Finite Group Databasebeta

← #10575124

Subgroups — #10575124

Order 512.

7568 conjugacy classes of subgroups.

The subgroup lattice has 1947 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62814C211yesmaximal, characteristic, complemented
2C2×#3428C211yesmaximal, characteristic, complemented
3#60589C212yesmaximal, complemented
4#60588C212yesmaximal, complemented
5#60587C214yesmaximal, complemented
6#60586C214yesmaximal, complemented
7#60585C212yesmaximal, complemented
8#60584C212yesmaximal, complemented
9#60583C212yesmaximal, complemented
10#60582C212yesmaximal, complemented
11#60581C214yesmaximal, complemented
12#60580C214yesmaximal, complemented
13#60579C212yesmaximal, complemented
14#60578C212yesmaximal, complemented
15#60557C218yesmaximal, complemented
16#60546C214yesmaximal, complemented
17#60536C214yesmaximal, complemented
18#60511C211yesmaximal, characteristic, complemented
19C2×#3091C211yesmaximal, characteristic, complemented
20#60489C212yesmaximal, complemented
21#60422C212yesmaximal, complemented
22#60359C211yesmaximal, characteristic, complemented
23C2×#3002C211yesmaximal, characteristic, complemented
24#60167C212yesmaximal, complemented
25#60161C212yesmaximal, complemented
26C2×#2924C211yesmaximal, characteristic, complemented
27C23×#41C2211yescharacteristic
28C2×#575C2212yes—
29C22×#135C2212yes—
30#3495C2212yes—
31#3495C2212yescomplemented
32#3495C2212yescomplemented
33#3495C2212yescomplemented
34#3494C2212yes—
35#3494C2212yescomplemented
36#3494C2212yescomplemented
37#3494C2212yescomplemented
38#3493—21no—
39#3493—21no—
40#3492—21no—
41#3492—21no—
42#3491—22no—
43#3490—22no—
44#3475—22no—
45#3475—22no—
46#3475—22no—
47#3475—22no—
48#3458C2211yescharacteristic, complemented
49#3455C2214yescomplemented
50#3449C2211yescharacteristic, complemented
51#3444C2214yescomplemented
52C2×#525C2211yescharacteristic
53C2×#525C2211yescharacteristic
54#3428—22no—
55#3428—22no—
56#3428—22no—
57#3428—21no—
58#3428—21no—
59#3428C2212yes—
60#3428C2212yes—
61#3428C2214yescomplemented
62#3428C2214yescomplemented
63#3428C2214yescomplemented
64#3428C2211yescharacteristic, complemented
65#3428C2211yescharacteristic, complemented
66C2×#520—21no—
67C2×#520—21no—
68C2×#520C2212yescomplemented
69C2×#520C2212yescomplemented
70C2×#519C2212yescomplemented
71C2×#518—22no—
72C2×#518C2212yescomplemented
73C2×C4×#41—22no—
74C2×C4×#41C2214yescomplemented
75C22×#117—22no—
76C22×#117C2211yescharacteristic
77C22×#117C2211yescharacteristic
78#3127C2218yescomplemented
79#3126C2218yescomplemented
80#3125C2218yescomplemented
81#3125C2218yescomplemented
82#3124C2218yescomplemented
83#3124C2218yescomplemented
84#3123C2218yescomplemented
85#3122C2218yescomplemented
86#3121C2218yescomplemented
87#3121C2218yescomplemented
88#3120C2218yescomplemented
89#3120C2218yescomplemented
90#3119C2218yescomplemented
91#3119C2218yescomplemented
92#3118C2218yescomplemented
93#3118C2218yescomplemented
94#3117C2214yescomplemented
95#3117C2214yescomplemented
96#3116C2218yescomplemented
97#3115C2218yescomplemented
98#3114C2214yescomplemented
99#3114C2214yescomplemented
100#3113C2214yescomplemented
101#3112C2214yescomplemented
102#3111C2218yescomplemented
103#3111C2218yescomplemented
104#3110C2214yescomplemented
105#3109C2214yescomplemented
106#3108C2214yescomplemented
107#3108C2214yescomplemented
108#3107C2218yescomplemented
109#3106C2218yescomplemented
110#3105C2214yescomplemented
111#3105C2214yescomplemented
112#3104C2214yescomplemented
113#3103C2214yescomplemented
114#3102C2218yescomplemented
115#3102C2218yescomplemented
116#3101C2214yescomplemented
117#3100C2214yescomplemented
118#3095C2212yescomplemented
119#3095C2212yescomplemented
120#3094C2212yescomplemented
121#3094C2212yescomplemented
122#3093C2214yescomplemented
123#3092C2212yescomplemented
124#3092C2212yescomplemented
125#3091C2212yes—
126#3091C2212yes—
127#3091C2214yescomplemented
128#3091C2212yescomplemented
129#3091C2212yescomplemented
130#3091C2214yescomplemented
131#3091C2214yescomplemented
132#3091C2214yescomplemented
133C2×#484C2211yescharacteristic, complemented
134C2×#481C2211yescharacteristic, complemented
135C2×#485C2212yescomplemented
136C2×#482C2212yescomplemented
137C2×#483C2211yescharacteristic, complemented
138C2×#480C2211yescharacteristic, complemented
139#3084C2214yescomplemented
140#3084C2214yescomplemented
141#3083C2214yescomplemented
142#3083C2214yescomplemented
143#3082C2214yescomplemented
144#3082C2214yescomplemented
145#3081C2214yescomplemented
146#3081C2214yescomplemented
147#3076C2218yescomplemented
148#3076C2218yescomplemented
149#3046C2214yescomplemented
150#3046C2214yescomplemented
151#3045C2214yescomplemented
152#3045C2214yescomplemented
153#3044C2214yescomplemented
154#3043C2214yescomplemented
155#3042C2214yescomplemented
156#3041C2214yescomplemented
157#3035C2218yescomplemented
158#3035C2218yescomplemented
159#3007C2212yescomplemented
160#3007C2212yescomplemented
161#3006C2212yescomplemented
162#3006C2212yescomplemented
163#3005C2214yes—
164#3004C2212yes—
165#3003C2212yes—
166#3002C2212yes—
167#3002C2212yes—
168#3002C2214yes—
169#3002C2212yescomplemented
170#3002C2214yescomplemented
171#3002C2212yescomplemented
172#3002C2214yescomplemented
173#3002C2214yescomplemented
174C2×#452C2212yescomplemented
175C2×#449C2212yescomplemented
176C2×#451C2211yescharacteristic, complemented
177C2×#448C2211yescharacteristic, complemented
