Finite Group Databasebeta

← Group #11869049

Character table — Group #11869049

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666344666121212121212224444121212121212121212121212124444446688121212121212121244812121212121212121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1111-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-11111-1-1-111-1-1111111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-111-11111111111-1-1-1
χ9111111111111111-1-111111-1-11111111-1-1-1-111-1-111-1-1-1-1-111-1-1-11111111-111-1-11-1-111-1-1-111-1-1-111-1-1-1-11111-1
χ10111111111111111-1-111111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-111-111-1-1111-111-1-11-11-1-111-111-1-1-1-1-11111-1-1-1-11
χ11111111111111111-1-111111-1-1111111-11-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-11-1-111-11111-1-1-1-1-1-111-1-111-1-111-1-11
χ12111111111111111-1-111111-1-1111111-11-1-1-1-1-11111-1-1-1-1-1-1-111-1111111-11-1-111-11-1-1-111-1-1-1-11111-1-111-1-111-1
χ13111111111111111-1-111111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1111-1-11-1-111-1-11-111-1-1-11-111-1-11-1-111111-1-111-1-1-1-11
χ14111111111111111-1-111111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-1-1-11-111-1-1-111-1-1111-1-1111-1-111-1-11111-1
χ15111111111111111-1-111111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-11-1-1111-1111-1-11111-1-1-1-11111-1-111-1
χ16111111111111111-1-111111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-11-1-1111-1-1-1-1111111-1-111-1-1-1-111-1-11
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-20022-20000-2-222-2-2-2000022200-2-20000000000000-20020000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2220022-20000-2-222-2-220000-2-2-200220000000000000200-20000000000000
χ19222222-2-22222222-22222-2-222-2-222-2-200-2-220000-2-2-2-22220000-22200-2-20000000000000200-20000000000000
χ20222222-2-22222222-22222-2-222-2-2-2-22200-2-220000-2-2-2-222-200002-2-200220000000000000-20020000000000000
χ2122222-122-1222-1-1-122-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1200002-1-100-1-122-1-1-1-12200000-1-1-1-1-1-100000000000
χ2222222-122-1222-1-1-122-1-1-1-1-122222222-2-22-1-11111-1-1-1-1-1-1200002-1-100-1-1-2-21111-2-200000-111-11100000000000
χ2322222-122-1222-1-1-122-1-1-1-1-12222-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-20000-211001122-1-1-1-1-2-20000011111100000000000
χ2422222-122-1222-1-1-122-1-1-1-1-12222-2-2-2-2-2-22-1-11111-1-1-1-1-1-1-20000-2110011-2-2111122000001-1-11-1-100000000000
χ2522222-122-1222-1-1-1-2-2-1-1-1-1-1-2-22222222-2-211-1-111-1-11111-20000-2-1-100-1-12-2-1-1112-2000001-1-111100000000000
χ2622222-122-1222-1-1-1-2-2-1-1-1-1-1-2-2222222-22-21111-1-1-1-11111-20000-2-1-100-1-1-2211-1-1-22000001111-1-100000000000
χ2722222-122-1222-1-1-1-2-2-1-1-1-1-1-2-222-2-2-2-22-2-211-1-111-1-111112000021100112-2-1-111-2200000-111-1-1-100000000000
χ2822222-122-1222-1-1-1-2-2-1-1-1-1-1-2-222-2-2-2-2-22-21111-1-1-1-11111200002110011-2211-1-12-200000-1-1-1-11100000000000
χ2922222-1-2-2-1222-1-1-12-2-1-1-111-2-2-2-222-2-2002-11−i3i3−i3i311-1-111-200002-1-1001100−i3i3−i3i300000001−i3i3-1−i3i300000000000
