Finite Group Databasebeta

← #10580465

Subgroups — #10580465

Order 512.

6449 conjugacy classes of subgroups.

The subgroup lattice has 1927 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62830C211yesmaximal, characteristic, complemented
2C2×#3514C211yesmaximal, characteristic, complemented
3#62215C214yesmaximal, complemented
4#62180C214yesmaximal, complemented
5#62067C214yesmaximal, complemented
6#62031C214yesmaximal, complemented
7#61891C211yesmaximal, characteristic, complemented
8#61885C211yesmaximal, characteristic, complemented
9#61827C211yesmaximal, characteristic, complemented
10#61817C211yesmaximal, characteristic, complemented
11#61740C214yesmaximal, complemented
12#61722C211yesmaximal, characteristic, complemented
13#61701C211yesmaximal, characteristic, complemented
14#61592C214yesmaximal, complemented
15#61582C211yesmaximal, characteristic, complemented
16#61559C211yesmaximal, characteristic, complemented
17#61553C214yesmaximal, complemented
18#61539C214yesmaximal, complemented
19#61494C214yesmaximal, complemented
20#61475C214yesmaximal, complemented
21#60976C214yesmaximal, complemented
22#60965C211yesmaximal, characteristic, complemented
23#60940C211yesmaximal, characteristic, complemented
24#60578C214yesmaximal, 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#3519C2214yescomplemented
38#3519C2212yescomplemented
39#3517C2212yescomplemented
40#3514—22no—
41#3514—22no—
42#3514—22no—
43#3514—22no—
44#3514—22no—
45#3514C2214yescomplemented
46#3514C2214yescomplemented
47#3514C2214yescomplemented
48#3514C2214yescomplemented
49#3514C2212yescomplemented
50#3512—21no—
51#3507C2211yescharacteristic, complemented
52#3506C2211yescharacteristic
53#3505—22no—
54#3500—21no—
55#3497C2211yescharacteristic, complemented
56#3496C2211yescharacteristic
57#3494C2214yescomplemented
58#3489—21no—
59#3488—21no—
60C2×#559C2211yescharacteristic, complemented
61C2×#556C2211yescharacteristic, complemented
62C2×#555C2212yescomplemented
63C2×#551—22no—
64C2×D4×Q8C2211yescharacteristic, complemented
65C2×#548—21no—
66C2×#546—21no—
67C2×#546C2212yescomplemented
68C2×D42C2211yescharacteristic, complemented
69C2×#542C2212yescomplemented
70C2×#538—22no—
71#3444C2211yescharacteristic, complemented
72C2×#532C2211yescharacteristic, complemented
73C2×#532C2211yescharacteristic, complemented
74C2×#529—21no—
75C2×#529C2211yescharacteristic
76C22×#124—21no—
77C2×#518C2212yescomplemented
78C2×C4×#41C2211yescharacteristic, complemented
79#3399C2214yescomplemented
80#3399C2214yescomplemented
81#3396C2214yescomplemented
82#3394C2214yescomplemented
83#3386C2214yescomplemented
84#3384C2214yescomplemented
85Q8×D8C2214yescomplemented
86Q8×D8C2214yescomplemented
87#3373C2214yescomplemented
88#3373C2214yescomplemented
89#3373C2214yescomplemented
90#3367C2214yescomplemented
91#3365C2214yescomplemented
92#3361C2214yescomplemented
93#3358C2214yescomplemented
94#3358C2214yescomplemented
95#3357C2218yescomplemented
96#3353C2214yescomplemented
97#3353C2214yescomplemented
98#3347C2218yescomplemented
99#3347C2218yescomplemented
100#3342C2214yescomplemented
101#3341C2218yescomplemented
102#3340C2214yescomplemented
103#3325C2214yescomplemented
104#3325C2218yescomplemented
105#3324C2214yescomplemented
106#3324C2214yescomplemented
107#3324C2214yescomplemented
108#3322C2218yescomplemented
109#3319C2218yescomplemented
110#3319C2218yescomplemented
111#3319C2218yescomplemented
112#3314C2218yescomplemented
113#3305C2218yescomplemented
114#3304C2214yescomplemented
115#3302C2214yescomplemented
116#3297C2218yescomplemented
117#3294C2214yescomplemented
118#3294C2214yescomplemented
119#3280C2218yescomplemented
120D4×D8C2214yescomplemented
121D4×D8C2214yescomplemented
122#3274C2214yescomplemented
123#3273C2218yescomplemented
124#3272C2214yescomplemented
125#3268C2218yescomplemented
126#3264C2218yescomplemented
127#3262C2218yescomplemented
128#3257C2218yescomplemented
129#3251C2214yescomplemented
130#3245C2214yescomplemented
131#3243C2218yescomplemented
132#3238C2214yescomplemented
133#3229C2211yescharacteristic, complemented
134#3228C2212yescomplemented
135#3226C2211yescharacteristic, complemented
136#3226C2211yescharacteristic, complemented
137#3226C2211yescharacteristic, complemented
138#3226C2214yescomplemented
139#3226C2212yescomplemented
140#3224C2218yescomplemented
141#3213C2214yescomplemented
142#3211C2214yescomplemented
143#3208C2211yescharacteristic, complemented
144#3207C2212yescomplemented
145#3205C2211yescharacteristic
146#3205C2211yescharacteristic, complemented
147#3205C2211yescharacteristic, complemented
148#3205C2212yescomplemented
149#3194C2214yescomplemented
150#3194C2214yescomplemented
151#3193C2214yescomplemented
152#3190C2214yescomplemented
153#3186C2214yescomplemented
154#3186C2214yescomplemented
155#3184C2212yescomplemented
156#3182C2212yescomplemented
157#3179C2218yescomplemented
158#3175C2218yescomplemented
159#3169C2212yescomplemented
160#3169C2212yescomplemented
161#3124C2218yescomplemented
162#3122C2218yescomplemented
163#3122C2218yescomplemented
164#3118C2218yescomplemented
165#3118C2218yescomplemented
166#3118C2218yescomplemented
167#3115C2212yescomplemented
168#3115C2212yescomplemented
169#3115C2214yescomplemented
170#3114C2214yescomplemented
171#3114C2214yescomplemented
172#3112C2212yescomplemented
173#3109C2212yescomplemented
174#3109C2214yescomplemented
175#3108C2212yescomplemented
176#3107C2212yescomplemented
177#3106C2214yescomplemented
178#3106C2212yescomplemented
179#3105C2212yescomplemented
180#3105C2214yescomplemented
181#3104C2211yescharacteristic, complemented
182#3103C2211yescharacteristic, complemented
