Finite Group Databasebeta

← #11692237

Subgroups — #11692237

Order 768.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87055C211yesmaximal, characteristic
2#87038C211yesmaximal, characteristic, complemented
3C3×#3371C211yesmaximal, characteristic, complemented
4#83718C211yesmaximal, characteristic, complemented
5#83683C211yesmaximal, characteristic, complemented
6#81726C211yesmaximal, characteristic, complemented
7#81721C211yesmaximal, characteristic, complemented
8#81701C211yesmaximal, characteristic, complemented
9#81695C211yesmaximal, characteristic, complemented
10#81654C211yesmaximal, characteristic, complemented
11#81651C211yesmaximal, characteristic, complemented
12#81255C211yesmaximal, characteristic, complemented
13D3×#479C211yesmaximal, characteristic, complemented
14#81196C211yesmaximal, characteristic, complemented
15#81171C211yesmaximal, characteristic, complemented
16#81081C211yesmaximal, characteristic, complemented
17#81063C211yesmaximal, characteristic, complemented
18#80620C211yesmaximal, characteristic, complemented
19#80616C211yesmaximal, characteristic, complemented
20#80579C211yesmaximal, characteristic, complemented
21#80578C211yesmaximal, characteristic, complemented
22#80398C211yesmaximal, characteristic, complemented
23#80366C211yesmaximal, characteristic, complemented
24#79986C211yesmaximal, characteristic, complemented
25#79946C211yesmaximal, characteristic, complemented
26#79845C211yesmaximal, characteristic, complemented
27#79833C211yesmaximal, characteristic, complemented
28#79806C211yesmaximal, characteristic, complemented
29#79786C211yesmaximal, characteristic, complemented
30#79688C211yesmaximal, characteristic, complemented
31#79657C211yesmaximal, characteristic, complemented
32#62169—31nomaximal, Sylow
33C3×#559C2211yescharacteristic
34C3×#557C2211yescharacteristic
35#5735—21no—
36#5730C2211yescharacteristic
37#5729—21no—
38#5729C2211yescharacteristic
39#5718C2211yescharacteristic
40#5716C2211yescharacteristic
41#5696—21no—
42#5694C2211yescharacteristic
43#5694C2211yescharacteristic
44#5693—21no—
45#5692—21no—
46#5689C2211yescharacteristic
47D3×#125C2211yescharacteristic
48C3⋊#564—21no—
49#5682C2211yescharacteristic
50#5682C2211yescharacteristic
51#5681—21no—
52#5680—21no—
53#5677C2211yescharacteristic
54#5677C2211yescharacteristic
55#5662—21no—
56#5662—21no—
57#5655—21no—
58#5655—21no—
59#5583—21no—
60#5583C2211yescharacteristic
61#5583C2211yescharacteristic
62#5581—21no—
63#5581C2211yescharacteristic
64#5581C2211yescharacteristic
65#5580C2211yescharacteristic
66#5579C2211yescharacteristic
67#5579C2211yescharacteristic
68#5578C2211yescharacteristic
69C4×D3×Q8C2211yescharacteristic
70#5567C2211yescharacteristic
71Q8×Dic6C2211yescharacteristic
72#5551C2211yescharacteristic
73#5551C2211yescharacteristic
74#5548—21no—
75#5546C2211yescharacteristic
76#5546C2211yescharacteristic
77#5539—21no—
78C3×#490C2211yescharacteristic
79C3×#489C2211yescharacteristic
80C3×#488C2211yescharacteristic
81C3×#479C2211yescharacteristic
82C3×#478C2211yescharacteristic
83C3×#476C2211yescharacteristic
84C3×#464C2211yescharacteristic
85C3×#464C2211yescharacteristic
86C3×#460C2211yescharacteristic
87C3×#446C2211yescharacteristic
88C3×#441C2211yescharacteristic
89C3×#440C2211yescharacteristic
90C3×C4×SD16C2211yescharacteristic
91#5189C2211yescharacteristic
92#5188C2211yescharacteristic
93#5186C2211yescharacteristic
94#5182C2211yescharacteristic
95#5174C2211yescharacteristic
96#5173C2211yescharacteristic
97#5173C2211yescharacteristic
98#5171C2211yescharacteristic
99#5171C2211yescharacteristic
100#5171C2211yescharacteristic
101#5162C2211yescharacteristic
102#5162C2211yescharacteristic
103#5094C2211yescharacteristic
104#5080C2211yescharacteristic
