Finite Group Databasebeta

← Group #11792416

Character table — Group #11792416

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1244222334446612121212366666666612121212121212121212446612121212121212121212121212121212121224446688881212121212122424242424242424224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1
χ922222222-12222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200-1-12200-1-10000-1-1-1-10000000000
χ1022222222-12222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20011-2-20011000011110000000000
χ1122222222-12222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2-2-21111111111112200-1-1-2-200-1-1000011110000000000
χ1222222222-12222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2-2-2111111111111-2-200112200110000-1-1-1-10000000000
χ132222222-12222-12-1-122-1-122-12-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200002200-1-1-1-10000-1-1-1-1000000
χ142222222-12222-12-1-122-1-122-12-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-20000-2-200111100001111000000
χ152222222-12222-12-1-122-1-122-12-1-1-1-1-1-1222-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-21111111100220000-2-200-1-1-1-100001111000000
χ162222222-12222-12-1-122-1-122-12-1-1-1-1-1-1222-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-21111111100-2-20000220011110000-1-1-1-1000000
χ1722222-2-222-2-22222222222-2-2-22-2-2-2-2-22-2-222-2-22002-22-20000000000000000000000002-2000000000022-2-2000000
χ1822222-2-222-2-22222222222-2-2-22-2-2-2-2-22-2-222-2-22002-22-2000000000000000000000000-220000000000-2-222000000
χ1922222-2-2-12-2-22-12-1-122-1-12-21-2-1111112-2-2-1-111-100-11-1133−3−300003333−3−3−3−3000000002-20033−3−30000-1-111000000
χ2022222-2-2-12-2-22-12-1-122-1-12-21-2-1111112-2-2-1-111-100-11-1133−3−300003333−3−3−3−300000000-2200−3−333000011-1-1000000
χ2122222-2-2-12-2-22-12-1-122-1-12-21-2-1111112-2-2-1-111-100-11-11−3−3330000−3−3−3−33333000000002-200−3−3330000-1-111000000
χ2222222-2-2-12-2-22-12-1-122-1-12-21-2-1111112-2-2-1-111-100-11-11−3−3330000−3−3−3−3333300000000-220033−3−3000011-1-1000000
χ232222-22-2222-2-22222222-2-2-222222-22-2-22-22222-22-2-2-2-2-22-22-222-2-222-2-222-2-2000000000000000000000000000000
χ242222-22-2222-2-22222222-2-2-222222-22-2-22-22222-2-22-2-2-2-2-22-22-2-222-2-222-2-222000000000000000000000000000000
χ252222-22-22-12-2-22-122-1-1-1-2112-1-1-1-1-22-21-11-1-1-1-1-22-211112-22-2-1-111-1-111-1-1110000−i3i30000−i3i30000−i3−i3i3i30000000000
χ262222-22-22-12-2-22-122-1-1-1-2112-1-1-1-1-22-21-11-1-1-1-1-22-211112-22-2-1-111-1-111-1-1110000i3−i30000i3−i30000i3i3−i3−i30000000000
χ272222-22-22-12-2-22-122-1-1-1-2112-1-1-1-1-22-21-11-1-1-1-1-2-221111-22-2211-1-111-1-111-1-10000−i3i30000−i3i30000i3i3−i3−i30000000000
χ282222-22-22-12-2-22-122-1-1-1-2112-1-1-1-1-22-21-11-1-1-1-1-2-221111-22-2211-1-111-1-111-1-10000i3−i30000i3−i30000−i3−i3i3i30000000000
χ292222-22-2-122-2-2-12-1-122-11-2-2-12-1-1-11-11-22-2-1-1-1-112-21111-11-1122-2-2-1-111-1-1110000000000003−33−300003−33−3000000
χ302222-22-2-122-2-2-12-1-122-11-2-2-12-1-1-11-11-22-2-1-1-1-112-21111-11-1122-2-2-1-111-1-111000000000000−33−330000−33−33000000
