Finite Group Databasebeta

← Group #11781303

Character table — Group #11781303

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222444444444444444444444888888888888888888888818181818242424242424242424242424363636363636484848484848
order12223344446666663444446661212121212121212121212121212121212121212121212121212121212121212121288888888242424242424242488888824661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111
χ511111111111111111-1-11-1-11111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111-1-11-1-11111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111-1-11-1-11111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111
χ811111111111111111-1-11-1-11111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1
χ922222222-2-2222222222-2-2-2222-2-2-2-222-2-2-2-222-22222-2-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ1022222222-2-22222222-2-2-222222-2-2-2-222-2-2-2-222-2-2-2-2-222-22222-2-2-2-2-2-222220000000000000000000000000000
χ11222222-2-222222222200-2002222222-2-22222-2-2-2000000-200-2-2-2-2000000002222000000000000-2-20000000000
χ12222222-2-222222222200-2002222222-2-22222-2-2-2000000-200-2-2-2-200000000-2-2-2-2000000000000220000000000
χ13222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-22000000200-2-222000000000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-22000000200-2-22200000000000000000000000000−2i−2i2i2i000000
χ1522222-122222-12-1-12-122222-1-1-122-1-12-1-1-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100002200-1-1-1-1000000000020-1-100
χ1622222-122222-12-1-12-122222-1-1-122-1-12-1-1-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20011110000000000-201100
χ1722222-122222-12-1-12-1-2-22-2-2-1-1-122-1-12-1-1-1-1-12-1-1-2-211112-2-2-1-1-1-11111111100002200-1-1-1-10000000000-201100
χ1822222-122222-12-1-12-1-2-22-2-2-1-1-122-1-12-1-1-1-1-12-1-1-2-211112-2-2-1-1-1-1111111110000-2-2001111000000000020-1-100
χ1922222-122-2-22-12-1-12-122-2-2-2-1-1-1-2-2112-111112-1122-1-111-2-2-2-1-111-1-1-1-1111100000000−i3−i3i3i3000000000000−i3i300
χ2022222-122-2-22-12-1-12-122-2-2-2-1-1-1-2-2112-111112-1122-1-111-2-2-2-1-111-1-1-1-1111100000000i3i3−i3−i3000000000000i3−i300
χ2122222-122-2-22-12-1-12-1-2-2-222-1-1-1-2-2112-111112-11-2-211-1-1-222-1-1111111-1-1-1-100000000−i3−i3i3i3000000000000i3−i300
χ2222222-122-2-22-12-1-12-1-2-2-222-1-1-1-2-2112-111112-11-2-211-1-1-222-1-1111111-1-1-1-100000000i3i3−i3−i3000000000000−i3i300
χ232222-122222-12-122-1-122222-1-1-1-1-122-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-10000000200-1-1
χ242222-122222-12-122-1-122222-1-1-1-1-122-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2000011110000000-20011
χ252222-122222-12-122-1-1-2-22-2-2-1-1-1-1-122-12-1-1-1-1-12211-2-2-2-2-111-1-1-1-111111111000000220000-1-1-1-10000000-20011
χ262222-122222-12-122-1-1-2-22-2-2-1-1-1-1-122-12-1-1-1-1-12211-2-2-2-2-111-1-1-1-111111111000000-2-2000011110000000200-1-1
χ272222-1222-2-2-12-122-1-122-2-2-2-1-1-111-2-2-121111-12-2-1-122-2-2111-1-111-1-1-1-11111000000000000−i3−i3i3i30000000000−i3i3
χ282222-1222-2-2-12-122-1-122-2-2-2-1-1-111-2-2-121111-12-2-1-122-2-2111-1-111-1-1-1-11111000000000000i3i3−i3−i30000000000i3−i3
χ292222-1222-2-2-12-122-1-1-2-2-222-1-1-111-2-2-121111-12-211-2-2221-1-1-1-1111111-1-1-1-1000000000000−i3−i3i3i30000000000i3−i3
