Finite Group Databasebeta

← #10575901

Subgroups — #10575901

Order 512.

6326 conjugacy classes of subgroups.

The subgroup lattice has 2053 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62805C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#60991C214yesmaximal, complemented
4#60989C214yesmaximal, complemented
5#60979C214yesmaximal, complemented
6#60977C214yesmaximal, complemented
7#60956C218yesmaximal, complemented
8#60951C212yesmaximal, complemented
9#60950C212yesmaximal, complemented
10#60942C212yesmaximal, complemented
11#60941C212yesmaximal, complemented
12#60929C212yesmaximal, complemented
13#60923C212yesmaximal, complemented
14#60892C212yesmaximal, complemented
15#60872C212yesmaximal, complemented
16#60836C212yesmaximal, complemented
17#60812C212yesmaximal, complemented
18#60763C212yesmaximal, complemented
19#60757C212yesmaximal, complemented
20#60694C214yesmaximal, complemented
21#60572C214yesmaximal, complemented
22#60562C211yesmaximal, characteristic, complemented
23#60558C211yesmaximal, characteristic, complemented
24#60536C211yesmaximal, characteristic, complemented
25C2×#3101C211yesmaximal, characteristic, complemented
26#60127C211yesmaximal, characteristic, complemented
27#3523—21no—
28#3520—22no—
29#3520—21no—
30#3518—21no—
31#3515—22no—
32#3515—21no—
33#3511C2211yescharacteristic, complemented
34#3511C2212yescomplemented
35#3509C2211yescharacteristic, complemented
36#3509C2212yescomplemented
37#3503C2211yescharacteristic, complemented
38#3499C2211yescharacteristic, complemented
39#3495C2212yes—
40#3495C2214yescomplemented
41#3489C2212yes—
42#3482—21no—
43#3482—22no—
44#3482—21no—
45Q8×#41—21no—
46#3475—22no—
47#3475—21no—
48#3461C2212yescomplemented
49#3461C2214yescomplemented
50#3460—22no—
51#3460—21no—
52#3460—21no—
53#3460—22no—
54#3460—21no—
55#3460—21no—
56#3460C2212yes—
57#3460C2212yes—
58#3460C2214yes—
59#3460C2214yes—
60#3460C2212yes—
61#3460C2212yes—
62C2×#544C2211yescharacteristic
63C2×#542—21no—
64C2×#542C2212yes—
65C2×#540—21no—
66C2×#540C2212yes—
67C2×#538—22no—
68C2×#537C2211yescharacteristic
69C2×#535C2211yescharacteristic
70C2×#535C2211yescharacteristic
71#3444C2211yescharacteristic
72#3444C2212yescomplemented
73C2×#533C2211yescharacteristic
74C2×#533C2212yescomplemented
75C2×#532—21no—
76C2×#532C2212yes—
77C2×#529—21no—
78C2×#529C2212yes—
79C2×#525—22no—
80C4×2−1+4C2212yescomplemented
81C2×C4×#41C2211yescharacteristic
82C2×C4×#41C2211yescharacteristic
83C22×C4×D4C2211yescharacteristic
84#3263C2218yescomplemented
85#3260C2218yescomplemented
86#3258C2218yescomplemented
87#3257C2218yescomplemented
88#3254C2214yescomplemented
89#3253C2214yescomplemented
90#3252C2214yescomplemented
91#3252C2214yescomplemented
92#3248C2214yescomplemented
93#3247C2214yescomplemented
94#3246C2214yescomplemented
95#3246C2214yescomplemented
96#3244C2218yescomplemented
97#3244C2218yescomplemented
98#3242C2218yescomplemented
99#3241C2218yescomplemented
100#3238C2214yescomplemented
101#3238C2214yescomplemented
102#3236C2214yescomplemented
103#3235C2214yescomplemented
104#3233C2214yescomplemented
105#3232C2214yescomplemented
106#3229C2214yescomplemented
107#3227C2214yescomplemented
108#3225C2218yescomplemented
109#3224C2218yescomplemented
110#3222C2218yescomplemented
111#3221C2218yescomplemented
112#3218C2214yescomplemented
113#3217C2214yes—
114#3215C2214yes—
115#3214C2214yescomplemented
116#3212C2214yescomplemented
117#3211C2214yes—
118#3208C2214yes—
119#3206C2214yescomplemented
120#3204C2218yescomplemented
121#3201C2218yescomplemented
122#3200C2218yescomplemented
123#3198C2218yescomplemented
124#3195C2214yescomplemented
125#3194C2214yes—
126#3194C2214yescomplemented
127#3193C2214yes—
128#3190C2214yescomplemented
129#3188C2214yes—
130#3187C2214yes—
131#3187C2214yescomplemented
132#3179C2218yescomplemented
133#3178C2218yescomplemented
134#3174C2218yescomplemented
135#3173C2218yescomplemented
136#3172C2218yescomplemented
137#3171C2218yescomplemented
138#3168C2218yescomplemented
139#3167C2218yescomplemented
140#3163C2214yescomplemented
141#3154C2214yescomplemented
142#3137C2214yescomplemented
143#3136C2214yescomplemented
144#3126C2218yescomplemented
145#3125C2218yescomplemented
146#3121C2218yescomplemented
147#3119C2218yescomplemented
148#3116C2214yescomplemented
149#3114C2214yes—
150#3113C2212yescomplemented
151#3110C2212yescomplemented
152#3110C2212yescomplemented
153#3109C2212yescomplemented
154#3108C2212yescomplemented
155#3108C2218yescomplemented
156#3107C2214yescomplemented
157#3107C2212yescomplemented
158#3106C2212yescomplemented
159#3106C2218yescomplemented
160#3105C2214yescomplemented
161#3105C2212yescomplemented
162#3104C2212yescomplemented
163#3104C2211yescharacteristic, complemented
164#3103C2211yescharacteristic, complemented
165#3103C2218yescomplemented
166#3102C2214yescomplemented
167#3102C2218yescomplemented
168#3101C2212yes—
169#3101C2212yes—
170#3101C2212yes—
171#3101C2214yes—
172#3101C2214yescomplemented
173#3101C2214yescomplemented
174#3101C2211yescharacteristic, complemented
175#3101C2212yescomplemented
176#3100C2212yes—
177#3100C2211yescharacteristic, complemented
178#3099C2214yescomplemented
179#3096C2214yescomplemented
180#3095C2212yes—
181#3092C2212yes—
182#3091C2212yes—
183C2×#483C2212yes—
184#3084C2214yescomplemented
185#3082C2214yescomplemented
186#3079C2212yescomplemented
187#3077C2212yescomplemented
188#3076C2212yescomplemented
189C2×#476C2212yescomplemented
190#3063C2214yescomplemented
191#3062C2214yescomplemented
192#3060C2214yescomplemented
193#3057C2214yescomplemented
194#3045C2214yescomplemented
195#3043C2214yescomplemented
196#3039C2212yescomplemented
197#3036C2212yescomplemented
198#3035C2212yescomplemented
199C2×#461C2212yescomplemented
200#3013C2214yescomplemented
