Finite Group Databasebeta

← C2×#13083120 #15661220

Subgroups — C2×#13083120 #15661220

Order 2816.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083120C2132yesmaximal, direct product factor
2C2×#10623230C211yesmaximal, characteristic, complemented
3C2×#10623182C211yesmaximal, characteristic, complemented
4C2×#10623177C211yesmaximal, characteristic, complemented
5C2×#10623177C211yesmaximal, characteristic, complemented
6C2×#10623195C211yesmaximal, characteristic, complemented
7C2×#10623090C211yesmaximal, characteristic, complemented
8C2×#10623216C211yesmaximal, characteristic, complemented
9C2×#10623216C211yesmaximal, characteristic, complemented
10C2×#10623172C211yesmaximal, characteristic, complemented
11C2×#10623233C211yesmaximal, characteristic, complemented
12C2×#10623166C211yesmaximal, characteristic, complemented
13C2×#10623042C211yesmaximal, characteristic, complemented
14C2×#10623072C211yesmaximal, characteristic, complemented
15C2×#10623239C211yesmaximal, characteristic, complemented
16C2×#10623044C211yesmaximal, characteristic, complemented
17C2×#10623224C211yesmaximal, characteristic, complemented
18C2×#10623193C211yesmaximal, characteristic, complemented
19C2×#10623193C211yesmaximal, characteristic, complemented
20C2×#10623193C211yesmaximal, characteristic, complemented
21C2×#10623134C211yesmaximal, characteristic, complemented
22C2×#10623241C211yesmaximal, characteristic, complemented
23C2×#10623092C211yesmaximal, characteristic, complemented
24C2×#10623232C211yesmaximal, characteristic, complemented
25C2×#10623146C211yesmaximal, characteristic
26C2×#10623169C211yesmaximal, characteristic, complemented
27C2×#10623196C211yesmaximal, characteristic, complemented
28C2×#10623191C211yesmaximal, characteristic, complemented
29C2×#10623153C211yesmaximal, characteristic, complemented
30C2×#10623069C211yesmaximal, characteristic, complemented
31C2×#10623180C211yesmaximal, characteristic, complemented
32C2×C11×#539C211yesmaximal, characteristic, complemented
33C11×#539C22116yescomplemented
34C2×C11×#126C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic
36C2×C11×#125C2211yescharacteristic
37C2×C11×#125C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic
41C2×C11×#123C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×C22⋊Q8C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C22×C11×C4⋊C4C2211yescharacteristic
49C2×#66999C2211yescharacteristic
50C2×#66999C2211yescharacteristic
51C2×Q8×Dic11C2211yescharacteristic
52C2×#66997C2211yescharacteristic
53C2×#66993C2211yescharacteristic
54C2×#66992C2211yescharacteristic
55C2×#66992C2211yescharacteristic
56C2×#66992C2211yescharacteristic
57C2×#66991C2211yescharacteristic
58C2×#66989C2211yescharacteristic
59C2×#66989C2211yescharacteristic
60C2×#66989C2211yescharacteristic
61C2×#66988C2211yescharacteristic
62C2×#66988C2211yescharacteristic
63C2×#66988C2211yescharacteristic
64C2×D4×Dic11C2211yescharacteristic
65C2×#66982C2211yescharacteristic
66C2×#66982C2211yescharacteristic
67C2×#66982C2211yescharacteristic
68C2×#66982C2211yescharacteristic
69C2×C4×C22⋊D11C2211yescharacteristic
70C2×C4×C22⋊D11C2211yescharacteristic
71C2×C4×C22⋊D11C2211yescharacteristic
72C2×C4×C22⋊D11C2211yescharacteristic
73C2×C4×C22⋊D11C2211yescharacteristic
74C2×C4×C22⋊D11C2211yescharacteristic
75C2×#66979C2211yescharacteristic
76C2×#66979C2211yescharacteristic
77C22×C4⋊Dic11C2211yescharacteristic
78C2×#66977C2211yescharacteristic
79C2×#66977C2211yescharacteristic
80C2×#66977C2211yescharacteristic
81C2×#66977C2211yescharacteristic
82C2×#66977C2211yescharacteristic
83C2×#66977C2211yescharacteristic
84C22×C4×Dic11C2211yescharacteristic
85#10623241C22116yescomplemented
86#10623239C22116yescomplemented
87#10623233C22116yescomplemented
88#10623232C22116yescomplemented
89#10623230C22116yescomplemented
90#10623224C22116yescomplemented
91#10623216C22116yescomplemented
92#10623216C22116yescomplemented
93#10623196C22116yescomplemented
94#10623195C22116yescomplemented
95#10623193C22116yescomplemented
96#10623193C22116yescomplemented
97#10623193C22116yescomplemented
98#10623191C22116yescomplemented
99#10623182C22116yescomplemented
100#10623180C22116yescomplemented
101#10623177C22116yescomplemented
102#10623177C22116yescomplemented
103#10623172C22116yescomplemented
104#10623169C22116yescomplemented
105#10623166C22116yescomplemented
106#10623153C22116yescomplemented
107#10623146C22116yes—
108#10623134C22116yescomplemented
109#10623092C22116yescomplemented
110#10623090C22116yescomplemented
111#10623072C22116yescomplemented
112#10623069C22116yescomplemented
113#10623044C22116yescomplemented
114C2×#66951C2211yescharacteristic
115C2×#66951C2211yescharacteristic
116C2×#66951C2211yescharacteristic
117C2×#66951C2211yescharacteristic
118C2×#66951C2211yescharacteristic
