Finite Group Databasebeta

← #10581855

Subgroups — #10581855

Order 512.

6491 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62830C211yesmaximal, characteristic, complemented
2C2×#3546C211yesmaximal, characteristic, complemented
3#62618C214yesmaximal, complemented
4#62561C214yesmaximal, complemented
5#62463C214yesmaximal, complemented
6#62440C214yesmaximal, complemented
7#62074C214yesmaximal, complemented
8#62067C214yesmaximal, complemented
9#62041C214yesmaximal, complemented
10#62040C214yesmaximal, complemented
11#61890C211yesmaximal, characteristic, complemented
12#61888C211yesmaximal, characteristic, complemented
13#61882C211yesmaximal, characteristic, complemented
14#61880C211yesmaximal, characteristic, complemented
15#61605C214yesmaximal, complemented
16#61592C214yesmaximal, complemented
17#61585C211yesmaximal, characteristic, complemented
18#61582C211yesmaximal, characteristic, complemented
19#61565C211yesmaximal, characteristic, complemented
20#61559C211yesmaximal, characteristic, complemented
21#60976C214yesmaximal, complemented
22#60951C211yesmaximal, characteristic, complemented
23#60940C211yesmaximal, characteristic, complemented
24#60811C214yesmaximal, complemented
25#60803C211yesmaximal, characteristic, complemented
26#60782C211yesmaximal, characteristic, complemented
27#60290C211yesmaximal, characteristic, complemented
28#3562—22no—
29#3560—22no—
30#3552C2212yescomplemented
31#3551—22no—
32#3547C2212yescomplemented
33#3546—22no—
34#3546—22no—
35#3546—22no—
36#3546—22no—
37#3546C2214yescomplemented
38#3546C2214yescomplemented
39#3546C2214yescomplemented
40#3546C2214yescomplemented
41#3546C2212yescomplemented
42#3543C2212yescomplemented
43#3534—22no—
44C2×#560—22no—
45#3520C2212yescomplemented
46#3519C2214yescomplemented
47#3519C2212yescomplemented
48#3517C2212yescomplemented
49#3514—22no—
50#3514C2212yescomplemented
51#3512—21no—
52#3507C2211yescharacteristic, complemented
53#3506C2211yescharacteristic
54#3505—22no—
55#3500—21no—
56#3497C2211yescharacteristic, complemented
57#3496C2211yescharacteristic
58#3494C2214yescomplemented
59#3489—21no—
60#3488—21no—
61C2×#556C2211yescharacteristic, complemented
62C2×#553—21no—
63C2×#550C2212yescomplemented
64C2×#550C2211yescharacteristic, complemented
65C2×#547C2211yescharacteristic, complemented
66C2×#546—21no—
67C2×#546C2212yescomplemented
68C2×D42C2211yescharacteristic, complemented
69C2×#542C2212yescomplemented
70C2×#538—22no—
71C2×#537—21no—
72C2×#535—21no—
73C2×#535C2212yescomplemented
74#3444C2211yescharacteristic, complemented
75C2×#532C2211yescharacteristic, complemented
76C2×#532C2211yescharacteristic, complemented
77C2×#532C2211yescharacteristic, complemented
78C2×#529C2211yescharacteristic
79#3399C2214yescomplemented
80#3397C2214yescomplemented
81#3397C2214yescomplemented
82#3397C2214yescomplemented
83#3394C2214yescomplemented
84#3393C2214yescomplemented
85#3391C2214yescomplemented
86#3391C2214yescomplemented
87#3368C2214yescomplemented
88#3367C2214yescomplemented
89#3367C2214yescomplemented
90#3366C2214yescomplemented
91#3364C2214yescomplemented
92#3360C2214yescomplemented
93#3358C2214yescomplemented
94#3358C2214yescomplemented
95#3333C2218yescomplemented
96#3330C2214yescomplemented
97#3330C2214yescomplemented
98#3325C2214yescomplemented
99#3324C2214yescomplemented
100#3322C2218yescomplemented
101#3319C2218yescomplemented
102#3314C2218yescomplemented
103#3309C2218yescomplemented
104#3309C2218yescomplemented
105#3305C2218yescomplemented
106#3303C2214yescomplemented
107#3302C2214yescomplemented
108#3297C2218yescomplemented
109#3294C2214yescomplemented
110#3294C2214yescomplemented
111#3287C2218yescomplemented
112#3284C2214yescomplemented
113#3283C2214yescomplemented
114#3280C2218yescomplemented
115D4×D8C2214yescomplemented
116D4×D8C2214yescomplemented
117#3274C2214yescomplemented
118#3274C2218yescomplemented
119#3273C2218yescomplemented
120#3272C2214yescomplemented
121#3272C2214yescomplemented
122#3272C2214yescomplemented
123#3268C2218yescomplemented
124#3268C2218yescomplemented
125#3268C2218yescomplemented
126#3264C2218yescomplemented
127#3262C2218yescomplemented
128#3257C2218yescomplemented
129#3254C2212yescomplemented
130#3253C2212yescomplemented
131#3245C2212yescomplemented
132#3245C2212yescomplemented
133#3243C2218yescomplemented
134#3238C2212yescomplemented
135#3235C2212yescomplemented
136#3226C2212yescomplemented
137#3226C2212yescomplemented
138#3224C2218yescomplemented
139#3224C2218yescomplemented
140#3224C2218yescomplemented
141#3220C2218yescomplemented
142#3220C2218yescomplemented
143#3217C2212yescomplemented
144#3217C2214yescomplemented
145#3214C2212yescomplemented
146#3214C2214yescomplemented
147#3213C2214yescomplemented
148#3213C2214yescomplemented
149#3212C2214yescomplemented
150#3211C2214yescomplemented
151#3211C2214yescomplemented
152#3210C2212yescomplemented
153#3209C2211yescharacteristic, complemented
154#3208C2211yescharacteristic, complemented
155#3207C2212yescomplemented
156#3207C2212yescomplemented
157#3207C2212yescomplemented
158#3206C2211yescharacteristic, complemented
159#3206C2211yescharacteristic, complemented
160#3206C2211yescharacteristic, complemented
161#3205C2211yescharacteristic
162#3205C2212yescomplemented
163#3205C2211yescharacteristic, complemented
164#3205C2211yescharacteristic, complemented
165#3205C2214yescomplemented
166#3205C2212yescomplemented
167#3194C2212yescomplemented
168#3194C2214yescomplemented
169#3194C2212yescomplemented
170#3193C2214yescomplemented
171#3190C2214yescomplemented
172#3186C2212yescomplemented
173#3186C2214yescomplemented
174#3186C2212yescomplemented
175#3179C2218yescomplemented
176#3175C2218yescomplemented
177#3171C2214yescomplemented
178#3169C2214yescomplemented
179#3155C2218yescomplemented
180#3151C2212yescomplemented
181#3147C2212yescomplemented
182#3141C2212yescomplemented
