Finite Group Databasebeta

← #10581863

Subgroups — #10581863

Order 512.

6118 conjugacy classes of subgroups.

The subgroup lattice has 2136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62823C211yesmaximal, characteristic, complemented
2#62748C211yesmaximal, characteristic, complemented
3#62612C214yesmaximal, complemented
4#62553C212yesmaximal, complemented
5#62550C212yesmaximal, complemented
6#62467C214yesmaximal, complemented
7#62432C212yesmaximal, complemented
8#62430C212yesmaximal, complemented
9#62066C214yesmaximal, complemented
10#62065C214yesmaximal, complemented
11#62044C212yesmaximal, complemented
12#62043C212yesmaximal, complemented
13#62042C212yesmaximal, complemented
14#62041C212yesmaximal, complemented
15#61897C212yesmaximal, complemented
16#61887C212yesmaximal, complemented
17#61607C214yesmaximal, complemented
18#61606C214yesmaximal, complemented
19#61589C212yesmaximal, complemented
20#61568C212yesmaximal, complemented
21#60987C214yesmaximal, complemented
22#60952C211yesmaximal, characteristic, complemented
23#60942C211yesmaximal, characteristic, complemented
24#60816C214yesmaximal, complemented
25#60805C211yesmaximal, characteristic, complemented
26C2×#3210C211yesmaximal, characteristic, complemented
27#60290C211yesmaximal, characteristic, complemented
28#3564—22no—
29#3564—22no—
30#3563—21no—
31#3563C2212yescomplemented
32#3562C2214yes—
33#3561—21no—
34#3561C2212yescomplemented
35#3561C2212yescomplemented
36#3560—22no—
37#3559—21no—
38#3558—21no—
39#3558C2212yescomplemented
40#3554C2212yes—
41#3553—22no—
42#3552C2212yescomplemented
43#3552C2212yescomplemented
44#3552C2212yescomplemented
45#3546C2212yes—
46#3543C2212yescomplemented
47#3537—21no—
48#3536—21no—
49#3534—22no—
50#3529—22no—
51#3523C2212yescomplemented
52#3523C2212yescomplemented
53#3520C2212yescomplemented
54#3520C2212yescomplemented
55#3516—22no—
56#3516C2214yescomplemented
57#3505—21no—
58#3505C2212yescomplemented
59#3501—21no—
60#3501C2212yescomplemented
61#3495—22no—
62#3495C2214yescomplemented
63#3491—22no—
64#3481—22no—
65#3480C2212yescomplemented
66D4×#41C2214yes—
67D4×#41C2212yescomplemented
68#3460—22no—
69#3459—22no—
70#3455C2212yescomplemented
71#3449C2212yescomplemented
72#3444C2211yescharacteristic
73C2×#533C2211yescharacteristic, complemented
74C2×#532C2211yescharacteristic
75C2×#529C2211yescharacteristic
76C2×#529C2211yescharacteristic, complemented
77#3402C2214yescomplemented
78#3401C2214yescomplemented
79#3400C2212yescomplemented
80#3398C2212yescomplemented
81#3398C2212yescomplemented
82#3397C2212yescomplemented
83#3395C2212yescomplemented
84#3394C2214yescomplemented
85#3394C2212yescomplemented
86#3393C2214yescomplemented
87#3393C2212yescomplemented
88#3392C2212yescomplemented
89#3377C2214yescomplemented
90#3374C2212yescomplemented
91#3373C2212yescomplemented
92#3371C2214yescomplemented
93#3368C2212yescomplemented
94#3367C2212yescomplemented
95#3365C2212yescomplemented
96#3365C2214yescomplemented
97#3364C2212yescomplemented
98#3364C2214yescomplemented
99#3359C2212yescomplemented
100#3358C2212yescomplemented
101#3333C2214yescomplemented
102#3332C2212yescomplemented
103#3331C2214yescomplemented
104#3330C2212yescomplemented
105#3328C2212yescomplemented
106#3327C2214yescomplemented
107#3327C2214yescomplemented
108#3324C2212yescomplemented
109#3323C2214yescomplemented
110#3323C2214yescomplemented
111#3320C2214yescomplemented
112#3318C2214yescomplemented
113#3317C2214yescomplemented
114#3316C2214yescomplemented
115#3316C2214yescomplemented
116#3315C2214yescomplemented
117#3314C2214yescomplemented
118#3314C2214yescomplemented
119#3304C2212yescomplemented
120#3302C2212yescomplemented
121#3301C2214yescomplemented
122#3300C2214yescomplemented
123#3299C2214yescomplemented
124#3298C2212yescomplemented
125#3297C2214yescomplemented
126#3296C2214yescomplemented
127#3295C2214yescomplemented
128#3294C2212yescomplemented
129D4×Q16C2212yescomplemented
130D4×Q16C2214yescomplemented
131#3285C2214yescomplemented
132#3285C2214yescomplemented
133#3284C2212yescomplemented
134#3283C2212yescomplemented
135#3282C2214yescomplemented
136#3282C2214yescomplemented
137D4×SD16C2212yescomplemented
138D4×SD16C2214yescomplemented
139#3278C2214yescomplemented
140#3278C2212yescomplemented
141#3277C2214yescomplemented
142#3276C2214yescomplemented
143#3276C2212yescomplemented
144#3276C2212yescomplemented
145#3275C2214yescomplemented
146#3275C2214yescomplemented
147#3273C2214yescomplemented
148#3272C2212yescomplemented
149#3270C2214yescomplemented
150#3270C2214yescomplemented
151#3270C2214yescomplemented
152#3268C2214yescomplemented
153#3267C2214yescomplemented
154#3266C2214yescomplemented
155#3266C2214yescomplemented
156#3265C2214yescomplemented
157#3263C2214yescomplemented
158#3262C2214yescomplemented
159#3258C2214yescomplemented
160#3258C2214yescomplemented
161#3255C2212yescomplemented
162#3254C2212yescomplemented
163#3248C2212yescomplemented
164#3247C2212yescomplemented
165#3242C2214yescomplemented
166#3241C2214yescomplemented
167#3239C2212yescomplemented
168#3237C2212yescomplemented
169#3233C2212yescomplemented
170#3232C2212yescomplemented
171#3225C2214yescomplemented
172#3225C2214yescomplemented
173#3224C2214yescomplemented
174#3224C2214yescomplemented
175#3223C2214yescomplemented
176#3223C2214yescomplemented
177#3223C2214yescomplemented
178#3222C2214yescomplemented
179#3222C2214yescomplemented
180#3221C2214yescomplemented
181#3219C2214yescomplemented
182#3219C2214yescomplemented
183#3218C2212yescomplemented
184#3218C2212yescomplemented
185#3217C2212yescomplemented
186#3216C2212yescomplemented
187#3216C2214yescomplemented
188#3212C2212yescomplemented
189#3212C2212yescomplemented
190#3212C2212yescomplemented
191#3212C2214yescomplemented
192#3211C2212yescomplemented
193#3211C2214yescomplemented
194#3210C2214yescomplemented
195#3210C2214yescomplemented
