Finite Group Databasebeta

← Group #72236914

Character table — Group #72236914

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1124446681212121212162424242424242424323232324848484848484864646464646496969696
order1242222442224422444888836664444488666612124488
χ111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-11111-1-11-1-1-1-1111111-1-1-1-1
χ311111-1111-11111-1-1-11111111111-1-1-1-1-111-1-1-1-1111-11-1
χ411111-1111-11111-1-1-111-1-1-1-1111111-111-1-1-1-1-1-111-11-11
χ5111-1-1111-111111-111-1-111-1-11-1-111-1-11-1-1111-1-11-1-111-1
χ6111-1-1111-111111-111-1-1-1-1111-1-11-11-1-111-111-1-11-11-1-11
χ7111-1-1-111-1-111111-1-1-1-111-1-11-1-11-111-11-11-1-1111-1-1-111
χ8111-1-1-111-1-111111-1-1-1-1-1-1111-1-111-111-11-1-1-1111-111-1-1
χ922222222222222222220000-1-1-1-10020000-1-1-1-1-1-10000
χ1022222-2222-22222-2-2-2220000-1-1-1-100-200001111-1-10000
χ11222-2-2222-222222-222-2-20000-111-100-20000-1-111-110000
χ12222-2-2-222-2-222222-2-2-2-20000-111-1002000011-1-1-110000
χ1322-22202-2-202-22-20002-20000222200000000000-2-20000
χ1422-22202-2-202-22-20002-20000-1-1-1-10000000−i3i3−i3i3110000
χ1522-22202-2-202-22-20002-20000-1-1-1-10000000i3−i3i3−i3110000
χ1622-2-2-202-2202-22-2000-2200002-2-2200000000000-220000
χ1722-2-2-202-2202-22-2000-220000-111-10000000−i3i3i3−i31-10000
χ1822-2-2-202-2202-22-2000-220000-111-10000000i3−i3−i3i31-10000
χ193333333333-1-1-1-13-1-1-1-11111000011-11111000000-1-1-1-1
χ203333333333-1-1-1-13-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-10000001111
χ2133333-3333-3-1-1-1-1-311-1-111110000-1-11-1-111000000-11-11
χ2233333-3333-3-1-1-1-1-311-1-1-1-1-1-1000011111-1-10000001-11-1
χ23333-3-3333-33-1-1-1-1-3-1-11111-1-100001-111-1-110000001-1-11
χ24333-3-3333-33-1-1-1-1-3-1-111-1-1110000-111-111-1000000-111-1
χ25333-3-3-333-3-3-1-1-1-13111111-1-10000-11-1-11-1100000011-1-1
χ26333-3-3-333-3-3-1-1-1-131111-1-11100001-1-11-11-1000000-1-111
χ27666006-2-20-22-2-2202-20022000000200-200-20000000000
χ28666006-2-20-22-2-2202-200-2-2000000-20020020000000000
χ29666006-2-20-2-222-20-2200002200000-2002-200000000000
χ30666006-2-20-2-222-20-220000-2-200000200-2200000000000
χ3166600-6-2-2022-2-220-220022000000-200200-20000000000
χ3266600-6-2-2022-2-220-2200-2-2000000200-20020000000000
χ3366600-6-2-202-222-202-200002200000200-2-200000000000
χ3466600-6-2-202-222-202-20000-2-200000-2002200000000000
χ3566-66606-6-60-22-22000-220000000000000000000000000
χ3666-6-6-606-660-22-220002-20000000000000000000000000
χ378-804-400000000000000−2i22i2−2i22i222-2-200000000000000000
χ388-804-4000000000000002i2−2i22i2−2i222-2-200000000000000000
χ398-80-4400000000000000−2i22i22i2−2i22-22-200000000000000000
χ408-80-44000000000000002i2−2i2−2i22i22-22-200000000000000000
χ411212-12000-440044-4-4000000000000000000000000000000
χ421212-12000-4400-4-444000000000000000000000000000000
χ4316-1608-8000000000000000000-2-22200000000000000000
χ4416-160-88000000000000000000-22-2200000000000000000

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