Finite Group Databasebeta

← #10579592

Subgroups — #10579592

Order 512.

6192 conjugacy classes of subgroups.

The subgroup lattice has 1823 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62835C211yesmaximal, characteristic, complemented
2#62793C211yesmaximal, characteristic, complemented
3#62222C214yesmaximal, complemented
4#62219C214yesmaximal, complemented
5#62197C218yesmaximal, complemented
6#62150C212yesmaximal, complemented
7#62145C212yesmaximal, complemented
8#62136C212yesmaximal, complemented
9#62132C212yesmaximal, complemented
10#62117C214yesmaximal, complemented
11#62102C214yesmaximal, complemented
12#61371C212yesmaximal, complemented
13#61325C212yesmaximal, complemented
14#61284C212yesmaximal, complemented
15#61276C214yesmaximal, complemented
16#61213C212yesmaximal, complemented
17#61189C214yesmaximal, complemented
18#60922C212yesmaximal, complemented
19#60916C211yesmaximal, characteristic, complemented
20#60892C212yesmaximal, complemented
21#60846C211yesmaximal, characteristic, complemented
22#60593C212yesmaximal, complemented
23C2×#3106C211yesmaximal, characteristic, complemented
24#60498C212yesmaximal, complemented
25#60484C211yesmaximal, characteristic, complemented
26#60268C211yesmaximal, characteristic, complemented
27#3561—22no—
28#3559C2214yescomplemented
29#3554—22no—
30#3550—21no—
31#3548—21no—
32#3547C2214yescomplemented
33#3536—22no—
34#3524—22no—
35#3524C2214yescomplemented
36#3522—22no—
37#3520—22no—
38#3518—21no—
39#3518C2212yescomplemented
40#3517—21no—
41#3517C2212yescomplemented
42#3511C2214yescomplemented
43#3511C2212yescomplemented
44#3508C2212yes—
45#3507—21no—
46#3506—22no—
47#3506C2211yescharacteristic
48#3506C2212yes—
49#3506C2211yescharacteristic
50#3503C2212yes—
51#3502C2211yescharacteristic
52#3501C2212yes—
53#3499C2212yescomplemented
54#3497—21no—
55#3497C2211yescharacteristic
56#3494C2214yes—
57#3493—22no—
58#3493C2212yes—
59#3489—22no—
60#3487C2212yes—
61#3483—21no—
62#3483C2212yescomplemented
63#3482—21no—
64#3482C2212yescomplemented
65#3480—22no—
66#3480C2214yescomplemented
67#3460—22no—
68#3460C2212yes—
69#3444—22no—
70#3444C2211yescharacteristic
71#3444C2211yescharacteristic
72C2×#533C2211yescharacteristic
73C2×#532C2211yescharacteristic
74C4×2−1+4C2212yes—
75C2×C4×#41C2211yescharacteristic
76#3388C2218yescomplemented
77#3386C2214yescomplemented
78#3385C2214yescomplemented
79#3381C2214yescomplemented
80#3381C2218yescomplemented
81Q8×SD16C2214yescomplemented
82#3370C2218yescomplemented
83#3367C2214yescomplemented
84#3366C2214yescomplemented
85#3361C2218yescomplemented
86#3360C2214yescomplemented
87#3358C2214yescomplemented
88#3355C2218yescomplemented
89#3354C2214yescomplemented
90#3354C2214yescomplemented
91#3354C2218yescomplemented
92#3351C2218yescomplemented
93#3350C2218yescomplemented
94#3347C2218yescomplemented
95#3347C2218yescomplemented
96#3343C2218yescomplemented
97#3341C2214yescomplemented
98#3340C2218yescomplemented
99#3339C2218yescomplemented
100#3339C2218yescomplemented
101#3334C2214yescomplemented
102#3332C2218yescomplemented
103#3332C2214yescomplemented
104#3329C2214yescomplemented
105#3326C2218yescomplemented
106#3326C2218yescomplemented
107#3321C2218yescomplemented
108#3309C2218yescomplemented
109#3309C2218yescomplemented
110#3308C2218yescomplemented
111#3305C2218yescomplemented
112#3305C2214yescomplemented
113#3301C2218yescomplemented
114#3301C2218yescomplemented
115#3298C2214yescomplemented
116#3259C2218yescomplemented
117#3257C2218yescomplemented
118#3254C2212yescomplemented
119#3253C2214yescomplemented
120#3253C2212yescomplemented
121#3251C2214yescomplemented
122#3251C2214yescomplemented
123#3247C2214yescomplemented
124#3247C2214yescomplemented
125#3246C2212yescomplemented
126#3245C2212yescomplemented
127#3245C2214yescomplemented
128#3244C2218yescomplemented
129#3241C2218yescomplemented
130#3238C2214yescomplemented
131#3235C2214yescomplemented
132#3233C2212yescomplemented
133#3233C2214yescomplemented
134#3233C2212yescomplemented
135#3232C2214yescomplemented
136#3231C2212yescomplemented
137#3230C2211yescharacteristic, complemented
138#3229C2211yescharacteristic, complemented
139#3228C2212yescomplemented
140#3227C2214yescomplemented
141#3227C2211yescharacteristic, complemented
142#3226C2211yescharacteristic, complemented
143#3163C2214yes—
144#3160C2212yes—
145#3136C2214yes—
146#3131C2212yes—
147#3126C2218yescomplemented
148#3119C2218yescomplemented
149#3115C2214yescomplemented
