Finite Group Databasebeta

← Group #11885745

Character table — Group #11885745

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122244446612112224444661222444888812122422444888812122422444888812122422444888812122422444888812122466121212242424243636726612121224242424363672
order1234626612882226462661288222646266128823631266661224246666126666122424666612666612242466661266661224246226462661288244124124121212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1
χ411111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11
χ5222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000
χ822-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000
χ922-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000
χ102-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−20
χ112-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−220
χ124-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ14111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111
χ1511111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11
χ1611111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1
χ17222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000-2-2-22-20002000-2-2-22-20002000
χ1822-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-2111000
χ1922-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000-2-21-212-1-11000-2-21-212-1-11000
χ2022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-1000-2-21210i3−i3-1000
χ2122-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000-2-21210−i3i3-1000-2-21210−i3i3-1000
χ222-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−20-22-2020000−220-22-2020000−220
χ232-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−220-22-20200002−20-22-20200002−20
χ244-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000-4420-20000000-4420-20000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ2711111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-11
χ2811111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-111111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-1-1-1-1-1-1111-111-111111-1-1-11-1-11-1-1-1-1-1111-111-1
χ29222-22000-2000222-22000-2000-2-2-22-20002000222-22000-2000222-22000-2000-2-2-22-20002000-2-2-22-20002000222-22000-2000-2-2-22-20002000
χ3022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-211100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-211100022-12-12-1-1-1000-2-21-21-2111000
χ3122-12-1-211-100022-12-1-211-1000-2-21-212-1-1100022-12-1-211-100022-12-1-211-1000-2-21-212-1-11000-2-21-212-1-1100022-12-1-211-1000-2-21-212-1-11000
χ3222-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-100022-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-1000-2-21210i3−i3-100022-1-2-10−i3i31000-2-21210i3−i3-1000
χ3322-1-2-10i3−i3100022-1-2-10i3−i31000-2-21210−i3i3-100022-1-2-10i3−i3100022-1-2-10i3−i31000-2-21210−i3i3-1000-2-21210−i3i3-100022-1-2-10i3−i31000-2-21210−i3i3-1000
χ342-220-200002−202-220-200002−20-22-2020000−2202-220-200002−202-220-200002−20-22-2020000−220-22-2020000−2202-220-200002−20-22-2020000−220
χ352-220-20000−2202-220-20000−220-22-20200002−202-220-20000−2202-220-20000−220-22-20200002−20-22-20200002−202-220-20000−220-22-20200002−20
χ364-4-20200000004-4-2020000000-4420-200000004-4-20200000004-4-2020000000-4420-20000000-4420-200000004-4-2020000000-4420-20000000
χ37111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ38111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ3911111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1111111-1-1-1111-1
χ4011111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-111111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-111111-1-1-11-1-11
χ41222-22000-2000222-22000-2000-2-2-22-20002000222-22000-2000222-22000-2000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000222-22000-2000
χ4222-12-12-1-1-100022-12-12-1-1-1000-2-21-21-211100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-2111000-2-21-21-211100022-12-12-1-1-1000
