Finite Group Databasebeta

← Group #11878677

Character table — Group #11878677

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444888888888888888888888888121212121212121218181818181824242424242424242424242436484848487272
order1222334444666666346661212121212121212121212122466666666121212121212121212121212121288888888224444222224242424242424244666624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1
χ9111111-1-1111111111-111111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-111-1-111-1-111-11-1-11
χ10111111-1-1111111111-111111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111-1-1111-1-1-1-111-11-1-111-1
χ11111111-1-1111111111-111111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-1-1-111-11-1
χ12111111-1-1111111111-111111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-1111-11-11-11
χ13111111-1-1111111111-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-111-1-1-1-1-11-1111-1-111-1-11-11-111-1
χ14111111-1-1111111111-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-11111-111-111-1-1-1-111-1-111-1-11
χ15111111-1-1111111111-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-111111-1-11-1-11111-1-1-11-1-11-11
χ16111111-1-1111111111-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-11-11-1-1-111-1-11111-11-11-1
χ1722222222-2-22222222-2222-2-222222222-2-20000000000-2-20000-2-2-2-200000000000022-2-222000000000000-2000000
χ1822222222-2-22222222-2222-2-222222222-2-20000000000-2-20000-2-2-2-2000000000000-2-222-2-20000000000002000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000220000-2-2220000000000002222-2-2000000000000-2000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000220000-2-222000000000000-2-2-2-2220000000000002000000
χ2122222-1222222-1-12-1-12-1-1-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-10000222200000000220000-1-1-1-1000-1-100
χ2222222-1222222-1-12-1-12-1-1-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2000011110001100
χ2322222-1222222-1-12-1-12-1-1-12-122-1-1-1-1-1-12-1-2-2-2-21111112-1-2-211-1-1-1-111110000222200000000-2-20000-1-1-1-10001100
χ2422222-1222222-1-12-1-12-1-1-12-122-1-1-1-1-1-12-1-2-2-2-21111112-1-2-211-1-1-1-111110000-2-2-2-2000000002200001111000-1-100
χ2522222-1-2-22222-1-12-1-1-2-1-1-12-1-2-21111112-12-222-1-1-1-1-1-1-21-2-211-1-1111111000022-2-2000000002-20000-1-111000-1100
χ2622222-1-2-22222-1-12-1-1-2-1-1-12-1-2-21111112-12-222-1-1-1-1-1-1-21-2-211-1-11111110000-2-22200000000-22000011-1-10001-100
χ2722222-1-2-22222-1-12-1-1-2-1-1-12-1-2-21111112-1-22-2-2111111-2122-1-1-1-111-1-1-1-1000022-2-200000000-220000-1-1110001-100
χ2822222-1-2-22222-1-12-1-1-2-1-1-12-1-2-21111112-1-22-2-2111111-2122-1-1-1-111-1-1-1-10000-2-222000000002-2000011-1-1000-1100
χ292222-122222-1-122-12-12-1-1-1-12-1-122-1-1-1-1-1222-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1222200000000002200-1-1-1-100000-1-10000
χ302222-122222-1-122-12-12-1-1-1-12-1-122-1-1-1-1-1222-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200111100000110000
χ312222-122222-1-122-12-12-1-1-1-12-1-122-1-1-1-1-12-2-211-2-21111-1211-2-2-1-1-1-1111122220000000000-2-200-1-1-1-100000110000
χ322222-122222-1-122-12-12-1-1-1-12-1-122-1-1-1-1-12-2-211-2-21111-1211-2-2-1-1-1-11111-2-2-2-200000000002200111100000-1-10000
