Finite Group Databasebeta

← #10581859

Subgroups — #10581859

Order 512.

6118 conjugacy classes of subgroups.

The subgroup lattice has 2183 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#62618C212yesmaximal, complemented
4#62616C212yesmaximal, complemented
5#62559C212yesmaximal, complemented
6#62556C212yesmaximal, complemented
7#62466C212yesmaximal, complemented
8#62464C212yesmaximal, complemented
9#62437C212yesmaximal, complemented
10#62435C212yesmaximal, complemented
11#62056C212yesmaximal, complemented
12#62055C212yesmaximal, complemented
13#62054C212yesmaximal, complemented
14#62053C212yesmaximal, complemented
15#62030C214yesmaximal, complemented
16#62029C214yesmaximal, complemented
17#61897C212yesmaximal, complemented
18#61887C212yesmaximal, complemented
19#61607C214yesmaximal, complemented
20#61597C214yesmaximal, complemented
21#61589C212yesmaximal, complemented
22#61568C212yesmaximal, complemented
23#60984C214yesmaximal, complemented
24#60954C211yesmaximal, characteristic, complemented
25#60947C211yesmaximal, characteristic, complemented
26#60816C214yesmaximal, complemented
27#60804C211yesmaximal, characteristic, complemented
28C2×#3212C211yesmaximal, characteristic, complemented
29#60290C211yesmaximal, characteristic, complemented
30#3564—22no—
31#3564—22no—
32#3563—21no—
33#3563C2212yescomplemented
34#3562C2214yescomplemented
35#3561—21no—
36#3561C2212yes—
37#3561C2212yescomplemented
38#3560—22no—
39#3559—21no—
40#3558—21no—
41#3558C2212yes—
42#3554C2212yescomplemented
43#3553—22no—
44#3552C2212yes—
45#3552C2212yescomplemented
46#3552C2212yescomplemented
47#3546C2212yescomplemented
48#3543C2212yes—
49#3537—21no—
50#3536—21no—
51#3534—22no—
52#3529—22no—
53#3523C2212yescomplemented
54#3523C2212yescomplemented
55#3520C2212yescomplemented
56#3520C2212yescomplemented
57#3516—22no—
58#3516C2214yescomplemented
59#3505—21no—
60#3505C2212yescomplemented
61#3501—21no—
62#3501C2212yescomplemented
63#3495—22no—
64#3495C2214yescomplemented
65#3491—22no—
66#3481—22no—
67#3480C2212yescomplemented
68D4×#41C2214yes—
69D4×#41C2212yescomplemented
70#3460—22no—
71#3459—22no—
72#3455C2212yescomplemented
73#3449C2212yescomplemented
74#3444C2211yescharacteristic
75C2×#533C2211yescharacteristic, complemented
76C2×#532C2211yescharacteristic
77C2×#529C2211yescharacteristic
78C2×#529C2211yescharacteristic, complemented
79#3402C2214yescomplemented
80#3401C2214yescomplemented
81#3400C2212yescomplemented
82#3398C2212yescomplemented
83#3398C2212yescomplemented
84#3397C2212yescomplemented
85#3395C2212yescomplemented
86#3394C2212yescomplemented
87#3394C2214yescomplemented
88#3393C2212yescomplemented
89#3393C2214yescomplemented
90#3392C2212yescomplemented
91#3377C2214yescomplemented
92#3374C2212yescomplemented
93#3373C2212yescomplemented
94#3371C2214yescomplemented
95#3368C2212yescomplemented
96#3367C2212yescomplemented
97#3365C2214yescomplemented
98#3365C2212yescomplemented
99#3364C2214yescomplemented
100#3364C2212yescomplemented
101#3359C2212yescomplemented
102#3358C2212yescomplemented
103#3333C2214yescomplemented
104#3332C2212yescomplemented
105#3331C2214yescomplemented
106#3330C2212yescomplemented
107#3328C2212yescomplemented
108#3327C2214yescomplemented
109#3326C2214yescomplemented
110#3324C2212yescomplemented
111#3323C2214yescomplemented
112#3322C2214yescomplemented
113#3316C2214yescomplemented
114#3316C2214yescomplemented
115#3314C2214yescomplemented
116#3314C2214yescomplemented
117#3312C2214yescomplemented
118#3310C2214yescomplemented
119#3309C2214yescomplemented
120#3307C2214yescomplemented
121#3304C2212yescomplemented
122#3302C2212yescomplemented
123#3300C2214yescomplemented
124#3300C2214yescomplemented
125#3299C2214yescomplemented
126#3298C2212yescomplemented
127#3296C2214yescomplemented
128#3296C2214yescomplemented
129#3295C2214yescomplemented
130#3294C2212yescomplemented
131D4×Q16C2212yescomplemented
132D4×Q16C2214yescomplemented
133#3285C2214yescomplemented
134#3284C2212yescomplemented
135#3283C2212yescomplemented
136#3282C2214yescomplemented
137#3282C2214yescomplemented
138D4×SD16C2212yescomplemented
139D4×SD16C2214yescomplemented
140#3280C2214yescomplemented
141#3278C2212yescomplemented
142#3278C2214yescomplemented
143#3277C2214yescomplemented
144#3277C2214yescomplemented
145#3276C2214yescomplemented
146#3276C2212yescomplemented
147#3276C2212yescomplemented
148#3275C2214yescomplemented
149#3275C2214yescomplemented
150#3272C2212yescomplemented
151#3271C2214yescomplemented
152#3270C2214yescomplemented
153#3270C2214yescomplemented
154#3269C2214yescomplemented
155#3266C2214yescomplemented
156#3266C2214yescomplemented
157#3266C2214yescomplemented
158#3264C2214yescomplemented
159#3261C2214yescomplemented
160#3260C2214yescomplemented
161#3258C2214yescomplemented
162#3257C2214yescomplemented
163#3256C2212yescomplemented
164#3256C2212yescomplemented
165#3248C2212yescomplemented
166#3248C2212yescomplemented
167#3244C2214yescomplemented
168#3243C2214yescomplemented
169#3240C2212yescomplemented
170#3236C2211yescharacteristic, complemented
171#3234C2211yescharacteristic, complemented
172#3231C2212yescomplemented
173#3229C2211yescharacteristic, complemented
174#3226C2211yescharacteristic, complemented
175#3225C2214yescomplemented
176#3225C2214yescomplemented
177#3225C2214yescomplemented
178#3225C2214yescomplemented
179#3224C2214yescomplemented
180#3224C2214yescomplemented
181#3223C2214yescomplemented
182#3223C2214yescomplemented
183#3222C2214yescomplemented
184#3222C2214yescomplemented
185#3219C2212yescomplemented
186#3219C2214yescomplemented
187#3216C2214yescomplemented
188#3216C2214yescomplemented
189#3215C2211yescharacteristic, complemented
190#3215C2212yescomplemented
191#3215C2212yescomplemented
192#3213C2211yescharacteristic, complemented
193#3212C2212yescomplemented
194#3212C2212yescomplemented
195#3212C2214yescomplemented
196#3212C2214yescomplemented
197#3212C2212yescomplemented
198#3212C2212yescomplemented
199#3212C2214yescomplemented
200#3210C2212yescomplemented
