Finite Group Databasebeta

← Group #11785559

Character table — Group #11785559

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order124422233444666612121212121236666666612121212121212121288886688121224242424242424242424242424242424224488242424242424242444668812121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1
χ911-1-11-1-1111-111111-1-1-1-1-1-11-1-11-1111-1111-1-1-1-1-1111-1-1-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i1-11-11-11111-1-1-1-1i−i1-1i−i1-1ii−i−iii−i−i11-1-1i−i
χ1011-1-11-1-1111-111111-1-1-1-1-1-11-1-11-1111-1111-1-1-1-1-1111-1-1-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i-11-111-11111-1-1-1-1−ii-11i−i-11−i−iiiii−i−i-1-111−ii
χ1111-1-11-1-1111-111111-1-1-1-1-1-11-1-11-1111-1111-1-1-1-1-1111-1-1-1-1−ii11−i−iii−i−iii−i−i−i−iiiii1-11-11-11111-1-1-1-1−ii1-1−ii1-1−i−iii−i−iii11-1-1−ii
χ1211-1-11-1-1111-111111-1-1-1-1-1-11-1-11-1111-1111-1-1-1-1-1111-1-1-1-1−ii11−i−iii−i−iii−i−i−i−iiiii-11-111-11111-1-1-1-1i−i-11−ii-11ii−i−i−i−iii-1-111i−i
χ1311-1-11-1-1111-111111-1-1-1-1-1-11-1-11-1111-1111-1-1-1-1-11-1-111-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i1-11-1-11-1-1-1-11111i−i1-1−ii1-1ii−i−i−i−iii-1-111−ii
χ1411-1-11-1-1111-111111-1-1-1-1-1-11-1-11-1111-1111-1-1-1-1-11-1-111-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i-11-11-11-1-1-1-11111−ii-11−ii-11−i−iii−i−iii11-1-1i−i
χ1511-1-11-1-1111-111111-1-1-1-1-1-11-1-11-1111-1111-1-1-1-1-11-1-111-1-1−ii11−i−iii−i−iii−i−i−i−iiiii1-11-1-11-1-1-1-11111−ii1-1i−i1-1−i−iiiii−i−i-1-111i−i
χ1611-1-11-1-1111-111111-1-1-1-1-1-11-1-11-1111-1111-1-1-1-1-11-1-111-1-1−ii11−i−iii−i−iii−i−i−i−iiiii-11-11-11-1-1-1-11111i−i-11i−i-11ii−i−iii−i−i11-1-1−ii
χ1722222222-1222222-122-1-122-122-1-1-1-1-1-12-1-1-1-1-1-1-120000-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000000022-1-100-1-1-1-1-1-10000000000
χ1822222222-1222222-122-1-122-122-1-1-1-1-1-12-1-1-1-1-1-1-120000-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-211001111110000000000
χ1922222222-1222222-122-1-122-122-1-1-1-1-1-12-1-1-1-1-1-1-120000-1-1-2-2-1-11111-2-2-2-21111111122220000000000-2-2-1-100-1-111110000000000
χ2022222222-1222222-122-1-122-122-1-1-1-1-1-12-1-1-1-1-1-1-120000-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-2000000000022110011-1-1-1-10000000000
χ212222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1222-1-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000022000000-1-1-1-1000000
χ222222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1222-1-1-1-1-12222-1-1-2-2-1-1-2-2-2-2111111111111000022-1-1-1-1-1-1-1-10000-2-20000001111000000
χ232222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1222-1-1-1-1-1-2-2-2-2-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2111111110000-2-20000001111000000
χ242222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1222-1-1-1-1-1-2-2-2-2-1-1-2-2-1-1-2-2-2-21111111111110000-2-211111111000022000000-1-1-1-1000000
χ2522222-2-222-22-222222222222-2-22-2222-2-2-2-222222-20000-2-200-2-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ2622222-2-222-22-222222222222-2-22-2222-2-2-2-222222-20000-2-200-2-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ272222-22-222-2-22-2-222-2-2222222-2-22-2-22-2-22-2-2-2-222222222-2002-200000000000000000000-2-222-2-222-2-20000000000000000000000
χ282222-22-222-2-22-2-222-2-2222222-2-22-2-22-2-22-2-2-2-2222-2-2-2-22-2002-20000000000000000000022-2-222-2-2220000000000000000000000