178C2×#450C2211yescharacteristic, complemented
179C2×#447C2211yescharacteristic, complemented
180#2952C2214yescomplemented
181#2952C2214yescomplemented
182#2951C2214yescomplemented
183#2951C2214yescomplemented
184#2950C2214yescomplemented
185#2949C2214yescomplemented
186#2949C2214yescomplemented
187#2948C2214yescomplemented
188#2947C2214yescomplemented
189#2947C2214yescomplemented
190#2947C2214yescomplemented
191#2947C2214yescomplemented
192#2946C2214yescomplemented
193#2946C2214yescomplemented
194#2946C2214yescomplemented
195#2946C2214yescomplemented
196#2943C2218yescomplemented
197#2943C2218yescomplemented
198C4×#135C2218yescomplemented
199C4×#135C2218yescomplemented
200#2924C2212yescomplemented
201#2924C2212yescomplemented
202#2924C2214yescomplemented
203#2924C2212yescomplemented
204#2924C2212yescomplemented
205#2924C2214yescomplemented
206C2×#433C2214yescomplemented
207C2×#432C2212yescomplemented
208C2×#431C2212yescomplemented
209#2911C2212yescomplemented
210C2×#427C2212yescomplemented
211C2×#424C2212yescomplemented
212#2896C2212yes—
213#2896C2212yescomplemented
214C2×#416C2212yes—
215C2×#416C2212yescomplemented
216C2×#407C2211yescharacteristic
217C22×C22⋊C8C2211yescharacteristic
218C2×#405C2212yescomplemented
219C22×#41—216no—
220C22×#41—21no—
221C22×#41—21no—
222C22×#41—21no—
223C22×#41—21no—
224C22×#41—21no—
225C22×#41—21no—
226C22×#41C2312yes—
227C22×#41C2312yes—
228C22×#41C2312yes—
229C22×#41C2312yes—
230C22×#41C2312yes—
231C22×#41C2311yescharacteristic
232C22×#41C2311yescharacteristic
233C22×#41C2312yes—
234C23×Q8C2311yescharacteristic
235C23×D4—21no—
236C23×D4C2311yescharacteristic
237C24×C4—21no—
238C24×C4C2311yescharacteristic
239#575—216no—
240C2×#137C2314yes—
241C2×#137C2314yes—
242C2×AGL(1,ℤ/8)C2314yes—
243C2×AGL(1,ℤ/8)C2314yes—
244C2×#135—216no—
245C2×#135C2314yes—
246C2×#135C2318yes—
247C2×#135C2314yes—
248C2×#135C2314yes—
249C2×#135C2314yes—
250C22×Q16C2312yes—
251C22×SD16C2312yes—
252C22×SD16C2312yes—
253C22×D8C2312yes—
254C22×M16C2312yes—
255C23×C8C2312yes—
256#556—22no—
257#556—22no—
258#556—22no—
259#556—22no—
260#555—22no—
261#555—22no—
262#555—22no—
263#555—22no—
264#554—22no—
265#554—22no—
266#554—22no—
267#554—22no—
268#553—22no—
269#553—22no—
270#553—22no—
271#553—22no—
272#553—22no—
273#553—22no—
274#553—22no—
275#553—22no—
276#552—24no—
277#552—24no—
278#552—24no—
279#552—24no—
280#552—22no—
281#552—22no—
282#552—22no—
283#552—22no—
284#552—22no—
285#552—22no—
286#552—22no—
287#552—22no—
288#551—24no—
289#551—24no—
290#551—24no—
291#551—24no—
292#551—24no—
293#551—24no—
294#551—24no—
295#551—24no—
296#547—22no—
297#547—22no—
298#547—22no—
299#547—22no—
300#546—24no—
301#546—24no—
302#546—24no—
303#546—24no—
304#544—21no—
305#544—21no—
306#544C2312yes—
307#544C2312yes—
308#544C2312yescomplemented
309#544C2312yescomplemented
310#543—22no—
311#542C2314yes—
312#542C2314yes—
313#542C2314yescomplemented
314#542C2314yescomplemented
315#541C2314yes—
316#541C2314yescomplemented
317#540C2314yes—
318#540C2314yescomplemented
319#539—24no—
320#539—24no—
321#538—24no—
322#538—24no—
323#537—21no—
324#537—21no—
325#536C2312yes—
326#536C2312yescomplemented
327#535C2312yes—
328#535C2312yescomplemented
329#534—22no—
330#533—22no—
331#533—22no—
332#533C2314yes—
333#533C2314yescomplemented
334#533C2314yescomplemented
335#532C2314yes—
336#532C2314yescomplemented
337#532C2314yescomplemented
338#529—24no—
339#529—24no—
340#529—24no—
341#529—24no—
342#529—24no—
343#529—24no—
344#529—24no—
345#529—24no—
346#529C2314yes—
347#529C2314yes—
348#529C2314yescomplemented
349#529C2314yescomplemented
350#525—21no—
351#525—21no—
352#525—21no—
353#525—21no—
354#525—21no—
355#525—21no—
356#525—21no—
357#525—21no—
358#525—24no—
359#525—24no—
360#525—22no—
361#525—22no—
362#525C2312yes—
363#525C2312yes—
364#525C2312yes—
365#525C2312yes—
366#525C2312yes—
367#525C2312yes—
368#525C2312yes—
369#525C2312yes—
370C2×#123—21no—
371C2×#123—21no—
372C2×C22⋊Q8C2311yescharacteristic
373C2×C22⋊Q8C2311yescharacteristic
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#120—21no—
381C2×#120—21no—
382#520—24no—
383#520—24no—
384#520—22no—
385#520—22no—
386#520—22no—
387#520—22no—
388#520—22no—
389#520—22no—
390#520—22no—
391#520—22no—
392#520—24no—
393#520—24no—
394#520—24no—
395#520—24no—
396#520—24no—
397#520—24no—
398#520—21no—
399#520—21no—
400#520—21no—
401#520—21no—
402#520C2314yes—
403#520C2314yes—
404#520C2318yes—
405#520C2318yes—
406#520C2314yes—
407#520C2314yes—
408#520C2312yes—
409#520C2312yes—
410#520C2312yescomplemented
411#520C2312yescomplemented
412#519—24no—
413#519—22no—
414#519—22no—
415#519C2314yes—
416#519C2318yes—
417#519C2314yes—
418#519C2312yes—
419#519C2312yescomplemented
420#518—24no—
421#518—22no—
422#518—22no—
423#518—24no—
424#518—24no—
425#518—24no—
426#518—24no—
427#518—28no—
428#518—28no—
429#518—22no—
430#518—22no—
431#518C2314yes—
432#518C2318yes—
433#518C2314yes—
434#518C2312yes—
435#518C2312yescomplemented
436C4×#41—24no—
437C4×#41—24no—
438C4×#41—28no—
439C4×#41—28no—
440C4×#41—24no—
441C4×#41—24no—
442C4×#41—22no—
443C4×#41—22no—
444C4×#41—24no—
445C4×#41—24no—
446C4×#41—24no—
447C4×#41—24no—
448C4×#41—24no—
449C4×#41—24no—
450C4×#41C2318yes—
451C4×#41C2318yes—
452C4×#41C2318yes—
453C4×#41C2318yes—
454C4×#41C2314yescomplemented
455C4×#41C2314yescomplemented
456C2×C4×Q8—22no—
457C2×C4×Q8—22no—
458C2×C4×Q8C2314yes—
459C2×C4×Q8C2314yes—
460C2×C4×D4—24no—
461C2×C4×D4—24no—
