Finite Group Databasebeta

← Group #11778030

Character table — Group #11778030

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222224444444444444444448888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222223366666666662234466666666666664666666121212121212121212121212121212122244444466661212121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-111111-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-111111-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-111111-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-111111-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222222222222222-2-22222222222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ10222222222222222222-2-22-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000000000
χ112222222-12-1-1-1-1-1-1-12222-122222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000022-1-1-1-1-1-1-1-1000000000000
χ122222222-12-1-1-1-1-1-1-12222-122222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-211111111000000000000
χ132222222-12-1-1-1-1-1-1-12222-1-2-2222222-1-1-1-1-1-1-1-2-1-1-1-1-1-11111-2-2-2-21111111100000000−i3−i3i3i3−i3−i3i3i3000000000000
χ142222222-12-1-1-1-1-1-1-12222-1-2-2222222-1-1-1-1-1-1-1-2-1-1-1-1-1-11111-2-2-2-21111111100000000i3i3−i3−i3i3i3−i3−i3000000000000
χ152222222-12-1-1-1-1-1-1-122-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-2111111-1-11122-2-2-1-1-1-11111220000-2-2-1-1-1-11111000000000000
χ162222222-12-1-1-1-1-1-1-122-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-2111111-1-11122-2-2-1-1-1-11111-2-20000221111-1-1-1-1000000000000
χ172222222-12-1-1-1-1-1-1-122-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1211111111-1-1-2-2221111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3000000000000
χ182222222-12-1-1-1-1-1-1-122-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1211111111-1-1-2-2221111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3000000000000
χ19222222-12-12222222-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000000000-1-1-1-1-1-1-1-10000
χ20222222-12-12222222-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000111111110000
χ21222222-12-12222222-1-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-222-1-1-1-1-2-2-2-21111111111110000000000000000−i3−i3i3i3−i3−i3i3i30000
χ22222222-12-12222222-1-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-222-1-1-1-1-2-2-2-21111111111110000000000000000i3i3−i3−i3i3i3−i3−i30000
χ23222222-12-12222222-1-1-2-2-122-1-11111-1-1-1-1-1-1-1-2-2-2111122-2-2-1-111-1-1-1-111110022-2-20000000000-1-1-1-111110000
χ24222222-12-12222222-1-1-2-2-122-1-11111-1-1-1-1-1-1-1-2-2-2111122-2-2-1-111-1-1-1-1111100-2-22200000000001111-1-1-1-10000
χ25222222-12-12222222-1-1-2-2-1-2-2-1-11111-1-1-1-1-1-1-12-2-21111-2-22211-1-11111-1-1-1-10000000000000000−i3−i3i3i3i3i3−i3−i30000
χ26222222-12-12222222-1-1-2-2-1-2-2-1-11111-1-1-1-1-1-1-12-2-21111-2-22211-1-11111-1-1-1-10000000000000000i3i3−i3−i3−i3−i3i3i30000
χ272222-2-22222-2-222-2-2220022-2-2-200002-2-2-2-22200000002-2002-20022-2-2000000002-2000000000000002-22-20000
χ282222-2-22222-2-222-2-2220022-2-2-200002-2-2-2-22200000002-2002-20022-2-200000000-2200000000000000-22-220000
χ292222-2-22222-2-222-2-222002-22-2-200002-2-2-2-2220000000-2200-2200-2-2220000002-20000000000002-22-200000000
χ302222-2-22222-2-222-2-222002-22-2-200002-2-2-2-2220000000-2200-2200-2-222000000-22000000000000-22-2200000000
χ312222-2-2-12-12-2-222-2-2-1-100-12-211−i3−i3i3i3-11111-1-1000−i3−i3i3i32-200-11−i3i3-1-111−i3−i3i3i300002-20000000000−i3i3i3−i3-11-110000
