Finite Group Databasebeta

← Group #11887817

Character table — Group #11887817

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order12223344666666344666881212121244444121212121212242424242424242424888812121212121212121212228888244461212121212242424244446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-11-1-11111-1-1111111-1-1-1-1-1-11-1-11-11-1-111-1-111-1-1-11-1-1
χ311111111111111111111111111-1-1111111111111111111-111-1-1-1-111111111-1-1-1-1-1-1-111-11-111-1-111-1-1-1-1-1-11-1
χ411111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-11-11111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-11111-1-111-11-1-11111-1-1-111-11-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-1111111-1-11-111-1-1-1-111-1111-1-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-111111-1-1111
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-111-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-1-1111-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11-11-111-1-1-1-1-1-1-1-111111-1
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1111111-1-1-1111-1-111-1-1-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-11111-1-1111-1-1-111-1-111-1-1-1-111
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111111111111-1-1-1
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000-2-2000022220000002200000000-2-200000000-200000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-2000000002-2000022-2-2000000-2-2000000002-200000000200000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-220000-2-222000000-2-200000000-2200000000200000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-200000000220000-2-2-2-200000022000000002200000000-200000
χ2122222-122-1-1222-1-122-1-1-122-122-122002-1-122-1-122-1-1-1-1-1-1020022-1-1002-1-1-1-1-100000020020-100-1-100-1-1000-100
χ2222222-122-1-1222-1-122-1-1-122-122-1-2-2002-1-122-1-122-1-1-1-1-1-10-200-2-211002-1-1-1-1-1000000-200-20100110011000100
χ2322222-122-1-1222-1-122-1-1-1-2-2-122-12200-2-1-122-1-1-2-21111110200-2-2-1-100-21-1-111000000-20020-100-1-10011000100
χ2422222-122-1-1222-1-122-1-1-1-2-2-122-1-2-200-2-1-122-1-1-2-21111110-200221100-21-1-111000000200-201001100-1-1000-100
χ2522222-122-1-1222-1-1-2-2-1-1-122-122-12200-211-2-2-1-122-1-1-1-1-1-1020022-1-100-211111000000-200-20-1001100-1-1000100
χ2622222-122-1-1222-1-1-2-2-1-1-122-122-1-2-200-211-2-2-1-122-1-1-1-1-1-10-200-2-21100-21111100000020020100-1-10011000-100
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-2-122-12200211-2-2-1-1-2-21111110200-2-2-1-1002-111-1-1000000200-20-100110011000-100
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-2-122-1-2-200211-2-2-1-1-2-21111110-2002211002-111-1-1000000-20020100-1-100-1-1000100
χ292222-122222-1-1-12-122-1-1-1222-1-120022222-1-1-1-1-1-122-1-1-1-120220000-1-1-12-1-1-1-10000000220-10-1-100-1-1000000-10
χ302222-122222-1-1-12-122-1-1-1222-1-1200-2-2222-1-1-1-1-1-122-1-1-1-1-20-2-2000011-12-1-1-1-10000000-2-201011001100000010
χ312222-122222-1-1-12-122-1-1-1-2-22-1-120022-222-1-1-1-111-2-2111120-2-20000-1-11-2-1-11100000002-20-10-1-1001100000010
