Finite Group Databasebeta

← #10583279

Subgroups — #10583279

Order 512.

6704 conjugacy classes of subgroups.

The subgroup lattice has 2481 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#63021C211yesmaximal, characteristic, complemented
2#63014C211yesmaximal, characteristic, complemented
3#62465C212yesmaximal, complemented
4#62438C212yesmaximal, complemented
5#62423C211yesmaximal, characteristic, complemented
6#62417C211yesmaximal, characteristic, complemented
7#62343C211yesmaximal, characteristic, complemented
8#62318C214yesmaximal, complemented
9#62305C212yesmaximal, complemented
10#62259C212yesmaximal, complemented
11#62073C212yesmaximal, complemented
12#62067C212yesmaximal, complemented
13#62046C212yesmaximal, complemented
14#62031C212yesmaximal, complemented
15#61999C211yesmaximal, characteristic, complemented
16#61997C211yesmaximal, characteristic, complemented
17#61988C211yesmaximal, characteristic, complemented
18#61986C211yesmaximal, characteristic, complemented
19#61668C211yesmaximal, characteristic, complemented
20#61662C211yesmaximal, characteristic, complemented
21#61625C214yesmaximal, complemented
22#61614C214yesmaximal, complemented
23#61608C212yesmaximal, complemented
24#61598C212yesmaximal, complemented
25#61567C212yesmaximal, complemented
26#61566C212yesmaximal, complemented
27#61554C212yesmaximal, complemented
28#61494C212yesmaximal, complemented
29#61447C211yesmaximal, characteristic, complemented
30#61434C211yesmaximal, characteristic, complemented
31#61089C211yesmaximal, characteristic, complemented
32#61074C214yesmaximal, complemented
33#61070C212yesmaximal, complemented
34#61038C212yesmaximal, complemented
35#60323C211yesmaximal, characteristic, complemented
36C2×#576C2212yescomplemented
37C2×#575C2214yescomplemented
38#3558—22no—
39#3558—22no—
40#3554C2212yescomplemented
41#3554C2212yescomplemented
42#3550C2211yescharacteristic, complemented
43#3548—21no—
44#3548C2211yescharacteristic
45#3546—22no—
46#3546C2212yescomplemented
47#3543—22no—
48#3543—21no—
49#3543C2212yescomplemented
50#3542—24no—
51#3542C2214yescomplemented
52#3540C2214yescomplemented
53#3533—24no—
54#3522—21no—
55#3522—21no—
56#3522C2212yescomplemented
57#3519—22no—
58#3519C2212yescomplemented
59#3517C2212yescomplemented
60#3514C2212yescomplemented
61#3514C2212yescomplemented
62#3513—22no—
63#3513—22no—
64#3508—21no—
65#3508C2211yescharacteristic, complemented
66#3508C2211yescharacteristic, complemented
67#3508C2211yescharacteristic, complemented
68#3506C2212yescomplemented
69#3506C2212yescomplemented
70#3498—21no—
71#3498C2211yescharacteristic
72#3498C2211yescharacteristic, complemented
73#3498C2211yescharacteristic, complemented
74#3496—22no—
75#3496C2212yescomplemented
76#3488C2214yescomplemented
77#3485C2214yescomplemented
78#3483C2211yescharacteristic, complemented
79#3482C2211yescharacteristic, complemented
80#3482C2211yescharacteristic, complemented
81#3482C2211yescharacteristic, complemented
82#3481—21no—
83#3481C2211yescharacteristic
84C2×#559—21no—
85D4×#41C2212yescomplemented
86D4×#41C2212yescomplemented
87D4×#41C2212yescomplemented
88C2×#550C2212yescomplemented
89#3400C2212yescomplemented
90#3399C2212yescomplemented
91#3399C2212yescomplemented
92#3399C2212yescomplemented
93#3398C2211yescharacteristic, complemented
94#3396C2212yescomplemented
95#3396C2212yescomplemented
96#3394C2212yescomplemented
97#3392C2211yescharacteristic, complemented
98#3392C2212yescomplemented
99#3386C2211yescharacteristic, complemented
100Q8×SD16C2211yescharacteristic, complemented
101#3375C2212yescomplemented
102#3374C2211yescharacteristic, complemented
103#3373C2212yescomplemented
104#3367C2211yescharacteristic, complemented
105#3365C2212yescomplemented
106#3363C2211yescharacteristic, complemented
107#3358C2212yescomplemented
108#3358C2211yescharacteristic, complemented
109#3356C2212yescomplemented
110#3354C2214yescomplemented
111#3353C2211yescharacteristic, complemented
112#3353C2212yescomplemented
113#3349C2212yescomplemented
114#3347C2214yescomplemented
115#3340C2211yescharacteristic, complemented
116#3340C2212yescomplemented
117#3333C2212yescomplemented
118#3332C2212yescomplemented
119#3332C2212yescomplemented
120#3330C2211yescharacteristic, complemented
121#3330C2214yescomplemented
122#3328C2211yescharacteristic, complemented
123#3325C2214yescomplemented
124#3324C2212yescomplemented
125#3324C2214yescomplemented
126#3324C2212yescomplemented
127#3324C2212yescomplemented
128#3323C2214yescomplemented
129#3321C2214yescomplemented
130#3319C2214yescomplemented
131#3319C2214yescomplemented
132#3319C2214yescomplemented
133#3315C2212yescomplemented
134#3313C2212yescomplemented
135#3311C2214yescomplemented
136#3308C2214yescomplemented
137#3307C2214yescomplemented
138#3306C2214yescomplemented
139#3305C2212yescomplemented
140#3305C2214yescomplemented
141#3305C2214yescomplemented
142#3304C2212yescomplemented
143#3304C2212yescomplemented
144#3304C2212yescomplemented
145#3304C2212yescomplemented
146#3304C2211yescharacteristic, complemented
147#3304C2212yescomplemented
148#3303C2211yescharacteristic, complemented
149#3303C2212yescomplemented
150#3302C2212yescomplemented
151#3301C2214yescomplemented
152#3299C2212yescomplemented
153#3298C2212yescomplemented
154#3297C2214yescomplemented
155#3295C2212yescomplemented
156#3294C2212yescomplemented
157#3287C2212yescomplemented
158#3287C2212yescomplemented
159#3287C2212yescomplemented
160#3287C2212yescomplemented
161#3287C2212yescomplemented
162#3287C2212yescomplemented
163#3284C2212yescomplemented
164#3284C2214yescomplemented
165#3284C2214yescomplemented
166#3284C2211yescharacteristic, complemented
167#3284C2212yescomplemented
168#3284C2212yescomplemented
169#3282C2214yescomplemented
170D4×SD16C2212yescomplemented
171D4×SD16C2212yescomplemented
172#3280C2214yescomplemented
173#3280C2214yescomplemented
174#3280C2214yescomplemented
175D4×D8C2212yescomplemented
176D4×D8C2212yescomplemented
177#3278C2212yescomplemented
178#3278C2212yescomplemented
179#3278C2212yescomplemented
180#3278C2212yescomplemented
181#3277C2214yescomplemented
182#3276C2211yescharacteristic, complemented
183#3276C2212yescomplemented
184#3275C2214yescomplemented
185#3275C2214yescomplemented
186#3275C2214yescomplemented
187#3274C2212yescomplemented
188#3274C2212yescomplemented
189#3274C2212yescomplemented
190#3274C2212yescomplemented
191#3274C2212yescomplemented
192#3274C2212yescomplemented
193#3274C2212yescomplemented
