Finite Group Databasebeta

← Group #11872958

Character table — Group #11872958

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12223344444466666612121212344446661212121212121212121212121212121212121212121212121212121212121212121288882424242424242424244466881212121212122424242422244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-111-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-11
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1111-1-11
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1111111-1-1-111-1
χ9111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1111-111-1-1-1-111-1-1-1-1-11-1111
χ10111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1111-1-111-1-111111-11-1-1-1
χ11111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-11-1111-1-1-111-1-111-1-1111-11-1-1-1
χ12111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11-1-11111-1-111-1-1-11-1111
χ13111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-11-11-111-11-1-111-1-1-1-111-1-11-1111-1
χ14111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-11-1-1-1111111-1-111-11-1-1-11
χ15111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1111-1-1-1-1-1-11111-11-1-1-11
χ16111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-11-11-1-11-111-1-11111-1-1-1-11-1111-1
χ1722222222-2-2-2-222222222222000022222-2-2-2-22222-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000002-2-2002
χ1822222222-2-2-2-222222222222000022222-2-2-2-22222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000-22200-2
χ19222222-2-222-2-2222222-2-2-2-220000222-2-22222-2-2-2-2-2-2-2-200000000-2-222000000000000000000000000000000000000000022-200-2
χ20222222-2-222-2-2222222-2-2-2-220000222-2-22222-2-2-2-2-2-2-2-200000000-2-2220000000000000000000000000000000000000000-2-22002
χ2122222-12222222-1-122-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002002-1-1220000-1-1-1-1-1-100000000
χ2222222-12222222-1-122-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-211-2-2000011111100000000
χ2322222-12222222-1-122-12222-1-2-2-2-2-1-1-1-1-122-1-1-1-1-1-1-1-12211-2-2-2-211-1-1-1-1111111110000000000002002-1-1-2-20000-1-1111100000000
χ2422222-12222222-1-122-12222-1-2-2-2-2-1-1-1-1-122-1-1-1-1-1-1-1-12211-2-2-2-211-1-1-1-111111111000000000000-200-21122000011-1-1-1-100000000
χ2522222-1-2-2-2-2222-1-122-1-2-2-2-2-122-2-2-1-1-111-2-2111111-1-122-1-122-2-211-1-111-1-1-1-11111000000000000200-2-1-12-2000011-1-11100000000
χ2622222-1-2-2-2-2222-1-122-1-2-2-2-2-122-2-2-1-1-111-2-2111111-1-122-1-122-2-211-1-111-1-1-1-11111000000000000-200211-220000-1-111-1-100000000
χ2722222-1-2-2-2-2222-1-122-1-2-2-2-2-1-2-222-1-1-111-2-2111111-1-12211-2-222-1-1-1-1111111-1-1-1-1000000000000200-2-1-1-2200001111-1-100000000
χ2822222-1-2-2-2-2222-1-122-1-2-2-2-2-1-2-222-1-1-111-2-2111111-1-12211-2-222-1-1-1-1111111-1-1-1-1000000000000-2002112-20000-1-1-1-11100000000
χ292222-12222222-122-1-12-1-1-1-1-12222-1-1-122-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-102200000-1-1-1-100000000000000
χ302222-12222222-122-1-12-1-1-1-1-12222-1-1-122-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-200000111100000000000000
χ312222-12222222-122-1-12-1-1-1-1-1-2-2-2-2-1-1-122-1-122-1-1-1-122-1-1-2-21111-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-10-2-200000111100000000000000
