Finite Group Databasebeta

← #11692234

Subgroups — #11692234

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#87043C211yesmaximal, characteristic
2#87038C211yesmaximal, characteristic, complemented
3C3×#3387C211yesmaximal, characteristic, complemented
4#83709C211yesmaximal, characteristic, complemented
5#83691C211yesmaximal, characteristic, complemented
6#81991C211yesmaximal, characteristic, complemented
7#81990C211yesmaximal, characteristic, complemented
8#81989C211yesmaximal, characteristic, complemented
9#81978C211yesmaximal, characteristic, complemented
10#81899C211yesmaximal, characteristic, complemented
11#81898C211yesmaximal, characteristic, complemented
12#81249C211yesmaximal, characteristic, complemented
13#81245C211yesmaximal, characteristic, complemented
14#81235C211yesmaximal, characteristic, complemented
15D3×#479C211yesmaximal, characteristic, complemented
16#81127C211yesmaximal, characteristic, complemented
17#81099C211yesmaximal, characteristic, complemented
18#81030C211yesmaximal, characteristic, complemented
19#81028C211yesmaximal, characteristic, complemented
20#81024C211yesmaximal, characteristic, complemented
21#81014C211yesmaximal, characteristic, complemented
22#81003C211yesmaximal, characteristic, complemented
23#81002C211yesmaximal, characteristic, complemented
24#79982C211yesmaximal, characteristic, complemented
25#79946C211yesmaximal, characteristic, complemented
26#79849C211yesmaximal, characteristic, complemented
27#79844C211yesmaximal, characteristic, complemented
28#79843C211yesmaximal, characteristic, complemented
29#79833C211yesmaximal, characteristic, complemented
30#79748C211yesmaximal, characteristic, complemented
31#79736C211yesmaximal, characteristic, complemented
32#62169—31nomaximal, Sylow
33C3×Q82C2211yescharacteristic
34C3×#557C2211yescharacteristic
35#5735—21no—
36#5733—21no—
37#5733—21no—
38#5733C2211yescharacteristic
39#5733C2211yescharacteristic
40#5730—21no—
41#5730C2211yescharacteristic
42#5730C2211yescharacteristic
43#5729—21no—
44#5729C2211yescharacteristic
45#5726—21no—
46#5726—21no—
47#5726C2211yescharacteristic
48#5726C2211yescharacteristic
49#5725—21no—
50#5725C2211yescharacteristic
51#5696—21no—
52#5694C2211yescharacteristic
53#5694C2211yescharacteristic
54#5693—21no—
55#5692—21no—
56#5689C2211yescharacteristic
57D3×#125C2211yescharacteristic
58C3⋊#564—21no—
59#5585—21no—
60#5585C2211yescharacteristic
61#5583—21no—
62#5583C2211yescharacteristic
63#5583C2211yescharacteristic
64#5581—21no—
65#5581C2211yescharacteristic
66#5581C2211yescharacteristic
67#5580—21no—
68#5580C2211yescharacteristic
69#5579C2211yescharacteristic
70#5578C2211yescharacteristic
71#5577C2211yescharacteristic
72#5576C2211yescharacteristic
73#5576C2211yescharacteristic
74#5574C2211yescharacteristic
75#5574C2211yescharacteristic
76C4×D3×Q8C2211yescharacteristic
77#5567C2211yescharacteristic
78C3×#501C2211yescharacteristic
79C3×#501C2211yescharacteristic
80C3×#498C2211yescharacteristic
81C3×#479C2211yescharacteristic
82C3×#479C2211yescharacteristic
83C3×#477C2211yescharacteristic
84C3×#475C2211yescharacteristic
85C3×#475C2211yescharacteristic
86C3×#475C2211yescharacteristic
87C3×#446C2211yescharacteristic
88C3×#441C2211yescharacteristic
89C3×#441C2211yescharacteristic
90C3×C4×Q16C2211yescharacteristic
91#5187C2211yescharacteristic
92#5187C2211yescharacteristic
93#5186C2211yescharacteristic
94#5182C2211yescharacteristic
95#5094C2211yescharacteristic
96#5094C2211yescharacteristic
97#5091C2211yescharacteristic
98#5089C2211yescharacteristic
99#5084C2211yescharacteristic
100#5081C2211yescharacteristic
