Finite Group Databasebeta

← #11692215

Subgroups — #11692215

Order 768.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87038C211yesmaximal, characteristic
2#87024C211yesmaximal, characteristic
3C3×#3390C211yesmaximal, characteristic, complemented
4#83698C211yesmaximal, characteristic, complemented
5#83684C211yesmaximal, characteristic, complemented
6#81996C211yesmaximal, characteristic, complemented
7#81991C211yesmaximal, characteristic, complemented
8#81987C211yesmaximal, characteristic, complemented
9#81980C211yesmaximal, characteristic, complemented
10#81924C211yesmaximal, characteristic, complemented
11#81923C211yesmaximal, characteristic, complemented
12#81255C211yesmaximal, characteristic, complemented
13#81253C211yesmaximal, characteristic, complemented
14#81248C211yesmaximal, characteristic, complemented
15#81248C211yesmaximal, characteristic, complemented
16#81244C211yesmaximal, characteristic, complemented
17#81244C211yesmaximal, characteristic, complemented
18#81233C211yesmaximal, characteristic, complemented
19D3×#479C211yesmaximal, characteristic, complemented
20#81128C211yesmaximal, characteristic, complemented
21#81119C211yesmaximal, characteristic, complemented
22#81118C211yesmaximal, characteristic, complemented
23#81110C211yesmaximal, characteristic, complemented
24#79983C211yesmaximal, characteristic, complemented
25#79946C211yesmaximal, characteristic
26#79841C211yesmaximal, characteristic, complemented
27#79841C211yesmaximal, characteristic, complemented
28#79836C211yesmaximal, characteristic, complemented
29#79833C211yesmaximal, characteristic, complemented
30#79735C211yesmaximal, characteristic, complemented
31#79724C211yesmaximal, characteristic, complemented
32#62168—31nomaximal, Sylow
33C3×#557C2211yescharacteristic
34C3×#557C2211yescharacteristic
35#5735—21no—
36#5732—21no—
37#5732C2211yescharacteristic
38#5730C2211yescharacteristic
39#5729—21no—
40#5729C2211yescharacteristic
41#5728—21no—
42#5728C2211yescharacteristic
43#5698—21no—
44#5698—21no—
45#5698C2211yescharacteristic
46#5698C2211yescharacteristic
47#5696—21no—
48#5694—21no—
49#5694—21no—
50#5694C2211yescharacteristic
51#5694C2211yescharacteristic
52#5694C2211yescharacteristic
53#5694C2211yescharacteristic
54#5693—21no—
55#5692—21no—
56#5689C2211yescharacteristic
57D3×#125C2211yescharacteristic
58C3⋊#564—21no—
59#5583—21no—
60#5583C2211yescharacteristic
61#5583C2211yescharacteristic
62#5581—21no—
63#5581C2211yescharacteristic
64#5581C2211yescharacteristic
65#5580—21no—
66#5580C2211yescharacteristic
67#5579C2211yescharacteristic
68#5578C2211yescharacteristic
69Q8×D12C2211yescharacteristic
70Q8×D12C2211yescharacteristic
71Q8×D12C2211yescharacteristic
72#5572C2211yescharacteristic
73#5572C2211yescharacteristic
74C4×D3×Q8C2211yescharacteristic
75#5570—21no—
76#5570C2211yescharacteristic
77#5567C2211yescharacteristic
78C3×#501C2211yescharacteristic
79C3×#501C2211yescharacteristic
80C3×#499C2211yescharacteristic
81C3×#479C2211yescharacteristic
82C3×#479C2211yescharacteristic
83C3×#479C2211yescharacteristic
84C3×#479C2211yescharacteristic
85C3×#477C2211yescharacteristic
86C3×#477C2211yescharacteristic
87C3×#446C2211yescharacteristic
88C3×#441C2211yescharacteristic
89C3×#441C2211yescharacteristic
90C3×C4×Q16C2211yescharacteristic
91#5186C2211yescharacteristic
92#5186C2211yescharacteristic
93#5186C2211yescharacteristic
94#5182C2211yescharacteristic
95#5094C2211yescharacteristic
96#5093C2211yescharacteristic
97#5091C2211yescharacteristic
98#5081C2211yescharacteristic
99#5069C2211yescharacteristic
100#5069C2211yescharacteristic
101#5065C2211yescharacteristic
102#5064C2211yescharacteristic
103#5063C2211yescharacteristic
104#5063C2211yescharacteristic
105#5063C2211yescharacteristic
106#5063C2211yescharacteristic
107#5031C2211yescharacteristic
108#5031C2211yescharacteristic
