Finite Group Databasebeta

← #11675798

Subgroups — #11675798

Order 768.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#557C211yesmaximal, characteristic, complemented
2#87015C211yesmaximal, characteristic
3C3×#3390C211yesmaximal, characteristic, complemented
4#83695C211yesmaximal, characteristic, complemented
5#83684C211yesmaximal, characteristic, complemented
6#81977C211yesmaximal, characteristic, complemented
7#81976C211yesmaximal, characteristic, complemented
8#81968C211yesmaximal, characteristic, complemented
9#81966C211yesmaximal, characteristic, complemented
10#81919C211yesmaximal, characteristic, complemented
11#81913C211yesmaximal, characteristic, complemented
12#81231C211yesmaximal, characteristic
13#81231C211yesmaximal, characteristic
14#81230C211yesmaximal, characteristic, complemented
15#81230C211yesmaximal, characteristic, complemented
16#81225C211yesmaximal, characteristic, complemented
17#81224C211yesmaximal, characteristic, complemented
18#81222C211yesmaximal, characteristic, complemented
19#81221C211yesmaximal, characteristic, complemented
20#81109C211yesmaximal, characteristic
21#81108C211yesmaximal, characteristic, complemented
22#81105C211yesmaximal, characteristic, complemented
23#81103C211yesmaximal, characteristic, complemented
24#79978C211yesmaximal, characteristic, complemented
25#79962C211yesmaximal, characteristic, complemented
26#79829C211yesmaximal, characteristic
27#79829C211yesmaximal, characteristic
28#79820C211yesmaximal, characteristic, complemented
29#79819C211yesmaximal, characteristic, complemented
30C4×#918C211yesmaximal, characteristic
31#79707C211yesmaximal, characteristic, complemented
32#61369—31nomaximal, Sylow
33C3×#557C2211yescharacteristic
34C3×#557C2211yescharacteristic
35C2×#918C2211yescharacteristic
36#5728—21no—
37#5728C2211yescharacteristic
38#5727—21no—
39#5727C2211yescharacteristic
40D3×C4⋊Q8—21no—
41D3×C4⋊Q8C2211yescharacteristic
42#5721—21no—
43#5721C2211yescharacteristic
44#5690—21no—
45#5690—21no—
46#5690C2211yescharacteristic
47#5690C2211yescharacteristic
48#5688—21no—
49#5688—21no—
50#5688C2211yescharacteristic
51#5688C2211yescharacteristic
52D3×#125—21no—
53D3×#125—21no—
54D3×#125C2211yescharacteristic
55D3×#125C2211yescharacteristic
56#5685—21no—
57#5685—21no—
58#5685C2211yescharacteristic
59#5685C2211yescharacteristic
60#5579—21no—
61#5579C2211yescharacteristic
62C4×#239C2211yescharacteristic
63C4×#239C2211yescharacteristic
64C4×#239C2211yescharacteristic
65C4×D3×Q8—21no—
66C4×D3×Q8—21no—
67C4×D3×Q8C2211yescharacteristic
68C4×D3×Q8C2211yescharacteristic
69C4×D3×Q8C2211yescharacteristic
70C4×D3×Q8C2211yescharacteristic
71#5570C2211yescharacteristic
72#5569C2211yescharacteristic
73#5569C2211yescharacteristic
74#5569C2211yescharacteristic
75#5569C2211yescharacteristic
76#5567—21no—
77#5567C2211yescharacteristic
78Q8×Dic6C2211yescharacteristic
79C3×#501C2211yescharacteristic
80C3×#501C2211yescharacteristic
81C3×#499C2211yescharacteristic
82C3×#479C2211yescharacteristic
83C3×#479C2211yescharacteristic
84C3×#479C2211yescharacteristic
85C3×#479C2211yescharacteristic
86C3×#477C2211yescharacteristic
87C3×#477C2211yescharacteristic
88C3×#446C2211yescharacteristic
89C3×#441C2211yescharacteristic
90C3×#441C2211yescharacteristic
91C3×C4×Q16C2211yescharacteristic
92#5184C2211yescharacteristic
93Dic3×Q16C2211yescharacteristic
94Dic3×Q16C2211yescharacteristic
95#5091C2211yescharacteristic
96#5084C2211yescharacteristic
97#5081C2211yescharacteristic
98#5081C2211yescharacteristic
99#5066C2211yescharacteristic
100#5066C2211yescharacteristic
101#5065C2211yescharacteristic
102#5065C2211yescharacteristic
103#5064C2211yescharacteristic
104#5064C2211yescharacteristic
105#5063C2211yescharacteristic
106#5063C2211yescharacteristic
107#5030C2211yescharacteristic
108#5030C2211yescharacteristic
109C4×#216C2211yescharacteristic
110#5026C2211yescharacteristic
111#5026C2211yescharacteristic
