Finite Group Databasebeta

← #11692218

Subgroups — #11692218

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#87025C211yesmaximal, characteristic
3C3×#3374C211yesmaximal, characteristic, complemented
4#83699C211yesmaximal, characteristic, complemented
5#83684C211yesmaximal, characteristic, complemented
6#81749C211yesmaximal, characteristic, complemented
7#81749C211yesmaximal, characteristic, complemented
8#81747C211yesmaximal, characteristic, complemented
9#81745C211yesmaximal, characteristic, complemented
10#81613C211yesmaximal, characteristic, complemented
11#81611C211yesmaximal, characteristic, complemented
12#81257C211yesmaximal, characteristic, complemented
13#81253C211yesmaximal, characteristic, complemented
14#81232C211yesmaximal, characteristic, complemented
15D3×#479C211yesmaximal, characteristic, complemented
16#81030C211yesmaximal, characteristic, complemented
17#81013C211yesmaximal, characteristic, complemented
18#80493C211yesmaximal, characteristic, complemented
19#80493C211yesmaximal, characteristic, complemented
20#80491C211yesmaximal, characteristic, complemented
21#80488C211yesmaximal, characteristic, complemented
22#80488C211yesmaximal, characteristic, complemented
23#80486C211yesmaximal, characteristic, complemented
24#79987C211yesmaximal, characteristic, complemented
25#79946C211yesmaximal, characteristic
26#79846C211yesmaximal, characteristic, complemented
27#79845C211yesmaximal, characteristic, complemented
28#79836C211yesmaximal, characteristic, complemented
29#79833C211yesmaximal, characteristic, complemented
30#79741C211yesmaximal, characteristic, complemented
31#79724C211yesmaximal, characteristic, complemented
32#62168—31nomaximal, Sylow
33C3×#557C2211yescharacteristic
34C3×#557C2211yescharacteristic
35#5735—21no—
36#5731C2211yescharacteristic
37#5731C2211yescharacteristic
38#5730C2211yescharacteristic
39#5729—21no—
40#5729C2211yescharacteristic
41#5728C2211yescharacteristic
42#5727C2211yescharacteristic
43#5727C2211yescharacteristic
44#5727C2211yescharacteristic
45#5696—21no—
46#5696—21no—
47#5696—21no—
48#5694C2211yescharacteristic
49#5694C2211yescharacteristic
50#5693—21no—
51#5693—21no—
52#5693—21no—
53#5692—21no—
54#5691—21no—
55#5689C2211yescharacteristic
56D3×#125C2211yescharacteristic
57C3⋊#564—21no—
58#5685—21no—
59#5584C2211yescharacteristic
60#5583—21no—
61#5583C2211yescharacteristic
62#5583C2211yescharacteristic
63#5581—21no—
64#5581C2211yescharacteristic
65#5581C2211yescharacteristic
66#5581C2211yescharacteristic
67#5581C2211yescharacteristic
68#5580C2211yescharacteristic
69#5579C2211yescharacteristic
70#5578—21no—
71#5578C2211yescharacteristic
72#5572C2211yescharacteristic
73#5572C2211yescharacteristic
74C4×D3×Q8C2211yescharacteristic
75#5568—21no—
76#5567C2211yescharacteristic
77#5567C2211yescharacteristic
78C3×#491C2211yescharacteristic
79C3×#491C2211yescharacteristic
80C3×#487C2211yescharacteristic
81C3×#479C2211yescharacteristic
82C3×#479C2211yescharacteristic
83C3×#475C2211yescharacteristic
84C3×#462C2211yescharacteristic
85C3×#462C2211yescharacteristic
86C3×#462C2211yescharacteristic
87C3×#446C2211yescharacteristic
88C3×#441C2211yescharacteristic
89C3×#441C2211yescharacteristic
90C3×C4×Q16C2211yescharacteristic
91#5189C2211yescharacteristic
