Finite Group Databasebeta

← #11685674

Subgroups — #11685674

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#87032C211yesmaximal, characteristic, complemented
2#86942C211yesmaximal, characteristic
3C3×#3381C211yesmaximal, characteristic, complemented
4#83700C211yesmaximal, characteristic, complemented
5#83632C211yesmaximal, characteristic, complemented
6#81930C211yesmaximal, characteristic, complemented
7#81923C211yesmaximal, characteristic, complemented
8#81921C211yesmaximal, characteristic, complemented
9#81914C211yesmaximal, characteristic, complemented
10#81906C211yesmaximal, characteristic, complemented
11#81898C211yesmaximal, characteristic, complemented
12#81226C211yesmaximal, characteristic, complemented
13#81223C211yesmaximal, characteristic, complemented
14#81211C211yesmaximal, characteristic, complemented
15#81207C211yesmaximal, characteristic, complemented
16#81203C211yesmaximal, characteristic, complemented
17#81176C211yesmaximal, characteristic
18#81175C211yesmaximal, characteristic, complemented
19#81155C211yesmaximal, characteristic, complemented
20#81105C211yesmaximal, characteristic, complemented
21#81096C211yesmaximal, characteristic, complemented
22#80974C211yesmaximal, characteristic, complemented
23#80956C211yesmaximal, characteristic, complemented
24#79934C211yesmaximal, characteristic, complemented
25#79922C211yesmaximal, characteristic, complemented
26#79661C211yesmaximal, characteristic
27#79658C211yesmaximal, characteristic, complemented
28#79656C211yesmaximal, characteristic, complemented
29#79627C211yesmaximal, characteristic, complemented
30#79626C211yesmaximal, characteristic, complemented
31#79624C211yesmaximal, characteristic, complemented
32#61856—31nomaximal, Sylow
33C3×#557C2211yescharacteristic
34C3×#554C2211yescharacteristic
35#5733C2211yescharacteristic
36#5729—21no—
37#5729C2211yescharacteristic
38#5722—21no—
39#5722C2211yescharacteristic
40#5721C2211yescharacteristic
41#5698C2211yescharacteristic
42#5691C2211yescharacteristic
43#5690C2211yescharacteristic
44#5689—21no—
45#5689C2211yescharacteristic
46#5688—21no—
47#5688C2211yescharacteristic
48#5685—21no—
49#5685—21no—
50#5685C2211yescharacteristic
51#5685C2211yescharacteristic
52#5685C2211yescharacteristic
53#5646—21no—
54#5646—21no—
55#5643—21no—
56#5640—21no—
57#5639—21no—
58#5638—21no—
59#5584C2211yescharacteristic
60#5578—21no—
61#5578C2211yescharacteristic
62#5572C2211yescharacteristic
63#5572C2211yescharacteristic
64C4×D3×Q8C2211yescharacteristic
65#5569C2211yescharacteristic
66#5569C2211yescharacteristic
67#5567—21no—
68#5567C2211yescharacteristic
69Q8×Dic6C2211yescharacteristic
70#5562C2211yescharacteristic
71#5561C2211yescharacteristic
72#5559C2211yescharacteristic
73#5559C2211yescharacteristic
74#5557C2211yescharacteristic
75#5542C2211yescharacteristic
76#5515—21no—
77#5513—21no—
78C3×#499C2211yescharacteristic
79C3×#499C2211yescharacteristic
80C3×#498C2211yescharacteristic
81C3×#479C2211yescharacteristic
82C3×#479C2211yescharacteristic
83C3×#478C2211yescharacteristic
84C3×#478C2211yescharacteristic
85C3×#477C2211yescharacteristic
86C3×#474C2211yescharacteristic
87C3×C8×Q8C2211yescharacteristic
88C3×C4×SD16C2211yescharacteristic
89C3×C4×SD16C2211yescharacteristic
90C3×C4×SD16C2211yescharacteristic
91#5170C2211yescharacteristic
92#5166C2211yescharacteristic
93#5166C2211yescharacteristic
94#5163C2211yescharacteristic
95#5094C2211yescharacteristic
96#5091C2211yescharacteristic
97#5089C2211yescharacteristic
98#5081C2211yescharacteristic
99#5069C2211yescharacteristic
100#5068C2211yescharacteristic
101#5066C2211yescharacteristic
102#5065C2211yescharacteristic