201#3210C2212yescomplemented
202#3210C2212yescomplemented
203#3210C2214yescomplemented
204#3209C2211yescharacteristic, complemented
205#3209C2212yescomplemented
206#3208C2212yescomplemented
207#3206C2211yescharacteristic, complemented
208#3197C2214yescomplemented
209#3196C2212yescomplemented
210#3196C2214yescomplemented
211#3194C2212yescomplemented
212#3191C2214yescomplemented
213#3190C2214yescomplemented
214#3190C2214yescomplemented
215#3178C2214yescomplemented
216#3178C2214yescomplemented
217#3175C2214yescomplemented
218#3173C2214yescomplemented
219#3172C2212yescomplemented
220#3171C2212yescomplemented
221#3170C2212yescomplemented
222#3167C2212yescomplemented
223#3156C2214yescomplemented
224#3154C2214yescomplemented
225#3152C2212yescomplemented
226C2×#495C2212yescomplemented
227#3141C2212yescomplemented
228#3137C2214yescomplemented
229#3136C2214yescomplemented
230C2×#488C2212yescomplemented
231#3127C2214yescomplemented
232#3126C2214yescomplemented
233#3120C2214yescomplemented
234#3119C2214yescomplemented
235#3116C2214yescomplemented
236#3111C2214yescomplemented
237#3108C2214yescomplemented
238#3108C2212yescomplemented
239#3107C2212yescomplemented
240#3107C2212yescomplemented
241#3107C2214yescomplemented
242#3105C2212yescomplemented
243#3102C2212yescomplemented
244#3102C2212yescomplemented
245#3102C2214yescomplemented
246#3046C2214yescomplemented
247#3045C2214yescomplemented
248#3044C2214yescomplemented
249#3043C2214yescomplemented
250#3037C2212yescomplemented
251#3037C2212yescomplemented
252C2×#462C2211yescharacteristic, complemented
253C2×#460C2211yescharacteristic, complemented
254C2×#461C2211yescharacteristic, complemented
255C2×#459C2211yescharacteristic, complemented
256#3007C2214yescomplemented
257#3007C2214yescomplemented
258#3005C2214yescomplemented
259#3002C2214yescomplemented
260C2×#452C2212yescomplemented
261C2×#452C2214yescomplemented
262C2×#449C2212yescomplemented
263#2994C2212yescomplemented
264#2994C2212yescomplemented
265#2993C2212yescomplemented
266#2993C2212yescomplemented
267#2983C2211yescharacteristic, complemented
268#2982C2211yescharacteristic, complemented
269#2975C2211yescharacteristic, complemented
270#2974C2214yescomplemented
271#2972C2211yescharacteristic, complemented
272#2969C2212yescomplemented
273#2969C2212yescomplemented
274#2966C2212yescomplemented
275#2966C2212yescomplemented
276#2924C2214yescomplemented
277#2920C2211yescharacteristic, complemented
278C2×#431C2211yescharacteristic, complemented
279C22×#41C2312yes—
280C22×#41C2314yes—
281C2×#137C2314yes—
282C2×#137C2314yes—
283C2×#137C2314yes—
284C2×#137C2314yes—
285C2×#137C2314yes—
286C2×AGL(1,ℤ/8)C2314yes—
287C2×#135C2314yes—
288C2×#135C2314yes—
289C22×Q16C2312yes—
290C22×Q16C2314yes—
291C22×SD16C2312yes—
292C22×SD16C2312yes—
293C22×SD16C2314yes—
294C22×D8C2312yes—
295#564—22no—
296#563—24no—
297#563—24no—
298#563—24no—
299#563—22no—
300#563—22no—
301#563—22no—
302#562—22no—
303#562—22no—
304#562—22no—
305#562—24no—
306#562—24no—
307H(3,𝔽4)—22no—
308#560—24no—
309#560—24no—
310#560—24no—
311#559—22no—
312#559C2314yes—
313#559C2312yes—
314#557—22no—
315#557C2312yes—
316#557C2312yes—
317#557C2312yes—
318#557C2314yes—
319#556—24no—
320#556—22no—
321#556—24no—
322#556C2312yes—
323#556C2314yes—
324#556C2312yes—
325#556C2314yes—
326#556C2312yes—
327#554—22no—
328#554—22no—
329#554—22no—
330#554—24no—
331#554—24no—
332#554—24no—
333#554—24no—
334#554—22no—
335#554C2314yes—
336#554C2314yes—
337#553—24no—
338#553—22no—
339#553—22no—
340#553—22no—
341#553—24no—
342#553—24no—
343#553—24no—
344#553—22no—
345#553C2314yes—
346#552—24no—
347#552—22no—
348#552—24no—
349#552—24no—
350#552—24no—
351#552—24no—
352#552—24no—
353#552—24no—
354#552—24no—
355#552—22no—
356#552C2314yes—
357#552C2314yes—
358#551—24no—
359#551—24no—
360#551—24no—
361#551—24no—
362#551—24no—
363#551—24no—
364#551—24no—
365#551—24no—
366#550C2312yes—
367#550C2314yes—
368#550C2312yes—
369D4×Q8—22no—
370D4×Q8—22no—
371D4×Q8C2312yes—
372D4×Q8C2314yes—
373D4×Q8C2314yes—
374D4×Q8C2314yes—
375D4×Q8C2312yes—
376D4×Q8C2312yes—
377#548—22no—
378#548—22no—
379#548—22no—
380#548C2314yes—
381#548C2314yes—
382#548C2314yes—
383#548C2314yes—
384#548C2314yes—
385#547—24no—
386#547—22no—
387#547C2312yes—
388#547C2314yes—
389#547C2312yes—
390#547C2312yes—
391#546—22no—
392#546—22no—
393#546—24no—
394#546—22no—
395#546—24no—
396#546—24no—
397#546—24no—
398#546C2314yes—
399#546C2314yes—
400#546C2314yes—
401#546C2314yes—
402D42—24no—
403D42—22no—
404D42—22no—
405D42C2314yes—
406D42C2312yes—
407#544—22no—
408#544—22no—
409#544—22no—
410#544—22no—
411#544C2314yes—
412#543—22no—
413#543—22no—
414#543—22no—
415#543—22no—
416#542—24no—
417#542—24no—
418#542—22no—
419#542—22no—
420#542—24no—
421#542—22no—
422#542—22no—
423#542C2314yes—
424#542C2314yes—
425#542C2314yes—
426#542C2314yes—
427#541—24no—
428#541—24no—
429#541—22no—
430#541—24no—
431#541—22no—
432#541—24no—
433#541C2314yes—
434#541C2314yes—
435#541C2314yes—
436#540—22no—
437#540—24no—
438#540—22no—
439#540C2314yes—
440#539—24no—
441#539—24no—
442#539—24no—
443#539—24no—
444#539—24no—
445#539—24no—
446#539—22no—
447#539—24no—
448#539—22no—
449#539—22no—
450#539—22no—
451#538—24no—
452#538—24no—
453#538—24no—
454#538—24no—
455#538—22no—
456#538—22no—
457#538—22no—
458#538—22no—
459#538—22no—
460#538—22no—
461#537—22no—
462#537—22no—
463#537—22no—
464#536—22no—
465#536C2314yes—
466#536C2314yes—
467#536C2314yes—
468#535—22no—
469#535—22no—
470#535C2314yes—
471#535C2314yes—
472#534—22no—
473#534—24no—
474#534—22no—
475#534—22no—
476#534—22no—
477#533—22no—
478#533—21no—
479#533—21no—
480#533—21no—
481#533—21no—
482#533C2312yes—
483#533C2314yes—
484#533C2312yes—
485#533C2311yescharacteristic
486#533C2311yescharacteristic
487#533C2312yes—
488#533C2312yes—
489#533C2311yescharacteristic
490#532—24no—
491#532—22no—
492#532—21no—
493#532—21no—
494#532—21no—
495#532—21no—
496#532C2312yes—
497#532C2312yes—
498#532C2312yes—
499#532C2312yes—
500#532C2311yescharacteristic
501#532C2314yes—
