3×#126—21no—
249C3×#125—21no—
250C3×#125C2311yescharacteristic
251C3×#125C2311yescharacteristic
252C3×#124—21no—
253C3×#124C2311yescharacteristic
254C3×#123—21no—
255C3×C22⋊Q8—21no—
256C3×C22⋊Q8—21no—
257C3×C22⋊Q8—21no—
258C3×C22⋊Q8C2311yescharacteristic
259C3×#121C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×D4C2311yescharacteristic
262C3×#117C2311yescharacteristic
263C3×#117C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265#947—21no—
266#947—21no—
267#946—21no—
268#946—21no—
269#946—21no—
270#946—21no—
271Q8×Dic3—21no—
272#944—21no—
273#944—21no—
274#944—21no—
275#944C2311yescharacteristic
276#944C2311yescharacteristic
277C2×#216C2311yescharacteristic
278C2×#215C2311yescharacteristic
279#940—21no—
280#940C2311yescharacteristic
281#939—21no—
282#939—21no—
283#936C2311yescharacteristic
284D4×Dic3—21no—
285C2×#214C2311yescharacteristic
286C2×#213C2311yescharacteristic
287#930—21no—
288#930C2311yescharacteristic
289#929—21no—
290#929—21no—
291C4×#67—21no—
292C4×#67—21no—
293C4×#67C2311yescharacteristic
294C4×#67C2311yescharacteristic
295C2×C4⋊Dic3—21no—
296#924—21no—
297#924C2311yescharacteristic
298C2×#208C2311yescharacteristic
299C22×C3⋊C8C2311yescharacteristic
300C2×Dic12C2311yescharacteristic
301C2×Dic12C2311yescharacteristic
302C2×Dic12C2311yescharacteristic
303C2×D24C2311yescharacteristic
304C2×#204C2311yescharacteristic
305C2×#204C2311yescharacteristic
306C2×#204C2311yescharacteristic
307C2×#204C2311yescharacteristic
308C2×ΓL(1,𝔽25)C2311yescharacteristic
309C2×ΓL(1,𝔽25)C2311yescharacteristic
310C2×ΓL(1,𝔽25)C2311yescharacteristic
311C2×D3×C8C2311yescharacteristic
312#898—21no—
313#898—21no—
314#898—21no—
315#898—21no—
316#898—21no—
317#898D411yescharacteristic
318#897—21no—
319#897—21no—
320#897—21no—
321#897—21no—
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#896—21no—
334#896—21no—
335#896D411yescharacteristic
336#895—21no—
337#895C2311yescharacteristic
338#895C2311yescharacteristic
339#895C2311yescharacteristic
340#894—21no—
341#894—21no—
342#894—21no—
343#894—21no—
344#894—21no—
345#894—21no—
346#894—21no—
347#894—21no—
348#894D411yescharacteristic
349#893—21no—
350#893C2311yescharacteristic
351#893C2311yescharacteristic
352#893C2311yescharacteristic
353#892—21no—
354#892—21no—
355#892—21no—
356#892C2311yescharacteristic
357D3×C4⋊C4—21no—
358D3×C4⋊C4—21no—
359D3×C4⋊C4—21no—
360D3×C4⋊C4C2311yescharacteristic
361D3×C4⋊C4C2311yescharacteristic
362D3×C4⋊C4C2311yescharacteristic
363#890—21no—
364#890—21no—
365#890C2311yescharacteristic
366#889—21no—
367#889—21no—
368#889—21no—
369#889—21no—
370#889D411yescharacteristic
371#888—21no—
372#888—21no—
373#888—21no—
374#888—21no—
375#888C2311yescharacteristic
376#888C2311yescharacteristic
377#888C2311yescharacteristic
378#887—21no—
379#887C2311yescharacteristic
380#887C2311yescharacteristic
381#887C2311yescharacteristic
382#887C2311yescharacteristic
383#887C2311yescharacteristic
384#886—21no—
385#886—21no—
386#886—21no—
387#886—21no—
388#885—21no—
389#885—21no—
390#885—21no—
391#885—21no—
392#885D411yescharacteristic
393#884—21no—
394#884—21no—
395#884—21no—
396#884—21no—
397#884—21no—
398#884D411yescharacteristic
