Finite Group Databasebeta

← Group #11785906

Character table — Group #11785906

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222222233666666366666666666666666664466661212121212121212121212121212121244444444444412121212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1-11-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1i−ii−iii−i−i11-1-111-1-1ii−i−i11-1-1i−i
χ101111-1-1-11-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-111i−i−iiii−i−i11-1-1-1-111−i−iii-1-111−ii
χ111111-1-1-11-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-11111-1-1−iii−i−i−iii-1-11111-1-1ii−i−i-1-111−ii
χ121111-1-1-11-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111-1-111−ii−ii−i−iii-1-111-1-111−i−iii11-1-1i−i
χ131111-1-1-11-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1−ii−ii−i−iii11-1-111-1-1−i−iii11-1-1−ii
χ141111-1-1-11-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-111−iii−i−i−iii11-1-1-1-111ii−i−i-1-111i−i
χ151111-1-1-11-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-1-11111-1-1i−i−iiii−i−i-1-11111-1-1−i−iii-1-111i−i
χ161111-1-1-11-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-1-111-1-111i−ii−iii−i−i-1-111-1-111ii−i−i11-1-1−ii
χ172222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ182222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ192222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12-12-2-2-1-1-1-1-2-2-2-211111111111122220000-2-2001111-1-1-1-100000000000000
χ202222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12-12-2-2-1-1-1-1-2-2-2-2111111111111-2-2-2-200002200-1-1-1-1111100000000000000
χ21222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ22222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ23222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-12-1-1-12-1-2-2-1-1-1-11111-2-21111-2-211110000222200-2-200000000-1-1-1-11111000000
χ24222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-12-1-1-12-1-2-2-1-1-1-11111-2-21111-2-211110000-2-2-2-20022000000001111-1-1-1-1000000
χ252222-2-2-22-22-12-1-2-211-122-1-1-2-211-1-1-1111112-1-22i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii22-2-200002i−2i00−i−iii-1-11100000000000000
χ262222-2-2-22-22-12-1-2-211-122-1-1-2-211-1-1-1111112-1-22i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii-2-2220000−2i2i00ii−i−i11-1-100000000000000
χ272222-2-2-22-22-12-1-2-211-122-1-1-2-211-1-1-1111112-1-2−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i22-2-20000−2i2i00ii−i−i-1-11100000000000000
χ282222-2-2-22-22-12-1-2-211-122-1-1-2-211-1-1-1111112-1-2−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i-2-22200002i−2i00−i−iii11-1-100000000000000
χ292222-2-2-22-2-12-1211-2-2-1-1-12211-2-2-1-1-111-211-1212i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii000022-2-2002i−2i00000000-1-111−i−iii000000
χ302222-2-2-22-2-12-1211-2-2-1-1-12211-2-2-1-1-111-211-1212i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii0000-2-22200−2i2i0000000011-1-1ii−i−i000000
χ312222-2-2-22-2-12-1211-2-2-1-1-12211-2-2-1-1-111-211-121−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i000022-2-200−2i2i00000000-1-111ii−i−i000000
χ322222-2-2-22-2-12-1211-2-2-1-1-12211-2-2-1-1-111-211-121−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i0000-2-222002i−2i0000000011-1-1−i−iii000000
