Finite Group Databasebeta

← Group #11921385

Character table — Group #11921385

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11223366666666666666121216161616323232323636484848481122336666666666666612121616161632323232363648484848
order12362222226666666666443366336644121212122266222222666666666644666666664412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ31111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ411111111111111111111-1-111111111-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1
χ511111111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211111111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32
χ611111111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211111111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32
χ71-11-11-111-1-111111-1-1-1-1-1i−i11-1-111-1-1i−ii−ii−i1-11-11-111-1-111111-1-1-1-1-1i−i11-1-111-1-1i−ii−ii−i
χ81-11-11-111-1-111111-1-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11-111-1-111111-1-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7
χ91-11-11-111-1-111111-1-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11-111-1-111111-1-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11
χ101-11-11-111-1-111111-1-1-1-1-1−ii11-1-111-1-1−ii−ii−ii1-11-11-111-1-111111-1-1-1-1-1−ii11-1-111-1-1−ii−ii−ii
χ111-11-11-111-1-111111-1-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11-111-1-111111-1-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7
χ121-11-11-111-1-111111-1-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11-111-1-111111-1-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11
χ1322-1-1222222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-100000022-1-1222222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1000000
χ1422-1-1222222-1-1-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022-1-1222222-1-1-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000
χ1522-1-1222222-1-1-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022-1-1222222-1-1-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000
χ162-2-112-222-2-2-1-1-1-1-1111110022-2-2-1-1110000002-2-112-222-2-2-1-1-1-1-1111110022-2-2-1-111000000
χ172-2-112-222-2-2-1-1-1-1-11111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-2-112-222-2-2-1-1-1-1-11111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000
χ182-2-112-222-2-2-1-1-1-1-11111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-2-112-222-2-2-1-1-1-1-11111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000
χ19333333-1-1-1-13-1-1-1-13-1-1-1-13300000000-1-10000333333-1-1-1-13-1-1-1-13-1-1-1-13300000000-1-10000
χ20333333-1-1-1-13-1-1-1-13-1-1-1-1-3-300000000110000333333-1-1-1-13-1-1-1-13-1-1-1-1-3-300000000110000
χ213-33-33-3-1-1113-1-1-1-1-311113i−3i00000000−ii00003-33-33-3-1-1113-1-1-1-1-311113i−3i00000000−ii0000
χ223-33-33-3-1-1113-1-1-1-1-31111−3i3i00000000i−i00003-33-33-3-1-1113-1-1-1-1-31111−3i3i00000000i−i0000
χ236666-2-22-22-2-222-2-2-222-2-200000000000000006666-2-22-22-2-222-2-2-222-2-20000000000000000
χ246666-2-2-22-22-2-2-222-2-2-22200000000000000006666-2-2-22-22-2-2-222-2-2-2220000000000000000
χ2566-3-366-2-2-2-2-31111-31111000000000000000066-3-366-2-2-2-2-31111-311110000000000000000
χ2666-3-3-2-22-22-21−1−2i3−1+2i3111−1−2i3−1+2i311000000000000000066-3-3-2-22-22-21−1−2i3−1+2i3111−1−2i3−1+2i3110000000000000000
χ2766-3-3-2-22-22-21−1+2i3−1−2i3111−1+2i3−1−2i311000000000000000066-3-3-2-22-22-21−1+2i3−1−2i3111−1+2i3−1−2i3110000000000000000
χ2866-3-3-2-2-22-22111−1−2i3−1+2i3111−1−2i3−1+2i3000000000000000066-3-3-2-2-22-22111−1−2i3−1+2i3111−1−2i3−1+2i30000000000000000
χ2966-3-3-2-2-22-22111−1+2i3−1−2i3111−1+2i3−1−2i3000000000000000066-3-3-2-2-22-22111−1+2i3−1−2i3111−1+2i3−1−2i30000000000000000
χ306-66-6-222-2-22-222-2-22-2-22200000000000000006-66-6-222-2-22-222-2-22-2-2220000000000000000
χ316-66-6-22-222-2-2-2-222222-2-200000000000000006-66-6-22-222-2-2-2-222222-2-20000000000000000
χ326-6-336-6-2-222-311113-1-1-1-100000000000000006-6-336-6-2-222-311113-1-1-1-10000000000000000
χ336-6-33-222-2-221−1−2i3−1+2i311-11+2i31−2i3-1-100000000000000006-6-33-222-2-221−1−2i3−1+2i311-11+2i31−2i3-1-10000000000000000
χ346-6-33-222-2-221−1+2i3−1−2i311-11−2i31+2i3-1-100000000000000006-6-33-222-2-221−1+2i3−1−2i311-11−2i31+2i3-1-10000000000000000
χ356-6-33-22-222-2111−1−2i3−1+2i3-1-1-11+2i31−2i300000000000000006-6-33-22-222-2111−1−2i3−1+2i3-1-1-11+2i31−2i30000000000000000
