Finite Group Databasebeta

← #11692176

Subgroups — #11692176

Order 768.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86603C211yesmaximal, characteristic, complemented
2#85907C211yesmaximal, characteristic, complemented
3C3×#3084C211yesmaximal, characteristic, complemented
4#83479C211yesmaximal, characteristic, complemented
5#82568C211yesmaximal, characteristic, complemented
6#81265C211yesmaximal, characteristic, complemented
7#81263C211yesmaximal, characteristic, complemented
8#81256C211yesmaximal, characteristic, complemented
9#81238C211yesmaximal, characteristic, complemented
10#81187C211yesmaximal, characteristic, complemented
11D3×#478C211yesmaximal, characteristic, complemented
12#81158C211yesmaximal, characteristic, complemented
13#81144C211yesmaximal, characteristic, complemented
14#81089C211yesmaximal, characteristic, complemented
15#81077C211yesmaximal, characteristic, complemented
16#81063C211yesmaximal, characteristic, complemented
17#81046C211yesmaximal, characteristic, complemented
18#81028C211yesmaximal, characteristic, complemented
19#81020C211yesmaximal, characteristic, complemented
20#81005C211yesmaximal, characteristic, complemented
21#81002C211yesmaximal, characteristic, complemented
22#79226C211yesmaximal, characteristic, complemented
23#79225C211yesmaximal, characteristic, complemented
24#79127C211yesmaximal, characteristic, complemented
25#79124C211yesmaximal, characteristic, complemented
26#79093C211yesmaximal, characteristic, complemented
27#79082C211yesmaximal, characteristic, complemented
28#78895C211yesmaximal, characteristic, complemented
29#78894C211yesmaximal, characteristic, complemented
30#78853C211yesmaximal, characteristic, complemented
31#78846C211yesmaximal, characteristic, complemented
32#62166—31nomaximal, Sylow
33C3×#544C2211yescharacteristic, complemented
34C3×#520C2211yescharacteristic
35#5829C2211yescharacteristic
36#5824C2211yescharacteristic
37#5735—21no—
38#5730C2211yescharacteristic, complemented
39#5729C2211yescharacteristic, complemented
40#5726—21no—
41#5726C2211yescharacteristic
42#5725C2211yescharacteristic
43#5697C2211yescharacteristic, complemented
44#5695C2211yescharacteristic
45#5692—21no—
46#5692—21no—
47#5690C2211yescharacteristic, complemented
48D3×#125C2211yescharacteristic
49#5647—21no—
50#5638—21no—
51#5631—21no—
52#5629—21no—
53#5582C2211yescharacteristic
54#5579C2211yescharacteristic
55#5578C2211yescharacteristic
56#5568C2211yescharacteristic
57#5564—21no—
58#5556—21no—
59#5554C2211yescharacteristic
60#5552—21no—
61#5547—21no—
62#5546C2211yescharacteristic
63C4×D3×D4C2211yescharacteristic
64D4×Dic6C2211yescharacteristic
65#5535C2211yescharacteristic, complemented
66#5534C2211yescharacteristic
67#5531—21no—
68#5530C2211yescharacteristic
69#5530C2211yescharacteristic, complemented
70#5528C2211yescharacteristic
71#5527—21no—
72#5515—21no—
73#5514C2211yescharacteristic, complemented
74#5511C2211yescharacteristic
75C2×#896—21no—
76#5507C2211yescharacteristic
77#5507C2211yescharacteristic
78C3×#479C2211yescharacteristic, complemented
79C3×#479C2211yescharacteristic, complemented
80C3×#478C2211yescharacteristic
81C3×#478C2211yescharacteristic
82C3×#476C2211yescharacteristic
83C3×#476C2211yescharacteristic
84C3×#475C2211yescharacteristic, complemented
85C3×#475C2211yescharacteristic, complemented
86C3×#428C2211yescharacteristic, complemented
87C2×C3×#106C2211yescharacteristic, complemented
88C3×#424C2211yescharacteristic, complemented
89C3×#417C2211yescharacteristic
90C3×#416C2211yescharacteristic
91#5238C2211yescharacteristic
92#5238C2211yescharacteristic
93#5135C2211yescharacteristic
94#5134C2211yescharacteristic, complemented
95#5127C2211yescharacteristic
96#5127C2211yescharacteristic, complemented
97#5115C2211yescharacteristic
98#5114C2211yescharacteristic, complemented
99#5111C2211yescharacteristic, complemented
100C8×#67C2211yescharacteristic
101#5094C2211yescharacteristic, complemented
102#5089C2211yescharacteristic
103#5084C2211yescharacteristic
104#5080C2211yescharacteristic, complemented
105#5068C2211yescharacteristic
106#5066C2211yescharacteristic
107#5064C2211yescharacteristic, complemented
108#5063C2211yescharacteristic, complemented
109#5027C2211yescharacteristic, complemented
110#5026C2211yescharacteristic, complemented
