Finite Group Databasebeta

← Group #11864225

Character table — Group #11864225

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666634466612121212222244481212121212121212242424242424242422444666612121212121212444466881212121212242424242221248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111-1-1111-1-1-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-11111111111111111111111-1-1-1-1-1111111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11111-111-1-1-1-11-111-11-1-1-1-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-111-1-1111111111111111111-1-111111-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-11-1-11-111111-1-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1111111-1-1-1-11-1-111-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-11
χ11111111111111111-1-1111111111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-11-1-1-11-1111111-1-1-111-1-11
χ12111111111111111-1-1111111111-1-111-11-1-1-1-1-1-11111111111-1-1-111-1-11111-1-1-1-1-1-1-11-1-1-11-1-111-1-1-1-111-11111-1
χ13111111111111111-1-11111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111-1-11-1111-11-1-1-1-1-1-111-1111-11
χ14111111111111111-1-11111111-1-111-1-1-11-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-11111-1-1-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-11111-1-11111-111-1-111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-20000000000-2002222-2-200000-2-2000000-200000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-20000000000200-2-222-2-20000022000000200000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-20022-2-2220000022000000-200000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000000200-2-2-2-22200000-2-2000000200000000200000
χ2122222-1222-1-122-1-122-1-1-1-122-12200222222-1-1-1-1-1-122-1-1-1-1-1-12200000-1-1-1-12-1-1-1-10002-1-120000-1-100-1-1000000
χ2222222-1222-1-122-1-122-1-1-1-122-1220022-2-222-1-111-1-1-2-21111112200000-1-1-1-1-2-1-111000-2-1-1-20000110011000000
χ2322222-1222-1-122-1-122-1-1-1-122-1-2-200-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2-20000011112-1-1-1-1000-211-20000110011000000
χ2422222-1222-1-122-1-122-1-1-1-122-1-2-200-2-2-2-222-1-111-1-1-2-2111111-2-2000001111-2-1-11100021120000-1-100-1-1000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-122-12200222-2-2-211-1-1-1-1-2-2111111-2-200000-1-1-1-1211-1-1000211-20000-1-10011000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-122-1220022-22-2-21111-1-122-1-1-1-1-1-1-2-200000-1-1-1-1-21111000-211200001100-1-1000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-122-1-2-200-2-22-2-2-211-1-1-1-1-2-211111122000001111211-1-1000-2-1-1200001100-1-1000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-122-1-2-200-2-2-22-2-21111-1-122-1-1-1-1-1-122000001111-211110002-1-1-20000-1-10011000000
χ292222-1222-122-1-12-122-1-1-12-1-1200220022-1-12222-1-1-1-122-1-1-1-100222-1-10000-1-1-1-1-100200002-1-1-100-1-100000-100
χ302222-1222-122-1-12-122-1-1-12-1-12002200-2-2-1-122-2-2-1-111-2-2111100222-1-100001-1-11100-20000-2-1-1-1001100000100
χ312222-1222-122-1-12-122-1-1-12-1-1200-2-20022-1-12222-1-1-1-122-1-1-1-100-2-2-2110000-1-1-1-1-100-20000-2111001100000100
χ322222-1222-122-1-12-122-1-1-12-1-1200-2-200-2-2-1-122-2-2-1-111-2-2111100-2-2-21100001-1-1110020000211100-1-100000-100
χ332222-1222-122-1-12-1-2-2-1-1-12-1-120022002-211-2-222-1-111-2-21111002-2-2-1-10000-111-1-10020000-2-111001100000-100
χ342222-1222-122-1-12-1-2-2-1-1-12-1-12002200-2211-2-2-2-2-1-1-1-122-1-1-1-1002-2-2-1-100001111100-200002-11100-1-100000100
χ352222-1222-122-1-12-1-2-2-1-1-12-1-1200-2-2002-211-2-222-1-111-2-2111100-222110000-111-1-100-2000021-1-100-1-100000100
χ362222-1222-122-1-12-1-2-2-1-1-12-1-1200-2-200-2211-2-2-2-2-1-1-1-122-1-1-1-100-222110000111110020000-21-1-1001100000-100
χ372-2-22222-2-2-2-2-22222-2-2-22-22-222-2002-2002-22-200-22000000002-2000002-22-202-20000002-200000000000000000
χ382-2-22222-2-2-2-2-22222-2-2-22-22-22-2200-22002-22-200-2200000000-2200000-22-2202-2000000-2200000000000000000
χ392-2-22222-2-2-2-2-2222-22-2-22-22-222-2002-200-22-2200-2200000000-22000002-22-20-22000000-2200000000000000000
χ402-2-22222-2-2-2-2-2222-22-2-22-22-22-2200-2200-22-2200-22000000002-200000-22-220-220000002-200000000000000000
χ412-2-2222-22-2-2-2-222200-2-222-22-22-200-22000000002-2000000000002-2002-2-22000000000000002-200000002-2000
χ422-2-2222-22-2-2-2-222200-2-222-22-22-200-22000000002-200000000000-22002-2-2200000000000000-220000000-22000
