Finite Group Databasebeta

← #10576312

Subgroups — #10576312

Order 512.

7624 conjugacy classes of subgroups.

The subgroup lattice has 1775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62814C211yesmaximal, characteristic, complemented
2#62811C211yesmaximal, characteristic, complemented
3#61182C214yesmaximal, complemented
4#61181C214yesmaximal, complemented
5#61180C214yesmaximal, complemented
6#61179C214yesmaximal, complemented
7#61178C214yesmaximal, complemented
8#61177C214yesmaximal, complemented
9#61176C214yesmaximal, complemented
10#61175C214yesmaximal, complemented
11#61154C218yesmaximal, complemented
12#61141C218yesmaximal, complemented
13#60612C211yesmaximal, characteristic, complemented
14#60516C211yesmaximal, characteristic, complemented
15#60511C211yesmaximal, characteristic, complemented
16#60489C211yesmaximal, characteristic, complemented
17#60453C211yesmaximal, characteristic, complemented
18C2×#3054C211yesmaximal, characteristic, complemented
19#60422C211yesmaximal, characteristic, complemented
20#60366C211yesmaximal, characteristic, complemented
21#60359C211yesmaximal, characteristic, complemented
22#60161C211yesmaximal, characteristic, complemented
23C2×#2930C211yesmaximal, characteristic, complemented
24#60086C211yesmaximal, characteristic, complemented
25C2×#2896C211yesmaximal, characteristic, complemented
26C2×#585C2211yescharacteristic
27C23×#41C2211yescharacteristic
28C2×#575C2211yescharacteristic
29C2×#575C2211yescharacteristic, complemented
30C22×#135C2211yescharacteristic, complemented
31C22×#131C2211yescharacteristic, complemented
32C23×M16C2211yescharacteristic, complemented
33#3495—22no—
34#3495C2214yescomplemented
35#3494—22no—
36#3494C2214yescomplemented
37#3493C2214yescomplemented
38#3492C2214yescomplemented
39#3491—22no—
40#3490—22no—
41#3489—22no—
42#3489C2214yes—
43#3488—22no—
44#3488C2214yes—
45#3487C2212yescomplemented
46#3486C2212yescomplemented
47#3485—22no—
48#3485C2212yescomplemented
49#3484—22no—
50#3484C2212yescomplemented
51#3475—24no—
52#3475C2218yescomplemented
53D4×#41—24no—
54D4×#41C2218yescomplemented
55#3458C2211yescharacteristic, complemented
56#3455—22no—
57#3449—22no—
58#3449C2211yescharacteristic
59#3449C2211yescharacteristic
60#3449C2211yescharacteristic, complemented
61#3444—22no—
62C2×#525—22no—
63C2×#525C2211yescharacteristic
64C2×#525C2211yescharacteristic
65C2×#525C2211yescharacteristic, complemented
66#3428C2211yescharacteristic
67#3428C2211yescharacteristic, complemented
68#3428C2211yescharacteristic, complemented
69C22×#117C2211yescharacteristic, complemented
70#3333C2218yescomplemented
71#3332C2218yescomplemented
72#3331C2218yescomplemented
73#3330C2218yescomplemented
74#3329C2218yescomplemented
75#3328C2218yescomplemented
76#3327C2218yescomplemented
77#3327C2218yescomplemented
78#3326C2218yescomplemented
79#3326C2218yescomplemented
80#3325C2218yescomplemented
81#3324C2218yescomplemented
82#3323C2218yescomplemented
83#3323C2218yescomplemented
84#3322C2218yescomplemented
85#3322C2218yescomplemented
86#3321C2218yescomplemented
87#3320C2218yescomplemented
88#3319C2218yescomplemented
89#3318C2218yescomplemented
90#3317C2218yescomplemented
91#3316C2218yescomplemented
92#3315C2218yescomplemented
93#3314C2218yescomplemented
94#3313C2218yescomplemented
95#3312C2218yescomplemented
96#3311C2218yescomplemented
97#3310C2218yescomplemented
98#3309C2218yescomplemented
99#3308C2218yescomplemented
100#3307C2218yescomplemented
101#3306C2218yescomplemented
102#3137C2214yescomplemented
103#3137C2214yescomplemented
104#3136C2214yescomplemented
105#3136C2214yescomplemented
106#3135C2214yescomplemented
107#3131C2214yescomplemented
108#3099C2214yescomplemented
109#3098C2214yescomplemented
110#3097C2214yescomplemented
111#3096C2214yescomplemented
112#3095C2214yescomplemented
113#3094C2214yescomplemented
114#3093C2214yescomplemented
115#3092C2214yescomplemented
116#3091C2218yescomplemented
117#3091C2218yescomplemented
118#3084C2214yescomplemented
119#3083C2214yescomplemented
120#3082C2214yescomplemented
121#3081C2214yescomplemented
122#3076C2218yescomplemented
123#3063C2214yescomplemented
124#3063C2214yescomplemented
125#3062C2214yescomplemented
126#3062C2214yescomplemented
127#3054C2214yescomplemented
128#3054C2214yescomplemented
129#3054C2214yescomplemented
130#3054C2214yescomplemented
131#3054C2214yescomplemented
132C2×#470C2212yescomplemented
133C2×#469C2212yescomplemented
134C2×#468C2212yescomplemented
135C2×#468C2212yescomplemented
136#3050C2214yescomplemented
137#3046C2214yescomplemented
138#3045C2214yescomplemented
139#3044C2212yescomplemented
140#3043C2212yescomplemented
141#3042C2212yescomplemented
142#3041C2212yescomplemented
143#3035C2218yescomplemented
144#3013C2214yescomplemented
145#3012C2214yescomplemented
146#3011C2212yescomplemented
147#3010C2212yescomplemented
148#3009C2212yescomplemented
149#3008C2212yescomplemented
150#3007C2214yescomplemented
151#3006C2214yescomplemented
152#3005C2212yescomplemented