χ4322-12-1-211-100022-12-1-211-1000-2-21-212-1-1100022-12-1-211-100022-12-1-211-1000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-1100022-12-1-211-1000
χ4422-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-100022-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-100022-1-2-10−i3i31000
χ4522-1-2-10i3−i3100022-1-2-10i3−i31000-2-21210−i3i3-100022-1-2-10i3−i3100022-1-2-10i3−i31000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-100022-1-2-10i3−i31000
χ462-220-200002−202-220-200002−20-22-2020000−2202-220-200002−202-220-200002−20-22-2020000−220-22-2020000−220-22-2020000−2202-220-200002−20
χ472-220-20000−2202-220-20000−220-22-20200002−202-220-20000−2202-220-20000−220-22-20200002−20-22-20200002−20-22-20200002−202-220-20000−220
χ484-4-20200000004-4-2020000000-4420-200000004-4-20200000004-4-2020000000-4420-20000000-4420-20000000-4420-200000004-4-2020000000
χ49222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222222222-2-2-2222222222-2-2-2222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111000000000000000000000000
χ5122222-2-2-2222-222222-2-2-2222-222222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11000000000000000000000000
χ5222222-2-2-22-2-2222222-2-2-22-2-2222222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1000000000000000000000000
χ53444-44000-4000444-44000-4000444-44000-4000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000000000000000000000000000
χ5444-24-24-2-2-200044-24-24-2-2-200044-24-24-2-2-2000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000000000000000000000000000
χ5544-24-2-422-200044-24-2-422-200044-24-2-422-2000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-11000000000000000000000000000
χ5644-2-4-20−2i32i3200044-2-4-20−2i32i3200044-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-1000000000000000000000000000
χ5744-2-4-202i3−2i3200044-2-4-202i3−2i3200044-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-1000000000000000000000000000
χ584-440-4000022−2204-440-4000022−2204-440-4000022−220-22-2020000−220-22-2020000−220-22-2020000−220-22-2020000−220000000000000000000000000
χ594-440-40000−222204-440-40000−222204-440-40000−22220-22-20200002−20-22-20200002−20-22-20200002−20-22-20200002−20000000000000000000000000
χ608-8-40400000008-8-40400000008-8-4040000000-4420-20000000-4420-20000000-4420-20000000-4420-20000000000000000000000000000000
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χ62222222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111-1-1-1000000000000000000000000
χ6322222-2-2-2222-222222-2-2-2222-2-2-2-2-2-2222-2-2-22-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1111111-1-1-1111-111111-1-1-1111-1000000000000000000000000
χ6422222-2-2-22-2-2222222-2-2-22-2-22-2-2-2-2-2222-222-2-1-1-1-1-1111-111-1-1-1-1-1-1111-111-111111-1-1-11-1-1111111-1-1-11-1-11000000000000000000000000
χ65444-44000-4000444-44000-4000-4-4-44-40004000-2-2-22-20002000-2-2-22-20002000222-22000-2000222-22000-2000000000000000000000000000
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χ6744-24-2-422-200044-24-2-422-2000-4-42-424-2-22000-2-21-212-1-11000-2-21-212-1-1100022-12-1-211-100022-12-1-211-1000000000000000000000000000
χ6844-2-4-20−2i32i3200044-2-4-20−2i32i32000-4-424202i3−2i3-2000-2-21210i3−i3-1000-2-21210i3−i3-100022-1-2-10−i3i3100022-1-2-10−i3i31000000000000000000000000000
χ6944-2-4-202i3−2i3200044-2-4-202i3−2i32000-4-42420−2i32i3-2000-2-21210−i3i3-1000-2-21210−i3i3-100022-1-2-10i3−i3100022-1-2-10i3−i31000000000000000000000000000
χ704-440-4000022−2204-440-4000022−220-44-4040000−22220-22-2020000−220-22-2020000−2202-220-200002−202-220-200002−20000000000000000000000000
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χ8144-2-4-202i3−2i32000-4-42420−2i32i3-200000000000000044-2-4-202i3−2i32000-4-42420−2i32i3-2000000000000000000000000000000000000000000000000000
χ824-440-4000022−220-44-4040000−222200000000000004-440-4000022−220-44-4040000−22220000000000000000000000000000000000000000000000000
χ834-440-40000−22220-44-404000022−2200000000000004-440-40000−22220-44-404000022−220000000000000000000000000000000000000000000000000
