Finite Group Databasebeta

← #10582310

Subgroups — #10582310

Order 512.

6229 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62834C211yesmaximal, characteristic, complemented
2#62752C211yesmaximal, characteristic, complemented
3#62401C214yesmaximal, complemented
4#62346C214yesmaximal, complemented
5#62280C214yesmaximal, complemented
6#62268C214yesmaximal, complemented
7#62200C214yesmaximal, complemented
8#62164C214yesmaximal, complemented
9#62129C214yesmaximal, complemented
10#62114C212yesmaximal, complemented
11#62098C212yesmaximal, complemented
12#62052C214yesmaximal, complemented
13#62016C214yesmaximal, complemented
14#61983C214yesmaximal, complemented
15#61959C212yesmaximal, complemented
16#61951C212yesmaximal, complemented
17#60994C214yesmaximal, complemented
18#60969C211yesmaximal, characteristic, complemented
19#60949C211yesmaximal, characteristic, complemented
20#60924C214yesmaximal, complemented
21C2×#3247C211yesmaximal, characteristic, complemented
22C2×#3246C211yesmaximal, characteristic, complemented
23#60265C211yesmaximal, characteristic, complemented
24#3565—22no—
25#3564—22no—
26#3563—21no—
27#3563C2212yescomplemented
28#3561C2212yescomplemented
29#3559—21no—
30#3558—22no—
31#3558—22no—
32#3555C2212yescomplemented
33#3552C2212yescomplemented
34#3549C2212yescomplemented
35#3548C2212yescomplemented
36#3547C2212yescomplemented
37#3546—22no—
38#3546—22no—
39#3544C2212yescomplemented
40#3538C2212yescomplemented
41#3537C2214yes—
42#3536C2212yescomplemented
43#3535—22no—
44#3531—22no—
45#3519C2214yes—
46#3519C2214yescomplemented
47#3511C2212yes—
48#3511C2212yescomplemented
49#3508C2214yescomplemented
50#3506—21no—
51#3506—21no—
52#3498C2212yes—
53#3498C2212yescomplemented
54#3496—21no—
55#3496—21no—
56#3488—22no—
57#3488—22no—
58#3482C2214yescomplemented
59Q8×#41C2212yescomplemented
60#3475—22no—
61#3475C2212yescomplemented
62#3461—22no—
63#3461C2214yescomplemented
64#3458—21no—
65#3455—21no—
66#3444C2211yescharacteristic
67C2×#533C2211yescharacteristic, complemented
68C2×#532C2211yescharacteristic
69C2×#532C2211yescharacteristic
70C2×#529C2211yescharacteristic, complemented
71#3397C2214yescomplemented
72#3397C2218yescomplemented
73#3392C2214yescomplemented
74#3388C2218yescomplemented
75#3385C2214yescomplemented
76#3380C2214yescomplemented
77#3376C2218yescomplemented
78#3372C2214yescomplemented
79#3368C2218yescomplemented
80#3366C2214yescomplemented
81#3362C2214yescomplemented
82#3360C2214yescomplemented
83#3357C2214yescomplemented
84#3348C2218yescomplemented
85#3346C2218yescomplemented
86#3345C2218yescomplemented
87#3341C2214yescomplemented
88#3337C2218yescomplemented
89#3337C2218yescomplemented
90#3329C2214yescomplemented
91#3325C2214yescomplemented
92#3321C2218yescomplemented
93#3320C2218yescomplemented
94#3320C2218yescomplemented
95#3310C2218yescomplemented
96#3310C2218yescomplemented
97#3310C2218yescomplemented
98#3303C2214yescomplemented
99#3301C2218yescomplemented
100#3297C2218yescomplemented
101#3295C2218yescomplemented
102#3295C2214yescomplemented
103#3294C2218yescomplemented
104D4×SD16C2218yescomplemented
105D4×SD16C2218yescomplemented
106D4×SD16C2214yescomplemented
107#3272C2214yescomplemented
108#3265C2218yescomplemented
109#3265C2218yescomplemented
110#3264C2218yescomplemented
111#3260C2218yescomplemented
112#3260C2218yescomplemented
113#3257C2218yescomplemented
114#3257C2218yescomplemented
115#3254C2214yescomplemented
116#3254C2212yescomplemented
117#3254C2212yescomplemented
118#3251C2214yescomplemented
119#3251C2212yescomplemented
120#3251C2212yescomplemented
121#3247C2214yescomplemented
122#3247C2214yescomplemented
123#3247C2214yescomplemented
124#3247C2214yescomplemented
125#3247C2214yescomplemented
126#3246C2212yescomplemented
127#3246C2214yescomplemented
128#3246C2214yescomplemented
129#3246C2214yescomplemented
130#3246C2212yescomplemented
131#3246C2214yescomplemented
132#3241C2218yescomplemented
133#3239C2212yescomplemented
134#3237C2214yescomplemented
135#3234C2212yescomplemented
136#3233C2214yescomplemented
137#3230C2212yescomplemented
138#3226C2212yescomplemented
139#3221C2218yescomplemented
140#3217C2214yescomplemented
141#3217C2212yescomplemented
142#3213C2212yescomplemented
143#3208C2212yescomplemented
144#3208C2214yescomplemented
145#3206C2212yescomplemented
146#3200C2218yescomplemented
