Finite Group Databasebeta

← Group #11781998

Character table — Group #11781998

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222444444444444444888888812121212121212121212121216161616161616161624242424242424242424242448484872727272
order12223344446666663466612121212121212121212121212121212128888242424242424242441212121212121212246688121224242424412128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111
χ92222222-2-222222222-2222-2-2-222-2-222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ102222222-2-222222222-2222-2-2-222-2-222-2-222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ11222222-222-22222222-2222222-2-2-2-2-2-22-2-2-222-2-20000000000000000000002-22200-2-200000000000
χ12222222-222-22222222-2222222-2-2-2-2-2-22-2-2-222-2-2000000000000000000000-22-2-2002200000000000
χ13222222-2-2-2-222222222222-2-2-2-2-222-2-2-22-2-2-2-222000000000000000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-2-2-222-2-2-22-2-2-2-22200000000000000000000000000000000000000−2i2i
χ1522222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-122-1-122-1-1-1-1-1-10000000
χ1622222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-1-2-211-2-21111110000000
χ1722222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1000000000000-211-2-2111122-1-1-2-2-1-111110000000
χ1822222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1000000000000-211-2-21111-2-2112211-1-1-1-10000000
χ1922222-1-222-222-1-1-12-1-2-1-1-122-111-2-2-2-2-1111-1-1110000000000000−i3i300−i3−i3i3i32-2-1-10011−i3−i3i3i30000000
χ2022222-1-222-222-1-1-12-1-2-1-1-122-111-2-2-2-2-1111-1-1110000000000000−i3i300−i3−i3i3i3-221100-1-1i3i3−i3−i30000000
χ2122222-1-222-222-1-1-12-1-2-1-1-122-111-2-2-2-2-1111-1-1110000000000000i3−i300i3i3−i3−i32-2-1-10011i3i3−i3−i30000000
χ2222222-1-222-222-1-1-12-1-2-1-1-122-111-2-2-2-2-1111-1-1110000000000000i3−i300i3i3−i3−i3-221100-1-1−i3−i3i3i30000000
χ232222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000002-1-10000
χ242222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2111111000000000000-2110000
χ252222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-1000000000000-2110000
χ262222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111-2-2-21111110000000000002-1-10000
χ272222-122-2-22-1-1222-1-1-2-1-1-111-22211-1-1-2-2-1-1111122-2-2-1-1-1-11111000−i3i3−i3i3−i3i30000000000000−i3i30000
χ282222-122-2-22-1-1222-1-1-2-1-1-111-22211-1-1-2-2-1-1111122-2-2-1-1-1-11111000i3−i3i3−i3i3−i30000000000000i3−i30000
χ292222-122-2-22-1-1222-1-1-2-1-1-111-22211-1-1-2-2-1-11111-2-2221111-1-1-1-1000−i3i3−i3i3−i3i30000000000000i3−i30000
χ302222-122-2-22-1-1222-1-1-2-1-1-111-22211-1-1-2-2-1-11111-2-2221111-1-1-1-1000i3−i3i3−i3i3−i30000000000000−i3i30000
χ312-22-222-20022-2-2-22-2202-2-20002-2002-2002-20000002-2000022-2-20000000000000−i2i200−i2i2−i2i2000−i2i200
χ322-22-222-20022-2-2-22-2202-2-20002-2002-2002-20000002-2000022-2-20000000000000i2−i200i2−i2i2−i2000i2−i200
χ332-22-222-20022-2-2-22-2202-2-20002-2002-2002-2000000-220000-2-2220000000000000−i2i200−i2i2−i2i2000i2−i200
χ342-22-222-20022-2-2-22-2202-2-20002-2002-2002-2000000-220000-2-2220000000000000i2−i200i2−i2i2−i2000−i2i200
χ3544444-24-4-4444-2-2-24-2-4-2-2-2-4-42-2-2-4-44422-2-222220000000000000000000000000000000000000000
χ3644444-2-4-4-4-444-2-2-24-24-2-2-2-4-422244-4-42-22222-2-20000000000000000000000000000000000000000
χ374444-24-444-4-2-2444-2-2-4-2-2-2-2-24-4-422224-422-2-2220000000000000000000000000000000000000000
χ384444-24-4-4-4-4-2-2444-2-24-2-2-222-4-4-4-2-222-442222-2-20000000000000000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-21111110000000000004-2-2-2-211110000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-2111111000000000000-42222-1-1-1-10000000000000000000
χ414444-2-24-4-44-2-2-2-2-2-21-4111222-2-222-2-22211-1-1-1-1000000000000000−2i32i3i3−i3i3−i30000000000000000000
