Finite Group Databasebeta

← #10581858

Subgroups — #10581858

Order 512.

6091 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62831C211yesmaximal, characteristic, complemented
2C2×#3554C211yesmaximal, characteristic, complemented
3#62619C214yesmaximal, complemented
4#62560C214yesmaximal, complemented
5#62464C214yesmaximal, complemented
6#62439C214yesmaximal, complemented
7#62072C214yesmaximal, complemented
8#62069C214yesmaximal, complemented
9#62046C214yesmaximal, complemented
10#62043C214yesmaximal, complemented
11#61893C211yesmaximal, characteristic, complemented
12#61892C211yesmaximal, characteristic, complemented
13#61885C211yesmaximal, characteristic, complemented
14#61884C211yesmaximal, characteristic, complemented
15#61603C214yesmaximal, complemented
16#61595C214yesmaximal, complemented
17#61588C211yesmaximal, characteristic, complemented
18#61584C211yesmaximal, characteristic, complemented
19#61566C211yesmaximal, characteristic, complemented
20#61563C211yesmaximal, characteristic, complemented
21#60981C214yesmaximal, complemented
22#60952C211yesmaximal, characteristic, complemented
23#60943C211yesmaximal, characteristic, complemented
24#60814C214yesmaximal, complemented
25#60804C211yesmaximal, characteristic, complemented
26#60782C211yesmaximal, characteristic, complemented
27#60290C211yesmaximal, characteristic, complemented
28#3565—22no—
29#3564—22no—
30#3557—22no—
31#3555C2212yescomplemented
32#3554—22no—
33#3554—22no—
34#3554—22no—
35#3554—22no—
36#3554C2214yes—
37#3554C2214yes—
38#3554C2214yes—
39#3554C2214yes—
40#3554C2212yescomplemented
41#3552C2212yescomplemented
42#3544C2212yescomplemented
43#3535—22no—
44C2×#562—22no—
45#3523C2212yescomplemented
46#3522C2212yescomplemented
47#3520C2214yes—
48#3518C2212yescomplemented
49#3515—22no—
50#3515C2212yescomplemented
51#3510—21no—
52#3507—22no—
53#3507C2211yescharacteristic
54#3506C2211yescharacteristic
55#3504—21no—
56#3502C2211yescharacteristic
57#3501C2211yescharacteristic
58#3495—21no—
59#3495C2214yes—
60#3494—21no—
61C2×#559—21no—
62C2×#559C2211yescharacteristic
63C2×#557C2211yescharacteristic
64C2×#554—21no—
65C2×#550C2211yescharacteristic
66C2×D4×Q8C2211yescharacteristic
67C2×#548C2212yes—
68C2×#547C2212yes—
69C2×#542—21no—
70C2×#542C2212yes—
71C2×#540—21no—
72C2×#539—22no—
73C2×#536C2212yes—
74#3444C2211yescharacteristic
75C2×#533C2211yescharacteristic
76C2×#533C2211yescharacteristic
77C2×#532C2211yescharacteristic
78C2×#529C2211yescharacteristic
79#3400C2214yescomplemented
80#3400C2214yescomplemented
81#3400C2214yescomplemented
82#3398C2214yescomplemented
83#3396C2214yescomplemented
84#3395C2214yescomplemented
85#3395C2214yescomplemented
86#3394C2214yescomplemented
87#3375C2214yescomplemented
88#3375C2214yescomplemented
89#3374C2214yescomplemented
90#3372C2214yescomplemented
91#3365C2214yescomplemented
92#3363C2214yescomplemented
93#3363C2214yescomplemented
94#3361C2214yescomplemented
95#3333C2214yescomplemented
96#3333C2214yescomplemented
97#3330C2218yescomplemented
98#3329C2214yescomplemented
99#3328C2214yescomplemented
100#3327C2218yescomplemented
101#3315C2218yescomplemented
102#3315C2218yescomplemented
103#3313C2218yescomplemented
104#3308C2218yescomplemented
105#3305C2214yescomplemented
106#3304C2214yescomplemented
107#3302C2218yescomplemented
108#3300C2218yescomplemented
109#3299C2214yescomplemented
110#3299C2214yescomplemented
111#3287C2214yescomplemented
112D4×Q16C2214yescomplemented
113D4×Q16C2214yescomplemented
114#3285C2218yescomplemented
115#3284C2214yescomplemented
116#3283C2218yescomplemented
117#3278C2214yescomplemented
118#3278C2214yescomplemented
119#3278C2214yescomplemented
120#3277C2218yescomplemented
121#3276C2218yescomplemented
122#3276C2214yescomplemented
123#3270C2218yescomplemented
124#3269C2218yescomplemented
125#3269C2218yescomplemented
126#3269C2218yescomplemented
127#3262C2218yescomplemented
128#3258C2218yescomplemented
129#3255C2212yescomplemented
130#3254C2212yescomplemented
131#3249C2212yescomplemented
132#3249C2212yescomplemented
133#3243C2218yescomplemented
134#3239C2212yes—
135#3237C2212yescomplemented
136#3230C2212yes—
137#3230C2212yescomplemented
138#3225C2218yescomplemented
139#3225C2218yescomplemented
140#3225C2218yescomplemented
141#3223C2218yescomplemented
142#3223C2218yescomplemented
143#3218C2212yes—
144#3218C2214yes—
145#3216C2212yescomplemented
146#3216C2214yescomplemented
147#3215C2214yes—
148#3215C2214yes—
149#3212C2214yescomplemented
150#3211C2214yes—
151#3211C2214yes—
152#3210C2212yescomplemented
