Finite Group Databasebeta

← Group #14517031

Character table — Group #14517031

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222233334466666666666661212121212121818181818181818181818181818363636363636545454545454545454545454545454162162162
order1233663366362333336666666333666366666666699181836991818466121212121212121218181818266
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1
χ3111111111111-111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1
χ4111111111111-111111-1-1111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ52222222222222222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-10-1-100000000-1-1-1-1000
χ6222222222222222-1-1-122-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-122-1-1-1-102200000000-1-1-1-1000
χ7222222222222222-1-1-122-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-12-12-1-1-12-12-10-1-10000000022-1-1000
χ8222222222222222-1-1-122-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-12-1-1-12-120-1-100000000-1-122000
χ9222222222222-222222-2-222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1011000000001111000
χ10222222222222-222-1-1-1-2-2-1-1-122-1-1-1-1-1-12-2-21111112-1-1-1-122-1-1-1-10-2-2000000001111000
χ11222222222222-222-1-1-1-2-2-1-1-122-1-1-1-1-1-1-1-2-2111111-12-12-1-1-12-12-101100000000-2-211000
χ12222222222222-222-1-1-1-2-2-1-1-122-1-1-1-1-1-1-1-2-2111111-1-12-12-1-1-12-120110000000011-2-2000
χ1322-122-12222-1-10-1-122200222-1-1-1-1-1-1-1-120000000022222-1-1-1-1-1-1200-1-122-1-1-1-10000000
χ1422-122-12222-1-10-1-122200222-1-1-1-1-1-1-1-120000000022222-1-1-1-1-1-1-20011-2-211110000000
χ152-222-2-222-2-22-202222200-2-2-2-2-2222-2-2-2200000000-222-2-22-222-2-2000000000000000000
χ162-222-2-222-2-22-202222200-2-2-2-2-2222-2-2-2-1000000001-1-111-11-1-1110−i3i300000000−i3i3−i3i3000
χ172-222-2-222-2-22-202222200-2-2-2-2-2222-2-2-2-1000000001-1-111-11-1-1110i3−i300000000i3−i3i3−i3000
χ182-222-2-222-2-22-2022-1-1-100111-2-2-1-1-1111200−i3−i3−i3i3i3i3-2-1-1112-2-1-11100000000000−i3i3i3−i3000
χ192-222-2-222-2-22-2022-1-1-100111-2-2-1-1-1111200i3i3i3−i3−i3−i3-2-1-1112-2-1-11100000000000i3−i3−i3i3000
χ202-222-2-222-2-22-2022-1-1-100111-2-2-1-1-1111-100−i3−i3−i3i3i3i312-1-21-112-1-210i3−i30000000000−i3i3000
χ212-222-2-222-2-22-2022-1-1-100111-2-2-1-1-1111-100−i3−i3−i3i3i3i31-121-2-11-121-20−i3i300000000i3−i300000
χ222-222-2-222-2-22-2022-1-1-100111-2-2-1-1-1111-100i3i3i3−i3−i3−i312-1-21-112-1-210−i3i30000000000i3−i3000
χ232-222-2-222-2-22-2022-1-1-100111-2-2-1-1-1111-100i3i3i3−i3−i3−i31-121-2-11-121-20i3−i300000000−i3i300000
χ242-2-12-2122-2-2-110-1-122200-2-2-211-1-1-1111200000000-222-2-2-11-1-1110003−30033−3−30000000
χ252-2-12-2122-2-2-110-1-122200-2-2-211-1-1-1111200000000-222-2-2-11-1-111000−3300−3−3330000000
χ26333333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i3200033000−3−3i32−3+3i320000000−3−3i32−3+3i320000000000000000010011−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200001−1−i32−1+i32
χ27333333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i3200033000−3−3i32−3+3i320000000−3−3i32−3+3i3200000000000000000-100-1-11+i321−i321+i321−i321+i321−i320000-11+i321−i32
χ28333333−3−3i32−3+3i32−3−3i32−3+3i3233-3−3−3i32−3+3i32000-3-3000−3−3i32−3+3i3200000003+3i323−3i320000000000000000010011−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000-11+i321−i32
χ29333333−3−3i32−3+3i32−3−3i32−3+3i3233-3−3−3i32−3+3i32000-3-3000−3−3i32−3+3i3200000003+3i323−3i3200000000000000000-100-1-11+i321−i321+i321−i321+i321−i3200001−1−i32−1+i32
χ30333333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i3200033000−3+3i32−3−3i320000000−3+3i32−3−3i320000000000000000010011−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200001−1+i32−1−i32
χ31333333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i3200033000−3+3i32−3−3i320000000−3+3i32−3−3i3200000000000000000-100-1-11−i321+i321−i321+i321−i321+i320000-11−i321+i32
χ32333333−3+3i32−3−3i32−3+3i32−3−3i3233-3−3+3i32−3−3i32000-3-3000−3+3i32−3−3i3200000003−3i323+3i320000000000000000010011−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000-11−i321+i32
