Finite Group Databasebeta

← #10577418

Subgroups — #10577418

Order 512.

7530 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62830C211yesmaximal, characteristic, complemented
2C2×#3497C211yesmaximal, characteristic, complemented
3#61681C218yesmaximal, complemented
4#61672C214yesmaximal, complemented
5#61671C214yesmaximal, complemented
6#61603C214yesmaximal, complemented
7#61594C214yesmaximal, complemented
8#61577C214yesmaximal, complemented
9#61574C214yesmaximal, complemented
10#61221C212yesmaximal, complemented
11#61220C212yesmaximal, complemented
12#61204C214yesmaximal, complemented
13#61096C214yesmaximal, complemented
14#61081C212yesmaximal, complemented
15#61080C212yesmaximal, complemented
16#60805C211yesmaximal, characteristic, complemented
17#60790C211yesmaximal, characteristic, complemented
18#60765C212yesmaximal, complemented
19#60764C212yesmaximal, complemented
20#60560C211yesmaximal, characteristic, complemented
21C2×#3117C211yesmaximal, characteristic, complemented
22#60375C212yesmaximal, complemented
23#60374C212yesmaximal, complemented
24#60237C211yesmaximal, characteristic, complemented
25C22×2−1+4C2212yescomplemented
26C2×#578C2214yescomplemented
27C2×#577C2214yescomplemented
28#3562—22no—
29#3560—22no—
30#3552—21no—
31#3551C2214yescomplemented
32#3547C2212yescomplemented
33#3546C2212yescomplemented
34#3543—21no—
35#3534—22no—
36#3520C2212yes—
37#3519—22no—
38#3519C2212yes—
39#3517—21no—
40#3514—21no—
41#3514—22no—
42#3512C2212yescomplemented
43#3507C2211yescharacteristic, complemented
44#3506C2211yescharacteristic, complemented
45#3505C2214yes—
46#3500C2212yescomplemented
47#3497—22no—
48#3497—22no—
49#3497—21no—
50#3497—21no—
51#3497—22no—
52#3497C2212yes—
53#3497C2214yescomplemented
54#3497C2212yescomplemented
55#3497C2214yescomplemented
56#3497C2214yescomplemented
57#3497C2211yescharacteristic, complemented
58#3496C2211yescharacteristic, complemented
59#3494—22no—
60#3489C2212yes—
61#3488C2212yes—
62C2×#550—21no—
63C2×#550C2212yescomplemented
64C2×D4×Q8—21no—
65C2×D4×Q8C2212yescomplemented
66C2×#548—22no—
67C2×#548C2214yescomplemented
68C2×#537—22no—
69C2×#537C2212yescomplemented
70#3444C2211yescharacteristic
71C2×#532—22no—
72C2×#532C2211yescharacteristic
73C2×#532C2211yescharacteristic, complemented
74C2×#529C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic, complemented
76#3327C2218yescomplemented
77#3326C2218yescomplemented
78#3321C2218yescomplemented
79#3320C2218yescomplemented
80#3320C2218yescomplemented
81#3317C2218yescomplemented
82#3317C2218yescomplemented
83#3316C2218yescomplemented
84#3313C2218yescomplemented
85#3312C2218yescomplemented
86#3312C2218yescomplemented
87#3309C2218yescomplemented
88#3309C2218yescomplemented
89#3308C2218yescomplemented
90#3301C2218yescomplemented
91#3300C2218yescomplemented
92#3285C2218yescomplemented
93#3282C2218yescomplemented
94#3277C2218yescomplemented
95#3275C2218yescomplemented
96#3271C2218yescomplemented
97#3271C2218yescomplemented
98#3271C2218yescomplemented
99#3270C2218yescomplemented
100#3270C2218yescomplemented
101#3270C2218yescomplemented
102#3269C2218yescomplemented
103#3268C2218yescomplemented
104#3268C2218yescomplemented
105#3266C2218yescomplemented
106#3266C2218yescomplemented
107#3265C2218yescomplemented
108#3219C2214yescomplemented
109#3219C2214yescomplemented
110#3218C2212yescomplemented
111#3218C2212yescomplemented
112#3217C2212yescomplemented
113#3217C2212yescomplemented
114#3216C2212yescomplemented
115#3215C2212yescomplemented
116#3214C2212yescomplemented
117#3213C2212yescomplemented
118#3212C2214yescomplemented
119#3211C2214yescomplemented
120#3204C2218yescomplemented
121#3203C2218yescomplemented
122#3201C2218yescomplemented
123#3198C2218yescomplemented
124#3196C2214yescomplemented
125#3196C2214yescomplemented
126#3193C2214yescomplemented
127#3192C2214yescomplemented
128#3189C2214yescomplemented
129#3188C2214yescomplemented
130#3188C2214yescomplemented
131#3187C2214yescomplemented
132#3153C2212yescomplemented
133#3150C2212yescomplemented
134#3142C2212yescomplemented
135#3135C2212yescomplemented
136#3117C2214yescomplemented
137#3117C2214yescomplemented
138#3117C2214yescomplemented
139#3117C2214yescomplemented
140#3117C2214yescomplemented
141#3113C2212yescomplemented
142#3112C2212yescomplemented
143#3108C2214yescomplemented
144#3104C2212yescomplemented
145#3103C2212yescomplemented
146#3099C2214yescomplemented
147#3098C2214yescomplemented
148#3092C2212yescomplemented
149C2×#484C2211yescharacteristic, complemented
150C2×#481C2211yescharacteristic
151#3078C2212yescomplemented
152C2×#479C2212yescomplemented
153#3063C2214yescomplemented
154#3062C2214yescomplemented
155#3061C2214yescomplemented
