Finite Group Databasebeta

← #10581862

Subgroups — #10581862

Order 512.

6302 conjugacy classes of subgroups.

The subgroup lattice has 2175 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62822C211yesmaximal, characteristic, complemented
2#62748C211yesmaximal, characteristic, complemented
3#62613C214yesmaximal, complemented
4#62552C212yesmaximal, complemented
5#62551C212yesmaximal, complemented
6#62468C214yesmaximal, complemented
7#62431C212yesmaximal, complemented
8#62430C212yesmaximal, complemented
9#62064C214yesmaximal, complemented
10#62063C214yesmaximal, complemented
11#62046C212yesmaximal, complemented
12#62045C212yesmaximal, complemented
13#62040C212yesmaximal, complemented
14#62039C212yesmaximal, complemented
15#61896C212yesmaximal, complemented
16#61886C212yesmaximal, complemented
17#61598C214yesmaximal, complemented
18#61597C214yesmaximal, complemented
19#61590C212yesmaximal, complemented
20#61567C212yesmaximal, complemented
21#60986C214yesmaximal, complemented
22#60951C211yesmaximal, characteristic, complemented
23#60942C211yesmaximal, characteristic, complemented
24#60815C214yesmaximal, complemented
25#60805C211yesmaximal, characteristic, complemented
26C2×#3207C211yesmaximal, characteristic, complemented
27#60290C211yesmaximal, characteristic, complemented
28#3562C2214yescomplemented
29#3561C2212yescomplemented
30#3560—22no—
31#3560—22no—
32#3560—22no—
33#3559—21no—
34#3559—21no—
35#3559C2212yescomplemented
36#3558—21no—
37#3558—21no—
38#3558C2212yescomplemented
39#3558C2212yescomplemented
40#3554C2212yescomplemented
41#3552C2212yescomplemented
42#3546C2212yescomplemented
43#3545—22no—
44#3544C2212yescomplemented
45#3543C2212yescomplemented
46#3543C2212yescomplemented
47#3537—21no—
48#3536—21no—
49#3534—22no—
50#3529—22no—
51#3522C2212yescomplemented
52#3522C2212yescomplemented
53#3519C2212yescomplemented
54#3519C2212yescomplemented
55#3513—22no—
56#3513C2214yescomplemented
57#3505—21no—
58#3505C2212yescomplemented
59#3496—21no—
60#3496C2212yescomplemented
61#3494—22no—
62#3494C2214yescomplemented
63#3485—22no—
64#3481—22no—
65#3480C2212yescomplemented
66D4×#41C2212yescomplemented
67D4×#41C2214yescomplemented
68#3460—22no—
69#3459—22no—
70#3455C2212yescomplemented
71#3449C2212yescomplemented
72#3444C2211yescharacteristic, complemented
73C2×#532C2211yescharacteristic, complemented
74C2×#532C2211yescharacteristic, complemented
75C2×#529C2211yescharacteristic
76C2×#529C2211yescharacteristic, complemented
77#3403C2214yescomplemented
78#3401C2214yescomplemented
79#3400C2212yescomplemented
80#3399C2212yescomplemented
81#3399C2212yescomplemented
82#3397C2212yescomplemented
83#3396C2214yescomplemented
84#3396C2212yescomplemented
85#3394C2214yescomplemented
86#3394C2212yescomplemented
87#3392C2212yescomplemented
88#3391C2212yescomplemented
89#3376C2214yescomplemented
90#3375C2212yescomplemented
91#3372C2212yescomplemented
92#3370C2214yescomplemented
93#3369C2212yescomplemented
94#3366C2212yescomplemented
95#3363C2212yescomplemented
96#3362C2212yescomplemented
97#3361C2212yescomplemented
98#3361C2214yescomplemented
99#3360C2212yescomplemented
100#3360C2214yescomplemented
101#3333C2212yescomplemented
102#3332C2214yescomplemented
103#3331C2212yescomplemented
104#3330C2214yescomplemented
105#3329C2212yescomplemented
106#3326C2214yescomplemented
107#3326C2214yescomplemented
108#3325C2212yescomplemented
109#3322C2214yescomplemented
110#3322C2214yescomplemented
111#3312C2214yescomplemented
112#3310C2214yescomplemented
113#3309C2214yescomplemented
114#3308C2214yescomplemented
115#3308C2214yescomplemented
116#3307C2214yescomplemented
117#3306C2214yescomplemented
118#3306C2214yescomplemented
119#3305C2212yescomplemented
120#3303C2212yescomplemented
121#3301C2214yescomplemented
122#3300C2214yescomplemented
123#3299C2212yescomplemented
124#3298C2214yescomplemented
125#3297C2214yescomplemented
126#3296C2214yescomplemented
127#3295C2212yescomplemented
128#3294C2214yescomplemented
129#3287C2212yescomplemented
130#3284C2212yescomplemented
131#3282C2214yescomplemented
132#3282C2214yescomplemented
133D4×SD16C2212yescomplemented
134D4×SD16C2214yescomplemented
135#3280C2214yescomplemented
136#3280C2214yescomplemented
137D4×D8C2212yescomplemented
138D4×D8C2214yescomplemented
139#3278C2212yescomplemented
140#3277C2214yescomplemented
141#3275C2214yescomplemented
142#3275C2214yescomplemented
143#3274C2214yescomplemented
144#3274C2212yescomplemented
145#3274C2212yescomplemented
146#3273C2214yescomplemented
147#3272C2214yescomplemented
148#3272C2212yescomplemented
149#3271C2214yescomplemented
150#3269C2214yescomplemented
151#3266C2214yescomplemented
152#3265C2214yescomplemented
153#3265C2214yescomplemented
154#3264C2214yescomplemented
155#3264C2214yescomplemented
156#3264C2214yescomplemented
157#3263C2214yescomplemented
158#3262C2214yescomplemented
159#3257C2214yescomplemented
160#3257C2214yescomplemented
161#3254C2212yescomplemented
162#3253C2212yescomplemented
163#3248C2212yescomplemented
164#3247C2212yescomplemented
165#3242C2214yescomplemented
166#3241C2214yescomplemented
167#3238C2212yescomplemented
168#3235C2212yescomplemented
169#3233C2212yescomplemented
170#3232C2212yescomplemented
171#3225C2214yescomplemented
172#3225C2214yescomplemented
173#3224C2214yescomplemented
174#3224C2214yescomplemented
175#3222C2214yescomplemented
176#3221C2214yescomplemented
177#3221C2214yescomplemented
178#3220C2214yescomplemented
179#3220C2214yescomplemented
180#3220C2214yescomplemented
181#3219C2214yescomplemented
182#3219C2214yescomplemented
183#3218C2212yescomplemented
184#3217C2212yescomplemented
185#3217C2212yescomplemented
186#3214C2212yescomplemented
187#3214C2214yescomplemented
188#3212C2212yescomplemented
189#3212C2212yescomplemented
190#3212C2212yescomplemented
191#3212C2214yescomplemented
192#3211C2212yescomplemented
193#3211C2214yescomplemented
194#3207C2214yescomplemented
195#3207C2214yescomplemented
196#3207C2212yescomplemented
