Finite Group Databasebeta

← Group #11922548

Character table — Group #11922548

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222233336666666666888812121212121212121212121212121212121212121212121212121616161616161616161636364848484872727272
order122222366666662222226666666636662444444444121212121212121212121212121212123666666666246612122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ311111111111111111111111111111111-11111-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ51111-1-1111-1-1-1-111111-1-1111-1-1-1-111111111-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11-111-1-11-11-1
χ61111-1-1111-1-1-1-111111-1-1111-1-1-1-1111111-1-111-1-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11-111-1-1-11-11
χ71111-1-1111-1-1-1-111111-1-1111-1-1-1-111111-111-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1-111-11-11
χ81111-1-1111-1-1-1-111111-1-1111-1-1-1-111111-1-1-1111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1-11-1-1111-11-1
χ92222222222222222222222222222-1-1-1-120000200000000000000000000-1-1-1-1-1-1-1-1-1-122-1-1-1-10000
χ102222222222222222222222222222-1-1-1-1-20000-200000000000000000000-1-1-1-1-1-1-1-1-1-1-2-211110000
χ11222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122220222202222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-10000000000
χ12222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122220-2-2-2-20-2-2-2-21111111111111111-122-1-1-1-1-1-1-10000000000
χ132222-2-2222-2-2-2-222222-2-2222-2-2-2-22-1-1-1-120000-200000000000000000000-111-1-1-111112-2-1-1110000
χ142222-2-2222-2-2-2-222222-2-2222-2-2-2-22-1-1-1-1-20000200000000000000000000-111-1-1-11111-2211-1-10000
χ152222-2-2-1-1-11111-12222-2-2-1-1-11111-12222022-2-2022-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-111110000000000
χ162222-2-2-1-1-11111-12222-2-2-1-1-11111-122220-2-2220-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-111110000000000
χ1722-2-20022-20000-22-22-20022-20000-222-2-20002i−2i0002i−2i00002i2i−2i−2i00002i2i−2i−2i2002-2-200000000000000
χ1822-2-20022-20000-22-22-20022-20000-222-2-2000−2i2i000−2i2i0000−2i−2i2i2i0000−2i−2i2i2i2002-2-200000000000000
χ1922-2-200-1-11−i3−i3i3i312-22-200-1-11−i3−i3i3i3122-2-20002i−2i0002i−2i33−3−3−i−iii33−3−3−i−iii-100-111−i3−i3i3i30000000000
χ2022-2-200-1-11−i3−i3i3i312-22-200-1-11−i3−i3i3i3122-2-2000−2i2i000−2i2i−3−333ii−i−i−3−333ii−i−i-100-111−i3−i3i3i30000000000
χ2122-2-200-1-11i3i3−i3−i312-22-200-1-11i3i3−i3−i3122-2-20002i−2i0002i−2i−3−333−i−iii−3−333−i−iii-100-111i3i3−i3−i30000000000
χ2222-2-200-1-11i3i3−i3−i312-22-200-1-11i3i3−i3−i3122-2-2000−2i2i000−2i2i33−3−3ii−i−i33−3−3ii−i−i-100-111i3i3−i3−i30000000000
χ232-22-2002-2-200002-222-2002-2-2000022-22-202-20002-2002-22-200002-22-20000200-22-200000000000000
χ242-22-2002-2-200002-222-2002-2-2000022-22-20-22000-2200-22-220000-22-220000200-22-200000000000000
χ252-22-200-111−i3i3−i3i3-1-222-200-111−i3i3−i3i3-12-22-202-20002-200-11-11−i3i3−i3i3-11-11−i3i3−i3i3-1001-11−i3i3−i3i30000000000
