Finite Group Databasebeta

← Group #11868127

Character table — Group #11868127

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466121212123666666666121212121212121212126688121224242424242424242424242424242424888888882466881212242424242424242424242424224422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ9111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1111111-11-11-111-1-1111111-1-1-1-1-1-111-1-111-1-11-1111-1-1-111-1-111-1-111-1-11-11-11-1
χ10111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1111111-11-11-111-1-1111111-1-1-1-1-1-111-1-1-1-1111-111-11-1-1-1-11111-1-1-1-111-11-11-11
χ11111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1111111-11-11-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-1-11-11111-1-1-1-11111-1-1-11-11-11
χ12111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1111111-11-11-111-1-1111111-1-1-1-1-1-1-1-111-1-111-11-1-1-1111-1-111-1-111-1-1111-11-11-1
χ13111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-111111111-1-111-1-1-11-1-1-1111-1-11111-1-111-1-11-11-1-11
χ14111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11-1-11-11111-1-111-1-1-1-111-11-111-1
χ15111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-1111111-1-11111-1-11-111-11-1-1-1-111-1-11111-1-1-11-111-1
χ16111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-1111111-1-111-1-1111-1111-1-1-111-1-1-1-111-1-1111-11-1-11
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ19222222-122222-1-1-122-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-100-1-10000-1-1-1-10000000000
χ20222222-122222-1-1-122-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2110011000011110000000000
χ21222222-122222-1-1-122-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-211111111111122220000-2-21100110000-1-1-1-10000000000
χ22222222-122222-1-1-122-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-2000022-1-100-1-1000011110000000000
χ23222222-1-2-2-2-22-111-2-2-1222-1-1-1-1-1-1-2-2111111-21-1-100110000333−3−3−3333−3−3−32i−2i2i−2i000000−i3i300−i3i30000−ii−ii0000000000
χ24222222-1-2-2-2-22-111-2-2-1222-1-1-1-1-1-1-2-2111111-21-1-100110000333−3−3−3333−3−3−3−2i2i−2i2i000000i3−i300i3−i30000i−ii−i0000000000
χ25222222-1-2-2-2-22-111-2-2-1222-1-1-1-1-1-1-2-2111111-21-1-100110000−3−3−3333−3−3−33332i−2i2i−2i000000i3−i300i3−i30000−ii−ii0000000000
χ26222222-1-2-2-2-22-111-2-2-1222-1-1-1-1-1-1-2-2111111-21-1-100110000−3−3−3333−3−3−3333−2i2i−2i2i000000−i3i300−i3i30000i−ii−i0000000000
χ2722222-122222-1222-1-1-1-1-1-1222-1-1-1-1-12-1-12-1-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-10000222200002200-1-1-1-10000-1-1-1-1000000
χ2822222-122222-1222-1-1-1-1-1-1222-1-1-1-1-12-1-12-1-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-10000-2-2-2-20000-2-200111100001111000000
χ2922222-122222-1222-1-1-1-1-1-1222-1-1-1-1-12-1-12-1-1-12-1-1-2-2-1-11111-211-211-211-211000022220000-2-20011110000-1-1-1-1000000
χ3022222-122222-1222-1-1-1-1-1-1222-1-1-1-1-12-1-12-1-1-12-1-1-2-2-1-11111-211-211-211-2110000-2-2-2-200002200-1-1-1-100001111000000
χ31222-2-22222-2-22222-2-222-2-22-2-2-2-2222222-2-2-2-2-22-200-2200000000000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ32222-2-22222-2-22222-2-222-2-22-2-2-2-2222222-2-2-2-2-22-200-220000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ33222-2-22-122-2-22-1-1-1-2-2-12-2-2-11111-122-1-1-1111-21-11001-10000333−3−3−3−3−3−33332i−2i−2i2i000000−i3i300i3−i30000−iii−i0000000000
χ34222-2-22-122-2-22-1-1-1-2-2-12-2-2-11111-122-1-1-1111-21-11001-10000333−3−3−3−3−3−3333−2i2i2i−2i000000i3−i300−i3i30000i−i−ii0000000000