153#3210C2212yescomplemented
154#3210C2212yescomplemented
155#3209C2212yes—
156#3209C2211yescharacteristic
157#3209C2211yescharacteristic
158#3209C2211yescharacteristic
159#3209C2214yes—
160#3209C2212yescomplemented
161#3208C2211yescharacteristic
162#3208C2211yescharacteristic
163#3208C2211yescharacteristic
164#3207C2212yescomplemented
165#3206C2211yescharacteristic
166#3205C2211yescharacteristic
167#3196C2212yes—
168#3196C2212yes—
169#3196C2214yes—
170#3193C2214yes—
171#3189C2212yes—
172#3189C2212yes—
173#3189C2214yes—
174#3188C2214yes—
175#3178C2218yescomplemented
176#3175C2218yescomplemented
177#3172C2214yescomplemented
178#3170C2214yescomplemented
179#3156C2218yescomplemented
180#3152C2212yescomplemented
181#3147C2212yescomplemented
182#3141C2212yescomplemented
183#3137C2218yescomplemented
184#3131C2212yescomplemented
185#3124C2218yescomplemented
186#3121C2218yescomplemented
187#3117C2214yes—
188#3110C2214yes—
189#3107C2214yescomplemented
190#3105C2214yes—
191#3104C2211yescharacteristic
192#3104C2211yescharacteristic
193#3104C2211yescharacteristic
194#3104C2211yescharacteristic
195#3104C2211yescharacteristic
196#3104C2211yescharacteristic
197#3104C2214yes—
198#3104C2214yescomplemented
199#3103C2211yescharacteristic
200#3103C2211yescharacteristic
201#3046C2218yescomplemented
202#3044C2218yescomplemented
203#3037C2214yescomplemented
204#3035C2214yescomplemented
205#3007C2214yes—
206#3007C2214yes—
207#3004C2214yes—
208#3002C2214yes—
209#3002C2214yes—
210C2×#451C2214yes—
211#2994C2214yescomplemented
212#2993C2214yescomplemented
213#2983C2211yescharacteristic
214#2982C2211yescharacteristic
215#2975C2211yescharacteristic
216#2974C2214yes—
217#2972C2211yescharacteristic
218#2969C2214yescomplemented
219#2966C2214yescomplemented
220#2924C2214yes—
221#2920C2211yescharacteristic
222C2×#431C2211yescharacteristic
223C22×#41C2312yes—
224C22×#41C2312yes—
225C23×Q8C2312yes—
226C2×#137C2318yes—
227C2×#137C2318yes—
228C2×#137C2318yes—
229C2×#135C2318yes—
230C2×#135C2318yes—
231C22×Q16C2318yes—
232#563—24no—
233#563—24no—
234#563—24no—
235#562—28no—
236#562—28no—
237#562—28no—
238#562—28no—
239#562—24no—
240#559—24no—
241#559—24no—
242#559—24no—
243#559—24no—
244#559—22no—
245#559—22no—
246#559—22no—
247#559—22no—
248#559—22no—
249#559C2314yes—
250#559C2314yes—
251#559C2312yes—
252Q82C2312yes—
253Q82C2312yes—
254#557—22no—
255#557—22no—
256#557—22no—
257#557—22no—
258#557—22no—
259#557—22no—
260#557C2314yes—
261#557C2314yes—
262#557C2312yes—
263#557C2312yes—
264#557C2312yes—
265#556—24no—
266#556—22no—
267#556—22no—
268#556—22no—
269#556—22no—
270#556—24no—
271#556C2312yes—
272#556C2312yes—
273#556C2314yes—
274#555—22no—
275#555C2312yes—
276#554—24no—
277#554—24no—
278#554—24no—
279#554—24no—
280#554—22no—
281#554—22no—
282#554—22no—
283#554—22no—
284#554—22no—
285#554—24no—
286#554—24no—
287#554C2312yes—
288#554C2312yes—
289#554C2312yes—
290#553—22no—
291#553—22no—
292#553—22no—
293#552—24no—
294#552—24no—
295#552—22no—
296#552—22no—
297#552—22no—
298#552—24no—
299#552—24no—
300#552—24no—
301#552—24no—
302#552C2314yes—
303#552C2314yes—
304#551—24no—
305#551—24no—
306#551—24no—
307#551—24no—
308#550—22no—
309#550—22no—
310#550C2314yes—
311#550C2314yes—
312#550C2312yes—
313D4×Q8—22no—
314D4×Q8—22no—
315D4×Q8C2314yes—
316D4×Q8C2314yes—
317D4×Q8C2312yes—
318D4×Q8C2312yes—
319D4×Q8C2314yes—
320#548—24no—
321#548—24no—
322#548C2318yes—
323#548C2318yes—
324#548C2314yes—
325#548C2314yes—
326#547—24no—
327#547—22no—
328#547—24no—
329#547—24no—
330#547C2318yes—
331#547C2318yes—
332#547C2312yes—
333#547C2314yes—
334#547C2314yes—
335#546—24no—
336#544—22no—
337#544—22no—
338#544—21no—
339#544—21no—
340#544—22no—
341#544C2314yes—
342#543—22no—
343#542—24no—
344#542—22no—
345#542—22no—
346#542—24no—
347#542—24no—
348#542—24no—
349#542—24no—
350#542—24no—
351#542—22no—
352#542—22no—
353#542—24no—
354#542—24no—
355#542—24no—
356#542C2318yes—
357#542C2314yes—
358#542C2318yes—
359#542C2314yes—
360#541—24no—
361#541—24no—
362#541—22no—
363#541C2314yes—
364#541C2314yes—
365#540—24no—
366#540—24no—
367#540—24no—
368#540—24no—
369#540—22no—
370#539—28no—
371#539—28no—
372#539—28no—
373#539—28no—
374#539—24no—
375#539—24no—
376#539—24no—
377#539—24no—
378#539—24no—
379#539—22no—
380#538—22no—
381#536—21no—
382#536—24no—
383#536—24no—
384#536—24no—
385#536C2318yes—
386#536C2314yes—
387#536C2318yes—
388#535—21no—
389#533—22no—
390#533—22no—
391#533—21no—
392#533—21no—
393#533—21no—
394#533—21no—
395#533—21no—
396#533—21no—
397#533—21no—
398#533—21no—
399#533C2311yescharacteristic