196#3210C2212yescomplemented
197#3210C2212yescomplemented
198#3210C2212yescomplemented
199#3210C2212yescomplemented
200#3210C2214yescomplemented
201#3197C2214yescomplemented
202#3196C2214yescomplemented
203#3196C2214yescomplemented
204#3191C2214yescomplemented
205#3190C2212yescomplemented
206#3190C2214yescomplemented
207#3188C2212yescomplemented
208#3179C2214yescomplemented
209#3178C2214yescomplemented
210#3177C2214yescomplemented
211#3174C2214yescomplemented
212#3172C2214yescomplemented
213#3168C2212yescomplemented
214#3168C2212yescomplemented
215#3156C2214yescomplemented
216#3154C2214yescomplemented
217#3153C2212yescomplemented
218C2×#494C2211yescharacteristic, complemented
219C2×#492C2211yescharacteristic, complemented
220#3142C2212yescomplemented
221#3137C2214yescomplemented
222#3136C2214yescomplemented
223C2×#487C2211yescharacteristic, complemented
224C2×#486C2211yescharacteristic, complemented
225#3125C2214yescomplemented
226#3124C2214yescomplemented
227#3121C2214yescomplemented
228#3121C2214yescomplemented
229#3116C2214yescomplemented
230#3111C2214yescomplemented
231#3107C2212yescomplemented
232#3107C2212yescomplemented
233#3107C2214yescomplemented
234#3104C2211yescharacteristic, complemented
235#3104C2212yescomplemented
236#3103C2211yescharacteristic, complemented
237#3103C2212yescomplemented
238#3102C2212yescomplemented
239#3102C2212yescomplemented
240#3102C2214yescomplemented
241#3101C2211yescharacteristic, complemented
242#3100C2211yescharacteristic, complemented
243#3046C2214yescomplemented
244#3045C2214yescomplemented
245#3044C2214yescomplemented
246#3043C2214yescomplemented
247#3037C2212yescomplemented
248#3036C2212yescomplemented
249C2×#464C2214yescomplemented
250#3007C2212yescomplemented
251#3007C2214yescomplemented
252#3006C2212yescomplemented
253#3005C2214yescomplemented
254#3002C2214yescomplemented
255C2×#452C2214yescomplemented
256C2×#452C2214yescomplemented
257#2994C2214yescomplemented
258#2993C2212yescomplemented
259#2993C2212yescomplemented
260#2983C2211yescharacteristic, complemented
261#2982C2211yescharacteristic, complemented
262#2975C2211yescharacteristic, complemented
263#2974C2214yescomplemented
264#2972C2211yescharacteristic, complemented
265#2969C2214yescomplemented
266#2966C2212yescomplemented
267#2966C2212yescomplemented
268#2924C2214yescomplemented
269#2920C2211yescharacteristic, complemented
270C2×#431C2211yescharacteristic, complemented
271C22×#41C2312yes—
272C22×#41C2314yes—
273C2×#137C2314yes—
274C2×#137C2314yes—
275C2×#137C2314yes—
276C2×#137C2314yes—
277C2×AGL(1,ℤ/8)C2314yes—
278C2×AGL(1,ℤ/8)C2314yes—
279C2×#135C2314yes—
280C2×#135C2314yes—
281C22×Q16C2314yes—
282C22×Q16C2314yes—
283C22×SD16C2314yes—
284C22×SD16C2314yes—
285#564—22no—
286#563—24no—
287#563—24no—
288#563—24no—
289#563—22no—
290#563—22no—
291#563—22no—
292#562—22no—
293#562—22no—
294#562—22no—
295#562—24no—
296#562—24no—
297H(3,𝔽4)—22no—
298#560—24no—
299#560—24no—
300#560—24no—
301#559—22no—
302#559C2314yes—
303#559C2312yes—
304#557—22no—
305#557C2312yes—
306#557C2312yes—
307#557C2312yes—
308#557C2314yes—
309#556—24no—
310#556—22no—
311#556—24no—
312#556C2312yes—
313#556C2314yes—
314#556C2312yes—
315#556C2314yes—
316#556C2312yes—
317#554—22no—
318#554—22no—
319#554—22no—
320#554—24no—
321#554—24no—
322#554—24no—
323#554—24no—
324#554—22no—
325#554C2314yes—
326#554C2314yes—
327#553—24no—
328#553—22no—
329#553—22no—
330#553—22no—
331#553—24no—
332#553—24no—
333#553—24no—
334#553—22no—
335#553C2314yes—
336#552—24no—
337#552—22no—
338#552—24no—
339#552—24no—
340#552—24no—
341#552—24no—
342#552—24no—
343#552—24no—
344#552—24no—
345#552—22no—
346#552C2314yes—
347#552C2314yes—
348#551—24no—
349#551—24no—
350#551—24no—
351#551—24no—
352#551—24no—
353#551—24no—
354#551—24no—
355#551—24no—
356#550C2312yes—
357#550C2314yes—
358#550C2312yes—
359D4×Q8—22no—
360D4×Q8—22no—
361D4×Q8C2312yes—
362D4×Q8C2314yes—
363D4×Q8C2314yes—
364D4×Q8C2314yes—
365D4×Q8C2312yes—
366D4×Q8C2312yes—
367#548—22no—
368#548—22no—
369#548—22no—
370#548C2314yes—
371#548C2314yes—
372#548C2314yes—
373#548C2314yes—
374#548C2314yes—
375#547—24no—
376#547—22no—
377#547C2312yes—
378#547C2314yes—
379#547C2312yes—
380#547C2312yes—
381#546—22no—
382#546—22no—
383#546—24no—
384#546—22no—
385#546—24no—
386#546—24no—
387#546—24no—
388#546C2314yes—
389#546C2314yes—
390#546C2314yes—
391#546C2314yes—
392D42—24no—
393D42—22no—
394D42—22no—
395D42C2314yes—
396D42C2312yes—
397#544—22no—
398#544—22no—
399#544—22no—
400#544—22no—
401#544C2314yes—
402#543—22no—
403#543—22no—
404#543—22no—
405#543—22no—
406#542—24no—
407#542—24no—
408#542—22no—
409#542—22no—
410#542—24no—
411#542—22no—
412#542—22no—
413#542C2314yes—
414#542C2314yes—
415#542C2314yes—
416#542C2314yes—
417#541—24no—
418#541—24no—
419#541—22no—
420#541—24no—
421#541—22no—
422#541—24no—
423#541C2314yes—
424#541C2314yes—
425#541C2314yes—
426#540—22no—
427#540—24no—
428#540—22no—
429#540C2314yes—
430#539—24no—
431#539—24no—
432#539—24no—
433#539—24no—
434#539—24no—
435#539—24no—
436#539—22no—
437#539—24no—
438#539—22no—
439#539—22no—
440#539—22no—
441#538—24no—
442#538—24no—
443#538—24no—
444#538—24no—
445#538—22no—
446#538—22no—
447#538—22no—
448#538—22no—
449#538—22no—
450#538—22no—
451#537—22no—
452#537—22no—
453#537—22no—
454#536—22no—
455#536C2314yes—
456#536C2314yes—
457#536C2314yes—
458#535—22no—
459#535—22no—
460#535C2314yes—
461#535C2314yes—
462#534—22no—
463#534—24no—
464#534—22no—
465#534—22no—
466#534—22no—
467#533—22no—
468#533—21no—
469#533—21no—
470#533—21no—
471#533—21no—
472#533C2311yescharacteristic
473#533C2311yescharacteristic
474#533C2312yes—
475#533C2314yes—
476#533C2312yes—
477#533C2312yes—
478#533C2312yes—
479#533C2311yescharacteristic
480#532—24no—
481#532—22no—
482#532—21no—
483#532—21no—
484#532—21no—
485#532—21no—
486#532C2312yes—
487#532C2312yes—
488#532C2312yes—
489#532C2312yes—
490#532C2311yescharacteristic
