Finite Group Databasebeta

← #11685672

Subgroups — #11685672

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#87059C211yesmaximal, characteristic
2#87046C211yesmaximal, characteristic, complemented
3C3×#3375C211yesmaximal, characteristic, complemented
4#83718C211yesmaximal, characteristic, complemented
5#83709C211yesmaximal, characteristic, complemented
6#81695C211yesmaximal, characteristic, complemented
7#81693C211yesmaximal, characteristic, complemented
8#81677C211yesmaximal, characteristic, complemented
9#81671C211yesmaximal, characteristic, complemented
10#81589C211yesmaximal, characteristic, complemented
11#81575C211yesmaximal, characteristic
12#81116C211yesmaximal, characteristic, complemented
13#81105C211yesmaximal, characteristic, complemented
14#80974C211yesmaximal, characteristic, complemented
15#80970C211yesmaximal, characteristic, complemented
16#80960C211yesmaximal, characteristic, complemented
17#80958C211yesmaximal, characteristic, complemented
18#80587C211yesmaximal, characteristic, complemented
19#80580C211yesmaximal, characteristic, complemented
20#80573C211yesmaximal, characteristic, complemented
21#80569C211yesmaximal, characteristic, complemented
22#80373C211yesmaximal, characteristic, complemented
23#80365C211yesmaximal, characteristic
24#79987C211yesmaximal, characteristic, complemented
25#79966C211yesmaximal, characteristic, complemented
26#79814C211yesmaximal, characteristic, complemented
27#79784C211yesmaximal, characteristic, complemented
28#79762C211yesmaximal, characteristic, complemented
29#79761C211yesmaximal, characteristic, complemented
30#79724C211yesmaximal, characteristic, complemented
31#79707C211yesmaximal, characteristic, complemented
32#61856—31nomaximal, Sylow
33C3×#559C2211yescharacteristic
34C3×Q82C2211yescharacteristic
35#5729—21no—
36#5729—21no—
37#5729C2211yescharacteristic
38#5729C2211yescharacteristic
39#5728—21no—
40#5728C2211yescharacteristic
41#5722—21no—
42#5722C2211yescharacteristic
43#5721—21no—
44#5721—21no—
45#5721C2211yescharacteristic
46#5721C2211yescharacteristic
47#5719C2211yescharacteristic
48#5713C2211yescharacteristic
49#5682C2211yescharacteristic
50#5680C2211yescharacteristic
51#5672—21no—
52#5671C2211yescharacteristic
53#5671C2211yescharacteristic
54#5669—21no—
55#5665—21no—
56#5662—21no—
57#5651—21no—
58#5650—21no—
59#5583C2211yescharacteristic
60#5578—21no—
61#5578C2211yescharacteristic
62#5572C2211yescharacteristic
63#5572C2211yescharacteristic
64C4×D3×Q8C2211yescharacteristic
65#5570C2211yescharacteristic
66#5569C2211yescharacteristic
67#5569C2211yescharacteristic
68#5569C2211yescharacteristic
69#5567—21no—
70#5567C2211yescharacteristic
71#5567C2211yescharacteristic
72#5564—21no—
73#5561C2211yescharacteristic
74#5557C2211yescharacteristic
75#5543C2211yescharacteristic
76#5541—21no—
77#5539C2211yescharacteristic
78C3×#489C2211yescharacteristic
79C3×#489C2211yescharacteristic
80C3×#486C2211yescharacteristic
81C3×#477C2211yescharacteristic
82C3×#474C2211yescharacteristic
83C3×#474C2211yescharacteristic
84C3×#464C2211yescharacteristic
85C3×#464C2211yescharacteristic
86C3×#460C2211yescharacteristic
87C3×#446C2211yescharacteristic
88C3×#440C2211yescharacteristic
89C3×#440C2211yescharacteristic
90C3×C4×Q16C2211yescharacteristic
91#5186C2211yescharacteristic
92#5182C2211yescharacteristic
93Dic3×Q16C2211yescharacteristic
94Dic3×Q16C2211yescharacteristic
95#5170C2211yescharacteristic
96#5170C2211yescharacteristic
97#5166C2211yescharacteristic
98#5166C2211yescharacteristic
99#5164C2211yescharacteristic
100#5164C2211yescharacteristic
101Dic3×SD16C2211yescharacteristic
102Dic3×SD16C2211yescharacteristic
103#5094C2211yescharacteristic
104#5094C2211yescharacteristic
