Finite Group Databasebeta

← Group #11864782

Character table — Group #11864782

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222244444444488888888888121212121212121212122424242424242436367211222222222444444444888888888881212121212121212121224242424242424363672
order12233446666366661212121226666666612122224441212121266681224242482226644666666666121212122666666661212222444121212126668122424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111-111-1-1-1-1-1-1-1111111111111111111111111111111111-1-1111111-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-1-1-11-1-11111-1-1-11111111111111111111111111111111-1-111-1-1-1-1-1-11-1-11111-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1
χ611111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111-1-11
χ711111111111111111111-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-11-1-1-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-11111-111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-11111-1
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χ112222-122-1-1-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1220022-1-1-1-10-1-100000002222-122-1-1-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1220022-1-1-1-10-1-10000000
χ122222-122-1-1-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-200-2-2111101100000002222-122-1-1-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-200-2-211110110000000
χ132222-122-1-1-12-12-1-1-1-1-122-2-2-2111111-1-12200-2-211110-1-100000002222-122-1-1-12-12-1-1-1-1-122-2-2-2111111-1-12200-2-211110-1-10000000
χ142222-122-1-1-12-12-1-1-1-1-122-2-2-2111111-1-1-2-20022-1-1-1-101100000002222-122-1-1-12-12-1-1-1-1-122-2-2-2111111-1-1-2-20022-1-1-1-10110000000
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χ19222-1222222-1-1-1-1-1-122-1-12-1-122-1-1-1-1-1-10022000000-1002-1-1-1000222-1222222-1-1-1-1-1-122-1-12-1-122-1-1-1-1-1-10022000000-1002-1-1-1000
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χ2522-222-222-2-222-2-2-22-222-2000000000-22000000000000000002-2022-222-222-2-222-2-2-22-222-2000000000-22000000000000000002-20
χ2622-222-222-2-222-2-2-22-222-2000000000-2200000000000000000-22022-222-222-2-222-2-2-22-222-2000000000-2200000000000000000-220
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χ3022-2-122-22-2-2-1-1111-12-21-10−i3i300−i3i3−i3i3-1100-220000001000-1i3−i300022-2-122-22-2-2-1-1111-12-21-10−i3i300−i3i3−i3i3-1100-220000001000-1i3−i3000
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χ4044-4-2-24-4-222-212-1-11-222-20−2i32i300i3−i3i3−i31-10000000000000000000044-4-2-24-4-222-212-1-11-222-20−2i32i300i3−i3i3−i31-100000000000000000000
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χ474-404-2002−2i32i3-4-20−2i32i3200000000000000000002-2−1−i31+i3−1+i31−i300000000004-404-2002−2i32i3-4-20−2i32i3200000000000000000002-2−1−i31+i3−1+i31−i30000000000
χ484-404-2002−2i32i3-4-20−2i32i320000000000000000000-221+i3−1−i31−i3−1+i300000000004-404-2002−2i32i3-4-20−2i32i320000000000000000000-221+i3−1−i31−i3−1+i30000000000
χ498-80-4800-8004-40004000000000000000000000000000000000008-80-4800-8004-4000400000000000000000000000000000000000
χ508-80-4-40044i3−4i3420−2i32i3-2000000000000000000000000000000000008-80-4-40044i3−4i3420−2i32i3-200000000000000000000000000000000000
χ518-80-4-4004−4i34i34202i3−2i3-2000000000000000000000000000000000008-80-4-4004−4i34i34202i3−2i3-200000000000000000000000000000000000
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ53111111111111111111111111111111111-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111111
χ541111111111111111111111111111111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1111
χ551111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1
χ5611111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-11-111-1-11
χ5711111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-11-1-111-1
χ5811111111111111111111-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1111-11111-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1111-11-1-1-1-11
χ6022222-2-2222222222-2-2-2-2000000000-2-22-20000000002-20000000-2-2-2-2-222-2-2-2-2-2-2-2-2-2222200000000022-22000000000-220000000
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χ9144-4-2-24-4-222-212-1-11-222-20−2i32i300i3−i3i3−i31-100000000000000000000-4-4422-442-2-22-1-211-12-2-2202i3−2i300−i3i3−i3i3-1100000000000000000000
χ9244-4-2-2-44-222-212-1-112-2-22000003-3-33-1100000000000000000000-4-44224-42-2-22-1-211-1-222-200000-333-31-100000000000000000000
χ9344-4-2-2-44-222-212-1-112-2-2200000-333-3-1100000000000000000000-4-44224-42-2-22-1-211-1-222-2000003-3-331-100000000000000000000
χ944-404400-400-44000-400000000000000000002-22-22-20000000000-440-4-4004004-400040000000000000000000-22-22-220000000000
χ954-404400-400-44000-40000000000000000000-22-22-220000000000-440-4-4004004-4000400000000000000000002-22-22-20000000000
χ964-404-20022i3−2i3-4-202i3−2i3200000000000000000002-2−1+i31−i3−1−i31+i30000000000-440-4200-2−2i32i3420−2i32i3-20000000000000000000-221−i3−1+i31+i3−1−i30000000000
χ974-404-20022i3−2i3-4-202i3−2i320000000000000000000-221−i3−1+i31+i3−1−i30000000000-440-4200-2−2i32i3420−2i32i3-200000000000000000002-2−1+i31−i3−1−i31+i30000000000
χ984-404-2002−2i32i3-4-20−2i32i3200000000000000000002-2−1−i31+i3−1+i31−i30000000000-440-4200-22i3−2i34202i3−2i3-20000000000000000000-221+i3−1−i31−i3−1+i30000000000
χ994-404-2002−2i32i3-4-20−2i32i320000000000000000000-221+i3−1−i31−i3−1+i30000000000-440-4200-22i3−2i34202i3−2i3-200000000000000000002-2−1−i31+i3−1+i31−i30000000000
χ1008-80-4800-8004-4000400000000000000000000000000000000000-8804-800800-44000-400000000000000000000000000000000000
χ1018-80-4-40044i3−4i3420−2i32i3-200000000000000000000000000000000000-8804400-4−4i34i3-4-202i3−2i3200000000000000000000000000000000000
χ1028-80-4-4004−4i34i34202i3−2i3-200000000000000000000000000000000000-8804400-44i3−4i3-4-20−2i32i3200000000000000000000000000000000000

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