Finite Group Databasebeta

← Group #11867810

Character table — Group #11867810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121288882466666666661212121212121212121288888824242424242424244444121212121212121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111111-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-111-1-1-1-111-1-111-11-11-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-11-11-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-11-11-1-11111-1-1-1-111-11-111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-11111-1-111-1-1-11-11-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1111-11-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111-11-111-1-1-1-11111-1-1-11-111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1111-11-1-11
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χ192222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12002-1-1-1-100000000000000
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χ332222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-12-11111112-100002-2-1-12211-1-1-1-1-2-211-1-111110022-2-20000000002-200000-1-111-1-111000000
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χ432-22-22-22-122-2-2-2-2-1112-1-111-12-2-1111-1-122-2-1-1111-2−2i−2i2i2i0000−i3i3-11−i3−i3i3i3−i3i300-11−i3−i3i3i3−2i2i0000ii−i−iii−i−i0000−33−3300000000000000
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χ552-22-2-222-12-22-2-2-2-111211-1-1-1-221-111-1-12-2211-1-11-2−2i−2i2i2i0000−i3i31-1−i3−i3i3i3i3−i300-11i3i3−i3−i32i−2i0000ii−i−i−i−iii0000−333−300000000000000
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χ924-4-4400440000-44-4-44-4000040000-44-400000000002i2−2i2−2i22i200000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ934-4-44004-20000-4422-2-423−23−2323-200002-22000023−23−232300−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i2−i6i6i6−i60000000000000000000000
χ944-4-44004-20000-4422-2-423−23−2323-200002-22000023−23−2323002i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i2i6−i6−i6i60000000000000000000000
χ954-4-44004-20000-4422-2-4−232323−23-200002-220000−232323−2300−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i2i6−i6−i6i60000000000000000000000
χ964-4-44004-20000-4422-2-4−232323−23-200002-220000−232323−23002i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i2−i6i6i6−i60000000000000000000000
χ9788-8-800-480000-44-88-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−43200002-2-20000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−4343200002-2-2000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-4-8-8840000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-444-4443−43−434320000-22-20000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444-44−434343−4320000-22-2000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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