Finite Group Databasebeta

← Group #11866189

Character table — Group #11866189

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order12223344666666223666881212121226666121224242424242424244444444412121212666666224424881212121212122424242422886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-11-11-11-111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-11-11-11-1-111-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11-111-111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11-11-1-11-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-111-1
χ911111111111111-1-11111111111-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1
χ1011111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-111
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-111-1-111111111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200000-2-2000000002-2002-200222200000022-2-20000-2-2000000000000000
χ18222222-2-222222200222200-2-2-2-200000-2-2000000002-200-220022-2-2000000-2-2220000-22000000000000000
χ19222222-2-222222200222200-2-2-2-200000-2-200000000-22002-200-2-222000000-2-22200002-2000000000000000
χ20222222-2-222222200222200-2-2-2-200000-2-200000000-2200-2200-2-2-2-200000022-2-2000022000000000000000
χ2122222-122-12-122-122-1-1-1-122-12-12222-1-1-1-122-1-1-1-1-1-122220000-1-1002-1-1-1-1-100002020-10-1-100-1-1000000-100
χ2222222-122-12-122-122-1-1-1-122-12-12222-1-1-1-122-1-1-1-1-1-1-2-2-2-2000011002-1-1-1-1-10000-20-2010110011000000100
χ2322222-122-12-122-122-1-1-1-1-2-2-12-12-222-1-1-1-1-2-211111122220000-1-100-21-1-1110000-20-20-10-1-10011000000100
χ2422222-122-12-122-122-1-1-1-1-2-2-12-12-222-1-1-1-1-2-2111111-2-2-2-200001100-21-1-11100002020101100-1-1000000-100
χ2522222-122-12-122-1-2-2-1-1-1-122-12-12-2-2-211-1-122-1-1-1-1-1-122-2-20000-1-100-2111110000-2020-101100-1-1000000100
χ2622222-122-12-122-1-2-2-1-1-1-122-12-12-2-2-211-1-122-1-1-1-1-1-1-2-22200001100-211111000020-2010-1-10011000000-100
χ2722222-122-12-122-1-2-2-1-1-1-1-2-2-12-122-2-211-1-1-2-211111122-2-20000-1-1002-111-1-1000020-20-10110011000000-100
χ2822222-122-12-122-1-2-2-1-1-1-1-2-2-12-122-2-211-1-1-2-2111111-2-222000011002-111-1-10000-202010-1-100-1-1000000100
χ292222-12222-12-1-1222-1-1-1-1222-12-12-1-122-1-1-1-122-1-1-1-10000222200-1-1-12-1-1-1-1000002020-100-1-100-1-100000-10
χ302222-12222-12-1-1222-1-1-1-1222-12-12-1-122-1-1-1-122-1-1-1-10000-2-2-2-20011-12-1-1-1-100000-20-201001100110000010
χ312222-12222-12-1-1222-1-1-1-1-2-22-12-1-2-1-122-1-111-2-211110000222200-1-11-2-1-11100000-20-20-100-1-100110000010
χ322222-12222-12-1-1222-1-1-1-1-2-22-12-1-2-1-122-1-111-2-211110000-2-2-2-200111-2-1-1110000020201001100-1-100000-10
χ332222-12222-12-1-12-2-2-1-1-1-1222-12-1-211-2-2-1-1-1-122-1-1-1-1000022-2-200-1-11-2111100000-2020-1001100-1-10000010
χ342222-12222-12-1-12-2-2-1-1-1-1222-12-1-211-2-2-1-1-1-122-1-1-1-10000-2-22200111-211110000020-20100-1-1001100000-10
χ352222-12222-12-1-12-2-2-1-1-1-1-2-22-12-1211-2-2-1-111-2-21111000022-2-200-1-1-1211-1-10000020-20-10011001100000-10
χ362222-12222-12-1-12-2-2-1-1-1-1-2-22-12-1211-2-2-1-111-2-211110000-2-2220011-1211-1-100000-2020100-1-100-1-10000010
χ372-2-22222-22-2-22-2-2002-2-220022-2-2000002-200000000002i−2i002i−2i00000000002-22-20000002i−2i2i−2i00000000000
χ382-2-22222-22-2-22-2-2002-2-220022-2-2000002-200000000002i−2i00−2i2i0000000000-22-220000002i−2i−2i2i00000000000
χ392-2-22222-22-2-22-2-2002-2-220022-2-2000002-20000000000−2i2i002i−2i0000000000-22-22000000−2i2i2i−2i00000000000
χ402-2-22222-22-2-22-2-2002-2-220022-2-2000002-20000000000−2i2i00−2i2i00000000002-22-2000000−2i2i−2i2i00000000000
χ412-2-2222-222-2-22-2-22-22-2-2200-2-22202-22-2-2200000000000000000000002-2002-2-22000000000000002-200000
χ422-2-2222-222-2-22-2-22-22-2-2200-2-22202-22-2-2200000000000000000000002-200-222-200000000000000-2200000
