Finite Group Databasebeta

← #11692184

Subgroups — #11692184

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#86696C211yesmaximal, characteristic, complemented
3C3×#3335C211yesmaximal, characteristic, complemented
4#83625C211yesmaximal, characteristic, complemented
5#83526C211yesmaximal, characteristic, complemented
6#81905C211yesmaximal, characteristic, complemented
7#81898C211yesmaximal, characteristic, complemented
8#81446C211yesmaximal, characteristic, complemented
9#81432C211yesmaximal, characteristic, complemented
10#81423C211yesmaximal, characteristic, complemented
11#81420C211yesmaximal, characteristic, complemented
12#81335C211yesmaximal, characteristic, complemented
13#81322C211yesmaximal, characteristic, complemented
14#81312C211yesmaximal, characteristic, complemented
15#81310C211yesmaximal, characteristic, complemented
16#81055C211yesmaximal, characteristic, complemented
17#81050C211yesmaximal, characteristic, complemented
18#81014C211yesmaximal, characteristic, complemented
19#81005C211yesmaximal, characteristic, complemented
20#80684C211yesmaximal, characteristic, complemented
21#80681C211yesmaximal, characteristic, complemented
22#80644C211yesmaximal, characteristic, complemented
23#80640C211yesmaximal, characteristic, complemented
24#79697C211yesmaximal, characteristic, complemented
25#79630C211yesmaximal, characteristic, complemented
26#79441C211yesmaximal, characteristic, complemented
27#79407C211yesmaximal, characteristic, complemented
28#79130C211yesmaximal, characteristic, complemented
29C2×#4871C211yesmaximal, characteristic, complemented
30#79127C211yesmaximal, characteristic, complemented
31#79124C211yesmaximal, characteristic, complemented
32#62166—31nomaximal, Sylow
33C3×#554C2211yescharacteristic
34C3×#547C2211yescharacteristic
35#5833—21no—
36#5824—21no—
37#5733C2211yescharacteristic
38#5730C2211yescharacteristic, complemented
39#5729C2211yescharacteristic, complemented
40#5727C2211yescharacteristic
41#5693—21no—
42#5692—21no—
43#5667—21no—
44#5665—21no—
45#5660—21no—
46#5655—21no—
47#5646—21no—
48#5645—21no—
49#5643C2211yescharacteristic
50#5638—21no—
51#5637—21no—
52#5633—21no—
53#5631C2211yescharacteristic
54#5630C2211yescharacteristic
55D3×C22⋊Q8—21no—
56#5622C2211yescharacteristic
57#5619C2211yescharacteristic, complemented
58#5618C2211yescharacteristic
59#5614C2211yescharacteristic, complemented
60#5596C2211yescharacteristic
61#5574C2211yescharacteristic
62#5568C2211yescharacteristic
63#5565C2211yescharacteristic
64#5562C2211yescharacteristic, complemented
65#5556—21no—
66#5550C2211yescharacteristic
67#5547—21no—
68#5539C2211yescharacteristic, complemented
69#5538C2211yescharacteristic
70#5514C2211yescharacteristic, complemented
71#5511C2211yescharacteristic
72#5507C2211yescharacteristic
73#5507C2211yescharacteristic
74#5504C2211yescharacteristic
75C2×#893C2211yescharacteristic
76#5500C2211yescharacteristic, complemented
77C2×#890C2211yescharacteristic
78C3×#498C2211yescharacteristic, complemented
79C3×#483C2211yescharacteristic
80C3×#483C2211yescharacteristic, complemented
81C3×#481C2211yescharacteristic
82C3×#481C2211yescharacteristic, complemented
83C3×#476C2211yescharacteristic, complemented
84C3×#475C2211yescharacteristic, complemented
85C3×#465C2211yescharacteristic
86C3×#465C2211yescharacteristic, complemented
87C3×C4×SD16C2211yescharacteristic, complemented