399#883—21no—
400#883—21no—
401#883—21no—
402#883—21no—
403#883—21no—
404#883—21no—
405#883D411yescharacteristic
406#67⋊C4—21no—
407#67⋊C4—21no—
408#67⋊C4—21no—
409#67⋊C4—21no—
410#879—21no—
411#879D411yescharacteristic
412#878—21no—
413#878—21no—
414#878—21no—
415#878—21no—
416#875—21no—
417#875—21no—
418#875C2311yescharacteristic
419#875C2311yescharacteristic
420#875C2311yescharacteristic
421C4×D12—21no—
422C4×D12C2311yescharacteristic
423C4×D12C2311yescharacteristic
424#872—21no—
425#872—21no—
426#872C2311yescharacteristic
427C42×D3C2311yescharacteristic
428#870—21no—
429#870—21no—
430#869C2311yescharacteristic
431#869C2311yescharacteristic
432#869C2311yescharacteristic
433C4×Dic6—21no—
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C3×#107C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#107C2311yescharacteristic
439C3×#107C2311yescharacteristic
440C3×#107C2311yescharacteristic
441C3×#107C2311yescharacteristic
442C3×#106C2311yescharacteristic
443C3×#106C2311yescharacteristic
444C3×C4⋊C8C2311yescharacteristic
445C3×C4⋊C8C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#103C2311yescharacteristic
449C3×#103C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×#102C2311yescharacteristic
454C3×C22⋊C8C2311yescharacteristic
455C3×C22⋊C8C2311yescharacteristic
456C3×#97C2311yescharacteristic
457C3×C4×C8C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462#821C2311yescharacteristic
463#821C2311yescharacteristic
464(C2×D3)⋊C8C2311yescharacteristic
465(C2×D3)⋊C8C2311yescharacteristic
466(C2×D3)⋊C8C2311yescharacteristic
467(C2×D3)⋊C8C2311yescharacteristic
468#816C2311yescharacteristic
469#816C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#815C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479C8×Dic3C2311yescharacteristic
480C8×Dic3C2311yescharacteristic
481C8×Dic3C2311yescharacteristic
482#810C2311yescharacteristic
483#810C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#810C2311yescharacteristic
487#810C2311yescharacteristic
488#810C2311yescharacteristic
489#810C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#809C2311yescharacteristic
497#809C2311yescharacteristic
498#809C2311yescharacteristic
499#809C2311yescharacteristic
500#809C2311yescharacteristic
501#809C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#803C2311yescharacteristic
507#803C2311yescharacteristic
508C4×C3⋊C8C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#563—61no—
512#562—61no—
513#562—61no—
514#559—31no—
515#559—61no—
516Q82—31no—
517#557—31no—
518#555—31no—
519#554—31no—
520#554—31no—
521#554—61no—
522#552—31no—
523#552—31no—
524#552—61no—
525#550—31no—
526D4×Q8—31no—
527#548—31no—
528#548—31no—
529#547—31no—
530#547—31no—
531#547—31no—
532#547—31no—
533#547—61no—
534#544—31no—
535#544—61no—
536#544C2×D311yescharacteristic
537#542—31no—
538#542—31no—
539#542—31no—
540#542—61no—
541#542—61no—
542#542C2×D311yescharacteristic
543#540—61no—
544#539—61no—
545#539—61no—
546#536—31no—
547#536—31no—
548#536—61no—
549#536—61no—
550#533—31no—
551#532—31no—
552C2×C4⋊Q8—31no—
553#529—31no—
554#529—31no—
555#501C2×D311yescharacteristic
556#500—31no—
557#500C2×D311yescharacteristic
558#497—31no—
