Finite Group Databasebeta

← Group #13172736

Character table — Group #13172736

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order1222223336666666663336666666666666663666666666666622222224446666121212122244444444666666666666661212121212121212121266121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-111-11111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
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
χ511111111111111111111111111111111111111111111111111-1-1-1-11-111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1111-11111-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1111-1-11111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-11-1-11-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-11111-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-111111-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-1-1111-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-1
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-11
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χ914-4-444-4-2-2422-4-4-2-24221-2-2-22-224-4-1-122221-2-211-1-22-22-1-1111-1-100000000000000000000000000000000000000003-3000000003-3000000000000
χ924-4-444-4-2-2422-4-4-2-24221-2-2-22-224-4-1-122221-2-211-1-22-22-1-1111-1-10000000000000000000000000000000000000000-3300000000-33000000000000
χ934-4-44-444-24-42-4-44-24-42-24-2-442-2-4422-4-422-24-2-22-2-442-222-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-444-2-2-42224-2-2-42-2-21-442-22-22222-1-1-2-2112-22-2-11-1-11-1-111000000000000−2i32i3002i3−2i300000000000000000000i3−i300000000−i3i300000000000000
χ954-4-44-444-2-2-42224-2-2-42-2-21-442-22-22222-1-1-2-2112-22-2-11-1-11-1-1110000000000002i3−2i300−2i32i300000000000000000000−i3i300000000i3−i300000000000000
χ964-4-44-44-2442-4-4-4-2442-4-2-242-2-44-442222-4-4-2-24-22-22-2-4422-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ974-4-44-44-24-22-422-24-22-4-21-22-2-442-222-1-122-21-212-2-112-2-1-11-1-1110000000000−2i32i3002i3−2i300000000000000000000i3−i300000000−i3i30000000000000000
χ984-4-44-44-24-22-422-24-22-4-21-22-2-442-222-1-122-21-212-2-112-2-1-11-1-11100000000002i3−2i300−2i32i300000000000000000000−i3i300000000i3−i30000000000000000
χ994-4-44-44-2-2422-4-4-2-24221-2-22-22-2-44-1-122221-2-21-112-22-2-1-11-1-11100000000000000000000000000000000000000003-300000000-33000000000000
χ1004-4-44-44-2-2422-4-4-2-24221-2-22-22-2-44-1-122221-2-21-112-22-2-1-11-1-1110000000000000000000000000000000000000000-33000000003-3000000000000
χ101888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-4222222222-1222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222222-1-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8008-4-48-4-44-844-84-4-42000000-44-442-244-220000002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-800-48-4-48-444-844-8-42-4000000-442-2-444-2420000002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-800-4-48-4-48-844-8442-4-40000002-2-44-44-24420000002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-4-4-4-4-4-44444442220000002-22-22-2-2-2-2-1000000-111−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-4-4-4-44444442220000002-22-22-2-2-2-2-1000000-1113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8008-4-4-844-4-8448-4-4-420000004-44-4-2244-22000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-48-44-84-44-84-48-42-40000004-4-224-44-242000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-4844-8844-8-4-42-4-4000000-224-44-4-2442000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-4-4444-4444-4-4222000000-22-22-22-2-2-2-10000001-11−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-4444-4444-4-4222000000-22-22-22-2-2-2-10000001-113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-8-4-4-44444-4-4-444222-44-44-44-2-2-2-2-2-2222-12-22-22-211-1-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-4-4-44444-4-4-4442224-44-44-4-2-2-2-2-2-2222-1-22-22-2211-111-1-10000000000000000000000000000000000000000000000000000000000000000

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