Finite Group Databasebeta

← #11685676

Subgroups — #11685676

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#87046C211yesmaximal, characteristic, complemented
2#86997C211yesmaximal, characteristic
3C3×#3369C211yesmaximal, characteristic, complemented
4#83706C211yesmaximal, characteristic, complemented
5#83678C211yesmaximal, characteristic, complemented
6#81694C211yesmaximal, characteristic, complemented
7#81693C211yesmaximal, characteristic, complemented
8#81675C211yesmaximal, characteristic, complemented
9#81673C211yesmaximal, characteristic, complemented
10#81625C211yesmaximal, characteristic, complemented
11#81611C211yesmaximal, characteristic, complemented
12#81068C211yesmaximal, characteristic
13#81057C211yesmaximal, characteristic, complemented
14#81020C211yesmaximal, characteristic, complemented
15#81016C211yesmaximal, characteristic, complemented
16#81007C211yesmaximal, characteristic, complemented
17#81006C211yesmaximal, characteristic, complemented
18#80584C211yesmaximal, characteristic, complemented
19#80581C211yesmaximal, characteristic, complemented
20#80572C211yesmaximal, characteristic, complemented
21#80569C211yesmaximal, characteristic, complemented
22#80467C211yesmaximal, characteristic, complemented
23#80461C211yesmaximal, characteristic, complemented
24#79978C211yesmaximal, characteristic, complemented
25#79966C211yesmaximal, characteristic, complemented
26#79835C211yesmaximal, characteristic, complemented
27#79834C211yesmaximal, characteristic, complemented
28#79820C211yesmaximal, characteristic, complemented
29#79820C211yesmaximal, characteristic, complemented
30#79661C211yesmaximal, characteristic
31#79633C211yesmaximal, characteristic, complemented
32#61856—31nomaximal, Sylow
33C3×Q82C2211yescharacteristic
34C3×#556C2211yescharacteristic
35#5732C2211yescharacteristic
36#5731C2211yescharacteristic
37#5729—21no—
38#5729—21no—
39#5729C2211yescharacteristic
40#5729C2211yescharacteristic
41#5728—21no—
42#5728C2211yescharacteristic
43#5722—21no—
44#5722C2211yescharacteristic
45#5721—21no—
46#5721—21no—
47#5721C2211yescharacteristic
48#5721C2211yescharacteristic
49#5712—21no—
50#5710—21no—
51#5708—21no—
52#5707—21no—
53#5682C2211yescharacteristic
54#5681C2211yescharacteristic
55#5681C2211yescharacteristic
56#5680C2211yescharacteristic
57#5646—21no—
58#5645—21no—
59#5582C2211yescharacteristic
60#5580C2211yescharacteristic
61#5579C2211yescharacteristic
62#5578—21no—
63#5578C2211yescharacteristic
64#5572C2211yescharacteristic
65#5572C2211yescharacteristic
66C4×D3×Q8C2211yescharacteristic
67#5570C2211yescharacteristic
68#5570C2211yescharacteristic
69#5569C2211yescharacteristic
70#5569C2211yescharacteristic
71#5569C2211yescharacteristic
72#5567—21no—
73#5567C2211yescharacteristic
74#5562C2211yescharacteristic
75#5539C2211yescharacteristic
76#5534—21no—
77#5531—21no—
78C3×#489C2211yescharacteristic
79C3×#489C2211yescharacteristic
80C3×#487C2211yescharacteristic
81C3×#476C2211yescharacteristic
82C3×#475C2211yescharacteristic
83C3×#475C2211yescharacteristic
84C3×#464C2211yescharacteristic
85C3×#464C2211yescharacteristic
86C3×#462C2211yescharacteristic
87C3×#446C2211yescharacteristic
88C3×#441C2211yescharacteristic
89C3×#441C2211yescharacteristic
90C3×C4×SD16C2211yescharacteristic