197#3207C2212yescomplemented
198#3207C2212yescomplemented
199#3207C2212yescomplemented
200#3207C2214yescomplemented
201#3197C2214yescomplemented
202#3194C2214yescomplemented
203#3194C2214yescomplemented
204#3191C2214yescomplemented
205#3190C2212yescomplemented
206#3188C2212yescomplemented
207#3188C2214yescomplemented
208#3179C2214yescomplemented
209#3178C2214yescomplemented
210#3176C2214yescomplemented
211#3174C2214yescomplemented
212#3171C2214yescomplemented
213#3168C2212yescomplemented
214#3168C2212yescomplemented
215#3155C2214yescomplemented
216#3154C2214yescomplemented
217#3153C2212yescomplemented
218C2×#493C2211yescharacteristic, complemented
219C2×#492C2211yescharacteristic, complemented
220#3142C2212yescomplemented
221#3137C2214yescomplemented
222#3136C2214yescomplemented
223C2×#487C2211yescharacteristic, complemented
224C2×#486C2211yescharacteristic, complemented
225#3125C2214yescomplemented
226#3124C2214yescomplemented
227#3118C2214yescomplemented
228#3118C2214yescomplemented
229#3115C2214yescomplemented
230#3111C2214yescomplemented
231#3106C2212yescomplemented
232#3106C2212yescomplemented
233#3106C2214yescomplemented
234#3104C2211yescharacteristic, complemented
235#3103C2211yescharacteristic, complemented
236#3102C2212yescomplemented
237#3102C2212yescomplemented
238#3102C2214yescomplemented
239#3101C2211yescharacteristic, complemented
240#3101C2212yescomplemented
241#3100C2211yescharacteristic, complemented
242#3100C2212yescomplemented
243#3046C2214yescomplemented
244#3045C2214yescomplemented
245#3042C2214yescomplemented
246#3041C2214yescomplemented
247#3037C2212yescomplemented
248#3036C2212yescomplemented
249C2×#463C2214yescomplemented
250#3007C2212yescomplemented
251#3006C2212yescomplemented
252#3006C2214yescomplemented
253#3005C2214yescomplemented
254#3002C2214yescomplemented
255C2×#449C2214yescomplemented
256C2×#449C2214yescomplemented
257#2994C2214yescomplemented
258#2993C2212yescomplemented
259#2993C2212yescomplemented
260#2983C2211yescharacteristic, complemented
261#2982C2211yescharacteristic, complemented
262#2975C2211yescharacteristic, complemented
263#2974C2214yescomplemented
264#2972C2211yescharacteristic, complemented
265#2969C2214yescomplemented
266#2966C2212yescomplemented
267#2966C2212yescomplemented
268#2924C2214yescomplemented
269#2920C2211yescharacteristic, complemented
270C2×#431C2211yescharacteristic, complemented
271C2×H(5,𝔽2)—22no—
272C22×#41—21no—
273C22×#41C2312yes—
274C22×#41C2314yes—
275C2×#137C2314yes—
276C2×#137C2314yes—
277C2×AGL(1,ℤ/8)C2314yes—
278C2×AGL(1,ℤ/8)C2314yes—
279C2×AGL(1,ℤ/8)C2314yes—
280C2×AGL(1,ℤ/8)C2314yes—
281C2×#135C2314yes—
282C2×#135C2314yes—
283C22×SD16C2314yes—
284C22×SD16C2314yes—
285C22×D8C2314yes—
286C22×D8C2314yes—
287#563—24no—
288#563—24no—
289#563—22no—
290#563—22no—
291#562—22no—
292#562—22no—
293#562—22no—
294#562—22no—
295#562—24no—
296#562—24no—
297H(3,𝔽4)—22no—
298H(3,𝔽4)—22no—
299#560—24no—
300#560—24no—
301#560—24no—
302#560—24no—
303#559—22no—
304#559—22no—
305#559C2314yes—
306#559C2312yes—
307#559C2312yes—
308#559C2314yes—
309Q82C2312yes—
310#557C2312yes—
311#556C2312yes—
312#556C2314yes—
313#555—24no—
314#555C2312yes—
315#554—22no—
316#554—22no—
317#554—22no—
318#554C2312yes—
319#554C2314yes—
320#554C2312yes—
321#553—24no—
322#553—24no—
323#553—22no—
324#553—22no—
325#553—22no—
326#553—24no—
327#553—24no—
328#553—24no—
329#553—22no—
330#553—24no—
331#553—22no—
332#553C2314yes—
333#553C2314yes—
334#552—22no—
335#552C2314yes—
336#551—24no—
337#551—24no—
338#551—24no—
339#551—24no—
340#551—24no—
341#551—24no—
342#551—24no—
343#550C2314yes—
344#550C2312yes—
345#550C2312yes—
346#550C2312yes—
347#550C2312yes—
348D4×Q8C2312yes—
349D4×Q8C2314yes—
350#548—22no—
351#548—22no—
352#548C2314yes—
353#548C2314yes—
354#548C2314yes—
355#548C2314yes—
356#547—24no—
357#547—24no—
358#547—22no—
359#547—22no—
360#547—24no—
361#547—24no—
362#547—24no—
363#547—22no—
364#547C2314yes—
365#547C2312yes—
366#547C2314yes—
367#547C2314yes—
368#546—22no—
369#546—22no—
370#546—24no—
371#546—24no—
372#546—24no—
373#546—22no—
374#546—22no—
375#546—24no—
376#546—24no—
377#546—24no—
378#546—24no—
379#546—24no—
380#546—24no—
381#546—24no—
382#546—24no—
383#546—24no—
384#546C2314yes—
385#546C2314yes—
386#546C2314yes—
387#546C2314yes—
388#546C2314yes—
389D42—24no—
390D42—22no—
391D42—22no—
392D42—22no—
393D42—22no—
394D42C2314yes—
395D42C2312yes—
396D42C2314yes—
397D42C2314yes—
398D42C2312yes—
399#544—22no—
400#544—22no—
401#544C2314yes—
402#543—22no—
403#542—24no—
404#542—24no—
405#542—22no—
406#542—22no—
407#542—22no—
408#542—22no—
409#542—24no—
410#542C2314yes—
411#542C2314yes—
412#542C2314yes—
413#542C2314yes—
414#541C2314yes—
415#540—22no—
416#540—22no—
417#540—24no—
418#540—22no—
419#540—22no—
420#540C2314yes—
421#540C2314yes—
422#540C2314yes—
423#539—24no—
424#539—24no—
425#539—24no—
426#539—24no—
427#539—24no—
428#539—22no—
429#539—22no—
430#539—22no—
431#539—22no—
432#538—24no—
433#538—24no—
434#538—24no—
435#538—24no—
436#538—24no—
437#538—24no—
438#538—24no—
439#538—22no—
440#538—22no—
441#538—22no—
442#538—24no—
443#538—22no—
444#538—22no—
445#538—22no—
446#537—22no—
447#537—22no—
448#537—22no—
449#537—22no—
450#537—22no—
451#536—24no—
452#536C2314yes—
453#536C2314yes—
454#535—22no—
455#535—22no—
456#535—22no—
457#535C2314yes—
458#535C2314yes—
459#535C2314yes—
460#534—22no—
461#534—24no—
462#534—24no—
463#534—22no—
464#534—22no—
465#534—22no—
466#534—22no—
467#534—22no—
468#534—22no—
469#533C2311yescharacteristic
470#533C2311yescharacteristic
471#533C2311yescharacteristic
472#532—22no—
473#532—22no—
474#532—24no—
475#532—21no—
476#532—21no—
477#532—21no—
478#532—21no—
479#532—21no—
480#532—21no—
481#532—21no—
482#532—21no—
483#532C2312yes—
484#532C2312yes—
485#532C2312yes—
486#532C2312yes—
487#532C2311yescharacteristic
488#532C2314yes—
489#532C2311yescharacteristic
490#532C2311yescharacteristic
491#532C2312yes—
492#532C2314yes—
493#532C2312yes—
494#532C2312yes—
