Finite Group Databasebeta

← Group #11864920

Character table — Group #11864920

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222244444444488888888888121212121212121212122424242424242436367211222222222444444444888888888881212121212121212121224242424242424363672
order1223344666636666121212124121212121212121212122444441212121268121212242424822266446666666661212121241212121212121212121224444412121212681212122424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1
χ31111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-11111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-1
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
χ511111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1111-1-111-111111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1111-1-111-1
χ611111111111111111111-1-1-1-1-111-1-1-1-111-1-11111111-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111111-11-1-1-1-1-1-11
χ711111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-11111-1-1111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-11111-1-11
χ811111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1-1-11111-111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1-1-11111-1
χ922222-2-2222222222-2-2-2-200000-2-20000002-20000000002-20000022222-2-2222222222-2-2-2-200000-2-20000002-20000000002-200000
χ1022222-2-2222222222-2-2-2-200000-2-2000000-22000000000-220000022222-2-2222222222-2-2-2-200000-2-2000000-22000000000-2200000
χ112222-12222-12-1-1-1-1-1-122-12-1-122-1-1-1-1-1-12200000000-12-100-1-10002222-12222-12-1-1-1-1-1-122-12-1-122-1-1-1-1-1-12200000000-12-100-1-1000
χ122222-12222-12-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-2-2000000001-2100110002222-12222-12-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-2-2000000001-210011000
χ132222-12222-12-1-1-1-1-1-122-1-211-2-2-1-111112200000000-1-2-100110002222-12222-12-1-1-1-1-1-122-1-211-2-2-1-111112200000000-1-2-10011000
χ142222-12222-12-1-1-1-1-1-122-1-211-2-2-1-11111-2-20000000012100-1-10002222-12222-12-1-1-1-1-1-122-1-211-2-2-1-11111-2-20000000012100-1-1000
χ15222-1222-1-12-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-1002222-1-1-1-1000-1-100000222-1222-1-12-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-1002222-1-1-1-1000-1-100000
χ16222-1222-1-12-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-100-2-2-2-211110001100000222-1222-1-12-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-100-2-2-2-211110001100000
χ17222-1222-1-12-1-12-1-1-12-1-12-2-2-211-1-111110022-2-21111000-1-100000222-1222-1-12-1-12-1-1-12-1-12-2-2-211-1-111110022-2-21111000-1-100000
χ18222-1222-1-12-1-12-1-1-12-1-12-2-2-211-1-1111100-2-222-1-1-1-10001100000222-1222-1-12-1-12-1-1-12-1-12-2-2-211-1-1111100-2-222-1-1-1-10001100000
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χ20222-12-2-2-1-12-1-12-1-1-1-211-2000i3−i311i3i3−i3−i300-2200−i3−i3i3i30001-100000222-12-2-2-1-12-1-12-1-1-1-211-2000i3−i311i3i3−i3−i300-2200−i3−i3i3i30001-100000
χ21222-12-2-2-1-12-1-12-1-1-1-211-2000−i3i311−i3−i3i3i3002-200−i3−i3i3i3000-1100000222-12-2-2-1-12-1-12-1-1-1-211-2000−i3i311−i3−i3i3i3002-200−i3−i3i3i3000-1100000
χ22222-12-2-2-1-12-1-12-1-1-1-211-2000−i3i311−i3−i3i3i300-2200i3i3−i3−i30001-100000222-12-2-2-1-12-1-12-1-1-1-211-2000−i3i311−i3−i3i3i300-2200i3i3−i3−i30001-100000
