Finite Group Databasebeta

← Group #11864358

Character table — Group #11864358

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order1222334466666622234446666666661212121212121212121212121212121222446666666661212121212121212222224666666666666881212121244824242424881212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111-11-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-111-1-111-11-11-1
χ61111111111111111-11-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-11-1-111-1-11-11-11
χ71111111111111111-11-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-11-111-1-1-1-1-111-11
χ81111111111111111-11-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-11-1-111111-1-11-1
χ911111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-11
χ1011111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1
χ1111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-111-111-1-1-11111-1-1111111-1-1-1-1-1-111111-1-1-1-111-1
χ1211111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-111-111-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-11
χ1311111111111111-1-1-11-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-1-1-111111111-1-11-1-111-1-1111-11-1-1
χ1411111111111111-1-1-11-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-1-1-11111-1-111-1-1-111-1-111-1-1-11-111
χ1511111111111111-1-1-11-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1111111-1-1-1-111-1-1111-1-111-1-1-1-11-1-111
χ1611111111111111-1-1-11-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1111111-1-1-1-1-1-1-1-111-111-1-11111-111-1-1
χ17222222-2-22222220022-200000022222-2-2-2-2-2-20000-2-2-2-2-2-222-2-200200002200-2-2000000-2002220000-2-2000000-2-22200000000000000
χ18222222-2-22222220022-200000022222-2-2-2-2-2-20000-2-2-2-2-2-2-2-22200200002200-2-2000000200-2-2-200002200000022-2-200000000000000
χ19222222-2-222222200-222000000-2-2222-2-2222200002222-2-222-2-200-20000-2-200-2-2000000200-222000022000000-2-2-2-200000000000000
χ20222222-2-222222200-222000000-2-2222-2-2222200002222-2-2-2-22200-20000-2-200-2-2000000-2002-2-20000-2-2000000222200000000000000
χ2122222-1222-1-122-1222-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-1-1-1-100000000000000
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χ2422222-1222-1-122-122-2-1-2-2-2-1-1-1-111-1-1-1-1-1-2-2111111111122-2-2-2-222-2-1-1-1-111-2-2-1-11111-2-22222111111-1-1-1-1-1-10011-1-100000000000000
χ2522222-1222-1-122-1-2-22-12-2-21111-1-1-1-1-1-1-122-1-11111-1-1-1-1222222-2-221111-1-1-2-2-1-11111-2-22-2-22-1-11111-1-1111100-1-1-1-100000000000000
χ2622222-1222-1-122-1-2-22-12-2-21111-1-1-1-1-1-1-122-1-11111-1-1-1-122-2-2-2-2-2-221111-1-1-2-2-1-1111122-222-211-1-1-1-111-1-1-1-100111100000000000000
χ2722222-1222-1-122-1-2-2-2-1-222111111-1-1-1-1-1-2-211-1-1-1-11111222222-2-2-211111122-1-1-1-1-1-1-2-2-222-2-1-1111111-1-1-1-100-1-11100000000000000
χ2822222-1222-1-122-1-2-2-2-1-222111111-1-1-1-1-1-2-211-1-1-1-1111122-2-2-2-2-2-2-211111122-1-1-1-1-1-1222-2-2211-1-1-1-1-1-111110011-1-100000000000000
χ2922222-1-2-22-1-122-1002-1-200−i3−i3i3i3-1-1-1-1-111-2-211−i3−i3i3i31111-2-222-2-2002−i3−i3i3i3-1-10011−i3−i3i3i300-2002-1-1−i3−i3i3i311−i3−i3i3i30011-1-100000000000000
χ3022222-1-2-22-1-122-1002-1-200−i3−i3i3i3-1-1-1-1-111-2-211−i3−i3i3i31111-2-2-2-222002−i3−i3i3i3-1-10011−i3−i3i3i300200-211i3i3−i3−i3-1-1i3i3−i3−i300-1-11100000000000000
χ3122222-1-2-22-1-122-1002-1-200i3i3−i3−i3-1-1-1-1-111-2-211i3i3−i3−i31111-2-222-2-2002i3i3−i3−i3-1-10011i3i3−i3−i300-2002-1-1i3i3−i3−i311i3i3−i3−i30011-1-100000000000000
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χ3322222-1-2-22-1-122-100-2-1200−i3−i3i3i311-1-1-11122-1-1i3i3−i3−i3-1-1-1-1-2-222-2-200-2−i3−i3i3i3110011i3i3−i3−i300200-2-1-1−i3−i3i3i3-1-1i3i3−i3−i300111100000000000000
