Finite Group Databasebeta

← #10577050

Subgroups — #10577050

Order 512.

6519 conjugacy classes of subgroups.

The subgroup lattice has 2092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#63008C212yesmaximal, complemented
2#61555C214yesmaximal, complemented
3#61550C214yesmaximal, complemented
4#61547C214yesmaximal, complemented
5#61515C214yesmaximal, complemented
6#61506C214yesmaximal, complemented
7#61502C212yesmaximal, complemented
8#61489C212yesmaximal, complemented
9#61468C214yesmaximal, complemented
10#61444C212yesmaximal, complemented
11#61443C212yesmaximal, complemented
12#61406C211yesmaximal, characteristic, complemented
13#61375C211yesmaximal, characteristic, complemented
14#61349C212yesmaximal, complemented
15#61266C212yesmaximal, complemented
16C2×#3355C211yesmaximal, characteristic, complemented
17#61196C212yesmaximal, complemented
18#61191C212yesmaximal, complemented
19#61164C212yesmaximal, complemented
20#61063C212yesmaximal, complemented
21#61038C211yesmaximal, characteristic, complemented
22#60717C211yesmaximal, characteristic, complemented
23#60710C212yesmaximal, complemented
24#60601C212yesmaximal, complemented
25#60587C212yesmaximal, complemented
26#60584C212yesmaximal, complemented
27#60217C211yesmaximal, characteristic, complemented
28C4×#576C211yesmaximal, characteristic, complemented
29#60170C212yesmaximal, complemented
30C2×#576C2211yescharacteristic
31C2×#575C2212yes—
32#3524C2214yescomplemented
33#3521—24no—
34#3521C2214yescomplemented
35#3519—24no—
36#3519C2214yescomplemented
37#3517C2214yescomplemented
38#3516C2214yescomplemented
39#3513—24no—
40#3513C2214yescomplemented
41#3512—22no—
42#3512C2212yescomplemented
43#3506—22no—
44#3506C2212yescomplemented
45#3504C2212yescomplemented
46#3494—22no—
47#3494—22no—
48#3494C2212yescomplemented
49#3494C2212yescomplemented
50#3493—22no—
51#3493C2212yescomplemented
52#3492—22no—
53#3492C2212yescomplemented
54#3488C2212yescomplemented
55#3488C2212yescomplemented
56#3481—24no—
57#3481C2214yescomplemented
58#3480C2214yescomplemented
59#3475—22no—
60#3475C2211yescharacteristic
61C2×#553—22no—
62C2×#553C2212yescomplemented
63D4×#41C2212yescomplemented
64C4×H(5,𝔽2)C2212yescomplemented
65#3428C2212yescomplemented
66C2×#520C2212yescomplemented
67#3403C2212yescomplemented
68#3403C2212yescomplemented
69#3397C2214yescomplemented
70#3396C2214yescomplemented
71#3393C2212yescomplemented
72#3391C2212yescomplemented
73#3390C2212yescomplemented
74#3390C2212yescomplemented
75#3389C2212yescomplemented
76#3389C2212yescomplemented
77#3381C2214yescomplemented
78#3381C2214yescomplemented
79#3377C2214yescomplemented
80#3376C2214yescomplemented
81#3371C2214yescomplemented
82#3370C2214yescomplemented
83#3368C2214yescomplemented
84#3366C2214yescomplemented
85#3365C2214yescomplemented
86#3361C2214yescomplemented
87#3356C2214yescomplemented
88#3355C2212yescomplemented
89#3355C2212yescomplemented
90#3355C2214yescomplemented
91#3355C2212yescomplemented
92#3355C2214yescomplemented
93#3355C2212yescomplemented
94#3355C2214yescomplemented
95#3354C2214yescomplemented
96#3352C2214yescomplemented
97#3350C2214yescomplemented
98#3348C2214yescomplemented
99#3346C2214yescomplemented
100#3343C2214yescomplemented
101#3333C2214yescomplemented
102#3326C2214yescomplemented
103#3326C2214yescomplemented
104#3324C2214yescomplemented
105#3322C2214yescomplemented
106#3322C2214yescomplemented
107#3320C2214yescomplemented
108#3319C2214yescomplemented
109#3318C2214yescomplemented
110#3318C2214yescomplemented
111#3317C2214yescomplemented
112#3314C2214yescomplemented
113#3313C2214yescomplemented
114#3310C2214yescomplemented
115#3309C2214yescomplemented
116#3309C2214yescomplemented
117#3308C2214yescomplemented
118#3307C2214yescomplemented
119#3305C2214yescomplemented
120#3301C2214yescomplemented
121#3300C2214yescomplemented
122#3297C2214yescomplemented
123#3296C2214yescomplemented
124#3294C2214yescomplemented
125#3278C2212yescomplemented
126#3277C2211yescharacteristic, complemented
127#3277C2211yescharacteristic, complemented
128#3276C2212yescomplemented
129#3275C2212yescomplemented
130#3275C2214yescomplemented
131#3275C2212yescomplemented
132#3275C2214yescomplemented
133#3274C2214yescomplemented
134#3274C2214yescomplemented
135#3274C2212yescomplemented
136#3273C2211yescharacteristic, complemented
137#3273C2211yescharacteristic, complemented
138#3272C2212yescomplemented
139#3271C2214yescomplemented
140#3271C2214yescomplemented
141#3264C2214yescomplemented
142#3264C2214yescomplemented
143#3184C2214yescomplemented
144#3183C2214yescomplemented
145#3183C2214yescomplemented
146#3179C2214yescomplemented
147#3179C2214yescomplemented
148#3177C2212yescomplemented
149#3176C2214yescomplemented
150#3176C2212yescomplemented
151#3174C2214yescomplemented
152#3173C2214yescomplemented
153#3171C2214yescomplemented
154#3171C2214yescomplemented
155#3168C2212yescomplemented
156#3168C2212yescomplemented
157#3163C2212yescomplemented
158C2×#499C2211yescharacteristic, complemented
159#3155C2212yescomplemented
160#3147C2211yescharacteristic, complemented
161#3142C2212yescomplemented
162#3136C2212yescomplemented
163#3136C2212yescomplemented
164#3126C2214yescomplemented
165#3124C2214yescomplemented
166#3124C2214yescomplemented
167#3123C2214yescomplemented
168#3122C2214yescomplemented
169#3122C2214yescomplemented
170#3121C2214yescomplemented
171#3120C2214yescomplemented
172#3119C2214yescomplemented
173#3119C2214yescomplemented
174#3119C2214yescomplemented
175#3118C2214yescomplemented
176#3115C2214yescomplemented
177#3114C2214yescomplemented
178#3114C2214yescomplemented
179#3112C2214yescomplemented
180#3111C2214yescomplemented
181#3111C2214yescomplemented
182#3108C2214yescomplemented
183#3106C2214yescomplemented
184#3105C2214yescomplemented
185#3102C2214yescomplemented
186#3102C2214yescomplemented
187#3100C2214yescomplemented