183#3103C2211yescharacteristic, complemented
184#3103C2211yescharacteristic, complemented
185#3102C2214yescomplemented
186#3101C2211yescharacteristic, complemented
187#3100C2211yescharacteristic
188#3100C2211yescharacteristic, complemented
189#3100C2211yescharacteristic, complemented
190#3100C2214yescomplemented
191#3100C2214yescomplemented
192#3100C2214yescomplemented
193#3094C2214yescomplemented
194#3094C2212yescomplemented
195#3091C2214yescomplemented
196#3091C2212yescomplemented
197#3081C2218yescomplemented
198#3079C2212yescomplemented
199#3076C2212yescomplemented
200#3041C2218yescomplemented
201#3038C2212yescomplemented
202#3035C2212yescomplemented
203#3006C2212yescomplemented
204#3003C2214yescomplemented
205#3002C2212yescomplemented
206C2×#447C2214yescomplemented
207#2994C2214yescomplemented
208#2993C2214yescomplemented
209#2983C2211yescharacteristic, complemented
210#2982C2211yescharacteristic, complemented
211#2975C2211yescharacteristic, complemented
212#2974C2214yescomplemented
213#2972C2211yescharacteristic, complemented
214#2969C2214yescomplemented
215#2966C2214yescomplemented
216#2948C2218yescomplemented
217#2946C2218yescomplemented
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×#41—21no—
227C22×#41C2311yescharacteristic
228C23×Q8—21no—
229C23×D4—21no—
230C23×D4C2312yes—
231C2×AGL(1,ℤ/8)C2314yes—
232C2×AGL(1,ℤ/8)C2318yes—
233C2×#135C2314yes—
234C22×D8C2318yes—
235#563—24no—
236#562—24no—
237#560—24no—
238#560—24no—
239#559—22no—
240#559—22no—
241#559—22no—
242#559C2314yes—
243#559C2314yes—
244#559C2312yescomplemented
245#557C2312yescomplemented
246#556—22no—
247#556—22no—
248#556—22no—
249#556C2314yes—
250#556C2312yes—
251#556C2314yes—
252#556C2312yescomplemented
253#555—24no—
254#555—24no—
255#555—24no—
256#555C2312yes—
257#555C2318yes—
258#555C2318yes—
259#555C2314yescomplemented
260#554C2312yescomplemented
261#554C2314yescomplemented
262#553—24no—
263#553—22no—
264#553—22no—
265#553—22no—
266#553—24no—
267#553—24no—
268#553—24no—
269#553C2314yescomplemented
270#553C2314yescomplemented
271#552—22no—
272#552—22no—
273#552—22no—
274#551—28no—
275#551—28no—
276#551—28no—
277#551—28no—
278#551—24no—
279#551—24no—
280#551—24no—
281#551—24no—
282#550—22no—
283#550C2312yes—
284#550C2314yescomplemented
285#550C2312yescomplemented
286#550C2312yescomplemented
287D4×Q8—22no—
288D4×Q8—22no—
289D4×Q8—22no—
290D4×Q8C2314yes—
291D4×Q8C2314yes—
292D4×Q8C2312yescomplemented
293D4×Q8C2312yescomplemented
294#548—22no—
295#548—22no—
296#548—24no—
297#548—24no—
298#548—24no—
299#548—24no—
300#548—22no—
301#548—22no—
302#548—22no—
303#548—22no—
304#547—22no—
305#547—24no—
306#547C2312yes—
307#547C2312yes—
308#547C2312yes—
309#546—22no—
310#546—22no—
311#546—24no—
312#546—22no—
313#546—24no—
314#546—24no—
315#546—24no—
316#546—24no—
317#546—22no—
318#546—24no—
319#546—24no—
320#546—22no—
321#546—22no—
322#546—24no—
323#546—24no—
324#546—24no—
325#546—24no—
326#546C2318yes—
327#546C2318yes—
328#546C2314yescomplemented
329#546C2314yescomplemented
330D42—24no—
331D42—22no—
332D42—22no—
333D42—22no—
334D42C2314yes—
335D42C2314yes—
336D42C2312yes—
337D42C2312yes—
338D42C2314yescomplemented
339#544C2314yescomplemented
340#542—24no—
341#542—24no—
342#542—24no—
343#542C2318yes—
344#542C2318yes—
345#542C2314yescomplemented
346#542C2314yescomplemented
347#541—22no—
348#540—22no—
349#540—24no—
350#540—24no—
351#540C2314yescomplemented
352#540C2314yescomplemented
353#539—24no—
354#539—24no—
355#539—22no—
356#538—24no—
357#538—24no—
358#538—28no—
359#538—28no—
360#538—28no—
361#538—28no—
362#538—24no—
363#538—24no—
364#538—24no—
365#538—22no—
366#537—22no—
367#537—22no—
368#537—21no—
369#537—21no—
370#537—22no—
371#536—21no—
372#536—22no—
373#536—22no—
374#535—21no—
375#535—22no—
376#535—22no—
377#535C2314yescomplemented
378#534—24no—
379#534—22no—
380#533C2311yescharacteristic
381#533C2311yescharacteristic, complemented
382#533C2311yescharacteristic, complemented
383#532—22no—
384#532—21no—
385#532—21no—
386#532—21no—
387#532—21no—
388#532—21no—
389#532—21no—
390#532—21no—
391#532—21no—
392#532C2311yescharacteristic
393#532C2312yes—
394#532C2312yes—
395#532C2311yescharacteristic
396#532C2311yescharacteristic
397#532C2314yes—
398#532C2312yes—
399#532C2312yes—
400#532C2312yes—
401#532C2311yescharacteristic, complemented
402#532C2311yescharacteristic, complemented
403#532C2312yescomplemented
404#532C2311yescharacteristic, complemented
405#532C2311yescharacteristic, complemented
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2311yescharacteristic, complemented
409C2×#127C2311yescharacteristic
410C2×#127C2311yescharacteristic, complemented
411#529—24no—
412#529—24no—
413#529—24no—
414#529—24no—
415#529—22no—
416#529—22no—
417#529—21no—
418#529—21no—
419#529—21no—
420#529—21no—
421#529D412yes—
422#529D412yes—
423#529D412yes—
424#529D412yes—
425#529C2312yes—
426#529C2314yes—
427#529C2312yes—
428#529C2312yes—
429#529C2312yes—
430#529C2312yes—
431#529C2312yescomplemented
432C2×#126—22no—
433C2×#126—22no—
434C2×#126D412yes—
435C2×#125D411yescharacteristic
436C2×#124—21no—
437C2×#124—21no—
438C2×#124—24no—
439C2×#124—24no—
440C2×#124—24no—
441C2×#124—24no—
442C2×#124—22no—
443C2×#124—22no—
444C2×#124—22no—
445C2×#124—22no—
446C2×#124—21no—
447C2×#124—21no—
448C2×#124D411yescharacteristic
449C2×#124C2312yes—
450#525—21no—
451#525—21no—
452#525—22no—
453#525—22no—
454#525C2312yes—
455#525C2314yes—
456C2×#123—22no—
457C2×#123—22no—
458C2×#123—22no—
459C2×#123D412yes—
460C2×C22⋊Q8—22no—
461C2×C22⋊Q8—21no—
462C2×C22⋊Q8—22no—
463C2×C22⋊Q8—22no—
464C2×C22⋊Q8D411yescharacteristic
465C2×C22⋊Q8C2312yes—
