Finite Group Databasebeta

← Group #11922874

Character table — Group #11922874

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222222222666688888888888888888888888888888888888888888888888812121212121212121212363636363636363672727272
order1222444422344666666612121212121212124444333666666666666666666666121212121212121212121212121212121212121212121212441212121212121212888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111-1-11-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ411111111-1-11-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ51111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-111-1-11-1-11
χ61111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-111-111-1
χ71111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1-1-11111-1-1-1-11111-1-1
χ81111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1-1-111-1-11111-1-1-1-111
χ922222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222000000000000
χ102222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ112222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ122222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1000000000000
χ1322222222-2-22-2-2-2-2-2-22222222-2-2-2-22222-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-22222-2-2-2-2000000000000
χ1422222222-2-2-1-2-21111-1-1-1-1-1-1-1111122222-1-122-1-1-1-1-2-2-2-2111111112-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-1-1-1-11111000000000000
χ1522222222-2-2-1-2-21111-1-1-1-1-1-1-111112222-12-1-1-122-1-11111-2-2-2-21111-12-1-1-1-1-12222-1-1-1-11111-2-2-2-21111-2-2-1-1-1-11111000000000000
χ1622222222-2-2-1-2-21111-1-1-1-1-1-1-111112222-1-12-1-1-1-12211111111-2-2-2-2-1-12-1-1-1-1-1-1-1-1222211111111-2-2-2-2-2-2-1-1-1-11111000000000000
χ172222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111112-222-2-222-2-2000000000000
χ182222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-2222-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-2111111112-2-1-111-1-111000000000000
χ192222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-222-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-12-11111-2-2-2-211111111-2-2-2-211112-2-1-111-1-111000000000000
χ202222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-222-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1211111111-2-2-2-211111111-2-2-2-22-2-1-111-1-111000000000000
χ212222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-2-222-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2222-2-2-2-222000000000000
χ222222-2-2-2-2-2-2-1221111-1-1-11111-1-1-1-1-2-2222-1-122-1-1-1-1-2-2-2-2111111112-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-22-1-11111-1-1000000000000
χ232222-2-2-2-2-2-2-1221111-1-1-11111-1-1-1-1-2-222-12-1-1-122-1-11111-2-2-2-21111-12-11111-2-2-2-21111-1-1-1-12222-1-1-1-1-22-1-11111-1-1000000000000
