Finite Group Databasebeta

← Group #11793861

Character table — Group #11793861

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12442223344466121212123666666666121212121212121212126688121224242424242424242424242424242424224466668888121212122424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ922222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-1000000
χ1022222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-20-2001100-2-2001100001111000000
χ1122222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111020200-1-100-2-200-1-100001111000000
χ1222222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1-2-2-1-1-2-2-2-21111111111110-20-20011002200110000-1-1-1-1000000
χ132222222-12222-12-1-122-1-1-1-1222-1-1-1-12-1-1-12-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-10000000000
χ142222222-12222-12-1-122-1-1-1-1222-1-1-1-12-1-1-12-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-201100-2-200110011110000000000
χ152222222-12222-12-1-122-1-1-1-1222-1-1-1-12-1-1-12-1-1-12-1-1-2-2-1-11111-2-2-2-2111111112020-1-100-2-200-1-10011110000000000
χ162222222-12222-12-1-122-1-1-1-1222-1-1-1-12-1-1-12-1-1-12-1-1-2-2-1-11111-2-2-2-211111111-20-20110022001100-1-1-1-10000000000
χ1722222-2-2222-2-222222222-2-22-2-2-2-222-222-2-2-2-2-222-2002-20000000000000000000000002i−2i0000002i2i−2i−2i0000000000
χ1822222-2-2222-2-222222222-2-22-2-2-2-222-222-2-2-2-2-222-2002-2000000000000000000000000−2i2i000000−2i−2i2i2i0000000000
χ1922222-2-2-122-2-2-12-1-122-1-1112-2-211-1-1-2-1-11-21112-1100-1133−3−300003333−3−3−3−30000−i3i3002i−2i00−i3i300−i−iii0000000000
χ2022222-2-2-122-2-2-12-1-122-1-1112-2-211-1-1-2-1-11-21112-1100-1133−3−300003333−3−3−3−30000i3−i300−2i2i00i3−i300ii−i−i0000000000
χ2122222-2-2-122-2-2-12-1-122-1-1112-2-211-1-1-2-1-11-21112-1100-11−3−3330000−3−3−3−333330000−i3i300−2i2i00−i3i300ii−i−i0000000000
χ2222222-2-2-122-2-2-12-1-122-1-1112-2-211-1-1-2-1-11-21112-1100-11−3−3330000−3−3−3−333330000i3−i3002i−2i00i3−i300−i−iii0000000000
χ232222-22-222-22-22222222-22-2-22-2-2-22-2222-2-2-2-22-2-2200-22000000000000000000000000002i−2i000000002i2i−2i−2i000000
χ242222-22-222-22-22222222-22-2-22-2-2-22-2222-2-2-2-22-2-2200-2200000000000000000000000000−2i2i00000000−2i−2i2i2i000000
χ252222-22-22-1-22-22-122-1-1-1-22-21-1111-1-2-1-1-1-2111211-1001-1000033−3−333−3−333−3−3000000−i3i3002i−2i00−i3i30000−i−iii000000
χ262222-22-22-1-22-22-122-1-1-1-22-21-1111-1-2-1-1-1-2111211-1001-1000033−3−333−3−333−3−3000000i3−i300−2i2i00i3−i30000ii−i−i000000
χ272222-22-22-1-22-22-122-1-1-1-22-21-1111-1-2-1-1-1-2111211-1001-10000−3−333−3−333−3−333000000−i3i300−2i2i00−i3i30000ii−i−i000000
χ282222-22-22-1-22-22-122-1-1-1-22-21-1111-1-2-1-1-1-2111211-1001-10000−3−333−3−333−3−333000000i3−i3002i−2i00i3−i30000−i−iii000000
χ292222-2-2222-2-222222222-2-22-2-22222-2-2222222-2-2-2-200-2-2000000000000000000000000000000000000000000002-2
χ302222-2-2222-2-222222222-2-22-2-22222-2-2222222-2-2-2-200-2-200000000000000000000000000000000000000000000-22
χ3122-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2222i−2i-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ3222-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222−2i2i-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ3322-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1-2111-2111-21-1-12i−2i112i−2i2i−2i−ii−ii−ii−ii−ii−ii000000−i3i3000000i3−i300003−33−3000000
χ3422-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1-2111-2111-21-1-12i−2i112i−2i2i−2i−ii−ii−ii−ii−ii−ii000000i3−i3000000−i3i30000−33−33000000