495#532C2312yes—
496C2×C4⋊Q8C2311yescharacteristic
497C2×C4⋊Q8C2311yescharacteristic
498C2×#127C2311yescharacteristic
499C2×#127C2311yescharacteristic
500#529—22no—
501#529—24no—
502#529—22no—
503#529—24no—
504#529—24no—
505#529—21no—
506#529—21no—
507#529—21no—
508#529—21no—
509#529—21no—
510#529—21no—
511#529—21no—
512#529—21no—
513#529D412yes—
514#529D412yes—
515#529D412yes—
516#529D412yes—
517#529C2312yes—
518#529C2314yes—
519#529C2312yes—
520#529C2312yes—
521#529C2312yes—
522#529C2312yes—
523#529C2312yes—
524#529C2312yes—
525#529C2312yes—
526#529C2312yes—
527#529C2312yes—
528C2×#126—21no—
529C2×#126D412yes—
530C2×#125D411yescharacteristic
531C2×#125C2311yescharacteristic
532C2×#124—21no—
533C2×#124D411yescharacteristic
534C2×#124C2311yescharacteristic
535C2×#124C2312yes—
536#525—21no—
537#525—21no—
538#525—24no—
539#525—22no—
540#525—24no—
541#525—24no—
542#525—24no—
543#525—24no—
544#525—24no—
545#525C2312yes—
546#525C2314yes—
547#525C2314yes—
548C2×#123—21no—
549C2×#123—24no—
550C2×#123D412yes—
551C2×C22⋊Q8D411yescharacteristic
552C2×C22⋊Q8C2311yescharacteristic
553C2×#121—21no—
554C2×#121—21no—
555C2×#121—21no—
556C2×#121—22no—
557C2×#121D411yescharacteristic
558C2×#121C2311yescharacteristic
559C2×#121C2312yes—
560C2×#121C2314yes—
561#520—22no—
562#520C2314yes—
563#518—22no—
564#518—22no—
565#518C2314yes—
566C4×#41—22no—
567C4×#41—21no—
568C4×#41—21no—
569C4×#41C2312yes—
570C4×#41C2314yes—
571C2×C4×Q8C2311yescharacteristic
572C2×C4×Q8C2311yescharacteristic
573C2×C4×D4—21no—
574C2×C4×D4—24no—
575C2×C4×D4—22no—
576C2×C4×D4—21no—
577C2×C4×D4—21no—
578C2×C4×D4—21no—
579C2×C4×D4C2311yescharacteristic
580C2×C4×D4C2312yes—
581C2×C4×D4C2311yescharacteristic
582C2×C4×D4C2312yes—
583C2×#117—21no—
584C2×#117C2312yes—
585C22×C42C2311yescharacteristic
586#501C2314yes—
587#499C2312yes—
588#499C2312yes—
589#497C2314yes—
590#497C2314yes—
591#496C2314yes—
592#496C2314yes—
593#496C2314yes—
594#496C2314yes—
595#496C2314yes—
596#495C2314yes—
597#495C2314yes—
598#495C2314yes—
599#495C2314yes—
600#495C2312yes—
601#495C2312yes—
602#493C2312yes—
603#493C2314yes—
604#493C2312yes—
605#493C2314yes—
606#492C2312yes—
607#492C2314yes—
608#492C2312yes—
609#492C2314yes—
610#491C2314yes—
611#491C2314yes—
612#490C2314yes—
613#490C2314yes—
614#490C2314yes—
615#489C2314yes—
616#489C2314yes—
617#489C2314yes—
618#488C2314yes—
619#488C2314yes—
620#488C2314yes—
621#488C2314yes—
622#488C2312yes—
623#488C2312yes—
624#488C2312yes—
625#488C2312yes—
626#487C2312yes—
627#487C2314yes—
628#487C2312yes—
629#487C2314yes—
630#486C2314yes—
631#486C2312yes—
632#486C2312yes—
633#486C2314yes—
634#485C2314yes—
635#485C2312yes—
636#485C2312yes—
637#485C2314yes—
638#484C2312yes—
639#484C2314yes—
640#483C2314yes—
641#483C2312yes—
642#483C2314yes—
643#482C2312yes—
644#482C2314yes—
645#482C2312yes—
646#482C2314yes—
647#482C2314yes—
648#482C2314yes—
649#481C2312yes—
650#481C2314yes—
651#480C2314yes—
652#480C2312yes—
653#480C2314yes—
654#479C2312yes—
655#479C2314yes—
656#479C2312yes—
657#479C2314yes—
658#478C2312yes—
659#478C2314yes—
660#478C2312yes—
661#478C2314yes—
662#477C2312yes—
663#477C2312yes—
664#477C2314yes—
665#477C2312yes—
666#476C2312yes—
667#476C2312yes—
668#476C2314yes—
669#476C2314yes—
670#476C2312yes—
671#475C2314yes—
672#475C2312yes—
673#474C2314yes—
674#474C2312yes—
675#474C2314yes—
676#470C2314yes—
677#469C2314yes—
678#469C2314yes—
679#469C2314yes—
680#469C2314yes—
681#469C2314yes—
682#468C2314yes—
683#468C2314yes—
684#468C2314yes—
685#468C2314yes—
686#468C2314yes—
687#468C2314yes—
688#467C2312yes—
689#467C2312yes—
690#467C2314yes—
691#466C2312yes—
692#466C2312yes—
693#466C2314yes—
694#466C2314yes—
695#466C2314yes—
696#465C2312yes—
697#465C2312yes—
698#465C2312yes—
699#465C2312yes—
700#465C2314yes—
701#465C2314yes—
702#465C2314yes—
703#465C2314yes—
704#464C2312yes—
705#464C2314yes—
706#464C2312yes—
707#464C2314yes—
708#464C2314yes—
709#464C2314yes—
710#464C2314yes—
711#464C2314yes—
712#463C2312yes—
713#463C2314yes—
714#463C2312yes—
715#463C2314yes—
716#463C2314yes—
717#463C2314yes—
718#463C2314yes—
719#463C2314yes—
720#463C2314yes—
721#463C2314yes—
722#463C2314yes—
723#463C2314yes—
724#463C2314yes—
725#463C2314yes—
726#463C2314yes—
727#463C2314yes—
728#463C2314yes—
729#463C2314yes—
730#463C2314yes—
731#463C2314yes—
732#462C2312yes—
733#462C2312yes—
734#462C2314yes—
735#462C2312yes—
736#461C2312yes—
737#461C2314yes—
738#461C2312yes—
739#461C2314yes—
740#461C2314yes—
741#461C2312yes—
742#461C2314yes—
743#460C2312yes—
744#460C2312yes—
745#460C2312yes—
746#460C2314yes—
747#460C2312yes—
748#460C2314yes—
749#460C2314yes—
750#460C2312yes—
751#459C2314yes—
752#459C2312yes—
753#459C2314yes—
754#459C2312yes—
755#459C2314yes—
756#459C2312yes—
757#459C2314yes—
758#459C2312yes—
759#459C2312yes—
760#459C2314yes—
761#459C2314yes—
762#452C2314yes—
763#452C2314yes—
764#452C2312yes—
765#452C2312yes—
766#452C2314yes—
767#452C2314yes—
768#452C2314yes—
769#452C2314yes—
770#451C2312yes—
771#451C2314yes—
772#451C2314yes—
773#450C2312yes—
774#450C2314yes—
775#450C2314yes—
776#450C2314yes—
777#450C2314yes—
778#450C2314yes—
779#449C2314yes—
780#449C2314yes—
781#449C2314yes—
782#449C2314yes—
783#449C2314yes—
784#449C2312yes—
785#449C2312yes—
786#449C2314yes—
787#449C2314yes—
788#449C2314yes—
789#449C2314yes—
790#449C2314yes—
791#449C2314yes—
792#449C2314yes—
793#449C2314yes—
794#449C2314yes—
795#449C2314yes—
796#449C2314yes—
797#449C2314yes—
798#449C2314yes—
799#449C2314yes—
800#449C2314yes—
801#448C2314yes—
802#448C2312yes—
803#448C2314yes—
804#448C2314yes—
805#448C2314yes—
806#447C2312yes—
807#447C2314yes—
808#447C2314yes—
809#447C2314yes—
810#447C2314yes—
811#447C2314yes—
812#447C2314yes—
813#447C2314yes—
814#446C2312yes—
815#446C2312yes—
816#446C2314yes—
817C8×Q8C2314yes—
818C8×Q8C2312yes—
819C8×Q8C2312yes—
820#442C2314yes—
821#442C2314yes—
822#442C2314yes—
823#441C2314yes—
824#440C2314yes—
825#440C2314yes—
826#440C2314yes—
827#440C2314yes—
828C4×Q16C2312yes—
829C4×Q16C2312yes—