111C4×#215C2211yescharacteristic, complemented
112#5022C2211yescharacteristic, complemented
113#5015C2211yescharacteristic
114#5014C2211yescharacteristic
115C4×#213C2211yescharacteristic
116#5009C2211yescharacteristic
117#5003C2211yescharacteristic
118#5000C2211yescharacteristic, complemented
119#4996C2211yescharacteristic, complemented
120#4971C2211yescharacteristic, complemented
121#4968C2211yescharacteristic
122#4968C2211yescharacteristic, complemented
123#4967C2211yescharacteristic, complemented
124#4891C2211yescharacteristic
125#4890C2211yescharacteristic, complemented
126#4889C2211yescharacteristic, complemented
127#4884C2211yescharacteristic
128#4883C2211yescharacteristic
129#4882C2211yescharacteristic, complemented
130D3×#107C2211yescharacteristic
131#4876C2211yescharacteristic, complemented
132#4871C2211yescharacteristic
133#4870C2211yescharacteristic, complemented
134#4870C2211yescharacteristic, complemented
135#4870C2211yescharacteristic, complemented
136#4869C2211yescharacteristic
137#4869C2211yescharacteristic
138#4866C2211yescharacteristic
139#4865C2211yescharacteristic
140#4864C2211yescharacteristic
141#4864C2211yescharacteristic
142#4863C2211yescharacteristic
143#4863C2211yescharacteristic
144#4863C2211yescharacteristic
145#4863C2211yescharacteristic, complemented
146#4862C2211yescharacteristic
147#4861C2211yescharacteristic, complemented
148D3×#106C2211yescharacteristic
149D3×#106C2211yescharacteristic, complemented
150#4857C2211yescharacteristic, complemented
151#4856C2211yescharacteristic, complemented
152#4856C2211yescharacteristic, complemented
153#4855C2211yescharacteristic, complemented
154#4854C2211yescharacteristic, complemented
155#4852C2211yescharacteristic, complemented
156#4848C2211yescharacteristic, complemented
157#4847C2211yescharacteristic
158#4846C2211yescharacteristic, complemented
159#4844C2211yescharacteristic
160#4844C2211yescharacteristic
161#4843C2211yescharacteristic
162#4842C2211yescharacteristic, complemented
163#4840C2211yescharacteristic, complemented
164#4839C2211yescharacteristic, complemented
165#4836C2211yescharacteristic
166#4835C2211yescharacteristic
167#4834C2211yescharacteristic
168D3×C4⋊C8C2211yescharacteristic
169#4831C2211yescharacteristic, complemented
170#4829C2211yescharacteristic, complemented
171#4828C2211yescharacteristic, complemented
172#4819C2211yescharacteristic
173#4819C2211yescharacteristic
174#4818C2211yescharacteristic, complemented
175#4818C2211yescharacteristic, complemented
176#4814C2211yescharacteristic, complemented
177#4812C2211yescharacteristic, complemented
178#4811C2211yescharacteristic
179#4807C2211yescharacteristic
180#4807C2211yescharacteristic
181#4807C2211yescharacteristic, complemented
182#4805C2211yescharacteristic
183#4805C2211yescharacteristic, complemented
184#4800C2211yescharacteristic
185#4797C2211yescharacteristic, complemented
186#4797C2211yescharacteristic, complemented
187#4794C2211yescharacteristic
188#4785C2211yescharacteristic
189#4785C2211yescharacteristic
190#4785C2211yescharacteristic
191#4781C2211yescharacteristic
192#4781C2211yescharacteristic
193#4773C2211yescharacteristic
194#4773C2211yescharacteristic
195#4772C2211yescharacteristic
196#4771C2211yescharacteristic
197D3×#102C2211yescharacteristic
198D3×#102C2211yescharacteristic
199#4766C2211yescharacteristic
200#4766C2211yescharacteristic
201#4763C2211yescharacteristic
202#4761C2211yescharacteristic
203#4756C2211yescharacteristic
204#3559—31no—
205#3520—31no—
206#3384—31no—
207#3384—31no—
208#3376—31no—
209#3376—31no—
210#3346—31no—
211#3346—31no—
212#3345—31no—
213#3345—31no—
214#3335—31no—
215#3335—31no—
216#3307—31no—
217#3307—31no—
218#3306—31no—
219#3306—31no—
220#3297—31no—
221#3297—31no—
222#3257—31no—
223#3257—31no—
224#3246—31no—
225#3244—31no—
226#3244—31no—
227#3236—31no—
228#3119—31no—
229#3119—31no—
230#3109—31no—
231#3084—31no—
232#3084D311yescharacteristic, complemented
233C2×#478—31no—
234#2992—31no—
235C2×C3×#41C2311yescharacteristic
236C2×#239—21no—
237C2×#239—21no—
238C2×#237C2311yescharacteristic
239C2×D3×D4C2311yescharacteristic
240C2×#235—21no—
241C2×#235—21no—
242C22×C4×D3—21no—
243C22×Dic6—21no—
244C2×C3×M16C2311yescharacteristic
245C22×C3×C8C2311yescharacteristic
246C3×C4⋊Q8—21no—
247C3×C4⋊Q8C2311yescharacteristic
248C3×C4⋊Q8C2311yescharacteristic
249C3×#125—21no—