101#5081C2211yescharacteristic
102#5080C2211yescharacteristic
103#5068C2211yescharacteristic
104#5067C2211yescharacteristic
105#5066C2211yescharacteristic
106#5063C2211yescharacteristic
107#5030C2211yescharacteristic
108#5030C2211yescharacteristic
109#5030C2211yescharacteristic
110C4×#216C2211yescharacteristic
111#5028C2211yescharacteristic
112#5028C2211yescharacteristic
113#5027C2211yescharacteristic
114#5026C2211yescharacteristic
115C4×#215C2211yescharacteristic
116#5024C2211yescharacteristic
117#5022C2211yescharacteristic
118#5022C2211yescharacteristic
119#5020C2211yescharacteristic
120#4891C2211yescharacteristic
121#4891C2211yescharacteristic
122#4888C2211yescharacteristic
123#4887C2211yescharacteristic
124#4886C2211yescharacteristic
125#4885C2211yescharacteristic
126#4884C2211yescharacteristic
127#4882C2211yescharacteristic
128#4882C2211yescharacteristic
129#4881C2211yescharacteristic
130D3×#107C2211yescharacteristic
131#4877C2211yescharacteristic
132#4871C2211yescharacteristic
133#4871C2211yescharacteristic
134#4870C2211yescharacteristic
135#4870C2211yescharacteristic
136#4868C2211yescharacteristic
137#4867C2211yescharacteristic
138#4866C2211yescharacteristic
139#4864C2211yescharacteristic
140#4864C2211yescharacteristic
141#4864C2211yescharacteristic
142#4863C2211yescharacteristic
143#4863C2211yescharacteristic
144#4863C2211yescharacteristic
145#4863C2211yescharacteristic
146#4862C2211yescharacteristic
147#4862C2211yescharacteristic
148#4862C2211yescharacteristic
149#4862C2211yescharacteristic
150#4861C2211yescharacteristic
151D3×#106C2211yescharacteristic
152D3×#106C2211yescharacteristic
153D3×#106C2211yescharacteristic
154#4857C2211yescharacteristic
155#4854C2211yescharacteristic
156#4848C2211yescharacteristic
157#4847C2211yescharacteristic
158#4845C2211yescharacteristic
159#4845C2211yescharacteristic
160#4842C2211yescharacteristic
161#4839C2211yescharacteristic
162#4839C2211yescharacteristic
163#4836C2211yescharacteristic
164#4836C2211yescharacteristic
165#4834C2211yescharacteristic
166D3×C4⋊C8C2211yescharacteristic
167#4829C2211yescharacteristic
168#4818C2211yescharacteristic
169#4818C2211yescharacteristic
170#4816C2211yescharacteristic
171#4813C2211yescharacteristic
172#4812C2211yescharacteristic
173#4811C2211yescharacteristic
174#4809C2211yescharacteristic
175#4808C2211yescharacteristic
176#4808C2211yescharacteristic
177#4807C2211yescharacteristic
178#4807C2211yescharacteristic
179#4807C2211yescharacteristic
180#4805C2211yescharacteristic
181#4805C2211yescharacteristic
182#4804C2211yescharacteristic
183#4804C2211yescharacteristic
184#4803C2211yescharacteristic
185#4803C2211yescharacteristic
186D3×#103C2211yescharacteristic
187D3×#103C2211yescharacteristic
188#4799C2211yescharacteristic
189#4796C2211yescharacteristic
190#4795C2211yescharacteristic
191#4791C2211yescharacteristic
192#4716C2211yescharacteristic
193#4714C2211yescharacteristic
194#4713C2211yescharacteristic
195#4710C2211yescharacteristic
196#4709C2211yescharacteristic
197#4706C2211yescharacteristic
198#4706C2211yescharacteristic
199#4705C2211yescharacteristic
200#4697C2211yescharacteristic
201C4×#204C2211yescharacteristic
202#4690C2211yescharacteristic
203C8×D12C2211yescharacteristic
204#3563—31no—
205#3522—31no—
206#3387—31no—
207#3387D311yescharacteristic, complemented
208#3371—31no—
209#3371—31no—
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×#239—21no—
236C2×#239—21no—
237C2×#239—21no—
238C2×#239C2311yescharacteristic
239C2×#239C2311yescharacteristic
240C2×D3×Q8C2311yescharacteristic
241C2×C3×Q16C2311yescharacteristic
242C3×C4⋊Q8—21no—
243C3×C4⋊Q8—21no—
