Finite Group Databasebeta

← Group #11889472

Character table — Group #11889472

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order12223344666666366688121212122424242422441212121212122424242424244444444668812121212121224242424121212121212448121212122424241212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11
χ4111111111111111111111111111111-1-1-1-1-1-111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ51111111111111111111111111111-1-1111111111111111111-111-1-1-1-11111-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-111-1-111111-1-1111111-1-1-1-11-111-1-1-11-111-1-1-1-111-11-11-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-111-1-11111-1-1-111-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-111111-1-111-1-1111111-1-1-1-1-11-1-1111-1-1-1-111-1-1111-11-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-11-1-1111-1111-1-111-1-11-1-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-111-1-1111111-1-111111-111-1-11-1-111-1-1-1-1-1-11-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111111-111-1-11-11-1-11111111-1-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1111111-1-11111-11-1-111-11-1-1-111-1-1-1-1-11-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-1-111-11111-1-11111-111-1-1
χ17222222-2-2222222222200-2-2-2-2000022000000-2-20000002-200-200220022-2-2-2-20000000000000000000-2200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-2000000-2200-2002200-2-222-2-200000000000000000002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-20000002-200200-2-20022-2-22200000000000000000002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000-2200200-2-200-2-222220000000000000000000-2200000
χ2122222-122-12-122-1-1-1-1-122-122-1-1-1-1-122222222-1-122-1-1-1-10000200-1-1220000-1-1-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ2222222-122-12-122-1-1-1-1-122-122-1-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-10000200-1-1220000-1-1-1-1-1-1111111-2-200000000011000
χ2322222-122-12-122-1-1-1-1-122-122-1-1-1-1-1-2-2222222-1-122-1-1-1-10000-20011-2-20000111111-1-1-1-1-1-1-2-200000000011000
χ2422222-122-12-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-10000-20011-2-2000011111111111122000000000-1-1000
χ2522222-122-12-122-1-1-1-1-1-2-2-122-11111222-222-2-2-1-1-2-211110000200-1-1-2-20000-1-11111-11-1-111-220000000001-1000
χ2622222-122-12-122-1-1-1-1-1-2-2-122-1111122-22-2-222-1-1-2-211110000200-1-1-2-20000-1-111111-111-1-12-2000000000-11000
χ2722222-122-12-122-1-1-1-1-1-2-2-122-11111-2-22-222-2-2-1-1-2-211110000-2001122000011-1-1-1-1-11-1-1112-2000000000-11000
χ2822222-122-12-122-1-1-1-1-1-2-2-122-11111-2-2-22-2-222-1-1-2-211110000-2001122000011-1-1-1-11-111-1-1-220000000001-1000
χ292222-12222-12-1-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-1-122220220000-1-1-1-100000022-1-1-1-1002-1-1-1-1-1-10000000
χ302222-12222-12-1-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20-2-20000111100000022-1-1-1-100-21111110000000
χ312222-12222-12-1-12-1-1-1-1222-1-12222200-2-21111-1-1-1-1-1-1-1-122-2-20-2-20000-1-1-1-1000000-2-211110021111-1-10000000
χ322222-12222-12-1-12-1-1-1-1222-1-12222200-2-21111-1-1-1-1-1-1-1-1-2-22202200001111000000-2-2111100-2-1-1-1-1110000000
χ332222-12222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111-1-111111122-2-20220000-1-1-1-10000002-2-1-11100-2-1-111110000000
χ342222-12222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111-1-1111111-2-2220-2-2000011110000002-2-1-11100211-1-1-1-10000000
χ352222-12222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1-1-111111122220-2-20000-1-1-1-1000000-2211-1-100-211-1-1110000000
χ362222-12222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1-1-1111111-2-2-2-202200001111000000-2211-1-1002-1-111-1-10000000
χ372-2-22222-2-2-2-22-222-2-222i−2i2-22-22i2i−2i−2i000000002-22i−2i2i2i−2i−2i002i−2i02-2000000000000000000000002-22i−2i000000000
χ382-2-22222-2-2-2-22-222-2-222i−2i2-22-22i2i−2i−2i000000002-22i−2i2i2i−2i−2i00−2i2i0-2200000000000000000000000-22−2i2i000000000
χ392-2-22222-2-2-2-22-222-2-22−2i2i2-22-2−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i002i−2i0-2200000000000000000000000-222i−2i000000000
χ402-2-22222-2-2-2-22-222-2-22−2i2i2-22-2−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i00−2i2i02-2000000000000000000000002-2−2i2i000000000
χ412-2-22-122-2-21-2-112-111-12i−2i21-1-22i2i−2i−2i00003−3−i3i3-11−ii−i−iii002i−2i02-200003−33−3000000003−3−i3i3000-11−ii−i3i30000000
χ422-2-22-122-2-21-2-112-111-12i−2i21-1-22i2i−2i−2i00003−3−i3i3-11−ii−i−iii00−2i2i0-220000−33−33000000003−3−i3i30001-1i−ii3−i30000000
χ432-2-22-122-2-21-2-112-111-12i−2i21-1-22i2i−2i−2i0000−33i3−i3-11−ii−i−iii002i−2i02-20000−33−3300000000−33i3−i3000-11−iii3−i30000000
χ442-2-22-122-2-21-2-112-111-12i−2i21-1-22i2i−2i−2i0000−33i3−i3-11−ii−i−iii00−2i2i0-2200003−33−300000000−33i3−i30001-1i−i−i3i30000000