150#3112C2214yescomplemented
151#3106C2214yes—
152#3106C2212yes—
153#3106C2212yes—
154#3106C2212yes—
155#3106C2212yes—
156#3106C2214yes—
157#3106C2214yescomplemented
158#3103C2214yescomplemented
159#3099C2214yes—
160#3096C2214yes—
161#3096C2214yes—
162#3091C2214yes—
163C2×#482C2212yes—
164#3083C2214yes—
165#3083C2218yescomplemented
166#3082C2214yes—
167#3082C2218yescomplemented
168#3081C2214yes—
169#3080C2214yescomplemented
170#3079C2212yes—
171#3079C2212yescomplemented
172#3079C2212yescomplemented
173#3079C2214yescomplemented
174#3078C2212yes—
175#3078C2212yes—
176#3078C2214yescomplemented
177#3077C2212yes—
178#3077C2212yes—
179#3077C2212yes—
180#3076C2212yes—
181#3076C2212yes—
182#3076C2214yescomplemented
183#3076C2214yescomplemented
184#3076C2214yescomplemented
185C2×#477C2211yescharacteristic
186C2×#477C2214yescomplemented
187C2×#476C2211yescharacteristic
188#3062C2214yes—
189#3058C2214yes—
190#3055C2214yes—
191#3041C2214yes—
192#3038C2212yes—
193#3036C2212yes—
194C2×#460C2211yescharacteristic
195C2×#459C2211yescharacteristic
196#3010C2214yes—
197C2×#449C2212yes—
198#2994C2214yescomplemented
199#2993C2214yescomplemented
200#2991C2212yescomplemented
201#2990C2212yescomplemented
202#2989C2212yescomplemented
203#2988C2212yescomplemented
204#2960C2212yes—
205#2949C2214yes—
206#2946C2214yes—
207C2×C4×SD16C2212yes—
208C2×C4×D8C2212yes—
209#2933C2214yes—
210#2931C2212yes—
211#2925C2212yes—
212C2×#431C2211yescharacteristic
213#2913C2214yes—
214#2911C2212yes—
215#2906C2212yes—
216C2×#423C2211yescharacteristic
217#2898C2214yes—
218#2896C2212yes—
219C2×2−1+4—22no—
220C2×2−1+4C2312yes—
221C22×#41—21no—
222C22×#41C2311yescharacteristic
223C2×AGL(1,ℤ/8)C2314yes—
224C22×SD16C2312yes—
225C22×D8C2312yes—
226C2×#131C2314yes—
227C22×M16C2312yes—
228#563—24no—
229#562—24no—
230#562—28no—
231#559—22no—
232#559—24no—
233#559—24no—
234#559—22no—
235#559—22no—
236#559—24no—
237#559C2314yes—
238Q82—21no—
239Q82—22no—
240Q82C2312yes—
241#557—21no—
242#557—22no—
243#557—22no—
244#557C2312yes—
245#557C2314yes—
246#556—21no—
247#556—22no—
248#556—24no—
249#556—22no—
250#556—22no—
251#556—24no—
252#556—24no—
253#556—22no—
254#556—22no—
255#556C2312yes—
256#556C2314yes—
257#555—21no—
258#555—24no—
259#555—22no—
260#555—22no—
261#555—24no—
262#555—22no—
263#555C2314yes—
264#555C2318yes—
265#555C2312yes—
266#555C2314yes—
267#554—22no—
268#554—24no—
269#554—24no—
270#554—22no—
271#554C2314yes—
272#554C2318yes—
273#553—24no—
274#553—22no—
275#553—24no—
276#553—22no—
277#553—24no—
278#553—24no—
279#553C2314yes—
280#553C2314yes—
281#553C2318yes—
282#553C2318yes—
283#553C2318yes—
284#552—24no—
285#552—24no—
286#552—22no—
287#552—24no—
288#552C2314yes—
289#551—28no—
290#550—22no—
291#550—21no—
292#550—21no—
293#550—22no—
294#550—22no—
295#550—22no—
296#550—22no—
297#550—22no—
298#550—22no—
299#550C2314yes—
300#550C2312yes—
301#550C2314yes—
302#550C2312yes—
303D4×Q8—21no—
304D4×Q8—22no—
305D4×Q8—22no—
306D4×Q8—24no—
307D4×Q8—22no—
308D4×Q8C2312yes—
309D4×Q8C2314yes—
310#548—22no—
311#548—24no—
312#548—22no—
313#548—22no—
314#548—24no—
315#548—24no—
316#548—24no—
317#548C2314yes—
318#548C2314yes—
319#548C2314yes—
320#547—22no—
321#547—21no—
322#547—28no—
323#547—22no—
324#547—24no—
325#547—22no—
326#547—24no—
327#547—22no—
328#547C2314yes—
329#547C2318yes—
330#547C2312yes—
331#546—28no—
332#546—24no—
333#546—24no—
334#544—22no—
335#544C2312yes—
336#544C2314yes—
337#544C2318yes—
338#543—24no—
339#542—28no—
340#542—24no—
341#542—24no—
342#542—24no—
343#542—22no—
344#542—24no—
345#542—24no—
346#542—24no—
347#542C2314yes—
348#540—24no—
349#540—24no—
350#540—24no—
351#540—22no—
352#540C2318yes—
353#540C2314yes—
354#539—28no—
355#539—24no—
356#538—22no—
357#538—22no—
358#538—24no—
359#538—24no—
360#538—24no—
361#537—22no—
362#537—24no—
363#537—22no—
364#537—24no—
365#537—24no—
366#537C2312yes—
367#536—24no—
368#536—22no—
369#536—24no—
370#535—24no—
371#535C2312yes—
372#535C2312yes—
373#535C2314yes—
374#533—22no—
375#533—22no—
376#533—22no—
377#533—21no—
378#533—21no—
379#533—21no—
380#533—21no—
381#533D411yescharacteristic
382#533D411yescharacteristic
383#533C2311yescharacteristic
384#533C2311yescharacteristic
385#533C2312yes—
386#533C2312yes—
387#533C2312yes—
388#533C2314yes—
389#533C2311yescharacteristic
390#533C2312yes—
391#533C2311yescharacteristic
392#532—24no—
393#532—22no—
394#532—22no—
395#532—24no—
396#532—22no—
397#532—24no—
398#532—22no—
399#532—21no—
400#532—21no—
401#532—21no—
