Finite Group Databasebeta

← #10582313

Subgroups — #10582313

Order 512.

6041 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62835C211yesmaximal, characteristic, complemented
2#62752C211yesmaximal, characteristic, complemented
3#62407C214yesmaximal, complemented
4#62356C214yesmaximal, complemented
5#62281C214yesmaximal, complemented
6#62269C214yesmaximal, complemented
7#62202C214yesmaximal, complemented
8#62169C214yesmaximal, complemented
9#62131C214yesmaximal, complemented
10#62107C212yesmaximal, complemented
11#62099C212yesmaximal, complemented
12#62054C214yesmaximal, complemented
13#62021C214yesmaximal, complemented
14#61981C214yesmaximal, complemented
15#61966C212yesmaximal, complemented
16#61950C212yesmaximal, complemented
17#60992C214yesmaximal, complemented
18#60971C211yesmaximal, characteristic, complemented
19#60949C211yesmaximal, characteristic, complemented
20#60931C214yesmaximal, complemented
21C2×#3248C211yesmaximal, characteristic, complemented
22C2×#3246C211yesmaximal, characteristic, complemented
23#60265C211yesmaximal, characteristic, complemented
24#3565—22no—
25#3564—22no—
26#3563—21no—
27#3563C2212yescomplemented
28#3561—22no—
29#3561C2212yescomplemented
30#3559—21no—
31#3559—22no—
32#3555C2212yescomplemented
33#3554—22no—
34#3552C2212yes—
35#3550C2212yescomplemented
36#3548C2212yescomplemented
37#3547—22no—
38#3547C2212yescomplemented
39#3544C2212yes—
40#3538C2212yes—
41#3536C2212yes—
42#3536C2214yes—
43#3535—22no—
44#3531—22no—
45#3522C2214yes—
46#3520C2214yescomplemented
47#3511C2212yes—
48#3511C2214yescomplemented
49#3508C2212yescomplemented
50#3507—21no—
51#3506—21no—
52#3503C2212yescomplemented
53#3501—21no—
54#3499C2212yes—
55#3497—21no—
56#3494—22no—
57#3489—22no—
58#3482C2214yes—
59Q8×#41C2212yescomplemented
60#3475—22no—
61#3475C2212yescomplemented
62#3461—22no—
63#3461C2214yescomplemented
64#3458—21no—
65#3455—21no—
66#3444C2211yescharacteristic
67C2×#533C2211yescharacteristic
68C2×#533C2211yescharacteristic
69C2×#532C2211yescharacteristic
70C2×#529C2211yescharacteristic
71#3401C2218yescomplemented
72#3398C2214yescomplemented
73#3393C2214yescomplemented
74#3387C2218yescomplemented
75#3384C2214yescomplemented
76Q8×SD16C2214yescomplemented
77#3371C2218yescomplemented
78#3369C2214yescomplemented
79#3369C2218yescomplemented
80#3367C2214yescomplemented
81#3360C2214yescomplemented
82#3359C2214yescomplemented
83#3354C2214yescomplemented
84#3344C2218yescomplemented
85#3344C2218yescomplemented
86#3343C2218yescomplemented
87#3335C2218yes—
88#3335C2218yescomplemented
89#3335C2214yescomplemented
90#3331C2214yescomplemented
91#3330C2214yescomplemented
92#3317C2218yescomplemented
93#3316C2218yes—
94#3316C2218yescomplemented
95#3316C2218yescomplemented
96#3306C2218yes—
97#3306C2218yescomplemented
98#3303C2214yescomplemented
99#3300C2218yescomplemented
100#3299C2218yescomplemented
101#3298C2218yescomplemented
102#3298C2214yescomplemented
103#3296C2218yescomplemented
104#3283C2214yescomplemented
105#3282C2218yes—
106#3282C2218yescomplemented
107#3276C2214yescomplemented
108#3271C2218yescomplemented
109#3270C2218yescomplemented
110#3266C2218yescomplemented
111#3263C2218yescomplemented
112#3263C2218yescomplemented
113#3258C2218yescomplemented
114#3258C2218yescomplemented
115#3255C2212yescomplemented
116#3255C2214yescomplemented
117#3255C2212yescomplemented
118#3251C2212yes—
119#3251C2212yes—
120#3251C2214yescomplemented
121#3248C2214yes—
122#3248C2214yes—
123#3248C2214yescomplemented
124#3248C2214yescomplemented
125#3248C2214yescomplemented
126#3246C2212yes—
127#3246C2214yes—
128#3246C2212yes—
129#3246C2214yescomplemented
130#3246C2214yescomplemented
131#3246C2214yescomplemented
132#3244C2218yescomplemented
133#3239C2212yes—
134#3239C2214yescomplemented
135#3234C2212yes—
136#3229C2212yescomplemented
137#3229C2212yescomplemented
138#3229C2214yescomplemented
139#3225C2218yescomplemented
140#3217C2212yes—
141#3216C2214yescomplemented
142#3213C2212yes—
143#3212C2214yescomplemented
144#3209C2212yescomplemented
