Finite Group Databasebeta

← #10575191

Subgroups — #10575191

Order 512.

7470 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62857C211yesmaximal, characteristic, complemented
2#62654C211yesmaximal, characteristic, complemented
3#60599C213yesmaximal, complemented
4#60597C213yesmaximal, complemented
5#60595C213yesmaximal, complemented
6#60592C213yesmaximal, complemented
7#60588C213yesmaximal, complemented
8#60585C213yesmaximal, complemented
9#60581C213yesmaximal, complemented
10#60580C213yesmaximal, complemented
11#60577C213yesmaximal, complemented
12#60574C213yesmaximal, complemented
13#60572C213yesmaximal, complemented
14#60571C213yesmaximal, complemented
15#60567C213yesmaximal, complemented
16#60565C213yesmaximal, complemented
17#60557C213yesmaximal, complemented
18C2×#3125C213yesmaximal, complemented
19#60525C211yesmaximal, characteristic, complemented
20#60522C211yesmaximal, characteristic, complemented
21#60497C211yesmaximal, characteristic, complemented
22#60495C211yesmaximal, characteristic, complemented
23#60433C211yesmaximal, characteristic, complemented
24#60430C211yesmaximal, characteristic, complemented
25#60377C211yesmaximal, characteristic, complemented
26#60376C211yesmaximal, characteristic, complemented
27#60176C211yesmaximal, characteristic, complemented
28#60175C211yesmaximal, characteristic, complemented
29C4×#577C211yesmaximal, characteristic, complemented
30C4×#577C211yesmaximal, characteristic, complemented
31#60129C211yesmaximal, characteristic, complemented
32C2×#585C2211yescharacteristic
33C2×#578C2211yescharacteristic
34C2×#577C2211yescharacteristic
35C2×#577C2211yescharacteristic
36C2×#576C2211yescharacteristic
37#3524—21no—
38#3522—21no—
39#3521—23no—
40#3520—23no—
41#3518—21no—
42#3516—21no—
43#3514—23no—
44#3513—23no—
45#3511C2213yescomplemented
46#3510C2213yescomplemented
47#3503C2211yescharacteristic, complemented
48#3500C2211yescharacteristic, complemented
49#3495C2213yescomplemented
50#3494C2213yescomplemented
51#3489C2211yescharacteristic
52#3488C2211yescharacteristic
53#3461C2213yescomplemented
54#3460C2213yescomplemented
55#3455C2213yescomplemented
56C2×#542C2213yescomplemented
57C4×2−1+4—21no—
58C4×2−1+4—21no—
59C4×2−1+4C2211yescharacteristic
60C4×2−1+4C2211yescharacteristic
61C4×2−1+4C2211yescharacteristic, complemented
62C4×2−1+4C2213yescomplemented
63C4×2−1+4C2213yescomplemented
64C4×H(5,𝔽2)—23no—
65C4×H(5,𝔽2)—23no—
66C4×H(5,𝔽2)C2211yescharacteristic
67C4×H(5,𝔽2)C2211yescharacteristic
68C4×H(5,𝔽2)C2211yescharacteristic, complemented
69C4×H(5,𝔽2)C2213yescomplemented
70C4×H(5,𝔽2)C2213yescomplemented
71#3428—21no—
72#3428—23no—
73#3428C2211yescharacteristic
74#3428C2213yescomplemented
75#3428C2213yescomplemented
76C2×#520—23no—
77C2×#520—21no—
78C2×#520C2211yescharacteristic
79C2×#520C2213yescomplemented
80C2×#520C2213yescomplemented
81#3127C2213yescomplemented
82#3126C2213yescomplemented
83#3125C2213yescomplemented
84#3125C2216yescomplemented
85#3125C2216yescomplemented
86#3125C2216yescomplemented
87#3125C2216yescomplemented
88#3125C2216yescomplemented
89#3125C2216yescomplemented
90#3125C2216yescomplemented
91#3125C2211yescharacteristic, complemented
92#3125C2216yescomplemented
93#3125C2216yescomplemented
94#3124C2213yescomplemented
95#3124C2213yescomplemented
96#3124C2216yescomplemented
97#3124C2216yescomplemented
98#3123C2213yescomplemented
99#3122C2213yescomplemented
100#3121C2213yescomplemented
101#3121C2213yescomplemented
102#3121C2216yescomplemented
103#3121C2216yescomplemented
104#3120C2213yescomplemented
105#3120C2213yescomplemented
106#3120C2216yescomplemented
107#3120C2216yescomplemented
108#3119C2213yescomplemented
109#3119C2213yescomplemented
110#3119C2216yescomplemented
111#3119C2216yescomplemented
112#3118C2213yescomplemented
113#3118C2213yescomplemented
114#3118C2216yescomplemented
115#3118C2216yescomplemented
116#3117C2216yescomplemented
117#3116C2216yescomplemented
118#3115C2216yescomplemented
119#3114C2216yescomplemented
120#3113C2216yescomplemented
121#3111C2216yescomplemented
122#3111C2216yescomplemented
123#3109C2216yescomplemented
124#3108C2216yescomplemented
125#3107C2216yescomplemented
126#3106C2216yescomplemented
127#3105C2216yescomplemented
128#3103C2216yescomplemented
129#3102C2216yescomplemented
130#3102C2216yescomplemented
131#3101C2216yescomplemented
132#3099C2213yescomplemented
133#3099C2213yescomplemented
134#3099C2213yescomplemented
135#3099C2213yescomplemented
136#3097C2213yescomplemented
137#3097C2213yescomplemented
138#3096C2213yescomplemented
139#3096C2213yescomplemented
140#3095C2213yescomplemented
141#3094C2213yescomplemented
142#3092C2213yescomplemented
143#3092C2213yescomplemented
144#3091C2213yescomplemented
145#3091C2213yescomplemented
146C2×#481C2213yescomplemented
147C2×#483C2213yescomplemented
148#3084C2213yescomplemented
149#3084C2213yescomplemented
150#3084C2213yescomplemented
151#3084C2213yescomplemented
152#3082C2213yescomplemented
153#3082C2213yescomplemented
154#3081C2213yescomplemented
155#3081C2213yescomplemented
156#3079C2213yescomplemented
157#3079C2213yescomplemented
158#3078C2213yescomplemented
159#3077C2213yescomplemented
160#3076C2213yescomplemented
161#3076C2213yescomplemented
162C2×#475C2213yescomplemented
163C2×#476C2213yescomplemented
164#3046C2213yescomplemented
165#3046C2213yescomplemented
166#3045C2213yescomplemented
167#3045C2213yescomplemented
168#3044C2213yescomplemented