119C2×#66951C2211yescharacteristic
120C2×#66951C2211yescharacteristic
121C2×#66951C2211yescharacteristic
122#10623042C22116yescomplemented
123C2×#66950C2211yescharacteristic
124C2×#66950C2211yescharacteristic
125C2×#66950C2211yescharacteristic
126C2×#66949C2211yescharacteristic
127C2×#66949C2211yescharacteristic
128C2×#66949C2211yescharacteristic
129C2×#66949C2211yescharacteristic
130C2×#66949C2211yescharacteristic
131C2×#66947C2211yescharacteristic
132C2×#66947C2211yescharacteristic
133C2×#66947C2211yescharacteristic
134C2×#66946C2211yescharacteristic
135C2×#66945C2211yescharacteristic
136C2×#66945C2211yescharacteristic
137C2×C4⋊C4×D11C2211yescharacteristic
138C2×C4⋊C4×D11C2211yescharacteristic
139C2×#66943C2211yescharacteristic
140C2×#66943C2211yescharacteristic
141C2×#66943C2211yescharacteristic
142C2×#66942C2211yescharacteristic
143C2×#66942C2211yescharacteristic
144C2×#66942C2211yescharacteristic
145C2×#66942C2211yescharacteristic
146C2×#66942C2211yescharacteristic
147C2×#66942C2211yescharacteristic
148C2×#66942C2211yescharacteristic
149C2×#66942C2211yescharacteristic
150C2×#66942C2211yescharacteristic
151C2×#66942C2211yescharacteristic
152C2×#66942C2211yescharacteristic
153C2×#66942C2211yescharacteristic
154C2×#66941C2211yescharacteristic
155C2×#66941C2211yescharacteristic
156C2×#66941C2211yescharacteristic
157C2×#66941C2211yescharacteristic
158C2×#66941C2211yescharacteristic
159C2×#66941C2211yescharacteristic
160C2×#66941C2211yescharacteristic
161C2×#66941C2211yescharacteristic
162C2×#66940C2211yescharacteristic
163C2×#66940C2211yescharacteristic
164C2×#66940C2211yescharacteristic
165C2×#66940C2211yescharacteristic
166C2×#66940C2211yescharacteristic
167C2×#66940C2211yescharacteristic
168C2×#66940C2211yescharacteristic
169C2×#66940C2211yescharacteristic
170C2×#66940C2211yescharacteristic
171C2×#66939C2211yescharacteristic
172C2×#66938C2211yescharacteristic
173C2×#66938C2211yescharacteristic
174C2×#66938C2211yescharacteristic
175C2×#66938C2211yescharacteristic
176C2×#66938C2211yescharacteristic
177C2×#66938C2211yescharacteristic
178C2×#66938C2211yescharacteristic
179C2×#66938C2211yescharacteristic
180C2×#66937C2211yescharacteristic
181C2×#66936C2211yescharacteristic
182C2×#66936C2211yescharacteristic
183C2×#66936C2211yescharacteristic
184C2×#66936C2211yescharacteristic
185C2×#66936C2211yescharacteristic
186C2×(C22⋊D11)⋊C4C2211yescharacteristic
187C2×(C22⋊D11)⋊C4C2211yescharacteristic
188C2×(C22⋊D11)⋊C4C2211yescharacteristic
189C2×(C22⋊D11)⋊C4C2211yescharacteristic
190C2×#66932C2211yescharacteristic
191C2×#66932C2211yescharacteristic
192C2×#66932C2211yescharacteristic
193C2×#66932C2211yescharacteristic
194C2×#66932C2211yescharacteristic
195C2×#66932C2211yescharacteristic
196C2×#66932C2211yescharacteristic
197C2×#66932C2211yescharacteristic
198C2×#66932C2211yescharacteristic
199C2×#66932C2211yescharacteristic
200C2×#66931C2211yescharacteristic
201C2×#66931C2211yescharacteristic
202C2×#66931C2211yescharacteristic
203C2×#66931C2211yescharacteristic
204C2×#66931C2211yescharacteristic
205C2×#66931C2211yescharacteristic
206C2×#66931C2211yescharacteristic
207C2×#66930C2211yescharacteristic
208C2×#66930C2211yescharacteristic
209C2×#66930C2211yescharacteristic
210C2×#66930C2211yescharacteristic
211C2×#66928C2211yescharacteristic
212C2×#66925C2211yescharacteristic
213C2×#66925C2211yescharacteristic
214C2×#66923C2211yescharacteristic
215C2×C4×Dic22C2211yescharacteristic
216C2×C4×Dic22C2211yescharacteristic
217C2×C4×Dic22C2211yescharacteristic
218C2×C4×Dic22C2211yescharacteristic
219C22×Q8×C11C2311yescharacteristic
220C22×D4×C11C2311yescharacteristic
221C22×D4×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C23×C4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C22×C22⋊D11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C23×Dic11C2311yescharacteristic
235C23×Dic11C2311yescharacteristic
236C23×Dic11C2311yescharacteristic
237C23×Dic11C2311yescharacteristic
238C22×D44C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×Dic22C2311yescharacteristic
246C22×Dic22C2311yescharacteristic
247C22×Dic22C2311yescharacteristic
248C22×Dic22C2311yescharacteristic
249C22×Dic22C2311yescharacteristic
250C22×Dic22C2311yescharacteristic
251C22×Dic22C2311yescharacteristic
252C22×Dic22C2311yescharacteristic
253C22×Dic22C2311yescharacteristic
254C11×#126C2318yes—
255C11×#126C2318yes—
256C11×#125C2318yes—
257C11×#125C2318yes—
258C11×#123C2318yes—
259C11×#123C2318yes—
260C11×#123C2318yes—
261C11×#123C2318yes—
262C11×C22⋊Q8C2318yes—
263C11×C22⋊Q8C2318yes—
264C11×C22⋊Q8C2318yes—
265C11×#121C2318yes—
266C4×D4×C11C2318yes—
267C4×D4×C11C2318yes—
268C2×C11×C4⋊C4C2311yescharacteristic
269C2×C11×C4⋊C4C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271C2×C11×C4⋊C4C2311yescharacteristic