183#3136C2218yescomplemented
184#3131C2212yescomplemented
185#3124C2218yescomplemented
186#3118C2218yescomplemented
187#3114C2214yescomplemented
188#3112C2214yescomplemented
189#3108C2214yescomplemented
190#3106C2214yescomplemented
191#3101C2211yescharacteristic, complemented
192#3101C2211yescharacteristic, complemented
193#3100C2211yescharacteristic
194#3100C2211yescharacteristic, complemented
195#3100C2211yescharacteristic, complemented
196#3100C2211yescharacteristic, complemented
197#3100C2211yescharacteristic, complemented
198#3100C2211yescharacteristic, complemented
199#3100C2214yescomplemented
200#3100C2214yescomplemented
201#3045C2218yescomplemented
202#3041C2218yescomplemented
203#3036C2214yescomplemented
204#3035C2214yescomplemented
205#3006C2214yescomplemented
206#3006C2214yescomplemented
207#3003C2214yescomplemented
208#3002C2214yescomplemented
209#3002C2214yescomplemented
210C2×#447C2214yescomplemented
211#2994C2214yescomplemented
212#2993C2214yescomplemented
213#2983C2211yescharacteristic, complemented
214#2982C2211yescharacteristic, complemented
215#2975C2211yescharacteristic, complemented
216#2974C2214yescomplemented
217#2972C2211yescharacteristic, complemented
218#2969C2214yescomplemented
219#2966C2214yescomplemented
220#2924C2214yescomplemented
221#2920C2211yescharacteristic, complemented
222C2×#431C2211yescharacteristic, complemented
223C2×2−1+4—21no—
224C2×H(5,𝔽2)—21no—
225C22×#41—21no—
226C22×#41—21no—
227C22×#41—21no—
228C22×#41C2312yes—
229C22×#41C2312yes—
230C23×D4—21no—
231C23×D4C2312yes—
232C2×AGL(1,ℤ/8)C2318yes—
233C2×AGL(1,ℤ/8)C2318yescomplemented
234C2×AGL(1,ℤ/8)C2318yescomplemented
235C2×#135C2318yescomplemented
236C2×#135C2318yescomplemented
237C22×D8C2318yes—
238#563—24no—
239#562—24no—
240#560—24no—
241#560—28no—
242#560—28no—
243#560—28no—
244#560—28no—
245#560—24no—
246#559—22no—
247#559C2312yescomplemented
248#557C2312yescomplemented
249#556—22no—
250#556—22no—
251#556—22no—
252#556C2314yes—
253#556C2314yes—
254#556C2312yes—
255#556C2312yescomplemented
256#555—24no—
257#555C2312yes—
258#555C2314yescomplemented
259#554C2312yescomplemented
260#554C2314yescomplemented
261#553—24no—
262#553—24no—
263#553—24no—
264#553—24no—
265#553—24no—
266#553—22no—
267#553—22no—
268#553—22no—
269#553—24no—
270#553—24no—
271#553—24no—
272#553C2314yescomplemented
273#553C2314yescomplemented
274#552—22no—
275#552—22no—
276#552—22no—
277#551—24no—
278#551—24no—
279#551—24no—
280#551—24no—
281#550—22no—
282#550—22no—
283#550—22no—
284#550—24no—
285#550—24no—
286#550C2318yes—
287#550C2318yes—
288#550C2312yes—
289#550C2314yes—
290#550C2314yes—
291#550C2314yescomplemented
292#550C2312yescomplemented
293#550C2312yescomplemented
294D4×Q8—22no—
295D4×Q8C2312yescomplemented
296D4×Q8C2312yescomplemented
297#548—22no—
298#548—22no—
299#548—22no—
300#548—22no—
301#548—22no—
302#548—22no—
303#547—22no—
304#547—22no—
305#547—22no—
306#547—24no—
307#547C2314yes—
308#547C2314yes—
309#547C2312yes—
310#547C2312yes—
311#547C2312yes—
312#546—24no—
313#546—24no—
314#546—24no—
315#546—24no—
316#546—22no—
317#546—22no—
318#546—24no—
319#546—22no—
320#546—22no—
321#546—24no—
322#546—24no—
323#546—22no—
324#546—22no—
325#546—24no—
326#546—24no—
327#546—24no—
328#546—24no—
329#546C2318yes—
330#546C2318yes—
331#546C2314yescomplemented
332#546C2314yescomplemented
333D42—24no—
334D42—22no—
335D42—22no—
336D42—22no—
337D42C2314yes—
338D42C2314yes—
339D42C2312yes—
340D42C2312yes—
341D42C2314yescomplemented
342#544C2314yescomplemented
343#542—24no—
344#542—24no—
345#542—24no—
346#542C2318yes—
347#542C2318yes—
348#542C2314yescomplemented
349#542C2314yescomplemented
350#541—22no—
351#540—22no—
352#540—24no—
353#540—24no—
354#540C2314yescomplemented
355#540C2314yescomplemented
356#539—24no—
357#539—24no—
358#539—22no—
359#538—28no—
360#538—28no—
361#538—28no—
362#538—28no—
363#538—24no—
364#538—24no—
365#538—24no—
366#538—24no—
367#538—24no—
368#538—22no—
369#537—24no—
370#537—24no—
371#537—24no—
372#537—24no—
373#537—22no—
374#537—22no—
375#537—21no—
376#537—21no—
377#537—22no—
378#536—21no—
379#536—22no—
380#536—22no—
381#535—21no—
382#535—22no—
383#535—24no—
384#535—24no—
385#535—24no—
386#535—24no—
387#535—22no—
388#535—24no—
389#535—24no—
390#535C2318yes—
391#535C2318yes—
392#535C2314yescomplemented
393#534—24no—
394#534—22no—
395#533C2311yescharacteristic
396#533C2311yescharacteristic, complemented
397#533C2311yescharacteristic, complemented
398#532—22no—
399#532—21no—
400#532—21no—
401#532—21no—
402#532—21no—
403#532—21no—
404#532—21no—
405#532—21no—
406#532—21no—
407#532—21no—
408#532—21no—
409#532—21no—
410#532—21no—
411#532C2312yes—
412#532C2312yes—
413#532C2312yes—
414#532C2312yes—
415#532C2311yescharacteristic
416#532C2311yescharacteristic
417#532C2312yes—
418#532C2311yescharacteristic
419#532C2314yes—
420#532C2312yes—
421#532C2312yes—
422#532C2312yes—
423#532C2312yes—
424#532C2311yescharacteristic, complemented
425#532C2312yescomplemented
426#532C2311yescharacteristic, complemented
427#532C2311yescharacteristic, complemented
428#532C2311yescharacteristic, complemented
429C2×C4⋊Q8C2311yescharacteristic
430C2×C4⋊Q8C2311yescharacteristic
431C2×C4⋊Q8C2311yescharacteristic, complemented
432C2×#127—22no—
433C2×#127C2311yescharacteristic
434C2×#127C2311yescharacteristic
435C2×#127C2312yes—
436C2×#127C2311yescharacteristic, complemented
437#529—22no—
438#529—22no—
439#529—21no—
440#529—21no—
441#529—21no—
442#529—21no—
443#529D412yes—
444#529D412yes—
445#529D412yes—
446#529D412yes—
447#529C2314yes—
448#529C2312yes—
449#529C2312yes—
450#529C2312yes—
451#529C2312yes—
452#529C2312yes—
453#529C2312yescomplemented
454C2×#126—22no—
455C2×#126—22no—
456C2×#126D412yes—
457C2×#125D411yescharacteristic
458C2×#124—22no—
459C2×#124—22no—
460C2×#124—21no—
461C2×#124—21no—
462C2×#124D411yescharacteristic
463C2×#124C2312yes—
464C2×#124C2312yes—
