Finite Group Databasebeta

← #10583278

Subgroups — #10583278

Order 512.

6701 conjugacy classes of subgroups.

The subgroup lattice has 2489 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#63022C211yesmaximal, characteristic, complemented
2#63014C211yesmaximal, characteristic, complemented
3#62463C212yesmaximal, complemented
4#62440C212yesmaximal, complemented
5#62421C211yesmaximal, characteristic, complemented
6#62414C211yesmaximal, characteristic, complemented
7#62342C211yesmaximal, characteristic, complemented
8#62310C214yesmaximal, complemented
9#62304C212yesmaximal, complemented
10#62259C212yesmaximal, complemented
11#62074C212yesmaximal, complemented
12#62071C212yesmaximal, complemented
13#62045C212yesmaximal, complemented
14#62035C212yesmaximal, complemented
15#62001C211yesmaximal, characteristic, complemented
16#61998C211yesmaximal, characteristic, complemented
17#61988C211yesmaximal, characteristic, complemented
18#61987C211yesmaximal, characteristic, complemented
19#61667C211yesmaximal, characteristic, complemented
20#61661C211yesmaximal, characteristic, complemented
21#61625C214yesmaximal, complemented
22#61616C214yesmaximal, complemented
23#61599C212yesmaximal, complemented
24#61598C212yesmaximal, complemented
25#61567C212yesmaximal, complemented
26#61566C212yesmaximal, complemented
27#61558C212yesmaximal, complemented
28#61495C212yesmaximal, complemented
29#61450C211yesmaximal, characteristic, complemented
30#61436C211yesmaximal, characteristic, complemented
31#61087C211yesmaximal, characteristic, complemented
32#61077C214yesmaximal, complemented
33#61070C212yesmaximal, complemented
34#61038C212yesmaximal, complemented
35#60323C211yesmaximal, characteristic, complemented
36C2×#577C2212yescomplemented
37C2×#575C2214yescomplemented
38#3549—21no—
39#3549C2211yescharacteristic, complemented
40#3548—21no—
41#3548C2211yescharacteristic
42#3546—22no—
43#3546—22no—
44#3546—22no—
45#3546C2212yescomplemented
46#3546C2212yescomplemented
47#3546C2212yescomplemented
48#3543—22no—
49#3543C2212yescomplemented
50#3542—24no—
51#3542C2214yescomplemented
52#3540—24no—
53#3540C2214yescomplemented
54#3522C2212yescomplemented
55#3519—22no—
56#3519C2212yescomplemented
57#3518C2212yescomplemented
58#3518C2212yescomplemented
59#3517C2212yescomplemented
60#3511—21no—
61#3511—21no—
62#3511C2211yescharacteristic, complemented
63#3511C2211yescharacteristic, complemented
64#3508—21no—
65#3508C2211yescharacteristic, complemented
66#3506—22no—
67#3506—22no—
68#3506C2212yescomplemented
69#3506C2212yescomplemented
70#3499C2211yescharacteristic, complemented
71#3498—21no—
72#3498C2211yescharacteristic
73#3498C2211yescharacteristic, complemented
74#3496—22no—
75#3496C2212yescomplemented
76#3488C2214yescomplemented
77#3487C2214yescomplemented
78#3483C2211yescharacteristic, complemented
79#3483C2211yescharacteristic, complemented
80#3483C2211yescharacteristic, complemented
81#3482C2211yescharacteristic, complemented
82#3481—21no—
83#3481—21no—
84#3481C2211yescharacteristic
85D4×#41C2212yescomplemented
86D4×#41C2212yescomplemented
87D4×#41C2212yescomplemented
88C2×#550C2212yescomplemented
89#3399C2212yescomplemented
90#3397C2211yescharacteristic, complemented
91#3397C2212yescomplemented
92#3397C2212yescomplemented
93#3397C2212yescomplemented
94#3394C2212yescomplemented
95#3394C2212yescomplemented
96#3393C2212yescomplemented
97#3391C2212yescomplemented
98#3391C2211yescharacteristic, complemented
99#3387C2211yescharacteristic, complemented
100Q8×Q16C2211yescharacteristic, complemented
101#3375C2212yescomplemented
102#3369C2211yescharacteristic, complemented
103#3369C2212yescomplemented
104#3368C2211yescharacteristic, complemented
105#3364C2212yescomplemented
106#3362C2212yescomplemented
107#3362C2211yescharacteristic, complemented
108#3362C2211yescharacteristic, complemented
109#3357C2212yescomplemented
110#3354C2211yescharacteristic, complemented
111#3354C2212yescomplemented
112#3353C2214yescomplemented
113#3350C2214yescomplemented
114#3348C2212yescomplemented
115#3341C2211yescharacteristic, complemented
116#3341C2212yescomplemented
117#3332C2211yescharacteristic, complemented
118#3332C2214yescomplemented
119#3331C2212yescomplemented
120#3330C2212yescomplemented
121#3330C2212yescomplemented
122#3329C2211yescharacteristic, complemented
123#3327C2214yescomplemented
124#3325C2212yescomplemented
125#3325C2214yescomplemented
126#3325C2212yescomplemented
127#3325C2212yescomplemented
128#3324C2214yescomplemented
129#3321C2212yescomplemented
130#3321C2214yescomplemented
131#3319C2214yescomplemented
132#3317C2212yescomplemented
133#3313C2214yescomplemented
134#3311C2214yescomplemented
135#3311C2214yescomplemented
136#3309C2214yescomplemented
137#3308C2214yescomplemented
138#3306C2214yescomplemented
139#3305C2212yescomplemented
140#3305C2212yescomplemented
141#3305C2212yescomplemented
142#3305C2212yescomplemented
143#3305C2211yescharacteristic, complemented
144#3305C2211yescharacteristic, complemented
145#3305C2212yescomplemented
146#3305C2212yescomplemented
147#3304C2214yescomplemented
148#3304C2214yescomplemented
149#3303C2212yescomplemented
150#3303C2212yescomplemented
151#3301C2214yescomplemented
152#3299C2212yescomplemented
153#3298C2212yescomplemented
154#3297C2214yescomplemented
155#3295C2212yescomplemented
156#3294C2212yescomplemented
157#3287C2212yescomplemented
158#3287C2214yescomplemented
159#3287C2214yescomplemented
160#3287C2211yescharacteristic, complemented
161#3287C2212yescomplemented
162#3284C2212yescomplemented
163#3284C2212yescomplemented
164#3284C2212yescomplemented
165#3284C2212yescomplemented
166#3284C2212yescomplemented
167#3284C2212yescomplemented
168#3283C2212yescomplemented
169#3282C2214yescomplemented
170#3282C2214yescomplemented
171#3282C2214yescomplemented
172D4×SD16C2212yescomplemented
173D4×SD16C2212yescomplemented
174#3280C2214yescomplemented
175D4×D8C2212yescomplemented
176D4×D8C2212yescomplemented
177#3278C2211yescharacteristic, complemented
178#3278C2212yescomplemented
179#3278C2212yescomplemented
180#3278C2212yescomplemented
181#3277C2214yescomplemented
182#3277C2214yescomplemented
183#3276C2212yescomplemented
184#3276C2212yescomplemented
185#3275C2214yescomplemented
186#3275C2214yescomplemented
187#3274C2212yescomplemented
188#3274C2214yescomplemented
189#3274C2214yescomplemented
190#3274C2212yescomplemented
191#3274C2212yescomplemented
192#3274C2212yescomplemented
193#3273C2214yescomplemented
194#3272C2212yescomplemented
195#3272C2212yescomplemented
196#3272C2212yescomplemented
197#3272C2212yescomplemented
198#3272C2212yescomplemented
199#3271C2212yescomplemented
200#3271C2214yescomplemented
201#3271C2214yescomplemented
202#3271C2214yescomplemented
203#3271C2214yescomplemented
204#3268C2214yescomplemented
205#3268C2214yescomplemented
206#3268C2214yescomplemented
207#3268C2214yescomplemented
208#3268C2214yescomplemented
209#3265C2214yescomplemented
210#3265C2214yescomplemented
211#3265C2214yescomplemented
212#3264C2214yescomplemented
213#3263C2214yescomplemented
214#3257C2214yescomplemented
