Finite Group Databasebeta

← #11692017

Subgroups — #11692017

Order 768.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87054C211yesmaximal, characteristic, complemented
2#86945C211yesmaximal, characteristic, complemented
3C3×#3370C211yesmaximal, characteristic, complemented
4#83718C211yesmaximal, characteristic, complemented
5#83630C211yesmaximal, characteristic, complemented
6#81725C211yesmaximal, characteristic, complemented
7#81722C211yesmaximal, characteristic, complemented
8#81698C211yesmaximal, characteristic, complemented
9#81695C211yesmaximal, characteristic, complemented
10#81652C211yesmaximal, characteristic, complemented
11#81650C211yesmaximal, characteristic, complemented
12#81257C211yesmaximal, characteristic, complemented
13#81229C211yesmaximal, characteristic, complemented
14#81199C211yesmaximal, characteristic, complemented
15#81169C211yesmaximal, characteristic, complemented
16#80987C211yesmaximal, characteristic, complemented
17#80967C211yesmaximal, characteristic, complemented
18#80563C211yesmaximal, characteristic, complemented
19#80559C211yesmaximal, characteristic, complemented
20#80551C211yesmaximal, characteristic, complemented
21#80550C211yesmaximal, characteristic, complemented
22#80355C211yesmaximal, characteristic, complemented
23#80343C211yesmaximal, characteristic, complemented
24#79977C211yesmaximal, characteristic, complemented
25#79946C211yesmaximal, characteristic, complemented
26#79886C211yesmaximal, characteristic, complemented
27#79885C211yesmaximal, characteristic, complemented
28#79810C211yesmaximal, characteristic, complemented
29#79809C211yesmaximal, characteristic, complemented
30#79616C211yesmaximal, characteristic, complemented
31#79594C211yesmaximal, characteristic, complemented
32#62159—31nomaximal, Sylow
33C3×#559C2211yescharacteristic
34C3×#554C2211yescharacteristic, complemented
35#5732C2211yescharacteristic, complemented
36#5729C2211yescharacteristic, complemented
37#5717C2211yescharacteristic
38#5716C2211yescharacteristic
39#5694C2211yescharacteristic
40#5694C2211yescharacteristic, complemented
41#5689C2211yescharacteristic, complemented
42#5688C2211yescharacteristic, complemented
43#5682C2211yescharacteristic
44#5682C2211yescharacteristic
45#5677—21no—
46#5676C2211yescharacteristic
47#5676C2211yescharacteristic
48D3×#124—21no—
49#5658—21no—
50#5658—21no—
51#5657—21no—
52#5657—21no—
53#5647—21no—
54#5646—21no—
55#5641—21no—
56#5640—21no—
57#5640—21no—
58#5625—21no—
59#5584C2211yescharacteristic
60#5580C2211yescharacteristic
61Q8×D12C2211yescharacteristic
62C4×#239C2211yescharacteristic
63#5567C2211yescharacteristic, complemented
64#5563C2211yescharacteristic
65#5563C2211yescharacteristic
66#5563C2211yescharacteristic, complemented
67#5561C2211yescharacteristic, complemented
68#5561C2211yescharacteristic, complemented
69#5558C2211yescharacteristic
70#5558C2211yescharacteristic, complemented
71#5557—21no—
72#5557C2211yescharacteristic, complemented
73#5554—21no—
74#5545C2211yescharacteristic
75#5545C2211yescharacteristic
76#5515—21no—
77#5513—21no—
78C3×#490C2211yescharacteristic
79C3×#489C2211yescharacteristic, complemented
80C3×#488C2211yescharacteristic, complemented
81C3×#479C2211yescharacteristic, complemented
82C3×#478C2211yescharacteristic, complemented
83C3×#474C2211yescharacteristic, complemented
84C3×#463C2211yescharacteristic, complemented
85C3×#463C2211yescharacteristic, complemented
86C3×#459C2211yescharacteristic
87C3×#446C2211yescharacteristic, complemented
88C3×#442C2211yescharacteristic, complemented
89C3×#440C2211yescharacteristic, complemented
90C3×C4×D8C2211yescharacteristic, complemented
91#5174C2211yescharacteristic, complemented
92#5172C2211yescharacteristic
93#5171C2211yescharacteristic, complemented
94#5166C2211yescharacteristic, complemented
95#5159C2211yescharacteristic
96#5157C2211yescharacteristic
97#5157C2211yescharacteristic, complemented
98#5157C2211yescharacteristic, complemented
99#5156C2211yescharacteristic
100#5156C2211yescharacteristic
101#5153C2211yescharacteristic, complemented
102#5153C2211yescharacteristic, complemented
103#5084C2211yescharacteristic
104#5080C2211yescharacteristic, complemented
105#5075C2211yescharacteristic
106#5071C2211yescharacteristic
107#5066C2211yescharacteristic
108#5066C2211yescharacteristic
109#5064C2211yescharacteristic, complemented
110#5064C2211yescharacteristic, complemented
111#5056C2211yescharacteristic, complemented
112#5055C2211yescharacteristic, complemented
113#5054C2211yescharacteristic, complemented
114#5054C2211yescharacteristic, complemented
115#5030C2211yescharacteristic, complemented
116#5024C2211yescharacteristic, complemented
