Finite Group Databasebeta

← Group #11887407

Character table — Group #11887407

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order12222233446666666666344466666666612121212121212121212444488884121212121212121212121212121212121212122224881212121224242424242424242246666666121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-111-111-1-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-111111111111111-1-1-1-1111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-11-1-1-1-1-1-11-1-11111-1-1
χ61111111111111111111111-1-111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111111-1-1-1-1-1-111
χ71111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-11-111-1-1-1-1-111-1-1-1-111
χ81111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-1111111-1-1
χ91111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-1111111111-1-11111-111-1-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-1111-1
χ101111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-111-11111-1-1-11
χ111111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-1-1111111-111-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-11-1-1-11111-1-11-1-111-1-1-11
χ121111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-1-111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-111-1-1111-1-1-1-1111-1
χ131111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-1111-1-111111-1-111-11111-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-111-1111-1-111-1-1-1-1-111-11
χ141111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-1111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-11111111-11111-1-1-1-1-1-111111-1-111111-1-1-1-1-111-1-11-1
χ151111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-11-1-11111111-1-111-11111-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-1-1-1-1-111-1-1-1-1-11111111-1-11-1
χ161111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-11-1-111-1-1-1-11-1-111-11111-1-1-1-1-1-11111-111111-1-111-1-1-1-11111-1-11-1-1-111-1-1111-1-111-11
χ1722222222-2-222222222222-200222222222-2-2-2-2-20000-22222000000000-200-2-2-2-200000000-200-200222200000000000-2000000-200000000
χ1822222222-2-222222222222-200222222222-2-2-2-2-20000-2-2-2-2-2000000000-200-2-2-2-200000000200200-2-2-2-2000000000002000000200000000
χ192222222-122-1-1-1-1-1-1-1222-122222-1-1-1-1-1-1-1-1-1-1222222-1000022222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10220220000-1-1-1-1-1-1-1-1020000-1-1-1-1000000000
χ202222222-122-1-1-1-1-1-1-1222-122222-1-1-1-1-1-1-1-1-1-1222222-10000-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000111111110-200001111000000000
χ212222222-122-1-1-1-1-1-1-1222-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-100002222-211112-2-2-1-1-1-1111111110-2-20220000-1-1-1-1-1-1-1-10-200001111000000000
χ222222222-122-1-1-1-1-1-1-1222-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-10000-2-2-2-2-211112-2-2-1-1-1-1111111110220-2-2000011111111020000-1-1-1-1000000000
χ23222222-12222222222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122222000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1200200-1-1-1-100000000202-1-1-10000-1-1-1000000
χ24222222-12222222222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-200111100000000-20-21110000111000000
χ25222222-12222222222-1-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-11111222220000-2-2-2-2-2-111-1-1-1-111111111200200-1-1-1-100000000-20-2-1110000-111000000
