Finite Group Databasebeta

← Group #11895741

Character table — Group #11895741

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order12223344666666344666121212121212121244226666121212121212121222444448812121212121212126666662466668121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111111-1-1111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-11
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1-1111-1-1111111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-11-1-1-1-11111-1-111-1
χ9111111111111111-1-1111111-1-1-1-11111-111-1-1-1-111-1-1-1-1111-1-1111111-1-111111-111-1-1-1-1-1-111-11-1-1-111-1-1111-1-1
χ10111111111111111-1-1111111-1-1-1-11111-111-1-1-1-111-1-1-1-1-1-11-1-111-1-111-1-111111-111-1-1-11-1-1-1-111-111-1-111-1-1-111
χ11111111111111111-1-1111111-1-1-1-1111-11-1-111-1-111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1111-1111111-1-1-1-1-111-1-11-11
χ12111111111111111-1-1111111-1-1-1-1111-11-1-111-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-1111111-1-1-11-11111-1-111-11-1
χ13111111111111111-1-1111111-1-1-1-11-1-11-111-1-1-1-111-1-1-1-111-111-1-111-1-111-1-1-1-11-111-1-11-11111-1-11-1-111-1-1-1-1-111
χ14111111111111111-1-1111111-1-1-1-11-1-11-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111-1-11111-1-11-1111-1-111111-1-1
χ15111111111111111-1-1111111-1-1-1-11-1-1-11-1-111-1-111-1-1-1-111-11111-1-1-1-1111111-11-1-111-1-1-1-1111-11-1-1-1-11111-11-1
χ16111111111111111-1-1111111-1-1-1-11-1-1-11-1-111-1-111-1-1-1-1-1-1-1111111-1-1111111-11-1-111-11-1-1-1-1-1-111111-1-1-1-11-11
χ17222222-2-222222222-2222-2-2-222-2-2-222000000-22-2-222-2-200-22-2000022-2-200000000000000000-2200000000000
χ18222222-2-222222222-2222-2-2-222-2-2-2-2-2000000-22-2-222-2-2002-220000-2-222000000000000000002-200000000000
χ19222222-2-22222222-22222-2-2-2-2-222-2220000002-2-2-2-2-22200-2-220000222200000000000000000-2-200000000000
χ20222222-2-22222222-22222-2-2-2-2-222-2-2-20000002-2-2-2-2-2220022-20000-2-2-2-2000000000000000002200000000000
χ2122222-12222-12-1-1-122-1-1-12-1-122-1-122222-1-1-1-12-1-1-1-1-1-1-1002222200-1-1-1-1-1-1-1-122-1-1-1-120-1-1000-1-100000000000
χ2222222-12222-12-1-1-122-1-1-12-1-122-1-1222-2-211112-1-1-1-1-1-1-100222-2-200-1-1-1-11111-2-21111-2011000-1-100000000000
χ2322222-12222-12-1-1-122-1-1-12-1-122-1-12-2-222-1-1-1-12-1-1-1-1-1-1-100-2-2-2-2-2001111111122-1-1-1-1-20110001100000000000
χ2422222-12222-12-1-1-122-1-1-12-1-122-1-12-2-2-2-211112-1-1-1-1-1-1-100-2-2-222001111-1-1-1-1-2-2111120-1-10001100000000000
χ2522222-12222-12-1-1-1-2-2-1-1-12-1-1-2-2112222-2-1-111-21-1-11111002-2-22200-1-111-1-1-1-12-2-1-111-2011000-1100000000000
χ2622222-12222-12-1-1-1-2-2-1-1-12-1-1-2-211222-2211-1-1-21-1-11111002-2-2-2-200-1-1111111-2211-1-120-1-1000-1100000000000
χ2722222-12222-12-1-1-1-2-2-1-1-12-1-1-2-2112-2-22-2-1-111-21-1-1111100-222-2-20011-1-111112-2-1-11120-1-10001-100000000000
χ2822222-12222-12-1-1-1-2-2-1-1-12-1-1-2-2112-2-2-2211-1-1-21-1-1111100-222220011-1-1-1-1-1-1-2211-1-1-20110001-100000000000
χ2922222-1-2-222-12-1-1-12-2-1-1-1-2112211-22200−i3i3−i3i3-2-111-1-11100-22-20000-1-111−i3−i3i3i300−i3i3−i3i300−i3i30001-100000000000