105#5075C2211yescharacteristic
106#5071C2211yescharacteristic
107#5064C2211yescharacteristic
108#5064C2211yescharacteristic
109#5063C2211yescharacteristic
110#5063C2211yescharacteristic
111#5056C2211yescharacteristic
112#5055C2211yescharacteristic
113#5054C2211yescharacteristic
114#5054C2211yescharacteristic
115#5030C2211yescharacteristic
116#5030C2211yescharacteristic
117#5030C2211yescharacteristic
118C4×#216C2211yescharacteristic
119#5024C2211yescharacteristic
120#5022C2211yescharacteristic
121#5021C2211yescharacteristic
122#5020C2211yescharacteristic
123#5020C2211yescharacteristic
124#5018C2211yescharacteristic
125C4×#214C2211yescharacteristic
126#5009C2211yescharacteristic
127#5008C2211yescharacteristic
128#4884C2211yescharacteristic
129#4881C2211yescharacteristic
130D3×#107C2211yescharacteristic
131#4877C2211yescharacteristic
132#4862C2211yescharacteristic
133#4862C2211yescharacteristic
134#4861C2211yescharacteristic
135D3×#106C2211yescharacteristic
136D3×#106C2211yescharacteristic
137D3×#106C2211yescharacteristic
138#4857C2211yescharacteristic
139#4854C2211yescharacteristic
140#4851C2211yescharacteristic
141#4851C2211yescharacteristic
142#4851C2211yescharacteristic
143#4850C2211yescharacteristic
144#4839C2211yescharacteristic
145#4839C2211yescharacteristic
146#4836C2211yescharacteristic
147#4836C2211yescharacteristic
148#4834C2211yescharacteristic
149D3×C4⋊C8C2211yescharacteristic
150#4829C2211yescharacteristic
151#4829C2211yescharacteristic
152#4816C2211yescharacteristic
153#4815C2211yescharacteristic
154#4814C2211yescharacteristic
155#4813C2211yescharacteristic
156#4811C2211yescharacteristic
157#4809C2211yescharacteristic
158#4805C2211yescharacteristic
159#4805C2211yescharacteristic
160#4805C2211yescharacteristic
161#4805C2211yescharacteristic
162D3×#103C2211yescharacteristic
163D3×#103C2211yescharacteristic
164#4799C2211yescharacteristic
165#4796C2211yescharacteristic
166#4795C2211yescharacteristic
167#4791C2211yescharacteristic
168#4784C2211yescharacteristic
169#4783C2211yescharacteristic
170#4783C2211yescharacteristic
171#4780C2211yescharacteristic
172#4779C2211yescharacteristic
173#4778C2211yescharacteristic
174#4778C2211yescharacteristic
175#4778C2211yescharacteristic
176#4777C2211yescharacteristic
177#4777C2211yescharacteristic
178#4777C2211yescharacteristic
179#4777C2211yescharacteristic
180#4774C2211yescharacteristic
181#4774C2211yescharacteristic
182#4772C2211yescharacteristic
183#4772C2211yescharacteristic
184#4771C2211yescharacteristic
185#4771C2211yescharacteristic
186#4766C2211yescharacteristic
187#4766C2211yescharacteristic
188#4763C2211yescharacteristic
189#4763C2211yescharacteristic
190#4761C2211yescharacteristic
191#4761C2211yescharacteristic
192#4716C2211yescharacteristic
193#4716C2211yescharacteristic
194#4709C2211yescharacteristic
195#4706C2211yescharacteristic
196#4706C2211yescharacteristic
197#4705C2211yescharacteristic
198#4702C2211yescharacteristic
199#4702C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4690C2211yescharacteristic
202C8×D12C2211yescharacteristic
203#4680C2211yescharacteristic
204#3563—31no—
205#3522—31no—
206#3387—31no—
207#3387—31no—
208#3371—31no—
209#3371D311yescharacteristic, complemented
210#3344—31no—
211#3344—31no—
212#3343—31no—
213#3343—31no—
214#3335—31no—
215#3335—31no—
216#3317—31no—
217#3317—31no—
218#3316—31no—
219#3316—31no—
220#3300—31no—
221#3300—31no—
222#3258—31no—
223#3258—31no—
224#3246—31no—
225#3244—31no—
226#3244—31no—
227#3234—31no—
228#3120—31no—
229#3120—31no—
230#3113—31no—
231#3084—31no—
232#3084—31no—
233C2×#479—31no—
234#2992—31no—
235C2×D3×Q8C2311yescharacteristic
236C2×#237—21no—
237C2×#237C2311yescharacteristic
238C2×#237C2311yescharacteristic
239C2×#235—21no—