112C4×#215C2211yescharacteristic
113#5024C2211yescharacteristic
114#5022C2211yescharacteristic
115#5022C2211yescharacteristic
116#5022C2211yescharacteristic
117#5022C2211yescharacteristic
118#5021C2211yescharacteristic
119#5020C2211yescharacteristic
120#4891C2211yescharacteristic
121#4891C2211yescharacteristic
122#4890C2211yescharacteristic
123#4890C2211yescharacteristic
124#4889C2211yescharacteristic
125#4881C2211yescharacteristic
126#4881C2211yescharacteristic
127#4881C2211yescharacteristic
128#4881C2211yescharacteristic
129#4881C2211yescharacteristic
130#4878C2211yescharacteristic
131#4878C2211yescharacteristic
132#4877C2211yescharacteristic
133#4877C2211yescharacteristic
134#4876C2211yescharacteristic
135#4876C2211yescharacteristic
136#4875C2211yescharacteristic
137#4875C2211yescharacteristic
138#4874C2211yescharacteristic
139#4874C2211yescharacteristic
140#4871C2211yescharacteristic
141#4871C2211yescharacteristic
142#4861C2211yescharacteristic
143#4861C2211yescharacteristic
144#4861C2211yescharacteristic
145#4861C2211yescharacteristic
146#4858C2211yescharacteristic
147#4858C2211yescharacteristic
148#4856C2211yescharacteristic
149#4856C2211yescharacteristic
150#4855C2211yescharacteristic
151#4855C2211yescharacteristic
152#4854C2211yescharacteristic
153#4854C2211yescharacteristic
154#4852C2211yescharacteristic
155#4852C2211yescharacteristic
156#4851C2211yescharacteristic
157#4847C2211yescharacteristic
158#4847C2211yescharacteristic
159#4842C2211yescharacteristic
160#4837C2211yescharacteristic
161#4837C2211yescharacteristic
162#4837C2211yescharacteristic
163#4830C2211yescharacteristic
164#4829C2211yescharacteristic
165#4829C2211yescharacteristic
166#4828C2211yescharacteristic
167#4828C2211yescharacteristic
168#4817C2211yescharacteristic
169#4803C2211yescharacteristic
170#4803C2211yescharacteristic
171#4803C2211yescharacteristic
172#4802C2211yescharacteristic
173#4802C2211yescharacteristic
174#4802C2211yescharacteristic
175#4799C2211yescharacteristic
176#4799C2211yescharacteristic
177#4799C2211yescharacteristic
178#4799C2211yescharacteristic
179#4796C2211yescharacteristic
180#4796C2211yescharacteristic
181#4793C2211yescharacteristic
182#4793C2211yescharacteristic
183#4791C2211yescharacteristic
184#4791C2211yescharacteristic
185#4791C2211yescharacteristic
186#4791C2211yescharacteristic
187#4790C2211yescharacteristic
188#4790C2211yescharacteristic
189#4789C2211yescharacteristic
190#4788C2211yescharacteristic
191#4788C2211yescharacteristic
192#4710C2211yescharacteristic
193#4710C2211yescharacteristic
194#4707C2211yescharacteristic
195#4707C2211yescharacteristic
196#4702C2211yescharacteristic
197#4702C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×#204C2211yescharacteristic
201C4×ΓL(1,𝔽25)C2211yescharacteristic
202#4683C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204Q8×#41—31no—
205C2×#557—31no—
206#3390—31no—
207#3390—31no—
208#3390—31no—
209#3390D311yescharacteristic, complemented
210#3388—31no—
211#3388—31no—
212#3388—31no—
213#3388—31no—
214#3387—31no—
215#3387—31no—
216#3386—31no—
217#3386—31no—
218#3383—31no—
219#3383—31no—
220#3381—31no—
221#3381—31no—
222#3166—31no—
223#3166—31no—
224#3165—31no—
225#3080—31no—
226#3080—31no—
227#3079—31no—
228#3078—31no—
229#3078—31no—
230#3078—31no—
231Q8×M16—31no—
232C4×#137—31no—
233C4×#137—31no—
234C4×#137—31no—
235C2×#239C2311yescharacteristic
236C2×D3×Q8—21no—
237C2×D3×Q8—21no—
238C2×D3×Q8D411yescharacteristic
239C2×D3×Q8C2311yescharacteristic
240C2×C3×Q16C2311yescharacteristic
241C3×C4⋊Q8—21no—
242C3×C4⋊Q8—21no—
243C3×C4⋊Q8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×#125—21no—
246C3×#125—21no—
247C3×#125—21no—
248C3×#125—21no—
249C3×#125C2311yescharacteristic
250C3×#125C2311yescharacteristic
251C3×#125C2311yescharacteristic
252C3×#125C2311yescharacteristic
253C3×C4×Q8—21no—
254C3×C4×Q8—21no—
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×Q8C2311yescharacteristic
