Finite Group Databasebeta

← Group #72275043

Character table — Group #72275043

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112233446881212121212121212121824242424242424242432323232363636363636484848484864646464727272969696969696144144
order12364422266244444446444461212121212366622244448121212366624412121212122448
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1111-11-11-1-1-1-1111111-1-11-1-1-1-1-11-11111-11-1-11111-1-1-1
χ3111111-1-11-1-11-1-111-1-1111-1-11111-1-111-1-111111-1-11-1-1-1111-1-1-1-11111-1-1-11-1
χ4111111-1-11-1-11-1-1-1-1111111-1-11-1-11111-1-111-1-1111-111-1-111-1-11-1-1-111-1-11-11
χ51111-1-1111111-1-1111111-11111111111111-1-1-1-1-1-1111111111-1-1-11-1-1-1-11-1-1
χ61111-1-1111111-1-1-1-1-1-111-1-11-11-1-1-1-111111-111-111-1-1-11-111111-11-1-1-1-1-1-111
χ71111-1-1-1-11-1-111111-1-111-1-1-11111-1-111-1-11-1-1-1-1111-1-1-1111-1-111-11-1-111-1-11
χ81111-1-1-1-11-1-1111-1-11111-11-1-11-1-11111-1-11-111-1-1-1-111-1-111-1-1-111-1-1-11111-1
χ9222222222222220000222020200002-1-1-1-120020000020-1-1-1-10200-1-1-1-1000
χ10222222-2-22-2-22-2-200002220-20200002-111-1200200000-20-1-1110-200-1-111000
χ112222-2-2222222-2-2000022-2020200002-1-1-1-1-200-20000020-1-1-1-10-2001111000
χ122222-2-2-2-22-2-2222000022-20-20200002-111-1-200-200000-20-1-111020011-1-1000
χ1322-1-100222-1-120022222-10222-1-1-1-1-1-1222200000022-1-1-1-1-1-1-1000-10000-100
χ1422-1-100222-1-1200-2-2-2-22-10-22-2-11111-12222000000-2-21-11-1-1-1-100010000100
χ1522-1-100-2-221120022-2-22-10-2-22-1-1-111-12-2-220000002-211-1-1-111000-10000100
χ1622-1-100-2-2211200-2-2222-102-2-2-111-1-1-12-2-22000000-22-111-1-11100010000-100
χ1733333333333-1331111-1331-11-11111-10000-111-111-1-11-1100001-11-10000-1-1-1
χ1833333333333-133-1-1-1-1-133-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-111-1-1-10000-1-1-110000111
χ19333333-3-33-3-3-1-3-311-1-1-133-111-111-1-1-10000-111-1-1-1-11-1110000-111-100001-11
χ20333333-3-33-3-3-1-3-3-1-111-13311-1-1-1-111-10000-1-1-1-1111-111-1000011-110000-11-1
χ213333-3-333333-1-3-31111-13-31-11-11111-100001-1-11-1-1-1-11-110000-11-1-10000-111
χ223333-3-333333-1-3-3-1-1-1-1-13-3-1-1-1-1-1-1-1-1-1000011111111-1-1-10000111100001-1-1
χ233333-3-3-3-33-3-3-13311-1-1-13-3-111-111-1-1-100001-1-1111-11-11100001-1-1-1000011-1
χ243333-3-3-3-33-3-3-133-1-111-13-311-1-1-1-111-100001111-1-11-111-10000-1-1110000-1-11
χ2544-2-200444-2-240000004-20040-20000-2-2-2-2-2000000000-20111100000000000
χ2644-2-200-4-442240000004-200-40-20000-2-222-20000000002011-1-100000000000
χ274-44-44i−4i2-202-202i−2i2i−2i2i−2i00000002i−2i2i−2i011-1-102-202-2000001-11-10000i−ii−i000
χ284-44-44i−4i2-202-202i−2i−2i2i−2i2i0000000−2i2i−2i2i011-1-10-220-22000001-11-10000i−ii−i000