466C2×#121—22no—
467C2×#121—21no—
468C2×#121—21no—
469C2×#121—22no—
470C2×#121—21no—
471C2×#121—22no—
472C2×#121D411yescharacteristic
473C2×#121C2312yes—
474C2×#121C2314yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#120—22no—
478C2×#120—22no—
479#520—21no—
480#520—21no—
481#520C2314yescomplemented
482#518—24no—
483#518—24no—
484#518—24no—
485#518C2318yes—
486#518C2318yes—
487#518C2314yescomplemented
488C4×#41—21no—
489C4×#41—21no—
490C4×#41—21no—
491C4×#41—21no—
492C4×#41—21no—
493C4×#41—21no—
494C4×#41C2312yes—
495C4×#41C2312yes—
496C4×#41C2312yes—
497C4×#41C2312yes—
498C4×#41C2312yescomplemented
499C2×C4×Q8—21no—
500C2×C4×Q8C2311yescharacteristic
501C2×C4×Q8C2311yescharacteristic
502C2×C4×Q8C2311yescharacteristic
503C2×C4×D4—21no—
504C2×C4×D4—21no—
505C2×C4×D4—22no—
506C2×C4×D4—22no—
507C2×C4×D4—21no—
508C2×C4×D4—21no—
509C2×C4×D4—21no—
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2312yes—
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2312yes—
517C2×C4×D4C2312yescomplemented
518C2×#117—22no—
519C2×#117—21no—
520C2×#117C2311yescharacteristic
521C2×#117C2312yes—
522C2×#117C2312yes—
523C22×C22⋊C4—22no—
524C22×C22⋊C4—22no—
525C22×C22⋊C4—22no—
526C22×C42—21no—
527C22×C42C2311yescharacteristic
528#501C2318yescomplemented
529#500C2318yescomplemented
530#500C2312yescomplemented
531#500C2312yescomplemented
532#500C2312yescomplemented
533#498C2312yescomplemented
534#496C2318yescomplemented
535#495C2318yescomplemented
536#493C2312yes—
537#493C2312yes—
538#493C2312yes—
539#492C2312yes—
540#489C2318yescomplemented
541#489C2318yescomplemented
542#488C2318yescomplemented
543#487C2312yescomplemented
544#486C2312yes—
545#486C2312yes—
546#486C2312yes—
547#486C2312yes—
548#486C2312yescomplemented
549#486C2318yescomplemented
550#486C2312yescomplemented
551#486C2312yescomplemented
552#485C2318yescomplemented
553#485C2318yescomplemented
554#485C2314yescomplemented
555#484C2312yes—
556#484C2318yescomplemented
557#483C2312yes—
558#483C2314yes—
559#482C2318yes—
560#482C2318yescomplemented
561#482C2314yescomplemented
562#482C2318yescomplemented
563#482C2318yescomplemented
564#482C2314yescomplemented
565#482C2314yescomplemented
566#482C2318yescomplemented
567#481C2312yes—
568#481C2312yes—
569#481C2312yes—
570#480C2314yes—
571#480C2312yes—
572#480C2318yes—
573#480C2312yes—
574#480C2312yes—
575#480C2314yes—
576#480C2314yes—
577#480C2318yescomplemented
578#479C2314yescomplemented
579#478C2314yes—
580#478C2318yes—
581#478C2318yescomplemented
582#478C2318yescomplemented
583#477C2312yescomplemented
584#477C2314yescomplemented
585#477C2318yescomplemented
586#476C2312yes—
587#476C2314yes—
588#476C2318yescomplemented
589#476C2318yescomplemented
590#475C2312yescomplemented
591#475C2312yescomplemented
592#475C2312yescomplemented
593#475C2314yescomplemented
594#474C2312yes—
595#474C2312yes—
596#474C2312yes—
597#474C2318yes—
598#474C2318yescomplemented
599#474C2314yescomplemented
600#474C2318yescomplemented
601#474C2318yescomplemented
602#474C2314yescomplemented
603#474C2314yescomplemented
604#469C2318yes—
605#469C2318yescomplemented
606#468C2318yes—
607#468C2318yescomplemented
608#468C2318yescomplemented
609#468C2318yescomplemented
610#467C2318yescomplemented
611#466C2318yes—
612#466C2318yes—
613#466C2318yescomplemented
614#466C2318yescomplemented
615#465C2318yescomplemented
616#464C2314yescomplemented
617#464C2318yescomplemented
618#463C2314yes—
619#463C2318yes—
620#463C2318yescomplemented
621#463C2318yescomplemented
622#463C2318yescomplemented
623#463C2318yescomplemented
624#463C2318yescomplemented
625#462C2312yescomplemented
626#461C2312yes—
627#460C2314yes—
628#460C2312yescomplemented
629#460C2312yescomplemented
630#460C2312yescomplemented
631#460C2314yescomplemented
632#459C2312yes—
633#459C2312yes—
634#459C2312yes—
635#459C2318yes—
636#459C2314yes—
637#459C2314yes—
638#459C2314yes—
639#459C2314yes—
640#459C2318yescomplemented
641#459C2318yescomplemented
642#452C2314yes—
643#452C2318yescomplemented
644#451C2312yes—
645#450C2312yes—
646#450C2314yes—
647#450C2318yes—
648#450C2318yescomplemented
649#449C2314yes—
650#449C2314yes—
651#449C2314yes—
652#449C2318yes—
653#449C2318yescomplemented
654#448C2312yes—
655#448C2312yes—
656#448C2312yes—
657#447C2312yes—
658#447C2312yes—
659#447C2312yes—
660#447C2314yes—
661#447C2314yes—
662#447C2314yes—
663#447C2318yes—
664#447C2318yes—
665#447C2318yes—
666#447C2318yes—
667#447C2318yescomplemented
668#446C2314yescomplemented
669#446C2314yescomplemented
670C8×Q8C2314yescomplemented
671C8×Q8C2314yescomplemented
672#442C2314yes—
673#442C2314yes—
674#442C2318yes—
675#442C2318yescomplemented
676#442C2318yescomplemented
677#442C2318yescomplemented
678#440C2318yes—
679#440C2314yescomplemented
680#440C2314yescomplemented
681#440C2318yescomplemented
682C4×Q16C2314yescomplemented
683C4×Q16C2314yescomplemented
684C4×SD16C2314yes—
685C4×SD16C2314yes—
686C4×SD16C2314yescomplemented
687C4×SD16C2314yescomplemented
688C4×SD16C2314yescomplemented
689C4×SD16C2318yescomplemented
690C4×SD16C2314yescomplemented
691C4×D8C2314yes—
692C4×D8C2314yes—
693C4×D8C2314yes—
694C4×D8C2318yes—
695C4×D8C2318yes—
696C4×D8C2314yes—
697C4×D8C2318yescomplemented
698C4×D8C2318yescomplemented
699C4×D8C2318yescomplemented
700#436C2314yes—
701#436C2314yes—
702#436C2318yescomplemented
703#435C2318yescomplemented
704#435C2318yescomplemented
705C8×D4C2314yes—
706C8×D4C2314yes—
707C8×D4C2318yescomplemented
708#433C2318yescomplemented
709#433C2318yescomplemented
710#432C2312yes—
711#432C2314yes—
712#432C2312yescomplemented
713#431C2311yescharacteristic
714#431C2312yes—
715#431C2311yescharacteristic
716#431C2311yescharacteristic