240C2×#235—21no—
241C2×C3×Q16C2311yescharacteristic
242C2×C3×SD16C2311yescharacteristic
243C2×C3×SD16C2311yescharacteristic
244C3×C4⋊Q8—21no—
245C3×C4⋊Q8C2311yescharacteristic
246C3×#127C2311yescharacteristic
247C3×#125—21no—
248C3×#125—21no—
249C3×#125C2311yescharacteristic
250C3×#125C2311yescharacteristic
251C3×#124—21no—
252C3×#124C2311yescharacteristic
253C3×#124C2311yescharacteristic
254C3×#123—21no—
255C3×#123—21no—
256C3×C4×Q8—21no—
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×Q8C2311yescharacteristic
262C3×C4×D4—21no—
263C3×C4×D4C2311yescharacteristic
264C3×C4×D4C2311yescharacteristic
265#947D411yescharacteristic
266#946—21no—
267#946—21no—
268#946—21no—
269#946D411yescharacteristic
270#946C2311yescharacteristic
271#946C2311yescharacteristic
272#946C2311yescharacteristic
273#946C2311yescharacteristic
274#946C2311yescharacteristic
275Q8×Dic3—21no—
276Q8×Dic3C2311yescharacteristic
277#944—21no—
278#944—21no—
279#944C2311yescharacteristic
280C2×#216C2311yescharacteristic
281C2×#216C2311yescharacteristic
282#940—21no—
283#939—21no—
284#939—21no—
285#938—21no—
286#938C2311yescharacteristic
287#938C2311yescharacteristic
288#938C2311yescharacteristic
289#938C2311yescharacteristic
290#936—21no—
291D4×Dic3—21no—
292D4×Dic3—21no—
293D4×Dic3C2311yescharacteristic
294D4×Dic3C2311yescharacteristic
295C2×#214C2311yescharacteristic
296C2×#214C2311yescharacteristic
297C4×#67—21no—
298C4×#67—21no—
299#924—21no—
300#924—21no—
301C2×Dic3⋊C4—21no—
302C2×Dic3⋊C4—21no—
303C2×Dic12C2311yescharacteristic
304C2×ΓL(1,𝔽25)C2311yescharacteristic
305C2×ΓL(1,𝔽25)C2311yescharacteristic
306C2×D3×C8C2311yescharacteristic
307C2×D3×C8C2311yescharacteristic
308C2×D3×C8C2311yescharacteristic
309C2×D3×C8C2311yescharacteristic
310#898—21no—
311#898—21no—
312#898—21no—
313#898—21no—
314#898D411yescharacteristic
315#898D411yescharacteristic
316#897—21no—
317#897C2311yescharacteristic
318#897C2311yescharacteristic
319#897C2311yescharacteristic
320#896—21no—
321#896—21no—
322#896—21no—
323#896—21no—
324#896—21no—
325#896—21no—
326#896—21no—
327#895D411yescharacteristic
328#894—21no—
329#894—21no—
330#894—21no—
331#894—21no—
332#894D411yescharacteristic
333#894D411yescharacteristic
334#893—21no—
335#892—21no—
336#892—21no—
337#892C2311yescharacteristic
338#892C2311yescharacteristic
339D3×C4⋊C4—21no—
340D3×C4⋊C4—21no—
341D3×C4⋊C4—21no—
342D3×C4⋊C4C2311yescharacteristic
343D3×C4⋊C4C2311yescharacteristic
344D3×C4⋊C4C2311yescharacteristic
345D3×C4⋊C4C2311yescharacteristic
346D3×C4⋊C4C2311yescharacteristic
347D3×C4⋊C4C2311yescharacteristic
348D3×C4⋊C4C2311yescharacteristic
349#890—21no—
350#890—21no—
351#890—21no—
352#890D411yescharacteristic
353#890C2311yescharacteristic
354#890C2311yescharacteristic
355#889—21no—
356#889—21no—
357#889—21no—
358#889—21no—
359#889—21no—
360#889—21no—
361#889—21no—
362#889—21no—
363#889—21no—
364#889—21no—
365#889—21no—
366#888—21no—
367#888—21no—
368#888—21no—
369#888—21no—
370#888C2311yescharacteristic
371#887—21no—
372#887—21no—
373#887C2311yescharacteristic
374#886—21no—
375#886—21no—
376#885—21no—
377#885—21no—
378#885—21no—
379#885—21no—
380#884—21no—
381#884—21no—
382#883—21no—
383#883—21no—
384#883—21no—
385#883—21no—
386#67⋊C4—21no—
387#67⋊C4—21no—
388#67⋊C4—21no—
389#67⋊C4—21no—
390#879—21no—
391#879—21no—
392#878—21no—
393#878—21no—
394#878—21no—
395#878—21no—
396#877—21no—
397#877—21no—
398#876—21no—
399#876—21no—
400#876—21no—
401#876—21no—
402C4×D12—21no—
403C4×D12—21no—
404C4×D12C2311yescharacteristic
405C4×D12C2311yescharacteristic
406C4×D12C2311yescharacteristic
407#872—21no—
408#872—21no—
409#872—21no—
410#872C2311yescharacteristic
411#872C2311yescharacteristic
412C42×D3—21no—
413C42×D3C2311yescharacteristic
414#870—21no—
415#870—21no—
416#870—21no—
