Finite Group Databasebeta

← #11685687

Subgroups — #11685687

Order 768.

1612 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86585C211yesmaximal, characteristic, complemented
2#86503C211yesmaximal, characteristic
3C3×#3242C211yesmaximal, characteristic, complemented
4#83477C211yesmaximal, characteristic
5#83451C211yesmaximal, characteristic, complemented
6#81968C211yesmaximal, characteristic, complemented
7#81965C211yesmaximal, characteristic, complemented
8#81930C211yesmaximal, characteristic, complemented
9#81913C211yesmaximal, characteristic, complemented
10#81735C211yesmaximal, characteristic, complemented
11#81735C211yesmaximal, characteristic, complemented
12#81626C211yesmaximal, characteristic, complemented
13#81625C211yesmaximal, characteristic, complemented
14#81503C211yesmaximal, characteristic, complemented
15#81501C211yesmaximal, characteristic, complemented
16#81497C211yesmaximal, characteristic, complemented
17#81497C211yesmaximal, characteristic, complemented
18#81461C211yesmaximal, characteristic, complemented
19#81455C211yesmaximal, characteristic, complemented
20#81423C211yesmaximal, characteristic, complemented
21#81413C211yesmaximal, characteristic, complemented
22#81226C211yesmaximal, characteristic, complemented
23#81222C211yesmaximal, characteristic, complemented
24#81218C211yesmaximal, characteristic, complemented
25#81218C211yesmaximal, characteristic, complemented
26#81139C211yesmaximal, characteristic, complemented
27#81105C211yesmaximal, characteristic, complemented
28#81041C211yesmaximal, characteristic, complemented
29#81007C211yesmaximal, characteristic, complemented
30#79395C211yesmaximal, characteristic
31#79359C211yesmaximal, characteristic, complemented
32#61856—31nomaximal, Sylow
33C3×#544C2211yescharacteristic
34C3×#541C2211yescharacteristic
35#5732C2211yescharacteristic
36#5732C2211yescharacteristic
37#5722—21no—
38#5722C2211yescharacteristic
39#5722C2211yescharacteristic
40#5721—21no—
41#5721C2211yescharacteristic
42#5721C2211yescharacteristic
43#5710—21no—
44#5710—21no—
45#5707—21no—
46#5707—21no—
47#5699—21no—
48#5699—21no—
49#5694—21no—
50#5694—21no—
51#5690C2211yescharacteristic
52#5690C2211yescharacteristic
53#5685—21no—
54#5685—21no—
55#5685C2211yescharacteristic
56#5685C2211yescharacteristic
57#5685C2211yescharacteristic
58#5685C2211yescharacteristic
59#5643C2211yescharacteristic
60#5643C2211yescharacteristic
61#5624C2211yescharacteristic
62#5624C2211yescharacteristic
63#5623—21no—
64#5623—21no—
65#5622—21no—
66#5622—21no—
67#5585C2211yescharacteristic
68#5585C2211yescharacteristic
69#5569C2211yescharacteristic
70#5569C2211yescharacteristic
71#5535C2211yescharacteristic
72#5517C2211yescharacteristic
73#5517C2211yescharacteristic
74#5516C2211yescharacteristic
75#5516C2211yescharacteristic
76#5500C2211yescharacteristic
77C2×#887C2211yescharacteristic
78C3×#501C2211yescharacteristic
79C3×#499C2211yescharacteristic
80C3×#491C2211yescharacteristic
81C3×#487C2211yescharacteristic
82C3×#485C2211yescharacteristic
83C3×#485C2211yescharacteristic
84C3×#484C2211yescharacteristic
85C3×#483C2211yescharacteristic
86C3×#479C2211yescharacteristic
87C3×#479C2211yescharacteristic
88C3×#477C2211yescharacteristic
89C3×#475C2211yescharacteristic
90C3×#433C2211yescharacteristic
91#5090C2211yescharacteristic
92#5090C2211yescharacteristic
93#5088C2211yescharacteristic
94#5087C2211yescharacteristic
95#5084C2211yescharacteristic
96#5081C2211yescharacteristic
97#5067C2211yescharacteristic
98#5066C2211yescharacteristic
99#5066C2211yescharacteristic
100#5065C2211yescharacteristic
101#5063C2211yescharacteristic
102#5063C2211yescharacteristic