272C2×C11×C4⋊C4C2311yescharacteristic
273C2×C11×C4⋊C4C2311yescharacteristic
274C2×C11×C4⋊C4C2311yescharacteristic
275C2×C11×C4⋊C4C2311yescharacteristic
276C2×C11×C4⋊C4C2311yescharacteristic
277C2×C11×C4⋊C4C2311yescharacteristic
278C2×C11×C4⋊C4C2311yescharacteristic
279C2×C11×C4⋊C4C2311yescharacteristic
280C2×C11×C4⋊C4C2311yescharacteristic
281C2×C11×C4⋊C4C2311yescharacteristic
282C2×C11×C4⋊C4C2318yes—
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C42×C11C2311yescharacteristic
294C2×C42×C11C2311yescharacteristic
295C2×C22⋊Dic11C2311yescharacteristic
296C2×C22⋊Dic11C2311yescharacteristic
297C2×C22⋊Dic11C2311yescharacteristic
298C2×C22⋊Dic11C2311yescharacteristic
299C2×C22⋊Dic11C2311yescharacteristic
300C2×C22⋊Dic11C2311yescharacteristic
301C2×C22⋊Dic11C2311yescharacteristic
302C2×C22⋊Dic11C2311yescharacteristic
303C2×C22⋊Dic11C2311yescharacteristic
304C2×C22⋊Dic11C2311yescharacteristic
305C2×C22⋊Dic11C2311yescharacteristic
306C2×C22⋊Dic11C2311yescharacteristic
307C2×C22⋊Dic11C2311yescharacteristic
308C2×C22⋊Dic11C2311yescharacteristic
309#66999C2318yes—
310#66999C2318yes—
311Q8×Dic11C2318yes—
312#66997C2318yes—
313#66993C2318yes—
314#66992C2318yes—
315#66992C2318yes—
316#66992C2318yes—
317#66991C2318yes—
318#66989C2318yes—
319#66989C2318yes—
320#66989C2318yes—
321#66988C2318yes—
322#66988C2318yes—
323#66988C2318yes—
324D4×Dic11C2318yes—
325#66982C2318yes—
326#66982C2318yes—
327#66982C2318yes—
328#66982C2318yes—
329C4×C22⋊D11C2318yes—
330C4×C22⋊D11C2318yes—
331C4×C22⋊D11C2318yes—
332C4×C22⋊D11C2318yes—
333C4×C22⋊D11C2318yes—
334C4×C22⋊D11C2318yes—
335C2×(C2×D11)⋊C4C2311yescharacteristic
336C2×(C2×D11)⋊C4C2311yescharacteristic
337C2×(C2×D11)⋊C4C2311yescharacteristic
338C2×(C2×D11)⋊C4C2311yescharacteristic
339C2×(C2×D11)⋊C4C2311yescharacteristic
340C2×(C2×D11)⋊C4C2311yescharacteristic
341C2×(C2×D11)⋊C4C2311yescharacteristic
342C2×(C2×D11)⋊C4C2311yescharacteristic
343C2×(C2×D11)⋊C4C2311yescharacteristic
344C2×(C2×D11)⋊C4C2311yescharacteristic
345C2×(C2×D11)⋊C4C2311yescharacteristic
346C2×(C2×D11)⋊C4C2311yescharacteristic
347C2×(C2×D11)⋊C4C2311yescharacteristic
348C2×(C2×D11)⋊C4C2311yescharacteristic
349C2×(C2×D11)⋊C4C2311yescharacteristic
350C2×(C2×D11)⋊C4C2311yescharacteristic
351#66979C2318yes—
352#66979C2318yes—
353C2×C4⋊Dic11C2311yescharacteristic
354C2×C4⋊Dic11C2311yescharacteristic
355C2×C4⋊Dic11C2311yescharacteristic
356C2×C4⋊Dic11C2311yescharacteristic
357C2×C4⋊Dic11C2311yescharacteristic
358C2×C4⋊Dic11C2311yescharacteristic
359C2×C4⋊Dic11C2311yescharacteristic
360C2×C4⋊Dic11C2311yescharacteristic
361C2×C4⋊Dic11C2311yescharacteristic
362C2×C4⋊Dic11C2311yescharacteristic
363C2×C4⋊Dic11C2311yescharacteristic
364C2×C4⋊Dic11C2311yescharacteristic
365C2×C4⋊Dic11C2311yescharacteristic
366C2×C4⋊Dic11C2311yescharacteristic
367C2×C4⋊Dic11C2318yes—
368#66977C2318yes—
369#66977C2318yes—
370#66977C2318yes—
371#66977C2318yes—
372#66977C2318yes—
373#66977C2318yes—
374C2×Dic11⋊C4C2311yescharacteristic
375C2×Dic11⋊C4C2311yescharacteristic
376C2×Dic11⋊C4C2311yescharacteristic
377C2×Dic11⋊C4C2311yescharacteristic
378C2×Dic11⋊C4C2311yescharacteristic
379C2×Dic11⋊C4C2311yescharacteristic
380C2×Dic11⋊C4C2311yescharacteristic
381C2×Dic11⋊C4C2311yescharacteristic
382C2×Dic11⋊C4C2311yescharacteristic
383C2×Dic11⋊C4C2311yescharacteristic
384C2×Dic11⋊C4C2311yescharacteristic
385C2×Dic11⋊C4C2311yescharacteristic
386C2×Dic11⋊C4C2311yescharacteristic
387C2×Dic11⋊C4C2311yescharacteristic
388C2×Dic11⋊C4C2311yescharacteristic
389C2×Dic11⋊C4C2311yescharacteristic
390C2×Dic11⋊C4C2311yescharacteristic
391C2×Dic11⋊C4C2311yescharacteristic
392C2×Dic11⋊C4C2311yescharacteristic
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×C4×Dic11C2311yescharacteristic
407C2×C4×Dic11C2311yescharacteristic
408C2×C4×Dic11C2311yescharacteristic
409C2×C4×Dic11C2311yescharacteristic
410C2×C4×Dic11C2311yescharacteristic
411C2×C4×Dic11C2311yescharacteristic
412C2×C4×Dic11C2311yescharacteristic
413C2×C4×Dic11C2311yescharacteristic
414C2×C4×Dic11C2311yescharacteristic
415C2×C4×Dic11C2311yescharacteristic
416C2×C4×Dic11C2311yescharacteristic
417C2×C4×Dic11C2311yescharacteristic
418C2×C4×Dic11C2311yescharacteristic
419C2×C4×Dic11C2311yescharacteristic
420C2×C4×Dic11C2311yescharacteristic
421C2×C4×Dic11C2311yescharacteristic
422C2×C4×Dic11C2311yescharacteristic
423C2×C4×Dic11C2311yescharacteristic
424C2×C4×Dic11C2318yes—
425#66951C2318yes—
426#66951C2318yes—
427#66951C2318yes—
428#66951C2318yes—
429#66951C2318yes—
430#66951C2318yes—
431#66951C2318yes—
432#66951C2318yes—
433#66950C2318yes—
434#66950C2318yes—
435#66950C2318yes—
436#66949C2318yes—
437#66949C2318yes—
438#66949C2318yes—
439#66949C2318yes—
440#66949C2318yes—
441#66947C2318yes—
442#66947C2318yes—
443#66947C2318yes—
444#66946C2318yes—
445#66945C2318yes—
446#66945C2318yes—
447C4⋊C4×D11C2318yes—
