Finite Group Databasebeta

← #10581860

Subgroups — #10581860

Order 512.

6302 conjugacy classes of subgroups.

The subgroup lattice has 2222 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62822C211yesmaximal, characteristic, complemented
2#62748C211yesmaximal, characteristic, complemented
3#62619C212yesmaximal, complemented
4#62617C212yesmaximal, complemented
5#62558C212yesmaximal, complemented
6#62557C212yesmaximal, complemented
7#62465C212yesmaximal, complemented
8#62463C212yesmaximal, complemented
9#62436C212yesmaximal, complemented
10#62435C212yesmaximal, complemented
11#62058C212yesmaximal, complemented
12#62057C212yesmaximal, complemented
13#62052C212yesmaximal, complemented
14#62051C212yesmaximal, complemented
15#62028C214yesmaximal, complemented
16#62027C214yesmaximal, complemented
17#61896C212yesmaximal, complemented
18#61886C212yesmaximal, complemented
19#61606C214yesmaximal, complemented
20#61598C214yesmaximal, complemented
21#61590C212yesmaximal, complemented
22#61567C212yesmaximal, complemented
23#60985C214yesmaximal, complemented
24#60954C211yesmaximal, characteristic, complemented
25#60946C211yesmaximal, characteristic, complemented
26#60815C214yesmaximal, complemented
27#60803C211yesmaximal, characteristic, complemented
28C2×#3212C211yesmaximal, characteristic, complemented
29#60290C211yesmaximal, characteristic, complemented
30#3562C2214yescomplemented
31#3561C2212yescomplemented
32#3560—22no—
33#3560—22no—
34#3560—22no—
35#3559—21no—
36#3559—21no—
37#3559C2212yescomplemented
38#3558—21no—
39#3558—21no—
40#3558C2212yescomplemented
41#3558C2212yescomplemented
42#3554C2212yescomplemented
43#3552C2212yescomplemented
44#3546C2212yescomplemented
45#3545—22no—
46#3544C2212yescomplemented
47#3543C2212yescomplemented
48#3543C2212yescomplemented
49#3537—21no—
50#3536—21no—
51#3534—22no—
52#3529—22no—
53#3522C2212yescomplemented
54#3522C2212yescomplemented
55#3519C2212yescomplemented
56#3519C2212yescomplemented
57#3513—22no—
58#3513C2214yescomplemented
59#3505—21no—
60#3505C2212yescomplemented
61#3496—21no—
62#3496C2212yescomplemented
63#3494—22no—
64#3494C2214yescomplemented
65#3485—22no—
66#3481—22no—
67#3480C2212yescomplemented
68D4×#41C2212yescomplemented
69D4×#41C2214yescomplemented
70#3460—22no—
71#3459—22no—
72#3455C2212yescomplemented
73#3449C2212yescomplemented
74#3444C2211yescharacteristic, complemented
75C2×#532C2211yescharacteristic, complemented
76C2×#532C2211yescharacteristic, complemented
77C2×#529C2211yescharacteristic
78C2×#529C2211yescharacteristic, complemented
79#3403C2214yescomplemented
80#3401C2214yescomplemented
81#3400C2212yescomplemented
82#3399C2212yescomplemented
83#3399C2212yescomplemented
84#3397C2212yescomplemented
85#3396C2212yescomplemented
86#3396C2214yescomplemented
87#3394C2214yescomplemented
88#3394C2212yescomplemented
89#3392C2212yescomplemented
90#3391C2212yescomplemented
91#3376C2214yescomplemented
92#3375C2212yescomplemented
93#3372C2212yescomplemented
94#3370C2214yescomplemented
95#3369C2212yescomplemented
96#3366C2212yescomplemented
97#3363C2212yescomplemented
98#3362C2212yescomplemented
99#3361C2214yescomplemented
100#3361C2212yescomplemented
101#3360C2214yescomplemented
102#3360C2212yescomplemented
103#3333C2212yescomplemented
104#3332C2214yescomplemented
105#3331C2212yescomplemented
106#3330C2214yescomplemented
107#3329C2212yescomplemented
108#3327C2214yescomplemented
109#3326C2214yescomplemented
110#3325C2212yescomplemented
111#3323C2214yescomplemented
112#3322C2214yescomplemented
113#3320C2214yescomplemented
114#3318C2214yescomplemented
115#3317C2214yescomplemented
116#3315C2214yescomplemented
117#3308C2214yescomplemented
118#3308C2214yescomplemented
119#3306C2214yescomplemented
120#3306C2214yescomplemented
121#3305C2212yescomplemented
122#3303C2212yescomplemented
123#3301C2214yescomplemented
124#3301C2214yescomplemented
125#3299C2212yescomplemented
126#3298C2214yescomplemented
127#3297C2214yescomplemented
128#3297C2214yescomplemented
129#3295C2212yescomplemented
130#3294C2214yescomplemented
131#3287C2212yescomplemented
132#3285C2214yescomplemented
133#3284C2212yescomplemented
134#3282C2214yescomplemented
135#3282C2214yescomplemented
136D4×SD16C2212yescomplemented
137D4×SD16C2214yescomplemented
138#3280C2214yescomplemented
139D4×D8C2212yescomplemented
140D4×D8C2214yescomplemented
141#3278C2212yescomplemented
142#3275C2214yescomplemented
143#3275C2214yescomplemented
144#3274C2212yescomplemented
145#3274C2214yescomplemented
146#3274C2212yescomplemented
147#3273C2214yescomplemented
148#3273C2214yescomplemented
149#3272C2214yescomplemented
150#3272C2212yescomplemented
151#3270C2214yescomplemented
152#3268C2214yescomplemented
153#3267C2214yescomplemented
154#3265C2214yescomplemented
155#3265C2214yescomplemented
156#3265C2214yescomplemented
157#3264C2214yescomplemented
158#3264C2214yescomplemented
159#3260C2214yescomplemented
160#3259C2214yescomplemented
161#3258C2214yescomplemented
162#3257C2214yescomplemented
163#3256C2212yescomplemented
164#3256C2212yescomplemented
165#3247C2212yescomplemented
166#3247C2212yescomplemented
167#3244C2214yescomplemented
168#3243C2214yescomplemented
169#3240C2212yescomplemented
170#3236C2211yescharacteristic, complemented
171#3234C2211yescharacteristic, complemented
172#3230C2211yescharacteristic, complemented
173#3228C2212yescomplemented
174#3227C2211yescharacteristic, complemented
175#3225C2214yescomplemented
176#3225C2214yescomplemented
177#3224C2214yescomplemented
178#3224C2214yescomplemented
179#3224C2214yescomplemented
180#3224C2214yescomplemented
181#3221C2214yescomplemented
182#3221C2214yescomplemented
183#3220C2214yescomplemented
184#3220C2214yescomplemented
