Finite Group Databasebeta

← Group #11788683

Character table — Group #11788683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212888844121212121212121212121212121212121212121288888824242424242424244488121212122424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91-1-111-1111-1-1111-1-1-1-1-111-111-111-1-1-1-111111-1-1-1-1ii−i−i1-11111-1-1-1-111-1-11111-1-1-1-1i−iii−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−iii−i−i1-11-11-1
χ101-1-111-1111-1-1111-1-1-1-1-111-111-111-1-1-1-111111-1-1-1-1ii−i−i1-11111-1-1-1-111-1-11111-1-1-1-1i−i−i−iiiiiii−i−i−i−ii−i−iiii−i−i−i−iii−i−iii-11-11-11
χ111-1-111-1111-1-1111-1-1-1-1-111-111-111-1-1-1-111111-1-1-1-1ii−i−i-11-1-1-1-1111111-1-1-1-1-1-11111i−iii−i−iiiii−i−i−i−i−ii−ii−i−iiiii−i−i−i−iii1-11-1-11
χ121-1-111-1111-1-1111-1-1-1-1-111-111-111-1-1-1-111111-1-1-1-1ii−i−i-11-1-1-1-1111111-1-1-1-1-1-11111i−i−i−iiiiiii−i−i−i−i−iii−i−i−iii−i−iiiii−i−i-11-111-1
χ131-1-111-1111-1-1111-1-1-1-1-111-111-111-1-1-1-111111-1-1-1-1−i−iii1-11111-1-1-1-111-1-11111-1-1-1-1−iiii−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−iii−i−i-11-11-11
χ141-1-111-1111-1-1111-1-1-1-1-111-111-111-1-1-1-111111-1-1-1-1−i−iii1-11111-1-1-1-111-1-11111-1-1-1-1−ii−i−iii−i−i−i−iiiii−ii−ii−i−iii−i−iii−i−iii1-11-11-1
χ151-1-111-1111-1-1111-1-1-1-1-111-111-111-1-1-1-111111-1-1-1-1−i−iii-11-1-1-1-1111111-1-1-1-1-1-11111−iiii−i−i−i−i−i−iiiiii−i−iiii−i−iii−i−i−i−iii-11-111-1
χ161-1-111-1111-1-1111-1-1-1-1-111-111-111-1-1-1-111111-1-1-1-1−i−iii-11-1-1-1-1111111-1-1-1-1-1-11111−ii−i−iii−i−i−i−iiiiii−ii−iii−i−i−i−iiiii−i−i1-11-1-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-20000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ192222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ202222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
χ212222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-10000-2-2-2-211-2-211-1-1-1-1111111110022220000000000-2-20000-1-1-1-11111000000
χ222222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-10000-2-2-2-211-2-211-1-1-1-11111111100-2-2-2-200000000002200001111-1-1-1-1000000
χ232222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-211-2-21100000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
χ242222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-211-2-21100000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i0000000000000000i−ii−i−33−33000000
χ252222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-211-2-21100000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i0000000000000000−ii−ii−33−33000000
χ262222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-211-2-21100000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ27222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ28222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-122-1-1222222-2-211-2-211-2-2-1-1-1-111111111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ29222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011111111-2-200111100000000000000
χ30222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-211-2-211-2-2-1-1-1-111111111-2-20000111111112200-1-1-1-100000000000000
χ312222-2-2222-22-2-2-22-2-2222222-2-2-2-222-2-222-22-2-222-2222200000000002-22-200000000-2-2000022-2-222-2-20000000000000000000000
χ322222-2-2222-22-2-2-22-2-2222222-2-2-2-222-2-222-22-2-222-2-2-2-2-200000000002-22-200000000220000-2-222-2-2220000000000000000000000
χ332222-2-222-22-22-2-22-2-2222222-2-2-2-222-2-22-22-222-2-2200000000000000-22-220000000000000000000000000000000000000022-2-200