105#5091C2211yescharacteristic
106#5081C2211yescharacteristic
107#5081C2211yescharacteristic
108#5080C2211yescharacteristic
109#5075C2211yescharacteristic
110#5071C2211yescharacteristic
111#5056C2211yescharacteristic
112#5055C2211yescharacteristic
113#5054C2211yescharacteristic
114#5054C2211yescharacteristic
115#5030C2211yescharacteristic
116#5030C2211yescharacteristic
117#5030C2211yescharacteristic
118C4×#216C2211yescharacteristic
119#5024C2211yescharacteristic
120#5022C2211yescharacteristic
121#5022C2211yescharacteristic
122#5022C2211yescharacteristic
123#5020C2211yescharacteristic
124#5018C2211yescharacteristic
125C4×#214C2211yescharacteristic
126#5009C2211yescharacteristic
127#5008C2211yescharacteristic
128#4888C2211yescharacteristic
129#4888C2211yescharacteristic
130#4884C2211yescharacteristic
131#4878C2211yescharacteristic
132#4878C2211yescharacteristic
133#4878C2211yescharacteristic
134#4877C2211yescharacteristic
135#4877C2211yescharacteristic
136#4876C2211yescharacteristic
137#4876C2211yescharacteristic
138#4875C2211yescharacteristic
139#4874C2211yescharacteristic
140#4850C2211yescharacteristic
141#4850C2211yescharacteristic
142#4840C2211yescharacteristic
143#4840C2211yescharacteristic
144#4833C2211yescharacteristic
145#4830C2211yescharacteristic
146#4829C2211yescharacteristic
147#4829C2211yescharacteristic
148#4829C2211yescharacteristic
149#4829C2211yescharacteristic
150#4828C2211yescharacteristic
151#4828C2211yescharacteristic
152#4814C2211yescharacteristic
153#4814C2211yescharacteristic
154#4809C2211yescharacteristic
155#4805C2211yescharacteristic
156#4799C2211yescharacteristic
157#4799C2211yescharacteristic
158#4799C2211yescharacteristic
159#4797C2211yescharacteristic
160#4796C2211yescharacteristic
161#4796C2211yescharacteristic
162#4795C2211yescharacteristic
163#4792C2211yescharacteristic
164#4791C2211yescharacteristic
165#4791C2211yescharacteristic
166#4790C2211yescharacteristic
167#4789C2211yescharacteristic
168#4784C2211yescharacteristic
169#4784C2211yescharacteristic
170#4779C2211yescharacteristic
171#4779C2211yescharacteristic
172#4777C2211yescharacteristic
173#4774C2211yescharacteristic
174#4768C2211yescharacteristic
175#4768C2211yescharacteristic
176#4768C2211yescharacteristic
177#4767C2211yescharacteristic
178#4767C2211yescharacteristic
179#4766C2211yescharacteristic
180#4766C2211yescharacteristic
181#4766C2211yescharacteristic
182#4766C2211yescharacteristic
183#4765C2211yescharacteristic
184#4763C2211yescharacteristic
185#4761C2211yescharacteristic
186#4761C2211yescharacteristic
187#4759C2211yescharacteristic
188#4758C2211yescharacteristic
189#4758C2211yescharacteristic
190#4758C2211yescharacteristic
191#4757C2211yescharacteristic
192#4716C2211yescharacteristic
193#4716C2211yescharacteristic
194#4709C2211yescharacteristic
195#4705C2211yescharacteristic
196#4702C2211yescharacteristic
197#4702C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
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#3375D311yescharacteristic, complemented
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×Q16C2311yescharacteristic
237C2×C3×SD16C2311yescharacteristic
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×#127C2311yescharacteristic
246C3×#124—21no—
247C3×#124C2311yescharacteristic
248C3×#124C2311yescharacteristic
249C3×#123—21no—
250C3×#123—21no—
251C3×C4×Q8—21no—
252C3×C4×Q8C2311yescharacteristic
253C3×C4×Q8C2311yescharacteristic
254C3×C4×Q8C2311yescharacteristic
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×D4—21no—
258C3×C4×D4C2311yescharacteristic
259C3×C4×D4C2311yescharacteristic
260#946—21no—
261#946—21no—
262#946—21no—
263#946D411yescharacteristic
264#946C2311yescharacteristic
265Q8×Dic3—21no—