491#532C2314yes—
492#532C2311yescharacteristic
493#532C2311yescharacteristic
494C2×C4⋊Q8C2311yescharacteristic
495C2×C4⋊Q8C2311yescharacteristic
496C2×C4⋊Q8C2311yescharacteristic
497C2×#127C2311yescharacteristic
498#529—24no—
499#529—24no—
500#529—22no—
501#529—24no—
502#529—22no—
503#529—24no—
504#529—24no—
505#529—21no—
506#529—21no—
507#529—21no—
508#529—21no—
509#529—21no—
510#529—21no—
511#529—21no—
512#529—21no—
513#529D412yes—
514#529D412yes—
515#529D412yes—
516#529D412yes—
517#529C2312yes—
518#529C2314yes—
519#529C2312yes—
520#529C2312yes—
521#529C2312yes—
522#529C2312yes—
523#529C2312yes—
524#529C2312yes—
525#529C2312yes—
526#529C2312yes—
527#529C2312yes—
528C2×#126—21no—
529C2×#126D412yes—
530C2×#125—21no—
531C2×#125D411yescharacteristic
532C2×#125C2311yescharacteristic
533C2×#124D411yescharacteristic
534C2×#124C2311yescharacteristic
535C2×#124C2312yes—
536#525—21no—
537#525—21no—
538#525—22no—
539#525—24no—
540#525—24no—
541#525—24no—
542#525—24no—
543#525—24no—
544#525C2312yes—
545#525C2314yes—
546#525C2314yes—
547C2×#123—21no—
548C2×#123D412yes—
549C2×C22⋊Q8—21no—
550C2×C22⋊Q8—22no—
551C2×C22⋊Q8D411yescharacteristic
552C2×C22⋊Q8C2311yescharacteristic
553C2×C22⋊Q8C2312yes—
554C2×C22⋊Q8C2314yes—
555C2×#121—21no—
556C2×#121—21no—
557C2×#121D411yescharacteristic
558C2×#121C2311yescharacteristic
559#520—22no—
560#520C2314yes—
561#519—22no—
562#519C2314yes—
563#518—22no—
564#518—22no—
565C4×#41—22no—
566C4×#41—21no—
567C4×#41—21no—
568C4×#41C2312yes—
569C4×#41C2314yes—
570C2×C4×Q8—21no—
571C2×C4×Q8C2311yescharacteristic
572C2×C4×Q8C2312yes—
573C2×C4×Q8C2311yescharacteristic
574C2×C4×D4—21no—
575C2×C4×D4—24no—
576C2×C4×D4—22no—
577C2×C4×D4—21no—
578C2×C4×D4—21no—
579C2×C4×D4C2311yescharacteristic
580C2×C4×D4C2312yes—
581C2×C4×D4C2311yescharacteristic
582C2×#117—21no—
583C2×#117—21no—
584C2×#117C2312yes—
585C22×C42C2311yescharacteristic
586#501C2314yes—
587#499C2312yes—
588#499C2312yes—
589#497C2314yes—
590#497C2314yes—
591#497C2314yes—
592#497C2314yes—
593#497C2314yes—
594#496C2314yes—
595#496C2314yes—
596#495C2314yes—
597#495C2314yes—
598#495C2314yes—
599#495C2314yes—
600#495C2312yes—
601#495C2312yes—
602#494C2312yes—
603#494C2314yes—
604#494C2312yes—
605#494C2314yes—
606#492C2312yes—
607#492C2314yes—
608#492C2312yes—
609#492C2314yes—
610#491C2314yes—
611#491C2314yes—
612#491C2314yes—
613#490C2314yes—
614#490C2314yes—
615#489C2314yes—
616#489C2314yes—
617#489C2314yes—
618#488C2314yes—
619#488C2314yes—
620#488C2314yes—
621#488C2314yes—
622#488C2312yes—
623#488C2312yes—
624#488C2312yes—
625#488C2312yes—
626#487C2312yes—
627#487C2314yes—
628#487C2312yes—
629#487C2314yes—
630#486C2312yes—
631#486C2314yes—
632#486C2312yes—
633#486C2314yes—
634#485C2314yes—
635#485C2312yes—
636#485C2314yes—
637#485C2312yes—
638#485C2314yes—
639#485C2314yes—
640#484C2314yes—
641#484C2312yes—
642#484C2314yes—
643#483C2312yes—
644#483C2314yes—
645#482C2312yes—
646#482C2312yes—
647#482C2314yes—
648#482C2314yes—
649#481C2314yes—
650#481C2312yes—
651#481C2314yes—
652#480C2312yes—
653#480C2314yes—
654#479C2312yes—
655#479C2314yes—
656#479C2312yes—
657#479C2314yes—
658#478C2312yes—
659#478C2314yes—
660#478C2312yes—
661#478C2314yes—
662#477C2314yes—
663#477C2312yes—
664#477C2314yes—
665#476C2314yes—
666#476C2312yes—
667#475C2312yes—
668#475C2312yes—
669#475C2314yes—
670#475C2314yes—
671#475C2312yes—
672#474C2312yes—
673#474C2312yes—
674#474C2314yes—
675#474C2312yes—
676#470C2314yes—
677#470C2314yes—
678#470C2314yes—
679#470C2314yes—
680#470C2314yes—
681#469C2314yes—
682#468C2314yes—
683#468C2314yes—
684#468C2314yes—
685#468C2314yes—
686#468C2314yes—
687#468C2314yes—
688#467C2312yes—
689#467C2312yes—
690#467C2314yes—
691#467C2314yes—
692#467C2314yes—
693#466C2312yes—
694#466C2312yes—
695#466C2314yes—
696#465C2312yes—
697#465C2312yes—
698#465C2312yes—
699#465C2312yes—
700#465C2314yes—
701#465C2314yes—
702#465C2314yes—
703#465C2314yes—
704#464C2312yes—
705#464C2314yes—
706#464C2312yes—
707#464C2314yes—
708#464C2314yes—
709#464C2314yes—
710#464C2314yes—
711#464C2314yes—
712#464C2314yes—
713#464C2314yes—
714#464C2314yes—
715#464C2314yes—
716#464C2314yes—
717#464C2314yes—
718#464C2314yes—
719#464C2314yes—
720#464C2314yes—
721#464C2314yes—
722#464C2314yes—
723#464C2314yes—
724#463C2312yes—
725#463C2314yes—
726#463C2312yes—
727#463C2314yes—
728#463C2314yes—
729#463C2314yes—
730#463C2314yes—
731#463C2314yes—
732#462C2312yes—
733#462C2314yes—
734#462C2312yes—
735#462C2314yes—
736#462C2312yes—
737#462C2314yes—
738#462C2312yes—
739#462C2314yes—
740#462C2314yes—
741#462C2312yes—
742#462C2314yes—
743#461C2312yes—
744#461C2312yes—
745#461C2314yes—
746#461C2312yes—
747#461C2314yes—
748#461C2312yes—
749#461C2312yes—
750#461C2314yes—
751#460C2314yes—
752#460C2312yes—
753#460C2314yes—
754#460C2312yes—
755#460C2314yes—
756#460C2312yes—
757#460C2314yes—
758#459C2312yes—
759#459C2312yes—
760#459C2314yes—
761#459C2312yes—
762#452C2314yes—
763#452C2314yes—
764#452C2314yes—
765#452C2314yes—
766#452C2314yes—
767#452C2312yes—
768#452C2312yes—
769#452C2314yes—
770#452C2314yes—
771#452C2314yes—
772#452C2314yes—
773#452C2314yes—
774#452C2314yes—
775#452C2314yes—
776#452C2314yes—
777#452C2314yes—
778#452C2314yes—
779#452C2314yes—
780#452C2314yes—
781#452C2314yes—
782#452C2314yes—
783#452C2314yes—
784#451C2314yes—
785#451C2312yes—
786#451C2314yes—
787#451C2314yes—
788#451C2314yes—
789#451C2314yes—
790#451C2314yes—
791#451C2314yes—
792#450C2312yes—
793#450C2314yes—
794#450C2314yes—
795#450C2314yes—
796#450C2314yes—
797#449C2314yes—
798#449C2314yes—
799#449C2312yes—
800#449C2312yes—
801#449C2314yes—
802#449C2314yes—
803#449C2314yes—
804#449C2314yes—
805#448C2312yes—
806#448C2314yes—
807#448C2314yes—
808#448C2314yes—
809#448C2314yes—
810#448C2314yes—
811#447C2312yes—
812#447C2314yes—
813#447C2314yes—
814#446C2312yes—
815#446C2312yes—
816#446C2314yes—
817C8×Q8C2312yes—
818C8×Q8C2312yes—