169#3043C2213yescomplemented
170#3042C2213yescomplemented
171#3041C2213yescomplemented
172#3040C2213yescomplemented
173#3040C2213yescomplemented
174#3037C2213yescomplemented
175#3036C2213yescomplemented
176#3035C2213yescomplemented
177#3035C2213yescomplemented
178C2×#464C2213yescomplemented
179C2×#463C2213yescomplemented
180#3013C2213yes—
181#3013C2213yescomplemented
182#3012C2213yes—
183#3012C2213yescomplemented
184#3011C2213yescomplemented
185#3010C2213yes—
186#3009C2213yescomplemented
187#3008C2213yes—
188#3007C2213yescomplemented
189#3006C2213yes—
190#3005C2213yes—
191#3005C2213yescomplemented
192#3002C2213yes—
193#3002C2213yescomplemented
194C2×#452C2213yescomplemented
195C2×#449C2213yes—
196#2952C2213yescomplemented
197#2952C2213yescomplemented
198#2952C2213yescomplemented
199#2952C2213yescomplemented
200#2950C2213yescomplemented
201#2949C2213yescomplemented
202#2949C2213yescomplemented
203#2948C2213yescomplemented
204#2947C2213yescomplemented
205#2947C2213yescomplemented
206#2947C2213yescomplemented
207#2947C2213yescomplemented
208#2946C2213yescomplemented
209#2946C2213yescomplemented
210#2946C2213yescomplemented
211#2946C2213yescomplemented
212C4×#137C2213yescomplemented
213C4×#137C2213yescomplemented
214C4×#137C2213yescomplemented
215C4×#137C2213yescomplemented
216C4×AGL(1,ℤ/8)C2213yescomplemented
217C4×AGL(1,ℤ/8)C2213yescomplemented
218C4×AGL(1,ℤ/8)C2213yescomplemented
219C4×AGL(1,ℤ/8)C2213yescomplemented
220#2943C2213yescomplemented
221#2943C2213yescomplemented
222C2×#442C2213yescomplemented
223C2×#441C2213yescomplemented
224C4×#135C2213yescomplemented
225C4×#135C2213yescomplemented
226C2×C4×SD16C2213yescomplemented
227C2×C4×SD16C2213yescomplemented
228#2925C2213yescomplemented
229#2925C2213yescomplemented
230#2924C2213yescomplemented
231#2924C2213yescomplemented
232#2923C2213yescomplemented
233#2922C2213yescomplemented
234#2921C2213yescomplemented
235C2×#433C2213yescomplemented
236#2912C2211yescharacteristic, complemented
237#2912C2211yescharacteristic, complemented
238#2912C2211yescharacteristic, complemented
239#2912C2211yescharacteristic, complemented
240#2906C2211yescharacteristic, complemented
241#2906C2211yescharacteristic, complemented
242#2898C2211yescharacteristic
243#2898C2211yescharacteristic
244#2898C2211yescharacteristic, complemented
245#2898C2211yescharacteristic, complemented
246#2897C2211yescharacteristic
247#2897C2211yescharacteristic
248#2897C2211yescharacteristic, complemented
249#2897C2211yescharacteristic, complemented
250#2880C2211yescharacteristic
251#2880C2211yescharacteristic
252#2875C2211yescharacteristic, complemented
253C4×#131C2211yescharacteristic, complemented
254#585—28no—
255#585—28no—
256C2×2−1+4—21no—
257C2×2−1+4C2313yes—
258C2×2−1+4C2311yescharacteristic
259C2×2−1+4C2311yescharacteristic
260C2×H(5,𝔽2)—23no—
261C2×H(5,𝔽2)C2313yes—
262C2×H(5,𝔽2)C2311yescharacteristic
263C2×H(5,𝔽2)C2311yescharacteristic
264C22×#41—23no—
265C22×#41—21no—
266C22×#41C2313yes—
267C22×#41C2313yes—
268C22×#41C2311yescharacteristic
269#578—28no—
270#577—28no—
271#577—28no—
272#576—28no—
273C2×#137C2313yes—
274C2×#137C2313yes—
275C2×#137C2313yes—
276C2×#137C2313yes—
277C2×AGL(1,ℤ/8)C2313yes—
278C2×AGL(1,ℤ/8)C2313yes—
279C2×AGL(1,ℤ/8)C2313yes—
280C2×AGL(1,ℤ/8)C2313yes—
281C2×#135C2313yes—
282C2×#135C2313yes—
283C2×#135C2313yes—
284C2×#135C2313yes—
285C22×Q16C2313yes—
286C22×SD16C2313yes—
287C22×SD16C2313yes—
288C22×D8C2313yes—
289C2×#131C2311yescharacteristic
290C2×#131C2311yescharacteristic
291C2×#131C2311yescharacteristic
292C2×#131C2311yescharacteristic
293#559—23no—
294#559—23no—
295Q82—21no—
296#557—21no—
297#556—23no—
298#556—23no—
299#556—23no—
300#556—23no—
301#555—23no—
302#555—23no—
303#554—23no—
304#554—23no—
305#554—23no—
306#553—26no—
307#553—23no—
308#553—23no—
309#552—23no—
310#552—26no—
311#552—23no—
312#551—26no—
313#551—26no—
314#551—26no—
315#551—26no—
316#550—21no—
317D4×Q8—21no—
318D4×Q8—23no—
319#548—21no—
320#548—21no—
321#548—21no—
322#548—21no—
323#548—26no—
324#547—23no—
325#547—23no—
326#547—23no—
327#546—23no—
328#546—23no—
329#546—23no—
330#546—23no—
331#546—26no—
332D42—23no—
333#544C2313yes—
334#544C2313yes—
335#542—23no—
336#542—23no—
337#542—23no—
338#542—23no—
339#542—23no—
340#542—23no—
341#542C2313yes—
342#542C2316yes—
343#542C2316yes—
344#542C2313yes—
345#542C2311yescharacteristic
346#542C2313yes—
347#542C2316yes—
348#541—23no—
349#541C2313yes—
350#541C2313yes—
351#540—23no—
352#540C2313yes—
353#540C2313yes—
354#539—26no—
355#539—23no—
356#539—23no—
357#538—26no—
358#538—23no—
359#538—23no—
360#537C2313yes—
361#537C2313yes—
362#536C2313yes—
363#536C2313yes—
364#535C2313yes—
365#535C2313yes—
366#533—23no—
367#533C2316yes—
368#533C2313yes—
369#532—23no—
370#532C2313yes—
371#532C2316yes—
372C2×C4⋊Q8C2313yes—
373#529—23no—
374#529—23no—
375#529—26no—
376#529—23no—
377#529—23no—
378#529—23no—
379#529—23no—
380#529C2316yes—
381#529C2316yes—
382C2×#126—23no—
383C2×#124—23no—
384C2×#124C2313yes—
385#525—26no—
386#525C2313yes—
387#525C2313yes—
388C2×#123—23no—
389C2×C22⋊Q8—23no—
390C2×C22⋊Q8C2313yes—
391C2×#121C2313yes—
392#520—23no—
393#520—21no—
394#520—21no—
395#520—21no—
396#520—23no—
397#520—23no—
398#520—21no—
399#520—23no—
400#520—23no—
401#520—26no—
402#520—23no—
403#520—26no—
404#520—23no—
405#520—23no—
406#520—23no—
407#520—23no—
408#520—26no—
409#520—23no—
410#520—23no—
411#520—23no—
412#520—23no—
413#520—23no—
414#520—23no—
415#520—23no—
416#520—23no—
