Finite Group Databasebeta

← Group #11887391

Character table — Group #11887391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121222236666612121212121212121212888846666666666612121212121212121212448888882424242424242424224424412121212242424244461224
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
χ5111111111111111111111-1-111111111111111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-11111111-111-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-1-111-1-11
χ10111111-1-111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-11111111-111-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-111-1
χ11111111-1-111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-1-1-1-111-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11111-1-11-11-11-1
χ12111111-1-111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-1-1-1-111-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1-111-11-11-11
χ13111111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-11111-1-1-11-111-1
χ14111111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-1111-11-1-11
χ15111111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11-1-11-11
χ16111111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1111-1-111-1-1-1-111-111-11-1
χ1722222222-2-22222222222-2002-2-2222-2222222-2-2-20000000-200-2-200000000-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222-2002-2-2222-2222222-2-2-20000000-200-2-200000000-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-2200222222-2-2-2-2-2-2-2-2-2-200000002002200000000-2-20000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-2200222222-2-2-2-2-2-2-2-2-2-200000002002200000000-2-200000000000000000000-2-222000000000002-20000
χ2122222-12222-12-122-12222222-122-1-1-12-1-1-1-1-1-1-1-120000222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200220000000000002020000-1-1-1-100-1-100
χ2222222-12222-12-122-12222222-122-1-1-12-1-1-1-1-1-1-1-120000222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-2000000000000-20-200001111001100
χ2322222-12222-12-122-122222-2-2-122-1-1-12-1-1-1-1-1-1-1-120000-2-2-2-111-1-11111-2-211-1-1111100220022000000000000-20-20000-1-1-1-1001100
χ2422222-12222-12-122-122222-2-2-122-1-1-12-1-1-1-1-1-1-1-120000-2-2-2-111-1-11111-2-211-1-1111100-2-200-2-20000000000002020000111100-1-100
χ2522222-1-2-222-12-122-1-2-2-2-2-222-1-2-2-1-1-12111111-1-120000-2221-1-111-1-1-1-1-2-211-1-11111002200-2-200000000000020-20000-1-11100-1100
χ2622222-1-2-222-12-122-1-2-2-2-2-222-1-2-2-1-1-12111111-1-120000-2221-1-111-1-1-1-1-2-211-1-1111100-2-20022000000000000-202000011-1-1001-100
χ2722222-1-2-222-12-122-1-2-2-2-2-2-2-2-1-2-2-1-1-12111111-1-1200002-2-211111111122-1-1-1-1-1-1-1-1002200-2-2000000000000-2020000-1-111001-100
χ2822222-1-2-222-12-122-1-2-2-2-2-2-2-2-1-2-2-1-1-12111111-1-1200002-2-211111111122-1-1-1-1-1-1-1-100-2-2002200000000000020-2000011-1-100-1100
χ292222-1222222-12-1-12-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-122-122222-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000020-1-1-1-10000000000
χ302222-1222222-12-1-12-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-122-1-2-2-2-22-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2001111111100000-2011110000000000
χ312222-1222222-12-1-12-1-1-1-12-2-2-1-1-1-1-1-1-122-1-1-1-122-12222-2112-2-2-1-1111111-2-2-1-11111-2-2002200-1-1-1-1-1-1-1-100000-2011110000000000
χ322222-1222222-12-1-12-1-1-1-12-2-2-1-1-1-1-1-1-122-1-1-1-122-1-2-2-2-2-2112-2-2-1-1111111-2-2-1-111112200-2-200111111110000020-1-1-1-10000000000
χ332222-12-2-2222-12-1-121111-222-111-1-1-1-1-2-2111122-12222-2-1-1-22211-1-1-1-111-2-2-1-111112200-2-200-1-1-1-1111100000-20-1-1110000000000
