Finite Group Databasebeta

← Group #11781153

Character table — Group #11781153

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
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111
χ8111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1
χ92222222-22-22222222-222-2-2222-2-2-2-222-2-2-2-222-2-22222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
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
χ11222222-22-222222222-200002222222-2-22222-2-2-2-200000000-2-2-2-2000000002222000000000000-2-20000000000
χ12222222-22-222222222-200002222222-2-22222-2-2-2-200000000-2-2-2-200000000-2-2-2-2000000000000220000000000
χ13222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-222000000000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000000000000000000000−2i−2i2i2i000000
χ1522222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-10000000200-1-1
χ1622222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2000011110000000-20011
χ1722222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-12-1-2-211-2-211-1-1-1-111111111000000220000-1-1-1-10000000-20011
χ1822222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-12-1-2-211-2-211-1-1-1-111111111000000-2-2000011110000000200-1-1
χ1922222-12-22-22-12-12-1-1-222-2-2-1-1-1-2-2112-111112-1-2122-1-1-2-211-1-111-1-1-1-11111000000000000−i3−i3i3i30000000000−i3i3
χ2022222-12-22-22-12-12-1-1-222-2-2-1-1-1-2-2112-111112-1-2122-1-1-2-211-1-111-1-1-1-11111000000000000i3i3−i3−i30000000000i3−i3
χ2122222-12-22-22-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-21-2-21122-1-1-1-1111111-1-1-1-1000000000000−i3−i3i3i30000000000i3−i3
χ2222222-12-22-22-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-21-2-21122-1-1-1-1111111-1-1-1-1000000000000i3i3−i3−i30000000000−i3i3
χ232222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002200-1-1-1-1000000000020-1-100
χ242222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-20011110000000000-201100
χ252222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12-1211-2-211-2-2-1-1-1-11111111100002200-1-1-1-10000000000-201100
χ262222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12-1211-2-211-2-2-1-1-1-1111111110000-2-2001111000000000020-1-100
χ272222-122-22-2-12-12-12-1-222-2-2-1-1-111-2-2-121111-121-2-1-12211-2-2-1-111-1-1-1-1111100000000−i3−i3i3i3000000000000−i3i300
χ282222-122-22-2-12-12-12-1-222-2-2-1-1-111-2-2-121111-121-2-1-12211-2-2-1-111-1-1-1-1111100000000i3i3−i3−i3000000000000i3−i300
χ292222-122-22-2-12-12-12-1-2-2-222-1-1-111-2-2-121111-121-211-2-2-1-122-1-1111111-1-1-1-100000000−i3−i3i3i3000000000000i3−i300
χ302222-122-22-2-12-12-12-1-2-2-222-1-1-111-2-2-121111-121-211-2-2-1-122-1-1111111-1-1-1-100000000i3i3−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
χ352-2-222220-20-2-2-2-222202i−2i00-22-20000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i00002−22−20000000000002−2−i2i2−i2i2000000
χ362-2-222220-20-2-2-2-222202i−2i00-22-20000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i0000−22−22000000000000−22i2−i2i2−i2000000
χ372-2-222220-20-2-2-2-22220−2i2i00-22-20000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i00002−22−20000000000002−2i2−i2i2−i2000000
χ382-2-222220-20-2-2-2-22220−2i2i00-22-20000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i0000−22−22000000000000−22−i2i2−i2i2000000
χ392-2-2222-2020-2-2-2-22220002-2-22-20000-2-20000220000002-22-2-2200000022-2-22−22−2000000000000−222−2−22000000
χ402-2-2222-2020-2-2-2-22220002-2-22-20000-2-20000220000002-22-2-2200000022-2-2−22−220000000000002−2−222−2000000
χ412-2-2222-2020-2-2-2-2222000-22-22-20000-2-2000022000000-22-22-22000000-2-2222−22−2000000000000−22−222−2000000
χ422-2-2222-2020-2-2-2-2222000-22-22-20000-2-2000022000000-22-22-22000000-2-222−22−220000000000002−22−2−22000000