109#5031C2211yescharacteristic
110#5030C2211yescharacteristic
111#5030C2211yescharacteristic
112#5030C2211yescharacteristic
113#5030C2211yescharacteristic
114C4×#216C2211yescharacteristic
115C4×#216C2211yescharacteristic
116#5024C2211yescharacteristic
117#5022C2211yescharacteristic
118#5022C2211yescharacteristic
119#5021C2211yescharacteristic
120#4888C2211yescharacteristic
121#4888C2211yescharacteristic
122#4888C2211yescharacteristic
123#4887C2211yescharacteristic
124#4887C2211yescharacteristic
125#4887C2211yescharacteristic
126#4887C2211yescharacteristic
127#4884C2211yescharacteristic
128#4884C2211yescharacteristic
129#4884C2211yescharacteristic
130#4884C2211yescharacteristic
131#4881C2211yescharacteristic
132#4881C2211yescharacteristic
133#4880C2211yescharacteristic
134D3×#107C2211yescharacteristic
135#4877C2211yescharacteristic
136#4877C2211yescharacteristic
137#4877C2211yescharacteristic
138#4875C2211yescharacteristic
139#4875C2211yescharacteristic
140#4868C2211yescharacteristic
141#4868C2211yescharacteristic
142#4868C2211yescharacteristic
143#4867C2211yescharacteristic
144#4867C2211yescharacteristic
145#4862C2211yescharacteristic
146#4862C2211yescharacteristic
147#4862C2211yescharacteristic
148#4862C2211yescharacteristic
149#4862C2211yescharacteristic
150#4860C2211yescharacteristic
151D3×#106C2211yescharacteristic
152#4857C2211yescharacteristic
153#4857C2211yescharacteristic
154#4857C2211yescharacteristic
155#4854C2211yescharacteristic
156#4851C2211yescharacteristic
157#4849C2211yescharacteristic
158#4849C2211yescharacteristic
159#4849C2211yescharacteristic
160#4839C2211yescharacteristic
161#4839C2211yescharacteristic
162#4836C2211yescharacteristic
163#4836C2211yescharacteristic
164#4834C2211yescharacteristic
165D3×C4⋊C8C2211yescharacteristic
166#4829C2211yescharacteristic
167#4829C2211yescharacteristic
168#4816C2211yescharacteristic
169#4816C2211yescharacteristic
170#4815C2211yescharacteristic
171#4814C2211yescharacteristic
172#4813C2211yescharacteristic
173#4813C2211yescharacteristic
174#4813C2211yescharacteristic
175#4813C2211yescharacteristic
176#4809C2211yescharacteristic
177#4809C2211yescharacteristic
178#4809C2211yescharacteristic
179#4805C2211yescharacteristic
180#4802C2211yescharacteristic
181#4802C2211yescharacteristic
182D3×#103C2211yescharacteristic
183D3×#103C2211yescharacteristic
184D3×#103C2211yescharacteristic
185D3×#103C2211yescharacteristic
186#4799C2211yescharacteristic
187#4796C2211yescharacteristic
188#4795C2211yescharacteristic
189#4795C2211yescharacteristic
190#4795C2211yescharacteristic
191#4791C2211yescharacteristic
192#4716C2211yescharacteristic
193#4716C2211yescharacteristic
194#4709C2211yescharacteristic
195#4706C2211yescharacteristic
196#4706C2211yescharacteristic
197#4705C2211yescharacteristic
198#4703C2211yescharacteristic
199#4703C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4690C2211yescharacteristic
202C8×D12C2211yescharacteristic
203#4681C2211yescharacteristic
204#3563—31no—
205#3523—31no—
206#3390—31no—
207#3390D311yescharacteristic, complemented
208#3374—31no—
209#3374—31no—
210#3349—31no—
211#3349—31no—
212#3344—31no—
213#3344—31no—
214#3336—31no—
215#3336—31no—
216#3312—31no—
217#3312—31no—
218#3312—31no—
219#3312—31no—
220#3299—31no—
221#3299—31no—
222#3261—31no—
223#3261—31no—
224#3249—31no—
225#3242—31no—
226#3242—31no—
227#3236—31no—
228#3127—31no—
229#3127—31no—
230#3113—31no—
231#3082—31no—
232#3082—31no—
233C2×#479—31no—
234#2992—31no—
235C2×D3×Q8C2311yescharacteristic
236C2×D3×Q8C2311yescharacteristic
237C2×D3×Q8C2311yescharacteristic
238C2×C3×Q16C2311yescharacteristic
239C3×C4⋊Q8—21no—
240C3×C4⋊Q8—21no—
241C3×C4⋊Q8C2311yescharacteristic
242C3×C4⋊Q8C2311yescharacteristic
243C3×#125—21no—
244C3×#125—21no—
245C3×#125—21no—
246C3×#125—21no—
247C3×#125C2311yescharacteristic