88C3×C8×D4C2211yescharacteristic
89C2×C3×#106C2211yescharacteristic
90C2×C3×#106C2211yescharacteristic, complemented
91#5172C2211yescharacteristic
92#5165C2211yescharacteristic
93#5163C2211yescharacteristic, complemented
94#5162C2211yescharacteristic, complemented
95#5115C2211yescharacteristic
96#5114C2211yescharacteristic
97#5113C2211yescharacteristic
98C2×#821C2211yescharacteristic
99#5111C2211yescharacteristic, complemented
100C8×#67C2211yescharacteristic
101#5102C2211yescharacteristic, complemented
102C2×Dic3⋊C8C2211yescharacteristic
103#5089C2211yescharacteristic
104#5087C2211yescharacteristic, complemented
105#5084C2211yescharacteristic
106#5081C2211yescharacteristic, complemented
107#5049C2211yescharacteristic, complemented
108#5048C2211yescharacteristic
109#5045C2211yescharacteristic, complemented
110#5044C2211yescharacteristic
111#5041C2211yescharacteristic
112#5039C2211yescharacteristic
113#5037C2211yescharacteristic
114#5036C2211yescharacteristic
115#5026C2211yescharacteristic, complemented
116#5022C2211yescharacteristic, complemented
117#5016C2211yescharacteristic
118#5014C2211yescharacteristic
119#5011C2211yescharacteristic
120#4971C2211yescharacteristic
121#4968C2211yescharacteristic
122#4968C2211yescharacteristic
123#4967C2211yescharacteristic, complemented
124#4966C2211yescharacteristic
125C2×#809C2211yescharacteristic
126#4964C2211yescharacteristic, complemented
127C2×#807C2211yescharacteristic
128#4871C2211yescharacteristic
129#4871C2211yescharacteristic
130#4871C2211yescharacteristic
131#4871C2211yescharacteristic
132#4871C2211yescharacteristic
133#4871C2211yescharacteristic
134#4871C2211yescharacteristic
135#4871C2211yescharacteristic
136#4871C2211yescharacteristic
137#4870C2211yescharacteristic
138#4870C2211yescharacteristic
139#4870C2211yescharacteristic
140#4870C2211yescharacteristic, complemented
141#4870C2211yescharacteristic, complemented
142#4869C2211yescharacteristic
143#4869C2211yescharacteristic
144#4869C2211yescharacteristic
145#4868C2211yescharacteristic, complemented
146#4866C2211yescharacteristic
147#4865C2211yescharacteristic
148#4864C2211yescharacteristic, complemented
149#4863C2211yescharacteristic
150#4863C2211yescharacteristic, complemented
151#4862C2211yescharacteristic, complemented
152#4861C2211yescharacteristic, complemented
153D3×#106C2211yescharacteristic, complemented
154#4857C2211yescharacteristic, complemented
155#4857C2211yescharacteristic, complemented
156#4857C2211yescharacteristic, complemented
157#4856C2211yescharacteristic, complemented
158#4856C2211yescharacteristic, complemented
159#4856C2211yescharacteristic, complemented
160#4855C2211yescharacteristic, complemented
161#4854C2211yescharacteristic, complemented
162#4854C2211yescharacteristic, complemented
163#4852C2211yescharacteristic, complemented
164#4847C2211yescharacteristic
165#4844C2211yescharacteristic
166#4839C2211yescharacteristic, complemented
167#4828C2211yescharacteristic, complemented
168#4819C2211yescharacteristic
169#4818C2211yescharacteristic, complemented
170#4810C2211yescharacteristic
171#4804C2211yescharacteristic
172#4803C2211yescharacteristic
173#4800C2211yescharacteristic
174#4797C2211yescharacteristic, complemented
175#4797C2211yescharacteristic, complemented
176#4796C2211yescharacteristic, complemented
177#4796C2211yescharacteristic, complemented
178#4794C2211yescharacteristic
