Finite Group Databasebeta

← Group #11887228

Character table — Group #11887228

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121223446666612121212121212121212888846661212121212121212121212121212121212122288888824242424242424242244244661212242424244461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-11111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-111-1-111-1-11-1-11-11
χ10111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11-1-111-1-1-1-111-111-11-1
χ11111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-11-111-1
χ12111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1-111-1-1111-11-1-11
χ13111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111-11-1-11111-1-11-11-11-1
χ14111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-111-11-11-11
χ15111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-11-1-111-1-111-1-1-111-1-11
χ16111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-11-111-1-1-1-1111-1-111-1
χ1722222222-2-22222222222-2200-2-222222-22222-2-2-200000-2-2-200000000-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222-2200-2-222222-22222-2-2-200000-2-2-200000000-2-2000000000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-20000022200000000-2-200000000000000000000000022-2-2000000000002-20000
χ20222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-20000022200000000-2-2000000000000000000000000-2-22200000000000-220000
χ2122222-1222222-1-12-122222-12222-1-1-1-1-12-1-1-1-1-1-1200002-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002200000-1-1-1-100-1-100
χ2222222-1222222-1-12-122222-12222-1-1-1-1-12-1-1-1-1-1-1200002-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2000001111001100
χ2322222-1222222-1-12-122222-1-2-222-1-1-1-1-12-1-1-1-1-1-120000-2-1-1-1-2-211-2-211-1-11111111100220022000000000000-2-200000-1-1-1-1001100
χ2422222-1222222-1-12-122222-1-2-222-1-1-1-1-12-1-1-1-1-1-120000-2-1-1-1-2-211-2-211-1-11111111100-2-200-2-20000000000002200000111100-1-100
χ2522222-1-2-22222-1-12-1-2-2-2-2-2-122-2-2-1-1-11121111-1-120000-211122-1-1-2-211-1-1-1-1-1-11111002200-2-2000000000000-2200000-1-111001-100
χ2622222-1-2-22222-1-12-1-2-2-2-2-2-122-2-2-1-1-11121111-1-120000-211122-1-1-2-211-1-1-1-1-1-1111100-2-200220000000000002-20000011-1-100-1100
χ2722222-1-2-22222-1-12-1-2-2-2-2-2-1-2-2-2-2-1-1-11121111-1-1200002111-2-21122-1-1-1-11111-1-1-1-1002200-2-20000000000002-200000-1-11100-1100
χ2822222-1-2-22222-1-12-1-2-2-2-2-2-1-2-2-2-2-1-1-11121111-1-1200002111-2-21122-1-1-1-11111-1-1-1-100-2-20022000000000000-220000011-1-1001-100
χ292222-122222-1-122-12-1-1-1-12-122-1-1-1-1-122-1-1-1-1-122-1222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000002-1-1-1-10000000000
χ302222-122222-1-122-12-1-1-1-12-122-1-1-1-1-122-1-1-1-1-122-1-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-20011111111000000-211110000000000
χ312222-122222-1-122-12-1-1-1-12-1-2-2-1-1-1-1-122-1-1-1-1-122-12222-22-1-111-2-211-2-2-1-111111111-2-2002200-1-1-1-1-1-1-1-1000000-211110000000000
χ322222-122222-1-122-12-1-1-1-12-1-2-2-1-1-1-1-122-1-1-1-1-122-1-2-2-2-2-22-1-111-2-211-2-2-1-1111111112200-2-200111111110000002-1-1-1-10000000000
