Finite Group Databasebeta

← #11692172

Subgroups — #11692172

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#86934C211yesmaximal, characteristic, complemented
2#86900C211yesmaximal, characteristic, complemented
3C3×#3346C211yesmaximal, characteristic, complemented
4#83622C211yesmaximal, characteristic, complemented
5#83614C211yesmaximal, characteristic, complemented
6#81989C211yesmaximal, characteristic, complemented
7#81964C211yesmaximal, characteristic, complemented
8#81546C211yesmaximal, characteristic, complemented
9#81507C211yesmaximal, characteristic, complemented
10#81485C211yesmaximal, characteristic, complemented
11#81463C211yesmaximal, characteristic, complemented
12#81320C211yesmaximal, characteristic, complemented
13#81310C211yesmaximal, characteristic, complemented
14#81294C211yesmaximal, characteristic, complemented
15#81272C211yesmaximal, characteristic, complemented
16#81265C211yesmaximal, characteristic, complemented
17#81235C211yesmaximal, characteristic, complemented
18#80959C211yesmaximal, characteristic, complemented
19#80954C211yesmaximal, characteristic, complemented
20#80819C211yesmaximal, characteristic, complemented
21#80796C211yesmaximal, characteristic, complemented
22#80683C211yesmaximal, characteristic, complemented
23#80640C211yesmaximal, characteristic, complemented
24#79812C211yesmaximal, characteristic, complemented
25#79757C211yesmaximal, characteristic, complemented
26#79499C211yesmaximal, characteristic, complemented
27#79463C211yesmaximal, characteristic, complemented
28#79244C211yesmaximal, characteristic, complemented
29#79225C211yesmaximal, characteristic, complemented
30C2×#4891C211yesmaximal, characteristic, complemented
31#79159C211yesmaximal, characteristic, complemented
32#62166—31nomaximal, Sylow
33C3×#554C2211yescharacteristic
34C3×#553C2211yescharacteristic
35#5733C2211yescharacteristic
36#5727C2211yescharacteristic
37#5712—21no—
38#5707—21no—
39#5693—21no—
40#5692—21no—
41#5690C2211yescharacteristic, complemented
42#5689C2211yescharacteristic, complemented
43#5667—21no—
44#5665—21no—
45#5643C2211yescharacteristic
46#5638—21no—
47#5637—21no—
48#5633—21no—
49#5631C2211yescharacteristic
50#5630C2211yescharacteristic
51D3×C22⋊Q8—21no—
52#5622C2211yescharacteristic
53#5619C2211yescharacteristic, complemented
54#5618C2211yescharacteristic, complemented
55#5611—21no—
56#5611C2211yescharacteristic
57#5597—21no—
58#5596C2211yescharacteristic
59#5574C2211yescharacteristic
60#5568C2211yescharacteristic
61#5564—21no—
62#5562C2211yescharacteristic, complemented
63#5556—21no—
64#5555—21no—
65#5555C2211yescharacteristic
66#5550C2211yescharacteristic
67#5547—21no—
68#5543C2211yescharacteristic, complemented
69#5538C2211yescharacteristic
70#5530C2211yescharacteristic, complemented
71#5519C2211yescharacteristic, complemented
72#5514C2211yescharacteristic
73#5511C2211yescharacteristic
74#5507C2211yescharacteristic
75#5504C2211yescharacteristic
76C2×#893C2211yescharacteristic
77C2×#890C2211yescharacteristic
78C3×#501C2211yescharacteristic, complemented
79C3×#485C2211yescharacteristic, complemented
80C3×#484C2211yescharacteristic
81C3×#481C2211yescharacteristic
82C3×#480C2211yescharacteristic, complemented
83C3×#479C2211yescharacteristic, complemented
84C3×#474C2211yescharacteristic, complemented
85C3×#468C2211yescharacteristic, complemented
86C3×#465C2211yescharacteristic
87C3×#440C2211yescharacteristic, complemented
88C3×#435C2211yescharacteristic
89C3×#428C2211yescharacteristic, complemented
90C2×C3×#107C2211yescharacteristic
91#5172C2211yescharacteristic
92#5165C2211yescharacteristic
93#5163C2211yescharacteristic, complemented
94#5162C2211yescharacteristic, complemented
95#5135C2211yescharacteristic
96#5133C2211yescharacteristic