χ262-22-200-111−i3i3−i3i3-1-222-200-111−i3i3−i3i3-12-22-20-22000-22001-11-1i3−i3i3−i31-11-1i3−i3i3−i3-1001-11−i3i3−i3i30000000000
χ272-22-200-111i3−i3i3−i3-1-222-200-111i3−i3i3−i3-12-22-202-20002-200-11-11i3−i3i3−i3-11-11i3−i3i3−i3-1001-11i3−i3i3−i30000000000
χ282-22-200-111i3−i3i3−i3-1-222-200-111i3−i3i3−i3-12-22-20-22000-22001-11-1−i3i3−i3i31-11-1−i3i3−i3i3-1001-11i3−i3i3−i30000000000
χ292-2-222-22-222-2-22-2-2-2222-22-222-2-22-22-2-220000000000000000000000000022-2-2-222-2-220000000000
χ302-2-222-22-222-2-22-2-2-2222-22-222-2-22-2-111-100000000000000000000000000-1-1111-1-111-100−i3i3−i3i30000
χ312-2-222-22-222-2-22-2-2-2222-22-222-2-22-2-111-100000000000000000000000000-1-1111-1-111-100i3−i3i3−i30000
χ322-2-222-2-11-1-111-11-2-2222-2-11-1-111-112-2-2200000000003−3−333−3−333−3−333−3−33-12-211-1-111-10000000000
χ332-2-222-2-11-1-111-11-2-2222-2-11-1-111-112-2-220000000000−333−3−333−3−333−3−333−3-12-211-1-111-10000000000
χ342-2-22-222-22-222-2-2-2-222-222-22-222-2-22-2-22000000000000000000000000002-22-2-22-222-20000000000
χ352-2-22-222-22-222-2-2-2-222-222-22-222-2-2-111-100000000000000000000000000-11-111-11-1-1100−i3i3i3−i30000
χ362-2-22-222-22-222-2-2-2-222-222-22-222-2-2-111-100000000000000000000000000-11-111-11-1-1100i3−i3−i3i30000
χ372-2-22-22-11-11-1-111-2-222-22-11-11-1-1112-2-2200000000003−3−33−333−33−3−33−333−3-1-2211-11-1-110000000000
χ382-2-22-22-11-11-1-111-2-222-22-11-11-1-1112-2-220000000000−333−33−3−33−333−33−3−33-1-2211-11-1-110000000000
χ3933333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000311113-1-1-1-111111111-1-1-1-1-1-1-1-10000000000-1-1000011-1-1
χ4033333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-100003-1-1-1-131111-1-1-1-1-1-1-1-1111111110000000000-1-10000-1-111
χ4133333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-31111-3-1-1-1-111111111-1-1-1-1-1-1-1-10000000000110000-1-111
χ4233333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3-1-1-1-1-31111-1-1-1-1-1-1-1-111111111000000000011000011-1-1
χ433333-3-3333-3-3-3-33-1-1-1-111-1-1-11111-10000311-1-1-3-1-1111111-1-1-1-1-1-1-1-111110000000000-1100001-1-11
χ443333-3-3333-3-3-3-33-1-1-1-111-1-1-11111-100003-1-111-311-1-1-1-1-1-111111111-1-1-1-10000000000-110000-111-1
χ453333-3-3333-3-3-3-33-1-1-1-111-1-1-11111-10000-311-1-13-1-1111111-1-1-1-1-1-1-1-1111100000000001-10000-111-1
χ463333-3-3333-3-3-3-33-1-1-1-111-1-1-11111-10000-3-1-111311-1-1-1-1-1-111111111-1-1-1-100000000001-100001-1-11
χ47444444-2-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000001-2-211111110000000000
χ484444-4-4-2-2-22222-24444-4-4-2-2-22222-2-2-2-2-200000000000000000000000000122111-1-1-1-10000000000
χ4944-4-40044-40000-44-44-40044-40000-4-2-22200000000000000000000000000-200-22200000000000000
χ5044-4-400-2-22−2i3−2i32i32i324-44-400-2-22−2i3−2i32i32i32-2-222000000000000000000000000001001-1-1i3i3−i3−i30000000000
χ5144-4-400-2-222i32i3−2i3−2i324-44-400-2-222i32i3−2i3−2i32-2-222000000000000000000000000001001-1-1−i3−i3i3i30000000000
χ524-44-4004-4-400004-444-4004-4-400004-22-2200000000000000000000000000-2002-2200000000000000