156#3060C2214yescomplemented
157#3037C2212yescomplemented
158#3037C2212yescomplemented
159#3036C2212yescomplemented
160#3035C2214yescomplemented
161C2×#464C2212yescomplemented
162#3013C2214yescomplemented
163#3013C2214yescomplemented
164#3013C2214yescomplemented
165#3013C2218yescomplemented
166#3013C2218yescomplemented
167#3012C2214yescomplemented
168#3011C2214yescomplemented
169#3011C2218yescomplemented
170#3010C2214yescomplemented
171#3010C2218yescomplemented
172#3007C2212yescomplemented
173#3007C2214yescomplemented
174#3006C2212yes—
175#3006C2214yescomplemented
176#3004C2214yescomplemented
177#3004C2214yescomplemented
178#3004C2212yescomplemented
179#3002C2212yescomplemented
180#3002C2212yescomplemented
181#3002C2214yescomplemented
182#3002C2214yescomplemented
183C2×#451C2211yescharacteristic, complemented
184C2×#451C2214yescomplemented
185C2×#448C2211yescharacteristic
186C2×#448C2214yescomplemented
187#2981C2214yescomplemented
188#2980C2214yescomplemented
189#2974C2214yescomplemented
190#2973C2214yescomplemented
191C4×#137C2214yescomplemented
192C2×#441C2212yescomplemented
193C2×#440C2212yescomplemented
194#2935C2214yescomplemented
195#2932C2212yescomplemented
196#2932C2212yescomplemented
197#2920C2211yescharacteristic, complemented
198C2×#432C2211yescharacteristic, complemented
199#2898C2214yescomplemented
200#2898C2214yescomplemented
201#2880C2212yescomplemented
202#2880C2212yescomplemented
203C2×2−1+4—24no—
204C2×2−1+4—22no—
205C2×2−1+4—22no—
206C2×2−1+4—416no—
207C2×2−1+4C2314yes—
208C2×2−1+4C2314yes—
209C2×2−1+4C2318yes—
210C2×2−1+4C2312yes—
211C2×H(5,𝔽2)C2312yes—
212C22×#41—24no—
213C22×#41—22no—
214C22×#41C2312yes—
215C22×#41C2314yes—
216C22×#41C2312yes—
217C23×Q8—22no—
218C23×Q8C2311yescharacteristic
219C23×Q8C2314yes—
220#578—416no—
221#577—416no—
222C2×#137C2314yes—
223C2×#137C2314yes—
224C2×#137C2318yes—
225C2×#137C2318yes—
226C2×#137C2318yes—
227C2×AGL(1,ℤ/8)C2314yes—
228C2×AGL(1,ℤ/8)C2318yes—
229C2×#135C2314yes—
230C2×#135C2314yes—
231C2×#135C2318yes—
232C2×#135C2318yes—
233C22×Q16C2312yes—
234C22×Q16C2318yes—
235C22×SD16C2312yes—
236C22×SD16C2318yes—
237C2×#131C2314yes—
238C2×#131C2314yes—
239#563—24no—
240#562—24no—
241#560—24no—
242#560—24no—
243#559—21no—
244#559—22no—
245#557—21no—
246#556—21no—
247#556—22no—
248#556C2312yes—
249#555—24no—
250#555—22no—
251#555C2312yes—
252#554—22no—
253#554C2312yes—
254#553—24no—
255#553—24no—
256#553—22no—
257#553—24no—
258#553—24no—
259#553—22no—
260#553C2314yes—
261#553C2314yes—
262#553C2314yes—
263#552C2314yes—
264#552C2314yes—
265#552C2314yes—
266#551—24no—
267#551—24no—
268#551—24no—
269#551—24no—
270#550—22no—
271#550—22no—
272#550—24no—
273#550—24no—
274#550—22no—
275#550—24no—
276#550—21no—
277#550—21no—
278#550—22no—
279#550—22no—
280#550—24no—
281#550—22no—
282#550C2314yes—
283#550C2318yes—
284#550C2314yes—
285#550C2312yes—
286D4×Q8—22no—
287D4×Q8—22no—
288D4×Q8—24no—
289D4×Q8—24no—
290D4×Q8—22no—
291D4×Q8—24no—
292D4×Q8—21no—
293D4×Q8—22no—
294D4×Q8—24no—
295D4×Q8—22no—
296D4×Q8C2314yes—
297D4×Q8C2318yes—
298D4×Q8C2314yes—
299D4×Q8C2312yes—
300#548—22no—
301#548—22no—
302#548—24no—
303#548—24no—
304#548—24no—
305#548—28no—
306#548—24no—
307#548—28no—
308#548—22no—
309#548—24no—
310#548—24no—
311#548—24no—
312#548—24no—
313#548C2318yes—
314#548C2318yes—
315#548C2318yes—
316#548C2318yes—
317#548C2314yes—
318#548C2314yes—
319#548C2314yes—
320#547—24no—
321#547—22no—
322#547—21no—
323#547C2312yes—
324#547C2312yes—
325#546—24no—
326#546—22no—
327#546—22no—
328#546—24no—
329#546—22no—
330#546—22no—
331#546—24no—
332#546—24no—
333#546—22no—
334#546—24no—
335#546C2314yes—
336#546C2314yes—
337#546C2314yes—
338D42—22no—
339D42—24no—
340D42—22no—
341D42—21no—
342D42C2312yes—
343#544—22no—
344#542—22no—
345#542—24no—
346#542—22no—
347#541—22no—
348#540—22no—
349#540—22no—
350#540—24no—
351#540—24no—
352#540—22no—
353#539—22no—
354#539—24no—
355#539—24no—
356#538—24no—
357#538—22no—
358#538—24no—
359#538—24no—
360#538—24no—
361#538—24no—
362#537—24no—
363#537—22no—
364#537—22no—
365#537—24no—
366#537—24no—
367#537—28no—
368#537—28no—
369#537—24no—
370#537—24no—
371#537—22no—
372#537C2314yes—
373#537C2314yes—
374#537C2318yes—
375#537C2314yes—
376#537C2314yes—
377#537C2312yes—
378#537C2312yes—
379#536—22no—
380#536C2314yes—
381#536C2312yes—
382#535—22no—
383#535—22no—
384#535C2314yes—
385#535C2312yes—
386#534—24no—
387#534—22no—
388#533C2311yescharacteristic
389#533C2311yescharacteristic
390#533C2311yescharacteristic
391#532—22no—
392#532—24no—
393#532—24no—
394#532—24no—
395#532—24no—
396#532—28no—
397#532—28no—
398#532—22no—
399#532—21no—
400#532—21no—
401#532—21no—
402#532—21no—
403#532D412yes—
404#532D411yescharacteristic
