Finite Group Databasebeta

← Group #11781444

Character table — Group #11781444

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222444444444444444444444888888888888888888888818181818242424242424242424242424363636363636484848484848
order122233444466666622344466612121212121212121212121266666666121212121212121212121212121288888888242424242424242488888824661212
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
χ92222222-22-2222222222-2-2-22222-2-2-2-22-2-2-2-22222222222-2-2-2-2-2-222-2-2-2-2-2-20000000000000000000000000000
χ102222222-22-2222222-2-22-2222222-2-2-2-22-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222-2-222220000000000000000000000000000
χ11222222-22-22222222002-200222-22222-22222-2-200000000-2-20000-2-2-2-200002222000000000000-2-20000000000
χ12222222-22-22222222002-200222-22222-22222-2-200000000-2-20000-2-2-2-20000-2-2-2-2000000000000220000000000
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
χ1522222-122222-1-12-1222-1222-1-1-1-122-1-12-1-1-1-1-1222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-100002200-1-1-1-1000000000020-1-100
χ1622222-122222-1-12-1222-1222-1-1-1-122-1-12-1-1-1-1-1222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-10000-2-20011110000000000-201100
χ1722222-122222-1-12-12-2-2-12-2-2-1-1-1-122-1-12-1-1-1-1-12-2-21111112-1-2-211-1-1-1-1111100002200-1-1-1-10000000000-201100
χ1822222-122222-1-12-12-2-2-12-2-2-1-1-1-122-1-12-1-1-1-1-12-2-21111112-1-2-211-1-1-1-111110000-2-2001111000000000020-1-100
χ1922222-12-22-22-1-12-1222-1-2-2-2-1-1-1-1-2-21121111-1222-1-1-1-1-1-1-21-2-211-1-111111100000000−i3−i3i3i3000000000000−i3i300
χ2022222-12-22-22-1-12-1222-1-2-2-2-1-1-1-1-2-21121111-1222-1-1-1-1-1-1-21-2-211-1-111111100000000i3i3−i3−i3000000000000i3−i300
χ2122222-12-22-22-1-12-12-2-2-1-222-1-1-1-1-2-21121111-12-2-2111111-2122-1-1-1-111-1-1-1-100000000−i3−i3i3i3000000000000i3−i300
χ2222222-12-22-22-1-12-12-2-2-1-222-1-1-1-1-2-21121111-12-2-2111111-2122-1-1-1-111-1-1-1-100000000i3i3−i3−i3000000000000−i3i300
χ232222-122222-122-12-122-1222-1-1-12-1-122-1-1-1-1-12-1-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000000220000-1-1-1-10000000200-1-1
χ242222-122222-122-12-122-1222-1-1-12-1-122-1-1-1-1-12-1-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000000-2-2000011110000000-20011
χ252222-122222-122-12-1-2-2-12-2-2-1-1-12-1-122-1-1-1-1-12-111-2-21111-1211-2-2-1-1-1-11111000000220000-1-1-1-10000000-20011
χ262222-122222-122-12-1-2-2-12-2-2-1-1-12-1-122-1-1-1-1-12-111-2-21111-1211-2-2-1-1-1-11111000000-2-2000011110000000200-1-1
χ272222-122-22-2-122-12-122-1-2-2-2-1-1-1211-2-2-111112-1-1-122-1-1-1-11-211-2-2-1-1111111000000000000−i3−i3i3i30000000000−i3i3
χ282222-122-22-2-122-12-122-1-2-2-2-1-1-1211-2-2-111112-1-1-122-1-1-1-11-211-2-2-1-1111111000000000000i3i3−i3−i30000000000i3−i3
χ292222-122-22-2-122-12-1-2-2-1-222-1-1-1211-2-2-111112-111-2-211111-2-1-122-1-111-1-1-1-1000000000000−i3−i3i3i30000000000i3−i3
χ302222-122-22-2-122-12-1-2-2-1-222-1-1-1211-2-2-111112-111-2-211111-2-1-122-1-111-1-1-1-1000000000000i3i3−i3−i30000000000−i3i3