462C2×C4×D4—21no—
463C2×C4×D4—21no—
464C2×C4×D4—21no—
465C2×C4×D4—21no—
466C2×C4×D4—22no—
467C2×C4×D4—22no—
468C2×C4×D4—24no—
469C2×C4×D4—24no—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×#117—21no—
473C2×#117—21no—
474C2×#117—21no—
475C2×#117—21no—
476C2×#117—21no—
477C2×#117—21no—
478C2×#117—24no—
479C2×#117—24no—
480C2×#117—28no—
481C2×#117—28no—
482C2×#117—24no—
483C2×#117—24no—
484C2×#117—22no—
485C2×#117—22no—
486C2×#117—22no—
487C2×#117—22no—
488C2×#117—24no—
489C2×#117—24no—
490C2×#117D412yes—
491C2×#117D412yes—
492C2×#117D412yes—
493C2×#117D412yes—
494C2×#117D412yes—
495C2×#117D411yescharacteristic
496C2×#117D411yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C22×C4⋊C4—22no—
513C22×C4⋊C4—22no—
514C22×C4⋊C4D411yescharacteristic
515C22×C4⋊C4D411yescharacteristic
516C22×C4⋊C4C2311yescharacteristic
517C22×C4⋊C4C2311yescharacteristic
518C22×C22⋊C4—21no—
519C22×C22⋊C4—24no—
520C22×C22⋊C4D412yes—
521C22×C42—21no—
522C22×C42—24no—
523C22×C42C2312yes—
524#485C2314yes—
525#485C2314yes—
526#485C2318yes—
527#485C2314yescomplemented
528#485C2314yescomplemented
529#485C2318yescomplemented
530#484C2312yes—
531#484C2312yes—
532#484C2314yes—
533#484C2314yescomplemented
534#484C2314yescomplemented
535#483C2312yes—
536#483C2312yes—
537#483C2314yes—
538#483C2314yescomplemented
539#483C2314yescomplemented
540#482C2314yes—
541#482C2314yes—
542#482C2318yes—
543#482C2314yescomplemented
544#482C2314yescomplemented
545#482C2318yescomplemented
546#481C2312yes—
547#481C2312yes—
548#481C2314yes—
549#481C2314yescomplemented
550#481C2314yescomplemented
551#480C2312yes—
552#480C2312yes—
553#480C2314yes—
554#480C2314yescomplemented
555#480C2314yescomplemented
556#479C2318yescomplemented
557#479C2318yescomplemented
558#479C2318yescomplemented
559#479C2318yescomplemented
560#478C2318yescomplemented
561#478C2318yescomplemented
562#478C2318yescomplemented
563#478C2318yescomplemented
564#477C2318yescomplemented
565#477C2318yescomplemented
566#476C2318yescomplemented
567#476C2318yescomplemented
568#475C2318yescomplemented
569#475C2318yescomplemented
570#474C2318yescomplemented
571#474C2318yescomplemented
572#464C2318yescomplemented
573#464C2318yescomplemented
574#464C2318yescomplemented
575#464C2318yescomplemented
576#463C2318yescomplemented
577#463C2318yescomplemented
578#463C2318yescomplemented
579#463C2318yescomplemented
580#462C2318yescomplemented
581#462C2318yescomplemented
582#461C2318yescomplemented
583#461C2318yescomplemented
584#460C2318yescomplemented
585#460C2318yescomplemented
586#459C2318yescomplemented
587#459C2318yescomplemented
588#452C2314yes—
589#452C2318yes—
590#452C2314yes—
591#452C2314yes—
592#452C2318yes—
593#452C2314yes—
594#451C2312yes—
595#451C2314yes—
596#451C2312yes—
597#451C2314yes—
598#451C2314yes—
599#450C2312yes—
600#450C2314yes—
601#450C2312yes—
602#450C2314yes—
603#450C2314yes—
604#449C2314yes—
605#449C2318yes—
606#449C2314yes—
607#449C2314yes—
608#449C2318yes—
609#449C2314yes—
610#448C2312yes—
611#448C2314yes—
612#448C2312yes—
613#448C2314yes—
614#448C2314yes—
615#447C2312yes—
616#447C2314yes—
617#447C2312yes—
618#447C2314yes—
619#447C2314yes—
620#442C2318yescomplemented
621#442C2318yescomplemented
622#442C2318yescomplemented
623#442C2318yescomplemented
624#441C2318yescomplemented
625#441C2318yescomplemented
626#441C2318yescomplemented
627#441C2318yescomplemented
628#440C2318yescomplemented
629#440C2318yescomplemented
630#440C2318yescomplemented
631#440C2318yescomplemented
632#440C2318yescomplemented
633#440C2318yescomplemented
634#440C2318yescomplemented
635#440C2318yescomplemented
636C4×Q16C2318yescomplemented
637C4×Q16C2318yescomplemented
638C4×Q16C2318yescomplemented
639C4×Q16C2318yescomplemented
640C4×SD16C2318yescomplemented
641C4×SD16C2318yescomplemented
642C4×SD16C2318yescomplemented
643C4×SD16C2318yescomplemented
644C4×SD16C2318yescomplemented
645C4×SD16C2318yescomplemented
646C4×SD16C2318yescomplemented
647C4×SD16C2318yescomplemented
648C4×D8C2318yescomplemented
649C4×D8C2318yescomplemented
650C4×D8C2318yescomplemented
651C4×D8C2318yescomplemented
652#433C2318yes—
653#433C2318yes—
654#433C2318yescomplemented
655#433C2318yescomplemented
656#432C2314yes—
657#432C2314yes—
658#432C2318yescomplemented
659#431C2314yes—
660#431C2314yes—
661#431C2318yescomplemented
662#428C2314yes—
663#428C2314yes—
664#428C2314yescomplemented
665#428C2314yescomplemented
666#427C2314yes—
667#427C2314yes—
668#427C2314yescomplemented
669#427C2314yescomplemented
670#427C2318yescomplemented
671C2×#107C2312yescomplemented
672C2×#107C2312yescomplemented
673C2×#106C2312yescomplemented
674C2×#106C2312yescomplemented
675#424C2314yes—
676#424C2314yes—
677#424C2314yescomplemented
678#424C2314yescomplemented
679C2×C4⋊C8C2314yescomplemented
680C2×C4⋊C8C2314yescomplemented
681#419C2314yes—
682#419C2314yes—
683#418C2314yes—
684#418C2314yes—
685#417C2314yes—
686#417C2314yes—
687#417C2314yescomplemented
688#417C2314yescomplemented
689#416C2314yes—
690#416C2314yes—
691#416C2318yes—
692#416C2314yes—
693#416C2314yes—
694#416C2314yes—
695#416C2314yes—
696#416C2314yescomplemented
697#416C2314yescomplemented
698#416C2318yescomplemented
699C2×#103C2312yes—
700C2×#103C2312yes—
701C2×#103C2312yescomplemented
702C2×#103C2312yescomplemented
703C2×#102C2312yes—
704C2×#102C2312yes—
705C2×#102C2312yescomplemented
706C2×#102C2312yescomplemented
707#407C2312yes—
708#407C2312yes—
709#407C2312yes—
710#407C2312yes—
