Finite Group Databasebeta

← Group #11865889

Character table — Group #11865889

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212224444121212122466121212121212121212224446612121212666121212246666881212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1-1-11-1-1111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1111111-1-111-1-11111-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1
χ91111111-1-111111111-11111-1-1-1-1-1-11111111-1-111111-111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-11-1
χ101111111-1-111111111-11111-1-1-1-1-1-11111111-1-111111-111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-1-111111-1-111-1-111-11
χ111111111-1-111111111-11111-1-1-1-1-1-11111111-1-11111-11-1-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-11111-11-1-1-1-1-1-11111-1-1-11
χ121111111-1-111111111-11111-1-1-1-1-1-11111111-1-11111-11-1-1-111-1-1-1-111-1-1-11111-1-1-1-1-1-1-11111-1-1-1111-111-1-111-1-1-1-1111-1
χ131111111-1-111111111-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-11-111111-1-1-1-1-111-1-1-1-111-11
χ141111111-1-111111111-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-111-1-1111-1-11111111-1-1-11-1-1-111-1111-1-1-1-11111-1-11-1
χ151111111-1-111111111-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1111-1111-1-1-11-1-111-1-111-1-1111-1
χ161111111-1-111111111-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-11111-1-1-1111-11-1-1-1-11-1111111-1-111-1-1-11
χ17222222-222-22222222-2222-222-2-222-2-2-222-2-222-2-2-2-20000-20022-2-2-2-200-2002222-2-20000000000000000000000000000
χ18222222-222-22222222-2222-222-2-222-2-2-2-2-222-2-222220000-20022-2-2-2-200200-2-2-2-2220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-222-2-2-2-2-222-2-2-2-2-2-2-2-20000200-2-222-2-20020022-2-2220000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-222-2-2-2-2-2-2-2222222220000200-2-222-2-200-200-2-222-2-20000000000000000000000000000
χ2122222-1222222-1-12-1-12-1-1-12-1-1-1-122-1-12222222-1-1-1-122-1-12-1-1-1-1-1-1-1-100200-1-1-1-1-1-12-1-12-1-12200-1-10000-1-10000000000
χ2222222-1222222-1-12-1-12-1-1-12-1-1-1-122-1-12222222-1-1-1-1-2-211211-1-1-1-1-1-100200-1-1-1-1-1-1-211-211-2-200110000110000000000
χ2322222-1222222-1-12-1-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-2111122-1-12-1-1-1-1-1-1-1-100-2001111112-1-12-1-1-2-200110000110000000000
χ2422222-1222222-1-12-1-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-21111-2-211211-1-1-1-1-1-100-200111111-211-2112200-1-10000-1-10000000000
χ2522222-12-2-2222-1-12-1-1-2-1-1-121111-2-2-1-122222-2-2-1-1-1-12-2-1-1-2111111-1-100-200-1-111112-1-1-211-2200110000-1-10000000000
χ2622222-12-2-2222-1-12-1-1-2-1-1-121111-2-2-1-122222-2-2-1-1-1-1-2211-2-1-11111-1-100-200-1-11111-2112-1-12-200-1-10000110000000000
χ2722222-12-2-2222-1-12-1-1-2-1-1-121111-2-2-1-12-2-2-2-22211112-2-1-1-2111111-1-10020011-1-1-1-12-1-1-2112-200-1-10000110000000000
χ2822222-12-2-2222-1-12-1-1-2-1-1-121111-2-2-1-12-2-2-2-2221111-2211-2-1-11111-1-10020011-1-1-1-1-2112-1-1-2200110000-1-10000000000
χ2922222-1-222-222-1-12-1-1-2-1-1-1-2-1-1112211-222-2-222111100−i3i3-2−i3i3-1-1111100-200-1-1-1-1110−i3i30−i3i30000−i3i30000−i3i30000000000
χ3022222-1-222-222-1-12-1-1-2-1-1-1-2-1-1112211-222-2-222111100i3−i3-2i3−i3-1-1111100-200-1-1-1-1110i3−i30i3−i30000i3−i30000i3−i30000000000
χ3122222-1-222-222-1-12-1-1-2-1-1-1-2-1-1112211-2-2-222-2-2-1-1-1-100−i3i3-2−i3i3-1-11111002001111-1-10−i3i30−i3i30000i3−i30000i3−i30000000000
