Finite Group Databasebeta

← Group #11872317

Character table — Group #11872317

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122233444444666666121212123666121212121212121212121212121224666666661212121212121212121212122244444488882424242424242424668812121212121224242424244424
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-111-1-11-11-1-11
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111111-1-1-1-1-11111-1-1-11-111-1
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-111-11-111-1
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1111-1-111-1-1111-11-1-11
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-1111111-11-1-111-1-1-1-1111-11-11-1
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-11111-1-1-1-111-11-1-1-1-111-1-111-11-11-11
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11-11111-1-111-1-1-11-11-11
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11-111-1-11111-1-11-11-11-1
χ1722222222-2-2-2-22222222222222222-2-2-2-22222-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-22222222222222222-2-2-2-22222-2-2-2-200000000000000-2-2-2-200000000000000000000000000000000000000-222-200
χ19222222-2-222-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-200000000000000-2-2220000000000000000000000000000000000000022-2-200
χ20222222-2-222-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-200000000000000-2-22200000000000000000000000000000000000000-2-22200
χ2122222-1222222-12-122-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122002200000000000000-1-122-1-10000-1-1-1-1000000
χ2222222-1222222-12-122-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000000011-2-21100001111000000
χ2322222-1222222-12-122-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2111111-2-211-1-1-1-1111122002200000000000000-1-1-2-2-1-100001111000000
χ2422222-1222222-12-122-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2111111-2-211-1-1-1-11111-2-200-2-2000000000000001122110000-1-1-1-1000000
χ2522222-1-2-2-2-222-12-122-1-2-2-2-2-1-1-1-111-2-2111111-1-1222-222-1-1-1-1-1-1-2-211-1-11111112200-2-200000000000000-1-12-2110000-1-111000000
χ2622222-1-2-2-2-222-12-122-1-2-2-2-2-1-1-1-111-2-2111111-1-1222-222-1-1-1-1-1-1-2-211-1-1111111-2-200220000000000000011-22-1-1000011-1-1000000
χ2722222-1-2-2-2-222-12-122-1-2-2-2-2-1-1-1-111-2-2111111-1-122-22-2-211111122-1-1-1-111-1-1-1-12200-2-200000000000000-1-1-2211000011-1-1000000
χ2822222-1-2-2-2-222-12-122-1-2-2-2-2-1-1-1-111-2-2111111-1-122-22-2-211111122-1-1-1-111-1-1-1-1-2-2002200000000000000112-2-1-10000-1-111000000
χ292222-122222222-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200222222-1-1-1-1-1-1-1-1000000-1-1-1-10000000000
χ302222-122222222-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-2-2-2-2-21111111100000011110000000000
χ312222-122222222-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-2-211-2-2111111-2-2-1-1-1-1111100220022-2-2-2-211111111000000-1-1-1-10000000000