405#532D411yescharacteristic
406#532D412yes—
407#532D412yes—
408#532C2312yes—
409#532C2312yes—
410#532C2311yescharacteristic
411#532C2312yes—
412#532C2312yes—
413#532C2311yescharacteristic
414#532C2311yescharacteristic
415#532C2311yescharacteristic
416#532C2311yescharacteristic
417#532C2312yes—
418#532C2312yes—
419#532C2312yes—
420C2×C4⋊Q8—22no—
421C2×C4⋊Q8D411yescharacteristic
422C2×C4⋊Q8C2311yescharacteristic
423C2×#127—22no—
424C2×#127D411yescharacteristic
425C2×#127C2311yescharacteristic
426#529—22no—
427#529—22no—
428#529—22no—
429#529—21no—
430#529—21no—
431#529—21no—
432#529—21no—
433#529—21no—
434#529—21no—
435#529—21no—
436#529—21no—
437#529C2312yes—
438#529C2312yes—
439#529C2312yes—
440#529C2312yes—
441#529C2312yes—
442#529C2312yes—
443C2×#126—21no—
444C2×#125C2311yescharacteristic
445C2×#124—22no—
446C2×#124—24no—
447C2×#124D412yes—
448C2×#124C2311yescharacteristic
449C2×#124C2312yes—
450#525—21no—
451#525—21no—
452#525—22no—
453#525C2312yes—
454#525C2314yes—
455#525C2314yes—
456C2×#123—21no—
457C2×C22⋊Q8—22no—
458C2×C22⋊Q8—24no—
459C2×C22⋊Q8—24no—
460C2×C22⋊Q8C2311yescharacteristic
461C2×C22⋊Q8C2314yes—
462C2×C22⋊Q8C2314yes—
463C2×#121—24no—
464C2×#121—24no—
465C2×#121—22no—
466C2×#121—21no—
467C2×#121—21no—
468C2×#121—22no—
469C2×#121—24no—
470C2×#121D412yes—
471C2×#121D412yes—
472C2×#121C2311yescharacteristic
473C2×#121C2314yes—
474C2×#121C2314yes—
475#520—22no—
476#520C2312yes—
477#520C2312yes—
478#518—22no—
479#518—24no—
480C4×#41—21no—
481C4×#41—21no—
482C4×#41C2312yes—
483C2×C4×Q8—21no—
484C2×C4×Q8—21no—
485C2×C4×Q8—21no—
486C2×C4×Q8—21no—
487C2×C4×Q8—21no—
488C2×C4×Q8—21no—
489C2×C4×Q8C2312yes—
490C2×C4×Q8C2312yes—
491C2×C4×Q8C2312yes—
492C2×C4×Q8C2312yes—
493C2×C4×Q8C2312yes—
494C2×C4×Q8C2312yes—
495C2×C4×Q8C2311yescharacteristic
496C2×C4×D4—22no—
497C2×C4×D4—21no—
498C2×C4×D4—22no—
499C2×C4×D4—24no—
500C2×C4×D4—21no—
501C2×C4×D4—21no—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×#117—21no—
506C22×C4⋊C4—21no—
507C22×C4⋊C4C2311yescharacteristic
508C22×C42—21no—
509C22×C42C2311yescharacteristic
510#497C2314yes—
511#497C2314yes—
512#497C2314yes—
513#496C2314yes—
514#496C2314yes—
515#496C2314yes—
516#495C2318yes—
517#491C2314yes—
518#491C2314yes—
519#490C2314yes—
520#490C2314yes—
521#489C2314yes—
522#489C2314yes—
523#488C2318yes—
524#485C2318yes—
525#485C2318yes—
526#484C2314yes—
527#484C2314yes—
528#484C2314yes—
529#484C2318yes—
530#483C2314yes—
531#483C2318yes—
532#482C2318yes—
533#482C2318yes—
534#481C2314yes—
535#481C2314yes—
536#481C2314yes—
537#481C2318yes—
538#480C2314yes—
539#480C2318yes—
540#479C2318yes—
541#479C2318yes—
542#479C2318yes—
543#477C2314yes—
544#475C2314yes—
545#470C2318yes—
546#470C2318yes—
547#469C2318yes—
548#469C2318yes—
549#468C2318yes—
550#468C2318yes—
551#468C2318yes—
552#468C2318yes—
553#467C2318yes—
554#467C2318yes—
555#466C2318yes—
556#466C2318yes—
557#465C2318yes—
558#465C2318yes—
559#465C2318yes—
560#465C2318yes—
561#464C2318yes—
562#464C2318yes—
563#464C2318yes—
564#464C2318yes—
565#464C2314yes—
566#464C2314yes—
567#463C2318yes—
568#463C2314yes—
569#463C2314yes—
570#462C2314yes—
571#462C2314yes—
572#462C2314yes—
573#461C2314yes—
574#461C2314yes—
575#460C2314yes—
576#460C2314yes—
577#460C2314yes—
578#459C2314yes—
579#459C2314yes—
580#452C2318yes—
581#452C2318yes—
582#452C2314yes—
583#452C2318yes—
584#452C2314yes—
585#452C2318yes—
586#452C2318yes—
587#452C2318yes—
588#452C2318yes—
589#451C2314yes—
590#451C2314yes—
591#451C2314yes—
592#451C2314yes—
593#451C2312yes—
594#451C2314yes—
595#451C2318yes—
596#451C2312yes—
597#451C2318yes—
598#451C2318yes—
599#451C2318yes—
600#451C2318yes—
601#450C2318yes—
602#450C2312yes—
603#450C2314yes—
604#450C2312yes—
605#449C2318yes—
606#449C2318yes—
607#449C2314yes—
608#449C2318yes—
609#449C2314yes—
610#449C2318yes—
611#449C2318yes—
612#449C2318yes—
613#449C2318yes—
614#448C2314yes—
615#448C2314yes—
616#448C2314yes—
617#448C2314yes—
618#448C2312yes—
619#448C2314yes—
620#448C2318yes—
621#448C2312yes—
622#448C2318yes—
623#448C2318yes—
624#448C2318yes—
625#448C2318yes—
626#447C2312yes—
627#447C2314yes—
628#447C2312yes—
629#447C2318yes—
630#441C2318yes—
631#441C2318yes—
632#441C2318yes—
633#440C2318yes—
634#440C2318yes—
635#440C2318yes—
636C4×Q16C2318yes—
637C4×SD16C2318yes—
638#436C2318yes—
639#435C2318yes—
640#435C2318yes—
641#435C2318yes—
642#435C2318yes—
643#435C2318yes—
644#435C2318yes—
645C8×D4C2318yes—
646#432C2312yes—
647#432C2312yes—
648#432C2312yes—
649#432C2312yes—
650#432C2312yes—
651#432C2312yes—
652#431C2312yes—
653#431C2312yes—
654#428C2314yes—
655C2×#107C2312yes—
656C2×#106C2312yes—
657#423C2312yes—
658C2×C4⋊C8C2312yes—
659#419C2314yes—
660#419C2318yes—
