Finite Group Databasebeta

← Group #11824488

Character table — Group #11824488

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order122222223366666666666666344444466666661212121212121212121212121212121212121212121212122222444444444444444466661212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-111-1-1-1-111-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-111-1-111-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-111-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-11111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-111-1-1-1-111-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-111-111-1-1-1-1-1-1111111-1-111-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-11-1-1111111-1-1-1-1-1-11111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1-1-11111-1-11111-1-1-1-111
χ17222222222-1222-1-1-1222-1-1-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000002200-1-1000000-1-1-1-1-1-10000
χ18222222222-1222-1-1-1222-1-1-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000-2-200110000001111110000
χ19222222222-1222-1-1-1222-1-1-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-111111111002200220000000000-2-200-1-1000000-1-111110000
χ20222222222-1222-1-1-1222-1-1-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100-2-200-2-2000000000022001100000011-1-1-1-10000
χ21222222222-1222-1-1-1222-1-1-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-11111002200-2-200000000002-200-1-100000011-1-1110000
χ22222222222-1222-1-1-1222-1-1-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-1111100-2-200220000000000-220011000000-1-111-1-10000
χ23222222222-1222-1-1-1222-1-1-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1002200-2-20000000000-2200-1-10000001111-1-10000
χ24222222222-1222-1-1-1222-1-1-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-100-2-2002200000000002-20011000000-1-1-1-1110000
χ2522222222-12-1-1-1222-1-1-1222-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122002200000000002200-1-100-1-1-1-1-1-10000000000
χ2622222222-12-1-1-1222-1-1-1222-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000-2-20011001111110000000000
χ2722222222-12-1-1-1222-1-1-1222-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-1111111112200220000000000-2-200-1-100-1-111110000000000
χ2822222222-12-1-1-1222-1-1-1222-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-111111111-2-200-2-200000000002200110011-1-1-1-10000000000
χ2922222222-12-1-1-1222-1-1-1222-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-111112200-2-200000000002-200-1-10011-1-1110000000000
χ3022222222-12-1-1-1222-1-1-1222-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-11111-2-200220000000000-22001100-1-111-1-10000000000
χ3122222222-12-1-1-1222-1-1-1222-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-12200-2-20000000000-2200-1-1001111-1-10000000000
χ3222222222-12-1-1-1222-1-1-1222-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1-2-2002200000000002-2001100-1-1-1-1110000000000
χ33222-22-2-2-222222222-2-2-2-2-2-2-2-22000000222-2-2-2-20000000000000000000000002-22-2000022-2-2000000002-22-20000000000000000
χ34222-22-2-2-222222222-2-2-2-2-2-2-2-22000000222-2-2-2-20000000000000000000000002-2-220000-2-222000000002-2-220000000000000000
χ35222-22-2-2-222222222-2-2-2-2-2-2-2-22000000222-2-2-2-2000000000000000000000000-222-20000-2-22200000000-222-20000000000000000
χ36222-22-2-2-222222222-2-2-2-2-2-2-2-22000000222-2-2-2-2000000000000000000000000-22-22000022-2-200000000-22-220000000000000000
χ3722-2-2-22-22222-2-22-2-22-2-22-2-222200002-22-2-222-2-2000000002-22-20000000022-2-200000000000022-2-2000000000000000000002-200
χ3822-2-2-22-22222-2-22-2-22-2-22-2-222200002-22-2-222-2-2000000002-22-20000000022-2-2000000000000-2-22200000000000000000000-2200
χ3922-2-2-22-22222-2-22-2-22-2-22-2-22220000-222-2-222-2-200000000-22-2200000000-2-22200000000000022-2-200000000000000000000-2200