819C8×Q8C2314yes—
820#442C2314yes—
821#441C2314yes—
822#441C2314yes—
823#441C2314yes—
824#440C2314yes—
825#440C2314yes—
826#440C2314yes—
827#440C2314yes—
828C4×Q16C2312yes—
829C4×Q16C2314yes—
830C4×Q16C2312yes—
831C4×Q16C2314yes—
832C4×Q16C2314yes—
833C4×Q16C2314yes—
834C4×Q16C2314yes—
835C4×SD16C2314yes—
836C4×SD16C2312yes—
837C4×SD16C2312yes—
838C4×SD16C2312yes—
839C4×SD16C2312yes—
840C4×SD16C2314yes—
841C4×SD16C2314yes—
842C4×SD16C2314yes—
843C4×SD16C2314yes—
844C4×SD16C2314yes—
845C4×D8C2312yes—
846C4×D8C2312yes—
847C4×D8C2314yes—
848#436C2312yes—
849#436C2314yes—
850#436C2312yes—
851#436C2314yes—
852#436C2314yes—
853#435C2314yes—
854#435C2314yes—
855#435C2314yes—
856#435C2314yes—
857C8×D4C2312yes—
858C8×D4C2312yes—
859C8×D4C2314yes—
860C8×D4C2314yes—
861C8×D4C2314yes—
862#433C2314yes—
863#433C2314yes—
864#433C2314yes—
865#433C2314yes—
866#432C2314yes—
867#432C2312yes—
868#432C2312yes—
869#431C2311yescharacteristic
870#431C2311yescharacteristic
871#431C2311yescharacteristic
872#431C2311yescharacteristic
873#431C2314yes—
874#431C2312yes—
875#431C2311yescharacteristic
876#431C2311yescharacteristic
877#431C2312yes—
878#431C2312yes—
879#424C2314yes—
880#424C2314yes—
881#423C2312yes—
882C2×C4⋊C8C2312yes—
883#419C2314yes—
884#418C2314yes—
885#417C2314yes—
886#417C2314yes—
887#417C2314yes—
888#417C2314yes—
889#416C2314yes—
890#416C2314yes—
891C2×#103C2314yes—
892C2×#103C2314yes—
893C2×#102C2314yes—
894C2×#102C2314yes—
895#407C2312yes—
896#407C2314yes—
897C2×C22⋊C8C2312yes—
898C2×C22⋊C8C2314yes—
899#405C2314yes—
900#405C2314yes—
901C4×M16C2312yes—
902C2×C4×C8C2311yescharacteristic
903C2×C4×C8C2311yescharacteristic
904C2×#41—22no—
905C2×#41—22no—
906C2×#41—21no—
907C2×#41—21no—
908C2×#41—24no—
909C2×#41—22no—
910C2×#41—22no—
911C2×#41—24no—
912C2×#41—84no—
913C2×#41—84no—
914C2×#41—84no—
915C2×#41C2412yes—
916C2×#41C2414yes—
917C2×#41C2414yes—
918C2×#41C2414yes—
919C2×#41C2414yes—
920C2×#41C2414yes—
921C22×Q8—22no—
922C22×Q8—21no—
923C22×Q8C2×D411yescharacteristic
924C22×Q8C2411yescharacteristic
925C22×Q8C2412yes—
926C22×Q8C2414yes—
927C22×Q8C2412yes—
928C22×Q8C2414yes—
929C22×D4—21no—
930C22×D4—22no—
931C22×D4—24no—
932C22×D4—24no—
933C22×D4—22no—
934C22×D4—21no—
935C22×D4—21no—
936C22×D4C2×D412yes—
937C22×D4C2×D411yescharacteristic
938C22×D4C2411yescharacteristic
939C22×D4C2412yes—
940C22×D4C2414yes—
941C23×C4—21no—
942C23×C4—22no—
943C23×C4—24no—
944C23×C4C2×D411yescharacteristic
945C23×C4C2×D411yescharacteristic
946C23×C4C2412yes—
947C23×C4C2411yescharacteristic
948#137—84no—
949#137—84no—
950#137—84no—
951#137—84no—
952AGL(1,ℤ/8)—84no—
953AGL(1,ℤ/8)—84no—
954#135—84no—
955#135—84no—
956C2×Q16—84no—
957C2×Q16—84no—
958C2×Q16C2412yes—
959C2×Q16C2414yes—
960C2×Q16C2414yes—
961C2×Q16C2414yes—
962C2×Q16C2414yes—
963C2×Q16C2414yes—
964C2×Q16C2414yes—
965C2×Q16C2412yes—
966C2×Q16C2414yes—
967C2×Q16C2414yes—
968C2×SD16—84no—
969C2×SD16—84no—
970C2×SD16C2412yes—
971C2×SD16C2414yes—
972C2×SD16C2414yes—
973C2×SD16C2414yes—
974C2×SD16C2414yes—
975C2×SD16C2414yes—
976C2×SD16C2414yes—
977C2×SD16C2412yes—
978C2×SD16C2414yes—
979C2×SD16C2414yes—
980C2×SD16C2414yes—
981C2×SD16C2412yes—
982C2×SD16C2414yes—
983C2×SD16C2412yes—
984C2×D8C2412yes—
985C2×D8C2414yes—
986C2×D8C2414yes—
987C2×D8C2412yes—
988C2×M16C2414yes—
989C2×M16C2414yes—
990C2×M16C2414yes—
991C22×C8C2412yes—
992C22×C8C2414yes—
993C22×C8C2412yes—
994C22×C8C2414yes—
995C4⋊Q8—22no—
996C4⋊Q8—24no—
997C4⋊Q8—22no—
998C4⋊Q8—24no—
999C4⋊Q8—22no—
1000C4⋊Q8—24no—
1001C4⋊Q8—24no—
1002C4⋊Q8—24no—
1003C4⋊Q8—21no—
1004C4⋊Q8—21no—
1005C4⋊Q8—21no—
1006C4⋊Q8—21no—
1007C4⋊Q8—21no—
1008C4⋊Q8—21no—
1009C4⋊Q8C2412yes—
1010C4⋊Q8C2412yes—
1011C4⋊Q8C2412yes—
1012C4⋊Q8C2412yes—
1013C4⋊Q8C2411yescharacteristic
1014C4⋊Q8C2414yes—
1015C4⋊Q8C2414yes—
1016C4⋊Q8C2412yes—
1017C4⋊Q8C2412yes—
1018C4⋊Q8C2411yescharacteristic
1019C4⋊Q8C2411yescharacteristic
1020C4⋊Q8C2414yes—
1021#127—22no—
1022#127—24no—
1023#127—21no—
1024#127—21no—
1025#127C2412yes—
1026#127C2412yes—
1027#127C2411yescharacteristic
1028#127C2414yes—
1029#126—24no—
1030#126—24no—
1031#126—24no—
1032#126—24no—
1033#126—24no—
1034#126—24no—
1035#126—24no—
1036#126—24no—
1037#126—24no—
1038#126—24no—
1039#126—24no—
1040#126—24no—
1041#126—24no—
1042#126—24no—
1043#126—24no—
1044#126—24no—
1045#126—24no—
1046#126—24no—
1047#126—24no—
1048#126—24no—
1049#126—22no—
1050#126—22no—
1051#126—22no—
1052#126—22no—
1053#126—22no—
1054#126—22no—
1055#126—24no—
1056#126C2×D414yes—
1057#126C2×D414yes—
1058#126C2×D414yes—
1059#126C2×D414yes—
1060#125—24no—
1061#125—24no—
1062#125—24no—
1063#125—22no—
1064#125—24no—
1065#125—24no—
1066#125—22no—
1067#125—24no—
1068#125—24no—
1069#125—24no—
1070#125—24no—
1071#125—24no—
1072#125—24no—
1073#125—24no—
1074#125—24no—
1075#125—24no—
1076#125—24no—
1077#125—24no—
1078#125—22no—
1079#125—22no—
1080#125—22no—
1081#125—22no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—24no—
1087#125C2×D412yes—
1088#125C2×D412yes—
1089#125C2×D412yes—
1090#125C2×D412yes—
1091#125C2412yes—
1092#125C2412yes—
1093#125C2412yes—
1094#125C2414yes—
1095#124—22no—
1096#124—24no—
1097#124—22no—
1098#124—24no—
1099#124—24no—
1100#124—24no—
1101#124—24no—
1102#124—24no—
1103#124—24no—
1104#124—24no—
1105#124—24no—
1106#124—24no—
1107#124—21no—
1108#124—21no—
1109#124—22no—
1110#124—22no—
1111#124—21no—
1112#124—21no—
1113#124C2×D412yes—
1114#124C2×D412yes—
1115#124C2×D412yes—
1116#124C2×D412yes—
1117#124C2412yes—
1118#124C2412yes—
1119#124C2414yes—
1120#124C2414yes—
1121#124C2412yes—
1122#124C2414yes—
1123#124C2414yes—
1124#124C2414yes—
1125#123—24no—
1126#123—24no—
1127#123—22no—
1128#123—22no—
1129#123—22no—
1130#123—22no—
1131#123—22no—
1132#123—22no—
1133#123—22no—
1134#123—24no—
1135#123—24no—
1136#123—24no—
1137#123—24no—
1138#123—24no—
1139#123—24no—
1140#123—24no—
1141#123—24no—
1142#123—24no—
1143#123—24no—