201#3010C2214yescomplemented
202#3007C2212yes—
203#3003C2212yes—
204#3002C2212yes—
205C2×#450C2212yes—
206C4×#137C2214yescomplemented
207C4×AGL(1,ℤ/8)C2214yescomplemented
208C4×#135C2214yescomplemented
209C2×C4×SD16C2214yescomplemented
210#2925C2212yescomplemented
211#2925C2214yescomplemented
212#2924C2212yes—
213#2924C2214yescomplemented
214#2922C2212yescomplemented
215#2922C2214yescomplemented
216#2920C2211yescharacteristic
217#2920C2212yescomplemented
218C2×#431C2211yescharacteristic
219C2×#431C2212yescomplemented
220#2906C2212yescomplemented
221#2880C2212yes—
222C4×#131C2212yescomplemented
223C2×2−1+4C2312yes—
224C22×#41—22no—
225C22×#41C2311yescharacteristic
226C22×#41C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C24×C4—21no—
229C2×#137C2314yes—
230C2×AGL(1,ℤ/8)C2314yes—
231C2×#135C2314yes—
232C22×SD16C2314yes—
233C2×#131C2314yes—
234Q82—21no—
235#557—21no—
236#557—22no—
237#557—21no—
238#557—21no—
239#557—22no—
240#556—21no—
241#556—22no—
242#556—22no—
243#556—21no—
244#556—22no—
245#556—21no—
246#556—22no—
247#556—24no—
248#555—22no—
249#555—21no—
250#554—21no—
251#554—22no—
252#554—22no—
253#554—21no—
254#554—22no—
255#554—24no—
256#553—22no—
257#553—22no—
258#553—22no—
259#552—22no—
260#552—22no—
261#552—22no—
262#552—22no—
263#552—22no—
264#552—22no—
265#552—24no—
266#552—22no—
267#552—24no—
268#552—24no—
269#552—24no—
270#552—22no—
271#552—24no—
272#551—24no—
273#551—24no—
274#551—24no—
275D4×Q8—22no—
276D4×Q8—21no—
277D4×Q8—21no—
278D4×Q8—22no—
279D4×Q8—21no—
280#548—22no—
281#548—22no—
282#548—22no—
283#548—22no—
284#547—24no—
285#547—22no—
286#547—22no—
287#547—21no—
288#547—22no—
289#547—21no—
290#547—21no—
291#547—22no—
292#546—24no—
293#546—22no—
294#544—22no—
295#544—21no—
296#544—21no—
297#544C2312yes—
298#544C2312yes—
299#544C2312yes—
300#544C2314yes—
301#544C2314yescomplemented
302#542—22no—
303#542—22no—
304#542—24no—
305#542—22no—
306#542—22no—
307#542—24no—
308#542—22no—
309#542—24no—
310#542—22no—
311#542—22no—
312#542—22no—
313#542—22no—
314#542C2314yes—
315#542C2314yes—
316#542C2314yes—
317#542C2314yes—
318#542C2314yes—
319#542C2314yescomplemented
320#542C2314yescomplemented
321#541—22no—
322#541—24no—
323#541C2314yes—
324#541C2314yescomplemented
325#541C2314yescomplemented
326#540—22no—
327#540—24no—
328#540—22no—
329#540—22no—
330#540—22no—
331#540—24no—
332#540—22no—
333#540—22no—
334#540—22no—
335#540—22no—
336#540C2314yes—
337#540C2314yes—
338#540C2314yes—
339#540C2314yes—
340#539—24no—
341#539—24no—
342#539—24no—
343#538—24no—
344#538—24no—
345#538—24no—
346#538—24no—
347#538—24no—
348#538—24no—
349#538—24no—
350#538—24no—
351#537—22no—
352#537—21no—
353#537—21no—
354#537C2312yes—
355#537C2314yes—
356#537C2312yes—
357#537C2314yes—
358#537C2312yes—
359#536C2312yes—
360#536C2314yes—
361#536C2312yes—
362#536C2314yescomplemented
363#535—22no—
364#535—21no—
365#535—21no—
366#535—21no—
367#535—22no—
368#535—21no—
369#535C2312yes—
370#535C2314yes—
371#535C2312yes—
372#535C2312yes—
373#535C2314yes—
374#535C2312yes—
375#533—22no—
376#533—24no—
377#533—21no—
378#533—21no—
379#533—21no—
380#533—21no—
381#533—22no—
382#533—22no—
383#533—22no—
384#533—22no—
385#533C2312yes—
386#533C2311yescharacteristic
387#533C2312yes—
388#533C2312yes—
389#533C2312yes—
390#533C2311yescharacteristic
391#533C2314yes—
392#533C2311yescharacteristic
393#533C2314yescomplemented
394#533C2312yescomplemented
395#533C2312yescomplemented
396#533C2312yescomplemented
397#533C2312yescomplemented
398#532—22no—
399#532—22no—
400#532—24no—
401#532—22no—
402#532—24no—
403#532—22no—
404#532—22no—
405#532—22no—
406#532—22no—
407#532—22no—
408#532C2311yescharacteristic
409#532C2311yescharacteristic
410#532C2314yes—
411#532C2311yescharacteristic
412#532C2314yes—
413#532C2314yes—
414#532C2314yes—
415#532C2312yescomplemented
416#532C2312yescomplemented
417C2×C4⋊Q8—21no—
418C2×C4⋊Q8C2311yescharacteristic
419C2×C4⋊Q8C2311yescharacteristic
420C2×C4⋊Q8C2312yes—
421C2×C4⋊Q8C2312yescomplemented
422C2×C4⋊Q8C2312yescomplemented
423C2×#127—21no—
424C2×#127C2312yes—
425#529—22no—
426#529—22no—
427#529—24no—
428#529—22no—
429#529—22no—
430#529—24no—
431#529—24no—
432#529—24no—
433#529—24no—
434#529—22no—
435#529—24no—
436#529—22no—
437#529—22no—
438#529—22no—
439#529—22no—
440#529—21no—
441#529—21no—
442#529—21no—
443#529—21no—
444#529—22no—
445#529—22no—
446#529—22no—
447#529—22no—
448#529C2312yes—
449#529C2314yes—
450#529C2312yes—
451#529C2314yes—
452#529C2314yes—
453#529C2314yes—
454#529C2314yes—
455#529C2314yescomplemented
456C2×#126—22no—
457C2×#126—22no—
458C2×#125—21no—
459C2×#125—21no—
460C2×#125—22no—
461C2×#125C2312yes—
462C2×#124—21no—
463C2×#124—22no—
464C2×#124—22no—
465C2×#124C2312yes—
466#525—21no—
467#525—21no—
468#525—22no—
469#525—22no—
470#525—24no—
471#525—24no—
472#525—24no—
473#525—24no—
474#525—24no—
475#525—24no—
476#525—24no—
477#525—24no—
478#525C2312yes—
479#525C2314yes—
480C2×#123—22no—
481C2×#123—22no—
482C2×#123—22no—
483C2×#123—22no—
484C2×C22⋊Q8—21no—
485C2×C22⋊Q8—21no—
486C2×C22⋊Q8—22no—
487C2×C22⋊Q8—22no—
488C2×C22⋊Q8—22no—
489C2×C22⋊Q8C2312yes—
490C2×C22⋊Q8C2312yes—
491C2×C22⋊Q8C2314yes—
492C2×#121—22no—
493C2×#121—21no—
494C2×#121—22no—
495C2×#121—21no—
496C2×#121—21no—
497C2×#121—22no—
498C2×#121—22no—
499C2×#121C2312yes—
500C2×#121C2312yes—
501C2×#121C2312yes—
502C2×#120—22no—
503C2×#120—22no—
504#520—24no—
505#520—22no—
506#520C2312yes—
507#520C2312yes—
508#520C2314yescomplemented
509#519—22no—
510#519C2312yes—
511#519C2314yescomplemented
512C4×#41—24no—
513C4×#41—22no—
514C4×#41—21no—
515C4×#41—21no—
516C4×#41—21no—
517C4×#41—21no—
518C4×#41—21no—
519C4×#41—21no—
520C4×#41—22no—
521C4×#41—22no—
522C4×#41D412yes—
523C4×#41D411yescharacteristic
524C4×#41D411yescharacteristic
525C4×#41D412yes—