χ294-44-44i−4i-220-220−2i2i2i−2i−2i2i00000002i−2i−2i2i01-11-102-20-22000001-1-110000i−i−ii000
χ304-44-44i−4i-220-220−2i2i−2i2i2i−2i0000000−2i2i2i−2i01-11-10-2202-2000001-1-110000i−i−ii000
χ314-44-4−4i4i2-202-20−2i2i2i−2i2i−2i00000002i−2i2i−2i011-1-10-220-22000001-11-10000−ii−ii000
χ324-44-4−4i4i2-202-20−2i2i−2i2i−2i2i0000000−2i2i−2i2i011-1-102-202-2000001-11-10000−ii−ii000
χ334-44-4−4i4i-220-2202i−2i2i−2i−2i2i00000002i−2i−2i2i01-11-10-2202-2000001-1-110000−iii−i000
χ344-44-4−4i4i-220-2202i−2i−2i2i2i−2i0000000−2i2i2i−2i01-11-102-20-22000001-1-110000−iii−i000
χ3566666600-2002002200-2-2-200-222200-20000-2222000000-2000000-200000000
χ3666666600-200200-2-200-2-2-20022-2-200-20000-2-2-220000002000000200000000
χ3766666600-200-20000222-2-2-200-2002220000200-22200-2000000-20000000000
χ3866666600-200-20000-2-22-2-2200-200-2-220000200-2-2-200200000020000000000
χ396666-6-600-2002002200-2-2200-222200-200002-2-2-2000000-2000000200000000
χ406666-6-600-200200-2-200-2-220022-2-200-20000222-20000002000000-200000000
χ416666-6-600-200-20000222-22-200-2002220000-2002-2-200-200000020000000000
χ426666-6-600-200-20000-2-22-22200-200-2-220000-200222002000000-20000000000
χ4366-3-300666-3-3-2002222-2-302-221-1-1-1-110000000000-2-2-11-1000000010000100
χ4466-3-300666-3-3-200-2-2-2-2-2-30-2-2-21111110000000000221110000000-10000-100
χ4566-3-300-6-6633-20022-2-2-2-30-2221-1-11110000000000-221-1-1000000010000-100
χ4666-3-300-6-6633-200-2-222-2-3022-2111-1-1100000000002-2-1-110000000-10000100
χ478-88-88i−8i4-404-404i−4i0000000000000000-1-11100000000000-11-110000−ii−ii000
χ488-88-88i−8i-440-440−4i4i0000000000000000-11-1100000000000-111-10000−iii−i000
χ498-88-8−8i8i4-404-40−4i4i0000000000000000-1-11100000000000-11-110000i−ii−i000
χ508-88-8−8i8i-440-4404i−4i0000000000000000-11-1100000000000-111-10000i−i−ii000
χ518-8-44004-40-220004i−4i4i−4i0000000−2i2i−2i2i022-2-200000000000-11-1100000000000
χ528-8-44004-40-22000−4i4i−4i4i00000002i−2i2i−2i022-2-200000000000-11-1100000000000
χ538-8-4400-4402-20004i−4i−4i4i0000000−2i2i2i−2i02-22-200000000000-111-100000000000
χ548-8-4400-4402-2000−4i4i4i−4i00000002i−2i−2i2i02-22-200000000000-111-100000000000
χ551212-6-60000-4004004400-42000-4-2-2-2002000000000000002000000000000000
χ561212-6-60000-400400-4-400-420004-22200200000000000000-2000000000000000
χ571212-6-60000-400-4000044420-400200-2-2-2000000000000200000000000000000
χ581212-6-60000-400-40000-4-442040020022-2000000000000-200000000000000000
χ5916-16-88008-80-440000000000000000000-2-222000000000001-11-100000000000
χ6016-16-8800-8804-40000000000000000000-22-22000000000001-1-1100000000000

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