Finite Group Databasebeta

← Group #11884014

Character table — Group #11884014

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order12223344666666344666881212121221212121212122424242424242424244412121212666612122222446668812121224242424224886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-111111111-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-111-111-1-1111111-1-1-11-11-1-1-1-11111-1-111-1-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11111-1-1111-1-1-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-111-1-1111-11-1-1-1-1-11111-1111-1-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1-1-1-111-1-1-11-111111-1-111-111-11-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-1-1-11111-1-11-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11-1-1111-1-11111-1-1111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-11111-1-111-1-1-11-11
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-11-11-1-111-111-1-1-1-11111-1-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-1-111111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-111-11-1-1-1-11-1-1-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1111-1-1-11-111-1-111-1-1-111-111
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-111-1-1-1111-11-1-111-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11-11111-1111111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-222-2-2000000-2-2000020000-200000000200000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-22-2-2-2-2-200000022000020000200000000-200000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-22-222222000000220000-20000-200000000-200000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-222-2-222000000-2-20000-20000200000000200000
χ2122222-122-122-1-12-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1200200-1-12-1-1-1-1-1002020-1-1-120000-1-100000000-10
χ2222222-122-122-1-12-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-200-200112-1-1-1-1-100-20-20111-20000110000000010
χ2322222-122-122-1-12-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111200200-1-1-2111-1-10020-20-1-1-1-20000110000000010
χ2422222-122-122-1-12-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-200-20011-2111-1-100-202011120000-1-100000000-10
χ2522222-122-122-1-12-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1200200-1-1-21111100-20-20-11120000-1-10000000010
χ2622222-122-122-1-12-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-200-20011-2111110020201-1-1-200001100000000-10
χ2722222-122-122-1-12-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111200200-1-12-1-1-11100-2020-111-200001100000000-10
χ2822222-122-122-1-12-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111-200-200112-1-1-1110020-201-1-120000-1-10000000010
χ292222-12222-1-122-1-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10220-1-100-12-1-1-1-100020200002-1-1-100-1-100000-100
χ302222-12222-1-122-1-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10-2-201100-12-1-1-1-1000-20-20000-2111001100000100
χ312222-12222-1-122-1-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110220-1-1001-211-1-1000-2020000-2-1-1-1001100000100
χ322222-12222-1-122-1-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110-2-2011001-211-1-100020-20000211100-1-100000-100
χ332222-12222-1-122-1-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10220-1-1001-21111000-20-200002-11100-1-100000100
χ342222-12222-1-122-1-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10-2-2011001-211110002020000-21-1-1001100000-100
χ352222-12222-1-122-1-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111110220-1-100-12-1-11100020-20000-2-111001100000-100
χ362222-12222-1-122-1-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111110-2-201100-12-1-111000-202000021-1-100-1-100000100
χ372-2-2222-22-22-22-2-222-2-2-2200-22-2202-22-2-22000000000000000000002-20000000000000000002-202-2000
χ382-2-2222-22-22-22-2-222-2-2-2200-22-2202-22-2-22000000000000000000002-2000000000000000000-220-22000
χ392-2-2222-22-22-22-2-22-22-2-2200-22-220-22-22-2200000000000000000000-220000000000000000002-20-22000
χ402-2-2222-22-22-22-2-22-22-2-2200-22-220-22-22-2200000000000000000000-22000000000000000000-2202-2000
χ4144444-2-4-4-244-2-24-200-2-2-200-422-4000002200000000400-40022000000000000-20000000000000000000
χ4244444-2-4-4-244-2-24-200-2-2-200-422-4000002200000000-400400-2-200000000000020000000000000000000
χ434444-24-4-44-2-244-2-200-2-2-2002-4-4200000220000000004-40-2-20000000000000000000200000000000000
χ444444-24-4-44-2-244-2-200-2-2-2002-4-420000022000000000-440220000000000000000000-200000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000022-1-11100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-211-1-100000000000000000000000000
χ4944-4-444004-44-4-4-44004-4-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000
χ5044-4-444004-44-4-4-44004-4-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000
χ5144-4-44-200-2-4422-4-200-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000023−2300000000000000000000i6−i60000000000
χ5244-4-44-200-2-4422-4-200-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i2000000−232300000000000000000000−i6i60000000000
χ5344-4-44-200-2-4422-4-200-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000023−2300000000000000000000−i6i60000000000
χ5444-4-44-200-2-4422-4-200-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i2000000−232300000000000000000000i6−i60000000000
χ5544-4-4-240042-2-4-42-200-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000−2i32i30000000000000000000000006−600000000
χ5644-4-4-240042-2-4-42-200-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i200002i3−2i3000000000000000000000000−6600000000
χ5744-4-4-240042-2-4-42-200-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000−2i32i3000000000000000000000000−6600000000
χ5844-4-4-240042-2-4-42-200-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i200002i3−2i30000000000000000000000006−600000000
χ594-44-44400-4-4-4-444400-44-4000000000000000000000000000000000004-4000000000000000000000000
χ604-44-44400-4-4-4-444400-44-400000000000000000000000000000000000-44000000000000000000000000
χ614-4-44444-4-44-44-4-4400-4-44004-44-4000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-424-4-22-4-20022-20042-2-400000-2200000000000000000000000000000−2i32i300000000000000000
χ634-4-444-24-424-4-22-4-20022-20042-2-400000-22000000000000000000000000000002i3−2i300000000000000000
χ644-4-444-2-4424-4-22-4-24-422-200-4-22404-4-222-200000000000000000000-2200000000000000000000000000
χ654-4-444-2-4424-4-22-4-2-4422-200-4-2240-442-22-2000000000000000000002-200000000000000000000000000
χ664-4-44-244-4-4-224-42-20022-200-2-44200000-22000000000000000000000000000000000023−23000000000000
χ674-4-44-244-4-4-224-42-20022-200-2-44200000-220000000000000000000000000000000000−2323000000000000
χ684-4-44-24-44-4-224-42-24-422-20024-4-20-224-42-200000000000000000000-2200000000000000000000000000
χ694-4-44-24-44-4-224-42-2-4422-20024-4-202-2-442-2000000000000000000002-200000000000000000000000000
χ704-4-44-2-2-442-22-22214-4-1-11002-22-20-22-22-1100003-33-300000000003-31-100000000000000000000000000
χ714-4-44-2-2-442-22-22214-4-1-11002-22-20-22-22-110000-33-330000000000-331-100000000000000000000000000
χ724-4-44-2-2-442-22-2221-44-1-11002-22-202-22-2-1100003-33-30000000000-33-1100000000000000000000000000
χ734-4-44-2-2-442-22-2221-44-1-11002-22-202-22-2-110000-33-3300000000003-3-1100000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-44-44442002-2-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ7688-8-8-4-400-44-44442002-2-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ778-88-88-4004-8-84-48-4004-440000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-844-88-4-4004-440000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004444-4-4200-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ808-88-8-4-4004444-4-4200-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ818-8-88-4-48-84-44-444200-2-2200-44-44000002-2000000000000000000000000000000000000000000000000

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