Finite Group Databasebeta

← #10580467

Subgroups — #10580467

Order 512.

6227 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62830C211yesmaximal, characteristic, complemented
2C2×#3518C211yesmaximal, characteristic, complemented
3#62219C214yesmaximal, complemented
4#62184C214yesmaximal, complemented
5#62071C214yesmaximal, complemented
6#62035C214yesmaximal, complemented
7#61888C211yesmaximal, characteristic, complemented
8#61882C211yesmaximal, characteristic, complemented
9#61830C211yesmaximal, characteristic, complemented
10#61820C211yesmaximal, characteristic, complemented
11#61739C214yesmaximal, complemented
12#61720C211yesmaximal, characteristic, complemented
13#61700C211yesmaximal, characteristic, complemented
14#61594C214yesmaximal, complemented
15#61584C211yesmaximal, characteristic, complemented
16#61562C211yesmaximal, characteristic, complemented
17#61557C214yesmaximal, complemented
18#61543C214yesmaximal, complemented
19#61495C214yesmaximal, complemented
20#61474C214yesmaximal, complemented
21#60980C214yesmaximal, complemented
22#60966C211yesmaximal, characteristic, complemented
23#60941C211yesmaximal, characteristic, complemented
24#60582C214yesmaximal, complemented
25#60561C211yesmaximal, characteristic, complemented
26#60536C211yesmaximal, characteristic, complemented
27#60290C211yesmaximal, characteristic, complemented
28#3562—22no—
29#3560—22no—
30#3552C2212yescomplemented
31#3551—22no—
32#3547C2212yescomplemented
33#3546C2212yescomplemented
34#3543C2212yescomplemented
35#3534—22no—
36#3520C2212yescomplemented
37#3519C2214yes—
38#3519C2212yescomplemented
39#3518—22no—
40#3518—22no—
41#3518—22no—
42#3518—22no—
43#3518C2214yescomplemented
44#3518C2214yescomplemented
45#3518C2214yescomplemented
46#3518C2214yescomplemented
47#3517C2212yescomplemented
48#3514—22no—
49#3514C2212yescomplemented
50#3512—21no—
51#3507C2211yescharacteristic
52#3506C2211yescharacteristic
53#3505—22no—
54#3500—21no—
55#3497C2211yescharacteristic
56#3496C2211yescharacteristic
57#3494C2214yes—
58#3489—21no—
59#3488—21no—
60C2×Q82C2211yescharacteristic, complemented
61C2×#556—22no—
62C2×#556—21no—
63C2×#556C2211yescharacteristic, complemented
64C2×#556C2212yescomplemented
65C2×#555—21no—
66C2×#555C2211yescharacteristic, complemented
67C2×D4×Q8C2211yescharacteristic, complemented
68C2×#548C2212yescomplemented
69C2×#542—22no—
70C2×#542C2212yescomplemented
71#3444C2211yescharacteristic
72C2×#533—21no—
73C2×#533C2211yescharacteristic, complemented
74C2×#532C2211yescharacteristic
75C2×#529—21no—
76C2×#529C2211yescharacteristic
77C2×#519C2212yescomplemented
78C2×C4×#41C2211yescharacteristic, complemented
79#3397C2214yescomplemented
80#3397C2214yescomplemented
81#3394C2214yescomplemented
82#3393C2214yescomplemented
83#3387C2214yescomplemented
84#3385C2214yescomplemented
85Q8×SD16C2214yescomplemented
86Q8×SD16C2214yescomplemented
87#3375C2214yescomplemented
88#3369C2214yescomplemented
89#3367C2214yescomplemented
90#3367C2214yescomplemented
91#3364C2214yescomplemented
92#3362C2214yescomplemented
93#3362C2214yescomplemented
94#3360C2214yescomplemented
95#3356C2218yescomplemented
96#3354C2214yescomplemented
97#3354C2214yescomplemented
98#3350C2218yescomplemented
99#3350C2218yescomplemented
100#3341C2214yescomplemented
101#3340C2214yescomplemented
102#3340C2218yescomplemented
103#3329C2214yescomplemented
104#3328C2214yescomplemented
105#3326C2218yescomplemented
106#3325C2214yescomplemented
107#3325C2214yescomplemented
108#3324C2218yescomplemented
109#3321C2218yescomplemented
110#3316C2218yescomplemented
111#3311C2218yescomplemented
112#3311C2218yescomplemented
113#3305C2214yescomplemented
114#3304C2218yescomplemented
115#3303C2214yescomplemented
116#3301C2218yescomplemented
117#3298C2214yescomplemented
118#3298C2214yescomplemented
119#3282C2218yescomplemented
120D4×SD16C2214yescomplemented
121D4×SD16C2214yescomplemented
122#3278C2214yescomplemented
123#3276C2214yescomplemented
124#3275C2218yescomplemented
125#3271C2218yescomplemented
126#3265C2218yescomplemented
127#3263C2218yescomplemented
128#3257C2218yescomplemented
129#3252C2214yescomplemented
130#3246C2214yescomplemented
131#3244C2218yescomplemented
132#3239C2214yescomplemented
133#3231C2212yescomplemented
134#3230C2211yescharacteristic, complemented
135#3229C2212yescomplemented
136#3227C2211yescharacteristic
137#3227C2211yescharacteristic, complemented
138#3227C2211yescharacteristic, complemented
139#3227C2214yescomplemented
140#3224C2218yescomplemented
141#3213C2214yescomplemented
142#3211C2214yescomplemented
143#3210C2212yescomplemented
144#3209C2211yescharacteristic, complemented
145#3208C2212yescomplemented
146#3206C2211yescharacteristic
147#3206C2211yescharacteristic, complemented
148#3206C2211yescharacteristic, complemented
149#3196C2214yescomplemented
150#3196C2214yescomplemented
151#3192C2214yescomplemented
152#3188C2214yescomplemented
153#3187C2214yescomplemented