147#3198C2218yescomplemented
148#3193C2212yescomplemented
149#3193C2214yescomplemented
150#3192C2212yescomplemented
151#3182C2214yescomplemented
152#3179C2218yescomplemented
153#3174C2218yescomplemented
154#3171C2214yescomplemented
155#3123C2218yescomplemented
156#3118C2218yescomplemented
157#3115C2214yescomplemented
158#3112C2214yescomplemented
159#3112C2214yescomplemented
160#3110C2214yescomplemented
161#3106C2214yescomplemented
162#3105C2214yescomplemented
163#3103C2212yescomplemented
164#3103C2214yescomplemented
165#3100C2212yescomplemented
166#3081C2218yescomplemented
167#3078C2214yescomplemented
168#3076C2214yescomplemented
169C2×#477C2211yescharacteristic, complemented
170C2×#475C2212yescomplemented
171C2×#478C2212yescomplemented
172C2×#476C2211yescharacteristic, complemented
173C2×#476C2212yescomplemented
174#3062C2218yescomplemented
175#3057C2218yescomplemented
176C2×#466C2212yescomplemented
177C2×#465C2212yescomplemented
178C2×#465C2214yescomplemented
179#3042C2218yescomplemented
180#3038C2214yescomplemented
181C2×#460C2212yescomplemented
182C2×#460C2214yescomplemented
183C2×#460C2211yescharacteristic, complemented
184C2×#463C2212yescomplemented
185C2×#461C2212yescomplemented
186C2×#459C2211yescharacteristic, complemented
187#2994C2214yescomplemented
188#2992C2214yescomplemented
189#2990C2214yescomplemented
190#2989C2212yescomplemented
191#2988C2212yescomplemented
192#2962C2212yescomplemented
193#2935C2212yescomplemented
194#2929C2214yescomplemented
195#2925C2212yescomplemented
196#2920C2211yescharacteristic, complemented
197#2906C2212yescomplemented
198C22×C4⋊C8C2211yescharacteristic, complemented
199C2×H(5,𝔽2)—22no—
200C2×H(5,𝔽2)—22no—
201C22×#41—21no—
202C22×#41—21no—
203C2×AGL(1,ℤ/8)C2318yes—
204C22×SD16C2314yes—
205C22×SD16C2318yes—
206C22×SD16C2312yes—
207C22×D8C2312yes—
208C2×#131C2314yes—
209C23×C8C2312yes—
210#564—22no—
211#563—24no—
212#563—24no—
213#563—22no—
214#563—22no—
215#563—24no—
216#563—24no—
217#562—24no—
218#562—22no—
219#562—24no—
220#562—24no—
221H(3,𝔽4)—24no—
222#560—28no—
223#559—24no—
224#559—24no—
225Q82C2312yes—
226#557—22no—
227#557C2312yes—
228#557C2314yes—
229#556—22no—
230#556—22no—
231#556—22no—
232#556—24no—
233#556C2312yes—
234#556C2314yes—
235#555—22no—
236#555—22no—
237#555C2314yes—
238#555C2312yes—
239#555C2314yes—
240#554—22no—
241#554—24no—
242#554—22no—
243#554C2314yes—
244#554C2312yes—
245#554C2314yes—
246#554C2314yes—
247#554C2312yes—
248#553—24no—
249#553—24no—
250#553—22no—
251#553—22no—
252#553—22no—
253#553C2318yes—
254#553C2318yes—
255#552—24no—
256#552—22no—
257#552—22no—
258#552—22no—
259#552—24no—
260#552—24no—
261#552C2314yes—
262#552C2314yes—
263#552C2314yes—
264#551—24no—
265#551—24no—
266#551—24no—
267#550—22no—
268#550—22no—
269#550—24no—
270#550—24no—
271#550C2314yes—
272#550C2314yes—
273D4×Q8C2312yes—
274D4×Q8C2314yes—
275D4×Q8C2314yes—
276#548—24no—
277#548—24no—
278#548C2314yes—
279#548C2314yes—
280#547—24no—
281#547—22no—
282#547—22no—
283#547—22no—
284#547—22no—
285#547—22no—
286#547C2312yes—
287#547C2314yes—
288#546—24no—
289#546—24no—
290#546—28no—
291#546—28no—
292#546—24no—
293#546—24no—
294#546—24no—
295#546—24no—
296#546—24no—
297#546C2314yes—
298D42—22no—
299D42—28no—
300D42—24no—
301D42—24no—
302D42—22no—
303D42—22no—
304D42C2318yes—
305D42C2314yes—
306D42C2314yes—
307D42C2318yes—
308#544—22no—
309#544—22no—
310#544—22no—
311#544—22no—
312#544—22no—
313#544—22no—
314#544—22no—
315#544C2314yes—
316#543—22no—
317#543—22no—
318#542—24no—
319#542—22no—
320#542—22no—
321#542—24no—
322#542—24no—
323#542—24no—
324#542—24no—
325#542C2314yes—
326#542C2314yes—
327#541—22no—
328#541—24no—
329#541—24no—
330#541—24no—
331#541C2314yes—
332#541C2314yes—
333#540—22no—
334#540C2318yes—
335#540C2318yes—
336#539—24no—
337#539—22no—
338#539—22no—
339#539—22no—
340#539—22no—
341#539—24no—
342#539—24no—
343#538—28no—
344#538—28no—
345#538—24no—
346#538—24no—
347#538—22no—
348#538—22no—
349#537—22no—
350#537—22no—
351#537—24no—
352#537—24no—
353#537—22no—
354#537C2314yes—
355#536—24no—
356#536C2314yes—
357#536C2314yes—
358#535—24no—
359#535—24no—
360#535—22no—
361#535—22no—
362#535—24no—
363#535—24no—
364#535C2318yes—
365#534—24no—
366#534—24no—
367#533—24no—
368#533—24no—
369#533—22no—
370#533—24no—
371#533—21no—
372#533—21no—
373#533—21no—
374#533—21no—