185#3219C2212yescomplemented
186#3219C2214yescomplemented
187#3215C2211yescharacteristic, complemented
188#3214C2214yescomplemented
189#3214C2214yescomplemented
190#3213C2211yescharacteristic, complemented
191#3213C2212yescomplemented
192#3213C2212yescomplemented
193#3212C2212yescomplemented
194#3212C2214yescomplemented
195#3212C2214yescomplemented
196#3212C2212yescomplemented
197#3212C2212yescomplemented
198#3212C2212yescomplemented
199#3212C2214yescomplemented
200#3208C2211yescharacteristic, complemented
201#3207C2212yescomplemented
202#3207C2212yescomplemented
203#3207C2212yescomplemented
204#3207C2214yescomplemented
205#3206C2212yescomplemented
206#3205C2211yescharacteristic, complemented
207#3205C2212yescomplemented
208#3197C2214yescomplemented
209#3196C2212yescomplemented
210#3194C2212yescomplemented
211#3194C2214yescomplemented
212#3191C2214yescomplemented
213#3188C2214yescomplemented
214#3188C2214yescomplemented
215#3179C2214yescomplemented
216#3179C2214yescomplemented
217#3175C2214yescomplemented
218#3173C2214yescomplemented
219#3172C2212yescomplemented
220#3171C2212yescomplemented
221#3169C2212yescomplemented
222#3167C2212yescomplemented
223#3155C2214yescomplemented
224#3154C2214yescomplemented
225#3151C2212yescomplemented
226C2×#495C2212yescomplemented
227#3141C2212yescomplemented
228#3137C2214yescomplemented
229#3136C2214yescomplemented
230C2×#488C2212yescomplemented
231#3123C2214yescomplemented
232#3122C2214yescomplemented
233#3120C2214yescomplemented
234#3119C2214yescomplemented
235#3115C2214yescomplemented
236#3111C2214yescomplemented
237#3108C2212yescomplemented
238#3106C2212yescomplemented
239#3106C2212yescomplemented
240#3106C2214yescomplemented
241#3105C2214yescomplemented
242#3105C2212yescomplemented
243#3102C2212yescomplemented
244#3102C2212yescomplemented
245#3102C2214yescomplemented
246#3046C2214yescomplemented
247#3045C2214yescomplemented
248#3042C2214yescomplemented
249#3041C2214yescomplemented
250#3036C2212yescomplemented
251#3036C2212yescomplemented
252C2×#462C2211yescharacteristic, complemented
253C2×#460C2211yescharacteristic, complemented
254C2×#461C2211yescharacteristic, complemented
255C2×#459C2211yescharacteristic, complemented
256#3006C2214yescomplemented
257#3006C2214yescomplemented
258#3005C2214yescomplemented
259#3002C2214yescomplemented
260C2×#452C2212yescomplemented
261C2×#449C2212yescomplemented
262C2×#449C2214yescomplemented
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
279C2×H(5,𝔽2)—22no—
280C22×#41—21no—
281C22×#41C2312yes—
282C22×#41C2314yes—
283C2×#137C2314yes—
284C2×AGL(1,ℤ/8)C2314yes—
285C2×AGL(1,ℤ/8)C2314yes—
286C2×AGL(1,ℤ/8)C2314yes—
287C2×AGL(1,ℤ/8)C2314yes—
288C2×AGL(1,ℤ/8)C2314yes—
289C2×#135C2314yes—
290C2×#135C2314yes—
291C22×Q16C2312yes—
292C22×SD16C2312yes—
293C22×SD16C2312yes—
294C22×SD16C2314yes—
295C22×D8C2312yes—
296C22×D8C2314yes—
297#563—24no—
298#563—24no—
299#563—22no—
300#563—22no—
301#562—22no—
302#562—22no—
303#562—22no—
304#562—22no—
305#562—24no—
306#562—24no—
307H(3,𝔽4)—22no—
308H(3,𝔽4)—22no—
309#560—24no—
310#560—24no—
311#560—24no—
312#560—24no—
313#559—22no—
314#559—22no—
315#559C2314yes—
316#559C2312yes—
317#559C2312yes—
318#559C2314yes—
319Q82C2312yes—
320#557C2312yes—
321#556C2312yes—
322#556C2314yes—
323#555—24no—
324#555C2312yes—
325#554—22no—
326#554—22no—
327#554—22no—
328#554C2312yes—
329#554C2314yes—
330#554C2312yes—
331#553—24no—
332#553—24no—
333#553—22no—
334#553—22no—
335#553—22no—
336#553—24no—
337#553—24no—
338#553—24no—
339#553—22no—
340#553—24no—
341#553—22no—
342#553C2314yes—
343#553C2314yes—
344#552—22no—
345#552C2314yes—
346#551—24no—
347#551—24no—
348#551—24no—
349#551—24no—
350#551—24no—
351#551—24no—
352#551—24no—
353#550C2314yes—
354#550C2312yes—
355#550C2312yes—
356#550C2312yes—
357#550C2312yes—
358D4×Q8C2312yes—
359D4×Q8C2314yes—
360#548—22no—
361#548—22no—
362#548C2314yes—
363#548C2314yes—
364#548C2314yes—
365#548C2314yes—
366#547—24no—
367#547—24no—
368#547—22no—
369#547—22no—
370#547—24no—
371#547—24no—
372#547—24no—
373#547—22no—
374#547C2314yes—
375#547C2312yes—
376#547C2314yes—
377#547C2314yes—
378#546—22no—
379#546—22no—
380#546—24no—
381#546—24no—
382#546—24no—
383#546—22no—
384#546—22no—
385#546—24no—
386#546—24no—
387#546—24no—
388#546—24no—
389#546—24no—
390#546—24no—
391#546—24no—
392#546—24no—
393#546—24no—
394#546C2314yes—
395#546C2314yes—
396#546C2314yes—
397#546C2314yes—
398#546C2314yes—
399D42—24no—
400D42—22no—
401D42—22no—
402D42—22no—
403D42—22no—
404D42C2314yes—
405D42C2312yes—
406D42C2314yes—
407D42C2314yes—
408D42C2312yes—
409#544—22no—
410#544—22no—
411#544C2314yes—
412#543—22no—
413#542—24no—
414#542—24no—
415#542—22no—
416#542—22no—
417#542—22no—
418#542—22no—
419#542—24no—
420#542C2314yes—
421#542C2314yes—
422#542C2314yes—
423#542C2314yes—
424#541C2314yes—
425#540—22no—
426#540—22no—
427#540—24no—
428#540—22no—
429#540—22no—
430#540C2314yes—
431#540C2314yes—
432#540C2314yes—
433#539—24no—
434#539—24no—
435#539—24no—
436#539—24no—
437#539—24no—
438#539—22no—
439#539—22no—
440#539—22no—
441#539—22no—
442#538—24no—
443#538—24no—
444#538—24no—
445#538—24no—
446#538—24no—
447#538—24no—
448#538—24no—
449#538—22no—
450#538—22no—
451#538—22no—
452#538—24no—
453#538—22no—
454#538—22no—
455#538—22no—
456#537—22no—
457#537—22no—
458#537—22no—
459#537—22no—
460#537—22no—
461#536—24no—
462#536C2314yes—
463#536C2314yes—
464#535—22no—
465#535—22no—
466#535—22no—
467#535C2314yes—
468#535C2314yes—
469#535C2314yes—
470#534—22no—
471#534—24no—
472#534—24no—
473#534—22no—
474#534—22no—
475#534—22no—
476#534—22no—
477#534—22no—
478#534—22no—
479#533C2311yescharacteristic
480#533C2311yescharacteristic
481#533C2311yescharacteristic
482#532—22no—
483#532—22no—
