Finite Group Databasebeta

← Group #11873318

Character table — Group #11873318

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222334444446666661212121234444666121212121212121212121212121212121212121212121212121212121212121212128888242424242424242444448812121212121212122424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-111-111-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11-1-11
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-11-1-11
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-11111-1-111-111-1
χ9111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-11111-1-1-1-111-1-1-11-1-1111-1
χ10111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-11-11-1-111-1-111-1-1111-111-1-1-11
χ11111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-11-111-1-111-1-111-1-11-111-1-1-11
χ12111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-11-1-1-1-11111-1-111-11-1-1111-1
χ13111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-1-1111
χ14111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-11111-1-1-1
χ15111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-111111-1-1-1-1-1-111-11111-1-1-1
χ16111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-111-1-1-111-1-11111-1-11-1-1-1-1111
χ1722222222-2-2-2-2222222-2-2-2-22000022222-2-222-2-2-2-2-2-2-2-200000000-2-222000000000000000000000000000000000000002-200200-2
χ1822222222-2-2-2-2222222-2-2-2-22000022222-2-222-2-2-2-2-2-2-2-200000000-2-22200000000000000000000000000000000000000-2200-2002
χ19222222-2-222-2-2222222222220000222-2-222-2-22222-2-2-2-200000000-2-2-2-2000000000000000000000000000000000000002200-200-2
χ20222222-2-222-2-2222222222220000222-2-222-2-22222-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000-2-2002002
χ2122222-12222222-1-122-12222-12222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000020222-1-10000-1-1-1-1-1-100000000
χ2222222-12222222-1-122-12222-12222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000-20-2-2-211000011111100000000
χ2322222-12222222-1-122-12222-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-122-1-111-2-2-2-211-1-1-1-1111111110000000000000202-2-2-1-10000-1-1111100000000
χ2422222-12222222-1-122-12222-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-122-1-111-2-2-2-211-1-1-1-1111111110000000000000-20-22211000011-1-1-1-100000000
χ2522222-1-2-2-2-2222-1-122-1-2-2-2-2-122-2-2-1-1-11111-2-2111122-1-1-1-122-2-211-1-111-1-1-1-11111000000000000020-22-2-1-1000011-1-11100000000
χ2622222-1-2-2-2-2222-1-122-1-2-2-2-2-122-2-2-1-1-11111-2-2111122-1-1-1-122-2-211-1-111-1-1-1-111110000000000000-202-22110000-1-111-1-100000000
χ2722222-1-2-2-2-2222-1-122-1-2-2-2-2-1-2-222-1-1-11111-2-2111122-1-111-2-222-1-1-1-1111111-1-1-1-1000000000000020-2-22-1-100001111-1-100000000
χ2822222-1-2-2-2-2222-1-122-1-2-2-2-2-1-2-222-1-1-11111-2-2111122-1-111-2-222-1-1-1-1111111-1-1-1-10000000000000-2022-2110000-1-1-1-11100000000
χ292222-12222222-122-1-12-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-120200000-1-1-1-100000000000000
χ302222-12222222-122-1-12-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-20-200000111100000000000000
χ312222-12222222-122-1-12-1-1-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-122-2-21111-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-20-200000111100000000000000