χ3022222-1-2-222-12-1-1-12-2-1-1-1-2112211-22200i3−i3i3−i3-2-111-1-11100-22-20000-1-111i3i3−i3−i300i3−i3i3−i300i3−i30001-100000000000
χ3122222-1-2-222-12-1-1-12-2-1-1-1-2112211-2-2-200−i3i3−i3i3-2-111-1-111002-22000011-1-1i3i3−i3−i300−i3i3−i3i300i3−i3000-1100000000000
χ3222222-1-2-222-12-1-1-12-2-1-1-1-2112211-2-2-200i3−i3i3−i3-2-111-1-111002-22000011-1-1−i3−i3i3i300i3−i3i3−i300−i3i3000-1100000000000
χ3322222-1-2-222-12-1-1-1-22-1-1-1-211-2-2-1-1-22200−i3i3i3−i3211111-1-100-2-220000-1-1-1-1−i3−i3i3i300−i3i3i3−i300i3−i30001100000000000
χ3422222-1-2-222-12-1-1-1-22-1-1-1-211-2-2-1-1-22200i3−i3−i3i3211111-1-100-2-220000-1-1-1-1i3i3−i3−i300i3−i3−i3i300−i3i30001100000000000
χ3522222-1-2-222-12-1-1-1-22-1-1-1-211-2-2-1-1-2-2-200−i3i3i3−i3211111-1-10022-200001111i3i3−i3−i300−i3i3i3−i300−i3i3000-1-100000000000
χ3622222-1-2-222-12-1-1-1-22-1-1-1-211-2-2-1-1-2-2-200i3−i3−i3i3211111-1-10022-200001111−i3−i3i3i300i3−i3−i3i300i3−i3000-1-100000000000
χ372222-1222-1-12-122-122-1-1-1-122-1-122-100222222-12-1-1-1-1-1-122000002200000000-1-1-1-1-1-10200-1-1200-1-1-1-1-1-100000
χ382222-1222-1-12-122-122-1-1-1-122-1-122-100222222-12-1-1-1-1-1-1-2-200000-2-200000000-1-1-1-1-1-10-20011-20011111100000
χ392222-1222-1-12-122-122-1-1-1-122-1-122-100-2-2-2-2-2-2-12-1-1-1-1-1-12200000-2-2000000001111110200-1-1-200-1-1111100000
χ402222-1222-1-12-122-122-1-1-1-122-1-122-100-2-2-2-2-2-2-12-1-1-1-1-1-1-2-20000022000000001111110-2001120011-1-1-1-100000
χ412222-1222-1-12-122-1-2-2-1-1-1-12211-2-2-1002-222-2-21-2-1-1111122000002200000000-11-1-1110-200-1-1-20011-1-11100000
χ422222-1222-1-12-122-1-2-2-1-1-1-12211-2-2-1002-222-2-21-2-1-11111-2-200000-2-200000000-11-1-111020011200-1-111-1-100000
χ432222-1222-1-12-122-1-2-2-1-1-1-12211-2-2-100-22-2-2221-2-1-111112200000-2-2000000001-111-1-10-200-1-12001111-1-100000
χ442222-1222-1-12-122-1-2-2-1-1-1-12211-2-2-100-22-2-2221-2-1-11111-2-20000022000000001-111-1-1020011-200-1-1-1-11100000
χ4522-2-222-222-22-2-2-22002-2-2-22-20000200000000002-200002-20002i−2i0000002i−2i2i−2i00000000002-20000000002i−2i000
χ4622-2-222-222-22-2-2-22002-2-2-22-20000200000000002-200002-2000−2i2i000000−2i2i−2i2i00000000002-2000000000−2i2i000
χ4722-2-222-222-22-2-2-22002-2-2-22-20000200000000002-20000-220002i−2i0000002i−2i2i−2i0000000000-22000000000−2i2i000
χ4822-2-222-222-22-2-2-22002-2-2-22-20000200000000002-20000-22000−2i2i000000−2i2i−2i2i0000000000-220000000002i−2i000
χ494444-24-4-4-2-24-244-24-4-2-2-22-4-4-2-2-4-42000000002422-2-2220000000000000000000000000000000000000000000
χ504444-24-4-4-2-24-244-2-44-2-2-22-4-42244200000000-2-42222-2-20000000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-42222-2-21111110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-2004-4-2-2222211-1-1-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-200-4422-2-22211-1-1-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111222-2-22220000−2i32i3−2i32i32-2-1-111-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111222-2-222200002i3−2i32i3−2i32-2-1-111-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122222-2-220000−2i32i32i3−2i3-22-1-1-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222-2-2200002i3−2i3−2i32i3-22-1-1-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4444-44-44-4-4-44004-4-44-440000-40000000000-4400000000000000000000000000000000000000000000000