103#5050C2211yescharacteristic
104#5050C2211yescharacteristic
105#5045C2211yescharacteristic
106#5045C2211yescharacteristic
107#5030C2211yescharacteristic
108#5030C2211yescharacteristic
109C4×#216C2211yescharacteristic
110C4×#216C2211yescharacteristic
111#5003C2211yescharacteristic
112#5003C2211yescharacteristic
113#5000C2211yescharacteristic
114#4968C2211yescharacteristic
115#4967C2211yescharacteristic
116#4891C2211yescharacteristic
117#4891C2211yescharacteristic
118#4890C2211yescharacteristic
119#4890C2211yescharacteristic
120#4889C2211yescharacteristic
121#4889C2211yescharacteristic
122#4889C2211yescharacteristic
123#4889C2211yescharacteristic
124#4878C2211yescharacteristic
125#4877C2211yescharacteristic
126#4877C2211yescharacteristic
127#4876C2211yescharacteristic
128#4876C2211yescharacteristic
129#4875C2211yescharacteristic
130#4875C2211yescharacteristic
131#4874C2211yescharacteristic
132#4871C2211yescharacteristic
133#4871C2211yescharacteristic
134#4870C2211yescharacteristic
135#4870C2211yescharacteristic
136#4858C2211yescharacteristic
137#4857C2211yescharacteristic
138#4857C2211yescharacteristic
139#4856C2211yescharacteristic
140#4856C2211yescharacteristic
141#4855C2211yescharacteristic
142#4854C2211yescharacteristic
143#4854C2211yescharacteristic
144#4852C2211yescharacteristic
145#4852C2211yescharacteristic
146#4852C2211yescharacteristic
147#4852C2211yescharacteristic
148#4848C2211yescharacteristic
149#4848C2211yescharacteristic
150#4831C2211yescharacteristic
151#4830C2211yescharacteristic
152#4829C2211yescharacteristic
153#4829C2211yescharacteristic
154#4828C2211yescharacteristic
155#4828C2211yescharacteristic
156#4800C2211yescharacteristic
157#4800C2211yescharacteristic
158#4800C2211yescharacteristic
159#4800C2211yescharacteristic
160#4799C2211yescharacteristic
161#4799C2211yescharacteristic
162#4798C2211yescharacteristic
163#4798C2211yescharacteristic
164#4798C2211yescharacteristic
165#4798C2211yescharacteristic
166#4798C2211yescharacteristic
167#4798C2211yescharacteristic
168#4798C2211yescharacteristic
169#4798C2211yescharacteristic
170#4796C2211yescharacteristic
171#4796C2211yescharacteristic
172#4794C2211yescharacteristic
173#4794C2211yescharacteristic
174#4794C2211yescharacteristic
175#4794C2211yescharacteristic
176#4793C2211yescharacteristic
177#4793C2211yescharacteristic
178#4791C2211yescharacteristic
179#4791C2211yescharacteristic
180#4790C2211yescharacteristic
181#4790C2211yescharacteristic
182#4790C2211yescharacteristic
183#4790C2211yescharacteristic
184#4789C2211yescharacteristic
185#4789C2211yescharacteristic
186#4789C2211yescharacteristic
187#4789C2211yescharacteristic
188#4738C2211yescharacteristic
189#4738C2211yescharacteristic
190#4737C2211yescharacteristic
191#4737C2211yescharacteristic
192#4720C2211yescharacteristic
193#4720C2211yescharacteristic
194#4719C2211yescharacteristic
195#4718C2211yescharacteristic
196#4710C2211yescharacteristic
197#4710C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×#204C2211yescharacteristic
201C4×#204C2211yescharacteristic
202#4679C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3557—31no—
205#3502—31no—
206#3390—31no—
207#3390—31no—
208#3388—31no—
209#3388—31no—
210#3387—31no—
211#3385—31no—
212#3383—31no—
213#3381—31no—
214#3377—31no—
215#3377—31no—
216#3375—31no—
217#3371—31no—
218#3371—31no—
219#3369—31no—
220#3365—31no—
221#3364—31no—
222#3244—31no—
223#3243—31no—
224#3242D311yescharacteristic, complemented
225#3241—31no—
226#3240—31no—
227#3233—31no—
228#3127—31no—
229#3126—31no—
230#3121—31no—
231#3121—31no—
232#3117—31no—
233#3108—31no—
234#2985—31no—
235C22×Dic6C2311yescharacteristic
