Finite Group Databasebeta

← Group #11872849

Character table — Group #11872849

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666634466612121212121244444412121212121212121212121212222444881212121212121212121244666812121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-11111-111-1-1-1-1111111-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1111111111111-1-1-1
χ9111111111111111-1-11111-1-111111111-1-1-1-111-1-111-1-1-1-1-111-1-1-1111111-1111-1-11-1-111-1-1-1-111-1-111-1-1-1-11111-1
χ10111111111111111-1-11111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-11111-1111-1-11-1-1-1-1111-111-1-1-1-11111-1-1-1-11
χ11111111111111111-1-11111-1-11111111-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-111111-1-1-111-11-1111-1-1-1-1-111-1-111-1-111-1-11
χ12111111111111111-1-11111-1-11111111-11-1-1-1-1-11111-1-1-1-1-1-1-111-11111111-1-1-111-11-1-1-1-111-1-1-11111-1-111-1-111-1
χ13111111111111111-1-11111-1-1111-1-1-1-11-1-1-1-111-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-1-1-11111-1-1-11-1-11111-1-111-1-1-1-11
χ14111111111111111-1-11111-1-1111-1-1-1-11-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-1111-1-1-111-1-11111-1-111-1-111-1-11111-1
χ15111111111111111-1-11111-1-1111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-11-1-1-1111-11111-1-1111-1-1-1-11111-1-111-1
χ16111111111111111-1-11111-1-1111-1-1-1-1-11-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-11-1-1-1111-11-1-1-111111-1-111-1-1-1-111-1-11
χ17222222-2-222222222-2222-222-2-2-222-2-200-22-20000-2-222-2-2-2000020022-2-200000000-2000002000000000000000
χ18222222-2-222222222-2222-222-2-2-2-2-22200-22-20000-2-222-2-220000-200-2-22200000000200000-2000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-2002-220000-2-2-2-22220000-20022-2-200000000200000-2000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-222002-220000-2-2-2-222-20000200-2-22200000000-2000002000000000000000
χ2122222-122-1-122-12-122-1-1-1-1-1-122-1000022-1222222-1-1-1-1-1-1022220220000-1-1-1-1-1-1000-1-12-1-100000-1-1-1-10000000
χ2222222-122-1-122-12-122-1-1-1-1-1-122-1000022-1222222-1-1-1-1-1-10-2-2-2-20-2-20000-1-1-1-1-1-100011-2110000011110000000
χ2322222-122-1-122-12-122-1-1-1-1-1-122-10000-2-2-122-2-2-2-2-1-1-1-1-1-1022220-2-20000111111000-1-1-2-1-10000011110000000
χ2422222-122-1-122-12-122-1-1-1-1-1-122-10000-2-2-122-2-2-2-2-1-1-1-1-1-10-2-2-2-202200001111110001121100000-1-1-1-10000000
χ2522222-122-1-122-12-1-2-2-1-1-1-11122-100002-21-2-222-2-2-1-11111022-2-202200001-1-1-111000-1-1-21100000-1-1110000000
χ2622222-122-1-122-12-1-2-2-1-1-1-11122-100002-21-2-222-2-2-1-111110-2-2220-2-200001-1-1-111000112-1-10000011-1-10000000
χ2722222-122-1-122-12-1-2-2-1-1-1-11122-10000-221-2-2-2-222-1-11111022-2-20-2-20000-1111-1-1000-1-12110000011-1-10000000
χ2822222-122-1-122-12-1-2-2-1-1-1-11122-10000-221-2-2-2-222-1-111110-2-2220220000-1111-1-100011-2-1-100000-1-1110000000
χ292222-122222-1-12-1-122-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-120000200-1-1-1-122-1-1-1-122-100000-1-1-1-1-100000000000
χ302222-122222-1-12-1-122-1-1-1222-1-122222-2-22-1-11111-1-1-1-1-1-120000200-1-1-1-1-2-21111-2-2-100000-1111100000000000