262#946—21no—
263#946—21no—
264#946—21no—
265Q8×Dic3—21no—
266Q8×Dic3—21no—
267Q8×Dic3D411yescharacteristic
268Q8×Dic3C2311yescharacteristic
269Q8×Dic3C2311yescharacteristic
270Q8×Dic3C2311yescharacteristic
271Q8×Dic3C2311yescharacteristic
272Q8×Dic3C2311yescharacteristic
273Q8×Dic3C2311yescharacteristic
274#944—21no—
275#944—21no—
276#944—21no—
277C2×#216C2311yescharacteristic
278C2×#215C2311yescharacteristic
279#918Q818yescomplemented
280C2×#204C2311yescharacteristic
281C2×ΓL(1,𝔽25)C2311yescharacteristic
282C2×ΓL(1,𝔽25)C2311yescharacteristic
283C2×ΓL(1,𝔽25)C2311yescharacteristic
284C2×ΓL(1,𝔽25)C2311yescharacteristic
285#897—21no—
286#897—21no—
287#897—21no—
288#896—21no—
289#896—21no—
290#896—21no—
291#896—21no—
292#896—21no—
293#896—21no—
294#896—21no—
295#896—21no—
296#896—21no—
297#896—21no—
298#896—21no—
299#896—21no—
300#893—21no—
301#893—21no—
302#893—21no—
303#893C2311yescharacteristic
304#893C2311yescharacteristic
305#893C2311yescharacteristic
306#892—21no—
307#892—21no—
308#892—21no—
309#892C2311yescharacteristic
310#892C2311yescharacteristic
311#892C2311yescharacteristic
312D3×C4⋊C4—21no—
313D3×C4⋊C4—21no—
314D3×C4⋊C4—21no—
315D3×C4⋊C4—21no—
316D3×C4⋊C4—21no—
317D3×C4⋊C4—21no—
318D3×C4⋊C4—21no—
319D3×C4⋊C4—21no—
320D3×C4⋊C4—21no—
321D3×C4⋊C4—21no—
322D3×C4⋊C4—21no—
323D3×C4⋊C4D411yescharacteristic
324D3×C4⋊C4D411yescharacteristic
325D3×C4⋊C4D411yescharacteristic
326D3×C4⋊C4C2311yescharacteristic
327D3×C4⋊C4C2311yescharacteristic
328D3×C4⋊C4C2311yescharacteristic
329#890—21no—
330#890—21no—
331#890—21no—
332#890—21no—
333#890—21no—
334#890—21no—
335#890C2311yescharacteristic
336#890C2311yescharacteristic
337#890C2311yescharacteristic
338#890C2311yescharacteristic
339#890C2311yescharacteristic
340#890C2311yescharacteristic
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#889—21no—
351#889—21no—
352#889—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#888—21no—
362#888C2311yescharacteristic
363#888C2311yescharacteristic
364#888C2311yescharacteristic
365#888C2311yescharacteristic
366#888C2311yescharacteristic
367#888C2311yescharacteristic
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#887—21no—
378#887—21no—
379#887D411yescharacteristic
380#887D411yescharacteristic
381#887D411yescharacteristic
382#887C2311yescharacteristic
383#887C2311yescharacteristic
384#887C2311yescharacteristic
385C4×D12—21no—
386C4×D12—21no—
387C4×D12—21no—
388C4×D12C2311yescharacteristic
389C4×D12C2311yescharacteristic
390C4×D12C2311yescharacteristic
391C42×D3—21no—
392C42×D3—21no—
393C42×D3—21no—
394C42×D3—21no—
395C42×D3—21no—
396C42×D3—21no—
397C42×D3C2311yescharacteristic
398C42×D3C2311yescharacteristic
399C42×D3C2311yescharacteristic
400#870—21no—
401#870—21no—
402#870—21no—
403#870—21no—
404#870C2311yescharacteristic
405#870C2311yescharacteristic
406#870C2311yescharacteristic
407#870C2311yescharacteristic
408#869—21no—
409#869—21no—
410#869C2311yescharacteristic
411#869C2311yescharacteristic
412C4×Dic6—21no—
413C4×Dic6—21no—
414C4×Dic6—21no—
415C4×Dic6—21no—
416C4×Dic6—21no—
417C4×Dic6—21no—
418C4×Dic6—21no—
419C4×Dic6—21no—
420C4×Dic6—21no—
421C4×Dic6C2311yescharacteristic
422C4×Dic6C2311yescharacteristic
423C4×Dic6C2311yescharacteristic
424C4×Dic6C2311yescharacteristic
425C4×Dic6C2311yescharacteristic
426C4×Dic6C2311yescharacteristic
427C3×#107C2311yescharacteristic
428C3×#107C2311yescharacteristic
429C3×#107C2311yescharacteristic
430C3×#107C2311yescharacteristic
431C3×#107C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×C4⋊C8C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#97C2311yescharacteristic
446C3×#97C2311yescharacteristic
447C3×C4×C8C2311yescharacteristic
448#835C2311yescharacteristic
449#835C2311yescharacteristic
450#835C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#821C2311yescharacteristic
455#821C2311yescharacteristic
456#821C2311yescharacteristic
