Finite Group Databasebeta

← Group #11883949

Character table — Group #11883949

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order122222334466666634666666612121212246666121212121212121222244444666666121266612121224668812121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-11111111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-11-1-111-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111-1-11111111-1-1-111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1111-1-111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1111-1-111111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ91111-1-111111111111-1-1-1-1-111111111-111-1-1-1-1-1-111-1-1111-1111-1111111-1-1111-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111111-111-1-1-1-1-1-111-1-1111-11-1-1-1111111-1-1111-1-1-1-11-1-11-1-11-1-111-1-111-1-111-11
χ111111-1-111111111111-1-1-1-1-111111111-111-1-1-1-1-1-111-1-1-1-1-11-1111-1-1-1-1-1-111111-1-1-11-111-111-111-1-111-1-1-1-111-11
χ121111-1-111111111111-1-1-1-1-111111111-111-1-1-1-1-1-111-1-1-1-1-11-1-1-11-1-1-1-1-1-111111-1-1-111111-11-1-1-111-1-11111-1-11-1
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-111-111-1-111-11-11111111-1-111-1-1-1111-1-1-1-11-11-111-1-1-1-11111-1-1-11
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-111-111-1-111-11-1-1-111111-1-111-1-1-1111-11-1-1-111-1-1-11111-1-1-1-1111-1
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-111-111-1-1-1-11-1111-1-1-1-1-111-1-1-1-1-11111-1111-1-1111-1-1-1-111-1-1111-1
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-111-111-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1-1-11111111-11-11-1-11111-1-111-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-2000022-200-2-2-2-2-2002-2-200200002222000000000000-2-200000000000000
χ1822222222-2-22222222-22222222-2-2-2-2000022-200-2-2-2-2-200-22200-20000-2-2-2-20000000000002200000000000000
χ192222222-12222-1-1-12-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-122222002-1-1-1-1-1-1-1-12-1-12-1-120-1-100-1-100000000000000
χ202222222-12222-1-1-12-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-200-2111111112-1-12-1-1-2011001100000000000000
χ212222222-12222-1-1-12-1222-1-1-1-1-1-1-122-2-211-1-1-1112-1-1-1-122-2-2-200-2-1-1-1-11111-211-21120-1-1001100000000000000
χ222222222-12222-1-1-12-1222-1-1-1-1-1-1-122-2-211-1-1-1112-1-1-1-1-2-22220021111-1-1-1-1-211-211-201100-1-100000000000000
χ232222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-200−i3i3-1-11−i3i3-21111002-2-2002−i3−i3i3i3-1-1-1-10−i3i30−i3i300−i3i3001100000000000000
χ242222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-200−i3i3-1-11−i3i3-2111100-22200-2i3i3−i3−i311110−i3i30−i3i300i3−i300-1-100000000000000
χ252222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-200i3−i3-1-11i3−i3-21111002-2-2002i3i3−i3−i3-1-1-1-10i3−i30i3−i300i3−i3001100000000000000
χ262222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-200i3−i3-1-11i3−i3-2111100-22200-2−i3−i3i3i311110i3−i30i3−i300−i3i300-1-100000000000000
χ27222222-1222-1-1222-1-12-1-122-1-1-122-1-12222-1-1222-1-1-1-1-10000022000000000-1-1-1-1-1-102002200-1-1-1-1-1-1-1-1000000
χ28222222-1222-1-1222-1-12-1-122-1-1-122-1-12222-1-1222-1-1-1-1-100000-2-2000000000-1-1-1-1-1-10-200-2-20011111111000000
χ29222222-1222-1-1222-1-12-1-122-1-1-122-1-1-2-2-2-2-1-12-2-2-1-1-1-1-100000220000000001111110200-2-200-1-1-1-11111000000
χ30222222-1222-1-1222-1-12-1-122-1-1-122-1-1-2-2-2-2-1-12-2-2-1-1-1-1-100000-2-20000000001111110-20022001111-1-1-1-1000000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-20000-2-22002-2-2220022-200-2000022-2-20000000000002-200000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-20000-2-22002-2-22200-2-220020000-2-222000000000000-2200000000000000
χ332222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-1222-2-1-111111-2-1-111222-2200-2-1-1-1-1-1-1112-1-1-211-2011001-100000000000000
χ342222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-1222-2-1-111111-2-1-111-2-2-22-2002111111-1-12-1-1-21120-1-100-1100000000000000
χ352222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-122-2211111-1-1-2-1-11122-22-2002-1-1-1-111-1-1-2112-1-1-201100-1100000000000000
χ362222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-122-2211111-1-1-2-1-111-2-22-2200-21111-1-111-2112-1-120-1-1001-100000000000000
χ372222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-200−i3i311-1i3−i3211-1-10022-200-2−i3−i3i3i3-1-1110−i3i30i3−i300i3−i300-1100000000000000
χ382222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-200−i3i311-1i3−i3211-1-100-2-22002i3i3−i3−i311-1-10−i3i30i3−i300−i3i3001-100000000000000
χ392222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-200i3−i311-1−i3i3211-1-10022-200-2i3i3−i3−i3-1-1110i3−i30−i3i300−i3i300-1100000000000000
χ402222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-200i3−i311-1−i3i3211-1-100-2-22002−i3−i3i3i311-1-10i3−i30−i3i300i3−i3001-100000000000000
χ412222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-12-22211-2-2-21-1-1110000022000000000-1-1-11110-200-2200-1-111-1-111000000
