Finite Group Databasebeta

← #11685737

Subgroups — #11685737

Order 768.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86586C211yesmaximal, characteristic, complemented
2#86537C211yesmaximal, characteristic, complemented
3C3×#3244C211yesmaximal, characteristic, complemented
4#83481C211yesmaximal, characteristic, complemented
5#83462C211yesmaximal, characteristic
6#81968C211yesmaximal, characteristic, complemented
7#81967C211yesmaximal, characteristic, complemented
8#81906C211yesmaximal, characteristic, complemented
9#81903C211yesmaximal, characteristic, complemented
10#81671C211yesmaximal, characteristic, complemented
11#81670C211yesmaximal, characteristic, complemented
12#81661C211yesmaximal, characteristic, complemented
13#81634C211yesmaximal, characteristic, complemented
14#81504C211yesmaximal, characteristic, complemented
15#81495C211yesmaximal, characteristic, complemented
16#81418C211yesmaximal, characteristic, complemented
17#81416C211yesmaximal, characteristic, complemented
18#81363C211yesmaximal, characteristic, complemented
19#81348C211yesmaximal, characteristic
20#81315C211yesmaximal, characteristic, complemented
21#81313C211yesmaximal, characteristic
22#81266C211yesmaximal, characteristic, complemented
23#81220C211yesmaximal, characteristic, complemented
24#81157C211yesmaximal, characteristic, complemented
25#81154C211yesmaximal, characteristic, complemented
26#81091C211yesmaximal, characteristic, complemented
27#81055C211yesmaximal, characteristic, complemented
28#81037C211yesmaximal, characteristic, complemented
29#81007C211yesmaximal, characteristic, complemented
30#79385C211yesmaximal, characteristic, complemented
31#79359C211yesmaximal, characteristic, complemented
32#61858—31nomaximal, Sylow
33C3×#544C2211yescharacteristic
34C3×#542C2211yescharacteristic
35#5729—21no—
36#5727C2211yescharacteristic
37#5727C2211yescharacteristic
38D3×C4⋊Q8—21no—
39#5722C2211yescharacteristic
40#5722C2211yescharacteristic
41#5722C2211yescharacteristic
42#5721C2211yescharacteristic
43#5701—21no—
44#5701—21no—
45#5690C2211yescharacteristic
46#5690C2211yescharacteristic
47#5689—21no—
48#5688—21no—
49#5685C2211yescharacteristic
50#5685C2211yescharacteristic
51#5672—21no—
52#5671—21no—
53#5671C2211yescharacteristic
54#5671C2211yescharacteristic
55#5651—21no—
56#5650—21no—
57#5636—21no—
58#5636—21no—
59#5632—21no—
60#5632—21no—
61#5625—21no—
62#5625C2211yescharacteristic
63#5623—21no—
64#5622C2211yescharacteristic
65#5603C2211yescharacteristic
66#5600C2211yescharacteristic
67#5569C2211yescharacteristic
68#5567C2211yescharacteristic
69#5542C2211yescharacteristic
70#5539C2211yescharacteristic
71#5523C2211yescharacteristic
72#5522C2211yescharacteristic
73#5519C2211yescharacteristic
74#5518C2211yescharacteristic
75#5517C2211yescharacteristic
76#5504C2211yescharacteristic
77C2×#888C2211yescharacteristic
78C3×#501C2211yescharacteristic
79C3×#498C2211yescharacteristic
80C3×#489C2211yescharacteristic
81C3×#488C2211yescharacteristic
82C3×#485C2211yescharacteristic
83C3×#483C2211yescharacteristic
84C3×#482C2211yescharacteristic
85C3×#481C2211yescharacteristic
86C3×#479C2211yescharacteristic
87C3×#478C2211yescharacteristic
88C3×#476C2211yescharacteristic
89C3×#475C2211yescharacteristic
90C3×#433C2211yescharacteristic
91#5094C2211yescharacteristic
92#5094C2211yescharacteristic
93#5093C2211yescharacteristic
94#5091C2211yescharacteristic
95#5084C2211yescharacteristic
96#5081C2211yescharacteristic
97#5069C2211yescharacteristic
98#5065C2211yescharacteristic
99#5063C2211yescharacteristic
100#5063C2211yescharacteristic
101#5057C2211yescharacteristic
102#5054C2211yescharacteristic
103#5047C2211yescharacteristic
104#5043C2211yescharacteristic
105#5037C2211yescharacteristic
106#5034C2211yescharacteristic
107#5030C2211yescharacteristic
108C4×#215C2211yescharacteristic
109C4×#214C2211yescharacteristic
110#5014C2211yescharacteristic
111#5000C2211yescharacteristic
112#4996C2211yescharacteristic