145#3209C2212yescomplemented
146#3204C2218yescomplemented
147#3201C2218yescomplemented
148#3195C2214yes—
149#3193C2212yes—
150#3192C2212yes—
151#3185C2214yescomplemented
152#3178C2218yescomplemented
153#3173C2218yescomplemented
154#3171C2214yes—
155#3125C2218yescomplemented
156#3120C2218yescomplemented
157#3115C2214yescomplemented
158#3113C2214yescomplemented
159#3113C2214yescomplemented
160#3113C2214yescomplemented
161#3107C2214yescomplemented
162#3105C2214yes—
163#3103C2212yes—
164#3103C2214yescomplemented
165#3100C2212yes—
166#3084C2218yescomplemented
167#3079C2214yescomplemented
168C2×#479C2212yescomplemented
169C2×#475C2214yescomplemented
170C2×#475C2211yescharacteristic, complemented
171C2×#475C2212yescomplemented
172C2×#476C2212yescomplemented
173C2×#474C2211yescharacteristic, complemented
174#3063C2218yescomplemented
175#3060C2218yescomplemented
176C2×#467C2212yes—
177C2×#465C2212yes—
178C2×#465C2214yes—
179#3046C2218yescomplemented
180#3037C2214yescomplemented
181#3035C2214yescomplemented
182C2×#464C2212yescomplemented
183C2×#462C2211yescharacteristic, complemented
184C2×#460C2212yescomplemented
185C2×#461C2212yescomplemented
186C2×#461C2211yescharacteristic, complemented
187#2994C2214yescomplemented
188#2992C2214yescomplemented
189#2990C2214yescomplemented
190#2989C2212yescomplemented
191#2988C2212yescomplemented
192#2962C2212yescomplemented
193#2935C2212yescomplemented
194#2929C2214yes—
195#2925C2212yescomplemented
196#2920C2211yescharacteristic
197#2906C2212yescomplemented
198C22×C4⋊C8C2211yescharacteristic
199C2×2−1+4—22no—
200C22×#41—21no—
201C2×#137C2318yes—
202C2×#135C2318yes—
203C22×Q16C2312yes—
204C22×SD16C2314yes—
205C22×SD16C2312yes—
206C2×#131C2314yes—
207C23×C8C2312yes—
208#564—22no—
209#563—24no—
210#563—24no—
211#563—22no—
212#563—24no—
213#563—22no—
214#563—24no—
215#563—24no—
216#562—22no—
217#562—24no—
218#562—24no—
219#562—28no—
220#562—24no—
221#559—24no—
222#559—22no—
223#559C2314yes—
224Q82C2312yes—
225Q82C2314yes—
226#557—22no—
227#557—22no—
228#557C2312yes—
229#557C2314yes—
230#556—22no—
231#556—22no—
232#556—24no—
233#556—24no—
234#556C2314yes—
235#556C2312yes—
236#556C2314yes—
237#555—22no—
238#555—24no—
239#555—22no—
240#555C2312yes—
241#554—22no—
242#554—24no—
243#554—22no—
244#554—22no—
245#554—24no—
246#554—24no—
247#554—22no—
248#554C2312yes—
249#554C2312yes—
250#554C2318yes—
251#554C2314yes—
252#554C2314yes—
253#553—22no—
254#553—22no—
255#553—22no—
256#553—24no—
257#553—24no—
258#553—24no—
259#552—24no—
260#552—24no—
261#552—22no—
262#552—22no—
263#552—22no—
264#552—24no—
265#552—24no—
266#552C2314yes—
267#552C2314yes—
268#552C2314yes—
269#551—24no—
270#551—28no—
271#551—24no—
272#551—24no—
273#550—22no—
274#550—22no—
275#550C2314yes—
276D4×Q8—22no—
277D4×Q8—22no—
278D4×Q8—24no—
279D4×Q8—22no—
280D4×Q8C2314yes—
281D4×Q8C2312yes—
282D4×Q8C2314yes—
283D4×Q8C2314yes—
284#548—24no—
285#548—24no—
286#548—24no—
287#548C2314yes—
288#548C2314yes—
289#548C2318yes—
290#547—24no—
291#547—28no—
292#547—22no—
293#547—24no—
294#547—24no—
295#547—22no—
296#547C2312yes—
297#547C2314yes—
298#547C2314yes—
299#547C2314yes—
300#547C2318yes—
301#546—24no—
302#546—28no—
303#546—24no—
304#546C2314yes—
305#546C2318yes—
306#544—22no—
307#544—22no—
308#544—22no—
309#544—22no—
310#544—22no—
311#544—22no—
312#544—22no—
313#544—22no—
314#544—24no—
315#544C2314yes—
316#543—22no—
317#543—22no—
318#543—24no—
319#542—24no—
320#542—28no—
321#542—22no—
322#542—22no—
323#542—24no—
324#542—24no—
325#542—24no—
326#542—24no—
327#542C2314yes—
328#542C2314yes—
329#542C2318yes—
330#542C2318yes—
331#541—22no—
332#541—24no—
333#541—24no—
334#541—24no—
335#541C2314yes—
336#541C2314yes—
337#540—22no—
338#540—24no—
339#540—24no—
340#539—28no—
341#539—24no—
342#539—22no—
343#539—24no—
344#539—22no—
345#539—22no—
346#539—22no—
347#539—24no—
348#539—24no—
349#538—22no—
350#538—22no—
351#538—24no—
352#537—22no—
353#537—22no—
354#537—24no—
355#537—24no—
356#537C2318yes—
357#537C2314yes—
358#536—24no—
359#536—24no—