χ366-6-33-22-222-2111−1+2i3−1−2i3-1-1-11−2i31+2i300000000000000006-6-33-22-222-2111−1+2i3−1−2i3-1-1-11−2i31+2i30000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32
χ391111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32
χ4011111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ4111111111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32
χ4211111111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32
χ431-11-11-111-1-111111-1-1-1-1-1i−i11-1-111-1-1i−ii−ii−i-11-11-11-1-111-1-1-1-1-111111−ii-1-111-1-111−ii−ii−ii
χ441-11-11-111-1-111111-1-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7-11-11-11-1-111-1-1-1-1-111111−ii1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7
χ451-11-11-111-1-111111-1-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11-11-11-11-1-111-1-1-1-1-111111−ii1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11
χ461-11-11-111-1-111111-1-1-1-1-1−ii11-1-111-1-1−ii−ii−ii-11-11-11-1-111-1-1-1-1-111111i−i-1-111-1-111i−ii−ii−i
χ471-11-11-111-1-111111-1-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7-11-11-11-1-111-1-1-1-1-111111i−i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7
χ481-11-11-111-1-111111-1-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11-11-11-11-1-111-1-1-1-1-111111i−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11
χ4922-1-1222222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1000000-2-211-2-2-2-2-2-2111111111100-2-2-2-21111000000
χ5022-1-1222222-1-1-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000-2-211-2-2-2-2-2-21111111111001+i31−i31+i31−i3−1−i32−1+i32−1−i32−1+i32000000
χ5122-1-1222222-1-1-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000-2-211-2-2-2-2-2-21111111111001−i31+i31−i31+i3−1+i32−1−i32−1+i32−1−i32000000
χ522-2-112-222-2-2-1-1-1-1-1111110022-2-2-1-111000000-221-1-22-2-22211111-1-1-1-1-100-2-22211-1-1000000
χ532-2-112-222-2-2-1-1-1-1-11111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000-221-1-22-2-22211111-1-1-1-1-1001+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i32000000
χ542-2-112-222-2-2-1-1-1-1-11111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000-221-1-22-2-22211111-1-1-1-1-1001−i31+i3−1+i3−1−i3−1+i32−1−i321−i321+i32000000
χ55333333-1-1-1-13-1-1-1-13-1-1-1-13300000000-1-10000-3-3-3-3-3-31111-31111-31111-3-300000000110000
χ56333333-1-1-1-13-1-1-1-13-1-1-1-1-3-300000000110000-3-3-3-3-3-31111-31111-311113300000000-1-10000
χ573-33-33-3-1-1113-1-1-1-1-311113i−3i00000000−ii0000-33-33-3311-1-1-311113-1-1-1-1−3i3i00000000i−i0000
χ583-33-33-3-1-1113-1-1-1-1-31111−3i3i00000000i−i0000-33-33-3311-1-1-311113-1-1-1-13i−3i00000000−ii0000
χ596666-2-22-22-2-222-2-2-222-2-20000000000000000-6-6-6-622-22-222-2-2222-2-2220000000000000000
χ606666-2-2-22-22-2-2-222-2-2-2220000000000000000-6-6-6-6222-22-2222-2-2222-2-20000000000000000
χ6166-3-366-2-2-2-2-31111-311110000000000000000-6-633-6-622223-1-1-1-13-1-1-1-10000000000000000
χ6266-3-3-2-22-22-21−1−2i3−1+2i3111−1−2i3−1+2i3110000000000000000-6-63322-22-22-11+2i31−2i3-1-1-11+2i31−2i3-1-10000000000000000
χ6366-3-3-2-22-22-21−1+2i3−1−2i3111−1+2i3−1−2i3110000000000000000-6-63322-22-22-11−2i31+2i3-1-1-11−2i31+2i3-1-10000000000000000
χ6466-3-3-2-2-22-22111−1−2i3−1+2i3111−1−2i3−1+2i30000000000000000-6-633222-22-2-1-1-11+2i31−2i3-1-1-11+2i31−2i30000000000000000
χ6566-3-3-2-2-22-22111−1+2i3−1−2i3111−1+2i3−1−2i30000000000000000-6-633222-22-2-1-1-11−2i31+2i3-1-1-11−2i31+2i30000000000000000
χ666-66-6-222-2-22-222-2-22-2-2220000000000000000-66-662-2-222-22-2-222-222-2-20000000000000000
χ676-66-6-22-222-2-2-2-222222-2-20000000000000000-66-662-22-2-22222-2-2-2-2-2220000000000000000
χ686-6-336-6-2-222-311113-1-1-1-10000000000000000-663-3-6622-2-23-1-1-1-1-311110000000000000000
χ696-6-33-222-2-221−1−2i3−1+2i311-11+2i31−2i3-1-10000000000000000-663-32-2-222-2-11+2i31−2i3-1-11−1−2i3−1+2i3110000000000000000
χ706-6-33-222-2-221−1+2i3−1−2i311-11−2i31+2i3-1-10000000000000000-663-32-2-222-2-11−2i31+2i3-1-11−1+2i3−1−2i3110000000000000000
χ716-6-33-22-222-2111−1−2i3−1+2i3-1-1-11+2i31−2i30000000000000000-663-32-22-2-22-1-1-11+2i31−2i3111−1−2i3−1+2i30000000000000000
χ726-6-33-22-222-2111−1+2i3−1−2i3-1-1-11−2i31+2i30000000000000000-663-32-22-2-22-1-1-11−2i31+2i3111−1+2i3−1−2i30000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.