248C3×#125C2311yescharacteristic
249C3×#125C2311yescharacteristic
250C3×#125C2311yescharacteristic
251C3×C4×Q8—21no—
252C3×C4×Q8—21no—
253C3×C4×Q8C2311yescharacteristic
254C3×C4×Q8C2311yescharacteristic
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260#947—21no—
261#947D411yescharacteristic
262#946—21no—
263#946—21no—
264#946—21no—
265#946—21no—
266#946D411yescharacteristic
267#946C2311yescharacteristic
268#946C2311yescharacteristic
269#946C2311yescharacteristic
270Q8×Dic3—21no—
271Q8×Dic3—21no—
272Q8×Dic3—21no—
273Q8×Dic3C2311yescharacteristic
274#944—21no—
275#944—21no—
276#944C2311yescharacteristic
277C2×#216C2311yescharacteristic
278C2×#216C2311yescharacteristic
279C2×#216C2311yescharacteristic
280C2×#216C2311yescharacteristic
281C2×Dic12C2311yescharacteristic
282C2×Dic12C2311yescharacteristic
283C2×Dic12C2311yescharacteristic
284C2×ΓL(1,𝔽25)C2311yescharacteristic
285C2×ΓL(1,𝔽25)C2311yescharacteristic
286C2×D3×C8C2311yescharacteristic
287C2×D3×C8C2311yescharacteristic
288C2×D3×C8C2311yescharacteristic
289C2×D3×C8C2311yescharacteristic
290#898—21no—
291#898—21no—
292#898—21no—
293#898—21no—
294#898—21no—
295#898—21no—
296#898—21no—
297#898—21no—
298#898—21no—
299#898—21no—
300#898—21no—
301#898—21no—
302#898D411yescharacteristic
303#898D411yescharacteristic
304#897—21no—
305#897—21no—
306#897—21no—
307#897—21no—
308#897—21no—
309#897—21no—
310#897—21no—
311#897C2311yescharacteristic
312#897C2311yescharacteristic
313#897C2311yescharacteristic
314#897C2311yescharacteristic
315#897C2311yescharacteristic
316#897C2311yescharacteristic
317#897C2311yescharacteristic
318#897C2311yescharacteristic
319#897C2311yescharacteristic
320#896—21no—
321#896—21no—
322#896—21no—
323#896—21no—
324#896—21no—
325#895D411yescharacteristic
326#894—21no—
327#894—21no—
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#892—21no—
338#892—21no—
339#892—21no—
340#892—21no—
341#892—21no—
342#892C2311yescharacteristic
343#892C2311yescharacteristic
344#892C2311yescharacteristic
345#892C2311yescharacteristic
346D3×C4⋊C4—21no—
347D3×C4⋊C4—21no—
348D3×C4⋊C4—21no—
349D3×C4⋊C4C2311yescharacteristic
350D3×C4⋊C4C2311yescharacteristic
351D3×C4⋊C4C2311yescharacteristic
352D3×C4⋊C4C2311yescharacteristic
353D3×C4⋊C4C2311yescharacteristic
354#890—21no—
355#890—21no—
356#890—21no—
357#890—21no—
358#890—21no—
359#890—21no—
360#890—21no—
361#890—21no—
362#890—21no—
363#890—21no—
364#890—21no—
365#890—21no—
366#890—21no—
367#890D411yescharacteristic
368#890C2311yescharacteristic
369#890C2311yescharacteristic
370#889—21no—
371#889—21no—
372#889—21no—
373#889—21no—
374#889—21no—
375#889—21no—
376#889—21no—
377#889—21no—
378#889—21no—
379#889—21no—
380#889—21no—
381#888—21no—
382#888C2311yescharacteristic
383#887—21no—
384#887—21no—
385#887—21no—
386#887—21no—
387#887C2311yescharacteristic
388#887C2311yescharacteristic
389#887C2311yescharacteristic
390#876—21no—
391#876—21no—
392#876—21no—
393#876—21no—
394C4×D12—21no—
395C4×D12—21no—
396C4×D12—21no—
397C4×D12—21no—
398C4×D12C2311yescharacteristic
399C4×D12C2311yescharacteristic
400C4×D12C2311yescharacteristic
401#872—21no—
402#872—21no—
403#872—21no—
404#872—21no—
405#872—21no—
406#872C2311yescharacteristic
407#872C2311yescharacteristic
408C42×D3—21no—
409C42×D3C2311yescharacteristic
410#870—21no—
411#870—21no—
412#870—21no—
413#870C2311yescharacteristic
414#870C2311yescharacteristic
415#869—21no—
416#869—21no—
417#869—21no—
418#869C2311yescharacteristic
419#869C2311yescharacteristic
420#869C2311yescharacteristic
421#869C2311yescharacteristic
422C4×Dic6—21no—
423C4×Dic6—21no—
424C4×Dic6—21no—
425C4×Dic6—21no—
426C4×Dic6C2311yescharacteristic
427C4×Dic6C2311yescharacteristic
428C4×Dic6C2311yescharacteristic
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#107C2311yescharacteristic
435C3×#107C2311yescharacteristic