91#5186C2211yescharacteristic
92#5186C2211yescharacteristic
93#5185C2211yescharacteristic
94#5185C2211yescharacteristic
95#5184C2211yescharacteristic
96#5184C2211yescharacteristic
97Dic3×Q16C2211yescharacteristic
98Dic3×Q16C2211yescharacteristic
99#5170C2211yescharacteristic
100#5163C2211yescharacteristic
101Dic3×SD16C2211yescharacteristic
102Dic3×SD16C2211yescharacteristic
103#5090C2211yescharacteristic
104#5087C2211yescharacteristic
105#5087C2211yescharacteristic
106#5084C2211yescharacteristic
107#5082C2211yescharacteristic
108#5081C2211yescharacteristic
109#5081C2211yescharacteristic
110#5078C2211yescharacteristic
111#5056C2211yescharacteristic
112#5055C2211yescharacteristic
113#5054C2211yescharacteristic
114#5054C2211yescharacteristic
115#5030C2211yescharacteristic
116C4×#216C2211yescharacteristic
117#5026C2211yescharacteristic
118#5026C2211yescharacteristic
119C4×#215C2211yescharacteristic
120#5024C2211yescharacteristic
121#5022C2211yescharacteristic
122#5022C2211yescharacteristic
123#5022C2211yescharacteristic
124#5021C2211yescharacteristic
125#5021C2211yescharacteristic
126#5018C2211yescharacteristic
127#5009C2211yescharacteristic
128#4866C2211yescharacteristic
129#4866C2211yescharacteristic
130#4863C2211yescharacteristic
131#4858C2211yescharacteristic
132#4858C2211yescharacteristic
133#4858C2211yescharacteristic
134#4857C2211yescharacteristic
135#4857C2211yescharacteristic
136#4856C2211yescharacteristic
137#4856C2211yescharacteristic
138#4855C2211yescharacteristic
139#4854C2211yescharacteristic
140#4851C2211yescharacteristic
141#4847C2211yescharacteristic
142#4847C2211yescharacteristic
143#4842C2211yescharacteristic
144#4840C2211yescharacteristic
145#4840C2211yescharacteristic
146#4833C2211yescharacteristic
147#4830C2211yescharacteristic
148#4829C2211yescharacteristic
149#4829C2211yescharacteristic
150#4828C2211yescharacteristic
151#4828C2211yescharacteristic
152#4815C2211yescharacteristic
153#4815C2211yescharacteristic
154#4814C2211yescharacteristic
155#4814C2211yescharacteristic
156#4811C2211yescharacteristic
157#4806C2211yescharacteristic
158#4805C2211yescharacteristic
159#4800C2211yescharacteristic
160#4800C2211yescharacteristic
161#4800C2211yescharacteristic
162#4799C2211yescharacteristic
163#4799C2211yescharacteristic
164#4799C2211yescharacteristic
165#4799C2211yescharacteristic
166#4799C2211yescharacteristic
167#4798C2211yescharacteristic
168#4798C2211yescharacteristic
169#4796C2211yescharacteristic
170#4796C2211yescharacteristic
171#4794C2211yescharacteristic
172#4793C2211yescharacteristic
173#4793C2211yescharacteristic
174#4793C2211yescharacteristic
175#4791C2211yescharacteristic
176#4790C2211yescharacteristic
177#4790C2211yescharacteristic
178#4790C2211yescharacteristic
179#4789C2211yescharacteristic
180#4779C2211yescharacteristic
181#4779C2211yescharacteristic
182#4774C2211yescharacteristic
183#4766C2211yescharacteristic
184#4766C2211yescharacteristic
185#4764C2211yescharacteristic
186#4763C2211yescharacteristic
187#4762C2211yescharacteristic
188#4760C2211yescharacteristic
189#4759C2211yescharacteristic
190#4758C2211yescharacteristic
191#4757C2211yescharacteristic
192#4710C2211yescharacteristic
193#4710C2211yescharacteristic
194#4709C2211yescharacteristic