400#533C2311yescharacteristic
401#533C2311yescharacteristic
402#533C2314yes—
403#533C2312yes—
404#533C2312yes—
405#533C2312yes—
406#533C2312yes—
407#533C2312yes—
408#533C2312yes—
409#533C2311yescharacteristic
410#533C2311yescharacteristic
411#533C2311yescharacteristic
412#533C2311yescharacteristic
413#532—22no—
414#532—21no—
415#532—21no—
416#532—21no—
417#532—21no—
418#532C2312yes—
419#532C2312yes—
420#532C2311yescharacteristic
421#532C2312yes—
422#532C2312yes—
423#532C2311yescharacteristic
424#532C2311yescharacteristic
425C2×C4⋊Q8—21no—
426C2×C4⋊Q8C2311yescharacteristic
427C2×C4⋊Q8C2311yescharacteristic
428C2×C4⋊Q8C2311yescharacteristic
429C2×C4⋊Q8C2312yes—
430C2×C4⋊Q8C2311yescharacteristic
431C2×C4⋊Q8C2311yescharacteristic
432C2×#127—21no—
433C2×#127C2311yescharacteristic
434#529—22no—
435#529—22no—
436#529—22no—
437#529—22no—
438#529—21no—
439#529—21no—
440#529—21no—
441#529—21no—
442#529D412yes—
443#529D412yes—
444#529D412yes—
445#529D412yes—
446#529C2314yes—
447#529C2312yes—
448#529C2312yes—
449#529C2312yes—
450#529C2312yes—
451#529C2312yes—
452#529C2312yes—
453C2×#126—22no—
454C2×#126D412yes—
455C2×#125—22no—
456C2×#125—22no—
457C2×#125—21no—
458C2×#125—21no—
459C2×#125—21no—
460C2×#125D411yescharacteristic
461C2×#124—21no—
462C2×#124—22no—
463C2×#124—22no—
464C2×#124D411yescharacteristic
465C2×#124C2312yes—
466C2×#124C2312yes—
467#525—21no—
468#525—21no—
469#525C2314yes—
470#525C2312yes—
471C2×#123—22no—
472C2×#123—22no—
473C2×#123—22no—
474C2×#123—22no—
475C2×#123—22no—
476C2×#123—22no—
477C2×#123D412yes—
478C2×C22⋊Q8—21no—
479C2×C22⋊Q8—21no—
480C2×C22⋊Q8—22no—
481C2×C22⋊Q8—22no—
482C2×C22⋊Q8—22no—
483C2×C22⋊Q8—22no—
484C2×C22⋊Q8—22no—
485C2×C22⋊Q8D411yescharacteristic
486C2×C22⋊Q8C2311yescharacteristic
487C2×C22⋊Q8C2311yescharacteristic
488C2×C22⋊Q8C2312yes—
489C2×C22⋊Q8C2312yes—
490C2×C22⋊Q8C2314yes—
491C2×#121—22no—
492C2×#121—22no—
493C2×#121—21no—
494C2×#121—21no—
495C2×#121—22no—
496C2×#121D411yescharacteristic
497C2×#121C2312yes—
498#520—24no—
499#520—21no—
500#520—21no—
501#520C2314yes—
502#519—21no—
503#519C2314yes—
504#518—21no—
505C4×#41—21no—
506C4×#41—21no—
507C4×#41C2312yes—
508C2×C4×Q8—21no—
509C2×C4×Q8—21no—
510C2×C4×Q8—21no—
511C2×C4×Q8C2311yescharacteristic
512C2×C4×Q8C2311yescharacteristic
513C2×C4×Q8C2312yes—
514C2×C4×Q8C2312yes—
515C2×C4×Q8C2311yescharacteristic
516C2×C4×D4—21no—
517C2×C4×D4—21no—
518C2×C4×D4—21no—
519C2×C4×D4—22no—
520C2×C4×D4—21no—
521C2×C4×D4—21no—
522C2×C4×D4C2312yes—
523C2×C4×D4C2312yes—
524C2×C4×D4C2311yescharacteristic
525C2×#117—21no—
526C2×#117—21no—
527C2×#117C2312yes—
528C22×C4⋊C4—22no—
529C22×C42C2311yescharacteristic
530#501C2314yes—
531#500C2314yes—
532#497C2318yes—
533#497C2318yes—
534#497C2318yes—
535#497C2314yes—
536#495C2318yes—
537#495C2318yes—
538#494C2312yes—
539#494C2312yes—
540#494C2318yes—
541#494C2312yes—
542#494C2314yes—
543#493C2312yes—
544#492C2312yes—
545#492C2312yes—
546#492C2312yes—
547#492C2312yes—
548#491C2318yes—
549#491C2314yes—
550#489C2318yes—
551#489C2318yes—
552#489C2314yes—
553#488C2318yes—
554#488C2318yes—
555#487C2312yes—
556#487C2312yes—
557#487C2318yes—
558#487C2312yes—
559#487C2312yes—
560#487C2314yes—
561#487C2314yes—
562#486C2312yes—
563#486C2312yes—
564#486C2312yes—
565#486C2312yes—
566#485C2318yes—
567#485C2314yes—
568#485C2314yes—
569#484C2314yes—
570#484C2318yes—
571#484C2312yes—
572#484C2312yes—
573#484C2312yes—
574#484C2312yes—
575#484C2312yes—
576#484C2312yes—
577#484C2314yes—
578#482C2318yes—
579#481C2312yes—
580#481C2312yes—
581#480C2318yes—
582#479C2318yes—
583#478C2318yes—
584#477C2312yes—
585#477C2312yes—
586#477C2312yes—
587#477C2312yes—
588#477C2312yes—
589#477C2318yes—
590#477C2312yes—
591#477C2314yes—
592#477C2314yes—
593#475C2312yes—
594#475C2312yes—
595#475C2314yes—
596#474C2318yes—
597#474C2314yes—
598#470C2318yes—
599#470C2314yes—
600#470C2314yes—
601#468C2318yes—
602#468C2314yes—
603#468C2318yes—
604#468C2318yes—
605#468C2314yes—
606#467C2314yes—
607#467C2314yes—
608#467C2314yes—
609#467C2314yes—
610#467C2318yes—
611#467C2318yes—
612#466C2318yes—
613#465C2318yes—
614#464C2318yes—
615#464C2318yes—
616#464C2318yes—
617#464C2318yes—
618#464C2318yes—
619#464C2318yes—
620#464C2318yes—
621#463C2318yes—
622#463C2318yes—
623#463C2318yes—
624#462C2314yes—
625#462C2312yes—
626#462C2312yes—
627#462C2312yes—
628#462C2318yes—
629#462C2312yes—
630#462C2312yes—
631#462C2312yes—
632#462C2314yes—
633#462C2314yes—
634#462C2314yes—
635#462C2314yes—
636#462C2318yes—
637#462C2318yes—
638#462C2318yes—
639#462C2314yes—
