Finite Group Databasebeta

← Group #11812879

Character table — Group #11812879

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122222222222336666666666666636666666666666664444246666666666661212121212121212224444444412121212121212121212121212121212446612121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-111
χ911111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-111-1-111
χ1011111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-111-1-1
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-1-1-11111
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-111-1-111-1-1
χ1411111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-111-1-111
χ1511111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1
χ1611111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1-111-1-1-1-11111
χ172222222222222-1222-1-1-1-1-1222-12-1-12222-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200222200000000-1-1-1-1-1-1-1-100-1-10000-1-100000000
χ182222222222222-1222-1-1-1-1-1222-12-1-12222-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200-2-2-2-20000000011111111001100001100000000
χ192222222222222-1222-1-1-1-1-1222-12-1-12222-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-211-1-1-1-11111-2-2111111222200-2-2-2-2000000001111111100-1-10000-1-100000000
χ202222222222222-1222-1-1-1-1-1222-12-1-12222-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-211-1-1-1-11111-2-2111111-2-2-2-200222200000000-1-1-1-1-1-1-1-1001100001100000000
χ21222222222222-12-1-1-122222-1-1-12-12-1-1-1-1-12222-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ22222222222222-12-1-1-122222-1-1-12-12-1-1-1-1-12222-1-1-1-1-1-1-12222-2-211-2-2-1-1-1-1111111-2-211110000220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ23222222222222-12-1-1-122222-1-1-12-12-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-200001111111100000000-2-20011110000000000
χ24222222222222-12-1-1-122222-1-1-12-12-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-2-2-211-2-2-1-1-1-1111111-2-211110000-2-2000011111111000000002200-1-1-1-10000000000
χ2522222222-2-2-2-22-1222-1-1-1-1-1222-12-1-1-2-2-2-21111-1-1-1-1-1-1-100002-222-1-11111-1-1-1-1-2-211111122-2-20022-2-200000000-1-1-1-1111100-1-100001100000000
χ2622222222-2-2-2-22-1222-1-1-1-1-1222-12-1-1-2-2-2-21111-1-1-1-1-1-1-100002-222-1-11111-1-1-1-1-2-2111111-2-22200-2-222000000001111-1-1-1-100110000-1-100000000
χ2722222222-2-2-2-22-1222-1-1-1-1-1222-12-1-1-2-2-2-21111-1-1-1-1-1-1-10000-22-2-2111111111122-1-1-1-1-1-122-2-200-2-222000000001111-1-1-1-100-1-100001100000000
χ2822222222-2-2-2-22-1222-1-1-1-1-1222-12-1-1-2-2-2-21111-1-1-1-1-1-1-10000-22-2-2111111111122-1-1-1-1-1-1-2-2220022-2-200000000-1-1-1-1111100110000-1-100000000
χ2922222222-2-2-2-2-12-1-1-122222-1-1-12-12-11111-2-2-2-2-1-1-1-1-1-1-122222-2-1-1221111-1-1-1-111-2-211110000-2-20000-1-1-1-11111000000002-200-1-1110000000000
χ3022222222-2-2-2-2-12-1-1-122222-1-1-12-12-11111-2-2-2-2-1-1-1-1-1-1-12222-2211-2-211111111-1-122-1-1-1-10000-2-20000-1-1-1-1111100000000-220011-1-10000000000
χ3122222222-2-2-2-2-12-1-1-122222-1-1-12-12-11111-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22-2-1-1221111-1-1-1-111-2-2111100002200001111-1-1-1-100000000-220011-1-10000000000
χ3222222222-2-2-2-2-12-1-1-122222-1-1-12-12-11111-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2211-2-211111111-1-122-1-1-1-100002200001111-1-1-1-1000000002-200-1-1110000000000