717#431C2314yes—
718#431C2311yescharacteristic
719#431C2312yescomplemented
720#431C2312yescomplemented
721#431C2312yescomplemented
722#428C2314yescomplemented
723#428C2318yescomplemented
724#427C2314yescomplemented
725#427C2318yescomplemented
726#424C2318yescomplemented
727#423C2312yescomplemented
728C2×C4⋊C8C2312yescomplemented
729#418C2318yes—
730#418C2314yescomplemented
731#418C2318yescomplemented
732#417C2314yes—
733#416C2314yes—
734#416C2314yescomplemented
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—22no—
750C2×#41—22no—
751C2×#41—21no—
752C2×#41—21no—
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—21no—
764C2×#41—21no—
765C2×#41—24no—
766C2×#41—44no—
767C2×#41—84no—
768C2×#41—84no—
769C2×#41C2412yes—
770C2×#41C2412yes—
771C2×#41C2412yes—
772C2×#41C2414yes—
773C22×Q8—22no—
774C22×Q8—24no—
775C22×Q8—24no—
776C22×Q8—22no—
777C22×Q8—21no—
778C22×Q8—22no—
779C22×Q8—21no—
780C22×Q8—84no—
781C22×Q8C2×D411yescharacteristic
782C22×Q8C2411yescharacteristic
783C22×D4—21no—
784C22×D4—22no—
785C22×D4—22no—
786C22×D4—22no—
787C22×D4—24no—
788C22×D4—24no—
789C22×D4—22no—
790C22×D4—24no—
791C22×D4—24no—
792C22×D4—22no—
793C22×D4—22no—
794C22×D4—21no—
795C22×D4—24no—
796C22×D4—21no—
797C22×D4—21no—
798C22×D4—21no—
799C22×D4—48no—
800C22×D4—84no—
801C22×D4C2×D411yescharacteristic
802C22×D4C2×D412yes—
803C22×D4C2411yescharacteristic
804C22×D4C2418yes—
805C22×D4C2412yes—
806C22×D4C2412yes—
807C22×D4C2414yes—
808C23×C4—21no—
809C23×C4—21no—
810C23×C4—21no—
811C23×C4—22no—
812C23×C4—22no—
813C23×C4—22no—
814C23×C4—22no—
815C23×C4C2×D411yescharacteristic
816C23×C4C2×D411yescharacteristic
817C23×C4C2412yes—
818C23×C4C2411yescharacteristic
819AGL(1,ℤ/8)—48no—
820AGL(1,ℤ/8)—416no—
821#135—48no—
822C2×Q16C2414yes—
823C2×SD16C2414yes—
824C2×SD16C2414yes—
825C2×SD16C2414yes—
826C2×SD16C2414yes—
827C2×SD16C2418yes—
828C2×D8—416no—
829C2×D8C2414yes—
830C2×D8C2414yes—
831C2×D8C2414yes—
832C2×D8C2418yes—
833C2×D8C2418yes—
834C2×D8C2418yes—
835C2×M16C2414yes—
836C2×M16C2418yes—
837C22×C8C2418yes—
838C22×C8C2414yes—
839C4⋊Q8—22no—
840C4⋊Q8—24no—
841C4⋊Q8—21no—
842C4⋊Q8—21no—
843C4⋊Q8—24no—
844C4⋊Q8—21no—
845C4⋊Q8—21no—
846C4⋊Q8C2411yescharacteristic
847C4⋊Q8C2412yes—
848C4⋊Q8C2412yes—
849C4⋊Q8C2418yes—
850C4⋊Q8C2412yes—
851C4⋊Q8C2411yescharacteristic
852C4⋊Q8C2411yescharacteristic
853C4⋊Q8C2411yescharacteristic
854C4⋊Q8C2414yes—
855C4⋊Q8C2411yescharacteristic
856#127—22no—
857#127—24no—
858#127—21no—
859#127—21no—
860#127—21no—
861#127—21no—
862#127C2412yes—
863#127C2412yes—
864#127C2412yes—
865#127C2411yescharacteristic
866#127C2411yescharacteristic
867#127C2411yescharacteristic
868#127C2414yes—
869#126—28no—
870#126—28no—
871#126—24no—
872#126—24no—
873#126—24no—
874#126—24no—
875#126—24no—
876#126—28no—
877#126—28no—
878#126—24no—
879#126—22no—
880#126—22no—
881#126—24no—
882#126C2×D414yes—
883#126C2×D414yes—
884#126C2×D414yes—
885#126C2×D414yes—
886#125—24no—
887#125—24no—
888#125—24no—
889#125—21no—
890#125—21no—
891#125C2×D412yes—
892#125C2×D412yes—
893#125C2×D412yes—
894#125C2×D412yes—
895#125C2412yes—
896#125C2414yes—
897#124—24no—
898#124—24no—
899#124—22no—
900#124—24no—
901#124—24no—
902#124—22no—
903#124—28no—
904#124—28no—
905#124—28no—
906#124—28no—
907#124—28no—
908#124—28no—
909#124—24no—
910#124—24no—
911#124—24no—
912#124—24no—
913#124—24no—
914#124—22no—
915#124—22no—
916#124—22no—
917#124—22no—
918#124—21no—
919#124—21no—
920#124—21no—
921#124—21no—
922#124—22no—
923#124—22no—
924#124—24no—
925#124—21no—
926#124—21no—
927#124—24no—
928#124C2×D412yes—
929#124C2×D412yes—
930#124C2×D412yes—
931#124C2×D412yes—
932#124C2418yes—
933#124C2412yes—
934#124C2414yes—
935#123—22no—
936#123—22no—
937#123—22no—
938#123—24no—
939#123—24no—
940#123—28no—
941#123—28no—
942#123—28no—
943#123—28no—
944#123—24no—
945#123—24no—
946#123—24no—
947#123—24no—
948#123—24no—
949#123—24no—
950#123—24no—
951#123—28no—
952#123—28no—
953#123—24no—
954#123—24no—
955#123—24no—
956#123—24no—
957#123—24no—
958#123—24no—
959#123—24no—
960#123C2×D414yes—
961#123C2×D414yes—
962#123C2×D414yes—
963#123C2×D414yes—
964C22⋊Q8—22no—
965C22⋊Q8—22no—
966C22⋊Q8—21no—
967C22⋊Q8—24no—
968C22⋊Q8—21no—
969C22⋊Q8—21no—
970C22⋊Q8—21no—
971C22⋊Q8—24no—
972C22⋊Q8—24no—
973C22⋊Q8—22no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—22no—
980C22⋊Q8—22no—
981C22⋊Q8—22no—
982C22⋊Q8—24no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8C2×D412yes—
991C22⋊Q8C2×D412yes—
992C22⋊Q8C2×D412yes—
993C22⋊Q8C2×D412yes—
994C22⋊Q8C2418yes—
995C22⋊Q8C2412yes—
996C22⋊Q8C2412yes—
997C22⋊Q8C2414yes—
998#121—22no—
999#121—28no—
1000#121—28no—
1001#121—24no—
1002#121—22no—
1003#121—24no—
1004#121—24no—
1005#121—21no—
1006#121—21no—
1007#121—21no—
1008#121—22no—
1009#121—22no—
1010#121—22no—
1011#121—22no—
1012#121—22no—
1013#121—21no—
1014#121—21no—
1015#121—22no—
1016#121—22no—
1017#121—22no—
1018#121—22no—
1019#121—22no—
1020#121—24no—
1021#121—24no—
1022#121—24no—
1023#121—21no—
1024#121—21no—
1025#121—21no—
1026#121—24no—
1027#121—24no—
1028#121—24no—
1029#121—22no—
1030#121—22no—
1031#121—22no—
1032#121—22no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—24no—
1037#121—24no—
1038#121—28no—
1039#121—28no—
1040#121—24no—
1041#121—24no—
1042#121—24no—
1043#121—24no—
1044#121—24no—
1045#121—24no—
1046#121—24no—
1047#121—24no—
1048#121—24no—
1049#121C2×D412yes—
1050#121C2×D412yes—
1051#121C2×D412yes—
1052#121C2×D412yes—
1053#121C2412yes—
1054#121C2412yes—
1055#121C2412yes—
1056#121C2414yes—
1057#121C2414yes—
1058#121C2412yes—
1059#121C2412yes—
1060#121C2414yes—
1061#121C2414yes—
1062#121C2418yes—
1063#121C2412yes—
1064#121C2414yes—