154#3187C2214yescomplemented
155#3185C2212yescomplemented
156#3182C2212yescomplemented
157#3179C2218yescomplemented
158#3173C2218yescomplemented
159#3167C2212yescomplemented
160#3167C2212yescomplemented
161#3126C2218yescomplemented
162#3126C2218yescomplemented
163#3125C2218yescomplemented
164#3121C2218yescomplemented
165#3121C2218yescomplemented
166#3118C2218yescomplemented
167#3117C2214yescomplemented
168#3117C2214yescomplemented
169#3116C2214yescomplemented
170#3115C2212yescomplemented
171#3115C2212yescomplemented
172#3112C2214yescomplemented
173#3112C2212yescomplemented
174#3109C2212yescomplemented
175#3108C2214yescomplemented
176#3108C2212yescomplemented
177#3107C2212yescomplemented
178#3106C2214yescomplemented
179#3106C2212yescomplemented
180#3105C2212yescomplemented
181#3104C2211yescharacteristic, complemented
182#3103C2211yescharacteristic
183#3103C2214yescomplemented
184#3103C2211yescharacteristic, complemented
185#3103C2211yescharacteristic, complemented
186#3103C2214yescomplemented
187#3102C2214yescomplemented
188#3101C2211yescharacteristic, complemented
189#3101C2214yescomplemented
190#3100C2211yescharacteristic
191#3100C2211yescharacteristic, complemented
192#3100C2211yescharacteristic, complemented
193#3094C2214yescomplemented
194#3094C2212yescomplemented
195#3091C2214yescomplemented
196#3091C2212yescomplemented
197#3082C2218yescomplemented
198#3079C2212yescomplemented
199#3076C2212yescomplemented
200#3043C2218yescomplemented
201#3038C2212yescomplemented
202#3035C2212yescomplemented
203#3006C2212yescomplemented
204#3004C2214yescomplemented
205#3002C2212yescomplemented
206C2×#448C2214yescomplemented
207#2994C2214yescomplemented
208#2993C2214yescomplemented
209#2983C2211yescharacteristic, complemented
210#2982C2211yescharacteristic, complemented
211#2975C2211yescharacteristic, complemented
212#2974C2214yescomplemented
213#2972C2211yescharacteristic, complemented
214#2969C2214yescomplemented
215#2966C2214yescomplemented
216#2949C2218yescomplemented
217#2947C2218yescomplemented
218C4×AGL(1,ℤ/8)C2214yescomplemented
219C4×#135C2214yescomplemented
220#2924C2214yescomplemented
221#2920C2211yescharacteristic, complemented
222C2×#431C2211yescharacteristic, complemented
223C2×2−1+4—21no—
224C2×H(5,𝔽2)—21no—
225C22×#41—21no—
226C22×#41C2311yescharacteristic
227C23×Q8C2312yes—
228C2×#137C2318yes—
229C2×AGL(1,ℤ/8)C2314yes—
230C2×#135C2314yes—
231C22×SD16C2318yes—
232#563—24no—
233#562—24no—
234#560—24no—
235#560—24no—
236#559—22no—
237#559C2312yes—
238Q82—22no—
239Q82—22no—
240Q82C2314yes—
241Q82C2314yes—
242#557C2312yes—
243#556—28no—
244#556—28no—
245#556—28no—
246#556—28no—
247#556—24no—
248#556—24no—
249#556—24no—
250#556—24no—
251#556—22no—
252#556—22no—
253#556—22no—
254#556—24no—
255#556—24no—
256#556C2314yes—
257#556C2314yes—
258#556C2312yes—
259#556C2312yes—
260#556C2318yes—
261#556C2318yes—
262#555—24no—
263#555—24no—
264#555—24no—
265#555—24no—
266#555—22no—
267#555—22no—
268#555—24no—
269#555C2312yes—
270#555C2314yes—
271#555C2314yes—
272#555C2314yes—
273#554C2312yes—
274#554C2314yes—
275#553—24no—
276#553—22no—
277#553—22no—
278#553—22no—
279#553—24no—
280#553—24no—
281#553—24no—
282#553C2314yes—
283#553C2314yes—
284#552—22no—
285#552—22no—
286#552—22no—
287#551—24no—
288#551—24no—
289#551—24no—
290#551—24no—
291#550—22no—
292#550C2312yes—
293#550C2314yes—
294#550C2312yes—
295#550C2312yes—
296D4×Q8—22no—
297D4×Q8—22no—
298D4×Q8—22no—
299D4×Q8C2314yes—
300D4×Q8C2314yes—
301D4×Q8C2312yes—
302D4×Q8C2312yes—
303#548—22no—
304#548—22no—
305#548—22no—
306#548—22no—
307#548—22no—
308#548—22no—
309#548—24no—
310#548—24no—
311#548C2318yes—
312#548C2318yes—
313#547—22no—
314#547—24no—
315#547C2312yes—
316#547C2312yes—
317#547C2312yes—
318#546—22no—
319#546—22no—
320#546—24no—
321#546—22no—
322#546—22no—
323#546—22no—
324#546—22no—
325#546—24no—
326#546—24no—
327#546—24no—
328#546—24no—
329#546C2314yes—
330#546C2314yes—
331D42—24no—
332D42—22no—
333D42C2312yes—
334D42C2312yes—
335D42C2314yes—
336#544C2314yes—
337#542—24no—
338#542—28no—
339#542—28no—
340#542—28no—
341#542—28no—
342#542—24no—
343#542—24no—
344#542C2318yes—
345#542C2314yes—
346#542C2314yes—
347#542C2318yes—
348#541—22no—
349#540—22no—
350#540—24no—
351#540—24no—
352#540C2314yes—
353#540C2314yes—
354#539—24no—
355#539—24no—
356#539—22no—
357#538—24no—
358#538—24no—
359#538—24no—
360#538—24no—
361#538—24no—
362#538—22no—
363#537—22no—
364#537—22no—
365#537—21no—
366#537—21no—
367#537—22no—
368#536—21no—
369#536—22no—
370#536—22no—
371#535—21no—
372#535—22no—
373#535—22no—
374#535C2314yes—
375#534—24no—
376#534—22no—
377#533—24no—
378#533—24no—
379#533—24no—
380#533—24no—
381#533—21no—
382#533—21no—
383#533—21no—
384#533—21no—
385#533C2312yes—
386#533C2311yescharacteristic
387#533C2311yescharacteristic
388#533C2312yes—
389#533C2312yes—
390#533C2312yes—
391#533C2311yescharacteristic
392#532—22no—
393#532—21no—
394#532—21no—
395#532—21no—
396#532—21no—