448C4⋊C4×D11C2318yes—
449#66943C2318yes—
450#66943C2318yes—
451#66943C2318yes—
452#66942C2318yes—
453#66942C2318yes—
454#66942C2318yes—
455#66942C2318yes—
456#66942C2318yes—
457#66942C2318yes—
458#66942C2318yes—
459#66942C2318yes—
460#66942C2318yes—
461#66942C2318yes—
462#66942C2318yes—
463#66942C2318yes—
464#66941C2318yes—
465#66941C2318yes—
466#66941C2318yes—
467#66941C2318yes—
468#66941C2318yes—
469#66941C2318yes—
470#66941C2318yes—
471#66941C2318yes—
472#66940C2318yes—
473#66940C2318yes—
474#66940C2318yes—
475#66940C2318yes—
476#66940C2318yes—
477#66940C2318yes—
478#66940C2318yes—
479#66940C2318yes—
480#66940C2318yes—
481#66939C2318yes—
482#66938C2318yes—
483#66938C2318yes—
484#66938C2318yes—
485#66938C2318yes—
486#66938C2318yes—
487#66938C2318yes—
488#66938C2318yes—
489#66938C2318yes—
490#66937C2318yes—
491#66936C2318yes—
492#66936C2318yes—
493#66936C2318yes—
494#66936C2318yes—
495#66936C2318yes—
496(C22⋊D11)⋊C4C2318yes—
497(C22⋊D11)⋊C4C2318yes—
498(C22⋊D11)⋊C4C2318yes—
499(C22⋊D11)⋊C4C2318yes—
500#66932C2318yes—
501#66932C2318yes—
502#66932C2318yes—
503#66932C2318yes—
504#66932C2318yes—
505#66932C2318yes—
506#66932C2318yes—
507#66932C2318yes—
508#66932C2318yes—
509#66932C2318yes—
510#66931C2318yes—
511#66931C2318yes—
512#66931C2318yes—
513#66931C2318yes—
514#66931C2318yes—
515#66931C2318yes—
516#66931C2318yes—
517#66930C2318yes—
518#66930C2318yes—
519#66930C2318yes—
520#66930C2318yes—
521#66928C2318yes—
522#66925C2318yes—
523#66925C2318yes—
524#66923C2318yes—
525C4×Dic22C2318yes—
526C4×Dic22C2318yes—
527C4×Dic22C2318yes—
528C4×Dic22C2318yes—
529C2×#3557—111nomaximal, Sylow
530C24×C11C2411yescharacteristic
531C24×C11C2411yescharacteristic
532C24×C11C2411yescharacteristic
533C23×D11C2411yescharacteristic
534C23×D11C2411yescharacteristic
535C2×Q8×C11—42no—
536C2×Q8×C11C2414yes—
537C2×D4×C11—42no—
538C2×D4×C11—42no—
539C2×D4×C11—42no—
540C2×D4×C11C2414yes—
541C2×D4×C11C2414yes—
542C2×D4×C11C2414yes—
543C22×C4×C11—42no—
544C22×C4×C11—42no—
545C22×C4×C11—42no—
546C22×C4×C11—42no—
547C22×C4×C11—42no—
548C22×C4×C11C2411yescharacteristic
549C22×C4×C11C2411yescharacteristic
550C22×C4×C11C2411yescharacteristic
551C22×C4×C11C2411yescharacteristic
552C22×C4×C11C2411yescharacteristic
553C22×C4×C11C2411yescharacteristic
554C22×C4×C11C2411yescharacteristic
555C22×C4×C11C2411yescharacteristic
556C22×C4×C11C2411yescharacteristic
557C22×C4×C11C2411yescharacteristic
558C22×C4×C11C2411yescharacteristic
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2414yes—
561C22×C4×C11C2414yes—
562C22×C4×C11C2414yes—
563C22×C4×C11C2414yes—
564C22×C4×C11C2414yes—
565C2×C22⋊D11—24no—
566C2×C22⋊D11—24no—
567C2×C22⋊D11—42no—
568C2×C22⋊D11—42no—
569C2×C22⋊D11—42no—
570C2×C22⋊D11—42no—
571C2×C22⋊D11C2414yes—
572C2×C22⋊D11C2414yes—
573C2×C22⋊D11C2414yes—
574C2×C22⋊D11C2414yes—
575C2×C22⋊D11C2414yes—
576C2×C22⋊D11C2414yes—
577C22×Dic11—24no—
578C22×Dic11—42no—
579C22×Dic11—42no—
580C22×Dic11—42no—
581C22×Dic11C2414yes—
582C22×Dic11C2411yescharacteristic
583C22×Dic11C2411yescharacteristic
584C22×Dic11C2411yescharacteristic
585C22×Dic11C2411yescharacteristic
586C22×Dic11C2411yescharacteristic
587C22×Dic11C2411yescharacteristic
588C22×Dic11C2411yescharacteristic
589C22×Dic11C2411yescharacteristic
590C22×Dic11C2411yescharacteristic
591C22×Dic11C2411yescharacteristic
592C22×Dic11C2411yescharacteristic
593C22×Dic11C2411yescharacteristic
594C22×Dic11C2411yescharacteristic
595C22×Dic11C2414yes—
596C22×Dic11C2414yes—
597C22×Dic11C2414yes—
598C22×Dic11C2411yescharacteristic
599C2×D44—42no—
600C2×D44C2414yes—
601C2×C4×D11—42no—
602C2×C4×D11—42no—
603C2×C4×D11—42no—
604C2×C4×D11—42no—
605C2×C4×D11—42no—
606C2×C4×D11—42no—
607C2×C4×D11C2414yes—
608C2×C4×D11C2414yes—
609C2×C4×D11C2414yes—
610C2×C4×D11C2414yes—
611C2×C4×D11C2414yes—
612C2×C4×D11C2414yes—
613C2×Dic22—24no—
614C2×Dic22—24no—
615C2×Dic22—42no—
616C2×Dic22—42no—
617C2×Dic22—42no—
618C2×Dic22—42no—
619C2×Dic22—42no—
620C2×Dic22—42no—
621C2×Dic22—42no—
622C2×Dic22C2414yes—
623C2×Dic22C2414yes—
624C2×Dic22C2414yes—
625C2×Dic22C2414yes—
626C2×Dic22C2414yes—
627C2×Dic22C2414yes—
628C2×Dic22C2414yes—
629C2×Dic22C2414yes—
630C2×Dic22C2414yes—
631C11×C4⋊C4C2414yes—
632C11×C4⋊C4C2414yes—
633C11×C4⋊C4C2414yes—
634C11×C4⋊C4C2414yes—
635C11×C4⋊C4C2414yes—
636C11×C4⋊C4C2414yes—
637C11×C4⋊C4C2414yes—
638C11×C4⋊C4C2414yes—
639C11×C4⋊C4C2414yes—
640C11×C4⋊C4C2414yes—
641C11×C4⋊C4C2414yes—
642C11×C4⋊C4C2414yes—
643C11×C4⋊C4C2414yes—
644C11×C4⋊C4C2414yes—
645C11×C22⋊C4C2414yes—
646C11×C22⋊C4C2414yes—
647C11×C22⋊C4C2414yes—
648C11×C22⋊C4C2414yes—
649C11×C22⋊C4C2414yes—
650C11×C22⋊C4C2414yes—
651C11×C22⋊C4C2414yes—
652C11×C22⋊C4C2414yes—
653C11×C22⋊C4C2414yes—
654C11×C22⋊C4C2414yes—
655C42×C11C2414yes—
656C42×C11C2414yes—
657C22⋊Dic11C2414yes—
658C22⋊Dic11C2414yes—
659C22⋊Dic11C2414yes—