χ35222-2-22-122-2-22-1-1-1-2-2-12-2-2-11111-122-1-1-1111-21-11001-10000−3−3−3333333−3−3−32i−2i−2i2i000000i3−i300−i3i30000−iii−i0000000000
χ36222-2-22-122-2-22-1-1-1-2-2-12-2-2-11111-122-1-1-1111-21-11001-10000−3−3−3333333−3−3−3−2i2i2i−2i000000−i3i300i3−i30000i−i−ii0000000000
χ37222-2-22-1-2-2222-11122-12-2-2-11111-1-2-2111-1-1-12-1-112-2-1122-2-2-1-1-1-1-1-111111122-2-200002-2-1-100110000-1-1110000000000
χ38222-2-22-1-2-2222-11122-12-2-2-11111-1-2-2111-1-1-12-1-112-2-1122-2-2-1-1-1-1-1-1111111-2-2220000-221100-1-1000011-1-10000000000
χ39222-2-22-1-2-2222-11122-12-2-2-11111-1-2-2111-1-1-12-1-11-22-11-2-222111111-1-1-1-1-1-122-2-20000-221100-1-10000-1-1110000000000
χ40222-2-22-1-2-2222-11122-12-2-2-11111-1-2-2111-1-1-12-1-11-22-11-2-222111111-1-1-1-1-1-1-2-22200002-2-1-10011000011-1-10000000000
χ41222-2-2-12-2-222-12-2-2-1-1-1-1112-2-211-111-2112-1-1-12-112-2-11-1-1112-1-12-1-1-211-211000022-2-200002-200-1-1110000-1-111000000
χ42222-2-2-12-2-222-12-2-2-1-1-1-1112-2-211-111-2112-1-1-12-112-2-11-1-1112-1-12-1-1-211-2110000-2-2220000-220011-1-1000011-1-1000000
χ43222-2-2-12-2-222-12-2-2-1-1-1-1112-2-211-111-2112-1-1-12-11-22-1111-1-1-211-2112-1-12-1-1000022-2-20000-220011-1-10000-1-111000000
χ44222-2-2-12-2-222-12-2-2-1-1-1-1112-2-211-111-2112-1-1-12-11-22-1111-1-1-211-2112-1-12-1-10000-2-22200002-200-1-111000011-1-1000000
χ4522-22-2222-22-22222222-22-2-22-22222-2-222222-2-2-2-200-2-20000000000000000000000000000000000000000000022-2-200
χ4622-22-2222-22-22222222-22-2-22-22222-2-222222-2-2-2-200-2-200000000000000000000000000000000000000000000-2-22200
χ4722-22-222-22-2222-2-2-2-22-22-2-22-2222-222-2-2-2-2-222-2-20022000000000000000000002-22-200000000000000002-22-2000000
χ4822-22-222-22-2222-2-2-2-22-22-2-22-2222-222-2-2-2-2-222-2-2002200000000000000000000-22-220000000000000000-22-22000000
χ4922-22-2-12-22-22-12-2-211-11-11-22-2-1-1-11-1211-211-121100-1-13−33−303−303−303−303−300002-22-2000000003−33−30000-11-11000000
χ5022-22-2-12-22-22-12-2-211-11-11-22-2-1-1-11-1211-211-121100-1-13−33−303−303−303−303−30000-22-2200000000−33−3300001-11-1000000
χ5122-22-2-12-22-22-12-2-211-11-11-22-2-1-1-11-1211-211-121100-1-1−33−330−330−330−330−3300002-22-200000000−33−330000-11-11000000
χ5222-22-2-12-22-22-12-2-211-11-11-22-2-1-1-11-1211-211-121100-1-1−33−330−330−330−330−330000-22-22000000003−33−300001-11-1000000
χ5322-2-22222-2-222222-2-22-2-22-2-22-2-222-2-222-2-2-222-22002-2000000000000000000002-2-2200000000000000002-2-22000000
χ5422-2-22222-2-222222-2-22-2-22-2-22-2-222-2-222-2-2-222-22002-200000000000000000000-222-20000000000000000-222-2000000
χ5522-2-2222-222-222-2-2222-2-22-2-22-2-22-222-2-2222-2-2-2200-22000000000000000000000000000000000000000000002-2-2200
χ5622-2-2222-222-222-2-2222-2-22-2-22-2-22-222-2-2222-2-2-2200-2200000000000000000000000000000000000000000000-222-200
χ5722-2-22-122-2-22-122211-111-1-2-2211-1-11-2-1-1-211-121-100-113−3−3303−303−30−330−3300002-2-22000000003−3−330000-111-1000000
χ5822-2-22-122-2-22-122211-111-1-2-2211-1-11-2-1-1-211-121-100-113−3−3303−303−30−330−330000-222-200000000−333−300001-1-11000000
χ5922-2-22-122-2-22-122211-111-1-2-2211-1-11-2-1-1-211-121-100-11−333−30−330−3303−303−300002-2-2200000000−333−30000-111-1000000
χ6022-2-22-122-2-22-122211-111-1-2-2211-1-11-2-1-1-211-121-100-11−333−30−330−3303−303−30000-222-2000000003−3−3300001-1-11000000
