Finite Group Databasebeta

← Group #11865117

Character table — Group #11865117

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666121236666666612121212121212121212126688121224242424242424242424242424242424224444444466881212121212121212121224242424224424
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1
χ911-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-11-11-111-1-11-11-11-11-111-1-111-1-111-1-11-11-11-1
χ1011-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-11-11-1-1-1111-11-1-111-1-1-11111-1-1-1-111-11-11-11
χ1111-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-1-11-1111-1-1-11-111-1-1111-1-1-1-11111-1-1-11-11-11
χ1211-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-1-11-11-1-111-11-11-11-11-1-111-1-111-1-1111-11-11-1
χ1311-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-11111111-11-111-1-1-111-1-111-111-1-1-1-111-1-1111-11-1-11
χ1411-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-11111111-11-1-1-111-111-11-11-1-1-111-1-11111-1-1-11-111-1
χ1511-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-1111111-11-1111-1-11-1-11-11-1111-1-111-1-1-1-111-11-111-1
χ1611-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-1111111-11-11-1-1111-1-111-1-11-1-11111-1-111-1-11-11-1-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-22-2000000002-22-200000000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-22-2200000000-22-2200000000000000
χ19222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222000022-1-100-1-10000-1-1-1-10000000000
χ20222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2110011000011110000000000
χ21222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111122220000-2-2-1-100-1-1000011110000000000
χ22222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-20000221100110000-1-1-1-10000000000
χ2322222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200002200-1-1-1-10000-1-1-1-1000000
χ2422222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-200111100001111000000
χ2522222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000022220000-2-200-1-1-1-100001111000000
χ2622222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20000220011110000-1-1-1-1000000
χ2722222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-211111111-1-1001100003−333−3−33−333−3−300002-22-200000000-11-1100003−33−3000000
χ2822222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-211111111-1-1001100003−333−3−33−333−3−30000-22-22000000001-11-10000−33−33000000
χ2922222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-211111111-1-100110000−33−3−333−33−3−33300002-22-200000000-11-110000−33−33000000
χ3022222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-211111111-1-100110000−33−3−333−33−3−3330000-22-22000000001-11-100003−33−3000000
χ31222-2-2222-22-22222222-2-22-2222-2-22-22-222222-2-2-200-2-2000000000000000000000000000000000000000000002-2-2200
χ32222-2-2222-22-22222222-2-22-2222-2-22-22-222222-2-2-200-2-200000000000000000000000000000000000000000000-222-200
χ33222-2-222-22-222222-2-22-2-22-2222-22-22-22-2-2-2-2-22-2-2002200000000000000002-2-220000002-200-22000000000000000000
χ34222-2-222-22-222222-2-22-2-22-2222-22-22-22-2-2-2-2-22-2-200220000000000000000-222-2000000-22002-2000000000000000000
χ35222-2-22-1-22-2222-1211-1-2-2-11-1-1-11-11-1-2211-21121100-1-13−33−3003−33−3003−33−32-2-22000000-11001-100003−33−30000000000
