Finite Group Databasebeta

← Group #13173066

Character table — Group #13173066

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
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order123333466662241212121212121212121212124666666663333333336666666664121212121212121212121212121212121212121212121212121212121212121212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111-11111-1-1-1-1-1-1-1-1111111111111111111111111111-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111-11111-1-1-1-1-1-1-1-1111111111111111111111111111-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ522222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ62222222222222-22222-2-2-2-2-2-2-2-2222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111111111000000
χ7222222-22222220-2-2-2-200000000-2222222222222222222222222220-2-2-2-200000000-2-2-2-2-2-2-2-2-2000000000000000000000000
χ8222222-22222220-2-2-2-200000000-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3000000
χ9222222-22222220-2-2-2-200000000-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000111111111i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3000000
χ10222-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1000000
χ11222-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1000000
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χ2422-12-1-12-12-1-1222-12-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-122-12-1-1-1-12-1-12-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12000000
χ2522-12-1-12-12-1-122-2-12-1-111-211-2112-1-122-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1-2-12-1-111-211-2112-1-12-1-12-1-1-211-211-211-211-211-211000000
χ2622-12-1-12-12-1-122-2-12-1-111-211-2112-1-122-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-2-12-1-111-211-211-12-1-12-1-12-11-211-211-211-211-211-21000000
χ2722-12-1-12-12-1-122-2-12-1-111-211-2112-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-2-12-1-111-211-211-1-12-1-12-1-1211-211-211-211-211-211-2000000
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χ3022-12-1-1-2-12-1-12201-211−i3i30−i3i30−i3i3-2-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-1201-211−i3i30−i3i30−i3i311-211-211-2−i3i30−i3i30−i3i30i3−i30i3−i30i3−i30000000
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χ3222-12-1-1-2-12-1-12201-211i3−i30i3−i30i3−i3-2-1-122-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-101-211i3−i30i3−i30i3−i31-211-211-21−i30i3−i30i3−i30i3i30−i3i30−i3i30−i3000000
χ3322-12-1-1-2-12-1-12201-211i3−i30i3−i30i3−i3-2-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-1201-211i3−i30i3−i30i3−i311-211-211-2i3−i30i3−i30i3−i30−i3i30−i3i30−i3i30000000
χ3422-1-12-12-1-12-1222-1-12-1-1-1-12-1-1-122-1-1-1-122-1-12-1-1-12-1-1-122-1-1-12-1-1-122-1-12-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12000000
χ3522-1-12-12-1-12-1222-1-12-1-1-1-12-1-1-122-1-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-12-1-12-1-1-1-12-1-1-12-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1000000
χ3622-1-12-12-1-12-1222-1-12-1-1-1-12-1-1-122-1-1-1-122-1-1-1-122-1-1-12-1-1-122-1-1-12-12-1-12-1-1-1-12-1-1-12-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1000000
χ3722-1-12-12-1-12-122-2-1-12-1111-2111-22-1-1-1-122-1-12-1-1-12-1-1-122-1-1-12-1-1-12-2-1-12-1111-2111-22-1-1-12-1-1-12-2111-2111-2-2111-2111-2000000
χ3822-1-12-12-1-12-122-2-1-12-1111-2111-22-1-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1-2-1-12-1111-2111-2-12-1-1-122-1-11-2111-2-2111-2111-2-211000000