661#419C2318yes—
662#417C2314yes—
663#417C2314yes—
664#417C2314yes—
665#417C2318yes—
666#417C2318yes—
667#416C2314yes—
668#416C2314yes—
669#416C2318yes—
670#416C2318yes—
671C2×#103C2312yes—
672C2×#103C2312yes—
673C2×#103C2312yes—
674C2×#103C2318yes—
675C2×#103C2318yes—
676C2×#102C2312yes—
677#408C2314yes—
678#408C2314yes—
679#408C2318yes—
680#408C2318yes—
681#407C2312yes—
682#407C2314yes—
683#407C2314yes—
684C2×C22⋊C8C2311yescharacteristic
685C2×C22⋊C8C2311yescharacteristic
686C2×C22⋊C8C2314yes—
687C2×C22⋊C8C2314yes—
688C4×M16C2312yes—
689C2×#97C2312yes—
6902−1+4—216no—
6912−1+4—216no—
6922−1+4—416no—
6932−1+4—416no—
6942−1+4—48no—
6952−1+4—48no—
6962−1+4—416no—
6972−1+4—416no—
6982−1+4—432no—
6992−1+4—48no—
700H(5,𝔽2)—48no—
701C2×#41—22no—
702C2×#41—28no—
703C2×#41—28no—
704C2×#41—28no—
705C2×#41—28no—
706C2×#41—24no—
707C2×#41—24no—
708C2×#41—28no—
709C2×#41—22no—
710C2×#41—22no—
711C2×#41—24no—
712C2×#41—22no—
713C2×#41—22no—
714C2×#41—24no—
715C2×#41—24no—
716C2×#41—21no—
717C2×#41—21no—
718C2×#41—48no—
719C2×#41—48no—
720C2×#41—432no—
721C2×#41—416no—
722C2×#41—416no—
723C2×#41C2×D414yes—
724C2×#41C2×D412yes—
725C2×#41C2×D412yes—
726C2×#41C2412yes—
727C2×#41C2414yes—
728C2×#41C2418yes—
729C2×#41C2418yes—
730C2×#41C2414yes—
731C2×#41C2414yes—
732C2×#41C2414yes—
733C2×#41C2412yes—
734C2×#41C2412yes—
735C2×#41C2414yes—
736C22×Q8—28no—
737C22×Q8—24no—
738C22×Q8—24no—
739C22×Q8—28no—
740C22×Q8—22no—
741C22×Q8—21no—
742C22×Q8—21no—
743C22×Q8—21no—
744C22×Q8—24no—
745C22×Q8—24no—
746C22×Q8—24no—
747C22×Q8—416no—
748C22×Q8—416no—
749C22×Q8C2×D412yes—
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×Q8C2411yescharacteristic
753C22×Q8C2418yes—
754C22×Q8C2418yes—
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×Q8C2414yes—
758C22×D4—22no—
759C22×D4—24no—
760C22×D4—24no—
761C22×D4—21no—
762C22×D4—24no—
763C22×D4—22no—
764C22×D4—24no—
765C22×D4—22no—
766C22×D4—21no—
767C22×D4—21no—
768C22×D4C2×D412yes—
769C22×D4C2×D414yes—
770C22×D4C2×D412yes—
771C22×D4C2×D412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2412yes—
774C22×D4C2414yes—
775C23×C4—21no—
776C23×C4—24no—
777C23×C4—21no—
778C23×C4—24no—
779C23×C4—22no—
780C23×C4—21no—
781C23×C4C2×D411yescharacteristic
782C23×C4C2×D411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2414yes—
785#137—216no—
786#137—48no—
787#137—416no—
788#137—416no—
789#137—416no—
790AGL(1,ℤ/8)—48no—
791AGL(1,ℤ/8)—416no—
792#135—48no—
793#135—48no—
794#135—416no—
795#135—416no—
796C2×Q16—28no—
797C2×Q16—416no—
798C2×Q16C2418yes—
799C2×Q16C2418yes—
800C2×Q16C2414yes—
801C2×Q16C2418yes—
802C2×Q16C2414yes—
803C2×SD16—28no—
804C2×SD16—416no—
805C2×SD16C2418yes—
806C2×SD16C2418yes—
807C2×SD16C2414yes—
808C2×SD16C2418yes—
809C2×SD16C2414yes—
810C2×SD16C2414yes—
811C2×SD16C2418yes—
812C2×SD16C2414yes—
813C2×D8C2414yes—
814C2×D8C2418yes—
815C2×D8C2414yes—
816#131—48no—
817#131—48no—
818C2×M16C2414yes—
819C2×M16C2418yes—
820C2×M16C2418yes—
821C22×C8C2412yes—
822C22×C8C2412yes—
823C22×C8C2418yes—
824C22×C8C2418yes—
825C4⋊Q8—22no—
826C4⋊Q8—24no—
827C4⋊Q8—24no—
828C4⋊Q8—28no—
829C4⋊Q8—24no—
830C4⋊Q8—22no—
831C4⋊Q8—21no—
832C4⋊Q8—21no—
833C4⋊Q8C2×D412yes—
834C4⋊Q8C2×D412yes—
835C4⋊Q8C2×D411yescharacteristic
836C4⋊Q8C2×D411yescharacteristic
837C4⋊Q8C2×D412yes—
838C4⋊Q8C2412yes—
839C4⋊Q8C2412yes—
840C4⋊Q8C2411yescharacteristic
841C4⋊Q8C2411yescharacteristic
842C4⋊Q8C2411yescharacteristic
843#127—24no—
844#127—28no—
845#127—24no—
846#127—22no—
847#127—22no—
848#127—24no—
849#127—21no—
850#127—21no—
851#127C2×D412yes—
852#127C2×D412yes—
853#127C2×D411yescharacteristic
854#127C2×D411yescharacteristic
855#127C2×D412yes—
856#127C2412yes—
857#127C2412yes—
858#127C2411yescharacteristic
859#126—24no—
860#126—24no—
861#126—24no—
862#126—24no—
863#126—24no—
864#126—24no—
865#126—24no—
866#126—22no—
867#126—22no—
868#126—22no—
869#126—22no—
870#126—22no—
871#126—22no—
872#125—22no—
873#125—24no—
874#125—24no—
875#125—24no—
876#125—21no—
877#125—21no—
878#125—21no—
879#125—21no—
880#125C2412yes—
881#125C2412yes—
882#125C2412yes—
883#124—22no—
884#124—24no—
885#124—22no—
886#124—22no—
887#124—24no—
888#124—28no—
889#124—28no—
890#124—28no—
891#124—28no—
892#124—24no—
893#124—24no—
894#124—24no—
895#124—24no—
896#124—21no—
897#124—21no—
898#124—22no—
899#124—22no—
900#124—21no—
901#124—21no—
902#124C2×D412yes—
903#124C2×D412yes—
904#124C2×D414yes—
905#124C2×D412yes—
906#124C2×D412yes—
907#124C2×D414yes—
908#124C2412yes—
909#124C2412yes—
910#124C2414yes—
911#124C2414yes—
912#124C2412yes—
913#123—24no—
914#123—24no—
915#123—24no—
916#123—24no—
917#123—24no—
918#123—24no—
919#123—22no—
920#123—22no—
921#123—22no—
922#123—22no—
923#123—22no—
924#123—22no—
925#123—22no—