526C4×#41D411yescharacteristic
527C4×#41D411yescharacteristic
528C4×#41C2312yes—
529C4×#41C2312yes—
530C4×#41C2312yes—
531C4×#41C2312yes—
532C4×#41C2312yes—
533C4×#41C2311yescharacteristic
534C4×#41C2311yescharacteristic
535C4×#41C2311yescharacteristic
536C4×#41C2312yes—
537C4×#41C2311yescharacteristic
538C4×#41C2312yes—
539C4×#41C2314yescomplemented
540C2×C4×Q8—22no—
541C2×C4×Q8—21no—
542C2×C4×Q8—22no—
543C2×C4×Q8D411yescharacteristic
544C2×C4×Q8D411yescharacteristic
545C2×C4×Q8C2311yescharacteristic
546C2×C4×Q8C2311yescharacteristic
547C2×C4×Q8C2312yes—
548C2×C4×Q8C2314yescomplemented
549C2×C4×D4—21no—
550C2×C4×D4—21no—
551C2×C4×D4—22no—
552C2×C4×D4—21no—
553C2×C4×D4—21no—
554C2×C4×D4—21no—
555C2×C4×D4—21no—
556C2×C4×D4—21no—
557C2×C4×D4—21no—
558C2×C4×D4—22no—
559C2×C4×D4D412yes—
560C2×C4×D4D411yescharacteristic
561C2×C4×D4D412yes—
562C2×C4×D4D411yescharacteristic
563C2×C4×D4C2312yes—
564C2×C4×D4C2312yes—
565C2×C4×D4C2311yescharacteristic
566C2×C4×D4C2312yes—
567C2×C4×D4C2312yes—
568C2×C4×D4C2312yes—
569C2×C4×D4C2311yescharacteristic
570C2×C4×D4C2312yes—
571C2×#117—21no—
572C2×#117—22no—
573C2×#117—21no—
574C2×#117—22no—
575C2×#117C2311yescharacteristic
576C2×#117C2311yescharacteristic
577C2×#117C2312yes—
578C22×C4⋊C4C2311yescharacteristic
579C22×C22⋊C4—21no—
580C22×C42—21no—
581C22×C42C2311yescharacteristic
582C22×C42C2312yes—
583#501C2318yescomplemented
584#501C2318yescomplemented
585#499C2318yescomplemented
586#498C2318yescomplemented
587#497C2318yes—
588#496C2318yes—
589#495C2318yes—
590#492C2318yes—
591#491C2318yescomplemented
592#490C2318yes—
593#489C2318yes—
594#489C2318yescomplemented
595#488C2318yes—
596#488C2318yescomplemented
597#487C2318yescomplemented
598#486C2318yes—
599#485C2314yes—
600#485C2318yes—
601#485C2318yescomplemented
602#484C2312yes—
603#484C2314yes—
604#484C2314yes—
605#483C2314yes—
606#483C2314yes—
607#483C2318yes—
608#483C2312yes—
609#483C2314yes—
610#483C2314yes—
611#483C2318yescomplemented
612#482C2314yes—
613#482C2318yes—
614#482C2318yes—
615#482C2318yescomplemented
616#481C2312yes—
617#481C2314yes—
618#481C2318yes—
619#481C2318yescomplemented
620#480C2312yes—
621#480C2314yes—
622#480C2318yes—
623#479C2314yescomplemented
624#479C2318yescomplemented
625#479C2318yescomplemented
626#479C2318yescomplemented
627#478C2318yes—
628#478C2314yescomplemented
629#478C2318yescomplemented
630#477C2312yescomplemented
631#477C2314yescomplemented
632#477C2318yescomplemented
633#476C2314yes—
634#476C2314yes—
635#476C2314yes—
636#476C2318yes—
637#476C2312yescomplemented
638#476C2314yescomplemented
639#476C2318yescomplemented
640#475C2312yescomplemented
641#475C2314yescomplemented
642#475C2318yescomplemented
643#475C2318yescomplemented
644#474C2314yes—
645#474C2312yescomplemented
646#474C2314yescomplemented
647#470C2318yescomplemented
648#470C2318yescomplemented
649#469C2318yes—
650#469C2318yescomplemented
651#468C2318yes—
652#468C2318yes—
653#468C2318yes—
654#468C2318yescomplemented
655#467C2318yescomplemented
656#466C2318yes—
657#465C2318yes—
658#465C2318yes—
659#465C2318yes—
660#465C2318yescomplemented
661#465C2318yescomplemented
662#465C2318yescomplemented
663#464C2318yes—
664#464C2318yes—
665#464C2318yes—
666#464C2314yescomplemented
667#463C2318yes—
668#463C2318yes—
669#463C2314yescomplemented
670#462C2312yescomplemented
671#462C2314yescomplemented
672#462C2314yescomplemented
673#461C2314yes—
674#461C2314yes—
675#461C2318yes—
676#461C2314yes—
677#461C2312yescomplemented
678#461C2314yescomplemented
679#461C2314yescomplemented
680#460C2318yes—
681#460C2318yes—
682#460C2318yes—
683#460C2312yescomplemented
684#459C2314yes—
685#459C2318yes—
686#459C2312yescomplemented
687#452C2314yes—
688#452C2318yes—
689#452C2318yescomplemented
690#451C2312yes—
691#451C2314yes—
692#451C2318yescomplemented
693#450C2314yes—
694#450C2314yes—
695#450C2314yes—
696#450C2318yes—
697#450C2312yes—
698#450C2314yes—
699#450C2314yes—
700#449C2314yes—
701#449C2318yes—
702#449C2318yes—
703#449C2318yescomplemented
704#448C2312yes—
705#448C2318yes—
706#448C2318yes—
707#448C2318yescomplemented
708#447C2314yes—
709#447C2312yes—
710#447C2314yes—
711#442C2318yes—
712#441C2318yescomplemented
713#440C2318yes—
714#440C2318yescomplemented
715C4×Q16C2318yescomplemented
716C4×Q16C2314yescomplemented
717C4×Q16C2314yescomplemented
718C4×SD16C2318yes—
719C4×SD16C2318yes—
720C4×SD16C2318yes—
721C4×SD16C2318yes—
722C4×SD16C2318yes—
723C4×SD16C2314yescomplemented
724C4×SD16C2318yescomplemented
725C4×SD16C2314yescomplemented
726C4×SD16C2314yescomplemented
727C4×SD16C2314yescomplemented
728C4×D8C2318yes—
729C4×D8C2314yescomplemented
730C4×D8C2314yescomplemented
731#433C2318yes—
732#433C2318yescomplemented
733#433C2318yescomplemented
734#432C2312yes—
735#432C2312yes—
736#432C2314yes—
737#432C2314yescomplemented
738#431C2312yes—
739#431C2311yescharacteristic
740#431C2311yescharacteristic
741#431C2312yes—
742#431C2312yes—
743#431C2312yes—
744#431C2312yes—
745#431C2314yes—
746#431C2314yescomplemented
747#431C2314yescomplemented
748#431C2314yescomplemented
749#428C2314yes—
750#428C2314yes—
751#427C2314yes—
752C2×#106C2314yes—
753#424C2314yes—
754#424C2318yescomplemented
755#423C2312yes—
756#423C2314yescomplemented
757C2×C4⋊C8C2312yes—
758C2×C4⋊C8C2314yescomplemented
759#419C2314yes—
760#418C2314yes—
761#417C2314yes—
762#417C2314yes—
763#416C2314yes—
764#416C2314yes—
765C2×#103C2314yes—
766C2×#102C2314yes—
767#408C2314yes—
768#408C2318yes—
769#407C2312yes—
770#407C2314yes—
771C2×C22⋊C8C2312yes—
772C2×C22⋊C8C2314yes—
773#405C2314yes—
774#405C2318yescomplemented
775C4×M16C2312yes—
776C4×M16C2314yescomplemented
777C2×C4×C8C2312yes—
778C2×C4×C8C2314yescomplemented
779C25—21no—
7802−1+4—48no—
781C2×#41—24no—
782C2×#41—22no—
783C2×#41—21no—