χ242222-2-2-2-2-2-2-1221111-1-1-11111-1-1-1-1-2-222-1-12-1-1-1-12211111111-2-2-2-2-1-1211111111-2-2-2-2-1-1-1-1-1-1-1-12222-22-1-11111-1-1000000000000
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χ2722-2-22i2i−2i−2i002000000-22-22i2i−2i−2i00002i−2i2-2-1-1-1-11-11-11i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3111−i−iii−i−iii−i−iii−3−333−3−333−3−333002-22i−2i0000000000000000
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χ3122-2-22i2i−2i−2i00-100i3i3−i3−i31-11−i−iii−3−3332i−2i2-22-1-12-2-11-110000i3i3−i3−i3−i3−i3i3i3-2112i2i−2i−2i−i−iii−i−iii0000−3−33333−3−300-11−iii3−i3−33000000000000
χ3222-2-22i2i−2i−2i00-100i3i3−i3−i31-11−i−iii−3−3332i−2i2-2-12-1-112-2-11−i3−i3i3i30000i3i3−i3−i31-21−i−iii2i2i−2i−2i−i−iii33−3−30000−3−33300-11−iii3−i3−33000000000000
χ3322-2-22i2i−2i−2i00-100i3i3−i3−i31-11−i−iii−3−3332i−2i2-2-1-12-11-112-2i3i3−i3−i3−i3−i3i3i3000011-2−i−iii−i−iii2i2i−2i−2i−3−33333−3−3000000-11−iii3−i3−33000000000000
χ3422-2-2−2i−2i2i2i002000000-22-2−2i−2i2i2i0000−2i2i2-22222-22-22-2000000000000-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i2i0000000000000000
χ3522-2-2−2i−2i2i2i002000000-22-2−2i−2i2i2i0000−2i2i2-2-1-1-1-11-11-11−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3111ii−i−iii−i−iii−i−i−3−333−3−333−3−333002-2−2i2i0000000000000000
χ3622-2-2−2i−2i2i2i002000000-22-2−2i−2i2i2i0000−2i2i2-2-1-1-1-11-11-11i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3111ii−i−iii−i−iii−i−i33−3−333−3−333−3−3002-2−2i2i0000000000000000
χ3722-2-2−2i−2i2i2i00-100−i3−i3i3i31-11ii−i−i−3−333−2i2i2-22-1-12-2-11-110000−i3−i3i3i3i3i3−i3−i3-211−2i−2i2i2iii−i−iii−i−i0000−3−33333−3−300-11i−i−i3i3−33000000000000
χ3822-2-2−2i−2i2i2i00-100−i3−i3i3i31-11ii−i−i−3−333−2i2i2-2-12-1-112-2-11i3i3−i3−i30000−i3−i3i3i31-21ii−i−i−2i−2i2i2iii−i−i33−3−30000−3−33300-11i−i−i3i3−33000000000000
χ3922-2-2−2i−2i2i2i00-100−i3−i3i3i31-11ii−i−i−3−333−2i2i2-2-1-12-11-112-2−i3−i3i3i3i3i3−i3−i3000011-2ii−i−iii−i−i−2i−2i2i2i−3−33333−3−3000000-11i−i−i3i3−33000000000000
χ4022-2-2−2i−2i2i2i00-100i3i3−i3−i31-11ii−i−i33−3−3−2i2i2-22-1-12-2-11-110000i3i3−i3−i3−i3−i3i3i3-211−2i−2i2i2iii−i−iii−i−i000033−3−3−3−33300-11i−ii3−i33−3000000000000
χ4122-2-2−2i−2i2i2i00-100i3i3−i3−i31-11ii−i−i33−3−3−2i2i2-2-12-1-112-2-11−i3−i3i3i30000i3i3−i3−i31-21ii−i−i−2i−2i2i2iii−i−i−3−333000033−3−300-11i−ii3−i33−3000000000000
χ4222-2-2−2i−2i2i2i00-100i3i3−i3−i31-11ii−i−i33−3−3−2i2i2-2-1-12-11-112-2i3i3−i3−i3−i3−i3i3i3000011-2ii−i−iii−i−i−2i−2i2i2i33−3−3−3−333000000-11i−ii3−i33−3000000000000
χ432-2-222-22-22-222-22-22-22-2-22-22-22-22-20000-1-1-11111111-11-11-11-11-11-1-1-1-11-11-11-11-11-11-11-11-11-11-11-11-10000000000−i2i2−i2i2−i2i2−i2i20000
χ442-2-222-22-22-222-22-22-22-2-22-22-22-22-20000-1-1-11111111-11-11-11-11-11-1-1-1-11-11-11-11-11-11-11-11-11-11-11-11-10000000000i2−i2i2−i2i2−i2i2−i20000
χ452-2-222-22-2-222-22-22-222-2-22-22-2-22-220000-1-1-1111111-11-11-11-11-11-11-1-1-11-11-11-11-11-11-1-11-11-11-11-11-110000000000−i2i2−i2i2i2−i2i2−i20000