926#123—24no—
927#123—24no—
928#123—24no—
929#123—24no—
930#123—24no—
931#123—24no—
932#123—24no—
933#123—24no—
934#123—24no—
935#123—24no—
936C22⋊Q8—24no—
937C22⋊Q8—24no—
938C22⋊Q8—28no—
939C22⋊Q8—22no—
940C22⋊Q8—22no—
941C22⋊Q8—24no—
942C22⋊Q8—24no—
943C22⋊Q8—21no—
944C22⋊Q8—21no—
945C22⋊Q8—24no—
946C22⋊Q8—24no—
947C22⋊Q8—24no—
948C22⋊Q8—24no—
949C22⋊Q8—21no—
950C22⋊Q8—21no—
951C22⋊Q8—21no—
952C22⋊Q8—21no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—22no—
958C22⋊Q8—24no—
959C22⋊Q8—24no—
960C22⋊Q8—24no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—24no—
966C22⋊Q8—24no—
967C22⋊Q8C2412yes—
968C22⋊Q8C2412yes—
969C22⋊Q8C2412yes—
970C22⋊Q8C2414yes—
971C22⋊Q8C2414yes—
972C22⋊Q8C2418yes—
973C22⋊Q8C2418yes—
974C22⋊Q8C2412yes—
975C22⋊Q8C2414yes—
976C22⋊Q8C2414yes—
977#121—28no—
978#121—28no—
979#121—28no—
980#121—28no—
981#121—24no—
982#121—28no—
983#121—28no—
984#121—28no—
985#121—28no—
986#121—24no—
987#121—24no—
988#121—28no—
989#121—22no—
990#121—22no—
991#121—22no—
992#121—22no—
993#121—24no—
994#121—24no—
995#121—24no—
996#121—24no—
997#121—24no—
998#121—24no—
999#121—24no—
1000#121—24no—
1001#121—24no—
1002#121—24no—
1003#121—24no—
1004#121—24no—
1005#121—24no—
1006#121—21no—
1007#121—22no—
1008#121—22no—
1009#121—22no—
1010#121—22no—
1011#121—22no—
1012#121—22no—
1013#121—22no—
1014#121—22no—
1015#121—21no—
1016#121—21no—
1017#121—24no—
1018#121—24no—
1019#121—24no—
1020#121—24no—
1021#121—21no—
1022#121—21no—
1023#121—21no—
1024#121—22no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—24no—
1030#121—24no—
1031#121—24no—
1032#121—24no—
1033#121C2×D412yes—
1034#121C2×D412yes—
1035#121C2×D412yes—
1036#121C2×D412yes—
1037#121C2×D412yes—
1038#121C2×D412yes—
1039#121C2×D414yes—
1040#121C2×D414yes—
1041#121C2×D414yes—
1042#121C2×D414yes—
1043#121C2×D412yes—
1044#121C2×D412yes—
1045#121C2412yes—
1046#121C2412yes—
1047#121C2412yes—
1048#121C2414yes—
1049#121C2414yes—
1050#121C2418yes—
1051#121C2418yes—
1052#121C2412yes—
1053#121C2414yes—
1054#121C2414yes—
1055#120—22no—
1056#120—24no—
1057#120—24no—
1058#120—24no—
1059#120—24no—
1060#120—24no—
1061#120—24no—
1062#120—24no—
1063#120—24no—
1064#120—24no—
1065C4×Q8—22no—
1066C4×Q8—22no—
1067C4×Q8—22no—
1068C4×Q8—22no—
1069C4×Q8—22no—
1070C4×Q8—22no—
1071C4×Q8—22no—
1072C4×Q8—22no—
1073C4×Q8—22no—
1074C4×Q8—22no—
1075C4×Q8—22no—
1076C4×Q8—22no—
1077C4×Q8—22no—
1078C4×Q8—22no—
1079C4×Q8—22no—
1080C4×Q8—21no—
1081C4×Q8—21no—
1082C4×Q8—21no—
1083C4×Q8—21no—
1084C4×Q8—21no—
1085C4×Q8—21no—
1086C4×Q8C2414yes—
1087C4×Q8C2414yes—
1088C4×Q8C2414yes—
1089C4×Q8C2414yes—
1090C4×Q8C2412yes—
1091C4×Q8C2412yes—
1092C4×Q8C2412yes—
1093C4×Q8C2412yes—
1094C4×D4—24no—
1095C4×D4—28no—
1096C4×D4—24no—
1097C4×D4—22no—
1098C4×D4—22no—
1099C4×D4—24no—
1100C4×D4—24no—
1101C4×D4—22no—
1102C4×D4—22no—
1103C4×D4—22no—
1104C4×D4—22no—
1105C4×D4—22no—
1106C4×D4—22no—
1107C4×D4—22no—
1108C4×D4—22no—
1109C4×D4—22no—
1110C4×D4—22no—
1111C4×D4—22no—
1112C4×D4—22no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—24no—
1117C4×D4—24no—
1118C4×D4—28no—
1119C4×D4—24no—
1120C4×D4—22no—
1121C4×D4—28no—
1122C4×D4—28no—
1123C4×D4—28no—
1124C4×D4—28no—
1125C4×D4—24no—
1126C4×D4—24no—
1127C4×D4—24no—
1128C4×D4—24no—
1129C4×D4—24no—
1130C4×D4—24no—
1131C4×D4—22no—
1132C4×D4—22no—
1133C4×D4—22no—
1134C4×D4—22no—
1135C4×D4—22no—
1136C4×D4—22no—
1137C4×D4—22no—
1138C4×D4—22no—
1139C4×D4—21no—
1140C4×D4—21no—
1141C4×D4—21no—
1142C4×D4—21no—
1143C4×D4—21no—
1144C4×D4—21no—
1145C4×D4C2×D412yes—
1146C4×D4C2×D412yes—
1147C4×D4C2×D414yes—
1148C4×D4C2×D412yes—
1149C4×D4C2×D414yes—
1150C4×D4C2×D412yes—
1151C4×D4C2412yes—
1152C4×D4C2412yes—
1153C4×D4C2412yes—
1154C4×D4C2412yes—
1155C4×D4C2412yes—
1156C4×D4C2412yes—
1157C4×D4C2414yes—
1158C4×D4C2414yes—
1159C4×D4C2412yes—
1160C4×D4C2412yes—
1161#117—21no—
1162#117—21no—
1163#117—22no—
1164#117—24no—
1165#117—24no—
1166#117—24no—
1167#117—22no—
1168#117—22no—
1169#117—22no—
1170#117—22no—
1171#117—22no—
1172#117—22no—
1173#117—22no—
1174#117C2412yes—
1175#117C2414yes—
1176#117C2414yes—
1177C2×C4⋊C4—22no—
1178C2×C4⋊C4—22no—
1179C2×C4⋊C4—22no—
1180C2×C4⋊C4—22no—
1181C2×C4⋊C4—22no—
1182C2×C4⋊C4—22no—
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—21no—
1185C2×C4⋊C4—21no—
1186C2×C4⋊C4—21no—
1187C2×C4⋊C4—21no—
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—21no—
1190C2×C4⋊C4—24no—
1191C2×C4⋊C4—21no—
1192C2×C4⋊C4—21no—
1193C2×C4⋊C4—24no—
1194C2×C4⋊C4—22no—
1195C2×C4⋊C4C2×D412yes—
1196C2×C4⋊C4C2×D412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2411yescharacteristic
1201C2×C4⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2414yes—
1203C2×C4⋊C4C2414yes—
1204C2×C22⋊C4—24no—
1205C2×C22⋊C4—21no—
1206C2×C22⋊C4—24no—
