Finite Group Databasebeta

← Group #10949075

Character table — Group #10949075

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222224444444888888888121216161616162424242424481122222444444488888888812121616161616242424242448
order12234466881212242424161624484848482446121212248161642226446688121224242416162448484848244612121224816164
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111111-1-111111-1-1-1-1-1-1
χ31111111111111111-1-11-1-1-1-111-111-1-1111-1-1-11111111111111111-1-11-1-1-1-111-111-1-1111-1-1-1
χ41111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-11111111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-1111
χ511111111111111-1-1111111111-1-1-1-1-1-1-1111-111111111111111-1-1111111111-1-1-1-1-1-1-1111-1
χ611111111111111-1-11111111-1-1-1-1-1-1-111-1-1-1111111111111111-1-11111111-1-1-1-1-1-1-111-1-1-11
χ711111111111111-1-1-1-11-1-1-1-1111-1-111-1-11-1-1111111111111111-1-1-1-11-1-1-1-1111-1-111-1-11-1-11
χ811111111111111-1-1-1-11-1-1-1-1-1-11-1-11111-111-111111111111111-1-1-1-11-1-1-1-1-1-11-1-11111-111-1
χ922222222-2-222-2-20000-20000220000000-200022222222-2-222-2-20000-20000220000000-2000
χ1022222222-2-222-2-20000-20000-2-20000000200022222222-2-222-2-20000-20000-2-200000002000
χ112222-2-22200-2-200002−2022−2−22-2000000002−202222-2-22200-2-200002−2022−2−22-2000000002−20
χ122222-2-22200-2-200002−2022−2−2-2200000000−2202222-2-22200-2-200002−2022−2−2-2200000000−220
χ132222-2-22200-2-20000−220−2−2222-200000000−2202222-2-22200-2-20000−220−2−2222-200000000−220
χ142222-2-22200-2-20000−220−2−222-22000000002−202222-2-22200-2-20000−220−2−222-22000000002−20
χ15222-122-1-122-1-1-1-12222-1-1-1-1-1002-1-1-1-1000000222-122-1-122-1-1-1-12222-1-1-1-1-1002-1-1-1-1000000
χ16222-122-1-122-1-1-1-122-2-2-1111100-2-1-111000000222-122-1-122-1-1-1-122-2-2-1111100-2-1-111000000
χ17222-122-1-122-1-1-1-1-2-222-1-1-1-1-100-21111000000222-122-1-122-1-1-1-1-2-222-1-1-1-1-100-21111000000
χ18222-122-1-122-1-1-1-1-2-2-2-2-1111100211-1-1000000222-122-1-122-1-1-1-1-2-2-2-2-1111100211-1-1000000
χ1922-22-222-22-2-22222-200-200000002-20000000022-22-222-22-2-22222-200-200000002-200000000
χ2022-22-222-22-2-2222-2200-20000000-220000000022-22-222-22-2-2222-2200-20000000-2200000000
χ2122-22-222-2-22-22-2-200002000000000002-2000022-22-222-2-22-22-2-200002000000000002-20000
χ2222-22-222-2-22-22-2-20000200000000000-22000022-22-222-2-22-22-2-20000200000000000-220000
χ2322-2-1-22-112-21-1-1-12-2001−i3i3−i3i3000-11−i3i300000022-2-1-22-112-21-1-1-12-2001−i3i3−i3i3000-11−i3i3000000
χ2422-2-1-22-112-21-1-1-12-2001i3−i3i3−i3000-11i3−i300000022-2-1-22-112-21-1-1-12-2001i3−i3i3−i3000-11i3−i3000000
χ2522-2-1-22-112-21-1-1-1-22001−i3i3−i3i30001-1i3−i300000022-2-1-22-112-21-1-1-1-22001−i3i3−i3i30001-1i3−i3000000
χ2622-2-1-22-112-21-1-1-1-22001i3−i3i3−i30001-1−i3i300000022-2-1-22-112-21-1-1-1-22001i3−i3i3−i30001-1−i3i3000000
χ27444-244-2-2-4-4-2-2220000200000000000000000444-244-2-2-4-4-2-2220000200000000000000000
χ28444-2-4-4-2-20022000022−220−2−2220000000000000444-2-4-4-2-20022000022−220−2−2220000000000000
χ29444-2-4-4-2-200220000−2222022−2−20000000000000444-2-4-4-2-200220000−2222022−2−20000000000000
χ3044-444-44-4004-400000000000000000000000044-444-44-4004-4000000000000000000000000
χ3144-4-24-4-2200-220000000i6−i6−i6i6000000000000044-4-24-4-2200-220000000i6−i6−i6i60000000000000
χ3244-4-24-4-2200-220000000−i6i6i6−i6000000000000044-4-24-4-2200-220000000−i6i6i6−i60000000000000
χ3344-4-2-44-22-442-2220000-20000000000000000044-4-2-44-22-442-2220000-200000000000000000
χ348-80800-8000000000000000000000000000008-80800-800000000000000000000000000000