97#5127C2211yescharacteristic, complemented
98#5119C2211yescharacteristic, complemented
99#5114C2211yescharacteristic
100C2×#821C2211yescharacteristic
101#5111C2211yescharacteristic
102C2×Dic3⋊C8C2211yescharacteristic
103#5084C2211yescharacteristic, complemented
104#5080C2211yescharacteristic, complemented
105#5068C2211yescharacteristic
106#5066C2211yescharacteristic
107#5048C2211yescharacteristic
108#5048C2211yescharacteristic, complemented
109#5043C2211yescharacteristic
110#5043C2211yescharacteristic, complemented
111#5041C2211yescharacteristic
112#5038C2211yescharacteristic
113#5037C2211yescharacteristic
114#5036C2211yescharacteristic
115C4×#215C2211yescharacteristic, complemented
116#5020C2211yescharacteristic, complemented
117#5016C2211yescharacteristic
118C4×#213C2211yescharacteristic
119D4×C3⋊C8C2211yescharacteristic
120#5003C2211yescharacteristic
121#5002C2211yescharacteristic
122#4970C2211yescharacteristic
123#4968C2211yescharacteristic
124#4968C2211yescharacteristic, complemented
125C2×#809C2211yescharacteristic
126C2×#808C2211yescharacteristic
127C2×#808C2211yescharacteristic, complemented
128#4891C2211yescharacteristic
129#4891C2211yescharacteristic
130#4891C2211yescharacteristic
131#4891C2211yescharacteristic
132#4891C2211yescharacteristic
133#4891C2211yescharacteristic
134#4891C2211yescharacteristic
135#4891C2211yescharacteristic
136#4891C2211yescharacteristic
137#4890C2211yescharacteristic, complemented
138#4889C2211yescharacteristic, complemented
139#4888C2211yescharacteristic, complemented
140#4886C2211yescharacteristic, complemented
141#4885C2211yescharacteristic
142#4883C2211yescharacteristic
143#4882C2211yescharacteristic, complemented
144#4881C2211yescharacteristic, complemented
145#4877C2211yescharacteristic, complemented
146#4877C2211yescharacteristic, complemented
147#4877C2211yescharacteristic, complemented
148#4876C2211yescharacteristic, complemented
149#4876C2211yescharacteristic, complemented
150#4876C2211yescharacteristic, complemented
151#4872C2211yescharacteristic
152#4870C2211yescharacteristic
153#4870C2211yescharacteristic
154#4870C2211yescharacteristic
155#4870C2211yescharacteristic, complemented
156#4869C2211yescharacteristic
157#4869C2211yescharacteristic
158#4863C2211yescharacteristic
159#4862C2211yescharacteristic, complemented
160D3×#106C2211yescharacteristic, complemented
161#4855C2211yescharacteristic, complemented
162#4854C2211yescharacteristic, complemented
163#4854C2211yescharacteristic, complemented
164#4844C2211yescharacteristic
165#4842C2211yescharacteristic
166#4839C2211yescharacteristic, complemented
167#4831C2211yescharacteristic, complemented
168#4819C2211yescharacteristic
169#4818C2211yescharacteristic, complemented
170#4810C2211yescharacteristic
171#4804C2211yescharacteristic
172#4803C2211yescharacteristic
173#4800C2211yescharacteristic
174#4799C2211yescharacteristic, complemented
175#4799C2211yescharacteristic, complemented
176#4797C2211yescharacteristic, complemented
177#4797C2211yescharacteristic, complemented
178#4794C2211yescharacteristic
179#4791C2211yescharacteristic, complemented
180#4786C2211yescharacteristic
181#4786C2211yescharacteristic
182#4785C2211yescharacteristic
183#4785C2211yescharacteristic
184#4785C2211yescharacteristic
185#4782C2211yescharacteristic
186#4778C2211yescharacteristic, complemented
187#4777C2211yescharacteristic, complemented
188#4762C2211yescharacteristic, complemented
189#4761C2211yescharacteristic, complemented
190#4761C2211yescharacteristic, complemented
191#4758C2211yescharacteristic, complemented
192#4735C2211yescharacteristic
193#4734C2211yescharacteristic
194#4732C2211yescharacteristic
195#4730C2211yescharacteristic, complemented
196#67⋊C8C2211yescharacteristic
197#4721C2211yescharacteristic