χ424444-2-24-4-44-2-2-2-2-2-21-4111222-2-222-2-22211-1-1-1-10000000000000002i3−2i3−i3i3−i3i30000000000000000000
χ434444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2222222-22-1-111-1-10000000000000−2i32i300i3i3−i3−i30000000000000000000
χ444444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2222222-22-1-111-1-100000000000002i3−2i300−i3−i3i3i30000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222-2-1-1-1-111000000000000000003-3-330000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222-2-1-1-1-11100000000000000000-333-30000000000000000000
χ4744-4-44404-40-444-4-4-440-44-44-4-400000040004-4000000000000000000000000000000000000000000
χ4844-4-4440-440-444-4-4-440-44-4-444000000-4000-44000000000000000000000000000000000000000000
χ4944-4-44-204-40-44-222-4-202-224-42000000-2000-220000000000000000000000000000023−2300000000000
χ5044-4-44-204-40-44-222-4-202-224-42000000-2000-2200000000000000000000000000000−232300000000000
χ5144-4-44-20-440-44-222-4-202-22-44-200000020002-20000000000000000000000000−2i32i3000000000000000
χ5244-4-44-20-440-44-222-4-202-22-44-200000020002-200000000000000000000000002i3−2i3000000000000000
χ5344-4-4-2404-402-24-4-42-202-22-22-40000004000-22000000i6i6−i6−i6i6−i6i6−i60000000000000000000000000000
χ5444-4-4-2404-402-24-4-42-202-22-22-40000004000-22000000−i6−i6i6i6−i6i6−i6i60000000000000000000000000000
χ5544-4-4-240-4402-24-4-42-202-222-24000000-40002-2000000i6i6−i6−i6−i6i6−i6i60000000000000000000000000000
χ5644-4-4-240-4402-24-4-42-202-222-24000000-40002-2000000−i6−i6i6i6i6−i6i6−i60000000000000000000000000000
χ574-44-444400-44-4-4-44-4404-4-4000-4400-4400-4400000000000000000000000000000000000000000000
χ584-44-44-2400-44-422-2-4-20-2220002-200-44002-20000000000000000000000000000000006−6−660000000
χ594-44-44-2400-44-422-2-4-20-2220002-200-44002-2000000000000000000000000000000000−666−60000000
χ604-44-44-2-40044-422-2-4-20-222000-22004-400-2200000000000000000000000000000−2i22i200i2−i2i2−i20000000
χ614-44-44-2-40044-422-2-4-20-222000-22004-400-22000000000000000000000000000002i2−2i200−i2i2−i2i20000000
χ624-44-4-24400-4-22-4-442-20-222000-44002-2002-200000000−2i32i3−2i32i300000000000000000000000000000000
χ634-44-4-24400-4-22-4-442-20-222000-44002-2002-2000000002i3−2i32i3−2i300000000000000000000000000000000
χ644-44-4-24-4004-22-4-442-20-2220004-400-2200-220000004-40000-2-2220000000000000000000000000000
χ654-44-4-24-4004-22-4-442-20-2220004-400-2200-22000000-44000022-2-20000000000000000000000000000
χ664-4-44440000-4-4-44-4440-4-440000000000000000022−220022−22−222200000000000000000000000000000000
χ674-4-44440000-4-4-44-4440-4-4400000000000000000−222200−222222−2200000000000000000000000000000000
χ684-4-44-24000022-44-4-2-2022-200000−2i32i300000000−2i32i322−2200−222−2i6−i6−i6i60000000000000000000000000000
χ694-4-44-24000022-44-4-2-2022-200000−2i32i300000000−2i32i3−2222002−2−22−i6i6i6−i60000000000000000000000000000
χ704-4-44-24000022-44-4-2-2022-2000002i3−2i3000000002i3−2i322−2200−222−2−i6i6i6−i60000000000000000000000000000
χ714-4-44-24000022-44-4-2-2022-2000002i3−2i3000000002i3−2i3−2222002−2−22i6−i6−i6i60000000000000000000000000000
χ7288-8-8-4-408-804-4-444420-22-2-444000000-40002-2000000000000000000000000000000000000000000
χ7388-8-8-4-40-8804-4-444420-22-24-4-40000004000-22000000000000000000000000000000000000000000
χ748-88-8-4-4800-8-4444-44202-2-20004-4004-400-2200000000000000000000000000000000000000000000
χ758-88-8-4-4-8008-4444-44202-2-2000-4400-44002-200000000000000000000000000000000000000000000
χ768-8-888-40000-8-84-448-4044-4000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40000444-44-420-2-2200000−4i34i3000000002i3−2i30000000000000000000000000000000000000000
χ788-8-88-4-40000444-44-420-2-22000004i3−4i300000000−2i32i30000000000000000000000000000000000000000

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