Finite Group Databasebeta

← Group #11870390

Character table — Group #11870390

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order122233446666662344444666661212121212121212121212121212121212121212224466612121212121212121212121212122444446666881212121212121212121212122482424242488612448
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
χ51111111111111111-1-11-1-11111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11
χ61111111111111111-1-11-1-11111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1
χ71111111111111111-1-11-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111111-1-111111-1-1-1-111-1
χ81111111111111111-1-11-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-11
χ911111111111111-1111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-111-1-1111111-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-1-11-111-1-111-111-1-1
χ1011111111111111-1111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-111-1-1111111-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-1-111-1-11-1-111
χ1111111111111111-1111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1111-1-11111-1-111-1-1-1-11111-11-111-1-1-1-1-11-111
χ1211111111111111-1111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-111111-11-1-111111-11-1-1
χ1311111111111111-11-1-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1-111-111-1-11111-1-1-1-1-1-111111-1-111-1-1111-1-11-1
χ1411111111111111-11-1-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1-111-111-1-1-1-111-1-1-1-1-1-11111-111-1-111-1-1-111-11
χ1511111111111111-11-1-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-11111-1-1111111-1-1-1-11-1-111-1-1-1-11-11-11
χ1611111111111111-11-1-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-111-1-1-1-1111111-1-1-1-1-111-1-11111-11-11-1
χ17222222-2-22222222200-20022222-2-20000-2-2-2-20000-2-2-2-2-2-222-2-22220000-2-200000000-20000222-2-200-2-2220000000000000000000000
χ18222222-2-22222222200-20022222-2-20000-2-2-2-20000-2-2-2-2-2-2-2-2222220000-2-20000000020000-2-2-2220022-2-20000000000000000000000
χ19222222-2-2222222-2200200-2-2222220000-2-22200002222-2-222-2-2-2-2-20000-2-20000000020000-2222200-2-2-2-20000000000000000000000
χ20222222-2-2222222-2200200-2-2222220000-2-22200002222-2-2-2-222-2-2-20000-2-200000000-200002-2-2-2-20022220000000000000000000000
χ2122222-12222-12-1-12-122222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-12222-12-1-12-122222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211110011111111111100000000000000
χ2322222-12222-12-1-12-1-2-22-2-2-1-1-1-1-1221111-1-1-1-11111-1-1-1-12222222-1-1-2-2-2-2-1-1111111112-2-2-2-22-1-1-1-100-1-1-1-11111111100000000000000
χ2422222-12222-12-1-12-1-2-22-2-2-1-1-1-1-1221111-1-1-1-11111-1-1-1-122-2-2-2-22-1-1-2-2-2-2-1-111111111-22222-21111001111-1-1-1-1-1-1-1-100000000000000
χ2522222-12222-12-1-1-2-122-2-2-211-1-1-1-2-21111-1-111-1-1-1-11111222222-21122-2-2-1-1-1-1-1-11111-222-2-2-2-1-11100-1-111-1-1-1-1111100000000000000
χ2622222-12222-12-1-1-2-122-2-2-211-1-1-1-2-21111-1-111-1-1-1-1111122-2-2-2-2-21122-2-2-1-1-1-1-1-111112-2-222211-1-10011-1-11111-1-1-1-100000000000000
χ2722222-12222-12-1-1-2-1-2-2-22211-1-1-1-2-2-1-1-1-1-1-11111111111222222-211-2-222-1-11111-1-1-1-1-2-2-222-2-1-11100-1-1111111-1-1-1-100000000000000
χ2822222-12222-12-1-1-2-1-2-2-22211-1-1-1-2-2-1-1-1-1-1-1111111111122-2-2-2-2-211-2-222-1-11111-1-1-1-1222-2-2211-1-10011-1-1-1-1-1-1111100000000000000
