Finite Group Databasebeta

← Group #10950095

Character table — Group #10950095

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222222222222244444444444448888888888888888881212121216161616161616161616242424242424242424244848
order1222234444666886688812121212242424248888161616162424484848484848484822444412121212242424248888881616161644
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ911-1-111-1-111-1-11-1-11-1-111-1-111-1-11111-1-111-1-11-11111-1-1-1-11-11-11-111-1-111-1-11-111-1-111-1-11-1
χ1011-1-111-1-111-1-11-1-11-1-111-1-111-1-11111-1-111-1-11-11111-1-1-1-1-11-111-111-1-111-1-1-11-1-111-1-111-11
χ1111-1-111-1-111-1-11-1-11-1-111-1-111-1-11111-1-1-1-1111-1-1-1-1-111111-11-1-11-1-11111-1-11-111-1-1-1-111-11
χ1211-1-111-1-111-1-11-1-11-1-111-1-111-1-11111-1-1-1-1111-1-1-1-1-11111-11-11-11-1-11111-1-1-11-1-11111-1-11-1
χ1311-1-111-1-111-1-11-1-11-1-111-1-111-1-111-1-11111-1-11-11111-1-1-1-11-11-1-11-1-111-1-1111-1-1-11111-1-1-11
χ1411-1-111-1-111-1-11-1-11-1-111-1-111-1-111-1-11111-1-11-11111-1-1-1-1-11-11-11-1-111-1-111-1111-1-1-1-1111-1
χ1511-1-111-1-111-1-11-1-11-1-111-1-111-1-111-1-111-1-1111-1-1-1-1-111111-11-11-111-1-1-1-1111-1-1-111-1-1111-1
χ1611-1-111-1-111-1-11-1-11-1-111-1-111-1-111-1-111-1-1111-1-1-1-1-11111-11-111-111-1-1-1-111-1111-1-111-1-1-11
χ172222222222222-2-222-2-2-22222-2-2-2-200000000-2-20000000022220000000000-2-20000000000
χ182222222222222-2-222-2-2-22222-2-2-2-200000000-2-200000000-2-2-2-20000000000220000000000
χ19222222-2-2-2-22220022000-2-2-2-200000000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i22-2-220000000000000000−i2i2−i2i200
χ20222222-2-2-2-22220022000-2-2-2-200000000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2-222-20000000000000000i2−i2i2−i200
χ21222222-2-2-2-22220022000-2-2-2-200000000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i22-2-220000000000000000i2−i2i2−i200
χ22222222-2-2-2-22220022000-2-2-2-200000000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i2-222-20000000000000000−i2i2−i2i200
χ2322222-12222-1-1-122-1-1222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ2422222-12222-1-1-122-1-1222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-2-21111-1-1-1-1000000000000
χ2522222-12222-1-1-122-1-1222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2622222-12222-1-1-122-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111000022-1-1-1-11111000000000000
χ27222-2-222-22-222222-2-2-22-22-22-2222200000000-2-20000000000000000000000002i−2i2i−2i000000
χ28222-2-222-22-222222-2-2-22-22-22-2222200000000-2-2000000000000000000000000−2i2i−2i2i000000
χ29222-2-222-22-2222-2-2-2-22-222-22-2-2-2-2-22i−2i2i−2i0000220000000000000000002i−2i2i−2i000000000000
χ30222-2-222-22-2222-2-2-2-22-222-22-2-2-2-2-2−2i2i−2i2i000022000000000000000000−2i2i−2i2i000000000000
χ31222-2-2-12-22-2-1-1-1-2-2112-22-11-1111112i−2i2i−2i0000-1-13−33−33−33−3000000−i3i3−i3i3−ii−ii000000000000
χ32222-2-2-12-22-2-1-1-1-2-2112-22-11-1111112i−2i2i−2i0000-1-1−33−33−33−33000000i3−i3i3−i3−ii−ii000000000000
χ33222-2-2-12-22-2-1-1-1-2-2112-22-11-111111−2i2i−2i2i0000-1-13−33−33−33−3000000i3−i3i3−i3i−ii−i000000000000
χ34222-2-2-12-22-2-1-1-1-2-2112-22-11-111111−2i2i−2i2i0000-1-1−33−33−33−33000000−i3i3−i3i3i−ii−i000000000000
χ3522-22-22-222-2-2-2222-22-2-22-222-222-2-22i−2i−2i2i00002-20000000000000000002i−2i−2i2i000000000000
χ3622-22-22-222-2-2-2222-22-2-22-222-222-2-2−2i2i2i−2i00002-2000000000000000000−2i2i2i−2i000000000000
χ3722-22-22-222-2-2-22-2-2-2222-2-222-2-2-22200000000-220000000000000000000000002i−2i−2i2i000000