188#3099C2212yescomplemented
189#3098C2212yescomplemented
190#3093C2212yescomplemented
191#3092C2212yescomplemented
192C2×#482C2212yescomplemented
193C2×#480C2212yescomplemented
194#3084C2212yescomplemented
195#3083C2212yescomplemented
196#3083C2212yescomplemented
197#3083C2212yescomplemented
198#3080C2212yescomplemented
199C2×#478C2212yescomplemented
200#3061C2211yescharacteristic, complemented
201#3061C2211yescharacteristic, complemented
202#3060C2212yescomplemented
203#3055C2212yescomplemented
204#3055C2212yescomplemented
205#3054C2212yescomplemented
206C2×#469C2212yescomplemented
207#3045C2212yescomplemented
208#3045C2212yescomplemented
209#3045C2212yescomplemented
210#3045C2212yescomplemented
211#3036C2212yescomplemented
212#3035C2212yescomplemented
213#3012C2212yescomplemented
214#3012C2212yescomplemented
215#3006C2212yescomplemented
216#3006C2212yescomplemented
217#3002C2212yescomplemented
218#3002C2212yescomplemented
219#2971C2212yescomplemented
220#2969C2212yescomplemented
221#2969C2214yescomplemented
222#2967C2214yescomplemented
223#2966C2212yescomplemented
224#2965C2212yescomplemented
225#2962C2211yescharacteristic, complemented
226#2960C2211yescharacteristic, complemented
227#2952C2212yes—
228#2952C2212yescomplemented
229#2952C2212yescomplemented
230#2952C2212yescomplemented
231#2951C2211yescharacteristic
232#2951C2212yescomplemented
233#2951C2212yescomplemented
234#2951C2212yescomplemented
235#2951C2212yescomplemented
236#2951C2211yescharacteristic, complemented
237#2951C2211yescharacteristic, complemented
238#2948C2211yescharacteristic, complemented
239#2948C2212yescomplemented
240#2947C2214yescomplemented
241#2947C2214yescomplemented
242#2946C2214yescomplemented
243#2946C2214yescomplemented
244#2946C2214yescomplemented
245#2946C2212yescomplemented
246#2946C2212yescomplemented
247#2946C2212yescomplemented
248C4×#137C2214yescomplemented
249C4×#137C2214yescomplemented
250C4×AGL(1,ℤ/8)C2214yescomplemented
251C4×AGL(1,ℤ/8)C2214yescomplemented
252C4×AGL(1,ℤ/8)C2214yescomplemented
253C4×AGL(1,ℤ/8)C2212yescomplemented
254C4×#135C2211yescharacteristic
255C4×#135C2212yescomplemented
256C2×C4×D8C2212yescomplemented
257C2×C4×D8C2211yescharacteristic, complemented
258D4×M16C2211yescharacteristic, complemented
259#2933C2212yescomplemented
260#2930C2212yescomplemented
261C2×#436C2211yescharacteristic, complemented
262#2925C2211yescharacteristic, complemented
263#2924C2212yescomplemented
264#2913C2211yescharacteristic, complemented
265C2×#428C2212yescomplemented
266#2897C2212yescomplemented
267#2896C2212yescomplemented
268C2×#417C2212yescomplemented
269C4×#131C2211yescharacteristic, complemented
270#2873C2212yescomplemented
271C2×H(5,𝔽2)C2312yes—
272C22×#41C2312yes—
273C22×#41C2312yes—
274#576—28no—
275#575—216no—
276C2×#137C2312yes—
277C2×#137C2312yes—
278C2×#137C2312yes—
279C2×#137C2312yes—
280C2×AGL(1,ℤ/8)C2312yes—
281C2×AGL(1,ℤ/8)C2312yes—
282C2×AGL(1,ℤ/8)C2312yes—
283C2×AGL(1,ℤ/8)C2314yes—
284C2×AGL(1,ℤ/8)C2312yes—
285C2×AGL(1,ℤ/8)C2312yes—
286C2×AGL(1,ℤ/8)C2312yes—
287C2×AGL(1,ℤ/8)C2312yes—
288C2×#135C2312yes—
289C2×#135C2312yes—
290C2×#135C2312yes—
291C2×#135C2312yes—
292C2×#135C2311yescharacteristic
293C2×#135C2311yescharacteristic
294C2×#135C2311yescharacteristic
295C22×D8C2311yescharacteristic
296C22×D8C2312yes—
297C2×#131C2311yescharacteristic
298C2×#131C2311yescharacteristic
299C22×M16C2312yes—
300C22×M16C2312yes—
301#559—24no—
302#559—24no—
303#559C2314yes—
304#559C2314yes—
305#557C2314yes—
306#557C2314yes—
307#556—24no—
308#556—22no—
309#556—24no—
310#556D411yescharacteristic
311#556C2314yes—
312#556C2314yes—
313#555—22no—
314#555—24no—
315#555—22no—
316#555—22no—
317#555—22no—
318#555D411yescharacteristic
319#555C2314yes—
320#554—22no—
321#554—24no—
322#554—24no—
323#554—24no—
324#554D411yescharacteristic
325#554C2314yes—
326#554C2314yes—
327#554C2314yes—
328#553—24no—
329#553—24no—
330#553—24no—
331#553—22no—
332#553—22no—
333#553—24no—
334#553—24no—
335#553—24no—
336#553—22no—
337#553—22no—
338#553—24no—
339#553—22no—
340#553—24no—
341#553—22no—
342#553—22no—
343#553—22no—
344#553—22no—
345#553—24no—
346#553—24no—
347#553—22no—
348#553—24no—
349#553—22no—
350#553—24no—
351#553—22no—
352#553—22no—
353#553—22no—
354#553D412yes—
355#553C2314yes—
356#553C2314yes—
357#553C2314yes—
358#553C2314yes—
359#553C2314yes—
360#553C2314yes—
361#552—24no—
362#552—24no—
363#552—24no—
364#552—22no—
365#552—22no—
366#552—22no—
367#552—22no—
368#552D412yes—
369#552D412yes—
370#552C2314yes—
371#552C2314yes—
372#551—24no—
373#551—24no—
374#551—24no—
375#551—24no—
376#551—24no—
377#551—24no—
378#551—24no—
379#551—24no—
380#551D414yes—
381#550—24no—
382#550C2314yes—
383#550C2312yes—
384#550C2314yes—
385#550C2314yes—
386D4×Q8C2312yes—
387#548C2312yes—
388#548C2312yes—
389#548C2314yes—
390#548C2314yes—
391#547—22no—
392#547—24no—
393#547—22no—
394#547—22no—
395#547—22no—
396#547—22no—
397#547D411yescharacteristic
398#547C2312yes—
399#547C2314yes—
400#546—24no—
401#546—24no—
402#546—24no—
403#546—24no—
404#546—24no—
405#546—24no—
406#546—24no—
407#546—22no—
408#546—22no—
409#546—24no—
410#546—24no—
411#546D412yes—
412#546C2312yes—
413#546C2312yes—
414#546C2314yes—
415#546C2314yes—
416D42—22no—
417D42—24no—
418D42—24no—
419D42C2312yes—
420D42C2314yes—
421D42C2314yes—
422#544—22no—
423#544—22no—
424#544C2312yes—
425#544C2312yes—
426#542—24no—
427#542—24no—
428#542C2314yes—
429#542C2314yes—
430#541—24no—
431#541C2314yes—
432#540—24no—
433#540—24no—
434#540—24no—
435#540C2314yes—
436#540C2314yes—
437#540C2314yes—
438#539—24no—
439#539—24no—
440#539—24no—
441#538—24no—
442#538—24no—
443#538—24no—
444#538—24no—
445#538—24no—
446#538—24no—
447#537—22no—
448#537—22no—
449#537C2312yes—
450#537C2312yes—
451#535—22no—
452#535—22no—
453#535C2312yes—
454#535C2312yes—
455#533—22no—
456#533C2311yescharacteristic
457#532—24no—
458#532—24no—
