Finite Group Databasebeta

← Group #11865857

Character table — Group #11865857

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212224444121212124412121212121212121212122244466121212121212121212122266666688121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1
χ91111111-1-111111111-1111-1-1-1-11-1-11111111-1-111111-1-111-1-1-1-1-1-11111-1-1-111-1-1-1-11-111-1-11-11111-1-11-1-1-111-1-111-1-11-1
χ101111111-1-111111111-1111-1-1-1-11-1-11111111-1-111111-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-11-111-1-11-1-1-111-1-1-1111-1-111-1-111-11
χ111111111-1-111111111-1111-1-1-1-11-1-11111111-1-11111-11-1-1-111-1-1-1-11111-1-1-111-1-1-1-1-11-1-111-1111-1-111-11-1-1-1-11111-1-1-11
χ121111111-1-111111111-1111-1-1-1-11-1-11111111-1-11111-11-1-1-111-1-1-1-111-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1111-11111-1-1-1-1111-1
χ131111111-1-111111111-1111-1-1-1-11-1-1111-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111111-1-1-1-111111-111-1-1-1111-1-1111-1-1-111-1-1-1-111-11
χ141111111-1-111111111-1111-1-1-1-11-1-1111-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111-1-1111-1-111111-111-1-1-11-1-1-1-111-1111-1-11111-1-11-1
χ151111111-1-111111111-1111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-11111-11-1-1111-11111-1-1-11-1-1-1-111-1-1111-1
χ161111111-1-111111111-1111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-11111-11-1-1111-1-1-111-1-11-11111-1-111-1-1-11
χ17222222-222-22222222-222222-2-2-222-2-2-222-2-222-2-2-2-200-2000022-2-2-2-200-2002222-2-20000000000000000000000000000
χ18222222-222-22222222-222222-2-2-222-2-2-2-2-222-2-2222200-2000022-2-2-2-200200-2-2-2-2220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-20020000-2-222-2-20020022-2-2220000000000000000000000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-2222222220020000-2-222-2-200-200-2-222-2-20000000000000000000000000000
χ2122222-122222-1-122-1-12-1-1-1-1-1-1-1222-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100200-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000000000
χ2222222-122222-1-122-1-12-1-1-1-1-1-1-1222-1-12222222-1-1-1-1-2-221111-1-1-1-1-1-100200-1-1-1-1-1-1-2-21111-2-200111100000000000000
χ2322222-122222-1-122-1-12-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-100-20011111122-1-1-1-1-2-200111100000000000000
χ2422222-122222-1-122-1-12-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111-2-221111-1-1-1-1-1-100-200111111-2-211112200-1-1-1-100000000000000
χ2522222-12-2-222-1-122-1-1-2-1-1-111112-2-2-1-122222-2-2-1-1-1-12-2-2-1-1111111-1-100-200-1-111112-2-1-1112-200-1-11100000000000000
χ2622222-12-2-222-1-122-1-1-2-1-1-111112-2-2-1-122222-2-2-1-1-1-1-22-211-1-11111-1-100-200-1-11111-2211-1-1-220011-1-100000000000000
χ2722222-12-2-222-1-122-1-1-2-1-1-111112-2-2-1-12-2-2-2-22211112-2-2-1-1111111-1-10020011-1-1-1-12-2-1-111-220011-1-100000000000000
χ2822222-12-2-222-1-122-1-1-2-1-1-111112-2-2-1-12-2-2-2-2221111-22-211-1-11111-1-10020011-1-1-1-1-2211-1-12-200-1-11100000000000000
χ2922222-1-222-22-1-122-1-1-2-1-1-1-1-111-22211-222-2-222111100-2−i3i3−i3i3-1-1111100-200-1-1-1-11100−i3i3−i3i30000−i3i3−i3i300000000000000
χ3022222-1-222-22-1-122-1-1-2-1-1-1-1-111-22211-222-2-222111100-2i3−i3i3−i3-1-1111100-200-1-1-1-11100i3−i3i3−i30000i3−i3i3−i300000000000000
χ3122222-1-222-22-1-122-1-1-2-1-1-1-1-111-22211-2-2-222-2-2-1-1-1-100-2−i3i3−i3i3-1-11111002001111-1-100−i3i3−i3i30000i3−i3i3−i300000000000000
χ3222222-1-222-22-1-122-1-1-2-1-1-1-1-111-22211-2-2-222-2-2-1-1-1-100-2i3−i3i3−i3-1-11111002001111-1-100i3−i3i3−i30000−i3i3−i3i300000000000000