436C3×#107C2311yescharacteristic
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(C2×D3)⋊C8C2311yescharacteristic
458(C2×D3)⋊C8C2311yescharacteristic
459(C2×D3)⋊C8C2311yescharacteristic
460(C2×D3)⋊C8C2311yescharacteristic
461(C2×D3)⋊C8C2311yescharacteristic
462(C2×D3)⋊C8C2311yescharacteristic
463#818C2311yescharacteristic
464#817C2311yescharacteristic
465#817C2311yescharacteristic
466#816C2311yescharacteristic
467#816C2311yescharacteristic
468#816C2311yescharacteristic
469#816C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
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#810C2311yescharacteristic
487#810C2311yescharacteristic
488#810C2311yescharacteristic
489#810C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#808C2311yescharacteristic
493#808C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#807C2311yescharacteristic
499#807C2311yescharacteristic
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#557—31no—
513#557—31no—
514#557—61no—
515#557C2×D311yescharacteristic
516#557C2×D311yescharacteristic
517#556—31no—
518#556—61no—
519#554—31no—
520#554—31no—
521#552—31no—
522#552—31no—
523#552—31no—
524#552—31no—
525#552—31no—
526#552—31no—
527#552—61no—
528#552—61no—
529#552—61no—
530#552—61no—
531D4×Q8—31no—
532D4×Q8—31no—
533D4×Q8—31no—
534#544—31no—
535#544—31no—
536#544—61no—
537#541—31no—
538#541—31no—
539#541—31no—
540#541—31no—
541#541—61no—
542#541—61no—
543#541—61no—
544#541—61no—
545#539—61no—
546#533—31no—
547#533—31no—
548#533—61no—
549#529—31no—
550#529—61no—
551C2×#125—31no—
552#519—31no—
553#519—31no—
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501C2×D311yescharacteristic
558#501C2×D311yescharacteristic
559#499—31no—
560#499C2×D311yescharacteristic
561#491—31no—
562#491—31no—
563#491—31no—
564#491—31no—
565#487—31no—
566#487—31no—
567#485—31no—
568#485—31no—
569#485—31no—
570#485—31no—
571#485—31no—
572#485—31no—
573#485—31no—
574#485—31no—
575#484—31no—
576#484—31no—
577#484—31no—
578#484—31no—
579#483—31no—
580#483—31no—
581#483—31no—
582#483—31no—
583#483—31no—
584#483—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#479—31no—
595#479—31no—
596#479—31no—
597#479—31no—
598#479—31no—
599#479—31no—
600#479—31no—
601#479C2×D311yescharacteristic
602#479C2×D311yescharacteristic
603#479C2×D311yescharacteristic
604#479C2×D311yescharacteristic
605#477—31no—
606#477—31no—
607#477—31no—
608#477—31no—
609#477C2×D311yescharacteristic
610#477C2×D311yescharacteristic
611#475—31no—
612#475—31no—
613#475—31no—
614#475—31no—
615#470—31no—
616#470—31no—
617#470—31no—
618#470—31no—
619#467—31no—
620#467—31no—
621#467—31no—
622#467—31no—
623#467—31no—
624#467—31no—
625#467—31no—
626#467—31no—
627#462—31no—
628#462—31no—
629#462—31no—
630#462—31no—
631#462—31no—
632#462—31no—
633#462—31no—
634#462—31no—
635#462—31no—
636#462—31no—
637#451—31no—
638#451—31no—
639#451—31no—
640#451—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#441—31no—
651#441C2×D311yescharacteristic
652#441C2×D311yescharacteristic
653C4×Q16—31no—
654C4×Q16—31no—
655C4×Q16—31no—
656C4×Q16C2×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—
668#427—31no—
669#427—31no—
670C2×#107—31no—
671C2×#106—31no—
672#424—31no—
673#424—31no—
674C2×C4⋊C8—31no—
675#419—31no—
676#419—31no—
677C2×#103—31no—
678C2×#103—31no—
679C2×#103—31no—
680C2×#103—31no—
681C2×C3×Q8—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8C2×D411yescharacteristic
684C2×C3×Q8C2411yescharacteristic
685C2×C3×Q8C2411yescharacteristic
686D3×Q8—22no—
687D3×Q8—22no—
688D3×Q8—22no—
689D3×Q8—41no—
690D3×Q8—41no—
691D3×Q8—41no—
692C2×D12C2×D411yescharacteristic
693C2×D12C2×D411yescharacteristic
694C2×D12C2×D411yescharacteristic
695C2×C4×D3—21no—
696C2×C4×D3—21no—
697C2×C4×D3—21no—
698C2×C4×D3—21no—
699C2×C4×D3—21no—
700C2×C4×D3—21no—
701C2×C4×D3—21no—
702C2×C4×D3—21no—
