Finite Group Databasebeta

← #10582315

Subgroups — #10582315

Order 512.

6041 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62835C211yesmaximal, characteristic, complemented
2#62752C211yesmaximal, characteristic, complemented
3#62404C214yesmaximal, complemented
4#62354C214yesmaximal, complemented
5#62281C214yesmaximal, complemented
6#62272C214yesmaximal, complemented
7#62206C214yesmaximal, complemented
8#62165C214yesmaximal, complemented
9#62132C214yesmaximal, complemented
10#62108C212yesmaximal, complemented
11#62100C212yesmaximal, complemented
12#62058C214yesmaximal, complemented
13#62017C214yesmaximal, complemented
14#61982C214yesmaximal, complemented
15#61965C212yesmaximal, complemented
16#61949C212yesmaximal, complemented
17#60993C214yesmaximal, complemented
18#60969C211yesmaximal, characteristic, complemented
19#60950C211yesmaximal, characteristic, complemented
20#60930C214yesmaximal, complemented
21C2×#3249C211yesmaximal, characteristic, complemented
22C2×#3247C211yesmaximal, characteristic, complemented
23#60265C211yesmaximal, characteristic, complemented
24#3565—22no—
25#3564—22no—
26#3563—21no—
27#3563C2212yes—
28#3561—22no—
29#3561C2212yes—
30#3559—21no—
31#3559—22no—
32#3555C2212yescomplemented
33#3554—22no—
34#3552C2212yescomplemented
35#3550C2212yescomplemented
36#3548C2212yescomplemented
37#3547—22no—
38#3547C2212yescomplemented
39#3544C2212yescomplemented
40#3538C2212yes—
41#3536C2212yes—
42#3536C2214yes—
43#3535—22no—
44#3531—22no—
45#3522C2214yescomplemented
46#3520C2214yes—
47#3511C2212yescomplemented
48#3511C2214yescomplemented
49#3508C2212yes—
50#3507—21no—
51#3506—21no—
52#3503C2212yes—
53#3501—21no—
54#3499C2212yescomplemented
55#3497—21no—
56#3494—22no—
57#3489—22no—
58#3482C2214yescomplemented
59Q8×#41C2212yes—
60#3475—22no—
61#3475C2212yes—
62#3461—22no—
63#3461C2214yescomplemented
64#3458—21no—
65#3455—21no—
66#3444C2211yescharacteristic
67C2×#533C2211yescharacteristic
68C2×#533C2211yescharacteristic
69C2×#532C2211yescharacteristic
70C2×#529C2211yescharacteristic
71#3402C2218yescomplemented
72#3400C2214yescomplemented
73#3394C2214yescomplemented
74#3386C2218yescomplemented
75#3385C2214yescomplemented
76Q8×Q16C2214yescomplemented
77#3377C2218yescomplemented
78#3375C2214yescomplemented
79#3369C2214yescomplemented
80#3367C2218yescomplemented
81#3363C2214yescomplemented
82#3361C2214yescomplemented
83#3357C2214yescomplemented
84#3344C2218yes—
85#3343C2218yescomplemented
86#3343C2218yescomplemented
87#3338C2218yes—
88#3338C2214yescomplemented
89#3334C2218yescomplemented
90#3333C2214yescomplemented
91#3331C2214yescomplemented
92#3315C2218yescomplemented
93#3314C2218yes—
94#3314C2218yes—
95#3308C2218yescomplemented
96#3308C2218yescomplemented
97#3308C2218yescomplemented
98#3305C2214yescomplemented
99#3300C2218yescomplemented
100#3299C2218yes—
101#3299C2214yescomplemented
102#3298C2218yescomplemented
103#3296C2218yes—
104#3285C2218yescomplemented
105#3284C2214yescomplemented
106#3280C2218yes—
107#3278C2214yescomplemented
108#3270C2218yescomplemented
109#3269C2218yescomplemented
110#3266C2218yes—
111#3262C2218yescomplemented
112#3262C2218yescomplemented
113#3258C2218yescomplemented
114#3258C2218yescomplemented
115#3254C2212yescomplemented
116#3254C2214yescomplemented
117#3254C2212yescomplemented
118#3252C2212yescomplemented
119#3252C2214yescomplemented
120#3252C2212yescomplemented
121#3249C2212yes—
122#3249C2214yes—
123#3249C2212yes—
124#3249C2214yescomplemented
125#3249C2214yescomplemented
126#3249C2214yescomplemented
127#3247C2214yes—
128#3247C2214yes—
129#3247C2214yes—
130#3247C2214yes—
131#3247C2214yescomplemented
132#3243C2218yescomplemented
133#3238C2212yescomplemented
134#3238C2214yescomplemented
135#3236C2212yes—
136#3230C2212yes—
137#3230C2214yescomplemented
138#3226C2212yescomplemented
139#3225C2218yescomplemented
140#3218C2212yescomplemented
141#3216C2214yescomplemented
142#3215C2212yes—
143#3212C2214yescomplemented
144#3208C2212yes—
145#3206C2212yescomplemented
146#3203C2218yescomplemented