1065#120—22no—
1066#120—24no—
1067#120—28no—
1068#120—28no—
1069#120—24no—
1070#120—24no—
1071#120—28no—
1072#120—28no—
1073#120—24no—
1074#120—24no—
1075#120—24no—
1076#120—24no—
1077#120—24no—
1078#120—24no—
1079C4×Q8—24no—
1080C4×Q8—24no—
1081C4×Q8—22no—
1082C4×Q8—22no—
1083C4×Q8—21no—
1084C4×Q8—21no—
1085C4×Q8—21no—
1086C4×Q8—21no—
1087C4×Q8—21no—
1088C4×Q8—21no—
1089C4×Q8—21no—
1090C4×Q8—21no—
1091C4×Q8C2×D412yes—
1092C4×Q8C2×D412yes—
1093C4×Q8C2412yes—
1094C4×Q8C2412yes—
1095C4×Q8C2412yes—
1096C4×Q8C2412yes—
1097C4×Q8C2412yes—
1098C4×Q8C2412yes—
1099C4×Q8C2414yes—
1100C4×Q8C2412yes—
1101C4×Q8C2412yes—
1102C4×D4—24no—
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—22no—
1114C4×D4—22no—
1115C4×D4—22no—
1116C4×D4—22no—
1117C4×D4—24no—
1118C4×D4—24no—
1119C4×D4—24no—
1120C4×D4—28no—
1121C4×D4—28no—
1122C4×D4—28no—
1123C4×D4—28no—
1124C4×D4—24no—
1125C4×D4—24no—
1126C4×D4—24no—
1127C4×D4—24no—
1128C4×D4—24no—
1129C4×D4—22no—
1130C4×D4—22no—
1131C4×D4—24no—
1132C4×D4—24no—
1133C4×D4—24no—
1134C4×D4—24no—
1135C4×D4—21no—
1136C4×D4—21no—
1137C4×D4—22no—
1138C4×D4—22no—
1139C4×D4—22no—
1140C4×D4—22no—
1141C4×D4—22no—
1142C4×D4—22no—
1143C4×D4—21no—
1144C4×D4—21no—
1145C4×D4—21no—
1146C4×D4—21no—
1147C4×D4—21no—
1148C4×D4—21no—
1149C4×D4—22no—
1150C4×D4—22no—
1151C4×D4—24no—
1152C4×D4—24no—
1153C4×D4—22no—
1154C4×D4—22no—
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—21no—
1158C4×D4—21no—
1159C4×D4—24no—
1160C4×D4C2×D414yes—
1161C4×D4C2×D414yes—
1162C4×D4C2×D412yes—
1163C4×D4C2×D412yes—
1164C4×D4C2412yes—
1165C4×D4C2412yes—
1166C4×D4C2412yes—
1167C4×D4C2412yes—
1168C4×D4C2414yes—
1169C4×D4C2414yes—
1170C4×D4C2418yes—
1171C4×D4C2418yes—
1172C4×D4C2412yes—
1173C4×D4C2412yes—
1174C4×D4C2412yes—
1175C4×D4C2412yes—
1176C4×D4C2412yes—
1177C4×D4C2412yes—
1178C4×D4C2414yes—
1179C4×D4C2414yes—
1180C4×D4C2414yes—
1181C4×D4C2412yes—
1182C4×D4C2412yes—
1183C4×D4C2414yes—
1184C4×D4C2414yes—
1185#117—21no—
1186#117—21no—
1187#117—24no—
1188#117—21no—
1189#117—21no—
1190#117—28no—
1191#117—28no—
1192#117—24no—
1193#117—22no—
1194#117—22no—
1195#117—24no—
1196#117—22no—
1197#117—22no—
1198#117—22no—
1199#117—22no—
1200#117—22no—
1201#117—22no—
1202#117—22no—
1203#117—24no—
1204#117C2×D414yes—
1205#117C2×D414yes—
1206#117C2412yes—
1207#117C2412yes—
1208#117C2418yes—
1209#117C2412yes—
1210#117C2414yes—
1211#117C2414yes—
1212#117C2414yes—
1213C2×C4⋊C4—21no—
1214C2×C4⋊C4—21no—
1215C2×C4⋊C4—22no—
1216C2×C4⋊C4—21no—
1217C2×C4⋊C4—21no—
1218C2×C4⋊C4—22no—
1219C2×C4⋊C4—22no—
1220C2×C4⋊C4—22no—
1221C2×C4⋊C4—24no—
1222C2×C4⋊C4C2×D412yes—
1223C2×C4⋊C4C2×D412yes—
1224C2×C4⋊C4C2×D412yes—
1225C2×C4⋊C4C2×D411yescharacteristic
1226C2×C4⋊C4C2×D411yescharacteristic
1227C2×C4⋊C4C2×D412yes—
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2414yes—
1233C2×C22⋊C4—22no—
1234C2×C22⋊C4—22no—
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—21no—
1237C2×C22⋊C4—22no—
1238C2×C22⋊C4—22no—
1239C2×C22⋊C4—22no—
1240C2×C22⋊C4—22no—
1241C2×C22⋊C4—22no—
1242C2×C22⋊C4—21no—
1243C2×C22⋊C4—22no—
1244C2×C22⋊C4—22no—
1245C2×C22⋊C4—22no—
1246C2×C22⋊C4—22no—
1247C2×C22⋊C4—24no—
1248C2×C22⋊C4—28no—
1249C2×C22⋊C4—28no—
1250C2×C22⋊C4—28no—
1251C2×C22⋊C4—28no—
1252C2×C22⋊C4—28no—
1253C2×C22⋊C4—28no—
1254C2×C22⋊C4—24no—
1255C2×C22⋊C4—24no—
1256C2×C22⋊C4—24no—
1257C2×C22⋊C4—24no—
1258C2×C22⋊C4C2×D412yes—
1259C2×C22⋊C4C2×D412yes—
1260C2×C22⋊C4C2×D412yes—
1261C2×C22⋊C4C2×D412yes—
1262C2×C22⋊C4C2×D412yes—
1263C2×C42—21no—
1264C2×C42—22no—
1265C2×C42—21no—
1266C2×C42—21no—
1267C2×C42—22no—
1268C2×C42—22no—
1269C2×C42—22no—
1270C2×C42—22no—
1271C2×C42—22no—
1272C2×C42C2×D411yescharacteristic
1273C2×C42C2×D411yescharacteristic
1274C2×C42C2×D411yescharacteristic
1275C2×C42C2×D411yescharacteristic
1276C2×C42C2×D411yescharacteristic
1277C2×C42C2×D411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2412yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285#107C2414yes—
1286#107C2418yes—
1287#107C2414yes—
1288#107C2414yes—
1289#107C2414yes—
1290#107C2418yes—
1291#107C2418yes—
1292#106C2414yes—
1293#106C2414yes—
1294#106C2414yes—
1295#106C2418yes—
1296#106C2414yes—
1297C4⋊C8C2414yes—
1298C4⋊C8C2412yes—
1299C4⋊C8C2412yes—
1300C4⋊C8C2414yes—
1301C4⋊C8C2412yes—
1302C4⋊C8C2412yes—
1303C4⋊C8C2418yes—
1304C4⋊C8C2418yes—
1305#103C2414yes—
1306#103C2414yes—
1307#103C2414yes—
1308#103C2414yes—
1309#103C2418yes—
1310#103C2414yes—
1311#103C2414yes—
1312#102C2414yes—
1313#102C2414yes—
1314#102C2418yes—
1315#102C2418yes—
1316#102C2414yes—
1317#102C2414yes—
1318#102C2414yes—
1319#102C2418yes—
1320#102C2414yes—
1321#102C2414yes—
1322#102C2418yes—
1323#102C2418yes—
1324#102C2414yes—
1325#102C2414yes—
1326#102C2414yes—
1327#102C2418yes—
1328#102C2418yes—
1329C22⋊C8C2412yes—
1330C22⋊C8C2412yes—
1331C22⋊C8C2412yes—
1332C22⋊C8C2414yes—
1333C22⋊C8C2418yes—
1334C22⋊C8C2412yes—
1335C22⋊C8C2414yes—
1336C22⋊C8C2418yes—
1337#97C2414yes—
1338#97C2418yes—
1339C4×C8C2414yes—
1340C4×C8C2412yes—
1341C4×C8C2412yes—
1342C4×C8C2412yes—
1343C4×C8C2412yes—
1344C4×C8C2418yes—
1345C24—21no—
1346C24—22no—
1347C24—28no—
1348C24—22no—
1349C24—24no—
1350C24—48no—
1351C24—84no—
1352C24—84no—
1353C24C22×D412yes—
1354C24C22×D411yescharacteristic
1355#41—24no—
1356#41—24no—
1357#41—42no—
1358#41—42no—
1359#41—44no—
1360#41—48no—
1361#41—44no—
1362#41—44no—
1363#41—44no—
1364#41—44no—
1365#41—44no—
1366#41—84no—
1367#41—84no—
1368#41—88no—
1369#41—84no—
1370#41—84no—
1371#41—84no—
1372#41—84no—
1373#41—82no—
1374#41—82no—
1375#41—84no—
1376#41—84no—
1377#41—82no—
1378#41—84no—
1379#41—84no—
1380C2×Q8—24no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—22no—
1384C2×Q8—21no—