198#4720C2211yescharacteristic, complemented
199#4719C2211yescharacteristic
200#4714C2211yescharacteristic
201#4711C2211yescharacteristic
202#4709C2211yescharacteristic, complemented
203#4701C2211yescharacteristic, complemented
204#3559—31no—
205#3520—31no—
206#3384—31no—
207#3384—31no—
208#3376—31no—
209#3376—31no—
210#3346—31no—
211#3346D311yescharacteristic, complemented
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#3084—31no—
233C2×#478—31no—
234#2992—31no—
235C2×#239C2311yescharacteristic
236C2×D3×Q8—21no—
237C2×#237—21no—
238C2×#237—21no—
239C2×#237—21no—
240C2×#235—21no—
241C2×#235C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×C4×D3—21no—
244C2×C3×SD16C2311yescharacteristic
245C2×C3×M16C2311yescharacteristic
246C22×C3×C8C2311yescharacteristic
247C3×C4⋊Q8C2311yescharacteristic
248C3×#126—21no—
249C3×#125—21no—
250C3×#125C2311yescharacteristic
251C3×#123—21no—
252C3×C22⋊Q8—21no—
253C3×C22⋊Q8—21no—
254C3×C22⋊Q8C2311yescharacteristic
255C3×C22⋊Q8C2311yescharacteristic
256C3×#121—21no—
257C3×#121C2311yescharacteristic
258C3×#121C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×D4—21no—
261C3×C4×D4—21no—
262C3×C4×D4C2311yescharacteristic
263C3×C4×D4C2311yescharacteristic
264C3×#117C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268#947—21no—
269#947C2311yescharacteristic
270#946—21no—
271#946—21no—
272Q8×Dic3C2311yescharacteristic
273#944C2311yescharacteristic
274C2×#215C2311yescharacteristic
275#940C2311yescharacteristic
276#939—21no—
277#939—21no—
278#939—21no—
279#939D411yescharacteristic
280#938—21no—
281#938C2311yescharacteristic
282#937—21no—
283#935—21no—
284#935D411yescharacteristic
285D4×Dic3—21no—
286D4×Dic3C2311yescharacteristic
287D4×Dic3C2311yescharacteristic
288C2×#214C2311yescharacteristic
289C2×#213C2311yescharacteristic
290C2×#213C2311yescharacteristic
291#930—21no—
292#930—21no—
293#930C2311yescharacteristic
294#930C2311yescharacteristic
295#930C2311yescharacteristic
296#929—21no—
297#929—21no—
298C4×#67—21no—
299C4×#67—21no—
300C4×#67—21no—
301C4×#67—21no—
302C4×#67C2311yescharacteristic
303C4×#67C2311yescharacteristic
304C2×(C2×D3)⋊C4—21no—
305#926C2311yescharacteristic
306C2×C4⋊Dic3—21no—
307C2×C4⋊Dic3—21no—
308C2×C4⋊Dic3C2311yescharacteristic
309C2×C4⋊Dic3C2311yescharacteristic
310#924—21no—
311#924—21no—
312#924C2311yescharacteristic
313C2×Dic3⋊C4—21no—
314C2×C4×Dic3C2311yescharacteristic
315C22×C3⋊C8C2311yescharacteristic
316C22×C3⋊C8C2311yescharacteristic
317C2×D24C2311yescharacteristic
318C2×D24C2311yescharacteristic
319C2×#204C2311yescharacteristic
320C2×ΓL(1,𝔽25)C2311yescharacteristic
321C2×D3×C8C2311yescharacteristic
322#898—21no—
323#898—21no—
324#898—21no—
325#898—21no—
326#898D411yescharacteristic
327#897—21no—
328#897—21no—
329#897—21no—
330#897—21no—
331#897C2311yescharacteristic
332#896—21no—
333#896—21no—
334#896—21no—
335#896—21no—
336#896—21no—
337#896—21no—
338#896—21no—
339#896—21no—
340#895—21no—
341#895C2311yescharacteristic
342#895C2311yescharacteristic
343#894—21no—
344#894—21no—
345#894—21no—
346#894—21no—
347#894—21no—
348#894—21no—
349#893—21no—
350#893—21no—
351#893—21no—
352#893C2311yescharacteristic
353#893C2311yescharacteristic
354#893C2311yescharacteristic
355#893C2311yescharacteristic
356#893C2311yescharacteristic
357#893C2311yescharacteristic
358#893C2311yescharacteristic
359#892—21no—
360#892C2311yescharacteristic
361D3×C4⋊C4—21no—
362D3×C4⋊C4—21no—
363D3×C4⋊C4—21no—
364D3×C4⋊C4—21no—
365D3×C4⋊C4C2311yescharacteristic
366D3×C4⋊C4C2311yescharacteristic
367#890—21no—
368#890—21no—
369#890C2311yescharacteristic
370#890C2311yescharacteristic
371#890C2311yescharacteristic
372#890C2311yescharacteristic
373#890C2311yescharacteristic
374#889—21no—
375#889—21no—
376#889—21no—
377#889D411yescharacteristic
378#888—21no—