640#461C2314yes—
641#461C2318yes—
642#461C2314yes—
643#461C2318yes—
644#460C2314yes—
645#460C2314yes—
646#460C2312yes—
647#460C2312yes—
648#460C2314yes—
649#459C2314yes—
650#452C2318yes—
651#452C2318yes—
652#452C2314yes—
653#452C2314yes—
654#452C2318yes—
655#452C2318yes—
656#452C2318yes—
657#452C2318yes—
658#452C2318yes—
659#451C2318yes—
660#451C2312yes—
661#451C2314yes—
662#451C2312yes—
663#451C2312yes—
664#451C2312yes—
665#451C2314yes—
666#451C2312yes—
667#451C2312yes—
668#451C2314yes—
669#451C2314yes—
670#451C2314yes—
671#451C2318yes—
672#451C2318yes—
673#451C2318yes—
674#450C2314yes—
675#450C2314yes—
676#450C2314yes—
677#449C2318yes—
678#449C2318yes—
679#449C2318yes—
680#448C2318yes—
681#448C2312yes—
682#448C2312yes—
683#448C2314yes—
684#448C2318yes—
685#447C2314yes—
686#446C2314yes—
687#446C2314yes—
688C8×Q8C2314yes—
689C8×Q8C2314yes—
690#441C2318yes—
691#440C2318yes—
692#440C2318yes—
693#440C2318yes—
694C4×Q16C2314yes—
695C4×Q16C2314yes—
696C4×Q16C2314yes—
697C4×Q16C2314yes—
698C4×Q16C2314yes—
699C4×Q16C2314yes—
700C4×Q16C2318yes—
701C4×Q16C2318yes—
702C4×SD16C2314yes—
703C4×SD16C2314yes—
704C4×SD16C2318yes—
705C4×D8C2318yes—
706#436C2314yes—
707#436C2314yes—
708#436C2318yes—
709#435C2318yes—
710#435C2318yes—
711C8×D4C2314yes—
712C8×D4C2318yes—
713C8×D4C2314yes—
714#433C2318yes—
715#433C2318yes—
716#432C2314yes—
717#432C2312yes—
718#432C2312yes—
719#431C2311yescharacteristic
720#431C2311yescharacteristic
721#431C2311yescharacteristic
722#431C2311yescharacteristic
723#431C2314yes—
724#431C2312yes—
725#431C2312yes—
726#431C2312yes—
727#431C2312yes—
728#424C2318yes—
729#423C2312yes—
730C2×C4⋊C8C2312yes—
731#419C2318yes—
732#417C2318yes—
733#417C2318yes—
734#416C2318yes—
735#416C2318yes—
736C2×#103C2318yes—
737#407C2312yes—
738#407C2314yes—
739C2×C22⋊C8C2312yes—
740C2×C22⋊C8C2314yes—
741#405C2318yes—
742C4×M16C2312yes—
743C2×C4×C8C2312yes—
744C2×#41—24no—
745C2×#41—21no—
746C2×#41—21no—
747C2×#41—22no—
748C2×#41—22no—
749C2×#41—24no—
750C2×#41—84no—
751C2×#41—84no—
752C2×#41C2412yes—
753C2×#41C2414yes—
754C2×#41C2414yes—
755C2×#41C2414yes—
756C2×#41C2418yes—
757C22×Q8—21no—
758C22×Q8—21no—
759C22×Q8—22no—
760C22×Q8—24no—
761C22×Q8—84no—
762C22×Q8C2×D411yescharacteristic
763C22×Q8C2411yescharacteristic
764C22×Q8C2412yes—
765C22×Q8C2411yescharacteristic
766C22×Q8C2412yes—
767C22×Q8C2414yes—
768C22×Q8C2418yes—
769C22×D4—22no—
770C22×D4—22no—
771C22×D4—22no—
772C22×D4—21no—
773C22×D4—21no—
774C22×D4C2×D411yescharacteristic
775C22×D4C2×D412yes—
776C22×D4C2412yes—
777C23×C4—22no—
778C23×C4—22no—
779C23×C4—22no—
780C23×C4—22no—
781C23×C4C2×D411yescharacteristic
782C23×C4C2×D411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785#137—88no—
786#137—88no—
787#137—88no—
788#135—88no—
789#135—88no—
790C2×Q16—88no—
791C2×Q16C2414yes—
792C2×Q16C2414yes—
793C2×Q16C2418yes—
794C2×Q16C2418yes—
795C2×Q16C2414yes—
796C2×Q16C2414yes—
797C2×Q16C2414yes—
798C2×Q16C2418yes—
799C2×Q16C2414yes—
800C2×SD16C2414yes—
801C2×SD16C2418yes—
802C2×SD16C2418yes—
803C2×SD16C2418yes—
804C2×SD16C2414yes—
805C2×SD16C2418yes—
806C2×D8C2418yes—
807C2×M16C2414yes—
808C2×M16C2418yes—
809C22×C8C2418yes—
810C22×C8C2414yes—
811C4⋊Q8—22no—
812C4⋊Q8—24no—
813C4⋊Q8—24no—
814C4⋊Q8—22no—
815C4⋊Q8—22no—
816C4⋊Q8—22no—
817C4⋊Q8—22no—
818C4⋊Q8—24no—
819C4⋊Q8—24no—
820C4⋊Q8—24no—
821C4⋊Q8—24no—
822C4⋊Q8—21no—
823C4⋊Q8—21no—
824C4⋊Q8—21no—
825C4⋊Q8—21no—
826C4⋊Q8—21no—
827C4⋊Q8—21no—
828C4⋊Q8—21no—
829C4⋊Q8—21no—
830C4⋊Q8—21no—
831C4⋊Q8—21no—
832C4⋊Q8—24no—
833C4⋊Q8C2412yes—
834C4⋊Q8C2412yes—
835C4⋊Q8C2412yes—
836C4⋊Q8C2412yes—
837C4⋊Q8C2412yes—
838C4⋊Q8C2411yescharacteristic
839C4⋊Q8C2411yescharacteristic
840C4⋊Q8C2418yes—
841C4⋊Q8C2411yescharacteristic
842C4⋊Q8C2414yes—
843C4⋊Q8C2412yes—
844C4⋊Q8C2412yes—
845C4⋊Q8C2412yes—
846C4⋊Q8C2411yescharacteristic
847C4⋊Q8C2411yescharacteristic
848C4⋊Q8C2411yescharacteristic
849C4⋊Q8C2411yescharacteristic
850C4⋊Q8C2414yes—
851#127—24no—
852#127—24no—
853#127—22no—
854#127—21no—
855#127—21no—
856#127C2412yes—
857#127C2412yes—
858#127C2411yescharacteristic
859#126—28no—
860#126—28no—
861#126—24no—
862#126—24no—
863#126—24no—
864#126—24no—
865#126—24no—
866#126—24no—
867#126—24no—
868#126—24no—
869#126—24no—
870#126—24no—
871#126—24no—
872#126—24no—
873#126—22no—
874#126—22no—
875#126—24no—
876#126C2×D414yes—
877#126C2×D414yes—
878#126C2×D414yes—
879#126C2×D414yes—
880#125—28no—
881#125—28no—
882#125—24no—
883#125—24no—
884#125—24no—
885#125—24no—
886#125—22no—
887#125—22no—
888#125—22no—
889#125—22no—
890#125—24no—
891#125—24no—
892#125—24no—
