Finite Group Databasebeta

← Group #11872838

Character table — Group #11872838

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12223344444466666612121212223446661212121212121212121212121212666666661212121212121212121212128888242424242424242444448812121212121212122424242422244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-11
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1111-1-11
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1111111-1-1-111-1
χ9111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-111-1-1-1-11111-1-1111-11-1-1-1
χ10111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1111-1-111-1-1-1-111-1-1-11-1111
χ11111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-111-1-11111-1-1-1-1-11-1111
χ12111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-11-1-11111-1-1-1-111111-11-1-1-1
χ13111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-11-1-11-11-1-111-1-111-1-11111-11-1-1-11
χ14111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-1-1111-1-1-11111-1-111-1-1-1-11-1111-1
χ15111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1111111-1-1-1111-1-1-1-111-1-111-1-11-1111-1
χ16111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-111-11-111-1-111-1-111-1-111-11-1-1-11
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
χ19222222-2-222-2-2222222-2-2-2-2002002222222-2-2-2-2-2-2-2-2-2-2000000000000-2-22200000000000000000000000000000000000022-200-2
χ20222222-2-222-2-2222222-2-2-2-2002002222222-2-2-2-2-2-2-2-2-2-2000000000000-2-222000000000000000000000000000000000000-2-22002
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χ2422222-12222222-12-1-12-1-1-1-1-2-2-1-2-2-1-1-122-1-122-1-1-1-122-1-1-2-211111111-2-2-1-1-1-11111-2-2-2-211111111020200-1-1-1-10000000000000000
χ2522222-1-2-2-2-2222-12-1-12111122-1-2-2-1-1-1-2-211-2-2111122-1-122-1-1-1-1-1-111-2-2-1-111111122-2-2-1-1-1-11111020-200-1-1110000000000000000
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χ292222-12222222-12-122-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-10000000000002020220000-1-1-1-1-1-1-1-100000000
χ302222-12222222-12-122-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000-20-20-2-200001111111100000000
χ312222-12222222-12-122-12222-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-1-1-12211-2-21111-2-211-1-1-1-111110000000000002020-2-20000-1-1-1-1111100000000
χ322222-12222222-12-122-12222-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-1-1-12211-2-21111-2-211-1-1-1-11111000000000000-20-202200001111-1-1-1-100000000
χ332222-12-2-2-2-222-12-122-1-2-2-2-222-1-2-2-1-1-111-2-2111111-1-122-1-122-1-1-1-1-2-211-1-111111100000000000020-202-2000011-1-1-1-11100000000
χ342222-12-2-2-2-222-12-122-1-2-2-2-222-1-2-2-1-1-111-2-2111111-1-122-1-122-1-1-1-1-2-211-1-1111111000000000000-2020-220000-1-11111-1-100000000
χ352222-12-2-2-2-222-12-122-1-2-2-2-2-2-2-122-1-1-111-2-2111111-1-12211-2-2111122-1-1-1-111-1-1-1-100000000000020-20-22000011-1-111-1-100000000
χ362222-12-2-2-2-222-12-122-1-2-2-2-2-2-2-122-1-1-111-2-2111111-1-12211-2-2111122-1-1-1-111-1-1-1-1000000000000-20202-20000-1-111-1-11100000000
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χ412-22-222−2i2i2i−2i-22-2-222-2-2−2i−2i2i2i2-22−2i2i2-2-22i−2i2i−2i−2i2i−2i−2i2i2i-22-222-22-222-2-2−2i2i−2i2i-222i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ422-22-222−2i2i2i−2i-22-2-222-2-2−2i−2i2i2i-2222i−2i2-2-22i−2i2i−2i−2i2i−2i−2i2i2i-22-22-22-22-2-2222i−2i2i−2i-222i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ432-22-222−2i2i−2i2i2-2-2-222-2-2−2i−2i2i2i002002-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-20000000000002-2−2i2i00000000000000000000000000000000002-2000−2i2i0
