Finite Group Databasebeta

← Group #11793105

Character table — Group #11793105

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1244222334446612121212366666666612121212121212121212246666666666121212121212121212124444448812121212121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ922222222-12222-122-1-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ1022222222-12222-122-1-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ1122222222-12222-122-1-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111000022-2-200000000-1-1-1-11111000000
χ1222222222-12222-122-1-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000-2-222000000001111-1-1-1-1000000
χ132222222-12222-12-1-122-1-122-1-1-1-1-12-1-1-1222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ142222222-12222-12-1-122-1-122-1-1-1-1-12-1-1-1222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ152222222-12222-12-1-122-1-122-1-1-1-1-12-1-1-1222-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111122-2-20000-1-1-1-1111100000000000000
χ162222222-12222-12-1-122-1-122-1-1-1-1-12-1-1-1222-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111-2-22200001111-1-1-1-100000000000000
χ1722222-2-222-2-22222222222-2222-2-2-22-2-22-2-22222000000-2-200000000-2-200002i−2i0000002i2i−2i−2i000000000000000000
χ1822222-2-222-2-22222222222-2222-2-2-22-2-22-2-22222000000-2-200000000-2-20000−2i2i000000−2i−2i2i2i000000000000000000
χ1922222-2-2-12-2-22-12-1-122-1-12-2-1-1-111-2-1112-2-2-1-1-1-100−i3i30011−i3−i3i3i3−i3i30011−i3−i3i3i32i−2i000000−i−iii33−3−300000000000000
χ2022222-2-2-12-2-22-12-1-122-1-12-2-1-1-111-2-1112-2-2-1-1-1-100−i3i30011−i3−i3i3i3−i3i30011−i3−i3i3i3−2i2i000000ii−i−i−3−33300000000000000
χ2122222-2-2-12-2-22-12-1-122-1-12-2-1-1-111-2-1112-2-2-1-1-1-100i3−i30011i3i3−i3−i3i3−i30011i3i3−i3−i32i−2i000000−i−iii−3−33300000000000000
χ2222222-2-2-12-2-22-12-1-122-1-12-2-1-1-111-2-1112-2-2-1-1-1-100i3−i30011i3i3−i3−i3i3−i30011i3i3−i3−i3−2i2i000000ii−i−i33−3−300000000000000
χ232222-22-2222-2-22222222-2-22-2-222-2-2-22-2-22-222-2-20000002-2000000002-2000000000000000000000000000000002i−2i
χ242222-22-2222-2-22222222-2-22-2-222-2-2-22-2-22-222-2-20000002-2000000002-200000000000000000000000000000000−2i2i
χ252222-2-2222-22-22222222-2-2-2-2-22-222-2-22-2-2222-2-2000000-2200000000-22000000002-2000000000022-2-20000000000
χ262222-2-2222-22-22222222-2-2-2-2-22-222-2-22-2-2222-2-2000000-2200000000-2200000000-220000000000-2-2220000000000
χ272222-2-222-1-22-22-122-1-1-1-21111-1-22-1-2-2211-1-1-1110000−i3i31-1−i3i3−i3i300−i3i31-1−i3i3−i3i300002-20000000000-1-111−i3−i3i3i3000000
χ282222-2-222-1-22-22-122-1-1-1-21111-1-22-1-2-2211-1-1-1110000−i3i31-1−i3i3−i3i300−i3i31-1−i3i3−i3i30000-22000000000011-1-1i3i3−i3−i3000000
χ292222-2-222-1-22-22-122-1-1-1-21111-1-22-1-2-2211-1-1-1110000i3−i31-1i3−i3i3−i300i3−i31-1i3−i3i3−i300002-20000000000-1-111i3i3−i3−i3000000
χ302222-2-222-1-22-22-122-1-1-1-21111-1-22-1-2-2211-1-1-1110000i3−i31-1i3−i3i3−i300i3−i31-1i3−i3i3−i30000-22000000000011-1-1−i3−i3i3i3000000
χ3122-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000002-2000000002-22-200000000000000
χ3222-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000-2200000000-22-2200000000000000
χ3322-2-2222-12-2-2-2-1211-2-2-1-122-1-1-1-1-12111-2-2-2111100−i3i300-1-1−i3−i3i3i3i3−i30011i3i3−i3−i3002-20000−i3i3−i3i3-11-1100000000000000