465#525—21no—
466#525—21no—
467#525—22no—
468#525—22no—
469#525C2312yes—
470#525C2314yes—
471C2×#123—22no—
472C2×#123—22no—
473C2×#123—22no—
474C2×#123D412yes—
475C2×C22⋊Q8—21no—
476C2×C22⋊Q8—22no—
477C2×C22⋊Q8—22no—
478C2×C22⋊Q8D411yescharacteristic
479C2×C22⋊Q8C2312yes—
480C2×#121—21no—
481C2×#121—21no—
482C2×#121—21no—
483C2×#121—21no—
484C2×#121—21no—
485C2×#121—22no—
486C2×#121—21no—
487C2×#121—22no—
488C2×#121—22no—
489C2×#121—21no—
490C2×#121—22no—
491C2×#121—22no—
492C2×#121—22no—
493C2×#121—22no—
494C2×#121D411yescharacteristic
495C2×#121C2311yescharacteristic
496C2×#121C2311yescharacteristic
497C2×#121C2312yes—
498C2×#121C2312yes—
499C2×#121C2314yes—
500C2×#120—22no—
501C2×#120—22no—
502C2×#120—22no—
503C2×#120—22no—
504#520—21no—
505#520—21no—
506#520C2314yescomplemented
507#518—24no—
508#518C2314yescomplemented
509C4×#41—21no—
510C4×#41—21no—
511C4×#41C2312yescomplemented
512C2×C4×Q8C2312yes—
513C2×C4×Q8C2311yescharacteristic
514C2×C4×D4—22no—
515C2×C4×D4—21no—
516C2×C4×D4—21no—
517C2×C4×D4—21no—
518C2×C4×D4—21no—
519C2×C4×D4C2311yescharacteristic
520C2×C4×D4C2311yescharacteristic
521C2×C4×D4C2312yes—
522C2×C4×D4C2311yescharacteristic
523C2×C4×D4C2312yes—
524C2×C4×D4C2312yescomplemented
525C2×#117—21no—
526C2×#117C2312yes—
527C22×C4⋊C4—21no—
528C22×C22⋊C4—22no—
529C22×C42C2311yescharacteristic
530#501C2314yescomplemented
531#500C2314yescomplemented
532#496C2318yes—
533#496C2314yes—
534#496C2318yescomplemented
535#496C2318yescomplemented
536#495C2318yes—
537#495C2318yescomplemented
538#494C2312yescomplemented
539#493C2312yes—
540#493C2312yes—
541#493C2312yes—
542#493C2314yes—
543#493C2318yescomplemented
544#492C2312yes—
545#492C2312yescomplemented
546#492C2312yescomplemented
547#492C2312yescomplemented
548#490C2314yes—
549#490C2318yescomplemented
550#489C2318yes—
551#489C2318yescomplemented
552#489C2314yescomplemented
553#488C2318yes—
554#488C2318yescomplemented
555#487C2312yescomplemented
556#487C2312yescomplemented
557#487C2312yescomplemented
558#487C2312yescomplemented
559#486C2312yes—
560#486C2312yes—
561#486C2312yes—
562#486C2312yes—
563#486C2314yes—
564#486C2318yescomplemented
565#486C2314yescomplemented
566#485C2318yescomplemented
567#484C2318yescomplemented
568#483C2312yes—
569#483C2312yes—
570#482C2314yes—
571#482C2318yes—
572#482C2314yescomplemented
573#480C2318yes—
574#480C2312yes—
575#480C2312yes—
576#480C2312yes—
577#480C2312yes—
578#480C2312yes—
579#480C2312yes—
580#480C2314yes—
581#480C2314yescomplemented
582#479C2318yescomplemented
583#478C2318yescomplemented
584#477C2318yescomplemented
585#477C2314yescomplemented
586#476C2312yes—
587#476C2312yescomplemented
588#476C2314yescomplemented
589#474C2312yes—
590#474C2312yes—
591#474C2312yes—
592#474C2312yescomplemented
593#474C2312yescomplemented
594#474C2312yescomplemented
595#474C2318yescomplemented
596#474C2314yescomplemented
597#474C2314yescomplemented
598#469C2314yes—
599#469C2318yes—
600#469C2314yescomplemented
601#468C2318yes—
602#468C2314yes—
603#468C2318yescomplemented
604#468C2318yescomplemented
605#468C2314yescomplemented
606#467C2318yescomplemented
607#466C2314yes—
608#466C2314yes—
609#466C2318yes—
610#466C2318yes—
611#466C2314yescomplemented
612#466C2314yescomplemented
613#465C2318yescomplemented
614#464C2318yes—
615#464C2318yescomplemented
616#464C2318yescomplemented
617#463C2318yes—
618#463C2318yes—
619#463C2318yes—
620#463C2318yescomplemented
621#463C2318yescomplemented
622#463C2318yescomplemented
623#463C2318yescomplemented
624#462C2314yescomplemented
625#461C2312yes—
626#461C2314yescomplemented
627#461C2314yescomplemented
628#461C2312yescomplemented
629#461C2314yescomplemented
630#460C2314yes—
631#460C2314yes—
632#460C2318yescomplemented
633#460C2318yescomplemented
634#459C2312yes—
635#459C2312yes—
636#459C2312yes—
637#459C2314yes—
638#459C2314yes—
639#459C2314yes—
640#459C2314yes—
641#459C2314yes—
642#459C2314yes—
643#459C2312yescomplemented
644#459C2312yescomplemented
645#459C2318yescomplemented
646#459C2312yescomplemented
647#459C2318yescomplemented
648#459C2318yescomplemented
649#459C2318yescomplemented
650#452C2318yescomplemented
651#452C2318yescomplemented
652#452C2318yescomplemented
653#451C2314yes—
654#450C2312yes—
655#450C2312yes—
656#450C2314yes—
657#450C2318yes—
658#450C2318yescomplemented
659#449C2314yes—
660#449C2318yes—
661#449C2318yescomplemented
662#449C2318yescomplemented
663#449C2314yescomplemented
664#449C2318yescomplemented
665#449C2318yescomplemented
666#449C2318yescomplemented
667#449C2318yescomplemented
668#448C2314yes—
669#448C2314yes—
670#448C2314yes—
671#447C2312yes—
672#447C2312yes—
673#447C2314yes—
674#447C2312yes—
675#447C2312yes—
676#447C2314yes—
677#447C2314yes—
678#447C2312yes—
679#447C2312yes—
680#447C2314yes—
681#447C2318yes—
682#447C2318yes—
683#447C2318yes—
684#447C2318yes—
685#447C2314yescomplemented
686#446C2314yescomplemented
687#446C2314yescomplemented
688C8×Q8C2314yescomplemented
689C8×Q8C2314yescomplemented
690#442C2318yescomplemented
691#440C2318yescomplemented
692#440C2318yescomplemented
693#440C2318yescomplemented
694C4×Q16C2318yescomplemented
695C4×SD16C2314yes—
696C4×SD16C2314yescomplemented
697C4×SD16C2318yescomplemented
698C4×D8C2314yes—
699C4×D8C2314yes—
700C4×D8C2314yes—
701C4×D8C2314yescomplemented
702C4×D8C2314yescomplemented
703C4×D8C2314yescomplemented
704C4×D8C2318yescomplemented
705C4×D8C2318yescomplemented
706#436C2314yes—
707#436C2314yes—
708#436C2318yescomplemented
709#435C2318yescomplemented
710#435C2318yescomplemented
711C8×D4C2314yes—
712C8×D4C2314yes—
713C8×D4C2318yescomplemented
714#433C2318yescomplemented
715#433C2318yescomplemented
716#432C2314yes—
717#432C2312yes—
718#432C2312yescomplemented
719#431C2311yescharacteristic
720#431C2311yescharacteristic
721#431C2311yescharacteristic
722#431C2311yescharacteristic
723#431C2314yes—
724#431C2312yes—
