Finite Group Databasebeta

← Group #11922243

Character table — Group #11922243

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222266888812121212121212121212121212121212121212121216161616161616161616242424242436364848484872727272
order122222366666664436662444488881212121224242424242424243666666666412121212446612122488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111-11-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111-1-1-1-1111111111-1-11111-1-11-1-111111-1-1-1-11-1-1111-1-1-1-1-111-1-11-111-1-1-11-11
χ61111-1-111-1-1-1-1111111111-1-1-1-1-1-1111-1-11-1-1-1-111111-1-1111-1-1-1-11-1-1111-111-1-11-11-1
χ71111-1-111-1-1-1-111111111-1-111111-1-11-1-111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-11-1-1111-11-1
χ81111-1-111-1-1-1-111111111-1-11-1-1-1-1111-1-11-1-1-1-111111-1-1111-1-1-1-11-1-111-11-1-111-11-11
χ92222222222222222-1-1-1-1222000000222200000000-1-1-1-1-1-1-1-1-1-10000022-1-1-1-10000
χ102222222222222222-1-1-1-1-22-2000000222200000000-1-1-1-1-1-1-1-1-1-100000-2-211110000
χ11222222-1-1-1-1-1-1-1-1222222020222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-10000000000
χ12222222-1-1-1-1-1-1-1-1222222020-2-2-2-2-2-2-1-1-1-111111111-122-1-1-1-1-1-1-1-211110000000000
χ132222-2-222-2-2-2-22222-1-1-1-12-2-20000002-2-2200000000-111-1-1-11111000002-2-1-1110000
χ142222-2-222-2-2-2-22222-1-1-1-1-2-220000002-2-2200000000-111-1-1-1111100000-2211-1-10000
χ152222-2-2-1-11111-1-12222220-202222-2-2-111-1-1-1-1-11111-1-2-2-1-1-11111-2-1-1110000000000
χ162222-2-2-1-11111-1-12222220-20-2-2-2-222-111-11111-1-1-1-1-1-2-2-1-1-11111211-1-10000000000
χ1722-2-2002-200002-22-222-2-20002i−2i2i−2i00200-22i2i−2i−2i00002002-2-2000002i−2i000000000000
χ1822-2-2002-200002-22-222-2-2000−2i2i−2i2i00200-2−2i−2i2i2i00002002-2-200000−2i2i000000000000
χ1922-2-200-11−i3−i3i3i3-112-222-2-20002i−2i2i−2i00-1−i3i31−i−iii33−3−3-100-111−i3−i3i3i30−ii3−30000000000
χ2022-2-200-11−i3−i3i3i3-112-222-2-2000−2i2i−2i2i00-1−i3i31ii−i−i−3−333-100-111−i3−i3i3i30i−i−330000000000
χ2122-2-200-11i3i3−i3−i3-112-222-2-20002i−2i2i−2i00-1i3−i31−i−iii−3−333-100-111i3i3−i3−i30−ii−330000000000
χ2222-2-200-11i3i3−i3−i3-112-222-2-2000−2i2i−2i2i00-1i3−i31ii−i−i33−3−3-100-111i3i3−i3−i30i−i3−30000000000
χ2333333333333333-1-100003-1311-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1000011-1-1
χ2433333333333333-1-100003-13-1-11111-1-1-1-1111111110000000000-1-1-1-1-1-1-10000-1-111
χ2533333333333333-1-10000-3-1-311-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111110000-1-111
χ2633333333333333-1-10000-3-1-3-1-11111-1-1-1-1111111110000000000-1-1-1-1-111000011-1-1
χ273333-3-333-3-3-3-333-1-1000031-311-1-111-111-1-1-1-1-111110000000000-111-1-1-110000-111-1
χ283333-3-333-3-3-3-333-1-1000031-3-1-111-1-1-111-11111-1-1-1-100000000001-1-111-1100001-1-11
χ293333-3-333-3-3-3-333-1-10000-31311-1-111-111-1-1-1-1-111110000000000-111-1-11-100001-1-11
χ303333-3-333-3-3-3-333-1-10000-313-1-111-1-1-111-11111-1-1-1-100000000001-1-1111-10000-111-1
χ31444444-2-2-2-2-2-2-2-244-2-2-2-2040000000-2-2-2-2000000001-2-21111111000000000000000
χ324444-4-4-2-22222-2-244-2-2-2-20-40000000-222-200000000122111-1-1-1-1000000000000000
χ3344-4-4004-400004-44-4-2-222000000000400-400000000-200-2220000000000000000000