417#520D413yes—
418#520D411yescharacteristic
419#520D413yes—
420#520D411yescharacteristic
421#520C2313yes—
422#520C2313yes—
423#520C2313yes—
424#520C2313yes—
425#520C2316yes—
426#520C2316yes—
427#520C2311yescharacteristic
428#520C2313yes—
429#520C2316yes—
430#520C2313yes—
431#520C2313yes—
432#520C2313yes—
433#520C2313yes—
434#520C2313yes—
435#520C2313yes—
436#520C2311yescharacteristic
437#520C2311yescharacteristic
438#520C2311yescharacteristic
439#520C2311yescharacteristic
440#519—21no—
441#519—21no—
442#519—23no—
443#519—23no—
444#519—21no—
445#519D411yescharacteristic
446#519D411yescharacteristic
447#519C2313yes—
448#519C2313yes—
449#519C2313yes—
450#519C2313yes—
451#519C2313yes—
452#518—23no—
453#518—23no—
454#518—26no—
455#518—23no—
456#518—23no—
457#518—26no—
458#518—23no—
459#518—23no—
460#518—23no—
461#518—26no—
462#518D413yes—
463#518D413yes—
464#518C2313yes—
465#518C2313yes—
466#518C2313yes—
467#518C2313yes—
468#518C2313yes—
469C4×#41—21no—
470C4×#41—21no—
471C4×#41—23no—
472C4×#41—23no—
473C4×#41—21no—
474C4×#41—23no—
475C4×#41—23no—
476C4×#41—26no—
477C4×#41—23no—
478C4×#41—23no—
479C4×#41—26no—
480C4×#41—23no—
481C4×#41—23no—
482C4×#41—23no—
483C4×#41—23no—
484C4×#41—23no—
485C4×#41C2313yes—
486C4×#41C2313yes—
487C4×#41C2316yes—
488C4×#41C2316yes—
489C4×#41C2313yes—
490C4×#41C2313yes—
491C4×#41C2313yes—
492C4×#41C2313yes—
493C4×#41C2311yescharacteristic
494C4×#41C2311yescharacteristic
495C4×#41C2313yes—
496C4×#41C2313yes—
497C2×C4×Q8—21no—
498C2×C4×Q8—21no—
499C2×C4×Q8—21no—
500C2×C4×Q8—23no—
501C2×C4×Q8—23no—
502C2×C4×Q8—21no—
503C2×C4×Q8C2313yes—
504C2×C4×Q8C2316yes—
505C2×C4×Q8C2313yes—
506C2×C4×Q8C2313yes—
507C2×C4×D4—23no—
508C2×C4×D4—23no—
509C2×C4×D4—23no—
510C2×C4×D4—26no—
511C2×C4×D4—23no—
512C2×C4×D4—26no—
513C2×C4×D4—23no—
514C2×C4×D4—23no—
515C2×C4×D4—23no—
516C2×C4×D4—23no—
517C2×C4×D4—26no—
518C2×C4×D4C2313yes—
519C2×C4×D4C2316yes—
520C2×C4×D4C2313yes—
521C2×C4×D4C2313yes—
522C2×#117—23no—
523C2×#117—23no—
524C2×#117—26no—
525C2×#117—23no—
526C2×#117—23no—
527C2×#117C2313yes—
528C2×#117C2313yes—
529C2×#117C2313yes—
530C22×C4⋊C4—23no—
531C22×C4⋊C4—23no—
532C22×C4⋊C4C2313yes—
533#485C2313yes—
534#485C2313yes—
535#485C2313yes—
536#485C2313yes—
537#485C2316yes—
538#485C2316yes—
539#484C2313yes—
540#484C2313yes—
541#484C2316yes—
542#483C2313yes—
543#483C2316yes—
544#483C2316yes—
545#483C2316yes—
546#483C2311yescharacteristic
547#483C2316yes—
548#482C2313yes—
549#482C2313yes—
550#482C2313yes—
551#482C2313yes—
552#482C2316yes—
553#482C2316yes—
554#481C2313yes—
555#481C2316yes—
556#481C2316yes—
557#481C2316yes—
558#481C2311yescharacteristic
559#481C2316yes—
560#480C2313yes—
561#480C2313yes—
562#480C2316yes—
563#479C2313yes—
564#479C2313yes—
565#479C2313yes—
566#479C2313yes—
567#479C2316yes—
568#479C2316yes—
569#478C2313yes—
570#478C2313yes—
571#478C2313yes—
572#478C2313yes—
573#478C2316yes—
574#478C2316yes—
575#477C2313yes—
576#477C2313yes—
577#477C2316yes—
578#476C2311yescharacteristic
579#476C2313yes—
580#476C2316yes—
581#476C2316yes—
582#476C2316yes—
583#476C2316yes—
584#475C2313yes—
585#475C2316yes—
586#475C2316yes—
587#475C2316yes—
588#475C2311yescharacteristic
589#475C2316yes—
590#474C2313yes—
591#474C2313yes—
592#474C2316yes—
593#464C2316yes—
594#464C2316yes—
595#464C2316yes—
596#464C2316yes—
597#464C2313yes—
598#464C2311yescharacteristic
599#464C2316yes—
600#464C2313yes—
601#464C2313yes—
602#463C2316yes—
603#463C2316yes—
604#463C2316yes—
605#463C2316yes—
606#463C2313yes—
607#463C2311yescharacteristic
608#463C2316yes—
609#463C2313yes—
610#463C2313yes—
611#462C2316yes—
612#462C2313yes—
613#462C2313yes—
614#461C2313yes—
615#461C2316yes—
616#461C2313yes—
617#460C2313yes—
618#460C2316yes—
619#460C2313yes—
620#459C2316yes—
621#459C2313yes—
622#459C2313yes—
623#452C2316yes—
624#452C2316yes—
625#452C2316yes—
626#452C2316yes—
627#452C2313yes—
628#452C2311yescharacteristic
629#452C2316yes—
630#452C2313yes—
631#452C2313yes—
632#451C2316yes—
633#451C2313yes—
634#451C2313yes—
635#450C2313yes—
636#450C2316yes—
637#450C2313yes—
638#449C2316yes—
639#449C2316yes—
640#449C2316yes—
641#449C2316yes—
642#449C2313yes—
643#449C2311yescharacteristic
644#449C2316yes—
645#449C2313yes—
646#449C2313yes—
647#448C2313yes—
648#448C2316yes—
649#448C2313yes—
650#447C2316yes—
651#447C2313yes—
652#447C2313yes—
653#442C2313yes—
654#442C2316yes—
655#442C2316yes—
656#442C2316yes—
657#442C2313yes—
658#442C2316yes—
659#442C2316yes—
660#442C2311yescharacteristic
661#442C2313yes—
662#441C2313yes—
663#441C2316yes—
664#441C2313yes—
665#441C2316yes—
666#441C2316yes—
667#441C2316yes—
668#441C2316yes—
669#441C2313yes—
670#441C2311yescharacteristic
671#440C2316yes—
672#440C2316yes—
673#440C2316yes—
674#440C2316yes—
675#440C2313yes—
676#440C2313yes—
677#440C2313yes—
678#440C2313yes—
679#440C2313yes—
680#440C2313yes—
681#440C2313yes—
682#440C2313yes—
683C4×Q16C2316yes—
684C4×Q16C2316yes—
685C4×Q16C2313yes—
686C4×Q16C2313yes—
687C4×Q16C2313yes—
688C4×Q16C2313yes—
689C4×SD16C2313yes—
690C4×SD16C2316yes—
691C4×SD16C2316yes—
692C4×SD16C2316yes—
693C4×SD16C2313yes—
694C4×SD16C2313yes—
695C4×SD16C2316yes—
696C4×SD16C2313yes—
697C4×SD16C2316yes—
698C4×SD16C2316yes—
699C4×SD16C2316yes—
700C4×SD16C2316yes—
701C4×SD16C2316yes—
702C4×SD16C2316yes—
703C4×SD16C2311yescharacteristic
704C4×SD16C2313yes—
705C4×SD16C2313yes—
706C4×SD16C2311yescharacteristic
707C4×D8C2316yes—
708C4×D8C2316yes—
709C4×D8C2313yes—
710C4×D8C2313yes—
