Finite Group Databasebeta

← #11675422

Subgroups — #11675422

Order 768.

1724 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87032C211yesmaximal, characteristic, complemented
2#87020C211yesmaximal, characteristic
3C3×#3374C211yesmaximal, characteristic, complemented
4#83700C211yesmaximal, characteristic, complemented
5#83699C211yesmaximal, characteristic, complemented
6#81739C211yesmaximal, characteristic, complemented
7#81738C211yesmaximal, characteristic
8#81735C211yesmaximal, characteristic, complemented
9#81733C211yesmaximal, characteristic, complemented
10#81624C211yesmaximal, characteristic, complemented
11#81599C211yesmaximal, characteristic
12#81232C211yesmaximal, characteristic, complemented
13#81229C211yesmaximal, characteristic
14#81220C211yesmaximal, characteristic, complemented
15#81216C211yesmaximal, characteristic, complemented
16#81013C211yesmaximal, characteristic, complemented
17#81004C211yesmaximal, characteristic, complemented
18#80478C211yesmaximal, characteristic
19#80478C211yesmaximal, characteristic
20D3×#462C211yesmaximal, characteristic, complemented
21#80467C211yesmaximal, characteristic, complemented
22#80466C211yesmaximal, characteristic, complemented
23#80462C211yesmaximal, characteristic, complemented
24#79985C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79831C211yesmaximal, characteristic, complemented
27#79829C211yesmaximal, characteristic
28#79817C211yesmaximal, characteristic, complemented
29#79815C211yesmaximal, characteristic, complemented
30#79720C211yesmaximal, characteristic, complemented
31#79700C211yesmaximal, characteristic, complemented
32#61342—31nomaximal, Sylow
33C3×#557C2211yescharacteristic
34C3×#557C2211yescharacteristic
35C2×#918C2211yescharacteristic
36C2×D3×Q16C2211yescharacteristic
37C2×D3×Q16C2211yescharacteristic
38#5732C2211yescharacteristic
39#5729—21no—
40#5729C2211yescharacteristic
41#5724C2211yescharacteristic
42#5724C2211yescharacteristic
43D3×C4⋊Q8C2211yescharacteristic
44#5722—21no—
45#5722C2211yescharacteristic
46#5721C2211yescharacteristic
47#5721C2211yescharacteristic
48#5696—21no—
49#5696—21no—
50#5694—21no—
51#5693—21no—
52#5693—21no—
53#5689—21no—
54#5689C2211yescharacteristic
55#5688—21no—
56#5688—21no—
57#5688C2211yescharacteristic
58#5685—21no—
59#5685—21no—
60#5685C2211yescharacteristic
61#5685C2211yescharacteristic
62#5584C2211yescharacteristic
63#5581—21no—
64#5578—21no—
65#5578—21no—
66#5578C2211yescharacteristic
67C4×#239C2211yescharacteristic
68#5572C2211yescharacteristic
69#5572C2211yescharacteristic
70#5572C2211yescharacteristic
71#5572C2211yescharacteristic
72C4×D3×Q8C2211yescharacteristic
73#5569C2211yescharacteristic
74#5569C2211yescharacteristic
75#5568C2211yescharacteristic
76#5568C2211yescharacteristic
77#5567—21no—
78#5567C2211yescharacteristic
79#5567C2211yescharacteristic
80Q8×Dic6C2211yescharacteristic
81C3×#491C2211yescharacteristic
82C3×#491C2211yescharacteristic
83C3×#487C2211yescharacteristic
84C3×#479C2211yescharacteristic
85C3×#479C2211yescharacteristic
86C3×#475C2211yescharacteristic
87C3×#462C2211yescharacteristic
88C3×#462C2211yescharacteristic
89C3×#462C2211yescharacteristic
90C3×#446C2211yescharacteristic
91C3×#441C2211yescharacteristic
92C3×#441C2211yescharacteristic
93C3×C4×Q16C2211yescharacteristic
94#5185C2211yescharacteristic
95#5185C2211yescharacteristic
96#5184C2211yescharacteristic
97#5182C2211yescharacteristic
98#5182C2211yescharacteristic
99#5182C2211yescharacteristic
100#5182C2211yescharacteristic
101Dic3×Q16C2211yescharacteristic
102Dic3×Q16C2211yescharacteristic
103#5091C2211yescharacteristic
104#5090C2211yescharacteristic
105#5090C2211yescharacteristic
106#5090C2211yescharacteristic
107#5089C2211yescharacteristic
108#5082C2211yescharacteristic
109#5082C2211yescharacteristic
110#5079C2211yescharacteristic
111#5069C2211yescharacteristic
112#5068C2211yescharacteristic
113#5066C2211yescharacteristic
