Finite Group Databasebeta

← Group #11793110

Character table — Group #11793110

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1244222334446612121212366666666612121212121212121212668812122424242424242424242424242424242424444466881212121212121212121224242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ922222222-12222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200-1-100-1-1-1-1-1-100000000000000
χ1022222222-12222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200110011111100000000000000
χ1122222222-12222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111122-2-200-1-100-1-1111100000000000000
χ1222222222-12222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-22200110011-1-1-1-100000000000000
χ132222222-12222-12-1-122-1-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220022000000-1-1-1-1-1-1-1-1000000
χ142222222-12222-12-1-122-1-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-200-2-200000011111111000000
χ152222222-12222-12-1-122-1-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-1-2-2-1-11111-2-2-2-21111111100002200-2-2000000-1-1-1-11111000000
χ162222222-12222-12-1-122-1-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-200220000001111-1-1-1-1000000
χ1722222-2-222-2-2222222222-22-2-2-22-2-2-2-22-2-2-2-22222-2002-2000000000000000000000000000000000000000000002i−2i
χ1822222-2-222-2-2222222222-22-2-2-22-2-2-2-22-2-2-2-22222-2002-200000000000000000000000000000000000000000000−2i2i
χ192222-22-2222-2-22222222-22-22222-2-22-2-22-22222-2-2-200-2-20000000000000000000000002i−2i00000000002i2i−2i−2i000000
χ202222-22-2222-2-22222222-22-22222-2-22-2-22-22222-2-2-200-2-2000000000000000000000000−2i2i0000000000−2i−2i2i2i000000
χ212222-22-2-122-2-2-12-1-122-11-1-22-1-1-11-2-11-22-2-1-1-1-11110011−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3000000002i−2i00000033−3−3−i−iii000000
χ222222-22-2-122-2-2-12-1-122-11-1-22-1-1-11-2-11-22-2-1-1-1-11110011−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300000000−2i2i000000−3−333ii−i−i000000
χ232222-22-2-122-2-2-12-1-122-11-1-22-1-1-11-2-11-22-2-1-1-1-11110011i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3000000002i−2i000000−3−333−i−iii000000
χ242222-22-2-122-2-2-12-1-122-11-1-22-1-1-11-2-11-22-2-1-1-1-11110011i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300000000−2i2i00000033−3−3ii−i−i000000
χ252222-2-2222-22-22222222-2-2-2-2-2-2222-22-2-22-2-222-2-2200-220000000000000000002-20000000022-2-200000000000000
χ262222-2-2222-22-22222222-2-2-2-2-2-2222-22-2-22-2-222-2-2200-22000000000000000000-2200000000-2-22200000000000000
χ272222-2-222-1-22-22-122-1-1-1-2-21111-12-1-2211-111-1-1-21-1001-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002-200−i3i300−i3i3-1-11100000000000000
χ282222-2-222-1-22-22-122-1-1-1-2-21111-12-1-2211-111-1-1-21-1001-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-2200i3−i300i3−i311-1-100000000000000
χ292222-2-222-1-22-22-122-1-1-1-2-21111-12-1-2211-111-1-1-21-1001-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002-200i3−i300i3−i3-1-11100000000000000
χ302222-2-222-1-22-22-122-1-1-1-2-21111-12-1-2211-111-1-1-21-1001-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-2200−i3i300−i3i311-1-100000000000000
χ3122-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-200000000002-22-20000000000
χ3222-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-220000000000-22-220000000000