χ312-22-222020-2-2-2-222-2002000-2-2202-22-2022-2-20000000000000000000000002i2i−2i−2i2−2−i2i22−22−2−i2i2−i2i2000000000000
χ322-22-222020-2-2-2-222-2002000-2-2202-22-2022-2-20000000000000000000000002i2i−2i−2i−22i2−i2−22−22i2−i2i2−i2000000000000
χ332-22-222020-2-2-2-222-2002000-2-2202-22-2022-2-2000000000000000000000000−2i−2i2i2i2−2i2−i22−22−2i2−i2i2−i2000000000000
χ342-22-222020-2-2-2-222-2002000-2-2202-22-2022-2-2000000000000000000000000−2i−2i2i2i−22−i2i2−22−22−i2i2−i2i2000000000000
χ352-2-222220-20-22-2-2-2200202i−2i2-2-22000020000-2-200000000002i−2i2i−2i2-2002i2i−2i−2i2−22−20000000000002−2−i2i2−i2i2000000
χ362-2-222220-20-22-2-2-2200202i−2i2-2-22000020000-2-200000000002i−2i2i−2i2-2002i2i−2i−2i−22−22000000000000−22i2−i2i2−i2000000
χ372-2-222220-20-22-2-2-220020−2i2i2-2-22000020000-2-20000000000−2i2i−2i2i2-200−2i−2i2i2i2−22−20000000000002−2i2−i2i2−i2000000
χ382-2-222220-20-22-2-2-220020−2i2i2-2-22000020000-2-20000000000−2i2i−2i2i2-200−2i−2i2i2i−22−22000000000000−22−i2i2−i2i2000000
χ392-2-2222-2020-22-2-2-222-220002-2-2-20000-20000222-22-222-2-2000000-220000002−22−2000000000000−222−2−22000000
χ402-2-2222-2020-22-2-2-222-220002-2-2-20000-20000222-22-222-2-2000000-22000000−22−220000000000002−2−222−2000000
χ412-2-2222-2020-22-2-2-22-2220002-2-2-20000-2000022-22-22-2-222000000-220000002−22−2000000000000−22−222−2000000
χ422-2-2222-2020-22-2-2-22-2220002-2-2-20000-2000022-22-22-2-222000000-22000000−22−220000000000002−22−2−22000000
χ4344444-2-44-444-2-24-2400-2-400-2-2-2244-2-2-4-2-2-2-22-400000000-420000222200000000000000000000000000000000
χ4444444-2-4-4-4-44-2-24-2400-2400-2-2-22-4-422-422222-4000000004-2000022-2-200000000000000000000000000000000
χ454444-24-44-44-244-24-200-2-400-2-2-2-4-2-2442-2-2-2-2-42000000002-40000222200000000000000000000000000000000
χ464444-24-4-4-4-4-244-24-200-2400-2-2-2-422-4-422222-4200000000-24000022-2-200000000000000000000000000000000
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
χ494444-2-24-44-4-2-2-2-2-2-2441-4-4-4111-22222-2-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-2-4-41-444111-22222-2-1-1-1-1-2-22222-1-1-1-122-2-2-2-211-1-111110000000000000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-2001-4001112-2-2-2-2211112200003-33-3220000-1-1-1-13-33-30000000000000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-2001-4001112-2-2-2-221111220000-33-33220000-1-1-1-1-33-330000000000000000000000000000
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
χ5544-4-44400004-44-4-4-4004000-44-40000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ5644-4-44400004-44-4-4-4004000-44-400000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ574-44-4440-404-4-4-444-4004000-4-440-44-440-4-4440000000000000000000000000000000000000000000000000000
χ584-44-44-2040-4-4224-2-400-200022-204-4-220-2-222000000000000000000000000000022−2200−22−220000000000000000
χ594-44-44-2040-4-4224-2-400-200022-204-4-220-2-2220000000000000000000000000000−2222002−22−20000000000000000
χ604-44-44-20-404-4224-2-400-200022-20-442-2022-2-200000000000000000000000000000000i6−i6−i6i60000000000000000