379#888C2311yescharacteristic
380#888C2311yescharacteristic
381#888C2311yescharacteristic
382#888C2311yescharacteristic
383#887—21no—
384#887C2311yescharacteristic
385#887C2311yescharacteristic
386#886—21no—
387#886—21no—
388#886—21no—
389#886—21no—
390#886D411yescharacteristic
391#885—21no—
392#885—21no—
393#885D411yescharacteristic
394#884—21no—
395#884—21no—
396#884—21no—
397#884—21no—
398#883—21no—
399#883—21no—
400#883—21no—
401#883—21no—
402#883—21no—
403#883—21no—
404#882—21no—
405#67⋊C4—21no—
406D3×C22⋊C4—21no—
407D3×C22⋊C4—21no—
408#879—21no—
409#879D411yescharacteristic
410#878—21no—
411#878—21no—
412#878—21no—
413#878—21no—
414#878—21no—
415#878—21no—
416#878D411yescharacteristic
417#877—21no—
418#876—21no—
419#876—21no—
420#875C2311yescharacteristic
421C4×D12—21no—
422C4×D12—21no—
423C4×D12C2311yescharacteristic
424C4×D12C2311yescharacteristic
425#872—21no—
426#872—21no—
427#872C2311yescharacteristic
428#870—21no—
429#869—21no—
430#869C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#107C2311yescharacteristic
435C3×#107C2311yescharacteristic
436C3×#107C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×#106C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×C22⋊C8C2311yescharacteristic
449C3×C22⋊C8C2311yescharacteristic
450C3×#97C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#832C2311yescharacteristic
455#830C2311yescharacteristic
456#830C2311yescharacteristic
457#821C2311yescharacteristic
458#821C2311yescharacteristic
459#821C2311yescharacteristic
460#821C2311yescharacteristic
461#821C2311yescharacteristic
462#821C2311yescharacteristic
463#821C2311yescharacteristic
464(C2×D3)⋊C8C2311yescharacteristic
465(C2×D3)⋊C8C2311yescharacteristic
466#817C2311yescharacteristic
467#817C2311yescharacteristic
468#817C2311yescharacteristic
469#816C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#815C2311yescharacteristic
473#815C2311yescharacteristic
474#815C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479Dic3⋊C8C2311yescharacteristic
480Dic3⋊C8C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483C8×Dic3C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#810C2311yescharacteristic
487#809C2311yescharacteristic
488#809C2311yescharacteristic
489#809C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#809C2311yescharacteristic
495#809C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#808C2311yescharacteristic
505#808C2311yescharacteristic
506#807C2311yescharacteristic
507#807C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#562—61no—
512#556—31no—
513#554—31no—
514#554—31no—
515#554—31no—
516#554C2×D311yescharacteristic
517#553—31no—
518#553—31no—
519#553—31no—
520#553C2×D311yescharacteristic
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#544—31no—
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#520—31no—
554C2×C4×D4—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501C2×D311yescharacteristic, complemented
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#485C2×D311yescharacteristic, complemented
569#484—31no—
570#484C2×D311yescharacteristic
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#481C2×D311yescharacteristic
583#480—31no—
584#480C2×D311yescharacteristic, complemented
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
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#478—31no—
600#478—31no—
601#476—31no—
602#476—31no—
603#476—31no—
604#476—31no—
605#476—31no—
606#476—31no—
607#476—31no—
608#476—31no—
609#475—31no—
610#475—31no—
611#475—31no—
612#475—31no—
613#474—31no—
614#474C2×D311yescharacteristic, complemented
615#469—31no—
616#469—31no—
617#468—31no—
618#468C2×D311yescharacteristic, complemented
619#466—31no—
620#466—31no—
621#465—31no—
622#465—31no—
623#465—31no—
624#465—31no—
625#465—31no—