χ3322-2-2222-12-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-2-211111-1-100113−33−300003−33−33−33−300002-20000000000-11-113−33−3000000
χ3422-2-2222-12-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-2-211111-1-100113−33−300003−33−33−33−30000-2200000000001-11-1−33−33000000
χ3522-2-2222-12-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-2-211111-1-10011−33−330000−33−33−33−3300002-20000000000-11-11−33−33000000
χ3622-2-2222-12-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-2-211111-1-10011−33−330000−33−33−33−330000-2200000000001-11-13−33−3000000
χ3722-2-22-2-22222-222-2-2-2-222-22-2-2-22-2-222-22222-2-2-22-200-2200000000000000002-200002200-2-2000000000000000000
χ3822-2-22-2-22222-222-2-2-2-222-22-2-2-22-2-222-22222-2-2-22-200-220000000000000000-220000-2-20022000000000000000000
χ3922-2-22-2-22-122-22-1-2-211-12-2-1111-1-21221-1-1-1-111-2-11001-100003−33−33−3−33−333−32-20000-1-100113−33−300000000000000
χ4022-2-22-2-22-122-22-1-2-211-12-2-1111-1-21221-1-1-1-111-2-11001-100003−33−33−3−33−333−3-2200001100-1-1−33−3300000000000000
χ4122-2-22-2-22-122-22-1-2-211-12-2-1111-1-21221-1-1-1-111-2-11001-10000−33−33−333−33−3−332-20000-1-10011−33−3300000000000000
χ4222-2-22-2-22-122-22-1-2-211-12-2-1111-1-21221-1-1-1-111-2-11001-10000−33−33−333−33−3−33-2200001100-1-13−33−300000000000000
χ4322-2-2-22-222-22222-2-2-2-22-22-22222-2-2-222-22-2-2-2-22-2-22i−2i222i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ4422-2-2-22-222-22222-2-2-2-22-22-22222-2-2-222-22-2-2-2-22-2-2−2i2i22−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ4522-2-2-22-22-1-2222-1-2-211-1-221-1-1-1-1-21-22-11-111112112i−2i-1-12i−2i−2i2i−iii−i−ii−iii−ii−i000000−i3i300i3−i33−3−3300000000000000
χ4622-2-2-22-22-1-2222-1-2-211-1-221-1-1-1-1-21-22-11-111112112i−2i-1-12i−2i−2i2i−iii−i−ii−iii−ii−i000000i3−i300−i3i3−333−300000000000000
χ4722-2-2-22-22-1-2222-1-2-211-1-221-1-1-1-1-21-22-11-11111211−2i2i-1-1−2i2i2i−2ii−i−iii−ii−i−ii−ii000000−i3i300i3−i3−333−300000000000000
χ4822-2-2-22-22-1-2222-1-2-211-1-221-1-1-1-1-21-22-11-11111211−2i2i-1-1−2i2i2i−2ii−i−iii−ii−i−ii−ii000000i3−i300−i3i33−3−3300000000000000
χ4922-2-2-22-2-12-222-1211-2-2-11-1-22-1-1-11-21-12-221111-1112i−2i-1-1−iii−i2i−2i−2i2i−ii−iii−ii−i00000000000000003−3−33i3−i3−i3i3000000
χ5022-2-2-22-2-12-222-1211-2-2-11-1-22-1-1-11-21-12-221111-1112i−2i-1-1−iii−i2i−2i−2i2i−ii−iii−ii−i0000000000000000−333−3−i3i3i3−i3000000
χ5122-2-2-22-2-12-222-1211-2-2-11-1-22-1-1-11-21-12-221111-111−2i2i-1-1i−i−ii−2i2i2i−2ii−ii−i−ii−ii00000000000000003−3−33−i3i3i3−i3000000
χ5222-2-2-22-2-12-222-1211-2-2-11-1-22-1-1-11-21-12-221111-111−2i2i-1-1i−i−ii−2i2i2i−2ii−ii−i−ii−ii0000000000000000−333−3i3−i3−i3i3000000
χ5322-2-2-2-22222-2222-2-2-2-22-2-2-2-2-2-22222-222-222-2-22-22002-2000000000000000000000000000000000000000022-2-200
χ5422-2-2-2-22222-2222-2-2-2-22-2-2-2-2-2-22222-222-222-2-22-22002-20000000000000000000000000000000000000000-2-22200
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-211-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-2-4-444-244-2-2-24-4-2222-2-42-4-4-22222-2-24-2200-220000000000000000000000000000000000000000000000
χ5844444-4-4-24-4-44-24-2-244-2-224-422-22-4224-4-422-2-2-2-2200-220000000000000000000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-2-2-2-21-22-22-1-112222-222-1-111-21-1001-10000000033-3-3-3-333000000000000000000000000000000
