Finite Group Databasebeta

← Group #72343784

Character table — Group #72343784

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111226666812121212121212121616161624242424242424323232324848484848484848484848646464646464969696969696969696969696128128128128
order1222442244222224444228822222443666224444444881212242424244444444488886666
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111
χ31111111111111111111-1-1-1-111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ41111111111111111111-1-1-1-1111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-11111-1-1
χ51111111111-11111111111-1-1-1-1-111-1-11111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ61111111111-11111111111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1-111
χ71111111111-111111111-1-111-1-1-111-1-11111-1-11-1-111-1-111111111-1-111-1-11111-1-1-1-1-1-1
χ81111111111-111111111-1-111-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111-1-111-1-1-1111-1-1-1-1
χ9222222222222222222222222220022-1-1-1-100022000000-1-1-1-1-1-1000000000200-1-1-1-1
χ102222222222222222222-2-2-2-22220022-1-1-1-1000-2-2000000-1-11111000000000-200-1-111
χ112222222222-22222222222-2-2-2-2-200-2-2-1-1-1-100022000000-1-11111000000000-20011-1-1
χ122222222222-222222222-2-222-2-2-200-2-2-1-1-1-1000-2-2000000-1-1-1-1-1-10000000002001111
χ132222-2-222-2-20-222-22-2-2200000002200222200-2002-20000-2-20000002-2000000000000
χ142222-2-222-2-20-222-22-2-220000000-2-200222200200-220000-2-2000000-22000000000000
χ152-2-222-2-222-2022-2-2-22-222-20000000002-2-220002-2000000-220000000000000000002-2
χ162-2-222-2-222-2022-2-2-22-222-2000000000-111-10002-20000001-1−i3−i3i3i3000000000000−i3i3-11
χ172-2-222-2-222-2022-2-2-22-222-2000000000-111-10002-20000001-1i3i3−i3−i3000000000000i3−i3-11
χ182-2-222-2-222-2022-2-2-22-22-220000000002-2-22000-22000000-22000000000000000000-22
χ192-2-222-2-222-2022-2-2-22-22-22000000000-111-1000-220000001-1−i3−i3i3i3000000000000i3−i31-1
χ202-2-222-2-222-2022-2-2-22-22-22000000000-111-1000-220000001-1i3i3−i3−i3000000000000−i3i31-1
χ212-2-22-22-22-220-22-22-2-222000000000002-2-222-2000002-2002-2000000000000002-20000
χ222-2-22-22-22-220-22-22-2-222000000000002-2-22-2200000-22002-200000000000000-220000
χ2333333333333-1-1-1-1-1-1-1-133333-1-111-1-10000111-1-111111100000011-1-1-1-1-1-11-1-1-10000
χ2433333333333-1-1-1-1-1-1-1-133333-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1000000-1-1111111-1-1110000
χ2533333333333-1-1-1-1-1-1-1-1-3-3-3-33-1-111-1-10000-1-111111-1-1-1-100000011-1-1-1-111-11110000
χ2633333333333-1-1-1-1-1-1-1-1-3-3-3-33-1-1-1-1-1-1000011-111-1-11111000000-1-11111-1-111-1-10000
χ273333333333-3-1-1-1-1-1-1-1-133-3-3-31111110000111-1-11111-1-1000000-1-1-1-11111-11-1-10000
χ283333333333-3-1-1-1-1-1-1-1-133-3-3-311-1-1110000-1-1-1-1-1-1-1-1-1110000001111-1-1-1-111110000
χ293333333333-3-1-1-1-1-1-1-1-1-3-333-31111110000-1-111111-1-111000000-1-1-1-111-1-11-1110000
χ303333333333-3-1-1-1-1-1-1-1-1-3-333-311-1-111000011-111-1-111-1-10000001111-1-111-1-1-1-10000
χ314444-4-444-4-40-444-44-4-4400000000000-2-2-2-2000000000002200000000000000000000