153#3005C2212yescomplemented
154#3004C2212yescomplemented
155#3003C2212yescomplemented
156#3002C2218yescomplemented
157#3002C2218yescomplemented
158#2947C2214yescomplemented
159#2947C2214yescomplemented
160#2946C2214yescomplemented
161#2946C2214yescomplemented
162#2943C2214yescomplemented
163C4×#135C2214yescomplemented
164#2930C2214yescomplemented
165#2930C2214yescomplemented
166#2930C2214yescomplemented
167#2930C2214yescomplemented
168C2×#436C2214yescomplemented
169C2×#435C2214yescomplemented
170#2911C2211yescharacteristic, complemented
171#2911C2211yescharacteristic, complemented
172C2×#427C2211yescharacteristic, complemented
173C2×#424C2211yescharacteristic, complemented
174#2898C2214yescomplemented
175#2898C2214yescomplemented
176#2897C2214yescomplemented
177#2897C2214yescomplemented
178#2896C2211yescharacteristic
179#2896C2211yescharacteristic, complemented
180#2896C2214yescomplemented
181#2896C2214yescomplemented
182#2896C2214yescomplemented
183#2896C2214yescomplemented
184#2896C2211yescharacteristic, complemented
185#2896C2211yescharacteristic, complemented
186#2896C2214yescomplemented
187C2×#417C2212yescomplemented
188C2×#417C2212yescomplemented
189C2×#419C2212yescomplemented
190C2×#418C2212yescomplemented
191C2×#416C2211yescharacteristic
192C2×#416C2211yescharacteristic
193C2×#416C2211yescharacteristic, complemented
194C2×#416C2211yescharacteristic, complemented
195C2×#416C2211yescharacteristic, complemented
196C2×#416C2211yescharacteristic, complemented
197C2×#416C2214yescomplemented
198C2×#408C2211yescharacteristic, complemented
199C2×#407C2211yescharacteristic, complemented
200C2×#405C2211yescharacteristic, complemented
201#585—28no—
202#585—44no—
203C2×2−1+4—21no—
204C2×2−1+4C2312yes—
205C2×2−1+4C2312yes—
206C2×H(5,𝔽2)—22no—
207C2×H(5,𝔽2)—21no—
208C2×H(5,𝔽2)C2312yes—
209C2×H(5,𝔽2)C2312yes—
210C22×#41—22no—
211C22×#41—22no—
212C22×#41—21no—
213C22×#41—22no—
214C22×#41—21no—
215C22×#41—22no—
216C22×#41—28no—
217C22×#41—44no—
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C22×#41C2311yescharacteristic
222C22×#41C2311yescharacteristic
223C22×#41C2314yes—
224C22×#41C2314yes—
225C22×#41C2314yes—
226C22×#41C2311yescharacteristic
227C22×#41C2311yescharacteristic
228C23×Q8C2311yescharacteristic
229C23×D4—21no—
230C23×D4C2311yescharacteristic
231C24×C4—21no—
232C24×C4C2311yescharacteristic
233#575—28no—
234#575—44no—
235C2×#137C2312yes—
236C2×#137C2312yes—
237C2×#137C2312yes—
238C2×#137C2312yes—
239C2×AGL(1,ℤ/8)C2312yes—
240C2×AGL(1,ℤ/8)C2312yes—
241C2×AGL(1,ℤ/8)C2312yes—
242C2×AGL(1,ℤ/8)C2312yes—
243C2×#135—44no—
244C2×#135C2314yes—
245C2×#135C2314yes—
246C2×#135C2314yes—
247C2×#135C2314yescomplemented
248C22×Q16C2311yescharacteristic, complemented
249C22×SD16C2311yescharacteristic, complemented
250C22×SD16C2311yescharacteristic, complemented
251C22×D8C2311yescharacteristic, complemented
252C2×#131—44no—
253C2×#131C2314yes—
254C2×#131C2314yescomplemented
255C22×M16—44no—
256C22×M16C2311yescharacteristic
257C22×M16C2311yescharacteristic
258C22×M16C2312yes—
259C22×M16C2312yes—
260C22×M16C2312yes—
261C22×M16C2312yes—
262C22×M16C2312yes—
263C22×M16C2312yes—
264C22×M16C2312yescomplemented
265C23×C8C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2312yescomplemented
268#556—24no—
269#556C2318yes—
270#555—24no—
271#555C2318yes—
272#554—24no—
273#554C2318yescomplemented
274#553—24no—
275#553—24no—
276#553C2318yes—
277#553C2318yescomplemented
278#552—28no—
279#552—24no—
280#552—24no—
281#552—28no—
282#552C2318yes—
283#552C2318yescomplemented
284#551—28no—
285#551—28no—
286#551—28no—
287#551—28no—
288#550—24no—
289#550C2318yes—
290D4×Q8—24no—
291D4×Q8C2318yes—
292#548—24no—
293#548—24no—
294#548C2318yes—
295#548C2318yes—
296#547—28no—
297#547—24no—
298#547—24no—
299#547—28no—
300#547C2318yes—
301#547C2318yescomplemented
302#546—28no—
303#546—28no—
304#546—24no—
305#546—24no—
306#546—28no—
307#546—28no—
308#546—28no—
309#546—28no—
310#546C2318yes—
311#546C2318yes—
312D42—28no—
313D42—24no—
314D42—28no—
315D42C2318yes—
316#544—22no—
317#544C2314yes—
318#544C2314yescomplemented
319#543—22no—
320#542—24no—
321#542—24no—
322#541—24no—
323#540—24no—
324#539—28no—
325#538—28no—
326#537—24no—
327#537—24no—
328#537—22no—
329#537C2314yes—
330#537C2314yes—
331#536—21no—
332#536—21no—
333#536—24no—
334#536—24no—
335#536C2312yes—
336#536C2312yes—
337#536C2312yes—
338#536C2312yescomplemented
339#535—21no—
340#535—21no—
341#535—24no—
342#535—24no—
343#535C2312yes—
344#535C2312yes—
345#535C2312yes—
346#535C2312yescomplemented
347#534—22no—
348#534—22no—
349#534—24no—
350#534—24no—
351#534—22no—
352#533—24no—
353#533—22no—
354#533—22no—
355#533C2314yescomplemented
356#532—22no—
357#532—22no—
358#532—24no—
359#532—28no—
360#532C2314yes—
361#529—28no—
362#529—24no—
363#529—24no—
364#529—28no—
365#529—28no—
366#529—28no—
367#525—22no—
368#525—22no—
369#525—21no—
370#525—21no—
371#525—22no—
372#525—21no—
373#525—21no—
374#525—22no—
375#525—24no—
376#525—24no—
377#525—24no—
378#525—24no—
379#525—28no—
380#525—28no—
