Finite Group Databasebeta

← Group #11808363

Character table — Group #11808363

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order1222222233666666666666663444444666666612121212121212121212121212121212121212121212121222222222444444444444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-11111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1
χ17222222222-1222-1-1-122-1-12-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002200000022222200-1-1000000-1-1-1-1-1-1000000
χ18222222222-1222-1-1-122-1-12-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2000000-2-2-2-2-2-20011000000111111000000
χ19222222222-1222-1-1-122-1-12-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100000000002200000022-2-2-2-200-1-1000000-1-11111000000
χ20222222222-1222-1-1-122-1-12-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-1111111110000000000-2-2000000-2-22222001100000011-1-1-1-1000000
χ21222222222-1222-1-1-122-1-12-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-11111000000000022000000-2-222-2-200-1-100000011-1-111000000
χ22222222222-1222-1-1-122-1-12-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000000000-2-200000022-2-2220011000000-1-111-1-1000000
χ23222222222-1222-1-1-122-1-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1000000000022000000-2-2-2-22200-1-10000001111-1-1000000
χ24222222222-1222-1-1-122-1-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-10000000000-2-20000002222-2-20011000000-1-1-1-111000000
χ2522222222-12-1-1-1222-1-122-12-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002200222222000000-1-100-1-1-1-1-1-1000000000000
χ2622222222-12-1-1-1222-1-122-12-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200-2-2-2-2-2-20000001100111111000000000000
χ2722222222-12-1-1-1222-1-122-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-11111111100000000220022-2-2-2-2000000-1-100-1-11111000000000000
χ2822222222-12-1-1-1222-1-122-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-11111111100000000-2-200-2-22222000000110011-1-1-1-1000000000000
χ2922222222-12-1-1-1222-1-122-12-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-11111000000002200-2-222-2-2000000-1-10011-1-111000000000000
χ3022222222-12-1-1-1222-1-122-12-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-1111100000000-2-20022-2-2220000001100-1-111-1-1000000000000
χ3122222222-12-1-1-1222-1-122-12-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1000000002200-2-2-2-222000000-1-1001111-1-1000000000000
χ3222222222-12-1-1-1222-1-122-12-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-100000000-2-2002222-2-20000001100-1-1-1-111000000000000
χ33222-22-2-2-22222-222-22-22-2-2-2-2-22002-20022-2-22-2-200002-22-20000000022-2-200002222-2-2-2-200000000000000000000000000000000002-200
χ34222-22-2-2-22222-222-22-22-2-2-2-2-22002-20022-2-22-2-200002-22-20000000022-2-20000-2-2-2-222220000000000000000000000000000000000-2200
χ35222-22-2-2-22222-222-22-22-2-2-2-2-2200-220022-2-22-2-20000-22-2200000000-2-22200002222-2-2-2-20000000000000000000000000000000000-2200
χ36222-22-2-2-22222-222-22-22-2-2-2-2-2200-220022-2-22-2-20000-22-2200000000-2-2220000-2-2-2-2222200000000000000000000000000000000002-200
χ3722-22-22-2-2222-222-22-22-22-2-2-2-222-200002-22-2-22-22-22-20000000022-2-20000000022-2-222-2-2000000000000000000000000000000002-20000
χ3822-22-22-2-2222-222-22-22-22-2-2-2-222-200002-22-2-22-22-22-20000000022-2-200000000-2-222-2-22200000000000000000000000000000000-220000
χ3922-22-22-2-2222-222-22-22-22-2-2-2-22-2200002-22-2-22-2-22-2200000000-2-2220000000022-2-222-2-200000000000000000000000000000000-220000
χ4022-22-22-2-2222-222-22-22-22-2-2-2-22-2200002-22-2-22-2-22-2200000000-2-22200000000-2-222-2-222000000000000000000000000000000002-20000
χ4122-2-2-2-222222-2-22-2-2-2-2-2-22222200002-22-2-22-2-22000000002-22-20000000022-2-222-2-2-2-2220000000000000000000000000000000000002-2
χ4222-2-2-2-222222-2-22-2-2-2-2-2-22222200002-22-2-22-2-22000000002-22-20000000022-2-2-2-22222-2-2000000000000000000000000000000000000-22
χ4322-2-2-2-222222-2-22-2-2-2-2-2-2222220000-222-2-22-2-2200000000-22-2200000000-2-22222-2-2-2-222000000000000000000000000000000000000-22
