Finite Group Databasebeta

← Group #11799994

Character table — Group #11799994

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222244444444444448888888888888881212121212121616161616162424242424242424242424242424244848487272144
order1223344661212366688121212121224246881224242424242424242424242466121224242424242488816162424242424244848484826616164
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-111-1
χ61111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111-1-11
χ71111111111111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11
χ81111111111111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1
χ9222222222222222-2-222222-2-220020000-2-2-2-2-2-2-2222222000000-200000000-2-20000000000
χ10222222222222222-2-222222-2-220020000-2-2-2-2-2-2-2-2-2-2-2-2-2000000200000000220000000000
χ1122222-2-222-2-2222200-2-2-2-2-200200-2000000000002-222-2-2000000000−i2i2000000−i2−i2i2i2000−i2i20
χ1222222-2-222-2-2222200-2-2-2-2-200200-2000000000002-222-2-2000000000i2−i2000000i2i2−i2−i2000i2−i20
χ1322222-2-222-2-2222200-2-2-2-2-200200-200000000000-22-2-222000000000−i2i2000000−i2−i2i2i2000i2−i20
χ1422222-2-222-2-2222200-2-2-2-2-200200-200000000000-22-2-222000000000i2−i2000000i2i2−i2−i2000−i2i20
χ152222-122-1222-12-1-122-1-1-1-12-1-1-122-12222-122-1-1-1-1000000-1-1-1-1-1-100022000000-1-1-1-12-1-1000
χ162222-122-1222-12-1-122-1-1-1-12-1-1-122-12222-122-1-1-1-1000000-1-1-1-1-1-1000-2-20000001111-211000
χ172222-122-1222-12-1-122-1-1-1-12-1-1-1-2-2-1-2-2-2-2-122-1-1-1-100000011111100022000000-1-1-1-1-211000
χ182222-122-1222-12-1-122-1-1-1-12-1-1-1-2-2-1-2-2-2-2-122-1-1-1-1000000111111000-2-200000011112-1-1000
χ19222-12222-1-1-1-1-12-12222-1-1-122-122-1-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000
χ20222-12222-1-1-1-1-12-12222-1-1-122-122-1-1-1-1-12-1-1-1-1-1-1-2-2111122-1-1-1-1-2-2-2001111110000000000
χ21222-12222-1-1-1-1-12-12222-1-1-122-1-2-2-111112-1-1-1-1-1-122-1-1-1-1-2-211112-2-2001111-1-10000000000
χ22222-12222-1-1-1-1-12-12222-1-1-122-1-2-2-111112-1-1-1-1-1-1-2-21111-2-21111-22200-1-1-1-1110000000000
χ23222-12222-1-1-1-1-12-1-2-222-1-1-1-2-2-100-1−i3−i3i3i3-211111122-1-1-1-100−i3−i3i3i3-20000−i3−i3i3i3110000000000
χ24222-12222-1-1-1-1-12-1-2-222-1-1-1-2-2-100-1−i3−i3i3i3-2111111-2-2111100−i3−i3i3i320000i3i3−i3−i3-1-10000000000
χ25222-12222-1-1-1-1-12-1-2-222-1-1-1-2-2-100-1i3i3−i3−i3-211111122-1-1-1-100i3i3−i3−i3-20000i3i3−i3−i3110000000000
χ26222-12222-1-1-1-1-12-1-2-222-1-1-1-2-2-100-1i3i3−i3−i3-2111111-2-2111100i3i3−i3−i320000−i3−i3i3i3-1-10000000000
χ2722-2222-222-2-22-2-222-22-2-2-2222-20020000-22-222-2-200000000000002i−2i002i−2i2i−2i000000000000
χ2822-2222-222-2-22-2-222-22-2-2-2222-20020000-22-222-2-20000000000000−2i2i00−2i2i−2i2i000000000000
χ2922-2222-222-2-22-2-22-222-2-2-22-2-2-22i−2i22i−2i2i−2i2-22-2-2220000002i−2i2i−2i2i−2i000000000000000000000
χ3022-2222-222-2-22-2-22-222-2-2-22-2-2-2−2i2i2−2i2i−2i2i2-22-2-222000000−2i2i−2i2i−2i2i000000000000000000000
χ3122-22-12-2-12-2-2-1-21-1-22-111121112i−2i-12i−2i2i−2i-1-2211-1-1000000−ii−ii−ii000000000003−33−30−i3i3000
χ3222-22-12-2-12-2-2-1-21-1-22-111121112i−2i-12i−2i2i−2i-1-2211-1-1000000−ii−ii−ii00000000000−33−330i3−i3000
χ3322-22-12-2-12-2-2-1-21-1-22-11112111−2i2i-1−2i2i−2i2i-1-2211-1-1000000i−ii−ii−i000000000003−33−30i3−i3000
χ3422-22-12-2-12-2-2-1-21-1-22-11112111−2i2i-1−2i2i−2i2i-1-2211-1-1000000i−ii−ii−i00000000000−33−330−i3i3000
χ3522-2-122-22-111-11-2-12-22-211-122100-13−3−33-2-11-1-11100−i3i3−i3i3003−3−3302i−2i00−ii−ii−i3i30000000000
χ3622-2-122-22-111-11-2-12-22-211-122100-13−3−33-2-11-1-11100i3−i3i3−i3003−3−330−2i2i00i−ii−ii3−i30000000000