381#525—28no—
382#525—22no—
383#525—22no—
384#525D412yes—
385#525D412yes—
386#525D414yes—
387#525C2314yes—
388#525C2314yes—
389#525C2312yes—
390#525C2312yes—
391#525C2314yes—
392#525C2312yes—
393#525C2312yes—
394#525C2312yes—
395#525C2312yes—
396#525C2314yes—
397#525C2314yescomplemented
398C2×#123—21no—
399C2×#123—21no—
400C2×#123—24no—
401C2×#123D412yes—
402C2×C22⋊Q8—24no—
403C2×C22⋊Q8D412yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×#121—24no—
407C2×#121D412yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#120—21no—
411C2×#120—21no—
412C2×#120—24no—
413C2×#120D412yes—
414#520—22no—
415#520—22no—
416#520C2314yes—
417#520C2314yes—
418#520C2314yes—
419#520C2314yescomplemented
420#519—21no—
421#519C2312yes—
422#519C2312yescomplemented
423#518—22no—
424#518—21no—
425#518—22no—
426#518—22no—
427#518C2312yes—
428#518C2312yescomplemented
429C4×#41—22no—
430C4×#41—22no—
431C4×#41—28no—
432C4×#41—22no—
433C4×#41—22no—
434C4×#41C2314yes—
435C4×#41C2314yescomplemented
436C2×C4×D4—22no—
437C2×C4×D4—22no—
438C2×C4×D4—28no—
439C2×C4×D4C2314yes—
440C2×#117—21no—
441C2×#117—22no—
442C2×#117—21no—
443C2×#117—22no—
444C2×#117—22no—
445C2×#117—22no—
446C2×#117C2314yes—
447C2×#117C2312yes—
448C2×#117C2314yes—
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2314yescomplemented
455C22×C4⋊C4C2312yes—
456C22×C22⋊C4—21no—
457C22×C42—21no—
458#491C2318yescomplemented
459#490C2318yescomplemented
460#489C2318yescomplemented
461#489C2318yescomplemented
462#488C2318yescomplemented
463#488C2318yescomplemented
464#487C2318yescomplemented
465#486C2318yescomplemented
466#485C2318yes—
467#485C2318yes—
468#485C2318yescomplemented
469#485C2318yescomplemented
470#484C2318yescomplemented
471#484C2318yescomplemented
472#483C2318yescomplemented
473#483C2318yescomplemented
474#482C2318yes—
475#482C2318yes—
476#482C2318yescomplemented
477#482C2318yescomplemented
478#481C2318yescomplemented
479#481C2318yescomplemented
480#480C2318yescomplemented
481#480C2318yescomplemented
482#479C2318yescomplemented
483#479C2318yescomplemented
484#478C2318yescomplemented
485#478C2318yescomplemented
486#477C2318yescomplemented
487#476C2318yescomplemented
488#475C2318yescomplemented
489#474C2318yescomplemented
490#470C2314yes—
491#470C2314yes—
492#470C2318yescomplemented
493#470C2314yescomplemented
494#470C2314yescomplemented
495#469C2314yes—
496#469C2314yes—
497#469C2314yescomplemented
498#469C2318yescomplemented
499#469C2314yescomplemented
500#468C2314yes—
501#468C2314yes—
502#468C2314yes—
503#468C2314yes—
504#468C2318yescomplemented
505#468C2314yescomplemented
506#468C2314yescomplemented
507#468C2318yescomplemented
508#468C2314yescomplemented
509#468C2314yescomplemented
510#467C2318yescomplemented
511#466C2318yescomplemented
512#465C2318yescomplemented
513#465C2318yescomplemented
514#464C2318yescomplemented
515#464C2318yescomplemented
516#463C2318yescomplemented
517#463C2318yescomplemented
518#462C2318yescomplemented
519#461C2318yescomplemented
520#460C2318yescomplemented
521#459C2318yescomplemented
522#452C2318yes—
523#452C2318yes—
524#452C2318yescomplemented
525#452C2318yescomplemented
526#451C2318yes—
527#451C2318yescomplemented
528#450C2318yes—
529#450C2318yescomplemented
530#449C2318yes—
531#449C2318yes—
532#449C2318yescomplemented
533#449C2318yescomplemented
534#448C2318yes—
535#448C2318yescomplemented
536#447C2318yes—
537#447C2318yescomplemented
538#442C2318yescomplemented
539#441C2318yescomplemented
540#440C2318yescomplemented
541#440C2318yescomplemented
542C4×Q16C2318yescomplemented
543C4×SD16C2318yescomplemented
544C4×SD16C2318yescomplemented
545C4×D8C2318yescomplemented
546#436C2318yes—
547#436C2318yes—
548#436C2318yescomplemented
549#436C2318yescomplemented
550#435C2318yes—
551#435C2318yes—
552#435C2318yescomplemented
553#435C2318yescomplemented
554#428C2314yes—
555#428C2314yes—
556#428C2314yescomplemented
557#428C2314yescomplemented
558#427C2314yes—
559#427C2314yescomplemented
560#427C2314yescomplemented
561#427C2314yescomplemented
562C2×#107C2312yescomplemented
563C2×#106C2312yescomplemented
564#424C2314yes—
565#424C2312yescomplemented
566#424C2312yescomplemented
567C2×C4⋊C8C2314yescomplemented
568#419C2314yes—
569#419C2314yes—
570#419C2312yes—
571#419C2312yes—
572#419C2314yes—
573#419C2314yes—
574#419C2318yescomplemented
575#419C2312yescomplemented
576#419C2312yescomplemented
577#418C2312yes—
578#418C2312yes—
579#418C2314yes—
580#418C2314yes—
581#418C2314yes—
582#418C2314yes—
583#418C2312yescomplemented
584#418C2312yescomplemented
585#418C2318yescomplemented
586#417C2314yes—
587#417C2314yes—
588#417C2314yes—
589#417C2314yes—
590#417C2314yes—
591#417C2314yes—
592#417C2314yes—
593#417C2314yes—
594#417C2314yes—
595#417C2314yes—
596#417C2314yes—
597#417C2314yes—
598#417C2318yescomplemented
599#417C2318yescomplemented
600#416C2314yes—
601#416C2314yes—
602#416C2312yes—
603#416C2312yes—
604#416C2314yes—
605#416C2314yes—
606#416C2312yes—
607#416C2312yes—
608#416C2312yes—
609#416C2312yes—
610#416C2314yes—