147#3201C2218yescomplemented
148#3195C2212yes—
149#3193C2212yes—
150#3193C2214yes—
151#3182C2214yescomplemented
152#3178C2218yescomplemented
153#3175C2218yescomplemented
154#3172C2214yescomplemented
155#3124C2218yescomplemented
156#3120C2218yescomplemented
157#3116C2214yescomplemented
158#3112C2214yescomplemented
159#3112C2214yescomplemented
160#3110C2214yes—
161#3108C2214yescomplemented
162#3106C2214yescomplemented
163#3104C2212yes—
164#3104C2214yescomplemented
165#3101C2212yes—
166#3083C2218yescomplemented
167#3079C2214yescomplemented
168C2×#477C2211yescharacteristic
169C2×#477C2214yescomplemented
170C2×#477C2212yescomplemented
171C2×#477C2212yescomplemented
172C2×#478C2212yes—
173C2×#476C2211yescharacteristic
174#3063C2218yescomplemented
175#3061C2218yescomplemented
176C2×#467C2214yes—
177C2×#466C2212yes—
178C2×#465C2212yes—
179#3046C2218yescomplemented
180#3037C2214yescomplemented
181#3035C2214yescomplemented
182C2×#462C2212yescomplemented
183C2×#462C2212yescomplemented
184C2×#460C2211yescharacteristic
185C2×#463C2212yes—
186C2×#459C2211yescharacteristic
187#2994C2214yescomplemented
188#2992C2214yes—
189#2990C2214yescomplemented
190#2989C2212yes—
191#2988C2212yes—
192#2962C2212yescomplemented
193#2935C2212yescomplemented
194#2929C2214yes—
195#2925C2212yescomplemented
196#2920C2211yescharacteristic
197#2906C2212yescomplemented
198C22×C4⋊C8C2211yescharacteristic
199C2×2−1+4—22no—
200C22×#41—21no—
201C2×#137C2318yes—
202C2×#135C2318yes—
203C22×Q16C2314yes—
204C22×SD16C2312yes—
205C22×D8C2312yes—
206C2×#131C2314yes—
207C23×C8C2312yes—
208#564—22no—
209#563—24no—
210#563—24no—
211#563—22no—
212#563—24no—
213#563—22no—
214#563—24no—
215#563—24no—
216#562—22no—
217#562—24no—
218#562—24no—
219#562—28no—
220#562—24no—
221#559—24no—
222#559—22no—
223#559C2314yes—
224Q82C2314yes—
225Q82C2312yes—
226#557—22no—
227#557—22no—
228#557C2312yes—
229#557C2314yes—
230#556—22no—
231#556—22no—
232#556—24no—
233#556—24no—
234#556C2314yes—
235#556C2312yes—
236#556C2314yes—
237#555—22no—
238#555—24no—
239#555—22no—
240#555C2312yes—
241#554—22no—
242#554—24no—
243#554—22no—
244#554—22no—
245#554—24no—
246#554—24no—
247#554—22no—
248#554C2312yes—
249#554C2314yes—
250#554C2312yes—
251#554C2314yes—
252#554C2318yes—
253#553—22no—
254#553—22no—
255#553—22no—
256#553—24no—
257#553—24no—
258#553—24no—
259#552—24no—
260#552—24no—
261#552—22no—
262#552—22no—
263#552—22no—
264#552—24no—
265#552—24no—
266#552C2314yes—
267#552C2314yes—
268#552C2314yes—
269#551—24no—
270#551—28no—
271#551—24no—
272#551—24no—
273#550—22no—
274#550—22no—
275#550C2314yes—
276D4×Q8—22no—
277D4×Q8—22no—
278D4×Q8—24no—
279D4×Q8—22no—
280D4×Q8C2314yes—
281D4×Q8C2312yes—
282D4×Q8C2314yes—
283D4×Q8C2314yes—
284#548—24no—
285#548—24no—
286#548—24no—
287#548C2314yes—
288#548C2314yes—
289#548C2318yes—
290#547—24no—
291#547—28no—
292#547—22no—
293#547—24no—
294#547—24no—
295#547—22no—
296#547C2312yes—
297#547C2314yes—
298#547C2314yes—
299#547C2318yes—
300#547C2314yes—
301#546—24no—
302#546—28no—
303#546—24no—
304#546C2314yes—
305#546C2318yes—
306#544—22no—
307#544—22no—
308#544—22no—
309#544—22no—
310#544—22no—
311#544—22no—
312#544—22no—
313#544—22no—
314#544—24no—
315#544C2314yes—
316#543—22no—
317#543—22no—
318#543—24no—
319#542—24no—
320#542—28no—
321#542—22no—
322#542—22no—
323#542—24no—
324#542—24no—
325#542—24no—
326#542—24no—
327#542C2314yes—
328#542C2314yes—
329#542C2318yes—
330#542C2318yes—
331#541—22no—
332#541—24no—
333#541—24no—
334#541—24no—
335#541C2314yes—
336#541C2314yes—
337#540—22no—
338#540—24no—
339#540—24no—
340#539—28no—
341#539—24no—
342#539—22no—
343#539—24no—
344#539—22no—
345#539—22no—
346#539—22no—
347#539—24no—
348#539—24no—
349#538—22no—
350#538—22no—
351#538—24no—
352#537—22no—
353#537—22no—
354#537—24no—
355#537—24no—
356#537C2318yes—
357#537C2314yes—
358#536—24no—
359#536—24no—
360#536—22no—
361#536—24no—
362#536C2314yes—
363#536C2314yes—
364#535—22no—
365#533—24no—
366#533—24no—
367#533—22no—
368#533—24no—
369#533—21no—
370#533—21no—
371#533—21no—
