Finite Group Databasebeta

← Group #11874304

Character table — Group #11874304

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222222224444444444444444444444444444444444444444444444444444444444449999181818181818181818181818181824242424242424244848484848484848
order122233444444666666888888883666121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444442244448888888822224444666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ11111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1
χ13111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ14111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ15111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ16111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ1722222222-2-2-2-22222220000000022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-222-2-2000000000000000000000000
χ1822222222-2-2-2-22222220000000022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-222-2-222000000000000000000000000
χ19222222-2-222-2-2222222000000002222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-222000000000000000000000000
χ20222222-2-222-2-2222222000000002222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2000000000000000000000000
χ2122222-122222222-1-1-1222222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022220000-1-1-1-10000
χ2222222-122222222-1-1-1222222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2000011110000
χ2322222-122222222-1-1-12-2-2-2-2-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000022-2-20000-1-1110000
χ2422222-122222222-1-1-12-2-2-2-2-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000-2-222000011-1-10000
χ2522222-1-2-2-2-22222-1-1-122222-2-2-2-2-1-1-1-1-2-211-2-21111111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000002-22-20000-11-110000
χ2622222-1-2-2-2-22222-1-1-122222-2-2-2-2-1-1-1-1-2-211-2-21111111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000-22-2200001-11-10000
χ2722222-1-2-2-2-22222-1-1-12-2-2-2-22222-1-1-1-1-2-211-2-21111111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-2-220000-111-10000
χ2822222-1-2-2-2-22222-1-1-12-2-2-2-22222-1-1-1-1-2-211-2-21111111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-222-200001-1-110000
χ292222-12222222-1-1222-122222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000022220000-1-1-1-1
χ302222-12222222-1-1222-122222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000-2-2-2-200001111
χ312222-12222222-1-1222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000022-2-20000-1-111
χ322222-12222222-1-1222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000000000-2-222000011-1-1
χ332222-12-2-2-2-222-1-1222-12222-2-2-2-2-1-1-1-111-2-211-2-21111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000000000002-22-20000-11-11
χ342222-12-2-2-2-222-1-1222-12222-2-2-2-2-1-1-1-111-2-211-2-21111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000000000-22-2200001-11-1
χ352222-12-2-2-2-222-1-1222-1-2-2-2-22222-1-1-1-111-2-211-2-21111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000002-2-220000-111-1
χ362222-12-2-2-2-222-1-1222-1-2-2-2-22222-1-1-1-111-2-211-2-21111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000-222-200001-1-11
χ3722-2-222002-2002-22-2-2-222−2−222−2−222-2-200002-22-2000022-2-20000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−22i2i−2i−2i00002i−2ii2i2−i2−i2i2i2−i2−i20000000000000000
χ3822-2-222002-2002-22-2-2-222−2−222−2−222-2-200002-22-2000022-2-20000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2−2i−2i2i2i0000−2i2i−i2−i2i2i2−i2−i2i2i20000000000000000
χ3922-2-222002-2002-22-2-2-2−2−222−2−22222-2-200002-22-2000022-2-200000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−222222i2i−2i−2i00002i−2i−i2−i2i2i2−i2−i2i2i20000000000000000
χ4022-2-222002-2002-22-2-2-2−2−222−2−22222-2-200002-22-2000022-2-200000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222−2i−2i2i2i0000−2i2ii2i2−i2−i2i2i2−i2−i20000000000000000
χ4122-2-22200-22002-22-2-2-222−2−2−2−22222-2-20000-22-220000-2-2220000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−222222i2i−2i−2i0000−2i2ii2i2−i2−i2−i2−i2i2i20000000000000000
χ4222-2-22200-22002-22-2-2-222−2−2−2−22222-2-20000-22-220000-2-2220000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−22222−2i−2i2i2i00002i−2i−i2−i2i2i2i2i2−i2−i20000000000000000
χ4322-2-22200-22002-22-2-2-2−2−22222−2−222-2-20000-22-220000-2-22200000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−22i2i−2i−2i0000−2i2i−i2−i2i2i2i2i2−i2−i20000000000000000
χ4422-2-22200-22002-22-2-2-2−2−22222−2−222-2-20000-22-220000-2-22200000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2−2i−2i2i2i00002i−2ii2i2−i2−i2−i2−i2i2i20000000000000000
χ452-22-2222-20000-22-22-2-22−22−22−22−22-22-22-22-2000022-2-20000000000002−22−22−22−222−2−222−2−22−22−22−22−222−2−222−2−22i−2i2i−2i002i−2i00i2−i2i2−i2i2−i2i2−i20000000000000000