626#465C2×D311yescharacteristic
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#440C2×D311yescharacteristic, complemented
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8—31no—
657#435—31no—
658#435—31no—
659#435—31no—
660#435C2×D311yescharacteristic
661C8×D4—31no—
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#428C2×D311yescharacteristic, complemented
668C2×#107C2×D311yescharacteristic
669C2×#106—31no—
670C2×#106—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—
679C2×#102—31no—
680C2×#102—31no—
681C23×D3—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8C2411yescharacteristic
684C2×C3×D4—21no—
685C2×C3×D4—21no—
686C2×C3×D4C2×D411yescharacteristic
687C2×C3×D4C2411yescharacteristic
688C22×C3×C4—21no—
689C22×C3×C4—21no—
690C22×C3×C4—21no—
691C22×C3×C4—21no—
692C22×C3×C4C2411yescharacteristic
693C22×C3×C4C2411yescharacteristic
694C2×#67—21no—
695C2×#67—21no—
696C2×#67—21no—
697C2×#67—21no—
698C2×#67—21no—
699C2×#67—21no—
700C2×#67—21no—
701C2×#67C2×D411yescharacteristic
702C2×#67C2×D411yescharacteristic
703C22×Dic3—21no—
704C22×Dic3—21no—
705C22×Dic3—21no—
706C22×Dic3—21no—
707C22×Dic3C2×D411yescharacteristic
708C22×Dic3C2×D411yescharacteristic
709#239—22no—
710#239—41no—
711D3×Q8—82no—
712#237—82no—
713#237—82no—
714#237—82no—
715#235—22no—
716#235—41no—
717#235—82no—
718C2×D12—22no—
719C2×D12—21no—
720C2×D12—21no—
721C2×D12—21no—
722C2×D12—21no—
723C2×D12—41no—
724C2×D12C2411yescharacteristic
725C2×D12C2411yescharacteristic
726C2×D12C2411yescharacteristic
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—21no—
738C2×C4×D3—21no—
739C2×C4×D3—21no—
740C2×C4×D3—82no—
741C2×C4×D3C2411yescharacteristic
742C2×Dic6—21no—
743C2×Dic6—21no—
744C2×Dic6—21no—
745C2×Dic6—21no—
746C2×Dic6—21no—
747C2×Dic6C2×D411yescharacteristic
748C2×Dic6C2411yescharacteristic
749C3×SD16—41no—
750C3×M16—41no—
751C2×C3×C8—41no—
752C2×C3×C8C2411yescharacteristic
753C2×C3×C8C2411yescharacteristic
754C2×C3×C8C2411yescharacteristic
755C2×C3×C8C2411yescharacteristic
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⋊C4C2411yescharacteristic
767C3×C4⋊C4C2411yescharacteristic
768C3×C4⋊C4C2411yescharacteristic
769C3×C4⋊C4C2411yescharacteristic
770C3×C4⋊C4C2411yescharacteristic
771C3×C4⋊C4C2411yescharacteristic
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4—21no—
775C3×C22⋊C4—21no—
776C3×C22⋊C4—21no—
777C3×C22⋊C4—21no—
778C3×C22⋊C4C2×D411yescharacteristic
779C3×C22⋊C4C2×D411yescharacteristic
780C3×C42—21no—
781C3×C42—21no—
782C3×C42C2411yescharacteristic
783#217—21no—
784#217—21no—
785#217—21no—
786#217—21no—
787#217C2×D411yescharacteristic
788#217C2×D411yescharacteristic
789#217C2×D411yescharacteristic
790#217C2×D411yescharacteristic
791#215—41no—
792#214—41no—
793#213—22no—
794#213—41no—
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)⋊C4C2×D411yescharacteristic
816(C2×D3)⋊C4C2×D411yescharacteristic
817(C2×D3)⋊C4C2×D411yescharacteristic
818(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3—21no—
829C4⋊Dic3C2×D411yescharacteristic
830C4⋊Dic3C2×D411yescharacteristic
831C4⋊Dic3C2×D411yescharacteristic
832C4⋊Dic3C2411yescharacteristic
833C4⋊Dic3C2411yescharacteristic
834C4⋊Dic3C2411yescharacteristic
835C4⋊Dic3C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
853Dic3⋊C4C2×D411yescharacteristic
854Dic3⋊C4C2×D411yescharacteristic
855Dic3⋊C4C2×D411yescharacteristic
856Dic3⋊C4C2×D411yescharacteristic
857Dic3⋊C4C2×D411yescharacteristic
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3C2×D411yescharacteristic
863C4×Dic3C2×D411yescharacteristic
864C4×Dic3C2411yescharacteristic
865C4×Dic3C2411yescharacteristic
866C4×Dic3C2411yescharacteristic
867C2×C3⋊C8—41no—
868C2×C3⋊C8—41no—
869C2×C3⋊C8C2411yescharacteristic
870C2×C3⋊C8C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872C2×C3⋊C8C2411yescharacteristic
