Finite Group Databasebeta

← Group #11868117

Character table — Group #11868117

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222244444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121224242424242424242424242472727272
order12222334444661212121236666666668888121212121212121212122424242424242424661212242424242424242424242424224466668888121212122424242424242424888824242424242424242224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ9111-1-111-1-11111111111-1-11-1-111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ10111-1-111-1-11111111111-1-11-1-111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ11111-1-111-1-11111111111-1-11-1-111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-111111-11-111-1-111-1-1-11-11
χ12111-1-111-1-11111111111-1-11-1-111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111-11-11-1-111-1-1111-11-1
χ13111-1-111-1-11111111111-1-11-1-1111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ14111-1-111-1-11111111111-1-11-1-1111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-1-1-11111-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ15111-1-111-1-11111111111-1-11-1-1111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ16111-1-111-1-11111111111-1-11-1-1111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ172222222-2-2-2-222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-20000000022-2-2000000000000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000
χ182222222-2-2-2-222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-20000000022-2-200000000000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ19222222-122222-1-1-122-1222-1-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-122222-1-1-122-1222-1-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-21111111111110000000000000000
χ21222222-122222-1-1-122-1222-1-1-1-1-1-1-2-2-2-222-1-1-1-1-12-1-111111111-1-1-1-1-2-21111-2-211112222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ22222222-122222-1-1-122-1222-1-1-1-1-1-1-2-2-2-222-1-1-1-1-12-1-111111111-1-1-1-1-2-21111-2-21111-2-2-2-2111122221111-1-1-1-1-1-1-1-10000000000000000
χ23222222-1-2-2-2-22-111-2-2-1222-1-1-1-1-1-10000-2-211111-21133−3−333−3−3-1-1110033−3−30033−3−30000−i3i3−i3i32i−2i2i−2i−i3i3−i3i3−i−iii−i−iii0000000000000000
χ24222222-1-2-2-2-22-111-2-2-1222-1-1-1-1-1-10000-2-211111-21133−3−333−3−3-1-1110033−3−30033−3−30000i3−i3i3−i3−2i2i−2i2ii3−i3i3−i3ii−i−iii−i−i0000000000000000
χ25222222-1-2-2-2-22-111-2-2-1222-1-1-1-1-1-10000-2-211111-211−3−333−3−333-1-11100−3−33300−3−3330000−i3i3−i3i3−2i2i−2i2i−i3i3−i3i3ii−i−iii−i−i0000000000000000
χ26222222-1-2-2-2-22-111-2-2-1222-1-1-1-1-1-10000-2-211111-211−3−333−3−333-1-11100−3−33300−3−3330000i3−i3i3−i32i−2i2i−2ii3−i3i3−i3−i−iii−i−iii0000000000000000
χ2722222-122222-1222-1-1-1-1-1-1222-1-1-12222-1-1222-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ2822222-122222-1222-1-1-1-1-1-1222-1-1-12222-1-1222-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ2922222-122222-1222-1-1-1-1-1-1222-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ3022222-122222-1222-1-1-1-1-1-1222-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ31222-2-22222-2-222-2-2-2-222-2-22-2-2222000022-222-2-2-2-2-200000000-2-222000000000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000
χ32222-2-22222-2-222-2-2-2-222-2-22-2-2222000022-222-2-2-2-2-200000000-2-22200000000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ33222-2-22-122-2-22-111-2-2-12-2-2-111-1-1-10000221-1-111-21133−3−3−3−33311-1-10033−3−300−3−3330000−i3i3i3−i32i−2i−2i2i−i3i3i3−i3−i−iiiii−i−i0000000000000000