1207C2×C22⋊C4—21no—
1208C2×C22⋊C4—21no—
1209C2×C22⋊C4—22no—
1210C2×C22⋊C4—22no—
1211C2×C22⋊C4—24no—
1212C2×C22⋊C4—21no—
1213C2×C22⋊C4—21no—
1214C2×C22⋊C4—24no—
1215C2×C22⋊C4—24no—
1216C2×C22⋊C4—24no—
1217C2×C22⋊C4—24no—
1218C2×C22⋊C4C2×D414yes—
1219C2×C22⋊C4C2×D414yes—
1220C2×C42—21no—
1221C2×C42—22no—
1222C2×C42—22no—
1223C2×C42—22no—
1224C2×C42—22no—
1225C2×C42—22no—
1226C2×C42—22no—
1227C2×C42—22no—
1228C2×C42C2×D411yescharacteristic
1229C2×C42C2×D411yescharacteristic
1230C2×C42C2×D411yescharacteristic
1231C2×C42C2×D411yescharacteristic
1232C2×C42C2×D411yescharacteristic
1233C2×C42C2×D411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240#107C2418yes—
1241#107C2418yes—
1242#106C2418yes—
1243#106C2418yes—
1244C4⋊C8C2414yes—
1245C4⋊C8C2414yes—
1246C4⋊C8C2414yes—
1247C4⋊C8C2414yes—
1248#103C2418yes—
1249#103C2418yes—
1250#103C2414yes—
1251#103C2414yes—
1252#103C2418yes—
1253#103C2418yes—
1254#103C2418yes—
1255#103C2418yes—
1256#103C2418yes—
1257#103C2414yes—
1258#103C2414yes—
1259#103C2418yes—
1260#102C2418yes—
1261#102C2414yes—
1262#102C2414yes—
1263#102C2414yes—
1264#102C2418yes—
1265#102C2418yes—
1266#102C2414yes—
1267#102C2418yes—
1268C22⋊C8C2412yes—
1269C22⋊C8C2412yes—
1270C22⋊C8C2414yes—
1271C22⋊C8C2412yes—
1272C22⋊C8C2412yes—
1273C22⋊C8C2418yes—
1274C22⋊C8C2418yes—
1275C22⋊C8C2414yes—
1276C22⋊C8C2418yes—
1277C22⋊C8C2418yes—
1278#97C2414yes—
1279#97C2414yes—
1280#97C2414yes—
1281C4×C8C2414yes—
1282C24—22no—
1283C24—21no—
1284C24—24no—
1285C24C22×D411yescharacteristic
1286C24C22×D414yes—
1287#41—28no—
1288#41—28no—
1289#41—216no—
1290#41—216no—
1291#41—28no—
1292#41—28no—
1293#41—28no—
1294#41—48no—
1295#41—48no—
1296#41—44no—
1297#41—44no—
1298#41—48no—
1299#41—48no—
1300#41—44no—
1301#41—44no—
1302#41—432no—
1303#41—432no—
1304#41—432no—
1305#41—432no—
1306#41—48no—
1307#41—48no—
1308#41—48no—
1309#41—48no—
1310#41—416no—
1311#41—416no—
1312#41—416no—
1313#41—416no—
1314#41—432no—
1315#41—82no—
1316#41—88no—
1317#41—84no—
1318#41—84no—
1319#41—82no—
1320#41—84no—
1321C2×Q8—28no—
1322C2×Q8—28no—
1323C2×Q8—28no—
1324C2×Q8—28no—
1325C2×Q8—28no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—28no—
1332C2×Q8—28no—
1333C2×Q8—22no—
1334C2×Q8—21no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—216no—
1338C2×Q8—216no—
1339C2×Q8—24no—
1340C2×Q8—44no—
1341C2×Q8—44no—
1342C2×Q8—48no—
1343C2×Q8—48no—
1344C2×Q8—416no—
1345C2×Q8—48no—
1346C2×Q8—416no—
1347C2×Q8—416no—
1348C2×Q8—416no—
1349C2×Q8—416no—
1350C2×Q8—432no—
1351C2×Q8—84no—
1352C2×Q8C22×D412yes—
1353C2×Q8C22×D412yes—
1354C2×Q8C22×D414yes—
1355C2×Q8H(5,𝔽2)18yes—
1356C2×Q8C2514yes—
1357C2×Q8C2512yes—
1358C2×Q8C2512yes—
1359C2×Q8C2514yes—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—28no—
1374C2×D4—28no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—22no—
1382C2×D4—21no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—48no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—416no—
1393C2×D4—48no—
1394C2×D4—48no—
1395C2×D4—84no—
1396C2×D4—82no—
1397C2×D4—84no—
1398C2×D4—82no—
1399C2×D4—88no—
1400C2×D4—88no—
1401C2×D4—82no—
1402C2×D4—88no—
1403C2×D4C22×D414yes—
1404C2×D4C22×D414yes—
1405C2×D4C22×D412yes—
1406C2×D4C22×D412yes—
1407C2×D4C22×D412yes—
1408C2×D4C22×D414yes—
1409C2×D4C22×D412yes—
1410C2×D4C22×D412yes—
1411C2×D4C22×D412yes—
1412C2×D4C22×D414yes—
1413C2×D4C22×D414yes—
1414C2×D4C22×D414yes—
1415C2×D4C22×D414yes—
1416C2×D4C2514yes—
1417C2×D4C2512yes—
1418C2×D4C2512yes—
1419C22×C4—28no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—21no—
1426C22×C4—22no—
1427C22×C4—28no—
1428C22×C4—28no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—28no—
1439C22×C4—28no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—48no—
1448C22×C4—42no—
1449C22×C4—416no—
1450C22×C4—416no—
1451C22×C4—48no—
1452C22×C4—81no—
1453C22×C4—82no—
1454C22×C4—82no—
1455C22×C4C22×D411yescharacteristic
1456C22×C4C22×D411yescharacteristic
1457C22×C4C22×D411yescharacteristic
1458C22×C4C22×D411yescharacteristic
1459C22×C4C22×D411yescharacteristic
1460C22×C4C22×D411yescharacteristic
1461C22×C4C22×D411yescharacteristic
1462C22×C4C22×D411yescharacteristic
1463C22×C4C22×D411yescharacteristic
1464C22×C4C22×D411yescharacteristic
1465C22×C4C22×D411yescharacteristic
1466C22×C4C22×D411yescharacteristic
1467C22×C4C22×D411yescharacteristic
1468C22×C4C22×D411yescharacteristic
1469C22×C4C22×D411yescharacteristic
1470C22×C4C22×D414yes—
1471C22×C4C22×D414yes—
1472C22×C4C22×D414yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2514yes—
1476C22×C4C2514yes—
1477C22×C4C2511yescharacteristic
1478Q16—216no—
1479Q16—216no—
1480Q16—44no—
1481Q16—48no—
1482Q16—44no—
1483SD16—216no—
1484SD16—216no—
1485SD16—44no—
1486SD16—48no—