114#5063C2211yescharacteristic
115#5031C2211yescharacteristic
116#5030C2211yescharacteristic
117#5030C2211yescharacteristic
118#5030C2211yescharacteristic
119C4×#216C2211yescharacteristic
120C4×#216C2211yescharacteristic
121#5028C2211yescharacteristic
122#5028C2211yescharacteristic
123#5026C2211yescharacteristic
124#5024C2211yescharacteristic
125#5022C2211yescharacteristic
126#5022C2211yescharacteristic
127#5020C2211yescharacteristic
128#4890C2211yescharacteristic
129#4880C2211yescharacteristic
130#4877C2211yescharacteristic
131#4873C2211yescharacteristic
132#4870C2211yescharacteristic
133#4861C2211yescharacteristic
134#4860C2211yescharacteristic
135#4857C2211yescharacteristic
136#4854C2211yescharacteristic
137#4854C2211yescharacteristic
138#4853C2211yescharacteristic
139#4852C2211yescharacteristic
140#4850C2211yescharacteristic
141#4849C2211yescharacteristic
142#4847C2211yescharacteristic
143#4845C2211yescharacteristic
144#4845C2211yescharacteristic
145#4839C2211yescharacteristic
146#4839C2211yescharacteristic
147D3×C4⋊C8C2211yescharacteristic
148#4830C2211yescharacteristic
149#4829C2211yescharacteristic
150#4828C2211yescharacteristic
151#4828C2211yescharacteristic
152#4804C2211yescharacteristic
153#4804C2211yescharacteristic
154#4803C2211yescharacteristic
155#4802C2211yescharacteristic
156#4802C2211yescharacteristic
157#4802C2211yescharacteristic
158#4802C2211yescharacteristic
159#4802C2211yescharacteristic
160D3×#103C2211yescharacteristic
161D3×#103C2211yescharacteristic
162#4800C2211yescharacteristic
163#4800C2211yescharacteristic
164#4799C2211yescharacteristic
165#4798C2211yescharacteristic
166#4798C2211yescharacteristic
167#4797C2211yescharacteristic
168#4797C2211yescharacteristic
169#4796C2211yescharacteristic
170#4795C2211yescharacteristic
171#4795C2211yescharacteristic
172#4795C2211yescharacteristic
173#4795C2211yescharacteristic
174#4794C2211yescharacteristic
175#4794C2211yescharacteristic
176#4793C2211yescharacteristic
177#4793C2211yescharacteristic
178#4793C2211yescharacteristic
179#4792C2211yescharacteristic
180#4792C2211yescharacteristic
181#4792C2211yescharacteristic
182#4792C2211yescharacteristic
183#4792C2211yescharacteristic
184#4792C2211yescharacteristic
185#4791C2211yescharacteristic
186#4790C2211yescharacteristic
187#4790C2211yescharacteristic
188#4790C2211yescharacteristic
189#4789C2211yescharacteristic
190#4789C2211yescharacteristic
191#4788C2211yescharacteristic
192#4716C2211yescharacteristic
193#4714C2211yescharacteristic
194#4710C2211yescharacteristic
195#4708C2211yescharacteristic
196#4707C2211yescharacteristic
197#4703C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4697C2211yescharacteristic
202#4689C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3509—31no—
205#3502—31no—
206#3377—31no—
207#3377—31no—
208#3377—31no—
209#3377—31no—
210#3374—31no—
211#3374—31no—
212#3374—31no—
213#3374—31no—
214#3374—31no—
215#3374D311yescharacteristic, complemented
216#3369—31no—
217#3369—31no—
218#3364—31no—
219#3364—31no—
220#3363—31no—
221#3363—31no—
222#3139—31no—
223#3137—31no—
224#3137—31no—
225#3082—31no—
226#3082—31no—
227#3076—31no—
228#3044—31no—
229#3044—31no—
230C2×#462—31no—
231#2962—31no—
232#2950—31no—
233#2950—31no—
234C4×#137—31no—
235C2×#239C2311yescharacteristic
236C2×D3×Q8C2311yescharacteristic
237C2×D3×Q8C2311yescharacteristic
238C2×D3×Q8C2311yescharacteristic
239C2×C3×Q16C2311yescharacteristic
240C2×C3×Q16C2311yescharacteristic
241C2×C3×Q16C2311yescharacteristic
242C3×C4⋊Q8—21no—
243C3×C4⋊Q8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×C4⋊Q8C2311yescharacteristic
247C3×#125—21no—
248C3×#125—21no—
249C3×#125—21no—
250C3×#125—21no—
251C3×#125—21no—
252C3×#125C2311yescharacteristic
253C3×#125C2311yescharacteristic
254C3×C4×Q8—21no—
255C3×C4×Q8—21no—
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×Q8C2311yescharacteristic
262C3×C4×Q8C2311yescharacteristic
263#947C2311yescharacteristic
