Finite Group Databasebeta

← Group #11896079

Character table — Group #11896079

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order1222334444666666346661212121212121212121244121212121212121212121244444488881212121212121212242424242424242412121212121244412121212441212288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111-1-11-1-1-1-111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ61111111111111111111111111111111-1-11-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1
χ71111111111111111111111111111111-1-11-1-1-1-1111111-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-11111-1-11-1-1
χ81111111111111111111111111111111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111
χ9111111-1-1111111111-1111-1-1-1-111-1-1111-1-111-1-111-1-1-1-11-1111-111-1-111-1-111111111-1-1-1-11-111-1-1-11-11-1-1-1111-1-11-1
χ10111111-1-1111111111-1111-1-1-1-111-1-1111-1-111-1-111-1-1-1-11-1111-1-1-11111-1-11111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-111-11
χ11111111-1-1111111111-1111-1-1-1-111-1-1111-1-111-1-111-1-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-1111-1-11-11-11
χ12111111-1-1111111111-1111-1-1-1-111-1-1111-1-111-1-111-1-1-1-1-11-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-11-11-111111-11-11-1
χ13111111-1-1111111111-1111-1-1-1-111-1-111-11-1-1-11111-1-1-1-11-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111-111-111-1-1-1111-1
χ14111111-1-1111111111-1111-1-1-1-111-1-111-11-1-1-11111-1-1-1-11-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-11-111111-1-1-11
χ15111111-1-1111111111-1111-1-1-1-111-1-111-11-1-1-11111-1-1-1-1-1111-1111-1-1-1-11111111111-1-1-1-1-11-1-111-1-11-11-1-111-11-1-11
χ16111111-1-1111111111-1111-1-1-1-111-1-111-11-1-1-11111-1-1-1-1-1111-11-1-111-1-1111111-1-1-1-11111-11-1-111-11-1-11-1-1-1-11-111-1
χ1722222222-2-22222222-222222-2-2-2-222-2-200-20000-2-222-2-22200-2-20000-2-2-2-200000000000000000000022000000000
χ1822222222-2-22222222-222222-2-2-2-222-2-200-20000-2-222-2-2-2-2002200002222000000000000000000000-2-2000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-20020000-2-2-2-2222-200-220000-2-2220000000000000000000002-2000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-20020000-2-2-2-222-22002-2000022-2-2000000000000000000000-22000000000
χ2122222-1222222-1-12-1-12-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000022-1-1-1-1200-1-1-1-10000000
χ2222222-1222222-1-12-1-12-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000022-1-1-1-1-20011110000000
χ2322222-1222222-1-12-1-12-1-1-12222-1-1-1-122-2-2-11111-1-1-1-1-1-122-2-2220000-1-1-1-1111100000000-2-21111-200-1-1110000000
χ2422222-1222222-1-12-1-12-1-1-12222-1-1-1-122-2-2-11111-1-1-1-1-1-1-2-222-2-200001111-1-1-1-100000000-2-2111120011-1-10000000
χ2522222-122-2-222-1-12-1-1-2-1-1-122-2-211-1-1-2-2001−i3i3−i3i311-1-1112200-2-200001111−i3−i3i3i30000000000−i3i3−i3i3000-1-1−i3i30000000
χ2622222-122-2-222-1-12-1-1-2-1-1-122-2-211-1-1-2-2001−i3i3−i3i311-1-111-2-200220000-1-1-1-1i3i3−i3−i30000000000−i3i3−i3i300011i3−i30000000
χ2722222-122-2-222-1-12-1-1-2-1-1-122-2-211-1-1-2-2001i3−i3i3−i311-1-1112200-2-200001111i3i3−i3−i30000000000i3−i3i3−i3000-1-1i3−i30000000