784C2×#41—21no—
785C2×#41—21no—
786C2×#41—21no—
787C2×#41—22no—
788C2×#41—24no—
789C2×#41—24no—
790C2×#41—24no—
791C2×#41—24no—
792C2×#41—44no—
793C2×#41—44no—
794C2×#41—88no—
795C2×#41C2×D412yes—
796C2×#41C2×D411yescharacteristic
797C2×#41C2×D411yescharacteristic
798C2×#41C2412yes—
799C2×#41C2412yes—
800C2×#41C2412yes—
801C2×#41C2414yes—
802C2×#41C2411yescharacteristic
803C2×#41C2411yescharacteristic
804C2×#41C2412yes—
805C22×Q8—22no—
806C22×Q8—21no—
807C22×Q8—22no—
808C22×Q8—22no—
809C22×Q8C2×D411yescharacteristic
810C22×Q8C2412yes—
811C22×Q8C2411yescharacteristic
812C22×Q8C2414yes—
813C22×D4—21no—
814C22×D4—22no—
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—21no—
818C22×D4—21no—
819C22×D4—21no—
820C22×D4—22no—
821C22×D4—22no—
822C22×D4—44no—
823C22×D4C2×D412yes—
824C22×D4C2×D411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C23×C4—21no—
830C23×C4—22no—
831C23×C4—21no—
832C23×C4—21no—
833C23×C4—21no—
834C23×C4—22no—
835C23×C4—22no—
836C23×C4—22no—
837C23×C4—22no—
838C23×C4—22no—
839C23×C4—84no—
840C23×C4C2×D411yescharacteristic
841C23×C4C2×D412yes—
842C23×C4C2×D411yescharacteristic
843C23×C4C2×D412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846#137—48no—
847AGL(1,ℤ/8)—48no—
848#135—48no—
849C2×Q16C2414yes—
850C2×Q16C2418yes—
851C2×SD16—48no—
852C2×SD16C2418yes—
853C2×SD16C2418yes—
854C2×SD16C2414yes—
855C2×SD16C2414yes—
856C2×SD16C2418yes—
857C2×SD16C2418yes—
858C2×D8C2414yes—
859C2×D8C2418yes—
860#131—48no—
861C2×M16C2414yes—
862C2×M16C2418yes—
863C22×C8C2414yes—
864C22×C8C2418yes—
865C4⋊Q8—22no—
866C4⋊Q8—24no—
867C4⋊Q8—22no—
868C4⋊Q8—22no—
869C4⋊Q8—24no—
870C4⋊Q8—22no—
871C4⋊Q8—24no—
872C4⋊Q8—22no—
873C4⋊Q8—22no—
874C4⋊Q8—21no—
875C4⋊Q8—21no—
876C4⋊Q8—21no—
877C4⋊Q8—21no—
878C4⋊Q8—22no—
879C4⋊Q8—22no—
880C4⋊Q8—22no—
881C4⋊Q8—22no—
882C4⋊Q8C2412yes—
883C4⋊Q8C2412yes—
884C4⋊Q8C2411yescharacteristic
885C4⋊Q8C2414yes—
886C4⋊Q8C2412yes—
887C4⋊Q8C2414yes—
888C4⋊Q8C2414yes—
889C4⋊Q8C2412yes—
890C4⋊Q8C2411yescharacteristic
891C4⋊Q8C2414yes—
892C4⋊Q8C2411yescharacteristic
893#127—22no—
894#127—22no—
895#127—24no—
896#127—22no—
897#127—22no—
898#127C2414yes—
899#127C2414yes—
900#127C2411yescharacteristic
901#126—24no—
902#126—24no—
903#126—24no—
904#126—24no—
905#126—24no—
906#126—24no—
907#126—24no—
908#126—24no—
909#126—24no—
910#126—24no—
911#126—24no—
912#126—24no—
913#126—24no—
914#126—24no—
915#126—24no—
916#126—24no—
917#126—24no—
918#126—22no—
919#126—22no—
920#126—24no—
921#126—24no—
922#125—22no—
923#125—24no—
924#125—22no—
925#125—24no—
926#125—24no—
927#125—24no—
928#125—22no—
929#125—24no—
930#125—24no—
931#125—24no—
932#125—24no—
933#125—22no—
934#125—21no—
935#125—22no—
936#125—22no—
937#125—24no—
938#125—22no—
939#125—24no—
940#125—22no—
941#125—22no—
942#125—22no—
943#125—22no—
944#125—21no—
945#125—22no—
946#125C2414yes—
947#125C2414yes—
948#125C2412yes—
949#125C2414yes—
950#124—22no—
951#124—22no—
952#124—24no—
953#124—22no—
954#124—24no—
955#124—24no—
956#124—24no—
957#124—24no—
958#124—24no—
959#124—24no—
960#124—24no—
961#124—24no—
962#124—24no—
963#124—24no—
964#124—24no—
965#124—24no—
966#124—22no—
967#124—22no—
968#124—21no—
969#124—21no—
970#124—22no—
971#124C2414yes—
972#124C2414yes—
973#124C2412yes—
974#124C2414yes—
975#123—24no—
976#123—24no—
977#123—24no—
978#123—24no—
979#123—24no—
980#123—24no—
981#123—24no—
982#123—22no—
983#123—22no—
984#123—24no—
985#123—24no—
986#123—22no—
987#123—24no—
988#123—24no—
989#123—24no—
990#123—24no—
991#123—24no—
992#123—24no—
993#123—24no—
994#123—24no—
995#123—24no—
996#123—24no—
997#123—24no—
998#123—24no—
999#123—24no—
1000#123—24no—
1001#123—24no—
1002#123—24no—
1003#123—24no—
1004#123—24no—
1005#123—24no—
1006C22⋊Q8—22no—
1007C22⋊Q8—22no—
1008C22⋊Q8—24no—
1009C22⋊Q8—22no—
1010C22⋊Q8—24no—
1011C22⋊Q8—22no—
1012C22⋊Q8—21no—
1013C22⋊Q8—22no—
1014C22⋊Q8—22no—
1015C22⋊Q8—22no—
1016C22⋊Q8—24no—
1017C22⋊Q8—24no—
1018C22⋊Q8—22no—
1019C22⋊Q8—22no—
1020C22⋊Q8—22no—
1021C22⋊Q8—22no—
1022C22⋊Q8—22no—
1023C22⋊Q8—24no—
1024C22⋊Q8—22no—
1025C22⋊Q8—24no—
1026C22⋊Q8—21no—
1027C22⋊Q8—21no—
1028C22⋊Q8—21no—
1029C22⋊Q8—22no—
1030C22⋊Q8—22no—
1031C22⋊Q8—22no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034C22⋊Q8—24no—
1035C22⋊Q8—24no—
1036C22⋊Q8—22no—
1037C22⋊Q8—24no—
1038C22⋊Q8—22no—
1039C22⋊Q8—24no—
1040C22⋊Q8—24no—
1041C22⋊Q8—24no—
1042C22⋊Q8—24no—
1043C22⋊Q8—24no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047C22⋊Q8—24no—
1048C22⋊Q8—24no—
1049C22⋊Q8—24no—
1050C22⋊Q8C2414yes—
1051C22⋊Q8C2412yes—
1052C22⋊Q8C2414yes—
1053C22⋊Q8C2414yes—
1054C22⋊Q8C2414yes—
1055C22⋊Q8C2414yes—
1056C22⋊Q8C2414yes—
1057C22⋊Q8C2412yes—
1058C22⋊Q8C2414yes—
1059#121—24no—
1060#121—24no—
1061#121—24no—
1062#121—24no—
1063#121—22no—
1064#121—22no—
1065#121—24no—
1066#121—24no—
1067#121—24no—
1068#121—24no—
1069#121—22no—
1070#121—24no—
1071#121—24no—
1072#121—24no—
1073#121—24no—
1074#121—24no—
1075#121—22no—
1076#121—22no—
1077#121—22no—
1078#121—22no—
1079#121—22no—
1080#121—22no—
1081#121—21no—
1082#121—21no—
1083#121—21no—
1084#121—21no—
1085#121—22no—
1086#121—22no—
1087#121—22no—
1088#121—22no—
1089#121—24no—
1090#121—22no—
1091#121—22no—
1092#121—22no—
1093#121—24no—
1094#121—24no—
1095#121—24no—
1096#121—24no—
1097#121—24no—
1098#121—24no—
1099#121—24no—
1100#121—24no—
1101#121—24no—
1102#121C2414yes—
1103#121C2414yes—
1104#121C2414yes—
1105#121C2414yes—
1106#121C2414yes—
1107#121C2414yes—
1108#121C2412yes—
1109#121C2412yes—
1110#121C2414yes—
1111#120—22no—
1112#120—24no—
1113#120—24no—
1114#120—24no—
1115#120—24no—
1116#120—24no—
1117#120—24no—
1118#120—24no—
1119#120—24no—
1120#120—24no—
1121C4×Q8—22no—
1122C4×Q8—22no—
1123C4×Q8—24no—
1124C4×Q8—22no—
1125C4×Q8—24no—
1126C4×Q8—22no—
1127C4×Q8—21no—
1128C4×Q8—22no—
1129C4×Q8—24no—
1130C4×Q8—22no—