χ322222-122222222-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-2-211-2-2111111-2-2-1-1-1-1111100-2-200-2-22222-1-1-1-1-1-1-1-100000011110000000000
χ332222-12-2-2-2-2222-12-1-121111-1-1-1-1-2-211-2-2111122-1-12-2-1-122-1-1-1-111-2-2-1-1111111002200-2-222-2-2-1-1-1-11111000000-1-1110000000000
χ342222-12-2-2-2-2222-12-1-121111-1-1-1-1-2-211-2-2111122-1-12-2-1-122-1-1-1-111-2-2-1-111111100-2-20022-2-2221111-1-1-1-100000011-1-10000000000
χ352222-12-2-2-2-2222-12-1-121111-1-1-1-1-2-211-2-2111122-1-1-2211-2-21111-1-122-1-111-1-1-1-1002200-2-2-2-2221111-1-1-1-1000000-1-1110000000000
χ362222-12-2-2-2-2222-12-1-121111-1-1-1-1-2-211-2-2111122-1-1-2211-2-21111-1-122-1-111-1-1-1-100-2-2002222-2-2-1-1-1-1111100000011-1-10000000000
χ372-22-2222i−2i2i−2i2-22-2-22-2-22i2i−2i−2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000000000002-22i−2i0000002-2002i−2i0000000000000000002-22i−2i0000000000
χ382-22-2222i−2i2i−2i2-22-2-22-2-22i2i−2i−2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000000000002-22i−2i000000-2200−2i2i000000000000000000-22−2i2i0000000000
χ392-22-2222i−2i−2i2i-222-2-22-2-22i2i−2i−2i22-2-22i−2i−2i2i−2i2i2i2i−2i−2i-22-2200000000000000-22−2i2i00002-2002i−2i000000000000002-2002i−2i00000000000000
χ402-22-2222i−2i−2i2i-222-2-22-2-22i2i−2i−2i22-2-22i−2i−2i2i−2i2i2i2i−2i−2i-22-2200000000000000-22−2i2i0000-2200−2i2i00000000000000-2200−2i2i00000000000000
χ412-22-222−2i2i2i−2i-222-2-22-2-2−2i−2i2i2i22-2-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-2200000000000000-222i−2i00002-200−2i2i000000000000002-200−2i2i00000000000000
χ422-22-222−2i2i2i−2i-222-2-22-2-2−2i−2i2i2i22-2-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-2200000000000000-222i−2i0000-22002i−2i00000000000000-22002i−2i00000000000000
χ432-22-222−2i2i−2i2i2-22-2-22-2-2−2i−2i2i2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000000000002-2−2i2i0000002-200−2i2i0000000000000000002-2−2i2i0000000000
χ442-22-222−2i2i−2i2i2-22-2-22-2-2−2i−2i2i2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000000000002-2−2i2i000000-22002i−2i000000000000000000-222i−2i0000000000
χ452-22-22-12i−2i−2i2i-22-1-212-212i2i−2i−2i-1-111−ii−2i2ii−i−i−iii1-1-220000−i3i3−i3−i3i3i3003−31-1i−i33−3−32-2002i−2i00000000000000-1100−ii0000−i3i33−3000000
χ462-22-22-12i−2i−2i2i-22-1-212-212i2i−2i−2i-1-111−ii−2i2ii−i−i−iii1-1-220000−i3i3−i3−i3i3i3003−31-1i−i33−3−3-2200−2i2i000000000000001-100i−i0000i3−i3−33000000
χ472-22-22-12i−2i−2i2i-22-1-212-212i2i−2i−2i-1-111−ii−2i2ii−i−i−iii1-1-220000i3−i3i3i3−i3−i300−331-1i−i−3−3332-2002i−2i00000000000000-1100−ii0000i3−i3−33000000
χ482-22-22-12i−2i−2i2i-22-1-212-212i2i−2i−2i-1-111−ii−2i2ii−i−i−iii1-1-220000i3−i3i3i3−i3−i300−331-1i−i−3−333-2200−2i2i000000000000001-100i−i0000−i3i33−3000000
χ492-22-22-1−2i2i2i−2i-22-1-212-21−2i−2i2i2i-1-111i−i2i−2i−iiii−i−i1-1-220000−i3i3−i3−i3i3i300−331-1−ii−3−3332-200−2i2i00000000000000-1100i−i0000−i3i3−33000000
χ502-22-22-1−2i2i2i−2i-22-1-212-21−2i−2i2i2i-1-111i−i2i−2i−iiii−i−i1-1-220000−i3i3−i3−i3i3i300−331-1−ii−3−333-22002i−2i000000000000001-100−ii0000i3−i33−3000000