117#5022C2211yescharacteristic, complemented
118#5018C2211yescharacteristic, complemented
119C4×#214C2211yescharacteristic, complemented
120#5014C2211yescharacteristic
121#5014C2211yescharacteristic
122C4×#213C2211yescharacteristic
123#5009C2211yescharacteristic, complemented
124#5008C2211yescharacteristic, complemented
125#5008C2211yescharacteristic, complemented
126#5008C2211yescharacteristic, complemented
127#5007C2211yescharacteristic, complemented
128#4891C2211yescharacteristic
129#4890C2211yescharacteristic
130#4888C2211yescharacteristic, complemented
131#4888C2211yescharacteristic, complemented
132#4881C2211yescharacteristic, complemented
133#4880C2211yescharacteristic, complemented
134#4880C2211yescharacteristic, complemented
135#4880C2211yescharacteristic, complemented
136#4870C2211yescharacteristic
137#4868C2211yescharacteristic, complemented
138#4861C2211yescharacteristic, complemented
139#4860C2211yescharacteristic, complemented
140#4851C2211yescharacteristic, complemented
141#4850C2211yescharacteristic, complemented
142#4850C2211yescharacteristic, complemented
143#4847C2211yescharacteristic
144#4847C2211yescharacteristic
145#4846C2211yescharacteristic
146#4839C2211yescharacteristic, complemented
147#4839C2211yescharacteristic, complemented
148#4836C2211yescharacteristic
149#4836C2211yescharacteristic, complemented
150#4834C2211yescharacteristic, complemented
151D3×C4⋊C8C2211yescharacteristic, complemented
152#4816C2211yescharacteristic, complemented
153#4814C2211yescharacteristic, complemented
154#4814C2211yescharacteristic, complemented
155#4813C2211yescharacteristic, complemented
156#4811C2211yescharacteristic, complemented
157#4808C2211yescharacteristic
158#4805C2211yescharacteristic, complemented
159#4804C2211yescharacteristic
160#4804C2211yescharacteristic
161#4796C2211yescharacteristic, complemented
162#4793C2211yescharacteristic, complemented
163#4791C2211yescharacteristic, complemented
164#4787C2211yescharacteristic
165#4784C2211yescharacteristic
166#4784C2211yescharacteristic
167#4784C2211yescharacteristic, complemented
168#4784C2211yescharacteristic, complemented
169#4784C2211yescharacteristic, complemented
170#4784C2211yescharacteristic, complemented
171#4780C2211yescharacteristic
172#4779C2211yescharacteristic, complemented
173#4779C2211yescharacteristic, complemented
174#4779C2211yescharacteristic, complemented
175#4778C2211yescharacteristic
176#4778C2211yescharacteristic, complemented
177#4778C2211yescharacteristic, complemented
178#4777C2211yescharacteristic
179#4776C2211yescharacteristic
180#4776C2211yescharacteristic
181#4774C2211yescharacteristic
182#4770C2211yescharacteristic
183#4770C2211yescharacteristic
184D3×#102C2211yescharacteristic
185D3×#102C2211yescharacteristic
186#4766C2211yescharacteristic, complemented
187#4766C2211yescharacteristic, complemented
188#4761C2211yescharacteristic, complemented
189#4761C2211yescharacteristic, complemented
190#4759C2211yescharacteristic, complemented
191#4759C2211yescharacteristic, complemented
192#4710C2211yescharacteristic
193#4710C2211yescharacteristic
194#4709C2211yescharacteristic, complemented
195#4706C2211yescharacteristic
196#4706C2211yescharacteristic, complemented
197#4705C2211yescharacteristic, complemented
198#4702C2211yescharacteristic, complemented
199#4702C2211yescharacteristic, complemented
200C4×#204C2211yescharacteristic
201#4690C2211yescharacteristic, complemented
202C8×D12C2211yescharacteristic, complemented
203#4682C2211yescharacteristic, complemented
204#3565—31no—
205#3514—31no—
206#3386—31no—
207#3384—31no—
208#3371—31no—
209#3370D311yescharacteristic, complemented
210#3350—31no—
211#3349—31no—
212#3348—31no—
213#3347—31no—
214#3341—31no—
215#3340—31no—
216#3319—31no—
217#3318—31no—
218#3311—31no—
219#3310—31no—
220#3297—31no—
221#3296—31no—
222#3263—31no—
223#3262—31no—
224#3247—31no—
225#3244—31no—
226#3243—31no—
227#3235—31no—
228#3118—31no—
229#3118—31no—
230#3111—31no—
231#3081—31no—
232#3081—31no—
233#3076—31no—
234#2992—31no—
235C2×#239C2311yescharacteristic
236C2×D3×Q8—21no—
237C2×#237—21no—
238C2×D3×D4—21no—
239C2×D3×D4C2311yescharacteristic
240C2×D3×D4C2311yescharacteristic
241C2×C3×SD16C2311yescharacteristic
242C2×C3×D8C2311yescharacteristic
243C2×C3×D8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×#127C2311yescharacteristic
246C3×#125C2311yescharacteristic
247C3×#125C2311yescharacteristic
248C3×#124—21no—
249C3×#124C2311yescharacteristic
250C3×#124C2311yescharacteristic
251C3×#123—21no—
252C3×#123—21no—
253C3×C22⋊Q8—21no—
254C3×C22⋊Q8—21no—
255C3×C22⋊Q8—21no—
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×D4—21no—
259C3×C4×D4C2311yescharacteristic
260C3×C4×D4C2311yescharacteristic