χ322222-12222222-122-1-12-1-1-1-1-1-2-2-2-2-1-1-122-1-122-1-1-1-122-1-1-2-21111-2-2-1-1-1-111111111-2-2-2-21111111102200000-1-1-1-100000000000000
χ332222-12-2-2-2-222-122-1-121111-122-2-2-1-1-1-2-211-2-2111122-1-122-1-111-2-2-1-111-1-1-1-1111122-2-2-1-1-1-1111102-200000-1-11100000000000000
χ342222-12-2-2-2-222-122-1-121111-122-2-2-1-1-1-2-211-2-2111122-1-122-1-111-2-2-1-111-1-1-1-11111-2-2221111-1-1-1-10-220000011-1-100000000000000
χ352222-12-2-2-2-222-122-1-121111-1-2-222-1-1-1-2-211-2-2111122-1-1-2-211-1-122-1-1111111-1-1-1-122-2-2-1-1-1-111110-220000011-1-100000000000000
χ362222-12-2-2-2-222-122-1-121111-1-2-222-1-1-1-2-211-2-2111122-1-1-2-211-1-122-1-1111111-1-1-1-1-2-2221111-1-1-1-102-200000-1-11100000000000000
χ372-22-2222i−2i2i−2i2-2-2-222-2-22i2i−2i−2i20000-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000002-22i−2i000000000000000000000000000000000000002-20002i−2i0
χ382-22-2222i−2i2i−2i2-2-2-222-2-22i2i−2i−2i20000-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000002-22i−2i00000000000000000000000000000000000000-22000−2i2i0
χ392-22-2222i−2i−2i2i-22-2-222-2-22i2i−2i−2i22-22i−2i-22-22i−2i−2i2i−2i2i2i2i−2i−2i-22-222-22-22i−2i2i−2i-22−2i2i22-2-22i2i−2i−2i00000000000000000000000000000000000000
χ402-22-2222i−2i−2i2i-22-2-222-2-22i2i−2i−2i2-22−2i2i-22-22i−2i−2i2i−2i2i2i2i−2i−2i-22-22-22-22−2i2i−2i2i-22−2i2i-2-222−2i−2i2i2i00000000000000000000000000000000000000
χ412-22-222−2i2i2i−2i-22-2-222-2-2−2i−2i2i2i22-2−2i2i-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-222-22-2−2i2i−2i2i-222i−2i22-2-2−2i−2i2i2i00000000000000000000000000000000000000
χ422-22-222−2i2i2i−2i-22-2-222-2-2−2i−2i2i2i2-222i−2i-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-22-222i−2i2i−2i-222i−2i-2-2222i2i−2i−2i00000000000000000000000000000000000000
χ432-22-222−2i2i−2i2i2-2-2-222-2-2−2i−2i2i2i20000-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000002-2−2i2i000000000000000000000000000000000000002-2000−2i2i0
χ442-22-222−2i2i−2i2i2-2-2-222-2-2−2i−2i2i2i20000-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000002-2−2i2i00000000000000000000000000000000000000-220002i−2i0
χ452-22-22-12i−2i−2i2i-22-21-12-212i2i−2i−2i-12-22i−2i1-11−ii−2i2ii−i−i−iii1-1-22-112-22i−2i−ii1-1i−i-1-111−i−iii0000000000000000−i3i30000003−3−i3i33−300000000
χ462-22-22-12i−2i−2i2i-22-21-12-212i2i−2i−2i-12-22i−2i1-11−ii−2i2ii−i−i−iii1-1-22-112-22i−2i−ii1-1i−i-1-111−i−iii0000000000000000i3−i3000000−33i3−i3−3300000000
χ472-22-22-12i−2i−2i2i-22-21-12-212i2i−2i−2i-1-22−2i2i1-11−ii−2i2ii−i−i−iii1-1-221-1-22−2i2ii−i1-1i−i11-1-1ii−i−i0000000000000000−i3i30000003−3i3−i3−3300000000
χ482-22-22-12i−2i−2i2i-22-21-12-212i2i−2i−2i-1-22−2i2i1-11−ii−2i2ii−i−i−iii1-1-221-1-22−2i2ii−i1-1i−i11-1-1ii−i−i0000000000000000i3−i3000000−33−i3i33−300000000
χ492-22-22-1−2i2i2i−2i-22-21-12-21−2i−2i2i2i-12-2−2i2i1-11i−i2i−2i−iiii−i−i1-1-22-112-2−2i2ii−i1-1−ii-1-111ii−i−i0000000000000000−i3i3000000−33−i3i3−3300000000
χ502-22-22-1−2i2i2i−2i-22-21-12-21−2i−2i2i2i-12-2−2i2i1-11i−i2i−2i−iiii−i−i1-1-22-112-2−2i2ii−i1-1−ii-1-111ii−i−i0000000000000000i3−i30000003−3i3−i33−300000000
χ512-22-22-1−2i2i2i−2i-22-21-12-21−2i−2i2i2i-1-222i−2i1-11i−i2i−2i−iiii−i−i1-1-221-1-222i−2i−ii1-1−ii11-1-1−i−iii0000000000000000−i3i3000000−33i3−i33−300000000
χ522-22-22-1−2i2i2i−2i-22-21-12-21−2i−2i2i2i-1-222i−2i1-11i−i2i−2i−iiii−i−i1-1-221-1-222i−2i−ii1-1−ii11-1-1−i−iii0000000000000000i3−i30000003−3−i3i3−3300000000