χ462-22-2222-20000-22-22-2-22−22−22−22−22-22-22-22-2000022-2-20000000000002−22−22−22−222−2−222−2−22−22−22−22−222−2−222−2−2−2i2i−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i20000000000000000
χ472-22-2222-20000-22-22-2-2−22−22−22−222-22-22-22-2000022-2-2000000000000−22−22−22−22−2−222−2−222−22−22−22−22−2−222−2−2222i−2i2i−2i002i−2i00−i2i2−i2i2−i2i2−i2i20000000000000000
χ482-22-2222-20000-22-22-2-2−22−22−22−222-22-22-22-2000022-2-2000000000000−22−22−22−22−2−222−2−222−22−22−22−22−2−222−2−222−2i2i−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i20000000000000000
χ492-22-222-220000-22-22-2-22−22−2−22−222-22-2-22-220000-2-2220000000000002−22−22−22−222−2−222−2−2−22−22−22−22−2−222−2−2222i−2i2i−2i00−2i2i00i2−i2i2−i2−i2i2−i2i20000000000000000
χ502-22-222-220000-22-22-2-22−22−2−22−222-22-2-22-220000-2-2220000000000002−22−22−22−222−2−222−2−2−22−22−22−22−2−222−2−222−2i2i−2i2i002i−2i00−i2i2−i2i2i2−i2i2−i20000000000000000
χ512-22-222-220000-22-22-2-2−22−222−22−22-22-2-22-220000-2-222000000000000−22−22−22−22−2−222−2−2222−22−22−22−222−2−222−2−22i−2i2i−2i00−2i2i00−i2i2−i2i2i2−i2i2−i20000000000000000
χ522-22-222-220000-22-22-2-2−22−222−22−22-22-2-22-220000-2-222000000000000−22−22−22−22−2−222−2−2222−22−22−22−222−2−222−2−2−2i2i−2i2i002i−2i00i2−i2i2−i2−i2i2−i2i20000000000000000
χ532-2-222200002-2-2-2-2-22200002-2-222-2-2200000000000000002-22-222-2-200000000000000002-2-222-2-2222-2-2-2-2222-2-222-2000000002-2-220000000000000000
χ542-2-222200002-2-2-2-2-22200002-2-222-2-2200000000000000002-22-222-2-200000000000000002-2-222-2-2222-2-2-2-222-222-2-2200000000-222-20000000000000000
χ552-2-222200002-2-2-2-2-2220000-222-22-2-2200000000000000002-22-222-2-20000000000000000-222-2-222-2-2-22222-2-22-2-222-200000000-222-20000000000000000
χ562-2-222200002-2-2-2-2-2220000-222-22-2-2200000000000000002-22-222-2-20000000000000000-222-2-222-2-2-22222-2-2-222-2-22000000002-2-220000000000000000
χ572-2-22220000-22-2-2-2-2222-2-2200002-2-220000000000000000-22-22-2-2222-2-222-2-2222-2-2-2-22200000000000000002-2-22-2200002-2-2200000000000000000000
χ582-2-22220000-22-2-2-2-2222-2-2200002-2-220000000000000000-22-22-2-2222-2-222-2-2222-2-2-2-2220000000000000000-222-22-20000-222-200000000000000000000
χ592-2-22220000-22-2-2-2-222-222-200002-2-220000000000000000-22-22-2-222-222-2-222-2-2-22222-2-200000000000000002-2-22-220000-222-200000000000000000000
χ602-2-22220000-22-2-2-2-222-222-200002-2-220000000000000000-22-22-2-222-222-2-222-2-2-22222-2-20000000000000000-222-22-200002-2-2200000000000000000000
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χ664444-2-2444444-2-2-2-2-2-2-4-4-4-4-4-4-4-41111-2-2-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-2000000001111-2-2-2-222221111-1-1-1-12222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-2000000001111-2-2-2-222221111-1-1-1-12222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-20000000011112222-2-2-2-2-1-1-1-111112222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-20000000011112222-2-2-2-2-1-1-1-111112222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-24444-4-4-4-4111122222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-2-4-4-4-44444111122222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ7344-4-44-2004-4004-4-222-42222−22−222222−22−22-2-22200004-4-220000-2-222000000002222−22−22−2−222−2−2−2−222222222−22−22−2−222−2−2−2−222220000000000000000000000000000000000
χ7444-4-44-2004-4004-4-222-4−22−222222−22−222222-2-22200004-4-220000-2-22200000000−22−22222222−2−22222−2−2−2−2−22−22222222−2−22222−2−2−2−20000000000000000000000000000000000
χ7544-4-44-200-44004-4-222-42222−22−22−22−222222-2-2220000-442-2000022-2-2000000002222−22−22−2−222−2−2−2−22222−22−22222222−2−22222−2−2−2−20000000000000000000000000000000000
χ7644-4-44-200-44004-4-222-4−22−2222222222−22−22-2-2220000-442-2000022-2-200000000−22−22222222−2−22222−2−2−2−22222−22−22−2−222−2−2−2−222220000000000000000000000000000000000
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χ7844-4-4-24004-400-224-4-42−22−222222−22−222222-2-2220000-224-40000-2-2220000000022−2−2−22−2222222222−2−2−2−222−2−2−22−2222222222−2−2−2−20000000000000000000000000000000000
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χ1044-44-4-2-2-4400002-22-222−2222−222222−2222−221-11-12-22-20000-1-111−3i3i−3i3i00003i−3i−3i3i2−22−22−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−22−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000
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χ1194-4-44-2-20000-442222-2-2-444-400001-1-11000000003i−3i−3i3i3i−3i−3i3i2-22-2-1-1112-2-222-2-22-1-11111-1-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ1204-4-44-2-20000-442222-2-2-444-400001-1-1100000000−3i3i3i−3i−3i3i3i−3i2-22-2-1-1112-2-222-2-22-1-11111-1-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.