χ342222-12-2-2222-12-1-121111-222-111-1-1-1-1-2-2111122-1-2-2-2-2-2-1-1-22211-1-1-1-111-2-2-1-11111-2-20022001111-1-1-1-1000002011-1-10000000000
χ352222-12-2-2222-12-1-121111-2-2-2-111-1-1-1-1-2-2111122-12222211-2-2-2111111-1-122-1-1-1-1-1-1-2-200-2-200-1-1-1-11111000002011-1-10000000000
χ362222-12-2-2222-12-1-121111-2-2-2-111-1-1-1-1-2-2111122-1-2-2-2-2211-2-2-2111111-1-122-1-1-1-1-1-1220022001111-1-1-1-100000-20-1-1110000000000
χ3722-2-222002-2-222-2-2-2000002-2200-2-2220000002-2-22i2i−2i−2i02-202-20022-2-200002-200002i−2i0000002i2i−2i−2i000000000002i−2i000000000000
χ3822-2-222002-2-222-2-2-2000002-2200-2-2220000002-2-2−2i−2i2i2i02-202-20022-2-200002-20000−2i2i000000−2i−2i2i2i00000000000−2i2i000000000000
χ3922-2-222002-2-222-2-2-200000-22200-2-2220000002-2-22i2i−2i−2i0-220-2200-2-22200002-20000−2i2i0000002i2i−2i−2i00000000000−2i2i000000000000
χ4022-2-222002-2-222-2-2-200000-22200-2-2220000002-2-2−2i−2i2i2i0-220-2200-2-22200002-200002i−2i000000−2i−2i2i2i000000000002i−2i000000000000
χ4122-2-2-12002-2-2-1211-2−i3−i3i3i302-2-1−i3i311-1-100−i3−i3i3i32-212i2i−2i−2i0-1102-2−i3i3-1-111−i3i300-11−i3−i3i3i32i−2i000000−i−iii33−3−30000000−ii3−30000000000
χ4222-2-2-12002-2-2-1211-2−i3−i3i3i302-2-1−i3i311-1-100−i3−i3i3i32-21−2i−2i2i2i0-1102-2−i3i3-1-111−i3i300-11−i3−i3i3i3−2i2i000000ii−i−i−3−3330000000i−i−330000000000
χ4322-2-2-12002-2-2-1211-2−i3−i3i3i30-22-1−i3i311-1-100−i3−i3i3i32-212i2i−2i−2i01-10-22−i3i311-1-1i3−i300-11i3i3−i3−i3−2i2i000000−i−iii33−3−30000000i−i−330000000000
χ4422-2-2-12002-2-2-1211-2−i3−i3i3i30-22-1−i3i311-1-100−i3−i3i3i32-21−2i−2i2i2i01-10-22−i3i311-1-1i3−i300-11i3i3−i3−i32i−2i000000ii−i−i−3−3330000000−ii3−30000000000
χ4522-2-2-12002-2-2-1211-2i3i3−i3−i302-2-1i3−i311-1-100i3i3−i3−i32-212i2i−2i−2i0-1102-2i3−i3-1-111i3−i300-11i3i3−i3−i32i−2i000000−i−iii−3−3330000000−ii−330000000000
χ4622-2-2-12002-2-2-1211-2i3i3−i3−i302-2-1i3−i311-1-100i3i3−i3−i32-21−2i−2i2i2i0-1102-2i3−i3-1-111i3−i300-11i3i3−i3−i3−2i2i000000ii−i−i33−3−30000000i−i3−30000000000
χ4722-2-2-12002-2-2-1211-2i3i3−i3−i30-22-1i3−i311-1-100i3i3−i3−i32-212i2i−2i−2i01-10-22i3−i311-1-1−i3i300-11−i3−i3i3i3−2i2i000000−i−iii−3−3330000000i−i3−30000000000
χ4822-2-2-12002-2-2-1211-2i3i3−i3−i30-22-1i3−i311-1-100i3i3−i3−i32-21−2i−2i2i2i01-10-22i3−i311-1-1−i3i300-11−i3−i3i3i32i−2i000000ii−i−i33−3−30000000−ii−330000000000
χ492-22-2222i−2i002-2-22-2-22i−2i2i−2i0002002-2-202i−2i2i−2i2i−2i000−i2i2−i2i20000000000000000000000002−22−2−i2i2−i2i2−i2i22−22−22-22i−2i00000002−2−i2i2000000
χ502-22-2222i−2i002-2-22-2-22i−2i2i−2i0002002-2-202i−2i2i−2i2i−2i000−i2i2−i2i2000000000000000000000000−222−2i2−i2−i2i2−i2i22−22−2-22−2i2i0000000−22i2−i2000000
χ512-22-2222i−2i002-2-22-2-22i−2i2i−2i0002002-2-202i−2i2i−2i2i−2i000i2−i2i2−i20000000000000000000000002−2−22−i2i2i2−i2i2−i2−22−22-22−2i2i00000002−2−i2i2000000
χ522-22-2222i−2i002-2-22-2-22i−2i2i−2i0002002-2-202i−2i2i−2i2i−2i000i2−i2i2−i2000000000000000000000000−22−22i2−i2i2−i2i2−i2−22−222-22i−2i0000000−22i2−i2000000
χ532-22-222−2i2i002-2-22-2-2−2i2i−2i2i0002002-2-20−2i2i−2i2i−2i2i000−i2i2−i2i20000000000000000000000002−2−22i2−i2−i2i2−i2i2−22−22-222i−2i00000002−2i2−i2000000
χ542-22-222−2i2i002-2-22-2-2−2i2i−2i2i0002002-2-20−2i2i−2i2i−2i2i000−i2i2−i2i2000000000000000000000000−22−22−i2i2−i2i2−i2i2−22−222-2−2i2i0000000−22−i2i2000000
χ552-22-222−2i2i002-2-22-2-2−2i2i−2i2i0002002-2-20−2i2i−2i2i−2i2i000i2−i2i2−i20000000000000000000000002−22−2i2−i2i2−i2i2−i22−22−22-2−2i2i00000002−2i2−i2000000
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χ5744444-244-4-4-24-244-24444-400-2-4-4-2-2-2-4-2-2-2-2-2-222-4000000020022000000002200000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-24-244-2-4-4-4-4400-244-2-2-2-422222222-40000000-200-2-2000000002200000000000000000000000000000000000000000
