Finite Group Databasebeta

← Group #11781893

Character table — Group #11781893

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222444444444444444888888812121212121212121212121216161616161616161624242424242424242424242448484872727272
order1222334444666666346661212121212121212121212121212121212888824242424242424244121212121212121244881212121224242424412128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111
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
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1
χ92222222-2-222222222-2222-2-2222-2-2-2-22-2-2-2-2-2220000000000000000000002-200-2-22200000000000
χ102222222-2-222222222-2222-2-2222-2-2-2-22-2-2-2-2-222000000000000000000000-220022-2-200000000000
χ11222222-222-22222222-222222-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-222222-2-2-2-2-222-2-222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-222-2-2-22-2-222-2-20000000000000000000000000000000000002i−2i00
χ14222222-2-2-2-222222222222-2-2-2-2-222-2-2-22-2-222-2-2000000000000000000000000000000000000−2i2i00
χ1522222-122222-12-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1000000000000222-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000
χ1622222-122222-12-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1000000000000222-1-1-1-1-1-1-2-2-2-2111111110000000
χ1722222-122222-12-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1000000000000-2-2-211111122-2-2-1-1-1-111110000000
χ1822222-122222-12-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1000000000000-2-2-2111111-2-2221111-1-1-1-10000000
χ1922222-12-2-222-12-1-12-1-2-1-1-11122-1-2-2-2-2-111111-1-1000000000000000−i3i3−i3−i3i3i32-20011-1-1−i3−i3i3i30000000
χ2022222-12-2-222-12-1-12-1-2-1-1-11122-1-2-2-2-2-111111-1-1000000000000000−i3i3−i3−i3i3i3-2200-1-111i3i3−i3−i30000000
χ2122222-12-2-222-12-1-12-1-2-1-1-11122-1-2-2-2-2-111111-1-1000000000000000i3−i3i3i3−i3−i32-20011-1-1i3i3−i3−i30000000
χ2222222-12-2-222-12-1-12-1-2-1-1-11122-1-2-2-2-2-111111-1-1000000000000000i3−i3i3i3−i3−i3-2200-1-111−i3−i3i3i30000000
χ232222-122222-12-122-1-12-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-10000000000002-1-10000
χ242222-122222-12-122-1-12-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-21111000000000000-2110000
χ252222-122222-12-122-1-12-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111112-1-122-1-1-1-1000000000000-2110000
χ262222-122222-12-122-1-12-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111-211-2-211110000000000002-1-10000
χ272222-12-222-2-12-122-1-1-2-1-1-12211-211-1-1-2-2-1-1111122-2-2-1-1-1-111110−i3i300−i3i3−i3i30000000000000−i3i30000
χ282222-12-222-2-12-122-1-1-2-1-1-12211-211-1-1-2-2-1-1111122-2-2-1-1-1-111110i3−i300i3−i3i3−i30000000000000i3−i30000
χ292222-12-222-2-12-122-1-1-2-1-1-12211-211-1-1-2-2-1-11111-2-2221111-1-1-1-10−i3i300−i3i3−i3i30000000000000i3−i30000
χ302222-12-222-2-12-122-1-1-2-1-1-12211-211-1-1-2-2-1-11111-2-2221111-1-1-1-10i3−i300i3−i3i3−i30000000000000−i3i30000
χ3122-2-22202-2022-2-2-2-2202-2-22-2000002-2002-200002-20022-2-20000000000000002−200002−22−2000002−2
χ3222-2-22202-2022-2-2-2-2202-2-22-2000002-2002-200002-20022-2-2000000000000000−220000−22−2200000−22
χ3322-2-22202-2022-2-2-2-2202-2-22-2000002-2002-20000-2200-2-2220000000000000002−200002−22−200000−22
χ3422-2-22202-2022-2-2-2-2202-2-22-2000002-2002-20000-2200-2-222000000000000000−220000−22−22000002−2
χ3544444-2-444-44-24-2-24-2-4-2-2-2-2-2-4-42-4-44422-2-222220000000000000000000000000000000000000000
χ3644444-2-4-4-4-44-24-2-24-24-2-2-222-4-4244-4-42-222-2-2220000000000000000000000000000000000000000
χ374444-244-4-44-24-244-2-2-4-2-2-2-4-4-2-2422224-42222-2-20000000000000000000000000000000000000000
χ384444-24-4-4-4-4-24-244-2-24-2-2-2-4-422-4-2-222-4422-2-2220000000000000000000000000000000000000000
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