611#416C2314yes—
612#416C2312yes—
613#416C2312yes—
614#416C2314yes—
615#416C2314yes—
616#416C2314yescomplemented
617#416C2314yescomplemented
618#416C2312yescomplemented
619#416C2312yescomplemented
620#416C2318yescomplemented
621#416C2318yescomplemented
622#416C2312yescomplemented
623#416C2312yescomplemented
624C2×#103C2312yes—
625C2×#103C2312yes—
626C2×#103C2312yes—
627C2×#103C2312yes—
628C2×#103C2312yescomplemented
629C2×#103C2318yescomplemented
630C2×#103C2312yescomplemented
631C2×#102C2312yes—
632C2×#102C2312yes—
633C2×#102C2312yes—
634C2×#102C2312yes—
635C2×#102C2312yescomplemented
636C2×#102C2318yescomplemented
637C2×#102C2312yescomplemented
638#408C2314yes—
639#408C2312yescomplemented
640#408C2312yescomplemented
641#407C2312yes—
642#407C2312yes—
643#407C2314yes—
644C2×C22⋊C8C2314yes—
645C2×C22⋊C8C2314yescomplemented
646#405C2314yes—
647#405C2314yescomplemented
648C2×#97C2312yescomplemented
649C2×C4×C8C2312yescomplemented
650C25—21no—
651C25C2×D411yescharacteristic
6522−1+4—28no—
6532−1+4—28no—
6542−1+4—44no—
6552−1+4—44no—
6562−1+4—48no—
657H(5,𝔽2)—28no—
658H(5,𝔽2)—28no—
659H(5,𝔽2)—416no—
660H(5,𝔽2)—44no—
661H(5,𝔽2)—44no—
662H(5,𝔽2)—48no—
663C2×#41—22no—
664C2×#41—22no—
665C2×#41—24no—
666C2×#41—22no—
667C2×#41—24no—
668C2×#41—22no—
669C2×#41—28no—
670C2×#41—21no—
671C2×#41—21no—
672C2×#41—21no—
673C2×#41—21no—
674C2×#41—21no—
675C2×#41—24no—
676C2×#41—24no—
677C2×#41—21no—
678C2×#41—21no—
679C2×#41—24no—
680C2×#41—21no—
681C2×#41—22no—
682C2×#41—24no—
683C2×#41—24no—
684C2×#41—24no—
685C2×#41—22no—
686C2×#41—24no—
687C2×#41—24no—
688C2×#41—24no—
689C2×#41—216no—
690C2×#41—216no—
691C2×#41—216no—
692C2×#41—24no—
693C2×#41—24no—
694C2×#41—24no—
695C2×#41—24no—
696C2×#41—24no—
697C2×#41—24no—
698C2×#41—24no—
699C2×#41—24no—
700C2×#41—48no—
701C2×#41—42no—
702C2×#41—42no—
703C2×#41—48no—
704C2×#41—48no—
705C2×#41—48no—
706C2×#41—48no—
707C2×#41—416no—
708C2×#41—416no—
709C2×#41—416no—
710C2×#41—416no—
711C2×#41C2×D412yes—
712C2×#41C2×D412yes—
713C2×#41#4118yescomplemented
714C2×#41C2412yes—
715C2×#41C2412yes—
716C2×#41C2412yes—
717C2×#41C2412yes—
718C2×#41C2412yes—
719C2×#41C2412yes—
720C2×#41C2414yes—
721C2×#41C2414yes—
722C2×#41C2414yes—
723C2×#41C2414yes—
724C2×#41C2412yes—
725C2×#41C2412yes—
726C2×#41C2412yes—
727C2×#41C2412yes—
728C22×Q8—22no—
729C22×Q8—22no—
730C22×Q8—21no—
731C22×Q8—22no—
732C22×Q8—24no—
733C22×Q8—42no—
734C22×Q8C2×D411yescharacteristic
735C22×Q8C2411yescharacteristic
736C22×Q8C2411yescharacteristic
737C22×Q8C2411yescharacteristic
738C22×Q8C2414yes—
739C22×Q8C2414yes—
740C22×Q8C2411yescharacteristic
741C22×D4—21no—
742C22×D4—24no—
743C22×D4—21no—
744C22×D4—21no—
745C22×D4—21no—
746C22×D4—21no—
747C22×D4—21no—
748C22×D4—24no—
749C22×D4—24no—
750C22×D4—24no—
751C22×D4—22no—
752C22×D4—22no—
753C22×D4—24no—
754C22×D4—22no—
755C22×D4—24no—
756C22×D4—22no—
757C22×D4—28no—
758C22×D4—21no—
759C22×D4—22no—
760C22×D4—42no—
761C22×D4—48no—
762C22×D4C2×D412yes—
763C22×D4C2×D411yescharacteristic
764C22×D4C2×D414yes—
765C22×D4C2411yescharacteristic
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2411yescharacteristic
771C23×C4—21no—
772C23×C4—24no—
773C23×C4—24no—
774C23×C4—21no—
775C23×C4—22no—
776C23×C4—21no—
777C23×C4—24no—
778C23×C4—24no—
779C23×C4—21no—
780C23×C4—24no—
781C23×C4—21no—
782C23×C4—21no—
783C23×C4—21no—
784C23×C4—48no—
785C23×C4C2×D412yes—
786C23×C4C2×D412yes—
787C23×C4C2×D411yescharacteristic
788C23×C4C2×D411yescharacteristic
789C23×C4C2×D411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2411yescharacteristic
796#137—28no—
797#137—28no—
798#137—44no—
799#137—44no—
800AGL(1,ℤ/8)—28no—
801AGL(1,ℤ/8)—28no—
802AGL(1,ℤ/8)—44no—
803AGL(1,ℤ/8)—44no—
804#135—216no—
805#135—48no—
806#135—48no—
807#135—48no—
808C2×Q16—42no—
809C2×Q16C2414yes—
810C2×Q16C2414yes—
811C2×Q16C2414yes—
812C2×SD16—42no—
813C2×SD16—42no—
814C2×SD16C2414yes—
815C2×SD16C2414yes—
816C2×SD16C2414yes—
817C2×SD16C2414yes—
818C2×SD16C2414yes—
819C2×SD16C2414yes—
820C2×D8—42no—
821C2×D8C2414yes—
822C2×D8C2414yes—
823C2×D8C2414yes—
824#131—48no—
825#131—48no—
826C2×M16—24no—
827C2×M16—24no—
828C2×M16—44no—
829C2×M16—44no—
830C2×M16—44no—
831C2×M16—44no—
832C2×M16—44no—
833C2×M16—44no—
834C2×M16—44no—
835C2×M16C2412yes—
836C2×M16C2412yes—
837C2×M16C2412yes—
838C2×M16C2412yes—
839C2×M16C2412yes—
840C2×M16C2412yes—
841C2×M16C2412yes—
842C2×M16C2412yes—
843C2×M16C2412yes—
844C2×M16C2412yes—
845C2×M16C2412yes—
846C2×M16C2412yes—
847C2×M16C2418yes—
848C22×C8—24no—
849C22×C8—24no—
850C22×C8—44no—
851C22×C8C2411yescharacteristic
852C22×C8C2411yescharacteristic
853C22×C8C2412yes—
854C22×C8C2412yes—
855C22×C8C2411yescharacteristic
856C22×C8C2411yescharacteristic
857C22×C8C2412yes—
858C22×C8C2412yes—
859C22×C8C2412yes—
860C22×C8C2412yes—
861C22×C8C2418yes—
862C4⋊Q8—22no—
863C4⋊Q8—22no—
864C4⋊Q8—24no—
865C4⋊Q8—28no—
866C4⋊Q8—24no—
867C4⋊Q8C2414yes—
868C4⋊Q8C2418yes—
869#127—22no—
870#127—28no—
871#127—22no—
872#127C2414yes—
873#126—28no—
874#126—28no—
875#126—28no—
876#126—28no—
877#126—28no—
