Finite Group Databasebeta

← Group #11785520

Character table — Group #11785520

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order124422233444666612121212121236666666612121212121212121288886688121224242424242424242424242424242424224488242424242424242466888812122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1
χ911111-1-111-11-1-1-1111111-1-111-11-1-1-1-11-1111-1-1-11-111111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1-1-11111-1-1-1-11-1i−ii−i1-1ii−i−iii−i−i11-1-1i−i
χ1011111-1-111-11-1-1-1111111-1-111-11-1-1-1-11-1111-1-1-11-111111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11-1-11111-1-1-1-1-11i−i−ii-11ii−i−i−i−iii-1-111−ii
χ1111111-1-111-11-1-1-1111111-1-111-11-1-1-1-11-1111-1-1-11-111111-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1-1-11111-1-1-1-11-1−ii−ii1-1−i−iii−i−iii11-1-1−ii
χ1211111-1-111-11-1-1-1111111-1-111-11-1-1-1-11-1111-1-1-11-111111-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-11-1-11111-1-1-1-1-11−iii−i-11−i−iiiii−i−i-1-111i−i
χ1311111-1-111-11-1-1-1111111-1-111-11-1-1-1-11-1111-1-1-11-1-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-111-1-1-1-111111-1−iii−i1-1−i−iiiii−i−i-1-111−ii
χ1411111-1-111-11-1-1-1111111-1-111-11-1-1-1-11-1111-1-1-11-1-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-1111-1-1-1-11111-11−ii−ii-11−i−iii−i−iii11-1-1i−i
χ1511111-1-111-11-1-1-1111111-1-111-11-1-1-1-11-1111-1-1-11-1-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-111-1-1-1-111111-1i−i−ii1-1ii−i−i−i−iii-1-111i−i
χ1611111-1-111-11-1-1-1111111-1-111-11-1-1-1-11-1111-1-1-11-1-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-1111-1-1-1-11111-11i−ii−i-11ii−i−iii−i−i11-1-1−ii
χ1722222222-1222222-122-1-122-122-1-1-1-1-1-12-1-1-1-1-1-12-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000-1-10022-1-10000-1-1-1-1000000
χ1822222222-1222222-122-1-122-122-1-1-1-1-1-12-1-1-1-1-1-12-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000001100-2-21100001111000000
χ1922222222-1222222-122-1-122-122-1-1-1-1-1-12-1-1-1-1-1-12-10000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-1-100-2-2-1-100001111000000
χ2022222222-1222222-122-1-122-122-1-1-1-1-1-12-1-1-1-1-1-12-10000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-20000000000110022110000-1-1-1-1000000
χ212222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-12-1-12-1-1-122222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-100220000-1-1-1-10000000000
χ222222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-12-1-12-1-1-122222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-100-2-2000011110000000000
χ232222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-12-1-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-21111111100-2-2000011110000000000
χ242222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-12-1-12-1-1-12-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-21111111100220000-1-1-1-10000000000
χ2522222-2-22-1-22-2-2-22-122-1-1-2-2-12-2-11111-1-2-1-1-1111210000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii2-22-20000000000-11002i−2i-110000−i−iii000000
χ2622222-2-22-1-22-2-2-22-122-1-1-2-2-12-2-11111-1-2-1-1-1111210000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii-22-2200000000001-100−2i2i1-10000ii−i−i000000
χ2722222-2-22-1-22-2-2-22-122-1-1-2-2-12-2-11111-1-2-1-1-1111210000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i2-22-20000000000-1100−2i2i-110000ii−i−i000000
χ2822222-2-22-1-22-2-2-22-122-1-1-2-2-12-2-11111-1-2-1-1-1111210000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i-22-2200000000001-1002i−2i1-10000−i−iii000000
χ2922222-2-2-12-22-211-12-1-12211-1-112-2-211-112-1-1-211-1-22222-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000-2-2-1-1-1-11111002i−2i0000−i−iii0000000000
χ3022222-2-2-12-22-211-12-1-12211-1-112-2-211-112-1-1-211-1-22222-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000-2-2-1-1-1-1111100−2i2i0000ii−i−i0000000000
χ3122222-2-2-12-22-211-12-1-12211-1-112-2-211-112-1-1-211-1-2-2-2-2-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000221111-1-1-1-100−2i2i0000ii−i−i0000000000
χ3222222-2-2-12-22-211-12-1-12211-1-112-2-211-112-1-1-211-1-2-2-2-2-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000221111-1-1-1-1002i−2i0000−i−iii0000000000
χ332222-22-2222-2-222222222222-2-2-22-2222-2-222222-2-20000-2-200-2-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ342222-22-2222-2-222222222222-2-2-22-2222-2-222222-2-20000-2-200-2-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ352222-2-2222-2-22-2-2222222-2-22-22-2-22-2-222-222-2-2-2-220000-2200-2200000000000000000000000000000000000000000000002i−2i−2i2i00
χ362222-2-2222-2-22-2-2222222-2-22-22-2-22-2-222-222-2-2-2-220000-2200-220000000000000000000000000000000000000000000000−2i2i2i−2i00
χ3722-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-200000000000000002-2-2200000000002-20000-2200000000000000