χ2922222-1-2-222-12-1-12-100-200-1-1-1-1-1-2-2−i3−i3i3i31111−i3−i3i3i31111-2-222-2-22-1-1000011−i3−i3i3i3−i3−i3i3i3-200002-1-1110011-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ3022222-1-2-222-12-1-12-100-200-1-1-1-1-1-2-2−i3−i3i3i31111−i3−i3i3i31111-2-2-2-2222-1-1000011−i3−i3i3i3−i3−i3i3i320000-211-1-100-1-111i3i3−i3−i3i3i3−i3−i300000000000000
χ3122222-1-2-222-12-1-12-100-200-1-1-1-1-1-2-2i3i3−i3−i31111i3i3−i3−i31111-2-222-2-22-1-1000011i3i3−i3−i3i3i3−i3−i3-200002-1-1110011-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ3222222-1-2-222-12-1-12-100-200-1-1-1-1-1-2-2i3i3−i3−i31111i3i3−i3−i31111-2-2-2-2222-1-1000011i3i3−i3−i3i3i3−i3−i320000-211-1-100-1-111−i3−i3i3i3−i3−i3i3i300000000000000
χ3322222-1-2-222-12-1-1-2-10020011-1-1-122−i3−i3i3i311-1-1i3i3−i3−i3-1-1-1-1-2-222-2-2-211000011i3i3−i3−i3−i3−i3i3i320000-2-1-1-1-1001111i3i3−i3−i3−i3−i3i3i300000000000000
χ3422222-1-2-222-12-1-1-2-10020011-1-1-122−i3−i3i3i311-1-1i3i3−i3−i3-1-1-1-1-2-2-2-222-211000011i3i3−i3−i3−i3−i3i3i3-200002111100-1-1-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ3522222-1-2-222-12-1-1-2-10020011-1-1-122i3i3−i3−i311-1-1−i3−i3i3i3-1-1-1-1-2-222-2-2-211000011−i3−i3i3i3i3i3−i3−i320000-2-1-1-1-1001111−i3−i3i3i3i3i3−i3−i300000000000000
χ3622222-1-2-222-12-1-1-2-10020011-1-1-122i3i3−i3−i311-1-1−i3−i3i3i3-1-1-1-1-2-2-2-222-211000011−i3−i3i3i3i3i3−i3−i3-200002111100-1-1-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ372222-1222-1-12-1222-12222222-1-1-1-1-1222222222222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022000000000000222-1-1-1-100-1-1000
χ382222-1222-1-12-1222-12222222-1-1-1-1-1222222222222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2000000000000-2-2-211110011000
χ392222-1222-1-12-1222-1-2-22-2-222-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000-1-1-11111-1-111111111000000000022000000000000-2-22-1-1-1-10011000
χ402222-1222-1-12-1222-1-2-22-2-222-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000-1-1-11111-1-1111111110000000000-2-200000000000022-2111100-1-1000
χ412222-1222-1-12-122-2-122-2-2-2-2-2-1-1-111-2-2-2-222-2-222221111-1-10000111-1-111-1-1-1-1-1-11111000000000022000000000000-22-2-1-111001-1000
χ422222-1222-1-12-122-2-122-2-2-2-2-2-1-1-111-2-2-2-222-2-222221111-1-10000111-1-111-1-1-1-1-1-111110000000000-2-20000000000002-2211-1-100-11000
χ432222-1222-1-12-122-2-1-2-2-222-2-2-1-1-111222222-2-2-2-2-2-21111-1-1000011111-1-1-1-11111-1-1-1-10000000000220000000000002-2-2-1-11100-11000
χ442222-1222-1-12-122-2-1-2-2-222-2-2-1-1-111222222-2-2-2-2-2-21111-1-1000011111-1-1-1-11111-1-1-1-10000000000-2-2000000000000-22211-1-1001-1000
χ452-22-2222-22-2-2-22-2020002i−2i002-2-2002i−2i2i−2i2-200000000002-22-22-2000002i−2i2-200002i−2i2i−2i0002i−2i02-200002-20000002i−2i2i−2i00000000000000
χ462-22-2222-22-2-2-22-2020002i−2i002-2-2002i−2i2i−2i2-200000000002-2-22-22000002i−2i2-200002i−2i2i−2i000−2i2i0-220000-22000000−2i2i−2i2i00000000000000
χ472-22-2222-22-2-2-22-202000−2i2i002-2-200−2i2i−2i2i2-200000000002-22-22-200000−2i2i2-20000−2i2i−2i2i000−2i2i02-200002-2000000−2i2i−2i2i00000000000000
χ482-22-2222-22-2-2-22-202000−2i2i002-2-200−2i2i−2i2i2-200000000002-2-22-2200000−2i2i2-20000−2i2i−2i2i0002i−2i0-220000-220000002i−2i2i−2i00000000000000
χ492-22-222-222-2-2-22-2022i−2i000002-2-2000000-22002i−2i2i−2i0000-222-2-220002i−2i00-222i−2i2i−2i000002i−2i0002-20000-22002i−2i2i−2i000000000000000000
χ502-22-222-222-2-2-22-2022i−2i000002-2-2000000-22002i−2i2i−2i0000-22-222-20002i−2i00-222i−2i2i−2i00000−2i2i000-2200002-200−2i2i−2i2i000000000000000000