χ36222-2-22-1-22-2222-1211-1-2-2-11-1-1-11-11-1-2211-21121100-1-13−33−3003−33−3003−33−3-222-20000001-100-110000−33−330000000000
χ37222-2-22-1-22-2222-1211-1-2-2-11-1-1-11-11-1-2211-21121100-1-1−33−3300−33−3300−33−332-2-22000000-11001-10000−33−330000000000
χ38222-2-22-1-22-2222-1211-1-2-2-11-1-1-11-11-1-2211-21121100-1-1−33−3300−33−3300−33−33-222-20000001-100-1100003−33−30000000000
χ3922-22-2222-2-22-2-222-2-22-22-22-2-22-222-22-222-2-2-22-22002-2000000000000000022-2-20000002200-2-2000000000000000000
χ4022-22-2222-2-22-2-222-2-22-22-22-2-22-222-22-222-2-2-22-22002-20000000000000000-2-222000000-2-20022000000000000000000
χ4122-22-222-222-2-2-222222-22-22-2-22-2-2-22-22-2-2222-2-2200-220000000000000000000000000000000000000000000022-2-200
χ4222-22-222-222-2-2-222222-22-22-2-22-2-2-22-22-2-2222-2-2200-2200000000000000000000000000000000000000000000-2-22200
χ4322-22-22-12-2-22-2-2-1211-1-221-111-11-1-112-2-1-1-21121-100-113−3−33003−33−300−33−3322-2-2000000-1-1001100003−3−330000000000
χ4422-22-22-12-2-22-2-2-1211-1-221-111-11-1-112-2-1-1-21121-100-113−3−33003−33−300−33−33-2-2220000001100-1-10000−333−30000000000
χ4522-22-22-12-2-22-2-2-1211-1-221-111-11-1-112-2-1-1-21121-100-11−333−300−33−33003−33−322-2-2000000-1-100110000−333−30000000000
χ4622-22-22-12-2-22-2-2-1211-1-221-111-11-1-112-2-1-1-21121-100-11−333−300−33−33003−33−3-2-2220000001100-1-100003−3−330000000000
χ4722-2-222222-2-2-2-222-2-222-2-2-2-2-222-2222222-2-2-2-22-200-22000000000000000000002-2-22000000002-2-2200000000000000
χ4822-2-222222-2-2-2-222-2-222-2-2-2-2-222-2222222-2-2-2-22-200-2200000000000000000000-222-200000000-222-200000000000000
χ4922-2-222-1-2-222-2-2-12-1-1-12-21111-1-1-111-2-2112-1-12-112-2-11-1-11122-1-1-1-1-2-211112-22-200002-2-1100-110000-1-1110000000000
χ5022-2-222-1-2-222-2-2-12-1-1-12-21111-1-1-111-2-2112-1-12-112-2-11-1-11122-1-1-1-1-2-21111-22-220000-221-1001-1000011-1-10000000000
χ5122-2-222-1-2-222-2-2-12-1-1-12-21111-1-1-111-2-2112-1-12-11-22-1111-1-1-2-2111122-1-1-1-12-22-20000-22-1100-11000011-1-10000000000
χ5222-2-222-1-2-222-2-2-12-1-1-12-21111-1-1-111-2-2112-1-12-11-22-1111-1-1-2-2111122-1-1-1-1-22-2200002-21-1001-10000-1-1110000000000
χ5322-2-22-1222-2-2112-1-2-2-1-11-2-211-12-222-1-1-1-11111-11001-100003−333−3−3−33−3−33300002-2-2200000000-111-100003−3−33000000
χ5422-2-22-1222-2-2112-1-2-2-1-11-2-211-12-222-1-1-1-11111-11001-100003−333−3−3−33−3−3330000-222-2000000001-1-110000−333−3000000
χ5522-2-22-1222-2-2112-1-2-2-1-11-2-211-12-222-1-1-1-11111-11001-10000−33−3−3333−333−3−300002-2-2200000000-111-10000−333−3000000
χ5622-2-22-1222-2-2112-1-2-2-1-11-2-211-12-222-1-1-1-11111-11001-10000−33−3−3333−333−3−30000-222-2000000001-1-1100003−3−33000000
χ5722-2-22-12-2-222112-122-1-11-2-211-122-2-21111-1-1-1-1-112-2-1122-2-2-1-1-1-1-1-1111111000022-2-200002-200-1-1110000-1-111000000
χ5822-2-22-12-2-222112-122-1-11-2-211-122-2-21111-1-1-1-1-112-2-1122-2-2-1-1-1-1-1-11111110000-2-2220000-220011-1-1000011-1-1000000
χ5922-2-22-12-2-222112-122-1-11-2-211-122-2-21111-1-1-1-1-11-22-11-2-222111111-1-1-1-1-1-1000022-2-20000-2200-1-111000011-1-1000000
χ6022-2-22-12-2-222112-122-1-11-2-211-122-2-21111-1-1-1-1-11-22-11-2-222111111-1-1-1-1-1-10000-2-22200002-20011-1-10000-1-111000000