1131C4×Q8—24no—
1132C4×Q8—22no—
1133C4×Q8—22no—
1134C4×Q8—24no—
1135C4×Q8—22no—
1136C4×Q8—22no—
1137C4×Q8—21no—
1138C4×Q8—21no—
1139C4×Q8—21no—
1140C4×Q8—21no—
1141C4×Q8—22no—
1142C4×Q8—24no—
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—22no—
1147C4×Q8—22no—
1148C4×Q8—22no—
1149C4×Q8C2×D411yescharacteristic
1150C4×Q8C2×D411yescharacteristic
1151C4×Q8C2×D411yescharacteristic
1152C4×Q8C2×D412yes—
1153C4×Q8C2×D411yescharacteristic
1154C4×Q8C2×D412yes—
1155C4×Q8C2×D411yescharacteristic
1156C4×Q8C2×D411yescharacteristic
1157C4×Q8C2×D412yes—
1158C4×Q8C2×D411yescharacteristic
1159C4×Q8C2×D411yescharacteristic
1160C4×Q8C2×D412yes—
1161C4×Q8C2414yes—
1162C4×Q8C2412yes—
1163C4×Q8C2412yes—
1164C4×Q8C2412yes—
1165C4×Q8C2412yes—
1166C4×Q8C2414yes—
1167C4×Q8C2412yes—
1168C4×Q8C2414yes—
1169C4×Q8C2414yes—
1170C4×Q8C2412yes—
1171C4×Q8C2414yes—
1172C4×D4—24no—
1173C4×D4—22no—
1174C4×D4—22no—
1175C4×D4—22no—
1176C4×D4—22no—
1177C4×D4—22no—
1178C4×D4—22no—
1179C4×D4—22no—
1180C4×D4—22no—
1181C4×D4—22no—
1182C4×D4—24no—
1183C4×D4—24no—
1184C4×D4—24no—
1185C4×D4—24no—
1186C4×D4—22no—
1187C4×D4—24no—
1188C4×D4—22no—
1189C4×D4—24no—
1190C4×D4—22no—
1191C4×D4—24no—
1192C4×D4—22no—
1193C4×D4—24no—
1194C4×D4—22no—
1195C4×D4—24no—
1196C4×D4—22no—
1197C4×D4—24no—
1198C4×D4—24no—
1199C4×D4—24no—
1200C4×D4—24no—
1201C4×D4—22no—
1202C4×D4—22no—
1203C4×D4—22no—
1204C4×D4—22no—
1205C4×D4—22no—
1206C4×D4—22no—
1207C4×D4—22no—
1208C4×D4—22no—
1209C4×D4—22no—
1210C4×D4—22no—
1211C4×D4—22no—
1212C4×D4—22no—
1213C4×D4—24no—
1214C4×D4—24no—
1215C4×D4—24no—
1216C4×D4—24no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—22no—
1226C4×D4—22no—
1227C4×D4—22no—
1228C4×D4C2×D412yes—
1229C4×D4C2×D411yescharacteristic
1230C4×D4C2×D412yes—
1231C4×D4C2×D411yescharacteristic
1232C4×D4C2×D412yes—
1233C4×D4C2×D412yes—
1234C4×D4C2×D412yes—
1235C4×D4C2×D412yes—
1236C4×D4C2×D412yes—
1237C4×D4C2×D412yes—
1238C4×D4C2×D412yes—
1239C4×D4C2×D411yescharacteristic
1240C4×D4C2×D412yes—
1241C4×D4C2×D411yescharacteristic
1242C4×D4C2×D412yes—
1243C4×D4C2×D411yescharacteristic
1244C4×D4C2×D412yes—
1245C4×D4C2×D412yes—
1246C4×D4C2×D412yes—
1247C4×D4C2×D412yes—
1248C4×D4C2×D412yes—
1249C4×D4C2×D412yes—
1250C4×D4C2×D412yes—
1251C4×D4C2×D412yes—
1252C4×D4C2×D411yescharacteristic
1253C4×D4C2×D411yescharacteristic
1254C4×D4C2×D411yescharacteristic
1255C4×D4C2×D412yes—
1256C4×D4C2414yes—
1257C4×D4C2414yes—
1258C4×D4C2414yes—
1259C4×D4C2414yes—
1260C4×D4C2412yes—
1261C4×D4C2412yes—
1262C4×D4C2412yes—
1263C4×D4C2412yes—
1264C4×D4C2412yes—
1265C4×D4C2412yes—
1266C4×D4C2414yes—
1267#117—22no—
1268#117—21no—
1269#117—22no—
1270#117—24no—
1271#117—22no—
1272#117—24no—
1273#117—22no—
1274#117—22no—
1275#117—22no—
1276#117—21no—
1277#117—21no—
1278#117—21no—
1279#117—22no—
1280#117—22no—
1281#117—24no—
1282#117—24no—
1283#117—24no—
1284#117—24no—
1285#117—22no—
1286#117—22no—
1287#117—22no—
1288#117—22no—
1289#117—24no—
1290#117—24no—
1291#117—24no—
1292#117—24no—
1293#117—22no—
1294#117—24no—
1295#117—22no—
1296#117—24no—
1297#117—22no—
1298#117—24no—
1299#117C2×D411yescharacteristic
1300#117C2×D412yes—
1301#117C2×D411yescharacteristic
1302#117C2×D412yes—
1303#117C2×D412yes—
1304#117C2×D412yes—
1305#117C2×D412yes—
1306#117C2412yes—
1307#117C2412yes—
1308#117C2412yes—
1309#117C2414yes—
1310#117C2411yescharacteristic
1311#117C2412yes—
1312#117C2411yescharacteristic
1313#117C2412yes—
1314#117C2412yes—
1315#117C2412yes—
1316#117C2412yes—
1317C2×C4⋊C4—21no—
1318C2×C4⋊C4—21no—
1319C2×C4⋊C4—21no—
1320C2×C4⋊C4—21no—
1321C2×C4⋊C4—21no—
1322C2×C4⋊C4—22no—
1323C2×C4⋊C4—22no—
1324C2×C4⋊C4—21no—
1325C2×C4⋊C4—21no—
1326C2×C4⋊C4—22no—
1327C2×C4⋊C4—22no—
1328C2×C4⋊C4—22no—
1329C2×C4⋊C4—22no—
1330C2×C4⋊C4—21no—
1331C2×C4⋊C4—22no—
1332C2×C4⋊C4—22no—
1333C2×C4⋊C4—24no—
1334C2×C4⋊C4—22no—
1335C2×C4⋊C4—24no—
1336C2×C4⋊C4—22no—
1337C2×C4⋊C4—24no—
1338C2×C4⋊C4C2×D411yescharacteristic
1339C2×C4⋊C4C2×D411yescharacteristic
1340C2×C4⋊C4C2×D412yes—
1341C2×C4⋊C4C2×D412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2414yes—
1349C2×C22⋊C4—22no—
1350C2×C22⋊C4—24no—
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—22no—
1353C2×C22⋊C4—22no—
1354C2×C22⋊C4—22no—
1355C2×C22⋊C4—22no—
1356C2×C22⋊C4—22no—
1357C2×C22⋊C4—22no—
1358C2×C22⋊C4—22no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—22no—
1362C2×C22⋊C4—22no—
1363C2×C22⋊C4—22no—
1364C2×C22⋊C4—22no—
1365C2×C22⋊C4—22no—
1366C2×C22⋊C4C2×D412yes—
1367C2×C22⋊C4C2×D412yes—
1368C2×C22⋊C4C2×D412yes—
1369C2×C42—21no—
1370C2×C42—21no—
1371C2×C42—22no—
1372C2×C42—24no—
1373C2×C42—21no—
1374C2×C42—22no—
1375C2×C42—24no—
1376C2×C42—22no—
1377C2×C42—22no—
1378C2×C42—22no—
1379C2×C42—22no—
1380C2×C42C2×D412yes—
1381C2×C42C2×D411yescharacteristic
1382C2×C42C2×D411yescharacteristic
1383C2×C42C2×D411yescharacteristic
1384C2×C42C2×D411yescharacteristic
1385C2×C42C2×D411yescharacteristic
1386C2×C42C2×D411yescharacteristic
1387C2×C42C2×D412yes—
1388C2×C42C2×D412yes—
1389C2×C42C2×D412yes—
1390C2×C42C2×D412yes—
1391C2×C42C2×D412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2411yescharacteristic
1395C2×C42C2411yescharacteristic
1396C2×C42C2411yescharacteristic
1397C2×C42C2411yescharacteristic
1398C2×C42C2411yescharacteristic
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403#107C2414yes—
1404#107C2414yes—
1405#107C2418yes—
1406#107C2418yes—
1407#106C2418yes—
1408#106C2418yes—
1409#106C2414yes—
1410#106C2414yes—
1411#106C2418yes—
1412#106C2418yes—
1413C4⋊C8C2412yes—
1414C4⋊C8C2412yes—
1415C4⋊C8C2414yes—
1416C4⋊C8C2414yes—
1417C4⋊C8C2418yes—
1418C4⋊C8C2414yes—
1419C4⋊C8C2418yes—
1420#103C2418yes—
1421#103C2418yes—
1422#103C2414yes—
1423#103C2414yes—
1424#103C2414yes—
1425#103C2414yes—
1426#103C2418yes—
1427#103C2418yes—
1428#103C2418yes—
1429#103C2418yes—