261C3×C4×D4C2311yescharacteristic
262C3×C4×D4C2311yescharacteristic
263C3×C4×D4C2311yescharacteristic
264C2×C3×C4⋊C4—21no—
265#947—21no—
266#947D411yescharacteristic
267#946—21no—
268#946D411yescharacteristic
269#946C2311yescharacteristic
270#946C2311yescharacteristic
271Q8×Dic3—21no—
272Q8×Dic3C2311yescharacteristic
273#944—21no—
274#944—21no—
275C2×#216C2311yescharacteristic
276#938—21no—
277#938—21no—
278#938C2311yescharacteristic
279#938C2311yescharacteristic
280#938C2311yescharacteristic
281#938C2311yescharacteristic
282#938C2311yescharacteristic
283#938C2311yescharacteristic
284#938C2311yescharacteristic
285#937—21no—
286#937—21no—
287#936—21no—
288#936C2311yescharacteristic
289D4×Dic3—21no—
290D4×Dic3C2311yescharacteristic
291D4×Dic3C2311yescharacteristic
292C2×#214C2311yescharacteristic
293C2×#214C2311yescharacteristic
294C2×#213C2311yescharacteristic
295#930—21no—
296#930—21no—
297#930—21no—
298#929—21no—
299#929—21no—
300#929—21no—
301#929—21no—
302C4×#67—21no—
303C4×#67—21no—
304C4×#67—21no—
305C4×#67—21no—
306C4×#67—21no—
307C2×(C2×D3)⋊C4—21no—
308C2×(C2×D3)⋊C4—21no—
309#926—21no—
310#926—21no—
311#926—21no—
312#926—21no—
313#924—21no—
314#924—21no—
315C2×#204C2311yescharacteristic
316C2×ΓL(1,𝔽25)C2311yescharacteristic
317C2×ΓL(1,𝔽25)C2311yescharacteristic
318C2×D3×C8C2311yescharacteristic
319C2×D3×C8C2311yescharacteristic
320C2×D3×C8C2311yescharacteristic
321C2×D3×C8C2311yescharacteristic
322#898—21no—
323#898—21no—
324#898—21no—
325#898—21no—
326#898—21no—
327#898—21no—
328#898D411yescharacteristic
329#898D411yescharacteristic
330#897—21no—
331#897—21no—
332#897—21no—
333#897—21no—
334#897C2311yescharacteristic
335#897C2311yescharacteristic
336#897C2311yescharacteristic
337#896—21no—
338#896—21no—
339#896—21no—
340#896—21no—
341#895D411yescharacteristic
342#894—21no—
343#894—21no—
344#894D411yescharacteristic
345#894D411yescharacteristic
346#893—21no—
347#893C2311yescharacteristic
348#892—21no—
349#892—21no—
350#892—21no—
351#892C2311yescharacteristic
352#892C2311yescharacteristic
353#892C2311yescharacteristic
354#892C2311yescharacteristic
355#892C2311yescharacteristic
356#892C2311yescharacteristic
357#892C2311yescharacteristic
358D3×C4⋊C4C2311yescharacteristic
359D3×C4⋊C4C2311yescharacteristic
360#890—21no—
361#890—21no—
362#890D411yescharacteristic
363#890C2311yescharacteristic
364#889—21no—
365#889—21no—
366#889—21no—
367#889—21no—
368#888—21no—
369#888C2311yescharacteristic
370#888C2311yescharacteristic
371#887—21no—
372#887—21no—
373#887—21no—
374#886—21no—
375#886—21no—
376#885—21no—
377#885—21no—
378#885—21no—
379#885—21no—
380#885—21no—
381#885—21no—
382#885—21no—
383#885—21no—
384#885—21no—
385#885—21no—
386#884—21no—
387#884—21no—
388#884—21no—
389#884—21no—
390#883—21no—
391#883—21no—
392#883—21no—
393#882—21no—
394#882—21no—
395#67⋊C4—21no—
396#67⋊C4—21no—
397D3×C22⋊C4—21no—
398D3×C22⋊C4—21no—
399D3×C22⋊C4—21no—
400D3×C22⋊C4—21no—
401#879—21no—
402#879—21no—
403#879—21no—
404#879—21no—
405#879—21no—
406#879—21no—
407#879—21no—
408#878—21no—
409#878—21no—
410#875—21no—
411C4×D12—21no—
412C4×D12C2311yescharacteristic
413C4×D12C2311yescharacteristic
414C4×D12C2311yescharacteristic
415C4×D12C2311yescharacteristic
416C4×D12C2311yescharacteristic
417C4×D12C2311yescharacteristic
418#872C2311yescharacteristic
419#872C2311yescharacteristic
420C42×D3—21no—
421C42×D3C2311yescharacteristic
422#870C2311yescharacteristic
423#870C2311yescharacteristic
424#869C2311yescharacteristic
425#869C2311yescharacteristic
426#869C2311yescharacteristic
427#869C2311yescharacteristic
428C4×Dic6—21no—
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×C4⋊C8C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#102C2311yescharacteristic
442C3×#102C2311yescharacteristic
443C3×#102C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×#97C2311yescharacteristic
449C3×#97C2311yescharacteristic
450C3×C4×C8C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#832C2311yescharacteristic
455#832C2311yescharacteristic
456#832C2311yescharacteristic
457#832C2311yescharacteristic
458#832C2311yescharacteristic
459#832C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462#832C2311yescharacteristic
463#821C2311yescharacteristic
464#821C2311yescharacteristic
465#821C2311yescharacteristic
466(C2×D3)⋊C8C2311yescharacteristic
467(C2×D3)⋊C8C2311yescharacteristic
468(C2×D3)⋊C8C2311yescharacteristic
469(C2×D3)⋊C8C2311yescharacteristic
470(C2×D3)⋊C8C2311yescharacteristic
471(C2×D3)⋊C8C2311yescharacteristic
472#818C2311yescharacteristic
473#818C2311yescharacteristic
474#818C2311yescharacteristic
475#818C2311yescharacteristic
476#818C2311yescharacteristic
477#818C2311yescharacteristic
478#817C2311yescharacteristic
