Finite Group Databasebeta

← Group #11866264

Character table — Group #11866264

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666662236668812121212466661212242424242424242444444444121212126612121212224424881212121212122424242422886124
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-111-111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-11-1-11-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1
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
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-11
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
χ2122222-1222-1-122-122-1-1-1-122-12-12222-1-1-1-122-1-1-1-1-1-122220000-1-100-1-1-12-1-100002020-10-1-100-1-1000000-100
χ2222222-1222-1-122-122-1-1-1-122-12-12222-1-1-1-122-1-1-1-1-1-1-2-2-2-200001100-1-1-12-1-10000-20-2010110011000000100
χ2322222-1222-1-122-122-1-1-1-1-2-2-12-12-222-1-1-1-1-2-211111122220000-1-100-1-11-2110000-20-20-10-1-10011000000100
χ2422222-1222-1-122-122-1-1-1-1-2-2-12-12-222-1-1-1-1-2-2111111-2-2-2-200001100-1-11-21100002020101100-1-1000000-100
χ2522222-1222-1-122-1-2-2-1-1-1-122-12-12-2-2-211-1-122-1-1-1-1-1-122-2-20000-1-100111-2110000-2020-101100-1-1000000100
χ2622222-1222-1-122-1-2-2-1-1-1-122-12-12-2-2-211-1-122-1-1-1-1-1-1-2-22200001100111-211000020-2010-1-10011000000-100
χ2722222-1222-1-122-1-2-2-1-1-1-1-2-2-12-122-2-211-1-1-2-211111122-2-20000-1-10011-12-1-1000020-20-10110011000000-100
χ2822222-1222-1-122-1-2-2-1-1-1-1-2-2-12-122-2-211-1-1-2-2111111-2-2220000110011-12-1-10000-202010-1-100-1-1000000100
χ292222-1222-122-1-1222-1-1-1-1222-12-12-1-122-1-1-1-122-1-1-1-10000222200-1-1-1-12-1-1-1000002020-100-1-100-1-100000-10
χ302222-1222-122-1-1222-1-1-1-1222-12-12-1-122-1-1-1-122-1-1-1-10000-2-2-2-20011-1-12-1-1-100000-20-201001100110000010
χ312222-1222-122-1-1222-1-1-1-1-2-22-12-1-2-1-122-1-111-2-211110000222200-1-1-1-1-211100000-20-20-100-1-100110000010
χ322222-1222-122-1-1222-1-1-1-1-2-22-12-1-2-1-122-1-111-2-211110000-2-2-2-20011-1-1-21110000020201001100-1-100000-10
χ332222-1222-122-1-12-2-2-1-1-1-1222-12-1-211-2-2-1-1-1-122-1-1-1-1000022-2-200-1-111-211100000-2020-1001100-1-10000010
χ342222-1222-122-1-12-2-2-1-1-1-1222-12-1-211-2-2-1-1-1-122-1-1-1-10000-2-222001111-21110000020-20100-1-1001100000-10
χ352222-1222-122-1-12-2-2-1-1-1-1-2-22-12-1211-2-2-1-111-2-21111000022-2-200-1-1112-1-1-10000020-20-10011001100000-10
χ362222-1222-122-1-12-2-2-1-1-1-1-2-22-12-1211-2-2-1-111-2-211110000-2-2220011112-1-1-100000-2020100-1-100-1-10000010
χ372-2-22222-2-22-22-2-2002-2-220022-2-2000002-200000000002i−2i002i−2i00000000002-22-20000002i−2i2i−2i00000000000
χ382-2-22222-2-22-22-2-2002-2-220022-2-2000002-200000000002i−2i00−2i2i0000000000-22-220000002i−2i−2i2i00000000000
χ392-2-22222-2-22-22-2-2002-2-220022-2-2000002-20000000000−2i2i002i−2i0000000000-22-22000000−2i2i2i−2i00000000000
χ402-2-22222-2-22-22-2-2002-2-220022-2-2000002-20000000000−2i2i00−2i2i00000000002-22-2000000−2i2i−2i2i00000000000
χ412-2-2222-22-22-22-2-22-22-2-2200-2-22202-22-2-22000000000000000000002-200002-2-22000000000000002-200000
χ422-2-2222-22-22-22-2-22-22-2-2200-2-22202-22-2-22000000000000000000002-20000-222-200000000000000-2200000
χ432-2-2222-22-22-22-2-2-222-2-2200-2-2220-22-22-2200000000000000000000-2200002-2-2200000000000000-2200000
χ442-2-2222-22-22-22-2-2-222-2-2200-2-2220-22-22-2200000000000000000000-220000-222-2000000000000002-200000
χ4544444-2-4-44-2-244-200-2-2-2-2002-42-40000022000000004-4000000-2-2000000000000000020000000000000000
χ4644444-2-4-44-2-244-200-2-2-2-2002-42-4000002200000000-44000000220000000000000000-20000000000000000
χ474444-24-4-4-244-2-2400-2-2-2-200-42-4200000220000000000004-40000-2-20000000000000002000000000000000