χ462-2-222-22-2-222-22-22-222-2-22-22-2-22-220000-1-1-1111111-11-11-11-11-11-11-1-1-11-11-11-11-11-11-1-11-11-11-11-11-110000000000i2−i2i2−i2−i2i2−i2i20000
χ472-2-22-22-222-22-222-22-22-2-2-22-22-22-220000-1-1-11111111-11-11-11-11-11-1-1-1-1-11-11-11-11-11-11-11-11-11-11-11-110000000000−i2i2i2−i2−i2i2i2−i20000
χ482-2-22-22-222-22-222-22-22-2-2-22-22-22-220000-1-1-11111111-11-11-11-11-11-1-1-1-1-11-11-11-11-11-11-11-11-11-11-11-110000000000i2−i2−i2i2i2−i2−i2i20000
χ492-2-22-22-22-2222-2-22-222-2-2-22-222-22-20000-1-1-1111111-11-11-11-11-11-11-1-1-1-11-11-11-11-11-111-11-11-11-11-11-10000000000−i2i2i2−i2i2−i2−i2i20000
χ502-2-22-22-22-2222-2-22-222-2-2-22-222-22-20000-1-1-1111111-11-11-11-11-11-11-1-1-1-11-11-11-11-11-111-11-11-11-11-11-10000000000i2−i2−i2i2−i2i2i2−i20000
χ513333333333333333333333333333-1-1-1-1000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ523333333333333333333333333333-1-1-1-1000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5333333333-3-33-3-3-3-3-3-33333333-3-3-3-3-1-1-1-100000000000000000000000000000000000000000000000011-1-1-1-111111111-1-1-1-1-11-11
χ5433333333-3-33-3-3-3-3-3-33333333-3-3-3-3-1-1-1-100000000000000000000000000000000000000000000000011-1-1-1-11111-1-1-1-111111-11-1
χ553333-3-3-3-3333-3-33333333-3-3-3-3-3-3-3-311-1-1000000000000000000000000000000000000000000000000-11-1-111-1-11111-1-111-1-1-111-1
χ563333-3-3-3-3333-3-33333333-3-3-3-3-3-3-3-311-1-1000000000000000000000000000000000000000000000000-11-1-111-1-111-1-111-1-1111-1-11
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χ583333-3-3-3-3-3-3333-3-3-3-3333-3-3-3-3333311-1-10000000000000000000000000000000000000000000000001-1-1-11111-1-1-1-11111-1-111-1-1
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χ764-44-4−4i4i4i−4i00-2002i3−2i3−2i32i322-22i−2i−2i2i23−23−23230000-2112-2-11-110000i3−i3−i3i3−i3i3i3−i32-1-1−2i2i2i−2ii−i−iii−i−ii00003−3−33−333−30000000000000000000000
χ774-4-444-44-44-444-44-44-44-4-44-44-44-44-40000111-1-1-1-1-1-1-11-11-11-11-11-11111-11-11-11-11-11-11-11-11-11-11-11-110000000000000000000000
χ784-4-444-44-44-4-24-4-22-22-222-22-22-22-22000011-2-1-1-1-122-11-11-11-112-22-211-2-11-11-11-112-22-2-11-11-11-112-22-20000000000000000000000
χ794-4-444-44-44-4-24-4-22-22-222-22-22-22-2200001-21-1-122-1-1-11-112-22-2-11-111-21-11-112-22-2-11-11-11-112-22-2-11-110000000000000000000000
χ804-4-444-44-44-4-24-4-22-22-222-22-22-22-220000-21122-1-1-1-12-22-2-11-11-11-11-2112-22-2-11-11-11-112-22-2-11-11-11-110000000000000000000000
χ814-4-444-44-4-444-44-44-444-4-44-44-4-44-440000111-1-1-1-1-1-11-11-11-11-11-11-1111-11-11-11-11-11-111-11-11-11-11-11-10000000000000000000000
χ824-4-444-44-4-44-2-442-22-2-222-22-222-22-2000011-2-1-1-1-1221-11-11-11-1-22-2211-2-11-11-11-112-22-21-11-11-11-1-22-220000000000000000000000