266Q8×Dic3—21no—
267Q8×Dic3—21no—
268Q8×Dic3C2311yescharacteristic
269Q8×Dic3C2311yescharacteristic
270Q8×Dic3C2311yescharacteristic
271Q8×Dic3C2311yescharacteristic
272Q8×Dic3C2311yescharacteristic
273#944—21no—
274#944—21no—
275#944—21no—
276#944—21no—
277#944—21no—
278#944—21no—
279#944—21no—
280#944—21no—
281#944D411yescharacteristic
282#944C2311yescharacteristic
283C2×#216C2311yescharacteristic
284C2×#216C2311yescharacteristic
285#939—21no—
286#939—21no—
287#938C2311yescharacteristic
288#938C2311yescharacteristic
289#936—21no—
290#936C2311yescharacteristic
291#936C2311yescharacteristic
292#935—21no—
293#935—21no—
294#935—21no—
295#935—21no—
296D4×Dic3—21no—
297D4×Dic3C2311yescharacteristic
298D4×Dic3C2311yescharacteristic
299D4×Dic3C2311yescharacteristic
300D4×Dic3C2311yescharacteristic
301C2×#214C2311yescharacteristic
302C2×#214C2311yescharacteristic
303#929—21no—
304C4×#67—21no—
305#926—21no—
306C2×C4⋊Dic3—21no—
307#924—21no—
308#924—21no—
309#924—21no—
310C2×Dic3⋊C4—21no—
311C2×Dic12C2311yescharacteristic
312#898—21no—
313#897—21no—
314#897D411yescharacteristic
315#897C2311yescharacteristic
316#896—21no—
317#896—21no—
318#896D411yescharacteristic
319#896D411yescharacteristic
320#892—21no—
321#892—21no—
322#892C2311yescharacteristic
323#892C2311yescharacteristic
324D3×C4⋊C4—21no—
325D3×C4⋊C4C2311yescharacteristic
326#890—21no—
327#890—21no—
328#890—21no—
329#890—21no—
330#890—21no—
331#890C2311yescharacteristic
332#890C2311yescharacteristic
333#890C2311yescharacteristic
334#890C2311yescharacteristic
335#890C2311yescharacteristic
336#890C2311yescharacteristic
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#889—21no—
348#889D411yescharacteristic
349#889D411yescharacteristic
350#888—21no—
351#888—21no—
352#888—21no—
353#888—21no—
354#888D411yescharacteristic
355#888C2311yescharacteristic
356#888C2311yescharacteristic
357#888C2311yescharacteristic
358#887—21no—
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#885—21no—
370#885—21no—
371#883—21no—
372#883—21no—
373#67⋊C4—21no—
374#879—21no—
375#879—21no—
376#879—21no—
377#879—21no—
378#879—21no—
379#879—21no—
380#879—21no—
381#879—21no—
382#878—21no—
383#878—21no—
384#878—21no—
385#878—21no—
386#878—21no—
387#878—21no—
388#878—21no—
389#877—21no—
390#877—21no—
391#877—21no—
392#876—21no—
393#872—21no—
394#872—21no—
395#872C2311yescharacteristic
396#872C2311yescharacteristic
397C42×D3—21no—
398C42×D3C2311yescharacteristic
399#870—21no—
400#870—21no—
401#870—21no—
402#870—21no—
403#870C2311yescharacteristic
404#870C2311yescharacteristic
405#870C2311yescharacteristic
406#870C2311yescharacteristic
407#869—21no—
408#869C2311yescharacteristic
409#869C2311yescharacteristic
410C4×Dic6—21no—
411C4×Dic6—21no—
412C4×Dic6—21no—
413C4×Dic6—21no—
414C4×Dic6—21no—
415C4×Dic6—21no—
416C4×Dic6—21no—
417C4×Dic6C2311yescharacteristic
418C4×Dic6C2311yescharacteristic
419C4×Dic6C2311yescharacteristic
420C4×Dic6C2311yescharacteristic
421C4×Dic6C2311yescharacteristic
422C4×Dic6C2311yescharacteristic
423C4×Dic6C2311yescharacteristic
424C4×Dic6C2311yescharacteristic
425C4×Dic6C2311yescharacteristic
426C3×#107C2311yescharacteristic
427C3×#107C2311yescharacteristic
428C3×#107C2311yescharacteristic
429C3×C4⋊C8C2311yescharacteristic
430C3×C4⋊C8C2311yescharacteristic
431C3×C4⋊C8C2311yescharacteristic
432C3×#103C2311yescharacteristic
433C3×#103C2311yescharacteristic
434C3×#103C2311yescharacteristic
435C3×#103C2311yescharacteristic
436C3×#102C2311yescharacteristic
437C3×#102C2311yescharacteristic
438C3×#102C2311yescharacteristic
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#832C2311yescharacteristic
452#832C2311yescharacteristic
453#832C2311yescharacteristic
454#832C2311yescharacteristic