χ484444-24-4-4-244-2-2400-2-2-2-200-42-420000022000000000000-44000022000000000000000-2000000000000000
χ494444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-2111100000000000011-2-2110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000001122-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-21111000000000000-1-122-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-1000000000000-1-1-2-2110000000000000000000000000
χ5344-4-444004-4-4-4-440044-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5444-4-444004-4-4-4-440044-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ554-44-44400-4-44-44-4004-44-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000000
χ564-44-44400-4-44-44-4004-44-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000000
χ574-44-44-200-42-2-44200-22-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000000023−230000000000000000000000i6−i6000000000
χ584-44-44-200-42-2-44200-22-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i200000000−23230000000000000000000000−i6i6000000000
χ594-44-44-200-42-2-44200-22-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000000023−230000000000000000000000−i6i6000000000
χ604-44-44-200-42-2-44200-22-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i200000000−23230000000000000000000000i6−i6000000000
χ614-44-4-24002-442-2-400-22-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i20000000000−2i32i300000000000000000000006−60000000
χ624-44-4-24002-442-2-400-22-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000000002i3−2i30000000000000000000000−660000000
χ634-44-4-24002-442-2-400-22-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i20000000000−2i32i30000000000000000000000−660000000
χ644-44-4-24002-442-2-400-22-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000000002i3−2i300000000000000000000006−60000000
χ654-4-444-24-4-4-224-4200-222-200-242-400000-2200000000004i−4i000000000000000000000000−2i2i0000000000000
χ664-4-444-24-4-4-224-4200-222-200-242-400000-220000000000−4i4i0000000000000000000000002i−2i0000000000000
χ674-4-444-2-44-4-224-424-4-222-2002-4-2404-4-222-200000000000000000000-2200000000000000000000000000000
χ684-4-444-2-44-4-224-42-44-222-2002-4-240-442-22-2000000000000000000002-200000000000000000000000000000
χ694-4-44-244-424-4-22-400-222-2004-2-4200000-22000000000000004i−4i0000000000000000000000−2i2i00000000000
χ704-4-44-244-424-4-22-400-222-2004-2-4200000-2200000000000000−4i4i00000000000000000000002i−2i00000000000
χ714-4-44-24-4424-4-22-44-4-222-200-424-20-224-42-200000000000000000000-2200000000000000000000000000000
χ724-4-44-24-4424-4-22-4-44-222-200-424-202-2-442-2000000000000000000002-200000000000000000000000000000
χ734-4-44-2-2-442-22-2224-41-1-110022-2-20-22-22-1100003-33-30000000000001-1003-30000000000000000000000000
χ744-4-44-2-2-442-22-2224-41-1-110022-2-20-22-22-110000-33-330000000000001-100-330000000000000000000000000
χ754-4-44-2-2-442-22-222-441-1-110022-2-202-22-2-1100003-33-3000000000000-1100-330000000000000000000000000
χ764-4-44-2-2-442-22-222-441-1-110022-2-202-22-2-110000-33-33000000000000-11003-30000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-88-400844-8-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4800-4-8-844800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-44444-40022-2-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ8188-8-8-4-400-44444-40022-2-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-44002-22-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-44002-22-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ848-8-88-4-48-84-44-444002-2-2200-4-444000002-2000000000000000000000000000000000000000000000000000

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