Finite Group Databasebeta

← Group #11800023

Character table — Group #11800023

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222222444444444444444444448888888888888888888888824242424242424242424242448484848484872727272
order1223344666612122346666668812121212121212121266681212122424242424242424242424242424242488882424242424242424441212121216161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-11-11-1-111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-11111-1-1
χ61111111111111-11-11-1-111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-111
χ71111111111111-11-11-1-111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-111
χ81111111111111-11-11-1-111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-111-1-1
χ92222222222222222222222-2-2222222222222-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ102222222222222-22-22-2-2222-2-2-2-22222222-2-2-22-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000
χ1122222-2-22222-2-222-222222200-2-2-2-2-2-2-2-2-22220-2-2-20000000000000000000000000000000000−i2i2−i2i2
χ1222222-2-22222-2-222-222222200-2-2-2-2-2-2-2-2-22220-2-2-20000000000000000000000000000000000i2−i2i2−i2
χ1322222-2-22222-2-2-2222-2-22220022-2-2-2-2-2-2-2-2-2-202220000000000000000000000000000000000−i2i2i2−i2
χ1422222-2-22222-2-2-2222-2-22220022-2-2-2-2-2-2-2-2-2-202220000000000000000000000000000000000i2−i2−i2i2
χ152222-1222-1-1-1222-12222-1-1-12222-1-1-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000022-1-1-1-10000
χ162222-1222-1-1-1222-12222-1-1-12222-1-1-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000-2-211110000
χ172222-1222-1-1-1222-12222-1-1-1-2-222-1-1-12-1-1-1-1-1-1-2-1-1-1-2-2111111-2-211111100000000000000−i3i3−i3i30000
χ182222-1222-1-1-1222-12222-1-1-1-2-222-1-1-12-1-1-1-1-1-1-2-1-1-1-2-2111111-2-211111100000000000000i3−i3i3−i30000
χ192222-1222-1-1-122-2-1-22-2-2-1-1-122-2-2-1-1-12-1-1-1111-211122-1-1-1-1-1-1-2-21111110000000000002-211-1-10000
χ202222-1222-1-1-122-2-1-22-2-2-1-1-122-2-2-1-1-12-1-1-1111-211122-1-1-1-1-1-1-2-2111111000000000000-22-1-1110000
χ212222-1222-1-1-122-2-1-22-2-2-1-1-1-2-2-2-2-1-1-12-1-1-11112111-2-211111122-1-1-1-1-1-100000000000000−i3i3i3−i30000
χ222222-1222-1-1-122-2-1-22-2-2-1-1-1-2-2-2-2-1-1-12-1-1-11112111-2-211111122-1-1-1-1-1-100000000000000i3−i3−i3i30000
χ23222-1222-1222-1-12-12-1-1-1-1-1-122-1-12-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ24222-1222-1222-1-12-12-1-1-1-1-1-122-1-12-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000000
χ25222-1222-1222-1-12-12-1-1-1-1-1-1-2-2-1-12-1-1-12-1-12-1-1-22-1-111-2-2111111-2-211110000−i3−i3i3i3−i3−i3i3i30000000000
χ26222-1222-1222-1-12-12-1-1-1-1-1-1-2-2-1-12-1-1-12-1-12-1-1-22-1-111-2-2111111-2-211110000i3i3−i3−i3i3i3−i3−i30000000000
χ27222-1222-1222-1-1-2-1-2-111-1-1-122112-1-1-12-1-1-211-2-211-1-122-1-1-1-111-2-2111122-2-2-1-1-1-111110000000000
