Finite Group Databasebeta

← Group #11781218

Character table — Group #11781218

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222444444444444444444444888888888888888888888818181818242424242424242424242424363636363636484848484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424248888884412121212
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
χ511111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111
χ811111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1
χ92222222-22-2222222222-2-2-2222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ102222222-22-22222222-2-2-222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2222222-2-2-2-2-2-222220000000000000000000000000000
χ11222222-22-22222222200-2002222222-2-22222-2-20000-2-20000-2-2-2-2000000002222000000000000-2-20000000000
χ12222222-22-22222222200-2002222222-2-22222-2-20000-2-20000-2-2-2-200000000-2-2-2-2000000000000220000000000
χ13222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-222000000000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-22200000000000000000000000000−2i−2i2i2i000000
χ1522222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-10000000200-1-1
χ1622222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2000011110000000-20011
χ1722222-122222-12-12-1-1-2-22-2-2-1-1-122-1-12-1-1-1-1-12-1-2-2112-1-2-211-1-1-1-111111111000000220000-1-1-1-10000000-20011
χ1822222-122222-12-12-1-1-2-22-2-2-1-1-122-1-12-1-1-1-1-12-1-2-2112-1-2-211-1-1-1-111111111000000-2-2000011110000000200-1-1
χ1922222-12-22-22-12-12-1-122-2-2-2-1-1-1-2-2112-111112-122-1-1-21-2-211-1-111-1-1-1-11111000000000000−i3−i3i3i30000000000−i3i3
χ2022222-12-22-22-12-12-1-122-2-2-2-1-1-1-2-2112-111112-122-1-1-21-2-211-1-111-1-1-1-11111000000000000i3i3−i3−i30000000000i3−i3
χ2122222-12-22-22-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-2-211-2122-1-1-1-1111111-1-1-1-1000000000000−i3−i3i3i30000000000i3−i3
χ2222222-12-22-22-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-2-211-2122-1-1-1-1111111-1-1-1-1000000000000i3i3−i3−i30000000000−i3i3
χ232222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-100002200-1-1-1-1000000000020-1-100
χ242222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-20011110000000000-201100
χ252222-122222-12-12-12-1-2-22-2-2-1-1-1-1-122-12-1-1-1-1-1211-2-2-1211-2-2-1-1-1-11111111100002200-1-1-1-10000000000-201100
χ262222-122222-12-12-12-1-2-22-2-2-1-1-1-1-122-12-1-1-1-1-1211-2-2-1211-2-2-1-1-1-1111111110000-2-2001111000000000020-1-100
χ272222-122-22-2-12-12-12-122-2-2-2-1-1-111-2-2-121111-12-1-1221-211-2-2-1-111-1-1-1-1111100000000−i3−i3i3i3000000000000−i3i300
χ282222-122-22-2-12-12-12-122-2-2-2-1-1-111-2-2-121111-12-1-1221-211-2-2-1-111-1-1-1-1111100000000i3i3−i3−i3000000000000i3−i300
χ292222-122-22-2-12-12-12-1-2-2-222-1-1-111-2-2-121111-1211-2-21-2-1-122-1-1111111-1-1-1-100000000−i3−i3i3i3000000000000i3−i300
χ302222-122-22-2-12-12-12-1-2-2-222-1-1-111-2-2-121111-1211-2-21-2-1-122-1-1111111-1-1-1-100000000i3i3−i3−i3000000000000−i3i300
χ3122-2-222020-222-2-2-2-22000002-2-22-22-20022-2-200000000000000000000000022-2-22−22−22−22−22−22−2000000000000