215#3254C2211yescharacteristic, complemented
216#3253C2211yescharacteristic, complemented
217#3253C2212yescomplemented
218#3252C2212yescomplemented
219#3246C2212yescomplemented
220#3245C2212yescomplemented
221#3224C2214yescomplemented
222#3224C2214yescomplemented
223#3224C2214yescomplemented
224#3220C2214yescomplemented
225#3214C2212yescomplemented
226#3214C2212yescomplemented
227#3212C2212yescomplemented
228#3210C2212yescomplemented
229#3209C2211yescharacteristic, complemented
230#3208C2212yescomplemented
231#3207C2212yescomplemented
232#3207C2212yescomplemented
233#3206C2211yescharacteristic, complemented
234#3205C2211yescharacteristic, complemented
235#3205C2212yescomplemented
236#3205C2211yescharacteristic, complemented
237#3201C2214yescomplemented
238#3199C2214yescomplemented
239#3198C2214yescomplemented
240#3197C2214yescomplemented
241#3194C2214yescomplemented
242#3191C2214yescomplemented
243#3188C2214yescomplemented
244#3188C2214yescomplemented
245#3188C2214yescomplemented
246#3182C2212yescomplemented
247#3179C2214yescomplemented
248#3175C2214yescomplemented
249#3171C2212yescomplemented
250#3169C2212yescomplemented
251#3169C2211yescharacteristic, complemented
252#3167C2211yescharacteristic, complemented
253#3167C2212yescomplemented
254#3155C2214yescomplemented
255#3151C2212yescomplemented
256#3147C2212yescomplemented
257C2×#492C2211yescharacteristic, complemented
258#3126C2214yescomplemented
259#3125C2214yescomplemented
260#3124C2214yescomplemented
261#3121C2214yescomplemented
262#3116C2212yescomplemented
263#3115C2212yescomplemented
264#3107C2211yescharacteristic, complemented
265#3106C2211yescharacteristic, complemented
266#3106C2211yescharacteristic, complemented
267#3106C2212yescomplemented
268#3106C2211yescharacteristic, complemented
269#3106C2212yescomplemented
270#3106C2212yescomplemented
271#3104C2212yescomplemented
272#3103C2212yescomplemented
273#3102C2212yescomplemented
274#3062C2214yescomplemented
275#3057C2212yescomplemented
276#3055C2214yescomplemented
277#3055C2214yescomplemented
278#3054C2214yescomplemented
279#3045C2214yescomplemented
280#3043C2214yescomplemented
281#3039C2211yescharacteristic, complemented
282#3038C2211yescharacteristic, complemented
283#3038C2212yescomplemented
284#3037C2212yescomplemented
285#3035C2212yescomplemented
286#3035C2212yescomplemented
287#3013C2214yescomplemented
288#3010C2212yescomplemented
289#3009C2212yescomplemented
290#3008C2214yescomplemented
291#3006C2214yescomplemented
292#3005C2214yescomplemented
293#3002C2214yescomplemented
294#3002C2214yescomplemented
295#3002C2214yescomplemented
296C2×#449C2214yescomplemented
297#2994C2212yescomplemented
298#2993C2212yescomplemented
299#2991C2211yescharacteristic, complemented
300#2990C2211yescharacteristic, complemented
301#2979C2211yescharacteristic, complemented
302#2976C2214yescomplemented
303#2974C2212yescomplemented
304#2972C2212yescomplemented
305#2969C2212yescomplemented
306#2966C2212yescomplemented
307#2965C2211yescharacteristic, complemented
308C8×#41C2211yescharacteristic, complemented
309#2947C2214yescomplemented
310C4×#137C2212yescomplemented
311C4×#135C2211yescharacteristic, complemented
312C4×#135C2212yescomplemented
313D4×M16C2212yescomplemented
314#2933C2214yescomplemented
315#2931C2211yescharacteristic, complemented
316C2×#436C2212yescomplemented
317C2×2−1+4C2312yes—
318C2×H(5,𝔽2)—21no—
319C2×H(5,𝔽2)—22no—
320C2×H(5,𝔽2)C2312yes—
321C22×#41C2314yes—
322C22×#41C2314yes—
323#577—48no—
324#575—416no—
325C2×#137C2312yes—
326C2×#137C2314yes—
327C2×#137C2314yes—
328C2×#137C2312yes—
329C2×#137C2314yes—
330C2×AGL(1,ℤ/8)C2314yes—
331C2×AGL(1,ℤ/8)C2314yes—
332C2×AGL(1,ℤ/8)C2314yes—
333C2×AGL(1,ℤ/8)C2314yes—
334C2×AGL(1,ℤ/8)C2314yes—
335C2×AGL(1,ℤ/8)C2312yes—
336C2×AGL(1,ℤ/8)C2314yes—
337C2×#135C2312yes—
338C2×#135C2311yescharacteristic
339C2×#135C2314yes—
340C2×#135C2314yes—
341C2×#135C2314yes—
342C2×#135C2314yes—
343C2×#135C2314yes—
344C2×#135C2314yes—
345C22×SD16C2312yes—
346C22×SD16C2314yes—
347C22×SD16C2312yes—
348C22×D8C2314yes—
349C2×#131C2312yes—
350C22×M16C2314yes—
351#562—22no—
352#562—24no—
353H(3,𝔽4)—22no—
354H(3,𝔽4)—24no—
355#560—24no—
356#560—24no—
357#560—24no—
358#560—24no—
359#560—24no—
360#560—24no—
361#559—22no—
362#559—24no—
363#559—21no—
364#559—24no—
365#559—24no—
366#559D411yescharacteristic
367#559C2312yes—
368Q82C2311yescharacteristic
369Q82C2311yescharacteristic
370Q82C2311yescharacteristic
371#557C2311yescharacteristic
372#556—24no—
373#556—24no—
374#556—22no—
375#556—22no—
376#556—21no—
377#556C2312yes—
378#556C2311yescharacteristic
379#556C2312yes—
380#556C2314yes—
381#556C2314yes—
382#555—21no—
383#555—22no—
384#555—22no—
385#555—21no—
386#555—21no—
387#555—21no—
388#555—21no—
389#555—21no—
390#555—22no—
391#555—22no—
392#555—22no—
393#555C2311yescharacteristic
394#555C2311yescharacteristic
395#555C2311yescharacteristic
396#555C2312yes—
397#555C2312yes—
398#555C2312yes—
399#555C2312yes—
400#555C2312yes—
401#554—21no—
402#554—22no—
403#554—21no—
404#554—21no—
405#554D411yescharacteristic
406#554D411yescharacteristic
407#554C2312yes—
408#553—24no—
409#553—22no—
410#553—22no—
411#553—22no—
412#553—22no—
413#553—22no—
414#553—22no—
415#553—22no—
416#553—22no—
417#553—22no—
418#553—22no—
419#553D412yes—
420#553D412yes—
421#553C2314yes—
422#552—22no—
423#552C2312yes—
424#551—24no—
425#551—24no—
426#551D414yes—
427#550—21no—
428#550—21no—
429#550—21no—
430#550—21no—
431#550—24no—
432#550—24no—
433#550—22no—
434#550—21no—
435#550—22no—
436#550—24no—
437#550—22no—
438#550—21no—
439#550C2311yescharacteristic
440#550C2314yes—
441#550C2311yescharacteristic
442#550C2314yes—
443#550C2312yes—
444#550C2312yes—
445#550C2314yes—
446#550C2312yes—
447#550C2311yescharacteristic
448#550C2312yes—
449#550C2312yes—
450#550C2312yes—
451#550C2312yes—
452#550C2314yes—
453#550C2311yescharacteristic
454#550C2312yes—
455#550C2311yescharacteristic
456#550C2311yescharacteristic
457D4×Q8C2311yescharacteristic
458D4×Q8C2312yes—
459D4×Q8C2312yes—
460#548—24no—
461#548—24no—
462#548C2314yes—
463#548C2314yes—
464#548C2314yes—
465#548C2312yes—
466#548C2314yes—
467#548C2314yes—
468#547—21no—
469#547—24no—
470#547—22no—
471#547—22no—
472#547—22no—
473#547—22no—
474#547—22no—
475#547—22no—
476#547C2312yes—
477#547C2312yes—
478#547C2312yes—
479#547C2312yes—
480#547C2312yes—
481#547C2311yescharacteristic
482#547C2312yes—
483#547C2314yes—
484#546—22no—
485#546—22no—
486#546—22no—
487#546—24no—
488#546—24no—
489#546—22no—
490#546—24no—
491#546—22no—
492#546—22no—
493#546—22no—
494#546—24no—
495#546—24no—
496#546—24no—
497#546—24no—
498#546—24no—
499#546D412yes—
500#546D412yes—
501#546C2314yes—
502#546C2314yes—
503#546C2314yes—
504#546C2314yes—
505#546C2314yes—
506D42—22no—
507D42—22no—
508D42—22no—
509D42—22no—
510D42—21no—
511D42—22no—
512D42—22no—
513D42—22no—
514D42—24no—
515D42—24no—
516D42—21no—
517D42—22no—
518D42D411yescharacteristic
519D42C2312yes—
520D42C2312yes—
521D42C2312yes—
522D42C2314yes—
523D42C2314yes—
524D42C2312yes—
525D42C2312yes—
526#542—24no—
527#542—24no—
528#542—24no—
529#542—24no—
530#542—24no—
