Finite Group Databasebeta

← Group #11870668

Character table — Group #11870668

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424444412121212412121212121212122424242424242224488881212121224242424121212121244246661212121224244448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-111111111111-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-1111-1-111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1-11-111-1-1-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1111-1-1-1-1-1-11-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-111-1-1-11-1-1-111111111-111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111-1-1111-1-11111-1-1-1-1-1-111111-1-11-1-1-11-1-11111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111-1-11111-111-1-1-1-1-11-1-111111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-111-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-11111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-111-1-11-1111-1-1-1-1-1-111-1111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1111111-1-1-1-111111-1-11111-1-111-1-1-11111-1-11-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-200000000-200000022-2-2000000000220000-200000000-20000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000002000000-2-2-2-2000000000-2-2000020000000020000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-200000000-20000002222000000000-2-20000-20000000020000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000002000000-2-222000000000220000200000000-20000
χ2122222-122-1-1222-10000-122-1-1-122-12-122222002200002-1-12222-1-1-1-1-1-1-1-1002220022-1-1000000-1-1-1-1-1002000-100-1-1-1-100000-10
χ2222222-122-1-1222-10000-122-1-1-122-12-12222200-2-200002-1-12222-1-1-1-1-1-1-1-100-2-2-200-2-211000000-1-1-1-1-100-200010011110000010
χ2322222-122-1-1222-10000-122-1-1-1-2-2-12-12-2-2-2-200220000-2-1-122-2-2-1-11111110022200-2-2-1-10000001-1-11100-2000-100-1-1110000010
χ2422222-122-1-1222-10000-122-1-1-1-2-2-12-12-2-2-2-200-2-20000-2-1-122-2-2-1-111111100-2-2-20022110000001-1-11100200010011-1-100000-10
χ2522222-122-1-1222-10000-1-2-2-1-1-122-12-12222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1002-2-20022-1-10000001111100-2000-10011-1-10000010
χ2622222-122-1-1222-10000-1-2-2-1-1-122-12-12222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-100-22200-2-21100000011111002000100-1-11100000-10
χ2722222-122-1-1222-10000-1-2-2-1-1-1-2-2-12-12-2-2-2-200220000211-2-222-1-1111111002-2-200-2-2-1-1000000-111-1-1002000-100111100000-10
χ2822222-122-1-1222-10000-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-20000211-2-222-1-111111100-222002211000000-111-1-100-2000100-1-1-1-10000010
χ292222-122222-1-1-122222-122-1-1-1222-12-1-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-122000220000-1-1-1-1-1-12-1-1-1-10002-1-10-1-100000000000
χ302222-122222-1-1-122222-122-1-1-1-2-22-12-111112200-1-1-1-1-222-1-111-1-1-2-2111122000-2-20000-1-11111-2-1-111000-2-1-101100000000000
