Finite Group Databasebeta

← Group #11878841

Character table — Group #11878841

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444444444444444444444444444444444444444444444441818181824242424242424243636363636364848484848484848
order122233444444666666366688881212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424224422224444448888666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ9111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-11-11-111-1-11-11-11-11-1
χ10111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11-111-111-1-1-11-11-11-11
χ11111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-11-1-1111-1-111-1-11
χ12111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11-1-111-111-1-111-1
χ13111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-11-1-11-111-1-1-1111-11-1-11-11
χ14111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-11-111-11-11-1-1-111-11-111-11-1
χ15111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-11-111-1-1111-1-11-1-11-111-1
χ16111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-111-11-1-11-1111-1-1-111-11-1-11
χ1722222222-2-2-2-2222222222200002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222200000000-2-2000000000000
χ1822222222-2-2-2-2222222222200002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-20000000022000000000000
χ19222222-2-222-2-222222222220000-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-200000000-22000000000000
χ20222222-2-222-2-222222222220000-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222000000002-2000000000000
χ2122222-122222222-1-12-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000022002200000000-1-100-1-1
χ2222222-122222222-1-12-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-200000000110011
χ2322222-122222222-1-12-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000002200-2-200000000-1-10011
χ2422222-122222222-1-12-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000-2-20022000000001100-1-1
χ2522222-1-2-2-2-22222-1-12-1-1-1-1-122-2-2-2-211-2-21111111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000002-2002-200000000-1100-11
χ2622222-1-2-2-2-22222-1-12-1-1-1-1-122-2-2-2-211-2-21111111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000-2200-22000000001-1001-1
χ2722222-1-2-2-2-22222-1-12-1-1-1-1-1-2-222-2-211-2-21111111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000002-200-2200000000-11001-1
χ2822222-1-2-2-2-22222-1-12-1-1-1-1-1-2-222-2-211-2-21111111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000-22002-2000000001-100-11
χ292222-12222222-1-122-12-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022002200000000-1-100-1-100
χ302222-12222222-1-122-12-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-200-2-20000000011001100
χ312222-12222222-1-122-12-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100002200-2-200000000-1-1001100
χ322222-12222222-1-122-12-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-20022000000001100-1-100
χ332222-12-2-2-2-222-1-122-12-1-1-1-122-2-211-2-211-2-21111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002-2002-200000000-1100-1100
χ342222-12-2-2-2-222-1-122-12-1-1-1-122-2-211-2-211-2-21111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2200-22000000001-1001-100
χ352222-12-2-2-2-222-1-122-12-1-1-1-1-2-22211-2-211-2-21111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002-200-2200000000-11001-100
χ362222-12-2-2-2-222-1-122-12-1-1-1-1-2-22211-2-211-2-21111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-22002-2000000001-100-1100
χ3722-2-2222-200002-22-2-2-222-2-2−i2i2−i2i22-22-2000022-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22-22-20000000000−i2i2−i2i200000000
χ3822-2-2222-200002-22-2-2-222-2-2−i2i2−i2i22-22-2000022-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2-22-220000000000i2−i2i2−i200000000
χ3922-2-2222-200002-22-2-2-222-2-2i2−i2i2−i22-22-2000022-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22-22-20000000000i2−i2i2−i200000000
χ4022-2-2222-200002-22-2-2-222-2-2i2−i2i2−i22-22-2000022-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-22-220000000000−i2i2−i2i200000000
χ4122-2-222-2200002-22-2-2-222-2-2−i2i2i2−i2-22-220000-2-222000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22-2-220000000000−i2i2i2−i200000000
χ4222-2-222-2200002-22-2-2-222-2-2−i2i2i2−i2-22-220000-2-222000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-222-20000000000i2−i2−i2i200000000
χ4322-2-222-2200002-22-2-2-222-2-2i2−i2−i2i2-22-220000-2-222000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22-2-220000000000i2−i2−i2i200000000
χ4422-2-222-2200002-22-2-2-222-2-2i2−i2−i2i2-22-220000-2-222000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2-222-20000000000−i2i2i2−i200000000
χ4544444-244-4-4-4-444-2-24-2-2-2-2-2000044-2-2-4-422-2-2-2-2222222-4-422220000000000000000000000000000000000000000000000000000000000
χ4644444-2-4-444-4-444-2-24-2-2-2-2-20000-4-42244-2-22222-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000
χ474444-2444-4-4-4-4-2-244-24-2-2-2-20000-2-24422-4-4-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000
χ484444-24-4-444-4-4-2-244-24-2-2-2-2000022-4-4-2-2442222-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000
χ494444-2-2444444-2-2-2-2-2-211114444-2-2-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ504444-2-2444444-2-2-2-2-2-21111-4-4-4-4-2-2-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ514444-2-244-4-4-4-4-2-2-2-2-2-211110000-2-2-2-222221111-1-1-1-12222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ524444-2-244-4-4-4-4-2-2-2-2-2-211110000-2-2-2-222221111-1-1-1-12222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ534444-2-2-4-444-4-4-2-2-2-2-2-2111100002222-2-2-2-2-1-1-1-111112222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ544444-2-2-4-444-4-4-2-2-2-2-2-2111100002222-2-2-2-2-1-1-1-111112222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ554444-2-2-4-4-4-444-2-2-2-2-2-2111144-4-422222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ564444-2-2-4-4-4-444-2-2-2-2-2-21111-4-44422222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ5744-4-44-24-400004-4-22-42-2-222−2i22i2−2i22i24-4-220000-2-222000000000000−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ5844-4-44-24-400004-4-22-42-2-2222i2−2i22i2−2i24-4-220000-2-2220000000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ5944-4-44-2-4400004-4-22-42-2-222−2i22i22i2−2i2-442-2000022-2-2000000000000−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ6044-4-44-2-4400004-4-22-42-2-2222i2−2i2−2i22i2-442-2000022-2-20000000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ6144-4-4-244-40000-224-42-4-2-222−2i22i2−2i22i2-224-40000-2-222000000000000i2i2−i2−i2−2i2−2i22i22i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ6244-4-4-244-40000-224-42-4-2-2222i2−2i22i2−2i2-224-40000-2-222000000000000−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ6344-4-4-24-440000-224-42-4-2-222−2i22i22i2−2i22-2-44000022-2-2000000000000i2i2−i2−i2−2i2−2i22i22i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ6444-4-4-24-440000-224-42-4-2-2222i2−2i2−2i22i22-2-44000022-2-2000000000000−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2−2i2−2i22i22i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ6544-4-4-2-24-40000-22-222211-1-1−2i22i2−2i22i2-22-22000011-1-13i3i−3i−3i00003i3i−3i−3ii2i2−i2−i2i2i2−i2−i2−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23i2i2−i2−i2i2i2−i2−i2−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.