Finite Group Databasebeta

← Group #10949939

Character table — Group #10949939

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222222222222244444444444448888888888888888881212121216161616161616161616242424242424242424244848
order122223444468812126668881212122424242422441616161624244848484848484848888844661212121212124488881616161644
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ911-1-111-1-111111-1-1-1-111-1-11-11-1-1111-11-111-1-11-11111-1-1-1-111-1-11-11-11-111-1-11-111-1-111-1-11-1
χ1011-1-111-1-111111-1-1-1-111-1-11-11-1-1111-11-111-1-11-11111-1-1-1-1-1-1111-11-11-111-1-1-11-1-111-1-111-11
χ1111-1-111-1-111111-1-1-1-111-1-11-11-1-1111-11-1-1-1111-1-1-1-1-1111111-1-1-111-11-1-1-1111-111-1-1-1-111-11
χ1211-1-111-1-111111-1-1-1-111-1-11-11-1-1111-11-1-1-1111-1-1-1-1-11111-1-111-111-11-1-1-111-11-1-11111-1-11-1
χ1311-1-111-1-111111-1-1-1-111-1-11-11-1-111-11-1111-1-11-11111-1-1-1-111-1-1-11-11-11-1-1111-1-1-11111-1-1-11
χ1411-1-111-1-111111-1-1-1-111-1-11-11-1-111-11-1111-1-11-11111-1-1-1-1-1-111-11-11-11-1-111-1111-1-1-1-1111-1
χ1511-1-111-1-111111-1-1-1-111-1-11-11-1-111-11-11-1-1111-1-1-1-1-1111111-1-11-1-11-1111-1-11-1-1-111-1-1111-1
χ1611-1-111-1-111111-1-1-1-111-1-11-11-1-111-11-11-1-1111-1-1-1-1-11111-1-1111-1-11-1111-1-1-1111-1-111-1-1-11
χ1722222222222-2-222222-2-2-2222-2-2-2-200000000-2-20000000022220000000000-2-20000000000
χ1822222222222-2-222222-2-2-2222-2-2-2-200000000-2-200000000-2-2-2-20000000000220000000000
χ1922222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ2022222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-2-2-1-1-1-11111000000000000
χ2122222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2222222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000221111-1-1-1-1000000000000
χ23222-2-222-22-2222222-2-2-22-2-2-22222200000000-2-20000000000000000000000002i−2i2i−2i000000
χ24222-2-222-22-2222222-2-2-22-2-2-22222200000000-2-2000000000000000000000000−2i2i−2i2i000000
χ25222-2-222-22-22-2-2222-2-22-22-2-22-2-2-2-22-2-22000022000000000000002-2-220000000000000000
χ26222-2-222-22-22-2-2222-2-22-22-2-22-2-2-2-2-222-200002200000000000000-222-20000000000000000
χ27222-2-22-22-22200-2-22-2-200022-200000000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i22-22-20000000000000000−i2i2−i2i200
χ28222-2-22-22-22200-2-22-2-200022-200000000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2-22-220000000000000000i2−i2i2−i200
χ29222-2-22-22-22200-2-22-2-200022-200000000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i22-22-20000000000000000i2−i2i2−i200
χ30222-2-22-22-22200-2-22-2-200022-200000000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i2-22-220000000000000000−i2i2−i2i200
χ31222-2-2-12-22-2-1-2-2-1-1-1112-2211-111112-2-220000-1-13−33−33−33−3000000-111-13−33−3000000000000
χ32222-2-2-12-22-2-1-2-2-1-1-1112-2211-111112-2-220000-1-1−33−33−33−33000000-111-1−33−33000000000000
χ33222-2-2-12-22-2-1-2-2-1-1-1112-2211-11111-222-20000-1-13−33−33−33−30000001-1-11−33−33000000000000
χ34222-2-2-12-22-2-1-2-2-1-1-1112-2211-11111-222-20000-1-1−33−33−33−330000001-1-113−33−3000000000000
χ3522-22-222-2-2220022-22-20002-2-200000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i22-2-220000000000000000−i2i2i2−i200
χ3622-22-222-2-2220022-22-20002-2-200000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2-222-20000000000000000i2−i2−i2i200
χ3722-22-222-2-2220022-22-20002-2-200000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i22-2-220000000000000000i2−i2−i2i200