194#3273C2214yescomplemented
195#3272C2214yescomplemented
196#3272C2212yescomplemented
197#3272C2214yescomplemented
198#3272C2212yescomplemented
199#3271C2214yescomplemented
200#3271C2214yescomplemented
201#3269C2212yescomplemented
202#3269C2214yescomplemented
203#3268C2214yescomplemented
204#3268C2214yescomplemented
205#3268C2214yescomplemented
206#3267C2214yescomplemented
207#3267C2214yescomplemented
208#3267C2214yescomplemented
209#3265C2214yescomplemented
210#3264C2214yescomplemented
211#3264C2214yescomplemented
212#3264C2214yescomplemented
213#3262C2214yescomplemented
214#3257C2214yescomplemented
215#3255C2211yescharacteristic, complemented
216#3254C2211yescharacteristic, complemented
217#3254C2212yescomplemented
218#3251C2212yescomplemented
219#3246C2212yescomplemented
220#3245C2212yescomplemented
221#3225C2214yescomplemented
222#3224C2214yescomplemented
223#3224C2214yescomplemented
224#3221C2214yescomplemented
225#3216C2212yescomplemented
226#3214C2212yescomplemented
227#3212C2212yescomplemented
228#3208C2212yescomplemented
229#3208C2211yescharacteristic, complemented
230#3208C2211yescharacteristic, complemented
231#3208C2211yescharacteristic, complemented
232#3207C2212yescomplemented
233#3207C2212yescomplemented
234#3207C2212yescomplemented
235#3205C2211yescharacteristic, complemented
236#3205C2212yescomplemented
237#3201C2214yescomplemented
238#3200C2214yescomplemented
239#3198C2214yescomplemented
240#3197C2214yescomplemented
241#3194C2214yescomplemented
242#3191C2214yescomplemented
243#3188C2214yescomplemented
244#3188C2214yescomplemented
245#3188C2214yescomplemented
246#3184C2212yescomplemented
247#3179C2214yescomplemented
248#3173C2214yescomplemented
249#3172C2212yescomplemented
250#3170C2211yescharacteristic, complemented
251#3169C2212yescomplemented
252#3167C2212yescomplemented
253#3167C2211yescharacteristic, complemented
254#3154C2214yescomplemented
255#3151C2212yescomplemented
256#3147C2212yescomplemented
257C2×#493C2211yescharacteristic, complemented
258#3125C2214yescomplemented
259#3124C2214yescomplemented
260#3122C2214yescomplemented
261#3118C2214yescomplemented
262#3115C2212yescomplemented
263#3115C2212yescomplemented
264#3107C2211yescharacteristic, complemented
265#3107C2211yescharacteristic, complemented
266#3107C2211yescharacteristic, complemented
267#3107C2212yescomplemented
268#3106C2212yescomplemented
269#3106C2211yescharacteristic, complemented
270#3106C2212yescomplemented
271#3104C2212yescomplemented
272#3103C2212yescomplemented
273#3102C2212yescomplemented
274#3063C2214yescomplemented
275#3058C2212yescomplemented
276#3055C2214yescomplemented
277#3055C2214yescomplemented
278#3054C2214yescomplemented
279#3046C2214yescomplemented
280#3041C2214yescomplemented
281#3038C2211yescharacteristic, complemented
282#3038C2211yescharacteristic, complemented
283#3038C2212yescomplemented
284#3037C2212yescomplemented
285#3035C2212yescomplemented
286#3035C2212yescomplemented
287#3012C2214yescomplemented
288#3009C2214yescomplemented
289#3008C2212yescomplemented
290#3008C2212yescomplemented
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#2946C2214yescomplemented
310C4×#137C2212yescomplemented
311C4×#135C2211yescharacteristic, complemented
312C4×#135C2212yescomplemented
313D4×M16C2212yescomplemented
314#2933C2214yescomplemented
315#2931C2211yescharacteristic, complemented
316C2×#436C2212yescomplemented
317C2×H(5,𝔽2)—21no—
318C2×H(5,𝔽2)—22no—
319C2×H(5,𝔽2)C2312yes—
320C2×H(5,𝔽2)C2312yes—
321C22×#41C2314yes—
322C22×#41C2314yes—
323#576—48no—
324#575—416no—
325C2×#137C2312yes—
326C2×#137C2314yes—
327C2×#137C2314yes—
328C2×#137C2314yes—
329C2×AGL(1,ℤ/8)C2314yes—
330C2×AGL(1,ℤ/8)C2314yes—
331C2×AGL(1,ℤ/8)C2314yes—
332C2×AGL(1,ℤ/8)C2314yes—
333C2×AGL(1,ℤ/8)C2312yes—
334C2×AGL(1,ℤ/8)C2312yes—
335C2×AGL(1,ℤ/8)C2314yes—
336C2×AGL(1,ℤ/8)C2314yes—
337C2×#135C2312yes—
338C2×#135C2311yescharacteristic
339C2×#135C2314yes—
340C2×#135C2314yes—
341C2×#135C2314yes—
342C2×#135C2314yes—
343C2×#135C2314yes—
344C2×#135C2314yes—
345C22×SD16C2314yes—
346C22×D8C2312yes—
347C22×D8C2314yes—
348C22×D8C2312yes—
349C2×#131C2312yes—
350C22×M16C2314yes—
351#563—22no—
352#562—22no—
353#562—24no—
354#562—24no—
355#562—24no—
356H(3,𝔽4)—24no—
357#560—24no—
358#560—24no—
359#560—24no—
360#560—24no—
361#559—21no—
362#559—22no—
363#559—22no—
364#559—22no—
365#559—24no—
366#559—21no—
367#559—21no—
368#559—21no—
369#559—22no—
370#559—22no—
371#559—22no—
372#559—22no—
373#559D411yescharacteristic
374#559C2312yes—
375#559C2312yes—
376#559C2312yes—
377Q82—21no—
378Q82C2311yescharacteristic
379#557C2311yescharacteristic
380#557C2311yescharacteristic
381#557C2311yescharacteristic
382#556—21no—
383#556C2311yescharacteristic
384#556C2311yescharacteristic
385#556C2311yescharacteristic
386#556C2312yes—
387#556C2312yes—
388#556C2312yes—
389#556C2312yes—
390#555—21no—
391#555—22no—
392#555C2311yescharacteristic
393#555C2312yes—
394#555C2314yes—
395#555C2314yes—
396#554—21no—
397#554—22no—
398#554—22no—
399#554—22no—
400#554D411yescharacteristic
401#554D411yescharacteristic
402#554C2312yes—
403#553—24no—
404#553—22no—
405#553—24no—
406#553—24no—
407#553—22no—
408#553D412yes—
409#553D412yes—
410#553C2314yes—
411#552—21no—
412#552—21no—
413#552—22no—
414#552—22no—
415#552—22no—
416#552C2312yes—
417#551—24no—
418#551—24no—
419#551—24no—
420#551—24no—
421#551D414yes—
422#550—21no—
423#550—21no—
424#550—22no—
425#550—21no—
426#550—22no—
427#550—24no—
428#550—22no—
429#550—21no—
430#550—21no—
431#550—21no—
432#550C2312yes—
433#550C2312yes—
434#550C2312yes—
435#550C2311yescharacteristic
436#550C2314yes—
437#550C2312yes—
438#550C2312yes—
439#550C2314yes—
440#550C2312yes—
441#550C2312yes—
442#550C2312yes—
443#550C2312yes—
444#550C2311yescharacteristic
445#550C2312yes—
446D4×Q8C2311yescharacteristic
447D4×Q8C2312yes—
448D4×Q8C2312yes—
449D4×Q8C2311yescharacteristic
450D4×Q8C2311yescharacteristic
451#548—21no—
452#548—21no—
453#548—22no—
454#548—22no—
455#548C2314yes—
456#548C2314yes—
457#548C2314yes—
458#548C2312yes—
459#547—21no—
460#547—24no—
461#547—24no—
462#547—24no—
463#547—22no—
464#547—22no—
465#547—22no—
466#547—22no—
467#547C2311yescharacteristic
468#547C2314yes—
469#547C2311yescharacteristic
470#547C2312yes—
471#547C2312yes—
472#547C2312yes—
473#547C2314yes—
474#547C2311yescharacteristic
475#547C2314yes—
476#547C2312yes—
477#546—22no—
478#546—24no—
479#546—24no—
480#546—22no—
481#546—24no—
482#546—24no—
483#546—24no—
484#546—22no—