893#125—24no—
894#125—24no—
895#125—24no—
896#125—24no—
897#125—24no—
898#125—21no—
899#125—21no—
900#125—22no—
901#125—22no—
902#125—22no—
903#125—22no—
904#125—22no—
905#125—22no—
906#125—21no—
907#125—21no—
908#125—21no—
909#125—21no—
910#125—24no—
911#125C2×D412yes—
912#125C2×D412yes—
913#125C2×D412yes—
914#125C2×D412yes—
915#125C2412yes—
916#125C2414yes—
917#124—24no—
918#124—24no—
919#124—22no—
920#124—22no—
921#124—24no—
922#124—28no—
923#124—28no—
924#124—28no—
925#124—28no—
926#124—24no—
927#124—24no—
928#124—24no—
929#124—24no—
930#124—24no—
931#124—22no—
932#124—22no—
933#124—24no—
934#124—21no—
935#124—21no—
936#124C2×D412yes—
937#124C2×D412yes—
938#124C2×D412yes—
939#124C2×D412yes—
940#124C2414yes—
941#124C2414yes—
942#124C2418yes—
943#124C2412yes—
944#124C2414yes—
945#123—24no—
946#123—24no—
947#123—22no—
948#123—22no—
949#123—22no—
950#123—24no—
951#123—24no—
952#123—28no—
953#123—28no—
954#123—24no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—24no—
966#123—24no—
967#123—24no—
968#123—24no—
969#123—24no—
970#123—24no—
971#123—24no—
972#123—24no—
973#123—24no—
974#123C2×D414yes—
975#123C2×D414yes—
976#123C2×D414yes—
977#123C2×D414yes—
978C22⋊Q8—22no—
979C22⋊Q8—22no—
980C22⋊Q8—21no—
981C22⋊Q8—21no—
982C22⋊Q8—21no—
983C22⋊Q8—21no—
984C22⋊Q8—22no—
985C22⋊Q8—22no—
986C22⋊Q8—22no—
987C22⋊Q8—22no—
988C22⋊Q8—22no—
989C22⋊Q8—22no—
990C22⋊Q8—22no—
991C22⋊Q8—21no—
992C22⋊Q8—21no—
993C22⋊Q8—21no—
994C22⋊Q8—21no—
995C22⋊Q8—22no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—21no—
1000C22⋊Q8—21no—
1001C22⋊Q8—21no—
1002C22⋊Q8—21no—
1003C22⋊Q8—24no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—24no—
1016C22⋊Q8—24no—
1017C22⋊Q8—24no—
1018C22⋊Q8—24no—
1019C22⋊Q8—24no—
1020C22⋊Q8—28no—
1021C22⋊Q8—28no—
1022C22⋊Q8—24no—
1023C22⋊Q8—24no—
1024C22⋊Q8—24no—
1025C22⋊Q8—24no—
1026C22⋊Q8—24no—
1027C22⋊Q8—24no—
1028C22⋊Q8—24no—
1029C22⋊Q8—24no—
1030C22⋊Q8C2×D412yes—
1031C22⋊Q8C2×D412yes—
1032C22⋊Q8C2×D412yes—
1033C22⋊Q8C2×D412yes—
1034C22⋊Q8C2412yes—
1035C22⋊Q8C2412yes—
1036C22⋊Q8C2412yes—
1037C22⋊Q8C2412yes—
1038C22⋊Q8C2412yes—
1039C22⋊Q8C2412yes—
1040C22⋊Q8C2412yes—
1041C22⋊Q8C2412yes—
1042C22⋊Q8C2412yes—
1043C22⋊Q8C2414yes—
1044C22⋊Q8C2414yes—
1045C22⋊Q8C2418yes—
1046C22⋊Q8C2412yes—
1047C22⋊Q8C2414yes—
1048#121—28no—
1049#121—28no—
1050#121—28no—
1051#121—28no—
1052#121—22no—
1053#121—22no—
1054#121—24no—
1055#121—24no—
1056#121—24no—
1057#121—22no—
1058#121—22no—
1059#121—22no—
1060#121—22no—
1061#121—22no—
1062#121—22no—
1063#121—22no—
1064#121—22no—
1065#121—24no—
1066#121—21no—
1067#121—21no—
1068#121—21no—
1069#121—21no—
1070#121—28no—
1071#121—28no—
1072#121—24no—
1073#121C2×D412yes—
1074#121C2×D412yes—
1075#121C2×D412yes—
1076#121C2×D412yes—
1077#121C2418yes—
1078#121C2412yes—
1079#121C2412yes—
1080#121C2414yes—
1081#120—22no—
1082#120—24no—
1083C4×Q8—24no—
1084C4×Q8—24no—
1085C4×Q8—22no—
1086C4×Q8—22no—
1087C4×Q8—22no—
1088C4×Q8—22no—
1089C4×Q8—24no—
1090C4×Q8—24no—
1091C4×Q8—22no—
1092C4×Q8—24no—
1093C4×Q8—22no—
1094C4×Q8—21no—
1095C4×Q8—22no—
1096C4×Q8—21no—
1097C4×Q8—22no—
1098C4×Q8—22no—
1099C4×Q8—22no—
1100C4×Q8—22no—
1101C4×Q8—22no—
1102C4×Q8—21no—
1103C4×Q8—21no—
1104C4×Q8—22no—
1105C4×Q8—21no—
1106C4×Q8—21no—
1107C4×Q8—21no—
1108C4×Q8—21no—
1109C4×Q8—22no—
1110C4×Q8—24no—
1111C4×Q8—21no—
1112C4×Q8—21no—
1113C4×Q8—21no—
1114C4×Q8—21no—
1115C4×Q8—24no—
1116C4×Q8C2×D412yes—
1117C4×Q8C2×D412yes—
1118C4×Q8C2412yes—
1119C4×Q8C2412yes—
1120C4×Q8C2412yes—
1121C4×Q8C2412yes—
1122C4×Q8C2412yes—
1123C4×Q8C2412yes—
1124C4×Q8C2412yes—
1125C4×Q8C2412yes—
1126C4×Q8C2418yes—
1127C4×Q8C2412yes—
1128C4×Q8C2412yes—
1129C4×Q8C2414yes—
1130C4×Q8C2414yes—
1131C4×Q8C2414yes—
1132C4×Q8C2412yes—
1133C4×Q8C2412yes—
1134C4×D4—24no—
1135C4×D4—24no—
1136C4×D4—22no—
1137C4×D4—22no—
1138C4×D4—22no—
1139C4×D4—22no—
1140C4×D4—24no—
1141C4×D4—22no—
1142C4×D4—22no—
1143C4×D4—22no—
1144C4×D4—22no—
1145C4×D4—22no—
1146C4×D4—22no—
1147C4×D4—24no—
1148C4×D4—24no—
1149C4×D4—24no—
1150C4×D4—24no—
1151C4×D4—24no—
1152C4×D4—24no—
1153C4×D4—24no—
1154C4×D4—22no—
1155C4×D4—22no—
1156C4×D4—28no—
1157C4×D4—28no—
1158C4×D4—24no—
1159C4×D4—24no—
1160C4×D4—24no—
1161C4×D4—24no—
1162C4×D4—22no—
1163C4×D4—22no—
1164C4×D4—22no—
1165C4×D4—22no—
1166C4×D4—22no—
1167C4×D4—22no—
1168C4×D4—22no—
1169C4×D4—22no—
1170C4×D4—24no—
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—21no—
1175C4×D4C2×D414yes—
1176C4×D4C2×D414yes—
1177C4×D4C2×D412yes—
1178C4×D4C2×D412yes—
1179C4×D4C2418yes—
1180C4×D4C2412yes—
1181C4×D4C2412yes—
1182C4×D4C2414yes—