502#532C2311yescharacteristic
503#532C2311yescharacteristic
504C2×C4⋊Q8C2311yescharacteristic
505C2×C4⋊Q8C2311yescharacteristic
506C2×C4⋊Q8C2311yescharacteristic
507C2×#127C2311yescharacteristic
508#529—24no—
509#529—24no—
510#529—22no—
511#529—24no—
512#529—22no—
513#529—24no—
514#529—24no—
515#529—21no—
516#529—21no—
517#529—21no—
518#529—21no—
519#529—21no—
520#529—21no—
521#529—21no—
522#529—21no—
523#529D412yes—
524#529D412yes—
525#529D412yes—
526#529D412yes—
527#529C2312yes—
528#529C2314yes—
529#529C2312yes—
530#529C2312yes—
531#529C2312yes—
532#529C2312yes—
533#529C2312yes—
534#529C2312yes—
535#529C2312yes—
536#529C2312yes—
537#529C2312yes—
538C2×#126—21no—
539C2×#126D412yes—
540C2×#125—21no—
541C2×#125D411yescharacteristic
542C2×#125C2311yescharacteristic
543C2×#124D411yescharacteristic
544C2×#124C2312yes—
545C2×#124C2311yescharacteristic
546#525—21no—
547#525—21no—
548#525—22no—
549#525—24no—
550#525—24no—
551#525—24no—
552#525—24no—
553#525—24no—
554#525C2312yes—
555#525C2314yes—
556#525C2314yes—
557C2×#123—21no—
558C2×#123D412yes—
559C2×C22⋊Q8—21no—
560C2×C22⋊Q8—22no—
561C2×C22⋊Q8D411yescharacteristic
562C2×C22⋊Q8C2311yescharacteristic
563C2×C22⋊Q8C2312yes—
564C2×C22⋊Q8C2314yes—
565C2×#121—21no—
566C2×#121—21no—
567C2×#121D411yescharacteristic
568C2×#121C2311yescharacteristic
569#520—22no—
570#520C2314yes—
571#519—22no—
572#519C2314yes—
573#518—22no—
574#518—22no—
575C4×#41—22no—
576C4×#41—21no—
577C4×#41—21no—
578C4×#41C2312yes—
579C4×#41C2314yes—
580C2×C4×Q8—21no—
581C2×C4×Q8C2311yescharacteristic
582C2×C4×Q8C2312yes—
583C2×C4×Q8C2311yescharacteristic
584C2×C4×D4—21no—
585C2×C4×D4—24no—
586C2×C4×D4—22no—
587C2×C4×D4—21no—
588C2×C4×D4—21no—
589C2×C4×D4C2311yescharacteristic
590C2×C4×D4C2312yes—
591C2×C4×D4C2311yescharacteristic
592C2×#117—21no—
593C2×#117—21no—
594C2×#117C2312yes—
595C22×C42C2311yescharacteristic
596#501C2312yes—
597#501C2312yes—
598#500C2312yes—
599#498C2312yes—
600#497C2314yes—
601#497C2314yes—
602#497C2314yes—
603#497C2314yes—
604#497C2314yes—
605#497C2312yes—
606#496C2314yes—
607#496C2312yes—
608#495C2314yes—
609#495C2314yes—
610#495C2314yes—
611#495C2314yes—
612#495C2314yes—
613#495C2314yes—
614#494C2312yes—
615#494C2314yes—
616#494C2312yes—
617#494C2312yes—
618#492C2312yes—
619#492C2314yes—
620#492C2312yes—
621#492C2312yes—
622#491C2314yes—
623#491C2312yes—
624#490C2314yes—
625#490C2312yes—
626#489C2314yes—
627#489C2314yes—
628#489C2314yes—
629#489C2314yes—
630#489C2312yes—
631#489C2312yes—
632#488C2314yes—
633#488C2314yes—
634#488C2314yes—
635#488C2314yes—
636#488C2314yes—
637#488C2314yes—
638#487C2312yes—
639#487C2314yes—
640#487C2312yes—
641#487C2312yes—
642#487C2312yes—
643#487C2312yes—
644#486C2312yes—
645#486C2314yes—
646#486C2312yes—
647#486C2312yes—
648#485C2314yes—
649#485C2314yes—
650#485C2312yes—
651#485C2312yes—
652#485C2314yes—
653#485C2314yes—
654#484C2314yes—
655#484C2312yes—
656#483C2314yes—
657#483C2314yes—
658#483C2312yes—
659#482C2312yes—
660#482C2312yes—
661#482C2314yes—
662#482C2314yes—
663#481C2314yes—
664#481C2312yes—
665#480C2314yes—
666#480C2314yes—
667#480C2312yes—
668#479C2312yes—
669#479C2314yes—
670#479C2312yes—
671#479C2314yes—
672#479C2314yes—
673#479C2312yes—
674#479C2312yes—
675#479C2314yes—
676#478C2312yes—
677#478C2314yes—
678#478C2312yes—
679#478C2312yes—
680#478C2312yes—
681#478C2314yes—
682#477C2314yes—
683#476C2314yes—
684#475C2312yes—
685#475C2312yes—
686#475C2314yes—
687#474C2312yes—
688#474C2312yes—
689#474C2314yes—
690#470C2314yes—
691#470C2312yes—
692#470C2312yes—
693#470C2314yes—
694#470C2314yes—
695#469C2314yes—
696#469C2312yes—
697#469C2312yes—
698#468C2314yes—
699#468C2312yes—
700#468C2314yes—
701#468C2312yes—
702#468C2312yes—
703#468C2312yes—
704#468C2314yes—
705#468C2314yes—
706#467C2314yes—
707#467C2314yes—
708#467C2314yes—
709#467C2314yes—
710#467C2314yes—
711#466C2314yes—
712#465C2314yes—
713#465C2314yes—
714#465C2314yes—
715#465C2314yes—
716#465C2314yes—
717#465C2314yes—
718#464C2312yes—
719#464C2314yes—
720#464C2312yes—
721#464C2314yes—
722#464C2314yes—
723#464C2312yes—
724#464C2312yes—
725#464C2314yes—
726#464C2314yes—
727#464C2314yes—
728#464C2314yes—
729#464C2314yes—
730#464C2314yes—
731#464C2314yes—
732#464C2314yes—
733#464C2314yes—
734#464C2314yes—
735#464C2314yes—
736#463C2312yes—
737#463C2314yes—
738#463C2312yes—
739#463C2312yes—
740#463C2312yes—
741#463C2314yes—
742#463C2314yes—
743#463C2314yes—
744#462C2312yes—
745#462C2314yes—
746#462C2312yes—
747#462C2314yes—
748#462C2312yes—
749#462C2312yes—
750#462C2314yes—
751#462C2314yes—
752#462C2314yes—
753#462C2314yes—
754#462C2314yes—
755#462C2314yes—
756#461C2312yes—
757#461C2312yes—
758#461C2314yes—
759#461C2312yes—
760#461C2314yes—
761#461C2312yes—
762#461C2314yes—
763#461C2314yes—
764#460C2314yes—
765#460C2312yes—
766#460C2314yes—
767#460C2312yes—
768#460C2314yes—
769#460C2314yes—
770#460C2314yes—
771#460C2314yes—
772#459C2312yes—
773#459C2312yes—
774#459C2314yes—
775#459C2314yes—
776#452C2314yes—
777#452C2314yes—
778#452C2314yes—
779#452C2314yes—
780#452C2314yes—
781#452C2312yes—
782#452C2312yes—
783#452C2314yes—
784#452C2314yes—
785#452C2314yes—
786#452C2314yes—
787#452C2314yes—
788#452C2314yes—
789#452C2314yes—
790#452C2314yes—
791#452C2314yes—
792#452C2314yes—
793#452C2314yes—
794#452C2314yes—
795#452C2314yes—
796#451C2314yes—
797#451C2314yes—
798#451C2312yes—
799#451C2314yes—
800#451C2314yes—
801#451C2314yes—
802#451C2314yes—
803#451C2314yes—
804#451C2314yes—
805#450C2312yes—
806#450C2314yes—
807#450C2314yes—
808#450C2314yes—
809#450C2314yes—
810#450C2314yes—
811#449C2314yes—
812#449C2314yes—
813#449C2314yes—
814#449C2312yes—
815#449C2312yes—
816#449C2314yes—
817#449C2314yes—
818#449C2314yes—
819#449C2314yes—
820#449C2314yes—
821#448C2314yes—
822#448C2312yes—
823#448C2314yes—
824#448C2314yes—
825#448C2314yes—
826#447C2312yes—
827#447C2314yes—
828#446C2312yes—
829#446C2312yes—
830#446C2312yes—
831#446C2312yes—
832C8×Q8C2312yes—
833C8×Q8C2312yes—
834C8×Q8C2312yes—
835C8×Q8C2312yes—
836#442C2314yes—
837#441C2314yes—
