Finite Group Databasebeta

← Group #72275012

Character table — Group #72275012

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
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order122366622222222222226666666666666666666633366666666624444444222666622222222222226666666666666666666666666666666624444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ411-111-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111111-111-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1111
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χ652222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000
χ66222-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-100000000-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111-211-211-2-2111100000000
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χ68222-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-12200000000-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111-211-21111-2-200000000
χ6922-222-2-222222222-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-111111100000000-2-22-2-222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-22222222222111111-1-1-1-1-1-100000000
χ7022-2-1-11122222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111112-1-12-1-1-2-2111100000000-2-2211-1-1-2-2-2-2-2-2-2-2222221111111111-1-1-1-1-1-1-1-1-1-1-211-21122-1-1-1-100000000
χ7122-2-1-11122222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111-12-1-12-111-2-21100000000-2-2211-1-1-2-2-2-2-2-2-2-2222221111111111-1-1-1-1-1-1-1-1-1-11-211-21-1-122-1-100000000
χ7222-2-1-11122222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111-1-12-1-121111-2-200000000-2-2211-1-1-2-2-2-2-2-2-2-2222221111111111-1-1-1-1-1-1-1-1-1-111-211-2-1-1-1-12200000000
χ732-202-200222-2-2-22-20000022222-2-2-2-2-20000000000222-2-2-200000000000000-220-2200-2-2-2222-2200000-2-2-2-2-2222220000000000-2-2-222200000000000000
χ742-202-200222-2-2-22-20000022222-2-2-2-2-20000000000-1-1-1111i3−i3i3−i3i3−i300000000-220-2200-2-2-2222-2200000-2-2-2-2-2222220000000000111-1-1-1−i3i3−i3i3−i3i300000000
χ752-202-200222-2-2-22-20000022222-2-2-2-2-20000000000-1-1-1111−i3i3−i3i3−i3i300000000-220-2200-2-2-2222-2200000-2-2-2-2-2222220000000000111-1-1-1i3−i3i3−i3i3−i300000000
χ762-20-11i3−i3222-2-2-22-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i32-1-1-21100i3−i3−i3i300000000-2201-1−i3i3-2-2-2222-220000011111-1-1-1-1-1−i3−i3−i3−i3−i3i3i3i3i3i3-2112-1-100−i3i3i3−i300000000
χ772-20-11i3−i3222-2-2-22-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i3-12-11-21−i3i300i3−i300000000-2201-1−i3i3-2-2-2222-220000011111-1-1-1-1-1−i3−i3−i3−i3−i3i3i3i3i3i31-21-12-1i3−i300−i3i300000000
χ782-20-11i3−i3222-2-2-22-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i3-1-1211-2i3−i3−i3i30000000000-2201-1−i3i3-2-2-2222-220000011111-1-1-1-1-1−i3−i3−i3−i3−i3i3i3i3i3i311-2-1-12−i3i3i3−i30000000000
χ792-20-11−i3i3222-2-2-22-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i32-1-1-21100−i3i3i3−i300000000-2201-1i3−i3-2-2-2222-220000011111-1-1-1-1-1i3i3i3i3i3−i3−i3−i3−i3−i3-2112-1-100i3−i3−i3i300000000
χ802-20-11−i3i3222-2-2-22-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i3-12-11-21i3−i300−i3i300000000-2201-1i3−i3-2-2-2222-220000011111-1-1-1-1-1i3i3i3i3i3−i3−i3−i3−i3−i31-21-12-1−i3i300i3−i300000000
χ812-20-11−i3i3222-2-2-22-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i3-1-1211-2−i3i3i3−i30000000000-2201-1i3−i3-2-2-2222-220000011111-1-1-1-1-1i3i3i3i3i3−i3−i3−i3−i3−i311-2-1-12i3−i3−i3i30000000000
χ8233333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-1000000000000111-1-11-1-1-3-3-3-3-3-3-3-311-31111-31111-31111-31111-31111-31111000000000000-1-1-111-111