484#532—24no—
485#532—21no—
486#532—21no—
487#532—21no—
488#532—21no—
489#532—21no—
490#532—21no—
491#532—21no—
492#532—21no—
493#532C2312yes—
494#532C2312yes—
495#532C2312yes—
496#532C2312yes—
497#532C2311yescharacteristic
498#532C2314yes—
499#532C2312yes—
500#532C2314yes—
501#532C2312yes—
502#532C2311yescharacteristic
503#532C2311yescharacteristic
504#532C2312yes—
505#532C2312yes—
506C2×C4⋊Q8C2311yescharacteristic
507C2×C4⋊Q8C2311yescharacteristic
508C2×#127C2311yescharacteristic
509C2×#127C2311yescharacteristic
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×#125D411yescharacteristic
541C2×#125C2311yescharacteristic
542C2×#124—21no—
543C2×#124D411yescharacteristic
544C2×#124C2312yes—
545C2×#124C2311yescharacteristic
546#525—21no—
547#525—21no—
548#525—24no—
549#525—22no—
550#525—24no—
551#525—24no—
552#525—24no—
553#525—24no—
554#525—24no—
555#525C2312yes—
556#525C2314yes—
557#525C2314yes—
558C2×#123—21no—
559C2×#123—24no—
560C2×#123D412yes—
561C2×C22⋊Q8D411yescharacteristic
562C2×C22⋊Q8C2311yescharacteristic
563C2×#121—21no—
564C2×#121—21no—
565C2×#121—21no—
566C2×#121—22no—
567C2×#121D411yescharacteristic
568C2×#121C2311yescharacteristic
569C2×#121C2312yes—
570C2×#121C2314yes—
571#520—22no—
572#520C2314yes—
573#518—22no—
574#518—22no—
575#518C2314yes—
576C4×#41—22no—
577C4×#41—21no—
578C4×#41—21no—
579C4×#41C2312yes—
580C4×#41C2314yes—
581C2×C4×Q8C2311yescharacteristic
582C2×C4×Q8C2311yescharacteristic
583C2×C4×D4—21no—
584C2×C4×D4—24no—
585C2×C4×D4—22no—
586C2×C4×D4—21no—
587C2×C4×D4—21no—
588C2×C4×D4—21no—
589C2×C4×D4C2311yescharacteristic
590C2×C4×D4C2312yes—
591C2×C4×D4C2311yescharacteristic
592C2×C4×D4C2312yes—
593C2×#117—21no—
594C2×#117C2312yes—
595C22×C42C2311yescharacteristic
596#501C2312yes—
597#501C2312yes—
598#500C2312yes—
599#498C2312yes—
600#497C2314yes—
601#497C2312yes—
602#496C2314yes—
603#496C2314yes—
604#496C2314yes—
605#496C2314yes—
606#496C2314yes—
607#496C2312yes—
608#495C2314yes—
609#495C2314yes—
610#495C2314yes—
611#495C2314yes—
612#495C2314yes—
613#495C2314yes—
614#493C2312yes—
615#493C2314yes—
616#493C2312yes—
617#493C2312yes—
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#486C2314yes—
643#486C2312yes—
644#486C2312yes—
645#486C2312yes—
646#486C2312yes—
647#486C2312yes—
648#485C2314yes—
649#485C2312yes—
650#485C2312yes—
651#485C2314yes—
652#484C2314yes—
653#484C2314yes—
654#484C2312yes—
655#483C2314yes—
656#483C2312yes—
657#482C2314yes—
658#482C2312yes—
659#482C2312yes—
660#482C2314yes—
661#482C2314yes—
662#482C2314yes—
663#481C2314yes—
664#481C2314yes—
665#481C2312yes—
666#480C2314yes—
667#480C2312yes—
668#479C2312yes—
669#479C2314yes—
670#479C2312yes—
671#479C2312yes—
672#479C2312yes—
673#479C2314yes—
674#478C2312yes—
675#478C2314yes—
676#478C2312yes—
677#478C2314yes—
678#478C2314yes—
679#478C2312yes—
680#478C2312yes—
681#478C2314yes—
682#477C2312yes—
683#477C2312yes—
684#477C2314yes—
685#476C2312yes—
686#476C2312yes—
687#476C2314yes—
688#475C2314yes—
689#474C2314yes—
690#470C2314yes—
691#470C2312yes—
692#470C2312yes—
693#469C2312yes—
694#469C2314yes—
695#469C2312yes—
696#469C2314yes—
697#469C2314yes—
698#468C2314yes—
699#468C2312yes—
700#468C2314yes—
701#468C2312yes—
702#468C2312yes—
703#468C2312yes—
704#468C2314yes—
705#468C2314yes—
706#467C2314yes—
707#466C2314yes—
708#466C2314yes—
709#466C2314yes—
710#466C2314yes—
711#466C2314yes—
712#465C2314yes—
713#465C2314yes—
714#465C2314yes—
715#465C2314yes—
716#465C2314yes—
717#465C2314yes—
718#464C2312yes—
719#464C2314yes—
720#464C2312yes—
721#464C2312yes—
722#464C2312yes—
723#464C2314yes—
724#464C2314yes—
725#464C2314yes—
726#463C2312yes—
727#463C2314yes—
728#463C2312yes—
729#463C2314yes—
730#463C2314yes—
731#463C2314yes—
732#463C2314yes—
733#463C2314yes—
734#463C2312yes—
735#463C2312yes—
736#463C2314yes—
737#463C2314yes—
738#463C2314yes—
739#463C2314yes—
740#463C2314yes—
741#463C2314yes—
742#463C2314yes—
743#463C2314yes—
744#462C2312yes—
745#462C2312yes—
746#462C2314yes—
747#462C2314yes—
748#461C2312yes—
749#461C2314yes—
750#461C2312yes—
751#461C2314yes—
752#461C2314yes—
753#461C2314yes—
754#461C2314yes—
755#461C2314yes—
756#460C2312yes—
757#460C2312yes—
758#460C2314yes—
759#460C2312yes—
760#460C2312yes—
761#460C2314yes—
762#460C2314yes—
763#460C2314yes—
764#459C2314yes—
765#459C2312yes—
766#459C2314yes—
767#459C2312yes—
768#459C2314yes—
769#459C2312yes—
770#459C2312yes—
771#459C2314yes—
772#459C2314yes—
773#459C2314yes—
774#459C2314yes—
775#459C2314yes—
776#452C2314yes—
777#452C2314yes—
778#452C2314yes—
779#452C2312yes—
780#452C2312yes—
781#452C2314yes—
782#452C2314yes—
783#452C2314yes—
784#452C2314yes—
785#452C2314yes—
786#451C2312yes—
787#451C2314yes—
788#450C2314yes—
789#450C2312yes—
790#450C2314yes—
791#450C2314yes—
792#450C2314yes—
793#449C2314yes—
794#449C2314yes—
795#449C2314yes—
796#449C2314yes—
797#449C2314yes—
798#449C2312yes—
799#449C2312yes—
800#449C2314yes—
801#449C2314yes—
802#449C2314yes—
803#449C2314yes—
804#449C2314yes—
805#449C2314yes—
806#449C2314yes—
807#449C2314yes—
808#449C2314yes—
809#449C2314yes—
810#449C2314yes—
811#449C2314yes—
812#449C2314yes—
813#448C2314yes—
814#448C2312yes—
815#448C2314yes—
816#448C2314yes—
817#448C2314yes—
818#448C2314yes—
819#447C2314yes—
820#447C2312yes—
821#447C2314yes—
822#447C2314yes—
823#447C2314yes—
824#447C2314yes—
825#447C2314yes—
826#447C2314yes—
827#447C2314yes—
828#446C2312yes—
829#446C2312yes—
830#446C2312yes—
831#446C2312yes—
832C8×Q8C2312yes—
833C8×Q8C2312yes—
834C8×Q8C2312yes—
835C8×Q8C2312yes—
836#442C2314yes—
837#442C2314yes—
838#442C2314yes—
839#441C2314yes—
840#440C2314yes—
841#440C2314yes—
842#440C2314yes—
843#440C2314yes—
844C4×Q16C2312yes—
845C4×Q16C2314yes—
846C4×Q16C2312yes—
847C4×SD16C2312yes—
848C4×SD16C2312yes—