372#533—21no—
373#533—21no—
374#533—21no—
375#533—21no—
376#533—21no—
377#533D411yescharacteristic
378#533D411yescharacteristic
379#533C2312yes—
380#533C2314yes—
381#533C2312yes—
382#533C2312yes—
383#533C2312yes—
384#533C2312yes—
385#533C2312yes—
386#533C2312yes—
387#533C2312yes—
388#533C2314yes—
389#533C2311yescharacteristic
390#532—24no—
391#532—21no—
392#532—21no—
393#532—21no—
394#532—21no—
395#532D411yescharacteristic
396#532D411yescharacteristic
397#532C2314yes—
398#532C2314yes—
399#532C2312yes—
400#532C2312yes—
401#532C2312yes—
402#532C2312yes—
403#532C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2314yes—
410C2×#127C2311yescharacteristic
411#529—24no—
412#529—24no—
413#529—24no—
414#529—24no—
415#529—24no—
416#529—24no—
417#529—24no—
418#529—21no—
419#529—21no—
420#529—21no—
421#529—21no—
422#529D412yes—
423#529D412yes—
424#529D412yes—
425#529D412yes—
426#529C2312yes—
427#529C2312yes—
428#529C2312yes—
429#529C2312yes—
430#529C2314yes—
431#529C2312yes—
432#529C2312yes—
433C2×#126—21no—
434C2×#125—21no—
435C2×#125—21no—
436C2×#125C2311yescharacteristic
437C2×#124—21no—
438C2×#124C2311yescharacteristic
439#525—22no—
440#525—24no—
441#525D412yes—
442#525D412yes—
443#525C2312yes—
444C2×#123—21no—
445C2×C22⋊Q8—21no—
446C2×C22⋊Q8—21no—
447C2×C22⋊Q8—24no—
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121—21no—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454#520—22no—
455#520—22no—
456#520C2318yes—
457#518—22no—
458C4×#41—22no—
459C4×#41—24no—
460C4×#41C2314yes—
461C4×#41C2312yes—
462C4×#41C2312yes—
463C4×#41C2312yes—
464C2×C4×Q8—21no—
465C2×C4×Q8—21no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2314yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2312yes—
470C2×C4×D4—21no—
471C2×C4×D4—21no—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×#117—21no—
475C2×#117—21no—
476C2×#117—22no—
477C2×#117—21no—
478C22×C42C2311yescharacteristic
479#501C2314yes—
480#501C2318yes—
481#500C2318yes—
482#500C2314yes—
483#497C2318yes—
484#497C2314yes—
485#495C2318yes—
486#492C2314yes—
487#491C2314yes—
488#489C2314yes—
489#489C2318yes—
490#489C2318yes—
491#488C2318yes—
492#487C2314yes—
493#487C2318yes—
494#486C2314yes—
495#485C2318yes—
496#484C2314yes—
497#484C2318yes—
498#484C2318yes—
499#484C2318yes—
500#484C2318yes—
501#483C2318yes—
502#483C2314yes—
503#483C2314yes—
504#482C2318yes—
505#480C2318yes—
506#480C2314yes—
507#480C2318yes—
508#480C2318yes—
509#479C2314yes—
510#479C2318yes—
511#479C2314yes—
512#478C2318yes—
513#478C2318yes—
514#478C2318yes—
515#477C2314yes—
516#477C2314yes—
517#477C2312yes—
518#477C2314yes—
519#477C2314yes—
520#477C2314yes—
521#477C2314yes—
522#477C2318yes—
523#477C2314yes—
524#477C2318yes—
525#477C2318yes—
526#477C2318yes—
527#477C2318yes—
528#477C2312yes—
529#477C2314yes—
530#476C2314yes—
531#476C2312yes—
532#476C2314yes—
533#476C2312yes—
534#475C2318yes—
535#474C2318yes—
536#474C2318yes—
537#474C2314yes—
538#474C2314yes—
539#470C2318yes—
540#470C2314yes—
541#470C2314yes—
542#468C2318yes—
543#468C2318yes—
544#468C2318yes—
545#468C2314yes—
546#468C2314yes—
547#468C2318yes—
548#468C2318yes—
549#467C2318yes—
550#467C2318yes—
551#467C2318yes—
552#467C2318yes—
553#467C2318yes—
554#467C2318yes—
555#466C2318yes—
556#466C2318yes—
557#466C2318yes—
558#465C2318yes—
559#465C2318yes—
560#465C2318yes—
561#464C2314yes—
562#464C2314yes—
563#464C2318yes—
564#464C2318yes—
565#464C2318yes—
566#464C2318yes—
567#463C2318yes—
568#463C2318yes—
569#463C2318yes—
570#463C2318yes—
571#462C2314yes—
572#462C2312yes—
573#462C2312yes—
574#462C2314yes—
575#462C2314yes—
576#462C2318yes—
577#462C2314yes—
578#462C2318yes—
579#462C2318yes—
580#461C2312yes—
581#461C2312yes—
582#461C2314yes—
583#461C2314yes—
584#461C2318yes—
585#460C2314yes—
586#460C2314yes—
587#460C2314yes—
588#460C2314yes—
589#459C2314yes—
590#459C2314yes—
591#452C2318yes—
592#452C2318yes—
593#452C2318yes—
594#452C2318yes—
595#451C2314yes—
596#451C2318yes—
597#451C2314yes—
598#450C2314yes—
599#450C2318yes—
600#449C2318yes—
601#449C2318yes—