397#532C2311yescharacteristic
398#532C2311yescharacteristic
399#532C2311yescharacteristic
400#532C2311yescharacteristic
401#532C2312yes—
402#532C2314yes—
403#532C2311yescharacteristic
404#532C2312yes—
405#532C2311yescharacteristic
406#532C2311yescharacteristic
407C2×C4⋊Q8—21no—
408C2×C4⋊Q8—21no—
409C2×C4⋊Q8—22no—
410C2×C4⋊Q8C2311yescharacteristic
411C2×C4⋊Q8C2311yescharacteristic
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2312yes—
414C2×#127C2311yescharacteristic
415#529—22no—
416#529—22no—
417#529—24no—
418#529—24no—
419#529—24no—
420#529—24no—
421#529—21no—
422#529—21no—
423#529—21no—
424#529—21no—
425#529D412yes—
426#529D412yes—
427#529D412yes—
428#529D412yes—
429#529C2312yes—
430#529C2312yes—
431#529C2314yes—
432#529C2312yes—
433#529C2312yes—
434#529C2312yes—
435#529C2312yes—
436C2×#126—22no—
437C2×#126—22no—
438C2×#126—22no—
439C2×#126—22no—
440C2×#126D412yes—
441C2×#125—21no—
442C2×#125D411yescharacteristic
443C2×#124—22no—
444C2×#124—22no—
445C2×#124—22no—
446C2×#124—22no—
447C2×#124—22no—
448C2×#124—21no—
449C2×#124D411yescharacteristic
450C2×#124C2312yes—
451#525—21no—
452#525—21no—
453#525—22no—
454#525—22no—
455#525C2314yes—
456#525C2312yes—
457C2×#123—22no—
458C2×#123D412yes—
459C2×C22⋊Q8—21no—
460C2×C22⋊Q8—21no—
461C2×C22⋊Q8—22no—
462C2×C22⋊Q8—22no—
463C2×C22⋊Q8—22no—
464C2×C22⋊Q8—22no—
465C2×C22⋊Q8D411yescharacteristic
466C2×C22⋊Q8C2312yes—
467C2×C22⋊Q8C2312yes—
468C2×#121—21no—
469C2×#121—22no—
470C2×#121—21no—
471C2×#121—22no—
472C2×#121D411yescharacteristic
473C2×#121C2312yes—
474C2×#121C2314yes—
475C2×#121C2312yes—
476#520—21no—
477#520—21no—
478#520C2314yes—
479#519—24no—
480#519—24no—
481#519C2318yes—
482#519C2318yes—
483#518—24no—
484#518C2314yes—
485C4×#41—21no—
486C4×#41—21no—
487C4×#41—21no—
488C4×#41—21no—
489C4×#41—21no—
490C4×#41—21no—
491C4×#41C2312yes—
492C4×#41C2312yes—
493C4×#41C2312yes—
494C4×#41C2312yes—
495C4×#41C2312yes—
496C2×C4×Q8—21no—
497C2×C4×Q8—22no—
498C2×C4×Q8—22no—
499C2×C4×Q8—22no—
500C2×C4×Q8—21no—
501C2×C4×Q8C2311yescharacteristic
502C2×C4×Q8C2312yes—
503C2×C4×Q8C2312yes—
504C2×C4×Q8C2311yescharacteristic
505C2×C4×Q8C2312yes—
506C2×C4×Q8C2311yescharacteristic
507C2×C4×D4—21no—
508C2×C4×D4—21no—
509C2×C4×D4—21no—
510C2×C4×D4—22no—
511C2×C4×D4—21no—
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2312yes—
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2312yes—
516C2×C4×D4C2311yescharacteristic
517C2×#117—21no—
518C2×#117—21no—
519C2×#117—21no—
520C2×#117—22no—
521C2×#117—22no—
522C2×#117—21no—
523C2×#117C2311yescharacteristic
524C2×#117C2312yes—
525C2×#117C2312yes—
526C22×C42—21no—
527C22×C42C2311yescharacteristic
528#501C2318yes—
529#500C2312yes—
530#498C2312yes—
531#498C2318yes—
532#498C2312yes—
533#498C2312yes—
534#496C2318yes—
535#495C2318yes—
536#494C2312yes—
537#492C2312yes—
538#492C2312yes—
539#492C2312yes—
540#489C2318yes—
541#489C2318yes—
542#488C2318yes—
543#487C2312yes—
544#487C2312yes—
545#487C2312yes—
546#487C2312yes—
547#487C2312yes—
548#486C2312yes—
549#486C2318yes—
550#486C2312yes—
551#486C2312yes—
552#485C2318yes—
553#485C2318yes—
554#485C2318yes—
555#485C2314yes—
556#484C2312yes—
557#484C2314yes—
558#483C2312yes—
559#483C2318yes—
560#483C2318yes—
561#482C2314yes—
562#482C2318yes—
563#482C2318yes—
564#482C2318yes—
565#482C2314yes—
566#482C2314yes—
567#482C2318yes—
568#481C2314yes—
569#481C2312yes—
570#481C2312yes—
571#481C2312yes—
572#481C2314yes—
573#481C2314yes—
574#481C2318yes—
575#480C2312yes—
576#480C2312yes—
577#480C2312yes—
578#479C2314yes—
579#479C2318yes—
580#479C2318yes—
581#479C2318yes—
582#478C2314yes—
583#477C2312yes—
584#477C2314yes—
585#477C2318yes—
586#477C2314yes—
587#476C2312yes—
588#476C2314yes—
589#476C2314yes—
590#476C2318yes—
591#476C2318yes—
592#476C2314yes—
593#476C2314yes—
594#475C2312yes—
595#475C2312yes—
596#475C2312yes—
597#475C2318yes—
598#475C2318yes—
599#475C2318yes—
600#474C2312yes—
601#474C2312yes—
602#474C2312yes—
603#474C2318yes—
604#470C2318yes—
605#470C2318yes—
606#469C2318yes—
607#469C2318yes—
608#468C2318yes—
609#468C2318yes—
610#466C2318yes—
611#465C2318yes—
612#465C2318yes—
613#465C2318yes—
614#465C2318yes—
615#465C2318yes—
616#464C2314yes—
617#464C2318yes—
618#464C2318yes—
619#464C2318yes—
620#464C2318yes—
621#463C2314yes—
622#463C2318yes—
623#463C2318yes—
624#463C2318yes—
625#462C2314yes—
626#462C2312yes—
627#461C2314yes—
628#461C2314yes—
629#461C2312yes—
630#461C2314yes—
631#460C2312yes—
632#460C2312yes—
633#460C2312yes—
634#460C2318yes—
635#460C2318yes—
636#460C2314yes—
637#460C2318yes—
638#459C2312yes—
639#459C2312yes—
640#459C2312yes—
641#459C2314yes—
642#452C2314yes—
643#452C2318yes—
644#452C2318yes—
645#451C2318yes—
646#451C2312yes—
647#451C2314yes—
648#450C2312yes—
649#450C2318yes—
650#450C2318yes—
651#449C2314yes—
652#449C2314yes—
653#449C2314yes—
654#449C2318yes—
655#448C2318yes—
656#448C2312yes—
657#448C2312yes—
658#448C2312yes—
659#448C2314yes—
660#448C2314yes—
661#448C2314yes—
662#448C2318yes—
