Finite Group Databasebeta

← #10582309

Subgroups — #10582309

Order 512.

6049 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62837C211yesmaximal, characteristic, complemented
2#62748C211yesmaximal, characteristic
3#62402C214yesmaximal, complemented
4#62345C214yesmaximal, complemented
5#62281C214yesmaximal, complemented
6#62268C214yesmaximal, complemented
7#62203C214yesmaximal, complemented
8#62167C214yesmaximal, complemented
9#62126C214yesmaximal, complemented
10#62109C212yesmaximal, complemented
11#62101C212yesmaximal, complemented
12#62055C214yesmaximal, complemented
13#62019C214yesmaximal, complemented
14#61980C214yesmaximal, complemented
15#61964C212yesmaximal, complemented
16#61948C212yesmaximal, complemented
17#60991C214yesmaximal, complemented
18#60969C211yesmaximal, characteristic, complemented
19#60950C211yesmaximal, characteristic, complemented
20#60923C214yesmaximal, complemented
21C2×#3248C211yesmaximal, characteristic, complemented
22C2×#3246C211yesmaximal, characteristic, complemented
23#60265C211yesmaximal, characteristic, complemented
24#3563—22no—
25#3563—22no—
26#3562—22no—
27#3561—21no—
28#3560—22no—
29#3559C2212yes—
30#3558—21no—
31#3558C2212yes—
32#3556C2212yescomplemented
33#3555—22no—
34#3555—22no—
35#3554C2212yes—
36#3552C2212yes—
37#3550C2212yescomplemented
38#3546C2212yes—
39#3543C2212yes—
40#3538C2214yescomplemented
41#3537C2212yes—
42#3536C2212yes—
43#3534—22no—
44#3529—22no—
45#3523C2214yescomplemented
46#3523C2214yescomplemented
47#3509C2212yescomplemented
48#3509C2212yescomplemented
49#3509C2214yescomplemented
50#3507—21no—
51#3507—21no—
52#3503C2212yescomplemented
53#3503C2212yescomplemented
54#3502—21no—
55#3502—21no—
56#3495—22no—
57#3495—22no—
58#3481C2214yes—
59#3480C2212yes—
60D4×#41—22no—
61D4×#41C2212yes—
62#3460C2214yes—
63#3459—22no—
64#3455—21no—
65#3449—21no—
66#3444C2211yescharacteristic
67C2×#533C2211yescharacteristic, complemented
68C2×#533C2211yescharacteristic, complemented
69C2×#532C2211yescharacteristic
70C2×#529C2211yescharacteristic
71#3400C2214yescomplemented
72#3400C2218yescomplemented
73#3392C2214yescomplemented
74#3388C2218yescomplemented
75#3386C2214yescomplemented
76#3383C2214yescomplemented
77#3374C2214yescomplemented
78#3372C2218yescomplemented
79#3371C2218yescomplemented
80#3368C2214yescomplemented
81#3365C2214yescomplemented
82#3359C2214yescomplemented
83#3353C2214yescomplemented
84#3350C2218yescomplemented
85#3344C2218yescomplemented
86#3343C2218yescomplemented
87#3342C2214yescomplemented
88#3337C2218yescomplemented
89#3337C2218yescomplemented
90#3328C2214yescomplemented
91#3324C2214yescomplemented
92#3320C2218yescomplemented
93#3320C2218yescomplemented
94#3320C2218yescomplemented
95#3311C2218yescomplemented
96#3310C2218yescomplemented
97#3310C2218yescomplemented
98#3304C2214yescomplemented
99#3300C2218yescomplemented
100#3299C2218yescomplemented
101#3298C2218yescomplemented
102#3298C2214yescomplemented
103#3296C2218yescomplemented
104D4×SD16C2218yescomplemented
105D4×SD16C2218yescomplemented
106D4×SD16C2214yescomplemented
107#3278C2214yescomplemented
108#3270C2218yescomplemented
109#3266C2218yescomplemented
110#3266C2218yescomplemented
111#3260C2218yescomplemented
112#3260C2218yescomplemented
113#3258C2218yescomplemented
114#3258C2218yescomplemented
115#3254C2214yescomplemented
116#3254C2212yescomplemented
117#3254C2212yescomplemented
118#3252C2214yescomplemented
119#3252C2212yescomplemented
120#3252C2212yescomplemented
121#3248C2214yescomplemented
122#3248C2214yescomplemented
123#3248C2214yescomplemented
124#3248C2214yescomplemented
125#3248C2214yescomplemented
126#3246C2212yescomplemented
127#3246C2214yescomplemented
128#3246C2214yescomplemented
129#3246C2214yescomplemented
130#3246C2212yescomplemented
131#3246C2214yescomplemented
132#3242C2218yescomplemented
133#3238C2212yescomplemented
134#3236C2212yescomplemented
135#3235C2214yescomplemented
136#3233C2214yescomplemented
137#3230C2212yescomplemented
138#3226C2212yescomplemented