χ452-2-22-122-2-21-2-112-111-1−2i2i21-1-2−2i−2i2i2i00003−3i3−i3-11i−iii−i−i002i−2i0-220000−33−33000000003−3i3−i30001-1−ii−i3i30000000
χ462-2-22-122-2-21-2-112-111-1−2i2i21-1-2−2i−2i2i2i00003−3i3−i3-11i−iii−i−i00−2i2i02-200003−33−3000000003−3i3−i3000-11i−ii3−i30000000
χ472-2-22-122-2-21-2-112-111-1−2i2i21-1-2−2i−2i2i2i0000−33−i3i3-11i−iii−i−i002i−2i0-2200003−33−300000000−33−i3i30001-1−iii3−i30000000
χ482-2-22-122-2-21-2-112-111-1−2i2i21-1-2−2i−2i2i2i0000−33−i3i3-11i−iii−i−i00−2i2i02-20000−33−3300000000−33−i3i3000-11i−i−i3i30000000
χ4944444-2-4-4-24-244-2-2-2-2-2002-4-42000044000000220000000000-400-2-20000002200000000000000000000000000
χ5044444-2-4-4-24-244-2-2-2-2-2002-4-420000-4-400000022000000000040022000000-2-200000000000000000000000000
χ514444-24-4-44-24-2-24-2-2-2-200-422-4000000000000220000004-4000000000-2-2220000000000000000000000000000
χ524444-24-4-44-24-2-24-2-2-2-200-422-400000000000022000000-4400000000022-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-2-2-211-2-21111000000000000000000000-2-211110000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-4222211-2-2111100000000000000000000022-1-1-1-10000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-1000000000000000000000-2211-1-10000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-10000000000000000000002-2-1-1110000000000000000
χ5744-4-44400-444-4-4-44-44-40000000000000000000000000000000000022−220000002222−22−220000000000000000000000
χ5844-4-44400-444-4-4-44-44-400000000000000000000000000000000000−2222000000−22−2222220000000000000000000000
χ5944-4-44-20024-2-4-42-22-220000006−66−60000000000006−66−600000000022−22000023−23−2−2220000000000000000000000
χ6044-4-44-20024-2-4-42-22-220000006−66−60000000000006−66−6000000000−22220000−232322−2−20000000000000000000000
χ6144-4-44-20024-2-4-42-22-22000000−66−66000000000000−66−6600000000022−220000−2323−2−2220000000000000000000000
χ6244-4-44-20024-2-4-42-22-22000000−66−66000000000000−66−66000000000−2222000023−2322−2−20000000000000000000000
χ634-44-444004-4-4-44-444-4-400000000004-40000000000000000000004-40000000000000000000000000000000000
χ644-44-444004-4-4-44-444-4-40000000000-44000000000000000000000-440000000000000000000000000000000000
χ654-44-44-200-2-42-442-2-222000000i6−i6−i6i64-40000000000i6−i6−i6i60000000-2200000000i6−i6i6−i60000000000000000000000
χ664-44-44-200-2-42-442-2-222000000i6−i6−i6i6-440000000000i6−i6−i6i600000002-200000000−i6i6−i6i60000000000000000000000
χ674-44-44-200-2-42-442-2-222000000−i6i6i6−i64-40000000000−i6i6i6−i60000000-2200000000−i6i6−i6i60000000000000000000000
χ684-44-44-200-2-42-442-2-222000000−i6i6i6−i6-440000000000−i6i6i6−i600000002-200000000i6−i6i6−i60000000000000000000000
χ694-4-4444-44-4-4-44-444-4-4400-44-44000000000000-440000000000000000000000000000000000000000000000000
χ704-4-444-24-42-424-4-2-222-24i−4i-2-442−2i−2i2i2i00000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000000
χ714-4-444-24-42-424-4-2-222-2−4i4i-2-4422i2i−2i−2i00000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000
χ724-4-444-2-442-424-4-2-222-20024-4-20000000000002-200000000000000000000000−2i32i32i3−2i30000000000000000000000
χ734-4-444-2-442-424-4-2-222-20024-4-20000000000002-2000000000000000000000002i3−2i3−2i32i30000000000000000000000
χ744-4-44-24-44-42-4-224-222-200-4-2240000000000002-20000000000000000023−23−23230000000000000000000000000000
χ754-4-44-24-44-42-4-224-222-200-4-2240000000000002-200000000000000000−232323−230000000000000000000000000000
χ764-4-44-2-24-4222-22-21-1-114i−4i-22-22−2i−2i2i2i000023−23−2i32i31-1−2i2iii−i−i00000000000000000000000−33i3−i30000000000000000
χ774-4-44-2-24-4222-22-21-1-114i−4i-22-22−2i−2i2i2i0000−23232i3−2i31-1−2i2iii−i−i000000000000000000000003−3−i3i30000000000000000
χ784-4-44-2-24-4222-22-21-1-11−4i4i-22-222i2i−2i−2i000023−232i3−2i31-12i−2i−i−iii00000000000000000000000−33−i3i30000000000000000
χ794-4-44-2-24-4222-22-21-1-11−4i4i-22-222i2i−2i−2i0000−2323−2i32i31-12i−2i−i−iii000000000000000000000003−3i3−i30000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-8-4800-8-4844-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-44442-22-200000026−2626−26000000000000−66−660000000000000000000000000000000000000000000
χ8388-8-8-4-4004-4-44442-22-2000000−2626−26260000000000006−66−60000000000000000000000000000000000000000000
χ848-88-8-480084-84-4-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-4444-4422-2-20000002i6−2i6−2i62i6000000000000−i6i6i6−i60000000000000000000000000000000000000000000
χ868-88-8-4-400-4444-4422-2-2000000−2i62i62i6−2i6000000000000i6−i6−i6i60000000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-42-2-22004-44-4000000000000-220000000000000000000000000000000000000000000000000

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