χ312222-122222-1-1-122222-1-2-2-1-1-1222-12-1-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-2000220000-1-1-1-1-1-1-21111000-21101100000000000
χ322222-122222-1-1-122222-1-2-2-1-1-1-2-22-12-111112200-1-1-1-12-2-211-1-1-1-1-2-21111-2-2000-2-20000-1-11111211-1-10002110-1-100000000000
χ332222-122222-1-1-12-2-2-2-2-122-1-1-1222-12-1-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-1-2-2000-2-200001111112-1-1-1-1000-21101100000000000
χ342222-122222-1-1-12-2-2-2-2-122-1-1-1-2-22-12-11111-2-2001111-222-1-111-1-1-2-21111-2-200022000011-1-1-1-1-2-1-1110002110-1-100000000000
χ352222-122222-1-1-12-2-2-2-2-1-2-2-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-122000-2-20000111111-211110002-1-10-1-100000000000
χ362222-122222-1-1-12-2-2-2-2-1-2-2-1-1-1-2-22-12-11111-2-20011112-2-211-1-1-1-1-2-211112200022000011-1-1-1-1211-1-1000-2-1-101100000000000
χ372-22-2222-2-22-2-22-22i2i−2i−2i2002-2-200-2-22200002i−2i002i2i−2i−2i00000002-20000000002i−2i0000002i−2i0000000000000000002i−2i002-200000
χ382-22-2222-2-22-2-22-22i2i−2i−2i2002-2-200-2-22200002i−2i002i2i−2i−2i00000002-2000000000−2i2i0000002i−2i000000000000000000−2i2i00-2200000
χ392-22-2222-2-22-2-22-2−2i−2i2i2i2002-2-200-2-2220000−2i2i00−2i−2i2i2i00000002-20000000002i−2i000000−2i2i0000000000000000002i−2i00-2200000
χ402-22-2222-2-22-2-22-2−2i−2i2i2i2002-2-200-2-2220000−2i2i00−2i−2i2i2i00000002-2000000000−2i2i000000−2i2i000000000000000000−2i2i002-200000
χ412-22-222-22-22-2-22-22i2i−2i−2i22i−2i2-2-20022-2-20000−2i2i002i2i−2i−2i02i−2i2i−2i00-220000002-2000000000−2i2i000002i−2i0000002-200000000000000
χ422-22-222-22-22-2-22-22i2i−2i−2i2−2i2i2-2-20022-2-20000−2i2i002i2i−2i−2i0−2i2i−2i2i00-22000000-22000000000−2i2i00000−2i2i000000-2200000000000000
χ432-22-222-22-22-2-22-2−2i−2i2i2i22i−2i2-2-20022-2-200002i−2i00−2i−2i2i2i02i−2i2i−2i00-22000000-220000000002i−2i000002i−2i000000-2200000000000000
χ442-22-222-22-22-2-22-2−2i−2i2i2i2−2i2i2-2-20022-2-200002i−2i00−2i−2i2i2i0−2i2i−2i2i00-220000002-20000000002i−2i00000−2i2i0000002-200000000000000
χ452-22-2-12-22-2211-1-22i2i−2i−2i-12i−2i-111002-1-21−i3−i3i3i3−2i2i00−i−iii02i−2i−ii3−31-100−i3−i3i3i32-2000000000i−i33−3−30−ii3−30000-110−i3i300000000000
χ462-22-2-12-22-2211-1-22i2i−2i−2i-12i−2i-111002-1-21i3i3−i3−i3−2i2i00−i−iii02i−2i−ii−331-100i3i3−i3−i32-2000000000i−i−3−3330−ii−330000-110i3−i300000000000
χ472-22-2-12-22-2211-1-22i2i−2i−2i-1−2i2i-111002-1-21−i3−i3i3i3−2i2i00−i−iii0−2i2ii−i−331-100−i3−i3i3i3-22000000000i−i33−3−30i−i−3300001-10i3−i300000000000
χ482-22-2-12-22-2211-1-22i2i−2i−2i-1−2i2i-111002-1-21i3i3−i3−i3−2i2i00−i−iii0−2i2ii−i3−31-100i3i3−i3−i3-22000000000i−i−3−3330i−i3−300001-10−i3i300000000000
χ492-22-2-12-22-2211-1-2−2i−2i2i2i-12i−2i-111002-1-21−i3−i3i3i32i−2i00ii−i−i02i−2i−ii3−31-100−i3−i3i3i3-22000000000−ii−3−3330−ii3−300001-10i3−i300000000000
χ502-22-2-12-22-2211-1-2−2i−2i2i2i-12i−2i-111002-1-21i3i3−i3−i32i−2i00ii−i−i02i−2i−ii−331-100i3i3−i3−i3-22000000000−ii33−3−30−ii−3300001-10−i3i300000000000
χ512-22-2-12-22-2211-1-2−2i−2i2i2i-1−2i2i-111002-1-21−i3−i3i3i32i−2i00ii−i−i0−2i2ii−i−331-100−i3−i3i3i32-2000000000−ii−3−3330i−i−330000-110−i3i300000000000
