Finite Group Databasebeta

← Group #11870389

Character table — Group #11870389

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order12223344666666344666881212121241212121212122424242424242424224444441212121212121212121222444466881212121224242424448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-111-1-1111111-1-1-1-11-11-11-111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-11-1-111-1-111111111-1-1-1-1-11-11-11-1-111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-111-1-1-1-11-11-1-11-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-111-1-1-1-1-11-111-111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-20000-2-2-2-2000000-2-222002200000000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2-220000-2-22200000022-2-2002-200000000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-222-2000022-2-200000022-2-200-2200000000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-22200002222000000-2-22200-2-200000000000000000
χ2122222-12222-1-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10202002200-1-12-1-1-1-1-10000020-10200-1-100-1-100000-10
χ2222222-12222-1-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10-20-200-2-200112-1-1-1-1-100000-2010-2001100110000010
χ2322222-12222-1-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110202002200-1-1-21-1-11100000-20-10-200-1-100110000010
χ2422222-12222-1-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110-20-200-2-20011-21-1-1110000020102001100-1-100000-10
χ2522222-12222-1-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1020200-2-200-1-1-21111100000-20-102001100-1-10000010
χ2622222-12222-1-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10-20-200220011-211111000002010-200-1-1001100000-10
χ2722222-12222-1-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-2111111020200-2-200-1-12-111-1-10000020-10-20011001100000-10
χ2822222-12222-1-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-21111110-20-2002200112-111-1-100000-2010200-1-100-1-10000010
χ292222-1222-1-122-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-120202200-1-100-12-1-1-1-1000020-1020-1-100-1-1000000-100
χ302222-1222-1-122-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-20-20-2-2001100-12-1-1-1-10000-2010-20110011000000100
χ312222-1222-1-122-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-2111120202200-1-1001-2-1-1110000-20-10-20-1-10011000000100
χ322222-1222-1-122-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-20-20-2-20011001-2-1-11100002010201100-1-1000000-100
χ332222-1222-1-122-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-12020-2-200-1-1001-211110000-20-10201100-1-1000000100
χ342222-1222-1-122-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-20-20220011001-2111100002010-20-1-10011000000-100
χ352222-1222-1-122-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-211112020-2-200-1-100-1211-1-1000020-10-20110011000000-100
χ362222-1222-1-122-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-21111-20-2022001100-1211-1-10000-201020-1-100-1-1000000100
χ372-22-2222-22-22-2-2-222i−2i-2-2200-2-22202i−2i2i−2i2-200000000000000000000002i−2i002-22-2000000000000002i−2i00000
χ382-22-2222-22-22-2-2-222i−2i-2-2200-2-22202i−2i2i−2i2-200000000000000000000002i−2i00-22-2200000000000000−2i2i00000
χ392-22-2222-22-22-2-2-22−2i2i-2-2200-2-2220−2i2i−2i2i2-20000000000000000000000−2i2i002-22-200000000000000−2i2i00000
χ402-22-2222-22-22-2-2-22−2i2i-2-2200-2-2220−2i2i−2i2i2-20000000000000000000000−2i2i00-22-22000000000000002i−2i00000
χ412-22-222-222-22-2-2-2200-2-220022-2-200000-220000000000002i−2i2i−2i00000000002-2-220000002i−2i2i−2i00000000000
χ422-22-222-222-22-2-2-2200-2-220022-2-200000-220000000000002i−2i−2i2i0000000000-222-20000002i−2i−2i2i00000000000
χ432-22-222-222-22-2-2-2200-2-220022-2-200000-22000000000000−2i2i2i−2i0000000000-222-2000000−2i2i2i−2i00000000000