559#495—31no—
560#495—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#489—31no—
565#489—31no—
566#489—31no—
567#489—31no—
568#489—31no—
569#489—31no—
570#489C2×D311yescharacteristic
571#488—31no—
572#488—31no—
573#488—31no—
574#488C2×D311yescharacteristic
575#487—31no—
576#487—31no—
577#487—31no—
578#487—31no—
579#487—31no—
580#487—31no—
581#486—31no—
582#486—31no—
583#485—31no—
584#485C2×D311yescharacteristic
585#484—31no—
586#484—31no—
587#484—31no—
588#484—31no—
589#484—31no—
590#484C2×D311yescharacteristic
591#482—31no—
592#482C2×D311yescharacteristic
593#480—31no—
594#480C2×D311yescharacteristic
595#479—31no—
596#479C2×D311yescharacteristic
597#478—31no—
598#478C2×D311yescharacteristic
599#477—31no—
600#477—31no—
601#477—31no—
602#477—31no—
603#477—31no—
604#477C2×D311yescharacteristic
605#474—31no—
606#474C2×D311yescharacteristic
607#470—31no—
608#470—31no—
609#468—31no—
610#468—31no—
611#468—31no—
612#468—31no—
613#468—31no—
614#468—31no—
615#467—31no—
616#467—31no—
617#466—31no—
618#466—31no—
619#464—31no—
620#464—31no—
621#463—31no—
622#463—31no—
623#462—31no—
624#462—31no—
625#462—31no—
626#461—31no—
627#461—31no—
628#461—31no—
629#460—31no—
630#459—31no—
631#452—31no—
632#452—31no—
633#452—31no—
634#452—31no—
635#451—31no—
636#451—31no—
637#449—31no—
638#449—31no—
639#449—31no—
640#449—31no—
641#448—31no—
642#448—31no—
643#446—31no—
644C8×Q8—31no—
645#440—31no—
646#440—31no—
647#440—31no—
648#440—31no—
649C4×Q16—31no—
650C4×Q16—31no—
651C4×Q16—31no—
652C4×Q16—31no—
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8—31no—
657#436—31no—
658#436—31no—
659#436—31no—
660#435—31no—
661#435—31no—
662C8×D4—31no—
663#433—31no—
664#433C2×D311yescharacteristic
665#431—31no—
666#419—31no—
667#419—31no—
668#417—31no—
669#417—31no—
670#417—31no—
671#417—31no—
672#417—31no—
673#417—31no—
674#416—31no—
675#416—31no—
676C2×#103—31no—
677C2×#103—31no—
678#405—31no—
679#405—31no—
680C4×M16—31no—
681C2×C3×Q8—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2411yescharacteristic
685C2×C3×D4—21no—
686C2×C3×D4C2411yescharacteristic
687C22×C3×C4—21no—
688C22×C3×C4—21no—
689C22×C3×C4C2411yescharacteristic
690C2×#67—21no—
691C2×#67—21no—
692C2×#67—21no—
693C2×#67—21no—
694C2×#67—21no—
695C2×#67—21no—
696C2×#67C2×D411yescharacteristic
697C2×#67C2×D411yescharacteristic
698C22×Dic3—21no—
699C22×Dic3—21no—
700C22×Dic3—21no—
701#239—41no—
702#239—41no—
703#239—82no—
704D3×Q8—41no—
705D3×Q8—41no—
706D3×Q8—82no—
707#237—41no—
708#237—41no—
709#237—41no—
710#237—41no—
711#235—41no—
712#235—41no—
713#235—82no—
714C2×D12—21no—
715C2×D12—21no—
716C2×D12—21no—
717C2×D12—21no—
718C2×D12C2×D411yescharacteristic
719C2×D12C2411yescharacteristic
720C2×D12C2411yescharacteristic
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×D3—21no—
728C2×C4×D3—21no—
729C2×C4×D3—21no—
730C2×C4×D3—21no—
731C2×C4×D3C2×D411yescharacteristic
732C2×C4×D3C2×D411yescharacteristic
733C2×C4×D3C2411yescharacteristic
734C2×C4×D3C2411yescharacteristic
735C2×Dic6—21no—
736C2×Dic6—21no—
737C2×Dic6—21no—
738C2×Dic6—21no—
739C2×Dic6—21no—
740C2×Dic6—21no—
741C2×Dic6—41no—
742C2×Dic6—41no—
743C2×Dic6C2×D411yescharacteristic