264#947C2311yescharacteristic
265#946—21no—
266#946—21no—
267#946D411yescharacteristic
268Q8×Dic3C2311yescharacteristic
269Q8×Dic3C2311yescharacteristic
270Q8×Dic3C2311yescharacteristic
271Q8×Dic3C2311yescharacteristic
272Q8×Dic3C2311yescharacteristic
273Q8×Dic3C2311yescharacteristic
274#944—21no—
275#944—21no—
276#944—21no—
277#944—21no—
278#944D411yescharacteristic
279#944C2311yescharacteristic
280#944C2311yescharacteristic
281#944C2311yescharacteristic
282#944C2311yescharacteristic
283C2×#216C2311yescharacteristic
284C2×#216C2311yescharacteristic
285C2×#216C2311yescharacteristic
286C2×#216C2311yescharacteristic
287C2×#216C2311yescharacteristic
288C2×#215C2311yescharacteristic
289#918—24no—
290D3×Q16—24no—
291D3×Q16—24no—
292C2×Dic12C2311yescharacteristic
293C2×Dic12C2311yescharacteristic
294C2×#204C2311yescharacteristic
295C2×ΓL(1,𝔽25)C2311yescharacteristic
296C2×ΓL(1,𝔽25)C2311yescharacteristic
297C2×D3×C8C2311yescharacteristic
298C2×D3×C8C2311yescharacteristic
299#898—21no—
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#896—21no—
314#896—21no—
315#896—21no—
316#896—21no—
317#896—21no—
318#896D411yescharacteristic
319#896D411yescharacteristic
320#894—21no—
321#894—21no—
322#894—21no—
323#894—21no—
324#893—21no—
325#893C2311yescharacteristic
326#892—21no—
327#892—21no—
328#892—21no—
329#892—21no—
330#892—21no—
331#892—21no—
332#892—21no—
333#892C2311yescharacteristic
334#892C2311yescharacteristic
335#892C2311yescharacteristic
336D3×C4⋊C4—21no—
337D3×C4⋊C4—21no—
338D3×C4⋊C4—21no—
339D3×C4⋊C4C2311yescharacteristic
340#890—21no—
341#890—21no—
342#890—21no—
343#890—21no—
344#890C2311yescharacteristic
345#890C2311yescharacteristic
346#889—21no—
347#889—21no—
348#889—21no—
349#889—21no—
350#889—21no—
351#889—21no—
352#889—21no—
353#889—21no—
354#889—21no—
355#889—21no—
356#889—21no—
357#889—21no—
358#889—21no—
359#889—21no—
360#889D411yescharacteristic
361#889D411yescharacteristic
362#888—21no—
363#888—21no—
364#888—21no—
365#888—21no—
366#888—21no—
367#888—21no—
368#888—21no—
369#888—21no—
370#888—21no—
371#888—21no—
372#888D411yescharacteristic
373#888C2311yescharacteristic
374#888C2311yescharacteristic
375#888C2311yescharacteristic
376#888C2311yescharacteristic
377#887—21no—
378#887—21no—
379#887—21no—
380#887—21no—
381#887—21no—
382#887—21no—
383#887—21no—
384#887—21no—
385#887—21no—
386#887—21no—
387#887—21no—
388#887—21no—
389#887—21no—
390#887C2311yescharacteristic
391#887C2311yescharacteristic
392#887C2311yescharacteristic
393#887C2311yescharacteristic
394#887C2311yescharacteristic
395#876—21no—
396#876—21no—
397#875C2311yescharacteristic
398#875C2311yescharacteristic
399C4×D12—21no—
400C4×D12C2311yescharacteristic
401#872—21no—
402#872—21no—
403#872—21no—
404#872—21no—
405#872—21no—
406#872—21no—
407#872C2311yescharacteristic
408#872C2311yescharacteristic
409C42×D3—21no—
410C42×D3—21no—
411C42×D3C2311yescharacteristic
412#870—21no—
413#870—21no—
414#870—21no—
415#870C2311yescharacteristic
416#870C2311yescharacteristic
417#869—21no—
418#869C2311yescharacteristic
419#869C2311yescharacteristic
420C4×Dic6—21no—
421C4×Dic6—21no—
422C4×Dic6—21no—
423C4×Dic6—21no—
424C4×Dic6—21no—
425C4×Dic6—21no—
426C4×Dic6—21no—
427C4×Dic6—21no—
428C4×Dic6—21no—
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C4×Dic6C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#103C2311yescharacteristic
449C3×#103C2311yescharacteristic
450C3×#103C2311yescharacteristic
451C3×#103C2311yescharacteristic
452C3×#103C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#835C2311yescharacteristic
463#835C2311yescharacteristic
464#835C2311yescharacteristic
465#835C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469#818C2311yescharacteristic
470#818C2311yescharacteristic
471#817C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#815C2311yescharacteristic
480#815C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#810C2311yescharacteristic
