Finite Group Databasebeta

← #10579588

Subgroups — #10579588

Order 512.

6168 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62835C211yesmaximal, characteristic, complemented
2#62788C211yesmaximal, characteristic, complemented
3#62213C218yesmaximal, complemented
4#62194C214yesmaximal, complemented
5#62191C214yesmaximal, complemented
6#62145C214yesmaximal, complemented
7#62129C214yesmaximal, complemented
8#62114C212yesmaximal, complemented
9#62111C212yesmaximal, complemented
10#62102C212yesmaximal, complemented
11#62099C212yesmaximal, complemented
12#61371C212yesmaximal, complemented
13#61326C212yesmaximal, complemented
14#61285C212yesmaximal, complemented
15#61272C214yesmaximal, complemented
16#61213C212yesmaximal, complemented
17#61185C214yesmaximal, complemented
18#60924C212yesmaximal, complemented
19#60916C211yesmaximal, characteristic, complemented
20#60889C212yesmaximal, complemented
21#60846C211yesmaximal, characteristic, complemented
22#60593C212yesmaximal, complemented
23C2×#3103C211yesmaximal, characteristic, complemented
24#60497C212yesmaximal, complemented
25C2×#3078C211yesmaximal, characteristic, complemented
26#60268C211yesmaximal, characteristic, complemented
27#3561—22no—
28#3559C2214yes—
29#3554—22no—
30#3550—21no—
31#3548—21no—
32#3547C2214yes—
33#3536—22no—
34#3523—21no—
35#3523C2212yescomplemented
36#3522—21no—
37#3522—22no—
38#3522C2212yescomplemented
39#3520—22no—
40#3516—22no—
41#3516C2214yescomplemented
42#3511C2212yes—
43#3511C2214yes—
44#3508C2212yes—
45#3507—21no—
46#3507—22no—
47#3507C2211yescharacteristic
48#3507C2211yescharacteristic
49#3506C2212yes—
50#3503C2212yes—
51#3502C2211yescharacteristic
52#3501C2212yes—
53#3499C2212yes—
54#3497—21no—
55#3497C2211yescharacteristic
56#3494C2214yes—
57#3492—22no—
58#3492C2212yes—
59#3489—22no—
60#3486C2212yes—
61#3482—22no—
62#3482C2214yescomplemented
63#3480—21no—
64#3480C2212yescomplemented
65Q8×#41—21no—
66Q8×#41C2212yescomplemented
67#3461—22no—
68#3461C2212yes—
69#3444—22no—
70#3444C2211yescharacteristic
71#3444C2211yescharacteristic
72C2×#533C2211yescharacteristic
73C2×#532C2211yescharacteristic
74C4×2−1+4C2212yes—
75C22×C4×Q8C2211yescharacteristic
76#3388C2218yescomplemented
77#3386C2214yescomplemented
78#3385C2214yescomplemented
79#3381C2218yescomplemented
80#3381C2214yescomplemented
81Q8×SD16C2214yescomplemented
82#3376C2218yescomplemented
83#3373C2214yescomplemented
84#3372C2214yescomplemented
85#3361C2214yescomplemented
86#3360C2218yescomplemented
87#3359C2214yescomplemented
88#3357C2214yescomplemented
89#3354C2218yescomplemented
90#3353C2214yescomplemented
91#3351C2218yescomplemented
92#3351C2218yescomplemented
93#3348C2218yescomplemented
94#3346C2218yescomplemented
95#3345C2218yescomplemented
96#3345C2218yescomplemented
97#3340C2214yescomplemented
98#3339C2218yescomplemented
99#3337C2218yescomplemented
100#3335C2218yescomplemented
101#3335C2214yescomplemented
102#3332C2214yescomplemented
103#3329C2218yescomplemented
104#3329C2214yescomplemented
105#3326C2218yescomplemented
106#3326C2218yescomplemented
107#3321C2218yescomplemented
108#3320C2218yescomplemented
109#3320C2218yescomplemented
110#3308C2218yescomplemented
111#3305C2214yescomplemented
112#3301C2218yescomplemented
113#3301C2218yescomplemented
114#3298C2218yescomplemented
115#3298C2214yescomplemented
116#3260C2218yescomplemented
117#3257C2218yescomplemented
118#3254C2212yes—
119#3254C2214yescomplemented
120#3253C2212yes—
121#3251C2214yes—
122#3251C2214yescomplemented
123#3247C2214yes—
124#3247C2214yescomplemented
125#3246C2212yes—
126#3246C2214yescomplemented
127#3245C2212yes—
128#3244C2218yescomplemented
129#3242C2218yescomplemented
130#3239C2214yescomplemented
131#3237C2214yescomplemented
132#3233C2214yescomplemented
133#3233C2212yescomplemented
134#3233C2212yescomplemented
135#3232C2214yescomplemented
136#3231C2212yescomplemented
137#3230C2211yescharacteristic, complemented
138#3229C2211yescharacteristic, complemented
139#3229C2214yescomplemented
140#3228C2212yescomplemented
141#3227C2211yescharacteristic, complemented
142#3226C2211yescharacteristic, complemented
143#3163C2214yes—
144#3160C2212yes—
