Finite Group Databasebeta

← Group #11791378

Character table — Group #11791378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212888844121212121212121212121212121212121212121244448824242424242424244488121212121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ91-1-111-11111-1-111-1-1-1-11-1-1111-111-1-1-1-1111-11-1-1-1111-1-11-111-1-111-1-111-1-11111-1-1-1-1ii−i−i1-11111-1-1-1-11-1i−iii−i−i11-1-1ii−i−iii−i−ii−i
χ101-1-111-11111-1-111-1-1-1-11-1-1111-111-1-1-1-1111-11-1-1-1111-1-11-111-1-111-1-111-1-11111-1-1-1-1−i−iii1-11111-1-1-1-11-1−ii−i−iii11-1-1−i−iii−i−iii−ii
χ111-1-111-11111-1-111-1-1-1-11-1-1111-111-1-1-1-1111-11-1-1-1111-1-1-11-1-111-1-11111-1-1-1-1-1-11111ii−i−i1-11111-1-1-1-1-11−iiii−i−i-1-111−i−iiiii−i−i−ii
χ121-1-111-11111-1-111-1-1-1-11-1-1111-111-1-1-1-1111-11-1-1-1111-1-1-11-1-111-1-11111-1-1-1-1-1-11111−i−iii1-11111-1-1-1-1-11i−i−i−iii-1-111ii−i−i−i−iiii−i
χ131-1-111-11111-1-111-1-1-1-11-1-1111-111-1-1-1-1111-11-1-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-1ii−i−i-11-1-1-1-11111-11i−iii−i−i-1-111ii−i−i−i−iii−ii
χ141-1-111-11111-1-111-1-1-1-11-1-1111-111-1-1-1-1111-11-1-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-1−i−iii-11-1-1-1-11111-11−ii−i−iii-1-111−i−iiiii−i−ii−i
χ151-1-111-11111-1-111-1-1-1-11-1-1111-111-1-1-1-1111-11-1-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111ii−i−i-11-1-1-1-111111-1−iiii−i−i11-1-1−i−iii−i−iiii−i
χ161-1-111-11111-1-111-1-1-1-11-1-1111-111-1-1-1-1111-11-1-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111−i−iii-11-1-1-1-111111-1i−i−i−iii11-1-1ii−i−iii−i−i−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1222-12000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000000022-1-1-1-10000-1-1-1-1000000
χ202222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1222-12000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2111100001111000000
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χ24222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1222-1-1-12-12222-2-2-2-2-2-21111-1-1-1-111111111000022-1-1-1-1-1-1-1-1-2-200000011110000000000
χ25222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200000011110000000000
χ26222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-2-2-2-2-21111-1-1-1-1111111110000-2-21111111122000000-1-1-1-10000000000
χ272222-2-2222-2-22-2-222-2-222222-2-2-2-222-2-222-2-222-22-2000000000000002-22-2000000002-22-2000000000000002-22-200000000000000
χ282222-2-2222-2-22-2-222-2-222222-2-2-2-222-2-222-2-222-22-2000000000000002-22-200000000-22-2200000000000000-22-2200000000000000
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χ302222-2-222-222-2-2-222-2-222222-2-2-2-222-2-22-222-2-22-22-2-2-2-20000000000-22-2200000000000022-2-222-2-2220000000000000000000000
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χ362222-2-2-12-222-211-1-111222-1-1-2-211-1-111-1-22211-1-2-12222000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i30000-2-2-1-111-1-11100000000i3−i3i3−i30000000000
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χ402-2-222-222-2-22222-2-2-2-22-2-2222-222-2-2-2-22-2-22-2222-200000000000000-2-22200000000000000000000000000000000000000-222-200
χ412-2-222-22-122-2-222-2-2-2-2-1112-1-11-1-11111-1-1-112-2-21200002-2-1-11122-2-2-1-111-1-1-1-111112i2i−2i−2i0000000000002i−2i−i−iii0000−i−iii000000
χ422-2-222-22-122-2-222-2-2-2-2-1112-1-11-1-11111-1-1-112-2-21200002-2-1-11122-2-2-1-111-1-1-1-11111−2i−2i2i2i000000000000−2i2iii−i−i0000ii−i−i000000
χ432-2-222-22-122-2-222-2-2-2-2-1112-1-11-1-11111-1-1-112-2-2120000-2211-1-1-2-222-1-1111111-1-1-1-12i2i−2i−2i000000000000−2i2i−i−iii0000ii−i−i000000
χ442-2-222-22-122-2-222-2-2-2-2-1112-1-11-1-11111-1-1-112-2-2120000-2211-1-1-2-222-1-1111111-1-1-1-1−2i−2i2i2i0000000000002i−2iii−i−i0000−i−iii000000
χ452-2-222-2-1222-2-2-1-111112-2-2-1-12-2-1-11111-122-2-111-2-122-2-22-222-2-2-1-111-1-111-1-1-1-1111100002-2-1-1-1-111112-2000000-1-1110000000000
χ462-2-222-2-1222-2-2-1-111112-2-2-1-12-2-1-11111-122-2-111-2-122-2-2-22-2-22211-1-1-1-1111111-1-1-1-100002-2-1-1-1-11111-2200000011-1-10000000000
χ472-2-222-2-1222-2-2-1-111112-2-2-1-12-2-1-11111-122-2-111-2-1-2-2222-222-2-2-1-111-1-111-1-1-1-111110000-221111-1-1-1-1-2200000011-1-10000000000
χ482-2-222-2-1222-2-2-1-111112-2-2-1-12-2-1-11111-122-2-111-2-1-2-222-22-2-22211-1-1-1-1111111-1-1-1-10000-221111-1-1-1-12-2000000-1-1110000000000
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χ924-4-44-44-244-44-42222-2-24-4-4-2-2-442222-2-2-24-44-22-2-4200000000000000-222-200000000000000000000000000000000000000000000
χ934-4-44-44-2-24-44-42222-2-2-222-212-2-1-1-1-1111-22-2-22-222000000−2i32i32i3−2i300001-1-11i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ944-4-44-44-2-24-44-42222-2-2-222-212-2-1-1-1-1111-22-2-22-2220000002i3−2i3−2i32i300001-1-11−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ954-4-44-44-2-2-44-442222-2-2-222-212-2-1-1-1-11112-222-22-2-20000000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ964-4-44-44-2-2-44-442222-2-2-222-212-2-1-1-1-11112-222-22-2-200000000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ9788-8-8008-40000008-8004-44-8-40000-440040000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3-44−4i34i34-4442002i3−2i32-22i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i3-444i3−4i34-444200−2i32i32-2−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-4000000-880044-4-8-400004-40040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000−4i34i34-44i3−4i344-442002i3−2i3-22−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004i3−4i34-4−4i34i344-44200−2i32i3-222i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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