250C3×#125C2311yescharacteristic
251C3×#125C2311yescharacteristic
252C3×C22⋊Q8—21no—
253C3×C22⋊Q8—21no—
254C3×C4×Q8C2311yescharacteristic
255C3×C4×Q8C2311yescharacteristic
256C3×C4×D4—21no—
257C3×C4×D4—21no—
258C3×C4×D4C2311yescharacteristic
259C3×C4×D4C2311yescharacteristic
260C3×#117—21no—
261C3×#117C2311yescharacteristic
262C3×#117C2311yescharacteristic
263C2×C3×C4⋊C4—21no—
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266#947—21no—
267#947C2311yescharacteristic
268#946—21no—
269#946—21no—
270#946—21no—
271#946—21no—
272#946C2311yescharacteristic
273#946C2311yescharacteristic
274#944—21no—
275#944C2311yescharacteristic
276C2×#215C2311yescharacteristic
277C2×#215C2311yescharacteristic
278#939—21no—
279#939—21no—
280#937—21no—
281#935—21no—
282D4×Dic3C2311yescharacteristic
283D4×Dic3C2311yescharacteristic
284C2×#213C2311yescharacteristic
285C2×#213C2311yescharacteristic
286#930—21no—
287#930—21no—
288#930C2311yescharacteristic
289#930C2311yescharacteristic
290#930C2311yescharacteristic
291#929—21no—
292#929—21no—
293#929—21no—
294#929—21no—
295C4×#67—21no—
296C4×#67—21no—
297C4×#67—21no—
298C4×#67—21no—
299C4×#67C2311yescharacteristic
300C4×#67C2311yescharacteristic
301C2×(C2×D3)⋊C4—21no—
302C2×(C2×D3)⋊C4—21no—
303#924—21no—
304#924—21no—
305#924C2311yescharacteristic
306C2×Dic3⋊C4—21no—
307C2×Dic3⋊C4—21no—
308C2×D24C2311yescharacteristic
309C2×D24C2311yescharacteristic
310C2×#204C2311yescharacteristic
311C2×#204C2311yescharacteristic
312C2×ΓL(1,𝔽25)C2311yescharacteristic
313C2×D3×C8C2311yescharacteristic
314C2×D3×C8C2311yescharacteristic
315C2×D3×C8C2311yescharacteristic
316#898—21no—
317#898—21no—
318#898—21no—
319#898—21no—
320#898D411yescharacteristic
321#897—21no—
322#897—21no—
323#897C2311yescharacteristic
324#896—21no—
325#896—21no—
326#896—21no—
327#896—21no—
328#896—21no—
329#896—21no—
330#896—21no—
331#896—21no—
332#896—21no—
333#896—21no—
334#896—21no—
335#896—21no—
336#896D411yescharacteristic
337#895—21no—
338#895—21no—
339#895—21no—
340#895—21no—
341#895C2311yescharacteristic
342#895C2311yescharacteristic
343#895C2311yescharacteristic
344#895C2311yescharacteristic
345#895C2311yescharacteristic
346#894—21no—
347#894—21no—
348#894—21no—
349#894—21no—
350#894—21no—
351#894—21no—
352#894—21no—
353#894—21no—
354#894—21no—
355#894—21no—
356#894—21no—
357#894D411yescharacteristic
358#893—21no—
359#893—21no—
360#893C2311yescharacteristic
361#893C2311yescharacteristic
362#893C2311yescharacteristic
363#893C2311yescharacteristic
364#893C2311yescharacteristic
365#892C2311yescharacteristic
366D3×C4⋊C4—21no—
367D3×C4⋊C4—21no—
368D3×C4⋊C4—21no—
369D3×C4⋊C4—21no—
370D3×C4⋊C4C2311yescharacteristic
371D3×C4⋊C4C2311yescharacteristic
372D3×C4⋊C4C2311yescharacteristic
373D3×C4⋊C4C2311yescharacteristic
374D3×C4⋊C4C2311yescharacteristic
375#890C2311yescharacteristic
376#890C2311yescharacteristic
377#890C2311yescharacteristic
378#889—21no—
379#889—21no—
380#889—21no—
381#889—21no—
382#889—21no—
383#889D411yescharacteristic
384#888C2311yescharacteristic
385#888C2311yescharacteristic
386#888C2311yescharacteristic
387#887C2311yescharacteristic
388#886—21no—
389#885—21no—
390#885D411yescharacteristic
391#884—21no—
392#884—21no—
393#884—21no—
394#884—21no—
395#884D411yescharacteristic
396#883—21no—
397#883—21no—
398#883—21no—
399#883D411yescharacteristic
400#882—21no—
401#67⋊C4—21no—
402#67⋊C4—21no—
403D3×C22⋊C4—21no—
404#879D411yescharacteristic
405#878—21no—
406#878—21no—
407#877—21no—
408#876—21no—
409#876—21no—
410#876—21no—
411#876—21no—
412#875—21no—
413#875C2311yescharacteristic
414#874C2311yescharacteristic
415C4×D12—21no—
416C4×D12—21no—
417C4×D12—21no—
418C4×D12C2311yescharacteristic
419C4×D12C2311yescharacteristic
420C4×D12C2311yescharacteristic
421C4×D12C2311yescharacteristic
422#872—21no—
423#872—21no—
424#872C2311yescharacteristic
425C42×D3C2311yescharacteristic
426#870—21no—
427#870C2311yescharacteristic
428#869C2311yescharacteristic
429C4×Dic6—21no—
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×#106C2311yescharacteristic
437C3×#106C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×C4⋊C8C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#832C2311yescharacteristic
455#832C2311yescharacteristic
456#830C2311yescharacteristic
457#830C2311yescharacteristic
458#821C2311yescharacteristic