103#5064C2211yescharacteristic
104#5063C2211yescharacteristic
105#5063C2211yescharacteristic
106#5063C2211yescharacteristic
107#5031C2211yescharacteristic
108#5030C2211yescharacteristic
109C4×#216C2211yescharacteristic
110#5028C2211yescharacteristic
111#5028C2211yescharacteristic
112#5026C2211yescharacteristic
113#5024C2211yescharacteristic
114#5018C2211yescharacteristic
115#5018C2211yescharacteristic
116C4×#214C2211yescharacteristic
117#5009C2211yescharacteristic
118#5009C2211yescharacteristic
119#5008C2211yescharacteristic
120#4890C2211yescharacteristic
121#4889C2211yescharacteristic
122#4889C2211yescharacteristic
123#4888C2211yescharacteristic
124#4888C2211yescharacteristic
125#4885C2211yescharacteristic
126#4884C2211yescharacteristic
127#4878C2211yescharacteristic
128#4877C2211yescharacteristic
129#4876C2211yescharacteristic
130#4876C2211yescharacteristic
131#4875C2211yescharacteristic
132#4875C2211yescharacteristic
133#4874C2211yescharacteristic
134#4873C2211yescharacteristic
135#4873C2211yescharacteristic
136#4871C2211yescharacteristic
137#4870C2211yescharacteristic
138#4870C2211yescharacteristic
139#4868C2211yescharacteristic
140#4868C2211yescharacteristic
141#4866C2211yescharacteristic
142#4863C2211yescharacteristic
143#4862C2211yescharacteristic
144#4857C2211yescharacteristic
145#4857C2211yescharacteristic
146#4857C2211yescharacteristic
147#4857C2211yescharacteristic
148#4856C2211yescharacteristic
149#4856C2211yescharacteristic
150#4854C2211yescharacteristic
151#4854C2211yescharacteristic
152#4854C2211yescharacteristic
153#4854C2211yescharacteristic
154#4853C2211yescharacteristic
155#4853C2211yescharacteristic
156#4849C2211yescharacteristic
157#4846C2211yescharacteristic
158#4845C2211yescharacteristic
159#4845C2211yescharacteristic
160#4840C2211yescharacteristic
161#4840C2211yescharacteristic
162#4835C2211yescharacteristic
163#4831C2211yescharacteristic
164#4829C2211yescharacteristic
165#4829C2211yescharacteristic
166#4828C2211yescharacteristic
167#4828C2211yescharacteristic
168#4817C2211yescharacteristic
169#4809C2211yescharacteristic
170#4809C2211yescharacteristic
171#4806C2211yescharacteristic
172#4799C2211yescharacteristic
173#4796C2211yescharacteristic
174#4793C2211yescharacteristic
175#4790C2211yescharacteristic
176#4789C2211yescharacteristic
177#4789C2211yescharacteristic
178#4789C2211yescharacteristic
179#4788C2211yescharacteristic
180#4784C2211yescharacteristic
181#4779C2211yescharacteristic
182#4774C2211yescharacteristic
183#4768C2211yescharacteristic
184#4767C2211yescharacteristic
185#4767C2211yescharacteristic
186#4765C2211yescharacteristic
187#4765C2211yescharacteristic
188#4765C2211yescharacteristic
189#4764C2211yescharacteristic
190#4762C2211yescharacteristic
191#4760C2211yescharacteristic
192C4×Dic12C2211yescharacteristic
193C4×Dic12C2211yescharacteristic
194#4697C2211yescharacteristic
195#4697C2211yescharacteristic
196C4×#204C2211yescharacteristic
197#4690C2211yescharacteristic
198#4690C2211yescharacteristic
199#4685C2211yescharacteristic
200#4681C2211yescharacteristic
201#4679C2211yescharacteristic
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#3381D311yescharacteristic, complemented
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#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×SD16C2311yescharacteristic
237C3×C4⋊Q8—21no—
238C3×C4⋊Q8C2311yescharacteristic
239C3×C4⋊Q8C2311yescharacteristic
240C3×#125—21no—
241C3×#125—21no—
242C3×#125C2311yescharacteristic
243C3×#125C2311yescharacteristic
244C3×#125C2311yescharacteristic
245C3×#125C2311yescharacteristic
246C3×C22⋊Q8—21no—
247C3×C22⋊Q8—21no—
