Finite Group Databasebeta

← Group #11808749

Character table — Group #11808749

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444223444466666666666121212121212121212121212121212126666661212121212121212121212122244444444444466661212121212121212121212121212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ811111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ17222222222-1222-1-1-1-12-122-12-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122220000220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-1-1-12-122-12-12222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2000022000011111111-1-1-1-10000000000000000
χ19222222222-1222-1-1-1-12-122-12-122222222-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2111122-2-2-1-1-1-11111-2-2220000-2-200001111-1-1-1-111110000000000000000
χ20222222222-1222-1-1-1-12-122-12-122222222-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2221111-1-1-1-122-2-20000-2-20000-1-1-1-1111111110000000000000000
χ21222222222-1222-1-1-1-12-122-12-1-2-2-2-2-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-200001111111111110000000000000000
χ22222222222-1222-1-1-1-12-122-12-1-2-2-2-2-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-2-2-2-21111111122220000-2-20000-1-1-1-1-1-1-1-111110000000000000000
χ23222222222-1222-1-1-1-12-122-12-1-2-2-2-2-2-2-2-2-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2111122-2-2-1-1-1-1111122-2-20000220000-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-1222-1-1-1-12-122-12-1-2-2-2-2-2-2-2-2-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-111111111-2-21111-2-2221111-1-1-1-1-2-22200002200001111-1-1-1-1-1-1-1-10000000000000000
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χ2622222222-12-1-1-12222-12-1-12-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-2-2-20000000000001111111100000000
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χ672-22-2-2-22222-22-22-2-22-2-22-2-222-22-222-22-2002000000002-2-22-2-2200000000-22-222-22-200000000000000000000002-2000000000000000000002-20000000000-2200
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χ692-2-22-22-22222-2-2-222-2-2-2-22-2222-2-222-2-2200200000000-222-2-2-22000000002-2-222-2-220000000000000000000000002-2000000000000000000002-200000000002-2
χ702-2-22-22-22222-2-2-222-2-2-2-22-2222-2-222-2-2200200000000-222-2-2-22000000002-2-222-2-22000000000000000000000000-2200000000000000000000-220000000000-22
χ712-2-22-22-22222-2-2-222-2-2-2-22-222-222-2-222-200200000000-222-2-2-2200000000-222-2-222-20000000000000000000000002-2000000000000000000002-20000000000-22
χ722-2-22-22-22222-2-2-222-2-2-2-22-222-222-2-222-200200000000-222-2-2-2200000000-222-2-222-2000000000000000000000000-2200000000000000000000-2200000000002-2
χ732-2-2-2222-222222-22-22-2-2-2-22-2-22i−2i−2i2i−2i2i2i−2i2-2200002-2-22-22-222-2-2000000002i−2i−2i2i−2i2i2i−2i2-22-2-22000000000000000000002i−2i0000000000002i−2i−2i2i0000000000000000
χ742-2-2-2222-222222-22-22-2-2-2-22-2-22i−2i−2i2i−2i2i2i−2i-2220000-222-2-22-222-2-2000000002i−2i−2i2i−2i2i2i−2i-22-222-200000000000000000000−2i2i000000000000−2i2i2i−2i0000000000000000
χ752-2-2-2222-222222-22-22-2-2-2-22-2-2−2i2i2i−2i2i−2i−2i2i2-2200002-2-22-22-222-2-200000000−2i2i2i−2i2i−2i−2i2i2-22-2-2200000000000000000000−2i2i000000000000−2i2i2i−2i0000000000000000
χ762-2-2-2222-222222-22-22-2-2-2-22-2-2−2i2i2i−2i2i−2i−2i2i-2220000-222-2-22-222-2-200000000−2i2i2i−2i2i−2i−2i2i-22-222-2000000000000000000002i−2i0000000000002i−2i−2i2i0000000000000000
χ772-2-2-2222-22-12221-11-1-21-2-2-1-212i−2i−2i2i−2i2i2i−2i2-2-10000-111-11-11-1-1113−3−333−3−33−iii−ii−i−ii2-2-111-100003−3−333−3−33000000002i−2i0000−i3i3i3−i3−i3i3i3−i3−iii−i0000000000000000
χ782-2-2-2222-22-12221-11-1-21-2-2-1-212i−2i−2i2i−2i2i2i−2i2-2-10000-111-11-11-1-111−333−3−333−3−iii−ii−i−ii2-2-111-10000−333−3−333−3000000002i−2i0000i3−i3−i3i3i3−i3−i3i3−iii−i0000000000000000
