Finite Group Databasebeta

← Group #11872817

Character table — Group #11872817

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order122233446666662222234666666666666666666612121212121244446666666666661212121212444444881212121212121212121212121212121244824242424881212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
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
χ51111111111111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111111111-1-11111-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-111-1-111-11-11-1
χ61111111111111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111111111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-111-1-11-11-11
χ71111111111111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-111-1-1-1-1-111-11
χ81111111111111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11-1-111111-1-11-1
χ911111111111111-1-111-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1111111-1-111-1-1-1-11111-111-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-11-1-111-1-1111-11-1-1
χ1011111111111111-1-111-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1111111-1-111-1-1-1-11111-111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-1-11-111
χ1111111111111111-1-111-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111
χ1211111111111111-1-111-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-111-1-1
χ1311111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-11
χ1411111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1
χ1511111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-111-1
χ1611111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-11111-1-11
χ17222222-2-2222222000022-20000000022222222222-2-2-2-2-2-222-2-2000000000000-2-2-2-2-200-20020022-2-20000000022-2-200000000000000
χ18222222-2-2222222000022-20000000022222222222-2-2-2-2-2-2-2-222000000000000-2-2-2-2-200200-200-2-22200000000-2-22200000000000000
χ19222222-2-22222220000-22200000000-2-2-2-222-2-2-2-22-2-222-2-222-2-20000000000002-2-22200200-20022-2-200000000-2-22200000000000000
χ20222222-2-22222220000-22200000000-2-2-2-222-2-2-2-22-2-222-2-2-2-2220000000000002-2-22200-200200-2-2220000000022-2-200000000000000
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χ2322222-1222-122-1-122-2-2-2-1-2-1-1-1-11111-2-211-1-11111-1-1-11122222222-2-2-1-1-1-11111-2-1-11122-2-2-2-200-1-1-1-1-1-1-1-11111111100000000000000
χ2422222-1222-122-1-122-2-2-2-1-2-1-1-1-11111-2-211-1-11111-1-1-11122-2-2-2-222-2-2-1-1-1-11111-2-1-111-2-222220011111111-1-1-1-1-1-1-1-100000000000000
χ2522222-1222-122-1-1-2-222-2-1-21111-1-1-1-1-2-211-1-11111-1-1-111222222-2-2221111-1-1-1-1-2-1-111-2-2-222-200-1-1-1-11111-1-1-1-1111100000000000000
χ2622222-1222-122-1-1-2-222-2-1-21111-1-1-1-1-2-211-1-11111-1-1-11122-2-2-2-2-2-2221111-1-1-1-1-2-1-111222-2-22001111-1-1-1-11111-1-1-1-100000000000000
χ2722222-1222-122-1-1-2-2-2-22-121111111122-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2111111112-1-1-1-1-2-22-2-2200-1-1-1-111111111-1-1-1-100000000000000
χ2822222-1222-122-1-1-2-2-2-22-121111111122-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2111111112-1-1-1-122-222-2001111-1-1-1-1-1-1-1-1111100000000000000
χ2922222-1-2-22-122-1-100002-1-2−i3−i3i3i3−i3−i3i3i322-1-1-1-1-1-1-1-1-11111-2-222-2-20000−i3−i3i3i3−i3−i3i3i3-2111100-200200-1-111−i3−i3i3i3−i3−i3i3i3-1-11100000000000000
χ3022222-1-2-22-122-1-100002-1-2−i3−i3i3i3−i3−i3i3i322-1-1-1-1-1-1-1-1-11111-2-2-2-2220000−i3−i3i3i3−i3−i3i3i3-2111100200-20011-1-1i3i3−i3−i3i3i3−i3−i311-1-100000000000000
χ3122222-1-2-22-122-1-100002-1-2i3i3−i3−i3i3i3−i3−i322-1-1-1-1-1-1-1-1-11111-2-222-2-20000i3i3−i3−i3i3i3−i3−i3-2111100-200200-1-111i3i3−i3−i3i3i3−i3−i3-1-11100000000000000
χ3222222-1-2-22-122-1-100002-1-2i3i3−i3−i3i3i3−i3−i322-1-1-1-1-1-1-1-1-11111-2-2-2-2220000i3i3−i3−i3i3i3−i3−i3-2111100200-20011-1-1−i3−i3i3i3−i3−i3i3i311-1-100000000000000