χ3422222-1-2-22-1-122-100-2-1200−i3−i3i3i311-1-1-11122-1-1i3i3−i3−i3-1-1-1-1-2-2-2-22200-2−i3−i3i3i3110011i3i3−i3−i300-200211i3i3−i3−i311−i3−i3i3i300-1-1-1-100000000000000
χ3522222-1-2-22-1-122-100-2-1200i3i3−i3−i311-1-1-11122-1-1−i3−i3i3i3-1-1-1-1-2-222-2-200-2i3i3−i3−i3110011−i3−i3i3i300200-2-1-1i3i3−i3−i3-1-1−i3−i3i3i300111100000000000000
χ3622222-1-2-22-1-122-100-2-1200i3i3−i3−i311-1-1-11122-1-1−i3−i3i3i3-1-1-1-1-2-2-2-22200-2i3i3−i3−i3110011−i3−i3i3i300-200211−i3−i3i3i311i3i3−i3−i300-1-1-1-100000000000000
χ372222-1222-122-1-12222-1222222222-1-1-122-1-1222222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000220000222-1-1-1-100-1-1000
χ382222-1222-122-1-12222-1222222222-1-1-122-1-1222222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-20000-2-2-211110011000
χ392222-1222-122-1-1222-2-1-2-2-22222-2-2-1-1-12211-2-2-2-2-2-21111-1-10000-1-11-1-1-1-11111-1-11111000000000000000000220000-22-2-1-111001-1000
χ402222-1222-122-1-1222-2-1-2-2-22222-2-2-1-1-12211-2-2-2-2-2-21111-1-10000-1-11-1-1-1-11111-1-11111000000000000000000-2-200002-2211-1-100-11000
χ412222-1222-122-1-12-2-22-12-2-2-2-2-2-222-1-1-122-1-122-2-2-2-2-1-1-1-1-1-1000011-11111-1-111-1-11111000000000000000000220000-2-22-1-1-1-10011000
χ422222-1222-122-1-12-2-22-12-2-2-2-2-2-222-1-1-122-1-122-2-2-2-2-1-1-1-1-1-1000011-11111-1-111-1-11111000000000000000000-2-2000022-2111100-1-1000
χ432222-1222-122-1-12-2-2-2-1-222-2-2-2-2-2-2-1-1-12211-2-222221111-1-10000111111111-1-1-1-1-1-1-1-10000000000000000002200002-2-2-1-11100-11000
χ442222-1222-122-1-12-2-2-2-1-222-2-2-2-2-2-2-1-1-12211-2-222221111-1-10000111111111-1-1-1-1-1-1-1-1000000000000000000-2-20000-22211-1-1001-1000
χ452-2-22222-2-2-2-2-222000202-2000000-2-222-200002-22-200002-22-22-20000000002-22-22-22-20002-202-20000002-22-2002-20000000000000000
χ462-2-22222-2-2-2-2-222000202-2000000-2-222-200002-22-200002-2-22-220000000002-22-22-22-2000-220-22000000-22-2200-220000000000000000
χ472-2-22222-2-2-2-2-22200020-22000000-2-222-20000-22-2200002-22-22-2000000000-222-2-22-22000-2202-2000000-22-22002-20000000000000000
χ482-2-22222-2-2-2-2-22200020-22000000-2-222-20000-22-2200002-2-22-22000000000-222-2-22-220002-20-220000002-22-200-220000000000000000
χ492-2-2222-22-2-2-2-2222-2020002-22-200-2-22-22000000000000-222-2-222-202-22-20000-2200002-200002-22-22-200000000-220000000000000000
χ502-2-2222-22-2-2-2-2222-2020002-22-200-2-22-22000000000000-22-222-22-202-22-20000-220000-220000-22-22-22000000002-20000000000000000
χ512-2-2222-22-2-2-2-222-2202000-22-2200-2-22-22000000000000-222-2-22-220-22-220000-220000-2200002-2-22-2200000000-220000000000000000
χ522-2-2222-22-2-2-2-222-2202000-22-2200-2-22-22000000000000-22-222-2-220-22-220000-2200002-20000-222-22-2000000002-20000000000000000
χ532-2-222-12-2-211-22-1000-102-2−i3i3i3−i3−i3i311-1-1100−i3i3-11-11−i3−i3i3i32-22-22-2000−i3i3i3−i3−i3i32-2-11-11-110002-20-11−i3i3i3−i3−i3i3-11-1100-11−i3i300000000000000
χ542-2-222-12-2-211-22-1000-102-2−i3i3i3−i3−i3i311-1-1100−i3i3-11-11−i3−i3i3i32-2-22-22000−i3i3i3−i3−i3i32-2-11-11-11000-2201-1i3−i3−i3i3i3−i31-11-1001-1i3−i300000000000000
χ552-2-222-12-2-211-22-1000-102-2i3−i3−i3i3i3−i311-1-1100i3−i3-11-11i3i3−i3−i32-22-22-2000i3−i3−i3i3i3−i32-2-11-11-110002-20-11i3−i3−i3i3i3−i3-11-1100-11i3−i300000000000000
χ562-2-222-12-2-211-22-1000-102-2i3−i3−i3i3i3−i311-1-1100i3−i3-11-11i3i3−i3−i32-2-22-22000i3−i3−i3i3i3−i32-2-11-11-11000-2201-1−i3i3i3−i3−i3i31-11-1001-1−i3i300000000000000
χ572-2-222-12-2-211-22-1000-10-22−i3i3i3−i3i3−i311-1-1100i3−i31-11-1i3i3−i3−i32-22-22-2000−i3i3i3−i3i3−i3-22-111-11-1000-220-11−i3i3i3−i3i3−i31-11-100-11i3−i300000000000000