744C2×Dic6C2411yescharacteristic
745C2×Dic6C2411yescharacteristic
746C2×Dic6C2411yescharacteristic
747C2×Dic6C2411yescharacteristic
748C2×C3×C8C2411yescharacteristic
749C2×C3×C8C2411yescharacteristic
750C2×C3×C8C2411yescharacteristic
751C2×C3×C8C2411yescharacteristic
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⋊C4—21no—
759C3×C4⋊C4—21no—
760C3×C4⋊C4—21no—
761C3×C4⋊C4—21no—
762C3×C4⋊C4C2×D411yescharacteristic
763C3×C4⋊C4C2×D411yescharacteristic
764C3×C4⋊C4C2411yescharacteristic
765C3×C4⋊C4C2411yescharacteristic
766C3×C4⋊C4C2411yescharacteristic
767C3×C4⋊C4C2411yescharacteristic
768C3×C4⋊C4C2411yescharacteristic
769C3×C4⋊C4C2411yescharacteristic
770C3×C22⋊C4—21no—
771C3×C22⋊C4—21no—
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4—21no—
775C3×C22⋊C4—21no—
776C3×C22⋊C4C2×D411yescharacteristic
777C3×C22⋊C4C2×D411yescharacteristic
778C3×C42—21no—
779C3×C42—21no—
780C3×C42C2411yescharacteristic
781C3×C42C2411yescharacteristic
782#217—21no—
783#217—21no—
784#217—21no—
785#217C2×D411yescharacteristic
786#217C2×D411yescharacteristic
787#216—41no—
788#215—41no—
789#214—41no—
790#213—41no—
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)⋊C4—21no—
803(C2×D3)⋊C4—21no—
804(C2×D3)⋊C4—21no—
805(C2×D3)⋊C4—21no—
806(C2×D3)⋊C4—21no—
807(C2×D3)⋊C4—21no—
808(C2×D3)⋊C4—21no—
809(C2×D3)⋊C4—21no—
810(C2×D3)⋊C4—21no—
811(C2×D3)⋊C4C2×D411yescharacteristic
812(C2×D3)⋊C4C2×D411yescharacteristic
813(C2×D3)⋊C4C2×D411yescharacteristic
814(C2×D3)⋊C4C2×D411yescharacteristic
815(C2×D3)⋊C4C2×D411yescharacteristic
816(C2×D3)⋊C4C2×D411yescharacteristic
817C4⋊Dic3—21no—
818C4⋊Dic3—21no—
819C4⋊Dic3—21no—
820C4⋊Dic3—21no—
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3—21no—
825C4⋊Dic3—21no—
826C4⋊Dic3—21no—
827C4⋊Dic3—21no—
828C4⋊Dic3C2×D411yescharacteristic
829C4⋊Dic3C2×D411yescharacteristic
830C4⋊Dic3C2411yescharacteristic
831C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
847Dic3⋊C4—21no—
848Dic3⋊C4—21no—
849Dic3⋊C4—21no—
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×Dic3C2×D411yescharacteristic
864C4×Dic3C2×D411yescharacteristic
865C4×Dic3C2411yescharacteristic
866C4×Dic3C2411yescharacteristic
867#208—41no—
868C2×C3⋊C8—41no—
869C2×C3⋊C8C2411yescharacteristic
870C2×C3⋊C8C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872C2×C3⋊C8C2411yescharacteristic
873Dic12—41no—
874Dic12—41no—
875Dic12—41no—
876D24—41no—
877#204—41no—
878#204—41no—
879#204—41no—
880#204—41no—
881ΓL(1,𝔽25)—41no—
882ΓL(1,𝔽25)—41no—
883ΓL(1,𝔽25)—41no—
884D3×C8—41no—
885C2×#41—31no—
886C2×#41—31no—
887C2×#41—31no—
888C2×#41—31no—
889C2×#41—61no—
890C2×#41—61no—
891C22×Q8—31no—
892C22×Q8—31no—
893C22×Q8—61no—
894C2×Q16—31no—
895C2×Q16—31no—
896C2×Q16—31no—
897C2×Q16—31no—
898C2×SD16—31no—
899C2×SD16—31no—
900C2×SD16—31no—
901C2×SD16—31no—
902C2×SD16—31no—
903C2×SD16—31no—
904C2×D8—31no—
905C2×D8—31no—
906C2×M16—31no—
907C2×M16—31no—
908C2×M16—31no—
909C2×M16—31no—
910C22×C8—31no—
911C22×C8—31no—
912C4⋊Q8—21no—
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—61no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8—61no—
928C4⋊Q8C22×D311yescharacteristic
929C4⋊Q8C22×D311yescharacteristic
930C4⋊Q8C22×D311yescharacteristic