531#542—22no—
532#542—22no—
533#542C2314yes—
534#542C2314yes—
535#542C2314yes—
536#540—22no—
537#540—24no—
538#540—24no—
539#540—22no—
540#540—22no—
541#540—22no—
542#540C2314yes—
543#538—24no—
544#538—24no—
545#538—24no—
546#538—24no—
547#538—24no—
548#538—24no—
549#538—24no—
550#538—24no—
551#538—24no—
552#537—21no—
553#537—21no—
554#537—24no—
555#537—22no—
556#537—22no—
557#537—22no—
558#537—22no—
559#537—22no—
560#537C2314yes—
561#536—22no—
562#536C2312yes—
563#535—21no—
564#535—22no—
565#535—22no—
566#535—22no—
567#535—22no—
568#535—24no—
569#535—22no—
570#535—22no—
571#535—22no—
572#535—22no—
573#535—22no—
574#535—24no—
575#535—24no—
576#535—24no—
577#535—22no—
578#535—21no—
579#535C2314yes—
580#535C2314yes—
581#535C2314yes—
582#535C2312yes—
583#534—24no—
584#534—24no—
585#534—24no—
586#533—22no—
587#533—22no—
588#533—21no—
589#533C2312yes—
590#533C2311yescharacteristic
591#533C2312yes—
592#532—21no—
593#532—21no—
594#532—22no—
595#532—22no—
596#532—22no—
597#532—22no—
598#532—22no—
599#532—22no—
600#532—21no—
601#532—22no—
602#532—22no—
603#532—21no—
604#532—21no—
605#532C2312yes—
606#532C2312yes—
607#532C2312yes—
608#532C2312yes—
609#532C2311yescharacteristic
610#532C2311yescharacteristic
611#532C2311yescharacteristic
612#532C2312yes—
613#532C2312yes—
614#532C2312yes—
615#532C2312yes—
616#532C2311yescharacteristic
617C2×C4⋊Q8—21no—
618C2×C4⋊Q8C2311yescharacteristic
619C2×#127—22no—
620C2×#127—21no—
621C2×#127C2311yescharacteristic
622C2×#127C2312yes—
623#529—22no—
624#529—22no—
625#529—22no—
626#529—22no—
627#529—22no—
628#529C2312yes—
629#529C2312yes—
630#529C2312yes—
631#525—24no—
632#525—24no—
633#525—24no—
634#525—24no—
635#525—24no—
636#525—24no—
637#525C2314yes—
638#525C2314yes—
639#525C2314yes—
640#525C2314yes—
641#525C2314yes—
642C2×#121—24no—
643C2×#121—24no—
644C2×#121C2314yes—
645C2×#121C2314yes—
646#520—21no—
647#520—21no—
648#520—22no—
649#520—22no—
650#520C2314yes—
651#519C2314yes—
652#518—22no—
653#518—21no—
654C4×#41—21no—
655C4×#41—21no—
656C4×#41—21no—
657C4×#41—21no—
658C4×#41C2312yes—
659C4×#41C2311yescharacteristic
660C4×#41C2311yescharacteristic
661C4×#41C2312yes—
662C4×#41C2312yes—
663C4×#41C2311yescharacteristic
664C4×#41C2311yescharacteristic
665C2×C4×Q8C2312yes—
666C2×C4×D4—22no—
667C2×C4×D4—22no—
668C2×C4×D4—22no—
669C2×C4×D4—22no—
670C2×C4×D4C2312yes—
671C2×C4×D4C2312yes—
672#501C2312yes—
673#500C2312yes—
674#500C2311yescharacteristic
675#498C2311yescharacteristic
676#496C2314yes—
677#496C2314yes—
678#496C2312yes—
679#496C2314yes—
680#496C2314yes—
681#495C2314yes—
682#495C2314yes—
683#495C2314yes—
684#494C2312yes—
685#493C2312yes—
686#493C2311yescharacteristic
687#493C2312yes—
688#493C2314yes—
689#493C2312yes—
690#492C2312yes—
691#492C2312yes—
692#492C2312yes—
693#492C2312yes—
694#492C2311yescharacteristic
695#492C2312yes—
696#490C2312yes—
697#489C2312yes—
698#489C2314yes—
699#489C2314yes—
700#488C2314yes—
701#487C2311yescharacteristic
702#487C2312yes—
703#487C2312yes—
704#486C2312yes—
705#486C2311yescharacteristic
706#486C2312yes—
707#486C2311yescharacteristic
708#486C2311yescharacteristic
709#486C2312yes—
710#486C2314yes—
711#486C2312yes—
712#485C2312yes—
713#485C2312yes—
714#485C2314yes—
715#485C2314yes—
716#484C2314yes—
717#484C2314yes—
718#483C2314yes—
719#482C2312yes—
720#482C2312yes—
721#482C2312yes—
722#482C2312yes—
723#482C2312yes—
724#482C2312yes—
725#482C2312yes—
726#482C2314yes—
727#482C2314yes—
728#482C2314yes—
729#482C2314yes—
730#482C2312yes—
731#482C2314yes—
732#481C2312yes—
733#481C2312yes—
734#481C2314yes—
735#480C2314yes—
736#479C2314yes—
737#479C2312yes—
738#478C2312yes—
739#477C2311yescharacteristic
740#477C2312yes—
741#477C2311yescharacteristic
742#477C2311yescharacteristic
743#477C2312yes—
744#477C2312yes—
745#476C2311yescharacteristic
746#476C2311yescharacteristic
747#476C2312yes—
748#476C2312yes—
749#476C2314yes—
750#476C2311yescharacteristic
751#476C2312yes—
752#476C2312yes—
753#475C2314yes—
754#475C2311yescharacteristic
755#475C2312yes—
756#475C2312yes—
757#474C2311yescharacteristic
758#474C2312yes—
759#474C2314yes—
760#470C2314yes—
761#470C2314yes—
762#469C2312yes—
763#469C2314yes—
764#469C2314yes—
765#469C2312yes—
766#469C2314yes—
767#469C2314yes—
768#469C2314yes—
769#469C2314yes—
770#468C2312yes—
771#468C2314yes—
772#468C2314yes—
773#468C2312yes—
774#468C2314yes—
775#468C2314yes—
776#468C2314yes—
777#468C2314yes—
778#468C2314yes—
779#468C2314yes—
780#467C2314yes—
781#466C2312yes—
782#466C2312yes—
783#466C2312yes—
784#466C2312yes—
785#466C2312yes—
786#466C2312yes—
787#466C2314yes—
788#466C2314yes—
789#466C2314yes—
790#466C2314yes—
791#466C2314yes—
792#465C2312yes—
793#465C2314yes—
794#465C2314yes—
795#465C2312yes—
796#465C2314yes—
797#465C2314yes—
798#465C2314yes—
799#465C2314yes—
800#465C2314yes—
801#465C2314yes—
802#464C2312yes—
803#464C2314yes—
804#464C2314yes—
805#464C2314yes—
806#464C2314yes—
807#464C2314yes—
808#464C2314yes—
809#464C2314yes—
810#463C2312yes—
811#463C2314yes—
812#463C2314yes—
813#463C2314yes—
814#463C2314yes—
815#463C2314yes—
816#463C2314yes—
817#462C2312yes—
818#462C2312yes—
819#462C2312yes—
820#462C2311yescharacteristic
821#462C2312yes—
822#461C2311yescharacteristic
823#461C2312yes—
824#461C2312yes—
825#461C2312yes—
826#461C2312yes—
827#461C2312yes—
828#460C2312yes—
829#460C2312yes—
830#460C2312yes—
831#460C2312yes—
832#460C2311yescharacteristic
833#460C2311yescharacteristic
834#460C2311yescharacteristic
835#460C2312yes—
836#460C2312yes—
837#460C2314yes—
838#460C2314yes—
839#460C2314yes—
840#460C2314yes—
841#460C2312yes—
842#459C2311yescharacteristic
843#459C2314yes—
844#459C2311yescharacteristic
845#459C2311yescharacteristic
846#459C2312yes—
847#459C2312yes—
848#459C2312yes—
849#459C2312yes—
850#459C2312yes—
851#459C2312yes—
852#459C2314yes—
853#459C2314yes—
854#459C2312yes—
855#459C2312yes—
856#459C2312yes—
857#459C2312yes—
858#452C2314yes—
859#452C2312yes—
860#452C2312yes—
861#452C2314yes—
862#452C2314yes—
863#452C2314yes—
864#452C2314yes—
865#452C2314yes—
866#452C2314yes—
867#452C2314yes—
868#452C2314yes—
869#451C2314yes—
870#451C2314yes—
871#451C2314yes—
872#450C2314yes—
873#450C2314yes—
874#450C2314yes—
875#450C2314yes—
876#450C2314yes—
877#449C2314yes—
878#449C2314yes—
879#449C2312yes—
880#449C2314yes—
881#449C2314yes—
882#449C2312yes—
883#449C2314yes—
884#449C2312yes—
885#449C2312yes—
886#449C2312yes—
887#449C2312yes—
888#449C2312yes—
889#449C2312yes—
890#449C2314yes—
891#449C2314yes—
892#449C2314yes—
893#449C2314yes—
894#449C2314yes—
895#449C2314yes—
896#449C2314yes—
897#449C2314yes—
898#449C2314yes—
899#449C2314yes—
900#449C2314yes—
901#449C2314yes—
902#449C2314yes—
903#448C2312yes—
904#448C2312yes—
905#448C2314yes—
906#448C2314yes—
907#448C2314yes—
908#448C2314yes—
909#447C2314yes—
910#447C2314yes—
911#447C2314yes—
912#447C2314yes—
913#447C2314yes—
914#447C2314yes—
915#447C2314yes—
916#447C2314yes—
917#447C2314yes—
918#446C2311yescharacteristic
919#446C2312yes—
920#446C2311yescharacteristic
921C8×Q8C2311yescharacteristic
922C8×Q8C2312yes—
923C8×Q8C2311yescharacteristic
924#442C2314yes—
925#441C2314yes—
