Finite Group Databasebeta

← Group #72274993

Character table — Group #72274993

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11222223366666666666666666666666666666161616162424323232323232323232327272969696961122222336666666666666666666666666666616161616242432323232323232323232727296969696
order1223666222222222226666666666666666666633662433666666664466121222266662222222222266666666666666666666666624666666666644661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i3211111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ411111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i3211111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ511111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i3211111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ611111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i3211111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ711-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-11-1-11-111-1-111-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-11-1-11-111-1-1
χ811-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-11-1-11-1-1-11-1-11111-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-11-1-11-1-1-11-1-111
χ911-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i3211-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ1011-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i3211-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ1111-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i3211-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1211-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i3211-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ13222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-122-1-1-1-1-1-1000000222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-122-1-1-1-1-1-1000000
χ14222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000
χ15222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000
χ1622-2-1-111222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111222200-1-1-2-2-111-11100000022-2-1-111222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111222200-1-1-2-2-111-111000000
χ1722-2-1-111222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i3200000022-2-1-111222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32000000
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χ202-202-2002-222-2-20000022222-2-2-2-2-20000000000−1+i3−1−i31−i31+i300−1+i3−1−i3001−i3001+i3000000002-202-2002-222-2-20000022222-2-2-2-2-20000000000−1+i3−1−i31−i31+i300−1+i3−1−i3001−i3001+i300000000
χ212-202-2002-222-2-20000022222-2-2-2-2-20000000000−1−i3−1+i31+i31−i300−1−i3−1+i3001+i3001−i3000000002-202-2002-222-2-20000022222-2-2-2-2-20000000000−1−i3−1+i31+i31−i300−1−i3−1+i3001+i3001−i300000000
χ222-20-11i3−i32-222-2-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i322-2-200-1-1001i3−i31i3−i30000002-20-11i3−i32-222-2-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i322-2-200-1-1001i3−i31i3−i3000000
χ232-20-11i3−i32-222-2-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i320000002-20-11i3−i32-222-2-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i32000000
χ242-20-11i3−i32-222-2-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i320000002-20-11i3−i32-222-2-200000-1-1-1-1-111111i3i3i3i3i3−i3−i3−i3−i3−i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i32000000
χ252-20-11−i3i32-222-2-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i322-2-200-1-1001−i3i31−i3i30000002-20-11−i3i32-222-2-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i322-2-200-1-1001−i3i31−i3i3000000
χ262-20-11−i3i32-222-2-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i320000002-20-11−i3i32-222-2-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i32000000
χ272-20-11−i3i32-222-2-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i320000002-20-11−i3i32-222-2-200000-1-1-1-1-111111−i3−i3−i3−i3−i3i3i3i3i3i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i32000000
χ28333333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-10000330000000000-1-10000333333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-10000330000000000-1-10000
χ29333333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-10000-3-30000000000110000333333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-10000-3-30000000000110000
χ3033-333-3-333-1-1-1-1-311113-1-1-1-13-1-1-1-1-31111-3111100003-30000000000-11000033-333-3-333-1-1-1-1-311113-1-1-1-13-1-1-1-1-31111-3111100003-30000000000-110000
χ3133-333-3-333-1-1-1-1-311113-1-1-1-13-1-1-1-1-31111-311110000-3300000000001-1000033-333-3-333-1-1-1-1-311113-1-1-1-13-1-1-1-1-31111-311110000-3300000000001-10000
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χ336666666-2-2-22-22-2-2-222-2-2-222-2-2-222-2-2-222-2-2-22200000000000000000000006666666-2-2-22-22-2-2-222-2-2-222-2-2-222-2-2-222-2-2-2220000000000000000000000