459#532—22no—
460#532C2312yes—
461#532C2314yes—
462#532C2314yes—
463#529—24no—
464#529—24no—
465#529—24no—
466#529—24no—
467#529—24no—
468#529—24no—
469#529—24no—
470#529—24no—
471#529—24no—
472#529—24no—
473#529C2314yes—
474#529C2314yes—
475#529C2314yes—
476#529C2314yes—
477#529C2312yes—
478#529C2314yes—
479C2×#126—24no—
480C2×#126—22no—
481C2×#125—22no—
482C2×#125C2312yes—
483#525—24no—
484#525—22no—
485#525—22no—
486#525—24no—
487#525—24no—
488#525—24no—
489#525—22no—
490#525—22no—
491#525—24no—
492#525—24no—
493#525C2312yes—
494#525C2312yes—
495#525C2312yes—
496C2×#123—24no—
497C2×#123—22no—
498C2×#121—22no—
499C2×#121—22no—
500C2×#121—22no—
501C2×#121—24no—
502C2×#121C2312yes—
503C2×#121C2312yes—
504#520—22no—
505#520—22no—
506#520—22no—
507#520—24no—
508#520—22no—
509#520—22no—
510#520C2312yes—
511#520C2312yes—
512#520C2312yes—
513#520C2312yes—
514#520C2314yes—
515#520C2314yes—
516#520C2314yes—
517#520C2312yes—
518#520C2312yes—
519#520C2312yes—
520#520C2312yes—
521#519C2314yes—
522#518—22no—
523#518—24no—
524#518—24no—
525#518C2314yes—
526#518C2314yes—
527#518C2312yes—
528C4×#41—22no—
529C4×#41—24no—
530C4×#41—24no—
531C4×#41C2312yes—
532C4×#41C2314yes—
533C4×#41C2314yes—
534C4×#41C2314yes—
535C4×#41C2312yes—
536C4×#41C2311yescharacteristic
537C2×C4×Q8C2314yes—
538C2×C4×D4—22no—
539C2×C4×D4—24no—
540C2×C4×D4—22no—
541C2×C4×D4—24no—
542C2×C4×D4—24no—
543C2×C4×D4—22no—
544C2×C4×D4C2312yes—
545C2×C4×D4C2314yes—
546C2×C4×D4C2314yes—
547C2×C4×D4C2311yescharacteristic
548C2×#117—22no—
549C2×#117—22no—
550C2×#117—22no—
551C2×#117C2312yes—
552C2×#117C2312yes—
553C22×C4⋊C4—22no—
554C22×C4⋊C4C2312yes—
555#501C2314yes—
556#501C2314yes—
557#499C2314yes—
558#499C2312yes—
559#499C2312yes—
560#499C2312yes—
561#499C2312yes—
562#498C2314yes—
563#496C2314yes—
564#496C2314yes—
565#495C2314yes—
566#495C2312yes—
567#495C2311yescharacteristic
568#495C2311yescharacteristic
569#494C2311yescharacteristic
570#493C2311yescharacteristic
571#493C2314yes—
572#492C2312yes—
573#491C2314yes—
574#490C2314yes—
575#490C2314yes—
576#490C2314yes—
577#489C2314yes—
578#489C2314yes—
579#488C2314yes—
580#488C2314yes—
581#488C2314yes—
582#488C2314yes—
583#486C2314yes—
584#486C2314yes—
585#485C2314yes—
586#485C2314yes—
587#485C2314yes—
588#485C2314yes—
589#484C2314yes—
590#484C2314yes—
591#483C2314yes—
592#483C2314yes—
593#482C2314yes—
594#482C2314yes—
595#482C2314yes—
596#482C2314yes—
597#482C2314yes—
598#482C2314yes—
599#482C2314yes—
600#482C2314yes—
601#481C2314yes—
602#481C2314yes—
603#480C2314yes—
604#480C2314yes—
605#480C2314yes—
606#480C2314yes—
607#480C2314yes—
608#480C2314yes—
609#479C2314yes—
610#479C2314yes—
611#479C2314yes—
612#479C2314yes—
613#479C2314yes—
614#479C2314yes—
615#478C2314yes—
616#478C2314yes—
617#478C2314yes—
618#478C2314yes—
619#478C2314yes—
620#478C2314yes—
621#478C2314yes—
622#478C2314yes—
623#478C2314yes—
624#478C2314yes—
625#477C2314yes—
626#477C2314yes—
627#477C2314yes—
628#476C2314yes—
629#475C2314yes—
630#474C2314yes—
631#474C2314yes—
632#474C2314yes—
633#470C2312yes—
634#470C2314yes—
635#470C2312yes—
636#469C2312yes—
637#469C2314yes—
638#469C2314yes—
639#469C2314yes—
640#469C2314yes—
641#469C2314yes—
642#469C2312yes—
643#469C2314yes—
644#469C2314yes—
645#468C2314yes—
646#468C2314yes—
647#468C2312yes—
648#468C2312yes—
649#468C2312yes—
650#468C2312yes—
651#468C2314yes—
652#468C2314yes—
653#467C2312yes—
654#467C2312yes—
655#466C2312yes—
656#466C2312yes—
657#466C2314yes—
658#466C2314yes—
659#465C2314yes—
660#465C2314yes—
661#465C2314yes—
662#465C2314yes—
663#464C2312yes—
664#464C2314yes—
665#464C2314yes—
666#464C2314yes—
667#464C2312yes—
668#464C2314yes—
669#463C2314yes—
670#463C2314yes—
671#463C2312yes—
672#463C2314yes—
673#463C2312yes—
674#463C2314yes—
675#463C2314yes—
676#463C2314yes—
677#462C2312yes—
678#461C2314yes—
679#461C2312yes—
680#460C2314yes—
681#460C2314yes—
682#460C2314yes—
683#460C2314yes—
684#460C2312yes—
685#459C2314yes—
686#459C2314yes—
687#459C2314yes—
688#459C2314yes—
689#459C2312yes—
690#459C2314yes—
691#452C2312yes—
692#452C2314yes—
693#452C2312yes—
694#452C2314yes—
695#452C2312yes—
696#452C2312yes—
697#451C2312yes—
698#451C2312yes—
699#450C2314yes—
700#450C2312yes—
701#450C2314yes—
702#450C2312yes—
703#449C2314yes—
704#449C2314yes—
705#449C2312yes—
706#449C2314yes—
707#449C2314yes—
708#449C2312yes—
709#449C2312yes—
710#449C2312yes—
711#449C2314yes—
712#449C2314yes—
713#448C2314yes—
714#448C2312yes—
715#448C2314yes—
716#448C2312yes—
717#447C2312yes—
718#447C2314yes—
719#447C2314yes—
720#447C2314yes—
721#447C2314yes—
722#447C2312yes—
723#446C2314yes—
724#446C2312yes—
725#446C2312yes—
726#446C2312yes—
727C8×Q8C2312yes—
728C8×Q8C2312yes—
729C8×Q8C2312yes—
730#442C2314yes—
731#442C2314yes—
732#442C2314yes—
733#442C2314yes—
734#442C2314yes—
735#442C2314yes—
736#442C2314yes—
737#442C2314yes—
738#442C2314yes—
739#441C2314yes—
740#441C2314yes—
741#441C2314yes—
742#441C2314yes—
743#440C2314yes—
744#440C2314yes—
745#440C2314yes—
746#440C2314yes—
747#440C2314yes—
748#440C2314yes—
749#440C2314yes—
750#440C2314yes—
751#440C2314yes—
752#440C2314yes—
753#440C2314yes—
754#440C2314yes—
755#440C2314yes—
756C4×Q16C2314yes—
757C4×Q16C2314yes—
758C4×Q16C2312yes—
759C4×Q16C2314yes—
760C4×Q16C2312yes—
761C4×Q16C2311yescharacteristic
762C4×Q16C2311yescharacteristic
763C4×Q16C2312yes—
764C4×SD16C2314yes—
765C4×SD16C2314yes—
766C4×SD16C2314yes—
767C4×SD16C2314yes—
768C4×SD16C2314yes—
769C4×SD16C2314yes—
770C4×SD16C2314yes—
771C4×SD16C2314yes—
772C4×SD16C2312yes—
773C4×SD16C2312yes—
774C4×SD16C2314yes—
775C4×SD16C2314yes—
776C4×SD16C2314yes—
777C4×SD16C2314yes—
778C4×D8C2314yes—
779C4×D8C2312yes—
780C4×D8C2312yes—
781C4×D8C2312yes—
782C4×D8C2312yes—
783C4×D8C2312yes—
784C4×D8C2314yes—
785C4×D8C2314yes—
786C4×D8C2314yes—
787C4×D8C2314yes—
788C4×D8C2314yes—
789C4×D8C2314yes—
790C4×D8C2312yes—
791C4×D8C2311yescharacteristic