248C3×C22⋊Q8—21no—
249C3×C4×Q8—21no—
250C3×C4×Q8C2311yescharacteristic
251C3×C4×Q8C2311yescharacteristic
252C3×C4×Q8C2311yescharacteristic
253C3×C4×Q8C2311yescharacteristic
254C3×C4×D4C2311yescharacteristic
255C3×C4×D4C2311yescharacteristic
256C3×C4×D4C2311yescharacteristic
257C2×C3×C4⋊C4—21no—
258#947—21no—
259#946—21no—
260#946—21no—
261#946—21no—
262#946D411yescharacteristic
263Q8×Dic3—21no—
264Q8×Dic3C2311yescharacteristic
265Q8×Dic3C2311yescharacteristic
266Q8×Dic3C2311yescharacteristic
267#944—21no—
268#944—21no—
269#944—21no—
270#944—21no—
271#944—21no—
272#944D411yescharacteristic
273C2×#216C2311yescharacteristic
274C2×#216C2311yescharacteristic
275C2×#215C2311yescharacteristic
276#940C2311yescharacteristic
277#938C2311yescharacteristic
278#936C2311yescharacteristic
279#936C2311yescharacteristic
280C2×#214C2311yescharacteristic
281#930—21no—
282#929—21no—
283#929—21no—
284#929—21no—
285#929—21no—
286C4×#67—21no—
287C4×#67—21no—
288C4×#67—21no—
289#926—21no—
290#926—21no—
291#924—21no—
292#924—21no—
293C2×Dic12C2311yescharacteristic
294C2×Dic12C2311yescharacteristic
295C2×#204C2311yescharacteristic
296#898—21no—
297#898—21no—
298#898—21no—
299#898—21no—
300#898—21no—
301#898—21no—
302#897—21no—
303#897—21no—
304#897D411yescharacteristic
305#897C2311yescharacteristic
306#897C2311yescharacteristic
307#896—21no—
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#893—21no—
319#893C2311yescharacteristic
320#893C2311yescharacteristic
321#892—21no—
322#892—21no—
323#892—21no—
324#892—21no—
325#892C2311yescharacteristic
326#892C2311yescharacteristic
327D3×C4⋊C4—21no—
328D3×C4⋊C4—21no—
329D3×C4⋊C4C2311yescharacteristic
330#890—21no—
331#890—21no—
332#890—21no—
333#890—21no—
334#890C2311yescharacteristic
335#890C2311yescharacteristic
336#890C2311yescharacteristic
337#890C2311yescharacteristic
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#889—21no—
348#889—21no—
349#889—21no—
350#889D411yescharacteristic
351#889D411yescharacteristic
352#888—21no—
353#888—21no—
354#888—21no—
355#888—21no—
356#888—21no—
357#888—21no—
358#888—21no—
359#888—21no—
360#888—21no—
361#888D411yescharacteristic
362#888C2311yescharacteristic
363#888C2311yescharacteristic
364#888C2311yescharacteristic
365#888C2311yescharacteristic
366#888C2311yescharacteristic
367#887—21no—
368#887—21no—
369#887—21no—
370#887—21no—
371#887—21no—
372#887—21no—
373#887—21no—
374#887—21no—
375#887—21no—
376#887—21no—
377#887C2311yescharacteristic
378#887C2311yescharacteristic
379#887C2311yescharacteristic
380#887C2311yescharacteristic
381#887C2311yescharacteristic
382#887C2311yescharacteristic
383#887C2311yescharacteristic
384#885—21no—
385#885—21no—
386#885—21no—
387#884—21no—
388#883—21no—
389#883—21no—
390#883—21no—
391#883—21no—
392#879—21no—
393#879—21no—
394#879—21no—
395#879—21no—
396#875C2311yescharacteristic
397#875C2311yescharacteristic
398C4×D12C2311yescharacteristic
399#872—21no—
400#872—21no—
401#872C2311yescharacteristic
402#872C2311yescharacteristic
403C42×D3—21no—
404C42×D3C2311yescharacteristic
405#870—21no—
406#870—21no—
407#870C2311yescharacteristic
408#870C2311yescharacteristic
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×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×#106C2311yescharacteristic
435C3×C4⋊C8C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#102C2311yescharacteristic
442C3×#102C2311yescharacteristic
443C3×#102C2311yescharacteristic
444C3×C4×C8C2311yescharacteristic
445C3×C4×C8C2311yescharacteristic
446C3×C4×C8C2311yescharacteristic
447#835C2311yescharacteristic
448#832C2311yescharacteristic
449#832C2311yescharacteristic
450#832C2311yescharacteristic