χ3522-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1-2111-2111-21-1-1−2i2i11−2i2i−2i2ii−ii−ii−ii−ii−ii−i000000−i3i3000000i3−i30000−33−33000000
χ3622-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1-2111-2111-21-1-1−2i2i11−2i2i−2i2ii−ii−ii−ii−ii−ii−i000000i3−i3000000−i3i300003−33−3000000
χ3722-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2111-2111-2-1-12i−2i11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000−i3i3000000i3−i3003−33−30000000000
χ3822-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2111-2111-2-1-12i−2i11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000i3−i3000000−i3i300−33−330000000000
χ3922-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2111-2111-2-1-1−2i2i11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000−i3i3000000i3−i300−33−330000000000
χ4022-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2111-2111-2-1-1−2i2i11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000i3−i3000000−i3i3003−33−30000000000
χ4122-2-22-2-222-22222-2-2-2-222-2-22-2-2-2-22-22-2-222222-22-200-22000000000000000020-2022000000-2-20000000000000000
χ4222-2-22-2-222-22222-2-2-2-222-2-22-2-2-2-22-22-2-222222-22-200-220000000000000000-2020-2-2000000220000000000000000
χ4322-2-22-2-2-12-222-1211-2-2-1-1112-2-211-11211-12-1-1-1-2-11001-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i320-20-1-10000001100−i3i3i3−i30000000000
χ4422-2-22-2-2-12-222-1211-2-2-1-1112-2-211-11211-12-1-1-1-2-11001-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-202011000000-1-100i3−i3−i3i30000000000
χ4522-2-22-2-2-12-222-1211-2-2-1-1112-2-211-11211-12-1-1-1-2-11001-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i320-20-1-10000001100i3−i3−i3i30000000000
χ4622-2-22-2-2-12-222-1211-2-2-1-1112-2-211-11211-12-1-1-1-2-11001-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-202011000000-1-100−i3i3i3−i30000000000
χ4722-2-2-22-2222-2222-2-2-2-22-22-2-22-2-2-222-2-2-22222-22-22002-20000000000000000020-20022000000-2-200000000000000
χ4822-2-2-22-2222-2222-2-2-2-22-22-2-22-2-2-222-2-2-22222-22-22002-200000000000000000-20200-2-20000002200000000000000
χ4922-2-2-22-22-12-222-1-2-211-1-22-21-1111-121112-1-1-1-2-11-100-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3020-200-1-1000000110000−i3i3i3−i3000000
χ5022-2-2-22-22-12-222-1-2-211-1-22-21-1111-121112-1-1-1-2-11-100-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30-2020011000000-1-10000i3−i3−i3i3000000
χ5122-2-2-22-22-12-222-1-2-211-1-22-21-1111-121112-1-1-1-2-11-100-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3020-200-1-1000000110000i3−i3−i3i3000000
χ5222-2-2-22-22-12-222-1-2-211-1-22-21-1111-121112-1-1-1-2-11-100-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30-2020011000000-1-10000−i3i3i3−i3000000
χ5322-2-2-2-222222-222-2-2-2-22-2-22-2-2222222-2-2-2-2-2-222-2-20022000000000000000000000000000000000000000022-2-200
χ5422-2-2-2-222222-222-2-2-2-22-2-22-2-2222222-2-2-2-2-2-222-2-200220000000000000000000000000000000000000000-2-22200
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-2-211-2-211-2-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-2-211-2-211-2-211-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-24-4-44-244-2-2-24-4-4-22222-242-2-2-4222-4-2-2200-220000000000000000000000000000000000000000000000
χ5844444-4-4-2-24-4-4-2-2-2-2-2-21-222-222-1-11-221122-1-12-21-1001-12323−23−230000−3−3−3−33333000000000000000000000000000000