375#533D411yescharacteristic
376#533D411yescharacteristic
377#533C2312yes—
378#533C2312yes—
379#533C2312yes—
380#533C2312yes—
381#533C2314yes—
382#533C2314yes—
383#533C2311yescharacteristic
384#532—21no—
385#532—21no—
386#532—21no—
387#532—21no—
388#532—21no—
389#532—21no—
390#532—21no—
391#532—21no—
392#532D411yescharacteristic
393#532D411yescharacteristic
394#532C2312yes—
395#532C2314yes—
396#532C2314yes—
397#532C2312yes—
398#532C2312yes—
399#532C2312yes—
400#532C2312yes—
401#532C2312yes—
402#532C2312yes—
403#532C2312yes—
404#532C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×#127C2311yescharacteristic
410C2×#127C2311yescharacteristic
411C2×#127C2314yes—
412#529—24no—
413#529—24no—
414#529—24no—
415#529—24no—
416#529—24no—
417#529—24no—
418#529—21no—
419#529—21no—
420#529—21no—
421#529—21no—
422#529D412yes—
423#529D412yes—
424#529D412yes—
425#529D412yes—
426#529C2312yes—
427#529C2312yes—
428#529C2312yes—
429#529C2312yes—
430#529C2314yes—
431#529C2312yes—
432#529C2312yes—
433C2×#126—21no—
434C2×#125—21no—
435C2×#125C2311yescharacteristic
436C2×#124—21no—
437C2×#124—21no—
438C2×#124C2311yescharacteristic
439#525—22no—
440#525—24no—
441#525—24no—
442#525D412yes—
443#525D412yes—
444#525C2312yes—
445C2×#123—21no—
446C2×C22⋊Q8—21no—
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2312yes—
449C2×#121—21no—
450C2×#121—21no—
451C2×#121—24no—
452C2×#121—24no—
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2312yes—
456#520—22no—
457#520—22no—
458#518C2318yes—
459C4×#41—22no—
460C4×#41—24no—
461C4×#41C2314yes—
462C4×#41C2312yes—
463C4×#41C2312yes—
464C4×#41C2312yes—
465C2×C4×Q8—21no—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2314yes—
469C2×C4×D4—21no—
470C2×C4×D4—21no—
471C2×C4×D4—21no—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×#117—21no—
476C2×#117—22no—
477C2×#117—21no—
478C22×C42C2311yescharacteristic
479#501C2318yes—
480#501C2314yes—
481#500C2314yes—
482#499C2318yes—
483#496C2314yes—
484#496C2318yes—
485#492C2318yes—
486#492C2314yes—
487#491C2318yes—
488#490C2318yes—
489#490C2314yes—
490#489C2314yes—
491#488C2318yes—
492#487C2314yes—
493#486C2314yes—
494#486C2318yes—
495#485C2318yes—
496#485C2318yes—
497#485C2318yes—
498#484C2314yes—
499#484C2318yes—
500#482C2318yes—
501#482C2318yes—
502#482C2318yes—
503#481C2314yes—
504#481C2318yes—
505#481C2314yes—
506#480C2314yes—
507#480C2318yes—
508#480C2318yes—
509#479C2318yes—
510#479C2318yes—
511#479C2318yes—
512#478C2318yes—
513#478C2318yes—
514#478C2318yes—
515#478C2314yes—
516#478C2318yes—
517#478C2318yes—
518#478C2314yes—
519#477C2314yes—
520#477C2314yes—
521#477C2314yes—
522#477C2314yes—
523#476C2314yes—
524#476C2318yes—
525#476C2318yes—
526#476C2314yes—
527#476C2314yes—
528#476C2314yes—
529#475C2314yes—
530#475C2314yes—
531#475C2318yes—
532#475C2312yes—
533#475C2312yes—
534#474C2312yes—
535#474C2314yes—
536#474C2318yes—
537#474C2312yes—
538#474C2314yes—
539#469C2318yes—
540#469C2314yes—
541#469C2314yes—
542#468C2318yes—
543#468C2318yes—
544#468C2318yes—
545#468C2314yes—
546#468C2314yes—
547#468C2318yes—
548#468C2318yes—
549#466C2318yes—
550#466C2318yes—
551#466C2318yes—
552#465C2318yes—
553#465C2318yes—
554#465C2318yes—
555#465C2318yes—
556#465C2318yes—
557#465C2318yes—
558#465C2318yes—
559#465C2318yes—
560#465C2318yes—
561#463C2318yes—
562#463C2314yes—
563#463C2314yes—
564#463C2318yes—
565#463C2318yes—
566#463C2318yes—
567#461C2314yes—
568#461C2314yes—
569#461C2314yes—
570#461C2314yes—
571#461C2318yes—
572#461C2318yes—
573#461C2318yes—
574#460C2312yes—
575#460C2314yes—
576#460C2314yes—
577#460C2312yes—
578#460C2314yes—
579#460C2314yes—
580#460C2318yes—
581#460C2314yes—
582#460C2314yes—
583#460C2318yes—
584#460C2318yes—
585#460C2318yes—
586#459C2312yes—
587#459C2312yes—
588#459C2314yes—
589#459C2318yes—
590#459C2314yes—
591#450C2314yes—
592#450C2318yes—
593#450C2318yes—
594#450C2318yes—
595#450C2318yes—
596#449C2318yes—
597#449C2318yes—
598#448C2318yes—
599#448C2314yes—
600#448C2318yes—
601#448C2318yes—
602#447C2314yes—
603#447C2314yes—
604#447C2318yes—
605#446C2314yes—
606#446C2318yes—
607C8×Q8C2314yes—
608#442C2318yes—
609#440C2318yes—
610#440C2318yes—
611#440C2318yes—
612#440C2318yes—
613#440C2318yes—
614C4×SD16C2314yes—
615C4×SD16C2318yes—
616C4×SD16C2318yes—
617C4×SD16C2314yes—
618C4×SD16C2318yes—
619C4×D8C2314yes—
620C4×D8C2314yes—