χ532-22-2-122i−2i−2i2i-221-22-11-2−i−iii-12-22i−2i1-112i−2ii−i−2i2i−i−iii-221-12-2-11−ii2i−2i1-1i−i-1-111−i−iii0000−i3−i3i3i333−3−300000000−i3i33−300000000000000
χ542-22-2-122i−2i−2i2i-221-22-11-2−i−iii-12-22i−2i1-112i−2ii−i−2i2i−i−iii-221-12-2-11−ii2i−2i1-1i−i-1-111−i−iii0000i3i3−i3−i3−3−33300000000i3−i3−3300000000000000
χ552-22-2-122i−2i−2i2i-221-22-11-2−i−iii-1-22−2i2i1-112i−2ii−i−2i2i−i−iii-221-1-221-1i−i−2i2i1-1i−i11-1-1ii−i−i0000−i3−i3i3i333−3−300000000i3−i3−3300000000000000
χ562-22-2-122i−2i−2i2i-221-22-11-2−i−iii-1-22−2i2i1-112i−2ii−i−2i2i−i−iii-221-1-221-1i−i−2i2i1-1i−i11-1-1ii−i−i0000i3i3−i3−i3−3−33300000000−i3i33−300000000000000
χ572-22-2-12−2i2i2i−2i-221-22-11-2ii−i−i-12-2−2i2i1-11−2i2i−ii2i−2iii−i−i-221-12-2-11i−i−2i2i1-1−ii-1-111ii−i−i0000−i3−i3i3i3−3−33300000000−i3i3−3300000000000000
χ582-22-2-12−2i2i2i−2i-221-22-11-2ii−i−i-12-2−2i2i1-11−2i2i−ii2i−2iii−i−i-221-12-2-11i−i−2i2i1-1−ii-1-111ii−i−i0000i3i3−i3−i333−3−300000000i3−i33−300000000000000
χ592-22-2-12−2i2i2i−2i-221-22-11-2ii−i−i-1-222i−2i1-11−2i2i−ii2i−2iii−i−i-221-1-221-1−ii2i−2i1-1−ii11-1-1−i−iii0000−i3−i3i3i3−3−33300000000i3−i33−300000000000000
χ602-22-2-12−2i2i2i−2i-221-22-11-2ii−i−i-1-222i−2i1-11−2i2i−ii2i−2iii−i−i-221-1-221-1−ii2i−2i1-1−ii11-1-1−i−iii0000i3i3−i3−i333−3−300000000−i3i3−3300000000000000
χ6144444-244-4-4-4-44-2-244-24444-20000-2-2-2-2-2-4-422-2-2-2-222-4-40000000022220000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-44-2-244-2-4-4-4-4-20000-2-2-22244-2-2222222-4-40000000022-2-20000000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-244-2-24-2-2-2-2-20000-2-2-24422-4-4-2-2-2-2-4-4220000000022220000000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-244-2-242222-20000-2-2-2-4-4-2-2442222-4-4220000000022-2-20000000000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-2-2-2-2-214444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-2-2-2-2-21-4-4-4-4111-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-210000111-2-222221111222200000000-1-1-1-13-33-33-33-300000000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-210000111-2-222221111222200000000-1-1-1-1-33-33-33-3300000000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-222221000011122-2-2-2-2-1-1-1-1222200000000-1-1113-33-3-33-3300000000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-222221000011122-2-2-2-2-1-1-1-1222200000000-1-111-33-333-33-300000000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-22222144-4-4111222222-1-1-1-1-2-2-2-2-2-2-2-2222211-1-11111-1-1-1-100000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-222221-4-444111222222-1-1-1-1-2-2-2-22222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000
χ7344-4-44400000044-4-4-4-40000400004-4-400000000000000000000000000000000000022−22000022−2222−2200000000000000000000000000
χ7444-4-44400000044-4-4-4-40000400004-4-4000000000000000000000000000000000000−22220000−2222−222200000000000000000000000000
χ7544-4-4-24000000-24-422-4−2i32i3−2i32i3-20000-222000000−2i32i3−2i32i30000000000000000000000000022−22i6−i6i6−i6−22−2200000000000000000000000000
χ7644-4-4-24000000-24-422-4−2i32i3−2i32i3-20000-222000000−2i32i3−2i32i300000000000000000000000000−2222−i6i6−i6i62−22−200000000000000000000000000
χ7744-4-4-24000000-24-422-42i3−2i32i3−2i3-20000-2220000002i3−2i32i3−2i30000000000000000000000000022−22−i6i6−i6i6−22−2200000000000000000000000000