878#126—28no—
879#125—24no—
880#125—28no—
881#125—28no—
882#125—28no—
883#125—24no—
884#125C2418yes—
885#124—22no—
886#124—22no—
887#124—22no—
888#124—28no—
889#124—22no—
890#124—28no—
891#124—28no—
892#124—28no—
893#124—28no—
894#124C2414yes—
895#124C2414yes—
896#123—24no—
897#123—28no—
898#123—24no—
899#123—28no—
900#123—22no—
901#123—22no—
902#123—22no—
903#123—22no—
904#123—24no—
905#123—24no—
906#123—24no—
907#123—24no—
908#123—28no—
909#123—28no—
910#123—24no—
911#123—28no—
912#123—28no—
913#123—28no—
914#123—24no—
915#123—28no—
916#123—28no—
917#123—28no—
918#123C2×D414yes—
919#123C2×D414yes—
920#123C2×D418yes—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—22no—
924C22⋊Q8—22no—
925C22⋊Q8—22no—
926C22⋊Q8—22no—
927C22⋊Q8—28no—
928C22⋊Q8—24no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8—24no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—28no—
936C22⋊Q8—28no—
937C22⋊Q8—28no—
938C22⋊Q8—28no—
939C22⋊Q8C2×D414yes—
940C22⋊Q8C2×D414yes—
941C22⋊Q8C2×D414yes—
942C22⋊Q8C2×D414yes—
943C22⋊Q8C2414yes—
944C22⋊Q8C2414yes—
945C22⋊Q8C2414yes—
946C22⋊Q8C2414yes—
947C22⋊Q8C2418yes—
948C22⋊Q8C2418yes—
949#121—24no—
950#121—28no—
951#121—28no—
952#121—28no—
953#121—28no—
954#121—24no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—28no—
959#121—22no—
960#121—22no—
961#121—22no—
962#121—22no—
963#121—28no—
964#121—24no—
965#121—24no—
966#121—28no—
967#121—28no—
968#121—28no—
969#121—28no—
970#121—28no—
971#121C2×D414yes—
972#121C2×D414yes—
973#121C2×D414yes—
974#121C2×D414yes—
975#121C2414yes—
976#121C2414yes—
977#121C2414yes—
978#121C2414yes—
979#121C2418yes—
980#121C2418yes—
981#120—22no—
982#120—22no—
983#120—22no—
984#120—22no—
985#120—24no—
986#120—24no—
987#120—24no—
988#120—24no—
989#120—24no—
990#120—28no—
991#120—28no—
992#120—24no—
993#120—24no—
994#120—28no—
995#120—28no—
996#120—24no—
997#120C2×D414yes—
998#120C2×D414yes—
999#120C2×D418yes—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8C2418yes—
1007C4×Q8C2418yes—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—28no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4C2×D418yes—
1037C4×D4C2×D418yes—
1038C4×D4C2418yes—
1039C4×D4C2418yes—
1040C4×D4C2418yes—
1041C4×D4C2418yes—
1042#117—21no—
1043#117—21no—
1044#117—21no—
1045#117—21no—
1046#117—24no—
1047#117—21no—
1048#117—24no—
1049#117—24no—
1050#117—24no—
1051#117—22no—
1052#117—22no—
1053#117—21no—
1054#117—21no—
1055#117—21no—
1056#117—24no—
1057#117—24no—
1058#117—24no—
1059#117—24no—
1060#117—28no—
1061#117—24no—
1062#117—24no—
1063#117—28no—
1064#117—28no—
1065#117—24no—
1066#117—24no—
1067#117C2×D412yes—
1068#117C2×D412yes—
1069#117C2412yes—
1070#117C2412yes—
1071#117C2412yes—
1072#117C2412yes—
1073#117C2414yes—
1074#117C2414yes—
1075#117C2412yes—
1076#117C2412yes—
1077#117C2412yes—
1078#117C2412yes—
1079#117C2418yes—
1080#117C2412yes—
1081#117C2412yes—
1082C2×C4⋊C4—22no—
1083C2×C4⋊C4—22no—
1084C2×C4⋊C4—22no—
1085C2×C4⋊C4—22no—
1086C2×C4⋊C4—22no—
1087C2×C4⋊C4—24no—
1088C2×C4⋊C4—24no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4C2×D412yes—
1091C2×C4⋊C4C2×D414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2418yes—
1099C2×C22⋊C4—21no—
1100C2×C22⋊C4—21no—
1101C2×C22⋊C4—22no—
1102C2×C22⋊C4—24no—
1103C2×C22⋊C4—24no—
1104C2×C22⋊C4—21no—
1105C2×C22⋊C4—21no—
1106C2×C22⋊C4—24no—
1107C2×C22⋊C4—22no—
1108C2×C22⋊C4—22no—
1109C2×C22⋊C4—22no—
1110C2×C22⋊C4—22no—
1111C2×C22⋊C4—24no—
1112C2×C22⋊C4—24no—
1113C2×C22⋊C4—28no—
1114C2×C22⋊C4—28no—
1115C2×C22⋊C4C2×D412yes—
1116C2×C22⋊C4C2×D414yes—
1117C2×C22⋊C4C2×D414yes—
1118C2×C42—21no—
1119C2×C42—24no—
1120C2×C42—22no—
1121C2×C42—24no—
1122C2×C42—21no—
1123C2×C42—21no—
1124C2×C42—21no—
1125C2×C42—24no—
1126C2×C42—24no—
1127C2×C42—24no—
1128C2×C42C2412yes—
1129#107C2414yes—
1130#107C2414yes—
1131#107C2418yes—
1132#107C2418yes—
1133#106C2414yes—
1134#106C2414yes—
1135#106C2418yes—
1136#106C2418yes—
1137C4⋊C8C2418yes—
1138C4⋊C8C2418yes—
1139#103C2414yes—
1140#103C2414yes—
1141#103C2414yes—
1142#103C2414yes—
1143#103C2414yes—
1144#103C2414yes—
1145#103C2414yes—
1146#103C2414yes—
1147#103C2414yes—
1148#103C2418yes—
1149#103C2414yes—
1150#103C2414yes—
1151#103C2414yes—
1152#103C2418yes—
1153#103C2418yes—
1154#103C2418yes—
1155#102C2414yes—
1156#102C2414yes—
1157#102C2414yes—
1158#102C2414yes—
1159#102C2414yes—
1160#102C2414yes—
1161#102C2414yes—
1162#102C2414yes—
1163#102C2414yes—
1164#102C2418yes—
1165#102C2414yes—
1166#102C2414yes—
1167#102C2414yes—
1168#102C2418yes—
1169#102C2418yes—
1170#102C2418yes—
1171C22⋊C8C2418yes—
1172C22⋊C8C2418yes—
1173C22⋊C8C2418yes—
1174C22⋊C8C2418yes—
1175#97C2418yes—
1176C4×C8C2418yes—
1177C24—24no—
1178C24—21no—
1179C24—24no—
1180C24—21no—
1181C24—24no—
1182C24—21no—
1183C24—21no—
1184C24—44no—
1185C24—82no—
1186C24—84no—
1187C24C22×D412yes—
1188C24C22×D412yes—
1189C24C22×D412yes—
1190C24C22×D411yescharacteristic
1191C24C22×D411yescharacteristic
1192C24C22×D411yescharacteristic
1193#41—28no—
1194#41—28no—
1195#41—28no—
1196#41—28no—
1197#41—24no—
1198#41—24no—