χ3422-2-2222-12-2-2-2-1211-2-2-1-122-1-1-1-1-12111-2-2-2111100−i3i300-1-1−i3−i3i3i3i3−i30011i3i3−i3−i300-220000i3−i3i3−i31-11-100000000000000
χ3522-2-2222-12-2-2-2-1211-2-2-1-122-1-1-1-1-12111-2-2-2111100i3−i300-1-1i3i3−i3−i3−i3i30011−i3−i3i3i3002-20000i3−i3i3−i3-11-1100000000000000
χ3622-2-2222-12-2-2-2-1211-2-2-1-122-1-1-1-1-12111-2-2-2111100i3−i300-1-1i3i3−i3−i3−i3i30011−i3−i3i3i300-220000−i3i3−i3i31-11-100000000000000
χ3722-2-22-2-22222-222-2-2-2-2222-2222-2-2-2-222-222-2-2-2-22-22222-2-22222-2-2-2-222-2-2-2-2000000000000000000000000000000
χ3822-2-22-2-22222-222-2-2-2-2222-2222-2-2-2-222-222-2-2-2-2-22-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000
χ3922-2-22-2-22-122-22-1-2-211-12-11-1-1-1-2-21-2221-1-111112-222-1-111-1-1-1-1-2-211-1-1111100000000000000003−33−33−33−3000000
χ4022-2-22-2-22-122-22-1-2-211-12-11-1-1-1-2-21-2221-1-111112-222-1-111-1-1-1-1-2-211-1-111110000000000000000−33−33−33−33000000
χ4122-2-22-2-22-122-22-1-2-211-12-11-1-1-1-2-21-2221-1-11111-22-2-21111111122-1-1-1-1-1-1-1-100000000000000003−33−3−33−33000000
χ4222-2-22-2-22-122-22-1-2-211-12-11-1-1-1-2-21-2221-1-11111-22-2-21111111122-1-1-1-1-1-1-1-10000000000000000−33−333−33−3000000
χ4322-2-22-2-2-1222-2-1211-2-2-1-12-2-1-1-111-21-1-1-22211112-2-1-12211-1-1-1-111-2-2-1-11111000000003−3−333−3−3300000000000000
χ4422-2-22-2-2-1222-2-1211-2-2-1-12-2-1-1-111-21-1-1-22211112-2-1-12211-1-1-1-111-2-2-1-1111100000000−333−3−333−300000000000000
χ4522-2-22-2-2-1222-2-1211-2-2-1-12-2-1-1-111-21-1-1-2221111-2211-2-2111111-1-122-1-1-1-1-1-1000000003−3−33−333−300000000000000
χ4622-2-22-2-2-1222-2-1211-2-2-1-12-2-1-1-111-21-1-1-2221111-2211-2-2111111-1-122-1-1-1-1-1-100000000−333−33−3−3300000000000000
χ4722-2-2-22-222-22222-2-2-2-22-2-22-2-222-2-22-222-22-2-2220000002-200000000-2200000000002i−2i0000000000002i−2i−2i2i000000
χ4822-2-2-22-222-22222-2-2-2-22-2-22-2-222-2-22-222-22-2-2220000002-200000000-220000000000−2i2i000000000000−2i2i2i−2i000000
χ4922-2-2-22-22-1-2222-1-2-211-1-21-111-12-212-22-11-111-1-10000−i3i3-11−i3i3−i3i300i3−i31-1i3−i3i3−i30000002i−2i000000003−3−33−iii−i000000
χ5022-2-2-22-22-1-2222-1-2-211-1-21-111-12-212-22-11-111-1-10000−i3i3-11−i3i3−i3i300i3−i31-1i3−i3i3−i3000000−2i2i00000000−333−3i−i−ii000000
χ5122-2-2-22-22-1-2222-1-2-211-1-21-111-12-212-22-11-111-1-10000i3−i3-11i3−i3i3−i300−i3i31-1−i3i3−i3i30000002i−2i00000000−333−3−iii−i000000
χ5222-2-2-22-22-1-2222-1-2-211-1-21-111-12-212-22-11-111-1-10000i3−i3-11i3−i3i3−i300−i3i31-1−i3i3−i3i3000000−2i2i000000003−3−33i−i−ii000000
χ5322-2-2-2-22222-2222-2-2-2-22-2-2-2-2-22-22222-222-2-2-222000000-22000000002-2000000000000000000000000000022-2-200
χ5422-2-2-2-22222-2222-2-2-2-22-2-2-2-2-22-22222-222-2-2-222000000-22000000002-20000000000000000000000000000-2-22200
χ554444444-2-2444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-2-2-2111144-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-2-2-21111-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000
χ5744444-4-44-2-4-444-244-2-2-24-22-2-2-2-4-424-4-4-222-2-2-2-20000002200000000220000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-2-2-2-21-2-22111222-222-222111100−2i32i300-1-1i3i3−i3−i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-2-2-2-21-2-22111222-222-2221111002i3−2i300-1-1−i3−i3i3i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000
χ604444-44-44-24-4-44-244-2-2-2-42-222-24-42-44-42-22-2-222000000-2200000000-220000000000000000000000000000000000
