Finite Group Databasebeta

← Group #11785519

Character table — Group #11785519

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888668812122424242424242424242424242424242488888824242424242424248888242424242424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111-1-111-11-1-1-1111111-1-1111-1-1-1-1-11-111-1-1-111-111111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111-1-11111-1-1-1-1i−ii−iii−i−i11-1-1ii−i−i1-11-1i−i
χ1011111-1-111-11-1-1-1111111-1-1111-1-1-1-1-11-111-1-1-111-111111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1-1111111-1-1-1-1i−i−iiii−i−i-1-111−i−iii-11-11−ii
χ1111111-1-111-11-1-1-1111111-1-1111-1-1-1-1-11-111-1-1-111-111111-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-111-1-11111-1-1-1-1−ii−ii−i−iii11-1-1−i−iii1-11-1−ii
χ1211111-1-111-11-1-1-1111111-1-1111-1-1-1-1-11-111-1-1-111-111111-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-1-1-1111111-1-1-1-1−iii−i−i−iii-1-111ii−i−i-11-11i−i
χ1311111-1-111-11-1-1-1111111-1-1111-1-1-1-1-11-111-1-1-111-1-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1111-1-1-1-1-1-11111−iii−i−i−iii11-1-1ii−i−i-11-11−ii
χ1411111-1-111-11-1-1-1111111-1-1111-1-1-1-1-11-111-1-1-111-1-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1-1-11111−ii−ii−i−iii-1-111−i−iii1-11-1i−i
χ1511111-1-111-11-1-1-1111111-1-1111-1-1-1-1-11-111-1-1-111-1-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1111-1-1-1-1-1-11111i−i−iiii−i−i11-1-1−i−iii-11-11i−i
χ1611111-1-111-11-1-1-1111111-1-1111-1-1-1-1-11-111-1-1-111-1-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1-1-11111i−ii−iii−i−i-1-111ii−i−i1-11-1−ii
χ1722222222-1222222-122-1-122-12-12-1-1-1-1-12-1-1-1-1-12-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ1822222222-1222222-122-1-122-12-12-1-1-1-1-12-1-1-1-1-12-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
χ1922222222-1222222-122-1-122-12-12-1-1-1-1-12-1-1-1-1-12-1-10000-1-1-2-2-1-1-2-2-2-21111111111110022220000000000-2-20000-1-1-1-11111000000
χ2022222222-1222222-122-1-122-12-12-1-1-1-1-12-1-1-1-1-12-1-10000-1-1-2-2-1-1-2-2-2-211111111111100-2-2-2-200000000002200001111-1-1-1-1000000
χ212222222-12222-1-1-12-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ222222222-12222-1-1-12-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-1222222-1-1-2-2-1-11111-2-21111-2-21111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
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χ242222222-12222-1-1-12-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-122-2-2-2-2-1-1-2-2-1-11111-2-21111-2-21111-2-20000111111112200-1-1-1-100000000000000
χ2522222-2-22-1-22-2-2-22-122-1-1-2-2-12-1-21111-1-2-1-11112-110000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii0022-2-200000000002i−2i0000-1-111−i−iii000000
χ2622222-2-22-1-22-2-2-22-122-1-1-2-2-12-1-21111-1-2-1-11112-110000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii00-2-2220000000000−2i2i000011-1-1ii−i−i000000
χ2722222-2-22-1-22-2-2-22-122-1-1-2-2-12-1-21111-1-2-1-11112-110000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i0022-2-20000000000−2i2i0000-1-111ii−i−i000000
χ2822222-2-22-1-22-2-2-22-122-1-1-2-2-12-1-21111-1-2-1-11112-110000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i00-2-22200000000002i−2i000011-1-1−i−iii000000
χ2922222-2-2-12-22-211-12-1-12211-1-121-2-211-11-1-1-211-12-22222-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii-2-20000-1-1-1-111112i−2i00−i−iii00000000000000
χ3022222-2-2-12-22-211-12-1-12211-1-121-2-211-11-1-1-211-12-22222-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i-2-20000-1-1-1-11111−2i2i00ii−i−i00000000000000
χ3122222-2-2-12-22-211-12-1-12211-1-121-2-211-11-1-1-211-12-2-2-2-2-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii2200001111-1-1-1-1−2i2i00ii−i−i00000000000000
χ3222222-2-2-12-22-211-12-1-12211-1-121-2-211-11-1-1-211-12-2-2-2-2-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i2200001111-1-1-1-12i−2i00−i−iii00000000000000
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χ352222-22-22-12-2-2222-122-1-122-1-21-2-11-1-1-1-2-1-1-1-1-1-21100001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
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χ382222-22-22-12-2-2222-122-1-122-1-21-2-11-1-1-1-2-1-1-1-1-1-21100001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i300−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ392222-2-2222-2-22-2-2222222-2-22-2-22-22-2-22222-2-2-2-2-220000-2200-220000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ402222-2-2222-2-22-2-2222222-2-22-2-22-22-2-22222-2-2-2-2-220000-2200-22000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ412222-2-222-1-2-22-2-22-122-1-1-2-2-1-2121-111-12-1-1111-21-100001-1001-100003−333−3−3−33−3−333002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i3000000
χ422222-2-222-1-2-22-2-22-122-1-1-2-2-1-2121-111-12-1-1111-21-100001-1001-100003−333−3−3−33−3−33300−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i3000000
χ432222-2-222-1-2-22-2-22-122-1-1-2-2-1-2121-111-12-1-1111-21-100001-1001-10000−33−3−3333−333−3−3002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i3000000
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χ4922-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22-22222-2-2-2-2-222222-2-2-2-2002200000000000000002-2000022-2-222-2-20000000000000000000000
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χ5422-2-2-22-2-12-222-1-1-1211-2-211-11-212-2-1-1-1-111-211-122-2-2221100-1-1−33−3300−33−3300−33−33-22000011-1-111-1-100003−33−300000000000000
χ5522-2-2-2-222222-2-2-222-2-2-2-2222-2-22-22-2-22-2-2-222222-222-2-2-22002-20000000000000000-22000022-2-2-2-2220000000000000000000000
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χ914-4−4i4i0004400000-4-4−4i4i−4i4i0040000000-40−4i4i00000022−222i2−2i2000000000000000000000000000022−222i2−2i200000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i0040000000-40−4i4i000000−2222−2i22i20000000000000000000000000000−2222−2i22i200000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-200000−2i32i3202i−2i0−232300022−222i2−2i20000000000000000000000000000−22−i2i2i6−i6−660000000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-200000−2i32i3202i−2i0−2323000−2222−2i22i200000000000000000000000000002−2i2−i2−i6i66−60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-2000002i3−2i3202i−2i023−2300022−222i2−2i20000000000000000000000000000−22−i2i2−i6i66−60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-2000002i3−2i3202i−2i023−23000−2222−2i22i200000000000000000000000000002−2i2−i2i6−i6−660000000000000000000000
χ978-88i−8i0008-400000-848i−8i−4i4i00-4000000040−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−432000002i3−2i3-202i−2i0−232300000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−4343200000−2i32i3-202i−2i023−2300000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i4i−4i00-40000000404i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−43432000002i3−2i3-20−2i2i023−2300000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−43200000−2i32i3-20−2i2i0−232300000000000000000000000000000000000000000000000000000000000000000

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