402#532—21no—
403#532D411yescharacteristic
404#532D411yescharacteristic
405#532C2311yescharacteristic
406#532C2314yes—
407#532C2312yes—
408#532C2312yes—
409#532C2312yes—
410#532C2312yes—
411#532C2314yes—
412#532C2311yescharacteristic
413#532C2311yescharacteristic
414#532C2314yes—
415#532C2311yescharacteristic
416C2×C4⋊Q8C2311yescharacteristic
417C2×C4⋊Q8C2314yes—
418C2×C4⋊Q8C2311yescharacteristic
419C2×C4⋊Q8C2311yescharacteristic
420C2×#127C2311yescharacteristic
421#529—24no—
422#529—24no—
423#529—22no—
424#529—22no—
425#529—24no—
426#529—24no—
427#529—22no—
428#529—24no—
429#529—24no—
430#529—24no—
431#529—21no—
432#529—21no—
433#529—21no—
434#529—21no—
435#529D412yes—
436#529D412yes—
437#529D412yes—
438#529D412yes—
439#529C2312yes—
440#529C2312yes—
441#529C2314yes—
442#529C2312yes—
443#529C2312yes—
444C2×#125C2312yes—
445C2×#124—21no—
446#525—21no—
447#525—21no—
448#525—24no—
449#525—22no—
450#525—22no—
451#525—24no—
452#525—24no—
453#525D412yes—
454#525D412yes—
455#525C2312yes—
456#525C2312yes—
457C2×C22⋊Q8—21no—
458C2×C22⋊Q8—21no—
459C2×C22⋊Q8—24no—
460C2×#121—21no—
461C2×#121C2312yes—
462#520—24no—
463#520—22no—
464#520—22no—
465#520—24no—
466#520C2312yes—
467#520C2314yes—
468#520C2312yes—
469#520C2314yes—
470#519—22no—
471#519C2312yes—
472#519C2314yes—
473#518C2314yes—
474C4×#41—22no—
475C4×#41—24no—
476C4×#41—22no—
477C4×#41—22no—
478C4×#41—24no—
479C4×#41—21no—
480C4×#41—21no—
481C4×#41—21no—
482C4×#41—21no—
483C4×#41—21no—
484C4×#41—21no—
485C4×#41C2312yes—
486C4×#41C2312yes—
487C4×#41C2312yes—
488C4×#41C2314yes—
489C4×#41C2312yes—
490C4×#41C2312yes—
491C4×#41C2312yes—
492C4×#41C2312yes—
493C4×#41C2312yes—
494C2×C4×Q8—22no—
495C2×C4×Q8—21no—
496C2×C4×Q8—21no—
497C2×C4×Q8C2311yescharacteristic
498C2×C4×Q8C2314yes—
499C2×C4×Q8C2311yescharacteristic
500C2×C4×D4—21no—
501C2×C4×D4—21no—
502C2×C4×D4—21no—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×#117—21no—
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C22×C42—21no—
510C22×C42C2311yescharacteristic
511#501C2318yes—
512#501C2318yes—
513#500C2312yes—
514#500C2312yes—
515#499C2314yes—
516#499C2318yes—
517#499C2314yes—
518#498C2318yes—
519#498C2312yes—
520#498C2312yes—
521#490C2318yes—
522#489C2318yes—
523#488C2318yes—
524#488C2314yes—
525#488C2314yes—
526#487C2312yes—
527#487C2312yes—
528#486C2312yes—
529#486C2318yes—
530#486C2312yes—
531#485C2318yes—
532#485C2314yes—
533#485C2314yes—
534#484C2314yes—
535#483C2318yes—
536#483C2314yes—
537#482C2314yes—
538#482C2314yes—
539#482C2318yes—
540#482C2318yes—
541#482C2318yes—
542#482C2318yes—
543#482C2314yes—
544#482C2314yes—
545#482C2314yes—
546#482C2314yes—
547#482C2318yes—
548#481C2314yes—
549#481C2318yes—
550#481C2318yes—
551#481C2318yes—
552#480C2318yes—
553#480C2318yes—
554#480C2314yes—
555#479C2314yes—
556#479C2314yes—
557#479C2318yes—
558#479C2318yes—
559#479C2318yes—
560#479C2318yes—
561#479C2318yes—
562#478C2314yes—
563#478C2314yes—
564#478C2318yes—
565#478C2318yes—
566#478C2318yes—
567#478C2318yes—
568#478C2318yes—
569#478C2318yes—
570#477C2314yes—
571#477C2312yes—
572#477C2312yes—
573#477C2314yes—
574#477C2312yes—
575#477C2314yes—
576#477C2314yes—
577#477C2318yes—
578#477C2318yes—
579#477C2312yes—
580#476C2312yes—
581#476C2312yes—
582#476C2314yes—
583#476C2314yes—
584#476C2314yes—
585#476C2314yes—
586#476C2318yes—
587#476C2312yes—
588#476C2312yes—
589#476C2314yes—
590#475C2312yes—
591#475C2312yes—
592#475C2314yes—
593#475C2314yes—
594#475C2318yes—
595#475C2314yes—
596#474C2312yes—
597#474C2312yes—
598#474C2314yes—
599#474C2314yes—
600#474C2314yes—
601#474C2314yes—
602#474C2318yes—
603#474C2318yes—
604#469C2318yes—
605#469C2318yes—
606#469C2318yes—
607#469C2318yes—
608#468C2318yes—
609#468C2318yes—
610#466C2318yes—
611#466C2318yes—
612#466C2318yes—
613#466C2318yes—
614#465C2318yes—
615#465C2318yes—
616#463C2318yes—
617#463C2318yes—
618#463C2318yes—
619#461C2314yes—
620#460C2312yes—
621#460C2314yes—
622#460C2312yes—
623#460C2314yes—
624#460C2314yes—
625#459C2314yes—
626#459C2318yes—
627#459C2318yes—
628#459C2312yes—
629#459C2312yes—
630#459C2314yes—
631#459C2314yes—
632#459C2314yes—
633#449C2314yes—
634#449C2318yes—
635#449C2314yes—
636#449C2314yes—
637#449C2314yes—
638#449C2318yes—
639#448C2318yes—
640#448C2318yes—
641#446C2314yes—
642#446C2314yes—
643C8×Q8C2314yes—
644C8×Q8C2314yes—
645#442C2318yes—
646#440C2318yes—
647#440C2318yes—
648#440C2318yes—
649C4×SD16C2314yes—
650C4×SD16C2318yes—
651C4×SD16C2318yes—
652C4×SD16C2318yes—