830C4×Q16C2314yes—
831C4×SD16C2312yes—
832C4×SD16C2312yes—
833C4×SD16C2314yes—
834C4×SD16C2312yes—
835C4×SD16C2314yes—
836C4×SD16C2314yes—
837C4×SD16C2312yes—
838C4×SD16C2314yes—
839C4×SD16C2314yes—
840C4×SD16C2314yes—
841C4×D8C2314yes—
842C4×D8C2312yes—
843C4×D8C2312yes—
844C4×D8C2314yes—
845C4×D8C2314yes—
846C4×D8C2314yes—
847C4×D8C2314yes—
848#436C2312yes—
849#436C2314yes—
850#436C2314yes—
851#436C2312yes—
852#436C2314yes—
853#435C2314yes—
854#435C2314yes—
855#435C2314yes—
856#435C2314yes—
857C8×D4C2312yes—
858C8×D4C2312yes—
859C8×D4C2314yes—
860C8×D4C2314yes—
861C8×D4C2314yes—
862#433C2314yes—
863#433C2314yes—
864#433C2314yes—
865#433C2314yes—
866#432C2314yes—
867#432C2312yes—
868#432C2312yes—
869#431C2312yes—
870#431C2311yescharacteristic
871#431C2311yescharacteristic
872#431C2311yescharacteristic
873#431C2311yescharacteristic
874#431C2314yes—
875#431C2311yescharacteristic
876#431C2311yescharacteristic
877#431C2312yes—
878#431C2312yes—
879#424C2314yes—
880#424C2314yes—
881#423C2312yes—
882C2×C4⋊C8C2312yes—
883#419C2314yes—
884#418C2314yes—
885#417C2314yes—
886#417C2314yes—
887#417C2314yes—
888#417C2314yes—
889#416C2314yes—
890#416C2314yes—
891C2×#103C2314yes—
892C2×#103C2314yes—
893C2×#102C2314yes—
894C2×#102C2314yes—
895#407C2312yes—
896#407C2314yes—
897C2×C22⋊C8C2312yes—
898C2×C22⋊C8C2314yes—
899#405C2314yes—
900#405C2314yes—
901C4×M16C2312yes—
902C2×C4×C8C2311yescharacteristic
903C2×C4×C8C2311yescharacteristic
904H(5,𝔽2)—88no—
905C2×#41—22no—
906C2×#41—22no—
907C2×#41—24no—
908C2×#41—24no—
909C2×#41—21no—
910C2×#41—21no—
911C2×#41—24no—
912C2×#41—22no—
913C2×#41—22no—
914C2×#41—22no—
915C2×#41—22no—
916C2×#41—22no—
917C2×#41—22no—
918C2×#41—24no—
919C2×#41—24no—
920C2×#41—84no—
921C2×#41—84no—
922C2×#41—84no—
923C2×#41—84no—
924C2×#41C2412yes—
925C2×#41C2414yes—
926C2×#41C2414yes—
927C2×#41C2414yes—
928C2×#41C2414yes—
929C2×#41C2414yes—
930C22×Q8—21no—
931C22×Q8C2×D411yescharacteristic
932C22×Q8C2411yescharacteristic
933C22×Q8C2412yes—
934C22×Q8C2414yes—
935C22×D4—21no—
936C22×D4—22no—
937C22×D4—22no—
938C22×D4—24no—
939C22×D4—24no—
940C22×D4—24no—
941C22×D4—22no—
942C22×D4—22no—
943C22×D4—24no—
944C22×D4—24no—
945C22×D4—21no—
946C22×D4—21no—
947C22×D4—21no—
948C22×D4—21no—
949C22×D4C2×D412yes—
950C22×D4C2×D411yescharacteristic
951C22×D4C2411yescharacteristic
952C22×D4C2412yes—
953C22×D4C2414yes—
954C22×D4C2412yes—
955C22×D4C2414yes—
956C23×C4—21no—
957C23×C4—22no—
958C23×C4—24no—
959C23×C4—22no—
960C23×C4C2×D411yescharacteristic
961C23×C4C2×D411yescharacteristic
962C23×C4C2412yes—
963C23×C4C2411yescharacteristic
964#137—84no—
965#137—84no—
966AGL(1,ℤ/8)—84no—
967AGL(1,ℤ/8)—84no—
968AGL(1,ℤ/8)—84no—
969AGL(1,ℤ/8)—84no—
970#135—84no—
971#135—84no—
972C2×Q16C2412yes—
973C2×Q16C2414yes—
974C2×Q16C2414yes—
975C2×Q16C2412yes—
976C2×SD16—84no—
977C2×SD16—84no—
978C2×SD16C2412yes—
979C2×SD16C2414yes—
980C2×SD16C2414yes—
981C2×SD16C2414yes—
982C2×SD16C2414yes—
983C2×SD16C2414yes—
984C2×SD16C2414yes—
985C2×SD16C2412yes—
986C2×SD16C2414yes—
987C2×SD16C2414yes—
988C2×SD16C2412yes—
989C2×SD16C2412yes—
990C2×SD16C2414yes—
991C2×SD16C2414yes—
992C2×D8—84no—
993C2×D8—84no—
994C2×D8C2412yes—
995C2×D8C2414yes—
996C2×D8C2414yes—
997C2×D8C2414yes—
998C2×D8C2414yes—
999C2×D8C2414yes—
1000C2×D8C2414yes—
1001C2×D8C2412yes—
1002C2×D8C2414yes—
1003C2×D8C2414yes—
1004C2×M16C2414yes—
1005C2×M16C2414yes—
1006C2×M16C2414yes—
1007C22×C8C2412yes—
1008C22×C8C2414yes—
1009C22×C8C2412yes—
1010C22×C8C2414yes—
1011C4⋊Q8—22no—
1012C4⋊Q8—22no—
1013C4⋊Q8—24no—
1014C4⋊Q8—24no—
1015C4⋊Q8—24no—
1016C4⋊Q8—21no—
1017C4⋊Q8—21no—
1018C4⋊Q8—21no—
1019C4⋊Q8—21no—
1020C4⋊Q8C2412yes—
1021C4⋊Q8C2412yes—
1022C4⋊Q8C2411yescharacteristic
1023C4⋊Q8C2414yes—
1024C4⋊Q8C2412yes—
1025C4⋊Q8C2412yes—
1026C4⋊Q8C2411yescharacteristic
1027C4⋊Q8C2411yescharacteristic
1028C4⋊Q8C2414yes—
1029#127—22no—
1030#127—22no—
1031#127—24no—
1032#127—21no—
1033#127—21no—
1034#127—21no—
1035#127—21no—
1036#127C2412yes—
1037#127C2412yes—
1038#127C2412yes—
1039#127C2412yes—
1040#127C2411yescharacteristic
1041#127C2414yes—
1042#127C2414yes—
1043#126—24no—
1044#126—24no—
1045#126—24no—
1046#126—24no—
1047#126—24no—
1048#126—24no—
1049#126—24no—
1050#126—24no—
1051#126—24no—
1052#126—24no—
1053#126—24no—
1054#126—24no—
1055#126—22no—
1056#126—22no—
1057#126—22no—
1058#126—22no—
1059#126—22no—
1060#126—22no—
1061#126—24no—
1062#126C2×D414yes—
1063#126C2×D414yes—
1064#126C2×D414yes—
1065#126C2×D414yes—
1066#125—24no—
1067#125—24no—
1068#125—24no—
1069#125—22no—
1070#125—22no—
1071#125—24no—
1072#125—24no—
1073#125—21no—
1074#125—21no—
1075#125—21no—
1076#125—21no—
1077#125C2×D412yes—
1078#125C2×D412yes—
1079#125C2×D412yes—
1080#125C2×D412yes—
1081#125C2412yes—
1082#125C2412yes—
1083#125C2412yes—
1084#125C2414yes—
1085#124—22no—
1086#124—22no—
1087#124—24no—
1088#124—24no—
1089#124—24no—
1090#124—24no—
1091#124—24no—
1092#124—24no—
1093#124—24no—
1094#124—24no—
1095#124—24no—
1096#124—24no—
1097#124—24no—
1098#124—22no—
1099#124—22no—
1100#124—22no—
1101#124—22no—
1102#124—21no—
1103#124—21no—
1104#124—22no—
1105#124—22no—
1106#124—21no—
1107#124—21no—
1108#124—24no—
1109#124C2×D412yes—
1110#124C2×D412yes—
1111#124C2×D412yes—
1112#124C2×D412yes—
1113#124C2412yes—
1114#124C2412yes—
1115#124C2414yes—
1116#124C2414yes—
1117#124C2412yes—
1118#124C2414yes—
1119#124C2414yes—
1120#124C2414yes—
1121#123—24no—
1122#123—22no—
1123#123—22no—
1124#123—22no—
1125#123—22no—
1126#123—22no—
1127#123—22no—
1128#123—22no—
1129#123—24no—
1130#123—24no—
1131#123—24no—
1132#123—24no—
1133#123—24no—
1134#123—24no—
1135#123—24no—
1136#123—24no—
1137#123—24no—
1138#123—24no—
1139#123—24no—
1140#123—24no—
1141#123—24no—
1142#123—24no—
1143#123—24no—
1144#123—24no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—24no—
1151#123—24no—
1152#123—24no—
1153#123—24no—
1154#123—24no—
1155#123—24no—
1156#123—24no—
1157#123—24no—
1158#123—24no—
1159#123—24no—
1160#123—24no—
1161#123—24no—
1162#123—24no—
1163#123—24no—