236C3×C4⋊Q8—21no—
237C3×C4⋊Q8C2311yescharacteristic
238C3×C4⋊Q8C2311yescharacteristic
239C3×C4⋊Q8C2311yescharacteristic
240C3×#126—21no—
241C3×#126—21no—
242C3×#125—21no—
243C3×#125—21no—
244C3×#125—21no—
245C3×#125C2311yescharacteristic
246C3×#125C2311yescharacteristic
247C3×#125C2311yescharacteristic
248C3×C22⋊Q8—21no—
249C3×C22⋊Q8—21no—
250C3×C22⋊Q8C2311yescharacteristic
251C3×C22⋊Q8C2311yescharacteristic
252C3×C4×Q8C2311yescharacteristic
253C3×C4×Q8C2311yescharacteristic
254C3×#117C2311yescharacteristic
255C3×#117C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257#947C2311yescharacteristic
258#947C2311yescharacteristic
259#947C2311yescharacteristic
260#947C2311yescharacteristic
261Q8×Dic3—21no—
262Q8×Dic3—21no—
263Q8×Dic3C2311yescharacteristic
264Q8×Dic3C2311yescharacteristic
265Q8×Dic3C2311yescharacteristic
266Q8×Dic3C2311yescharacteristic
267#944—21no—
268#944—21no—
269#944—21no—
270#944—21no—
271#944—21no—
272#944—21no—
273C2×#216C2311yescharacteristic
274C2×#216C2311yescharacteristic
275C2×#216C2311yescharacteristic
276C2×#216C2311yescharacteristic
277#930C2311yescharacteristic
278#930C2311yescharacteristic
279#926C2311yescharacteristic
280#926C2311yescharacteristic
281#924—21no—
282#924—21no—
283C2×Dic3⋊C4—21no—
284C2×C4×Dic3—21no—
285C2×C4×Dic3C2311yescharacteristic
286C2×#204C2311yescharacteristic
287C2×#204C2311yescharacteristic
288C2×#204C2311yescharacteristic
289C2×#204C2311yescharacteristic
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#897—21no—
299#897—21no—
300#897—21no—
301#897—21no—
302#897—21no—
303#897—21no—
304#896—21no—
305#896—21no—
306#896—21no—
307#896—21no—
308#894—21no—
309#894—21no—
310#894—21no—
311#894—21no—
312#894—21no—
313#894—21no—
314#893C2311yescharacteristic
315#893C2311yescharacteristic
316#893C2311yescharacteristic
317#893C2311yescharacteristic
318#892—21no—
319#892—21no—
320#892—21no—
321#892—21no—
322D3×C4⋊C4—21no—
323D3×C4⋊C4—21no—
324#890—21no—
325#890—21no—
326#890—21no—
327#890D411yescharacteristic
328#890D411yescharacteristic
329#890C2311yescharacteristic
330#890C2311yescharacteristic
331#890C2311yescharacteristic
332#890C2311yescharacteristic
333#890C2311yescharacteristic
334#890C2311yescharacteristic
335#889—21no—
336#889—21no—
337#889—21no—
338#889—21no—
339#889—21no—
340#889—21no—
341#889—21no—
342#889—21no—
343#889—21no—
344#889—21no—
345#889—21no—
346#889—21no—
347#888—21no—
348#888—21no—
349#888—21no—
350#888—21no—
351#888—21no—
352#888—21no—
353#888—21no—
354#888—21no—
355#888—21no—
356#888D411yescharacteristic
357#888D411yescharacteristic
358#888C2311yescharacteristic
359#888C2311yescharacteristic
360#888C2311yescharacteristic
361#888C2311yescharacteristic
362#888C2311yescharacteristic
363#888C2311yescharacteristic
364#887—21no—
365#887—21no—
366#887—21no—
367#887—21no—
368#887—21no—
369#887—21no—
370#887—21no—
371#887—21no—
372#887—21no—
373#887—21no—
374#887C2311yescharacteristic
375#887C2311yescharacteristic
376#887C2311yescharacteristic
377#887C2311yescharacteristic
378#887C2311yescharacteristic
379#887C2311yescharacteristic
380#887C2311yescharacteristic
381#887C2311yescharacteristic
382#886—21no—
383#886—21no—
384#885—21no—
385#885—21no—
386#884—21no—
387#884—21no—
388#883—21no—
389#883—21no—
390#67⋊C4—21no—
391#67⋊C4—21no—
392#878—21no—
393#878—21no—
394#878D411yescharacteristic
395#878D411yescharacteristic
396#878D411yescharacteristic
397#878D411yescharacteristic
398#877—21no—
399#877—21no—
400#877—21no—
401#877—21no—
402#875—21no—
403#875—21no—
404#874C2311yescharacteristic
405C4×D12—21no—
406C4×D12—21no—
407C4×D12C2311yescharacteristic
408C4×D12C2311yescharacteristic