360#536—22no—
361#536—24no—
362#536C2314yes—
363#536C2314yes—
364#535—22no—
365#533—24no—
366#533—24no—
367#533—22no—
368#533—24no—
369#533—21no—
370#533—21no—
371#533—21no—
372#533—21no—
373#533—21no—
374#533—21no—
375#533—21no—
376#533—21no—
377#533D411yescharacteristic
378#533D411yescharacteristic
379#533C2314yes—
380#533C2312yes—
381#533C2312yes—
382#533C2312yes—
383#533C2312yes—
384#533C2312yes—
385#533C2312yes—
386#533C2312yes—
387#533C2312yes—
388#533C2314yes—
389#533C2311yescharacteristic
390#532—24no—
391#532—21no—
392#532—21no—
393#532—21no—
394#532—21no—
395#532D411yescharacteristic
396#532D411yescharacteristic
397#532C2314yes—
398#532C2312yes—
399#532C2314yes—
400#532C2312yes—
401#532C2312yes—
402#532C2312yes—
403#532C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2314yes—
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2311yescharacteristic
410C2×#127C2311yescharacteristic
411#529—24no—
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×#125—21no—
436C2×#125C2311yescharacteristic
437C2×#124—21no—
438C2×#124C2311yescharacteristic
439#525—22no—
440#525—24no—
441#525D412yes—
442#525D412yes—
443#525C2312yes—
444C2×#123—21no—
445C2×C22⋊Q8—21no—
446C2×C22⋊Q8—21no—
447C2×C22⋊Q8—24no—
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121—21no—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454#520—22no—
455#520—22no—
456#520C2318yes—
457#518—22no—
458C4×#41—22no—
459C4×#41—24no—
460C4×#41C2314yes—
461C4×#41C2312yes—
462C4×#41C2312yes—
463C4×#41C2312yes—
464C2×C4×Q8—21no—
465C2×C4×Q8—21no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2314yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2312yes—
470C2×C4×D4—21no—
471C2×C4×D4—21no—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×#117—21no—
475C2×#117—21no—
476C2×#117—22no—
477C2×#117—21no—
478C22×C42C2311yescharacteristic
479#501C2318yes—
480#501C2314yes—
481#498C2318yes—
482#498C2314yes—
483#497C2318yes—
484#496C2314yes—
485#495C2318yes—
486#494C2314yes—
487#490C2314yes—
488#489C2318yes—
489#489C2314yes—
490#489C2318yes—
491#488C2318yes—
492#487C2314yes—
493#487C2314yes—
494#487C2318yes—
495#485C2318yes—
496#484C2318yes—
497#484C2314yes—
498#483C2318yes—
499#483C2318yes—
500#483C2318yes—
501#483C2318yes—
502#483C2318yes—
503#482C2318yes—
504#481C2314yes—
505#481C2318yes—
506#481C2314yes—
507#481C2318yes—
508#480C2314yes—
509#479C2318yes—
510#479C2318yes—
511#479C2318yes—
512#478C2314yes—
513#478C2318yes—
514#478C2314yes—
515#477C2318yes—
516#476C2314yes—
517#476C2318yes—
518#476C2318yes—
519#476C2314yes—
520#476C2318yes—
521#475C2312yes—
522#475C2314yes—
523#475C2314yes—
524#475C2314yes—
525#475C2314yes—
526#475C2314yes—
527#475C2318yes—
528#475C2318yes—
529#475C2318yes—
530#475C2318yes—
531#475C2314yes—
532#475C2312yes—
533#475C2314yes—
534#475C2314yes—
535#474C2314yes—
536#474C2312yes—
537#474C2314yes—
538#474C2312yes—
539#470C2318yes—
540#470C2318yes—
541#470C2318yes—
542#470C2318yes—
543#469C2318yes—
544#469C2314yes—
545#469C2314yes—
546#468C2318yes—
547#468C2314yes—
548#468C2314yes—
549#467C2318yes—
550#467C2318yes—
551#467C2318yes—
552#465C2318yes—
553#465C2318yes—
554#465C2318yes—
555#465C2318yes—
556#465C2318yes—
557#465C2318yes—
558#465C2318yes—
559#465C2318yes—
560#465C2318yes—
561#464C2318yes—
562#464C2318yes—
563#464C2318yes—
564#464C2318yes—
565#464C2318yes—
566#464C2318yes—
567#463C2318yes—
568#463C2314yes—
569#463C2314yes—
570#463C2318yes—
571#462C2314yes—
572#462C2314yes—
573#462C2314yes—
574#462C2314yes—
575#462C2314yes—
576#462C2314yes—
577#462C2318yes—
578#461C2314yes—
579#461C2314yes—
580#461C2318yes—
581#461C2314yes—
582#461C2314yes—
583#461C2318yes—
584#460C2312yes—
585#460C2312yes—
586#460C2314yes—
587#460C2314yes—
588#460C2318yes—
589#459C2312yes—
590#459C2312yes—
591#452C2318yes—
592#452C2318yes—
593#452C2318yes—
594#452C2318yes—
595#451C2318yes—
596#451C2318yes—
597#451C2318yes—
598#450C2314yes—
599#449C2318yes—
600#449C2318yes—
601#448C2314yes—
602#448C2318yes—
603#447C2314yes—
604#447C2314yes—