1164#123—24no—
1165#123—24no—
1166#123C2×D414yes—
1167#123C2×D414yes—
1168#123C2×D414yes—
1169#123C2×D414yes—
1170C22⋊Q8—22no—
1171C22⋊Q8—22no—
1172C22⋊Q8—24no—
1173C22⋊Q8—24no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—24no—
1181C22⋊Q8—24no—
1182C22⋊Q8—24no—
1183C22⋊Q8—24no—
1184C22⋊Q8—24no—
1185C22⋊Q8—24no—
1186C22⋊Q8—24no—
1187C22⋊Q8—24no—
1188C22⋊Q8—24no—
1189C22⋊Q8—24no—
1190C22⋊Q8—24no—
1191C22⋊Q8—24no—
1192C22⋊Q8—24no—
1193C22⋊Q8—24no—
1194C22⋊Q8—24no—
1195C22⋊Q8—24no—
1196C22⋊Q8—24no—
1197C22⋊Q8—24no—
1198C22⋊Q8—24no—
1199C22⋊Q8—24no—
1200C22⋊Q8—24no—
1201C22⋊Q8—24no—
1202C22⋊Q8—24no—
1203C22⋊Q8C2×D412yes—
1204C22⋊Q8C2×D412yes—
1205C22⋊Q8C2×D412yes—
1206C22⋊Q8C2×D412yes—
1207C22⋊Q8C2412yes—
1208C22⋊Q8C2412yes—
1209C22⋊Q8C2412yes—
1210C22⋊Q8C2412yes—
1211C22⋊Q8C2414yes—
1212C22⋊Q8C2414yes—
1213C22⋊Q8C2414yes—
1214#121—24no—
1215#121—22no—
1216#121—24no—
1217#121—24no—
1218#121—24no—
1219#121—24no—
1220#121—22no—
1221#121—24no—
1222#121—24no—
1223#121—22no—
1224#121—22no—
1225#121—22no—
1226#121—22no—
1227#121—22no—
1228#121—22no—
1229#121—22no—
1230#121—22no—
1231#121—22no—
1232#121—22no—
1233#121—22no—
1234#121—22no—
1235#121—21no—
1236#121—21no—
1237#121—22no—
1238#121—22no—
1239#121—24no—
1240#121—24no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—24no—
1246#121—24no—
1247#121—24no—
1248#121—22no—
1249#121—24no—
1250#121—24no—
1251#121—24no—
1252#121—24no—
1253#121—22no—
1254#121—24no—
1255#121—22no—
1256#121—22no—
1257#121—24no—
1258#121—24no—
1259#121—24no—
1260#121—24no—
1261#121—24no—
1262#121—24no—
1263#121—24no—
1264#121—24no—
1265#121—24no—
1266#121—24no—
1267#121—24no—
1268#121—24no—
1269#121—24no—
1270#121—24no—
1271#121—24no—
1272#121—24no—
1273#121—24no—
1274#121—24no—
1275#121—24no—
1276#121—24no—
1277#121—24no—
1278#121C2×D412yes—
1279#121C2×D412yes—
1280#121C2×D412yes—
1281#121C2×D412yes—
1282#121C2412yes—
1283#121C2414yes—
1284#121C2412yes—
1285#121C2414yes—
1286#121C2414yes—
1287#121C2414yes—
1288#121C2412yes—
1289#121C2412yes—
1290#121C2414yes—
1291#121C2414yes—
1292#121C2414yes—
1293#120—22no—
1294#120—24no—
1295#120—24no—
1296#120—24no—
1297#120—24no—
1298#120—24no—
1299#120—24no—
1300#120—24no—
1301#120—24no—
1302#120—24no—
1303#120—24no—
1304#120—24no—
1305#120—24no—
1306#120—24no—
1307#120—24no—
1308#120—24no—
1309#120—24no—
1310#120—24no—
1311#120—24no—
1312#120—24no—
1313#120—24no—
1314#120—24no—
1315C4×Q8—22no—
1316C4×Q8—22no—
1317C4×Q8—21no—
1318C4×Q8—21no—
1319C4×Q8—21no—
1320C4×Q8—21no—
1321C4×Q8—21no—
1322C4×Q8—21no—
1323C4×Q8C2×D412yes—
1324C4×Q8C2×D412yes—
1325C4×Q8C2412yes—
1326C4×Q8C2412yes—
1327C4×Q8C2412yes—
1328C4×Q8C2412yes—
1329C4×Q8C2414yes—
1330C4×Q8C2414yes—
1331C4×Q8C2414yes—
1332C4×Q8C2412yes—
1333C4×Q8C2412yes—
1334C4×D4—24no—
1335C4×D4—22no—
1336C4×D4—22no—
1337C4×D4—22no—
1338C4×D4—24no—
1339C4×D4—24no—
1340C4×D4—22no—
1341C4×D4—22no—
1342C4×D4—22no—
1343C4×D4—22no—
1344C4×D4—22no—
1345C4×D4—22no—
1346C4×D4—22no—
1347C4×D4—22no—
1348C4×D4—22no—
1349C4×D4—24no—
1350C4×D4—24no—
1351C4×D4—24no—
1352C4×D4—24no—
1353C4×D4—24no—
1354C4×D4—24no—
1355C4×D4—22no—
1356C4×D4—24no—
1357C4×D4—22no—
1358C4×D4—22no—
1359C4×D4—24no—
1360C4×D4—24no—
1361C4×D4—24no—
1362C4×D4—22no—
1363C4×D4—24no—
1364C4×D4—24no—
1365C4×D4—24no—
1366C4×D4—24no—
1367C4×D4—24no—
1368C4×D4—24no—
1369C4×D4—24no—
1370C4×D4—24no—
1371C4×D4—22no—
1372C4×D4—22no—
1373C4×D4—24no—
1374C4×D4—22no—
1375C4×D4—22no—
1376C4×D4—22no—
1377C4×D4—22no—
1378C4×D4—22no—
1379C4×D4—22no—
1380C4×D4—22no—
1381C4×D4—22no—
1382C4×D4—22no—
1383C4×D4—22no—
1384C4×D4—21no—
1385C4×D4—21no—
1386C4×D4—22no—
1387C4×D4—22no—
1388C4×D4—24no—
1389C4×D4—21no—
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—21no—
1393C4×D4—24no—
1394C4×D4C2×D412yes—
1395C4×D4C2×D414yes—
1396C4×D4C2×D412yes—
1397C4×D4C2×D414yes—
1398C4×D4C2412yes—
1399C4×D4C2414yes—
1400C4×D4C2412yes—
1401C4×D4C2414yes—
1402C4×D4C2412yes—
1403C4×D4C2412yes—
1404C4×D4C2414yes—
1405C4×D4C2414yes—
1406C4×D4C2414yes—
1407C4×D4C2414yes—
1408C4×D4C2414yes—
1409C4×D4C2414yes—
1410C4×D4C2412yes—
1411C4×D4C2414yes—
1412C4×D4C2412yes—
1413#117—21no—
1414#117—21no—
1415#117—22no—
1416#117—24no—
1417#117—22no—
1418#117—24no—
1419#117—24no—
1420#117—22no—
1421#117—22no—
1422#117—22no—
1423#117—22no—
1424#117—22no—
1425#117—22no—
1426#117—24no—
1427#117—22no—
1428#117—24no—
1429#117C2×D414yes—
1430#117C2×D414yes—
1431#117C2412yes—
1432#117C2414yes—
1433#117C2414yes—
1434#117C2414yes—
1435C2×C4⋊C4—21no—
1436C2×C4⋊C4—21no—
1437C2×C4⋊C4—21no—
1438C2×C4⋊C4—21no—
1439C2×C4⋊C4—21no—
1440C2×C4⋊C4—21no—
1441C2×C4⋊C4—21no—
1442C2×C4⋊C4—22no—
1443C2×C4⋊C4—24no—
1444C2×C4⋊C4—22no—
1445C2×C4⋊C4—24no—
1446C2×C4⋊C4—24no—
1447C2×C4⋊C4C2×D412yes—
1448C2×C4⋊C4C2×D412yes—
1449C2×C4⋊C4C2×D411yescharacteristic
1450C2×C4⋊C4C2×D412yes—
1451C2×C4⋊C4C2×D411yescharacteristic
1452C2×C4⋊C4C2×D412yes—
1453C2×C4⋊C4C2412yes—
1454C2×C4⋊C4C2411yescharacteristic
1455C2×C4⋊C4C2411yescharacteristic
1456C2×C4⋊C4C2414yes—
1457C2×C22⋊C4—21no—
1458C2×C22⋊C4—21no—
1459C2×C22⋊C4—21no—
1460C2×C22⋊C4—22no—
1461C2×C22⋊C4—22no—
1462C2×C22⋊C4—22no—
1463C2×C22⋊C4—21no—
1464C2×C22⋊C4—22no—
1465C2×C22⋊C4—21no—
1466C2×C22⋊C4—24no—
1467C2×C22⋊C4—24no—
1468C2×C22⋊C4—24no—
1469C2×C22⋊C4—24no—
1470C2×C22⋊C4—24no—
1471C2×C22⋊C4—24no—
1472C2×C22⋊C4—24no—
1473C2×C22⋊C4—24no—
1474C2×C22⋊C4C2×D412yes—
1475C2×C22⋊C4C2×D412yes—
1476C2×C22⋊C4C2×D412yes—
1477C2×C22⋊C4C2×D412yes—
1478C2×C22⋊C4C2×D412yes—
1479C2×C42—21no—
1480C2×C42—22no—
1481C2×C42—24no—
1482C2×C42C2×D411yescharacteristic
1483C2×C42C2×D411yescharacteristic
1484C2×C42C2×D411yescharacteristic
1485C2×C42C2×D411yescharacteristic
1486C2×C42C2×D411yescharacteristic
1487C2×C42C2×D411yescharacteristic
1488C2×C42C2411yescharacteristic
1489C2×C42C2412yes—
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
1495#107C2412yes—
1496#107C2412yes—
1497#107C2414yes—
1498#107C2414yes—
1499#107C2412yes—
1500#107C2412yes—
1501#106C2412yes—
1502#106C2412yes—
1503#106C2414yes—
