Finite Group Databasebeta

← Group #11781120

Character table — Group #11781120

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222444444444444444444444888888888888888888888818181818242424242424242424242424363636363636484848484848
order12223344446666662234446661212121212121212121212126666666612121212121212121212121212128888888824242424242424248888884412121212
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
χ51111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111
χ81111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1
χ92222222-22-2222222222-2-2-2222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-222-2-2-2-2-2-20000000000000000000000000000
χ102222222-22-2222222-2-22-222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222-2-222220000000000000000000000000000
χ11222222-22-22222222002-2002222222-2-22222-2-200000000-2-20000-2-2-2-200002222000000000000-2-20000000000
χ12222222-22-22222222002-2002222222-2-22222-2-200000000-2-20000-2-2-2-20000-2-2-2-2000000000000220000000000
χ13222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-22200000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000000000000000000000−2i−2i2i2i000000
χ1522222-122222-12-12-122-1222-1-1-122-1-12-1-1-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-10000000200-1-1
χ1622222-122222-12-12-122-1222-1-1-122-1-12-1-1-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1000000-2-2000011110000000-20011
χ1722222-122222-12-12-1-2-2-12-2-2-1-1-122-1-12-1-1-1-1-12-1-2-21111112-1-2-211-1-1-1-11111000000220000-1-1-1-10000000-20011
χ1822222-122222-12-12-1-2-2-12-2-2-1-1-122-1-12-1-1-1-1-12-1-2-21111112-1-2-211-1-1-1-11111000000-2-2000011110000000200-1-1
χ1922222-12-22-22-12-12-122-1-2-2-2-1-1-1-2-2112-111112-122-1-1-1-1-1-1-21-2-211-1-1111111000000000000−i3−i3i3i30000000000−i3i3
χ2022222-12-22-22-12-12-122-1-2-2-2-1-1-1-2-2112-111112-122-1-1-1-1-1-1-21-2-211-1-1111111000000000000i3i3−i3−i30000000000i3−i3
χ2122222-12-22-22-12-12-1-2-2-1-222-1-1-1-2-2112-111112-1-2-2111111-2122-1-1-1-111-1-1-1-1000000000000−i3−i3i3i30000000000i3−i3
χ2222222-12-22-22-12-12-1-2-2-1-222-1-1-1-2-2112-111112-1-2-2111111-2122-1-1-1-111-1-1-1-1000000000000i3i3−i3−i30000000000−i3i3
χ232222-122222-12-12-1222-1222-1-1-1-1-122-12-1-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100002200-1-1-1-1000000000020-1-100
χ242222-122222-12-12-1222-1222-1-1-1-1-122-12-1-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-10000-2-20011110000000000-201100
χ252222-122222-12-12-12-2-2-12-2-2-1-1-1-1-122-12-1-1-1-1-1211-2-21111-1211-2-2-1-1-1-1111100002200-1-1-1-10000000000-201100
χ262222-122222-12-12-12-2-2-12-2-2-1-1-1-1-122-12-1-1-1-1-1211-2-21111-1211-2-2-1-1-1-111110000-2-2001111000000000020-1-100
χ272222-122-22-2-12-12-1222-1-2-2-2-1-1-111-2-2-121111-12-1-122-1-1-1-11-211-2-2-1-111111100000000−i3−i3i3i3000000000000−i3i300
χ282222-122-22-2-12-12-1222-1-2-2-2-1-1-111-2-2-121111-12-1-122-1-1-1-11-211-2-2-1-111111100000000i3i3−i3−i3000000000000i3−i300
χ292222-122-22-2-12-12-12-2-2-1-222-1-1-111-2-2-121111-1211-2-211111-2-1-122-1-111-1-1-1-100000000−i3−i3i3i3000000000000i3−i300
χ302222-122-22-2-12-12-12-2-2-1-222-1-1-111-2-2-121111-1211-2-211111-2-1-122-1-111-1-1-1-100000000i3i3−i3−i3000000000000−i3i300