711C4×D8C2313yes—
712C4×D8C2313yes—
713#433C2316yes—
714#433C2316yes—
715#433C2313yes—
716#433C2313yes—
717#433C2316yes—
718#433C2313yes—
719#433C2313yes—
720#433C2313yes—
721#433C2313yes—
722#433C2313yes—
723#433C2311yescharacteristic
724#432C2316yes—
725#432C2316yes—
726#431C2316yes—
727#431C2316yes—
728#428C2313yes—
729#428C2313yes—
730#428C2313yes—
731#428C2313yes—
732#428C2313yes—
733#428C2313yes—
734#428C2313yes—
735#428C2313yes—
736#427C2313yes—
737#427C2313yes—
738#427C2313yes—
739#427C2313yes—
740C2×#106C2313yes—
741C2×#106C2313yes—
742C2×#106C2313yes—
743C2×#106C2313yes—
744#424C2313yes—
745#424C2313yes—
746#424C2313yes—
747#424C2313yes—
748#423C2313yes—
749#423C2313yes—
750C2×C4⋊C8C2313yes—
751C2×C4⋊C8C2313yes—
752#419C2313yes—
753#419C2313yes—
754#419C2313yes—
755#419C2313yes—
756#418C2313yes—
757#418C2313yes—
758#418C2313yes—
759#418C2313yes—
760#417C2313yes—
761#417C2313yes—
762#417C2313yes—
763#417C2313yes—
764#417C2313yes—
765#417C2313yes—
766#417C2313yes—
767#417C2313yes—
768#416C2313yes—
769#416C2313yes—
770#416C2313yes—
771#416C2313yes—
772#416C2313yes—
773#416C2313yes—
774#416C2313yes—
775#416C2313yes—
776C2×#103C2313yes—
777C2×#103C2313yes—
778C2×#103C2313yes—
779C2×#103C2313yes—
780C2×#102C2313yes—
781C2×#102C2313yes—
782C2×#102C2313yes—
783C2×#102C2313yes—
784#408C2313yes—
785#408C2313yes—
786#408C2313yes—
787#408C2313yes—
788#407C2313yes—
789#407C2313yes—
790C2×C22⋊C8C2313yes—
791C2×C22⋊C8C2313yes—
792#405C2313yes—
793#405C2313yes—
794#405C2313yes—
795#405C2313yes—
796C4×M16C2313yes—
797C4×M16C2313yes—
798C2×#97C2313yes—
799C2×C4×C8C2313yes—
8002−1+4—216no—
8012−1+4—212no—
8022−1+4—24no—
8032−1+4—212no—
8042−1+4—24no—
8052−1+4—24no—
8062−1+4#4118yescomplemented
807H(5,𝔽2)—248no—
808H(5,𝔽2)—212no—
809H(5,𝔽2)—24no—
810H(5,𝔽2)—212no—
811H(5,𝔽2)—24no—
812H(5,𝔽2)—24no—
813H(5,𝔽2)#4118yescomplemented
814C2×#41—216no—
815C2×#41—248no—
816C2×#41—212no—
817C2×#41—212no—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—23no—
821C2×#41—21no—
822C2×#41—21no—
823C2×#41—212no—
824C2×#41—26no—
825C2×#41—23no—
826C2×#41—23no—
827C2×#41—23no—
828C2×#41—212no—
829C2×#41—23no—
830C2×#41—23no—
831C2×#41—23no—
832C2×#41—23no—
833C2×#41—26no—
834C2×#41C2×D413yes—
835C2×#41C2×D411yescharacteristic
836C2×#41C2416yes—
837C2×#41C2413yes—
838C2×#41C2413yes—
839C2×#41C2413yes—
840C2×#41C2411yescharacteristic
841C2×#41C2413yes—
842C2×#41C2413yes—
843C2×#41C2413yes—
844C2×#41C2411yescharacteristic
845C22×Q8—23no—
846C22×Q8—21no—
847C22×Q8—21no—
848C22×Q8—23no—
849C22×Q8C2×D411yescharacteristic
850C22×Q8C2413yes—
851C22×Q8C2413yes—
852C22×Q8C2413yes—
853C22×D4—23no—
854C22×D4—23no—
855C22×D4—26no—
856C22×D4—23no—
857C22×D4—23no—
858C22×D4—23no—
859C22×D4—23no—
860C22×D4C2×D413yes—
861C22×D4C2413yes—
862C22×D4C2413yes—
863C22×D4C2413yes—
864C23×C4—23no—
865C23×C4—23no—
866C23×C4—23no—
867C23×C4—23no—
868C23×C4—23no—
869C23×C4—26no—
870C23×C4—23no—
871C23×C4C2413yes—
872#137—212no—
873#137—212no—
874#137—212no—
875#137—212no—
876AGL(1,ℤ/8)—212no—
877AGL(1,ℤ/8)—212no—
878AGL(1,ℤ/8)—212no—
879AGL(1,ℤ/8)—212no—
880#135—212no—
881#135—212no—
882#135—212no—
883#135—212no—
884C2×Q16—212no—
885C2×Q16C2413yes—
886C2×Q16C2416yes—
887C2×Q16C2411yescharacteristic
888C2×Q16C2413yes—
889C2×Q16C2413yes—
890C2×SD16—212no—
891C2×SD16—212no—
892C2×SD16C2413yes—
893C2×SD16C2413yes—
894C2×SD16C2416yes—
895C2×SD16C2416yes—
896C2×SD16C2411yescharacteristic
897C2×SD16C2411yescharacteristic
898C2×SD16C2413yes—
899C2×SD16C2413yes—
900C2×SD16C2413yes—
901C2×SD16C2413yes—
902C2×D8—212no—
903C2×D8C2413yes—
904C2×D8C2416yes—
905C2×D8C2411yescharacteristic
906C2×D8C2413yes—
907C2×D8C2413yes—
908#131—24no—
909#131—24no—
910#131—24no—
911#131—24no—
912C2×M16C2413yes—
913C2×M16C2413yes—
914C2×M16C2413yes—
915C2×M16C2413yes—
916C22×C8C2413yes—
917C22×C8C2413yes—
918C22×C8C2413yes—
919C22×C8C2413yes—
920C4⋊Q8—23no—
921C4⋊Q8—23no—
922C4⋊Q8—23no—
923C4⋊Q8—23no—
924C4⋊Q8—23no—
925C4⋊Q8C2413yes—
926C4⋊Q8C2413yes—
927C4⋊Q8C2416yes—
928C4⋊Q8C2411yescharacteristic
929#127—23no—
930#127C2413yes—
931#126—23no—
932#126—26no—
933#126—26no—
934#126—26no—
935#126—21no—
936#126—23no—
937#126—23no—
938#126—23no—
939#126—23no—
940#126—23no—
941#126—23no—
942#126—26no—
943#126—26no—
944#125—23no—
945#125—23no—
946#125—23no—
947#125—23no—
948#125—23no—
949#125—23no—
950#125—26no—
951#125C2413yes—
952#125C2413yes—
953#124—23no—
954#124—23no—
955#124—23no—
956#124—26no—
957#124—26no—
958#124—26no—
959#124—21no—
960#124—23no—
961#124—23no—
962#124—23no—
963#124—23no—
964#124—26no—
965#124C2413yes—
966#124C2416yes—
967#124C2411yescharacteristic
968#123—26no—
969#123—23no—
970#123—23no—
971#123—26no—
972#123—26no—
973#123—23no—
974#123—23no—
975#123—23no—
976#123—23no—
977#123—23no—
978#123—26no—
979#123—26no—
980#123—26no—
981#123—21no—
982#123—26no—
983#123—23no—
984#123—23no—
985C22⋊Q8—23no—
986C22⋊Q8—23no—
987C22⋊Q8—23no—
988C22⋊Q8—23no—
989C22⋊Q8—23no—
990C22⋊Q8—23no—
991C22⋊Q8—26no—
992C22⋊Q8—23no—
993C22⋊Q8—26no—
994C22⋊Q8—26no—
995C22⋊Q8—26no—
996C22⋊Q8—21no—
997C22⋊Q8—23no—
998C22⋊Q8—23no—
999C22⋊Q8—23no—
1000C22⋊Q8—23no—
1001C22⋊Q8—26no—
1002C22⋊Q8—26no—
1003C22⋊Q8C2413yes—
1004C22⋊Q8C2416yes—
1005C22⋊Q8C2411yescharacteristic
1006C22⋊Q8C2413yes—
1007C22⋊Q8C2413yes—
1008#121—26no—
1009#121—26no—
1010#121—23no—
1011#121—23no—
1012#121—23no—
1013#121—23no—
1014#121—23no—
1015#121—23no—
1016#121—26no—
1017#121—23no—
1018#121—23no—
1019#121—23no—