479#817C2311yescharacteristic
480#817C2311yescharacteristic
481#816C2311yescharacteristic
482#816C2311yescharacteristic
483#816C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487Dic3⋊C8C2311yescharacteristic
488#810C2311yescharacteristic
489#809C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#808C2311yescharacteristic
493#808C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#807C2311yescharacteristic
501#807C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504C4⋊(C3⋊C8)C2311yescharacteristic
505C4⋊(C3⋊C8)C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507#803C2311yescharacteristic
508#803C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#562—61no—
512#559C2×D311yescharacteristic
513#557—31no—
514#556—31no—
515#556—31no—
516#556—61no—
517#555—31no—
518#555—31no—
519#555—31no—
520#554C2×D311yescharacteristic, complemented
521#553—31no—
522#553—31no—
523#552—31no—
524#552—31no—
525#552—61no—
526#551—61no—
527#551—61no—
528D4×Q8—31no—
529#548—61no—
530#546—31no—
531#546—31no—
532#546—61no—
533D42—31no—
534#544—31no—
535#544—31no—
536#542—31no—
537#542—31no—
538#542—31no—
539#542—31no—
540#542—61no—
541#542—61no—
542#541—61no—
543#539—61no—
544#538—61no—
545#538—61no—
546#533—31no—
547#532—31no—
548#529—31no—
549#529—31no—
550#529—61no—
551C2×#124—61no—
552#518—31no—
553#518—31no—
554C4×#41—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#500—31no—
560#498—31no—
561#490—31no—
562#490C2×D311yescharacteristic
563#489—31no—
564#489C2×D311yescharacteristic, complemented
565#488—31no—
566#488C2×D311yescharacteristic, complemented
567#485—31no—
568#485—31no—
569#485—31no—
570#485—31no—
571#485—31no—
572#484—31no—
573#483—31no—
574#482—31no—
575#482—31no—
576#482—31no—
577#482—31no—
578#482—31no—
579#482—31no—
580#482—31no—
581#482—31no—
582#482—31no—
583#481—31no—
584#480—31no—
585#479—31no—
586#479—31no—
587#479C2×D311yescharacteristic, complemented
588#478—31no—
589#478—31no—
590#478—31no—
591#478—31no—
592#478—31no—
593#478—31no—
594#478—31no—
595#478—31no—
596#478C2×D311yescharacteristic, complemented
597#477—31no—
598#477—31no—
599#477—31no—
600#476—31no—
601#476—31no—
602#476—31no—
603#476—31no—
604#476—31no—
605#476—31no—
606#476—31no—
607#475—31no—
608#475—31no—
609#474—31no—
610#474—31no—
611#474—31no—
612#474—31no—
613#474—31no—
614#474C2×D311yescharacteristic, complemented
615#470—31no—
616#469—31no—
617#468—31no—
618#468—31no—
619#467—31no—
620#466—31no—
621#466—31no—
622#466—31no—
623#465—31no—
624#465—31no—
625#465—31no—
626#465—31no—
627#464—31no—
628#464—31no—
629#464—31no—
630#463—31no—
631#463—31no—
632#463—31no—
633#463C2×D311yescharacteristic, complemented
634#463C2×D311yescharacteristic, complemented
635#460—31no—
636#459C2×D311yescharacteristic
637#452—31no—
638#450—31no—
639#450—31no—
640#449—31no—
641#447—31no—
642#447—31no—
643#446—31no—
644#446C2×D311yescharacteristic, complemented
645#442—31no—
646#442—31no—
647#442C2×D311yescharacteristic, complemented
648#441—31no—
649#440—31no—
650#440—31no—
651#440—31no—
652#440C2×D311yescharacteristic, complemented
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8C2×D311yescharacteristic, complemented
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#428—31no—
668#427—31no—
669#427—31no—
670#427—31no—
671#427—31no—
672#424—31no—
673#424—31no—
674C2×C4⋊C8—31no—
675#418—31no—
676#418—31no—
677#416—31no—
678#416—31no—
679C2×#102—31no—
680C2×#102—31no—
681C23×D3—21no—
682C23×D3—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2×D411yescharacteristic
685C2×C3×Q8C2411yescharacteristic
686C2×C3×D4—21no—
687C2×C3×D4—21no—
688C2×C3×D4C2411yescharacteristic
689C2×C3×D4C2411yescharacteristic
690C2×C3×D4C2411yescharacteristic
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C22×C3×C4—21no—
696C2×#67—21no—
697C2×#67—21no—
698C2×#67—21no—
699C2×#67—21no—
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67—21no—
704C2×#67—21no—
705C22×Dic3—21no—
706C22×Dic3—21no—
707#239—22no—
708#239—41no—
709D3×Q8—82no—
710#237—82no—
711D3×D4—22no—
712D3×D4—22no—
713D3×D4—41no—
714D3×D4—41no—
715D3×D4—82no—
716C2×D12—21no—
717C2×D12C2×D411yescharacteristic
718C2×D12C2×D411yescharacteristic
719C2×D12C2×D411yescharacteristic
720C2×D12C2411yescharacteristic
721C2×C4×D3—21no—
722C2×C4×D3—21no—
723C2×C4×D3—21no—
724C2×C4×D3—21no—
725C2×C4×D3—21no—
726C2×C4×D3—21no—
727C2×C4×D3—21no—
728C2×C4×D3C2×D411yescharacteristic
729C2×C4×D3C2×D411yescharacteristic
730C2×C4×D3C2411yescharacteristic
731C2×C4×D3C2411yescharacteristic
732C2×C4×D3C2411yescharacteristic
733C2×Dic6—21no—
734C2×Dic6—21no—
735C2×Dic6—21no—
736C2×Dic6—21no—
737C2×Dic6—21no—
738C2×Dic6—21no—
739C2×Dic6C2411yescharacteristic