145#3137C2214yes—
146#3131C2212yes—
147#3126C2218yescomplemented
148#3119C2218yescomplemented
149#3115C2214yescomplemented
150#3112C2214yescomplemented
151#3106C2214yescomplemented
152#3103C2214yes—
153#3103C2212yes—
154#3103C2212yes—
155#3103C2212yes—
156#3103C2212yes—
157#3103C2214yes—
158#3103C2214yescomplemented
159#3099C2214yes—
160#3097C2214yes—
161#3096C2214yes—
162#3091C2214yes—
163C2×#481C2212yes—
164#3084C2214yes—
165#3084C2218yescomplemented
166#3082C2214yes—
167#3082C2218yescomplemented
168#3081C2214yes—
169#3079C2212yes—
170#3079C2214yescomplemented
171#3078C2212yes—
172#3078C2212yes—
173#3078C2212yes—
174#3078C2212yes—
175#3078C2214yescomplemented
176#3078C2214yescomplemented
177#3078C2214yescomplemented
178#3077C2212yes—
179#3076C2212yes—
180#3076C2212yes—
181#3076C2214yescomplemented
182C2×#479C2214yescomplemented
183C2×#477C2212yescomplemented
184C2×#475C2211yescharacteristic
185C2×#475C2211yescharacteristic
186C2×#475C2212yescomplemented
187C2×#475C2214yescomplemented
188#3062C2214yes—
189#3057C2214yes—
190#3055C2214yes—
191#3042C2214yes—
192#3038C2212yes—
193#3036C2212yes—
194C2×#460C2211yescharacteristic
195C2×#460C2211yescharacteristic
196#3010C2214yes—
197C2×#448C2212yes—
198#2994C2214yescomplemented
199#2993C2214yescomplemented
200#2991C2212yescomplemented
201#2990C2212yescomplemented
202#2989C2212yescomplemented
203#2988C2212yescomplemented
204#2960C2212yes—
205#2949C2214yes—
206#2946C2214yes—
207C2×C4×SD16C2212yes—
208C2×C4×SD16C2212yes—
209#2933C2214yes—
210#2931C2212yes—
211#2925C2212yes—
212C2×#431C2211yescharacteristic
213#2912C2214yes—
214C2×#428C2212yes—
215#2906C2212yes—
216C2×#423C2211yescharacteristic
217#2898C2214yes—
218C2×#419C2212yes—
219C2×2−1+4—22no—
220C2×2−1+4C2312yes—
221C22×#41—21no—
222C23×Q8C2311yescharacteristic
223C2×AGL(1,ℤ/8)C2314yes—
224C22×SD16C2312yes—
225C22×SD16C2312yes—
226C2×#131C2314yes—
227C22×M16C2312yes—
228#563—24no—
229#562—24no—
230#562—28no—
231#559—21no—
232#559—22no—
233#559—24no—
234#559—22no—
235#559—22no—
236#559—22no—
237#559C2312yes—
238Q82—21no—
239Q82—22no—
240Q82C2312yes—
241#557—21no—
242#557—21no—
243#557—22no—
244#557—22no—
245#557—22no—
246#557—22no—
247#557C2312yes—
248#557C2312yes—
249#557C2314yes—
250#556—21no—
251#556—22no—
252#556—24no—
253#556—22no—
254#556—22no—
255#556—22no—
256#556—24no—
257#556—22no—
258#556—24no—
259#556C2314yes—
260#556C2312yes—
261#555C2314yes—
262#555C2318yes—
263#554—21no—
264#554—22no—
265#554—22no—
266#554—24no—
267#554—24no—
268#554—22no—
269#554—24no—
270#554—22no—
271#554—24no—
272#554—22no—
273#554C2318yes—
274#554C2314yes—
275#554C2314yes—
276#554C2312yes—
277#553—24no—
278#553—22no—
279#553—24no—
280#553C2318yes—
281#553C2314yes—
282#553C2318yes—
283#553C2318yes—
284#552—24no—
285#552—22no—
286#552—24no—
287#552—24no—
288#552—22no—
289#552—24no—
290#552—24no—
291#552C2314yes—
292#552C2314yes—
293#551—28no—
294#550—21no—
295#550—22no—
296#550—22no—
297#550—22no—
298#550C2312yes—
299D4×Q8—21no—
300D4×Q8—22no—
301D4×Q8—22no—
302D4×Q8—22no—
303D4×Q8—22no—
304D4×Q8—24no—
305D4×Q8—22no—
306D4×Q8C2312yes—
307D4×Q8C2314yes—
308D4×Q8C2314yes—
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—24no—
321#547—24no—
322#547—28no—
323#547—22no—
324#547—24no—
325#547—22no—
326#547—24no—
327#547—22no—
328#547C2314yes—
329#547C2318yes—
330#547C2314yes—
331#546—28no—
332#546—24no—
333#546—24no—
334#544—22no—
335#544C2312yes—
336#544C2314yes—
337#544C2318yes—
338#543—24no—
339#542—24no—
340#542—28no—
341#542—24no—
342#542—24no—
343#542—22no—
344#542—24no—
345#542—24no—
346#542—24no—
347#542C2314yes—
348#541—24no—
349#541—24no—
350#541—22no—
351#541C2314yes—
352#540—24no—
353#540C2318yes—
354#539—28no—
355#539—24no—
356#539—22no—
357#539—24no—
358#539—22no—
359#539—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—24no—
369#536—22no—
370#536—24no—
371#536C2312yes—
372#536C2312yes—
373#535C2314yes—
374#533—22no—
375#533—22no—
376#533—24no—
377#533—22no—
378#533—22no—
379#533—24no—
380#533—21no—
381#533—21no—
382#533—21no—
383#533—21no—
384#533D411yescharacteristic
385#533D411yescharacteristic
386#533C2311yescharacteristic