1144#123—24no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—24no—
1151#123—24no—
1152#123—24no—
1153#123—24no—
1154#123—24no—
1155#123—24no—
1156#123—24no—
1157#123—24no—
1158#123—24no—
1159#123—24no—
1160#123—24no—
1161#123—24no—
1162#123C2×D414yes—
1163#123C2×D414yes—
1164#123C2×D414yes—
1165#123C2×D414yes—
1166C22⋊Q8—22no—
1167C22⋊Q8—22no—
1168C22⋊Q8—24no—
1169C22⋊Q8—24no—
1170C22⋊Q8—22no—
1171C22⋊Q8—22no—
1172C22⋊Q8—22no—
1173C22⋊Q8—22no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—22no—
1177C22⋊Q8—22no—
1178C22⋊Q8—24no—
1179C22⋊Q8—24no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
1183C22⋊Q8—21no—
1184C22⋊Q8—24no—
1185C22⋊Q8—24no—
1186C22⋊Q8—22no—
1187C22⋊Q8—24no—
1188C22⋊Q8—24no—
1189C22⋊Q8—24no—
1190C22⋊Q8—24no—
1191C22⋊Q8—24no—
1192C22⋊Q8—24no—
1193C22⋊Q8—24no—
1194C22⋊Q8—22no—
1195C22⋊Q8—24no—
1196C22⋊Q8—24no—
1197C22⋊Q8—24no—
1198C22⋊Q8—24no—
1199C22⋊Q8—24no—
1200C22⋊Q8—24no—
1201C22⋊Q8—24no—
1202C22⋊Q8—24no—
1203C22⋊Q8—24no—
1204C22⋊Q8—24no—
1205C22⋊Q8—24no—
1206C22⋊Q8—24no—
1207C22⋊Q8—24no—
1208C22⋊Q8—24no—
1209C22⋊Q8—24no—
1210C22⋊Q8—24no—
1211C22⋊Q8—24no—
1212C22⋊Q8—24no—
1213C22⋊Q8—24no—
1214C22⋊Q8—24no—
1215C22⋊Q8—24no—
1216C22⋊Q8—24no—
1217C22⋊Q8C2×D412yes—
1218C22⋊Q8C2×D412yes—
1219C22⋊Q8C2×D412yes—
1220C22⋊Q8C2×D412yes—
1221C22⋊Q8C2412yes—
1222C22⋊Q8C2414yes—
1223C22⋊Q8C2412yes—
1224C22⋊Q8C2414yes—
1225C22⋊Q8C2414yes—
1226C22⋊Q8C2414yes—
1227C22⋊Q8C2412yes—
1228C22⋊Q8C2412yes—
1229C22⋊Q8C2414yes—
1230C22⋊Q8C2414yes—
1231C22⋊Q8C2414yes—
1232#121—24no—
1233#121—24no—
1234#121—24no—
1235#121—22no—
1236#121—24no—
1237#121—24no—
1238#121—22no—
1239#121—24no—
1240#121—24no—
1241#121—22no—
1242#121—22no—
1243#121—22no—
1244#121—22no—
1245#121—22no—
1246#121—22no—
1247#121—22no—
1248#121—22no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—21no—
1253#121—21no—
1254#121—21no—
1255#121—24no—
1256#121—24no—
1257#121—24no—
1258#121—24no—
1259#121—24no—
1260#121—24no—
1261#121—24no—
1262#121—22no—
1263#121—22no—
1264#121—24no—
1265#121—24no—
1266#121—24no—
1267#121—24no—
1268#121—24no—
1269#121—24no—
1270#121—24no—
1271#121—24no—
1272#121—24no—
1273#121—24no—
1274#121C2×D412yes—
1275#121C2×D412yes—
1276#121C2×D412yes—
1277#121C2×D412yes—
1278#121C2412yes—
1279#121C2412yes—
1280#121C2412yes—
1281#121C2412yes—
1282#121C2414yes—
1283#121C2414yes—
1284#121C2414yes—
1285#120—22no—
1286#120—24no—
1287#120—24no—
1288#120—24no—
1289#120—24no—
1290#120—24no—
1291#120—24no—
1292#120—24no—
1293#120—24no—
1294#120—24no—
1295#120—24no—
1296#120—24no—
1297#120—24no—
1298#120—24no—
1299C4×Q8—22no—
1300C4×Q8—22no—
1301C4×Q8—22no—
1302C4×Q8—24no—
1303C4×Q8—24no—
1304C4×Q8—24no—
1305C4×Q8—22no—
1306C4×Q8—22no—
1307C4×Q8—22no—
1308C4×Q8—22no—
1309C4×Q8—22no—
1310C4×Q8—21no—
1311C4×Q8—21no—
1312C4×Q8—22no—
1313C4×Q8—22no—
1314C4×Q8—21no—
1315C4×Q8—21no—
1316C4×Q8—21no—
1317C4×Q8—21no—
1318C4×Q8—24no—
1319C4×Q8C2×D412yes—
1320C4×Q8C2×D412yes—
1321C4×Q8C2412yes—
1322C4×Q8C2414yes—
1323C4×Q8C2412yes—
1324C4×Q8C2414yes—
1325C4×Q8C2412yes—
1326C4×Q8C2412yes—
1327C4×Q8C2414yes—
1328C4×Q8C2414yes—
1329C4×Q8C2414yes—
1330C4×Q8C2414yes—
1331C4×Q8C2414yes—
1332C4×Q8C2412yes—
1333C4×Q8C2412yes—
1334C4×D4—24no—
1335C4×D4—22no—
1336C4×D4—24no—
1337C4×D4—24no—
1338C4×D4—24no—
1339C4×D4—24no—
1340C4×D4—22no—
1341C4×D4—22no—
1342C4×D4—24no—
1343C4×D4—24no—
1344C4×D4—22no—
1345C4×D4—22no—
1346C4×D4—22no—
1347C4×D4—22no—
1348C4×D4—22no—
1349C4×D4—22no—
1350C4×D4—22no—
1351C4×D4—22no—
1352C4×D4—22no—
1353C4×D4—24no—
1354C4×D4—24no—
1355C4×D4—24no—
1356C4×D4—24no—
1357C4×D4—24no—
1358C4×D4—24no—
1359C4×D4—22no—
1360C4×D4—24no—
1361C4×D4—22no—
1362C4×D4—24no—
1363C4×D4—24no—
1364C4×D4—24no—
1365C4×D4—24no—
1366C4×D4—24no—
1367C4×D4—24no—
1368C4×D4—24no—
1369C4×D4—24no—
1370C4×D4—22no—
1371C4×D4—24no—
1372C4×D4—22no—
1373C4×D4—22no—
1374C4×D4—22no—
1375C4×D4—22no—
1376C4×D4—22no—
1377C4×D4—22no—
1378C4×D4—22no—
1379C4×D4—21no—
1380C4×D4—21no—
1381C4×D4—24no—
1382C4×D4—21no—
1383C4×D4—21no—
1384C4×D4—21no—
1385C4×D4—21no—
1386C4×D4C2×D412yes—
1387C4×D4C2×D414yes—
1388C4×D4C2×D412yes—
1389C4×D4C2×D414yes—
1390C4×D4C2412yes—
1391C4×D4C2412yes—
1392C4×D4C2412yes—
1393C4×D4C2412yes—
1394C4×D4C2414yes—
1395C4×D4C2414yes—
1396C4×D4C2414yes—
1397C4×D4C2414yes—
1398C4×D4C2412yes—
1399C4×D4C2414yes—
1400C4×D4C2412yes—
1401#117—22no—
1402#117—22no—
1403#117—22no—
1404#117—22no—
1405#117—21no—
1406#117—21no—
1407#117—24no—
1408#117—22no—
1409#117—24no—
1410#117—22no—
1411#117—24no—
1412#117—24no—
1413#117—24no—
1414#117—24no—
1415#117—24no—
1416#117—24no—
1417#117—22no—
1418#117—22no—
1419#117—22no—
1420#117—22no—
1421#117—22no—
1422#117—22no—
1423#117—24no—
1424#117—22no—
1425#117—24no—
1426#117C2×D414yes—
1427#117C2×D414yes—
1428#117C2412yes—
1429#117C2414yes—
1430#117C2414yes—
1431#117C2414yes—
1432C2×C4⋊C4—21no—
1433C2×C4⋊C4—21no—
1434C2×C4⋊C4—21no—
1435C2×C4⋊C4—21no—
1436C2×C4⋊C4—21no—
1437C2×C4⋊C4—21no—
1438C2×C4⋊C4—21no—
1439C2×C4⋊C4—21no—
1440C2×C4⋊C4—22no—
1441C2×C4⋊C4—22no—
1442C2×C4⋊C4—21no—
1443C2×C4⋊C4—24no—
1444C2×C4⋊C4—22no—
1445C2×C4⋊C4—24no—
1446C2×C4⋊C4—22no—
1447C2×C4⋊C4—24no—
1448C2×C4⋊C4C2×D412yes—
1449C2×C4⋊C4C2×D412yes—
1450C2×C4⋊C4C2×D411yescharacteristic
1451C2×C4⋊C4C2×D412yes—
1452C2×C4⋊C4C2×D411yescharacteristic
1453C2×C4⋊C4C2×D412yes—
1454C2×C4⋊C4C2411yescharacteristic
1455C2×C4⋊C4C2411yescharacteristic
1456C2×C4⋊C4C2412yes—
1457C2×C4⋊C4C2414yes—
1458C2×C22⋊C4—22no—
1459C2×C22⋊C4—21no—
1460C2×C22⋊C4—24no—
1461C2×C22⋊C4—21no—
1462C2×C22⋊C4—21no—
1463C2×C22⋊C4—22no—
1464C2×C22⋊C4—22no—
1465C2×C22⋊C4—21no—
1466C2×C22⋊C4—21no—
1467C2×C22⋊C4—24no—
1468C2×C22⋊C4—24no—
1469C2×C22⋊C4—24no—
1470C2×C22⋊C4—24no—
1471C2×C22⋊C4C2×D412yes—
1472C2×C22⋊C4C2×D412yes—
1473C2×C22⋊C4C2×D412yes—
1474C2×C22⋊C4C2×D412yes—
1475C2×C22⋊C4C2×D412yes—
1476C2×C42—21no—
1477C2×C42—22no—
1478C2×C42—22no—
1479C2×C42—24no—
1480C2×C42C2×D411yescharacteristic
1481C2×C42C2×D411yescharacteristic