602#448C2314yes—
603#448C2318yes—
604#448C2318yes—
605#446C2318yes—
606#446C2314yes—
607C8×Q8C2314yes—
608#441C2318yes—
609#440C2318yes—
610#440C2318yes—
611#440C2318yes—
612#440C2318yes—
613#440C2318yes—
614C4×Q16C2314yes—
615C4×Q16C2318yes—
616C4×Q16C2314yes—
617C4×Q16C2318yes—
618C4×SD16C2314yes—
619C4×SD16C2314yes—
620C4×SD16C2318yes—
621C4×D8C2318yes—
622#436C2314yes—
623#435C2318yes—
624#435C2318yes—
625#435C2318yes—
626C8×D4C2318yes—
627C8×D4C2318yes—
628C8×D4C2314yes—
629#433C2318yes—
630#432C2312yes—
631#432C2312yes—
632#432C2314yes—
633#431C2312yes—
634#431C2314yes—
635#431C2312yes—
636#428C2318yes—
637C2×#107C2312yes—
638C2×#107C2314yes—
639C2×#107C2318yes—
640C2×#106C2312yes—
641#424C2318yes—
642#424C2314yes—
643#423C2314yes—
644#423C2311yescharacteristic
645#423C2311yescharacteristic
646C2×C4⋊C8C2312yes—
647C2×C4⋊C8C2311yescharacteristic
648C2×C4⋊C8C2312yes—
649C2×C4⋊C8C2312yes—
650C2×C4⋊C8C2314yes—
651C2×C4⋊C8C2312yes—
652C2×C4⋊C8C2312yes—
653C2×C4⋊C8C2311yescharacteristic
654#417C2318yes—
655#417C2318yes—
656#416C2318yes—
657C2×#103C2312yes—
658C2×#103C2314yes—
659C2×#103C2314yes—
660C2×#103C2318yes—
661C2×#102C2312yes—
662C2×#102C2312yes—
663C2×#102C2312yes—
664#408C2314yes—
665#407C2312yes—
666#405C2314yes—
667C4×M16C2312yes—
6682−1+4—88no—
669C2×#41—24no—
670C2×#41—24no—
671C2×#41—28no—
672C2×#41—22no—
673C2×#41—22no—
674C2×#41—22no—
675C2×#41—22no—
676C2×#41—24no—
677C2×#41—84no—
678C2×#41C2×D412yes—
679C2×#41C2×D412yes—
680C2×#41C2414yes—
681C2×#41C2418yes—
682C2×#41C2412yes—
683C22×Q8—24no—
684C22×Q8—21no—
685C22×Q8—21no—
686C22×Q8—21no—
687C22×Q8—24no—
688C22×Q8C2411yescharacteristic
689C22×Q8C2412yes—
690C22×Q8C2412yes—
691C22×Q8C2414yes—
692C22×D4—21no—
693C22×D4—22no—
694C22×D4—21no—
695C22×D4—21no—
696C22×D4C2411yescharacteristic
697C22×D4C2412yes—
698C23×C4—21no—
699C23×C4—22no—
700C23×C4C2×D411yescharacteristic
701C23×C4C2×D411yescharacteristic
702C23×C4C2411yescharacteristic
703#137—88no—
704#135—88no—
705C2×Q16—84no—
706C2×Q16C2418yes—
707C2×Q16C2418yes—
708C2×Q16C2414yes—
709C2×Q16C2414yes—
710C2×SD16—82no—
711C2×SD16C2418yes—
712C2×SD16C2414yes—
713C2×SD16C2418yes—
714C2×SD16C2418yes—
715C2×SD16C2414yes—
716C2×D8—82no—
717C2×D8C2418yes—
718#131—84no—
719C2×M16C2412yes—
720C2×M16C2418yes—
721C2×M16C2412yes—
722C22×C8—82no—
723C22×C8C2414yes—
724C22×C8C2412yes—
725C22×C8C2412yes—
726C22×C8C2414yes—
727C22×C8C2418yes—
728C4⋊Q8—24no—
729C4⋊Q8—24no—
730C4⋊Q8—24no—
731C4⋊Q8—24no—
732C4⋊Q8—24no—
733C4⋊Q8—24no—
734C4⋊Q8—22no—
735C4⋊Q8—22no—
736C4⋊Q8—24no—
737C4⋊Q8—28no—
738C4⋊Q8—21no—
739C4⋊Q8—21no—
740C4⋊Q8—21no—
741C4⋊Q8—21no—
742C4⋊Q8—21no—
743C4⋊Q8—21no—
744C4⋊Q8—21no—
745C4⋊Q8—21no—
746C4⋊Q8—21no—
747C4⋊Q8—21no—
748C4⋊Q8—24no—
749C4⋊Q8—24no—
750C4⋊Q8C2×D411yescharacteristic
751C4⋊Q8C2×D411yescharacteristic
752C4⋊Q8C2×D411yescharacteristic
753C4⋊Q8C2412yes—
754C4⋊Q8C2412yes—
755C4⋊Q8C2412yes—
756C4⋊Q8C2412yes—
757C4⋊Q8C2414yes—
758C4⋊Q8C2412yes—
759C4⋊Q8C2412yes—
760C4⋊Q8C2412yes—
761C4⋊Q8C2412yes—
762C4⋊Q8C2412yes—
763C4⋊Q8C2412yes—
764C4⋊Q8C2418yes—
765C4⋊Q8C2414yes—
766#127—24no—
767#127—21no—
768#127—21no—
769#127C2×D411yescharacteristic
770#127C2412yes—
771#127C2412yes—
772#126—24no—
773#126—24no—
774#126—24no—
775#126—24no—
776#126—24no—
777#126—28no—
778#126—28no—
779#126—28no—
780#126—24no—
781#126—24no—
782#126—24no—
783#126—24no—
784#126—24no—
785#126—24no—
786#126—24no—
787#126—22no—
788#126—22no—
789#126—22no—
790#126—22no—
791#126—24no—
792#126C2×D414yes—
793#126C2×D414yes—
794#125—24no—
795#125—24no—
796#125—24no—
797#125—24no—
798#125—24no—
799#125—24no—
800#125—24no—
801#125—24no—
802#125—24no—
803#125—24no—
804#125—24no—
805#125—24no—
806#125—24no—
807#125—22no—
808#125—22no—
809#125—28no—
810#125—22no—
811#125—22no—
812#125—22no—
813#125—22no—
814#125—22no—
815#125—22no—
816#125—22no—
817#125—22no—
818#125—21no—
819#125—21no—
820#125—24no—
821#125—24no—
822#125C2×D412yes—
823#125C2×D412yes—
824#125C2×D412yes—
825#125C2412yes—
826#125C2412yes—
827#125C2414yes—
828#124—24no—
