Finite Group Databasebeta

← Group #11865544

Character table — Group #11865544

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order12223344666666366612121212442666666661212224881212121224242424466121244882222664466666666661212121244266666666121222488121212122424242446612124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-11111-1-1-1-11-1-111-1-1-1-111111111111111111111111111111111111-1-11-1-11111-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-11111111111111-111-1-1-1-11111-111-1-1-1-1-1-11111111111111111111111-1-11111111111111-111-1-1-1-11111-111-1-1-1-1-1-1
χ61111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111-1-11111-1-1
χ9222222-2-22222222222-2-2-2-222000000000-2-200-20022-2-20000000000000222222-2-22222222222-2-2-2-222000000000-2-200-20022-2-20000000000000
χ10222222-2-22222222222-2-2-2-2-2-2000000000-2-200200-2-2220000000000000222222-2-22222222222-2-2-2-2-2-2000000000-2-200200-2-2220000000000000
χ1122222-122-1-1-1222-1-1-1-1-122-100222-1-1-1-1-1-1-1-1220220000-1-1-1-10-1-100000022222-122-1-1-1222-1-1-1-1-122-100222-1-1-1-1-1-1-1-1220220000-1-1-1-10-1-1000000
χ1222222-122-1-1-1222-1-1-1-1-122-100222-1-1-1-1-1-1-1-1-2-20-2-20000111101100000022222-122-1-1-1222-1-1-1-1-122-100222-1-1-1-1-1-1-1-1-2-20-2-200001111011000000
χ1322222-122-1-1-1222-1-1-1-1-122-100-2-2-2111111-1-1220-2-2000011110-1-100000022222-122-1-1-1222-1-1-1-1-122-100-2-2-2111111-1-1220-2-2000011110-1-1000000
χ1422222-122-1-1-1222-1-1-1-1-122-100-2-2-2111111-1-1-2-20220000-1-1-1-101100000022222-122-1-1-1222-1-1-1-1-122-100-2-2-2111111-1-1-2-20220000-1-1-1-1011000000
χ152222-1222222-1-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-100200-1-1-1-10000200-1-100002222-1222222-1-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-100200-1-1-1-10000200-1-10000
χ162222-1222222-1-1-1-1-1-1-12-1-1222-211-2-21111-1-100200-1-1-1-10000-2001100002222-1222222-1-1-1-1-1-1-12-1-1222-211-2-21111-1-100200-1-1-1-10000-200110000
χ172222-1222222-1-1-1-1-1-1-12-1-12-2-22-1-122-1-1-1-1-1-100-20011110000-2001100002222-1222222-1-1-1-1-1-1-12-1-12-2-22-1-122-1-1-1-1-1-100-20011110000-200110000
χ182222-1222222-1-1-1-1-1-1-12-1-12-2-2-211-2-21111-1-100-20011110000200-1-100002222-1222222-1-1-1-1-1-1-12-1-12-2-2-211-2-21111-1-100-20011110000200-1-10000
χ192222-12-2-2222-1-1-1-1-1-1-1-211-2220−i3i300−i3−i3i3i31100-200-1-1110000000−i3i300002222-12-2-2222-1-1-1-1-1-1-1-211-2220−i3i300−i3−i3i3i31100-200-1-1110000000−i3i30000
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χ2522-2-222002-2-22-2-222-2-20000−2i2i000000000000002−2−2i2i0022−2−20000000i2−i222-2-222002-2-22-2-222-2-20000−2i2i000000000000002−2−2i2i0022−2−20000000i2−i2
χ2622-2-222002-2-22-2-222-2-20000−2i2i00000000000000−22−2i2i00−2−2220000000−i2i222-2-222002-2-22-2-222-2-20000−2i2i00000000000000−22−2i2i00−2−2220000000−i2i2
χ272-22-2222-2-2-22-2-222-2-2222-2-2000000000002-20000000000000000002i−2i002-22-2222-2-2-22-2-222-2-2222-2-2000000000002-20000000000000000002i−2i00
χ282-22-2222-2-2-22-2-222-2-2222-2-2000000000002-2000000000000000000−2i2i002-22-2222-2-2-22-2-222-2-2222-2-2000000000002-2000000000000000000−2i2i00
χ292-22-222-22-2-22-2-222-2-22-2-22200000000000-222-20000000000002-20000002-22-222-22-2-22-2-222-2-22-2-22200000000000-222-20000000000002-2000000
χ302-22-222-22-2-22-2-222-2-22-2-22200000000000-22-22000000000000-220000002-22-222-22-2-22-2-222-2-22-2-22200000000000-22-22000000000000-22000000