139#3222C2218yescomplemented
140#3218C2214yescomplemented
141#3218C2212yescomplemented
142#3215C2212yescomplemented
143#3208C2212yescomplemented
144#3206C2212yescomplemented
145#3206C2214yescomplemented
146#3201C2218yescomplemented
147#3200C2218yescomplemented
148#3195C2212yescomplemented
149#3193C2212yes—
150#3193C2214yescomplemented
151#3182C2214yescomplemented
152#3178C2218yescomplemented
153#3174C2218yescomplemented
154#3172C2214yescomplemented
155#3126C2218yescomplemented
156#3121C2218yescomplemented
157#3116C2214yescomplemented
158#3112C2214yescomplemented
159#3110C2214yescomplemented
160#3110C2214yescomplemented
161#3108C2214yescomplemented
162#3107C2214yescomplemented
163#3104C2212yescomplemented
164#3101C2212yescomplemented
165#3101C2214yescomplemented
166#3082C2218yescomplemented
167#3077C2214yescomplemented
168#3076C2214yescomplemented
169C2×#479C2212yescomplemented
170C2×#475C2211yescharacteristic, complemented
171C2×#475C2212yescomplemented
172C2×#476C2212yescomplemented
173C2×#474C2211yescharacteristic, complemented
174#3063C2218yescomplemented
175#3057C2218yescomplemented
176C2×#467C2212yescomplemented
177C2×#465C2212yes—
178C2×#465C2214yescomplemented
179#3043C2218yescomplemented
180#3039C2214yescomplemented
181C2×#464C2212yescomplemented
182C2×#462C2211yescharacteristic, complemented
183C2×#460C2212yescomplemented
184C2×#461C2212yescomplemented
185C2×#461C2214yescomplemented
186C2×#461C2211yescharacteristic, complemented
187#2994C2214yescomplemented
188#2992C2214yescomplemented
189#2990C2214yescomplemented
190#2989C2212yescomplemented
191#2988C2212yescomplemented
192#2962C2212yescomplemented
193#2935C2212yescomplemented
194#2929C2214yescomplemented
195#2925C2212yescomplemented
196#2920C2211yescharacteristic, complemented
197#2906C2212yescomplemented
198C22×C4⋊C8C2211yescharacteristic, complemented
199C22×#41—22no—
200C22×#41—21no—
201C2×#137C2318yes—
202C22×Q16C2312yes—
203C22×SD16C2314yes—
204C22×SD16C2318yes—
205C22×SD16C2312yes—
206C2×#131C2314yes—
207C23×C8C2312yes—
208#564—24no—
209#563—24no—
210#563—22no—
211#563—24no—
212#563—28no—
213#562—22no—
214#562—22no—
215#562—24no—
216#562—24no—
217H(3,𝔽4)—22no—
218#560—24no—
219#560—24no—
220#560—24no—
221#559—22no—
222#559—22no—
223#559C2312yes—
224#559C2314yes—
225Q82—22no—
226Q82—22no—
227Q82—22no—
228#557—22no—
229#557—22no—
230#557—24no—
231#557—24no—
232#557—22no—
233#557—22no—
234#557—24no—
235#557—24no—
236#557C2314yes—
237#557C2314yes—
238#557C2314yes—
239#557C2314yes—
240#557C2312yes—
241#556—24no—
242#556—24no—
243#556—22no—
244#556—24no—
245#556—24no—
246#556—22no—
247#556—22no—
248#556C2312yes—
249#556C2314yes—
250#556C2314yes—
251#554—24no—
252#554—24no—
253#554—22no—
254#554—22no—
255#554C2314yes—
256#554C2314yes—
257#553—24no—
258#553—24no—
259#553C2314yes—
260#553C2314yes—
261#553C2314yes—
262#552—28no—
263#552—28no—
264#552—24no—
265#552—24no—
266#552—24no—
267#552—24no—
268#552—24no—
269#552—24no—
270#552C2318yes—
271#552C2318yes—
272#551—28no—
273#551—24no—
274#551—24no—
275#550—22no—
276#550C2312yes—
277#550C2312yes—
278D4×Q8—22no—
279D4×Q8C2314yes—
280D4×Q8C2314yes—
281D4×Q8C2318yes—
282D4×Q8C2318yes—
283D4×Q8C2312yes—
284#548—22no—
285#548—22no—
286#548—22no—
287#548C2314yes—
288#547—24no—
289#547—22no—
290#547C2314yes—
291#547C2312yes—
292#546—24no—
293#546—24no—
294#546—22no—
295#546—22no—
296#546—24no—
297#546—24no—
298#546—22no—
299#546C2314yes—
300#546C2314yes—
301D42—22no—
302D42—24no—
303D42C2314yes—
304D42C2312yes—
305D42C2314yes—
306#544—24no—
307#544—24no—
308#544—22no—
309#544—22no—
310#544—24no—
311#544—24no—
312#544C2314yes—
313#543—22no—
314#542—22no—
315#542—22no—
316#542—24no—
317#542—24no—
318#542—24no—
319#542C2314yes—
320#542C2314yes—
321#541—28no—
322#541—28no—
323#541—22no—
324#541—24no—
325#541—24no—
326#541—24no—
327#541—24no—
328#541C2318yes—
329#541C2318yes—
330#540—22no—
331#540—24no—
332#540C2314yes—
333#540C2314yes—
334#539—24no—
335#539—24no—
336#539—24no—
337#539—22no—
338#539—22no—