849C4×SD16C2314yes—
850C4×SD16C2312yes—
851C4×SD16C2314yes—
852C4×SD16C2314yes—
853C4×SD16C2312yes—
854C4×SD16C2314yes—
855C4×SD16C2314yes—
856C4×SD16C2314yes—
857C4×D8C2314yes—
858C4×D8C2312yes—
859C4×D8C2314yes—
860C4×D8C2312yes—
861C4×D8C2314yes—
862C4×D8C2314yes—
863C4×D8C2314yes—
864#436C2312yes—
865#436C2314yes—
866#436C2312yes—
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#431C2312yes—
893#431C2311yescharacteristic
894#431C2311yescharacteristic
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—
926H(5,𝔽2)—88no—
927C2×#41—22no—
928C2×#41—22no—
929C2×#41—24no—
930C2×#41—24no—
931C2×#41—21no—
932C2×#41—21no—
933C2×#41—24no—
934C2×#41—22no—
935C2×#41—22no—
936C2×#41—22no—
937C2×#41—22no—
938C2×#41—22no—
939C2×#41—22no—
940C2×#41—24no—
941C2×#41—24no—
942C2×#41—84no—
943C2×#41—82no—
944C2×#41—84no—
945C2×#41—82no—
946C2×#41—84no—
947C2×#41C2412yes—
948C2×#41C2414yes—
949C2×#41C2414yes—
950C2×#41C2414yes—
951C2×#41C2414yes—
952C2×#41C2414yes—
953C22×Q8—21no—
954C22×Q8C2×D411yescharacteristic
955C22×Q8C2411yescharacteristic
956C22×Q8C2412yes—
957C22×Q8C2414yes—
958C22×D4—21no—
959C22×D4—22no—
960C22×D4—22no—
961C22×D4—24no—
962C22×D4—24no—
963C22×D4—24no—
964C22×D4—22no—
965C22×D4—22no—
966C22×D4—24no—
967C22×D4—24no—
968C22×D4—21no—
969C22×D4—21no—
970C22×D4—21no—
971C22×D4—21no—
972C22×D4C2×D412yes—
973C22×D4C2×D411yescharacteristic
974C22×D4C2411yescharacteristic
975C22×D4C2412yes—
976C22×D4C2414yes—
977C22×D4C2412yes—
978C22×D4C2414yes—
979C23×C4—21no—
980C23×C4—22no—
981C23×C4—24no—
982C23×C4—22no—
983C23×C4C2×D411yescharacteristic
984C23×C4C2×D411yescharacteristic
985C23×C4C2412yes—
986C23×C4C2411yescharacteristic
987#137—84no—
988AGL(1,ℤ/8)—84no—
989AGL(1,ℤ/8)—84no—
990AGL(1,ℤ/8)—84no—
991AGL(1,ℤ/8)—84no—
992AGL(1,ℤ/8)—84no—
993#135—84no—
994#135—84no—
995C2×Q16—82no—
996C2×Q16C2414yes—
997C2×Q16C2414yes—
998C2×Q16C2412yes—
999C2×Q16C2412yes—
1000C2×SD16—82no—
1001C2×SD16—82no—
1002C2×SD16—84no—
1003C2×SD16C2414yes—
1004C2×SD16C2412yes—
1005C2×SD16C2414yes—
1006C2×SD16C2414yes—
1007C2×SD16C2414yes—
1008C2×SD16C2414yes—
1009C2×SD16C2414yes—
1010C2×SD16C2412yes—
1011C2×SD16C2414yes—
1012C2×SD16C2412yes—
1013C2×SD16C2414yes—
1014C2×SD16C2412yes—
1015C2×SD16C2414yes—
1016C2×SD16C2414yes—
1017C2×D8—82no—
1018C2×D8—84no—
1019C2×D8C2414yes—
1020C2×D8C2412yes—
1021C2×D8C2414yes—
1022C2×D8C2414yes—
1023C2×D8C2414yes—
1024C2×D8C2414yes—
1025C2×D8C2412yes—
1026C2×D8C2414yes—
1027C2×D8C2414yes—
1028C2×D8C2414yes—
1029C2×M16C2412yes—
1030C2×M16C2412yes—
1031C2×M16C2414yes—
1032C2×M16C2414yes—
1033C22×C8C2412yes—
1034C22×C8C2414yes—
1035C22×C8C2412yes—
1036C22×C8C2414yes—
1037C4⋊Q8—22no—
1038C4⋊Q8—22no—
1039C4⋊Q8—24no—
1040C4⋊Q8—24no—
1041C4⋊Q8—24no—
1042C4⋊Q8—21no—
1043C4⋊Q8—21no—
1044C4⋊Q8—21no—
1045C4⋊Q8—21no—
1046C4⋊Q8C2412yes—
1047C4⋊Q8C2412yes—
1048C4⋊Q8C2411yescharacteristic
1049C4⋊Q8C2414yes—
1050C4⋊Q8C2412yes—
1051C4⋊Q8C2412yes—
1052C4⋊Q8C2411yescharacteristic
1053C4⋊Q8C2411yescharacteristic
1054C4⋊Q8C2414yes—
1055#127—22no—
1056#127—22no—
1057#127—24no—
1058#127—21no—
1059#127—21no—
1060#127—21no—
1061#127—21no—
1062#127C2412yes—
1063#127C2412yes—
1064#127C2412yes—
1065#127C2412yes—
1066#127C2411yescharacteristic
1067#127C2414yes—
1068#127C2414yes—
1069#126—24no—
1070#126—24no—
1071#126—24no—
1072#126—24no—
1073#126—24no—
1074#126—24no—
1075#126—24no—
1076#126—24no—
1077#126—24no—
1078#126—24no—
1079#126—24no—
1080#126—24no—
1081#126—22no—
1082#126—22no—
1083#126—22no—
1084#126—22no—
1085#126—22no—
1086#126—22no—
1087#126—24no—
1088#126C2×D414yes—
1089#126C2×D414yes—
1090#126C2×D414yes—
1091#126C2×D414yes—
1092#125—24no—
1093#125—24no—
1094#125—24no—
1095#125—22no—
1096#125—22no—
1097#125—24no—
1098#125—24no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—21no—
1103#125C2×D412yes—
1104#125C2×D412yes—
1105#125C2×D412yes—
1106#125C2×D412yes—
1107#125C2412yes—
1108#125C2412yes—
1109#125C2412yes—
1110#125C2414yes—
1111#124—22no—
1112#124—22no—
1113#124—24no—
1114#124—24no—
1115#124—24no—
1116#124—24no—
1117#124—24no—
1118#124—24no—
1119#124—24no—
1120#124—24no—
1121#124—24no—
1122#124—24no—
1123#124—24no—
1124#124—22no—
1125#124—22no—
1126#124—22no—
1127#124—22no—
1128#124—21no—
1129#124—21no—
1130#124—22no—
1131#124—22no—
1132#124—21no—
1133#124—21no—
1134#124—24no—
1135#124C2×D412yes—
1136#124C2×D412yes—
1137#124C2×D412yes—
1138#124C2×D412yes—
1139#124C2412yes—
1140#124C2412yes—
1141#124C2414yes—
1142#124C2414yes—
1143#124C2412yes—
1144#124C2414yes—
1145#124C2414yes—
1146#124C2414yes—
1147#123—24no—
1148#123—22no—
1149#123—22no—
1150#123—22no—
1151#123—22no—
1152#123—22no—
1153#123—22no—
1154#123—22no—
1155#123—24no—
1156#123—24no—
1157#123—24no—
1158#123—24no—
1159#123—24no—
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#123—24no—
1189#123—24no—
1190#123—24no—
1191#123—24no—
1192#123C2×D414yes—
1193#123C2×D414yes—
1194#123C2×D414yes—
1195#123C2×D414yes—
1196C22⋊Q8—22no—
1197C22⋊Q8—22no—
1198C22⋊Q8—24no—
1199C22⋊Q8—24no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
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⋊Q8—24no—
1218C22⋊Q8—24no—
1219C22⋊Q8—24no—
1220C22⋊Q8—24no—
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⋊Q8C2×D412yes—
1230C22⋊Q8C2×D412yes—
1231C22⋊Q8C2×D412yes—
1232C22⋊Q8C2×D412yes—
1233C22⋊Q8C2412yes—
1234C22⋊Q8C2412yes—
1235C22⋊Q8C2412yes—
1236C22⋊Q8C2412yes—
1237C22⋊Q8C2414yes—
1238C22⋊Q8C2414yes—
1239C22⋊Q8C2414yes—
1240#121—24no—
1241#121—22no—
1242#121—24no—
1243#121—24no—
1244#121—24no—
1245#121—24no—
1246#121—22no—
1247#121—24no—
1248#121—24no—
1249#121—22no—
1250#121—22no—
1251#121—22no—
1252#121—22no—
1253#121—22no—
1254#121—22no—
1255#121—22no—
1256#121—22no—
1257#121—22no—
1258#121—22no—