χ34666-3-3-3-366-2-2-2-26-2-2-2-2-31111-31111-31111-311110000000000000000000000666-3-3-3-366-2-2-2-26-2-2-2-2-31111-31111-31111-311110000000000000000000000
χ35666-3-3-3-3-2-22-22-2-222-2-21−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i3110000000000000000000000666-3-3-3-3-2-22-22-2-222-2-21−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i3110000000000000000000000
χ36666-3-3-3-3-2-22-22-2-222-2-21−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i3110000000000000000000000666-3-3-3-3-2-22-22-2-222-2-21−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i3110000000000000000000000
χ37666-3-3-3-3-2-2-22-22-2-2-222111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i30000000000000000000000666-3-3-3-3-2-2-22-22-2-2-222111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i30000000000000000000000
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χ4066-666-6-6-2-2-22-22222-2-2-2-2-222-2-2-222222-2-2222-2-2000000000000000000000066-666-6-6-2-2-22-22222-2-2-2-2-222-2-2-222222-2-2222-2-20000000000000000000000
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χ4566-6-3-333-2-2-22-22222-2-2111−1−2i3−1+2i3111−1−2i3−1+2i3-1-1-11+2i31−2i3-1-1-11+2i31−2i3000000000000000000000066-6-3-333-2-2-22-22222-2-2111−1−2i3−1+2i3111−1−2i3−1+2i3-1-1-11+2i31−2i3-1-1-11+2i31−2i30000000000000000000000
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χ10466-6-3-333-2-2-22-22222-2-2111−1+2i3−1−2i3111−1+2i3−1−2i3-1-1-11−2i31+2i3-1-1-11−2i31+2i30000000000000000000000-6-6633-3-3222-22-2-2-2-222-1-1-11−2i31+2i3-1-1-11−2i31+2i3111−1+2i3−1−2i3111−1+2i3−1−2i30000000000000000000000
χ10566-6-3-333-2-2-22-22222-2-2111−1−2i3−1+2i3111−1−2i3−1+2i3-1-1-11+2i31−2i3-1-1-11+2i31−2i30000000000000000000000-6-6633-3-3222-22-2-2-2-222-1-1-11+2i31−2i3-1-1-11+2i31−2i3111−1−2i3−1+2i3111−1−2i3−1+2i30000000000000000000000
χ1066-606-6006-6-2-222000006-2-2-2-2-6222200000000000000000000000000000000-660-6600-6622-2-200000-622226-2-2-2-200000000000000000000000000000000
χ1076-606-600-222-2-2204-400-222-2-22-2-22204-4000-44000000000000000000000000-660-66002-2-222-20-44002-2-222-222-2-20-440004-4000000000000000000000000
χ1086-606-600-222-2-220-4400-222-2-22-2-2220-440004-4000000000000000000000000-660-66002-2-222-204-4002-2-222-222-2-204-4000-44000000000000000000000000
χ1096-606-600-22-222-20004-4-2-2-222222-2-20004-4000-440000000000000000000000-660-66002-22-2-22000-44222-2-2-2-2-222000-440004-40000000000000000000000
χ1106-606-600-22-222-2000-44-2-2-222222-2-2000-440004-40000000000000000000000-660-66002-22-2-220004-4222-2-2-2-2-2220004-4000-440000000000000000000000
χ1116-60-333i3−3i36-6-2-22200000-311113-1-1-1-13i3−i3−i3−i3−i3−3i3i3i3i3i30000000000000000000000-6603-3−3i33i3-6622-2-2000003-1-1-1-1-31111−3i3i3i3i3i33i3−i3−i3−i3−i30000000000000000000000
χ1126-60-333i3−3i3-222-2-2204-4001−1+2i3−1−2i311-11−2i31+2i3-1-1−i3−2+i32+i3−i3−i3i32−i3−2−i3i3i30000000000000000000000-6603-3−3i33i32-2-222-20-4400-11−2i31+2i3-1-11−1+2i3−1−2i311i32−i3−2−i3i3i3−i3−2+i32+i3−i3−i30000000000000000000000
χ1136-60-333i3−3i3-222-2-220-44001−1−2i3−1+2i311-11+2i31−2i3-1-1−i32+i3−2+i3−i3−i3i3−2−i32−i3i3i30000000000000000000000-6603-3−3i33i32-2-222-204-400-11+2i31−2i3-1-11−1−2i3−1+2i311i3−2−i32−i3i3i3−i32+i3−2+i3−i3−i30000000000000000000000
χ1146-60-333i3−3i3-22-222-20004-4111−1+2i3−1−2i3-1-1-11−2i31+2i3−i3−i3−i3−2+i32+i3i3i3i32−i3−2−i30000000000000000000000-6603-3−3i33i32-22-2-22000-44-1-1-11−2i31+2i3111−1+2i3−1−2i3i3i3i32−i3−2−i3−i3−i3−i3−2+i32+i30000000000000000000000
χ1156-60-333i3−3i3-22-222-2000-44111−1−2i3−1+2i3-1-1-11+2i31−2i3−i3−i3−i32+i3−2+i3i3i3i3−2−i32−i30000000000000000000000-6603-3−3i33i32-22-2-220004-4-1-1-11+2i31−2i3111−1−2i3−1+2i3i3i3i3−2−i32−i3−i3−i3−i32+i3−2+i30000000000000000000000
χ1166-60-33−3i33i36-6-2-22200000-311113-1-1-1-1−3i3i3i3i3i33i3−i3−i3−i3−i30000000000000000000000-6603-33i3−3i3-6622-2-2000003-1-1-1-1-311113i3−i3−i3−i3−i3−3i3i3i3i3i30000000000000000000000
χ1176-60-33−3i33i3-222-2-2204-4001−1−2i3−1+2i311-11+2i31−2i3-1-1i3−2−i32−i3i3i3−i32+i3−2+i3−i3−i30000000000000000000000-6603-33i3−3i32-2-222-20-4400-11+2i31−2i3-1-11−1−2i3−1+2i311−i32+i3−2+i3−i3−i3i3−2−i32−i3i3i30000000000000000000000
χ1186-60-33−3i33i3-222-2-220-44001−1+2i3−1−2i311-11−2i31+2i3-1-1i32−i3−2−i3i3i3−i3−2+i32+i3−i3−i30000000000000000000000-6603-33i3−3i32-2-222-204-400-11−2i31+2i3-1-11−1+2i3−1−2i311−i3−2+i32+i3−i3−i3i32−i3−2−i3i3i30000000000000000000000
χ1196-60-33−3i33i3-22-222-20004-4111−1−2i3−1+2i3-1-1-11+2i31−2i3i3i3i3−2−i32−i3−i3−i3−i32+i3−2+i30000000000000000000000-6603-33i3−3i32-22-2-22000-44-1-1-11+2i31−2i3111−1−2i3−1+2i3−i3−i3−i32+i3−2+i3i3i3i3−2−i32−i30000000000000000000000
χ1206-60-33−3i33i3-22-222-2000-44111−1+2i3−1−2i3-1-1-11−2i31+2i3i3i3i32−i3−2−i3−i3−i3−i3−2+i32+i30000000000000000000000-6603-33i3−3i32-22-2-220004-4-1-1-11−2i31+2i3111−1+2i3−1−2i3−i3−i3−i3−2+i32+i3i3i3i32−i3−2−i30000000000000000000000

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