χ2322-2222-2-2-2222-2-2-22-22-22000002-200002-20000000020-2000000022-2222-2-2-2222-2-2-22-22-22000002-200002-20000000020-20000000
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χ2522-222-22-2-2222-2-2-222-22-200000-220000000000000000000002-2022-222-22-2-2222-2-2-222-22-200000-220000000000000000000002-20
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χ2922-22-12-2-2-2-12-1111-112-2-10−i3i300-11−i3i3−i3i32-200000000-10100−i3i300022-22-12-2-2-2-12-1111-112-2-10−i3i300-11−i3i3−i3i32-200000000-10100−i3i3000
χ3022-22-12-2-2-2-12-1111-112-2-10−i3i300-11−i3i3−i3i3-220000000010-100i3−i300022-22-12-2-2-2-12-1111-112-2-10−i3i300-11−i3i3−i3i3-220000000010-100i3−i3000
χ314444-2-4-444-24-2-2-2-2-22-4-4200000220000000000000000000000004444-2-4-444-24-2-2-2-2-22-4-420000022000000000000000000000000
χ32444-2-244-2-2-2-21-2111-2-2-2-24-2-2-2-211111100000000000000000000444-2-244-2-2-2-21-2111-2-2-2-24-2-2-2-211111100000000000000000000
χ33444-2-244-2-2-2-21-2111-2-2-2-2-4222211-1-1-1-100000000000000000000444-2-244-2-2-2-21-2111-2-2-2-2-4222211-1-1-1-100000000000000000000
χ34444-2-2-4-4-2-2-2-21-211122220002i3−2i3-1-1−i3−i3i3i300000000000000000000444-2-2-4-4-2-2-2-21-211122220002i3−2i3-1-1−i3−i3i3i300000000000000000000
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χ3944-4-2-24-422-2-212-1-112-22-202i3−2i3001-1−i3i3−i3i30000000000000000000044-4-2-24-422-2-212-1-112-22-202i3−2i3001-1−i3i3−i3i300000000000000000000
χ4044-4-2-24-422-2-212-1-112-22-20−2i32i3001-1i3−i3i3−i30000000000000000000044-4-2-24-422-2-212-1-112-22-20−2i32i3001-1i3−i3i3−i300000000000000000000
χ4144-4-2-2-4422-2-212-1-11-22-2200000-113-3-330000000000000000000044-4-2-2-4422-2-212-1-11-22-2200000-113-3-3300000000000000000000
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χ434-40440000-4-44000-400000000000000000002-22-22-200000000004-40440000-4-44000-400000000000000000002-22-22-20000000000
χ444-40440000-4-44000-40000000000000000000-22-22-2200000000004-40440000-4-44000-40000000000000000000-22-22-220000000000
χ454-40-24002i3−2i3-42-202i3−2i3200000000000000000002-2−1+i31−i3−1−i31+i300000000004-40-24002i3−2i3-42-202i3−2i3200000000000000000002-2−1+i31−i3−1−i31+i30000000000
χ464-40-24002i3−2i3-42-202i3−2i320000000000000000000-221−i3−1+i31+i3−1−i300000000004-40-24002i3−2i3-42-202i3−2i320000000000000000000-221−i3−1+i31+i3−1−i30000000000
χ474-40-2400−2i32i3-42-20−2i32i3200000000000000000002-2−1−i31+i3−1+i31−i300000000004-40-2400−2i32i3-42-20−2i32i3200000000000000000002-2−1−i31+i3−1+i31−i30000000000
χ484-40-2400−2i32i3-42-20−2i32i320000000000000000000-221+i3−1−i31−i3−1+i300000000004-40-2400−2i32i3-42-20−2i32i320000000000000000000-221+i3−1−i31−i3−1+i30000000000
χ498-808-400004-8-40004000000000000000000000000000000000008-808-400004-8-4000400000000000000000000000000000000000
χ508-80-4-4004i3−4i34420−2i32i3-2000000000000000000000000000000000008-80-4-4004i3−4i34420−2i32i3-200000000000000000000000000000000000
χ518-80-4-400−4i34i344202i3−2i3-2000000000000000000000000000000000008-80-4-400−4i34i344202i3−2i3-200000000000000000000000000000000000
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
χ53111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1111