873D24—22no—
874D24—41no—
875#204—41no—
876ΓL(1,𝔽25)—41no—
877D3×C8—41no—
878C2×#41—31no—
879C2×#41—31no—
880C2×#41—61no—
881C2×#41—61no—
882C2×#41—61no—
883C2×#41—61no—
884C22×Q8—61no—
885C22×D4—31no—
886C23×C4—61no—
887C2×SD16—31no—
888C2×SD16—31no—
889C2×SD16—31no—
890C2×SD16C22×D311yescharacteristic
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—31no—
902C4⋊Q8—31no—
903C4⋊Q8—31no—
904C4⋊Q8—31no—
905C4⋊Q8—31no—
906C4⋊Q8—31no—
907C4⋊Q8—61no—
908C4⋊Q8—61no—
909C4⋊Q8C22×D311yescharacteristic
910#127—31no—
911#126—21no—
912#126—31no—
913#126—31no—
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—31no—
928#125—61no—
929#125—61no—
930#125—61no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125C22×D311yescharacteristic
935#124—31no—
936#124—31no—
937#124—31no—
938#124—61no—
939#124—61no—
940#124—61no—
941#123—21no—
942#123—31no—
943#123—31no—
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—61no—
969C22⋊Q8—61no—
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⋊Q8C22×D311yescharacteristic
991C22⋊Q8C22×D311yescharacteristic
992#121—21no—
993#121—31no—
994#121—31no—
995#121—31no—
996#121—31no—
997#121—31no—
998#121—31no—
999#121—31no—
1000#121—61no—
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#121C22×D311yescharacteristic
1012#121C22×D311yescharacteristic
1013#120—61no—
1014#120—61no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—31no—
1019C4×Q8—61no—
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—31no—
1050#117—31no—
1051#117—31no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117C22×D311yescharacteristic
1057C2×C4⋊C4—31no—
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—61no—
1062C2×C4⋊C4—61no—
1063C2×C4⋊C4—61no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4—61no—
1067C2×C4⋊C4—61no—
1068C2×C4⋊C4C22×D311yescharacteristic
1069C2×C4⋊C4C22×D311yescharacteristic
1070C2×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#107C22×D311yescharacteristic
1078#107C22×D311yescharacteristic
1079#107C22×D311yescharacteristic
1080#107C22×D311yescharacteristic
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#106—31no—
1094#106—31no—
1095#106—31no—
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⋊C8—31no—
1106C4⋊C8—31no—
1107C4⋊C8—31no—
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#103—31no—
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#102—31no—
1138#102C22×D311yescharacteristic
1139#102C22×D311yescharacteristic
1140#102C22×D311yescharacteristic
1141C22⋊C8—31no—
1142C22⋊C8—31no—
1143C22⋊C8—31no—
1144C22⋊C8—31no—
1145C22⋊C8C22×D311yescharacteristic
1146C22⋊C8C22×D311yescharacteristic
1147#97—31no—
1148#97—31no—
1149#97—31no—
1150#97C22×D311yescharacteristic
1151C4×C8—31no—
1152C4×C8—31no—
1153C23×C3—21no—
1154C23×C3C22×D411yescharacteristic
1155C23×C3C22×D411yescharacteristic
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—42no—
1160C22×D3—42no—
1161C22×D3—81no—
1162C22×D3C22×D411yescharacteristic
1163C3×Q8—21no—
1164C3×Q8—21no—
1165C3×Q8—81no—
1166C3×D4—22no—
1167C3×D4—21no—
1168C3×D4—21no—
1169C3×D4—42no—
1170C3×D4—81no—
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—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—81no—
1183C2×C3×C4—81no—
1184C2×C3×C4—81no—
1185C2×C3×C4—81no—
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—42no—
1195#67—81no—
1196#67—81no—
1197#67—81no—
1198#67—81no—
1199#67—81no—
1200C2×Dic3—22no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—41no—
1207C2×Dic3—42no—
1208C2×Dic3—81no—
1209C2×Dic3—81no—
1210C2×Dic3—81no—
1211C2×Dic3C22×D411yescharacteristic
1212C2×Dic3C22×D411yescharacteristic
1213C2×Dic3C22×D411yescharacteristic
1214C2×Dic3C22×D411yescharacteristic
1215C2×Dic3C22×D411yescharacteristic
1216C2×Dic3C22×D411yescharacteristic
