Finite Group Databasebeta

← Group #11824509

Character table — Group #11824509

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212122222444444666612121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-1-1-111-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-1111
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1111
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11111-1
χ17222222222-122222-1-1-1-1-1-12-12-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222002200000000000002-1-1-1-1-1-100-1-10000000
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χ2522222222-12-1-1-1-1-1222222-12-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-1000020000000-1-100-1-100000
χ2622222222-12-1-1-1-1-1222222-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-200111111110000-2000000011001100000
χ2722222222-12-1-1-1-1-1222222-12-1-122-2-2-1-1-1-1-1-1-111112222-222-1-1-2-2-2-211-1-1-1-111111111-2-2000022001111-1-1-1-10000-20000000-1-1001100000
χ2822222222-12-1-1-1-1-1222222-12-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-2-2-2-211-1-1-1-111111111220000-2-200-1-1-1-111110000200000001100-1-100000
χ2922222222-12-1-1-1-1-1222222-12-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-21122-2-2111111-1-1-1-11111220000-2-200-1-1-1-1-1-1-1-10000-2000000011001100000
χ3022222222-12-1-1-1-1-1222222-12-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21122-2-2111111-1-1-1-11111-2-20000220011111111000020000000-1-100-1-100000
χ3122222222-12-1-1-1-1-1222222-12-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-222-1-111111111-1-1-1-1-2-20000-2-2001111-1-1-1-10000200000001100-1-100000
χ3222222222-12-1-1-1-1-1222222-12-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-222-1-111111111-1-1-1-12200002200-1-1-1-111110000-20000000-1-1001100000
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χ984-4-4-4444-44-2-4-444-422-2-2-2242-4-200−4i4i22-2-22-22−4i4i−4i4i0000000002i−2i000000002i−2i2i−2i000000000000000000000000000000000000000000000
χ994-4-4-4444-4-2422-2-22-4-4444-4-2-42-2004i−4i22-2-22-22−2i2i−2i2i0000000004i−4i00000000−2i2i−2i2i000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-2422-2-22-4-4444-4-2-42-200−4i4i22-2-22-222i−2i2i−2i000000000−4i4i000000002i−2i2i−2i000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-222-2-2222-2-2-22-2221004i−4i-1-111-11-1−2i2i−2i2i000000000−2i2i00003-3-33i−ii−i−3i3i3i−3i00000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-222-2-2222-2-2-22-2221004i−4i-1-111-11-1−2i2i−2i2i000000000−2i2i0000-333-3i−ii−i3i−3i−3i3i00000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-222-2-2222-2-2-22-222100−4i4i-1-111-11-12i−2i2i−2i0000000002i−2i00003-3-33−ii−ii3i−3i−3i3i00000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-222-2-2222-2-2-22-222100−4i4i-1-111-11-12i−2i2i−2i0000000002i−2i0000-333-3−ii−ii−3i3i3i−3i00000000000000000000000000000000000000000
χ105888-8-88-8-8-4-4-4-4-444-4-4-444444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-88-8-4-4-444-4-4-4444-4-4444200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-44-44-444-444-444-4-420000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-88-4-444-44-444-444-44-4-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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