χ332222-12-2-222-1-122-121111-2-12211-1-1-1-2-2-1111122-12222-2-211-1-12211-2-2-1-1-1-1-1-111112200-2-200-1-1-1-11111000000-2-1-1110000000000
χ342222-12-2-222-1-122-121111-2-12211-1-1-1-2-2-1111122-1-2-2-2-2-2-211-1-12211-2-2-1-1-1-1-1-11111-2-20022001111-1-1-1-1000000211-1-10000000000
χ352222-12-2-222-1-122-121111-2-1-2-211-1-1-1-2-2-1111122-122222-21111-2-2-1-122-1-11111-1-1-1-1-2-200-2-200-1-1-1-11111000000211-1-10000000000
χ362222-12-2-222-1-122-121111-2-1-2-211-1-1-1-2-2-1111122-1-2-2-2-22-21111-2-2-1-122-1-11111-1-1-1-1220022001111-1-1-1-1000000-2-1-1110000000000
χ372-22-2222i−2i002-22-2-2-22i2i−2i−2i0200002-2-22i−2i02i2i−2i−2i00022−2−2000000000000000000000000−i2i2−i2i22−222−2−2−i2−i2i2i22-22i−2i0000000−i2i22−2000000
χ382-22-2222i−2i002-22-2-2-22i2i−2i−2i0200002-2-22i−2i02i2i−2i−2i00022−2−2000000000000000000000000i2−i2−i2i2−2222−2−2−i2−i2i2i2-22−2i2i0000000i2−i2−22000000
χ392-22-2222i−2i002-22-2-2-22i2i−2i−2i0200002-2-22i−2i02i2i−2i−2i000−2−222000000000000000000000000−i2i2i2−i22−2−2−222i2i2−i2−i2-22−2i2i0000000−i2i22−2000000
χ402-22-2222i−2i002-22-2-2-22i2i−2i−2i0200002-2-22i−2i02i2i−2i−2i000−2−222000000000000000000000000i2−i2i2−i2−22−2−222i2i2−i2−i22-22i−2i0000000i2−i2−22000000
χ412-22-222−2i2i002-22-2-2-2−2i−2i2i2i0200002-2-2−2i2i0−2i−2i2i2i00022−2−2000000000000000000000000−i2i2i2−i2−2222−2−2i2i2−i2−i2-222i−2i0000000−i2i2−22000000
χ422-22-222−2i2i002-22-2-2-2−2i−2i2i2i0200002-2-2−2i2i0−2i−2i2i2i00022−2−2000000000000000000000000i2−i2i2−i22−222−2−2i2i2−i2−i22-2−2i2i0000000i2−i22−2000000
χ432-22-222−2i2i002-22-2-2-2−2i−2i2i2i0200002-2-2−2i2i0−2i−2i2i2i000−2−222000000000000000000000000−i2i2−i2i2−22−2−222−i2−i2i2i22-2−2i2i0000000−i2i2−22000000
χ442-22-222−2i2i002-22-2-2-2−2i−2i2i2i0200002-2-2−2i2i0−2i−2i2i2i000−2−222000000000000000000000000i2−i2−i2i22−2−2−222−i2−i2i2i2-222i−2i0000000i2−i22−2000000
χ452-2-2222002-2-2-2-222-20000022i−2i00-22-200200002-2-22i−2i2i−2i00002i−2i2i−2i00002-22i2i−2i−2i00002-20000002i−2i2i−2i000000000002-2000000000000
χ462-2-2222002-2-2-2-222-20000022i−2i00-22-200200002-2-2−2i2i−2i2i00002i−2i2i−2i00002-22i2i−2i−2i0000-22000000−2i2i−2i2i00000000000-22000000000000
χ472-2-2222002-2-2-2-222-2000002−2i2i00-22-200200002-2-22i−2i2i−2i0000−2i2i−2i2i00002-2−2i−2i2i2i0000-220000002i−2i2i−2i00000000000-22000000000000
χ482-2-2222002-2-2-2-222-2000002−2i2i00-22-200200002-2-2−2i2i−2i2i0000−2i2i−2i2i00002-2−2i−2i2i2i00002-2000000−2i2i−2i2i000000000002-2000000000000
χ492-2-22-12002-211-22-1-2−i3i3−i3i30-12i−2i−i3i31-1100-1−i3i3−i3i32-212i−2i2i−2i00−i3i3−ii2i−2i3−300-11−i−iii33−3−32-2000000−ii−ii3−33−30000000-11−i3i30000000000
χ502-2-22-12002-211-22-1-2−i3i3−i3i30-12i−2i−i3i31-1100-1−i3i3−i3i32-21−2i2i−2i2i00−i3i3−ii2i−2i3−300-11−i−iii33−3−3-22000000i−ii−i−33−3300000001-1i3−i30000000000
χ512-2-22-12002-211-22-1-2−i3i3−i3i30-1−2i2i−i3i31-1100-1−i3i3−i3i32-212i−2i2i−2i00−i3i3i−i−2i2i−3300-11ii−i−i−3−333-22000000−ii−ii3−33−300000001-1i3−i30000000000
χ522-2-22-12002-211-22-1-2−i3i3−i3i30-1−2i2i−i3i31-1100-1−i3i3−i3i32-21−2i2i−2i2i00−i3i3i−i−2i2i−3300-11ii−i−i−3−3332-2000000i−ii−i−33−330000000-11−i3i30000000000
