Finite Group Databasebeta

← Group #11873487

Character table — Group #11873487

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order122233446666668888366612121212242424242424242444444444888888884412122424242444441212121212121212242424242424242412121212121212122288882444612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-111-1-11-11-1-1
χ4111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-111
χ51111111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-111-11-1-1-1
χ61111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-11-11-1-111-11
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11-11-111-1-11-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-1111-1-1-1-1111111-1-11-1-111-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11-1-1-111-1-11111-1-111-111-1-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-1111-1-1-1-11111-1-111-111-11-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11-1-1-111-1-1111111-1-11-1-11-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-11-11-111-1-1-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1-1-1-11-11-1-1111-1
χ17222222-2-222222200002222-2-2-2-2000000002222-2-2-2-20000000000-2-20000-2-2-2-2-2-222-2-22200000000000000002200000000000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2220000000000-2-200002222-2-2-2-222220000000000000000-2-200000000000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22222-2-20000000000-2-2000022222222-2-2-2-20000000000000000-2-200000000000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-222220000000000-2-20000-2-2-2-222-2-222-2-200000000000000002200000000000000
χ2122222-1222-1-12-122222-1-1-1-1-12-122222-1-1-1-1002200220000222222-1-1-1-1-1-1000000-1-1-1-1000000-1-1-1-1-1-122-1-1-1-10000002002-10-1000
χ2222222-1222-1-12-122222-1-1-1-1-12-122222-1-1-1-10022002200002222-2-2-1-1-1-1-1-1000000-1-1-1-1000000-1-1-1-111-2-21111000000-200-2101000
χ2322222-1222-1-12-122222-1-1-1-1-12-122222-1-1-1-100-2-200-2-20000-2-2-2-222-1-1-1-1-1-100000011110000001111-1-122-1-1-1-1000000-200-2101000
χ2422222-1222-1-12-122222-1-1-1-1-12-122222-1-1-1-100-2-200-2-20000-2-2-2-2-2-2-1-1-1-1-1-10000001111000000111111-2-211110000002002-10-1000
χ2522222-1222-1-12-12-2-2-2-2-1-1-1-1-12-12-2-2-2-21111002200220000-2-2-2-22-2-1-11111000000-1-1-1-100000011111-1-22-1-111000000-200210-1000
χ2622222-1222-1-12-12-2-2-2-2-1-1-1-1-12-12-2-2-2-21111002200220000-2-2-2-2-22-1-11111000000-1-1-1-10000001111-112-211-1-1000000200-2-101000
χ2722222-1222-1-12-12-2-2-2-2-1-1-1-1-12-12-2-2-2-2111100-2-200-2-2000022222-2-1-111110000001111000000-1-1-1-11-1-22-1-111000000200-2-101000
χ2822222-1222-1-12-12-2-2-2-2-1-1-1-1-12-12-2-2-2-2111100-2-200-2-200002222-22-1-111110000001111000000-1-1-1-1-112-211-1-1000000-200210-1000
χ292222-1222-122-12-12222-1-1-1-12-12-1-1-1-1-12222220022002222000022-1-1-1-1-1-10000-1-10000-1-1-1-1-1-1000022-1-1-1-1-1-100000002200-10-100
χ302222-1222-122-12-12222-1-1-1-12-12-1-1-1-1-122222200220022220000-2-2-1-1-1-1-1-10000-1-10000-1-1-1-1-1-10000-2-21111110000000-2-20010100
χ312222-1222-122-12-12222-1-1-1-12-12-1-1-1-1-12222-2-200-2-200-2-2-2-2000022-1-1-1-1-1-10000110000111111000022-1-1-1-1-1-10000000-2-20010100
χ322222-1222-122-12-12222-1-1-1-12-12-1-1-1-1-12222-2-200-2-200-2-2-2-20000-2-2-1-1-1-1-1-100001100001111110000-2-211111100000002200-10-100
χ332222-1222-122-12-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-222002200-2-2-2-200002-2-1-111110000-1-10000-1-111110000-221-1-1-11100000002-20010-100