459#821C2311yescharacteristic
460#821C2311yescharacteristic
461#821C2311yescharacteristic
462#821C2311yescharacteristic
463#821C2311yescharacteristic
464(C2×D3)⋊C8C2311yescharacteristic
465(C2×D3)⋊C8C2311yescharacteristic
466(C2×D3)⋊C8C2311yescharacteristic
467(C2×D3)⋊C8C2311yescharacteristic
468#818C2311yescharacteristic
469#818C2311yescharacteristic
470#817C2311yescharacteristic
471#817C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#815C2311yescharacteristic
475#815C2311yescharacteristic
476#815C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479Dic3⋊C8C2311yescharacteristic
480Dic3⋊C8C2311yescharacteristic
481C8×Dic3C2311yescharacteristic
482#810C2311yescharacteristic
483#810C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#809C2311yescharacteristic
487#809C2311yescharacteristic
488#809C2311yescharacteristic
489#809C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508#803C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#562—61no—
512#556—31no—
513#554—31no—
514#554—31no—
515#554—31no—
516#554—31no—
517#553—31no—
518#553—31no—
519#553—31no—
520#553—31no—
521#552—61no—
522#551—61no—
523#551—61no—
524D4×Q8—31no—
525#548—61no—
526#547—31no—
527#547—31no—
528#547—31no—
529#547—31no—
530#547—61no—
531#547—61no—
532#546—31no—
533#546—31no—
534#544—31no—
535#544C2×D311yescharacteristic, complemented
536#542—31no—
537#542—31no—
538#540—31no—
539#540—31no—
540#539—61no—
541#539—61no—
542#539—61no—
543#539—61no—
544#539—61no—
545#537—61no—
546#533—31no—
547#532—31no—
548#529—31no—
549C2×#125—31no—
550#525—61no—
551C2×C22⋊Q8—61no—
552#520—31no—
553#520C2×D311yescharacteristic
554C2×C4×D4—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#498—31no—
560#498—31no—
561#491—31no—
562#491—31no—
563#489—31no—
564#489—31no—
565#488—31no—
566#488—31no—
567#485—31no—
568#485—31no—
569#484—31no—
570#484—31no—
571#483—31no—
572#483—31no—
573#483—31no—
574#483—31no—
575#482—31no—
576#482—31no—
577#481—31no—
578#481—31no—
579#481—31no—
580#481—31no—
581#481—31no—
582#481—31no—
583#480—31no—
584#480—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479C2×D311yescharacteristic, complemented
590#479C2×D311yescharacteristic, complemented
591#478—31no—
592#478—31no—
593#478—31no—
594#478—31no—
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478C2×D311yescharacteristic
600#478C2×D311yescharacteristic
601#476—31no—
602#476—31no—
603#476—31no—
604#476—31no—
605#476—31no—
606#476—31no—
607#476C2×D311yescharacteristic
608#476C2×D311yescharacteristic
609#475—31no—
610#475—31no—
611#475C2×D311yescharacteristic, complemented
612#475C2×D311yescharacteristic, complemented
613#474—31no—
614#474—31no—
615#469—31no—
616#469—31no—
617#468—31no—
618#468—31no—
619#466—31no—
620#466—31no—
621#465—31no—
622#465—31no—
623#465—31no—
624#465—31no—
625#465—31no—
626#465—31no—
627#463—31no—
628#463—31no—
629#463—31no—
630#463—31no—
631#461—31no—
632#461—31no—
633#460—31no—
634#460—31no—
635#459—31no—
636#459—31no—
637#449—31no—
638#449—31no—
639#449—31no—
640#449—31no—
641#447—31no—
642#447—31no—
643#446—31no—
644#446—31no—
645#442—31no—
646#442—31no—
647#442—31no—
648#442—31no—
649#442—31no—
650#442—31no—
651#440—31no—
652#440—31no—
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8—31no—
657#435—31no—
658#435—31no—
659#435—31no—
660#435—31no—
661C8×D4—31no—
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#428C2×D311yescharacteristic, complemented
668C2×#107—31no—
669C2×#106—31no—
670C2×#106—31no—
671C2×#106C2×D311yescharacteristic, complemented
672#424—31no—
673#424C2×D311yescharacteristic, complemented
674C2×C4⋊C8—31no—
675#417—31no—
676#417C2×D311yescharacteristic
677#416—31no—
678#416C2×D311yescharacteristic
679C2×#102—31no—
680C2×#102—31no—
681C23×D3—21no—
682C3×#41—22no—
683C3×#41—41no—
684C2×C3×Q8—21no—
685C2×C3×Q8—21no—
686C2×C3×Q8C2411yescharacteristic
687C2×C3×D4—21no—
688C2×C3×D4C2411yescharacteristic
689C22×C3×C4—21no—
690C22×C3×C4—21no—
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4C2411yescharacteristic
695C2×#67—21no—
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—
705#239—82no—
706#239—82no—
707#237—22no—
708#237—41no—
709D3×D4—22no—
710D3×D4—41no—
711#235—82no—
712#235—82no—
713C2×D12—21no—
714C2×D12—21no—
715C2×D12—21no—
716C2×D12—21no—
717C2×D12—21no—
718C2×D12—21no—
719C2×D12—21no—
720C2×D12C2×D411yescharacteristic