1259#121—22no—
1260#121—22no—
1261#121—21no—
1262#121—21no—
1263#121—22no—
1264#121—22no—
1265#121—24no—
1266#121—24no—
1267#121—21no—
1268#121—21no—
1269#121—21no—
1270#121—21no—
1271#121—24no—
1272#121—24no—
1273#121—24no—
1274#121—22no—
1275#121—24no—
1276#121—24no—
1277#121—24no—
1278#121—24no—
1279#121—22no—
1280#121—24no—
1281#121—22no—
1282#121—22no—
1283#121—24no—
1284#121—24no—
1285#121—24no—
1286#121—24no—
1287#121—24no—
1288#121—24no—
1289#121—24no—
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#121—24no—
1301#121—24no—
1302#121—24no—
1303#121—24no—
1304#121C2×D412yes—
1305#121C2×D412yes—
1306#121C2×D412yes—
1307#121C2×D412yes—
1308#121C2412yes—
1309#121C2414yes—
1310#121C2412yes—
1311#121C2414yes—
1312#121C2414yes—
1313#121C2414yes—
1314#121C2412yes—
1315#121C2412yes—
1316#121C2414yes—
1317#121C2414yes—
1318#121C2414yes—
1319#120—22no—
1320#120—24no—
1321#120—24no—
1322#120—24no—
1323#120—24no—
1324#120—24no—
1325#120—24no—
1326#120—24no—
1327#120—24no—
1328#120—24no—
1329#120—24no—
1330#120—24no—
1331#120—24no—
1332#120—24no—
1333#120—24no—
1334#120—24no—
1335#120—24no—
1336#120—24no—
1337#120—24no—
1338#120—24no—
1339#120—24no—
1340#120—24no—
1341C4×Q8—22no—
1342C4×Q8—22no—
1343C4×Q8—21no—
1344C4×Q8—21no—
1345C4×Q8—21no—
1346C4×Q8—21no—
1347C4×Q8—21no—
1348C4×Q8—21no—
1349C4×Q8C2×D412yes—
1350C4×Q8C2×D412yes—
1351C4×Q8C2412yes—
1352C4×Q8C2412yes—
1353C4×Q8C2412yes—
1354C4×Q8C2412yes—
1355C4×Q8C2414yes—
1356C4×Q8C2414yes—
1357C4×Q8C2414yes—
1358C4×Q8C2412yes—
1359C4×Q8C2412yes—
1360C4×D4—24no—
1361C4×D4—22no—
1362C4×D4—22no—
1363C4×D4—22no—
1364C4×D4—24no—
1365C4×D4—24no—
1366C4×D4—22no—
1367C4×D4—22no—
1368C4×D4—22no—
1369C4×D4—22no—
1370C4×D4—22no—
1371C4×D4—22no—
1372C4×D4—22no—
1373C4×D4—22no—
1374C4×D4—22no—
1375C4×D4—24no—
1376C4×D4—24no—
1377C4×D4—24no—
1378C4×D4—24no—
1379C4×D4—24no—
1380C4×D4—24no—
1381C4×D4—22no—
1382C4×D4—24no—
1383C4×D4—22no—
1384C4×D4—22no—
1385C4×D4—24no—
1386C4×D4—24no—
1387C4×D4—24no—
1388C4×D4—22no—
1389C4×D4—24no—
1390C4×D4—24no—
1391C4×D4—24no—
1392C4×D4—24no—
1393C4×D4—24no—
1394C4×D4—24no—
1395C4×D4—24no—
1396C4×D4—24no—
1397C4×D4—22no—
1398C4×D4—22no—
1399C4×D4—24no—
1400C4×D4—22no—
1401C4×D4—22no—
1402C4×D4—22no—
1403C4×D4—22no—
1404C4×D4—22no—
1405C4×D4—22no—
1406C4×D4—22no—
1407C4×D4—22no—
1408C4×D4—22no—
1409C4×D4—22no—
1410C4×D4—21no—
1411C4×D4—21no—
1412C4×D4—22no—
1413C4×D4—22no—
1414C4×D4—24no—
1415C4×D4—21no—
1416C4×D4—21no—
1417C4×D4—21no—
1418C4×D4—21no—
1419C4×D4—24no—
1420C4×D4C2×D412yes—
1421C4×D4C2×D414yes—
1422C4×D4C2×D412yes—
1423C4×D4C2×D414yes—
1424C4×D4C2412yes—
1425C4×D4C2414yes—
1426C4×D4C2412yes—
1427C4×D4C2414yes—
1428C4×D4C2412yes—
1429C4×D4C2412yes—
1430C4×D4C2414yes—
1431C4×D4C2414yes—
1432C4×D4C2414yes—
1433C4×D4C2414yes—
1434C4×D4C2414yes—
1435C4×D4C2414yes—
1436C4×D4C2412yes—
1437C4×D4C2414yes—
1438C4×D4C2412yes—
1439#117—21no—
1440#117—21no—
1441#117—22no—
1442#117—24no—
1443#117—22no—
1444#117—24no—
1445#117—24no—
1446#117—22no—
1447#117—22no—
1448#117—22no—
1449#117—22no—
1450#117—22no—
1451#117—22no—
1452#117—24no—
1453#117—22no—
1454#117—24no—
1455#117C2×D414yes—
1456#117C2×D414yes—
1457#117C2412yes—
1458#117C2414yes—
1459#117C2414yes—
1460#117C2414yes—
1461C2×C4⋊C4—21no—
1462C2×C4⋊C4—21no—
1463C2×C4⋊C4—21no—
1464C2×C4⋊C4—21no—
1465C2×C4⋊C4—21no—
1466C2×C4⋊C4—21no—
1467C2×C4⋊C4—21no—
1468C2×C4⋊C4—22no—
1469C2×C4⋊C4—24no—
1470C2×C4⋊C4—22no—
1471C2×C4⋊C4—24no—
1472C2×C4⋊C4—24no—
1473C2×C4⋊C4C2×D412yes—
1474C2×C4⋊C4C2×D412yes—
1475C2×C4⋊C4C2×D411yescharacteristic
1476C2×C4⋊C4C2×D412yes—
1477C2×C4⋊C4C2×D411yescharacteristic
1478C2×C4⋊C4C2×D412yes—
1479C2×C4⋊C4C2412yes—
1480C2×C4⋊C4C2411yescharacteristic
1481C2×C4⋊C4C2411yescharacteristic
1482C2×C4⋊C4C2414yes—
1483C2×C22⋊C4—21no—
1484C2×C22⋊C4—21no—
1485C2×C22⋊C4—21no—
1486C2×C22⋊C4—22no—
1487C2×C22⋊C4—22no—
1488C2×C22⋊C4—22no—
1489C2×C22⋊C4—21no—
1490C2×C22⋊C4—22no—
1491C2×C22⋊C4—21no—
1492C2×C22⋊C4—24no—
1493C2×C22⋊C4—24no—
1494C2×C22⋊C4—24no—
1495C2×C22⋊C4—24no—
1496C2×C22⋊C4—24no—
1497C2×C22⋊C4—24no—
1498C2×C22⋊C4—24no—
1499C2×C22⋊C4—24no—
1500C2×C22⋊C4C2×D412yes—
1501C2×C22⋊C4C2×D412yes—
1502C2×C22⋊C4C2×D412yes—
1503C2×C22⋊C4C2×D412yes—
1504C2×C22⋊C4C2×D412yes—
1505C2×C42—21no—
1506C2×C42—22no—
1507C2×C42—24no—
1508C2×C42C2×D411yescharacteristic
1509C2×C42C2×D411yescharacteristic
1510C2×C42C2×D411yescharacteristic
1511C2×C42C2×D411yescharacteristic
1512C2×C42C2×D411yescharacteristic
1513C2×C42C2×D411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2412yes—
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2411yescharacteristic
1520C2×C42C2411yescharacteristic
1521#107C2412yes—
1522#107C2414yes—
1523#107C2412yes—
1524#107C2412yes—
1525#107C2414yes—
1526#107C2412yes—
1527#106C2414yes—
1528#106C2412yes—
1529#106C2412yes—
1530#106C2414yes—
1531#106C2412yes—
1532#106C2412yes—
1533C4⋊C8C2412yes—
1534C4⋊C8C2412yes—
1535C4⋊C8C2411yescharacteristic
1536C4⋊C8C2411yescharacteristic
1537C4⋊C8C2411yescharacteristic
1538C4⋊C8C2411yescharacteristic
1539C4⋊C8C2412yes—
1540C4⋊C8C2412yes—
1541C4⋊C8C2411yescharacteristic
1542C4⋊C8C2411yescharacteristic
1543C4⋊C8C2411yescharacteristic
1544C4⋊C8C2411yescharacteristic
1545C4⋊C8C2414yes—
1546C4⋊C8C2414yes—
1547C4⋊C8C2414yes—
1548C4⋊C8C2414yes—
1549#103C2414yes—
1550#103C2412yes—
1551#103C2414yes—
1552#103C2414yes—
1553#103C2414yes—
1554#103C2414yes—
1555#103C2414yes—
1556#103C2412yes—
1557#103C2414yes—
1558#103C2414yes—
1559#103C2412yes—
1560#103C2414yes—
1561#103C2414yes—
1562#103C2412yes—
1563#103C2412yes—
1564#103C2412yes—
1565#103C2412yes—
1566#103C2412yes—
1567#102C2414yes—
1568#102C2412yes—
1569#102C2414yes—
1570#102C2414yes—
1571#102C2414yes—
1572#102C2414yes—
1573#102C2414yes—
