Finite Group Databasebeta

← Group #11776359

Character table — Group #11776359

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122233444466666634666121212121212121212122244446666441212121212121212121212488881212121212121212121212124488121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111111-1-1-1-1-1-111-1-111-1-11111111-1111-1-1-1-1-1-111-1ii−i−i-1-1-1-1111-111-1-11-1i−i11-1-1ii−i−iii−i−iii−i−ii−i
χ10111111-1-1-1-111111111111-1-1-1-1-1-111-1-111-1-11111111-1111-1-1-1-1-1-111-1−i−iii-1-1-1-1111-111-1-11-1−ii11-1-1−i−iii−i−iii−i−iii−ii
χ11111111-1-1-1-111111111111-1-1-1-1-1-111-1-111-1-1111111-111-1-111-1-1-1-111-1ii−i−i-1-1-1-111-11-1-111-11−ii-1-111ii−i−i−i−iiiii−i−i−ii
χ12111111-1-1-1-111111111111-1-1-1-1-1-111-1-111-1-1111111-111-1-111-1-1-1-111-1−i−iii-1-1-1-111-11-1-111-11i−i-1-111−i−iiiii−i−i−i−iiii−i
χ13111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1111-1-1-1-1-1-1111ii−i−i1111-1-11-111-1-1-11i−i-1-111ii−i−iii−i−i−i−iii−ii
χ14111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1111-1-1-1-1-1-1111−i−iii1111-1-11-111-1-1-11−ii-1-111−i−iii−i−iiiii−i−ii−i
χ15111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111ii−i−i1111-1-1-11-1-1111-1−ii11-1-1ii−i−i−i−iii−i−iiii−i
χ16111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111−i−iii1111-1-1-11-1-1111-1i−i11-1-1−i−iiiii−i−iii−i−i−ii
χ172222222-2-222222222-22222-222-2-2-2-22-22222-2-2222200-2000022-2-2-2-2-2000022-2-2-2-20000000000000000000000000000
χ182222222-2-222222222-22222-222-2-2-2-22-2-2-2-2-222-2-2-2-200-2000022-2-2-2-220000-2-222220000000000000000000000000000
χ19222222-222-22222222-2222-22-2-222-2-2-2222-2-2-2-2222200-20000-2-222-2-220000-2-222-2-20000000000000000000000000000
χ20222222-222-22222222-2222-22-2-222-2-2-22-2-22222-2-2-2-200-20000-2-222-2-2-2000022-2-2220000000000000000000000000000
χ2122222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000000000
χ2222222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-122222222-1-1-1-1-2-221111-1-1-1-1-1-120000-1-1-1-1-1-1-2-21111-2-200111100000000000000
χ2322222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-122-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-2000011111122-1-1-1-1-2-200111100000000000000
χ2422222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-122-2-2-2-2-2-21111-2-221111-1-1-1-1-1-1-20000111111-2-211112200-1-1-1-100000000000000
χ2522222-12-2-2222-1-12-1-1-2-1-1-12-2-1-111112-22222-2-2-1-1-1-100-2−i3i3−i3i3-1-11111-20000-1-1111100−i3i3−i3i30000−i3i3−i3i300000000000000
χ2622222-12-2-2222-1-12-1-1-2-1-1-12-2-1-111112-22222-2-2-1-1-1-100-2i3−i3i3−i3-1-11111-20000-1-1111100i3−i3i3−i30000i3−i3i3−i300000000000000
χ2722222-12-2-2222-1-12-1-1-2-1-1-12-2-1-111112-2-2-2-2-222111100-2−i3i3−i3i3-1-111112000011-1-1-1-100−i3i3−i3i30000i3−i3i3−i300000000000000
χ2822222-12-2-2222-1-12-1-1-2-1-1-12-2-1-111112-2-2-2-2-222111100-2i3−i3i3−i3-1-111112000011-1-1-1-100i3−i3i3−i30000−i3i3−i3i300000000000000
χ2922222-1-222-222-1-12-1-1-2-1-1-1-2211-1-111-2222-2-2-2-2-1-1-1-100-2−i3i3i3−i311-1-1112000011-1-11100−i3i3i3−i30000−i3i3i3−i300000000000000
χ3022222-1-222-222-1-12-1-1-2-1-1-1-2211-1-111-2222-2-2-2-2-1-1-1-100-2i3−i3−i3i311-1-1112000011-1-11100i3−i3−i3i30000i3−i3−i3i300000000000000
χ3122222-1-222-222-1-12-1-1-2-1-1-1-2211-1-111-22-2-22222111100-2−i3i3i3−i311-1-111-20000-1-111-1-100−i3i3i3−i30000i3−i3−i3i300000000000000