χ2822222-122-2-222-1-12-1-1-2-1-1-122-2-211-1-1-2-2001i3−i3i3−i311-1-111-2-200220000-1-1-1-1−i3−i3i3i30000000000i3−i3i3−i300011−i3i30000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-1-2-2-2-2-1-111222-21-1-111-1-111112-2222-20000-1-111-1-1-1-1000000002-2-1-111-200-11110000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-1-2-2-2-2-1-111222-21-1-111-1-11111-22-2-2-22000011-1-11111000000002-2-1-1112001-1-1-10000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-1-2-2-2-2-1-11122-22111-1-1-1-111112-2-2-22-20000-1-111111100000000-2211-1-1200-11-1-10000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-1-2-2-2-2-1-11122-22111-1-1-1-11111-2222-22000011-1-1-1-1-1-100000000-2211-1-1-2001-1110000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-2-2221111-2-200-1−i3i3i3−i31111-1-12-200-22000011-1-1−i3−i3i3i30000000000−i3i3i3−i3000-11i3−i30000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-2-2221111-2-200-1−i3i3i3−i31111-1-1-22002-20000-1-111i3i3−i3−i30000000000−i3i3i3−i30001-1−i3i30000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-2-2221111-2-200-1i3−i3−i3i31111-1-12-200-22000011-1-1i3i3−i3−i30000000000i3−i3−i3i3000-11−i3i30000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-2-2221111-2-200-1i3−i3−i3i31111-1-1-22002-20000-1-111−i3−i3i3i30000000000i3−i3−i3i30001-1i3−i30000000
χ372222-122222-1-122-12-12-1-1-1-1-1-1-12222-1-12222222-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000-1-1000
χ382222-122222-1-122-12-12-1-1-1-1-1-1-12222-1-12222222-1-1-1-1-1-1000000-2-2-2-20000000011111111-1-1-1-1-1-10-2-200000011000
χ392222-122222-1-122-12-12-1-1-1-1-1-1-12222-1-1-2-22-2-2-2-2-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-11111110-2-200000011000
χ402222-122222-1-122-12-12-1-1-1-1-1-1-12222-1-1-2-22-2-2-2-2-1-1-1-1-1-1000000-2-2-2-20000000011111111111111022000000-1-1000
χ412222-12-2-222-1-122-12-1-2-1-1-1111122-2-2-1-12-2-222-2-2-1-1111100000022-2-200000000-1-1-1-11111-11-1-11102-2000000-11000
χ422222-12-2-222-1-122-12-1-2-1-1-1111122-2-2-1-12-2-222-2-2-1-11111000000-2-222000000001111-1-1-1-1-11-1-1110-220000001-1000
χ432222-12-2-222-1-122-12-1-2-1-1-1111122-2-2-1-1-22-2-2-222-1-1111100000022-2-200000000-1-1-1-111111-111-1-10-220000001-1000
χ442222-12-2-222-1-122-12-1-2-1-1-1111122-2-2-1-1-22-2-2-222-1-11111000000-2-222000000001111-1-1-1-11-111-1-102-2000000-11000
χ452-22-22200-22-2-22-22-2202-2-200002-2002-200000002-20000002-2002i−2i0000002-22-22i2i−2i−2i000000000000000002i−2i00000
χ462-22-22200-22-2-22-22-2202-2-200002-2002-200000002-20000002-200−2i2i0000002-22-2−2i−2i2i2i00000000000000000−2i2i00000
χ472-22-22200-22-2-22-22-2202-2-200002-2002-200000002-2000000-22002i−2i000000-22-222i2i−2i−2i00000000000000000−2i2i00000
χ482-22-22200-22-2-22-22-2202-2-200002-2002-200000002-2000000-2200−2i2i000000-22-22−2i−2i2i2i000000000000000002i−2i00000
χ494444-2444-4-4-2-244-24-2-4-2-2-2-2-222-4-4442200-4000022-2-2220000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-24-24-2-2-222-2-2-4-4-4-42200400002222-2-20000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-244-2-2-2-2-211111100000000000000000000000000-2-2111100000000000000
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-4-4-222221111110000000000000000000000000022-1-1-1-100000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-4111-2-22222-2-222002−2i32i3−2i32i3-1-111-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-4111-2-22222-2-2220022i3−2i32i3−2i3-1-111-1-10000000000000000000000000000−i3i3−i3i300000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-24-42-2-22211-1-1-1-100000000000000000000000000-2211-1-100000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-2-44222-2-211-1-1-1-1000000000000000000000000002-2-1-11100000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-222222200-2−2i32i32i3−2i3-1-1-1-1110000000000000000000000000000i3−i3−i3i300000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-222222200-22i3−2i3−2i32i3-1-1-1-1110000000000000000000000000000−i3i3i3−i300000000000000
χ5944-4-4440000-44-4-4-4440-4-440000000000000000000000000000000−2i22i2000000000000−2i2−2i22i22i200000000000000000000