1504#106C2414yes—
1505#106C2412yes—
1506#106C2412yes—
1507C4⋊C8C2412yes—
1508C4⋊C8C2412yes—
1509C4⋊C8C2412yes—
1510C4⋊C8C2412yes—
1511C4⋊C8C2414yes—
1512C4⋊C8C2412yes—
1513C4⋊C8C2412yes—
1514C4⋊C8C2414yes—
1515C4⋊C8C2414yes—
1516C4⋊C8C2414yes—
1517C4⋊C8C2414yes—
1518#103C2414yes—
1519#103C2412yes—
1520#103C2414yes—
1521#103C2414yes—
1522#103C2414yes—
1523#103C2414yes—
1524#103C2414yes—
1525#103C2412yes—
1526#103C2414yes—
1527#103C2414yes—
1528#103C2412yes—
1529#103C2414yes—
1530#103C2414yes—
1531#103C2412yes—
1532#103C2412yes—
1533#103C2412yes—
1534#103C2412yes—
1535#103C2412yes—
1536#102C2414yes—
1537#102C2412yes—
1538#102C2414yes—
1539#102C2414yes—
1540#102C2414yes—
1541#102C2414yes—
1542#102C2414yes—
1543#102C2412yes—
1544#102C2414yes—
1545#102C2414yes—
1546#102C2412yes—
1547#102C2414yes—
1548#102C2414yes—
1549#102C2412yes—
1550#102C2414yes—
1551#102C2412yes—
1552#102C2412yes—
1553#102C2414yes—
1554#102C2414yes—
1555#102C2412yes—
1556#102C2412yes—
1557#102C2414yes—
1558C22⋊C8C2412yes—
1559C22⋊C8C2412yes—
1560C22⋊C8C2412yes—
1561C22⋊C8C2412yes—
1562C22⋊C8C2412yes—
1563C22⋊C8C2414yes—
1564C22⋊C8C2414yes—
1565C22⋊C8C2412yes—
1566C22⋊C8C2414yes—
1567C22⋊C8C2414yes—
1568C22⋊C8C2414yes—
1569#97C2414yes—
1570#97C2414yes—
1571#97C2414yes—
1572C4×C8C2412yes—
1573C4×C8C2412yes—
1574C4×C8C2411yescharacteristic
1575C4×C8C2411yescharacteristic
1576C4×C8C2411yescharacteristic
1577C4×C8C2411yescharacteristic
1578C4×C8C2412yes—
1579C4×C8C2412yes—
1580C4×C8C2414yes—
1581C4×C8C2414yes—
1582C24—21no—
1583C24—22no—
1584C24—22no—
1585C24—24no—
1586C24—24no—
1587C24C22×D411yescharacteristic
1588C24C22×D412yes—
1589#41—44no—
1590#41—42no—
1591#41—42no—
1592#41—44no—
1593#41—44no—
1594#41—44no—
1595#41—44no—
1596#41—44no—
1597#41—44no—
1598#41—44no—
1599#41—44no—
1600#41—44no—
1601#41—82no—
1602#41—82no—
1603#41—88no—
1604#41—84no—
1605#41—88no—
1606#41—84no—
1607#41—88no—
1608#41—84no—
1609#41—84no—
1610#41—84no—
1611#41—84no—
1612#41—88no—
1613#41—88no—
1614#41—84no—
1615#41—84no—
1616C2×Q8—21no—
1617C2×Q8—21no—
1618C2×Q8—21no—
1619C2×Q8—24no—
1620C2×Q8—24no—
1621C2×Q8—22no—
1622C2×Q8—22no—
1623C2×Q8—22no—
1624C2×Q8—42no—
1625C2×Q8—44no—
1626C2×Q8—44no—
1627C2×Q8—42no—
1628C2×Q8—44no—
1629C2×Q8—82no—
1630C2×Q8C22×D412yes—
1631C2×Q8C22×D412yes—
1632C2×Q8C2514yes—
1633C2×Q8C2512yes—
1634C2×Q8C2512yes—
1635C2×D4—22no—
1636C2×D4—22no—
1637C2×D4—22no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—22no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—22no—
1647C2×D4—24no—
1648C2×D4—24no—
1649C2×D4—24no—
1650C2×D4—24no—
1651C2×D4—24no—
1652C2×D4—22no—
1653C2×D4—22no—
1654C2×D4—24no—
1655C2×D4—21no—
1656C2×D4—21no—
1657C2×D4—24no—
1658C2×D4—21no—
1659C2×D4—24no—
1660C2×D4—22no—
1661C2×D4—24no—
1662C2×D4—22no—
1663C2×D4—22no—
1664C2×D4—22no—
1665C2×D4—22no—
1666C2×D4—24no—
1667C2×D4—22no—
1668C2×D4—22no—
1669C2×D4—22no—
1670C2×D4—24no—
1671C2×D4—42no—
1672C2×D4—44no—
1673C2×D4—44no—
1674C2×D4—44no—
1675C2×D4—44no—
1676C2×D4—44no—
1677C2×D4—42no—
1678C2×D4—44no—
1679C2×D4—44no—
1680C2×D4—48no—
1681C2×D4—44no—
1682C2×D4—82no—
1683C2×D4—82no—
1684C2×D4—82no—
1685C2×D4—82no—
1686C2×D4—84no—
1687C2×D4—84no—
1688C2×D4—88no—
1689C2×D4—88no—
1690C2×D4—84no—
1691C2×D4—88no—
1692C2×D4—88no—
1693C2×D4—88no—
1694C2×D4C22×D412yes—
1695C2×D4C22×D414yes—
1696C2×D4C22×D412yes—
1697C2×D4C22×D414yes—
1698C2×D4C2514yes—
1699C2×D4C2512yes—
1700C2×D4C2512yes—
1701C2×D4C2514yes—
1702C22×C4—21no—
1703C22×C4—22no—
1704C22×C4—21no—
1705C22×C4—21no—
1706C22×C4—22no—
1707C22×C4—24no—
1708C22×C4—24no—
1709C22×C4—22no—
1710C22×C4—22no—
1711C22×C4—24no—
1712C22×C4—22no—
1713C22×C4—22no—
1714C22×C4—24no—
1715C22×C4—24no—
1716C22×C4—24no—
1717C22×C4—24no—
1718C22×C4—22no—
1719C22×C4—24no—
1720C22×C4—24no—
1721C22×C4—24no—
1722C22×C4—24no—
1723C22×C4—24no—
1724C22×C4—24no—
1725C22×C4—24no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—44no—
1729C22×C4—42no—
1730C22×C4—82no—
1731C22×C4—84no—
1732C22×C4—84no—
1733C22×C4—88no—
1734C22×C4C22×D411yescharacteristic
1735C22×C4C22×D411yescharacteristic
1736C22×C4C22×D411yescharacteristic
1737C22×C4C22×D411yescharacteristic
1738C22×C4C22×D411yescharacteristic
1739C22×C4C22×D411yescharacteristic
1740C22×C4C22×D411yescharacteristic
1741C22×C4C22×D411yescharacteristic
1742C22×C4C22×D411yescharacteristic
1743C22×C4C22×D411yescharacteristic
1744C22×C4C22×D411yescharacteristic
1745C22×C4C22×D411yescharacteristic
1746C22×C4C22×D411yescharacteristic
1747C22×C4C22×D411yescharacteristic
1748C22×C4C22×D411yescharacteristic
1749C22×C4C22×D412yes—
1750C22×C4C22×D412yes—
1751C22×C4C22×D414yes—
1752C22×C4C22×D412yes—
1753C22×C4C2511yescharacteristic
1754C22×C4C2511yescharacteristic
1755C22×C4C2511yescharacteristic
1756C22×C4C2514yes—
1757Q16—42no—
1758Q16—44no—
1759Q16—42no—
1760Q16—44no—
1761SD16—42no—
1762SD16—44no—
1763SD16—44no—
1764SD16—44no—
1765SD16—44no—
1766SD16—44no—
1767SD16—44no—
1768SD16—42no—
1769SD16—44no—
1770SD16—42no—
1771SD16—42no—
1772SD16—44no—
1773SD16—44no—
1774SD16—44no—
1775D8—42no—
1776D8—44no—
1777D8—44no—
1778D8—44no—
1779D8—44no—
1780D8—44no—
1781D8—44no—
1782D8—42no—
1783D8—44no—
1784D8—44no—
1785M16—44no—
1786M16—44no—
1787M16—44no—
1788C2×C8—42no—
1789C2×C8—44no—
1790C2×C8—42no—
1791C2×C8—44no—
1792C2×C8C2512yes—
1793C2×C8C2512yes—
1794C2×C8C2514yes—
1795C2×C8C2512yes—
1796C2×C8C2512yes—
1797C2×C8C2514yes—
1798C4⋊C4—22no—
1799C4⋊C4—22no—
1800C4⋊C4—22no—
1801C4⋊C4—22no—
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—22no—
1806C4⋊C4—22no—
1807C4⋊C4—22no—
1808C4⋊C4—22no—
1809C4⋊C4—22no—
1810C4⋊C4—24no—
1811C4⋊C4—22no—
1812C4⋊C4—22no—
1813C4⋊C4—22no—
1814C4⋊C4—22no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—22no—
1820C4⋊C4—22no—
1821C4⋊C4—21no—
1822C4⋊C4—21no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—22no—
1826C4⋊C4—22no—
1827C4⋊C4—22no—
1828C4⋊C4—21no—
1829C4⋊C4—24no—
1830C4⋊C4—21no—
1831C4⋊C4—21no—
1832C4⋊C4—21no—
1833C4⋊C4—24no—
1834C4⋊C4—22no—
1835C4⋊C4—24no—
1836C4⋊C4—22no—