χ33333333−3+3i32−3−3i32−3+3i32−3−3i3233-3−3+3i32−3−3i32000-3-3000−3+3i32−3−3i3200000003−3i323+3i3200000000000000000-100-1-11−i321+i321−i321+i321−i321+i3200001−1+i32−1−i32
χ3444-244-24444-2-20-2-244400444-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2111111000000000000000000
χ3544-244-24444-2-20-2-2-2-2-200-2-2-2-2-21111114000000004-2-2-2-2-2-21111000000000000000000
χ3644-244-24444-2-20-2-2-2-2-200-2-2-2-2-2111111-200000000-24-24-211-21-21000000000000000000
χ3744-244-24444-2-20-2-2-2-2-200-2-2-2-2-2111111-200000000-2-24-24111-21-2000000000000000000
χ384-4-24-4244-4-4-220-2-244400-4-4-422-2-2-2222-2000000002-2-2221-111-1-1000000000000000000
χ394-4-24-4244-4-4-220-2-2-2-2-20022222111-1-1-1400000000-4-2-222-2211-1-1000000000000000000
χ404-4-24-4244-4-4-220-2-2-2-2-20022222111-1-1-1-20000000024-2-421-1-212-1000000000000000000
χ414-4-24-4244-4-4-220-2-2-2-2-20022222111-1-1-1-2000000002-242-41-11-2-12000000000000000000
χ42666-3-360000-3-360003-3-3-303-30003-303-300003-303-300000000000000000000000000000
χ43666-3-360000-3-36003-30-3-33-30003-303-300003-303-3000000000000000000000000000000
χ44666-3-360000-3-3600-303-3-3-30300-303-303000-303-30300000000000000000000000000000
χ45666-3-360000-3-3-60003-33303-30003-303-30000-330-3300000000000000000000000000000
χ46666-3-360000-3-3-6003-30333-30003-303-30000-330-33000000000000000000000000000000
χ47666-3-360000-3-3-600-30333-30300-303-30300030-330-300000000000000000000000000000
χ4866-366-3−3−3i3−3+3i3−3−3i3−3+3i3-3-303+3i323−3i32000000003+3i323−3i3200000000000000000000000000200-1-1−1−i3−1+i31+i321−i321+i321−i320000000
χ4966-366-3−3−3i3−3+3i3−3−3i3−3+3i3-3-303+3i323−3i32000000003+3i323−3i3200000000000000000000000000-200111+i31−i3−1−i32−1+i32−1−i32−1+i320000000
χ5066-366-3−3+3i3−3−3i3−3+3i3−3−3i3-3-303−3i323+3i32000000003−3i323+3i3200000000000000000000000000200-1-1−1+i3−1−i31−i321+i321−i321+i320000000
χ5166-366-3−3+3i3−3−3i3−3+3i3−3−3i3-3-303−3i323+3i32000000003−3i323+3i3200000000000000000000000000-200111−i31+i3−1+i32−1−i32−1+i32−1−i320000000
χ526-666-6-6−3−3i3−3+3i33+3i33−3i36-60−3−3i3−3+3i3000000003+3i33−3i300000000000000000000000000000000000000000000
χ536-666-6-6−3+3i3−3−3i33−3i33+3i36-60−3+3i3−3−3i3000000003−3i33+3i300000000000000000000000000000000000000000000
χ546-66-33-60000-3300003-3−3i33i30-330003-30-33000−2i3i3i32i3−i3−i300000000000000000000000000000
χ556-66-33-60000-3300003-33i3−3i30-330003-30-330002i3−i3−i3−2i3i3i300000000000000000000000000000
χ566-66-33-60000-330003-30−3i33i3-330003-30-330000i3i3−2i3−i3−i32i300000000000000000000000000000
χ576-66-33-60000-330003-303i3−3i3-330003-30-330000−i3−i32i3i3i3−2i300000000000000000000000000000
χ586-66-33-60000-33000-303−3i33i330-300-30330-3000i3−2i3i3−i32i3−i300000000000000000000000000000
χ596-66-33-60000-33000-3033i3−3i330-300-30330-3000−i32i3−i3i3−2i3i300000000000000000000000000000
χ606-6-36-63−3−3i3−3+3i33+3i33−3i3-3303+3i323−3i3200000000−3−3i32−3+3i32000000000000000000000000000003−3002ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ110000000
χ616-6-36-63−3−3i3−3+3i33+3i33−3i3-3303+3i323−3i3200000000−3−3i32−3+3i3200000000000000000000000000000−3300−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ110000000
χ626-6-36-63−3+3i3−3−3i33−3i33+3i3-3303−3i323+3i3200000000−3+3i32−3−3i32000000000000000000000000000003−300−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ110000000
χ636-6-36-63−3+3i3−3−3i33−3i33+3i3-3303−3i323+3i3200000000−3+3i32−3−3i3200000000000000000000000000000−3300ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ110000000
χ641212-6-6-6-600003300006-60006-6000-330-3300000000000000000000000000000000000000
χ651212-6-6-6-60000330006-60006-6000-330-33000000000000000000000000000000000000000
χ661212-6-6-6-6000033000-60600-6060030-330-300000000000000000000000000000000000000
χ6712-12-6-66600003-300006-6000-66000-3303-300000000000000000000000000000000000000
χ6812-12-6-66600003-30006-6000-66000-3303-3000000000000000000000000000000000000000
χ6912-12-6-66600003-3000-6060060-60030-3-30300000000000000000000000000000000000000

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