Finite Group Databasebeta

← Group #11897639

Character table — Group #11897639

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order12223344666666344666121212121212121244441212121212121212121212122244444881212121212121212121212121212446681212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-11
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1111111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111-1-1-1-11111-1-1-111-1-111-1-1-1-11111-11-11111-1-111111-111-1-1-1-111-1-1-11-1-1-111-1-1111-1-1
χ10111111111111111-1-1111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-111-11-1-1-111-1-111111-111-1-1-11-1-11111-1-1-1-1-111-1-1-111
χ11111111111111111-1-1111111-1-1-1-1111-11-1-1-1-11111-1-1-1-111-1-1-11-1-1-111-1-1-1-1-1-1-11-1-1111-1111-1-11-111-1-111-1-11-11
χ12111111111111111-1-1111111-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-11-1-11111-1-1-1111-11111-1-111-11-1
χ13111111111111111-1-1111111-1-1-1-11-1-11-1-1-111-1-111-1-1-1-111-1-11-1111-1-111-1-1-1-11-111-1-11-111-1-1-1-111111-1-1-1-1-111
χ14111111111111111-1-1111111-1-1-1-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-11-111-1-111-1-1111-1111-1-111111-1-1
χ15111111111111111-1-1111111-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-111111-11-1-1-1-1111111-11-1-111-1-1111-1-1-11-1-1-1-11111-11-1
χ16111111111111111-1-1111111-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1111-1-1111111-11-1-111-11-1-1-111-11-1-111-1-1-1-11-11
χ17222222-2-222222222-2222-2-2-222-2-2-222002-20000-2-222-2-200002-2-200222200000000000000000-2-200000000000
χ18222222-2-222222222-2222-2-2-222-2-2-2-2-2002-20000-2-222-2-20000-22200-2-2-2-2000000000000000002200000000000
χ19222222-2-22222222-22222-2-2-2-2-222-22200-220000-2-2-2-2220000-2-220022-2-200000000000000000-2200000000000
χ20222222-2-22222222-22222-2-2-2-2-222-2-2-200-220000-2-2-2-222000022-200-2-222000000000000000002-200000000000
χ2122222-122-1-122-12-122-1-1-1-12222-1-1-10022-122222-1-1-1-1-1-122000002200000000-1-1-1-1-1-102-1-12-1-10000-1-1-1-100000
χ2222222-122-1-122-12-122-1-1-1-12222-1-1-10022-122222-1-1-1-1-1-1-2-200000-2-200000000-1-1-1-1-1-10-211-2110000111100000
χ2322222-122-1-122-12-122-1-1-1-12222-1-1-100-2-2-12-2-2-2-2-1-1-1-1-1-12200000-2-20000000011111102-1-1-2-1-10000111100000
χ2422222-122-1-122-12-122-1-1-1-12222-1-1-100-2-2-12-2-2-2-2-1-1-1-1-1-1-2-20000022000000001111110-2112110000-1-1-1-100000
χ2522222-122-1-122-12-1-2-2-1-1-1-122-2-211-1002-21-222-2-2-1-1111122000002200000000-11-1-1110-2-1-1-2110000-1-11100000
χ2622222-122-1-122-12-1-2-2-1-1-1-122-2-211-1002-21-222-2-2-1-11111-2-200000-2-200000000-11-1-11102112-1-1000011-1-100000
χ2722222-122-1-122-12-1-2-2-1-1-1-122-2-211-100-221-2-2-222-1-111112200000-2-2000000001-111-1-10-2-1-1211000011-1-100000
χ2822222-122-1-122-12-1-2-2-1-1-1-122-2-211-100-221-2-2-222-1-11111-2-20000022000000001-111-1-10211-2-1-10000-1-11100000
χ292222-122222-1-12-1-122-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1002222200-1-1-1-1-1-1-1-122-1-1-1-12000000-1-1-1-1000000000
χ302222-122222-1-12-1-122-1-1-12-1-1-1-122222-2-22-11111-1-1-1-1-1-100-2-222200-1-1-1-11111-2-21111-2000000-1-111000000000