457#818C2311yescharacteristic
458#818C2311yescharacteristic
459#818C2311yescharacteristic
460#818C2311yescharacteristic
461#817C2311yescharacteristic
462#817C2311yescharacteristic
463#817C2311yescharacteristic
464#817C2311yescharacteristic
465#817C2311yescharacteristic
466#816C2311yescharacteristic
467#816C2311yescharacteristic
468#816C2311yescharacteristic
469#815C2311yescharacteristic
470#815C2311yescharacteristic
471Dic3⋊C8C2311yescharacteristic
472Dic3⋊C8C2311yescharacteristic
473Dic3⋊C8C2311yescharacteristic
474Dic3⋊C8C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477C8×Dic3C2311yescharacteristic
478C8×Dic3C2311yescharacteristic
479C8×Dic3C2311yescharacteristic
480C8×Dic3C2311yescharacteristic
481#810C2311yescharacteristic
482#810C2311yescharacteristic
483#810C2311yescharacteristic
484#809C2311yescharacteristic
485#809C2311yescharacteristic
486#809C2311yescharacteristic
487#808C2311yescharacteristic
488#808C2311yescharacteristic
489#808C2311yescharacteristic
490#808C2311yescharacteristic
491#808C2311yescharacteristic
492#808C2311yescharacteristic
493#808C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#807C2311yescharacteristic
497#807C2311yescharacteristic
498#807C2311yescharacteristic
499#807C2311yescharacteristic
500#807C2311yescharacteristic
501#807C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505C4⋊(C3⋊C8)C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508#803C2311yescharacteristic
509#803C2311yescharacteristic
510C4×C3⋊C8C2311yescharacteristic
511C2×#137—31no—
512Q82—31no—
513#557—31no—
514#557—31no—
515#557—31no—
516#557—31no—
517#557—31no—
518#557—31no—
519#557—31no—
520#557—31no—
521#557—31no—
522#557—61no—
523#557—61no—
524#557—61no—
525#557—61no—
526#557C2×D311yescharacteristic
527#557C2×D311yescharacteristic
528#554—31no—
529#554—31no—
530#554—31no—
531#554—61no—
532#554—61no—
533#554—61no—
534D4×Q8—31no—
535D4×Q8—61no—
536#533—31no—
537#533—31no—
538#533—31no—
539#533—61no—
540#533—61no—
541#533—61no—
542C2×C4⋊Q8—31no—
543C2×C4⋊Q8—61no—
544C2×#125—31no—
545C2×#125—31no—
546C2×#125—61no—
547C2×#125—61no—
548C4×#41—31no—
549C4×#41—31no—
550C4×#41—31no—
551C2×C4×Q8—31no—
552C2×C4×Q8—31no—
553C2×C4×Q8—31no—
554C2×C4×Q8—31no—
555C2×C4×Q8—61no—
556C2×C4×Q8—61no—
557#501—31no—
558#501—31no—
559#501—31no—
560#501—31no—
561#501—31no—
562#501—31no—
563#501—31no—
564#501—31no—
565#501—31no—
566#501—31no—
567#501C2×D311yescharacteristic
568#501C2×D311yescharacteristic
569#500—31no—
570#500—31no—
571#499—31no—
572#499—31no—
573#499—31no—
574#499—31no—
575#499—31no—
576#499—31no—
577#499—31no—
578#499C2×D311yescharacteristic
579#498—31no—
580#498—31no—
581#479—31no—
582#479—31no—
583#479—31no—
584#479—31no—
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#479—31no—
594#479—31no—
595#479—31no—
596#479—31no—
597#479C2×D311yescharacteristic
598#479C2×D311yescharacteristic
599#479C2×D311yescharacteristic
600#479C2×D311yescharacteristic
601#478—31no—
602#478—31no—
603#478—31no—
604#478—31no—
605#478—31no—
606#478—31no—
607#478—31no—
608#478—31no—
609#477—31no—
610#477—31no—
611#477—31no—
612#477—31no—
613#477—31no—
614#477—31no—
615#477C2×D311yescharacteristic
616#477C2×D311yescharacteristic
617#476—31no—
618#476—31no—
619#475—31no—
620#475—31no—
621#475—31no—
622#475—31no—
623#475—31no—
624#475—31no—
625#475—31no—
626#475—31no—
627#474—31no—
628#474—31no—
629#446—31no—
630#446—31no—
631#446—31no—
632#446—31no—
633#446—31no—
634#446C2×D311yescharacteristic
635C8×Q8—31no—
636C8×Q8—31no—
637#441—31no—
638#441—31no—
639#441—31no—
640#441—31no—
641#441C2×D311yescharacteristic
642#441C2×D311yescharacteristic
643#440—31no—
644#440—31no—
645#440—31no—
646#440—31no—
647#440—31no—
648#440—31no—
649C4×Q16—31no—
650C4×Q16—31no—
651C4×Q16—31no—
652C4×Q16—31no—
653C4×Q16—31no—
654C4×Q16C2×D311yescharacteristic
655C4×SD16—31no—
656C4×SD16—31no—
657C4×SD16—31no—
658C4×SD16—31no—
659C4×SD16—31no—
660C4×SD16—31no—