740C3×SD16—41no—
741C3×D8—41no—
742C3×D8—41no—
743C2×C3×C8C2411yescharacteristic
744C2×C3×C8C2411yescharacteristic
745C2×C3×C8C2411yescharacteristic
746C2×C3×C8C2411yescharacteristic
747C3×C4⋊C4—21no—
748C3×C4⋊C4—21no—
749C3×C4⋊C4—21no—
750C3×C4⋊C4—21no—
751C3×C4⋊C4—21no—
752C3×C4⋊C4—21no—
753C3×C4⋊C4C2×D411yescharacteristic
754C3×C4⋊C4C2×D411yescharacteristic
755C3×C4⋊C4C2×D411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C4⋊C4C2411yescharacteristic
758C3×C4⋊C4C2411yescharacteristic
759C3×C4⋊C4C2411yescharacteristic
760C3×C22⋊C4—21no—
761C3×C22⋊C4—21no—
762C3×C22⋊C4—21no—
763C3×C22⋊C4—21no—
764C3×C22⋊C4—21no—
765C3×C22⋊C4—21no—
766C3×C22⋊C4—21no—
767C3×C22⋊C4—21no—
768C3×C22⋊C4—21no—
769C3×C42—21no—
770C3×C42C2411yescharacteristic
771C3×C42C2411yescharacteristic
772C3×C42C2411yescharacteristic
773#217—21no—
774#217—21no—
775#217—21no—
776#217—21no—
777#217—21no—
778#217—21no—
779#217—21no—
780#217—21no—
781#217—21no—
782#217—21no—
783#217—21no—
784#216—41no—
785#214—41no—
786#214—41no—
787#213—22no—
788(C2×D3)⋊C4—21no—
789(C2×D3)⋊C4—21no—
790(C2×D3)⋊C4—21no—
791(C2×D3)⋊C4—21no—
792(C2×D3)⋊C4—21no—
793(C2×D3)⋊C4—21no—
794(C2×D3)⋊C4—21no—
795(C2×D3)⋊C4—21no—
796(C2×D3)⋊C4—21no—
797(C2×D3)⋊C4—21no—
798(C2×D3)⋊C4—21no—
799(C2×D3)⋊C4—21no—
800(C2×D3)⋊C4—21no—
801(C2×D3)⋊C4—21no—
802(C2×D3)⋊C4—21no—
803(C2×D3)⋊C4—21no—
804(C2×D3)⋊C4C2×D411yescharacteristic
805(C2×D3)⋊C4C2×D411yescharacteristic
806(C2×D3)⋊C4C2×D411yescharacteristic
807(C2×D3)⋊C4C2×D411yescharacteristic
808(C2×D3)⋊C4C2×D411yescharacteristic
809(C2×D3)⋊C4C2×D411yescharacteristic
810(C2×D3)⋊C4C2×D411yescharacteristic
811(C2×D3)⋊C4C2×D411yescharacteristic
812(C2×D3)⋊C4C2×D411yescharacteristic
813(C2×D3)⋊C4C2×D411yescharacteristic
814C4⋊Dic3—21no—
815C4⋊Dic3—21no—
816C4⋊Dic3—21no—
817C4⋊Dic3—21no—
818C4⋊Dic3—21no—
819C4⋊Dic3—21no—
820C4⋊Dic3—21no—
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3C2×D411yescharacteristic
824C4⋊Dic3C2×D411yescharacteristic
825C4⋊Dic3C2×D411yescharacteristic
826C4⋊Dic3C2411yescharacteristic
827C4⋊Dic3C2411yescharacteristic
828C4⋊Dic3C2411yescharacteristic
829C4⋊Dic3C2411yescharacteristic
830C4⋊Dic3C2411yescharacteristic
831C4⋊Dic3C2411yescharacteristic
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
850C4×Dic3—21no—
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3C2×D411yescharacteristic
862C4×Dic3C2×D411yescharacteristic
863C4×Dic3C2411yescharacteristic
864C2×C3⋊C8C2411yescharacteristic
865C2×C3⋊C8C2411yescharacteristic
866C2×C3⋊C8C2411yescharacteristic
867C2×C3⋊C8C2411yescharacteristic
868#204—22no—
869ΓL(1,𝔽25)—41no—
870ΓL(1,𝔽25)—41no—
871D3×C8—41no—
872D3×C8—41no—
873D3×C8—41no—
874D3×C8—41no—
875C2×#41—31no—
876C2×#41—61no—
877C22×Q8—61no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—61no—
881C2×Q16—31no—
882C2×SD16—31no—
883C2×SD16—31no—
884C2×SD16—31no—
885C2×SD16C22×D311yescharacteristic
886C2×D8—31no—
887C2×D8C22×D311yescharacteristic
888C2×D8C22×D311yescharacteristic
889C2×M16—31no—
890C2×M16—31no—
891C22×C8—31no—
892C22×C8—31no—
893C22×C8—31no—
894C22×C8—31no—
895C4⋊Q8—31no—
896C4⋊Q8—31no—
897C4⋊Q8—31no—
898C4⋊Q8—31no—
899C4⋊Q8—31no—
900C4⋊Q8—31no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8C22×D311yescharacteristic
905#127C22×D311yescharacteristic
906#126—31no—
907#126—31no—
908#126—61no—
909#126—61no—
910#126—61no—
911#126—61no—
912#126—61no—
913#126—61no—
914#126—61no—
915#126—61no—
916#126—61no—
917#126—61no—
918#126—61no—
919#126—61no—
920#126—61no—
921#125—31no—
922#125—31no—
923#125—31no—
924#125—31no—
925#125—61no—
926#125—61no—
927#125—61no—
928#125—61no—
929#125—61no—
930#125—61no—
931#125C22×D311yescharacteristic
932#125C22×D311yescharacteristic
933#124—21no—
934#124—31no—
935#124—31no—
936#124—61no—
937#124—61no—
938#124—61no—
939#124—61no—
940#124—61no—
941#124—61no—
942#124—61no—
943#124—61no—
944#124—61no—
945#124—61no—
946#124—61no—
947#124—61no—
948#124—61no—
949#124C22×D311yescharacteristic
950#124C22×D311yescharacteristic
951#123—21no—
952#123—21no—
953#123—31no—
954#123—31no—
955#123—61no—
956#123—61no—
957#123—61no—
958#123—61no—
959#123—61no—
960#123—61no—
961#123—61no—
962#123—61no—
963#123—61no—
964#123—61no—
965#123—61no—
966C22⋊Q8—21no—
967C22⋊Q8—21no—
968C22⋊Q8—21no—
969C22⋊Q8—31no—
970C22⋊Q8—31no—
971C22⋊Q8—31no—
972C22⋊Q8—31no—
973C22⋊Q8—31no—
974C22⋊Q8—31no—
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—
988#121—31no—
989#121—31no—
990#121—31no—
991#121—31no—
992#121—31no—
993#121—31no—
994#121—31no—
995#121—31no—
996#121—61no—
997#121—61no—
998#121—61no—
999#121—61no—
1000#121—61no—
1001#121—61no—
1002#121—61no—
1003#121—61no—
1004#121—61no—
1005#120—61no—
1006#120—61no—
1007#120—61no—