195#4705C2211yescharacteristic
196#4702C2211yescharacteristic
197#4702C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×#204C2211yescharacteristic
201#4690C2211yescharacteristic
202#4683C2211yescharacteristic
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#3369D311yescharacteristic, complemented
220#3365—31no—
221#3364—31no—
222#3244—31no—
223#3243—31no—
224#3242—31no—
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—
235C2×D3×Q8C2311yescharacteristic
236C2×C3×Q16C2311yescharacteristic
237C2×C3×Q16C2311yescharacteristic
238C2×C3×SD16C2311yescharacteristic
239C3×C4⋊Q8—21no—
240C3×C4⋊Q8—21no—
241C3×C4⋊Q8—21no—
242C3×C4⋊Q8C2311yescharacteristic
243C3×C4⋊Q8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×#126—21no—
247C3×#126—21no—
248C3×#124C2311yescharacteristic
249C3×#124C2311yescharacteristic
250C3×C22⋊Q8—21no—
251C3×C4×Q8—21no—
252C3×C4×Q8C2311yescharacteristic
253C3×C4×Q8C2311yescharacteristic
254C3×C4×Q8C2311yescharacteristic
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×D4C2311yescharacteristic
259C3×#117—21no—
260#947C2311yescharacteristic
261#947C2311yescharacteristic
262#946—21no—
263#946—21no—
264#946—21no—
265#946—21no—
266#946D411yescharacteristic
267#946C2311yescharacteristic
268#946C2311yescharacteristic
269Q8×Dic3—21no—
270Q8×Dic3—21no—
271Q8×Dic3—21no—
272Q8×Dic3C2311yescharacteristic
273Q8×Dic3C2311yescharacteristic
274Q8×Dic3C2311yescharacteristic
275Q8×Dic3C2311yescharacteristic
276Q8×Dic3C2311yescharacteristic
277Q8×Dic3C2311yescharacteristic
278Q8×Dic3C2311yescharacteristic
279#944—21no—
280#944—21no—
281#944—21no—
282#944—21no—
283#944—21no—
284#944—21no—
285#944—21no—
286#944D411yescharacteristic
287C2×#216C2311yescharacteristic
288C2×#216C2311yescharacteristic
289C2×#215C2311yescharacteristic
290#940C2311yescharacteristic
291#938C2311yescharacteristic
292D4×Dic3C2311yescharacteristic
293D4×Dic3C2311yescharacteristic
294C2×#214C2311yescharacteristic
295#930—21no—
296#929—21no—
297#924—21no—
298C2×Dic3⋊C4—21no—
299C2×#204C2311yescharacteristic
300#898—21no—
301#898—21no—
302#898—21no—
303#898—21no—
304#898—21no—
305#897—21no—
306#897—21no—
307#897D411yescharacteristic
308#896—21no—
309#896—21no—
310#896—21no—
311#896—21no—
312#896—21no—
313#896D411yescharacteristic
314#896D411yescharacteristic
315#895C2311yescharacteristic
316#894—21no—
317#894—21no—
318#892—21no—
319#892—21no—
320#892—21no—
321#892C2311yescharacteristic
322#892C2311yescharacteristic
323D3×C4⋊C4—21no—
324D3×C4⋊C4—21no—
325D3×C4⋊C4C2311yescharacteristic
326#890—21no—
327#890—21no—
328#890—21no—
329#890—21no—
330#890—21no—
331#890—21no—
332#890—21no—
333#890C2311yescharacteristic
334#890C2311yescharacteristic
335#890C2311yescharacteristic
336#890C2311yescharacteristic
337#890C2311yescharacteristic
338#890C2311yescharacteristic
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#889—21no—
348#889—21no—
349#889D411yescharacteristic
350#889D411yescharacteristic
351#888—21no—
352#888—21no—
353#888—21no—
354#888—21no—
355#888D411yescharacteristic
356#888C2311yescharacteristic
357#888C2311yescharacteristic
358#888C2311yescharacteristic
359#887—21no—
360#887—21no—
361#887—21no—
362#887—21no—
363#887—21no—
364#887—21no—
365#887C2311yescharacteristic
366#887C2311yescharacteristic
