Finite Group Databasebeta

← Group #10883504

Character table — Group #10883504

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444466668888888888888888881212121212121616161616161616161624242424242424244848
order122222344446668888668812121212242424244444244444668812122424242424244488888812121212242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1
χ31111111111111111111111111111111111-111-111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-111-111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111
χ7111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1
χ911111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11-111-1-111-1-11-1-1111-1-11-1
χ1011111111111111-1-1-1-111-1-11111-1-1-1-111111-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-1-11
χ1111111111111111-1-1-1-111-1-11111-1-1-1-11111-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-1-1-11111-11
χ1211111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-111-1-1-1111-1
χ1311111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-1-111-1-1-111-11
χ1411111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-111111-1
χ1511111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-11111-1111-1-1-1-1111111-1-1-1-11-1
χ1611111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-1-1-11111-1-11-1-1111-1-1-11
χ172222222-2-2-2-222200002200-2-2-2-200002222000000002i−2i00002i2i−2i−2i-2-2000000000000000000002i−2i00
χ182222222-2-2-2-222200002200-2-2-2-20000222200000000−2i2i0000−2i−2i2i2i-2-200000000000000000000−2i2i00
χ192222222-2-2-2-222200002200-2-2-2-20000-2-2-2-2000000002i−2i00002i2i−2i−2i2200000000000000000000−2i2i00
χ202222222-2-2-2-222200002200-2-2-2-20000-2-2-2-200000000−2i2i0000−2i−2i2i2i22000000000000000000002i−2i00
χ21222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-10000222222-1-122-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-100002-2-22-2-2-1-122-1-1-1-1-1-1-1-1000000-2-2111111110000000000
χ23222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-10000-222-22211-2-211-1-11111000000-2-2-1-1-1-111110000000000
χ24222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-211-2-211-1-11111000000221111-1-1-1-10000000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-1111100002222-2-2-1-1-2-2-1-11111110000002-2-1-111-1-1110000000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-1111100002-2-2222-1-1-2-2-1-1111111000000-2211-1-111-1-10000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-111110000-222-2-2-211221111-1-1-1-1000000-22-1-11111-1-10000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-111110000-2-2-2-22211221111-1-1-1-10000002-211-1-1-1-1110000000000
χ292222-2-222-2-222222222-2-2-2-22-2-22222222-2-2000000000000-2-200002-222-2-200000000000000000000
χ302222-2-222-2-222222222-2-2-2-22-2-222222-2-222000000000000-2-20000-22-2-22200000000000000000000
χ312222-2-222-2-22222-2-2-2-2-2-2222-2-22-2-2-2-222-2-20000000000002200002-2-2-22200000000000000000000
χ322222-2-222-2-22222-2-2-2-2-2-2222-2-22-2-2-2-2-2-222000000000000220000-2222-2-200000000000000000000
χ332222-2-22-222-22220000-2-200-222-2000022-2-2200-2002200-2-2000000-2200000000000000200-2000000
χ342222-2-22-222-22220000-2-200-222-2000022-2-2-200200-2-20022000000-2200000000000000-2002000000
χ352222-2-22-222-22220000-2-200-222-20000-2-222200-2002200-2-20000002-200000000000000-2002000000
χ362222-2-22-222-22220000-2-200-222-20000-2-222-200200-2-200220000002-200000000000000200-2000000
χ372-2-222-2222-2-2-2-222i2i−2i−2i2-22i−2i22-2-22i2i−2i−2i00000000000000002i−2i0000000000000000000002i−2i02-20000
χ382-2-222-2222-2-2-2-222i2i−2i−2i2-22i−2i22-2-22i2i−2i−2i00000000000000002i−2i000000000000000000000−2i2i0-220000
χ392-2-222-2222-2-2-2-22−2i−2i2i2i2-2−2i2i22-2-2−2i−2i2i2i0000000000000000−2i2i0000000000000000000002i−2i0-220000
χ402-2-222-2222-2-2-2-22−2i−2i2i2i2-2−2i2i22-2-2−2i−2i2i2i0000000000000000−2i2i000000000000000000000−2i2i02-20000
χ412-2-22-2222-22-2-2-222i2i−2i−2i-22−2i2i2-22-22i2i−2i−2i000002i−2i02-2000000−2i2i0000000000002i−2i2-200000000000000