χ3322-2-22-22-222-2-22222-222-2-2-22-2-22-2-2222-2-222-2-222-2-2-2-222i2i−2i−2i00000022-2-200000000000000002i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ3422-2-22-22-222-2-22222-222-2-2-22-2-22-2-2222-2-222-2-222-2-2-2-22−2i−2i2i2i00000022-2-20000000000000000−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ3522-2-22-22-222-2-2-12-1-1122-2-2-2-11121-2-1-1-11122-2-2-1-11111-12i2i−2i−2i00−i3i300-1-111−i3−i3i3i3−i3i300−i3−i3i3i300002i−2i0000−i−iii−i−iii0000000000003−33−30000000000
χ3622-2-22-22-222-2-2-12-1-1122-2-2-2-11121-2-1-1-11122-2-2-1-11111-12i2i−2i−2i00i3−i300-1-111i3i3−i3−i3i3−i300i3i3−i3−i300002i−2i0000−i−iii−i−iii000000000000−33−330000000000
χ3722-2-22-22-222-2-2-12-1-1122-2-2-2-11121-2-1-1-11122-2-2-1-11111-1−2i−2i2i2i00−i3i300-1-111−i3−i3i3i3−i3i300−i3−i3i3i30000−2i2i0000ii−i−iii−i−i000000000000−33−330000000000
χ3822-2-22-22-222-2-2-12-1-1122-2-2-2-11121-2-1-1-11122-2-2-1-11111-1−2i−2i2i2i00i3−i300-1-111i3i3−i3−i3i3−i300i3i3−i3−i30000−2i2i0000ii−i−iii−i−i0000000000003−33−30000000000
χ3922-2-22-22-2-2-2222222-222-2-2-22-2-22-2-22-2-222-2-22222-2-2-2-222i2i−2i−2i000000-2-2220000000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ4022-2-22-22-2-2-2222222-222-2-2-22-2-22-2-22-2-222-2-22222-2-2-2-22−2i−2i2i2i000000-2-22200000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ4122-2-22-22-2-2-222-12-1-1122-2-2-2-11121-2-111-1-1-2-222-1-11111-12i2i−2i−2i00−i3i30011-1-1−i3−i3i3i3i3−i300i3i3−i3−i30000−2i2i0000−i−iiiii−i−i0000000000003−3−330000000000
χ4222-2-22-22-2-2-222-12-1-1122-2-2-2-11121-2-111-1-1-2-222-1-11111-12i2i−2i−2i00i3−i30011-1-1i3i3−i3−i3−i3i300−i3−i3i3i30000−2i2i0000−i−iiiii−i−i000000000000−333−30000000000
χ4322-2-22-22-2-2-222-12-1-1122-2-2-2-11121-2-111-1-1-2-222-1-11111-1−2i−2i2i2i00−i3i30011-1-1−i3−i3i3i3i3−i300i3i3−i3−i300002i−2i0000ii−i−i−i−iii000000000000−333−30000000000
χ4422-2-22-22-2-2-222-12-1-1122-2-2-2-11121-2-111-1-1-2-222-1-11111-1−2i−2i2i2i00i3−i30011-1-1i3i3−i3−i3−i3i300−i3−i3i3i300002i−2i0000ii−i−i−i−iii0000000000003−3−330000000000
χ452-2222-2-2-22-22-222-2-2-2-2-222-22222-2-222-22-22-22-2-2-222-2-2200000000002-22-20000000000000000000000000000000000000000000000002i−2i00002i−2i
χ462-2222-2-2-22-22-222-2-2-2-2-222-22222-2-222-22-22-22-2-2-222-2-2200000000002-22-2000000000000000000000000000000000000000000000000−2i2i0000−2i2i
χ472-2222-2-2-2-22-2222-2-2-2-2-222-22222-2-22-22-22-22-22-2-222-2-220000000000-22-220000000000000000000000000000000000000000000000002i−2i0000−2i2i
χ482-2222-2-2-2-22-2222-2-2-2-2-222-22222-2-22-22-22-22-22-2-222-2-220000000000-22-22000000000000000000000000000000000000000000000000−2i2i00002i−2i
χ492-22-2-222-20000222-222-22-22-22-2-2-2-22000000002-22-22-2-22i−2i2i−2i0000000000000000000000000000002i−2i2i−2i2i−2i000000002i2i−2i−2i000000000000002-200
χ502-22-2-222-20000222-222-22-22-22-2-2-2-22000000002-22-22-2-22i−2i2i−2i000000000000000000000000000000−2i2i2i−2i2i−2i00000000−2i−2i2i2i00000000000000-2200
χ512-22-2-222-20000222-222-22-22-22-2-2-2-22000000002-22-22-2-2−2i2i−2i2i0000000000000000000000000000002i−2i−2i2i−2i2i000000002i2i−2i−2i00000000000000-2200
χ522-22-2-222-20000222-222-22-22-22-2-2-2-22000000002-22-22-2-2−2i2i−2i2i000000000000000000000000000000−2i2i−2i2i−2i2i00000000−2i−2i2i2i000000000000002-200