χ4344444-2-44-444-24-24-2-2-40000-2-2-244-2-2-42-2-2-2-2-42-42000000002222000000000000000000000000000000000000
χ4444444-2-4-4-4-44-24-24-2-240000-2-2-2-4-422-422222-424-20000000022-2-2000000000000000000000000000000000000
χ454444-24-44-44-24-24-24-2-40000-2-2-2-2-2442-4-2-2-2-22-42-4000000002222000000000000000000000000000000000000
χ464444-24-4-4-4-4-24-24-24-240000-2-2-222-4-42-422222-4-240000000022-2-2000000000000000000000000000000000000
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
χ484444-2-24444-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ494444-2-24-44-4-2-2-2-2-2-21-444-4-41112222-2-2-1-1-1-1-2-222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000
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
χ514444-2-2-44-44-2-2-2-2-2-21-40000111-2-2-2-2221111222200000000-1-1-1-13-33-33-33-30000000000000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-21-40000111-2-2-2-2221111222200000000-1-1-1-1-33-33-33-330000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-1113-33-3-33-330000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-111-33-333-33-30000000000000000000000000000
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
χ644-44-4440000-4-444-4-4400000-4-44000000000000000000000000000000000022−22−2222000000000000000000000000
χ654-44-4440000-4-444-4-4400000-4-440000000000000000000000000000000000−222222−22000000000000000000000000
χ664-4-444-240-40-42-424-2-204i−4i002-2200004-20000-42004i−4i−2i2i0000-2200−2i−2i2i2i00000000000000000000000000000000
χ674-4-444-240-40-42-424-2-20−4i4i002-2200004-20000-4200−4i4i2i−2i0000-22002i2i−2i−2i00000000000000000000000000000000
χ684-4-444-2-4040-42-424-2-20004-42-220000-4200004-20000004-4-222-2000000-2-2220000000000000000000000000000
χ694-4-444-2-4040-42-424-2-2000-442-220000-4200004-2000000-442-22-200000022-2-20000000000000000000000000000
χ704-4-44-2440-402-42-4-24-204i−4i002-220000-2400002-400−2i2i4i−4i0000-2200−2i−2i2i2i00000000000000000000000000000000
χ714-4-44-2440-402-42-4-24-20−4i4i002-220000-2400002-4002i−2i−4i4i0000-22002i2i−2i−2i00000000000000000000000000000000
χ724-4-44-24-40402-42-4-24-20004-42-2200002-40000-24000000-224-42-2000000-2-2220000000000000000000000000000
χ734-4-44-24-40402-42-4-24-2000-442-2200002-40000-240000002-2-442-200000022-2-20000000000000000000000000000
χ744-4-44-2-240-402222-2-2104i−4i00-11-10000-2-23i−3i3i−3i2200−2i2i−2i2i00001-13i−3iii−i−i3-3-330000000000000000000000000000
χ754-4-44-2-240-402222-2-2104i−4i00-11-10000-2-2−3i3i−3i3i2200−2i2i−2i2i00001-1−3i3iii−i−i-333-30000000000000000000000000000
χ764-4-44-2-240-402222-2-210−4i4i00-11-10000-2-23i−3i3i−3i22002i−2i2i−2i00001-13i−3i−i−iii-333-30000000000000000000000000000
χ774-4-44-2-240-402222-2-210−4i4i00-11-10000-2-2−3i3i−3i3i22002i−2i2i−2i00001-1−3i3i−i−iii3-3-330000000000000000000000000000
χ784-4-44-2-2-40402222-2-210004-4-11-10000223i−3i3i−3i-2-2000000-22-22-11−3i3i3i−3i−3i3i11-1-10000000000000000000000000000
χ794-4-44-2-2-40402222-2-210004-4-11-1000022−3i3i−3i3i-2-2000000-22-22-113i−3i−3i3i3i−3i11-1-10000000000000000000000000000
χ804-4-44-2-2-40402222-2-21000-44-11-10000223i−3i3i−3i-2-20000002-22-2-11−3i3i−3i3i3i−3i-1-1110000000000000000000000000000
χ814-4-44-2-2-40402222-2-21000-44-11-1000022−3i3i−3i3i-2-20000002-22-2-113i−3i3i−3i−3i3i-1-1110000000000000000000000000000
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
χ848-88-88-40000-848-4-84-40000044-400000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4800004-8-484-8-40000044-400000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4000044-4-444200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ878-88-8-4-4000044-4-444200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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