Finite Group Databasebeta

← Group #11887382

Character table — Group #11887382

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121223446666612121212121212121212888846661212121212121212121212121212121212122288888824242424242424242244244661212242424244461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1
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
χ61111111111111111111111-1-11111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111
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
χ9111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-11-1-111-1
χ10111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11-1-111-1-1-1-111-111-1-11
χ11111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-11-11-11
χ12111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-1111-11-11-1
χ13111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-11-11-1-11
χ14111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-111-11-111-1
χ15111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1111111-1-11-1-111-1-111-1-1-111-11-1
χ16111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1111-1-1-1-1111-1-11-11
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
χ2122222-1222222-1-12-122222-12222-1-1-1-1-12-1-1-1-1-1-1200002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002020000-1-1-1-100-1-100
χ2222222-1222222-1-12-122222-12222-1-1-1-1-12-1-1-1-1-1-1200002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-20-200001111001100
χ2322222-1222222-1-12-122222-1-2-222-1-1-1-1-12-1-1-1-1-1-120000-2-1-1-1-2-2-2-21111-1-11111111100220022000000000000-20-20000-1-1-1-1001100
χ2422222-1222222-1-12-122222-1-2-222-1-1-1-1-12-1-1-1-1-1-120000-2-1-1-1-2-2-2-21111-1-11111111100-2-200-2-20000000000002020000111100-1-100
χ2522222-1-2-22222-1-12-1-2-2-2-2-2-122-2-2-1-1-11121111-1-120000-211122-2-211-1-1-1-1-1-1-1-11111002200-2-2000000000000-2020000-1-111001-100
χ2622222-1-2-22222-1-12-1-2-2-2-2-2-122-2-2-1-1-11121111-1-120000-211122-2-211-1-1-1-1-1-1-1-1111100-2-2002200000000000020-2000011-1-100-1100
χ2722222-1-2-22222-1-12-1-2-2-2-2-2-1-2-2-2-2-1-1-11121111-1-1200002111-2-222-1-111-1-11111-1-1-1-1002200-2-200000000000020-20000-1-11100-1100
χ2822222-1-2-22222-1-12-1-2-2-2-2-2-1-2-2-2-2-1-1-11121111-1-1200002111-2-222-1-111-1-11111-1-1-1-100-2-20022000000000000-202000011-1-1001-100
χ292222-122222-1-122-12-1-1-1-12-122-1-1-1-1-122-1-1-1-1-122-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000020-1-1-1-10000000000
χ302222-122222-1-122-12-1-1-1-12-122-1-1-1-1-122-1-1-1-1-122-1-2-2-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111111100000-2011110000000000
χ312222-122222-1-122-12-1-1-1-12-1-2-2-1-1-1-1-122-1-1-1-1-122-12222-22-1-11111-2-2-2-2-1-111111111-2-2002200-1-1-1-1-1-1-1-100000-2011110000000000
χ322222-122222-1-122-12-1-1-1-12-1-2-2-1-1-1-1-122-1-1-1-1-122-1-2-2-2-2-22-1-11111-2-2-2-2-1-1111111112200-2-200111111110000020-1-1-1-10000000000
χ332222-12-2-222-1-122-121111-2-12211-1-1-1-2-2-1111122-12222-2-211-1-111-2-222-1-1-1-1-1-111112200-2-200-1-1-1-1111100000-20-1-1110000000000
χ342222-12-2-222-1-122-121111-2-12211-1-1-1-2-2-1111122-1-2-2-2-2-2-211-1-111-2-222-1-1-1-1-1-11111-2-20022001111-1-1-1-1000002011-1-10000000000
χ352222-12-2-222-1-122-121111-2-1-2-211-1-1-1-2-2-1111122-122222-21111-1-122-2-2-1-11111-1-1-1-1-2-200-2-200-1-1-1-11111000002011-1-10000000000