χ834-4-444-44-4-44-2-442-22-2-222-22-222-22-200001-21-1-122-1-11-11-1-22-221-11-11-21-11-112-22-2-11-111-11-1-22-221-11-10000000000000000000000
χ844-4-444-44-4-44-2-442-22-2-222-22-222-22-20000-21122-1-1-1-1-22-221-11-11-11-1-2112-22-2-11-11-11-11-22-221-11-11-11-10000000000000000000000
χ854-4-44-44-444-44-444-44-44-4-4-44-44-44-440000111-1-1-1-1-1-1-11-11-11-11-11-111111-11-11-11-11-11-11-11-11-11-11-11-10000000000000000000000
χ864-4-44-44-444-4-2-44-22-22-2222-22-22-22-2000011-2-1-1-1-122-11-11-11-112-22-211-21-11-11-11-1-22-221-11-11-11-1-22-220000000000000000000000
χ874-4-44-44-444-4-2-44-22-22-2222-22-22-22-200001-21-1-122-1-1-11-112-22-2-11-111-211-11-1-22-221-11-11-11-1-22-221-11-10000000000000000000000
χ884-4-44-44-444-4-2-44-22-22-2222-22-22-22-20000-21122-1-1-1-12-22-2-11-11-11-11-211-22-221-11-11-11-1-22-221-11-11-11-10000000000000000000000
χ894-4-44-44-44-4444-4-44-444-4-4-44-444-44-40000111-1-1-1-1-1-11-11-11-11-11-11-11111-11-11-11-11-11-1-11-11-11-11-11-110000000000000000000000
χ904-4-44-44-44-44-24-42-22-2-2222-22-2-22-22000011-2-1-1-1-1221-11-11-11-1-22-2211-21-11-11-11-1-22-22-11-11-11-112-22-20000000000000000000000
χ914-4-44-44-44-44-24-42-22-2-2222-22-2-22-2200001-21-1-122-1-11-11-1-22-221-11-11-211-11-1-22-221-11-1-11-112-22-2-11-110000000000000000000000
χ924-4-44-44-44-44-24-42-22-2-2222-22-2-22-220000-21122-1-1-1-1-22-221-11-11-11-1-211-22-221-11-11-11-12-22-2-11-11-11-110000000000000000000000
χ936666666666-366-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-2-2-2-2000000000000000000000000000000000000000000000000-2-211111111000000000000
χ9466666666-6-6-3-6-63333-3-3-3-3-3-3-33333-2-2-2-2000000000000000000000000000000000000000000000000221111-1-1-1-1000000000000
χ956666-6-6-6-666-3-6-6-3-3-3-3-3-3-33333333322-2-2000000000000000000000000000000000000000000000000-2211-1-111-1-1000000000000
χ966666-6-6-6-6-6-6-3663333-3-3-33333-3-3-3-322-2-20000000000000000000000000000000000000000000000002-211-1-1-1-111000000000000
χ9766-6-66i6i−6i−6i006000000-66-66i6i−6i−6i0000−2i2i-2200000000000000000000000000000000000000000000000000-22−2i2i0000000000000000
χ9866-6-66i6i−6i−6i00-300−3i3−3i33i33i33-33−3i−3i3i3i3333−33−33−2i2i-22000000000000000000000000000000000000000000000000001-1i−ii3−i3−33000000000000
χ9966-6-66i6i−6i−6i00-3003i33i3−3i3−3i33-33−3i−3i3i3i−33−333333−2i2i-22000000000000000000000000000000000000000000000000001-1i−i−i3i33−3000000000000
χ10066-6-6−6i−6i6i6i006000000-66-6−6i−6i6i6i00002i−2i-2200000000000000000000000000000000000000000000000000-222i−2i0000000000000000
χ10166-6-6−6i−6i6i6i00-300−3i3−3i33i33i33-333i3i−3i−3i−33−3333332i−2i-22000000000000000000000000000000000000000000000000001-1−iii3−i33−3000000000000
χ10266-6-6−6i−6i6i6i00-3003i33i3−3i3−3i33-333i3i−3i−3i3333−33−332i−2i-22000000000000000000000000000000000000000000000000001-1−ii−i3i3−33000000000000

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