Finite Group Databasebeta

← Group #11722491

Character table — Group #11722491

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222222226666666699991212121212121212121212121818181818181818181818181818181818183636363636363636
order12442346661212121233661212121222443666661212121212122222244444666612121212666612121212
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111-1-1-1-1111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111-11-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-1-11-11-1-11-11-111-1-111-1-11-11-11-11-1
χ61111-11-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-1-1-11-11-1-11-1111-1-111-1-1-11-11-11-11
χ71111-11-1-1-1111-1-111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-1111-1-11-1-111-1-1111-1-111-1-11
χ81111-11-1-1-1111-1-111111111-1-1-1-11-1-1-1-11-1-111-1-11-111-11-111-1-1-111-1-111-111-1-111-1
χ911-1-111-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-11-1-1-11-111111-1-1-1-11-11-1-11-11
χ1011-1-111-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-11-11-11-11-11111-1-1-1-1-11-111-11-1
χ1111-1-111-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-111111-1-11-111-1
χ1211-1-111-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-11-1-1-1-11111-111-11-1-11
χ1311-1-1-111-1-11-1-1111111-1-1-1-111-1-11-1-1-1-1111-1-111-111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ1411-1-1-111-1-11-1-1111111-1-1-1-111-1-11-1-1-1-1111-1-111-1-1-1-1-11111111-1-1-1-111-1-1-1-11111
χ1511-1-1-111-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-111111-1-1-1-1-111-1-11111-1-111-1-1-1-111
χ1611-1-1-111-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-111-111-1-1-1-11111-1-1-1-11111-1-1
χ17222222222222222-12-122-1-10000-12-1-1-1-12-1-1-1-1-100022000220000000000-1-100-1-1
χ18222222222222222-12-122-1-10000-12-1-1-1-12-1-1-1-1-1000-2-2000-2-20000000000110011
χ1922222222222222-12-12-1-1220000-1-12-1-1-1-12-1-1-1-1022000220000000000-1-100-1-100
χ2022222222222222-12-12-1-1220000-1-12-1-1-1-12-1-1-1-10-2-2000-2-2000000000011001100
χ212222-22-2-2-2222-2-22-12-122-1-10000-1-2111-1-21-1-1110002-20002-20000000000-1100-11
χ222222-22-2-2-2222-2-22-12-122-1-10000-1-2111-1-21-1-111000-22000-2200000000001-1001-1
χ232222-22-2-2-2222-2-2-12-12-1-1220000-11-211-11-2-1-11102-20002-20000000000-1100-1100
χ242222-22-2-2-2222-2-2-12-12-1-1220000-11-211-11-2-1-1110-22000-2200000000001-1001-100
χ2522-2-222-2222-2-2-2-22-12-1-2-2110000-12-1-1-1-1-2111110002-2000-220000000000-11001-1
χ2622-2-222-2222-2-2-2-22-12-1-2-2110000-12-1-1-1-1-211111000-220002-200000000001-100-11
χ2722-2-222-2222-2-2-2-2-12-1211-2-20000-1-12-1-1-11-2111102-2000-220000000000-11001-100
χ2822-2-222-2222-2-2-2-2-12-1211-2-20000-1-12-1-1-11-211110-220002-200000000001-100-1100
χ2922-2-2-222-2-22-2-2222-12-1-2-2110000-1-2111-12-111-1-100022000-2-20000000000-1-10011
χ3022-2-2-222-2-22-2-2222-12-1-2-2110000-1-2111-12-111-1-1000-2-20002200000000001100-1-1
χ3122-2-2-222-2-22-2-222-12-1211-2-20000-11-211-1-1211-1-1022000-2-20000000000-1-1001100
