Finite Group Databasebeta

← Group #11812927

Character table — Group #11812927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121222224121212121212121212121212121212121212121212124444444444666612121212444424661212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-111-1-1-1-1-1-111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-11111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-1111
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-11111-1-1111
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1
χ17222222222-1222-1-1-12-122-1-12-1-12222-1-1-1-1-1-1-122220000222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222002200000000000020-1-10000-1-1-1-1-1-100000
χ18222222222-1222-1-1-12-122-1-12-1-12222-1-1-1-1-1-1-122220000222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200-2-2000000000000-2011000011111100000
χ19222222222-1222-1-1-12-122-1-12-1-122-2-2-1-1-1-1-1-1-122220000-2-2-211-1-1-2-2111111-1-1-1-111110022-2-20022000000000000-20110000-1-111-1-100000
χ20222222222-1222-1-1-12-122-1-12-1-122-2-2-1-1-1-1-1-1-122220000-2-2-211-1-1-2-2111111-1-1-1-1111100-2-22200-2-200000000000020-1-1000011-1-11100000
χ21222222222-1222-1-1-12-122-1-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-2111122-1-111111111-1-1-1-10022-2-200-2-200000000000020-1-10000-1-1111100000
χ22222222222-1222-1-1-12-122-1-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-2111122-1-111111111-1-1-1-100-2-2220022000000000000-2011000011-1-1-1-100000
χ23222222222-1222-1-1-12-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-111-2-211-1-1-1-11111111100222200-2-2000000000000-20110000-1-1-1-11100000
χ24222222222-1222-1-1-12-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-111-2-211-1-1-1-11111111100-2-2-2-2002200000000000020-1-100001111-1-100000
χ2522222222-12-1-1-1222-12-1-122-12-12222-1-1-1-1-1-1-1-1-1-1-122222-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-100000200-1-1-1-100000000000
χ2622222222-12-1-1-1222-12-1-122-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2001111111100000-200111100000000000
χ2722222222-12-1-1-1222-12-1-122-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-211-2-22211-2-21111-1-1-1-11111-2-200002200-1-1-1-1-1-1-1-100000-200111100000000000
χ2822222222-12-1-1-1222-12-1-122-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-22211-2-21111-1-1-1-11111220000-2-2001111111100000200-1-1-1-100000000000
χ2922222222-12-1-1-1222-12-1-122-12-1-2-222-1-1-1-1-1-1-111112222-211-2-2-2-2-1-12211111111-1-1-1-1220000-2-200-1-1-1-1111100000-200-1-11100000000000
χ3022222222-12-1-1-1222-12-1-122-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-211-2-2-2-2-1-12211111111-1-1-1-1-2-2000022001111-1-1-1-10000020011-1-100000000000
χ3122222222-12-1-1-1222-12-1-122-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-1-122-2-211-2-2-1-1-1-111111111-2-20000-2-200-1-1-1-111110000020011-1-100000000000
χ3222222222-12-1-1-1222-12-1-122-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-1-122-2-211-2-2-1-1-1-11111111122000022001111-1-1-1-100000-200-1-11100000000000
χ3322-2-2-222-2222222-2-2-2-2-2-222-2-220000222-2-2-2-2000022-2-200000000000000000000000000000002i−2i22-2-200002i2i−2i−2i0000000000002i−2i00000
χ3422-2-2-222-2222222-2-2-2-2-2-222-2-220000222-2-2-2-2000022-2-20000000000000000000000000000000−2i2i22-2-20000−2i−2i2i2i000000000000−2i2i00000
χ3522-2-2-222-2222222-2-2-2-2-2-222-2-220000222-2-2-2-20000-2-22200000000000000000000000000000002i−2i-2-2220000−2i−2i2i2i0000000000002i−2i00000
χ3622-2-2-222-2222222-2-2-2-2-2-222-2-220000222-2-2-2-20000-2-2220000000000000000000000000000000−2i2i-2-22200002i2i−2i−2i000000000000−2i2i00000
χ372-222-22-2-2222-2-2-22-2222-22-2-2-22002i−2i2-2-22-22-200002-22-200000002i−2i2i−2i000000002i2i−2i−2i2i−2i000000002-22-20000000000002i−2i0000000000000
χ382-222-22-2-2222-2-2-22-2222-22-2-2-22002i−2i2-2-22-22-20000-22-2200000002i−2i2i−2i000000002i2i−2i−2i−2i2i00000000-22-22000000000000−2i2i0000000000000
χ392-222-22-2-2222-2-2-22-2222-22-2-2-2200−2i2i2-2-22-22-200002-22-20000000−2i2i−2i2i00000000−2i−2i2i2i−2i2i000000002-22-2000000000000−2i2i0000000000000
