Finite Group Databasebeta

← Group #13161332

Character table — Group #13161332

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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order122333334466666663333446666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288242424242424242424242424242424244412121212412122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1111111-1-1-11-11-1
χ6111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11
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χ112222222-1222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-12-1-10000
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χ7644-44-2-2-2-24-44-2-2-222-2-211100-422222-1-1-1-1-1-1-2111-224-4-22-22-220000000000-221-11-11-100-33-33-3300-33-33-330000000000000000000000000000000
χ7744-44-2-2-2-2-444-2-2-222-2-211100-422222-1-1-1-1-1-1-21112-2-442-22-22-200000000002-2-11-11-11003-33-33-300-33-33-330000000000000000000000000000000
χ7844-44-2-2-2-2-444-2-2-222-2-211100-422222-1-1-1-1-1-1-21112-2-442-22-22-200000000002-2-11-11-1100-33-33-33003-33-33-30000000000000000000000000000000
χ7944-4-24-2-244-4-24-2-2-4-44-24-2-2002-42222-4-42222-24-2-24-4-224-4-22-220000000000-224-4-22-2200000000000000000000000000000000000000000000000
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χ8144-4-24-2-2-24-4-24-2-222-21-211002-422-1-122-1-1-1-11-211-22-224-4-22-2200000000001-1-221-11-13-3003-3-333-3003-3-330000000000000000000000000000000
χ8244-4-24-2-2-24-4-24-2-222-21-211002-422-1-122-1-1-1-11-211-22-224-4-22-2200000000001-1-221-11-1-3300-333-3-3300-333-30000000000000000000000000000000
χ8344-4-24-2-2-2-44-24-2-222-21-211002-422-1-122-1-1-1-11-2112-22-2-442-22-20000000000-112-2-11-113-3003-3-33-3300-333-30000000000000000000000000000000
χ8444-4-24-2-2-2-44-24-2-222-21-211002-422-1-122-1-1-1-11-2112-22-2-442-22-20000000000-112-2-11-11-3300-333-33-3003-3-330000000000000000000000000000000
χ8544-4-2-24-244-4-2-24-2-4-44-2-24-20022-422222-4-422-2-24-24-4-22-224-4-220000000000-22-224-4-2200000000000000000000000000000000000000000000000
χ8644-4-2-24-24-44-2-24-2-4-44-2-24-20022-422222-4-422-2-24-2-442-22-2-442-200000000002-22-2-442-200000000000000000000000000000000000000000000000
χ8744-4-2-24-2-24-4-2-24-222-211-210022-42-1-1-1-122-1-111-21-22-22-224-4-2200000000001-11-1-221-13-3-33003-33-3-33003-30000000000000000000000000000000
χ8844-4-2-24-2-24-4-2-24-222-211-210022-42-1-1-1-122-1-111-21-22-22-224-4-2200000000001-11-1-221-1-333-300-33-333-300-330000000000000000000000000000000
χ8944-4-2-24-2-2-44-2-24-222-211-210022-42-1-1-1-122-1-111-212-22-22-2-442-20000000000-11-112-2-113-3-33003-3-333-300-330000000000000000000000000000000
χ9044-4-2-24-2-2-44-2-24-222-211-210022-42-1-1-1-122-1-111-212-22-22-2-442-20000000000-11-112-2-11-333-300-333-3-33003-30000000000000000000000000000000
χ9144-4-2-2-2444-4-2-2-24-4-44-2-2-2400222-4222222-4-4-2-2-244-4-22-22-224-40000000000-22-22-224-400000000000000000000000000000000000000000000000
χ9244-4-2-2-244-44-2-2-24-4-44-2-2-2400222-4222222-4-4-2-2-24-442-22-22-2-4400000000002-22-22-2-4400000000000000000000000000000000000000000000000
χ9344-4-2-2-24-24-4-2-2-2422-2111-200222-4-1-1-1-1-1-122111-2-22-22-22-224-400000000001-11-11-1-223-33-3-33003-33-3-33000000000000000000000000000000000
χ9444-4-2-2-24-24-4-2-2-2422-2111-200222-4-1-1-1-1-1-122111-2-22-22-22-224-400000000001-11-11-1-22-33-333-300-33-333-3000000000000000000000000000000000
χ9544-4-2-2-24-2-44-2-2-2422-2111-200222-4-1-1-1-1-1-122111-22-22-22-22-2-440000000000-11-11-112-23-33-3-3300-33-333-3000000000000000000000000000000000
χ9644-4-2-2-24-2-44-2-2-2422-2111-200222-4-1-1-1-1-1-122111-22-22-22-22-2-440000000000-11-11-112-2-33-333-3003-33-3-33000000000000000000000000000000000
χ974-404444400-4-4-4-400-4444400000000000000-4-4-4-4000000000000000000000000000000000000000000000000000000000000002-22-22-20000000
χ984-404444400-4-4-4-400-4444400000000000000-4-4-4-400000000000000000000000000000000000000000000000000000000000000-22-22-220000000
χ994-404444-200-4-4-4-4−2i32i32-2-2-2-2000000−2i32i3−2i32i3−2i32i3−2i32i32222000000000000000000000000000000000000000000000000000000000000002-2−1−i31+i3−1+i31−i30000000
χ1004-404444-200-4-4-4-4−2i32i32-2-2-2-2000000−2i32i3−2i32i3−2i32i3−2i32i3222200000000000000000000000000000000000000000000000000000000000000-221+i3−1−i31−i3−1+i30000000
χ1014-404444-200-4-4-4-42i3−2i32-2-2-2-20000002i3−2i32i3−2i32i3−2i32i3−2i32222000000000000000000000000000000000000000000000000000000000000002-2−1+i31−i3−1−i31+i30000000
χ1024-404444-200-4-4-4-42i3−2i32-2-2-2-20000002i3−2i32i3−2i32i3−2i32i3−2i3222200000000000000000000000000000000000000000000000000000000000000-221−i3−1+i31+i3−1−i30000000
χ1038-808-4-4-4800-844400-88-4-4-400000000000000-8444000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-808-4-4-4-400-8444−4i34i34-4222000000−4i34i32i3−2i32i3−2i32i3−2i34-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-808-4-4-4-400-84444i3−4i34-42220000004i3−4i3−2i32i3−2i32i3−2i32i34-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-80-48-4-48004-84400-8-48-4-4000000000000004-844000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-80-48-4-4-4004-844−4i34i342-4220000002i3−2i3−4i34i32i3−2i32i3−2i3-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-80-48-4-4-4004-8444i3−4i342-422000000−2i32i34i3−4i3−2i32i3−2i32i3-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-80-4-48-480044-8400-8-4-48-40000000000000044-84000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-80-4-48-4-40044-84−4i34i3422-420000002i3−2i32i3−2i3−4i34i32i3−2i3-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-80-4-48-4-40044-844i3−4i3422-42000000−2i32i3−2i32i34i3−4i3−2i32i3-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-80-4-4-48800444-800-8-4-4-4800000000000000444-8000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-80-4-4-48-400444-8−4i34i34222-40000002i3−2i32i3−2i32i3−2i3−4i34i3-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-80-4-4-48-400444-84i3−4i34222-4000000−2i32i3−2i32i3−2i32i34i3−4i3-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000

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