Finite Group Databasebeta

← Group #11784973

Character table — Group #11784973

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order1222233444466666622223666666666661212121212121212666666666666666612121212444488881212121212121212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ811111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ9111-1-11111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-1111-1-1-1
χ10111-1-11111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-1-1-1111
χ11111-1-11111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-1-1-1111
χ12111-1-11111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-1111-1-1-1
χ13111-1-11111-1-111-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-1-1-11-111
χ14111-1-11111-1-111-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1111-11-1-1
χ15111-1-11111-1-111-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1111-11-1-1
χ16111-1-11111-1-111-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i1-1-1-11-111
χ172222222-2-2-2-22222220000222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000000000000000000002-200-2200
χ182222222-2-2-2-22222220000222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000-22002-200
χ19222222-122222-122-1-12222-12-12-1-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-100000000
χ20222222-122222-122-1-12222-12-12-1-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000011110000111100000000
χ21222222-122222-122-1-1-2-2-2-2-12-12-1-1-1-1-1-1-1-122-1-12-12-1-2-211-2-21111111111-1-1-1-1002200-2-20000-1-1-1-10000111100000000
χ22222222-122222-122-1-1-2-2-2-2-12-12-1-1-1-1-1-1-1-122-1-12-12-1-2-211-2-21111111111-1-1-1-100-2-20022000011110000-1-1-1-100000000
χ2322222-122222-12-1-1222222-1-12-12-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000000000000
χ2422222-122222-12-1-1222222-1-12-12-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111100001111000000000000
χ2522222-122222-12-1-122-2-2-2-2-1-12-12-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-211111111-1-1-1-12200-2-200-1-1-1-100001111000000000000
χ2622222-122222-12-1-122-2-2-2-2-1-12-12-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-211111111-1-1-1-1-2-200220011110000-1-1-1-1000000000000
χ27222-2-222-2-22222-2-2-2-20000222-2-222-2-2-2-22-2-2-2-222220000000000000000-2-2220000000000000000000000002200-2-200
χ28222-2-222-2-22222-2-2-2-20000222-2-222-2-2-2-22-2-2-2-222220000000000000000-2-222000000000000000000000000-2-2002200
χ29222-2-22-122-2-22-1-2-21122-2-2-12-1-21-1-11111-122-1-1-21-2122-1-1-2-211-1-1-1-11111-1-111002i−2i002i−2i0000−i−iii0000−i−iii00000000
χ30222-2-22-122-2-22-1-2-21122-2-2-12-1-21-1-11111-122-1-1-21-2122-1-1-2-211-1-1-1-11111-1-11100−2i2i00−2i2i0000ii−i−i0000ii−i−i00000000
χ31222-2-22-122-2-22-1-2-211-2-222-12-1-21-1-11111-122-1-1-21-21-2-21122-1-11111-1-1-1-1-1-111002i−2i00−2i2i0000−i−iii0000ii−i−i00000000
χ32222-2-22-122-2-22-1-2-211-2-222-12-1-21-1-11111-122-1-1-21-21-2-21122-1-11111-1-1-1-1-1-11100−2i2i002i−2i0000ii−i−i0000−i−iii00000000
χ33222-2-2-1222-2-2-1211-2-222-2-2-1-121-2-1-11111-1-1-1221-21-2-1-12211-2-2-1-1-1-11111-1-1112i−2i002i−2i00−i−iii0000−i−iii000000000000
χ34222-2-2-1222-2-2-1211-2-222-2-2-1-121-2-1-11111-1-1-1221-21-2-1-12211-2-2-1-1-1-11111-1-111−2i2i00−2i2i00ii−i−i0000ii−i−i000000000000
χ35222-2-2-1222-2-2-1211-2-2-2-222-1-121-2-1-11111-1-1-1221-21-211-2-2-1-1221111-1-1-1-1-1-1112i−2i00−2i2i00−i−iii0000ii−i−i000000000000