χ332222-12-2-222-1-122-12-1-2-1-1-1-1211-2-21111-122-2-1-122-1-1-1-11-211-2-2-1-111111122-2-200000000002-200-1-11100000-110000
χ342222-12-2-222-1-122-12-1-2-1-1-1-1211-2-21111-122-2-1-122-1-1-1-11-211-2-2-1-1111111-2-2220000000000-220011-1-1000001-10000
χ352222-12-2-222-1-122-12-1-2-1-1-1-1211-2-21111-12-2211-2-211111-2-1-122-1-111-1-1-1-122-2-20000000000-2200-1-111000001-10000
χ362222-12-2-222-1-122-12-1-2-1-1-1-1211-2-21111-12-2211-2-211111-2-1-122-1-111-1-1-1-1-2-22200000000002-20011-1-100000-110000
χ372-2-22222-200-2-2-2-22220-2-22002-22-222-2-2000000000000000000000000002−22−22−22−22-2002-200002−22−22−22−20000000
χ382-2-22222-200-2-2-2-22220-2-22002-22-222-2-2000000000000000000000000002−22−2−22−22-2200-2200002−22−2−22−220000000
χ392-2-22222-200-2-2-2-22220-2-22002-22-222-2-200000000000000000000000000−22−222−22−2-2200-220000−22−222−22−20000000
χ402-2-22222-200-2-2-2-22220-2-22002-22-222-2-200000000000000000000000000−22−22−22−222-2002-20000−22−22−22−220000000
χ412-2-2222-2200-2-2-2-22220-2-2200-22-22-2-222000000000000000000000000002−2−222−2−222-200-2200002−2−222−2−220000000
χ422-2-2222-2200-2-2-2-22220-2-2200-22-22-2-222000000000000000000000000002−2−22−222−2-22002-200002−2−22−222−20000000
χ432-2-2222-2200-2-2-2-22220-2-2200-22-22-2-22200000000000000000000000000−222−22−2−22-22002-20000−222−22−2−220000000
χ442-2-2222-2200-2-2-2-22220-2-2200-22-22-2-22200000000000000000000000000−222−2−222−22-200-220000−222−2−222−20000000
χ4544444-244-4-444-2-24-2-2-4-2-2-2-4244-2-2-2-2-2-2-420000000000-42000022220000000000000000000000000000000000000
χ4644444-2-4-4-4-444-2-24-2-24-2-2-2-42-4-4222222-4200000000004-2000022-2-20000000000000000000000000000000000000
χ474444-2444-4-4-2-244-24-2-4-2-2-22-4-2-244-2-2-2-22-400000000002-4000022220000000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-24-24-2-2-22-422-4-422222-40000000000-24000022-2-20000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-244-2-2-2-21111-2-2-2-2-2-211111111000000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-42222-1-1-1-1-2-222221111-1-1-1-1000000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-211112200000033-3-3220000-1-1-1-133-3-3000000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-2111122000000-3-333220000-1-1-1-1-3-333000000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-4111-2-22222-1-1-1-1-2-24-4-2-2-2-2111122222211-1-1-1-1-1-1000000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4111-2-22222-1-1-1-1-2-2-442222-1-1-1-122-2-2-2-211-1-11111000000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200000033-3-3-2-20000-1-111-3-333000000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-122000000-3-333-2-20000-1-11133-3-3000000000000000000000000000000000
χ5744-4-44400004-44-4-4-4404-4-400000000000000000000000000000000000000000000004-4000000000000000000000
χ5844-4-44400004-44-4-4-4404-4-40000000000000000000000000000000000000000000000-44000000000000000000000
χ594-44-444004-4-44-44-4-440-44-44-400000000-4400000000000000004-4000000000000000000000000000000000000000
χ604-44-44400-44-44-44-4-440-44-4-44000000004-40000000000000000-44000000000000000000000000000000000000000
χ614-44-44-2004-4-442-2-42-202-224200000000-4-20000−2i32i3−2i32i3−2i32i3000000-22000000000000000000000000000000000000000
χ624-44-44-2004-4-442-2-42-202-224200000000-4-200002i3−2i32i3−2i32i3−2i3000000-22000000000000000000000000000000000000000