792C4×D8C2311yescharacteristic
793C4×D8C2312yes—
794C4×D8C2312yes—
795C4×D8C2312yes—
796#436C2314yes—
797#436C2314yes—
798#436C2311yescharacteristic
799#436C2311yescharacteristic
800#436C2312yes—
801#436C2312yes—
802#436C2311yescharacteristic
803#436C2311yescharacteristic
804#436C2314yes—
805#436C2312yes—
806#435C2314yes—
807#435C2314yes—
808#435C2314yes—
809#435C2314yes—
810#435C2314yes—
811C8×D4C2314yes—
812C8×D4C2312yes—
813#433C2314yes—
814#433C2314yes—
815#433C2314yes—
816#432C2312yes—
817#432C2314yes—
818#431C2314yes—
819#431C2312yes—
820#428C2312yes—
821#428C2312yes—
822#428C2312yes—
823#428C2314yes—
824#428C2314yes—
825#428C2314yes—
826#428C2314yes—
827#428C2314yes—
828#427C2312yes—
829#427C2311yescharacteristic
830C2×#107C2312yes—
831C2×#107C2311yescharacteristic
832C2×#107C2311yescharacteristic
833C2×#107C2312yes—
834C2×#107C2311yescharacteristic
835C2×#106C2312yes—
836C2×#106C2312yes—
837#424C2312yes—
838#424C2312yes—
839#423C2311yescharacteristic
840C2×C4⋊C8C2311yescharacteristic
841#419C2314yes—
842#418C2312yes—
843#418C2314yes—
844#418C2314yes—
845#417C2314yes—
846#417C2314yes—
847#417C2312yes—
848#417C2312yes—
849#417C2312yes—
850#417C2312yes—
851#417C2312yes—
852#417C2312yes—
853#417C2312yes—
854#417C2312yes—
855#417C2312yes—
856#417C2314yes—
857#416C2312yes—
858#416C2312yes—
859#416C2312yes—
860#416C2314yes—
861#416C2314yes—
862#416C2314yes—
863C2×#103C2314yes—
864C2×#102C2312yes—
865C2×#102C2312yes—
866C2×#102C2312yes—
867C2×#102C2314yes—
868C2×#102C2314yes—
869#408C2312yes—
870#407C2312yes—
871C2×C22⋊C8C2312yes—
872#405C2311yescharacteristic
873#405C2312yes—
874#405C2312yes—
875#405C2314yes—
876#405C2314yes—
877#405C2312yes—
878#405C2312yes—
879#405C2312yes—
880#405C2311yescharacteristic
881C4×M16C2314yes—
882C4×M16C2314yes—
883C4×M16C2311yescharacteristic
884C4×M16C2312yes—
885C2×C4×C8C2311yescharacteristic
886C2×C4×C8C2312yes—
887H(5,𝔽2)—28no—
888H(5,𝔽2)—44no—
889C2×#41—22no—
890C2×#41—24no—
891C2×#41—24no—
892C2×#41—22no—
893C2×#41—22no—
894C2×#41—22no—
895C2×#41—22no—
896C2×#41—24no—
897C2×#41—24no—
898C2×#41—28no—
899C2×#41—28no—
900C2×#41—44no—
901C2×#41—44no—
902C2×#41C2×D412yes—
903C2×#41C2412yes—
904C2×#41C2412yes—
905C2×#41C2412yes—
906C2×#41C2412yes—
907C2×#41C2414yes—
908C2×#41C2412yes—
909C2×#41C2412yes—
910C2×#41C2412yes—
911C2×#41C2411yescharacteristic
912C22×Q8C2412yes—
913C22×Q8C2412yes—
914C22×D4—22no—
915C22×D4—22no—
916C22×D4—22no—
917C22×D4—22no—
918C22×D4—22no—
919C22×D4—24no—
920C22×D4—22no—
921C22×D4—24no—
922C22×D4—24no—
923C22×D4C2×D411yescharacteristic
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2414yes—
927C22×D4C2412yes—
928C23×C4—22no—
929C23×C4—22no—
930C23×C4—22no—
931C23×C4—24no—
932C23×C4—22no—
933C23×C4—24no—
934C23×C4C2412yes—
935#137—28no—
936#137—28no—
937#137—28no—
938#137—28no—
939AGL(1,ℤ/8)—28no—
940AGL(1,ℤ/8)—28no—
941AGL(1,ℤ/8)—28no—
942AGL(1,ℤ/8)—216no—
943AGL(1,ℤ/8)—28no—
944AGL(1,ℤ/8)—28no—
945AGL(1,ℤ/8)—44no—
946AGL(1,ℤ/8)—44no—
947#135—28no—
948#135—28no—
949#135—28no—
950#135—28no—
951#135—42no—
952#135—42no—
953#135#4118yescomplemented
954C2×Q16C2412yes—
955C2×Q16C2412yes—
956C2×Q16C2412yes—
957C2×Q16C2411yescharacteristic
958C2×Q16C2411yescharacteristic
959C2×Q16C2411yescharacteristic
960C2×SD16C2414yes—
961C2×SD16C2412yes—
962C2×SD16C2412yes—
963C2×SD16C2412yes—
964C2×SD16C2412yes—
965C2×SD16C2412yes—
966C2×SD16C2412yes—
967C2×SD16C2412yes—
968C2×SD16C2412yes—
969C2×SD16C2414yes—
970C2×SD16C2414yes—
971C2×SD16C2412yes—
972C2×D8—28no—
973C2×D8—24no—
974C2×D8C2412yes—
975C2×D8C2414yes—
976C2×D8C2412yes—
977C2×D8C2412yes—
978C2×D8C2412yes—
979C2×D8C2412yes—
980C2×D8C2411yescharacteristic
981C2×D8C2411yescharacteristic
982C2×D8C2414yes—
983C2×D8C2414yes—
984C2×D8C2411yescharacteristic
985#131—24no—
986#131—42no—
987C2×M16—28no—
988C2×M16—44no—
989C2×M16C2411yescharacteristic
990C2×M16C2412yes—
991C2×M16C2412yes—
992C2×M16C2412yes—
993C2×M16C2412yes—
994C2×M16C2412yes—
995C2×M16C2411yescharacteristic
996C2×M16C2412yes—
997C2×M16C2414yes—
998C2×M16C2412yes—
999C22×C8C2412yes—
1000C22×C8C2412yes—
1001C22×C8C2411yescharacteristic
1002C22×C8C2414yes—
1003C22×C8C2412yes—
1004C22×C8C2411yescharacteristic
1005C4⋊Q8—24no—
1006C4⋊Q8—24no—
1007C4⋊Q8—22no—
1008C4⋊Q8—22no—
1009C4⋊Q8—22no—
1010C4⋊Q8C2×D411yescharacteristic
1011C4⋊Q8C2×D411yescharacteristic
1012C4⋊Q8C2412yes—
1013C4⋊Q8C2414yes—
1014C4⋊Q8C2414yes—
1015#127—24no—
1016#127—24no—
1017#127—22no—
1018#127C2414yes—
1019#127C2414yes—
1020#127C2412yes—
1021#126—24no—
1022#126—24no—
1023#126—24no—
1024#126—24no—
1025#126—24no—
1026#126—24no—
1027#126—24no—
1028#126—24no—
1029#126—24no—
1030#126—24no—
1031#126—24no—
1032#126—24no—
1033#126—24no—
1034#126—24no—
1035#126—24no—
1036#126—24no—
1037#126—24no—
1038#126—24no—
1039#126—24no—
1040#126—24no—
1041#126C2×D414yes—
1042#126C2×D414yes—
1043#126C2×D414yes—
1044#125—24no—
1045#125—24no—
1046#125—22no—
1047#125—22no—
1048#125—24no—
1049#125—24no—
1050#125—24no—
1051#125—24no—
1052#125—24no—
1053#125—24no—
1054#125—24no—
1055#125—22no—
1056#125—22no—
1057#125C2×D412yes—
1058#125C2×D414yes—
1059#125C2×D412yes—
1060#125C2414yes—
1061#125C2414yes—
1062#125C2414yes—
1063#125C2414yes—
1064#124—24no—
1065#124—24no—
1066#124—24no—
1067#124—22no—
1068#124—22no—
1069#124—24no—
1070#124—24no—
1071#124—24no—
1072#124—24no—
1073#124—24no—
1074#124—24no—
1075#124—24no—
1076#124—24no—
1077#124C2×D414yes—
1078#124C2×D412yes—
1079#124C2412yes—
1080#124C2412yes—
1081#124C2414yes—
1082#124C2414yes—
1083#123—24no—
1084#123—24no—
1085#123—24no—
1086#123—22no—
1087#123—22no—
1088#123—24no—
1089#123—24no—
1090#123—24no—
1091#123—24no—
1092#123—24no—
1093#123—24no—
1094#123—24no—
1095#123—22no—
1096#123—24no—
1097#123—24no—
1098#123—24no—
1099#123—24no—
1100#123—22no—
1101#123—24no—
1102#123—24no—
1103#123—24no—
1104#123—24no—
1105#123—24no—
1106#123—24no—
1107#123—24no—
1108#123—24no—
