Finite Group Databasebeta

← Group #11792408

Character table — Group #11792408

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12442223344466121212123666666666121212121212121212122466666666661212121212121212121224446688881212121212122424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1
χ922222222-12222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200-1-10022-1-100000000-1-1-1-1000000
χ1022222222-12222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2001100-2-211000000001111000000
χ1122222222-12222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111112200-1-100-2-2-1-1000000001111000000
χ1222222222-12222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111-2-2001100221100000000-1-1-1-1000000
χ132222222-12222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002200220000-1-1-1-1-1-1-1-10000000000
χ142222222-12222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20000111111110000000000
χ152222222-12222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111002200-2-20000-1-1-1-111110000000000
χ162222222-12222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111100-2-2002200001111-1-1-1-10000000000
χ1722222-2-222-2-2222222222-22-2-2-2-22-22-2-2-2-222-2-220000002-2000000002-20000000000002-2000000000022-2-2000000
χ1822222-2-222-2-2222222222-22-2-2-2-22-22-2-2-2-222-2-220000002-2000000002-2000000000000-220000000000-2-222000000
χ1922222-2-22-1-2-222-1-1-122-12-2-11111-1-22-2-211-1-111-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i30000−i3i3002-2−i3i300000000-1-111000000
χ2022222-2-22-1-2-222-1-1-122-12-2-11111-1-22-2-211-1-111-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i30000i3−i300-22i3−i30000000011-1-1000000
χ2122222-2-22-1-2-222-1-1-122-12-2-11111-1-22-2-211-1-111-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i30000−i3i300-22−i3i30000000011-1-1000000
χ2222222-2-22-1-2-222-1-1-122-12-2-11111-1-22-2-211-1-111-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i30000i3−i3002-2i3−i300000000-1-111000000
χ232222-22-2222-2-22222222-2-2-22-2-2-222-22-22-222-2-2-2000000-2200000000-220000002-20000000022-2-200000000000000
χ242222-22-2222-2-22222222-2-2-22-2-2-222-22-22-222-2-2-2000000-2200000000-22000000-2200000000-2-22200000000000000
χ252222-22-2-122-2-2-1222-1-1-111-22-211-1-11-112-2-1-111-200−i3i3001-1−i3i3−i3i3−i3i3001-1−i3i3−i3i3002-200000000-1-111−i3−i3i3i30000000000
χ262222-22-2-122-2-2-1222-1-1-111-22-211-1-11-112-2-1-111-200−i3i3001-1−i3i3−i3i3−i3i3001-1−i3i3−i3i300-220000000011-1-1i3i3−i3−i30000000000
χ272222-22-2-122-2-2-1222-1-1-111-22-211-1-11-112-2-1-111-200i3−i3001-1i3−i3i3−i3i3−i3001-1i3−i3i3−i3002-200000000-1-111i3i3−i3−i30000000000
χ282222-22-2-122-2-2-1222-1-1-111-22-211-1-11-112-2-1-111-200i3−i3001-1i3−i3i3−i3i3−i3001-1i3−i3i3−i300-220000000011-1-1−i3−i3i3i30000000000
χ292222-2-2222-22-22222222-22-2-22222-2-2-22-222222-2000000-2-200000000-2-2000000000000000000000000000000002-2
χ302222-2-2222-22-22222222-22-2-22222-2-2-22-222222-2000000-2-200000000-2-200000000000000000000000000000000-22
χ3122-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000022-2-200
χ3222-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000000000000000000000000000-2-22200
χ3322-2-22-2-22222-222-2-2-2-222-22-2-2-2-22-2-22222-2-222-20000002-200000000-2200000000002i−2i000000002i−2i2i−2i0000000000