179#4791C2211yescharacteristic, complemented
180#4786C2211yescharacteristic
181#4786C2211yescharacteristic
182#4785C2211yescharacteristic
183#4785C2211yescharacteristic
184#4780C2211yescharacteristic, complemented
185#4775C2211yescharacteristic
186#4774C2211yescharacteristic, complemented
187#4762C2211yescharacteristic, complemented
188#4761C2211yescharacteristic, complemented
189#4759C2211yescharacteristic, complemented
190#4757C2211yescharacteristic, complemented
191#4756C2211yescharacteristic
192#4737C2211yescharacteristic
193#4734C2211yescharacteristic
194#4732C2211yescharacteristic
195#4730C2211yescharacteristic
196#4728C2211yescharacteristic, complemented
197#4722C2211yescharacteristic
198#4720C2211yescharacteristic, complemented
199#4719C2211yescharacteristic
200#4697C2211yescharacteristic
201C4×D24C2211yescharacteristic
202#4690C2211yescharacteristic, complemented
203#4679C2211yescharacteristic, complemented
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#3335D311yescharacteristic, complemented
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×C3×#41—21no—
236C2×#239C2311yescharacteristic
237C2×D3×Q8—21no—
238C2×#237—21no—
239C2×#235—21no—
240C2×#235—21no—
241C2×#235C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×C4×D3—21no—
244C2×C3×SD16C2311yescharacteristic
245C22×C3×C8C2311yescharacteristic
246C22×C3×C8C2311yescharacteristic
247C3×C4⋊Q8C2311yescharacteristic
248C3×C4⋊Q8C2311yescharacteristic
249C3×#125—21no—
250C3×#123—21no—
251C3×#123—21no—
252C3×C22⋊Q8—21no—
253C3×C22⋊Q8—21no—
254C3×C22⋊Q8—21no—
255C3×C22⋊Q8C2311yescharacteristic
256C3×C22⋊Q8C2311yescharacteristic
257C3×#121C2311yescharacteristic
258C3×#121C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×D4—21no—
261C3×C4×D4C2311yescharacteristic
262C3×C4×D4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267#947—21no—
268#947C2311yescharacteristic
269#946—21no—
270#946—21no—
271#946—21no—
272#946—21no—
273#946—21no—
274Q8×Dic3C2311yescharacteristic
275#944—21no—
276#944C2311yescharacteristic
277C2×#215C2311yescharacteristic
278#940C2311yescharacteristic
279#939—21no—
280#939—21no—
281#939—21no—
282#939—21no—
283#939D411yescharacteristic
284#938—21no—
285#938—21no—
286#938C2311yescharacteristic
287#937—21no—
288#935—21no—
289#935D411yescharacteristic
290D4×Dic3—21no—
291D4×Dic3C2311yescharacteristic
292D4×Dic3C2311yescharacteristic
293C2×#214C2311yescharacteristic
294C2×#213C2311yescharacteristic
295C2×#213C2311yescharacteristic
296#930—21no—
297#930—21no—
298#930C2311yescharacteristic
299#930C2311yescharacteristic
300#930C2311yescharacteristic
301#929—21no—
302#929—21no—
303#929—21no—
304C4×#67—21no—
305C4×#67—21no—
306C4×#67—21no—
307C4×#67—21no—
308C4×#67C2311yescharacteristic
309C4×#67C2311yescharacteristic
310C2×(C2×D3)⋊C4—21no—
311#926C2311yescharacteristic
312#926C2311yescharacteristic
313C2×C4⋊Dic3—21no—
314C2×C4⋊Dic3C2311yescharacteristic
315#924—21no—
316#924—21no—
317#924—21no—
318#924—21no—
319#924C2311yescharacteristic
320C2×Dic3⋊C4—21no—
321C2×Dic3⋊C4—21no—
322C2×C4×Dic3C2311yescharacteristic
323C2×#208C2311yescharacteristic
324C22×C3⋊C8C2311yescharacteristic
325C2×D24C2311yescharacteristic
326C2×D24C2311yescharacteristic
327C2×#204C2311yescharacteristic
328C2×ΓL(1,𝔽25)C2311yescharacteristic
329C2×D3×C8C2311yescharacteristic
330#898—21no—
331#898—21no—
332#898—21no—
333#898—21no—
334#898—21no—
335#898D411yescharacteristic