χ312222-22-2-122-2-2-12-1-122-11-2-2-12-1-1-11-11-22-2-1-1-1-11-2211111-11-1-2-22211-1-111-1-10000000000003−33−30000−33−33000000
χ322222-22-2-122-2-2-12-1-122-11-2-2-12-1-1-11-11-22-2-1-1-1-11-2211111-11-1-2-22211-1-111-1-1000000000000−33−3300003−33−3000000
χ332222-2-2222-22-22222222-2-22-2-22-2-22-22-2-2222-2-2-200-22-220000000000000000002-2000000002-2-2200000000000000
χ342222-2-2222-22-22222222-2-22-2-22-2-22-22-2-2222-2-2-200-22-22000000000000000000-2200000000-222-200000000000000
χ352222-2-22-12-22-2-12-1-122-11-221-2-111-11-1-2-22-1-1111001-11-13−3−33000033−3−3−3−333002-200000000-111-10000−333−3000000
χ362222-2-22-12-22-2-12-1-122-11-221-2-111-11-1-2-22-1-1111001-11-13−3−33000033−3−3−3−33300-22000000001-1-1100003−3−33000000
χ372222-2-22-12-22-2-12-1-122-11-221-2-111-11-1-2-22-1-1111001-11-1−333−30000−3−33333−3−3002-200000000-111-100003−3−33000000
χ382222-2-22-12-22-2-12-1-122-11-221-2-111-11-1-2-22-1-1111001-11-1−333−30000−3−33333−3−300-22000000001-1-110000−333−3000000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-2000000000000000000000000000000000000000022-2-200
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000000000000000000000000000-2-22200
χ4122-2-22-2-22222-222-2-2-2-2222-2-2-22-2-2-222-222-2-222-2002-2-2200000000000000000000002i−2i000000002i−2i2i−2i0000000000
χ4222-2-22-2-22222-222-2-2-2-2222-2-2-22-2-2-222-222-2-222-2002-2-220000000000000000000000−2i2i00000000−2i2i−2i2i0000000000
χ4322-2-22-2-22-122-22-1-2-211-12-11-21-111-2221-1-111-1-1-200-111-100003−33−33−33−33−33−30000−i3i32i−2i00i3−i30000−ii−ii0000000000
χ4422-2-22-2-22-122-22-1-2-211-12-11-21-111-2221-1-111-1-1-200-111-100003−33−33−33−33−33−30000i3−i3−2i2i00−i3i30000i−ii−i0000000000
χ4522-2-22-2-22-122-22-1-2-211-12-11-21-111-2221-1-111-1-1-200-111-10000−33−33−33−33−33−330000−i3i3−2i2i00i3−i30000i−ii−i0000000000
χ4622-2-22-2-22-122-22-1-2-211-12-11-21-111-2221-1-111-1-1-200-111-10000−33−33−33−33−33−330000i3−i32i−2i00−i3i30000−ii−ii0000000000
χ4722-2-2-22-222-22222-2-2-2-22-2-2-222222-2-222-22-2-2-2-2200-2-222000000000000000000000000000000000000000000002-2
χ4822-2-2-22-222-22222-2-2-2-22-2-2-222222-2-222-22-2-2-2-2200-2-22200000000000000000000000000000000000000000000-22
χ4922-2-2-2-22222-2222-2-2-2-22-2-22-2-22-2-222-222-2-2-222200-222-200000000000000002-200220000-2-2000000000000000000
χ5022-2-2-2-22222-2222-2-2-2-22-2-22-2-22-2-222-222-2-2-222200-222-20000000000000000-2200-2-2000022000000000000000000
χ5122-2-2-2-222-12-222-1-2-211-1-21-1-21-11122-2-1-1111-1-12001-1-1100003−3−333−3−333−3−332-200-1-100001100003−3−330000000000
χ5222-2-2-2-222-12-222-1-2-211-1-21-1-21-11122-2-1-1111-1-12001-1-1100003−3−333−3−333−3−33-2200110000-1-10000−333−30000000000
χ5322-2-2-2-222-12-222-1-2-211-1-21-1-21-11122-2-1-1111-1-12001-1-110000−333−3−333−3−333−32-200-1-10000110000−333−30000000000
χ5422-2-2-2-222-12-222-1-2-211-1-21-1-21-11122-2-1-1111-1-12001-1-110000−333−3−333−3−333−3-2200110000-1-100003−3−330000000000
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
