Finite Group Databasebeta

← Group #10897640

Character table — Group #10897640

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222222222444444444444888888888888888888121212121212121212121212161616161616161616162424242424244848
order12442223444444461212446661212121212121224888888121224242424242424242244444488884681212122424242424888848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111111-1-1
χ5111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-11111
χ911111111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1111-1
χ1011111111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1111-1-1-1-1-1-111-1-1-11
χ1111111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1111-1-1-1-111-1-111-1-11-1
χ1211111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-111-11
χ1311111111-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111-11
χ1411111111-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1111111-1-1-1-11-1
χ1511111111-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111111-1-1-11111-1-111-1-1-1-1-11
χ1611111111-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111111-1
χ172222222-12222222-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000000000002-12-1-1-1-1-1-1-100000000
χ182222222-12222222-1-1-122-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-111111111000000000000-2-1-2-111-1-11100000000
χ192222222-12222222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1000000000000-21-2111111100000000
χ202222222-12222222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000000000002121-1-111-1-100000000
χ212222222-1-2-2-2-2222-1-1-1-2-2-1-1-1-11111-1-122-2-222-2-211-1-1-1-111110000000000002-1-2-1-1-1111100000000
χ222222222-1-2-2-2-2222-1-1-1-2-2-1-1-1-11111-1-122-2-2-2-222111111-1-1-1-1000000000000-2-12-11111-1-100000000
χ232222222-1-2-2-2-2222-1-1-1-2-2-1-1-1-11111-1-1-2-22222-2-211-1-1-1-11111000000000000-212111-1-1-1-100000000
χ242222222-1-2-2-2-2222-1-1-1-2-2-1-1-1-11111-1-1-2-222-2-222111111-1-1-1-100000000000021-21-1-1-1-11100000000
χ252222-2-2222222-2-22222-2-2-22-2-222222-200000000-2-2000000000000000022-2-2000000000000002-200
χ262222-2-2222222-2-22222-2-2-22-2-222222-200000000-2-20000000000000000-2-22200000000000000-2200
χ272222-2-222-2-2-2-2-2-2222222-22-2-2-2-2-2-22-20000000022000000000000000022-2-200000000000000-2200
χ282222-2-222-2-2-2-2-2-2222222-22-2-2-2-2-2-22-200000000220000000000000000-2-222000000000000002-200
χ2922-2-222220000-2-2-22-2-200222-20000-2-20000002i−2i0000002i2i−2i−2i22-2-200002i−2i2i−2i000000000000000000
χ3022-2-222220000-2-2-22-2-200222-20000-2-20000002i−2i0000002i2i−2i−2i-2-2220000−2i2i−2i2i000000000000000000
χ3122-2-222220000-2-2-22-2-200222-20000-2-2000000−2i2i000000−2i−2i2i2i22-2-20000−2i2i−2i2i000000000000000000
χ3222-2-222220000-2-2-22-2-200222-20000-2-2000000−2i2i000000−2i−2i2i2i-2-22200002i−2i2i−2i000000000000000000
χ3322-2-22-2-222i2i−2i−2i-2222-2-22i−2i-2-2222i2i−2i−2i2-2000000002i−2i0000000000000000000000000000002-22i−2i0000
χ3422-2-22-2-222i2i−2i−2i-2222-2-22i−2i-2-2222i2i−2i−2i2-2000000002i−2i000000000000000000000000000000-22−2i2i0000
χ3522-2-22-2-22−2i−2i2i2i-2222-2-2−2i2i-2-222−2i−2i2i2i2-200000000−2i2i0000000000000000000000000000002-2−2i2i0000
χ3622-2-22-2-22−2i−2i2i2i-2222-2-2−2i2i-2-222−2i−2i2i2i2-200000000−2i2i000000000000000000000000000000-222i−2i0000
χ3722-2-2-22-222i2i−2i−2i2-222-2-2−2i2i2-2-2-22i2i−2i−2i222-22i−2i0000−2i2i00000000000000000000020-2002i−2i0000000000
χ3822-2-2-22-222i2i−2i−2i2-222-2-2−2i2i2-2-2-22i2i−2i−2i22-22−2i2i0000−2i2i000000000000000000000-20200−2i2i0000000000
χ3922-2-2-22-22−2i−2i2i2i2-222-2-22i−2i2-2-2-2−2i−2i2i2i222-2−2i2i00002i−2i00000000000000000000020-200−2i2i0000000000
χ4022-2-2-22-22−2i−2i2i2i2-222-2-22i−2i2-2-2-2−2i−2i2i2i22-222i−2i00002i−2i000000000000000000000-202002i−2i0000000000
χ4122-2-2-22-2-12i2i−2i−2i2-22-111−2i2i-1111−i−iii-1-12-22i−2i0000i−i33−3−3−i3i3−i3i30000000000000-1013−3−ii−i3i300000000
χ4222-2-2-22-2-12i2i−2i−2i2-22-111−2i2i-1111−i−iii-1-12-22i−2i0000i−i−3−333i3−i3i3−i30000000000000-101−33−iii3−i300000000