χ614-44-44-20-404-4224-2-400-200022-20-442-2022-2-200000000000000000000000000000000−i6i6i6−i60000000000000000
χ624-44-4-24040-42-4-4-24200-200022-20-224-40-2-222000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000000
χ634-44-4-24040-42-4-4-24200-200022-20-224-40-2-2220000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000000
χ644-44-4-240-4042-4-4-24200-200022-202-2-44022-2-20000000000000000000000000000000000006−6−66000000000000
χ654-44-4-240-4042-4-4-24200-200022-202-2-44022-2-2000000000000000000000000000000000000−666−6000000000000
χ664-4-444-240-40-4-22-42400-204i−4i-222-20000400002-400000000004i−4i−2i2i-2200−2i−2i2i2i0000000000000000000000000000
χ674-4-444-240-40-4-22-42400-20−4i4i-222-20000400002-40000000000−4i4i2i−2i-22002i2i−2i−2i0000000000000000000000000000
χ684-4-444-2-4040-4-22-4244-4-2000-22220000-40000-244-4-22-2-2220000002-20000000000000000000000000000000000
χ694-4-444-2-4040-4-22-424-44-2000-22220000-40000-24-442-222-2-20000002-20000000000000000000000000000000000
χ704-4-44-2440-4024-42-4-200-204i−4i-22240000-20000-420000000000−2i2i4i−4i-2200−2i−2i2i2i0000000000000000000000000000
χ714-4-44-2440-4024-42-4-200-20−4i4i-22240000-20000-4200000000002i−2i−4i4i-22002i2i−2i−2i0000000000000000000000000000
χ724-4-44-24-404024-42-4-24-4-2000-222-40000200004-2-224-4-2-2220000002-20000000000000000000000000000000000
χ734-4-44-24-404024-42-4-2-44-2000-222-40000200004-22-2-4422-2-20000002-20000000000000000000000000000000000
χ744-4-44-2-240-402-2222-200104i−4i1-1-1-20000-23i−3i3i−3i2200003-3-3300−2i2i−2i2i1-13i−3iii−i−i0000000000000000000000000000
χ754-4-44-2-240-402-2222-200104i−4i1-1-1-20000-2−3i3i−3i3i220000-333-300−2i2i−2i2i1-1−3i3iii−i−i0000000000000000000000000000
χ764-4-44-2-240-402-2222-20010−4i4i1-1-1-20000-23i−3i3i−3i220000-333-3002i−2i2i−2i1-13i−3i−i−iii0000000000000000000000000000
χ774-4-44-2-240-402-2222-20010−4i4i1-1-1-20000-2−3i3i−3i3i2200003-3-33002i−2i2i−2i1-1−3i3i−i−iii0000000000000000000000000000
χ784-4-44-2-2-40402-2222-24-410001-1-12000023i−3i3i−3i-2-2-22-2211-1-1000000-11−3i3i3i−3i−3i3i0000000000000000000000000000
χ794-4-44-2-2-40402-2222-24-410001-1-1200002−3i3i−3i3i-2-2-22-2211-1-1000000-113i−3i−3i3i3i−3i0000000000000000000000000000
χ804-4-44-2-2-40402-2222-2-4410001-1-12000023i−3i3i−3i-2-22-22-2-1-111000000-11−3i3i−3i3i3i−3i0000000000000000000000000000
χ814-4-44-2-2-40402-2222-2-4410001-1-1200002−3i3i−3i3i-2-22-22-2-1-111000000-113i−3i3i−3i−3i3i0000000000000000000000000000
χ8288-8-88-4000084-4-84-800-40004-4400000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-480000-4-884-8400-40004-4400000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-40000-44-4444002000-22-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8588-8-8-4-40000-44-4444002000-22-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ868-88-8-4-4080-8444-4-44002000-2-220-44-44022-2-20000000000000000000000000000000000000000000000000000
χ878-88-8-4-40-808444-4-44002000-2-2204-44-40-2-2220000000000000000000000000000000000000000000000000000

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