725#431C2312yescomplemented
726#431C2312yescomplemented
727#431C2312yescomplemented
728#424C2318yescomplemented
729#423C2312yescomplemented
730C2×C4⋊C8C2312yescomplemented
731#418C2318yes—
732#417C2318yescomplemented
733#417C2318yescomplemented
734#416C2318yescomplemented
735#416C2318yescomplemented
736C2×#102C2318yes—
737#407C2312yes—
738#407C2314yes—
739C2×C22⋊C8C2312yes—
740C2×C22⋊C8C2314yes—
741#405C2318yescomplemented
742C4×M16C2312yescomplemented
743C2×C4×C8C2312yescomplemented
744C25—22no—
7452−1+4—84no—
746H(5,𝔽2)—84no—
747C2×#41—22no—
748C2×#41—22no—
749C2×#41—24no—
750C2×#41—24no—
751C2×#41—22no—
752C2×#41—22no—
753C2×#41—21no—
754C2×#41—21no—
755C2×#41—21no—
756C2×#41—21no—
757C2×#41—22no—
758C2×#41—22no—
759C2×#41—22no—
760C2×#41—22no—
761C2×#41—22no—
762C2×#41—22no—
763C2×#41—22no—
764C2×#41—22no—
765C2×#41—21no—
766C2×#41—21no—
767C2×#41—24no—
768C2×#41—24no—
769C2×#41—84no—
770C2×#41—84no—
771C2×#41—84no—
772C2×#41—84no—
773C2×#41—84no—
774C2×#41C2412yes—
775C2×#41C2414yes—
776C2×#41C2414yes—
777C2×#41C2414yes—
778C2×#41C2418yes—
779C22×Q8—22no—
780C22×Q8—22no—
781C22×Q8—21no—
782C22×Q8—21no—
783C22×Q8C2×D411yescharacteristic
784C22×Q8C2412yes—
785C22×D4—21no—
786C22×D4—22no—
787C22×D4—22no—
788C22×D4—22no—
789C22×D4—21no—
790C22×D4—22no—
791C22×D4—24no—
792C22×D4—24no—
793C22×D4—22no—
794C22×D4—22no—
795C22×D4—24no—
796C22×D4—24no—
797C22×D4—21no—
798C22×D4—21no—
799C22×D4—21no—
800C22×D4—22no—
801C22×D4—21no—
802C22×D4—21no—
803C22×D4—22no—
804C22×D4—22no—
805C22×D4—21no—
806C22×D4—24no—
807C22×D4—84no—
808C22×D4—84no—
809C22×D4C2×D411yescharacteristic
810C22×D4C2×D412yes—
811C22×D4C2411yescharacteristic
812C22×D4C2412yes—
813C22×D4C2411yescharacteristic
814C22×D4C2412yes—
815C22×D4C2414yes—
816C22×D4C2418yes—
817C23×C4—21no—
818C23×C4—21no—
819C23×C4—22no—
820C23×C4—22no—
821C23×C4—22no—
822C23×C4—22no—
823C23×C4C2×D411yescharacteristic
824C23×C4C2×D411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827AGL(1,ℤ/8)—88no—
828AGL(1,ℤ/8)—88no—
829AGL(1,ℤ/8)—88no—
830#135—88no—
831#135—88no—
832C2×Q16C2418yes—
833C2×SD16C2414yes—
834C2×SD16C2418yes—
835C2×SD16C2418yes—
836C2×SD16C2418yes—
837C2×SD16C2414yes—
838C2×SD16C2418yes—
839C2×D8—88no—
840C2×D8C2414yes—
841C2×D8C2414yes—
842C2×D8C2418yes—
843C2×D8C2418yes—
844C2×D8C2414yes—
845C2×D8C2414yes—
846C2×D8C2418yes—
847C2×D8C2414yes—
848C2×D8C2414yes—
849C2×M16C2418yes—
850C2×M16C2414yes—
851C22×C8C2418yes—
852C22×C8C2414yes—
853C4⋊Q8—22no—
854C4⋊Q8—24no—
855C4⋊Q8—21no—
856C4⋊Q8—21no—
857C4⋊Q8—21no—
858C4⋊Q8—21no—
859C4⋊Q8—21no—
860C4⋊Q8—21no—
861C4⋊Q8C2412yes—
862C4⋊Q8C2412yes—
863C4⋊Q8C2411yescharacteristic
864C4⋊Q8C2412yes—
865C4⋊Q8C2412yes—
866C4⋊Q8C2412yes—
867C4⋊Q8C2411yescharacteristic
868C4⋊Q8C2411yescharacteristic
869C4⋊Q8C2411yescharacteristic
870C4⋊Q8C2414yes—
871C4⋊Q8C2411yescharacteristic
872#127—28no—
873#127—28no—
874#127—22no—
875#127—24no—
876#127—21no—
877#127—21no—
878#127—21no—
879#127—21no—
880#127—24no—
881#127—21no—
882#127—21no—
883#127C2412yes—
884#127C2412yes—
885#127C2412yes—
886#127C2412yes—
887#127C2418yes—
888#127C2412yes—
889#127C2411yescharacteristic
890#127C2411yescharacteristic
891#127C2411yescharacteristic
892#127C2414yes—
893#126—28no—
894#126—28no—
895#126—28no—
896#126—28no—
897#126—24no—
898#126—24no—
899#126—24no—
900#126—24no—
901#126—24no—
902#126—24no—
903#126—22no—
904#126—22no—
905#126—24no—
906#126C2×D414yes—
907#126C2×D414yes—
908#126C2×D414yes—
909#126C2×D414yes—
910#125—24no—
911#125—24no—
912#125—24no—
913#125—21no—
914#125—21no—
915#125C2×D412yes—
916#125C2×D412yes—
917#125C2×D412yes—
918#125C2×D412yes—
919#125C2412yes—
920#125C2414yes—
921#124—22no—
922#124—22no—
923#124—28no—
924#124—28no—
925#124—24no—
926#124—24no—
927#124—24no—
928#124—24no—
929#124—24no—
930#124—21no—
931#124—21no—
932#124—22no—
933#124—22no—
934#124—22no—
935#124—22no—
936#124—21no—
937#124—21no—
938#124—22no—
939#124—22no—
940#124—22no—
941#124—22no—
942#124—24no—
943#124—21no—
944#124—21no—
945#124—24no—
946#124C2×D412yes—
947#124C2×D412yes—
948#124C2×D412yes—
949#124C2×D412yes—
950#124C2414yes—
951#124C2414yes—
952#124C2418yes—
953#124C2412yes—
954#124C2414yes—
955#123—22no—
956#123—22no—
957#123—22no—
958#123—24no—
959#123—24no—
960#123—28no—
961#123—28no—
962#123—24no—
963#123—24no—
964#123—24no—
965#123—24no—
966#123—24no—
967#123—24no—
968#123—24no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—24no—
974#123—24no—
975#123—24no—
976#123—24no—
977#123—24no—
978#123—24no—
979#123—24no—
980#123C2×D414yes—
981#123C2×D414yes—
982#123C2×D414yes—
983#123C2×D414yes—
984C22⋊Q8—22no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—22no—
988C22⋊Q8—21no—
989C22⋊Q8—24no—
990C22⋊Q8—21no—
991C22⋊Q8—21no—
992C22⋊Q8—21no—
993C22⋊Q8—22no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—22no—
998C22⋊Q8—22no—
999C22⋊Q8—22no—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—24no—
1004C22⋊Q8—24no—
1005C22⋊Q8—24no—
1006C22⋊Q8—24no—
1007C22⋊Q8—24no—
1008C22⋊Q8C2×D412yes—
1009C22⋊Q8C2×D412yes—
1010C22⋊Q8C2×D412yes—
1011C22⋊Q8C2×D412yes—
1012C22⋊Q8C2418yes—
1013C22⋊Q8C2412yes—
1014C22⋊Q8C2412yes—
1015C22⋊Q8C2414yes—
1016#121—24no—
1017#121—24no—
1018#121—22no—
1019#121—24no—
1020#121—22no—
1021#121—24no—
1022#121—24no—
1023#121—21no—
1024#121—21no—
1025#121—22no—
1026#121—22no—
1027#121—22no—
1028#121—22no—
1029#121—21no—
1030#121—22no—
1031#121—22no—
1032#121—22no—
1033#121—22no—
1034#121—22no—
1035#121—22no—
1036#121—22no—
1037#121—22no—
1038#121—22no—
1039#121—21no—
1040#121—21no—
1041#121—22no—
1042#121—22no—
1043#121—21no—
1044#121—21no—
1045#121—22no—
1046#121—21no—
1047#121—21no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—21no—
1052#121—21no—
1053#121—21no—
1054#121—24no—
1055#121—24no—
1056#121—24no—
1057#121—28no—
1058#121—28no—
1059#121—28no—
1060#121—28no—
1061#121—22no—
1062#121—24no—
1063#121—24no—
1064#121—28no—