409#870—21no—
410#870—21no—
411#870C2311yescharacteristic
412C4×Dic6—21no—
413C4×Dic6—21no—
414C4×Dic6—21no—
415C4×Dic6—21no—
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×#107C2311yescharacteristic
429C3×#107C2311yescharacteristic
430C3×#106C2311yescharacteristic
431C3×#106C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×C4⋊C8C2311yescharacteristic
435C3×C4⋊C8C2311yescharacteristic
436C3×#103C2311yescharacteristic
437C3×#103C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×C22⋊C8C2311yescharacteristic
445C3×C22⋊C8C2311yescharacteristic
446C3×#97C2311yescharacteristic
447C3×C4×C8C2311yescharacteristic
448#835C2311yescharacteristic
449#835C2311yescharacteristic
450#835C2311yescharacteristic
451#835C2311yescharacteristic
452#830C2311yescharacteristic
453#830C2311yescharacteristic
454#821C2311yescharacteristic
455#821C2311yescharacteristic
456#821C2311yescharacteristic
457#821C2311yescharacteristic
458#818C2311yescharacteristic
459#818C2311yescharacteristic
460#817C2311yescharacteristic
461#817C2311yescharacteristic
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#809C2311yescharacteristic
487#809C2311yescharacteristic
488#809C2311yescharacteristic
489#809C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#807C2311yescharacteristic
501#807C2311yescharacteristic
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—
512#559—31no—
513#559—31no—
514Q82—31no—
515Q82—31no—
516Q82—61no—
517#557—31no—
518#557—31no—
519#557—31no—
520#557—31no—
521#557—31no—
522#557—31no—
523#557—31no—
524#557—31no—
525#557—61no—
526#557—61no—
527#557—61no—
528#556—31no—
529#556—31no—
530#554—31no—
531#554—31no—
532#552—61no—
533#552—61no—
534#544—31no—
535#544—61no—
536#544—61no—
537#544C2×D311yescharacteristic
538#542—31no—
539#542—31no—
540#542—61no—
541#542—61no—
542#541C2×D311yescharacteristic
543#540—31no—
544#539—61no—
545#539—61no—
546#533—31no—
547#533—31no—
548#533—61no—
549#533—61no—
550#529—31no—
551#529—31no—
552#519—31no—
553#519—31no—
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#501—31no—
560#501C2×D311yescharacteristic
561#500—31no—
562#499—31no—
563#499—31no—
564#499—31no—
565#499C2×D311yescharacteristic
566#498—31no—
567#491C2×D311yescharacteristic
568#490—31no—
569#489—31no—
570#489—31no—
571#489—31no—
572#489—31no—
573#488—31no—
574#488—31no—
575#488—31no—
576#488—31no—
577#487C2×D311yescharacteristic
578#486—31no—
579#485—31no—
580#485—31no—
581#485C2×D311yescharacteristic
582#485C2×D311yescharacteristic
583#484C2×D311yescharacteristic
584#483C2×D311yescharacteristic
585#482—31no—
586#482—31no—
587#482—31no—
588#482—31no—
589#481—31no—
590#480—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#478—31no—
606#478—31no—
607#478—31no—
608#478—31no—
609#478—31no—
610#478—31no—
611#477—31no—
612#477—31no—
613#477—31no—
614#477—31no—
615#477C2×D311yescharacteristic
616#476—31no—
617#476—31no—
618#476—31no—
619#475—31no—
620#475—31no—
621#475—31no—
622#475—31no—
623#475C2×D311yescharacteristic
624#474—31no—
625#474—31no—
626#474—31no—
627#464—31no—
628#464—31no—
629#464—31no—
630#464—31no—
631#464—31no—
632#464—31no—
633#464—31no—
634#464—31no—
635#462—31no—
636#462—31no—
637#460—31no—
638#460—31no—
639#451—31no—
640#451—31no—
641#448—31no—
642#448—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#441—31no—
652#441—31no—
653#441—31no—
654#441—31no—
655#441—31no—
656#441—31no—
657#440—31no—
658#440—31no—
659#440—31no—
660#440—31no—
661#440—31no—
662#440—31no—
663C4×Q16—31no—
664C4×Q16—31no—
665C4×Q16—31no—
666C4×Q16—31no—
667C4×Q16—31no—
668C4×Q16—31no—
669C4×SD16—31no—
670C4×SD16—31no—
671C4×SD16—31no—
672C4×SD16—31no—
673C4×SD16—31no—
