Finite Group Databasebeta

← Group #11872512

Character table — Group #11872512

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order1222334466666623444446666666666612121212121212121212121212124444121212121212121212121212121212121222444466668812121212121212121212121244824242424881212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
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
χ51111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-11111111-1-1-1-11
χ61111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11111-1
χ71111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111-1
χ81111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-11
χ911111111111111-1111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1111111-111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-111-1-1111-11-1-1
χ1011111111111111-1111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1111111-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-11-1-111-1-1-11-111
χ1111111111111111-1111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-11-111-1-1-1-11-1-111
χ1211111111111111-1111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-11-1-11111-111-1-1
χ1311111111111111-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1111111-1-11-1-111-1-111-11-11-1
χ1411111111111111-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-111-1-111-1-11-11-11
χ1511111111111111-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1111-1-111-1-1-1-1-111-11
χ1611111111111111-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-111-111-1-111111-1-11-1
χ17222222-2-2222222220000-222222222222-2-2-2-200000000-2-222-2-2-20000-2-2-2-20000000000-2200000000-2-222000022-2-200000000000000
χ18222222-2-2222222220000-222222222222-2-2-2-200000000-2-2-2-222-20000-2-2-2-200000000002-20000000022-2-20000-2-22200000000000000
χ19222222-2-2222222-2200002-2-2-2-22-2-2-2-222-2-22200000000-2-222-2-220000-2-22200000000002-200000000-2-2-2-20000222200000000000000
χ20222222-2-2222222-2200002-2-2-2-22-2-2-2-222-2-22200000000-2-2-2-22220000-2-2220000000000-220000000022220000-2-2-2-200000000000000
χ2122222-1222-12-12-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222-12-12-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211110011111111111100000000000000
χ2322222-1222-12-12-12-1-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1111111112222222-2-2-2-2-1-1-1-111111111-2-222-2-2111100-1-1-1-11111-1-1-1-100000000000000
χ2422222-1222-12-12-12-1-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-22-2-2-2-2-1-1-1-11111111122-2-222-1-1-1-1001111-1-1-1-1111100000000000000
χ2522222-1222-12-12-1-2-122-2-2-2-2-211-11111-1-1-1-111-1-1-1-11111222222-222-2-2-1-111-1-1-1-1111122-2-2-2-2-1-1-1-100-1-1111111-1-11100000000000000
χ2622222-1222-12-12-1-2-122-2-2-2-2-211-11111-1-1-1-111-1-1-1-1111122-2-2-2-2-222-2-2-1-111-1-1-1-11111-2-2222211110011-1-1-1-1-1-111-1-100000000000000
χ2722222-1222-12-12-1-2-1-2-222-2-2-211-11111-1-1-1-1111111-1-1-1-1222222-2-2-222-1-1111111-1-1-1-1-2-2-2-222111100-1-111-1-1-1-1-1-11100000000000000
χ2822222-1222-12-12-1-2-1-2-222-2-2-211-11111-1-1-1-1111111-1-1-1-122-2-2-2-2-2-2-222-1-1111111-1-1-1-12222-2-2-1-1-1-10011-1-1111111-1-100000000000000
χ2922222-1-2-22-12-12-12-10000-222-1-1-1-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-222-2-2-200001111−i3−i3i3i3−i3−i3i3i300-2200−i3−i3i3i30011-1-1−i3−i3i3i3-1-11100000000000000