339#539—24no—
340#539—24no—
341#538—24no—
342#538—24no—
343#538—22no—
344#538—22no—
345#538—22no—
346#538—22no—
347#538—24no—
348#538—24no—
349#537—22no—
350#537—22no—
351#537C2314yes—
352#536—22no—
353#536—22no—
354#536—22no—
355#536—22no—
356#536C2318yes—
357#535—22no—
358#535—22no—
359#535C2314yes—
360#535C2314yes—
361#534—24no—
362#534—22no—
363#534—22no—
364#534—22no—
365#533—24no—
366#533—24no—
367#533—21no—
368#533—21no—
369#533—21no—
370#533—21no—
371#533—21no—
372#533—21no—
373#533—21no—
374#533—21no—
375#533D411yescharacteristic
376#533D411yescharacteristic
377#533C2312yes—
378#533C2314yes—
379#533C2314yes—
380#533C2312yes—
381#533C2312yes—
382#533C2312yes—
383#533C2312yes—
384#533C2312yes—
385#533C2312yes—
386#533C2312yes—
387#533C2314yes—
388#533C2311yescharacteristic
389#532—22no—
390#532—24no—
391#532—21no—
392#532—21no—
393#532—21no—
394#532—21no—
395#532D411yescharacteristic
396#532D411yescharacteristic
397#532C2312yes—
398#532C2312yes—
399#532C2312yes—
400#532C2312yes—
401#532C2314yes—
402#532C2311yescharacteristic
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2314yes—
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×#127C2311yescharacteristic
410#529—24no—
411#529—24no—
412#529—24no—
413#529—24no—
414#529—24no—
415#529—21no—
416#529—21no—
417#529—21no—
418#529—21no—
419#529D412yes—
420#529D412yes—
421#529D412yes—
422#529D412yes—
423#529C2312yes—
424#529C2312yes—
425#529C2312yes—
426#529C2312yes—
427#529C2314yes—
428#529C2312yes—
429#529C2312yes—
430C2×#126—21no—
431C2×#125—21no—
432C2×#125—21no—
433C2×#125C2311yescharacteristic
434C2×#124—21no—
435C2×#124C2311yescharacteristic
436#525—24no—
437#525—24no—
438#525—24no—
439#525—24no—
440#525—22no—
441#525—24no—
442#525D412yes—
443#525D412yes—
444#525C2312yes—
445C2×#123—21no—
446C2×C22⋊Q8—21no—
447C2×C22⋊Q8—21no—
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121—21no—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454#520—22no—
455#520—22no—
456#519—22no—
457#519—22no—
458#519C2318yes—
459C4×#41—22no—
460C4×#41C2314yes—
461C4×#41C2312yes—
462C4×#41C2312yes—
463C4×#41C2312yes—
464C2×C4×Q8—21no—
465C2×C4×Q8—21no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×D4—21no—
470C2×C4×D4—24no—
471C2×C4×D4—21no—
472C2×C4×D4C2314yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×#117—21no—
476C2×#117—21no—
477C2×#117—21no—
478C22×C42C2311yescharacteristic
479#501C2318yes—
480#501C2314yes—
481#500C2314yes—
482#499C2318yes—
483#497C2314yes—
484#497C2318yes—
485#492C2318yes—
486#492C2314yes—
487#491C2314yes—
488#491C2318yes—
489#490C2318yes—
490#489C2314yes—
491#488C2318yes—
492#487C2314yes—
493#487C2318yes—
494#486C2314yes—
495#485C2318yes—
496#485C2318yes—
497#485C2318yes—
498#484C2314yes—
499#484C2318yes—
500#484C2318yes—
501#483C2314yes—
502#483C2314yes—
503#483C2318yes—
504#482C2318yes—
505#482C2318yes—
506#482C2318yes—
507#480C2314yes—
508#480C2318yes—
509#479C2318yes—
510#479C2318yes—
511#479C2318yes—
512#479C2318yes—
513#479C2318yes—
514#479C2314yes—
515#479C2314yes—
516#478C2318yes—
517#478C2318yes—
518#478C2318yes—
519#477C2312yes—
520#477C2314yes—
521#477C2318yes—
522#477C2312yes—
523#477C2314yes—
524#476C2314yes—
525#476C2312yes—
526#476C2314yes—
527#476C2318yes—
528#476C2312yes—
529#475C2314yes—
530#475C2314yes—
531#475C2318yes—
532#475C2314yes—
533#475C2314yes—
534#475C2318yes—
535#474C2314yes—
536#474C2314yes—
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#465C2318yes—
553#465C2318yes—
554#465C2318yes—
555#465C2318yes—
556#465C2318yes—
557#465C2318yes—
558#465C2318yes—
559#465C2318yes—
560#465C2318yes—
561#464C2314yes—
562#464C2314yes—
563#464C2318yes—
564#464C2318yes—
565#464C2318yes—
566#464C2318yes—
567#462C2314yes—
568#462C2312yes—
569#462C2312yes—
570#462C2314yes—
571#462C2318yes—
572#461C2312yes—
573#461C2314yes—
574#461C2314yes—
575#461C2312yes—
576#461C2314yes—
577#461C2318yes—
578#461C2314yes—
579#461C2314yes—
580#461C2314yes—
581#461C2318yes—
582#461C2318yes—
583#461C2318yes—
584#460C2314yes—