387#533C2311yescharacteristic
388#533C2314yes—
389#533C2312yes—
390#533C2314yes—
391#533C2311yescharacteristic
392#533C2312yes—
393#533C2312yes—
394#533C2312yes—
395#533C2311yescharacteristic
396#532—22no—
397#532—22no—
398#532—22no—
399#532—24no—
400#532—21no—
401#532—21no—
402#532—21no—
403#532—21no—
404#532D411yescharacteristic
405#532D411yescharacteristic
406#532C2311yescharacteristic
407#532C2312yes—
408#532C2312yes—
409#532C2312yes—
410#532C2312yes—
411#532C2314yes—
412#532C2314yes—
413#532C2311yescharacteristic
414#532C2311yescharacteristic
415#532C2311yescharacteristic
416C2×C4⋊Q8C2311yescharacteristic
417C2×C4⋊Q8C2311yescharacteristic
418C2×C4⋊Q8C2314yes—
419C2×C4⋊Q8C2311yescharacteristic
420C2×#127C2311yescharacteristic
421#529—24no—
422#529—24no—
423#529—22no—
424#529—22no—
425#529—24no—
426#529—22no—
427#529—22no—
428#529—24no—
429#529—24no—
430#529—24no—
431#529—22no—
432#529—24no—
433#529—21no—
434#529—21no—
435#529—21no—
436#529—21no—
437#529D412yes—
438#529D412yes—
439#529D412yes—
440#529D412yes—
441#529C2312yes—
442#529C2312yes—
443#529C2314yes—
444#529C2312yes—
445#529C2312yes—
446C2×#125C2312yes—
447C2×#124—21no—
448#525—21no—
449#525—21no—
450#525—24no—
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—24no—
478C4×#41—22no—
479C4×#41—21no—
480C4×#41—21no—
481C4×#41C2312yes—
482C4×#41C2314yes—
483C4×#41C2312yes—
484C4×#41C2312yes—
485C4×#41C2312yes—
486C2×C4×Q8—22no—
487C2×C4×Q8—21no—
488C2×C4×Q8—21no—
489C2×C4×Q8—21no—
490C2×C4×Q8—21no—
491C2×C4×Q8—21no—
492C2×C4×Q8—21no—
493C2×C4×Q8—21no—
494C2×C4×Q8—21no—
495C2×C4×Q8C2311yescharacteristic
496C2×C4×Q8C2311yescharacteristic
497C2×C4×Q8C2312yes—
498C2×C4×Q8C2314yes—
499C2×C4×Q8C2312yes—
500C2×C4×Q8C2311yescharacteristic
501C2×C4×Q8C2311yescharacteristic
502C2×C4×Q8C2312yes—
503C2×C4×Q8C2312yes—
504C2×C4×D4—21no—
505C2×C4×D4C2312yes—
506C2×#117C2312yes—
507C22×C4⋊C4—21no—
508C22×C4⋊C4C2311yescharacteristic
509C22×C42—21no—
510C22×C42C2311yescharacteristic
511#501C2318yes—
512#501C2318yes—
513#500C2312yes—
514#500C2312yes—
515#499C2314yes—
516#499C2318yes—
517#499C2314yes—
518#498C2312yes—
519#498C2318yes—
520#498C2312yes—
521#491C2318yes—
522#489C2318yes—
523#488C2314yes—
524#488C2318yes—
525#488C2314yes—
526#487C2312yes—
527#487C2318yes—
528#487C2312yes—
529#486C2312yes—
530#486C2312yes—
531#485C2314yes—
532#485C2318yes—
533#485C2318yes—
534#485C2318yes—
535#485C2314yes—
536#484C2318yes—
537#484C2314yes—
538#483C2314yes—
539#483C2318yes—
540#483C2318yes—
541#482C2318yes—
542#482C2318yes—
543#482C2318yes—
544#482C2314yes—
545#482C2314yes—
546#481C2318yes—
547#481C2314yes—
548#481C2318yes—
549#481C2314yes—
550#481C2314yes—
551#481C2314yes—
552#481C2314yes—
553#480C2318yes—
554#480C2314yes—
555#479C2318yes—
556#479C2318yes—
557#479C2318yes—
558#479C2318yes—
559#479C2314yes—
560#479C2314yes—
561#479C2318yes—
562#479C2318yes—
563#479C2318yes—
564#478C2314yes—
565#478C2314yes—
566#478C2318yes—
567#478C2318yes—
568#478C2318yes—
569#478C2318yes—
570#477C2314yes—
571#477C2318yes—
572#477C2314yes—
573#477C2314yes—
574#477C2314yes—
575#477C2312yes—
576#477C2312yes—
577#477C2314yes—
578#476C2312yes—
579#476C2312yes—
580#476C2314yes—
581#476C2314yes—
582#476C2318yes—
583#476C2318yes—
584#475C2312yes—
585#475C2312yes—
586#475C2314yes—
587#475C2312yes—
588#475C2312yes—
589#475C2314yes—
590#475C2312yes—
591#475C2314yes—
592#475C2314yes—
593#475C2314yes—
594#475C2314yes—
595#475C2314yes—
596#475C2318yes—
597#475C2318yes—
598#475C2312yes—
599#474C2312yes—
600#474C2312yes—
601#474C2314yes—
602#474C2314yes—
603#474C2318yes—
604#469C2318yes—
605#469C2318yes—
606#468C2318yes—
607#468C2318yes—
608#468C2318yes—
609#468C2318yes—
610#466C2318yes—
611#466C2318yes—
612#465C2318yes—
613#465C2318yes—
614#465C2318yes—
615#465C2318yes—
616#463C2318yes—
617#463C2318yes—
618#463C2318yes—
619#461C2314yes—
620#461C2318yes—
621#461C2318yes—
622#460C2312yes—
623#460C2312yes—
624#460C2314yes—
625#460C2312yes—
626#460C2312yes—
627#460C2314yes—
628#460C2314yes—
629#460C2314yes—
630#459C2314yes—
631#459C2314yes—
632#459C2314yes—
633#449C2318yes—
634#449C2318yes—
635#448C2314yes—
636#448C2318yes—
637#448C2318yes—
638#448C2314yes—