926#441C2312yes—
927#441C2312yes—
928#440C2312yes—
929#440C2314yes—
930#440C2312yes—
931#440C2314yes—
932#440C2314yes—
933#440C2314yes—
934C4×Q16C2312yes—
935C4×Q16C2314yes—
936C4×Q16C2314yes—
937C4×Q16C2311yescharacteristic
938C4×Q16C2312yes—
939C4×Q16C2311yescharacteristic
940C4×SD16C2311yescharacteristic
941C4×SD16C2312yes—
942C4×SD16C2311yescharacteristic
943C4×SD16C2314yes—
944C4×SD16C2314yes—
945C4×SD16C2312yes—
946C4×SD16C2311yescharacteristic
947C4×SD16C2312yes—
948C4×SD16C2311yescharacteristic
949C4×SD16C2312yes—
950C4×SD16C2312yes—
951C4×SD16C2312yes—
952C4×SD16C2314yes—
953C4×SD16C2312yes—
954C4×SD16C2312yes—
955C4×D8C2312yes—
956C4×D8C2312yes—
957C4×D8C2311yescharacteristic
958C4×D8C2312yes—
959C4×D8C2311yescharacteristic
960C4×D8C2312yes—
961C4×D8C2312yes—
962C4×D8C2312yes—
963C4×D8C2314yes—
964#436C2311yescharacteristic
965#436C2312yes—
966#436C2312yes—
967#436C2312yes—
968#436C2314yes—
969#436C2314yes—
970#436C2311yescharacteristic
971#436C2312yes—
972#436C2312yes—
973#436C2314yes—
974#435C2312yes—
975#435C2314yes—
976#435C2314yes—
977#435C2314yes—
978#435C2314yes—
979#435C2312yes—
980#435C2314yes—
981C8×D4C2312yes—
982C8×D4C2311yescharacteristic
983C8×D4C2312yes—
984C8×D4C2312yes—
985C8×D4C2314yes—
986C8×D4C2312yes—
987C8×D4C2311yescharacteristic
988C8×D4C2312yes—
989C8×D4C2314yes—
990C8×D4C2312yes—
991C8×D4C2312yes—
992#433C2314yes—
993#433C2314yes—
994#432C2312yes—
995#431C2312yes—
996#431C2312yes—
997#431C2311yescharacteristic
998#431C2312yes—
999#431C2311yescharacteristic
1000#428C2312yes—
1001#428C2314yes—
1002#427C2311yescharacteristic
1003#427C2312yes—
1004#424C2314yes—
1005#423C2311yescharacteristic
1006#423C2312yes—
1007C2×C4⋊C8C2312yes—
1008#419C2312yes—
1009#419C2312yes—
1010#418C2314yes—
1011#418C2314yes—
1012#418C2312yes—
1013#417C2314yes—
1014#417C2314yes—
1015#417C2312yes—
1016#416C2312yes—
1017#416C2312yes—
1018#416C2311yescharacteristic
1019#416C2311yescharacteristic
1020#416C2314yes—
1021#416C2314yes—
1022#416C2314yes—
1023#416C2314yes—
1024C2×#103C2314yes—
1025C2×#102C2314yes—
1026#408C2312yes—
1027#408C2314yes—
1028#407C2314yes—
1029C2×C22⋊C8C2314yes—
1030C2×C22⋊C8C2314yes—
1031#405C2314yes—
1032C4×M16C2312yes—
1033C2×C4×C8C2311yescharacteristic
1034C2×C4×C8C2312yes—
10352−1+4—44no—
10362−1+4—82no—
1037H(5,𝔽2)—44no—
1038H(5,𝔽2)—82no—
1039H(5,𝔽2)—88no—
1040H(5,𝔽2)—84no—
1041C2×#41—21no—
1042C2×#41—21no—
1043C2×#41—21no—
1044C2×#41—22no—
1045C2×#41—22no—
1046C2×#41—21no—
1047C2×#41—22no—
1048C2×#41—24no—
1049C2×#41—24no—
1050C2×#41—22no—
1051C2×#41—22no—
1052C2×#41—22no—
1053C2×#41—21no—
1054C2×#41—21no—
1055C2×#41—24no—
1056C2×#41—24no—
1057C2×#41—24no—
1058C2×#41—21no—
1059C2×#41—22no—
1060C2×#41—22no—
1061C2×#41—22no—
1062C2×#41—24no—
1063C2×#41—48no—
1064C2×#41—48no—
1065C2×#41—84no—
1066C2×#41—84no—
1067C2×#41C2×D411yescharacteristic
1068C2×#41C2×D411yescharacteristic
1069C2×#41C2412yes—
1070C2×#41C2411yescharacteristic
1071C2×#41C2412yes—
1072C2×#41C2412yes—
1073C2×#41C2411yescharacteristic
1074C2×#41C2414yes—
1075C2×#41C2414yes—
1076C2×#41C2414yes—
1077C2×#41C2414yes—
1078C2×#41C2414yes—
1079C2×#41C2414yes—
1080C2×#41C2412yes—
1081C22×Q8—22no—
1082C22×Q8C2412yes—
1083C22×Q8C2414yes—
1084C22×Q8C2412yes—
1085C22×D4—24no—
1086C22×D4—24no—
1087C22×D4—24no—
1088C22×D4—24no—
1089C22×D4—22no—
1090C22×D4—22no—
1091C22×D4—22no—
1092C22×D4—22no—
1093C22×D4—24no—
1094C22×D4—24no—
1095C22×D4—24no—
1096C22×D4—22no—
1097C22×D4—22no—
1098C22×D4—22no—
1099C22×D4—21no—
1100C22×D4—22no—
1101C22×D4—21no—
1102C22×D4C2×D412yes—
1103C22×D4C2×D412yes—
1104C22×D4C2414yes—
1105C22×D4C2414yes—
1106C22×D4C2412yes—
1107C22×D4C2414yes—
1108C23×C4—24no—
1109C23×C4—24no—
1110C23×C4C2414yes—
1111#137—28no—
1112#137—216no—
1113#137—48no—
1114#137—48no—
1115#137—44no—
1116AGL(1,ℤ/8)—48no—
1117AGL(1,ℤ/8)—48no—
1118AGL(1,ℤ/8)—48no—
1119AGL(1,ℤ/8)—48no—
1120AGL(1,ℤ/8)—48no—
1121AGL(1,ℤ/8)—44no—
1122AGL(1,ℤ/8)—84no—
1123#135—28no—
1124#135—24no—
1125#135—48no—
1126#135—48no—
1127#135—48no—
1128#135—48no—
1129#135—84no—
1130#135—84no—
1131C2×Q16C2412yes—
1132C2×Q16C2414yes—
1133C2×Q16C2414yes—
1134C2×Q16C2414yes—
1135C2×Q16C2411yescharacteristic
1136C2×SD16—44no—
1137C2×SD16—48no—
1138C2×SD16—82no—
1139C2×SD16C2411yescharacteristic
1140C2×SD16C2414yes—
1141C2×SD16C2414yes—
1142C2×SD16C2411yescharacteristic
1143C2×SD16C2412yes—
1144C2×SD16C2412yes—
1145C2×SD16C2412yes—
1146C2×SD16C2412yes—
1147C2×SD16C2414yes—
1148C2×SD16C2414yes—
1149C2×SD16C2414yes—
1150C2×SD16C2414yes—
1151C2×SD16C2412yes—
1152C2×SD16C2412yes—
1153C2×SD16C2414yes—
1154C2×SD16C2414yes—
1155C2×SD16C2414yes—
1156C2×D8—84no—
1157C2×D8C2412yes—
1158C2×D8C2411yescharacteristic
1159C2×D8C2412yes—
1160C2×D8C2412yes—
1161C2×D8C2414yes—
1162C2×D8C2414yes—
1163C2×D8C2412yes—
1164C2×D8C2414yes—
1165C2×D8C2414yes—
1166C2×D8C2414yes—
1167C2×D8C2414yes—
1168C2×D8C2412yes—
1169#131—44no—
1170C2×M16—48no—
1171C2×M16C2412yes—
1172C2×M16C2414yes—
1173C2×M16C2414yes—
1174C2×M16C2414yes—
1175C2×M16C2412yes—
1176C2×M16C2412yes—
1177C22×C8C2412yes—
1178C22×C8C2411yescharacteristic
1179C22×C8C2414yes—
1180C22×C8C2414yes—
1181C22×C8C2414yes—
1182C22×C8C2411yescharacteristic
1183C22×C8C2412yes—
1184C4⋊Q8—22no—
1185C4⋊Q8—21no—
1186C4⋊Q8—22no—
1187C4⋊Q8—22no—
1188C4⋊Q8—21no—
1189C4⋊Q8—21no—
1190C4⋊Q8—21no—
1191C4⋊Q8—21no—
1192C4⋊Q8—22no—
1193C4⋊Q8—22no—
1194C4⋊Q8—22no—
1195C4⋊Q8—21no—
1196C4⋊Q8—21no—
1197C4⋊Q8C2×D411yescharacteristic
1198C4⋊Q8C2412yes—
1199C4⋊Q8C2412yes—
1200C4⋊Q8C2411yescharacteristic
1201C4⋊Q8C2411yescharacteristic
1202C4⋊Q8C2411yescharacteristic
1203C4⋊Q8C2411yescharacteristic
1204C4⋊Q8C2411yescharacteristic
1205C4⋊Q8C2412yes—
1206C4⋊Q8C2412yes—
1207C4⋊Q8C2412yes—
1208#127—22no—
1209#127—21no—
1210#127—22no—
1211#127—22no—
1212#127—24no—
1213#127—24no—
1214#127—22no—
1215#127—22no—
1216#127—21no—
1217#127—21no—
1218#127—22no—
1219#127—22no—
1220#127—22no—
1221#127—24no—
1222#127—24no—
1223#127—24no—
1224#127—21no—
1225#127—21no—
1226#127—22no—
1227#127—22no—
1228#127C2×D411yescharacteristic
1229#127C2412yes—
1230#127C2411yescharacteristic
1231#127C2412yes—
1232#127C2414yes—
1233#127C2411yescharacteristic
1234#127C2411yescharacteristic
1235#127C2412yes—
1236#127C2412yes—
1237#127C2412yes—
1238#126—24no—
1239#126—22no—
1240#126—24no—
1241#126—24no—
1242#126—24no—
1243#126—24no—
1244#126—24no—
1245#126—24no—
1246#126—24no—
1247#126—22no—
1248#126—24no—
1249#126—24no—
1250#126—22no—
1251#126C2×D414yes—
1252#126C2×D414yes—
1253#125—22no—
1254#125—22no—
1255#125—22no—
1256#125—22no—
1257#125—22no—
1258#125—21no—
1259#125C2×D412yes—
1260#125C2×D412yes—
1261#125C2412yes—
1262#124—22no—
1263#124—22no—
1264#124—24no—
1265#124—22no—
1266#124—24no—
1267#124—24no—
1268#124—22no—
1269#124—24no—
1270#124—22no—
1271#124—24no—
1272#124—24no—
1273#124—24no—
1274#124—22no—
1275#124—22no—
1276#124—22no—
1277#124—22no—
1278#124—22no—
1279#124—22no—
1280#124—22no—
1281#124—22no—
1282#124—24no—
1283#124—24no—
1284#124—24no—
1285#124—24no—
1286#124—24no—
1287#124—24no—
1288#124—22no—
1289#124—22no—
1290#124—21no—
1291#124—22no—
1292#124—22no—
1293#124—22no—
1294#124—21no—