1183C4×D4C2414yes—
1184C4×D4C2414yes—
1185C4×D4C2412yes—
1186C4×D4C2412yes—
1187#117—21no—
1188#117—21no—
1189#117—22no—
1190#117—22no—
1191#117—22no—
1192#117—22no—
1193#117—22no—
1194#117—22no—
1195#117—21no—
1196#117—21no—
1197#117—21no—
1198#117—21no—
1199#117—24no—
1200#117—22no—
1201#117—22no—
1202#117—24no—
1203#117—24no—
1204#117—24no—
1205#117—24no—
1206#117—24no—
1207#117—22no—
1208#117—22no—
1209#117—22no—
1210#117—24no—
1211#117C2×D414yes—
1212#117C2×D414yes—
1213#117C2412yes—
1214#117C2414yes—
1215#117C2414yes—
1216#117C2414yes—
1217C2×C4⋊C4—21no—
1218C2×C4⋊C4—22no—
1219C2×C4⋊C4—22no—
1220C2×C4⋊C4—21no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—22no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4—22no—
1230C2×C4⋊C4—21no—
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—22no—
1233C2×C4⋊C4—21no—
1234C2×C4⋊C4—22no—
1235C2×C4⋊C4—24no—
1236C2×C4⋊C4—28no—
1237C2×C4⋊C4—28no—
1238C2×C4⋊C4—24no—
1239C2×C4⋊C4—22no—
1240C2×C4⋊C4—22no—
1241C2×C4⋊C4—24no—
1242C2×C4⋊C4C2×D412yes—
1243C2×C4⋊C4C2×D412yes—
1244C2×C4⋊C4C2×D412yes—
1245C2×C4⋊C4C2×D411yescharacteristic
1246C2×C4⋊C4C2×D411yescharacteristic
1247C2×C4⋊C4C2×D412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2414yes—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—22no—
1255C2×C22⋊C4—22no—
1256C2×C22⋊C4—24no—
1257C2×C22⋊C4—22no—
1258C2×C22⋊C4—22no—
1259C2×C22⋊C4—22no—
1260C2×C22⋊C4—22no—
1261C2×C22⋊C4—22no—
1262C2×C22⋊C4—22no—
1263C2×C22⋊C4C2×D412yes—
1264C2×C22⋊C4C2×D412yes—
1265C2×C22⋊C4C2×D412yes—
1266C2×C22⋊C4C2×D412yes—
1267C2×C22⋊C4C2×D412yes—
1268C2×C42—21no—
1269C2×C42—21no—
1270C2×C42—22no—
1271C2×C42—22no—
1272C2×C42—22no—
1273C2×C42C2×D411yescharacteristic
1274C2×C42C2×D411yescharacteristic
1275C2×C42C2×D411yescharacteristic
1276C2×C42C2×D411yescharacteristic
1277C2×C42C2×D411yescharacteristic
1278C2×C42C2×D411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2412yes—
1281C2×C42C2411yescharacteristic
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286#107C2414yes—
1287#107C2414yes—
1288#107C2414yes—
1289#107C2414yes—
1290#107C2414yes—
1291#107C2414yes—
1292#106C2414yes—
1293#106C2414yes—
1294C4⋊C8C2414yes—
1295C4⋊C8C2412yes—
1296C4⋊C8C2412yes—
1297C4⋊C8C2414yes—
1298C4⋊C8C2412yes—
1299C4⋊C8C2412yes—
1300C4⋊C8C2418yes—
1301C4⋊C8C2418yes—
1302#103C2414yes—
1303#103C2414yes—
1304#103C2418yes—
1305#103C2418yes—
1306#103C2414yes—
1307#103C2414yes—
1308#103C2418yes—
1309#103C2414yes—
1310#103C2414yes—
1311#103C2418yes—
1312#103C2414yes—
1313#103C2414yes—
1314#103C2414yes—
1315#103C2414yes—
1316#103C2414yes—
1317#103C2414yes—
1318#103C2414yes—
1319#103C2414yes—
1320#102C2418yes—
1321#102C2418yes—
1322#102C2418yes—
1323#102C2418yes—
1324#102C2414yes—
1325#102C2414yes—
1326C22⋊C8C2412yes—
1327C22⋊C8C2412yes—
1328C22⋊C8C2412yes—
1329C22⋊C8C2414yes—
1330C22⋊C8C2418yes—
1331C22⋊C8C2412yes—
1332C22⋊C8C2414yes—
1333C22⋊C8C2418yes—
1334#97C2414yes—
1335#97C2418yes—
1336C4×C8C2414yes—
1337C4×C8C2412yes—
1338C4×C8C2412yes—
1339C4×C8C2412yes—
1340C4×C8C2412yes—
1341C4×C8C2418yes—
1342C24—22no—
1343C24C22×D411yescharacteristic
1344C24C22×D412yes—
1345#41—44no—
1346#41—48no—
1347#41—48no—
1348#41—48no—
1349#41—48no—
1350#41—48no—
1351#41—44no—
1352#41—82no—
1353#41—88no—
1354#41—88no—
1355#41—84no—
1356#41—84no—
1357C2×Q8—24no—
1358C2×Q8—21no—
1359C2×Q8—21no—
1360C2×Q8—22no—
1361C2×Q8—21no—
1362C2×Q8—21no—
1363C2×Q8—24no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—21no—
1369C2×Q8—24no—
1370C2×Q8—21no—
1371C2×Q8—28no—
1372C2×Q8—42no—
1373C2×Q8—44no—
1374C2×Q8—42no—
1375C2×Q8—48no—
1376C2×Q8—48no—
1377C2×Q8—44no—
1378C2×Q8—48no—
1379C2×Q8—82no—
1380C2×Q8—82no—
1381C2×Q8—84no—
1382C2×Q8—88no—
1383C2×Q8C22×D412yes—
1384C2×Q8C22×D412yes—
1385C2×Q8C2512yes—
1386C2×Q8C2514yes—
1387C2×Q8C2512yes—
1388C2×Q8C2512yes—
1389C2×Q8C2512yes—
1390C2×Q8C2512yes—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—28no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—24no—
1401C2×D4—21no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—21no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—82no—
1411C2×D4—82no—
1412C2×D4—84no—
1413C2×D4—84no—
1414C2×D4—84no—
1415C2×D4C22×D412yes—
1416C2×D4C22×D412yes—
1417C2×D4C22×D414yes—
1418C2×D4C22×D414yes—
1419C2×D4C2514yes—
1420C2×D4C2512yes—
1421C22×C4—24no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—22no—
1426C22×C4—21no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—28no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—28no—
1440C22×C4—28no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—81no—