485#546—22no—
486#546—22no—
487#546—22no—
488#546—22no—
489#546—24no—
490#546—22no—
491#546—22no—
492#546—24no—
493#546—24no—
494#546—24no—
495#546—24no—
496#546D412yes—
497#546D412yes—
498#546C2314yes—
499#546C2314yes—
500#546C2314yes—
501#546C2314yes—
502#546C2314yes—
503#546C2314yes—
504#546C2314yes—
505D42—22no—
506D42—22no—
507D42—22no—
508D42—22no—
509D42—22no—
510D42—22no—
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—22no—
530#542—22no—
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#540—22no—
543#540—22no—
544#540—22no—
545#540—22no—
546#540C2314yes—
547#539—24no—
548#539—24no—
549#538—24no—
550#538—24no—
551#538—24no—
552#538—24no—
553#538—24no—
554#538—24no—
555#538—24no—
556#538—24no—
557#538—24no—
558#537—24no—
559#537—22no—
560#537—22no—
561#537—22no—
562#537C2314yes—
563#536C2314yes—
564#536C2314yes—
565#535—21no—
566#535—21no—
567#535—21no—
568#535—22no—
569#535—22no—
570#535—22no—
571#535—22no—
572#535—22no—
573#535—24no—
574#535—22no—
575#535—24no—
576#535—22no—
577#535—21no—
578#535C2314yes—
579#535C2312yes—
580#535C2312yes—
581#534—24no—
582#534—24no—
583#534—24no—
584#534—24no—
585#534—24no—
586#533—21no—
587#533C2312yes—
588#533C2311yescharacteristic
589#533C2312yes—
590#533C2311yescharacteristic
591#533C2311yescharacteristic
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#532C2312yes—
602#532C2312yes—
603#532C2312yes—
604#532C2312yes—
605#532C2311yescharacteristic
606#532C2312yes—
607#532C2312yes—
608#532C2312yes—
609#532C2312yes—
610#532C2311yescharacteristic
611C2×#127—22no—
612C2×#127—21no—
613C2×#127—21no—
614C2×#127C2311yescharacteristic
615C2×#127C2311yescharacteristic
616C2×#127C2312yes—
617#529—22no—
618#529—22no—
619#529—22no—
620#529—22no—
621#529—22no—
622#529—22no—
623#529—22no—
624#529—21no—
625#529—21no—
626#529C2312yes—
627#529C2312yes—
628#529C2312yes—
629C2×#124—22no—
630C2×#124—22no—
631#525—24no—
632#525—24no—
633#525—24no—
634#525—24no—
635#525C2314yes—
636#525C2314yes—
637#525C2314yes—
638#525C2314yes—
639#525C2314yes—
640C2×#123—24no—
641C2×#123—24no—
642C2×#121—24no—
643C2×#121—24no—
644C2×#121C2314yes—
645C2×#121C2314yes—
646#520—22no—
647#520—22no—
648#520C2314yes—
649#518—22no—
650#518—21no—
651#518—21no—
652#518—21no—
653#518C2314yes—
654C4×#41—21no—
655C4×#41—21no—
656C4×#41C2312yes—
657C4×#41C2311yescharacteristic
658C4×#41C2312yes—
659C4×#41C2311yescharacteristic
660C4×#41C2312yes—
661C4×#41C2311yescharacteristic
662C4×#41C2311yescharacteristic
663C2×C4×Q8—21no—
664C2×C4×Q8—21no—
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#500C2311yescharacteristic
674#498C2312yes—
675#498C2311yescharacteristic
676#497C2312yes—
677#497C2314yes—
678#496C2314yes—
679#496C2314yes—
680#496C2314yes—
681#495C2314yes—
682#495C2314yes—
683#495C2314yes—
684#494C2311yescharacteristic
685#493C2312yes—
686#493C2312yes—
687#493C2312yes—
688#493C2312yes—
689#493C2312yes—
690#492C2312yes—
691#492C2311yescharacteristic
692#492C2312yes—
693#492C2314yes—
694#492C2312yes—
695#492C2312yes—
696#491C2312yes—
697#489C2312yes—
698#489C2314yes—
699#489C2314yes—
700#488C2314yes—
701#487C2311yescharacteristic
702#487C2312yes—
703#487C2311yescharacteristic
704#487C2311yescharacteristic
705#486C2312yes—
706#486C2312yes—
707#486C2311yescharacteristic
708#486C2312yes—
709#486C2312yes—
710#486C2314yes—
711#486C2312yes—
712#485C2312yes—
713#485C2312yes—
714#485C2312yes—
715#485C2312yes—
716#485C2312yes—
717#485C2312yes—
718#485C2314yes—
719#484C2312yes—
720#484C2312yes—
721#484C2314yes—
722#483C2314yes—
723#482C2312yes—
724#482C2312yes—
725#482C2312yes—
726#482C2314yes—
727#482C2314yes—
728#482C2314yes—
729#482C2312yes—
730#482C2314yes—
731#482C2314yes—
732#482C2314yes—
733#481C2314yes—
734#481C2314yes—
735#480C2314yes—
736#479C2312yes—
737#478C2314yes—
738#478C2312yes—
739#477C2311yescharacteristic
740#477C2312yes—
741#477C2312yes—
742#477C2312yes—
743#477C2312yes—
744#476C2314yes—
745#476C2311yescharacteristic
746#476C2312yes—
747#475C2311yescharacteristic
748#475C2311yescharacteristic
749#475C2312yes—
750#475C2312yes—
751#475C2311yescharacteristic
752#475C2312yes—
753#474C2314yes—
754#474C2311yescharacteristic
755#474C2311yescharacteristic
756#474C2312yes—
757#474C2314yes—
758#474C2312yes—
759#474C2311yescharacteristic
760#470C2312yes—
761#470C2312yes—
762#470C2314yes—
763#470C2314yes—
764#469C2314yes—
765#469C2314yes—
766#469C2314yes—
767#469C2314yes—
768#469C2314yes—
769#469C2314yes—
770#468C2312yes—
771#468C2314yes—
772#468C2314yes—
773#468C2314yes—
774#468C2312yes—
775#468C2314yes—
776#468C2314yes—
777#468C2314yes—
778#468C2314yes—
779#468C2314yes—
780#467C2312yes—
781#467C2312yes—
782#467C2314yes—
783#466C2314yes—
784#466C2314yes—
785#466C2314yes—
786#466C2314yes—
787#466C2314yes—
788#466C2314yes—
789#466C2314yes—
790#465C2312yes—
791#465C2312yes—
792#465C2312yes—
793#465C2312yes—
794#465C2312yes—
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#463C2312yes—
808#463C2314yes—
809#463C2314yes—
810#463C2314yes—
811#463C2314yes—
812#463C2314yes—
813#463C2314yes—
814#463C2314yes—
815#463C2314yes—
816#463C2314yes—
817#462C2311yescharacteristic
818#462C2312yes—
819#462C2312yes—
820#462C2312yes—
821#462C2311yescharacteristic
822#462C2311yescharacteristic
823#462C2312yes—
824#462C2312yes—
825#461C2311yescharacteristic
826#461C2314yes—
827#461C2311yescharacteristic
828#461C2311yescharacteristic
829#461C2312yes—
830#461C2312yes—
831#461C2314yes—
832#460C2312yes—
833#460C2312yes—
834#460C2312yes—
835#460C2311yescharacteristic
836#460C2312yes—
837#460C2312yes—
838#460C2312yes—
839#460C2312yes—
840#460C2312yes—
841#460C2314yes—
842#460C2312yes—
843#460C2312yes—
844#460C2312yes—
845#460C2312yes—
846#459C2312yes—
847#459C2312yes—
848#459C2312yes—
849#459C2311yescharacteristic
850#459C2312yes—
851#459C2314yes—
852#459C2312yes—
853#459C2312yes—
854#459C2314yes—
855#459C2314yes—
856#459C2312yes—
857#459C2314yes—
858#452C2314yes—
859#452C2312yes—
860#452C2312yes—
861#452C2312yes—
862#452C2312yes—
863#452C2312yes—
864#452C2312yes—
865#452C2314yes—
866#452C2314yes—
867#452C2314yes—
868#452C2314yes—
869#452C2314yes—
870#452C2314yes—
871#452C2314yes—
872#451C2312yes—
873#451C2312yes—
874#451C2314yes—
875#450C2314yes—
876#450C2314yes—
877#450C2314yes—
878#450C2314yes—
879#450C2314yes—
880#450C2314yes—
881#450C2314yes—
882#450C2314yes—
883#449C2312yes—
884#449C2314yes—
885#449C2314yes—
886#449C2314yes—
887#449C2314yes—
888#449C2312yes—
889#449C2314yes—
890#449C2312yes—
891#449C2312yes—