χ8333333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-1000000000000-1-1-111-111-3-3-3-3-3-3-3-311-31111-31111-31111-31111-31111-31111000000000000111-1-11-1-1
χ843333333-13-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-100000000000011-11-1-11-1-3-3-3-3-3-3-31-311-31111-31111-31111-31111-31111-3111000000000000-1-11-111-11
χ853333333-13-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1000000000000-1-11-111-11-3-3-3-3-3-3-31-311-31111-31111-31111-31111-31111-311100000000000011-11-1-11-1
χ863333333-1-13-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-100000000000011-1-11-1-11-3-3-3-3-3-3-311-311-31111-31111-31111-31111-31111-311000000000000-1-111-111-1
χ873333333-1-13-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1000000000000-1-111-111-1-3-3-3-3-3-3-311-311-31111-31111-31111-31111-31111-31100000000000011-1-11-1-11
χ8833-333-3-33-1-13-1-1-1-1-311113-1-1-1-13-1-1-1-1-31111-311110000000000001-11-1-1-111-3-33-3-333-311-311113-1-1-1-1-31111-311113-1-1-1-13-1-1-1-1000000000000-11-1111-1-1
χ8933-333-3-33-1-13-1-1-1-1-311113-1-1-1-13-1-1-1-1-31111-31111000000000000-11-1111-1-1-3-33-3-333-311-311113-1-1-1-1-31111-311113-1-1-1-13-1-1-1-10000000000001-11-1-1-111
χ9033-333-3-3-13-1-13-1-1-11-3111-13-1-1-1-13-1-1-11-31111-31110000000000001-1-11-11-11-3-33-3-3331-311-3111-13-1-1-11-31111-3111-13-1-1-1-13-1-1-1000000000000-111-11-11-1
χ9133-333-3-3-13-1-13-1-1-11-3111-13-1-1-1-13-1-1-11-31111-3111000000000000-111-11-11-1-3-33-3-3331-311-3111-13-1-1-11-31111-3111-13-1-1-1-13-1-1-10000000000001-1-11-11-11
χ9233-333-3-3-1-13-1-13-1-111-311-1-13-1-1-1-13-1-111-31111-3110000000000001-1-1-1111-1-3-33-3-33311-311-311-1-13-1-111-31111-311-1-13-1-1-1-13-1-1000000000000-1111-1-1-11
χ9333-333-3-3-1-13-1-13-1-111-311-1-13-1-1-1-13-1-111-31111-311000000000000-1111-1-1-11-3-33-3-33311-311-311-1-13-1-111-31111-311-1-13-1-1-1-13-1-10000000000001-1-1-1111-1
χ946666666-2-2-2-2-2-222-2-2-222-2-2-222-2-2-222-2-2-222-2-2-22200000000000000000000-6-6-6-6-6-6-6222222-2-2222-2-2222-2-2222-2-2222-2-2222-2-200000000000000000000
χ95666-3-3-3-36-2-26-2-2-2-26-2-2-2-2-31111-31111-31111-3111100000000000000000000-6-6-63333-622-62222-622223-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-100000000000000000000
χ96666-3-3-3-3-26-2-26-2-2-2-26-2-2-21-31111-31111-31111-311100000000000000000000-6-6-633332-622-62222-6222-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-100000000000000000000
χ97666-3-3-3-3-2-26-2-26-2-2-2-26-2-211-31111-31111-31111-31100000000000000000000-6-6-6333322-622-62222-622-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-100000000000000000000
χ98666-3-3-3-3-2-2-2-2-2-222-2-2-222111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i300000000000000000000-6-6-63333222222-2-2222-2-2-1-1-11−2i31+2i3-1-1-11−2i31+2i3-1-1-11−2i31+2i3-1-1-11−2i31+2i300000000000000000000
χ99666-3-3-3-3-2-2-2-2-2-222-2-2-222111−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i300000000000000000000-6-6-63333222222-2-2222-2-2-1-1-11+2i31−2i3-1-1-11+2i31−2i3-1-1-11+2i31−2i3-1-1-11+2i31−2i300000000000000000000
χ10066-666-6-6-2-2-2-2-2-222222-2-2-2-2-222-2-2-222222-2-2222-2-200000000000000000000-6-66-6-666222222-2-2-2-2-222222-2-2222-2-2-2-2-222-2-2-22200000000000000000000
χ10166-6-3-3336-2-26-2-2-2-2-62222-31111-311113-1-1-1-13-1-1-1-100000000000000000000-6-6633-3-3-622-622226-2-2-2-23-1-1-1-13-1-1-1-1-31111-3111100000000000000000000
χ10266-6-3-333-26-2-26-2-2-22-62221-31111-3111-13-1-1-1-13-1-1-100000000000000000000-6-6633-3-32-622-6222-26-2-2-2-13-1-1-1-13-1-1-11-31111-311100000000000000000000