χ3322222-1-2-2-2-22-1-122-1-12-1-1-111-1-1-2-2-211-222-2-2-2-21111002−i3i3i3−i311-1-11100200-1-111-1-100−i3i3i3−i30000−i3i3i3−i300000000000000
χ3422222-1-2-2-2-22-1-122-1-12-1-1-111-1-1-2-2-211-222-2-2-2-21111002i3−i3−i3i311-1-11100200-1-111-1-100i3−i3−i3i30000i3−i3−i3i300000000000000
χ3522222-1-2-2-2-22-1-122-1-12-1-1-111-1-1-2-2-211-2-2-22222-1-1-1-1002−i3i3i3−i311-1-11100-20011-1-11100−i3i3i3−i30000i3−i3−i3i300000000000000
χ3622222-1-2-2-2-22-1-122-1-12-1-1-111-1-1-2-2-211-2-2-22222-1-1-1-1002i3−i3−i3i311-1-11100-20011-1-11100i3−i3−i3i30000−i3i3i3−i300000000000000
χ372222-122222-122-1-12-12-1-1-12222-1-1-122-1000000000022-12222-1-1-1-1-1-122022000000-1-1-1-1-1-100-1-1000022-1-1-1-1-1-1000000
χ382222-122222-122-1-12-12-1-1-12222-1-1-122-1000000000022-12222-1-1-1-1-1-1-2-20-2-2000000-1-1-1-1-1-100110000-2-2111111000000
χ392222-122222-122-1-12-12-1-1-12222-1-1-122-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-12202200000011111100-1-10000-2-2-1-11111000000
χ402222-122222-122-1-12-12-1-1-12222-1-1-122-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-1-2-20-2-2000000111111001100002211-1-1-1-1000000
χ412222-122-2-22-122-1-12-1-2-1-1-1-2-2-2-2-11122-100000000002-2122-2-21111-1-1220-2-2000000-11-1-11100-1-100002-211-1-111000000
χ422222-122-2-22-122-1-12-1-2-1-1-1-2-2-2-2-11122-100000000002-2122-2-21111-1-1-2-2022000000-11-1-11100110000-22-1-111-1-1000000
χ432222-122-2-22-122-1-12-1-2-1-1-1-2-2-2-2-11122-10000000000-221-2-2221111-1-1220-2-20000001-111-1-100-1-10000-221111-1-1000000
χ442222-122-2-22-122-1-12-1-2-1-1-1-2-2-2-2-11122-10000000000-221-2-2221111-1-1-2-20220000001-111-1-1001100002-2-1-1-1-111000000
χ452-22-222200-2-2-2-22-2220-2-2200002002-2-22-22-20022-2-2000000000002-20002i−2i2-2000000000000000000002i−2i0000002i−2i00
χ462-22-222200-2-2-2-22-2220-2-2200002002-2-22-22-20022-2-2000000000002-2000−2i2i2-200000000000000000000−2i2i000000−2i2i00
χ472-22-222200-2-2-2-22-2220-2-2200002002-2-2-22-2200-2-222000000000002-20002i−2i-22000000000000000000002i−2i000000−2i2i00
χ482-22-222200-2-2-2-22-2220-2-2200002002-2-2-22-2200-2-222000000000002-2000−2i2i-2200000000000000000000−2i2i0000002i−2i00
χ492-22-222-2002-2-2-22-2220-2-220000-200-2222-2-2200-2-22200000000000-222-20002-20000000000002-20000000000002-20000
χ502-22-222-2002-2-2-22-2220-2-220000-200-2222-2-2200-2-22200000000000-22-220002-2000000000000-22000000000000-220000
χ512-22-222-2002-2-2-22-2220-2-220000-200-222-222-20022-2-200000000000-222-2000-220000000000002-2000000000000-220000
χ522-22-222-2002-2-2-22-2220-2-220000-200-222-222-20022-2-200000000000-22-22000-22000000000000-220000000000002-20000
χ534444-24-444-4-244-2-24-2-4-2-2-244-4-42-2-2-4-4200000000000020000-2-22222000000000000000000000000000000000000000
χ544444-24-4-4-4-4-244-2-24-24-2-2-2-4-444222-4-42000000000000-2000022-2-222000000000000000000000000000000000000000
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
χ574444-2-24-4-44-2-2-2-2-2-21-41112222-222-2-2-200000000004-42-2-222-1-1-1-11100000000000-2211-1-10000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-21-41112222-222-2-2-20000000000-44222-2-2-1-1-1-111000000000002-2-1-1110000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-21-4111-2-2222-2-22220000000000002−2i32i3−2i32i311-1-1-1-10000000000000i3−i3i3−i30000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-21-4111-2-2222-2-222200000000000022i3−2i32i3−2i311-1-1-1-10000000000000−i3i3−i3i30000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000000000-2−2i32i32i3−2i3-1-111-1-10000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000000000-22i3−2i3−2i32i3-1-111-1-10000000000000−i3i3i3−i30000000000000000000000