605#446C2314yes—
606#446C2318yes—
607C8×Q8C2314yes—
608#442C2318yes—
609#441C2318yes—
610#441C2318yes—
611#441C2318yes—
612#441C2318yes—
613#440C2318yes—
614C4×Q16C2318yes—
615C4×SD16C2314yes—
616C4×SD16C2318yes—
617C4×SD16C2314yes—
618C4×SD16C2318yes—
619C4×SD16C2318yes—
620C4×D8C2314yes—
621C4×D8C2314yes—
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—
637C2×#107C2312yes—
638C2×#106C2312yes—
639C2×#106C2314yes—
640C2×#106C2318yes—
641#424C2318yes—
642#424C2314yes—
643#423C2314yes—
644#423C2311yescharacteristic
645#423C2311yescharacteristic
646C2×C4⋊C8C2311yescharacteristic
647C2×C4⋊C8C2312yes—
648C2×C4⋊C8C2314yes—
649C2×C4⋊C8C2312yes—
650C2×C4⋊C8C2312yes—
651C2×C4⋊C8C2312yes—
652C2×C4⋊C8C2311yescharacteristic
653C2×C4⋊C8C2312yes—
654#417C2318yes—
655#417C2318yes—
656#416C2318yes—
657C2×#103C2314yes—
658C2×#103C2312yes—
659C2×#103C2318yes—
660C2×#103C2312yes—
661C2×#103C2312yes—
662C2×#102C2314yes—
663C2×#102C2312yes—
664#408C2314yes—
665#407C2312yes—
666#405C2314yes—
667C4×M16C2312yes—
6682−1+4—88no—
669C2×#41—24no—
670C2×#41—24no—
671C2×#41—28no—
672C2×#41—22no—
673C2×#41—22no—
674C2×#41—22no—
675C2×#41—22no—
676C2×#41—24no—
677C2×#41—84no—
678C2×#41C2×D412yes—
679C2×#41C2×D412yes—
680C2×#41C2414yes—
681C2×#41C2418yes—
682C2×#41C2412yes—
683C22×Q8—24no—
684C22×Q8—21no—
685C22×Q8—21no—
686C22×Q8—21no—
687C22×Q8—24no—
688C22×Q8C2411yescharacteristic
689C22×Q8C2412yes—
690C22×Q8C2412yes—
691C22×Q8C2414yes—
692C22×D4—21no—
693C22×D4—22no—
694C22×D4—21no—
695C22×D4—21no—
696C22×D4C2411yescharacteristic
697C22×D4C2412yes—
698C23×C4—21no—
699C23×C4—22no—
700C23×C4C2×D411yescharacteristic
701C23×C4C2×D411yescharacteristic
702C23×C4C2411yescharacteristic
703#137—88no—
704#135—88no—
705C2×Q16—82no—
706C2×Q16C2418yes—
707C2×Q16C2418yes—
708C2×Q16C2418yes—
709C2×SD16—82no—
710C2×SD16—84no—
711C2×SD16C2418yes—
712C2×SD16C2418yes—
713C2×SD16C2418yes—
714C2×SD16C2414yes—
715C2×SD16C2414yes—
716C2×D8C2414yes—
717C2×D8C2414yes—
718#131—84no—
719C2×M16C2412yes—
720C2×M16C2418yes—
721C2×M16C2412yes—
722C22×C8—82no—
723C22×C8C2414yes—
724C22×C8C2414yes—
725C22×C8C2412yes—
726C22×C8C2412yes—
727C22×C8C2418yes—
728C4⋊Q8—24no—
729C4⋊Q8—24no—
730C4⋊Q8—24no—
731C4⋊Q8—24no—
732C4⋊Q8—24no—
733C4⋊Q8—24no—
734C4⋊Q8—22no—
735C4⋊Q8—22no—
736C4⋊Q8—24no—
737C4⋊Q8—28no—
738C4⋊Q8—21no—
739C4⋊Q8—21no—
740C4⋊Q8—21no—
741C4⋊Q8—21no—
742C4⋊Q8—21no—
743C4⋊Q8—21no—
744C4⋊Q8—21no—
745C4⋊Q8—21no—
746C4⋊Q8—21no—
747C4⋊Q8—21no—
748C4⋊Q8—24no—
749C4⋊Q8—24no—
750C4⋊Q8C2×D411yescharacteristic
751C4⋊Q8C2×D411yescharacteristic
752C4⋊Q8C2×D411yescharacteristic
753C4⋊Q8C2412yes—
754C4⋊Q8C2412yes—
755C4⋊Q8C2412yes—
756C4⋊Q8C2412yes—
757C4⋊Q8C2414yes—
758C4⋊Q8C2412yes—
759C4⋊Q8C2412yes—
760C4⋊Q8C2412yes—
761C4⋊Q8C2412yes—
762C4⋊Q8C2412yes—
763C4⋊Q8C2412yes—
764C4⋊Q8C2418yes—
765C4⋊Q8C2414yes—
766#127—24no—
767#127—21no—
768#127—21no—
769#127C2×D411yescharacteristic
770#127C2412yes—
771#127C2412yes—
772#126—24no—
773#126—24no—
774#126—24no—
775#126—24no—
776#126—24no—
777#126—28no—
778#126—28no—
779#126—28no—
780#126—24no—
781#126—24no—
782#126—24no—
783#126—24no—
784#126—24no—
785#126—24no—
786#126—24no—
787#126—22no—
788#126—22no—
789#126—22no—
790#126—22no—
791#126—24no—
792#126C2×D414yes—
793#126C2×D414yes—
794#125—24no—
795#125—24no—
796#125—24no—
797#125—24no—
798#125—24no—
799#125—24no—
800#125—24no—
801#125—24no—
802#125—24no—
803#125—24no—
804#125—24no—
805#125—24no—
806#125—24no—
807#125—22no—
808#125—22no—
809#125—28no—
810#125—22no—
811#125—22no—
812#125—22no—
813#125—22no—
814#125—22no—
815#125—22no—
816#125—22no—
817#125—22no—
818#125—21no—
819#125—21no—
820#125—24no—
821#125—24no—
822#125C2×D412yes—
823#125C2×D412yes—
824#125C2×D412yes—
825#125C2412yes—
826#125C2412yes—
827#125C2414yes—
828#124—24no—
829#124—24no—
830#124—24no—
831#124—24no—
832#124—24no—
833#124—24no—
834#124—24no—
835#124—28no—
836#124—28no—
837#124—28no—
838#124—22no—
839#124—22no—
840#124—22no—
841#124—22no—
842#124—21no—
843#124—21no—
844#124—24no—
845#124C2×D412yes—