χ34222-2-22-122-2-22-111-2-2-12-2-2-111-1-1-10000221-1-111-21133−3−3−3−33311-1-10033−3−300−3−3330000i3−i3−i3i3−2i2i2i−2ii3−i3−i3i3ii−i−i−i−iii0000000000000000
χ35222-2-22-122-2-22-111-2-2-12-2-2-111-1-1-10000221-1-111-211−3−33333−3−311-1-100−3−3330033−3−30000−i3i3i3−i3−2i2i2i−2i−i3i3i3−i3ii−i−i−i−iii0000000000000000
χ36222-2-22-122-2-22-111-2-2-12-2-2-111-1-1-10000221-1-111-211−3−33333−3−311-1-100−3−3330033−3−30000i3−i3−i3i32i−2i−2i2ii3−i3−i3i3−i−iiiii−i−i0000000000000000
χ37222-2-22-1-2-2222-1-1-122-12-2-2-111-1-1-122-2-2-2-2-111-1-12-1-1-1-1-1-11111111122-1-1-1-1-2-211112-22-2-1-11122-2-2-1-111-1-1-1-111110000000000000000
χ38222-2-22-1-2-2222-1-1-122-12-2-2-111-1-1-122-2-2-2-2-111-1-12-1-1-1-1-1-11111111122-1-1-1-1-2-21111-22-2211-1-1-2-22211-1-11111-1-1-1-10000000000000000
χ39222-2-22-1-2-2222-1-1-122-12-2-2-111-1-1-1-2-222-2-2-111-1-12-1-11111-1-1-1-11111-2-2111122-1-1-1-12-22-2-1-111-2-222-1-1111111-1-1-1-10000000000000000
χ40222-2-22-1-2-2222-1-1-122-12-2-2-111-1-1-1-2-222-2-2-111-1-12-1-11111-1-1-1-11111-2-2111122-1-1-1-1-22-2211-1-122-2-211-1-1-1-1-1-111110000000000000000
χ41222-2-2-12-2-222-1222-1-1-1-1112-2-2-1-1-122-2-2112-2-2-1-1-1-1-12222-2-2-2-21111-1-1-1-1-1-11111110000000000000000000000002-22-2-1-111-1-1110000
χ42222-2-2-12-2-222-1222-1-1-1-1112-2-2-1-1-122-2-2112-2-2-1-1-1-1-12222-2-2-2-21111-1-1-1-1-1-1111111000000000000000000000000-22-2211-1-111-1-10000
χ43222-2-2-12-2-222-1222-1-1-1-1112-2-2-1-1-1-2-222112-2-2-1-1-1-1-1-2-2-2-222221111111111-1-1-1-1-1-10000000000000000000000002-2-22-1-11111-1-10000
χ44222-2-2-12-2-222-1222-1-1-1-1112-2-2-1-1-1-2-222112-2-2-1-1-1-1-1-2-2-2-222221111111111-1-1-1-1-1-1000000000000000000000000-222-211-1-1-1-1110000
χ4522-22-2222-22-22222-2-22-22-2-22-2-2-222-22-22-2-22-2-2-22222-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000000000000000
χ4622-22-2222-22-22222-2-22-22-2-22-2-2-22-22-222-2-22-2-2-2222-22-22-22-222-22-2-22-22-22-22-22-220000000000000000000000000000000000000000
χ4722-22-222-22-2222-2-2222-22-2-22-2-2-220000-222-2222-2-2-2000000002-2-2200000000000022-2-222220000-2-2-2-2000000000000000000000000
χ4822-22-222-22-2222-2-2222-22-2-22-2-2-220000-222-2222-2-2-2000000002-2-22000000000000-2-222-2-2-2-200002222000000000000000000000000
χ4922-22-22-12-22-22-1-1-1-2-2-1-22-21-1111-12-22-22-21-11112-1-1-11-11-11-11-11-112-2-11-112-2-11-110000−i3i3−i3i30000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ5022-22-22-12-22-22-1-1-1-2-2-1-22-21-1111-12-22-22-21-11112-1-1-11-11-11-11-11-112-2-11-112-2-11-110000i3−i3i3−i30000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ5122-22-22-12-22-22-1-1-1-2-2-1-22-21-1111-1-22-222-21-11112-1-11-11-11-11-1-11-11-221-11-1-221-11-10000−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ5222-22-22-12-22-22-1-1-1-2-2-1-22-21-1111-1-22-222-21-11112-1-11-11-11-11-1-11-11-221-11-1-221-11-10000i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ5322-22-22-1-22-222-11122-1-22-21-1111-10000-22-11-1-1-1-2113−3−333−3−33-111-1003−3−33003−3−3322-2-2-1-1-1-1000011113−3−333−3−330000000000000000
χ5422-22-22-1-22-222-11122-1-22-21-1111-10000-22-11-1-1-1-2113−3−333−3−33-111-1003−3−33003−3−33-2-22211110000-1-1-1-1−333−3−333−30000000000000000
χ5522-22-22-1-22-222-11122-1-22-21-1111-10000-22-11-1-1-1-211−333−3−333−3-111-100−333−300−333−322-2-2-1-1-1-100001111−333−3−333−30000000000000000
χ5622-22-22-1-22-222-11122-1-22-21-1111-10000-22-11-1-1-1-211−333−3−333−3-111-100−333−300−333−3-2-22211110000-1-1-1-13−3−333−3−330000000000000000