892#449C2314yes—
893#449C2314yes—
894#449C2314yes—
895#449C2314yes—
896#449C2314yes—
897#449C2314yes—
898#449C2314yes—
899#449C2314yes—
900#449C2314yes—
901#449C2314yes—
902#449C2314yes—
903#449C2314yes—
904#449C2314yes—
905#449C2314yes—
906#448C2314yes—
907#448C2314yes—
908#448C2314yes—
909#448C2314yes—
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#442C2314yes—
926#442C2314yes—
927#442C2314yes—
928#441C2312yes—
929#441C2312yes—
930#440C2312yes—
931#440C2314yes—
932#440C2314yes—
933#440C2312yes—
934C4×Q16C2311yescharacteristic
935C4×Q16C2312yes—
936C4×Q16C2312yes—
937C4×Q16C2312yes—
938C4×Q16C2311yescharacteristic
939C4×Q16C2312yes—
940C4×Q16C2312yes—
941C4×Q16C2312yes—
942C4×SD16C2312yes—
943C4×SD16C2312yes—
944C4×SD16C2311yescharacteristic
945C4×SD16C2312yes—
946C4×SD16C2311yescharacteristic
947C4×SD16C2312yes—
948C4×SD16C2312yes—
949C4×SD16C2312yes—
950C4×SD16C2314yes—
951C4×SD16C2314yes—
952C4×SD16C2312yes—
953C4×SD16C2314yes—
954C4×SD16C2311yescharacteristic
955C4×SD16C2312yes—
956C4×SD16C2311yescharacteristic
957C4×D8C2311yescharacteristic
958C4×D8C2314yes—
959C4×D8C2314yes—
960C4×D8C2311yescharacteristic
961C4×D8C2312yes—
962C4×D8C2314yes—
963C4×D8C2312yes—
964#436C2311yescharacteristic
965#436C2314yes—
966#436C2312yes—
967#436C2312yes—
968#436C2312yes—
969#436C2311yescharacteristic
970#436C2312yes—
971#436C2314yes—
972#436C2312yes—
973#436C2314yes—
974#435C2314yes—
975#435C2312yes—
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#431C2312yes—
998#431C2311yescharacteristic
999#431C2311yescharacteristic
1000#428C2314yes—
1001#428C2312yes—
1002#427C2312yes—
1003#427C2311yescharacteristic
1004#424C2314yes—
1005#423C2311yescharacteristic
1006#423C2312yes—
1007C2×C4⋊C8C2312yes—
1008#419C2312yes—
1009#418C2314yes—
1010#418C2312yes—
1011#418C2312yes—
1012#418C2314yes—
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—
1035H(5,𝔽2)—44no—
1036H(5,𝔽2)—44no—
1037H(5,𝔽2)—82no—
1038H(5,𝔽2)—82no—
1039H(5,𝔽2)—88no—
1040H(5,𝔽2)—84no—
1041C2×#41—21no—
1042C2×#41—22no—
1043C2×#41—22no—
1044C2×#41—22no—
1045C2×#41—21no—
1046C2×#41—24no—
1047C2×#41—22no—
1048C2×#41—22no—
1049C2×#41—22no—
1050C2×#41—24no—
1051C2×#41—24no—
1052C2×#41—24no—
1053C2×#41—21no—
1054C2×#41—22no—
1055C2×#41—22no—
1056C2×#41—22no—
1057C2×#41—24no—
1058C2×#41—48no—
1059C2×#41—48no—
1060C2×#41—84no—
1061C2×#41—84no—
1062C2×#41C2×D411yescharacteristic
1063C2×#41C2×D411yescharacteristic
1064C2×#41C2412yes—
1065C2×#41C2412yes—
1066C2×#41C2411yescharacteristic
1067C2×#41C2411yescharacteristic
1068C2×#41C2412yes—
1069C2×#41C2414yes—
1070C2×#41C2414yes—
1071C2×#41C2414yes—
1072C2×#41C2414yes—
1073C2×#41C2414yes—
1074C2×#41C2414yes—
1075C2×#41C2412yes—
1076C22×Q8—21no—
1077C22×Q8—21no—
1078C22×Q8C2412yes—
1079C22×Q8C2414yes—
1080C22×D4—24no—
1081C22×D4—24no—
1082C22×D4—24no—
1083C22×D4—24no—
1084C22×D4—22no—
1085C22×D4—22no—
1086C22×D4—22no—
1087C22×D4—22no—
1088C22×D4—24no—
1089C22×D4—24no—
1090C22×D4—24no—
1091C22×D4—22no—
1092C22×D4—24no—
1093C22×D4—22no—
1094C22×D4—22no—
1095C22×D4—22no—
1096C22×D4—21no—
1097C22×D4—21no—
1098C22×D4—21no—
1099C22×D4—22no—
1100C22×D4—21no—
1101C22×D4C2×D412yes—
1102C22×D4C2×D412yes—
1103C22×D4C2414yes—
1104C22×D4C2414yes—
1105C22×D4C2414yes—
1106C22×D4C2412yes—
1107C22×D4C2412yes—
1108C23×C4—24no—
1109C23×C4—24no—
1110C23×C4C2414yes—
1111#137—28no—
1112#137—48no—
1113#137—48no—
1114#137—48no—
1115AGL(1,ℤ/8)—216no—
1116AGL(1,ℤ/8)—48no—
1117AGL(1,ℤ/8)—48no—
1118AGL(1,ℤ/8)—48no—
1119AGL(1,ℤ/8)—44no—
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×Q16C2411yescharacteristic
1132C2×Q16C2412yes—
1133C2×Q16C2412yes—
1134C2×Q16C2412yes—
1135C2×Q16C2412yes—
1136C2×Q16C2412yes—
1137C2×Q16C2414yes—
1138C2×SD16—84no—
1139C2×SD16C2414yes—
1140C2×SD16C2412yes—
1141C2×SD16C2411yescharacteristic
1142C2×SD16C2412yes—
1143C2×SD16C2412yes—
1144C2×SD16C2412yes—
1145C2×SD16C2414yes—
1146C2×SD16C2414yes—
1147C2×SD16C2414yes—
1148C2×SD16C2412yes—
1149C2×SD16C2414yes—
1150C2×SD16C2414yes—
1151C2×SD16C2414yes—
1152C2×SD16C2414yes—
1153C2×SD16C2414yes—
1154C2×SD16C2412yes—
1155C2×SD16C2411yescharacteristic
1156C2×D8—44no—
1157C2×D8—48no—
1158C2×D8—82no—
1159C2×D8C2411yescharacteristic
1160C2×D8C2414yes—
1161C2×D8C2414yes—
1162C2×D8C2412yes—
1163C2×D8C2414yes—
1164C2×D8C2414yes—
1165C2×D8C2414yes—
1166C2×D8C2414yes—
1167C2×D8C2414yes—
1168C2×D8C2414yes—
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×C8C2411yescharacteristic
1182C22×C8C2414yes—
1183C22×C8C2412yes—
1184C4⋊Q8—21no—
1185C4⋊Q8—24no—
1186C4⋊Q8—21no—
1187C4⋊Q8—21no—
1188C4⋊Q8—22no—
1189C4⋊Q8—22no—
1190C4⋊Q8—22no—
1191C4⋊Q8C2×D411yescharacteristic
1192C4⋊Q8C2411yescharacteristic
1193C4⋊Q8C2411yescharacteristic
1194C4⋊Q8C2411yescharacteristic
1195C4⋊Q8C2412yes—
1196C4⋊Q8C2412yes—
1197C4⋊Q8C2411yescharacteristic
1198C4⋊Q8C2411yescharacteristic
1199C4⋊Q8C2411yescharacteristic
1200C4⋊Q8C2411yescharacteristic
1201C4⋊Q8C2412yes—
1202C4⋊Q8C2412yes—
1203C4⋊Q8C2412yes—
1204#127—22no—
1205#127—21no—
1206#127—22no—
1207#127—22no—
1208#127—24no—
1209#127—22no—
1210#127—24no—
1211#127—22no—
1212#127—22no—
1213#127—22no—
1214#127—22no—
1215#127—22no—
1216#127—22no—
1217#127—22no—
1218#127—21no—
1219#127—21no—
1220#127—21no—
1221#127—21no—
1222#127—22no—
1223#127—22no—
1224#127C2×D411yescharacteristic
1225#127C2412yes—
1226#127C2411yescharacteristic
1227#127C2412yes—
1228#127C2412yes—
1229#127C2412yes—
1230#127C2414yes—
1231#127C2412yes—
1232#126—24no—
1233#126—24no—
1234#126—24no—
1235#126—22no—
1236#126—24no—
1237#126—22no—
1238#126—22no—
1239#126—22no—
1240#126—22no—
1241#126—22no—
1242#126—22no—
1243#126—22no—
1244#126—24no—
1245#126—24no—
1246#126—22no—
1247#126C2×D414yes—
1248#126C2×D414yes—
1249#125—22no—
1250#125—22no—
1251#125—22no—
1252#125—21no—
1253#125—21no—
1254#125—22no—
1255#125—22no—
1256#125—22no—
1257#125—22no—
1258#125—21no—
1259#125—21no—
1260#125—21no—
1261#125C2×D412yes—
1262#125C2×D412yes—
1263#125C2412yes—
1264#124—22no—
1265#124—22no—
1266#124—22no—
1267#124—22no—
1268#124—22no—
1269#124—22no—
1270#124—22no—
1271#124—21no—
1272#124—21no—
1273#124—22no—
1274#124—22no—
1275#124—24no—
1276#124—24no—
1277#124—24no—
1278#124—24no—
1279#124—24no—
1280#124—22no—
1281#124—24no—
1282#124—22no—
1283#124—24no—
1284#124—22no—
1285#124—22no—
1286#124—24no—
1287#124—24no—
1288#124—24no—
1289#124—24no—
1290#124—22no—
1291#124—22no—
1292#124—22no—
1293#124—22no—
1294#124—21no—
1295#124—22no—
1296#124C2×D412yes—
1297#124C2×D412yes—
1298#124C2×D412yes—