1295#124—21no—
1296#124C2×D412yes—
1297#124C2×D412yes—
1298#124C2×D412yes—
1299#124C2412yes—
1300#124C2414yes—
1301#124C2414yes—
1302#124C2414yes—
1303#123—22no—
1304#123—24no—
1305#123—24no—
1306#123—24no—
1307#123—24no—
1308#123—24no—
1309#123—22no—
1310#123—24no—
1311#123—24no—
1312#123—24no—
1313#123—24no—
1314#123—24no—
1315#123—24no—
1316#123—24no—
1317#123—24no—
1318#123—24no—
1319#123—24no—
1320#123—24no—
1321#123—22no—
1322#123—24no—
1323#123—24no—
1324#123—24no—
1325#123—24no—
1326#123—24no—
1327#123—24no—
1328#123—24no—
1329#123—24no—
1330#123—24no—
1331#123C2×D414yes—
1332#123C2×D414yes—
1333#123C2×D414yes—
1334#123C2×D414yes—
1335C22⋊Q8—24no—
1336C22⋊Q8—22no—
1337C22⋊Q8—22no—
1338C22⋊Q8—21no—
1339C22⋊Q8—21no—
1340C22⋊Q8—22no—
1341C22⋊Q8—22no—
1342C22⋊Q8—24no—
1343C22⋊Q8—24no—
1344C22⋊Q8—24no—
1345C22⋊Q8—24no—
1346C22⋊Q8—24no—
1347C22⋊Q8—22no—
1348C22⋊Q8—21no—
1349C22⋊Q8—22no—
1350C22⋊Q8—24no—
1351C22⋊Q8—24no—
1352C22⋊Q8—24no—
1353C22⋊Q8—24no—
1354C22⋊Q8—22no—
1355C22⋊Q8—24no—
1356C22⋊Q8—24no—
1357C22⋊Q8—24no—
1358C22⋊Q8C2×D414yes—
1359C22⋊Q8C2×D414yes—
1360C22⋊Q8C2×D412yes—
1361C22⋊Q8C2×D412yes—
1362C22⋊Q8C2412yes—
1363C22⋊Q8C2414yes—
1364C22⋊Q8C2414yes—
1365C22⋊Q8C2414yes—
1366C22⋊Q8C2414yes—
1367C22⋊Q8C2414yes—
1368C22⋊Q8C2412yes—
1369#121—22no—
1370#121—24no—
1371#121—24no—
1372#121—24no—
1373#121—24no—
1374#121—22no—
1375#121—22no—
1376#121—22no—
1377#121—22no—
1378#121—22no—
1379#121—21no—
1380#121—21no—
1381#121—22no—
1382#121—22no—
1383#121—22no—
1384#121—22no—
1385#121—22no—
1386#121—21no—
1387#121—24no—
1388#121—24no—
1389#121—24no—
1390#121—24no—
1391#121—24no—
1392#121—24no—
1393#121—24no—
1394#121—24no—
1395#121—24no—
1396#121—22no—
1397#121—22no—
1398#121—22no—
1399#121—21no—
1400#121—21no—
1401#121—22no—
1402#121—22no—
1403#121—22no—
1404#121—22no—
1405#121—22no—
1406#121—22no—
1407#121—22no—
1408#121—22no—
1409#121—21no—
1410#121—24no—
1411#121—24no—
1412#121—22no—
1413#121—22no—
1414#121—21no—
1415#121—21no—
1416#121—22no—
1417#121—22no—
1418#121—22no—
1419#121—22no—
1420#121—22no—
1421#121—22no—
1422#121—21no—
1423#121—22no—
1424#121—24no—
1425#121—24no—
1426#121—24no—
1427#121—24no—
1428#121—24no—
1429#121—22no—
1430#121—24no—
1431#121—22no—
1432#121—24no—
1433#121—24no—
1434#121—24no—
1435#121—24no—
1436#121—24no—
1437#121—24no—
1438#121—22no—
1439#121—22no—
1440#121—22no—
1441#121—22no—
1442#121—24no—
1443#121—24no—
1444#121—24no—
1445#121—24no—
1446#121—22no—
1447#121—22no—
1448#121—24no—
1449#121—22no—
1450#121—24no—
1451#121—24no—
1452#121—24no—
1453#121—24no—
1454#121—24no—
1455#121—24no—
1456#121—24no—
1457#121C2×D414yes—
1458#121C2×D414yes—
1459#121C2×D412yes—
1460#121C2×D412yes—
1461#121C2×D412yes—
1462#121C2×D412yes—
1463#121C2412yes—
1464#121C2412yes—
1465#121C2414yes—
1466#121C2412yes—
1467#121C2414yes—
1468#121C2414yes—
1469#121C2414yes—
1470#121C2412yes—
1471#121C2412yes—
1472#121C2412yes—
1473#121C2412yes—
1474#121C2414yes—
1475#121C2414yes—
1476#121C2414yes—
1477#121C2412yes—
1478#121C2412yes—
1479#121C2412yes—
1480#120—24no—
1481#120—24no—
1482#120—24no—
1483#120—24no—
1484#120—24no—
1485#120—24no—
1486#120—24no—
1487#120—24no—
1488#120—24no—
1489#120—24no—
1490#120—24no—
1491#120—24no—
1492#120—24no—
1493#120—24no—
1494#120—24no—
1495#120—24no—
1496#120—24no—
1497#120—24no—
1498#120—24no—
1499#120—24no—
1500#120—24no—
1501#120—24no—
1502#120—24no—
1503#120—24no—
1504#120—24no—
1505#120C2×D414yes—
1506#120C2×D414yes—
1507C4×Q8—21no—
1508C4×Q8—21no—
1509C4×Q8—21no—
1510C4×Q8—21no—
1511C4×Q8—24no—
1512C4×Q8—24no—
1513C4×Q8—24no—
1514C4×Q8—24no—
1515C4×Q8—22no—
1516C4×Q8—22no—
1517C4×Q8—21no—
1518C4×Q8—22no—
1519C4×Q8—22no—
1520C4×Q8C2×D411yescharacteristic
1521C4×Q8C2×D411yescharacteristic
1522C4×Q8C2411yescharacteristic
1523C4×Q8C2412yes—
1524C4×Q8C2412yes—
1525C4×Q8C2412yes—
1526C4×Q8C2411yescharacteristic
1527C4×Q8C2411yescharacteristic
1528C4×Q8C2411yescharacteristic
1529C4×Q8C2412yes—
1530C4×Q8C2412yes—
1531C4×Q8C2412yes—
1532C4×Q8C2414yes—
1533C4×Q8C2414yes—
1534C4×Q8C2411yescharacteristic
1535C4×Q8C2411yescharacteristic
1536C4×D4—21no—
1537C4×D4—22no—
1538C4×D4—22no—
1539C4×D4—22no—
1540C4×D4—24no—
1541C4×D4—24no—
1542C4×D4—24no—
1543C4×D4—22no—
1544C4×D4—21no—
1545C4×D4—21no—
1546C4×D4—22no—
1547C4×D4—22no—
1548C4×D4—22no—
1549C4×D4—21no—
1550C4×D4—21no—
1551C4×D4—22no—
1552C4×D4—22no—
1553C4×D4—22no—
1554C4×D4—24no—
1555C4×D4—24no—
1556C4×D4—24no—
1557C4×D4—24no—
1558C4×D4—24no—
1559C4×D4—21no—
1560C4×D4—21no—
1561C4×D4—21no—
1562C4×D4—22no—
1563C4×D4—24no—
1564C4×D4—22no—
1565C4×D4—22no—
1566C4×D4—24no—
1567C4×D4—22no—
1568C4×D4—22no—
1569C4×D4—22no—
1570C4×D4—22no—
1571C4×D4—22no—
1572C4×D4—24no—
1573C4×D4—24no—
1574C4×D4—24no—
1575C4×D4—24no—
1576C4×D4—24no—
1577C4×D4—22no—
1578C4×D4—24no—
1579C4×D4—24no—
1580C4×D4—24no—
1581C4×D4—24no—
1582C4×D4—24no—
1583C4×D4—22no—
1584C4×D4—22no—
1585C4×D4—22no—
1586C4×D4—21no—
1587C4×D4—21no—
1588C4×D4—21no—
1589C4×D4—22no—
1590C4×D4—22no—
1591C4×D4—22no—
1592C4×D4—22no—
1593C4×D4—22no—
1594C4×D4—22no—
1595C4×D4—22no—
1596C4×D4—22no—
1597C4×D4C2×D412yes—
1598C4×D4C2×D412yes—
1599C4×D4C2×D412yes—
1600C4×D4C2×D414yes—
1601C4×D4C2×D414yes—
1602C4×D4C2×D412yes—
1603C4×D4C2×D411yescharacteristic
1604C4×D4C2×D412yes—
1605C4×D4C2×D411yescharacteristic
1606C4×D4C2×D412yes—
1607C4×D4C2411yescharacteristic
1608C4×D4C2411yescharacteristic
1609C4×D4C2412yes—
1610C4×D4C2412yes—
1611C4×D4C2412yes—
1612C4×D4C2411yescharacteristic
1613C4×D4C2411yescharacteristic
1614C4×D4C2412yes—
1615C4×D4C2412yes—
1616C4×D4C2412yes—
1617C4×D4C2414yes—
1618C4×D4C2414yes—
1619C4×D4C2411yescharacteristic
1620C4×D4C2411yescharacteristic
1621C4×D4C2414yes—
1622C4×D4C2414yes—
1623C4×D4C2412yes—
1624C4×D4C2412yes—
1625C4×D4C2412yes—
1626C4×D4C2412yes—
1627#117—21no—
1628#117—22no—
1629#117—22no—
1630#117—21no—
1631#117—21no—
1632#117—21no—
1633#117—21no—
1634#117—22no—
1635#117—22no—
1636#117—22no—
1637#117—22no—
1638#117—22no—
1639#117—22no—
1640#117—22no—
1641#117—24no—
1642#117—22no—
1643#117—24no—
1644#117—24no—
1645#117—22no—
1646#117—22no—
1647#117—22no—
1648#117—21no—
1649#117—21no—
1650#117—22no—
1651#117C2×D411yescharacteristic
1652#117C2×D411yescharacteristic
1653#117C2×D412yes—
1654#117C2×D412yes—
1655#117C2412yes—
1656#117C2412yes—
1657#117C2412yes—
1658#117C2411yescharacteristic
1659#117C2411yescharacteristic
1660#117C2414yes—
1661#117C2414yes—
1662C2×C4⋊C4—22no—
1663C2×C4⋊C4—21no—
1664C2×C4⋊C4—21no—
1665C2×C4⋊C4—22no—
1666C2×C4⋊C4—22no—
1667C2×C4⋊C4—22no—
1668C2×C4⋊C4—22no—
1669C2×C4⋊C4—22no—
1670C2×C4⋊C4—24no—
1671C2×C4⋊C4C2×D412yes—
1672C2×C4⋊C4C2×D412yes—
1673C2×C4⋊C4C2412yes—
1674C2×C4⋊C4C2414yes—
1675C2×C22⋊C4—24no—
1676C2×C22⋊C4—24no—
1677C2×C22⋊C4—24no—
1678C2×C22⋊C4—24no—
1679C2×C22⋊C4—24no—
1680C2×C22⋊C4—24no—
1681C2×C22⋊C4—24no—
1682C2×C22⋊C4C2×D414yes—
1683C2×C22⋊C4C2×D414yes—
1684C2×C42—22no—
1685C2×C42—22no—
1686C2×C42—22no—
1687C2×C42—22no—
1688C2×C42—21no—
1689C2×C42—21no—
1690C2×C42C2412yes—
1691C2×C42C2412yes—
1692C2×C42C2411yescharacteristic
1693#107C2411yescharacteristic
1694#107C2411yescharacteristic
1695#107C2412yes—