χ402-222-22-2-2222-2-2-22-2222-22-2-2-2200−2i2i2-2-22-22-20000-22-220000000−2i2i−2i2i00000000−2i−2i2i2i2i−2i00000000-22-220000000000002i−2i0000000000000
χ412-222-22-2-2-12-111-22-2-12-112-21-2-1002i−2i-111-11-1133−3−32-22-20−i3i30000−ii2i−2i−i3−i3i3i333−3−3−i−iii2i−2i00000000-11-1133−3−300000000−ii−i3i300000000000
χ422-222-22-2-2-12-111-22-2-12-112-21-2-1002i−2i-111-11-1133−3−3-22-220−i3i30000−ii2i−2i−i3−i3i3i333−3−3−i−iii−2i2i000000001-11-1−3−33300000000i−ii3−i300000000000
χ432-222-22-2-2-12-111-22-2-12-112-21-2-1002i−2i-111-11-11−3−3332-22-20i3−i30000−ii2i−2ii3i3−i3−i3−3−333−i−iii2i−2i00000000-11-11−3−33300000000−iii3−i300000000000
χ442-222-22-2-2-12-111-22-2-12-112-21-2-1002i−2i-111-11-11−3−333-22-220i3−i30000−ii2i−2ii3i3−i3−i3−3−333−i−iii−2i2i000000001-11-133−3−300000000i−i−i3i300000000000
χ452-222-22-2-2-12-111-22-2-12-112-21-2-100−2i2i-111-11-1133−3−32-22-20i3−i30000i−i−2i2ii3i3−i3−i333−3−3ii−i−i−2i2i00000000-11-1133−3−300000000i−ii3−i300000000000
χ462-222-22-2-2-12-111-22-2-12-112-21-2-100−2i2i-111-11-1133−3−3-22-220i3−i30000i−i−2i2ii3i3−i3−i333−3−3ii−i−i2i−2i000000001-11-1−3−33300000000−ii−i3i300000000000
χ472-222-22-2-2-12-111-22-2-12-112-21-2-100−2i2i-111-11-11−3−3332-22-20−i3i30000i−i−2i2i−i3−i3i3i3−3−333ii−i−i−2i2i00000000-11-11−3−33300000000i−i−i3i300000000000
χ482-222-22-2-2-12-111-22-2-12-112-21-2-100−2i2i-111-11-11−3−333-22-220−i3i30000i−i−2i2i−i3−i3i3i3−3−333ii−i−i2i−2i000000001-11-133−3−300000000−iii3−i300000000000
χ492-22-22-22-222-22-2-2-2222-22-22-2-222i−2i00-22-2-222-22i−2i2i−2i0000000002i−2i000000002i−2i2i−2i00000000000000000000002i−2i2i−2i00000000000000002-20
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χ512-22-22-22-222-22-2-2-2222-22-22-2-22−2i2i00-22-2-222-2−2i2i−2i2i000000000−2i2i00000000−2i2i−2i2i00000000000000000000002i−2i2i−2i0000000000000000-220
χ522-22-22-22-222-22-2-2-2222-22-22-2-22−2i2i00-22-2-222-2−2i2i−2i2i000000000−2i2i00000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i00000000000000002-20
χ532-2-22-2-22222-22-2-22-2-2-22-2-222220000-22-22-2-220000000000000000000000000000000002-2002-20000002-22-22-2-22000000002-2000000000
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χ934-44-44-44-4-2-22-2222-2-2-22-22-22214i−4i00-11-1-111-1−2i2i−2i2i000000000−2i2i00003-3-33i−ii−i−3i3i3i−3i00000000000000000000000000000000000000000
χ944-44-44-44-4-2-22-2222-2-2-22-22-22214i−4i00-11-1-111-1−2i2i−2i2i000000000−2i2i0000-333-3i−ii−i3i−3i−3i3i00000000000000000000000000000000000000000
χ954-44-44-44-4-2-22-2222-2-2-22-22-2221−4i4i00-11-1-111-12i−2i2i−2i0000000002i−2i00003-3-33−ii−ii3i−3i−3i3i00000000000000000000000000000000000000000
χ964-44-44-44-4-2-22-2222-2-2-22-22-2221−4i4i00-11-1-111-12i−2i2i−2i0000000002i−2i0000-333-3−ii−ii−3i3i3i−3i00000000000000000000000000000000000000000
χ974-4-44-4-4444-2-44-42-22-424-42-24-2-200002-22-222-20000000000000000000000000000000004-400000000000000000000000000-22000000000
χ984-4-44-4-4444-2-44-42-22-424-42-24-2-200002-22-222-2000000000000000000000000000000000-44000000000000000000000000002-2000000000
χ994-4-44-4-444-242-22-44-42-4-22-44-24-200002-22-222-200000000000000000000000000000000000004-4000000-22-2200000000000000000000000
χ1004-4-44-4-444-242-22-44-42-4-22-44-24-200002-22-222-20000000000000000000000000000000000000-440000002-22-200000000000000000000000
χ1014-4-4-444-444-24-4-422-2-42-44-224-2-20000-2222-22-2000000000000000000000000000000000004-400000000000000000000000000-220000000
χ1024-4-4-444-444-24-4-422-2-42-44-224-2-20000-2222-22-200000000000000000000000000000000000-44000000000000000000000000002-20000000
χ1034-4-4-444-44-24-222-4-442-42-24-4-24-20000-2222-22-200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1044-4-4-444-44-24-222-4-442-42-24-4-24-20000-2222-22-20000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ10588-888-8-8-8-4-444-4-4-4-444-4-4444420000-2-2222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-4-4-4-4444444-4-44420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-8-888-4-44-444-4444-444-4-4-420000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-4-44444-4444-4-44-4-4200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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