χ442-22-222−2i2i−2i2i2-2-2-222-2-2−2i−2i2i2i002002-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-20000000000002-2−2i2i0000000000000000000000000000000000-220002i−2i0
χ452-22-22-12i−2i−2i2i-22-212-11-2−i−iii2-2-12i−2i-111−2i2ii−i2i−2i−i−iii-221-12-2-11-1-111−ii2i−2i1-1i−i−i−iii0000−i3−i3i3i333−3−3000000−i3i33−30000000000000000
χ462-22-22-12i−2i−2i2i-22-212-11-2−i−iii2-2-12i−2i-111−2i2ii−i2i−2i−i−iii-221-12-2-11-1-111−ii2i−2i1-1i−i−i−iii0000i3i3−i3−i3−3−333000000i3−i3−330000000000000000
χ472-22-22-12i−2i−2i2i-22-212-11-2−i−iii-22-1−2i2i-111−2i2ii−i2i−2i−i−iii-221-1-221-111-1-1i−i−2i2i1-1i−iii−i−i0000−i3−i3i3i333−3−3000000i3−i3−330000000000000000
χ482-22-22-12i−2i−2i2i-22-212-11-2−i−iii-22-1−2i2i-111−2i2ii−i2i−2i−i−iii-221-1-221-111-1-1i−i−2i2i1-1i−iii−i−i0000i3i3−i3−i3−3−333000000−i3i33−30000000000000000
χ492-22-22-1−2i2i2i−2i-22-212-11-2ii−i−i2-2-1−2i2i-1112i−2i−ii−2i2iii−i−i-221-12-2-11-1-111i−i−2i2i1-1−iiii−i−i0000−i3−i3i3i3−3−333000000−i3i3−330000000000000000
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χ522-22-22-1−2i2i2i−2i-22-212-11-2ii−i−i-22-12i−2i-1112i−2i−ii−2i2iii−i−i-221-1-221-111-1-1−ii2i−2i1-1−ii−i−iii0000i3i3−i3−i333−3−3000000−i3i3−330000000000000000
χ532-22-2-122i−2i−2i2i-221-2-12-212i2i−2i−2i2-2-12i−2i-111i−i−2i2i−ii−i−iii1-1-22-112-2-1-1112i−2i−ii1-1i−i−i−iii0000000000000000000000−i3i33−33−3−i3i300000000
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χ854-44-4-2-24i−4i−4i4i-4422-2-222−2i−2i2i2i4-414i−4i1-1-12i−2i2i−2i−2i2iii−i−i2-22-2-22-2211-1-1−2i2i−2i2i-11−iiii−i−i00000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-4422-2-222−2i−2i2i2i-441−4i4i1-1-12i−2i2i−2i−2i2iii−i−i2-22-22-22-2-1-1112i−2i2i−2i-11−ii−i−iii00000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-4422-2-2222i2i−2i−2i4-41−4i4i1-1-1−2i2i−2i2i2i−2i−i−iii2-22-2-22-2211-1-12i−2i2i−2i-11i−i−i−iii00000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-4422-2-2222i2i−2i−2i-4414i−4i1-1-1−2i2i−2i2i2i−2i−i−iii2-22-22-22-2-1-111−2i2i−2i2i-11i−iii−i−i00000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-422-2-2222i2i−2i−2i001001-1-12i−2i2i−2i2i−2i−i−iii-22-2200003-3-3300001-1−ii−3i3i3i−3i00000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-422-2-2222i2i−2i−2i001001-1-12i−2i2i−2i2i−2i−i−iii-22-220000-333-300001-1−ii3i−3i−3i3i00000000000000000000000000000000000000
χ914-4-44440000004-4-4-44-4000000400-44-40000000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000000000
χ924-4-44440000004-4-4-44-4000000400-44-400000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000000000
χ934-4-444-200000042-42-2-423−23−232300-2002-2200000023−23−2323000000000000000000000000−2i22i200i2−i2−i2i2i6−i6−i6i600000000000000000000000000
χ944-4-444-200000042-42-2-423−23−232300-2002-2200000023−23−23230000000000000000000000002i2−2i200−i2i2i2−i2−i6i6i6−i600000000000000000000000000
χ954-4-444-200000042-42-2-4−232323−2300-2002-22000000−232323−23000000000000000000000000−2i22i200i2−i2−i2i2−i6i6i6−i600000000000000000000000000
χ964-4-444-200000042-42-2-4−232323−2300-2002-22000000−232323−230000000000000000000000002i2−2i200−i2i2i2−i2i6−i6−i6i600000000000000000000000000
χ9788-8-8-48000000484-8-8-4000000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000004-4444-4−4i34i3−4i34i300200-2-220000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000004-4444-44i3−4i34i3−4i300200-2-22000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48000000-4-84-884000000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000-4444-4443−43−434300200-22-2000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000-4444-44−434343−4300200-22-200000023−23−232300000000000000000000000000000000000000000000000000000000000000

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