367#887C2311yescharacteristic
368#886—21no—
369#886—21no—
370#886—21no—
371#885—21no—
372#885—21no—
373#885—21no—
374#884—21no—
375#883—21no—
376#883—21no—
377#883—21no—
378#883—21no—
379#67⋊C4—21no—
380#67⋊C4—21no—
381#67⋊C4—21no—
382#879—21no—
383#879—21no—
384#878—21no—
385#878—21no—
386#878—21no—
387#877—21no—
388#876—21no—
389#875—21no—
390C4×D12—21no—
391C4×D12C2311yescharacteristic
392C4×D12C2311yescharacteristic
393C4×D12C2311yescharacteristic
394#872—21no—
395#872—21no—
396#872—21no—
397#872C2311yescharacteristic
398#872C2311yescharacteristic
399C42×D3—21no—
400C42×D3C2311yescharacteristic
401#870—21no—
402#870—21no—
403#870—21no—
404#870C2311yescharacteristic
405#870C2311yescharacteristic
406#870C2311yescharacteristic
407#870C2311yescharacteristic
408#869—21no—
409#869—21no—
410#869C2311yescharacteristic
411#869C2311yescharacteristic
412C4×Dic6—21no—
413C4×Dic6—21no—
414C4×Dic6—21no—
415C4×Dic6—21no—
416C4×Dic6—21no—
417C4×Dic6—21no—
418C4×Dic6—21no—
419C4×Dic6—21no—
420C4×Dic6C2311yescharacteristic
421C4×Dic6C2311yescharacteristic
422C4×Dic6C2311yescharacteristic
423C4×Dic6C2311yescharacteristic
424C4×Dic6C2311yescharacteristic
425C4×Dic6C2311yescharacteristic
426C3×#106C2311yescharacteristic
427C3×#106C2311yescharacteristic
428C3×#106C2311yescharacteristic
429C3×C4⋊C8C2311yescharacteristic
430C3×C4⋊C8C2311yescharacteristic
431C3×C4⋊C8C2311yescharacteristic
432C3×#103C2311yescharacteristic
433C3×#103C2311yescharacteristic
434C3×#103C2311yescharacteristic
435C3×#103C2311yescharacteristic
436C3×#103C2311yescharacteristic
437C3×#103C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#102C2311yescharacteristic
440C3×#102C2311yescharacteristic
441C3×#102C2311yescharacteristic
442C3×#97C2311yescharacteristic
443C3×#97C2311yescharacteristic
444C3×C4×C8C2311yescharacteristic
445#835C2311yescharacteristic
446#835C2311yescharacteristic
447#835C2311yescharacteristic
448#835C2311yescharacteristic
449#835C2311yescharacteristic
450#835C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#832C2311yescharacteristic
455#832C2311yescharacteristic
456#832C2311yescharacteristic
457#821C2311yescharacteristic
458#821C2311yescharacteristic
459#821C2311yescharacteristic
460(C2×D3)⋊C8C2311yescharacteristic
461(C2×D3)⋊C8C2311yescharacteristic
462(C2×D3)⋊C8C2311yescharacteristic
463(C2×D3)⋊C8C2311yescharacteristic
464#818C2311yescharacteristic
465#818C2311yescharacteristic
466#818C2311yescharacteristic
467#818C2311yescharacteristic
468#817C2311yescharacteristic
469#817C2311yescharacteristic
470#817C2311yescharacteristic
471#817C2311yescharacteristic
472#817C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#815C2311yescharacteristic
477#815C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479Dic3⋊C8C2311yescharacteristic
480Dic3⋊C8C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484C8×Dic3C2311yescharacteristic
485C8×Dic3C2311yescharacteristic
486C8×Dic3C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488#810C2311yescharacteristic
489#809C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#808C2311yescharacteristic
493#808C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#807C2311yescharacteristic
497#807C2311yescharacteristic
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#563—61no—
