Finite Group Databasebeta

← Group #11887145

Character table — Group #11887145

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666634466688121212122424242422446666888826612121212121224242424242422448812121212242424246661212222446612121212122424488644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-111111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-111-1-1-1111-1-111-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-111-1-111111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111-1-11-11-1-1-1-1-11111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-11-1-111-1-11111-1-1-111-1-1-11-111111-1-1-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-111111-1-111-1-1-1-1-1111-1-11-11
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1111-1-1111-1-1-1-1-1-11-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-1-1-1111-1-1-1-1-11-111-111-1-111-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11-11-1-11-1-111-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-111-1-1-11111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222222200000000000-2-200000000-2-20022-2-20000000002200000-2000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2222200000000000-2-200000000-2200-2-2-2-2000000000-2-2000002000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-200000000000-2-2000000002-2002222000000000-2-200000-2000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-2000000002200-2-22200000000022000002000000-200000
χ2122222-122-12-122-1-122-1-1-122-12-12-1-1-1-12200-1-1-1-122222-1-122-1-1-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-100002-1-1000-1-100000000
χ2222222-122-12-122-1-122-1-1-122-12-12-1-1-1-1-2-2001111-2-2-2-22-1-122-1-1-1-122-1-1-1-1-2-2-2000001111112-1-1-1-10000-2110001100000000
χ2322222-122-12-122-1-122-1-1-1-2-2-12-1211112200-1-1-1-1-2-2-2-2-21122-1-1-1-1-2-21111-2-2200000-1-11111-211-1-10000211000-1-100000000
χ2422222-122-12-122-1-122-1-1-1-2-2-12-121111-2-20011112222-21122-1-1-1-1-2-2111122-20000011-1-1-1-1-211-1-10000-2-1-10001100000000
χ2522222-122-12-122-1-1-2-2-1-1-122-12-12-1-1-1-12200-1-1-1-12222-211-2-211-1-122-1-1-1-1-2-2200000-1-1-1-1-1-1-211110000-2110001100000000
χ2622222-122-12-122-1-1-2-2-1-1-122-12-12-1-1-1-1-2-2001111-2-2-2-2-211-2-211-1-122-1-1-1-122-200000111111-2111100002-1-1000-1-100000000
χ2722222-122-12-122-1-1-2-2-1-1-1-2-2-12-1211112200-1-1-1-1-2-2-2-22-1-1-2-211-1-1-2-2111122200000-1-111112-1-1110000-2-1-10001100000000
χ2822222-122-12-122-1-1-2-2-1-1-1-2-2-12-121111-2-200111122222-1-1-2-211-1-1-2-21111-2-2-20000011-1-1-1-12-1-1110000211000-1-100000000
χ292222-12222-12-1-12-122-1-1-1222-12-12222002200000000222-1-122-1-1-1-1-1-1-1-1000222-1-1000000-1-1-1-1-10022000-1-1-100-1-1000-100
χ302222-12222-12-1-12-122-1-1-1222-12-1222200-2-200000000222-1-122-1-1-1-1-1-1-1-1000-2-2-211000000-1-1-1-1-100-2-20001110011000100
χ312222-12222-12-1-12-122-1-1-1-2-22-12-1-2-2-2-2002200000000-2-2-2-1-122-1-11111110002-2-2-1-1000000111-1-100-22000-1-1-10011000100
χ322222-12222-12-1-12-122-1-1-1-2-22-12-1-2-2-2-200-2-200000000-2-2-2-1-122-1-1111111000-22211000000111-1-1002-200011100-1-1000-100
χ332222-12222-12-1-12-1-2-2-1-1-1222-12-12222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-1000222-1-10000001111100-2-2000-11100-1-1000100
χ342222-12222-12-1-12-1-2-2-1-1-1222-12-1222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-2-2-2110000001111100220001-1-10011000-100
χ352222-12222-12-1-12-1-2-2-1-1-1-2-22-12-1-2-2-2-200220000000022211-2-2-1-11111110002-2-2-1-1000000-1-1-111002-2000-1110011000-100
χ362222-12222-12-1-12-1-2-2-1-1-1-2-22-12-1-2-2-2-200-2-20000000022211-2-2-1-1111111000-22211000000-1-1-11100-220001-1-100-1-1000100
χ3722-2-222-22-2-22-22-222i−2i-22-20022-2-20000000000002i2i−2i−2i0002i−2i2i−2i2-20000002-2000000002i2i−2i−2i0002i−2i000002-20000000000000