χ3222222-1-222-222-1-12-1-1-2-1-1-1-2-1-1112211-2-2-222-2-2-1-1-1-100i3−i3-2i3−i3-1-11111002001111-1-10i3−i30i3−i30000−i3i30000−i3i30000000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-211-1-1-2-211-222-2-2-2-2111100−i3i32i3−i311-1-11100200-1-111-1-10−i3i30i3−i30000i3−i30000−i3i30000000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-211-1-1-2-211-222-2-2-2-2111100i3−i32−i3i311-1-11100200-1-111-1-10i3−i30−i3i30000−i3i30000i3−i30000000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-211-1-1-2-211-2-2-22222-1-1-1-100−i3i32i3−i311-1-11100-20011-1-1110−i3i30i3−i30000−i3i30000i3−i30000000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-211-1-1-2-211-2-2-22222-1-1-1-100i3−i32−i3i311-1-11100-20011-1-1110i3−i30−i3i30000i3−i30000−i3i30000000000
χ372222-122222-1-122-12-12-1-1-1-12222-1-122-100000000002222-122-1-1-1-1-1-122022000000-1-1-1-1-1-100-1-10022-1-100-1-1-1-1000000
χ382222-122222-1-122-12-12-1-1-1-12222-1-122-100000000002222-122-1-1-1-1-1-1-2-20-2-2000000-1-1-1-1-1-1001100-2-211001111000000
χ392222-122222-1-122-12-12-1-1-1-12222-1-122-10000000000-2-2-2-2-1-2-2-1-1-1-1-1-12202200000011111100-1-100-2-2-1-1001111000000
χ402222-122222-1-122-12-12-1-1-1-12222-1-122-10000000000-2-2-2-2-1-2-2-1-1-1-1-1-1-2-20-2-2000000111111001100221100-1-1-1-1000000
χ412222-122-2-22-1-122-12-1-2-1-1-1-1-2-2-2-21122-100000000002-2221-2-21111-1-1220-2-2000000-1-1-111100-1-1002-21100-1-111000000
χ422222-122-2-22-1-122-12-1-2-1-1-1-1-2-2-2-21122-100000000002-2221-2-21111-1-1-2-2022000000-1-1-1111001100-22-1-10011-1-1000000
χ432222-122-2-22-1-122-12-1-2-1-1-1-1-2-2-2-21122-10000000000-22-2-21221111-1-1220-2-2000000111-1-1-100-1-100-22110011-1-1000000
χ442222-122-2-22-1-122-12-1-2-1-1-1-1-2-2-2-21122-10000000000-22-2-21221111-1-1-2-2022000000111-1-1-10011002-2-1-100-1-111000000
χ452-22-222200-2-22-2-2-2220-2-2220000002-2-22-22-20022-2-2000000000002-20002i−2i2-20000000000000000002i−2i000000002i−2i00
χ462-22-222200-2-22-2-2-2220-2-2220000002-2-22-22-20022-2-2000000000002-2000−2i2i2-2000000000000000000−2i2i00000000−2i2i00
χ472-22-222200-2-22-2-2-2220-2-2220000002-2-2-22-2200-2-222000000000002-20002i−2i-220000000000000000002i−2i00000000−2i2i00
χ482-22-222200-2-22-2-2-2220-2-2220000002-2-2-22-2200-2-222000000000002-2000−2i2i-22000000000000000000−2i2i000000002i−2i00
χ492-22-222-2002-22-2-2-2220-2-22-2000000-2222-2-2200-2-22200000000000-222-20002-20000000000002-20000000000002-20000
χ502-22-222-2002-22-2-2-2220-2-22-2000000-2222-2-2200-2-22200000000000-22-220002-2000000000000-22000000000000-220000
χ512-22-222-2002-22-2-2-2220-2-22-2000000-222-222-20022-2-200000000000-222-2000-220000000000002-2000000000000-220000
χ522-22-222-2002-22-2-2-2220-2-22-2000000-222-222-20022-2-200000000000-22-22000-22000000000000-220000000000002-20000
χ534444-24-444-4-2-244-24-2-4-2-2-2244-4-4-2-2-4-4200000000000000200-2-22222000000000000000000000000000000000000000
χ544444-24-4-4-4-4-2-244-24-24-2-2-22-4-44422-4-4200000000000000-20022-2-222000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-211-2110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-422-222111111000000000002-1-12-1-10000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-21-4111-2222222-2-2-200000000004-4-2-2222-1-1-1-11100000000000-2112-1-10000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-21-4111-2222222-2-2-20000000000-44222-2-2-1-1-1-111000000000002-1-1-2110000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-21-41112-2-222-2-2222000000000000−2i32i32−2i32i311-1-1-1-1000000000000i3−i30i3−i30000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-21-41112-2-222-2-22220000000000002i3−2i322i3−2i311-1-1-1-1000000000000−i3i30−i3i30000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-214111222-2-222222000000000000−2i32i3-22i3−2i3-1-111-1-1000000000000i3−i30−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-214111222-2-2222220000000000002i3−2i3-2−2i32i3-1-111-1-1000000000000−i3i30i3−i30000000000000000000000