336#897—21no—
337#897—21no—
338#897C2311yescharacteristic
339#896—21no—
340#896—21no—
341#896—21no—
342#896—21no—
343#896—21no—
344#896—21no—
345#896—21no—
346#895—21no—
347#895C2311yescharacteristic
348#895C2311yescharacteristic
349#894—21no—
350#894—21no—
351#894—21no—
352#894—21no—
353#894—21no—
354#894—21no—
355#894—21no—
356#893—21no—
357#893—21no—
358#893—21no—
359#893C2311yescharacteristic
360#893C2311yescharacteristic
361#893C2311yescharacteristic
362#893C2311yescharacteristic
363#893C2311yescharacteristic
364#893C2311yescharacteristic
365#893C2311yescharacteristic
366#892—21no—
367#892C2311yescharacteristic
368D3×C4⋊C4—21no—
369D3×C4⋊C4—21no—
370D3×C4⋊C4—21no—
371D3×C4⋊C4—21no—
372D3×C4⋊C4C2311yescharacteristic
373D3×C4⋊C4C2311yescharacteristic
374#890—21no—
375#890—21no—
376#890—21no—
377#890C2311yescharacteristic
378#890C2311yescharacteristic
379#890C2311yescharacteristic
380#890C2311yescharacteristic
381#890C2311yescharacteristic
382#889—21no—
383#889—21no—
384#889—21no—
385#889D411yescharacteristic
386#888—21no—
387#888C2311yescharacteristic
388#888C2311yescharacteristic
389#888C2311yescharacteristic
390#888C2311yescharacteristic
391#887—21no—
392#887C2311yescharacteristic
393#887C2311yescharacteristic
394#886—21no—
395#886—21no—
396#886D411yescharacteristic
397#885—21no—
398#885—21no—
399#885D411yescharacteristic
400#884—21no—
401#884—21no—
402#884—21no—
403#883—21no—
404#883—21no—
405#883—21no—
406#883—21no—
407#883—21no—
408#882—21no—
409#67⋊C4—21no—
410#67⋊C4—21no—
411#67⋊C4—21no—
412D3×C22⋊C4—21no—
413D3×C22⋊C4—21no—
414#879—21no—
415#879—21no—
416#879D411yescharacteristic
417#878—21no—
418#878—21no—
419#878—21no—
420#878D411yescharacteristic
421#877—21no—
422#876—21no—
423#875C2311yescharacteristic
424C4×D12—21no—
425C4×D12C2311yescharacteristic
426C4×D12C2311yescharacteristic
427#872—21no—
428#872—21no—
429#872C2311yescharacteristic
430#870C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×#106C2311yescharacteristic
437C3×#106C2311yescharacteristic
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×C4×C8C2311yescharacteristic
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#818C2311yescharacteristic
467#818C2311yescharacteristic
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#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507#807C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509#803C2311yescharacteristic
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#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—61no—
530#547—61no—
531#547C2×D311yescharacteristic
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#501—31no—
559#498—31no—
560#498C2×D311yescharacteristic, complemented
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#483C2×D311yescharacteristic
574#483C2×D311yescharacteristic, complemented
575#482—31no—
576#482—31no—
577#481—31no—
578#481—31no—
579#481—31no—
580#481—31no—
581#481C2×D311yescharacteristic
582#481C2×D311yescharacteristic, complemented
583#480—31no—
584#480—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
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#476C2×D311yescharacteristic, complemented
609#475—31no—
610#475—31no—
611#475—31no—
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#465C2×D311yescharacteristic
626#465C2×D311yescharacteristic, complemented
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×SD16C2×D311yescharacteristic, complemented