674C4×SD16—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×Q8C2411yescharacteristic
684C2×C3×Q8C2411yescharacteristic
685C22×C3×C4—21no—
686C22×C3×C4C2411yescharacteristic
687C2×#67—21no—
688C2×#67—21no—
689C22×Dic3—21no—
690C22×Dic3C2×D411yescharacteristic
691C22×Dic3C2×D411yescharacteristic
692C2×D12—21no—
693C2×D12—21no—
694C2×D12C2411yescharacteristic
695C2×D12C2411yescharacteristic
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×Dic6—21no—
703C2×Dic6—22no—
704C2×Dic6—22no—
705C2×Dic6—21no—
706C2×Dic6—21no—
707C2×Dic6—21no—
708C2×Dic6—21no—
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6C2×D411yescharacteristic
712C2×Dic6C2×D411yescharacteristic
713C2×Dic6C2×D411yescharacteristic
714C2×Dic6C2×D411yescharacteristic
715C2×Dic6C2411yescharacteristic
716C2×Dic6C2411yescharacteristic
717C2×C3×C8C2411yescharacteristic
718C2×C3×C8C2411yescharacteristic
719C2×C3×C8C2411yescharacteristic
720C2×C3×C8C2411yescharacteristic
721C3×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
737C3×C4⋊C4C2×D411yescharacteristic
738C3×C4⋊C4C2411yescharacteristic
739C3×C4⋊C4C2411yescharacteristic
740C3×C4⋊C4C2411yescharacteristic
741C3×C4⋊C4C2411yescharacteristic
742C3×C4⋊C4C2411yescharacteristic
743C3×C4⋊C4C2411yescharacteristic
744C3×C22⋊C4—21no—
745C3×C22⋊C4—21no—
746C3×C22⋊C4—21no—
747C3×C22⋊C4C2×D411yescharacteristic
748C3×C22⋊C4C2×D411yescharacteristic
749C3×C42—21no—
750C3×C42—21no—
751C3×C42—21no—
752C3×C42C2411yescharacteristic
753C3×C42C2411yescharacteristic
754#217—21no—
755#217C2×D411yescharacteristic
756#217C2×D411yescharacteristic
757#216—22no—
758#216—22no—
759#216—22no—
760#216—22no—
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—
777C4⋊Dic3—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⋊C4C2×D411yescharacteristic
824Dic3⋊C4C2×D411yescharacteristic
825Dic3⋊C4C2×D411yescharacteristic
826Dic3⋊C4C2×D411yescharacteristic
827Dic3⋊C4C2×D411yescharacteristic
828Dic3⋊C4C2×D411yescharacteristic
829Dic3⋊C4C2×D411yescharacteristic
830Dic3⋊C4C2×D411yescharacteristic
831C4×Dic3—21no—
832C4×Dic3—21no—
833C4×Dic3—21no—
834C4×Dic3—21no—
835C4×Dic3—21no—
836C4×Dic3—21no—
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×Dic3C2×D411yescharacteristic
849C4×Dic3C2×D411yescharacteristic
850C4×Dic3C2411yescharacteristic
851C4×Dic3C2411yescharacteristic
852C4×Dic3C2411yescharacteristic
853C4×Dic3C2411yescharacteristic
854C2×C3⋊C8C2411yescharacteristic
855C2×C3⋊C8C2411yescharacteristic
856C2×C3⋊C8C2411yescharacteristic
857C2×C3⋊C8C2411yescharacteristic
858#204—22no—
859#204—22no—
860#204—22no—
861#204—22no—
862C22×Q8—31no—
863C2×Q16—31no—
864C2×Q16—31no—
865C2×Q16—31no—
866C2×Q16—31no—
867C2×SD16—31no—
868C2×SD16—31no—
869C2×SD16—31no—
870C2×SD16—31no—
871C4⋊Q8—21no—
872C4⋊Q8—31no—
873C4⋊Q8—31no—
874C4⋊Q8—31no—
875C4⋊Q8—31no—
876C4⋊Q8—31no—
877C4⋊Q8—31no—
878C4⋊Q8—31no—
879C4⋊Q8—31no—
880C4⋊Q8—61no—
881C4⋊Q8—61no—
882C4⋊Q8—61no—
883C4⋊Q8—61no—
884C4⋊Q8—61no—
885C4⋊Q8—61no—
886C4⋊Q8—61no—
887C4⋊Q8—61no—
888C4⋊Q8—61no—
889C4⋊Q8—61no—
890C4⋊Q8—61no—
891C4⋊Q8—61no—
892C4⋊Q8—61no—
893C4⋊Q8—61no—
894C4⋊Q8—61no—
895C4⋊Q8C22×D311yescharacteristic
896C4⋊Q8C22×D311yescharacteristic
897C4⋊Q8C22×D311yescharacteristic
898#127—31no—
899#126—21no—
900#126—21no—
901#126—61no—
902#126—61no—
903#126—61no—
904#126—61no—
905#126—61no—
906#126—61no—
907#126—61no—
908#126—61no—
909#125—21no—
910#125—21no—
911#125—21no—
912#125—31no—
913#125—31no—
914#125—31no—
915#125—31no—
916#125—31no—
917#125—31no—
918#125—31no—
919#125—31no—
920#125—31no—
921#125—61no—
922#125—61no—
923#125—61no—
924#125—61no—
925#125—61no—
926#125—61no—
927#125—61no—
928#125—61no—
929#125—61no—