χ36222-2-2-1222-2-2-1211-2-2-2-222-1-121-2-1-11111-1-1-1221-21-211-2-2-1-1221111-1-1-1-1-1-111−2i2i002i−2i00ii−i−i0000−i−iii000000000000
χ3722-22-2222-22-22222-2-200002-2-2-22-2-222-2-222-22-22-2-2200000000000000002-22-2000000000000000000000000002-2002-2
χ3822-22-2222-22-22222-2-200002-2-2-22-2-222-2-222-22-22-2-2200000000000000002-22-200000000000000000000000000-2200-22
χ3922-22-222-22-222222-2-22-22-22-2-2-22-2-222-2-22-22-22-222-22-22-22-22-222-2-222-2-2-22-2200000000000000000000000000000000
χ4022-22-222-22-222222-2-2-22-222-2-2-22-2-222-2-22-22-22-222-2-22-22-22-22-2-222-2-222-22-2200000000000000000000000000000000
χ4122-22-22-1-22-222-122112-22-2-1-21-2-111-1-111-1-221-1-2-1212-2-112-2-11-1-111-1-1111-11-10000000000003−33−300003−33−300000000
χ4222-22-22-1-22-222-122112-22-2-1-21-2-111-1-111-1-221-1-2-1212-2-112-2-11-1-111-1-1111-11-1000000000000−33−330000−33−3300000000
χ4322-22-22-1-22-222-12211-22-22-1-21-2-111-1-111-1-221-1-2-121-221-1-221-111-1-111-1-11-11-10000000000003−33−30000−33−3300000000
χ4422-22-22-1-22-222-12211-22-22-1-21-2-111-1-111-1-221-1-2-121-221-1-221-111-1-111-1-11-11-1000000000000−33−3300003−33−300000000
χ4522-22-2-12-22-22-12-1-1-2-22-22-2-11-21211-1-111-11-1-2212-1-2-112-2-112-2-1-111-1-1111-11-100000000−i3i3−i3i30000−i3i3−i3i3000000000000
χ4622-22-2-12-22-22-12-1-1-2-22-22-2-11-21211-1-111-11-1-2212-1-2-112-2-112-2-1-111-1-1111-11-100000000i3−i3i3−i30000i3−i3i3−i3000000000000
χ4722-22-2-12-22-22-12-1-1-2-2-22-22-11-21211-1-111-11-1-2212-1-21-1-221-1-2211-1-111-1-11-11-100000000−i3i3−i3i30000i3−i3i3−i3000000000000
χ4822-22-2-12-22-22-12-1-1-2-2-22-22-11-21211-1-111-11-1-2212-1-21-1-221-1-2211-1-111-1-11-11-100000000i3−i3i3−i30000−i3i3−i3i3000000000000
χ4922-2-22222-2-2222-2-22200002-2-22-2-2-2-2-22222-22-2-222-200000000000000002-2-22000000000000000000000000002-200-22
χ5022-2-22222-2-2222-2-22200002-2-22-2-2-2-2-22222-22-2-222-200000000000000002-2-2200000000000000000000000000-22002-2
χ5122-2-2222-222-222-2-2222-2-222-2-22-2-2-2-2-2222-22-222-2-222-22-2-22-2222-2-2-2-222-222-200000000000000000000000000000000
χ5222-2-2222-222-222-2-222-222-22-2-22-2-2-2-2-2222-22-222-2-22-22-222-22-2-2-22222-2-2-222-200000000000000000000000000000000
χ5322-2-222-1-222-22-1-2-2-1-12-2-22-1-21211111-1-1-1-221-121-2-12-2-11-221-1-1-11111-1-11-1-11000000000000−i3i3i3−i30000−i3i3i3−i300000000
χ5422-2-222-1-222-22-1-2-2-1-12-2-22-1-21211111-1-1-1-221-121-2-12-2-11-221-1-1-11111-1-11-1-11000000000000i3−i3−i3i30000i3−i3−i3i300000000
χ5522-2-222-1-222-22-1-2-2-1-1-222-2-1-21211111-1-1-1-221-121-2-1-221-12-2-1111-1-1-1-1111-1-11000000000000−i3i3i3−i30000i3−i3−i3i300000000
χ5622-2-222-1-222-22-1-2-2-1-1-222-2-1-21211111-1-1-1-221-121-2-1-221-12-2-1111-1-1-1-1111-1-11000000000000i3−i3−i3i30000−i3i3i3−i300000000
χ5722-2-22-12-222-2-1211222-2-22-11-2-1-21111-1-1-11-1-22-1-212-112-21-1-22-1-11111-1-11-1-11000000003−3−3300003−3−33000000000000
χ5822-2-22-12-222-2-1211222-2-22-11-2-1-21111-1-1-11-1-22-1-212-112-21-1-22-1-11111-1-11-1-1100000000−333−30000−333−3000000000000
χ5922-2-22-12-222-2-121122-222-2-11-2-1-21111-1-1-11-1-22-1-2121-1-22-112-211-1-1-1-1111-1-11000000003−3−330000−333−3000000000000
χ6022-2-22-12-222-2-121122-222-2-11-2-1-21111-1-1-11-1-22-1-2121-1-22-112-211-1-1-1-1111-1-1100000000−333−300003−3−33000000000000
χ61444444-2-4-4-4-44-244-2-20000-24-24-2-2-2-2-2-2-2-2-4-422-42-420000000000000000222200000000000000000000000000000000