χ422-2-22-2222-22-2-2-222i2i−2i−2i-22−2i2i2-22-22i2i−2i−2i00000−2i2i0-22000000−2i2i000000000000−2i2i-2200000000000000
χ432-2-22-2222-22-2-2-22−2i−2i2i2i-222i−2i2-22-2−2i−2i2i2i000002i−2i0-220000002i−2i0000000000002i−2i-2200000000000000
χ442-2-22-2222-22-2-2-22−2i−2i2i2i-222i−2i2-22-2−2i−2i2i2i00000−2i2i02-20000002i−2i000000000000−2i2i2-200000000000000
χ452-2-22-22-12-22-211-12i2i−2i−2i1-1−2i2i-11-11−i−iii000002i−2i02-2−i3i300−i3i3i−i3−33−300000000−ii-113−3−i3i30000000000
χ462-2-22-22-12-22-211-12i2i−2i−2i1-1−2i2i-11-11−i−iii000002i−2i02-2i3−i300i3−i3i−i−33−3300000000−ii-11−33i3−i30000000000
χ472-2-22-22-12-22-211-12i2i−2i−2i1-1−2i2i-11-11−i−iii00000−2i2i0-22−i3i300−i3i3i−i3−33−300000000i−i1-1−33i3−i30000000000
χ482-2-22-22-12-22-211-12i2i−2i−2i1-1−2i2i-11-11−i−iii00000−2i2i0-22i3−i300i3−i3i−i−33−3300000000i−i1-13−3−i3i30000000000
χ492-2-22-22-12-22-211-1−2i−2i2i2i1-12i−2i-11-11ii−i−i000002i−2i0-22−i3i300−i3i3−ii−33−3300000000−ii1-13−3i3−i30000000000
χ502-2-22-22-12-22-211-1−2i−2i2i2i1-12i−2i-11-11ii−i−i000002i−2i0-22i3−i300i3−i3−ii3−33−300000000−ii1-1−33−i3i30000000000
χ512-2-22-22-12-22-211-1−2i−2i2i2i1-12i−2i-11-11ii−i−i00000−2i2i02-2−i3i300−i3i3−ii−33−3300000000i−i-11−33−i3i30000000000
χ522-2-22-22-12-22-211-1−2i−2i2i2i1-12i−2i-11-11ii−i−i00000−2i2i02-2i3−i300i3−i3−ii3−33−300000000i−i-113−3i3−i30000000000
χ53444444-2-4-4-4-4-2-2-20000-2-200222200000000000000004i−4i0000−2i−2i2i2i00000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-20022220000000000000000−4i4i00002i2i−2i−2i00000000000000000000000000
χ554444-4-4-24-4-44-2-2-2444422-4-4-222-2-2-2-2-2000000000000000022000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-4-4-4-42244-222-222220000000000000000-2-2000000000000000000000000000000
χ574444-4-4-2-444-4-2-2-2000022002-2-2200000000400-400-2-2002200000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-2000022002-2-2200000000-4004002200-2-200000000000000000000000000000000
χ5944-4-400400004-4-422−2222−220000000022−2222−224-4000000000000000000000022−220000000000000000000000
χ6044-4-400400004-4-422−2222−220000000022−2222−22-440000000000000000000000−22220000000000000000000000
χ6144-4-400400004-4-4−2222−222200000000−2222−22224-40000000000000000000000−22220000000000000000000000
χ6244-4-400400004-4-4−2222−222200000000−2222−2222-44000000000000000000000022−220000000000000000000000
χ634-44-40040000-44-4−2i22i22i2−2i200000000−2i22i22i2−2i2004i−4i000000000000000000000022−2200000000000000000000
χ644-44-40040000-44-4−2i22i22i2−2i200000000−2i22i22i2−2i200−4i4i0000000000000000000000−222200000000000000000000
χ654-44-40040000-44-42i2−2i2−2i22i2000000002i2−2i2−2i22i2004i−4i0000000000000000000000−222200000000000000000000
χ664-44-40040000-44-42i2−2i2−2i22i2000000002i2−2i2−2i22i200−4i4i000000000000000000000022−2200000000000000000000
χ674-4-444-44-4-444-4-4400004-400-4-4440000000000000000000000000000000000000000000000000000
χ684-4-444-4-244-4-422-24i4i−4i−4i-224i−4i-2-222−2i−2i2i2i0000000000000000−2i2i000000000000000000000000000000
χ694-4-444-4-244-4-422-2−4i−4i4i4i-22−4i4i-2-2222i2i−2i−2i00000000000000002i−2i000000000000000000000000000000
χ704-4-444-4-2-4-44422-20000-220022-2-200000000000000−2i32i3002i3−2i300000000000000000000000000000000
χ714-4-444-4-2-4-44422-20000-220022-2-2000000000000002i3−2i300−2i32i300000000000000000000000000000000
χ724-4-44-444-44-44-4-440000-4400-44-440000000000000000000000000000000000000000000000000000
χ734-4-44-44-2-44-4422-200002-2002-22-20000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ744-4-44-44-2-44-4422-200002-2002-22-200000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ7588-8-800-40000-44442−4242−4200000000−2222−2222000000000000000000000000000000000000000000000000
χ7688-8-800-40000-444−4242−42420000000022−2222−22000000000000000000000000000000000000000000000000
χ778-88-800-400004-44−4i24i24i2−4i2000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ788-88-800-400004-444i2−4i2−4i24i200000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000

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