Finite Group Databasebeta

← Group #11870371

Character table — Group #11870371

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222223344446666666666344446666666661212121212121212121212121212121212121212121212121212121288882424242424242424244466881212121212122424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-1
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111-1-111
χ91111-1-111-1-111-1-1-1-1111111111-1-1-1-11-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1111-1-1-111-1-111-1-11-1111-1-1-1
χ101111-1-111-1-111-1-1-1-1111111111-1-1-1-11-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-111-11-1-1-1111
χ111111-1-111-1-111-1-1-1-1111111111-1-1-1-11-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-11111-1-1-11-1-1-1111
χ121111-1-111-1-111-1-1-1-1111111111-1-1-1-11-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-1111-1-111-1-1111-1111-1-1-1
χ131111-1-111-1-111-1-1-1-11111111-1-111-1-11-1-1-1-1111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1111-11-1-1-1-111-1-111-1111-11-1-1
χ141111-1-111-1-111-1-1-1-11111111-1-111-1-11-1-1-1-1111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-11-1-11-111-1-11111-1-11-1-1-11-111
χ151111-1-111-1-111-1-1-1-11111111-1-111-1-11-1-1-1-1111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111111-11-111-11-1-111-1-1-1-1111-1-1-11-111
χ161111-1-111-1-111-1-1-1-11111111-1-111-1-11-1-1-1-1111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-11-11111-1-111-1-1-1111-11-1-1
χ1722222222-2-2-2-2222222222220000222222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000000000002-200-2200
χ1822222222-2-2-2-2222222222220000222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000-22002-200
χ192222222-122222222-122-1-12-12222-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-122-1-10000-1-1-1-100000000
χ202222222-122222222-122-1-12-12222-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-20011-2-2110000111100000000
χ212222222-122222222-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-211-2-211-1-1-1-1111111110000000000002200-1-1-2-2-1-10000111100000000
χ222222222-122222222-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-211-2-211-1-1-1-111111111000000000000-2-2001122110000-1-1-1-100000000
χ23222222-122222-1-1-1-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000000-1-1-1-1000000000000
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χ25222222-122222-1-1-1-12-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1222-1211-2-211-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-100-2-20000001111000000000000
χ26222222-122222-1-1-1-12-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1222-1211-2-211-2-2-1-1-1-111111111-2-2-2-2111111110022000000-1-1-1-1000000000000
χ272222-2-22222-2-2-2-2-2-222222220000-2-22-2-2-2-222-222-222-2-200000000-2-222000000000000000000000000000000000000002200-2-200
χ282222-2-22222-2-2-2-2-2-222222220000-2-22-2-2-2-222-222-222-2-200000000-2-22200000000000000000000000000000000000000-2-2002200
χ292222-2-22-1-2-222-2-2-2-2-122-1-12-122-2-211-11111-1-12-2-2-1112-122-1-1-2-211-1-111-1-1-1-111110000000000002-200-1-12-2110000-1-11100000000
χ302222-2-22-1-2-222-2-2-2-2-122-1-12-122-2-211-11111-1-12-2-2-1112-122-1-1-2-211-1-111-1-1-1-11111000000000000-220011-22-1-1000011-1-100000000
χ312222-2-22-1-2-222-2-2-2-2-122-1-12-1-2-22211-11111-1-12-2-2-1112-1-2-21122-1-1-1-1111111-1-1-1-10000000000002-200-1-1-2211000011-1-100000000
χ322222-2-22-1-2-222-2-2-2-2-122-1-12-1-2-22211-11111-1-12-2-2-1112-1-2-21122-1-1-1-1111111-1-1-1-1000000000000-2200112-2-1-10000-1-11100000000
χ332222-2-2-12-2-22211112-1-122-1-122-2-2-2-2-11111-1-1-1112-2-2-12-1-12211-2-2-1-111-1-1-1-1111122-2-2-1-1-1-11111002-2000000-1-111000000000000
χ342222-2-2-12-2-22211112-1-122-1-122-2-2-2-2-11111-1-1-1112-2-2-12-1-12211-2-2-1-111-1-1-1-11111-2-2221111-1-1-1-100-2200000011-1-1000000000000
χ352222-2-2-12-2-22211112-1-122-1-1-2-222-2-2-11111-1-1-1112-2-2-1211-2-2-1-122-1-1111111-1-1-1-122-2-2-1-1-1-1111100-2200000011-1-1000000000000
χ362222-2-2-12-2-22211112-1-122-1-1-2-222-2-2-11111-1-1-1112-2-2-1211-2-2-1-122-1-1111111-1-1-1-1-2-2221111-1-1-1-1002-2000000-1-111000000000000
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χ382-22-22-2222-22-222-2-2-22-2-22-2200002-2-222-2-22-222-2-22-2-22000000002-22-20000000000000000000000000000000000000000−2i2i00−2i2i
