Finite Group Databasebeta

← Group #10714839

Character table — Group #10714839

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222222224444444444448888888888888812121212121212121616161616161616161616162424242448484848
order1222223444466688886688121212122424242416161616242448484848484848484444888844441212121212121212161616164488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ7111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ8111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111
χ922222222222222-2-2-2-222-2-22222-2-2-2-20000-2-2000000002222-2-2-2-200000000000000000000
χ1022222222222222-2-2-2-222-2-22222-2-2-2-20000-2-200000000-2-2-2-2222200000000000000000000
χ11222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000
χ12222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000
χ13222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000022-2-2-1-1-1-1111100000000
χ14222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111100000000-2-2221111-1-1-1-100000000
χ152222-2-222-22-22222222-2-2-2-22-2-2222220000-2-200000000000000000000000000000000002i−2i
χ162222-2-222-22-22222222-2-2-2-22-2-2222220000-2-20000000000000000000000000000000000−2i2i
χ172222-2-222-22-2222-2-2-2-2-2-2222-2-22-2-2-2-200002200000000000000002-20022-2-2000000000000
χ182222-2-222-22-2222-2-2-2-2-2-2222-2-22-2-2-2-20000220000000000000000-2200-2-222000000000000
χ192222-2-22-22-222220000-2-200-222-20000−i2−i2i2i200−i2−i2−i2−i2i2i2i2i2000022-2-2000000000000−i2−i2i2i20000
χ202222-2-22-22-222220000-2-200-222-20000−i2−i2i2i200−i2−i2−i2−i2i2i2i2i20000-2-222000000000000i2i2−i2−i20000
χ212222-2-22-22-222220000-2-200-222-20000i2i2−i2−i200i2i2i2i2−i2−i2−i2−i2000022-2-2000000000000i2i2−i2−i20000
χ222222-2-22-22-222220000-2-200-222-20000i2i2−i2−i200i2i2i2i2−i2−i2−i2−i20000-2-222000000000000−i2−i2i2i20000
χ232222-2-2-12-22-2-1-1-1-2-2-2-21122-111-111110000-1-133−3−333−3−3000000002-200-1-11133−3−300000000
χ242222-2-2-12-22-2-1-1-1-2-2-2-21122-111-111110000-1-133−3−333−3−300000000-220011-1-1−3−33300000000
χ252222-2-2-12-22-2-1-1-1-2-2-2-21122-111-111110000-1-1−3−333−3−333000000002-200-1-111−3−33300000000
χ262222-2-2-12-22-2-1-1-1-2-2-2-21122-111-111110000-1-1−3−333−3−33300000000-220011-1-133−3−300000000
χ2722-2-22-22-222-22-2-222-2-22-22-2-22-22-2-2222-22-22-22-22-22-22-20000000000000000000000000000
χ2822-2-22-22-222-22-2-222-2-22-22-2-22-22-2-222-22-222-2-22-22-22-220000000000000000000000000000
χ2922-2-22-22-222-22-2-2-2-2222-2-22-22-2222-2-20000-2200000000000000000000000000002-22-20000
χ3022-2-22-22-222-22-2-2-2-2222-2-22-22-2222-2-20000-220000000000000000000000000000-22-220000
χ3122-2-22-2-1-222-2-11122-2-2-112-21-11-111-1-12-22-2-11-11-11-11-110000000000003−33−33−33−300000000
χ3222-2-22-2-1-222-2-11122-2-2-112-21-11-111-1-12-22-2-11-11-11-11-11000000000000−33−33−33−3300000000
χ3322-2-22-2-1-222-2-11122-2-2-112-21-11-111-1-1-22-22-111-11-11-11-10000000000003−33−3−33−3300000000
χ3422-2-22-2-1-222-2-11122-2-2-112-21-11-111-1-1-22-22-111-11-11-11-1000000000000−33−333−33−300000000
χ3522-2-2-22222-2-22-2-20000-220022-2-20000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i222-2-20000000000000000−i2i2i2−i20000
χ3622-2-2-22222-2-22-2-20000-220022-2-20000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i2-2-2220000000000000000i2−i2−i2i20000
χ3722-2-2-22222-2-22-2-20000-220022-2-20000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i222-2-20000000000000000i2−i2−i2i20000
χ3822-2-2-22222-2-22-2-20000-220022-2-20000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i2-2-2220000000000000000−i2i2i2−i20000