113#4996C2211yescharacteristic
114#4971C2211yescharacteristic
115#4970C2211yescharacteristic
116#4891C2211yescharacteristic
117#4889C2211yescharacteristic
118#4878C2211yescharacteristic
119#4877C2211yescharacteristic
120#4877C2211yescharacteristic
121#4876C2211yescharacteristic
122#4875C2211yescharacteristic
123#4873C2211yescharacteristic
124#4871C2211yescharacteristic
125#4870C2211yescharacteristic
126#4870C2211yescharacteristic
127#4857C2211yescharacteristic
128#4857C2211yescharacteristic
129#4856C2211yescharacteristic
130#4856C2211yescharacteristic
131#4856C2211yescharacteristic
132#4855C2211yescharacteristic
133#4855C2211yescharacteristic
134#4855C2211yescharacteristic
135#4854C2211yescharacteristic
136#4854C2211yescharacteristic
137#4854C2211yescharacteristic
138#4854C2211yescharacteristic
139#4854C2211yescharacteristic
140#4854C2211yescharacteristic
141#4854C2211yescharacteristic
142#4853C2211yescharacteristic
143#4853C2211yescharacteristic
144#4853C2211yescharacteristic
145#4852C2211yescharacteristic
146#4852C2211yescharacteristic
147#4852C2211yescharacteristic
148#4849C2211yescharacteristic
149#4847C2211yescharacteristic
150#4841C2211yescharacteristic
151#4831C2211yescharacteristic
152#4830C2211yescharacteristic
153#4829C2211yescharacteristic
154#4828C2211yescharacteristic
155#4828C2211yescharacteristic
156#4818C2211yescharacteristic
157#4818C2211yescharacteristic
158#4817C2211yescharacteristic
159#4817C2211yescharacteristic
160#4797C2211yescharacteristic
161#4796C2211yescharacteristic
162#4795C2211yescharacteristic
163#4795C2211yescharacteristic
164#4793C2211yescharacteristic
165#4792C2211yescharacteristic
166#4792C2211yescharacteristic
167#4792C2211yescharacteristic
168#4791C2211yescharacteristic
169#4791C2211yescharacteristic
170#4790C2211yescharacteristic
171#4789C2211yescharacteristic
172#4787C2211yescharacteristic
173#4787C2211yescharacteristic
174#4785C2211yescharacteristic
175#4768C2211yescharacteristic
176#4767C2211yescharacteristic
177#4767C2211yescharacteristic
178#4765C2211yescharacteristic
179#4765C2211yescharacteristic
180#4765C2211yescharacteristic
181#4763C2211yescharacteristic
182#4761C2211yescharacteristic
183#4759C2211yescharacteristic
184#4759C2211yescharacteristic
185#4758C2211yescharacteristic
186#4758C2211yescharacteristic
187#4756C2211yescharacteristic
188#4733C2211yescharacteristic
189#4733C2211yescharacteristic
190#4722C2211yescharacteristic
191#4721C2211yescharacteristic
192#4720C2211yescharacteristic
193#4720C2211yescharacteristic
194#4719C2211yescharacteristic
195#4718C2211yescharacteristic
196#4716C2211yescharacteristic
197#4710C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201C4×#204C2211yescharacteristic
202#4679C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3555—31no—
205#3503—31no—
206#3388—31no—
207#3388—31no—
208#3387—31no—
209#3387—31no—
210#3387—31no—
211#3384—31no—
212#3381—31no—
213Q8×SD16—31no—
214#3376—31no—
215#3376—31no—
216#3374—31no—
217#3369—31no—
218#3369—31no—
219#3367—31no—
220#3364—31no—
221#3359—31no—
222#3244—31no—
223#3244D311yescharacteristic, complemented
224#3242—31no—
225#3242—31no—
226#3239—31no—
227#3229—31no—
228#3125—31no—
229#3125—31no—
230#3120—31no—
231#3120—31no—
232#3116—31no—
233#3102—31no—
234#2985—31no—
235C2×D3×Q8—21no—
236C2×D3×Q8—21no—
237C2×#235C2311yescharacteristic
238C22×Dic6—21no—
239C3×C4⋊Q8—21no—
240C3×C4⋊Q8C2311yescharacteristic
241C3×C4⋊Q8C2311yescharacteristic
242C3×C4⋊Q8C2311yescharacteristic
243C3×#126—21no—
244C3×#125—21no—
245C3×#125C2311yescharacteristic
246C3×#125C2311yescharacteristic
247C3×#124—21no—
248C3×#124C2311yescharacteristic
249C3×#123—21no—
250C3×C22⋊Q8—21no—
251C3×C22⋊Q8—21no—
252C3×C22⋊Q8—21no—
253C3×C22⋊Q8C2311yescharacteristic
254C3×#121C2311yescharacteristic
255C3×C4×Q8C2311yescharacteristic
256C3×C4×D4C2311yescharacteristic
257C3×#117C2311yescharacteristic
258C3×#117C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260#946—21no—