838#441C2314yes—
839#441C2314yes—
840#440C2314yes—
841#440C2314yes—
842#440C2314yes—
843#440C2314yes—
844C4×Q16C2312yes—
845C4×Q16C2314yes—
846C4×Q16C2312yes—
847C4×Q16C2314yes—
848C4×Q16C2314yes—
849C4×Q16C2314yes—
850C4×Q16C2314yes—
851C4×SD16C2314yes—
852C4×SD16C2312yes—
853C4×SD16C2314yes—
854C4×SD16C2312yes—
855C4×SD16C2312yes—
856C4×SD16C2312yes—
857C4×SD16C2314yes—
858C4×SD16C2314yes—
859C4×SD16C2314yes—
860C4×SD16C2314yes—
861C4×D8C2312yes—
862C4×D8C2314yes—
863C4×D8C2312yes—
864#436C2312yes—
865#436C2312yes—
866#436C2314yes—
867#436C2314yes—
868#436C2312yes—
869#436C2312yes—
870#435C2314yes—
871#435C2314yes—
872#435C2314yes—
873#435C2314yes—
874C8×D4C2312yes—
875C8×D4C2312yes—
876C8×D4C2314yes—
877C8×D4C2314yes—
878C8×D4C2312yes—
879C8×D4C2312yes—
880#433C2314yes—
881#433C2314yes—
882#433C2314yes—
883#433C2314yes—
884#432C2314yes—
885#432C2312yes—
886#432C2311yescharacteristic
887#432C2311yescharacteristic
888#431C2311yescharacteristic
889#431C2311yescharacteristic
890#431C2314yes—
891#431C2312yes—
892#431C2311yescharacteristic
893#431C2311yescharacteristic
894#431C2312yes—
895#431C2312yes—
896#431C2311yescharacteristic
897#431C2311yescharacteristic
898#424C2314yes—
899#424C2314yes—
900#423C2311yescharacteristic
901#423C2311yescharacteristic
902C2×C4⋊C8C2311yescharacteristic
903C2×C4⋊C8C2311yescharacteristic
904#419C2314yes—
905#418C2314yes—
906#417C2314yes—
907#417C2314yes—
908#417C2314yes—
909#417C2314yes—
910#416C2314yes—
911#416C2314yes—
912C2×#103C2312yes—
913C2×#103C2312yes—
914C2×#103C2314yes—
915C2×#102C2312yes—
916C2×#102C2312yes—
917C2×#102C2314yes—
918#407C2312yes—
919#407C2314yes—
920C2×C22⋊C8C2312yes—
921C2×C22⋊C8C2314yes—
922#405C2314yes—
923#405C2314yes—
924C4×M16C2312yes—
925C2×C4×C8C2312yes—
926C2×#41—22no—
927C2×#41—22no—
928C2×#41—21no—
929C2×#41—21no—
930C2×#41—24no—
931C2×#41—22no—
932C2×#41—22no—
933C2×#41—24no—
934C2×#41—82no—
935C2×#41—82no—
936C2×#41—84no—
937C2×#41—84no—
938C2×#41C2412yes—
939C2×#41C2414yes—
940C2×#41C2414yes—
941C2×#41C2414yes—
942C2×#41C2414yes—
943C2×#41C2414yes—
944C22×Q8—22no—
945C22×Q8—21no—
946C22×Q8C2×D411yescharacteristic
947C22×Q8C2411yescharacteristic
948C22×Q8C2412yes—
949C22×Q8C2414yes—
950C22×Q8C2412yes—
951C22×Q8C2414yes—
952C22×D4—21no—
953C22×D4—22no—
954C22×D4—24no—
955C22×D4—24no—
956C22×D4—22no—
957C22×D4—21no—
958C22×D4—21no—
959C22×D4C2×D412yes—
960C22×D4C2×D411yescharacteristic
961C22×D4C2411yescharacteristic
962C22×D4C2412yes—
963C22×D4C2414yes—
964C23×C4—21no—
965C23×C4—22no—
966C23×C4—24no—
967C23×C4C2×D411yescharacteristic
968C23×C4C2×D411yescharacteristic
969C23×C4C2412yes—
970C23×C4C2411yescharacteristic
971#137—84no—
972#137—84no—
973#137—84no—
974#137—84no—
975#137—84no—
976AGL(1,ℤ/8)—84no—
977#135—84no—
978#135—84no—
979C2×Q16—82no—
980C2×Q16—84no—
981C2×Q16C2414yes—
982C2×Q16C2412yes—
983C2×Q16C2414yes—
984C2×Q16C2414yes—
985C2×Q16C2414yes—
986C2×Q16C2414yes—
987C2×Q16C2412yes—
988C2×Q16C2414yes—
989C2×Q16C2414yes—
990C2×Q16C2414yes—
991C2×SD16—82no—
992C2×SD16—82no—
993C2×SD16—84no—
994C2×SD16C2414yes—
995C2×SD16C2412yes—
996C2×SD16C2414yes—
997C2×SD16C2414yes—
998C2×SD16C2414yes—
999C2×SD16C2414yes—
1000C2×SD16C2414yes—
1001C2×SD16C2412yes—
1002C2×SD16C2414yes—
1003C2×SD16C2414yes—
1004C2×SD16C2414yes—
1005C2×SD16C2412yes—
1006C2×SD16C2412yes—
1007C2×SD16C2414yes—
1008C2×D8—82no—
1009C2×D8C2414yes—
1010C2×D8C2414yes—
1011C2×D8C2412yes—
1012C2×D8C2412yes—
1013C2×M16C2414yes—
1014C2×M16C2412yes—
1015C2×M16C2412yes—
1016C2×M16C2414yes—
1017C22×C8C2412yes—
1018C22×C8C2412yes—
1019C22×C8C2414yes—
1020C22×C8C2414yes—
1021C4⋊Q8—22no—
1022C4⋊Q8—24no—
1023C4⋊Q8—22no—
1024C4⋊Q8—24no—
1025C4⋊Q8—22no—
1026C4⋊Q8—24no—
1027C4⋊Q8—24no—
1028C4⋊Q8—24no—
1029C4⋊Q8—21no—
1030C4⋊Q8—21no—
1031C4⋊Q8—21no—
1032C4⋊Q8—21no—
1033C4⋊Q8—21no—
1034C4⋊Q8—21no—
1035C4⋊Q8C2412yes—
1036C4⋊Q8C2412yes—
1037C4⋊Q8C2412yes—
1038C4⋊Q8C2412yes—
1039C4⋊Q8C2411yescharacteristic
1040C4⋊Q8C2414yes—
1041C4⋊Q8C2414yes—
1042C4⋊Q8C2412yes—
1043C4⋊Q8C2412yes—
1044C4⋊Q8C2411yescharacteristic
1045C4⋊Q8C2411yescharacteristic
1046C4⋊Q8C2414yes—
1047#127—22no—
1048#127—24no—
1049#127—21no—
1050#127—21no—
1051#127C2412yes—
1052#127C2412yes—
1053#127C2411yescharacteristic
1054#127C2414yes—
1055#126—24no—
1056#126—24no—
1057#126—24no—
1058#126—24no—
1059#126—24no—
1060#126—24no—
1061#126—24no—
1062#126—24no—
1063#126—24no—
1064#126—24no—
1065#126—24no—
1066#126—24no—
1067#126—24no—
1068#126—24no—
1069#126—24no—
1070#126—24no—
1071#126—24no—
1072#126—24no—
1073#126—24no—
1074#126—24no—
1075#126—22no—
1076#126—22no—
1077#126—22no—
1078#126—22no—
1079#126—22no—
1080#126—22no—
1081#126—24no—
1082#126C2×D414yes—
1083#126C2×D414yes—
1084#126C2×D414yes—
1085#126C2×D414yes—
1086#125—24no—
1087#125—24no—
1088#125—24no—
1089#125—22no—
1090#125—24no—
1091#125—24no—
1092#125—22no—
1093#125—24no—
1094#125—24no—
1095#125—24no—
1096#125—24no—
1097#125—24no—
1098#125—24no—
1099#125—24no—
1100#125—24no—
1101#125—24no—
1102#125—24no—
1103#125—24no—
1104#125—22no—
1105#125—22no—
1106#125—22no—
1107#125—22no—
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—24no—
1113#125C2×D412yes—
1114#125C2×D412yes—
1115#125C2×D412yes—
1116#125C2×D412yes—
1117#125C2412yes—
1118#125C2412yes—
1119#125C2412yes—
1120#125C2414yes—
1121#124—22no—
1122#124—24no—
1123#124—22no—
1124#124—24no—
1125#124—24no—
1126#124—24no—
1127#124—24no—
1128#124—24no—
1129#124—24no—
1130#124—24no—
1131#124—24no—
1132#124—24no—
1133#124—21no—
1134#124—21no—
1135#124—22no—
1136#124—22no—
1137#124—21no—
1138#124—21no—
1139#124C2×D412yes—
1140#124C2×D412yes—
1141#124C2×D412yes—
1142#124C2×D412yes—
1143#124C2412yes—
1144#124C2412yes—
1145#124C2414yes—
1146#124C2414yes—
1147#124C2412yes—
1148#124C2414yes—
1149#124C2414yes—
1150#124C2414yes—
1151#123—24no—
1152#123—24no—
1153#123—22no—
1154#123—22no—
1155#123—22no—
1156#123—22no—
1157#123—22no—
1158#123—22no—
1159#123—22no—
1160#123—24no—
1161#123—24no—
1162#123—24no—
1163#123—24no—
1164#123—24no—
1165#123—24no—
1166#123—24no—
1167#123—24no—