χ322222-12222222-122-1-12-1-1-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-122-2-21111-2-2-1-1-1-111111111-2-2-2-21111111120200000-1-1-1-100000000000000
χ332222-12-2-2-2-222-122-1-121111-122-2-2-1-1-1-2-2-2-2111111-1-12222-1-111-2-2-1-111-1-1-1-1111122-2-2-1-1-1-1111120-200000-1-11100000000000000
χ342222-12-2-2-2-222-122-1-121111-122-2-2-1-1-1-2-2-2-2111111-1-12222-1-111-2-2-1-111-1-1-1-11111-2-2221111-1-1-1-1-2020000011-1-100000000000000
χ352222-12-2-2-2-222-122-1-121111-1-2-222-1-1-1-2-2-2-2111111-1-122-2-211-1-122-1-1111111-1-1-1-122-2-2-1-1-1-11111-2020000011-1-100000000000000
χ362222-12-2-2-2-222-122-1-121111-1-2-222-1-1-1-2-2-2-2111111-1-122-2-211-1-122-1-1111111-1-1-1-1-2-2221111-1-1-1-120-200000-1-11100000000000000
χ372-2-22222i−2i2i−2i2-2-2-2-22-222i2i−2i−2i20000-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000002-22i−2i00000000000000000000000000000000000000002i−2i02-20
χ382-2-22222i−2i2i−2i2-2-2-2-22-222i2i−2i−2i20000-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000002-22i−2i0000000000000000000000000000000000000000−2i2i0-220
χ392-2-22222i−2i−2i2i-22-2-2-22-22−2i−2i2i2i22i−2i2-2-22-22i−2i−2i2i2i−2i−2i−2i2i2i-22-222i−2i2i−2i2-22-2-222i−2i2i2i−2i−2i22-2-200000000000000000000000000000000000000
χ402-2-22222i−2i−2i2i-22-2-2-22-22−2i−2i2i2i2−2i2i-22-22-22i−2i−2i2i2i−2i−2i−2i2i2i-22-22−2i2i−2i2i-22-22-222i−2i−2i−2i2i2i-2-22200000000000000000000000000000000000000
χ412-2-2222−2i2i2i−2i-22-2-2-22-222i2i−2i−2i22i−2i-22-22-2−2i2i2i−2i−2i2i2i2i−2i−2i-22-222i−2i2i−2i-22-22-22−2i2i2i2i−2i−2i-2-22200000000000000000000000000000000000000
χ422-2-2222−2i2i2i−2i-22-2-2-22-222i2i−2i−2i2−2i2i2-2-22-2−2i2i2i−2i−2i2i2i2i−2i−2i-22-22−2i2i−2i2i2-22-2-22−2i2i−2i−2i2i2i22-2-200000000000000000000000000000000000000
χ432-2-2222−2i2i−2i2i2-2-2-2-22-22−2i−2i2i2i20000-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000002-2−2i2i00000000000000000000000000000000000000002i−2i0-220
χ442-2-2222−2i2i−2i2i2-2-2-2-22-22−2i−2i2i2i20000-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000002-2−2i2i0000000000000000000000000000000000000000−2i2i02-20
χ452-2-222-12i−2i−2i2i-22-2112-2-1−2i−2i2i2i-12i−2i2-21-11−iii−i2i−2iii−i−i-221-1−ii2i−2i2-2-111-1−ii−i−iii-1-1110000000000000000003−30000−i3i3−i3i33−300000000
χ462-2-222-12i−2i−2i2i-22-2112-2-1−2i−2i2i2i-12i−2i2-21-11−iii−i2i−2iii−i−i-221-1−ii2i−2i2-2-111-1−ii−i−iii-1-111000000000000000000−330000i3−i3i3−i3−3300000000
χ472-2-222-12i−2i−2i2i-22-2112-2-1−2i−2i2i2i-1−2i2i-221-11−iii−i2i−2iii−i−i-221-1i−i−2i2i-221-11-1−iiii−i−i11-1-10000000000000000003−30000−i3i3i3−i3−3300000000
χ482-2-222-12i−2i−2i2i-22-2112-2-1−2i−2i2i2i-1−2i2i-221-11−iii−i2i−2iii−i−i-221-1i−i−2i2i-221-11-1−iiii−i−i11-1-1000000000000000000−330000i3−i3−i3i33−300000000
χ492-2-222-1−2i2i2i−2i-22-2112-2-12i2i−2i−2i-12i−2i-221-11i−i−ii−2i2i−i−iii-221-1−ii2i−2i-221-11-1i−i−i−iii11-1-10000000000000000003−30000i3−i3−i3i3−3300000000
χ502-2-222-1−2i2i2i−2i-22-2112-2-12i2i−2i−2i-12i−2i-221-11i−i−ii−2i2i−i−iii-221-1−ii2i−2i-221-11-1i−i−i−iii11-1-1000000000000000000−330000−i3i3i3−i33−300000000
χ512-2-222-1−2i2i2i−2i-22-2112-2-12i2i−2i−2i-1−2i2i2-21-11i−i−ii−2i2i−i−iii-221-1i−i−2i2i2-2-111-1i−iii−i−i-1-1110000000000000000003−30000i3−i3i3−i33−300000000
χ522-2-222-1−2i2i2i−2i-22-2112-2-12i2i−2i−2i-1−2i2i2-21-11i−i−ii−2i2i−i−iii-221-1i−i−2i2i2-2-111-1i−iii−i−i-1-111000000000000000000−330000−i3i3−i3i3−3300000000