621C4×D8C2318yes—
622#436C2314yes—
623#435C2318yes—
624#435C2318yes—
625#435C2318yes—
626C8×D4C2318yes—
627C8×D4C2318yes—
628C8×D4C2314yes—
629#433C2318yes—
630#432C2312yes—
631#432C2312yes—
632#432C2314yes—
633#431C2312yes—
634#431C2314yes—
635#431C2312yes—
636#428C2318yes—
637#427C2318yes—
638C2×#107C2312yes—
639C2×#106C2312yes—
640C2×#106C2314yes—
641#424C2318yes—
642#424C2314yes—
643#423C2314yes—
644#423C2311yescharacteristic
645#423C2311yescharacteristic
646C2×C4⋊C8C2312yes—
647C2×C4⋊C8C2312yes—
648C2×C4⋊C8C2311yescharacteristic
649C2×C4⋊C8C2314yes—
650C2×C4⋊C8C2312yes—
651C2×C4⋊C8C2312yes—
652C2×C4⋊C8C2311yescharacteristic
653C2×C4⋊C8C2312yes—
654#419C2318yes—
655#418C2318yes—
656#416C2318yes—
657C2×#103C2314yes—
658C2×#103C2312yes—
659C2×#102C2312yes—
660C2×#102C2312yes—
661C2×#102C2318yes—
662C2×#102C2312yes—
663C2×#102C2314yes—
664#408C2314yes—
665#407C2312yes—
666#405C2314yes—
667C4×M16C2312yes—
668H(5,𝔽2)—88no—
669H(5,𝔽2)—88no—
670C2×#41—24no—
671C2×#41—24no—
672C2×#41—24no—
673C2×#41—22no—
674C2×#41—22no—
675C2×#41—22no—
676C2×#41—22no—
677C2×#41—22no—
678C2×#41—22no—
679C2×#41—22no—
680C2×#41—22no—
681C2×#41—24no—
682C2×#41—24no—
683C2×#41—84no—
684C2×#41—84no—
685C2×#41C2×D412yes—
686C2×#41C2×D412yes—
687C2×#41C2414yes—
688C2×#41C2412yes—
689C22×Q8—21no—
690C22×Q8—21no—
691C22×Q8—21no—
692C22×Q8C2411yescharacteristic
693C22×Q8C2412yes—
694C22×Q8C2414yes—
695C22×D4—21no—
696C22×D4—22no—
697C22×D4—22no—
698C22×D4—28no—
699C22×D4—28no—
700C22×D4—24no—
701C22×D4—24no—
702C22×D4—21no—
703C22×D4—21no—
704C22×D4—21no—
705C22×D4—21no—
706C22×D4—24no—
707C22×D4—24no—
708C22×D4C2411yescharacteristic
709C22×D4C2412yes—
710C22×D4C2412yes—
711C22×D4C2418yes—
712C23×C4—21no—
713C23×C4—22no—
714C23×C4—22no—
715C23×C4C2×D411yescharacteristic
716C23×C4C2×D411yescharacteristic
717C23×C4C2411yescharacteristic
718AGL(1,ℤ/8)—88no—
719C2×SD16—82no—
720C2×SD16—84no—
721C2×SD16—88no—
722C2×SD16C2414yes—
723C2×SD16C2418yes—
724C2×SD16C2418yes—
725C2×SD16C2418yes—
726C2×SD16C2418yes—
727C2×SD16C2414yes—
728C2×SD16C2418yes—
729C2×D8—82no—
730C2×D8C2418yes—
731C2×D8C2414yes—
732C2×D8C2414yes—
733#131—84no—
734C2×M16C2412yes—
735C2×M16C2418yes—
736C2×M16C2412yes—
737C22×C8—82no—
738C22×C8C2414yes—
739C22×C8C2412yes—
740C22×C8C2412yes—
741C22×C8C2414yes—
742C22×C8C2418yes—
743C4⋊Q8—24no—
744C4⋊Q8—24no—
745C4⋊Q8—24no—
746C4⋊Q8—24no—
747C4⋊Q8—24no—
748C4⋊Q8—22no—
749C4⋊Q8—22no—
750C4⋊Q8—24no—
751C4⋊Q8—21no—
752C4⋊Q8—21no—
753C4⋊Q8—21no—
754C4⋊Q8—21no—
755C4⋊Q8—21no—
756C4⋊Q8—21no—
757C4⋊Q8—21no—
758C4⋊Q8—21no—
759C4⋊Q8C2×D411yescharacteristic
760C4⋊Q8C2×D411yescharacteristic
761C4⋊Q8C2×D411yescharacteristic
762C4⋊Q8C2412yes—
763C4⋊Q8C2412yes—
764C4⋊Q8C2414yes—
765C4⋊Q8C2412yes—
766C4⋊Q8C2412yes—
767C4⋊Q8C2412yes—
768C4⋊Q8C2412yes—
769C4⋊Q8C2412yes—
770C4⋊Q8C2412yes—
771C4⋊Q8C2414yes—
772#127—28no—
773#127—21no—
774#127—21no—
775#127—21no—
776#127—21no—
777#127—24no—
778#127—24no—
779#127C2×D411yescharacteristic
780#127C2412yes—
781#127C2412yes—
782#127C2412yes—
783#127C2412yes—
784#127C2418yes—
785#126—24no—
786#126—24no—
787#126—24no—
788#126—24no—
789#126—24no—
790#126—28no—
791#126—28no—
792#126—24no—
793#126—24no—
794#126—24no—
795#126—24no—
796#126—24no—
797#126—24no—
798#126—24no—
799#126—22no—
800#126—22no—
801#126—22no—
802#126—22no—
803#126—24no—
804#126C2×D414yes—
805#126C2×D414yes—
806#125—24no—
807#125—24no—
808#125—24no—
809#125—24no—
810#125—24no—
811#125—24no—
812#125—24no—
813#125—24no—
814#125—24no—
815#125—24no—
816#125—24no—
817#125—24no—
818#125—22no—
819#125—22no—
820#125—22no—
821#125—22no—
822#125—22no—
823#125—22no—
824#125—21no—
825#125—21no—
826#125—24no—
827#125C2×D412yes—
828#125C2×D412yes—
829#125C2×D412yes—
830#125C2412yes—
831#125C2412yes—
832#125C2414yes—
833#125C2418yes—
834#124—28no—
835#124—24no—
836#124—24no—
837#124—24no—
838#124—24no—
839#124—24no—
840#124—24no—
841#124—28no—
842#124—28no—
843#124—22no—
844#124—22no—
845#124—22no—
846#124—22no—
847#124—22no—
848#124—22no—
849#124—22no—
850#124—22no—
851#124—21no—
852#124—21no—
853#124—24no—
854#124—24no—
855#124C2×D412yes—
856#124C2×D412yes—
857#124C2×D412yes—
858#124C2412yes—
859#124C2412yes—
860#124C2414yes—
861#123—24no—
862#123—24no—
863#123—24no—
864#123—24no—
865#123—24no—
866#123—22no—
867#123—22no—
868#123—22no—
869#123—22no—
870#123—24no—