χ362222-12-2-222-1-122-121111-2-1-2-211-1-1-1-2-2-1111122-1-2-2-2-22-21111-1-122-2-2-1-11111-1-1-1-1220022001111-1-1-1-100000-20-1-1110000000000
χ3722-2-2222i−2i002-22-2-2-22i2i−2i−2i0200002-2-22i−2i02i2i−2i−2i000−i2−i2i2i20000000000000000000000002−22−2−i2i2−i2−i2i2i222−2−22-22i−2i00000002−2−i2i2000000
χ3822-2-2222i−2i002-22-2-2-22i2i−2i−2i0200002-2-22i−2i02i2i−2i−2i000−i2−i2i2i2000000000000000000000000−222−2i2−i2−i2−i2i2i222−2−2-22−2i2i0000000−22i2−i2000000
χ3922-2-2222i−2i002-22-2-2-22i2i−2i−2i0200002-2-22i−2i02i2i−2i−2i000i2i2−i2−i20000000000000000000000002−2−22−i2i2i2i2−i2−i2−2−222-22−2i2i00000002−2−i2i2000000
χ4022-2-2222i−2i002-22-2-2-22i2i−2i−2i0200002-2-22i−2i02i2i−2i−2i000i2i2−i2−i2000000000000000000000000−22−22i2−i2i2i2−i2−i2−2−2222-22i−2i0000000−22i2−i2000000
χ4122-2-222−2i2i002-22-2-2-2−2i−2i2i2i0200002-2-2−2i2i0−2i−2i2i2i000−i2−i2i2i20000000000000000000000002−2−22i2−i2−i2−i2i2i2−2−222-222i−2i00000002−2i2−i2000000
χ4222-2-222−2i2i002-22-2-2-2−2i−2i2i2i0200002-2-2−2i2i0−2i−2i2i2i000−i2−i2i2i2000000000000000000000000−22−22−i2i2−i2−i2i2i2−2−2222-2−2i2i0000000−22−i2i2000000
χ4322-2-222−2i2i002-22-2-2-2−2i−2i2i2i0200002-2-2−2i2i0−2i−2i2i2i000i2i2−i2−i20000000000000000000000002−22−2i2−i2i2i2−i2−i222−2−22-2−2i2i00000002−2i2−i2000000
χ4422-2-222−2i2i002-22-2-2-2−2i−2i2i2i0200002-2-2−2i2i0−2i−2i2i2i000i2i2−i2−i2000000000000000000000000−222−2−i2i2i2i2−i2−i222−2−2-222i−2i0000000−22−i2i2000000
χ452-22-222002-2-2-2-222-20000022i−2i00-22-200200002-2-22i−2i2i−2i00002i−2i00002i−2i2-22i2i−2i−2i00002-20000002i−2i2i−2i000000000002-2000000000000
χ462-22-222002-2-2-2-222-20000022i−2i00-22-200200002-2-2−2i2i−2i2i00002i−2i00002i−2i2-22i2i−2i−2i0000-22000000−2i2i−2i2i00000000000-22000000000000
χ472-22-222002-2-2-2-222-2000002−2i2i00-22-200200002-2-22i−2i2i−2i0000−2i2i0000−2i2i2-2−2i−2i2i2i0000-220000002i−2i2i−2i00000000000-22000000000000
χ482-22-222002-2-2-2-222-2000002−2i2i00-22-200200002-2-2−2i2i−2i2i0000−2i2i0000−2i2i2-2−2i−2i2i2i00002-2000000−2i2i−2i2i000000000002-2000000000000
χ492-22-2-12002-211-22-1-2−i3i3−i3i30-12i−2i−i3i31-1100-1−i3i3−i3i32-212i−2i2i−2i00−i3i3−ii3−3002i−2i-11−i−iii33−3−32-2000000−ii−ii3−33−30000000-11−i3i30000000000
χ502-22-2-12002-211-22-1-2−i3i3−i3i30-12i−2i−i3i31-1100-1−i3i3−i3i32-21−2i2i−2i2i00−i3i3−ii3−3002i−2i-11−i−iii33−3−3-22000000i−ii−i−33−3300000001-1i3−i30000000000
χ512-22-2-12002-211-22-1-2−i3i3−i3i30-1−2i2i−i3i31-1100-1−i3i3−i3i32-212i−2i2i−2i00−i3i3i−i−3300−2i2i-11ii−i−i−3−333-22000000−ii−ii3−33−300000001-1i3−i30000000000
χ522-22-2-12002-211-22-1-2−i3i3−i3i30-1−2i2i−i3i31-1100-1−i3i3−i3i32-21−2i2i−2i2i00−i3i3i−i−3300−2i2i-11ii−i−i−3−3332-2000000i−ii−i−33−330000000-11−i3i30000000000
χ532-22-2-12002-211-22-1-2i3−i3i3−i30-12i−2ii3−i31-1100-1i3−i3i3−i32-212i−2i2i−2i00i3−i3−ii−33002i−2i-11−i−iii−3−3332-2000000−ii−ii−33−330000000-11i3−i30000000000
χ542-22-2-12002-211-22-1-2i3−i3i3−i30-12i−2ii3−i31-1100-1i3−i3i3−i32-21−2i2i−2i2i00i3−i3−ii−33002i−2i-11−i−iii−3−333-22000000i−ii−i3−33−300000001-1−i3i30000000000
χ552-22-2-12002-211-22-1-2i3−i3i3−i30-1−2i2ii3−i31-1100-1i3−i3i3−i32-212i−2i2i−2i00i3−i3i−i3−300−2i2i-11ii−i−i33−3−3-22000000−ii−ii−33−3300000001-1−i3i30000000000