1385C2×Q8—22no—
1386C2×Q8—21no—
1387C2×Q8—21no—
1388C2×Q8—24no—
1389C2×Q8—28no—
1390C2×Q8—22no—
1391C2×Q8—42no—
1392C2×Q8—44no—
1393C2×Q8—84no—
1394C2×Q8—82no—
1395C2×Q8—88no—
1396C2×Q8—88no—
1397C2×Q8—84no—
1398C2×Q8—84no—
1399C2×Q8C22×D412yes—
1400C2×Q8C22×D412yes—
1401C2×Q8C2512yes—
1402C2×Q8C2512yes—
1403C2×D4—24no—
1404C2×D4—216no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—24no—
1412C2×D4—22no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—22no—
1417C2×D4—24no—
1418C2×D4—28no—
1419C2×D4—24no—
1420C2×D4—22no—
1421C2×D4—24no—
1422C2×D4—21no—
1423C2×D4—28no—
1424C2×D4—22no—
1425C2×D4—21no—
1426C2×D4—22no—
1427C2×D4—21no—
1428C2×D4—22no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—22no—
1432C2×D4—21no—
1433C2×D4—22no—
1434C2×D4—24no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—24no—
1438C2×D4—21no—
1439C2×D4—24no—
1440C2×D4—22no—
1441C2×D4—48no—
1442C2×D4—44no—
1443C2×D4—48no—
1444C2×D4—44no—
1445C2×D4—416no—
1446C2×D4—48no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—82no—
1450C2×D4—88no—
1451C2×D4—88no—
1452C2×D4—84no—
1453C2×D4—84no—
1454C2×D4—82no—
1455C2×D4—84no—
1456C2×D4—84no—
1457C2×D4—82no—
1458C2×D4—82no—
1459C2×D4—84no—
1460C2×D4—88no—
1461C2×D4—88no—
1462C2×D4C22×D412yes—
1463C2×D4C22×D412yes—
1464C2×D4C22×D414yes—
1465C2×D4C22×D414yes—
1466C2×D4C2512yes—
1467C2×D4C2514yes—
1468C2×D4C2512yes—
1469C2×D4C2512yes—
1470C2×D4C2512yes—
1471C22×C4—24no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—28no—
1490C22×C4—28no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—44no—
1500C22×C4—42no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—84no—
1504C22×C4—84no—
1505C22×C4—84no—
1506C22×C4—81no—
1507C22×C4—82no—
1508C22×C4—84no—
1509C22×C4C22×D411yescharacteristic
1510C22×C4C22×D411yescharacteristic
1511C22×C4C22×D411yescharacteristic
1512C22×C4C22×D411yescharacteristic
1513C22×C4C22×D411yescharacteristic
1514C22×C4C22×D412yes—
1515C22×C4C22×D411yescharacteristic
1516C22×C4C22×D411yescharacteristic
1517C22×C4C22×D412yes—
1518C22×C4C22×D411yescharacteristic
1519C22×C4C22×D411yescharacteristic
1520C22×C4C22×D411yescharacteristic
1521C22×C4C22×D411yescharacteristic
1522C22×C4C22×D411yescharacteristic
1523C22×C4C22×D411yescharacteristic
1524C22×C4C22×D411yescharacteristic
1525C22×C4C22×D412yes—
1526C22×C4C22×D414yes—
1527C22×C4C22×D411yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2514yes—
1532Q16—44no—
1533SD16—28no—
1534SD16—44no—
1535SD16—44no—
1536SD16—44no—
1537SD16—48no—
1538D8—28no—
1539D8—28no—
1540D8—28no—
1541D8—48no—
1542D8—48no—
1543D8—48no—
1544M16—44no—
1545M16—48no—
1546C2×C8—48no—
1547C2×C8—44no—
1548C2×C8C2514yes—
1549C2×C8C2514yes—
1550C2×C8C2514yes—
1551C2×C8C2514yes—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—28no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—21no—
1564C4⋊C4—22no—
1565C4⋊C4—21no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—28no—
1570C4⋊C4—21no—
1571C4⋊C4—22no—
1572C4⋊C4—21no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—22no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—22no—
1583C4⋊C4C22×D412yes—
1584C4⋊C4C22×D412yes—
1585C4⋊C4C22×D414yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C22×D414yes—
1590C4⋊C4C22×D414yes—
1591C4⋊C4C22×D412yes—
1592C4⋊C4C22×D412yes—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C2512yes—
1596C4⋊C4C2512yes—
1597C4⋊C4C2512yes—
1598C4⋊C4C2512yes—
1599C4⋊C4C2514yes—
1600C4⋊C4C2512yes—
1601C4⋊C4C2512yes—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—22no—
1605C22⋊C4—24no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—22no—
1614C22⋊C4—24no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—22no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—22no—
1624C22⋊C4—22no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—22no—
1628C22⋊C4—22no—
1629C22⋊C4—22no—
1630C22⋊C4—28no—
1631C22⋊C4—22no—
1632C22⋊C4—22no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—22no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—22no—
1639C22⋊C4—24no—
1640C22⋊C4—22no—
1641C22⋊C4—22no—
1642C22⋊C4—22no—
1643C22⋊C4—24no—
1644C22⋊C4—22no—
1645C22⋊C4—24no—
1646C22⋊C4C22×D414yes—
1647C22⋊C4C22×D414yes—
1648C22⋊C4C22×D414yes—
1649C22⋊C4C22×D414yes—
1650C22⋊C4C22×D414yes—
1651C22⋊C4C22×D414yes—
1652C22⋊C4C22×D414yes—
1653C22⋊C4C22×D414yes—
1654C22⋊C4C22×D414yes—
1655C22⋊C4C22×D414yes—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—28no—
1664C42—22no—
1665C42—22no—
1666C42—24no—
1667C42—24no—
1668C42C22×D411yescharacteristic
1669C42C22×D411yescharacteristic
1670C42C22×D411yescharacteristic
1671C42C22×D411yescharacteristic
1672C42C22×D411yescharacteristic
1673C42C22×D411yescharacteristic
1674C42C22×D411yescharacteristic
1675C42C22×D411yescharacteristic
1676C42C22×D411yescharacteristic
1677C42C22×D411yescharacteristic
1678C42C22×D411yescharacteristic
1679C42C22×D411yescharacteristic
1680C42C22×D414yes—
1681C42C2511yescharacteristic
1682C42C2511yescharacteristic
1683C42C2511yescharacteristic
1684C42C2514yes—
1685C42C2511yescharacteristic
1686C23—24no—
1687C23—22no—
1688C23—22no—
1689C23—24no—
1690C23—24no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—41no—
1695C23—42no—
1696C23—41no—
1697C23—42no—
1698C23—416no—
1699C23—42no—
1700C23—44no—
1701C23—44no—
1702C23—44no—
1703C23—42no—
1704C23—44no—
1705C23—82no—
1706C23—82no—
1707C23—88no—
1708C23—88no—
1709C23—84no—
1710C23—84no—
1711C23—84no—
1712C23—1616no—
1713C23C23×D414yes—
1714C23C23×D411yescharacteristic
1715C23C23×D411yescharacteristic
1716C23C23×D411yescharacteristic
1717Q8—24no—
1718Q8—24no—
1719Q8—24no—
1720Q8—22no—
1721Q8—22no—
1722Q8—42no—
1723Q8—44no—
1724Q8—44no—
