Finite Group Databasebeta

← Group #11864591

Character table — Group #11864591

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order1222334466666622222346666666666666666666121212121212224466666666666612121212122224446666666688121212121212121244824242424881212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1
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
χ51111111111111111-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-111111111-1-11111-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-11-111-1-1111-1-11-1
χ61111111111111111-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-111111111-1-11111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-11-1-111-1-1-111-11
χ71111111111111111-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-11-111-1-1-1-11-11-11
χ81111111111111111-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111-11-1-11111-11-11-1
χ911111111111111-1-111-11-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1111111-1-111-1-1-1-11111-111-1-1-1-1-111-111-1-1-1-1-1-111111111-1-11-1-111-1-111-111-1-1
χ1011111111111111-1-111-11-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1111111-1-111-1-1-1-11111-111-1-1-1-1-111-111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-11-1-111
χ1111111111111111-1-111-11-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-11-1-111111111-1-1-1-1-1-1111-1-111-1-1-1-1-11-111
χ1211111111111111-1-111-11-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111-111-1-111111-11-1-1
χ1311111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-11111111-1-1-1-11
χ1411111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11111-1
χ1511111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-11111-1-111-1-11111-1-1-1-111111-1-1-1-111-1
χ1611111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-11
χ17222222-2-2222222000022-22200000000222222222-2-2-2-2-2-222-2-2000000000000-2-2-2-2-200-2002220000-2-200-2-200002200000000000000
χ18222222-2-2222222000022-22200000000222222222-2-2-2-2-2-2-2-222000000000000-2-2-2-2-200200-2-2-200002200220000-2-200000000000000
χ19222222-2-22222220000-222-2-200000000-2-222-2-2-2-22-2-222-2-222-2-20000000000002-2-22200200-22200002200-2-20000-2-200000000000000
χ20222222-2-22222220000-222-2-200000000-2-222-2-2-2-22-2-222-2-2-2-2220000000000002-2-22200-2002-2-20000-2-2002200002200000000000000
χ2122222-1222-1-122-122222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-100000000000000
χ2222222-1222-1-122-122222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-211111111001111111100000000000000
χ2322222-1222-1-122-122-2-2-2-1-2-2-2-1-1-1-1111111-1-11111-1-1-11122222222-2-2-1-1-1-11111-2-1-11122-2-2-2-2-1-1-1-1-1-11100-1-111111100000000000000
χ2422222-1222-1-122-122-2-2-2-1-2-2-2-1-1-1-1111111-1-11111-1-1-11122-2-2-2-222-2-2-1-1-1-11111-2-1-111-2-22222111111-1-10011-1-1-1-1-1-100000000000000
χ2522222-1222-1-122-1-2-222-2-1-2-2-21111-1-1-1-111-1-11111-1-1-111222222-2-2221111-1-1-1-1-2-1-111-2-2-222-2-1-111111100-1-1-1-1-1-11100000000000000
χ2622222-1222-1-122-1-2-222-2-1-2-2-21111-1-1-1-111-1-11111-1-1-11122-2-2-2-2-2-2221111-1-1-1-1-2-1-111222-2-2211-1-1-1-1-1-100111111-1-100000000000000