χ302222-1222-2-2-12-122-1-1-2-2-222-1-1-111-2-2-121111-12-211-2-2221-1-1-1-1111111-1-1-1-1000000000000i3i3−i3−i30000000000−i3i3
χ3122-2-22200-2222-2-2-2-22000002-2-22-22-20022-2-20000000000000000000000002i2i−2i−2i−i2i22−2−i2i2−i2i22−22−2000000000000
χ3222-2-22200-2222-2-2-2-22000002-2-22-22-20022-2-20000000000000000000000002i2i−2i−2ii2−i2−22i2−i2i2−i2−22−22000000000000
χ3322-2-22200-2222-2-2-2-22000002-2-22-22-20022-2-2000000000000000000000000−2i−2i2i2i−i2i2−22−i2i2−i2i2−22−22000000000000
χ3422-2-22200-2222-2-2-2-22000002-2-22-22-20022-2-2000000000000000000000000−2i−2i2i2ii2−i22−2i2−i2i2−i22−22−2000000000000
χ352-22-2222-200-2-222-2-220002i−2i-22-20000-2200002-2000002i−2i02i−2i2-20000002i2i−2i−2i−i2i2−i2i2000000000000−i2i22−22−2000000
χ362-22-2222-200-2-222-2-220002i−2i-22-20000-2200002-2000002i−2i02i−2i2-20000002i2i−2i−2ii2−i2i2−i2000000000000i2−i2−22−22000000
χ372-22-2222-200-2-222-2-22000−2i2i-22-20000-2200002-200000−2i2i0−2i2i2-2000000−2i−2i2i2i−i2i2−i2i2000000000000−i2i2−22−22000000
χ382-22-2222-200-2-222-2-22000−2i2i-22-20000-2200002-200000−2i2i0−2i2i2-2000000−2i−2i2i2ii2−i2i2−i2000000000000i2−i22−22−2000000
χ392-22-222-2200-2-222-2-222-2000-22-200002-20000-2202-22-200000-220022-2-20000−i2i2−i2i2000000000000i2−i2−i2i2i2−i2000000
χ402-22-222-2200-2-222-2-222-2000-22-200002-20000-2202-22-200000-220022-2-20000i2−i2i2−i2000000000000−i2i2i2−i2−i2i2000000
χ412-22-222-2200-2-222-2-22-22000-22-200002-20000-220-22-2200000-2200-2-2220000−i2i2−i2i2000000000000i2−i2i2−i2−i2i2000000
χ422-22-222-2200-2-222-2-22-22000-22-200002-20000-220-22-2200000-2200-2-2220000i2−i2i2−i2000000000000−i2i2−i2i2i2−i2000000
χ4344444-2-4-4444-24-2-24-200-400-2-2-244-2-2-42-2-2-2-2-422000000-4002222000000000000000000000000000000000000
χ4444444-2-4-4-4-44-24-2-24-200400-2-2-2-4-422-422222-42-200000040022-2-2000000000000000000000000000000000000
χ454444-24-4-444-24-244-2-200-400-2-2-2-2-2442-4-2-2-2-22-4-40000002002222000000000000000000000000000000000000
χ464444-24-4-4-4-4-24-244-2-200400-2-2-222-4-42-422222-44000000-20022-2-2000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ484444-2-24444-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-21111-2-2-2222222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ494444-2-244-4-4-2-2-2-2-2-2144-4-4-41112222-2-2-1-1-1-1-2-22-2-2-2-22222211-1-11111-1-1-1-10000000000000000000000000000
χ504444-2-244-4-4-2-2-2-2-2-21-4-4-4441112222-2-2-1-1-1-1-2-222222-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000
χ514444-2-2-4-444-2-2-2-2-2-2100-400111-2-2-2-2221111222000000200-1-1-1-13-33-33-33-30000000000000000000000000000
χ524444-2-2-4-444-2-2-2-2-2-2100-400111-2-2-2-2221111222000000200-1-1-1-1-33-33-33-330000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-122-2000000-200-1-1113-33-3-33-330000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-122-2000000-200-1-111-33-333-33-30000000000000000000000000000
χ5544-4-444004-444-4-4-4-44000004-4-4-44-4400-4-4440000000000000000000000000000000000000000000000000000
χ5644-4-44-2004-44-2-422-4-200000-222-442-20022-2-2000000000000000000000000000000006−6−660000000000000000
χ5744-4-44-2004-44-2-422-4-200000-222-442-20022-2-200000000000000000000000000000000−666−60000000000000000
χ5844-4-44-200-444-2-422-4-200000-2224-4-2200-2-2220000000000000000000000000000−2i22i200i2−i2i2−i20000000000000000