1430#102C2418yes—
1431#102C2418yes—
1432#102C2414yes—
1433#102C2414yes—
1434#102C2414yes—
1435#102C2414yes—
1436#102C2418yes—
1437#102C2418yes—
1438#102C2418yes—
1439#102C2418yes—
1440C22⋊C8C2412yes—
1441C22⋊C8C2412yes—
1442C22⋊C8C2414yes—
1443C22⋊C8C2414yes—
1444C22⋊C8C2418yes—
1445C22⋊C8C2414yes—
1446C22⋊C8C2418yes—
1447#97C2414yes—
1448#97C2418yes—
1449C4×C8C2412yes—
1450C4×C8C2412yes—
1451C4×C8C2414yes—
1452C4×C8C2414yes—
1453C4×C8C2418yes—
1454C24—22no—
1455C24—21no—
1456C24—22no—
1457C24—22no—
1458C24—44no—
1459C24—82no—
1460C24—82no—
1461C24C22×D411yescharacteristic
1462C24C22×D412yes—
1463#41—24no—
1464#41—24no—
1465#41—24no—
1466#41—28no—
1467#41—24no—
1468#41—44no—
1469#41—44no—
1470#41—42no—
1471#41—42no—
1472#41—42no—
1473#41—42no—
1474#41—48no—
1475#41—44no—
1476#41—44no—
1477#41—416no—
1478#41—48no—
1479#41—44no—
1480#41—88no—
1481#41—88no—
1482#41—88no—
1483#41—88no—
1484#41—82no—
1485#41—84no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—24no—
1489C2×Q8—22no—
1490C2×Q8—22no—
1491C2×Q8—21no—
1492C2×Q8—22no—
1493C2×Q8—24no—
1494C2×Q8—24no—
1495C2×Q8—24no—
1496C2×Q8—28no—
1497C2×Q8—42no—
1498C2×Q8—42no—
1499C2×Q8—48no—
1500C2×Q8—48no—
1501C2×Q8—84no—
1502C2×Q8—82no—
1503C2×Q8—84no—
1504C2×Q8C22×D411yescharacteristic
1505C2×Q8C22×D411yescharacteristic
1506C2×Q8C22×D412yes—
1507C2×Q8C2512yes—
1508C2×Q8C2514yes—
1509C2×Q8C2512yes—
1510C2×D4—22no—
1511C2×D4—22no—
1512C2×D4—22no—
1513C2×D4—24no—
1514C2×D4—22no—
1515C2×D4—24no—
1516C2×D4—24no—
1517C2×D4—22no—
1518C2×D4—24no—
1519C2×D4—24no—
1520C2×D4—24no—
1521C2×D4—24no—
1522C2×D4—24no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—22no—
1526C2×D4—22no—
1527C2×D4—22no—
1528C2×D4—21no—
1529C2×D4—24no—
1530C2×D4—24no—
1531C2×D4—24no—
1532C2×D4—24no—
1533C2×D4—24no—
1534C2×D4—24no—
1535C2×D4—44no—
1536C2×D4—44no—
1537C2×D4—42no—
1538C2×D4—42no—
1539C2×D4—44no—
1540C2×D4—44no—
1541C2×D4—44no—
1542C2×D4—44no—
1543C2×D4—44no—
1544C2×D4—84no—
1545C2×D4—84no—
1546C2×D4—84no—
1547C2×D4—84no—
1548C2×D4—84no—
1549C2×D4C22×D412yes—
1550C2×D4C22×D411yescharacteristic
1551C2×D4C22×D412yes—
1552C2×D4C22×D411yescharacteristic
1553C2×D4C22×D412yes—
1554C2×D4C22×D412yes—
1555C2×D4C22×D412yes—
1556C2×D4C2512yes—
1557C2×D4C2514yes—
1558C2×D4C2512yes—
1559C22×C4—24no—
1560C22×C4—28no—
1561C22×C4—24no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—24no—
1566C22×C4—22no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—22no—
1570C22×C4—22no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—24no—
1576C22×C4—22no—
1577C22×C4—24no—
1578C22×C4—22no—
1579C22×C4—22no—
1580C22×C4—24no—
1581C22×C4—22no—
1582C22×C4—22no—
1583C22×C4—22no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—44no—
1588C22×C4—44no—
1589C22×C4—48no—
1590C22×C4—44no—
1591C22×C4—84no—
1592C22×C4—84no—
1593C22×C4—84no—
1594C22×C4—84no—
1595C22×C4—84no—
1596C22×C4—81no—
1597C22×C4—82no—
1598C22×C4—82no—
1599C22×C4—82no—
1600C22×C4C22×D411yescharacteristic
1601C22×C4C22×D411yescharacteristic
1602C22×C4C22×D411yescharacteristic
1603C22×C4C22×D411yescharacteristic
1604C22×C4C22×D412yes—
1605C22×C4C22×D411yescharacteristic
1606C22×C4C22×D412yes—
1607C22×C4C22×D411yescharacteristic
1608C22×C4C22×D412yes—
1609C22×C4C22×D411yescharacteristic
1610C22×C4C22×D412yes—
1611C22×C4C22×D411yescharacteristic
1612C22×C4C22×D412yes—
1613C22×C4C22×D411yescharacteristic
1614C22×C4C22×D411yescharacteristic
1615C22×C4C22×D412yes—
1616C22×C4C22×D412yes—
1617C22×C4C22×D412yes—
1618C22×C4C22×D411yescharacteristic
1619C22×C4C22×D411yescharacteristic
1620C22×C4C22×D411yescharacteristic
1621C22×C4C22×D411yescharacteristic
1622C22×C4C22×D412yes—
1623C22×C4C22×D412yes—
1624C22×C4C22×D412yes—
1625C22×C4C22×D412yes—
1626C22×C4C22×D412yes—
1627C22×C4C22×D411yescharacteristic
1628C22×C4C2511yescharacteristic
1629C22×C4C2512yes—
1630C22×C4C2511yescharacteristic
1631C22×C4C2512yes—
1632C22×C4C2511yescharacteristic
1633Q16—44no—
1634Q16—48no—
1635SD16—48no—
1636SD16—48no—
1637SD16—44no—
1638SD16—44no—
1639SD16—48no—
1640SD16—48no—
1641D8—44no—
1642D8—48no—
1643M16—28no—
1644M16—48no—
1645C2×C8—28no—
1646C2×C8—48no—
1647C2×C8C2514yes—
1648C2×C8C2514yes—
1649C2×C8C2518yes—
1650C4⋊C4—22no—
1651C4⋊C4—22no—
1652C4⋊C4—22no—
1653C4⋊C4—22no—
1654C4⋊C4—21no—
1655C4⋊C4—22no—
1656C4⋊C4—21no—
1657C4⋊C4—22no—
1658C4⋊C4—21no—
1659C4⋊C4—24no—
1660C4⋊C4—22no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—22no—
1666C4⋊C4—24no—
1667C4⋊C4—22no—
1668C4⋊C4—22no—
1669C4⋊C4—22no—
1670C4⋊C4—22no—
1671C4⋊C4—22no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—22no—
1677C4⋊C4—24no—
1678C4⋊C4—22no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—22no—
1688C4⋊C4—24no—
1689C4⋊C4—21no—
1690C4⋊C4—21no—
1691C4⋊C4—21no—
1692C4⋊C4—22no—
1693C4⋊C4—24no—
1694C4⋊C4—22no—
1695C4⋊C4—24no—
1696C4⋊C4—22no—
1697C4⋊C4—24no—
1698C4⋊C4—22no—
1699C4⋊C4—24no—
1700C4⋊C4C22×D411yescharacteristic
1701C4⋊C4C22×D412yes—
1702C4⋊C4C22×D411yescharacteristic
1703C4⋊C4C22×D412yes—
1704C4⋊C4C22×D412yes—
1705C4⋊C4C22×D411yescharacteristic
1706C4⋊C4C22×D411yescharacteristic
1707C4⋊C4C22×D412yes—
1708C4⋊C4C22×D412yes—
1709C4⋊C4C22×D412yes—
1710C4⋊C4C22×D412yes—
1711C4⋊C4C22×D412yes—
1712C4⋊C4C22×D412yes—
1713C4⋊C4C22×D412yes—
1714C4⋊C4C2514yes—
1715C4⋊C4C2512yes—
1716C4⋊C4C2512yes—
1717C4⋊C4C2514yes—
1718C4⋊C4C2512yes—
1719C4⋊C4C2512yes—
1720C22⋊C4—24no—
1721C22⋊C4—22no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—22no—
1726C22⋊C4—22no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—22no—
1731C22⋊C4—22no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—24no—
1736C22⋊C4—24no—
1737C22⋊C4—22no—
1738C22⋊C4—22no—
1739C22⋊C4—22no—
1740C22⋊C4—22no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—22no—
1752C22⋊C4—22no—
1753C22⋊C4—22no—
1754C22⋊C4—24no—
