Finite Group Databasebeta

← Group #11789908

Character table — Group #11789908

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122222223344446666666666666636666666121212121212121222666666666666666612121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1i−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-1ii−i−i11-1-1ii−i−ii−i
χ1011-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1i−ii−i-1-111iiii−i−i−i−i-1-1-1-11111i−i-11ii−i−i-1-111−i−iii−ii
χ1111-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-1−i−iii11-1-1−i−iii−ii
χ1211-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii-1-111−i−i−i−iiiii-1-1-1-11111−ii-11−i−iii-1-111ii−i−ii−i
χ1311-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1i−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii-11−i−iii-1-111ii−i−i−ii
χ1411-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1i−ii−i-1-111iiii−i−i−i−i-1-1-1-11111−ii1-1−i−iii11-1-1−i−iiii−i
χ1511-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1−ii−ii11-1-1−i−i−i−iiiii1111-1-1-1-1i−i-11ii−i−i-1-111−i−iiii−i
χ1611-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1−ii−ii-1-111−i−i−i−iiiii-1-1-1-11111i−i1-1ii−i−i11-1-1ii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-222-2-2000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2220000-2-222-2-22200000000000000000000000000
χ19222222222-1222222-12-1-1-1-12-122-12-1-1-1-1-1-1-1-122-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ20222222222-1222222-12-1-1-1-12-122-12-1-1-1-1-1-1-1-122-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ21222222222-1222222-12-1-1-1-12-122-12-1-1-1-1-1-1-1-122-122-1-1-1-2-2-2-211-2-21111111111-1-1-1-10000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
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χ2322222222-122222-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-12-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ2422222222-122222-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-12-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ2522222222-122222-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-12-1-1222-2-211-2-211-2-211111111-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ2622222222-122222-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-12-1-1222-2-211-2-211-2-211111111-1-1-1-1-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2722222222-12-2-2-2-2-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-111-211-2-2-200−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3111122-2-20000-1-111-1-111000000000000−i3i3−i3i30000000000
χ2822222222-12-2-2-2-2-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-111-211-2-2-200−i3i300−i3i300−i3−i3i3i3−i3−i3i3i31111-2-222000011-1-111-1-1000000000000i3−i3i3−i30000000000
χ2922222222-12-2-2-2-2-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-111-211-2-2-200i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3111122-2-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ3022222222-12-2-2-2-2-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-111-211-2-2-200i3−i300i3−i300i3i3−i3−i3i3i3−i3−i31111-2-222000011-1-111-1-1000000000000−i3i3−i3i30000000000
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χ3422-22-22-2-22-12-22-222-1-211112-1-2-2-1-2-1-1-11111-122-1-2-211-12-222-1-1-2-211-1-1-1-11111-1-1110000-2-222000000001111-1-1-1-100-22000011-1-1000000
χ3522-22-22-2-22-12-22-222-1-211112-1-2-2-1-2-1-1-11111-122-1-2-211-1-22-2-21122-1-11111-1-1-1-1-1-111000022-2-200000000-1-1-1-1111100-22000011-1-1000000
χ3622-22-22-2-22-12-22-222-1-211112-1-2-2-1-2-1-1-11111-122-1-2-211-1-22-2-21122-1-11111-1-1-1-1-1-1110000-2-222000000001111-1-1-1-1002-20000-1-111000000
χ3722-22-22-2-2-122-22-2-1-121-2-2-2-2-121121-1-1-11111-1-1-1211-2-222-2-1-12211-2-2-1-1-1-11111-1-1112i−2i2i−2i0000−i−i−i−iiiii000000002i−2i00−i−iii0000000000
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χ3922-22-22-2-2-122-22-2-1-121-2-2-2-2-121121-1-1-11111-1-1-1211-2-22-2211-2-2-1-1221111-1-1-1-1-1-1112i−2i2i−2i0000−i−i−i−iiiii00000000−2i2i00ii−i−i0000000000
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χ864-444-4-44-4-2-2-444-4222-2-2-222-2-2222-21-1-111-1-112-222-22-2-200000000003-3-333-3-33-11-11000000000000000000000000000000000000000000
χ874-444-4-44-4-2-2-444-4222-2-2-222-2-2222-21-1-111-1-112-222-22-2-20000000000-333-3-333-3-11-11000000000000000000000000000000000000000000
χ884-44-4-44-44440000-44-444-4-44-4-4-444-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-4-44-444-20000-4424-222-2-42-44-2-4-22-2-222-220000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ904-44-4-44-444-20000-4424-222-2-42-44-2-4-22-2-222-220000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ914-44-4-44-44-2400002-2-4-24-4-442-42-242-22-2-222-220000000000000000000000000000000000000023−230023−230000000000000000000000000000
χ924-44-4-44-44-2400002-2-4-24-4-442-42-242-22-2-222-2200000000000000000000000000000000000000−232300−23230000000000000000000000000000
χ934-4-444-4-444-2-4-444-4-42-422-2-24-2442-4-22222-2-2-2-4424-4-22-20000000000000000002-2-22000000000000000000000000000000000000000000
χ944-4-444-4-44-2444-4-422-42-4-444-24-2-2-42-22222-2-2-2-2242-2-44-4000000000000000000-222-2000000000000000000000000000000000000000000
χ954-4-444-4-44-24-4-44422-42-4-444-24-2-2-42-22222-2-2-22-2-4-224-440000000000000000002-2-22000000000000000000000000000000000000000000
χ964-4-444-4-44-2-244-4-4222222-2-2-2-2-2-2221-1-1-1-1111-22-22-22-220000−2i32i3002i3−2i3i3−i3i3−i3−i3i3−i3i31-1-11000000000000000000000000000000000000000000
χ974-4-444-4-44-2-244-4-4222222-2-2-2-2-2-2221-1-1-1-1111-22-22-22-2200002i3−2i300−2i32i3−i3i3−i3i3i3−i3i3−i31-1-11000000000000000000000000000000000000000000
χ984-4-444-4-44-2-2-4-444222222-2-2-2-2-2-2221-1-1-1-11112-22-22-22-200000000003-3-33-333-3-111-1000000000000000000000000000000000000000000
χ994-4-444-4-44-2-2-4-444222222-2-2-2-2-2-2221-1-1-1-11112-22-22-22-20000000000-333-33-3-33-111-1000000000000000000000000000000000000000000
χ1004-4-4-4444-4440000-44-4-4-444-4-4-44-4444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-20000-442-42-2-22-424-4-24-22-22-2-2220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ1024-4-4-4444-44-20000-442-42-2-22-424-4-24-22-22-2-2220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ1034-4-4-4444-4-2400002-2-42-444-42-4-224-2-22-22-2-22200000000000000000000000000000000000000−2i32i3002i3−2i30000000000000000000000000000
χ1044-4-4-4444-4-2400002-2-42-444-42-4-224-2-22-22-2-222000000000000000000000000000000000000002i3−2i300−2i32i30000000000000000000000000000
χ105888-88-8-8-8-4-40000-44-4-4-44-4444-444422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-44-444-44-4444-44-422-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-400004-44-4-444-4444-4-442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-400004-4444-4-4444-44-4-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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