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χ362222-2-2-122-22-211-11122-12-1-1-2-211-1-111-1-112-21-12-2222200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i3-2-20000-1-111-1-1110000i3−i3i3−i300000000000000
χ372222-2-2-122-22-211-11122-12-1-1-2-211-1-111-1-112-21-12-2-2-2-2-200−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i322000011-1-111-1-10000i3−i3i3−i300000000000000
χ382222-2-2-122-22-211-11122-12-1-1-2-211-1-111-1-112-21-12-2-2-2-2-200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i322000011-1-111-1-10000−i3i3−i3i300000000000000
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χ402-2-222-222-222-222-2-2-2-2-222-222-222-2-2-2-22-2-2-2-2222200000000000000-2-2220000000000-222-20000000000000000-222-20000000000
χ412-2-222-22-12-2-2222-2-2-2112-1-2-1-11-1-11111-122-1-1-2-21100002-222-1-1-2-211-1-111-1-1-1-11111002i2i−2i−2i00000000002i−2i0000−i−iii−i−iii000000
χ422-2-222-22-12-2-2222-2-2-2112-1-2-1-11-1-11111-122-1-1-2-21100002-222-1-1-2-211-1-111-1-1-1-1111100−2i−2i2i2i0000000000−2i2i0000ii−i−iii−i−i000000
χ432-2-222-22-12-2-2222-2-2-2112-1-2-1-11-1-11111-122-1-1-2-2110000-22-2-21122-1-1-1-1111111-1-1-1-1002i2i−2i−2i0000000000−2i2i0000−i−iiiii−i−i000000
χ442-2-222-22-12-2-2222-2-2-2112-1-2-1-11-1-11111-122-1-1-2-2110000-22-2-21122-1-1-1-1111111-1-1-1-100−2i−2i2i2i00000000002i−2i0000ii−i−i−i−iii000000
χ452-2-222-22-1-222-222-2-2-2112-1-2-1-11-1-11111-1-2-21122-1-100000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3002-2-220000000000000000-111-1−i3i3i3−i3000000
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χ472-2-222-22-1-222-222-2-2-2112-1-2-1-11-1-11111-1-2-21122-1-100000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3002-2-220000000000000000-111-1i3−i3−i3i3000000
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χ502-2-222-2-122-2-22-1-1111-2-2-121-12-2-1-11111-1-1-12211-2-22i2i−2i−2i-2211-2-2-1-122-1-1111111-1-1-1-12i−2i0000−i−i−i−iiiii−2i2i00ii−i−i00000000000000
χ512-2-222-2-122-2-22-1-1111-2-2-121-12-2-1-11111-1-1-12211-2-2−2i−2i2i2i2-2-1-12211-2-2-1-111-1-1-1-11111−2i2i0000iiii−i−i−i−i−2i2i00ii−i−i00000000000000
χ522-2-222-2-122-2-22-1-1111-2-2-121-12-2-1-11111-1-1-12211-2-2−2i−2i2i2i-2211-2-2-1-122-1-1111111-1-1-1-1−2i2i0000iiii−i−i−i−i2i−2i00−i−iii00000000000000
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χ914-4-44-444-2-4-444-4-4-444224-2-4-22-22222-2-2-2-442-2-44-22000000000000002-2-2200000000000000000000000000000000000000000000
χ924-4-44-44-24-4-444222-2-2-4-4-242-2-442222-2-2-22-2-442-24-4000000000000002-2-2200000000000000000000000000000000000000000000
χ934-4-44-44-2-244-4-4222-2-222-2-2212-2-1-1-1-1111-22-22-222-2000000−2i32i3002i3−2i3001-1-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ944-4-44-44-2-244-4-4222-2-222-2-2212-2-1-1-1-1111-22-22-222-20000002i3−2i300−2i32i3001-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ954-4-44-44-2-2-4-444222-2-222-2-2212-2-1-1-1-11112-22-22-2-2200000000000000-111-13-3-33-333-3000000000000000000000000000000000000
χ964-4-44-44-2-2-4-444222-2-222-2-2212-2-1-1-1-11112-22-22-2-2200000000000000-111-1-333-33-3-33000000000000000000000000000000000000
χ9788-8-8008-4000000800-44-84-8-40000-440040000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3-4−4i34i3-444442002i3−2i32-22i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i3-44i3−4i3-44444200−2i32i32-2−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-4000000-8004-4-848-400004-40040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000−4i34i344i3−4i34-444-42002i3−2i3-22−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004i3−4i34−4i34i34-444-4200−2i32i3-222i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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