244C3×C4⋊Q8—21no—
245C3×C4⋊Q8—21no—
246C3×C4⋊Q8C2311yescharacteristic
247C3×C4⋊Q8C2311yescharacteristic
248C3×C4⋊Q8C2311yescharacteristic
249C3×C4⋊Q8C2311yescharacteristic
250C3×#125—21no—
251C3×#125—21no—
252C3×#125C2311yescharacteristic
253C3×#125C2311yescharacteristic
254C3×C4×Q8—21no—
255C3×C4×Q8—21no—
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×Q8C2311yescharacteristic
262C3×C4×Q8C2311yescharacteristic
263#947—21no—
264#947—21no—
265#947—21no—
266#947—21no—
267#947D411yescharacteristic
268#946—21no—
269#946—21no—
270#946—21no—
271#946—21no—
272#946—21no—
273#946—21no—
274#946—21no—
275#946—21no—
276#946—21no—
277#946D411yescharacteristic
278#946C2311yescharacteristic
279#946C2311yescharacteristic
280#946C2311yescharacteristic
281Q8×Dic3C2311yescharacteristic
282#944—21no—
283#944—21no—
284#944C2311yescharacteristic
285C2×#216C2311yescharacteristic
286C2×#216C2311yescharacteristic
287C2×#215C2311yescharacteristic
288C2×#215C2311yescharacteristic
289C2×Dic12C2311yescharacteristic
290C2×#204C2311yescharacteristic
291C2×#204C2311yescharacteristic
292C2×ΓL(1,𝔽25)C2311yescharacteristic
293C2×ΓL(1,𝔽25)C2311yescharacteristic
294C2×D3×C8C2311yescharacteristic
295C2×D3×C8C2311yescharacteristic
296C2×D3×C8C2311yescharacteristic
297C2×D3×C8C2311yescharacteristic
298#898—21no—
299#898—21no—
300#898—21no—
301#898—21no—
302#898—21no—
303#898—21no—
304#898D411yescharacteristic
305#898D411yescharacteristic
306#897—21no—
307#897—21no—
308#897—21no—
309#897C2311yescharacteristic
310#897C2311yescharacteristic
311#897C2311yescharacteristic
312#897C2311yescharacteristic
313#897C2311yescharacteristic
314#896—21no—
315#896—21no—
316#896—21no—
317#896—21no—
318#896—21no—
319#895—21no—
320#895—21no—
321#895—21no—
322#895—21no—
323#895—21no—
324#895D411yescharacteristic
325#895C2311yescharacteristic
326#895C2311yescharacteristic
327#895C2311yescharacteristic
328#895C2311yescharacteristic
329#894—21no—
330#894—21no—
331#894—21no—
332#894—21no—
333#894—21no—
334#894—21no—
335#894—21no—
336#894—21no—
337#894—21no—
338#894—21no—
339#894—21no—
340#894—21no—
341#894D411yescharacteristic
342#894D411yescharacteristic
343#893—21no—
344#893—21no—
345#893—21no—
346#893—21no—
347#893—21no—
348#893—21no—
349#893C2311yescharacteristic
350#893C2311yescharacteristic
351#892—21no—
352#892—21no—
353#892C2311yescharacteristic
354#892C2311yescharacteristic
355D3×C4⋊C4—21no—
356D3×C4⋊C4—21no—
357D3×C4⋊C4—21no—
358D3×C4⋊C4—21no—
359D3×C4⋊C4—21no—
360D3×C4⋊C4C2311yescharacteristic
361D3×C4⋊C4C2311yescharacteristic
362D3×C4⋊C4C2311yescharacteristic
363D3×C4⋊C4C2311yescharacteristic
364D3×C4⋊C4C2311yescharacteristic
365D3×C4⋊C4C2311yescharacteristic
366D3×C4⋊C4C2311yescharacteristic
367#890—21no—
368#890—21no—
369#890—21no—
370#890—21no—
371#890D411yescharacteristic
372#890C2311yescharacteristic
373#890C2311yescharacteristic
374#889—21no—
375#889—21no—
376#889—21no—
377#889—21no—
378#889—21no—
379#889—21no—
380#889—21no—
381#889—21no—
382#889—21no—
383#889—21no—
384#889—21no—
385#888—21no—
386#888C2311yescharacteristic
387#887—21no—
388#887—21no—
389#887C2311yescharacteristic
390#876—21no—
391#876—21no—
392#876—21no—
393#876—21no—
394#875—21no—
395#875—21no—
396#875C2311yescharacteristic
397#875C2311yescharacteristic
398#874—21no—
399#874C2311yescharacteristic
400C4×D12—21no—
401C4×D12—21no—
402C4×D12—21no—
403C4×D12—21no—
404C4×D12—21no—
405C4×D12—21no—
406C4×D12C2311yescharacteristic
407C4×D12C2311yescharacteristic
408C4×D12C2311yescharacteristic
409C4×D12C2311yescharacteristic
410C4×D12C2311yescharacteristic
411#872—21no—
412#872—21no—
413#872—21no—
414#872—21no—