χ4422-2-2-2-222222-2-22-2-2-2-2-2-2222220000-222-2-22-2-2200000000-22-2200000000-2-222-2-22222-2-20000000000000000000000000000000000002-2
χ452-222-2-2-2222-222-222-2-2-2-2-2-2222000000-2222-2-2-20000000000000000000000002-22-22-22-22i−2i2i−2i0000000000002i−2i2i−2i000000000000000000
χ462-222-2-2-2222-222-222-2-2-2-2-2-2222000000-2222-2-2-20000000000000000000000002-22-22-22-2−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000
χ472-222-2-2-2222-222-222-2-2-2-2-2-2222000000-2222-2-2-2000000000000000000000000-22-22-22-222i−2i−2i2i0000000000002i−2i−2i2i000000000000000000
χ482-222-2-2-2222-222-222-2-2-2-2-2-2222000000-2222-2-2-2000000000000000000000000-22-22-22-22−2i2i2i−2i000000000000−2i2i2i−2i000000000000000000
χ492-22-2-222-222-22-2-22-2-22-2222-2-22000000-22-2-2-2220000000000000000000000002-22-2-22-220000002i−2i00002i−2i000000002i−2i00002i−2i00000000
χ502-22-2-222-222-22-2-22-2-22-2222-2-22000000-22-2-2-2220000000000000000000000002-22-2-22-22000000−2i2i0000−2i2i00000000−2i2i0000−2i2i00000000
χ512-22-2-222-222-22-2-22-2-22-2222-2-22000000-22-2-2-222000000000000000000000000-22-222-22-20000002i−2i0000−2i2i000000002i−2i0000−2i2i00000000
χ522-22-2-222-222-22-2-22-2-22-2222-2-22000000-22-2-2-222000000000000000000000000-22-222-22-2000000−2i2i00002i−2i00000000−2i2i00002i−2i00000000
χ532-2-222-22-222-2-22-2-222-22-222-2-22000000-2-22-22-220000000000000000000000002-2-222-2-2200002i−2i00002i−2i000000002i−2i00002i−2i0000000000
χ542-2-222-22-222-2-22-2-222-22-222-2-22000000-2-22-22-220000000000000000000000002-2-222-2-220000−2i2i0000−2i2i00000000−2i2i0000−2i2i0000000000
χ552-2-222-22-222-2-22-2-222-22-222-2-22000000-2-22-22-22000000000000000000000000-222-2-222-200002i−2i0000−2i2i000000002i−2i0000−2i2i0000000000
χ562-2-222-22-222-2-22-2-222-22-222-2-22000000-2-22-22-22000000000000000000000000-222-2-222-20000−2i2i00002i−2i00000000−2i2i00002i−2i0000000000
χ572-2-2-222-2222-2-2-2-2-2-22222-2-2222000000-2-2-2222-20000000000000000000000002-2-22-222-2000000002-200002-2000000002-200002-2000000
χ582-2-2-222-2222-2-2-2-2-2-22222-2-2222000000-2-2-2222-20000000000000000000000002-2-22-222-200000000-220000-2200000000-220000-22000000
χ592-2-2-222-2222-2-2-2-2-2-22222-2-2222000000-2-2-2222-2000000000000000000000000-222-22-2-22000000002-20000-22000000002-20000-22000000
χ602-2-2-222-2222-2-2-2-2-2-22222-2-2222000000-2-2-2222-2000000000000000000000000-222-22-2-2200000000-2200002-200000000-2200002-2000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-444111111122222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ65444-44-4-4-44-244-4-2-224-4-22-42-42-2004-400-2-222-22200004-4-2200000000-2-22200000000000000000000000000000000000000000000000000
χ66444-44-4-4-44-244-4-2-224-4-22-42-42-200-4400-2-222-2220000-442-20000000022-2-200000000000000000000000000000000000000000000000000
χ67444-44-4-4-4-24-2-2244-4-224-42-42-4-2004-400-2-222-2220000-224-400000000-2-22200000000000000000000000000000000000000000000000000
χ68444-44-4-4-4-24-2-2244-4-224-42-42-4-200-4400-2-222-22200002-2-440000000022-2-200000000000000000000000000000000000000000000000000
χ69444-44-4-4-4-2-2-2-22-2-22-22-2222221004-40011-1-11-1-10000-22-2200003i−3i3i−3i11-1-13i−3i3i−3i0000000000000000000000000000000000000000000000
χ70444-44-4-4-4-2-2-2-22-2-22-22-2222221004-40011-1-11-1-10000-22-220000−3i3i−3i3i11-1-1−3i3i−3i3i0000000000000000000000000000000000000000000000
χ71444-44-4-4-4-2-2-2-22-2-22-22-222222100-440011-1-11-1-100002-22-200003i−3i3i−3i-1-111−3i3i−3i3i0000000000000000000000000000000000000000000000
χ72444-44-4-4-4-2-2-2-22-2-22-22-222222100-440011-1-11-1-100002-22-20000−3i3i−3i3i-1-1113i−3i3i−3i0000000000000000000000000000000000000000000000
χ7344-44-44-4-44-24-44-22-2-442-2-42-42-24-40000-22-222-224-4-2200000000-2-222000000000000000000000000000000000000000000000000000000
χ7444-44-44-4-44-24-44-22-2-442-2-42-42-2-440000-22-222-22-442-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ7544-44-44-4-4-24-22-24-442-2-442-42-4-24-40000-22-222-22-224-400000000-2-222000000000000000000000000000000000000000000000000000000
χ7644-44-44-4-4-24-22-24-442-2-442-42-4-2-440000-22-222-222-2-440000000022-2-2000000000000000000000000000000000000000000000000000000