639#448C2314yes—
640#448C2314yes—
641#446C2314yes—
642#446C2314yes—
643C8×Q8C2314yes—
644C8×Q8C2314yes—
645#442C2318yes—
646#440C2318yes—
647#440C2318yes—
648#440C2318yes—
649C4×SD16C2314yes—
650C4×SD16C2318yes—
651C4×SD16C2314yes—
652C4×SD16C2318yes—
653C4×SD16C2314yes—
654C4×SD16C2314yes—
655C4×SD16C2314yes—
656C4×SD16C2314yes—
657C4×SD16C2314yes—
658C4×SD16C2314yes—
659C4×SD16C2318yes—
660C4×D8C2318yes—
661#436C2314yes—
662#436C2318yes—
663#436C2314yes—
664#435C2318yes—
665#435C2318yes—
666C8×D4C2318yes—
667C8×D4C2314yes—
668C8×D4C2314yes—
669#433C2318yes—
670#432C2314yes—
671#431C2311yescharacteristic
672#431C2311yescharacteristic
673#431C2312yes—
674#431C2312yes—
675#431C2311yescharacteristic
676#431C2311yescharacteristic
677#431C2314yes—
678#428C2314yes—
679#428C2314yes—
680#428C2314yes—
681#428C2318yes—
682#428C2318yes—
683#428C2318yes—
684#427C2314yes—
685#427C2314yes—
686#427C2318yes—
687C2×#107C2314yes—
688C2×#106C2312yes—
689C2×#106C2312yes—
690C2×#106C2314yes—
691C2×#106C2318yes—
692#424C2314yes—
693#424C2318yes—
694#423C2312yes—
695#423C2312yes—
696#423C2312yes—
697#423C2312yes—
698#423C2314yes—
699C2×C4⋊C8C2311yescharacteristic
700C2×C4⋊C8C2311yescharacteristic
701C2×C4⋊C8C2312yes—
702C2×C4⋊C8C2314yes—
703C2×C4⋊C8C2312yes—
704#419C2318yes—
705#419C2318yes—
706#419C2314yes—
707#419C2314yes—
708#418C2314yes—
709#417C2318yes—
710#417C2314yes—
711#416C2314yes—
712#416C2314yes—
713#416C2318yes—
714C2×#103C2312yes—
715C2×#103C2312yes—
716C2×#103C2314yes—
717C2×#103C2318yes—
718C2×#103C2314yes—
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—24no—
729C2×#41—22no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—28no—
733C2×#41—21no—
734C2×#41—22no—
735C2×#41—21no—
736C2×#41—24no—
737C2×#41—22no—
738C2×#41—22no—
739C2×#41—22no—
740C2×#41—24no—
741C2×#41—84no—
742C2×#41C2×D412yes—
743C2×#41C2×D412yes—
744C2×#41C2412yes—
745C2×#41C2414yes—
746C2×#41C2412yes—
747C22×Q8—22no—
748C22×Q8—24no—
749C22×Q8—21no—
750C22×Q8—21no—
751C22×Q8—21no—
752C22×Q8—21no—
753C22×Q8—21no—
754C22×Q8—21no—
755C22×Q8—24no—
756C22×Q8—24no—
757C22×Q8—42no—
758C22×Q8C2411yescharacteristic
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2414yes—
762C22×Q8C2411yescharacteristic
763C22×D4—22no—
764C22×D4—21no—
765C22×D4—21no—
766C22×D4C2412yes—
767C23×C4—21no—
768C23×C4—21no—
769C23×C4—22no—
770C23×C4C2×D411yescharacteristic
771C23×C4C2×D411yescharacteristic
772C23×C4C2411yescharacteristic
773AGL(1,ℤ/8)—48no—
774C2×SD16—28no—
775C2×SD16—44no—
776C2×SD16C2414yes—
777C2×SD16C2414yes—
778C2×SD16C2414yes—
779C2×SD16C2414yes—
780C2×SD16C2418yes—
781C2×D8C2418yes—
782#131—48no—
783C2×M16—44no—
784C2×M16C2414yes—
785C2×M16C2414yes—
786C2×M16C2418yes—
787C22×C8C2412yes—
788C22×C8C2412yes—
789C22×C8C2414yes—
790C22×C8C2418yes—
791C4⋊Q8—22no—
792C4⋊Q8—22no—
793C4⋊Q8—24no—
794C4⋊Q8—22no—
795C4⋊Q8—22no—
796C4⋊Q8—24no—
797C4⋊Q8—24no—
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⋊Q8C2414yes—
815C4⋊Q8C2412yes—
816C4⋊Q8C2412yes—
817C4⋊Q8C2412yes—
818C4⋊Q8C2412yes—
819C4⋊Q8C2412yes—
820C4⋊Q8C2412yes—
821C4⋊Q8C2418yes—
822C4⋊Q8C2411yescharacteristic
823C4⋊Q8C2411yescharacteristic
824C4⋊Q8C2414yes—
825#127—22no—
826#127—24no—
827#127—21no—
828#127—21no—
829#127C2×D411yescharacteristic
830#127C2412yes—
831#127C2412yes—
832#127C2411yescharacteristic
833#126—24no—
834#126—24no—
835#126—24no—
836#126—24no—
837#126—28no—
838#126—28no—
839#126—28no—
840#126—24no—
841#126—24no—
842#126—24no—
843#126—24no—
844#126—24no—
845#126—22no—
846#126—22no—
847#126—24no—
848#126C2×D414yes—
849#126C2×D414yes—
850#125—24no—
851#125—24no—
852#125—22no—
853#125—22no—
854#125—24no—
855#125—24no—
856#125—24no—
857#125—22no—
858#125—24no—
859#125—24no—
860#125—24no—
861#125—24no—
862#125—24no—
863#125—28no—
864#125—22no—
865#125—22no—
866#125—21no—
867#125—21no—
868#125—24no—
869#125C2×D412yes—
870#125C2×D412yes—
871#125C2×D412yes—
872#125C2414yes—
873#125C2414yes—
874#125C2412yes—
875#125C2414yes—
876#125C2418yes—
877#124—22no—
878#124—24no—
879#124—22no—
880#124—22no—
881#124—24no—
882#124—24no—
883#124—24no—
884#124—24no—
885#124—28no—
886#124—28no—
887#124—28no—
888#124—22no—