χ5944-4-44-200-444-2-422-4-200000-2224-4-2200-2-22200000000000000000000000000002i2−2i200−i2i2−i2i20000000000000000
χ6044-4-4-24004-4-242-4-42-200000-2222-2-440022-2-2000000000000000000000000000000000000i6−i6−i6i6000000000000
χ6144-4-4-24004-4-242-4-42-200000-2222-2-440022-2-2000000000000000000000000000000000000−i6i6i6−i6000000000000
χ6244-4-4-2400-44-242-4-42-200000-222-224-400-2-22200000000000000000000000000000022−220000−22−22000000000000
χ6344-4-4-2400-44-242-4-42-200000-222-224-400-2-222000000000000000000000000000000−222200002−22−2000000000000
χ644-44-44-24-400-424-22-4-20004i−4i2-220000-4-200004200000−2i2i04i−4i-22000000−2i−2i2i2i0000000000000000000000000000
χ654-44-44-24-400-424-22-4-2000−4i4i2-220000-4-2000042000002i−2i0−4i4i-220000002i2i−2i−2i0000000000000000000000000000
χ664-44-44-2-4400-424-22-4-24-40002-220000420000-4-204-4-22000002-200-2-22200000000000000000000000000000000
χ674-44-44-2-4400-424-22-4-2-440002-220000420000-4-20-442-2000002-20022-2-200000000000000000000000000000000
χ684-44-4-244-4002-4-24-42-20004i−4i2-220000240000-2-4000004i−4i0−2i2i-22000000−2i−2i2i2i0000000000000000000000000000
χ694-44-4-244-4002-4-24-42-2000−4i4i2-220000240000-2-400000−4i4i02i−2i-220000002i2i−2i−2i0000000000000000000000000000
χ704-44-4-24-44002-4-24-42-24-40002-220000-2-40000240-224-4000002-200-2-22200000000000000000000000000000000
χ714-44-4-24-44002-4-24-42-2-440002-220000-2-400002402-2-44000002-20022-2-200000000000000000000000000000000
χ724-44-4-2-24-40022-2-22210004i−4i-11-100002-23i−3i3i−3i-2200000−2i2i0−2i2i1-13i−3i3-3-33ii−i−i0000000000000000000000000000
χ734-44-4-2-24-40022-2-22210004i−4i-11-100002-2−3i3i−3i3i-2200000−2i2i0−2i2i1-1−3i3i-333-3ii−i−i0000000000000000000000000000
χ744-44-4-2-24-40022-2-2221000−4i4i-11-100002-23i−3i3i−3i-22000002i−2i02i−2i1-13i−3i-333-3−i−iii0000000000000000000000000000
χ754-44-4-2-24-40022-2-2221000−4i4i-11-100002-2−3i3i−3i3i-22000002i−2i02i−2i1-1−3i3i3-3-33−i−iii0000000000000000000000000000
χ764-44-4-2-2-440022-2-22214-4000-11-10000-223i−3i3i−3i2-20-22-2200000-11−3i3i11-1-13i−3i−3i3i0000000000000000000000000000
χ774-44-4-2-2-440022-2-22214-4000-11-10000-22−3i3i−3i3i2-20-22-2200000-113i−3i11-1-1−3i3i3i−3i0000000000000000000000000000
χ784-44-4-2-2-440022-2-2221-44000-11-10000-223i−3i3i−3i2-202-22-200000-11−3i3i-1-111−3i3i3i−3i0000000000000000000000000000
χ794-44-4-2-2-440022-2-2221-44000-11-10000-22−3i3i−3i3i2-202-22-200000-113i−3i-1-1113i−3i−3i3i0000000000000000000000000000
χ804-4-44440000-4-4-4-444400000-4-44000000000000000000000000000000000022−22−2222000000000000000000000000
χ814-4-44440000-4-4-4-444400000-4-440000000000000000000000000000000000−222222−22000000000000000000000000
χ8288-8-8-4-4008-8-4-444442000002-2-24-44-400-2-2220000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-88-4-444442000002-2-2-44-440022-2-20000000000000000000000000000000000000000000000000000
χ848-8-888-40000-84-84-48-40000044-400000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800004-84-88-4-40000044-400000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400004444-4-4200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ878-8-88-4-400004444-4-4200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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