497#810C2311yescharacteristic
498#809C2311yescharacteristic
499#809C2311yescharacteristic
500#809C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4⋊(C3⋊C8)C2311yescharacteristic
510#803C2311yescharacteristic
511#803C2311yescharacteristic
512C4×C3⋊C8C2311yescharacteristic
513C2×#137—31no—
514C22×Q16—31no—
515C22×Q16—31no—
516Q82—31no—
517Q82—31no—
518Q82—61no—
519#557—31no—
520#557—31no—
521#557—31no—
522#557—31no—
523#557—31no—
524#557—31no—
525#557—31no—
526#557—31no—
527#557—61no—
528#557—61no—
529#557—61no—
530#557C2×D311yescharacteristic
531#557C2×D311yescharacteristic
532#556—31no—
533#556—31no—
534#556—31no—
535#556—31no—
536#552—61no—
537#552—61no—
538#552—61no—
539#552—61no—
540#544—31no—
541#544—31no—
542#544—61no—
543#544—61no—
544#541—61no—
545#541—61no—
546#536—31no—
547#536—31no—
548#533—31no—
549#533—31no—
550#533—61no—
551#533—61no—
552#533—61no—
553#533—61no—
554C2×C4⋊Q8—31no—
555#519—31no—
556#519—31no—
557#519—31no—
558#519—31no—
559C4×#41—31no—
560C2×C4×Q8—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#491—31no—
565#491—31no—
566#491—31no—
567#491C2×D311yescharacteristic
568#491C2×D311yescharacteristic
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#487—31no—
579#487—31no—
580#487—31no—
581#487—31no—
582#487—31no—
583#487—31no—
584#487C2×D311yescharacteristic
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#479—31no—
592#479—31no—
593#479C2×D311yescharacteristic
594#479C2×D311yescharacteristic
595#478—31no—
596#478—31no—
597#477—31no—
598#477—31no—
599#477—31no—
600#477—31no—
601#477—31no—
602#476—31no—
603#475—31no—
604#475—31no—
605#475—31no—
606#475—31no—
607#475C2×D311yescharacteristic
608#474—31no—
609#464—31no—
610#464—31no—
611#464—31no—
612#464—31no—
613#464—31no—
614#464—31no—
615#464—31no—
616#464—31no—
617#462—31no—
618#462—31no—
619#462—31no—
620#462—31no—
621#462—31no—
622#462—31no—
623#462—31no—
624#462—31no—
625#462—31no—
626#462—31no—
627#462—31no—
628#462—31no—
629#462—31no—
630#462C2×D311yescharacteristic
631#462C2×D311yescharacteristic
632#462C2×D311yescharacteristic
633#446—31no—
634#446—31no—
635#446—31no—
636#446—31no—
637#446—31no—
638#446C2×D311yescharacteristic
639C8×Q8—31no—
640C8×Q8—31no—
641#441—31no—
642#441—31no—
643#441—31no—
644#441—31no—
645#441—31no—
646#441—31no—
647#441—31no—
648#441—31no—
649#441C2×D311yescharacteristic
650#441C2×D311yescharacteristic
651#440—31no—
652#440—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×Q16—31no—
656C4×Q16—31no—
657C4×Q16—31no—
658C4×Q16—31no—
659C4×Q16—31no—
660C4×Q16—31no—
661C4×Q16—31no—
662C4×Q16C2×D311yescharacteristic
663C4×SD16—31no—
664C4×SD16—31no—
665#428—31no—
666#427—31no—
667#427—31no—
668#424—31no—
669#424—31no—
670C2×C4⋊C8—31no—
671#419—31no—
672#419—31no—
673#419—31no—
674#419—31no—
675#419—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#103—31no—
680C2×#103—31no—
681#405—31no—
682#405—31no—
683C4×M16—31no—
684C2×C3×Q8—21no—
685C2×C3×Q8C2×D411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687C2×C3×Q8C2411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690#239—22no—
691#239—22no—
692D3×Q8—22no—
693D3×Q8—22no—
694D3×Q8—22no—
695D3×Q8—22no—
696D3×Q8—22no—
697D3×Q8#4114yes—
698C2×D12—21no—
699C2×D12C2411yescharacteristic
700C2×C4×D3—21no—
701C2×C4×D3—21no—
702C2×C4×D3—21no—
703C2×C4×D3—21no—
704C2×C4×D3—21no—
705C2×C4×D3—21no—
706C2×C4×D3—21no—
707C2×C4×D3C2×D411yescharacteristic
708C2×C4×D3C2×D411yescharacteristic
709C2×C4×D3C2411yescharacteristic
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6—21no—
714C2×Dic6—21no—
715C2×Dic6—21no—
716C2×Dic6—21no—
717C2×Dic6—21no—
718C2×Dic6C2×D411yescharacteristic
719C2×Dic6C2×D411yescharacteristic
720C2×Dic6C2×D411yescharacteristic
721C2×Dic6C2411yescharacteristic
722C2×Dic6C2411yescharacteristic
723C2×Dic6C2411yescharacteristic
724C3×Q16—22no—
725C3×Q16—22no—
726C3×Q16—22no—
727C2×C3×C8C2411yescharacteristic
728C2×C3×C8C2411yescharacteristic