1008#120—61no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—61no—
1014C4×Q8—61no—
1015C4×Q8—61no—
1016C4×Q8—61no—
1017C4×Q8—61no—
1018C4×Q8C22×D311yescharacteristic
1019C4×Q8C22×D311yescharacteristic
1020C4×D4—21no—
1021C4×D4—31no—
1022C4×D4—31no—
1023C4×D4—31no—
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—31no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4—61no—
1033C4×D4—61no—
1034C4×D4—61no—
1035C4×D4—61no—
1036C4×D4—61no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4C22×D311yescharacteristic
1041C4×D4C22×D311yescharacteristic
1042C4×D4C22×D311yescharacteristic
1043C4×D4C22×D311yescharacteristic
1044C4×D4C22×D311yescharacteristic
1045#117—31no—
1046#117—31no—
1047#117—31no—
1048#117—31no—
1049#117—31no—
1050#117—31no—
1051#117—31no—
1052#117—31no—
1053#117—31no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117—61no—
1058#117—61no—
1059#117—61no—
1060#117—61no—
1061C2×C4⋊C4—21no—
1062C2×C4⋊C4—31no—
1063C2×C4⋊C4—31no—
1064C2×C22⋊C4—61no—
1065C2×C22⋊C4—61no—
1066C2×C22⋊C4—61no—
1067C2×C22⋊C4—61no—
1068C2×C22⋊C4—61no—
1069C2×C22⋊C4—61no—
1070C2×C42—31no—
1071C2×C42—61no—
1072#107—31no—
1073#107—31no—
1074#107—31no—
1075#107—31no—
1076#107—31no—
1077#107—31no—
1078#107—31no—
1079#107—31no—
1080#107—31no—
1081#107—31no—
1082#107C22×D311yescharacteristic
1083#107C22×D311yescharacteristic
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#106C22×D311yescharacteristic
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8C22×D311yescharacteristic
1104C4⋊C8C22×D311yescharacteristic
1105C4⋊C8C22×D311yescharacteristic
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103C22×D311yescharacteristic
1114#103C22×D311yescharacteristic
1115#103C22×D311yescharacteristic
1116#102—31no—
1117#102—31no—
1118#102—31no—
1119#102—31no—
1120#102—31no—
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#102C22×D311yescharacteristic
1132#102C22×D311yescharacteristic
1133#102C22×D311yescharacteristic
1134#102C22×D311yescharacteristic
1135#102C22×D311yescharacteristic
1136#102C22×D311yescharacteristic
1137#102C22×D311yescharacteristic
1138C22⋊C8—31no—
1139C22⋊C8—31no—
1140C22⋊C8—31no—
1141C22⋊C8—31no—
1142C22⋊C8—31no—
1143C22⋊C8—31no—
1144#97—31no—
1145#97—31no—
1146#97C22×D311yescharacteristic
1147#97C22×D311yescharacteristic
1148C4×C8—31no—
1149C4×C8C22×D311yescharacteristic
1150C23×C3—21no—
1151C23×C3—21no—
1152C23×C3—21no—
1153C22×D3—21no—
1154C22×D3—42no—
1155C22×D3—42no—
1156C22×D3—81no—
1157C22×D3—81no—
1158C22×D3—81no—
1159C22×D3—81no—
1160C22×D3C22×D411yescharacteristic
1161C22×D3C22×D411yescharacteristic
1162C22×D3C22×D411yescharacteristic
1163C3×Q8—21no—
1164C3×Q8—21no—
1165C3×Q8—41no—
1166C3×Q8—81no—
1167C3×D4—21no—
1168C3×D4—21no—
1169C3×D4—21no—
1170C3×D4—21no—
1171C3×D4—21no—
1172C3×D4—21no—
1173C3×D4—42no—
1174C3×D4—81no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—81no—
1181C2×C3×C4—81no—
1182C2×C3×C4—81no—
1183C2×C3×C4—81no—
1184C2×C3×C4—81no—
1185C2×C3×C4C22×D411yescharacteristic
1186C2×C3×C4C22×D411yescharacteristic
1187C2×C3×C4C22×D411yescharacteristic
1188C2×C3×C4C22×D411yescharacteristic
1189C2×C3×C4C22×D411yescharacteristic
1190C2×C3×C4C22×D411yescharacteristic
1191C2×C3×C4C2511yescharacteristic
1192#67—42no—
1193#67—42no—
1194#67—81no—
1195#67—81no—
1196#67—81no—
1197#67—81no—
1198#67—81no—
1199#67—81no—
1200#67—81no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—81no—
1209C2×Dic3—81no—
1210C2×Dic3C22×D411yescharacteristic
1211C2×Dic3C22×D411yescharacteristic
1212C2×Dic3C22×D411yescharacteristic
1213C2×Dic3C22×D411yescharacteristic
1214C2×Dic3C22×D411yescharacteristic
1215D12—21no—
1216D12—41no—
1217D12—41no—
1218D12—41no—
1219D12—42no—
1220D122−1+412yes—
1221C4×D3—21no—
1222C4×D3—21no—
1223C4×D3—21no—
1224C4×D3—21no—
1225C4×D3—21no—
1226C4×D3—21no—
1227C4×D3—41no—
1228C4×D3—41no—
1229C4×D3—42no—
1230C4×D3—42no—
1231C4×D3—81no—
1232C4×D3—81no—
1233C4×D3—81no—
1234C4×D3—81no—
1235C4×D3—81no—
1236Dic6—21no—
1237Dic6—21no—
1238Dic6—42no—
1239Dic6—81no—
1240Dic6—81no—
1241Dic6—81no—
1242Dic6—81no—
1243Dic6—81no—
1244C3×C8—21no—
1245C3×C8—21no—
1246C3×C8—21no—
1247C3×C8—21no—
1248C3⋊C8—21no—
1249C3⋊C8—21no—
1250C3⋊C8—21no—
1251C3⋊C8—21no—
1252C24—61no—
1253C24—61no—
1254#41—62no—
1255#41—121no—
1256#41—242no—
1257C2×Q8—21no—
1258C2×Q8—31no—
1259C2×Q8—61no—
1260C2×Q8—61no—
1261C2×Q8—61no—
1262C2×Q8—61no—
1263C2×Q8—61no—
1264C2×Q8—61no—
1265C2×Q8—242no—
1266C2×Q8D3×D411yescharacteristic
1267C2×Q8C23×D311yescharacteristic
1268C2×D4—21no—
1269C2×D4—21no—
1270C2×D4—31no—
1271C2×D4—31no—
1272C2×D4—31no—
1273C2×D4—31no—
1274C2×D4—61no—
1275C2×D4—61no—
1276C2×D4—61no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—61no—
1280C2×D4—61no—
1281C2×D4—61no—
1282C2×D4—61no—
