Finite Group Databasebeta

← Group #11872951

Character table — Group #11872951

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12223344444466666612121212366612121212121212121212121212124412121212121212121212121212121212121212122244444488882424242424242424668812121212121224242424244424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-111-1-11-11-1-11
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111111-1-1-1-1-11111-1-1-11-111-1
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-111-11-111-1
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1111-1-111-1-1111-11-1-11
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-11-1-111-1-1-1-1111-11-11-1
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-11-1-1-1-111-1-111-11-11-11
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11-11111-1-111-1-1-11-11-11
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11-111-1-11111-1-11-11-11-1
χ1722222222-2-2-2-22222222222222222-2-2-2-22222-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-22222222222222222-2-2-2-22222-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000000-222-200
χ19222222-2-222-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-20000000000-2-22200000000000000000000000000000000000000000022-2-200
χ20222222-2-222-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-20000000000-2-222000000000000000000000000000000000000000000-2-22200
χ2122222-12222222-1-122-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200000000000000-1-122-1-10000-1-1-1-1000000
χ2222222-12222222-1-122-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000000011-2-21100001111000000
χ2322222-12222222-1-122-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-11111111122002200000000000000-1-1-2-2-1-100001111000000
χ2422222-12222222-1-122-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-111111111-2-200-2-2000000000000001122110000-1-1-1-1000000
χ2522222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-111-2-2111111-1-1222-2-1-122-2-211-1-111-1-1-1-111112200-2-200000000000000-1-12-2110000-1-111000000
χ2622222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-111-2-2111111-1-1222-2-1-122-2-211-1-111-1-1-1-11111-2-200220000000000000011-22-1-1000011-1-1000000
χ2722222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-111-2-2111111-1-122-2211-2-222-1-1-1-1111111-1-1-1-12200-2-200000000000000-1-1-2211000011-1-1000000
χ2822222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-111-2-2111111-1-122-2211-2-222-1-1-1-1111111-1-1-1-1-2-2002200000000000000112-2-1-10000-1-111000000
χ292222-12222222-122-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200222222-1-1-1-1-1-1-1-1000000-1-1-1-10000000000
χ302222-12222222-122-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-2-2-21111111100000011110000000000
χ312222-12222222-122-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-2-2-2-21111-2-2-1-1-1-11111111100220022-2-2-2-211111111000000-1-1-1-10000000000
χ322222-12222222-122-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-2-2-2-21111-2-2-1-1-1-11111111100-2-200-2-22222-1-1-1-1-1-1-1-100000011110000000000
χ332222-12-2-2-2-222-122-1-121111-1-1-1-1-2-211-2-2111122-1-12-222-1-111-2-2-1-111-1-1-1-11111002200-2-222-2-2-1-1-1-11111000000-1-1110000000000
χ342222-12-2-2-2-222-122-1-121111-1-1-1-1-2-211-2-2111122-1-12-222-1-111-2-2-1-111-1-1-1-1111100-2-20022-2-2221111-1-1-1-100000011-1-10000000000
χ352222-12-2-2-2-222-122-1-121111-1-1-1-1-2-211-2-2111122-1-1-22-2-211-1-122-1-1111111-1-1-1-1002200-2-2-2-2221111-1-1-1-1000000-1-1110000000000