χ432-2-2222-22-2-2-2-222200-2-222-22-2-22002-2000000002-2000000000002-200-222-2000000000000002-20000000-22000
χ442-2-2222-22-2-2-2-222200-2-222-22-2-22002-2000000002-200000000000-2200-222-200000000000000-2200000002-2000
χ452-2-222-12-2-211-22-1-12-211-112-2-12-2002-2002-2-11−i3i31-100−i3i3−i3−i3i3i32-200000-11-110-11−i3i30000-1100000−i3i300−i3i3000000
χ462-2-222-12-2-211-22-1-12-211-112-2-12-2002-2002-2-11i3−i31-100i3−i3i3i3−i3−i32-200000-11-110-11i3−i30000-1100000i3−i300i3−i3000000
χ472-2-222-12-2-211-22-1-12-211-112-2-1-2200-22002-2-11−i3i31-100−i3i3−i3−i3i3i3-22000001-11-10-11−i3i300001-100000i3−i300i3−i3000000
χ482-2-222-12-2-211-22-1-12-211-112-2-1-2200-22002-2-11i3−i31-100i3−i3i3i3−i3−i3-22000001-11-10-11i3−i300001-100000−i3i300−i3i3000000
χ492-2-222-12-2-211-22-1-1-2211-112-2-12-2002-200-221-1−i3i31-100i3−i3i3i3−i3−i3-2200000-11-1101-1−i3i300001-100000−i3i300i3−i3000000
χ502-2-222-12-2-211-22-1-1-2211-112-2-12-2002-200-221-1i3−i31-100−i3i3−i3−i3i3i3-2200000-11-1101-1i3−i300001-100000i3−i300−i3i3000000
χ512-2-222-12-2-211-22-1-1-2211-112-2-1-2200-2200-221-1−i3i31-100i3−i3i3i3−i3−i32-2000001-11-101-1−i3i30000-1100000i3−i300−i3i3000000
χ522-2-222-12-2-211-22-1-1-2211-112-2-1-2200-2200-221-1i3−i31-100−i3i3−i3−i3i3i32-2000001-11-101-1i3−i30000-1100000−i3i300i3−i3000000
χ5344444-2-4-44-2-244-2-200-2-2-22-4-424400-4-40000000022000000000000000-2-2220000000000000000000000000000
χ5444444-2-4-44-2-244-2-200-2-2-22-4-42-4-40044000000002200000000000000022-2-20000000000000000000000000000
χ554444-24-4-4-244-2-24-200-2-2-2-422-400440000000000220000000000-400-2-200000000000000000200000000000000
χ564444-24-4-4-244-2-24-200-2-2-2-422-400-4-400000000002200000000004002200000000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-2-2-222112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-42222-2-2112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-4440044-4-4-4-44004-4-40000004-400000000000000000000000004-400000000000000000000000000000000
χ6244-4-4440044-4-4-4-44004-4-4000000-440000000000000000000000000-4400000000000000000000000000000000
χ6344-4-4-2400-24-422-4-200-2220000004-4000000000000i6−i600i6−i6i6−i600000-220000000000000000000000i6−i600000000
χ6444-4-4-2400-24-422-4-200-2220000004-4000000000000−i6i600−i6i6−i6i600000-220000000000000000000000−i6i600000000
χ6544-4-4-2400-24-422-4-200-222000000-44000000000000i6−i600i6−i6i6−i6000002-20000000000000000000000−i6i600000000
χ6644-4-4-2400-24-422-4-200-222000000-44000000000000−i6i600−i6i6−i6i6000002-20000000000000000000000i6−i600000000
χ674-44-44400-4-444-4-4400-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ684-44-44400-4-444-4-4400-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ694-4-444-2-44-422-44-2-20022-2-2-4424-400-4400000000-22000000000000000-222-20000000000000000000000000000
χ704-4-444-2-44-422-44-2-20022-2-2-442-44004-400000000-220000000000000002-2-220000000000000000000000000000
χ714-4-44-244-42-4-42-24-24-422-2-4-22400000000-224-4002-200000000000000000000-220000000000000000000000000
χ724-4-44-244-42-4-42-24-2-4422-2-4-224000000002-2-44002-2000000000000000000002-20000000000000000000000000
χ734-4-44-24-442-4-42-24-20022-242-2-400000000000000-22000000000004-400000000000000000000-22000000000000
χ744-4-44-24-442-4-42-24-20022-242-2-400000000000000-2200000000000-44000000000000000000002-2000000000000
χ754-4-44-2-24-42222-2-214-4-1-112-22-200000000-22-22−2i32i3-1100−2i32i3i3i3−i3−i30000000000001-1i3−i300000000000000000000000
χ764-4-44-2-24-42222-2-214-4-1-112-22-200000000-22-222i3−2i3-11002i3−2i3−i3−i3i3i30000000000001-1−i3i300000000000000000000000
χ774-4-44-2-24-42222-2-21-44-1-112-22-2000000002-22-2−2i32i3-11002i3−2i3−i3−i3i3i3000000000000-11i3−i300000000000000000000000
χ784-4-44-2-24-42222-2-21-44-1-112-22-2000000002-22-22i3−2i3-1100−2i32i3i3i3−i3−i3000000000000-11−i3i300000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-4008-44-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-2000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ838-88-88-400-84-48-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-88-44-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-444200-22-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ868-88-8-4-40044-4-444200-22-2000000000000000000000000−323232−32000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4200-2-22-44-44000000000000002-200000000000000000000000000000000000000000000000

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