1217C2×Dic3C22×D411yescharacteristic
1218D12—21no—
1219D12—21no—
1220D12—21no—
1221D12—21no—
1222D12—21no—
1223D12—42no—
1224D12—42no—
1225D12—81no—
1226D12—81no—
1227D122−1+412yes—
1228C4×D3—21no—
1229C4×D3—21no—
1230C4×D3—42no—
1231C4×D3—42no—
1232C4×D3—42no—
1233C4×D3—42no—
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—
1243Dic6—21no—
1244Dic6—21no—
1245Dic6—41no—
1246Dic6—42no—
1247Dic6—81no—
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—62no—
1261#41—62no—
1262#41—121no—
1263#41—121no—
1264#41—242no—
1265#41—242no—
1266#41—242no—
1267#41—242no—
1268C2×Q8—21no—
1269C2×Q8—31no—
1270C2×Q8—31no—
1271C2×Q8—61no—
1272C2×Q8—61no—
1273C2×Q8—61no—
1274C2×Q8—61no—
1275C2×Q8—61no—
1276C2×Q8—242no—
1277C2×Q8C23×D311yescharacteristic
1278C2×D4—21no—
1279C2×D4—21no—
1280C2×D4—31no—
1281C2×D4—31no—
1282C2×D4—31no—
1283C2×D4—31no—
1284C2×D4—31no—
1285C2×D4—62no—
1286C2×D4—61no—
1287C2×D4—61no—
1288C2×D4—61no—
1289C2×D4—61no—
1290C2×D4—61no—
1291C2×D4—61no—
1292C2×D4—61no—
1293C2×D4—61no—
1294C2×D4—61no—
1295C2×D4—61no—
1296C2×D4—61no—
1297C2×D4—121no—
1298C2×D4D3×D411yescharacteristic
1299C2×D4C23×D311yescharacteristic
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—61no—
1308C22×C4—61no—
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—242no—
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327SD16—41no—
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—31no—
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⋊C4—61no—
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—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—31no—
1411C22⋊C4—31no—
1412C22⋊C4—31no—
1413C22⋊C4—31no—
1414C22⋊C4—31no—
1415C22⋊C4—31no—
1416C22⋊C4—31no—
1417C22⋊C4—31no—
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—31no—
1447C42—31no—
1448C42—31no—
1449C42—31no—
1450C42—31no—
1451C42—61no—
1452C42—61no—
1453C42—61no—
1454C42—61no—
1455C42C23×D311yescharacteristic
1456C22×C3—21no—
1457C22×C3—21no—
1458C22×C3—21no—
1459C22×C3—21no—
1460C22×C3—21no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3#57712yes—
1465C22×C3C23×D411yescharacteristic
1466C2×D3—21no—
1467C2×D3—21no—
1468C2×D3—22no—
1469C2×D3—21no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—84no—
1479C3×C4—21no—
1480C3×C4—21no—
1481C3×C4—21no—
1482C3×C4—21no—
1483C3×C4—41no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487C3×C4—41no—
1488C3×C4—41no—
1489C3×C4—41no—
1490C3×C4C2×2−1+411yescharacteristic
1491C3×C4#58511yescharacteristic
1492Dic3—21no—
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—61no—
1507C23—61no—
1508C23—61no—
1509C23—122no—
1510C23—122no—
1511C23—241no—
1512C23C2×D3×D411yescharacteristic
1513C23C2×D3×D411yescharacteristic
1514Q8—21no—
1515Q8—21no—
1516Q8—61no—
1517Q8—61no—
1518Q8—81no—
1519Q8—121no—
1520Q8—122no—
1521Q8—241no—
1522Q8—241no—
1523Q8—241no—
1524Q8—241no—
1525D4—22no—
1526D4—21no—
1527D4—21no—
1528D4—32no—
1529D4—42no—
1530D4—62no—
1531D4—61no—
1532D4—61no—
1533D4—61no—
1534D4—61no—
1535D4—61no—
1536D4—81no—
1537D4—122no—
1538D4—122no—
1539D4—121no—
1540D4—122no—
1541D4—122no—
1542D4—241no—
1543D4—241no—
1544D4—241no—
1545D4—241no—
1546D4—241no—
1547D4—241no—
1548D4—241no—
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—21no—
1559C2×C4—21no—
1560C2×C4—31no—
1561C2×C4—31no—
1562C2×C4—31no—
1563C2×C4—31no—
1564C2×C4—31no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—62no—
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—122no—
1580C2×C4—122no—
1581C2×C4—122no—
1582C2×C4—122no—
1583C2×C4—121no—
1584C2×C4—122no—
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×C4—241no—
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—22no—
1611C2×C3—41no—
1612C2×C3—81no—
1613C2×C3#348911yescharacteristic
1614C2×C3C2×#57711yescharacteristic
1615C2×C3#358511yescharacteristic