417#870—21no—
418#870C2311yescharacteristic
419#870C2311yescharacteristic
420#869C2311yescharacteristic
421#869C2311yescharacteristic
422#869C2311yescharacteristic
423#869C2311yescharacteristic
424C4×Dic6—21no—
425C4×Dic6—21no—
426C4×Dic6C2311yescharacteristic
427C4×Dic6C2311yescharacteristic
428C4×Dic6C2311yescharacteristic
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×C4⋊C8C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
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#835C2311yescharacteristic
455#835C2311yescharacteristic
456#835C2311yescharacteristic
457#832C2311yescharacteristic
458#832C2311yescharacteristic
459#832C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462#832C2311yescharacteristic
463(C2×D3)⋊C8C2311yescharacteristic
464(C2×D3)⋊C8C2311yescharacteristic
465(C2×D3)⋊C8C2311yescharacteristic
466(C2×D3)⋊C8C2311yescharacteristic
467(C2×D3)⋊C8C2311yescharacteristic
468(C2×D3)⋊C8C2311yescharacteristic
469#818C2311yescharacteristic
470#818C2311yescharacteristic
471#818C2311yescharacteristic
472#817C2311yescharacteristic
473#817C2311yescharacteristic
474#817C2311yescharacteristic
475#817C2311yescharacteristic
476#817C2311yescharacteristic
477#817C2311yescharacteristic
478#816C2311yescharacteristic
479#816C2311yescharacteristic
480#816C2311yescharacteristic
481#816C2311yescharacteristic
482#816C2311yescharacteristic
483#816C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487Dic3⋊C8C2311yescharacteristic
488#810C2311yescharacteristic
489#810C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
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#564—61no—
511#563—61no—
512#559—61no—
513#559C2×D311yescharacteristic
514Q82—31no—
515#557—31no—
516#557C2×D311yescharacteristic
517#554—31no—
518#554—31no—
519#554—31no—
520#554—61no—
521#552—31no—
522#552—31no—
523#552—31no—
524#552—31no—
525#552—61no—
526#552—61no—
527#550—31no—
528#548—31no—
529#548—31no—
530#547—31no—
531#547—31no—
532#547—61no—
533#547—61no—
534#544—31no—
535#544—31no—
536#544—61no—
537#542—31no—
538#542—31no—
539#542—61no—
540#542—61no—
541#541—31no—
542#541—31no—
543#541—61no—
544#541—61no—
545#539—61no—
546#533—31no—
547#532—31no—
548#532—61no—
549#529—31no—
550#529—61no—
551C2×#125—31no—
552#520—31no—
553#520—31no—
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#498—31no—
560#498—31no—
561#490—31no—
562#490C2×D311yescharacteristic
563#489—31no—
564#489C2×D311yescharacteristic
565#488—31no—
566#488C2×D311yescharacteristic
567#485—31no—
568#485—31no—
569#484—31no—
570#484—31no—
571#483—31no—
572#483—31no—
573#483—31no—
574#483—31no—
575#483—31no—
576#483—31no—
577#482—31no—
578#482—31no—
579#481—31no—
580#481—31no—
581#481—31no—
582#481—31no—
583#480—31no—
584#480—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#479—31no—
592#479—31no—
593#479—31no—
594#479C2×D311yescharacteristic
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478C2×D311yescharacteristic
601#477—31no—
602#477—31no—
603#476—31no—
604#476—31no—
605#476—31no—
606#476C2×D311yescharacteristic
607#475—31no—
608#475—31no—
609#475—31no—
610#475—31no—
611#475—31no—
612#475—31no—
613#475—31no—
614#475—31no—
615#470—31no—
616#470—31no—
617#468—31no—
618#468—31no—
619#467—31no—
620#467—31no—
621#465—31no—
622#465—31no—
623#465—31no—
624#465—31no—
625#465—31no—
626#465—31no—
627#464—31no—
628#464—31no—
629#464C2×D311yescharacteristic
630#464C2×D311yescharacteristic
631#462—31no—
632#462—31no—
633#461—31no—
634#461—31no—
635#460—31no—
636#460C2×D311yescharacteristic
637#452—31no—
638#452—31no—
639#452—31no—
640#452—31no—
641#451—31no—
642#451—31no—
643#446—31no—
644#446C2×D311yescharacteristic
645#441—31no—
646#441—31no—
647#441—31no—
648#441—31no—
649#441—31no—
650#441C2×D311yescharacteristic
