Finite Group Databasebeta

← Group #11789865

Character table — Group #11789865

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1-1-11-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1i−iii−i−i11-1-1ii−i−i1-1
χ1011-1-1-11-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−ii−i-1-111iiii−i−i−i−i-1-1-1-111111-1−ii−i−iii11-1-1−i−iii-11
χ1111-1-1-11-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii−ii11-1-1−i−i−i−iiiii1111-1-1-1-1-11i−iii−i−i-1-111−i−iii-11
χ1211-1-1-11-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii−ii-1-111−i−i−i−iiiii-1-1-1-11111-11−ii−i−iii-1-111ii−i−i1-1
χ1311-1-1-11-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii−i−iii-1-111ii−i−i-11
χ1411-1-1-11-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−ii−i-1-111iiii−i−i−i−i-1-1-1-11111-11i−iii−i−i-1-111−i−iii1-1
χ1511-1-1-11-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−ii−ii11-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii−i−iii11-1-1−i−iii1-1
χ1611-1-1-11-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−ii−ii-1-111−i−i−i−iiiii-1-1-1-111111-1i−iii−i−i11-1-1ii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-2000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-222-2-22200000000000000000000000000
χ19222222222-1222222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000022000000-1-1-1-1000000
χ20222222222-1222222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20000001111000000
χ21222222222-1222222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20000001111000000
χ22222222222-1222222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000022000000-1-1-1-1000000
χ23222222222-1-2-2-2-222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i322-2-20000-1-111-1-1110000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-2-222000011-1-111-1-10000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i322-2-20000-1-111-1-1110000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2-222000011-1-111-1-10000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-122-1-12-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10022-1-1-1-10000000000
χ2822222222-122222-1-122-1-12-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-211110000000000
χ2922222222-122222-1-122-1-12-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-211110000000000
χ3022222222-122222-1-122-1-12-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-200000000111111110022-1-1-1-10000000000
χ3122-2-2-22-2222-22-222222-2-2-22-2-2-2-2-22222-2-2-22-2-222-2-222-20000000000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ3222-2-2-22-2222-22-222222-2-2-22-2-2-2-2-22222-2-2-22-2-222-2-222-20000000000-2-22200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ3322-2-2-22-222-12-22-222-1-1-2-212-2111-2-1-1-1-1111-112-2-2-1-11122i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i−2i2i−2i0000−i−i−i−iiiii000000002-2000000-1-111000000
χ3422-2-2-22-222-12-22-222-1-1-2-212-2111-2-1-1-1-1111-112-2-2-1-11122i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−2i2i−2i2i0000iiii−i−i−i−i00000000-2200000011-1-1000000
χ3522-2-2-22-222-12-22-222-1-1-2-212-2111-2-1-1-1-1111-112-2-2-1-1112−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i−2i2i−2i0000−i−i−i−iiiii00000000-2200000011-1-1000000
χ3622-2-2-22-222-12-22-222-1-1-2-212-2111-2-1-1-1-1111-112-2-2-1-1112−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−2i2i−2i2i0000iiii−i−i−i−i000000002-2000000-1-111000000
χ3722-2-2-22-222-1-22-2222-1-1-2-212-2111-2-1-1-1-1111-11-22211-1-1-200003−300−3311-1-133−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i0000000000000000−i3i3i3−i3000000