1725Q8—42no—
1726Q8—42no—
1727Q8—42no—
1728Q8—88no—
1729Q8—84no—
1730Q8—82no—
1731Q8—81no—
1732D4—24no—
1733D4—22no—
1734D4—24no—
1735D4—24no—
1736D4—24no—
1737D4—28no—
1738D4—24no—
1739D4—24no—
1740D4—44no—
1741D4—44no—
1742D4—416no—
1743D4—44no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—82no—
1756D4—84no—
1757D4—82no—
1758D4—82no—
1759D4—81no—
1760D4—81no—
1761D4—82no—
1762D4—84no—
1763D4—82no—
1764D4—81no—
1765D4—84no—
1766D4—84no—
1767D4—88no—
1768D4—84no—
1769D4—84no—
1770D4—82no—
1771D4—82no—
1772D4—84no—
1773D4—84no—
1774D4—82no—
1775D4—84no—
1776D4#58514yes—
1777C2×C4—22no—
1778C2×C4—24no—
1779C2×C4—22no—
1780C2×C4—28no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—41no—
1797C2×C4—44no—
1798C2×C4—42no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—42no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—42no—
1813C2×C4—44no—
1814C2×C4—44no—
1815C2×C4—44no—
1816C2×C4—44no—
1817C2×C4—44no—
1818C2×C4—44no—
1819C2×C4—82no—
1820C2×C4—82no—
1821C2×C4—88no—
1822C2×C4—88no—
1823C2×C4—82no—
1824C2×C4—82no—
1825C2×C4—84no—
1826C2×C4—84no—
1827C2×C4—84no—
1828C2×C4—84no—
1829C2×C4—84no—
1830C2×C4—82no—
1831C2×C4—84no—
1832C2×C4—82no—
1833C2×C4—82no—
1834C2×C4—84no—
1835C2×C4#57614yes—
1836C2×C4C23×D411yescharacteristic
1837C2×C4C23×D411yescharacteristic
1838C2×C4C23×D414yes—
1839C2×C4C23×D411yescharacteristic
1840C2×C4C23×D411yescharacteristic
1841C2×C4C23×D414yes—
1842C2×C4C23×D411yescharacteristic
1843C2×C4C23×D411yescharacteristic
1844C2×C4C23×D411yescharacteristic
1845C2×C4C23×D411yescharacteristic
1846C2×C4C23×D411yescharacteristic
1847C2×C4C23×D414yes—
1848C2×C4C23×D411yescharacteristic
1849C2×C4C23×D411yescharacteristic
1850C2×C4C2611yescharacteristic
1851C8—24no—
1852C8—24no—
1853C8—24no—
1854C8—24no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—24no—
1860C22—24no—
1861C22—21no—
1862C22—21no—
1863C22—24no—
1864C22—21no—
1865C22—21no—
1866C22—24no—
1867C22—48no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—44no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—44no—
1878C22—44no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—82no—
1883C22—84no—
1884C22—88no—
1885C22—1616no—
1886C22—164no—
1887C22—324no—
1888C22C2×#57612yes—
1889C22C24×D411yescharacteristic
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—24no—
1894C4—21no—
1895C4—21no—
1896C4—24no—
1897C4—21no—
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—24no—
1902C4—42no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—42no—
1907C4—42no—
1908C4—44no—
1909C4—42no—
1910C4—42no—
1911C4C2×#57612yes—
1912C4C2×#57612yes—
1913C4C2×#58512yes—
1914C2—22no—
1915C2—41no—
1916C2—41no—
1917C2—44no—
1918C2—44no—
1919C2—84no—
1920C2—82no—
1921C2—82no—
1922C2—82no—
1923C2#6281111yescharacteristic
1924C2C22×#57611yescharacteristic
1925C2#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×#3514C2semidirect
3. #62215C2semidirect
4. #62180C2semidirect
5. #62067C2semidirect
6. #62031C2semidirect
7. #61891C2semidirect
8. #61885C2semidirect
9. #61827C2semidirect
10. #61817C2semidirect
11. #61740C2semidirect
12. #61722C2semidirect
13. #61701C2semidirect
14. #61592C2semidirect
15. #61582C2semidirect
16. #61559C2semidirect
17. #61553C2semidirect
18. #61539C2semidirect
19. #61494C2semidirect
20. #61475C2semidirect
21. #60976C2semidirect
22. #60965C2semidirect
23. #60940C2semidirect
24. #60578C2semidirect
25. #60561C2semidirect
26. #60536C2semidirect
27. #60290C2semidirect
30. #3552C22semidirect
32. #3547C22semidirect
33. #3546C22semidirect
34. #3543C22semidirect
36. #3520C22semidirect
37. #3519C22semidirect
38. #3519C22semidirect
39. #3517C22semidirect
45. #3514C22semidirect
46. #3514C22semidirect
47. #3514C22semidirect
48. #3514C22semidirect
49. #3514C22semidirect
51. #3507C22semidirect
55. #3497C22semidirect
57. #3494C22semidirect
60. C2×#559C22semidirect
61. C2×#556C22semidirect
62. C2×#555C22semidirect
64. C2×D4×Q8C22semidirect
67. C2×#546C22semidirect
68. C2×D42C22semidirect
69. C2×#542C22semidirect
71. #3444C22semidirect
72. C2×#532C22semidirect
73. C2×#532C22semidirect
77. C2×#518C22semidirect
78. C2×C4×#41C22semidirect
79. #3399C22semidirect
80. #3399C22semidirect
81. #3396C22semidirect
82. #3394C22semidirect
83. #3386C22semidirect
84. #3384C22semidirect
85. Q8×D8C22semidirect
86. Q8×D8C22semidirect
87. #3373C22semidirect
88. #3373C22semidirect
89. #3373C22semidirect
90. #3367C22semidirect
91. #3365C22semidirect
92. #3361C22semidirect
93. #3358C22semidirect
94. #3358C22semidirect
95. #3357C22semidirect
96. #3353C22semidirect
97. #3353C22semidirect
98. #3347C22semidirect
99. #3347C22semidirect
100. #3342C22semidirect
101. #3341C22semidirect
102. #3340C22semidirect
103. #3325C22semidirect
104. #3325C22semidirect
105. #3324C22semidirect
106. #3324C22semidirect
107. #3324C22semidirect
108. #3322C22semidirect
109. #3319C22semidirect
110. #3319C22semidirect
111. #3319C22semidirect
112. #3314C22semidirect
113. #3305C22semidirect
114. #3304C22semidirect
115. #3302C22semidirect
116. #3297C22semidirect
117. #3294C22semidirect
118. #3294C22semidirect
119. #3280C22semidirect
120. D4×D8C22semidirect
121. D4×D8C22semidirect
122. #3274C22semidirect
123. #3273C22semidirect
124. #3272C22semidirect
125. #3268C22semidirect
126. #3264C22semidirect
127. #3262C22semidirect
128. #3257C22semidirect
129. #3251C22semidirect
130. #3245C22semidirect
131. #3243C22semidirect
132. #3238C22semidirect
133. #3229C22semidirect
134. #3228C22semidirect
135. #3226C22semidirect
136. #3226C22semidirect
137. #3226C22semidirect
138. #3226C22semidirect
139. #3226C22semidirect
140. #3224C22semidirect
141. #3213C22semidirect