651#440—31no—
652#440C2×D311yescharacteristic
653C4×Q16—31no—
654C4×Q16—31no—
655C4×SD16—31no—
656C4×SD16C2×D311yescharacteristic
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—
668C2×#107—31no—
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×#103—31no—
680C2×#103—31no—
681C2×C3×Q8—21no—
682C2×C3×Q8C2×D411yescharacteristic
683C2×C3×Q8C2411yescharacteristic
684C2×C3×Q8C2411yescharacteristic
685C2×C3×D4—21no—
686C2×C3×D4—21no—
687C2×C3×D4C2411yescharacteristic
688C2×C3×D4C2411yescharacteristic
689C22×C3×C4—21no—
690C22×C3×C4—21no—
691C2×#67—21no—
692C2×#67—21no—
693C2×#67—21no—
694C2×#67—21no—
695C2×#67—21no—
696C2×#67—21no—
697C22×Dic3—21no—
698C22×Dic3—21no—
699C22×Dic3—21no—
700C22×Dic3—21no—
701D3×Q8—22no—
702D3×Q8—41no—
703#237—22no—
704#237—22no—
705#237—41no—
706#237—41no—
707#237—82no—
708#235—82no—
709#235—82no—
710C2×D12C2×D411yescharacteristic
711C2×D12C2×D411yescharacteristic
712C2×D12C2×D411yescharacteristic
713C2×C4×D3—21no—
714C2×C4×D3—21no—
715C2×C4×D3—21no—
716C2×C4×D3—21no—
717C2×C4×D3—21no—
718C2×C4×D3—21no—
719C2×C4×D3—21no—
720C2×C4×D3—21no—
721C2×C4×D3C2×D411yescharacteristic
722C2×C4×D3C2×D411yescharacteristic
723C2×C4×D3C2411yescharacteristic
724C2×C4×D3C2411yescharacteristic
725C2×C4×D3C2411yescharacteristic
726C2×Dic6—21no—
727C2×Dic6—21no—
728C2×Dic6—21no—
729C2×Dic6—21no—
730C2×Dic6—21no—
731C2×Dic6—21no—
732C2×Dic6C2411yescharacteristic
733C2×Dic6C2411yescharacteristic
734C3×Q16—41no—
735C3×SD16—41no—
736C3×SD16—41no—
737C2×C3×C8C2411yescharacteristic
738C2×C3×C8C2411yescharacteristic
739C2×C3×C8C2411yescharacteristic
740C2×C3×C8C2411yescharacteristic
741C3×C4⋊C4—21no—
742C3×C4⋊C4—21no—
743C3×C4⋊C4—21no—
744C3×C4⋊C4—21no—
745C3×C4⋊C4—21no—
746C3×C4⋊C4—21no—
747C3×C4⋊C4—21no—
748C3×C4⋊C4—21no—
749C3×C4⋊C4—21no—
750C3×C4⋊C4C2×D411yescharacteristic
751C3×C4⋊C4C2×D411yescharacteristic
752C3×C4⋊C4C2×D411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C22⋊C4—21no—
758C3×C22⋊C4—21no—
759C3×C22⋊C4—21no—
760C3×C22⋊C4—21no—
761C3×C22⋊C4—21no—
762C3×C22⋊C4—21no—
763C3×C42—21no—
764C3×C42—21no—
765C3×C42—21no—
766C3×C42—21no—
767C3×C42C2411yescharacteristic
768C3×C42C2411yescharacteristic
769C3×C42C2411yescharacteristic
770#217—21no—
771#217—21no—
772#217—21no—
773#217—21no—
774#217—21no—
775#217—21no—
776#216—22no—
777#216—41no—
778#214—41no—
779#214—41no—
780(C2×D3)⋊C4—21no—
781(C2×D3)⋊C4—21no—
782(C2×D3)⋊C4—21no—
783(C2×D3)⋊C4—21no—
784(C2×D3)⋊C4—21no—
785(C2×D3)⋊C4—21no—
786(C2×D3)⋊C4—21no—
787(C2×D3)⋊C4—21no—
788(C2×D3)⋊C4—21no—
789(C2×D3)⋊C4—21no—
790(C2×D3)⋊C4C2×D411yescharacteristic
791(C2×D3)⋊C4C2×D411yescharacteristic
792(C2×D3)⋊C4C2×D411yescharacteristic
793(C2×D3)⋊C4C2×D411yescharacteristic
794(C2×D3)⋊C4C2×D411yescharacteristic
795(C2×D3)⋊C4C2×D411yescharacteristic
796(C2×D3)⋊C4C2×D411yescharacteristic
797(C2×D3)⋊C4C2×D411yescharacteristic
798(C2×D3)⋊C4C2×D411yescharacteristic
799(C2×D3)⋊C4C2×D411yescharacteristic
800C4⋊Dic3—21no—
801C4⋊Dic3—21no—
802C4⋊Dic3—21no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3—21no—
806C4⋊Dic3—21no—
807C4⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3—21no—
810C4⋊Dic3C2×D411yescharacteristic
811C4⋊Dic3C2×D411yescharacteristic
812C4⋊Dic3C2×D411yescharacteristic
813C4⋊Dic3C2411yescharacteristic
814C4⋊Dic3C2411yescharacteristic
815C4⋊Dic3C2411yescharacteristic
816C4⋊Dic3C2411yescharacteristic
817C4⋊Dic3C2411yescharacteristic
818C4⋊Dic3C2411yescharacteristic
819Dic3⋊C4—21no—
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
850Dic3⋊C4C2×D411yescharacteristic
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
868Dic12—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—31no—
877C2×#41—61no—
878C2×#41—61no—
879C2×#41—61no—
880C22×Q8—31no—