1444C22×C4—84no—
1445C22×C4—84no—
1446C22×C4—84no—
1447C22×C4—84no—
1448C22×C4C22×D411yescharacteristic
1449C22×C4C22×D412yes—
1450C22×C4C22×D411yescharacteristic
1451C22×C4C22×D411yescharacteristic
1452C22×C4C22×D411yescharacteristic
1453C22×C4C22×D411yescharacteristic
1454C22×C4C22×D411yescharacteristic
1455C22×C4C22×D411yescharacteristic
1456C22×C4C22×D411yescharacteristic
1457C22×C4C22×D411yescharacteristic
1458C22×C4C22×D411yescharacteristic
1459C22×C4C22×D411yescharacteristic
1460C22×C4C22×D411yescharacteristic
1461C22×C4C22×D411yescharacteristic
1462C22×C4C22×D411yescharacteristic
1463C22×C4C22×D412yes—
1464C22×C4C22×D412yes—
1465C22×C4C22×D414yes—
1466C22×C4C22×D411yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2514yes—
1471Q16—44no—
1472Q16—44no—
1473Q16—48no—
1474Q16—48no—
1475Q16—44no—
1476Q16—44no—
1477Q16—44no—
1478Q16—44no—
1479Q16—48no—
1480SD16—44no—
1481SD16—48no—
1482SD16—48no—
1483SD16—48no—
1484SD16—44no—
1485SD16—48no—
1486D8—48no—
1487M16—44no—
1488M16—48no—
1489C2×C8—48no—
1490C2×C8—44no—
1491C2×C8C2514yes—
1492C2×C8C2514yes—
1493C2×C8C2514yes—
1494C2×C8C2514yes—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—28no—
1503C4⋊C4—28no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—21no—
1532C4⋊C4—22no—
1533C4⋊C4—28no—
1534C4⋊C4—21no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—28no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—21no—
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D414yes—
1561C4⋊C4C22×D412yes—
1562C4⋊C4C22×D412yes—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D412yes—
1568C4⋊C4C22×D412yes—
1569C4⋊C4C22×D414yes—
1570C4⋊C4C22×D414yes—
1571C4⋊C4C2512yes—
1572C4⋊C4C2512yes—
1573C4⋊C4C2512yes—
1574C4⋊C4C2512yes—
1575C4⋊C4C2512yes—
1576C4⋊C4C2512yes—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—22no—
1582C22⋊C4—22no—
1583C22⋊C4—22no—
1584C22⋊C4—22no—
1585C22⋊C4—22no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4C22×D414yes—
1612C22⋊C4C22×D414yes—
1613C22⋊C4C22×D414yes—
1614C22⋊C4C22×D414yes—
1615C22⋊C4C22×D414yes—
1616C22⋊C4C22×D414yes—
1617C22⋊C4C22×D414yes—
1618C22⋊C4C22×D414yes—
1619C22⋊C4C22×D414yes—
1620C22⋊C4C22×D414yes—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—28no—
1633C42—24no—
1634C42—24no—
1635C42—24no—
1636C42—24no—
1637C42C22×D411yescharacteristic
1638C42C22×D411yescharacteristic
1639C42C22×D411yescharacteristic
1640C42C22×D411yescharacteristic
1641C42C22×D411yescharacteristic
1642C42C22×D411yescharacteristic
1643C42C22×D411yescharacteristic
1644C42C22×D411yescharacteristic
1645C42C22×D411yescharacteristic
1646C42C22×D411yescharacteristic
1647C42C22×D411yescharacteristic
1648C42C22×D411yescharacteristic
1649C42C22×D414yes—
1650C42C2511yescharacteristic
1651C42C2511yescharacteristic
1652C42C2511yescharacteristic
1653C42C2514yes—
1654C42C2511yescharacteristic
1655C23—22no—
1656C23—24no—
1657C23—22no—
1658C23—24no—
1659C23—42no—
1660C23—41no—
1661C23—41no—
1662C23—42no—
1663C23—44no—
1664C23—44no—
1665C23—44no—
1666C23C23×D411yescharacteristic
1667C23C23×D414yes—
1668C23C23×D411yescharacteristic
1669C23C23×D411yescharacteristic
1670Q8—24no—
1671Q8—24no—
1672Q8—24no—
1673Q8—24no—
1674Q8—24no—
1675Q8—22no—
1676Q8—22no—
1677Q8—28no—
1678Q8—22no—
1679Q8—22no—
1680Q8—42no—
1681Q8—44no—
1682Q8—42no—
1683Q8—42no—
1684Q8—82no—
1685Q8—84no—
1686Q8—88no—
1687Q8—82no—
1688Q8—81no—
1689Q8—81no—
1690Q8—82no—
1691Q8—82no—
1692Q8—81no—
1693Q8—84no—
1694D4—24no—
1695D4—28no—
1696D4—24no—
1697D4—24no—
1698D4—44no—
1699D4—44no—
1700D4—44no—
1701D4—44no—
1702D4—44no—
1703D4—44no—
1704D4—44no—
1705D4—42no—
1706D4—82no—
1707D4—82no—
1708D4—81no—
1709D4—88no—
1710D4—88no—
1711D4—84no—
1712D4—84no—
1713D4—84no—
1714D4—82no—
1715D4—84no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—28no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—24no—
1737C2×C4—22no—
1738C2×C4—41no—
1739C2×C4—42no—
1740C2×C4—44no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—42no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—42no—
1751C2×C4—44no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—88no—
1758C2×C4—84no—
1759C2×C4—84no—
1760C2×C4—88no—
1761C2×C4—82no—
1762C2×C4—84no—
1763C2×C4—82no—
1764C2×C4—84no—
1765C2×C4—88no—
1766C2×C4—82no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4#57814yes—
1770C2×C4C23×D411yescharacteristic
1771C2×C4C23×D414yes—
1772C2×C4C23×D411yescharacteristic
1773C2×C4C23×D411yescharacteristic
1774C2×C4C23×D414yes—
1775C2×C4C23×D414yes—
1776C2×C4C23×D411yescharacteristic