829#124—24no—
830#124—24no—
831#124—24no—
832#124—24no—
833#124—24no—
834#124—24no—
835#124—28no—
836#124—28no—
837#124—28no—
838#124—22no—
839#124—22no—
840#124—22no—
841#124—22no—
842#124—21no—
843#124—21no—
844#124—24no—
845#124C2×D412yes—
846#124C2×D412yes—
847#124C2×D412yes—
848#124C2412yes—
849#124C2412yes—
850#124C2414yes—
851#124C2418yes—
852#123—24no—
853#123—24no—
854#123—24no—
855#123—24no—
856#123—24no—
857#123—22no—
858#123—22no—
859#123—22no—
860#123—22no—
861#123—24no—
862#123—24no—
863#123—28no—
864#123—28no—
865#123—28no—
866#123—28no—
867#123—24no—
868#123—24no—
869#123—24no—
870#123—24no—
871#123—24no—
872#123—24no—
873#123—24no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123C2×D414yes—
879#123C2×D414yes—
880#123C2×D414yes—
881C22⋊Q8—24no—
882C22⋊Q8—22no—
883C22⋊Q8—22no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—22no—
888C22⋊Q8—22no—
889C22⋊Q8—22no—
890C22⋊Q8—22no—
891C22⋊Q8—22no—
892C22⋊Q8—22no—
893C22⋊Q8—22no—
894C22⋊Q8—22no—
895C22⋊Q8—21no—
896C22⋊Q8—21no—
897C22⋊Q8—22no—
898C22⋊Q8—22no—
899C22⋊Q8—22no—
900C22⋊Q8—22no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—28no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—24no—
908C22⋊Q8—24no—
909C22⋊Q8—24no—
910C22⋊Q8—24no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913C22⋊Q8—24no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—28no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—24no—
920C22⋊Q8—24no—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—24no—
924C22⋊Q8—24no—
925C22⋊Q8—24no—
926C22⋊Q8—24no—
927C22⋊Q8—24no—
928C22⋊Q8—24no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8C2×D412yes—
932C22⋊Q8C2×D412yes—
933C22⋊Q8C2×D412yes—
934C22⋊Q8C2×D412yes—
935C22⋊Q8C2×D412yes—
936C22⋊Q8C2×D412yes—
937C22⋊Q8C2412yes—
938C22⋊Q8C2412yes—
939C22⋊Q8C2414yes—
940C22⋊Q8C2414yes—
941C22⋊Q8C2414yes—
942C22⋊Q8C2414yes—
943C22⋊Q8C2414yes—
944C22⋊Q8C2414yes—
945C22⋊Q8C2414yes—
946C22⋊Q8C2418yes—
947#121—24no—
948#121—22no—
949#121—22no—
950#121—24no—
951#121—24no—
952#121—24no—
953#121—24no—
954#121—24no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—28no—
959#121—22no—
960#121—22no—
961#121—22no—
962#121—22no—
963#121—21no—
964#121—21no—
965#121—22no—
966#121—22no—
967#121—24no—
968#121—24no—
969#121—24no—
970#121—24no—
971#121—28no—
972#121—28no—
973#121C2×D412yes—
974#121C2×D412yes—
975#121C2×D412yes—
976#121C2×D412yes—
977#121C2×D412yes—
978#121C2×D412yes—
979#121C2412yes—
980#121C2412yes—
981#121C2414yes—
982#121C2414yes—
983#121C2414yes—
984#121C2418yes—
985#120—28no—
986#120—24no—
987#120C2×D414yes—
988C4×Q8—22no—
989C4×Q8—22no—
990C4×Q8—24no—
991C4×Q8—24no—
992C4×Q8—22no—
993C4×Q8—22no—
994C4×Q8—22no—
995C4×Q8—22no—
996C4×Q8—22no—
997C4×Q8—22no—
998C4×Q8—22no—
999C4×Q8—22no—
1000C4×Q8—24no—
1001C4×Q8—22no—
1002C4×Q8—21no—
1003C4×Q8—21no—
1004C4×Q8—22no—
1005C4×Q8—22no—
1006C4×Q8—22no—
1007C4×Q8—24no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8C2×D412yes—
1011C4×Q8C2×D412yes—
1012C4×Q8C2×D412yes—
1013C4×Q8C2×D412yes—
1014C4×Q8C2412yes—
1015C4×Q8C2414yes—
1016C4×Q8C2414yes—
1017C4×Q8C2412yes—
1018C4×Q8C2414yes—
1019C4×Q8C2414yes—
1020C4×Q8C2414yes—
1021C4×Q8C2414yes—
1022C4×Q8C2414yes—
1023C4×Q8C2418yes—
1024C4×Q8C2412yes—
1025C4×Q8C2412yes—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—22no—
1030C4×D4—22no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—22no—
1034C4×D4—22no—
1035C4×D4—22no—
1036C4×D4—22no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—22no—
1048C4×D4—22no—
1049C4×D4—22no—
1050C4×D4—22no—
1051C4×D4—21no—
1052C4×D4—21no—
1053C4×D4—22no—
1054C4×D4—22no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4C2×D414yes—
1059C4×D4C2×D414yes—
1060C4×D4C2×D414yes—
1061C4×D4C2×D414yes—
1062C4×D4C2×D412yes—
1063C4×D4C2×D412yes—
1064C4×D4C2×D412yes—
1065C4×D4C2×D412yes—
1066C4×D4C2412yes—
1067C4×D4C2414yes—
1068C4×D4C2412yes—
1069C4×D4C2414yes—
1070C4×D4C2414yes—
1071C4×D4C2418yes—
1072C4×D4C2414yes—
1073C4×D4C2414yes—
1074C4×D4C2412yes—
1075C4×D4C2412yes—
1076#117—22no—