1199#41—24no—
1200#41—24no—
1201#41—24no—
1202#41—24no—
1203#41—28no—
1204#41—28no—
1205#41—28no—
1206#41—28no—
1207#41—24no—
1208#41—24no—
1209#41—24no—
1210#41—24no—
1211#41—24no—
1212#41—24no—
1213#41—24no—
1214#41—24no—
1215#41—24no—
1216#41—24no—
1217#41—24no—
1218#41—24no—
1219#41—416no—
1220#41—416no—
1221#41—416no—
1222#41—44no—
1223#41—44no—
1224#41—44no—
1225#41—44no—
1226#41—416no—
1227#41—416no—
1228#41—48no—
1229#41—416no—
1230#41—416no—
1231#41—48no—
1232#41—48no—
1233#41—48no—
1234#41—416no—
1235#41—48no—
1236#41—48no—
1237#41—44no—
1238#41—44no—
1239#41—44no—
1240#41—44no—
1241#41—44no—
1242#41—44no—
1243#41—816no—
1244#41C2×#4118yes—
1245#41C2×#4118yes—
1246C2×Q8—24no—
1247C2×Q8—21no—
1248C2×Q8—21no—
1249C2×Q8—21no—
1250C2×Q8—24no—
1251C2×Q8—24no—
1252C2×Q8—21no—
1253C2×Q8—28no—
1254C2×Q8—22no—
1255C2×Q8—28no—
1256C2×Q8—28no—
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—44no—
1264C2×Q8—44no—
1265C2×Q8—44no—
1266C2×Q8—48no—
1267C2×Q8—48no—
1268C2×Q8—48no—
1269C2×Q8C22×D412yes—
1270C2×Q8C22×D412yes—
1271C2×Q8C2×#4114yes—
1272C2×Q8C2512yes—
1273C2×Q8C2512yes—
1274C2×Q8C2512yes—
1275C2×Q8C2512yes—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—28no—
1298C2×D4—24no—
1299C2×D4—21no—
1300C2×D4—21no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—21no—
1304C2×D4—21no—
1305C2×D4—28no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—48no—
1316C2×D4—48no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—416no—
1320C2×D4—48no—
1321C2×D4—416no—
1322C2×D4—416no—
1323C2×D4—416no—
1324C2×D4—416no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—84no—
1330C2×D4—816no—
1331C2×D4—84no—
1332C2×D4—84no—
1333C2×D4C22×D414yes—
1334C2×D4C22×D414yes—
1335C2×D4C22×D412yes—
1336C2×D4C22×D412yes—
1337C2×D4C22×D418yes—
1338C2×D4C22×D418yes—
1339C2×D4C2×#4114yes—
1340C2×D4C2512yes—
1341C2×D4C2512yes—
1342C2×D4C2512yes—
1343C2×D4C2512yes—
1344C22×C4—24no—
1345C22×C4—21no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—28no—
1349C22×C4—28no—
1350C22×C4—28no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—21no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—28no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—28no—
1386C22×C4—28no—
1387C22×C4—44no—
1388C22×C4—416no—
1389C22×C4—416no—
1390C22×C4—416no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—84no—
1397C22×C4C22×D412yes—
1398C22×C4C22×D411yescharacteristic
1399C22×C4C22×D412yes—
1400C22×C4C22×D412yes—
1401C22×C4C22×D412yes—
1402C22×C4C22×D412yes—
1403C22×C4C22×D411yescharacteristic
1404C22×C4C22×D412yes—
1405C22×C4C22×D412yes—
1406C22×C4C22×D412yes—
1407C22×C4C22×D414yes—
1408C22×C4C22×D412yes—
1409C22×C4C22×D414yes—
1410C22×C4C22×D411yescharacteristic
1411C22×C4C22×D411yescharacteristic
1412C22×C4C22×D411yescharacteristic
1413C22×C4C2×#4114yes—
1414C22×C4H(5,𝔽2)14yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421Q16—28no—
1422Q16—44no—
1423Q16—44no—
1424SD16—28no—
1425SD16—28no—
1426SD16—44no—
1427SD16—44no—
1428SD16—44no—
1429SD16—44no—
1430D8—28no—
1431D8—44no—
1432D8—44no—
1433M16—24no—
1434M16—24no—
1435M16—24no—
1436M16—24no—
1437M16—42no—
1438M16—42no—
1439M16—42no—
1440M16—42no—
1441M16—42no—
1442M16—42no—
1443M16—42no—
1444M16—42no—
1445M16—48no—
1446C2×C8—24no—
1447C2×C8—22no—
1448C2×C8—22no—
1449C2×C8—24no—
1450C2×C8—24no—
1451C2×C8—22no—
1452C2×C8—22no—
1453C2×C8—24no—
1454C2×C8—24no—
1455C2×C8—24no—
1456C2×C8—48no—
1457C2×C8C2512yes—
1458C2×C8C2514yes—
1459C2×C8C2512yes—
1460C2×C8C2512yes—
1461C2×C8C2514yes—
1462C2×C8C2512yes—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4C22×D414yes—
1483C4⋊C4C22×D414yes—
1484C4⋊C4C22×D418yes—
1485C4⋊C4C22×D418yes—
1486C4⋊C4C2514yes—
1487C4⋊C4C2514yes—
1488C4⋊C4C2514yes—
1489C4⋊C4C2514yes—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4C22×D414yes—
1518C22⋊C4C22×D414yes—
1519C22⋊C4C22×D418yes—
1520C22⋊C4C22×D418yes—
1521C22⋊C4C22×D418yes—
1522C22⋊C4C22×D418yes—
1523C42—24no—
1524C42—22no—
1525C42—24no—
1526C42—22no—
1527C42—28no—
1528C42—28no—
1529C42—28no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42C22×D414yes—
1537C42C2514yes—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—42no—
1549C23—42no—
1550C23—42no—
1551C23—42no—
1552C23—42no—
1553C23—42no—
1554C23—44no—
1555C23—42no—
1556C23—48no—
1557C23—48no—
1558C23—48no—
1559C23—42no—
1560C23—42no—
1561C23—42no—
1562C23—82no—
1563C23—82no—
1564C23—84no—
1565C23—82no—
1566C23—82no—
1567C23—88no—
1568C23—88no—
1569C23—816no—
1570C23#54614yes—
1571C23C23×D412yes—
1572C23C23×D414yes—
1573C23C23×D412yes—
1574C23C23×D411yescharacteristic
1575C23C23×D411yescharacteristic
1576C23C23×D411yescharacteristic
1577Q8—22no—
1578Q8—24no—
1579Q8—24no—
1580Q8—24no—
1581Q8—22no—
1582Q8—22no—
1583Q8—22no—
1584Q8—22no—
1585Q8—22no—
1586Q8—22no—
1587Q8—48no—
1588Q8—48no—
1589Q8—42no—
1590Q8—42no—
1591Q8—42no—
1592Q8—88no—
1593Q8C22×#4114yes—
1594D4—28no—
1595D4—28no—
1596D4—28no—
1597D4—28no—
1598D4—22no—
1599D4—22no—
1600D4—22no—
1601D4—22no—
1602D4—22no—
1603D4—22no—
1604D4—22no—