1777C2×C4C23×D411yescharacteristic
1778C2×C4C23×D411yescharacteristic
1779C2×C4C23×D411yescharacteristic
1780C2×C4C23×D411yescharacteristic
1781C2×C4C23×D411yescharacteristic
1782C2×C4C23×D411yescharacteristic
1783C2×C4C23×D411yescharacteristic
1784C2×C4C2611yescharacteristic
1785C8—24no—
1786C8—24no—
1787C8—24no—
1788C8—24no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—24no—
1794C22—21no—
1795C22—21no—
1796C22—24no—
1797C22—24no—
1798C22—21no—
1799C22—21no—
1800C22—42no—
1801C22—44no—
1802C22—42no—
1803C22—44no—
1804C22—44no—
1805C22—42no—
1806C22—82no—
1807C22—84no—
1808C22—88no—
1809C22C2×#57812yes—
1810C22C24×D411yescharacteristic
1811C4—21no—
1812C4—21no—
1813C4—24no—
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—24no—
1819C4—21no—
1820C4—21no—
1821C4—21no—
1822C4—24no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—44no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4C2×#57812yes—
1836C4C2×#57812yes—
1837C4H(7,𝔽2)12yes—
1838C2—22no—
1839C2—41no—
1840C2—41no—
1841C2—44no—
1842C2—82no—
1843C2—84no—
1844C2#6285211yescharacteristic
1845C2C22×#57811yescharacteristic
1846C2#6309011yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#529 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62831C2semidirect
2. C2×#3554C2semidirect
3. #62619C2semidirect
4. #62560C2semidirect
5. #62464C2semidirect
6. #62439C2semidirect
7. #62072C2semidirect
8. #62069C2semidirect
9. #62046C2semidirect
10. #62043C2semidirect
11. #61893C2semidirect
12. #61892C2semidirect
13. #61885C2semidirect
14. #61884C2semidirect
15. #61603C2semidirect
16. #61595C2semidirect
17. #61588C2semidirect
18. #61584C2semidirect
19. #61566C2semidirect
20. #61563C2semidirect
21. #60981C2semidirect
22. #60952C2semidirect
23. #60943C2semidirect
24. #60814C2semidirect
25. #60804C2semidirect
26. #60782C2semidirect
27. #60290C2semidirect
31. #3555C22semidirect
40. #3554C22semidirect
41. #3552C22semidirect
42. #3544C22semidirect
45. #3523C22semidirect
46. #3522C22semidirect
48. #3518C22semidirect
50. #3515C22semidirect
79. #3400C22semidirect
80. #3400C22semidirect
81. #3400C22semidirect
82. #3398C22semidirect
83. #3396C22semidirect
84. #3395C22semidirect
85. #3395C22semidirect
86. #3394C22semidirect
87. #3375C22semidirect
88. #3375C22semidirect
89. #3374C22semidirect
90. #3372C22semidirect
91. #3365C22semidirect
92. #3363C22semidirect
93. #3363C22semidirect
94. #3361C22semidirect
95. #3333C22semidirect
96. #3333C22semidirect
97. #3330C22semidirect
98. #3329C22semidirect
99. #3328C22semidirect
100. #3327C22semidirect
101. #3315C22semidirect
102. #3315C22semidirect
103. #3313C22semidirect
104. #3308C22semidirect
105. #3305C22semidirect
106. #3304C22semidirect
107. #3302C22semidirect
108. #3300C22semidirect
109. #3299C22semidirect
110. #3299C22semidirect
111. #3287C22semidirect
112. D4×Q16C22semidirect
113. D4×Q16C22semidirect
114. #3285C22semidirect
115. #3284C22semidirect
116. #3283C22semidirect
117. #3278C22semidirect
118. #3278C22semidirect
119. #3278C22semidirect
120. #3277C22semidirect
121. #3276C22semidirect
122. #3276C22semidirect
123. #3270C22semidirect
124. #3269C22semidirect
125. #3269C22semidirect
126. #3269C22semidirect
127. #3262C22semidirect
128. #3258C22semidirect
129. #3255C22semidirect
130. #3254C22semidirect
131. #3249C22semidirect
132. #3249C22semidirect
133. #3243C22semidirect
135. #3237C22semidirect
137. #3230C22semidirect
138. #3225C22semidirect
139. #3225C22semidirect
140. #3225C22semidirect
141. #3223C22semidirect
142. #3223C22semidirect
145. #3216C22semidirect
146. #3216C22semidirect
149. #3212C22semidirect
152. #3210C22semidirect
153. #3210C22semidirect
154. #3210C22semidirect
160. #3209C22semidirect
164. #3207C22semidirect
175. #3178C22semidirect
176. #3175C22semidirect
177. #3172C22semidirect
178. #3170C22semidirect
179. #3156C22semidirect
180. #3152C22semidirect
181. #3147C22semidirect
182. #3141C22semidirect
183. #3137C22semidirect
184. #3131C22semidirect
185. #3124C22semidirect
186. #3121C22semidirect
189. #3107C22semidirect
198. #3104C22semidirect
201. #3046C22semidirect
202. #3044C22semidirect
203. #3037C22semidirect
204. #3035C22semidirect
211. #2994C22semidirect
212. #2993C22semidirect
218. #2969C22semidirect
219. #2966C22semidirect

Maximal subgroups

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

subgroupindex
#628312
C2×#35542
#626192
#625602
#624642
#624392
#620722
#620692
#620462
#620432
#618932
#618922
#618852
#618842
#616032
#615952
#615882
#615842
#615662
#615632
#609812
#609522
#609432
#608142
#608042
#607822
#602902