261#946—21no—
262Q8×Dic3—21no—
263Q8×Dic3C2311yescharacteristic
264Q8×Dic3C2311yescharacteristic
265#944—21no—
266#944—21no—
267#944—21no—
268#944—21no—
269#944—21no—
270#944—21no—
271#944—21no—
272#944C2311yescharacteristic
273#944C2311yescharacteristic
274C2×#216C2311yescharacteristic
275C2×#215C2311yescharacteristic
276#936—21no—
277#936C2311yescharacteristic
278#936C2311yescharacteristic
279#935—21no—
280#935—21no—
281D4×Dic3—21no—
282D4×Dic3C2311yescharacteristic
283D4×Dic3C2311yescharacteristic
284C2×#214C2311yescharacteristic
285C2×#213C2311yescharacteristic
286C4×#67—21no—
287C4×#67—21no—
288#926—21no—
289#926C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291#924—21no—
292#924—21no—
293#924C2311yescharacteristic
294#924C2311yescharacteristic
295C2×Dic3⋊C4—21no—
296C2×Dic3⋊C4—21no—
297C2×C4×Dic3C2311yescharacteristic
298C2×Dic12C2311yescharacteristic
299C2×Dic12C2311yescharacteristic
300C2×#204C2311yescharacteristic
301C2×#204C2311yescharacteristic
302#897—21no—
303#897—21no—
304#896—21no—
305#896—21no—
306#896—21no—
307#896—21no—
308#896—21no—
309#896—21no—
310#896—21no—
311#896—21no—
312#893C2311yescharacteristic
313#893C2311yescharacteristic
314#893C2311yescharacteristic
315#893C2311yescharacteristic
316#892—21no—
317#892—21no—
318D3×C4⋊C4—21no—
319D3×C4⋊C4—21no—
320D3×C4⋊C4—21no—
321D3×C4⋊C4—21no—
322#890—21no—
323#890—21no—
324#890D411yescharacteristic
325#890D411yescharacteristic
326#890C2311yescharacteristic
327#890C2311yescharacteristic
328#890C2311yescharacteristic
329#890C2311yescharacteristic
330#889—21no—
331#889—21no—
332#889—21no—
333#889—21no—
334#889—21no—
335#889—21no—
336#889—21no—
337#889—21no—
338#889—21no—
339#889—21no—
340#889—21no—
341#889—21no—
342#888—21no—
343#888—21no—
344#888—21no—
345#888—21no—
346#888—21no—
347#888—21no—
348#888—21no—
349#888—21no—
350#888D411yescharacteristic
351#888D411yescharacteristic
352#888C2311yescharacteristic
353#888C2311yescharacteristic
354#888C2311yescharacteristic
355#888C2311yescharacteristic
356#888C2311yescharacteristic
357#888C2311yescharacteristic
358#888C2311yescharacteristic
359#888C2311yescharacteristic
360#887—21no—
361#887—21no—
362#887—21no—
363#887—21no—
364#887—21no—
365#887—21no—
366#887C2311yescharacteristic
367#887C2311yescharacteristic
368#887C2311yescharacteristic
369#887C2311yescharacteristic
370#887C2311yescharacteristic
371#887C2311yescharacteristic
372#887C2311yescharacteristic
373#887C2311yescharacteristic
374#67⋊C4—21no—
375#67⋊C4—21no—
376#67⋊C4—21no—
377#67⋊C4—21no—
378#879—21no—
379#879—21no—
380#879—21no—
381#879—21no—
382#879—21no—
383#879—21no—
384#879—21no—
385#879—21no—
386#879—21no—
387#879—21no—
388#879—21no—
389#879—21no—
390#878—21no—
391#878—21no—
392#878—21no—
393#878—21no—
394#878—21no—
395#878—21no—
396#878—21no—
397#878—21no—
398#878D411yescharacteristic
399#878D411yescharacteristic
400#878D411yescharacteristic
401#878D411yescharacteristic
402#877—21no—
403#877—21no—
404#877—21no—
405#877—21no—
406C4×D12C2311yescharacteristic
407C4×D12C2311yescharacteristic
408#872—21no—
409C42×D3—21no—
410#870—21no—
411#870—21no—
412#870—21no—
413#870C2311yescharacteristic
414#869—21no—
415#869C2311yescharacteristic
416C4×Dic6—21no—
417C4×Dic6—21no—
418C4×Dic6C2311yescharacteristic
419C4×Dic6C2311yescharacteristic
420C4×Dic6C2311yescharacteristic
421C4×Dic6C2311yescharacteristic
422C4×Dic6C2311yescharacteristic
423C4×Dic6C2311yescharacteristic
424C4×Dic6C2311yescharacteristic
425C4×Dic6C2311yescharacteristic
426C3×#107C2311yescharacteristic
427C3×#107C2311yescharacteristic
428C3×#106C2311yescharacteristic
429C3×#106C2311yescharacteristic
430C3×#106C2311yescharacteristic
431C3×#106C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×C4⋊C8C2311yescharacteristic
435C3×C4⋊C8C2311yescharacteristic
436C3×#103C2311yescharacteristic
437C3×#103C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#102C2311yescharacteristic
441C3×#102C2311yescharacteristic