χ392-22-22-222-22-2222-2-2-22-2-22-222i−2i2i−2i2-2-222-2-22-2-2-222-222-22i−2i2i−2i2i−2i2i−2i-22-222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ402-22-22-222-22-2222-2-2-22-2-22-22−2i2i−2i2i2-2-222-2-22-2-2-222-222-2−2i2i−2i2i−2i2i−2i2i-22-22−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ412-22-22-22-1-22-2222-2-212-21-1-2-12i−2i2i−2i-111-1-111-11-2-22-11-1212i−2i−ii2i−2i−ii1-11-1−i−iii−i−iii0000000000000000−i3i300−i3i300003−33−300000000
χ422-22-22-22-1-22-2222-2-212-21-1-2-12i−2i2i−2i-111-1-111-11-2-22-11-1212i−2i−ii2i−2i−ii1-11-1−i−iii−i−iii0000000000000000i3−i300i3−i30000−33−3300000000
χ432-22-22-22-1-22-2222-2-212-21-1-2-1−2i2i−2i2i-111-1-111-11-2-22-11-121−2i2ii−i−2i2ii−i1-11-1ii−i−iii−i−i0000000000000000−i3i300−i3i30000−33−3300000000
χ442-22-22-22-1-22-2222-2-212-21-1-2-1−2i2i−2i2i-111-1-111-11-2-22-11-121−2i2ii−i−2i2ii−i1-11-1ii−i−iii−i−i0000000000000000i3−i300i3−i300003−33−300000000
χ452-22-22-2-12-22-22-1-111-2-11-221-12i−2i2i−2i2-21-1-111-1111-12-22-1-2−ii2i−2i−ii2i−2i1-11-1−i−iii−i−iii0000−i3−i3i3i3−i3−i3i3i300000000003−33−3000000000000
χ462-22-22-2-12-22-22-1-111-2-11-221-12i−2i2i−2i2-21-1-111-1111-12-22-1-2−ii2i−2i−ii2i−2i1-11-1−i−iii−i−iii0000i3i3−i3−i3i3i3−i3−i30000000000−33−33000000000000
χ472-22-22-2-12-22-22-1-111-2-11-221-1−2i2i−2i2i2-21-1-111-1111-12-22-1-2i−i−2i2ii−i−2i2i1-11-1ii−i−iii−i−i0000−i3−i3i3i3−i3−i3i3i30000000000−33−33000000000000
χ482-22-22-2-12-22-22-1-111-2-11-221-1−2i2i−2i2i2-21-1-111-1111-12-22-1-2i−i−2i2ii−i−2i2i1-11-1ii−i−iii−i−i0000i3i3−i3−i3i3i3−i3−i300000000003−33−3000000000000
χ492-22-2-22222-2-22-2-222-22-2-22-222i−2i−2i2i-22-2-2-2222-2-22-222-22-22i−2i2i−2i−2i2i−2i2i-222-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ502-22-2-22222-2-22-2-222-22-2-22-22−2i2i2i−2i-22-2-2-2222-2-22-222-22-2−2i2i−2i2i2i−2i2i−2i-222-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ512-22-2-2222-222-2-2-222-22-2-22-220000-22-2-2-2222-22-22-2-22-22000000002-2-2200000000000000000000000000000000000000002i−2i00−2i2i
χ522-22-2-2222-222-2-2-222-22-2-22-220000-22-2-2-2222-22-22-2-22-22000000002-2-220000000000000000000000000000000000000000−2i2i002i−2i
χ532-22-2-222-12-2-22-2-22212-21-1-2-12i−2i−2i2i1-1111-1-1-11-22-2-1-11212i−2i−ii−2i2ii−i1-1-11−i−iiiii−i−i0000000000000000−i3i300i3−i300003−3−3300000000
χ542-22-2-222-12-2-22-2-22212-21-1-2-12i−2i−2i2i1-1111-1-1-11-22-2-1-11212i−2i−ii−2i2ii−i1-1-11−i−iiiii−i−i0000000000000000i3−i300−i3i30000−333−300000000
χ552-22-2-222-12-2-22-2-22212-21-1-2-1−2i2i2i−2i1-1111-1-1-11-22-2-1-1121−2i2ii−i2i−2i−ii1-1-11ii−i−i−i−iii0000000000000000−i3i300i3−i30000−333−300000000
χ562-22-2-222-12-2-22-2-22212-21-1-2-1−2i2i2i−2i1-1111-1-1-11-22-2-1-1121−2i2ii−i2i−2i−ii1-1-11ii−i−i−i−iii0000000000000000i3−i300−i3i300003−3−3300000000
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χ582-22-2-22-122-2-2211-1-1-2-11-221-12i−2i−2i2i-22111-1-1-111-1122-2-1-2−ii2i−2ii−i−2i2i1-1-11−i−iiiii−i−i0000i3i3−i3−i3−i3−i3i3i30000000000−333−3000000000000
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χ924-4-440044000000004-4-4-4-44400000040000-4-400000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000000000
χ934-4-4400-240000−2i32i32i3−2i3422-4-4-2-2000000-2−2i32i32i3−2i3220000000000000000000000000000−2i22i200i2−i2−i2i26−6−6600000000000000000000000000
χ944-4-4400-240000−2i32i32i3−2i3422-4-4-2-2000000-2−2i32i32i3−2i32200000000000000000000000000002i2−2i200−i2i2i2−i2−666−600000000000000000000000000
χ954-4-4400-2400002i3−2i3−2i32i3422-4-4-2-2000000-22i3−2i3−2i32i3220000000000000000000000000000−2i22i200i2−i2−i2i2−666−600000000000000000000000000
χ964-4-4400-2400002i3−2i3−2i32i3422-4-4-2-2000000-22i3−2i3−2i32i32200000000000000000000000000002i2−2i200−i2i2i2−i26−6−6600000000000000000000000000
χ9788-8-8008-4000000004-88-44-8-4000000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3−4i34i344-4-4442000000-22i3−2i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i34i3−4i344-4-4442000000-2−2i32i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400000000-4-8-8448-4000000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i34i3−4i3-44444-4200000022i3−2i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i3−4i34i3-44444-420000002−2i32i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000

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