χ532-2-22-2-2220000222-2-22-2-22-2-2-22-2222000000002-2-22-22-22-2-2200000000000000000000000000002-2002-2-22000022-2-200000000000000002-20000
χ542-2-22-2-2220000222-2-22-2-22-2-2-22-2222000000002-2-22-22-22-2-220000000000000000000000000000-22002-2-220000-2-2220000000000000000-220000
χ552-2-22-2-2220000222-2-22-2-22-2-2-22-2222000000002-2-22-22-2-222-200000000000000000000000000002-200-222-2000022-2-20000000000000000-220000
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χ572-2-2-222-222-2-2222-2-22-2-2-2-222-2-222222-2-222-2-22-2-2-2-222200000000002-2-220000000000002-22-20000000000000000000000002-200002-200000000
χ582-2-2-222-222-2-2222-2-22-2-2-2-222-2-222222-2-222-2-22-2-2-2-222200000000002-2-22000000000000-22-22000000000000000000000000-220000-2200000000
χ592-2-2-222-222-2-222-1-2-221111-12-2-2-12-1-12-2-22-111-11111-1-1-100000000−i3i3-111-1−i3i3−i3i300−i3i3−i3i3−i3i32-22-200000000000000−i3i3−i3i3−i3i3−i3i300-110000-1100000000
χ602-2-2-222-222-2-222-1-2-221111-12-2-2-12-1-12-2-22-111-11111-1-1-100000000−i3i3-111-1−i3i3−i3i300−i3i3−i3i3−i3i3-22-2200000000000000i3−i3i3−i3i3−i3i3−i3001-100001-100000000
χ612-2-2-222-222-2-222-1-2-221111-12-2-2-12-1-12-2-22-111-11111-1-1-100000000i3−i3-111-1i3−i3i3−i300i3−i3i3−i3i3−i32-22-200000000000000i3−i3i3−i3i3−i3i3−i300-110000-1100000000
χ622-2-2-222-222-2-222-1-2-221111-12-2-2-12-1-12-2-22-111-11111-1-1-100000000i3−i3-111-1i3−i3i3−i300i3−i3i3−i3i3−i3-22-2200000000000000−i3i3−i3i3−i3i3−i3i3001-100001-100000000
χ632-2-2-222-22-222-222-2-22-2-2-2-222-2-22222-222-2-222-2-2-2-2-22220000000000-222-20000000000002-2-220000000000000000000000002-20000-2200000000
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χ69444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111000044-2-2-2-211111111-2-2-2-2111100000000000000000000000000000000000000000000
χ70444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111110000-4-422221111-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000
χ7144444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2122222222111111100004-4-2-2-2-2-1-1-1-111112222-1-1-1-100000000000000000000000000000000000000000000
χ7244444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-212222222211111110000-442222-1-1-1-1-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000
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χ8544-4-44-44-444-4-4-2-2-2-22-2-2222-222-2221-2-222-2-22211-1-1-1-110000002i3−2i30011-1-1−i3−i3i3i32i3−2i300−i3−i3i3i300000000000000000000000000000000000000000000
χ8644-4-44-44-4-4-4444-244-4-2-22224-4-4-2-42-2-4-44422-2-2-2-22222-2000000000022-2-200000000000000000000000000000000000000000000000000000000
χ8744-4-44-44-4-4-444-2-2-2-22-2-2222-222-222122-2-222-2-211-1-1-1-11000000−2i32i300-1-111i3i3−i3−i32i3−2i300−i3−i3i3i300000000000000000000000000000000000000000000
χ8844-4-44-44-4-4-444-2-2-2-22-2-2222-222-222122-2-222-2-211-1-1-1-110000002i3−2i300-1-111−i3−i3i3i3−2i32i300i3i3−i3−i300000000000000000000000000000000000000000000
χ894-4444-4-4-44-44-44-2-4-4-422-2-22444-2-42-24-44-4-22-2222-2-222-20000000000-22-2200000000000000000000000000000000000000000000000000000000
χ904-4444-4-4-44-44-4-24222-4-444-4-2-2-242-4-2-22-224-44-422-2-222-20000000000-22-2200000000000000000000000000000000000000000000000000000000
χ914-4444-4-4-44-44-4-2-222222-2-22-2-2-2-2221-22-22-22-22-1-111-1-1100000000001-11-13-3-3300003-3-3300000000000000000000000000000000000000000000