931#127—31no—
932#127—61no—
933#126—21no—
934#126—31no—
935#126—31no—
936#126—61no—
937#126—61no—
938#126—61no—
939#126—61no—
940#126—61no—
941#126—61no—
942#125—21no—
943#125—31no—
944#125—31no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125C22×D311yescharacteristic
954#125C22×D311yescharacteristic
955#124—21no—
956#124—31no—
957#124—31no—
958#124—31no—
959#124—31no—
960#124—31no—
961#124—61no—
962#124—61no—
963#124—61no—
964#124—61no—
965#124—61no—
966#124—61no—
967#124—61no—
968#124—61no—
969#124C22×D311yescharacteristic
970#123—21no—
971#123—31no—
972#123—31no—
973#123—61no—
974#123—61no—
975#123—61no—
976#123—61no—
977#123—61no—
978#123—61no—
979#123—61no—
980#123—61no—
981#123—61no—
982#123—61no—
983#123—61no—
984#123—61no—
985#123—61no—
986#123—61no—
987#123—61no—
988#123—61no—
989#123—61no—
990#123—61no—
991#123—61no—
992#123—61no—
993C22⋊Q8—21no—
994C22⋊Q8—21no—
995C22⋊Q8—21no—
996C22⋊Q8—31no—
997C22⋊Q8—31no—
998C22⋊Q8—31no—
999C22⋊Q8—31no—
1000C22⋊Q8—31no—
1001C22⋊Q8—31no—
1002C22⋊Q8—31no—
1003C22⋊Q8—61no—
1004C22⋊Q8—61no—
1005C22⋊Q8—61no—
1006C22⋊Q8—61no—
1007C22⋊Q8—61no—
1008C22⋊Q8—61no—
1009C22⋊Q8—61no—
1010C22⋊Q8—61no—
1011C22⋊Q8—61no—
1012C22⋊Q8—61no—
1013C22⋊Q8—61no—
1014C22⋊Q8—61no—
1015C22⋊Q8—61no—
1016C22⋊Q8—61no—
1017C22⋊Q8—61no—
1018C22⋊Q8—61no—
1019C22⋊Q8—61no—
1020C22⋊Q8—61no—
1021C22⋊Q8—61no—
1022C22⋊Q8—61no—
1023C22⋊Q8—61no—
1024C22⋊Q8C22×D311yescharacteristic
1025#121—31no—
1026#121—31no—
1027#121—31no—
1028#121—31no—
1029#121—31no—
1030#121—61no—
1031#121—61no—
1032#121—61no—
1033#121—61no—
1034#121—61no—
1035#121—61no—
1036#121—61no—
1037#121—61no—
1038#121—61no—
1039#121C22×D311yescharacteristic
1040C4×Q8—31no—
1041C4×Q8—31no—
1042C4×Q8—31no—
1043C4×Q8—31no—
1044C4×Q8—31no—
1045C4×Q8—31no—
1046C4×Q8—31no—
1047C4×Q8—61no—
1048C4×Q8—61no—
1049C4×Q8—61no—
1050C4×Q8C22×D311yescharacteristic
1051C4×D4—31no—
1052C4×D4—31no—
1053C4×D4—31no—
1054C4×D4—31no—
1055C4×D4—31no—
1056C4×D4—31no—
1057C4×D4—31no—
1058C4×D4—61no—
1059C4×D4—61no—
1060C4×D4—61no—
1061C4×D4—61no—
1062C4×D4—61no—
1063C4×D4—61no—
1064C4×D4—61no—
1065C4×D4—61no—
1066C4×D4—61no—
1067C4×D4C22×D311yescharacteristic
1068#117—31no—
1069#117—31no—
1070#117—61no—
1071#117—61no—
1072#117—61no—
1073#117—61no—
1074#117—61no—
1075#117C22×D311yescharacteristic
1076#117C22×D311yescharacteristic
1077C2×C4⋊C4—31no—
1078C2×C4⋊C4—31no—
1079C2×C4⋊C4—31no—
1080C2×C4⋊C4—61no—
1081C2×C4⋊C4—61no—
1082C2×C4⋊C4—61no—
1083C2×C4⋊C4—61no—
1084C2×C4⋊C4C22×D311yescharacteristic
1085C2×C42—31no—
1086#107—31no—
1087#107—31no—
1088#107—31no—
1089#107—31no—
1090#107C22×D311yescharacteristic
1091#107C22×D311yescharacteristic
1092#107C22×D311yescharacteristic
1093#107C22×D311yescharacteristic
1094#107C22×D311yescharacteristic
1095#107C22×D311yescharacteristic
1096#106C22×D311yescharacteristic
1097#106C22×D311yescharacteristic
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8C22×D311yescharacteristic
1103C4⋊C8C22×D311yescharacteristic
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#103—31no—
1122#103—31no—
1123#103—31no—
1124#103—31no—
1125#103—31no—
1126#103C22×D311yescharacteristic
1127#103C22×D311yescharacteristic