1065#121—28no—
1066#121—22no—
1067#121—22no—
1068#121—22no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—24no—
1073#121—24no—
1074#121—28no—
1075#121—28no—
1076#121—28no—
1077#121—28no—
1078#121—28no—
1079#121—28no—
1080#121—24no—
1081#121—24no—
1082#121—24no—
1083#121—24no—
1084#121—24no—
1085#121—24no—
1086#121—24no—
1087#121—24no—
1088#121—24no—
1089#121C2×D412yes—
1090#121C2×D412yes—
1091#121C2×D412yes—
1092#121C2×D412yes—
1093#121C2412yes—
1094#121C2412yes—
1095#121C2412yes—
1096#121C2412yes—
1097#121C2412yes—
1098#121C2412yes—
1099#121C2412yes—
1100#121C2412yes—
1101#121C2412yes—
1102#121C2414yes—
1103#121C2414yes—
1104#121C2418yes—
1105#121C2412yes—
1106#121C2414yes—
1107#120—22no—
1108#120—24no—
1109#120—28no—
1110#120—28no—
1111#120—24no—
1112#120—24no—
1113#120—28no—
1114#120—28no—
1115#120—28no—
1116#120—28no—
1117#120—28no—
1118#120—28no—
1119#120—24no—
1120#120—24no—
1121#120—24no—
1122#120—24no—
1123#120—24no—
1124#120—24no—
1125C4×Q8—22no—
1126C4×Q8—22no—
1127C4×Q8—24no—
1128C4×Q8—21no—
1129C4×Q8—21no—
1130C4×Q8—21no—
1131C4×Q8—21no—
1132C4×Q8C2×D412yes—
1133C4×Q8C2×D412yes—
1134C4×Q8C2418yes—
1135C4×Q8C2412yes—
1136C4×Q8C2412yes—
1137C4×Q8C2414yes—
1138C4×Q8C2412yes—
1139C4×Q8C2412yes—
1140C4×D4—24no—
1141C4×D4—22no—
1142C4×D4—22no—
1143C4×D4—22no—
1144C4×D4—22no—
1145C4×D4—22no—
1146C4×D4—22no—
1147C4×D4—24no—
1148C4×D4—24no—
1149C4×D4—24no—
1150C4×D4—28no—
1151C4×D4—28no—
1152C4×D4—24no—
1153C4×D4—24no—
1154C4×D4—24no—
1155C4×D4—22no—
1156C4×D4—22no—
1157C4×D4—24no—
1158C4×D4—24no—
1159C4×D4—24no—
1160C4×D4—24no—
1161C4×D4—22no—
1162C4×D4—22no—
1163C4×D4—22no—
1164C4×D4—22no—
1165C4×D4—21no—
1166C4×D4—22no—
1167C4×D4—22no—
1168C4×D4—22no—
1169C4×D4—22no—
1170C4×D4—22no—
1171C4×D4—22no—
1172C4×D4—22no—
1173C4×D4—22no—
1174C4×D4—21no—
1175C4×D4—22no—
1176C4×D4—22no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—24no—
1184C4×D4—22no—
1185C4×D4—22no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—24no—
1191C4×D4C2×D414yes—
1192C4×D4C2×D414yes—
1193C4×D4C2×D412yes—
1194C4×D4C2×D412yes—
1195C4×D4C2412yes—
1196C4×D4C2412yes—
1197C4×D4C2412yes—
1198C4×D4C2412yes—
1199C4×D4C2418yes—
1200C4×D4C2412yes—
1201C4×D4C2412yes—
1202C4×D4C2412yes—
1203C4×D4C2412yes—
1204C4×D4C2412yes—
1205C4×D4C2412yes—
1206C4×D4C2414yes—
1207C4×D4C2414yes—
1208C4×D4C2414yes—
1209C4×D4C2412yes—
1210C4×D4C2412yes—
1211C4×D4C2414yes—
1212C4×D4C2414yes—
1213#117—21no—
1214#117—21no—
1215#117—24no—
1216#117—24no—
1217#117—24no—
1218#117—22no—
1219#117—22no—
1220#117—24no—
1221#117—22no—
1222#117—22no—
1223#117—22no—
1224#117—24no—
1225#117C2×D414yes—
1226#117C2×D414yes—
1227#117C2412yes—
1228#117C2414yes—
1229#117C2414yes—
1230#117C2414yes—
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—22no—
1233C2×C4⋊C4—21no—
1234C2×C4⋊C4—21no—
1235C2×C4⋊C4—21no—
1236C2×C4⋊C4—22no—
1237C2×C4⋊C4—24no—
1238C2×C4⋊C4—24no—
1239C2×C4⋊C4—22no—
1240C2×C4⋊C4—22no—
1241C2×C4⋊C4—24no—
1242C2×C4⋊C4C2×D411yescharacteristic
1243C2×C4⋊C4C2×D411yescharacteristic
1244C2×C4⋊C4C2×D412yes—
1245C2×C4⋊C4C2×D412yes—
1246C2×C4⋊C4C2×D412yes—
1247C2×C4⋊C4C2×D412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2414yes—
1252C2×C22⋊C4—22no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—22no—
1255C2×C22⋊C4—22no—
1256C2×C22⋊C4—21no—
1257C2×C22⋊C4—22no—
1258C2×C22⋊C4—22no—
1259C2×C22⋊C4—22no—
1260C2×C22⋊C4—22no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—22no—
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—22no—
1265C2×C22⋊C4—24no—
1266C2×C22⋊C4—28no—
1267C2×C22⋊C4—28no—
1268C2×C22⋊C4—24no—
1269C2×C22⋊C4—24no—
1270C2×C22⋊C4—24no—
1271C2×C22⋊C4—24no—
1272C2×C22⋊C4C2×D412yes—
1273C2×C22⋊C4C2×D412yes—
1274C2×C22⋊C4C2×D412yes—
1275C2×C22⋊C4C2×D412yes—
1276C2×C22⋊C4C2×D412yes—
1277C2×C42—22no—
1278C2×C42—22no—
1279C2×C42C2×D411yescharacteristic
1280C2×C42C2×D411yescharacteristic
1281C2×C42C2×D411yescharacteristic
1282C2×C42C2×D411yescharacteristic
1283C2×C42C2×D411yescharacteristic
1284C2×C42C2×D411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2412yes—
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292#107C2414yes—
1293#107C2414yes—
1294#107C2414yes—
1295#107C2414yes—
1296#107C2414yes—
1297#107C2414yes—
1298#106C2414yes—
1299#106C2414yes—
1300C4⋊C8C2414yes—
1301C4⋊C8C2412yes—
1302C4⋊C8C2412yes—
1303C4⋊C8C2414yes—
1304C4⋊C8C2412yes—
1305C4⋊C8C2412yes—
1306C4⋊C8C2418yes—
1307C4⋊C8C2418yes—
1308#103C2418yes—
1309#103C2418yes—
1310#103C2418yes—
1311#103C2418yes—
1312#103C2414yes—
1313#103C2414yes—
1314#102C2414yes—
1315#102C2414yes—
1316#102C2418yes—
1317#102C2418yes—
1318#102C2414yes—
1319#102C2414yes—
1320#102C2418yes—
1321#102C2414yes—
1322#102C2414yes—
1323#102C2418yes—
1324#102C2414yes—
1325#102C2414yes—
1326#102C2414yes—
1327#102C2414yes—
1328#102C2414yes—
1329#102C2414yes—
1330#102C2414yes—
1331#102C2414yes—
1332C22⋊C8C2412yes—
1333C22⋊C8C2412yes—
1334C22⋊C8C2412yes—
1335C22⋊C8C2414yes—
1336C22⋊C8C2418yes—
1337C22⋊C8C2412yes—
1338C22⋊C8C2414yes—
1339C22⋊C8C2418yes—
1340#97C2414yes—
1341#97C2418yes—
1342C4×C8C2414yes—
1343C4×C8C2412yes—
1344C4×C8C2412yes—
1345C4×C8C2412yes—
1346C4×C8C2412yes—
1347C4×C8C2418yes—
1348C24—21no—
1349C24—22no—
1350C24—21no—
1351C24—22no—
1352C24—24no—
1353C24—28no—
1354C24—84no—
1355C24—84no—
1356C24—84no—
1357C24C22×D412yes—
1358C24C22×D411yescharacteristic
1359#41—44no—
1360#41—48no—
1361#41—48no—
1362#41—48no—
1363#41—48no—
1364#41—48no—
1365#41—44no—
1366#41—44no—
1367#41—44no—
1368#41—84no—
1369#41—84no—
1370#41—84no—
1371#41—84no—
1372#41—84no—
1373#41—84no—
1374#41—88no—
1375#41—82no—
1376#41—82no—
1377#41—84no—
1378#41—84no—
1379#41—82no—
1380#41—88no—
1381#41—88no—
1382#41—84no—
1383#41—84no—
1384#41—88no—
1385#41—84no—
1386#41—84no—
1387C2×Q8—24no—
1388C2×Q8—21no—
1389C2×Q8—22no—
1390C2×Q8—21no—
1391C2×Q8—21no—
1392C2×Q8—21no—
1393C2×Q8—24no—
1394C2×Q8—22no—
1395C2×Q8—22no—