χ532-2-22-12002-211-22-1-2i3−i3i3−i30-12i−2ii3−i31-1100-1i3−i3i3−i32-212i−2i2i−2i00i3−i3−ii2i−2i−3300-11−i−iii−3−3332-2000000−ii−ii−33−330000000-11i3−i30000000000
χ542-2-22-12002-211-22-1-2i3−i3i3−i30-12i−2ii3−i31-1100-1i3−i3i3−i32-21−2i2i−2i2i00i3−i3−ii2i−2i−3300-11−i−iii−3−333-22000000i−ii−i3−33−300000001-1−i3i30000000000
χ552-2-22-12002-211-22-1-2i3−i3i3−i30-1−2i2ii3−i31-1100-1i3−i3i3−i32-212i−2i2i−2i00i3−i3i−i−2i2i3−300-11ii−i−i33−3−3-22000000−ii−ii−33−3300000001-1−i3i30000000000
χ562-2-22-12002-211-22-1-2i3−i3i3−i30-1−2i2ii3−i31-1100-1i3−i3i3−i32-21−2i2i−2i2i00i3−i3i−i−2i2i3−300-11ii−i−i33−3−32-2000000i−ii−i3−33−30000000-11i3−i30000000000
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χ614444-2-24444-2-2-2-2-2-2-2-2-2-24144-2-2111-2-2-21111-2-2-200004-211-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-241-4-4-2-2111-2-2-21111-2-2-20000-4-2112222222211-1-1-1-1-1-1-1-10000000000000000000000000000000000000
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χ654444-2-2-4-444-2-2-2-2-2-22222-41442211122-2-1-1-1-1-2-2-20000-42-1-1-2-2-2-22222111111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-22222-41-4-42211122-2-1-1-1-1-2-2-2000042-1-12222-2-2-2-211-1-1-1-111110000000000000000000000000000000000000
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χ904-4-44-2-2004-4222-2-22−2i32i3−2i32i3014i−4i−2i32i3-11-100-2i3−i3i3−i3-222000000i3−i3−2i2i−2i2i23−23001-1ii−i−i−3−3330000000000000000000000000000000000000
χ914-4-44-2-2004-4222-2-22−2i32i3−2i32i301−4i4i−2i32i3-11-100-2i3−i3i3−i3-222000000i3−i32i−2i2i−2i−2323001-1−i−iii33−3−30000000000000000000000000000000000000
χ924-4-44-2-2004-4222-2-222i3−2i32i3−2i3014i−4i2i3−2i3-11-100-2−i3i3−i3i3-222000000−i3i3−2i2i−2i2i−2323001-1ii−i−i33−3−30000000000000000000000000000000000000
χ934-4-44-2-2004-4222-2-222i3−2i32i3−2i301−4i4i2i3−2i3-11-100-2−i3i3−i3i3-222000000−i3i32i−2i2i−2i23−23001-1−i−iii−3−3330000000000000000000000000000000000000
χ944-4-44-2-200-44222-2-22−2i32i3−2i32i301002i3−2i3-11-1002i3−i3i3−i32-2-2000000−i3i300000023−23-11−3i3i3i−3i−333−30000000000000000000000000000000000000
χ954-4-44-2-200-44222-2-22−2i32i3−2i32i301002i3−2i3-11-1002i3−i3i3−i32-2-2000000−i3i3000000−2323-113i−3i−3i3i3−3−330000000000000000000000000000000000000
χ964-4-44-2-200-44222-2-222i3−2i32i3−2i30100−2i32i3-11-1002−i3i3−i3i32-2-2000000i3−i300000023−23-113i−3i−3i3i−333−30000000000000000000000000000000000000
χ974-4-44-2-200-44222-2-222i3−2i32i3−2i30100−2i32i3-11-1002−i3i3−i3i32-2-2000000i3−i3000000−2323-11−3i3i3i−3i3−3−330000000000000000000000000000000000000
χ9888-8-88-40000-8844-8-400000-4000044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-400004-4444-443−43−4343020000-2-22000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-400004-4444-4−434343−43020000-2-2200023−23−2323000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48i−8i00-44-4444−4i−4i4i4i0200002-2-2−4i4i02i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4−8i8i00-44-44444i4i−4i−4i0200002-2-24i−4i0−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000

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