Finite Group Databasebeta

← Group #11885748

Character table — Group #11885748

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122244446612112224444661222444888812122422444888812122422444888812122422444888812122422444888812122466121212242424243636726612121224242424363672
order12346266128822264626612882363126666122424644124124121212884666126666122424612121212121212121224241212121212121212121224241222646266128822264626612882
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
χ25111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ2711111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-11
χ2811111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-111111-1-1-11-1-11-1-1-1-1-1111-111-1-1-1-1-1-1111-111-111111-1-1-11-1-11-1-1-1-1-1111-111-1
χ29222-22000-2000222-22000-2000222-22000-2000-2-2-22-20002000222-22000-2000-2-2-22-20002000-2-2-22-20002000222-22000-2000-2-2-22-20002000
χ3022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-211100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-211100022-12-12-1-1-1000-2-21-21-2111000
χ3122-12-1-211-100022-12-1-211-100022-12-1-211-1000-2-21-212-1-1100022-12-1-211-1000-2-21-212-1-11000-2-21-212-1-1100022-12-1-211-1000-2-21-212-1-11000
χ3222-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-100022-1-2-10−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−i3100022-1-2-10i3−i31000-2-21210−i3i3-100022-1-2-10i3−i31000-2-21210−i3i3-1000-2-21210−i3i3-100022-1-2-10i3−i31000-2-21210−i3i3-1000
χ342-220-200002−202-220-200002−202-220-200002−20-22-2020000−2202-220-200002−20-22-2020000−220-22-2020000−2202-220-200002−20-22-2020000−220
χ352-220-20000−2202-220-20000−2202-220-20000−220-22-20200002−202-220-20000−220-22-20200002−20-22-20200002−202-220-20000−220-22-20200002−20
χ364-4-20200000004-4-20200000004-4-2020000000-4420-200000004-4-2020000000-4420-20000000-4420-200000004-4-2020000000-4420-20000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ38111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ3911111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1111111-1-1-1111-1
χ4011111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-111111-1-1-11-1-11-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-111111-1-1-11-1-11
χ41222-22000-2000222-22000-2000222-22000-2000-2-2-22-20002000222-22000-2000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000222-22000-2000
χ4222-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-211100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-2111000-2-21-21-211100022-12-12-1-1-1000
χ4322-12-1-211-100022-12-1-211-100022-12-1-211-1000-2-21-212-1-1100022-12-1-211-1000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-1100022-12-1-211-1000
χ4422-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-100022-1-2-10−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−i3100022-1-2-10i3−i31000-2-21210−i3i3-100022-1-2-10i3−i31000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-100022-1-2-10i3−i31000
χ462-220-200002−202-220-200002−202-220-200002−20-22-2020000−2202-220-200002−20-22-2020000−220-22-2020000−220-22-2020000−2202-220-200002−20
χ472-220-20000−2202-220-20000−2202-220-20000−220-22-20200002−202-220-20000−220-22-20200002−20-22-20200002−20-22-20200002−202-220-20000−220
χ484-4-20200000004-4-20200000004-4-2020000000-4420-200000004-4-2020000000-4420-20000000-4420-20000000-4420-200000004-4-2020000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222222222-2-2-2222222222-2-2-2-1-1-1-1-1-1-1-1-1111222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111000000000000000000000000