1109#123—24no—
1110#123—24no—
1111#123—22no—
1112#123—24no—
1113#123—24no—
1114#123—22no—
1115#123—24no—
1116#123—24no—
1117#123C2×D414yes—
1118#123C2×D414yes—
1119#123C2×D414yes—
1120#123C2×D414yes—
1121C22⋊Q8—22no—
1122C22⋊Q8—22no—
1123C22⋊Q8—24no—
1124C22⋊Q8—24no—
1125C22⋊Q8—24no—
1126C22⋊Q8—24no—
1127C22⋊Q8—22no—
1128C22⋊Q8—24no—
1129C22⋊Q8—24no—
1130C22⋊Q8—22no—
1131C22⋊Q8—24no—
1132C22⋊Q8—24no—
1133C22⋊Q8—24no—
1134C22⋊Q8—24no—
1135C22⋊Q8—24no—
1136C22⋊Q8—24no—
1137C22⋊Q8—24no—
1138C22⋊Q8—22no—
1139C22⋊Q8—24no—
1140C22⋊Q8—24no—
1141C22⋊Q8—22no—
1142C22⋊Q8—24no—
1143C22⋊Q8C2×D412yes—
1144C22⋊Q8C2×D412yes—
1145C22⋊Q8C2×D412yes—
1146C22⋊Q8C2×D414yes—
1147C22⋊Q8C2×D412yes—
1148C22⋊Q8C2×D412yes—
1149C22⋊Q8C2412yes—
1150C22⋊Q8C2412yes—
1151C22⋊Q8C2412yes—
1152C22⋊Q8C2412yes—
1153C22⋊Q8C2414yes—
1154C22⋊Q8C2414yes—
1155#121—24no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—22no—
1160#121—22no—
1161#121—24no—
1162#121—24no—
1163#121—24no—
1164#121—24no—
1165#121—22no—
1166#121—24no—
1167#121—24no—
1168#121—22no—
1169#121—24no—
1170#121—22no—
1171#121—22no—
1172#121—22no—
1173#121—24no—
1174#121—22no—
1175#121—22no—
1176#121—22no—
1177#121—22no—
1178#121—24no—
1179#121—22no—
1180#121—22no—
1181#121—24no—
1182#121—22no—
1183#121—22no—
1184#121—24no—
1185#121—24no—
1186#121—24no—
1187#121—24no—
1188#121—22no—
1189#121—24no—
1190#121—24no—
1191#121—24no—
1192#121—24no—
1193#121—22no—
1194#121—22no—
1195#121—22no—
1196#121—24no—
1197#121—24no—
1198#121—22no—
1199#121—24no—
1200#121—24no—
1201#121—24no—
1202#121—24no—
1203#121—24no—
1204#121—24no—
1205#121C2×D412yes—
1206#121C2×D412yes—
1207#121C2×D414yes—
1208#121C2×D412yes—
1209#121C2414yes—
1210#121C2414yes—
1211#121C2414yes—
1212#121C2414yes—
1213#121C2412yes—
1214#121C2412yes—
1215#121C2412yes—
1216#121C2412yes—
1217#121C2414yes—
1218#121C2414yes—
1219#120—22no—
1220#120—22no—
1221#120—22no—
1222#120—24no—
1223#120—24no—
1224#120—22no—
1225#120—24no—
1226#120—22no—
1227#120—24no—
1228#120—24no—
1229#120—24no—
1230#120—24no—
1231#120—24no—
1232#120—22no—
1233#120C2×D414yes—
1234C4×Q8—22no—
1235C4×Q8—24no—
1236C4×Q8—24no—
1237C4×Q8—24no—
1238C4×Q8—24no—
1239C4×Q8—24no—
1240C4×Q8—24no—
1241C4×Q8—24no—
1242C4×Q8C2×D411yescharacteristic
1243C4×Q8C2×D411yescharacteristic
1244C4×Q8C2×D412yes—
1245C4×Q8C2414yes—
1246C4×Q8C2414yes—
1247C4×Q8C2414yes—
1248C4×Q8C2414yes—
1249C4×Q8C2412yes—
1250C4×Q8C2414yes—
1251C4×Q8C2414yes—
1252C4×Q8C2414yes—
1253C4×Q8C2412yes—
1254C4×Q8C2412yes—
1255C4×Q8C2412yes—
1256C4×D4—24no—
1257C4×D4—22no—
1258C4×D4—24no—
1259C4×D4—22no—
1260C4×D4—22no—
1261C4×D4—24no—
1262C4×D4—22no—
1263C4×D4—22no—
1264C4×D4—24no—
1265C4×D4—24no—
1266C4×D4—24no—
1267C4×D4—22no—
1268C4×D4—24no—
1269C4×D4—24no—
1270C4×D4—24no—
1271C4×D4—24no—
1272C4×D4—22no—
1273C4×D4—22no—
1274C4×D4—24no—
1275C4×D4—24no—
1276C4×D4—24no—
1277C4×D4—22no—
1278C4×D4—24no—
1279C4×D4—22no—
1280C4×D4—24no—
1281C4×D4—22no—
1282C4×D4—24no—
1283C4×D4—24no—
1284C4×D4—24no—
1285C4×D4—24no—
1286C4×D4—24no—
1287C4×D4—24no—
1288C4×D4—24no—
1289C4×D4—22no—
1290C4×D4—24no—
1291C4×D4—24no—
1292C4×D4—24no—
1293C4×D4—24no—
1294C4×D4—24no—
1295C4×D4—24no—
1296C4×D4—24no—
1297C4×D4—24no—
1298C4×D4—24no—
1299C4×D4—24no—
1300C4×D4—24no—
1301C4×D4—22no—
1302C4×D4—24no—
1303C4×D4—24no—
1304C4×D4—24no—
1305C4×D4—24no—
1306C4×D4—24no—
1307C4×D4—24no—
1308C4×D4—24no—
1309C4×D4—24no—
1310C4×D4—24no—
1311C4×D4—22no—
1312C4×D4—24no—
1313C4×D4—22no—
1314C4×D4—24no—
1315C4×D4—22no—
1316C4×D4—24no—
1317C4×D4—24no—
1318C4×D4—22no—
1319C4×D4—24no—
1320C4×D4C2×D412yes—
1321C4×D4C2×D411yescharacteristic
1322C4×D4C2×D412yes—
1323C4×D4C2×D414yes—
1324C4×D4C2×D411yescharacteristic
1325C4×D4C2×D411yescharacteristic
1326C4×D4C2×D412yes—
1327C4×D4C2×D411yescharacteristic
1328C4×D4C2×D412yes—
1329C4×D4C2414yes—
1330C4×D4C2412yes—
1331C4×D4C2414yes—
1332C4×D4C2414yes—
1333C4×D4C2414yes—
1334C4×D4C2414yes—
1335C4×D4C2414yes—
1336C4×D4C2414yes—
1337C4×D4C2414yes—
1338C4×D4C2412yes—
1339C4×D4C2414yes—
1340C4×D4C2414yes—
1341C4×D4C2414yes—
1342C4×D4C2411yescharacteristic
1343C4×D4C2412yes—
1344C4×D4C2411yescharacteristic
1345C4×D4C2414yes—
1346C4×D4C2414yes—
1347#117—22no—
1348#117—22no—
1349#117—22no—
1350#117—22no—
1351#117—22no—
1352#117—24no—
1353#117—24no—
1354#117—22no—
1355#117—22no—
1356#117—22no—
1357#117—22no—
1358#117—24no—
1359#117—24no—
1360#117—24no—
1361#117—24no—
1362#117—24no—
1363#117—24no—
1364#117—24no—
1365#117—24no—
1366#117—24no—
1367#117—24no—
1368#117—24no—
1369#117—22no—
1370#117—24no—
1371#117—24no—
1372#117—24no—
1373#117C2×D412yes—
1374#117C2×D412yes—
1375#117C2×D414yes—
1376#117C2×D414yes—
1377#117C2×D412yes—
1378#117C2414yes—
1379#117C2414yes—
1380#117C2412yes—
1381#117C2414yes—
1382#117C2411yescharacteristic
1383#117C2414yes—
1384#117C2412yes—
1385#117C2412yes—
1386C2×C4⋊C4—22no—
1387C2×C4⋊C4—24no—
1388C2×C4⋊C4—22no—
1389C2×C4⋊C4—22no—
1390C2×C4⋊C4—22no—
1391C2×C4⋊C4—22no—
1392C2×C4⋊C4—22no—
1393C2×C4⋊C4—22no—
1394C2×C4⋊C4—24no—
1395C2×C4⋊C4—22no—
1396C2×C4⋊C4—22no—
1397C2×C4⋊C4—24no—
1398C2×C4⋊C4—22no—
1399C2×C4⋊C4—22no—
1400C2×C4⋊C4—22no—
1401C2×C4⋊C4—24no—
1402C2×C4⋊C4—24no—
1403C2×C4⋊C4—22no—
1404C2×C4⋊C4—24no—
1405C2×C4⋊C4C2×D412yes—
1406C2×C4⋊C4C2×D412yes—
1407C2×C4⋊C4C2×D411yescharacteristic
1408C2×C4⋊C4C2412yes—
1409C2×C4⋊C4C2414yes—
1410C2×C4⋊C4C2412yes—
1411C2×C4⋊C4C2414yes—
1412C2×C4⋊C4C2412yes—
1413C2×C4⋊C4C2414yes—
1414C2×C22⋊C4—22no—
1415C2×C22⋊C4—24no—
1416C2×C22⋊C4—22no—
1417C2×C22⋊C4—22no—
1418C2×C22⋊C4—24no—
1419C2×C22⋊C4—22no—
1420C2×C22⋊C4—24no—
1421C2×C22⋊C4—24no—
1422C2×C22⋊C4—22no—
1423C2×C22⋊C4—24no—
1424C2×C22⋊C4—24no—
1425C2×C22⋊C4—24no—
1426C2×C22⋊C4—24no—
1427C2×C22⋊C4—22no—
1428C2×C22⋊C4—24no—
1429C2×C22⋊C4C2×D414yes—
1430C2×C22⋊C4C2×D412yes—
1431C2×C42—24no—
1432C2×C42—22no—
1433C2×C42—24no—
1434C2×C42—24no—
1435C2×C42—22no—
1436C2×C42—24no—
1437C2×C42C2414yes—
