Finite Group Databasebeta

← Group #11889100

Character table — Group #11889100

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order12222233446666663466666661212121212124466121212121212121212244444888812121212121212122424242424242424121212121212244612121222612288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-11-1-1-1-1-1-111-1-1-1
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
χ51111111111111111111111111111111-1-111-1-11-1-111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ61111111111111111111111111111111-1-111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111-1-1
χ71111111111111111111111111111111-1-111-1-11-1-11111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-1-11111-1-11-1-1
χ81111111111111111111111111111111-1-111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111
χ91111-1-111111111111-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-11-11-11111-1-1-1-11111111111-1-1-1-11-111-1-11-1-11-1-1-1111-1-1-11
χ101111-1-111111111111-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-11-11-111-1-111-1-1111111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1111-1
χ111111-1-111111111111-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-1-11-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1111-1-11-111-1
χ121111-1-111111111111-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-111-111111-11-1-11
χ131111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-11-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-1111-111-1-1-111-11
χ141111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-11-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-11111-11-111111-1-11-1
χ151111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-11-111111-1-111-1-111111111-1-1-1-1-11-1-111-1-11-11-1-111-11-11-1
χ161111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-11-1111-1-11111-1-11111-1-1-1-11111-11-1-1111-1-1-11-1-1-1-11-11-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-2002200-200-2-2-2-22-2-22000000-2-2-2-200000000000000000000022000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2002200-200-2-2-2-2-222-20000002222000000000000000000000-2-2000000000
χ192222222-122-1-12-122-1222-1-1-1-1-1-1-1-122-122-1-122222-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1202000000-1-1000
χ202222222-122-1-12-122-1222-1-1-1-1-1-1-1-122-122-1-122222-1-1-1-1000000-2-2-2-20000000011111111-1-1-1-1-1-1-20-200000011000
χ212222222-122-1-12-122-1222-1-1-1-1-1-1-1-122-1-2-2-1-1-2-22-2-2-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1111111-20-200000011000
χ222222222-122-1-12-122-1222-1-1-1-1-1-1-1-122-1-2-2-1-1-2-22-2-2-1-1-1-1000000-2-2-2-20000000011111111111111202000000-1-1000
χ23222222-122222-12-1-1-12-1-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000022-1-1-1-1020-1-1-1-10000000
χ24222222-122222-12-1-1-12-1-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000022-1-1-1-10-2011110000000
χ25222222-122222-12-1-1-12-1-122-1-1-1222-1-12-2-2-1-111-111-1-1-1-12222-2-20000-1-1-1-1111100000000-2-211110-20-1-1110000000
χ26222222-122222-12-1-1-12-1-122-1-1-1222-1-12-2-2-1-111-111-1-1-1-1-2-2-2-22200001111-1-1-1-100000000-2-2111102011-1-10000000
χ27222222-12-2-222-12-1-1-1-2-1-122-1-1-1-2-2-211-200-1-1−i3i31−i3i311112-2-220000001111−i3−i3i3i30000000000−i3i3−i3i3000-1-1−i3i30000000
χ28222222-12-2-222-12-1-1-1-2-1-122-1-1-1-2-2-211-200-1-1−i3i31−i3i31111-222-2000000-1-1-1-1i3i3−i3−i30000000000−i3i3−i3i300011i3−i30000000
χ29222222-12-2-222-12-1-1-1-2-1-122-1-1-1-2-2-211-200-1-1i3−i31i3−i311112-2-220000001111i3i3−i3−i30000000000i3−i3i3−i3000-1-1i3−i30000000
