Finite Group Databasebeta

← Group #11800020

Character table — Group #11800020

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222224444444444444888888888121216161616161616161624242424242424242424242424484848484872727272
order12233446666366668812121212242412122424242424242424412121212121212126888121616242448484848412122424881616
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1-111
χ5111111111111111111111111111111111-1-1111111111-1-111-111-1-11111-1-1-111-1-1-1-1
χ6111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1
χ92222222222222222-2-22222-2-222-2-2-2-2-2-2-2220000000002-200200-2-20000000000000
χ102222222222222222-2-22222-2-222-2-2-2-2-2-2-2-2-2000000000-2200-200220000000000000
χ1122222-2-222222222200-2-2-2-200-2-200000002-20000000002000-2−i2i200−i2−i2i2i20000000−i2i2
χ1222222-2-222222222200-2-2-2-200-2-200000002-20000000002000-2i2−i200i2i2−i2−i20000000i2−i2
χ1322222-2-222222222200-2-2-2-200-2-20000000-22000000000-20002−i2i200−i2−i2i2i20000000i2−i2
χ1422222-2-222222222200-2-2-2-200-2-20000000-22000000000-20002i2−i200i2i2−i2−i20000000−i2i2
χ152222-1222-1-1-1-12-1-1-122-12-1222-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-1200-100-1-100002-1-1000000
χ162222-1222-1-1-1-12-1-1-122-12-1222-1-12-1-1-1-1-1-122-2-2-2111111-1200-100-1-10000-211000000
χ172222-1222-1-1-1-12-1-1-122-12-1222-1-12-1-1-1-1-1-1-2-2222-1-1-1-1-1-11-200100110000-211000000
χ182222-1222-1-1-1-12-1-1-122-12-1222-1-12-1-1-1-1-1-1-2-2-2-2-21111111-2001001100002-1-1000000
χ192222-1222-1-1-1-12-1-1-1-2-2-12-12-2-2-1-1-211111122000−i3i3−i3−i3i3i3-1-200-1001100000−i3i3000000
χ202222-1222-1-1-1-12-1-1-1-2-2-12-12-2-2-1-1-211111122000i3−i3i3i3−i3−i3-1-200-1001100000i3−i3000000
χ212222-1222-1-1-1-12-1-1-1-2-2-12-12-2-2-1-1-2111111-2-2000−i3i3−i3−i3i3i31200100-1-100000i3−i3000000
χ222222-1222-1-1-1-12-1-1-1-2-2-12-12-2-2-1-1-2111111-2-2000i3−i3i3i3−i3−i31200100-1-100000−i3i3000000
χ23222-1222-1222-1-1-1-1-1222-12-1-1-1-1-1-122-1-1-1-1002-1-122-1-1-1-1002202200-1-1-1-1000-1-10000
χ24222-1222-1222-1-1-1-1-1222-12-1-1-1-1-1-122-1-1-1-1002-1-122-1-1-1-100-2-20-2-2001111000110000
χ25222-1222-1222-1-1-1-1-1222-12-1-1-1-1-1-122-1-1-1-100-211-2-2111100220-2-2001111000-1-10000
χ26222-1222-1222-1-1-1-1-1222-12-1-1-1-1-1-122-1-1-1-100-211-2-2111100-2-202200-1-1-1-1000110000
χ2722-2222-22-2-222-2-2-222-2-222-222-22-22-222-2-2000000000000000000000000000002i−2i00
χ2822-2222-22-2-222-2-2-222-2-222-222-22-22-222-2-200000000000000000000000000000−2i2i00
χ2922-2222-22-2-222-2-2-22-22-222-2-2-2-222-22-2-22200000000000002i−2i0000000000002i−2i0000
χ3022-2222-22-2-222-2-2-22-22-222-2-2-2-222-22-2-2220000000000000−2i2i000000000000−2i2i0000
χ3122-2-122-2-1-2-22-1111-1-22-2-121111-1-1-2211-1-1000−i3i300−i3i3−i3i3002i−2i000003−33−3000−ii0000
χ3222-2-122-2-1-2-22-1111-1-22-2-121111-1-1-2211-1-1000−i3i300−i3i3−i3i300−2i2i00000−33−33000i−i0000
χ3322-2-122-2-1-2-22-1111-1-22-2-121111-1-1-2211-1-1000i3−i300i3−i3i3−i3002i−2i00000−33−33000−ii0000