χ5722-22-2-122-22-2-122211-11-11-22-211-12-22-2-11-22-211-1-1-12-22-22-22-2-11-11-11-11-11-11-11-1100000000000000000000000000003−33−33−33−30000
χ5822-22-2-122-22-2-122211-11-11-22-211-12-22-2-11-22-211-1-1-12-22-22-22-2-11-11-11-11-11-11-11-110000000000000000000000000000−33−33−33−330000
χ5922-22-2-122-22-2-122211-11-11-22-211-1-22-22-11-22-211-1-1-1-22-22-22-22-11-111-11-11-11-11-11-100000000000000000000000000003−33−3−33−330000
χ6022-22-2-122-22-2-122211-11-11-22-211-1-22-22-11-22-211-1-1-1-22-22-22-22-11-111-11-11-11-11-11-10000000000000000000000000000−33−333−33−30000
χ6122-2-22222-2-2222-2-2222-2-22-2-22-2-2200002-222-222-2-2-200000000-222-20000000000002-2-2222-2-20000-2-222000000000000000000000000
χ6222-2-22222-2-2222-2-2222-2-22-2-22-2-2200002-222-222-2-2-200000000-222-2000000000000-222-2-2-222000022-2-2000000000000000000000000
χ6322-2-2222-222-22222-2-22-2-22-2-22-2-222-2-22-22-2-22-2-22222-22-2-22-22-22-222-22-22-2-22-22-220000000000000000000000000000000000000000
χ6422-2-2222-222-22222-2-22-2-22-2-22-2-22-222-2-22-2-22-2-2222-22-222-22-2-22-22-22-22-222-22-22-20000000000000000000000000000000000000000
χ6522-2-222-12-2-222-11122-1-2-2211-111-100002-2-1-11-1-1-2113−3−33−333−31-1-11003−3−3300−333−32-2-22-1-111000011-1-13−3−33−333−30000000000000000
χ6622-2-222-12-2-222-11122-1-2-2211-111-100002-2-1-11-1-1-2113−3−33−333−31-1-11003−3−3300−333−3-222-211-1-10000-1-111−333−33−3−330000000000000000
χ6722-2-222-12-2-222-11122-1-2-2211-111-100002-2-1-11-1-1-211−333−33−3−331-1-1100−333−3003−3−332-2-22-1-111000011-1-1−333−33−3−330000000000000000
χ6822-2-222-12-2-222-11122-1-2-2211-111-100002-2-1-11-1-1-211−333−33−3−331-1-1100−333−3003−3−33-222-211-1-10000-1-1113−3−33−333−30000000000000000
χ6922-2-222-1-222-22-1-1-1-2-2-1-2-2211-111-12-2-22-2211-1112-1-1-11-111-11-11-11-12-2-11-11-221-11-10000−i3i3i3−i30000i3−i3−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ7022-2-222-1-222-22-1-1-1-2-2-1-2-2211-111-12-2-22-2211-1112-1-1-11-111-11-11-11-12-2-11-11-221-11-10000i3−i3−i3i30000−i3i3i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ7122-2-222-1-222-22-1-1-1-2-2-1-2-2211-111-1-222-2-2211-1112-1-11-11-1-11-111-11-1-221-11-12-2-11-110000−i3i3i3−i30000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ7222-2-222-1-222-22-1-1-1-2-2-1-2-2211-111-1-222-2-2211-1112-1-11-11-1-11-111-11-1-221-11-12-2-11-110000i3−i3−i3i30000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ7322-2-22-12-222-2-122211-111-1-2-2211-12-2-221-1-2-2211-1-1-12-22-2-22-221-11-1-11-11-111-11-11-100000000000000000000000000003−3−333−3−330000
χ7422-2-22-12-222-2-122211-111-1-2-2211-12-2-221-1-2-2211-1-1-12-22-2-22-221-11-1-11-11-111-11-11-10000000000000000000000000000−333−3−333−30000
χ7522-2-22-12-222-2-122211-111-1-2-2211-1-222-21-1-2-2211-1-1-1-22-222-22-21-11-11-11-11-1-11-11-1100000000000000000000000000003−3−33−333−30000
χ7622-2-22-12-222-2-122211-111-1-2-2211-1-222-21-1-2-2211-1-1-1-22-222-22-21-11-11-11-11-1-11-11-110000000000000000000000000000−333−33−3−330000
χ7744444-24-4-4-4-4-24-4-422-2-2-2-2444-2-2-2000022-4-4-42222200000000-2-2220000000000000000000000000000000000000000000000000000
χ7844444-2-24444-2-2-2-2-2-21-2-2-2-2-2-21114444-2-2-2-2-211-211-2-2-2-2-2-2-2-21111-2-21111-2-211110000000000000000000000000000000000000000
χ7944444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-4-4-4-4-2-2-2-2-211-21122222222111122-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ8044444-2-2-4-4-4-4-2-222221-2-2-2-2-2-2111000022222-1-12-1-12323−23−232323−23−2311-1-100−3−33300−3−3330000000000000000000000000000000000000000