χ634-44-44-200-44-442-2-42-202-22-4-200000000420000000000000023−232-20023−2323−23000000000000000000000000000000000
χ644-44-44-200-44-442-2-42-202-22-4-2000000004200000000000000−23232-200−2323−2323000000000000000000000000000000000
χ654-44-4-24004-42-2-442-4-202-22-2-4000000002400000000000023−2300-220023−23−2323000000000000000000000000000000000
χ664-44-4-24004-42-2-442-4-202-22-2-40000000024000000000000−232300-2200−232323−23000000000000000000000000000000000
χ674-44-4-2400-442-2-442-4-202-222400000000-2-400−2i32i300−2i32i32i3−2i30000002-2000000000000000000000000000000000000000
χ684-44-4-2400-442-2-442-4-202-222400000000-2-4002i3−2i3002i3−2i3−2i32i30000002-2000000000000000000000000000000000000000
χ694-44-4-2-2004-42-22-22210-11-1-2200003i−3i3i−3i2-20000−2i32i3i3−i3i3−i30023−23001-13i−3i−333−3000000000000000000000000000000000
χ704-44-4-2-2004-42-22-22210-11-1-2200003i−3i3i−3i2-200002i3−2i3−i3i3−i3i300−2323001-13i−3i3−3−33000000000000000000000000000000000
χ714-44-4-2-2004-42-22-22210-11-1-220000−3i3i−3i3i2-20000−2i32i3i3−i3i3−i300−2323001-1−3i3i3−3−33000000000000000000000000000000000
χ724-44-4-2-2004-42-22-22210-11-1-220000−3i3i−3i3i2-200002i3−2i3−i3i3−i3i30023−23001-1−3i3i−333−3000000000000000000000000000000000
χ734-44-4-2-200-442-22-22210-11-12-200003i−3i3i−3i-2200−2i32i300i3−i3−i3i3000023−23-11−3i3i−33−33000000000000000000000000000000000
χ744-44-4-2-200-442-22-22210-11-12-200003i−3i3i−3i-22002i3−2i300−i3i3i3−i30000−2323-11−3i3i3−33−3000000000000000000000000000000000
χ754-44-4-2-200-442-22-22210-11-12-20000−3i3i−3i3i-2200−2i32i300i3−i3−i3i30000−2323-113i−3i3−33−3000000000000000000000000000000000
χ764-44-4-2-200-442-22-22210-11-12-20000−3i3i−3i3i-22002i3−2i300−i3i3i3−i3000023−23-113i−3i−33−33000000000000000000000000000000000
χ774-4-444-24-400-4-4224-2-2022-2004-4-22-2-22200000000000000000000000000000022−2222−2200000000000000−22−220000000
χ784-4-444-24-400-4-4224-2-2022-2004-4-22-2-222000000000000000000000000000000−2222−2222000000000000002−22−20000000
χ794-4-444-2-4400-4-4224-2-2022-200-442-222-2-200000000000000000000000000000022−22−222200000000000000−222−20000000
χ804-4-444-2-4400-4-4224-2-2022-200-442-222-2-2000000000000000000000000000000−222222−22000000000000002−2−220000000
χ814-4-44-244-40022-4-4-24-2022-200-224-4-2-2220000000000000000000000000022−2222−2200000000000000−22−2200000000000
χ824-4-44-244-40022-4-4-24-2022-200-224-4-2-22200000000000000000000000000−2222−2222000000000000002−22−200000000000
χ834-4-44-24-440022-4-4-24-2022-2002-2-4422-2-20000000000000000000000000022−22−222200000000000000−222−200000000000
χ844-4-44-24-440022-4-4-24-2022-2002-2-4422-2-200000000000000000000000000−222222−22000000000000002−2−2200000000000
χ8588-8-88-400008-8-44-84-40-444000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000-448-84-8-40-444000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40000-44-4444202-2-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-44-4444202-2-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-48-8004444-4-420-2-2200-44-4422-2-200000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4-88004444-4-420-2-22004-44-4-2-22200000000000000000000000000000000000000000000000000000000000

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