92#5189C2211yescharacteristic
93#5188C2211yescharacteristic
94#5188C2211yescharacteristic
95#5188C2211yescharacteristic
96#5188C2211yescharacteristic
97#5186C2211yescharacteristic
98#5186C2211yescharacteristic
99#5186C2211yescharacteristic
100#5182C2211yescharacteristic
101#5182C2211yescharacteristic
102#5182C2211yescharacteristic
103#5091C2211yescharacteristic
104#5090C2211yescharacteristic
105#5090C2211yescharacteristic
106#5090C2211yescharacteristic
107#5082C2211yescharacteristic
108#5082C2211yescharacteristic
109#5081C2211yescharacteristic
110#5079C2211yescharacteristic
111#5065C2211yescharacteristic
112#5064C2211yescharacteristic
113#5063C2211yescharacteristic
114#5063C2211yescharacteristic
115#5030C2211yescharacteristic
116#5030C2211yescharacteristic
117#5030C2211yescharacteristic
118#5030C2211yescharacteristic
119C4×#216C2211yescharacteristic
120C4×#216C2211yescharacteristic
121#5024C2211yescharacteristic
122#5022C2211yescharacteristic
123#5022C2211yescharacteristic
124#5022C2211yescharacteristic
125#5022C2211yescharacteristic
126#5021C2211yescharacteristic
127#5020C2211yescharacteristic
128#4888C2211yescharacteristic
129#4880C2211yescharacteristic
130D3×#107C2211yescharacteristic
131#4877C2211yescharacteristic
132#4868C2211yescharacteristic
133#4862C2211yescharacteristic
134#4861C2211yescharacteristic
135#4861C2211yescharacteristic
136#4860C2211yescharacteristic
137D3×#106C2211yescharacteristic
138#4857C2211yescharacteristic
139#4854C2211yescharacteristic
140#4850C2211yescharacteristic
141#4850C2211yescharacteristic
142#4839C2211yescharacteristic
143#4839C2211yescharacteristic
144#4836C2211yescharacteristic
145#4836C2211yescharacteristic
146#4834C2211yescharacteristic
147D3×C4⋊C8C2211yescharacteristic
148#4829C2211yescharacteristic
149#4829C2211yescharacteristic
150#4829C2211yescharacteristic
151#4829C2211yescharacteristic
152#4816C2211yescharacteristic
153#4816C2211yescharacteristic
154#4815C2211yescharacteristic
155#4815C2211yescharacteristic
156#4815C2211yescharacteristic
157#4814C2211yescharacteristic
158#4814C2211yescharacteristic
159#4814C2211yescharacteristic
160#4813C2211yescharacteristic
161#4813C2211yescharacteristic
162#4813C2211yescharacteristic
163#4813C2211yescharacteristic
164#4811C2211yescharacteristic
165#4811C2211yescharacteristic
166#4811C2211yescharacteristic
167#4811C2211yescharacteristic
168#4809C2211yescharacteristic
169#4809C2211yescharacteristic
170#4809C2211yescharacteristic
171#4805C2211yescharacteristic
172#4805C2211yescharacteristic
173#4805C2211yescharacteristic
174#4805C2211yescharacteristic
175#4805C2211yescharacteristic
176#4802C2211yescharacteristic
177#4802C2211yescharacteristic
178D3×#103C2211yescharacteristic
179D3×#103C2211yescharacteristic
180D3×#103C2211yescharacteristic
181D3×#103C2211yescharacteristic
182#4799C2211yescharacteristic
183#4799C2211yescharacteristic
184#4799C2211yescharacteristic
185#4796C2211yescharacteristic
186#4796C2211yescharacteristic
187#4796C2211yescharacteristic
188#4795C2211yescharacteristic
189#4793C2211yescharacteristic
190#4793C2211yescharacteristic
191#4791C2211yescharacteristic
192#4716C2211yescharacteristic
193#4716C2211yescharacteristic
194#4709C2211yescharacteristic
195#4706C2211yescharacteristic