846#124C2×D412yes—
847#124C2×D412yes—
848#124C2412yes—
849#124C2412yes—
850#124C2414yes—
851#124C2418yes—
852#123—24no—
853#123—24no—
854#123—24no—
855#123—24no—
856#123—24no—
857#123—22no—
858#123—22no—
859#123—22no—
860#123—22no—
861#123—24no—
862#123—24no—
863#123—28no—
864#123—28no—
865#123—28no—
866#123—28no—
867#123—24no—
868#123—24no—
869#123—24no—
870#123—24no—
871#123—24no—
872#123—24no—
873#123—24no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123C2×D414yes—
879#123C2×D414yes—
880#123C2×D414yes—
881C22⋊Q8—24no—
882C22⋊Q8—22no—
883C22⋊Q8—22no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—22no—
888C22⋊Q8—22no—
889C22⋊Q8—22no—
890C22⋊Q8—22no—
891C22⋊Q8—22no—
892C22⋊Q8—22no—
893C22⋊Q8—22no—
894C22⋊Q8—22no—
895C22⋊Q8—21no—
896C22⋊Q8—21no—
897C22⋊Q8—22no—
898C22⋊Q8—22no—
899C22⋊Q8—22no—
900C22⋊Q8—22no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—28no—
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—24no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—28no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—24no—
920C22⋊Q8—24no—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—24no—
924C22⋊Q8—24no—
925C22⋊Q8—24no—
926C22⋊Q8—24no—
927C22⋊Q8—24no—
928C22⋊Q8—24no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8C2×D412yes—
932C22⋊Q8C2×D412yes—
933C22⋊Q8C2×D412yes—
934C22⋊Q8C2×D412yes—
935C22⋊Q8C2×D412yes—
936C22⋊Q8C2×D412yes—
937C22⋊Q8C2412yes—
938C22⋊Q8C2412yes—
939C22⋊Q8C2414yes—
940C22⋊Q8C2414yes—
941C22⋊Q8C2414yes—
942C22⋊Q8C2414yes—
943C22⋊Q8C2414yes—
944C22⋊Q8C2414yes—
945C22⋊Q8C2414yes—
946C22⋊Q8C2418yes—
947#121—24no—
948#121—22no—
949#121—22no—
950#121—24no—
951#121—24no—
952#121—24no—
953#121—24no—
954#121—24no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—28no—
959#121—22no—
960#121—22no—
961#121—22no—
962#121—22no—
963#121—21no—
964#121—21no—
965#121—22no—
966#121—22no—
967#121—24no—
968#121—24no—
969#121—24no—
970#121—24no—
971#121—28no—
972#121—28no—
973#121C2×D412yes—
974#121C2×D412yes—
975#121C2×D412yes—
976#121C2×D412yes—
977#121C2×D412yes—
978#121C2×D412yes—
979#121C2412yes—
980#121C2412yes—
981#121C2414yes—
982#121C2414yes—
983#121C2414yes—
984#121C2418yes—
985#120—28no—
986#120—24no—
987#120C2×D414yes—
988C4×Q8—22no—
989C4×Q8—22no—
990C4×Q8—24no—
991C4×Q8—24no—
992C4×Q8—22no—
993C4×Q8—22no—
994C4×Q8—22no—
995C4×Q8—22no—
996C4×Q8—22no—
997C4×Q8—22no—
998C4×Q8—22no—
999C4×Q8—22no—
1000C4×Q8—24no—
1001C4×Q8—22no—
1002C4×Q8—21no—
1003C4×Q8—21no—
1004C4×Q8—22no—
1005C4×Q8—22no—
1006C4×Q8—22no—
1007C4×Q8—24no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8C2×D412yes—
1011C4×Q8C2×D412yes—
1012C4×Q8C2×D412yes—
1013C4×Q8C2×D412yes—
1014C4×Q8C2412yes—
1015C4×Q8C2414yes—
1016C4×Q8C2414yes—
1017C4×Q8C2412yes—
1018C4×Q8C2414yes—
1019C4×Q8C2414yes—
1020C4×Q8C2414yes—
1021C4×Q8C2414yes—
1022C4×Q8C2414yes—
1023C4×Q8C2418yes—
1024C4×Q8C2412yes—
1025C4×Q8C2412yes—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—22no—
1030C4×D4—22no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—22no—
1034C4×D4—22no—
1035C4×D4—22no—
1036C4×D4—22no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—22no—
1048C4×D4—22no—
1049C4×D4—22no—
1050C4×D4—22no—
1051C4×D4—21no—
1052C4×D4—21no—
1053C4×D4—22no—
1054C4×D4—22no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4C2×D414yes—
1059C4×D4C2×D414yes—
1060C4×D4C2×D414yes—
1061C4×D4C2×D414yes—
1062C4×D4C2×D412yes—
1063C4×D4C2×D412yes—
1064C4×D4C2×D412yes—
1065C4×D4C2×D412yes—
1066C4×D4C2412yes—
1067C4×D4C2414yes—
1068C4×D4C2412yes—
1069C4×D4C2414yes—
1070C4×D4C2414yes—
1071C4×D4C2418yes—
1072C4×D4C2414yes—
1073C4×D4C2414yes—
1074C4×D4C2412yes—
1075C4×D4C2412yes—
1076#117—22no—
1077#117—22no—
1078#117—22no—
1079#117—22no—
1080#117—22no—
1081#117—22no—
1082#117—22no—
1083#117—22no—
1084#117—24no—
1085#117—24no—
1086#117—22no—
1087#117—22no—
1088#117—24no—
1089#117—24no—
1090#117—28no—
1091#117—24no—
1092#117—24no—
1093#117—24no—
1094#117—24no—
1095#117—22no—
1096#117—22no—
1097#117—22no—
1098#117—22no—
1099#117—24no—