χ3222-2-222020-222-2-2-2-22000002-2-22-22-20022-2-200000000000000000000000022-2-2−22−22−22−22−22−22000000000000
χ3322-2-222020-222-2-2-2-22000002-2-22-22-20022-2-2000000000000000000000000-2-2222−2−222−22−2−22−22000000000000
χ3422-2-222020-222-2-2-2-22000002-2-22-22-20022-2-2000000000000000000000000-2-222−222−2−22−222−22−2000000000000
χ352-22-22220-20-2-222-2-222-2000-22-20000220000-2-22-22-20000002-20022-2-200002−22−20000000000002−22−22−2000000
χ362-22-22220-20-2-222-2-222-2000-22-20000220000-2-22-22-20000002-20022-2-20000−22−22000000000000−22−22−22000000
χ372-22-22220-20-2-222-2-22-22000-22-20000220000-2-2-22-220000002-200-2-22200002−22−20000000000002−2−22−22000000
χ382-22-22220-20-2-222-2-22-22000-22-20000220000-2-2-22-220000002-200-2-2220000−22−22000000000000−222−22−2000000
χ392-22-222-2020-2-222-2-220002i−2i-22-20000-2-20000220000002i−2i2i−2i-220000002i2i−2i−2i2−22−2000000000000−22−i2i2i2−i2000000
χ402-22-222-2020-2-222-2-220002i−2i-22-20000-2-20000220000002i−2i2i−2i-220000002i2i−2i−2i−22−220000000000002−2i2−i2−i2i2000000
χ412-22-222-2020-2-222-2-22000−2i2i-22-20000-2-2000022000000−2i2i−2i2i-22000000−2i−2i2i2i2−22−2000000000000−22i2−i2−i2i2000000
χ422-22-222-2020-2-222-2-22000−2i2i-22-20000-2-2000022000000−2i2i−2i2i-22000000−2i−2i2i2i−22−220000000000002−2−i2i2i2−i2000000
χ4344444-2-44-444-24-24-2-200-400-2-2-244-2-2-42-2-2-2-2-420000-4200002222000000000000000000000000000000000000
χ4444444-2-4-4-4-44-24-24-2-200400-2-2-2-4-422-422222-4200004-2000022-2-2000000000000000000000000000000000000
χ454444-24-44-44-24-24-24-200-400-2-2-2-2-2442-4-2-2-2-22-400002-400002222000000000000000000000000000000000000
χ464444-24-4-4-4-4-24-24-24-200400-2-2-222-4-42-422222-40000-24000022-2-2000000000000000000000000000000000000
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
χ484444-2-24444-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-21111-2-22222-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ494444-2-24-44-4-2-2-2-2-2-2144-4-4-41112222-2-2-1-1-1-1-2-2-2-2-2-222222211-1-11111-1-1-1-10000000000000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-21-4-4-4441112222-2-2-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-2100-400111-2-2-2-2221111220000220000-1-1-1-13-33-33-33-30000000000000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-2100-400111-2-2-2-2221111220000220000-1-1-1-1-33-33-33-330000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-1220000-2-20000-1-1113-33-3-33-330000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-1220000-2-20000-1-111-33-333-33-30000000000000000000000000000
χ5544-4-4440-40444-4-4-4-44000004-4-4-44-4400-4-4440000000000000000000000000000000000000000000000000000
χ5644-4-44-2040-44-2-42-42-200000-2224-4-2200-2-22200000000000000000000000000000022−220000−22−22000000000000
χ5744-4-44-2040-44-2-42-42-200000-2224-4-2200-2-222000000000000000000000000000000−222200002−22−2000000000000
χ5844-4-44-20-4044-2-42-42-200000-222-442-20022-2-2000000000000000000000000000000000000i6−i6−i6i6000000000000