661#428—31no—
662#428—31no—
663#428—31no—
664#428—31no—
665#428—31no—
666#428—31no—
667#428—31no—
668#428—31no—
669#428—31no—
670#423—31no—
671#423—31no—
672#423—31no—
673#419—31no—
674#419—31no—
675#419—31no—
676#417—31no—
677#417—31no—
678#417—31no—
679C4×M16—31no—
680C4×M16—31no—
681C4×M16—31no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2×D411yescharacteristic
685C2×C3×Q8C2411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687#239—22no—
688#239C2×Q814yes—
689D3×Q8—22no—
690D3×Q8—42no—
691D3×Q8—44no—
692D3×Q8—44no—
693D3×Q8C2×Q814yescomplemented
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×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×D3C2×D411yescharacteristic
710C2×C4×D3C2×D411yescharacteristic
711C2×C4×D3C2×D411yescharacteristic
712C2×C4×D3C2×D411yescharacteristic
713C2×C4×D3C2411yescharacteristic
714C2×Dic6—21no—
715C2×Dic6—21no—
716C2×Dic6—21no—
717C2×Dic6—21no—
718C2×Dic6—21no—
719C2×Dic6—21no—
720C2×Dic6—21no—
721C2×Dic6—21no—
722C2×Dic6—21no—
723C2×Dic6C2×D411yescharacteristic
724C2×Dic6C2×D411yescharacteristic
725C2×Dic6C2×D411yescharacteristic
726C2×Dic6C2411yescharacteristic
727C3×Q16C2×Q814yescomplemented
728C2×C3×C8C2411yescharacteristic
729C2×C3×C8C2411yescharacteristic
730C2×C3×C8C2411yescharacteristic
731C2×C3×C8C2411yescharacteristic
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×C4⋊C4C2411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C42—21no—
758C3×C42—21no—
759C3×C42—21no—
760C3×C42—21no—
761C3×C42—21no—
762C3×C42—21no—
763C3×C42C2411yescharacteristic
764C3×C42C2411yescharacteristic
765C3×C42C2411yescharacteristic
766#216C2×Q814yescomplemented
767#215C2×Q814yescomplemented
768(C2×D3)⋊C4—21no—
769(C2×D3)⋊C4—21no—
770(C2×D3)⋊C4—21no—
771(C2×D3)⋊C4—21no—
772(C2×D3)⋊C4—21no—
773(C2×D3)⋊C4—21no—
774(C2×D3)⋊C4—21no—
775(C2×D3)⋊C4—21no—
776(C2×D3)⋊C4—21no—
777C4⋊Dic3—21no—
778C4⋊Dic3—21no—
779C4⋊Dic3—21no—
780C4⋊Dic3—21no—
781C4⋊Dic3—21no—
782C4⋊Dic3—21no—
783C4⋊Dic3—21no—
784C4⋊Dic3—21no—
785C4⋊Dic3—21no—
786C4⋊Dic3—21no—
787C4⋊Dic3—21no—
788C4⋊Dic3—21no—
789C4⋊Dic3—21no—
790C4⋊Dic3—21no—
791C4⋊Dic3C2×D411yescharacteristic
792C4⋊Dic3C2×D411yescharacteristic
793C4⋊Dic3C2×D411yescharacteristic
794C4⋊Dic3C2411yescharacteristic
795C4⋊Dic3C2411yescharacteristic
796C4⋊Dic3C2411yescharacteristic
797C4⋊Dic3C2411yescharacteristic
798C4⋊Dic3C2411yescharacteristic
799C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4C2×D411yescharacteristic
830Dic3⋊C4C2×D411yescharacteristic
831Dic3⋊C4C2×D411yescharacteristic
832Dic3⋊C4C2×D411yescharacteristic
833Dic3⋊C4C2×D411yescharacteristic
834Dic3⋊C4C2×D411yescharacteristic
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×Dic3C2×D411yescharacteristic
853C4×Dic3C2×D411yescharacteristic
854C4×Dic3C2×D411yescharacteristic
855C4×Dic3C2×D411yescharacteristic
856C4×Dic3C2411yescharacteristic
857C4×Dic3C2411yescharacteristic
858C4×Dic3C2411yescharacteristic
859C2×C3⋊C8C2411yescharacteristic
860C2×C3⋊C8C2411yescharacteristic
861C2×C3⋊C8C2411yescharacteristic
862C2×C3⋊C8C2411yescharacteristic
863#204C2×Q814yescomplemented
864ΓL(1,𝔽25)—22no—
865ΓL(1,𝔽25)—22no—
866ΓL(1,𝔽25)—22no—
867ΓL(1,𝔽25)C2×Q814yescomplemented
868C2×#41—31no—
869C22×Q8—31no—
870C22×Q8—31no—
871C22×Q8—61no—
872C22×Q8—61no—
873#137—38no—
874C2×Q16—31no—
875C2×Q16C22×D311yescharacteristic
876C2×SD16—31no—
877C2×SD16—31no—
878C2×M16—31no—
879C2×M16—31no—
880C2×M16—31no—
881C2×M16—31no—
882C4⋊Q8—21no—
883C4⋊Q8—21no—
884C4⋊Q8—31no—
885C4⋊Q8—31no—
886C4⋊Q8—31no—
887C4⋊Q8—31no—
888C4⋊Q8—31no—
889C4⋊Q8—31no—
890C4⋊Q8—31no—
891C4⋊Q8—31no—
892C4⋊Q8—61no—
893C4⋊Q8—61no—
894C4⋊Q8—61no—
895C4⋊Q8—61no—
896C4⋊Q8—61no—
897C4⋊Q8—61no—
898C4⋊Q8—61no—
899C4⋊Q8—61no—
900C4⋊Q8—61no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8—61no—
906C4⋊Q8C22×D311yescharacteristic
907C4⋊Q8C22×D311yescharacteristic
908#125—21no—
909#125—21no—
910#125—21no—
911#125—21no—
912#125—31no—