1100#117C2×D412yes—
1101#117C2×D412yes—
1102#117C2×D414yes—
1103#117C2×D414yes—
1104#117C2414yes—
1105#117C2414yes—
1106#117C2412yes—
1107C2×C4⋊C4—21no—
1108C2×C4⋊C4—21no—
1109C2×C4⋊C4—21no—
1110C2×C4⋊C4—21no—
1111C2×C4⋊C4—21no—
1112C2×C4⋊C4—21no—
1113C2×C4⋊C4—21no—
1114C2×C4⋊C4—21no—
1115C2×C4⋊C4—21no—
1116C2×C4⋊C4—21no—
1117C2×C4⋊C4—22no—
1118C2×C4⋊C4—22no—
1119C2×C4⋊C4—22no—
1120C2×C4⋊C4—22no—
1121C2×C4⋊C4—21no—
1122C2×C4⋊C4—24no—
1123C2×C4⋊C4—24no—
1124C2×C4⋊C4—22no—
1125C2×C4⋊C4—22no—
1126C2×C4⋊C4—24no—
1127C2×C4⋊C4—28no—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2418yes—
1135C2×C22⋊C4—22no—
1136C2×C22⋊C4—22no—
1137C2×C22⋊C4—21no—
1138C2×C22⋊C4—21no—
1139C2×C22⋊C4—21no—
1140C2×C22⋊C4—22no—
1141C2×C22⋊C4—21no—
1142C2×C22⋊C4—22no—
1143C2×C22⋊C4—21no—
1144C2×C22⋊C4—24no—
1145C2×C22⋊C4—28no—
1146C2×C42—21no—
1147C2×C42—22no—
1148C2×C42—22no—
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42C2×D411yescharacteristic
1152C2×C42C2×D411yescharacteristic
1153C2×C42C2×D411yescharacteristic
1154C2×C42C2×D411yescharacteristic
1155C2×C42C2×D411yescharacteristic
1156C2×C42C2×D411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164#107C2418yes—
1165#107C2414yes—
1166#107C2414yes—
1167#106C2418yes—
1168#106C2418yes—
1169#106C2414yes—
1170#106C2418yes—
1171#106C2418yes—
1172#106C2414yes—
1173#106C2418yes—
1174C4⋊C8C2412yes—
1175C4⋊C8C2412yes—
1176C4⋊C8C2414yes—
1177C4⋊C8C2412yes—
1178C4⋊C8C2414yes—
1179C4⋊C8C2412yes—
1180C4⋊C8C2412yes—
1181C4⋊C8C2418yes—
1182C4⋊C8C2412yes—
1183C4⋊C8C2418yes—
1184C4⋊C8C2412yes—
1185C4⋊C8C2412yes—
1186#103C2418yes—
1187#103C2414yes—
1188#103C2418yes—
1189#103C2418yes—
1190#103C2418yes—
1191#103C2418yes—
1192#103C2418yes—
1193#103C2418yes—
1194#103C2418yes—
1195#103C2414yes—
1196#103C2418yes—
1197#102C2418yes—
1198#102C2418yes—
1199#102C2418yes—
1200#102C2414yes—
1201#102C2414yes—
1202#102C2414yes—
1203#102C2414yes—
1204#102C2414yes—
1205#102C2414yes—
1206C22⋊C8C2414yes—
1207C22⋊C8C2414yes—
1208C22⋊C8C2418yes—
1209C22⋊C8C2418yes—
1210#97C2414yes—
1211#97C2418yes—
1212C4×C8C2414yes—
1213C4×C8C2418yes—
1214C24—21no—
1215C24—22no—
1216C24C22×D411yescharacteristic
1217#41—28no—
1218#41—42no—
1219#41—42no—
1220#41—44no—
1221#41—44no—
1222#41—48no—
1223#41—44no—
1224#41—48no—
1225#41—48no—
1226#41—84no—
1227#41—84no—
1228#41—84no—
1229#41—88no—
1230#41—88no—
1231#41—816no—
1232#41—88no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—21no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—28no—
1244C2×Q8—22no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—41no—
1248C2×Q8—44no—
1249C2×Q8—42no—
1250C2×Q8—41no—
1251C2×Q8—42no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C2×Q8—82no—
1255C2×Q8—82no—
1256C2×Q8—88no—
1257C2×Q8—88no—
1258C2×Q8C22×D412yes—
1259C2×Q8C22×D412yes—
1260C2×Q8C22×D412yes—
1261C2×Q8C2512yes—
1262C2×Q8C2514yes—
1263C2×Q8C2514yes—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—21no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—42no—
1279C2×D4—41no—
1280C2×D4—42no—
1281C2×D4—41no—
1282C2×D4—44no—
1283C2×D4—82no—
1284C2×D4—82no—
1285C2×D4—84no—
1286C2×D4C22×D414yes—
1287C2×D4C22×D414yes—
1288C2×D4C22×D412yes—
1289C2×D4C22×D412yes—
1290C2×D4C22×D414yes—
1291C2×D4C22×D412yes—
1292C2×D4C2512yes—
1293C2×D4C2514yes—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—21no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—28no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—28no—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—84no—
1319C22×C4C22×D411yescharacteristic
1320C22×C4C22×D414yes—
1321C22×C4C22×D411yescharacteristic
1322C22×C4C22×D411yescharacteristic
1323C22×C4C22×D411yescharacteristic
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D411yescharacteristic
1328C22×C4C22×D411yescharacteristic
1329C22×C4C22×D411yescharacteristic
1330C22×C4C22×D411yescharacteristic
1331C22×C4C22×D411yescharacteristic
1332C22×C4C22×D411yescharacteristic
1333C22×C4C22×D411yescharacteristic
1334C22×C4C22×D414yes—
