Finite Group Databasebeta

← Group #11884620

Character table — Group #11884620

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order1222334466666636668812121212242424244444121212121212242424242424222244466668812121212242424241212121212124466812122424441212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111111111111-111-111-1-11111-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11
χ51111111111111111111111111111-1-111111111111111-1111111-1-111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-11111-1-111111-1-11111-1-1-1-11-111-1-11-111-1-1-1-1-1111-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-11-1-1-111-111-1-1-1-111-1-1-1-1-1-11-111-1-11-1-1-111111-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11-1-111-11111-1-111-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-11-1-111-11-1-1-111-1-111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1111-1-11-1-11111-1-11111111-111-1-1-1111-1-1-1-1-1-1-1-111-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111111-111-1-1-11-1-11111111-11-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1111-1-111111-11-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-11-1-1111-1-1-1-111-1-1-1-11-1-111
χ17222222-2-2222222222200-2-2-2-2000022000000-2-2000000-200200-2-2-2220022-2-200000000000000000002-200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-2000000-200-2002-2-2-2-20022220000000000000000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000200200-2222200-2-2-2-20000000000000000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000200-200222-2-200-2-22200000000000000000002-200000
χ2122222-1222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-1022222200-1-10000-1-1000022-1-1-1-100-1-12-1-1-1-10000000
χ2222222-1222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2-2-20011000011000022-1-1-1-10011-211110000000
χ2322222-1222-1-122-1-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-1022-222-200110000110000-2-2111100-1-1-2-1-1110000000
χ2422222-1222-1-122-1-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-10-2-22-2-2200-1-10000-1-10000-2-211110011211-1-10000000
χ2522222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111-1-11111110222-2-2200-1-10000-1-100002-2-1-11100-1-1-211110000000
χ2622222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111-1-11111110-2-2-222-2001100001100002-2-1-11100112-1-1-1-10000000
χ2722222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1-1-1111111022-2-2-2-200110000110000-2211-1-100-1-1211-1-10000000
χ2822222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1-1-11111110-2-2222200-1-10000-1-10000-2211-1-10011-2-1-1110000000
χ292222-1222-122-1-12-1-1-1-122-12-12-1-1-1-122222222-1-122-1-1-1-12000000-1-10022-1-100-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ302222-1222-122-1-12-1-1-1-122-12-12-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-12000000-1-10022-1-100-1-1-1-1111111-2-200000000011000
χ312222-1222-122-1-12-1-1-1-122-12-12-1-1-1-1-2-2222222-1-122-1-1-1-1-20000001100-2-211001111-1-1-1-1-1-1-2-200000000011000
χ322222-1222-122-1-12-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-20000001100-2-21100111111111122000000000-1-1000
χ332222-1222-122-1-12-1-1-1-1-2-2-12-121111222-222-2-2-1-1-2-211112000000-1-100-2-2-1-1001111-11-1-1112-2000000000-11000
χ342222-1222-122-1-12-1-1-1-1-2-2-12-12111122-22-2-222-1-1-2-211112000000-1-100-2-2-1-10011111-111-1-1-220000000001-1000
χ352222-1222-122-1-12-1-1-1-1-2-2-12-121111-2-22-222-2-2-1-1-2-21111-20000001100221100-1-1-1-1-11-1-111-220000000001-1000
χ362222-1222-122-1-12-1-1-1-1-2-2-12-121111-2-2-22-2-222-1-1-2-21111-20000001100221100-1-1-1-11-111-1-12-2000000000-11000
χ372-2-22222-2-2-2-22-222-2-222-2-2-22222-2-200000000-222-222-2-202-202-2000000000000000000000002-202-2000000000
χ382-2-22222-2-2-2-22-222-2-222-2-2-22222-2-200000000-222-222-2-20-220-2200000000000000000000000-220-22000000000
χ392-2-22222-2-2-2-22-222-2-22-22-2-222-2-22200000000-22-22-2-22202-20-22000000000000000000000002-20-22000000000
χ402-2-22222-2-2-2-22-222-2-22-22-2-222-2-22200000000-22-22-2-2220-2202-200000000000000000000000-2202-2000000000
χ412-2-222-12-2-2112-2-1-111-12-2-212-122-2-20000−i3i3−i3i31-1-11-1-11102-202-2000−i3i30000−i3i3000000−i3i3−i3i300-110-11−i3i30000000
χ422-2-222-12-2-2112-2-1-111-12-2-212-122-2-20000−i3i3−i3i31-1-11-1-1110-220-22000i3−i30000i3−i3000000−i3i3−i3i3001-101-1i3−i30000000
χ432-2-222-12-2-2112-2-1-111-12-2-212-122-2-20000i3−i3i3−i31-1-11-1-11102-202-2000i3−i30000i3−i3000000i3−i3i3−i300-110-11i3−i30000000
χ442-2-222-12-2-2112-2-1-111-12-2-212-122-2-20000i3−i3i3−i31-1-11-1-1110-220-22000−i3i30000−i3i3000000i3−i3i3−i3001-101-1−i3i30000000