χ422222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-12-22211-2-2-21-1-11100000-2-2000000000-1-1-111102002-20011-1-111-1-1000000
χ432222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-1-22-2-211-2221-1-1110000022000000000111-1-1-10-2002-200-1-11111-1-1000000
χ442222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-1-22-2-211-2221-1-11100000-2-2000000000111-1-1-10200-220011-1-1-1-111000000
χ452-22-20022-22-2-2-22-22200000-22-22-22-200000000002-2002-20002-202-22-20000000000000000002-20000002-20000
χ462-22-20022-22-2-2-22-22200000-22-22-22-200000000002-2002-2000-2202-22-2000000000000000000-22000000-220000
χ472-22-20022-22-2-2-22-22200000-22-22-22-200000000002-200-220002-20-22-220000000000000000002-2000000-220000
χ482-22-20022-22-2-2-22-22200000-22-22-22-200000000002-200-22000-220-22-22000000000000000000-220000002-20000
χ49444444-24-4-4-2-2444-2-2-4-2-244-2-2-2-4-4220000-2-2-4002222200000000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-244-2-211-2-2-2-211110000000000000000-211-2110000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-4-42211-222-2111100000000000000002-1-12-1-10000000000000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222200−2i32i3112−2i32i32-1-1-1-100000000000000000i3−i30i3−i30000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222002i3−2i31122i3−2i32-1-1-1-100000000000000000−i3i30−i3i30000000000000000000000
χ544444-4-4-24-4-4-2-2444-2-2422-4-4-2-2-2-4-422000022400-222-2-200000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-2-2-1-1222211-1-10000000000000000-2112-1-10000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-4422-1-12-2-2211-1-100000000000000002-1-1-2110000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200−2i32i3-1-1-22i3−2i3-2-1-11100000000000000000i3−i30−i3i30000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-21422221112222002i3−2i3-1-1-2−2i32i3-2-1-11100000000000000000−i3i30i3−i30000000000000000000000
χ5944-4-40044004-44-4-4-44000004-4-40000000000000000000000000000000000000000000000000000000000−2i22i200
χ6044-4-40044004-44-4-4-44000004-4-400000000000000000000000000000000000000000000000000000000002i2−2i200
χ614-44-400444-4-4-4-44-44400000-44-4-44-440000000000-440000000000000000000000000000000000000000000000
χ624-44-4004-24-4-4-42-224-2000002-222-2-4400000000002-20000000000−2i32i32i3−2i300000000000000000000000000000000
χ634-44-4004-24-4-4-42-224-2000002-222-2-4400000000002-200000000002i3−2i3−2i32i300000000000000000000000000000000
χ644-44-4004-2-44-4-42-224-2000002-22-224-40000000000-22004-4000000-22-2200000000000000000000000000000000
χ654-44-4004-2-44-4-42-224-2000002-22-224-40000000000-2200-440000002-22-200000000000000000000000000000000
χ664-44-400-244-422-44-4-2-2000002-22-442-200000000002-20000000000000000000000000000000000−2i32i30000000000
χ674-44-400-244-422-44-4-2-2000002-22-442-200000000002-200000000000000000000000000000000002i3−2i30000000000
χ684-44-400-24-4422-44-4-2-2000002-224-4-220000000000-2200000004-400000000000000000000000-22000000000000
χ694-44-400-24-4422-44-4-2-2000002-224-4-220000000000-220000000-44000000000000000000000002-2000000000000
χ704-4-444-44400-44-4-44-4404-44-4-4-44000000004-40000000000000000000000000000000000000000000000000000
χ714-4-444-44-200-4422-2-4-204-4-2222-200000000-2200000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ724-4-444-44-200-4422-2-4-204-4-2222-200000000-22000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ734-4-444-4-24002-2-4-442-20-224-422-200000000-220000000000000000000000000000000000000000006−66−6000000
χ744-4-444-4-24002-2-4-442-20-224-422-200000000-22000000000000000000000000000000000000000000−66−66000000
χ754-4-44-444400-44-4-44-440-44-44-4-4400000000-440000000000000000000000000000000000000000000000000000
χ764-4-44-444-200-4422-2-4-20-442-222-2000000002-200000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ774-4-44-444-200-4422-2-4-20-442-222-2000000002-2000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ784-4-44-44-24002-2-4-442-202-2-4422-2000000002-20000000000000000000000000000000000000000006−6−66000000
χ794-4-44-44-24002-2-4-442-202-2-4422-2000000002-2000000000000000000000000000000000000000000−666−6000000
χ8088-8-8008-4008-8-444-8-400000-44400000000000000000000000000000000000000000000000000000000000000
χ8188-8-800-4800-448-8-84-400000-44400000000000000000000000000000000000000000000000000000000000000
χ8288-8-800-4-400-44-44442000002-2-200000000000000006i−6i00000000000000000000000000000000000000000000
χ8388-8-800-4-400-44-44442000002-2-20000000000000000−6i6i00000000000000000000000000000000000000000000
χ848-88-800-4-48-8444-44-4200000-22-24-44-40000000000-220000000000000000000000000000000000000000000000
χ858-88-800-4-4-88444-44-4200000-22-2-44-4400000000002-20000000000000000000000000000000000000000000000
χ868-8-888-8-4-4004-444-4420-44-44-2-22000000002-20000000000000000000000000000000000000000000000000000
χ878-8-88-88-4-4004-444-44204-44-4-2-2200000000-220000000000000000000000000000000000000000000000000000

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