913#125—31no—
914#125—31no—
915#125—31no—
916#125—31no—
917#125—31no—
918#125—31no—
919#125—31no—
920#125—31no—
921#125—31no—
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#125—61no—
942#125—61no—
943#125—61no—
944#125C22×D311yescharacteristic
945#125C22×D311yescharacteristic
946#125C22×D311yescharacteristic
947#125C22×D311yescharacteristic
948C22⋊Q8—61no—
949C22⋊Q8—61no—
950C22⋊Q8—61no—
951C22⋊Q8—61no—
952C22⋊Q8—61no—
953C22⋊Q8—61no—
954C22⋊Q8—61no—
955C22⋊Q8—61no—
956C22⋊Q8—61no—
957C22⋊Q8—61no—
958C22⋊Q8—61no—
959C22⋊Q8—61no—
960C22⋊Q8—61no—
961C22⋊Q8—61no—
962C22⋊Q8—61no—
963C22⋊Q8—61no—
964C22⋊Q8—61no—
965C22⋊Q8—61no—
966C4×Q8—21no—
967C4×Q8—21no—
968C4×Q8—31no—
969C4×Q8—31no—
970C4×Q8—31no—
971C4×Q8—31no—
972C4×Q8—31no—
973C4×Q8—31no—
974C4×Q8—31no—
975C4×Q8—31no—
976C4×Q8—31no—
977C4×Q8—31no—
978C4×Q8—31no—
979C4×Q8—31no—
980C4×Q8—31no—
981C4×Q8—31no—
982C4×Q8—31no—
983C4×Q8—31no—
984C4×Q8—31no—
985C4×Q8—31no—
986C4×Q8—31no—
987C4×Q8—61no—
988C4×Q8—61no—
989C4×Q8—61no—
990C4×Q8—61no—
991C4×Q8—61no—
992C4×Q8—61no—
993C4×Q8—61no—
994C4×Q8—61no—
995C4×Q8—61no—
996C4×Q8—61no—
997C4×Q8—61no—
998C4×Q8—61no—
999C4×Q8—61no—
1000C4×Q8—61no—
1001C4×Q8—61no—
1002C4×Q8—61no—
1003C4×Q8—61no—
1004C4×Q8—61no—
1005C4×Q8—61no—
1006C4×Q8—61no—
1007C4×Q8—61no—
1008C4×Q8—61no—
1009C4×Q8C22×D311yescharacteristic
1010C4×Q8C22×D311yescharacteristic
1011C4×Q8C22×D311yescharacteristic
1012C4×Q8C22×D311yescharacteristic
1013C4×Q8C22×D311yescharacteristic
1014C4×Q8C22×D311yescharacteristic
1015C4×Q8C22×D311yescharacteristic
1016C4×D4—31no—
1017C4×D4—31no—
1018C4×D4—31no—
1019C4×D4—31no—
1020C4×D4—31no—
1021C4×D4—31no—
1022C4×D4—61no—
1023C4×D4—61no—
1024C4×D4—61no—
1025C4×D4—61no—
1026C4×D4—61no—
1027C4×D4—61no—
1028#117—31no—
1029#117—31no—
1030#117—31no—
1031#117—61no—
1032#117—61no—
1033#117—61no—
1034C2×C4⋊C4—31no—
1035C2×C4⋊C4—31no—
1036C2×C4⋊C4—31no—
1037C2×C4⋊C4—31no—
1038C2×C4⋊C4—31no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—61no—
1041C2×C4⋊C4—61no—
1042C2×C4⋊C4—61no—
1043C2×C4⋊C4—61no—
1044C2×C4⋊C4—61no—
1045C2×C4⋊C4—61no—
1046C2×C4⋊C4—61no—
1047C2×C4⋊C4—61no—
1048C2×C4⋊C4—61no—
1049C2×C4⋊C4—61no—
1050C2×C4⋊C4—61no—
1051C2×C42—31no—
1052C2×C42—31no—
1053C2×C42—31no—
1054C2×C42—61no—
1055C2×C42—61no—
1056C2×C42—61no—
1057C2×C42—61no—
1058C2×C42—61no—
1059C2×C42—61no—
1060#107—31no—
1061#107—31no—
1062#107—31no—
1063#107—31no—
1064#107—31no—
1065#107—31no—
1066#107—31no—
1067#107—31no—
1068#107—31no—
1069#107—31no—
1070#107—31no—
1071#107—31no—
1072#107—31no—
1073#107C22×D311yescharacteristic
1074#107C22×D311yescharacteristic
1075#107C22×D311yescharacteristic
1076#107C22×D311yescharacteristic
1077#107C22×D311yescharacteristic
1078#106—31no—
1079#106—31no—
1080#106—31no—
1081#106—31no—
1082#106—31no—
1083#106—31no—
1084#106—31no—
1085#106—31no—
1086#106—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106—31no—
1091#106—31no—
1092#106C22×D311yescharacteristic
1093#106C22×D311yescharacteristic
1094#106C22×D311yescharacteristic
1095#106C22×D311yescharacteristic
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8C22×D311yescharacteristic
1106C4⋊C8C22×D311yescharacteristic
1107C4⋊C8C22×D311yescharacteristic
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#103C22×D311yescharacteristic
1121#103C22×D311yescharacteristic
1122#103C22×D311yescharacteristic
1123#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
1130#102—31no—
1131#102—31no—
1132#97—31no—
1133#97—31no—
1134#97—31no—
1135#97—31no—
1136#97C22×D311yescharacteristic
1137#97C22×D311yescharacteristic
1138C4×C8—31no—
1139C4×C8—31no—
1140C4×C8—31no—
1141C4×C8—31no—
1142C4×C8—31no—
1143C4×C8C22×D311yescharacteristic
1144C22×D3—21no—
1145C22×D3C22×D411yescharacteristic
1146C3×Q8—21no—
1147C3×Q8—21no—
1148C3×Q8—41no—
1149C3×Q8—42no—
1150C3×Q8—42no—
1151C3×Q8C22×Q812yes—
1152C3×Q8C22×Q812yes—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4C22×D411yescharacteristic