1077#117—22no—
1078#117—22no—
1079#117—22no—
1080#117—22no—
1081#117—22no—
1082#117—22no—
1083#117—22no—
1084#117—24no—
1085#117—24no—
1086#117—22no—
1087#117—22no—
1088#117—24no—
1089#117—24no—
1090#117—28no—
1091#117—24no—
1092#117—24no—
1093#117—24no—
1094#117—24no—
1095#117—22no—
1096#117—22no—
1097#117—22no—
1098#117—22no—
1099#117—24no—
1100#117C2×D412yes—
1101#117C2×D412yes—
1102#117C2×D414yes—
1103#117C2×D414yes—
1104#117C2414yes—
1105#117C2414yes—
1106#117C2412yes—
1107C2×C4⋊C4—21no—
1108C2×C4⋊C4—21no—
1109C2×C4⋊C4—21no—
1110C2×C4⋊C4—21no—
1111C2×C4⋊C4—21no—
1112C2×C4⋊C4—21no—
1113C2×C4⋊C4—21no—
1114C2×C4⋊C4—21no—
1115C2×C4⋊C4—21no—
1116C2×C4⋊C4—21no—
1117C2×C4⋊C4—22no—
1118C2×C4⋊C4—22no—
1119C2×C4⋊C4—22no—
1120C2×C4⋊C4—22no—
1121C2×C4⋊C4—21no—
1122C2×C4⋊C4—24no—
1123C2×C4⋊C4—24no—
1124C2×C4⋊C4—22no—
1125C2×C4⋊C4—22no—
1126C2×C4⋊C4—24no—
1127C2×C4⋊C4—28no—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2418yes—
1135C2×C22⋊C4—22no—
1136C2×C22⋊C4—22no—
1137C2×C22⋊C4—21no—
1138C2×C22⋊C4—21no—
1139C2×C22⋊C4—21no—
1140C2×C22⋊C4—22no—
1141C2×C22⋊C4—21no—
1142C2×C22⋊C4—22no—
1143C2×C22⋊C4—21no—
1144C2×C22⋊C4—24no—
1145C2×C22⋊C4—28no—
1146C2×C42—21no—
1147C2×C42—22no—
1148C2×C42—22no—
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42C2×D411yescharacteristic
1152C2×C42C2×D411yescharacteristic
1153C2×C42C2×D411yescharacteristic
1154C2×C42C2×D411yescharacteristic
1155C2×C42C2×D411yescharacteristic
1156C2×C42C2×D411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164#107C2418yes—
1165#107C2418yes—
1166#107C2414yes—
1167#107C2418yes—
1168#107C2418yes—
1169#107C2418yes—
1170#107C2414yes—
1171#106C2418yes—
1172#106C2414yes—
1173#106C2414yes—
1174C4⋊C8C2412yes—
1175C4⋊C8C2412yes—
1176C4⋊C8C2414yes—
1177C4⋊C8C2412yes—
1178C4⋊C8C2414yes—
1179C4⋊C8C2412yes—
1180C4⋊C8C2412yes—
1181C4⋊C8C2418yes—
1182C4⋊C8C2412yes—
1183C4⋊C8C2418yes—
1184C4⋊C8C2412yes—
1185C4⋊C8C2412yes—
1186#103C2418yes—
1187#103C2414yes—
1188#103C2418yes—
1189#103C2418yes—
1190#103C2418yes—
1191#103C2418yes—
1192#103C2418yes—
1193#103C2414yes—
1194#103C2414yes—
1195#103C2414yes—
1196#103C2414yes—
1197#103C2414yes—
1198#103C2418yes—
1199#102C2418yes—
1200#102C2418yes—
1201#102C2418yes—
1202#102C2418yes—
1203#102C2414yes—
1204#102C2414yes—
1205#102C2418yes—
1206C22⋊C8C2414yes—
1207C22⋊C8C2414yes—
1208C22⋊C8C2418yes—
1209C22⋊C8C2418yes—
1210#97C2414yes—
1211#97C2418yes—
1212C4×C8C2414yes—
1213C4×C8C2418yes—
1214C24—21no—
1215C24—22no—
1216C24C22×D411yescharacteristic
1217#41—28no—
1218#41—42no—
1219#41—42no—
1220#41—44no—
1221#41—48no—
1222#41—44no—
1223#41—48no—
1224#41—44no—
1225#41—48no—
1226#41—84no—
1227#41—84no—
1228#41—88no—
1229#41—816no—
1230#41—84no—
1231#41—88no—
1232#41—88no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—21no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—28no—
1244C2×Q8—22no—
1245C2×Q8—44no—
1246C2×Q8—41no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—44no—
1250C2×Q8—41no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—44no—
1254C2×Q8—82no—
1255C2×Q8—82no—
1256C2×Q8—88no—
1257C2×Q8—88no—
1258C2×Q8C22×D412yes—
1259C2×Q8C22×D412yes—
1260C2×Q8C22×D412yes—
1261C2×Q8C2512yes—
1262C2×Q8C2514yes—
1263C2×Q8C2514yes—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—21no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—41no—
1279C2×D4—42no—
1280C2×D4—41no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—82no—
1284C2×D4—82no—
1285C2×D4—84no—
1286C2×D4C22×D414yes—
1287C2×D4C22×D412yes—
1288C2×D4C22×D414yes—
1289C2×D4C22×D414yes—
1290C2×D4C22×D412yes—
1291C2×D4C22×D412yes—
1292C2×D4C2512yes—
1293C2×D4C2514yes—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—21no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—28no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—28no—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—84no—
1319C22×C4C22×D411yescharacteristic
1320C22×C4C22×D411yescharacteristic
1321C22×C4C22×D414yes—
1322C22×C4C22×D411yescharacteristic
1323C22×C4C22×D411yescharacteristic