χ33222-222-2-2-22222222222-22-22-2-2-222222222-2-2-200-2-2-2-2000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ34222-222-2-2-22222222222-22-22-2-2-222222222-2-2-200-2-2-2-200000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ35222-222-2-2-2-12-12-1-122-1-112-2-11-2-2-1-1-1-1-12-1-11-21001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ36222-222-2-2-2-12-12-1-122-1-112-2-11-2-2-1-1-1-1-12-1-11-21001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ37222-222-2-2-2-12-12-1-122-1-112-2-11-2-2-1-1-1-1-12-1-11-21001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ38222-222-2-2-2-12-12-1-122-1-112-2-11-2-2-1-1-1-1-12-1-11-21001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ39222-2-2-22-222222-2-2-2-222-22-2-2222222-2-2-2-2-2-2-2200-2-222000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ40222-2-2-22-222222-2-2-2-222-22-2-2222222-2-2-2-2-2-2-2200-2-22200000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ41222-2-2-22-22-12-1211-2-2-1-112-21-122-1-1-111-2111-2-10011-1-13−3−330033−3−300−3−33300002i−2i−2i2i000000000000−iii−ii3−i3−i3i3000000
χ42222-2-2-22-22-12-1211-2-2-1-112-21-122-1-1-111-2111-2-10011-1-13−3−330033−3−300−3−3330000−2i2i2i−2i000000000000i−i−ii−i3i3i3−i3000000
χ43222-2-2-22-22-12-1211-2-2-1-112-21-122-1-1-111-2111-2-10011-1-1−333−300−3−3330033−3−300002i−2i−2i2i000000000000−iii−i−i3i3i3−i3000000
χ44222-2-2-22-22-12-1211-2-2-1-112-21-122-1-1-111-2111-2-10011-1-1−333−300−3−3330033−3−30000−2i2i2i−2i000000000000i−i−iii3−i3−i3i3000000
χ4522-222-22-2-2222222-2-22-22-22-2-22-22-2-2-2-2222-2-22002-22-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ4622-222-22-2-2222222-2-22-22-22-2-22-22-2-2-2-2222-2-22002-22-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ4722-222-22-2-22-12-12211-1-221-1-2-2-11-11111-1-1-1-21200-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i−2i2i−2i000000003−33−3−ii−ii00000000000000
χ4822-222-22-2-22-12-12211-1-221-1-2-2-11-11111-1-1-1-21200-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−2i2i−2i2i00000000−33−33i−ii−i00000000000000
χ4922-222-22-2-22-12-12211-1-221-1-2-2-11-11111-1-1-1-21200-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32i−2i2i−2i00000000−33−33−ii−ii00000000000000
χ5022-222-22-2-22-12-12211-1-221-1-2-2-11-11111-1-1-1-21200-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i000000003−33−3i−ii−i00000000000000
χ5122-22-22-2-222222-2-2222-22-2222-222-2-222-2-2-2-2-2-2002-2-2200000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000000000
χ5222-22-22-2-222222-2-2222-22-2222-222-2-222-2-2-2-2-2-2002-2-220000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00000000000000
χ5322-22-22-2-222-12-1-2-2-1-1-1-221-1221-1-111-1-1111-21-200-111-100003−33−33−3−33−33−332i−2i−2i2i00000000i3−i3−i3i3−iii−i00000000000000
χ5422-22-22-2-222-12-1-2-2-1-1-1-221-1221-1-111-1-1111-21-200-111-100003−33−33−3−33−33−33−2i2i2i−2i00000000−i3i3i3−i3i−i−ii00000000000000
χ5522-22-22-2-222-12-1-2-2-1-1-1-221-1221-1-111-1-1111-21-200-111-10000−33−33−333−33−33−32i−2i−2i2i00000000−i3i3i3−i3−iii−i00000000000000
χ5622-22-22-2-222-12-1-2-2-1-1-1-221-1221-1-111-1-1111-21-200-111-10000−33−33−333−33−33−3−2i2i2i−2i00000000i3−i3−i3i3i−i−ii00000000000000
χ5722-2-22-2-222222222-2-22-2-2-2-2-22-222-2-2-2-222222-200-22-22000000000000000000000000000000000000000000002-22-200
χ5822-2-22-2-222222222-2-22-2-2-2-2-22-222-2-2-2-222222-200-22-2200000000000000000000000000000000000000000000-22-2200
χ5922-2-2-2222-22222-2-2222-2-2-2-22-22-22-2-222-2-2-222200-222-2000000000000000000000000000000000000000000002-2-2200
χ6022-2-2-2222-22222-2-2222-2-2-2-22-22-22-2-222-2-2-222200-222-200000000000000000000000000000000000000000000-222-200
χ61444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-2-2441111-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-2-2-4-41111222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ634444-4-4-44-4-2-2-2-222221-2-2-2-22222111-1-12-1-1-2-224i−4i11-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ644444-4-4-44-4-2-2-2-222221-2-2-2-22222111-1-12-1-1-2-22−4i4i11-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ65444-444-4-4-44-24-244-2-2-24-4-224-422-2-2-2-2-2-2-2-2-42-400222200000000000000000000000000000000000000000000000000