196#4706C2211yescharacteristic
197#4705C2211yescharacteristic
198#4702C2211yescharacteristic
199#4702C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4690C2211yescharacteristic
202C8×D12C2211yescharacteristic
203#4683C2211yescharacteristic
204#3563—31no—
205#3523—31no—
206#3390—31no—
207#3390—31no—
208#3374—31no—
209#3374D311yescharacteristic, complemented
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
239C2×C3×Q16C2311yescharacteristic
240C2×C3×Q16C2311yescharacteristic
241C3×C4⋊Q8—21no—
242C3×C4⋊Q8C2311yescharacteristic
243C3×C4⋊Q8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×#125—21no—
247C3×#125—21no—
248C3×#125—21no—
249C3×#125—21no—
250C3×#125—21no—
251C3×#125C2311yescharacteristic
252C3×#125C2311yescharacteristic
253C3×C4×Q8—21no—
254C3×C4×Q8—21no—
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×Q8C2311yescharacteristic
262#947D411yescharacteristic
263#946—21no—
264#946—21no—
265#946—21no—
266#946D411yescharacteristic
267#946C2311yescharacteristic
268#946C2311yescharacteristic
269#946C2311yescharacteristic
270#946C2311yescharacteristic
271#946C2311yescharacteristic
272#946C2311yescharacteristic
273#946C2311yescharacteristic
274#946C2311yescharacteristic
275#946C2311yescharacteristic
276Q8×Dic3C2311yescharacteristic
277Q8×Dic3C2311yescharacteristic
278Q8×Dic3C2311yescharacteristic
279#944—21no—
280#944—21no—
281#944—21no—
282#944C2311yescharacteristic
283C2×#216C2311yescharacteristic
284C2×#216C2311yescharacteristic
285C2×#216C2311yescharacteristic
286C2×#216C2311yescharacteristic
287C2×Dic12C2311yescharacteristic
288C2×ΓL(1,𝔽25)C2311yescharacteristic
289C2×ΓL(1,𝔽25)C2311yescharacteristic
290C2×D3×C8C2311yescharacteristic
291C2×D3×C8C2311yescharacteristic
292C2×D3×C8C2311yescharacteristic
293C2×D3×C8C2311yescharacteristic
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#898—21no—
303#898—21no—
304#898D411yescharacteristic
305#898D411yescharacteristic
306#897—21no—
307#897—21no—
308#897C2311yescharacteristic
309#897C2311yescharacteristic
310#897C2311yescharacteristic
311#896—21no—
312#896—21no—
313#896—21no—
314#896—21no—
315#896—21no—
316#896—21no—
317#896—21no—
318#896—21no—
319#896—21no—
320#896—21no—
321#896—21no—
322#895D411yescharacteristic
323#894—21no—
324#894—21no—
325#894—21no—
326#894—21no—
327#894—21no—
328#894—21no—
329#894D411yescharacteristic
330#894D411yescharacteristic
331#893—21no—
332#893—21no—
333#893—21no—
334#893—21no—
335#892—21no—
336#892—21no—
337#892—21no—
338#892—21no—
339#892—21no—
340#892C2311yescharacteristic
341#892C2311yescharacteristic
342#892C2311yescharacteristic
343#892C2311yescharacteristic
344D3×C4⋊C4—21no—
345D3×C4⋊C4—21no—
346D3×C4⋊C4—21no—
347D3×C4⋊C4C2311yescharacteristic
348D3×C4⋊C4C2311yescharacteristic
349D3×C4⋊C4C2311yescharacteristic
350D3×C4⋊C4C2311yescharacteristic
351D3×C4⋊C4C2311yescharacteristic
352#890—21no—
353#890—21no—
354#890—21no—
355#890—21no—
356#890D411yescharacteristic
357#890C2311yescharacteristic
358#890C2311yescharacteristic
359#889—21no—
360#889—21no—
361#889—21no—
362#889—21no—
363#889—21no—
364#889—21no—
365#889—21no—
366#889—21no—
367#889—21no—
368#889—21no—
369#889—21no—
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#888—21no—
379#888—21no—
380#888—21no—
381#888—21no—
382#888C2311yescharacteristic