χ3222222-1-222-222-1-12-1-1-2-1-1-1-2211-1-111-22-2-22222111100-2i3−i3−i3i311-1-111-20000-1-111-1-100i3−i3−i3i30000−i3i3i3−i300000000000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-2-21111-1-1-2-222-2-222-1-1-1-12-22-1-1111111-1-1-200001111-1-12-2-1-1112-200-1-11100000000000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-2-21111-1-1-2-222-2-222-1-1-1-1-22211-1-11111-1-1-200001111-1-1-2211-1-1-220011-1-100000000000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-2-21111-1-1-2-2-2-222-2-211112-22-1-1111111-1-120000-1-1-1-1112-2-1-111-220011-1-100000000000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-2-21111-1-1-2-2-2-222-2-21111-22211-1-11111-1-120000-1-1-1-111-2211-1-12-200-1-11100000000000000
χ372222-122222-1-122-12-12-1-1-1-1-1222222-1-1000000000022-12222-1-1-1-1-1-102222000000-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1000000
χ382222-122222-1-122-12-12-1-1-1-1-1222222-1-1000000000022-12222-1-1-1-1-1-10-2-2-2-2000000-1-1-1-1-1-100-2-2000011111111000000
χ392222-122222-1-122-12-12-1-1-1-1-1222222-1-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-10222200000011111100-2-20000-1-1-1-11111000000
χ402222-122222-1-122-12-12-1-1-1-1-1222222-1-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-10-2-2-2-2000000111111002200001111-1-1-1-1000000
χ412222-12-2-2-2-2-1-122-12-12-1-1-111-2-2-2-2221100000000002-2-122-2-21111-1-102i2i−2i−2i000000-11-1-111002i−2i0000−i−iii−i−iii000000
χ422222-12-2-2-2-2-1-122-12-12-1-1-111-2-2-2-2221100000000002-2-122-2-21111-1-10−2i−2i2i2i000000-11-1-11100−2i2i0000ii−i−iii−i−i000000
χ432222-12-2-2-2-2-1-122-12-12-1-1-111-2-2-2-222110000000000-22-1-2-2221111-1-102i2i−2i−2i0000001-111-1-100−2i2i0000−i−iiiii−i−i000000
χ442222-12-2-2-2-2-1-122-12-12-1-1-111-2-2-2-222110000000000-22-1-2-2221111-1-10−2i−2i2i2i0000001-111-1-1002i−2i0000ii−i−i−i−iii000000
χ4522-2-222200-22-22-2-2-2202-2-2202-20000-202-22-20022-2-200000002-2000002−22−22-20000000000000000002−22−200002−22−200
χ4622-2-222200-22-22-2-2-2202-2-2202-20000-202-22-20022-2-200000002-200000−22−222-2000000000000000000−22−220000−22−2200
χ4722-2-222200-22-22-2-2-2202-2-2202-20000-20-22-2200-2-22200000002-2000002−22−2-220000000000000000002−22−20000−22−2200
χ4822-2-222200-22-22-2-2-2202-2-2202-20000-20-22-2200-2-22200000002-200000−22−22-22000000000000000000−22−2200002−22−200
χ4922-2-222-20022-22-2-2-2202-2-2-20-220000202-2-220022-2-20000000-2200000−i2i2i2−i2-22000000000000000000−i2i2i2−i20000−i2i2i2−i200
χ5022-2-222-20022-22-2-2-2202-2-2-20-220000202-2-220022-2-20000000-2200000i2−i2−i2i2-22000000000000000000i2−i2−i2i20000i2−i2−i2i200
χ5122-2-222-20022-22-2-2-2202-2-2-20-22000020-222-200-2-2220000000-2200000−i2i2i2−i22-2000000000000000000−i2i2i2−i20000i2−i2−i2i200
χ5222-2-222-20022-22-2-2-2202-2-2-20-22000020-222-200-2-2220000000-2200000i2−i2−i2i22-2000000000000000000i2−i2−i2i20000−i2i2i2−i200
χ534444-244-4-44-2-244-24-2-4-2-2-2-2244-4-4-4-4-2200000000000020000-2-22222000000000000000000000000000000000000000
χ544444-24-444-4-2-244-24-2-4-2-2-22-2-4-444-4-42-20000000000002000022-2-222000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-4-222221111110000000000022-1-1-1-10000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-21-4111-22-2-22222-220000000000002−2i32i3−2i32i311-1-1-1-10000000000000i3−i3i3−i30000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-21-4111-22-2-22222-2200000000000022i3−2i32i3−2i311-1-1-1-10000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-21-41112-222-2-2222-20000000000002−2i32i32i3−2i3-1-111-1-10000000000000i3−i3−i3i30000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-21-41112-222-2-2222-200000000000022i3−2i3−2i32i3-1-111-1-10000000000000−i3i3i3−i30000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-22200000000004-4-2-2-222-1-1-1-11100000000000-2211-1-10000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-2220000000000-44-222-2-2-1-1-1-111000000000002-2-1-1110000000000000000000000