χ3722-2-122-22-111-11-2-12-22-211-122100-1−333−3-2-11-1-11100−i3i3−i3i300−333−30−2i2i00i−ii−i−i3i30000000000
χ3822-2-122-22-111-11-2-12-22-211-122100-1−333−3-2-11-1-11100i3−i3i3−i300−333−302i−2i00−ii−iii3−i30000000000
χ3922-2-122-22-111-11-2-1-222-211-1-2-212i−2i-1−ii−ii21-111-1-100−i3i3−i3i32i−2i−ii−ii000003−3−33i3−i30000000000
χ4022-2-122-22-111-11-2-1-222-211-1-2-212i−2i-1−ii−ii21-111-1-100i3−i3i3−i32i−2i−ii−ii00000−333−3−i3i30000000000
χ4122-2-122-22-111-11-2-1-222-211-1-2-21−2i2i-1i−ii−i21-111-1-100−i3i3−i3i3−2i2ii−ii−i00000−333−3i3−i30000000000
χ4222-2-122-22-111-11-2-1-222-211-1-2-21−2i2i-1i−ii−i21-111-1-100i3−i3i3−i3−2i2ii−ii−i000003−3−33−i3i30000000000
χ434444-244-2444-24-2-2-4-4-2-2-2-2422-200-200002-4-42222000000000000000000000000000000000
χ444444-2-4-4-24-4-4-24-2-2002222-400-200200000000000000000000000000−2i22i2000000i2i2−i2−i2000000
χ454444-2-4-4-24-4-4-24-2-2002222-400-2002000000000000000000000000002i2−2i2000000−i2−i2i2i2000000
χ46444-24-4-44-222-2-24-200-4-422200-2002000000000004-4-2-222000000000000000000000000000
χ47444-24-4-44-222-2-24-200-4-422200-200200000000000-4422-2-2000000000000000000000000000
χ48444-2-244-2-2-2-21-2-2144-2-211-2-2-21441-2-2-2-2-2-2-21111000000-2-21111000000000000000000000
χ49444-2-244-2-2-2-21-2-2144-2-211-2-2-21-4-412222-2-2-2111100000022-1-1-1-1000000000000000000000
χ50444-2-244-2-2-2-21-2-21-4-4-2-211-2221001−2i3−2i32i32i3222-1-1-1-100000000i3i3−i3−i3000000000000000000000
χ51444-2-244-2-2-2-21-2-21-4-4-2-211-22210012i32i3−2i3−2i3222-1-1-1-100000000−i3−i3i3i3000000000000000000000
χ5244-444-4444444-4-4400-4444-400-400-400000000000000000000000000000000000000000000
χ5344-44-24-4-24-4-4-2-42-24-4-22224-2-2200-2000024-4-2-222000000000000000000000000000000000
χ5444-44-2-44-2444-2-42-2002-2-2-2-40020020000000000000000000000000000000000i6−i6−i6i6000000
χ5544-44-2-44-2444-2-42-2002-2-2-2-40020020000000000000000000000000000000000−i6i6i6−i6000000
χ5644-4-24-444-2-2-2-22-4-200-44-2-220020020000000000000−2i32i32i3−2i3000000000000000000000000000
χ5744-4-24-444-2-2-2-22-4-200-44-2-2200200200000000000002i3−2i3−2i32i3000000000000000000000000000
χ5844-4-2-24-4-2-22212214-4-22-1-1-2-2-2-100123−23−23232-2211-1-100000000−333−3000000000000000000000
χ5944-4-2-24-4-2-22212214-4-22-1-1-2-2-2-1001−232323−232-2211-1-1000000003−3−33000000000000000000000
χ6044-4-2-24-4-2-2221221-44-22-1-1-222-14i−4i1−2i2i−2i2i-22-2-1-111000000−2i2ii−ii−i000000000000000000000
χ6144-4-2-24-4-2-2221221-44-22-1-1-222-1−4i4i12i−2i2i−2i-22-2-1-1110000002i−2i−ii−ii000000000000000000000
χ62888-4-4-8-8-4-4442-4-420044-2-2400200-200000000000000000000000000000000000000000000
χ6388-8-4-4-88-4-4-4-42442004-422400-200-200000000000000000000000000000000000000000000
χ648-808800-8-800800-8000000000000000000000000000000000000000000000000000000000
χ658-808-4004-800-400400000002i6−2i6000000000002i6−2i600000000000000000000000000000000000
χ668-808-4004-800-40040000000−2i62i600000000000−2i62i600000000000000000000000000000000000
χ678-80-4800-8443−43-4004000043−43000000000000000000000000000000000000000000000000000
χ688-80-4800-84−4343-40040000−4343000000000000000000000000000000000000000000000000000
χ698-80-4-4004443−43200-20000−232302i6−2i600000000000−i6i6−3i23i2000000000000000000000000000000000
χ708-80-4-4004443−43200-20000−23230−2i62i600000000000i6−i63i2−3i2000000000000000000000000000000000
χ718-80-4-40044−4343200-2000023−2302i6−2i600000000000−i6i63i2−3i2000000000000000000000000000000000
χ728-80-4-40044−4343200-2000023−230−2i62i600000000000i6−i6−3i23i2000000000000000000000000000000000

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