χ6344-4-44404i−4i04-44-4-4-4404-4-404i−4i004i−4i000000000000000000004i−4i0000000000000000000000000000000000000000000
χ6444-4-4440−4i4i04-44-4-4-4404-4-40−4i4i00−4i4i00000000000000000000−4i4i0000000000000000000000000000000000000000000
χ6544-4-44-204i−4i04-4-22-42-20-2220−2i2i004i−4i00000000023−2323−230000000−2i2i0000000000000−2i32i30000000000000000000000000000
χ6644-4-44-204i−4i04-4-22-42-20-2220−2i2i004i−4i000000000−2323−23230000000−2i2i00000000000002i3−2i30000000000000000000000000000
χ6744-4-44-20−4i4i04-4-22-42-20-22202i−2i00−4i4i00000000023−2323−2300000002i−2i00000000000002i3−2i30000000000000000000000000000
χ6844-4-44-20−4i4i04-4-22-42-20-22202i−2i00−4i4i000000000−2323−232300000002i−2i0000000000000−2i32i30000000000000000000000000000
χ6944-4-4-2404i−4i0-224-42-4-20-22204i−4i00−2i2i00000000000000000000−2i2i000000000000000000000000000000000i6−i66−6000000
χ7044-4-4-2404i−4i0-224-42-4-20-22204i−4i00−2i2i00000000000000000000−2i2i000000000000000000000000000000000−i6i6−66000000
χ7144-4-4-240−4i4i0-224-42-4-20-2220−4i4i002i−2i000000000000000000002i−2i000000000000000000000000000000000i6−i6−66000000
χ7244-4-4-240−4i4i0-224-42-4-20-2220−4i4i002i−2i000000000000000000002i−2i000000000000000000000000000000000−i6i66−6000000
χ734-44-44-2400-4-4422-4-2-2022-24000000-22-44-44-400-2-22200000000000-2200000-2200000000000000000000000000000000
χ744-44-44-2400-4-4422-4-2-2022-24000000-22-4-44-440022-2-200000000000-22000002-200000000000000000000000000000000
χ754-44-44-2-4004-4422-4-2-2022-2-40000002-244-4-440022-2-2000000000002-200000-2200000000000000000000000000000000
χ764-44-44-2-4004-4422-4-2-2022-2-40000002-24-444-400-2-222000000000002-2000002-200000000000000000000000000000000
χ774-44-4-24400-42-2-4-424-2022-2-20000004-42000000000000000000000-220004i−4i00000000000000000000−2i2i000000000000
χ784-44-4-24400-42-2-4-424-2022-2-20000004-42000000000000000000000-22000−4i4i000000000000000000002i−2i000000000000
χ794-44-4-24-40042-2-4-424-2022-22000000-44-20000000000000000000002-24-400000000000000000-22000000000000000000
χ804-44-4-24-40042-2-4-424-2022-22000000-44-20000000000000000000002-2-44000000000000000002-2000000000000000000
χ814-4-44440000-4-4-444-440-44-4000000000000004-40000000000000000000000004-4000000000000000000000000000000
χ824-4-44440000-4-4-444-440-44-400000000000000-44000000000000000000000000-44000000000000000000000000000000
χ834-4-444-20000-4-42-242-202-2200023−230000000004-423−23−232300000000023−23000000000-22000000000000000000000000000000
χ844-4-444-20000-4-42-242-202-2200023−23000000000-44−232323−2300000000023−230000000002-2000000000000000000000000000000
χ854-4-444-20000-4-42-242-202-22000−23230000000004-4−232323−23000000000−2323000000000-22000000000000000000000000000000
χ864-4-444-20000-4-42-242-202-22000−2323000000000-4423−23−2323000000000−23230000000002-2000000000000000000000000000000
χ8788-8-8-4-408i−8i0-44-4444202-2-20−4i4i00−4i4i000000000000000000002i−2i0000000000000000000000000000000000000000000
χ8888-8-8-4-40−8i8i0-44-4444202-2-204i−4i004i−4i00000000000000000000−2i2i0000000000000000000000000000000000000000000
χ898-88-8-4-4800-84-4444-420-2-22-4000000-4440000000000000000000002-2000000000000000000000000000000000000000
χ908-88-8-4-4-80084-4444-420-2-2240000004-4-4000000000000000000000-22000000000000000000000000000000000000000
χ918-8-88-48000044-88-4-8-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-4-4420-22-200043−43000000000000000000000000−232300000000000000000000000000000000000000000
χ938-8-88-4-40000444-4-4420-22-2000−434300000000000000000000000023−2300000000000000000000000000000000000000000

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