Finite Group Databasebeta

← Group #11781966

Character table — Group #11781966

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222444444444444444888888812121212121212121212121216161616161616161624242424242424242424242448484872727272
order1222334444666666346661212121212121212121212121212121212888824242424242424244121212121212121244881212121224242424412128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
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
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111
χ92222222-2-222222222-222222-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ102222222-2-222222222-222222-2-2-2-2-222-2-222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ11222222-222-22222222-2222-2-2-2-2222-2-22-2-2-2-2-2220000000000000000000002-20022-2-200000000000
χ12222222-222-22222222-2222-2-2-2-2222-2-22-2-2-2-2-222000000000000000000000-2200-2-22200000000000
χ13222222-2-2-2-222222222222-2-222-2-2-2-2-2-22-2-222-2-2000000000000000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-222-2-2-2-2-2-22-2-222-2-200000000000000000000000000000000000000−2i2i
χ1522222-1222222-1-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000
χ1622222-1222222-1-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-1-2-2-2-2111111110000000
χ1722222-1222222-1-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1000000000000-211-2-2111122-2-2-1-1-1-111110000000
χ1822222-1222222-1-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1000000000000-211-2-21111-2-2221111-1-1-1-10000000
χ1922222-1-222-222-1-1-12-1-2-1-1-111-2-2-122-2-2-111111-1-10000000000000−i3i300−i3−i3i3i32-200-1-111−i3−i3i3i30000000
χ2022222-1-222-222-1-1-12-1-2-1-1-111-2-2-122-2-2-111111-1-10000000000000−i3i300−i3−i3i3i3-220011-1-1i3i3−i3−i30000000
χ2122222-1-222-222-1-1-12-1-2-1-1-111-2-2-122-2-2-111111-1-10000000000000i3−i300i3i3−i3−i32-200-1-111i3i3−i3−i30000000
χ2222222-1-222-222-1-1-12-1-2-1-1-111-2-2-122-2-2-111111-1-10000000000000i3−i300i3i3−i3−i3-220011-1-1−i3−i3i3i30000000
χ232222-122222-1-1222-1-12-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000002-1-10000
χ242222-122222-1-1222-1-12-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2111111000000000000-2110000
χ252222-122222-1-1222-1-12-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-1000000000000-2110000
χ262222-122222-1-1222-1-12-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111-2-2-21111110000000000002-1-10000
χ272222-122-2-22-1-1222-1-1-2-1-1-12211-211-1-1-2-2-1-1111122-2-2-1-1-1-11111000−i3i3−i3i3−i3i30000000000000−i3i30000
χ282222-122-2-22-1-1222-1-1-2-1-1-12211-211-1-1-2-2-1-1111122-2-2-1-1-1-11111000i3−i3i3−i3i3−i30000000000000i3−i30000
χ292222-122-2-22-1-1222-1-1-2-1-1-12211-211-1-1-2-2-1-11111-2-2221111-1-1-1-1000−i3i3−i3i3−i3i30000000000000i3−i30000
χ302222-122-2-22-1-1222-1-1-2-1-1-12211-211-1-1-2-2-1-11111-2-2221111-1-1-1-1000i3−i3i3−i3i3−i30000000000000−i3i30000
χ3122-2-222200-22-22-2-2-2202-2-22-2000002-2002-200002-20022-2-20000000000000002−200002−22−20002−200
χ3222-2-222200-22-22-2-2-2202-2-22-2000002-2002-200002-20022-2-2000000000000000−220000−22−22000−2200
χ3322-2-222200-22-22-2-2-2202-2-22-2000002-2002-20000-2200-2-2220000000000000002−200002−22−2000−2200
χ3422-2-222200-22-22-2-2-2202-2-22-2000002-2002-20000-2200-2-222000000000000000−220000−22−220002−200
χ3544444-24-4-4444-2-2-24-2-4-2-2-2-2-2-4-42-4-44422-2-222220000000000000000000000000000000000000000
χ3644444-2-4-4-4-444-2-2-24-24-2-2-222442-4-4-4-42-222-2-2220000000000000000000000000000000000000000
χ374444-24-444-4-2-2444-2-2-4-2-2-2-4-4224-2-2224-42222-2-20000000000000000000000000000000000000000
χ384444-24-4-4-4-4-2-2444-2-24-2-2-2-4-4-2-2-42222-4422-2-2220000000000000000000000000000000000000000
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
χ414444-2-24-4-44-2-2-2-2-2-21-4111-2-222222-2-22211-1-1-1-1000000000000000−2i32i3i3−i3i3−i30000000000000000000