653C4×SD16C2314yes—
654C4×SD16C2314yes—
655C4×SD16C2314yes—
656C4×D8C2314yes—
657C4×D8C2314yes—
658C4×D8C2318yes—
659C4×D8C2314yes—
660C4×D8C2314yes—
661#436C2314yes—
662#436C2318yes—
663#436C2314yes—
664#435C2318yes—
665#435C2318yes—
666C8×D4C2314yes—
667C8×D4C2314yes—
668C8×D4C2318yes—
669#433C2318yes—
670#432C2314yes—
671#431C2314yes—
672#431C2311yescharacteristic
673#431C2311yescharacteristic
674#431C2312yes—
675#431C2312yes—
676#431C2311yescharacteristic
677#431C2311yescharacteristic
678#428C2314yes—
679#428C2314yes—
680#428C2314yes—
681#428C2318yes—
682#428C2314yes—
683#428C2314yes—
684#428C2318yes—
685#427C2314yes—
686#427C2314yes—
687#427C2318yes—
688#427C2318yes—
689C2×#107C2312yes—
690C2×#107C2318yes—
691C2×#106C2312yes—
692#424C2314yes—
693#424C2318yes—
694#423C2312yes—
695#423C2312yes—
696#423C2314yes—
697#423C2312yes—
698#423C2312yes—
699C2×C4⋊C8C2311yescharacteristic
700C2×C4⋊C8C2314yes—
701C2×C4⋊C8C2311yescharacteristic
702C2×C4⋊C8C2312yes—
703C2×C4⋊C8C2312yes—
704#419C2318yes—
705#419C2314yes—
706#418C2314yes—
707#418C2314yes—
708#417C2314yes—
709#417C2318yes—
710#417C2314yes—
711#417C2314yes—
712#416C2314yes—
713#416C2314yes—
714#416C2318yes—
715#416C2318yes—
716C2×#103C2312yes—
717C2×#103C2318yes—
718C2×#102C2312yes—
719C2×#102C2312yes—
720C2×#102C2312yes—
721#408C2314yes—
722C2×C22⋊C8C2312yes—
723#405C2314yes—
724C2×C4×C8C2312yes—
7252−1+4—28no—
7262−1+4—44no—
7272−1+4—88no—
728C2×#41—22no—
729C2×#41—24no—
730C2×#41—22no—
731C2×#41—22no—
732C2×#41—24no—
733C2×#41—28no—
734C2×#41—21no—
735C2×#41—21no—
736C2×#41—22no—
737C2×#41—21no—
738C2×#41—24no—
739C2×#41—21no—
740C2×#41—24no—
741C2×#41—22no—
742C2×#41—22no—
743C2×#41—22no—
744C2×#41—24no—
745C2×#41—24no—
746C2×#41—42no—
747C2×#41—84no—
748C2×#41C2×D412yes—
749C2×#41C2×D412yes—
750C2×#41C2412yes—
751C2×#41C2412yes—
752C2×#41C2412yes—
753C2×#41C2414yes—
754C2×#41C2412yes—
755C22×Q8—22no—
756C22×Q8—24no—
757C22×Q8—21no—
758C22×Q8—21no—
759C22×Q8—21no—
760C22×Q8—24no—
761C22×Q8C2414yes—
762C22×Q8C2411yescharacteristic
763C22×D4—21no—
764C22×D4—22no—
765C22×D4—21no—
766C22×D4—21no—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C23×C4—21no—
770C23×C4—22no—
771C23×C4—21no—
772C23×C4—21no—
773C23×C4C2×D411yescharacteristic
774C23×C4C2×D411yescharacteristic
775C23×C4C2411yescharacteristic
776AGL(1,ℤ/8)—48no—
777C2×SD16—28no—
778C2×SD16C2414yes—
779C2×SD16C2414yes—
780C2×SD16C2418yes—
781C2×D8—44no—
782C2×D8C2414yes—
783C2×D8C2414yes—
784C2×D8C2418yes—
785#131—48no—
786C2×M16—44no—
787C2×M16C2414yes—
788C2×M16C2414yes—
789C2×M16C2418yes—
790C22×C8C2412yes—
791C22×C8C2412yes—
792C22×C8C2414yes—
793C22×C8C2418yes—
794C4⋊Q8—22no—
795C4⋊Q8—24no—
796C4⋊Q8—22no—
797C4⋊Q8—22no—
798C4⋊Q8—24no—
799C4⋊Q8—24no—
800C4⋊Q8—22no—
801C4⋊Q8—28no—
802C4⋊Q8—21no—
803C4⋊Q8—21no—
804C4⋊Q8—21no—
805C4⋊Q8—21no—
806C4⋊Q8—21no—
807C4⋊Q8—21no—
808C4⋊Q8—24no—
809C4⋊Q8—24no—
810C4⋊Q8C2×D411yescharacteristic
811C4⋊Q8C2×D411yescharacteristic
812C4⋊Q8C2×D411yescharacteristic
813C4⋊Q8C2411yescharacteristic
814C4⋊Q8C2412yes—
815C4⋊Q8C2412yes—
816C4⋊Q8C2412yes—
817C4⋊Q8C2412yes—
818C4⋊Q8C2412yes—
819C4⋊Q8C2412yes—
820C4⋊Q8C2418yes—
821C4⋊Q8C2411yescharacteristic
822C4⋊Q8C2411yescharacteristic
823C4⋊Q8C2414yes—
824#127—22no—
825#127—24no—
826#127—24no—
827#127—24no—
828#127—22no—
829#127—21no—
830#127—21no—
831#127C2×D411yescharacteristic
832#127C2412yes—
833#127C2412yes—
834#127C2411yescharacteristic
835#127C2414yes—
836#126—24no—
837#126—24no—
838#126—24no—
839#126—24no—
840#126—28no—
841#126—28no—
842#126—28no—
843#126—24no—
844#126—24no—
845#126—24no—
846#126—22no—
847#126—22no—
848#126—24no—
849#126C2×D414yes—
850#126C2×D414yes—
851#125—24no—
852#125—24no—
853#125—24no—
854#125—24no—
855#125—22no—
856#125—24no—
857#125—28no—
858#125—22no—
859#125—22no—
860#125—21no—
861#125—21no—
862#125C2×D412yes—
863#125C2×D412yes—
864#125C2×D412yes—
865#125C2414yes—
866#125C2414yes—
867#125C2412yes—
868#125C2414yes—
869#125C2418yes—
870#124—22no—
871#124—24no—
872#124—24no—
873#124—24no—
874#124—24no—
875#124—24no—
876#124—24no—
877#124—24no—
878#124—24no—
879#124—24no—
880#124—24no—
881#124—28no—
882#124—28no—
883#124—28no—
884#124—22no—
885#124—22no—
886#124—22no—
887#124—22no—
888#124—21no—
889#124—21no—
890#124—24no—
891#124—24no—
892#124—24no—
893#124C2×D412yes—
894#124C2×D412yes—
895#124C2×D412yes—
896#124C2412yes—
897#124C2414yes—
898#123—24no—
899#123—22no—
900#123—22no—
901#123—22no—
902#123—24no—