χ26222222-12222222222-1-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-20000-2-2-2-2-2-111-1-1-1-111111111-200-2001111000000002021-1-100001-1-1000000
χ27222222-12-2-22222222-1-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-222220000000001−i3i31111−i3−i3i3i3−i3−i3i3i3-200-200-1-1-1-1000000000001−i3i300001−i3i3000000
χ28222222-12-2-22222222-1-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2-2-2-2-20000000001−i3i31111−i3−i3i3i3−i3−i3i3i3200200111100000000000-1i3−i30000-1i3−i3000000
χ29222222-12-2-22222222-1-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-222220000000001i3−i31111i3i3−i3−i3i3i3−i3−i3-200-200-1-1-1-1000000000001i3−i300001i3−i3000000
χ30222222-12-2-22222222-1-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2-2-2-2-20000000001i3−i31111i3i3−i3−i3i3i3−i3−i3200200111100000000000-1−i3i30000-1−i3i3000000
χ312222-2-222-2-22-2-2-2-2222222200-2-22-2-2-2-222-222-2-20000-222-2-2000000000200-2-22200000000-20020022-2-200000000000-2000000200000000
χ322222-2-222-2-22-2-2-2-2222222200-2-22-2-2-2-222-222-2-20000-2-2-222000000000200-2-22200000000200-200-2-222000000000002000000-200000000
χ332222-2-22-122-11111-1-1222-1-222-2-2-11111-1-1-111222222-100002222-2-1-111-2-2-2-1-111-1-1-1-111110220-2-20000-1-1-1-111110-20000-1-111000000000
χ342222-2-22-122-11111-1-1222-1-222-2-2-11111-1-1-111222222-10000-2-2-2-2-2-1-111-2-2-2-1-111-1-1-1-111110-2-202200001111-1-1-1-102000011-1-1000000000
χ352222-2-22-122-11111-1-1222-1-2-2-2-2-2-11111-1-1-11122-2-2-2-2-100002222211-1-1-222-1-1111111-1-1-1-10-2-20-2-20000-1-1-1-1111102000011-1-1000000000
χ362222-2-22-122-11111-1-1222-1-2-2-2-2-2-11111-1-1-11122-2-2-2-2-10000-2-2-2-2211-1-1-222-1-1111111-1-1-1-102202200001111-1-1-1-10-20000-1-111000000000
χ372222-2-2-12222-2-2-2-222-1-1-1-1-22211-11111-1-12-2-2-1-1-1-1-1-1222-2-20000-222-2-2111-1-111-1-1-1-11111200-200-1-11100000000-202-11100001-1-1000000
χ382222-2-2-12222-2-2-2-222-1-1-1-1-22211-11111-1-12-2-2-1-1-1-1-1-12-2-2220000-222-2-2111-1-111-1-1-1-11111-20020011-1-10000000020-21-1-10000-111000000
χ392222-2-2-12222-2-2-2-222-1-1-1-1-2-2-211-11111-1-12-2-2-1-11111222-2-200002-2-2221-1-1-1-1111111-1-1-1-1200-200-1-1110000000020-2-1-1-10000111000000
χ402222-2-2-12222-2-2-2-222-1-1-1-1-2-2-211-11111-1-12-2-2-1-111112-2-22200002-2-2221-1-1-1-1111111-1-1-1-1-20020011-1-100000000-2021110000-1-1-1000000
χ412222-2-2-12-2-22-2-2-2-222-1-1-1-120011-11111-1-1-22211−i3−i3i3i3-222-2-2000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-200200-1-111000000000001i3−i30000-1−i3i3000000
χ422222-2-2-12-2-22-2-2-2-222-1-1-1-120011-11111-1-1-22211−i3−i3i3i3-2-2-222000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3200-20011-1-100000000000-1−i3i300001i3−i3000000
χ432222-2-2-12-2-22-2-2-2-222-1-1-1-120011-11111-1-1-22211i3i3−i3−i3-222-2-2000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-200200-1-111000000000001−i3i30000-1i3−i3000000
χ442222-2-2-12-2-22-2-2-2-222-1-1-1-120011-11111-1-1-22211i3i3−i3−i3-2-2-222000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3200-20011-1-100000000000-1i3−i300001−i3i3000000
χ4522-2-22-22200222-2-2-2-2-2-2220002-2222-2-2-2-200000000002i−2i2i−2i−i2−i2i2i2000000000000000000000000−i2i22i−2i2i−2i−i2−i2i2i2−i2−i2i2i200000000000002−22−200
χ4622-2-22-22200222-2-2-2-2-2-2220002-2222-2-2-2-200000000002i−2i2i−2ii2i2−i2−i2000000000000000000000000i2−i22i−2i2i−2ii2i2−i2−i2i2i2−i2−i20000000000000−22−2200
χ4722-2-22-22200222-2-2-2-2-2-2220002-2222-2-2-2-20000000000−2i2i−2i2i−i2−i2i2i2000000000000000000000000−i2i2−2i2i−2i2i−i2−i2i2i2−i2−i2i2i20000000000000−22−2200