1837C4⋊C4C22×D412yes—
1838C4⋊C4C22×D412yes—
1839C4⋊C4C22×D414yes—
1840C4⋊C4C22×D414yes—
1841C4⋊C4C22×D414yes—
1842C4⋊C4C22×D414yes—
1843C4⋊C4C22×D414yes—
1844C4⋊C4C22×D414yes—
1845C4⋊C4C22×D414yes—
1846C4⋊C4C22×D412yes—
1847C4⋊C4C22×D414yes—
1848C4⋊C4C22×D412yes—
1849C4⋊C4C2512yes—
1850C4⋊C4C2514yes—
1851C4⋊C4C2512yes—
1852C4⋊C4C2512yes—
1853C4⋊C4C2512yes—
1854C22⋊C4—22no—
1855C22⋊C4—22no—
1856C22⋊C4—24no—
1857C22⋊C4—22no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—22no—
1862C22⋊C4—22no—
1863C22⋊C4—22no—
1864C22⋊C4—22no—
1865C22⋊C4—22no—
1866C22⋊C4—24no—
1867C22⋊C4—22no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—22no—
1872C22⋊C4—22no—
1873C22⋊C4—22no—
1874C22⋊C4—22no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—22no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—22no—
1893C22⋊C4—22no—
1894C22⋊C4—22no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—22no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—22no—
1901C22⋊C4C22×D414yes—
1902C22⋊C4C22×D414yes—
1903C22⋊C4C22×D414yes—
1904C22⋊C4C22×D414yes—
1905C22⋊C4C22×D414yes—
1906C22⋊C4C22×D414yes—
1907C22⋊C4C22×D414yes—
1908C22⋊C4C22×D414yes—
1909C22⋊C4C22×D414yes—
1910C22⋊C4C22×D414yes—
1911C42—22no—
1912C42—22no—
1913C42—22no—
1914C42—22no—
1915C42—22no—
1916C42—24no—
1917C42—24no—
1918C42—24no—
1919C42—24no—
1920C42C22×D411yescharacteristic
1921C42C22×D414yes—
1922C42C22×D411yescharacteristic
1923C42C22×D411yescharacteristic
1924C42C22×D411yescharacteristic
1925C42C22×D411yescharacteristic
1926C42C22×D411yescharacteristic
1927C42C22×D411yescharacteristic
1928C42C22×D411yescharacteristic
1929C42C22×D411yescharacteristic
1930C42C22×D411yescharacteristic
1931C42C22×D411yescharacteristic
1932C42C22×D411yescharacteristic
1933C42C2511yescharacteristic
1934C42C2511yescharacteristic
1935C42C2511yescharacteristic
1936C42C2514yes—
1937C42C2511yescharacteristic
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—24no—
1942C23—24no—
1943C23—41no—
1944C23—41no—
1945C23—42no—
1946C23—42no—
1947C23—42no—
1948C23—42no—
1949C23—44no—
1950C23—44no—
1951C23—82no—
1952C23—84no—
1953C23—81no—
1954C23—82no—
1955C23—81no—
1956C23—82no—
1957C23—82no—
1958C23—84no—
1959C23—84no—
1960C23—84no—
1961C23—84no—
1962C23—84no—
1963C23C23×D414yes—
1964C23C23×D411yescharacteristic
1965C23C23×D411yescharacteristic
1966C23C23×D411yescharacteristic
1967Q8—24no—
1968Q8—22no—
1969Q8—24no—
1970Q8—22no—
1971Q8—22no—
1972Q8—22no—
1973Q8—24no—
1974Q8—42no—
1975Q8—81no—
1976Q8—84no—
1977Q8—82no—
1978Q8—82no—
1979Q8—82no—
1980Q8—81no—
1981Q8—81no—
1982Q8—84no—
1983D4—28no—
1984D4—24no—
1985D4—22no—
1986D4—24no—
1987D4—24no—
1988D4—22no—
1989D4—22no—
1990D4—22no—
1991D4—24no—
1992D4—24no—
1993D4—44no—
1994D4—42no—
1995D4—44no—
1996D4—48no—
1997D4—48no—
1998D4—48no—
1999D4—44no—
2000D4—44no—
2001D4—44no—
2002D4—44no—
2003D4—44no—
2004D4—81no—
2005D4—84no—
2006D4—82no—
2007D4—84no—
2008D4—82no—
2009D4—82no—
2010D4—82no—
2011D4—82no—
2012D4—82no—
2013D4—84no—
2014D4—84no—
2015D4—82no—
2016D4—82no—
2017D4—81no—
2018D4—84no—
2019D4—84no—
2020D4—81no—
2021D4—84no—
2022D4—84no—
2023D4—84no—
2024D4—84no—
2025D4—84no—
2026D4—84no—
2027D4—84no—
2028D4—84no—
2029D4—84no—
2030D4—82no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—24no—
2038C2×C4—24no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—24no—
2047C2×C4—24no—
2048C2×C4—22no—
2049C2×C4—41no—
2050C2×C4—44no—
2051C2×C4—41no—
2052C2×C4—41no—
2053C2×C4—41no—
2054C2×C4—41no—
2055C2×C4—41no—
2056C2×C4—41no—
2057C2×C4—41no—
2058C2×C4—41no—
2059C2×C4—41no—
2060C2×C4—42no—
2061C2×C4—42no—
2062C2×C4—42no—
2063C2×C4—48no—
2064C2×C4—44no—
2065C2×C4—42no—
2066C2×C4—44no—
2067C2×C4—44no—
2068C2×C4—44no—
2069C2×C4—82no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—84no—
2073C2×C4—84no—
2074C2×C4—84no—
2075C2×C4—84no—
2076C2×C4—84no—
2077C2×C4—84no—
2078C2×C4—84no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—82no—
2082C2×C4—81no—
2083C2×C4—82no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—81no—
2087C2×C4C23×D411yescharacteristic
2088C2×C4C23×D411yescharacteristic
2089C2×C4C23×D411yescharacteristic
2090C2×C4C23×D414yes—
2091C2×C4C23×D414yes—
2092C2×C4C23×D414yes—
2093C2×C4C23×D411yescharacteristic
2094C2×C4C23×D411yescharacteristic
2095C2×C4C23×D411yescharacteristic
2096C2×C4C23×D411yescharacteristic
2097C2×C4C23×D411yescharacteristic
2098C2×C4C23×D411yescharacteristic
2099C2×C4C23×D411yescharacteristic
2100C2×C4C23×D411yescharacteristic
2101C2×C4C2611yescharacteristic
2102C8—22no—
2103C8—22no—
2104C8—24no—
2105C8—22no—
2106C8—22no—
2107C8—24no—
2108C22—21no—
2109C22—21no—
2110C22—21no—
2111C22—21no—
2112C22—24no—
2113C22—21no—
2114C22—21no—
2115C22—24no—
2116C22—21no—
2117C22—21no—
2118C22—24no—
2119C22—42no—
2120C22—42no—
2121C22—44no—
2122C22—44no—
2123C22—44no—
2124C22—42no—
2125C22—42no—
2126C22—44no—
2127C22—44no—
2128C22—42no—
2129C22—44no—
2130C22—42no—
2131C22—82no—
2132C22—164no—
2133C22—164no—
2134C22—162no—
2135C22—162no—
2136C22—168no—
2137C22—324no—
2138C22#358512yes—
2139C22C24×D411yescharacteristic
2140C4—21no—
2141C4—21no—
2142C4—21no—
2143C4—24no—
2144C4—21no—
2145C4—21no—
2146C4—21no—
2147C4—21no—
2148C4—24no—
2149C4—21no—
2150C4—21no—
2151C4—24no—
2152C4—21no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—44no—
2157C4—42no—
2158C4—44no—
2159C4—42no—
2160C4—42no—
2161C4#358412yes—
2162C4H(7,𝔽2)12yes—
2163C2—22no—
2164C2—41no—
2165C2—41no—
2166C2—44no—
2167C2—82no—
2168C2—84no—
2169C2—84no—
2170C2—82no—
2171C2#6285211yescharacteristic
2172C2C2×#358411yescharacteristic
2173C2C2×#358511yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#529 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62822C2semidirect
2. #62748C2semidirect
3. #62613C2semidirect
4. #62552C2semidirect
5. #62551C2semidirect
6. #62468C2semidirect
7. #62431C2semidirect
8. #62430C2semidirect
9. #62064C2semidirect
10. #62063C2semidirect
11. #62046C2semidirect
12. #62045C2semidirect
13. #62040C2semidirect