χ452-2-222-12-2-2112-2-1-111-1-22-212-1-2-2220000−i3i3i3−i31-11-111-1-102-20-22000−i3i30000−i3i3000000−i3i3i3−i300-1101-1i3−i30000000
χ462-2-222-12-2-2112-2-1-111-1-22-212-1-2-2220000−i3i3i3−i31-11-111-1-10-2202-2000i3−i30000i3−i3000000−i3i3i3−i3001-10-11−i3i30000000
χ472-2-222-12-2-2112-2-1-111-1-22-212-1-2-2220000i3−i3−i3i31-11-111-1-102-20-22000i3−i30000i3−i3000000i3−i3−i3i300-1101-1−i3i30000000
χ482-2-222-12-2-2112-2-1-111-1-22-212-1-2-2220000i3−i3−i3i31-11-111-1-10-2202-2000−i3i30000−i3i3000000i3−i3−i3i3001-10-11i3−i30000000
χ4944444-2-4-44-2-244-2-2-2-2-200-42-4200000000000022000000000400-400-2-200002200000000000000000000000000
χ5044444-2-4-44-2-244-2-2-2-2-200-42-4200000000000022000000000-400400220000-2-200000000000000000000000000
χ514444-24-4-4-244-2-24-2-2-2-2002-42-400004400000022000000-4000000220000-2-20000000000000000000000000000
χ524444-24-4-4-244-2-24-2-2-2-2002-42-40000-4-4000000220000004000000-2-20000220000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-2-2-211-2-21111000000000000000000000-2-211110000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-4222211-2-2111100000000000000000000022-1-1-1-10000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-1000000000000000000000-2211-1-10000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-10000000000000000000002-2-1-1110000000000000000
χ5744-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000022−2200002222−22−220000000000000000000000
χ5844-4-4440044-4-4-4-444-4-40000000000000000000000000000000000000−22220000−22−2222220000000000000000000000
χ5944-4-4-2400-24-422-4-2-222000000i6−i6i6−i6000000000000i6−i6i6−i60000000−2i32i30022−220000−2−2220000000000000000000000
χ6044-4-4-2400-24-422-4-2-222000000i6−i6i6−i6000000000000i6−i6i6−i600000002i3−2i300−2222000022−2−20000000000000000000000
χ6144-4-4-2400-24-422-4-2-222000000−i6i6−i6i6000000000000−i6i6−i6i60000000−2i32i300−2222000022−2−20000000000000000000000
χ6244-4-4-2400-24-422-4-2-222000000−i6i6−i6i6000000000000−i6i6−i6i600000002i3−2i30022−220000−2−2220000000000000000000000
χ634-44-44400-4-44-44-44-44-400000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ644-44-44400-4-44-44-44-44-40000000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ654-44-4-24002-442-2-4-22-22000000i6−i6−i6i64i−4i0000000000i6−i6−i6i60000000000000−2i2i006−66−60000000000000000000000
χ664-44-4-24002-442-2-4-22-22000000i6−i6−i6i6−4i4i0000000000i6−i6−i6i600000000000002i−2i00−66−660000000000000000000000
χ674-44-4-24002-442-2-4-22-22000000−i6i6i6−i64i−4i0000000000−i6i6i6−i60000000000000−2i2i00−66−660000000000000000000000
χ684-44-4-24002-442-2-4-22-22000000−i6i6i6−i6−4i4i0000000000−i6i6i6−i600000000000002i−2i006−66−60000000000000000000000
χ694-4-4444-44-4-4-44-444-4-440044-4-40000000000004-40000000000000000000000000000000000000000000000000
χ704-4-444-2-44-4224-4-2-222-2004-2-42000000000000-22000000000000000−2i32i300002i3−2i300000000000000000000000000
χ714-4-444-2-44-4224-4-2-222-2004-2-42000000000000-220000000000000002i3−2i30000−2i32i300000000000000000000000000
χ724-4-44-244-42-4-4-224-222-24-42-4-24-2-222000000002-24-4-2-2220000000000000000000000000000000000000000000
χ734-4-44-244-42-4-4-224-222-2-442-4-2422-2-2000000002-2-4422-2-20000000000000000000000000000000000000000000
χ744-4-44-24-442-4-4-224-222-200-242-4000000000000-220000000000000000000000023−23−23230000000000000000000000
χ754-4-44-24-442-4-4-224-222-200-242-4000000000000-2200000000000000000000000−232323−230000000000000000000000
χ764-4-44-2-24-4222-22-21-1-114-422-2-2-2-2220000−2i32i3−2i32i3-11-2211-1-100000000000000000000000i3−i3i3−i30000000000000000
χ774-4-44-2-24-4222-22-21-1-114-422-2-2-2-22200002i3−2i32i3−2i3-11-2211-1-100000000000000000000000−i3i3−i3i30000000000000000
χ784-4-44-2-24-4222-22-21-1-11-4422-2-222-2-20000−2i32i32i3−2i3-112-2-1-11100000000000000000000000i3−i3−i3i30000000000000000
χ794-4-44-2-24-4222-22-21-1-11-4422-2-222-2-200002i3−2i3−2i32i3-112-2-1-11100000000000000000000000−i3i3i3−i30000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-88-4008-44-8-84-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-4444422-2-20000002i6−2i62i6−2i6000000000000−i6i6−i6i60000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-4444422-2-2000000−2i62i6−2i62i6000000000000i6−i6i6−i60000000000000000000000000000000000000000000
χ848-88-88-400-84-4-884-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-442-22-20000002i6−2i6−2i62i6000000000000−i6i6i6−i60000000000000000000000000000000000000000000
χ868-88-8-4-40044-44-442-22-2000000−2i62i62i6−2i6000000000000i6−i6−i6i60000000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-42-2-2200-4-4440000000000002-20000000000000000000000000000000000000000000000000

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