χ312222-122222-1-12-1-122-1-1-1222-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-20000-200111122-1-1-1-1-2-21000001111100000000000
χ322222-122222-1-12-1-122-1-1-1222-1-12-2-2-2-2-2-22-1-11111-1-1-1-1-1-1-20000-2001111-2-21111221000001-1-1-1-100000000000
χ332222-122222-1-12-1-1-2-2-1-1-12-2-2-1-1222222-2-211-1-111-1-11111-20000-200-1-1-1-1-22-1-1112-21000001-1-11100000000000
χ342222-122222-1-12-1-1-2-2-1-1-12-2-2-1-122222-22-21111-1-1-1-11111-20000-200-1-1-1-12-211-1-1-22100000111-1-100000000000
χ352222-122222-1-12-1-1-2-2-1-1-12-2-2-1-12-2-2-2-22-2-211-1-111-1-11111200002001111-22-1-111-22-100000-111-1-100000000000
χ362222-122222-1-12-1-1-2-2-1-1-12-2-2-1-12-2-2-2-2-22-21111-1-1-1-111112000020011112-211-1-12-2-100000-1-1-11100000000000
χ372222-12-2-222-1-12-1-12-2-1-1-1-22211-222-2-200-2-11−i3i3−i3i311-1-111-20000200-1-11100−i3i3−i3i300100000-1−i3i3−i3i300000000000
χ382222-12-2-222-1-12-1-12-2-1-1-1-22211-222-2-200-2-11i3−i3i3−i311-1-111-20000200-1-11100i3−i3i3−i300100000-1i3−i3i3−i300000000000
χ392222-12-2-222-1-12-1-12-2-1-1-1-22211-2-2-22200-2-11−i3i3−i3i311-1-11120000-20011-1-100−i3i3−i3i300-1000001i3−i3i3−i300000000000
χ402222-12-2-222-1-12-1-12-2-1-1-1-22211-2-2-22200-2-11i3−i3i3−i311-1-11120000-20011-1-100i3−i3i3−i300-1000001−i3i3−i3i300000000000
χ412222-12-2-222-1-12-1-1-22-1-1-1-2-2-211-222-2-20021-1−i3i3i3−i31111-1-120000-200-1-11100−i3i3i3−i300-1000001−i3i3i3−i300000000000
χ422222-12-2-222-1-12-1-1-22-1-1-1-2-2-211-222-2-20021-1i3−i3−i3i31111-1-120000-200-1-11100i3−i3−i3i300-1000001i3−i3−i3i300000000000
χ432222-12-2-222-1-12-1-1-22-1-1-1-2-2-211-2-2-2220021-1−i3i3i3−i31111-1-1-2000020011-1-100−i3i3i3−i300100000-1i3−i3−i3i300000000000
χ442222-12-2-222-1-12-1-1-22-1-1-1-2-2-211-2-2-2220021-1i3−i3−i3i31111-1-1-2000020011-1-100i3−i3−i3i300100000-1−i3i3i3−i300000000000
χ452-22-2222-22-2-2-2-222002-2-2-2002-222i−2i2i−2i0000000002-200000002i−2i0002i−2i2i−2i0000000000002i−2i0000000002-200000
χ462-22-2222-22-2-2-2-222002-2-2-2002-222i−2i2i−2i0000000002-20000000−2i2i0002i−2i2i−2i000000000000−2i2i000000000-2200000
χ472-22-2222-22-2-2-2-222002-2-2-2002-22−2i2i−2i2i0000000002-200000002i−2i000−2i2i−2i2i0000000000002i−2i000000000-2200000
χ482-22-2222-22-2-2-2-222002-2-2-2002-22−2i2i−2i2i0000000002-20000000−2i2i000−2i2i−2i2i000000000000−2i2i0000000002-200000
χ492-22-222-222-2-2-2-222002-2-2200-22-22i−2i−2i2i000000000-22000002-2000002i−2i−2i2i0000000002-2000000000000002i−2i000
χ502-22-222-222-2-2-2-222002-2-2200-22-22i−2i−2i2i000000000-2200000-22000002i−2i−2i2i000000000-2200000000000000−2i2i000
χ512-22-222-222-2-2-2-222002-2-2200-22-2−2i2i2i−2i000000000-22000002-200000−2i2i2i−2i0000000002-200000000000000−2i2i000
χ522-22-222-222-2-2-2-222002-2-2200-22-2−2i2i2i−2i000000000-2200000-2200000−2i2i2i−2i000000000-22000000000000002i−2i000
χ5344444-2-4-4-2-244-24-24-4-2-2-22-2-2-4-4200000024-4000022-2-222000000000000000000000000000000000000000000
