Finite Group Databasebeta

← Group #10696006

Character table — Group #10696006

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488881616161616161616161616161616161616162424242424242424242424244848
order12222234444666444466121212121212121244448812121212121212122424242422444444888888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ9222222222-2-2222-2-22-222-2-2222-2-2-22-200002200-2-200000000000000000000
χ10222222222-2-2222-2-22-222-2-2222-2-2-2-220000-2-2002200000000000000000000
χ112222222-2-2222222-2-2-22222-2-2-22-2-2000000000000000000000022-2-2000000
χ122222222-2-2222222-2-2-22222-2-2-22-2-20000000000000000000000-2-222000000
χ132222222-2-2-2-2222-22-2222-2-2-2-2-2-22200000000000000000022-2-20000000000
χ142222222-2-2-2-2222-22-2222-2-2-2-2-2-222000000000000000000-2-2220000000000
χ15222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ16222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-111-1-111111100000000000000
χ17222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-222-2-211-1-111-1-1111100000000000000
χ18222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000000000
χ19222222-122-2-2-1-1-1-2-22-2-1-111-1-1-11112-20000-1-1−i3i311−i3i3−i3−i3i3i300000000000000
χ20222222-122-2-2-1-1-1-2-22-2-1-111-1-1-11112-20000-1-1i3−i311i3−i3i3i3−i3−i300000000000000
χ21222222-122-2-2-1-1-1-2-22-2-1-111-1-1-1111-22000011−i3i3-1-1−i3i3i3i3−i3−i300000000000000
χ22222222-122-2-2-1-1-1-2-22-2-1-111-1-1-1111-22000011i3−i3-1-1i3−i3−i3−i3i3i300000000000000
χ232222-2-222222222-22-2-2-2-22222-2-22-200002-2000000002-22-200000000000000
χ242222-2-222222222-22-2-2-2-22222-2-22-20000-2200000000-22-2200000000000000
χ252222-2-2222-2-22222-2-22-2-2-2-222-22-22002-20000-2-20022000000000000000000
χ262222-2-2222-2-22222-2-22-2-2-2-222-22-2200-2200002200-2-2000000000000000000
χ272222-2-22-2-222222-2-222-2-222-2-22-2-220000000000000000000000000000002-2
χ282222-2-22-2-222222-2-222-2-222-2-22-2-22000000000000000000000000000000-22
χ292222-2-22-2-2-2-2222222-2-2-2-2-2-2-2222-2000000000000000000000000002i2i−2i−2i00
χ302222-2-22-2-2-2-2222222-2-2-2-2-2-2-2222-200000000000000000000000000−2i−2i2i2i00
χ312222-2-2-12222-1-1-1-22-2-211-1-1-1-111-1100002-2−i3i3−i3i3−i3i3i3−i3-11-1100000000000000
χ322222-2-2-12222-1-1-1-22-2-211-1-1-1-111-1100002-2i3−i3i3−i3i3−i3−i3i3-11-1100000000000000
χ332222-2-2-12222-1-1-1-22-2-211-1-1-1-111-110000-22−i3i3i3−i3−i3i3−i3i31-11-100000000000000
χ342222-2-2-12222-1-1-1-22-2-211-1-1-1-111-110000-22i3−i3−i3i3i3−i3i3−i31-11-100000000000000
χ352222-2-2-122-2-2-1-1-12-2-221111-1-11-11-1002-200−i3i311i3−i3-1-1i3−i3−i3i300000000000000
χ362222-2-2-122-2-2-1-1-12-2-221111-1-11-11-1002-200i3−i311−i3i3-1-1−i3i3i3−i300000000000000
χ372222-2-2-122-2-2-1-1-12-2-221111-1-11-11-100-2200−i3i3-1-1i3−i311−i3i3i3−i300000000000000
χ382222-2-2-122-2-2-1-1-12-2-221111-1-11-11-100-2200i3−i3-1-1−i3i311i3−i3−i3i300000000000000
χ39444444-2-4-444-2-2-24-4-4-4-2-2-2-2222-22200000000000000000000000000000000
χ40444444-2-4-4-4-4-2-2-2-44-44-2-2222222-2-200000000000000000000000000000000
χ414444-4-4-2-4-444-2-2-2-4-44422-2-222-222-200000000000000000000000000000000
χ424444-4-4-2-4-4-4-4-2-2-2444-4222222-2-2-2200000000000000000000000000000000
χ4344-4-44-4400004-4-400004-400000000000000000000000000000000002-22-200
χ4444-4-44-4400004-4-400004-40000000000000000000000000000000000-22-2200
χ4544-4-4-44400004-4-40000-4400000000000000000000000000000000002i−2i−2i2i00
χ4644-4-4-44400004-4-40000-440000000000000000000000000000000000−2i2i2i−2i00
χ474-44-4004004i−4i-4-440000004i−4i0000000000000000000000002-22i−2i0000000000
χ484-44-4004004i−4i-4-440000004i−4i000000000000000000000000-22−2i2i0000000000
χ494-44-400400−4i4i-4-44000000−4i4i0000000000000000000000002-2−2i2i0000000000
χ504-44-400400−4i4i-4-44000000−4i4i000000000000000000000000-222i−2i0000000000
χ514-4-440044-400-44-4000000004-4000000000000000000000000002i−2i2i−2i000000
χ524-4-440044-400-44-4000000004-400000000000000000000000000−2i2i−2i2i000000
χ534-4-44004-4400-44-400000000-44000000000000000000000000002i−2i−2i2i000000
χ544-4-44004-4400-44-400000000-4400000000000000000000000000−2i2i2i−2i000000
χ5588-8-88-8-40000-4440000-440000000000000000000000000000000000000000
χ5688-8-8-88-40000-44400004-40000000000000000000000000000000000000000
χ578-88-800-4008i−8i44-4000000−4i4i00000000000000000000000000000000000000
χ588-88-800-400−8i8i44-40000004i−4i00000000000000000000000000000000000000
χ598-8-8800-48-8004-4400000000-44000000000000000000000000000000000000
χ608-8-8800-4-88004-44000000004-4000000000000000000000000000000000000

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