585#460C2314yes—
586#460C2314yes—
587#460C2314yes—
588#460C2318yes—
589#460C2318yes—
590#460C2318yes—
591#452C2318yes—
592#452C2318yes—
593#451C2318yes—
594#451C2314yes—
595#451C2314yes—
596#450C2314yes—
597#450C2318yes—
598#450C2318yes—
599#450C2318yes—
600#448C2314yes—
601#448C2318yes—
602#448C2318yes—
603#448C2318yes—
604#448C2318yes—
605#446C2314yes—
606#446C2318yes—
607C8×Q8C2314yes—
608#441C2318yes—
609#440C2318yes—
610#440C2318yes—
611#440C2318yes—
612#440C2318yes—
613#440C2318yes—
614C4×Q16C2314yes—
615C4×Q16C2314yes—
616C4×Q16C2318yes—
617C4×SD16C2318yes—
618C4×SD16C2318yes—
619C4×SD16C2314yes—
620C4×SD16C2314yes—
621C4×SD16C2318yes—
622#436C2314yes—
623#435C2318yes—
624#435C2318yes—
625#435C2318yes—
626C8×D4C2318yes—
627C8×D4C2318yes—
628C8×D4C2314yes—
629#433C2318yes—
630#432C2312yes—
631#432C2314yes—
632#432C2312yes—
633#431C2312yes—
634#431C2314yes—
635#431C2312yes—
636#428C2318yes—
637#427C2318yes—
638C2×#107C2312yes—
639C2×#106C2312yes—
640C2×#106C2314yes—
641#424C2318yes—
642#424C2314yes—
643#423C2314yes—
644#423C2311yescharacteristic
645#423C2311yescharacteristic
646C2×C4⋊C8C2311yescharacteristic
647C2×C4⋊C8C2312yes—
648C2×C4⋊C8C2312yes—
649C2×C4⋊C8C2314yes—
650C2×C4⋊C8C2312yes—
651C2×C4⋊C8C2312yes—
652C2×C4⋊C8C2311yescharacteristic
653C2×C4⋊C8C2312yes—
654#419C2318yes—
655#418C2318yes—
656#416C2318yes—
657C2×#103C2314yes—
658C2×#103C2312yes—
659C2×#103C2312yes—
660C2×#103C2312yes—
661C2×#103C2318yes—
662C2×#102C2314yes—
663C2×#102C2312yes—
664#408C2314yes—
665#407C2312yes—
666#405C2314yes—
667C4×M16C2312yes—
668C2×#41—22no—
669C2×#41—22no—
670C2×#41—24no—
671C2×#41—22no—
672C2×#41—24no—
673C2×#41—22no—
674C2×#41—22no—
675C2×#41—22no—
676C2×#41—84no—
677C2×#41—88no—
678C2×#41C2×D412yes—
679C2×#41C2×D412yes—
680C2×#41C2414yes—
681C2×#41C2412yes—
682C22×Q8—22no—
683C22×Q8—21no—
684C22×Q8—21no—
685C22×Q8—21no—
686C22×Q8C2411yescharacteristic
687C22×Q8C2412yes—
688C22×Q8C2412yes—
689C22×Q8C2418yes—
690C22×D4—21no—
691C22×D4—22no—
692C22×D4—24no—
693C22×D4—24no—
694C22×D4—22no—
695C22×D4—21no—
696C22×D4—21no—
697C22×D4C2411yescharacteristic
698C22×D4C2412yes—
699C22×D4C2414yes—
700C23×C4—21no—
701C23×C4—22no—
702C23×C4—24no—
703C23×C4C2×D411yescharacteristic
704C23×C4C2×D411yescharacteristic
705C23×C4C2411yescharacteristic
706#137—88no—
707C2×Q16—82no—
708C2×Q16C2418yes—
709C2×Q16C2414yes—
710C2×Q16C2414yes—
711C2×SD16—82no—
712C2×SD16—84no—
713C2×SD16—88no—
714C2×SD16C2414yes—
715C2×SD16C2418yes—
716C2×SD16C2418yes—
717C2×SD16C2418yes—
718C2×SD16C2418yes—
719C2×SD16C2414yes—
720C2×SD16C2418yes—
721#131—84no—
722C2×M16C2412yes—
723C2×M16C2418yes—
724C2×M16C2412yes—
725C22×C8—82no—
726C22×C8C2414yes—
727C22×C8C2414yes—
728C22×C8C2412yes—
729C22×C8C2412yes—
730C22×C8C2418yes—
731C4⋊Q8—22no—
732C4⋊Q8—24no—
733C4⋊Q8—24no—
734C4⋊Q8—28no—
735C4⋊Q8—24no—
736C4⋊Q8—24no—
737C4⋊Q8—24no—
738C4⋊Q8—28no—
739C4⋊Q8—28no—
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—21no—
749C4⋊Q8—21no—
750C4⋊Q8—24no—
751C4⋊Q8—24no—
752C4⋊Q8C2×D411yescharacteristic
753C4⋊Q8C2×D411yescharacteristic
754C4⋊Q8C2×D411yescharacteristic
755C4⋊Q8C2412yes—
756C4⋊Q8C2412yes—
757C4⋊Q8C2412yes—
758C4⋊Q8C2412yes—
759C4⋊Q8C2418yes—
760C4⋊Q8C2412yes—
761C4⋊Q8C2412yes—
762C4⋊Q8C2412yes—
763C4⋊Q8C2412yes—
764C4⋊Q8C2412yes—
765C4⋊Q8C2412yes—
766C4⋊Q8C2414yes—
767#127—22no—
768#127—24no—
769#127—21no—
770#127—21no—
771#127C2×D411yescharacteristic
772#127C2412yes—
773#127C2412yes—
774#127C2414yes—
775#126—24no—
776#126—24no—
777#126—24no—
778#126—24no—
779#126—24no—
780#126—24no—
781#126—28no—
782#126—28no—
783#126—28no—
784#126—28no—
785#126—28no—
786#126—28no—
787#126—28no—
788#126—28no—
789#126—22no—
790#126—22no—
791#126—22no—
792#126—22no—
793#126—24no—
794#126C2×D414yes—
795#126C2×D414yes—
796#125—24no—
797#125—24no—
798#125—24no—
799#125—24no—
800#125—24no—
801#125—28no—
802#125—28no—
803#125—28no—
804#125—28no—
805#125—28no—
806#125—28no—
807#125—28no—
808#125—28no—
809#125—28no—
810#125—28no—
811#125—22no—
812#125—22no—