711C2×C22⋊C8C2311yescharacteristic
712C2×C22⋊C8C2311yescharacteristic
713C2×C22⋊C8C2312yes—
714C2×C22⋊C8C2311yescharacteristic
715C2×C22⋊C8C2311yescharacteristic
716C2×C22⋊C8C2311yescharacteristic
717C2×C22⋊C8C2311yescharacteristic
718C2×C22⋊C8C2312yes—
719C2×C22⋊C8C2312yes—
720C2×C22⋊C8C2312yes—
721C2×C22⋊C8C2312yes—
722#405C2314yes—
723#405C2314yes—
724#405C2314yescomplemented
725#405C2314yescomplemented
726C2×#97C2314yescomplemented
727C2×C4×C8C2314yescomplemented
728C25—21no—
729C25C2×D411yescharacteristic
730C2×#41—216no—
731C2×#41—216no—
732C2×#41—216no—
733C2×#41—216no—
734C2×#41—216no—
735C2×#41—216no—
736C2×#41—216no—
737C2×#41—216no—
738C2×#41—216no—
739C2×#41—216no—
740C2×#41—28no—
741C2×#41—28no—
742C2×#41—22no—
743C2×#41—22no—
744C2×#41—22no—
745C2×#41—22no—
746C2×#41—22no—
747C2×#41—22no—
748C2×#41—22no—
749C2×#41—22no—
750C2×#41—22no—
751C2×#41—22no—
752C2×#41—22no—
753C2×#41—22no—
754C2×#41—21no—
755C2×#41—21no—
756C2×#41—21no—
757C2×#41—21no—
758C2×#41—24no—
759C2×#41—24no—
760C2×#41—28no—
761C2×#41—28no—
762C2×#41—28no—
763C2×#41#41116yescomplemented
764C2×#41C2414yes—
765C2×#41C2412yes—
766C2×#41C2412yes—
767C2×#41C2414yes—
768C2×#41C2412yes—
769C2×#41C2412yes—
770C2×#41C2414yes—
771C2×#41C2414yes—
772C22×Q8—28no—
773C22×Q8—21no—
774C22×Q8—21no—
775C22×Q8—21no—
776C22×Q8C2412yes—
777C22×Q8C2412yes—
778C22×Q8C2411yescharacteristic
779C22×Q8C2411yescharacteristic
780C22×Q8C2412yes—
781C22×D4—216no—
782C22×D4—22no—
783C22×D4—22no—
784C22×D4—22no—
785C22×D4—22no—
786C22×D4—22no—
787C22×D4—22no—
788C22×D4—28no—
789C22×D4—21no—
790C22×D4—21no—
791C22×D4—21no—
792C22×D4—21no—
793C22×D4—21no—
794C22×D4—21no—
795C22×D4—21no—
796C22×D4—21no—
797C22×D4—21no—
798C22×D4C2412yes—
799C22×D4C2412yes—
800C22×D4C2411yescharacteristic
801C22×D4C2411yescharacteristic
802C22×D4C2412yes—
803C23×C4—216no—
804C23×C4—21no—
805C23×C4—22no—
806C23×C4—22no—
807C23×C4—22no—
808C23×C4—22no—
809C23×C4—22no—
810C23×C4—22no—
811C23×C4—28no—
812C23×C4—21no—
813C23×C4—21no—
814C23×C4—21no—
815C23×C4—21no—
816C23×C4—24no—
817C23×C4—24no—
818C23×C4C2×D411yescharacteristic
819C23×C4C2×D411yescharacteristic
820C23×C4C2×D411yescharacteristic
821C23×C4C2×D411yescharacteristic
822C23×C4C2×D411yescharacteristic
823C23×C4C2×D411yescharacteristic
824C23×C4C2×D411yescharacteristic
825C23×C4C2×D412yes—
826C23×C4C2×D412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834#137—216no—
835#137—216no—
836AGL(1,ℤ/8)—216no—
837AGL(1,ℤ/8)—216no—
838#135—216no—
839#135—216no—
840#135—216no—
841#135—216no—
842#135—232no—
843C2×Q16—28no—
844C2×Q16C2414yes—
845C2×Q16C2414yes—
846C2×Q16C2418yes—
847C2×SD16—28no—
848C2×SD16—28no—
849C2×SD16C2414yes—
850C2×SD16C2414yes—
851C2×SD16C2414yes—
852C2×SD16C2414yes—
853C2×SD16C2418yes—
854C2×SD16C2418yes—
855C2×D8—28no—
856C2×D8C2414yes—
857C2×D8C2414yes—
858C2×D8C2418yes—
859C2×M16—28no—
860C2×M16C2414yes—
861C2×M16C2414yes—
862C22×C8—28no—
863C22×C8C2412yes—
864C22×C8C2412yes—
865C22×C8C2412yes—
866C22×C8C2412yes—
867C22×C8C2412yes—
868C22×C8C2412yes—
869C22×C8C2414yes—
870C4⋊Q8—22no—
871C4⋊Q8—22no—
872C4⋊Q8—22no—
873C4⋊Q8—22no—
874C4⋊Q8C2414yes—
875C4⋊Q8C2414yes—
876C4⋊Q8C2414yes—
877#127C2414yes—
878#126—24no—
879#126—24no—
880#126—24no—
881#126—24no—
882#126—24no—
883#126—24no—
884#126—24no—
885#126—24no—
886#126—24no—
887#126—24no—
888#126—24no—
889#126—24no—
890#125—24no—
891#125—24no—
892#125—24no—
893#125—24no—
894#125—22no—
895#125—22no—
896#125—22no—
897#125—22no—
898#125—24no—
899#125—24no—
900#125C2414yes—
901#125C2414yes—
902#124—24no—
903#124—24no—
904#124—24no—
905#124—24no—
906#124—24no—
907#124—24no—
908#124C2414yes—
909#124C2414yes—
910#123—22no—
911#123—22no—
912#123—22no—
913#123—22no—
914#123—22no—
915#123—22no—
916#123—22no—
917#123—22no—
918#123—24no—
919#123—24no—
920#123—24no—
921#123—24no—
922#123—24no—
923#123—24no—
924#123—24no—
925#123—24no—
926#123—24no—
927#123—24no—
928#123—24no—
929#123—24no—
930#123—24no—
931#123—24no—
932C22⋊Q8—21no—
933C22⋊Q8—21no—
934C22⋊Q8—21no—
935C22⋊Q8—21no—
936C22⋊Q8—21no—
937C22⋊Q8—21no—
938C22⋊Q8—21no—
939C22⋊Q8—21no—
940C22⋊Q8—24no—
941C22⋊Q8—24no—
942C22⋊Q8—24no—
943C22⋊Q8—24no—
944C22⋊Q8—22no—
945C22⋊Q8—22no—
946C22⋊Q8—22no—
947C22⋊Q8—22no—
948C22⋊Q8—24no—
949C22⋊Q8—24no—
950C22⋊Q8—24no—
951C22⋊Q8—24no—
952C22⋊Q8—24no—
953C22⋊Q8—24no—
954C22⋊Q8—24no—
955C22⋊Q8—24no—
956C22⋊Q8C2412yes—
957C22⋊Q8C2412yes—
958C22⋊Q8C2412yes—
959C22⋊Q8C2412yes—
960C22⋊Q8C2412yes—
961C22⋊Q8C2412yes—
962C22⋊Q8C2412yes—
963C22⋊Q8C2412yes—
964#121—21no—
965#121—21no—
966#121—21no—
967#121—21no—
968#121—21no—
969#121—21no—
970#121—21no—
971#121—21no—
972#121—24no—
973#121—24no—
974#121—24no—
975#121—24no—
976#121—22no—
977#121—22no—
978#121—22no—
979#121—22no—
980#121—24no—
981#121—24no—
982#121—24no—
983#121—24no—
984#121C2412yes—
985#121C2412yes—
986#121C2412yes—
987#121C2412yes—
988#121C2412yes—
989#121C2412yes—
990#121C2412yes—
991#121C2412yes—
992#120—22no—
993#120—22no—
994#120—22no—
995#120—22no—
996#120—22no—
997#120—22no—
998#120—22no—
999#120—22no—
1000#120—24no—
1001#120—24no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8—22no—
1009C4×Q8—22no—
1010C4×Q8—22no—
1011C4×Q8—22no—
1012C4×Q8—24no—
1013C4×Q8—24no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8C2418yes—
1021C4×Q8C2418yes—
1022C4×Q8C2418yes—
1023C4×Q8C2418yes—
1024C4×Q8C2414yes—
1025C4×Q8C2414yes—
1026C4×Q8C2414yes—
1027C4×Q8C2414yes—
1028C4×D4—22no—