415#872—21no—
416#872C2311yescharacteristic
417#872C2311yescharacteristic
418C42×D3—21no—
419C42×D3C2311yescharacteristic
420#870—21no—
421#870—21no—
422#870—21no—
423#870C2311yescharacteristic
424#870C2311yescharacteristic
425#869C2311yescharacteristic
426C4×Dic6—21no—
427C4×Dic6—21no—
428C4×Dic6C2311yescharacteristic
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#107C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×#106C2311yescharacteristic
437C3×#106C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×#106C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×C4⋊C8C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#103C2311yescharacteristic
449C3×#103C2311yescharacteristic
450C3×#97C2311yescharacteristic
451C3×#97C2311yescharacteristic
452C3×C4×C8C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#835C2311yescharacteristic
457#821C2311yescharacteristic
458#821C2311yescharacteristic
459#821C2311yescharacteristic
460#821C2311yescharacteristic
461#821C2311yescharacteristic
462#821C2311yescharacteristic
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#817C2311yescharacteristic
471#817C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479Dic3⋊C8C2311yescharacteristic
480#810C2311yescharacteristic
481#810C2311yescharacteristic
482#810C2311yescharacteristic
483#810C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#809C2311yescharacteristic
487#809C2311yescharacteristic
488#809C2311yescharacteristic
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#564—61no—
511#563—61no—
512#559—31no—
513#559—61no—
514Q82C2×D311yescharacteristic
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#501C2×D311yescharacteristic
558#501C2×D311yescharacteristic
559#498—31no—
560#498C2×D311yescharacteristic
561#490—31no—
562#490—31no—
563#489—31no—
564#489—31no—
565#488—31no—
566#488—31no—
567#485—31no—
568#485—31no—
569#484—31no—
570#484—31no—
571#483—31no—
572#483—31no—
573#483—31no—
574#483—31no—
575#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#479C2×D311yescharacteristic
594#479C2×D311yescharacteristic
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478—31no—
601#477—31no—
602#477C2×D311yescharacteristic
603#476—31no—
604#476—31no—
605#476—31no—
606#476—31no—
607#475—31no—
608#475—31no—
609#475—31no—
610#475—31no—
611#475—31no—
612#475C2×D311yescharacteristic
613#475C2×D311yescharacteristic
614#475C2×D311yescharacteristic
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#464—31no—
630#464—31no—
631#462—31no—
632#462—31no—
633#461—31no—
634#461—31no—
635#460—31no—
636#460—31no—
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#441C2×D311yescharacteristic
650#441C2×D311yescharacteristic
651#440—31no—
652#440—31no—
653C4×Q16—31no—
654C4×Q16C2×D311yescharacteristic
655C4×SD16—31no—
656C4×SD16—31no—
657#435—31no—
658#435—31no—
659#435—31no—
660#435—31no—
661C8×D4—31no—
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#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×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8—21no—
685C2×C3×Q8C2×D411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687C2×C3×Q8C2411yescharacteristic
688#239—22no—
689#239—22no—
690#239—41no—
691#239—41no—
692#239—82no—
693#239—82no—
694#239—82no—
695D3×Q8—22no—
696D3×Q8—41no—
697C2×D12—21no—
698C2×D12—21no—
699C2×D12—21no—
700C2×D12—21no—
701C2×D12—21no—
702C2×D12—21no—
703C2×D12—21no—
704C2×D12—21no—
705C2×D12C2×D411yescharacteristic
706C2×D12C2×D411yescharacteristic
707C2×D12C2×D411yescharacteristic
708C2×D12C2411yescharacteristic
709C2×D12C2411yescharacteristic
710C2×C4×D3—21no—
711C2×C4×D3—21no—
712C2×C4×D3—21no—