χ792-2-2-2222-22-12221-11-1-21-2-2-1-212i−2i−2i2i−2i2i2i−2i-22-100001-1-111-11-1-1113−3−33−333−3−iii−ii−i−ii-221-1-1100003−3−33−333−300000000−2i2i0000i3−i3−i3i3−i3i3i3−i3i−i−ii0000000000000000
χ802-2-2-2222-22-12221-11-1-21-2-2-1-212i−2i−2i2i−2i2i2i−2i-22-100001-1-111-11-1-111−333−33−3−33−iii−ii−i−ii-221-1-110000−333−33−3−3300000000−2i2i0000−i3i3i3−i3i3−i3−i3i3i−i−ii0000000000000000
χ812-2-2-2222-22-12221-11-1-21-2-2-1-21−2i2i2i−2i2i−2i−2i2i2-2-10000-111-11-11-1-1113−3−333−3−33i−i−ii−iii−i2-2-111-100003−3−333−3−3300000000−2i2i0000i3−i3−i3i3i3−i3−i3i3i−i−ii0000000000000000
χ822-2-2-2222-22-12221-11-1-21-2-2-1-21−2i2i2i−2i2i−2i−2i2i2-2-10000-111-11-11-1-111−333−3−333−3i−i−ii−iii−i2-2-111-10000−333−3−333−300000000−2i2i0000−i3i3i3−i3−i3i3i3−i3i−i−ii0000000000000000
χ832-2-2-2222-22-12221-11-1-21-2-2-1-21−2i2i2i−2i2i−2i−2i2i-22-100001-1-111-11-1-1113−3−33−333−3i−i−ii−iii−i-221-1-1100003−3−33−333−3000000002i−2i0000−i3i3i3−i3i3−i3−i3i3−iii−i0000000000000000
χ842-2-2-2222-22-12221-11-1-21-2-2-1-21−2i2i2i−2i2i−2i−2i2i-22-100001-1-111-11-1-111−333−33−3−33i−i−ii−iii−i-221-1-110000−333−33−3−33000000002i−2i0000i3−i3−i3i3−i3i3i3−i3−iii−i0000000000000000
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000004414444-2-2-2-21111111-2-2-2-2-2-2-2-200000000-2-21111-2-2-2-211111111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000441-4-4-4-4-2-2-2-211111112222222200000000-2-211112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4144-4-422221111111-2-2-2-222220000000022-1-1-1-1-2-2221111-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-41-4-444222211111112222-2-2-2-20000000022-1-1-1-122-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ89444-4-44-4-44-24-4-4-2-2224-24-42-424i4i4i4i−4i−4i−4i−4i00-200000000-2-2222-2200000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000
χ90444-4-44-4-44-24-4-4-2-2224-24-42-42−4i−4i−4i−4i4i4i4i4i00-200000000-2-2222-22000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ91444-4-44-4-4-24-22244-4-4-24-22-42-40000000000-200000000-2-2222-2200000000000000000000000000000000000000000000004i−4i000000000000000000−2i2i00000000
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χ9344-44-4-44-44-2-44-422-2-24-2-442-424i4i−4i−4i4i4i−4i−4i00-20000000022-2-22-2200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ9444-44-4-44-44-2-44-422-2-24-2-442-42−4i−4i4i4i−4i−4i4i4i00-20000000022-2-22-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ9544-44-4-44-4-242-22-4-444-242-2-42-40000000000-20000000022-2-22-22000000000000000000000000000000000000000000004i−4i000000000000000000−2i2i0000000000
χ9644-44-4-44-4-242-22-4-444-242-2-42-40000000000-20000000022-2-22-2200000000000000000000000000000000000000000000−4i4i0000000000000000002i−2i0000000000
χ9744-4-44-4-44-2422-2-4-4-4-4-24224-240000000000-24-40000002222-2-2-244-4-4000000000000000000-2200-2-2220000000000000000000000000000000000000000000000
χ9844-4-44-4-44-2422-2-4-4-4-4-24224-240000000000-2-440000002222-2-2-2-4-4440000000000000000002-20022-2-20000000000000000000000000000000000000000000000
χ9944-4-44-4-44-2-222-22222-2-222-2-2-2000000000014-400−2i3−2i32i32i3-1-1-1-1111-2-222−2i3−2i32i32i30000000000i3i3−i3−i3-220011-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ10044-4-44-4-44-2-222-22222-2-222-2-2-2000000000014-4002i32i3−2i3−2i3-1-1-1-1111-2-2222i32i3−2i3−2i30000000000−i3−i3i3i3-220011-1-1−i3−i3i3i3000000000000000000000000000000000000000000
χ10144-4-44-4-44-2-222-22222-2-222-2-2-200000000001-4400−2i3−2i32i32i3-1-1-1-111122-2-22i32i3−2i3−2i30000000000i3i3−i3−i32-200-1-111−i3−i3i3i3000000000000000000000000000000000000000000
χ10244-4-44-4-44-2-222-22222-2-222-2-2-200000000001-44002i32i3−2i3−2i3-1-1-1-111122-2-2−2i3−2i32i32i30000000000−i3−i3i3i32-200-1-111i3i3−i3−i3000000000000000000000000000000000000000000