χ5944-4-44-20-4044-2-42-42-200000-222-442-20022-2-2000000000000000000000000000000000000−i6i6i6−i6000000000000
χ6044-4-4-24040-4-242-42-4-200000-222-224-400-2-222000000000000000000000000000022−2200−22−220000000000000000
χ6144-4-4-24040-4-242-42-4-200000-222-224-400-2-2220000000000000000000000000000−2222002−22−20000000000000000
χ6244-4-4-240-404-242-42-4-200000-2222-2-440022-2-200000000000000000000000000000000i6−i6−i6i60000000000000000
χ6344-4-4-240-404-242-42-4-200000-2222-2-440022-2-200000000000000000000000000000000−i6i6i6−i60000000000000000
χ644-44-44-240-40-424-2-42-24-40002-2200004-20000-424-4-22000000-2200-2-22200000000000000000000000000000000
χ654-44-44-240-40-424-2-42-2-440002-2200004-20000-42-442-2000000-220022-2-200000000000000000000000000000000
χ664-44-44-2-4040-424-2-42-20004i−4i2-220000-4200004-20000004i−4i−2i2i2-2000000−2i−2i2i2i0000000000000000000000000000
χ674-44-44-2-4040-424-2-42-2000−4i4i2-220000-4200004-2000000−4i4i2i−2i2-20000002i2i−2i−2i0000000000000000000000000000
χ684-44-4-2440-402-4-242-4-24-40002-220000-2400002-4-224-4000000-2200-2-22200000000000000000000000000000000
χ694-44-4-2440-402-4-242-4-2-440002-220000-2400002-42-2-44000000-220022-2-200000000000000000000000000000000
χ704-44-4-24-40402-4-242-4-20004i−4i2-2200002-40000-24000000−2i2i4i−4i2-2000000−2i−2i2i2i0000000000000000000000000000
χ714-44-4-24-40402-4-242-4-2000−4i4i2-2200002-40000-240000002i−2i−4i4i2-20000002i2i−2i−2i0000000000000000000000000000
χ724-44-4-2-240-4022-2-22214-4000-11-10000-2-23i−3i3i−3i22-22-220000001-13i−3i11-1-13i−3i−3i3i0000000000000000000000000000
χ734-44-4-2-240-4022-2-22214-4000-11-10000-2-2−3i3i−3i3i22-22-220000001-1−3i3i11-1-1−3i3i3i−3i0000000000000000000000000000
χ744-44-4-2-240-4022-2-2221-44000-11-10000-2-23i−3i3i−3i222-22-20000001-13i−3i-1-111−3i3i3i−3i0000000000000000000000000000
χ754-44-4-2-240-4022-2-2221-44000-11-10000-2-2−3i3i−3i3i222-22-20000001-1−3i3i-1-1113i−3i−3i3i0000000000000000000000000000
χ764-44-4-2-2-404022-2-22210004i−4i-11-10000223i−3i3i−3i-2-2000000−2i2i−2i2i-11−3i3i3-3-33ii−i−i0000000000000000000000000000
χ774-44-4-2-2-404022-2-22210004i−4i-11-1000022−3i3i−3i3i-2-2000000−2i2i−2i2i-113i−3i-333-3ii−i−i0000000000000000000000000000
χ784-44-4-2-2-404022-2-2221000−4i4i-11-10000223i−3i3i−3i-2-20000002i−2i2i−2i-11−3i3i-333-3−i−iii0000000000000000000000000000
χ794-44-4-2-2-404022-2-2221000−4i4i-11-1000022−3i3i−3i3i-2-20000002i−2i2i−2i-113i−3i3-3-33−i−iii0000000000000000000000000000
χ804-4-44440000-4-4-4-444400000-4-44000000000000000000000000000000000022−22−2222000000000000000000000000
χ814-4-44440000-4-4-4-444400000-4-440000000000000000000000000000000000−222222−22000000000000000000000000
χ8288-8-8-4-4080-8-4-444442000002-2-2-44-440022-2-20000000000000000000000000000000000000000000000000000
χ8388-8-8-4-40-808-4-444442000002-2-24-44-400-2-2220000000000000000000000000000000000000000000000000000
χ848-8-888-40000-84-848-4-40000044-400000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800004-84-8-48-40000044-400000000000000000000000000000000000000000000000000000000000000
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).