Finite Group Databasebeta

← Group #11872161

Character table — Group #11872161

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122233444444666666121212122234466612121212121212121212121212126666666612121212121212121212121288882424242424242424244466881212121212122424242422244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-11-1-1-1-111-1-111-1-1-1-111-1-1-111-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-11
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1111-1-11
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1111111-1-1-111-1
χ9111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-111-1-1-1-111-1-1-1-1-1-11111
χ10111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-11-1-1-1-111-1-1111111-1-1-1-1
χ11111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-11-11111-1-111-1-11111-1-1-1-1
χ12111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11-1-11111-1-111-1-1-1-11111
χ13111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-111-1-111-111-1
χ14111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-1-111-1-11-1-1-1111111-1-111-1-11-1-11
χ15111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1111111-1-111-1111-1-1-1-1-1-11111-1-11-1-11
χ16111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111111-1-11111-1-1-1-1-11111-1-1-1-111-111-1
χ1722222222-2-2-2-2222222222200200222-2-2-2-2222222-2-2-2-2000000000000-2-2-2-20000000000000000000000000000000000002-2-2002
χ1822222222-2-2-2-2222222222200200222-2-2-2-2222222-2-2-2-2000000000000-2-2-2-2000000000000000000000000000000000000-22200-2
χ19222222-2-222-2-2222222-2-2-2-2002002222222-2-2-2-2-2-2-2-2-2-2000000000000-2-2220000000000000000000000000000000000002-2200-2
χ20222222-2-222-2-2222222-2-2-2-2002002222222-2-2-2-2-2-2-2-2-2-2000000000000-2-222000000000000000000000000000000000000-22-2002
χ2122222-12222222-1-122-1-1-1-1-122-122-1-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12020-1-10000-1-100000000000000
χ2222222-12222222-1-122-1-1-1-1-122-122-1-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-20-201100001100000000000000
χ2322222-12222222-1-122-1-1-1-1-1-2-2-1-2-2-1-1-122-1-122-1-1-1-1-1-122-2-2111111-2-211-1-1-1-111112222-1-1-1-1-1-1-1-1-20-201100001100000000000000
χ2422222-12222222-1-122-1-1-1-1-1-2-2-1-2-2-1-1-122-1-122-1-1-1-1-1-122-2-2111111-2-211-1-1-1-11111-2-2-2-2111111112020-1-10000-1-100000000000000
χ2522222-1-2-2-2-2222-1-122-1111122-1-2-2-1-1-1-2-211-2-21111-1-12222-1-1-1-1-1-1-2-211-1-111111122-2-2-1-1-1-1111120-20-1-100001100000000000000
χ2622222-1-2-2-2-2222-1-122-1111122-1-2-2-1-1-1-2-211-2-21111-1-12222-1-1-1-1-1-1-2-211-1-1111111-2-2221111-1-1-1-1-2020110000-1-100000000000000
χ2722222-1-2-2-2-2222-1-122-11111-2-2-122-1-1-1-2-211-2-21111-1-122-2-211111122-1-1-1-111-1-1-1-122-2-2-1-1-1-11111-2020110000-1-100000000000000
χ2822222-1-2-2-2-2222-1-122-11111-2-2-122-1-1-1-2-211-2-21111-1-122-2-211111122-1-1-1-111-1-1-1-1-2-2221111-1-1-1-120-20-1-100001100000000000000
χ292222-12222222-122-1-12222222-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000002020022-1-100-1-1-1-1-1-100000000
χ302222-12222222-122-1-12222222-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000000-20-200-2-2110011111100000000