655C4×D8—31no—
656C4×D8—31no—
657#435—31no—
658#435—31no—
659#435—31no—
660#435—31no—
661C8×D4—31no—
662C8×D4C2×D311yescharacteristic
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#428—31no—
668C2×#107—31no—
669C2×#106—31no—
670C2×#106C2×D311yescharacteristic
671C2×#106C2×D311yescharacteristic, complemented
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—
682C3×#41—82no—
683C2×C3×Q8—21no—
684C2×C3×Q8—21no—
685C2×C3×Q8C2411yescharacteristic
686C2×C3×D4—21no—
687C2×C3×D4—21no—
688C2×C3×D4C2×D411yescharacteristic
689C2×C3×D4C2411yescharacteristic
690C22×C3×C4—21no—
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C22×C3×C4C2411yescharacteristic
696C22×C3×C4C2411yescharacteristic
697C2×#67—21no—
698C2×#67—21no—
699C2×#67—21no—
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67—21no—
704C2×#67C2×D411yescharacteristic
705C2×#67C2×D411yescharacteristic
706C22×Dic3—21no—
707C22×Dic3—21no—
708C22×Dic3—21no—
709C22×Dic3C2×D411yescharacteristic
710C22×Dic3C2×D411yescharacteristic
711#239—22no—
712#239—41no—
713D3×Q8—82no—
714#237—82no—
715#235—22no—
716#235—41no—
717#235—82no—
718#235—82no—
719C2×D12—22no—
720C2×D12—21no—
721C2×D12—21no—
722C2×D12—21no—
723C2×D12—21no—
724C2×D12—41no—
725C2×D12C2411yescharacteristic
726C2×D12C2411yescharacteristic
727C2×D12C2411yescharacteristic
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—21no—
741C2×C4×D3—82no—
742C2×C4×D3C2411yescharacteristic
743C2×Dic6—21no—
744C2×Dic6—21no—
745C2×Dic6—21no—
746C2×Dic6—21no—
747C2×Dic6C2×D411yescharacteristic
748C2×Dic6C2411yescharacteristic
749C3×SD16—41no—
750C2×C3×C8—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⋊C4C2×D411yescharacteristic
778C3×C22⋊C4C2×D411yescharacteristic
779C3×C42—21no—
780C3×C42C2411yescharacteristic
781#217—21no—
782#217—21no—
783#217—21no—
784#217—21no—
785#217—21no—
786#217C2×D411yescharacteristic
787#217C2×D411yescharacteristic
788#217C2×D411yescharacteristic
789#217C2×D411yescharacteristic
790#215—41no—
791#214—41no—
792#213—22no—
793#213—41no—
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)⋊C4C2×D411yescharacteristic
815(C2×D3)⋊C4C2×D411yescharacteristic
816(C2×D3)⋊C4C2×D411yescharacteristic
817(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
852Dic3⋊C4C2×D411yescharacteristic
853Dic3⋊C4C2×D411yescharacteristic
854Dic3⋊C4C2×D411yescharacteristic
855Dic3⋊C4C2×D411yescharacteristic
856Dic3⋊C4C2×D411yescharacteristic
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3C2×D411yescharacteristic
863C4×Dic3C2×D411yescharacteristic
864C4×Dic3C2411yescharacteristic
865C4×Dic3C2411yescharacteristic
866C4×Dic3C2411yescharacteristic
867#208—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—21no—
879C2×#41—31no—
880C2×#41—31no—
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×M16—31no—
897C22×C8—31no—
898C22×C8—31no—
899C22×C8C22×D311yescharacteristic
900C22×C8C22×D311yescharacteristic
901C4⋊Q8—31no—
902C4⋊Q8—31no—
903C4⋊Q8—31no—
904C4⋊Q8—31no—
905C4⋊Q8—31no—
906C4⋊Q8—61no—
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—31no—
928#125—31no—
929#125—61no—
930#125—61no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125—61no—
935#124—31no—
936#124—31no—
937#124—31no—
938#124—61no—
939#124—61no—
940#124—61no—
941#123—21no—
942#123—21no—
943#123—31no—
944#123—31no—
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—21no—