χ3022222-1-2-22-12-12-12-10000-222-1-1-1-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2-2-222-200001111−i3−i3i3i3−i3−i3i3i3002-200i3i3−i3−i300-1-111i3i3−i3−i311-1-100000000000000
χ3122222-1-2-22-12-12-12-10000-222-1-1-1-1-1-1-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-222-2-2-200001111i3i3−i3−i3i3i3−i3−i300-2200i3i3−i3−i30011-1-1i3i3−i3−i3-1-11100000000000000
χ3222222-1-2-22-12-12-12-10000-222-1-1-1-1-1-1-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2-2-222-200001111i3i3−i3−i3i3i3−i3−i3002-200−i3−i3i3i300-1-111−i3−i3i3i311-1-100000000000000
χ3322222-1-2-22-12-12-1-2-100002-2-211-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i3-2-222-2-22000011-1-1−i3−i3i3i3i3i3−i3−i3002-200−i3−i3i3i3001111i3i3−i3−i3-1-1-1-100000000000000
χ3422222-1-2-22-12-12-1-2-100002-2-211-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i3-2-2-2-2222000011-1-1−i3−i3i3i3i3i3−i3−i300-2200i3i3−i3−i300-1-1-1-1−i3−i3i3i3111100000000000000
χ3522222-1-2-22-12-12-1-2-100002-2-211-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i3-2-222-2-22000011-1-1i3i3−i3−i3−i3−i3i3i3002-200i3i3−i3−i3001111−i3−i3i3i3-1-1-1-100000000000000
χ3622222-1-2-22-12-12-1-2-100002-2-211-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i3-2-2-2-2222000011-1-1i3i3−i3−i3−i3−i3i3i300-2200−i3−i3i3i300-1-1-1-1i3i3−i3−i3111100000000000000
χ372222-1222-12-12-122-122222-1-122-1-1-1-1-1-1-1222222222222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022000000000000222-1-1-1-100-1-1000
χ382222-1222-12-12-122-122222-1-122-1-1-1-1-1-1-1222222222222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2000000000000-2-2-211110011000
χ392222-1222-12-12-122-1-2-2-2-22-1-122-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-10000-11111-1-1-1-111111111000000000022000000000000-2-22-1-1-1-10011000
χ402222-1222-12-12-122-1-2-2-2-22-1-122-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-10000-11111-1-1-1-1111111110000000000-2-200000000000022-2111100-1-1000
χ412222-1222-12-12-12-2-122-2-2-211-2-2-11111-1-122-2-22222-2-2-2-2-1-100001-1-111-1-111-1-1-1-11111000000000022000000000000-22-2-1-11100-11000
χ422222-1222-12-12-12-2-122-2-2-211-2-2-11111-1-122-2-22222-2-2-2-2-1-100001-1-111-1-111-1-1-1-111110000000000-2-20000000000002-2211-1-1001-1000
χ432222-1222-12-12-12-2-1-2-222-211-2-2-11111-1-122-2-2-2-2-2-22222-1-10000111-1-1-1-1111111-1-1-1-10000000000220000000000002-2-2-1-111001-1000
χ442222-1222-12-12-12-2-1-2-222-211-2-2-11111-1-122-2-2-2-2-2-22222-1-10000111-1-1-1-1111111-1-1-1-10000000000-2-2000000000000-22211-1-100-11000
χ452-2-22222-2-2-222-2-202002i−2i00000-200002-22-20000002i−2i2i−2i2-22i−2i2i−2i0002i−2i2-20000002i−2i2i−2i00002-20000002i−2i002-22-22i−2i0000000000000000
χ462-2-22222-2-2-222-2-202002i−2i00000-200002-22-20000002i−2i2i−2i2-2−2i2i−2i2i0002i−2i2-20000002i−2i2i−2i0000-22000000−2i2i00-22-22−2i2i0000000000000000
χ472-2-22222-2-2-222-2-20200−2i2i00000-200002-22-2000000−2i2i−2i2i2-22i−2i2i−2i000−2i2i2-2000000−2i2i−2i2i0000-220000002i−2i00-22-222i−2i0000000000000000
χ482-2-22222-2-2-222-2-20200−2i2i00000-200002-22-2000000−2i2i−2i2i2-2−2i2i−2i2i000−2i2i2-2000000−2i2i−2i2i00002-2000000−2i2i002-22-2−2i2i0000000000000000
χ492-2-2222-22-2-222-2-2022i−2i0000000-200002-2-22002i−2i2i−2i0000-222i−2i−2i2i02i−2i00-22002i−2i2i−2i00002-200002-22-200−2i2i0000002i−2i0000000000000000