442C3×#102C2311yescharacteristic
443C3×#102C2311yescharacteristic
444C3×C22⋊C8C2311yescharacteristic
445C3×C22⋊C8C2311yescharacteristic
446C3×#97C2311yescharacteristic
447C3×C4×C8C2311yescharacteristic
448#835C2311yescharacteristic
449#835C2311yescharacteristic
450#832C2311yescharacteristic
451#832C2311yescharacteristic
452#830C2311yescharacteristic
453#830C2311yescharacteristic
454#821C2311yescharacteristic
455#821C2311yescharacteristic
456#818C2311yescharacteristic
457#818C2311yescharacteristic
458#817C2311yescharacteristic
459#817C2311yescharacteristic
460#816C2311yescharacteristic
461#816C2311yescharacteristic
462#816C2311yescharacteristic
463#816C2311yescharacteristic
464#816C2311yescharacteristic
465#816C2311yescharacteristic
466#815C2311yescharacteristic
467#815C2311yescharacteristic
468#815C2311yescharacteristic
469#815C2311yescharacteristic
470Dic3⋊C8C2311yescharacteristic
471Dic3⋊C8C2311yescharacteristic
472Dic3⋊C8C2311yescharacteristic
473Dic3⋊C8C2311yescharacteristic
474Dic3⋊C8C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478C8×Dic3C2311yescharacteristic
479C8×Dic3C2311yescharacteristic
480C8×Dic3C2311yescharacteristic
481C8×Dic3C2311yescharacteristic
482#810C2311yescharacteristic
483#810C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#810C2311yescharacteristic
487#810C2311yescharacteristic
488#810C2311yescharacteristic
489#810C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508#803C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#563—61no—
512Q82—31no—
513Q82—31no—
514Q82—31no—
515#557—31no—
516#557—31no—
517#557—31no—
518#557—31no—
519#557—31no—
520#556—31no—
521#556—31no—
522#556—31no—
523#556—61no—
524#554—31no—
525#554—31no—
526#554—31no—
527#554—61no—
528#554—61no—
529#552—61no—
530D4×Q8—31no—
531D4×Q8—31no—
532D4×Q8—61no—
533D4×Q8—61no—
534#544—31no—
535#544—61no—
536#544—61no—
537#544—61no—
538#544C2×D311yescharacteristic
539#542—31no—
540#542C2×D311yescharacteristic
541#541—31no—
542#541—31no—
543#541—61no—
544#541—61no—
545#541—61no—
546#533—31no—
547#533—31no—
548#533—61no—
549C2×C4⋊Q8—31no—
550C2×C4⋊Q8—61no—
551#529—31no—
552#520—31no—
553#520—31no—
554C4×#41—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#501—31no—
560#501C2×D311yescharacteristic
561#499—31no—
562#499—31no—
563#498—31no—
564#498—31no—
565#498—31no—
566#498C2×D311yescharacteristic
567#491—31no—
568#491—31no—
569#489—31no—
570#489—31no—
571#489—31no—
572#489C2×D311yescharacteristic
573#488—31no—
574#488C2×D311yescharacteristic
575#487—31no—
576#487—31no—
577#487—31no—
578#487—31no—
579#485—31no—
580#485—31no—
581#485C2×D311yescharacteristic
582#484—31no—
583#484—31no—
584#483—31no—
585#483—31no—
586#483—31no—
587#483C2×D311yescharacteristic
588#482C2×D311yescharacteristic
589#481—31no—
590#481C2×D311yescharacteristic
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#479C2×D311yescharacteristic
600#478—31no—
601#478—31no—
602#478—31no—
603#478—31no—
604#478C2×D311yescharacteristic
605#477—31no—
606#477—31no—
607#477—31no—
608#476—31no—
609#476—31no—
610#476—31no—
611#476—31no—
612#476C2×D311yescharacteristic
613#475—31no—
614#475—31no—
615#475—31no—
616#475—31no—
617#475—31no—
618#475—31no—
619#475—31no—
620#475—31no—
621#475—31no—
622#475—31no—
623#475—31no—
624#475C2×D311yescharacteristic
625#474—31no—
626#474—31no—
627#464—31no—
628#464—31no—
629#464—31no—
630#463—31no—
631#463—31no—
632#463—31no—
633#462—31no—
634#462—31no—
635#462—31no—
636#461—31no—
637#461—31no—
638#461—31no—
639#452—31no—
640#452—31no—
641#452—31no—
642#449—31no—
643#446—31no—
644#446—31no—
645#446—31no—
646#446—31no—
647#446—31no—
648#446—31no—
649C8×Q8—31no—
650C8×Q8—31no—
651#442—31no—
652#442—31no—
653#441—31no—
654#441—31no—
655#441—31no—
656#441—31no—
657#441—31no—
658#441—31no—
659#440—31no—
660#440—31no—
661#440—31no—
662#440—31no—
663C4×Q16—31no—
664C4×Q16—31no—
665C4×Q16—31no—
666C4×SD16—31no—
667C4×SD16—31no—
668C4×SD16—31no—
669C4×SD16—31no—
670C4×SD16—31no—