χ312-22-2220-202-2-222-2-2002000-2-222-22-20022-2-200000000000000000000000022-2-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ322-22-2220-202-2-222-2-2002000-2-222-22-20022-2-200000000000000000000000022-2-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ332-22-2220-202-2-222-2-2002000-2-222-22-20022-2-2000000000000000000000000-2-222−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ342-22-2220-202-2-222-2-2002000-2-222-22-20022-2-2000000000000000000000000-2-222i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ352-2-222220-20-2-2-2-22200202i−2i2-2-20000220000-2-200000000002i−2i2i−2i2-2002i2i−2i−2i2−22−20000000000002−2−i2i2−i2i2000000
χ362-2-222220-20-2-2-2-22200202i−2i2-2-20000220000-2-200000000002i−2i2i−2i2-2002i2i−2i−2i−22−22000000000000−22i2−i2i2−i2000000
χ372-2-222220-20-2-2-2-2220020−2i2i2-2-20000220000-2-20000000000−2i2i−2i2i2-200−2i−2i2i2i2−22−20000000000002−2i2−i2i2−i2000000
χ382-2-222220-20-2-2-2-2220020−2i2i2-2-20000220000-2-20000000000−2i2i−2i2i2-200−2i−2i2i2i−22−22000000000000−22−i2i2−i2i2000000
χ392-2-2222-2020-2-2-2-2222-220002-2-20000-2-20000222-22-222-2-2000000-220000002−22−2000000000000−222−2−22000000
χ402-2-2222-2020-2-2-2-2222-220002-2-20000-2-20000222-22-222-2-2000000-22000000−22−220000000000002−2−222−2000000
χ412-2-2222-2020-2-2-2-222-2220002-2-20000-2-2000022-22-22-2-222000000-220000002−22−2000000000000−22−222−2000000
χ422-2-2222-2020-2-2-2-222-2220002-2-20000-2-2000022-22-22-2-222000000-22000000−22−220000000000002−22−2−22000000
χ4344444-2-44-444-24-24-200-2-400-2-2-244-2-2-42-2-2-2-2-4200000000-420000222200000000000000000000000000000000
χ4444444-2-4-4-4-44-24-24-200-2400-2-2-2-4-422-422222-42000000004-2000022-2-200000000000000000000000000000000
χ454444-24-44-44-24-24-2400-2-400-2-2-2-2-2442-4-2-2-2-22-4000000002-40000222200000000000000000000000000000000
χ464444-24-4-4-4-4-24-24-2400-2400-2-2-222-4-42-422222-400000000-24000022-2-200000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-2441444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000
χ484444-2-24444-2-2-2-2-2-2-4-414-4-4111-2-2-2-2-2-21111-2-22222-1-1-1-1-2-222221111-1-1-1-10000000000000000000000000000
χ494444-2-24-44-4-2-2-2-2-2-2441-4-4-41112222-2-2-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-2-4-41-4441112222-2-2-1-1-1-1-2-22222-1-1-1-122-2-2-2-211-1-111110000000000000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-2001-400111-2-2-2-22211112200003-33-3220000-1-1-1-13-33-30000000000000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-2001-400111-2-2-2-2221111220000-33-33220000-1-1-1-1-33-330000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-12200003-33-3-2-20000-1-111-33-330000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-1220000-33-33-2-20000-1-1113-33-30000000000000000000000000000
χ5544-4-444000044-4-4-4-4004000-44-4000000000000000000000000000000000022−22−2222000000000000000000000000
χ5644-4-444000044-4-4-4-4004000-44-40000000000000000000000000000000000−222222−22000000000000000000000000
χ574-44-444040-4-4-444-4-4004000-4-44-44-4400-4-4440000000000000000000000000000000000000000000000000000
χ584-44-44-2040-4-424-2-4200-200022-2-442-20022-2-20000000000000000000000000000000000006−6−66000000000000