660C22⋊Dic11C2414yes—
661C22⋊Dic11C2414yes—
662C22⋊Dic11C2414yes—
663C22⋊Dic11C2414yes—
664C22⋊Dic11C2414yes—
665C22⋊Dic11C2414yes—
666C22⋊Dic11C2414yes—
667C22⋊Dic11C2414yes—
668C22⋊Dic11C2414yes—
669C22⋊Dic11C2414yes—
670C22⋊Dic11C2414yes—
671(C2×D11)⋊C4C2414yes—
672(C2×D11)⋊C4C2414yes—
673(C2×D11)⋊C4C2414yes—
674(C2×D11)⋊C4C2414yes—
675(C2×D11)⋊C4C2414yes—
676(C2×D11)⋊C4C2414yes—
677(C2×D11)⋊C4C2414yes—
678(C2×D11)⋊C4C2414yes—
679(C2×D11)⋊C4C2414yes—
680(C2×D11)⋊C4C2414yes—
681(C2×D11)⋊C4C2414yes—
682(C2×D11)⋊C4C2414yes—
683(C2×D11)⋊C4C2414yes—
684(C2×D11)⋊C4C2414yes—
685(C2×D11)⋊C4C2414yes—
686(C2×D11)⋊C4C2414yes—
687C4⋊Dic11C2414yes—
688C4⋊Dic11C2414yes—
689C4⋊Dic11C2414yes—
690C4⋊Dic11C2414yes—
691C4⋊Dic11C2414yes—
692C4⋊Dic11C2414yes—
693C4⋊Dic11C2414yes—
694C4⋊Dic11C2414yes—
695C4⋊Dic11C2414yes—
696C4⋊Dic11C2414yes—
697C4⋊Dic11C2414yes—
698C4⋊Dic11C2414yes—
699C4⋊Dic11C2414yes—
700C4⋊Dic11C2414yes—
701Dic11⋊C4C2414yes—
702Dic11⋊C4C2414yes—
703Dic11⋊C4C2414yes—
704Dic11⋊C4C2414yes—
705Dic11⋊C4C2414yes—
706Dic11⋊C4C2414yes—
707Dic11⋊C4C2414yes—
708Dic11⋊C4C2414yes—
709Dic11⋊C4C2414yes—
710Dic11⋊C4C2414yes—
711Dic11⋊C4C2414yes—
712Dic11⋊C4C2414yes—
713Dic11⋊C4C2414yes—
714Dic11⋊C4C2414yes—
715Dic11⋊C4C2414yes—
716Dic11⋊C4C2414yes—
717Dic11⋊C4C2414yes—
718Dic11⋊C4C2414yes—
719Dic11⋊C4C2414yes—
720Dic11⋊C4C2414yes—
721Dic11⋊C4C2414yes—
722Dic11⋊C4C2414yes—
723Dic11⋊C4C2414yes—
724Dic11⋊C4C2414yes—
725Dic11⋊C4C2414yes—
726Dic11⋊C4C2414yes—
727Dic11⋊C4C2414yes—
728Dic11⋊C4C2414yes—
729Dic11⋊C4C2414yes—
730Dic11⋊C4C2414yes—
731Dic11⋊C4C2414yes—
732Dic11⋊C4C2414yes—
733C4×Dic11C2414yes—
734C4×Dic11C2414yes—
735C4×Dic11C2414yes—
736C4×Dic11C2414yes—
737C4×Dic11C2414yes—
738C4×Dic11C2414yes—
739C4×Dic11C2414yes—
740C4×Dic11C2414yes—
741C4×Dic11C2414yes—
742C4×Dic11C2414yes—
743C4×Dic11C2414yes—
744C4×Dic11C2414yes—
745C4×Dic11C2414yes—
746C4×Dic11C2414yes—
747C4×Dic11C2414yes—
748C4×Dic11C2414yes—
749C4×Dic11C2414yes—
750C4×Dic11C2414yes—
751#3557—1132no—
752C2×#563—111no—
753C2×#563—111no—
754C2×#563—111no—
755C2×#563—111no—
756C2×#559—111no—
757C2×#559—111no—
758C2×#557—111no—
759C2×#557—111no—
760C2×#556—111no—
761C2×#556—111no—
762C2×#554—111no—
763C2×#554—111no—
764C2×#552—111no—
765C2×#552—111no—
766C2×#552—111no—
767C2×#552—111no—
768C2×#542—111no—
769C2×#542—111no—
770C2×#542—111no—
771C2×#542—111no—
772C2×#542—111no—
773C2×#542—111no—
774C2×#541—111no—
775C2×#540—111no—
776C2×#539—111no—
777C2×#539—111no—
778C2×#539—111no—
779C2×#539D1111yescharacteristic, complemented
780C2×#533—111no—
781C2×#529—111no—
782C2×#529—111no—
783C23×C11—22no—
784C23×C11—22no—
785C23×C11—22no—
786C23×C11—22no—
787C23×C11—22no—
788C23×C11—22no—
789C23×C11—22no—
790C23×C11—22no—
791C23×C11—22no—
792C23×C11C2512yes—
793C23×C11C2512yes—
794C23×C11C2512yes—
795C23×C11C2511yescharacteristic
796C22×D11—22no—
797C22×D11—22no—
798C22×D11—22no—
799C22×D11—22no—
800C22×D11—22no—
801C22×D11—22no—
802C22×D11C2512yes—
803C22×D11C2512yes—
804Q8×C11—44no—
805D4×C11—44no—
806D4×C11—44no—
807D4×C11—44no—
808C2×C4×C11—22no—
809C2×C4×C11—22no—
810C2×C4×C11—22no—
811C2×C4×C11—22no—
812C2×C4×C11—22no—
813C2×C4×C11—22no—
814C2×C4×C11—22no—
815C2×C4×C11—22no—
816C2×C4×C11—22no—
817C2×C4×C11—22no—
818C2×C4×C11—22no—
819C2×C4×C11—22no—
820C2×C4×C11—44no—
821C2×C4×C11—44no—
822C2×C4×C11—44no—
823C2×C4×C11—44no—
824C2×C4×C11—44no—
825C2×C4×C11C2512yes—
826C2×C4×C11C2512yes—
827C2×C4×C11C2512yes—
828C2×C4×C11C2512yes—
829C2×C4×C11C2512yes—
830C2×C4×C11C2512yes—
831C2×C4×C11C2512yes—
832C2×C4×C11C2512yes—
833C2×C4×C11C2512yes—
834C2×C4×C11C2512yes—
835C2×C4×C11C2512yes—
836C2×C4×C11C2512yes—
837C22⋊D11—28no—
838C22⋊D11—28no—
839C22⋊D11—44no—
840C22⋊D11—44no—
841C22⋊D11—44no—
842C22⋊D11—44no—
843C2×Dic11—22no—
844C2×Dic11—22no—
845C2×Dic11—22no—
846C2×Dic11—22no—
847C2×Dic11—22no—
848C2×Dic11—22no—
849C2×Dic11—22no—
850C2×Dic11—22no—
851C2×Dic11—22no—
852C2×Dic11—22no—
853C2×Dic11—22no—
854C2×Dic11—22no—
855C2×Dic11—22no—
856C2×Dic11—28no—
857C2×Dic11—44no—
858C2×Dic11—44no—
859C2×Dic11—44no—
860C2×Dic112−1+414yes—
861C2×Dic11C2512yes—
862C2×Dic11C2512yes—
863C2×Dic11C2512yes—
864C2×Dic11C2512yes—
865C2×Dic11C2512yes—
866C2×Dic11C2512yes—
867C2×Dic11C2512yes—
868C2×Dic11C2512yes—
869C2×Dic11C2512yes—
870C2×Dic11C2512yes—
871C2×Dic11C2512yes—
872C2×Dic11C2512yes—
873C2×Dic11C2512yes—
874C2×Dic11C2512yes—
875D44—44no—
876C4×D11—44no—
877C4×D11—44no—
878C4×D11—44no—
879C4×D11—44no—
880C4×D11—44no—
881C4×D11—44no—
882Dic22—28no—
883Dic22—28no—
884Dic22—44no—
885Dic22—44no—
886Dic22—44no—
887Dic22—44no—
888Dic22—44no—
889Dic22—44no—
890Dic22—44no—
891#563—1116no—
892#563—1116no—
893#563—1116no—
894#563—1116no—
895#559—1116no—
896#559—1116no—
897#557—1116no—
898#557—1116no—
899#556—1116no—
900#556—1116no—
901#554—1116no—