903#123—24no—
904#123—24no—
905#123—24no—
906#123—24no—
907#123—28no—
908#123—28no—
909#123—24no—
910#123—24no—
911#123—28no—
912#123—28no—
913#123—24no—
914#123—24no—
915#123—28no—
916#123—28no—
917#123—28no—
918#123—28no—
919#123C2×D414yes—
920#123C2×D414yes—
921#123C2×D414yes—
922C22⋊Q8—24no—
923C22⋊Q8—22no—
924C22⋊Q8—22no—
925C22⋊Q8—28no—
926C22⋊Q8—22no—
927C22⋊Q8—22no—
928C22⋊Q8—22no—
929C22⋊Q8—22no—
930C22⋊Q8—22no—
931C22⋊Q8—22no—
932C22⋊Q8—22no—
933C22⋊Q8—22no—
934C22⋊Q8—21no—
935C22⋊Q8—21no—
936C22⋊Q8—21no—
937C22⋊Q8—21no—
938C22⋊Q8—24no—
939C22⋊Q8—24no—
940C22⋊Q8—24no—
941C22⋊Q8—28no—
942C22⋊Q8—24no—
943C22⋊Q8—22no—
944C22⋊Q8—24no—
945C22⋊Q8—24no—
946C22⋊Q8—24no—
947C22⋊Q8—24no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—24no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8C2×D412yes—
958C22⋊Q8C2×D412yes—
959C22⋊Q8C2×D412yes—
960C22⋊Q8C2×D412yes—
961C22⋊Q8C2×D412yes—
962C22⋊Q8C2×D412yes—
963C22⋊Q8C2412yes—
964C22⋊Q8C2412yes—
965C22⋊Q8C2414yes—
966#121—24no—
967#121—22no—
968#121—24no—
969#121—24no—
970#121—24no—
971#121—28no—
972#121—24no—
973#121—22no—
974#121—24no—
975#121—24no—
976#121—24no—
977#121—28no—
978#121—28no—
979#121—28no—
980#121—22no—
981#121—22no—
982#121—22no—
983#121—22no—
984#121—22no—
985#121—22no—
986#121—21no—
987#121—21no—
988#121—21no—
989#121—21no—
990#121—24no—
991#121—24no—
992#121—24no—
993#121—22no—
994#121—22no—
995#121—22no—
996#121—24no—
997#121—24no—
998#121—24no—
999#121—24no—
1000#121—24no—
1001#121—24no—
1002#121—24no—
1003#121—24no—
1004#121—28no—
1005#121—28no—
1006#121C2×D412yes—
1007#121C2×D412yes—
1008#121C2×D412yes—
1009#121C2×D412yes—
1010#121C2×D412yes—
1011#121C2×D412yes—
1012#121C2414yes—
1013#121C2414yes—
1014#121C2412yes—
1015#121C2412yes—
1016#121C2414yes—
1017#121C2418yes—
1018#121C2418yes—
1019#121C2414yes—
1020#121C2414yes—
1021#120—22no—
1022#120—24no—
1023#120—28no—
1024#120—24no—
1025#120C2×D414yes—
1026C4×Q8—22no—
1027C4×Q8—22no—
1028C4×Q8—24no—
1029C4×Q8—22no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—22no—
1033C4×Q8—22no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—21no—
1037C4×Q8—24no—
1038C4×Q8—22no—
1039C4×Q8—22no—
1040C4×Q8—22no—
1041C4×Q8—22no—
1042C4×Q8—22no—
1043C4×Q8—22no—
1044C4×Q8—22no—
1045C4×Q8—22no—
1046C4×Q8—21no—
1047C4×Q8—21no—
1048C4×Q8—21no—
1049C4×Q8—24no—
1050C4×Q8—21no—
1051C4×Q8—21no—
1052C4×Q8—21no—
1053C4×Q8—21no—
1054C4×Q8—24no—
1055C4×Q8—24no—
1056C4×Q8C2×D412yes—
1057C4×Q8C2×D412yes—
1058C4×Q8C2×D412yes—
1059C4×Q8C2×D412yes—
1060C4×Q8C2412yes—
1061C4×Q8C2412yes—
1062C4×Q8C2412yes—
1063C4×Q8C2412yes—
1064C4×Q8C2412yes—
1065C4×Q8C2414yes—
1066C4×Q8C2414yes—
1067C4×Q8C2412yes—
1068C4×Q8C2414yes—
1069C4×Q8C2412yes—
1070C4×Q8C2412yes—
1071C4×D4—24no—
1072C4×D4—22no—
1073C4×D4—22no—
1074C4×D4—28no—
1075C4×D4—24no—
1076C4×D4—22no—
1077C4×D4—22no—
1078C4×D4—22no—
1079C4×D4—22no—
1080C4×D4—22no—
1081C4×D4—22no—
1082C4×D4—22no—
1083C4×D4—22no—
1084C4×D4—22no—
1085C4×D4—24no—
1086C4×D4—22no—
1087C4×D4—24no—
1088C4×D4—22no—
1089C4×D4—22no—
1090C4×D4—22no—
1091C4×D4—22no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—24no—
1096C4×D4—22no—
1097C4×D4—24no—
1098C4×D4—24no—
1099C4×D4—24no—
1100C4×D4—24no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—24no—
1107C4×D4—28no—
1108C4×D4—28no—
1109C4×D4—28no—
1110C4×D4—22no—
1111C4×D4—22no—
1112C4×D4—22no—
1113C4×D4—22no—
1114C4×D4—21no—
1115C4×D4—21no—
1116C4×D4—21no—
1117C4×D4—21no—
1118C4×D4—22no—
1119C4×D4—22no—
1120C4×D4—21no—
1121C4×D4—24no—
1122C4×D4—21no—
1123C4×D4—21no—
1124C4×D4—21no—
1125C4×D4—24no—
1126C4×D4—24no—
1127C4×D4C2×D414yes—
1128C4×D4C2×D412yes—
1129C4×D4C2×D412yes—
1130C4×D4C2×D414yes—
1131C4×D4C2×D412yes—
1132C4×D4C2×D414yes—
1133C4×D4C2×D414yes—
1134C4×D4C2×D412yes—
1135C4×D4C2412yes—
1136C4×D4C2412yes—
1137C4×D4C2412yes—
1138C4×D4C2412yes—
1139C4×D4C2414yes—
1140C4×D4C2414yes—
1141C4×D4C2412yes—
1142C4×D4C2412yes—
1143C4×D4C2414yes—
1144C4×D4C2418yes—
1145C4×D4C2418yes—
1146C4×D4C2414yes—
1147C4×D4C2414yes—
1148C4×D4C2412yes—
1149C4×D4C2412yes—
1150#117—21no—
1151#117—21no—
1152#117—22no—
1153#117—22no—
1154#117—21no—
1155#117—21no—
1156#117—24no—
1157#117—22no—
1158#117—22no—
1159#117—22no—
1160#117—24no—
1161#117—24no—
1162#117—28no—
1163#117—24no—
1164#117—24no—
1165#117—24no—
1166#117—24no—
1167#117—22no—
1168#117—22no—
1169#117—22no—
1170#117—22no—
1171#117—22no—
1172#117—24no—
1173#117—22no—
1174#117—22no—
1175#117—24no—
1176#117C2×D414yes—
1177#117C2×D412yes—