χ4022-2-2-22-22222-2-22-2-22-2-22-2-22220000-222-2-222-2-200000000-22-2200000000-2-222000000000000-2-222000000000000000000002-200
χ412-22-2-2-22222-22-2-22-2-22-2-22-2222002-200-22-22-22-200002-22-20000000022-2-200000000000000002-22-200000000000000000000002-2
χ422-22-2-2-22222-22-2-22-2-22-2-22-2222002-200-22-22-22-200002-22-20000000022-2-20000000000000000-22-220000000000000000000000-22
χ432-22-2-2-22222-22-2-22-2-22-2-22-222200-2200-22-22-22-20000-22-2200000000-2-22200000000000000002-22-20000000000000000000000-22
χ442-22-2-2-22222-22-2-22-2-22-2-22-222200-2200-22-22-22-20000-22-2200000000-2-2220000000000000000-22-2200000000000000000000002-2
χ452-2-222-2-2222-2-22-2-22-2-22-2-222222-20000-2-222-2-222-22-20000000022-2-200000000000000002-22-22-2-22000000000000000000000000
χ462-2-222-2-2222-2-22-2-22-2-22-2-222222-20000-2-222-2-222-22-20000000022-2-20000000000000000-22-22-222-2000000000000000000000000
χ472-2-222-2-2222-2-22-2-22-2-22-2-22222-220000-2-222-2-22-22-2200000000-2-22200000000000000002-22-2-222-2000000000000000000000000
χ482-2-222-2-2222-2-22-2-22-2-22-2-22222-220000-2-222-2-22-22-2200000000-2-2220000000000000000-22-222-2-22000000000000000000000000
χ492-2-2-2222-222-2-22-2-2222-222-2-2-22000000-2-22-222-200000000000000000000000000002i−2i2i−2i2-2-220000000000002i−2i00002i−2i00000000
χ502-2-2-2222-222-2-22-2-2222-222-2-2-22000000-2-22-222-200000000000000000000000000002i−2i−2i2i-222-20000000000002i−2i0000−2i2i00000000
χ512-2-2-2222-222-2-22-2-2222-222-2-2-22000000-2-22-222-20000000000000000000000000000−2i2i2i−2i-222-2000000000000−2i2i00002i−2i00000000
χ522-2-2-2222-222-2-22-2-2222-222-2-2-22000000-2-22-222-20000000000000000000000000000−2i2i−2i2i2-2-22000000000000−2i2i0000−2i2i00000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-444111111122222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ57444-44-4-4-44-2444-2-2-2-4-4-4222-42-2000000-2-2-22222000000000000000000000000004-4000000000000000000-220000000000000000
χ58444-44-4-4-44-2444-2-2-2-4-4-4222-42-2000000-2-2-2222200000000000000000000000000-440000000000000000002-20000000000000000
χ59444-44-4-4-4-24-2-2-2444222-4-4-42-4-2000000-2-2-222220000000000000000000000004-4000000000000000000-22000000000000000000
χ60444-44-4-4-4-24-2-2-2444222-4-4-42-4-2000000-2-2-22222000000000000000000000000-440000000000000000002-2000000000000000000
χ6144-44-4-44-4444-4-44-4-4-444-444-4-440000004-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000
χ6244-44-4-44-44-24-4-4-222-4442-2-2-42-2000000-22222-2-2000000000000000000000000000000000000000000000000000000000023−230000
χ6344-44-4-44-44-24-4-4-222-4442-2-2-42-2000000-22222-2-20000000000000000000000000000000000000000000000000000000000−23230000
χ6444-44-4-44-4-24-2224-4-42-2-2-4442-4-2000000-22222-2-2000000000000000000000000000000000000000000000000000023−230000000000
χ6544-44-4-44-4-24-2224-4-42-2-2-4442-4-2000000-22222-2-20000000000000000000000000000000000000000000000000000−23230000000000
χ6644-4-4-44-444-24-4-4-2224-4-4-2224-2-200004-4-222-2-222000000004-4-2200000000-2-2220000000000000000000000000000000000000000
χ6744-4-4-44-444-24-4-4-2224-4-4-2224-2-20000-44-222-2-22200000000-442-20000000022-2-20000000000000000000000000000000000000000
χ6844-4-4-44-44-24-2224-4-4-2224-4-4-24-200004-4-222-2-22200000000-224-400000000-2-2220000000000000000000000000000000000000000
χ6944-4-4-44-44-24-2224-4-4-2224-4-4-24-20000-44-222-2-222000000002-2-440000000022-2-20000000000000000000000000000000000000000
χ7044-4-4-44-44-2-2-222-222-222-222-2-2100004-41-1-111-1-100000000-22-223i−3i3i−3i3i−3i3i−3i11-1-10000000000000000000000000000000000000000
χ7144-4-4-44-44-2-2-222-222-222-222-2-2100004-41-1-111-1-100000000-22-22−3i3i−3i3i−3i3i−3i3i11-1-10000000000000000000000000000000000000000
χ7244-4-4-44-44-2-2-222-222-222-222-2-210000-441-1-111-1-1000000002-22-23i−3i3i−3i−3i3i−3i3i-1-1110000000000000000000000000000000000000000