930#125—61no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125—61no—
935#125—61no—
936#125—61no—
937#125—61no—
938#125C22×D311yescharacteristic
939#125C22×D311yescharacteristic
940#125C22×D311yescharacteristic
941#124—31no—
942#124—31no—
943#124—31no—
944#124—31no—
945#124—61no—
946#124—61no—
947#124—61no—
948#124—61no—
949#123—61no—
950#123—61no—
951#123—61no—
952#123—61no—
953#123—61no—
954#123—61no—
955#123—61no—
956#123—61no—
957#123—61no—
958#123—61no—
959C22⋊Q8—21no—
960C22⋊Q8—21no—
961C22⋊Q8—31no—
962C22⋊Q8—31no—
963C22⋊Q8—31no—
964C22⋊Q8—31no—
965C22⋊Q8—61no—
966C22⋊Q8—61no—
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⋊Q8C22×D311yescharacteristic
980C22⋊Q8C22×D311yescharacteristic
981#121—31no—
982#121—31no—
983#121—61no—
984#121—61no—
985C4×Q8—31no—
986C4×Q8—31no—
987C4×Q8—31no—
988C4×Q8—31no—
989C4×Q8—31no—
990C4×Q8—31no—
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—61no—
1006C4×Q8—61no—
1007C4×Q8—61no—
1008C4×Q8—61no—
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×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8C22×D311yescharacteristic
1024C4×Q8C22×D311yescharacteristic
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—31no—
1030C4×D4—31no—
1031C4×D4—61no—
1032C4×D4—61no—
1033C4×D4—61no—
1034C4×D4—61no—
1035#117—31no—
1036#117—31no—
1037#117—61no—
1038#117—61no—
1039#117—61no—
1040#117—61no—
1041#117—61no—
1042#117—61no—
1043#117—61no—
1044#117—61no—
1045#117C22×D311yescharacteristic
1046#117C22×D311yescharacteristic
1047C2×C4⋊C4—61no—
1048C2×C4⋊C4—61no—
1049C2×C4⋊C4—61no—
1050C2×C4⋊C4C22×D311yescharacteristic
1051C2×C42—31no—
1052C2×C42—61no—
1053#107—31no—
1054#107—31no—
1055#107—31no—
1056#107—31no—
1057#107—31no—
1058#107—31no—
1059#107—31no—
1060#107—31no—
1061#107C22×D311yescharacteristic
1062#107C22×D311yescharacteristic
1063#107C22×D311yescharacteristic
1064#107C22×D311yescharacteristic
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#106C22×D311yescharacteristic
1074#106C22×D311yescharacteristic
1075#106C22×D311yescharacteristic
1076#106C22×D311yescharacteristic
1077C4⋊C8—31no—
1078C4⋊C8—31no—
1079C4⋊C8—31no—
1080C4⋊C8—31no—
1081C4⋊C8—31no—
1082C4⋊C8—31no—
1083C4⋊C8—31no—
1084C4⋊C8—31no—
1085C4⋊C8—31no—
1086C4⋊C8—31no—
1087C4⋊C8C22×D311yescharacteristic
1088C4⋊C8C22×D311yescharacteristic
1089#103—31no—
1090#103—31no—
1091#103—31no—
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#103C22×D311yescharacteristic
1102#103C22×D311yescharacteristic
1103#103C22×D311yescharacteristic
1104#103C22×D311yescharacteristic
1105#103C22×D311yescharacteristic
1106#103C22×D311yescharacteristic
1107#103C22×D311yescharacteristic
1108#103C22×D311yescharacteristic
1109#102—31no—
1110#102—31no—
1111#102—31no—
1112#102—31no—
1113#102—31no—
1114#102—31no—
1115#102—31no—
1116#102—31no—
1117#102—31no—
1118#102—31no—
1119#102—31no—
1120#102—31no—
1121C22⋊C8—31no—
1122C22⋊C8—31no—
1123C22⋊C8C22×D311yescharacteristic
1124C22⋊C8C22×D311yescharacteristic
1125#97—31no—
1126#97—31no—
1127#97—31no—
1128#97—31no—
1129#97—31no—
1130#97C22×D311yescharacteristic
1131C4×C8—31no—
1132C4×C8—31no—
1133C4×C8—31no—
1134C4×C8—31no—
1135C4×C8—31no—
1136C4×C8C22×D311yescharacteristic
1137C23×C3C22×D411yescharacteristic
1138C22×D3—21no—
1139C22×D3—21no—
1140C3×Q8—21no—
1141C3×Q8—21no—
1142C3×Q8—21no—
1143C3×Q8—21no—
1144C3×Q8—81no—
1145C3×Q8—81no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—81no—
1157C2×C3×C4C22×D411yescharacteristic
1158C2×C3×C4C22×D411yescharacteristic
1159C2×C3×C4C22×D411yescharacteristic
1160C2×C3×C4C22×D411yescharacteristic
1161C2×C3×C4C22×D411yescharacteristic
1162C2×C3×C4C2511yescharacteristic
1163#67—81no—