χ924-4444-4-4-44-44-4-2-222222-2-22-2-2-2-2221-22-22-22-22-1-111-1-1100000000001-11-1-333-30000-333-300000000000000000000000000000000000000000000
χ934-4444-4-4-4-44-444-2-4-4-422-2-22444-2-42-2-44-442-22-222-2-222-200000000002-22-200000000000000000000000000000000000000000000000000000000
χ944-4444-4-4-4-44-44-24222-4-444-4-2-2-242-4-22-22-2-44-4422-2-222-200000000002-22-200000000000000000000000000000000000000000000000000000000
χ954-4444-4-4-4-44-44-2-222222-2-22-2-2-2-22212-22-22-22-2-1-111-1-110000000000-11-113-3-330000-333-300000000000000000000000000000000000000000000
χ964-4444-4-4-4-44-44-2-222222-2-22-2-2-2-22212-22-22-22-2-1-111-1-110000000000-11-11-333-300003-3-3300000000000000000000000000000000000000000000
χ974-44-4-444-400004-24-44-22-22-2-44-42-42-200000000-22-22-22200000000000000000000000000000000004i−4i000000000000−2i−2i2i2i000000000000000000
χ984-44-4-444-400004-24-44-22-22-2-44-42-42-200000000-22-22-2220000000000000000000000000000000000−4i4i0000000000002i2i−2i−2i000000000000000000
χ994-44-4-444-40000-24-22-24-44-442-22-42-4-200000000-22-22-2224i−4i4i−4i00000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ1004-44-4-444-40000-24-22-24-44-442-22-42-4-200000000-22-22-222−4i4i−4i4i000000000000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ1014-4-44-4-44400004-24-4-4-222-22-4-4424-2-200000000-222-22-22000000000000000000000000000000004-40000000000-2-2220000000000000000000000
χ1024-4-44-4-44400004-24-4-4-222-22-4-4424-2-200000000-222-22-2200000000000000000000000000000000-44000000000022-2-20000000000000000000000
χ1034-4-44-4-4440000-24-2224-4-44-422-2-4-24-200000000-222-22-224-4-4400000000000000000000000000000000-222-2000000000000000000000000000000
χ1044-4-44-4-4440000-24-2224-4-44-422-2-4-24-200000000-222-22-22-444-4000000000000000000000000000000002-2-22000000000000000000000000000000
χ1054-4-4-444-444-4-44-2422-2-4-4-4-44-2224-24-2-222-24-4-442222-2-2-20000000000-222-200000000000000000000000000000000000000000000000000000000
χ1064-4-4-444-444-4-44-2-222-22222-2-222-2-2-21-222-2-222-2-1-1-1-111100000000−2i32i31-1-11i3−i3i3−i300−2i32i3i3−i3i3−i300000000000000000000000000000000000000000000
χ1074-4-4-444-444-4-44-2-222-22222-2-222-2-2-21-222-2-222-2-1-1-1-1111000000002i3−2i31-1-11−i3i3−i3i3002i3−2i3−i3i3−i3i300000000000000000000000000000000000000000000
χ1084-4-4-444-44-444-4-2422-2-4-4-4-44-2224-24-22-2-22-444-42222-2-2-200000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1094-4-4-444-44-444-4-2-222-22222-2-222-2-2-212-2-222-2-22-1-1-1-111100000000−2i32i3-111-1i3−i3i3−i3002i3−2i3−i3i3−i3i300000000000000000000000000000000000000000000
χ1104-4-4-444-44-444-4-2-222-22222-2-222-2-2-212-2-222-2-22-1-1-1-1111000000002i3−2i3-111-1−i3i3−i3i300−2i32i3i3−i3i3−i300000000000000000000000000000000000000000000
χ111888-8-8-8-880000-4-44-444-4-4444-444-4-4200000000-222-2-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-88-8-80000-4-44-4-44-44-4-444-4444200000000-22-222-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-80000-4-4-44-4-44-44-44-444442000000002-22-22-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-8-8880000-4-4-444-444-4444-44-4-42000000002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000000000

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