703C2×C4×D3C2×D411yescharacteristic
704C2×C4×D3C2×D411yescharacteristic
705C2×C4×D3C2411yescharacteristic
706C2×C4×D3C2411yescharacteristic
707C2×C4×D3C2411yescharacteristic
708C2×Dic6—21no—
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6C2411yescharacteristic
714C2×Dic6C2411yescharacteristic
715C2×Dic6C2411yescharacteristic
716C2×Dic6C2411yescharacteristic
717C3×Q16—22no—
718C2×C3×C8C2411yescharacteristic
719C2×C3×C8C2411yescharacteristic
720C2×C3×C8C2411yescharacteristic
721C2×C3×C8C2411yescharacteristic
722C3×C4⋊C4—21no—
723C3×C4⋊C4—21no—
724C3×C4⋊C4—21no—
725C3×C4⋊C4—21no—
726C3×C4⋊C4—21no—
727C3×C4⋊C4—21no—
728C3×C4⋊C4—21no—
729C3×C4⋊C4—21no—
730C3×C4⋊C4—21no—
731C3×C4⋊C4—21no—
732C3×C4⋊C4—21no—
733C3×C4⋊C4—21no—
734C3×C4⋊C4—21no—
735C3×C4⋊C4—21no—
736C3×C4⋊C4—21no—
737C3×C4⋊C4—21no—
738C3×C4⋊C4C2×D411yescharacteristic
739C3×C4⋊C4C2×D411yescharacteristic
740C3×C4⋊C4C2×D411yescharacteristic
741C3×C4⋊C4C2411yescharacteristic
742C3×C4⋊C4C2411yescharacteristic
743C3×C4⋊C4C2411yescharacteristic
744C3×C4⋊C4C2411yescharacteristic
745C3×C4⋊C4C2411yescharacteristic
746C3×C4⋊C4C2411yescharacteristic
747C3×C42—21no—
748C3×C42—21no—
749C3×C42—21no—
750C3×C42—21no—
751C3×C42—21no—
752C3×C42—21no—
753C3×C42C2411yescharacteristic
754C3×C42C2411yescharacteristic
755C3×C42C2411yescharacteristic
756#216—22no—
757#216—41no—
758#216—41no—
759#216—41no—
760(C2×D3)⋊C4—21no—
761(C2×D3)⋊C4—21no—
762(C2×D3)⋊C4—21no—
763(C2×D3)⋊C4—21no—
764(C2×D3)⋊C4—21no—
765(C2×D3)⋊C4—21no—
766(C2×D3)⋊C4—21no—
767(C2×D3)⋊C4—21no—
768(C2×D3)⋊C4—21no—
769(C2×D3)⋊C4—21no—
770(C2×D3)⋊C4—21no—
771(C2×D3)⋊C4—21no—
772(C2×D3)⋊C4—21no—
773(C2×D3)⋊C4—21no—
774(C2×D3)⋊C4—21no—
775(C2×D3)⋊C4—21no—
776(C2×D3)⋊C4C2×D411yescharacteristic
777(C2×D3)⋊C4C2×D411yescharacteristic
778(C2×D3)⋊C4C2×D411yescharacteristic
779(C2×D3)⋊C4C2×D411yescharacteristic
780(C2×D3)⋊C4C2×D411yescharacteristic
781(C2×D3)⋊C4C2×D411yescharacteristic
782(C2×D3)⋊C4C2×D411yescharacteristic
783(C2×D3)⋊C4C2×D411yescharacteristic
784(C2×D3)⋊C4C2×D411yescharacteristic
785(C2×D3)⋊C4C2×D411yescharacteristic
786C4⋊Dic3—21no—
787C4⋊Dic3—21no—
788C4⋊Dic3—21no—
789C4⋊Dic3—21no—
790C4⋊Dic3—21no—
791C4⋊Dic3—21no—
792C4⋊Dic3—21no—
793C4⋊Dic3—21no—
794C4⋊Dic3—21no—
795C4⋊Dic3—21no—
796C4⋊Dic3—21no—
797C4⋊Dic3—21no—
798C4⋊Dic3—21no—
799C4⋊Dic3—21no—
800C4⋊Dic3—21no—
801C4⋊Dic3—21no—
802C4⋊Dic3—21no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3C2×D411yescharacteristic
806C4⋊Dic3C2×D411yescharacteristic
807C4⋊Dic3C2×D411yescharacteristic
808C4⋊Dic3C2411yescharacteristic
809C4⋊Dic3C2411yescharacteristic
810C4⋊Dic3C2411yescharacteristic
811C4⋊Dic3C2411yescharacteristic
812Dic3⋊C4—21no—
813Dic3⋊C4—21no—
814Dic3⋊C4—21no—
815Dic3⋊C4—21no—
816Dic3⋊C4—21no—
817Dic3⋊C4—21no—
818Dic3⋊C4—21no—
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⋊C4C2×D411yescharacteristic
839Dic3⋊C4C2×D411yescharacteristic
840Dic3⋊C4C2×D411yescharacteristic
841Dic3⋊C4C2×D411yescharacteristic
842C4×Dic3—21no—
843C4×Dic3—21no—
844C4×Dic3—21no—
845C4×Dic3—21no—
846C4×Dic3—21no—
847C4×Dic3—21no—
848C4×Dic3—21no—
849C4×Dic3—21no—
850C4×Dic3—21no—
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3C2×D411yescharacteristic
857C4×Dic3C2×D411yescharacteristic
858C4×Dic3C2411yescharacteristic
859C2×C3⋊C8C2411yescharacteristic
860C2×C3⋊C8C2411yescharacteristic
861C2×C3⋊C8C2411yescharacteristic
862C2×C3⋊C8C2411yescharacteristic
863Dic12—41no—
864Dic12—41no—
865Dic12—41no—
866ΓL(1,𝔽25)—41no—
867ΓL(1,𝔽25)—41no—
868D3×C8—41no—
869D3×C8—41no—
870D3×C8—41no—
871D3×C8—41no—
872C22×Q8—31no—
873C22×Q8—31no—
874C22×Q8—31no—
875C2×Q16—31no—
876C2×Q16—31no—
877C2×Q16—31no—
878C2×Q16—31no—
879C2×Q16—31no—
880C2×Q16—31no—
881C2×Q16—31no—
882C2×Q16C22×D311yescharacteristic
883C2×M16—31no—
884C2×M16—31no—
885C22×C8—31no—
886C22×C8—31no—
887C22×C8—31no—
888C22×C8—31no—
889C4⋊Q8—21no—