1605D4—24no—
1606D4—24no—
1607D4—24no—
1608D4—48no—
1609D4—48no—
1610D4—48no—
1611D4—48no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—44no—
1622D4—44no—
1623D4—44no—
1624D4—42no—
1625D4—42no—
1626D4—42no—
1627D4—88no—
1628D4—84no—
1629D4—88no—
1630D4—84no—
1631D4—88no—
1632D4C22×#4114yes—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—28no—
1653C2×C4—28no—
1654C2×C4—28no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—44no—
1663C2×C4—48no—
1664C2×C4—48no—
1665C2×C4—48no—
1666C2×C4—48no—
1667C2×C4—48no—
1668C2×C4—48no—
1669C2×C4—48no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—42no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—88no—
1680C2×C4—88no—
1681C2×C4—82no—
1682C2×C4—84no—
1683C2×C4—82no—
1684C2×C4—82no—
1685C2×C4—82no—
1686C2×C4—88no—
1687C2×C4#54614yes—
1688C2×C4#54614yes—
1689C2×C4#54614yes—
1690C2×C4C23×D412yes—
1691C2×C4C23×D418yes—
1692C2×C4C23×D414yes—
1693C2×C4C23×D412yes—
1694C2×C4C23×D411yescharacteristic
1695C2×C4C23×D411yescharacteristic
1696C2×C4C23×D411yescharacteristic
1697C2×C4C22×#4112yes—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4112yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2611yescharacteristic
1704C8—24no—
1705C8—22no—
1706C8—22no—
1707C8—22no—
1708C8—22no—
1709C8—24no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—28no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—24no—
1721C22—24no—
1722C22—44no—
1723C22—44no—
1724C22—44no—
1725C22—44no—
1726C22—44no—
1727C22—44no—
1728C22—44no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—84no—
1733C22—84no—
1734C22—84no—
1735C22—84no—
1736C22—84no—
1737C22—816no—
1738C22—162no—
1739C22—162no—
1740C22—168no—
1741C22C2×#54612yes—
1742C22C2×#54612yes—
1743C22C2×#54612yes—
1744C22C24×D411yescharacteristic
1745C4—28no—
1746C4—22no—
1747C4—22no—
1748C4—24no—
1749C4—24no—
1750C4—44no—
1751C4—44no—
1752C4—44no—
1753C4—44no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4C2×#54612yes—
1758C4C2×#54612yes—
1759C4C2×#54612yes—
1760C4C23×#4111yescharacteristic
1761C4C22×H(5,𝔽2)11yescharacteristic
1762C2—22no—
1763C2—22no—
1764C2—22no—
1765C2—42no—
1766C2—42no—
1767C2—44no—
1768C2—44no—
1769C2—82no—
1770C2—82no—
1771C2—82no—
1772C2C22×#54611yescharacteristic
1773C2#6309012yes—
subgroupG/H
centerC2×C4C23×D4
commutator, Frattini, cosocleC2×C4C26
socleC22C24×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×#525 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62814C2semidirect
2. #62811C2semidirect
3. #61182C2semidirect
4. #61181C2semidirect
5. #61180C2semidirect
6. #61179C2semidirect
7. #61178C2semidirect
8. #61177C2semidirect
9. #61176C2semidirect
10. #61175C2semidirect
11. #61154C2semidirect
12. #61141C2semidirect
13. #60612C2semidirect
14. #60516C2semidirect
15. #60511C2semidirect
16. #60489C2semidirect
17. #60453C2semidirect
18. C2×#3054C2semidirect
19. #60422C2semidirect
20. #60366C2semidirect
21. #60359C2semidirect
22. #60161C2semidirect
23. C2×#2930C2semidirect
24. #60086C2semidirect
25. C2×#2896C2semidirect
29. C2×#575C22semidirect
30. C22×#135C22semidirect
31. C22×#131C22semidirect
32. C23×M16C22semidirect
34. #3495C22semidirect
36. #3494C22semidirect
37. #3493C22semidirect
38. #3492C22semidirect
45. #3487C22semidirect
46. #3486C22semidirect
48. #3485C22semidirect
50. #3484C22semidirect
52. #3475C22semidirect
54. D4×#41C22semidirect
55. #3458C22semidirect
60. #3449C22semidirect
65. C2×#525C22semidirect
67. #3428C22semidirect
68. #3428C22semidirect
69. C22×#117C22semidirect
70. #3333C22semidirect
71. #3332C22semidirect
72. #3331C22semidirect
73. #3330C22semidirect
74. #3329C22semidirect
75. #3328C22semidirect
76. #3327C22semidirect
77. #3327C22semidirect
78. #3326C22semidirect
79. #3326C22semidirect
80. #3325C22semidirect
81. #3324C22semidirect
82. #3323C22semidirect
83. #3323C22semidirect
84. #3322C22semidirect
85. #3322C22semidirect
86. #3321C22semidirect
87. #3320C22semidirect
88. #3319C22semidirect
89. #3318C22semidirect
90. #3317C22semidirect
91. #3316C22semidirect
92. #3315C22semidirect
93. #3314C22semidirect
94. #3313C22semidirect
95. #3312C22semidirect
96. #3311C22semidirect
97. #3310C22semidirect
98. #3309C22semidirect
99. #3308C22semidirect
100. #3307C22semidirect
101. #3306C22semidirect
102. #3137C22semidirect
103. #3137C22semidirect
104. #3136C22semidirect
105. #3136C22semidirect
106. #3135C22semidirect
107. #3131C22semidirect
108. #3099C22semidirect
109. #3098C22semidirect
110. #3097C22semidirect
111. #3096C22semidirect
112. #3095C22semidirect
113. #3094C22semidirect
114. #3093C22semidirect
115. #3092C22semidirect
116. #3091C22semidirect
117. #3091C22semidirect
118. #3084C22semidirect
119. #3083C22semidirect
120. #3082C22semidirect
121. #3081C22semidirect
122. #3076C22semidirect
123. #3063C22semidirect
124. #3063C22semidirect
125. #3062C22semidirect
126. #3062C22semidirect
127. #3054C22semidirect
128. #3054C22semidirect
129. #3054C22semidirect
130. #3054C22semidirect
131. #3054C22semidirect
132. C2×#470C22semidirect