966C22⋊Q8—31no—
967C22⋊Q8—31no—
968C22⋊Q8—31no—
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—31no—
993#121—31no—
994#121—31no—
995#121—31no—
996#121—31no—
997#121—31no—
998#121—31no—
999#121—61no—
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—31no—
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—61no—
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—31no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057C2×C4⋊C4—31no—
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—61no—
1061C2×C4⋊C4—61no—
1062C2×C4⋊C4—61no—
1063C2×C4⋊C4—61no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4—61no—
1067C2×C4⋊C4C22×D311yescharacteristic
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#107—31no—
1078#107—31no—
1079#107—31no—
1080#107—31no—
1081#107—31no—
1082#107—31no—
1083#106—31no—
1084#106—31no—
1085#106—31no—
1086#106—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106C22×D311yescharacteristic
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
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⋊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#97—31no—
1151C4×C8—31no—
1152C4×C8C22×D311yescharacteristic
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×Q8—81no—
1167C3×D4—22no—
1168C3×D4—21no—
1169C3×D4—21no—
1170C3×D4—42no—
1171C3×D4—81no—
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—21no—
1183C2×C3×C4—42no—
1184C2×C3×C4—81no—
1185C2×C3×C4—81no—
1186C2×C3×C4—81no—
1187C2×C3×C4—81no—
1188C2×C3×C4C22×D411yescharacteristic
1189C2×C3×C4C22×D411yescharacteristic
1190C2×C3×C4C22×D411yescharacteristic
1191C2×C3×C4C22×D411yescharacteristic
1192C2×C3×C4C2511yescharacteristic
1193#67—22no—
1194#67—41no—
1195#67—42no—
1196#67—42no—
1197#67—81no—
1198#67—81no—
1199#67—81no—
1200#67—81no—
1201#67—81no—
1202C2×Dic3—22no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—41no—
1209C2×Dic3—81no—
1210C2×Dic3—81no—
1211C2×Dic3—81no—
1212C2×Dic3C22×D411yescharacteristic
1213C2×Dic3C22×D411yescharacteristic
1214C2×Dic3C22×D411yescharacteristic
1215C2×Dic3C22×D411yescharacteristic
1216C2×Dic3C22×D411yescharacteristic
1217C2×Dic3C22×D411yescharacteristic
1218C2×Dic3C22×D411yescharacteristic
1219D12—21no—
1220D12—21no—
1221D12—21no—
1222D12—21no—
1223D12—21no—
1224D12—42no—
1225D12—42no—
1226D12—81no—
1227D12—81no—
1228D122−1+412yes—
1229C4×D3—21no—
1230C4×D3—21no—
1231C4×D3—42no—
1232C4×D3—42no—
1233C4×D3—42no—
1234C4×D3—42no—
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—62no—
1261#41—62no—
1262#41—82no—
1263#41—121no—
1264#41—121no—
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—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—21no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
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—121no—
1336M16—121no—
1337C2×C8—31no—
1338C2×C8—31no—
1339C2×C8—31no—
1340C2×C8—31no—
1341C2×C8—41no—
1342C2×C8—41no—
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—31no—
1410C22⋊C4—31no—
1411C22⋊C4—31no—
1412C22⋊C4—31no—
1413C22⋊C4—31no—
1414C22⋊C4—31no—
1415C22⋊C4—31no—
1416C22⋊C4—31no—
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—31no—
1446C42—31no—
1447C42—31no—
1448C42—31no—
1449C42—31no—
1450C42—61no—
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—81no—
1520Q8—121no—
1521Q8—122no—
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—42no—
1568C2×C4—62no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—122no—