χ1034-4444-4-4-4-2422-24-44-42-4-2-242-40000000000-2004i−4i0000-22-22-22200004i−4i4i−4i0000000000000000−2i2i0000−2i2i−2i2i000000000000000000000000000000000000000000
χ1044-4444-4-4-4-2422-24-44-42-4-2-242-40000000000-200−4i4i0000-22-22-2220000−4i4i−4i4i00000000000000002i−2i00002i−2i2i−2i000000000000000000000000000000000000000000
χ1054-4444-4-4-4-2-222-2-22-2222-2-2-22200000000001004i−4i−2i32i3−2i32i31-11-11-1-123−2323−23−2i2i−2i2i0000000000i3−i3i3−i300−2i2i−33−33i−ii−i000000000000000000000000000000000000000000
χ1064-4444-4-4-4-2-222-2-22-2222-2-2-22200000000001004i−4i2i3−2i32i3−2i31-11-11-1-1−2323−2323−2i2i−2i2i0000000000−i3i3−i3i300−2i2i3−33−3i−ii−i000000000000000000000000000000000000000000
χ1074-4444-4-4-4-2-222-2-22-2222-2-2-2220000000000100−4i4i−2i32i3−2i32i31-11-11-1-1−2323−23232i−2i2i−2i0000000000i3−i3i3−i3002i−2i3−33−3−ii−ii000000000000000000000000000000000000000000
χ1084-4444-4-4-4-2-222-2-22-2222-2-2-2220000000000100−4i4i2i3−2i32i3−2i31-11-11-1-123−2323−232i−2i2i−2i0000000000−i3i3−i3i3002i−2i−33−33−ii−ii000000000000000000000000000000000000000000
χ1094-44-4-4-4444-2-44-4-222-2-424-424-24-44-4-44-4400-200000000-222-222-200000000-22-222-22-2000000000000000000000000000000000000000000000000000000000000
χ1104-44-4-4-4444-2-44-4-222-2-424-424-2-44-444-44-400-200000000-222-222-2000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000
χ1114-44-4-4-444-242-224-4-442-4-22-4-240000000000-200000000-222-222-2000000000000000000000000000000000000004-400000000000000000000-2200000000000000
χ1124-44-4-4-444-242-224-4-442-4-22-4-240000000000-200000000-222-222-200000000000000000000000000000000000000-44000000000000000000002-200000000000000
χ1134-4-44-44-444-24-4-42-2-22-42-4424-24-4-444-4-4400-2000000002-2-2222-200000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-44-444-24-4-42-2-22-42-4424-2-444-4-444-400-2000000002-2-2222-2000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1154-4-44-44-44-24-222-444-42-42-2-4-240000000000-2000000002-2-2222-200000000000000000000000000000000000000004-400000000000000000000-22000000000000
χ1164-4-44-44-44-24-222-444-42-42-2-4-240000000000-2000000002-2-2222-20000000000000000000000000000000000000000-44000000000000000000002-2000000000000
χ1174-4-4-4444-4-24-2-2-2-44-442-42242-4000000004-4-200004-4-442-22-2-2220000000000000000-22-222-2000000000000000000000000000000000000000000000000000000
χ1184-4-4-4444-4-24-2-2-2-44-442-42242-400000000-44-20000-444-42-22-2-22200000000000000002-22-2-22000000000000000000000000000000000000000000000000000000
χ1194-4-4-4444-4-2-2-2-2-22-22-22222-222000000004-410000-222-2-11-111-1-123−23−232323−23−232300000000-221-1-110000−333−3−333−3000000000000000000000000000000000000000000
χ1204-4-4-4444-4-2-2-2-2-22-22-22222-222000000004-410000-222-2-11-111-1-1−232323−23−232323−2300000000-221-1-1100003−3−333−3−33000000000000000000000000000000000000000000
χ1214-4-4-4444-4-2-2-2-2-22-22-22222-22200000000-44100002-2-22-11-111-1-123−23−2323−232323−23000000002-2-111-10000−333−33−3−33000000000000000000000000000000000000000000
χ1224-4-4-4444-4-2-2-2-2-22-22-22222-22200000000-44100002-2-22-11-111-1-1−232323−2323−23−2323000000002-2-111-100003−3−33−333−3000000000000000000000000000000000000000000
χ123888-8-88-8-8-4-4-444-4-444-4-4-44444000000000020000000022-2-2-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-88-8-88-8-4-44-4444-4-4-4-44-44440000000000200000000-2-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-8-888-4-44-44-444-444-444-4-400000000002000000002-2-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-88-88-4-4-4444-4-44444-44-4-40000000000200000000-222-2-2-220000000000000000000000000000000000000000000000000000000000000000000000000000

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