Finite Group Databasebeta

← Group #83705

Character table — Group #83705

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222444466121122244446612224448888121224224448888121224224448888121224
order123464121212882226464121212882441241241212128844412412412121288444124124121212884
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-1
χ411111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-11
χ5222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-111000
χ822-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i3000
χ922-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i3000
χ102-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20
χ112-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20
χ124-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ14111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111
χ1511111-11-1-111-111111-11-1-111-111111-11-1-111-1-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-11
χ1611111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-11-1-1-1-1-11-11111-1-1-1-1-1-11-11111-1
χ17222-220-200000222-220-200000222-220-200000-2-2-22-20200000-2-2-22-20200000
χ1822-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-2111000
χ1922-12-1-2-11100022-12-1-2-11100022-12-1-2-111000-2-21-2121-1-1000-2-21-2121-1-1000
χ2022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i3000-2-21210-1i3−i3000-2-21210-1i3−i3000
χ2122-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i3000-2-21210-1−i3i3000-2-21210-1−i3i3000
χ222-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20-22-2020000i2−i20-22-2020000i2−i20
χ232-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20-22-2020000−i2i20-22-2020000−i2i20
χ244-4-20200000004-4-20200000004-4-2020000000-4420-20000000-4420-20000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ2711111-11-1-111-111111-11-1-111-1-1-1-1-1-11-111-1-1111111-11-1-111-1-1-1-1-1-11-111-1-11
χ2811111-11-1-1-1-1111111-11-1-1-1-11-1-1-1-1-11-11111-111111-11-1-1-1-11-1-1-1-1-11-11111-1
χ29222-220-200000222-220-200000-2-2-22-20200000222-220-200000-2-2-22-20200000
χ3022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-211100022-12-12-1-1-1000-2-21-21-2111000
χ3122-12-1-2-11100022-12-1-2-111000-2-21-2121-1-100022-12-1-2-111000-2-21-2121-1-1000
χ3222-1-2-101−i3i300022-1-2-101−i3i3000-2-21210-1i3−i300022-1-2-101−i3i3000-2-21210-1i3−i3000
χ3322-1-2-101i3−i300022-1-2-101i3−i3000-2-21210-1−i3i300022-1-2-101i3−i3000-2-21210-1−i3i3000
χ342-220-20000−i2i202-220-20000−i2i20-22-2020000i2−i202-220-20000−i2i20-22-2020000i2−i20
χ352-220-20000i2−i202-220-20000i2−i20-22-2020000−i2i202-220-20000i2−i20-22-2020000−i2i20
χ364-4-20200000004-4-2020000000-4420-200000004-4-2020000000-4420-20000000
χ37111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ38111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ3911111-11-1-111-111111-11-1-111-1-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-1111111-11-1-111-1
χ4011111-11-1-1-1-1111111-11-1-1-1-11-1-1-1-1-11-11111-1-1-1-1-1-11-11111-111111-11-1-1-1-11
χ41222-220-200000222-220-200000-2-2-22-20200000-2-2-22-20200000222-220-200000
χ4222-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-211100022-12-12-1-1-1000
χ4322-12-1-2-11100022-12-1-2-111000-2-21-2121-1-1000-2-21-2121-1-100022-12-1-2-111000
χ4422-1-2-101−i3i300022-1-2-101−i3i3000-2-21210-1i3−i3000-2-21210-1i3−i300022-1-2-101−i3i3000
χ4522-1-2-101i3−i300022-1-2-101i3−i3000-2-21210-1−i3i3000-2-21210-1−i3i300022-1-2-101i3−i3000
χ462-220-20000−i2i202-220-20000−i2i20-22-2020000i2−i20-22-2020000i2−i202-220-20000−i2i20
χ472-220-20000i2−i202-220-20000i2−i20-22-2020000−i2i20-22-2020000−i2i202-220-20000i2−i20
χ484-4-20200000004-4-2020000000-4420-20000000-4420-200000004-4-2020000000
χ49222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ50222222222-2-2-2-2-2-2-2-2-2-2-2-2222000000000000000000000000000000000000
χ5122222-22-2-222-2-2-2-2-2-22-222-2-22000000000000000000000000000000000000
χ5222222-22-2-2-2-22-2-2-2-2-22-22222-2000000000000000000000000000000000000
χ53444-440-400000-4-4-44-40400000000000000000000000000000000000000000
χ5444-24-24-2-2-2000-4-42-42-4222000000000000000000000000000000000000000
χ5544-24-2-4-222000-4-42-4242-2-2000000000000000000000000000000000000000
χ5644-2-4-202−2i32i3000-4-42420-22i3−2i3000000000000000000000000000000000000000
χ5744-2-4-2022i3−2i3000-4-42420-2−2i32i3000000000000000000000000000000000000000
χ584-440-40000−2i22i20-44-40400002i2−2i20000000000000000000000000000000000000
χ594-440-400002i2−2i20-44-4040000−2i22i20000000000000000000000000000000000000
χ608-8-4040000000-8840-40000000000000000000000000000000000000000000

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