1487SD16—44no—
1488SD16—44no—
1489SD16—44no—
1490SD16—48no—
1491D8—44no—
1492D8—44no—
1493D8—48no—
1494M16—28no—
1495M16—48no—
1496M16—48no—
1497C2×C8—24no—
1498C2×C8—24no—
1499C2×C8—48no—
1500C2×C8—48no—
1501C2×C8C2518yes—
1502C2×C8C2514yes—
1503C2×C8C2514yes—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—21no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—21no—
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4C22×D412yes—
1544C4⋊C4C22×D412yes—
1545C4⋊C4C22×D412yes—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D412yes—
1548C4⋊C4C22×D414yes—
1549C4⋊C4C2512yes—
1550C4⋊C4C2512yes—
1551C4⋊C4C2512yes—
1552C4⋊C4C2512yes—
1553C4⋊C4C2514yes—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—22no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—22no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—22no—
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4C22×D414yes—
1592C22⋊C4C22×D414yes—
1593C22⋊C4C22×D414yes—
1594C22⋊C4C22×D414yes—
1595C22⋊C4C22×D414yes—
1596C22⋊C4C22×D414yes—
1597C22⋊C4C22×D414yes—
1598C22⋊C4C22×D414yes—
1599C42—24no—
1600C42—24no—
1601C42—24no—
1602C42—24no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—24no—
1609C42—24no—
1610C42C22×D411yescharacteristic
1611C42C22×D411yescharacteristic
1612C42C22×D411yescharacteristic
1613C42C22×D411yescharacteristic
1614C42C22×D411yescharacteristic
1615C42C22×D411yescharacteristic
1616C42C22×D411yescharacteristic
1617C42C22×D411yescharacteristic
1618C42C22×D411yescharacteristic
1619C42C22×D411yescharacteristic
1620C42C22×D411yescharacteristic
1621C42C22×D411yescharacteristic
1622C42C2511yescharacteristic
1623C42C2511yescharacteristic
1624C42C2511yescharacteristic
1625C42C2511yescharacteristic
1626C23—22no—
1627C23—22no—
1628C23—28no—
1629C23—22no—
1630C23—22no—
1631C23—24no—
1632C23—41no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—44no—
1637C23—44no—
1638C23—42no—
1639C23—81no—
1640C23—81no—
1641C23—84no—
1642C23—84no—
1643C23—84no—
1644C23C23×D414yes—
1645C23C23×D414yes—
1646C23C23×D411yescharacteristic
1647C23C23×D411yescharacteristic
1648C23C23×D411yescharacteristic
1649Q8—28no—
1650Q8—28no—
1651Q8—24no—
1652Q8—28no—
1653Q8—24no—
1654Q8—24no—
1655Q8—24no—
1656Q8—24no—
1657Q8—24no—
1658Q8—24no—
1659Q8—44no—
1660Q8—416no—
1661Q8—416no—
1662Q8—44no—
1663Q8—42no—
1664Q8—42no—
1665Q8—84no—
1666Q8—81no—
1667Q8C2×H(5,𝔽2)18yes—
1668D4—28no—
1669D4—28no—
1670D4—24no—
1671D4—24no—
1672D4—24no—
1673D4—24no—
1674D4—24no—
1675D4—24no—
1676D4—42no—
1677D4—44no—
1678D4—42no—
1679D4—44no—
1680D4—44no—
1681D4—44no—
1682D4—42no—
1683D4—44no—
1684D4—42no—
1685D4—416no—
1686D4—416no—
1687D4—44no—
1688D4—44no—
1689D4—44no—
1690D4—42no—
1691D4—48no—
1692D4—44no—
1693D4—44no—
1694D4—48no—
1695D4—44no—
1696D4—42no—
1697D4—84no—
1698D4—82no—
1699D4—82no—
1700D4—81no—
1701D4—82no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—88no—
1706D4—88no—
1707D4—84no—
1708D4—84no—
1709D4—82no—
1710D4—84no—
1711C2×C4—28no—
1712C2×C4—28no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—28no—
1717C2×C4—22no—
1718C2×C4—28no—
1719C2×C4—28no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—44no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—416no—
1746C2×C4—416no—
1747C2×C4—416no—
1748C2×C4—416no—
1749C2×C4—48no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—42no—
1754C2×C4—48no—
1755C2×C4—44no—
1756C2×C4—82no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—82no—
1760C2×C4—82no—
1761C2×C4—81no—
1762C2×C4—82no—
1763C2×C4—82no—
1764C2×C4—81no—
1765C2×C4—84no—
1766C2×C4—84no—
1767C2×C4—84no—
1768C2×C4C23×D411yescharacteristic
1769C2×C4C23×D411yescharacteristic
1770C2×C4C23×D411yescharacteristic
1771C2×C4C23×D411yescharacteristic
1772C2×C4C23×D411yescharacteristic
1773C2×C4C23×D411yescharacteristic
1774C2×C4C23×D411yescharacteristic
1775C2×C4C23×D414yes—
1776C2×C4C23×D414yes—
1777C2×C4C23×D411yescharacteristic
1778C2×C4C23×D411yescharacteristic
1779C2×C4C23×D411yescharacteristic
1780C2×C4C23×D411yescharacteristic
1781C2×C4C2×H(5,𝔽2)14yes—
1782C2×C4C2611yescharacteristic
1783C8—24no—
1784C8—24no—
1785C8—28no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—24no—
1792C22—24no—
1793C22—21no—
1794C22—24no—
1795C22—24no—
1796C22—21no—
1797C22—24no—
1798C22—24no—
1799C22—44no—
1800C22—44no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—44no—
1809C22—88no—
1810C22—88no—
1811C22—162no—
1812C22—324no—
1813C22#348412yes—
1814C22#358612yes—
1815C22C24×D411yescharacteristic
1816C4—28no—
1817C4—21no—
1818C4—21no—
1819C4—24no—
1820C4—24no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—44no—
1830C4—42no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—44no—
1836C4—42no—