1335C22×C4C22×D411yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2514yes—
1339C22×C4C2511yescharacteristic
1340Q16—48no—
1341Q16—48no—
1342Q16—48no—
1343SD16—48no—
1344SD16—48no—
1345SD16—48no—
1346SD16—44no—
1347SD16—44no—
1348D8—44no—
1349D8—44no—
1350M16—42no—
1351M16—42no—
1352M16—48no—
1353C2×C8—44no—
1354C2×C8—42no—
1355C2×C8—44no—
1356C2×C8—42no—
1357C2×C8—48no—
1358C2×C8C2514yes—
1359C2×C8C2514yes—
1360C2×C8C2514yes—
1361C2×C8C2514yes—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4C22×D412yes—
1414C4⋊C4C22×D414yes—
1415C4⋊C4C22×D412yes—
1416C4⋊C4C22×D414yes—
1417C4⋊C4C22×D414yes—
1418C4⋊C4C22×D412yes—
1419C4⋊C4C22×D412yes—
1420C4⋊C4C22×D414yes—
1421C4⋊C4C22×D414yes—
1422C4⋊C4C22×D414yes—
1423C4⋊C4C22×D412yes—
1424C4⋊C4C22×D412yes—
1425C4⋊C4C2512yes—
1426C4⋊C4C2514yes—
1427C4⋊C4C2512yes—
1428C4⋊C4C2514yes—
1429C4⋊C4C2514yes—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—22no—
1455C22⋊C4—24no—
1456C22⋊C4—22no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4C22×D414yes—
1462C22⋊C4C22×D414yes—
1463C22⋊C4C22×D414yes—
1464C22⋊C4C22×D414yes—
1465C22⋊C4C22×D414yes—
1466C22⋊C4C22×D414yes—
1467C22⋊C4C22×D414yes—
1468C22⋊C4C22×D414yes—
1469C22⋊C4C22×D414yes—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—28no—
1481C42C22×D414yes—
1482C42C22×D411yescharacteristic
1483C42C22×D411yescharacteristic
1484C42C22×D411yescharacteristic
1485C42C22×D411yescharacteristic
1486C42C22×D411yescharacteristic
1487C42C22×D411yescharacteristic
1488C42C22×D411yescharacteristic
1489C42C22×D411yescharacteristic
1490C42C22×D411yescharacteristic
1491C42C22×D411yescharacteristic
1492C42C22×D411yescharacteristic
1493C42C22×D411yescharacteristic
1494C42C22×D414yes—
1495C42C2511yescharacteristic
1496C42C2514yes—
1497C42C2511yescharacteristic
1498C42C2511yescharacteristic
1499C42C2511yescharacteristic
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—41no—
1505C23—44no—
1506C23—42no—
1507C23—82no—
1508C23—81no—
1509C23—82no—
1510C23—81no—
1511C23C23×D411yescharacteristic
1512C23C23×D414yes—
1513C23C23×D411yescharacteristic
1514C23C23×D411yescharacteristic
1515Q8—24no—
1516Q8—24no—
1517Q8—22no—
1518Q8—24no—
1519Q8—22no—
1520Q8—24no—
1521Q8—24no—
1522Q8—42no—
1523Q8—42no—
1524Q8—44no—
1525Q8—44no—
1526Q8—44no—
1527Q8—82no—
1528Q8—82no—
1529Q8—81no—
1530Q8—84no—
1531Q8—82no—
1532Q8—82no—
1533Q8—88no—
1534Q8—82no—
1535Q8—84no—
1536D4—28no—
1537D4—28no—
1538D4—22no—
1539D4—24no—
1540D4—22no—
1541D4—24no—
1542D4—24no—
1543D4—42no—
1544D4—42no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—44no—
1549D4—48no—
1550D4—44no—
1551D4—82no—
1552D4—81no—
1553D4—82no—
1554D4—82no—
1555D4—84no—
1556D4—88no—
1557D4—84no—
1558D4—84no—
1559D4—88no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—28no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—42no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—48no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—82no—
1604C2×C4—81no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—84no—
1608C2×C4—81no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4#57714yes—
1612C2×C4C23×D411yescharacteristic
1613C2×C4C23×D411yescharacteristic
1614C2×C4C23×D411yescharacteristic
1615C2×C4C23×D414yes—
1616C2×C4C23×D414yes—
1617C2×C4C23×D414yes—
1618C2×C4C23×D411yescharacteristic
1619C2×C4C23×D411yescharacteristic
1620C2×C4C23×D411yescharacteristic
1621C2×C4C23×D411yescharacteristic
1622C2×C4C23×D411yescharacteristic
1623C2×C4C23×D411yescharacteristic
1624C2×C4C23×D411yescharacteristic
1625C2×C4C23×D411yescharacteristic
1626C2×C4C2611yescharacteristic
1627C8—24no—
1628C8—24no—
1629C8—24no—
1630C8—24no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—24no—
1637C22—21no—
1638C22—24no—
1639C22—21no—
1640C22—24no—
1641C22—44no—
1642C22—42no—
1643C22—44no—
1644C22—42no—
1645C22—44no—
1646C22—42no—
1647C22—44no—
1648C22—164no—
1649C22—162no—
1650C22C2×#57712yes—
1651C22#358612yes—
1652C22C24×D411yescharacteristic
1653C4—21no—
1654C4—21no—
1655C4—24no—