1178#117C2×D412yes—
1179#117C2×D414yes—
1180#117C2412yes—
1181#117C2412yes—
1182#117C2414yes—
1183#117C2414yes—
1184#117C2412yes—
1185#117C2414yes—
1186#117C2418yes—
1187#117C2412yes—
1188#117C2414yes—
1189C2×C4⋊C4—21no—
1190C2×C4⋊C4—21no—
1191C2×C4⋊C4—21no—
1192C2×C4⋊C4—21no—
1193C2×C4⋊C4—22no—
1194C2×C4⋊C4—22no—
1195C2×C4⋊C4—21no—
1196C2×C4⋊C4—24no—
1197C2×C4⋊C4—24no—
1198C2×C4⋊C4—24no—
1199C2×C4⋊C4—22no—
1200C2×C4⋊C4—24no—
1201C2×C4⋊C4—28no—
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2411yescharacteristic
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2414yes—
1208C2×C4⋊C4C2418yes—
1209C2×C22⋊C4—21no—
1210C2×C22⋊C4—22no—
1211C2×C22⋊C4—21no—
1212C2×C22⋊C4—21no—
1213C2×C22⋊C4—22no—
1214C2×C22⋊C4—22no—
1215C2×C22⋊C4—28no—
1216C2×C42—21no—
1217C2×C42—22no—
1218C2×C42—21no—
1219C2×C42—21no—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42—22no—
1223C2×C42—22no—
1224C2×C42—22no—
1225C2×C42—22no—
1226C2×C42—22no—
1227C2×C42C2×D411yescharacteristic
1228C2×C42C2×D411yescharacteristic
1229C2×C42C2×D411yescharacteristic
1230C2×C42C2×D411yescharacteristic
1231C2×C42C2×D411yescharacteristic
1232C2×C42C2×D411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2414yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240#107C2414yes—
1241#107C2414yes—
1242#107C2418yes—
1243#107C2414yes—
1244#107C2418yes—
1245#107C2414yes—
1246#107C2418yes—
1247#107C2414yes—
1248#107C2414yes—
1249#106C2414yes—
1250#106C2414yes—
1251#106C2418yes—
1252#106C2418yes—
1253#106C2418yes—
1254#106C2414yes—
1255#106C2414yes—
1256#106C2414yes—
1257#106C2414yes—
1258C4⋊C8C2411yescharacteristic
1259C4⋊C8C2414yes—
1260C4⋊C8C2411yescharacteristic
1261C4⋊C8C2414yes—
1262C4⋊C8C2414yes—
1263C4⋊C8C2414yes—
1264C4⋊C8C2412yes—
1265C4⋊C8C2418yes—
1266C4⋊C8C2411yescharacteristic
1267C4⋊C8C2411yescharacteristic
1268C4⋊C8C2412yes—
1269C4⋊C8C2418yes—
1270#103C2414yes—
1271#103C2414yes—
1272#103C2418yes—
1273#103C2414yes—
1274#103C2418yes—
1275#103C2418yes—
1276#103C2414yes—
1277#103C2414yes—
1278#103C2414yes—
1279#102C2414yes—
1280#102C2414yes—
1281#102C2414yes—
1282#102C2414yes—
1283#102C2414yes—
1284#102C2414yes—
1285#102C2414yes—
1286#102C2414yes—
1287#102C2418yes—
1288#102C2418yes—
1289#102C2418yes—
1290#102C2414yes—
1291#102C2414yes—
1292#102C2418yes—
1293#102C2418yes—
1294C22⋊C8C2412yes—
1295C22⋊C8C2412yes—
1296C22⋊C8C2412yes—
1297C22⋊C8C2412yes—
1298C22⋊C8C2418yes—
1299C22⋊C8C2418yes—
1300#97C2418yes—
1301C4×C8C2412yes—
1302C4×C8C2412yes—
1303C4×C8C2412yes—
1304C4×C8C2412yes—
1305C4×C8C2418yes—
1306C24—22no—
1307C24—21no—
1308C24C22×D411yescharacteristic
1309#41—24no—
1310#41—24no—
1311#41—24no—
1312#41—24no—
1313#41—28no—
1314#41—24no—
1315#41—24no—
1316#41—44no—
1317#41—42no—
1318#41—42no—
1319#41—44no—
1320#41—44no—
1321#41—416no—
1322#41—44no—
1323#41—44no—
1324#41—48no—
1325#41—48no—
1326#41—82no—
1327#41—88no—
1328#41—84no—
1329#41—88no—
1330#41—82no—
1331#41—84no—
1332#41—88no—
1333#41—84no—
1334#41—816no—
1335#41—84no—
1336#41—84no—
1337#41—88no—
1338C2×Q8—21no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—21no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—21no—
1347C2×Q8—24no—
1348C2×Q8—28no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—28no—
1352C2×Q8—44no—
1353C2×Q8—44no—
1354C2×Q8—48no—
1355C2×Q8—82no—
1356C2×Q8—88no—
1357C2×Q8—82no—
1358C2×Q8—88no—
1359C2×Q8C22×D412yes—
1360C2×Q8C22×D412yes—
1361C2×Q8C22×D412yes—
1362C2×Q82−1+414yescomplemented
1363C2×Q8C2512yes—
1364C2×Q8C2512yes—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—21no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—21no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—44no—
1393C2×D4—82no—
1394C2×D4—82no—
1395C2×D4—84no—
1396C2×D4C22×D414yes—
1397C2×D4C22×D412yes—
1398C2×D4C22×D412yes—
1399C2×D4C22×D414yes—
1400C2×D4C22×D414yes—
1401C2×D4C22×D412yes—
1402C2×D4C2512yes—
1403C2×D4C2512yes—
1404C2×D4C2514yes—
1405C22×C4—21no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—28no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—28no—
1429C22×C4—28no—
1430C22×C4—24no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—82no—
1435C22×C4—82no—
1436C22×C4—84no—
1437C22×C4C22×D411yescharacteristic
1438C22×C4C22×D411yescharacteristic
1439C22×C4C22×D411yescharacteristic
1440C22×C4C22×D411yescharacteristic
1441C22×C4C22×D414yes—
1442C22×C4C22×D411yescharacteristic
1443C22×C4C22×D411yescharacteristic
1444C22×C4C22×D411yescharacteristic
1445C22×C4C22×D411yescharacteristic