1616D3—41no—
1617D3—42no—
1618D3—81no—
1619D3—81no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—61no—
1629C22—62no—
1630C22—61no—
1631C22—61no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—244no—
1641C22#577812yes—
1642C22C22×D3×D411yescharacteristic
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
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—61no—
1660C4—61no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4#596411yescharacteristic
1667C4D3×2−1+411yescharacteristic
1668C3#6216611yescharacteristic, complemented, Sylow
1669C2—22no—
1670C2—41no—
1671C2—81no—
1672C2—121no—
1673C2—122no—
1674C2—241no—
1675C2—241no—
1676C2#8667711yescharacteristic
1677C2C2×#577811yescharacteristic
1678C2#8720411yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3346C2
socleC22×C3C23×D4
hypercenter#3346D3
hypocenterC3#62166
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #86934C2semidirect
2. #86900C2semidirect
3. C3×#3346C2semidirect
4. #83622C2semidirect
5. #83614C2semidirect
6. #81989C2semidirect
7. #81964C2semidirect
8. #81546C2semidirect
9. #81507C2semidirect
10. #81485C2semidirect
11. #81463C2semidirect
12. #81320C2semidirect
13. #81310C2semidirect
14. #81294C2semidirect
15. #81272C2semidirect
16. #81265C2semidirect
17. #81235C2semidirect
18. #80959C2semidirect
19. #80954C2semidirect
20. #80819C2semidirect
21. #80796C2semidirect
22. #80683C2semidirect
23. #80640C2semidirect
24. #79812C2semidirect
25. #79757C2semidirect
26. #79499C2semidirect
27. #79463C2semidirect
28. #79244C2semidirect
29. #79225C2semidirect
30. C2×#4891C2semidirect
31. #79159C2semidirect
41. #5690C22semidirect
42. #5689C22semidirect
53. #5619C22semidirect
54. #5618C22semidirect
62. #5562C22semidirect
68. #5543C22semidirect
70. #5530C22semidirect
71. #5519C22semidirect
78. C3×#501C22semidirect
79. C3×#485C22semidirect
82. C3×#480C22semidirect
83. C3×#479C22semidirect
84. C3×#474C22semidirect
85. C3×#468C22semidirect
87. C3×#440C22semidirect
89. C3×#428C22semidirect
93. #5163C22semidirect
94. #5162C22semidirect
97. #5127C22semidirect
98. #5119C22semidirect
103. #5084C22semidirect
104. #5080C22semidirect
108. #5048C22semidirect
110. #5043C22semidirect
115. C4×#215C22semidirect
116. #5020C22semidirect
124. #4968C22semidirect
127. C2×#808C22semidirect
137. #4890C22semidirect
138. #4889C22semidirect
139. #4888C22semidirect
140. #4886C22semidirect
143. #4882C22semidirect
144. #4881C22semidirect
145. #4877C22semidirect
146. #4877C22semidirect
147. #4877C22semidirect
148. #4876C22semidirect
149. #4876C22semidirect
150. #4876C22semidirect
155. #4870C22semidirect
159. #4862C22semidirect
160. D3×#106C22semidirect
161. #4855C22semidirect
162. #4854C22semidirect
163. #4854C22semidirect
166. #4839C22semidirect
167. #4831C22semidirect
169. #4818C22semidirect
174. #4799C22semidirect
175. #4799C22semidirect
176. #4797C22semidirect
177. #4797C22semidirect
179. #4791C22semidirect
186. #4778C22semidirect
187. #4777C22semidirect
188. #4762C22semidirect
189. #4761C22semidirect
190. #4761C22semidirect
191. #4758C22semidirect
195. #4730C22semidirect
198. #4720C22semidirect
202. #4709C22semidirect
203. #4701C22semidirect
211. #3346D3semidirect
558. #501C2×D3semidirect
568. #485C2×D3semidirect
584. #480C2×D3semidirect
590. #479C2×D3semidirect
614. #474C2×D3semidirect
618. #468C2×D3semidirect
652. #440C2×D3semidirect
667. #428C2×D3semidirect
1668. C3#62166semidirect

Maximal subgroups

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

subgroupindex
#869342
#869002
C3×#33462
#836222
#836142
#819892
#819642
#815462
#815072
#814852
#814632
#813202
#813102
#812942
#812722
#812652
#812352
#809592
#809542
#808192
#807962
#806832
#806402
#798122
#797572
#794992
#794632
#792442
#792252
C2×#48912
#791592
#621663