χ3222-2-2-222-2-22-2-222-12-1211-2-20000-11-211-1-1211-1-10-2-20002200000000001100-1-100
χ332-22i−2i02000-22i−2i0022-2-22i−2i2i−2i2-22i−2i20000-2002i−2i0000000000002-2002i−2i0000000000
χ342-22i−2i02000-22i−2i0022-2-22i−2i2i−2i-22−2i2i20000-2002i−2i000000000000-2200−2i2i0000000000
χ352-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i2-2−2i2i20000-200−2i2i0000000000002-200−2i2i0000000000
χ362-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i-222i−2i20000-200−2i2i000000000000-22002i−2i0000000000
χ3744444444444444-2-2-2-2-2-2-2-200001-2-2111-2-2111100000000000000000000000000
χ384444-44-4-4-4444-4-4-2-2-2-2-2-2-2-20000122-1-112211-1-100000000000000000000000000
χ3944-4-444-4444-4-4-4-4-2-2-2-2222200001-2-211122-1-1-1-100000000000000000000000000
χ4044-4-4-444-4-44-4-444-2-2-2-222220000122-1-11-2-2-1-11100000000000000000000000000
χ414-44i−4i04000-44i−4i004-2-424i−4i−2i2i0000-20000200−2i2i0000000000000000000000000000
χ424-44i−4i04000-44i−4i00-242-4−2i2i4i−4i0000-20000200−2i2i0000000000000000000000000000
χ434-44i−4i04000-44i−4i00-2-222−2i2i−2i2i00001003-3-100i−i3i−3i00000000000000000000000000
χ444-44i−4i04000-44i−4i00-2-222−2i2i−2i2i0000100-33-100i−i−3i3i00000000000000000000000000
χ454-4−4i4i04000-4−4i4i004-2-42−4i4i2i−2i0000-200002002i−2i0000000000000000000000000000
χ464-4−4i4i04000-4−4i4i00-242-42i−2i−4i4i0000-200002002i−2i0000000000000000000000000000
χ474-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i00001003-3-100−ii−3i3i00000000000000000000000000
χ484-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i0000100-33-100−ii3i−3i00000000000000000000000000
χ4966666-36-3-3-3-3-3-3-30000000022220000000000002000020000-1-1-1-1-1-1-1-100000000
χ5066666-36-3-3-3-3-3-3-300000000-2-2-2-2000000000000-20000-200001111111100000000
χ516666-6-3-633-3-3-333000000002222000000000000-20000-20000-1-111-1-11100000000
χ526666-6-3-633-3-3-33300000000-2-2-2-2000000000000200002000011-1-111-1-100000000
χ5366-6-66-3-6-3-3-333330000000022-2-200000000000020000-20000-1-1-1-1111100000000
χ5466-6-66-3-6-3-3-3333300000000-2-222000000000000-20000200001111-1-1-1-100000000
χ5566-6-6-6-3633-333-3-30000000022-2-2000000000000-2000020000-1-11111-1-100000000
χ5666-6-6-6-3633-333-3-300000000-2-22200000000000020000-2000011-1-1-1-11100000000
χ576-66i−6i0-30−3i33i33−3i3i33−33000000002-22i−2i0000000000000000000000-11−i3i3−ii3−300000000
χ586-66i−6i0-30−3i33i33−3i3i33−3300000000-22−2i2i00000000000000000000001-1i3−i3i−i−3300000000
χ596-66i−6i0-303i3−3i33−3i3i−3333000000002-22i−2i0000000000000000000000-11i3−i3−ii−3300000000
χ606-66i−6i0-303i3−3i33−3i3i−333300000000-22−2i2i00000000000000000000001-1−i3i3i−i3−300000000
χ616-6−6i6i0-30−3i33i333i−3i−3333000000002-2−2i2i0000000000000000000000-11−i3i3i−i−3300000000
χ626-6−6i6i0-30−3i33i333i−3i−333300000000-222i−2i00000000000000000000001-1i3−i3−ii3−300000000
χ636-6−6i6i0-303i3−3i333i−3i33−33000000002-2−2i2i0000000000000000000000-11i3−i3i−i3−300000000
χ646-6−6i6i0-303i3−3i333i−3i33−3300000000-222i−2i00000000000000000000001-1−i3i3−ii−3300000000

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