890C4⋊Q8—21no—
891C4⋊Q8—31no—
892C4⋊Q8—31no—
893C4⋊Q8—31no—
894C4⋊Q8—31no—
895C4⋊Q8—31no—
896C4⋊Q8—31no—
897C4⋊Q8—61no—
898C4⋊Q8—61no—
899C4⋊Q8—61no—
900C4⋊Q8—61no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8C22×D311yescharacteristic
904C4⋊Q8C22×D311yescharacteristic
905#126—31no—
906#126—31no—
907#126—61no—
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#126—61no—
922#126—61no—
923#125—21no—
924#125—21no—
925#125—21no—
926#125—21no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—31no—
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#125—61no—
949#125—61no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125—61no—
954#125—61no—
955#125—61no—
956#125—61no—
957#125—61no—
958#125—61no—
959#125C22×D311yescharacteristic
960#125C22×D311yescharacteristic
961#125C22×D311yescharacteristic
962#125C22×D311yescharacteristic
963#124—31no—
964#124—61no—
965#123—31no—
966#123—31no—
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—31no—
983C22⋊Q8—31no—
984C22⋊Q8—31no—
985C22⋊Q8—31no—
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—
999C22⋊Q8—61no—
1000C22⋊Q8—61no—
1001C22⋊Q8—61no—
1002#121—31no—
1003C4×Q8—21no—
1004C4×Q8—21no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
1008C4×Q8—31no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—61no—
1016C4×Q8—61no—
1017C4×Q8—61no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8C22×D311yescharacteristic
1027C4×Q8C22×D311yescharacteristic
1028C4×Q8C22×D311yescharacteristic
1029C4×Q8C22×D311yescharacteristic
1030C4×Q8C22×D311yescharacteristic
1031C4×Q8C22×D311yescharacteristic
1032C4×Q8C22×D311yescharacteristic
1033C4×D4—31no—
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—61no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4—61no—
1041#117—31no—
1042#117—31no—
1043#117—31no—
1044#117—31no—
1045#117—31no—
1046#117—31no—
1047#117—61no—
1048#117—61no—
1049#117—61no—
1050#117—61no—
1051#117—61no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117—61no—
1058#117—61no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—31no—
1062C2×C4⋊C4—31no—
1063C2×C4⋊C4—31no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4—61no—
1067C2×C42—31no—
1068C2×C42—61no—
1069#107—31no—
1070#107—31no—
1071#107—31no—
1072#107—31no—
1073#107—31no—
1074#107—31no—
1075#107—31no—
1076#107C22×D311yescharacteristic
1077#107C22×D311yescharacteristic
1078#107C22×D311yescharacteristic
1079#107C22×D311yescharacteristic
1080#107C22×D311yescharacteristic
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#106C22×D311yescharacteristic
1090#106C22×D311yescharacteristic
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
1093C4⋊C8—31no—
1094C4⋊C8—31no—
1095C4⋊C8—31no—
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8C22×D311yescharacteristic
1101C4⋊C8C22×D311yescharacteristic
1102C4⋊C8C22×D311yescharacteristic
1103#103—31no—
1104#103—31no—
1105#103—31no—
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#103—31no—
1123#103—31no—
1124#103—31no—
1125#103—31no—
1126#103—31no—
1127#103—31no—
1128#103—31no—
1129#103C22×D311yescharacteristic
1130#103C22×D311yescharacteristic
1131#103C22×D311yescharacteristic
1132#103C22×D311yescharacteristic
1133#103C22×D311yescharacteristic
1134#103C22×D311yescharacteristic
1135C22⋊C8—31no—
1136C22⋊C8—31no—
1137C22⋊C8—31no—
1138C22⋊C8—31no—
1139C22⋊C8—31no—
1140C22⋊C8—31no—
1141#97—31no—
1142#97—31no—
1143#97C22×D311yescharacteristic
1144#97C22×D311yescharacteristic
1145C4×C8—31no—
1146C4×C8C22×D311yescharacteristic
1147C22×D3C22×D411yescharacteristic
1148C22×D3C22×D411yescharacteristic
1149C22×D3C22×D411yescharacteristic
1150C3×Q8—21no—
1151C3×Q8—21no—
1152C3×Q8—21no—
1153C3×Q8—41no—
1154C3×Q8—42no—
1155C3×Q8—81no—
1156C3×Q82−1+412yes—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4C22×D411yescharacteristic
1166C2×C3×C4C22×D411yescharacteristic