χ541111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111111
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
χ5611111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1111111-11-1-1-111-1-11
χ5711111111111111111111-1-1-1-1-111-1-1-1-111-1-11111111-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-11-1111111-1
χ5811111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-11111111-11-1-1-1-111-1
χ5911111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-11-1111-1-1-1-11
χ6022222-2-2222222222-2-2-2-200000-2-20000002-20000000002-200000-2-2-2-2-222-2-2-2-2-2-2-2-2-222220000022000000-22000000000-2200000
χ6122222-2-2222222222-2-2-2-200000-2-2000000-22000000000-2200000-2-2-2-2-222-2-2-2-2-2-2-2-2-2222200000220000002-20000000002-200000
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χ67222-1222-1-12-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-100-2-2-2-211110001100000-2-2-21-2-2-211-211-2111-211-2-2-2-211111111002222-1-1-1-1000-1-100000
χ68222-1222-1-12-1-12-1-1-12-1-12-2-2-211-1-111110022-2-21111000-1-100000-2-2-21-2-2-211-211-2111-211-2222-1-111-1-1-1-100-2-222-1-1-1-10001100000
χ69222-1222-1-12-1-12-1-1-12-1-12-2-2-211-1-1111100-2-222-1-1-1-10001100000-2-2-21-2-2-211-211-2111-211-2222-1-111-1-1-1-10022-2-21111000-1-100000
χ70222-12-2-2-1-12-1-12-1-1-1-211-2000i3−i311i3i3−i3−i3002-200i3i3−i3−i3000-1100000-2-2-21-22211-211-21112-1-12000−i3i3-1-1−i3−i3i3i300-2200−i3−i3i3i30001-100000
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χ9144-4-2-24-422-2-212-1-112-22-20−2i32i3001-1i3−i3i3−i300000000000000000000-4-4422-44-2-222-1-211-1-22-2202i3−2i300-11−i3i3−i3i300000000000000000000
χ9244-4-2-2-4422-2-212-1-11-22-2200000-113-3-3300000000000000000000-4-44224-4-2-222-1-211-12-22-2000001-1-333-300000000000000000000
χ9344-4-2-2-4422-2-212-1-11-22-2200000-11-333-300000000000000000000-4-44224-4-2-222-1-211-12-22-2000001-13-3-3300000000000000000000
χ944-40440000-4-44000-400000000000000000002-22-22-20000000000-440-4-4000044-400040000000000000000000-22-22-220000000000
χ954-40440000-4-44000-40000000000000000000-22-22-220000000000-440-4-4000044-4000400000000000000000002-22-22-20000000000
χ964-40-24002i3−2i3-42-202i3−2i3200000000000000000002-2−1+i31−i3−1−i31+i30000000000-4402-400−2i32i34-220−2i32i3-20000000000000000000-221−i3−1+i31+i3−1−i30000000000
χ974-40-24002i3−2i3-42-202i3−2i320000000000000000000-221−i3−1+i31+i3−1−i30000000000-4402-400−2i32i34-220−2i32i3-200000000000000000002-2−1+i31−i3−1−i31+i30000000000
χ984-40-2400−2i32i3-42-20−2i32i3200000000000000000002-2−1−i31+i3−1+i31−i30000000000-4402-4002i3−2i34-2202i3−2i3-20000000000000000000-221+i3−1−i31−i3−1+i30000000000
χ994-40-2400−2i32i3-42-20−2i32i320000000000000000000-221+i3−1−i31−i3−1+i30000000000-4402-4002i3−2i34-2202i3−2i3-200000000000000000002-2−1−i31+i3−1+i31−i30000000000
χ1008-808-400004-8-4000400000000000000000000000000000000000-880-840000-484000-400000000000000000000000000000000000
χ1018-80-4-4004i3−4i34420−2i32i3-200000000000000000000000000000000000-8804400−4i34i3-4-4-202i3−2i3200000000000000000000000000000000000
χ1028-80-4-400−4i34i344202i3−2i3-200000000000000000000000000000000000-88044004i3−4i3-4-4-20−2i32i3200000000000000000000000000000000000

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