1168#123—24no—
1169#123—24no—
1170#123—24no—
1171#123—24no—
1172#123—24no—
1173#123—24no—
1174#123—24no—
1175#123—24no—
1176#123—24no—
1177#123—24no—
1178#123—24no—
1179#123—24no—
1180#123—24no—
1181#123—24no—
1182#123—24no—
1183#123—24no—
1184#123—24no—
1185#123—24no—
1186#123—24no—
1187#123—24no—
1188#123C2×D414yes—
1189#123C2×D414yes—
1190#123C2×D414yes—
1191#123C2×D414yes—
1192C22⋊Q8—22no—
1193C22⋊Q8—22no—
1194C22⋊Q8—24no—
1195C22⋊Q8—24no—
1196C22⋊Q8—22no—
1197C22⋊Q8—22no—
1198C22⋊Q8—22no—
1199C22⋊Q8—22no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—22no—
1203C22⋊Q8—22no—
1204C22⋊Q8—24no—
1205C22⋊Q8—24no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—24no—
1211C22⋊Q8—24no—
1212C22⋊Q8—22no—
1213C22⋊Q8—24no—
1214C22⋊Q8—24no—
1215C22⋊Q8—24no—
1216C22⋊Q8—24no—
1217C22⋊Q8—24no—
1218C22⋊Q8—24no—
1219C22⋊Q8—24no—
1220C22⋊Q8—22no—
1221C22⋊Q8—24no—
1222C22⋊Q8—24no—
1223C22⋊Q8—24no—
1224C22⋊Q8—24no—
1225C22⋊Q8—24no—
1226C22⋊Q8—24no—
1227C22⋊Q8—24no—
1228C22⋊Q8—24no—
1229C22⋊Q8—24no—
1230C22⋊Q8—24no—
1231C22⋊Q8—24no—
1232C22⋊Q8—24no—
1233C22⋊Q8—24no—
1234C22⋊Q8—24no—
1235C22⋊Q8—24no—
1236C22⋊Q8—24no—
1237C22⋊Q8—24no—
1238C22⋊Q8—24no—
1239C22⋊Q8—24no—
1240C22⋊Q8—24no—
1241C22⋊Q8—24no—
1242C22⋊Q8—24no—
1243C22⋊Q8C2×D412yes—
1244C22⋊Q8C2×D412yes—
1245C22⋊Q8C2×D412yes—
1246C22⋊Q8C2×D412yes—
1247C22⋊Q8C2412yes—
1248C22⋊Q8C2414yes—
1249C22⋊Q8C2412yes—
1250C22⋊Q8C2414yes—
1251C22⋊Q8C2414yes—
1252C22⋊Q8C2414yes—
1253C22⋊Q8C2412yes—
1254C22⋊Q8C2412yes—
1255C22⋊Q8C2414yes—
1256C22⋊Q8C2414yes—
1257C22⋊Q8C2414yes—
1258#121—24no—
1259#121—24no—
1260#121—24no—
1261#121—22no—
1262#121—24no—
1263#121—24no—
1264#121—22no—
1265#121—24no—
1266#121—24no—
1267#121—22no—
1268#121—22no—
1269#121—22no—
1270#121—22no—
1271#121—22no—
1272#121—22no—
1273#121—22no—
1274#121—22no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—24no—
1282#121—24no—
1283#121—24no—
1284#121—24no—
1285#121—24no—
1286#121—24no—
1287#121—24no—
1288#121—22no—
1289#121—22no—
1290#121—24no—
1291#121—24no—
1292#121—24no—
1293#121—24no—
1294#121—24no—
1295#121—24no—
1296#121—24no—
1297#121—24no—
1298#121—24no—
1299#121—24no—
1300#121C2×D412yes—
1301#121C2×D412yes—
1302#121C2×D412yes—
1303#121C2×D412yes—
1304#121C2412yes—
1305#121C2412yes—
1306#121C2412yes—
1307#121C2412yes—
1308#121C2414yes—
1309#121C2414yes—
1310#121C2414yes—
1311#120—22no—
1312#120—24no—
1313#120—24no—
1314#120—24no—
1315#120—24no—
1316#120—24no—
1317#120—24no—
1318#120—24no—
1319#120—24no—
1320#120—24no—
1321#120—24no—
1322#120—24no—
1323#120—24no—
1324#120—24no—
1325C4×Q8—22no—
1326C4×Q8—22no—
1327C4×Q8—22no—
1328C4×Q8—24no—
1329C4×Q8—24no—
1330C4×Q8—24no—
1331C4×Q8—22no—
1332C4×Q8—22no—
1333C4×Q8—22no—
1334C4×Q8—22no—
1335C4×Q8—22no—
1336C4×Q8—21no—
1337C4×Q8—21no—
1338C4×Q8—22no—
1339C4×Q8—22no—
1340C4×Q8—21no—
1341C4×Q8—21no—
1342C4×Q8—21no—
1343C4×Q8—21no—
1344C4×Q8—24no—
1345C4×Q8C2×D412yes—
1346C4×Q8C2×D412yes—
1347C4×Q8C2412yes—
1348C4×Q8C2414yes—
1349C4×Q8C2412yes—
1350C4×Q8C2414yes—
1351C4×Q8C2412yes—
1352C4×Q8C2412yes—
1353C4×Q8C2414yes—
1354C4×Q8C2414yes—
1355C4×Q8C2414yes—
1356C4×Q8C2414yes—
1357C4×Q8C2414yes—
1358C4×Q8C2412yes—
1359C4×Q8C2412yes—
1360C4×D4—24no—
1361C4×D4—22no—
1362C4×D4—24no—
1363C4×D4—24no—
1364C4×D4—24no—
1365C4×D4—24no—
1366C4×D4—22no—
1367C4×D4—22no—
1368C4×D4—24no—
1369C4×D4—24no—
1370C4×D4—22no—
1371C4×D4—22no—
1372C4×D4—22no—
1373C4×D4—22no—
1374C4×D4—22no—
1375C4×D4—22no—
1376C4×D4—22no—
1377C4×D4—22no—
1378C4×D4—22no—
1379C4×D4—24no—
1380C4×D4—24no—
1381C4×D4—24no—
1382C4×D4—24no—
1383C4×D4—24no—
1384C4×D4—24no—
1385C4×D4—22no—
1386C4×D4—24no—
1387C4×D4—22no—
1388C4×D4—24no—
1389C4×D4—24no—
1390C4×D4—24no—
1391C4×D4—24no—
1392C4×D4—24no—
1393C4×D4—24no—
1394C4×D4—24no—
1395C4×D4—24no—
1396C4×D4—22no—
1397C4×D4—24no—
1398C4×D4—22no—
1399C4×D4—22no—
1400C4×D4—22no—
1401C4×D4—22no—
1402C4×D4—22no—
1403C4×D4—22no—
1404C4×D4—22no—
1405C4×D4—21no—
1406C4×D4—21no—
1407C4×D4—24no—
1408C4×D4—21no—
1409C4×D4—21no—
1410C4×D4—21no—
1411C4×D4—21no—
1412C4×D4C2×D412yes—
1413C4×D4C2×D414yes—
1414C4×D4C2×D412yes—
1415C4×D4C2×D414yes—
1416C4×D4C2412yes—
1417C4×D4C2412yes—
1418C4×D4C2412yes—
1419C4×D4C2412yes—
1420C4×D4C2414yes—
1421C4×D4C2414yes—
1422C4×D4C2414yes—
1423C4×D4C2414yes—
1424C4×D4C2412yes—
1425C4×D4C2412yes—
1426C4×D4C2414yes—
1427#117—22no—
1428#117—22no—
1429#117—22no—
1430#117—22no—
1431#117—21no—
1432#117—21no—
1433#117—24no—
1434#117—22no—
1435#117—24no—
1436#117—22no—
1437#117—24no—
1438#117—24no—
1439#117—24no—
1440#117—24no—
1441#117—24no—
1442#117—24no—
1443#117—22no—
1444#117—22no—
1445#117—22no—
1446#117—22no—
1447#117—22no—
1448#117—22no—
1449#117—24no—
1450#117—22no—
1451#117—24no—
1452#117C2×D414yes—
1453#117C2×D414yes—
1454#117C2412yes—
1455#117C2414yes—
1456#117C2414yes—
1457#117C2414yes—
1458C2×C4⋊C4—21no—
1459C2×C4⋊C4—21no—
1460C2×C4⋊C4—21no—
1461C2×C4⋊C4—21no—
1462C2×C4⋊C4—21no—
1463C2×C4⋊C4—21no—
1464C2×C4⋊C4—21no—
1465C2×C4⋊C4—21no—
1466C2×C4⋊C4—22no—
1467C2×C4⋊C4—22no—
1468C2×C4⋊C4—21no—
1469C2×C4⋊C4—24no—
1470C2×C4⋊C4—22no—
1471C2×C4⋊C4—24no—
1472C2×C4⋊C4—22no—
1473C2×C4⋊C4—24no—
1474C2×C4⋊C4C2×D412yes—
1475C2×C4⋊C4C2×D412yes—
1476C2×C4⋊C4C2×D411yescharacteristic
1477C2×C4⋊C4C2×D412yes—
1478C2×C4⋊C4C2×D411yescharacteristic
1479C2×C4⋊C4C2×D412yes—
1480C2×C4⋊C4C2411yescharacteristic
1481C2×C4⋊C4C2411yescharacteristic
1482C2×C4⋊C4C2412yes—
1483C2×C4⋊C4C2414yes—
1484C2×C22⋊C4—22no—
1485C2×C22⋊C4—21no—
1486C2×C22⋊C4—24no—
1487C2×C22⋊C4—21no—
1488C2×C22⋊C4—21no—
1489C2×C22⋊C4—22no—
1490C2×C22⋊C4—22no—
1491C2×C22⋊C4—21no—
1492C2×C22⋊C4—21no—
1493C2×C22⋊C4—24no—
1494C2×C22⋊C4—24no—
1495C2×C22⋊C4—24no—
1496C2×C22⋊C4—24no—
1497C2×C22⋊C4C2×D412yes—
1498C2×C22⋊C4C2×D412yes—
1499C2×C22⋊C4C2×D412yes—
1500C2×C22⋊C4C2×D412yes—
1501C2×C22⋊C4C2×D412yes—
1502C2×C42—21no—
1503C2×C42—22no—
1504C2×C42—22no—
1505C2×C42—24no—
1506C2×C42C2×D411yescharacteristic
1507C2×C42C2×D411yescharacteristic
1508C2×C42C2×D411yescharacteristic
1509C2×C42C2×D411yescharacteristic
1510C2×C42C2×D411yescharacteristic