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χ602-2-222-12-2-211-22-1000-10-22i3−i3−i3i3−i3i311-1-1100−i3i31-11-1−i3−i3i3i32-2-22-22000i3−i3−i3i3−i3i3-22-111-11-10002-201-1−i3i3i3−i3i3−i3-11-11001-1i3−i300000000000000
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χ8044-4-44400-44-44-4-400040000000004-4-400000000000000000000000000000000000000000000000000000002i2−2i200000002i2−2i2000000000
χ8144-4-4-240024-4-22-4000-2000000000-2220023−2300000023−2323−2300000000000000000000000000000000000000000−2i22i20000000i2−i2i6−i60000000
χ8244-4-4-240024-4-22-4000-2000000000-2220023−2300000023−2323−23000000000000000000000000000000000000000002i2−2i20000000−i2i2−i6i60000000
χ8344-4-4-240024-4-22-4000-2000000000-22200−2323000000−2323−232300000000000000000000000000000000000000000−2i22i20000000i2−i2−i6i60000000
χ8444-4-4-240024-4-22-4000-2000000000-22200−2323000000−2323−2323000000000000000000000000000000000000000002i2−2i20000000−i2i2i6−i60000000
χ854-44-444004-44-4-4-40004000000000-44-400000000000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ864-44-444004-44-4-4-40004000000000-44-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ874-4-44-244-42-4-42-24000-204-400000022-24-400004-44-40000-220000000000000-22-22-22-2200000000000000000000000000000000000000
χ884-4-44-244-42-4-42-24000-20-4400000022-24-40000-44-440000-2200000000000002-2-222-22-200000000000000000000000000000000000000
χ894-4-44-24-442-4-42-244-40-20004-44-40022-2-440000000000002-20000-220-22-2200002-2000000000000000000000000000000000000000000
χ904-4-44-24-442-4-42-24-440-2000-44-440022-2-440000000000002-200002-202-22-200002-2000000000000000000000000000000000000000000
χ914-4-44-2-24-42222-2-2000104-4−2i32i32i3−2i3−2i32i3-1-11-2200−2i32i3-22-22i3i3−i3−i3-220000000i3−i3−i3i3i3−i3-221-11-11-100000000000000000000000000000000000000
χ924-4-44-2-24-42222-2-2000104-42i3−2i3−2i32i32i3−2i3-1-11-22002i3−2i3-22-22−i3−i3i3i3-220000000−i3i3i3−i3−i3i3-221-11-11-100000000000000000000000000000000000000
χ934-4-44-2-24-42222-2-200010-44−2i32i32i3−2i32i3−2i3-1-11-22002i3−2i32-22-2−i3−i3i3i3-220000000i3−i3−i3i3−i3i32-21-1-11-1100000000000000000000000000000000000000
χ944-4-44-2-24-42222-2-200010-442i3−2i3−2i32i3−2i32i3-1-11-2200−2i32i32-22-2i3i3−i3−i3-220000000−i3i3i3−i3i3−i32-21-1-11-1100000000000000000000000000000000000000
χ954-4-44-2-2-442222-2-24-401000-22-22−2i32i3-1-112-2002i3−2i3−2i32i32i3−2i3−i3−i3i3i32-20000-2201-11-1i3−i300-11i3−i3−i3i300000000000000000000000000000000000000
χ964-4-44-2-2-442222-2-24-401000-22-222i3−2i3-1-112-200−2i32i32i3−2i3−2i32i3i3i3−i3−i32-20000-2201-11-1−i3i300-11−i3i3i3−i300000000000000000000000000000000000000
χ974-4-44-2-2-442222-2-2-44010002-22-2−2i32i3-1-112-2002i3−2i32i3−2i3−2i32i3−i3−i3i3i32-200002-20-11-11i3−i300-11−i3i3i3−i300000000000000000000000000000000000000
χ984-4-44-2-2-442222-2-2-44010002-22-22i3−2i3-1-112-200−2i32i3−2i32i32i3−2i3i3i3−i3−i32-200002-20-11-11−i3i300-11i3−i3−i3i300000000000000000000000000000000000000
χ9988-8-88-400-8-448-84000-4000000000-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4004-44-44400020000000002-2-20043−43000000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4004-44-44400020000000002-2-200−434300000023−2323−230000000000000000000000000000000000000000000000000000000000000
χ1028-88-88-40084-4-8-84000-40000000004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4800-4-8844-8000-40000000004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-400-44-44440002000000000-22-200000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-400-44-44440002000000000-22-20000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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