Finite Group Databasebeta

← Group #11799976

Character table — Group #11799976

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222224444444444444444444444888888888888888888888888161616161616161616161616161616161636367272727272144
order122333344666666668812121212121212122424242424242424881616242424244848484848484848484848484848484826666666624242424242424242488816164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1
χ41111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111
χ511111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1
χ611111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ711111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11
χ811111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1
χ922222222222222222-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000022-200000
χ1022222222222222222-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000-2-2200000
χ112222222-2-22222222200-2-2-2-2-2-2-2-20000000000−i2i20000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2000000000000000002-2000−i2i20
χ122222222-2-22222222200-2-2-2-2-2-2-2-20000000000−i2i20000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i200000000000000000-22000i2−i20
χ132222222-2-22222222200-2-2-2-2-2-2-2-20000000000i2−i20000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2000000000000000002-2000i2−i20
χ142222222-2-22222222200-2-2-2-2-2-2-2-20000000000i2−i20000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i200000000000000000-22000−i2i20
χ152222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-100000000
χ162222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-2-22-1-1-1-2-2111111-2-2111111-2-2-211111122-1-1-1-1-1-100000000
χ172222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-2222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111111-2-211111100000000
χ182222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1-2-2111111-2-2111111222-1-1-1-1-1-1-2-211111100000000
χ19222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-100000000
χ20222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-122-2-2-12-1-111-2-2111111-2-21111-211-2-21111-1-122-1-1-1-100000000
χ21222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-211-2-2111111-2-2111100000000
χ22222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-111-2-2111111-2-211112-1-122-1-1-1-111-2-2111100000000
χ23222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-100000000
χ24222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-122-2-2-1-12-11111-2-2111111-2-211-21111-2-211-1-1-1-122-1-100000000
χ25222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-21111-2-2111111-2-21100000000
χ26222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-11111-2-2111111-2-2112-1-1-1-122-1-11111-2-21100000000
χ27222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ28222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-1-1-12111111-2-2111111-2-2-2111111-2-2-1-1-1-1-1-12200000000
χ29222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2111111-2-2111111-2-200000000
χ30222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12111111-2-2111111-2-22-1-1-1-1-1-122111111-2-200000000
χ3122-222222-22222-2-2-2-22-22222-2-2-2-2222222220000-2-2-2-20000000000000000000000000000000000002i−2i000