χ594-44-44-2040-4-424-2-4200-200022-2-442-20022-2-2000000000000000000000000000000000000−666−6000000000000
χ604-44-44-20-404-424-2-4200-200022-24-4-2200-2-222000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000000
χ614-44-44-20-404-424-2-4200-200022-24-4-2200-2-2220000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000000
χ624-44-4-24040-42-4-242-400-200022-22-2-440022-2-2000000000000000000000000000000006−6−660000000000000000
χ634-44-4-24040-42-4-242-400-200022-22-2-440022-2-200000000000000000000000000000000−666−60000000000000000
χ644-44-4-240-4042-4-242-400-200022-2-224-400-2-2220000000000000000000000000000−2i22i200i2−i2i2−i20000000000000000
χ654-44-4-240-4042-4-242-400-200022-2-224-400-2-22200000000000000000000000000002i2−2i200−i2i2−i2i20000000000000000
χ664-4-444-240-40-42-424-200-204i−4i-22200004-20000-4200000000004i−4i−2i2i-2200−2i−2i2i2i0000000000000000000000000000
χ674-4-444-240-40-42-424-200-20−4i4i-22200004-20000-420000000000−4i4i2i−2i-22002i2i−2i−2i0000000000000000000000000000
χ684-4-444-2-4040-42-424-24-4-2000-2220000-4200004-24-4-22-2-2220000002-20000000000000000000000000000000000
χ694-4-444-2-4040-42-424-2-44-2000-2220000-4200004-2-442-222-2-20000002-20000000000000000000000000000000000
χ704-4-44-2440-402-42-4-2400-204i−4i-2220000-2400002-40000000000−2i2i4i−4i-2200−2i−2i2i2i0000000000000000000000000000
χ714-4-44-2440-402-42-4-2400-20−4i4i-2220000-2400002-400000000002i−2i−4i4i-22002i2i−2i−2i0000000000000000000000000000
χ724-4-44-24-40402-42-4-244-4-2000-22200002-40000-24-224-4-2-2220000002-20000000000000000000000000000000000
χ734-4-44-24-40402-42-4-24-44-2000-22200002-40000-242-2-4422-2-20000002-20000000000000000000000000000000000
χ744-4-44-2-240-402222-2-200104i−4i1-1-10000-2-23i−3i3i−3i2200003-3-3300−2i2i−2i2i1-13i−3iii−i−i0000000000000000000000000000
χ754-4-44-2-240-402222-2-200104i−4i1-1-10000-2-2−3i3i−3i3i220000-333-300−2i2i−2i2i1-1−3i3iii−i−i0000000000000000000000000000
χ764-4-44-2-240-402222-2-20010−4i4i1-1-10000-2-23i−3i3i−3i220000-333-3002i−2i2i−2i1-13i−3i−i−iii0000000000000000000000000000
χ774-4-44-2-240-402222-2-20010−4i4i1-1-10000-2-2−3i3i−3i3i2200003-3-33002i−2i2i−2i1-1−3i3i−i−iii0000000000000000000000000000
χ784-4-44-2-2-40402222-2-24-410001-1-10000223i−3i3i−3i-2-2-22-2211-1-1000000-11−3i3i3i−3i−3i3i0000000000000000000000000000
χ794-4-44-2-2-40402222-2-24-410001-1-1000022−3i3i−3i3i-2-2-22-2211-1-1000000-113i−3i−3i3i3i−3i0000000000000000000000000000
χ804-4-44-2-2-40402222-2-2-4410001-1-10000223i−3i3i−3i-2-22-22-2-1-111000000-11−3i3i−3i3i3i−3i0000000000000000000000000000
χ814-4-44-2-2-40402222-2-2-4410001-1-1000022−3i3i−3i3i-2-22-22-2-1-111000000-113i−3i3i−3i−3i3i0000000000000000000000000000
χ8288-8-88-400008-4-84-8400-40004-4400000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-480000-484-84-800-40004-4400000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-40000-4-44444002000-22-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8588-8-8-4-40000-4-44444002000-22-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ868-88-8-4-4080-844-4-444002000-2-224-44-400-2-2220000000000000000000000000000000000000000000000000000
χ878-88-8-4-40-80844-4-444002000-2-22-44-440022-2-20000000000000000000000000000000000000000000000000000

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