Finite Group Databasebeta

← Group #13168120

Character table — Group #13168120

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-111-1-111-1-111-1-1-1-111111-11-111-1-111-1-111-1-111-1-111-1-111-1-1-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-111-1-1-1-111-1-111-1-111111-11-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-1-111-1-111-1-11111-11-11-1-111-1-11111-1-111-1-1-1-111-1-111-1-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-11111-1-111-1-1-1-11111-11-11-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-111-1-111-1-1-1-11111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-11111-1-111-1-1-1-11-1-1111-1-1-1-111-1-111-1-111-1-11111-1-1111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-111-1-111-1-1-1-11111-1-111-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111-1-11111-1-1-1-111111-1
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χ2822222-1222222-122-1-12-12-1-1-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2-2-20000-2-2-2-200002222000000001100001111-21-2111110000-1-1-1-10000
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χ914-4-44-2444-4-4-4-2422-4-44-2-242222-4-4-24-2-224-44-4-222-2-224-4-22-2-2220000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-244-44-4-4-2422-4-44-2-242222-4-4-24-22-2-44-44-222-22-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ934-4-44-24-24-422-2422-4-4-2-21-222-1-1221-2-2-224-4-221-1-111-1-22-2211-1-10000000000−2i32i3−2i32i30000000000000000000000i3−i3i3−i3000000000000000000000000
χ944-4-44-24-24-422-2422-4-4-2-21-222-1-1221-2-2-224-4-221-1-111-1-22-2211-1-100000000002i3−2i32i3−2i30000000000000000000000−i3i3−i3i3000000000000000000000000
χ954-4-44-24-2-4422-2422-4-4-2-21-222-1-1221-2-22-2-442-21-1-11-112-22-2-1-1110000000000−2i32i32i3−2i30000000000000000000000i3−i3−i3i3000000000000000000000000
χ964-4-44-24-2-4422-2422-4-4-2-21-222-1-1221-2-22-2-442-21-1-11-112-22-2-1-11100000000002i3−2i3−2i32i30000000000000000000000−i3i3i3−i3000000000000000000000000
χ974-4-44-2-244-4-4-4-2-2222241-2-2-1-12222-2-21-22-224-41-1-11-22-221-111-1-10000000000000000000000000000000000000000000000003-33-3000000000000
χ984-4-44-2-244-4-4-4-2-2222241-2-2-1-12222-2-21-22-224-41-1-11-22-221-111-1-1000000000000000000000000000000000000000000000000-33-33000000000000
χ994-4-44-2-24-44-4-4-2-2222241-2-2-1-12222-2-212-22-2-441-1-112-22-2-11-1-1110000000000000000000000000000000000000000000000003-3-33000000000000
χ1004-4-44-2-24-44-4-4-2-2222241-2-2-1-12222-2-212-22-2-441-1-112-22-2-11-1-111000000000000000000000000000000000000000000000000-333-3000000000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-400-44-848-8-444-4-42-44-442-24-2400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-400-444-8-448-84-42-4-442-2-44-24400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48008-844-44-44-82-4-42-2-44-4444-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-4444-44-4442222-22-22-2-2-2-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-4444-44-4442222-22-22-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4004-4-84-884-44-4-424-44-4-224-240000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4004-44-84-4-884-42-44-4-224-4-2440000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-88444-44-4-82-4-4-224-44-444-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-4444-44-44222-22-22-22-2-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004-4444-44-44222-22-22-22-2-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48-844-4-44444-4222-2-2-2-2-2-2222-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-8844-4-44444-4222-2-2-2-2-2-22224-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000

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