χ3822-2-222-22-2-22-22-222i−2i-22-20022-2-2000000000000−2i−2i2i2i0002i−2i2i−2i2-2000000-2200000000−2i−2i2i2i0002i−2i00000-220000000000000
χ3922-2-222-22-2-22-22-22−2i2i-22-20022-2-20000000000002i2i−2i−2i000−2i2i−2i2i2-2000000-22000000002i2i−2i−2i000−2i2i00000-220000000000000
χ4022-2-222-22-2-22-22-22−2i2i-22-20022-2-2000000000000−2i−2i2i2i000−2i2i−2i2i2-20000002-200000000−2i−2i2i2i000−2i2i000002-20000000000000
χ4122-2-22-1-221-2-1-221-12i−2i1-1100-121-233−3−30000−i3−i3i3i32i2i−2i−2i0−i3i32i−2i−ii-110033−3−32-2000000−i3i3−i−iii0−i3i3−ii00000-110003−300000000
χ4222-2-22-1-221-2-1-221-12i−2i1-1100-121-233−3−30000i3i3−i3−i3−2i−2i2i2i0−i3i32i−2i−ii-110033−3−3-22000000i3−i3ii−i−i0−i3i3−ii000001-1000−3300000000
χ4322-2-22-1-221-2-1-221-12i−2i1-1100-121-2−3−3330000−i3−i3i3i3−2i−2i2i2i0i3−i32i−2i−ii-1100−3−333-22000000−i3i3ii−i−i0i3−i3−ii000001-10003−300000000
χ4422-2-22-1-221-2-1-221-12i−2i1-1100-121-2−3−3330000i3i3−i3−i32i2i−2i−2i0i3−i32i−2i−ii-1100−3−3332-2000000i3−i3−i−iii0i3−i3−ii00000-11000−3300000000
χ4522-2-22-1-221-2-1-221-1−2i2i1-1100-121-233−3−30000−i3−i3i3i32i2i−2i−2i0i3−i3−2i2ii−i-110033−3−3-22000000−i3i3−i−iii0i3−i3i−i000001-1000−3300000000
χ4622-2-22-1-221-2-1-221-1−2i2i1-1100-121-233−3−30000i3i3−i3−i3−2i−2i2i2i0i3−i3−2i2ii−i-110033−3−32-2000000i3−i3ii−i−i0i3−i3i−i00000-110003−300000000
χ4722-2-22-1-221-2-1-221-1−2i2i1-1100-121-2−3−3330000−i3−i3i3i3−2i−2i2i2i0−i3i3−2i2ii−i-1100−3−3332-2000000−i3i3ii−i−i0−i3i3i−i00000-11000−3300000000
χ4822-2-22-1-221-2-1-221-1−2i2i1-1100-121-2−3−3330000i3i3−i3−i32i2i−2i−2i0−i3i3−2i2ii−i-1100−3−333-22000000i3−i3−i−iii0−i3i3i−i000001-10003−300000000
χ492-22-2220022-2-2-2-22002-2-2−i2i20000−i2i2−i2i22-22-22-22-2−i2i2−i2i2000000000−i2i2−i2i2−i2i20000−i2i22-200−i2i2−i2i2000002-20000000000−i2i20−i2i2000
χ502-22-2220022-2-2-2-22002-2-2−i2i20000−i2i2−i2i22-2-222-22-2−i2i2−i2i2000000000−i2i2−i2i2−i2i20000i2−i2-2200−i2i2−i2i200000-220000000000i2−i20i2−i2000
χ512-22-2220022-2-2-2-22002-2-2−i2i20000−i2i2−i2i2-222-2-22-22i2−i2i2−i2000000000−i2i2−i2i2−i2i20000−i2i22-200i2−i2i2−i200000-220000000000−i2i20i2−i2000
χ522-22-2220022-2-2-2-22002-2-2−i2i20000−i2i2−i2i2-22-22-22-22i2−i2i2−i2000000000−i2i2−i2i2−i2i20000i2−i2-2200i2−i2i2−i2000002-20000000000i2−i20−i2i2000
χ532-22-2220022-2-2-2-22002-2-2i2−i20000i2−i2i2−i22-22-22-22-2i2−i2i2−i2000000000i2−i2i2−i2i2−i20000i2−i22-200i2−i2i2−i2000002-20000000000i2−i20i2−i2000
χ542-22-2220022-2-2-2-22002-2-2i2−i20000i2−i2i2−i22-2-222-22-2i2−i2i2−i2000000000i2−i2i2−i2i2−i20000−i2i2-2200i2−i2i2−i200000-220000000000−i2i20−i2i2000
χ552-22-2220022-2-2-2-22002-2-2i2−i20000i2−i2i2−i2-222-2-22-22−i2i2−i2i2000000000i2−i2i2−i2i2−i20000i2−i22-200−i2i2−i2i200000-220000000000i2−i20−i2i2000
χ562-22-2220022-2-2-2-22002-2-2i2−i20000i2−i2i2−i2-22-22-22-22−i2i2−i2i2000000000i2−i2i2−i2i2−i20000−i2i2-2200−i2i2−i2i2000002-20000000000−i2i20i2−i2000
χ5744444-2-4-4-24-244-2-200-2-2-2002-42-400004400-2-2-2-2000000000002200000000-4000002200000000000000000000000000000
χ5844444-2-4-4-24-244-2-200-2-2-2002-42-40000-4-4002222000000000002200000000400000-2-200000000000000000000000000000
χ594444-24-4-44-24-2-24-200-2-2-200-42-420000004400000000000000022000000000-400-2-20000000000000000002000000000000
χ604444-24-4-44-24-2-24-200-2-2-200-42-42000000-4-40000000000000002200000000040022000000000000000000-2000000000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-422-2-2-2-21122-1-1-1-1000000000000002-1-11100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000000004-2-222221122-1-1-1-100000000000000-211-1-100000000000000000000
χ6544-4-4444-4-4-44-44-4400-44-400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-24-42-4-2-442-2002-22002-4-2400000000−2i3−2i32i32i3000000000002-2000000000000002i3−2i300000000000000000000000000000