1020#121—23no—
1021#121—23no—
1022#121—23no—
1023#121C2413yes—
1024#121C2416yes—
1025#121C2411yescharacteristic
1026#121C2413yes—
1027#121C2413yes—
1028#120—23no—
1029#120—23no—
1030#120—26no—
1031#120—26no—
1032C4×Q8—23no—
1033C4×Q8—23no—
1034C4×Q8—21no—
1035C4×Q8—21no—
1036C4×Q8—21no—
1037C4×Q8—21no—
1038C4×Q8—23no—
1039C4×Q8—23no—
1040C4×Q8—23no—
1041C4×Q8—23no—
1042C4×Q8—23no—
1043C4×Q8—23no—
1044C4×Q8—23no—
1045C4×Q8—23no—
1046C4×Q8—23no—
1047C4×Q8—23no—
1048C4×Q8—23no—
1049C4×Q8—23no—
1050C4×Q8—26no—
1051C4×Q8—26no—
1052C4×Q8—23no—
1053C4×Q8—23no—
1054C4×Q8—23no—
1055C4×Q8—23no—
1056C4×Q8—23no—
1057C4×Q8—23no—
1058C4×Q8—26no—
1059C4×Q8C2×D411yescharacteristic
1060C4×Q8C2×D411yescharacteristic
1061C4×Q8C2×D413yes—
1062C4×Q8C2×D411yescharacteristic
1063C4×Q8C2×D413yes—
1064C4×Q8C2×D413yes—
1065C4×Q8C2×D411yescharacteristic
1066C4×Q8C2×D413yes—
1067C4×Q8C2413yes—
1068C4×Q8C2416yes—
1069C4×Q8C2413yes—
1070C4×Q8C2416yes—
1071C4×Q8C2413yes—
1072C4×Q8C2413yes—
1073C4×Q8C2413yes—
1074C4×Q8C2416yes—
1075C4×Q8C2413yes—
1076C4×Q8C2411yescharacteristic
1077C4×Q8C2413yes—
1078C4×Q8C2411yescharacteristic
1079C4×Q8C2411yescharacteristic
1080C4×Q8C2413yes—
1081C4×Q8C2413yes—
1082C4×D4—26no—
1083C4×D4—26no—
1084C4×D4—23no—
1085C4×D4—23no—
1086C4×D4—23no—
1087C4×D4—23no—
1088C4×D4—23no—
1089C4×D4—23no—
1090C4×D4—23no—
1091C4×D4—23no—
1092C4×D4—23no—
1093C4×D4—23no—
1094C4×D4—26no—
1095C4×D4—26no—
1096C4×D4—23no—
1097C4×D4—23no—
1098C4×D4—23no—
1099C4×D4—23no—
1100C4×D4—23no—
1101C4×D4—26no—
1102C4×D4—26no—
1103C4×D4—23no—
1104C4×D4—23no—
1105C4×D4—23no—
1106C4×D4—26no—
1107C4×D4—23no—
1108C4×D4—23no—
1109C4×D4—23no—
1110C4×D4—23no—
1111C4×D4—26no—
1112C4×D4—23no—
1113C4×D4—23no—
1114C4×D4—23no—
1115C4×D4—23no—
1116C4×D4—23no—
1117C4×D4—23no—
1118C4×D4—23no—
1119C4×D4—23no—
1120C4×D4—23no—
1121C4×D4—23no—
1122C4×D4—26no—
1123C4×D4—26no—
1124C4×D4—26no—
1125C4×D4—26no—
1126C4×D4—26no—
1127C4×D4—26no—
1128C4×D4—26no—
1129C4×D4—26no—
1130C4×D4—26no—
1131C4×D4—23no—
1132C4×D4—26no—
1133C4×D4—23no—
1134C4×D4—23no—
1135C4×D4—23no—
1136C4×D4—26no—
1137C4×D4—23no—
1138C4×D4—23no—
1139C4×D4—21no—
1140C4×D4—21no—
1141C4×D4—26no—
1142C4×D4—23no—
1143C4×D4—23no—
1144C4×D4—26no—
1145C4×D4—26no—
1146C4×D4—23no—
1147C4×D4—23no—
1148C4×D4—23no—
1149C4×D4—23no—
1150C4×D4—26no—
1151C4×D4—23no—
1152C4×D4—23no—
1153C4×D4C2×D413yes—
1154C4×D4C2×D413yes—
1155C4×D4C2×D416yes—
1156C4×D4C2×D413yes—
1157C4×D4C2×D413yes—
1158C4×D4C2×D416yes—
1159C4×D4C2×D413yes—
1160C4×D4C2×D416yes—
1161C4×D4C2×D413yes—
1162C4×D4C2×D413yes—
1163C4×D4C2×D413yes—
1164C4×D4C2×D416yes—
1165C4×D4C2413yes—
1166C4×D4C2416yes—
1167C4×D4C2413yes—
1168C4×D4C2416yes—
1169C4×D4C2413yes—
1170C4×D4C2413yes—
1171C4×D4C2413yes—
1172C4×D4C2416yes—
1173C4×D4C2413yes—
1174C4×D4C2411yescharacteristic
1175C4×D4C2413yes—
1176C4×D4C2411yescharacteristic
1177C4×D4C2411yescharacteristic
1178C4×D4C2413yes—
1179C4×D4C2413yes—
1180#117—23no—
1181#117—23no—
1182#117—26no—
1183#117—23no—
1184#117—23no—
1185#117—26no—
1186#117—21no—
1187#117—23no—
1188#117—23no—
1189#117—23no—
1190#117—23no—
1191#117—23no—
1192#117—26no—
1193#117—26no—
1194#117—23no—
1195#117—23no—
1196#117—26no—
1197#117—26no—
1198#117—23no—
1199#117—23no—
1200#117—23no—
1201#117—23no—
1202#117—26no—
1203#117—23no—
1204#117—23no—
1205#117—26no—
1206#117—26no—
1207#117—23no—
1208#117—23no—
1209#117—23no—
1210#117—23no—
1211#117—26no—
1212#117—26no—
1213#117C2×D413yes—
1214#117C2×D413yes—
1215#117C2×D416yes—
1216#117C2×D413yes—
1217#117C2×D413yes—
1218#117C2×D413yes—
1219#117C2×D413yes—
1220#117C2413yes—
1221#117C2413yes—
1222#117C2413yes—
1223#117C2413yes—
1224#117C2413yes—
1225#117C2413yes—
1226#117C2413yes—
1227#117C2411yescharacteristic
1228#117C2413yes—
1229#117C2413yes—
1230#117C2413yes—
1231#117C2413yes—
1232C2×C4⋊C4—23no—
1233C2×C4⋊C4—23no—
1234C2×C4⋊C4—23no—
1235C2×C4⋊C4—23no—
1236C2×C4⋊C4—26no—
1237C2×C4⋊C4—23no—
1238C2×C4⋊C4—23no—
1239C2×C4⋊C4—23no—
1240C2×C4⋊C4—23no—
1241C2×C4⋊C4—23no—
1242C2×C4⋊C4—26no—
1243C2×C4⋊C4—23no—
1244C2×C4⋊C4—23no—
1245C2×C4⋊C4—23no—
1246C2×C4⋊C4—23no—
1247C2×C4⋊C4—23no—
1248C2×C4⋊C4—26no—
1249C2×C4⋊C4—26no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—23no—
1252C2×C4⋊C4—23no—
1253C2×C4⋊C4—23no—
1254C2×C4⋊C4C2×D413yes—
1255C2×C4⋊C4C2×D413yes—
1256C2×C4⋊C4C2×D413yes—
1257C2×C4⋊C4C2×D413yes—
1258C2×C4⋊C4C2413yes—
1259C2×C4⋊C4C2413yes—
1260C2×C4⋊C4C2413yes—
1261C2×C4⋊C4C2416yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2413yes—
1264C2×C4⋊C4C2413yes—
1265C2×C22⋊C4—23no—
1266C2×C22⋊C4—23no—
1267C2×C22⋊C4—23no—
1268C2×C22⋊C4—23no—
1269C2×C22⋊C4—26no—
1270C2×C22⋊C4—23no—
1271C2×C22⋊C4—23no—
1272C2×C22⋊C4—23no—
1273C2×C22⋊C4—23no—
1274C2×C22⋊C4—26no—
1275C2×C22⋊C4—26no—
1276C2×C22⋊C4—23no—
1277C2×C22⋊C4—23no—
1278C2×C22⋊C4—23no—
1279C2×C22⋊C4—23no—
1280C2×C22⋊C4—26no—
1281C2×C22⋊C4C2×D413yes—
1282C2×C22⋊C4C2×D413yes—
1283C2×C22⋊C4C2×D416yes—
1284C2×C42—23no—
1285C2×C42—23no—
1286C2×C42—26no—
1287C2×C42—23no—
1288C2×C42—23no—
1289C2×C42—23no—
1290C2×C42—23no—
1291C2×C42—26no—
1292C2×C42—26no—
1293C2×C42—23no—
1294C2×C42—23no—
1295C2×C42—23no—
1296C2×C42—23no—
1297C2×C42C2413yes—
1298C2×C42C2413yes—
1299C2×C42C2416yes—
1300#107C2413yes—
1301#107C2413yes—
1302#107C2413yes—
1303#107C2413yes—
1304#107C2413yes—
1305#107C2413yes—
1306#107C2413yes—
1307#107C2413yes—
1308#106C2413yes—
1309#106C2413yes—
1310#106C2413yes—
1311#106C2413yes—
1312#106C2416yes—
1313#106C2416yes—
1314#106C2416yes—