χ6344-4-44-2400-44-4-22-42-20-22240-220000-404-44-400-2-2220000000-22000000000-2200000000000000000000000000000000
χ6444-4-44-2400-44-4-22-42-20-22240-220000-40-44-440022-2-20000000-220000000002-200000000000000000000000000000000
χ6544-4-44-2-40044-4-22-42-20-222-402-20000404-4-4400-2-22200000002-20000000002-200000000000000000000000000000000
χ6644-4-44-2-40044-4-22-42-20-222-402-2000040-444-40022-2-200000002-2000000000-2200000000000000000000000000000000
χ6744-4-4-24400-4-224-42-4-20-222-204-400002000000000000000000-220000022−2222−2200000000000000000000−22−220000000000
χ6844-4-4-24400-4-224-42-4-20-222-204-400002000000000000000000-2200000−2222−2222000000000000000000002−22−20000000000
χ6944-4-4-24-4004-224-42-4-20-22220-440000-20000000000000000002-200000−2i22i22i2−2i200000000000000000000i2−i2−i2i20000000000
χ7044-4-4-24-4004-224-42-4-20-22220-440000-20000000000000000002-2000002i2−2i2−2i22i200000000000000000000−i2i2i2−i20000000000
χ714-44-44404-40-44-44-4-440-44-40-4004-4000400000000000000000004-400000000000000000000000000000000000000000
χ724-44-4440-440-44-44-4-440-44-40400-44000-40000000000000000000-4400000000000000000000000000000000000000000
χ734-44-44-204-40-442-2-42-202-220-400-220004000000−2i32i3−2i32i3000000000-22000000000−2i32i3000000000000000000000000000000
χ744-44-44-204-40-442-2-42-202-220-400-2200040000002i3−2i32i3−2i3000000000-220000000002i3−2i3000000000000000000000000000000
χ754-44-44-20-440-442-2-42-202-2204002-2000-4000000−2i32i3−2i32i30000000002-20000000002i3−2i3000000000000000000000000000000
χ764-44-44-20-440-442-2-42-202-2204002-2000-40000002i3−2i32i3−2i30000000002-2000000000−2i32i3000000000000000000000000000000
χ774-44-4-2404-402-2-442-4-202-2202004-4000-20000000000000000000-2200000000000000000000000000000006−66−6000000
χ784-44-4-2404-402-2-442-4-202-2202004-4000-20000000000000000000-220000000000000000000000000000000−66−66000000
χ794-44-4-240-4402-2-442-4-202-220-200-44000200000000000000000002-20000000000000000000000000000000i6−i6−i6i6000000
χ804-44-4-240-4402-2-442-4-202-220-200-44000200000000000000000002-20000000000000000000000000000000−i6i6i6−i6000000
χ814-4-44440000-4-4-4-44440-4-44000000000000004-4000000000000000000000000004-40000000000000000000000000000
χ824-4-44440000-4-4-4-44440-4-4400000000000000-4400000000000000000000000000-440000000000000000000000000000
χ834-4-444-20000-4-4224-2-2022-2000000−2i32i30000004-4−2i32i32i3−2i300000000000−2i32i3000000000-220000000000000000000000000000
χ844-4-444-20000-4-4224-2-2022-2000000−2i32i3000000-442i3−2i3−2i32i300000000000−2i32i30000000002-20000000000000000000000000000
χ854-4-444-20000-4-4224-2-2022-20000002i3−2i30000004-42i3−2i3−2i32i3000000000002i3−2i3000000000-220000000000000000000000000000
χ864-4-444-20000-4-4224-2-2022-20000002i3−2i3000000-44−2i32i32i3−2i3000000000002i3−2i30000000002-20000000000000000000000000000
χ8788-8-8-4-4800-8-44-4444202-2-2-40-44000040000000000000000002-20000000000000000000000000000000000000000000
χ8888-8-8-4-4-8008-44-4444202-2-2404-40000-4000000000000000000-220000000000000000000000000000000000000000000
χ898-88-8-4-408-804-44-44420-22-20400-44000-400000000000000000002-200000000000000000000000000000000000000000
χ908-88-8-4-40-8804-44-44420-22-20-4004-400040000000000000000000-2200000000000000000000000000000000000000000
χ918-8-88-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004444-4-420-2-22000000−4i34i3000000000000000000000002i3−2i3000000000000000000000000000000000000000
χ938-8-88-4-400004444-4-420-2-220000004i3−4i300000000000000000000000−2i32i3000000000000000000000000000000000000000

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