χ6044-4-4440000-44-4-4-4440-4-4400000000000000000000000000000002i2−2i20000000000002i22i2−2i2−2i200000000000000000000
χ6144-4-4-2400002-2-4-424-2022-200−2i32i300000000000000000−2i32i300000000−2i22i2000000006−66−6i2i2−i2−i200000000000000000000
χ6244-4-4-2400002-2-4-424-2022-200−2i32i300000000000000000−2i32i3000000002i2−2i200000000−66−66−i2−i2i2i200000000000000000000
χ6344-4-4-2400002-2-4-424-2022-2002i3−2i3000000000000000002i3−2i300000000−2i22i200000000−66−66i2i2−i2−i200000000000000000000
χ6444-4-4-2400002-2-4-424-2022-2002i3−2i3000000000000000002i3−2i3000000002i2−2i2000000006−66−6−i2−i2i2i200000000000000000000
χ654-44-444004-4-4-44-44-4404-4-40000-4400-440000000-4400000000000000000000000000000000000000000000000000
χ664-44-44-2004-4-4-4-2242-20-22200002-200-4400000002-2000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ674-44-44-2004-4-4-4-2242-20-22200002-200-4400000002-20000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ684-44-44-200-44-4-4-2242-20-2220000-22004-40000000-220000004-40000000000-22-220000000000000000000000000000
χ694-44-44-200-44-4-4-2242-20-2220000-22004-40000000-22000000-4400000000002-22-20000000000000000000000000000
χ704-44-4-24004-4224-4-2-4-20-2220000-44002-200000002-20000000000000000000000000023−2323−2300000000000000000000
χ714-44-4-24004-4224-4-2-4-20-2220000-44002-200000002-200000000000000000000000000−2323−232300000000000000000000
χ724-44-4-2400-44224-4-2-4-20-22200004-400-220000000-2200000000004i−4i0000000000−2i−2i2i2i000000000000000000000000
χ734-44-4-2400-44224-4-2-4-20-22200004-400-220000000-220000000000−4i4i00000000002i2i−2i−2i000000000000000000000000
χ744-4-44444-4004-4-44-4-440-44-44-400004-4000000000004-4000000000000000000000000000000000000000000000000
χ754-4-4444-44004-4-44-4-440-44-4-440000-4400000000000-44000000000000000000000000000000000000000000000000
χ764-4-444-24-4004-42-2-42-202-224-40000-2200000000000-22000000000000−2i32i3−2i32i300000000000000000000000000000000
χ774-4-444-24-4004-42-2-42-202-224-40000-2200000000000-220000000000002i3−2i32i3−2i300000000000000000000000000000000
χ784-4-444-2-44004-42-2-42-202-22-4400002-2000000000002-2000000000000−2i32i32i3−2i300000000000000000000000000000000
χ794-4-444-2-44004-42-2-42-202-22-4400002-2000000000002-20000000000002i3−2i3−2i32i300000000000000000000000000000000
χ804-4-44-244-400-22-442-4-202-22-2200004-400000000000-2200000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000
χ814-4-44-244-400-22-442-4-202-22-2200004-400000000000-2200000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000
χ824-4-44-24-4400-22-442-4-202-222-20000-44000000000002-200000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000
χ834-4-44-24-4400-22-442-4-202-222-20000-44000000000002-200000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000
χ8488-8-88-40000-8844-8-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400004-4444-420-2-2200−4i34i3000000000000000002i3−2i30000000000000000000000000000000000000000000000
χ8688-8-8-4-400004-4444-420-2-22004i3−4i300000000000000000−2i32i30000000000000000000000000000000000000000000000
χ878-88-8-4-4008-844-44-44202-2-200004-4004-40000000-2200000000000000000000000000000000000000000000000000
χ888-88-8-4-400-8844-44-44202-2-20000-4400-4400000002-200000000000000000000000000000000000000000000000000
χ898-8-88-4-48-800-444-44420-22-2-440000-44000000000002-2000000000000000000000000000000000000000000000000
χ908-8-88-4-4-8800-444-44420-22-24-400004-400000000000-22000000000000000000000000000000000000000000000000

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