663#448C2318yes—
664#447C2312yes—
665#447C2312yes—
666#447C2312yes—
667#447C2318yes—
668#446C2314yes—
669#446C2314yes—
670C8×Q8C2314yes—
671C8×Q8C2314yes—
672#442C2314yes—
673#442C2314yes—
674#441C2318yes—
675#441C2318yes—
676#440C2318yes—
677#440C2318yes—
678#440C2314yes—
679#440C2314yes—
680#440C2318yes—
681#440C2318yes—
682C4×Q16C2314yes—
683C4×Q16C2318yes—
684C4×Q16C2314yes—
685C4×SD16C2314yes—
686C4×SD16C2314yes—
687C4×SD16C2318yes—
688C4×SD16C2318yes—
689C4×SD16C2318yes—
690C4×SD16C2314yes—
691C4×SD16C2314yes—
692C4×SD16C2318yes—
693C4×SD16C2318yes—
694C4×SD16C2314yes—
695C4×SD16C2314yes—
696C4×D8C2314yes—
697C4×D8C2314yes—
698C4×D8C2314yes—
699C4×D8C2314yes—
700#436C2314yes—
701#436C2314yes—
702#436C2318yes—
703#435C2318yes—
704#435C2318yes—
705C8×D4C2314yes—
706C8×D4C2318yes—
707C8×D4C2314yes—
708#433C2318yes—
709#433C2318yes—
710#432C2312yes—
711#432C2314yes—
712#432C2312yes—
713#431C2311yescharacteristic
714#431C2311yescharacteristic
715#431C2311yescharacteristic
716#431C2312yes—
717#431C2311yescharacteristic
718#431C2312yes—
719#431C2312yes—
720#431C2314yes—
721#431C2312yes—
722#428C2314yes—
723#428C2318yes—
724#427C2314yes—
725#427C2318yes—
726#424C2318yes—
727#423C2312yes—
728C2×C4⋊C8C2312yes—
729#419C2318yes—
730#418C2314yes—
731#418C2318yes—
732#417C2314yes—
733#416C2314yes—
734#416C2314yes—
735#416C2318yes—
736C2×#103C2318yes—
737#407C2312yes—
738#407C2314yes—
739C2×C22⋊C8C2312yes—
740C2×C22⋊C8C2314yes—
741#405C2318yes—
742C4×M16C2312yes—
743C2×C4×C8C2312yes—
7442−1+4—84no—
745H(5,𝔽2)—84no—
746C2×#41—22no—
747C2×#41—22no—
748C2×#41—22no—
749C2×#41—22no—
750C2×#41—21no—
751C2×#41—21no—
752C2×#41—21no—
753C2×#41—21no—
754C2×#41—21no—
755C2×#41—21no—
756C2×#41—22no—
757C2×#41—22no—
758C2×#41—21no—
759C2×#41—21no—
760C2×#41—24no—
761C2×#41—44no—
762C2×#41—84no—
763C2×#41C2412yes—
764C2×#41C2412yes—
765C2×#41C2412yes—
766C2×#41C2414yes—
767C22×Q8—22no—
768C22×Q8—22no—
769C22×Q8—22no—
770C22×Q8—24no—
771C22×Q8—21no—
772C22×Q8—22no—
773C22×Q8—21no—
774C22×Q8—48no—
775C22×Q8C2×D411yescharacteristic
776C22×Q8C2411yescharacteristic
777C22×Q8C2418yes—
778C22×Q8C2412yes—
779C22×D4—21no—
780C22×D4—22no—
781C22×D4—22no—
782C22×D4—24no—
783C22×D4—24no—
784C22×D4—22no—
785C22×D4—22no—
786C22×D4—21no—
787C22×D4—21no—
788C22×D4C2×D411yescharacteristic
789C22×D4C2×D412yes—
790C22×D4C2411yescharacteristic
791C22×D4C2412yes—
792C22×D4C2414yes—
793C23×C4—22no—
794C23×C4—21no—
795C23×C4—21no—
796C23×C4—22no—
797C23×C4—21no—
798C23×C4C2×D411yescharacteristic
799C23×C4C2×D411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2411yescharacteristic
802#137—416no—
803AGL(1,ℤ/8)—48no—
804#135—48no—
805C2×Q16C2414yes—
806C2×Q16C2418yes—
807C2×SD16—416no—
808C2×SD16C2414yes—
809C2×SD16C2414yes—
810C2×SD16C2414yes—
811C2×SD16C2418yes—
812C2×SD16C2418yes—
813C2×SD16C2414yes—
814C2×SD16C2418yes—
815C2×D8C2414yes—
816C2×D8C2414yes—
817C2×D8C2414yes—
818C2×M16C2414yes—
819C2×M16C2418yes—
820C22×C8C2418yes—
821C22×C8C2414yes—
822C4⋊Q8—22no—
823C4⋊Q8—24no—
824C4⋊Q8—24no—
825C4⋊Q8—24no—
826C4⋊Q8—24no—
827C4⋊Q8—28no—
828C4⋊Q8—28no—
829C4⋊Q8—24no—
830C4⋊Q8—21no—
831C4⋊Q8—21no—
832C4⋊Q8—21no—
833C4⋊Q8—21no—
834C4⋊Q8—21no—
835C4⋊Q8—21no—
836C4⋊Q8—24no—
837C4⋊Q8C2412yes—
838C4⋊Q8C2412yes—
839C4⋊Q8C2411yescharacteristic
840C4⋊Q8C2412yes—
841C4⋊Q8C2411yescharacteristic
842C4⋊Q8C2411yescharacteristic
843C4⋊Q8C2412yes—
844C4⋊Q8C2412yes—
845C4⋊Q8C2418yes—
846C4⋊Q8C2411yescharacteristic
847C4⋊Q8C2411yescharacteristic
848C4⋊Q8C2414yes—
849#127—22no—
850#127—24no—
851#127—21no—
852#127—21no—
853#127C2412yes—
854#127C2411yescharacteristic
855#127C2411yescharacteristic
856#127C2411yescharacteristic
857#127C2414yes—
858#126—28no—
859#126—28no—
860#126—28no—
861#126—28no—
862#126—24no—
863#126—24no—
864#126—24no—
865#126—24no—
866#126—24no—
867#126—28no—
868#126—28no—
869#126—28no—
870#126—28no—
871#126—24no—
872#126—22no—
873#126—22no—
874#126—24no—
875#126C2×D414yes—
876#126C2×D414yes—
877#126C2×D414yes—
878#126C2×D414yes—
879#125—24no—
880#125—24no—
881#125—24no—
882#125—22no—
883#125—22no—
884#125—22no—
885#125—22no—
886#125—21no—
887#125—21no—
888#125C2×D412yes—
889#125C2×D412yes—
890#125C2×D412yes—
891#125C2×D412yes—
892#125C2412yes—
893#125C2414yes—
894#124—22no—
895#124—22no—
896#124—28no—
897#124—28no—
898#124—24no—
899#124—24no—
900#124—28no—
901#124—28no—
902#124—28no—
903#124—28no—
904#124—28no—
905#124—28no—
906#124—24no—
907#124—24no—
908#124—24no—
909#124—21no—
910#124—21no—
911#124—22no—
912#124—21no—
913#124—21no—
914#124—22no—
915#124—24no—
916#124—21no—
917#124—21no—
918#124—24no—
919#124C2×D412yes—
920#124C2×D412yes—
921#124C2×D412yes—
922#124C2×D412yes—
923#124C2418yes—
924#124C2412yes—
925#124C2414yes—
926#123—22no—
927#123—22no—
928#123—22no—
929#123—24no—
930#123—24no—
931#123—24no—
932#123—24no—
933#123—24no—
934#123—24no—
935#123—24no—
936#123—24no—
937#123—24no—
938#123—28no—
939#123—28no—
940#123—24no—
941#123—24no—
942#123—24no—