1511C2×C42C2×D411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2412yes—
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519#107C2414yes—
1520#107C2412yes—
1521#107C2412yes—
1522#107C2412yes—
1523#107C2412yes—
1524#107C2414yes—
1525#106C2414yes—
1526#106C2412yes—
1527#106C2412yes—
1528#106C2412yes—
1529#106C2412yes—
1530#106C2414yes—
1531C4⋊C8C2412yes—
1532C4⋊C8C2412yes—
1533C4⋊C8C2411yescharacteristic
1534C4⋊C8C2411yescharacteristic
1535C4⋊C8C2411yescharacteristic
1536C4⋊C8C2411yescharacteristic
1537C4⋊C8C2412yes—
1538C4⋊C8C2412yes—
1539C4⋊C8C2411yescharacteristic
1540C4⋊C8C2411yescharacteristic
1541C4⋊C8C2411yescharacteristic
1542C4⋊C8C2411yescharacteristic
1543C4⋊C8C2414yes—
1544C4⋊C8C2414yes—
1545C4⋊C8C2414yes—
1546C4⋊C8C2414yes—
1547#103C2412yes—
1548#103C2414yes—
1549#103C2414yes—
1550#103C2414yes—
1551#103C2414yes—
1552#103C2414yes—
1553#103C2414yes—
1554#103C2412yes—
1555#103C2414yes—
1556#103C2412yes—
1557#103C2414yes—
1558#103C2414yes—
1559#103C2414yes—
1560#103C2412yes—
1561#103C2412yes—
1562#103C2414yes—
1563#103C2414yes—
1564#103C2412yes—
1565#103C2412yes—
1566#103C2414yes—
1567#103C2414yes—
1568#103C2412yes—
1569#102C2412yes—
1570#102C2414yes—
1571#102C2414yes—
1572#102C2414yes—
1573#102C2414yes—
1574#102C2414yes—
1575#102C2414yes—
1576#102C2412yes—
1577#102C2414yes—
1578#102C2412yes—
1579#102C2414yes—
1580#102C2414yes—
1581#102C2414yes—
1582#102C2412yes—
1583#102C2412yes—
1584#102C2412yes—
1585#102C2412yes—
1586#102C2412yes—
1587C22⋊C8C2412yes—
1588C22⋊C8C2412yes—
1589C22⋊C8C2412yes—
1590C22⋊C8C2412yes—
1591C22⋊C8C2412yes—
1592C22⋊C8C2414yes—
1593C22⋊C8C2414yes—
1594C22⋊C8C2412yes—
1595C22⋊C8C2412yes—
1596C22⋊C8C2412yes—
1597C22⋊C8C2414yes—
1598C22⋊C8C2414yes—
1599#97C2412yes—
1600#97C2412yes—
1601#97C2414yes—
1602#97C2414yes—
1603C4×C8C2412yes—
1604C4×C8C2412yes—
1605C4×C8C2412yes—
1606C4×C8C2412yes—
1607C4×C8C2412yes—
1608C4×C8C2412yes—
1609C4×C8C2414yes—
1610C4×C8C2414yes—
1611C24—21no—
1612C24—22no—
1613C24—24no—
1614C24C22×D411yescharacteristic
1615C24C22×D412yes—
1616#41—44no—
1617#41—42no—
1618#41—42no—
1619#41—44no—
1620#41—44no—
1621#41—44no—
1622#41—44no—
1623#41—44no—
1624#41—44no—
1625#41—44no—
1626#41—44no—
1627#41—44no—
1628#41—82no—
1629#41—82no—
1630#41—88no—
1631#41—84no—
1632#41—84no—
1633#41—84no—
1634#41—88no—
1635#41—84no—
1636C2×Q8—22no—
1637C2×Q8—24no—
1638C2×Q8—24no—
1639C2×Q8—21no—
1640C2×Q8—21no—
1641C2×Q8—21no—
1642C2×Q8—22no—
1643C2×Q8—22no—
1644C2×Q8—24no—
1645C2×Q8—22no—
1646C2×Q8—42no—
1647C2×Q8—41no—
1648C2×Q8—44no—
1649C2×Q8—42no—
1650C2×Q8—41no—
1651C2×Q8—44no—
1652C2×Q8—42no—
1653C2×Q8—44no—
1654C2×Q8—42no—
1655C2×Q8—42no—
1656C2×Q8—44no—
1657C2×Q8—82no—
1658C2×Q8—84no—
1659C2×Q8C22×D412yes—
1660C2×Q8C22×D412yes—
1661C2×Q8C2514yes—
1662C2×Q8C2512yes—
1663C2×Q8C2512yes—
1664C2×Q8C2514yes—
1665C2×D4—22no—
1666C2×D4—22no—
1667C2×D4—22no—
1668C2×D4—22no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—22no—
1673C2×D4—24no—
1674C2×D4—24no—
1675C2×D4—24no—
1676C2×D4—24no—
1677C2×D4—24no—
1678C2×D4—22no—
1679C2×D4—24no—
1680C2×D4—21no—
1681C2×D4—21no—
1682C2×D4—22no—
1683C2×D4—24no—
1684C2×D4—22no—
1685C2×D4—22no—
1686C2×D4—21no—
1687C2×D4—24no—
1688C2×D4—22no—
1689C2×D4—42no—
1690C2×D4—41no—
1691C2×D4—42no—
1692C2×D4—41no—
1693C2×D4—42no—
1694C2×D4—44no—
1695C2×D4—44no—
1696C2×D4—44no—
1697C2×D4—44no—
1698C2×D4—82no—
1699C2×D4—82no—
1700C2×D4—84no—
1701C2×D4—88no—
1702C2×D4—84no—
1703C2×D4—88no—
1704C2×D4C22×D414yes—
1705C2×D4C22×D412yes—
1706C2×D4C22×D414yes—
1707C2×D4C22×D412yes—
1708C2×D4C2514yes—
1709C2×D4C2512yes—
1710C2×D4C2512yes—
1711C22×C4—21no—
1712C22×C4—21no—
1713C22×C4—22no—
1714C22×C4—22no—
1715C22×C4—21no—
1716C22×C4—22no—
1717C22×C4—24no—
1718C22×C4—24no—
1719C22×C4—24no—
1720C22×C4—22no—
1721C22×C4—22no—
1722C22×C4—24no—
1723C22×C4—22no—
1724C22×C4—22no—
1725C22×C4—24no—
1726C22×C4—24no—
1727C22×C4—24no—
1728C22×C4—24no—
1729C22×C4—24no—
1730C22×C4—24no—
1731C22×C4—24no—
1732C22×C4—22no—
1733C22×C4—42no—
1734C22×C4—41no—
1735C22×C4—41no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—82no—
1740C22×C4—84no—
1741C22×C4—88no—
1742C22×C4C22×D411yescharacteristic
1743C22×C4C22×D411yescharacteristic
1744C22×C4C22×D411yescharacteristic
1745C22×C4C22×D411yescharacteristic
1746C22×C4C22×D411yescharacteristic
1747C22×C4C22×D411yescharacteristic
1748C22×C4C22×D411yescharacteristic
1749C22×C4C22×D411yescharacteristic
1750C22×C4C22×D411yescharacteristic
1751C22×C4C22×D411yescharacteristic
1752C22×C4C22×D411yescharacteristic
1753C22×C4C22×D411yescharacteristic
1754C22×C4C22×D411yescharacteristic
1755C22×C4C22×D411yescharacteristic
1756C22×C4C22×D411yescharacteristic
1757C22×C4C22×D412yes—
1758C22×C4C22×D412yes—
1759C22×C4C22×D412yes—
1760C22×C4C22×D414yes—
1761C22×C4C2511yescharacteristic
1762C22×C4C2511yescharacteristic
1763C22×C4C2511yescharacteristic
1764C22×C4C2514yes—
1765Q16—44no—
1766Q16—42no—
1767Q16—44no—
1768Q16—44no—
1769Q16—44no—
1770Q16—44no—
1771Q16—44no—
1772Q16—44no—
1773Q16—42no—
1774Q16—44no—
1775SD16—44no—
1776SD16—42no—
1777SD16—44no—
1778SD16—44no—
1779SD16—44no—
1780SD16—44no—
1781SD16—44no—
1782SD16—42no—
1783SD16—44no—
1784SD16—44no—
1785SD16—44no—
1786SD16—42no—
1787SD16—42no—
1788SD16—44no—
1789D8—44no—
1790D8—44no—
1791D8—42no—
1792D8—42no—
1793M16—44no—
1794M16—42no—
1795M16—42no—
1796M16—44no—
1797C2×C8—42no—
1798C2×C8—42no—
1799C2×C8—44no—
1800C2×C8—44no—
1801C2×C8C2512yes—
1802C2×C8C2512yes—
1803C2×C8C2512yes—
1804C2×C8C2512yes—
1805C2×C8C2512yes—
1806C2×C8C2512yes—
1807C2×C8C2512yes—
1808C2×C8C2512yes—
1809C4⋊C4—22no—
1810C4⋊C4—22no—
1811C4⋊C4—22no—
1812C4⋊C4—22no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—22no—
1818C4⋊C4—22no—
1819C4⋊C4—22no—
1820C4⋊C4—22no—
1821C4⋊C4—22no—
1822C4⋊C4—22no—
1823C4⋊C4—22no—
1824C4⋊C4—22no—
1825C4⋊C4—22no—
1826C4⋊C4—24no—
1827C4⋊C4—22no—
1828C4⋊C4—22no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—22no—
1832C4⋊C4—22no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—24no—
1836C4⋊C4—22no—
1837C4⋊C4—24no—
1838C4⋊C4—22no—