1837C4#348412yes—
1838C4C22×H(5,𝔽2)12yes—
1839C2—22no—
1840C2—22no—
1841C2—41no—
1842C2—44no—
1843C2—44no—
1844C2—84no—
1845C2—82no—
1846C2—82no—
1847C2C2×#348411yescharacteristic
1848C2C2×#358611yescharacteristic
1849C2#6309011yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#532 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62830C2semidirect
2. C2×#3497C2semidirect
3. #61681C2semidirect
4. #61672C2semidirect
5. #61671C2semidirect
6. #61603C2semidirect
7. #61594C2semidirect
8. #61577C2semidirect
9. #61574C2semidirect
10. #61221C2semidirect
11. #61220C2semidirect
12. #61204C2semidirect
13. #61096C2semidirect
14. #61081C2semidirect
15. #61080C2semidirect
16. #60805C2semidirect
17. #60790C2semidirect
18. #60765C2semidirect
19. #60764C2semidirect
20. #60560C2semidirect
21. C2×#3117C2semidirect
22. #60375C2semidirect
23. #60374C2semidirect
24. #60237C2semidirect
25. C22×2−1+4C22semidirect
26. C2×#578C22semidirect
27. C2×#577C22semidirect
31. #3551C22semidirect
32. #3547C22semidirect
33. #3546C22semidirect
42. #3512C22semidirect
43. #3507C22semidirect
44. #3506C22semidirect
46. #3500C22semidirect
53. #3497C22semidirect
54. #3497C22semidirect
55. #3497C22semidirect
56. #3497C22semidirect
57. #3497C22semidirect
58. #3496C22semidirect
63. C2×#550C22semidirect
65. C2×D4×Q8C22semidirect
67. C2×#548C22semidirect
69. C2×#537C22semidirect
73. C2×#532C22semidirect
75. C22×C4×Q8C22semidirect
76. #3327C22semidirect
77. #3326C22semidirect
78. #3321C22semidirect
79. #3320C22semidirect
80. #3320C22semidirect
81. #3317C22semidirect
82. #3317C22semidirect
83. #3316C22semidirect
84. #3313C22semidirect
85. #3312C22semidirect
86. #3312C22semidirect
87. #3309C22semidirect
88. #3309C22semidirect
89. #3308C22semidirect
90. #3301C22semidirect
91. #3300C22semidirect
92. #3285C22semidirect
93. #3282C22semidirect
94. #3277C22semidirect
95. #3275C22semidirect
96. #3271C22semidirect
97. #3271C22semidirect
98. #3271C22semidirect
99. #3270C22semidirect
100. #3270C22semidirect
101. #3270C22semidirect
102. #3269C22semidirect
103. #3268C22semidirect
104. #3268C22semidirect
105. #3266C22semidirect
106. #3266C22semidirect
107. #3265C22semidirect
108. #3219C22semidirect
109. #3219C22semidirect
110. #3218C22semidirect
111. #3218C22semidirect
112. #3217C22semidirect
113. #3217C22semidirect
114. #3216C22semidirect
115. #3215C22semidirect
116. #3214C22semidirect
117. #3213C22semidirect
118. #3212C22semidirect
119. #3211C22semidirect
120. #3204C22semidirect
121. #3203C22semidirect
122. #3201C22semidirect
123. #3198C22semidirect
124. #3196C22semidirect
125. #3196C22semidirect
126. #3193C22semidirect
127. #3192C22semidirect
128. #3189C22semidirect
129. #3188C22semidirect
130. #3188C22semidirect
131. #3187C22semidirect
132. #3153C22semidirect
133. #3150C22semidirect
134. #3142C22semidirect
135. #3135C22semidirect
136. #3117C22semidirect
137. #3117C22semidirect
138. #3117C22semidirect
139. #3117C22semidirect
140. #3117C22semidirect
141. #3113C22semidirect
142. #3112C22semidirect
143. #3108C22semidirect
144. #3104C22semidirect
145. #3103C22semidirect
146. #3099C22semidirect
147. #3098C22semidirect
148. #3092C22semidirect
149. C2×#484C22semidirect
151. #3078C22semidirect
152. C2×#479C22semidirect
153. #3063C22semidirect
154. #3062C22semidirect
155. #3061C22semidirect
156. #3060C22semidirect
157. #3037C22semidirect
158. #3037C22semidirect
159. #3036C22semidirect
160. #3035C22semidirect
161. C2×#464C22semidirect
162. #3013C22semidirect
163. #3013C22semidirect
164. #3013C22semidirect
165. #3013C22semidirect
166. #3013C22semidirect
167. #3012C22semidirect
168. #3011C22semidirect
169. #3011C22semidirect
170. #3010C22semidirect
171. #3010C22semidirect
172. #3007C22semidirect
173. #3007C22semidirect
175. #3006C22semidirect
176. #3004C22semidirect
177. #3004C22semidirect
178. #3004C22semidirect
179. #3002C22semidirect
180. #3002C22semidirect
181. #3002C22semidirect
182. #3002C22semidirect
183. C2×#451C22semidirect
184. C2×#451C22semidirect
186. C2×#448C22semidirect
187. #2981C22semidirect
188. #2980C22semidirect
189. #2974C22semidirect
190. #2973C22semidirect
191. C4×#137C22semidirect
192. C2×#441C22semidirect
193. C2×#440C22semidirect
194. #2935C22semidirect
195. #2932C22semidirect
196. #2932C22semidirect
197. #2920C22semidirect
198. C2×#432C22semidirect
199. #2898C22semidirect
200. #2898C22semidirect
201. #2880C22semidirect
202. #2880C22semidirect

Maximal subgroups

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

subgroupindex
#628302
C2×#34972
#616812
#616722
#616712
#616032
#615942
#615772
#615742
#612212
#612202
#612042
#610962
#610812
#610802
#608052
#607902
#607652
#607642
#605602
C2×#31172
#603752
#603742
#602372