Finite Group Databasebeta

← Group #11793107

Character table — Group #11793107

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1244222334446612121212366666666612121212121212121212446612121212121212121212121212121212121224446688881212121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ922222222-12222-1-1-122-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-100000000000000
χ1022222222-12222-1-1-122-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211000011111100000000000000
χ1122222222-12222-1-1-122-122-12-1-1-1-1-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2-2-211111111111122-2-2-1-10000-1-1111100000000000000
χ1222222222-12222-1-1-122-122-12-1-1-1-1-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2-2-2111111111111-2-22211000011-1-1-1-100000000000000
χ132222222-12222-1222-1-1-1-1-12-12-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-1000000
χ142222222-12222-1222-1-1-1-1-12-12-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-2-200000011111111000000
χ152222222-12222-1222-1-1-1-1-12-12-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-21111111100000022-2-2000000-1-1-1-11111000000
χ162222222-12222-1222-1-1-1-1-12-12-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-211111111000000-2-2220000001111-1-1-1-1000000
χ1722222-2-222-2-2222222222-22-2-22-2-2-2-2-22-2-222-2-22002-22-20000000000000000002i−2i000000002i2i−2i−2i00000000000000
χ1822222-2-222-2-2222222222-22-2-22-2-2-2-2-22-2-222-2-22002-22-2000000000000000000−2i2i00000000−2i−2i2i2i00000000000000
χ1922222-2-22-1-2-222-1-1-122-12-2-1-21-1111-2-2-111-1-111200-11-11000033−3−33333−3−3−3−3002i−2i−i3i30000−i3i3−i−iii00000000000000
χ2022222-2-22-1-2-222-1-1-122-12-2-1-21-1111-2-2-111-1-111200-11-11000033−3−33333−3−3−3−300−2i2ii3−i30000i3−i3ii−i−i00000000000000
χ2122222-2-22-1-2-222-1-1-122-12-2-1-21-1111-2-2-111-1-111200-11-110000−3−333−3−3−3−33333002i−2ii3−i30000i3−i3−i−iii00000000000000
χ2222222-2-22-1-2-222-1-1-122-12-2-1-21-1111-2-2-111-1-111200-11-110000−3−333−3−3−3−3333300−2i2i−i3i30000−i3i3ii−i−i00000000000000
χ232222-22-2222-2-22222222-22-2-2-22-2-222-2-22-222-2-2-200-22-220000000000000000000000002i−2i00000000002i2i−2i−2i000000
χ242222-22-2222-2-22222222-22-2-2-22-2-222-2-22-222-2-2-200-22-22000000000000000000000000−2i2i0000000000−2i−2i2i2i000000
χ252222-22-2-122-2-2-1222-1-1-11-1-21-2-1112-11-22-2-1-1111001-11-133−3−3000033−3−333−3−3000000002i−2i000000−i3−i3i3i3−i−iii000000
χ262222-22-2-122-2-2-1222-1-1-11-1-21-2-1112-11-22-2-1-1111001-11-133−3−3000033−3−333−3−300000000−2i2i000000i3i3−i3−i3ii−i−i000000
χ272222-22-2-122-2-2-1222-1-1-11-1-21-2-1112-11-22-2-1-1111001-11-1−3−3330000−3−333−3−333000000002i−2i000000i3i3−i3−i3−i−iii000000
χ282222-22-2-122-2-2-1222-1-1-11-1-21-2-1112-11-22-2-1-1111001-11-1−3−3330000−3−333−3−33300000000−2i2i000000−i3−i3i3i3ii−i−i000000
χ292222-2-2222-22-22222222-2-2-222222-2-22-2-222222-200-2-2-2-2000000000000000000000000000000000000000000002-2
χ302222-2-2222-22-22222222-2-2-222222-2-22-2-222222-200-2-2-2-200000000000000000000000000000000000000000000-22
χ3122-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22-222-2-22-22-22-22-22-22-22-22-2000000000000000000000000000000
χ3222-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-22-22-22-22-22-22-22-22000000000000000000000000000000