χ30222222-12-2-222-12-1-1-1-2-1-122-1-1-1-2-2-211-200-1-1i3−i31i3−i31111-222-2000000-1-1-1-1−i3−i3i3i30000000000i3−i3i3−i300011−i3i30000000
χ312222-2-222-2-222222222-2-2-2-2222-222-2-2-200-2-200200-2-22222-2-200000022-2-20000000000000000000002-2000000000
χ322222-2-222-2-222222222-2-2-2-2222-222-2-2-200-2-200200-2-222-2-222000000-2-222000000000000000000000-22000000000
χ332222-2-22-122-1-12-122-1-2-2-211-1-1-1-11122-12-21122-2-2-2-1-11100000022-2-200000000-1-1-1-11111-11-1-11120-2000000-11000
χ342222-2-22-122-1-12-122-1-2-2-211-1-1-1-11122-12-21122-2-2-2-1-111000000-2-222000000001111-1-1-1-1-11-1-111-2020000001-1000
χ352222-2-22-122-1-12-122-1-2-2-211-1-1-1-11122-1-2211-2-2-222-1-11100000022-2-200000000-1-1-1-111111-111-1-1-2020000001-1000
χ362222-2-22-122-1-12-122-1-2-2-211-1-1-1-11122-1-2211-2-2-222-1-111000000-2-222000000001111-1-1-1-11-111-1-120-2000000-11000
χ372222-2-2-122222-12-1-1-1-211-2-2-1-1-12-2-2-1-122-211-1-1111-1-1112-22-222000011-1-1-1-1-1-1000000002-2-1-1110-20-11110000000
χ382222-2-2-122222-12-1-1-1-211-2-2-1-1-12-2-2-1-122-211-1-1111-1-111-22-22-2-20000-1-1111111000000002-2-1-1110201-1-1-10000000
χ392222-2-2-122222-12-1-1-1-211-2-2-1-1-12-2-2-1-12-2211111-1-1-1-1112-22-2-2-2000011-1-1111100000000-2211-1-1020-11-1-10000000
χ402222-2-2-122222-12-1-1-1-211-2-2-1-1-12-2-2-1-12-2211111-1-1-1-111-22-22220000-1-111-1-1-1-100000000-2211-1-10-201-1110000000
χ412222-2-2-12-2-222-12-1-1-1211-2-2-1-1-1-22211-20011−i3i3-1i3−i311-1-122-2-2000000-1-111−i3−i3i3i30000000000−i3i3i3−i3000-11i3−i30000000
χ422222-2-2-12-2-222-12-1-1-1211-2-2-1-1-1-22211-20011−i3i3-1i3−i311-1-1-2-22200000011-1-1i3i3−i3−i30000000000−i3i3i3−i30001-1−i3i30000000
χ432222-2-2-12-2-222-12-1-1-1211-2-2-1-1-1-22211-20011i3−i3-1−i3i311-1-122-2-2000000-1-111i3i3−i3−i30000000000i3−i3−i3i3000-11−i3i30000000
χ442222-2-2-12-2-222-12-1-1-1211-2-2-1-1-1-22211-20011i3−i3-1−i3i311-1-1-2-22200000011-1-1−i3−i3i3i30000000000i3−i3−i3i30001-1i3−i30000000
χ452-22-200222-2-22-2-22-2200000-2-222002-2-20000000002-20000002i−2i2i−2i0000002i−2i2i−2i2i2i−2i−2i000000000000000002-200000
χ462-22-200222-2-22-2-22-2200000-2-222002-2-20000000002-20000002i−2i−2i2i0000002i−2i2i−2i−2i−2i2i2i00000000000000000-2200000
χ472-22-200222-2-22-2-22-2200000-2-222002-2-20000000002-2000000−2i2i2i−2i000000−2i2i−2i2i2i2i−2i−2i00000000000000000-2200000
χ482-22-200222-2-22-2-22-2200000-2-222002-2-20000000002-2000000−2i2i−2i2i000000−2i2i−2i2i−2i−2i2i2i000000000000000002-200000
χ494444444-2-4-4-2-24-244-2-444-2-2-2-2-2222-4-4200-2-200-40022220000000000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-24411-2-2-2-2-2111100000000000000000000000000-2-2111100000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2-4-41122-22211110000000000000000000000000022-1-1-1-100000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222220011−2i32i32−2i32i3-1-1-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200112i3−2i322i3−2i3-1-1-1-10000000000000000000000000000−i3i3−i3i300000000000000
χ544444-4-44-2-4-4-2-24-244-24-4-422-2-2-22-2-2-4-4200220040022-2-20000000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-24-4-1-1-2-222211-1-100000000000000000000000000-2211-1-100000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-2-44-1-1222-2-211-1-1000000000000000000000000002-2-1-11100000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-222200-1-1−2i32i3-22i3−2i3-1-1110000000000000000000000000000i3−i3−i3i300000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-222200-1-12i3−2i3-2−2i32i3-1-1110000000000000000000000000000−i3i3i3−i300000000000000