383#887—21no—
384#887—21no—
385#887—21no—
386#887—21no—
387#887—21no—
388#887—21no—
389#887C2311yescharacteristic
390#876—21no—
391#876—21no—
392#876—21no—
393#876—21no—
394#876—21no—
395#876—21no—
396#875—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#872—21no—
407#872—21no—
408#872C2311yescharacteristic
409#872C2311yescharacteristic
410C42×D3—21no—
411C42×D3C2311yescharacteristic
412#870—21no—
413#870—21no—
414#870—21no—
415#870C2311yescharacteristic
416#870C2311yescharacteristic
417#870C2311yescharacteristic
418#870C2311yescharacteristic
419#869C2311yescharacteristic
420#869C2311yescharacteristic
421C4×Dic6—21no—
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×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×C4⋊C8C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#97C2311yescharacteristic
449C3×#97C2311yescharacteristic
450C3×C4×C8C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#835C2311yescharacteristic
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#818C2311yescharacteristic
473#818C2311yescharacteristic
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#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#501—31no—
558#501—31no—
559#499—31no—
560#499—31no—
561#491—31no—
562#491—31no—
563#491C2×D311yescharacteristic
564#491C2×D311yescharacteristic
565#487—31no—
566#487C2×D311yescharacteristic
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#479—31no—
602#479—31no—
603#479C2×D311yescharacteristic
604#479C2×D311yescharacteristic
605#477—31no—
606#477—31no—
607#477—31no—
608#477—31no—
609#477—31no—
610#477—31no—
611#475—31no—
612#475—31no—
613#475—31no—
614#475C2×D311yescharacteristic
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#462C2×D311yescharacteristic
635#462C2×D311yescharacteristic
636#462C2×D311yescharacteristic
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×Q8C2×D411yescharacteristic
683C2×C3×Q8C2411yescharacteristic
684C2×C3×Q8C2411yescharacteristic
685C2×C3×Q8C2411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687D3×Q8—22no—
688D3×Q8—22no—
689D3×Q8—22no—
690D3×Q8—41no—
691D3×Q8—41no—
692D3×Q8—41no—
693C2×D12C2×D411yescharacteristic
694C2×D12C2×D411yescharacteristic
695C2×D12C2×D411yescharacteristic
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×D3—21no—
704C2×C4×D3C2×D411yescharacteristic
705C2×C4×D3C2×D411yescharacteristic
706C2×C4×D3C2411yescharacteristic
707C2×C4×D3C2411yescharacteristic
708C2×C4×D3C2411yescharacteristic
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6—21no—
714C2×Dic6—21no—
715C2×Dic6C2411yescharacteristic
716C2×Dic6C2411yescharacteristic
717C3×Q16—41no—
718C3×Q16—41no—
719C3×Q16—41no—
720C2×C3×C8C2411yescharacteristic
721C2×C3×C8C2411yescharacteristic
722C2×C3×C8C2411yescharacteristic
723C2×C3×C8C2411yescharacteristic
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⋊C4—21no—
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
741C3×C4⋊C4C2×D411yescharacteristic
742C3×C4⋊C4C2×D411yescharacteristic
743C3×C4⋊C4C2×D411yescharacteristic
744C3×C4⋊C4C2411yescharacteristic
745C3×C4⋊C4C2411yescharacteristic
746C3×C4⋊C4C2411yescharacteristic
747C3×C4⋊C4C2411yescharacteristic
748C3×C42—21no—
749C3×C42—21no—
750C3×C42—21no—
751C3×C42—21no—
752C3×C42—21no—
753C3×C42—21no—