χ532-2-22-122i−2i−2i2i-221-2-2-112ii−i−i-12i−2i2-21-112i−2i−2i2i−iiii−i−i1-1-222i−2i−ii-112-21-1−ii−i−iii-1-1110000−i3−i3i3i333−3−3000000003−3−i3i300000000000000
χ542-2-22-122i−2i−2i2i-221-2-2-112ii−i−i-12i−2i2-21-112i−2i−2i2i−iiii−i−i1-1-222i−2i−ii-112-21-1−ii−i−iii-1-1110000i3i3−i3−i3−3−33300000000−33i3−i300000000000000
χ552-2-22-122i−2i−2i2i-221-2-2-112ii−i−i-1−2i2i-221-112i−2i−2i2i−iiii−i−i1-1-22−2i2ii−i1-1-221-1−iiii−i−i11-1-10000−i3−i3i3i333−3−300000000−33i3−i300000000000000
χ562-2-22-122i−2i−2i2i-221-2-2-112ii−i−i-1−2i2i-221-112i−2i−2i2i−iiii−i−i1-1-22−2i2ii−i1-1-221-1−iiii−i−i11-1-10000i3i3−i3−i3−3−333000000003−3−i3i300000000000000
χ572-2-22-12−2i2i2i−2i-221-2-2-112−i−iii-12i−2i-221-11−2i2i2i−2ii−i−i−iii1-1-222i−2i−ii1-1-221-1i−i−i−iii11-1-10000−i3−i3i3i3−3−333000000003−3i3−i300000000000000
χ582-2-22-12−2i2i2i−2i-221-2-2-112−i−iii-12i−2i-221-11−2i2i2i−2ii−i−i−iii1-1-222i−2i−ii1-1-221-1i−i−i−iii11-1-10000i3i3−i3−i333−3−300000000−33−i3i300000000000000
χ592-2-22-12−2i2i2i−2i-221-2-2-112−i−iii-1−2i2i2-21-11−2i2i2i−2ii−i−i−iii1-1-22−2i2ii−i-112-21-1i−iii−i−i-1-1110000−i3−i3i3i3−3−33300000000−33−i3i300000000000000
χ602-2-22-12−2i2i2i−2i-221-2-2-112−i−iii-1−2i2i2-21-11−2i2i2i−2ii−i−i−iii1-1-22−2i2ii−i-112-21-1i−iii−i−i-1-1110000i3i3−i3−i333−3−3000000003−3i3−i300000000000000
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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
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χ894-4-44-2-24i−4i4i−4i4-4222-22-2−2i−2i2i2i10000-11-1−2i2i−2i2i−2i2iii−i−i-22-22000000001-1i−i3i−3i−3i3i3-3-3300000000000000000000000000000000000000
χ904-4-44-2-24i−4i4i−4i4-4222-22-2−2i−2i2i2i10000-11-1−2i2i−2i2i−2i2iii−i−i-22-22000000001-1i−i−3i3i3i−3i-333-300000000000000000000000000000000000000
χ914-4-44-2-24i−4i−4i4i-44222-22-22i2i−2i−2i14i−4i4-4-11-1−2i2i2i−2i−2i2i−i−iii2-22-2−2i2i−2i2i-22-22-11i−iii−i−i11-1-100000000000000000000000000000000000000
χ924-4-44-2-24i−4i−4i4i-44222-22-22i2i−2i−2i1−4i4i-44-11-1−2i2i2i−2i−2i2i−i−iii2-22-22i−2i2i−2i2-22-2-11i−i−i−iii-1-11100000000000000000000000000000000000000
χ934-4-44-2-2−4i4i4i−4i-44222-22-2−2i−2i2i2i14i−4i-44-11-12i−2i−2i2i2i−2iii−i−i2-22-2−2i2i−2i2i2-22-2-11−iiii−i−i-1-11100000000000000000000000000000000000000
χ944-4-44-2-2−4i4i4i−4i-44222-22-2−2i−2i2i2i1−4i4i4-4-11-12i−2i−2i2i2i−2iii−i−i2-22-22i−2i2i−2i-22-22-11−ii−i−iii11-1-100000000000000000000000000000000000000
χ954-4-44-2-2−4i4i−4i4i4-4222-22-22i2i−2i−2i10000-11-12i−2i2i−2i2i−2i−i−iii-22-22000000001-1−ii3i−3i−3i3i-333-300000000000000000000000000000000000000
χ964-4-44-2-2−4i4i−4i4i4-4222-22-22i2i−2i−2i10000-11-12i−2i2i−2i2i−2i−i−iii-22-22000000001-1−ii−3i3i3i−3i3-3-3300000000000000000000000000000000000000
χ9788-8-88-4000000-8-44-8840000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000004-444-4443−4343−4320000-2-22000000−2323−232300000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000004-444-44−4343−434320000-2-2200000023−2323−2300000000000000000000000000000000000000000000000000000000000000
χ1008-88-88-400000084-4-8-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4000000-44-4444−4i34i34i3−4i3200002-2-20000002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4000000-44-44444i3−4i3−4i34i3200002-2-2000000−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000

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