χ2722222-1222-1-122-1-2-2-2-22-122211111111-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2111111112-1-1-1-1-2-22-2-22-1-11111-1-100-1-11111-1-100000000000000
χ2822222-1222-1-122-1-2-2-2-22-122211111111-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2111111112-1-1-1-122-222-211-1-1-1-1110011-1-1-1-11100000000000000
χ2922222-1-2-22-1-122-100002-1-222−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1-11111-2-222-2-20000−i3−i3i3i3−i3−i3i3i3-2111100-2002-1-1−i3−i3i3i3110011−i3−i3i3i3-1-100000000000000
χ3022222-1-2-22-1-122-100002-1-222−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1-11111-2-2-2-2220000−i3−i3i3i3−i3−i3i3i3-2111100200-211i3i3−i3−i3-1-100-1-1i3i3−i3−i31100000000000000
χ3122222-1-2-22-1-122-100002-1-222i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1-11111-2-222-2-20000i3i3−i3−i3i3i3−i3−i3-2111100-2002-1-1i3i3−i3−i3110011i3i3−i3−i3-1-100000000000000
χ3222222-1-2-22-1-122-100002-1-222i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1-11111-2-2-2-2220000i3i3−i3−i3i3i3−i3−i3-2111100200-211−i3−i3i3i3-1-100-1-1−i3−i3i3i31100000000000000
χ3322222-1-2-22-1-122-10000-2-12-2-2−i3−i3i3i3i3i3−i3−i311-1-11111-111-1-1-2-222-2-20000−i3−i3i3i3i3i3−i3−i3211-1-100200-2-1-1−i3−i3i3i3-1-10011i3i3−i3−i31100000000000000
χ3422222-1-2-22-1-122-10000-2-12-2-2−i3−i3i3i3i3i3−i3−i311-1-11111-111-1-1-2-2-2-2220000−i3−i3i3i3i3i3−i3−i3211-1-100-200211i3i3−i3−i31100-1-1−i3−i3i3i3-1-100000000000000
χ3522222-1-2-22-1-122-10000-2-12-2-2i3i3−i3−i3−i3−i3i3i311-1-11111-111-1-1-2-222-2-20000i3i3−i3−i3−i3−i3i3i3211-1-100200-2-1-1i3i3−i3−i3-1-10011−i3−i3i3i31100000000000000
χ3622222-1-2-22-1-122-10000-2-12-2-2i3i3−i3−i3−i3−i3i3i311-1-11111-111-1-1-2-2-2-2220000i3i3−i3−i3−i3−i3i3i3211-1-100-200211−i3−i3i3i31100-1-1i3i3−i3−i3-1-100000000000000
χ372222-1222-122-1-1222222-12-1-12222222222-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002200000000222-1-1-1-100-1-1000
χ382222-1222-122-1-1222222-12-1-12222222222-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200000000-2-2-211110011000
χ392222-1222-122-1-1222-2-2-2-1-2112222-2-2-2-2-2-2-1-11111-122-2-2-1-10000-1-111-1-1-1-111111-1-111000000000000002200000000-22-2-1-11100-11000
χ402222-1222-122-1-1222-2-2-2-1-2112222-2-2-2-2-2-2-1-11111-122-2-2-1-10000-1-111-1-1-1-111111-1-11100000000000000-2-2000000002-2211-1-1001-1000
χ412222-1222-122-1-12-2-222-2-1-211-2-2-2-22222-2-2-1-11111-122-2-2-1-1000011-1-11111-1-1-1-11-1-1110000000000000022000000002-2-2-1-111001-1000
χ422222-1222-122-1-12-2-222-2-1-211-2-2-2-22222-2-2-1-11111-122-2-2-1-1000011-1-11111-1-1-1-11-1-11100000000000000-2-200000000-22211-1-100-11000
χ432222-1222-122-1-12-2-2-2-22-12-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-12222-1-10000111111111111-1-1-1-1-1000000000000002200000000-2-22-1-1-1-10011000
χ442222-1222-122-1-12-2-2-2-22-12-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-12222-1-10000111111111111-1-1-1-1-100000000000000-2-20000000022-2111100-1-1000
χ452-22-2222-2-2-2-2-222002-20200000002-22-200-2-2000022-2002-22-22-2002-200002-22-202-2000002-202-2000000002-22-22-20000000000000000
χ462-22-2222-2-2-2-2-222002-20200000002-22-200-2-2000022-2002-2-22-22002-200002-22-202-200000-220-2200000000-22-22-220000000000000000