1839C4⋊C4—21no—
1840C4⋊C4—21no—
1841C4⋊C4—22no—
1842C4⋊C4—24no—
1843C4⋊C4—24no—
1844C4⋊C4—24no—
1845C4⋊C4—24no—
1846C4⋊C4—22no—
1847C4⋊C4—22no—
1848C4⋊C4—22no—
1849C4⋊C4—24no—
1850C4⋊C4—21no—
1851C4⋊C4—21no—
1852C4⋊C4—21no—
1853C4⋊C4—21no—
1854C4⋊C4—24no—
1855C4⋊C4—22no—
1856C4⋊C4—24no—
1857C4⋊C4—22no—
1858C4⋊C4—24no—
1859C4⋊C4—24no—
1860C4⋊C4—24no—
1861C4⋊C4—24no—
1862C4⋊C4C22×D412yes—
1863C4⋊C4C22×D414yes—
1864C4⋊C4C22×D414yes—
1865C4⋊C4C22×D412yes—
1866C4⋊C4C22×D414yes—
1867C4⋊C4C22×D414yes—
1868C4⋊C4C22×D414yes—
1869C4⋊C4C22×D414yes—
1870C4⋊C4C22×D414yes—
1871C4⋊C4C22×D412yes—
1872C4⋊C4C22×D414yes—
1873C4⋊C4C22×D412yes—
1874C4⋊C4C2512yes—
1875C4⋊C4C2514yes—
1876C4⋊C4C2512yes—
1877C4⋊C4C2512yes—
1878C4⋊C4C2512yes—
1879C22⋊C4—22no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—22no—
1883C22⋊C4—22no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—22no—
1890C22⋊C4—24no—
1891C22⋊C4—22no—
1892C22⋊C4—24no—
1893C22⋊C4—22no—
1894C22⋊C4—22no—
1895C22⋊C4—22no—
1896C22⋊C4—22no—
1897C22⋊C4—22no—
1898C22⋊C4—22no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—22no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—22no—
1910C22⋊C4—22no—
1911C22⋊C4—24no—
1912C22⋊C4—22no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—22no—
1916C22⋊C4—22no—
1917C22⋊C4—24no—
1918C22⋊C4—22no—
1919C22⋊C4—24no—
1920C22⋊C4—22no—
1921C22⋊C4—24no—
1922C22⋊C4C22×D414yes—
1923C22⋊C4C22×D414yes—
1924C22⋊C4C22×D414yes—
1925C22⋊C4C22×D414yes—
1926C22⋊C4C22×D414yes—
1927C22⋊C4C22×D414yes—
1928C22⋊C4C22×D414yes—
1929C22⋊C4C22×D414yes—
1930C22⋊C4C22×D414yes—
1931C22⋊C4C22×D414yes—
1932C42—22no—
1933C42—22no—
1934C42—22no—
1935C42—24no—
1936C42—24no—
1937C42—22no—
1938C42—22no—
1939C42—24no—
1940C42—24no—
1941C42—24no—
1942C42—24no—
1943C42—24no—
1944C42—24no—
1945C42C22×D411yescharacteristic
1946C42C22×D414yes—
1947C42C22×D411yescharacteristic
1948C42C22×D411yescharacteristic
1949C42C22×D411yescharacteristic
1950C42C22×D411yescharacteristic
1951C42C22×D411yescharacteristic
1952C42C22×D411yescharacteristic
1953C42C22×D411yescharacteristic
1954C42C22×D411yescharacteristic
1955C42C22×D411yescharacteristic
1956C42C22×D411yescharacteristic
1957C42C22×D411yescharacteristic
1958C42C2511yescharacteristic
1959C42C2511yescharacteristic
1960C42C2511yescharacteristic
1961C42C2514yes—
1962C42C2511yescharacteristic
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—24no—
1967C23—41no—
1968C23—41no—
1969C23—42no—
1970C23—42no—
1971C23—42no—
1972C23—42no—
1973C23—44no—
1974C23—82no—
1975C23—84no—
1976C23—81no—
1977C23—81no—
1978C23—82no—
1979C23—84no—
1980C23—84no—
1981C23C23×D411yescharacteristic
1982C23C23×D414yes—
1983C23C23×D411yescharacteristic
1984C23C23×D411yescharacteristic
1985Q8—24no—
1986Q8—22no—
1987Q8—24no—
1988Q8—24no—
1989Q8—24no—
1990Q8—22no—
1991Q8—22no—
1992Q8—22no—
1993Q8—24no—
1994Q8—42no—
1995Q8—44no—
1996Q8—82no—
1997Q8—84no—
1998Q8—81no—
1999Q8—84no—
2000Q8—82no—
2001Q8—82no—
2002Q8—84no—
2003Q8—81no—
2004Q8—81no—
2005D4—28no—
2006D4—24no—
2007D4—22no—
2008D4—24no—
2009D4—22no—
2010D4—22no—
2011D4—22no—
2012D4—24no—
2013D4—42no—
2014D4—44no—
2015D4—44no—
2016D4—44no—
2017D4—48no—
2018D4—44no—
2019D4—44no—
2020D4—44no—
2021D4—81no—
2022D4—84no—
2023D4—82no—
2024D4—82no—
2025D4—82no—
2026D4—82no—
2027D4—84no—
2028D4—81no—
2029D4—84no—
2030D4—81no—
2031D4—84no—
2032D4—84no—
2033D4—84no—
2034D4—84no—
2035D4—84no—
2036D4—84no—
2037D4—82no—
2038D4—84no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—24no—
2047C2×C4—24no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—24no—
2057C2×C4—24no—
2058C2×C4—22no—
2059C2×C4—24no—
2060C2×C4—22no—
2061C2×C4—41no—
2062C2×C4—44no—
2063C2×C4—41no—
2064C2×C4—41no—
2065C2×C4—41no—
2066C2×C4—41no—
2067C2×C4—41no—
2068C2×C4—41no—
2069C2×C4—41no—
2070C2×C4—41no—
2071C2×C4—41no—
2072C2×C4—42no—
2073C2×C4—42no—
2074C2×C4—42no—
2075C2×C4—48no—
2076C2×C4—44no—
2077C2×C4—42no—
2078C2×C4—44no—
2079C2×C4—44no—
2080C2×C4—82no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—84no—
2087C2×C4—84no—
2088C2×C4—82no—
2089C2×C4—81no—
2090C2×C4—82no—
2091C2×C4—84no—
2092C2×C4—82no—
2093C2×C4—84no—
2094C2×C4—81no—
2095C2×C4—82no—
2096C2×C4—84no—
2097C2×C4C23×D411yescharacteristic
2098C2×C4C23×D411yescharacteristic
2099C2×C4C23×D414yes—
2100C2×C4C23×D411yescharacteristic
2101C2×C4C23×D411yescharacteristic
2102C2×C4C23×D414yes—
2103C2×C4C23×D414yes—
2104C2×C4C23×D411yescharacteristic
2105C2×C4C23×D411yescharacteristic
2106C2×C4C23×D411yescharacteristic
2107C2×C4C23×D411yescharacteristic
2108C2×C4C23×D411yescharacteristic
2109C2×C4C23×D411yescharacteristic
2110C2×C4C23×D411yescharacteristic
2111C2×C4C2611yescharacteristic
2112C8—22no—
2113C8—22no—
2114C8—22no—
2115C8—22no—
2116C8—22no—
2117C8—22no—
2118C8—22no—
2119C8—22no—
2120C22—21no—
2121C22—21no—
2122C22—21no—
2123C22—21no—
2124C22—24no—
2125C22—21no—
2126C22—21no—
2127C22—24no—
2128C22—21no—
2129C22—21no—
2130C22—24no—
2131C22—42no—
2132C22—42no—
2133C22—44no—
2134C22—42no—
2135C22—44no—
2136C22—42no—
2137C22—44no—
2138C22—42no—
2139C22—42no—
2140C22—82no—
2141C22—162no—
2142C22—164no—
2143C22—162no—
2144C22—168no—
2145C22#358612yes—
2146C22C24×D411yescharacteristic
2147C4—21no—
2148C4—21no—
2149C4—21no—
2150C4—24no—
2151C4—21no—
2152C4—21no—
2153C4—21no—
2154C4—21no—
2155C4—24no—
2156C4—21no—
2157C4—21no—
2158C4—24no—
2159C4—21no—
2160C4—42no—
2161C4—42no—
2162C4—44no—
2163C4—42no—
2164C4—42no—
2165C4—44no—
2166C4—42no—
2167C4—44no—
2168C4—42no—
2169C4#358412yes—
2170C4H(7,𝔽2)11yescharacteristic
2171C4H(7,𝔽2)11yescharacteristic
2172C2—22no—
2173C2—41no—
2174C2—41no—
2175C2—44no—
2176C2—82no—
2177C2—82no—
2178C2—84no—
2179C2#6285211yescharacteristic
2180C2C2×#358411yescharacteristic
2181C2C2×#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. #62618C2semidirect
4. #62616C2semidirect
5. #62559C2semidirect
6. #62556C2semidirect
7. #62466C2semidirect
8. #62464C2semidirect
9. #62437C2semidirect
10. #62435C2semidirect
11. #62056C2semidirect
12. #62055C2semidirect
13. #62054C2semidirect
14. #62053C2semidirect