1315#106C2416yes—
1316#106C2411yescharacteristic
1317#106C2411yescharacteristic
1318#106C2411yescharacteristic
1319#106C2411yescharacteristic
1320C4⋊C8C2411yescharacteristic
1321C4⋊C8C2411yescharacteristic
1322C4⋊C8C2413yes—
1323C4⋊C8C2413yes—
1324C4⋊C8C2413yes—
1325C4⋊C8C2413yes—
1326C4⋊C8C2413yes—
1327C4⋊C8C2413yes—
1328C4⋊C8C2416yes—
1329C4⋊C8C2416yes—
1330#103C2413yes—
1331#103C2413yes—
1332#103C2413yes—
1333#103C2413yes—
1334#103C2416yes—
1335#103C2416yes—
1336#103C2416yes—
1337#103C2416yes—
1338#103C2411yescharacteristic
1339#103C2411yescharacteristic
1340#103C2411yescharacteristic
1341#103C2411yescharacteristic
1342#103C2413yes—
1343#103C2413yes—
1344#103C2413yes—
1345#103C2413yes—
1346#103C2413yes—
1347#103C2413yes—
1348#103C2413yes—
1349#103C2413yes—
1350#102C2413yes—
1351#102C2413yes—
1352#102C2413yes—
1353#102C2413yes—
1354#102C2416yes—
1355#102C2416yes—
1356#102C2416yes—
1357#102C2416yes—
1358#102C2411yescharacteristic
1359#102C2411yescharacteristic
1360#102C2411yescharacteristic
1361#102C2411yescharacteristic
1362#102C2413yes—
1363#102C2413yes—
1364#102C2413yes—
1365#102C2413yes—
1366#102C2413yes—
1367#102C2413yes—
1368#102C2413yes—
1369#102C2413yes—
1370C22⋊C8C2411yescharacteristic
1371C22⋊C8C2411yescharacteristic
1372C22⋊C8C2413yes—
1373C22⋊C8C2413yes—
1374C22⋊C8C2413yes—
1375C22⋊C8C2413yes—
1376C22⋊C8C2413yes—
1377C22⋊C8C2413yes—
1378C22⋊C8C2416yes—
1379C22⋊C8C2416yes—
1380#97C2411yescharacteristic
1381#97C2413yes—
1382#97C2413yes—
1383#97C2413yes—
1384#97C2416yes—
1385C4×C8C2411yescharacteristic
1386C4×C8C2413yes—
1387C4×C8C2413yes—
1388C4×C8C2413yes—
1389C4×C8C2416yes—
1390C24—23no—
1391C24—23no—
1392C24—23no—
1393C24C22×D413yes—
1394#41—224no—
1395#41—224no—
1396#41—248no—
1397#41—224no—
1398#41—224no—
1399#41—224no—
1400#41—224no—
1401#41—24no—
1402#41—28no—
1403#41—22no—
1404#41—26no—
1405#41—212no—
1406#41—212no—
1407#41—224no—
1408#41—22no—
1409#41—26no—
1410#41—212no—
1411#41—26no—
1412#41—26no—
1413#41—26no—
1414#41—26no—
1415#41—26no—
1416#41—26no—
1417#41—26no—
1418#41—26no—
1419#41—44no—
1420#41—412no—
1421#41—166no—
1422#41C2×#41112yes—
1423#41C2×#41112yes—
1424#41C2×#4114yes—
1425#41C2×#4114yes—
1426C2×Q8—224no—
1427C2×Q8—28no—
1428C2×Q8—24no—
1429C2×Q8—26no—
1430C2×Q8—26no—
1431C2×Q8—23no—
1432C2×Q8—23no—
1433C2×Q8—23no—
1434C2×Q8—21no—
1435C2×Q8—23no—
1436C2×Q8—26no—
1437C2×Q8—26no—
1438C2×Q8—26no—
1439C2×Q8—26no—
1440C2×Q8—44no—
1441C2×Q8—163no—
1442C2×Q8C22×D413yes—
1443C2×Q8C22×D411yescharacteristic
1444C2×Q8C2×#41112yes—
1445C2×Q8C2513yes—
1446C2×Q8C2511yescharacteristic
1447C2×Q8C2511yescharacteristic
1448C2×Q8C2513yes—
1449C2×D4—224no—
1450C2×D4—248no—
1451C2×D4—224no—
1452C2×D4—224no—
1453C2×D4—26no—
1454C2×D4—21no—
1455C2×D4—23no—
1456C2×D4—23no—
1457C2×D4—23no—
1458C2×D4—224no—
1459C2×D4—212no—
1460C2×D4—26no—
1461C2×D4—26no—
1462C2×D4—23no—
1463C2×D4—23no—
1464C2×D4—21no—
1465C2×D4—23no—
1466C2×D4—23no—
1467C2×D4—23no—
1468C2×D4—26no—
1469C2×D4—23no—
1470C2×D4—23no—
1471C2×D4—23no—
1472C2×D4—23no—
1473C2×D4—23no—
1474C2×D4—26no—
1475C2×D4—26no—
1476C2×D4—26no—
1477C2×D4—412no—
1478C2×D4—163no—
1479C2×D4C22×D416yes—
1480C2×D4C22×D413yes—
1481C2×D4C22×D413yes—
1482C2×D4C2×#41112yes—
1483C2×D4C2513yes—
1484C2×D4C2511yescharacteristic
1485C2×D4C2511yescharacteristic
1486C2×D4C2513yes—
1487C22×C4—224no—
1488C22×C4—224no—
1489C22×C4—23no—
1490C22×C4—23no—
1491C22×C4—26no—
1492C22×C4—23no—
1493C22×C4—23no—
1494C22×C4—23no—
1495C22×C4—21no—
1496C22×C4—26no—
1497C22×C4—26no—
1498C22×C4—23no—
1499C22×C4—21no—
1500C22×C4—26no—
1501C22×C4—23no—
1502C22×C4—23no—
1503C22×C4—23no—
1504C22×C4—23no—
1505C22×C4—23no—
1506C22×C4—23no—
1507C22×C4—23no—
1508C22×C4—21no—
1509C22×C4—23no—
1510C22×C4—21no—
1511C22×C4—23no—
1512C22×C4—21no—
1513C22×C4—23no—
1514C22×C4—23no—
1515C22×C4—23no—
1516C22×C4—26no—
1517C22×C4—23no—
1518C22×C4—26no—
1519C22×C4—23no—
1520C22×C4—23no—
1521C22×C4—23no—
1522C22×C4—26no—
1523C22×C4—163no—
1524C22×C4—166no—
1525C22×C4—163no—
1526C22×C4—163no—
1527C22×C4—163no—
1528C22×C4C22×D413yes—
1529C22×C4C22×D413yes—
1530C22×C4C22×D413yes—
1531C22×C4C22×D413yes—
1532C22×C4C22×D413yes—
1533C22×C4C22×D413yes—
1534C22×C4C22×D416yes—
1535C22×C4C22×D413yes—
1536C22×C4C22×D416yes—
1537C22×C4C2513yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2513yes—
1540Q16—26no—
1541Q16—212no—
1542Q16—22no—
1543Q16—26no—
1544Q16—26no—
1545SD16—26no—
1546SD16—212no—
1547SD16—22no—
1548SD16—26no—
1549SD16—26no—
1550SD16—26no—
1551SD16—212no—
1552SD16—22no—
1553SD16—26no—
1554SD16—26no—
1555D8—26no—
1556D8—212no—
1557D8—22no—
1558D8—26no—
1559D8—26no—
1560M16—26no—
1561M16—26no—
1562M16—26no—
1563M16—26no—
1564C2×C8—26no—
1565C2×C8—26no—
1566C2×C8—26no—
1567C2×C8—26no—
1568C2×C8C2511yescharacteristic
1569C2×C8C2511yescharacteristic
1570C2×C8C2513yes—
1571C2×C8C2513yes—
1572C2×C8C2513yes—
1573C2×C8C2513yes—
1574C2×C8C2511yescharacteristic
1575C2×C8C2511yescharacteristic
1576C4⋊C4—23no—
1577C4⋊C4—23no—
1578C4⋊C4—26no—
1579C4⋊C4—23no—
1580C4⋊C4—23no—
1581C4⋊C4—26no—
1582C4⋊C4—23no—
1583C4⋊C4—21no—
1584C4⋊C4—26no—
1585C4⋊C4—23no—
1586C4⋊C4—23no—
1587C4⋊C4—23no—
1588C4⋊C4—23no—
1589C4⋊C4—26no—
1590C4⋊C4—23no—
1591C4⋊C4—23no—
1592C4⋊C4—23no—
1593C4⋊C4—23no—
1594C4⋊C4—21no—
1595C4⋊C4—23no—
1596C4⋊C4—21no—
1597C4⋊C4—23no—
1598C4⋊C4—26no—
1599C4⋊C4—26no—
1600C4⋊C4—21no—
1601C4⋊C4—23no—
1602C4⋊C4—23no—
1603C4⋊C4—23no—
1604C4⋊C4—23no—
1605C4⋊C4—23no—
1606C4⋊C4—21no—
1607C4⋊C4—23no—