754C3×C42C2411yescharacteristic
755C3×C42C2411yescharacteristic
756C3×C42C2411yescharacteristic
757#216—22no—
758#216—41no—
759#216—41no—
760#216—41no—
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)⋊C4—21no—
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
786(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3C2×D411yescharacteristic
798C4⋊Dic3C2×D411yescharacteristic
799C4⋊Dic3C2×D411yescharacteristic
800C4⋊Dic3C2411yescharacteristic
801C4⋊Dic3C2411yescharacteristic
802C4⋊Dic3C2411yescharacteristic
803C4⋊Dic3C2411yescharacteristic
804C4⋊Dic3C2411yescharacteristic
805C4⋊Dic3C2411yescharacteristic
806Dic3⋊C4—21no—
807Dic3⋊C4—21no—
808Dic3⋊C4—21no—
809Dic3⋊C4—21no—
810Dic3⋊C4—21no—
811Dic3⋊C4—21no—
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⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4C2×D411yescharacteristic
841Dic3⋊C4C2×D411yescharacteristic
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
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×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3C2×D411yescharacteristic
859C4×Dic3C2×D411yescharacteristic
860C4×Dic3C2411yescharacteristic
861C2×C3⋊C8C2411yescharacteristic
862C2×C3⋊C8C2411yescharacteristic
863C2×C3⋊C8C2411yescharacteristic
864C2×C3⋊C8C2411yescharacteristic
865Dic12—22no—
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×Q16C22×D311yescharacteristic
881C2×Q16C22×D311yescharacteristic
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—31no—
891C4⋊Q8—31no—
892C4⋊Q8—31no—
893C4⋊Q8—31no—
894C4⋊Q8—61no—
895C4⋊Q8—61no—
896C4⋊Q8—61no—
897C4⋊Q8—61no—
898C4⋊Q8—61no—
899C4⋊Q8—61no—
900C4⋊Q8—61no—
901C4⋊Q8C22×D311yescharacteristic
902C4⋊Q8C22×D311yescharacteristic
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—21no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—31no—
932#125—31no—
933#125—31no—
934#125—31no—
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#125—61no—
960#125—61no—
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#107—31no—
1077#107—31no—
1078#107—31no—
1079#107—31no—
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#106—31no—
1090#106—31no—
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#103C22×D311yescharacteristic
1126#103C22×D311yescharacteristic
1127#103C22×D311yescharacteristic
1128#103C22×D311yescharacteristic
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—21no—
1154C3×Q8—21no—
1155C3×Q8—21no—
1156C3×Q8—21no—
1157C3×Q8—21no—
1158C3×Q8—41no—
1159C3×Q8—81no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4C22×D411yescharacteristic
1169C2×C3×C4C22×D411yescharacteristic
1170C2×C3×C4C22×D411yescharacteristic
1171C2×C3×C4C22×D411yescharacteristic
1172C2×C3×C4C22×D411yescharacteristic
1173C2×C3×C4C22×D411yescharacteristic
1174C2×C3×C4C2511yescharacteristic
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3C22×D411yescharacteristic
1184C2×Dic3C22×D411yescharacteristic
1185C2×Dic3C22×D411yescharacteristic
1186C2×Dic3C22×D411yescharacteristic
1187C2×Dic3C22×D411yescharacteristic
1188D12—22no—
1189D12—22no—
1190D12—41no—
1191C4×D3—22no—
1192C4×D3—21no—
1193C4×D3—21no—
1194C4×D3—21no—
1195C4×D3—21no—
1196C4×D3—21no—
1197C4×D3—21no—
1198C4×D3—41no—
1199C4×D3—42no—
1200C4×D3—42no—
1201C4×D3—42no—
1202C4×D3—42no—
1203C4×D3—42no—
1204C4×D3—81no—