χ358-80-4004000002i6−2i600000000000000000000008-80-4004000002i6−2i60000000000000000000000
χ368-80-400400000−2i62i600000000000000000000008-80-400400000−2i62i60000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ391111111111111111-1-11-1-1-1-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11-1-111-1-1-1111
χ401111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111-1-111111-1-1-1
χ4111111111111111-1-1111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1-11
χ4211111111111111-1-11111111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-1111-1
χ4311111111111111-1-1-1-11-1-1-1-1111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-111-1-111-111-1
χ4411111111111111-1-1-1-11-1-1-1-1-1-11-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-111-1-1-1-11-1-11
χ4522222222-2-222-2-20000-20000220000000-2000-2-2-2-2-2-2-2-222-2-222000020000-2-200000002000
χ4622222222-2-222-2-20000-20000-2-200000002000-2-2-2-2-2-2-2-222-2-222000020000220000000-2000
χ472222-2-22200-2-200002−2022−2−22-2000000002−20-2-2-2-222-2-200220000−220−2−222-2200000000−220
χ482222-2-22200-2-200002−2022−2−2-2200000000−220-2-2-2-222-2-200220000−220−2−2222-2000000002−20
χ492222-2-22200-2-20000−220−2−2222-200000000−220-2-2-2-222-2-2002200002−2022−2−2-22000000002−20
χ502222-2-22200-2-20000−220−2−222-22000000002−20-2-2-2-222-2-2002200002−2022−2−22-200000000−220
χ51222-122-1-122-1-1-1-12222-1-1-1-1-1002-1-1-1-1000000-2-2-21-2-211-2-21111-2-2-2-21111100-21111000000
χ52222-122-1-122-1-1-1-122-2-2-1111100-2-1-111000000-2-2-21-2-211-2-21111-2-2221-1-1-1-100211-1-1000000
χ53222-122-1-122-1-1-1-1-2-222-1-1-1-1-100-21111000000-2-2-21-2-211-2-2111122-2-211111002-1-1-1-1000000
χ54222-122-1-122-1-1-1-1-2-2-2-2-1111100211-1-1000000-2-2-21-2-211-2-2111122221-1-1-1-100-2-1-111000000
χ5522-22-222-22-2-22222-200-200000002-200000000-2-22-22-2-22-222-2-2-2-220020000000-2200000000
χ5622-22-222-22-2-2222-2200-20000000-2200000000-2-22-22-2-22-222-2-2-22-200200000002-200000000
χ5722-22-222-2-22-22-2-200002000000000002-20000-2-22-22-2-222-22-2220000-200000000000-220000
χ5822-22-222-2-22-22-2-20000200000000000-220000-2-22-22-2-222-22-2220000-2000000000002-20000
χ5922-2-1-22-112-21-1-1-12-2001−i3i3−i3i3000-11−i3i3000000-2-2212-21-1-22-1111-2200-1i3−i3i3−i30001-1i3−i3000000
χ6022-2-1-22-112-21-1-1-12-2001i3−i3i3−i3000-11i3−i3000000-2-2212-21-1-22-1111-2200-1−i3i3−i3i30001-1−i3i3000000
χ6122-2-1-22-112-21-1-1-1-22001−i3i3−i3i30001-1i3−i3000000-2-2212-21-1-22-11112-200-1i3−i3i3−i3000-11−i3i3000000
χ6222-2-1-22-112-21-1-1-1-22001i3−i3i3−i30001-1−i3i3000000-2-2212-21-1-22-11112-200-1−i3i3−i3i3000-11i3−i3000000
χ63444-244-2-2-4-4-2-2220000200000000000000000-4-4-42-4-4224422-2-20000-200000000000000000
χ64444-2-4-4-2-20022000022−220−2−2220000000000000-4-4-42442200-2-20000−2222022−2−20000000000000
χ65444-2-4-4-2-200220000−2222022−2−20000000000000-4-4-42442200-2-2000022−220−2−2220000000000000
χ6644-444-44-4004-4000000000000000000000000-4-44-4-44-4400-44000000000000000000000000
χ6744-4-24-4-2200-220000000i6−i6−i6i60000000000000-4-442-442-2002-20000000−i6i6i6−i60000000000000
χ6844-4-24-4-2200-220000000−i6i6i6−i60000000000000-4-442-442-2002-20000000i6−i6−i6i60000000000000
χ6944-4-2-44-22-442-2220000-200000000000000000-4-4424-42-24-4-22-2-20000200000000000000000
χ708-80800-800000000000000000000000000000-880-800800000000000000000000000000000
χ718-80-4004000002i6−2i60000000000000000000000-880400-400000−2i62i60000000000000000000000
χ728-80-400400000−2i62i60000000000000000000000-880400-4000002i6−2i60000000000000000000000

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