Finite Group Databasebeta

← Group #10714838

Character table — Group #10714838

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222222224444444444448888888888888812121212121212121616161616161616161616162424242448484848
order1222223444466688886688121212122424242416161616242448484848484848484444888844881212121224242424161616164444
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
χ152222-2-222-22-22222222-2-2-2-22-22-222220000-2-20000000000000000002i−2i00002i2i−2i−2i00000000
χ162222-2-222-22-22222222-2-2-2-22-22-222220000-2-2000000000000000000−2i2i0000−2i−2i2i2i00000000
χ172222-2-222-22-2222-2-2-2-2-2-2222-22-2-2-2-2-2000022000000000000000000000000000000002-200
χ182222-2-222-22-2222-2-2-2-2-2-2222-22-2-2-2-2-200002200000000000000000000000000000000-2200
χ192222-2-22-22-222220000-2-200-22-220000−i2−i2i2i200−i2−i2−i2−i2i2i2i2i2000022-2-2000000000000−i2−i2i2i20000
χ202222-2-22-22-222220000-2-200-22-220000−i2−i2i2i200−i2−i2−i2−i2i2i2i2i20000-2-222000000000000i2i2−i2−i20000
χ212222-2-22-22-222220000-2-200-22-220000i2i2−i2−i200i2i2i2i2−i2−i2−i2−i2000022-2-2000000000000i2i2−i2−i20000
χ222222-2-22-22-222220000-2-200-22-220000i2i2−i2−i200i2i2i2i2−i2−i2−i2−i20000-2-222000000000000−i2−i2i2i20000
χ232222-2-2-12-22-2-1-1-1222211-2-2-11-11-1-1-1-1000011−i3−i3i3i3−i3−i3i3i300000000002i−2i33−3−3−i−iii00000000
χ242222-2-2-12-22-2-1-1-1222211-2-2-11-11-1-1-1-1000011−i3−i3i3i3−i3−i3i3i30000000000−2i2i−3−333ii−i−i00000000
χ252222-2-2-12-22-2-1-1-1222211-2-2-11-11-1-1-1-1000011i3i3−i3−i3i3i3−i3−i300000000002i−2i−3−333−i−iii00000000
χ262222-2-2-12-22-2-1-1-1222211-2-2-11-11-1-1-1-1000011i3i3−i3−i3i3i3−i3−i30000000000−2i2i33−3−3ii−i−i00000000
χ2722-2-22-22-222-2-2-2222-2-22-22-2-222-2-2-2222-22-22-22-22-22-22-20000000000000000000000000000
χ2822-2-22-22-222-2-2-2222-2-22-22-2-222-2-2-222-22-222-2-22-22-22-220000000000000000000000000000
χ2922-2-22-22-222-2-2-22-2-2222-2-22-222-222-2-20000-2200000000000000000000000000002-22-20000
χ3022-2-22-22-222-2-2-22-2-2222-2-22-222-222-2-20000-220000000000000000000000000000-22-220000
χ3122-2-22-2-1-222-211-122-2-2-112-21-1-1111-1-12-22-2-11-11-11-11-110000000000003−33−33−33−300000000
χ3222-2-22-2-1-222-211-122-2-2-112-21-1-1111-1-12-22-2-11-11-11-11-11000000000000−33−33−33−3300000000
χ3322-2-22-2-1-222-211-122-2-2-112-21-1-1111-1-1-22-22-111-11-11-11-10000000000003−33−3−33−3300000000
χ3422-2-22-2-1-222-211-122-2-2-112-21-1-1111-1-1-22-22-111-11-11-11-1000000000000−33−333−33−300000000
χ3522-2-2-22222-2-2-2-220000-220022-2-20000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i222-2-20000000000000000−i2i2i2−i20000
χ3622-2-2-22222-2-2-2-220000-220022-2-20000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i2-2-2220000000000000000i2−i2−i2i20000
χ3722-2-2-22222-2-2-2-220000-220022-2-20000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i222-2-20000000000000000i2−i2−i2i20000
χ3822-2-2-22222-2-2-2-220000-220022-2-20000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i2-2-2220000000000000000−i2i2i2−i20000
χ3922-2-2-222-2-222-2-2222-2-2-22-22-2-222-2-2220000-2200000000000000002-2002-2-22000000000000
χ4022-2-2-222-2-222-2-2222-2-2-22-22-2-222-2-2220000-220000000000000000-2200-222-2000000000000