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—24no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—24no—
1665C4—42no—
1666C4—44no—
1667C4—44no—
1668C4—44no—
1669C4—42no—
1670C4—44no—
1671C4—44no—
1672C4—42no—
1673C4C2×#57712yes—
1674C4C2×#57712yes—
1675C4H(7,𝔽2)11yescharacteristic
1676C42−1+611yescharacteristic
1677C2—22no—
1678C2—22no—
1679C2—44no—
1680C2—41no—
1681C2—82no—
1682C2—84no—
1683C2#6285311yescharacteristic
1684C2C22×#57711yescharacteristic
1685C2C2×#358611yescharacteristic
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. #62752C2semidirect
3. #62407C2semidirect
4. #62356C2semidirect
5. #62281C2semidirect
6. #62269C2semidirect
7. #62202C2semidirect
8. #62169C2semidirect
9. #62131C2semidirect
10. #62107C2semidirect
11. #62099C2semidirect
12. #62054C2semidirect
13. #62021C2semidirect
14. #61981C2semidirect
15. #61966C2semidirect
16. #61950C2semidirect
17. #60992C2semidirect
18. #60971C2semidirect
19. #60949C2semidirect
20. #60931C2semidirect
21. C2×#3248C2semidirect
22. C2×#3246C2semidirect
23. #60265C2semidirect
27. #3563C22semidirect
29. #3561C22semidirect
32. #3555C22semidirect
35. #3550C22semidirect
36. #3548C22semidirect
38. #3547C22semidirect
46. #3520C22semidirect
48. #3511C22semidirect
49. #3508C22semidirect
52. #3503C22semidirect
59. Q8×#41C22semidirect
61. #3475C22semidirect
63. #3461C22semidirect
71. #3401C22semidirect
72. #3398C22semidirect
73. #3393C22semidirect
74. #3387C22semidirect
75. #3384C22semidirect
76. Q8×SD16C22semidirect
77. #3371C22semidirect
78. #3369C22semidirect
79. #3369C22semidirect
80. #3367C22semidirect
81. #3360C22semidirect
82. #3359C22semidirect
83. #3354C22semidirect
84. #3344C22semidirect
85. #3344C22semidirect
86. #3343C22semidirect
88. #3335C22semidirect
89. #3335C22semidirect
90. #3331C22semidirect
91. #3330C22semidirect
92. #3317C22semidirect
94. #3316C22semidirect
95. #3316C22semidirect
97. #3306C22semidirect
98. #3303C22semidirect
99. #3300C22semidirect
100. #3299C22semidirect
101. #3298C22semidirect
102. #3298C22semidirect
103. #3296C22semidirect
104. #3283C22semidirect
106. #3282C22semidirect
107. #3276C22semidirect
108. #3271C22semidirect
109. #3270C22semidirect
110. #3266C22semidirect
111. #3263C22semidirect
112. #3263C22semidirect
113. #3258C22semidirect
114. #3258C22semidirect
115. #3255C22semidirect
116. #3255C22semidirect
117. #3255C22semidirect
120. #3251C22semidirect
123. #3248C22semidirect
124. #3248C22semidirect
125. #3248C22semidirect
129. #3246C22semidirect
130. #3246C22semidirect
131. #3246C22semidirect
132. #3244C22semidirect
134. #3239C22semidirect
136. #3229C22semidirect
137. #3229C22semidirect
138. #3229C22semidirect
139. #3225C22semidirect
141. #3216C22semidirect
143. #3212C22semidirect
144. #3209C22semidirect
145. #3209C22semidirect
146. #3204C22semidirect
147. #3201C22semidirect
151. #3185C22semidirect
152. #3178C22semidirect
153. #3173C22semidirect
155. #3125C22semidirect
156. #3120C22semidirect
157. #3115C22semidirect
158. #3113C22semidirect
159. #3113C22semidirect
160. #3113C22semidirect
161. #3107C22semidirect
164. #3103C22semidirect
166. #3084C22semidirect
167. #3079C22semidirect
168. C2×#479C22semidirect
169. C2×#475C22semidirect
170. C2×#475C22semidirect
171. C2×#475C22semidirect
172. C2×#476C22semidirect
173. C2×#474C22semidirect
174. #3063C22semidirect
175. #3060C22semidirect
179. #3046C22semidirect
180. #3037C22semidirect
181. #3035C22semidirect
182. C2×#464C22semidirect
183. C2×#462C22semidirect
184. C2×#460C22semidirect
185. C2×#461C22semidirect
186. C2×#461C22semidirect
187. #2994C22semidirect
188. #2992C22semidirect
189. #2990C22semidirect
190. #2989C22semidirect
191. #2988C22semidirect
192. #2962C22semidirect
193. #2935C22semidirect
195. #2925C22semidirect
197. #2906C22semidirect

Maximal subgroups

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

subgroupindex
#628352
#627522
#624072
#623562
#622812
#622692
#622022
#621692
#621312
#621072
#620992
#620542
#620212
#619812
#619662
#619502
#609922
#609712
#609492
#609312
C2×#32482
C2×#32462
#602652