1205C4×D3—81no—
1206C4×D3—81no—
1207Dic6—21no—
1208Dic6—21no—
1209Dic6—21no—
1210Dic6—42no—
1211Dic6—42no—
1212Dic6—42no—
1213Dic6—42no—
1214Dic6—81no—
1215Dic6—81no—
1216Dic62−1+412yes—
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—31no—
1227C2×Q8—31no—
1228C2×Q8—61no—
1229C2×Q8—61no—
1230C2×Q8—61no—
1231C2×Q8—61no—
1232C2×Q8—61no—
1233C2×Q8—61no—
1234C2×Q8—62no—
1235C2×Q8—62no—
1236C2×Q8—62no—
1237C2×Q8—121no—
1238C2×Q8—121no—
1239C2×Q8—121no—
1240C2×Q8D3×D411yescharacteristic
1241C2×Q8C23×D311yescharacteristic
1242C2×Q8C23×D311yescharacteristic
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—41no—
1262Q16—41no—
1263Q16—41no—
1264Q16—62no—
1265Q16—62no—
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—21no—
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—31no—
1311C4⋊C4—31no—
1312C4⋊C4—31no—
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⋊C4—61no—
1356C4⋊C4—61no—
1357C4⋊C4D3×D411yescharacteristic
1358C4⋊C4D3×D411yescharacteristic
1359C4⋊C4D3×D411yescharacteristic
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—21no—
1430C3×C4—21no—
1431C3×C4—21no—
1432C3×C4—41no—
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—22no—
1444Dic3—21no—
1445Dic3—21no—
1446Dic3—21no—
1447Dic3—21no—
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—21no—
1462Q8—21no—
1463Q8—21no—
1464Q8—21no—
1465Q8—21no—
1466Q8—32no—
1467Q8—41no—
1468Q8—61no—
1469Q8—61no—
1470Q8—61no—
1471Q8—81no—
1472Q8—122no—
1473Q8—122no—
1474Q8—122no—
1475Q8—122no—
1476Q8—241no—
1477Q8—241no—
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—41no—
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—62no—
1569C4—121no—
1570C4—121no—
1571C4—121no—
1572C4—121no—
1573C4—121no—
1574C4—121no—
1575C4—121no—
1576C4#596411yescharacteristic
1577C4D3×2−1+411yescharacteristic
1578C3#6216811yescharacteristic, complemented, Sylow
1579C2—62no—
1580C2—121no—
1581C2—121no—
1582C2#8671411yescharacteristic
1583C2#8719711yescharacteristic
1584C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3374C2
socleC22×C3C23×D4
prime radical#895D4
hypercenter#3374D3
hypocenterC3#62168
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3374

Complements

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

NH ≅ G/Ntype
3. C3×#3374C2semidirect
4. #83699C2semidirect
5. #83684C2semidirect
6. #81749C2semidirect
7. #81749C2semidirect
8. #81747C2semidirect
9. #81745C2semidirect
10. #81613C2semidirect
11. #81611C2semidirect
12. #81257C2semidirect
13. #81253C2semidirect
14. #81232C2semidirect
15. D3×#479C2semidirect
16. #81030C2semidirect
17. #81013C2semidirect
18. #80493C2semidirect
19. #80493C2semidirect
20. #80491C2semidirect
21. #80488C2semidirect
22. #80488C2semidirect
23. #80486C2semidirect
24. #79987C2semidirect
26. #79846C2semidirect
27. #79845C2semidirect
28. #79836C2semidirect
29. #79833C2semidirect
30. #79741C2semidirect
31. #79724C2semidirect
209. #3374D3semidirect
1578. C3#62168semidirect

Maximal subgroups

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

subgroupindex
#870382
#870252
C3×#33742
#836992
#836842
#817492
#817472
#817452
#816132
#816112
#812572
#812532
#812322
D3×#4792
#810302
#810132
#804932
#804912
#804882
#804862
#799872
#799462
#798462
#798452
#798362
#798332
#797412
#797242
#621683