1581C2×C4—122no—
1582C2×C4—122no—
1583C2×C4—122no—
1584C2×C4—121no—
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—61no—
1630C22—62no—
1631C22—61no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—244no—
1641C22#576212yes—
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×#576211yescharacteristic
1678C2#8720711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3335C2
socleC22×C3C23×D4
hypercenter#3335D3
hypocenterC3#62166
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3335

Complements

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

NH ≅ G/Ntype
1. #86934C2semidirect
2. #86696C2semidirect
3. C3×#3335C2semidirect
4. #83625C2semidirect
5. #83526C2semidirect
6. #81905C2semidirect
7. #81898C2semidirect
8. #81446C2semidirect
9. #81432C2semidirect
10. #81423C2semidirect
11. #81420C2semidirect
12. #81335C2semidirect
13. #81322C2semidirect
14. #81312C2semidirect
15. #81310C2semidirect
16. #81055C2semidirect
17. #81050C2semidirect
18. #81014C2semidirect
19. #81005C2semidirect
20. #80684C2semidirect
21. #80681C2semidirect
22. #80644C2semidirect
23. #80640C2semidirect
24. #79697C2semidirect
25. #79630C2semidirect
26. #79441C2semidirect
27. #79407C2semidirect
28. #79130C2semidirect
29. C2×#4871C2semidirect
30. #79127C2semidirect
31. #79124C2semidirect
38. #5730C22semidirect
39. #5729C22semidirect
57. #5619C22semidirect
59. #5614C22semidirect
64. #5562C22semidirect
68. #5539C22semidirect
70. #5514C22semidirect
76. #5500C22semidirect
78. C3×#498C22semidirect
80. C3×#483C22semidirect
82. C3×#481C22semidirect
83. C3×#476C22semidirect
84. C3×#475C22semidirect
86. C3×#465C22semidirect
87. C3×C4×SD16C22semidirect
90. C2×C3×#106C22semidirect
93. #5163C22semidirect
94. #5162C22semidirect
99. #5111C22semidirect
101. #5102C22semidirect
104. #5087C22semidirect
106. #5081C22semidirect
107. #5049C22semidirect
109. #5045C22semidirect
115. #5026C22semidirect
116. #5022C22semidirect
123. #4967C22semidirect
126. #4964C22semidirect
140. #4870C22semidirect
141. #4870C22semidirect
145. #4868C22semidirect
148. #4864C22semidirect
150. #4863C22semidirect
151. #4862C22semidirect
152. #4861C22semidirect
153. D3×#106C22semidirect
154. #4857C22semidirect
155. #4857C22semidirect
156. #4857C22semidirect
157. #4856C22semidirect
158. #4856C22semidirect
159. #4856C22semidirect
160. #4855C22semidirect
161. #4854C22semidirect
162. #4854C22semidirect
163. #4852C22semidirect
166. #4839C22semidirect
167. #4828C22semidirect
169. #4818C22semidirect
174. #4797C22semidirect
175. #4797C22semidirect
176. #4796C22semidirect
177. #4796C22semidirect
179. #4791C22semidirect
184. #4780C22semidirect
186. #4774C22semidirect
187. #4762C22semidirect
188. #4761C22semidirect
189. #4759C22semidirect
190. #4757C22semidirect
196. #4728C22semidirect
198. #4720C22semidirect
202. #4690C22semidirect
203. #4679C22semidirect
215. #3335D3semidirect
560. #498C2×D3semidirect
574. #483C2×D3semidirect
582. #481C2×D3semidirect
608. #476C2×D3semidirect
612. #475C2×D3semidirect
626. #465C2×D3semidirect
654. C4×SD16C2×D3semidirect
671. C2×#106C2×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
#866962
C3×#33352
#836252
#835262
#819052
#818982
#814462
#814322
#814232
#814202
#813352
#813222
#813122
#813102
#810552
#810502
#810142
#810052
#806842
#806812
#806442
#806402
#796972
#796302
#794412
#794072
#791302
C2×#48712
#791272
#791242
#621663