1446C22×C4C22×D411yescharacteristic
1447C22×C4C22×D411yescharacteristic
1448C22×C4C22×D411yescharacteristic
1449C22×C4C22×D411yescharacteristic
1450C22×C4C22×D411yescharacteristic
1451C22×C4C22×D411yescharacteristic
1452C22×C4C22×D411yescharacteristic
1453C22×C4C22×D414yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2514yes—
1457C22×C4C2511yescharacteristic
1458SD16—28no—
1459SD16—28no—
1460SD16—48no—
1461D8—44no—
1462D8—44no—
1463D8—48no—
1464M16—28no—
1465M16—44no—
1466M16—48no—
1467C2×C8—24no—
1468C2×C8—24no—
1469C2×C8—44no—
1470C2×C8—48no—
1471C2×C8C2512yes—
1472C2×C8C2512yes—
1473C2×C8C2512yes—
1474C2×C8C2512yes—
1475C2×C8C2518yes—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—21no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—21no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—28no—
1503C4⋊C4—21no—
1504C4⋊C4—22no—
1505C4⋊C4—21no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—21no—
1514C4⋊C4—24no—
1515C4⋊C4—21no—
1516C4⋊C4—24no—
1517C4⋊C4C22×D412yes—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D412yes—
1520C4⋊C4C22×D414yes—
1521C4⋊C4C22×D412yes—
1522C4⋊C4C22×D414yes—
1523C4⋊C4C22×D414yes—
1524C4⋊C4C22×D412yes—
1525C4⋊C4C22×D414yes—
1526C4⋊C4C22×D414yes—
1527C4⋊C4C22×D412yes—
1528C4⋊C4C22×D412yes—
1529C4⋊C4C2514yes—
1530C4⋊C4C2514yes—
1531C4⋊C4C2514yes—
1532C4⋊C4C2512yes—
1533C4⋊C4C2512yes—
1534C4⋊C4C2512yes—
1535C4⋊C4C2512yes—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—24no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—22no—
1557C22⋊C4—22no—
1558C22⋊C4—24no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—22no—
1569C22⋊C4—24no—
1570C22⋊C4C22×D414yes—
1571C22⋊C4C22×D414yes—
1572C22⋊C4C22×D414yes—
1573C22⋊C4C22×D414yes—
1574C22⋊C4C22×D414yes—
1575C22⋊C4C22×D414yes—
1576C22⋊C4C22×D414yes—
1577C22⋊C4C22×D414yes—
1578C22⋊C4C22×D414yes—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—24no—
1587C42—22no—
1588C42—24no—
1589C42—24no—
1590C42—24no—
1591C42—24no—
1592C42—22no—
1593C42—24no—
1594C42—28no—
1595C42C22×D411yescharacteristic
1596C42C22×D411yescharacteristic
1597C42C22×D411yescharacteristic
1598C42C22×D411yescharacteristic
1599C42C22×D411yescharacteristic
1600C42C22×D414yes—
1601C42C22×D411yescharacteristic
1602C42C22×D411yescharacteristic
1603C42C22×D411yescharacteristic
1604C42C22×D411yescharacteristic
1605C42C22×D411yescharacteristic
1606C42C22×D411yescharacteristic
1607C42C22×D411yescharacteristic
1608C42C22×D414yes—
1609C42C2511yescharacteristic
1610C42C2511yescharacteristic
1611C42C2514yes—
1612C42C2511yescharacteristic
1613C42C2511yescharacteristic
1614C23—22no—
1615C23—22no—
1616C23—24no—
1617C23—22no—
1618C23—41no—
1619C23—41no—
1620C23—42no—
1621C23—44no—
1622C23—81no—
1623C23—81no—
1624C23—82no—
1625C23—82no—
1626C23C23×D411yescharacteristic
1627C23C23×D414yes—
1628C23C23×D411yescharacteristic
1629C23C23×D411yescharacteristic
1630Q8—24no—
1631Q8—22no—
1632Q8—24no—
1633Q8—24no—
1634Q8—22no—
1635Q8—22no—
1636Q8—42no—
1637Q8—48no—
1638Q8—44no—
1639Q8—44no—
1640Q8—44no—
1641Q8—44no—
1642Q8—42no—
1643Q8—82no—
1644Q8—88no—
1645Q8—82no—
1646Q8—81no—
1647Q8—84no—
1648Q8C2×2−1+414yes—
1649D4—28no—
1650D4—24no—
1651D4—24no—
1652D4—22no—
1653D4—22no—
1654D4—24no—
1655D4—22no—
1656D4—22no—
1657D4—24no—
1658D4—42no—
1659D4—44no—
1660D4—44no—
1661D4—44no—
1662D4—44no—
1663D4—48no—
1664D4—44no—
1665D4—48no—
1666D4—44no—
1667D4—44no—
1668D4—42no—
1669D4—44no—
1670D4—42no—
1671D4—82no—
1672D4—82no—
1673D4—81no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—82no—
1679D4—84no—
1680D4—88no—
1681D4—82no—
1682D4—84no—
1683D4—88no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—28no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—82no—
1728C2×C4—82no—
1729C2×C4—84no—
1730C2×C4—88no—
1731C2×C4—88no—
1732C2×C4—82no—
1733C2×C4—84no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—82no—
1737C2×C4—82no—
1738C2×C4—88no—
1739C2×C4—84no—
1740C2×C4C23×D411yescharacteristic
1741C2×C4C23×D414yes—
1742C2×C4C23×D411yescharacteristic
1743C2×C4C23×D411yescharacteristic
1744C2×C4C23×D411yescharacteristic
1745C2×C4C23×D411yescharacteristic
1746C2×C4C23×D414yes—
1747C2×C4C23×D414yes—
1748C2×C4C23×D411yescharacteristic
1749C2×C4C23×D411yescharacteristic
1750C2×C4C23×D411yescharacteristic
1751C2×C4C23×D411yescharacteristic
1752C2×C4C23×D411yescharacteristic
1753C2×C4C23×D411yescharacteristic
1754C2×C4C2×2−1+412yes—
1755C2×C4#58512yes—
1756C2×C4C2611yescharacteristic
1757C8—22no—