455#832C2311yescharacteristic
456#832C2311yescharacteristic
457(C2×D3)⋊C8C2311yescharacteristic
458(C2×D3)⋊C8C2311yescharacteristic
459(C2×D3)⋊C8C2311yescharacteristic
460(C2×D3)⋊C8C2311yescharacteristic
461#818C2311yescharacteristic
462#818C2311yescharacteristic
463#818C2311yescharacteristic
464#818C2311yescharacteristic
465#818C2311yescharacteristic
466#817C2311yescharacteristic
467#817C2311yescharacteristic
468#817C2311yescharacteristic
469#817C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#816C2311yescharacteristic
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#810C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#808C2311yescharacteristic
493#808C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
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#559C2×D311yescharacteristic
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#556—31no—
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#487—31no—
578#486C2×D311yescharacteristic
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#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#474C2×D311yescharacteristic
626#474C2×D311yescharacteristic
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#462—31no—
637#460—31no—
638#460C2×D311yescharacteristic
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#441—31no—
656#441—31no—
657#440—31no—
658#440—31no—
659#440—31no—
660#440—31no—
661#440C2×D311yescharacteristic
662#440C2×D311yescharacteristic
663C4×Q16—31no—
664C4×Q16—31no—
665C4×Q16—31no—
666C4×Q16—31no—
667C4×Q16—31no—
668C4×Q16C2×D311yescharacteristic
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#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×D4—21no—
688C2×C3×D4—21no—
689C2×C3×D4C2411yescharacteristic
690C2×C3×D4C2411yescharacteristic
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C2×#67—21no—
694C2×#67—21no—
695C22×Dic3—21no—
696C22×Dic3—21no—
697C22×Dic3—21no—
698C22×Dic3—21no—
699D3×Q8—22no—
700D3×Q8—22no—
701C2×C4×D3—21no—
702C2×C4×D3—21no—
703C2×C4×D3C2×D411yescharacteristic
704C2×C4×D3C2×D411yescharacteristic
705C2×C4×D3C2411yescharacteristic
706C2×Dic6—21no—
707C2×Dic6—21no—
708C2×Dic6—21no—
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6C2×D411yescharacteristic
713C2×Dic6C2×D411yescharacteristic
714C2×Dic6C2×D411yescharacteristic
715C2×Dic6C2411yescharacteristic
716C2×Dic6C2411yescharacteristic
717C3×Q16—22no—
718C3×SD16—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⋊C4C2×D411yescharacteristic
732C3×C4⋊C4C2×D411yescharacteristic
733C3×C4⋊C4C2×D411yescharacteristic
734C3×C4⋊C4C2411yescharacteristic
735C3×C4⋊C4C2411yescharacteristic
736C3×C4⋊C4C2411yescharacteristic
737C3×C4⋊C4C2411yescharacteristic
738C3×C22⋊C4—21no—
739C3×C22⋊C4—21no—
740C3×C22⋊C4—21no—
741C3×C22⋊C4—21no—
742C3×C22⋊C4—21no—
743C3×C22⋊C4—21no—
744C3×C42—21no—
745C3×C42—21no—
746C3×C42—21no—
747C3×C42—21no—
748C3×C42C2411yescharacteristic
749C3×C42C2411yescharacteristic
750C3×C42C2411yescharacteristic
751#217—21no—
752#217—21no—
753#217—21no—
754#217—21no—
755#217—21no—
756#217—21no—
757#217—21no—
758#217—21no—
759#217—21no—
760#217—21no—
761#216—22no—
762#216—22no—
763#214—22no—
764#214—22no—
765(C2×D3)⋊C4—21no—
766(C2×D3)⋊C4—21no—
767(C2×D3)⋊C4—21no—
768(C2×D3)⋊C4—21no—
769(C2×D3)⋊C4C2×D411yescharacteristic
770(C2×D3)⋊C4C2×D411yescharacteristic
771(C2×D3)⋊C4C2×D411yescharacteristic
772(C2×D3)⋊C4C2×D411yescharacteristic
773C4⋊Dic3—21no—
774C4⋊Dic3—21no—
775C4⋊Dic3—21no—
776C4⋊Dic3—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⋊Dic3C2411yescharacteristic
791C4⋊Dic3C2411yescharacteristic
792C4⋊Dic3C2411yescharacteristic
793C4⋊Dic3C2411yescharacteristic
794C4⋊Dic3C2411yescharacteristic
795C4⋊Dic3C2411yescharacteristic