813#125—22no—
814#125—22no—
815#125—22no—
816#125—22no—
817#125—22no—
818#125—22no—
819#125—21no—
820#125—21no—
821#125—24no—
822#125—24no—
823#125C2×D412yes—
824#125C2×D412yes—
825#125C2×D412yes—
826#125C2412yes—
827#125C2412yes—
828#125C2414yes—
829#125C2418yes—
830#124—24no—
831#124—24no—
832#124—22no—
833#124—24no—
834#124—24no—
835#124—22no—
836#124—28no—
837#124—24no—
838#124—24no—
839#124—24no—
840#124—22no—
841#124—22no—
842#124—22no—
843#124—22no—
844#124—21no—
845#124—21no—
846#124—24no—
847#124C2×D412yes—
848#124C2×D412yes—
849#124C2×D412yes—
850#124C2412yes—
851#124C2412yes—
852#124C2414yes—
853#123—28no—
854#123—28no—
855#123—28no—
856#123—28no—
857#123—22no—
858#123—22no—
859#123—22no—
860#123—22no—
861#123—24no—
862#123—24no—
863#123—24no—
864#123—24no—
865#123—24no—
866#123—24no—
867#123—24no—
868#123—24no—
869#123—24no—
870#123—24no—
871#123—24no—
872#123—24no—
873#123—24no—
874#123—24no—
875#123—24no—
876#123—24no—
877#123—24no—
878#123—24no—
879#123C2×D414yes—
880#123C2×D414yes—
881#123C2×D414yes—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—22no—
885C22⋊Q8—22no—
886C22⋊Q8—22no—
887C22⋊Q8—22no—
888C22⋊Q8—22no—
889C22⋊Q8—22no—
890C22⋊Q8—22no—
891C22⋊Q8—22no—
892C22⋊Q8—21no—
893C22⋊Q8—21no—
894C22⋊Q8—22no—
895C22⋊Q8—22no—
896C22⋊Q8—22no—
897C22⋊Q8—22no—
898C22⋊Q8—24no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—24no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—22no—
908C22⋊Q8—22no—
909C22⋊Q8—24no—
910C22⋊Q8—24no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913C22⋊Q8—24no—
914C22⋊Q8—24no—
915C22⋊Q8—28no—
916C22⋊Q8—28no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8C2×D412yes—
922C22⋊Q8C2×D412yes—
923C22⋊Q8C2×D412yes—
924C22⋊Q8C2×D412yes—
925C22⋊Q8C2×D412yes—
926C22⋊Q8C2×D412yes—
927C22⋊Q8C2412yes—
928C22⋊Q8C2412yes—
929C22⋊Q8C2414yes—
930C22⋊Q8C2414yes—
931C22⋊Q8C2414yes—
932C22⋊Q8C2414yes—
933C22⋊Q8C2414yes—
934C22⋊Q8C2418yes—
935C22⋊Q8C2418yes—
936#121—24no—
937#121—24no—
938#121—24no—
939#121—24no—
940#121—24no—
941#121—24no—
942#121—24no—
943#121—22no—
944#121—22no—
945#121—22no—
946#121—22no—
947#121—21no—
948#121—21no—
949#121—22no—
950#121—22no—
951#121—24no—
952#121—24no—
953#121—24no—
954#121—22no—
955#121—22no—
956#121—24no—
957#121—24no—
958#121—24no—
959#121—24no—
960#121—24no—
961#121—24no—
962#121—24no—
963#121—24no—
964#121—24no—
965#121—24no—
966#121C2×D412yes—
967#121C2×D412yes—
968#121C2×D412yes—
969#121C2×D412yes—
970#121C2×D412yes—
971#121C2×D412yes—
972#121C2412yes—
973#121C2412yes—
974#121C2414yes—
975#121C2414yes—
976#121C2414yes—
977#121C2414yes—
978#121C2414yes—
979#120—24no—
980#120—24no—
981#120—24no—
982#120—24no—
983#120—24no—
984#120—24no—
985#120—24no—
986#120—24no—
987#120—24no—
988#120—24no—
989#120—24no—
990#120C2×D414yes—
991C4×Q8—24no—
992C4×Q8—24no—
993C4×Q8—22no—
994C4×Q8—22no—
995C4×Q8—24no—
996C4×Q8—24no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—22no—
1002C4×Q8—22no—
1003C4×Q8—22no—
1004C4×Q8—22no—
1005C4×Q8—22no—
1006C4×Q8—22no—
1007C4×Q8—22no—
1008C4×Q8—22no—
1009C4×Q8—21no—
1010C4×Q8—21no—
1011C4×Q8—22no—
1012C4×Q8—22no—
1013C4×Q8—22no—
1014C4×Q8—22no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8C2×D412yes—
1020C4×Q8C2×D412yes—
1021C4×Q8C2×D412yes—
1022C4×Q8C2×D412yes—
1023C4×Q8C2412yes—
1024C4×Q8C2414yes—
1025C4×Q8C2414yes—
1026C4×Q8C2412yes—
1027C4×Q8C2414yes—
1028C4×Q8C2414yes—
1029C4×Q8C2414yes—
1030C4×Q8C2418yes—
1031C4×Q8C2418yes—
1032C4×Q8C2412yes—
1033C4×Q8C2412yes—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—22no—
1040C4×D4—24no—
1041C4×D4—22no—
1042C4×D4—22no—
1043C4×D4—22no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—22no—
1048C4×D4—22no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—22no—
1055C4×D4—22no—
1056C4×D4—22no—
1057C4×D4—22no—
1058C4×D4—21no—
1059C4×D4—24no—
1060C4×D4—22no—
1061C4×D4—21no—
1062C4×D4—22no—
1063C4×D4—24no—
1064C4×D4C2×D414yes—
1065C4×D4C2×D412yes—
1066C4×D4C2×D412yes—
1067C4×D4C2×D414yes—
1068C4×D4C2×D414yes—
1069C4×D4C2×D414yes—