15. #62030C2semidirect
16. #62029C2semidirect
17. #61897C2semidirect
18. #61887C2semidirect
19. #61607C2semidirect
20. #61597C2semidirect
21. #61589C2semidirect
22. #61568C2semidirect
23. #60984C2semidirect
24. #60954C2semidirect
25. #60947C2semidirect
26. #60816C2semidirect
27. #60804C2semidirect
28. C2×#3212C2semidirect
29. #60290C2semidirect
33. #3563C22semidirect
34. #3562C22semidirect
37. #3561C22semidirect
42. #3554C22semidirect
45. #3552C22semidirect
46. #3552C22semidirect
47. #3546C22semidirect
53. #3523C22semidirect
54. #3523C22semidirect
55. #3520C22semidirect
56. #3520C22semidirect
58. #3516C22semidirect
60. #3505C22semidirect
62. #3501C22semidirect
64. #3495C22semidirect
67. #3480C22semidirect
69. D4×#41C22semidirect
72. #3455C22semidirect
73. #3449C22semidirect
75. C2×#533C22semidirect
78. C2×#529C22semidirect
79. #3402C22semidirect
80. #3401C22semidirect
81. #3400C22semidirect
82. #3398C22semidirect
83. #3398C22semidirect
84. #3397C22semidirect
85. #3395C22semidirect
86. #3394C22semidirect
87. #3394C22semidirect
88. #3393C22semidirect
89. #3393C22semidirect
90. #3392C22semidirect
91. #3377C22semidirect
92. #3374C22semidirect
93. #3373C22semidirect
94. #3371C22semidirect
95. #3368C22semidirect
96. #3367C22semidirect
97. #3365C22semidirect
98. #3365C22semidirect
99. #3364C22semidirect
100. #3364C22semidirect
101. #3359C22semidirect
102. #3358C22semidirect
103. #3333C22semidirect
104. #3332C22semidirect
105. #3331C22semidirect
106. #3330C22semidirect
107. #3328C22semidirect
108. #3327C22semidirect
109. #3326C22semidirect
110. #3324C22semidirect
111. #3323C22semidirect
112. #3322C22semidirect
113. #3316C22semidirect
114. #3316C22semidirect
115. #3314C22semidirect
116. #3314C22semidirect
117. #3312C22semidirect
118. #3310C22semidirect
119. #3309C22semidirect
120. #3307C22semidirect
121. #3304C22semidirect
122. #3302C22semidirect
123. #3300C22semidirect
124. #3300C22semidirect
125. #3299C22semidirect
126. #3298C22semidirect
127. #3296C22semidirect
128. #3296C22semidirect
129. #3295C22semidirect
130. #3294C22semidirect
131. D4×Q16C22semidirect
132. D4×Q16C22semidirect
133. #3285C22semidirect
134. #3284C22semidirect
135. #3283C22semidirect
136. #3282C22semidirect
137. #3282C22semidirect
138. D4×SD16C22semidirect
139. D4×SD16C22semidirect
140. #3280C22semidirect
141. #3278C22semidirect
142. #3278C22semidirect
143. #3277C22semidirect
144. #3277C22semidirect
145. #3276C22semidirect
146. #3276C22semidirect
147. #3276C22semidirect
148. #3275C22semidirect
149. #3275C22semidirect
150. #3272C22semidirect
151. #3271C22semidirect
152. #3270C22semidirect
153. #3270C22semidirect
154. #3269C22semidirect
155. #3266C22semidirect
156. #3266C22semidirect
157. #3266C22semidirect
158. #3264C22semidirect
159. #3261C22semidirect
160. #3260C22semidirect
161. #3258C22semidirect
162. #3257C22semidirect
163. #3256C22semidirect
164. #3256C22semidirect
165. #3248C22semidirect
166. #3248C22semidirect
167. #3244C22semidirect
168. #3243C22semidirect
169. #3240C22semidirect
170. #3236C22semidirect
171. #3234C22semidirect
172. #3231C22semidirect
173. #3229C22semidirect
174. #3226C22semidirect
175. #3225C22semidirect
176. #3225C22semidirect
177. #3225C22semidirect
178. #3225C22semidirect
179. #3224C22semidirect
180. #3224C22semidirect
181. #3223C22semidirect
182. #3223C22semidirect
183. #3222C22semidirect
184. #3222C22semidirect
185. #3219C22semidirect
186. #3219C22semidirect
187. #3216C22semidirect
188. #3216C22semidirect
189. #3215C22semidirect
190. #3215C22semidirect
191. #3215C22semidirect
192. #3213C22semidirect
193. #3212C22semidirect
194. #3212C22semidirect
195. #3212C22semidirect
196. #3212C22semidirect
197. #3212C22semidirect
198. #3212C22semidirect
199. #3212C22semidirect
200. #3210C22semidirect
201. #3210C22semidirect
202. #3210C22semidirect
203. #3210C22semidirect
204. #3209C22semidirect
205. #3209C22semidirect
206. #3208C22semidirect
207. #3206C22semidirect
208. #3197C22semidirect
209. #3196C22semidirect
210. #3196C22semidirect
211. #3194C22semidirect
212. #3191C22semidirect
213. #3190C22semidirect
214. #3190C22semidirect
215. #3178C22semidirect
216. #3178C22semidirect
217. #3175C22semidirect
218. #3173C22semidirect
219. #3172C22semidirect
220. #3171C22semidirect
221. #3170C22semidirect
222. #3167C22semidirect
223. #3156C22semidirect
224. #3154C22semidirect
225. #3152C22semidirect
226. C2×#495C22semidirect
227. #3141C22semidirect
228. #3137C22semidirect
229. #3136C22semidirect
230. C2×#488C22semidirect
231. #3127C22semidirect
232. #3126C22semidirect
233. #3120C22semidirect
234. #3119C22semidirect
235. #3116C22semidirect
236. #3111C22semidirect
237. #3108C22semidirect
238. #3108C22semidirect
239. #3107C22semidirect
240. #3107C22semidirect
241. #3107C22semidirect
242. #3105C22semidirect
243. #3102C22semidirect
244. #3102C22semidirect
245. #3102C22semidirect
246. #3046C22semidirect
247. #3045C22semidirect
248. #3044C22semidirect
249. #3043C22semidirect
250. #3037C22semidirect
251. #3037C22semidirect
252. C2×#462C22semidirect
253. C2×#460C22semidirect
254. C2×#461C22semidirect
255. C2×#459C22semidirect
256. #3007C22semidirect
257. #3007C22semidirect
258. #3005C22semidirect
259. #3002C22semidirect
260. C2×#452C22semidirect
261. C2×#452C22semidirect
262. C2×#449C22semidirect
263. #2994C22semidirect
264. #2994C22semidirect
265. #2993C22semidirect
266. #2993C22semidirect
267. #2983C22semidirect
268. #2982C22semidirect
269. #2975C22semidirect
270. #2974C22semidirect
271. #2972C22semidirect
272. #2969C22semidirect
273. #2969C22semidirect
274. #2966C22semidirect
275. #2966C22semidirect
276. #2924C22semidirect
277. #2920C22semidirect
278. C2×#431C22semidirect

Maximal subgroups

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

subgroupindex
#628232
#627482
#626182
#626162
#625592
#625562
#624662
#624642
#624372
#624352
#620562
#620552
#620542
#620532
#620302
#620292
#618972
#618872
#616072
#615972
#615892
#615682
#609842
#609542
#609472
#608162
#608042
C2×#32122
#602902