χ342222-1222-122-12-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-222002200-2-2-2-20000-22-1-111110000-1-10000-1-1111100002-2-1111-1-10000000-2200-10100
χ352222-1222-122-12-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-2-2-200-2-200222200002-2-1-11111000011000011-1-1-1-10000-221-1-1-1110000000-2200-10100
χ362222-1222-122-12-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-2-2-200-2-20022220000-22-1-11111000011000011-1-1-1-100002-2-1111-1-100000002-20010-100
χ3722-2-22200-2-22-2-22i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i22-200002i−2ii2i2−i2−i222−2−20000i2i2−i2−i22i2i−2i−2i00002i−2i2-2i2i2−i2−i222−2−2000000000022−2−20000000000
χ3822-2-22200-2-22-2-22i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i22-20000−2i2ii2i2−i2−i2−2−2220000i2i2−i2−i2−2i−2i2i2i0000−2i2i2-2i2i2−i2−i2−2−2220000000000−2−2220000000000
χ3922-2-22200-2-22-2-22i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2-2200002i−2i−i2−i2i2i222−2−20000i2i2−i2−i2−2i−2i2i2i00002i−2i-22−i2−i2i2i222−2−20000000000−2−2220000000000
χ4022-2-22200-2-22-2-22i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2-220000−2i2i−i2−i2i2i2−2−2220000i2i2−i2−i22i2i−2i−2i0000−2i2i-22−i2−i2i2i2−2−222000000000022−2−20000000000
χ4122-2-22200-2-22-2-22−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i22-200002i−2i−i2−i2i2i2−2−2220000−i2−i2i2i22i2i−2i−2i00002i−2i2-2−i2−i2i2i2−2−2220000000000−2−2220000000000
χ4222-2-22200-2-22-2-22−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i22-20000−2i2i−i2−i2i2i222−2−20000−i2−i2i2i2−2i−2i2i2i0000−2i2i2-2−i2−i2i2i222−2−2000000000022−2−20000000000
χ4322-2-22200-2-22-2-22−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2-2200002i−2ii2i2−i2−i2−2−2220000−i2−i2i2i2−2i−2i2i2i00002i−2i-22i2i2−i2−i2−2−222000000000022−2−20000000000
χ4422-2-22200-2-22-2-22−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2-220000−2i2ii2i2−i2−i222−2−20000−i2−i2i2i22i2i−2i−2i0000−2i2i-22i2i2−i2−i222−2−20000000000−2−2220000000000
χ452-22-2222-2-22-22-2-22i−2i2i−2i2-2-22-2-2222i−2i2i−2i2i−2i2i−2i0000000000000000002-22i−2i2i−2i2-22-20000000000000000000000002-22i−2i2i−2i0000000000
χ462-22-2222-2-22-22-2-22i−2i2i−2i2-2-22-2-2222i−2i2i−2i2i−2i2i−2i0000000000000000002-22i−2i2i−2i-22-22000000000000000000000000-22−2i2i−2i2i0000000000
χ472-22-2222-2-22-22-2-2−2i2i−2i2i2-2-22-2-222−2i2i−2i2i−2i2i−2i2i0000000000000000002-2−2i2i−2i2i2-22-20000000000000000000000002-2−2i2i−2i2i0000000000
χ482-22-2222-2-22-22-2-2−2i2i−2i2i2-2-22-2-222−2i2i−2i2i−2i2i−2i2i0000000000000000002-2−2i2i−2i2i-22-22000000000000000000000000-222i−2i2i−2i0000000000
χ492-22-222-22-22-22-2-200002-2-2222-2-200000000000000002i−2i2i−2i2i−2i2i−2i00-2200002-22-2000000002i−2i2i−2i2i−2i2i−2i00000000-2200000000000000
χ502-22-222-22-22-22-2-200002-2-2222-2-200000000000000002i−2i2i−2i−2i2i−2i2i00-220000-22-22000000002i−2i2i−2i−2i2i−2i2i000000002-200000000000000
χ512-22-222-22-22-22-2-200002-2-2222-2-20000000000000000−2i2i−2i2i2i−2i2i−2i00-220000-22-2200000000−2i2i−2i2i2i−2i2i−2i000000002-200000000000000
χ522-22-222-22-22-22-2-200002-2-2222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i00-2200002-22-200000000−2i2i−2i2i−2i2i−2i2i00000000-2200000000000000
χ532-2-2222002-2-2-22-22−2−2222-2-200002−2−222−2−22002i−2i2-2002−2−22i2−i2−i2i200002−2−22−2i2i2i−2i2-22i−2i00002−2−22i2−i2−i2i20000000000i2−i2−i2i20000000000
χ542-2-2222002-2-2-22-22−2−2222-2-200002−2−222−2−22002i−2i-2200−222−2i2−i2−i2i200002−2−222i−2i−2i2i-222i−2i0000−222−2i2−i2−i2i20000000000−i2i2i2−i20000000000