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χ3422222-1-2-22-122-1-10000-2-12−i3−i3i3i3i3i3−i3−i3-2-211-1-11111-111-1-1-2-2-2-2220000−i3−i3i3i3i3i3−i3−i3211-1-100-20020011-1-1i3i3−i3−i3−i3−i3i3i3-1-11100000000000000
χ3522222-1-2-22-122-1-10000-2-12i3i3−i3−i3−i3−i3i3i3-2-211-1-11111-111-1-1-2-222-2-20000i3i3−i3−i3−i3−i3i3i3211-1-100200-200-1-111i3i3−i3−i3−i3−i3i3i311-1-100000000000000
χ3622222-1-2-22-122-1-10000-2-12i3i3−i3−i3−i3−i3i3i3-2-211-1-11111-111-1-1-2-2-2-2220000i3i3−i3−i3−i3−i3i3i3211-1-100-20020011-1-1−i3−i3i3i3i3i3−i3−i3-1-11100000000000000
χ372222-1222-12-1-12222222-1222222222-1-122-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000220000000000000000222-1-1-1-100-1-1000
χ382222-1222-12-1-12222222-1222222222-1-122-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-20000000000000000-2-2-211110011000
χ392222-1222-12-1-12222-2-2-2-1-22222-2-2-2-211-2-2-1-11111-122-2-2-1-10000-1-111-1-1-1-111111-1-111000000220000000000000000-22-2-1-111001-1000
χ402222-1222-12-1-12222-2-2-2-1-22222-2-2-2-211-2-2-1-11111-122-2-2-1-10000-1-111-1-1-1-111111-1-111000000-2-200000000000000002-2211-1-100-11000
χ412222-1222-12-1-122-2-222-2-1-2-2-2-2-2222211-2-2-1-11111-122-2-2-1-1000011-1-11111-1-1-1-11-1-1110000002200000000000000002-2-2-1-11100-11000
χ422222-1222-12-1-122-2-222-2-1-2-2-2-2-2222211-2-2-1-11111-122-2-2-1-1000011-1-11111-1-1-1-11-1-111000000-2-20000000000000000-22211-1-1001-1000
χ432222-1222-12-1-122-2-2-2-22-12-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-1-12222-1-10000111111111111-1-1-1-1-1000000220000000000000000-2-22-1-1-1-10011000
χ442222-1222-12-1-122-2-2-2-22-12-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-1-12222-1-10000111111111111-1-1-1-1-1000000-2-2000000000000000022-2111100-1-1000
χ452-22-2222-2-22-22-2-2002-202000002-22-20000-2-2000022-2002-22i−2i2i−2i002-200002-22-202-2000002i−2i0002i−2i2i−2i00002i−2i2i−2i000000000000000000
χ462-22-2222-2-22-22-2-2002-202000002-22-20000-2-2000022-2002-2−2i2i−2i2i002-200002-22-202-200000−2i2i000−2i2i−2i2i0000−2i2i−2i2i000000000000000000
χ472-22-2222-2-22-22-2-200-220200000-22-220000-2-2000022-2002-22i−2i2i−2i00-220000-22-2202-200000−2i2i0002i−2i2i−2i0000−2i2i−2i2i000000000000000000
χ482-22-2222-2-22-22-2-200-220200000-22-220000-2-2000022-2002-2−2i2i−2i2i00-220000-22-2202-2000002i−2i000−2i2i−2i2i00002i−2i2i−2i000000000000000000
χ492-22-222-22-22-22-2-22-2000202-22-200000000-2-200002-2200-222i−2i−2i2i2-2002-22-200000-22002i−2i0000002i−2i−2i2i2i−2i2i−2i0000000000000000000000
χ502-22-222-22-22-22-2-22-2000202-22-200000000-2-200002-2200-22−2i2i2i−2i2-2002-22-200000-2200−2i2i000000−2i2i2i−2i−2i2i−2i2i0000000000000000000000
χ512-22-222-22-22-22-2-2-2200020-22-2200000000-2-200002-2200-222i−2i−2i2i-2200-22-2200000-2200−2i2i0000002i−2i−2i2i−2i2i−2i2i0000000000000000000000
χ522-22-222-22-22-22-2-2-2200020-22-2200000000-2-200002-2200-22−2i2i2i−2i-2200-22-2200000-22002i−2i000000−2i2i2i−2i2i−2i2i−2i0000000000000000000000
χ532-22-22-12-2-2-1-2211002-20-10−i3i3i3−i3-11-1100−i3i311−i3−i3i3i3-1-11−i3i32-22i−2i2i−2i002-2−i3i3i3−i3-11-110-11−i3i30002i−2i000−ii−ii3−3−33−ii−ii3−33−300000000000000
χ542-22-22-12-2-2-1-2211002-20-10−i3i3i3−i3-11-1100−i3i311−i3−i3i3i3-1-11−i3i32-2−2i2i−2i2i002-2−i3i3i3−i3-11-110-11−i3i3000−2i2i000i−ii−i−333−3i−ii−i−33−3300000000000000
χ552-22-22-12-2-2-1-2211002-20-10i3−i3−i3i3-11-1100i3−i311i3i3−i3−i3-1-11i3−i32-22i−2i2i−2i002-2i3−i3−i3i3-11-110-11i3−i30002i−2i000−ii−ii−333−3−ii−ii−33−3300000000000000
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χ582-22-22-12-2-2-1-221100-220-10−i3i3i3−i31-11-100i3−i311i3i3−i3−i3-1-11i3−i32-2−2i2i−2i2i00-22−i3i3i3−i31-11-10-11i3−i30002i−2i000i−ii−i−333−3−ii−ii3−33−300000000000000