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χ614444-2-24444-2-2-2-2-2-2-2-2-2-24441-2-2111-2-2-21111-2-2-200004-2-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-24-4-41-2-2111-2-2-21111-2-2-20000-422-22211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4001221112-2-211112220000000200-1-13-33-30000-1-13-33-30000000000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4001221112-2-211112220000000200-1-1-33-330000-1-1-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-22222-444122111-222-1-1-1-1-2-2-20000-4-2-22-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-22222-4-4-4122111-222-1-1-1-1-2-2-20000422222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-222224001-2-2111222-1-1-1-12220000000-200113-33-30000-1-1-33-330000000000000000000000000000000000000
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χ7744-4-4-2-2004-42-2-2222−2i3−2i32i32i30-441−2i32i3-1-11-200i3i3−i3−i3-222000002-202-2i3−i3-1-1112i3−2i3001-1−i3−i3i3i30000000000000000000000000000000000000
χ7844-4-4-2-2004-42-2-22222i32i3−2i3−2i304-412i3−2i3-1-11-200−i3−i3i3i3-22200000-220-22−i3i311-1-12i3−2i3001-1−i3−i3i3i30000000000000000000000000000000000000
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χ8044-4-4-2-200-442-2-2222−2i3−2i32i32i300012i3−2i3-1-11200i3i3−i3−i32-2-20000000000−i3i33-3-33002i3−2i3-11−i3i3i3−i30000000000000000000000000000000000000
χ8144-4-4-2-200-442-2-2222−2i3−2i32i32i300012i3−2i3-1-11200i3i3−i3−i32-2-20000000000−i3i3-333-300−2i32i3-11i3−i3−i3i30000000000000000000000000000000000000
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χ8344-4-4-2-200-442-2-22222i32i3−2i3−2i30001−2i32i3-1-11200−i3−i3i3i32-2-20000000000i3−i3-333-3002i3−2i3-11−i3i3i3−i30000000000000000000000000000000000000
χ844-44-44-24i−4i00-2-424-424i−4i4i−4i000-200-2220−2i2i−2i2i−2i2i000000000000000000000000000000022−2200−2i22i20000000000000000000−22i2−i2000000
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χ894-44-4-244i−4i0042-4-22-4−2i2i−2i2i000-200-22204i−4i−2i2i−2i2i0002i2−2i22i2−2i200000000000000000000000000−222200−i2i2−i2i22−22−2000000000000000000000
χ904-44-4-24−4i4i0042-4-22-42i−2i2i−2i000-200-2220−4i4i2i−2i2i−2i000−2i22i2−2i22i200000000000000000000000000−222200i2−i2i2−i22−22−2000000000000000000000
χ914-44-4-24−4i4i0042-4-22-42i−2i2i−2i000-200-2220−4i4i2i−2i2i−2i0002i2−2i22i2−2i20000000000000000000000000022−2200−i2i2−i2i2−22−22000000000000000000000
χ924-4-44440000-4-4-4-4440000000400-44-4000000000022−22−222200000000000000000000000000000022−22−22220000000000000000000000000
χ934-4-44440000-4-4-4-4440000000400-44-40000000000−222222−22000000000000000000000000000000−222222−220000000000000000000000000
χ944-4-44-240000-42-42-2423−23−2323000-2002-2200023−23−232300022−22−2222000000000000000000000000000000−222−26−6−66000000000000000000000
χ954-4-44-240000-42-42-2423−23−2323000-2002-2200023−23−2323000−222222−220000000000000000000000000000002−2−22−666−6000000000000000000000
χ964-4-44-240000-42-42-24−232323−23000-2002-22000−232323−2300022−22−2222000000000000000000000000000000−222−2−666−6000000000000000000000
χ974-4-44-240000-42-42-24−232323−23000-2002-22000−232323−23000−222222−220000000000000000000000000000002−2−226−6−66000000000000000000000
χ988-88-8-4-48i−8i00-444-444−4i4i−4i4i0002002-2-20−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4−8i8i00-444-4444i−4i4i−4i0002002-2-204i−4i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-400004-84-88-40000000-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004444-4-443−43−4343000200-22-2000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004444-4-4−434343−43000200-22-200023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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