χ3422-2-22-2-22222-222-2-2-2-222-22-2-2-2-22-2-22222-2-222-20000002-200000000-220000000000−2i2i00000000−2i2i−2i2i0000000000
χ3522-2-22-2-2-1222-2-12-2-211-1-112-2-211-111-1-12211-1-1-200−i3i300-11−i3i3−i3i3i3−i3001-1i3−i3i3−i30000002i−2i00003−33−3−ii−ii0000000000
χ3622-2-22-2-2-1222-2-12-2-211-1-112-2-211-111-1-12211-1-1-200−i3i300-11−i3i3−i3i3i3−i3001-1i3−i3i3−i3000000−2i2i0000−33−33i−ii−i0000000000
χ3722-2-22-2-2-1222-2-12-2-211-1-112-2-211-111-1-12211-1-1-200i3−i300-11i3−i3i3−i3−i3i3001-1−i3i3−i3i30000002i−2i0000−33−33−ii−ii0000000000
χ3822-2-22-2-2-1222-2-12-2-211-1-112-2-211-111-1-12211-1-1-200i3−i300-11i3−i3i3−i3−i3i3001-1−i3i3−i3i3000000−2i2i00003−33−3i−ii−i0000000000
χ3922-2-2-22-222-22222-2-2-2-22-2-2-22-2-2-2222-22-22-2-2222000000-22000000002-200002-200220000-2-2000000000000000000
χ4022-2-2-22-222-22222-2-2-2-22-2-2-22-2-2-2222-22-22-2-2222000000-22000000002-20000-2200-2-2000022000000000000000000
χ4122-2-2-22-22-1-2222-111-2-2-1-2-21-1111-122-221-111-1-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i32-200-1-100001100000000−i3i3−i3i3000000
χ4222-2-2-22-22-1-2222-111-2-2-1-2-21-1111-122-221-111-1-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i3-2200110000-1-100000000i3−i3i3−i3000000
χ4322-2-2-22-22-1-2222-111-2-2-1-2-21-1111-122-221-111-1-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i32-200-1-100001100000000i3−i3i3−i3000000
χ4422-2-2-22-22-1-2222-111-2-2-1-2-21-1111-122-221-111-1-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i3-2200110000-1-100000000−i3i3−i3i3000000
χ4522-2-2-2-22222-2222-2-2-2-22-22-2-22222-222-22-2-2-2-2-222-22222-2-22222-2-2-2-222-2-2-2-2000000000000000000000000000000
χ4622-2-2-2-22222-2222-2-2-2-22-22-2-22222-222-22-2-2-2-2-22-22-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000
χ4722-2-2-2-222-12-222-111-2-2-1-2211-1-1-1-1-222-2-111111-12-222-1-111-1-1-1-1-2-211-1-111110000−i3i30000i3−i300000000−i3i3i3−i3000000
χ4822-2-2-2-222-12-222-111-2-2-1-2211-1-1-1-1-222-2-111111-12-222-1-111-1-1-1-1-2-211-1-111110000i3−i30000−i3i300000000i3−i3−i3i3000000
χ4922-2-2-2-222-12-222-111-2-2-1-2211-1-1-1-1-222-2-111111-1-22-2-21111111122-1-1-1-1-1-1-1-10000−i3i30000i3−i300000000i3−i3−i3i3000000
χ5022-2-2-2-222-12-222-111-2-2-1-2211-1-1-1-1-222-2-111111-1-22-2-21111111122-1-1-1-1-1-1-1-10000i3−i30000−i3i300000000−i3i3i3−i3000000
χ5122-2-2-2-22-122-22-12-2-211-11-1-2-22-1-1-11-1-112-2111122-2-1-12211-1-1-1-111-2-2-1-111110000000000003−3−333−3−330000000000
χ5222-2-2-2-22-122-22-12-2-211-11-1-2-22-1-1-11-1-112-2111122-2-1-12211-1-1-1-111-2-2-1-11111000000000000−333−3−333−30000000000
χ5322-2-2-2-22-122-22-12-2-211-11-1-2-22-1-1-11-1-112-211112-2211-2-2111111-1-122-1-1-1-1-1-10000000000003−3−33−333−30000000000
χ5422-2-2-2-22-122-22-12-2-211-11-1-2-22-1-1-11-1-112-211112-2211-2-2111111-1-122-1-1-1-1-1-1000000000000−333−33−3−330000000000
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000
χ5744444-4-4-24-4-44-2444-2-2-2-224-4-422-22-222-4-4-2-2224000000-2200000000-220000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-2-2-2-21-22-222-1-112-2222211-1-1-20000−2i32i31-1i3i3−i3−i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-2-2-2-21-22-222-1-112-2222211-1-1-200002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000