χ10366-6-3-333-2-26-2-26-2-222-62211-31111-311-1-13-1-1-1-13-1-100000000000000000000-6-6633-3-322-622-622-2-26-2-2-1-13-1-1-1-13-1-111-31111-31100000000000000000000
χ10466-6-3-333-2-2-2-2-2-222222-2-2111−1+2i3−1−2i3111−1+2i3−1−2i3-1-1-11−2i31+2i3-1-1-11−2i31+2i300000000000000000000-6-6633-3-3222222-2-2-2-2-222-1-1-11−2i31+2i3-1-1-11−2i31+2i3111−1+2i3−1−2i3111−1+2i3−1−2i300000000000000000000
χ10566-6-3-333-2-2-2-2-2-222222-2-2111−1−2i3−1+2i3111−1−2i3−1+2i3-1-1-11+2i31−2i3-1-1-11+2i31−2i300000000000000000000-6-6633-3-3222222-2-2-2-2-222-1-1-11+2i31−2i3-1-1-11+2i31−2i3111−1−2i3−1+2i3111−1−2i3−1+2i300000000000000000000
χ1066-606-6006-2-2-622-22000006-2-2-2-2-62222000000000000000000000000000000-660-6600-6226-2-22-200000-622226-2-2-2-2000000000000000000000000000000
χ1076-606-600-26-22-62-2200000-26-2-2-22-6222000000000000000000000000000000-660-66002-62-26-22-2000002-6222-26-2-2-2000000000000000000000000000000
χ1086-606-600-2-2622-6-2200000-2-26-2-222-622000000000000000000000000000000-660-660022-6-2-262-20000022-622-2-26-2-2000000000000000000000000000000
χ1096-606-600-2-2-22222-20004-4-2-2-222222-2-20004-4000-4400000000000000000000-660-6600222-2-2-2-22000-44222-2-2-2-2-222000-440004-400000000000000000000
χ1106-606-600-2-2-22222-2000-44-2-2-222222-2-2000-440004-400000000000000000000-660-6600222-2-2-2-220004-4222-2-2-2-2-2220004-4000-4400000000000000000000
χ1116-60-333i3−3i36-2-2-622-2200000-311113-1-1-1-13i3−i3−i3−i3−i3−3i3i3i3i3i300000000000000000000-6603-3−3i33i3-6226-2-22-2000003-1-1-1-1-31111−3i3i3i3i3i33i3−i3−i3−i3−i300000000000000000000
χ1126-60-333i3−3i3-26-22-62-22000001-3111-13-1-1-1−i33i3−i3−i3−i3i3−3i3i3i3i300000000000000000000-6603-3−3i33i32-62-26-22-200000-13-1-1-11-3111i3−3i3i3i3i3−i33i3−i3−i3−i300000000000000000000
χ1136-60-333i3−3i3-2-2622-6-220000011-311-1-13-1-1−i3−i33i3−i3−i3i3i3−3i3i3i300000000000000000000-6603-3−3i33i322-6-2-262-200000-1-13-1-111-311i3i3−3i3i3i3−i3−i33i3−i3−i300000000000000000000
χ1146-60-333i3−3i3-2-2-22222-20004-4111−1+2i3−1−2i3-1-1-11−2i31+2i3−i3−i3−i3−2+i32+i3i3i3i32−i3−2−i300000000000000000000-6603-3−3i33i3222-2-2-2-22000-44-1-1-11−2i31+2i3111−1+2i3−1−2i3i3i3i32−i3−2−i3−i3−i3−i3−2+i32+i300000000000000000000
χ1156-60-333i3−3i3-2-2-22222-2000-44111−1−2i3−1+2i3-1-1-11+2i31−2i3−i3−i3−i32+i3−2+i3i3i3i3−2−i32−i300000000000000000000-6603-3−3i33i3222-2-2-2-220004-4-1-1-11+2i31−2i3111−1−2i3−1+2i3i3i3i3−2−i32−i3−i3−i3−i32+i3−2+i300000000000000000000
χ1166-60-33−3i33i36-2-2-622-2200000-311113-1-1-1-1−3i3i3i3i3i33i3−i3−i3−i3−i300000000000000000000-6603-33i3−3i3-6226-2-22-2000003-1-1-1-1-311113i3−i3−i3−i3−i3−3i3i3i3i3i300000000000000000000
χ1176-60-33−3i33i3-26-22-62-22000001-3111-13-1-1-1i3−3i3i3i3i3−i33i3−i3−i3−i300000000000000000000-6603-33i3−3i32-62-26-22-200000-13-1-1-11-3111−i33i3−i3−i3−i3i3−3i3i3i3i300000000000000000000
χ1186-60-33−3i33i3-2-2622-6-220000011-311-1-13-1-1i3i3−3i3i3i3−i3−i33i3−i3−i300000000000000000000-6603-33i3−3i322-6-2-262-200000-1-13-1-111-311−i3−i33i3−i3−i3i3i3−3i3i3i300000000000000000000
χ1196-60-33−3i33i3-2-2-22222-20004-4111−1−2i3−1+2i3-1-1-11+2i31−2i3i3i3i3−2−i32−i3−i3−i3−i32+i3−2+i300000000000000000000-6603-33i3−3i3222-2-2-2-22000-44-1-1-11+2i31−2i3111−1−2i3−1+2i3−i3−i3−i32+i3−2+i3i3i3i3−2−i32−i300000000000000000000
χ1206-60-33−3i33i3-2-2-22222-2000-44111−1+2i3−1−2i3-1-1-11−2i31+2i3i3i3i32−i3−2−i3−i3−i3−i3−2+i32+i300000000000000000000-6603-33i3−3i3222-2-2-2-220004-4-1-1-11−2i31+2i3111−1+2i3−1−2i3−i3−i3−i3−2+i32+i3i3i3i32−i3−2−i300000000000000000000

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