χ3222-222222-22222-2-2-2-22-22222-2-2-2-2222222220000-2-2-2-2000000000000000000000000000000000000−2i2i000
χ3322-222222-22222-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-22i−2i00222200000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ3422-222222-22222-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2−2i2i0022220000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ3522-22-1-1-12-22-1-1-1-2111-222-1-1-1-2111-2-21111112i−2i002-1-1-1003−33−33−3003−33−33−3000−i3i3−i3i3−i3i32i−2i−ii−ii−ii00000000
χ3622-22-1-1-12-22-1-1-1-2111-222-1-1-1-2111-2-21111112i−2i002-1-1-100−33−33−3300−33−33−33000i3−i3i3−i3i3−i32i−2i−ii−ii−ii00000000
χ3722-22-1-1-12-22-1-1-1-2111-222-1-1-1-2111-2-2111111−2i2i002-1-1-1003−33−33−3003−33−33−3000i3−i3i3−i3i3−i3−2i2ii−ii−ii−i00000000
χ3822-22-1-1-12-22-1-1-1-2111-222-1-1-1-2111-2-2111111−2i2i002-1-1-100−33−33−3300−33−33−33000−i3i3−i3i3−i3i3−2i2ii−ii−ii−i00000000
χ3922-2-12-1-12-2-12-1-11-211-22-12-1-11-21111-2-211112i−2i00-12-1-13−3003−3−333−3003−3−330−i3i300−i3i3i3−i3−ii2i−2i−ii−ii00000000
χ4022-2-12-1-12-2-12-1-11-211-22-12-1-11-21111-2-211112i−2i00-12-1-1−3300−333−3−3300−333−30i3−i300i3−i3−i3i3−ii2i−2i−ii−ii00000000
χ4122-2-12-1-12-2-12-1-11-211-22-12-1-11-21111-2-21111−2i2i00-12-1-13−3003−3−333−3003−3−330i3−i300i3−i3−i3i3i−i−2i2ii−ii−i00000000
χ4222-2-12-1-12-2-12-1-11-211-22-12-1-11-21111-2-21111−2i2i00-12-1-1−3300−333−3−3300−333−30−i3i300−i3i3i3−i3i−i−2i2ii−ii−i00000000
χ4322-2-1-12-12-2-1-12-111-21-22-1-12-111-211111-2-2112i−2i00-1-12-13−3−33003−33−3−33003−30−i3i3i3−i300−i3i3−ii−ii2i−2i−ii00000000
χ4422-2-1-12-12-2-1-12-111-21-22-1-12-111-211111-2-2112i−2i00-1-12-1−333−300−33−333−300−330i3−i3−i3i300i3−i3−ii−ii2i−2i−ii00000000
χ4522-2-1-12-12-2-1-12-111-21-22-1-12-111-211111-2-211−2i2i00-1-12-13−3−33003−33−3−33003−30i3−i3−i3i300i3−i3i−ii−i−2i2ii−i00000000
χ4622-2-1-12-12-2-1-12-111-21-22-1-12-111-211111-2-211−2i2i00-1-12-1−333−300−33−333−300−330−i3i3i3−i300−i3i3i−ii−i−2i2ii−i00000000
χ4722-2-1-1-122-2-1-1-12111-2-22-1-1-12111-2111111-2-22i−2i00-1-1-123−33−3−33003−33−3−33000−i3i3−i3i3i3−i300−ii−ii−ii2i−2i00000000
χ4822-2-1-1-122-2-1-1-12111-2-22-1-1-12111-2111111-2-22i−2i00-1-1-12−33−333−300−33−333−3000i3−i3i3−i3−i3i300−ii−ii−ii2i−2i00000000
χ4922-2-1-1-122-2-1-1-12111-2-22-1-1-12111-2111111-2-2−2i2i00-1-1-123−33−3−33003−33−3−33000i3−i3i3−i3−i3i300i−ii−ii−i−2i2i00000000
χ5022-2-1-1-122-2-1-1-12111-2-22-1-1-12111-2111111-2-2−2i2i00-1-1-12−33−333−300−33−333−3000−i3i3−i3i3i3−i300i−ii−ii−i−2i2i00000000
χ514444-2-2-2444-2-2-24-2-2-2-4-44-2-2-24-2-2-2-4-42222220000-422200000000000000000000000000000000000000000
χ524444-2-2-2-4-44-2-2-24-2-2-200-4222-42220000000000−2i22i20000−2i2−2i2i2i2i2i2i2i22i22i2−i2−i2−i2−i2−i2−i20000000000000000000000000
χ534444-2-2-2-4-44-2-2-24-2-2-200-4222-422200000000002i2−2i200002i22i2−i2−i2−i2−i2−i2−i2−2i2−2i2i2i2i2i2i2i20000000000000000000000000
χ54444-24-2-244-24-2-2-24-2-2-4-4-24-2-2-24-2-222-4-4222200002-42200000000000000000000000000000000000000000
χ55444-24-2-2-4-4-24-2-2-24-2-2002-4222-4220000000000−2i22i20000i2i2−2i2−2i2i2i2i2i2−i2−i22i22i2−i2−i2−i2−i20000000000000000000000000
χ56444-24-2-2-4-4-24-2-2-24-2-2002-4222-42200000000002i2−2i20000−i2−i22i22i2−i2−i2−i2−i2i2i2−2i2−2i2i2i2i2i20000000000000000000000000