χ3444-4-400-22−2i3−2i32i32i3-224-4-2-222000000000-2−2i32i32000000001001-1-1i3i3−i3−i3000000000000000
χ3544-4-400-222i32i3−2i3−2i3-224-4-2-222000000000-22i3−2i32000000001001-1-1−i3−i3i3i3000000000000000
χ364-44-4004-40000-4400-22-220000000−2i22i200000000−2i22i2−2i22i2-20022-20000000000000000000
χ374-44-4004-40000-4400-22-2200000002i2−2i2000000002i2−2i22i2−2i2-20022-20000000000000000000
χ384-44-400-22−2i32i3−2i32i32-200-22-220000000−2i22i200006−66−6i2−i2i2−i2100-1-11−i3i3−i3i3000000000000000
χ394-44-400-22−2i32i3−2i32i32-200-22-2200000002i2−2i20000−66−66−i2i2−i2i2100-1-11−i3i3−i3i3000000000000000
χ404-44-400-222i3−2i32i3−2i32-200-22-220000000−2i22i20000−66−66i2−i2i2−i2100-1-11i3−i3i3−i3000000000000000
χ414-44-400-222i3−2i32i3−2i32-200-22-2200000002i2−2i200006−66−6−i2i2−i2i2100-1-11i3−i3i3−i3000000000000000
χ424-4-444-4444-4-44-4-4001-1-1100000000000000000000011-1-11-1-111-10000000−i3i3−i3i30000
χ434-4-444-4444-4-44-4-4001-1-1100000000000000000000011-1-11-1-111-10000000i3−i3i3−i30000
χ444-4-444-4444-4-44-4-400-222-2000000000000000000000-2-222-222-2-22000000000000000
χ454-4-444-4-2-2-222-22200-222-20000000000000i6−i6−i6i6−i6i6i6−i61-22-11-1-111-1000000000000000
χ464-4-444-4-2-2-222-22200-222-20000000000000−i6i6i6−i6i6−i6−i6i61-22-11-1-111-1000000000000000
χ474-4-44-4444-444-4-4-4001-1-110000000000000000000001-11-11-11-1-110000000−i3i3i3−i30000
χ484-4-44-4444-444-4-4-4001-1-110000000000000000000001-11-11-11-1-110000000i3−i3−i3i30000
χ494-4-44-4444-444-4-4-400-222-2000000000000000000000-22-22-22-222-2000000000000000
χ504-4-44-44-2-22-2-222200-222-20000000000000i6−i6−i6i6i6−i6−i6i612-2-11-11-1-11000000000000000
χ514-4-44-44-2-22-2-222200-222-20000000000000−i6i6i6−i6−i6i6i6−i612-2-11-11-1-11000000000000000
χ52666666-3-3-3-3-3-3-3-3-2-200000-2022-2-2-2-211111111111100000000002-1-1-1-10000000000
χ53666666-3-3-3-3-3-3-3-3-2-200000-20-2-222221111-1-1-1-1-1-1-1-10000000000-211110000000000
χ546666-6-6-3-33333-3-3-2-2000002022-2-2221-1-111111-1-1-1-10000000000-2-1-1110000000000
χ556666-6-6-3-33333-3-3-2-20000020-2-222-2-21-1-11-1-1-1-111110000000000211-1-10000000000
χ5666-6-6006-600006-6-2200000002i−2i−2i2i00-2002−2i−2i2i2i0000000000000002i−2i000000000000
χ5766-6-6006-600006-6-220000000−2i2i2i−2i00-20022i2i−2i−2i000000000000000−2i2i000000000000
χ5866-6-600-33−3i3−3i33i33i3-33-2200000002i−2i−2i2i001i3−i3-1ii−i−i−3−33300000000000−ii3−30000000000
χ5966-6-600-33−3i3−3i33i33i3-33-220000000−2i2i2i−2i001i3−i3-1−i−iii33−3−300000000000i−i−330000000000
χ6066-6-600-333i33i3−3i3−3i3-33-2200000002i−2i−2i2i001−i3i3-1ii−i−i33−3−300000000000−ii−330000000000
χ6166-6-600-333i33i3−3i3−3i3-33-220000000−2i2i2i−2i001−i3i3-1−i−iii−3−33300000000000i−i3−30000000000
χ628-88-8008-80000-88002-22-2000000000000000000000200-2-220000000000000000000
χ638-88-800-44−4i34i3−4i34i34-4002-22-2000000000000000000000-10011-1i3−i3i3−i3000000000000000
χ648-88-800-444i3−4i34i3−4i34-4002-22-2000000000000000000000-10011-1−i3i3−i3i3000000000000000
χ658-8-888-8-4-4-444-444002-2-22000000000000000000000-12-21-111-1-11000000000000000
χ668-8-88-88-4-44-4-4444002-2-22000000000000000000000-1-221-11-111-1000000000000000

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