Finite Group Databasebeta

← Group #11785492

Character table — Group #11785492

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order124422233444666612121212121236666666612121212121212121288884466121212121212121212121212121212121212224488242424242424242444446612121212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1
χ911111-1-111-1-111-1-1111-1-11111-11-11-1-1-1-11-1-111-1-111111i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i1-11-1-1-11111-1-1-1-1i−ii−i1-1ii−i−i1-1ii−i−i11-1-1i−i
χ1011111-1-111-1-111-1-1111-1-11111-11-11-1-1-1-11-1-111-1-111111i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-11-11-1-11111-1-1-1-1i−i−ii-11ii−i−i-11−i−iii-1-111−ii
χ1111111-1-111-1-111-1-1111-1-11111-11-11-1-1-1-11-1-111-1-111111−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii1-11-1-1-11111-1-1-1-1−ii−ii1-1−i−iii1-1−i−iii11-1-1−ii
χ1211111-1-111-1-111-1-1111-1-11111-11-11-1-1-1-11-1-111-1-111111−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-11-11-1-11111-1-1-1-1−iii−i-11−i−iii-11ii−i−i-1-111i−i
χ1311111-1-111-1-111-1-1111-1-11111-11-11-1-1-1-11-1-111-1-11-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i1-11-111-1-1-1-11111−iii−i1-1−i−iii1-1ii−i−i-1-111−ii
χ1411111-1-111-1-111-1-1111-1-11111-11-11-1-1-1-11-1-111-1-11-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-11-1111-1-1-1-11111−ii−ii-11−i−iii-11−i−iii11-1-1i−i
χ1511111-1-111-1-111-1-1111-1-11111-11-11-1-1-1-11-1-111-1-11-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii1-11-111-1-1-1-11111i−i−ii1-1ii−i−i1-1−i−iii-1-111i−i
χ1611111-1-111-1-111-1-1111-1-11111-11-11-1-1-1-11-1-111-1-11-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-11-1111-1-1-1-11111i−ii−i-11ii−i−i-11ii−i−i11-1-1−ii
χ1722222222-1222222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-12000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000022-1-10000-1-1-1-1-1-1000000
χ1822222222-1222222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-12000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2110000111111000000
χ1922222222-1222222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-120000-2-2-1-1-2-2-2-2-1-11111111111112222000000000000-2-2-1-10000-1-11111000000
χ2022222222-1222222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-120000-2-2-1-1-2-2-2-2-1-1111111111111-2-2-2-20000000000002211000011-1-1-1-1000000
χ212222222-12222-1-1-12-1-1-1-122-1-1-122-1-1-12-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ222222222-12222-1-1-12-1-1-1-122-1-1-122-1-1-12-1222-1-1-1-1-12222-2-2-1-11111-1-1-2-21111-2-21111000022-1-1-1-1-1-1-1-1-2-200001111000000000000
χ232222222-12222-1-1-12-1-1-1-122-1-1-122-1-1-12-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-211111111-2-200001111000000000000
χ242222222-12222-1-1-12-1-1-1-122-1-1-122-1-1-12-1222-1-1-1-1-1-2-2-2-2-2-2-1-11111-1-1-2-21111-2-211110000-2-211111111220000-1-1-1-1000000000000
χ2522222-2-22-1-2-222-2-2-122-2-2-1-1-12-2-11-1111-2-111-1-111200002i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii2-22-20000000000002i−2i-110000-11−i−iii000000
χ2622222-2-22-1-2-222-2-2-122-2-2-1-1-12-2-11-1111-2-111-1-111200002i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii-22-22000000000000−2i2i1-100001-1ii−i−i000000