χ3822-22-22-222-2-2-22-2-2-2222-2-222-2-2-22200000000-22000000000000000000000000−2i2i2i−2i000000
χ3922-22-2-1-222-211-1221-1-2-221-1-11-1-1112i−2i−2i2i0000-113−33−3−33−33000000−i3i3i3−i3−iii−i000000000000
χ4022-22-2-1-222-211-1221-1-2-221-1-11-1-1112i−2i−2i2i0000-11−33−333−33−3000000i3−i3−i3i3−iii−i000000000000
χ4122-22-2-1-222-211-1221-1-2-221-1-11-1-111−2i2i2i−2i0000-113−33−3−33−33000000i3−i3−i3i3i−i−ii000000000000
χ4222-22-2-1-222-211-1221-1-2-221-1-11-1-111−2i2i2i−2i0000-11−33−333−33−3000000−i3i3i3−i3i−i−ii000000000000
χ4322-2-22222-2-2-2-22002-200022-2-200000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i222-2-20000000000000000−i2i2i2−i200
χ4422-2-22222-2-2-2-22002-200022-2-200000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2-2-2220000000000000000i2−i2−i2i200
χ4522-2-22222-2-2-2-22002-200022-2-200000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i222-2-20000000000000000i2−i2−i2i200
χ4622-2-22222-2-2-2-22002-200022-2-200000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2-2-2220000000000000000−i2i2i2−i200
χ4722-2-222-2-222-2-22222-22-2-2-2-22222-2-200000000-22000000002-22-20000000000-220000000000
χ4822-2-222-2-222-2-22222-22-2-2-2-22222-2-200000000-2200000000-22-2200000000002-20000000000
χ4922-2-22-1-2-22211-1-2-2-11-22211-1-111-1-122-2-222-2-2-11-1-1-1-1111100002-2-1-111-1-111000000000000
χ5022-2-22-1-2-22211-1-2-2-11-22211-1-111-1-122-2-2-2-222-111111-1-1-1-10000-2211-1-1-1-111000000000000
χ5122-2-22-1-2-22211-1-2-2-11-22211-1-111-1-1-2-22222-2-2-11-1-1-1-111110000-2211-1-111-1-1000000000000
χ5222-2-22-1-2-22211-1-2-2-11-22211-1-111-1-1-2-222-2-222-111111-1-1-1-100002-2-1-11111-1-1000000000000
χ5344444-24444-2-2-2-4-4-2-2-4-4-4-2-2-2-2222200000000220000000000000000000000000000000000
χ5444444-2-4-4-4-4-2-2-200-2-2000222200000000−2i22i2−2i22i200i2i2−i2−i2i2i2−i2−i200000000000000000000000000
χ5544444-2-4-4-4-4-2-2-200-2-20002222000000002i2−2i22i2−2i200−i2−i2i2i2−i2−i2i2i200000000000000000000000000
χ56444-4-44-44-4444400-4-4000-44-44000000000000000000000000000000000000000000000000
χ57444-4-4-24-44-4-2-2-24422-44-4-22-22-2-2-2-200000000220000000000000000000000000000000000
χ58444-4-4-2-44-44-2-2-200220002-22-200000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ59444-4-4-2-44-44-2-2-200220002-22-200000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ6044-44-444-4-44-4-4400-440004-4-44000000000000000000000000000000000000000000000000
χ6144-44-4-24-4-4422-2002-2000-222-200000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ6244-44-4-24-4-4422-2002-2000-222-200000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ6344-44-4-2-444-422-2-4-42-244-42-2-2222-2-2000000002-20000000000000000000000000000000000
χ6444-4-44-244-4-422-200-22000-2-22200000000−2i22i22i2−2i200i2i2−i2−i2−i2−i2i2i200000000000000000000000000
χ6544-4-44-244-4-422-200-22000-2-222000000002i2−2i2−2i22i200−i2−i2i2i2i2i2−i2−i200000000000000000000000000
χ6644-4-44-2-4-44422-244-224-4-422-2-2-2-222000000002-20000000000000000000000000000000000
χ678-80008000000-842−4200000000042−420000000000000000000000000000000000000000000000
χ688-80008000000-8−4242000000000−42420000000000000000000000000000000000000000000000
χ698-8000-40000−4i34i3442−42000000000−22222i6−2i600000000000000000000000000000000000000000000
χ708-8000-40000−4i34i34−424200000000022−22−2i62i600000000000000000000000000000000000000000000
χ718-8000-400004i3−4i3442−42000000000−2222−2i62i600000000000000000000000000000000000000000000
χ728-8000-400004i3−4i34−424200000000022−222i6−2i600000000000000000000000000000000000000000000

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