796Dic3⋊C4—21no—
797Dic3⋊C4—21no—
798Dic3⋊C4—21no—
799Dic3⋊C4—21no—
800Dic3⋊C4—21no—
801Dic3⋊C4—21no—
802Dic3⋊C4—21no—
803Dic3⋊C4—21no—
804Dic3⋊C4—21no—
805Dic3⋊C4—21no—
806Dic3⋊C4—21no—
807Dic3⋊C4—21no—
808Dic3⋊C4—21no—
809Dic3⋊C4—21no—
810Dic3⋊C4—21no—
811Dic3⋊C4—21no—
812Dic3⋊C4—21no—
813Dic3⋊C4—21no—
814Dic3⋊C4—21no—
815Dic3⋊C4—21no—
816Dic3⋊C4—21no—
817Dic3⋊C4—21no—
818Dic3⋊C4—21no—
819Dic3⋊C4—21no—
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4C2×D411yescharacteristic
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
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×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
861Dic12—22no—
862C22×Q8—31no—
863C2×Q16—31no—
864C2×Q16—31no—
865C2×Q16—31no—
866C2×Q16C22×D311yescharacteristic
867C2×SD16—31no—
868C2×SD16—31no—
869C2×SD16C22×D311yescharacteristic
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—31no—
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#127C22×D311yescharacteristic
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—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—21no—
942#124—31no—
943#124—31no—
944#124—61no—
945#124—61no—
946#124—61no—
947#124C22×D311yescharacteristic
948#124C22×D311yescharacteristic
949#123—21no—
950#123—21no—
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—31no—
960C22⋊Q8—31no—
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⋊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—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×Q8—61no—
1020C4×Q8C22×D311yescharacteristic
1021C4×Q8C22×D311yescharacteristic
1022C4×Q8C22×D311yescharacteristic
1023C4×Q8C22×D311yescharacteristic
1024C4×Q8C22×D311yescharacteristic
1025C4×D4—21no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—31no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4—61no—
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—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#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#106—31no—
1074#106—31no—
1075#106—31no—
1076#106—31no—
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#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#102C22×D311yescharacteristic
1116#102C22×D311yescharacteristic
1117#102C22×D311yescharacteristic
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—
1138C23×C3—21no—
1139C22×D3C22×D411yescharacteristic
1140C3×Q8—21no—
1141C3×Q8—21no—
1142C3×Q8—21no—
1143C3×Q8—41no—
1144C3×Q8—81no—
1145C3×Q8—81no—
1146C3×Q8—81no—
1147C3×Q82−1+412yes—
1148C3×D4—21no—
1149C3×D4—21no—
1150C3×D4—21no—
1151C3×D4—21no—
1152C3×D4—81no—
1153C3×D4—81no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—81no—
1161C2×C3×C4—81no—
1162C2×C3×C4C22×D411yescharacteristic
1163C2×C3×C4C22×D411yescharacteristic
1164C2×C3×C4C22×D411yescharacteristic
1165C2×C3×C4C22×D411yescharacteristic
1166C2×C3×C4C22×D411yescharacteristic
1167C2×C3×C4C22×D411yescharacteristic
1168C2×C3×C4C2511yescharacteristic
1169#67—81no—
1170#67—81no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—81no—
1180C2×Dic3—81no—
1181C2×Dic3—81no—
1182C2×Dic3—81no—
1183C2×Dic3C22×D411yescharacteristic
1184C2×Dic3C22×D411yescharacteristic
1185C2×Dic3C22×D411yescharacteristic
1186C2×Dic3C22×D411yescharacteristic
1187C2×Dic3C22×D411yescharacteristic
1188C2×Dic3C22×D411yescharacteristic
1189C2×Dic3C22×D411yescharacteristic
1190C4×D3—24no—
1191C4×D3—21no—
1192C4×D3—21no—
1193C4×D3—41no—
1194C4×D3—41no—
1195C4×D3—81no—
1196Dic6—24no—
1197Dic6—21no—
1198Dic6—21no—
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—31no—
1225C2×Q8—61no—
1226C2×Q8—61no—
1227C2×Q8—61no—
1228C2×Q8—61no—
1229C2×Q8—62no—
1230C2×Q8—62no—
1231C2×Q8—61no—
1232C2×Q8—61no—
1233C2×Q8D3×D411yescharacteristic
1234C2×Q8C23×D311yescharacteristic