χ2722222-2-22-1-2-222-2-2-122-2-2-1-1-12-2-11-1111-2-111-1-11120000−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i2-22-2000000000000−2i2i-110000-11ii−i−i000000
χ2822222-2-22-1-2-222-2-2-122-2-2-1-1-12-2-11-1111-2-111-1-11120000−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i-22-220000000000002i−2i1-100001-1−i−iii000000
χ2922222-2-2-12-2-22-1112-1-11122-1-112-2-111-212-2-2-1-111-122222i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii0000-2-2-1-1-1-111112i−2i0000−i−iii000000000000
χ3022222-2-2-12-2-22-1112-1-11122-1-112-2-111-212-2-2-1-111-12222−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i0000-2-2-1-1-1-11111−2i2i0000ii−i−i000000000000
χ3122222-2-2-12-2-22-1112-1-11122-1-112-2-111-212-2-2-1-111-1-2-2-2-22i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii0000221111-1-1-1-1−2i2i0000ii−i−i000000000000
χ3222222-2-2-12-2-22-1112-1-11122-1-112-2-111-212-2-2-1-111-1-2-2-2-2−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i0000221111-1-1-1-12i−2i0000−i−iii000000000000
χ332222-22-2222-2-222222222222-2-2-22222-2-2-22-22222-2000000-2-20000-2-20000000000000000000000000000000000000000002i−2i2i−2i00
χ342222-22-2222-2-222222222222-2-2-22222-2-2-22-22222-2000000-2-20000-2-2000000000000000000000000000000000000000000−2i2i−2i2i00
χ352222-2-2222-22-22-2-2222-2-2222-22-2-22-2-222-2-2222-2-2-2000000-220000-220000000000000000000000000000000000000000002i−2i−2i2i00
χ362222-2-2222-22-22-2-2222-2-2222-22-2-22-2-222-2-2222-2-2-2000000-220000-22000000000000000000000000000000000000000000−2i2i2i−2i00
χ3722-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2000000220000-2-20000000000002-2-22000000000000002-20000-220000000000
χ3822-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2000000220000-2-2000000000000-222-200000000000000-2200002-20000000000
χ3922-2-22222-1-2-2-2222-1-2-2-2-211-122-1-1-1-1-1-1-21111111-2000000-1-1000011−i3i3−i3−i3i3i3−i3i3−i3−i3i3i32-2-2200000000000000-1100001-1−i3i3−i3i3000000
χ4022-2-22222-1-2-2-2222-1-2-2-2-211-122-1-1-1-1-1-1-21111111-2000000-1-1000011−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-222-2000000000000001-10000-11i3−i3i3−i3000000
χ4122-2-22222-1-2-2-2222-1-2-2-2-211-122-1-1-1-1-1-1-21111111-2000000-1-1000011i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32-2-2200000000000000-1100001-1i3−i3i3−i3000000
χ4222-2-22222-1-2-2-2222-1-2-2-2-211-122-1-1-1-1-1-1-21111111-2000000-1-1000011i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-222-2000000000000001-10000-11−i3i3−i3i3000000
χ4322-2-22-2-22222-22-2-22-2-222-2-222-22-22-2-2-22-222-2-222-20000002-20000-2200000000000022-2-200000000000000220000-2-20000000000
χ4422-2-22-2-22222-22-2-22-2-222-2-222-22-22-2-2-22-222-2-222-20000002-20000-22000000000000-2-22200000000000000-2-20000220000000000
χ4522-2-22-2-22-122-22-2-2-1-2-22211-12-2-11-111121-1-111-1-1-2000000-1100001-13−333−3−3−33−3−33322-2-200000000000000-1-10000113−3−33000000
χ4622-2-22-2-22-122-22-2-2-1-2-22211-12-2-11-111121-1-111-1-1-2000000-1100001-13−333−3−3−33−3−333-2-22200000000000000110000-1-1−333−3000000
χ4722-2-22-2-22-122-22-2-2-1-2-22211-12-2-11-111121-1-111-1-1-2000000-1100001-1−33−3−3333−333−3−322-2-200000000000000-1-1000011−333−3000000
χ4822-2-22-2-22-122-22-2-2-1-2-22211-12-2-11-111121-1-111-1-1-2000000-1100001-1−33−3−3333−333−3−3-2-22200000000000000110000-1-13−3−33000000