871#123—28no—
872#123—28no—
873#123—24no—
874#123—28no—
875#123—28no—
876#123—24no—
877#123—24no—
878#123—24no—
879#123—24no—
880#123—24no—
881#123—24no—
882#123—24no—
883#123—28no—
884#123—28no—
885#123C2×D414yes—
886#123C2×D414yes—
887#123C2×D414yes—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—22no—
891C22⋊Q8—22no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—22no—
895C22⋊Q8—22no—
896C22⋊Q8—22no—
897C22⋊Q8—22no—
898C22⋊Q8—21no—
899C22⋊Q8—21no—
900C22⋊Q8—22no—
901C22⋊Q8—22no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—24no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—24no—
908C22⋊Q8—24no—
909C22⋊Q8—24no—
910C22⋊Q8—24no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—24no—
916C22⋊Q8—24no—
917C22⋊Q8—24no—
918C22⋊Q8—24no—
919C22⋊Q8—24no—
920C22⋊Q8—24no—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—24no—
924C22⋊Q8—24no—
925C22⋊Q8C2×D412yes—
926C22⋊Q8C2×D412yes—
927C22⋊Q8C2×D412yes—
928C22⋊Q8C2×D412yes—
929C22⋊Q8C2×D412yes—
930C22⋊Q8C2×D412yes—
931C22⋊Q8C2412yes—
932C22⋊Q8C2412yes—
933C22⋊Q8C2414yes—
934C22⋊Q8C2414yes—
935C22⋊Q8C2414yes—
936C22⋊Q8C2414yes—
937C22⋊Q8C2414yes—
938#121—28no—
939#121—28no—
940#121—24no—
941#121—24no—
942#121—22no—
943#121—22no—
944#121—24no—
945#121—24no—
946#121—24no—
947#121—24no—
948#121—24no—
949#121—22no—
950#121—22no—
951#121—22no—
952#121—22no—
953#121—22no—
954#121—22no—
955#121—22no—
956#121—22no—
957#121—21no—
958#121—21no—
959#121—22no—
960#121—22no—
961#121—22no—
962#121—22no—
963#121—24no—
964#121—24no—
965#121—24no—
966#121—24no—
967#121—24no—
968#121—24no—
969#121—28no—
970#121—28no—
971#121—28no—
972#121—28no—
973#121—28no—
974#121—28no—
975#121—24no—
976#121—28no—
977#121—28no—
978#121C2×D412yes—
979#121C2×D412yes—
980#121C2×D412yes—
981#121C2×D412yes—
982#121C2×D412yes—
983#121C2×D412yes—
984#121C2412yes—
985#121C2412yes—
986#121C2414yes—
987#121C2414yes—
988#121C2414yes—
989#121C2414yes—
990#121C2414yes—
991#121C2418yes—
992#121C2418yes—
993#120—24no—
994#120—28no—
995#120—28no—
996#120—28no—
997#120—28no—
998#120—28no—
999#120—28no—
1000#120—28no—
1001#120—28no—
1002#120C2×D414yes—
1003C4×Q8—22no—
1004C4×Q8—22no—
1005C4×Q8—24no—
1006C4×Q8—22no—
1007C4×Q8—22no—
1008C4×Q8—22no—
1009C4×Q8—22no—
1010C4×Q8—24no—
1011C4×Q8—22no—
1012C4×Q8—21no—
1013C4×Q8—21no—
1014C4×Q8—22no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8C2×D412yes—
1020C4×Q8C2×D412yes—
1021C4×Q8C2×D412yes—
1022C4×Q8C2×D412yes—
1023C4×Q8C2412yes—
1024C4×Q8C2414yes—
1025C4×Q8C2412yes—
1026C4×Q8C2414yes—
1027C4×Q8C2414yes—
1028C4×Q8C2414yes—
1029C4×Q8C2414yes—
1030C4×Q8C2412yes—
1031C4×Q8C2412yes—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—22no—
1036C4×D4—22no—
1037C4×D4—22no—
1038C4×D4—22no—
1039C4×D4—22no—
1040C4×D4—22no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—22no—
1051C4×D4—22no—
1052C4×D4—22no—
1053C4×D4—22no—
1054C4×D4—22no—
1055C4×D4—22no—
1056C4×D4—22no—
1057C4×D4—22no—
1058C4×D4—21no—
1059C4×D4—21no—
1060C4×D4—22no—
1061C4×D4—22no—
1062C4×D4—22no—
1063C4×D4—22no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4C2×D414yes—
1067C4×D4C2×D414yes—
1068C4×D4C2×D414yes—
1069C4×D4C2×D414yes—
1070C4×D4C2×D412yes—
1071C4×D4C2×D412yes—
1072C4×D4C2×D412yes—
1073C4×D4C2×D412yes—
1074C4×D4C2412yes—
1075C4×D4C2414yes—
1076C4×D4C2414yes—
1077C4×D4C2412yes—
1078C4×D4C2414yes—
1079C4×D4C2414yes—
1080C4×D4C2414yes—
1081C4×D4C2418yes—
1082C4×D4C2418yes—
1083C4×D4C2414yes—
1084C4×D4C2414yes—
1085C4×D4C2412yes—
1086C4×D4C2412yes—
1087#117—22no—
1088#117—22no—
1089#117—22no—
1090#117—22no—
1091#117—24no—
1092#117—22no—
1093#117—22no—
1094#117—24no—
1095#117—24no—
1096#117—24no—
1097#117—24no—
1098#117—24no—
1099#117—24no—
1100#117—24no—
1101#117—22no—
1102#117—22no—
1103#117—22no—
1104#117—22no—
1105#117—24no—
1106#117C2×D412yes—
1107#117C2×D412yes—
1108#117C2×D414yes—
1109#117C2×D414yes—
1110#117C2414yes—
1111#117C2418yes—
1112#117C2414yes—
1113#117C2412yes—
1114C2×C4⋊C4—21no—
1115C2×C4⋊C4—21no—
1116C2×C4⋊C4—21no—
1117C2×C4⋊C4—21no—
1118C2×C4⋊C4—21no—
1119C2×C4⋊C4—21no—
1120C2×C4⋊C4—21no—
1121C2×C4⋊C4—21no—
1122C2×C4⋊C4—22no—
1123C2×C4⋊C4—22no—
1124C2×C4⋊C4—21no—
1125C2×C4⋊C4—24no—
1126C2×C4⋊C4—22no—
1127C2×C4⋊C4—22no—
1128C2×C4⋊C4—24no—
1129C2×C4⋊C4—24no—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C22⋊C4—22no—
1137C2×C22⋊C4—21no—
