Finite Group Databasebeta

← Group #11888611

Character table — Group #11888611

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order12223344666666223666881212121246666121224242424242424242444121212126612121212442444688121212121224242424244886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111-1-1111111-1-11-1-1111-1-111-1-111-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-111-1-1-111111111-1-1-111-1-1-111-1-111-1-111-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-111-1-111111-1-1-1-11-1-1-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1111-11-111-1-1-1-111-11111-11-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-1-11-11-1-11111-1-1-111111-1-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-111-1-1-1-1-111111-1-1-1-1111
χ911111111111111-1-11111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-1
χ1011111111111111-1-11111111111-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-111-1-1-111
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-111-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11111-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111111-11-11-1-11-1-1-1-1-1-1-1-1111-1-111-1
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-11-11-1-1-111-1-111-1-1-1111-11
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-11-1111-1-111-1-1-1-1-111-111
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-111-111111111111-1-1-1-1-1
χ17222222-2-222222200222200-2-2-2-200000-2-20000000022-2-2-2-222000000-2-20000200-20000000020000000
χ18222222-2-222222200222200-2-2-2-200000-2-2000000002-22-2-2-2-2-2000000220000200200000000-20000000
χ19222222-2-222222200222200-2-2-2-200000-2-200000000-22-222222000000220000-200-200000000-20000000
χ20222222-2-222222200222200-2-2-2-200000-2-200000000-2-22222-2-2000000-2-20000-20020000000020000000
χ2122222-122-12-12-1222-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-12002-1-100-1-1-12-1-1002002-1200-1-100-1-10000000-100
χ2222222-122-12-12-1222-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-200-21100-1-1-12-1-100-200-21-2001100110000000100
χ2322222-122-12-12-1222-1-1-1-1-2-22-1-12-222-1-1-1-111-2-211112002-1-100-1-11-21100-2002-1-200-1-100110000000100
χ2422222-122-12-12-1222-1-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-200-21100-1-11-21100200-212001100-1-10000000-100
χ2522222-122-12-12-12-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-12002-1-100111-21100-200-2-12001100-1-10000000100
χ2622222-122-12-12-12-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-200-21100111-2110020021-200-1-100110000000-100
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-211112002-1-10011-12-1-100200-2-1-2001100110000000-100
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-21111-200-2110011-12-1-100-20021200-1-100-1-10000000100
χ292222-12222-12-12-122-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-1022000-1-1-1-12-1-1-1000220002-100-1-100-1-1000000-10
χ302222-12222-12-12-122-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10-2-200011-1-12-1-1-1000-2-2000-210011001100000010
χ312222-12222-12-12-122-1-1-1-1-2-2-122-1-2-1-122-1-1-2-2111111022000-1-1-1-1-21110002-2000-2-100-1-1001100000010
χ322222-12222-12-12-122-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110-2-200011-1-1-2111000-2200021001100-1-1000000-10
χ332222-12222-12-12-1-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1022000-1-111-2111000-2-20002-1001100-1-100000010
χ342222-12222-12-12-1-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10-2-20001111-211100022000-2100-1-10011000000-10
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-2111111022000-1-1112-1-1-1000-22000-2-100110011000000-10
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-21111110-2-200011112-1-1-10002-20002100-1-100-1-100000010
χ372-2-22222-2-22-2-22-22-22-22-2002-22-202-22-22-200000000000000002-2000000000000000000000002i−2i2i−2i000
χ382-2-22222-2-22-2-22-22-22-22-2002-22-202-22-22-200000000000000002-200000000000000000000000−2i2i−2i2i000
χ392-2-22222-2-22-2-22-2-222-22-2002-22-20-22-222-20000000000000000-22000000000000000000000002i−2i−2i2i000