1574#102C2412yes—
1575#102C2414yes—
1576#102C2414yes—
1577#102C2412yes—
1578#102C2414yes—
1579#102C2414yes—
1580#102C2412yes—
1581#102C2412yes—
1582#102C2414yes—
1583#102C2414yes—
1584#102C2412yes—
1585#102C2414yes—
1586#102C2412yes—
1587#102C2412yes—
1588#102C2414yes—
1589C22⋊C8C2412yes—
1590C22⋊C8C2412yes—
1591C22⋊C8C2412yes—
1592C22⋊C8C2412yes—
1593C22⋊C8C2412yes—
1594C22⋊C8C2414yes—
1595C22⋊C8C2414yes—
1596C22⋊C8C2412yes—
1597C22⋊C8C2412yes—
1598C22⋊C8C2412yes—
1599C22⋊C8C2414yes—
1600C22⋊C8C2414yes—
1601#97C2412yes—
1602#97C2412yes—
1603#97C2414yes—
1604#97C2414yes—
1605C4×C8C2412yes—
1606C4×C8C2412yes—
1607C4×C8C2412yes—
1608C4×C8C2412yes—
1609C4×C8C2412yes—
1610C4×C8C2412yes—
1611C4×C8C2414yes—
1612C4×C8C2414yes—
1613C24—21no—
1614C24—22no—
1615C24—22no—
1616C24—24no—
1617C24—24no—
1618C24C22×D411yescharacteristic
1619C24C22×D412yes—
1620#41—44no—
1621#41—42no—
1622#41—42no—
1623#41—44no—
1624#41—44no—
1625#41—44no—
1626#41—44no—
1627#41—44no—
1628#41—44no—
1629#41—44no—
1630#41—44no—
1631#41—44no—
1632#41—82no—
1633#41—82no—
1634#41—84no—
1635#41—84no—
1636#41—88no—
1637#41—84no—
1638#41—88no—
1639#41—84no—
1640#41—88no—
1641#41—84no—
1642#41—84no—
1643#41—88no—
1644#41—88no—
1645#41—84no—
1646#41—84no—
1647C2×Q8—21no—
1648C2×Q8—21no—
1649C2×Q8—21no—
1650C2×Q8—24no—
1651C2×Q8—24no—
1652C2×Q8—22no—
1653C2×Q8—22no—
1654C2×Q8—22no—
1655C2×Q8—42no—
1656C2×Q8—41no—
1657C2×Q8—42no—
1658C2×Q8—44no—
1659C2×Q8—41no—
1660C2×Q8—42no—
1661C2×Q8—44no—
1662C2×Q8—82no—
1663C2×Q8C22×D412yes—
1664C2×Q8C22×D412yes—
1665C2×Q8C2514yes—
1666C2×Q8C2512yes—
1667C2×Q8C2512yes—
1668C2×D4—22no—
1669C2×D4—22no—
1670C2×D4—22no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—24no—
1674C2×D4—22no—
1675C2×D4—24no—
1676C2×D4—24no—
1677C2×D4—24no—
1678C2×D4—24no—
1679C2×D4—22no—
1680C2×D4—24no—
1681C2×D4—24no—
1682C2×D4—24no—
1683C2×D4—24no—
1684C2×D4—24no—
1685C2×D4—22no—
1686C2×D4—22no—
1687C2×D4—24no—
1688C2×D4—21no—
1689C2×D4—24no—
1690C2×D4—21no—
1691C2×D4—21no—
1692C2×D4—24no—
1693C2×D4—22no—
1694C2×D4—22no—
1695C2×D4—24no—
1696C2×D4—22no—
1697C2×D4—22no—
1698C2×D4—22no—
1699C2×D4—24no—
1700C2×D4—22no—
1701C2×D4—22no—
1702C2×D4—22no—
1703C2×D4—24no—
1704C2×D4—42no—
1705C2×D4—41no—
1706C2×D4—44no—
1707C2×D4—42no—
1708C2×D4—44no—
1709C2×D4—41no—
1710C2×D4—44no—
1711C2×D4—42no—
1712C2×D4—42no—
1713C2×D4—42no—
1714C2×D4—44no—
1715C2×D4—44no—
1716C2×D4—48no—
1717C2×D4—44no—
1718C2×D4—82no—
1719C2×D4—82no—
1720C2×D4—82no—
1721C2×D4—84no—
1722C2×D4—84no—
1723C2×D4—82no—
1724C2×D4—88no—
1725C2×D4—88no—
1726C2×D4—84no—
1727C2×D4—88no—
1728C2×D4—88no—
1729C2×D4—88no—
1730C2×D4C22×D412yes—
1731C2×D4C22×D414yes—
1732C2×D4C22×D412yes—
1733C2×D4C22×D414yes—
1734C2×D4C2514yes—
1735C2×D4C2512yes—
1736C2×D4C2512yes—
1737C2×D4C2514yes—
1738C22×C4—21no—
1739C22×C4—22no—
1740C22×C4—21no—
1741C22×C4—21no—
1742C22×C4—22no—
1743C22×C4—24no—
1744C22×C4—24no—
1745C22×C4—22no—
1746C22×C4—22no—
1747C22×C4—24no—
1748C22×C4—22no—
1749C22×C4—22no—
1750C22×C4—24no—
1751C22×C4—24no—
1752C22×C4—24no—
1753C22×C4—24no—
1754C22×C4—22no—
1755C22×C4—24no—
1756C22×C4—24no—
1757C22×C4—24no—
1758C22×C4—24no—
1759C22×C4—24no—
1760C22×C4—24no—
1761C22×C4—24no—
1762C22×C4—42no—
1763C22×C4—41no—
1764C22×C4—41no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—82no—
1769C22×C4—84no—
1770C22×C4—88no—
1771C22×C4—84no—
1772C22×C4C22×D411yescharacteristic
1773C22×C4C22×D411yescharacteristic
1774C22×C4C22×D411yescharacteristic
1775C22×C4C22×D411yescharacteristic
1776C22×C4C22×D411yescharacteristic
1777C22×C4C22×D411yescharacteristic
1778C22×C4C22×D411yescharacteristic
1779C22×C4C22×D411yescharacteristic
1780C22×C4C22×D411yescharacteristic
1781C22×C4C22×D411yescharacteristic
1782C22×C4C22×D411yescharacteristic
1783C22×C4C22×D411yescharacteristic
1784C22×C4C22×D411yescharacteristic
1785C22×C4C22×D411yescharacteristic
1786C22×C4C22×D411yescharacteristic
1787C22×C4C22×D412yes—
1788C22×C4C22×D412yes—
1789C22×C4C22×D414yes—
1790C22×C4C22×D412yes—
1791C22×C4C2511yescharacteristic
1792C22×C4C2511yescharacteristic
1793C22×C4C2511yescharacteristic
1794C22×C4C2514yes—
1795Q16—44no—
1796Q16—44no—
1797Q16—42no—
1798Q16—42no—
1799SD16—44no—
1800SD16—42no—
1801SD16—44no—
1802SD16—44no—
1803SD16—44no—
1804SD16—44no—
1805SD16—44no—
1806SD16—42no—
1807SD16—44no—
1808SD16—44no—
1809SD16—42no—
1810SD16—42no—
1811SD16—44no—
1812SD16—44no—
1813D8—44no—
1814D8—42no—
1815D8—44no—
1816D8—44no—
1817D8—44no—
1818D8—44no—
1819D8—44no—
1820D8—44no—
1821D8—42no—
1822D8—44no—
1823M16—42no—
1824M16—42no—
1825M16—44no—
1826M16—44no—
1827C2×C8—42no—
1828C2×C8—44no—
1829C2×C8—42no—
1830C2×C8—44no—
1831C2×C8C2512yes—
1832C2×C8C2512yes—
1833C2×C8C2512yes—
1834C2×C8C2512yes—
1835C2×C8C2512yes—
1836C2×C8C2512yes—
1837C2×C8C2512yes—
1838C2×C8C2512yes—
1839C4⋊C4—22no—
1840C4⋊C4—22no—
1841C4⋊C4—22no—
1842C4⋊C4—22no—
1843C4⋊C4—22no—
1844C4⋊C4—24no—
1845C4⋊C4—24no—
1846C4⋊C4—22no—
1847C4⋊C4—22no—
1848C4⋊C4—22no—
1849C4⋊C4—22no—
1850C4⋊C4—22no—
1851C4⋊C4—22no—
1852C4⋊C4—24no—
1853C4⋊C4—22no—
1854C4⋊C4—22no—
1855C4⋊C4—22no—
1856C4⋊C4—24no—
1857C4⋊C4—24no—
1858C4⋊C4—24no—
1859C4⋊C4—24no—
1860C4⋊C4—22no—
1861C4⋊C4—22no—
1862C4⋊C4—21no—
1863C4⋊C4—21no—
1864C4⋊C4—24no—
1865C4⋊C4—24no—
1866C4⋊C4—22no—
1867C4⋊C4—22no—
1868C4⋊C4—22no—
1869C4⋊C4—24no—
1870C4⋊C4—21no—
1871C4⋊C4—21no—
1872C4⋊C4—21no—
1873C4⋊C4—21no—
1874C4⋊C4—24no—
1875C4⋊C4—22no—
1876C4⋊C4—24no—
1877C4⋊C4—22no—
1878C4⋊C4C22×D412yes—
1879C4⋊C4C22×D412yes—
1880C4⋊C4C22×D414yes—
1881C4⋊C4C22×D414yes—
1882C4⋊C4C22×D414yes—
1883C4⋊C4C22×D414yes—
1884C4⋊C4C22×D414yes—
1885C4⋊C4C22×D414yes—
1886C4⋊C4C22×D414yes—
1887C4⋊C4C22×D412yes—
1888C4⋊C4C22×D414yes—
1889C4⋊C4C22×D412yes—
1890C4⋊C4C2512yes—
1891C4⋊C4C2514yes—