1164#67—81no—
1165C2×Dic3—24no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—41no—
1173C2×Dic3—41no—
1174C2×Dic3C22×D411yescharacteristic
1175C2×Dic3C22×D411yescharacteristic
1176C2×Dic3C22×D411yescharacteristic
1177C2×Dic3C22×D411yescharacteristic
1178C2×Dic3C22×D411yescharacteristic
1179C2×Dic3C22×D411yescharacteristic
1180C2×Dic3C22×D411yescharacteristic
1181C2×Dic3C22×D411yescharacteristic
1182D12—21no—
1183D12—21no—
1184D12—21no—
1185D12—21no—
1186D12—81no—
1187D12—81no—
1188C4×D3—81no—
1189C4×D3—81no—
1190C4×D3—81no—
1191C4×D3—81no—
1192C4×D3—81no—
1193C4×D3—81no—
1194Dic6—24no—
1195Dic6—21no—
1196Dic6—21no—
1197Dic6—41no—
1198Dic6—41no—
1199Dic6—41no—
1200Dic6—41no—
1201Dic6—42no—
1202Dic6—81no—
1203Dic6—81no—
1204Dic6—81no—
1205Dic6—81no—
1206Dic6—81no—
1207Dic62−1+412yes—
1208Dic62−1+412yes—
1209C3×C8—21no—
1210C3×C8—21no—
1211C3×C8—21no—
1212C3×C8—21no—
1213C3⋊C8—21no—
1214C3⋊C8—21no—
1215C3⋊C8—21no—
1216C3⋊C8—21no—
1217C2×Q8—21no—
1218C2×Q8—21no—
1219C2×Q8—31no—
1220C2×Q8—31no—
1221C2×Q8—31no—
1222C2×Q8—31no—
1223C2×Q8—31no—
1224C2×Q8—31no—
1225C2×Q8—61no—
1226C2×Q8—61no—
1227C2×Q8—61no—
1228C2×Q8—61no—
1229C2×Q8—61no—
1230C2×Q8—61no—
1231C2×Q8—62no—
1232C2×Q8—62no—
1233C2×Q8—61no—
1234C2×Q8C23×D311yescharacteristic
1235C2×Q8C23×D311yescharacteristic
1236C2×D4—31no—
1237C2×D4—31no—
1238C2×D4—61no—
1239C2×D4—61no—
1240C2×D4—61no—
1241C2×D4—61no—
1242C22×C4—21no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—61no—
1246C22×C4—61no—
1247C22×C4—61no—
1248C22×C4—61no—
1249C22×C4—61no—
1250C22×C4—61no—
1251C22×C4—61no—
1252C22×C4C23×D311yescharacteristic
1253Q16—62no—
1254Q16—62no—
1255Q16—62no—
1256Q16—62no—
1257SD16—62no—
1258SD16—62no—
1259SD16—62no—
1260SD16—62no—
1261C2×C8—31no—
1262C2×C8—31no—
1263C2×C8—31no—
1264C2×C8—31no—
1265C2×C8C23×D311yescharacteristic
1266C2×C8C23×D311yescharacteristic
1267C2×C8C23×D311yescharacteristic
1268C2×C8C23×D311yescharacteristic
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—31no—
1285C4⋊C4—31no—
1286C4⋊C4—31no—
1287C4⋊C4—31no—
1288C4⋊C4—31no—
1289C4⋊C4—31no—
1290C4⋊C4—31no—
1291C4⋊C4—31no—
1292C4⋊C4—31no—
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—61no—
1303C4⋊C4—61no—
1304C4⋊C4—61no—
1305C4⋊C4—61no—
1306C4⋊C4—61no—
1307C4⋊C4—61no—
1308C4⋊C4—61no—
1309C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1339C4⋊C4D3×D411yescharacteristic
1340C4⋊C4C23×D311yescharacteristic
1341C4⋊C4C23×D311yescharacteristic
1342C4⋊C4C23×D311yescharacteristic
1343C4⋊C4C23×D311yescharacteristic
1344C4⋊C4C23×D311yescharacteristic
1345C4⋊C4C23×D311yescharacteristic
1346C22⋊C4—21no—
1347C22⋊C4—21no—
1348C22⋊C4—21no—
1349C22⋊C4—31no—
1350C22⋊C4—31no—
1351C22⋊C4—61no—
1352C22⋊C4—61no—
1353C22⋊C4—61no—
1354C22⋊C4—61no—
1355C22⋊C4—61no—
1356C22⋊C4—61no—
1357C22⋊C4—61no—
1358C22⋊C4—61no—
1359C22⋊C4—61no—
1360C22⋊C4—61no—
1361C22⋊C4—61no—
1362C22⋊C4—61no—
1363C22⋊C4—61no—
1364C22⋊C4—61no—
1365C22⋊C4—61no—
1366C22⋊C4—61no—
1367C22⋊C4—61no—
1368C22⋊C4D3×D411yescharacteristic
1369C22⋊C4D3×D411yescharacteristic
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—31no—
1374C42—31no—
1375C42—31no—
1376C42—31no—
1377C42—31no—
1378C42—31no—
1379C42—61no—
1380C42—61no—
1381C42—61no—
1382C42—61no—
1383C42—61no—
1384C42—61no—
1385C42—61no—
1386C42—61no—
1387C42—61no—
1388C42—61no—
1389C42—61no—
1390C42—61no—
1391C42—61no—
1392C42—61no—
1393C42—61no—
1394C42—61no—
1395C42—61no—
1396C42C23×D311yescharacteristic
1397C42C23×D311yescharacteristic
1398C22×C3—21no—
1399C22×C3—21no—
1400C22×C3—21no—
1401C22×C3C23×D411yescharacteristic
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C3×C4—21no—
1409C3×C4—21no—
1410C3×C4—21no—