χ3922-1-12-12-1-12-122-2-1-12-1111-2111-22-1-1-1-122-1-1-1-122-1-1-12-1-1-122-1-1-12-1-2-1-12-1111-2111-2-1-122-1-1-12-111-2-2111-2111-2-2111-21000000
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χ764-4-2-2-240222-44-400000000000000-22-22-224-4-2-24-24-24-2-222-42-42-4220000000000000000000000000000000000000000000000
χ77666666-66666-2-20-6-6-6-6000000002-2-2-2-2-2-2-2-20000000000000000000222200000000000000000000000000000000000000000
χ78666-3-3-366-3-3-3-2-266-3-3-366-3-3-3-3-3-3-2-2-2111111000000000000000000-2-2111-2-2111111000000000000000000000000000000000
χ79666-3-3-366-3-3-3-2-2-66-3-3-3-6-6333333-2-2-21111110000000000000000002-211122-1-1-1-1-1-1000000000000000000000000000000000
χ80666-3-3-3-66-3-3-3-2-20-633300−3i3−3i3−3i33i33i33i32-2-211111100000000000000000002-1-1-100i3i3i3−i3−i3−i3000000000000000000000000000000000
χ81666-3-3-3-66-3-3-3-2-20-6333003i33i33i3−3i3−3i3−3i32-2-211111100000000000000000002-1-1-100−i3−i3−i3i3i3i3000000000000000000000000000000000
χ8266-36-3-36-36-3-3-2-26-36-3-3-3-36-3-36-3-3-211-2-21111000000000000000000-21-21111-211-211000000000000000000000000000000000
χ8366-36-3-36-36-3-3-2-2-6-36-3-333-633-633-211-2-2111100000000000000000021-211-1-12-1-12-1-1000000000000000000000000000000000
χ8466-36-3-3-6-36-3-3-2-203-633−3i33i30−3i33i30−3i33i3211-2-211110000000000000000000-12-1-1i3−i30i3−i30i3−i3000000000000000000000000000000000
χ8566-36-3-3-6-36-3-3-2-203-6333i3−3i303i3−3i303i3−3i3211-2-211110000000000000000000-12-1-1−i3i30−i3i30−i3i3000000000000000000000000000000000
χ8666-3-36-36-3-36-3-2-26-3-36-3-3-3-36-3-3-36-21111-2-211000000000000000000-211-21111-2111-2000000000000000000000000000000000
χ8766-3-36-36-3-36-3-2-2-6-3-36-3333-6333-6-21111-2-211000000000000000000211-21-1-1-12-1-1-12000000000000000000000000000000000
χ8866-3-36-3-6-3-36-3-2-2033-63−3i33i33i30−3i3−3i33i3021111-2-2110000000000000000000-1-12-1i3−i3−i30i3i3−i30000000000000000000000000000000000
χ8966-3-36-3-6-3-36-3-2-2033-633i3−3i3−3i303i33i3−3i3021111-2-2110000000000000000000-1-12-1−i3i3i30−i3−i3i30000000000000000000000000000000000
χ9066-3-3-366-3-3-36-2-26-3-3-36-3-3-3-36-36-3-2111111-2-2000000000000000000-2111-21111-21-21000000000000000000000000000000000
χ9166-3-3-366-3-3-36-2-2-6-3-3-363333-63-63-2111111-2-20000000000000000002111-2-1-1-1-12-12-1000000000000000000000000000000000
χ9266-3-3-36-6-3-3-36-2-20333-6−3i33i3−3i33i303i30−3i32111111-2-20000000000000000000-1-1-12i3−i3i3−i30−i30i3000000000000000000000000000000000
χ9366-3-3-36-6-3-3-36-2-20333-63i3−3i33i3−3i30−3i303i32111111-2-20000000000000000000-1-1-12−i3i3−i3i30i30−i3000000000000000000000000000000000
χ946-666660-6-6-6-6-2200000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000002−2−2200
χ956-666660-6-6-6-6-2200000000000000-22-22-22-220000000000000000000000000000000000000000000000000000000000−222−200
χ9612-1212-6-6-60-12666-4400000000000000-442-22-22-20000000000000000000000000000000000000000000000000000000000000000
χ9712-12-612-6-606-1266-44000000000000002-2-442-22-20000000000000000000000000000000000000000000000000000000000000000
χ9812-12-6-612-6066-126-44000000000000002-22-2-442-20000000000000000000000000000000000000000000000000000000000000000
χ9912-12-6-6-6120666-12-44000000000000002-22-22-2-440000000000000000000000000000000000000000000000000000000000000000

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