902#554—1116no—
903#552—1116no—
904#552—1116no—
905#552—1116no—
906#552—1116no—
907#542—1116no—
908#542—1116no—
909#542—1116no—
910#542—1116no—
911#542—1116no—
912#542—1116no—
913#541—1116no—
914#540—1116no—
915#539—1116no—
916#539—1116no—
917#539—1116no—
918#539C2×D11116yescomplemented
919#533—1116no—
920C2×C4⋊Q8—111no—
921C2×C4⋊Q8—111no—
922C2×C4⋊Q8—111no—
923C2×C4⋊Q8—111no—
924C2×C4⋊Q8—111no—
925C2×C4⋊Q8—111no—
926C2×C4⋊Q8—111no—
927C2×C4⋊Q8—111no—
928C2×C4⋊Q8—111no—
929C2×#127—111no—
930#529—1116no—
931#529—1116no—
932C2×#126—111no—
933C2×#126—111no—
934C2×#126—111no—
935C2×#126—111no—
936C2×#126—111no—
937C2×#126—111no—
938C2×#126—111no—
939C2×#126—111no—
940C2×#126—111no—
941C2×#126—111no—
942C2×#126—111no—
943C2×#126—111no—
944C2×#126—111no—
945C2×#126—111no—
946C2×#126—111no—
947C2×#126—111no—
948C2×#126—111no—
949C2×#126—111no—
950C2×#126C2×D1111yescharacteristic
951C2×#126C2×D1111yescharacteristic
952C2×#125—111no—
953C2×#125—111no—
954C2×#125—111no—
955C2×#125—111no—
956C2×#125—111no—
957C2×#125—111no—
958C2×#125—111no—
959C2×#125—111no—
960C2×#125—111no—
961C2×#125—111no—
962C2×#125—111no—
963C2×#125—111no—
964C2×#125—111no—
965C2×#125—111no—
966C2×#125—111no—
967C2×#125—111no—
968C2×#125C2×D1111yescharacteristic
969C2×#125C2×D1111yescharacteristic
970C2×#124—111no—
971C2×#124—111no—
972C2×#124—111no—
973C2×#124—111no—
974C2×#124—111no—
975C2×#124—111no—
976C2×#124—111no—
977C2×#124—111no—
978C2×#124—111no—
979C2×#124—111no—
980C2×#124—111no—
981C2×#124—111no—
982C2×#123—111no—
983C2×#123—111no—
984C2×#123—111no—
985C2×#123—111no—
986C2×#123—111no—
987C2×#123—111no—
988C2×#123—111no—
989C2×#123—111no—
990C2×#123—111no—
991C2×#123—111no—
992C2×#123—111no—
993C2×#123—111no—
994C2×#123—111no—
995C2×#123—111no—
996C2×#123—111no—
997C2×#123—111no—
998C2×#123C2×D1111yescharacteristic
999C2×#123C2×D1111yescharacteristic
1000C2×#123C2×D1111yescharacteristic
1001C2×#123C2×D1111yescharacteristic
1002C2×C22⋊Q8—111no—
1003C2×C22⋊Q8—111no—
1004C2×C22⋊Q8—111no—
1005C2×C22⋊Q8—111no—
1006C2×C22⋊Q8—111no—
1007C2×C22⋊Q8—111no—
1008C2×C22⋊Q8—111no—
1009C2×C22⋊Q8—111no—
1010C2×C22⋊Q8—111no—
1011C2×C22⋊Q8—111no—
1012C2×C22⋊Q8—111no—
1013C2×C22⋊Q8—111no—
1014C2×C22⋊Q8—111no—
1015C2×C22⋊Q8—111no—
1016C2×C22⋊Q8—111no—
1017C2×C22⋊Q8—111no—
1018C2×C22⋊Q8—111no—
1019C2×C22⋊Q8—111no—
1020C2×C22⋊Q8—111no—
1021C2×C22⋊Q8—111no—
1022C2×C22⋊Q8—111no—
1023C2×C22⋊Q8—111no—
1024C2×C22⋊Q8—111no—
1025C2×C22⋊Q8C2×D1111yescharacteristic
1026C2×C22⋊Q8C2×D1111yescharacteristic
1027C2×C22⋊Q8C2×D1111yescharacteristic
1028C2×#121—111no—
1029C2×#121—111no—
1030C2×#121—111no—
1031C2×#121—111no—
1032C2×#121—111no—
1033C2×#121C2×D1111yescharacteristic
1034C2×C4×Q8—111no—
1035C2×C4×Q8—111no—
1036C2×C4×Q8—111no—
1037C2×C4×Q8—111no—
1038C2×C4×Q8—111no—
1039C2×C4×Q8—111no—
1040C2×C4×Q8—111no—
1041C2×C4×Q8—111no—
1042C2×C4×Q8—111no—
1043C2×C4×Q8—111no—
1044C2×C4×Q8—111no—
1045C2×C4×Q8—111no—
1046C2×C4×Q8—111no—
1047C2×C4×Q8—111no—
1048C2×C4×D4—111no—
1049C2×C4×D4—111no—
1050C2×C4×D4—111no—
1051C2×C4×D4—111no—
1052C2×C4×D4—111no—
1053C2×C4×D4—111no—
1054C2×C4×D4—111no—
1055C2×C4×D4—111no—
1056C2×C4×D4—111no—
1057C2×C4×D4—111no—
1058C2×C4×D4—111no—
1059C2×C4×D4—111no—
1060C2×C4×D4C2×D1111yescharacteristic
1061C2×C4×D4C2×D1111yescharacteristic
1062C2×#117—111no—
1063C2×#117—111no—
1064C2×#117—111no—
1065C2×#117—111no—
1066C2×#117—111no—
1067C2×#117—111no—
1068C2×#117—111no—
1069C2×#117—111no—
1070C2×#117—111no—
1071C2×#117—111no—
1072C22×C4⋊C4—111no—
1073C22×C4⋊C4—111no—
1074C22×C4⋊C4—111no—
1075C22×C4⋊C4C2×D1111yescharacteristic
1076C22×C42—111no—
1077C22×C11—22no—
1078C22×C11—22no—
1079C22×C11—22no—
1080C22×C11—22no—
1081C22×C11—22no—
1082C22×C11—22no—
1083C22×C11—22no—
1084C22×C11—22no—
1085C22×C11—22no—
1086C22×C11—44no—
1087C22×C11—44no—
1088C22×C11—44no—
1089C22×C11C2×2−1+412yes—
1090C22×C11#58512yes—
1091C22×C11#58512yes—
1092C22×C11C2611yescharacteristic
1093C2×D11—22no—
1094C2×D11—22no—
1095C2×D11—22no—
1096C2×D11—22no—
1097C2×D11—22no—
1098C2×D11—22no—
1099C2×D11—44no—
1100C2×D11—44no—
1101C4×C11—22no—
1102C4×C11—22no—
1103C4×C11—22no—
1104C4×C11—22no—
1105C4×C11—22no—
1106C4×C11—22no—
1107C4×C11—22no—
1108C4×C11—22no—
1109C4×C11—22no—
1110C4×C11—22no—
1111C4×C11—22no—
1112C4×C11—22no—
1113Dic11—22no—
1114Dic11—22no—
1115Dic11—22no—
1116Dic11—22no—
1117Dic11—22no—
1118Dic11—22no—
1119Dic11—22no—
1120Dic11—22no—
1121Dic11—22no—
1122Dic11—22no—
1123Dic11—22no—
1124Dic11—22no—
1125Dic11—22no—
1126Dic11C2×2−1+414yes—
1127C22×Q8—111no—
1128C22×Q8—111no—
1129C22×Q8—111no—
1130C22×Q8—111no—
1131C22×Q8—111no—
1132C22×Q8—111no—
1133C22×Q8—111no—
1134C22×Q8—111no—
1135C22×Q8—111no—
1136C22×Q8C22×D1111yescharacteristic
1137C22×D4—111no—
1138C22×D4—111no—
1139C22×D4—111no—
1140C22×D4—111no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4C22×D1111yescharacteristic