1396C2×Q8—22no—
1397C2×Q8—44no—
1398C2×Q8—82no—
1399C2×Q8—82no—
1400C2×Q8—84no—
1401C2×Q8—84no—
1402C2×Q8C22×D412yes—
1403C2×Q8C22×D412yes—
1404C2×Q8C2514yes—
1405C2×Q8C2512yes—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—24no—
1411C2×D4—22no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—28no—
1416C2×D4—24no—
1417C2×D4—24no—
1418C2×D4—22no—
1419C2×D4—24no—
1420C2×D4—28no—
1421C2×D4—24no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—24no—
1426C2×D4—21no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—22no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—21no—
1440C2×D4—24no—
1441C2×D4—22no—
1442C2×D4—22no—
1443C2×D4—28no—
1444C2×D4—24no—
1445C2×D4—21no—
1446C2×D4—22no—
1447C2×D4—22no—
1448C2×D4—24no—
1449C2×D4—28no—
1450C2×D4—28no—
1451C2×D4—22no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—42no—
1455C2×D4—48no—
1456C2×D4—48no—
1457C2×D4—44no—
1458C2×D4—48no—
1459C2×D4—44no—
1460C2×D4—82no—
1461C2×D4—82no—
1462C2×D4—84no—
1463C2×D4—88no—
1464C2×D4—88no—
1465C2×D4—84no—
1466C2×D4—84no—
1467C2×D4—82no—
1468C2×D4—88no—
1469C2×D4—84no—
1470C2×D4—82no—
1471C2×D4—82no—
1472C2×D4—82no—
1473C2×D4—82no—
1474C2×D4—82no—
1475C2×D4—84no—
1476C2×D4—84no—
1477C2×D4—84no—
1478C2×D4—84no—
1479C2×D4—84no—
1480C2×D4—88no—
1481C2×D4—88no—
1482C2×D4C22×D412yes—
1483C2×D4C22×D412yes—
1484C2×D4C22×D414yes—
1485C2×D4C22×D414yes—
1486C2×D4C2512yes—
1487C2×D4C2514yes—
1488C2×D4C2512yes—
1489C2×D4C2512yes—
1490C2×D4C2512yes—
1491C2×D4C2512yes—
1492C22×C4—24no—
1493C22×C4—21no—
1494C22×C4—22no—
1495C22×C4—21no—
1496C22×C4—22no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—24no—
1508C22×C4—24no—
1509C22×C4—22no—
1510C22×C4—24no—
1511C22×C4—28no—
1512C22×C4—24no—
1513C22×C4—24no—
1514C22×C4—24no—
1515C22×C4—22no—
1516C22×C4—28no—
1517C22×C4—44no—
1518C22×C4—42no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—84no—
1522C22×C4—84no—
1523C22×C4—81no—
1524C22×C4—84no—
1525C22×C4—84no—
1526C22×C4C22×D411yescharacteristic
1527C22×C4C22×D411yescharacteristic
1528C22×C4C22×D411yescharacteristic
1529C22×C4C22×D411yescharacteristic
1530C22×C4C22×D411yescharacteristic
1531C22×C4C22×D412yes—
1532C22×C4C22×D412yes—
1533C22×C4C22×D411yescharacteristic
1534C22×C4C22×D411yescharacteristic
1535C22×C4C22×D411yescharacteristic
1536C22×C4C22×D411yescharacteristic
1537C22×C4C22×D411yescharacteristic
1538C22×C4C22×D411yescharacteristic
1539C22×C4C22×D411yescharacteristic
1540C22×C4C22×D411yescharacteristic
1541C22×C4C22×D411yescharacteristic
1542C22×C4C22×D412yes—
1543C22×C4C22×D414yes—
1544C22×C4C22×D411yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2514yes—
1549Q16—48no—
1550SD16—44no—
1551SD16—48no—
1552SD16—48no—
1553SD16—48no—
1554SD16—48no—
1555SD16—44no—
1556D8—44no—
1557D8—44no—
1558D8—48no—
1559D8—48no—
1560D8—44no—
1561D8—44no—
1562D8—44no—
1563D8—44no—
1564D8—48no—
1565M16—44no—
1566M16—48no—
1567C2×C8—48no—
1568C2×C8—44no—
1569C2×C8C2514yes—
1570C2×C8C2514yes—
1571C2×C8C2514yes—
1572C2×C8C2514yes—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—28no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—21no—
1581C4⋊C4—22no—
1582C4⋊C4—21no—
1583C4⋊C4—22no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—28no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—22no—
1594C4⋊C4—22no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—22no—
1598C4⋊C4—22no—
1599C4⋊C4—22no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—22no—
1603C4⋊C4C22×D412yes—
1604C4⋊C4C22×D412yes—
1605C4⋊C4C22×D412yes—
1606C4⋊C4C22×D414yes—
1607C4⋊C4C22×D412yes—
1608C4⋊C4C22×D414yes—
1609C4⋊C4C22×D414yes—
1610C4⋊C4C22×D414yes—
1611C4⋊C4C22×D414yes—
1612C4⋊C4C22×D414yes—
1613C4⋊C4C22×D414yes—
1614C4⋊C4C22×D414yes—
1615C4⋊C4C2512yes—
1616C4⋊C4C2512yes—
1617C4⋊C4C2512yes—
1618C4⋊C4C2512yes—
1619C4⋊C4C2512yes—
1620C4⋊C4C2512yes—
1621C22⋊C4—28no—
1622C22⋊C4—22no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—22no—
1626C22⋊C4—22no—
1627C22⋊C4—22no—
1628C22⋊C4—22no—
1629C22⋊C4—22no—
1630C22⋊C4—22no—
1631C22⋊C4—22no—
1632C22⋊C4—28no—
1633C22⋊C4—22no—
1634C22⋊C4—22no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—22no—
1638C22⋊C4—28no—
1639C22⋊C4—22no—
1640C22⋊C4—22no—
1641C22⋊C4—22no—
1642C22⋊C4—22no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—22no—
1650C22⋊C4—22no—
1651C22⋊C4—28no—
1652C22⋊C4—22no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—22no—
1656C22⋊C4—22no—
1657C22⋊C4—22no—
1658C22⋊C4—24no—
1659C22⋊C4—22no—
1660C22⋊C4—22no—
1661C22⋊C4—22no—
1662C22⋊C4—24no—
1663C22⋊C4—22no—
1664C22⋊C4—24no—
1665C22⋊C4C22×D414yes—
1666C22⋊C4C22×D414yes—
1667C22⋊C4C22×D414yes—
1668C22⋊C4C22×D414yes—
1669C22⋊C4C22×D414yes—
1670C22⋊C4C22×D414yes—
1671C22⋊C4C22×D414yes—
1672C22⋊C4C22×D414yes—
1673C22⋊C4C22×D414yes—
1674C22⋊C4C22×D414yes—
1675C42—22no—
1676C42—22no—
1677C42—22no—
1678C42—28no—
1679C42—24no—
1680C42—24no—
1681C42C22×D411yescharacteristic
1682C42C22×D411yescharacteristic
1683C42C22×D411yescharacteristic
1684C42C22×D411yescharacteristic
1685C42C22×D411yescharacteristic
1686C42C22×D411yescharacteristic
1687C42C22×D411yescharacteristic
1688C42C22×D411yescharacteristic
1689C42C22×D411yescharacteristic
1690C42C22×D411yescharacteristic
1691C42C22×D411yescharacteristic
1692C42C22×D411yescharacteristic
1693C42C22×D414yes—
1694C42C2511yescharacteristic
1695C42C2511yescharacteristic
1696C42C2511yescharacteristic
1697C42C2514yes—
1698C42C2511yescharacteristic
1699C23—22no—
1700C23—24no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—24no—
1706C23—22no—
1707C23—41no—
1708C23—42no—
1709C23—41no—
1710C23—42no—
1711C23—42no—
1712C23—44no—
1713C23—42no—
1714C23—42no—
1715C23—44no—
1716C23—42no—
1717C23—44no—
1718C23—42no—
1719C23—42no—
1720C23—44no—
1721C23—82no—
1722C23—88no—
1723C23—82no—
1724C23—88no—
1725C23—88no—
1726C23—84no—
1727C23—84no—
1728C23—84no—
1729C23—1616no—
1730C23C23×D414yes—