χ402-2-22222-2-22-2-22-2-222-22-2002-22-20-22-222-20000000000000000-2200000000000000000000000−2i2i2i−2i000
χ4144444-2-4-4-24-24-2400-2-2-2-200-422-4000002200000000400-42200000000000000-20000000000000000000
χ4244444-2-4-4-24-24-2400-2-2-2-200-422-4000002200000000-4004-2-20000000000000020000000000000000000
χ434444-24-4-44-24-24-200-2-2-2-2002-4-4200000220000000004-4000-2-200000000000000020000000000000000
χ444444-24-4-44-24-24-200-2-2-2-2002-4-420000022000000000-4400022000000000000000-20000000000000000
χ454444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-211110000000011-2-21100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-1000000001122-1-100000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-2111100000000-1-122-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-100000000-1-1-2-21100000000000000000000000000
χ4944-4-44400-4-44-4-44004-4-44000000000000000000000000000000000004i−4i000000000000000000000000
χ5044-4-44400-4-44-4-44004-4-4400000000000000000000000000000000000−4i4i000000000000000000000000
χ514-44-444004-4-44-4-40044-4-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000
χ524-44-444004-4-44-4-40044-4-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000
χ534-44-44-200-2-4242-400-2-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i2000023−230000000000000000000000i6−i60000000000
χ544-44-44-200-2-4242-400-2-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i20000−23230000000000000000000000−i6i60000000000
χ554-44-44-200-2-4242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i2000023−230000000000000000000000−i6i60000000000
χ564-44-44-200-2-4242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i20000−23230000000000000000000000i6−i60000000000
χ574-44-4-240042-4-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i200000023−230000000000000000000000i6−i600000000
χ584-44-4-240042-4-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000000−23230000000000000000000000−i6i600000000
χ594-44-4-240042-4-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i200000023−230000000000000000000000−i6i600000000
χ604-44-4-240042-4-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000000−23230000000000000000000000i6−i600000000
χ614-4-4444-44-44-4-44-4004-44-400-44-4400000-44000000000000000000000000000000000000000000000000
χ624-4-444-24-4242-4-2-44-4-22-220042-2-404-4-22-220000000000000000-22000000000000000000000000000000
χ634-4-444-24-4242-4-2-4-44-22-220042-2-40-442-2-2200000000000000002-2000000000000000000000000000000
χ644-4-444-2-44242-4-2-400-22-2200-4-224000002-200000000000000000000000000000000−2i32i300000000000000
χ654-4-444-2-44242-4-2-400-22-2200-4-224000002-2000000000000000000000000000000002i3−2i300000000000000
χ664-4-44-244-4-4-2-42424-4-22-2200-2-4420-224-4-220000000000000000-22000000000000000000000000000000
χ674-4-44-244-4-4-2-4242-44-22-2200-2-44202-2-44-2200000000000000002-2000000000000000000000000000000
χ684-4-44-24-44-4-2-424200-22-220024-4-2000002-2000000000000000000000000000000000023−23000000000000
χ694-4-44-24-44-4-2-424200-22-220024-4-2000002-20000000000000000000000000000000000−2323000000000000
χ704-4-44-2-24-42-222-224-41-11-100-22-220-22-221-100003i−3i3i−3i000000001-1003i−3i00000000000000000000000000
χ714-4-44-2-24-42-222-224-41-11-100-22-220-22-221-10000−3i3i−3i3i000000001-100−3i3i00000000000000000000000000
χ724-4-44-2-24-42-222-22-441-11-100-22-2202-22-21-100003i−3i3i−3i00000000-1100−3i3i00000000000000000000000000
χ734-4-44-2-24-42-222-22-441-11-100-22-2202-22-21-10000−3i3i−3i3i00000000-11003i−3i00000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4800-8484-8-400-444-40000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-40044-444-4002-2-220000000000000000032−32−32320000000000000000000000000000000000000000
χ7888-8-8-4-40044-444-4002-2-2200000000000000000−323232−320000000000000000000000000000000000000000
χ798-88-8-4-400-444-4440022-2-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ808-88-8-4-400-444-4440022-2-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ818-8-88-4-4-884-444-44002-22-2004-44-400000-22000000000000000000000000000000000000000000000000

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