χ4122-2-2-222-2-222-2-22-2-222-222-2-2-22222-2-200002-200000000000000000000000000000000002-2
χ4222-2-2-222-2-222-2-22-2-222-222-2-2-22222-2-200002-20000000000000000000000000000000000-22
χ4322-2-2-22-1-2-22211-122-2-21-1-2211-1-111-1-100001-1−i3i3i3−i3−i3i3i3−i3000000002-200-111-1−i3i3i3−i300000000
χ4422-2-2-22-1-2-22211-122-2-21-1-2211-1-111-1-100001-1−i3i3i3−i3−i3i3i3−i300000000-22001-1-11i3−i3−i3i300000000
χ4522-2-2-22-1-2-22211-122-2-21-1-2211-1-111-1-100001-1i3−i3−i3i3i3−i3−i3i3000000002-200-111-1i3−i3−i3i300000000
χ4622-2-2-22-1-2-22211-122-2-21-1-2211-1-111-1-100001-1i3−i3−i3i3i3−i3−i3i300000000-22001-1-11−i3i3i3−i300000000
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
χ49444444-2-4-4-4-4-2-2-20000-2-2002222000000000066−6−6−6−6660000000000000000000000000000
χ50444444-2-4-4-4-4-2-2-20000-2-20022220000000000−6−66666−6−60000000000000000000000000000
χ514444-4-4-24-44-4-2-2-2-4-4-4-42244-22-2222220000-2-2000000000000000000000000000000000000
χ524444-4-4-2-44-44-2-2-2000022002-22-20000−2i2−2i22i22i200i2i2i2i2−i2−i2−i2−i20000000000000000000000000000
χ534444-4-4-2-44-44-2-2-2000022002-22-200002i22i2−2i2−2i200−i2−i2−i2−i2i2i2i2i20000000000000000000000000000
χ5444-4-44-444-4-44-4-4400004-4004-4-440000000000000000000000000000000000000000000000
χ5544-4-44-4-24-4-4422-20000-2200-222-200000000006−6−66−666−60000000000000000000000000000
χ5644-4-44-4-24-4-4422-20000-2200-222-20000000000−666−66−6−660000000000000000000000000000
χ5744-4-44-4-2-444-422-2-4-444-22-442-2-22-2-22200002-2000000000000000000000000000000000000
χ5844-4-4-44-244-4-422-200002-200-2-2220000−2i22i22i2−2i200i2−i2i2−i2−i2i2−i2i20000000000000000000000000000
χ5944-4-4-44-244-4-422-200002-200-2-22200002i2−2i2−2i22i200−i2i2−i2i2i2−i2i2−i20000000000000000000000000000
χ6044-4-4-44-2-4-44422-2-4-4442-24-422-2-2-2-2220000-22000000000000000000000000000000000000
χ614-44-400400004-4-4−2i22i2−2i22i200000000−2i22i2−2i22i2000000000000002i−2i2i−2i0022−2200000000000000000000
χ624-44-400400004-4-4−2i22i2−2i22i200000000−2i22i2−2i22i200000000000000−2i2i−2i2i00−222200000000000000000000
χ634-44-400400004-4-42i2−2i22i2−2i2000000002i2−2i22i2−2i2000000000000002i−2i2i−2i00−222200000000000000000000
χ644-44-400400004-4-42i2−2i22i2−2i2000000002i2−2i22i2−2i200000000000000−2i2i−2i2i0022−2200000000000000000000
χ654-4-440040000-44-4−2i22i22i2−2i2000000002i2−2i2−2i22i2000000000000002i−2i−2i2i22−220000000000000000000000
χ664-4-440040000-44-4−2i22i22i2−2i2000000002i2−2i2−2i22i200000000000000−2i2i2i−2i−22220000000000000000000000
χ674-4-440040000-44-42i2−2i2−2i22i200000000−2i22i22i2−2i2000000000000002i−2i−2i2i−22220000000000000000000000
χ684-4-440040000-44-42i2−2i2−2i22i200000000−2i22i22i2−2i200000000000000−2i2i2i−2i22−220000000000000000000000
χ698-88-800-40000-444−4i24i2−4i24i2000000002i2−2i22i2−2i2000000000000000000000000000000000000000000
χ708-88-800-40000-4444i2−4i24i2−4i200000000−2i22i2−2i22i2000000000000000000000000000000000000000000
χ718-8-8800-400004-44−4i24i24i2−4i200000000−2i22i22i2−2i2000000000000000000000000000000000000000000
χ728-8-8800-400004-444i2−4i2−4i24i2000000002i2−2i2−2i22i2000000000000000000000000000000000000000000

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