881C2×Q16—31no—
882C2×Q16—31no—
883C2×Q16—31no—
884C2×Q16C22×D311yescharacteristic
885C2×SD16—31no—
886C2×SD16—31no—
887C2×SD16C22×D311yescharacteristic
888C2×SD16C22×D311yescharacteristic
889C2×M16—31no—
890C2×M16—31no—
891C22×C8—31no—
892C22×C8—31no—
893C22×C8—31no—
894C22×C8—31no—
895C4⋊Q8—21no—
896C4⋊Q8—31no—
897C4⋊Q8—31no—
898C4⋊Q8—31no—
899C4⋊Q8—31no—
900C4⋊Q8—31no—
901C4⋊Q8—31no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8—61no—
906C4⋊Q8—61no—
907C4⋊Q8—61no—
908C4⋊Q8C22×D311yescharacteristic
909#127—61no—
910#127C22×D311yescharacteristic
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#126—61no—
922#126—61no—
923#125—21no—
924#125—21no—
925#125—31no—
926#125—31no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—61no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125—61no—
935#125—61no—
936#125—61no—
937#125—61no—
938#125—61no—
939#125—61no—
940#125—61no—
941#125—61no—
942#125—61no—
943#125—61no—
944#125—61no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125C22×D311yescharacteristic
949#125C22×D311yescharacteristic
950#124—21no—
951#124—31no—
952#124—61no—
953#124—61no—
954#124—61no—
955#124—61no—
956#124—61no—
957#124C22×D311yescharacteristic
958#124C22×D311yescharacteristic
959#123—21no—
960#123—21no—
961#123—31no—
962#123—31no—
963#123—61no—
964#123—61no—
965#123—61no—
966#123—61no—
967#123—61no—
968#123—61no—
969#123—61no—
970#123—61no—
971#123—61no—
972#123—61no—
973C22⋊Q8—31no—
974C22⋊Q8—31no—
975C22⋊Q8—31no—
976C22⋊Q8—31no—
977C22⋊Q8—31no—
978C22⋊Q8—31no—
979C22⋊Q8—31no—
980C22⋊Q8—31no—
981C22⋊Q8—31no—
982C22⋊Q8—61no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8—61no—
997C22⋊Q8—61no—
998C22⋊Q8—61no—
999#121—31no—
1000#121—31no—
1001#121—31no—
1002#121—31no—
1003#121—31no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121—61no—
1008#121—61no—
1009C4×Q8—21no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8C22×D311yescharacteristic
1024C4×Q8C22×D311yescharacteristic
1025C4×Q8C22×D311yescharacteristic
1026C4×Q8C22×D311yescharacteristic
1027C4×Q8C22×D311yescharacteristic
1028C4×D4—21no—
1029C4×D4—31no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—61no—
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×D4C22×D311yescharacteristic
1046C4×D4C22×D311yescharacteristic
1047#117—31no—
1048#117—31no—
1049#117—31no—
1050#117—31no—
1051#117—61no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117—61no—
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—31no—
1062C2×C4⋊C4—31no—
1063C2×C4⋊C4—31no—
1064C2×C4⋊C4—31no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4—61no—
1067C2×C4⋊C4—61no—
1068C2×C4⋊C4—61no—
1069C2×C4⋊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#107C22×D311yescharacteristic
1080#106—31no—
1081#106—31no—
1082#106—31no—
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#106C22×D311yescharacteristic
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#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103C22×D311yescharacteristic
1123#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
1130#102—31no—
1131#102—31no—
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—
1152C22×D3C22×D411yescharacteristic
1153C22×D3C22×D411yescharacteristic
1154C22×D3C22×D411yescharacteristic
1155C3×Q8—21no—
1156C3×Q8—21no—
1157C3×Q8—21no—
1158C3×Q8—21no—
1159C3×Q8—41no—
1160C3×Q8—81no—
1161C3×D4—21no—
1162C3×D4—21no—
1163C3×D4—21no—
1164C3×D4—21no—
1165C3×D4—42no—
1166C3×D4—81no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—81no—
1174C2×C3×C4—81no—
1175C2×C3×C4C22×D411yescharacteristic
1176C2×C3×C4C22×D411yescharacteristic
1177C2×C3×C4C22×D411yescharacteristic
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C22×D411yescharacteristic
1180C2×C3×C4C22×D411yescharacteristic