1299#124C2412yes—
1300#124C2414yes—
1301#124C2414yes—
1302#124C2414yes—
1303#123—24no—
1304#123—24no—
1305#123—22no—
1306#123—24no—
1307#123—24no—
1308#123—24no—
1309#123—24no—
1310#123—22no—
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—24no—
1322#123—24no—
1323#123—22no—
1324#123—22no—
1325#123—24no—
1326#123—24no—
1327#123—24no—
1328#123—24no—
1329#123—22no—
1330#123—22no—
1331#123—24no—
1332#123—22no—
1333#123—24no—
1334#123—22no—
1335#123—22no—
1336#123—24no—
1337#123—24no—
1338#123—24no—
1339#123—24no—
1340#123—24no—
1341#123—24no—
1342#123—24no—
1343#123—24no—
1344#123C2×D414yes—
1345#123C2×D414yes—
1346#123C2×D414yes—
1347#123C2×D414yes—
1348C22⋊Q8—24no—
1349C22⋊Q8—21no—
1350C22⋊Q8—21no—
1351C22⋊Q8—22no—
1352C22⋊Q8—22no—
1353C22⋊Q8—21no—
1354C22⋊Q8—21no—
1355C22⋊Q8—24no—
1356C22⋊Q8—24no—
1357C22⋊Q8—24no—
1358C22⋊Q8—21no—
1359C22⋊Q8—21no—
1360C22⋊Q8—22no—
1361C22⋊Q8—22no—
1362C22⋊Q8—22no—
1363C22⋊Q8—21no—
1364C22⋊Q8—22no—
1365C22⋊Q8—24no—
1366C22⋊Q8—24no—
1367C22⋊Q8—24no—
1368C22⋊Q8—24no—
1369C22⋊Q8—24no—
1370C22⋊Q8—24no—
1371C22⋊Q8—22no—
1372C22⋊Q8—24no—
1373C22⋊Q8—24no—
1374C22⋊Q8—24no—
1375C22⋊Q8C2×D414yes—
1376C22⋊Q8C2×D414yes—
1377C22⋊Q8C2×D412yes—
1378C22⋊Q8C2×D412yes—
1379C22⋊Q8C2412yes—
1380C22⋊Q8C2412yes—
1381C22⋊Q8C2412yes—
1382C22⋊Q8C2412yes—
1383C22⋊Q8C2412yes—
1384C22⋊Q8C2414yes—
1385C22⋊Q8C2414yes—
1386C22⋊Q8C2414yes—
1387C22⋊Q8C2412yes—
1388C22⋊Q8C2412yes—
1389C22⋊Q8C2412yes—
1390#121—22no—
1391#121—24no—
1392#121—24no—
1393#121—24no—
1394#121—24no—
1395#121—21no—
1396#121—21no—
1397#121—22no—
1398#121—22no—
1399#121—22no—
1400#121—22no—
1401#121—21no—
1402#121—24no—
1403#121—24no—
1404#121—24no—
1405#121—24no—
1406#121—24no—
1407#121—24no—
1408#121—24no—
1409#121—24no—
1410#121—24no—
1411#121—24no—
1412#121—24no—
1413#121—22no—
1414#121—22no—
1415#121—22no—
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—22no—
1425#121—24no—
1426#121—24no—
1427#121—22no—
1428#121—22no—
1429#121—22no—
1430#121—22no—
1431#121—22no—
1432#121—22no—
1433#121—21no—
1434#121—22no—
1435#121—24no—
1436#121—24no—
1437#121—24no—
1438#121—22no—
1439#121—24no—
1440#121—22no—
1441#121—24no—
1442#121—24no—
1443#121—24no—
1444#121—24no—
1445#121—24no—
1446#121—24no—
1447#121—24no—
1448#121—24no—
1449#121—24no—
1450#121—24no—
1451#121—24no—
1452#121—24no—
1453#121—24no—
1454#121—22no—
1455#121—24no—
1456#121—24no—
1457#121—24no—
1458#121—24no—
1459#121—24no—
1460#121—24no—
1461#121—24no—
1462#121C2×D414yes—
1463#121C2×D414yes—
1464#121C2×D412yes—
1465#121C2×D412yes—
1466#121C2×D412yes—
1467#121C2×D412yes—
1468#121C2412yes—
1469#121C2412yes—
1470#121C2414yes—
1471#121C2412yes—
1472#121C2414yes—
1473#121C2414yes—
1474#121C2414yes—
1475#121C2414yes—
1476#121C2414yes—
1477#121C2414yes—
1478#121C2414yes—
1479#121C2414yes—
1480#121C2412yes—
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—21no—
1512C4×Q8—22no—
1513C4×Q8—22no—
1514C4×Q8—21no—
1515C4×Q8—22no—
1516C4×Q8—22no—
1517C4×Q8—21no—
1518C4×Q8—21no—
1519C4×Q8—22no—
1520C4×Q8—22no—
1521C4×Q8—22no—
1522C4×Q8—22no—
1523C4×Q8—21no—
1524C4×Q8C2×D411yescharacteristic
1525C4×Q8C2×D411yescharacteristic
1526C4×Q8C2411yescharacteristic
1527C4×Q8C2412yes—
1528C4×Q8C2412yes—
1529C4×Q8C2412yes—
1530C4×Q8C2411yescharacteristic
1531C4×Q8C2412yes—
1532C4×Q8C2412yes—
1533C4×Q8C2412yes—
1534C4×Q8C2411yescharacteristic
1535C4×Q8C2411yescharacteristic
1536C4×Q8C2412yes—
1537C4×Q8C2412yes—
1538C4×Q8C2411yescharacteristic
1539C4×Q8C2411yescharacteristic
1540C4×D4—21no—
1541C4×D4—22no—
1542C4×D4—22no—
1543C4×D4—22no—
1544C4×D4—24no—
1545C4×D4—24no—
1546C4×D4—24no—
1547C4×D4—22no—
1548C4×D4—21no—
1549C4×D4—21no—
1550C4×D4—21no—
1551C4×D4—22no—
1552C4×D4—22no—
1553C4×D4—21no—
1554C4×D4—22no—
1555C4×D4—22no—
1556C4×D4—22no—
1557C4×D4—22no—
1558C4×D4—24no—
1559C4×D4—24no—
1560C4×D4—24no—
1561C4×D4—24no—
1562C4×D4—24no—
1563C4×D4—21no—
1564C4×D4—22no—
1565C4×D4—22no—
1566C4×D4—22no—
1567C4×D4—24no—
1568C4×D4—22no—
1569C4×D4—22no—
1570C4×D4—24no—
1571C4×D4—22no—
1572C4×D4—22no—
1573C4×D4—22no—
1574C4×D4—22no—
1575C4×D4—22no—
1576C4×D4—24no—
1577C4×D4—24no—
1578C4×D4—22no—
1579C4×D4—22no—
1580C4×D4—24no—
1581C4×D4—24no—
1582C4×D4—24no—
1583C4×D4—22no—
1584C4×D4—24no—
1585C4×D4—24no—
1586C4×D4—24no—
1587C4×D4—22no—
1588C4×D4—22no—
1589C4×D4—22no—
1590C4×D4—21no—
1591C4×D4—22no—
1592C4×D4—22no—
1593C4×D4—22no—
1594C4×D4—22no—
1595C4×D4—22no—
1596C4×D4—22no—
1597C4×D4—22no—
1598C4×D4—22no—
1599C4×D4C2×D412yes—
1600C4×D4C2×D412yes—
1601C4×D4C2×D412yes—
1602C4×D4C2×D414yes—
1603C4×D4C2×D414yes—
1604C4×D4C2×D412yes—
1605C4×D4C2×D411yescharacteristic
1606C4×D4C2×D412yes—
1607C4×D4C2×D411yescharacteristic
1608C4×D4C2×D412yes—
1609C4×D4C2411yescharacteristic
1610C4×D4C2411yescharacteristic
1611C4×D4C2412yes—
1612C4×D4C2412yes—
1613C4×D4C2411yescharacteristic
1614C4×D4C2411yescharacteristic
1615C4×D4C2412yes—
1616C4×D4C2412yes—
1617C4×D4C2414yes—
1618C4×D4C2414yes—
1619C4×D4C2414yes—
1620C4×D4C2414yes—
1621C4×D4C2411yescharacteristic
1622C4×D4C2411yescharacteristic
1623C4×D4C2414yes—
1624C4×D4C2414yes—
1625C4×D4C2412yes—
1626C4×D4C2412yes—
1627C4×D4C2412yes—
1628C4×D4C2412yes—
1629#117—21no—
1630#117—21no—
1631#117—21no—
1632#117—22no—
1633#117—22no—
1634#117—21no—
1635#117—21no—
1636#117—22no—
1637#117—24no—
1638#117—24no—
1639#117—24no—
1640#117—22no—
1641#117—22no—
1642#117—22no—
1643#117—22no—
1644#117—21no—
1645#117—21no—
1646#117—22no—
1647#117C2×D411yescharacteristic
1648#117C2×D411yescharacteristic
1649#117C2×D412yes—
1650#117C2×D412yes—
1651#117C2412yes—
1652#117C2412yes—
1653#117C2412yes—
1654#117C2411yescharacteristic
1655#117C2411yescharacteristic
1656#117C2414yes—
1657#117C2414yes—
1658C2×C4⋊C4—22no—
1659C2×C4⋊C4—21no—
1660C2×C4⋊C4—21no—
1661C2×C4⋊C4—22no—
1662C2×C4⋊C4—22no—
1663C2×C4⋊C4—22no—
1664C2×C4⋊C4—24no—
1665C2×C4⋊C4—24no—
1666C2×C4⋊C4—24no—
1667C2×C4⋊C4C2×D412yes—
1668C2×C4⋊C4C2×D412yes—
1669C2×C4⋊C4C2412yes—
1670C2×C4⋊C4C2414yes—
1671C2×C22⋊C4—24no—
1672C2×C22⋊C4—24no—
1673C2×C22⋊C4—24no—
1674C2×C22⋊C4—24no—
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#107C2412yes—
1698#107C2414yes—
1699#107C2412yes—
1700#107C2412yes—
1701#107C2412yes—
1702#106C2411yescharacteristic
1703#106C2411yescharacteristic
1704#106C2412yes—
1705#106C2412yes—
1706#106C2414yes—
1707#106C2412yes—
1708#106C2412yes—
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#103C2412yes—
1728#103C2411yescharacteristic
1729#103C2412yes—
1730#103C2412yes—
1731#103C2414yes—
1732#103C2412yes—