χ292222-22-2-12-2-2211-121122-1-1-1-11-2211-1-212-2-211-1-1-12222-1100-110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000-2-2-1-111-1-111000000000000−i3i3−i3i3000000
χ302222-22-2-12-2-2211-121122-1-1-1-11-2211-1-212-2-211-1-1-12222-1100-110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000-2-2-1-111-1-111000000000000i3−i3i3−i3000000
χ312222-22-2-12-2-2211-121122-1-1-1-11-2211-1-212-2-211-1-1-1-2-2-2-2-1100-110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300002211-1-111-1-1000000000000i3−i3i3−i3000000
χ322222-22-2-12-2-2211-121122-1-1-1-11-2211-1-212-2-211-1-1-1-2-2-2-2-1100-110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300002211-1-111-1-1000000000000−i3i3−i3i3000000
χ332222-2-22222-2-2-2-222-2-222222-22-2-2-2-2222-22-2-2-222-20000-2200-2200000000000000002-2-220000000000002-200-2200000000000000
χ342222-2-22222-2-2-2-222-2-222222-22-2-2-2-2222-22-2-2-222-20000-2200-220000000000000000-222-2000000000000-22002-200000000000000
χ352222-2-222-12-2-2-2-22-1-2-2-1-122-1-221111-1-121-1111-1-1-200001-1001-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i32-2-22000000000000-11001-1−i3i3−i3i30000000000
χ362222-2-222-12-2-2-2-22-1-2-2-1-122-1-221111-1-121-1111-1-1-200001-1001-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-222-20000000000001-100-11i3−i3i3−i30000000000
χ372222-2-222-12-2-2-2-22-1-2-2-1-122-1-221111-1-121-1111-1-1-200001-1001-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32-2-22000000000000-11001-1i3−i3i3−i30000000000
χ382222-2-222-12-2-2-2-22-1-2-2-1-122-1-221111-1-121-1111-1-1-200001-1001-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-222-20000000000001-100-11−i3i3−i3i30000000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-200000000000000000000000000000000000000000000002i−2i−2i2i00
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-20000000000000000000000000000000000000000000000−2i2i2i−2i00
χ4122-2-22-2-22-12-22222-1-2-211-2-2-1-2-2-11-1-1-112-1-11111120000112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii2-22-200000000002i−2i-1100-11−i−iii0000000000
χ4222-2-22-2-22-12-22222-1-2-211-2-2-1-2-2-11-1-1-112-1-11111120000112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii-22-220000000000−2i2i1-1001-1ii−i−i0000000000
χ4322-2-22-2-22-12-22222-1-2-211-2-2-1-2-2-11-1-1-112-1-1111112000011−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i2-22-20000000000−2i2i-1100-11ii−i−i0000000000
χ4422-2-22-2-22-12-22222-1-2-211-2-2-1-2-2-11-1-1-112-1-1111112000011−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i-22-2200000000002i−2i1-1001-1−i−iii0000000000
χ4522-2-22-2-2-122-22-1-1-1211-2-211-1112-2-1-1-1-2-122-21111-122-2-2112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii00002-2-1-1-1-1111100002i−2i000000−i−iii000000
χ4622-2-22-2-2-122-22-1-1-1211-2-211-1112-2-1-1-1-2-122-21111-122-2-211−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i00002-2-1-1-1-111110000−2i2i000000ii−i−i000000
χ4722-2-22-2-2-122-22-1-1-1211-2-211-1112-2-1-1-1-2-122-21111-1-2-222112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii0000-221111-1-1-1-10000−2i2i000000ii−i−i000000
χ4822-2-22-2-2-122-22-1-1-1211-2-211-1112-2-1-1-1-2-122-21111-1-2-22211−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i0000-221111-1-1-1-100002i−2i000000−i−iii000000
χ4922-2-2-22-22222-2-2-22222-2-2-2-222-2-22-2-22-22-22222-2-2-200002-200-22000000000000000022-2-20000000000002200-2-200000000000000
χ5022-2-2-22-22222-2-2-22222-2-2-2-222-2-22-2-22-22-22222-2-2-200002-200-220000000000000000-2-222000000000000-2-2002200000000000000