χ562-22-2-12002-211-22-1-2i3−i3i3−i30-1−2i2ii3−i31-1100-1i3−i3i3−i32-21−2i2i−2i2i00i3−i3i−i3−300−2i2i-11ii−i−i33−3−32-2000000i−ii−i3−33−30000000-11i3−i30000000000
χ5744444-244-4-444-2-24-24444-4-200-4-4-2-2-2-2-2-4-2-2-2-222-4000002220000000022000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-444-2-24-2-4-4-4-44-20044-2-2-222-4222222-400000-2-2-20000000022000000000000000000000000000000000000000000000
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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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χ654444-2-2-4-444-2-2-2-2-2-22222-41442211122-2-1-1-1-1-2-2-20000-42-1-1-2-22222-2-2111111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-22222-41-4-42211122-2-1-1-1-1-2-2-2000042-1-122-2-2-2-22211-1-1-1-111110000000000000000000000000000000000000
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χ7544-4-4-24−4i4i00-224-42-42i2i−2i−2i0-20000-222−4i4i02i2i−2i−2i000−2i2−2i22i22i200000000000000000000000000−222200i2i2−i2−i222−2−2000000000000000000000
χ7644-4-4-24−4i4i00-224-42-42i2i−2i−2i0-20000-222−4i4i02i2i−2i−2i0002i22i2−2i2−2i20000000000000000000000000022−2200−i2−i2i2i2−2−222000000000000000000000
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χ874-44-4-2-2004-4222-2-222i3−2i32i3−2i301−4i4i2i3−2i3-11-100-2−i3i3−i3i3-222000000−i3i32i−2i23−23002i−2i1-1−i−iii−3−3330000000000000000000000000000000000000
χ884-44-4-2-200-44222-2-22−2i32i3−2i32i301002i3−2i3-11-1002i3−i3i3−i32-2-2000000−i3i3000023−2300-11−3i3i3i−3i−333−30000000000000000000000000000000000000
χ894-44-4-2-200-44222-2-22−2i32i3−2i32i301002i3−2i3-11-1002i3−i3i3−i32-2-2000000−i3i30000−232300-113i−3i−3i3i3−3−330000000000000000000000000000000000000
χ904-44-4-2-200-44222-2-222i3−2i32i3−2i30100−2i32i3-11-1002−i3i3−i3i32-2-2000000i3−i3000023−2300-113i−3i−3i3i−333−30000000000000000000000000000000000000
χ914-44-4-2-200-44222-2-222i3−2i32i3−2i30100−2i32i3-11-1002−i3i3−i3i32-2-2000000i3−i30000−232300-11−3i3i3i−3i3−3−330000000000000000000000000000000000000
χ924-4-44440000-44-4-4-440000040000-4-44000000000022−22−222200000000000000000000000000000022−22−22220000000000000000000000000
χ934-4-44440000-44-4-4-440000040000-4-440000000000−222222−22000000000000000000000000000000−222222−220000000000000000000000000
χ944-4-44-2400002-2-4-42423−23−23230-2000022-200023−23−232300022−22−2222000000000000000000000000000000−222−26−6−66000000000000000000000
χ954-4-44-2400002-2-4-42423−23−23230-2000022-200023−23−2323000−222222−220000000000000000000000000000002−2−22−666−6000000000000000000000
χ964-4-44-2400002-2-4-424−232323−230-2000022-2000−232323−2300022−22−2222000000000000000000000000000000−222−2−666−6000000000000000000000
χ974-4-44-2400002-2-4-424−232323−230-2000022-2000−232323−23000−222222−220000000000000000000000000000002−2−226−6−66000000000000000000000
χ9888-8-8-4-48i−8i00-44-4444−4i−4i4i4i0200002-2-2−4i4i02i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4−8i8i00-44-44444i4i−4i−4i0200002-2-24i−4i0−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-8844-8-400000-4000044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004-4444-443−43−4343020000-2-22000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004-4444-4−434343−43020000-2-2200023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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