χ534-44-400-222−2i32i3−2i32i3-2-444-400-222−2i32i3−2i32i3-2-22-2200000000000000000000000000100-11-1i3−i3i3−i30000000000
χ544-44-400-2222i3−2i32i3−2i3-2-444-400-2222i3−2i32i3−2i3-2-22-2200000000000000000000000000100-11-1−i3i3−i3i30000000000
χ554-4-444-4-22-2-222-22-4-4444-4-22-2-222-22-222-2000000000000000000000000001-22-1-111-1-110000000000
χ564-4-44-44-22-22-2-222-4-444-44-22-22-2-222-222-20000000000000000000000000012-2-1-11-111-10000000000
χ57666666-3-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000022220-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ58666666-3-3-3-3-3-3-3-3-2-2-2-2-2-21111111100000-2-2-2-20222211111111-1-1-1-1-1-1-1-100000000000000000000
χ596666-6-6-3-3-33333-3-2-2-2-222111-1-1-1-110000022-2-20-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ606666-6-6-3-3-33333-3-2-2-2-222111-1-1-1-1100000-2-222022-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ6166-6-60066-60000-6-22-2200-2-220000200000002i−2i000−2i2i00002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ6266-6-60066-60000-6-22-2200-2-22000020000000−2i2i0002i−2i0000−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ6366-6-600-3-33−3i3−3i33i33i33-22-220011-1i3i3−i3−i3-100000002i−2i000−2i2i33−3−3−i−iii−3−333ii−i−i00000000000000000000
χ6466-6-600-3-33−3i3−3i33i33i33-22-220011-1i3i3−i3−i3-10000000−2i2i0002i−2i−3−333ii−i−i33−3−3−i−iii00000000000000000000
χ6566-6-600-3-333i33i3−3i3−3i33-22-220011-1−i3−i3i3i3-100000002i−2i000−2i2i−3−333−i−iii33−3−3ii−i−i00000000000000000000
χ6666-6-600-3-333i33i3−3i3−3i33-22-220011-1−i3−i3i3i3-10000000−2i2i0002i−2i33−3−3ii−i−i−3−333−i−iii00000000000000000000
χ676-66-6006-6-6000062-2-2200-2220000-2000002-2000-22002-22-20000-22-22000000000000000000000000
χ686-66-6006-6-6000062-2-2200-2220000-200000-220002-200-22-2200002-22-2000000000000000000000000
χ696-66-600-333−3i33i3−3i33i3-32-2-22001-1-1i3−i3i3−i31000002-2000-2200-11-11−i3i3−i3i31-11-1i3−i3i3−i300000000000000000000
χ706-66-600-333−3i33i3−3i33i3-32-2-22001-1-1i3−i3i3−i3100000-220002-2001-11-1i3−i3i3−i3-11-11−i3i3−i3i300000000000000000000
χ716-66-600-3333i3−3i33i3−3i3-32-2-22001-1-1−i3i3−i3i31000002-2000-2200-11-11i3−i3i3−i31-11-1−i3i3−i3i300000000000000000000
χ726-66-600-3333i3−3i33i3−3i3-32-2-22001-1-1−i3i3−i3i3100000-220002-2001-11-1−i3i3−i3i3-11-11i3−i3i3−i300000000000000000000
χ736-6-666-66-666-6-66-622-2-2-22-22-2-222-2200000000000000000000000000000000000000000000000000
χ746-6-666-6-33-3-333-3322-2-2-221-111-1-11-1000000000000003−3−333−3−33−333−3−333−300000000000000000000
χ756-6-666-6-33-3-333-3322-2-2-221-111-1-11-100000000000000−333−3−333−33−3−333−3−3300000000000000000000
χ766-6-66-666-66-666-6-622-2-22-2-22-22-2-22200000000000000000000000000000000000000000000000000
χ776-6-66-66-33-33-3-33322-2-22-21-11-111-1-1000000000000003−3−33−333−3−333−33−3−3300000000000000000000
χ786-6-66-66-33-33-3-33322-2-22-21-11-111-1-100000000000000−333−33−3−333−3−33−333−300000000000000000000

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