χ3822-22-222-2-2220022-22-20002-2-200000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2-222-20000000000000000−i2i2i2−i200
χ3922-22-22-222-2222-2-2-22-2-2-22-222-2-22200000000-220000000000000000000000002i−2i−2i2i000000
χ4022-22-22-222-2222-2-2-22-2-2-22-222-2-22200000000-22000000000000000000000000−2i2i2i−2i000000
χ4122-22-22-222-22-2-2-2-2-22-222-2-22222-2-222-2-200002-20000000000000022-2-20000000000000000
χ4222-22-22-222-22-2-2-2-2-22-222-2-22222-2-2-2-22200002-200000000000000-2-2220000000000000000
χ4322-22-2-1-222-2-1-2-2111-1122-21-1-1-1-11122-2-20000-113−33−3−33−33000000-1-1113−3−33000000000000
χ4422-22-2-1-222-2-1-2-2111-1122-21-1-1-1-11122-2-20000-11−33−333−33−3000000-1-111−333−3000000000000
χ4522-22-2-1-222-2-1-2-2111-1122-21-1-1-1-111-2-2220000-113−33−3−33−3300000011-1-1−333−3000000000000
χ4622-22-2-1-222-2-1-2-2111-1122-21-1-1-1-111-2-2220000-11−33−333−33−300000011-1-13−3−33000000000000
χ4722-2-222-2-2222-2-2-2-2-2-22-2222-2222-2-200000000-220000000022-2-20000000000-220000000000
χ4822-2-222-2-2222-2-2-2-2-2-22-2222-2222-2-200000000-2200000000-2-22200000000002-20000000000
χ4922-2-22-1-2-222-1221111-12-2-2-11-111-1-12-22-222-2-2-11-1-1-1-1111100002-2-11-11-1-111000000000000
χ5022-2-22-1-2-222-1221111-12-2-2-11-111-1-12-22-2-2-222-111111-1-1-1-10000-22-11-1111-1-1000000000000
χ5122-2-22-1-2-222-1221111-12-2-2-11-111-1-1-22-2222-2-2-11-1-1-1-111110000-221-11-111-1-1000000000000
χ5222-2-22-1-2-222-1221111-12-2-2-11-111-1-1-22-22-2-222-111111-1-1-1-100002-21-11-1-1-111000000000000
χ53444444-4-4-4-4400-4-4444000-4-4-4000000000000000000000000000000000000000000000000
χ5444444-24444-2-4-4-2-2-2-2-2-4-4-4-2-2-2222200000000220000000000000000000000000000000000
χ5544444-2-4-4-4-4-20022-2-2-200022200000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ5644444-2-4-4-4-4-20022-2-2-200022200000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ57444-4-4-24-44-4-244-2-2-222-44-422-2-2-2-2-200000000220000000000000000000000000000000000
χ58444-4-4-2-44-44-20022-222000-2-2200000000−2i22i2−2i22i200i2i2−i2−i2i2i2−i2−i200000000000000000000000000
χ59444-4-4-2-44-44-20022-222000-2-22000000002i2−2i22i2−2i200−i2−i2i2i2−i2−i2i2i200000000000000000000000000
χ6044-44-4-24-4-44-200-2-22-22000-22200000000−2i22i22i2−2i200i2i2−i2−i2−i2−i2i2i200000000000000000000000000
χ6144-44-4-24-4-44-200-2-22-22000-222000000002i2−2i2−2i22i200−i2−i2i2i2i2i2−i2−i200000000000000000000000000
χ6244-44-4-2-444-4-244222-22-4-442-2-222-2-2000000002-20000000000000000000000000000000000
χ6344-4-44444-4-440044-4-44000-44-4000000000000000000000000000000000000000000000000
χ6444-4-44-244-4-4-200-2-222-20002-2200000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ6544-4-44-244-4-4-200-2-222-20002-2200000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ6644-4-44-2-4-444-2-4-42222-2-444-22-2-2-222000000002-20000000000000000000000000000000000
χ678-800080000-8−4i24i20000000000000−4i24i200000000000000000000000000000000000000000000
χ688-800080000-84i2−4i200000000000004i2−4i200000000000000000000000000000000000000000000
χ698-8000-400004−4i24i243−430000000002i6−2i62i2−2i200000000000000000000000000000000000000000000
χ708-8000-400004−4i24i2−4343000000000−2i62i62i2−2i200000000000000000000000000000000000000000000
χ718-8000-4000044i2−4i243−43000000000−2i62i6−2i22i200000000000000000000000000000000000000000000
χ728-8000-4000044i2−4i2−43430000000002i6−2i6−2i22i200000000000000000000000000000000000000000000

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