1755C22⋊C4—22no—
1756C22⋊C4—24no—
1757C22⋊C4—22no—
1758C22⋊C4—24no—
1759C22⋊C4—22no—
1760C22⋊C4—24no—
1761C22⋊C4C22×D412yes—
1762C22⋊C4C22×D412yes—
1763C22⋊C4C22×D412yes—
1764C22⋊C4C22×D412yes—
1765C22⋊C4C22×D412yes—
1766C22⋊C4C22×D412yes—
1767C22⋊C4C22×D412yes—
1768C22⋊C4C22×D412yes—
1769C22⋊C4C22×D412yes—
1770C22⋊C4C22×D412yes—
1771C22⋊C4C22×D412yes—
1772C22⋊C4C22×D412yes—
1773C42—22no—
1774C42—22no—
1775C42—22no—
1776C42—22no—
1777C42—22no—
1778C42—22no—
1779C42—24no—
1780C42—24no—
1781C42—24no—
1782C42—24no—
1783C42—24no—
1784C42—22no—
1785C42—22no—
1786C42—24no—
1787C42—22no—
1788C42C22×D411yescharacteristic
1789C42C22×D411yescharacteristic
1790C42C22×D411yescharacteristic
1791C42C22×D411yescharacteristic
1792C42C22×D411yescharacteristic
1793C42C22×D412yes—
1794C42C22×D412yes—
1795C42C22×D412yes—
1796C42C22×D411yescharacteristic
1797C42C22×D411yescharacteristic
1798C42C22×D411yescharacteristic
1799C42C22×D412yes—
1800C42C22×D411yescharacteristic
1801C42C22×D412yes—
1802C42C22×D412yes—
1803C42C22×D412yes—
1804C42C22×D412yes—
1805C42C22×D411yescharacteristic
1806C42C22×D412yes—
1807C42C22×D411yescharacteristic
1808C42C22×D411yescharacteristic
1809C42C22×D412yes—
1810C42C2511yescharacteristic
1811C42C2512yes—
1812C42C2511yescharacteristic
1813C42C2511yescharacteristic
1814C42C2512yes—
1815C42C2511yescharacteristic
1816C23—22no—
1817C23—22no—
1818C23—24no—
1819C23—22no—
1820C23—24no—
1821C23—22no—
1822C23—41no—
1823C23—42no—
1824C23—42no—
1825C23—42no—
1826C23—42no—
1827C23—44no—
1828C23—44no—
1829C23—44no—
1830C23—44no—
1831C23—44no—
1832C23—42no—
1833C23—82no—
1834C23—82no—
1835C23—82no—
1836C23—82no—
1837C23—816no—
1838C23C23×D411yescharacteristic
1839C23C23×D412yes—
1840C23C23×D412yes—
1841C23C23×D411yescharacteristic
1842C23C23×D411yescharacteristic
1843Q8—22no—
1844Q8—22no—
1845Q8—28no—
1846Q8—24no—
1847Q8—22no—
1848Q8—22no—
1849Q8—42no—
1850Q8—48no—
1851Q8—42no—
1852Q8—44no—
1853Q8—42no—
1854Q8—44no—
1855Q8—42no—
1856Q8—82no—
1857Q8—84no—
1858Q8—84no—
1859Q8—84no—
1860D4—24no—
1861D4—24no—
1862D4—24no—
1863D4—24no—
1864D4—22no—
1865D4—24no—
1866D4—22no—
1867D4—22no—
1868D4—22no—
1869D4—42no—
1870D4—42no—
1871D4—42no—
1872D4—44no—
1873D4—44no—
1874D4—42no—
1875D4—42no—
1876D4—44no—
1877D4—48no—
1878D4—44no—
1879D4—44no—
1880D4—44no—
1881D4—44no—
1882D4—42no—
1883D4—84no—
1884D4—84no—
1885D4—84no—
1886D4—84no—
1887D4—84no—
1888D4—84no—
1889D4—84no—
1890D4—84no—
1891D4—84no—
1892D4—84no—
1893D4—84no—
1894D4—82no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—24no—
1898C2×C4—24no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—24no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—24no—
1909C2×C4—24no—
1910C2×C4—24no—
1911C2×C4—24no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—24no—
1917C2×C4—22no—
1918C2×C4—24no—
1919C2×C4—22no—
1920C2×C4—24no—
1921C2×C4—42no—
1922C2×C4—42no—
1923C2×C4—42no—
1924C2×C4—41no—
1925C2×C4—41no—
1926C2×C4—41no—
1927C2×C4—42no—
1928C2×C4—41no—
1929C2×C4—42no—
1930C2×C4—42no—
1931C2×C4—41no—
1932C2×C4—42no—
1933C2×C4—41no—
1934C2×C4—42no—
1935C2×C4—44no—
1936C2×C4—48no—
1937C2×C4—42no—
1938C2×C4—42no—
1939C2×C4—48no—
1940C2×C4—44no—
1941C2×C4—44no—
1942C2×C4—42no—
1943C2×C4—44no—
1944C2×C4—44no—
1945C2×C4—48no—
1946C2×C4—48no—
1947C2×C4—44no—
1948C2×C4—44no—
1949C2×C4—44no—
1950C2×C4—82no—
1951C2×C4—82no—
1952C2×C4—84no—
1953C2×C4—84no—
1954C2×C4—82no—
1955C2×C4—84no—
1956C2×C4—82no—
1957C2×C4—82no—
1958C2×C4—82no—
1959C2×C4—84no—
1960C2×C4#57714yes—
1961C2×C4C23×D411yescharacteristic
1962C2×C4C23×D411yescharacteristic
1963C2×C4C23×D412yes—
1964C2×C4C23×D412yes—
1965C2×C4C23×D411yescharacteristic
1966C2×C4C23×D411yescharacteristic
1967C2×C4C23×D412yes—
1968C2×C4C23×D411yescharacteristic
1969C2×C4C23×D411yescharacteristic
1970C2×C4C23×D411yescharacteristic
1971C2×C4C23×D412yes—
1972C2×C4C23×D411yescharacteristic
1973C2×C4C23×D412yes—
1974C2×C4C23×D412yes—
1975C2×C4C23×D411yescharacteristic
1976C2×C4C23×D411yescharacteristic
1977C2×C4C23×D411yescharacteristic
1978C2×C4#58514yes—
1979C2×C4C2611yescharacteristic
1980C8—24no—
1981C8—24no—
1982C8—28no—
1983C22—21no—
1984C22—21no—
1985C22—21no—
1986C22—21no—
1987C22—21no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—21no—
1993C22—21no—
1994C22—22no—
1995C22—22no—
1996C22—44no—
1997C22—44no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—44no—
2003C22—42no—
2004C22—42no—
2005C22—44no—
2006C22—84no—
2007C22—84no—
2008C22—88no—
2009C22—88no—
2010C22—88no—
2011C22#344912yes—
2012C22C2×#57712yes—
2013C22C24×D411yescharacteristic
2014C4—21no—
2015C4—21no—
2016C4—22no—
2017C4—22no—
2018C4—21no—
2019C4—21no—
2020C4—21no—
2021C4—22no—
2022C4—21no—
2023C4—22no—
2024C4—21no—
2025C4—21no—
2026C4—22no—
2027C4—22no—
2028C4—44no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—44no—
2034C4—42no—
2035C4—44no—
2036C4—42no—
2037C4#344912yes—
2038C4C2×#57712yes—
2039C4C2×#57712yes—
2040C4C2×#58512yes—
2041C2—22no—
2042C2—22no—
2043C2—41no—
2044C2—42no—
2045C2—42no—
2046C2—82no—
2047C2—82no—
2048C2—84no—
2049C2C2×#344911yescharacteristic
2050C2C22×#57711yescharacteristic
2051C2#6309011yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutator, Frattini, cosocleC2×C4C26
socleC22C24×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×C4×#41 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62805C2semidirect
2. C2×#3460C2semidirect
3. #60991C2semidirect
4. #60989C2semidirect
5. #60979C2semidirect
6. #60977C2semidirect
7. #60956C2semidirect
8. #60951C2semidirect
9. #60950C2semidirect
10. #60942C2semidirect
11. #60941C2semidirect
12. #60929C2semidirect
13. #60923C2semidirect
14. #60892C2semidirect
15. #60872C2semidirect
16. #60836C2semidirect
17. #60812C2semidirect
18. #60763C2semidirect
19. #60757C2semidirect
