Finite Group Databasebeta

← Group #72247351

Character table — Group #72247351

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11669912121212161624243636363636363636484864647272727296969696144144144144192192
order12222244443622224444446636444412121212448866
χ11111111111111111111111111111111111111111
χ2111111111111-1-111111111111111-1-11111-1-1-1-1-1-1
χ3111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ4111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ51-1-11-11i−ii−i1-11-11-1i−ii−i1-11-11-11-11-1i−ii−ii−ii−i1-1
χ61-1-11-11i−ii−i1-1-111-1i−ii−i1-11-11-11-1-11i−ii−i−ii−ii-11
χ71-1-11-11−ii−ii1-11-11-1−ii−ii1-11-11-11-11-1−ii−ii−ii−ii1-1
χ81-1-11-11−ii−ii1-1-111-1−ii−ii1-11-11-11-1-11−ii−iii−ii−i-11
χ922222200002200-2-20000-2-22222-2-2000000000000
χ102-2-22-2200002-200-220000-222-22-2-22000000000000
χ114444440000-2-22200000000-2-211002200000000-1-1
χ124444440000-2-2-2-200000000-2-21100-2-20000000011
χ13444444222211000022220011-2-20000-1-1-1-1000000
χ14444444-2-2-2-2110000-2-2-2-20011-2-200001111000000
χ154-4-44-440000-222-200000000-221-1002-200000000-11
χ164-4-44-440000-22-2200000000-221-100-22000000001-1
χ174-4-44-442i−2i2i−2i1-100002i−2i2i−2i001-1-220000−ii−ii000000
χ184-4-44-44−2i2i−2i2i1-10000−2i2i−2i2i001-1-220000i−ii−i000000
χ196622-2-222443300-2-2-2-20022-1-1000000-1-111000000
χ206622-2-2442233002200-2-2-2-2-1-100000011-1-1000000
χ216622-2-2-4-4-2-23300220022-2-2-1-1000000-1-111000000
χ226622-2-2-2-2-4-43300-2-2220022-1-100000011-1-1000000
χ236-6-222-22i−2i4i−4i3-300-22−2i2i002-2-11000000−iii−i000000
χ246-6-222-24i−4i2i−2i3-3002-200−2i2i-22-11000000i−i−ii000000
χ256-6-222-2−4i4i−2i2i3-3002-2002i−2i-22-11000000−iii−i000000
χ266-6-222-2−2i2i−4i4i3-300-222i−2i002-2-11000000i−i−ii000000
χ2799-3-31133-3-3003311-1-111110000-1-1-1-1000011-1-100
χ2899-3-31133-3-300-3-311-1-111110000-1-1110000-1-11100
χ2999-3-311-3-33300331111-1-1110000-1-1-1-10000-1-11100
χ3099-3-311-3-33300-3-31111-1-1110000-1-111000011-1-100
χ319-93-3-113i−3i−3i3i003-31-1−iii−i1-10000-11-110000i−i−ii00
χ329-93-3-113i−3i−3i3i00-331-1−iii−i1-10000-111-10000−iii−i00
χ339-93-3-11−3i3i3i−3i003-31-1i−i−ii1-10000-11-110000−iii−i00
χ349-93-3-11−3i3i3i−3i00-331-1i−i−ii1-10000-111-10000i−i−ii00
χ35121244-4-422-2-2-3-3000022-2-20011000000-1-111000000
χ36121244-4-4-2-222-3-30000-2-222001100000011-1-1000000
χ3712-12-444-42i−2i−2i2i-3300002i−2i−2i2i001-1000000−iii−i000000
χ3812-12-444-4−2i2i2i−2i-330000−2i2i2i−2i001-1000000i−i−ii000000
χ391818-6-62200000000-2-20000-2-2000022000000000000
χ4018-186-6-2200000000-220000-2200002-2000000000000

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