χ322222-2-2-12-12-2-222-2-2-1-100-12-211−i3−i3i3i3-11111-1-1000−i3−i3i3i32-200-11−i3i3-1-111−i3−i3i3i30000-220000000000i3−i3−i3i31-11-10000
χ332222-2-2-12-12-2-222-2-2-1-100-12-211i3i3−i3−i3-11111-1-1000i3i3−i3−i32-200-11i3−i3-1-111i3i3−i3−i300002-20000000000i3−i3−i3i3-11-110000
χ342222-2-2-12-12-2-222-2-2-1-100-12-211i3i3−i3−i3-11111-1-1000i3i3−i3−i32-200-11i3−i3-1-111i3i3−i3−i30000-220000000000−i3i3i3−i31-11-10000
χ352222-2-2-12-12-2-222-2-2-1-100-1-2211−i3−i3i3i3-11111-1-1000−i3−i3i3i3-22001-1i3−i311-1-1i3i3−i3−i3002-2000000000000-11-11−i3i3i3−i30000
χ362222-2-2-12-12-2-222-2-2-1-100-1-2211−i3−i3i3i3-11111-1-1000−i3−i3i3i3-22001-1i3−i311-1-1i3i3−i3−i300-220000000000001-11-1i3−i3−i3i30000
χ372222-2-2-12-12-2-222-2-2-1-100-1-2211i3i3−i3−i3-11111-1-1000i3i3−i3−i3-22001-1−i3i311-1-1−i3−i3i3i3002-2000000000000-11-11i3−i3−i3i30000
χ382222-2-2-12-12-2-222-2-2-1-100-1-2211i3i3−i3−i3-11111-1-1000i3i3−i3−i3-22001-1−i3i311-1-1−i3−i3i3i300-220000000000001-11-1−i3i3i3−i30000
χ3922-2-2-222222-2-2-2-222-2-22-22002-22-22-2222-2-2-2-202-22-22-20000000000000000000000000000000000000000−i2i2−i2i2
χ4022-2-2-222222-2-2-2-222-2-22-22002-22-22-2222-2-2-2-202-22-22-20000000000000000000000000000000000000000i2−i2i2−i2
χ4122-2-2-222222-2-2-2-222-2-2-222002-2-22-22222-2-2-2-20-22-22-220000000000000000000000000000000000000000−i2i2i2−i2
χ4222-2-2-222222-2-2-2-222-2-2-222002-2-22-22222-2-2-2-20-22-22-220000000000000000000000000000000000000000i2−i2−i2i2
χ43444444-2-2-2-2-2-2-2-2-2-2-2-244144-2-2-2-2-2-211111114-2-21111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ44444444-2-2-2-2-2-2-2-2-2-2-2-2441-4-4-2-2-2-2-2-21111111-4-2-2111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ45444444-2-2-2-2-2-2-2-2-2-2-2-2-4-4144-2-222221111111-422-1-1-1-1-2-222-2-2221111-1-1-1-10000000000000000000000000000
χ46444444-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-4-2-222221111111422-1-1-1-122-2-222-2-2-1-1-1-111110000000000000000000000000000
χ474444-4-44-24-222-2-2224400-24-4-4-40000-22222-2-20000000-22004-400-2-22200000000000000000000000000000000
χ484444-4-44-24-222-2-2224400-2-44-4-40000-22222-2-200000002-200-440022-2-200000000000000000000000000000000
χ494444-4-4-2-2-2-222-2-222-2-20014-422−2i3−2i32i32i31-1-1-1-111000i3i3−i3−i3-2200-22−2i32i311-1-1i3i3−i3−i30000000000000000000000000000
χ504444-4-4-2-2-2-222-2-222-2-20014-4222i32i3−2i3−2i31-1-1-1-111000−i3−i3i3i3-2200-222i3−2i311-1-1−i3−i3i3i30000000000000000000000000000
χ514444-4-4-2-2-2-222-2-222-2-2001-4422−2i3−2i32i32i31-1-1-1-111000i3i3−i3−i32-2002-22i3−2i3-1-111−i3−i3i3i30000000000000000000000000000
χ524444-4-4-2-2-2-222-2-222-2-2001-44222i32i3−2i3−2i31-1-1-1-111000−i3−i3i3i32-2002-2−2i32i3-1-111i3i3−i3−i30000000000000000000000000000
χ5344-4-44-4444444-4-4-4-4-4-400400-4400004-4-444-4-4000000000000000000000000000000000000000000000000000
χ5444-4-44-44-24-2-2-22222-4-400-200-440000-222-2-22200000000023−230000000023−2323−230000000000000000000000000000
χ5544-4-44-44-24-2-2-22222-4-400-200-440000-222-2-222000000000−232300000000−2323−23230000000000000000000000000000
χ5644-4-44-4-24-2444-4-4-4-42200-2002-2−2i32i32i3−2i3-222-2-222000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ5744-4-44-4-24-2444-4-4-4-42200-2002-22i3−2i3−2i32i3-222-2-2220002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ5844-4-44-4-2-2-2-2-2-2222222001002-2−2i32i32i3−2i31-1-111-1-1000i3−i3−i3i30023−2300003i−3i3i−3i−33−330000000000000000000000000000