1128#103C22×D311yescharacteristic
1129#103C22×D311yescharacteristic
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102—31no—
1138#102—31no—
1139#102—31no—
1140#102C22×D311yescharacteristic
1141#102C22×D311yescharacteristic
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144C22⋊C8—31no—
1145C22⋊C8—31no—
1146C22⋊C8—31no—
1147C22⋊C8—31no—
1148C22⋊C8C22×D311yescharacteristic
1149C22⋊C8C22×D311yescharacteristic
1150#97—31no—
1151#97—31no—
1152#97—31no—
1153#97C22×D311yescharacteristic
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8—31no—
1157C4×C8—31no—
1158C4×C8—31no—
1159C4×C8C22×D311yescharacteristic
1160C23×C3—21no—
1161C23×C3C22×D411yescharacteristic
1162C22×D3—21no—
1163C22×D3—21no—
1164C22×D3C22×D411yescharacteristic
1165C22×D3C22×D411yescharacteristic
1166C3×Q8—21no—
1167C3×Q8—21no—
1168C3×Q8—81no—
1169C3×Q8—81no—
1170C3×Q8—81no—
1171C3×D4—21no—
1172C3×D4—21no—
1173C3×D4—81no—
1174C2×C3×C4—21no—
1175C2×C3×C4—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×C4—81no—
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—22no—
1192#67—41no—
1193#67—42no—
1194#67—81no—
1195#67—81no—
1196#67—81no—
1197#67—81no—
1198#67—81no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—81no—
1206C2×Dic3—81no—
1207C2×Dic3—81no—
1208C2×Dic3C22×D411yescharacteristic
1209C2×Dic3C22×D411yescharacteristic
1210C2×Dic3C22×D411yescharacteristic
1211C2×Dic3C22×D411yescharacteristic
1212C2×Dic3C22×D411yescharacteristic
1213C2×Dic3C22×D411yescharacteristic
1214D12—21no—
1215D12—21no—
1216D12—21no—
1217D12—21no—
1218D12—41no—
1219D12—42no—
1220D12—81no—
1221D12—81no—
1222D12—81no—
1223C4×D3—21no—
1224C4×D3—21no—
1225C4×D3—21no—
1226C4×D3—21no—
1227C4×D3—22no—
1228C4×D3—41no—
1229C4×D3—42no—
1230C4×D3—42no—
1231C4×D3—42no—
1232C4×D3—81no—
1233C4×D3—81no—
1234C4×D3—81no—
1235C4×D3—81no—
1236C4×D3—81no—
1237C4×D3—81no—
1238C4×D3—81no—
1239Dic6—22no—
1240Dic6—21no—
1241Dic6—21no—
1242Dic6—21no—
1243Dic6—21no—
1244Dic6—21no—
1245Dic6—21no—
1246Dic6—21no—
1247Dic6—21no—
1248Dic6—81no—
1249Dic6—81no—
1250Dic6—81no—
1251Dic6—81no—
1252Dic6—81no—
1253Dic6—81no—
1254C3×C8—21no—
1255C3×C8—21no—
1256C3×C8—21no—
1257C3×C8—21no—
1258C3⋊C8—21no—
1259C3⋊C8—21no—
1260C3⋊C8—21no—
1261C3⋊C8—21no—
1262#41—121no—
1263#41—121no—
1264#41—121no—
1265#41—121no—
1266#41—121no—
1267#41—121no—
1268#41—121no—
1269#41—121no—
1270#41—242no—
1271#41—242no—
1272C2×Q8—21no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—31no—
1276C2×Q8—31no—
1277C2×Q8—31no—
1278C2×Q8—31no—
1279C2×Q8—31no—
1280C2×Q8—61no—
1281C2×Q8—61no—
1282C2×Q8—61no—
1283C2×Q8—61no—
1284C2×Q8—61no—
1285C2×Q8—61no—
1286C2×Q8—121no—
1287C2×Q8—121no—
1288C2×Q8—121no—
1289C2×Q8—121no—
1290C2×Q8—242no—
1291C2×Q8C23×D311yescharacteristic
1292C2×D4—21no—
1293C2×D4—31no—
1294C2×D4—31no—
1295C2×D4—31no—
1296C2×D4—31no—
1297C2×D4—31no—
1298C2×D4—61no—
1299C2×D4—61no—
1300C2×D4—61no—
1301C2×D4—61no—
1302C2×D4—61no—
1303C2×D4—61no—
1304C2×D4—61no—
1305C2×D4—61no—
1306C2×D4—61no—
1307C2×D4—61no—
1308C2×D4C23×D311yescharacteristic
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—61no—
1316C22×C4—61no—
1317C22×C4—61no—
1318C22×C4—61no—
1319C22×C4—61no—