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×D3—21no—
722C2×C4×D3—21no—
723C2×C4×D3—21no—
724C2×C4×D3C2×D411yescharacteristic
725C2×C4×D3C2×D411yescharacteristic
726C2×C4×D3C2411yescharacteristic
727C2×C4×D3C2411yescharacteristic
728C2×C4×D3C2411yescharacteristic
729C2×Dic6—21no—
730C2×Dic6—21no—
731C2×Dic6—21no—
732C2×Dic6C2411yescharacteristic
733C2×Dic6C2411yescharacteristic
734C3×Q16—22no—
735C2×C3×C8C2411yescharacteristic
736C2×C3×C8C2411yescharacteristic
737C2×C3×C8C2411yescharacteristic
738C2×C3×C8C2411yescharacteristic
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
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⋊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×C4⋊C4C2411yescharacteristic
761C3×C4⋊C4C2411yescharacteristic
762C3×C42—21no—
763C3×C42—21no—
764C3×C42—21no—
765C3×C42—21no—
766C3×C42—21no—
767C3×C42—21no—
768C3×C42C2411yescharacteristic
769C3×C42C2411yescharacteristic
770C3×C42C2411yescharacteristic
771#216—22no—
772#216—41no—
773#215—41no—
774#215—41no—
775(C2×D3)⋊C4—21no—
776(C2×D3)⋊C4—21no—
777(C2×D3)⋊C4—21no—
778(C2×D3)⋊C4—21no—
779(C2×D3)⋊C4—21no—
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)⋊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)⋊C4C2×D411yescharacteristic
798(C2×D3)⋊C4C2×D411yescharacteristic
799(C2×D3)⋊C4C2×D411yescharacteristic
800(C2×D3)⋊C4C2×D411yescharacteristic
801(C2×D3)⋊C4C2×D411yescharacteristic
802(C2×D3)⋊C4C2×D411yescharacteristic
803(C2×D3)⋊C4C2×D411yescharacteristic
804(C2×D3)⋊C4C2×D411yescharacteristic
805(C2×D3)⋊C4C2×D411yescharacteristic
806(C2×D3)⋊C4C2×D411yescharacteristic
807C4⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3—21no—
810C4⋊Dic3—21no—
811C4⋊Dic3—21no—
812C4⋊Dic3—21no—
813C4⋊Dic3—21no—
814C4⋊Dic3—21no—
815C4⋊Dic3—21no—
816C4⋊Dic3C2×D411yescharacteristic
817C4⋊Dic3C2×D411yescharacteristic
818C4⋊Dic3C2×D411yescharacteristic
819C4⋊Dic3C2411yescharacteristic
820C4⋊Dic3C2411yescharacteristic
821C4⋊Dic3C2411yescharacteristic
822C4⋊Dic3C2411yescharacteristic
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×Dic3C2×D411yescharacteristic
860C4×Dic3C2×D411yescharacteristic
861C4×Dic3C2411yescharacteristic
862C2×C3⋊C8C2411yescharacteristic
863C2×C3⋊C8C2411yescharacteristic
864C2×C3⋊C8C2411yescharacteristic
865C2×C3⋊C8C2411yescharacteristic
866Dic12—41no—
867#204—41no—
868#204—41no—
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×SD16—31no—
888C2×SD16—31no—
889C2×M16—31no—
890C2×M16—31no—
891C22×C8—31no—
892C22×C8—31no—
893C22×C8—31no—
894C22×C8—31no—
895C4⋊Q8—21no—
896C4⋊Q8—21no—
897C4⋊Q8—21no—
898C4⋊Q8—21no—
899C4⋊Q8—31no—
900C4⋊Q8—31no—
901C4⋊Q8—31no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8C22×D311yescharacteristic
906C4⋊Q8C22×D311yescharacteristic
907C4⋊Q8C22×D311yescharacteristic
908C4⋊Q8C22×D311yescharacteristic
909#127—31no—
910#127—61no—
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—31no—
951#124—31no—
952#124—31no—
953#124—61no—
954#124—61no—
955#124—61no—
956#124—61no—
957#124—61no—
958#124—61no—
959#123—31no—
960#123—31no—
961#123—61no—
962#123—61no—
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—21no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—61no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8C22×D311yescharacteristic
1022C4×Q8C22×D311yescharacteristic
1023C4×Q8C22×D311yescharacteristic
1024C4×Q8C22×D311yescharacteristic
1025C4×Q8C22×D311yescharacteristic
1026C4×Q8C22×D311yescharacteristic
1027C4×Q8C22×D311yescharacteristic
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—
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#107C22×D311yescharacteristic