1029C4×D4—22no—
1030C4×D4—22no—
1031C4×D4—22no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—22no—
1041C4×D4—22no—
1042C4×D4—22no—
1043C4×D4—22no—
1044C4×D4—22no—
1045C4×D4—22no—
1046C4×D4—22no—
1047C4×D4—22no—
1048C4×D4—22no—
1049C4×D4—22no—
1050C4×D4—22no—
1051C4×D4—22no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—22no—
1067C4×D4—22no—
1068C4×D4—22no—
1069C4×D4—22no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—24no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4C2418yes—
1091C4×D4C2418yes—
1092C4×D4C2418yes—
1093C4×D4C2418yes—
1094C4×D4C2414yes—
1095C4×D4C2414yes—
1096C4×D4C2414yes—
1097C4×D4C2414yes—
1098#117—22no—
1099#117—22no—
1100#117—22no—
1101#117—22no—
1102#117—22no—
1103#117—22no—
1104#117—22no—
1105#117—22no—
1106#117—22no—
1107#117—22no—
1108#117—22no—
1109#117—22no—
1110#117—21no—
1111#117—21no—
1112#117—21no—
1113#117—21no—
1114#117—24no—
1115#117—24no—
1116#117—24no—
1117#117—24no—
1118#117—24no—
1119#117—24no—
1120#117—28no—
1121#117—28no—
1122#117—22no—
1123#117—22no—
1124#117—22no—
1125#117—22no—
1126#117—28no—
1127#117—28no—
1128#117—28no—
1129#117—28no—
1130#117—24no—
1131#117—24no—
1132#117—28no—
1133#117—28no—
1134#117—28no—
1135#117—28no—
1136#117—24no—
1137#117—24no—
1138#117—24no—
1139#117—24no—
1140#117—24no—
1141#117—24no—
1142#117C2×D412yes—
1143#117C2×D412yes—
1144#117C2×D414yes—
1145#117C2×D414yes—
1146#117C2×D412yes—
1147#117C2×D412yes—
1148#117C2×D412yes—
1149#117C2×D412yes—
1150#117C2×D414yes—
1151#117C2×D414yes—
1152#117C2×D412yes—
1153#117C2×D412yes—
1154#117C2×D414yes—
1155#117C2×D412yes—
1156#117C2×D412yes—
1157#117C2×D414yes—
1158#117C2×D412yes—
1159#117C2×D412yes—
1160#117C2414yes—
1161#117C2414yes—
1162#117C2414yes—
1163#117C2414yes—
1164#117C2412yes—
1165#117C2412yes—
1166#117C2412yes—
1167#117C2412yes—
1168#117C2412yes—
1169#117C2412yes—
1170#117C2414yes—
1171#117C2412yes—
1172#117C2412yes—
1173#117C2414yes—
1174C2×C4⋊C4—21no—
1175C2×C4⋊C4—21no—
1176C2×C4⋊C4—24no—
1177C2×C4⋊C4—24no—
1178C2×C4⋊C4—21no—
1179C2×C4⋊C4—21no—
1180C2×C4⋊C4—21no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4—21no—
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—21no—
1185C2×C4⋊C4—21no—
1186C2×C4⋊C4—24no—
1187C2×C4⋊C4—24no—
1188C2×C4⋊C4—24no—
1189C2×C4⋊C4—24no—
1190C2×C4⋊C4—28no—
1191C2×C4⋊C4—28no—
1192C2×C4⋊C4—22no—
1193C2×C4⋊C4—22no—
1194C2×C4⋊C4—22no—
1195C2×C4⋊C4—22no—
1196C2×C4⋊C4C2×D412yes—
1197C2×C4⋊C4C2×D412yes—
1198C2×C4⋊C4C2×D412yes—
1199C2×C4⋊C4C2×D412yes—
1200C2×C4⋊C4C2×D411yescharacteristic
1201C2×C4⋊C4C2×D411yescharacteristic
1202C2×C4⋊C4C2×D411yescharacteristic
1203C2×C4⋊C4C2×D411yescharacteristic
1204C2×C4⋊C4C2×D412yes—
1205C2×C4⋊C4C2×D412yes—
1206C2×C4⋊C4C2×D412yes—
1207C2×C4⋊C4C2×D412yes—
1208C2×C4⋊C4C2×D412yes—
1209C2×C4⋊C4C2×D412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2411yescharacteristic
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C22⋊C4—22no—
1221C2×C22⋊C4—22no—
1222C2×C22⋊C4—22no—
1223C2×C22⋊C4—22no—
1224C2×C22⋊C4—22no—
1225C2×C22⋊C4—22no—
1226C2×C22⋊C4—21no—
1227C2×C22⋊C4—21no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—21no—
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—24no—
1234C2×C22⋊C4—21no—
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—21no—
1237C2×C22⋊C4—21no—
1238C2×C22⋊C4—28no—
1239C2×C22⋊C4—28no—
1240C2×C22⋊C4—28no—
1241C2×C22⋊C4—28no—
1242C2×C22⋊C4—24no—
1243C2×C22⋊C4—24no—
1244C2×C22⋊C4C2×D414yes—
1245C2×C22⋊C4C2×D414yes—
1246C2×C22⋊C4C2×D412yes—
1247C2×C22⋊C4C2×D412yes—
1248C2×C22⋊C4C2×D412yes—
1249C2×C22⋊C4C2×D412yes—
1250C2×C22⋊C4C2×D414yes—
1251C2×C22⋊C4C2×D414yes—
1252C2×C42—22no—
1253C2×C42—24no—
1254C2×C42—24no—
1255C2×C42—22no—
1256C2×C42—22no—
1257C2×C42—22no—
1258C2×C42—22no—
1259C2×C42—22no—
1260C2×C42—21no—
1261C2×C42—21no—
1262C2×C42—28no—
1263C2×C42—28no—
1264C2×C42—28no—
1265C2×C42—28no—
1266C2×C42—24no—
1267C2×C42—24no—
1268C2×C42C2×D414yes—
1269C2×C42C2×D414yes—
1270C2×C42C2×D412yes—
1271C2×C42C2×D412yes—
1272C2×C42C2414yes—
1273C2×C42C2412yes—
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276#107C2414yes—
1277#107C2414yes—
1278#107C2414yes—
1279#107C2414yes—
1280#107C2418yes—
1281#107C2418yes—
1282#106C2414yes—
1283#106C2414yes—
1284#106C2414yes—
1285#106C2414yes—
1286#106C2418yes—
1287#106C2418yes—
1288C4⋊C8C2418yes—
1289C4⋊C8C2418yes—
1290C4⋊C8C2418yes—
1291C4⋊C8C2418yes—
1292#103C2414yes—
1293#103C2414yes—
1294#103C2414yes—
1295#103C2414yes—
1296#103C2414yes—
1297#103C2414yes—
1298#103C2414yes—
1299#103C2414yes—
1300#103C2418yes—
1301#103C2418yes—
1302#103C2418yes—
1303#103C2418yes—
1304#102C2414yes—
1305#102C2414yes—
1306#102C2414yes—
1307#102C2414yes—
1308#102C2414yes—
1309#102C2414yes—
1310#102C2414yes—
1311#102C2414yes—
1312#102C2418yes—
1313#102C2418yes—
1314#102C2418yes—
1315#102C2418yes—
1316C22⋊C8C2411yescharacteristic
1317C22⋊C8C2411yescharacteristic
1318C22⋊C8C2412yes—
1319C22⋊C8C2411yescharacteristic
1320C22⋊C8C2411yescharacteristic
1321C22⋊C8C2412yes—
1322C22⋊C8C2412yes—
1323C22⋊C8C2412yes—
1324C22⋊C8C2412yes—
1325C22⋊C8C2412yes—
1326C22⋊C8C2414yes—
1327C22⋊C8C2414yes—
1328C22⋊C8C2414yes—
1329C22⋊C8C2414yes—
1330#97C2418yes—
1331#97C2418yes—
1332C4×C8C2418yes—
1333C4×C8C2418yes—
1334C24—28no—
1335C24—22no—
1336C24—24no—
1337C24—22no—
1338C24—22no—
1339C24—21no—
1340C24—21no—
1341C24—42no—
1342C24—82no—
1343C24—81no—
1344C24—82no—
1345C24C22×D411yescharacteristic
1346C24C22×D411yescharacteristic