χ6744-4-44-24-42-4-2-442-2002-22002-4-24000000002i32i3−2i3−2i3000000000002-200000000000000−2i32i300000000000000000000000000000
χ6844-4-4-244-4-4242-2-4-2002-2200-424-2000000000000000000000002-2000000000000000000000000000000000−2i32i30000000000
χ6944-4-4-244-4-4242-2-4-2002-2200-424-2000000000000000000000002-20000000000000000000000000000000002i3−2i30000000000
χ7044-4-4-24-44-4242-2-4-24i−4i2-22004-2-420000000000000000000−2i2i4i−4i-2200000000000000000000000−2i2i00000000000000000000
χ7144-4-4-24-44-4242-2-4-2−4i4i2-22004-2-4200000000000000000002i−2i−4i4i-22000000000000000000000002i−2i00000000000000000000
χ7244-4-4-2-2-4422-22-2214i−4i-11-100-2-2222323−23−230000000000000−2i32i3−2i2i−2i2i1-100−3−333000000000000000i3−i3i−i00000000000000000000
χ7344-4-4-2-2-4422-22-2214i−4i-11-100-2-222−23−23232300000000000002i3−2i3−2i2i−2i2i1-10033−3−3000000000000000−i3i3i−i00000000000000000000
χ7444-4-4-2-2-4422-22-221−4i4i-11-100-2-2222323−23−2300000000000002i3−2i32i−2i2i−2i1-100−3−333000000000000000−i3i3−ii00000000000000000000
χ7544-4-4-2-2-4422-22-221−4i4i-11-100-2-222−23−2323230000000000000−2i32i32i−2i2i−2i1-10033−3−3000000000000000i3−i3−ii00000000000000000000
χ764-44-44-200-242-4-42-200-222−2i22i20000i2−i2i2−i24-400-22-22−2i22i2−2i22i2000000000−2i22i2i2−i2i2−i20000000000i2−i2i2−i20000000000000000000000000
χ774-44-44-200-242-4-42-200-222−2i22i20000i2−i2i2−i2-44002-22-22i2−2i22i2−2i2000000000−2i22i2i2−i2i2−i20000000000−i2i2−i2i20000000000000000000000000
χ784-44-44-200-242-4-42-200-2222i2−2i20000−i2i2−i2i24-400-22-222i2−2i22i2−2i20000000002i2−2i2−i2i2−i2i20000000000−i2i2−i2i20000000000000000000000000
χ794-44-44-200-242-4-42-200-2222i2−2i20000−i2i2−i2i2-44002-22-2−2i22i2−2i22i20000000002i2−2i2−i2i2−i2i20000000000i2−i2i2−i20000000000000000000000000
χ804-44-4-24004-2-422-4-200-222−2i22i20000−2i22i2−2i22i2004-400000000000000000i2−i2i2−i2i2−i20000−2i22i2-2200000000000000000000000i2−i2000000
χ814-44-4-24004-2-422-4-200-222−2i22i20000−2i22i2−2i22i200-4400000000000000000i2−i2i2−i2i2−i200002i2−2i22-200000000000000000000000−i2i2000000
χ824-44-4-24004-2-422-4-200-2222i2−2i200002i2−2i22i2−2i2004-400000000000000000−i2i2−i2i2−i2i200002i2−2i2-2200000000000000000000000−i2i2000000
χ834-44-4-24004-2-422-4-200-2222i2−2i200002i2−2i22i2−2i200-4400000000000000000−i2i2−i2i2−i2i20000−2i22i22-200000000000000000000000i2−i2000000
χ844-4-444400-4-4-44-44400-4-4400000000000000000022−22−2222000000000000000000000000022−22−22220000000000000000000000000
χ854-4-444400-4-4-44-44400-4-44000000000000000000−222222−220000000000000000000000000−222222−220000000000000000000000000
χ864-4-444-2002-424-4-2-20022-2000000i6−i6−i6i60000−2i32i32i3−2i3−222222−2200000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ874-4-444-2002-424-4-2-20022-2000000i6−i6−i6i600002i3−2i3−2i32i322−22−222200000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ884-4-444-2002-424-4-2-20022-2000000−i6i6i6−i60000−2i32i32i3−2i322−22−222200000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ894-4-444-2002-424-4-2-20022-2000000−i6i6i6−i600002i3−2i3−2i32i3−222222−2200000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-48-844-44-44200-22-20044-4-400000000000000000000000-22000000000000000000000000000000000000000000000
χ928-88-8-4-400-4-444442002-2-2−4i24i200002i2−2i22i2−2i20000000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ938-88-8-4-400-4-444442002-2-24i2−4i20000−2i22i2−2i22i2000000000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ948-8-88-4800-84-8-448-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400444-44-4200-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ968-8-88-4-400444-44-4200-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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