1320C22×C4—61no—
1321C22×C4—61no—
1322C22×C4—61no—
1323C22×C4—61no—
1324C22×C4—61no—
1325C22×C4—61no—
1326C22×C4—61no—
1327C22×C4—61no—
1328C22×C4C23×D311yescharacteristic
1329Q16—121no—
1330Q16—121no—
1331Q16—121no—
1332Q16—121no—
1333SD16—121no—
1334SD16—121no—
1335SD16—121no—
1336SD16—121no—
1337SD16—121no—
1338SD16—121no—
1339D8—121no—
1340D8—121no—
1341M16—121no—
1342M16—121no—
1343M16—121no—
1344M16—121no—
1345C2×C8—31no—
1346C2×C8—31no—
1347C2×C8—31no—
1348C2×C8—31no—
1349C2×C8—121no—
1350C2×C8—121no—
1351C2×C8C23×D311yescharacteristic
1352C2×C8C23×D311yescharacteristic
1353C2×C8C23×D311yescharacteristic
1354C2×C8C23×D311yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—31no—
1366C4⋊C4—31no—
1367C4⋊C4—31no—
1368C4⋊C4—31no—
1369C4⋊C4—31no—
1370C4⋊C4—31no—
1371C4⋊C4—31no—
1372C4⋊C4—31no—
1373C4⋊C4—31no—
1374C4⋊C4—31no—
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⋊C4—61no—
1396C4⋊C4—61no—
1397C4⋊C4—61no—
1398C4⋊C4—61no—
1399C4⋊C4—61no—
1400C4⋊C4—61no—
1401C4⋊C4—61no—
1402C4⋊C4—61no—
1403C4⋊C4—61no—
1404C4⋊C4D3×D411yescharacteristic
1405C4⋊C4D3×D411yescharacteristic
1406C4⋊C4C23×D311yescharacteristic
1407C4⋊C4C23×D311yescharacteristic
1408C4⋊C4C23×D311yescharacteristic
1409C4⋊C4C23×D311yescharacteristic
1410C4⋊C4C23×D311yescharacteristic
1411C4⋊C4C23×D311yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—31no—
1419C22⋊C4—31no—
1420C22⋊C4—31no—
1421C22⋊C4—31no—
1422C22⋊C4—31no—
1423C22⋊C4—31no—
1424C22⋊C4—31no—
1425C22⋊C4—31no—
1426C22⋊C4—61no—
1427C22⋊C4—61no—
1428C22⋊C4—61no—
1429C22⋊C4—61no—
1430C22⋊C4—61no—
1431C22⋊C4—61no—
1432C22⋊C4—61no—
1433C22⋊C4—61no—
1434C22⋊C4—61no—
1435C22⋊C4—61no—
1436C22⋊C4—61no—
1437C22⋊C4—61no—
1438C22⋊C4—61no—
1439C22⋊C4—61no—
1440C22⋊C4—61no—
1441C22⋊C4—61no—
1442C22⋊C4—61no—
1443C22⋊C4—61no—
1444C22⋊C4—61no—
1445C22⋊C4—61no—
1446C22⋊C4—61no—
1447C22⋊C4—61no—
1448C22⋊C4—61no—
1449C22⋊C4D3×D411yescharacteristic
1450C22⋊C4D3×D411yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—31no—
1454C42—31no—
1455C42—31no—
1456C42—31no—
1457C42—61no—
1458C42—61no—
1459C42—61no—
1460C42—61no—
1461C42—61no—
1462C42—61no—
1463C42—61no—
1464C42C23×D311yescharacteristic
1465C42C23×D311yescharacteristic
1466C22×C3—21no—
1467C22×C3—21no—
1468C22×C3—21no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3C23×D411yescharacteristic
1473C2×D3—21no—
1474C2×D3—21no—
1475C2×D3—21no—
1476C2×D3—21no—
1477C2×D3—21no—
1478C2×D3—21no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C3×C4—21no—
1486C3×C4—21no—
1487C3×C4—21no—
1488C3×C4—21no—
1489C3×C4—21no—
1490C3×C4—41no—
1491C3×C4—41no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4#58511yescharacteristic
1498C3×C4#58511yescharacteristic
1499Dic3—21no—
1500Dic3—21no—
1501Dic3—21no—
1502Dic3—21no—
1503Dic3—21no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3#57812yes—
1511C23—21no—
1512C23—31no—
1513C23—31no—
1514C23—61no—
1515C23—61no—
1516C23C2×D3×D411yescharacteristic
1517Q8—21no—
1518Q8—21no—
1519Q8—62no—
1520Q8—61no—
1521Q8—61no—
1522Q8—61no—
1523Q8—61no—
1524Q8—61no—
1525Q8—61no—
1526Q8—61no—
1527Q8—61no—
1528Q8—81no—
1529Q8—81no—
1530Q8—81no—
1531Q8—241no—
1532Q8—241no—
1533Q8—241no—