729C2×C3×C8C2411yescharacteristic
730C2×C3×C8C2411yescharacteristic
731C3×C4⋊C4—21no—
732C3×C4⋊C4—21no—
733C3×C4⋊C4—21no—
734C3×C4⋊C4—21no—
735C3×C4⋊C4—21no—
736C3×C4⋊C4—21no—
737C3×C4⋊C4—21no—
738C3×C4⋊C4—21no—
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
741C3×C4⋊C4—21no—
742C3×C4⋊C4—21no—
743C3×C4⋊C4—21no—
744C3×C4⋊C4—21no—
745C3×C4⋊C4—21no—
746C3×C4⋊C4—21no—
747C3×C4⋊C4—21no—
748C3×C4⋊C4C2×D411yescharacteristic
749C3×C4⋊C4C2×D411yescharacteristic
750C3×C4⋊C4C2×D411yescharacteristic
751C3×C4⋊C4C2411yescharacteristic
752C3×C4⋊C4C2411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C42—21no—
756C3×C42—21no—
757C3×C42—21no—
758C3×C42—21no—
759C3×C42—21no—
760C3×C42—21no—
761C3×C42C2411yescharacteristic
762C3×C42C2411yescharacteristic
763C3×C42C2411yescharacteristic
764#216—22no—
765#216—22no—
766#216—22no—
767#216—22no—
768#216—22no—
769#215—22no—
770(C2×D3)⋊C4—21no—
771(C2×D3)⋊C4—21no—
772(C2×D3)⋊C4—21no—
773(C2×D3)⋊C4—21no—
774(C2×D3)⋊C4—21no—
775(C2×D3)⋊C4—21no—
776(C2×D3)⋊C4—21no—
777(C2×D3)⋊C4—21no—
778(C2×D3)⋊C4—21no—
779(C2×D3)⋊C4—21no—
780(C2×D3)⋊C4—21no—
781(C2×D3)⋊C4—21no—
782(C2×D3)⋊C4—21no—
783(C2×D3)⋊C4C2×D411yescharacteristic
784(C2×D3)⋊C4C2×D411yescharacteristic
785(C2×D3)⋊C4C2×D411yescharacteristic
786(C2×D3)⋊C4C2×D411yescharacteristic
787C4⋊Dic3—21no—
788C4⋊Dic3—21no—
789C4⋊Dic3—21no—
790C4⋊Dic3—21no—
791C4⋊Dic3—21no—
792C4⋊Dic3—21no—
793C4⋊Dic3—21no—
794C4⋊Dic3—21no—
795C4⋊Dic3—21no—
796C4⋊Dic3—21no—
797C4⋊Dic3—21no—
798C4⋊Dic3C2×D411yescharacteristic
799C4⋊Dic3C2×D411yescharacteristic
800C4⋊Dic3C2×D411yescharacteristic
801C4⋊Dic3C2411yescharacteristic
802C4⋊Dic3C2411yescharacteristic
803C4⋊Dic3C2411yescharacteristic
804C4⋊Dic3C2411yescharacteristic
805Dic3⋊C4—21no—
806Dic3⋊C4—21no—
807Dic3⋊C4—21no—
808Dic3⋊C4—21no—
809Dic3⋊C4—21no—
810Dic3⋊C4—21no—
811Dic3⋊C4—21no—
812Dic3⋊C4—21no—
813Dic3⋊C4—21no—
814Dic3⋊C4—21no—
815Dic3⋊C4—21no—
816Dic3⋊C4—21no—
817Dic3⋊C4—21no—
818Dic3⋊C4—21no—
819Dic3⋊C4—21no—
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4C2×D411yescharacteristic
835Dic3⋊C4C2×D411yescharacteristic
836Dic3⋊C4C2×D411yescharacteristic
837Dic3⋊C4C2×D411yescharacteristic
838Dic3⋊C4C2×D411yescharacteristic
839Dic3⋊C4C2×D411yescharacteristic
840Dic3⋊C4C2×D411yescharacteristic
841Dic3⋊C4C2×D411yescharacteristic
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
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×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3—21no—
863C4×Dic3C2×D411yescharacteristic
864C4×Dic3C2×D411yescharacteristic
865C4×Dic3C2411yescharacteristic
866C4×Dic3C2411yescharacteristic
867C4×Dic3C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870C2×C3⋊C8C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872Dic12—22no—
873Dic12—22no—
874#204—22no—
875ΓL(1,𝔽25)—22no—
876ΓL(1,𝔽25)—22no—
877D3×C8—22no—
878D3×C8—22no—
879C2×#41—31no—
880C22×Q8—31no—
881C22×Q8—31no—
882C22×Q8—31no—
883#137—64no—
884C2×Q16—31no—
885C2×Q16—31no—
886C2×Q16—31no—
887C2×Q16—31no—
888C2×Q16—31no—
889C2×Q16—31no—
890C2×Q16—31no—
891C2×Q16—64no—
892C2×Q16—64no—
893C2×Q16C22×D311yescharacteristic
894C2×Q16C22×D311yescharacteristic
895C2×Q16C22×D311yescharacteristic
896C2×SD16—31no—
897C2×SD16—31no—
898C2×M16—31no—
899C2×M16—31no—
900C22×C8—31no—
901C22×C8—31no—
902C4⋊Q8—21no—
903C4⋊Q8—31no—
904C4⋊Q8—31no—
905C4⋊Q8—31no—
906C4⋊Q8—31no—
907C4⋊Q8—31no—
908C4⋊Q8—31no—
909C4⋊Q8—31no—
910C4⋊Q8—31no—
911C4⋊Q8—31no—
912C4⋊Q8—31no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—61no—
916C4⋊Q8—61no—
917C4⋊Q8—61no—
918C4⋊Q8—61no—
919C4⋊Q8—61no—
920C4⋊Q8—61no—
921C4⋊Q8—61no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8—61no—
928C4⋊Q8—61no—
929C4⋊Q8—61no—
930C4⋊Q8C22×D311yescharacteristic
931C4⋊Q8C22×D311yescharacteristic
932C4⋊Q8C22×D311yescharacteristic
933C4⋊Q8C22×D311yescharacteristic
934#126—61no—
935#126—61no—
936#126—61no—
937#126—61no—
938#126—61no—
939#126—61no—
940#126—61no—
941#126—61no—
942#125—21no—