χ3422-2-122-2-1-2-22-1111-1-22-2-121111-1-1-2211-1-1000i3−i300i3−i3i3−i300−2i2i000003−33−3000i−i0000
χ354444-2-4-44-2-2-2-24-2-2-2002-42-4002200000004-4000000000-2000200000000000000000
χ364444-2-4-44-2-2-2-24-2-2-2002-42-400220000000-440000000002000-200000000000000000
χ37444-2444-2444-2-2-2-2-2-4-44-24-222-2-22-4-42222000000000000000000000000000000000
χ38444-24-4-4-2444-2-2-2-2-200-42-42002200000000000000000000000−2i22i200i2i2−i2−i2000000000
χ39444-24-4-4-2444-2-2-2-2-200-42-420022000000000000000000000002i2−2i200−i2−i2i2i2000000000
χ40444-2-244-2-2-2-21-211144-2-2-2-2-2-211-2-2-21111004-2-2-2-211110000000000000000000000
χ41444-2-244-2-2-2-21-211144-2-2-2-2-2-211-2-2-2111100-42222-1-1-1-10000000000000000000000
χ42444-2-244-2-2-2-21-2111-4-4-2-2-2-22211222-1-1-1-100000−2i32i3i3i3−i3−i30000000000000000000000
χ43444-2-244-2-2-2-21-2111-4-4-2-2-2-22211222-1-1-1-1000002i3−2i3−i3−i3i3i30000000000000000000000
χ4444-444-444-4-444-4-4-44004-4-44004-40000000000000000000000000000000000000000
χ4544-44-24-4422-2-2-422-24-424-2-4442-2-4-22-2-222000000000000000000000000000000000
χ4644-44-24-4422-2-2-422-2-4424-2-4-4-42-242-222-2-2000000000000000000000000000000000
χ4744-44-2-44422-2-2-422-200-2-42400-22000000000000000000000000023−230000000000000
χ4844-44-2-44422-2-2-422-200-2-42400-220000000000000000000000000−23230000000000000
χ4944-4-244-4-2-4-44-2222-24-4-4-242-2-22-224-4-2-222000000000000000000000000000000000
χ5044-4-24-44-2-4-44-2222-20042-4-200-22000000000000000000000000000i6−i6−i6i6000000000
χ5144-4-24-44-2-4-44-2222-20042-4-200-22000000000000000000000000000−i6i6i6−i6000000000
χ5244-4-2-24-4-222-212-1-114-42-2-22-2-2-112-2211-1-100000003-3-330000000000000000000000
χ5344-4-2-24-4-222-212-1-114-42-2-22-2-2-112-2211-1-10000000-333-30000000000000000000000
χ5444-4-2-24-4-222-212-1-11-442-2-2222-11-22-2-1-111000−2i32i300i3−i3i3−i30000000000000000000000
χ5544-4-2-24-4-222-212-1-11-442-2-2222-11-22-2-1-1110002i3−2i300−i3i3−i3i30000000000000000000000
χ56888-4-4-8-8-4-4-4-42-422200444400-2-20000000000000000000000000000000000000000
χ5788-8-4-4-88-444-424-2-2200-444-4002-20000000000000000000000000000000000000000
χ588-808800-800-88000-800000000000000000000000000000000000000000000000000
χ598-808-400-8−4i34i34-40−4i34i3400000000000000000000000000000000000000000000000000
χ608-808-400-84i3−4i34-404i3−4i3400000000000000000000000000000000000000000000000000
χ618-80-4800400-8-400040000002i6−2i6000002i6−2i600000000000000000000000000000000000
χ628-80-4800400-8-40004000000−2i62i600000−2i62i600000000000000000000000000000000000
χ638-80-4-4004−4i34i34202i3−2i3-20000002i6−2i600000−i6i632−32000000000000000000000000000000000
χ648-80-4-4004−4i34i34202i3−2i3-2000000−2i62i600000i6−i6−3232000000000000000000000000000000000
χ658-80-4-40044i3−4i3420−2i32i3-20000002i6−2i600000−i6i6−3232000000000000000000000000000000000
χ668-80-4-40044i3−4i3420−2i32i3-2000000−2i62i600000i6−i632−32000000000000000000000000000000000

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