1696#107C2412yes—
1697#107C2414yes—
1698#107C2412yes—
1699#107C2412yes—
1700#107C2412yes—
1701#107C2412yes—
1702#106C2411yescharacteristic
1703#106C2411yescharacteristic
1704#106C2412yes—
1705#106C2412yes—
1706#106C2412yes—
1707#106C2412yes—
1708#106C2414yes—
1709#106C2412yes—
1710#106C2412yes—
1711C4⋊C8C2411yescharacteristic
1712C4⋊C8C2412yes—
1713C4⋊C8C2414yes—
1714C4⋊C8C2412yes—
1715C4⋊C8C2411yescharacteristic
1716C4⋊C8C2414yes—
1717C4⋊C8C2412yes—
1718C4⋊C8C2412yes—
1719C4⋊C8C2411yescharacteristic
1720C4⋊C8C2411yescharacteristic
1721C4⋊C8C2412yes—
1722C4⋊C8C2412yes—
1723#103C2412yes—
1724#103C2412yes—
1725#103C2414yes—
1726#103C2414yes—
1727#103C2411yescharacteristic
1728#103C2411yescharacteristic
1729#103C2412yes—
1730#103C2412yes—
1731#103C2412yes—
1732#103C2412yes—
1733#103C2414yes—
1734#103C2411yescharacteristic
1735#103C2414yes—
1736#103C2411yescharacteristic
1737#103C2414yes—
1738#103C2414yes—
1739#103C2414yes—
1740#103C2412yes—
1741#103C2412yes—
1742#102C2412yes—
1743#102C2412yes—
1744#102C2414yes—
1745#102C2414yes—
1746#102C2412yes—
1747#102C2412yes—
1748#102C2414yes—
1749#102C2414yes—
1750#102C2414yes—
1751#102C2412yes—
1752#102C2412yes—
1753#102C2411yescharacteristic
1754#102C2411yescharacteristic
1755#102C2412yes—
1756#102C2412yes—
1757#102C2411yescharacteristic
1758#102C2411yescharacteristic
1759#102C2414yes—
1760#102C2414yes—
1761#102C2412yes—
1762#102C2412yes—
1763#102C2412yes—
1764#102C2412yes—
1765#102C2412yes—
1766#102C2412yes—
1767#102C2412yes—
1768#102C2414yes—
1769#102C2412yes—
1770#102C2414yes—
1771C22⋊C8C2412yes—
1772C22⋊C8C2412yes—
1773C22⋊C8C2414yes—
1774C22⋊C8C2412yes—
1775C22⋊C8C2414yes—
1776C22⋊C8C2414yes—
1777C22⋊C8C2414yes—
1778C22⋊C8C2412yes—
1779C22⋊C8C2414yes—
1780C22⋊C8C2414yes—
1781C22⋊C8C2412yes—
1782C22⋊C8C2412yes—
1783#97C2412yes—
1784#97C2412yes—
1785#97C2414yes—
1786C4×C8C2411yescharacteristic
1787C4×C8C2411yescharacteristic
1788C4×C8C2412yes—
1789C4×C8C2411yescharacteristic
1790C4×C8C2411yescharacteristic
1791C4×C8C2412yes—
1792C4×C8C2412yes—
1793C4×C8C2412yes—
1794C4×C8C2414yes—
1795C24—24no—
1796C24—24no—
1797C24—24no—
1798C24—22no—
1799C24C22×D414yes—
1800#41—24no—
1801#41—24no—
1802#41—22no—
1803#41—22no—
1804#41—28no—
1805#41—24no—
1806#41—42no—
1807#41—42no—
1808#41—42no—
1809#41—42no—
1810#41—42no—
1811#41—44no—
1812#41—42no—
1813#41—42no—
1814#41—41no—
1815#41—41no—
1816#41—44no—
1817#41—44no—
1818#41—44no—
1819#41—44no—
1820#41—44no—
1821#41—44no—
1822#41—44no—
1823#41—44no—
1824#41—44no—
1825#41—44no—
1826#41—44no—
1827#41—84no—
1828#41—82no—
1829#41—84no—
1830#41—82no—
1831#41—84no—
1832#41—82no—
1833#41—84no—
1834#41—84no—
1835#41—84no—
1836#41—88no—
1837#41—88no—
1838#41—88no—
1839#41—88no—
1840#41—84no—
1841#41—88no—
1842#41—84no—
1843#41—88no—
1844#41—82no—
1845#41—82no—
1846#41—82no—
1847#41—84no—
1848C2×Q8—22no—
1849C2×Q8—24no—
1850C2×Q8—21no—
1851C2×Q8—21no—
1852C2×Q8—21no—
1853C2×Q8—22no—
1854C2×Q8—22no—
1855C2×Q8—22no—
1856C2×Q8—22no—
1857C2×Q8—21no—
1858C2×Q8—28no—
1859C2×Q8—24no—
1860C2×Q8—42no—
1861C2×Q8—44no—
1862C2×Q8—42no—
1863C2×Q8—42no—
1864C2×Q8—84no—
1865C2×Q8C22×D411yescharacteristic
1866C2×Q8C22×D411yescharacteristic
1867C2×Q8C22×D412yes—
1868C2×Q8C2512yes—
1869C2×Q8C2514yes—
1870C2×Q8C2511yescharacteristic
1871C2×Q8C2511yescharacteristic
1872C2×D4—24no—
1873C2×D4—22no—
1874C2×D4—21no—
1875C2×D4—22no—
1876C2×D4—22no—
1877C2×D4—24no—
1878C2×D4—22no—
1879C2×D4—21no—
1880C2×D4—22no—
1881C2×D4—22no—
1882C2×D4—24no—
1883C2×D4—24no—
1884C2×D4—24no—
1885C2×D4—22no—
1886C2×D4—22no—
1887C2×D4—22no—
1888C2×D4—22no—
1889C2×D4—24no—
1890C2×D4—24no—
1891C2×D4—24no—
1892C2×D4—22no—
1893C2×D4—22no—
1894C2×D4—24no—
1895C2×D4—24no—
1896C2×D4—24no—
1897C2×D4—24no—
1898C2×D4—24no—
1899C2×D4—22no—
1900C2×D4—21no—
1901C2×D4—21no—
1902C2×D4—22no—
1903C2×D4—21no—
1904C2×D4—22no—
1905C2×D4—22no—
1906C2×D4—21no—
1907C2×D4—21no—
1908C2×D4—22no—
1909C2×D4—24no—
1910C2×D4—22no—
1911C2×D4—22no—
1912C2×D4—22no—
1913C2×D4—22no—
1914C2×D4—24no—
1915C2×D4—24no—
1916C2×D4—22no—
1917C2×D4—24no—
1918C2×D4—22no—
1919C2×D4—22no—
1920C2×D4—24no—
1921C2×D4—21no—
1922C2×D4—44no—
1923C2×D4—44no—
1924C2×D4—44no—
1925C2×D4—44no—
1926C2×D4—42no—
1927C2×D4—44no—
1928C2×D4—42no—
1929C2×D4—44no—
1930C2×D4—44no—
1931C2×D4—44no—
1932C2×D4—48no—
1933C2×D4—84no—
1934C2×D4—82no—
1935C2×D4—82no—
1936C2×D4—84no—
1937C2×D4—84no—
1938C2×D4—84no—
1939C2×D4—84no—
1940C2×D4—88no—
1941C2×D4—84no—
1942C2×D4—88no—
1943C2×D4—88no—
1944C2×D4—84no—
1945C2×D4—88no—
1946C2×D4—88no—
1947C2×D4—88no—
1948C2×D4—88no—
1949C2×D4C22×D412yes—
1950C2×D4C22×D411yescharacteristic
1951C2×D4C22×D412yes—
1952C2×D4C22×D411yescharacteristic
1953C2×D4C22×D412yes—
1954C2×D4C22×D414yes—
1955C2×D4C22×D414yes—
1956C2×D4C22×D412yes—
1957C2×D4C22×D412yes—
1958C2×D4C22×D414yes—
1959C2×D4C2512yes—
1960C2×D4C2512yes—
1961C2×D4C2511yescharacteristic
1962C2×D4C2514yes—
1963C2×D4C2511yescharacteristic
1964C2×D4C2512yes—
1965C22×C4—22no—
1966C22×C4—22no—
1967C22×C4—24no—
1968C22×C4—24no—
1969C22×C4—22no—
1970C22×C4—21no—
1971C22×C4—21no—
1972C22×C4—22no—
1973C22×C4—22no—
1974C22×C4—22no—
1975C22×C4—21no—
1976C22×C4—22no—
1977C22×C4—21no—
1978C22×C4—22no—
1979C22×C4—22no—
1980C22×C4—21no—
1981C22×C4—21no—
1982C22×C4—24no—
1983C22×C4—22no—
1984C22×C4—22no—
1985C22×C4—22no—
1986C22×C4—24no—
1987C22×C4—24no—
1988C22×C4—24no—
1989C22×C4—24no—
1990C22×C4—24no—
1991C22×C4—24no—
1992C22×C4—24no—
1993C22×C4—44no—
1994C22×C4—44no—
1995C22×C4—88no—
1996C22×C4—88no—
1997C22×C4C22×D412yes—
1998C22×C4C22×D411yescharacteristic
1999C22×C4C22×D411yescharacteristic
2000C22×C4C22×D412yes—
2001C22×C4C22×D412yes—
2002C22×C4C22×D412yes—
2003C22×C4C22×D414yes—
2004C22×C4C22×D414yes—
2005C22×C4C22×D414yes—
2006C22×C4C2512yes—
2007C22×C4C2512yes—
2008C22×C4C2511yescharacteristic
2009C22×C4C2514yes—
2010Q16—28no—
2011Q16—24no—
2012Q16—44no—
2013Q16—44no—
2014Q16H(5,𝔽2)14yescomplemented
2015SD16—22no—
2016SD16—28no—
2017SD16—22no—
2018SD16—24no—
2019SD16—24no—
2020SD16—24no—
2021SD16—28no—
2022SD16—24no—
2023SD16—44no—
2024SD16—44no—
2025SD16—44no—
2026SD16—44no—
2027SD16—44no—
2028SD16—44no—
2029SD16—42no—
2030SD16—42no—
2031SD16—44no—
2032D8—22no—
2033D8—24no—
2034D8—42no—
2035D8—42no—
2036D8—44no—
2037D8—44no—
2038D8—44no—
2039D8—44no—
2040D8—44no—
2041D8—44no—
2042D8—42no—
2043D8—42no—
2044M16—24no—
2045M16—28no—
2046M16—44no—
2047M16—44no—
2048M16—42no—
2049M16—42no—
2050C2×C8—24no—
2051C2×C8—22no—
2052C2×C8—44no—
2053C2×C8—44no—
2054C2×C8—44no—
2055C2×C8—41no—
2056C2×C8—42no—
2057C2×C8C2511yescharacteristic
2058C2×C8C2512yes—
2059C2×C8C2511yescharacteristic
2060C2×C8C2511yescharacteristic
2061C2×C8C2512yes—
2062C2×C8C2512yes—
2063C2×C8C2512yes—
2064C2×C8C2514yes—
2065C2×C8C2511yescharacteristic
2066C4⋊C4—22no—
2067C4⋊C4—22no—
2068C4⋊C4—22no—
2069C4⋊C4—21no—
2070C4⋊C4—22no—
2071C4⋊C4—21no—
2072C4⋊C4—24no—
2073C4⋊C4—24no—
2074C4⋊C4—24no—
2075C4⋊C4—24no—
2076C4⋊C4—22no—
2077C4⋊C4—22no—
2078C4⋊C4—24no—
2079C4⋊C4—24no—
2080C4⋊C4—22no—
2081C4⋊C4—22no—
2082C4⋊C4—22no—
2083C4⋊C4—21no—
2084C4⋊C4—21no—
2085C4⋊C4—21no—
2086C4⋊C4—21no—
2087C4⋊C4—21no—