451#821C2311yescharacteristic
452#821C2311yescharacteristic
453#821C2311yescharacteristic
454(C2×D3)⋊C8C2311yescharacteristic
455(C2×D3)⋊C8C2311yescharacteristic
456(C2×D3)⋊C8C2311yescharacteristic
457(C2×D3)⋊C8C2311yescharacteristic
458#818C2311yescharacteristic
459#818C2311yescharacteristic
460#817C2311yescharacteristic
461#816C2311yescharacteristic
462#816C2311yescharacteristic
463#816C2311yescharacteristic
464#816C2311yescharacteristic
465#816C2311yescharacteristic
466#816C2311yescharacteristic
467#816C2311yescharacteristic
468#815C2311yescharacteristic
469#815C2311yescharacteristic
470#815C2311yescharacteristic
471#815C2311yescharacteristic
472Dic3⋊C8C2311yescharacteristic
473Dic3⋊C8C2311yescharacteristic
474Dic3⋊C8C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478C8×Dic3C2311yescharacteristic
479C8×Dic3C2311yescharacteristic
480#810C2311yescharacteristic
481#810C2311yescharacteristic
482#810C2311yescharacteristic
483#810C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#810C2311yescharacteristic
487#810C2311yescharacteristic
488#810C2311yescharacteristic
489#809C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#808C2311yescharacteristic
493#808C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#807C2311yescharacteristic
499#807C2311yescharacteristic
500#807C2311yescharacteristic
501#807C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504C4⋊(C3⋊C8)C2311yescharacteristic
505C4⋊(C3⋊C8)C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507#803C2311yescharacteristic
508#803C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#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—61no—
525#557—61no—
526#557—61no—
527#557C2×D311yescharacteristic
528#556—31no—
529#556—31no—
530#554—31no—
531#554C2×D311yescharacteristic
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#499C2×D311yescharacteristic
565#499C2×D311yescharacteristic
566#498C2×D311yescharacteristic
567#491—31no—
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#487—31no—
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#479C2×D311yescharacteristic
604#479C2×D311yescharacteristic
605#478—31no—
606#478—31no—
607#478—31no—
608#478—31no—
609#478C2×D311yescharacteristic
610#478C2×D311yescharacteristic
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#475—31no—
624#474—31no—
625#474—31no—
626#474C2×D311yescharacteristic
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×Q8C2×D311yescharacteristic
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×SD16C2×D311yescharacteristic
673C4×SD16C2×D311yescharacteristic
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×Q8C2×D411yescharacteristic
684C2×C3×Q8C2411yescharacteristic
685C2×C3×D4C2411yescharacteristic
686C22×C3×C4—21no—
687C22×C3×C4—21no—
688C22×C3×C4—21no—
689C2×#67—21no—
690C2×#67—21no—
691C2×#67—21no—
692D3×Q8—22no—
693D3×Q8—22no—
694C2×D12—21no—
695C2×D12C2411yescharacteristic
696C2×C4×D3—21no—
697C2×C4×D3—21no—
698C2×C4×D3—21no—
699C2×C4×D3—21no—
700C2×C4×D3—21no—
701C2×C4×D3C2×D411yescharacteristic
702C2×C4×D3C2×D411yescharacteristic
703C2×C4×D3C2411yescharacteristic
704C2×Dic6—21no—
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×Dic6C2411yescharacteristic
715C2×Dic6C2411yescharacteristic
716C2×Dic6C2411yescharacteristic
717C3×SD16—22no—
718C2×C3×C8C2411yescharacteristic
719C2×C3×C8C2411yescharacteristic
720C2×C3×C8C2411yescharacteristic
721C2×C3×C8C2411yescharacteristic
722C3×C4⋊C4—21no—
723C3×C4⋊C4—21no—
724C3×C4⋊C4—21no—
725C3×C4⋊C4—21no—
726C3×C4⋊C4—21no—
727C3×C4⋊C4—21no—
728C3×C4⋊C4—21no—
729C3×C4⋊C4—21no—
730C3×C4⋊C4—21no—
731C3×C4⋊C4—21no—
732C3×C4⋊C4—21no—
733C3×C4⋊C4—21no—