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χ332-22-22-1-2211-1-2-22-111-11-22-100000i3−i3i3−i3i3−i31-12-20000000i3−i3i3−i30-110000002-22-22-1-2211-1-2-22-111-11-22-100000i3−i3i3−i3i3−i31-12-20000000i3−i3i3−i30-11000000
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χ3544444-2-4-4-2-2-2444-2-2-2-22-4-420000000000022000000000000000000000044444-2-4-4-2-2-2444-2-2-2-22-4-4200000000000220000000000000000000000
χ364444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-211111100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000
χ374444-2-244-2-2-2-2-2-21111-2-2-2-200-42222-1-1-1-11100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-200-42222-1-1-1-1110000000000000000000000
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χ394444-2-2-4-4-2-2-2-2-2-2111122220002i3−2i300−i3−i3i3i3-1-100000000000000000000004444-2-2-4-4-2-2-2-2-2-2111122220002i3−2i300−i3−i3i3i3-1-10000000000000000000000
χ4044-4-44-200-2224-4-4-2-2220000000000000000000022−220000−2−22200000000044-4-44-200-2224-4-4-2-2220000000000000000000022−220000−2−222000000000
χ4144-4-44-200-2224-4-4-2-22200000000000000000000−2222000022−2−200000000044-4-44-200-2224-4-4-2-22200000000000000000000−2222000022−2−2000000000
χ4244-4-4-24004-4-4-222-2-22200004i−4i0000000000000000−2i2i00000000000000044-4-4-24004-4-4-222-2-22200004i−4i0000000000000000−2i2i000000000000000
χ4344-4-4-24004-4-4-222-2-2220000−4i4i00000000000000002i−2i00000000000000044-4-4-24004-4-4-222-2-2220000−4i4i00000000000000002i−2i000000000000000
χ444-44-44-24-422-2-4-44-222-2-24-4200000000000-2200000000000000000000004-44-44-24-422-2-4-44-222-2-24-4200000000000-220000000000000000000000
χ454-44-4-244-4-4-4422-2-222-24-22-400000000000-2200000000000000000000004-44-4-244-4-4-4422-2-222-24-22-400000000000-220000000000000000000000
χ464-44-4-24-44-4-4422-2-222-2-42-24000000000002-200000000000000000000004-44-4-24-44-4-4422-2-222-2-42-24000000000002-20000000000000000000000
χ474-44-4-2-24-422-222-21-1-11-2-22200000003-3-331-100000000000000000000004-44-4-2-24-422-222-21-1-11-2-22200000003-3-331-10000000000000000000000
χ484-44-4-2-24-422-222-21-1-11-2-2220000000-333-31-100000000000000000000004-44-4-2-24-422-222-21-1-11-2-2220000000-333-31-10000000000000000000000
χ494-44-4-2-2-4422-222-21-1-1122-2-200000−2i32i3i3−i3i3−i3-1100000000000000000000004-44-4-2-2-4422-222-21-1-1122-2-200000−2i32i3i3−i3i3−i3-110000000000000000000000
χ504-44-4-2-2-4422-222-21-1-1122-2-2000002i3−2i3−i3i3−i3i3-1100000000000000000000004-44-4-2-2-4422-222-21-1-1122-2-2000002i3−2i3−i3i3−i3i3-110000000000000000000000
χ514-4-444400-44-4-44-44-44-40000000000000000000000000000000000000004-4-444400-44-4-44-44-44-4000000000000000000000000000000000000000
χ524-4-444-2002-22-44-4-22-2200000000000000000000000000i6−i6−i6i60000000004-4-444-2002-22-44-4-22-2200000000000000000000000000i6−i6−i6i6000000000
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χ544-4-44-2400-44-42-22-22-2200000000000000000000000023−2300000000000004-4-44-2400-44-42-22-22-2200000000000000000000000023−230000000000000
χ554-4-44-2400-44-42-22-22-22000000000000000000000000−232300000000000004-4-44-2400-44-42-22-22-22000000000000000000000000−23230000000000000
χ5688-8-8-4-400-444-44422-2-200000000000000000000000000000000000000088-8-8-4-400-444-44422-2-2000000000000000000000000000000000000000