χ512-22-222-222-2-2-22-202−2i2i000002-2-2000000-2200−2i2i−2i2i0000-222-2-22000−2i2i00-22−2i2i−2i2i00000−2i2i0002-20000-2200−2i2i−2i2i000000000000000000
χ522-22-222-222-2-2-22-202−2i2i000002-2-2000000-2200−2i2i−2i2i0000-22-222-2000−2i2i00-22−2i2i−2i2i000002i−2i000-2200002-2002i−2i2i−2i000000000000000000
χ532-22-22-12-22-21-2-110-10002i−2i−i3i3-11100−ii−ii-11−i3i33−3−33−i3−i3i3i32-22-22-20−i3i3002i−2i-113−3−33−ii−ii0002i−2i0-11−i3i300-11−i3i33−3−33−ii−ii00000000000000
χ542-22-22-12-22-21-2-110-10002i−2i−i3i3-11100−ii−ii-11−i3i33−3−33−i3−i3i3i32-2-22-220−i3i3002i−2i-113−3−33−ii−ii000−2i2i01-1i3−i3001-1i3−i3−333−3i−ii−i00000000000000
χ552-22-22-12-22-21-2-110-10002i−2ii3−i3-11100−ii−ii-11i3−i3−333−3i3i3−i3−i32-22-22-20i3−i3002i−2i-11−333−3−ii−ii0002i−2i0-11i3−i300-11i3−i3−333−3−ii−ii00000000000000
χ562-22-22-12-22-21-2-110-10002i−2ii3−i3-11100−ii−ii-11i3−i3−333−3i3i3−i3−i32-2-22-220i3−i3002i−2i-11−333−3−ii−ii000−2i2i01-1−i3i3001-1−i3i33−3−33i−ii−i00000000000000
χ572-22-22-12-22-21-2-110-1000−2i2i−i3i3-11100i−ii−i-11−i3i3−333−3−i3−i3i3i32-22-22-20−i3i300−2i2i-11−333−3i−ii−i000−2i2i0-11−i3i300-11−i3i3−333−3i−ii−i00000000000000
χ582-22-22-12-22-21-2-110-1000−2i2i−i3i3-11100i−ii−i-11−i3i3−333−3−i3−i3i3i32-2-22-220−i3i300−2i2i-11−333−3i−ii−i0002i−2i01-1i3−i3001-1i3−i33−3−33−ii−ii00000000000000
χ592-22-22-12-22-21-2-110-1000−2i2ii3−i3-11100i−ii−i-11i3−i33−3−33i3i3−i3−i32-22-22-20i3−i300−2i2i-113−3−33i−ii−i000−2i2i0-11i3−i300-11i3−i33−3−33i−ii−i00000000000000
χ602-22-22-12-22-21-2-110-1000−2i2ii3−i3-11100i−ii−i-11i3−i33−3−33i3i3−i3−i32-2-22-220i3−i300−2i2i-113−3−33i−ii−i0002i−2i01-1−i3i3001-1−i3i3−333−3−ii−ii00000000000000
χ612-22-22-1-222-21-2-110-12i−2i000−i3i3-111003−3−331-1i3−i3−ii−iii3i3−i3−i3-222-2-220−i3i32i−2i001-1−ii−ii3−3−3302i−2i000-11i3−i3001-1−i3i3−ii−ii3−3−3300000000000000
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χ652-22-22-1-222-21-2-110-1−2i2i000−i3i3-11100−333−31-1i3−i3i−ii−ii3i3−i3−i3-222-2-220−i3i3−2i2i001-1i−ii−i−333−30−2i2i000-11i3−i3001-1−i3i3i−ii−i−333−300000000000000
χ662-22-22-1-222-21-2-110-1−2i2i000−i3i3-11100−333−31-1i3−i3i−ii−ii3i3−i3−i3-22-222-20−i3i3−2i2i001-1i−ii−i−333−302i−2i0001-1−i3i300-11i3−i3−ii−ii3−3−3300000000000000
χ672-22-22-1-222-21-2-110-1−2i2i000i3−i3-111003−3−331-1−i3i3i−ii−i−i3−i3i3i3-222-2-220i3−i3−2i2i001-1i−ii−i3−3−330−2i2i000-11−i3i3001-1i3−i3i−ii−i3−3−3300000000000000
χ682-22-22-1-222-21-2-110-1−2i2i000i3−i3-111003−3−331-1−i3i3i−ii−i−i3−i3i3i3-22-222-20i3−i3−2i2i001-1i−ii−i3−3−3302i−2i0001-1i3−i300-11−i3i3−ii−ii−333−300000000000000
χ694444-24-4-4-2-24-2444-200-40044-2-2-2220000-4-4-4-400002222220000-2-2-20000220000000000000000000000000000000000000000000000
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χ734444-2-244-2-2-2-2-2-2-4144-4-4-422111222222-2-222-2-2-2-2-1-1-1-1-2-200002-1-1-2-222111111-1-1-1-100000000000000000000000000000000000000
χ744444-2-244-2-2-2-2-2-2-41-4-4-4442211122-2-2-2-2-2-2222222-1-1-1-1-2-200002-1-122-2-211-1-1-1-1111100000000000000000000000000000000000000
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χ764444-2-2-4-4-2-2-2-2-2-24100-400-2-2111222i32i3−2i3−2i322222i32i3−2i3−2i3-1-1-1-1220000-2110000-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ774444-2-2-4-4-2-2-2-2-2-2-410040022111-2-2−2i3−2i32i32i322-2-22i32i3−2i3−2i311112200002-1-10000-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ784444-2-2-4-4-2-2-2-2-2-2-410040022111-2-22i32i3−2i3−2i322-2-2−2i3−2i32i32i311112200002-1-10000-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000