1892C4⋊C4C2512yes—
1893C4⋊C4C2512yes—
1894C4⋊C4C2512yes—
1895C22⋊C4—22no—
1896C22⋊C4—22no—
1897C22⋊C4—24no—
1898C22⋊C4—22no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—22no—
1903C22⋊C4—22no—
1904C22⋊C4—22no—
1905C22⋊C4—22no—
1906C22⋊C4—22no—
1907C22⋊C4—24no—
1908C22⋊C4—22no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—22no—
1913C22⋊C4—22no—
1914C22⋊C4—22no—
1915C22⋊C4—22no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—22no—
1928C22⋊C4—24no—
1929C22⋊C4—24no—
1930C22⋊C4—24no—
1931C22⋊C4—22no—
1932C22⋊C4—24no—
1933C22⋊C4—24no—
1934C22⋊C4—22no—
1935C22⋊C4—22no—
1936C22⋊C4—24no—
1937C22⋊C4—24no—
1938C22⋊C4—22no—
1939C22⋊C4—24no—
1940C22⋊C4—24no—
1941C22⋊C4—22no—
1942C22⋊C4C22×D414yes—
1943C22⋊C4C22×D414yes—
1944C22⋊C4C22×D414yes—
1945C22⋊C4C22×D414yes—
1946C22⋊C4C22×D414yes—
1947C22⋊C4C22×D414yes—
1948C22⋊C4C22×D414yes—
1949C22⋊C4C22×D414yes—
1950C22⋊C4C22×D414yes—
1951C22⋊C4C22×D414yes—
1952C42—22no—
1953C42—22no—
1954C42—22no—
1955C42—22no—
1956C42—22no—
1957C42—24no—
1958C42—24no—
1959C42—24no—
1960C42—24no—
1961C42C22×D411yescharacteristic
1962C42C22×D414yes—
1963C42C22×D411yescharacteristic
1964C42C22×D411yescharacteristic
1965C42C22×D411yescharacteristic
1966C42C22×D411yescharacteristic
1967C42C22×D411yescharacteristic
1968C42C22×D411yescharacteristic
1969C42C22×D411yescharacteristic
1970C42C22×D411yescharacteristic
1971C42C22×D411yescharacteristic
1972C42C22×D411yescharacteristic
1973C42C22×D411yescharacteristic
1974C42C2511yescharacteristic
1975C42C2511yescharacteristic
1976C42C2511yescharacteristic
1977C42C2514yes—
1978C42C2511yescharacteristic
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23—24no—
1983C23—24no—
1984C23—41no—
1985C23—41no—
1986C23—42no—
1987C23—42no—
1988C23—42no—
1989C23—44no—
1990C23—42no—
1991C23—44no—
1992C23—82no—
1993C23—84no—
1994C23—81no—
1995C23—81no—
1996C23—82no—
1997C23—82no—
1998C23—82no—
1999C23—84no—
2000C23—84no—
2001C23—84no—
2002C23—84no—
2003C23—84no—
2004C23C23×D414yes—
2005C23C23×D411yescharacteristic
2006C23C23×D411yescharacteristic
2007C23C23×D411yescharacteristic
2008Q8—24no—
2009Q8—22no—
2010Q8—24no—
2011Q8—22no—
2012Q8—22no—
2013Q8—24no—
2014Q8—22no—
2015Q8—42no—
2016Q8—81no—
2017Q8—84no—
2018Q8—82no—
2019Q8—82no—
2020Q8—82no—
2021Q8—81no—
2022Q8—81no—
2023Q8—84no—
2024D4—28no—
2025D4—24no—
2026D4—22no—
2027D4—24no—
2028D4—24no—
2029D4—24no—
2030D4—22no—
2031D4—22no—
2032D4—24no—
2033D4—22no—
2034D4—44no—
2035D4—42no—
2036D4—44no—
2037D4—44no—
2038D4—48no—
2039D4—48no—
2040D4—44no—
2041D4—48no—
2042D4—44no—
2043D4—44no—
2044D4—44no—
2045D4—82no—
2046D4—84no—
2047D4—81no—
2048D4—84no—
2049D4—82no—
2050D4—82no—
2051D4—82no—
2052D4—82no—
2053D4—82no—
2054D4—84no—
2055D4—84no—
2056D4—82no—
2057D4—82no—
2058D4—81no—
2059D4—84no—
2060D4—84no—
2061D4—81no—
2062D4—84no—
2063D4—84no—
2064D4—84no—
2065D4—84no—
2066D4—84no—
2067D4—84no—
2068D4—84no—
2069D4—84no—
2070D4—84no—
2071D4—82no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—24no—
2080C2×C4—24no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—24no—
2091C2×C4—24no—
2092C2×C4—22no—
2093C2×C4—41no—
2094C2×C4—41no—
2095C2×C4—44no—
2096C2×C4—41no—
2097C2×C4—41no—
2098C2×C4—41no—
2099C2×C4—41no—
2100C2×C4—41no—
2101C2×C4—41no—
2102C2×C4—41no—
2103C2×C4—41no—
2104C2×C4—42no—
2105C2×C4—42no—
2106C2×C4—42no—
2107C2×C4—48no—
2108C2×C4—44no—
2109C2×C4—44no—
2110C2×C4—42no—
2111C2×C4—44no—
2112C2×C4—44no—
2113C2×C4—82no—
2114C2×C4—84no—
2115C2×C4—84no—
2116C2×C4—84no—
2117C2×C4—84no—
2118C2×C4—84no—
2119C2×C4—84no—
2120C2×C4—84no—
2121C2×C4—84no—
2122C2×C4—84no—
2123C2×C4—84no—
2124C2×C4—84no—
2125C2×C4—82no—
2126C2×C4—81no—
2127C2×C4—82no—
2128C2×C4—84no—
2129C2×C4—84no—
2130C2×C4—81no—
2131C2×C4C23×D411yescharacteristic
2132C2×C4C23×D411yescharacteristic
2133C2×C4C23×D411yescharacteristic
2134C2×C4C23×D414yes—
2135C2×C4C23×D414yes—
2136C2×C4C23×D414yes—
2137C2×C4C23×D411yescharacteristic
2138C2×C4C23×D411yescharacteristic
2139C2×C4C23×D411yescharacteristic
2140C2×C4C23×D411yescharacteristic
2141C2×C4C23×D411yescharacteristic
2142C2×C4C23×D411yescharacteristic
2143C2×C4C23×D411yescharacteristic
2144C2×C4C23×D411yescharacteristic
2145C2×C4C2611yescharacteristic
2146C8—22no—
2147C8—22no—
2148C8—22no—
2149C8—22no—
2150C8—22no—
2151C8—22no—
2152C8—22no—
2153C8—22no—
2154C22—21no—
2155C22—21no—
2156C22—21no—
2157C22—21no—
2158C22—24no—
2159C22—21no—
2160C22—21no—
2161C22—24no—
2162C22—21no—
2163C22—24no—
2164C22—21no—
2165C22—42no—
2166C22—42no—
2167C22—44no—
2168C22—44no—
2169C22—44no—
2170C22—42no—
2171C22—42no—
2172C22—44no—
2173C22—44no—
2174C22—42no—
2175C22—44no—
2176C22—42no—
2177C22—82no—
2178C22—164no—
2179C22—162no—
2180C22—162no—
2181C22—164no—
2182C22—168no—
2183C22—324no—
2184C22#358512yes—
2185C22C24×D411yescharacteristic
2186C4—21no—
2187C4—21no—
2188C4—21no—
2189C4—24no—
2190C4—21no—
2191C4—21no—
2192C4—21no—
2193C4—21no—
2194C4—24no—
2195C4—21no—
2196C4—21no—
2197C4—24no—
2198C4—21no—
2199C4—42no—
2200C4—42no—
2201C4—42no—
2202C4—44no—
2203C4—42no—
2204C4—44no—
2205C4—42no—
2206C4—42no—
2207C4#358412yes—
2208C4H(7,𝔽2)11yescharacteristic
2209C4H(7,𝔽2)11yescharacteristic
2210C2—22no—
2211C2—41no—
2212C2—41no—
2213C2—44no—
2214C2—82no—
2215C2—84no—
2216C2—84no—
2217C2—82no—
2218C2#6285211yescharacteristic
2219C2C2×#358411yescharacteristic
2220C2C2×#358511yescharacteristic
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. #62822C2semidirect
2. #62748C2semidirect
3. #62619C2semidirect
4. #62617C2semidirect
5. #62558C2semidirect
6. #62557C2semidirect
7. #62465C2semidirect
8. #62463C2semidirect
9. #62436C2semidirect
10. #62435C2semidirect
11. #62058C2semidirect
12. #62057C2semidirect
13. #62052C2semidirect
14. #62051C2semidirect