χ472-22-2222-2-2-2-2-22200-22020000000-22-2200-2-2000022-2002-22-22-200-220000-22-2202-200000-2202-2000000002-2-22-220000000000000000
χ482-22-2222-2-2-2-2-22200-22020000000-22-2200-2-2000022-2002-2-22-2200-220000-22-2202-2000002-20-2200000000-222-22-20000000000000000
χ492-22-222-22-2-2-2-2222-200020002-22-2000000-2-200002-2200-222-2-222-2002-22-200000-22002-200002-22-22-20000-2200000000000000000000
χ502-22-222-22-2-2-2-2222-200020002-22-2000000-2-200002-2200-22-222-22-2002-22-200000-2200-220000-22-22-2200002-200000000000000000000
χ512-22-222-22-2-2-2-222-220002000-22-22000000-2-200002-2200-222-2-22-2200-22-2200000-2200-2200002-2-22-220000-2200000000000000000000
χ522-22-222-22-2-2-2-222-220002000-22-22000000-2-200002-2200-22-222-2-2200-22-2200000-22002-20000-222-22-200002-200000000000000000000
χ532-22-22-12-2-211-22-1002-20-1000−i3i3i3−i3-11-11−i3i311−i3−i3i3i3-1-11−i3i32-22-22-2002-2−i3i3i3−i3-11-110-11−i3i30002-20-11−i3i3i3−i3−i3i300-11-11-11−i3i300000000000000
χ542-22-22-12-2-211-22-1002-20-1000−i3i3i3−i3-11-11−i3i311−i3−i3i3i3-1-11−i3i32-2-22-22002-2−i3i3i3−i3-11-110-11−i3i3000-2201-1i3−i3−i3i3i3−i3001-11-11-1i3−i300000000000000
χ552-22-22-12-2-211-22-1002-20-1000i3−i3−i3i3-11-11i3−i311i3i3−i3−i3-1-11i3−i32-22-22-2002-2i3−i3−i3i3-11-110-11i3−i30002-20-11i3−i3−i3i3i3−i300-11-11-11i3−i300000000000000
χ562-22-22-12-2-211-22-1002-20-1000i3−i3−i3i3-11-11i3−i311i3i3−i3−i3-1-11i3−i32-2-22-22002-2i3−i3−i3i3-11-110-11i3−i3000-2201-1−i3i3i3−i3−i3i3001-11-11-1−i3i300000000000000
χ572-22-22-12-2-211-22-100-220-1000−i3i3i3−i31-11-1i3−i311i3i3−i3−i3-1-11i3−i32-22-22-200-22−i3i3i3−i31-11-10-11i3−i3000-220-11−i3i3i3−i3i3−i300-111-11-1i3−i300000000000000
χ582-22-22-12-2-211-22-100-220-1000−i3i3i3−i31-11-1i3−i311i3i3−i3−i3-1-11i3−i32-2-22-2200-22−i3i3i3−i31-11-10-11i3−i30002-201-1i3−i3−i3i3−i3i3001-1-11-11−i3i300000000000000
χ592-22-22-12-2-211-22-100-220-1000i3−i3−i3i31-11-1−i3i311−i3−i3i3i3-1-11−i3i32-22-22-200-22i3−i3−i3i31-11-10-11−i3i3000-220-11i3−i3−i3i3−i3i300-111-11-1−i3i300000000000000
χ602-22-22-12-2-211-22-100-220-1000i3−i3−i3i31-11-1−i3i311−i3−i3i3i3-1-11−i3i32-2-22-2200-22i3−i3−i3i31-11-10-11−i3i30002-201-1−i3i3i3−i3i3−i3001-1-11-11i3−i300000000000000
χ612-22-22-1-22-211-22-12-2000-1000-11-11−i3i3i3−i3−i3i311−i3−i3i3i3-11-1i3−i3-222-2-222-200-11-11−i3i3i3−i301-1i3−i32-20000-11-11-11i3−i3001-1−i3i3i3−i3−i3i300000000000000
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χ632-22-22-1-22-211-22-12-2000-1000-11-11i3−i3−i3i3i3−i311i3i3−i3−i3-11-1−i3i3-222-2-222-200-11-11i3−i3−i3i301-1−i3i32-20000-11-11-11−i3i3001-1i3−i3−i3i3i3−i300000000000000
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χ744444-2-244-2-2-2-2-2-2-4-4-4-4414-2-222222222-2-21111111-2-2-2-2-2-200002222-1-1-1-1-1-1-1-1-2111100000000000000000000000000000000000000
χ754444-2-2-4-4-2-2-2-2-2-2000041-4-2-2−2i3−2i32i32i3−2i3−2i32i32i3-2-2111111122222200000000i3i3−i3−i3i3i3−i3−i32-1-1-1-100000000000000000000000000000000000000
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χ8044-4-4440044-4-4-4-400000400000000000004-40000-4000000000000000000000000000000000000000002i2−2i2000000000002i2−2i2000000000
χ8144-4-4-2400-24-422-400000-20−2i32i30000000000-22−2i32i3−2i32i3200000000000000000000000000000000000000000−2i22i200000000000i2−i26−60000000