1482C2×C42C2×D411yescharacteristic
1483C2×C42C2×D411yescharacteristic
1484C2×C42C2×D411yescharacteristic
1485C2×C42C2×D411yescharacteristic
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2411yescharacteristic
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493#107C2412yes—
1494#107C2414yes—
1495#107C2412yes—
1496#107C2412yes—
1497#107C2414yes—
1498#107C2412yes—
1499#106C2412yes—
1500#106C2412yes—
1501#106C2414yes—
1502#106C2412yes—
1503#106C2412yes—
1504#106C2414yes—
1505C4⋊C8C2412yes—
1506C4⋊C8C2412yes—
1507C4⋊C8C2412yes—
1508C4⋊C8C2412yes—
1509C4⋊C8C2414yes—
1510C4⋊C8C2412yes—
1511C4⋊C8C2412yes—
1512C4⋊C8C2414yes—
1513C4⋊C8C2414yes—
1514C4⋊C8C2414yes—
1515C4⋊C8C2414yes—
1516#103C2412yes—
1517#103C2414yes—
1518#103C2414yes—
1519#103C2414yes—
1520#103C2414yes—
1521#103C2414yes—
1522#103C2414yes—
1523#103C2412yes—
1524#103C2414yes—
1525#103C2412yes—
1526#103C2414yes—
1527#103C2414yes—
1528#103C2414yes—
1529#103C2412yes—
1530#103C2414yes—
1531#103C2412yes—
1532#103C2412yes—
1533#103C2414yes—
1534#103C2412yes—
1535#103C2414yes—
1536#103C2414yes—
1537#103C2412yes—
1538#102C2412yes—
1539#102C2414yes—
1540#102C2414yes—
1541#102C2414yes—
1542#102C2414yes—
1543#102C2414yes—
1544#102C2414yes—
1545#102C2412yes—
1546#102C2414yes—
1547#102C2412yes—
1548#102C2414yes—
1549#102C2414yes—
1550#102C2414yes—
1551#102C2412yes—
1552#102C2412yes—
1553#102C2412yes—
1554#102C2412yes—
1555#102C2412yes—
1556C22⋊C8C2412yes—
1557C22⋊C8C2412yes—
1558C22⋊C8C2412yes—
1559C22⋊C8C2412yes—
1560C22⋊C8C2412yes—
1561C22⋊C8C2414yes—
1562C22⋊C8C2414yes—
1563C22⋊C8C2412yes—
1564C22⋊C8C2414yes—
1565C22⋊C8C2414yes—
1566C22⋊C8C2414yes—
1567#97C2414yes—
1568#97C2414yes—
1569#97C2414yes—
1570C4×C8C2412yes—
1571C4×C8C2412yes—
1572C4×C8C2411yescharacteristic
1573C4×C8C2411yescharacteristic
1574C4×C8C2411yescharacteristic
1575C4×C8C2411yescharacteristic
1576C4×C8C2412yes—
1577C4×C8C2412yes—
1578C4×C8C2414yes—
1579C4×C8C2414yes—
1580C24—21no—
1581C24—22no—
1582C24—24no—
1583C24C22×D411yescharacteristic
1584C24C22×D412yes—
1585#41—44no—
1586#41—42no—
1587#41—42no—
1588#41—44no—
1589#41—44no—
1590#41—44no—
1591#41—44no—
1592#41—44no—
1593#41—44no—
1594#41—44no—
1595#41—44no—
1596#41—44no—
1597#41—82no—
1598#41—82no—
1599#41—88no—
1600#41—84no—
1601#41—84no—
1602#41—84no—
1603#41—88no—
1604#41—84no—
1605C2×Q8—22no—
1606C2×Q8—24no—
1607C2×Q8—24no—
1608C2×Q8—21no—
1609C2×Q8—21no—
1610C2×Q8—21no—
1611C2×Q8—22no—
1612C2×Q8—22no—
1613C2×Q8—24no—
1614C2×Q8—22no—
1615C2×Q8—42no—
1616C2×Q8—44no—
1617C2×Q8—44no—
1618C2×Q8—44no—
1619C2×Q8—44no—
1620C2×Q8—44no—
1621C2×Q8—42no—
1622C2×Q8—44no—
1623C2×Q8—82no—
1624C2×Q8—84no—
1625C2×Q8C22×D412yes—
1626C2×Q8C22×D412yes—
1627C2×Q8C2514yes—
1628C2×Q8C2512yes—
1629C2×Q8C2512yes—
1630C2×Q8C2514yes—
1631C2×D4—22no—
1632C2×D4—22no—
1633C2×D4—22no—
1634C2×D4—22no—
1635C2×D4—24no—
1636C2×D4—24no—
1637C2×D4—24no—
1638C2×D4—22no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—22no—
1645C2×D4—21no—
1646C2×D4—21no—
1647C2×D4—24no—
1648C2×D4—24no—
1649C2×D4—22no—
1650C2×D4—22no—
1651C2×D4—22no—
1652C2×D4—21no—
1653C2×D4—24no—
1654C2×D4—22no—
1655C2×D4—42no—
1656C2×D4—44no—
1657C2×D4—44no—
1658C2×D4—42no—
1659C2×D4—44no—
1660C2×D4—44no—
1661C2×D4—44no—
1662C2×D4—82no—
1663C2×D4—82no—
1664C2×D4—84no—
1665C2×D4—88no—
1666C2×D4—84no—
1667C2×D4—88no—
1668C2×D4C22×D414yes—
1669C2×D4C22×D412yes—
1670C2×D4C22×D414yes—
1671C2×D4C22×D412yes—
1672C2×D4C2514yes—
1673C2×D4C2512yes—
1674C2×D4C2512yes—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—22no—
1678C22×C4—22no—
1679C22×C4—21no—
1680C22×C4—22no—
1681C22×C4—24no—
1682C22×C4—24no—
1683C22×C4—24no—
1684C22×C4—22no—
1685C22×C4—22no—
1686C22×C4—24no—
1687C22×C4—22no—
1688C22×C4—22no—
1689C22×C4—24no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—24no—
1695C22×C4—24no—
1696C22×C4—22no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—44no—
1700C22×C4—42no—
1701C22×C4—82no—
1702C22×C4—84no—
1703C22×C4—88no—
1704C22×C4C22×D411yescharacteristic
1705C22×C4C22×D411yescharacteristic
1706C22×C4C22×D411yescharacteristic
1707C22×C4C22×D411yescharacteristic
1708C22×C4C22×D411yescharacteristic
1709C22×C4C22×D411yescharacteristic
1710C22×C4C22×D411yescharacteristic
1711C22×C4C22×D411yescharacteristic
1712C22×C4C22×D411yescharacteristic
1713C22×C4C22×D411yescharacteristic
1714C22×C4C22×D411yescharacteristic
1715C22×C4C22×D411yescharacteristic
1716C22×C4C22×D411yescharacteristic
1717C22×C4C22×D411yescharacteristic
1718C22×C4C22×D411yescharacteristic
1719C22×C4C22×D412yes—
1720C22×C4C22×D412yes—
1721C22×C4C22×D412yes—
1722C22×C4C22×D414yes—
1723C22×C4C2511yescharacteristic
1724C22×C4C2511yescharacteristic
1725C22×C4C2511yescharacteristic
1726C22×C4C2514yes—
1727Q16—42no—
1728Q16—44no—
1729Q16—44no—
1730Q16—44no—
1731Q16—44no—
1732Q16—44no—
1733Q16—44no—
1734Q16—42no—
1735Q16—44no—
1736Q16—44no—
1737SD16—42no—
1738SD16—44no—
1739SD16—44no—
1740SD16—44no—
1741SD16—44no—
1742SD16—44no—
1743SD16—44no—
1744SD16—42no—
1745SD16—44no—
1746SD16—44no—
1747SD16—44no—
1748SD16—42no—
1749SD16—42no—
1750SD16—44no—
1751D8—42no—
1752D8—44no—
1753D8—42no—
1754D8—44no—
1755M16—44no—
1756M16—44no—
1757M16—44no—
1758C2×C8—42no—
1759C2×C8—44no—
1760C2×C8—42no—
1761C2×C8—44no—
1762C2×C8C2512yes—
1763C2×C8C2512yes—
1764C2×C8C2514yes—
1765C2×C8C2512yes—
1766C2×C8C2512yes—
1767C2×C8C2514yes—
1768C4⋊C4—22no—
1769C4⋊C4—22no—
1770C4⋊C4—22no—
1771C4⋊C4—22no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—22no—
1777C4⋊C4—22no—
1778C4⋊C4—22no—
1779C4⋊C4—22no—
1780C4⋊C4—22no—
1781C4⋊C4—22no—
1782C4⋊C4—22no—
1783C4⋊C4—22no—
1784C4⋊C4—24no—
1785C4⋊C4—22no—
1786C4⋊C4—22no—
1787C4⋊C4—22no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—22no—
1791C4⋊C4—22no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—22no—
1796C4⋊C4—24no—
1797C4⋊C4—22no—
1798C4⋊C4—21no—
1799C4⋊C4—21no—