2088C4⋊C4—22no—
2089C4⋊C4—22no—
2090C4⋊C4—21no—
2091C4⋊C4—21no—
2092C4⋊C4—22no—
2093C4⋊C4—21no—
2094C4⋊C4—22no—
2095C4⋊C4—22no—
2096C4⋊C4—22no—
2097C4⋊C4—22no—
2098C4⋊C4—22no—
2099C4⋊C4—22no—
2100C4⋊C4—24no—
2101C4⋊C4—24no—
2102C4⋊C4C22×D411yescharacteristic
2103C4⋊C4C22×D411yescharacteristic
2104C4⋊C4C22×D412yes—
2105C4⋊C4C22×D412yes—
2106C4⋊C4C22×D414yes—
2107C4⋊C4C22×D414yes—
2108C4⋊C4C22×D414yes—
2109C4⋊C4C22×D411yescharacteristic
2110C4⋊C4C22×D411yescharacteristic
2111C4⋊C4C22×D412yes—
2112C4⋊C4C22×D412yes—
2113C4⋊C4C22×D414yes—
2114C4⋊C4C22×D412yes—
2115C4⋊C4C22×D412yes—
2116C4⋊C4C2511yescharacteristic
2117C4⋊C4C2512yes—
2118C4⋊C4C2511yescharacteristic
2119C4⋊C4C2512yes—
2120C4⋊C4C2512yes—
2121C4⋊C4C2512yes—
2122C4⋊C4C2511yescharacteristic
2123C4⋊C4C2511yescharacteristic
2124C22⋊C4—22no—
2125C22⋊C4—22no—
2126C22⋊C4—24no—
2127C22⋊C4—24no—
2128C22⋊C4—24no—
2129C22⋊C4—24no—
2130C22⋊C4—24no—
2131C22⋊C4—24no—
2132C22⋊C4—21no—
2133C22⋊C4—22no—
2134C22⋊C4—22no—
2135C22⋊C4—22no—
2136C22⋊C4—21no—
2137C22⋊C4—22no—
2138C22⋊C4—24no—
2139C22⋊C4—22no—
2140C22⋊C4—22no—
2141C22⋊C4—22no—
2142C22⋊C4—22no—
2143C22⋊C4—22no—
2144C22⋊C4—24no—
2145C22⋊C4—24no—
2146C22⋊C4—24no—
2147C22⋊C4—24no—
2148C22⋊C4—24no—
2149C22⋊C4—24no—
2150C22⋊C4—24no—
2151C22⋊C4—24no—
2152C22⋊C4—22no—
2153C22⋊C4—22no—
2154C22⋊C4—22no—
2155C22⋊C4—22no—
2156C22⋊C4—24no—
2157C22⋊C4—24no—
2158C22⋊C4—24no—
2159C22⋊C4—24no—
2160C22⋊C4—22no—
2161C22⋊C4—22no—
2162C22⋊C4—21no—
2163C22⋊C4—21no—
2164C22⋊C4—24no—
2165C22⋊C4—24no—
2166C22⋊C4—22no—
2167C22⋊C4—22no—
2168C22⋊C4—22no—
2169C22⋊C4—22no—
2170C22⋊C4—22no—
2171C22⋊C4—22no—
2172C22⋊C4—21no—
2173C22⋊C4—21no—
2174C22⋊C4C22×D414yes—
2175C22⋊C4C22×D412yes—
2176C22⋊C4C22×D414yes—
2177C22⋊C4C22×D414yes—
2178C22⋊C4C22×D412yes—
2179C22⋊C4C22×D412yes—
2180C22⋊C4C22×D414yes—
2181C22⋊C4C22×D414yes—
2182C22⋊C4C22×D414yes—
2183C22⋊C4C22×D412yes—
2184C22⋊C4C22×D414yes—
2185C22⋊C4C22×D414yes—
2186C22⋊C4C22×D412yes—
2187C22⋊C4C22×D412yes—
2188C42—21no—
2189C42—21no—
2190C42—21no—
2191C42—21no—
2192C42—21no—
2193C42—21no—
2194C42—22no—
2195C42—22no—
2196C42—22no—
2197C42—22no—
2198C42—22no—
2199C42—22no—
2200C42—22no—
2201C42—22no—
2202C42—22no—
2203C42—24no—
2204C42—24no—
2205C42—24no—
2206C42C22×D412yes—
2207C42C22×D411yescharacteristic
2208C42C22×D412yes—
2209C42C22×D411yescharacteristic
2210C42C22×D412yes—
2211C42C22×D412yes—
2212C42C2511yescharacteristic
2213C42C2511yescharacteristic
2214C42C2512yes—
2215C42C2512yes—
2216C23—22no—
2217C23—22no—
2218C23—21no—
2219C23—24no—
2220C23—21no—
2221C23—22no—
2222C23—44no—
2223C23—44no—
2224C23—44no—
2225C23—48no—
2226C23—84no—
2227C23—84no—
2228C23—84no—
2229C23—84no—
2230C23—84no—
2231C23—84no—
2232C23—82no—
2233C23—82no—
2234C23—84no—
2235C23—82no—
2236C23—84no—
2237C23C23×D414yes—
2238C23C23×D412yes—
2239C23C23×D411yescharacteristic
2240C23C23×D412yes—
2241Q8—22no—
2242Q8—22no—
2243Q8—21no—
2244Q8—21no—
2245Q8—24no—
2246Q8—22no—
2247Q8—24no—
2248Q8—22no—
2249Q8—42no—
2250Q8—48no—
2251Q8—44no—
2252Q8—42no—
2253Q8—82no—
2254Q8—81no—
2255Q8—82no—
2256Q8—81no—
2257Q8—82no—
2258Q8—81no—
2259Q8—82no—
2260Q8C2×H(5,𝔽2)12yes—
2261Q8C2×H(5,𝔽2)12yes—
2262D4—22no—
2263D4—24no—
2264D4—22no—
2265D4—24no—
2266D4—21no—
2267D4—22no—
2268D4—22no—
2269D4—21no—
2270D4—22no—
2271D4—24no—
2272D4—21no—
2273D4—22no—
2274D4—22no—
2275D4—24no—
2276D4—22no—
2277D4—21no—
2278D4—44no—
2279D4—44no—
2280D4—42no—
2281D4—44no—
2282D4—42no—
2283D4—42no—
2284D4—42no—
2285D4—48no—
2286D4—44no—
2287D4—44no—
2288D4—44no—
2289D4—42no—
2290D4—48no—
2291D4—44no—
2292D4—44no—
2293D4—42no—
2294D4—42no—
2295D4—44no—
2296D4—42no—
2297D4—84no—
2298D4—82no—
2299D4—84no—
2300D4—84no—
2301D4—82no—
2302D4—84no—
2303D4—81no—
2304D4—82no—
2305D4—82no—
2306D4—84no—
2307D4—81no—
2308D4—82no—
2309D4—82no—
2310D4—82no—
2311D4—81no—
2312D4—82no—
2313D4—82no—
2314D4—84no—
2315D4—84no—
2316D4—84no—
2317D4—82no—
2318D4—84no—
2319D4—82no—
2320D4—82no—
2321D4—84no—
2322D4—84no—
2323D4—84no—
2324D4—84no—
2325D4—84no—
2326D4—84no—
2327D4—84no—
2328D4—82no—
2329D4—82no—
2330D4—82no—
2331D4—82no—
2332D4—82no—
2333D4—82no—
2334C2×C4—21no—
2335C2×C4—21no—
2336C2×C4—24no—
2337C2×C4—22no—
2338C2×C4—24no—
2339C2×C4—22no—
2340C2×C4—22no—
2341C2×C4—21no—
2342C2×C4—24no—
2343C2×C4—22no—
2344C2×C4—22no—
2345C2×C4—24no—
2346C2×C4—21no—
2347C2×C4—22no—
2348C2×C4—22no—
2349C2×C4—22no—
2350C2×C4—21no—
2351C2×C4—21no—
2352C2×C4—21no—
2353C2×C4—21no—
2354C2×C4—22no—
2355C2×C4—22no—
2356C2×C4—24no—
2357C2×C4—22no—
2358C2×C4—44no—
2359C2×C4—44no—
2360C2×C4—44no—
2361C2×C4—42no—
2362C2×C4—42no—
2363C2×C4—44no—
2364C2×C4—44no—
2365C2×C4—44no—
2366C2×C4—48no—
2367C2×C4—42no—
2368C2×C4—42no—
2369C2×C4—44no—
2370C2×C4—48no—
2371C2×C4—44no—
2372C2×C4—42no—
2373C2×C4—44no—
2374C2×C4—42no—
2375C2×C4—44no—
2376C2×C4—42no—
2377C2×C4—44no—
2378C2×C4—42no—
2379C2×C4—84no—
2380C2×C4—84no—
2381C2×C4—84no—
2382C2×C4—84no—
2383C2×C4—84no—
2384C2×C4—84no—
2385C2×C4—84no—
2386C2×C4—82no—
2387C2×C4—82no—
2388C2×C4—82no—
2389C2×C4—84no—
2390C2×C4—82no—
2391C2×C4C23×D412yes—
2392C2×C4C23×D412yes—
2393C2×C4C23×D411yescharacteristic
2394C2×C4C23×D412yes—
2395C2×C4C23×D412yes—
2396C2×C4C23×D412yes—
2397C2×C4C23×D412yes—
2398C2×C4C23×D414yes—
2399C2×C4C23×D411yescharacteristic
2400C2×C4C23×D411yescharacteristic
2401C2×C4C23×D411yescharacteristic
2402C2×C4C23×D411yescharacteristic
2403C2×C4C2611yescharacteristic
2404C8—21no—
2405C8—22no—
2406C8—22no—
2407C8—24no—
2408C8—22no—
2409C8—21no—
2410C8—22no—
2411C8—21no—
2412C8C2×H(5,𝔽2)12yes—
2413C22—22no—
2414C22—24no—
2415C22—22no—
2416C22—21no—
2417C22—21no—
2418C22—22no—
2419C22—22no—
2420C22—24no—
2421C22—21no—
2422C22—22no—
2423C22—22no—
2424C22—24no—
2425C22—41no—
2426C22—42no—
2427C22—42no—
2428C22—42no—
2429C22—44no—
2430C22—41no—
2431C22—41no—
2432C22—42no—
2433C22—41no—
2434C22—42no—
2435C22—42no—
2436C22—44no—
2437C22—41no—
2438C22—42no—
2439C22—41no—
2440C22—42no—
2441C22—44no—
2442C22—42no—
2443C22—164no—
2444C22—168no—
2445C22—168no—
2446C22—324no—
2447C22—322no—
2448C22C24×D411yescharacteristic
2449C4—22no—
2450C4—22no—
2451C4—24no—
2452C4—21no—
2453C4—22no—
2454C4—22no—
2455C4—21no—
2456C4—22no—
2457C4—22no—
2458C4—21no—
2459C4—22no—
2460C4—22no—
2461C4—42no—
2462C4—44no—
2463C4—41no—
2464C4—41no—
2465C4—42no—
2466C4—41no—
2467C4—42no—
2468C4—42no—
2469C4—41no—
2470C4—42no—
2471C4#358412yes—
2472C4#358512yes—
2473C4C22×H(5,𝔽2)11yescharacteristic
2474C4H(7,𝔽2)11yescharacteristic
2475C2—42no—
2476C2—42no—
2477C2—44no—
2478C2—41no—
2479C2—81no—
2480C2—82no—
2481C2—82no—
2482C2—82no—
2483C2—84no—
2484C2—81no—
2485C2D4×H(5,𝔽2)11yescharacteristic
2486C2C2×#358411yescharacteristic
2487C2C2×#358511yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3481 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #63022C2semidirect
2. #63014C2semidirect
3. #62463C2semidirect
4. #62440C2semidirect
5. #62421C2semidirect
6. #62414C2semidirect
7. #62342C2semidirect
8. #62310C2semidirect
9. #62304C2semidirect
10. #62259C2semidirect
11. #62074C2semidirect
12. #62071C2semidirect
13. #62045C2semidirect
14. #62035C2semidirect
15. #62001C2semidirect