χ312222-12222222-122-1-122222-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-122-1-111-2-2111111-2-2-1-1-1-11111000000000000020200-2-2-1-100-1-1111100000000
χ322222-12222222-122-1-122222-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-122-1-111-2-2111111-2-2-1-1-1-111110000000000000-20-20022110011-1-1-1-100000000
χ332222-12-2-2-2-222-122-1-12-2-2-2-222-1-2-2-1-1-111-2-211111122-1-1-1-122-1-1-1-111-2-2-1-1111111000000000000020-2002-2-1-10011-1-11100000000
χ342222-12-2-2-2-222-122-1-12-2-2-2-222-1-2-2-1-1-111-2-211111122-1-1-1-122-1-1-1-111-2-2-1-11111110000000000000-20200-221100-1-111-1-100000000
χ352222-12-2-2-2-222-122-1-12-2-2-2-2-2-2-122-1-1-111-2-211111122-1-111-2-21111-1-122-1-111-1-1-1-1000000000000020-200-22-1-1001111-1-100000000
χ362222-12-2-2-2-222-122-1-12-2-2-2-2-2-2-122-1-1-111-2-211111122-1-111-2-21111-1-122-1-111-1-1-1-10000000000000-202002-21100-1-1-1-11100000000
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χ4122-2-222−2i2i2i−2i-22-22-22-2-2−2i−2i2i2i2-22−2i2i2-2-22i−2i2i−2i−2i2i−2i−2i2i2i-22-222-22-222-2-2−2i2i−2i2i-222i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ4222-2-222−2i2i2i−2i-22-22-22-2-2−2i−2i2i2i-2222i−2i2-2-22i−2i2i−2i−2i2i−2i−2i2i2i-22-22-22-22-2-2222i−2i2i−2i-222i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ4322-2-222−2i2i−2i2i2-2-22-22-2-2−2i−2i2i2i002002-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-20000000000002-2−2i2i00000000000000000000000000000000002-2000−2i2i0
χ4422-2-222−2i2i−2i2i2-2-22-22-2-2−2i−2i2i2i002002-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-20000000000002-2−2i2i0000000000000000000000000000000000-220002i−2i0
χ4522-2-22-12i−2i−2i2i-22-2-112-21−i−iii2-2-12i−2i-111−2i2ii−i2i−2i−i−iii1-1-222-2-11-1-1112i−2i−ii1-1i−i−i−iii0000−i3−i3i3i333−3−30000−i3i300003−300000000000000
χ4622-2-22-12i−2i−2i2i-22-2-112-21−i−iii2-2-12i−2i-111−2i2ii−i2i−2i−i−iii1-1-222-2-11-1-1112i−2i−ii1-1i−i−i−iii0000i3i3−i3−i3−3−3330000i3−i30000−3300000000000000
χ4722-2-22-12i−2i−2i2i-22-2-112-21−i−iii-22-1−2i2i-111−2i2ii−i2i−2i−i−iii1-1-22-221-111-1-1−2i2ii−i1-1i−iii−i−i0000−i3−i3i3i333−3−30000i3−i30000−3300000000000000
χ4822-2-22-12i−2i−2i2i-22-2-112-21−i−iii-22-1−2i2i-111−2i2ii−i2i−2i−i−iii1-1-22-221-111-1-1−2i2ii−i1-1i−iii−i−i0000i3i3−i3−i3−3−3330000−i3i300003−300000000000000
χ4922-2-22-1−2i2i2i−2i-22-2-112-21ii−i−i2-2-1−2i2i-1112i−2i−ii−2i2iii−i−i1-1-222-2-11-1-111−2i2ii−i1-1−iiii−i−i0000−i3−i3i3i3−3−3330000−i3i30000−3300000000000000
χ5022-2-22-1−2i2i2i−2i-22-2-112-21ii−i−i2-2-1−2i2i-1112i−2i−ii−2i2iii−i−i1-1-222-2-11-1-111−2i2ii−i1-1−iiii−i−i0000i3i3−i3−i333−3−30000i3−i300003−300000000000000
χ5122-2-22-1−2i2i2i−2i-22-2-112-21ii−i−i-22-12i−2i-1112i−2i−ii−2i2iii−i−i1-1-22-221-111-1-12i−2i−ii1-1−ii−i−iii0000−i3−i3i3i3−3−3330000i3−i300003−300000000000000
χ5222-2-22-1−2i2i2i−2i-22-2-112-21ii−i−i-22-12i−2i-1112i−2i−ii−2i2iii−i−i1-1-22-221-111-1-12i−2i−ii1-1−ii−i−iii0000i3i3−i3−i333−3−30000−i3i30000−3300000000000000
χ5322-2-2-122i−2i−2i2i-2212-2-11-22i2i−2i−2i2-2-12i−2i-111i−i−2i2i−ii−i−iii-221-1-112-2-1-111−ii2i−2i1-1i−i−i−iii00000000000000000000−i3i3003−3−i3i33−300000000
χ5422-2-2-122i−2i−2i2i-2212-2-11-22i2i−2i−2i2-2-12i−2i-111i−i−2i2i−ii−i−iii-221-1-112-2-1-111−ii2i−2i1-1i−i−i−iii00000000000000000000i3−i300−33i3−i3−3300000000