1733#103C2412yes—
1734#103C2411yescharacteristic
1735#103C2412yes—
1736#103C2411yescharacteristic
1737#103C2411yescharacteristic
1738#103C2412yes—
1739#103C2412yes—
1740#103C2412yes—
1741#103C2412yes—
1742#103C2412yes—
1743#103C2412yes—
1744#103C2412yes—
1745#103C2412yes—
1746#102C2412yes—
1747#102C2412yes—
1748#102C2414yes—
1749#102C2414yes—
1750#102C2411yescharacteristic
1751#102C2412yes—
1752#102C2411yescharacteristic
1753#102C2414yes—
1754#102C2414yes—
1755#102C2414yes—
1756#102C2414yes—
1757#102C2414yes—
1758#102C2414yes—
1759#102C2411yescharacteristic
1760#102C2411yescharacteristic
1761#102C2412yes—
1762#102C2412yes—
1763#102C2414yes—
1764#102C2414yes—
1765#102C2414yes—
1766#102C2414yes—
1767#102C2414yes—
1768#102C2412yes—
1769#102C2412yes—
1770#102C2412yes—
1771C22⋊C8C2412yes—
1772C22⋊C8C2412yes—
1773C22⋊C8C2412yes—
1774C22⋊C8C2414yes—
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—22no—
1798C24—24no—
1799C24—22no—
1800C24C22×D414yes—
1801#41—24no—
1802#41—22no—
1803#41—28no—
1804#41—24no—
1805#41—22no—
1806#41—24no—
1807#41—42no—
1808#41—42no—
1809#41—42no—
1810#41—42no—
1811#41—42no—
1812#41—44no—
1813#41—42no—
1814#41—42no—
1815#41—41no—
1816#41—41no—
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—44no—
1828#41—84no—
1829#41—82no—
1830#41—84no—
1831#41—84no—
1832#41—84no—
1833#41—84no—
1834#41—88no—
1835#41—88no—
1836#41—88no—
1837#41—88no—
1838#41—84no—
1839#41—84no—
1840#41—84no—
1841#41—88no—
1842#41—82no—
1843#41—84no—
1844C2×Q8—21no—
1845C2×Q8—21no—
1846C2×Q8—22no—
1847C2×Q8—21no—
1848C2×Q8—22no—
1849C2×Q8—22no—
1850C2×Q8—24no—
1851C2×Q8—22no—
1852C2×Q8—21no—
1853C2×Q8—24no—
1854C2×Q8—42no—
1855C2×Q8—44no—
1856C2×Q8—44no—
1857C2×Q8—82no—
1858C2×Q8—82no—
1859C2×Q8C22×D411yescharacteristic
1860C2×Q8C22×D411yescharacteristic
1861C2×Q8C22×D412yes—
1862C2×Q8C2512yes—
1863C2×Q8C2512yes—
1864C2×Q8C2512yes—
1865C2×Q8C2511yescharacteristic
1866C2×Q8C2511yescharacteristic
1867C2×D4—28no—
1868C2×D4—24no—
1869C2×D4—22no—
1870C2×D4—22no—
1871C2×D4—22no—
1872C2×D4—21no—
1873C2×D4—21no—
1874C2×D4—24no—
1875C2×D4—22no—
1876C2×D4—24no—
1877C2×D4—24no—
1878C2×D4—24no—
1879C2×D4—24no—
1880C2×D4—24no—
1881C2×D4—24no—
1882C2×D4—24no—
1883C2×D4—22no—
1884C2×D4—22no—
1885C2×D4—24no—
1886C2×D4—24no—
1887C2×D4—24no—
1888C2×D4—24no—
1889C2×D4—24no—
1890C2×D4—24no—
1891C2×D4—22no—
1892C2×D4—22no—
1893C2×D4—22no—
1894C2×D4—22no—
1895C2×D4—21no—
1896C2×D4—24no—
1897C2×D4—22no—
1898C2×D4—22no—
1899C2×D4—22no—
1900C2×D4—24no—
1901C2×D4—22no—
1902C2×D4—22no—
1903C2×D4—24no—
1904C2×D4—24no—
1905C2×D4—22no—
1906C2×D4—22no—
1907C2×D4—22no—
1908C2×D4—24no—
1909C2×D4—21no—
1910C2×D4—22no—
1911C2×D4—44no—
1912C2×D4—44no—
1913C2×D4—44no—
1914C2×D4—42no—
1915C2×D4—42no—
1916C2×D4—44no—
1917C2×D4—42no—
1918C2×D4—42no—
1919C2×D4—44no—
1920C2×D4—44no—
1921C2×D4—44no—
1922C2×D4—48no—
1923C2×D4—84no—
1924C2×D4—82no—
1925C2×D4—82no—
1926C2×D4—82no—
1927C2×D4—82no—
1928C2×D4—84no—
1929C2×D4—84no—
1930C2×D4—84no—
1931C2×D4—84no—
1932C2×D4—88no—
1933C2×D4—84no—
1934C2×D4—88no—
1935C2×D4—84no—
1936C2×D4—84no—
1937C2×D4—88no—
1938C2×D4—88no—
1939C2×D4—88no—
1940C2×D4—88no—
1941C2×D4—88no—
1942C2×D4—88no—
1943C2×D4C22×D412yes—
1944C2×D4C22×D411yescharacteristic
1945C2×D4C22×D412yes—
1946C2×D4C22×D411yescharacteristic
1947C2×D4C22×D412yes—
1948C2×D4C22×D412yes—
1949C2×D4C22×D414yes—
1950C2×D4C22×D414yes—
1951C2×D4C22×D414yes—
1952C2×D4C22×D412yes—
1953C2×D4C2514yes—
1954C2×D4C2511yescharacteristic
1955C2×D4C2514yes—
1956C2×D4C2512yes—
1957C2×D4C2511yescharacteristic
1958C22×C4—22no—
1959C22×C4—22no—
1960C22×C4—24no—
1961C22×C4—24no—
1962C22×C4—21no—
1963C22×C4—21no—
1964C22×C4—22no—
1965C22×C4—22no—
1966C22×C4—21no—
1967C22×C4—22no—
1968C22×C4—21no—
1969C22×C4—22no—
1970C22×C4—21no—
1971C22×C4—21no—
1972C22×C4—24no—
1973C22×C4—22no—
1974C22×C4—22no—
1975C22×C4—22no—
1976C22×C4—24no—
1977C22×C4—24no—
1978C22×C4—24no—
1979C22×C4—24no—
1980C22×C4—24no—
1981C22×C4—24no—
1982C22×C4—24no—
1983C22×C4—24no—
1984C22×C4—24no—
1985C22×C4—44no—
1986C22×C4—44no—
1987C22×C4—88no—
1988C22×C4—88no—
1989C22×C4C22×D412yes—
1990C22×C4C22×D412yes—
1991C22×C4C22×D411yescharacteristic
1992C22×C4C22×D411yescharacteristic
1993C22×C4C22×D412yes—
1994C22×C4C22×D412yes—
1995C22×C4C22×D414yes—
1996C22×C4C22×D414yes—
1997C22×C4C22×D414yes—
1998C22×C4C2512yes—
1999C22×C4C2512yes—
2000C22×C4C2511yescharacteristic
2001C22×C4C2514yes—
2002Q16—22no—
2003Q16—24no—
2004Q16—24no—
2005Q16—24no—
2006Q16—44no—
2007Q16—42no—
2008Q16—42no—
2009SD16—28no—
2010SD16—24no—
2011SD16—22no—
2012SD16—24no—
2013SD16—42no—
2014SD16—42no—
2015SD16—44no—
2016SD16—44no—
2017SD16—44no—
2018SD16—44no—
2019SD16—44no—
2020SD16—44no—
2021SD16—44no—
2022SD16—44no—
2023SD16—42no—
2024SD16—42no—
2025SD16H(5,𝔽2)14yescomplemented
2026D8—22no—
2027D8—28no—
2028D8—24no—
2029D8—28no—
2030D8—44no—
2031D8—44no—
2032D8—44no—
2033D8—44no—
2034D8—44no—
2035D8—44no—
2036M16—24no—
2037M16—28no—
2038M16—44no—
2039M16—44no—
2040M16—42no—
2041M16—42no—
2042C2×C8—24no—
2043C2×C8—22no—
2044C2×C8—44no—
2045C2×C8—44no—
2046C2×C8—41no—
2047C2×C8—44no—
2048C2×C8—42no—
2049C2×C8C2512yes—
2050C2×C8C2511yescharacteristic
2051C2×C8C2511yescharacteristic
2052C2×C8C2512yes—
2053C2×C8C2511yescharacteristic
2054C2×C8C2512yes—
2055C2×C8C2514yes—
2056C2×C8C2512yes—
2057C2×C8C2511yescharacteristic
2058C4⋊C4—22no—
2059C4⋊C4—22no—
2060C4⋊C4—22no—
2061C4⋊C4—21no—
2062C4⋊C4—22no—
2063C4⋊C4—21no—
2064C4⋊C4—22no—
2065C4⋊C4—22no—
2066C4⋊C4—24no—
2067C4⋊C4—21no—
2068C4⋊C4—21no—
2069C4⋊C4—22no—
2070C4⋊C4—22no—
2071C4⋊C4—24no—
2072C4⋊C4—24no—
2073C4⋊C4—24no—
2074C4⋊C4—22no—
2075C4⋊C4—22no—
2076C4⋊C4—22no—
2077C4⋊C4—22no—
2078C4⋊C4—22no—
2079C4⋊C4—22no—
2080C4⋊C4—22no—
2081C4⋊C4—21no—
2082C4⋊C4—22no—
2083C4⋊C4—22no—
2084C4⋊C4—21no—
2085C4⋊C4—21no—
2086C4⋊C4—21no—
2087C4⋊C4—21no—
2088C4⋊C4—21no—
2089C4⋊C4—21no—
2090C4⋊C4—22no—
2091C4⋊C4—21no—
2092C4⋊C4—22no—
2093C4⋊C4—22no—
2094C4⋊C4—22no—
2095C4⋊C4—22no—
2096C4⋊C4—21no—
2097C4⋊C4—21no—
2098C4⋊C4—22no—
2099C4⋊C4—22no—
2100C4⋊C4—22no—
2101C4⋊C4—22no—
2102C4⋊C4C22×D411yescharacteristic
2103C4⋊C4C22×D411yescharacteristic
2104C4⋊C4C22×D414yes—
2105C4⋊C4C22×D414yes—
2106C4⋊C4C22×D412yes—
2107C4⋊C4C22×D412yes—
2108C4⋊C4C22×D412yes—
2109C4⋊C4C22×D414yes—
2110C4⋊C4C22×D412yes—
2111C4⋊C4C22×D411yescharacteristic
2112C4⋊C4C22×D414yes—
2113C4⋊C4C22×D411yescharacteristic
2114C4⋊C4C22×D412yes—
2115C4⋊C4C22×D412yes—
2116C4⋊C4C2512yes—
2117C4⋊C4C2511yescharacteristic
2118C4⋊C4C2512yes—