χ4322-2-2-22-2-12i2i−2i−2i2-22-111−2i2i-1111−i−iii-1-1-22−2i2i0000i−i33−3−3−i3i3−i3i3000000000000010-1−33i−ii3−i300000000
χ4422-2-2-22-2-12i2i−2i−2i2-22-111−2i2i-1111−i−iii-1-1-22−2i2i0000i−i−3−333i3−i3i3−i3000000000000010-13−3i−i−i3i300000000
χ4522-2-2-22-2-1−2i−2i2i2i2-22-1112i−2i-1111ii−i−i-1-12-2−2i2i0000−ii33−3−3i3−i3i3−i30000000000000-1013−3i−ii3−i300000000
χ4622-2-2-22-2-1−2i−2i2i2i2-22-1112i−2i-1111ii−i−i-1-12-2−2i2i0000−ii−3−333−i3i3−i3i30000000000000-101−33i−i−i3i300000000
χ4722-2-2-22-2-1−2i−2i2i2i2-22-1112i−2i-1111ii−i−i-1-1-222i−2i0000−ii33−3−3i3−i3i3−i3000000000000010-1−33−ii−i3i300000000
χ4822-2-2-22-2-1−2i−2i2i2i2-22-1112i−2i-1111ii−i−i-1-1-222i−2i0000−ii−3−333−i3i3−i3i3000000000000010-13−3−iii3−i300000000
χ4922-2-2-2-222000022-22-2-200-22-220000-2200002i−2i00002i−2i2i−2i0000000022-2-22i−2i−2i2i000000000000000000
χ5022-2-2-2-222000022-22-2-200-22-220000-2200002i−2i00002i−2i2i−2i00000000-2-222−2i2i2i−2i000000000000000000
χ5122-2-2-2-222000022-22-2-200-22-220000-220000−2i2i0000−2i2i−2i2i0000000022-2-2−2i2i2i−2i000000000000000000
χ5222-2-2-2-222000022-22-2-200-22-220000-220000−2i2i0000−2i2i−2i2i00000000-2-2222i−2i−2i2i000000000000000000
χ5344444-4-4400004-4-444400-4-44-40000-44000000000000000000000000000000000000000000000000
χ5444444-4-4-200004-4-4-2-2-20022-2200002-20000000000−2i32i32i3−2i30000000000000000000000000000000000
χ5544444-4-4-200004-4-4-2-2-20022-2200002-200000000002i3−2i3−2i32i30000000000000000000000000000000000
χ564444-44-440000-44-4444004-4-440000-4-4000000000000000000000000000000000000000000000000
χ574444-44-4-20000-44-4-2-2-200-222-20000220000000000000023−23−2323000000000000000000000000000000
χ584444-44-4-20000-44-4-2-2-200-222-200002200000000000000−232323−23000000000000000000000000000000
χ594444-4-44-24444-4-44-2-2-2-4-42-222-2-2-2-2-22000000002200000000000000000000000000000000000000
χ604444-4-44-2-4-4-4-4-4-44-2-2-2442-2222222-2200000000-2-200000000000000000000000000000000000000
χ6144-4-4444-20000-4-4-4-22200-2-2-220000220000004i−4i000000−2i−2i2i2i000000000000000000000000000000
χ6244-4-4444-20000-4-4-4-22200-2-2-22000022000000−4i4i0000002i2i−2i−2i000000000000000000000000000000
χ6344-4-44-4-4-24i4i−4i−4i-444-2224i−4i22-2-2−2i−2i2i2i-2200000000−2i2i00000000000000000000000000000000000000
χ6444-4-44-4-4-2−4i−4i4i4i-444-222−4i4i22-2-22i2i−2i−2i-22000000002i−2i00000000000000000000000000000000000000
χ6544-4-4-4-44-2000044-4-222002-22-200002-200004i−4i0000−2i2i−2i2i0000000000000000000000000000000000
χ6644-4-4-4-44-2000044-4-222002-22-200002-20000−4i4i00002i−2i2i−2i0000000000000000000000000000000000
χ674-44i−4i00042+2i−2−2i2−2i−2+2i000-44i−4i0000002+2i−2−2i2−2i−2+2i000000000000000000002-22i−2i2-22i−2i0000000000000000000000
χ684-44i−4i00042+2i−2−2i2−2i−2+2i000-44i−4i0000002+2i−2−2i2−2i−2+2i00000000000000000000-22−2i2i-22−2i2i0000000000000000000000
χ694-44i−4i0004−2−2i2+2i−2+2i2−2i000-44i−4i000000−2−2i2+2i−2+2i2−2i000000000000000000002-22i−2i-22−2i2i0000000000000000000000
χ704-44i−4i0004−2−2i2+2i−2+2i2−2i000-44i−4i000000−2−2i2+2i−2+2i2−2i00000000000000000000-22−2i2i2-22i−2i0000000000000000000000
χ714-4−4i4i00042−2i−2+2i2+2i−2−2i000-4−4i4i0000002−2i−2+2i2+2i−2−2i000000000000000000002-2−2i2i2-2−2i2i0000000000000000000000
χ724-4−4i4i00042−2i−2+2i2+2i−2−2i000-4−4i4i0000002−2i−2+2i2+2i−2−2i00000000000000000000-222i−2i-222i−2i0000000000000000000000
χ734-4−4i4i0004−2+2i2−2i−2−2i2+2i000-4−4i4i000000−2+2i2−2i−2−2i2+2i000000000000000000002-2−2i2i-222i−2i0000000000000000000000
χ744-4−4i4i0004−2+2i2−2i−2−2i2+2i000-4−4i4i000000−2+2i2−2i−2−2i2+2i00000000000000000000-222i−2i2-2−2i2i0000000000000000000000
χ758-88i−8i000-44+4i−4−4i4−4i−4+4i0004−4i4i000000−2−2i2+2i−2+2i2−2i00000000000000000000000000000000000000000000000000
χ768-88i−8i000-4−4−4i4+4i−4+4i4−4i0004−4i4i0000002+2i−2−2i2−2i−2+2i00000000000000000000000000000000000000000000000000
χ778-8−8i8i000-44−4i−4+4i4+4i−4−4i00044i−4i000000−2+2i2−2i−2−2i2+2i00000000000000000000000000000000000000000000000000
χ788-8−8i8i000-4−4+4i4−4i−4−4i4+4i00044i−4i0000002−2i−2+2i2+2i−2−2i00000000000000000000000000000000000000000000000000

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