χ5944-4-44-4-2-2-2-2-2-2222222001002-2−2i32i32i3−2i31-1-111-1-1000i3−i3−i3i300−23230000−3i3i−3i3i3−33−30000000000000000000000000000
χ6044-4-44-4-2-2-2-2-2-2222222001002-22i3−2i3−2i32i31-1-111-1-1000−i3i3i3−i30023−230000−3i3i−3i3i−33−330000000000000000000000000000
χ6144-4-44-4-2-2-2-2-2-2222222001002-22i3−2i3−2i32i31-1-111-1-1000−i3i3i3−i300−232300003i−3i3i−3i3−33−30000000000000000000000000000
χ6244-4-4-444-24-22222-2-2-4-44-4-2004-44-44-4-2-2-222220-22-22-2200000000000000000000000000000000000000000000
χ6344-4-4-444-24-22222-2-2-4-4-44-2004-4-44-44-2-2-2222202-22-22-200000000000000000000000000000000000000000000
χ6444-4-4-44-24-24-4-4-4-444224-4-200-22-22-22-2-2-2222204-4-22-2200000000000000000000000000000000000000000000
χ6544-4-4-44-24-24-4-4-4-44422-44-200-222-22-2-2-2-222220-442-22-200000000000000000000000000000000000000000000
χ6644-4-4-44-2-2-2-22222-2-2224-4100-22-22-22111-1-1-1-10-221-11-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ6744-4-4-44-2-2-2-22222-2-2224-4100-22-22-22111-1-1-1-10-221-11-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ6844-4-4-44-2-2-2-22222-2-222-44100-222-22-2111-1-1-1-102-2-11-11000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000
χ6944-4-4-44-2-2-2-22222-2-222-44100-222-22-2111-1-1-1-102-2-11-1100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000
χ704-44-40044-4-4004-4004-400400000000-400004-4000000000000000000000002-20000002-22-20000000000000000
χ714-44-40044-4-4004-4004-400400000000-400004-400000000000000000000000-22000000-22-220000000000000000
χ724-44-4004-2-42−2i32i3-22−2i32i34-400-2000000002−2i32i3−2i32i3-22000000000000000000000002-2000000−1−i31+i3−1+i31−i30000000000000000
χ734-44-4004-2-42−2i32i3-22−2i32i34-400-2000000002−2i32i3−2i32i3-2200000000000000000000000-220000001+i3−1−i31−i3−1+i30000000000000000
χ744-44-4004-2-422i3−2i3-222i3−2i34-400-20000000022i3−2i32i3−2i3-22000000000000000000000002-2000000−1+i31−i3−1−i31+i30000000000000000
χ754-44-4004-2-422i3−2i3-222i3−2i34-400-20000000022i3−2i32i3−2i3-2200000000000000000000000-220000001−i3−1+i31+i3−1−i30000000000000000
χ764-4-440044-4-400-4400-4400400000000-40000-44000000000000000000000000000002-200002-22-2000000000000
χ774-4-440044-4-400-4400-4400400000000-40000-4400000000000000000000000000000-220000-22-22000000000000
χ784-4-44004-2-42−2i32i32-22i3−2i3-4400-20000000022i3−2i3−2i32i32-2000000000000000000000000000002-20000−1+i31−i3−1−i31+i3000000000000
χ794-4-44004-2-42−2i32i32-22i3−2i3-4400-20000000022i3−2i3−2i32i32-200000000000000000000000000000-2200001−i3−1+i31+i3−1−i3000000000000
χ804-4-44004-2-422i3−2i32-2−2i32i3-4400-2000000002−2i32i32i3−2i32-2000000000000000000000000000002-20000−1−i31+i3−1+i31−i3000000000000
χ814-4-44004-2-422i3−2i32-2−2i32i3-4400-2000000002−2i32i32i3−2i32-200000000000000000000000000000-2200001+i3−1−i31−i3−1+i3000000000000
χ828-88-800-484-8008-800-4400-40000000040000-44000000000000000000000000000000000000000000000000000
χ838-88-800-4-444−4i34i3-44−4i34i3-4400200000000-22i3−2i32i3−2i32-2000000000000000000000000000000000000000000000000000
χ848-88-800-4-4444i3−4i3-444i3−4i3-4400200000000-2−2i32i3−2i32i32-2000000000000000000000000000000000000000000000000000
χ858-8-8800-484-800-88004-400-400000000400004-4000000000000000000000000000000000000000000000000000
χ868-8-8800-4-444−4i34i34-44i3−4i34-400200000000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000
χ878-8-8800-4-4444i3−4i34-4−4i34i34-400200000000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000

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