1283C2×D4—61no—
1284C2×D4—61no—
1285C2×D4—61no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—242no—
1289C2×D4C23×D311yescharacteristic
1290C2×D4C23×D311yescharacteristic
1291C2×D4C23×D311yescharacteristic
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—61no—
1303C22×C4—61no—
1304C22×C4—61no—
1305C22×C4—61no—
1306C22×C4—61no—
1307C22×C4—61no—
1308C22×C4—61no—
1309C22×C4—61no—
1310C22×C4—61no—
1311Q16—121no—
1312SD16—41no—
1313SD16—62no—
1314SD16—121no—
1315SD16—121no—
1316D8—41no—
1317D8—41no—
1318D8—62no—
1319M16—121no—
1320M16—121no—
1321C2×C8—31no—
1322C2×C8—31no—
1323C2×C8—31no—
1324C2×C8—31no—
1325C2×C8—121no—
1326C2×C8—121no—
1327C2×C8—121no—
1328C2×C8—121no—
1329C2×C8C23×D311yescharacteristic
1330C2×C8C23×D311yescharacteristic
1331C2×C8C23×D311yescharacteristic
1332C2×C8C23×D311yescharacteristic
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—31no—
1340C4⋊C4—31no—
1341C4⋊C4—31no—
1342C4⋊C4—31no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—31no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—31no—
1349C4⋊C4—31no—
1350C4⋊C4—31no—
1351C4⋊C4—31no—
1352C4⋊C4—61no—
1353C4⋊C4—61no—
1354C4⋊C4—61no—
1355C4⋊C4—61no—
1356C4⋊C4—61no—
1357C4⋊C4—61no—
1358C4⋊C4—61no—
1359C4⋊C4—61no—
1360C4⋊C4—61no—
1361C4⋊C4—61no—
1362C4⋊C4—61no—
1363C4⋊C4—61no—
1364C4⋊C4—61no—
1365C4⋊C4—61no—
1366C4⋊C4—61no—
1367C4⋊C4—61no—
1368C4⋊C4—61no—
1369C4⋊C4—61no—
1370C4⋊C4—61no—
1371C4⋊C4—61no—
1372C4⋊C4—61no—
1373C4⋊C4—61no—
1374C4⋊C4—61no—
1375C4⋊C4D3×D411yescharacteristic
1376C4⋊C4D3×D411yescharacteristic
1377C4⋊C4D3×D411yescharacteristic
1378C4⋊C4C23×D311yescharacteristic
1379C4⋊C4C23×D311yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C22⋊C4—21no—
1383C22⋊C4—21no—
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—21no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—31no—
1395C22⋊C4—31no—
1396C22⋊C4—31no—
1397C22⋊C4—31no—
1398C22⋊C4—31no—
1399C22⋊C4—31no—
1400C22⋊C4—31no—
1401C22⋊C4—61no—
1402C22⋊C4—61no—
1403C22⋊C4—61no—
1404C22⋊C4—61no—
1405C22⋊C4—61no—
1406C22⋊C4—61no—
1407C22⋊C4—61no—
1408C22⋊C4—61no—
1409C22⋊C4—61no—
1410C22⋊C4—61no—
1411C22⋊C4—61no—
1412C22⋊C4—61no—
1413C22⋊C4—61no—
1414C22⋊C4—61no—
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—
1428C42—21no—
1429C42—31no—
1430C42—31no—
1431C42—31no—
1432C42—61no—
1433C42—61no—
1434C42—61no—
1435C42—61no—
1436C42—61no—
1437C42—61no—
1438C42—61no—
1439C42—61no—
1440C42—61no—
1441C42—61no—
1442C42—61no—
1443C42C23×D311yescharacteristic
1444C42C23×D311yescharacteristic
1445C42C23×D311yescharacteristic
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3C23×D411yescharacteristic
1456C2×D3—21no—
1457C2×D3—21no—
1458C2×D3—21no—
1459C2×D3—21no—
1460C2×D3—21no—
1461C2×D3—21no—
1462C2×D3—21no—
1463C2×D3—21no—
1464C2×D3—21no—
1465C2×D3—22no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—162no—
1469C2×D3—162no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—21no—
1473C3×C4—21no—
1474C3×C4—21no—
1475C3×C4—21no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4C2×2−1+411yescharacteristic
1482C3×C4#58511yescharacteristic
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—21no—
1488Dic3—41no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—31no—
1499C23—31no—
1500C23—31no—
1501C23—61no—
1502C23—122no—
1503C23—122no—
1504C23—241no—
1505C23—241no—
1506C23—241no—
1507C23—241no—
1508Q8—21no—
1509Q8—21no—
1510Q8—41no—
1511Q8—61no—
1512Q8—61no—
1513Q8—81no—
1514Q8—122no—
1515Q8—241no—
1516Q8—241no—
1517Q8—241no—
1518Q8—241no—
1519Q8—241no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—32no—
1527D4—42no—
1528D4—61no—
1529D4—81no—
1530D4—121no—
1531D4—121no—
1532D4—121no—
1533D4—122no—
1534D4—122no—
1535D4—122no—
1536D4—241no—
1537D4—241no—
1538D4—241no—
1539D4—241no—
1540D4—241no—
1541D4—241no—
1542D4—241no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—31no—
1549C2×C4—31no—
1550C2×C4—31no—
1551C2×C4—31no—
1552C2×C4—31no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—121no—
1572C2×C4—121no—
1573C2×C4—122no—
1574C2×C4—122no—
1575C2×C4—241no—
1576C2×C4—241no—
1577C2×C4—241no—
1578C2×C4—241no—
1579C2×C4—241no—
1580C2×C4—241no—
1581C2×C4—241no—
1582C2×C4C2×D3×D411yescharacteristic
1583C2×C4C2×D3×D411yescharacteristic
1584C2×C4C2×D3×D411yescharacteristic
1585C2×C4C2×D3×D411yescharacteristic
1586C2×C4C2×D3×D411yescharacteristic
1587C2×C4C2×D3×D411yescharacteristic
1588C2×C4C24×D311yescharacteristic
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—61no—
1594C8—61no—
1595C8—61no—
1596C8—61no—
1597C2×C3—81no—
1598C2×C3—81no—
1599C2×C3—81no—
1600C2×C3#348911yescharacteristic
1601C2×C3#358411yescharacteristic
1602C2×C3#358511yescharacteristic
1603D3—41no—
1604D3—41no—
1605D3—41no—