943#125—21no—
944#125—21no—
945#125—21no—
946#125—21no—
947#125—31no—
948#125—31no—
949#125—31no—
950#125—31no—
951#125—31no—
952#125—31no—
953#125—61no—
954#125—61no—
955#125—61no—
956#125—61no—
957#125—61no—
958#125—61no—
959#125—61no—
960#125—61no—
961#125—61no—
962#125—61no—
963#125—61no—
964#125—61no—
965#125—61no—
966#125—61no—
967#125—61no—
968#125—61no—
969#125—61no—
970#125—61no—
971#125—61no—
972#125—61no—
973#125—61no—
974#125C22×D311yescharacteristic
975#125C22×D311yescharacteristic
976#124—31no—
977#124—31no—
978#124—31no—
979#124—31no—
980#123—61no—
981#123—61no—
982#123—61no—
983#123—61no—
984C22⋊Q8—31no—
985C22⋊Q8—31no—
986C22⋊Q8—31no—
987C22⋊Q8—31no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8—61no—
997C22⋊Q8—61no—
998C22⋊Q8—61no—
999C22⋊Q8—61no—
1000C22⋊Q8—61no—
1001C22⋊Q8—61no—
1002C4×Q8—21no—
1003C4×Q8—21no—
1004C4×Q8—31no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
1008C4×Q8—31no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—31no—
1019C4×Q8—31no—
1020C4×Q8—31no—
1021C4×Q8—31no—
1022C4×Q8—31no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8—61no—
1028C4×Q8—61no—
1029C4×Q8—61no—
1030C4×Q8—61no—
1031C4×Q8—61no—
1032C4×Q8—61no—
1033C4×Q8—61no—
1034C4×Q8—61no—
1035C4×Q8—61no—
1036C4×Q8—61no—
1037C4×Q8—61no—
1038C4×Q8—61no—
1039C4×Q8—61no—
1040C4×Q8—61no—
1041C4×Q8—61no—
1042C4×Q8—61no—
1043C4×Q8—61no—
1044C4×Q8—61no—
1045C4×Q8C22×D311yescharacteristic
1046C4×Q8C22×D311yescharacteristic
1047C4×Q8C22×D311yescharacteristic
1048C4×Q8C22×D311yescharacteristic
1049C4×Q8C22×D311yescharacteristic
1050C4×Q8C22×D311yescharacteristic
1051C4×Q8C22×D311yescharacteristic
1052C4×D4—31no—
1053C4×D4—31no—
1054C4×D4—61no—
1055C4×D4—61no—
1056#117—31no—
1057#117—31no—
1058#117—31no—
1059#117—31no—
1060#117—31no—
1061#117—61no—
1062#117—61no—
1063#117—61no—
1064#117—61no—
1065#117—61no—
1066#117—61no—
1067#117—61no—
1068#117—61no—
1069#117—61no—
1070#117—61no—
1071#117—61no—
1072#117—61no—
1073#117—61no—
1074C2×C4⋊C4—31no—
1075C2×C4⋊C4—61no—
1076C2×C4⋊C4—61no—
1077C2×C4⋊C4—61no—
1078C2×C42—31no—
1079C2×C42—61no—
1080C2×C42—61no—
1081#107—31no—
1082#107—31no—
1083#107—31no—
1084#107—31no—
1085#107—31no—
1086#107C22×D311yescharacteristic
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106—31no—
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
1093C4⋊C8—31no—
1094C4⋊C8—31no—
1095C4⋊C8—31no—
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8C22×D311yescharacteristic
1103C4⋊C8C22×D311yescharacteristic
1104C4⋊C8C22×D311yescharacteristic
1105#103—31no—
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103—31no—
1123#103—31no—
1124#103—31no—
1125#103—31no—
1126#103—31no—
1127#103—31no—
1128#103—31no—
1129#103C22×D311yescharacteristic
1130#103C22×D311yescharacteristic
1131#103C22×D311yescharacteristic
1132#103C22×D311yescharacteristic
1133#103C22×D311yescharacteristic
1134#103C22×D311yescharacteristic
1135#103C22×D311yescharacteristic
1136#103C22×D311yescharacteristic
1137#103C22×D311yescharacteristic
1138#103C22×D311yescharacteristic
1139#102—31no—
1140#102—31no—
1141#102—31no—
1142#102—31no—
1143#102—31no—
1144#102—31no—
1145#97—31no—
1146#97—31no—
1147#97—31no—
1148#97—31no—
1149#97C22×D311yescharacteristic
1150#97C22×D311yescharacteristic
1151C4×C8—31no—
1152C4×C8—31no—
1153C4×C8—31no—
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8C22×D311yescharacteristic
1157C22×D3—21no—
1158C22×D3C22×D411yescharacteristic
1159C3×Q8—21no—
1160C3×Q8—21no—
1161C3×Q8—21no—
1162C3×Q8—21no—
1163C3×Q8—21no—
1164C3×Q8—21no—
1165C3×Q8—21no—
1166C3×Q8—41no—
1167C3×Q8—81no—
1168C3×Q8C2×#4112yes—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4C22×D411yescharacteristic
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C22×D411yescharacteristic
1180C2×C3×C4C22×D411yescharacteristic
1181C2×C3×C4C22×D411yescharacteristic
1182C2×C3×C4C22×D411yescharacteristic
1183C2×C3×C4C2511yescharacteristic