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D411yescharacteristic
1328C22×C4C22×D411yescharacteristic
1329C22×C4C22×D411yescharacteristic
1330C22×C4C22×D411yescharacteristic
1331C22×C4C22×D411yescharacteristic
1332C22×C4C22×D411yescharacteristic
1333C22×C4C22×D411yescharacteristic
1334C22×C4C22×D414yes—
1335C22×C4C22×D411yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2514yes—
1339C22×C4C2511yescharacteristic
1340Q16—48no—
1341Q16—48no—
1342Q16—44no—
1343Q16—44no—
1344SD16—48no—
1345SD16—48no—
1346SD16—44no—
1347SD16—44no—
1348SD16—48no—
1349D8—48no—
1350M16—42no—
1351M16—42no—
1352M16—48no—
1353C2×C8—44no—
1354C2×C8—42no—
1355C2×C8—42no—
1356C2×C8—44no—
1357C2×C8—48no—
1358C2×C8C2514yes—
1359C2×C8C2514yes—
1360C2×C8C2514yes—
1361C2×C8C2514yes—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4C22×D412yes—
1414C4⋊C4C22×D414yes—
1415C4⋊C4C22×D412yes—
1416C4⋊C4C22×D412yes—
1417C4⋊C4C22×D412yes—
1418C4⋊C4C22×D414yes—
1419C4⋊C4C22×D414yes—
1420C4⋊C4C22×D414yes—
1421C4⋊C4C22×D414yes—
1422C4⋊C4C22×D414yes—
1423C4⋊C4C22×D412yes—
1424C4⋊C4C22×D412yes—
1425C4⋊C4C2512yes—
1426C4⋊C4C2512yes—
1427C4⋊C4C2514yes—
1428C4⋊C4C2514yes—
1429C4⋊C4C2514yes—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—22no—
1455C22⋊C4—24no—
1456C22⋊C4—22no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4C22×D414yes—
1462C22⋊C4C22×D414yes—
1463C22⋊C4C22×D414yes—
1464C22⋊C4C22×D414yes—
1465C22⋊C4C22×D414yes—
1466C22⋊C4C22×D414yes—
1467C22⋊C4C22×D414yes—
1468C22⋊C4C22×D414yes—
1469C22⋊C4C22×D414yes—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—28no—
1481C42C22×D414yes—
1482C42C22×D411yescharacteristic
1483C42C22×D411yescharacteristic
1484C42C22×D411yescharacteristic
1485C42C22×D411yescharacteristic
1486C42C22×D411yescharacteristic
1487C42C22×D411yescharacteristic
1488C42C22×D411yescharacteristic
1489C42C22×D411yescharacteristic
1490C42C22×D411yescharacteristic
1491C42C22×D411yescharacteristic
1492C42C22×D411yescharacteristic
1493C42C22×D411yescharacteristic
1494C42C22×D414yes—
1495C42C2511yescharacteristic
1496C42C2514yes—
1497C42C2511yescharacteristic
1498C42C2511yescharacteristic
1499C42C2511yescharacteristic
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—41no—
1505C23—42no—
1506C23—44no—
1507C23—82no—
1508C23—81no—
1509C23—82no—
1510C23—81no—
1511C23C23×D411yescharacteristic
1512C23C23×D414yes—
1513C23C23×D411yescharacteristic
1514C23C23×D411yescharacteristic
1515Q8—24no—
1516Q8—22no—
1517Q8—24no—
1518Q8—24no—
1519Q8—24no—
1520Q8—24no—
1521Q8—22no—
1522Q8—42no—
1523Q8—42no—
1524Q8—44no—
1525Q8—44no—
1526Q8—44no—
1527Q8—81no—
1528Q8—82no—
1529Q8—82no—
1530Q8—84no—
1531Q8—82no—
1532Q8—82no—
1533Q8—88no—
1534Q8—82no—
1535Q8—84no—
1536D4—28no—
1537D4—28no—
1538D4—22no—
1539D4—24no—
1540D4—22no—
1541D4—24no—
1542D4—24no—
1543D4—42no—
1544D4—44no—
1545D4—42no—
1546D4—44no—
1547D4—48no—
1548D4—44no—
1549D4—44no—
1550D4—44no—
1551D4—81no—
1552D4—82no—
1553D4—82no—
1554D4—82no—
1555D4—84no—
1556D4—88no—
1557D4—84no—
1558D4—84no—
1559D4—88no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—28no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—42no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—82no—
1604C2×C4—81no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—84no—
1608C2×C4—81no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4#57814yes—
1612C2×C4C23×D411yescharacteristic
1613C2×C4C23×D411yescharacteristic
1614C2×C4C23×D414yes—
1615C2×C4C23×D414yes—
1616C2×C4C23×D414yes—
1617C2×C4C23×D411yescharacteristic
1618C2×C4C23×D411yescharacteristic
1619C2×C4C23×D411yescharacteristic
1620C2×C4C23×D411yescharacteristic
1621C2×C4C23×D411yescharacteristic
1622C2×C4C23×D411yescharacteristic
1623C2×C4C23×D411yescharacteristic
1624C2×C4C23×D411yescharacteristic
1625C2×C4C23×D411yescharacteristic
1626C2×C4C2611yescharacteristic
1627C8—24no—
1628C8—24no—
1629C8—24no—
1630C8—24no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—24no—
1637C22—21no—
1638C22—24no—
1639C22—21no—
1640C22—24no—
1641C22—44no—