χ512-22-22-1−2i2i2i−2i-22-1-212-21−2i−2i2i2i-1-111i−i2i−2i−iiii−i−i1-1-220000i3−i3i3i3−i3−i3003−31-1−ii33−3−32-200−2i2i00000000000000-1100i−i0000i3−i33−3000000
χ522-22-22-1−2i2i2i−2i-22-1-212-21−2i−2i2i2i-1-111i−i2i−2i−iiii−i−i1-1-220000i3−i3i3i3−i3−i3003−31-1−ii33−3−3-22002i−2i000000000000001-100−ii0000−i3i3−33000000
χ532-22-2-122i−2i2i−2i2-221-2-11-2−i−iii-1-1112i−2i−ii2i−2i−i−iii2-2-1100−i3i300−i3i3−i3i33−300-11−ii3−33−3002-2002i−2i0000−i3−i3i3i333−3−3000000-11−ii0000000000
χ542-22-2-122i−2i2i−2i2-221-2-11-2−i−iii-1-1112i−2i−ii2i−2i−i−iii2-2-1100−i3i300−i3i3−i3i33−300-11−ii3−33−300-2200−2i2i0000i3i3−i3−i3−3−3330000001-1i−i0000000000
χ552-22-2-122i−2i2i−2i2-221-2-11-2−i−iii-1-1112i−2i−ii2i−2i−i−iii2-2-1100i3−i300i3−i3i3−i3−3300-11−ii−33−33002-2002i−2i0000i3i3−i3−i3−3−333000000-11−ii0000000000
χ562-22-2-122i−2i2i−2i2-221-2-11-2−i−iii-1-1112i−2i−ii2i−2i−i−iii2-2-1100i3−i300i3−i3i3−i3−3300-11−ii−33−3300-2200−2i2i0000−i3−i3i3i333−3−30000001-1i−i0000000000
χ572-22-2-12−2i2i−2i2i2-221-2-11-2ii−i−i-1-111−2i2ii−i−2i2iii−i−i2-2-1100−i3i300−i3i3−i3i3−3300-11i−i−33−33002-200−2i2i0000−i3−i3i3i3−3−333000000-11i−i0000000000
χ582-22-2-12−2i2i−2i2i2-221-2-11-2ii−i−i-1-111−2i2ii−i−2i2iii−i−i2-2-1100−i3i300−i3i3−i3i3−3300-11i−i−33−3300-22002i−2i0000i3i3−i3−i333−3−30000001-1−ii0000000000
χ592-22-2-12−2i2i−2i2i2-221-2-11-2ii−i−i-1-111−2i2ii−i−2i2iii−i−i2-2-1100i3−i300i3−i3i3−i33−300-11i−i3−33−3002-200−2i2i0000i3i3−i3−i333−3−3000000-11i−i0000000000
χ602-22-2-12−2i2i−2i2i2-221-2-11-2ii−i−i-1-111−2i2ii−i−2i2iii−i−i2-2-1100i3−i300i3−i3i3−i33−300-11i−i3−33−300-22002i−2i0000−i3−i3i3i3−3−3330000001-1−ii0000000000
χ6144444-244-4-4-4-4-24-244-24444-2-2-2-2-2-2-4-422-2-2-2-222-4-400000000000000222200000000000000000000000000000000000000000000
χ6244444-2-4-444-4-4-24-244-2-4-4-4-4-2-2-2-22244-2-2222222-4-40000000000000022-2-200000000000000000000000000000000000000000000
χ634444-2444-4-4-4-44-24-2-24-2-2-2-2-2-2-2-24422-4-4-2-2-2-2-4-42200000000000000222200000000000000000000000000000000000000000000
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χ664444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-4-42222-1-1-1-122221111-1-1-1-10000000000000000000000000000000000000000
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χ714444-2-2-4-4-4-444-2-2-2-2-2-222221111222222-1-1-1-1-2-2-2-24-4-2-2-2-21111222211-1-1-1-1-1-10000000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-222221111222222-1-1-1-1-2-2-2-2-442222-1-1-1-1-2-2-2-211-1-111110000000000000000000000000000000000000000
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χ7744-4-4-24000000-4-2422-42i3−2i32i3−2i3-222-20000002i3−2i32i3−2i30000000000000000000000000000000000−2i22i200i2−i2i2−i2−66−6600000000000000000000
χ7844-4-4-24000000-4-2422-42i3−2i32i3−2i3-222-20000002i3−2i32i3−2i300000000000000000000000000000000002i2−2i200−i2i2−i2i26−66−600000000000000000000
χ794-44-44-24i−4i4i−4i4-4-2-424-424i4i−4i−4i-2-222−2i2i4i−4i−2i2i−2i−2i2i2i-224-400000000000000-22−2i2i00000000000000000000000000000000000000000000