1438C2×C42C2411yescharacteristic
1439C2×C42C2412yes—
1440#107C2412yes—
1441#107C2411yescharacteristic
1442#107C2412yes—
1443#107C2414yes—
1444#107C2414yes—
1445#107C2414yes—
1446#107C2412yes—
1447#107C2412yes—
1448#107C2412yes—
1449#107C2412yes—
1450#107C2411yescharacteristic
1451#107C2414yes—
1452#107C2414yes—
1453#106C2414yes—
1454#106C2414yes—
1455#106C2414yes—
1456#106C2414yes—
1457#106C2412yes—
1458#106C2414yes—
1459#106C2414yes—
1460#106C2414yes—
1461C4⋊C8C2411yescharacteristic
1462C4⋊C8C2411yescharacteristic
1463C4⋊C8C2412yes—
1464C4⋊C8C2412yes—
1465C4⋊C8C2412yes—
1466C4⋊C8C2414yes—
1467C4⋊C8C2414yes—
1468C4⋊C8C2414yes—
1469C4⋊C8C2414yes—
1470#103C2414yes—
1471#103C2414yes—
1472#103C2414yes—
1473#103C2414yes—
1474#103C2412yes—
1475#103C2412yes—
1476#103C2414yes—
1477#103C2414yes—
1478#103C2414yes—
1479#103C2412yes—
1480#103C2412yes—
1481#103C2412yes—
1482#103C2412yes—
1483#103C2414yes—
1484#103C2414yes—
1485#102C2414yes—
1486#102C2412yes—
1487#102C2414yes—
1488#102C2414yes—
1489#102C2414yes—
1490#102C2414yes—
1491#102C2414yes—
1492#102C2414yes—
1493#102C2414yes—
1494#102C2414yes—
1495#102C2414yes—
1496#102C2414yes—
1497#102C2414yes—
1498#102C2414yes—
1499#102C2414yes—
1500#102C2412yes—
1501#102C2414yes—
1502#102C2412yes—
1503#102C2412yes—
1504#102C2412yes—
1505#102C2412yes—
1506#102C2414yes—
1507#102C2414yes—
1508C22⋊C8C2412yes—
1509C22⋊C8C2412yes—
1510C22⋊C8C2412yes—
1511C22⋊C8C2412yes—
1512C22⋊C8C2414yes—
1513C22⋊C8C2414yes—
1514C22⋊C8C2414yes—
1515C22⋊C8C2414yes—
1516#97C2412yes—
1517#97C2412yes—
1518#97C2414yes—
1519#97C2414yes—
1520#97C2414yes—
1521#97C2412yes—
1522C4×C8C2411yescharacteristic
1523C4×C8C2412yes—
1524C4×C8C2412yes—
1525C4×C8C2411yescharacteristic
1526C4×C8C2412yes—
1527C4×C8C2411yescharacteristic
1528C4×C8C2411yescharacteristic
1529C4×C8C2414yes—
1530C4×C8C2414yes—
1531C4×C8C2414yes—
1532C24—22no—
1533C24—24no—
1534C24—22no—
1535C24—22no—
1536C24C22×D412yes—
1537#41—22no—
1538#41—22no—
1539#41—24no—
1540#41—28no—
1541#41—24no—
1542#41—24no—
1543#41—24no—
1544#41—24no—
1545#41—24no—
1546#41—24no—
1547#41—24no—
1548#41—24no—
1549#41—48no—
1550#41—48no—
1551#41—42no—
1552#41—42no—
1553#41—42no—
1554#41—42no—
1555#41—44no—
1556#41—48no—
1557#41—48no—
1558#41—48no—
1559#41—82no—
1560#41—88no—
1561#41—164no—
1562#41—164no—
1563#41—164no—
1564#41C2×#4118yes—
1565C2×Q8—22no—
1566C2×Q8—22no—
1567C2×Q8—24no—
1568C2×Q8—24no—
1569C2×Q8—24no—
1570C2×Q8—24no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8C22×D411yescharacteristic
1574C2×Q8C22×D412yes—
1575C2×Q8C22×D412yes—
1576C2×Q8C2512yes—
1577C2×Q8C2512yes—
1578C2×Q8C2512yes—
1579C2×D4—22no—
1580C2×D4—28no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—22no—
1584C2×D4—22no—
1585C2×D4—22no—
1586C2×D4—22no—
1587C2×D4—22no—
1588C2×D4—24no—
1589C2×D4—24no—
1590C2×D4—22no—
1591C2×D4—22no—
1592C2×D4—22no—
1593C2×D4—24no—
1594C2×D4—24no—
1595C2×D4—22no—
1596C2×D4—22no—
1597C2×D4—24no—
1598C2×D4—24no—
1599C2×D4—24no—
1600C2×D4—22no—
1601C2×D4—22no—
1602C2×D4—24no—
1603C2×D4—22no—
1604C2×D4—24no—
1605C2×D4—24no—
1606C2×D4—22no—
1607C2×D4—24no—
1608C2×D4—22no—
1609C2×D4—24no—
1610C2×D4—24no—
1611C2×D4—24no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—44no—
1615C2×D4—48no—
1616C2×D4—416no—
1617C2×D4—48no—
1618C2×D4—48no—
1619C2×D4—81no—
1620C2×D4—84no—
1621C2×D4—88no—
1622C2×D4—84no—
1623C2×D4—164no—
1624C2×D4—162no—
1625C2×D4C22×D412yes—
1626C2×D4C22×D411yescharacteristic
1627C2×D4C22×D414yes—
1628C2×D4C22×D412yes—
1629C2×D4C22×D411yescharacteristic
1630C2×D4C22×D411yescharacteristic
1631C2×D4C22×D414yes—
1632C2×D4C2514yes—
1633C2×D4C2512yes—
1634C2×D4C2512yes—
1635C2×D4C2512yes—
1636C22×C4—22no—
1637C22×C4—24no—
1638C22×C4—24no—
1639C22×C4—22no—
1640C22×C4—22no—
1641C22×C4—22no—
1642C22×C4—22no—
1643C22×C4—24no—
1644C22×C4—22no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—22no—
1648C22×C4—22no—
1649C22×C4—24no—
1650C22×C4—22no—
1651C22×C4—22no—
1652C22×C4—22no—
1653C22×C4—22no—
1654C22×C4—22no—
1655C22×C4—24no—
1656C22×C4—24no—
1657C22×C4—22no—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—24no—
1666C22×C4—24no—
1667C22×C4—48no—
1668C22×C4—48no—
1669C22×C4—164no—
1670C22×C4—162no—
1671C22×C4—164no—
1672C22×C4—162no—
1673C22×C4C22×D412yes—
1674C22×C4C22×D412yes—
1675C22×C4C22×D412yes—
1676C22×C4C22×D414yes—
1677C22×C4C22×D411yescharacteristic
1678C22×C4C22×D412yes—
1679C22×C4C22×D411yescharacteristic
1680C22×C4C22×D414yes—
1681C22×C4C22×D412yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2511yescharacteristic
1686Q16—24no—
1687Q16—24no—
1688Q16—24no—
1689Q16—41no—
1690Q16—41no—
1691Q16C2×#4114yes—
1692SD16—28no—
1693SD16—24no—
1694SD16—24no—
1695SD16—24no—
1696SD16—24no—
1697SD16—24no—
1698SD16—24no—
1699SD16—42no—
1700SD16—42no—
1701SD16—44no—
1702SD16—44no—
1703SD16C2×#4118yes—
1704D8—28no—
1705D8—24no—
1706D8—24no—
1707D8—24no—
1708D8—24no—
1709D8—24no—
1710D8—41no—
1711D8—41no—
1712D8—44no—
1713D8—44no—
1714D8C2×#4114yes—
1715M16—22no—
1716M16—22no—
1717M16—24no—
1718M16—24no—
1719M16—24no—
1720M16—24no—
1721M16—24no—
1722M16—24no—
1723M16—44no—
1724M16—42no—
1725C2×C8—24no—
1726C2×C8—22no—
1727C2×C8—24no—
1728C2×C8—44no—
1729C2×C8—42no—
1730C2×C8C2×#4114yes—
1731C2×C8C2512yes—
1732C2×C8C2511yescharacteristic
1733C2×C8C2512yes—
1734C2×C8C2512yes—
1735C2×C8C2511yescharacteristic
1736C2×C8C2512yes—
1737C2×C8C2514yes—
1738C2×C8C2511yescharacteristic
1739C2×C8C2511yescharacteristic
1740C4⋊C4—22no—
1741C4⋊C4—22no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—22no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—22no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—22no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—22no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—22no—
1765C4⋊C4—22no—
1766C4⋊C4—24no—
1767C4⋊C4—22no—
1768C4⋊C4—22no—
1769C4⋊C4—22no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4C22×D411yescharacteristic
