Finite Group Databasebeta

← Group #72344099

Character table — Group #72344099

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111226688881212121212121212121212242424242424242424323232324848484848484848486464646464649696
order12224422444422444444444224444444366644444888812121212121244
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111-1-11-1-1-1-1-1-11111-111-1-1-1-1-1-1111111-1-1
χ311111111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1
χ411111111-1-1-1-111111-1-1-1-111-1-111111-1-11111-1-1-111-1-1-1-111-1-1-1-111
χ51111-1-11111-1-111-1-1-111111111-111-1-1-1-11111-11-11-111-1-1-1-111-1-11-1
χ61111-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-11-1-111-1-111-1-1-11
χ71111-1-111-1-11111-1-1-111111111-1-1-111-1-11111-1-11-1111-1-1-1-1-1-111-11
χ81111-1-111-1-11111-1-1-1-1-1-1-111-1-1-111-1-11111111-111-1-1-111-1-1-1-1111-1
χ922222222222222222000022002000000-1-1-1-1022000000-1-1-1-1-1-100
χ1022222222-2-2-2-222222000022002000000-1-1-1-10-2-2000000-1-1111100
χ112222-2-22222-2-222-2-2-200002200-2000000-1-1-1-102-200000011-1-11100
χ122222-2-222-2-22222-2-2-200002200-2000000-1-1-1-10-220000001111-1-100
χ132-2-2200-220000-2200022-2-22-22-200000002-2-22000002-20000000000
χ142-2-2200-220000-22000-2-2222-2-2200000002-2-2200000-220000000000
χ15333333333333-1-1-1-131111-1-111-111111100001-1-111-1-1-1-1000000-1-1
χ16333333333333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1111100000011
χ1733333333-3-3-3-3-1-1-1-131111-1-111-1-1-1-1-1110000111-1-1-1-1-1-100000011
χ1833333333-3-3-3-3-1-1-1-13-1-1-1-1-1-1-1-1-11111-1-10000-111111111000000-1-1
χ193333-3-33333-3-3-1-111-31111-1-111111-1-1-1-10000-1-111-1-1-111000000-11
χ203333-3-33333-3-3-1-111-3-1-1-1-1-1-1-1-11-1-1111100001-11-1111-1-10000001-1
χ213333-3-333-3-333-1-111-31111-1-1111-1-111-1-10000-11-1-11-1-1110000001-1
χ223333-3-333-3-333-1-111-3-1-1-1-1-1-1-1-1111-1-111000011-11-111-1-1000000-11
χ234-44-44-4002i−2i2i−2i000002-22-2000002i−2i2i−2i2-21-11-10000000001-1i−ii−i00
χ244-44-44-4002i−2i2i−2i00000-22-2200000−2i2i−2i2i-221-11-10000000001-1i−ii−i00
χ254-44-44-400−2i2i−2i2i000002-22-200000−2i2i−2i2i2-21-11-10000000001-1−ii−ii00
χ264-44-44-400−2i2i−2i2i00000-22-22000002i−2i2i−2i-221-11-10000000001-1−ii−ii00
χ274-44-4-44002i−2i−2i2i000002-22-2000002i−2i−2i2i-221-11-1000000000-11i−i−ii00
χ284-44-4-44002i−2i−2i2i00000-22-2200000−2i2i2i−2i2-21-11-1000000000-11i−i−ii00
χ294-44-4-4400−2i2i2i−2i000002-22-200000−2i2i2i−2i-221-11-1000000000-11−iii−i00
χ304-44-4-4400−2i2i2i−2i00000-22-22000002i−2i−2i2i2-21-11-1000000000-11−iii−i00
χ314-4-4400-440000-4400000004-4000000000-222-200000000000000000
χ32666666-2-2000022-2-2-20000-2-20022222000000000-2-2000000000000
χ33666666-2-2000022-2-2-20000-2-2002-2-2-2-200000000022000000000000
χ34666666-2-20000-2-222-2222222-2-2-20000220000-20000000000000000
χ35666666-2-20000-2-222-2-2-2-2-22222-20000-2-2000020000000000000000
χ366666-6-6-2-20000222220000-2-200-222-2-2000000000-22000000000000
χ376666-6-6-2-20000222220000-2-200-2-2-2220000000002-2000000000000
χ386666-6-6-2-20000-2-2-2-22222222-2-220000-2-2000020000000000000000
χ396666-6-6-2-20000-2-2-2-22-2-2-2-2222220000220000-20000000000000000
χ406-6-66002-200002-24i−4i022-2-22-2-220000000000000000002i−2i00000000
χ416-6-66002-200002-24i−4i0-2-2222-22-2000000000000000000−2i2i00000000
χ426-6-66002-200002-2−4i4i022-2-22-2-22000000000000000000−2i2i00000000
χ436-6-66002-200002-2−4i4i0-2-2222-22-20000000000000000002i−2i00000000
χ446-6-6600-6600002-200022-2-2-222-20000000000000000-220000000000
χ456-6-6600-6600002-2000-2-222-22-2200000000000000002-20000000000
χ4688-8-800000000000004-4-440000000000022-2-200000000000000000
χ4788-8-80000000000000-444-40000000000022-2-200000000000000000
χ488-88-88-8004i−4i4i−4i00000000000000000000-11-11000000000-11−ii−ii00
χ498-88-88-800−4i4i−4i4i00000000000000000000-11-11000000000-11i−ii−i00
χ508-88-8-88004i−4i−4i4i00000000000000000000-11-110000000001-1−iii−i00
χ518-88-8-8800−4i4i4i−4i00000000000000000000-11-110000000001-1i−i−ii00
χ5212-12-1212004-40000-440000000-44000000000000000000000000000000
χ531616-16-160000000000000000000000000000-2-22200000000000000000

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