15. #62028C2semidirect
16. #62027C2semidirect
17. #61896C2semidirect
18. #61886C2semidirect
19. #61606C2semidirect
20. #61598C2semidirect
21. #61590C2semidirect
22. #61567C2semidirect
23. #60985C2semidirect
24. #60954C2semidirect
25. #60946C2semidirect
26. #60815C2semidirect
27. #60803C2semidirect
28. C2×#3212C2semidirect
29. #60290C2semidirect
30. #3562C22semidirect
31. #3561C22semidirect
37. #3559C22semidirect
40. #3558C22semidirect
41. #3558C22semidirect
42. #3554C22semidirect
43. #3552C22semidirect
44. #3546C22semidirect
46. #3544C22semidirect
47. #3543C22semidirect
48. #3543C22semidirect
53. #3522C22semidirect
54. #3522C22semidirect
55. #3519C22semidirect
56. #3519C22semidirect
58. #3513C22semidirect
60. #3505C22semidirect
62. #3496C22semidirect
64. #3494C22semidirect
67. #3480C22semidirect
68. D4×#41C22semidirect
69. D4×#41C22semidirect
72. #3455C22semidirect
73. #3449C22semidirect
74. #3444C22semidirect
75. C2×#532C22semidirect
76. C2×#532C22semidirect
78. C2×#529C22semidirect
79. #3403C22semidirect
80. #3401C22semidirect
81. #3400C22semidirect
82. #3399C22semidirect
83. #3399C22semidirect
84. #3397C22semidirect
85. #3396C22semidirect
86. #3396C22semidirect
87. #3394C22semidirect
88. #3394C22semidirect
89. #3392C22semidirect
90. #3391C22semidirect
91. #3376C22semidirect
92. #3375C22semidirect
93. #3372C22semidirect
94. #3370C22semidirect
95. #3369C22semidirect
96. #3366C22semidirect
97. #3363C22semidirect
98. #3362C22semidirect
99. #3361C22semidirect
100. #3361C22semidirect
101. #3360C22semidirect
102. #3360C22semidirect
103. #3333C22semidirect
104. #3332C22semidirect
105. #3331C22semidirect
106. #3330C22semidirect
107. #3329C22semidirect
108. #3327C22semidirect
109. #3326C22semidirect
110. #3325C22semidirect
111. #3323C22semidirect
112. #3322C22semidirect
113. #3320C22semidirect
114. #3318C22semidirect
115. #3317C22semidirect
116. #3315C22semidirect
117. #3308C22semidirect
118. #3308C22semidirect
119. #3306C22semidirect
120. #3306C22semidirect
121. #3305C22semidirect
122. #3303C22semidirect
123. #3301C22semidirect
124. #3301C22semidirect
125. #3299C22semidirect
126. #3298C22semidirect
127. #3297C22semidirect
128. #3297C22semidirect
129. #3295C22semidirect
130. #3294C22semidirect
131. #3287C22semidirect
132. #3285C22semidirect
133. #3284C22semidirect
134. #3282C22semidirect
135. #3282C22semidirect
136. D4×SD16C22semidirect
137. D4×SD16C22semidirect
138. #3280C22semidirect
139. D4×D8C22semidirect
140. D4×D8C22semidirect
141. #3278C22semidirect
142. #3275C22semidirect
143. #3275C22semidirect
144. #3274C22semidirect
145. #3274C22semidirect
146. #3274C22semidirect
147. #3273C22semidirect
148. #3273C22semidirect
149. #3272C22semidirect
150. #3272C22semidirect
151. #3270C22semidirect
152. #3268C22semidirect
153. #3267C22semidirect
154. #3265C22semidirect
155. #3265C22semidirect
156. #3265C22semidirect
157. #3264C22semidirect
158. #3264C22semidirect
159. #3260C22semidirect
160. #3259C22semidirect
161. #3258C22semidirect
162. #3257C22semidirect
163. #3256C22semidirect
164. #3256C22semidirect
165. #3247C22semidirect
166. #3247C22semidirect
167. #3244C22semidirect
168. #3243C22semidirect
169. #3240C22semidirect
170. #3236C22semidirect
171. #3234C22semidirect
172. #3230C22semidirect
173. #3228C22semidirect
174. #3227C22semidirect
175. #3225C22semidirect
176. #3225C22semidirect
177. #3224C22semidirect
178. #3224C22semidirect
179. #3224C22semidirect
180. #3224C22semidirect
181. #3221C22semidirect
182. #3221C22semidirect
183. #3220C22semidirect
184. #3220C22semidirect
185. #3219C22semidirect
186. #3219C22semidirect
187. #3215C22semidirect
188. #3214C22semidirect
189. #3214C22semidirect
190. #3213C22semidirect
191. #3213C22semidirect
192. #3213C22semidirect
193. #3212C22semidirect
194. #3212C22semidirect
195. #3212C22semidirect
196. #3212C22semidirect
197. #3212C22semidirect
198. #3212C22semidirect
199. #3212C22semidirect
200. #3208C22semidirect
201. #3207C22semidirect
202. #3207C22semidirect
203. #3207C22semidirect
204. #3207C22semidirect
205. #3206C22semidirect
206. #3205C22semidirect
207. #3205C22semidirect
208. #3197C22semidirect
209. #3196C22semidirect
210. #3194C22semidirect
211. #3194C22semidirect
212. #3191C22semidirect
213. #3188C22semidirect
214. #3188C22semidirect
215. #3179C22semidirect
216. #3179C22semidirect
217. #3175C22semidirect
218. #3173C22semidirect
219. #3172C22semidirect
220. #3171C22semidirect
221. #3169C22semidirect
222. #3167C22semidirect
223. #3155C22semidirect
224. #3154C22semidirect
225. #3151C22semidirect
226. C2×#495C22semidirect
227. #3141C22semidirect
228. #3137C22semidirect
229. #3136C22semidirect
230. C2×#488C22semidirect
231. #3123C22semidirect
232. #3122C22semidirect
233. #3120C22semidirect
234. #3119C22semidirect
235. #3115C22semidirect
236. #3111C22semidirect
237. #3108C22semidirect
238. #3106C22semidirect
239. #3106C22semidirect
240. #3106C22semidirect
241. #3105C22semidirect
242. #3105C22semidirect
243. #3102C22semidirect
244. #3102C22semidirect
245. #3102C22semidirect
246. #3046C22semidirect
247. #3045C22semidirect
248. #3042C22semidirect
249. #3041C22semidirect
250. #3036C22semidirect
251. #3036C22semidirect
252. C2×#462C22semidirect
253. C2×#460C22semidirect
254. C2×#461C22semidirect
255. C2×#459C22semidirect
256. #3006C22semidirect
257. #3006C22semidirect
258. #3005C22semidirect
259. #3002C22semidirect
260. C2×#452C22semidirect
261. C2×#449C22semidirect
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
#628222
#627482
#626192
#626172
#625582
#625572
#624652
#624632
#624362
#624352
#620582
#620572
#620522
#620512
#620282
#620272
#618962
#618862
#616062
#615982
#615902
#615672
#609852
#609542
#609462
#608152
#608032
C2×#32122
#602902