χ66444-444-4-4-4-2-2-2-2-2-2-2-21-22-22-222211111-21122200-1-1-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ67444-444-4-4-4-2-2-2-2-2-2-2-21-22-22-222211111-21122200-1-1-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ68444-4-4-44-444-24-2-4-422-24-4-22-44-2-2-2-2-222222-4240022-2-200000000000000000000000000000000000000000000000000
χ69444-4-4-44-44-2-2-2-222221-22-222-2-2-2111-1-12-1-122-200-1-11123−23−232300−3−3330033−3−30000000000000000000000000000000000
χ70444-4-4-44-44-2-2-2-222221-22-222-2-2-2111-1-12-1-122-200-1-111−232323−230033−3−300−3−3330000000000000000000000000000000000
χ7144-444-44-4-4-24-24-2-2-4-4-22-2-44224-4-222224-2-22-4-200-22-2200000000000000000000000000000000000000000000000000
χ7244-444-44-4-4-2-2-2-2-2-22212-22-222-221-1-1-1-1-21122-2001-11-10000−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ7344-444-44-4-4-2-2-2-2-2-22212-22-222-221-1-1-1-1-21122-2001-11-100002i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ7444-44-44-4-44-24-242244-22-2-44-2-2-44-222-2-2-4222-4200-222-200000000000000000000000000000000000000000000000000
χ7544-44-44-4-44-2-2-2-222-2-212-22-2-2-22-21-1-1112-1-1222001-1-11000023−23−33−33−23233−33−30000000000000000000000000000000000
χ7644-44-44-4-44-2-2-2-222-2-212-22-2-2-22-21-1-1112-1-1222001-1-110000−23233−33−323−23−33−330000000000000000000000000000000000
χ7744-4-44-4-4444-24-24422-2-4-422-442-2-22222-2-2-24-2-4002-22-200000000000000000000000000000000000000000000000000
χ7844-4-44-4-444-24-24-2-2-4-4-222-4-42-2-44-222224-2-2-242002-22-200000000000000000000000000000000000000000000000000
χ7944-4-44-4-444-2-2-2-2-2-222122222-22-21-1-1-1-1-211-2-2200-11-110000003-3-33003-3-330000000000000000000000000000000000
χ8044-4-44-4-444-2-2-2-2-2-222122222-22-21-1-1-1-1-211-2-2200-11-11000000-333-300-333-30000000000000000000000000000000000
χ8144-4-4-4444-44-24-2-4-4-2-2-2-4-4224-4-22-222-2-22224-24002-2-2200000000000000000000000000000000000000000000000000
χ8244-4-4-4444-4-24-242244-222-4-4-224-4-222-2-2-422-24-2002-2-2200000000000000000000000000000000000000000000000000
χ8344-4-4-4444-4-2-2-2-222-2-212222-22-221-1-1112-1-1-2-2-200-111-10000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ8444-4-4-4444-4-2-2-2-222-2-212222-22-221-1-1112-1-1-2-2-200-111-1000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ858-8000000088-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ868-800000008-4-8400−4i34i3-400000000400−4i34i300000000000000000000000000000000000000000000000000000000000000
χ878-800000008-4-84004i3−4i3-4000000004004i3−4i300000000000000000000000000000000000000000000000000000000000000
χ888-80000000-484-8−4i34i300-400000000400000−4i34i300000000000000000000000000000000000000000000000000000000000
χ898-80000000-484-84i3−4i300-4000000004000004i3−4i300000000000000000000000000000000000000000000000000000000000
χ908-80000000-4-444−4i34i3−4i34i3200000000-26-62i3−2i302i3−2i300000000000000000000000000000000000000000000000000000000000
χ918-80000000-4-444−4i34i34i3−4i3200000000-2-66−2i32i302i3−2i300000000000000000000000000000000000000000000000000000000000
χ928-80000000-4-4444i3−4i3−4i34i3200000000-2-662i3−2i30−2i32i300000000000000000000000000000000000000000000000000000000000
χ938-80000000-4-4444i3−4i34i3−4i3200000000-26-6−2i32i30−2i32i300000000000000000000000000000000000000000000000000000000000

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