χ322222-122222-1-1-12-122-1-1-1-2-22-1-1200-2-2-222-1-1-1-111-2-21111-20220000111-2-1-1110000000-220101100-1-1000000-10
χ332222-122222-1-1-12-1-2-2-1-1-1222-1-120022-2-2-211-1-1-1-122-1-1-1-120220000-1-11-211110000000-2-20-101100-1-100000010
χ342222-122222-1-1-12-1-2-2-1-1-1222-1-1200-2-2-2-2-211-1-1-1-122-1-1-1-1-20-2-20000111-21111000000022010-1-10011000000-10
χ352222-122222-1-1-12-1-2-2-1-1-1-2-22-1-1200222-2-211-1-111-2-2111120-2-20000-1-1-1211-1-10000000-220-10110011000000-10
χ362222-122222-1-1-12-1-2-2-1-1-1-2-22-1-1200-2-22-2-211-1-111-2-21111-2022000011-1211-1-100000002-2010-1-100-1-100000010
χ372-22-22200-22-2-22-2200-22-2−i2i200002i−2i2i−2i0000000−i2i2−i2i2−i2−i2i2i2002−22−22i−2i2i−2i0000002-2−i2−i2i2i200000000002−22−2000000
χ382-22-22200-22-2-22-2200-22-2−i2i200002i−2i−2i2i0000000−i2i2−i2i2−i2−i2i2i200−222−22i−2i−2i2i000000-22i2i2−i2−i20000000000−222−2000000
χ392-22-22200-22-2-22-2200-22-2−i2i20000−2i2i2i−2i0000000−i2i2−i2i2−i2−i2i2i2002−2−22−2i2i2i−2i000000-22i2i2−i2−i200000000002−2−22000000
χ402-22-22200-22-2-22-2200-22-2−i2i20000−2i2i−2i2i0000000−i2i2−i2i2−i2−i2i2i200−22−22−2i2i−2i2i0000002-2−i2−i2i2i20000000000−22−22000000
χ412-22-22200-22-2-22-2200-22-2i2−i200002i−2i2i−2i0000000i2−i2i2−i2i2i2−i2−i200−22−222i−2i2i−2i0000002-2i2i2−i2−i20000000000−22−22000000
χ422-22-22200-22-2-22-2200-22-2i2−i200002i−2i−2i2i0000000i2−i2i2−i2i2i2−i2−i2002−2−222i−2i−2i2i000000-22−i2−i2i2i200000000002−2−22000000
χ432-22-22200-22-2-22-2200-22-2i2−i20000−2i2i2i−2i0000000i2−i2i2−i2i2i2−i2−i200−222−2−2i2i2i−2i000000-22−i2−i2i2i20000000000−222−2000000
χ442-22-22200-22-2-22-2200-22-2i2−i20000−2i2i−2i2i0000000i2−i2i2−i2i2i2−i2−i2002−22−2−2i2i−2i2i0000002-2i2i2−i2−i200000000002−22−2000000
χ452-2-22222-2-2-22-2-2222i−2i-2-22002-22-2000002i−2i2i−2i2-2000000000000000000002i−2i00002i−2i2i−2i0000000000000002-2000
χ462-2-22222-2-2-22-2-2222i−2i-2-22002-22-2000002i−2i2i−2i2-2000000000000000000002i−2i0000−2i2i−2i2i000000000000000-22000
χ472-2-22222-2-2-22-2-222−2i2i-2-22002-22-200000−2i2i−2i2i2-200000000000000000000−2i2i00002i−2i2i−2i000000000000000-22000
χ482-2-22222-2-2-22-2-222−2i2i-2-22002-22-200000−2i2i−2i2i2-200000000000000000000−2i2i0000−2i2i−2i2i0000000000000002-2000
χ4944444-2-4-4-2-2444-2-200-2-2-2002-4-4244000000022000000000-40000-2-20000000000000000000200000000000000
χ5044444-2-4-4-2-2444-2-200-2-2-2002-4-42-4-400000002200000000040000220000000000000000000-200000000000000
χ514444-24-4-444-2-2-24-200-2-2-200-422-40044000002200000000-40000000-2-200000000000000002000000000000000
χ524444-24-4-444-2-2-24-200-2-2-200-422-400-4-400000220000000040000000220000000000000000-2000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-211110000000000-2-2111100000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000002211-1-100000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-21111000000000022-1-1-1-100000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-10000000000-2-2-1-11100000000000000000000000000
χ5744-4-444004-4-44-4-44004-4-4000000000000000000000000000000000000000000022−22−222200000000000000000000
χ5844-4-444004-4-44-4-44004-4-40000000000000000000000000000000000000000000−222222−2200000000000000000000