χ6044444-4-4-2-2-4-44-2-2-2-2-2-21-22-22-1-112222-222-1-111-21-1001-100000000-3-33333-3-3000000000000000000000000000000
χ614444-44-44-24-4-44-244-2-2-2-442-2-2-2-2-424-42-22-2-2-2-2-42200220000000000000000000000000000000000000000000000
χ624444-44-4-2-24-4-4-2-2-2-2-2-212-22-211122-222-2211112-1-100-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ634444-44-4-2-24-4-4-2-2-2-2-2-212-22-211122-222-2211112-1-100-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ644444-4-44-24-44-4-24-2-244-222-4-422-2-242-2-4-4422-2-222-2002-20000000000000000000000000000000000000000000000
χ654444-4-44-2-2-44-4-2-2-2-2-2-212222-1-11-2-22-222-2-1-1112-1100-110000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ664444-4-44-2-2-44-4-2-2-2-2-2-212222-1-11-2-22-222-2-1-1112-1100-1100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ6744-4-44444-2-4-4-44-2-4-422-244-2-2-2-2-24-2-4-42222222-4-2-200220000000000000000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-121100-1-123−2323−230000−33−33−33−33000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-121100-1-1−2323−232300003−33−33−33−3000000000000000000000000000000
χ7044-4-44-4-4-2444-4-2422-4-4-2-224-422-22-4-2-2-444-2-2222-22002-20000000000000000000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-222221-22-22-1-1122-2-22-2-211-1-121-100-11000023−2323−23−333−33−3−33000000000000000000000000000000
χ7244-4-44-4-4-2-244-4-2-222221-22-22-1-1122-2-22-2-211-1-121-100-110000−2323−23233−3−33−333−3000000000000000000000000000000
χ7344-4-4-44-4-2-2-444-2-2222212-22-2111222-2-22-2-1-1-1-1-2-1-14i−4i11−2i2i2i−2i−2i2i2i−2ii−ii−i−ii−ii000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-2222212-22-2111222-2-22-2-1-1-1-1-2-1-1−4i4i112i−2i−2i2i2i−2i−2i2i−ii−iii−ii−i000000000000000000000000000000
χ7544-4-4-4-444-24-444-2-4-422-2-4-42222-24-24-4-2-22-2-22242-200-220000000000000000000000000000000000000000000000
χ7644-4-4-4-44-244-44-2422-4-4-222-4-422-2-24-2244-4-2-222-22-200-220000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-2222212222-1-11-2-2-22-2-2211-1-1-2-11001-1000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-2222212222-1-11-2-2-22-2-2211-1-1-2-11001-100000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i4000000-40000000004i−4i000000000000000000000000000000000000000000000002-22i−2i00
χ804-44i−4i00044000-4-44i−4i4i−4i4000000-40000000004i−4i00000000000000000000000000000000000000000000000-22−2i2i00
χ814-4−4i4i00044000-4-4−4i4i−4i4i4000000-4000000000−4i4i000000000000000000000000000000000000000000000002-2−2i2i00
χ824-4−4i4i00044000-4-4−4i4i−4i4i4000000-4000000000−4i4i00000000000000000000000000000000000000000000000-222i−2i00
χ838-88i−8i0008-4000-848i−8i−4i4i-40000004000000000−4i4i00000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-40000004000000000−4i4i00000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i200006-6-200000006i−6i2i−2i00000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i20000-66-20000000−6i6i2i−2i00000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-400000040000000004i−4i00000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-400000040000000004i−4i00000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i200006-6-20000000−6i6i−2i2i00000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i20000-66-200000006i−6i−2i2i00000000000000000000000000000000000000000000000000000

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