χ432-2-2222-222-2-22-2-2-222-2-2200-2-2220-22-22-220000000000000000000000-22002-2-2200000000000000-2200000
χ442-2-2222-222-2-22-2-2-222-2-2200-2-2220-22-22-220000000000000000000000-2200-222-2000000000000002-200000
χ4544444-2-4-4-24-244-200-2-2-2-2002-42-40000022000000004-4000000-2-2000000000000000020000000000000000
χ4644444-2-4-4-24-244-200-2-2-2-2002-42-4000002200000000-44000000220000000000000000-20000000000000000
χ474444-24-4-44-24-2-2400-2-2-2-200-42-4200000220000000000004-40000-2-20000000000000002000000000000000
χ484444-24-4-44-24-2-2400-2-2-2-200-42-420000022000000000000-44000022000000000000000-2000000000000000
χ494444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-44400-44-4-4-440044-4-422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000000
χ5444-4-44400-44-4-4-440044-4-4−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000000
χ5544-4-44-200242-4-4-200-2-22222−220000000000022−22−22−2−22200000000−2i32i30000000000000000000000i6−i6000000000
χ5644-4-44-200242-4-4-200-2-22222−220000000000022−22−22−2−222000000002i3−2i30000000000000000000000−i6i6000000000
χ5744-4-44-200242-4-4-200-2-222−222200000000000−22222−222−2−200000000−2i32i30000000000000000000000−i6i6000000000
χ5844-4-44-200242-4-4-200-2-222−222200000000000−22222−222−2−2000000002i3−2i30000000000000000000000i6−i6000000000
χ5944-4-4-2400-4-2-422400-2-22222−2200000000000−2222−22−2−222000000000023−2300000000000000000000006−60000000
χ6044-4-4-2400-4-2-422400-2-22222−2200000000000−2222−22−2−2220000000000−23230000000000000000000000−660000000
χ6144-4-4-2400-4-2-422400-2-222−2222000000000002−2−222222−2−2000000000023−230000000000000000000000−660000000
χ6244-4-4-2400-4-2-422400-2-222−2222000000000002−2−222222−2−20000000000−232300000000000000000000006−60000000
χ634-44-44400-4-44-44-4004-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ644-44-44400-4-44-44-4004-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ654-4-444-24-4-2-424-4200-222-200-242-400000-2200000000004i−4i000000000000000000000000−2i2i0000000000000
χ664-4-444-24-4-2-424-4200-222-200-242-400000-220000000000−4i4i0000000000000000000000002i−2i0000000000000
χ674-4-444-2-44-2-424-424-4-222-2002-4-2404-4-222-20000000000000000000000-22000000000000000000000000000
χ684-4-444-2-44-2-424-42-44-222-2002-4-240-442-22-200000000000000000000002-2000000000000000000000000000
χ694-4-44-244-442-4-22-400-222-2004-2-4200000-22000000000000004i−4i0000000000000000000000−2i2i00000000000
χ704-4-44-244-442-4-22-400-222-2004-2-4200000-2200000000000000−4i4i00000000000000000000002i−2i00000000000
χ714-4-44-24-4442-4-22-44-4-222-200-424-20-224-42-20000000000000000000000-22000000000000000000000000000
χ724-4-44-24-4442-4-22-4-44-222-200-424-202-2-442-200000000000000000000002-2000000000000000000000000000
χ734-4-44-2-2-44-222-2224-41-1-110022-2-20-22-22-1100003-33-3000000000000001-13-30000000000000000000000000
χ744-4-44-2-2-44-222-2224-41-1-110022-2-20-22-22-110000-33-33000000000000001-1-330000000000000000000000000
χ754-4-44-2-2-44-222-222-441-1-110022-2-202-22-2-1100003-33-300000000000000-11-330000000000000000000000000
χ764-4-44-2-2-44-222-222-441-1-110022-2-202-22-2-110000-33-3300000000000000-113-30000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-4444-40022-2-242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ7988-8-8-4-4004-4444-40022-2-2−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ808-88-88-4004-8-4-88400-44-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-8484-4-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-44002-22-20000000000000000032−32−32320000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-44002-22-200000000000000000−323232−320000000000000000000000000000000000000000000
χ848-8-88-4-48-8-444-444002-2-2200-4-444000002-2000000000000000000000000000000000000000000000000000

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