χ312222-122222-1-12-1-122-1-1-12-1-1-1-1222-2-2222-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2001111111122-1-1-1-1-20000001111000000000
χ322222-122222-1-12-1-122-1-1-12-1-1-1-1222-2-2-2-22-11111-1-1-1-1-1-10022-2-2-2001111-1-1-1-1-2-21111200000011-1-1000000000
χ332222-122222-1-12-1-1-2-2-1-1-12-1-111-2-22222-2-21-1-111-1-111110022-22-200-1-111-1-1-1-12-2-1-111-2000000-1111000000000
χ342222-122222-1-12-1-1-2-2-1-1-12-1-111-2-2222-22-2111-1-1-1-1111100-2-2-22-200-1-1111111-2211-1-12000000-11-1-1000000000
χ352222-122222-1-12-1-1-2-2-1-1-12-1-111-2-22-2-22-2-21-1-111-1-1111100-2-22-220011-1-111112-2-1-11120000001-1-1-1000000000
χ362222-122222-1-12-1-1-2-2-1-1-12-1-111-2-22-2-2-22-2111-1-1-1-1111100222-220011-1-1-1-1-1-1-2211-1-1-20000001-111000000000
χ372222-12-2-222-1-12-1-12-2-1-1-1-211-1-1-2-2-2220021−i3i3−i3i311-1-11100002-2-200-1-1-1-1−i3−i3i3i300−i3i3−i3i3000000011−i3i3000000000
χ382222-12-2-222-1-12-1-12-2-1-1-1-211-1-1-2-2-2220021i3−i3i3−i311-1-11100002-2-200-1-1-1-1i3i3−i3−i300i3−i3i3−i3000000011i3−i3000000000
χ392222-12-2-222-1-12-1-12-2-1-1-1-211-1-1-2-2-2-2-20021−i3i3−i3i311-1-1110000-222001111i3i3−i3−i300−i3i3−i3i30000000-1-1i3−i3000000000
χ402222-12-2-222-1-12-1-12-2-1-1-1-211-1-1-2-2-2-2-20021i3−i3i3−i311-1-1110000-222001111−i3−i3i3i300i3−i3i3−i30000000-1-1−i3i3000000000
χ412222-12-2-222-1-12-1-1-22-1-1-1-2111122-22200-2-1−i3i3i3−i31111-1-10000-2-2200-1-111−i3−i3i3i300−i3i3i3−i300000001-1i3−i3000000000
χ422222-12-2-222-1-12-1-1-22-1-1-1-2111122-22200-2-1i3−i3−i3i31111-1-10000-2-2200-1-111i3i3−i3−i300i3−i3−i3i300000001-1−i3i3000000000
χ432222-12-2-222-1-12-1-1-22-1-1-1-2111122-2-2-200-2-1−i3i3i3−i31111-1-1000022-20011-1-1i3i3−i3−i300−i3i3i3−i30000000-11−i3i3000000000
χ442222-12-2-222-1-12-1-1-22-1-1-1-2111122-2-2-200-2-1i3−i3−i3i31111-1-1000022-20011-1-1−i3−i3i3i300i3−i3−i3i30000000-11i3−i3000000000
χ4522-2-2222-22-22-2-2-22002-2-222-20000-200000000002-200002-22-20000000002-22-2000000002-2000000000002-2000
χ4622-2-2222-22-22-2-2-22002-2-222-20000-200000000002-200002-2-22000000000-22-22000000002-200000000000-22000
χ4722-2-2222-22-22-2-2-22002-2-222-20000-200000000002-20000-222-20000000002-22-200000000-2200000000000-22000
χ4822-2-2222-22-22-2-2-22002-2-222-20000-200000000002-20000-22-22000000000-22-2200000000-22000000000002-2000
χ4944444-2-4-4-2-244-24-24-4-2-2-22-4-4442220000-2-4000022-2-2220000000000000000000000000000000000000000000
χ5044444-2-4-4-2-244-24-2-44-2-2-22-4-4-4-4-2-2200002400002222-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-20044-2-2-2-2-2-211111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-4-2-222221111110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-2004-422-2-22211-1-1-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-200-442222-2-211-1-1-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111222-2-22220000-22−2i32i3−2i32i3-1-111-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111222-2-22220000-222i3−2i32i3−2i3-1-111-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122222-2-2200002-2−2i32i32i3−2i3-1-1-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222-2-2200002-22i3−2i3−2i32i3-1-1-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444-444-44-4-4-44004-4-4-4-44000040000000000-4400000000000000000000000000000000000000000000000