χ8144444-2-2-4-4-4-4-2-222221-2-2-2-2-2-2111000022222-1-12-1-1−23−232323−23−23232311-1-10033−3−30033−3−30000000000000000000000000000000000000000
χ82444-4-4-2444-4-4-24-4-422-2-2224-4-4-2-2-20000-2-2-444222220000000022-2-20000000000000000000000000000000000000000000000000000
χ83444-4-4-2-244-4-4-2-222221-222-2221110000-2-22-2-2-1-12-1-12323−23−23−23−232323-1-11100−3−3330033−3−30000000000000000000000000000000000000000
χ84444-4-4-2-244-4-4-2-222221-222-2221110000-2-22-2-2-1-12-1-1−23−2323232323−23−23-1-1110033−3−300−3−3330000000000000000000000000000000000000000
χ85444-4-4-2-2-4-444-2-2-2-2-2-21-222-22211144-4-422-22211-211-2-2-2-22222-1-1-1-1-2-2111122-1-1-1-10000000000000000000000000000000000000000
χ86444-4-4-2-2-4-444-2-2-2-2-2-21-222-222111-4-44422-22211-2112222-2-2-2-2-1-1-1-122-1-1-1-1-2-211110000000000000000000000000000000000000000
χ8744-44-4-24-44-44-24-4-4-2-2-22-22-44-422-200002-24-44-2-222200000000-222-20000000000000000000000000000000000000000000000000000
χ8844-44-4-2-24-44-4-2-2-2-22212-222-22-1-114-44-4-222-22-1-1-211-22-22-22-221-11-1-221-11-1-221-11-10000000000000000000000000000000000000000
χ8944-44-4-2-24-44-4-2-2-2-22212-222-22-1-11-44-44-222-22-1-1-2112-22-22-22-21-11-12-2-11-112-2-11-110000000000000000000000000000000000000000
χ9044-44-4-2-2-44-44-2-222-2-212-222-22-1-1100002-2-22-2112-1-123−23−232323−23−23231-1-1100−333−300−333−30000000000000000000000000000000000000000
χ9144-44-4-2-2-44-44-2-222-2-212-222-22-1-1100002-2-22-2112-1-1−232323−23−232323−231-1-11003−3−33003−3−330000000000000000000000000000000000000000
χ9244-4-44-244-4-44-24-4-4-2-2-222-2-4-4422-20000-2244-4-2-2222000000002-2-220000000000000000000000000000000000000000000000000000
χ9344-4-44-2-24-4-44-2-222-2-2122-222-2-1-110000-22-2-22112-1-123−23−2323−232323−23-111-100−333−3003−3−330000000000000000000000000000000000000000
χ9444-4-44-2-24-4-44-2-222-2-2122-222-2-1-110000-22-2-22112-1-1−232323−2323−23−2323-111-1003−3−3300−333−30000000000000000000000000000000000000000
χ9544-4-44-2-2-444-4-2-2-2-222122-222-2-1-114-4-442-222-2-1-1-211-22-222-22-2-11-11-221-11-12-2-11-110000000000000000000000000000000000000000
χ9644-4-44-2-2-444-4-2-2-2-222122-222-2-1-11-444-42-222-2-1-1-2112-22-2-22-22-11-112-2-11-11-221-11-10000000000000000000000000000000000000000
χ978-8000880000-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-80008-40000-8443−4300-400000000400000000000043−430000000000000000000000000000000000000000000000000000000000000000
χ998-80008-40000-84−434300-4000000004000000000000−43430000000000000000000000000000000000000000000000000000000000000000
χ1008-8000-4800004-80043−43-400000000400000000043−430000000000000000000000000000000000000000000000000000000000000000000
χ1018-8000-4800004-800−4343-4000000004000000000−43430000000000000000000000000000000000000000000000000000000000000000000
χ1028-8000-4-400004443−4343−4320000006-6-2000000000−23230−23230000000000000000000000000000000000000000000000000000000000000000
χ1038-8000-4-400004443−43−43432000000-66-200000000023−230−23230000000000000000000000000000000000000000000000000000000000000000
χ1048-8000-4-4000044−434343−432000000-66-2000000000−2323023−230000000000000000000000000000000000000000000000000000000000000000
χ1058-8000-4-4000044−4343−434320000006-6-200000000023−23023−230000000000000000000000000000000000000000000000000000000000000000

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