1167C2×C3×C4C22×D411yescharacteristic
1168C2×C3×C4C22×D411yescharacteristic
1169C2×C3×C4C22×D411yescharacteristic
1170C2×C3×C4C22×D411yescharacteristic
1171C2×C3×C4C2511yescharacteristic
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3C22×D411yescharacteristic
1181C2×Dic3C22×D411yescharacteristic
1182C2×Dic3C22×D411yescharacteristic
1183C2×Dic3C22×D411yescharacteristic
1184C2×Dic3C22×D411yescharacteristic
1185D12—22no—
1186D12—22no—
1187D12—41no—
1188C4×D3—22no—
1189C4×D3—21no—
1190C4×D3—21no—
1191C4×D3—21no—
1192C4×D3—21no—
1193C4×D3—21no—
1194C4×D3—21no—
1195C4×D3—41no—
1196C4×D3—42no—
1197C4×D3—42no—
1198C4×D3—42no—
1199C4×D3—42no—
1200C4×D3—42no—
1201C4×D3—81no—
1202C4×D3—81no—
1203C4×D3—81no—
1204Dic6—21no—
1205Dic6—21no—
1206Dic6—21no—
1207Dic6—21no—
1208Dic6—21no—
1209Dic6—21no—
1210Dic6—21no—
1211Dic6—21no—
1212Dic6—42no—
1213Dic6—42no—
1214Dic6—42no—
1215Dic6—81no—
1216Dic6—81no—
1217C3×C8—21no—
1218C3×C8—21no—
1219C3×C8—21no—
1220C3×C8—21no—
1221C3⋊C8—21no—
1222C3⋊C8—21no—
1223C3⋊C8—21no—
1224C3⋊C8—21no—
1225C2×Q8—21no—
1226C2×Q8—21no—
1227C2×Q8—31no—
1228C2×Q8—31no—
1229C2×Q8—31no—
1230C2×Q8—31no—
1231C2×Q8—61no—
1232C2×Q8—61no—
1233C2×Q8—61no—
1234C2×Q8—61no—
1235C2×Q8—61no—
1236C2×Q8—62no—
1237C2×Q8—62no—
1238C2×Q8—62no—
1239C2×Q8—121no—
1240C2×Q8—121no—
1241C2×Q8—121no—
1242C2×Q8D3×D411yescharacteristic
1243C2×Q8C23×D311yescharacteristic
1244C2×Q8C23×D311yescharacteristic
1245C2×D4—31no—
1246C2×D4—31no—
1247C2×D4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—61no—
1254C22×C4—61no—
1255C22×C4—61no—
1256C22×C4—61no—
1257C22×C4—61no—
1258C22×C4—61no—
1259C22×C4—61no—
1260C22×C4—61no—
1261Q16—22no—
1262Q16—62no—
1263Q16—121no—
1264Q16—121no—
1265Q16—121no—
1266Q16—121no—
1267Q16—121no—
1268Q16—121no—
1269M16—121no—
1270M16—121no—
1271C2×C8—31no—
1272C2×C8—31no—
1273C2×C8—31no—
1274C2×C8—31no—
1275C2×C8—121no—
1276C2×C8—121no—
1277C2×C8—121no—
1278C2×C8—121no—
1279C2×C8C23×D311yescharacteristic
1280C2×C8C23×D311yescharacteristic
1281C2×C8C23×D311yescharacteristic
1282C2×C8C23×D311yescharacteristic
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—31no—
1300C4⋊C4—31no—
1301C4⋊C4—31no—
1302C4⋊C4—31no—
1303C4⋊C4—31no—
1304C4⋊C4—31no—
1305C4⋊C4—31no—
1306C4⋊C4—31no—
1307C4⋊C4—31no—
1308C4⋊C4—31no—
1309C4⋊C4—31no—
1310C4⋊C4—61no—
1311C4⋊C4—61no—
1312C4⋊C4—61no—
1313C4⋊C4—61no—
1314C4⋊C4—61no—
1315C4⋊C4—61no—
1316C4⋊C4—61no—
1317C4⋊C4—61no—
1318C4⋊C4—61no—
1319C4⋊C4—61no—
1320C4⋊C4—61no—
1321C4⋊C4—61no—
1322C4⋊C4—61no—
1323C4⋊C4—61no—
1324C4⋊C4—61no—
1325C4⋊C4—61no—
1326C4⋊C4—61no—
1327C4⋊C4—61no—
1328C4⋊C4—61no—
1329C4⋊C4—61no—
1330C4⋊C4—61no—
1331C4⋊C4—61no—
1332C4⋊C4—61no—
1333C4⋊C4—61no—
1334C4⋊C4—61no—
1335C4⋊C4—61no—
1336C4⋊C4—61no—
1337C4⋊C4—61no—
1338C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1356C4⋊C4D3×D411yescharacteristic
1357C4⋊C4D3×D411yescharacteristic
1358C4⋊C4C23×D311yescharacteristic
1359C4⋊C4C23×D311yescharacteristic
1360C4⋊C4C23×D311yescharacteristic
1361C4⋊C4C23×D311yescharacteristic
1362C4⋊C4C23×D311yescharacteristic
1363C4⋊C4C23×D311yescharacteristic
1364C22⋊C4—31no—
1365C22⋊C4—31no—
1366C22⋊C4—31no—
1367C22⋊C4—31no—
1368C22⋊C4—31no—
1369C22⋊C4—31no—
1370C22⋊C4—31no—
1371C22⋊C4—31no—
1372C22⋊C4—31no—
1373C22⋊C4—31no—
1374C22⋊C4—61no—
1375C22⋊C4—61no—
1376C22⋊C4—61no—
1377C22⋊C4—61no—
1378C22⋊C4—61no—
1379C22⋊C4—61no—
1380C22⋊C4—61no—
1381C22⋊C4—61no—
1382C22⋊C4—61no—
1383C22⋊C4—61no—
1384C22⋊C4—61no—
1385C22⋊C4—61no—
1386C22⋊C4—61no—
1387C22⋊C4—61no—
1388C22⋊C4—61no—
1389C22⋊C4—61no—
1390C42—21no—
1391C42—21no—
1392C42—21no—
1393C42—21no—
1394C42—21no—
1395C42—21no—
1396C42—31no—
1397C42—31no—
1398C42—31no—
1399C42—61no—
1400C42—61no—
1401C42—61no—
1402C42—61no—
1403C42—61no—
1404C42—61no—
1405C42—61no—
1406C42—61no—
1407C42—61no—
1408C42—61no—
1409C42—61no—
1410C42—61no—
1411C42—61no—