χ28222-1222-1222-1-1-2-1-2-111-1-1-122112-1-1-12-1-1-211-2-211-1-122-1-1-1-111-2-21111-2-2221111-1-1-1-10000000000
χ29222-1222-1222-1-1-2-1-2-111-1-1-1-2-2112-1-1-12-1-1-2112-21111-2-21111-1-122-1-1-1-10000−i3−i3i3i3i3i3−i3−i30000000000
χ30222-1222-1222-1-1-2-1-2-111-1-1-1-2-2112-1-1-12-1-1-2112-21111-2-21111-1-122-1-1-1-10000i3i3−i3−i3−i3−i3i3i30000000000
χ3122-2222-22-2-22-2-2020-200-2-222-200-2-2-2222200000002-22-222-2-200000000002i−2i00002i−2i2i−2i0000000000
χ3222-2222-22-2-22-2-2020-200-2-222-200-2-2-2222200000002-22-222-2-20000000000−2i2i0000−2i2i−2i2i0000000000
χ3322-2222-22-2-22-2-2020-200-2-22-2200-2-2-222220000000-22-22-2-222000000002i−2i002i−2i2i−2i00000000000000
χ3422-2222-22-2-22-2-2020-200-2-22-2200-2-2-222220000000-22-22-2-22200000000−2i2i00−2i2i−2i2i00000000000000
χ3522-2-122-2-1-2-22110-101−i3i311-12-2−i3i3-211-12-1-10−i3i300−i3i3-112-2-1-111−i3i300−i3−i3i3i3002i−2i3−3−33−ii−ii0000000000
χ3622-2-122-2-1-2-22110-101−i3i311-12-2−i3i3-211-12-1-10−i3i300−i3i3-112-2-1-111−i3i300−i3−i3i3i300−2i2i−333−3i−ii−i0000000000
χ3722-2-122-2-1-2-22110-101−i3i311-1-22−i3i3-211-12-1-10−i3i300−i3i31-1-2211-1-1i3−i300i3i3−i3−i32i−2i00−ii−ii3−3−330000000000
χ3822-2-122-2-1-2-22110-101−i3i311-1-22−i3i3-211-12-1-10−i3i300−i3i31-1-2211-1-1i3−i300i3i3−i3−i3−2i2i00i−ii−i−333−30000000000
χ3922-2-122-2-1-2-22110-101i3−i311-12-2i3−i3-211-12-1-10i3−i300i3−i3-112-2-1-111i3−i300i3i3−i3−i3002i−2i−333−3−ii−ii0000000000
χ4022-2-122-2-1-2-22110-101i3−i311-12-2i3−i3-211-12-1-10i3−i300i3−i3-112-2-1-111i3−i300i3i3−i3−i300−2i2i3−3−33i−ii−i0000000000
χ4122-2-122-2-1-2-22110-101i3−i311-1-22i3−i3-211-12-1-10i3−i300i3−i31-1-2211-1-1−i3i300−i3−i3i3i32i−2i00−ii−ii−333−30000000000
χ4222-2-122-2-1-2-22110-101i3−i311-1-22i3−i3-211-12-1-10i3−i300i3−i31-1-2211-1-1−i3i300−i3−i3i3i3−2i2i00i−ii−i3−3−330000000000
χ434444-2-4-44-2-2-2-4-44-2-4444-2-2-200-4-4222-4222-2-2-2022200000000000000000000000000000000000000
χ444444-2-4-44-2-2-2-4-4-4-244-4-4-2-2-20044222-42222220-2-2-200000000000000000000000000000000000000
χ45444-24-4-4-2444224-2-4-2-2-2-2-2-20022-4222-4224-2-20-42200000000000000000000000000000000000000
χ46444-24-4-4-244422-4-24-222-2-2-200-2-2-4222-422-42204-2-200000000000000000000000000000000000000
χ47444-2-244-2-2-2-2-2-2414-2-2-211144-2-2-211-2-211-2114-211-2-2-2-21111-2-2-2-211110000000000000000000000
χ48444-2-244-2-2-2-2-2-2414-2-2-2111-4-4-2-2-211-2-211-211-4-2112222-1-1-1-12222-1-1-1-10000000000000000000000
χ49444-2-244-2-2-2-2-2-2-41-4-2221114422-211-2-2112-1-1-42-1-1-2-2-2-211112222-1-1-1-10000000000000000000000
χ50444-2-244-2-2-2-2-2-2-41-4-222111-4-422-211-2-2112-1-142-1-12222-1-1-1-1-2-2-2-211110000000000000000000000
χ51444-2-2-4-4-2-2-2-22241-4-2-2-211100222-1-122-1-1-21102-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000
χ52444-2-2-4-4-2-2-2-22241-4-2-2-211100222-1-122-1-1-21102-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000