χ362222-12-2-2-2-222-122-1-121111-1-1-1-1-2-211-2-2111122-1-1-22-2-211-1-122-1-1111111-1-1-1-100-2-2002222-2-2-1-1-1-1111100000011-1-10000000000
χ372-22-2222i−2i2i−2i2-2-2-222-2-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i00000000002-2002i−2i0000000000000000002-22i−2i0000000000
χ382-22-2222i−2i2i−2i2-2-2-222-2-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i0000000000-2200−2i2i000000000000000000-22−2i2i0000000000
χ392-22-2222i−2i−2i2i-22-2-222-2-22i2i−2i−2i2-22-22i−2i−2i2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i000000002-2002i−2i000000000000002-2002i−2i00000000000000
χ402-22-2222i−2i−2i2i-22-2-222-2-22i2i−2i−2i2-22-22i−2i−2i2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i00000000-2200−2i2i00000000000000-2200−2i2i00000000000000
χ412-22-222−2i2i2i−2i-22-2-222-2-2−2i−2i2i2i2-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i000000002-200−2i2i000000000000002-200−2i2i00000000000000
χ422-22-222−2i2i2i−2i-22-2-222-2-2−2i−2i2i2i2-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i00000000-22002i−2i00000000000000-22002i−2i00000000000000
χ432-22-222−2i2i−2i2i2-2-2-222-2-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i00000000002-200−2i2i0000000000000000002-2−2i2i0000000000
χ442-22-222−2i2i−2i2i2-2-2-222-2-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i0000000000-22002i−2i000000000000000000-222i−2i0000000000
χ452-22-22-12i−2i−2i2i-22-21-12-212i2i−2i−2i-11-11−ii−2i2ii−i−i−iii1-1-2200−i3i300003−31-1i−i−i3−i3i3i333−3−32-2002i−2i00000000000000-1100−ii0000−i3i33−3000000
χ462-22-22-12i−2i−2i2i-22-21-12-212i2i−2i−2i-11-11−ii−2i2ii−i−i−iii1-1-2200−i3i300003−31-1i−i−i3−i3i3i333−3−3-2200−2i2i000000000000001-100i−i0000i3−i3−33000000
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χ482-22-22-12i−2i−2i2i-22-21-12-212i2i−2i−2i-11-11−ii−2i2ii−i−i−iii1-1-2200i3−i30000−331-1i−ii3i3−i3−i3−3−333-2200−2i2i000000000000001-100i−i0000−i3i33−3000000
χ492-22-22-1−2i2i2i−2i-22-21-12-21−2i−2i2i2i-11-11i−i2i−2i−iiii−i−i1-1-2200−i3i30000−331-1−ii−i3−i3i3i3−3−3332-200−2i2i00000000000000-1100i−i0000−i3i3−33000000
χ502-22-22-1−2i2i2i−2i-22-21-12-21−2i−2i2i2i-11-11i−i2i−2i−iiii−i−i1-1-2200−i3i30000−331-1−ii−i3−i3i3i3−3−333-22002i−2i000000000000001-100−ii0000i3−i33−3000000
χ512-22-22-1−2i2i2i−2i-22-21-12-21−2i−2i2i2i-11-11i−i2i−2i−iiii−i−i1-1-2200i3−i300003−31-1−iii3i3−i3−i333−3−32-200−2i2i00000000000000-1100i−i0000i3−i33−3000000
χ522-22-22-1−2i2i2i−2i-22-21-12-21−2i−2i2i2i-11-11i−i2i−2i−iiii−i−i1-1-2200i3−i300003−31-1−iii3i3−i3−i333−3−3-22002i−2i000000000000001-100−ii0000−i3i3−33000000
χ532-22-2-122i−2i2i−2i2-21-22-11-2−i−iii-11-112i−2i−ii2i−2i−i−iii2-2-110000−i3i33−300-11−ii−i3i3−i3i33−33−3002-2002i−2i0000−i3−i3i3i333−3−3000000-11−ii0000000000
χ542-22-2-122i−2i2i−2i2-21-22-11-2−i−iii-11-112i−2i−ii2i−2i−i−iii2-2-110000−i3i33−300-11−ii−i3i3−i3i33−33−300-2200−2i2i0000i3i3−i3−i3−3−3330000001-1i−i0000000000
χ552-22-2-122i−2i2i−2i2-21-22-11-2−i−iii-11-112i−2i−ii2i−2i−i−iii2-2-110000i3−i3−3300-11−iii3−i3i3−i3−33−33002-2002i−2i0000i3i3−i3−i3−3−333000000-11−ii0000000000
χ562-22-2-122i−2i2i−2i2-21-22-11-2−i−iii-11-112i−2i−ii2i−2i−i−iii2-2-110000i3−i3−3300-11−iii3−i3i3−i3−33−3300-2200−2i2i0000−i3−i3i3i333−3−30000001-1i−i0000000000
χ572-22-2-12−2i2i−2i2i2-21-22-11-2ii−i−i-11-11−2i2ii−i−2i2iii−i−i2-2-110000−i3i3−3300-11i−i−i3i3−i3i3−33−33002-200−2i2i0000−i3−i3i3i3−3−333000000-11i−i0000000000
χ582-22-2-12−2i2i−2i2i2-21-22-11-2ii−i−i-11-11−2i2ii−i−2i2iii−i−i2-2-110000−i3i3−3300-11i−i−i3i3−i3i3−33−3300-22002i−2i0000i3i3−i3−i333−3−30000001-1−ii0000000000