1608C4⋊C4—23no—
1609C4⋊C4—23no—
1610C4⋊C4—23no—
1611C4⋊C4—21no—
1612C4⋊C4C22×D411yescharacteristic
1613C4⋊C4C22×D413yes—
1614C4⋊C4C22×D413yes—
1615C4⋊C4C22×D413yes—
1616C4⋊C4C22×D413yes—
1617C4⋊C4C22×D413yes—
1618C4⋊C4C22×D413yes—
1619C4⋊C4C22×D411yescharacteristic
1620C4⋊C4C22×D413yes—
1621C4⋊C4C22×D413yes—
1622C4⋊C4C22×D413yes—
1623C4⋊C4C22×D413yes—
1624C4⋊C4C2513yes—
1625C4⋊C4C2513yes—
1626C4⋊C4C2513yes—
1627C4⋊C4C2513yes—
1628C4⋊C4C2511yescharacteristic
1629C4⋊C4C2511yescharacteristic
1630C4⋊C4C2511yescharacteristic
1631C4⋊C4C2511yescharacteristic
1632C22⋊C4—23no—
1633C22⋊C4—23no—
1634C22⋊C4—23no—
1635C22⋊C4—23no—
1636C22⋊C4—23no—
1637C22⋊C4—23no—
1638C22⋊C4—26no—
1639C22⋊C4—23no—
1640C22⋊C4—23no—
1641C22⋊C4—21no—
1642C22⋊C4—23no—
1643C22⋊C4—21no—
1644C22⋊C4—23no—
1645C22⋊C4—21no—
1646C22⋊C4—23no—
1647C22⋊C4—23no—
1648C22⋊C4—26no—
1649C22⋊C4—23no—
1650C22⋊C4—23no—
1651C22⋊C4—26no—
1652C22⋊C4—23no—
1653C22⋊C4—23no—
1654C22⋊C4—23no—
1655C22⋊C4—26no—
1656C22⋊C4—23no—
1657C22⋊C4—23no—
1658C22⋊C4—23no—
1659C22⋊C4—26no—
1660C22⋊C4—26no—
1661C22⋊C4—26no—
1662C22⋊C4—21no—
1663C22⋊C4—23no—
1664C22⋊C4—23no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—23no—
1668C22⋊C4—21no—
1669C22⋊C4C22×D416yes—
1670C22⋊C4C22×D416yes—
1671C22⋊C4C22×D413yes—
1672C22⋊C4C22×D413yes—
1673C22⋊C4C22×D413yes—
1674C22⋊C4C22×D413yes—
1675C22⋊C4C22×D413yes—
1676C22⋊C4C22×D413yes—
1677C22⋊C4C22×D411yescharacteristic
1678C22⋊C4C22×D411yescharacteristic
1679C42—21no—
1680C42—23no—
1681C42—21no—
1682C42—23no—
1683C42—23no—
1684C42—26no—
1685C42—23no—
1686C42—23no—
1687C42—26no—
1688C42—23no—
1689C42—23no—
1690C42—23no—
1691C42—23no—
1692C42—23no—
1693C42—21no—
1694C42—23no—
1695C42—23no—
1696C42—23no—
1697C42—26no—
1698C42—23no—
1699C42—23no—
1700C42C22×D413yes—
1701C42C22×D413yes—
1702C42C22×D416yes—
1703C42C22×D416yes—
1704C42C22×D413yes—
1705C42C22×D413yes—
1706C42C2511yescharacteristic
1707C42C2513yes—
1708C42C2511yescharacteristic
1709C42C2513yes—
1710C23—212no—
1711C23—23no—
1712C23—21no—
1713C23—26no—
1714C23—212no—
1715C23—23no—
1716C23—21no—
1717C23—43no—
1718C23—43no—
1719C23—46no—
1720C23—83no—
1721C23—83no—
1722C23—83no—
1723C23—83no—
1724C23—83no—
1725C23—83no—
1726C23C23×D413yes—
1727C23C23×D411yescharacteristic
1728C23C23×D413yes—
1729Q8—212no—
1730Q8—21no—
1731Q8—23no—
1732Q8—26no—
1733Q8—212no—
1734Q8—23no—
1735Q8—21no—
1736Q8—23no—
1737Q8—21no—
1738Q8—46no—
1739Q8—81no—
1740Q8—83no—
1741Q8—86no—
1742Q8#52514yes—
1743Q8C22×#4112yes—
1744Q8C22×#4116yes—
1745D4—224no—
1746D4—212no—
1747D4—24no—
1748D4—212no—
1749D4—212no—
1750D4—212no—
1751D4—212no—
1752D4—23no—
1753D4—21no—
1754D4—23no—
1755D4—21no—
1756D4—23no—
1757D4—21no—
1758D4—26no—
1759D4—212no—
1760D4—46no—
1761D4—46no—
1762D4—46no—
1763D4—83no—
1764D4—83no—
1765D4—81no—
1766D4—83no—
1767D4—83no—
1768D4—86no—
1769D4—83no—
1770D4#525112yes—
1771D4C22×#4112yes—
1772D4C22×#4116yes—
1773C2×C4—212no—
1774C2×C4—24no—
1775C2×C4—212no—
1776C2×C4—224no—
1777C2×C4—23no—
1778C2×C4—21no—
1779C2×C4—26no—
1780C2×C4—212no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—23no—
1784C2×C4—23no—
1785C2×C4—26no—
1786C2×C4—212no—
1787C2×C4—212no—
1788C2×C4—26no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—23no—
1793C2×C4—23no—
1794C2×C4—21no—
1795C2×C4—23no—
1796C2×C4—21no—
1797C2×C4—23no—
1798C2×C4—23no—
1799C2×C4—43no—
1800C2×C4—43no—
1801C2×C4—46no—
1802C2×C4—43no—
1803C2×C4—43no—
1804C2×C4—46no—
1805C2×C4—46no—
1806C2×C4—46no—
1807C2×C4—46no—
1808C2×C4—81no—
1809C2×C4—83no—
1810C2×C4—83no—
1811C2×C4—81no—
1812C2×C4—83no—
1813C2×C4—81no—
1814C2×C4—83no—
1815C2×C4—86no—
1816C2×C4—83no—
1817C2×C4—83no—
1818C2×C4—83no—
1819C2×C4—86no—
1820C2×C4—83no—
1821C2×C4—86no—
1822C2×C4—83no—
1823C2×C4—81no—
1824C2×C4—83no—
1825C2×C4—83no—
1826C2×C4—86no—
1827C2×C4—83no—
1828C2×C4—83no—
1829C2×C4—83no—
1830C2×C4C23×D411yescharacteristic
1831C2×C4C23×D413yes—
1832C2×C4C23×D411yescharacteristic
1833C2×C4C23×D413yes—
1834C2×C4C23×D411yescharacteristic
1835C2×C4C23×D413yes—
1836C2×C4C23×D413yes—
1837C2×C4C23×D411yescharacteristic
1838C2×C4C23×D413yes—
1839C2×C4C23×D411yescharacteristic
1840C2×C4C23×D413yes—
1841C2×C4C22×#4116yes—
1842C2×C4C22×#4116yes—
1843C2×C4C2611yescharacteristic
1844C8—21no—
1845C8—21no—
1846C8—21no—
1847C8—21no—
1848C8—23no—
1849C8—23no—
1850C8—23no—
1851C8—23no—
1852C22—23no—
1853C22—23no—
1854C22—23no—
1855C22—23no—
1856C22—21no—
1857C22—21no—
1858C22—23no—
1859C22—21no—
1860C22—26no—
1861C22—22no—
1862C22—43no—
1863C22—41no—
1864C22—43no—
1865C22—41no—
1866C22—41no—
1867C22—43no—
1868C22—41no—
1869C22—43no—
1870C22—41no—
1871C22—43no—
1872C22—86no—
1873C22—812no—
1874C22—812no—
1875C22—166no—
1876C22C2×#52516yes—
1877C22C24×D411yescharacteristic
1878C4—21no—
1879C4—23no—
1880C4—21no—
1881C4—23no—
1882C4—23no—
1883C4—21no—
1884C4—23no—
1885C4—21no—
1886C4—21no—
1887C4—26no—
1888C4—22no—
1889C4—23no—
1890C4—41no—
1891C4—41no—
1892C4—43no—
1893C4—43no—
1894C4—43no—
1895C4—43no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—43no—
1900C4C2×#52516yes—
1901C4C23×#4111yescharacteristic
1902C4C23×#4111yescharacteristic
1903C2—26no—
1904C2—43no—
1905C2—41no—
1906C2—46no—
1907C2—42no—
1908C2—81no—
1909C2—83no—
1910C2C22×#52511yescharacteristic
1911C2#6309211yescharacteristic
1912C2#6309211yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3428 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62857C2semidirect
2. #62654C2semidirect
3. #60599C2semidirect