511#563—61no—
512#559—31no—
513#559—31no—
514Q82—31no—
515Q82—61no—
516Q82C2×D311yescharacteristic
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#556C2×D311yescharacteristic
530#554—31no—
531#554—31no—
532#552—61no—
533#552—61no—
534#544—31no—
535#544—31no—
536#544—61no—
537#544—61no—
538#542—31no—
539#542—31no—
540#542—61no—
541#542—61no—
542#541—31no—
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#501—31no—
561#500—31no—
562#499—31no—
563#499—31no—
564#499—31no—
565#499—31no—
566#498—31no—
567#491—31no—
568#490—31no—
569#489—31no—
570#489—31no—
571#489C2×D311yescharacteristic
572#489C2×D311yescharacteristic
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#485—31no—
582#485—31no—
583#484—31no—
584#483—31no—
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#479—31no—
604#479—31no—
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#477—31no—
616#476—31no—
617#476—31no—
618#476C2×D311yescharacteristic
619#475—31no—
620#475—31no—
621#475—31no—
622#475C2×D311yescharacteristic
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#464C2×D311yescharacteristic
634#464C2×D311yescharacteristic
635#462—31no—
636#462C2×D311yescharacteristic
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#446C2×D311yescharacteristic
649C8×Q8—31no—
650C8×Q8—31no—
651#441—31no—
652#441—31no—
653#441—31no—
654#441—31no—
655#441C2×D311yescharacteristic
656#441C2×D311yescharacteristic
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×SD16C2×D311yescharacteristic
675#433—31no—
676#433—31no—
677#433—31no—
678#433—31no—
679#432—31no—
680#431—31no—
681C2×C3×Q8—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2×D411yescharacteristic
685C2×C3×Q8C2411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687C2×C3×Q8C2411yescharacteristic
688C2×C3×D4C2411yescharacteristic
689C22×C3×C4—21no—
690C2×#67—21no—
691C2×#67—21no—
692C2×#67—21no—
693C22×Dic3—21no—
694C22×Dic3—21no—
695D3×Q8—22no—
696D3×Q8—22no—
697C2×D12—21no—
698C2×D12C2411yescharacteristic
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×Dic6—21no—
708C2×Dic6—21no—
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6C2×D411yescharacteristic
714C2×Dic6C2×D411yescharacteristic
715C2×Dic6C2×D411yescharacteristic
716C2×Dic6C2411yescharacteristic
717C3×Q16—22no—
718C3×Q16—22no—
719C3×SD16—22no—
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⋊C4C2×D411yescharacteristic
735C3×C4⋊C4C2×D411yescharacteristic
736C3×C4⋊C4C2×D411yescharacteristic
737C3×C4⋊C4C2411yescharacteristic
738C3×C4⋊C4C2411yescharacteristic
739C3×C4⋊C4C2411yescharacteristic
740C3×C4⋊C4C2411yescharacteristic
741C3×C22⋊C4—21no—
742C3×C22⋊C4—21no—
743C3×C22⋊C4—21no—
744C3×C22⋊C4—21no—
745C3×C22⋊C4—21no—
746C3×C42—21no—
747C3×C42—21no—
748C3×C42—21no—
749C3×C42—21no—
750C3×C42—21no—
751C3×C42C2411yescharacteristic
752C3×C42C2411yescharacteristic
753C3×C42C2411yescharacteristic
754#217—21no—
755#217—21no—
756#217—21no—
757#216—22no—
758#216—22no—
759#215—22no—
760#214—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)⋊C4C2×D411yescharacteristic
774(C2×D3)⋊C4C2×D411yescharacteristic
775(C2×D3)⋊C4C2×D411yescharacteristic
776(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3—21no—
788C4⋊Dic3—21no—
789C4⋊Dic3—21no—
790C4⋊Dic3—21no—