χ5444444-2-4-4-2-244-24-2-44-2-2-2222-4-42000000-2-4400002222-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-4-2-2-2222211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-4111-222-2-2-200004-4222-2-22211-1-1-1-10000000000002-211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-4111-222-2-2-20000-4422222-2-211-1-1-1-1000000000000-22-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-41112-2-22220000002-22−2i32i3−2i32i3-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-41112-2-22220000002-222i3−2i32i3−2i3-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22-2−2i32i32i3−2i3-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22-22i3−2i3−2i32i3-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44400-4-44-44-4400-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ6444-4-44400-4-44-44-4400-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ654-44-44-24-4-22-4-424-200-2222004-4-20000000000000-2200000004i−4i0000000000000000000−2i2i0000000000000000
χ664-44-44-24-4-22-4-424-200-2222004-4-20000000000000-220000000−4i4i00000000000000000002i−2i0000000000000000
χ674-44-44-2-44-22-4-424-200-222-200-44200000000000002-2000004-4000000000000000000-220000000000000000000
χ684-44-44-2-44-22-4-424-200-222-200-44200000000000002-200000-440000000000000000002-20000000000000000000
χ694-44-4-244-44-422-4-2-200-222-400-2244i−4i4i−4i000000000-22000000000000−2i2i−2i2i000000000000000000000000000000
χ704-44-4-244-44-422-4-2-200-222-400-224−4i4i−4i4i000000000-220000000000002i−2i2i−2i000000000000000000000000000000
χ714-44-4-24-444-422-4-2-200-2224002-2-44i−4i−4i4i0000000002-2000000000000−2i2i2i−2i000000000000000000000000000000
χ724-44-4-24-444-422-4-2-200-2224002-2-4−4i4i4i−4i0000000002-20000000000002i−2i−2i2i000000000000000000000000000000
χ734-4-444400-44-44-4-4400-4-440000000000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ744-4-444400-44-44-4-4400-4-4400000000000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ754-4-444-2002-2-442-4-20022-2023−2300000000000000000023−2300000000−2i22i200000000000000000000000i2−i2i6−i60000000
χ764-4-444-2002-2-442-4-20022-2023−2300000000000000000023−23000000002i2−2i200000000000000000000000−i2i2−i6i60000000
χ774-4-444-2002-2-442-4-20022-20−2323000000000000000000−232300000000−2i22i200000000000000000000000i2−i2−i6i60000000
χ784-4-444-2002-2-442-4-20022-20−2323000000000000000000−2323000000002i2−2i200000000000000000000000−i2i2i6−i60000000
χ7988-8-88-400448-8-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4800-8-8-4484-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-40044-44-44200-22-2000000000000000000000006i−6i000000000000000000000000000000000000000000
χ8288-8-8-4-40044-44-44200-22-200000000000000000000000−6i6i000000000000000000000000000000000000000000
χ838-88-8-4-48-8-44444-42002-2-2400-44-400000000000002-20000000000000000000000000000000000000000000000
χ848-88-8-4-4-88-44444-42002-2-2-4004-440000000000000-220000000000000000000000000000000000000000000000
χ858-8-88-4800-884-4-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-444200-2-22043−43000000000000000000−232300000000000000000000000000000000000000000000
χ878-8-88-4-4004-44-444200-2-220−434300000000000000000023−2300000000000000000000000000000000000000000000

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