χ324-4-44-44-44-440-44-44-4-44400000000000-222-200000000000-2200000000000000000000
χ33666666-2-2-2-262-2-222-2-220000-2-2-2002200002200000-2-2-2-20000000000000020000000
χ34666666-2-2-2-262-2-222-2-220000-2-2-200220000-2-200000222200000000000000-20000000
χ35666666-2-2-2-26-222-2-222-20000-22222-2-2000000200-2-200000000002-200000000000000
χ36666666-2-2-2-26-222-2-222-20000-222-2-2-2-2000000-200220000000000-2200000000000000
χ37666666-2-2-2-2-62-2-222-2-22000022200-2-200002200000-2-22200000000000000-20000000
χ38666666-2-2-2-2-62-2-222-2-22000022200-2-20000-2-20000022-2-20000000000000020000000
χ39666666-2-2-2-2-6-222-2-222-200002-2-22222000000200-2-20000000000-2200000000000000
χ40666666-2-2-2-2-6-222-2-222-200002-2-2-2-222000000-2002200000000002-200000000000000
χ416666-6-666-6-602-2-22-222-200000002200000000-2002-2000000000000-22000000000000
χ426666-6-666-6-602-2-22-222-20000000-2-200000000200-220000000000002-2000000000000
χ436666-6-6-2-22202222-2-2-2-2000004-42200000000-200-22000000000000002-20000000000
χ446666-6-6-2-22202222-2-2-2-2000004-4-2-2000000002002-200000000000000-220000000000
χ456666-6-6-2-22202222-2-2-2-200000-442200000000-200-2200000000000000-220000000000
χ466666-6-6-2-22202222-2-2-2-200000-44-2-2000000002002-2000000000000002-20000000000
χ476-6-666-6-666-60-2-2222-22-26-60000000000000000-220000000000000000000000000000
χ486-6-666-6-666-60-2-2222-22-2-6600000000000000002-20000000000000000000000000000
χ496-6-66-662-22-20-2-222-22-220000000004-400002-200000-22000000000000002-200000000
χ506-6-66-662-22-20-2-222-22-220000000004-40000-22000002-200000000000000-2200000000
χ516-6-66-662-22-20-2-222-22-22000000000-4400002-200000-2200000000000000-2200000000
χ526-6-66-662-22-20-2-222-22-22000000000-440000-22000002-2000000000000002-200000000
χ536-6-66-66-66-6602-22-222-2-20000000000000002-2000002-2000000000000000000-220000
χ546-6-66-66-66-6602-22-222-2-2000000000000000-2200000-220000000000000000002-20000
χ558-88-80000000000000000022−220004-40022-2-200000000022−22002−22−20000000000000000
χ568-88-80000000000000000022−22000-440022-2-2000000000−2222002−22−20000000000000000
χ578-88-800000000000000000−22220004-40022-2-2000000000−222200−22−220000000000000000
χ588-88-800000000000000000−2222000-440022-2-200000000022−2200−22−220000000000000000
χ5912121212-12-12-4-4440-4-4-4-44444000000000000000000000000000000000000000000000000
χ6012-12-121212-124-4-4404-44-4-4-444000000000000000000000000000000000000000000000000
χ6112-12-121212-124-4-440-44-4444-4-4000000000000000000000000000000000000000000000000
χ6212-12-1212-12124-44-4044-4-44-44-4000000000000000000000000000000000000000000000000
χ631616-16-16000000000000000000000000004-44-4000000000000000000000000000000000
χ641616-16-1600000000000000000000000000-22-220000000000000i6−i6−i6i60000000000000000
χ651616-16-1600000000000000000000000000-22-220000000000000−i6i6i6−i60000000000000000
χ6616-1616-160000000000000000042−420000000-2-2220000000000000−22−220000000000000000
χ6716-1616-1600000000000000000−42420000000-2-22200000000000002−22−20000000000000000

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