1138C2×C22⋊C4—21no—
1139C2×C22⋊C4—21no—
1140C2×C22⋊C4—22no—
1141C2×C22⋊C4—22no—
1142C2×C22⋊C4—21no—
1143C2×C22⋊C4—22no—
1144C2×C22⋊C4—22no—
1145C2×C22⋊C4—21no—
1146C2×C22⋊C4—24no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—28no—
1149C2×C42—21no—
1150C2×C42—22no—
1151C2×C42—24no—
1152C2×C42—24no—
1153C2×C42C2×D411yescharacteristic
1154C2×C42C2×D411yescharacteristic
1155C2×C42C2×D411yescharacteristic
1156C2×C42C2×D411yescharacteristic
1157C2×C42C2×D411yescharacteristic
1158C2×C42C2×D411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2414yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166#107C2418yes—
1167#107C2414yes—
1168#107C2418yes—
1169#107C2418yes—
1170#107C2414yes—
1171#106C2418yes—
1172#106C2418yes—
1173#106C2418yes—
1174#106C2414yes—
1175#106C2414yes—
1176C4⋊C8C2412yes—
1177C4⋊C8C2412yes—
1178C4⋊C8C2414yes—
1179C4⋊C8C2412yes—
1180C4⋊C8C2414yes—
1181C4⋊C8C2412yes—
1182C4⋊C8C2412yes—
1183C4⋊C8C2418yes—
1184C4⋊C8C2412yes—
1185C4⋊C8C2418yes—
1186C4⋊C8C2412yes—
1187C4⋊C8C2412yes—
1188#103C2418yes—
1189#103C2418yes—
1190#103C2418yes—
1191#103C2418yes—
1192#103C2414yes—
1193#103C2414yes—
1194#103C2418yes—
1195#102C2418yes—
1196#102C2414yes—
1197#102C2418yes—
1198#102C2418yes—
1199#102C2418yes—
1200#102C2418yes—
1201#102C2418yes—
1202#102C2414yes—
1203#102C2414yes—
1204#102C2414yes—
1205#102C2414yes—
1206#102C2414yes—
1207#102C2418yes—
1208C22⋊C8C2414yes—
1209C22⋊C8C2414yes—
1210C22⋊C8C2418yes—
1211C22⋊C8C2418yes—
1212#97C2414yes—
1213#97C2418yes—
1214C4×C8C2414yes—
1215C4×C8C2418yes—
1216C24—21no—
1217C24—22no—
1218C24—22no—
1219C24—28no—
1220C24C22×D411yescharacteristic
1221#41—28no—
1222#41—42no—
1223#41—42no—
1224#41—44no—
1225#41—48no—
1226#41—44no—
1227#41—44no—
1228#41—48no—
1229#41—84no—
1230#41—84no—
1231#41—84no—
1232#41—84no—
1233#41—88no—
1234#41—84no—
1235#41—88no—
1236#41—88no—
1237#41—84no—
1238#41—88no—
1239#41—88no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—21no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—24no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—41no—
1251C2×Q8—42no—
1252C2×Q8—44no—
1253C2×Q8—41no—
1254C2×Q8—42no—
1255C2×Q8—44no—
1256C2×Q8—82no—
1257C2×Q8—82no—
1258C2×Q8—82no—
1259C2×Q8C22×D412yes—
1260C2×Q8C22×D412yes—
1261C2×Q8C22×D412yes—
1262C2×Q8C2512yes—
1263C2×Q8C2514yes—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—28no—
1271C2×D4—28no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—28no—
1283C2×D4—21no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—28no—
1287C2×D4—28no—
1288C2×D4—41no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—48no—
1292C2×D4—41no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—48no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—82no—
1299C2×D4—88no—
1300C2×D4—88no—
1301C2×D4—82no—
1302C2×D4—88no—
1303C2×D4—88no—
1304C2×D4—816no—
1305C2×D4—816no—
1306C2×D4—82no—
1307C2×D4—84no—
1308C2×D4—84no—
1309C2×D4C22×D414yes—
1310C2×D4C22×D412yes—
1311C2×D4C22×D414yes—
1312C2×D4C22×D412yes—
1313C2×D4C22×D414yes—
1314C2×D4C22×D412yes—
1315C2×D4C2512yes—
1316C2×D4C2514yes—
1317C2×D4C2514yes—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—22no—
1323C22×C4—21no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—28no—
1337C22×C4—28no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—84no—
1343C22×C4—84no—
1344C22×C4C22×D411yescharacteristic
1345C22×C4C22×D414yes—
1346C22×C4C22×D411yescharacteristic
1347C22×C4C22×D411yescharacteristic
1348C22×C4C22×D411yescharacteristic
1349C22×C4C22×D411yescharacteristic
1350C22×C4C22×D411yescharacteristic
1351C22×C4C22×D411yescharacteristic
1352C22×C4C22×D411yescharacteristic
1353C22×C4C22×D411yescharacteristic
1354C22×C4C22×D411yescharacteristic
1355C22×C4C22×D411yescharacteristic
1356C22×C4C22×D411yescharacteristic
1357C22×C4C22×D411yescharacteristic
1358C22×C4C22×D411yescharacteristic
1359C22×C4C22×D414yes—
1360C22×C4C22×D411yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2514yes—
1364C22×C4C2511yescharacteristic
1365SD16—48no—
1366SD16—48no—
1367SD16—44no—
1368SD16—48no—
1369SD16—48no—
1370SD16—44no—
1371SD16—48no—
1372D8—48no—
1373D8—44no—
1374D8—44no—
1375M16—42no—
1376M16—42no—
1377M16—48no—
1378C2×C8—44no—
1379C2×C8—42no—
1380C2×C8—42no—
1381C2×C8—44no—
1382C2×C8—48no—
1383C2×C8C2514yes—
1384C2×C8C2514yes—
1385C2×C8C2514yes—