χ3822-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-20000000000000000-222-20000000000-2200002-200000000000000
χ3922-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2111111-210000-1-1001100003−333−3−33−333−3−32-2-220000000000-1100001-100003−33−3000000
χ4022-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2111111-210000-1-1001100003−333−3−33−333−3−3-222-200000000001-10000-110000−33−33000000
χ4122-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2111111-210000-1-100110000−33−3−333−33−3−3332-2-220000000000-1100001-10000−33−33000000
χ4222-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2111111-210000-1-100110000−33−3−333−33−3−333-222-200000000001-10000-1100003−33−3000000
χ4322-2-22-2-2222-22-2-222-2-2-2-22222-22-2-2-2-222-2-2-2222-2200002-200-22000000000000000022-2-20000000000220000-2-200000000000000
χ4422-2-22-2-2222-22-2-222-2-2-2-22222-22-2-2-2-222-2-2-2222-2200002-200-220000000000000000-2-2220000000000-2-200002200000000000000
χ4522-2-22-2-22-12-22-2-22-1-2-21122-12-2-11111-12111-1-1-1-2-10000-11001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i322-2-20000000000-1-10000110000−i3i3i3−i3000000
χ4622-2-22-2-22-12-22-2-22-1-2-21122-12-2-11111-12111-1-1-1-2-10000-11001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i3-2-2220000000000110000-1-10000i3−i3−i3i3000000
χ4722-2-22-2-22-12-22-2-22-1-2-21122-12-2-11111-12111-1-1-1-2-10000-11001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i322-2-20000000000-1-10000110000i3−i3−i3i3000000
χ4822-2-22-2-22-12-22-2-22-1-2-21122-12-2-11111-12111-1-1-1-2-10000-11001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i3-2-2220000000000110000-1-10000−i3i3i3−i3000000
χ4922-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22-222222-2-2-2-2-22222-2-2-2-20022000000000000000000002-222-2-222-2-20000000000000000000000
χ5022-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22-222222-2-2-2-2-222-2-222-2-2002200000000000000000000-22-2-222-2-2220000000000000000000000
χ5122-2-2-22-2-12-222-1-1-1211-2-211-111-22-2-1-1-1-1211-211-1222-2-21100-1-13−33−3003−33−3003−33−300002-2-1-111-1-111000000003−33−30000000000
χ5222-2-2-22-2-12-222-1-1-1211-2-211-111-22-2-1-1-1-1211-211-1222-2-21100-1-1−33−3300−33−3300−33−3300002-2-1-111-1-11100000000−33−330000000000
χ5322-2-2-22-2-12-222-1-1-1211-2-211-111-22-2-1-1-1-1211-211-12-2-2221100-1-13−33−3003−33−3003−33−30000-2211-1-111-1-100000000−33−330000000000
χ5422-2-2-22-2-12-222-1-1-1211-2-211-111-22-2-1-1-1-1211-211-12-2-2221100-1-1−33−3300−33−3300−33−330000-2211-1-111-1-1000000003−33−30000000000
χ5522-2-2-2-222222-2-2-222-2-2-2-2222-22-2-22-2-22-22-2-22222-222-2-2-22002-200000000000000000000-2222-2-2-2-2220000000000000000000000
χ5622-2-2-2-222222-2-2-222-2-2-2-2222-22-2-22-2-22-22-2-22222-2-2-222-22002-2000000000000000000002-2-2-22222-2-20000000000000000000000
χ5722-2-2-2-22-1222-211-1211-2-2-1-1-11-1-2-2211-112112-1-1-1-222-2-21-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i30000-22-1-11111-1-100000000−i3i3i3−i30000000000
χ5822-2-2-2-22-1222-211-1211-2-2-1-1-11-1-2-2211-112112-1-1-1-222-2-21-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i30000-22-1-11111-1-100000000i3−i3−i3i30000000000
χ5922-2-2-2-22-1222-211-1211-2-2-1-1-11-1-2-2211-112112-1-1-1-2-2-2221-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i300002-211-1-1-1-11100000000i3−i3−i3i30000000000
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-211-211-2-20000114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
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χ914-4−4i4i0004400000-4-4−4i4i−4i4i0040000000-400−4i4i0000022−222i2−2i2000000000000000000000000000022−222i2−2i200000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i0040000000-400−4i4i00000−2222−2i22i20000000000000000000000000000−2222−2i22i200000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-200000−2i32i32002i−2i0−23230022−222i2−2i20000000000000000000000000000−22−i2i2i6−i6−660000000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-200000−2i32i32002i−2i0−232300−2222−2i22i200000000000000000000000000002−2i2−i2−i6i66−60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-2000002i3−2i32002i−2i023−230022−222i2−2i20000000000000000000000000000−22−i2i2−i6i66−60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-2000002i3−2i32002i−2i023−2300−2222−2i22i200000000000000000000000000002−2i2−i2i6−i6−660000000000000000000000
χ978-88i−8i0008-400000-848i−8i−4i4i00-40000000400−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−432000002i3−2i3-2002i−2i0−23230000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−4343200000−2i32i3-2002i−2i023−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i4i−4i00-400000004004i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−43432000002i3−2i3-200−2i2i023−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−43200000−2i32i3-200−2i2i0−23230000000000000000000000000000000000000000000000000000000000000000

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