1606D3—42no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—61no—
1617C22—61no—
1618C22—61no—
1619C22—61no—
1620C22—61no—
1621C22—61no—
1622C22—61no—
1623C22—61no—
1624C22—61no—
1625C22—62no—
1626C22—121no—
1627C22—121no—
1628C22—482no—
1629C22—482no—
1630C22C22×D3×D411yescharacteristic
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—61no—
1643C4—61no—
1644C4—61no—
1645C4—61no—
1646C4—61no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C4—121no—
1652C4—121no—
1653C4—121no—
1654C4#596411yescharacteristic
1655C4D3×2−1+411yescharacteristic
1656C3#6215911yescharacteristic, complemented, Sylow
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2—121no—
1661C2—121no—
1662C2—121no—
1663C2—122no—
1664C2#8671411yescharacteristic
1665C2#8720011yescharacteristic
1666C2#8720311yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3370C2
socleC22×C3C23×D4
hypercenter#3370D3
hypocenterC3#62159
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #87054C2semidirect
2. #86945C2semidirect
3. C3×#3370C2semidirect
4. #83718C2semidirect
5. #83630C2semidirect
6. #81725C2semidirect
7. #81722C2semidirect
8. #81698C2semidirect
9. #81695C2semidirect
10. #81652C2semidirect
11. #81650C2semidirect
12. #81257C2semidirect
13. #81229C2semidirect
14. #81199C2semidirect
15. #81169C2semidirect
16. #80987C2semidirect
17. #80967C2semidirect
18. #80563C2semidirect
19. #80559C2semidirect
20. #80551C2semidirect
21. #80550C2semidirect
22. #80355C2semidirect
23. #80343C2semidirect
24. #79977C2semidirect
25. #79946C2semidirect
26. #79886C2semidirect
27. #79885C2semidirect
28. #79810C2semidirect
29. #79809C2semidirect
30. #79616C2semidirect
31. #79594C2semidirect
34. C3×#554C22semidirect
35. #5732C22semidirect
36. #5729C22semidirect
40. #5694C22semidirect
41. #5689C22semidirect
42. #5688C22semidirect
63. #5567C22semidirect
66. #5563C22semidirect
67. #5561C22semidirect
68. #5561C22semidirect
70. #5558C22semidirect
72. #5557C22semidirect
79. C3×#489C22semidirect
80. C3×#488C22semidirect
81. C3×#479C22semidirect
82. C3×#478C22semidirect
83. C3×#474C22semidirect
84. C3×#463C22semidirect
85. C3×#463C22semidirect
87. C3×#446C22semidirect
88. C3×#442C22semidirect
89. C3×#440C22semidirect
90. C3×C4×D8C22semidirect
91. #5174C22semidirect
93. #5171C22semidirect
94. #5166C22semidirect
97. #5157C22semidirect
98. #5157C22semidirect
101. #5153C22semidirect
102. #5153C22semidirect
104. #5080C22semidirect
109. #5064C22semidirect
110. #5064C22semidirect
111. #5056C22semidirect
112. #5055C22semidirect
113. #5054C22semidirect
114. #5054C22semidirect
115. #5030C22semidirect
116. #5024C22semidirect
117. #5022C22semidirect
118. #5018C22semidirect
119. C4×#214C22semidirect
123. #5009C22semidirect
124. #5008C22semidirect
125. #5008C22semidirect
126. #5008C22semidirect
127. #5007C22semidirect
130. #4888C22semidirect
131. #4888C22semidirect
132. #4881C22semidirect
133. #4880C22semidirect
134. #4880C22semidirect
135. #4880C22semidirect
137. #4868C22semidirect
138. #4861C22semidirect
139. #4860C22semidirect
140. #4851C22semidirect
141. #4850C22semidirect
142. #4850C22semidirect
146. #4839C22semidirect
147. #4839C22semidirect
149. #4836C22semidirect
150. #4834C22semidirect
151. D3×C4⋊C8C22semidirect
152. #4816C22semidirect
153. #4814C22semidirect
154. #4814C22semidirect
155. #4813C22semidirect
156. #4811C22semidirect
158. #4805C22semidirect
161. #4796C22semidirect
162. #4793C22semidirect
163. #4791C22semidirect
167. #4784C22semidirect
168. #4784C22semidirect
169. #4784C22semidirect
170. #4784C22semidirect
172. #4779C22semidirect
173. #4779C22semidirect
174. #4779C22semidirect
176. #4778C22semidirect
177. #4778C22semidirect
186. #4766C22semidirect
187. #4766C22semidirect
188. #4761C22semidirect
189. #4761C22semidirect
190. #4759C22semidirect
191. #4759C22semidirect
194. #4709C22semidirect
196. #4706C22semidirect
197. #4705C22semidirect
198. #4702C22semidirect
199. #4702C22semidirect
201. #4690C22semidirect
202. C8×D12C22semidirect
203. #4682C22semidirect
209. #3370D3semidirect
520. #554C2×D3semidirect
564. #489C2×D3semidirect
566. #488C2×D3semidirect
587. #479C2×D3semidirect
596. #478C2×D3semidirect
614. #474C2×D3semidirect
633. #463C2×D3semidirect
634. #463C2×D3semidirect
644. #446C2×D3semidirect
647. #442C2×D3semidirect
652. #440C2×D3semidirect
656. C4×D8C2×D3semidirect
1656. C3#62159semidirect

Maximal subgroups

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

subgroupindex
#870542
#869452
C3×#33702
#837182
#836302
#817252
#817222
#816982
#816952
#816522
#816502
#812572
#812292
#811992
#811692
#809872
#809672
#805632
#805592
#805512
#805502
#803552
#803432
#799772
#799462
#798862
#798852
#798102
#798092
#796162
#795942
#621593