671C4×SD16—31no—
672C4×SD16—31no—
673C4×SD16—31no—
674C4×D8—31no—
675#433—31no—
676#433—31no—
677#433—31no—
678#433C2×D311yescharacteristic
679#432—31no—
680#431—31no—
681C2×C3×Q8—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2411yescharacteristic
685C2×C3×D4—21no—
686C2×C3×D4C2411yescharacteristic
687C22×C3×C4—21no—
688C22×C3×C4—21no—
689C22×C3×C4C2411yescharacteristic
690C2×#67—21no—
691C22×Dic3—21no—
692C22×Dic3—21no—
693C22×Dic3—21no—
694C22×Dic3C2×D411yescharacteristic
695C22×Dic3C2×D411yescharacteristic
696D3×Q8—82no—
697D3×Q8—82no—
698#235—22no—
699#235—22no—
700C2×D12C2411yescharacteristic
701C2×C4×D3—21no—
702C2×C4×D3—21no—
703C2×C4×D3—21no—
704C2×C4×D3—21no—
705C2×C4×D3—21no—
706C2×C4×D3—21no—
707C2×C4×D3—21no—
708C2×Dic6—21no—
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6—21no—
714C2×Dic6—21no—
715C2×Dic6—21no—
716C2×Dic6—82no—
717C2×Dic6C2×D411yescharacteristic
718C2×Dic6C2×D411yescharacteristic
719C2×Dic6C2×D411yescharacteristic
720C2×Dic6C2×D411yescharacteristic
721C2×Dic6C2411yescharacteristic
722C2×Dic6C2411yescharacteristic
723C2×Dic6C2411yescharacteristic
724C2×C3×C8C2411yescharacteristic
725C2×C3×C8C2411yescharacteristic
726C2×C3×C8C2411yescharacteristic
727C2×C3×C8C2411yescharacteristic
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⋊C4C2411yescharacteristic
741C3×C4⋊C4C2411yescharacteristic
742C3×C4⋊C4C2411yescharacteristic
743C3×C4⋊C4C2411yescharacteristic
744C3×C4⋊C4C2411yescharacteristic
745C3×C4⋊C4C2411yescharacteristic
746C3×C22⋊C4—21no—
747C3×C22⋊C4—21no—
748C3×C22⋊C4—21no—
749C3×C22⋊C4—21no—
750C3×C22⋊C4—21no—
751C3×C22⋊C4—21no—
752C3×C22⋊C4C2×D411yescharacteristic
753C3×C22⋊C4C2×D411yescharacteristic
754C3×C42—21no—
755C3×C42—21no—
756C3×C42C2411yescharacteristic
757C3×C42C2411yescharacteristic
758#217—21no—
759#217—21no—
760#217—21no—
761#217—21no—
762#217—21no—
763#217—21no—
764#217—21no—
765#217—21no—
766#217C2×D411yescharacteristic
767#217C2×D411yescharacteristic
768#216—22no—
769#215—22no—
770#214—22no—
771#213—22no—
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)⋊C4—21no—
778C4⋊Dic3—21no—
779C4⋊Dic3—21no—
780C4⋊Dic3—21no—
781C4⋊Dic3—21no—
782C4⋊Dic3—21no—
783C4⋊Dic3—21no—
784C4⋊Dic3—21no—
785C4⋊Dic3—21no—
786C4⋊Dic3—21no—
787C4⋊Dic3C2×D411yescharacteristic
788C4⋊Dic3C2×D411yescharacteristic
789C4⋊Dic3C2×D411yescharacteristic
790C4⋊Dic3C2×D411yescharacteristic
791C4⋊Dic3C2×D411yescharacteristic
792C4⋊Dic3C2×D411yescharacteristic
793C4⋊Dic3C2411yescharacteristic
794C4⋊Dic3C2411yescharacteristic
795C4⋊Dic3C2411yescharacteristic
796C4⋊Dic3C2411yescharacteristic
797Dic3⋊C4—21no—
798Dic3⋊C4—21no—
799Dic3⋊C4—21no—
800Dic3⋊C4—21no—
801Dic3⋊C4—21no—
802Dic3⋊C4—21no—
803Dic3⋊C4—21no—
804Dic3⋊C4—21no—
805Dic3⋊C4—21no—
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⋊C4C2×D411yescharacteristic
830Dic3⋊C4C2×D411yescharacteristic
831Dic3⋊C4C2×D411yescharacteristic
832Dic3⋊C4C2×D411yescharacteristic
833Dic3⋊C4C2×D411yescharacteristic
834Dic3⋊C4C2×D411yescharacteristic
835Dic3⋊C4C2×D411yescharacteristic
836Dic3⋊C4C2×D411yescharacteristic
837C4×Dic3—21no—
838C4×Dic3—21no—
839C4×Dic3—21no—
840C4×Dic3—21no—
841C4×Dic3—21no—
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×Dic3C2×D411yescharacteristic
852C4×Dic3C2×D411yescharacteristic
853C4×Dic3C2411yescharacteristic
854C4×Dic3C2411yescharacteristic
855C4×Dic3C2411yescharacteristic
856C4×Dic3C2411yescharacteristic
857C2×C3⋊C8C2411yescharacteristic
858C2×C3⋊C8C2411yescharacteristic
859C2×C3⋊C8C2411yescharacteristic
860C2×C3⋊C8C2411yescharacteristic
861Dic12—22no—
862Dic12—22no—
863#204—22no—
864#204—22no—
865C2×#41—31no—
866C22×Q8—61no—
867C22×Q8—61no—
868C22×Q8—61no—
869C2×Q16—31no—
870C2×Q16—31no—
871C2×Q16—31no—
872C2×SD16—31no—
873C2×SD16—31no—
874C2×SD16—31no—
875C2×SD16—31no—
876C2×D8—31no—
877C4⋊Q8—21no—
878C4⋊Q8—31no—
879C4⋊Q8—31no—
880C4⋊Q8—31no—
881C4⋊Q8—31no—
882C4⋊Q8—31no—
883C4⋊Q8—31no—
884C4⋊Q8—31no—
885C4⋊Q8—31no—
886C4⋊Q8—31no—
887C4⋊Q8—31no—
888C4⋊Q8—31no—