χ594-44-44-2002-2-4-442-2002-22−2i22i200004i−4i000000000−2i22i2i2−i2i2i2−i2−i2000022−22−2i2i00000000000000000000000000−22000000
χ604-44-44-2002-2-4-442-2002-22−2i22i20000−4i4i000000000−2i22i2i2−i2i2i2−i2−i20000−22222i−2i000000000000000000000000002−2000000
χ614-44-44-2002-2-4-442-2002-222i2−2i200004i−4i0000000002i2−2i2−i2i2−i2−i2i2i20000−2222−2i2i000000000000000000000000002−2000000
χ624-44-44-2002-2-4-442-2002-222i2−2i20000−4i4i0000000002i2−2i2−i2i2−i2−i2i2i2000022−222i−2i00000000000000000000000000−22000000
χ634-44-4-2400-4422-2-4-2002-22−2i22i20000004i−4i0000000i2−i2−2i22i2i2i2−i2−i20022−220000−2i2i0000000000000000000000−2200000000
χ644-44-4-2400-4422-2-4-2002-22−2i22i2000000−4i4i0000000i2−i2−2i22i2i2i2−i2−i200−222200002i−2i00000000000000000000002−200000000
χ654-44-4-2400-4422-2-4-2002-222i2−2i20000004i−4i0000000−i2i22i2−2i2−i2−i2i2i200−22220000−2i2i00000000000000000000002−200000000
χ664-44-4-2400-4422-2-4-2002-222i2−2i2000000−4i4i0000000−i2i22i2−2i2−i2−i2i2i20022−2200002i−2i0000000000000000000000−2200000000
χ674-4-4444-44-4-44-4-44400-4-4400-44-44000000000-4400000000000000000000000000000000000000000000000000
χ684-4-444-24-4224-4-4-2-24i−4i22-200-2-44200000−2i2i4i−4i-2200000000000000000000−2i2i0000000000000000000000000000
χ694-4-444-24-4224-4-4-2-2−4i4i22-200-2-442000002i−2i−4i4i-22000000000000000000002i−2i0000000000000000000000000000
χ704-4-444-2-44224-4-4-2-20022-20024-4-20000000002-200000000000000000000000000000000000000−2i32i30000000000
χ714-4-444-2-44224-4-4-2-20022-20024-4-20000000002-2000000000000000000000000000000000000002i3−2i30000000000
χ724-4-44-244-4-4-4-2224-24i−4i22-20042-2-4000004i−4i−2i2i-2200000000000000000000−2i2i0000000000000000000000000000
χ734-4-44-244-4-4-4-2224-2−4i4i22-20042-2-400000−4i4i2i−2i-22000000000000000000002i−2i0000000000000000000000000000
χ744-4-44-24-44-4-4-2224-20022-200-4-2240000000002-200000000000000000000000000000000000023−23000000000000
χ754-4-44-24-44-4-4-2224-20022-200-4-2240000000002-2000000000000000000000000000000000000−2323000000000000
χ764-4-44-2-24-422-222-214i−4i-1-1100-22-2200000−2i2i−2i2i1-100003i−3i3i−3i000000000000i−i3-300000000000000000000000000
χ774-4-44-2-24-422-222-214i−4i-1-1100-22-2200000−2i2i−2i2i1-10000−3i3i−3i3i000000000000i−i-3300000000000000000000000000
χ784-4-44-2-24-422-222-21−4i4i-1-1100-22-22000002i−2i2i−2i1-100003i−3i3i−3i000000000000−ii-3300000000000000000000000000
χ794-4-44-2-24-422-222-21−4i4i-1-1100-22-22000002i−2i2i−2i1-10000−3i3i−3i3i000000000000−ii3-300000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-88-400-44-88-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-48008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-444-4442002-2-200000000000000000000032−32−3232000000000000000000000000000000000000000000
χ8488-8-8-4-400-444-4442002-2-2000000000000000000000−323232−32000000000000000000000000000000000000000000
χ858-88-8-4-4004-444-44200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ868-88-8-4-4004-444-44200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-444-4200-2-22004-44-4000000000-2200000000000000000000000000000000000000000000000000

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