χ53444-2-2-4-4-2-2-2-222-414-22211100-2-22-1-122-1-12-1-10-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000
χ54444-2-2-4-4-2-2-2-222-414-22211100-2-22-1-122-1-12-1-10-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000
χ5544-444-444-4-4444040-400-4-440000444-4-4-4-4000000000000000000000000000000000000000000000
χ5644-44-24-4422-2-4-40-20-40022-24-4002224-2-2-200000004-4-22-2-222000000000000000000000000000000
χ5744-44-24-4422-2-4-40-20-40022-2-44002224-2-2-20000000-442-222-2-2000000000000000000000000000000
χ5844-44-2-44422-2440-20-40022-20000-2-2-2-42220000000000000000023−2323−23−23230000000000000000000000
χ5944-44-2-44422-2440-20-40022-20000-2-2-2-422200000000000000000−2323−232323−230000000000000000000000
χ6044-4-24-44-2-4-44-2-20-202−2i32i322-2002i3−2i34-2-22-4220−2i32i3002i3−2i300000000000000000000000000000000000000
χ6144-4-24-44-2-4-44-2-20-2022i3−2i322-200−2i32i34-2-22-42202i3−2i300−2i32i300000000000000000000000000000000000000
χ6244-4-2-24-4-222-2220102−2i32i3-1-114-4−2i32i32-1-1-2-2110i3−i300i3−i3-22-2211-1-1−2i32i300i3i3−i3−i30000000000000000000000
χ6344-4-2-24-4-222-2220102−2i32i3-1-11-44−2i32i32-1-1-2-2110i3−i300i3−i32-22-2-1-1112i3−2i300−i3−i3i3i30000000000000000000000
χ6444-4-2-24-4-222-22201022i3−2i3-1-114-42i3−2i32-1-1-2-2110−i3i300−i3i3-22-2211-1-12i3−2i300−i3−i3i3i30000000000000000000000
χ6544-4-2-24-4-222-22201022i3−2i3-1-11-442i3−2i32-1-1-2-2110−i3i300−i3i32-22-2-1-111−2i32i300i3i3−i3−i30000000000000000000000
χ6644-4-2-2-44-222-2-2-20102−2i32i3-1-11002i3−2i3-21122-1-10i3−i300−i3i300003i−3i−3i3i00−23233−3−330000000000000000000000
χ6744-4-2-2-44-222-2-2-20102−2i32i3-1-11002i3−2i3-21122-1-10i3−i300−i3i30000−3i3i3i−3i0023−23−333−30000000000000000000000
χ6844-4-2-2-44-222-2-2-201022i3−2i3-1-1100−2i32i3-21122-1-10−i3i300i3−i300003i−3i−3i3i0023−23−333−30000000000000000000000
χ6944-4-2-2-44-222-2-2-201022i3−2i3-1-1100−2i32i3-21122-1-10−i3i300i3−i30000−3i3i3i−3i00−23233−3−330000000000000000000000
χ708-808800-800-80008000000-800000000000000000000000000000000000000000000000000000000
χ718-808-400-8−4i34i34000-40000−4i34i3400000000000000000000000000000000000000000000000000000000
χ728-808-400-84i3−4i34000-400004i3−4i3400000000000000000000000000000000000000000000000000000000
χ738-80-4800400-843−430-400000040000043−430000000000000000000000000000000000000000000000000
χ748-80-4800400-8−43430-4000000400000−43430000000000000000000000000000000000000000000000000
χ758-80-4-4004−4i34i3443−430200002i3−2i3-200000−2323006i−6i000000000000000000000000000000000000000000000
χ768-80-4-4004−4i34i34−43430200002i3−2i3-20000023−2300−6i6i000000000000000000000000000000000000000000000
χ778-80-4-40044i3−4i3443−43020000−2i32i3-200000−232300−6i6i000000000000000000000000000000000000000000000
χ788-80-4-40044i3−4i34−4343020000−2i32i3-20000023−23006i−6i000000000000000000000000000000000000000000000

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