2119C4⋊C4C2511yescharacteristic
2120C4⋊C4C2512yes—
2121C4⋊C4C2512yes—
2122C4⋊C4C2511yescharacteristic
2123C4⋊C4C2511yescharacteristic
2124C22⋊C4—22no—
2125C22⋊C4—22no—
2126C22⋊C4—22no—
2127C22⋊C4—22no—
2128C22⋊C4—24no—
2129C22⋊C4—24no—
2130C22⋊C4—24no—
2131C22⋊C4—24no—
2132C22⋊C4—22no—
2133C22⋊C4—22no—
2134C22⋊C4—22no—
2135C22⋊C4—22no—
2136C22⋊C4—21no—
2137C22⋊C4—21no—
2138C22⋊C4—22no—
2139C22⋊C4—22no—
2140C22⋊C4—22no—
2141C22⋊C4—22no—
2142C22⋊C4—24no—
2143C22⋊C4—22no—
2144C22⋊C4—24no—
2145C22⋊C4—24no—
2146C22⋊C4—22no—
2147C22⋊C4—22no—
2148C22⋊C4—22no—
2149C22⋊C4—22no—
2150C22⋊C4—24no—
2151C22⋊C4—24no—
2152C22⋊C4—24no—
2153C22⋊C4—24no—
2154C22⋊C4—24no—
2155C22⋊C4—24no—
2156C22⋊C4—24no—
2157C22⋊C4—24no—
2158C22⋊C4—24no—
2159C22⋊C4—24no—
2160C22⋊C4—24no—
2161C22⋊C4—24no—
2162C22⋊C4—21no—
2163C22⋊C4—21no—
2164C22⋊C4—22no—
2165C22⋊C4—22no—
2166C22⋊C4—24no—
2167C22⋊C4—24no—
2168C22⋊C4—21no—
2169C22⋊C4—21no—
2170C22⋊C4—24no—
2171C22⋊C4—24no—
2172C22⋊C4—22no—
2173C22⋊C4—22no—
2174C22⋊C4C22×D412yes—
2175C22⋊C4C22×D414yes—
2176C22⋊C4C22×D412yes—
2177C22⋊C4C22×D414yes—
2178C22⋊C4C22×D414yes—
2179C22⋊C4C22×D414yes—
2180C22⋊C4C22×D414yes—
2181C22⋊C4C22×D412yes—
2182C22⋊C4C22×D412yes—
2183C22⋊C4C22×D414yes—
2184C22⋊C4C22×D414yes—
2185C22⋊C4C22×D414yes—
2186C22⋊C4C22×D412yes—
2187C22⋊C4C22×D412yes—
2188C42—21no—
2189C42—21no—
2190C42—21no—
2191C42—22no—
2192C42—22no—
2193C42—22no—
2194C42—22no—
2195C42—22no—
2196C42—22no—
2197C42—22no—
2198C42—22no—
2199C42—21no—
2200C42—21no—
2201C42—22no—
2202C42—21no—
2203C42—22no—
2204C42—22no—
2205C42—24no—
2206C42C22×D412yes—
2207C42C22×D411yescharacteristic
2208C42C22×D412yes—
2209C42C22×D411yescharacteristic
2210C42C22×D412yes—
2211C42C22×D412yes—
2212C42C2511yescharacteristic
2213C42C2511yescharacteristic
2214C42C2512yes—
2215C42C2512yes—
2216C23—21no—
2217C23—24no—
2218C23—21no—
2219C23—24no—
2220C23—22no—
2221C23—44no—
2222C23—44no—
2223C23—44no—
2224C23—48no—
2225C23—48no—
2226C23—84no—
2227C23—84no—
2228C23—84no—
2229C23—84no—
2230C23—84no—
2231C23—82no—
2232C23—82no—
2233C23—82no—
2234C23—84no—
2235C23—82no—
2236C23—82no—
2237C23—84no—
2238C23—82no—
2239C23C23×D411yescharacteristic
2240C23C23×D414yes—
2241C23C23×D412yes—
2242C23C23×D412yes—
2243Q8—22no—
2244Q8—22no—
2245Q8—21no—
2246Q8—21no—
2247Q8—22no—
2248Q8—22no—
2249Q8—22no—
2250Q8—22no—
2251Q8—22no—
2252Q8—22no—
2253Q8—21no—
2254Q8—42no—
2255Q8—44no—
2256Q8—42no—
2257Q8—42no—
2258Q8—42no—
2259Q8—84no—
2260Q8—82no—
2261Q8—82no—
2262Q8—81no—
2263Q8—82no—
2264Q8C2×H(5,𝔽2)12yes—
2265D4—22no—
2266D4—24no—
2267D4—22no—
2268D4—24no—
2269D4—24no—
2270D4—21no—
2271D4—24no—
2272D4—22no—
2273D4—21no—
2274D4—24no—
2275D4—24no—
2276D4—22no—
2277D4—21no—
2278D4—44no—
2279D4—44no—
2280D4—44no—
2281D4—42no—
2282D4—42no—
2283D4—42no—
2284D4—48no—
2285D4—42no—
2286D4—48no—
2287D4—44no—
2288D4—42no—
2289D4—44no—
2290D4—44no—
2291D4—48no—
2292D4—44no—
2293D4—44no—
2294D4—44no—
2295D4—42no—
2296D4—44no—
2297D4—44no—
2298D4—84no—
2299D4—82no—
2300D4—82no—
2301D4—84no—
2302D4—82no—
2303D4—82no—
2304D4—84no—
2305D4—82no—
2306D4—81no—
2307D4—82no—
2308D4—82no—
2309D4—84no—
2310D4—82no—
2311D4—84no—
2312D4—84no—
2313D4—84no—
2314D4—84no—
2315D4—82no—
2316D4—84no—
2317D4—82no—
2318D4—82no—
2319D4—84no—
2320D4—84no—
2321D4—84no—
2322D4—84no—
2323D4—84no—
2324D4—84no—
2325D4—84no—
2326D4—84no—
2327D4C2×H(5,𝔽2)12yes—
2328C2×C4—21no—
2329C2×C4—24no—
2330C2×C4—22no—
2331C2×C4—24no—
2332C2×C4—22no—
2333C2×C4—22no—
2334C2×C4—21no—
2335C2×C4—24no—
2336C2×C4—22no—
2337C2×C4—22no—
2338C2×C4—24no—
2339C2×C4—21no—
2340C2×C4—22no—
2341C2×C4—21no—
2342C2×C4—21no—
2343C2×C4—21no—
2344C2×C4—22no—
2345C2×C4—22no—
2346C2×C4—21no—
2347C2×C4—22no—
2348C2×C4—22no—
2349C2×C4—22no—
2350C2×C4—22no—
2351C2×C4—22no—
2352C2×C4—21no—
2353C2×C4—44no—
2354C2×C4—44no—
2355C2×C4—44no—
2356C2×C4—42no—
2357C2×C4—42no—
2358C2×C4—44no—
2359C2×C4—48no—
2360C2×C4—42no—
2361C2×C4—44no—
2362C2×C4—44no—
2363C2×C4—44no—
2364C2×C4—42no—
2365C2×C4—44no—
2366C2×C4—42no—
2367C2×C4—42no—
2368C2×C4—44no—
2369C2×C4—42no—
2370C2×C4—42no—
2371C2×C4—84no—
2372C2×C4—84no—
2373C2×C4—84no—
2374C2×C4—84no—
2375C2×C4—84no—
2376C2×C4—84no—
2377C2×C4—84no—
2378C2×C4—82no—
2379C2×C4—82no—
2380C2×C4—84no—
2381C2×C4—82no—
2382C2×C4—84no—
2383C2×C4—84no—
2384C2×C4—84no—
2385C2×C4C23×D412yes—
2386C2×C4C23×D411yescharacteristic
2387C2×C4C23×D412yes—
2388C2×C4C23×D412yes—
2389C2×C4C23×D412yes—
2390C2×C4C23×D412yes—
2391C2×C4C23×D414yes—
2392C2×C4C23×D411yescharacteristic
2393C2×C4C23×D411yescharacteristic
2394C2×C4C23×D412yes—
2395C2×C4C23×D411yescharacteristic
2396C2×C4C23×D411yescharacteristic
2397C2×C4C2611yescharacteristic
2398C8—21no—
2399C8—22no—
2400C8—24no—
2401C8—22no—
2402C8—21no—
2403C8—22no—
2404C8—22no—
2405C8—21no—
2406C8C2×H(5,𝔽2)12yes—
2407C22—22no—
2408C22—22no—
2409C22—24no—
2410C22—21no—
2411C22—22no—
2412C22—21no—
2413C22—22no—
2414C22—22no—
2415C22—24no—
2416C22—21no—
2417C22—22no—
2418C22—22no—
2419C22—24no—
2420C22—41no—
2421C22—41no—
2422C22—42no—
2423C22—44no—
2424C22—41no—
2425C22—44no—
2426C22—41no—
2427C22—42no—
2428C22—44no—
2429C22—44no—
2430C22—41no—
2431C22—42no—
2432C22—44no—
2433C22—44no—
2434C22—164no—
2435C22—168no—
2436C22—168no—
2437C22—324no—
2438C22—322no—
2439C22—322no—
2440C22C24×D411yescharacteristic
2441C4—22no—
2442C4—22no—
2443C4—24no—
2444C4—21no—
2445C4—22no—
2446C4—21no—
2447C4—22no—
2448C4—22no—
2449C4—21no—
2450C4—22no—
2451C4—22no—
2452C4—41no—
2453C4—42no—
2454C4—42no—
2455C4—42no—
2456C4—41no—
2457C4—41no—
2458C4—42no—
2459C4—41no—
2460C4—42no—
2461C4—42no—
2462C4—41no—
2463C4—42no—
2464C4#358412yes—
2465C4#358512yes—
2466C4C22×H(5,𝔽2)11yescharacteristic
2467C4H(7,𝔽2)11yescharacteristic
2468C2—42no—
2469C2—42no—
2470C2—44no—
2471C2—41no—
2472C2—42no—
2473C2—82no—
2474C2—84no—
2475C2—84no—
2476C2—81no—
2477C2D4×H(5,𝔽2)11yescharacteristic
2478C2C2×#358411yescharacteristic
2479C2C2×#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. #63021C2semidirect
2. #63014C2semidirect
3. #62465C2semidirect
4. #62438C2semidirect
5. #62423C2semidirect
6. #62417C2semidirect
7. #62343C2semidirect
8. #62318C2semidirect
9. #62305C2semidirect
10. #62259C2semidirect
11. #62073C2semidirect
12. #62067C2semidirect
13. #62046C2semidirect
14. #62031C2semidirect
15. #61999C2semidirect
16. #61997C2semidirect
17. #61988C2semidirect
18. #61986C2semidirect
19. #61668C2semidirect
20. #61662C2semidirect
21. #61625C2semidirect
22. #61614C2semidirect
23. #61608C2semidirect
24. #61598C2semidirect