1347C24C22×D411yescharacteristic
1348C24C22×D411yescharacteristic
1349C24C22×D411yescharacteristic
1350C24C22×D411yescharacteristic
1351C24C22×D411yescharacteristic
1352#41—216no—
1353#41—216no—
1354#41—216no—
1355#41—216no—
1356#41—216no—
1357#41—216no—
1358#41—216no—
1359#41—216no—
1360#41—216no—
1361#41—216no—
1362#41—28no—
1363#41—28no—
1364#41—28no—
1365#41—28no—
1366#41—216no—
1367#41—216no—
1368#41—28no—
1369#41—28no—
1370#41—28no—
1371#41—28no—
1372#41—28no—
1373#41—28no—
1374#41—44no—
1375#41—44no—
1376#41—44no—
1377#41—44no—
1378#41—88no—
1379#41—88no—
1380#41C2×#41116yes—
1381#41C2×#41116yes—
1382C2×Q8—28no—
1383C2×Q8—28no—
1384C2×Q8—28no—
1385C2×Q8—28no—
1386C2×Q8—28no—
1387C2×Q8—22no—
1388C2×Q8—22no—
1389C2×Q8—22no—
1390C2×Q8—21no—
1391C2×Q8—21no—
1392C2×Q8—24no—
1393C2×Q8—24no—
1394C2×Q8—24no—
1395C2×Q8—24no—
1396C2×Q8—24no—
1397C2×Q8C2×#4118yes—
1398C2×Q8C2512yes—
1399C2×Q8C2512yes—
1400C2×Q8C2514yes—
1401C2×D4—216no—
1402C2×D4—216no—
1403C2×D4—216no—
1404C2×D4—216no—
1405C2×D4—216no—
1406C2×D4—28no—
1407C2×D4—28no—
1408C2×D4—28no—
1409C2×D4—216no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—24no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—82no—
1441C2×D4—82no—
1442C2×D4—82no—
1443C2×D4—82no—
1444C2×D4C2×#4118yes—
1445C2×D4C2512yes—
1446C2×D4C2512yes—
1447C2×D4C2514yes—
1448C22×C4—28no—
1449C22×C4—216no—
1450C22×C4—216no—
1451C22×C4—216no—
1452C22×C4—216no—
1453C22×C4—216no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—216no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—28no—
1492C22×C4—28no—
1493C22×C4—28no—
1494C22×C4—28no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—88no—
1503C22×C4—82no—
1504C22×C4—82no—
1505C22×C4—88no—
1506C22×C4—82no—
1507C22×C4C22×D411yescharacteristic
1508C22×C4C22×D411yescharacteristic
1509C22×C4C22×D411yescharacteristic
1510C22×C4C22×D414yes—
1511C22×C4C22×D411yescharacteristic
1512C22×C4C22×D411yescharacteristic
1513C22×C4C22×D411yescharacteristic
1514C22×C4C22×D411yescharacteristic
1515C22×C4C22×D411yescharacteristic
1516C22×C4C22×D411yescharacteristic
1517C22×C4C22×D411yescharacteristic
1518C22×C4C22×D411yescharacteristic
1519C22×C4C22×D411yescharacteristic
1520C22×C4C22×D411yescharacteristic
1521C22×C4C22×D411yescharacteristic
1522C22×C4C22×D411yescharacteristic
1523C22×C4C22×D411yescharacteristic
1524C22×C4C22×D411yescharacteristic
1525C22×C4C22×D411yescharacteristic
1526C22×C4C22×D414yes—
1527C22×C4C22×D414yes—
1528C22×C4C22×D412yes—
1529C22×C4C22×D412yes—
1530C22×C4C22×D414yes—
1531C22×C4C22×D412yes—
1532C22×C4C22×D412yes—
1533C22×C4C22×D411yescharacteristic
1534C22×C4C22×D411yescharacteristic
1535C22×C4C22×D411yescharacteristic
1536C22×C4C2×#4118yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544Q16—28no—
1545Q16—28no—
1546Q16—216no—
1547SD16—28no—
1548SD16—28no—
1549SD16—216no—
1550SD16—28no—
1551SD16—28no—
1552SD16—216no—
1553D8—28no—
1554D8—28no—
1555D8—216no—
1556M16—28no—
1557M16—28no—
1558C2×C8—24no—
1559C2×C8—24no—
1560C2×C8—24no—
1561C2×C8—24no—
1562C2×C8—24no—
1563C2×C8—24no—
1564C2×C8—28no—
1565C2×C8C2512yes—
1566C2×C8C2512yes—
1567C2×C8C2518yes—
1568C2×C8C2512yes—
1569C2×C8C2512yes—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—28no—
1575C4⋊C4—28no—
1576C4⋊C4—28no—
1577C4⋊C4—28no—
1578C4⋊C4—22no—
1579C4⋊C4—22no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—22no—
1587C4⋊C4—22no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—22no—
1593C4⋊C4—22no—
1594C4⋊C4—22no—
1595C4⋊C4—22no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4C22×D412yes—
1605C4⋊C4C22×D412yes—
1606C4⋊C4C22×D412yes—
1607C4⋊C4C22×D412yes—
1608C4⋊C4C22×D414yes—
1609C4⋊C4C22×D414yes—
1610C4⋊C4C22×D412yes—
1611C4⋊C4C22×D412yes—
1612C4⋊C4C22×D412yes—
1613C4⋊C4C22×D412yes—
1614C4⋊C4C22×D414yes—
1615C4⋊C4C22×D414yes—
1616C4⋊C4C2514yes—
1617C4⋊C4C2514yes—
1618C4⋊C4C2512yes—
1619C4⋊C4C2512yes—
1620C4⋊C4C2512yes—
1621C4⋊C4C2512yes—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—22no—
1627C22⋊C4—22no—
1628C22⋊C4—22no—
1629C22⋊C4—22no—
1630C22⋊C4—22no—
1631C22⋊C4—22no—
1632C22⋊C4—22no—
1633C22⋊C4—22no—
1634C22⋊C4—22no—
1635C22⋊C4—22no—
1636C22⋊C4—22no—
1637C22⋊C4—22no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—28no—
1641C22⋊C4—28no—
1642C22⋊C4—22no—
1643C22⋊C4—22no—
1644C22⋊C4—22no—
1645C22⋊C4—22no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—22no—
1651C22⋊C4—22no—
1652C22⋊C4—22no—
1653C22⋊C4—22no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4C22×D414yes—
1659C22⋊C4C22×D414yes—
1660C22⋊C4C22×D414yes—
1661C22⋊C4C22×D414yes—
1662C22⋊C4C22×D414yes—
1663C22⋊C4C22×D414yes—
1664C22⋊C4C22×D414yes—
1665C22⋊C4C22×D414yes—
1666C42—24no—
1667C42—28no—
1668C42—28no—
1669C42—28no—
1670C42—28no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—24no—
1675C42—24no—
1676C42—24no—
1677C42—22no—
1678C42—22no—
1679C42—24no—
1680C42—22no—
1681C42—22no—
1682C42C22×D414yes—
1683C42C22×D414yes—
1684C42C22×D414yes—
1685C42C22×D414yes—
1686C42C22×D414yes—
1687C42C22×D414yes—
1688C42C2514yes—
1689C42C2514yes—
1690C23—28no—
1691C23—28no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—24no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—28no—
1703C23—22no—
1704C23—22no—
1705C23—41no—
1706C23—41no—
1707C23—41no—
1708C23—41no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—41no—
1716C23—44no—
1717C23—44no—
1718C23—42no—
1719C23—42no—
1720C23—82no—
1721C23—82no—
1722C23—82no—