943#123—24no—
944#123—24no—
945#123—24no—
946#123—24no—
947#123C2×D414yes—
948#123C2×D414yes—
949#123C2×D414yes—
950#123C2×D414yes—
951C22⋊Q8—24no—
952C22⋊Q8—24no—
953C22⋊Q8—22no—
954C22⋊Q8—22no—
955C22⋊Q8—21no—
956C22⋊Q8—22no—
957C22⋊Q8—22no—
958C22⋊Q8—22no—
959C22⋊Q8—22no—
960C22⋊Q8—22no—
961C22⋊Q8—22no—
962C22⋊Q8—24no—
963C22⋊Q8—21no—
964C22⋊Q8—21no—
965C22⋊Q8—21no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—22no—
971C22⋊Q8—24no—
972C22⋊Q8—22no—
973C22⋊Q8—22no—
974C22⋊Q8—22no—
975C22⋊Q8—24no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8C2×D412yes—
986C22⋊Q8C2×D412yes—
987C22⋊Q8C2×D412yes—
988C22⋊Q8C2×D412yes—
989C22⋊Q8C2414yes—
990C22⋊Q8C2414yes—
991C22⋊Q8C2418yes—
992C22⋊Q8C2412yes—
993C22⋊Q8C2412yes—
994C22⋊Q8C2414yes—
995#121—24no—
996#121—24no—
997#121—22no—
998#121—24no—
999#121—28no—
1000#121—28no—
1001#121—22no—
1002#121—24no—
1003#121—24no—
1004#121—21no—
1005#121—21no—
1006#121—21no—
1007#121—21no—
1008#121—21no—
1009#121—22no—
1010#121—22no—
1011#121—22no—
1012#121—22no—
1013#121—24no—
1014#121—24no—
1015#121—24no—
1016#121—21no—
1017#121—21no—
1018#121—21no—
1019#121—24no—
1020#121—22no—
1021#121—22no—
1022#121—22no—
1023#121—22no—
1024#121—24no—
1025#121—24no—
1026#121—24no—
1027#121—24no—
1028#121—24no—
1029#121—24no—
1030#121—24no—
1031#121—24no—
1032#121—24no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—24no—
1037#121—24no—
1038#121C2×D412yes—
1039#121C2×D412yes—
1040#121C2×D412yes—
1041#121C2×D412yes—
1042#121C2412yes—
1043#121C2412yes—
1044#121C2412yes—
1045#121C2412yes—
1046#121C2412yes—
1047#121C2414yes—
1048#121C2414yes—
1049#121C2418yes—
1050#121C2412yes—
1051#121C2414yes—
1052#120—22no—
1053#120—24no—
1054#120—24no—
1055#120—24no—
1056#120—24no—
1057#120—24no—
1058#120—24no—
1059#120—24no—
1060#120—24no—
1061#120—24no—
1062C4×Q8—24no—
1063C4×Q8—24no—
1064C4×Q8—28no—
1065C4×Q8—28no—
1066C4×Q8—28no—
1067C4×Q8—28no—
1068C4×Q8—28no—
1069C4×Q8—28no—
1070C4×Q8—22no—
1071C4×Q8—22no—
1072C4×Q8—22no—
1073C4×Q8—22no—
1074C4×Q8—22no—
1075C4×Q8—22no—
1076C4×Q8—21no—
1077C4×Q8—21no—
1078C4×Q8—21no—
1079C4×Q8—21no—
1080C4×Q8—22no—
1081C4×Q8—22no—
1082C4×Q8—24no—
1083C4×Q8—24no—
1084C4×Q8—21no—
1085C4×Q8—21no—
1086C4×Q8—21no—
1087C4×Q8—21no—
1088C4×Q8C2×D412yes—
1089C4×Q8C2×D412yes—
1090C4×Q8C2412yes—
1091C4×Q8C2412yes—
1092C4×Q8C2412yes—
1093C4×Q8C2412yes—
1094C4×Q8C2414yes—
1095C4×Q8C2414yes—
1096C4×Q8C2418yes—
1097C4×Q8C2418yes—
1098C4×Q8C2412yes—
1099C4×Q8C2412yes—
1100C4×Q8C2414yes—
1101C4×Q8C2412yes—
1102C4×Q8C2412yes—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—22no—
1107C4×D4—22no—
1108C4×D4—22no—
1109C4×D4—22no—
1110C4×D4—22no—
1111C4×D4—22no—
1112C4×D4—22no—
1113C4×D4—22no—
1114C4×D4—22no—
1115C4×D4—22no—
1116C4×D4—22no—
1117C4×D4—22no—
1118C4×D4—22no—
1119C4×D4—22no—
1120C4×D4—24no—
1121C4×D4—24no—
1122C4×D4—24no—
1123C4×D4—24no—
1124C4×D4—24no—
1125C4×D4—24no—
1126C4×D4—22no—
1127C4×D4—22no—
1128C4×D4—28no—
1129C4×D4—28no—
1130C4×D4—24no—
1131C4×D4—24no—
1132C4×D4—24no—
1133C4×D4—24no—
1134C4×D4—21no—
1135C4×D4—22no—
1136C4×D4—21no—
1137C4×D4—21no—
1138C4×D4—22no—
1139C4×D4—21no—
1140C4×D4—21no—
1141C4×D4—21no—
1142C4×D4—21no—
1143C4×D4—21no—
1144C4×D4—22no—
1145C4×D4—22no—
1146C4×D4—21no—
1147C4×D4—21no—
1148C4×D4—21no—
1149C4×D4—21no—
1150C4×D4—24no—
1151C4×D4C2×D414yes—
1152C4×D4C2×D414yes—
1153C4×D4C2×D412yes—
1154C4×D4C2×D412yes—
1155C4×D4C2412yes—
1156C4×D4C2412yes—
1157C4×D4C2412yes—
1158C4×D4C2412yes—
1159C4×D4C2412yes—
1160C4×D4C2412yes—
1161C4×D4C2412yes—
1162C4×D4C2412yes—
1163C4×D4C2412yes—
1164C4×D4C2412yes—
1165C4×D4C2414yes—
1166C4×D4C2414yes—
1167C4×D4C2414yes—
1168C4×D4C2414yes—
1169C4×D4C2412yes—
1170C4×D4C2412yes—
1171C4×D4C2414yes—
1172#117—22no—
1173#117—22no—
1174#117—22no—
1175#117—22no—
1176#117—21no—
1177#117—21no—
1178#117—24no—
1179#117—21no—
1180#117—21no—
1181#117—24no—
1182#117—24no—
1183#117—24no—
1184#117—24no—
1185#117—24no—
1186#117—22no—
1187#117—22no—
1188#117—24no—
1189#117—28no—
1190#117—28no—
1191#117—28no—
1192#117—28no—
1193#117—22no—
1194#117—22no—
1195#117—22no—
1196#117—22no—
1197#117—22no—
1198#117—22no—
1199#117—22no—
1200#117—24no—
1201#117C2×D414yes—
1202#117C2×D414yes—
1203#117C2412yes—
1204#117C2412yes—
1205#117C2418yes—
1206#117C2412yes—
1207#117C2414yes—
1208#117C2414yes—
1209#117C2414yes—
1210C2×C4⋊C4—21no—
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4—21no—
1213C2×C4⋊C4—21no—
1214C2×C4⋊C4—22no—
1215C2×C4⋊C4—22no—
1216C2×C4⋊C4—22no—
1217C2×C4⋊C4—22no—
1218C2×C4⋊C4—21no—
1219C2×C4⋊C4—21no—
1220C2×C4⋊C4—22no—
1221C2×C4⋊C4—22no—
1222C2×C4⋊C4—22no—
1223C2×C4⋊C4—22no—
1224C2×C4⋊C4—24no—
1225C2×C4⋊C4C2×D411yescharacteristic
1226C2×C4⋊C4C2×D411yescharacteristic
1227C2×C4⋊C4C2×D412yes—
1228C2×C4⋊C4C2×D412yes—
1229C2×C4⋊C4C2×D412yes—
1230C2×C4⋊C4C2×D412yes—
1231C2×C4⋊C4C2411yescharacteristic
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2414yes—
1236C2×C22⋊C4—22no—
1237C2×C22⋊C4—22no—
1238C2×C22⋊C4—21no—