1758C8—22no—
1759C8—22no—
1760C8—22no—
1761C8—28no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—21no—
1766C22—24no—
1767C22—21no—
1768C22—21no—
1769C22—24no—
1770C22—21no—
1771C22—21no—
1772C22—24no—
1773C22—42no—
1774C22—42no—
1775C22—44no—
1776C22—42no—
1777C22—42no—
1778C22—44no—
1779C22—44no—
1780C22—42no—
1781C22—42no—
1782C22—82no—
1783C22—84no—
1784C22—164no—
1785C22#348912yes—
1786C22C24×D411yescharacteristic
1787C4—21no—
1788C4—21no—
1789C4—24no—
1790C4—24no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—24no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—24no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—44no—
1803C4—42no—
1804C4—44no—
1805C4—44no—
1806C4—42no—
1807C4#348912yes—
1808C4#358412yes—
1809C4#358512yes—
1810C4C22×2−1+411yescharacteristic
1811C4C2×#58511yescharacteristic
1812C2—22no—
1813C2—44no—
1814C2—41no—
1815C2—41no—
1816C2—82no—
1817C2—82no—
1818C2—84no—
1819C2C2×#348911yescharacteristic
1820C2C2×#358411yescharacteristic
1821C2C2×#358511yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3444 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62835C2semidirect
2. #62793C2semidirect
3. #62222C2semidirect
4. #62219C2semidirect
5. #62197C2semidirect
6. #62150C2semidirect
7. #62145C2semidirect
8. #62136C2semidirect
9. #62132C2semidirect
10. #62117C2semidirect
11. #62102C2semidirect
12. #61371C2semidirect
13. #61325C2semidirect
14. #61284C2semidirect
15. #61276C2semidirect
16. #61213C2semidirect
17. #61189C2semidirect
18. #60922C2semidirect
19. #60916C2semidirect
20. #60892C2semidirect
21. #60846C2semidirect
22. #60593C2semidirect
23. C2×#3106C2semidirect
24. #60498C2semidirect
25. #60484C2semidirect
26. #60268C2semidirect
28. #3559C22semidirect
32. #3547C22semidirect
35. #3524C22semidirect
39. #3518C22semidirect
41. #3517C22semidirect
42. #3511C22semidirect
43. #3511C22semidirect
53. #3499C22semidirect
62. #3483C22semidirect
64. #3482C22semidirect
66. #3480C22semidirect
76. #3388C22semidirect
77. #3386C22semidirect
78. #3385C22semidirect
79. #3381C22semidirect
80. #3381C22semidirect
81. Q8×SD16C22semidirect
82. #3370C22semidirect
83. #3367C22semidirect
84. #3366C22semidirect
85. #3361C22semidirect
86. #3360C22semidirect
87. #3358C22semidirect
88. #3355C22semidirect
89. #3354C22semidirect
90. #3354C22semidirect
91. #3354C22semidirect
92. #3351C22semidirect
93. #3350C22semidirect
94. #3347C22semidirect
95. #3347C22semidirect
96. #3343C22semidirect
97. #3341C22semidirect
98. #3340C22semidirect
99. #3339C22semidirect
100. #3339C22semidirect
101. #3334C22semidirect
102. #3332C22semidirect
103. #3332C22semidirect
104. #3329C22semidirect
105. #3326C22semidirect
106. #3326C22semidirect
107. #3321C22semidirect
108. #3309C22semidirect
109. #3309C22semidirect
110. #3308C22semidirect
111. #3305C22semidirect
112. #3305C22semidirect
113. #3301C22semidirect
114. #3301C22semidirect
115. #3298C22semidirect
116. #3259C22semidirect
117. #3257C22semidirect
118. #3254C22semidirect
119. #3253C22semidirect
120. #3253C22semidirect
121. #3251C22semidirect
122. #3251C22semidirect
123. #3247C22semidirect
124. #3247C22semidirect
125. #3246C22semidirect
126. #3245C22semidirect
127. #3245C22semidirect
128. #3244C22semidirect
129. #3241C22semidirect
130. #3238C22semidirect
131. #3235C22semidirect
132. #3233C22semidirect
133. #3233C22semidirect
134. #3233C22semidirect
135. #3232C22semidirect
136. #3231C22semidirect
137. #3230C22semidirect
138. #3229C22semidirect
139. #3228C22semidirect
140. #3227C22semidirect
141. #3227C22semidirect
142. #3226C22semidirect
147. #3126C22semidirect
148. #3119C22semidirect
149. #3115C22semidirect
150. #3112C22semidirect
157. #3106C22semidirect
158. #3103C22semidirect
165. #3083C22semidirect
167. #3082C22semidirect
169. #3080C22semidirect
171. #3079C22semidirect
172. #3079C22semidirect
173. #3079C22semidirect
176. #3078C22semidirect
182. #3076C22semidirect
183. #3076C22semidirect
184. #3076C22semidirect
186. C2×#477C22semidirect
198. #2994C22semidirect
199. #2993C22semidirect
200. #2991C22semidirect
201. #2990C22semidirect
202. #2989C22semidirect
203. #2988C22semidirect
1362. C2×Q82−1+4semidirect

Maximal subgroups

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

subgroupindex
#628352
#627932
#622222
#622192
#621972
#621502
#621452
#621362
#621322
#621172
#621022
#613712
#613252
#612842
#612762
#612132
#611892
#609222
#609162
#608922
#608462
#605932
C2×#31062
#604982
#604842
#602682