1723C23—82no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—81no—
1728C23—88no—
1729C23—816no—
1730C23#52514yes—
1731C23C23×D411yescharacteristic
1732C23C23×D411yescharacteristic
1733C23C23×D411yescharacteristic
1734C23C23×D411yescharacteristic
1735C23C23×D411yescharacteristic
1736C23C23×D411yescharacteristic
1737C23C23×D411yescharacteristic
1738Q8—28no—
1739Q8—28no—
1740Q8—24no—
1741Q8—28no—
1742Q8—24no—
1743Q8—24no—
1744Q8—42no—
1745Q8—42no—
1746Q8—84no—
1747Q8—84no—
1748Q8C22×#4118yes—
1749D4—216no—
1750D4—216no—
1751D4—28no—
1752D4—28no—
1753D4—216no—
1754D4—216no—
1755D4—24no—
1756D4—24no—
1757D4—24no—
1758D4—28no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—44no—
1764D4—44no—
1765D4—44no—
1766D4—44no—
1767D4—42no—
1768D4—42no—
1769D4—84no—
1770D4—84no—
1771D4—82no—
1772D4—82no—
1773D4—82no—
1774D4—82no—
1775D4C22×#4118yes—
1776C2×C4—28no—
1777C2×C4—28no—
1778C2×C4—216no—
1779C2×C4—216no—
1780C2×C4—28no—
1781C2×C4—24no—
1782C2×C4—22no—
1783C2×C4—28no—
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—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—216no—
1798C2×C4—216no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—42no—
1816C2×C4—44no—
1817C2×C4—42no—
1818C2×C4—44no—
1819C2×C4—42no—
1820C2×C4—42no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—44no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—88no—
1833C2×C4—88no—
1834C2×C4—84no—
1835C2×C4—84no—
1836C2×C4—84no—
1837C2×C4—84no—
1838C2×C4—82no—
1839C2×C4—82no—
1840C2×C4—82no—
1841C2×C4—82no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4—81no—
1846C2×C4#52514yes—
1847C2×C4#52514yes—
1848C2×C4#52514yes—
1849C2×C4C23×D411yescharacteristic
1850C2×C4C23×D414yes—
1851C2×C4C23×D414yes—
1852C2×C4C23×D411yescharacteristic
1853C2×C4C23×D414yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D411yescharacteristic
1856C2×C4C23×D411yescharacteristic
1857C2×C4C23×D411yescharacteristic
1858C2×C4C23×D411yescharacteristic
1859C2×C4C23×D411yescharacteristic
1860C2×C4C22×#4114yes—
1861C2×C4C22×#4114yes—
1862C2×C4C22×#4114yes—
1863C2×C4C2611yescharacteristic
1864C8—22no—
1865C8—22no—
1866C8—22no—
1867C8—22no—
1868C8—28no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—28no—
1887C22—44no—
1888C22—44no—
1889C22—44no—
1890C22—44no—
1891C22—416no—
1892C22—44no—
1893C22—44no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—82no—
1901C22—82no—
1902C22—82no—
1903C22—88no—
1904C22—88no—
1905C22—162no—
1906C22—162no—
1907C22C2×#52512yes—
1908C22C2×#52512yes—
1909C22C2×#52512yes—
1910C22#358412yes—
1911C22C24×D411yescharacteristic
1912C4—24no—
1913C4—24no—
1914C4—24no—
1915C4—24no—
1916C4—21no—
1917C4—21no—
1918C4—28no—
1919C4—21no—
1920C4—21no—
1921C4—44no—
1922C4—42no—
1923C4—42no—
1924C4—44no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4C2×#52512yes—
1930C4C2×#52512yes—
1931C4C2×#52512yes—
1932C4C23×#4112yes—
1933C2—22no—
1934C2—22no—
1935C2—22no—
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—48no—
1941C2—82no—
1942C2—82no—
1943C2C22×#52511yescharacteristic
1944C2C2×#358411yescharacteristic
1945C2#6309011yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutator, Frattini, cosocleC2×C4C26
socleC22C24×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C22×#117 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62814C2semidirect
2. C2×#3428C2semidirect
3. #60589C2semidirect
4. #60588C2semidirect
5. #60587C2semidirect
6. #60586C2semidirect
7. #60585C2semidirect
8. #60584C2semidirect
9. #60583C2semidirect
10. #60582C2semidirect
11. #60581C2semidirect
12. #60580C2semidirect
13. #60579C2semidirect
14. #60578C2semidirect
15. #60557C2semidirect
16. #60546C2semidirect
17. #60536C2semidirect
18. #60511C2semidirect
19. C2×#3091C2semidirect
20. #60489C2semidirect
21. #60422C2semidirect
22. #60359C2semidirect
23. C2×#3002C2semidirect
24. #60167C2semidirect
25. #60161C2semidirect
26. C2×#2924C2semidirect
31. #3495C22semidirect
32. #3495C22semidirect
33. #3495C22semidirect
35. #3494C22semidirect
36. #3494C22semidirect
37. #3494C22semidirect
48. #3458C22semidirect
49. #3455C22semidirect
50. #3449C22semidirect
51. #3444C22semidirect
61. #3428C22semidirect
62. #3428C22semidirect
63. #3428C22semidirect
64. #3428C22semidirect
65. #3428C22semidirect
68. C2×#520C22semidirect
69. C2×#520C22semidirect
70. C2×#519C22semidirect
72. C2×#518C22semidirect
74. C2×C4×#41C22semidirect
78. #3127C22semidirect
79. #3126C22semidirect
80. #3125C22semidirect
81. #3125C22semidirect
82. #3124C22semidirect
83. #3124C22semidirect
84. #3123C22semidirect
85. #3122C22semidirect
86. #3121C22semidirect
87. #3121C22semidirect
88. #3120C22semidirect
89. #3120C22semidirect
90. #3119C22semidirect
91. #3119C22semidirect
92. #3118C22semidirect
93. #3118C22semidirect
94. #3117C22semidirect
95. #3117C22semidirect
96. #3116C22semidirect
97. #3115C22semidirect
98. #3114C22semidirect
99. #3114C22semidirect
100. #3113C22semidirect
101. #3112C22semidirect
102. #3111C22semidirect
103. #3111C22semidirect
104. #3110C22semidirect
105. #3109C22semidirect
106. #3108C22semidirect
107. #3108C22semidirect
108. #3107C22semidirect
109. #3106C22semidirect
110. #3105C22semidirect
111. #3105C22semidirect
112. #3104C22semidirect
113. #3103C22semidirect
114. #3102C22semidirect
115. #3102C22semidirect
116. #3101C22semidirect
117. #3100C22semidirect
118. #3095C22semidirect
119. #3095C22semidirect
120. #3094C22semidirect
121. #3094C22semidirect