χ552-2-2222002-2-2-22-22−2−2222-2-200002−2−222−2−2200−2i2i2-2002−2−22−i2i2i2−i200002−2−222i−2i−2i2i2-2−2i2i00002−2−22−i2i2i2−i20000000000−i2i2i2−i20000000000
χ562-2-2222002-2-2-22-22−2−2222-2-200002−2−222−2−2200−2i2i-2200−222−2−i2i2i2−i200002−2−22−2i2i2i−2i-22−2i2i0000−222−2−i2i2i2−i20000000000i2−i2−i2i20000000000
χ572-2-2222002-2-2-22-2−222−222-2-20000−222−2−222−2002i−2i2-200−222−2−i2i2i2−i20000−222−2−2i2i2i−2i2-22i−2i0000−222−2−i2i2i2−i20000000000−i2i2i2−i20000000000
χ582-2-2222002-2-2-22-2−222−222-2-20000−222−2−222−2002i−2i-22002−2−22−i2i2i2−i20000−222−22i−2i−2i2i-222i−2i00002−2−22−i2i2i2−i20000000000i2−i2−i2i20000000000
χ592-2-2222002-2-2-22-2−222−222-2-20000−222−2−222−200−2i2i2-200−222−2i2−i2−i2i20000−222−22i−2i−2i2i2-2−2i2i0000−222−2i2−i2−i2i20000000000i2−i2−i2i20000000000
χ602-2-2222002-2-2-22-2−222−222-2-20000−222−2−222−200−2i2i-22002−2−22i2−i2−i2i20000−222−2−2i2i2i−2i-22−2i2i00002−2−22i2−i2−i2i20000000000−i2i2i2−i20000000000
χ6144444-2-4-44-2-24-240000-2-2-2-22-42-400000000004400-4-40000000000220000000000-2-2220000000000000000000000000000000000
χ6244444-2-4-44-2-24-240000-2-2-2-22-42-40000000000-4-40044000000000022000000000022-2-20000000000000000000000000000000000
χ634444-24-4-4-244-24-20000-2-2-2-2-42-42000000004400-4-40000000000002200000000220000-2-200000000000000000000000000000000
χ644444-24-4-4-244-24-20000-2-2-2-2-42-4200000000-4-400440000000000002200000000-2-200002200000000000000000000000000000000
χ654444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000000000004411111100000000000000000000-2-2-2-211110000000000000000
χ664444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-4-4111111000000000000000000002222-1-1-1-10000000000000000
χ674444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000000000004-411-1-1-1-1000000000000000000002-22-211-1-10000000000000000
χ684444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000000000000000-4411-1-1-1-100000000000000000000-22-22-1-1110000000000000000
χ6944-4-44-200-42-2-4242i22i2−2i2−2i2-22-2200002i22i2−2i2−2i2−i2−i2i2i20000004i−4i00002222−22−220000−i2−i2i2i200000000−2i2i000000−2−222000000000000000000000000
χ7044-4-44-200-42-2-4242i22i2−2i2−2i2-22-2200002i22i2−2i2−2i2−i2−i2i2i2000000−4i4i0000−22−2222220000−i2−i2i2i2000000002i−2i00000022−2−2000000000000000000000000
χ7144-4-44-200-42-2-424−2i2−2i22i22i2-22-220000−2i2−2i22i22i2i2i2−i2−i20000004i−4i0000−22−2222220000i2i2−i2−i200000000−2i2i00000022−2−2000000000000000000000000
χ7244-4-44-200-42-2-424−2i2−2i22i22i2-22-220000−2i2−2i22i22i2i2i2−i2−i2000000−4i4i00002222−22−220000i2i2−i2−i2000000002i−2i000000−2−222000000000000000000000000
χ7344-4-4-24002-442-4-22i22i2−2i2−2i2-22-220000−i2−i2i2i22i22i2−2i2−2i24-40000002i22i2−2i2−2i200000000−i2−i2i2i20000000000-22−i2−i2i2i20000000000000000000000000000
χ7444-4-4-24002-442-4-22i22i2−2i2−2i2-22-220000−i2−i2i2i22i22i2−2i2−2i2-44000000−2i2−2i22i22i200000000−i2−i2i2i200000000002-2i2i2−i2−i20000000000000000000000000000
χ7544-4-4-24002-442-4-2−2i2−2i22i22i2-22-220000i2i2−i2−i2−2i2−2i22i22i24-4000000−2i2−2i22i22i200000000i2i2−i2−i20000000000-22i2i2−i2−i20000000000000000000000000000
χ7644-4-4-24002-442-4-2−2i2−2i22i22i2-22-220000i2i2−i2−i2−2i2−2i22i22i2-440000002i22i2−2i2−2i200000000i2i2−i2−i200000000002-2−i2−i2i2i20000000000000000000000000000
χ774-44-44-24-4-4-2242-44i−4i4i−4i-222-22-4-244i−4i4i−4i−2i2i−2i2i000000000000000000-22−2i2i−2i2i00000000000000000000000000000000000000000000
χ784-44-44-24-4-4-2242-4−4i4i−4i4i-222-22-4-24−4i4i−4i4i2i−2i2i−2i000000000000000000-222i−2i2i−2i00000000000000000000000000000000000000000000