1162C2×C3×C4C22×D411yescharacteristic
1163C2×C3×C4C22×D411yescharacteristic
1164C2×C3×C4C22×D411yescharacteristic
1165C2×C3×C4C22×D411yescharacteristic
1166C2×C3×C4C22×D411yescharacteristic
1167C2×C3×C4C2511yescharacteristic
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3C22×D411yescharacteristic
1176C2×Dic3C22×D411yescharacteristic
1177C2×Dic3C22×D411yescharacteristic
1178C2×Dic3C22×D411yescharacteristic
1179C2×Dic3C22×D411yescharacteristic
1180C2×Dic3C22×D411yescharacteristic
1181C2×Dic3C22×D411yescharacteristic
1182D12—24no—
1183D12—21no—
1184D12C22×Q812yes—
1185C4×D3—24no—
1186C4×D3—24no—
1187C4×D3—22no—
1188C4×D3—41no—
1189C4×D3—41no—
1190C4×D3—41no—
1191C4×D3—41no—
1192C4×D3—41no—
1193C4×D3—42no—
1194C4×D3—42no—
1195C4×D3—42no—
1196C4×D3—42no—
1197C4×D3—42no—
1198C4×D3—42no—
1199C4×D3—81no—
1200C4×D3—81no—
1201C4×D3—81no—
1202C4×D3C22×Q812yes—
1203C4×D32−1+412yes—
1204Dic6—21no—
1205Dic6—24no—
1206Dic6—22no—
1207Dic6—22no—
1208Dic6—41no—
1209Dic6—42no—
1210Dic6—42no—
1211Dic6—42no—
1212Dic6—42no—
1213Dic6—42no—
1214Dic6—81no—
1215Dic6—81no—
1216Dic6—81no—
1217Dic6C22×Q812yes—
1218C3×C8—21no—
1219C3×C8—21no—
1220C3×C8—21no—
1221C3×C8C22×Q812yes—
1222C3⋊C8—21no—
1223C3⋊C8—21no—
1224C3⋊C8—21no—
1225C3⋊C8C22×Q812yes—
1226#41—34no—
1227#41—62no—
1228C2×Q8—21no—
1229C2×Q8—21no—
1230C2×Q8—31no—
1231C2×Q8—31no—
1232C2×Q8—31no—
1233C2×Q8—34no—
1234C2×Q8—31no—
1235C2×Q8—61no—
1236C2×Q8—61no—
1237C2×Q8—61no—
1238C2×Q8—61no—
1239C2×Q8—61no—
1240C2×Q8—61no—
1241C2×Q8—61no—
1242C2×Q8—62no—
1243C2×Q8—61no—
1244C2×Q8—61no—
1245C2×Q8—122no—
1246C2×Q8—124no—
1247C2×Q8—124no—
1248C2×Q8D3×D411yescharacteristic
1249C2×Q8C23×D311yescharacteristic
1250C2×Q8C23×D311yescharacteristic
1251C2×D4—31no—
1252C2×D4—61no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—61no—
1261C22×C4—61no—
1262C22×C4—61no—
1263C22×C4—61no—
1264C22×C4—61no—
1265C22×C4—61no—
1266C22×C4—61no—
1267C22×C4—61no—
1268C22×C4—61no—
1269C22×C4—61no—
1270C22×C4—61no—
1271Q16—34no—
1272Q16D3×Q814yescomplemented
1273SD16—34no—
1274SD16—34no—
1275M16—34no—
1276M16—62no—
1277M16—62no—
1278M16—62no—
1279C2×C8—31no—
1280C2×C8—31no—
1281C2×C8—31no—
1282C2×C8—31no—
1283C2×C8C23×D311yescharacteristic
1284C2×C8C23×D311yescharacteristic
1285C2×C8C23×D311yescharacteristic
1286C2×C8C23×D311yescharacteristic
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—31no—
1304C4⋊C4—31no—
1305C4⋊C4—31no—
1306C4⋊C4—31no—
1307C4⋊C4—31no—
1308C4⋊C4—31no—
1309C4⋊C4—31no—
1310C4⋊C4—31no—
1311C4⋊C4—31no—
1312C4⋊C4—31no—
1313C4⋊C4—31no—
1314C4⋊C4—31no—
1315C4⋊C4—31no—
1316C4⋊C4—31no—
1317C4⋊C4—31no—
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⋊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⋊C4D3×D411yescharacteristic
1362C4⋊C4D3×D411yescharacteristic
1363C4⋊C4D3×D411yescharacteristic
1364C4⋊C4C23×D311yescharacteristic
1365C4⋊C4C23×D311yescharacteristic
1366C4⋊C4C23×D311yescharacteristic
1367C4⋊C4C23×D311yescharacteristic
1368C4⋊C4C23×D311yescharacteristic
1369C4⋊C4C23×D311yescharacteristic
1370C22⋊C4—61no—
1371C22⋊C4—61no—
1372C22⋊C4—61no—
1373C22⋊C4—61no—
1374C22⋊C4—61no—
1375C22⋊C4—61no—
1376C22⋊C4—61no—
1377C22⋊C4—61no—
1378C22⋊C4—61no—
1379C42—21no—
1380C42—21no—
1381C42—21no—
1382C42—21no—
1383C42—21no—
1384C42—21no—
1385C42—31no—
1386C42—31no—
1387C42—31no—
1388C42—31no—
1389C42—31no—
1390C42—31no—
1391C42—31no—
1392C42—31no—
1393C42—31no—
1394C42—61no—
1395C42—61no—
1396C42—61no—
1397C42—61no—
1398C42—61no—
1399C42—61no—
1400C42—61no—
1401C42—61no—
1402C42—61no—
1403C42—61no—
1404C42—61no—
1405C42—61no—
1406C42—61no—
1407C42—61no—
1408C42—61no—
1409C42C23×D311yescharacteristic
1410C42C23×D311yescharacteristic
1411C42C23×D311yescharacteristic
1412C22×C3C23×D411yescharacteristic
1413C2×D3—21no—
1414C2×D3—21no—
1415C2×D3—22no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3D4×Q812yes—
1419C3×C4—21no—
1420C3×C4—21no—
1421C3×C4—21no—
1422C3×C4—22no—