χ578-8-88-4-4004-444-442-22-20000000000000000000000000000000000000008-8-88-4-4004-444-442-22-2000000000000000000000000000000000000000
χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5911111111111111111111111111111111111-1-11-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-111-1-11111
χ60111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-111111-1-111-1-111
χ61111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ621111111111111111111111-1-11111111111111-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11-1-1111111
χ631111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ641111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111111-1-1-1-1-111-1-1
χ651111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1-11111-1-1-1-1-111-1-1-1-111
χ66222222-2-22222222222-2-2-2-222000000000-2-200-20022-2-20000000000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-20000000002200200-2-2220000000000000
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χ752222-1222222-1-1-1-1-1-1-12-1-12-2-2-211-2-21111-1-100-20011110000200-1-10000-2-2-2-21-2-2-2-2-2-21111111-211-2222-1-122-1-1-1-11100200-1-1-1-10000-200110000
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χ782222-12-2-2222-1-1-1-1-1-1-1-211-2-2-20−i3i300−i3−i3i3i3110020011-1-10000000i3−i30000-2-2-2-21-222-2-2-211111112-1-12220i3−i300i3i3−i3−i3-1-100-200-1-1110000000−i3i30000
χ792222-12-2-2222-1-1-1-1-1-1-1-211-2-2-20i3−i300i3i3−i3−i3110020011-1-10000000−i3i30000-2-2-2-21-222-2-2-211111112-1-12220−i3i300−i3−i3i3i3-1-100-200-1-1110000000i3−i30000
χ8022-2-222002-2-22-2-222-2-200002i−2i000000000000002−22i−2i0022−2−20000000−i2i2-2-222-2-200-222-222-2-2220000−2i2i00000000000000−22−2i2i00−2−2220000000i2−i2
χ8122-2-222002-2-22-2-222-2-200002i−2i00000000000000−222i−2i00−2−2220000000i2−i2-2-222-2-200-222-222-2-2220000−2i2i000000000000002−2−2i2i0022−2−20000000−i2i2
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χ842-22-2222-2-2-22-2-222-2-2222-2-2000000000002-20000000000000000002i−2i00-22-22-2-2-2222-222-2-222-2-2-22200000000000-22000000000000000000−2i2i00
χ852-22-2222-2-2-22-2-222-2-2222-2-2000000000002-2000000000000000000−2i2i00-22-22-2-2-2222-222-2-222-2-2-22200000000000-220000000000000000002i−2i00
χ862-22-222-22-2-22-2-222-2-22-2-22200000000000-222-20000000000002-2000000-22-22-2-22-222-222-2-222-222-2-2000000000002-2-22000000000000-22000000
χ872-22-222-22-2-22-2-222-2-22-2-22200000000000-22-22000000000000-22000000-22-22-2-22-222-222-2-222-222-2-2000000000002-22-20000000000002-2000000
χ882-22-22-1-2211-1-2-22-111-11-22-100000−i3i3−i3i3−i3i31-12-20000000−i3i3−i3i30-11000000-22-22-212-2-1-1122-21-1-11-12-2100000i3−i3i3−i3i3−i3-11-220000000i3−i3i3−i301-1000000
χ892-22-22-1-2211-1-2-22-111-11-22-100000−i3i3−i3i3−i3i31-1-220000000i3−i3i3−i301-1000000-22-22-212-2-1-1122-21-1-11-12-2100000i3−i3i3−i3i3−i3-112-20000000−i3i3−i3i30-11000000
χ902-22-22-1-2211-1-2-22-111-11-22-100000i3−i3i3−i3i3−i31-12-20000000i3−i3i3−i30-11000000-22-22-212-2-1-1122-21-1-11-12-2100000−i3i3−i3i3−i3i3-11-220000000−i3i3−i3i301-1000000
χ912-22-22-1-2211-1-2-22-111-11-22-100000i3−i3i3−i3i3−i31-1-220000000−i3i3−i3i301-1000000-22-22-212-2-1-1122-21-1-11-12-2100000−i3i3−i3i3−i3i3-112-20000000i3−i3i3−i30-11000000
χ9244444-2-4-4-2-2-2444-2-2-2-22-4-4200000000000220000000000000000000000-4-4-4-4-4244222-4-4-42222-244-200000000000-2-20000000000000000000000