142. #3211C22semidirect
143. #3208C22semidirect
144. #3207C22semidirect
146. #3205C22semidirect
147. #3205C22semidirect
148. #3205C22semidirect
149. #3194C22semidirect
150. #3194C22semidirect
151. #3193C22semidirect
152. #3190C22semidirect
153. #3186C22semidirect
154. #3186C22semidirect
155. #3184C22semidirect
156. #3182C22semidirect
157. #3179C22semidirect
158. #3175C22semidirect
159. #3169C22semidirect
160. #3169C22semidirect
161. #3124C22semidirect
162. #3122C22semidirect
163. #3122C22semidirect
164. #3118C22semidirect
165. #3118C22semidirect
166. #3118C22semidirect
167. #3115C22semidirect
168. #3115C22semidirect
169. #3115C22semidirect
170. #3114C22semidirect
171. #3114C22semidirect
172. #3112C22semidirect
173. #3109C22semidirect
174. #3109C22semidirect
175. #3108C22semidirect
176. #3107C22semidirect
177. #3106C22semidirect
178. #3106C22semidirect
179. #3105C22semidirect
180. #3105C22semidirect
181. #3104C22semidirect
182. #3103C22semidirect
183. #3103C22semidirect
184. #3103C22semidirect
185. #3102C22semidirect
186. #3101C22semidirect
188. #3100C22semidirect
189. #3100C22semidirect
190. #3100C22semidirect
191. #3100C22semidirect
192. #3100C22semidirect
193. #3094C22semidirect
194. #3094C22semidirect
195. #3091C22semidirect
196. #3091C22semidirect
197. #3081C22semidirect
198. #3079C22semidirect
199. #3076C22semidirect
200. #3041C22semidirect
201. #3038C22semidirect
202. #3035C22semidirect
203. #3006C22semidirect
204. #3003C22semidirect
205. #3002C22semidirect
206. C2×#447C22semidirect
207. #2994C22semidirect
208. #2993C22semidirect
209. #2983C22semidirect
210. #2982C22semidirect
211. #2975C22semidirect
212. #2974C22semidirect
213. #2972C22semidirect
214. #2969C22semidirect
215. #2966C22semidirect
216. #2948C22semidirect
217. #2946C22semidirect
218. C4×AGL(1,ℤ/8)C22semidirect
219. C4×#135C22semidirect
220. #2924C22semidirect
221. #2920C22semidirect
222. C2×#431C22semidirect
244. #559C23semidirect
245. #557C23semidirect
252. #556C23semidirect
259. #555C23semidirect
260. #554C23semidirect
261. #554C23semidirect
269. #553C23semidirect
270. #553C23semidirect
284. #550C23semidirect
285. #550C23semidirect
286. #550C23semidirect
292. D4×Q8C23semidirect
293. D4×Q8C23semidirect
328. #546C23semidirect
329. #546C23semidirect
338. D42C23semidirect
339. #544C23semidirect
345. #542C23semidirect
346. #542C23semidirect
351. #540C23semidirect
352. #540C23semidirect
377. #535C23semidirect
381. #533C23semidirect
382. #533C23semidirect
401. #532C23semidirect
402. #532C23semidirect
403. #532C23semidirect
404. #532C23semidirect
405. #532C23semidirect
408. C2×C4⋊Q8C23semidirect
410. C2×#127C23semidirect
431. #529C23semidirect
481. #520C23semidirect
487. #518C23semidirect
498. C4×#41C23semidirect
517. C2×C4×D4C23semidirect
528. #501C23semidirect
529. #500C23semidirect
530. #500C23semidirect
531. #500C23semidirect
532. #500C23semidirect
533. #498C23semidirect
534. #496C23semidirect
535. #495C23semidirect
540. #489C23semidirect
541. #489C23semidirect
542. #488C23semidirect
543. #487C23semidirect
548. #486C23semidirect
549. #486C23semidirect
550. #486C23semidirect
551. #486C23semidirect
552. #485C23semidirect
553. #485C23semidirect
554. #485C23semidirect
556. #484C23semidirect
560. #482C23semidirect
561. #482C23semidirect
562. #482C23semidirect
563. #482C23semidirect
564. #482C23semidirect
565. #482C23semidirect
566. #482C23semidirect
577. #480C23semidirect
578. #479C23semidirect
581. #478C23semidirect
582. #478C23semidirect
583. #477C23semidirect
584. #477C23semidirect
585. #477C23semidirect
588. #476C23semidirect
589. #476C23semidirect
590. #475C23semidirect
591. #475C23semidirect
592. #475C23semidirect
593. #475C23semidirect
598. #474C23semidirect
599. #474C23semidirect
600. #474C23semidirect
601. #474C23semidirect
602. #474C23semidirect
603. #474C23semidirect
605. #469C23semidirect
607. #468C23semidirect
608. #468C23semidirect
609. #468C23semidirect
610. #467C23semidirect
613. #466C23semidirect
614. #466C23semidirect
615. #465C23semidirect
616. #464C23semidirect
617. #464C23semidirect
620. #463C23semidirect
621. #463C23semidirect
622. #463C23semidirect
623. #463C23semidirect
624. #463C23semidirect
625. #462C23semidirect
628. #460C23semidirect
629. #460C23semidirect
630. #460C23semidirect
631. #460C23semidirect
640. #459C23semidirect
641. #459C23semidirect
643. #452C23semidirect
648. #450C23semidirect
653. #449C23semidirect
667. #447C23semidirect
668. #446C23semidirect
669. #446C23semidirect
670. C8×Q8C23semidirect
671. C8×Q8C23semidirect
675. #442C23semidirect
676. #442C23semidirect
677. #442C23semidirect
679. #440C23semidirect
680. #440C23semidirect
681. #440C23semidirect
682. C4×Q16C23semidirect
683. C4×Q16C23semidirect
686. C4×SD16C23semidirect
687. C4×SD16C23semidirect
688. C4×SD16C23semidirect
689. C4×SD16C23semidirect
690. C4×SD16C23semidirect
697. C4×D8C23semidirect
698. C4×D8C23semidirect
699. C4×D8C23semidirect
702. #436C23semidirect
703. #435C23semidirect
704. #435C23semidirect
707. C8×D4C23semidirect
708. #433C23semidirect
709. #433C23semidirect
712. #432C23semidirect
719. #431C23semidirect
720. #431C23semidirect
721. #431C23semidirect
722. #428C23semidirect
723. #428C23semidirect
724. #427C23semidirect
725. #427C23semidirect
726. #424C23semidirect
727. #423C23semidirect
728. C2×C4⋊C8C23semidirect
730. #418C23semidirect
731. #418C23semidirect
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×#35142
#622152
#621802
#620672
#620312
#618912
#618852
#618272
#618172
#617402
#617222
#617012
#615922
#615822
#615592
#615532
#615392
#614942
#614752
#609762
#609652
#609402
#605782
#605612
#605362
#602902