χ7744-44-44-4-4-2-2-22-2-22-22-22-2222214-400001-11-1-11-1-22-220000000011-1-13i−3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ7844-44-44-4-4-2-2-22-2-22-22-22-2222214-400001-11-1-11-1-22-220000000011-1-1−3i3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ7944-44-44-4-4-2-2-22-2-22-22-22-222221-4400001-11-1-11-12-22-200000000-1-1113i−3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ8044-44-44-4-4-2-2-22-2-22-22-22-222221-4400001-11-1-11-12-22-200000000-1-111−3i3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ8144-4-4-4-4444-24-4-4-222-4-4224-24-2-200004-4-222-222-2000000004-4-2200000000-2-2220000000000000000000000000000000000000000000000
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χ8344-4-4-4-444-24-2224-4-422-4-4-24-24-200004-4-222-222-200000000-224-400000000-2-2220000000000000000000000000000000000000000000000
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χ8544-4-4-4-444-2-2-222-2222222-2-2-2-2100004-41-1-11-1-1100000000-22-223i−3i−3i3i−3i3i3i−3i11-1-10000000000000000000000000000000000000000000000
χ8644-4-4-4-444-2-2-222-2222222-2-2-2-2100004-41-1-11-1-1100000000-22-22−3i3i3i−3i3i−3i−3i3i11-1-10000000000000000000000000000000000000000000000
χ8744-4-4-4-444-2-2-222-2222222-2-2-2-210000-441-1-11-1-11000000002-22-23i−3i−3i3i3i−3i−3i3i-1-1110000000000000000000000000000000000000000000000
χ8844-4-4-4-444-2-2-222-2222222-2-2-2-210000-441-1-11-1-11000000002-22-2−3i3i3i−3i−3i3i3i−3i-1-1110000000000000000000000000000000000000000000000
χ894-444-4-4-444-2-4442-2-2-4-422-424-2-20000002-2-2-222200000000000000000000000000000000004i−4i00000000000000−2i2i000000000000000000
χ904-444-4-4-444-2-4442-2-2-4-422-424-2-20000002-2-2-22220000000000000000000000000000000000−4i4i000000000000002i−2i000000000000000000
χ914-444-4-4-44-242-2-2-44422-4-42-4-24-20000002-2-2-2222000000000000000000000000000000004i−4i00000000000000−2i2i00000000000000000000
χ924-444-4-4-44-242-2-2-44422-4-42-4-24-20000002-2-2-222200000000000000000000000000000000−4i4i000000000000002i−2i00000000000000000000
χ934-44-4-444-44-2-44-42-22-442-24-2-42-20000002-2222-2-2000000000000000000000000000000000000000000004i−4i00000000000000−2i2i00000000
χ944-44-4-444-44-2-44-42-22-442-24-2-42-20000002-2222-2-200000000000000000000000000000000000000000000−4i4i000000000000002i−2i00000000
χ954-44-4-444-4-242-22-44-42-2-44-242-4-20000002-2222-2-2000000000000000000000000000000000000004i−4i00000000000000−2i2i00000000000000
χ964-44-4-444-4-242-22-44-42-2-44-242-4-20000002-2222-2-200000000000000000000000000000000000000−4i4i000000000000002i−2i00000000000000
χ974-4-444-44-44-2-4-4422-24-4-224-2-42-200000022-22-22-20000000000000000000000000000000000000000004i−4i00000000000000−2i2i0000000000
χ984-4-444-44-44-2-4-4422-24-4-224-2-42-200000022-22-22-2000000000000000000000000000000000000000000−4i4i000000000000002i−2i0000000000
χ994-4-444-44-4-2422-2-4-44-224-4-242-4-200000022-22-22-20000000000000000000000000000000000004i−4i00000000000000−2i2i0000000000000000
χ1004-4-444-44-4-2422-2-4-44-224-4-242-4-200000022-22-22-2000000000000000000000000000000000000−4i4i000000000000002i−2i0000000000000000
χ1014-4-4-444-444-2-4-4-422244-2-2-424-2-2000000222-2-2-2200000000000000000000000000000000000000000000004-400000000000000-22000000
χ1024-4-4-444-444-2-4-4-422244-2-2-424-2-2000000222-2-2-220000000000000000000000000000000000000000000000-44000000000000002-2000000
χ1034-4-4-444-44-24222-4-4-4-2-2442-4-24-2000000222-2-2-2200000000000000000000000000000000000000004-400000000000000-22000000000000
χ1044-4-4-444-44-24222-4-4-4-2-2442-4-24-2000000222-2-2-220000000000000000000000000000000000000000-44000000000000002-2000000000000
χ1058-888-8-8-88-4-44-4-44-4-4444444-4-42000000-2222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-888-8-4-44-444-444-44-4-4-4442000000-22-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-88-8-4-444-444-4-44-44-4-4442000000-2-22-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-4444444-4-4-4-444-4-42000000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000000000

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