1774C4⋊C4C22×D412yes—
1775C4⋊C4C22×D411yescharacteristic
1776C4⋊C4C22×D414yes—
1777C4⋊C4C22×D412yes—
1778C4⋊C4C22×D412yes—
1779C4⋊C4C22×D412yes—
1780C4⋊C4C22×D414yes—
1781C4⋊C4C22×D414yes—
1782C4⋊C4C22×D414yes—
1783C4⋊C4C22×D411yescharacteristic
1784C4⋊C4C22×D411yescharacteristic
1785C4⋊C4C22×D412yes—
1786C4⋊C4C22×D412yes—
1787C4⋊C4C22×D414yes—
1788C4⋊C4C22×D414yes—
1789C4⋊C4C22×D412yes—
1790C4⋊C4C2514yes—
1791C4⋊C4C2512yes—
1792C4⋊C4C2514yes—
1793C4⋊C4C2514yes—
1794C4⋊C4C2512yes—
1795C22⋊C4—24no—
1796C22⋊C4—22no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—22no—
1801C22⋊C4—22no—
1802C22⋊C4—24no—
1803C22⋊C4—22no—
1804C22⋊C4—22no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—22no—
1808C22⋊C4—22no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—22no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—22no—
1824C22⋊C4—22no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—22no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—22no—
1831C22⋊C4—22no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—22no—
1835C22⋊C4—22no—
1836C22⋊C4C22×D412yes—
1837C22⋊C4C22×D412yes—
1838C22⋊C4C22×D412yes—
1839C22⋊C4C22×D414yes—
1840C22⋊C4C22×D414yes—
1841C22⋊C4C22×D412yes—
1842C22⋊C4C22×D412yes—
1843C22⋊C4C22×D414yes—
1844C22⋊C4C22×D414yes—
1845C22⋊C4C22×D414yes—
1846C22⋊C4C22×D412yes—
1847C22⋊C4C22×D412yes—
1848C22⋊C4C22×D414yes—
1849C22⋊C4C22×D414yes—
1850C42—24no—
1851C42—24no—
1852C42—22no—
1853C42—24no—
1854C42—24no—
1855C42—24no—
1856C42—24no—
1857C42—24no—
1858C42—24no—
1859C42—22no—
1860C42—24no—
1861C42—24no—
1862C42—22no—
1863C42C22×D412yes—
1864C42C22×D411yescharacteristic
1865C42C22×D414yes—
1866C42C22×D414yes—
1867C42C22×D412yes—
1868C42C22×D411yescharacteristic
1869C42C2512yes—
1870C42C2511yescharacteristic
1871C42C2511yescharacteristic
1872C42C2514yes—
1873C23—22no—
1874C23—24no—
1875C23—24no—
1876C23—22no—
1877C23—22no—
1878C23—42no—
1879C23—42no—
1880C23—44no—
1881C23—44no—
1882C23—48no—
1883C23—44no—
1884C23—44no—
1885C23—82no—
1886C23—82no—
1887C23—84no—
1888C23—82no—
1889C23—84no—
1890C23—82no—
1891C23—82no—
1892C23C23×D412yes—
1893C23C23×D412yes—
1894C23C23×D412yes—
1895C23C23×D411yescharacteristic
1896Q8—22no—
1897Q8—22no—
1898Q8—22no—
1899Q8—22no—
1900Q8—22no—
1901Q8—22no—
1902Q8—42no—
1903Q8—42no—
1904Q8—44no—
1905Q8—44no—
1906Q8—84no—
1907Q8—84no—
1908Q8C22×#4114yes—
1909D4—28no—
1910D4—24no—
1911D4—24no—
1912D4—22no—
1913D4—22no—
1914D4—22no—
1915D4—22no—
1916D4—22no—
1917D4—24no—
1918D4—22no—
1919D4—42no—
1920D4—44no—
1921D4—41no—
1922D4—41no—
1923D4—44no—
1924D4—48no—
1925D4—44no—
1926D4—44no—
1927D4—48no—
1928D4—44no—
1929D4—44no—
1930D4—44no—
1931D4—44no—
1932D4—48no—
1933D4—44no—
1934D4—44no—
1935D4—44no—
1936D4—44no—
1937D4—82no—
1938D4—84no—
1939D4—84no—
1940D4—84no—
1941D4—82no—
1942D4—84no—
1943D4—84no—
1944D4—84no—
1945D4—82no—
1946D4—84no—
1947D4—84no—
1948D4—84no—
1949D4—82no—
1950D4—82no—
1951D4C22×#4114yes—
1952C2×C4—22no—
1953C2×C4—24no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—24no—
1961C2×C4—24no—
1962C2×C4—28no—
1963C2×C4—24no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—24no—
1968C2×C4—22no—
1969C2×C4—24no—
1970C2×C4—42no—
1971C2×C4—41no—
1972C2×C4—44no—
1973C2×C4—41no—
1974C2×C4—42no—
1975C2×C4—44no—
1976C2×C4—44no—
1977C2×C4—44no—
1978C2×C4—48no—
1979C2×C4—44no—
1980C2×C4—44no—
1981C2×C4—44no—
1982C2×C4—44no—
1983C2×C4—44no—
1984C2×C4—44no—
1985C2×C4—84no—
1986C2×C4—84no—
1987C2×C4—82no—
1988C2×C4—84no—
1989C2×C4—84no—
1990C2×C4—84no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—82no—
1994C2×C4—84no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—84no—
1998C2×C4—82no—
1999C2×C4—84no—
2000C2×C4—82no—
2001C2×C4—84no—
2002C2×C4—84no—
2003C2×C4—82no—
2004C2×C4C23×D412yes—
2005C2×C4C23×D414yes—
2006C2×C4C23×D412yes—
2007C2×C4C23×D411yescharacteristic
2008C2×C4C23×D412yes—
2009C2×C4C23×D412yes—
2010C2×C4C23×D411yescharacteristic
2011C2×C4C23×D412yes—
2012C2×C4C23×D414yes—
2013C2×C4C23×D411yescharacteristic
2014C2×C4C23×D411yescharacteristic
2015C2×C4C23×D411yescharacteristic
2016C2×C4C22×#4112yes—
2017C2×C4#58512yes—
2018C2×C4C2611yescharacteristic
2019C8—22no—
2020C8—22no—
2021C8—22no—
2022C8—21no—
2023C8—21no—
2024C8—22no—
2025C8—24no—
2026C8C22×#4112yes—
2027C8C22×#4112yes—
2028C22—21no—
2029C22—21no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—24no—
2039C22—22no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—44no—
2044C22—42no—
2045C22—42no—
2046C22—44no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—44no—
2051C22—84no—
2052C22—88no—
2053C22—164no—
2054C22—164no—
2055C22—168no—
2056C22D4×#4112yes—
2057C22C24×D411yescharacteristic
2058C4—22no—
2059C4—21no—
2060C4—21no—
2061C4—24no—
2062C4—21no—
2063C4—22no—
2064C4—21no—
2065C4—24no—
2066C4—22no—
2067C4—22no—
2068C4—24no—
2069C4—22no—
2070C4—44no—
2071C4—42no—
2072C4—44no—
2073C4—44no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4D4×#4112yes—
2078C4C23×#4111yescharacteristic
2079C4C2×#58511yescharacteristic
2080C2—22no—
2081C2—42no—
2082C2—42no—
2083C2—42no—
2084C2—44no—
2085C2—82no—
2086C2—82no—
2087C2—84no—
2088C2C2×D4×#4111yescharacteristic
2089C2#6309011yescharacteristic
2090C2#6309111yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3475 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #63008C2semidirect
2. #61555C2semidirect
3. #61550C2semidirect
4. #61547C2semidirect
5. #61515C2semidirect
6. #61506C2semidirect
7. #61502C2semidirect
8. #61489C2semidirect
9. #61468C2semidirect
10. #61444C2semidirect
11. #61443C2semidirect
12. #61406C2semidirect
13. #61375C2semidirect
14. #61349C2semidirect
15. #61266C2semidirect
16. C2×#3355C2semidirect
17. #61196C2semidirect
18. #61191C2semidirect
19. #61164C2semidirect
20. #61063C2semidirect
21. #61038C2semidirect
22. #60717C2semidirect
23. #60710C2semidirect
24. #60601C2semidirect