χ3822-2-2-22-222-1-22-2222-1-1-2-212-2111-2-1-1-1-1111-11-22211-1-1-200003−300−3311-1-133−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii0000000000000000i3−i3−i3i3000000
χ3922-2-2-22-222-1-22-2222-1-1-2-212-2111-2-1-1-1-1111-11-22211-1-1-20000−33003−311-1-1−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i0000000000000000i3−i3−i3i3000000
χ4022-2-2-22-222-1-22-2222-1-1-2-212-2111-2-1-1-1-1111-11-22211-1-1-20000−33003−311-1-1−3−33333−3−3−2i2i2i−2i0000ii−i−i−i−iii0000000000000000−i3i3i3−i3000000
χ4122-2-2-22-22-122-22-2-1-12211-2-11-2-2-212-1-1-1111-11-11122-2-2-12i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-11111002i−2i−i−iii0000000000
χ4222-2-2-22-22-122-22-2-1-12211-2-11-2-2-212-1-1-1111-11-11122-2-2-12i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-100−2i2iii−i−i0000000000
χ4322-2-2-22-22-122-22-2-1-12211-2-11-2-2-212-1-1-1111-11-11122-2-2-1−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i000022-2-200000000-1-1-1-1111100−2i2iii−i−i0000000000
χ4422-2-2-22-22-122-22-2-1-12211-2-11-2-2-212-1-1-1111-11-11122-2-2-1−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000-2-222000000001111-1-1-1-1002i−2i−i−iii0000000000
χ452-222-22-2-2222-2-22-2-2-2-22-22222-2-2-222-2-22-2-22222-22-22-2-200000000002-22-20000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ462-222-22-2-2222-2-22-2-2-2-22-22222-2-2-222-2-22-2-22222-22-22-2-200000000002-22-2000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ472-222-22-2-222-222-2-2-2-2-22-22222-2-2-222-2-22-2-222-2-22-22-2220000000000-22-22000000000000000000000000000000000000000000002i−2i2i−2i00
χ482-222-22-2-222-222-2-2-2-2-22-22222-2-2-222-2-22-2-222-2-22-22-2220000000000-22-2200000000000000000000000000000000000000000000−2i2i−2i2i00
χ492-222-22-2-2-122-2-2211-2-2-112-1-12-2-212-111-111-1-1-1-112-22-2100−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i00000000−i−iii−i−iii00003−33−30000000000
χ502-222-22-2-2-122-2-2211-2-2-112-1-12-2-212-111-111-1-1-1-112-22-2100−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i00000000ii−i−iii−i−i0000−33−330000000000
χ512-222-22-2-2-122-2-2211-2-2-112-1-12-2-212-111-111-1-1-1-112-22-2100i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i00000000−i−iii−i−iii0000−33−330000000000
χ522-222-22-2-2-122-2-2211-2-2-112-1-12-2-212-111-111-1-1-1-112-22-2100i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i00000000ii−i−iii−i−i00003−33−30000000000
χ532-2-2-2222-22222-2-2-2-2-2-2-22-22-2-222222-2-2-2222-22-222-2-22-200000000002-2-220000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ542-2-2-2222-22222-2-2-2-2-2-2-22-22-2-222222-2-2-2222-22-222-2-22-200000000002-2-22000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ552-2-2-2222-222-2-222-2-2-2-2-22-22-2-222222-2-2-2222-2-22-2-222-220000000000-222-2000000000000000000000000000000000000000000002-2-2200
χ562-2-2-2222-222-2-222-2-2-2-2-22-22-2-222222-2-2-2222-2-22-2-222-220000000000-222-200000000000000000000000000000000000000000000-222-200
χ572-2-2-2222-2-1222-2-211-2-21-1-2-11-222-12-1111-1-1-11-11-12-2-221003−300−3300-111-13−33−3−33−3300002i−2i−2i2i00000000−i−iiiii−i−i0000i3−i3−i3i30000000000
χ582-2-2-2222-2-1222-2-211-2-21-1-2-11-222-12-1111-1-1-11-11-12-2-221003−300−3300-111-13−33−3−33−330000−2i2i2i−2i00000000ii−i−i−i−iii0000−i3i3i3−i30000000000
χ592-2-2-2222-2-1222-2-211-2-21-1-2-11-222-12-1111-1-1-11-11-12-2-22100−33003−300-111-1−33−333−33−300002i−2i−2i2i00000000−i−iiiii−i−i0000−i3i3i3−i30000000000
χ602-2-2-2222-2-1222-2-211-2-21-1-2-11-222-12-1111-1-1-11-11-12-2-22100−33003−300-111-1−33−333−33−30000−2i2i2i−2i00000000ii−i−i−i−iii0000i3−i3−i3i30000000000