χ934444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000-4-4-4-422-4-4222222-1-1-1-1222200-42222-1-1-1-1-1-10000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-42222-1-1-1-1110000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-21111-1-10000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-211112222000−2i32i300i3i3−i3−i3-1-10000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20002i3−2i300−i3−i3i3i3110000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-2111122220002i3−2i300−i3−i3i3i3-1-10000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000−2i32i300i3i3−i3−i3110000000000000000000000
χ9744-4-44-200-2224-4-4-2-2220000000000000000000022−220000−2−222000000000-4-444-42002-2-2-44422-2-200000000000000000000−2222000022−2−2000000000
χ9844-4-44-200-2224-4-4-2-22200000000000000000000−2222000022−2−2000000000-4-444-42002-2-2-44422-2-20000000000000000000022−220000−2−222000000000
χ9944-4-4-24004-4-4-222-2-22200004i−4i0000000000000000−2i2i000000000000000-4-4442-400-4442-2-222-2-20000−4i4i00000000000000002i−2i000000000000000
χ10044-4-4-24004-4-4-222-2-2220000−4i4i00000000000000002i−2i000000000000000-4-4442-400-4442-2-222-2-200004i−4i0000000000000000−2i2i000000000000000
χ1014-44-44-24-422-2-4-44-222-2-24-4200000000000-220000000000000000000000-44-44-42-44-2-2244-42-2-222-44-2000000000002-20000000000000000000000
χ1024-44-4-244-4-4-4422-2-222-24-22-400000000000-220000000000000000000000-44-442-4-4444-4-2-222-2-22-42-24000000000002-20000000000000000000000
χ1034-44-4-24-44-4-4422-2-222-2-42-24000000000002-20000000000000000000000-44-442-44-444-4-2-222-2-224-22-400000000000-220000000000000000000000
χ1044-44-4-2-24-422-222-21-1-11-2-22200000003-3-331-10000000000000000000000-44-4422-44-2-22-2-22-111-122-2-20000000-333-3-110000000000000000000000
χ1054-44-4-2-24-422-222-21-1-11-2-2220000000-333-31-10000000000000000000000-44-4422-44-2-22-2-22-111-122-2-200000003-3-33-110000000000000000000000
χ1064-44-4-2-2-4422-222-21-1-1122-2-200000−2i32i3i3−i3i3−i3-110000000000000000000000-44-44224-4-2-22-2-22-111-1-2-222000002i3−2i3−i3i3−i3i31-10000000000000000000000
χ1074-44-4-2-2-4422-222-21-1-1122-2-2000002i3−2i3−i3i3−i3i3-110000000000000000000000-44-44224-4-2-22-2-22-111-1-2-22200000−2i32i3i3−i3i3−i31-10000000000000000000000
χ1084-4-444400-44-4-44-44-44-4000000000000000000000000000000000000000-444-4-4-4004-444-44-44-44000000000000000000000000000000000000000
χ1094-4-444-2002-22-44-4-22-2200000000000000000000000000i6−i6−i6i6000000000-444-4-4200-22-24-442-22-200000000000000000000000000−i6i6i6−i6000000000
χ1104-4-444-2002-22-44-4-22-2200000000000000000000000000−i6i6i6−i6000000000-444-4-4200-22-24-442-22-200000000000000000000000000i6−i6−i6i6000000000
χ1114-4-44-2400-44-42-22-22-2200000000000000000000000023−230000000000000-444-42-4004-44-22-22-22-2000000000000000000000000−23230000000000000
χ1124-4-44-2400-44-42-22-22-22000000000000000000000000−23230000000000000-444-42-4004-44-22-22-22-200000000000000000000000023−230000000000000
χ11388-8-8-4-400-444-44422-2-2000000000000000000000000000000000000000-8-88844004-4-44-4-4-2-222000000000000000000000000000000000000000
χ1148-8-88-4-4004-444-442-22-2000000000000000000000000000000000000000-888-84400-44-4-44-4-22-22000000000000000000000000000000000000000

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