1070C4×D4C2×D412yes—
1071C4×D4C2×D412yes—
1072C4×D4C2412yes—
1073C4×D4C2414yes—
1074C4×D4C2412yes—
1075C4×D4C2414yes—
1076C4×D4C2414yes—
1077C4×D4C2414yes—
1078C4×D4C2414yes—
1079C4×D4C2414yes—
1080C4×D4C2414yes—
1081C4×D4C2412yes—
1082C4×D4C2412yes—
1083#117—22no—
1084#117—22no—
1085#117—22no—
1086#117—22no—
1087#117—22no—
1088#117—22no—
1089#117—22no—
1090#117—22no—
1091#117—24no—
1092#117—24no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—22no—
1098#117—22no—
1099#117—22no—
1100#117—22no—
1101#117—24no—
1102#117—24no—
1103#117C2×D412yes—
1104#117C2×D412yes—
1105#117C2×D414yes—
1106#117C2×D414yes—
1107#117C2414yes—
1108#117C2418yes—
1109#117C2414yes—
1110#117C2412yes—
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—21no—
1118C2×C4⋊C4—21no—
1119C2×C4⋊C4—21no—
1120C2×C4⋊C4—21no—
1121C2×C4⋊C4—22no—
1122C2×C4⋊C4—22no—
1123C2×C4⋊C4—22no—
1124C2×C4⋊C4—22no—
1125C2×C4⋊C4—21no—
1126C2×C4⋊C4—24no—
1127C2×C4⋊C4—24no—
1128C2×C4⋊C4—24no—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
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—24no—
1146C2×C22⋊C4—24no—
1147C2×C42—21no—
1148C2×C42—22no—
1149C2×C42—22no—
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×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164#107C2418yes—
1165#107C2414yes—
1166#107C2418yes—
1167#107C2418yes—
1168#107C2414yes—
1169#106C2418yes—
1170#106C2418yes—
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#103C2418yes—
1198#103C2414yes—
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—
1216C24—24no—
1217C24C22×D411yescharacteristic
1218#41—28no—
1219#41—42no—
1220#41—42no—
1221#41—44no—
1222#41—44no—
1223#41—44no—
1224#41—48no—
1225#41—84no—
1226#41—88no—
1227#41—84no—
1228#41—84no—
1229#41—88no—
1230#41—84no—
1231#41—84no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—21no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—28no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—44no—
1244C2×Q8—42no—
1245C2×Q8—42no—
1246C2×Q8—48no—
1247C2×Q8—41no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—41no—
1251C2×Q8—48no—
1252C2×Q8—44no—
1253C2×Q8—82no—
1254C2×Q8—84no—
1255C2×Q8C22×D412yes—
1256C2×Q8C22×D412yes—
1257C2×Q8C22×D412yes—
1258C2×Q8C2512yes—
1259C2×Q8C2514yes—
1260C2×Q8C2514yes—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—21no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—42no—
1279C2×D4—41no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—41no—
1283C2×D4—44no—
1284C2×D4—82no—
1285C2×D4—82no—
1286C2×D4—84no—
1287C2×D4—88no—
1288C2×D4—88no—
1289C2×D4—82no—
1290C2×D4—84no—
1291C2×D4C22×D414yes—
1292C2×D4C22×D414yes—
1293C2×D4C22×D412yes—
1294C2×D4C22×D412yes—
1295C2×D4C22×D412yes—
1296C2×D4C22×D414yes—
1297C2×D4C2512yes—
1298C2×D4C2514yes—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—21no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—84no—
1323C22×C4—88no—
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D411yescharacteristic
1328C22×C4C22×D411yescharacteristic
1329C22×C4C22×D411yescharacteristic
1330C22×C4C22×D411yescharacteristic
1331C22×C4C22×D414yes—
1332C22×C4C22×D411yescharacteristic
1333C22×C4C22×D411yescharacteristic
1334C22×C4C22×D411yescharacteristic
1335C22×C4C22×D411yescharacteristic
1336C22×C4C22×D411yescharacteristic
1337C22×C4C22×D411yescharacteristic
1338C22×C4C22×D411yescharacteristic
1339C22×C4C22×D414yes—
1340C22×C4C22×D411yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345Q16—48no—
1346Q16—44no—
1347Q16—44no—
1348SD16—48no—
1349SD16—48no—
1350SD16—44no—
1351SD16—48no—
1352SD16—48no—
1353SD16—44no—
1354SD16—48no—
1355M16—42no—
1356M16—42no—
1357M16—48no—
1358C2×C8—44no—
1359C2×C8—42no—
1360C2×C8—44no—
1361C2×C8—42no—
1362C2×C8—48no—
1363C2×C8C2514yes—
1364C2×C8C2514yes—
1365C2×C8C2514yes—
1366C2×C8C2514yes—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—28no—
1416C4⋊C4C22×D414yes—
1417C4⋊C4C22×D412yes—
1418C4⋊C4C22×D412yes—
1419C4⋊C4C22×D412yes—
1420C4⋊C4C22×D414yes—
1421C4⋊C4C22×D412yes—
1422C4⋊C4C22×D414yes—