χ6044-4-44-24-4-224-42-4-200-222-24-4000020000000000-2200004-400000000000000000000000-220000000000000000
χ6144-4-44-24-4-224-42-4-200-222-24-4000020000000000-220000-44000000000000000000000002-20000000000000000
χ6244-4-44-2-44-224-42-4-200-2222-440000-200000000002-20000000000000000000000000000000023−230000000000000
χ6344-4-44-2-44-224-42-4-200-2222-440000-200000000002-200000000000000000000000000000000−23230000000000000
χ6444-4-4-244-44-4-22-42-200-2224-220000-40000000000-220000004-4000000000-22-2200000000000000000000000000
χ6544-4-4-244-44-4-22-42-200-2224-220000-40000000000-22000000-440000000002-22-200000000000000000000000000
χ6644-4-4-24-444-4-22-42-200-222-42-20000400000000002-200000000000000000−2i32i32i3−2i300000000000000000000000000
χ6744-4-4-24-444-4-22-42-200-222-42-20000400000000002-2000000000000000002i3−2i3−2i32i300000000000000000000000000
χ684-44-44400-44-44-4-4400-44-4000000004-4000000000000000000000004-400000000000000000000000000000000
χ694-44-44400-44-44-4-4400-44-400000000-4400000000000000000000000-4400000000000000000000000000000000
χ704-44-4-2400-442-2-42-2002-22000−2i32i30004-40000000000−2i32i300000000000-22−2i32i3000000000000000000000000000000
χ714-44-4-2400-442-2-42-2002-22000−2i32i3000-440000000000−2i32i3000000000002-22i3−2i3000000000000000000000000000000
χ724-44-4-2400-442-2-42-2002-220002i3−2i30004-400000000002i3−2i300000000000-222i3−2i3000000000000000000000000000000
χ734-44-4-2400-442-2-42-2002-220002i3−2i3000-4400000000002i3−2i3000000000002-2−2i32i3000000000000000000000000000000
χ744-4-444400-4-4-4-444400-4-44000000000000000000000000000000022−22000000000000000000000000022−220000000
χ754-4-444400-4-4-4-444400-4-440000000000000000000000000000000−22220000000000000000000000000−22220000000
χ764-4-444-20022-4-4-24-20022-200000−2i32i3000000000000000−2i32i3000000022−220000000000000000000000000−22i6−i600000
χ774-4-444-20022-4-4-24-20022-200000−2i32i3000000000000000−2i32i30000000−222200000000000000000000000002−2−i6i600000
χ784-4-444-20022-4-4-24-20022-2000002i3−2i30000000000000002i3−2i3000000022−220000000000000000000000000−22−i6i600000
χ794-4-444-20022-4-4-24-20022-2000002i3−2i30000000000000002i3−2i30000000−222200000000000000000000000002−2i6−i600000
χ8088-8-8-4-48-8-44-44442002-2-2-4-440000400000000002-200000000000000000000000000000000000000000000000
χ8188-8-8-4-4-88-44-44442002-2-244-40000-40000000000-2200000000000000000000000000000000000000000000000
χ828-88-88-4004-4-884-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-44-444200-22-2000−4i34i30000000000000002i3−2i3000000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-444200-22-20004i3−4i3000000000000000−2i32i3000000000000000000000000000000000000000000000
χ858-8-88-4800-8-8448-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-2-2200000−4i34i30000000000000002i3−2i30000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-2-22000004i3−4i3000000000000000−2i32i30000000000000000000000000000000000000000000

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