χ794-44-44-2-44-4-2242-40000-222-2-242-4000000000000000000004i−4i4i−4i002-200000000000000000000−2i2i−2i2i000000000000000000000000
χ804-44-44-2-44-4-2242-40000-222-2-242-400000000000000000000−4i4i−4i4i002-2000000000000000000002i−2i2i−2i000000000000000000000000
χ814-44-4-244-424-4-2-424i−4i4i−4i-222-2-424-2−2i2i−2i2i4i−4i4i−4i000000000000000000-22−2i2i−2i2i00000000000000000000000000000000000000000000
χ824-44-4-244-424-4-2-42−4i4i−4i4i-222-2-424-22i−2i2i−2i−4i4i−4i4i000000000000000000-222i−2i2i−2i00000000000000000000000000000000000000000000
χ834-44-4-24-4424-4-2-420000-222-24-2-4200000000000000004i−4i4i−4i0000002-20000000000000000−2i2i−2i2i0000000000000000000000000000
χ844-44-4-24-4424-4-2-420000-222-24-2-420000000000000000−4i4i−4i4i0000002-200000000000000002i−2i2i−2i0000000000000000000000000000
χ854-44-4-2-24-42-22-2224i−4i4i−4i1-1-1122-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000001-1i−ii−i0000000000000000000000003i−3i3-30000000000000000
χ864-44-4-2-24-42-22-2224i−4i4i−4i1-1-1122-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000001-1i−ii−i000000000000000000000000−3i3i-330000000000000000
χ874-44-4-2-24-42-22-222−4i4i−4i4i1-1-1122-2-22i−2i2i−2i2i−2i2i−2i0000000000000000001-1−ii−ii0000000000000000000000003i−3i-330000000000000000
χ884-44-4-2-24-42-22-222−4i4i−4i4i1-1-1122-2-22i−2i2i−2i2i−2i2i−2i0000000000000000001-1−ii−ii000000000000000000000000−3i3i3-30000000000000000
χ894-4-444-200422-4-2-422−22−2222-2-222000022−22−2222−222−2004i−4i000000002i2−2i2−2i22i20000−222−2000000−2i2i00000000−i2i2i2−i2000000000000000000000000
χ904-4-444-200422-4-2-422−22−2222-2-222000022−22−2222−222−200−4i4i00000000−2i22i22i2−2i20000−222−20000002i−2i00000000i2−i2−i2i2000000000000000000000000
χ914-4-444-200422-4-2-4−222222−22-2-2220000−222222−222−2−22004i−4i00000000−2i22i22i2−2i200002−2−22000000−2i2i00000000i2−i2−i2i2000000000000000000000000
χ924-4-444-200422-4-2-4−222222−22-2-2220000−222222−222−2−2200−4i4i000000002i2−2i2−2i22i200002−2−220000002i−2i00000000−i2i2i2−i2000000000000000000000000
χ934-4-44-2400-2-4-424222−22−2222-2-2220000−222−222−22−222200004-40022−22−222200000000−222−20000-22000000−222−20000000000000000000000000000
χ944-4-44-2400-2-4-424222−22−2222-2-2220000−222−222−22−22220000-4400−222222−2200000000−222−200002-20000002−2−220000000000000000000000000000
χ954-4-44-2400-2-4-4242−222222−22-2-22200002−2−22−222222−2200004-400−222222−22000000002−2−220000-220000002−2−220000000000000000000000000000
χ964-4-44-2400-2-4-4242−222222−22-2-22200002−2−22−222222−220000-440022−22−2222000000002−2−2200002-2000000−222−20000000000000000000000000000
χ978888-4-4-8-8-4-4-4-4-4-400002222444400000000000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9888-8-8-4-40044-444-44i24i2−4i2−4i22-22-20000−2i2−2i22i22i2−2i2−2i22i22i200000000000000000000i2i2−i2−i200000000000000000000000000000000000000000000
χ9988-8-8-4-40044-444-4−4i2−4i24i24i22-22-200002i22i2−2i2−2i22i22i2−2i2−2i200000000000000000000−i2−i2i2i200000000000000000000000000000000000000000000
χ1008-88-8-4-4-884-44-44400002-2-22-4-44400000000000000000000000000-22000000000000000000000000000000000000000000000000
χ1018-8-88-4-400-4444-4442−42−424222-2-20000−222222−22−222222−22000000000000000000002−2−2200000000000000000000000000000000000000000000
χ1028-8-88-4-400-4444-44−424242−4222-2-2000022−22−222222−22−222200000000000000000000−222−200000000000000000000000000000000000000000000

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