χ3322-2-22222-1-2-2-22-111-2-2-122-12-1-1-1-1-1-2-21111111-22-2-1-1112-22-2-11-11-11-11-11-110000−i3i30000i3−i3−i3i3−i3i300000000000000
χ3422-2-22222-1-2-2-22-111-2-2-122-12-1-1-1-1-1-2-21111111-22-2-1-1112-22-2-11-11-11-11-11-110000i3−i30000−i3i3i3−i3i3−i300000000000000
χ3522-2-22222-1-2-2-22-111-2-2-122-12-1-1-1-1-1-2-21111111-2-22-1-111-22-221-11-11-11-11-11-10000−i3i30000i3−i3i3−i3i3−i300000000000000
χ3622-2-22222-1-2-2-22-111-2-2-122-12-1-1-1-1-1-2-21111111-2-22-1-111-22-221-11-11-11-11-11-10000i3−i30000−i3i3−i3i3−i3i300000000000000
χ3722-2-2222-12-2-2-2-12-2-211-1-1-12-12-1-1-1211-2-2-2111112-2-1-111-11-112-22-2-11-11-11-1100000000000000003−33−33−33−3000000
χ3822-2-2222-12-2-2-2-12-2-211-1-1-12-12-1-1-1211-2-2-2111112-2-1-111-11-112-22-2-11-11-11-110000000000000000−33−33−33−33000000
χ3922-2-2222-12-2-2-2-12-2-211-1-1-12-12-1-1-1211-2-2-211111-22-1-1111-11-1-22-221-11-11-11-100000000000000003−33−3−33−33000000
χ4022-2-2222-12-2-2-2-12-2-211-1-1-12-12-1-1-1211-2-2-211111-22-1-1111-11-1-22-221-11-11-11-10000000000000000−33−333−33−3000000
χ4122-2-22-2-22222-222-2-2-2-222-22-2-22-2-2-222-222-2-222-2002-2-2200000000000000002-200220000-2-2000000000000000000
χ4222-2-22-2-22222-222-2-2-2-222-22-2-22-2-2-222-222-2-222-2002-2-220000000000000000-2200-2-2000022000000000000000000
χ4322-2-22-2-22-122-22-111-2-2-12-2-1-21-1111221-1-111-1-1-200-111-100003−3−333−33−3−33−332-200-1-10000113−3−3300000000000000
χ4422-2-22-2-22-122-22-111-2-2-12-2-1-21-1111221-1-111-1-1-200-111-100003−3−333−33−3−33−33-2200110000-1-1−333−300000000000000
χ4522-2-22-2-22-122-22-111-2-2-12-2-1-21-1111221-1-111-1-1-200-111-10000−333−3−33−333−33−32-200-1-1000011−333−300000000000000
χ4622-2-22-2-22-122-22-111-2-2-12-2-1-21-1111221-1-111-1-1-200-111-10000−333−3−33−333−33−3-2200110000-1-13−3−3300000000000000
χ4722-2-2-22-222-22222-2-2-2-22-22-2-2-22-2-22-222-22-2-222200-222-200000000000000000000002i−2i000000002i−2i−2i2i0000000000
χ4822-2-2-22-222-22222-2-2-2-22-22-2-2-22-2-22-222-22-2-222200-222-20000000000000000000000−2i2i00000000−2i2i2i−2i0000000000
χ4922-2-2-22-2-12-222-12-2-211-11-1-21-2-11121-12-2211-1-1-1001-1-113−3−3300003−3−333−3−330000002i−2i00000000−iii−ii3−i3−i3i3000000
χ5022-2-2-22-2-12-222-12-2-211-11-1-21-2-11121-12-2211-1-1-1001-1-113−3−3300003−3−333−3−33000000−2i2i00000000i−i−ii−i3i3i3−i3000000
χ5122-2-2-22-2-12-222-12-2-211-11-1-21-2-11121-12-2211-1-1-1001-1-11−333−30000−333−3−333−30000002i−2i00000000−iii−i−i3i3i3−i3000000
χ5222-2-2-22-2-12-222-12-2-211-11-1-21-2-11121-12-2211-1-1-1001-1-11−333−30000−333−3−333−3000000−2i2i00000000i−i−iii3−i3−i3i3000000
χ5322-2-2-2-22222-2222-2-2-2-22-2-2-222222-22-222-2-2-2-2-2200-2-222000000000000000000000000000000000000000022-2-200
χ5422-2-2-2-22222-2222-2-2-2-22-2-2-222222-22-222-2-2-2-2-2200-2-2220000000000000000000000000000000000000000-2-22200
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-4-24-4-44-2444-2-2-2-2242-4-222-4224-4-4-2-222-200-22-220000000000000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-2-2-2-21-22-2221-1-1222-22211-1-1-2001-11-100002323−23−23−3−3−3−33333000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-2-2-2-21-22-2221-1-1222-22211-1-1-2001-11-10000−23−2323233333−3−3−3−3000000000000000000000000000000