χ614444-44-4-244-4-4-24-2-244-22-4422-2-22-42-22-44-4-2-222000000-2200000000-220000000000000000000000000000000000
χ624444-44-4-2-24-4-4-2-2-2-2-2-2122-2-1-11-2222-222-2211-1-10000001-13-3-3300001-13-3-33000000000000000000000000000000
χ634444-44-4-2-24-4-4-2-2-2-2-2-2122-2-1-11-2222-222-2211-1-10000001-1-333-300001-1-333-3000000000000000000000000000000
χ644444-4-44-24-44-4-24-2-244-22-4-422-22-2422-2-4-44-2-2220000002-2000000002-20000000000000000000000000000000000
χ654444-4-44-2-2-44-4-2-2-2-2-2-21222-1-112-2-222-222-211-1-10000−2i32i3-11i3−i3i3−i300−2i32i3-11i3−i3i3−i3000000000000000000000000000000
χ664444-4-44-2-2-44-4-2-2-2-2-2-21222-1-112-2-222-222-211-1-100002i3−2i3-11−i3i3−i3i3002i3−2i3-11−i3i3−i3i3000000000000000000000000000000
χ6744-4-44444-2-4-4-44-2-4-422-24-2-2-2-2-244-2-4-4-42222222000000-2-200000000220000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-222221-2-2-2111-2-2-2222222-1-1-1-100−2i32i30011i3i3−i3−i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-222221-2-2-2111-2-2-2222222-1-1-1-1002i3−2i30011−i3−i3i3i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-2-222221-2-221112222-2-22-2-2-1-1-1-14-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-222221-2-221112222-2-22-2-2-1-1-1-1-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ7244-4-4-44-4-24-444-2422-4-4-22-4422-2-22-4-22-24-4422-2-2000000-22000000002-20000000000000000000000000000000000
χ7344-4-4-44-4-2-2-444-2-22222122-2-1-11-222-22-2-22-2-1-1110000−2i32i31-1i3−i3i3−i3002i3−2i3-11−i3i3−i3i3000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-22222122-2-1-11-222-22-2-22-2-1-11100002i3−2i31-1−i3i3−i3i300−2i32i3-11i3−i3i3−i3000000000000000000000000000000
χ7544-4-4-4-444-24-444-2-4-422-2-42222-2-44-244-4-2-2222-2-20000002-200000000-220000000000000000000000000000000000
χ7644-4-4-4-44-244-44-2422-4-4-22-4-422-22-24-2-2244-422-2-20000002-200000000-220000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-222221222-1-112-2-2-2-22-2-22-1-111000000-113-3-3300001-1-333-3000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-222221222-1-112-2-2-2-22-2-22-1-111000000-11-333-300001-13-3-33000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i400000-40000000004i−4i0000000000000000000000000000000000000000000000002-22i−2i00
χ804-44i−4i00044000-4-44i−4i4i−4i400000-40000000004i−4i000000000000000000000000000000000000000000000000-22−2i2i00
χ814-4−4i4i00044000-4-4−4i4i−4i4i400000-4000000000−4i4i0000000000000000000000000000000000000000000000002-2−2i2i00
χ824-4−4i4i00044000-4-4−4i4i−4i4i400000-4000000000−4i4i000000000000000000000000000000000000000000000000-222i−2i00
χ838-88i−8i0008-4000-848i−8i−4i4i-4000004000000000−4i4i000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-4000004000000000−4i4i000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i20006-6-20000000002i−2i6i−6i0000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i2000-66-20000000002i−2i−6i6i0000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-40000040000000004i−4i000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-40000040000000004i−4i000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i20006-6-2000000000−2i2i−6i6i0000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i2000-66-2000000000−2i2i6i−6i0000000000000000000000000000000000000000000000000000

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