1534Q8—241no—
1535Q8—241no—
1536Q8—241no—
1537D4—21no—
1538D4—21no—
1539D4—62no—
1540D4—61no—
1541D4—61no—
1542D4—61no—
1543D4—61no—
1544D4—81no—
1545D4—121no—
1546D4—122no—
1547D4—122no—
1548D4—121no—
1549D4—241no—
1550D4—241no—
1551D4—241no—
1552D4—241no—
1553D4—241no—
1554D4—241no—
1555D4—241no—
1556D4—241no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—31no—
1571C2×C4—31no—
1572C2×C4—62no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—121no—
1586C2×C4—122no—
1587C2×C4—122no—
1588C2×C4—122no—
1589C2×C4—241no—
1590C2×C4—241no—
1591C2×C4—241no—
1592C2×C4—241no—
1593C2×C4—241no—
1594C2×C4—241no—
1595C2×C4—241no—
1596C2×C4—241no—
1597C2×C4—241no—
1598C2×C4—241no—
1599C2×C4C2×D3×D411yescharacteristic
1600C2×C4C2×D3×D411yescharacteristic
1601C2×C4C2×D3×D411yescharacteristic
1602C2×C4C2×D3×D411yescharacteristic
1603C2×C4C2×D3×D411yescharacteristic
1604C2×C4C24×D311yescharacteristic
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—61no—
1610C8—61no—
1611C8—61no—
1612C8—61no—
1613C2×C3—41no—
1614C2×C3—81no—
1615C2×C3#350011yescharacteristic
1616C2×C3C2×#57811yescharacteristic
1617C2×C3#358511yescharacteristic
1618D3—41no—
1619D3—41no—
1620D3—81no—
1621D3—81no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—61no—
1629C22—61no—
1630C22—61no—
1631C22—61no—
1632C22—61no—
1633C22—61no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22C22×D3×D411yescharacteristic
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—32no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—61no—
1655C4—61no—
1656C4—61no—
1657C4—61no—
1658C4—61no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4#596811yescharacteristic
1666C4#596811yescharacteristic
1667C3#6261911yescharacteristic, complemented, Sylow
1668C2—41no—
1669C2—81no—
1670C2—121no—
1671C2—121no—
1672C2—241no—
1673C2—241no—
1674C2#8634111yescharacteristic
1675C2#8720411yescharacteristic
1676C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3243C2
socleC22×C3C23×D4
hypercenter#3243D3
hypocenterC3#62619
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #86601C2semidirect
2. #86536C2semidirect
3. C3×#3243C2semidirect
4. #83471C2semidirect
5. #83457C2semidirect
6. #81988C2semidirect
7. #81959C2semidirect
8. #81943C2semidirect
9. #81935C2semidirect
10. #81689C2semidirect
11. #81683C2semidirect
12. #81643C2semidirect
13. #81639C2semidirect
14. #81555C2semidirect
15. #81547C2semidirect
16. #81490C2semidirect
17. #81487C2semidirect
18. #81411C2semidirect
19. #81407C2semidirect
20. #81307C2semidirect
21. #81306C2semidirect
22. #81252C2semidirect
23. #81219C2semidirect
24. #81190C2semidirect
25. #81150C2semidirect
26. #81138C2semidirect
27. #81121C2semidirect
28. #80985C2semidirect
29. #80956C2semidirect
30. #79393C2semidirect
31. #79369C2semidirect
223. #3243D3semidirect
1667. C3#62619semidirect

Maximal subgroups

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

subgroupindex
#866012
#865362
C3×#32432
#834712
#834572
#819882
#819592
#819432
#819352
#816892
#816832
#816432
#816392
#815552
#815472
#814902
#814872
#814112
#814072
#813072
#813062
#812522
#812192
#811902
#811502
#811382
#811212
#809852
#809562
#793932
#793692
#626193