1239C2×C22⋊C4—22no—
1240C2×C22⋊C4—21no—
1241C2×C22⋊C4—21no—
1242C2×C22⋊C4—22no—
1243C2×C22⋊C4—22no—
1244C2×C22⋊C4—22no—
1245C2×C22⋊C4—22no—
1246C2×C22⋊C4—22no—
1247C2×C22⋊C4—24no—
1248C2×C22⋊C4—24no—
1249C2×C22⋊C4—24no—
1250C2×C22⋊C4—24no—
1251C2×C22⋊C4—24no—
1252C2×C22⋊C4C2×D412yes—
1253C2×C22⋊C4C2×D412yes—
1254C2×C22⋊C4C2×D412yes—
1255C2×C22⋊C4C2×D412yes—
1256C2×C22⋊C4C2×D412yes—
1257C2×C42—21no—
1258C2×C42—22no—
1259C2×C42—22no—
1260C2×C42—22no—
1261C2×C42—21no—
1262C2×C42—22no—
1263C2×C42—21no—
1264C2×C42—22no—
1265C2×C42—22no—
1266C2×C42—22no—
1267C2×C42—22no—
1268C2×C42—22no—
1269C2×C42C2×D411yescharacteristic
1270C2×C42C2×D411yescharacteristic
1271C2×C42C2×D411yescharacteristic
1272C2×C42C2×D411yescharacteristic
1273C2×C42C2×D411yescharacteristic
1274C2×C42C2×D411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2412yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282#107C2414yes—
1283#107C2414yes—
1284#107C2414yes—
1285#107C2418yes—
1286#107C2414yes—
1287#106C2414yes—
1288#106C2418yes—
1289#106C2414yes—
1290#106C2418yes—
1291#106C2418yes—
1292#106C2414yes—
1293#106C2414yes—
1294C4⋊C8C2414yes—
1295C4⋊C8C2412yes—
1296C4⋊C8C2412yes—
1297C4⋊C8C2414yes—
1298C4⋊C8C2412yes—
1299C4⋊C8C2412yes—
1300C4⋊C8C2418yes—
1301C4⋊C8C2418yes—
1302#103C2414yes—
1303#103C2414yes—
1304#103C2418yes—
1305#103C2418yes—
1306#103C2414yes—
1307#103C2414yes—
1308#103C2414yes—
1309#103C2418yes—
1310#103C2414yes—
1311#103C2418yes—
1312#103C2418yes—
1313#102C2414yes—
1314#102C2414yes—
1315#102C2414yes—
1316#102C2414yes—
1317#102C2414yes—
1318#102C2418yes—
1319#102C2414yes—
1320#102C2414yes—
1321#102C2414yes—
1322#102C2418yes—
1323#102C2418yes—
1324#102C2414yes—
1325#102C2414yes—
1326C22⋊C8C2412yes—
1327C22⋊C8C2412yes—
1328C22⋊C8C2412yes—
1329C22⋊C8C2414yes—
1330C22⋊C8C2418yes—
1331C22⋊C8C2412yes—
1332C22⋊C8C2414yes—
1333C22⋊C8C2418yes—
1334#97C2414yes—
1335#97C2418yes—
1336C4×C8C2414yes—
1337C4×C8C2412yes—
1338C4×C8C2412yes—
1339C4×C8C2412yes—
1340C4×C8C2412yes—
1341C4×C8C2418yes—
1342C24—21no—
1343C24—22no—
1344C24—24no—
1345C24C22×D411yescharacteristic
1346C24C22×D412yes—
1347#41—24no—
1348#41—24no—
1349#41—42no—
1350#41—42no—
1351#41—44no—
1352#41—48no—
1353#41—44no—
1354#41—44no—
1355#41—44no—
1356#41—44no—
1357#41—44no—
1358#41—84no—
1359#41—84no—
1360#41—88no—
1361#41—82no—
1362#41—82no—
1363#41—84no—
1364#41—84no—
1365#41—82no—
1366#41—84no—
1367#41—84no—
1368C2×Q8—24no—
1369C2×Q8—24no—
1370C2×Q8—21no—
1371C2×Q8—28no—
1372C2×Q8—22no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—21no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—28no—
1380C2×Q8—24no—
1381C2×Q8—22no—
1382C2×Q8—216no—
1383C2×Q8—48no—
1384C2×Q8—44no—
1385C2×Q8—48no—
1386C2×Q8—416no—
1387C2×Q8—82no—
1388C2×Q8—82no—
1389C2×Q8—84no—
1390C2×Q8—84no—
1391C2×Q8—84no—
1392C2×Q8C22×D412yes—
1393C2×Q8C22×D412yes—
1394C2×Q8C2512yes—
1395C2×Q8C2514yes—
1396C2×Q8C2512yes—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—28no—
1407C2×D4—22no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—22no—
1411C2×D4—24no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—24no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—24no—
1422C2×D4—21no—
1423C2×D4—24no—
1424C2×D4—22no—
1425C2×D4—42no—
1426C2×D4—48no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—82no—
1430C2×D4—84no—
1431C2×D4—84no—
1432C2×D4—82no—
1433C2×D4—82no—
1434C2×D4—84no—
1435C2×D4—84no—
1436C2×D4—88no—
1437C2×D4—88no—
1438C2×D4C22×D412yes—
1439C2×D4C22×D412yes—
1440C2×D4C22×D414yes—
1441C2×D4C22×D414yes—
1442C2×D4C2512yes—
1443C2×D4C2512yes—
1444C2×D4C2512yes—
1445C2×D4C2512yes—
1446C22×C4—21no—
1447C22×C4—24no—
1448C22×C4—21no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—21no—
1452C22×C4—28no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—44no—
1473C22×C4—42no—
1474C22×C4—48no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—84no—
1478C22×C4—81no—
1479C22×C4—82no—
1480C22×C4C22×D411yescharacteristic
1481C22×C4C22×D412yes—
1482C22×C4C22×D411yescharacteristic
1483C22×C4C22×D411yescharacteristic
1484C22×C4C22×D411yescharacteristic
1485C22×C4C22×D411yescharacteristic
1486C22×C4C22×D411yescharacteristic
1487C22×C4C22×D411yescharacteristic
1488C22×C4C22×D412yes—
1489C22×C4C22×D412yes—
1490C22×C4C22×D411yescharacteristic
1491C22×C4C22×D411yescharacteristic
1492C22×C4C22×D411yescharacteristic
1493C22×C4C22×D411yescharacteristic
1494C22×C4C22×D411yescharacteristic
1495C22×C4C22×D411yescharacteristic
1496C22×C4C22×D411yescharacteristic
1497C22×C4C22×D414yes—
1498C22×C4C22×D411yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2514yes—
1503Q16—28no—
1504Q16—48no—
1505SD16—28no—
1506SD16—28no—
1507SD16—28no—
1508SD16—48no—
1509SD16—48no—
1510SD16—44no—
1511SD16—48no—
1512D8—44no—
1513D8—44no—
1514D8—44no—
1515M16—44no—
1516M16—48no—
1517C2×C8—48no—
1518C2×C8—44no—
1519C2×C8C2514yes—
1520C2×C8C2514yes—
1521C2×C8C2514yes—
1522C2×C8C2514yes—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—21no—