1386C2×C8C2514yes—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4C22×D412yes—
1429C4⋊C4C22×D412yes—
1430C4⋊C4C22×D412yes—
1431C4⋊C4C22×D412yes—
1432C4⋊C4C22×D414yes—
1433C4⋊C4C22×D414yes—
1434C4⋊C4C22×D414yes—
1435C4⋊C4C22×D414yes—
1436C4⋊C4C22×D414yes—
1437C4⋊C4C22×D414yes—
1438C4⋊C4C22×D412yes—
1439C4⋊C4C22×D412yes—
1440C4⋊C4C2512yes—
1441C4⋊C4C2514yes—
1442C4⋊C4C2512yes—
1443C4⋊C4C2514yes—
1444C4⋊C4C2514yes—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—22no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—22no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4C22×D414yes—
1479C22⋊C4C22×D414yes—
1480C22⋊C4C22×D414yes—
1481C22⋊C4C22×D414yes—
1482C22⋊C4C22×D414yes—
1483C22⋊C4C22×D414yes—
1484C22⋊C4C22×D414yes—
1485C22⋊C4C22×D414yes—
1486C22⋊C4C22×D414yes—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—28no—
1496C42C22×D414yes—
1497C42C22×D411yescharacteristic
1498C42C22×D411yescharacteristic
1499C42C22×D411yescharacteristic
1500C42C22×D411yescharacteristic
1501C42C22×D411yescharacteristic
1502C42C22×D411yescharacteristic
1503C42C22×D411yescharacteristic
1504C42C22×D411yescharacteristic
1505C42C22×D411yescharacteristic
1506C42C22×D411yescharacteristic
1507C42C22×D411yescharacteristic
1508C42C22×D411yescharacteristic
1509C42C22×D414yes—
1510C42C2511yescharacteristic
1511C42C2514yes—
1512C42C2511yescharacteristic
1513C42C2511yescharacteristic
1514C42C2511yescharacteristic
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—24no—
1520C23—41no—
1521C23—44no—
1522C23—42no—
1523C23—44no—
1524C23—82no—
1525C23—82no—
1526C23—82no—
1527C23—81no—
1528C23—82no—
1529C23—81no—
1530C23—88no—
1531C23—88no—
1532C23—88no—
1533C23C23×D414yes—
1534C23C23×D411yescharacteristic
1535C23C23×D411yescharacteristic
1536C23C23×D411yescharacteristic
1537Q8—24no—
1538Q8—22no—
1539Q8—24no—
1540Q8—22no—
1541Q8—24no—
1542Q8—42no—
1543Q8—42no—
1544Q8—44no—
1545Q8—44no—
1546Q8—81no—
1547Q8—82no—
1548Q8—84no—
1549Q8—82no—
1550Q8—82no—
1551Q8—82no—
1552Q8—82no—
1553Q8—84no—
1554D4—28no—
1555D4—28no—
1556D4—22no—
1557D4—24no—
1558D4—24no—
1559D4—22no—
1560D4—24no—
1561D4—24no—
1562D4—24no—
1563D4—42no—
1564D4—42no—
1565D4—44no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—48no—
1570D4—44no—
1571D4—48no—
1572D4—44no—
1573D4—44no—
1574D4—44no—
1575D4—81no—
1576D4—82no—
1577D4—82no—
1578D4—88no—
1579D4—88no—
1580D4—88no—
1581D4—82no—
1582D4—82no—
1583D4—82no—
1584D4—88no—
1585D4—88no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—28no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—44no—
1621C2×C4—48no—
1622C2×C4—44no—
1623C2×C4—42no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—88no—
1630C2×C4—88no—
1631C2×C4—84no—
1632C2×C4—84no—
1633C2×C4—82no—
1634C2×C4—82no—
1635C2×C4—81no—
1636C2×C4—82no—
1637C2×C4—84no—
1638C2×C4—81no—
1639C2×C4—84no—
1640C2×C4#57714yes—
1641C2×C4C23×D411yescharacteristic
1642C2×C4C23×D414yes—
1643C2×C4C23×D414yes—
1644C2×C4C23×D414yes—
1645C2×C4C23×D411yescharacteristic
1646C2×C4C23×D411yescharacteristic
1647C2×C4C23×D411yescharacteristic
1648C2×C4C23×D411yescharacteristic
1649C2×C4C23×D411yescharacteristic
1650C2×C4C23×D411yescharacteristic
1651C2×C4C23×D411yescharacteristic
1652C2×C4C23×D411yescharacteristic
1653C2×C4C23×D411yescharacteristic
1654C2×C4C23×D411yescharacteristic
1655C2×C4C2611yescharacteristic
1656C8—24no—
1657C8—24no—
1658C8—24no—
1659C8—24no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—24no—
1666C22—21no—
1667C22—24no—
1668C22—21no—
1669C22—24no—
1670C22—44no—
1671C22—42no—
1672C22—44no—
1673C22—44no—
1674C22—44no—
1675C22—44no—
1676C22—42no—
1677C22—42no—
1678C22—44no—
1679C22—44no—
1680C22—162no—
1681C22—164no—
1682C22—164no—
1683C22—328no—
1684C22C2×#57712yes—
1685C22#358512yes—
1686C22C24×D411yescharacteristic
1687C4—21no—
1688C4—21no—
1689C4—24no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—24no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—24no—
1699C4—42no—
1700C4—44no—
1701C4—44no—
1702C4—44no—
1703C4—42no—
1704C4—44no—
1705C4—42no—
1706C4C2×#57712yes—
1707C4C2×#57712yes—
1708C4H(7,𝔽2)11yescharacteristic
1709C42−1+611yescharacteristic
1710C2—22no—
1711C2—22no—
1712C2—41no—
1713C2—44no—
1714C2—82no—
1715C2—84no—
1716C2—84no—
1717C2#6285311yescharacteristic
1718C2C22×#57711yescharacteristic
1719C2C2×#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. #62834C2semidirect