χ5944444-4-4-2-24-4-4-2-2-2-2-2-21-222-222-1-11-221122-1-12-21-1001-1−23−23232300003333−3−3−3−3000000000000000000000000000000
χ604444-44-4-24-44-4-24-2-244-22-22-44-422-224-2-22-422-2-42-2002-20000000000000000000000000000000000000000000000
χ614444-44-4-2-2-44-4-2-2-2-2-2-212-222-22-1-112-21122-1-1-22-1100-1100002323−23−23−3−333−3−333000000000000000000000000000000
χ624444-44-4-2-2-44-4-2-2-2-2-2-212-222-22-1-112-21122-1-1-22-1100-110000−23−23232333−3−333−3−3000000000000000000000000000000
χ634444-4-444-2-4-444-244-2-2-2-4-4422-2-2-2-2-42-2-24-2-2-2-422200220000000000000000000000000000000000000000000000
χ644444-4-44-24-4-44-24-2-244-222-2-4-44-2-2-22-4-2-2-24-2-22-42200220000000000000000000000000000000000000000000000
χ654444-4-44-2-2-4-44-2-2-2-2-2-2122-222-21112211-2-21122-1-100-1-10000000033-3-3-3-333000000000000000000000000000000
χ664444-4-44-2-2-4-44-2-2-2-2-2-2122-222-21112211-2-21122-1-100-1-100000000-3-33333-3-3000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-211122-1-122-1-122114i−4i-1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-211122-1-122-1-12211−4i4i-1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii000000000000000000000000000000
χ6944-4-44-4-44-2-4444-2-4-422-24-4-4-22222-2-4-2224-2-2-242-22002-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-2-444-2-222221-222-222-1-112-2-1-1-2-211-221-100-11−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000
χ7144-4-44-4-4-2-2-444-2-222221-222-222-1-112-2-1-1-2-211-221-100-112i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000
χ7244-4-4-44-4-244-44-2422-4-4-22-22-44-422-2-2-422-24-2-2242-200-220000000000000000000000000000000000000000000000
χ7344-4-4-44-4-2-24-44-2-2222212-222-22-1-11-22-1-1-2-2112-2-11001-10000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ7444-4-4-44-4-2-24-44-2-2222212-222-22-1-11-22-1-1-2-2112-2-11001-100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ7544-4-4-4-444-244-44-2-4-422-2-4-4422-2-2-2-24-222-42224-22200-2-20000000000000000000000000000000000000000000000
χ7644-4-4-4-44-2444-4-2422-4-4-222-2-4-44-2-2-2-24222-422-242200-2-20000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-244-4-2-22222122-222-2111-2-2-1-122-1-1-2-2-1-10011000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ7844-4-4-4-44-2-244-4-2-22222122-222-2111-2-2-1-122-1-1-2-2-1-1001100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i400000000-4004i−4i00000000000000000000000000000000000000000000000000002-22i−2i00
χ804-44i−4i00044000-4-44i−4i4i−4i400000000-4004i−4i0000000000000000000000000000000000000000000000000000-22−2i2i00
χ814-4−4i4i00044000-4-4−4i4i−4i4i400000000-400−4i4i00000000000000000000000000000000000000000000000000002-2−2i2i00
χ824-4−4i4i00044000-4-4−4i4i−4i4i400000000-400−4i4i0000000000000000000000000000000000000000000000000000-222i−2i00
χ838-88i−8i0008-4000-848i−8i−4i4i-400000000400−4i4i0000000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-400000000400−4i4i0000000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i20000006-6-2002i−2i006i−6i000000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i2000000-66-2002i−2i00−6i6i000000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-4000000004004i−4i0000000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-4000000004004i−4i0000000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i20000006-6-200−2i2i00−6i6i000000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i2000000-66-200−2i2i006i−6i000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).