889#124—22no—
890#124—22no—
891#124—22no—
892#124—21no—
893#124—21no—
894#124—24no—
895#124—24no—
896#124C2×D412yes—
897#124C2×D412yes—
898#124C2×D412yes—
899#124C2412yes—
900#124C2414yes—
901#123—24no—
902#123—24no—
903#123—24no—
904#123—22no—
905#123—22no—
906#123—22no—
907#123—24no—
908#123—24no—
909#123—28no—
910#123—28no—
911#123—24no—
912#123—24no—
913#123—28no—
914#123—28no—
915#123—24no—
916#123—24no—
917#123—24no—
918#123—28no—
919#123—28no—
920#123—28no—
921#123—28no—
922#123C2×D414yes—
923#123C2×D414yes—
924#123C2×D414yes—
925C22⋊Q8—24no—
926C22⋊Q8—22no—
927C22⋊Q8—24no—
928C22⋊Q8—28no—
929C22⋊Q8—22no—
930C22⋊Q8—22no—
931C22⋊Q8—22no—
932C22⋊Q8—22no—
933C22⋊Q8—22no—
934C22⋊Q8—22no—
935C22⋊Q8—22no—
936C22⋊Q8—22no—
937C22⋊Q8—21no—
938C22⋊Q8—21no—
939C22⋊Q8—21no—
940C22⋊Q8—21no—
941C22⋊Q8—24no—
942C22⋊Q8—24no—
943C22⋊Q8—24no—
944C22⋊Q8—24no—
945C22⋊Q8—28no—
946C22⋊Q8—24no—
947C22⋊Q8—24no—
948C22⋊Q8—22no—
949C22⋊Q8—24no—
950C22⋊Q8—22no—
951C22⋊Q8—24no—
952C22⋊Q8—24no—
953C22⋊Q8—24no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—24no—
960C22⋊Q8—24no—
961C22⋊Q8—24no—
962C22⋊Q8—24no—
963C22⋊Q8—24no—
964C22⋊Q8—24no—
965C22⋊Q8—24no—
966C22⋊Q8—24no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8C2×D412yes—
971C22⋊Q8C2×D412yes—
972C22⋊Q8C2×D412yes—
973C22⋊Q8C2×D412yes—
974C22⋊Q8C2×D412yes—
975C22⋊Q8C2×D412yes—
976C22⋊Q8C2412yes—
977C22⋊Q8C2412yes—
978C22⋊Q8C2414yes—
979C22⋊Q8C2414yes—
980C22⋊Q8C2414yes—
981#121—24no—
982#121—24no—
983#121—24no—
984#121—24no—
985#121—24no—
986#121—24no—
987#121—22no—
988#121—28no—
989#121—28no—
990#121—28no—
991#121—28no—
992#121—22no—
993#121—22no—
994#121—22no—
995#121—22no—
996#121—22no—
997#121—22no—
998#121—21no—
999#121—21no—
1000#121—21no—
1001#121—21no—
1002#121—24no—
1003#121—24no—
1004#121—24no—
1005#121—28no—
1006#121—28no—
1007#121C2×D412yes—
1008#121C2×D412yes—
1009#121C2×D412yes—
1010#121C2×D412yes—
1011#121C2×D412yes—
1012#121C2×D412yes—
1013#121C2414yes—
1014#121C2414yes—
1015#121C2412yes—
1016#121C2412yes—
1017#121C2414yes—
1018#121C2418yes—
1019#121C2418yes—
1020#120—22no—
1021#120—28no—
1022#120C2×D414yes—
1023C4×Q8—22no—
1024C4×Q8—22no—
1025C4×Q8—22no—
1026C4×Q8—24no—
1027C4×Q8—22no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—22no—
1031C4×Q8—24no—
1032C4×Q8—22no—
1033C4×Q8—22no—
1034C4×Q8—21no—
1035C4×Q8—21no—
1036C4×Q8—22no—
1037C4×Q8—22no—
1038C4×Q8—21no—
1039C4×Q8—22no—
1040C4×Q8—22no—
1041C4×Q8—21no—
1042C4×Q8—21no—
1043C4×Q8—21no—
1044C4×Q8—21no—
1045C4×Q8—22no—
1046C4×Q8—22no—
1047C4×Q8—21no—
1048C4×Q8—22no—
1049C4×Q8—22no—
1050C4×Q8—24no—
1051C4×Q8—22no—
1052C4×Q8—22no—
1053C4×Q8—22no—
1054C4×Q8—22no—
1055C4×Q8—22no—
1056C4×Q8—22no—
1057C4×Q8—22no—
1058C4×Q8—22no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—21no—
1062C4×Q8—21no—
1063C4×Q8—21no—
1064C4×Q8—21no—
1065C4×Q8—24no—
1066C4×Q8—24no—
1067C4×Q8C2×D412yes—
1068C4×Q8C2×D412yes—
1069C4×Q8C2×D412yes—
1070C4×Q8C2×D412yes—
1071C4×Q8C2412yes—
1072C4×Q8C2412yes—
1073C4×Q8C2412yes—
1074C4×Q8C2412yes—
1075C4×Q8C2412yes—
1076C4×Q8C2412yes—
1077C4×Q8C2412yes—
1078C4×Q8C2412yes—
1079C4×Q8C2412yes—
1080C4×Q8C2414yes—
1081C4×Q8C2414yes—
1082C4×Q8C2412yes—
1083C4×Q8C2414yes—
1084C4×Q8C2412yes—
1085C4×Q8C2412yes—
1086C4×D4—24no—
1087C4×D4—22no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4—24no—
1091C4×D4—22no—
1092C4×D4—22no—
1093C4×D4—28no—
1094C4×D4—24no—
1095C4×D4—22no—
1096C4×D4—22no—
1097C4×D4—24no—
1098C4×D4—22no—
1099C4×D4—22no—
1100C4×D4—22no—
1101C4×D4—24no—
1102C4×D4—22no—
1103C4×D4—24no—
1104C4×D4—22no—
1105C4×D4—22no—
1106C4×D4—24no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—28no—
1116C4×D4—28no—
1117C4×D4—28no—
1118C4×D4—22no—
1119C4×D4—22no—
1120C4×D4—22no—
1121C4×D4—22no—
1122C4×D4—22no—
1123C4×D4—22no—
1124C4×D4—21no—
1125C4×D4—21no—
1126C4×D4—21no—
1127C4×D4—21no—
1128C4×D4—24no—
1129C4×D4—24no—
1130C4×D4C2×D414yes—
1131C4×D4C2×D414yes—
1132C4×D4C2×D412yes—
1133C4×D4C2×D414yes—
1134C4×D4C2×D412yes—
1135C4×D4C2×D414yes—
1136C4×D4C2×D412yes—
1137C4×D4C2×D412yes—
1138C4×D4C2414yes—
1139C4×D4C2414yes—
1140C4×D4C2412yes—
1141C4×D4C2412yes—
1142C4×D4C2414yes—
1143C4×D4C2418yes—
1144C4×D4C2418yes—