2. #62752C2semidirect
3. #62401C2semidirect
4. #62346C2semidirect
5. #62280C2semidirect
6. #62268C2semidirect
7. #62200C2semidirect
8. #62164C2semidirect
9. #62129C2semidirect
10. #62114C2semidirect
11. #62098C2semidirect
12. #62052C2semidirect
13. #62016C2semidirect
14. #61983C2semidirect
15. #61959C2semidirect
16. #61951C2semidirect
17. #60994C2semidirect
18. #60969C2semidirect
19. #60949C2semidirect
20. #60924C2semidirect
21. C2×#3247C2semidirect
22. C2×#3246C2semidirect
23. #60265C2semidirect
27. #3563C22semidirect
28. #3561C22semidirect
32. #3555C22semidirect
33. #3552C22semidirect
34. #3549C22semidirect
35. #3548C22semidirect
36. #3547C22semidirect
39. #3544C22semidirect
40. #3538C22semidirect
42. #3536C22semidirect
46. #3519C22semidirect
48. #3511C22semidirect
49. #3508C22semidirect
53. #3498C22semidirect
58. #3482C22semidirect
59. Q8×#41C22semidirect
61. #3475C22semidirect
63. #3461C22semidirect
67. C2×#533C22semidirect
70. C2×#529C22semidirect
71. #3397C22semidirect
72. #3397C22semidirect
73. #3392C22semidirect
74. #3388C22semidirect
75. #3385C22semidirect
76. #3380C22semidirect
77. #3376C22semidirect
78. #3372C22semidirect
79. #3368C22semidirect
80. #3366C22semidirect
81. #3362C22semidirect
82. #3360C22semidirect
83. #3357C22semidirect
84. #3348C22semidirect
85. #3346C22semidirect
86. #3345C22semidirect
87. #3341C22semidirect
88. #3337C22semidirect
89. #3337C22semidirect
90. #3329C22semidirect
91. #3325C22semidirect
92. #3321C22semidirect
93. #3320C22semidirect
94. #3320C22semidirect
95. #3310C22semidirect
96. #3310C22semidirect
97. #3310C22semidirect
98. #3303C22semidirect
99. #3301C22semidirect
100. #3297C22semidirect
101. #3295C22semidirect
102. #3295C22semidirect
103. #3294C22semidirect
104. D4×SD16C22semidirect
105. D4×SD16C22semidirect
106. D4×SD16C22semidirect
107. #3272C22semidirect
108. #3265C22semidirect
109. #3265C22semidirect
110. #3264C22semidirect
111. #3260C22semidirect
112. #3260C22semidirect
113. #3257C22semidirect
114. #3257C22semidirect
115. #3254C22semidirect
116. #3254C22semidirect
117. #3254C22semidirect
118. #3251C22semidirect
119. #3251C22semidirect
120. #3251C22semidirect
121. #3247C22semidirect
122. #3247C22semidirect
123. #3247C22semidirect
124. #3247C22semidirect
125. #3247C22semidirect
126. #3246C22semidirect
127. #3246C22semidirect
128. #3246C22semidirect
129. #3246C22semidirect
130. #3246C22semidirect
131. #3246C22semidirect
132. #3241C22semidirect
133. #3239C22semidirect
134. #3237C22semidirect
135. #3234C22semidirect
136. #3233C22semidirect
137. #3230C22semidirect
138. #3226C22semidirect
139. #3221C22semidirect
140. #3217C22semidirect
141. #3217C22semidirect
142. #3213C22semidirect
143. #3208C22semidirect
144. #3208C22semidirect
145. #3206C22semidirect
146. #3200C22semidirect
147. #3198C22semidirect
148. #3193C22semidirect
149. #3193C22semidirect
150. #3192C22semidirect
151. #3182C22semidirect
152. #3179C22semidirect
153. #3174C22semidirect
154. #3171C22semidirect
155. #3123C22semidirect
156. #3118C22semidirect
157. #3115C22semidirect
158. #3112C22semidirect
159. #3112C22semidirect
160. #3110C22semidirect
161. #3106C22semidirect
162. #3105C22semidirect
163. #3103C22semidirect
164. #3103C22semidirect
165. #3100C22semidirect
166. #3081C22semidirect
167. #3078C22semidirect
168. #3076C22semidirect
169. C2×#477C22semidirect
170. C2×#475C22semidirect
171. C2×#478C22semidirect
172. C2×#476C22semidirect
173. C2×#476C22semidirect
174. #3062C22semidirect
175. #3057C22semidirect
176. C2×#466C22semidirect
177. C2×#465C22semidirect
178. C2×#465C22semidirect
179. #3042C22semidirect
180. #3038C22semidirect
181. C2×#460C22semidirect
182. C2×#460C22semidirect
183. C2×#460C22semidirect
184. C2×#463C22semidirect
185. C2×#461C22semidirect
186. C2×#459C22semidirect
187. #2994C22semidirect
188. #2992C22semidirect
189. #2990C22semidirect
190. #2989C22semidirect
191. #2988C22semidirect
192. #2962C22semidirect
193. #2935C22semidirect
194. #2929C22semidirect
195. #2925C22semidirect
196. #2920C22semidirect
197. #2906C22semidirect
198. C22×C4⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#628342
#627522
#624012
#623462
#622802
#622682
#622002
#621642
#621292
#621142
#620982
#620522
#620162
#619832
#619592
#619512
#609942
#609692
#609492
#609242
C2×#32472
C2×#32462
#602652