1412C42—61no—
1413C42C23×D311yescharacteristic
1414C42C23×D311yescharacteristic
1415C42C23×D311yescharacteristic
1416C22×C3C23×D411yescharacteristic
1417C2×D3—21no—
1418C2×D3—21no—
1419C2×D3—21no—
1420C2×D3—21no—
1421C2×D3—21no—
1422C2×D3—21no—
1423C2×D3—21no—
1424C2×D3—21no—
1425C2×D3#57812yes—
1426C3×C4—21no—
1427C3×C4—21no—
1428C3×C4—21no—
1429C3×C4—22no—
1430C3×C4—21no—
1431C3×C4—21no—
1432C3×C4—21no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4C2×2−1+411yescharacteristic
1441C3×C4#58511yescharacteristic
1442Dic3—21no—
1443Dic3—21no—
1444Dic3—21no—
1445Dic3—21no—
1446Dic3—21no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455C23—31no—
1456C23—31no—
1457C23—31no—
1458Q8—21no—
1459Q8—21no—
1460Q8—21no—
1461Q8—41no—
1462Q8—42no—
1463Q8—61no—
1464Q8—61no—
1465Q8—61no—
1466Q8—61no—
1467Q8—61no—
1468Q8—61no—
1469Q8—61no—
1470Q8—61no—
1471Q8—81no—
1472Q8—122no—
1473Q8—122no—
1474Q8—122no—
1475Q8—241no—
1476Q8—241no—
1477Q8#100712yes—
1478D4—62no—
1479D4—62no—
1480D4—121no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—31no—
1490C2×C4—31no—
1491C2×C4—31no—
1492C2×C4—31no—
1493C2×C4—31no—
1494C2×C4—62no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—121no—
1510C2×C4—122no—
1511C2×C4—122no—
1512C2×C4—122no—
1513C2×C4—122no—
1514C2×C4—122no—
1515C2×C4—241no—
1516C2×C4—241no—
1517C2×C4—241no—
1518C2×C4C2×D3×D411yescharacteristic
1519C2×C4C2×D3×D411yescharacteristic
1520C2×C4C2×D3×D411yescharacteristic
1521C2×C4C2×D3×D411yescharacteristic
1522C2×C4C2×D3×D411yescharacteristic
1523C2×C4C2×D3×D411yescharacteristic
1524C2×C4C24×D311yescharacteristic
1525C8—21no—
1526C8—21no—
1527C8—21no—
1528C8—21no—
1529C8—61no—
1530C8—61no—
1531C8—61no—
1532C8—61no—
1533C2×C3#348911yescharacteristic
1534C2×C3C2×#57811yescharacteristic
1535C2×C3#358611yescharacteristic
1536D3—22no—
1537D3—41no—
1538D3—41no—
1539C22—32no—
1540C22—61no—
1541C22—61no—
1542C22—61no—
1543C22—61no—
1544C22—61no—
1545C22—61no—
1546C22—61no—
1547C22—61no—
1548C22C22×D3×D411yescharacteristic
1549C4—21no—
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—22no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—61no—
1564C4—61no—
1565C4—61no—
1566C4—61no—
1567C4—61no—
1568C4—121no—
1569C4—121no—
1570C4—121no—
1571C4—121no—
1572C4—121no—
1573C4—121no—
1574C4—121no—
1575C4—121no—
1576C4C2×#100711yescharacteristic
1577C4#596811yescharacteristic
1578C3#6216811yescharacteristic, complemented, Sylow
1579C2—62no—
1580C2—121no—
1581C2—121no—
1582C2#8674511yescharacteristic
1583C2#8720111yescharacteristic
1584C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3390C2
socleC22×C3C23×D4
prime radical#895D4
hypercenter#3390D3
hypocenterC3#62168
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3390

Complements

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

NH ≅ G/Ntype
3. C3×#3390C2semidirect
4. #83698C2semidirect
5. #83684C2semidirect
6. #81996C2semidirect
7. #81991C2semidirect
8. #81987C2semidirect
9. #81980C2semidirect
10. #81924C2semidirect
11. #81923C2semidirect
12. #81255C2semidirect
13. #81253C2semidirect
14. #81248C2semidirect
15. #81248C2semidirect
16. #81244C2semidirect
17. #81244C2semidirect
18. #81233C2semidirect
19. D3×#479C2semidirect
20. #81128C2semidirect
21. #81119C2semidirect
22. #81118C2semidirect
23. #81110C2semidirect
24. #79983C2semidirect
26. #79841C2semidirect
27. #79841C2semidirect
28. #79836C2semidirect
29. #79833C2semidirect
30. #79735C2semidirect
31. #79724C2semidirect
207. #3390D3semidirect
1578. C3#62168semidirect

Maximal subgroups

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

subgroupindex
#870382
#870242
C3×#33902
#836982
#836842
#819962
#819912
#819872
#819802
#819242
#819232
#812552
#812532
#812482
#812442
#812332
D3×#4792
#811282
#811192
#811182
#811102
#799832
#799462
#798412
#798362
#798332
#797352
#797242
#621683