χ7344-4-4-44-44-2-2-222-222-222-222-2-210000-441-1-111-1-1000000002-22-2−3i3i−3i3i3i−3i3i−3i-1-1110000000000000000000000000000000000000000
χ744-444-44-4-444-44-4-44-44-444-44-4-44000000-44-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ754-444-44-4-44-2-44-42-224-44-22-2-42-20000002-222-22-20000000000000000000000000000000000000000000000000000000023−23000000
χ764-444-44-4-44-2-44-42-224-44-22-2-42-20000002-222-22-200000000000000000000000000000000000000000000000000000000−2323000000
χ774-444-44-4-4-242-22-44-4-22-24-442-4-20000002-222-22-20000000000000000000000000000000000000000000000000023−23000000000000
χ784-444-44-4-4-242-22-44-4-22-24-442-4-20000002-222-22-200000000000000000000000000000000000000000000000000−2323000000000000
χ794-44-4-4-4444-2-44-42-22-44-42-224-2-2004-4002-22-22-2200004-4-2200000000-2-22200000000000000000000000000000000000000000000
χ804-44-4-4-4444-2-44-42-22-44-42-224-2-200-44002-22-22-220000-442-20000000022-2-200000000000000000000000000000000000000000000
χ814-44-4-4-444-242-22-44-42-22-44-4-24-2004-4002-22-22-220000-224-400000000-2-22200000000000000000000000000000000000000000000
χ824-44-4-4-444-242-22-44-42-22-44-4-24-200-44002-22-22-2200002-2-440000000022-2-200000000000000000000000000000000000000000000
χ834-44-4-4-444-2-22-222-222-222-22-2-21004-400-11-11-11-10000-22-2200003i−3i−3i3i11-1-13i−3i3i−3i0000000000000000000000000000000000000000
χ844-44-4-4-444-2-22-222-222-222-22-2-21004-400-11-11-11-10000-22-220000−3i3i3i−3i11-1-1−3i3i−3i3i0000000000000000000000000000000000000000
χ854-44-4-4-444-2-22-222-222-222-22-2-2100-4400-11-11-11-100002-22-200003i−3i−3i3i-1-111−3i3i−3i3i0000000000000000000000000000000000000000
χ864-44-4-4-444-2-22-222-222-222-22-2-2100-4400-11-11-11-100002-22-20000−3i3i3i−3i-1-1113i−3i3i−3i0000000000000000000000000000000000000000
χ874-4-444-4-444-2-4-4422-2-4-4422-24-2-24-4000022-2-222-24-4-2200000000-2-222000000000000000000000000000000000000000000000000
χ884-4-444-4-444-2-4-4422-2-4-4422-24-2-2-44000022-2-222-2-442-20000000022-2-2000000000000000000000000000000000000000000000000
χ894-4-444-4-44-2422-2-4-4422-2-4-44-24-24-4000022-2-222-2-224-400000000-2-222000000000000000000000000000000000000000000000000
χ904-4-444-4-44-2422-2-4-4422-2-4-44-24-2-44000022-2-222-22-2-440000000022-2-2000000000000000000000000000000000000000000000000
χ914-4-444-4-44-2-222-222-222-222-2-2-214-40000-1-111-1-11-22-220000000011-1-13i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ924-4-444-4-44-2-222-222-222-222-2-2-214-40000-1-111-1-11-22-220000000011-1-1−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ934-4-444-4-44-2-222-222-222-222-2-2-21-440000-1-111-1-112-22-200000000-1-1113i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ944-4-444-4-44-2-222-222-222-222-2-2-21-440000-1-111-1-112-22-200000000-1-111−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ954-4-4-4444-44-2-4-4422-244-4-2-22-42-200000022-22-2-220000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000
χ964-4-4-4444-44-2-4-4422-244-4-2-22-42-200000022-22-2-22000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000
χ974-4-4-4444-4-2422-2-4-44-2-2244-42-4-200000022-22-2-2200000000000000000000000000004i−4i000000000000000000−2i2i00000000000000
χ984-4-4-4444-4-2422-2-4-44-2-2244-42-4-200000022-22-2-220000000000000000000000000000−4i4i0000000000000000002i−2i00000000000000
χ99888-88-8-8-8-4-4-4-4-4-4-4-4444444442000000222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ10088-88-8-88-8-4-4-444-4444-4-44-4-44420000002-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1018-888-88-8-8-4-44-444-44-44-4-44-4442000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8888-8-4-444-444-4-4-44-4-44442000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000

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