721C2×D12C2411yescharacteristic
722C2×D12C2411yescharacteristic
723C2×D12C2411yescharacteristic
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×D3—21no—
732C2×C4×D3—21no—
733C2×C4×D3—21no—
734C2×C4×D3—21no—
735C2×C4×D3—21no—
736C2×C4×D3—21no—
737C2×C4×D3—82no—
738C2×C4×D3C2×D411yescharacteristic
739C2×C4×D3C2×D411yescharacteristic
740C2×C4×D3C2411yescharacteristic
741C2×C4×D3C2411yescharacteristic
742C2×Dic6—21no—
743C2×Dic6—21no—
744C2×Dic6—21no—
745C2×Dic6—21no—
746C2×Dic6—82no—
747C2×Dic6C2×D411yescharacteristic
748C2×Dic6C2411yescharacteristic
749C3×M16—41no—
750C2×C3×C8—41no—
751C2×C3×C8C2411yescharacteristic
752C2×C3×C8C2411yescharacteristic
753C2×C3×C8C2411yescharacteristic
754C2×C3×C8C2411yescharacteristic
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⋊C4—21no—
763C3×C4⋊C4—21no—
764C3×C4⋊C4—21no—
765C3×C4⋊C4C2×D411yescharacteristic
766C3×C4⋊C4C2×D411yescharacteristic
767C3×C4⋊C4C2411yescharacteristic
768C3×C4⋊C4C2411yescharacteristic
769C3×C4⋊C4C2411yescharacteristic
770C3×C4⋊C4C2411yescharacteristic
771C3×C4⋊C4C2411yescharacteristic
772C3×C4⋊C4C2411yescharacteristic
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×C42—21no—
781C3×C42C2411yescharacteristic
782C3×C42C2411yescharacteristic
783#217—21no—
784#217—21no—
785#217—21no—
786#217C2×D411yescharacteristic
787#217C2×D411yescharacteristic
788#215—41no—
789#215—41no—
790#213—22no—
791#213—22no—
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)⋊C4—21no—
812(C2×D3)⋊C4—21no—
813(C2×D3)⋊C4—21no—
814(C2×D3)⋊C4—21no—
815(C2×D3)⋊C4—21no—
816(C2×D3)⋊C4C2×D411yescharacteristic
817(C2×D3)⋊C4C2×D411yescharacteristic
818(C2×D3)⋊C4C2×D411yescharacteristic
819(C2×D3)⋊C4C2×D411yescharacteristic
820(C2×D3)⋊C4C2×D411yescharacteristic
821(C2×D3)⋊C4C2×D411yescharacteristic
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3—21no—
825C4⋊Dic3—21no—
826C4⋊Dic3—21no—
827C4⋊Dic3C2×D411yescharacteristic
828C4⋊Dic3C2×D411yescharacteristic
829C4⋊Dic3C2411yescharacteristic
830C4⋊Dic3C2411yescharacteristic
831C4⋊Dic3C2411yescharacteristic
832C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
851Dic3⋊C4—21no—
852Dic3⋊C4—21no—
853Dic3⋊C4C2×D411yescharacteristic
854Dic3⋊C4C2×D411yescharacteristic
855Dic3⋊C4C2×D411yescharacteristic
856Dic3⋊C4C2×D411yescharacteristic
857Dic3⋊C4C2×D411yescharacteristic
858Dic3⋊C4C2×D411yescharacteristic
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3C2×D411yescharacteristic
863C4×Dic3C2×D411yescharacteristic
864C4×Dic3C2411yescharacteristic
865C4×Dic3C2411yescharacteristic
866C2×C3⋊C8C2411yescharacteristic
867C2×C3⋊C8C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870D24—41no—
871D24—41no—
872#204—41no—
873#204—41no—
874ΓL(1,𝔽25)—41no—
875D3×C8—41no—
876D3×C8—41no—
877D3×C8—41no—
878C2×#41—31no—
879C2×#41—61no—
880C2×#41—61no—
881C2×#41—61no—
882C2×#41—61no—
883C2×#41C22×D311yescharacteristic
884C22×Q8—61no—
885C22×D4—31no—
886C23×C4—61no—
887C2×SD16—31no—
888C2×SD16—31no—
889C2×SD16—31no—
890C2×SD16—31no—
891C2×D8—31no—
892C2×D8—31no—
893C2×D8—31no—
894C2×D8—31no—
895C2×M16—31no—
896C2×M16C22×D311yescharacteristic
897C22×C8—31no—
898C22×C8—31no—
899C22×C8—31no—
900C22×C8C22×D311yescharacteristic
901C4⋊Q8—21no—
902C4⋊Q8—31no—
903C4⋊Q8—31no—
904C4⋊Q8—31no—
905C4⋊Q8—31no—
906C4⋊Q8—31no—
907C4⋊Q8—61no—
908C4⋊Q8C22×D311yescharacteristic
909C4⋊Q8C22×D311yescharacteristic
910#127—31no—
911#126—31no—
912#126—31no—
913#126—61no—
914#126—61no—
915#126—61no—
916#126—61no—
917#126—61no—
918#126—61no—
919#126—61no—
920#126—61no—
921#125—21no—
922#125—31no—
923#125—31no—
924#125—31no—
925#125—31no—
926#125—31no—
927#125—61no—
928#125—61no—
929#125—61no—
930#125—61no—
931#125—61no—
932#125—61no—
933#125C22×D311yescharacteristic
934#125C22×D311yescharacteristic
935#124—31no—
936#124—31no—
937#124—31no—
938#124—61no—
939#124—61no—
940#124—61no—
941#123—31no—
942#123—31no—
943#123—61no—
944#123—61no—
945#123—61no—
946#123—61no—
947#123—61no—
948#123—61no—
949#123—61no—
950#123—61no—
951#123—61no—
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—
963C22⋊Q8—21no—
964C22⋊Q8—21no—
965C22⋊Q8—31no—
966C22⋊Q8—31no—
967C22⋊Q8—31no—
968C22⋊Q8—31no—
969C22⋊Q8—31no—
970C22⋊Q8—61no—
971C22⋊Q8—61no—
972C22⋊Q8—61no—
973C22⋊Q8—61no—
974C22⋊Q8—61no—
975C22⋊Q8—61no—
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—
992#121—31no—