16. #61998C2semidirect
17. #61988C2semidirect
18. #61987C2semidirect
19. #61667C2semidirect
20. #61661C2semidirect
21. #61625C2semidirect
22. #61616C2semidirect
23. #61599C2semidirect
24. #61598C2semidirect
25. #61567C2semidirect
26. #61566C2semidirect
27. #61558C2semidirect
28. #61495C2semidirect
29. #61450C2semidirect
30. #61436C2semidirect
31. #61087C2semidirect
32. #61077C2semidirect
33. #61070C2semidirect
34. #61038C2semidirect
35. #60323C2semidirect
36. C2×#577C22semidirect
37. C2×#575C22semidirect
39. #3549C22semidirect
45. #3546C22semidirect
46. #3546C22semidirect
47. #3546C22semidirect
49. #3543C22semidirect
51. #3542C22semidirect
53. #3540C22semidirect
54. #3522C22semidirect
56. #3519C22semidirect
57. #3518C22semidirect
58. #3518C22semidirect
59. #3517C22semidirect
62. #3511C22semidirect
63. #3511C22semidirect
65. #3508C22semidirect
68. #3506C22semidirect
69. #3506C22semidirect
70. #3499C22semidirect
73. #3498C22semidirect
75. #3496C22semidirect
76. #3488C22semidirect
77. #3487C22semidirect
78. #3483C22semidirect
79. #3483C22semidirect
80. #3483C22semidirect
81. #3482C22semidirect
85. D4×#41C22semidirect
86. D4×#41C22semidirect
87. D4×#41C22semidirect
88. C2×#550C22semidirect
89. #3399C22semidirect
90. #3397C22semidirect
91. #3397C22semidirect
92. #3397C22semidirect
93. #3397C22semidirect
94. #3394C22semidirect
95. #3394C22semidirect
96. #3393C22semidirect
97. #3391C22semidirect
98. #3391C22semidirect
99. #3387C22semidirect
100. Q8×Q16C22semidirect
101. #3375C22semidirect
102. #3369C22semidirect
103. #3369C22semidirect
104. #3368C22semidirect
105. #3364C22semidirect
106. #3362C22semidirect
107. #3362C22semidirect
108. #3362C22semidirect
109. #3357C22semidirect
110. #3354C22semidirect
111. #3354C22semidirect
112. #3353C22semidirect
113. #3350C22semidirect
114. #3348C22semidirect
115. #3341C22semidirect
116. #3341C22semidirect
117. #3332C22semidirect
118. #3332C22semidirect
119. #3331C22semidirect
120. #3330C22semidirect
121. #3330C22semidirect
122. #3329C22semidirect
123. #3327C22semidirect
124. #3325C22semidirect
125. #3325C22semidirect
126. #3325C22semidirect
127. #3325C22semidirect
128. #3324C22semidirect
129. #3321C22semidirect
130. #3321C22semidirect
131. #3319C22semidirect
132. #3317C22semidirect
133. #3313C22semidirect
134. #3311C22semidirect
135. #3311C22semidirect
136. #3309C22semidirect
137. #3308C22semidirect
138. #3306C22semidirect
139. #3305C22semidirect
140. #3305C22semidirect
141. #3305C22semidirect
142. #3305C22semidirect
143. #3305C22semidirect
144. #3305C22semidirect
145. #3305C22semidirect
146. #3305C22semidirect
147. #3304C22semidirect
148. #3304C22semidirect
149. #3303C22semidirect
150. #3303C22semidirect
151. #3301C22semidirect
152. #3299C22semidirect
153. #3298C22semidirect
154. #3297C22semidirect
155. #3295C22semidirect
156. #3294C22semidirect
157. #3287C22semidirect
158. #3287C22semidirect
159. #3287C22semidirect
160. #3287C22semidirect
161. #3287C22semidirect
162. #3284C22semidirect
163. #3284C22semidirect
164. #3284C22semidirect
165. #3284C22semidirect
166. #3284C22semidirect
167. #3284C22semidirect
168. #3283C22semidirect
169. #3282C22semidirect
170. #3282C22semidirect
171. #3282C22semidirect
172. D4×SD16C22semidirect
173. D4×SD16C22semidirect
174. #3280C22semidirect
175. D4×D8C22semidirect
176. D4×D8C22semidirect
177. #3278C22semidirect
178. #3278C22semidirect
179. #3278C22semidirect
180. #3278C22semidirect
181. #3277C22semidirect
182. #3277C22semidirect
183. #3276C22semidirect
184. #3276C22semidirect
185. #3275C22semidirect
186. #3275C22semidirect
187. #3274C22semidirect
188. #3274C22semidirect
189. #3274C22semidirect
190. #3274C22semidirect
191. #3274C22semidirect
192. #3274C22semidirect
193. #3273C22semidirect
194. #3272C22semidirect
195. #3272C22semidirect
196. #3272C22semidirect
197. #3272C22semidirect
198. #3272C22semidirect
199. #3271C22semidirect
200. #3271C22semidirect
201. #3271C22semidirect
202. #3271C22semidirect
203. #3271C22semidirect
204. #3268C22semidirect
205. #3268C22semidirect
206. #3268C22semidirect
207. #3268C22semidirect
208. #3268C22semidirect
209. #3265C22semidirect
210. #3265C22semidirect
211. #3265C22semidirect
212. #3264C22semidirect
213. #3263C22semidirect
214. #3257C22semidirect
215. #3254C22semidirect
216. #3253C22semidirect
217. #3253C22semidirect
218. #3252C22semidirect
219. #3246C22semidirect
220. #3245C22semidirect
221. #3224C22semidirect
222. #3224C22semidirect
223. #3224C22semidirect
224. #3220C22semidirect
225. #3214C22semidirect
226. #3214C22semidirect
227. #3212C22semidirect
228. #3210C22semidirect
229. #3209C22semidirect
230. #3208C22semidirect
231. #3207C22semidirect
232. #3207C22semidirect
233. #3206C22semidirect
234. #3205C22semidirect
235. #3205C22semidirect
236. #3205C22semidirect
237. #3201C22semidirect
238. #3199C22semidirect
239. #3198C22semidirect
240. #3197C22semidirect
241. #3194C22semidirect
242. #3191C22semidirect
243. #3188C22semidirect
244. #3188C22semidirect
245. #3188C22semidirect
246. #3182C22semidirect
247. #3179C22semidirect
248. #3175C22semidirect
249. #3171C22semidirect
250. #3169C22semidirect
251. #3169C22semidirect
252. #3167C22semidirect
253. #3167C22semidirect
254. #3155C22semidirect
255. #3151C22semidirect
256. #3147C22semidirect
257. C2×#492C22semidirect
258. #3126C22semidirect
259. #3125C22semidirect
260. #3124C22semidirect
261. #3121C22semidirect
262. #3116C22semidirect
263. #3115C22semidirect
264. #3107C22semidirect
265. #3106C22semidirect
266. #3106C22semidirect
267. #3106C22semidirect
268. #3106C22semidirect
269. #3106C22semidirect
270. #3106C22semidirect
271. #3104C22semidirect
272. #3103C22semidirect
273. #3102C22semidirect
274. #3062C22semidirect
275. #3057C22semidirect
276. #3055C22semidirect
277. #3055C22semidirect
278. #3054C22semidirect
279. #3045C22semidirect
280. #3043C22semidirect
281. #3039C22semidirect
282. #3038C22semidirect
283. #3038C22semidirect
284. #3037C22semidirect
285. #3035C22semidirect
286. #3035C22semidirect
287. #3013C22semidirect
288. #3010C22semidirect
289. #3009C22semidirect
290. #3008C22semidirect
291. #3006C22semidirect
292. #3005C22semidirect
293. #3002C22semidirect
294. #3002C22semidirect
295. #3002C22semidirect
296. C2×#449C22semidirect
297. #2994C22semidirect
298. #2993C22semidirect
299. #2991C22semidirect
300. #2990C22semidirect
301. #2979C22semidirect
302. #2976C22semidirect
303. #2974C22semidirect
304. #2972C22semidirect
305. #2969C22semidirect
306. #2966C22semidirect
307. #2965C22semidirect
308. C8×#41C22semidirect
309. #2947C22semidirect
310. C4×#137C22semidirect
311. C4×#135C22semidirect
312. C4×#135C22semidirect
313. D4×M16C22semidirect
314. #2933C22semidirect
315. #2931C22semidirect
316. C2×#436C22semidirect
2014. Q16H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#630222
#630142
#624632
#624402
#624212
#624142
#623422
#623102
#623042
#622592
#620742
#620712
#620452
#620352
#620012
#619982
#619882
#619872
#616672
#616612
#616252
#616162
#615992
#615982
#615672
#615662
#615582
#614952
#614502
#614362
#610872
#610772
#610702
#610382
#603232