χ604444-44-44-24-4-44-2-2-244-2-442-42-222-24-42-22-2-222-4002-22-20000000000000000000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-212-22221-1-1-2-222-2211-1-1200-11-112323−23−230000−3−333−3−333000000000000000000000000000000
χ624444-44-4-2-24-4-4-2-2-2-2-2-212-22221-1-1-2-222-2211-1-1200-11-11−23−232323000033−3−333−3−3000000000000000000000000000000
χ634444-4-444-2-44-44-2-2-244-2-4-424-2-2-2-22-4422-2-2-2-2-2-40022220000000000000000000000000000000000000000000000
χ644444-4-44-24-44-4-2444-2-2-222-4-24-2-2-2-42-2-4-44-2-2-2-220022220000000000000000000000000000000000000000000000
χ654444-4-44-2-2-44-4-2-2-2-2-2-21222-2-211122-222-21111200-1-1-1-10000000033-3-3-3-333000000000000000000000000000000
χ664444-4-44-2-2-44-4-2-2-2-2-2-21222-2-211122-222-21111200-1-1-1-100000000-3-33333-3-3000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-124-411-1-1-22-22-22-221-11-11-11-1000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-12-4411-1-12-22-22-22-2-11-11-11-11000000000000000000000000000000
χ6944-4-44-4-4-2444-4-24-4-422-2-2242-4-222-4-2-2-44422-2-2200-222-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-2-222221-22-2221-1-12-2-22-2-2-1-1112001-1-11000023−23−2323−33−333−33−3000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-222221-22-2221-1-12-2-22-2-2-1-1112001-1-110000−232323−233−33−3−33−33000000000000000000000000000000
χ7244-4-4-44-44-2-4444-222-4-4-2-442-42-222-2-44-22-222-2-24002-2-220000000000000000000000000000000000000000000000
χ7344-4-4-44-4-2-2-444-2-2222212-22221-1-1-22-2-22-2-1-111-200-111-123−23−23230000−333−3−333−3000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-2222212-22221-1-1-22-2-22-2-1-111-200-111-1−232323−2300003−3−333−3−33000000000000000000000000000000
χ7544-4-4-4-444-24-444-222-4-4-2-4-424-2-2-2-224-4-2-22222240022-2-20000000000000000000000000000000000000000000000
χ7644-4-4-4-44-244-44-24-4-422-222-4-24-2-2-2-4-2244-42222-20022-2-20000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-222221222-2-21112-22-2-22-1-1-1-1-200-1-111000000003-3-33-333-3000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-222221222-2-21112-22-2-22-1-1-1-1-200-1-11100000000-333-33-3-33000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i400000-4000000004i−4i00000000000000000000000000000000000000000000000002-22i−2i00
χ804-44i−4i00044000-4-44i−4i4i−4i400000-4000000004i−4i0000000000000000000000000000000000000000000000000-22−2i2i00
χ814-4−4i4i00044000-4-4−4i4i−4i4i400000-400000000−4i4i00000000000000000000000000000000000000000000000002-2−2i2i00
χ824-4−4i4i00044000-4-4−4i4i−4i4i400000-400000000−4i4i0000000000000000000000000000000000000000000000000-222i−2i00
χ838-88i−8i0008-4000-84−4i4i8i−8i-400000400000000−4i4i0000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-88i−8i−4i4i-400000400000000−4i4i0000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i200000-26-60000002i−2i6i−6i00000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i200000-2-660000002i−2i−6i6i00000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-844i−4i−8i8i-4000004000000004i−4i0000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-8−8i8i4i−4i-4000004000000004i−4i0000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i200000-26-6000000−2i2i−6i6i00000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i200000-2-66000000−2i2i6i−6i00000000000000000000000000000000000000000000000000000

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