993#121—31no—
994#121—31no—
995#121—31no—
996#121—31no—
997#121—31no—
998#121—31no—
999#121—31no—
1000#121—31no—
1001#121—61no—
1002#121—61no—
1003#121—61no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121—61no—
1008#121—61no—
1009#121—61no—
1010#121—61no—
1011#121—61no—
1012#121—61no—
1013#120—61no—
1014#120—61no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—61no—
1019C4×Q8C22×D311yescharacteristic
1020C4×Q8C22×D311yescharacteristic
1021C4×D4—21no—
1022C4×D4—21no—
1023C4×D4—31no—
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—31no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—61no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4—61no—
1041C4×D4—61no—
1042C4×D4—61no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4—61no—
1046C4×D4—61no—
1047C4×D4C22×D311yescharacteristic
1048C4×D4C22×D311yescharacteristic
1049#117—21no—
1050#117—31no—
1051#117—31no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117C22×D311yescharacteristic
1056#117C22×D311yescharacteristic
1057C2×C4⋊C4—21no—
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—31no—
1062C2×C4⋊C4—31no—
1063C2×C4⋊C4—61no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4—61no—
1067C2×C4⋊C4—61no—
1068C2×C4⋊C4—61no—
1069C2×C4⋊C4C22×D311yescharacteristic
1070C2×C4⋊C4C22×D311yescharacteristic
1071C2×C22⋊C4—61no—
1072C2×C22⋊C4—61no—
1073C2×C22⋊C4—61no—
1074C2×C42—31no—
1075#107—31no—
1076#107—31no—
1077#107—31no—
1078#107—31no—
1079#107—31no—
1080#107—31no—
1081#107C22×D311yescharacteristic
1082#107C22×D311yescharacteristic
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—
1093#106C22×D311yescharacteristic
1094#106C22×D311yescharacteristic
1095#106C22×D311yescharacteristic
1096#106C22×D311yescharacteristic
1097#106C22×D311yescharacteristic
1098#106C22×D311yescharacteristic
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
1108C4⋊C8C22×D311yescharacteristic
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#103C22×D311yescharacteristic
1118#103C22×D311yescharacteristic
1119#103C22×D311yescharacteristic
1120#103C22×D311yescharacteristic
1121#102—31no—
1122#102—31no—
1123#102—31no—
1124#102—31no—
1125#102—31no—
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102C22×D311yescharacteristic
1138#102C22×D311yescharacteristic
1139#102C22×D311yescharacteristic
1140#102C22×D311yescharacteristic
1141C22⋊C8—31no—
1142C22⋊C8—31no—
1143C22⋊C8—31no—
1144C22⋊C8—31no—
1145C22⋊C8—31no—
1146C22⋊C8—31no—
1147#97—31no—
1148#97—31no—
1149#97—31no—
1150#97—31no—
1151C4×C8—31no—
1152C4×C8—31no—
1153C23×C3—21no—
1154C23×C3C22×D411yescharacteristic
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—42no—
1159C22×D3—42no—
1160C22×D3—81no—
1161C22×D3C22×D411yescharacteristic
1162C22×D3C22×D411yescharacteristic
1163C3×Q8—21no—
1164C3×Q8—21no—
1165C3×Q8—81no—
1166C3×Q8—81no—
1167C3×D4—21no—
1168C3×D4—42no—
1169C3×D42−1+412yes—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—42no—
1180C2×C3×C4—81no—
1181C2×C3×C4—81no—
1182C2×C3×C4—81no—
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×C4C2511yescharacteristic
1190#67—22no—
1191#67—41no—
1192#67—42no—
1193#67—42no—
1194#67—81no—
1195#67—81no—
1196#67—81no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—42no—
1203C2×Dic3—42no—
1204C2×Dic3—81no—
1205C2×Dic3C22×D411yescharacteristic
1206C2×Dic3C22×D411yescharacteristic
1207C2×Dic3C22×D411yescharacteristic
1208C2×Dic3C22×D411yescharacteristic
1209C2×Dic3C22×D411yescharacteristic
1210C2×Dic3C22×D411yescharacteristic
1211D12—22no—
1212D12—21no—
1213D12—21no—
1214D12—21no—
1215D12—21no—
1216D12—21no—
1217D12—21no—
1218D12—42no—
1219D12—42no—
1220D12—81no—
1221D12—81no—
1222D12—81no—
1223D12—81no—
1224D12—81no—
1225C4×D3—22no—
1226C4×D3—21no—
1227C4×D3—21no—
1228C4×D3—21no—
1229C4×D3—21no—
1230C4×D3—41no—
1231C4×D3—42no—
1232C4×D3—42no—
1233C4×D3—81no—
1234C4×D3—81no—
1235C4×D3—81no—
1236C4×D3—81no—
1237C4×D3—81no—
1238C4×D3—81no—
1239C4×D3—81no—
1240C4×D3—81no—
1241C4×D3—81no—
1242C4×D3—81no—
1243C4×D3—81no—
1244Dic6—21no—
1245Dic6—21no—
1246Dic6—41no—
1247Dic6—42no—
1248Dic6—81no—
1249Dic6—81no—
1250Dic6—81no—
1251C3×C8—21no—
1252C3×C8—21no—
1253C3×C8—21no—
1254C3×C8—21no—
1255C3⋊C8—21no—
1256C3⋊C8—21no—
1257C3⋊C8—21no—
1258C3⋊C8—21no—
1259C24—61no—
1260#41—22no—
1261#41—41no—
1262#41—62no—
1263#41—121no—
1264#41—242no—
1265#41—242no—