χ61444444-2-4-4-4-444-2422-244-2-2-2-2-2-2222-4-422-422-4-2-2002200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-12-1-121100-1-1000023−23−3−33323−23−3−3330000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-12-1-121100-1-10000−232333−3−3−232333−3−30000000000000000000000000000000000
χ66444-4-44-24-44-444-24-2-2-2-4-4-22-2-2-222-224-4-2-24-2-2-422002200000000000000000000000000000000000000000000000000
χ67444-4-4-244-44-4-2-24-244-2224-4-2-2-2-4-44-4-22-2-2-2-2-2222002200000000000000000000000000000000000000000000000000
χ68444-4-4-24-44-44-2-24-2-4-4-2224-4-2-2-2-44-442-222222-22200-2-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-2122-2211122-22-2211-2112-1-100-1-10000003-3-33003-3-330000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-2122-2211122-22-2211-2112-1-100-1-1000000-333-300-333-30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-2-2-222122-221112-22-22-2-1-12-1-1-2-1-1001123−2323−2300−33−3300−33−330000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-2-2-222122-221112-22-22-2-1-12-1-1-2-1-10011−2323−2323003−33−3003−33−30000000000000000000000000000000000
χ7344-44-44-2-444-4-4-4-24-2-2-2-442-222-2222-2-44224-2-2-42-2002-200000000000000000000000000000000000000000000000000
χ7444-44-4-244-4-44224-2-4-4-22-2-4422-2-444-4-22-2-2222-22-200-2200000000000000000000000000000000000000000000000000
χ7544-44-4-24-444-4224-244-22-2-4422-2-4-4-442-222-2-2-222-2002-200000000000000000000000000000000000000000000000000
χ7644-44-4-2-24-4-4422-2-22212-22-2-1-112-2-22-22112-1-1-2-11001-123−23−232300−33−33003−33−30000000000000000000000000000000000
χ7744-44-4-2-24-4-4422-2-22212-22-2-1-112-2-22-22112-1-1-2-11001-1−232323−23003−33−300−33−330000000000000000000000000000000000
χ7844-44-4-2-2-444-422-2-2-2-212-22-2-1-11222-22-2-1-1-2112-1100-110000003-3-3300-333-30000000000000000000000000000000000
χ7944-44-4-2-2-444-422-2-2-2-212-22-2-1-11222-22-2-1-1-2112-1100-11000000-333-3003-3-330000000000000000000000000000000000
χ8044-4-444-244-4-4-4-4-2422-24-42222-2-22-2-244-2-2-422-4-22002-200000000000000000000000000000000000000000000000000
χ8144-4-44-2-244-4-422-2-2221-2222-1-11-22-2-2-2-2112-1-121-100-11000023−23−3−333−232333−3−30000000000000000000000000000000000
χ8244-4-44-2-244-4-422-2-2221-2222-1-11-22-2-2-2-2112-1-121-100-110000−232333−3−323−23−3−3330000000000000000000000000000000000
χ8344-4-44-2-2-4-44422-2-2-2-21-2222-1-11-2-22222-1-1-211-21-14-41-1-2-222-2-2111122-1-1-1-10000000000000000000000000000000000
χ8444-4-44-2-2-4-44422-2-2-2-21-2222-1-11-2-22222-1-1-211-21-1-441-122-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ858-800088000000-8-8008000000-800000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000004-843−43-4000000400000000043−43000000000000000000000000000000000000000000000000000000000
χ878-80008-40000004-8−4343-40000004000000000−4343000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3-8400-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3-8400-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−43200002i3−2i3-20000006i−6i0−2323000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−4343200002i3−2i3-2000000−6i6i023−23000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−4320000−2i32i3-2000000−6i6i0−2323000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−434320000−2i32i3-20000006i−6i023−23000000000000000000000000000000000000000000000000000000000

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