889C4⋊Q8—31no—
890C4⋊Q8—31no—
891C4⋊Q8—61no—
892C4⋊Q8—61no—
893C4⋊Q8—61no—
894C4⋊Q8—61no—
895C4⋊Q8—61no—
896C4⋊Q8—61no—
897C4⋊Q8—61no—
898C4⋊Q8—61no—
899C4⋊Q8—61no—
900C4⋊Q8—61no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8—61no—
906C4⋊Q8—61no—
907C4⋊Q8C22×D311yescharacteristic
908C4⋊Q8C22×D311yescharacteristic
909C4⋊Q8C22×D311yescharacteristic
910#126—21no—
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—31no—
925#125—31no—
926#125—31no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125—61no—
935#125—61no—
936#125—61no—
937#125—61no—
938#125—61no—
939#125—61no—
940#125—61no—
941#125—61no—
942#125—61no—
943#125—61no—
944#125—61no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125C22×D311yescharacteristic
949#125C22×D311yescharacteristic
950#124—21no—
951#124—31no—
952#124—31no—
953#124—61no—
954#124C22×D311yescharacteristic
955#123—21no—
956#123—61no—
957#123—61no—
958C22⋊Q8—21no—
959C22⋊Q8—21no—
960C22⋊Q8—21no—
961C22⋊Q8—31no—
962C22⋊Q8—31no—
963C22⋊Q8—31no—
964C22⋊Q8—31no—
965C22⋊Q8—31no—
966C22⋊Q8—31no—
967C22⋊Q8—61no—
968C22⋊Q8—61no—
969C22⋊Q8—61no—
970C22⋊Q8—61no—
971C22⋊Q8—61no—
972C22⋊Q8—61no—
973C22⋊Q8—61no—
974C22⋊Q8—61no—
975C22⋊Q8—61no—
976C22⋊Q8—61no—
977C22⋊Q8—61no—
978C22⋊Q8—61no—
979C22⋊Q8—61no—
980C22⋊Q8—61no—
981C22⋊Q8—61no—
982C22⋊Q8—61no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8C22×D311yescharacteristic
990#121C22×D311yescharacteristic
991C4×Q8—31no—
992C4×Q8—31no—
993C4×Q8—31no—
994C4×Q8—31no—
995C4×Q8—31no—
996C4×Q8—31no—
997C4×Q8—31no—
998C4×Q8—31no—
999C4×Q8—31no—
1000C4×Q8—31no—
1001C4×Q8—31no—
1002C4×Q8—31no—
1003C4×Q8—31no—
1004C4×Q8—31no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
1008C4×Q8—31no—
1009C4×Q8—61no—
1010C4×Q8—61no—
1011C4×Q8—61no—
1012C4×Q8—61no—
1013C4×Q8—61no—
1014C4×Q8—61no—
1015C4×Q8—61no—
1016C4×Q8—61no—
1017C4×Q8—61no—
1018C4×Q8C22×D311yescharacteristic
1019C4×D4—31no—
1020C4×D4—31no—
1021C4×D4—31no—
1022C4×D4—31no—
1023C4×D4—31no—
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—61no—
1028C4×D4—61no—
1029C4×D4—61no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4—61no—
1033C4×D4—61no—
1034C4×D4C22×D311yescharacteristic
1035#117—31no—
1036#117—61no—
1037#117—61no—
1038#117—61no—
1039#117—61no—
1040#117—61no—
1041#117—61no—
1042#117—61no—
1043#117—61no—
1044#117C22×D311yescharacteristic
1045#117C22×D311yescharacteristic
1046C2×C4⋊C4—31no—
1047C2×C4⋊C4—61no—
1048C2×C4⋊C4—61no—
1049C2×C4⋊C4—61no—
1050C2×C4⋊C4—61no—
1051C2×C4⋊C4—61no—
1052C2×C4⋊C4—61no—
1053C2×C4⋊C4C22×D311yescharacteristic
1054C2×C42—31no—
1055C2×C42—61no—
1056#107—31no—
1057#107—31no—
1058#107—31no—
1059#107—31no—
1060#107—31no—
1061#107—31no—
1062#107C22×D311yescharacteristic
1063#107C22×D311yescharacteristic
1064#106—31no—
1065#106—31no—
1066#106—31no—
1067#106—31no—
1068#106—31no—
1069#106—31no—
1070#106—31no—
1071#106—31no—
1072#106—31no—
1073#106—31no—
1074#106C22×D311yescharacteristic
1075#106C22×D311yescharacteristic
1076#106C22×D311yescharacteristic
1077#106C22×D311yescharacteristic
1078#106C22×D311yescharacteristic
1079#106C22×D311yescharacteristic
1080C4⋊C8—31no—
1081C4⋊C8—31no—
1082C4⋊C8—31no—
1083C4⋊C8—31no—
1084C4⋊C8—31no—
1085C4⋊C8—31no—
1086C4⋊C8—31no—
1087C4⋊C8—31no—
1088C4⋊C8—31no—
1089C4⋊C8—31no—
1090C4⋊C8C22×D311yescharacteristic
1091C4⋊C8C22×D311yescharacteristic
1092#103—31no—
1093#103—31no—
1094#103—31no—
1095#103—31no—
1096#103—31no—
1097#103—31no—
1098#103—31no—
1099#103—31no—
1100#103—31no—
1101#103—31no—
1102#103—31no—
1103#103—31no—
1104#103—31no—
1105#103—31no—
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103C22×D311yescharacteristic
1111#103C22×D311yescharacteristic
1112#103C22×D311yescharacteristic
1113#103C22×D311yescharacteristic
1114#102—31no—
1115#102—31no—
1116#102—31no—
1117#102—31no—
1118#102—31no—
1119#102—31no—
1120#102C22×D311yescharacteristic
1121#102C22×D311yescharacteristic
1122#102C22×D311yescharacteristic
1123#102C22×D311yescharacteristic