1731C23C23×D411yescharacteristic
1732C23C23×D411yescharacteristic
1733C23C23×D411yescharacteristic
1734Q8—24no—
1735Q8—24no—
1736Q8—24no—
1737Q8—28no—
1738Q8—44no—
1739Q8—42no—
1740Q8—42no—
1741Q8—42no—
1742Q8—84no—
1743Q8—82no—
1744Q8—82no—
1745Q8—82no—
1746Q8—81no—
1747D4—24no—
1748D4—24no—
1749D4—24no—
1750D4—22no—
1751D4—22no—
1752D4—28no—
1753D4—22no—
1754D4—22no—
1755D4—24no—
1756D4—24no—
1757D4—44no—
1758D4—44no—
1759D4—42no—
1760D4—44no—
1761D4—42no—
1762D4—44no—
1763D4—44no—
1764D4—44no—
1765D4—44no—
1766D4—44no—
1767D4—44no—
1768D4—42no—
1769D4—42no—
1770D4—42no—
1771D4—82no—
1772D4—84no—
1773D4—88no—
1774D4—82no—
1775D4—81no—
1776D4—82no—
1777D4—81no—
1778D4—82no—
1779D4—82no—
1780D4—82no—
1781D4—84no—
1782D4—88no—
1783D4—82no—
1784D4—82no—
1785D4—82no—
1786D4—88no—
1787D4—81no—
1788D4—84no—
1789D4—84no—
1790D4—88no—
1791D4—84no—
1792D4—84no—
1793D4—84no—
1794D4—84no—
1795D4—88no—
1796D4—82no—
1797D4—82no—
1798D4—82no—
1799D4—82no—
1800D4—82no—
1801D4—82no—
1802D4—82no—
1803D4—84no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—28no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—41no—
1823C2×C4—42no—
1824C2×C4—44no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—41no—
1833C2×C4—42no—
1834C2×C4—44no—
1835C2×C4—42no—
1836C2×C4—42no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—88no—
1847C2×C4—82no—
1848C2×C4—82no—
1849C2×C4—88no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4—82no—
1854C2×C4—84no—
1855C2×C4—82no—
1856C2×C4—82no—
1857C2×C4—84no—
1858C2×C4#57614yes—
1859C2×C4C23×D414yes—
1860C2×C4C23×D411yescharacteristic
1861C2×C4C23×D411yescharacteristic
1862C2×C4C23×D414yes—
1863C2×C4C23×D411yescharacteristic
1864C2×C4C23×D411yescharacteristic
1865C2×C4C23×D411yescharacteristic
1866C2×C4C23×D411yescharacteristic
1867C2×C4C23×D411yescharacteristic
1868C2×C4C23×D411yescharacteristic
1869C2×C4C23×D411yescharacteristic
1870C2×C4C23×D414yes—
1871C2×C4C23×D411yescharacteristic
1872C2×C4C23×D411yescharacteristic
1873C2×C4C2611yescharacteristic
1874C8—24no—
1875C8—24no—
1876C8—24no—
1877C8—24no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—24no—
1883C22—21no—
1884C22—21no—
1885C22—24no—
1886C22—21no—
1887C22—21no—
1888C22—24no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—44no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—44no—
1900C22—42no—
1901C22—42no—
1902C22—44no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—82no—
1908C22—84no—
1909C22—84no—
1910C22—88no—
1911C22—84no—
1912C22—164no—
1913C22—1616no—
1914C22—324no—
1915C22C2×#57612yes—
1916C22C24×D411yescharacteristic
1917C4—21no—
1918C4—21no—
1919C4—24no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—24no—
1925C4—21no—
1926C4—21no—
1927C4—21no—
1928C4—24no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—42no—
1934C4—42no—
1935C4—44no—
1936C4—42no—
1937C4C2×#57612yes—
1938C4C2×#57612yes—
1939C4H(7,𝔽2)12yes—
1940C2—22no—
1941C2—41no—
1942C2—41no—
1943C2—44no—
1944C2—82no—
1945C2—84no—
1946C2—82no—
1947C2—82no—
1948C2—82no—
1949C2—82no—
1950C2#6285211yescharacteristic
1951C2C22×#57611yescharacteristic
1952C2#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×#3546C2semidirect
3. #62618C2semidirect
4. #62561C2semidirect
5. #62463C2semidirect
6. #62440C2semidirect
7. #62074C2semidirect
8. #62067C2semidirect
9. #62041C2semidirect
10. #62040C2semidirect
11. #61890C2semidirect
12. #61888C2semidirect
13. #61882C2semidirect
14. #61880C2semidirect
15. #61605C2semidirect
16. #61592C2semidirect
17. #61585C2semidirect
18. #61582C2semidirect
19. #61565C2semidirect
20. #61559C2semidirect
21. #60976C2semidirect
22. #60951C2semidirect
23. #60940C2semidirect
24. #60811C2semidirect
25. #60803C2semidirect
26. #60782C2semidirect
27. #60290C2semidirect
30. #3552C22semidirect
32. #3547C22semidirect
37. #3546C22semidirect
38. #3546C22semidirect
39. #3546C22semidirect
40. #3546C22semidirect
41. #3546C22semidirect
42. #3543C22semidirect
45. #3520C22semidirect
46. #3519C22semidirect
47. #3519C22semidirect
48. #3517C22semidirect
50. #3514C22semidirect
52. #3507C22semidirect
56. #3497C22semidirect
58. #3494C22semidirect
61. C2×#556C22semidirect
63. C2×#550C22semidirect
64. C2×#550C22semidirect
65. C2×#547C22semidirect
67. C2×#546C22semidirect
68. C2×D42C22semidirect
69. C2×#542C22semidirect
73. C2×#535C22semidirect
74. #3444C22semidirect
75. C2×#532C22semidirect
76. C2×#532C22semidirect
77. C2×#532C22semidirect
79. #3399C22semidirect
80. #3397C22semidirect
81. #3397C22semidirect
82. #3397C22semidirect
83. #3394C22semidirect
84. #3393C22semidirect
85. #3391C22semidirect
86. #3391C22semidirect
87. #3368C22semidirect
88. #3367C22semidirect
89. #3367C22semidirect
90. #3366C22semidirect
91. #3364C22semidirect
92. #3360C22semidirect
93. #3358C22semidirect
94. #3358C22semidirect
95. #3333C22semidirect
96. #3330C22semidirect
97. #3330C22semidirect
98. #3325C22semidirect
99. #3324C22semidirect
100. #3322C22semidirect
101. #3319C22semidirect
102. #3314C22semidirect
103. #3309C22semidirect
104. #3309C22semidirect
105. #3305C22semidirect
106. #3303C22semidirect
107. #3302C22semidirect
108. #3297C22semidirect
109. #3294C22semidirect
110. #3294C22semidirect
111. #3287C22semidirect
112. #3284C22semidirect
113. #3283C22semidirect
114. #3280C22semidirect
115. D4×D8C22semidirect
116. D4×D8C22semidirect
117. #3274C22semidirect
118. #3274C22semidirect
119. #3273C22semidirect
120. #3272C22semidirect
121. #3272C22semidirect
122. #3272C22semidirect
123. #3268C22semidirect
124. #3268C22semidirect
125. #3268C22semidirect
126. #3264C22semidirect
127. #3262C22semidirect
128. #3257C22semidirect
129. #3254C22semidirect
130. #3253C22semidirect
131. #3245C22semidirect
132. #3245C22semidirect
133. #3243C22semidirect
134. #3238C22semidirect
135. #3235C22semidirect
136. #3226C22semidirect
137. #3226C22semidirect
138. #3224C22semidirect
139. #3224C22semidirect