1235C2×Q8C23×D311yescharacteristic
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—61no—
1239C2×D4—61no—
1240C2×D4C23×D311yescharacteristic
1241C2×D4C23×D311yescharacteristic
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—61no—
1248C22×C4—61no—
1249C22×C4—61no—
1250C22×C4—61no—
1251C22×C4—61no—
1252C22×C4—61no—
1253Q16—22no—
1254Q16—62no—
1255Q16—62no—
1256Q16—62no—
1257SD16—22no—
1258SD16—22no—
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—31no—
1277C4⋊C4—31no—
1278C4⋊C4—31no—
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—61no—
1296C4⋊C4—61no—
1297C4⋊C4—61no—
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—21no—
1352C22⋊C4—31no—
1353C22⋊C4—31no—
1354C22⋊C4—31no—
1355C22⋊C4—31no—
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—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—
1395C42C23×D311yescharacteristic
1396C42C23×D311yescharacteristic
1397C42C23×D311yescharacteristic
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3C23×D411yescharacteristic
1405C2×D3—21no—
1406C2×D3—21no—
1407C2×D3—21no—
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×C4C2×2−1+411yescharacteristic
1421C3×C4C2×2−1+411yescharacteristic
1422Dic3—21no—
1423Dic3—21no—
1424Dic3—21no—
1425Dic3—21no—
1426Dic3—21no—
1427Dic3—21no—
1428Dic3—21no—
1429Dic3—22no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437C23—21no—
1438C23—21no—
1439C23—31no—
1440Q8—21no—
1441Q8—21no—
1442Q8—21no—
1443Q8—32no—
1444Q8—41no—
1445Q8—64no—
1446Q8—61no—
1447Q8—61no—
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—21no—
1464D4—21no—
1465D4—81no—
1466D4—81no—
1467D4—241no—
1468D4—241no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—31no—
1476C2×C4—31no—
1477C2×C4—31no—
1478C2×C4—31no—
1479C2×C4—31no—
1480C2×C4—31no—
1481C2×C4—31no—
1482C2×C4—64no—
1483C2×C4—61no—
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—121no—
1496C2×C4—121no—
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—81no—
1519C2×C3#348611yescharacteristic
1520C2×C3#358411yescharacteristic
1521C2×C3#358611yescharacteristic
1522D3—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—61no—
1530C22—61no—
1531C22—61no—
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—61no—
1546C4—61no—
1547C4—61no—
1548C4—61no—
1549C4—61no—
1550C4—61no—
1551C4—61no—
1552C4—62no—
1553C4—121no—
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—81no—
1565C2—121no—
1566C2#8673511yescharacteristic
1567C2#8719711yescharacteristic
1568C2#8720311yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3375C2
socleC22×C3C23×D4
prime radical#5719C22
hypercenter#3375D3
hypocenterC3#61856
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
2. #87046C2semidirect
3. C3×#3375C2semidirect
4. #83718C2semidirect
5. #83709C2semidirect
6. #81695C2semidirect
7. #81693C2semidirect
8. #81677C2semidirect
9. #81671C2semidirect
10. #81589C2semidirect
12. #81116C2semidirect
13. #81105C2semidirect
14. #80974C2semidirect
15. #80970C2semidirect
16. #80960C2semidirect
17. #80958C2semidirect
18. #80587C2semidirect
19. #80580C2semidirect
20. #80573C2semidirect
21. #80569C2semidirect
22. #80373C2semidirect
24. #79987C2semidirect
25. #79966C2semidirect
26. #79814C2semidirect
27. #79784C2semidirect
28. #79762C2semidirect
29. #79761C2semidirect
30. #79724C2semidirect
31. #79707C2semidirect
216. #3375D3semidirect
1562. C3#61856semidirect

Maximal subgroups

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

subgroupindex
#870592
#870462
C3×#33752
#837182
#837092
#816952
#816932
#816772
#816712
#815892
#815752
#811162
#811052
#809742
#809702
#809602
#809582
#805872
#805802
#805732
#805692
#803732
#803652
#799872
#799662
#798142
#797842
#797622
#797612
#797242
#797072
#618563