1423C4⋊C4C22×D414yes—
1424C4⋊C4C22×D414yes—
1425C4⋊C4C22×D414yes—
1426C4⋊C4C22×D412yes—
1427C4⋊C4C22×D412yes—
1428C4⋊C4C2514yes—
1429C4⋊C4C2514yes—
1430C4⋊C4C2512yes—
1431C4⋊C4C2514yes—
1432C4⋊C4C2512yes—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—22no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—22no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4C22×D414yes—
1465C22⋊C4C22×D414yes—
1466C22⋊C4C22×D414yes—
1467C22⋊C4C22×D414yes—
1468C22⋊C4C22×D414yes—
1469C22⋊C4C22×D414yes—
1470C22⋊C4C22×D414yes—
1471C22⋊C4C22×D414yes—
1472C22⋊C4C22×D414yes—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—28no—
1482C42—28no—
1483C42—28no—
1484C42C22×D414yes—
1485C42C22×D411yescharacteristic
1486C42C22×D411yescharacteristic
1487C42C22×D411yescharacteristic
1488C42C22×D411yescharacteristic
1489C42C22×D411yescharacteristic
1490C42C22×D411yescharacteristic
1491C42C22×D411yescharacteristic
1492C42C22×D411yescharacteristic
1493C42C22×D411yescharacteristic
1494C42C22×D411yescharacteristic
1495C42C22×D411yescharacteristic
1496C42C22×D411yescharacteristic
1497C42C22×D414yes—
1498C42C2511yescharacteristic
1499C42C2514yes—
1500C42C2511yescharacteristic
1501C42C2511yescharacteristic
1502C42C2511yescharacteristic
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—24no—
1507C23—41no—
1508C23—44no—
1509C23—42no—
1510C23—82no—
1511C23—84no—
1512C23—81no—
1513C23—82no—
1514C23—84no—
1515C23—81no—
1516C23—84no—
1517C23C23×D411yescharacteristic
1518C23C23×D414yes—
1519C23C23×D411yescharacteristic
1520C23C23×D411yescharacteristic
1521Q8—24no—
1522Q8—24no—
1523Q8—24no—
1524Q8—22no—
1525Q8—24no—
1526Q8—24no—
1527Q8—22no—
1528Q8—42no—
1529Q8—42no—
1530Q8—44no—
1531Q8—44no—
1532Q8—44no—
1533Q8—44no—
1534Q8—44no—
1535Q8—82no—
1536Q8—81no—
1537Q8—82no—
1538Q8—88no—
1539Q8—82no—
1540Q8—84no—
1541D4—28no—
1542D4—28no—
1543D4—22no—
1544D4—24no—
1545D4—22no—
1546D4—24no—
1547D4—24no—
1548D4—42no—
1549D4—42no—
1550D4—44no—
1551D4—44no—
1552D4—48no—
1553D4—44no—
1554D4—82no—
1555D4—81no—
1556D4—84no—
1557D4—82no—
1558D4—82no—
1559D4—84no—
1560D4—82no—
1561D4—84no—
1562D4—82no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—28no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—42no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—82no—
1612C2×C4—84no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—82no—
1616C2×C4—82no—
1617C2×C4—88no—
1618C2×C4#57714yes—
1619C2×C4C23×D411yescharacteristic
1620C2×C4C23×D411yescharacteristic
1621C2×C4C23×D411yescharacteristic
1622C2×C4C23×D414yes—
1623C2×C4C23×D414yes—
1624C2×C4C23×D414yes—
1625C2×C4C23×D411yescharacteristic
1626C2×C4C23×D411yescharacteristic
1627C2×C4C23×D411yescharacteristic
1628C2×C4C23×D411yescharacteristic
1629C2×C4C23×D411yescharacteristic
1630C2×C4C23×D411yescharacteristic
1631C2×C4C23×D411yescharacteristic
1632C2×C4C23×D411yescharacteristic
1633C2×C4C2611yescharacteristic
1634C8—24no—
1635C8—24no—
1636C8—24no—
1637C8—24no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—24no—
1644C22—21no—
1645C22—24no—
1646C22—21no—
1647C22—24no—
1648C22—44no—
1649C22—42no—
1650C22—44no—
1651C22—44no—
1652C22—42no—
1653C22—44no—
1654C22—42no—
1655C22—164no—
1656C22—162no—
1657C22—168no—
1658C22C2×#57712yes—
1659C22#358612yes—
1660C22C24×D411yescharacteristic
1661C4—21no—
1662C4—21no—
1663C4—24no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—24no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—24no—
1673C4—42no—
1674C4—44no—
1675C4—44no—
1676C4—44no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—44no—
1681C4C2×#57712yes—
1682C4C2×#57712yes—
1683C4H(7,𝔽2)11yescharacteristic
1684C42−1+611yescharacteristic
1685C2—22no—
1686C2—22no—
1687C2—41no—
1688C2—44no—
1689C2—84no—
1690C2—82no—
1691C2#6285311yescharacteristic
1692C2C22×#57711yescharacteristic
1693C2C2×#358611yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
prime radical#62748C2
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. #62837C2semidirect
3. #62402C2semidirect
4. #62345C2semidirect