1145C22×D4C22×D1111yescharacteristic
1146C22×D4C22×D1111yescharacteristic
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—111no—
1150C23×C4—111no—
1151C23×C4—111no—
1152C23×C4—111no—
1153C23×C4—111no—
1154C23×C4—111no—
1155C23×C4—111no—
1156C23×C4—111no—
1157C23×C4C22×D1111yescharacteristic
1158C23×C4C22×D1111yescharacteristic
1159C23×C4C22×D1111yescharacteristic
1160C23×C4C22×D1111yescharacteristic
1161C23×C4C22×D1111yescharacteristic
1162C4⋊Q8—118no—
1163C4⋊Q8—118no—
1164C4⋊Q8—118no—
1165C4⋊Q8—118no—
1166C4⋊Q8—118no—
1167C4⋊Q8—118no—
1168C4⋊Q8—118no—
1169C4⋊Q8—118no—
1170C4⋊Q8—118no—
1171#127—118no—
1172#126—118no—
1173#126—118no—
1174#126—118no—
1175#126—118no—
1176#126—118no—
1177#126—118no—
1178#126—118no—
1179#126—118no—
1180#126—118no—
1181#126—118no—
1182#126—118no—
1183#126—118no—
1184#126—118no—
1185#126—118no—
1186#126—118no—
1187#126—118no—
1188#126—118no—
1189#126—118no—
1190#126C22×D1118yes—
1191#126C22×D1118yes—
1192#125—118no—
1193#125—118no—
1194#125—118no—
1195#125—118no—
1196#125—118no—
1197#125—118no—
1198#125—118no—
1199#125—118no—
1200#125—118no—
1201#125—118no—
1202#125—118no—
1203#125—118no—
1204#125—118no—
1205#125—118no—
1206#125—118no—
1207#125—118no—
1208#125C22×D1118yes—
1209#125C22×D1118yes—
1210#124—118no—
1211#124—118no—
1212#124—118no—
1213#124—118no—
1214#124—118no—
1215#124—118no—
1216#124—118no—
1217#124—118no—
1218#124—118no—
1219#124—118no—
1220#124—118no—
1221#124—118no—
1222#123—118no—
1223#123—118no—
1224#123—118no—
1225#123—118no—
1226#123—118no—
1227#123—118no—
1228#123—118no—
1229#123—118no—
1230#123—118no—
1231#123—118no—
1232#123—118no—
1233#123—118no—
1234#123—118no—
1235#123—118no—
1236#123—118no—
1237#123—118no—
1238#123C22×D1118yes—
1239#123C22×D1118yes—
1240#123C22×D1118yes—
1241#123C22×D1118yes—
1242C22⋊Q8—118no—
1243C22⋊Q8—118no—
1244C22⋊Q8—118no—
1245C22⋊Q8—118no—
1246C22⋊Q8—118no—
1247C22⋊Q8—118no—
1248C22⋊Q8—118no—
1249C22⋊Q8—118no—
1250C22⋊Q8—118no—
1251C22⋊Q8—118no—
1252C22⋊Q8—118no—
1253C22⋊Q8—118no—
1254C22⋊Q8—118no—
1255C22⋊Q8—118no—
1256C22⋊Q8—118no—
1257C22⋊Q8—118no—
1258C22⋊Q8—118no—
1259C22⋊Q8—118no—
1260C22⋊Q8—118no—
1261C22⋊Q8—118no—
1262C22⋊Q8—118no—
1263C22⋊Q8—118no—
1264C22⋊Q8—118no—
1265C22⋊Q8C22×D1118yes—
1266C22⋊Q8C22×D1118yes—
1267C22⋊Q8C22×D1118yes—
1268#121—118no—
1269#121—118no—
1270#121—118no—
1271#121—118no—
1272#121—118no—
1273#121C22×D1118yes—
1274C4×Q8—118no—
1275C4×Q8—118no—
1276C4×Q8—118no—
1277C4×Q8—118no—
1278C4×Q8—118no—
1279C4×Q8—118no—
1280C4×Q8—118no—
1281C4×Q8—118no—
1282C4×Q8—118no—
1283C4×Q8—118no—
1284C4×Q8—118no—
1285C4×Q8—118no—
1286C4×Q8—118no—
1287C4×Q8—118no—
1288C4×D4—118no—
1289C4×D4—118no—
1290C4×D4—118no—
1291C4×D4—118no—
1292C4×D4—118no—
1293C4×D4—118no—
1294C4×D4—118no—
1295C4×D4—118no—
1296C4×D4—118no—
1297C4×D4—118no—
1298C4×D4—118no—
1299C4×D4—118no—
1300C4×D4C22×D1118yes—
1301C4×D4C22×D1118yes—
1302#117—118no—
1303#117—118no—
1304#117—118no—
1305#117—118no—
1306#117—118no—
1307#117—118no—
1308#117—118no—
1309#117—118no—
1310#117—118no—
1311#117—118no—
1312C2×C4⋊C4—111no—
1313C2×C4⋊C4—111no—
1314C2×C4⋊C4—111no—
1315C2×C4⋊C4—111no—
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—118no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—111no—
1325C2×C4⋊C4—111no—
1326C2×C4⋊C4—111no—
1327C2×C4⋊C4—111no—
1328C2×C4⋊C4—111no—
1329C2×C4⋊C4—111no—
1330C2×C4⋊C4—111no—
1331C2×C4⋊C4—111no—
1332C2×C4⋊C4—111no—
1333C2×C4⋊C4—111no—
1334C2×C4⋊C4—111no—
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—111no—
1339C2×C4⋊C4—111no—
1340C2×C4⋊C4—111no—
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—111no—
1343C2×C4⋊C4—111no—
1344C2×C4⋊C4—111no—
1345C2×C4⋊C4—111no—
1346C2×C4⋊C4—111no—
1347C2×C4⋊C4—111no—
1348C2×C4⋊C4—111no—
1349C2×C4⋊C4—111no—
1350C2×C4⋊C4—111no—
1351C2×C4⋊C4—111no—
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—111no—
1355C2×C4⋊C4—111no—
1356C2×C4⋊C4—111no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—118no—
1360C2×C4⋊C4—118no—
1361C2×C4⋊C4C22×D1111yescharacteristic
1362C2×C4⋊C4C22×D1111yescharacteristic
1363C2×C4⋊C4C22×D1111yescharacteristic
1364C2×C4⋊C4C22×D1111yescharacteristic
1365C2×C4⋊C4C22×D1111yescharacteristic
1366C2×C4⋊C4C22×D1118yes—
1367C2×C4⋊C4C22×D1111yescharacteristic
1368C2×C4⋊C4C22×D1111yescharacteristic
1369C2×C4⋊C4C22×D1111yescharacteristic
1370C2×C4⋊C4C22×D1111yescharacteristic
1371C2×C4⋊C4C22×D1111yescharacteristic
1372C2×C4⋊C4C22×D1111yescharacteristic
1373C2×C4⋊C4C22×D1111yescharacteristic
1374C2×C4⋊C4C22×D1111yescharacteristic
1375C2×C4⋊C4C22×D1111yescharacteristic
1376C2×C22⋊C4—111no—
1377C2×C22⋊C4—111no—
1378C2×C22⋊C4—111no—
1379C2×C22⋊C4—111no—
1380C2×C22⋊C4—111no—
1381C2×C22⋊C4—111no—
1382C2×C22⋊C4—111no—
1383C2×C22⋊C4—111no—
1384C2×C22⋊C4—111no—
1385C2×C22⋊C4—111no—