133. C2×#469C22semidirect
134. C2×#468C22semidirect
135. C2×#468C22semidirect
136. #3050C22semidirect
137. #3046C22semidirect
138. #3045C22semidirect
139. #3044C22semidirect
140. #3043C22semidirect
141. #3042C22semidirect
142. #3041C22semidirect
143. #3035C22semidirect
144. #3013C22semidirect
145. #3012C22semidirect
146. #3011C22semidirect
147. #3010C22semidirect
148. #3009C22semidirect
149. #3008C22semidirect
150. #3007C22semidirect
151. #3006C22semidirect
152. #3005C22semidirect
153. #3005C22semidirect
154. #3004C22semidirect
155. #3003C22semidirect
156. #3002C22semidirect
157. #3002C22semidirect
158. #2947C22semidirect
159. #2947C22semidirect
160. #2946C22semidirect
161. #2946C22semidirect
162. #2943C22semidirect
163. C4×#135C22semidirect
164. #2930C22semidirect
165. #2930C22semidirect
166. #2930C22semidirect
167. #2930C22semidirect
168. C2×#436C22semidirect
169. C2×#435C22semidirect
170. #2911C22semidirect
171. #2911C22semidirect
172. C2×#427C22semidirect
173. C2×#424C22semidirect
174. #2898C22semidirect
175. #2898C22semidirect
176. #2897C22semidirect
177. #2897C22semidirect
179. #2896C22semidirect
180. #2896C22semidirect
181. #2896C22semidirect
182. #2896C22semidirect
183. #2896C22semidirect
184. #2896C22semidirect
185. #2896C22semidirect
186. #2896C22semidirect
187. C2×#417C22semidirect
188. C2×#417C22semidirect
189. C2×#419C22semidirect
190. C2×#418C22semidirect
193. C2×#416C22semidirect
194. C2×#416C22semidirect
195. C2×#416C22semidirect
196. C2×#416C22semidirect
197. C2×#416C22semidirect
198. C2×#408C22semidirect
199. C2×#407C22semidirect
200. C2×#405C22semidirect
247. C2×#135C23semidirect
248. C22×Q16C23semidirect
249. C22×SD16C23semidirect
250. C22×SD16C23semidirect
251. C22×D8C23semidirect
254. C2×#131C23semidirect
264. C22×M16C23semidirect
267. C23×C8C23semidirect
273. #554C23semidirect
277. #553C23semidirect
283. #552C23semidirect
301. #547C23semidirect
318. #544C23semidirect
338. #536C23semidirect
346. #535C23semidirect
355. #533C23semidirect
397. #525C23semidirect
419. #520C23semidirect
422. #519C23semidirect
428. #518C23semidirect
435. C4×#41C23semidirect
454. C2×#117C23semidirect
458. #491C23semidirect
459. #490C23semidirect
460. #489C23semidirect
461. #489C23semidirect
462. #488C23semidirect
463. #488C23semidirect
464. #487C23semidirect
465. #486C23semidirect
468. #485C23semidirect
469. #485C23semidirect
470. #484C23semidirect
471. #484C23semidirect
472. #483C23semidirect
473. #483C23semidirect
476. #482C23semidirect
477. #482C23semidirect
478. #481C23semidirect
479. #481C23semidirect
480. #480C23semidirect
481. #480C23semidirect
482. #479C23semidirect
483. #479C23semidirect
484. #478C23semidirect
485. #478C23semidirect
486. #477C23semidirect
487. #476C23semidirect
488. #475C23semidirect
489. #474C23semidirect
492. #470C23semidirect
493. #470C23semidirect
494. #470C23semidirect
497. #469C23semidirect
498. #469C23semidirect
499. #469C23semidirect
504. #468C23semidirect
505. #468C23semidirect
506. #468C23semidirect
507. #468C23semidirect
508. #468C23semidirect
509. #468C23semidirect
510. #467C23semidirect
511. #466C23semidirect
512. #465C23semidirect
513. #465C23semidirect
514. #464C23semidirect
515. #464C23semidirect
516. #463C23semidirect
517. #463C23semidirect
518. #462C23semidirect
519. #461C23semidirect
520. #460C23semidirect
521. #459C23semidirect
524. #452C23semidirect
525. #452C23semidirect
527. #451C23semidirect
529. #450C23semidirect
532. #449C23semidirect
533. #449C23semidirect
535. #448C23semidirect
537. #447C23semidirect
538. #442C23semidirect
539. #441C23semidirect
540. #440C23semidirect
541. #440C23semidirect
542. C4×Q16C23semidirect
543. C4×SD16C23semidirect
544. C4×SD16C23semidirect
545. C4×D8C23semidirect
548. #436C23semidirect
549. #436C23semidirect
552. #435C23semidirect
553. #435C23semidirect
556. #428C23semidirect
557. #428C23semidirect
559. #427C23semidirect
560. #427C23semidirect
561. #427C23semidirect
562. C2×#107C23semidirect
563. C2×#106C23semidirect
565. #424C23semidirect
566. #424C23semidirect
567. C2×C4⋊C8C23semidirect
574. #419C23semidirect
575. #419C23semidirect
576. #419C23semidirect
583. #418C23semidirect
584. #418C23semidirect
585. #418C23semidirect
598. #417C23semidirect
599. #417C23semidirect
616. #416C23semidirect
617. #416C23semidirect
618. #416C23semidirect
619. #416C23semidirect
620. #416C23semidirect
621. #416C23semidirect
622. #416C23semidirect
623. #416C23semidirect
628. C2×#103C23semidirect
629. C2×#103C23semidirect
630. C2×#103C23semidirect
635. C2×#102C23semidirect
636. C2×#102C23semidirect
637. C2×#102C23semidirect
639. #408C23semidirect
640. #408C23semidirect
645. C2×C22⋊C8C23semidirect
647. #405C23semidirect
648. C2×#97C23semidirect
649. C2×C4×C8C23semidirect
713. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
#628142
#628112
#611822
#611812
#611802
#611792
#611782
#611772
#611762
#611752
#611542
#611412
#606122
#605162
#605112
#604892
#604532
C2×#30542
#604222
#603662
#603592
#601612
C2×#29302
#600862
C2×#28962