1542C4⋊C4—22no—
1543C4⋊C4—21no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—28no—
1550C4⋊C4—28no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—22no—
1564C4⋊C4C22×D412yes—
1565C4⋊C4C22×D412yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D412yes—
1568C4⋊C4C22×D412yes—
1569C4⋊C4C22×D414yes—
1570C4⋊C4C22×D414yes—
1571C4⋊C4C22×D414yes—
1572C4⋊C4C22×D414yes—
1573C4⋊C4C22×D414yes—
1574C4⋊C4C22×D414yes—
1575C4⋊C4C22×D414yes—
1576C4⋊C4C2512yes—
1577C4⋊C4C2514yes—
1578C4⋊C4C2512yes—
1579C4⋊C4C2512yes—
1580C4⋊C4C2512yes—
1581C4⋊C4C2512yes—
1582C4⋊C4C2512yes—
1583C22⋊C4—22no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—22no—
1598C22⋊C4—22no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—22no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—22no—
1618C22⋊C4—22no—
1619C22⋊C4—22no—
1620C22⋊C4—24no—
1621C22⋊C4—22no—
1622C22⋊C4—24no—
1623C22⋊C4C22×D414yes—
1624C22⋊C4C22×D414yes—
1625C22⋊C4C22×D414yes—
1626C22⋊C4C22×D414yes—
1627C22⋊C4C22×D414yes—
1628C22⋊C4C22×D414yes—
1629C22⋊C4C22×D414yes—
1630C22⋊C4C22×D414yes—
1631C22⋊C4C22×D414yes—
1632C22⋊C4C22×D414yes—
1633C42—22no—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—28no—
1641C42—24no—
1642C42—24no—
1643C42—22no—
1644C42—28no—
1645C42—22no—
1646C42—28no—
1647C42—24no—
1648C42—24no—
1649C42C22×D411yescharacteristic
1650C42C22×D411yescharacteristic
1651C42C22×D411yescharacteristic
1652C42C22×D411yescharacteristic
1653C42C22×D411yescharacteristic
1654C42C22×D411yescharacteristic
1655C42C22×D411yescharacteristic
1656C42C22×D411yescharacteristic
1657C42C22×D411yescharacteristic
1658C42C22×D411yescharacteristic
1659C42C22×D411yescharacteristic
1660C42C22×D411yescharacteristic
1661C42C22×D414yes—
1662C42C2511yescharacteristic
1663C42C2511yescharacteristic
1664C42C2511yescharacteristic
1665C42C2514yes—
1666C42C2511yescharacteristic
1667C23—22no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—42no—
1674C23—41no—
1675C23—41no—
1676C23—42no—
1677C23—42no—
1678C23—42no—
1679C23—44no—
1680C23—42no—
1681C23—82no—
1682C23—82no—
1683C23—84no—
1684C23—84no—
1685C23—84no—
1686C23C23×D411yescharacteristic
1687C23C23×D411yescharacteristic
1688C23C23×D414yes—
1689C23C23×D411yescharacteristic
1690Q8—24no—
1691Q8—22no—
1692Q8—24no—
1693Q8—24no—
1694Q8—28no—
1695Q8—24no—
1696Q8—416no—
1697Q8—44no—
1698Q8—42no—
1699Q8—42no—
1700Q8—42no—
1701Q8—82no—
1702Q8—82no—
1703Q8—88no—
1704Q8—84no—
1705Q8—82no—
1706Q8—81no—
1707Q8#58514yes—
1708D4—22no—
1709D4—22no—
1710D4—24no—
1711D4—24no—
1712D4—24no—
1713D4—24no—
1714D4—24no—
1715D4—44no—
1716D4—44no—
1717D4—44no—
1718D4—44no—
1719D4—42no—
1720D4—44no—
1721D4—44no—
1722D4—44no—
1723D4—44no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—82no—
1728D4—84no—
1729D4—82no—
1730D4—81no—
1731D4—81no—
1732D4—84no—
1733D4—82no—
1734D4—81no—
1735D4—84no—
1736D4—88no—
1737D4—84no—
1738D4—84no—
1739D4—84no—
1740D4—82no—
1741D4—82no—
1742D4—84no—
1743D4—82no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—28no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—41no—
1766C2×C4—44no—
1767C2×C4—42no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—42no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—416no—
1780C2×C4—44no—
1781C2×C4—42no—
1782C2×C4—44no—
1783C2×C4—42no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—44no—
1789C2×C4—82no—
1790C2×C4—82no—
1791C2×C4—82no—
1792C2×C4—82no—
1793C2×C4—84no—
1794C2×C4—84no—
1795C2×C4—84no—
1796C2×C4—82no—
1797C2×C4—84no—
1798C2×C4—82no—
1799C2×C4—82no—
1800C2×C4—84no—
1801C2×C4#57714yes—
1802C2×C4C23×D411yescharacteristic
1803C2×C4C23×D411yescharacteristic
1804C2×C4C23×D411yescharacteristic
1805C2×C4C23×D411yescharacteristic
1806C2×C4C23×D414yes—
1807C2×C4C23×D414yes—
1808C2×C4C23×D411yescharacteristic
1809C2×C4C23×D411yescharacteristic
1810C2×C4C23×D414yes—
1811C2×C4C23×D411yescharacteristic
1812C2×C4C23×D411yescharacteristic
1813C2×C4C23×D411yescharacteristic
1814C2×C4C23×D411yescharacteristic
1815C2×C4C23×D411yescharacteristic
1816C2×C4C2611yescharacteristic
1817C8—24no—
1818C8—24no—
1819C8—24no—
1820C8—24no—
1821C22—21no—
1822C22—21no—
1823C22—24no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—24no—
1829C22—21no—
1830C22—21no—
1831C22—24no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—82no—
1845C22—84no—
1846C22—84no—
1847C22—164no—
1848C22—324no—
1849C22C2×#57712yes—
1850C22C24×D411yescharacteristic
1851C4—24no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—24no—
1856C4—21no—
1857C4—21no—
1858C4—24no—
1859C4—21no—
1860C4—21no—
1861C4—21no—
1862C4—21no—
1863C4—24no—
1864C4—44no—
1865C4—42no—
1866C4—42no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—44no—
1872C4—42no—
1873C4C2×#57712yes—
1874C4C2×#57712yes—
1875C4C2×#58512yes—
1876C2—22no—
1877C2—41no—
1878C2—41no—
1879C2—44no—
1880C2—82no—
1881C2—82no—
1882C2—82no—
1883C2—82no—
1884C2#6281111yescharacteristic
1885C2C22×#57711yescharacteristic