14. #62039C2semidirect
15. #61896C2semidirect
16. #61886C2semidirect
17. #61598C2semidirect
18. #61597C2semidirect
19. #61590C2semidirect
20. #61567C2semidirect
21. #60986C2semidirect
22. #60951C2semidirect
23. #60942C2semidirect
24. #60815C2semidirect
25. #60805C2semidirect
26. C2×#3207C2semidirect
27. #60290C2semidirect
28. #3562C22semidirect
29. #3561C22semidirect
35. #3559C22semidirect
38. #3558C22semidirect
39. #3558C22semidirect
40. #3554C22semidirect
41. #3552C22semidirect
42. #3546C22semidirect
44. #3544C22semidirect
45. #3543C22semidirect
46. #3543C22semidirect
51. #3522C22semidirect
52. #3522C22semidirect
53. #3519C22semidirect
54. #3519C22semidirect
56. #3513C22semidirect
58. #3505C22semidirect
60. #3496C22semidirect
62. #3494C22semidirect
65. #3480C22semidirect
66. D4×#41C22semidirect
67. D4×#41C22semidirect
70. #3455C22semidirect
71. #3449C22semidirect
72. #3444C22semidirect
73. C2×#532C22semidirect
74. C2×#532C22semidirect
76. C2×#529C22semidirect
77. #3403C22semidirect
78. #3401C22semidirect
79. #3400C22semidirect
80. #3399C22semidirect
81. #3399C22semidirect
82. #3397C22semidirect
83. #3396C22semidirect
84. #3396C22semidirect
85. #3394C22semidirect
86. #3394C22semidirect
87. #3392C22semidirect
88. #3391C22semidirect
89. #3376C22semidirect
90. #3375C22semidirect
91. #3372C22semidirect
92. #3370C22semidirect
93. #3369C22semidirect
94. #3366C22semidirect
95. #3363C22semidirect
96. #3362C22semidirect
97. #3361C22semidirect
98. #3361C22semidirect
99. #3360C22semidirect
100. #3360C22semidirect
101. #3333C22semidirect
102. #3332C22semidirect
103. #3331C22semidirect
104. #3330C22semidirect
105. #3329C22semidirect
106. #3326C22semidirect
107. #3326C22semidirect
108. #3325C22semidirect
109. #3322C22semidirect
110. #3322C22semidirect
111. #3312C22semidirect
112. #3310C22semidirect
113. #3309C22semidirect
114. #3308C22semidirect
115. #3308C22semidirect
116. #3307C22semidirect
117. #3306C22semidirect
118. #3306C22semidirect
119. #3305C22semidirect
120. #3303C22semidirect
121. #3301C22semidirect
122. #3300C22semidirect
123. #3299C22semidirect
124. #3298C22semidirect
125. #3297C22semidirect
126. #3296C22semidirect
127. #3295C22semidirect
128. #3294C22semidirect
129. #3287C22semidirect
130. #3284C22semidirect
131. #3282C22semidirect
132. #3282C22semidirect
133. D4×SD16C22semidirect
134. D4×SD16C22semidirect
135. #3280C22semidirect
136. #3280C22semidirect
137. D4×D8C22semidirect
138. D4×D8C22semidirect
139. #3278C22semidirect
140. #3277C22semidirect
141. #3275C22semidirect
142. #3275C22semidirect
143. #3274C22semidirect
144. #3274C22semidirect
145. #3274C22semidirect
146. #3273C22semidirect
147. #3272C22semidirect
148. #3272C22semidirect
149. #3271C22semidirect
150. #3269C22semidirect
151. #3266C22semidirect
152. #3265C22semidirect
153. #3265C22semidirect
154. #3264C22semidirect
155. #3264C22semidirect
156. #3264C22semidirect
157. #3263C22semidirect
158. #3262C22semidirect
159. #3257C22semidirect
160. #3257C22semidirect
161. #3254C22semidirect
162. #3253C22semidirect
163. #3248C22semidirect
164. #3247C22semidirect
165. #3242C22semidirect
166. #3241C22semidirect
167. #3238C22semidirect
168. #3235C22semidirect
169. #3233C22semidirect
170. #3232C22semidirect
171. #3225C22semidirect
172. #3225C22semidirect
173. #3224C22semidirect
174. #3224C22semidirect
175. #3222C22semidirect
176. #3221C22semidirect
177. #3221C22semidirect
178. #3220C22semidirect
179. #3220C22semidirect
180. #3220C22semidirect
181. #3219C22semidirect
182. #3219C22semidirect
183. #3218C22semidirect
184. #3217C22semidirect
185. #3217C22semidirect
186. #3214C22semidirect
187. #3214C22semidirect
188. #3212C22semidirect
189. #3212C22semidirect
190. #3212C22semidirect
191. #3212C22semidirect
192. #3211C22semidirect
193. #3211C22semidirect
194. #3207C22semidirect
195. #3207C22semidirect
196. #3207C22semidirect
197. #3207C22semidirect
198. #3207C22semidirect
199. #3207C22semidirect
200. #3207C22semidirect
201. #3197C22semidirect
202. #3194C22semidirect
203. #3194C22semidirect
204. #3191C22semidirect
205. #3190C22semidirect
206. #3188C22semidirect
207. #3188C22semidirect
208. #3179C22semidirect
209. #3178C22semidirect
210. #3176C22semidirect
211. #3174C22semidirect
212. #3171C22semidirect
213. #3168C22semidirect
214. #3168C22semidirect
215. #3155C22semidirect
216. #3154C22semidirect
217. #3153C22semidirect
218. C2×#493C22semidirect
219. C2×#492C22semidirect
220. #3142C22semidirect
221. #3137C22semidirect
222. #3136C22semidirect
223. C2×#487C22semidirect
224. C2×#486C22semidirect
225. #3125C22semidirect
226. #3124C22semidirect
227. #3118C22semidirect
228. #3118C22semidirect
229. #3115C22semidirect
230. #3111C22semidirect
231. #3106C22semidirect
232. #3106C22semidirect
233. #3106C22semidirect
234. #3104C22semidirect
235. #3103C22semidirect
236. #3102C22semidirect
237. #3102C22semidirect
238. #3102C22semidirect
239. #3101C22semidirect
240. #3101C22semidirect
241. #3100C22semidirect
242. #3100C22semidirect
243. #3046C22semidirect
244. #3045C22semidirect
245. #3042C22semidirect
246. #3041C22semidirect
247. #3037C22semidirect
248. #3036C22semidirect
249. C2×#463C22semidirect
250. #3007C22semidirect
251. #3006C22semidirect
252. #3006C22semidirect
253. #3005C22semidirect
254. #3002C22semidirect
255. C2×#449C22semidirect
256. C2×#449C22semidirect
257. #2994C22semidirect
258. #2993C22semidirect
259. #2993C22semidirect
260. #2983C22semidirect
261. #2982C22semidirect
262. #2975C22semidirect
263. #2974C22semidirect
264. #2972C22semidirect
265. #2969C22semidirect
266. #2966C22semidirect
267. #2966C22semidirect
268. #2924C22semidirect
269. #2920C22semidirect
270. C2×#431C22semidirect

Maximal subgroups

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

subgroupindex
#628222
#627482
#626132
#625522
#625512
#624682
#624312
#624302
#620642
#620632
#620462
#620452
#620402
#620392
#618962
#618862
#615982
#615972
#615902
#615672
#609862
#609512
#609422
#608152
#608052
C2×#32072
#602902