χ804-44-44-2−4i4i−4i4i4-4-2-424-42−4i−4i4i4i-2-2222i−2i−4i4i2i−2i2i2i−2i−2i-224-400000000000000-222i−2i00000000000000000000000000000000000000000000
χ814-44-4-244i−4i−4i4i-4442-4-22-4−2i−2i2i2i-2-2224i−4i2i−2i−4i4i−2i−2i2i2i-442-2000000000000002-22i−2i00000000000000000000000000000000000000000000
χ824-44-4-24−4i4i4i−4i-4442-4-22-42i2i−2i−2i-2-222−4i4i−2i2i4i−4i2i2i−2i−2i-442-2000000000000002-2−2i2i00000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-4-222-222−2i−2i2i2i11-1-1−2i2i−2i2i−2i2iii−i−i-22-2200−2i32i300i3−i3i3−i323−23001-1i−i−33−330000000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-4-222-222−2i−2i2i2i11-1-1−2i2i−2i2i−2i2iii−i−i-22-22002i3−2i300−i3i3−i3i3−2323001-1i−i3−33−30000000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-44-222-222−2i−2i2i2i11-1-1−2i2i2i−2i2i−2iii−i−i2-22-20000−2i32i3i3i3−i3−i30023−23-11−ii−3−3330000000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-44-222-222−2i−2i2i2i11-1-1−2i2i2i−2i2i−2iii−i−i2-22-200002i3−2i3−i3−i3i3i300−2323-11−ii33−3−30000000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-44-222-2222i2i−2i−2i11-1-12i−2i−2i2i−2i2i−i−iii2-22-20000−2i32i3i3i3−i3−i300−2323-11i−i33−3−30000000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-44-222-2222i2i−2i−2i11-1-12i−2i−2i2i−2i2i−i−iii2-22-200002i3−2i3−i3−i3i3i30023−23-11i−i−3−3330000000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-4-222-2222i2i−2i−2i11-1-12i−2i2i−2i2i−2i−i−iii-22-2200−2i32i300i3−i3i3−i3−2323001-1−ii3−33−30000000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-4-222-2222i2i−2i−2i11-1-12i−2i2i−2i2i−2i−i−iii-22-22002i3−2i300−i3i3−i3i323−23001-1−ii−33−330000000000000000000000000000000000000000
χ914-4-4444000000-4-4-4-44400004-44-4000000000000000000000000000000000000000000000022−22000022−22−222200000000000000000000
χ924-4-4444000000-4-4-4-44400004-44-40000000000000000000000000000000000000000000000−22220000−222222−2200000000000000000000
χ934-4-44-24000000-42-42-2423−23−2323-22-2200000023−23−232300000000000000000000000000000000000022−226−6−66−222−200000000000000000000
χ944-4-44-24000000-42-42-2423−23−2323-22-2200000023−23−2323000000000000000000000000000000000000−2222−666−62−2−2200000000000000000000
χ954-4-44-24000000-42-42-24−232323−23-22-22000000−232323−2300000000000000000000000000000000000022−22−666−6−222−200000000000000000000
χ964-4-44-24000000-42-42-24−232323−23-22-22000000−232323−23000000000000000000000000000000000000−22226−6−662−2−2200000000000000000000
χ9788-8-88-400000048-4-8-840000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000004-4-4444−4i34i3−4i34i32-2-220000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000004-4-44444i3−4i34i3−4i32-2-22000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000004-84-88-40000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000004444-4-443−43−43432-22-2000000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000004444-4-4−434343−432-22-200000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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