1886C2#6309011yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#529 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62830C2semidirect
2. C2×#3518C2semidirect
3. #62219C2semidirect
4. #62184C2semidirect
5. #62071C2semidirect
6. #62035C2semidirect
7. #61888C2semidirect
8. #61882C2semidirect
9. #61830C2semidirect
10. #61820C2semidirect
11. #61739C2semidirect
12. #61720C2semidirect
13. #61700C2semidirect
14. #61594C2semidirect
15. #61584C2semidirect
16. #61562C2semidirect
17. #61557C2semidirect
18. #61543C2semidirect
19. #61495C2semidirect
20. #61474C2semidirect
21. #60980C2semidirect
22. #60966C2semidirect
23. #60941C2semidirect
24. #60582C2semidirect
25. #60561C2semidirect
26. #60536C2semidirect
27. #60290C2semidirect
30. #3552C22semidirect
32. #3547C22semidirect
33. #3546C22semidirect
34. #3543C22semidirect
36. #3520C22semidirect
38. #3519C22semidirect
43. #3518C22semidirect
44. #3518C22semidirect
45. #3518C22semidirect
46. #3518C22semidirect
47. #3517C22semidirect
49. #3514C22semidirect
60. C2×Q82C22semidirect
63. C2×#556C22semidirect
64. C2×#556C22semidirect
66. C2×#555C22semidirect
67. C2×D4×Q8C22semidirect
68. C2×#548C22semidirect
70. C2×#542C22semidirect
73. C2×#533C22semidirect
77. C2×#519C22semidirect
78. C2×C4×#41C22semidirect
79. #3397C22semidirect
80. #3397C22semidirect
81. #3394C22semidirect
82. #3393C22semidirect
83. #3387C22semidirect
84. #3385C22semidirect
85. Q8×SD16C22semidirect
86. Q8×SD16C22semidirect
87. #3375C22semidirect
88. #3369C22semidirect
89. #3367C22semidirect
90. #3367C22semidirect
91. #3364C22semidirect
92. #3362C22semidirect
93. #3362C22semidirect
94. #3360C22semidirect
95. #3356C22semidirect
96. #3354C22semidirect
97. #3354C22semidirect
98. #3350C22semidirect
99. #3350C22semidirect
100. #3341C22semidirect
101. #3340C22semidirect
102. #3340C22semidirect
103. #3329C22semidirect
104. #3328C22semidirect
105. #3326C22semidirect
106. #3325C22semidirect
107. #3325C22semidirect
108. #3324C22semidirect
109. #3321C22semidirect
110. #3316C22semidirect
111. #3311C22semidirect
112. #3311C22semidirect
113. #3305C22semidirect
114. #3304C22semidirect
115. #3303C22semidirect
116. #3301C22semidirect
117. #3298C22semidirect
118. #3298C22semidirect
119. #3282C22semidirect
120. D4×SD16C22semidirect
121. D4×SD16C22semidirect
122. #3278C22semidirect
123. #3276C22semidirect
124. #3275C22semidirect
125. #3271C22semidirect
126. #3265C22semidirect
127. #3263C22semidirect
128. #3257C22semidirect
129. #3252C22semidirect
130. #3246C22semidirect
131. #3244C22semidirect
132. #3239C22semidirect
133. #3231C22semidirect
134. #3230C22semidirect
135. #3229C22semidirect
137. #3227C22semidirect
138. #3227C22semidirect
139. #3227C22semidirect
140. #3224C22semidirect
141. #3213C22semidirect
142. #3211C22semidirect
143. #3210C22semidirect
144. #3209C22semidirect
145. #3208C22semidirect
147. #3206C22semidirect
148. #3206C22semidirect
149. #3196C22semidirect
150. #3196C22semidirect
151. #3192C22semidirect
152. #3188C22semidirect
153. #3187C22semidirect
154. #3187C22semidirect
155. #3185C22semidirect
156. #3182C22semidirect
157. #3179C22semidirect
158. #3173C22semidirect
159. #3167C22semidirect
160. #3167C22semidirect
161. #3126C22semidirect
162. #3126C22semidirect
163. #3125C22semidirect
164. #3121C22semidirect
165. #3121C22semidirect
166. #3118C22semidirect
167. #3117C22semidirect
168. #3117C22semidirect
169. #3116C22semidirect
170. #3115C22semidirect
171. #3115C22semidirect
172. #3112C22semidirect
173. #3112C22semidirect
174. #3109C22semidirect
175. #3108C22semidirect
176. #3108C22semidirect
177. #3107C22semidirect
178. #3106C22semidirect
179. #3106C22semidirect
180. #3105C22semidirect
181. #3104C22semidirect
183. #3103C22semidirect
184. #3103C22semidirect
185. #3103C22semidirect
186. #3103C22semidirect
187. #3102C22semidirect
188. #3101C22semidirect
189. #3101C22semidirect
191. #3100C22semidirect
192. #3100C22semidirect
193. #3094C22semidirect
194. #3094C22semidirect
195. #3091C22semidirect
196. #3091C22semidirect
197. #3082C22semidirect
198. #3079C22semidirect
199. #3076C22semidirect
200. #3043C22semidirect
201. #3038C22semidirect
202. #3035C22semidirect
203. #3006C22semidirect
204. #3004C22semidirect
205. #3002C22semidirect
206. C2×#448C22semidirect
207. #2994C22semidirect
208. #2993C22semidirect
209. #2983C22semidirect
210. #2982C22semidirect
211. #2975C22semidirect
212. #2974C22semidirect
213. #2972C22semidirect
214. #2969C22semidirect
215. #2966C22semidirect
216. #2949C22semidirect
217. #2947C22semidirect
218. C4×AGL(1,ℤ/8)C22semidirect
219. C4×#135C22semidirect
220. #2924C22semidirect
221. #2920C22semidirect
222. C2×#431C22semidirect

Maximal subgroups

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

subgroupindex
#628302
C2×#35182
#622192
#621842
#620712
#620352
#618882
#618822
#618302
#618202
#617392
#617202
#617002
#615942
#615842
#615622
#615572
#615432
#614952
#614742
#609802
#609662
#609412
#605822
#605612
#605362
#602902