1124C22⋊C8—31no—
1125C22⋊C8—31no—
1126C22⋊C8C22×D311yescharacteristic
1127C22⋊C8C22×D311yescharacteristic
1128#97—31no—
1129#97—31no—
1130#97—31no—
1131#97—31no—
1132#97—31no—
1133#97C22×D311yescharacteristic
1134C4×C8—31no—
1135C4×C8—31no—
1136C4×C8—31no—
1137C4×C8—31no—
1138C4×C8—31no—
1139C4×C8C22×D311yescharacteristic
1140C23×C3—21no—
1141C23×C3C22×D411yescharacteristic
1142C22×D3—21no—
1143C3×Q8—21no—
1144C3×Q8—21no—
1145C3×Q8—81no—
1146C3×Q8—81no—
1147C3×Q8—81no—
1148C3×D4—21no—
1149C3×D4—21no—
1150C3×D4—81no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—81no—
1161C2×C3×C4—81no—
1162C2×C3×C4C22×D411yescharacteristic
1163C2×C3×C4C22×D411yescharacteristic
1164C2×C3×C4C22×D411yescharacteristic
1165C2×C3×C4C22×D411yescharacteristic
1166C2×C3×C4C22×D411yescharacteristic
1167C2×C3×C4C2511yescharacteristic
1168#67—24no—
1169C2×Dic3—21no—
1170C2×Dic3—22no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—41no—
1178C2×Dic3—42no—
1179C2×Dic3—81no—
1180C2×Dic3—81no—
1181C2×Dic3C22×D411yescharacteristic
1182C2×Dic3C22×D411yescharacteristic
1183C2×Dic3C22×D411yescharacteristic
1184C2×Dic3C22×D411yescharacteristic
1185C2×Dic3C22×D411yescharacteristic
1186C2×Dic3C22×D411yescharacteristic
1187C2×Dic3C22×D411yescharacteristic
1188C2×Dic3C22×D411yescharacteristic
1189D12—21no—
1190D122−1+412yes—
1191C4×D3—24no—
1192C4×D3—42no—
1193C4×D3—42no—
1194C4×D3—81no—
1195C4×D3—81no—
1196C4×D3—81no—
1197C4×D3—81no—
1198Dic6—21no—
1199Dic6—22no—
1200Dic6—22no—
1201Dic6—21no—
1202Dic6—21no—
1203Dic6—21no—
1204Dic6—21no—
1205Dic6—41no—
1206Dic6—41no—
1207Dic6—42no—
1208Dic6—42no—
1209Dic6—81no—
1210Dic6—81no—
1211Dic6—81no—
1212Dic6—81no—
1213Dic6—81no—
1214Dic6—81no—
1215Dic62−1+412yes—
1216C3×C8—21no—
1217C3×C8—21no—
1218C3×C8—21no—
1219C3×C8—21no—
1220C3⋊C8—21no—
1221C3⋊C8—21no—
1222C3⋊C8—21no—
1223C3⋊C8—21no—
1224#41—62no—
1225#41—62no—
1226C2×Q8—21no—
1227C2×Q8—21no—
1228C2×Q8—21no—
1229C2×Q8—31no—
1230C2×Q8—31no—
1231C2×Q8—31no—
1232C2×Q8—31no—
1233C2×Q8—31no—
1234C2×Q8—31no—
1235C2×Q8—31no—
1236C2×Q8—61no—
1237C2×Q8—61no—
1238C2×Q8—61no—
1239C2×Q8—61no—
1240C2×Q8—61no—
1241C2×Q8—61no—
1242C2×Q8—61no—
1243C2×Q8—61no—
1244C2×Q8—242no—
1245C2×Q8—242no—
1246C2×Q8—242no—
1247C2×Q8C23×D311yescharacteristic
1248C2×D4—21no—
1249C2×D4—31no—
1250C2×D4—61no—
1251C2×D4C23×D311yescharacteristic
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—61no—
1257C22×C4—61no—
1258C22×C4—61no—
1259C22×C4—61no—
1260C22×C4—61no—
1261C22×C4—61no—
1262C22×C4—61no—
1263C22×C4—61no—
1264C22×C4—61no—
1265C22×C4—61no—
1266C22×C4C23×D311yescharacteristic
1267Q16—62no—
1268Q16—62no—
1269Q16—62no—
1270SD16—62no—
1271SD16—62no—
1272SD16—62no—
1273SD16—62no—
1274D8—62no—
1275C2×C8—31no—
1276C2×C8—31no—
1277C2×C8—31no—
1278C2×C8—31no—
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—31no—
1294C4⋊C4—31no—
1295C4⋊C4—31no—
1296C4⋊C4—31no—
1297C4⋊C4—31no—
1298C4⋊C4—31no—
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—31no—
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⋊C4D3×D411yescharacteristic
1353C4⋊C4D3×D411yescharacteristic
1354C4⋊C4C23×D311yescharacteristic
1355C4⋊C4C23×D311yescharacteristic
1356C4⋊C4C23×D311yescharacteristic
1357C4⋊C4C23×D311yescharacteristic
1358C4⋊C4C23×D311yescharacteristic
1359C4⋊C4C23×D311yescharacteristic
1360C22⋊C4—21no—
1361C22⋊C4—21no—
1362C22⋊C4—21no—
1363C22⋊C4—21no—
1364C22⋊C4—21no—
1365C22⋊C4—21no—
1366C22⋊C4—31no—
1367C22⋊C4—31no—
1368C22⋊C4—61no—
1369C22⋊C4—61no—
1370C22⋊C4—61no—
1371C22⋊C4—61no—
1372C22⋊C4—61no—
1373C22⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1383C22⋊C4D3×D411yescharacteristic
1384C42—21no—
1385C42—21no—
1386C42—31no—
1387C42—31no—
1388C42—31no—
1389C42—31no—
1390C42—31no—
1391C42—31no—
1392C42—61no—
1393C42—61no—
1394C42—61no—
1395C42—61no—
1396C42—61no—
1397C42—61no—
1398C42—61no—
1399C42—61no—
1400C42—61no—
1401C42—61no—
1402C42—61no—
1403C42—61no—
1404C42—61no—
1405C42—61no—
1406C42C23×D311yescharacteristic