791C4⋊Dic3—21no—
792C4⋊Dic3C2×D411yescharacteristic
793C4⋊Dic3C2×D411yescharacteristic
794C4⋊Dic3C2×D411yescharacteristic
795C4⋊Dic3C2411yescharacteristic
796C4⋊Dic3C2411yescharacteristic
797C4⋊Dic3C2411yescharacteristic
798C4⋊Dic3C2411yescharacteristic
799C4⋊Dic3C2411yescharacteristic
800C4⋊Dic3C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
828Dic3⋊C4C2×D411yescharacteristic
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×Dic3—21no—
852C4×Dic3C2×D411yescharacteristic
853C4×Dic3C2×D411yescharacteristic
854C4×Dic3C2411yescharacteristic
855C4×Dic3C2411yescharacteristic
856C4×Dic3C2411yescharacteristic
857C2×C3⋊C8C2411yescharacteristic
858C2×C3⋊C8C2411yescharacteristic
859C2×C3⋊C8C2411yescharacteristic
860C2×C3⋊C8C2411yescharacteristic
861#204—22no—
862C22×Q8—31no—
863C2×Q16—31no—
864C2×Q16—31no—
865C2×Q16C22×D311yescharacteristic
866C2×Q16C22×D311yescharacteristic
867C2×SD16—31no—
868C2×SD16—31no—
869C2×SD16—31no—
870C2×SD16C22×D311yescharacteristic
871C4⋊Q8—21no—
872C4⋊Q8—21no—
873C4⋊Q8—21no—
874C4⋊Q8—31no—
875C4⋊Q8—31no—
876C4⋊Q8—31no—
877C4⋊Q8—31no—
878C4⋊Q8—31no—
879C4⋊Q8—31no—
880C4⋊Q8—31no—
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⋊Q8C22×D311yescharacteristic
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—31no—
910#125—31no—
911#125—31no—
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#125—61no—
939#125—61no—
940#125—61no—
941#124—31no—
942#124—31no—
943#124—61no—
944#124—61no—
945#124—61no—
946#124—61no—
947#124C22×D311yescharacteristic
948#124C22×D311yescharacteristic
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—31no—
961C22⋊Q8—31no—
962C22⋊Q8—31no—
963C22⋊Q8—31no—
964C22⋊Q8—31no—
965C22⋊Q8—31no—
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⋊Q8—61no—
980C22⋊Q8—61no—
981#121—31no—
982#121—31no—
983#121—61no—
984#121—61no—
985C4×Q8—21no—
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—61no—
1003C4×Q8—61no—
1004C4×Q8—61no—
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×Q8C22×D311yescharacteristic
1020C4×Q8C22×D311yescharacteristic
1021C4×Q8C22×D311yescharacteristic
1022C4×Q8C22×D311yescharacteristic
1023C4×Q8C22×D311yescharacteristic
1024C4×Q8C22×D311yescharacteristic
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—31no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4—61no—
1033C4×D4—61no—
1034C4×D4C22×D311yescharacteristic
1035#117—21no—
1036#117—31no—
1037#117—31no—
1038#117—31no—
1039#117—31no—
1040#117—61no—
1041#117—61no—
1042#117—61no—
1043#117—61no—
1044#117—61no—
1045#117—61no—
1046#117—61no—
1047C2×C4⋊C4—31no—
1048C2×C4⋊C4—61no—
1049C2×C4⋊C4—61no—
1050C2×C4⋊C4—61no—
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#107—31no—
1062#107—31no—
1063#107—31no—
1064#107—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
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⋊C8C22×D311yescharacteristic
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#103—31no—
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#102C22×D311yescharacteristic
1119#102C22×D311yescharacteristic
1120#102C22×D311yescharacteristic
1121C22⋊C8—31no—
1122C22⋊C8—31no—
1123C22⋊C8—31no—
1124C22⋊C8—31no—
1125#97—31no—
1126#97—31no—
1127#97—31no—
1128#97—31no—
1129#97C22×D311yescharacteristic
1130#97C22×D311yescharacteristic