1800C4⋊C4—22no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—22no—
1806C4⋊C4—22no—
1807C4⋊C4—22no—
1808C4⋊C4—21no—
1809C4⋊C4—21no—
1810C4⋊C4—24no—
1811C4⋊C4—21no—
1812C4⋊C4—21no—
1813C4⋊C4—24no—
1814C4⋊C4—22no—
1815C4⋊C4—24no—
1816C4⋊C4—22no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4C22×D412yes—
1822C4⋊C4C22×D414yes—
1823C4⋊C4C22×D414yes—
1824C4⋊C4C22×D412yes—
1825C4⋊C4C22×D414yes—
1826C4⋊C4C22×D414yes—
1827C4⋊C4C22×D414yes—
1828C4⋊C4C22×D414yes—
1829C4⋊C4C22×D414yes—
1830C4⋊C4C22×D412yes—
1831C4⋊C4C22×D414yes—
1832C4⋊C4C22×D412yes—
1833C4⋊C4C2512yes—
1834C4⋊C4C2514yes—
1835C4⋊C4C2512yes—
1836C4⋊C4C2512yes—
1837C4⋊C4C2512yes—
1838C22⋊C4—22no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—22no—
1842C22⋊C4—22no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—22no—
1849C22⋊C4—24no—
1850C22⋊C4—22no—
1851C22⋊C4—24no—
1852C22⋊C4—22no—
1853C22⋊C4—22no—
1854C22⋊C4—22no—
1855C22⋊C4—22no—
1856C22⋊C4—22no—
1857C22⋊C4—22no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—22no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—22no—
1869C22⋊C4—22no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—22no—
1874C22⋊C4—22no—
1875C22⋊C4—22no—
1876C22⋊C4—24no—
1877C22⋊C4—22no—
1878C22⋊C4—24no—
1879C22⋊C4—22no—
1880C22⋊C4—24no—
1881C22⋊C4C22×D414yes—
1882C22⋊C4C22×D414yes—
1883C22⋊C4C22×D414yes—
1884C22⋊C4C22×D414yes—
1885C22⋊C4C22×D414yes—
1886C22⋊C4C22×D414yes—
1887C22⋊C4C22×D414yes—
1888C22⋊C4C22×D414yes—
1889C22⋊C4C22×D414yes—
1890C22⋊C4C22×D414yes—
1891C42—22no—
1892C42—22no—
1893C42—22no—
1894C42—24no—
1895C42—24no—
1896C42—22no—
1897C42—22no—
1898C42—24no—
1899C42—24no—
1900C42—24no—
1901C42—24no—
1902C42—24no—
1903C42—24no—
1904C42C22×D411yescharacteristic
1905C42C22×D414yes—
1906C42C22×D411yescharacteristic
1907C42C22×D411yescharacteristic
1908C42C22×D411yescharacteristic
1909C42C22×D411yescharacteristic
1910C42C22×D411yescharacteristic
1911C42C22×D411yescharacteristic
1912C42C22×D411yescharacteristic
1913C42C22×D411yescharacteristic
1914C42C22×D411yescharacteristic
1915C42C22×D411yescharacteristic
1916C42C22×D411yescharacteristic
1917C42C2511yescharacteristic
1918C42C2511yescharacteristic
1919C42C2511yescharacteristic
1920C42C2514yes—
1921C42C2511yescharacteristic
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—24no—
1926C23—41no—
1927C23—41no—
1928C23—42no—
1929C23—42no—
1930C23—42no—
1931C23—42no—
1932C23—44no—
1933C23—82no—
1934C23—84no—
1935C23—81no—
1936C23—81no—
1937C23—82no—
1938C23—84no—
1939C23—84no—
1940C23C23×D411yescharacteristic
1941C23C23×D414yes—
1942C23C23×D411yescharacteristic
1943C23C23×D411yescharacteristic
1944Q8—24no—
1945Q8—22no—
1946Q8—24no—
1947Q8—22no—
1948Q8—24no—
1949Q8—24no—
1950Q8—22no—
1951Q8—22no—
1952Q8—24no—
1953Q8—42no—
1954Q8—44no—
1955Q8—81no—
1956Q8—84no—
1957Q8—82no—
1958Q8—84no—
1959Q8—82no—
1960Q8—82no—
1961Q8—84no—
1962Q8—81no—
1963Q8—81no—
1964D4—28no—
1965D4—24no—
1966D4—22no—
1967D4—22no—
1968D4—24no—
1969D4—22no—
1970D4—22no—
1971D4—24no—
1972D4—42no—
1973D4—44no—
1974D4—44no—
1975D4—48no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—81no—
1981D4—84no—
1982D4—82no—
1983D4—82no—
1984D4—82no—
1985D4—82no—
1986D4—84no—
1987D4—81no—
1988D4—84no—
1989D4—81no—
1990D4—84no—
1991D4—84no—
1992D4—84no—
1993D4—84no—
1994D4—84no—
1995D4—84no—
1996D4—82no—
1997D4—84no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—24no—
2005C2×C4—24no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—24no—
2013C2×C4—24no—
2014C2×C4—22no—
2015C2×C4—24no—
2016C2×C4—22no—
2017C2×C4—41no—
2018C2×C4—44no—
2019C2×C4—41no—
2020C2×C4—41no—
2021C2×C4—41no—
2022C2×C4—41no—
2023C2×C4—41no—
2024C2×C4—41no—
2025C2×C4—41no—
2026C2×C4—41no—
2027C2×C4—41no—
2028C2×C4—42no—
2029C2×C4—42no—
2030C2×C4—42no—
2031C2×C4—48no—
2032C2×C4—44no—
2033C2×C4—42no—
2034C2×C4—44no—
2035C2×C4—44no—
2036C2×C4—82no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—84no—
2042C2×C4—84no—
2043C2×C4—84no—
2044C2×C4—82no—
2045C2×C4—81no—
2046C2×C4—82no—
2047C2×C4—84no—
2048C2×C4—82no—
2049C2×C4—84no—
2050C2×C4—81no—
2051C2×C4—82no—
2052C2×C4—84no—
2053C2×C4C23×D411yescharacteristic
2054C2×C4C23×D411yescharacteristic
2055C2×C4C23×D414yes—
2056C2×C4C23×D411yescharacteristic
2057C2×C4C23×D411yescharacteristic
2058C2×C4C23×D414yes—
2059C2×C4C23×D414yes—
2060C2×C4C23×D411yescharacteristic
2061C2×C4C23×D411yescharacteristic
2062C2×C4C23×D411yescharacteristic
2063C2×C4C23×D411yescharacteristic
2064C2×C4C23×D411yescharacteristic
2065C2×C4C23×D411yescharacteristic
2066C2×C4C23×D411yescharacteristic
2067C2×C4C2611yescharacteristic
2068C8—22no—
2069C8—22no—
2070C8—24no—
2071C8—22no—
2072C8—22no—
2073C8—24no—
2074C22—21no—
2075C22—21no—
2076C22—21no—
2077C22—21no—
2078C22—24no—
2079C22—21no—
2080C22—21no—
2081C22—24no—
2082C22—21no—
2083C22—24no—
2084C22—21no—
2085C22—42no—
2086C22—42no—
2087C22—44no—
2088C22—42no—
2089C22—44no—
2090C22—42no—
2091C22—44no—
2092C22—42no—
2093C22—42no—
2094C22—82no—
2095C22—164no—
2096C22—162no—
2097C22—162no—
2098C22—168no—
2099C22#358612yes—
2100C22C24×D411yescharacteristic
2101C4—21no—
2102C4—21no—
2103C4—21no—
2104C4—24no—
2105C4—21no—
2106C4—21no—
2107C4—21no—
2108C4—21no—
2109C4—24no—
2110C4—21no—
2111C4—21no—
2112C4—24no—
2113C4—21no—
2114C4—42no—
2115C4—42no—
2116C4—44no—
2117C4—42no—
2118C4—42no—
2119C4—44no—
2120C4—42no—
2121C4—44no—
2122C4—42no—
2123C4#358412yes—
2124C4H(7,𝔽2)12yes—
2125C2—22no—
2126C2—41no—
2127C2—41no—
2128C2—44no—
2129C2—82no—
2130C2—82no—
2131C2—84no—
2132C2#6285211yescharacteristic
2133C2C2×#358411yescharacteristic
2134C2C2×#358611yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#529 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62823C2semidirect
2. #62748C2semidirect
3. #62612C2semidirect
4. #62553C2semidirect
5. #62550C2semidirect
6. #62467C2semidirect
7. #62432C2semidirect
8. #62430C2semidirect
9. #62066C2semidirect
10. #62065C2semidirect
11. #62044C2semidirect