5. #62281C2semidirect
6. #62268C2semidirect
7. #62203C2semidirect
8. #62167C2semidirect
9. #62126C2semidirect
10. #62109C2semidirect
11. #62101C2semidirect
12. #62055C2semidirect
13. #62019C2semidirect
14. #61980C2semidirect
15. #61964C2semidirect
16. #61948C2semidirect
17. #60991C2semidirect
18. #60969C2semidirect
19. #60950C2semidirect
20. #60923C2semidirect
21. C2×#3248C2semidirect
22. C2×#3246C2semidirect
23. #60265C2semidirect
32. #3556C22semidirect
37. #3550C22semidirect
40. #3538C22semidirect
45. #3523C22semidirect
46. #3523C22semidirect
47. #3509C22semidirect
48. #3509C22semidirect
49. #3509C22semidirect
52. #3503C22semidirect
53. #3503C22semidirect
67. C2×#533C22semidirect
68. C2×#533C22semidirect
71. #3400C22semidirect
72. #3400C22semidirect
73. #3392C22semidirect
74. #3388C22semidirect
75. #3386C22semidirect
76. #3383C22semidirect
77. #3374C22semidirect
78. #3372C22semidirect
79. #3371C22semidirect
80. #3368C22semidirect
81. #3365C22semidirect
82. #3359C22semidirect
83. #3353C22semidirect
84. #3350C22semidirect
85. #3344C22semidirect
86. #3343C22semidirect
87. #3342C22semidirect
88. #3337C22semidirect
89. #3337C22semidirect
90. #3328C22semidirect
91. #3324C22semidirect
92. #3320C22semidirect
93. #3320C22semidirect
94. #3320C22semidirect
95. #3311C22semidirect
96. #3310C22semidirect
97. #3310C22semidirect
98. #3304C22semidirect
99. #3300C22semidirect
100. #3299C22semidirect
101. #3298C22semidirect
102. #3298C22semidirect
103. #3296C22semidirect
104. D4×SD16C22semidirect
105. D4×SD16C22semidirect
106. D4×SD16C22semidirect
107. #3278C22semidirect
108. #3270C22semidirect
109. #3266C22semidirect
110. #3266C22semidirect
111. #3260C22semidirect
112. #3260C22semidirect
113. #3258C22semidirect
114. #3258C22semidirect
115. #3254C22semidirect
116. #3254C22semidirect
117. #3254C22semidirect
118. #3252C22semidirect
119. #3252C22semidirect
120. #3252C22semidirect
121. #3248C22semidirect
122. #3248C22semidirect
123. #3248C22semidirect
124. #3248C22semidirect
125. #3248C22semidirect
126. #3246C22semidirect
127. #3246C22semidirect
128. #3246C22semidirect
129. #3246C22semidirect
130. #3246C22semidirect
131. #3246C22semidirect
132. #3242C22semidirect
133. #3238C22semidirect
134. #3236C22semidirect
135. #3235C22semidirect
136. #3233C22semidirect
137. #3230C22semidirect
138. #3226C22semidirect
139. #3222C22semidirect
140. #3218C22semidirect
141. #3218C22semidirect
142. #3215C22semidirect
143. #3208C22semidirect
144. #3206C22semidirect
145. #3206C22semidirect
146. #3201C22semidirect
147. #3200C22semidirect
148. #3195C22semidirect
150. #3193C22semidirect
151. #3182C22semidirect
152. #3178C22semidirect
153. #3174C22semidirect
154. #3172C22semidirect
155. #3126C22semidirect
156. #3121C22semidirect
157. #3116C22semidirect
158. #3112C22semidirect
159. #3110C22semidirect
160. #3110C22semidirect
161. #3108C22semidirect
162. #3107C22semidirect
163. #3104C22semidirect
164. #3101C22semidirect
165. #3101C22semidirect
166. #3082C22semidirect
167. #3077C22semidirect
168. #3076C22semidirect
169. C2×#479C22semidirect
170. C2×#475C22semidirect
171. C2×#475C22semidirect
172. C2×#476C22semidirect
173. C2×#474C22semidirect
174. #3063C22semidirect
175. #3057C22semidirect
176. C2×#467C22semidirect
178. C2×#465C22semidirect
179. #3043C22semidirect
180. #3039C22semidirect
181. C2×#464C22semidirect
182. C2×#462C22semidirect
183. C2×#460C22semidirect
184. C2×#461C22semidirect
185. C2×#461C22semidirect
186. C2×#461C22semidirect
187. #2994C22semidirect
188. #2992C22semidirect
189. #2990C22semidirect
190. #2989C22semidirect
191. #2988C22semidirect
192. #2962C22semidirect
193. #2935C22semidirect
194. #2929C22semidirect
195. #2925C22semidirect
196. #2920C22semidirect
197. #2906C22semidirect
198. C22×C4⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#628372
#627482
#624022
#623452
#622812
#622682
#622032
#621672
#621262
#621092
#621012
#620552
#620192
#619802
#619642
#619482
#609912
#609692
#609502
#609232
C2×#32482
C2×#32462
#602652