4. #60597C2semidirect
5. #60595C2semidirect
6. #60592C2semidirect
7. #60588C2semidirect
8. #60585C2semidirect
9. #60581C2semidirect
10. #60580C2semidirect
11. #60577C2semidirect
12. #60574C2semidirect
13. #60572C2semidirect
14. #60571C2semidirect
15. #60567C2semidirect
16. #60565C2semidirect
17. #60557C2semidirect
18. C2×#3125C2semidirect
19. #60525C2semidirect
20. #60522C2semidirect
21. #60497C2semidirect
22. #60495C2semidirect
23. #60433C2semidirect
24. #60430C2semidirect
25. #60377C2semidirect
26. #60376C2semidirect
27. #60176C2semidirect
28. #60175C2semidirect
29. C4×#577C2semidirect
30. C4×#577C2semidirect
31. #60129C2semidirect
45. #3511C22semidirect
46. #3510C22semidirect
47. #3503C22semidirect
48. #3500C22semidirect
49. #3495C22semidirect
50. #3494C22semidirect
53. #3461C22semidirect
54. #3460C22semidirect
55. #3455C22semidirect
56. C2×#542C22semidirect
61. C4×2−1+4C22semidirect
62. C4×2−1+4C22semidirect
63. C4×2−1+4C22semidirect
68. C4×H(5,𝔽2)C22semidirect
69. C4×H(5,𝔽2)C22semidirect
70. C4×H(5,𝔽2)C22semidirect
74. #3428C22semidirect
75. #3428C22semidirect
79. C2×#520C22semidirect
80. C2×#520C22semidirect
81. #3127C22semidirect
82. #3126C22semidirect
83. #3125C22semidirect
84. #3125C22semidirect
85. #3125C22semidirect
86. #3125C22semidirect
87. #3125C22semidirect
88. #3125C22semidirect
89. #3125C22semidirect
90. #3125C22semidirect
91. #3125C22semidirect
92. #3125C22semidirect
93. #3125C22semidirect
94. #3124C22semidirect
95. #3124C22semidirect
96. #3124C22semidirect
97. #3124C22semidirect
98. #3123C22semidirect
99. #3122C22semidirect
100. #3121C22semidirect
101. #3121C22semidirect
102. #3121C22semidirect
103. #3121C22semidirect
104. #3120C22semidirect
105. #3120C22semidirect
106. #3120C22semidirect
107. #3120C22semidirect
108. #3119C22semidirect
109. #3119C22semidirect
110. #3119C22semidirect
111. #3119C22semidirect
112. #3118C22semidirect
113. #3118C22semidirect
114. #3118C22semidirect
115. #3118C22semidirect
116. #3117C22semidirect
117. #3116C22semidirect
118. #3115C22semidirect
119. #3114C22semidirect
120. #3113C22semidirect
121. #3111C22semidirect
122. #3111C22semidirect
123. #3109C22semidirect
124. #3108C22semidirect
125. #3107C22semidirect
126. #3106C22semidirect
127. #3105C22semidirect
128. #3103C22semidirect
129. #3102C22semidirect
130. #3102C22semidirect
131. #3101C22semidirect
132. #3099C22semidirect
133. #3099C22semidirect
134. #3099C22semidirect
135. #3099C22semidirect
136. #3097C22semidirect
137. #3097C22semidirect
138. #3096C22semidirect
139. #3096C22semidirect
140. #3095C22semidirect
141. #3094C22semidirect
142. #3092C22semidirect
143. #3092C22semidirect
144. #3091C22semidirect
145. #3091C22semidirect
146. C2×#481C22semidirect
147. C2×#483C22semidirect
148. #3084C22semidirect
149. #3084C22semidirect
150. #3084C22semidirect
151. #3084C22semidirect
152. #3082C22semidirect
153. #3082C22semidirect
154. #3081C22semidirect
155. #3081C22semidirect
156. #3079C22semidirect
157. #3079C22semidirect
158. #3078C22semidirect
159. #3077C22semidirect
160. #3076C22semidirect
161. #3076C22semidirect
162. C2×#475C22semidirect
163. C2×#476C22semidirect
164. #3046C22semidirect
165. #3046C22semidirect
166. #3045C22semidirect
167. #3045C22semidirect
168. #3044C22semidirect
169. #3043C22semidirect
170. #3042C22semidirect
171. #3041C22semidirect
172. #3040C22semidirect
173. #3040C22semidirect
174. #3037C22semidirect
175. #3036C22semidirect
176. #3035C22semidirect
177. #3035C22semidirect
178. C2×#464C22semidirect
179. C2×#463C22semidirect
181. #3013C22semidirect
183. #3012C22semidirect
184. #3011C22semidirect
186. #3009C22semidirect
188. #3007C22semidirect
191. #3005C22semidirect
193. #3002C22semidirect
194. C2×#452C22semidirect
196. #2952C22semidirect
197. #2952C22semidirect
198. #2952C22semidirect
199. #2952C22semidirect
200. #2950C22semidirect
201. #2949C22semidirect
202. #2949C22semidirect
203. #2948C22semidirect
204. #2947C22semidirect
205. #2947C22semidirect
206. #2947C22semidirect
207. #2947C22semidirect
208. #2946C22semidirect
209. #2946C22semidirect
210. #2946C22semidirect
211. #2946C22semidirect
212. C4×#137C22semidirect
213. C4×#137C22semidirect
214. C4×#137C22semidirect
215. C4×#137C22semidirect
216. C4×AGL(1,ℤ/8)C22semidirect
217. C4×AGL(1,ℤ/8)C22semidirect
218. C4×AGL(1,ℤ/8)C22semidirect
219. C4×AGL(1,ℤ/8)C22semidirect
220. #2943C22semidirect
221. #2943C22semidirect
222. C2×#442C22semidirect
223. C2×#441C22semidirect
224. C4×#135C22semidirect
225. C4×#135C22semidirect
226. C2×C4×SD16C22semidirect
227. C2×C4×SD16C22semidirect
228. #2925C22semidirect
229. #2925C22semidirect
230. #2924C22semidirect
231. #2924C22semidirect
232. #2923C22semidirect
233. #2922C22semidirect
234. #2921C22semidirect
235. C2×#433C22semidirect
236. #2912C22semidirect
237. #2912C22semidirect
238. #2912C22semidirect
239. #2912C22semidirect
240. #2906C22semidirect
241. #2906C22semidirect
244. #2898C22semidirect
245. #2898C22semidirect
248. #2897C22semidirect
249. #2897C22semidirect
252. #2875C22semidirect
253. C4×#131C22semidirect
806. 2−1+4#41semidirect
813. H(5,𝔽2)#41semidirect

Maximal subgroups

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

subgroupindex
#628572
#626542
#605992
#605972
#605952
#605922
#605882
#605852
#605812
#605802
#605772
#605742
#605722
#605712
#605672
#605652
#605572
C2×#31252
#605252
#605222
#604972
#604952
#604332
#604302
#603772
#603762
#601762
#601752
C4×#5772
#601292