1407C42C23×D311yescharacteristic
1408C22×C3—21no—
1409C22×C3—21no—
1410C22×C3—21no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3C23×D411yescharacteristic
1415C2×D3—22no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C3×C4—21no—
1419C3×C4—21no—
1420C3×C4—21no—
1421C3×C4—21no—
1422C3×C4—21no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427C3×C4—41no—
1428C3×C4—41no—
1429C3×C4—41no—
1430C3×C4C2×2−1+411yescharacteristic
1431C3×C4C2×2−1+411yescharacteristic
1432Dic3—21no—
1433Dic3—21no—
1434Dic3—21no—
1435Dic3—21no—
1436Dic3—22no—
1437Dic3—21no—
1438Dic3—21no—
1439Dic3—21no—
1440Dic3—41no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3#57712yes—
1447C23—21no—
1448C23—61no—
1449C23C2×D3×D411yescharacteristic
1450Q8—21no—
1451Q8—21no—
1452Q8—32no—
1453Q8—62no—
1454Q8—62no—
1455Q8—61no—
1456Q8—61no—
1457Q8—61no—
1458Q8—61no—
1459Q8—61no—
1460Q8—81no—
1461Q8—81no—
1462Q8—81no—
1463Q8—121no—
1464Q8—121no—
1465Q8—122no—
1466Q8—122no—
1467Q8—241no—
1468Q8—241no—
1469Q8—241no—
1470Q8—241no—
1471Q8—241no—
1472Q8—241no—
1473D4—21no—
1474D4—21no—
1475D4—32no—
1476D4—64no—
1477D4—61no—
1478D4—81no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—31no—
1489C2×C4—31no—
1490C2×C4—31no—
1491C2×C4—31no—
1492C2×C4—31no—
1493C2×C4—31no—
1494C2×C4—31no—
1495C2×C4—31no—
1496C2×C4—64no—
1497C2×C4—62no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—122no—
1508C2×C4—122no—
1509C2×C4—122no—
1510C2×C4—121no—
1511C2×C4—241no—
1512C2×C4—241no—
1513C2×C4—241no—
1514C2×C4—241no—
1515C2×C4—241no—
1516C2×C4—241no—
1517C2×C4C2×D3×D411yescharacteristic
1518C2×C4C2×D3×D411yescharacteristic
1519C2×C4C2×D3×D411yescharacteristic
1520C2×C4C2×D3×D411yescharacteristic
1521C2×C4C2×D3×D411yescharacteristic
1522C2×C4C24×D311yescharacteristic
1523C8—21no—
1524C8—21no—
1525C8—21no—
1526C8—21no—
1527C8—61no—
1528C8—61no—
1529C8—61no—
1530C8—61no—
1531C2×C3—41no—
1532C2×C3—81no—
1533C2×C3#348611yescharacteristic
1534C2×C3C2×#57711yescharacteristic
1535C2×C3#358611yescharacteristic
1536D3—42no—
1537C22—21no—
1538C22—21no—
1539C22—21no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—62no—
1544C22—121no—
1545C22—121no—
1546C22C22×D3×D411yescharacteristic
1547C4—21no—
1548C4—21no—
1549C4—21no—
1550C4—21no—
1551C4—21no—
1552C4—32no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—62no—
1561C4—61no—
1562C4—61no—
1563C4—61no—
1564C4—61no—
1565C4—61no—
1566C4—61no—
1567C4—61no—
1568C4—121no—
1569C4—121no—
1570C4—121no—
1571C4—121no—
1572C4—121no—
1573C4—121no—
1574C4D3×2−1+411yescharacteristic
1575C4D3×2−1+411yescharacteristic
1576C3#6185811yescharacteristic, complemented, Sylow
1577C2—41no—
1578C2—81no—
1579C2—122no—
1580C2#8635511yescharacteristic
1581C2D3×#57711yescharacteristic
1582C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3244C2
socleC22×C3C23×D4
prime radical#5037C22
hypercenter#3244D3
hypocenterC3#61858
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
1. #86586C2semidirect
2. #86537C2semidirect
3. C3×#3244C2semidirect
4. #83481C2semidirect
6. #81968C2semidirect
7. #81967C2semidirect
8. #81906C2semidirect
9. #81903C2semidirect
10. #81671C2semidirect
11. #81670C2semidirect
12. #81661C2semidirect
13. #81634C2semidirect
14. #81504C2semidirect
15. #81495C2semidirect
16. #81418C2semidirect
17. #81416C2semidirect
18. #81363C2semidirect
20. #81315C2semidirect
22. #81266C2semidirect
23. #81220C2semidirect
24. #81157C2semidirect
25. #81154C2semidirect
26. #81091C2semidirect
27. #81055C2semidirect
28. #81037C2semidirect
29. #81007C2semidirect
30. #79385C2semidirect
31. #79359C2semidirect
223. #3244D3semidirect
1576. C3#61858semidirect

Maximal subgroups

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

subgroupindex
#865862
#865372
C3×#32442
#834812
#834622
#819682
#819672
#819062
#819032
#816712
#816702
#816612
#816342
#815042
#814952
#814182
#814162
#813632
#813482
#813152
#813132
#812662
#812202
#811572
#811542
#810912
#810552
#810372
#810072
#793852
#793592
#618583