χ414444-2-24-4-44-2-2-2-2-2-21-411122-2-2-22222-22-1-1-1-111000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ424444-2-24-4-44-2-2-2-2-2-21-411122-2-2-22222-22-1-1-1-1110000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ434444-2-2-444-4-2-2-2-2-2-21-4111-2-222222-2-22211-1-1-1-10000000000000−2i32i300i3−i3i3−i30000000000000000000
χ444444-2-2-444-4-2-2-2-2-2-21-4111-2-222222-2-22211-1-1-1-100000000000002i3−2i300−i3i3−i3i30000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222-2-1-111-1-1000000000000000003-3-330000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222-2-1-111-1-100000000000000000-333-30000000000000000000
χ4744-4-4440-44044-4-4-4-4404-4-4-4400000-4400-4400000000000000000000000000000000000000000000
χ4844-4-44-204-404-2-422-4-20-222-22000004-400-2200000000000000000000000000022−220000−22−220000000
χ4944-4-44-204-404-2-422-4-20-222-22000004-400-22000000000000000000000000000−222200002−22−20000000
χ5044-4-44-20-4404-2-422-4-20-2222-200000-44002-2000000000000000000000000000000000i6−i6−i6i60000000
χ5144-4-44-20-4404-2-422-4-20-2222-200000-44002-2000000000000000000000000000000000−i6i6i6−i60000000
χ5244-4-4-2404-40-242-4-42-20-2224-400000-2200-2200004-400-2-22200000000000000000000000000000000
χ5344-4-4-2404-40-242-4-42-20-2224-400000-2200-220000-440022-2-200000000000000000000000000000000
χ5444-4-4-240-440-242-4-42-20-222-44000002-2002-2000000000000−2i3−2i32i32i30000000000000000000000000000
χ5544-4-4-240-440-242-4-42-20-222-44000002-2002-20000000000002i32i3−2i3−2i30000000000000000000000000000
χ564-44-444400-4-4-44-44-440-4-44004-440000-4000004-40000000000000000000000000000000000000000
χ574-44-444-4004-4-44-44-440-4-4400-44-40000400000-440000000000000000000000000000000000000000
χ584-44-44-2400-4-4242-2-4-2022-2004-4-20000200000-22000000000000000000000000023−230000000000000
χ594-44-44-2400-4-4242-2-4-2022-2004-4-20000200000-220000000000000000000000000−23230000000000000
χ604-44-44-2-4004-4242-2-4-2022-200-4420000-2000002-2000000000000000000000000000−2i32i300000000000
χ614-44-44-2-4004-4242-2-4-2022-200-4420000-2000002-20000000000000000000000000002i3−2i300000000000
χ624-44-4-24400-42-4-2-442-2022-200-2240000-400000-2200006−66−66−66−60000000000000000000000000000
χ634-44-4-24400-42-4-2-442-2022-200-2240000-400000-220000−66−66−66−660000000000000000000000000000
χ644-44-4-24-40042-4-2-442-2022-2002-2-400004000002-200006−66−6−66−660000000000000000000000000000
χ654-44-4-24-40042-4-2-442-2022-2002-2-400004000002-20000−66−666−66−60000000000000000000000000000
χ664-4-44440000-4-4-44-4440-44-40000000000000000000−2i22i20000−2i22i22i2−2i20000000000000000000000000000
χ674-4-44440000-4-4-44-4440-44-400000000000000000002i2−2i200002i2−2i2−2i22i20000000000000000000000000000
χ684-4-44-2400002-424-4-2-202-2200000−2i32i3000000−2i32i30000−2i22i26−6−66i2−i2−i2i20000000000000000000000000000
χ694-4-44-2400002-424-4-2-202-2200000−2i32i3000000−2i32i300002i2−2i2−666−6−i2i2i2−i20000000000000000000000000000
χ704-4-44-2400002-424-4-2-202-22000002i3−2i30000002i3−2i30000−2i22i2−666−6i2−i2−i2i20000000000000000000000000000
χ714-4-44-2400002-424-4-2-202-22000002i3−2i30000002i3−2i300002i2−2i26−6−66−i2i2i2−i20000000000000000000000000000
χ7288-8-8-4-408-80-4-44444202-2-2-4400000-44002-200000000000000000000000000000000000000000000
χ7388-8-8-4-40-880-4-44444202-2-24-4000004-400-2200000000000000000000000000000000000000000000
χ748-88-8-4-4800-844-44-4420-2-2200-44-400004000002-20000000000000000000000000000000000000000
χ758-88-8-4-4-800844-44-4420-2-22004-440000-400000-220000000000000000000000000000000000000000
χ768-8-888-40000-84-8-448-404-44000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40000444-44-420-22-200000−4i34i30000002i3−2i3000000000000000000000000000000000000000000
χ788-8-88-4-40000444-44-420-22-2000004i3−4i3000000−2i32i3000000000000000000000000000000000000000000

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