χ6344-4-444000044-4-4-4-4404-4-4000000000000004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ6444-4-444000044-4-4-4-4404-4-400000000000000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ6544-4-44-200004-22-4-42-20-22200−2i32i300000000004i−4i23−2323−23000000000−2i32i3000000000−2i2i000000000000000000000000000000
χ6644-4-44-200004-22-4-42-20-22200−2i32i30000000000−4i4i−2323−2323000000000−2i32i30000000002i−2i000000000000000000000000000000
χ6744-4-44-200004-22-4-42-20-222002i3−2i300000000004i−4i−2323−23230000000002i3−2i3000000000−2i2i000000000000000000000000000000
χ6844-4-44-200004-22-4-42-20-222002i3−2i30000000000−4i4i23−2323−230000000002i3−2i30000000002i−2i000000000000000000000000000000
χ694-44-44-2400-4-4224-4-2-2022-20000400-22-44-44-400-2-22200000000000-2200000-2200000000000000000000000000000000
χ704-44-44-2400-4-4224-4-2-2022-20000400-22-4-44-440022-2-200000000000-22000002-200000000000000000000000000000000
χ714-44-44-2-4004-4224-4-2-2022-20000-4002-244-4-440022-2-2000000000002-200000-2200000000000000000000000000000000
χ724-44-44-2-4004-4224-4-2-2022-20000-4002-24-444-400-2-222000000000002-2000002-200000000000000000000000000000000
χ734-44-4-24400-42-4-4-224-2022-20000-2004-42000000000000000000000-220004i−4i0000000000000000000000−2i2i0000000000
χ744-44-4-24400-42-4-4-224-2022-20000-2004-42000000000000000000000-22000−4i4i00000000000000000000002i−2i0000000000
χ754-44-4-24-40042-4-4-224-2022-20000200-44-20000000000000000000002-24-400000000000000000-22000000000000000000
χ764-44-4-24-40042-4-4-224-2022-20000200-44-20000000000000000000002-2-44000000000000000002-2000000000000000000
χ774-4-444404-40-4-44-44-440-44-44-40004-4000000000000000000004-40000000000000000000000000000000000000000000
χ784-4-44440-440-4-44-44-440-44-4-44000-4400000000000000000000-440000000000000000000000000000000000000000000
χ794-4-444-204-40-42-2-442-202-22-220004-400000000023−23−23230000000-22000000000000023−230000000000000000000000000000
χ804-4-444-204-40-42-2-442-202-22-220004-4000000000−232323−230000000-220000000000000−23230000000000000000000000000000
χ814-4-444-20-440-42-2-442-202-222-2000-4400000000023−23−232300000002-20000000000000−23230000000000000000000000000000
χ824-4-444-20-440-42-2-442-202-222-2000-44000000000−232323−2300000002-2000000000000023−230000000000000000000000000000
χ834-4-44-2404-402-442-2-4-202-224-4000-2200000000000000000000-220000000000000000000000000000000006−66−6000000
χ844-4-44-2404-402-442-2-4-202-224-4000-2200000000000000000000-22000000000000000000000000000000000−66−66000000
χ854-4-44-240-4402-442-2-4-202-22-440002-2000000000000000000002-20000000000000000000000000000000006−6−66000000
χ864-4-44-240-4402-442-2-4-202-22-440002-2000000000000000000002-2000000000000000000000000000000000−666−6000000
χ8788-8-8-480000-48-844-8-40-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-4-44444202-2-200−4i34i300000000000000000000000002i3−2i300000000000000000000000000000000000000000
χ8988-8-8-4-40000-4-44444202-2-2004i3−4i30000000000000000000000000−2i32i300000000000000000000000000000000000000000
χ908-88-8-4-4800-8444-44-420-2-220000-400-4440000000000000000000002-2000000000000000000000000000000000000000
χ918-88-8-4-4-8008444-44-420-2-2200004004-4-4000000000000000000000-22000000000000000000000000000000000000000
χ928-8-88-4-408-8044-44-4420-22-2-44000-44000000000000000000002-20000000000000000000000000000000000000000000
χ938-8-88-4-40-88044-44-4420-22-24-40004-400000000000000000000-220000000000000000000000000000000000000000000

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