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3C22×D411yescharacteristic
1192C2×Dic3C22×D411yescharacteristic
1193C2×Dic3C22×D411yescharacteristic
1194C2×Dic3C22×D411yescharacteristic
1195C2×Dic3C22×D411yescharacteristic
1196C2×Dic3C22×D411yescharacteristic
1197C2×Dic3C22×D411yescharacteristic
1198D12—21no—
1199D12—21no—
1200D12—42no—
1201C4×D3—24no—
1202C4×D3—22no—
1203C4×D3—41no—
1204C4×D3—42no—
1205C4×D3—42no—
1206C4×D3—42no—
1207C4×D3—42no—
1208C4×D3—42no—
1209C4×D3—81no—
1210C4×D3C2×#4112yes—
1211C4×D32−1+412yes—
1212Dic6—21no—
1213Dic6—24no—
1214Dic6—22no—
1215Dic6—22no—
1216Dic6—21no—
1217Dic6—21no—
1218Dic6—21no—
1219Dic6—21no—
1220Dic6—41no—
1221Dic6—42no—
1222Dic6—42no—
1223Dic6—42no—
1224Dic6—81no—
1225Dic6—81no—
1226Dic6—81no—
1227Dic6—81no—
1228Dic6C2×#4112yes—
1229C3×C8—21no—
1230C3×C8—21no—
1231C3×C8—21no—
1232C3×C8—21no—
1233C3⋊C8—21no—
1234C3⋊C8—21no—
1235C3⋊C8—21no—
1236C3⋊C8—21no—
1237#41—62no—
1238#41—62no—
1239C2×Q8—21no—
1240C2×Q8—31no—
1241C2×Q8—31no—
1242C2×Q8—31no—
1243C2×Q8—34no—
1244C2×Q8—31no—
1245C2×Q8—31no—
1246C2×Q8—31no—
1247C2×Q8—61no—
1248C2×Q8—61no—
1249C2×Q8—61no—
1250C2×Q8—61no—
1251C2×Q8—61no—
1252C2×Q8—61no—
1253C2×Q8—61no—
1254C2×Q8—62no—
1255C2×Q8—62no—
1256C2×Q8—62no—
1257C2×Q8—62no—
1258C2×Q8—62no—
1259C2×Q8—61no—
1260C2×Q8D3×D411yescharacteristic
1261C2×Q8C23×D311yescharacteristic
1262C2×Q8C23×D311yescharacteristic
1263C2×Q8C23×D311yescharacteristic
1264C2×Q8C23×D311yescharacteristic
1265C2×D4—31no—
1266C2×D4—61no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—61no—
1271C22×C4—61no—
1272C22×C4—61no—
1273C22×C4—61no—
1274C22×C4—61no—
1275C22×C4—61no—
1276C22×C4—61no—
1277Q16—22no—
1278Q16—22no—
1279Q16—22no—
1280Q16—62no—
1281Q16—62no—
1282Q16—62no—
1283Q16—62no—
1284Q16—62no—
1285Q16—62no—
1286Q16—62no—
1287SD16—62no—
1288SD16—62no—
1289M16—62no—
1290M16—62no—
1291C2×C8—31no—
1292C2×C8—31no—
1293C2×C8—31no—
1294C2×C8—31no—
1295C2×C8—62no—
1296C2×C8—62no—
1297C2×C8C23×D311yescharacteristic
1298C2×C8C23×D311yescharacteristic
1299C2×C8C23×D311yescharacteristic
1300C2×C8C23×D311yescharacteristic
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—31no—
1319C4⋊C4—31no—
1320C4⋊C4—31no—
1321C4⋊C4—31no—
1322C4⋊C4—31no—
1323C4⋊C4—31no—
1324C4⋊C4—31no—
1325C4⋊C4—31no—
1326C4⋊C4—31no—
1327C4⋊C4—31no—
1328C4⋊C4—31no—
1329C4⋊C4—31no—
1330C4⋊C4—31no—
1331C4⋊C4—31no—
1332C4⋊C4—31no—
1333C4⋊C4—31no—
1334C4⋊C4—31no—
1335C4⋊C4—61no—
1336C4⋊C4—61no—
1337C4⋊C4—61no—
1338C4⋊C4—61no—
1339C4⋊C4—61no—
1340C4⋊C4—61no—
1341C4⋊C4—61no—
1342C4⋊C4—61no—
1343C4⋊C4—61no—
1344C4⋊C4—61no—
1345C4⋊C4—61no—
1346C4⋊C4—61no—
1347C4⋊C4—61no—
1348C4⋊C4—61no—
1349C4⋊C4—61no—
1350C4⋊C4—61no—
1351C4⋊C4—61no—
1352C4⋊C4—61no—
1353C4⋊C4—61no—
1354C4⋊C4—61no—
1355C4⋊C4—61no—
1356C4⋊C4—61no—
1357C4⋊C4—61no—
1358C4⋊C4—61no—
1359C4⋊C4—61no—
1360C4⋊C4—61no—
1361C4⋊C4—61no—
1362C4⋊C4—61no—
1363C4⋊C4—61no—
1364C4⋊C4—61no—
1365C4⋊C4—61no—
1366C4⋊C4—61no—
1367C4⋊C4—61no—
1368C4⋊C4—61no—
1369C4⋊C4—61no—
1370C4⋊C4—61no—
1371C4⋊C4—61no—
1372C4⋊C4—61no—
1373C4⋊C4—61no—
1374C4⋊C4—61no—
1375C4⋊C4D3×D411yescharacteristic
1376C4⋊C4D3×D411yescharacteristic
1377C4⋊C4D3×D411yescharacteristic
1378C4⋊C4C23×D311yescharacteristic
1379C4⋊C4C23×D311yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C22⋊C4—31no—
1383C22⋊C4—31no—
1384C22⋊C4—31no—
1385C22⋊C4—31no—
1386C22⋊C4—61no—
1387C22⋊C4—61no—
1388C22⋊C4—61no—
1389C22⋊C4—61no—
1390C22⋊C4—61no—
1391C22⋊C4—61no—
1392C22⋊C4—61no—
1393C22⋊C4—61no—
1394C22⋊C4—61no—
1395C22⋊C4—61no—
1396C22⋊C4—61no—
1397C22⋊C4—61no—
1398C22⋊C4—61no—
1399C42—21no—
1400C42—21no—
1401C42—21no—
1402C42—21no—
1403C42—21no—
1404C42—21no—
1405C42—31no—
1406C42—31no—
1407C42—31no—
1408C42—31no—
1409C42—31no—
1410C42—61no—
1411C42—61no—
1412C42—61no—
1413C42—61no—
1414C42—61no—
1415C42—61no—
1416C42—61no—
1417C42—61no—
1418C42—61no—
1419C42—61no—
1420C42—61no—
1421C42—61no—
1422C42—61no—
1423C42—61no—