χ522-22-2-12-22-2211-1-2−2i−2i2i2i-1−2i2i-111002-1-21i3i3−i3−i32i−2i00ii−i−i0−2i2ii−i3−31-100i3i3−i3−i32-2000000000−ii33−3−30i−i3−30000-110i3−i300000000000
χ532-2-2222002-22-2-2-22-22-2200-22-2−i2i20000−i2i2−i2i2002i−2i2-22-2000000000−i2i2−i2i2−i2i200000−i2i22−22i−2i00−i2i2−i2i2000002i−2i0000000002−20002−200
χ542-2-2222002-22-2-2-22-22-2200-22-2−i2i20000−i2i2−i2i200−2i2i2-22-2000000000−i2i2−i2i2−i2i200000−i2i2−22−2i2i00−i2i2−i2i200000−2i2i000000000−22000−2200
χ552-2-2222002-22-2-2-22-22-2200-22-2i2−i20000i2−i2i2−i2002i−2i2-22-2000000000i2−i2i2−i2i2−i200000i2−i2−222i−2i00i2−i2i2−i2000002i−2i000000000−22000−2200
χ562-2-2222002-22-2-2-22-22-2200-22-2i2−i20000i2−i2i2−i200−2i2i2-22-2000000000i2−i2i2−i2i2−i200000i2−i22−2−2i2i00i2−i2i2−i200000−2i2i0000000002−20002−200
χ572-2-2222002-22-2-2-2-22-22200-22-2−i2i20000−i2i2−i2i2002i−2i-22-22000000000−i2i2−i2i2−i2i200000i2−i22−22i−2i00i2−i2i2−i200000−2i2i0000000002−2000−2200
χ582-2-2222002-22-2-2-2-22-22200-22-2−i2i20000−i2i2−i2i200−2i2i-22-22000000000−i2i2−i2i2−i2i200000i2−i2−22−2i2i00i2−i2i2−i2000002i−2i000000000−220002−200
χ592-2-2222002-22-2-2-2-22-22200-22-2i2−i20000i2−i2i2−i2002i−2i-22-22000000000i2−i2i2−i2i2−i200000−i2i2−222i−2i00−i2i2−i2i200000−2i2i000000000−220002−200
χ602-2-2222002-22-2-2-2-22-22200-22-2i2−i20000i2−i2i2−i200−2i2i-22-22000000000i2−i2i2−i2i2−i200000−i2i22−2−2i2i00−i2i2−i2i2000002i−2i0000000002−2000−2200
χ6144444-2-4-4-2-2444-20000-200-2-2-2002-42-400000044000000000002200000000-4000000-2-20000000000000000020000000000000
χ6244444-2-4-4-2-2444-20000-200-2-2-2002-42-4000000-4-400000000000220000000040000002200000000000000000-20000000000000
χ634444-24-4-444-2-2-244444-200-2-2-200-42-420000-4-400-2-2-2-2000000022000000000000000002200000000000000000000000000000
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χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
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χ874-4-444-200-224-4-420000-2002-222i2−2i200002i2−2i22i2−2i2004i−4i0000000000000−i2i2−i2i2−i2i20000000−2222−2i2i00000000000000000000002−20000000
χ884-4-444-200-224-4-420000-2002-222i2−2i200002i2−2i22i2−2i200−4i4i0000000000000−i2i2−i2i2−i2i2000000022−222i−2i0000000000000000000000−220000000
χ894-4-44-24004-4-222-44-44-4-2002-22−2i22i20000i2−i2i2−i20000-22-22000000000−2i22i2i2−i2i2−i200000−2i22i2000000i2−i2i2−i20000000000000000000000000
χ904-4-44-24004-4-222-44-44-4-2002-222i2−2i20000−i2i2−i2i20000-22-220000000002i2−2i2−i2i2−i2i2000002i2−2i2000000−i2i2−i2i20000000000000000000000000
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χ9688-8-8-4-400444-44-40000200-2-22000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ978-88-8-4-48-84-444-4400002002-2-20044-4-400000000000000000002-2000000000000000000000000000000000000000000000000
χ988-8-88-4-400-44-44440000200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ998-8-88-4-400-44-44440000200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000

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