χ592-22-2-12−2i2i−2i2i2-21-22-11-2ii−i−i-11-11−2i2ii−i−2i2iii−i−i2-2-110000i3−i33−300-11i−ii3−i3i3−i33−33−3002-200−2i2i0000i3i3−i3−i333−3−3000000-11i−i0000000000
χ602-22-2-12−2i2i−2i2i2-21-22-11-2ii−i−i-11-11−2i2ii−i−2i2iii−i−i2-2-110000i3−i33−300-11i−ii3−i3i3−i33−33−300-22002i−2i0000−i3−i3i3i3−3−3330000001-1−ii0000000000
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χ794-44-44-24i−4i4i−4i4-4-42-24-424i4i−4i−4i-22-22−2i2i4i−4i−2i2i−2i−2i2i2i-224-40000000000-22−2i2i000000000000000000000000000000000000000000000000
χ804-44-44-2−4i4i−4i4i4-4-42-24-42−4i−4i4i4i-22-222i−2i−4i4i2i−2i2i2i−2i−2i-224-40000000000-222i−2i000000000000000000000000000000000000000000000000
χ814-44-4-244i−4i−4i4i-442-44-22-4−2i−2i2i2i-22-224i−4i2i−2i−4i4i−2i−2i2i2i-442-200000000002-22i−2i000000000000000000000000000000000000000000000000
χ824-44-4-24−4i4i4i−4i-442-44-22-42i2i−2i−2i-22-22−4i4i−2i2i4i−4i2i2i−2i−2i-442-200000000002-2−2i2i000000000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-422-2-222−2i−2i2i2i1-11-1−2i2i−2i2i−2i2iii−i−i-22-220000−2i32i323−23001-1i−ii3−i3i3−i3−33−330000000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-422-2-222−2i−2i2i2i1-11-1−2i2i−2i2i−2i2iii−i−i-22-2200002i3−2i3−2323001-1i−i−i3i3−i3i33−33−30000000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-4422-2-222−2i−2i2i2i1-11-1−2i2i2i−2i2i−2iii−i−i2-22-200−2i32i3000023−23-11−iii3i3−i3−i3−3−3330000000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-4422-2-222−2i−2i2i2i1-11-1−2i2i2i−2i2i−2iii−i−i2-22-2002i3−2i30000−2323-11−ii−i3−i3i3i333−3−30000000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-4422-2-2222i2i−2i−2i1-11-12i−2i−2i2i−2i2i−i−iii2-22-200−2i32i30000−2323-11i−ii3i3−i3−i333−3−30000000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-4422-2-2222i2i−2i−2i1-11-12i−2i−2i2i−2i2i−i−iii2-22-2002i3−2i3000023−23-11i−i−i3−i3i3i3−3−3330000000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-422-2-2222i2i−2i−2i1-11-12i−2i2i−2i2i−2i−i−iii-22-220000−2i32i3−2323001-1−iii3−i3i3−i33−33−30000000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-422-2-2222i2i−2i−2i1-11-12i−2i2i−2i2i−2i−i−iii-22-2200002i3−2i323−23001-1−ii−i3i3−i3i3−33−330000000000000000000000000000000000000000
χ914-4-4444000000-4-4-4-44400004-4-440000000000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ924-4-4444000000-4-4-4-44400004-4-4400000000000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ934-4-44-240000002-4-42-2423−23−2323-222-200000023−23−2323000000000000000000000000000000000022−2200−222−2−666−600000000000000000000
χ944-4-44-240000002-4-42-2423−23−2323-222-200000023−23−23230000000000000000000000000000000000−2222002−2−226−6−6600000000000000000000
χ954-4-44-240000002-4-42-24−232323−23-222-2000000−232323−23000000000000000000000000000000000022−2200−222−26−6−6600000000000000000000
χ964-4-44-240000002-4-42-24−232323−23-222-2000000−232323−230000000000000000000000000000000000−2222002−2−22−666−600000000000000000000
χ9788-8-88-40000008-44-8-840000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4000000-4-44444−4i34i3−4i34i322-2-20000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4000000-4-444444i3−4i34i3−4i322-2-2000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-4000000-844-88-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000004444-4-443−43−43432-2-22000000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000004444-4-4−434343−432-2-2200000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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