1266#41—242no—
1267#41—242no—
1268C2×Q8—21no—
1269C2×Q8—21no—
1270C2×Q8—31no—
1271C2×Q8—31no—
1272C2×Q8—61no—
1273C2×Q8—61no—
1274C2×Q8—61no—
1275C2×Q8—61no—
1276C2×Q8—242no—
1277C2×Q8C23×D311yescharacteristic
1278C2×D4—21no—
1279C2×D4—31no—
1280C2×D4—31no—
1281C2×D4—31no—
1282C2×D4—31no—
1283C2×D4—31no—
1284C2×D4—31no—
1285C2×D4—61no—
1286C2×D4—61no—
1287C2×D4—61no—
1288C2×D4—61no—
1289C2×D4—61no—
1290C2×D4—61no—
1291C2×D4—62no—
1292C2×D4—61no—
1293C2×D4—61no—
1294C2×D4—61no—
1295C2×D4—61no—
1296C2×D4—61no—
1297C2×D4—61no—
1298C2×D4—121no—
1299C2×D4C23×D311yescharacteristic
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—61no—
1310C22×C4—61no—
1311C22×C4—61no—
1312C22×C4—61no—
1313C22×C4—61no—
1314C22×C4—61no—
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—242no—
1326C22×C4C23×D311yescharacteristic
1327SD16—121no—
1328SD16—121no—
1329SD16—121no—
1330SD16—121no—
1331D8—62no—
1332D8—62no—
1333D8—121no—
1334D8—121no—
1335M16—41no—
1336M16—121no—
1337C2×C8—31no—
1338C2×C8—31no—
1339C2×C8—31no—
1340C2×C8—31no—
1341C2×C8—41no—
1342C2×C8—121no—
1343C2×C8—121no—
1344C2×C8—121no—
1345C2×C8C23×D311yescharacteristic
1346C2×C8C23×D311yescharacteristic
1347C2×C8C23×D311yescharacteristic
1348C2×C8C23×D311yescharacteristic
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—31no—
1360C4⋊C4—31no—
1361C4⋊C4—31no—
1362C4⋊C4—31no—
1363C4⋊C4—31no—
1364C4⋊C4—31no—
1365C4⋊C4—31no—
1366C4⋊C4—31no—
1367C4⋊C4—31no—
1368C4⋊C4—31no—
1369C4⋊C4—31no—
1370C4⋊C4—31no—
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⋊C4—61no—
1396C4⋊C4D3×D411yescharacteristic
1397C4⋊C4D3×D411yescharacteristic
1398C4⋊C4C23×D311yescharacteristic
1399C4⋊C4C23×D311yescharacteristic
1400C4⋊C4C23×D311yescharacteristic
1401C4⋊C4C23×D311yescharacteristic
1402C4⋊C4C23×D311yescharacteristic
1403C4⋊C4C23×D311yescharacteristic
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—31no—
1408C22⋊C4—31no—
1409C22⋊C4—31no—
1410C22⋊C4—31no—
1411C22⋊C4—31no—
1412C22⋊C4—31no—
1413C22⋊C4—31no—
1414C22⋊C4—31no—
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—
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⋊C4D3×D411yescharacteristic
1443C22⋊C4D3×D411yescharacteristic
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—31no—
1448C42—31no—
1449C42—31no—
1450C42—31no—
1451C42—61no—
1452C42—61no—
1453C42—61no—
1454C42C23×D311yescharacteristic
1455C42C23×D311yescharacteristic
1456C22×C3—21no—
1457C22×C3—22no—
1458C22×C3—21no—
1459C22×C3—21no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3C23×D411yescharacteristic
1463C2×D3—21no—
1464C2×D3—21no—
1465C2×D3—21no—
1466C2×D3—21no—
1467C2×D3—21no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—84no—
1478C2×D3#57712yes—
1479C3×C4—21no—
1480C3×C4—21no—
1481C3×C4—21no—
1482C3×C4—21no—
1483C3×C4—21no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487C3×C4—41no—
1488C3×C4—41no—
1489C3×C4—41no—
1490C3×C4—41no—
1491C3×C4C2×2−1+411yescharacteristic
1492C3×C4#58511yescharacteristic
1493Dic3—21no—
1494Dic3—21no—
1495Dic3—21no—
1496Dic3—21no—
1497Dic3—21no—
1498Dic3—21no—
1499Dic3—41no—
1500Dic3—41no—
1501Dic3—41no—
1502Dic3—41no—
1503Dic3—41no—
1504C23—21no—
1505C23—31no—
1506C23—31no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—122no—
1511C23—122no—
1512C23—241no—
1513C23C2×D3×D411yescharacteristic
1514Q8—21no—
1515Q8—21no—
1516Q8—61no—
1517Q8—61no—
1518Q8—81no—
1519Q8—81no—
1520Q8—121no—
1521Q8—122no—
1522Q8—241no—
1523Q8—241no—
1524Q8—241no—
1525D4—21no—
1526D4—42no—
1527D4—62no—
1528D4—62no—
1529D4—61no—
1530D4—61no—
1531D4—61no—
1532D4—61no—
1533D4—61no—
1534D4—61no—
1535D4—122no—
1536D4—122no—
1537D4—121no—
1538D4—122no—
1539D4—122no—
1540D4—241no—
1541D4—241no—
1542D4—241no—
1543D4—241no—
1544D4—241no—
1545D4—241no—
1546D4—241no—
1547D4—241no—
1548D4#100712yes—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—31no—
1559C2×C4—31no—
1560C2×C4—31no—
1561C2×C4—31no—
1562C2×C4—31no—
1563C2×C4—31no—
1564C2×C4—42no—
1565C2×C4—62no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—121no—
1580C2×C4—122no—
1581C2×C4—122no—
1582C2×C4—122no—
1583C2×C4—122no—
1584C2×C4—241no—
1585C2×C4—241no—
1586C2×C4—241no—
1587C2×C4—241no—
1588C2×C4—241no—
1589C2×C4—241no—
1590C2×C4—241no—
1591C2×C4—241no—
1592C2×C4—241no—
1593C2×C4—241no—
1594C2×C4—241no—
1595C2×C4—241no—
1596C2×C4C2×D3×D411yescharacteristic