χ3922-2-2-222-2-2222-2-222-2-2-22-22-2-222-2-2220000-22000000000000000000000000000000002-200
χ4022-2-2-222-2-2222-2-222-2-2-22-22-2-222-2-2220000-2200000000000000000000000000000000-2200
χ4122-2-2-222-2-2222-2-2-2-222-222-2-2-22222-2-200002-20000000000000000002-200002-2-2200000000
χ4222-2-2-222-2-2222-2-2-2-222-222-2-2-22222-2-200002-2000000000000000000-220000-222-200000000
χ4322-2-2-22-1-2-222-111-2-2221-12-211-1-1-1-1110000-113−3−333−3−3300000000002-2−333−3-111-100000000
χ4422-2-2-22-1-2-222-111-2-2221-12-211-1-1-1-1110000-113−3−333−3−330000000000-223−3−331-1-1100000000
χ4522-2-2-22-1-2-222-111-2-2221-12-211-1-1-1-1110000-11−333−3−333−300000000002-23−3−33-111-100000000
χ4622-2-2-22-1-2-222-111-2-2221-12-211-1-1-1-1110000-11−333−3−333−30000000000-22−333−31-1-1100000000
χ474444444-4-4-4-444400004400-4-4-4-40000000000000000000000000000000000000000000000
χ48444444-24444-2-2-2-4-4-4-4-2-2-4-4-2-2-2-22222000022000000000000000000000000000000000000
χ49444444-2-4-4-4-4-2-2-20000-2-20022220000000000i6i6−i6−i6−i6−i6i6i60000000000000000000000000000
χ50444444-2-4-4-4-4-2-2-20000-2-20022220000000000−i6−i6i6i6i6i6−i6−i60000000000000000000000000000
χ514444-4-4-24-44-4-2-2-2444422-4-4-222-2-2-2-2-2000022000000000000000000000000000000000000
χ524444-4-4-2-44-44-2-2-2000022002-2-220000−2i2−2i22i22i200i2i2i2i2−i2−i2−i2−i20000000000000000000000000000
χ534444-4-4-2-44-44-2-2-2000022002-2-2200002i22i2−2i2−2i200−i2−i2−i2−i2i2i2i2i20000000000000000000000000000
χ5444-4-44-444-4-444-4-400004-4004-44-40000000000000000000000000000000000000000000000
χ5544-4-44-4-24-4-44-2220000-2200-22-220000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ5644-4-44-4-24-4-44-2220000-2200-22-220000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ5744-4-44-4-2-444-4-222-4-444-22-442-22-2-2-22200002-2000000000000000000000000000000000000
χ5844-4-4-44-244-4-4-22200002-200-2-2220000−2i22i22i2−2i200i2−i2i2−i2−i2i2−i2i20000000000000000000000000000
χ5944-4-4-44-244-4-4-22200002-200-2-22200002i2−2i2−2i22i200−i2i2−i2i2i2−i2i2−i20000000000000000000000000000
χ6044-4-4-44-2-4-444-22244-4-42-2-4422-2-222-2-200002-2000000000000000000000000000000000000
χ614-44-40040000-44-4−2i22i2−2i22i200000000−2i22i2−2i22i2000000000000002i−2i2i−2i0022−2200000000000000000000
χ624-44-40040000-44-4−2i22i2−2i22i200000000−2i22i2−2i22i200000000000000−2i2i−2i2i00−222200000000000000000000
χ634-44-40040000-44-42i2−2i22i2−2i2000000002i2−2i22i2−2i2000000000000002i−2i2i−2i00−222200000000000000000000
χ644-44-40040000-44-42i2−2i22i2−2i2000000002i2−2i22i2−2i200000000000000−2i2i−2i2i0022−2200000000000000000000
χ654-4-440040000-4-44−2i22i22i2−2i2000000002i2−2i2−2i22i2000000000000002i−2i−2i2i22−220000000000000000000000
χ664-4-440040000-4-44−2i22i22i2−2i2000000002i2−2i2−2i22i200000000000000−2i2i2i−2i−22220000000000000000000000
χ674-4-440040000-4-442i2−2i2−2i22i200000000−2i22i22i2−2i2000000000000002i−2i−2i2i−22220000000000000000000000
χ684-4-440040000-4-442i2−2i2−2i22i200000000−2i22i22i2−2i200000000000000−2i2i2i−2i22−220000000000000000000000
χ698-88-800-400004-44−4i24i2−4i24i2000000002i2−2i22i2−2i2000000000000000000000000000000000000000000
χ708-88-800-400004-444i2−4i24i2−4i200000000−2i22i2−2i22i2000000000000000000000000000000000000000000
χ718-8-8800-4000044-4−4i24i24i2−4i200000000−2i22i22i2−2i2000000000000000000000000000000000000000000
χ728-8-8800-4000044-44i2−4i2−4i24i2000000002i2−2i2−2i22i2000000000000000000000000000000000000000000

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