1411C3×C4—21no—
1412C3×C4—21no—
1413C3×C4—41no—
1414C3×C4—41no—
1415C3×C4—41no—
1416C3×C4—41no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4C2×2−1+411yescharacteristic
1422C3×C4C2×2−1+411yescharacteristic
1423Dic3—21no—
1424Dic3—21no—
1425Dic3—21no—
1426Dic3—21no—
1427Dic3—21no—
1428Dic3—21no—
1429Dic3—21no—
1430Dic3—21no—
1431Dic3—22no—
1432Dic3—22no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437C23—61no—
1438C23—61no—
1439C23C2×D3×D411yescharacteristic
1440Q8—21no—
1441Q8—21no—
1442Q8—21no—
1443Q8—21no—
1444Q8—32no—
1445Q8—32no—
1446Q8—64no—
1447Q8—61no—
1448Q8—61no—
1449Q8—81no—
1450Q8—81no—
1451Q8—121no—
1452Q8—121no—
1453Q8—121no—
1454Q8—121no—
1455Q8—122no—
1456Q8—241no—
1457Q8—241no—
1458Q8—241no—
1459Q8—241no—
1460Q8—241no—
1461D4—61no—
1462D4—61no—
1463D4—61no—
1464D4—61no—
1465D4—241no—
1466D4—241no—
1467D4—241no—
1468D4—241no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—31no—
1480C2×C4—31no—
1481C2×C4—31no—
1482C2×C4—31no—
1483C2×C4—31no—
1484C2×C4—31no—
1485C2×C4—31no—
1486C2×C4—31no—
1487C2×C4—64no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—81no—
1495C2×C4—121no—
1496C2×C4—121no—
1497C2×C4—241no—
1498C2×C4—241no—
1499C2×C4—241no—
1500C2×C4—241no—
1501C2×C4—241no—
1502C2×C4—241no—
1503C2×C4C2×D3×D411yescharacteristic
1504C2×C4C2×D3×D411yescharacteristic
1505C2×C4C2×D3×D411yescharacteristic
1506C2×C4C2×D3×D411yescharacteristic
1507C2×C4C2×D3×D411yescharacteristic
1508C2×C4C24×D311yescharacteristic
1509C8—21no—
1510C8—21no—
1511C8—21no—
1512C8—21no—
1513C8—61no—
1514C8—61no—
1515C8—61no—
1516C8—61no—
1517C2×C3—41no—
1518C2×C3#348611yescharacteristic
1519C2×C3#358411yescharacteristic
1520C2×C3#358611yescharacteristic
1521D3—81no—
1522D3—81no—
1523C22—21no—
1524C22—21no—
1525C22—21no—
1526C22—121no—
1527C22—121no—
1528C22—121no—
1529C22—121no—
1530C22—121no—
1531C22—121no—
1532C22C22×D3×D411yescharacteristic
1533C4—21no—
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—21no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—62no—
1547C4—62no—
1548C4—61no—
1549C4—61no—
1550C4—61no—
1551C4—61no—
1552C4—61no—
1553C4—61no—
1554C4—61no—
1555C4—61no—
1556C4—121no—
1557C4—121no—
1558C4—121no—
1559C4—121no—
1560C4D3×2−1+411yescharacteristic
1561C4D3×2−1+411yescharacteristic
1562C3#6185611yescharacteristic, complemented, Sylow
1563C2—41no—
1564C2—241no—
1565C2—241no—
1566C2#8635511yescharacteristic
1567C2#8720611yescharacteristic
1568C2#8721111yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3242C2
socleC22×C3C23×D4
prime radical#5535C22
hypercenter#3242D3
hypocenterC3#61856
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
1. #86585C2semidirect
3. C3×#3242C2semidirect
5. #83451C2semidirect
6. #81968C2semidirect
7. #81965C2semidirect
8. #81930C2semidirect
9. #81913C2semidirect
10. #81735C2semidirect
11. #81735C2semidirect
12. #81626C2semidirect
13. #81625C2semidirect
14. #81503C2semidirect
15. #81501C2semidirect
16. #81497C2semidirect
17. #81497C2semidirect
18. #81461C2semidirect
19. #81455C2semidirect
20. #81423C2semidirect
21. #81413C2semidirect
22. #81226C2semidirect
23. #81222C2semidirect
24. #81218C2semidirect
25. #81218C2semidirect
26. #81139C2semidirect
27. #81105C2semidirect
28. #81041C2semidirect
29. #81007C2semidirect
31. #79359C2semidirect
224. #3242D3semidirect
1562. C3#61856semidirect

Maximal subgroups

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

subgroupindex
#865852
#865032
C3×#32422
#834772
#834512
#819682
#819652
#819302
#819132
#817352
#816262
#816252
#815032
#815012
#814972
#814612
#814552
#814232
#814132
#812262
#812222
#812182
#811392
#811052
#810412
#810072
#793952
#793592
#618563