1423C3×C4—22no—
1424C3×C4—21no—
1425C3×C4—21no—
1426C3×C4—21no—
1427C3×C4—41no—
1428C3×C4—41no—
1429C3×C4—41no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4C23×Q811yescharacteristic
1434C3×C4C2×2−1+411yescharacteristic
1435Dic3—21no—
1436Dic3—21no—
1437Dic3—21no—
1438Dic3—22no—
1439Dic3—21no—
1440Dic3—21no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3D4×Q812yes—
1448Dic3#57512yes—
1449C23—31no—
1450C23—61no—
1451Q8—21no—
1452Q8—21no—
1453Q8—32no—
1454Q8—41no—
1455Q8—42no—
1456Q8—42no—
1457Q8—64no—
1458Q8—62no—
1459Q8—62no—
1460Q8—61no—
1461Q8—121no—
1462Q8—122no—
1463Q8—122no—
1464Q8—122no—
1465Q8—122no—
1466Q8—122no—
1467Q8—241no—
1468Q8—241no—
1469Q8—241no—
1470Q8C2×D3×Q812yes—
1471Q8C2×D3×Q812yes—
1472D4—32no—
1473D4—64no—
1474D4—61no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—31no—
1484C2×C4—31no—
1485C2×C4—32no—
1486C2×C4—32no—
1487C2×C4—31no—
1488C2×C4—31no—
1489C2×C4—31no—
1490C2×C4—31no—
1491C2×C4—31no—
1492C2×C4—62no—
1493C2×C4—64no—
1494C2×C4—64no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—121no—
1503C2×C4—121no—
1504C2×C4—121no—
1505C2×C4—121no—
1506C2×C4—121no—
1507C2×C4—122no—
1508C2×C4—122no—
1509C2×C4—122no—
1510C2×C4—122no—
1511C2×C4—122no—
1512C2×C4—122no—
1513C2×C4—241no—
1514C2×C4—241no—
1515C2×C4—241no—
1516C2×C4C2×D3×D411yescharacteristic
1517C2×C4C2×D3×D411yescharacteristic
1518C2×C4C2×D3×D411yescharacteristic
1519C2×C4C2×D3×D411yescharacteristic
1520C2×C4C2×D3×D411yescharacteristic
1521C2×C4C2×D3×D411yescharacteristic
1522C2×C4C24×D311yescharacteristic
1523C8—21no—
1524C8—21no—
1525C8—21no—
1526C8—32no—
1527C8—61no—
1528C8—61no—
1529C8—61no—
1530C8C2×D3×Q812yes—
1531C2×C3C2×D4×Q811yescharacteristic
1532C2×C3C2×#57511yescharacteristic
1533C2×C3#358611yescharacteristic
1534D3—22no—
1535D3—42no—
1536C22—32no—
1537C22—61no—
1538C22—61no—
1539C22—62no—
1540C22—121no—
1541C22—121no—
1542C22C22×D3×D411yescharacteristic
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—21no—
1547C4—21no—
1548C4—21no—
1549C4—22no—
1550C4—22no—
1551C4—32no—
1552C4—32no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—61no—
1560C4—61no—
1561C4—61no—
1562C4—61no—
1563C4—61no—
1564C4—62no—
1565C4—121no—
1566C4—121no—
1567C4—121no—
1568C4—121no—
1569C4—121no—
1570C4—121no—
1571C4C22×D3×Q811yescharacteristic
1572C4D3×2−1+411yescharacteristic
1573C3#6136911yescharacteristic, complemented, Sylow
1574C2—62no—
1575C2—122no—
1576C2D3×D4×Q811yescharacteristic
1577C2D3×#57511yescharacteristic
1578C2#8721111yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3390C2
socleC22×C3C23×D4
prime radicalC2×#239C23
hypercenter#3390D3
hypocenterC3#61369
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3390

Complements

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

NH ≅ G/Ntype
1. D3×#557C2semidirect
3. C3×#3390C2semidirect
4. #83695C2semidirect
5. #83684C2semidirect
6. #81977C2semidirect
7. #81976C2semidirect
8. #81968C2semidirect
9. #81966C2semidirect
10. #81919C2semidirect
11. #81913C2semidirect
14. #81230C2semidirect
15. #81230C2semidirect
16. #81225C2semidirect
17. #81224C2semidirect
18. #81222C2semidirect
19. #81221C2semidirect
21. #81108C2semidirect
22. #81105C2semidirect
23. #81103C2semidirect
24. #79978C2semidirect
25. #79962C2semidirect
28. #79820C2semidirect
29. #79819C2semidirect
31. #79707C2semidirect
209. #3390D3semidirect
279. #918Q8semidirect
693. D3×Q8C2×Q8semidirect
727. C3×Q16C2×Q8semidirect
766. #216C2×Q8semidirect
767. #215C2×Q8semidirect
863. #204C2×Q8semidirect
867. ΓL(1,𝔽25)C2×Q8semidirect
1272. Q16D3×Q8semidirect
1573. C3#61369semidirect

Maximal subgroups

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

subgroupindex
D3×#5572
#870152
C3×#33902
#836952
#836842
#819772
#819762
#819682
#819662
#819192
#819132
#812312
#812302
#812252
#812242
#812222
#812212
#811092
#811082
#811052
#811032
#799782
#799622
#798292
#798202
#798192
C4×#9182
#797072
#613693