χ502-2-2222-22-2-222-2-2022i−2i0000000-200002-2-22002i−2i2i−2i0000-22−2i2i2i−2i02i−2i00-22002i−2i2i−2i0000-220000-22-22002i−2i000000−2i2i0000000000000000
χ512-2-2222-22-2-222-2-202−2i2i0000000-200002-2-2200−2i2i−2i2i0000-222i−2i−2i2i0−2i2i00-2200−2i2i−2i2i0000-220000-22-2200−2i2i0000002i−2i0000000000000000
χ522-2-2222-22-2-222-2-202−2i2i0000000-200002-2-2200−2i2i−2i2i0000-22−2i2i2i−2i0−2i2i00-2200−2i2i−2i2i00002-200002-22-2002i−2i000000−2i2i0000000000000000
χ532-2-222-12-2-212-1-210-1002i−2i000−i3i31−i3−i3i3i3-11-11−i3i33−3−33−ii−ii2-22i−2i2i−2i0002i−2i-11−i3i33−3−33−ii−ii00002-2−i3i3i3−i300−ii3−3-11-11−ii3−300000000000000
χ542-2-222-12-2-212-1-210-1002i−2i000−i3i31−i3−i3i3i3-11-11−i3i33−3−33−ii−ii2-2−2i2i−2i2i0002i−2i-11−i3i33−3−33−ii−ii0000-22i3−i3−i3i300i−i−331-11-1i−i−3300000000000000
χ552-2-222-12-2-212-1-210-1002i−2i000i3−i31i3i3−i3−i3-11-11i3−i3−333−3−ii−ii2-22i−2i2i−2i0002i−2i-11i3−i3−333−3−ii−ii00002-2i3−i3−i3i300−ii−33-11-11−ii−3300000000000000
χ562-2-222-12-2-212-1-210-1002i−2i000i3−i31i3i3−i3−i3-11-11i3−i3−333−3−ii−ii2-2−2i2i−2i2i0002i−2i-11i3−i3−333−3−ii−ii0000-22−i3i3i3−i300i−i3−31-11-1i−i3−300000000000000
χ572-2-222-12-2-212-1-210-100−2i2i000−i3i31−i3−i3i3i3-11-11−i3i3−333−3i−ii−i2-22i−2i2i−2i000−2i2i-11−i3i3−333−3i−ii−i0000-22i3−i3−i3i300−ii3−31-11-1−ii3−300000000000000
χ582-2-222-12-2-212-1-210-100−2i2i000−i3i31−i3−i3i3i3-11-11−i3i3−333−3i−ii−i2-2−2i2i−2i2i000−2i2i-11−i3i3−333−3i−ii−i00002-2−i3i3i3−i300i−i−33-11-11i−i−3300000000000000
χ592-2-222-12-2-212-1-210-100−2i2i000i3−i31i3i3−i3−i3-11-11i3−i33−3−33i−ii−i2-22i−2i2i−2i000−2i2i-11i3−i33−3−33i−ii−i0000-22−i3i3i3−i300−ii−331-11-1−ii−3300000000000000
χ602-2-222-12-2-212-1-210-100−2i2i000i3−i31i3i3−i3−i3-11-11i3−i33−3−33i−ii−i2-2−2i2i−2i2i000−2i2i-11i3−i33−3−33i−ii−i00002-2i3−i3−i3i300i−i3−3-11-11i−i3−300000000000000
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χ662-2-222-1-22-212-1-210-1−2i2i00000−i3i31−i3−i3i3i3-111-1i3−i3i−ii−i−333−3-22−2i2i2i−2i0−2i2i001-1i3−i3i−ii−i−333−32-20000-11-1100−ii−33−i3i3i3−i3i−i3−300000000000000
χ672-2-222-1-22-212-1-210-1−2i2i00000i3−i31i3i3−i3−i3-111-1−i3i3i−ii−i3−3−33-222i−2i−2i2i0−2i2i001-1−i3i3i−ii−i3−3−33-2200001-11-100i−i−33−i3i3i3−i3−ii3−300000000000000
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χ724444-2-244-2-2-2-2-2-241-4-4-4-44-2-2-2-21111111-2-2-2-222222222-2-20000-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ734444-2-244-2-2-2-2-2-2-4144-4-4-422221-1-1-1-111-2-222-2-2-2-22222-2-200002-2-22211-1-11111-1-1-1-100000000000000000000000000000000000000
χ744444-2-244-2-2-2-2-2-2-41-4-444-422221-1-1-1-111-2-2222222-2-2-2-2-2-20000222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000
χ754444-2-2-4-4-2-2-2-2-2-2410000-4-2-2-2-211111112222−2i3−2i32i32i3−2i3−2i32i32i322000020000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000
χ764444-2-2-4-4-2-2-2-2-2-2410000-4-2-2-2-2111111122222i32i3−2i3−2i32i32i3−2i3−2i322000020000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ774444-2-2-4-4-2-2-2-2-2-2-410000422221-1-1-1-11122-2-2−2i3−2i32i32i32i32i3−2i3−2i3220000-20000-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000
χ784444-2-2-4-4-2-2-2-2-2-2-410000422221-1-1-1-11122-2-22i32i3−2i3−2i3−2i3−2i32i32i3220000-20000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ7944-4-44400-4-4-4-44404000000000-40000-44000000000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ8044-4-44400-4-4-4-44404000000000-40000-440000000000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ814-44-4440044-4-4-4-40400000000040000-4-400000000000000000000000000000000000000000000022−2200000000000000022−22000000000