χ4822-2-22-22200222-2-2-2-2-2-2220002-2222-2-2-2-20000000000−2i2i−2i2ii2i2−i2−i2000000000000000000000000i2−i2−2i2i−2i2ii2i2−i2−i2i2i2−i2−i200000000000002−22−200
χ4922-2-2-2222002-2-222-2-2-2-222000-222-2-222-2-200000000002i−2i−2i2i−i2−i2i2i2000000000000000000000000i2−i22i−2i−2i2i−i2−i2i2i2i2i2−i2−i20000000000000−222−200
χ5022-2-2-2222002-2-222-2-2-2-222000-222-2-222-2-200000000002i−2i−2i2ii2i2−i2−i2000000000000000000000000−i2i22i−2i−2i2ii2i2−i2−i2−i2−i2i2i200000000000002−2−2200
χ5122-2-2-2222002-2-222-2-2-2-222000-222-2-222-2-20000000000−2i2i2i−2i−i2−i2i2i2000000000000000000000000i2−i2−2i2i2i−2i−i2−i2i2i2i2i2−i2−i200000000000002−2−2200
χ5222-2-2-2222002-2-222-2-2-2-222000-222-2-222-2-20000000000−2i2i2i−2ii2i2−i2−i2000000000000000000000000−i2i2−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20000000000000−222−200
χ532-22-200222-2-200002-22-2-2202i−2i00-200002-22002-22i−2i2i−2i-200002i−2i2i−2i02i−2i000002-2002i−2i2i−2i000002-200000002i−2i2i−2i00000000002-200000000000
χ542-22-200222-2-200002-22-2-2202i−2i00-200002-22002-22i−2i2i−2i-20000−2i2i−2i2i02i−2i000002-2002i−2i2i−2i00000-220000000−2i2i−2i2i0000000000-2200000000000
χ552-22-200222-2-200002-22-2-220−2i2i00-200002-22002-2−2i2i−2i2i-200002i−2i2i−2i0−2i2i000002-200−2i2i−2i2i00000-2200000002i−2i2i−2i0000000000-2200000000000
χ562-22-200222-2-200002-22-2-220−2i2i00-200002-22002-2−2i2i−2i2i-20000−2i2i−2i2i0−2i2i000002-200−2i2i−2i2i000002-20000000−2i2i−2i2i00000000002-200000000000
χ572-22-2002-12-21−i3i3−i3i3-112-2-2-102i−2i001−i3i3−i3i3-11-1−i3i32-22i−2i2i−2i100002i−2i2i−2i0−ii3−3000-11−i3i3−ii−ii3−33−302-20000000−ii−ii3−33−3000000-11−i3i3000000000
χ582-22-2002-12-21−i3i3−i3i3-112-2-2-102i−2i001−i3i3−i3i3-11-1−i3i32-22i−2i2i−2i10000−2i2i−2i2i0−ii3−3000-11−i3i3−ii−ii3−33−30-220000000i−ii−i−33−330000001-1i3−i3000000000
χ592-22-2002-12-21−i3i3−i3i3-112-2-2-10−2i2i001−i3i3−i3i3-11-1−i3i32-2−2i2i−2i2i100002i−2i2i−2i0i−i−33000-11−i3i3i−ii−i−33−330-220000000−ii−ii3−33−30000001-1i3−i3000000000
χ602-22-2002-12-21−i3i3−i3i3-112-2-2-10−2i2i001−i3i3−i3i3-11-1−i3i32-2−2i2i−2i2i10000−2i2i−2i2i0i−i−33000-11−i3i3i−ii−i−33−3302-20000000i−ii−i−33−33000000-11−i3i3000000000
χ612-22-2002-12-21i3−i3i3−i3-112-2-2-102i−2i001i3−i3i3−i3-11-1i3−i32-22i−2i2i−2i100002i−2i2i−2i0−ii−33000-11i3−i3−ii−ii−33−3302-20000000−ii−ii−33−33000000-11i3−i3000000000
χ622-22-2002-12-21i3−i3i3−i3-112-2-2-102i−2i001i3−i3i3−i3-11-1i3−i32-22i−2i2i−2i10000−2i2i−2i2i0−ii−33000-11i3−i3−ii−ii−33−330-220000000i−ii−i3−33−30000001-1−i3i3000000000
χ632-22-2002-12-21i3−i3i3−i3-112-2-2-10−2i2i001i3−i3i3−i3-11-1i3−i32-2−2i2i−2i2i100002i−2i2i−2i0i−i3−3000-11i3−i3i−ii−i3−33−30-220000000−ii−ii−33−330000001-1−i3i3000000000
χ642-22-2002-12-21i3−i3i3−i3-112-2-2-10−2i2i001i3−i3i3−i3-11-1i3−i32-2−2i2i−2i2i10000−2i2i−2i2i0i−i3−3000-11i3−i3i−ii−i3−33−302-20000000i−ii−i3−33−3000000-11i3−i3000000000
χ654444444-2-4-4-2-2-2-2-2-2-2444-2-40044-2-2-2-2-2-2-2222-4-4000020000000000000-4002222000000000000000000000000000000000000000000000
χ66444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ67444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-22222-200000000-42222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ68444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-2111111122222−2i3−2i32i32i3200000000000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000
χ69444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-21111111222222i32i3−2i3−2i32000000000000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000