χ7844-4-4-24000000-24-422-42i3−2i32i3−2i3-20000-2220000002i3−2i32i3−2i300000000000000000000000000−2222i6−i6i6−i62−22−200000000000000000000000000
χ794-44-44-24i−4i4i−4i4-4-42-24-424i4i−4i−4i-200002-22−2i2i4i−4i−2i2i−2i−2i2i2i-224-400000000-22−2i2i0000000000000000000000000000000000000000000000
χ804-44-44-2−4i4i−4i4i4-4-42-24-42−4i−4i4i4i-200002-222i−2i−4i4i2i−2i2i2i−2i−2i-224-400000000-222i−2i0000000000000000000000000000000000000000000000
χ814-44-4-244i−4i4i−4i4-42-44-22-4−2i−2i2i2i-200002-224i−4i−2i2i4i−4i−2i−2i2i2i4-4-2200000000-22−2i2i0000000000000000000000000000000000000000000000
χ824-44-4-24−4i4i−4i4i4-42-44-22-42i2i−2i−2i-200002-22−4i4i2i−2i−4i4i2i2i−2i−2i4-4-2200000000-222i−2i0000000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-422-2-222−2i−2i2i2i10000-11-1−2i2i−2i2i−2i2iii−i−i-22-22000000001-1i−i3-3-333i−3i−3i3i00000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-422-2-222−2i−2i2i2i10000-11-1−2i2i−2i2i−2i2iii−i−i-22-22000000001-1i−i-333-3−3i3i3i−3i00000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-4422-2-222−2i−2i2i2i14-44i−4i-11-1−2i2i2i−2i2i−2iii−i−i2-22-2-22-22−2i2i−2i2i-11−ii11-1-1ii−i−i00000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-4422-2-222−2i−2i2i2i1-44−4i4i-11-1−2i2i2i−2i2i−2iii−i−i2-22-22-22-22i−2i2i−2i-11−ii-1-111−i−iii00000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-4422-2-2222i2i−2i−2i14-4−4i4i-11-12i−2i−2i2i−2i2i−i−iii2-22-2-22-222i−2i2i−2i-11i−i11-1-1−i−iii00000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-4422-2-2222i2i−2i−2i1-444i−4i-11-12i−2i−2i2i−2i2i−i−iii2-22-22-22-2−2i2i−2i2i-11i−i-1-111ii−i−i00000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-422-2-2222i2i−2i−2i10000-11-12i−2i2i−2i2i−2i−i−iii-22-22000000001-1−ii3-3-33−3i3i3i−3i00000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-422-2-2222i2i−2i−2i10000-11-12i−2i2i−2i2i−2i−i−iii-22-22000000001-1−ii-333-33i−3i−3i3i00000000000000000000000000000000000000
χ914-4-4444000000-4-4-4-444000040000-4-44000000000000000000000000000000000022−220022−22−2222000000000000000000000000000000
χ924-4-4444000000-4-4-4-444000040000-4-440000000000000000000000000000000000−222200−222222−22000000000000000000000000000000
χ934-4-44-240000002-4-42-2423−23−2323-2000022-200000023−23−232300000000000000000000000022−2200−222−2−666−600000000000000000000000000
χ944-4-44-240000002-4-42-2423−23−2323-2000022-200000023−23−2323000000000000000000000000−2222002−2−226−6−6600000000000000000000000000
χ954-4-44-240000002-4-42-24−232323−23-2000022-2000000−232323−2300000000000000000000000022−2200−222−26−6−6600000000000000000000000000
χ964-4-44-240000002-4-42-24−232323−23-2000022-2000000−232323−23000000000000000000000000−2222002−2−22−666−600000000000000000000000000
χ9788-8-88-40000008-44-8-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4000000-4-44444−4i34i3−4i34i3200002-2-20000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4000000-4-444444i3−4i34i3−4i3200002-2-2000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-4000000-844-88-40000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000004444-4-443−43−434320000-2-22000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000004444-4-4−434343−4320000-2-2200000023−23−232300000000000000000000000000000000000000000000000000000000000000

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