1131C4×C8—31no—
1132C4×C8—31no—
1133C4×C8—31no—
1134C4×C8—31no—
1135C4×C8—31no—
1136C4×C8C22×D311yescharacteristic
1137C23×C3—21no—
1138C22×D3—21no—
1139C22×D3C22×D411yescharacteristic
1140C3×Q8—21no—
1141C3×Q8—21no—
1142C3×Q8—21no—
1143C3×Q8—21no—
1144C3×Q8—21no—
1145C3×Q8—41no—
1146C3×Q8—81no—
1147C3×Q8—81no—
1148C3×Q8—81no—
1149C3×Q82−1+412yes—
1150C3×D4—21no—
1151C3×D4—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—81no—
1160C2×C3×C4C22×D411yescharacteristic
1161C2×C3×C4C22×D411yescharacteristic
1162C2×C3×C4C22×D411yescharacteristic
1163C2×C3×C4C22×D411yescharacteristic
1164C2×C3×C4C22×D411yescharacteristic
1165C2×C3×C4C22×D411yescharacteristic
1166C2×C3×C4C2511yescharacteristic
1167#67—81no—
1168#67—81no—
1169#67—81no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—81no—
1178C2×Dic3—81no—
1179C2×Dic3C22×D411yescharacteristic
1180C2×Dic3C22×D411yescharacteristic
1181C2×Dic3C22×D411yescharacteristic
1182C2×Dic3C22×D411yescharacteristic
1183C2×Dic3C22×D411yescharacteristic
1184C2×Dic3C22×D411yescharacteristic
1185C2×Dic3C22×D411yescharacteristic
1186D12—21no—
1187D12—21no—
1188D12—81no—
1189C4×D3—24no—
1190C4×D3—21no—
1191C4×D3—21no—
1192C4×D3—41no—
1193C4×D3—41no—
1194C4×D3—81no—
1195C4×D3—81no—
1196C4×D3—81no—
1197C4×D3—81no—
1198Dic6—24no—
1199Dic6—21no—
1200Dic6—41no—
1201Dic6—41no—
1202Dic6—41no—
1203Dic6—42no—
1204Dic6—81no—
1205Dic6—81no—
1206Dic6—81no—
1207Dic6—81no—
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—21no—
1220C2×Q8—31no—
1221C2×Q8—31no—
1222C2×Q8—31no—
1223C2×Q8—31no—
1224C2×Q8—61no—
1225C2×Q8—61no—
1226C2×Q8—61no—
1227C2×Q8—61no—
1228C2×Q8—62no—
1229C2×Q8—62no—
1230C2×Q8—61no—
1231C2×Q8—61no—
1232C2×Q8D3×D411yescharacteristic
1233C2×Q8C23×D311yescharacteristic
1234C2×Q8C23×D311yescharacteristic
1235C2×Q8C23×D311yescharacteristic
1236C2×D4—31no—
1237C2×D4—61no—
1238C2×D4—61no—
1239C2×D4—61no—
1240C2×D4—61no—
1241C2×D4C23×D311yescharacteristic
1242C22×C4—21no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—61no—
1247C22×C4—61no—
1248C22×C4—61no—
1249C22×C4—61no—
1250C22×C4—61no—
1251C22×C4—61no—
1252C22×C4—61no—
1253Q16—22no—
1254Q16—22no—
1255Q16—62no—
1256Q16—62no—
1257SD16—22no—
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—31no—
1280C4⋊C4—31no—
1281C4⋊C4—31no—
1282C4⋊C4—31no—
1283C4⋊C4—31no—
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—61no—
1299C4⋊C4—61no—
1300C4⋊C4—61no—
1301C4⋊C4—61no—
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⋊C4—61no—
1339C4⋊C4D3×D411yescharacteristic
1340C4⋊C4D3×D411yescharacteristic
1341C4⋊C4D3×D411yescharacteristic
1342C4⋊C4C23×D311yescharacteristic
1343C4⋊C4C23×D311yescharacteristic
1344C4⋊C4C23×D311yescharacteristic
1345C4⋊C4C23×D311yescharacteristic
1346C22⋊C4—21no—
1347C22⋊C4—21no—
1348C22⋊C4—21no—
1349C22⋊C4—21no—
1350C22⋊C4—21no—
1351C22⋊C4—31no—
1352C22⋊C4—31no—
1353C22⋊C4—31no—
1354C22⋊C4—31no—
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⋊C4—61no—
1369C22⋊C4—61no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—31no—
1376C42—31no—
1377C42—31no—
1378C42—31no—
1379C42—31no—
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—
1395C42C23×D311yescharacteristic
1396C42C23×D311yescharacteristic
1397C42C23×D311yescharacteristic
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3C23×D411yescharacteristic