122. #3093C22semidirect
123. #3092C22semidirect
124. #3092C22semidirect
127. #3091C22semidirect
128. #3091C22semidirect
129. #3091C22semidirect
130. #3091C22semidirect
131. #3091C22semidirect
132. #3091C22semidirect
133. C2×#484C22semidirect
134. C2×#481C22semidirect
135. C2×#485C22semidirect
136. C2×#482C22semidirect
137. C2×#483C22semidirect
138. C2×#480C22semidirect
139. #3084C22semidirect
140. #3084C22semidirect
141. #3083C22semidirect
142. #3083C22semidirect
143. #3082C22semidirect
144. #3082C22semidirect
145. #3081C22semidirect
146. #3081C22semidirect
147. #3076C22semidirect
148. #3076C22semidirect
149. #3046C22semidirect
150. #3046C22semidirect
151. #3045C22semidirect
152. #3045C22semidirect
153. #3044C22semidirect
154. #3043C22semidirect
155. #3042C22semidirect
156. #3041C22semidirect
157. #3035C22semidirect
158. #3035C22semidirect
159. #3007C22semidirect
160. #3007C22semidirect
161. #3006C22semidirect
162. #3006C22semidirect
169. #3002C22semidirect
170. #3002C22semidirect
171. #3002C22semidirect
172. #3002C22semidirect
173. #3002C22semidirect
174. C2×#452C22semidirect
175. C2×#449C22semidirect
176. C2×#451C22semidirect
177. C2×#448C22semidirect
178. C2×#450C22semidirect
179. C2×#447C22semidirect
180. #2952C22semidirect
181. #2952C22semidirect
182. #2951C22semidirect
183. #2951C22semidirect
184. #2950C22semidirect
185. #2949C22semidirect
186. #2949C22semidirect
187. #2948C22semidirect
188. #2947C22semidirect
189. #2947C22semidirect
190. #2947C22semidirect
191. #2947C22semidirect
192. #2946C22semidirect
193. #2946C22semidirect
194. #2946C22semidirect
195. #2946C22semidirect
196. #2943C22semidirect
197. #2943C22semidirect
198. C4×#135C22semidirect
199. C4×#135C22semidirect
200. #2924C22semidirect
201. #2924C22semidirect
202. #2924C22semidirect
203. #2924C22semidirect
204. #2924C22semidirect
205. #2924C22semidirect
206. C2×#433C22semidirect
207. C2×#432C22semidirect
208. C2×#431C22semidirect
209. #2911C22semidirect
210. C2×#427C22semidirect
211. C2×#424C22semidirect
213. #2896C22semidirect
215. C2×#416C22semidirect
218. C2×#405C22semidirect
308. #544C23semidirect
309. #544C23semidirect
313. #542C23semidirect
314. #542C23semidirect
316. #541C23semidirect
318. #540C23semidirect
326. #536C23semidirect
328. #535C23semidirect
333. #533C23semidirect
334. #533C23semidirect
336. #532C23semidirect
337. #532C23semidirect
348. #529C23semidirect
349. #529C23semidirect
410. #520C23semidirect
411. #520C23semidirect
419. #519C23semidirect
435. #518C23semidirect
454. C4×#41C23semidirect
455. C4×#41C23semidirect
527. #485C23semidirect
528. #485C23semidirect
529. #485C23semidirect
533. #484C23semidirect
534. #484C23semidirect
538. #483C23semidirect
539. #483C23semidirect
543. #482C23semidirect
544. #482C23semidirect
545. #482C23semidirect
549. #481C23semidirect
550. #481C23semidirect
554. #480C23semidirect
555. #480C23semidirect
556. #479C23semidirect
557. #479C23semidirect
558. #479C23semidirect
559. #479C23semidirect
560. #478C23semidirect
561. #478C23semidirect
562. #478C23semidirect
563. #478C23semidirect
564. #477C23semidirect
565. #477C23semidirect
566. #476C23semidirect
567. #476C23semidirect
568. #475C23semidirect
569. #475C23semidirect
570. #474C23semidirect
571. #474C23semidirect
572. #464C23semidirect
573. #464C23semidirect
574. #464C23semidirect
575. #464C23semidirect
576. #463C23semidirect
577. #463C23semidirect
578. #463C23semidirect
579. #463C23semidirect
580. #462C23semidirect
581. #462C23semidirect
582. #461C23semidirect
583. #461C23semidirect
584. #460C23semidirect
585. #460C23semidirect
586. #459C23semidirect
587. #459C23semidirect
620. #442C23semidirect
621. #442C23semidirect
622. #442C23semidirect
623. #442C23semidirect
624. #441C23semidirect
625. #441C23semidirect
626. #441C23semidirect
627. #441C23semidirect
628. #440C23semidirect
629. #440C23semidirect
630. #440C23semidirect
631. #440C23semidirect
632. #440C23semidirect
633. #440C23semidirect
634. #440C23semidirect
635. #440C23semidirect
636. C4×Q16C23semidirect
637. C4×Q16C23semidirect
638. C4×Q16C23semidirect
639. C4×Q16C23semidirect
640. C4×SD16C23semidirect
641. C4×SD16C23semidirect
642. C4×SD16C23semidirect
643. C4×SD16C23semidirect
644. C4×SD16C23semidirect
645. C4×SD16C23semidirect
646. C4×SD16C23semidirect
647. C4×SD16C23semidirect
648. C4×D8C23semidirect
649. C4×D8C23semidirect
650. C4×D8C23semidirect
651. C4×D8C23semidirect
654. #433C23semidirect
655. #433C23semidirect
658. #432C23semidirect
661. #431C23semidirect
664. #428C23semidirect
665. #428C23semidirect
668. #427C23semidirect
669. #427C23semidirect
670. #427C23semidirect
671. C2×#107C23semidirect
672. C2×#107C23semidirect
673. C2×#106C23semidirect
674. C2×#106C23semidirect
677. #424C23semidirect
678. #424C23semidirect
679. C2×C4⋊C8C23semidirect
680. C2×C4⋊C8C23semidirect
687. #417C23semidirect
688. #417C23semidirect
696. #416C23semidirect
697. #416C23semidirect
698. #416C23semidirect
701. C2×#103C23semidirect
702. C2×#103C23semidirect
705. C2×#102C23semidirect
706. C2×#102C23semidirect
724. #405C23semidirect
725. #405C23semidirect
726. C2×#97C23semidirect
727. C2×C4×C8C23semidirect
763. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
#628142
C2×#34282
#605892
#605882
#605872
#605862
#605852
#605842
#605832
#605822
#605812
#605802
#605792
#605782
#605572
#605462
#605362
#605112
C2×#30912
#604892
#604222
#603592
C2×#30022
#601672
#601612
C2×#29242