20. #60694C2semidirect
21. #60572C2semidirect
22. #60562C2semidirect
23. #60558C2semidirect
24. #60536C2semidirect
25. C2×#3101C2semidirect
26. #60127C2semidirect
33. #3511C22semidirect
34. #3511C22semidirect
35. #3509C22semidirect
36. #3509C22semidirect
37. #3503C22semidirect
38. #3499C22semidirect
40. #3495C22semidirect
48. #3461C22semidirect
49. #3461C22semidirect
72. #3444C22semidirect
74. C2×#533C22semidirect
80. C4×2−1+4C22semidirect
84. #3263C22semidirect
85. #3260C22semidirect
86. #3258C22semidirect
87. #3257C22semidirect
88. #3254C22semidirect
89. #3253C22semidirect
90. #3252C22semidirect
91. #3252C22semidirect
92. #3248C22semidirect
93. #3247C22semidirect
94. #3246C22semidirect
95. #3246C22semidirect
96. #3244C22semidirect
97. #3244C22semidirect
98. #3242C22semidirect
99. #3241C22semidirect
100. #3238C22semidirect
101. #3238C22semidirect
102. #3236C22semidirect
103. #3235C22semidirect
104. #3233C22semidirect
105. #3232C22semidirect
106. #3229C22semidirect
107. #3227C22semidirect
108. #3225C22semidirect
109. #3224C22semidirect
110. #3222C22semidirect
111. #3221C22semidirect
112. #3218C22semidirect
115. #3214C22semidirect
116. #3212C22semidirect
119. #3206C22semidirect
120. #3204C22semidirect
121. #3201C22semidirect
122. #3200C22semidirect
123. #3198C22semidirect
124. #3195C22semidirect
126. #3194C22semidirect
128. #3190C22semidirect
131. #3187C22semidirect
132. #3179C22semidirect
133. #3178C22semidirect
134. #3174C22semidirect
135. #3173C22semidirect
136. #3172C22semidirect
137. #3171C22semidirect
138. #3168C22semidirect
139. #3167C22semidirect
140. #3163C22semidirect
141. #3154C22semidirect
142. #3137C22semidirect
143. #3136C22semidirect
144. #3126C22semidirect
145. #3125C22semidirect
146. #3121C22semidirect
147. #3119C22semidirect
148. #3116C22semidirect
150. #3113C22semidirect
151. #3110C22semidirect
152. #3110C22semidirect
153. #3109C22semidirect
154. #3108C22semidirect
155. #3108C22semidirect
156. #3107C22semidirect
157. #3107C22semidirect
158. #3106C22semidirect
159. #3106C22semidirect
160. #3105C22semidirect
161. #3105C22semidirect
162. #3104C22semidirect
163. #3104C22semidirect
164. #3103C22semidirect
165. #3103C22semidirect
166. #3102C22semidirect
167. #3102C22semidirect
172. #3101C22semidirect
173. #3101C22semidirect
174. #3101C22semidirect
175. #3101C22semidirect
177. #3100C22semidirect
178. #3099C22semidirect
179. #3096C22semidirect
184. #3084C22semidirect
185. #3082C22semidirect
186. #3079C22semidirect
187. #3077C22semidirect
188. #3076C22semidirect
189. C2×#476C22semidirect
190. #3063C22semidirect
191. #3062C22semidirect
192. #3060C22semidirect
193. #3057C22semidirect
194. #3045C22semidirect
195. #3043C22semidirect
196. #3039C22semidirect
197. #3036C22semidirect
198. #3035C22semidirect
199. C2×#461C22semidirect
200. #3013C22semidirect
201. #3010C22semidirect
206. C4×#137C22semidirect
207. C4×AGL(1,ℤ/8)C22semidirect
208. C4×#135C22semidirect
209. C2×C4×SD16C22semidirect
210. #2925C22semidirect
211. #2925C22semidirect
213. #2924C22semidirect
214. #2922C22semidirect
215. #2922C22semidirect
217. #2920C22semidirect
219. C2×#431C22semidirect
220. #2906C22semidirect
222. C4×#131C22semidirect
301. #544C23semidirect
319. #542C23semidirect
320. #542C23semidirect
324. #541C23semidirect
325. #541C23semidirect
362. #536C23semidirect
393. #533C23semidirect
394. #533C23semidirect
395. #533C23semidirect
396. #533C23semidirect
397. #533C23semidirect
415. #532C23semidirect
416. #532C23semidirect
421. C2×C4⋊Q8C23semidirect
422. C2×C4⋊Q8C23semidirect
455. #529C23semidirect
508. #520C23semidirect
511. #519C23semidirect
539. C4×#41C23semidirect
548. C2×C4×Q8C23semidirect
583. #501C23semidirect
584. #501C23semidirect
585. #499C23semidirect
586. #498C23semidirect
591. #491C23semidirect
594. #489C23semidirect
596. #488C23semidirect
597. #487C23semidirect
601. #485C23semidirect
611. #483C23semidirect
615. #482C23semidirect
619. #481C23semidirect
623. #479C23semidirect
624. #479C23semidirect
625. #479C23semidirect
626. #479C23semidirect
628. #478C23semidirect
629. #478C23semidirect
630. #477C23semidirect
631. #477C23semidirect
632. #477C23semidirect
637. #476C23semidirect
638. #476C23semidirect
639. #476C23semidirect
640. #475C23semidirect
641. #475C23semidirect
642. #475C23semidirect
643. #475C23semidirect
645. #474C23semidirect
646. #474C23semidirect
647. #470C23semidirect
648. #470C23semidirect
650. #469C23semidirect
654. #468C23semidirect
655. #467C23semidirect
660. #465C23semidirect
661. #465C23semidirect
662. #465C23semidirect
666. #464C23semidirect
669. #463C23semidirect
670. #462C23semidirect
671. #462C23semidirect
672. #462C23semidirect
677. #461C23semidirect
678. #461C23semidirect
679. #461C23semidirect
683. #460C23semidirect
686. #459C23semidirect
689. #452C23semidirect
692. #451C23semidirect
703. #449C23semidirect
707. #448C23semidirect
712. #441C23semidirect
714. #440C23semidirect
715. C4×Q16C23semidirect
716. C4×Q16C23semidirect
717. C4×Q16C23semidirect
723. C4×SD16C23semidirect
724. C4×SD16C23semidirect
725. C4×SD16C23semidirect
726. C4×SD16C23semidirect
727. C4×SD16C23semidirect
729. C4×D8C23semidirect
730. C4×D8C23semidirect
732. #433C23semidirect
733. #433C23semidirect
737. #432C23semidirect
746. #431C23semidirect
747. #431C23semidirect
748. #431C23semidirect
754. #424C23semidirect
756. #423C23semidirect
758. C2×C4⋊C8C23semidirect
774. #405C23semidirect
776. C4×M16C23semidirect
778. C2×C4×C8C23semidirect

Maximal subgroups

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

subgroupindex
#628052
C2×#34602
#609912
#609892
#609792
#609772
#609562
#609512
#609502
#609422
#609412
#609292
#609232
#608922
#608722
#608362
#608122
#607632
#607572
#606942
#605722
#605622
#605582
#605362
C2×#31012
#601272