Finite Group Databasebeta

← Group #5017

Character table — Group #5017

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244446612112224444661211222444466121122244446612
order123462661288444124124121212884226462661288444124124121212884
χ1111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1
χ411111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11
χ5222-22000-2000222-22000-2000222-22000-2000222-22000-2000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000
χ822-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000
χ922-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000
χ102-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20
χ112-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20
χ124-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111iiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i
χ14111111111-1-1-1iiiiiiiii−i−i−i-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−i−iiii
χ1511111-1-1-1111-1iiiii−i−i−iiii−i-1-1-1-1-1111-1-1-11−i−i−i−i−iiii−i−i−ii
χ1611111-1-1-11-1-11iiiii−i−i−ii−i−ii-1-1-1-1-1111-111-1−i−i−i−i−iiii−iii−i
χ17222-22000-20002i2i2i−2i2i000−2i000-2-2-22-20002000−2i−2i−2i2i−2i0002i000
χ1822-12-12-1-1-10002i2i−i2i−i2i−i−i−i000-2-21-21-2111000−2i−2ii−2ii−2iiii000
χ1922-12-1-211-10002i2i−i2i−i−2iii−i000-2-21-212-1-11000−2i−2ii−2ii2i−i−ii000
χ2022-1-2-10−i3i310002i2i−i−2i−i03−3i000-2-21210i3−i3-1000−2i−2ii2ii0−33−i000
χ2122-1-2-10i3−i310002i2i−i−2i−i0−33i000-2-21210−i3i3-1000−2i−2ii2ii03−3−i000
χ222-220-20000−i2i202i−2i2i0−2i00002−20-22-2020000i2−i20−2i2i−2i02i0000−220
χ232-220-20000i2−i202i−2i2i0−2i0000−220-22-2020000−i2i20−2i2i−2i02i00002−20
χ244-4-20200000004i−4i−2i02i0000000-4420-20000000−4i4i2i0−2i0000000
χ25111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ2711111-1-1-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-11
χ2811111-1-1-11-1-11-1-1-1-1-1111-111-111111-1-1-11-1-11-1-1-1-1-1111-111-1
χ29222-22000-2000-2-2-22-20002000222-22000-2000-2-2-22-20002000
χ3022-12-12-1-1-1000-2-21-21-211100022-12-12-1-1-1000-2-21-21-2111000
χ3122-12-1-211-1000-2-21-212-1-1100022-12-1-211-1000-2-21-212-1-11000
χ3222-1-2-10−i3i31000-2-21210i3−i3-100022-1-2-10−i3i31000-2-21210i3−i3-1000
χ3322-1-2-10i3−i31000-2-21210−i3i3-100022-1-2-10i3−i31000-2-21210−i3i3-1000
χ342-220-20000−i2i20-22-2020000i2−i202-220-20000−i2i20-22-2020000i2−i20
χ352-220-20000i2−i20-22-2020000−i2i202-220-20000i2−i20-22-2020000−i2i20
χ364-4-2020000000-4420-200000004-4-2020000000-4420-20000000
χ37111111111111−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii
χ38111111111-1-1-1−i−i−i−i−i−i−i−i−iiii-1-1-1-1-1-1-1-1-1111iiiiiiiii−i−i−i
χ3911111-1-1-1111-1−i−i−i−i−iiii−i−i−ii-1-1-1-1-1111-1-1-11iiiii−i−i−iiii−i
χ4011111-1-1-11-1-11−i−i−i−i−iiii−iii−i-1-1-1-1-1111-111-1iiiii−i−i−ii−i−ii
χ41222-22000-2000−2i−2i−2i2i−2i0002i000-2-2-22-200020002i2i2i−2i2i000−2i000
χ4222-12-12-1-1-1000−2i−2ii−2ii−2iiii000-2-21-21-21110002i2i−i2i−i2i−i−i−i000
χ4322-12-1-211-1000−2i−2ii−2ii2i−i−ii000-2-21-212-1-110002i2i−i2i−i−2iii−i000
χ4422-1-2-10−i3i31000−2i−2ii2ii0−33−i000-2-21210i3−i3-10002i2i−i−2i−i03−3i000
χ4522-1-2-10i3−i31000−2i−2ii2ii03−3−i000-2-21210−i3i3-10002i2i−i−2i−i0−33i000
χ462-220-20000−i2i20−2i2i−2i02i0000−220-22-2020000i2−i202i−2i2i0−2i00002−20
χ472-220-20000i2−i20−2i2i−2i02i00002−20-22-2020000−i2i202i−2i2i0−2i0000−220
χ484-4-2020000000−4i4i2i0−2i0000000-4420-200000004i−4i−2i02i0000000

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