1078#107C22×D311yescharacteristic
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#106C22×D311yescharacteristic
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
1093#106C22×D311yescharacteristic
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#103C22×D311yescharacteristic
1121#103C22×D311yescharacteristic
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#102—31no—
1133#102—31no—
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102—31no—
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
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3C22×D411yescharacteristic
1153C22×D3C22×D411yescharacteristic
1154C22×D3C22×D411yescharacteristic
1155C3×Q8—21no—
1156C3×Q8—21no—
1157C3×Q8—21no—
1158C3×Q8—41no—
1159C3×Q8—81no—
1160C3×Q8—81no—
1161C3×Q8—81no—
1162C3×Q8—81no—
1163C3×Q82−1+412yes—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4C22×D411yescharacteristic
1173C2×C3×C4C22×D411yescharacteristic
1174C2×C3×C4C22×D411yescharacteristic
1175C2×C3×C4C22×D411yescharacteristic
1176C2×C3×C4C22×D411yescharacteristic
1177C2×C3×C4C22×D411yescharacteristic
1178C2×C3×C4C2511yescharacteristic
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3C22×D411yescharacteristic
1186C2×Dic3C22×D411yescharacteristic
1187C2×Dic3C22×D411yescharacteristic
1188C2×Dic3C22×D411yescharacteristic
1189C2×Dic3C22×D411yescharacteristic
1190D12—22no—
1191D12—22no—
1192D12—21no—
1193D12—21no—
1194D12—21no—
1195D12—21no—
1196D12—41no—
1197D12—42no—
1198D12—42no—
1199D12—42no—
1200D12—42no—
1201D12—42no—
1202D12—81no—
1203D12—81no—
1204D12—81no—
1205C4×D3—22no—
1206C4×D3—21no—
1207C4×D3—21no—
1208C4×D3—21no—
1209C4×D3—21no—
1210C4×D3—21no—
1211C4×D3—21no—
1212C4×D3—41no—
1213C4×D3—42no—
1214C4×D3—42no—
1215C4×D3—42no—
1216C4×D3—42no—
1217C4×D3—42no—
1218C4×D3—81no—
1219C4×D3—81no—
1220C4×D3—81no—
1221C4×D3—81no—
1222C4×D3—81no—
1223C4×D3—81no—
1224C4×D3—81no—
1225C4×D3—81no—
1226C4×D3—81no—
1227Dic6—21no—
1228Dic6—21no—
1229Dic6—21no—
1230Dic6—21no—
1231Dic6—42no—
1232Dic6—81no—
1233Dic6—81no—
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—21no—
1251C2×Q8—21no—
1252C2×Q8—21no—
1253C2×Q8—31no—
1254C2×Q8—31no—
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—31no—
1264C2×D4—31no—
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×D4—61no—
1275C2×D4—61no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—61no—
1282C22×C4—61no—
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—22no—
1296Q16—62no—
1297Q16—121no—
1298Q16—121no—
1299SD16—121no—
1300SD16—121no—
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—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
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—31no—
1340C4⋊C4—31no—
1341C4⋊C4—31no—
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⋊C4D3×D411yescharacteristic
1376C4⋊C4D3×D411yescharacteristic
1377C4⋊C4D3×D411yescharacteristic
1378C4⋊C4C23×D311yescharacteristic
1379C4⋊C4C23×D311yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C4⋊C4C23×D311yescharacteristic
1383C4⋊C4C23×D311yescharacteristic
1384C22⋊C4—31no—
1385C22⋊C4—31no—
1386C22⋊C4—31no—
1387C22⋊C4—31no—
1388C22⋊C4—31no—
1389C22⋊C4—31no—
1390C22⋊C4—31no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—61no—
1395C22⋊C4—61no—
1396C22⋊C4—61no—
1397C22⋊C4—61no—
1398C22⋊C4—61no—
1399C22⋊C4—61no—
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—21no—
1421C42—21no—
1422C42—31no—
1423C42—31no—
1424C42—31no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42—61no—
1430C42—61no—
1431C42—61no—
1432C42—61no—
1433C42C23×D311yescharacteristic
1434C42C23×D311yescharacteristic
1435C42C23×D311yescharacteristic