1402C2×D3—21no—
1403C2×D3—21no—
1404C2×D3—21no—
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—21no—
1414C3×C4—22no—
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—22no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437C23—21no—
1438C23—31no—
1439C23—61no—
1440Q8—21no—
1441Q8—21no—
1442Q8—21no—
1443Q8—21no—
1444Q8—21no—
1445Q8—32no—
1446Q8—41no—
1447Q8—64no—
1448Q8—61no—
1449Q8—81no—
1450Q8—81no—
1451Q8—81no—
1452Q8—121no—
1453Q8—121no—
1454Q8—121no—
1455Q8—122no—
1456Q8—241no—
1457Q8—241no—
1458Q8—241no—
1459Q8—241no—
1460Q8#101012yes—
1461D4—21no—
1462D4—21no—
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—31no—
1477C2×C4—31no—
1478C2×C4—31no—
1479C2×C4—31no—
1480C2×C4—31no—
1481C2×C4—31no—
1482C2×C4—31no—
1483C2×C4—64no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—81no—
1494C2×C4—121no—
1495C2×C4—121no—
1496C2×C4—241no—
1497C2×C4—241no—
1498C2×C4—241no—
1499C2×C4—241no—
1500C2×C4—241no—
1501C2×C4—241no—
1502C2×C4C2×D3×D411yescharacteristic
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—81no—
1518C2×C3#348611yescharacteristic
1519C2×C3#358411yescharacteristic
1520C2×C3#358611yescharacteristic
1521D3—41no—
1522D3—81no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—61no—
1527C22—61no—
1528C22—61no—
1529C22—121no—
1530C22—121no—
1531C22—121no—
1532C22C22×D3×D411yescharacteristic
1533C4—21no—
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—21no—
1538C4—21no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—61no—
1547C4—61no—
1548C4—61no—
1549C4—61no—
1550C4—61no—
1551C4—61no—
1552C4—61no—
1553C4—62no—
1554C4—121no—
1555C4—121no—
1556C4—121no—
1557C4—121no—
1558C4—121no—
1559C4—121no—
1560C4C2×#101011yescharacteristic
1561C4D3×2−1+411yescharacteristic
1562C3#6185611yescharacteristic, complemented, Sylow
1563C2—81no—
1564C2—121no—
1565C2—241no—
1566C2#8673511yescharacteristic
1567C2#8719711yescharacteristic
1568C2#8720611yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3369C2
socleC22×C3C23×D4
prime radical#5562C22
hypercenter#3369D3
hypocenterC3#61856
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3369

Complements

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

NH ≅ G/Ntype
1. #87046C2semidirect
3. C3×#3369C2semidirect
4. #83706C2semidirect
5. #83678C2semidirect
6. #81694C2semidirect
7. #81693C2semidirect
8. #81675C2semidirect
9. #81673C2semidirect
10. #81625C2semidirect
11. #81611C2semidirect
13. #81057C2semidirect
14. #81020C2semidirect
15. #81016C2semidirect
16. #81007C2semidirect
17. #81006C2semidirect
18. #80584C2semidirect
19. #80581C2semidirect
20. #80572C2semidirect
21. #80569C2semidirect
22. #80467C2semidirect
23. #80461C2semidirect
24. #79978C2semidirect
25. #79966C2semidirect
26. #79835C2semidirect
27. #79834C2semidirect
28. #79820C2semidirect
29. #79820C2semidirect
31. #79633C2semidirect
219. #3369D3semidirect
1562. C3#61856semidirect

Maximal subgroups

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

subgroupindex
#870462
#869972
C3×#33692
#837062
#836782
#816942
#816932
#816752
#816732
#816252
#816112
#810682
#810572
#810202
#810162
#810072
#810062
#805842
#805812
#805722
#805692
#804672
#804612
#799782
#799662
#798352
#798342
#798202
#796612
#796332
#618563