734C3×C4⋊C4—21no—
735C3×C4⋊C4C2×D411yescharacteristic
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×C42—21no—
748C3×C42—21no—
749C3×C42—21no—
750C3×C42C2411yescharacteristic
751C3×C42C2411yescharacteristic
752C3×C42C2411yescharacteristic
753#217—21no—
754#217—21no—
755#217—21no—
756#217—21no—
757#217—21no—
758#216—22no—
759#216—22no—
760#215—22no—
761#214—22no—
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)⋊C4C2×D411yescharacteristic
775(C2×D3)⋊C4C2×D411yescharacteristic
776(C2×D3)⋊C4C2×D411yescharacteristic
777(C2×D3)⋊C4C2×D411yescharacteristic
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⋊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
831Dic3⋊C4C2×D411yescharacteristic
832Dic3⋊C4C2×D411yescharacteristic
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×Dic3—21no—
849C4×Dic3—21no—
850C4×Dic3C2×D411yescharacteristic
851C4×Dic3C2×D411yescharacteristic
852C4×Dic3C2411yescharacteristic
853C4×Dic3C2411yescharacteristic
854C4×Dic3C2411yescharacteristic
855C2×C3⋊C8C2411yescharacteristic
856C2×C3⋊C8C2411yescharacteristic
857C2×C3⋊C8C2411yescharacteristic
858C2×C3⋊C8C2411yescharacteristic
859Dic12—22no—
860Dic12—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×SD16C22×D311yescharacteristic
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—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⋊Q8—61no—
895C4⋊Q8—61no—
896C4⋊Q8C22×D311yescharacteristic
897C4⋊Q8C22×D311yescharacteristic
898#127—31no—
899#126—61no—
900#126—61no—
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—31no—
912#125—31no—
913#125—31no—
914#125—31no—
915#125—31no—
916#125—31no—
917#125—31no—
918#125—31no—
919#125—61no—
920#125—61no—
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#125C22×D311yescharacteristic
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—21no—
962C22⋊Q8—31no—
963C22⋊Q8—31no—
964C22⋊Q8—31no—
965C22⋊Q8—31no—
966C22⋊Q8—31no—
967C22⋊Q8—31no—
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—31no—
1003C4×Q8—31no—
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×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8C22×D311yescharacteristic
1022C4×Q8C22×D311yescharacteristic
1023C4×Q8C22×D311yescharacteristic
1024C4×Q8C22×D311yescharacteristic
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—61no—
1029C4×D4—61no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4C22×D311yescharacteristic
1033C4×D4C22×D311yescharacteristic
1034C4×D4C22×D311yescharacteristic
1035#117—31no—
1036#117—31no—
1037#117—31no—
1038#117—31no—
1039#117—61no—
1040#117—61no—
1041#117—61no—
1042#117—61no—
1043#117—61no—
1044#117—61no—
1045#117—61no—
1046#117—61no—
1047C2×C4⋊C4—21no—
1048C2×C4⋊C4—31no—
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#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#106C22×D311yescharacteristic
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⋊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#103—31no—
1103#103—31no—
1104#103—31no—
1105#103—31no—
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#97—31no—
1130#97—31no—
1131C4×C8—31no—
1132C4×C8—31no—
1133C4×C8—31no—
1134C4×C8C22×D311yescharacteristic
1135C4×C8C22×D311yescharacteristic
1136C4×C8C22×D311yescharacteristic
1137C23×C3—21no—
1138C22×D3—21no—
1139C22×D3C22×D411yescharacteristic
1140C3×Q8—21no—
1141C3×Q8—41no—
1142C3×Q8—81no—
1143C3×Q8—81no—
1144C3×Q82−1+412yes—
1145C3×D4—21no—
1146C3×D4—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—81no—
1155C2×C3×C4—81no—
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×C4C22×D411yescharacteristic
1163C2×C3×C4C2511yescharacteristic
1164#67—81no—
1165#67—81no—