χ3022222-1-2-2-1222-1-1-12-2-1-1-111-2-2-2-222-2-2002-11i3−i3i3−i311-1-111-200002-1-1001100i3−i3i3−i300000001i3−i3-1i3−i300000000000
χ3122222-1-2-2-1222-1-1-12-2-1-1-111-2-2-2-2-2-222002-11−i3i3−i3i311-1-11120000-21100-1-100−i3i3−i3i30000000-1i3−i31i3−i300000000000
χ3222222-1-2-2-1222-1-1-12-2-1-1-111-2-2-2-2-2-222002-11i3−i3i3−i311-1-11120000-21100-1-100i3−i3i3−i30000000-1−i3i31−i3i300000000000
χ3322222-1-2-2-1222-1-1-1-22-1-1-11122-2-222-2-200-21-1−i3i3i3−i31111-1-120000-2-1-1001100−i3i3i3−i30000000-1−i3i31i3−i300000000000
χ3422222-1-2-2-1222-1-1-1-22-1-1-11122-2-222-2-200-21-1i3−i3−i3i31111-1-120000-2-1-1001100i3−i3−i3i30000000-1i3−i31−i3i300000000000
χ3522222-1-2-2-1222-1-1-1-22-1-1-11122-2-2-2-22200-21-1−i3i3i3−i31111-1-1-2000021100-1-100−i3i3i3−i300000001i3−i3-1−i3i300000000000
χ3622222-1-2-2-1222-1-1-1-22-1-1-11122-2-2-2-22200-21-1i3−i3−i3i31111-1-1-2000021100-1-100i3−i3−i3i300000001−i3i3-1i3−i300000000000
χ372222-12222-1-1-122-122-1-1-122-1-1-1-1000022-1222222-1-1-1-1-1-1022220002200-1-1-1-1-1-1002-1-1-1-1000000-1-1-1-10000000
χ382222-12222-1-1-122-122-1-1-122-1-1-1-1000022-1222222-1-1-1-1-1-10-2-2-2-2000-2-200-1-1-1-1-1-100-2111100000011110000000
χ392222-12222-1-1-122-122-1-1-122-1-1-1-10000-2-2-122-2-2-2-2-1-1-1-1-1-102222000-2-20011111100-2-1-1-1-100000011110000000
χ402222-12222-1-1-122-122-1-1-122-1-1-1-10000-2-2-122-2-2-2-2-1-1-1-1-1-10-2-2-2-200022001111110021111000000-1-1-1-10000000
χ412222-12222-1-1-122-1-2-2-1-1-12211-1-100002-21-2-222-2-2-1-11111022-2-20002200-11-1-11100-2-1-111000000-1-1110000000
χ422222-12222-1-1-122-1-2-2-1-1-12211-1-100002-21-2-222-2-2-1-111110-2-222000-2-200-11-1-11100211-1-100000011-1-10000000
χ432222-12222-1-1-122-1-2-2-1-1-12211-1-10000-221-2-2-2-222-1-11111022-2-2000-2-2001-111-1-1002-1-11100000011-1-10000000
χ442222-12222-1-1-122-1-2-2-1-1-12211-1-10000-221-2-2-2-222-1-111110-2-22200022001-111-1-100-211-1-1000000-1-1110000000
χ452-22-2222-22-22-2-2-22002-2-22-2002-22-22-20000000002-200000002-202-2002-2000000000002-200000000002-200000
χ462-22-2222-22-22-2-2-22002-2-22-2002-22-22-20000000002-20000000-2202-2002-200000000000-220000000000-2200000
χ472-22-2222-22-22-2-2-22002-2-22-2002-2-22-220000000002-200000002-20-2200-22000000000002-20000000000-2200000
χ482-22-2222-22-22-2-2-22002-2-22-2002-2-22-220000000002-20000000-220-2200-2200000000000-2200000000002-200000
χ492-22-222-222-22-2-2-22002-2-2-2200-222-2-22000000000-22000002i−2i0002-200-220000000002i−2i000000000000002i−2i000
χ502-22-222-222-22-2-2-22002-2-2-2200-222-2-22000000000-2200000−2i2i0002-200-22000000000−2i2i00000000000000−2i2i000
χ512-22-222-222-22-2-2-22002-2-2-2200-22-222-2000000000-22000002i−2i000-22002-20000000002i−2i00000000000000−2i2i000
χ522-22-222-222-22-2-2-22002-2-2-2200-22-222-2000000000-2200000−2i2i000-22002-2000000000−2i2i000000000000002i−2i000
χ534444-24-4-44-2-2-244-24-4-2-2-2-4-42222000000-24-4000022-2-222000000000000000000000000000000000000000000
χ544444-24-4-44-2-2-244-2-44-2-2-2-4-4-2-2220000002-4400002222-2-2000000000000000000000000000000000000000000
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