χ824-44-4440044-4-4-4-40400000000040000-4-4000000000000000000000000000000000000000000000−2222000000000000000−2222000000000
χ834-44-4-2400-242-42-40-200000−2i32i300-2−2i32i3−2i32i32200000000000000000000000000000000000000000000022−22000000000000000−22i6−i60000000
χ844-44-4-2400-242-42-40-200000−2i32i300-2−2i32i3−2i32i322000000000000000000000000000000000000000000000−22220000000000000002−2−i6i60000000
χ854-44-4-2400-242-42-40-2000002i3−2i300-22i3−2i32i3−2i32200000000000000000000000000000000000000000000022−22000000000000000−22−i6i60000000
χ864-44-4-2400-242-42-40-2000002i3−2i300-22i3−2i32i3−2i322000000000000000000000000000000000000000000000−22220000000000000002−2i6−i60000000
χ874-4-44-244-42-4-242-40-2004i−4i0000020000-224-40000004i−4i4i−4i-220000000−2i2i-22000000−2i2i−2i2i00000000000000000000000000000000000000
χ884-4-44-244-42-4-242-40-200−4i4i0000020000-224-4000000−4i4i−4i4i-2200000002i−2i-220000002i−2i2i−2i00000000000000000000000000000000000000
χ894-4-44-24-442-4-242-40-24i−4i000000020000-22-44004i−4i4i−4i00002-200000−2i2i002-200−2i2i−2i2i000000000000000000000000000000000000000000
χ904-4-44-24-442-4-242-40-2−4i4i000000020000-22-4400−4i4i−4i4i00002-2000002i−2i002-2002i−2i2i−2i000000000000000000000000000000000000000000
χ914-4-44-2-24-422-2-22201004i−4i000−2i32i3-1i3i3−i3−i31-1-22−2i32i323−23−2323−2i2i−2i2i-220000000−2i2i1-1i3−i3−333−3i−ii−i00000000000000000000000000000000000000
χ924-4-44-2-24-422-2-22201004i−4i0002i3−2i3-1−i3−i3i3i31-1-222i3−2i3−232323−23−2i2i−2i2i-220000000−2i2i1-1−i3i33−3−33i−ii−i00000000000000000000000000000000000000
χ934-4-44-2-24-422-2-2220100−4i4i000−2i32i3-1i3i3−i3−i31-1-22−2i32i3−232323−232i−2i2i−2i-2200000002i−2i1-1i3−i33−3−33−ii−ii00000000000000000000000000000000000000
χ944-4-44-2-24-422-2-2220100−4i4i0002i3−2i3-1−i3−i3i3i31-1-222i3−2i323−23−23232i−2i2i−2i-2200000002i−2i1-1−i3i3−333−3−ii−ii00000000000000000000000000000000000000
χ954-4-44-2-2-4422-2-222014i−4i00000−2i32i3-1i3i3−i3−i31-12-22i3−2i3−2i2i−2i2i23−23−23232-200000−2i2i00-11−i3i3i−ii−i−333−300000000000000000000000000000000000000
χ964-4-44-2-2-4422-2-222014i−4i000002i3−2i3-1−i3−i3i3i31-12-2−2i32i3−2i2i−2i2i−232323−232-200000−2i2i00-11i3−i3i−ii−i3−3−3300000000000000000000000000000000000000
χ974-4-44-2-2-4422-2-22201−4i4i00000−2i32i3-1i3i3−i3−i31-12-22i3−2i32i−2i2i−2i−232323−232-2000002i−2i00-11−i3i3−ii−ii3−3−3300000000000000000000000000000000000000
χ984-4-44-2-2-4422-2-22201−4i4i000002i3−2i3-1−i3−i3i3i31-12-2−2i32i32i−2i2i−2i23−23−23232-2000002i−2i00-11i3−i3−ii−ii−333−300000000000000000000000000000000000000
χ9988-8-88-400-84-848-40-4000000000400004-40000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48004-84-8-480-4000000000400004-40000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4004444-4-402000000000-26-6-66-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4004444-4-402000000000-2-666-6-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4008-4-84-840-4000000000-40000440000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-400-4-444440200000−4i34i30022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-400-4-4444402000004i3−4i3002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000000

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