1597C2×C4C2×D3×D411yescharacteristic
1598C2×C4C2×D3×D411yescharacteristic
1599C2×C4C2×D3×D411yescharacteristic
1600C2×C4C2×D3×D411yescharacteristic
1601C2×C4C24×D311yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—61no—
1607C8—61no—
1608C8—61no—
1609C8—61no—
1610C2×C3—42no—
1611C2×C3—41no—
1612C2×C3#348911yescharacteristic
1613C2×C3C2×#57711yescharacteristic
1614C2×C3#358511yescharacteristic
1615D3—22no—
1616D3—41no—
1617D3—81no—
1618D3—81no—
1619D3—81no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—22no—
1624C22—32no—
1625C22—41no—
1626C22—41no—
1627C22—61no—
1628C22—61no—
1629C22—61no—
1630C22—61no—
1631C22—61no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—244no—
1642C22C22×D3×D411yescharacteristic
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—61no—
1656C4—61no—
1657C4—61no—
1658C4—61no—
1659C4—61no—
1660C4—61no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4C2×#100711yescharacteristic
1667C4#596411yescharacteristic
1668C3#6216611yescharacteristic, complemented, Sylow
1669C2—41no—
1670C2—42no—
1671C2—62no—
1672C2—121no—
1673C2—241no—
1674C2—241no—
1675C2—241no—
1676C2#8598511yescharacteristic
1677C2D3×#57711yescharacteristic
1678C2#8720711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3084C2
socleC22×C3C23×D4
hypercenter#3084D3
hypocenterC3#62166
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3084

Complements

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

NH ≅ G/Ntype
1. #86603C2semidirect
2. #85907C2semidirect
3. C3×#3084C2semidirect
4. #83479C2semidirect
5. #82568C2semidirect
6. #81265C2semidirect
7. #81263C2semidirect
8. #81256C2semidirect
9. #81238C2semidirect
10. #81187C2semidirect
11. D3×#478C2semidirect
12. #81158C2semidirect
13. #81144C2semidirect
14. #81089C2semidirect
15. #81077C2semidirect
16. #81063C2semidirect
17. #81046C2semidirect
18. #81028C2semidirect
19. #81020C2semidirect
20. #81005C2semidirect
21. #81002C2semidirect
22. #79226C2semidirect
23. #79225C2semidirect
24. #79127C2semidirect
25. #79124C2semidirect
26. #79093C2semidirect
27. #79082C2semidirect
28. #78895C2semidirect
29. #78894C2semidirect
30. #78853C2semidirect
31. #78846C2semidirect
33. C3×#544C22semidirect
38. #5730C22semidirect
39. #5729C22semidirect
43. #5697C22semidirect
47. #5690C22semidirect
65. #5535C22semidirect
69. #5530C22semidirect
73. #5514C22semidirect
78. C3×#479C22semidirect
79. C3×#479C22semidirect
84. C3×#475C22semidirect
85. C3×#475C22semidirect
86. C3×#428C22semidirect
87. C2×C3×#106C22semidirect
88. C3×#424C22semidirect
94. #5134C22semidirect
96. #5127C22semidirect
98. #5114C22semidirect
99. #5111C22semidirect
101. #5094C22semidirect
104. #5080C22semidirect
107. #5064C22semidirect
108. #5063C22semidirect
109. #5027C22semidirect
110. #5026C22semidirect
111. C4×#215C22semidirect
112. #5022C22semidirect
118. #5000C22semidirect
119. #4996C22semidirect
120. #4971C22semidirect
122. #4968C22semidirect
123. #4967C22semidirect
125. #4890C22semidirect
126. #4889C22semidirect
129. #4882C22semidirect
131. #4876C22semidirect
133. #4870C22semidirect
134. #4870C22semidirect
135. #4870C22semidirect
145. #4863C22semidirect
147. #4861C22semidirect
149. D3×#106C22semidirect
150. #4857C22semidirect
151. #4856C22semidirect
152. #4856C22semidirect
153. #4855C22semidirect
154. #4854C22semidirect
155. #4852C22semidirect
156. #4848C22semidirect
158. #4846C22semidirect
162. #4842C22semidirect
163. #4840C22semidirect
164. #4839C22semidirect
169. #4831C22semidirect
170. #4829C22semidirect
171. #4828C22semidirect
174. #4818C22semidirect
175. #4818C22semidirect
176. #4814C22semidirect
177. #4812C22semidirect
181. #4807C22semidirect
183. #4805C22semidirect
185. #4797C22semidirect
186. #4797C22semidirect
232. #3084D3semidirect
535. #544C2×D3semidirect
589. #479C2×D3semidirect
590. #479C2×D3semidirect
611. #475C2×D3semidirect
612. #475C2×D3semidirect
667. #428C2×D3semidirect
671. C2×#106C2×D3semidirect
673. #424C2×D3semidirect
1668. C3#62166semidirect

Maximal subgroups

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

subgroupindex
#866032
#859072
C3×#30842
#834792
#825682
#812652
#812632
#812562
#812382
#811872
D3×#4782
#811582
#811442
#810892
#810772
#810632
#810462
#810282
#810202
#810052
#810022
#792262
#792252
#791272
#791242
#790932
#790822
#788952
#788942
#788532
#788462
#621663