χ704444-4-44-2-4-4-22222-2-2444-2400-4-4-22222-2-22-2-2-4-400002000000000000040022-2-2000000000000000000000000000000000000000000000
χ714444-4-4-2-244-22222-2-2-2-2-21-444221-1-1-1-111-222-2-2-2-2-2-2-200000000-4-2-22222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ724444-4-4-2-244-22222-2-2-2-2-21-4-4-4221-1-1-1-111-222-2-22222-200000000422-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ734444-4-4-2-2-4-4-22222-2-2-2-2-21400221-1-1-1-1112-2-222−2i3−2i32i32i320000000000000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000
χ744444-4-4-2-2-4-4-22222-2-2-2-2-21400221-1-1-1-1112-2-2222i32i3−2i3−2i320000000000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000
χ7544-4-44-44-200-2-2-22222-4-44-20004-4-2-2-2222200000000000000−2i2−2i22i22i2000000000000000000000000−2i22i20000i2i2−i2−i2i2i2−i2−i20000000000000000000
χ7644-4-44-44-200-2-2-22222-4-44-20004-4-2-2-22222000000000000002i22i2−2i2−2i20000000000000000000000002i2−2i20000−i2−i2i2i2−i2−i2i2i20000000000000000000
χ7744-4-44-4-2400444-4-4-4-422-2-2000-22-2-2-2222200000000004i−4i4i−4i000000000000000000000000000000−2i2i−2i2i000000000000000000000000000
χ7844-4-44-4-2400444-4-4-4-422-2-2000-22-2-2-222220000000000−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i000000000000000000000000000
χ7944-4-4-444-200-222-2-222-4-44-2000-44-222-2-22200000000000000−2i2−2i22i22i20000000000000000000000002i2−2i20000i2i2−i2−i2−i2−i2i2i20000000000000000000
χ8044-4-4-444-200-222-2-222-4-44-2000-44-222-2-222000000000000002i22i2−2i2−2i2000000000000000000000000−2i22i20000−i2−i2i2i2i2i2−i2−i20000000000000000000
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χ8244-4-4-44-24004-4-444-4-422-2-20002-2-222-2-2220000000000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i000000000000000000000000000
χ834-44-40044-44-400004-44-4-4400000-400004-4-400-44000040000000000000000-4400000000000000000000000000000000000000000000000
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χ934-44-400-2-24-422i3−2i32i3−2i3-22-22210−4i4i00-1−i3i3−i3i31-1-22i3−2i3-222i−2i2i−2i20000000002i−2i23−230001-1−i3i3−ii−ii−33−330000000000000000000000000000000000000
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χ974-44-400-2-2-4422i3−2i32i3−2i3-22-222100000-1−i3i3−i3i31-12−2i32i32-2−232323−23-20000000000000000-11i3−i33−3−33−3i3i3i−3i0000000000000000000000000000000000000
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χ994-4-44004400-40000-44-44-4400000-40000-4400000000000000−222222−22000000000000000000000000000000−222222−2200000000000000000000000
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χ1014-4-44004-2002−2i32i32i3−2i32-2-44-4-2000002−2i32i32i3−2i32-200000000000000−222222−220000000000000000000000000000002−2−22i6−i6−i6i60000000000000000000
χ1024-4-44004-20022i3−2i3−2i32i32-2-44-4-20000022i3−2i3−2i32i32-20000000000000022−22−2222000000000000000000000000000000−222−2i6−i6−i6i60000000000000000000
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χ10488-8-88-8-4-400-4-4-4444444-42000-44222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1068-8-8800-4800-80000-884-44-400000400004-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8800-4-4004−4i34i34i3−4i34-44-44200000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8800-4-40044i3−4i3−4i34i34-44-44200000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000000000000

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