12. #62043C2semidirect
13. #62042C2semidirect
14. #62041C2semidirect
15. #61897C2semidirect
16. #61887C2semidirect
17. #61607C2semidirect
18. #61606C2semidirect
19. #61589C2semidirect
20. #61568C2semidirect
21. #60987C2semidirect
22. #60952C2semidirect
23. #60942C2semidirect
24. #60816C2semidirect
25. #60805C2semidirect
26. C2×#3210C2semidirect
27. #60290C2semidirect
31. #3563C22semidirect
34. #3561C22semidirect
35. #3561C22semidirect
39. #3558C22semidirect
42. #3552C22semidirect
43. #3552C22semidirect
44. #3552C22semidirect
46. #3543C22semidirect
51. #3523C22semidirect
52. #3523C22semidirect
53. #3520C22semidirect
54. #3520C22semidirect
56. #3516C22semidirect
58. #3505C22semidirect
60. #3501C22semidirect
62. #3495C22semidirect
65. #3480C22semidirect
67. D4×#41C22semidirect
70. #3455C22semidirect
71. #3449C22semidirect
73. C2×#533C22semidirect
76. C2×#529C22semidirect
77. #3402C22semidirect
78. #3401C22semidirect
79. #3400C22semidirect
80. #3398C22semidirect
81. #3398C22semidirect
82. #3397C22semidirect
83. #3395C22semidirect
84. #3394C22semidirect
85. #3394C22semidirect
86. #3393C22semidirect
87. #3393C22semidirect
88. #3392C22semidirect
89. #3377C22semidirect
90. #3374C22semidirect
91. #3373C22semidirect
92. #3371C22semidirect
93. #3368C22semidirect
94. #3367C22semidirect
95. #3365C22semidirect
96. #3365C22semidirect
97. #3364C22semidirect
98. #3364C22semidirect
99. #3359C22semidirect
100. #3358C22semidirect
101. #3333C22semidirect
102. #3332C22semidirect
103. #3331C22semidirect
104. #3330C22semidirect
105. #3328C22semidirect
106. #3327C22semidirect
107. #3327C22semidirect
108. #3324C22semidirect
109. #3323C22semidirect
110. #3323C22semidirect
111. #3320C22semidirect
112. #3318C22semidirect
113. #3317C22semidirect
114. #3316C22semidirect
115. #3316C22semidirect
116. #3315C22semidirect
117. #3314C22semidirect
118. #3314C22semidirect
119. #3304C22semidirect
120. #3302C22semidirect
121. #3301C22semidirect
122. #3300C22semidirect
123. #3299C22semidirect
124. #3298C22semidirect
125. #3297C22semidirect
126. #3296C22semidirect
127. #3295C22semidirect
128. #3294C22semidirect
129. D4×Q16C22semidirect
130. D4×Q16C22semidirect
131. #3285C22semidirect
132. #3285C22semidirect
133. #3284C22semidirect
134. #3283C22semidirect
135. #3282C22semidirect
136. #3282C22semidirect
137. D4×SD16C22semidirect
138. D4×SD16C22semidirect
139. #3278C22semidirect
140. #3278C22semidirect
141. #3277C22semidirect
142. #3276C22semidirect
143. #3276C22semidirect
144. #3276C22semidirect
145. #3275C22semidirect
146. #3275C22semidirect
147. #3273C22semidirect
148. #3272C22semidirect
149. #3270C22semidirect
150. #3270C22semidirect
151. #3270C22semidirect
152. #3268C22semidirect
153. #3267C22semidirect
154. #3266C22semidirect
155. #3266C22semidirect
156. #3265C22semidirect
157. #3263C22semidirect
158. #3262C22semidirect
159. #3258C22semidirect
160. #3258C22semidirect
161. #3255C22semidirect
162. #3254C22semidirect
163. #3248C22semidirect
164. #3247C22semidirect
165. #3242C22semidirect
166. #3241C22semidirect
167. #3239C22semidirect
168. #3237C22semidirect
169. #3233C22semidirect
170. #3232C22semidirect
171. #3225C22semidirect
172. #3225C22semidirect
173. #3224C22semidirect
174. #3224C22semidirect
175. #3223C22semidirect
176. #3223C22semidirect
177. #3223C22semidirect
178. #3222C22semidirect
179. #3222C22semidirect
180. #3221C22semidirect
181. #3219C22semidirect
182. #3219C22semidirect
183. #3218C22semidirect
184. #3218C22semidirect
185. #3217C22semidirect
186. #3216C22semidirect
187. #3216C22semidirect
188. #3212C22semidirect
189. #3212C22semidirect
190. #3212C22semidirect
191. #3212C22semidirect
192. #3211C22semidirect
193. #3211C22semidirect
194. #3210C22semidirect
195. #3210C22semidirect
196. #3210C22semidirect
197. #3210C22semidirect
198. #3210C22semidirect
199. #3210C22semidirect
200. #3210C22semidirect
201. #3197C22semidirect
202. #3196C22semidirect
203. #3196C22semidirect
204. #3191C22semidirect
205. #3190C22semidirect
206. #3190C22semidirect
207. #3188C22semidirect
208. #3179C22semidirect
209. #3178C22semidirect
210. #3177C22semidirect
211. #3174C22semidirect
212. #3172C22semidirect
213. #3168C22semidirect
214. #3168C22semidirect
215. #3156C22semidirect
216. #3154C22semidirect
217. #3153C22semidirect
218. C2×#494C22semidirect
219. C2×#492C22semidirect
220. #3142C22semidirect
221. #3137C22semidirect
222. #3136C22semidirect
223. C2×#487C22semidirect
224. C2×#486C22semidirect
225. #3125C22semidirect
226. #3124C22semidirect
227. #3121C22semidirect
228. #3121C22semidirect
229. #3116C22semidirect
230. #3111C22semidirect
231. #3107C22semidirect
232. #3107C22semidirect
233. #3107C22semidirect
234. #3104C22semidirect
235. #3104C22semidirect
236. #3103C22semidirect
237. #3103C22semidirect
238. #3102C22semidirect
239. #3102C22semidirect
240. #3102C22semidirect
241. #3101C22semidirect
242. #3100C22semidirect
243. #3046C22semidirect
244. #3045C22semidirect
245. #3044C22semidirect
246. #3043C22semidirect
247. #3037C22semidirect
248. #3036C22semidirect
249. C2×#464C22semidirect
250. #3007C22semidirect
251. #3007C22semidirect
252. #3006C22semidirect
253. #3005C22semidirect
254. #3002C22semidirect
255. C2×#452C22semidirect
256. C2×#452C22semidirect
257. #2994C22semidirect
258. #2993C22semidirect
259. #2993C22semidirect
260. #2983C22semidirect
261. #2982C22semidirect
262. #2975C22semidirect
263. #2974C22semidirect
264. #2972C22semidirect
265. #2969C22semidirect
266. #2966C22semidirect
267. #2966C22semidirect
268. #2924C22semidirect
269. #2920C22semidirect
270. C2×#431C22semidirect

Maximal subgroups

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

subgroupindex
#628232
#627482
#626122
#625532
#625502
#624672
#624322
#624302
#620662
#620652
#620442
#620432
#620422
#620412
#618972
#618872
#616072
#616062
#615892
#615682
#609872
#609522
#609422
#608162
#608052
C2×#32102
#602902