1145C4×D4C2414yes—
1146C4×D4C2414yes—
1147C4×D4C2412yes—
1148C4×D4C2412yes—
1149#117—22no—
1150#117—22no—
1151#117—21no—
1152#117—21no—
1153#117—24no—
1154#117—24no—
1155#117—22no—
1156#117—24no—
1157#117—24no—
1158#117—28no—
1159#117—24no—
1160#117—24no—
1161#117—24no—
1162#117—24no—
1163#117—24no—
1164#117—24no—
1165#117—22no—
1166#117—22no—
1167#117—22no—
1168#117—24no—
1169#117C2×D412yes—
1170#117C2×D414yes—
1171#117C2×D412yes—
1172#117C2×D414yes—
1173#117C2414yes—
1174#117C2414yes—
1175#117C2412yes—
1176#117C2414yes—
1177#117C2418yes—
1178#117C2412yes—
1179#117C2414yes—
1180C2×C4⋊C4—21no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4—21no—
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—22no—
1185C2×C4⋊C4—22no—
1186C2×C4⋊C4—22no—
1187C2×C4⋊C4—22no—
1188C2×C4⋊C4—21no—
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⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2414yes—
1210C2×C4⋊C4C2418yes—
1211C2×C22⋊C4—22no—
1212C2×C22⋊C4—22no—
1213C2×C22⋊C4—22no—
1214C2×C22⋊C4—28no—
1215C2×C42—22no—
1216C2×C42—21no—
1217C2×C42—22no—
1218C2×C42—22no—
1219C2×C42—21no—
1220C2×C42—22no—
1221C2×C42—21no—
1222C2×C42—22no—
1223C2×C42—21no—
1224C2×C42—24no—
1225C2×C42—24no—
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×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2414yes—
1240#107C2418yes—
1241#107C2418yes—
1242#107C2418yes—
1243#107C2414yes—
1244#107C2414yes—
1245#107C2414yes—
1246#107C2414yes—
1247#106C2414yes—
1248#106C2414yes—
1249#106C2418yes—
1250#106C2414yes—
1251#106C2418yes—
1252#106C2418yes—
1253#106C2414yes—
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#103C2418yes—
1274#103C2414yes—
1275#103C2418yes—
1276#103C2418yes—
1277#103C2418yes—
1278#103C2414yes—
1279#103C2414yes—
1280#103C2414yes—
1281#103C2414yes—
1282#103C2414yes—
1283#102C2414yes—
1284#102C2414yes—
1285#102C2414yes—
1286#102C2414yes—
1287#102C2414yes—
1288#102C2418yes—
1289#102C2414yes—
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—
1307C24C22×D411yescharacteristic
1308#41—28no—
1309#41—24no—
1310#41—24no—
1311#41—28no—
1312#41—24no—
1313#41—24no—
1314#41—44no—
1315#41—416no—
1316#41—48no—
1317#41—44no—
1318#41—48no—
1319#41—84no—
1320#41—84no—
1321#41—84no—
1322#41—88no—
1323#41—82no—
1324#41—816no—
1325#41—88no—
1326#41—82no—
1327#41—88no—
1328#41—88no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—21no—
1334C2×Q8—22no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—21no—
1341C2×Q8—24no—
1342C2×Q8—28no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—28no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—44no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×Q8—44no—
1356C2×Q8—48no—
1357C2×Q8—44no—
1358C2×Q8—82no—
1359C2×Q8—88no—
1360C2×Q8—88no—
1361C2×Q8—82no—
1362C2×Q8C22×D412yes—
1363C2×Q8C22×D412yes—
1364C2×Q8C22×D412yes—
1365C2×Q82−1+414yescomplemented
1366C2×Q8C2512yes—
1367C2×Q8C2512yes—
1368C2×Q8C2512yes—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—21no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—21no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—82no—
1388C2×D4—82no—
1389C2×D4—84no—
1390C2×D4C22×D414yes—
1391C2×D4C22×D412yes—
1392C2×D4C22×D414yes—
1393C2×D4C22×D412yes—
1394C2×D4C22×D414yes—
1395C2×D4C22×D412yes—
1396C2×D4C2512yes—
1397C2×D4C2514yes—
1398C22×C4—21no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—21no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—21no—
1409C22×C4—22no—
1410C22×C4—21no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—28no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—28no—
1422C22×C4—28no—
1423C22×C4—24no—
1424C22×C4—44no—
1425C22×C4—84no—
1426C22×C4—81no—
1427C22×C4—82no—
1428C22×C4C22×D411yescharacteristic
1429C22×C4C22×D411yescharacteristic
1430C22×C4C22×D411yescharacteristic
1431C22×C4C22×D411yescharacteristic
1432C22×C4C22×D411yescharacteristic
1433C22×C4C22×D411yescharacteristic
1434C22×C4C22×D414yes—
1435C22×C4C22×D411yescharacteristic
1436C22×C4C22×D411yescharacteristic
1437C22×C4C22×D411yescharacteristic
1438C22×C4C22×D411yescharacteristic
1439C22×C4C22×D411yescharacteristic
1440C22×C4C22×D411yescharacteristic