χ5522-2-2-122i−2i−2i2i-2212-2-11-22i2i−2i−2i-22-1−2i2i-111i−i−2i2i−ii−i−iii-221-11-1-2211-1-1i−i−2i2i1-1i−iii−i−i00000000000000000000−i3i3003−3i3−i3−3300000000
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χ5922-2-2-12−2i2i2i−2i-2212-2-11-2−2i−2i2i2i-22-12i−2i-111−ii2i−2ii−iii−i−i-221-11-1-2211-1-1−ii2i−2i1-1−ii−i−iii00000000000000000000−i3i300−33i3−i33−300000000
χ6022-2-2-12−2i2i2i−2i-2212-2-11-2−2i−2i2i2i-22-12i−2i-111−ii2i−2ii−iii−i−i-221-11-1-2211-1-1−ii2i−2i1-1−ii−i−iii00000000000000000000i3−i3003−3−i3i3−3300000000
χ6144444-244-4-4-4-44-2-244-2-2-2-2-200-200-2-2-2-4-42244-2-2-2-222-4-40000000000002222000000000000000000000000000000000000000000
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χ8444-4-4-2-2−4i4i−4i4i4-42-22-2222i2i−2i−2i001001-1-12i−2i2i−2i2i−2i−i−iii-22-220000-333-300001-1−ii3i−3i−3i3i00000000000000000000000000000000000000
χ854-44-444000000-4-4-4-444000000400-4-44000000000000000000000000000000000022−220022−2222−22000000000000000000000000000000
χ864-44-444000000-4-4-4-444000000400-4-440000000000000000000000000000000000−222200−2222−2222000000000000000000000000000000
χ874-44-44-2000000-422-44-2−2i32i3−2i32i300-20022-2000000−2i32i3−2i32i300000000000000000000000022−2200−22−22i6−i6i6−i600000000000000000000000000
χ884-44-44-2000000-422-44-2−2i32i3−2i32i300-20022-2000000−2i32i3−2i32i3000000000000000000000000−2222002−22−2−i6i6−i6i600000000000000000000000000
χ894-44-44-2000000-422-44-22i3−2i32i3−2i300-20022-20000002i3−2i32i3−2i300000000000000000000000022−2200−22−22−i6i6−i6i600000000000000000000000000
χ904-44-44-2000000-422-44-22i3−2i32i3−2i300-20022-20000002i3−2i32i3−2i3000000000000000000000000−2222002−22−2i6−i6i6−i600000000000000000000000000
χ914-4-44440000004-44-4-4-4000000400-44-4000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i200000000000000000000000000
χ924-4-44440000004-44-4-4-4000000400-44-40000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i200000000000000000000000000
χ934-4-444-200000042-2-4-4223−23−232300-2002-2200000023−23−232300000000000000000000000000−2i22i2−i6i6i6−i6i2−i2−i2i200000000000000000000000000
χ944-4-444-200000042-2-4-4223−23−232300-2002-2200000023−23−2323000000000000000000000000002i2−2i2i6−i6−i6i6−i2i2i2−i200000000000000000000000000
χ954-4-444-200000042-2-4-42−232323−2300-2002-22000000−232323−2300000000000000000000000000−2i22i2i6−i6−i6i6i2−i2−i2i200000000000000000000000000
χ964-4-444-200000042-2-4-42−232323−2300-2002-22000000−232323−23000000000000000000000000002i2−2i2−i6i6i6−i6−i2i2i2−i200000000000000000000000000
χ978-88-8-480000004-8-84-48000000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-40000004444-4-4−4i34i3−4i34i300200-2-220000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40000004444-4-44i3−4i34i3−4i300200-2-22000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48000000-4-8844-8000000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000-44-444443−43−434300200-22-2000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000-44-4444−434343−4300200-22-200000023−23−232300000000000000000000000000000000000000000000000000000000000000

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