χ6144444444-24-4-4-4-4-2-244-2-24-2-2444-24-2-2-2-2-2-2-2-2222-4-4-4-420000000000222200000000000000000000000000000000000000000000000000
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χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ7844-4-4-44-44-2-24-44-4-2-2-2-2222-222222-2111-1-1-11-1-222-2-222-2−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000
χ7944-4-4-44-44-2-2-44-44-2-2-2-2222-222222-2111-1-1-11-12-2-222-2-22000023−2300−2323-1-111−3−33333−3−3000000000000000000000000000000000000000000
χ8044-4-4-44-44-2-2-44-44-2-2-2-2222-222222-2111-1-1-11-12-2-222-2-220000−23230023−23-1-11133−3−3−3−333000000000000000000000000000000000000000000
χ814-444-44-4-44-24-4-44-4-4224-4-244-222-4-2-222-222-2-244-4-22-22-40000000000-22-2200000000000000000000000000000000000000000000000000
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χ854-444-44-4-4-2-24-4-442222-22-2-2-2-2222-21-1-11-1-111-2-22-22-222002i3−2i3002i3−2i3001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ864-444-44-4-4-2-2-444-42222-22-2-2-2-2222-21-1-11-1-11122-22-22-2-20000000000-11-113-3-333-3-33000000000000000000000000000000000000000000
χ874-444-44-4-4-2-2-444-42222-22-2-2-2-2222-21-1-11-1-11122-22-22-2-20000000000-11-11-333-3-333-3000000000000000000000000000000000000000000
χ884-44-44-4-44440000-44-44444-4-4-4-44-4-44-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-44-4-444-20000-442-244-2-4-422-2-42-22-2-22-22200000000000000000000000000000000000000−2i32i300−2i32i30000000000000000000000000000
χ904-44-44-4-444-20000-442-244-2-4-422-2-42-22-2-22-222000000000000000000000000000000000000002i3−2i3002i3−2i30000000000000000000000000000
χ914-44-44-4-44-2400002-2-44-2-2422-4-442-4-22-2-22-2220000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ924-44-44-4-44-2400002-2-44-2-2422-4-442-4-22-2-22-2220000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ934-4-44-4-444440000-44-44-4-4-4-4444-44-44-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-4-4444-20000-442-2-4-42-44-2-2242-22-22-222-20000000000000000000000000000000000000023−2300−23230000000000000000000000000000
χ954-4-44-4-4444-20000-442-2-4-42-44-2-2242-22-22-222-200000000000000000000000000000000000000−23230023−230000000000000000000000000000
χ964-4-44-4-444-2400002-2-4422-42-244-4-2-4-22-22-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ974-4-44-4-444-2400002-2-4422-42-244-4-2-4-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ984-4-4-4444-44-244-4-4-4-422-4424-42-2-24-2-2222-2-2-224-44-222-2-40000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-4444-44-2-4-444-4-422-4424-42-2-24-2-2222-2-2-22-44-42-2-22400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-24-4-44422-4-42-2-4-22-444-24-2222-2-2-222-22-444-4-200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-244-4-422222-22-222-2-2-2-21-1-1-1111-1-22-2-222-220023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-244-4-422222-22-222-2-2-2-21-1-1-1111-1-22-2-222-2200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-4-44422222-22-222-2-2-2-21-1-1-1111-12-222-2-22-20000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-4-44422222-22-222-2-2-2-21-1-1-1111-12-222-2-22-20000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ105888-8-8-88-8-4-40000-44-44-44-4444-44-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-888-8-8-8-4-40000-44-444-444-4-44-44422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-400004-44-4-4-4-44444-4442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8-888-4-400004-44-44444-4-4-44-442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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