χ5122222-2-2-2222-222222-2-2-2222-2-1-1-1-1-1111-1-1-1122222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11000000000000000000000000
χ5222222-2-2-22-2-2222222-2-2-22-2-22-1-1-1-1-1111-111-122222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1000000000000000000000000
χ53444-44000-4000444-44000-4000-2-2-22-20002000444-44000-4000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000000000000000000000000000
χ5444-24-24-2-2-200044-24-24-2-2-2000-2-21-21-211100044-24-24-2-2-2000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000000000000000000000000000
χ5544-24-2-422-200044-24-2-422-2000-2-21-212-1-1100044-24-2-422-2000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-11000000000000000000000000000
χ5644-2-4-20−2i32i3200044-2-4-20−2i32i32000-2-21210i3−i3-100044-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-1000000000000000000000000000
χ5744-2-4-202i3−2i3200044-2-4-202i3−2i32000-2-21210−i3i3-100044-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-1000000000000000000000000000
χ584-440-4000022−2204-440-4000022−220-22-2020000−2204-440-4000022−220-22-2020000−220-22-2020000−220-22-2020000−220000000000000000000000000
χ594-440-40000−222204-440-40000−22220-22-20200002−204-440-40000−22220-22-20200002−20-22-20200002−20-22-20200002−20000000000000000000000000
χ608-8-40400000008-8-4040000000-4420-200000008-8-4040000000-4420-20000000-4420-20000000-4420-20000000000000000000000000000000
χ61222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000
χ62222222222-2-2-2222222222-2-2-2-1-1-1-1-1-1-1-1-1111-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111-1-1-1000000000000000000000000
χ6322222-2-2-2222-222222-2-2-2222-2-1-1-1-1-1111-1-1-11-2-2-2-2-2222-2-2-22-1-1-1-1-1111-1-1-1111111-1-1-1111-111111-1-1-1111-1000000000000000000000000
χ6422222-2-2-22-2-2222222-2-2-22-2-22-1-1-1-1-1111-111-1-2-2-2-2-2222-222-2-1-1-1-1-1111-111-111111-1-1-11-1-1111111-1-1-11-1-11000000000000000000000000
χ65444-44000-4000444-44000-4000-2-2-22-20002000-4-4-44-40004000-2-2-22-20002000222-22000-2000222-22000-2000000000000000000000000000
χ6644-24-24-2-2-200044-24-24-2-2-2000-2-21-21-2111000-4-42-42-4222000-2-21-21-211100022-12-12-1-1-100022-12-12-1-1-1000000000000000000000000000
χ6744-24-2-422-200044-24-2-422-2000-2-21-212-1-11000-4-42-424-2-22000-2-21-212-1-1100022-12-1-211-100022-12-1-211-1000000000000000000000000000
χ6844-2-4-20−2i32i3200044-2-4-20−2i32i32000-2-21210i3−i3-1000-4-424202i3−2i3-2000-2-21210i3−i3-100022-1-2-10−i3i3100022-1-2-10−i3i31000000000000000000000000000
χ6944-2-4-202i3−2i3200044-2-4-202i3−2i32000-2-21210−i3i3-1000-4-42420−2i32i3-2000-2-21210−i3i3-100022-1-2-10i3−i3100022-1-2-10i3−i31000000000000000000000000000
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χ8144-2-4-202i3−2i32000-4-42420−2i32i3-200044-2-4-202i3−2i32000000000000000-4-42420−2i32i3-2000000000000000000000000000000000000000000000000000
χ824-440-4000022−220-44-4040000−222204-440-4000022−220000000000000-44-4040000−22220000000000000000000000000000000000000000000000000
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χ848-8-4040000000-8840-400000008-8-4040000000000000000000-8840-40000000000000000000000000000000000000000000000000000000
χ85222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111333333333333−3−3−3−3−3−3−3−3−3−3−3−3000000000000000000000000