1181C2×C3×C4C2511yescharacteristic
1182#67—42no—
1183#67—42no—
1184#67—42no—
1185#67—42no—
1186#67—81no—
1187#67—81no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—42no—
1197C2×Dic3—42no—
1198C2×Dic3—81no—
1199C2×Dic3—81no—
1200C2×Dic3C22×D411yescharacteristic
1201C2×Dic3C22×D411yescharacteristic
1202C2×Dic3C22×D411yescharacteristic
1203C2×Dic3C22×D411yescharacteristic
1204C2×Dic3C22×D411yescharacteristic
1205D12—22no—
1206D12—22no—
1207D12—41no—
1208C4×D3—22no—
1209C4×D3—21no—
1210C4×D3—21no—
1211C4×D3—21no—
1212C4×D3—21no—
1213C4×D3—21no—
1214C4×D3—21no—
1215C4×D3—41no—
1216C4×D3—42no—
1217C4×D3—42no—
1218C4×D3—42no—
1219C4×D3—81no—
1220C4×D3—81no—
1221C4×D3—81no—
1222C4×D3—81no—
1223C4×D3—81no—
1224Dic6—21no—
1225Dic6—21no—
1226Dic6—21no—
1227Dic6—42no—
1228Dic6—81no—
1229Dic6—81no—
1230Dic6—81no—
1231Dic6—81no—
1232Dic6—81no—
1233Dic62−1+412yes—
1234C3×C8—21no—
1235C3×C8—21no—
1236C3×C8—21no—
1237C3×C8—21no—
1238C3⋊C8—21no—
1239C3⋊C8—21no—
1240C3⋊C8—21no—
1241C3⋊C8—21no—
1242#41—62no—
1243#41—62no—
1244#41—121no—
1245#41—121no—
1246#41—242no—
1247#41—242no—
1248#41—242no—
1249C2×Q8—21no—
1250C2×Q8—31no—
1251C2×Q8—31no—
1252C2×Q8—61no—
1253C2×Q8—61no—
1254C2×Q8—61no—
1255C2×Q8—61no—
1256C2×Q8—61no—
1257C2×Q8—61no—
1258C2×Q8—62no—
1259C2×Q8—121no—
1260C2×Q8D3×D411yescharacteristic
1261C2×Q8C23×D311yescharacteristic
1262C2×Q8C23×D311yescharacteristic
1263C2×D4—21no—
1264C2×D4—21no—
1265C2×D4—31no—
1266C2×D4—31no—
1267C2×D4—31no—
1268C2×D4—61no—
1269C2×D4—61no—
1270C2×D4—61no—
1271C2×D4—61no—
1272C2×D4—61no—
1273C2×D4—61no—
1274C2×D4C23×D311yescharacteristic
1275C2×D4C23×D311yescharacteristic
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—61no—
1284C22×C4—61no—
1285C22×C4—61no—
1286C22×C4—61no—
1287C22×C4—61no—
1288C22×C4—61no—
1289C22×C4—61no—
1290C22×C4—61no—
1291C22×C4—61no—
1292C22×C4—61no—
1293C22×C4—61no—
1294C22×C4—61no—
1295Q16—41no—
1296Q16—62no—
1297Q16—62no—
1298Q16—121no—
1299SD16—41no—
1300SD16—41no—
1301SD16—121no—
1302SD16—121no—
1303M16—121no—
1304M16—121no—
1305C2×C8—31no—
1306C2×C8—31no—
1307C2×C8—31no—
1308C2×C8—31no—
1309C2×C8—121no—
1310C2×C8—121no—
1311C2×C8—121no—
1312C2×C8—121no—
1313C2×C8C23×D311yescharacteristic
1314C2×C8C23×D311yescharacteristic
1315C2×C8C23×D311yescharacteristic
1316C2×C8C23×D311yescharacteristic
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—31no—
1327C4⋊C4—31no—
1328C4⋊C4—31no—
1329C4⋊C4—31no—
1330C4⋊C4—31no—
1331C4⋊C4—31no—
1332C4⋊C4—31no—
1333C4⋊C4—31no—
1334C4⋊C4—31no—
1335C4⋊C4—31no—
1336C4⋊C4—31no—
1337C4⋊C4—31no—
1338C4⋊C4—31no—
1339C4⋊C4—61no—
1340C4⋊C4—61no—
1341C4⋊C4—61no—
1342C4⋊C4—61no—
1343C4⋊C4—61no—
1344C4⋊C4—61no—
1345C4⋊C4—61no—
1346C4⋊C4—61no—
1347C4⋊C4—61no—
1348C4⋊C4—61no—
1349C4⋊C4—61no—
1350C4⋊C4—61no—
1351C4⋊C4—61no—
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⋊C4—61no—
1376C4⋊C4—61no—
1377C4⋊C4D3×D411yescharacteristic
1378C4⋊C4D3×D411yescharacteristic
1379C4⋊C4D3×D411yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C4⋊C4C23×D311yescharacteristic
1383C4⋊C4C23×D311yescharacteristic
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—31no—
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—61no—
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—
1416C42—21no—
1417C42—21no—
1418C42—21no—
1419C42—21no—
1420C42—31no—
1421C42—31no—
1422C42—31no—
1423C42—61no—
1424C42—61no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42—61no—
1430C42—61no—
1431C42—61no—
1432C42—61no—
1433C42C23×D311yescharacteristic
1434C42C23×D311yescharacteristic
1435C42C23×D311yescharacteristic
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3C23×D411yescharacteristic
1443C2×D3—21no—
1444C2×D3—21no—
1445C2×D3—21no—
1446C2×D3—21no—
1447C2×D3—21no—
1448C2×D3—21no—
1449C2×D3—21no—