χ57444-2-24-244-2-24-2-2-24-2-4-4-2-24-2-2-24-22222-4-422000022-4200000000000000000000000000000000000000000
χ58444-2-24-2-4-4-2-24-2-2-24-20022-4222-420000000000−2i22i20000i2i2i2i2−2i2−2i2i2i2−i2−i2−i2−i22i22i2−i2−i20000000000000000000000000
χ59444-2-24-2-4-4-2-24-2-2-24-20022-4222-4200000000002i2−2i20000−i2−i2−i2−i22i22i2−i2−i2i2i2i2i2−2i2−2i2i2i20000000000000000000000000
χ60444-2-2-2444-2-2-24-2-2-24-4-4-2-2-24-2-2-24222222-4-40000222-400000000000000000000000000000000000000000
χ61444-2-2-24-4-4-2-2-24-2-2-2400222-4222-40000000000−2i22i20000i2i2i2i2i2i2−2i2−2i2−i2−i2−i2−i2−i2−i22i22i20000000000000000000000000
χ62444-2-2-24-4-4-2-2-24-2-2-2400222-4222-400000000002i2−2i20000−i2−i2−i2−i2−i2−i22i22i2i2i2i2i2i2i2−2i2−2i20000000000000000000000000
χ6344-44444-444444-4-4-4-400-4-4-4-44444000000000000000000000000000000000000000000000000000000000
χ6444-44-2-2-24-44-2-2-2-42224-44-2-2-2-422244-2-2-2-2-2-20000-422200000000000000000000000000000000000000000
χ6544-44-2-2-2-444-2-2-2-422200-42224-2-2-2000000000000000000i6−i6i6−i6i6−i600−i6i6−i6i6−i6i60000000000000000000000000
χ6644-44-2-2-2-444-2-2-2-422200-42224-2-2-2000000000000000000−i6i6−i6i6−i6i600i6−i6i6−i6i6−i60000000000000000000000000
χ6744-4-24-2-24-4-24-2-22-4224-4-24-2-22-422-2-244-2-2-2-200002-42200000000000000000000000000000000000000000
χ6844-4-24-2-2-44-24-2-22-422002-422-24-2-20000000000000000i6−i600i6−i6−i6i6−i6i600−i6i6i6−i60000000000000000000000000
χ6944-4-24-2-2-44-24-2-22-422002-422-24-2-20000000000000000−i6i600−i6i6i6−i6i6−i600i6−i6−i6i60000000000000000000000000
χ7044-4-2-24-24-4-2-24-222-424-4-2-24-222-42-2-2-2-244-2-2000022-4200000000000000000000000000000000000000000
χ7144-4-2-24-2-44-2-24-222-420022-42-2-24-20000000000000000i6−i6−i6i600i6−i6−i6i6i6−i600−i6i60000000000000000000000000
χ7244-4-2-24-2-44-2-24-222-420022-42-2-24-20000000000000000−i6i6i6−i600−i6i6i6−i6−i6i600i6−i60000000000000000000000000
χ7344-4-2-2-244-4-2-2-24222-44-4-2-2-24222-4-2-2-2-2-2-2440000222-400000000000000000000000000000000000000000
χ7444-4-2-2-24-44-2-2-24222-400222-4-2-2-240000000000000000i6−i6i6−i6−i6i600−i6i6−i6i6i6−i6000000000000000000000000000
χ7544-4-2-2-24-44-2-2-24222-400222-4-2-2-240000000000000000−i6i6−i6i6i6−i600i6−i6i6−i6−i6i6000000000000000000000000000
χ768-80888800-8-8-8-800000000000000000000000000000000000000000000000000000000000000000000000
χ778-808-4-4-400-844400000000000000002i6−2i62i6−2i62i6−2i60000000000000000000000000000000000000000000000000
χ788-808-4-4-400-84440000000000000000−2i62i6−2i62i6−2i62i60000000000000000000000000000000000000000000000000
χ798-80-48-4-4004-844000000000000002i6−2i6002i6−2i6−2i62i60000000000000000000000000000000000000000000000000
χ808-80-48-4-4004-84400000000000000−2i62i600−2i62i62i6−2i60000000000000000000000000000000000000000000000000
χ818-80-4-48-40044-84000000000000002i6−2i6−2i62i6002i6−2i60000000000000000000000000000000000000000000000000
χ828-80-4-48-40044-8400000000000000−2i62i62i6−2i600−2i62i60000000000000000000000000000000000000000000000000
χ838-80-4-4-4800444-8000000000000002i6−2i62i6−2i6−2i62i6000000000000000000000000000000000000000000000000000
χ848-80-4-4-4800444-800000000000000−2i62i6−2i62i62i6−2i6000000000000000000000000000000000000000000000000000

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