χ574444-2-244-2-2-2-2-2-21-4-4111-2-222-2-200004-4222-2-22211-1-1-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-4111-2-222-2-20000-4422222-2-211-1-1-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111222222000000-2-22−2i32i3−2i32i3-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111222222000000-2-222i3−2i32i3−2i3-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-4411122-2-22200000022-2−2i32i32i3−2i3-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-4411122-2-22200000022-22i3−2i3−2i32i3-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44400-4-4-444-4400-44-4000000000000000000000000000000000000000000000000000000000000000022−220
χ6444-4-44400-4-4-444-4400-44-40000000000000000000000000000000000000000000000000000000000000000−22220
χ654-44-44-24-4-2-44-422-200-222-22004-44-44-4000000000-220000000000-2200-22000000000000000000000000000000
χ664-44-44-24-4-2-44-422-200-222-22004-4-44-44000000000-2200000000002-2002-2000000000000000000000000000000
χ674-44-44-2-44-2-44-422-200-2222-200-444-4-440000000002-20000000000-22002-2000000000000000000000000000000
χ684-44-44-2-44-2-44-422-200-2222-200-44-444-40000000002-200000000002-200-22000000000000000000000000000000
χ694-44-4-244-442-22-4-4-200-2224-400-220000000000000-2200000004-4000000000000000000-2200000000000000000
χ704-44-4-244-442-22-4-4-200-2224-400-220000000000000-220000000-440000000000000000002-200000000000000000
χ714-44-4-24-4442-22-4-4-200-222-44002-200000000000002-2000004i−4i000000000000000000−2i2i0000000000000000000
χ724-44-4-24-4442-22-4-4-200-222-44002-200000000000002-200000−4i4i0000000000000000002i−2i0000000000000000000
χ734-4-444400-44-4-4-44400-4-44000000000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ744-4-444400-44-4-4-44400-4-440000000000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ754-4-44-2400-4-222-44-20022-200−2i32i30000000000000000000−2i32i300000000−2i22i2000000000000000000000i2−i26−60000000
χ764-4-44-2400-4-222-44-20022-200−2i32i30000000000000000000−2i32i3000000002i2−2i2000000000000000000000−i2i2−660000000
χ774-4-44-2400-4-222-44-20022-2002i3−2i300000000000000000002i3−2i300000000−2i22i2000000000000000000000i2−i2−660000000
χ784-4-44-2400-4-222-44-20022-2002i3−2i300000000000000000002i3−2i3000000002i2−2i2000000000000000000000−i2i26−60000000
χ7988-8-88-4004-8-88-44-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4800-844-48-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400444-4-44200-22-20000000000000000000006-600000000000000000000000000000000000000000000
χ8288-8-8-4-400444-4-44200-22-2000000000000000000000-6600000000000000000000000000000000000000000000
χ838-88-8-4-48-8-44-44442002-2-2-4400-4400000000000002-20000000000000000000000000000000000000000000000
χ848-88-8-4-4-88-44-44442002-2-24-4004-40000000000000-220000000000000000000000000000000000000000000000
χ858-8-888-40048-8-84-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4444-4200-2-2200−4i34i300000000000000000002i3−2i3000000000000000000000000000000000000000000
χ878-8-88-4-4004-4444-4200-2-22004i3−4i30000000000000000000−2i32i3000000000000000000000000000000000000000000

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