χ6144444-24-4-4-4-4-24-4-422-2-2-2-2444-2-2-222-422-4222-4-2-2002200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-211-211-2-2114411-2-2-2-2-211-211-211-2110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-211-211-2-211-4-41122222-1-12-1-12-1-12-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-222221-2-2-2-2-2-2111222-1-12-1-1221100-1-1000023−3−3−233323−3−3−23330000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2-2-2-2111222-1-12-1-1221100-1-10000−233323−3−3−233323−3−30000000000000000000000000000000000
χ66444-4-4-2444-4-4-244422-2-2224-4-422-2-2-24-2-2-4222-4-22002-200000000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2221-222-222-1-11-2-2-2112-1-1221-100-11000023−3−3−2333−233323−3−30000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2221-222-222-1-11-2-2-2112-1-1221-100-110000−233323−3−323−3−3−23330000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-222-2-21-222-222-1-11222-1-1-211-2-21-14-41-1-2-222-211-2112-1-12-1-10000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-222-2-21-222-222-1-11222-1-1-211-2-21-1-441-122-2-22-1-12-1-1-211-2110000000000000000000000000000000000
χ7144-44-44-24-44-44-2-2-244-2-44-42-22-2-2-24-42-2-2-2-2-2-4222002200000000000000000000000000000000000000000000000000
χ7244-44-44-2-44-444-222-4-4-2-44-42-22-2-2-2-44-2222224-22200-2-200000000000000000000000000000000000000000000000000
χ7344-44-4-244-44-4-2444-2-2-22-22-44-4-2-2-2-22-4-2-24-2-22-422002200000000000000000000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-2-2-2-2-212-222-22111-22211-21122-1-100-1-1000003-30-3303-30-330000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-2-2-212-222-22111-22211-21122-1-100-1-100000-3303-30-3303-30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-2222212-222-221112-2-2-1-12-1-1-2-2-1-1001123−2323−230−330−330−330−330000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2222212-222-221112-2-2-1-12-1-1-2-2-1-10011−2323−232303−303−303−303−30000000000000000000000000000000000
χ7844-4-444-24-4-444-2-2-2-4-4-2-4-4422-222-24-42-2-22224-22-200-2200000000000000000000000000000000000000000000000000
χ7944-4-444-2-444-44-22244-2-4-4422-222-2-44-222-2-2-2-422-2002-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-24-4-4-2-2-222-2-4-4422-22-24224-2-22-42-2002-200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-222122-222-2-1-11-222112-1-1-2-2-11001-123−23−23230−330−3303−303−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-222122-222-2-1-11-222112-1-1-2-2-11001-1−232323−2303−303−30−330−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-2122-222-2-1-112-2-2-1-1-21122-1100-11000003-30-330-3303-30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-2122-222-2-1-112-2-2-1-1-21122-1100-1100000-3303-303-30-330000000000000000000000000000000000
χ858-8000880000-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-8443−4300-400000000400043−430000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-84−434300-4000000004000−43430000000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-80043−43-400000000400000043−430000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-800−4343-4000000004000000−43430000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−4320000006-6-2000−23230−23230000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−43432000000-66-2000−2323023−230000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−432000000-66-200023−230−23230000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−434320000006-6-200023−23023−230000000000000000000000000000000000000000000000000000000000

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