1642C22—42no—
1643C22—44no—
1644C22—44no—
1645C22—42no—
1646C22—42no—
1647C22—44no—
1648C22—162no—
1649C22—164no—
1650C22C2×#57812yes—
1651C22#358512yes—
1652C22C24×D411yescharacteristic
1653C4—21no—
1654C4—21no—
1655C4—24no—
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—24no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—24no—
1665C4—42no—
1666C4—44no—
1667C4—44no—
1668C4—44no—
1669C4—42no—
1670C4—44no—
1671C4—44no—
1672C4—42no—
1673C4C2×#57812yes—
1674C4C2×#57812yes—
1675C4H(7,𝔽2)11yescharacteristic
1676C42−1+611yescharacteristic
1677C2—22no—
1678C2—22no—
1679C2—44no—
1680C2—41no—
1681C2—82no—
1682C2—84no—
1683C2#6285311yescharacteristic
1684C2C22×#57811yescharacteristic
1685C2C2×#358511yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3444 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62835C2semidirect
2. #62752C2semidirect
3. #62404C2semidirect
4. #62354C2semidirect
5. #62281C2semidirect
6. #62272C2semidirect
7. #62206C2semidirect
8. #62165C2semidirect
9. #62132C2semidirect
10. #62108C2semidirect
11. #62100C2semidirect
12. #62058C2semidirect
13. #62017C2semidirect
14. #61982C2semidirect
15. #61965C2semidirect
16. #61949C2semidirect
17. #60993C2semidirect
18. #60969C2semidirect
19. #60950C2semidirect
20. #60930C2semidirect
21. C2×#3249C2semidirect
22. C2×#3247C2semidirect
23. #60265C2semidirect
32. #3555C22semidirect
34. #3552C22semidirect
35. #3550C22semidirect
36. #3548C22semidirect
38. #3547C22semidirect
39. #3544C22semidirect
45. #3522C22semidirect
47. #3511C22semidirect
48. #3511C22semidirect
54. #3499C22semidirect
58. #3482C22semidirect
63. #3461C22semidirect
71. #3402C22semidirect
72. #3400C22semidirect
73. #3394C22semidirect
74. #3386C22semidirect
75. #3385C22semidirect
76. Q8×Q16C22semidirect
77. #3377C22semidirect
78. #3375C22semidirect
79. #3369C22semidirect
80. #3367C22semidirect
81. #3363C22semidirect
82. #3361C22semidirect
83. #3357C22semidirect
85. #3343C22semidirect
86. #3343C22semidirect
88. #3338C22semidirect
89. #3334C22semidirect
90. #3333C22semidirect
91. #3331C22semidirect
92. #3315C22semidirect
95. #3308C22semidirect
96. #3308C22semidirect
97. #3308C22semidirect
98. #3305C22semidirect
99. #3300C22semidirect
101. #3299C22semidirect
102. #3298C22semidirect
104. #3285C22semidirect
105. #3284C22semidirect
107. #3278C22semidirect
108. #3270C22semidirect
109. #3269C22semidirect
111. #3262C22semidirect
112. #3262C22semidirect
113. #3258C22semidirect
114. #3258C22semidirect
115. #3254C22semidirect
116. #3254C22semidirect
117. #3254C22semidirect
118. #3252C22semidirect
119. #3252C22semidirect
120. #3252C22semidirect
124. #3249C22semidirect
125. #3249C22semidirect
126. #3249C22semidirect
131. #3247C22semidirect
132. #3243C22semidirect
133. #3238C22semidirect
134. #3238C22semidirect
137. #3230C22semidirect
138. #3226C22semidirect
139. #3225C22semidirect
140. #3218C22semidirect
141. #3216C22semidirect
143. #3212C22semidirect
145. #3206C22semidirect
146. #3203C22semidirect
147. #3201C22semidirect
151. #3182C22semidirect
152. #3178C22semidirect
153. #3175C22semidirect
154. #3172C22semidirect
155. #3124C22semidirect
156. #3120C22semidirect
157. #3116C22semidirect
158. #3112C22semidirect
159. #3112C22semidirect
161. #3108C22semidirect
162. #3106C22semidirect
164. #3104C22semidirect
166. #3083C22semidirect
167. #3079C22semidirect
169. C2×#477C22semidirect
170. C2×#477C22semidirect
171. C2×#477C22semidirect
174. #3063C22semidirect
175. #3061C22semidirect
179. #3046C22semidirect
180. #3037C22semidirect
181. #3035C22semidirect
182. C2×#462C22semidirect
183. C2×#462C22semidirect
187. #2994C22semidirect
189. #2990C22semidirect
192. #2962C22semidirect
193. #2935C22semidirect
195. #2925C22semidirect
197. #2906C22semidirect

Maximal subgroups

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

subgroupindex
#628352
#627522
#624042
#623542
#622812
#622722
#622062
#621652
#621322
#621082
#621002
#620582
#620172
#619822
#619652
#619492
#609932
#609692
#609502
#609302
C2×#32492
C2×#32472
#602652