25. #60587C2semidirect
26. #60584C2semidirect
27. #60217C2semidirect
28. C4×#576C2semidirect
29. #60170C2semidirect
32. #3524C22semidirect
34. #3521C22semidirect
36. #3519C22semidirect
37. #3517C22semidirect
38. #3516C22semidirect
40. #3513C22semidirect
42. #3512C22semidirect
44. #3506C22semidirect
45. #3504C22semidirect
48. #3494C22semidirect
49. #3494C22semidirect
51. #3493C22semidirect
53. #3492C22semidirect
54. #3488C22semidirect
55. #3488C22semidirect
57. #3481C22semidirect
58. #3480C22semidirect
62. C2×#553C22semidirect
63. D4×#41C22semidirect
64. C4×H(5,𝔽2)C22semidirect
65. #3428C22semidirect
66. C2×#520C22semidirect
67. #3403C22semidirect
68. #3403C22semidirect
69. #3397C22semidirect
70. #3396C22semidirect
71. #3393C22semidirect
72. #3391C22semidirect
73. #3390C22semidirect
74. #3390C22semidirect
75. #3389C22semidirect
76. #3389C22semidirect
77. #3381C22semidirect
78. #3381C22semidirect
79. #3377C22semidirect
80. #3376C22semidirect
81. #3371C22semidirect
82. #3370C22semidirect
83. #3368C22semidirect
84. #3366C22semidirect
85. #3365C22semidirect
86. #3361C22semidirect
87. #3356C22semidirect
88. #3355C22semidirect
89. #3355C22semidirect
90. #3355C22semidirect
91. #3355C22semidirect
92. #3355C22semidirect
93. #3355C22semidirect
94. #3355C22semidirect
95. #3354C22semidirect
96. #3352C22semidirect
97. #3350C22semidirect
98. #3348C22semidirect
99. #3346C22semidirect
100. #3343C22semidirect
101. #3333C22semidirect
102. #3326C22semidirect
103. #3326C22semidirect
104. #3324C22semidirect
105. #3322C22semidirect
106. #3322C22semidirect
107. #3320C22semidirect
108. #3319C22semidirect
109. #3318C22semidirect
110. #3318C22semidirect
111. #3317C22semidirect
112. #3314C22semidirect
113. #3313C22semidirect
114. #3310C22semidirect
115. #3309C22semidirect
116. #3309C22semidirect
117. #3308C22semidirect
118. #3307C22semidirect
119. #3305C22semidirect
120. #3301C22semidirect
121. #3300C22semidirect
122. #3297C22semidirect
123. #3296C22semidirect
124. #3294C22semidirect
125. #3278C22semidirect
126. #3277C22semidirect
127. #3277C22semidirect
128. #3276C22semidirect
129. #3275C22semidirect
130. #3275C22semidirect
131. #3275C22semidirect
132. #3275C22semidirect
133. #3274C22semidirect
134. #3274C22semidirect
135. #3274C22semidirect
136. #3273C22semidirect
137. #3273C22semidirect
138. #3272C22semidirect
139. #3271C22semidirect
140. #3271C22semidirect
141. #3264C22semidirect
142. #3264C22semidirect
143. #3184C22semidirect
144. #3183C22semidirect
145. #3183C22semidirect
146. #3179C22semidirect
147. #3179C22semidirect
148. #3177C22semidirect
149. #3176C22semidirect
150. #3176C22semidirect
151. #3174C22semidirect
152. #3173C22semidirect
153. #3171C22semidirect
154. #3171C22semidirect
155. #3168C22semidirect
156. #3168C22semidirect
157. #3163C22semidirect
158. C2×#499C22semidirect
159. #3155C22semidirect
160. #3147C22semidirect
161. #3142C22semidirect
162. #3136C22semidirect
163. #3136C22semidirect
164. #3126C22semidirect
165. #3124C22semidirect
166. #3124C22semidirect
167. #3123C22semidirect
168. #3122C22semidirect
169. #3122C22semidirect
170. #3121C22semidirect
171. #3120C22semidirect
172. #3119C22semidirect
173. #3119C22semidirect
174. #3119C22semidirect
175. #3118C22semidirect
176. #3115C22semidirect
177. #3114C22semidirect
178. #3114C22semidirect
179. #3112C22semidirect
180. #3111C22semidirect
181. #3111C22semidirect
182. #3108C22semidirect
183. #3106C22semidirect
184. #3105C22semidirect
185. #3102C22semidirect
186. #3102C22semidirect
187. #3100C22semidirect
188. #3099C22semidirect
189. #3098C22semidirect
190. #3093C22semidirect
191. #3092C22semidirect
192. C2×#482C22semidirect
193. C2×#480C22semidirect
194. #3084C22semidirect
195. #3083C22semidirect
196. #3083C22semidirect
197. #3083C22semidirect
198. #3080C22semidirect
199. C2×#478C22semidirect
200. #3061C22semidirect
201. #3061C22semidirect
202. #3060C22semidirect
203. #3055C22semidirect
204. #3055C22semidirect
205. #3054C22semidirect
206. C2×#469C22semidirect
207. #3045C22semidirect
208. #3045C22semidirect
209. #3045C22semidirect
210. #3045C22semidirect
211. #3036C22semidirect
212. #3035C22semidirect
213. #3012C22semidirect
214. #3012C22semidirect
215. #3006C22semidirect
216. #3006C22semidirect
217. #3002C22semidirect
218. #3002C22semidirect
219. #2971C22semidirect
220. #2969C22semidirect
221. #2969C22semidirect
222. #2967C22semidirect
223. #2966C22semidirect
224. #2965C22semidirect
225. #2962C22semidirect
226. #2960C22semidirect
228. #2952C22semidirect
229. #2952C22semidirect
230. #2952C22semidirect
232. #2951C22semidirect
233. #2951C22semidirect
234. #2951C22semidirect
235. #2951C22semidirect
236. #2951C22semidirect
237. #2951C22semidirect
238. #2948C22semidirect
239. #2948C22semidirect
240. #2947C22semidirect
241. #2947C22semidirect
242. #2946C22semidirect
243. #2946C22semidirect
244. #2946C22semidirect
245. #2946C22semidirect
246. #2946C22semidirect
247. #2946C22semidirect
248. C4×#137C22semidirect
249. C4×#137C22semidirect
250. C4×AGL(1,ℤ/8)C22semidirect
251. C4×AGL(1,ℤ/8)C22semidirect
252. C4×AGL(1,ℤ/8)C22semidirect
253. C4×AGL(1,ℤ/8)C22semidirect
255. C4×#135C22semidirect
256. C2×C4×D8C22semidirect
257. C2×C4×D8C22semidirect
258. D4×M16C22semidirect
259. #2933C22semidirect
260. #2930C22semidirect
261. C2×#436C22semidirect
262. #2925C22semidirect
263. #2924C22semidirect
264. #2913C22semidirect
265. C2×#428C22semidirect
266. #2897C22semidirect
267. #2896C22semidirect
268. C2×#417C22semidirect
269. C4×#131C22semidirect
270. #2873C22semidirect
953. #135#41semidirect

Maximal subgroups

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

subgroupindex
#630082
#615552
#615502
#615472
#615152
#615062
#615022
#614892
#614682
#614442
#614432
#614062
#613752
#613492
#612662
C2×#33552
#611962
#611912
#611642
#610632
#610382
#607172
#607102
#606012
#605872
#605842
#602172
C4×#5762
#601702