25. #61567C2semidirect
26. #61566C2semidirect
27. #61554C2semidirect
28. #61494C2semidirect
29. #61447C2semidirect
30. #61434C2semidirect
31. #61089C2semidirect
32. #61074C2semidirect
33. #61070C2semidirect
34. #61038C2semidirect
35. #60323C2semidirect
36. C2×#576C22semidirect
37. C2×#575C22semidirect
40. #3554C22semidirect
41. #3554C22semidirect
42. #3550C22semidirect
46. #3546C22semidirect
49. #3543C22semidirect
51. #3542C22semidirect
52. #3540C22semidirect
56. #3522C22semidirect
58. #3519C22semidirect
59. #3517C22semidirect
60. #3514C22semidirect
61. #3514C22semidirect
65. #3508C22semidirect
66. #3508C22semidirect
67. #3508C22semidirect
68. #3506C22semidirect
69. #3506C22semidirect
72. #3498C22semidirect
73. #3498C22semidirect
75. #3496C22semidirect
76. #3488C22semidirect
77. #3485C22semidirect
78. #3483C22semidirect
79. #3482C22semidirect
80. #3482C22semidirect
81. #3482C22semidirect
85. D4×#41C22semidirect
86. D4×#41C22semidirect
87. D4×#41C22semidirect
88. C2×#550C22semidirect
89. #3400C22semidirect
90. #3399C22semidirect
91. #3399C22semidirect
92. #3399C22semidirect
93. #3398C22semidirect
94. #3396C22semidirect
95. #3396C22semidirect
96. #3394C22semidirect
97. #3392C22semidirect
98. #3392C22semidirect
99. #3386C22semidirect
100. Q8×SD16C22semidirect
101. #3375C22semidirect
102. #3374C22semidirect
103. #3373C22semidirect
104. #3367C22semidirect
105. #3365C22semidirect
106. #3363C22semidirect
107. #3358C22semidirect
108. #3358C22semidirect
109. #3356C22semidirect
110. #3354C22semidirect
111. #3353C22semidirect
112. #3353C22semidirect
113. #3349C22semidirect
114. #3347C22semidirect
115. #3340C22semidirect
116. #3340C22semidirect
117. #3333C22semidirect
118. #3332C22semidirect
119. #3332C22semidirect
120. #3330C22semidirect
121. #3330C22semidirect
122. #3328C22semidirect
123. #3325C22semidirect
124. #3324C22semidirect
125. #3324C22semidirect
126. #3324C22semidirect
127. #3324C22semidirect
128. #3323C22semidirect
129. #3321C22semidirect
130. #3319C22semidirect
131. #3319C22semidirect
132. #3319C22semidirect
133. #3315C22semidirect
134. #3313C22semidirect
135. #3311C22semidirect
136. #3308C22semidirect
137. #3307C22semidirect
138. #3306C22semidirect
139. #3305C22semidirect
140. #3305C22semidirect
141. #3305C22semidirect
142. #3304C22semidirect
143. #3304C22semidirect
144. #3304C22semidirect
145. #3304C22semidirect
146. #3304C22semidirect
147. #3304C22semidirect
148. #3303C22semidirect
149. #3303C22semidirect
150. #3302C22semidirect
151. #3301C22semidirect
152. #3299C22semidirect
153. #3298C22semidirect
154. #3297C22semidirect
155. #3295C22semidirect
156. #3294C22semidirect
157. #3287C22semidirect
158. #3287C22semidirect
159. #3287C22semidirect
160. #3287C22semidirect
161. #3287C22semidirect
162. #3287C22semidirect
163. #3284C22semidirect
164. #3284C22semidirect
165. #3284C22semidirect
166. #3284C22semidirect
167. #3284C22semidirect
168. #3284C22semidirect
169. #3282C22semidirect
170. D4×SD16C22semidirect
171. D4×SD16C22semidirect
172. #3280C22semidirect
173. #3280C22semidirect
174. #3280C22semidirect
175. D4×D8C22semidirect
176. D4×D8C22semidirect
177. #3278C22semidirect
178. #3278C22semidirect
179. #3278C22semidirect
180. #3278C22semidirect
181. #3277C22semidirect
182. #3276C22semidirect
183. #3276C22semidirect
184. #3275C22semidirect
185. #3275C22semidirect
186. #3275C22semidirect
187. #3274C22semidirect
188. #3274C22semidirect
189. #3274C22semidirect
190. #3274C22semidirect
191. #3274C22semidirect
192. #3274C22semidirect
193. #3274C22semidirect
194. #3273C22semidirect
195. #3272C22semidirect
196. #3272C22semidirect
197. #3272C22semidirect
198. #3272C22semidirect
199. #3271C22semidirect
200. #3271C22semidirect
201. #3269C22semidirect
202. #3269C22semidirect
203. #3268C22semidirect
204. #3268C22semidirect
205. #3268C22semidirect
206. #3267C22semidirect
207. #3267C22semidirect
208. #3267C22semidirect
209. #3265C22semidirect
210. #3264C22semidirect
211. #3264C22semidirect
212. #3264C22semidirect
213. #3262C22semidirect
214. #3257C22semidirect
215. #3255C22semidirect
216. #3254C22semidirect
217. #3254C22semidirect
218. #3251C22semidirect
219. #3246C22semidirect
220. #3245C22semidirect
221. #3225C22semidirect
222. #3224C22semidirect
223. #3224C22semidirect
224. #3221C22semidirect
225. #3216C22semidirect
226. #3214C22semidirect
227. #3212C22semidirect
228. #3208C22semidirect
229. #3208C22semidirect
230. #3208C22semidirect
231. #3208C22semidirect
232. #3207C22semidirect
233. #3207C22semidirect
234. #3207C22semidirect
235. #3205C22semidirect
236. #3205C22semidirect
237. #3201C22semidirect
238. #3200C22semidirect
239. #3198C22semidirect
240. #3197C22semidirect
241. #3194C22semidirect
242. #3191C22semidirect
243. #3188C22semidirect
244. #3188C22semidirect
245. #3188C22semidirect
246. #3184C22semidirect
247. #3179C22semidirect
248. #3173C22semidirect
249. #3172C22semidirect
250. #3170C22semidirect
251. #3169C22semidirect
252. #3167C22semidirect
253. #3167C22semidirect
254. #3154C22semidirect
255. #3151C22semidirect
256. #3147C22semidirect
257. C2×#493C22semidirect
258. #3125C22semidirect
259. #3124C22semidirect
260. #3122C22semidirect
261. #3118C22semidirect
262. #3115C22semidirect
263. #3115C22semidirect
264. #3107C22semidirect
265. #3107C22semidirect
266. #3107C22semidirect
267. #3107C22semidirect
268. #3106C22semidirect
269. #3106C22semidirect
270. #3106C22semidirect
271. #3104C22semidirect
272. #3103C22semidirect
273. #3102C22semidirect
274. #3063C22semidirect
275. #3058C22semidirect
276. #3055C22semidirect
277. #3055C22semidirect
278. #3054C22semidirect
279. #3046C22semidirect
280. #3041C22semidirect
281. #3038C22semidirect
282. #3038C22semidirect
283. #3038C22semidirect
284. #3037C22semidirect
285. #3035C22semidirect
286. #3035C22semidirect
287. #3012C22semidirect
288. #3009C22semidirect
289. #3008C22semidirect
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. #2946C22semidirect
310. C4×#137C22semidirect
311. C4×#135C22semidirect
312. C4×#135C22semidirect
313. D4×M16C22semidirect
314. #2933C22semidirect
315. #2931C22semidirect
316. C2×#436C22semidirect
2025. SD16H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#630212
#630142
#624652
#624382
#624232
#624172
#623432
#623182
#623052
#622592
#620732
#620672
#620462
#620312
#619992
#619972
#619882
#619862
#616682
#616622
#616252
#616142
#616082
#615982
#615672
#615662
#615542
#614942
#614472
#614342
#610892
#610742
#610702
#610382
#603232