χ8244-4-4-2400-24-422-400000-20−2i32i30000000000-22−2i32i3−2i32i32000000000000000000000000000000000000000002i2−2i200000000000−i2i2−660000000
χ8344-4-4-2400-24-422-400000-202i3−2i30000000000-222i3−2i32i3−2i3200000000000000000000000000000000000000000−2i22i200000000000i2−i2−660000000
χ8444-4-4-2400-24-422-400000-202i3−2i30000000000-222i3−2i32i3−2i32000000000000000000000000000000000000000002i2−2i200000000000−i2i26−60000000
χ854-44-4-244-42-4-42-24004-40-200000004-44-400220000-24-400-22000000-220000-22-220-220000000000000000000000000000000000000000
χ864-44-4-244-42-4-42-2400-440-20000000-44-4400220000-24-400-220000002-200002-22-20-220000000000000000000000000000000000000000
χ874-44-4-24-442-4-42-244-4000-20004-44-4000000220000-2-44002-20000-2200-22-22000002-20000000000000000000000000000000000000000
χ884-44-4-24-442-4-42-24-44000-2000-44-44000000220000-2-44002-200002-2002-22-2000002-20000000000000000000000000000000000000000
χ894-44-4-2-24-42222-2-2004-401000−2i32i32i3−2i3-22-22−2i32i3-1-1i3i3−i3−i31-22−2i32i3-22000000-22i3−i3−i3i31-11-101-1i3−i300000000000000000000000000000000000000
χ904-44-4-2-24-42222-2-2004-4010002i3−2i3−2i32i3-22-222i3−2i3-1-1−i3−i3i3i31-222i3−2i3-22000000-22−i3i3i3−i31-11-101-1−i3i300000000000000000000000000000000000000
χ914-44-4-2-24-42222-2-200-4401000−2i32i32i3−2i32-22-22i3−2i3-1-1−i3−i3i3i31-222i3−2i3-220000002-2i3−i3−i3i3-11-1101-1−i3i300000000000000000000000000000000000000
χ924-44-4-2-24-42222-2-200-44010002i3−2i3−2i32i32-22-2−2i32i3-1-1i3i3−i3−i31-22−2i32i3-220000002-2−i3i3i3−i3-11-1101-1i3−i300000000000000000000000000000000000000
χ934-44-4-2-2-442222-2-24-40001000-22-22−2i32i32i3−2i3−2i32i3-1-1i3i3−i3−i312-22i3−2i32-20000-22001-11-1i3−i3−i3i30-11−i3i300000000000000000000000000000000000000
χ944-44-4-2-2-442222-2-24-40001000-22-222i3−2i3−2i32i32i3−2i3-1-1−i3−i3i3i312-2−2i32i32-20000-22001-11-1−i3i3i3−i30-11i3−i300000000000000000000000000000000000000
χ954-44-4-2-2-442222-2-2-4400010002-22-2−2i32i32i3−2i32i3−2i3-1-1−i3−i3i3i312-2−2i32i32-200002-200-11-11i3−i3−i3i30-11i3−i300000000000000000000000000000000000000
χ964-44-4-2-2-442222-2-2-4400010002-22-22i3−2i3−2i32i3−2i32i3-1-1i3i3−i3−i312-22i3−2i32-200002-200-11-11−i3i3i3−i30-11−i3i300000000000000000000000000000000000000
χ974-4-444400-4-444-4-40000040000000000000-440000-4000000000000000000000000000000000000000000000000000000000022−2200000
χ984-4-444400-4-444-4-40000040000000000000-440000-40000000000000000000000000000000000000000000000000000000000−222200000
χ9988-8-88-4008-44-8-8400000-40000000000000-440000400000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-400-4-444440000020−4i34i300000000002-22i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-400-4-4444400000204i3−4i300000000002-2−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-400-84-48-8400000-400000000000004-40000400000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48004-88-44-800000-400000000000004-40000400000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-40044-4-4440000020000000000000-226-6-66-200000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-40044-4-4440000020000000000000-22-666-6-200000000000000000000000000000000000000000000000000000000000000000

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