χ86222222222-2-2-2-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1111000000000000111111111-1-1-1333333333−3−3−3−3−3−3−3−3−3−3−3−3333000000000000000000000000
χ8722222-2-2-2222-2-2-2-2-2-2222-2-2-22-1-1-1-1-1111-1-1-1100000000000011111-1-1-1111-133333−3−3−3333−3−3−3−3−3−3333−3−3−33000000000000000000000000
χ8822222-2-2-22-2-22-2-2-2-2-2222-222-2-1-1-1-1-1111-111-100000000000011111-1-1-11-1-1133333−3−3−33−3−33−3−3−3−3−3333−333−3000000000000000000000000
χ89444-44000-4000-4-4-44-40004000-2-2-22-20002000000000000000222-22000-2000232323−2323000−23000−23−23−2323−2300023000000000000000000000000000
χ9044-24-24-2-2-2000-4-42-42-4222000-2-21-21-211100000000000000022-12-12-1-1-10002323−323−323−3−3−3000−23−233−233−23333000000000000000000000000000
χ9144-24-2-422-2000-4-42-424-2-22000-2-21-212-1-1100000000000000022-12-1-211-10002323−323−3−2333−3000−23−233−23323−3−33000000000000000000000000000
χ9244-2-4-20−2i32i32000-4-424202i3−2i3-2000-2-21210i3−i3-100000000000000022-1-2-10−i3i310002323−3−23−30−3i3i3000−23−23323303i−3i−3000000000000000000000000000
χ9344-2-4-202i3−2i32000-4-42420−2i32i3-2000-2-21210−i3i3-100000000000000022-1-2-10i3−i310002323−3−23−303i−3i3000−23−2332330−3i3i−3000000000000000000000000000
χ944-440-4000022−220-44-4040000−22220-22-2020000−2200000000000002-220-200002−2023−23230−2300006−60−2323−230230000−660000000000000000000000000
χ954-440-40000−22220-44-404000022−220-22-20200002−200000000000002-220-20000−22023−23230−230000−660−2323−2302300006−60000000000000000000000000
χ968-8-4040000000-8840-40000000-4420-200000000000000000004-4-202000000043−43−230230000000−4343230−230000000000000000000000000000000
χ97222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111−3−3−3−3−3−3−3−3−3−3−3−3333333333333000000000000000000000000
χ98222222222-2-2-2-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1111000000000000111111111-1-1-1−3−3−3−3−3−3−3−3−3333333333333−3−3−3000000000000000000000000
χ9922222-2-2-2222-2-2-2-2-2-2222-2-2-22-1-1-1-1-1111-1-1-1100000000000011111-1-1-1111-1−3−3−3−3−3333−3−3−3333333−3−3−3333−3000000000000000000000000
χ10022222-2-2-22-2-22-2-2-2-2-2222-222-2-1-1-1-1-1111-111-100000000000011111-1-1-11-1-11−3−3−3−3−3333−333−333333−3−3−33−3−33000000000000000000000000
χ101444-44000-4000-4-4-44-40004000-2-2-22-20002000000000000000222-22000-2000−23−23−2323−2300023000232323−2323000−23000000000000000000000000000
χ10244-24-24-2-2-2000-4-42-42-4222000-2-21-21-211100000000000000022-12-12-1-1-1000−23−233−233−233330002323−323−323−3−3−3000000000000000000000000000
χ10344-24-2-422-2000-4-42-424-2-22000-2-21-212-1-1100000000000000022-12-1-211-1000−23−233−23323−3−330002323−323−3−2333−3000000000000000000000000000
χ10444-2-4-20−2i32i32000-4-424202i3−2i3-2000-2-21210i3−i3-100000000000000022-1-2-10−i3i31000−23−23323303i−3i−30002323−3−23−30−3i3i3000000000000000000000000000
χ10544-2-4-202i3−2i32000-4-42420−2i32i3-2000-2-21210−i3i3-100000000000000022-1-2-10i3−i31000−23−2332330−3i3i−30002323−3−23−303i−3i3000000000000000000000000000
χ1064-440-4000022−220-44-4040000−22220-22-2020000−2200000000000002-220-200002−20−2323−230230000−66023−23230−2300006−60000000000000000000000000
χ1074-440-40000−22220-44-404000022−220-22-20200002−200000000000002-220-20000−220−2323−2302300006−6023−23230−230000−660000000000000000000000000
χ1088-8-4040000000-8840-40000000-4420-200000000000000000004-4-2020000000−4343230−23000000043−43−230230000000000000000000000000000000

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