Finite Group Databasebeta

← Group #72344101

Character table — Group #72344101

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111226688881212121212121212121212242424242424242424323232324848484848484848486464646464649696
order1222442222222244444444444444444436664444488886666121244
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1111111-1-1
χ311111111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-1
χ411111111-1-1-1-111111-1-1-1-1111-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-11111
χ51111-1-11111-1-111-1-1-1111111-11111-1-1-1-11111-11-11-111-1-111-1-1-1-11-1
χ61111-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-11-1-11111-1-1-1-1-11
χ71111-1-111-1-11111-1-1-1111111-111-1-111-1-11111-1-11-1111-1-1-1-111-1-1-11
χ81111-1-111-1-11111-1-1-1-1-1-1-111-1-1-111-1-11111111-111-1-1-111-1-111-1-11-1
χ922222222222222222000022200000000-1-1-1-1022000000-1-1-1-1-1-100
χ1022222222-2-2-2-222222000022200000000-1-1-1-10-2-20000001111-1-100
χ112222-2-22222-2-222-2-2-2000022-200000000-1-1-1-102-2000000-1-1111100
χ122222-2-222-2-22222-2-2-2000022-200000000-1-1-1-10-2200000011-1-11100
χ132-2-2200-220000-2200022-2-22-202-200000022-2-2000002-20000000000
χ142-2-2200-220000-22000-2-2222-20-2200000022-2-200000-220000000000
χ15333333333333-1-13-1-11111-1-1-11111111100001-1-111-1-1-1-1000000-1-1
χ16333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1111100000011
χ1733333333-3-3-3-3-1-13-1-11111-1-1-111-1-1-1-1110000111-1-1-1-1-1-100000011
χ1833333333-3-3-3-3-1-13-1-1-1-1-1-1-1-1-1-1-11111-1-10000-111111111000000-1-1
χ193333-3-33333-3-3-1-1-3111111-1-111111-1-1-1-10000-1-111-1-1-111000000-11
χ203333-3-33333-3-3-1-1-311-1-1-1-1-1-11-1-1-1-1111100001-11-1111-1-10000001-1
χ213333-3-333-3-333-1-1-3111111-1-1111-1-111-1-10000-11-1-11-1-1110000001-1
χ223333-3-333-3-333-1-1-311-1-1-1-1-1-11-1-111-1-111000011-11-111-1-1000000-11
χ2344-4-44-4002-22-2000002i−2i2i−2i000002i−2i2i−2i2i−2i1-1-110000000001-11-11-100
χ2444-4-44-4002-22-200000−2i2i−2i2i00000−2i2i−2i2i−2i2i1-1-110000000001-11-11-100
χ2544-4-44-400-22-22000002i−2i2i−2i00000−2i2i−2i2i2i−2i1-1-11000000000-11-111-100
χ2644-4-44-400-22-2200000−2i2i−2i2i000002i−2i2i−2i−2i2i1-1-11000000000-11-111-100
χ2744-4-4-44002-2-22000002i−2i2i−2i000002i−2i−2i2i−2i2i1-1-110000000001-1-11-1100
χ2844-4-4-44002-2-2200000−2i2i−2i2i00000−2i2i2i−2i2i−2i1-1-110000000001-1-11-1100
χ2944-4-4-4400-222-2000002i−2i2i−2i00000−2i2i2i−2i−2i2i1-1-11000000000-111-1-1100
χ3044-4-4-4400-222-200000−2i2i−2i2i000002i−2i−2i2i2i−2i1-1-11000000000-111-1-1100
χ314-4-4400-440000-4400000004-4000000000-2-22200000000000000000
χ32666666-2-2000022-2-2-20000-2-22002222000000000-2-2000000000000
χ33666666-2-2000022-2-2-20000-2-2200-2-2-2-200000000022000000000000
χ34666666-2-20000-2-2-222222222-2-2-20000220000-20000000000000000
χ35666666-2-20000-2-2-222-2-2-2-222-2220000-2-2000020000000000000000
χ366666-6-6-2-20000222220000-2-2-20022-2-2000000000-22000000000000
χ376666-6-6-2-20000222220000-2-2-200-2-2220000000002-2000000000000
χ386666-6-6-2-20000-2-22-2-22222222-2-20000-2-2000020000000000000000
χ396666-6-6-2-20000-2-22-2-2-2-2-2-2222220000220000-20000000000000000
χ406-6-66002-200002-204i−4i22-2-22-20-22000000000000000002i−2i00000000
χ416-6-66002-200002-204i−4i-2-2222-202-200000000000000000−2i2i00000000
χ426-6-66002-200002-20−4i4i22-2-22-20-2200000000000000000−2i2i00000000
χ436-6-66002-200002-20−4i4i-2-2222-202-2000000000000000002i−2i00000000
χ446-6-6600-6600002-200022-2-2-2202-2000000000000000-220000000000
χ456-6-6600-6600002-2000-2-222-220-220000000000000002-20000000000
χ4688-8-88-8004-44-400000000000000000000-111-1000000000-11-11-1100
χ4788-8-88-800-44-4400000000000000000000-111-10000000001-11-1-1100
χ4888-8-8-88004-4-4400000000000000000000-111-1000000000-111-11-100
χ4988-8-8-8800-444-400000000000000000000-111-10000000001-1-111-100
χ508-88-800000000000004i−4i−4i4i000000000002-22-200000000000000000
χ518-88-80000000000000−4i4i4i−4i000000000002-22-200000000000000000
χ5212-12-1212004-40000-440000000-44000000000000000000000000000000
χ5316-1616-160000000000000000000000000000-22-2200000000000000000

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