140. #3224C22semidirect
141. #3220C22semidirect
142. #3220C22semidirect
143. #3217C22semidirect
144. #3217C22semidirect
145. #3214C22semidirect
146. #3214C22semidirect
147. #3213C22semidirect
148. #3213C22semidirect
149. #3212C22semidirect
150. #3211C22semidirect
151. #3211C22semidirect
152. #3210C22semidirect
153. #3209C22semidirect
154. #3208C22semidirect
155. #3207C22semidirect
156. #3207C22semidirect
157. #3207C22semidirect
158. #3206C22semidirect
159. #3206C22semidirect
160. #3206C22semidirect
162. #3205C22semidirect
163. #3205C22semidirect
164. #3205C22semidirect
165. #3205C22semidirect
166. #3205C22semidirect
167. #3194C22semidirect
168. #3194C22semidirect
169. #3194C22semidirect
170. #3193C22semidirect
171. #3190C22semidirect
172. #3186C22semidirect
173. #3186C22semidirect
174. #3186C22semidirect
175. #3179C22semidirect
176. #3175C22semidirect
177. #3171C22semidirect
178. #3169C22semidirect
179. #3155C22semidirect
180. #3151C22semidirect
181. #3147C22semidirect
182. #3141C22semidirect
183. #3136C22semidirect
184. #3131C22semidirect
185. #3124C22semidirect
186. #3118C22semidirect
187. #3114C22semidirect
188. #3112C22semidirect
189. #3108C22semidirect
190. #3106C22semidirect
191. #3101C22semidirect
192. #3101C22semidirect
194. #3100C22semidirect
195. #3100C22semidirect
196. #3100C22semidirect
197. #3100C22semidirect
198. #3100C22semidirect
199. #3100C22semidirect
200. #3100C22semidirect
201. #3045C22semidirect
202. #3041C22semidirect
203. #3036C22semidirect
204. #3035C22semidirect
205. #3006C22semidirect
206. #3006C22semidirect
207. #3003C22semidirect
208. #3002C22semidirect
209. #3002C22semidirect
210. C2×#447C22semidirect
211. #2994C22semidirect
212. #2993C22semidirect
213. #2983C22semidirect
214. #2982C22semidirect
215. #2975C22semidirect
216. #2974C22semidirect
217. #2972C22semidirect
218. #2969C22semidirect
219. #2966C22semidirect
220. #2924C22semidirect
221. #2920C22semidirect
222. C2×#431C22semidirect
233. C2×AGL(1,ℤ/8)C23semidirect
234. C2×AGL(1,ℤ/8)C23semidirect
235. C2×#135C23semidirect
236. C2×#135C23semidirect
247. #559C23semidirect
248. #557C23semidirect
255. #556C23semidirect
258. #555C23semidirect
259. #554C23semidirect
260. #554C23semidirect
272. #553C23semidirect
273. #553C23semidirect
291. #550C23semidirect
292. #550C23semidirect
293. #550C23semidirect
295. D4×Q8C23semidirect
296. D4×Q8C23semidirect
331. #546C23semidirect
332. #546C23semidirect
341. D42C23semidirect
342. #544C23semidirect
348. #542C23semidirect
349. #542C23semidirect
354. #540C23semidirect
355. #540C23semidirect
392. #535C23semidirect
396. #533C23semidirect
397. #533C23semidirect
424. #532C23semidirect
425. #532C23semidirect
426. #532C23semidirect
427. #532C23semidirect
428. #532C23semidirect
431. C2×C4⋊Q8C23semidirect
436. C2×#127C23semidirect
453. #529C23semidirect
506. #520C23semidirect
508. #518C23semidirect
511. C4×#41C23semidirect
524. C2×C4×D4C23semidirect
530. #501C23semidirect
531. #500C23semidirect
534. #496C23semidirect
535. #496C23semidirect
537. #495C23semidirect
538. #494C23semidirect
543. #493C23semidirect
545. #492C23semidirect
546. #492C23semidirect
547. #492C23semidirect
549. #490C23semidirect
551. #489C23semidirect
552. #489C23semidirect
554. #488C23semidirect
555. #487C23semidirect
556. #487C23semidirect
557. #487C23semidirect
558. #487C23semidirect
564. #486C23semidirect
565. #486C23semidirect
566. #485C23semidirect
567. #484C23semidirect
572. #482C23semidirect
581. #480C23semidirect
582. #479C23semidirect
583. #478C23semidirect
584. #477C23semidirect
585. #477C23semidirect
587. #476C23semidirect
588. #476C23semidirect
592. #474C23semidirect
593. #474C23semidirect
594. #474C23semidirect
595. #474C23semidirect
596. #474C23semidirect
597. #474C23semidirect
600. #469C23semidirect
603. #468C23semidirect
604. #468C23semidirect
605. #468C23semidirect
606. #467C23semidirect
611. #466C23semidirect
612. #466C23semidirect
613. #465C23semidirect
615. #464C23semidirect
616. #464C23semidirect
620. #463C23semidirect
621. #463C23semidirect
622. #463C23semidirect
623. #463C23semidirect
624. #462C23semidirect
626. #461C23semidirect
627. #461C23semidirect
628. #461C23semidirect
629. #461C23semidirect
632. #460C23semidirect
633. #460C23semidirect
643. #459C23semidirect
644. #459C23semidirect
645. #459C23semidirect
646. #459C23semidirect
647. #459C23semidirect
648. #459C23semidirect
649. #459C23semidirect
650. #452C23semidirect
651. #452C23semidirect
652. #452C23semidirect
658. #450C23semidirect
661. #449C23semidirect
662. #449C23semidirect
663. #449C23semidirect
664. #449C23semidirect
665. #449C23semidirect
666. #449C23semidirect
667. #449C23semidirect
685. #447C23semidirect
686. #446C23semidirect
687. #446C23semidirect
688. C8×Q8C23semidirect
689. C8×Q8C23semidirect
690. #442C23semidirect
691. #440C23semidirect
692. #440C23semidirect
693. #440C23semidirect
694. C4×Q16C23semidirect
696. C4×SD16C23semidirect
697. C4×SD16C23semidirect
701. C4×D8C23semidirect
702. C4×D8C23semidirect
703. C4×D8C23semidirect
704. C4×D8C23semidirect
705. C4×D8C23semidirect
708. #436C23semidirect
709. #435C23semidirect
710. #435C23semidirect
713. C8×D4C23semidirect
714. #433C23semidirect
715. #433C23semidirect
718. #432C23semidirect
725. #431C23semidirect
726. #431C23semidirect
727. #431C23semidirect
728. #424C23semidirect
729. #423C23semidirect
730. C2×C4⋊C8C23semidirect
732. #417C23semidirect
733. #417C23semidirect
734. #416C23semidirect
735. #416C23semidirect
741. #405C23semidirect
742. C4×M16C23semidirect
743. C2×C4×C8C23semidirect

Maximal subgroups

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

subgroupindex
#628302
C2×#35462
#626182
#625612
#624632
#624402
#620742
#620672
#620412
#620402
#618902
#618882
#618822
#618802
#616052
#615922
#615852
#615822
#615652
#615592
#609762
#609512
#609402
#608112
#608032
#607822
#602902