1441C22×C4C22×D411yescharacteristic
1442C22×C4C22×D411yescharacteristic
1443C22×C4C22×D414yes—
1444C22×C4C22×D411yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2514yes—
1448C22×C4C2511yescharacteristic
1449SD16—28no—
1450SD16—28no—
1451SD16—44no—
1452SD16—44no—
1453SD16—48no—
1454D8—48no—
1455M16—28no—
1456M16—44no—
1457M16—48no—
1458C2×C8—24no—
1459C2×C8—24no—
1460C2×C8—44no—
1461C2×C8—48no—
1462C2×C8C2512yes—
1463C2×C8C2512yes—
1464C2×C8C2512yes—
1465C2×C8C2512yes—
1466C2×C8C2518yes—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—21no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—21no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—28no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—24no—
1507C4⋊C4—21no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D412yes—
1520C4⋊C4C22×D412yes—
1521C4⋊C4C22×D414yes—
1522C4⋊C4C22×D412yes—
1523C4⋊C4C22×D414yes—
1524C4⋊C4C22×D412yes—
1525C4⋊C4C22×D414yes—
1526C4⋊C4C22×D412yes—
1527C4⋊C4C22×D414yes—
1528C4⋊C4C22×D412yes—
1529C4⋊C4C22×D414yes—
1530C4⋊C4C2512yes—
1531C4⋊C4C2512yes—
1532C4⋊C4C2512yes—
1533C4⋊C4C2512yes—
1534C4⋊C4C2514yes—
1535C4⋊C4C2514yes—
1536C4⋊C4C2514yes—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—22no—
1554C22⋊C4—24no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—22no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4C22×D414yes—
1566C22⋊C4C22×D414yes—
1567C22⋊C4C22×D414yes—
1568C22⋊C4C22×D414yes—
1569C22⋊C4C22×D414yes—
1570C22⋊C4C22×D414yes—
1571C22⋊C4C22×D414yes—
1572C22⋊C4C22×D414yes—
1573C22⋊C4C22×D414yes—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—24no—
1584C42—22no—
1585C42—24no—
1586C42—24no—
1587C42—24no—
1588C42—24no—
1589C42—24no—
1590C42—22no—
1591C42—28no—
1592C42C22×D411yescharacteristic
1593C42C22×D414yes—
1594C42C22×D411yescharacteristic
1595C42C22×D411yescharacteristic
1596C42C22×D411yescharacteristic
1597C42C22×D411yescharacteristic
1598C42C22×D411yescharacteristic
1599C42C22×D411yescharacteristic
1600C42C22×D411yescharacteristic
1601C42C22×D411yescharacteristic
1602C42C22×D411yescharacteristic
1603C42C22×D411yescharacteristic
1604C42C22×D411yescharacteristic
1605C42C22×D414yes—
1606C42C2511yescharacteristic
1607C42C2511yescharacteristic
1608C42C2514yes—
1609C42C2511yescharacteristic
1610C42C2511yescharacteristic
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—24no—
1615C23—41no—
1616C23—44no—
1617C23—82no—
1618C23—82no—
1619C23C23×D414yes—
1620C23C23×D411yescharacteristic
1621C23C23×D411yescharacteristic
1622C23C23×D411yescharacteristic
1623Q8—22no—
1624Q8—24no—
1625Q8—24no—
1626Q8—24no—
1627Q8—22no—
1628Q8—22no—
1629Q8—22no—
1630Q8—22no—
1631Q8—42no—
1632Q8—44no—
1633Q8—44no—
1634Q8—48no—
1635Q8—44no—
1636Q8—42no—
1637Q8—44no—
1638Q8—44no—
1639Q8—44no—
1640Q8—42no—
1641Q8—82no—
1642Q8—88no—
1643Q8—82no—
1644Q8—81no—
1645Q8—84no—
1646Q8C2×2−1+414yes—
1647D4—28no—
1648D4—28no—
1649D4—24no—
1650D4—22no—
1651D4—22no—
1652D4—24no—
1653D4—24no—
1654D4—24no—
1655D4—42no—
1656D4—44no—
1657D4—48no—
1658D4—44no—
1659D4—44no—
1660D4—44no—
1661D4—48no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—42no—
1666D4—82no—
1667D4—82no—
1668D4—81no—
1669D4—84no—
1670D4—84no—
1671D4—88no—
1672D4—88no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—24no—
1680C2×C4—21no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—28no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—44no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—48no—
1710C2×C4—44no—
1711C2×C4—42no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—48no—
1715C2×C4—44no—
1716C2×C4—84no—
1717C2×C4—88no—
1718C2×C4—82no—
1719C2×C4—84no—
1720C2×C4—88no—
1721C2×C4—81no—
1722C2×C4—82no—
1723C2×C4—81no—
1724C2×C4—82no—
1725C2×C4—82no—
1726C2×C4—88no—
1727C2×C4—84no—
1728C2×C4#57714yes—
1729C2×C4C23×D411yescharacteristic
1730C2×C4C23×D411yescharacteristic
1731C2×C4C23×D411yescharacteristic
1732C2×C4C23×D414yes—
1733C2×C4C23×D411yescharacteristic
1734C2×C4C23×D414yes—
1735C2×C4C23×D414yes—
1736C2×C4C23×D411yescharacteristic
1737C2×C4C23×D411yescharacteristic
1738C2×C4C23×D411yescharacteristic
1739C2×C4C23×D411yescharacteristic