χ4922-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-222-22-2-2-2-2222-2-200-2-200002200000000000000002-222-2-222-2-20000000000000000000000
χ5022-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-222-22-2-2-2-22-2-22200-2-20000220000000000000000-22-2-222-2-2220000000000000000000000
χ5122-2-2-22-2-12-222-1-1-121111-2-2-111-22-1-1-1-2-12-221111-122-2-20011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i300002-2-1-111-1-111000000−i3i3−i3i3000000000000
χ5222-2-2-22-2-12-222-1-1-121111-2-2-111-22-1-1-1-2-12-221111-122-2-20011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i300002-2-1-111-1-111000000i3−i3i3−i3000000000000
χ5322-2-2-22-2-12-222-1-1-121111-2-2-111-22-1-1-1-2-12-221111-1-2-2220011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i30000-2211-1-111-1-1000000i3−i3i3−i3000000000000
χ5422-2-2-22-2-12-222-1-1-121111-2-2-111-22-1-1-1-2-12-221111-1-2-2220011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i30000-2211-1-111-1-1000000−i3i3−i3i3000000000000
χ5522-2-2-2-22222-222-2-22-2-222-2-22-22-2-22-2-22-222-2-2-222222-2-200-2200002-20000000000000000-2222-2-2-2-2220000000000000000000000
χ5622-2-2-2-22222-222-2-22-2-222-2-22-22-2-22-2-22-222-2-2-2222-2-22200-2200002-200000000000000002-2-2-22222-2-20000000000000000000000
χ5722-2-2-2-22-122-22-111211-1-1-2-2-11-1-2-2-1112122-211-1-1-122-2-2001-13−3−33-11003−33−300−33−330000-22-1-11111-1-10000003−3−33000000000000
χ5822-2-2-2-22-122-22-111211-1-1-2-2-11-1-2-2-1112122-211-1-1-122-2-2001-1−333−3-1100−33−33003−33−30000-22-1-11111-1-1000000−333−3000000000000
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-200004411-2-2-2-211-2-21111-2-21111000000000000000000000000000000000000
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χ914-4−4i4i00044000-400-4−4i4i00−4i4i40000-40000000−4i4i00022−222i2−2i2000000000000000000000000000022−222i2−2i200000000000000000000000000
χ924-4−4i4i00044000-400-4−4i4i00−4i4i40000-40000000−4i4i000−2222−2i22i20000000000000000000000000000−2222−2i22i200000000000000000000000000
χ934-4−4i4i000-240002−2i32i3-42i−2i−2323−4i4i-200002−2i32i3000002i−2i−2323022−222i2−2i20000000000000000000000000000−22−i2i2i6−i6−660000000000000000000000
χ944-4−4i4i000-240002−2i32i3-42i−2i−2323−4i4i-200002−2i32i3000002i−2i−23230−2222−2i22i200000000000000000000000000002−2i2−i2−i6i66−60000000000000000000000
χ954-4−4i4i000-2400022i3−2i3-42i−2i23−23−4i4i-2000022i3−2i3000002i−2i23−23022−222i2−2i20000000000000000000000000000−22−i2i2−i6i66−60000000000000000000000
χ964-4−4i4i000-2400022i3−2i3-42i−2i23−23−4i4i-2000022i3−2i3000002i−2i23−230−2222−2i22i200000000000000000000000000002−2i2−i2i6−i6−660000000000000000000000
χ978-88i−8i0008-4000-80048i−8i00−4i4i-4000040000000−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i34−4i4i43−43−4i4i20000-22i3−2i3000002i−2i−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4i4i−4343−4i4i20000-2−2i32i3000002i−2i23−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-8004−8i8i004i−4i-40000400000004i−4i00000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i344i−4i−43434i−4i20000-22i3−2i300000−2i2i23−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i344i−4i43−434i−4i20000-2−2i32i300000−2i2i−2323000000000000000000000000000000000000000000000000000000000000000

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