1424C42—61no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42C23×D311yescharacteristic
1430C42C23×D311yescharacteristic
1431C42C23×D311yescharacteristic
1432C22×C3C23×D411yescharacteristic
1433C2×D3—21no—
1434C2×D3—21no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3#54812yes—
1439C3×C4—21no—
1440C3×C4—21no—
1441C3×C4—21no—
1442C3×C4—22no—
1443C3×C4—21no—
1444C3×C4—21no—
1445C3×C4—21no—
1446C3×C4—41no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451C3×C4—41no—
1452C3×C4—41no—
1453C3×C4C22×#4111yescharacteristic
1454C3×C4C2×2−1+411yescharacteristic
1455Dic3—21no—
1456Dic3—21no—
1457Dic3—21no—
1458Dic3—22no—
1459Dic3—21no—
1460Dic3—21no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3#54812yes—
1468Dic3#57812yes—
1469C23—31no—
1470C23—61no—
1471Q8—21no—
1472Q8—21no—
1473Q8—21no—
1474Q8—21no—
1475Q8—21no—
1476Q8—21no—
1477Q8—21no—
1478Q8—32no—
1479Q8—41no—
1480Q8—64no—
1481Q8—62no—
1482Q8—62no—
1483Q8—61no—
1484Q8—61no—
1485Q8—61no—
1486Q8—61no—
1487Q8—61no—
1488Q8—81no—
1489Q8—121no—
1490Q8—122no—
1491Q8—122no—
1492Q8—122no—
1493Q8—241no—
1494Q8—241no—
1495Q8—241no—
1496Q8—241no—
1497Q8D3×#4112yes—
1498D4—61no—
1499D4—61no—
1500D4—122no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—31no—
1510C2×C4—31no—
1511C2×C4—32no—
1512C2×C4—32no—
1513C2×C4—31no—
1514C2×C4—31no—
1515C2×C4—31no—
1516C2×C4—31no—
1517C2×C4—31no—
1518C2×C4—62no—
1519C2×C4—64no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—121no—
1528C2×C4—122no—
1529C2×C4—122no—
1530C2×C4—122no—
1531C2×C4—122no—
1532C2×C4—122no—
1533C2×C4—241no—
1534C2×C4C2×D3×D411yescharacteristic
1535C2×C4C2×D3×D411yescharacteristic
1536C2×C4C2×D3×D411yescharacteristic
1537C2×C4C2×D3×D411yescharacteristic
1538C2×C4C2×D3×D411yescharacteristic
1539C2×C4C2×D3×D411yescharacteristic
1540C2×C4C24×D311yescharacteristic
1541C8—21no—
1542C8—21no—
1543C8—21no—
1544C8—21no—
1545C8—61no—
1546C8—61no—
1547C8—61no—
1548C8—61no—
1549C2×C3C2×#54811yescharacteristic
1550C2×C3C2×#57811yescharacteristic
1551C2×C3#358611yescharacteristic
1552D3—22no—
1553D3—81no—
1554C22—32no—
1555C22—61no—
1556C22—61no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22C22×D3×D411yescharacteristic
1561C4—21no—
1562C4—21no—
1563C4—21no—
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—22no—
1568C4—32no—
1569C4—32no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—61no—
1578C4—61no—
1579C4—61no—
1580C4—61no—
1581C4—61no—
1582C4—62no—
1583C4—121no—
1584C4—121no—
1585C4—121no—
1586C4—121no—
1587C4—121no—
1588C4—121no—
1589C4C2×D3×#4111yescharacteristic
1590C4D3×2−1+411yescharacteristic
1591C3#6134211yescharacteristic, complemented, Sylow
1592C2—62no—
1593C2—241no—
1594C2D3×#54811yescharacteristic
1595C2#8719711yescharacteristic
1596C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3374C2
socleC22×C3C23×D4
prime radicalC2×#239C23
hypercenter#3374D3
hypocenterC3#61342
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3374

Complements

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

NH ≅ G/Ntype
1. #87032C2semidirect
3. C3×#3374C2semidirect
4. #83700C2semidirect
5. #83699C2semidirect
6. #81739C2semidirect
8. #81735C2semidirect
9. #81733C2semidirect
10. #81624C2semidirect
12. #81232C2semidirect
14. #81220C2semidirect
15. #81216C2semidirect
16. #81013C2semidirect
17. #81004C2semidirect
20. D3×#462C2semidirect
21. #80467C2semidirect
22. #80466C2semidirect
23. #80462C2semidirect
24. #79985C2semidirect
25. #79961C2semidirect
26. #79831C2semidirect
28. #79817C2semidirect
29. #79815C2semidirect
30. #79720C2semidirect
31. #79700C2semidirect
215. #3374D3semidirect
1591. C3#61342semidirect

Maximal subgroups

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

subgroupindex
#870322
#870202
C3×#33742
#837002
#836992
#817392
#817382
#817352
#817332
#816242
#815992
#812322
#812292
#812202
#812162
#810132
#810042
#804782
D3×#4622
#804672
#804662
#804622
#799852
#799612
#798312
#798292
#798172
#798152
#797202
#797002
#613423