1450C2×D3—21no—
1451C2×D3#57712yes—
1452C3×C4—21no—
1453C3×C4—21no—
1454C3×C4—21no—
1455C3×C4—21no—
1456C3×C4—21no—
1457C3×C4—21no—
1458C3×C4—41no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4C2×2−1+411yescharacteristic
1465C3×C4#58511yescharacteristic
1466Dic3—21no—
1467Dic3—22no—
1468Dic3—21no—
1469Dic3—21no—
1470Dic3—21no—
1471Dic3—21no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479C23—21no—
1480C23—21no—
1481C23—31no—
1482C23—31no—
1483C23—31no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—21no—
1488Q8—32no—
1489Q8—41no—
1490Q8—61no—
1491Q8—61no—
1492Q8—61no—
1493Q8—81no—
1494Q8—122no—
1495Q8—241no—
1496Q8—241no—
1497Q8—241no—
1498Q8—241no—
1499Q8—241no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—42no—
1505D4—62no—
1506D4—62no—
1507D4—81no—
1508D4—121no—
1509D4—122no—
1510D4—122no—
1511D4—122no—
1512D4—122no—
1513D4—241no—
1514D4—241no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—31no—
1522C2×C4—31no—
1523C2×C4—31no—
1524C2×C4—31no—
1525C2×C4—31no—
1526C2×C4—62no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—121no—
1544C2×C4—122no—
1545C2×C4—122no—
1546C2×C4—122no—
1547C2×C4—122no—
1548C2×C4—122no—
1549C2×C4—241no—
1550C2×C4—241no—
1551C2×C4—241no—
1552C2×C4—241no—
1553C2×C4—241no—
1554C2×C4—241no—
1555C2×C4—241no—
1556C2×C4C2×D3×D411yescharacteristic
1557C2×C4C2×D3×D411yescharacteristic
1558C2×C4C2×D3×D411yescharacteristic
1559C2×C4C2×D3×D411yescharacteristic
1560C2×C4C2×D3×D411yescharacteristic
1561C2×C4C2×D3×D411yescharacteristic
1562C2×C4C24×D311yescharacteristic
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—61no—
1568C8—61no—
1569C8—61no—
1570C8—61no—
1571C2×C3—81no—
1572C2×C3—81no—
1573C2×C3#348911yescharacteristic
1574C2×C3C2×#57711yescharacteristic
1575C2×C3#358611yescharacteristic
1576D3—22no—
1577D3—41no—
1578D3—41no—
1579C22—32no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—61no—
1587C22—61no—
1588C22—61no—
1589C22—61no—
1590C22—61no—
1591C22—61no—
1592C22—61no—
1593C22—61no—
1594C22C22×D3×D411yescharacteristic
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—61no—
1608C4—61no—
1609C4—61no—
1610C4—61no—
1611C4—61no—
1612C4—62no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4#596411yescharacteristic
1621C4D3×2−1+411yescharacteristic
1622C3#6216911yescharacteristic, complemented, Sylow
1623C2—62no—
1624C2—81no—
1625C2—81no—
1626C2—121no—
1627C2—121no—
1628C2#8671411yescharacteristic
1629C2#8720111yescharacteristic
1630C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3371C2
socleC22×C3C23×D4
prime radical#87055C2
hypercenter#3371D3
hypocenterC3#62169
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
2. #87038C2semidirect
3. C3×#3371C2semidirect
4. #83718C2semidirect
5. #83683C2semidirect
6. #81726C2semidirect
7. #81721C2semidirect
8. #81701C2semidirect
9. #81695C2semidirect
10. #81654C2semidirect
11. #81651C2semidirect
12. #81255C2semidirect
13. D3×#479C2semidirect
14. #81196C2semidirect
15. #81171C2semidirect
16. #81081C2semidirect
17. #81063C2semidirect
18. #80620C2semidirect
19. #80616C2semidirect
20. #80579C2semidirect
21. #80578C2semidirect
22. #80398C2semidirect
23. #80366C2semidirect
24. #79986C2semidirect
25. #79946C2semidirect
26. #79845C2semidirect
27. #79833C2semidirect
28. #79806C2semidirect
29. #79786C2semidirect
30. #79688C2semidirect
31. #79657C2semidirect
209. #3371D3semidirect
1622. C3#62169semidirect

Maximal subgroups

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

subgroupindex
#870552
#870382
C3×#33712
#837182
#836832
#817262
#817212
#817012
#816952
#816542
#816512
#812552
D3×#4792
#811962
#811712
#810812
#810632
#806202
#806162
#805792
#805782
#803982
#803662
#799862
#799462
#798452
#798332
#798062
#797862
#796882
#796572
#621693