χ442-22-222-222-22-2-2-2200-2-220022-2-200000-22000000000000−2i2i−2i2i00000000002-2-22000000−2i2i−2i2i00000000000
χ4544444-2-4-444-2-24-2-200-2-2-200-42-42000002200000000040-4000000220000000000000-200000000000000000
χ4644444-2-4-444-2-24-2-200-2-2-200-42-420000022000000000-404000000-2-20000000000000200000000000000000
χ474444-24-4-4-2-244-24-200-2-2-2002-42-400000220000000040-4000002200000000000000-2000000000000000000
χ484444-24-4-4-2-244-24-200-2-2-2002-42-4000002200000000-40400000-2-2000000000000002000000000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-44400-4-4-4-444400-44-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000000
χ5444-4-44400-4-4-4-444400-44-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000000
χ5544-4-44-200-4-4224-2-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000000000023−230000000000000000000000i6−i60000000
χ5644-4-44-200-4-4224-2-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000000000−23230000000000000000000000−i6i60000000
χ5744-4-44-200-4-4224-2-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000000000023−230000000000000000000000−i6i60000000
χ5844-4-44-200-4-4224-2-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000000000−23230000000000000000000000i6−i60000000
χ5944-4-4-240022-4-4-24-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i20000000023−230000000000000000000000i6−i6000000000
χ6044-4-4-240022-4-4-24-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000000−23230000000000000000000000−i6i6000000000
χ6144-4-4-240022-4-4-24-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i20000000023−230000000000000000000000−i6i6000000000
χ6244-4-4-240022-4-4-24-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000000−23230000000000000000000000i6−i6000000000
χ634-44-44-24-44-4-22-42-24i−4i22-200-424-204i−4i−2i2i-220000000000000000000000−2i2i000000000000000000000000000
χ644-44-44-24-44-4-22-42-2−4i4i22-200-424-20−4i4i2i−2i-2200000000000000000000002i−2i000000000000000000000000000
χ654-44-44-2-444-4-22-42-20022-2004-2-42000002-2000000000000004i−4i0000000000000000000000−2i2i00000000000
χ664-44-44-2-444-4-22-42-20022-2004-2-42000002-200000000000000−4i4i00000000000000000000002i−2i00000000000
χ674-44-4-244-4-224-42-4-24i−4i22-2002-4-240−2i2i4i−4i-220000000000000000000000−2i2i000000000000000000000000000
χ684-44-4-244-4-224-42-4-2−4i4i22-2002-4-2402i−2i−4i4i-2200000000000000000000002i−2i000000000000000000000000000
χ694-44-4-24-44-224-42-4-20022-200-242-4000002-20000000000004i−4i0000000000000000000000−2i2i0000000000000
χ704-44-4-24-44-224-42-4-20022-200-242-4000002-2000000000000−4i4i00000000000000000000002i−2i0000000000000
χ714-44-4-2-24-4-22-222214i−4i-1-110022-2-20−2i2i−2i2i1-100003i−3i3i−3i00000000000000i−i3-30000000000000000000000000
χ724-44-4-2-24-4-22-222214i−4i-1-110022-2-20−2i2i−2i2i1-10000−3i3i−3i3i00000000000000i−i-330000000000000000000000000
χ734-44-4-2-24-4-22-22221−4i4i-1-110022-2-202i−2i2i−2i1-100003i−3i3i−3i00000000000000−ii-330000000000000000000000000
χ744-44-4-2-24-4-22-22221−4i4i-1-110022-2-202i−2i2i−2i1-10000−3i3i−3i3i00000000000000−ii3-30000000000000000000000000
χ754-4-444400-44-44-4-44004-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ764-4-444400-44-44-4-44004-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004444-4-4200-22-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ7988-8-8-4-4004444-4-4200-22-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ808-88-8-4-4-88-44-4444200-2-2200-4-44400000-22000000000000000000000000000000000000000000000000000
χ818-8-888-400-884-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-4-884-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-44-4442002-2-20000000000000000032−32−32320000000000000000000000000000000000000000000
χ848-8-88-4-4004-44-4442002-2-200000000000000000−323232−320000000000000000000000000000000000000000000

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