χ7944-4-44400-44-4-4-44040000000-44-4000000000000000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ8044-4-44400-44-4-4-44040000000-44-40000000000000000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ8144-4-4-24002-2-42-440-200000002-2223−2300000000000023−2323−23000000000000000000000000000000000−2i22i2000000000000000i2−i2i6−i60000000
χ8244-4-4-24002-2-42-440-200000002-2223−2300000000000023−2323−230000000000000000000000000000000002i2−2i2000000000000000−i2i2−i6i60000000
χ8344-4-4-24002-2-42-440-200000002-22−2323000000000000−2323−2323000000000000000000000000000000000−2i22i2000000000000000i2−i2−i6i60000000
χ8444-4-4-24002-2-42-440-200000002-22−2323000000000000−2323−23230000000000000000000000000000000002i2−2i2000000000000000−i2i2i6−i60000000
χ854-44-4-244-4-22-424-40-20004i−4i00-222004i−4i4i−4i4-40000000000-22000000000−2i2i-220000−2i2i−2i2i00000000000000000000000000000000000000
χ864-44-4-244-4-22-424-40-2000−4i4i00-22200−4i4i−4i4i4-40000000000-220000000002i−2i-2200002i−2i2i−2i00000000000000000000000000000000000000
χ874-44-4-24-44-22-424-40-24i−4i00000-222000000-44004i−4i4i−4i00002-20000000−2i2i002-2−2i2i−2i2i000000000000000000000000000000000000000000
χ884-44-4-24-44-22-424-40-2−4i4i00000-222000000-4400−4i4i−4i4i00002-200000002i−2i002-22i−2i2i−2i000000000000000000000000000000000000000000
χ894-44-4-2-24-4-2222-22010004i−4i−2i32i31-1-100−2i2i−2i2i-22−2i32i323−23−2323i3i3−i3−i3-2200000i3−i300−2i2i1-1−333−3i−ii−i00000000000000000000000000000000000000
χ904-44-4-2-24-4-2222-22010004i−4i2i3−2i31-1-100−2i2i−2i2i-222i3−2i3−232323−23−i3−i3i3i3-2200000−i3i300−2i2i1-13−3−33i−ii−i00000000000000000000000000000000000000
χ914-44-4-2-24-4-2222-2201000−4i4i−2i32i31-1-1002i−2i2i−2i-22−2i32i3−232323−23i3i3−i3−i3-2200000i3−i3002i−2i1-13−3−33−ii−ii00000000000000000000000000000000000000
χ924-44-4-2-24-4-2222-2201000−4i4i2i3−2i31-1-1002i−2i2i−2i-222i3−2i323−23−2323−i3−i3i3i3-2200000−i3i3002i−2i1-1−333−3−ii−ii00000000000000000000000000000000000000
χ934-44-4-2-2-44-2222-22014i−4i000−2i32i31-1-10023−23−23232-22i3−2i3−2i2i−2i2i−i3−i3i3i32-200000i3−i3−2i2i00-11i−ii−i−333−300000000000000000000000000000000000000
χ944-44-4-2-2-44-2222-22014i−4i0002i3−2i31-1-100−232323−232-2−2i32i3−2i2i−2i2ii3i3−i3−i32-200000−i3i3−2i2i00-11i−ii−i3−3−3300000000000000000000000000000000000000
χ954-44-4-2-2-44-2222-2201−4i4i000−2i32i31-1-100−232323−232-22i3−2i32i−2i2i−2i−i3−i3i3i32-200000i3−i32i−2i00-11−ii−ii3−3−3300000000000000000000000000000000000000
χ964-44-4-2-2-44-2222-2201−4i4i0002i3−2i31-1-10023−23−23232-2−2i32i32i−2i2i−2ii3i3−i3−i32-200000−i3i32i−2i00-11−ii−ii−333−300000000000000000000000000000000000000
χ974-4-444400-4-444-4-4040000000-4-44000000000000000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ984-4-444400-4-444-4-4040000000-4-440000000000000000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ9988-8-88-400-884-84-40-400000004-440000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4004-4444-4020000000-22-243−43000000000000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4004-4444-4020000000-22-2−434300000000000023−2323−230000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-400-8-8-48440-4000000044-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4800448-4-8-80-4000000044-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-40044-4-444020000000-2-22000000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-40044-4-444020000000-2-2200000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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