χ5122-2-2-22-22-122-2-2-22-12211-2-2-12-21-111-1121-1-1-1-111-20000-11001-13−3−3300003−33−3−33−3322-2-2000000000000-1-100113−3−330000000000
χ5222-2-2-22-22-122-2-2-22-12211-2-2-12-21-111-1121-1-1-1-111-20000-11001-13−3−3300003−33−3−33−33-2-2220000000000001100-1-1−333−30000000000
χ5322-2-2-22-22-122-2-2-22-12211-2-2-12-21-111-1121-1-1-1-111-20000-11001-1−333−30000−33−333−33−322-2-2000000000000-1-10011−333−30000000000
χ5422-2-2-22-22-122-2-2-22-12211-2-2-12-21-111-1121-1-1-1-111-20000-11001-1−333−30000−33−333−33−3-2-2220000000000001100-1-13−3−330000000000
χ5522-2-2-2-2222-222-2-22222-2-2-2-22-22-2-2-2-222-22-2222-2-2222-2-2-22002-200000000000000000000-2222-2-2-2-2220000000000000000000000
χ5622-2-2-2-2222-222-2-22222-2-2-2-22-22-2-2-2-222-22-2222-2-22-2-222-22002-2000000000000000000002-2-2-22222-2-20000000000000000000000
χ5722-2-2-2-22-12-22211-12-1-1-2-211-11-1-2-211-1212-22-1-111-122-2-21-100-1100003−3−3333−3−3−3−3330000-22-1-11111-1-10000000000003−3−33000000
χ5822-2-2-2-22-12-22211-12-1-1-2-211-11-1-2-211-1212-22-1-111-122-2-21-100-110000−333−3−3−33333−3−30000-22-1-11111-1-1000000000000−333−3000000
χ5922-2-2-2-22-12-22211-12-1-1-2-211-11-1-2-211-1212-22-1-111-1-2-2221-100-1100003−3−3333−3−3−3−33300002-211-1-1-1-111000000000000−333−3000000
χ6022-2-2-2-22-12-22211-12-1-1-2-211-11-1-2-211-1212-22-1-111-1-2-2221-100-110000−333−3−3−33333−3−300002-211-1-1-1-1110000000000003−3−33000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-20000114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-2000011-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
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χ6644444-4-4-2-2-44-4-2-2-2-2-2-2-2-2-2-2122-221112222-2111120000-1-100-1-100000000-333-3-333-3000000000000000000000000000000000000
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χ914-4−4i4i0004400000-4-400−4i4i−4i4i4000000-40000000−4i4i022−222i2−2i2000000000000000000000000000022−22002i2−2i2000000000000000000000000
χ924-4−4i4i0004400000-4-400−4i4i−4i4i4000000-40000000−4i4i0−2222−2i22i20000000000000000000000000000−222200−2i22i2000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-4−2323−4i4i2i−2i-20000−2i32i3200000−23232i−2i022−222i2−2i20000000000000000000000000000−22i6−i6−i2i2−660000000000000000000000
χ944-4−4i4i000-24000−2i32i32-4−2323−4i4i2i−2i-20000−2i32i3200000−23232i−2i0−2222−2i22i200000000000000000000000000002−2−i6i6i2−i26−60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-423−23−4i4i2i−2i-200002i3−2i320000023−232i−2i022−222i2−2i20000000000000000000000000000−22−i6i6−i2i26−60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-423−23−4i4i2i−2i-200002i3−2i320000023−232i−2i0−2222−2i22i200000000000000000000000000002−2i6−i6i2−i2−660000000000000000000000
χ978-88i−8i0008-400000-8400−4i4i8i−8i-400000040000000−4i4i000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i34443−43−4i4i−4i4i200002i3−2i3-200000−23232i−2i000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4343−4i4i−4i4i20000−2i32i3-20000023−232i−2i000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84004i−4i−8i8i-4000000400000004i−4i000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i344−43434i−4i4i−4i200002i3−2i3-20000023−23−2i2i000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i34443−434i−4i4i−4i20000−2i32i3-200000−2323−2i2i000000000000000000000000000000000000000000000000000000000000000

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