χ5944-4-40044004-44-4-4-4400000-44-4000000000000000000000000000−2i22i2000000000000−2i2−2i22i22i200000000000000000000
χ6044-4-40044004-44-4-4-4400000-44-40000000000000000000000000002i2−2i20000000000002i22i2−2i2−2i200000000000000000000
χ6144-4-4004-200-2242-4-4-2000002-22023−230000000000000023−2300000000−2i22i200000000i6−i6i6−i6i2i2−i2−i200000000000000000000
χ6244-4-4004-200-2242-4-4-2000002-22023−230000000000000023−23000000002i2−2i200000000−i6i6−i6i6−i2−i2i2i200000000000000000000
χ6344-4-4004-200-2242-4-4-2000002-220−232300000000000000−232300000000−2i22i200000000−i6i6−i6i6i2i2−i2−i200000000000000000000
χ6444-4-4004-200-2242-4-4-2000002-220−232300000000000000−2323000000002i2−2i200000000i6−i6i6−i6−i2−i2i2i200000000000000000000
χ654-44-40044-44-44-4-44-4400000-4-44-400-444000000000-44000000000000000000000000000000000000000000000000
χ664-44-4004-24-42-2-424-4-20000022-2-2004-42000000000-22000000004i−4i0000000000−2i−2i2i2i000000000000000000000000
χ674-44-4004-24-42-2-424-4-20000022-2-2004-42000000000-2200000000−4i4i00000000002i2i−2i−2i000000000000000000000000
χ684-44-4004-2-442-2-424-4-20000022-2200-44-20000000002-2000000000000000000000000−2i32i3−2i32i300000000000000000000
χ694-44-4004-2-442-2-424-4-20000022-2200-44-20000000002-20000000000000000000000002i3−2i32i3−2i300000000000000000000
χ704-44-400-244-4-442-4-22-20000022-2400-22-4000000000-220000004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ714-44-400-244-4-442-4-22-20000022-2400-22-4000000000-22000000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ724-44-400-24-44-442-4-22-20000022-2-4002-240000000002-2000000000000000023−23−23230000000000000000000000000000
χ734-44-400-24-44-442-4-22-20000022-2-4002-240000000002-20000000000000000−232323−230000000000000000000000000000
χ744-4-444-44400-4-4-44-44404-44-44-4-4000000004-40000000000000000000000000000000000000000000000000000000
χ754-4-444-44-20022-4-2-44-204-4-22-22200000000-220000000000000000000000000006−6−666−6−6600000000000000000000
χ764-4-444-44-20022-4-2-44-204-4-22-22200000000-22000000000000000000000000000−666−6−666−600000000000000000000
χ774-4-444-4-2400-4-4242-2-20-224-4-22200000000-22000000000000000000023−2323−2300000000000000000000000000000000
χ784-4-444-4-2400-4-4242-2-20-224-4-22200000000-220000000000000000000−2323−232300000000000000000000000000000000
χ794-4-44-444400-4-4-44-4440-44-444-4-400000000-440000000000000000000000000000000000000000000000000000000
χ804-4-44-444-20022-4-2-44-20-442-2-222000000002-20000000000000000000000000006−6−66−666−600000000000000000000
χ814-4-44-444-20022-4-2-44-20-442-2-222000000002-2000000000000000000000000000−666−66−6−6600000000000000000000
χ824-4-44-44-2400-4-4242-2-202-2-44-222000000002-2000000000000000000023−23−232300000000000000000000000000000000
χ834-4-44-44-2400-4-4242-2-202-2-44-222000000002-20000000000000000000−232323−2300000000000000000000000000000000
χ8488-8-800-48008-8-4-844-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-400-44-4444200000-22-2043−4300000000000000−23230000000000000000000000000000000000000000000000
χ8688-8-800-4-400-44-4444200000-22-20−43430000000000000023−230000000000000000000000000000000000000000000000
χ878-88-800-4-48-84-444-44200000-2-22-400-4440000000002-2000000000000000000000000000000000000000000000000
χ888-88-800-4-4-884-444-44200000-2-224004-4-4000000000-22000000000000000000000000000000000000000000000000
χ898-8-888-8-4-400444-44-420-44-442-2-2000000002-20000000000000000000000000000000000000000000000000000000
χ908-8-88-88-4-400444-44-4204-44-42-2-200000000-220000000000000000000000000000000000000000000000000000000

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