Finite Group Databasebeta

← Group #13173065

Character table — Group #13173065

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
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order12333346666222666666661212121246666666633333333366666666626666666612121212666666666666666666121212121212121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ41111111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
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
χ62222222222222-2-2-2-2-2-2-2-2-22222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-22222111111111111111111-1-1-1-1-1-1-1-1-1000000
χ7222222-2222222000000000-2-2-2-2-222222222222222222222222222000000000-2-2-2-2000000000000000000-2-2-2-2-2-2-2-2-2000000
χ8222222-2222222000000000-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2-2-2−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3111111111000000
χ9222222-2222222000000000-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2-2-2i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3111111111000000
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χ3522-1-12-12-1-12-1222-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-12-1-1-12-1-1-12-1-12-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1000000
χ3622-1-12-12-1-12-1222-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122-1-1-12-1-1-122-1-1-12-12-1-1-12-1-1-12-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1000000
χ3722-1-12-12-1-12-122-2111-2111-2-1-12-12-1-1-1-122-1-12-1-1-12-1-1-122-1-1-12-1-1-12-2111-2111-2-1-12-1-2111-2111-2-2111-2111-22-1-1-12-1-1-12000000
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χ754-4-2-2-240222-4-4400000000000000-22-22-224-4-24-24-2-2-2-242-42-42222-40000000000000000000000000000000000000000000000
χ764-4-2-2-240222-4-4400000000000000-22-22-224-4-2-24-24-24-2-222-42-42-4220000000000000000000000000000000000000000000000
χ77666666-66666-2-2000000000-6-6-6-62-2-2-2-2-2-2-2-20000000000000000000000000002222000000000000000000000000000000000
χ78666-3-3-366-3-3-3-2-2666-3-3-3-3-3-36-3-3-3-2-2-2111111000000000000000000-2-2-2111111-2111000000000000000000000000000000000
χ79666-3-3-366-3-3-3-2-2-6-6-63333336-3-3-3-2-2-2111111000000000000000000222-1-1-1-1-1-1-2111000000000000000000000000000000000
χ80666-3-3-3-66-3-3-3-2-2000−3i3−3i3−3i33i33i33i3-63332-2-2111111000000000000000000000i3i3i3−i3−i3−i32-1-1-1000000000000000000000000000000000
χ81666-3-3-3-66-3-3-3-2-20003i33i33i3−3i3−3i3−3i3-63332-2-2111111000000000000000000000−i3−i3−i3i3i3i32-1-1-1000000000000000000000000000000000
χ8266-36-3-36-36-3-3-2-26-3-36-3-36-3-3-36-3-3-211-2-21111000000000000000000-211-211-2111-211000000000000000000000000000000000
χ8366-36-3-36-36-3-3-2-2-633-633-633-36-3-3-211-2-211110000000000000000002-1-12-1-12-1-11-211000000000000000000000000000000000
χ8466-36-3-3-6-36-3-3-2-20−3i33i30−3i33i30−3i33i33-633211-2-211110000000000000000000i3−i30i3−i30i3−i3-12-1-1000000000000000000000000000000000
χ8566-36-3-3-6-36-3-3-2-203i3−3i303i3−3i303i3−3i33-633211-2-211110000000000000000000−i3i30−i3i30−i3i3-12-1-1000000000000000000000000000000000
χ8666-3-36-36-3-36-3-2-26-3-3-36-3-3-36-3-36-3-21111-2-211000000000000000000-2111-2111-211-21000000000000000000000000000000000
χ8766-3-36-36-3-36-3-2-2-6333-6333-6-3-36-3-21111-2-2110000000000000000002-1-1-12-1-1-1211-21000000000000000000000000000000000
χ8866-3-36-3-6-3-36-3-2-20−3i33i33i30−3i3−3i33i3033-6321111-2-2110000000000000000000i3−i3−i30i3i3−i30-1-12-1000000000000000000000000000000000
χ8966-3-36-3-6-3-36-3-2-203i3−3i3−3i303i33i3−3i3033-6321111-2-2110000000000000000000−i3i3i30−i3−i3i30-1-12-1000000000000000000000000000000000
χ9066-3-3-366-3-3-36-2-26-3-3-3-36-36-3-3-3-36-2111111-2-2000000000000000000-21111-21-21111-2000000000000000000000000000000000
χ9166-3-3-366-3-3-36-2-2-63333-63-63-3-3-36-2111111-2-20000000000000000002-1-1-1-12-12-1111-2000000000000000000000000000000000
χ9266-3-3-36-6-3-3-36-2-20−3i33i3−3i33i303i30−3i3333-62111111-2-20000000000000000000i3−i3i3−i30−i30i3-1-1-12000000000000000000000000000000000
χ9366-3-3-36-6-3-3-36-2-203i3−3i33i3−3i30−3i303i3333-62111111-2-20000000000000000000−i3i3−i3i30i30−i3-1-1-12000000000000000000000000000000000
χ946-666660-6-6-6-62-200000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000002−2−2200
χ956-666660-6-6-6-62-200000000000000-22-22-22-220000000000000000000000000000000000000000000000000000000000−222−200
χ9612-1212-6-6-60-126664-400000000000000-442-22-22-20000000000000000000000000000000000000000000000000000000000000000
χ9712-12-612-6-606-12664-4000000000000002-2-442-22-20000000000000000000000000000000000000000000000000000000000000000
χ9812-12-6-612-6066-1264-4000000000000002-22-2-442-20000000000000000000000000000000000000000000000000000000000000000
χ9912-12-6-6-6120666-124-4000000000000002-22-22-2-440000000000000000000000000000000000000000000000000000000000000000

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