χ424444-2-24-4-44-2-2-2-2-2-21-4111-2-222222-2-22211-1-1-1-10000000000000002i3−2i3−i3i3−i3i30000000000000000000
χ434444-2-2-444-4-2-2-2-2-2-21-41112222-2-2-222-22-1-1-1-1110000000000000−2i32i300i3i3−i3−i30000000000000000000
χ444444-2-2-444-4-2-2-2-2-2-21-41112222-2-2-222-22-1-1-1-11100000000000002i3−2i300−i3−i3i3i30000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222-2-1-111-1-1000000000000000003-3-330000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222-2-1-111-1-100000000000000000-333-30000000000000000000
χ4744-4-444-40044-44-4-4-4404-4-4-4400000-4400-4400000000000000000000000000000000000000000000
χ4844-4-44-2400-44-4-222-4-20-222-22000004-400-2200000000000000000000000000022−220000−22−220000000
χ4944-4-44-2400-44-4-222-4-20-222-22000004-400-22000000000000000000000000000−222200002−22−20000000
χ5044-4-44-2-40044-4-222-4-20-2222-200000-44002-2000000000000000000000000000000000i6−i6−i6i60000000
χ5144-4-44-2-40044-4-222-4-20-2222-200000-44002-2000000000000000000000000000000000−i6i6i6−i60000000
χ5244-4-4-24400-4-224-4-42-20-2224-400000-2200-2200004-400-2-22200000000000000000000000000000000
χ5344-4-4-24400-4-224-4-42-20-2224-400000-2200-220000-440022-2-200000000000000000000000000000000
χ5444-4-4-24-4004-224-4-42-20-222-44000002-2002-2000000000000−2i3−2i32i32i30000000000000000000000000000
χ5544-4-4-24-4004-224-4-42-20-222-44000002-2002-20000000000002i32i3−2i3−2i30000000000000000000000000000
χ564-44-4440000-44-44-4-440-44-4000000000000000000022−22000022−2222−220000000000000000000000000000
χ574-44-4440000-44-44-4-440-44-40000000000000000000−22220000−2222−22220000000000000000000000000000
χ584-44-4-2400002-2-44-42-202-2200−2i32i3000000000−2i32i3000022−22i6−i6i6−i6−22−220000000000000000000000000000
χ594-44-4-2400002-2-44-42-202-2200−2i32i3000000000−2i32i30000−2222−i6i6−i6i62−22−20000000000000000000000000000
χ604-44-4-2400002-2-44-42-202-22002i3−2i30000000002i3−2i3000022−22−i6i6−i6i6−22−220000000000000000000000000000
χ614-44-4-2400002-2-44-42-202-22002i3−2i30000000002i3−2i30000−2222i6−i6i6−i62−22−20000000000000000000000000000
χ624-4-444404-40-4-4-4-44440-4-440000-44-4004000004-40000000000000000000000000000000000000000
χ634-4-44440-440-4-4-4-44440-4-4400004-4400-400000-440000000000000000000000000000000000000000
χ644-4-444-204-40-4-422-24-2022-2000024-400-200000-22000000000000000000000000000−2i32i300000000000
χ654-4-444-204-40-4-422-24-2022-2000024-400-200000-220000000000000000000000000002i3−2i300000000000
χ664-4-444-20-440-4-422-24-2022-20000-2-44002000002-2000000000000000000000000023−230000000000000
χ674-4-444-20-440-4-422-24-2022-20000-2-44002000002-20000000000000000000000000−23230000000000000
χ684-4-44-2404-4022-4-44-2-2022-20000-4-2200400000-220000i6−i6−i6i6i6−i6−i6i60000000000000000000000000000
χ694-4-44-2404-4022-4-44-2-2022-20000-4-2200400000-220000−i6i6i6−i6−i6i6i6−i60000000000000000000000000000
χ704-4-44-240-44022-4-44-2-2022-2000042-200-4000002-20000i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ714-4-44-240-44022-4-44-2-2022-2000042-200-4000002-20000−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ7288-8-8-4-4800-8-44-4444202-2-2-4400000-44002-200000000000000000000000000000000000000000000
χ7388-8-8-4-4-8008-44-4444202-2-24-4000004-400-2200000000000000000000000000000000000000000000
χ748-88-88-40000-884-44-8-404-44000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400004-44-44420-22-200−4i34i30000000002i3−2i3000000000000000000000000000000000000000000
χ768-88-8-4-400004-44-44420-22-2004i3−4i3000000000−2i32i3000000000000000000000000000000000000000000
χ778-8-88-4-408-804444-4-420-2-2200004-4400-4000002-20000000000000000000000000000000000000000
χ788-8-88-4-40-8804444-4-420-2-220000-44-400400000-220000000000000000000000000000000000000000

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