1436C22×C3C23×D411yescharacteristic
1437C2×D3—21no—
1438C2×D3—21no—
1439C2×D3—21no—
1440C2×D3—21no—
1441C2×D3—21no—
1442C2×D3—21no—
1443C2×D3—21no—
1444C2×D3—21no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3#57712yes—
1452C3×C4—21no—
1453C3×C4—21no—
1454C3×C4—21no—
1455C3×C4—22no—
1456C3×C4—21no—
1457C3×C4—21no—
1458C3×C4—21no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4C2×2−1+411yescharacteristic
1467C3×C4#58511yescharacteristic
1468Dic3—21no—
1469Dic3—21no—
1470Dic3—21no—
1471Dic3—21no—
1472Dic3—21no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479C23—31no—
1480C23—31no—
1481C23—31no—
1482C23—61no—
1483C23—61no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—41no—
1488Q8—61no—
1489Q8—61no—
1490Q8—61no—
1491Q8—61no—
1492Q8—81no—
1493Q8—81no—
1494Q8—81no—
1495Q8—81no—
1496Q8—122no—
1497Q8—241no—
1498Q8—241no—
1499Q8#100712yes—
1500D4—62no—
1501D4—62no—
1502D4—61no—
1503D4—61no—
1504D4—61no—
1505D4—61no—
1506D4—121no—
1507D4—122no—
1508D4—122no—
1509D4—122no—
1510D4—122no—
1511D4—122no—
1512D4—241no—
1513D4—241no—
1514D4—241no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—31no—
1524C2×C4—31no—
1525C2×C4—31no—
1526C2×C4—31no—
1527C2×C4—31no—
1528C2×C4—62no—
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—121no—
1542C2×C4—122no—
1543C2×C4—122no—
1544C2×C4—122no—
1545C2×C4—122no—
1546C2×C4—122no—
1547C2×C4—241no—
1548C2×C4—241no—
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#348911yescharacteristic
1572C2×C3C2×#57711yescharacteristic
1573C2×C3#358611yescharacteristic
1574D3—22no—
1575D3—41no—
1576D3—41no—
1577D3—81no—
1578D3—81no—
1579C22—32no—
1580C22—61no—
1581C22—61no—
1582C22—61no—
1583C22—61no—
1584C22—61no—
1585C22—61no—
1586C22—61no—
1587C22—61no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22C22×D3×D411yescharacteristic
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—61no—
1610C4—61no—
1611C4—61no—
1612C4—61no—
1613C4—61no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4C2×#100711yescharacteristic
1621C4#596811yescharacteristic
1622C3#6216911yescharacteristic, complemented, Sylow
1623C2—62no—
1624C2—121no—
1625C2—121no—
1626C2—241no—
1627C2—241no—
1628C2#8674511yescharacteristic
1629C2#8719711yescharacteristic
1630C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3387C2
socleC22×C3C23×D4
prime radical#87043C2
hypercenter#3387D3
hypocenterC3#62169
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3387

Complements

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

NH ≅ G/Ntype
2. #87038C2semidirect
3. C3×#3387C2semidirect
4. #83709C2semidirect
5. #83691C2semidirect
6. #81991C2semidirect
7. #81990C2semidirect
8. #81989C2semidirect
9. #81978C2semidirect
10. #81899C2semidirect
11. #81898C2semidirect
12. #81249C2semidirect
13. #81245C2semidirect
14. #81235C2semidirect
15. D3×#479C2semidirect
16. #81127C2semidirect
17. #81099C2semidirect
18. #81030C2semidirect
19. #81028C2semidirect
20. #81024C2semidirect
21. #81014C2semidirect
22. #81003C2semidirect
23. #81002C2semidirect
24. #79982C2semidirect
25. #79946C2semidirect
26. #79849C2semidirect
27. #79844C2semidirect
28. #79843C2semidirect
29. #79833C2semidirect
30. #79748C2semidirect
31. #79736C2semidirect
207. #3387D3semidirect
1622. C3#62169semidirect

Maximal subgroups

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

subgroupindex
#870432
#870382
C3×#33872
#837092
#836912
#819912
#819902
#819892
#819782
#818992
#818982
#812492
#812452
#812352
D3×#4792
#811272
#810992
#810302
#810282
#810242
#810142
#810032
#810022
#799822
#799462
#798492
#798442
#798432
#798332
#797482
#797362
#621693