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χ784444-2-2-4-4-2-2-2-2-2-20000-4142i32i3−2i3−2i3−2i3−2i32i32i3222211-1-1-1-1122-2-22200000000−i3−i3i3i3i3i3−i3−i3-2-1-11100000000000000000000000000000000000000
χ7944-4-44400-4-44-44-400000400000000000004-40000-40000000000000000000000000000000000000000000000000000000000−2i22i200000
χ8044-4-44400-4-44-44-400000400000000000004-40000-400000000000000000000000000000000000000000000000000000000002i2−2i200000
χ814-44-4-244-4242-2-4-4004-40-2000004-44-40000220000-24-400-22000000-220000-22-220-220000000000000000000000000000000000000000
χ824-44-4-244-4242-2-4-400-440-200000-44-440000220000-24-400-220000002-200002-22-20-220000000000000000000000000000000000000000
χ834-44-4-24-44242-2-4-44-4000-204-44-400000000220000-2-44002-20000-2200-22-22000002-20000000000000000000000000000000000000000
χ844-44-4-24-44242-2-4-4-44000-20-44-4400000000220000-2-44002-200002-2002-22-2000002-20000000000000000000000000000000000000000
χ854-44-4-2-24-42-22-222004-4010−2i32i32i3−2i3-22-2200−2i32i3-1-1i3i3−i3−i31-22−2i32i3-22000000-22i3−i3−i3i31-11-101-1i3−i300000000000000000000000000000000000000
χ864-44-4-2-24-42-22-222004-40102i3−2i3−2i32i3-22-22002i3−2i3-1-1−i3−i3i3i31-222i3−2i3-22000000-22−i3i3i3−i31-11-101-1−i3i300000000000000000000000000000000000000
χ874-44-4-2-24-42-22-22200-44010−2i32i32i3−2i32-22-2002i3−2i3-1-1−i3−i3i3i31-222i3−2i3-220000002-2i3−i3−i3i3-11-1101-1−i3i300000000000000000000000000000000000000
χ884-44-4-2-24-42-22-22200-440102i3−2i3−2i32i32-22-200−2i32i3-1-1i3i3−i3−i31-22−2i32i3-220000002-2−i3i3i3−i3-11-1101-1i3−i300000000000000000000000000000000000000
χ894-44-4-2-2-442-22-2224-400010-22-22−2i32i32i3−2i300−2i32i3-1-1i3i3−i3−i312-22i3−2i32-20000-22001-11-1i3−i3−i3i30-11−i3i300000000000000000000000000000000000000
χ904-44-4-2-2-442-22-2224-400010-22-222i3−2i3−2i32i3002i3−2i3-1-1−i3−i3i3i312-2−2i32i32-20000-22001-11-1−i3i3i3−i30-11i3−i300000000000000000000000000000000000000
χ914-44-4-2-2-442-22-222-44000102-22-2−2i32i32i3−2i3002i3−2i3-1-1−i3−i3i3i312-2−2i32i32-200002-200-11-11i3−i3−i3i30-11i3−i300000000000000000000000000000000000000
χ924-44-4-2-2-442-22-222-44000102-22-22i3−2i3−2i32i300−2i32i3-1-1i3i3−i3−i312-22i3−2i32-200002-200-11-11−i3i3i3−i30-11−i3i300000000000000000000000000000000000000
χ934-4-4444004-4-4-4-440000040000000000000-440000-4000000000000000000000000000000000−2i22i20000000000000000000−2i22i2000000000
χ944-4-4444004-4-4-4-440000040000000000000-440000-40000000000000000000000000000000002i2−2i200000000000000000002i2−2i2000000000
χ954-4-44-2400-2-422-4400000-2000000000−2i32i3002-2−2i32i3−2i32i32000000000000000000000000000000000−2i22i20000000000000000000i2−i26−60000000
χ964-4-44-2400-2-422-4400000-2000000000−2i32i3002-2−2i32i3−2i32i320000000000000000000000000000000002i2−2i20000000000000000000−i2i2−660000000
χ974-4-44-2400-2-422-4400000-20000000002i3−2i3002-22i3−2i32i3−2i32000000000000000000000000000000000−2i22i20000000000000000000i2−i2−660000000
χ984-4-44-2400-2-422-4400000-20000000002i3−2i3002-22i3−2i32i3−2i320000000000000000000000000000000002i2−2i20000000000000000000−i2i26−60000000
χ9988-8-88-400-848-8-4400000-40000000000000-440000400000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48004-8-448-800000-40000000000000-440000400000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-40044-44-4400000200000000000002-26-6-66-200000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-40044-44-4400000200000000000002-2-666-6-200000000000000000000000000000000000000000000000000000000000000000
χ1038-8-888-40084-8-84-400000-400000000000004-40000400000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-400-44444-4000002000000000−4i34i300-222i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-400-44444-40000020000000004i3−4i300-22−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000000

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