1740C2×C4C23×D411yescharacteristic
1741C2×C4C23×D411yescharacteristic
1742C2×C4C23×D411yescharacteristic
1743C2×C4C2×2−1+412yes—
1744C2×C4#58512yes—
1745C2×C4C2611yescharacteristic
1746C8—22no—
1747C8—22no—
1748C8—22no—
1749C8—22no—
1750C8—28no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—24no—
1757C22—21no—
1758C22—24no—
1759C22—21no—
1760C22—24no—
1761C22—44no—
1762C22—42no—
1763C22—44no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—164no—
1769C22#348912yes—
1770C22C2×#57712yes—
1771C22C24×D411yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—24no—
1775C4—24no—
1776C4—21no—
1777C4—21no—
1778C4—24no—
1779C4—21no—
1780C4—21no—
1781C4—21no—
1782C4—21no—
1783C4—24no—
1784C4—42no—
1785C4—42no—
1786C4—44no—
1787C4—44no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—44no—
1793C4#348912yes—
1794C4C2×#57712yes—
1795C4C2×#57712yes—
1796C4C22×2−1+411yescharacteristic
1797C4C2×#58511yescharacteristic
1798C2—22no—
1799C2—22no—
1800C2—44no—
1801C2—41no—
1802C2—82no—
1803C2—84no—
1804C2C2×#348911yescharacteristic
1805C2C22×#57711yescharacteristic
1806C2#6309011yescharacteristic
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. #62788C2semidirect
3. #62213C2semidirect
4. #62194C2semidirect
5. #62191C2semidirect
6. #62145C2semidirect
7. #62129C2semidirect
8. #62114C2semidirect
9. #62111C2semidirect
10. #62102C2semidirect
11. #62099C2semidirect
12. #61371C2semidirect
13. #61326C2semidirect
14. #61285C2semidirect
15. #61272C2semidirect
16. #61213C2semidirect
17. #61185C2semidirect
18. #60924C2semidirect
19. #60916C2semidirect
20. #60889C2semidirect
21. #60846C2semidirect
22. #60593C2semidirect
23. C2×#3103C2semidirect
24. #60497C2semidirect
25. C2×#3078C2semidirect
26. #60268C2semidirect
35. #3523C22semidirect
38. #3522C22semidirect
41. #3516C22semidirect
62. #3482C22semidirect
64. #3480C22semidirect
66. Q8×#41C22semidirect
76. #3388C22semidirect
77. #3386C22semidirect
78. #3385C22semidirect
79. #3381C22semidirect
80. #3381C22semidirect
81. Q8×SD16C22semidirect
82. #3376C22semidirect
83. #3373C22semidirect
84. #3372C22semidirect
85. #3361C22semidirect
86. #3360C22semidirect
87. #3359C22semidirect
88. #3357C22semidirect
89. #3354C22semidirect
90. #3353C22semidirect
91. #3351C22semidirect
92. #3351C22semidirect
93. #3348C22semidirect
94. #3346C22semidirect
95. #3345C22semidirect
96. #3345C22semidirect
97. #3340C22semidirect
98. #3339C22semidirect
99. #3337C22semidirect
100. #3335C22semidirect
101. #3335C22semidirect
102. #3332C22semidirect
103. #3329C22semidirect
104. #3329C22semidirect
105. #3326C22semidirect
106. #3326C22semidirect
107. #3321C22semidirect
108. #3320C22semidirect
109. #3320C22semidirect
110. #3308C22semidirect
111. #3305C22semidirect
112. #3301C22semidirect
113. #3301C22semidirect
114. #3298C22semidirect
115. #3298C22semidirect
116. #3260C22semidirect
117. #3257C22semidirect
119. #3254C22semidirect
122. #3251C22semidirect
124. #3247C22semidirect
126. #3246C22semidirect
128. #3244C22semidirect
129. #3242C22semidirect
130. #3239C22semidirect
131. #3237C22semidirect
132. #3233C22semidirect
133. #3233C22semidirect
134. #3233C22semidirect
135. #3232C22semidirect
136. #3231C22semidirect
137. #3230C22semidirect
138. #3229C22semidirect
139. #3229C22semidirect
140. #3228C22semidirect
141. #3227C22semidirect
142. #3226C22semidirect
147. #3126C22semidirect
148. #3119C22semidirect
149. #3115C22semidirect
150. #3112C22semidirect
151. #3106C22semidirect
158. #3103C22semidirect
165. #3084C22semidirect
167. #3082C22semidirect
170. #3079C22semidirect
175. #3078C22semidirect
176. #3078C22semidirect
177. #3078C22semidirect
181. #3076C22semidirect
182. C2×#479C22semidirect
183. C2×#477C22semidirect
186. C2×#475C22semidirect
187. C2×#475C22semidirect
198. #2994C22semidirect
199. #2993C22semidirect
200. #2991C22semidirect
201. #2990C22semidirect
202. #2989C22semidirect
203. #2988C22semidirect
1365. 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
#627882
#622132
#621942
#621912
#621452
#621292
#621142
#621112
#621022
#620992
#613712
#613262
#612852
#612722
#612132
#611852
#609242
#609162
#608892
#608462
#605932
C2×#31032
#604972
C2×#30782
#602682