χ6244444-24-4-4-4-4-24-2-2440000-2-24-24-2-2-2-2-2-2-222-4-42-42-40000000000000000222200000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-244441-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-2-4-4-4-41-2-2-2-21111111-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2-2-200001-2-2-2-2111111122222222000000003-33-33-33-3-1-1-1-100000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2-2-200001-2-2-2-211111112222222200000000-33-33-33-33-1-1-1-100000000000000000000000000000000
χ67444-4-44-2-4-4444-2-4-4220000-24-2-42-2-22222-2-4-4224-24-2000000000000000022-2-200000000000000000000000000000000
χ68444-4-4-24-4-444-2422-4-40000-2-242-4-2-22222-222-4-4-24-24000000000000000022-2-200000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-2222244-4-41-2-22211-1-1-1-11-2-2-2-22222-2-2-2-222221111-1-1-1-111-1-100000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-22222-4-4441-2-22211-1-1-1-11-2-2-2-222222222-2-2-2-2-1-1-1-1111111-1-100000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-2222200001-2-22211-1-1-1-112222-2-2-2-2000000003-33-3-33-33-1-11100000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-2222200001-2-22211-1-1-1-112222-2-2-2-200000000-33-333-33-3-1-11100000000000000000000000000000000
χ7344-44-44-24-44-44-244220000-2-42-4-222-2-222-24-4-2242-4-20000000000000000-22-2200000000000000000000000000000000
χ7444-44-4-244-44-4-24-2-2-4-40000-22-42422-2-222-2-224-4-2-4240000000000000000-22-2200000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-22200001222-2-1-111-1-11-22-22-222-2000000003-3-333-3-331-11-100000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-22200001222-2-1-111-1-11-22-22-222-200000000-333-3-333-31-11-100000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-2224-44-41222-2-1-111-1-112-22-22-2-22-22-22-22-2211-1-111-1-1-11-1100000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-2-2-222-44-441222-2-1-111-1-112-22-22-2-222-22-22-22-2-1-111-1-111-11-1100000000000000000000000000000000
χ7944-4-444-24-4-444-2-4-4-2-20000-2-42422222-2-2-24-4-22-4-2420000000000000000-222-200000000000000000000000000000000
χ8044-4-44-244-4-44-2422440000-22-4-2-42222-2-2-2-224-424-2-40000000000000000-222-200000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-222-2-20000122-22-1-1-1-1111-22-222-2-22000000003-3-33-333-31-1-1100000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-222-2-20000122-22-1-1-1-1111-22-222-2-2200000000-333-33-3-331-1-1100000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-24-4-44122-22-1-1-1-11112-22-2-222-2-22-222-22-211-1-1-1-111-111-100000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-2-444-4122-22-1-1-1-11112-22-2-222-22-22-2-22-22-1-11111-1-1-111-100000000000000000000000000000000
χ858-8000880000-8-80000000080000000000-8000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-8400−4i34i30000-400000000−4i34i34000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-84004i3−4i30000-4000000004i3−4i34000000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-8−4i34i3000000-4000000−4i34i3004000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-84i3−4i3000000-40000004i3−4i3004000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-4000044−4i34i3−4i34i30000200006-62i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000
χ918-8000-4-4000044−4i34i34i3−4i3000020000-662i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000
χ928-8000-4-40000444i3−4i3−4i34i3000020000-66−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000
χ938-8000-4-40000444i3−4i34i3−4i30000200006-6−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000

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