χ6044-4-44-24-44-4-2-422-200-22242-20000-400000000002-20000000000000000023−23−232300000000000000000000000000
χ6144-4-44-24-44-4-2-422-200-22242-20000-400000000002-200000000000000000−232323−2300000000000000000000000000
χ6244-4-44-2-444-4-2-422-200-222-4-22000040000000000-220000000004i−4i000000−2i2i−2i2i00000000000000000000000000
χ6344-4-44-2-444-4-2-422-200-222-4-22000040000000000-22000000000−4i4i0000002i−2i2i−2i00000000000000000000000000
χ6444-4-4-244-4-2242-4-4-200-222-2-440000200000000002-200000000000000000000000000000000000023−23000000000
χ6544-4-4-244-4-2242-4-4-200-222-2-440000200000000002-2000000000000000000000000000000000000−2323000000000
χ6644-4-4-24-44-2242-4-4-200-22224-40000-20000000000-2200004-40000000000000000000000000-2200000000000000
χ6744-4-4-24-44-2242-4-4-200-22224-40000-20000000000-220000-4400000000000000000000000002-200000000000000
χ684-44-44400-44-4-4-44400-44-4000000004-4000000000000000000000004-400000000000000000000000000000000
χ694-44-44400-44-4-4-44400-44-400000000-4400000000000000000000000-4400000000000000000000000000000000
χ704-44-44-200-442-42-2-2002-2200000−2i32i304-4000000000000−2i32i3000000000-22−2i32i3000000000000000000000000000000
χ714-44-44-200-442-42-2-2002-2200000−2i32i30-44000000000000−2i32i30000000002-22i3−2i3000000000000000000000000000000
χ724-44-44-200-442-42-2-2002-22000002i3−2i304-40000000000002i3−2i3000000000-222i3−2i3000000000000000000000000000000
χ734-44-44-200-442-42-2-2002-22000002i3−2i30-440000000000002i3−2i30000000002-2−2i32i3000000000000000000000000000000
χ744-4-444400-4-4-444-4400-4-44000000000000000000000000000000022−22000000000000000000000000022−220000000
χ754-4-444400-4-4-444-4400-4-440000000000000000000000000000000−22220000000000000000000000000−22220000000
χ764-4-44-240022-4-24-4-20022-2000−2i32i3000000000000000−2i32i300000000022−220000000000000000000000000−22i6−i600000
χ774-4-44-240022-4-24-4-20022-2000−2i32i3000000000000000−2i32i3000000000−222200000000000000000000000002−2−i6i600000
χ784-4-44-240022-4-24-4-20022-20002i3−2i30000000000000002i3−2i300000000022−220000000000000000000000000−22−i6i600000
χ794-4-44-240022-4-24-4-20022-20002i3−2i30000000000000002i3−2i3000000000−222200000000000000000000000002−2i6−i600000
χ8088-8-8-4-48-8-44-44442002-2-2-44-4000040000000000-2200000000000000000000000000000000000000000000000
χ8188-8-8-4-4-88-44-44442002-2-24-440000-400000000002-200000000000000000000000000000000000000000000000
χ828-88-8-48004-4-84-88-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-4444-4200-22-200000−4i34i30000000000000002i3−2i30000000000000000000000000000000000000000000
χ848-88-8-4-4004-4444-4200-22-2000004i3−4i3000000000000000−2i32i30000000000000000000000000000000000000000000
χ858-8-888-400-8-848-44-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-4-44200-2-22000−4i34i30000000000000002i3−2i3000000000000000000000000000000000000000000000
χ878-8-88-4-400444-4-44200-2-220004i3−4i3000000000000000−2i32i3000000000000000000000000000000000000000000000

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