1166#67—81no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3C22×D411yescharacteristic
1175C2×Dic3C22×D411yescharacteristic
1176C2×Dic3C22×D411yescharacteristic
1177C2×Dic3C22×D411yescharacteristic
1178C2×Dic3C22×D411yescharacteristic
1179C2×Dic3C22×D411yescharacteristic
1180C2×Dic3C22×D411yescharacteristic
1181D12—21no—
1182D12—21no—
1183D12—81no—
1184C4×D3—24no—
1185C4×D3—21no—
1186C4×D3—21no—
1187C4×D3—41no—
1188C4×D3—41no—
1189C4×D3—81no—
1190C4×D3—81no—
1191C4×D3—81no—
1192C4×D3—81no—
1193Dic6—24no—
1194Dic6—21no—
1195Dic6—21no—
1196Dic6—21no—
1197Dic6—21no—
1198Dic6—21no—
1199Dic6—41no—
1200Dic6—41no—
1201Dic6—41no—
1202Dic6—42no—
1203Dic6—81no—
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—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×Q8D3×D411yescharacteristic
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—21no—
1244C22×C4—21no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—61no—
1249C22×C4—61no—
1250C22×C4—61no—
1251C22×C4—61no—
1252C22×C4—61no—
1253Q16—62no—
1254Q16—62no—
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—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
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—31no—
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⋊C4D3×D411yescharacteristic
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—31no—
1352C22⋊C4—31no—
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⋊C4—61no—
1369C22⋊C4—61no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—31no—
1374C42—31no—
1375C42—31no—
1376C42—31no—
1377C42—31no—
1378C42—61no—
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—
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—32no—
1442Q8—41no—
1443Q8—64no—
1444Q8—61no—
1445Q8—61no—
1446Q8—61no—
1447Q8—61no—
1448Q8—61no—
1449Q8—81no—
1450Q8—81no—
1451Q8—121no—
1452Q8—121no—
1453Q8—121no—
1454Q8—122no—
1455Q8—241no—
1456Q8—241no—
1457Q8—241no—
1458Q8—241no—
1459Q8—241no—
1460Q8#100712yes—
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—81no—
1495C2×C4—81no—
1496C2×C4—121no—
1497C2×C4—121no—
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×#100711yescharacteristic
1561C4D3×2−1+411yescharacteristic
1562C3#6185611yescharacteristic, complemented, Sylow
1563C2—81no—
1564C2—121no—
1565C2—241no—
1566C2#8675911yescharacteristic
1567C2#8718711yescharacteristic
1568C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3381C2
socleC22×C3C23×D4
prime radical#5562C22
hypercenter#3381D3
hypocenterC3#61856
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3381

Complements

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

NH ≅ G/Ntype
1. #87032C2semidirect
3. C3×#3381C2semidirect
4. #83700C2semidirect
5. #83632C2semidirect
6. #81930C2semidirect
7. #81923C2semidirect
8. #81921C2semidirect
9. #81914C2semidirect
10. #81906C2semidirect
11. #81898C2semidirect
12. #81226C2semidirect
13. #81223C2semidirect
14. #81211C2semidirect
15. #81207C2semidirect
16. #81203C2semidirect
18. #81175C2semidirect
19. #81155C2semidirect
20. #81105C2semidirect
21. #81096C2semidirect
22. #80974C2semidirect
23. #80956C2semidirect
24. #79934C2semidirect
25. #79922C2semidirect
27. #79658C2semidirect
28. #79656C2semidirect
29. #79627C2semidirect
30. #79626C2semidirect
31. #79624C2semidirect
213. #3381D3semidirect
1562. C3#61856semidirect

Maximal subgroups

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

subgroupindex
#870322
#869422
C3×#33812
#837002
#836322
#819302
#819232
#819212
#819142
#819062
#818982
#812262
#812232
#812112
#812072
#812032
#811762
#811752
#811552
#811052
#810962
#809742
#809562
#799342
#799222
#796612
#796582
#796562
#796272
#796262
#796242
#618563