χ848-8-4040000000-8840-400000000000000000008-8-4040000000-8840-40000000000000000000000000000000000000000000000000000000
χ85222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3000000000000000000000000
χ86222222222-2-2-2-2-2-2-2-2-2-2-2-2222000000000000-1-1-1-1-1-1-1-1-1111111111111-1-1-1i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3000000000000000000000000
χ8722222-2-2-2222-2-2-2-2-2-2222-2-2-22000000000000-1-1-1-1-1111-1-1-1111111-1-1-1111-1i3i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3−i3−i3−i3i3000000000000000000000000
χ8822222-2-2-22-2-22-2-2-2-2-2222-222-2000000000000-1-1-1-1-1111-111-111111-1-1-11-1-11i3i3i3i3i3−i3−i3−i3i3−i3−i3i3−i3−i3−i3−i3−i3i3i3i3−i3i3i3−i3000000000000000000000000
χ89444-44000-4000-4-4-44-40004000000000000000-2-2-22-20002000222-22000-20002i32i32i3−2i32i3000−2i3000−2i3−2i3−2i32i3−2i30002i3000000000000000000000000000
χ9044-24-24-2-2-2000-4-42-42-4222000000000000000-2-21-21-211100022-12-12-1-1-10002i32i3−i32i3−i32i3−i3−i3−i3000−2i3−2i3i3−2i3i3−2i3i3i3i3000000000000000000000000000
χ9144-24-2-422-2000-4-42-424-2-22000000000000000-2-21-212-1-1100022-12-1-211-10002i32i3−i32i3−i3−2i3i3i3−i3000−2i3−2i3i3−2i3i32i3−i3−i3i3000000000000000000000000000
χ9244-2-4-20−2i32i32000-4-424202i3−2i3-2000000000000000-2-21210i3−i3-100022-1-2-10−i3i310002i32i3−i3−2i3−i303-3i3000−2i3−2i3i32i3i30-33−i3000000000000000000000000000
χ9344-2-4-202i3−2i32000-4-42420−2i32i3-2000000000000000-2-21210−i3i3-100022-1-2-10i3−i310002i32i3−i3−2i3−i30-33i3000−2i3−2i3i32i3i303-3−i3000000000000000000000000000
χ944-440-4000022−220-44-4040000−22220000000000000-22-2020000−2202-220-200002−202i3−2i32i30−2i30000i6−i60−2i32i3−2i302i30000−i6i60000000000000000000000000
χ954-440-40000−22220-44-404000022−220000000000000-22-20200002−202-220-20000−2202i3−2i32i30−2i30000−i6i60−2i32i3−2i302i30000i6−i60000000000000000000000000
χ968-8-4040000000-8840-40000000000000000000-4420-200000004-4-20200000004i3−4i3−2i302i30000000−4i34i32i30−2i30000000000000000000000000000000
χ97222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3000000000000000000000000
χ98222222222-2-2-2-2-2-2-2-2-2-2-2-2222000000000000-1-1-1-1-1-1-1-1-1111111111111-1-1-1−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3000000000000000000000000
χ9922222-2-2-2222-2-2-2-2-2-2222-2-2-22000000000000-1-1-1-1-1111-1-1-1111111-1-1-1111-1−i3−i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3i3i3i3−i3−i3−i3i3i3i3−i3000000000000000000000000
χ10022222-2-2-22-2-22-2-2-2-2-2222-222-2000000000000-1-1-1-1-1111-111-111111-1-1-11-1-11−i3−i3−i3−i3−i3i3i3i3−i3i3i3−i3i3i3i3i3i3−i3−i3−i3i3−i3−i3i3000000000000000000000000
χ101444-44000-4000-4-4-44-40004000000000000000-2-2-22-20002000222-22000-2000−2i3−2i3−2i32i3−2i30002i30002i32i32i3−2i32i3000−2i3000000000000000000000000000
χ10244-24-24-2-2-2000-4-42-42-4222000000000000000-2-21-21-211100022-12-12-1-1-1000−2i3−2i3i3−2i3i3−2i3i3i3i30002i32i3−i32i3−i32i3−i3−i3−i3000000000000000000000000000
χ10344-24-2-422-2000-4-42-424-2-22000000000000000-2-21-212-1-1100022-12-1-211-1000−2i3−2i3i3−2i3i32i3−i3−i3i30002i32i3−i32i3−i3−2i3i3i3−i3000000000000000000000000000
χ10444-2-4-20−2i32i32000-4-424202i3−2i3-2000000000000000-2-21210i3−i3-100022-1-2-10−i3i31000−2i3−2i3i32i3i30-33−i30002i32i3−i3−2i3−i303-3i3000000000000000000000000000
χ10544-2-4-202i3−2i32000-4-42420−2i32i3-2000000000000000-2-21210−i3i3-100022-1-2-10i3−i31000−2i3−2i3i32i3i303-3−i30002i32i3−i3−2i3−i30-33i3000000000000000000000000000
χ1064-440-4000022−220-44-4040000−22220000000000000-22-2020000−2202-220-200002−20−2i32i3−2i302i30000−i6i602i3−2i32i30−2i30000i6−i60000000000000000000000000
χ1074-440-40000−22220-44-404000022−220000000000000-22-20200002−202-220-20000−220−2i32i3−2i302i30000i6−i602i3−2i32i30−2i30000−i6i60000000000000000000000000
χ1088-8-4040000000-8840-40000000000000000000-4420-200000004-4-2020000000−4i34i32i30−2i300000004i3−4i3−2i302i30000000000000000000000000000000

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