χ5744444-4-44-2-4-444-244-2-2-24-22-42-222-4-4-4-222-2-222400-22-220000000000000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-2-2-2-21-2-22221-1-1222-22211-1-1-2001-11-12323−23−230000−3−3−3−33333000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-2-2-2-21-2-22221-1-1222-22211-1-1-2001-11-1−23−23232300003333−3−3−3−3000000000000000000000000000000
χ604444-44-4-2-24-4-4-2-2-2-2-2-21222-2-21112-222-22111124-4-1-1-1-1-22-22-2-22211-1-111-1-1000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-21222-2-21112-222-2211112-44-1-1-1-12-22-222-2-2-1-111-1-111000000000000000000000000000000
χ624444-4-444-2-44-44-244-2-2-2-42-2-42-2224-4422-2-2-222-4002-22-20000000000000000000000000000000000000000000000
χ634444-4-44-2-2-44-4-2-2-2-2-2-2122-2221-1-1-22-222-211-1-1200-11-1123−23−23230000−3−33333−3−3000000000000000000000000000000
χ644444-4-44-2-2-44-4-2-2-2-2-2-2122-2221-1-1-22-222-211-1-1200-11-11−232323−23000033−3−3−3−333000000000000000000000000000000
χ6544-4-44444-2-4-4-44-2-4-422-24-2-24-2-2-2-24-4-42222222-400-2-2220000000000000000000000000000000000000000000000
χ6644-4-4444-24-4-4-4-2422-4-4-2-244-24-2-2-2-222-4-4-42222200-2-2220000000000000000000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-120011-1-1000000003-33-3-33-33000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-120011-1-100000000-33-333-33-3000000000000000000000000000000
χ6944-4-44-4-4-2444-4-2422-4-4-2-24-42-4-2222-2-2-44422-2-2200-222-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-2-222221-2-22221-1-12-2-22-2-2-1-1112001-1-11000023−2323−23−33−33−33−33000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-222221-2-22221-1-12-2-22-2-2-1-1112001-1-110000−2323−23233−33−33−33−3000000000000000000000000000000
χ7244-4-4-44-44-2-4444-2-4-422-2-4224-2-2-2-2-4-44-22-2222240022-2-20000000000000000000000000000000000000000000000
χ7344-4-4-44-4-24-444-2422-4-4-22-4-4-24-2-2-222-24-442222-20022-2-20000000000000000000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-222221222-2-211122-2-22-2-1-1-1-1-200-1-111000000003-3-33-333-3000000000000000000000000000000
χ7544-4-4-44-4-2-2-444-2-222221222-2-211122-2-22-2-1-1-1-1-200-1-11100000000-333-33-3-33000000000000000000000000000000
χ7644-4-4-4-44-244-44-2422-4-4-22-442-4-222-2-2244-422-2-2-2002-2-220000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-22222122-2221-1-1-2-22-2-22-1-111-200-111-1000023−23−2323−333−3−333−3000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-22222122-2221-1-1-2-22-2-22-1-111-200-111-10000−232323−233−3−333−3−33000000000000000000000000000000
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−8i0008-4000-848i−8i−4i4i-400000400000000−4i4i0000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-400000400000000−4i4i0000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i200000-26-60000002i−2i6i−6i00000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i200000-2-660000002i−2i−6i6i00000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-4000004000000004i−4i0000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-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).