χ604444-44-44-24-4-44-2-2-244-2-4-42-2222-24-44-4-22-2-22220000002-2000000002-20000000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-21222-22-1-11-22-22-2211-1-1200−2i32i300-11i3−i3i3−i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000
χ624444-44-4-2-24-4-4-2-2-2-2-2-21222-22-1-11-22-22-2211-1-12002i3−2i300-11−i3i3−i3i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000
χ634444-4-444-2-44-44-2-2-244-2-4422-2-2-2-2-4-4-442-2-2-2-2-220000002200000000220000000000000000000000000000000000
χ644444-4-44-24-44-4-2444-2-2-22-2-4-44-2-2-2222-2-44-2-2-2-2-40000002200000000220000000000000000000000000000000000
χ654444-4-44-2-2-44-4-2-2-2-2-2-212-222-2111222-22-211112000000-1-13-3-330000-1-13-3-33000000000000000000000000000000
χ664444-4-44-2-2-44-4-2-2-2-2-2-212-222-2111222-22-211112000000-1-1-333-30000-1-1-333-3000000000000000000000000000000
χ6744-4-44444-2-4-4-44-222-4-4-244-2-2-2-2-2-24-4-4-42222222000000-2-200000000220000000000000000000000000000000000
χ6844-4-4444-24-4-4-4-24-4-422-2-2-2444-2-2-2-2222-4-42222-4000000-2-200000000220000000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-12000000113-3-330000-1-1-333-3000000000000000000000000000000
χ7044-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-1200000011-333-30000-1-13-3-33000000000000000000000000000000
χ7144-4-44-4-44-244-44-222-4-4-24-4-22222-2-4-444-2-222-2-22000000-22000000002-20000000000000000000000000000000000
χ7244-4-44-4-4-2-244-4-2-222221-22-222-1-1122-2-2-2-2-1-111200−2i32i3001-1i3−i3i3−i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000
χ7344-4-44-4-4-2-244-4-2-222221-22-222-1-1122-2-2-2-2-1-1112002i3−2i3001-1−i3i3−i3i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000
χ7444-4-4-44-4-24-444-24-4-422-222-44-422-2-2-22-2-4422-2-240000002-200000000-220000000000000000000000000000000000
χ7544-4-4-44-4-2-2-444-2-222221222-22-1-11-2-22-22-2-1-111-20000−2i32i3-11i3i3−i3−i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000
χ7644-4-4-44-4-2-2-444-2-222221222-22-1-11-2-22-22-2-1-111-200002i3−2i3-11−i3−i3i3i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-2222212-222-21112-2-22-22-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-2222212-222-21112-2-22-22-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i40000000-40000004i−4i00000000000000000000000000000000000000000000000002-22i−2i00
χ804-44i−4i00044000-4-44i−4i4i−4i40000000-40000004i−4i0000000000000000000000000000000000000000000000000-22−2i2i00
χ814-4−4i4i00044000-4-4−4i4i−4i4i40000000-4000000−4i4i00000000000000000000000000000000000000000000000002-2−2i2i00
χ824-4−4i4i00044000-4-4−4i4i−4i4i40000000-4000000−4i4i0000000000000000000000000000000000000000000000000-222i−2i00
χ838-88i−8i0008-4000-84−4i4i8i−8i-400000004000000−4i4i0000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-88i−8i−4i4i-400000004000000−4i4i0000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i2000006-6-20000002i−2i6i−6i00000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i200000-66-20000002i−2i−6i6i00000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-844i−4i−8i8i-4000000040000004i−4i0000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-8−8i8i4i−4i-4000000040000004i−4i0000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i2000006-6-2000000−2i2i−6i6i00000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i200000-66-2000000−2i2i6i−6i00000000000000000000000000000000000000000000000000000

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