Finite Group Databasebeta

← Group #13156654

Character table — Group #13156654

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363654545454727272727272
order1222333446666666663336666666661212121212121212121244443666121212121212121212121212121212121212121212121212888844121212121212121212121212121212122424242488884412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
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χ12222222-122222-12-122-12-1-12-12-1-1-1-12-1222-1-1-1-1-1-122222-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000-2001100-2-200001111000000000-20011
χ13222222-122222-12-122-12-1-12-12-1-1-1-12-1222-1-1-1-1-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-211-2-2111111111100000200-1-100220000-1-1-1-1000000000-20011
χ14222222-122222-12-122-12-1-12-12-1-1-1-12-1222-1-1-1-1-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-211-2-2111111111100000-2001100-2-200001111000000000200-1-1
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χ944-4-444-2-2004-42222-4-2-2-2-21-2-222-1-112200000−3i3i3i−3i0−4i4i001-11-10000−3i3i3i−3i2i−2i2i−2i0000−i−iii-333-3000000000000000000000000000000000000
χ954-4-44-24400-22-4-4-4-4244-2-24-2-222-4-442200000000000000-22-2200000000000000000000000022−22−2222000000000000000000−222−20000000000
χ964-4-44-24400-22-4-4-4-4244-2-24-2-222-4-442200000000000000-22-22000000000000000000000000−222222−220000000000000000002−2−220000000000
χ978888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-40000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000
χ988888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-240000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-48-84-4-4-444444222-2-2222-2-2-2-24-44-4422-2-2-40000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-884-4-4-444444222-2-2222-2-2-2-2-44-44-4-2-22240000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000
χ1018-88-8-48-40044-848-4-4-84-42-44-24-24-44-420000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4800444-8-48-44-82-4-4-24-244-442-40000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4004444-4-4-444222-2-2-2-2-22-222000006i−6i6i−6i00000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4004444-4-4-444222-2-2-2-2-22-22200000−6i6i−6i6i00000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000
χ1058-8-88-48-400-44-84-8448-4-42-4-424-244-44-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4800-444-84-84-482-4-42-4-2444-4-24000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-400-4444444-4-422222-2-2-2-22-2-2000006i−6i−6i6i00000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-400-4444444-4-422222-2-2-2-22-2-200000−6i6i6i−6i00000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000

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