1386C2×C22⋊C4—111no—
1387C2×C22⋊C4—111no—
1388C2×C22⋊C4—111no—
1389C2×C22⋊C4—111no—
1390C2×C22⋊C4—111no—
1391C2×C22⋊C4—111no—
1392C2×C22⋊C4—111no—
1393C2×C22⋊C4—111no—
1394C2×C22⋊C4—111no—
1395C2×C22⋊C4—111no—
1396C2×C22⋊C4—111no—
1397C2×C22⋊C4—111no—
1398C2×C22⋊C4—111no—
1399C2×C22⋊C4—111no—
1400C2×C22⋊C4—111no—
1401C2×C22⋊C4—111no—
1402C2×C22⋊C4—111no—
1403C2×C22⋊C4—111no—
1404C2×C22⋊C4—111no—
1405C2×C22⋊C4—111no—
1406C2×C22⋊C4C22×D1111yescharacteristic
1407C2×C22⋊C4C22×D1111yescharacteristic
1408C2×C22⋊C4C22×D1111yescharacteristic
1409C2×C22⋊C4C22×D1111yescharacteristic
1410C2×C22⋊C4C22×D1111yescharacteristic
1411C2×C22⋊C4C22×D1111yescharacteristic
1412C2×C22⋊C4C22×D1111yescharacteristic
1413C2×C22⋊C4C22×D1111yescharacteristic
1414C2×C22⋊C4C22×D1111yescharacteristic
1415C2×C22⋊C4C22×D1111yescharacteristic
1416C2×C42—111no—
1417C2×C42—111no—
1418C2×C42—111no—
1419C2×C42—111no—
1420C2×C42—111no—
1421C2×C42—111no—
1422C2×C42—111no—
1423C2×C42—111no—
1424C2×C42—111no—
1425C2×C42—111no—
1426C2×C42—111no—
1427C2×C42—111no—
1428C2×C42—111no—
1429C2×C42—111no—
1430C2×C42—111no—
1431C2×C42—111no—
1432C2×C42—111no—
1433C2×C42—111no—
1434C2×C42—118no—
1435C2×C42C22×D1111yescharacteristic
1436C2×C42C22×D1111yescharacteristic
1437C2×C11—42no—
1438C2×C11—42no—
1439C2×C11—42no—
1440C2×C11#355714yescomplemented
1441C2×C11C22×2−1+411yescharacteristic
1442C2×C11C2×#58511yescharacteristic
1443C2×C11C2×#58511yescharacteristic
1444D11—42no—
1445D11—42no—
1446C24—111no—
1447C24—111no—
1448C24C23×D1111yescharacteristic
1449C24C23×D1111yescharacteristic
1450C24C23×D1111yescharacteristic
1451C2×Q8—42no—
1452C2×Q8—114no—
1453C2×Q8—114no—
1454C2×Q8—114no—
1455C2×Q8—114no—
1456C2×Q8—114no—
1457C2×Q8—114no—
1458C2×Q8—114no—
1459C2×Q8—114no—
1460C2×Q8—114no—
1461C2×Q8—224no—
1462C2×Q8—224no—
1463C2×Q8—442no—
1464C2×Q8—442no—
1465C2×Q8—442no—
1466C2×Q8—442no—
1467C2×Q8—442no—
1468C2×Q8—442no—
1469C2×Q8—442no—
1470C2×Q8C23×D1114yes—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—114no—
1475C2×D4—114no—
1476C2×D4—114no—
1477C2×D4—114no—
1478C2×D4—114no—
1479C2×D4—114no—
1480C2×D4—114no—
1481C2×D4—224no—
1482C2×D4—224no—
1483C2×D4—442no—
1484C2×D4—442no—
1485C2×D4—442no—
1486C2×D4—442no—
1487C2×D4—442no—
1488C2×D4C23×D1114yes—
1489C2×D4C23×D1114yes—
1490C2×D4C23×D1114yes—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—111no—
1497C22×C4—114no—
1498C22×C4—111no—
1499C22×C4—111no—
1500C22×C4—111no—
1501C22×C4—111no—
1502C22×C4—111no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—114no—
1512C22×C4—114no—
1513C22×C4—114no—
1514C22×C4—114no—
1515C22×C4—114no—
1516C22×C4—114no—
1517C22×C4—114no—
1518C22×C4—114no—
1519C22×C4—114no—
1520C22×C4—224no—
1521C22×C4—442no—
1522C22×C4—442no—
1523C22×C4—442no—
1524C22×C4—442no—
1525C22×C4—442no—
1526C22×C4—442no—
1527C22×C4—442no—
1528C22×C4—442no—
1529C22×C4—442no—
1530C22×C4C23×D1111yescharacteristic
1531C22×C4C23×D1111yescharacteristic
1532C22×C4C23×D1111yescharacteristic
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538C22×C4C23×D1111yescharacteristic
1539C22×C4C23×D1111yescharacteristic
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1111yescharacteristic
1542C22×C4C23×D1114yes—
1543C22×C4C23×D1114yes—
1544C22×C4C23×D1114yes—
1545C22×C4C23×D1114yes—
1546C22×C4C23×D1114yes—
1547C4⋊C4—114no—
1548C4⋊C4—114no—
1549C4⋊C4—114no—
1550C4⋊C4—114no—
1551C4⋊C4—114no—
1552C4⋊C4—114no—
1553C4⋊C4—114no—
1554C4⋊C4—114no—
1555C4⋊C4—114no—
1556C4⋊C4—114no—
1557C4⋊C4—114no—
1558C4⋊C4—114no—
1559C4⋊C4—114no—
1560C4⋊C4—114no—
1561C4⋊C4—114no—
1562C4⋊C4—114no—
1563C4⋊C4—114no—
1564C4⋊C4—114no—
1565C4⋊C4—114no—
1566C4⋊C4—114no—
1567C4⋊C4—114no—
1568C4⋊C4—114no—
1569C4⋊C4—114no—
1570C4⋊C4—114no—
1571C4⋊C4—114no—
1572C4⋊C4—114no—
1573C4⋊C4—114no—
1574C4⋊C4—114no—
1575C4⋊C4—114no—
1576C4⋊C4—114no—
1577C4⋊C4—114no—
1578C4⋊C4—114no—
1579C4⋊C4—114no—
1580C4⋊C4—114no—
1581C4⋊C4—114no—
1582C4⋊C4—114no—
1583C4⋊C4—114no—
1584C4⋊C4—114no—
1585C4⋊C4—114no—
1586C4⋊C4—114no—
1587C4⋊C4—114no—
1588C4⋊C4—114no—
1589C4⋊C4—114no—
1590C4⋊C4—114no—
1591C4⋊C4—114no—
1592C4⋊C4—114no—
1593C4⋊C4C23×D1114yes—
1594C4⋊C4C23×D1114yes—
1595C4⋊C4C23×D1114yes—
1596C4⋊C4C23×D1114yes—
1597C4⋊C4C23×D1114yes—
1598C4⋊C4C23×D1114yes—
1599C4⋊C4C23×D1114yes—
1600C4⋊C4C23×D1114yes—
1601C4⋊C4C23×D1114yes—
1602C4⋊C4C23×D1114yes—
1603C4⋊C4C23×D1114yes—
1604C4⋊C4C23×D1114yes—
1605C4⋊C4C23×D1114yes—
1606C4⋊C4C23×D1114yes—
1607C22⋊C4—114no—
1608C22⋊C4—114no—
1609C22⋊C4—114no—
1610C22⋊C4—114no—
1611C22⋊C4—114no—
1612C22⋊C4—114no—
1613C22⋊C4—114no—
1614C22⋊C4—114no—
1615C22⋊C4—114no—
1616C22⋊C4—114no—
1617C22⋊C4—114no—
1618C22⋊C4—114no—
1619C22⋊C4—114no—
1620C22⋊C4—114no—
1621C22⋊C4—114no—
1622C22⋊C4—114no—
1623C22⋊C4—114no—
1624C22⋊C4—114no—
1625C22⋊C4—114no—
1626C22⋊C4—114no—
1627C22⋊C4—114no—
1628C22⋊C4—114no—
1629C22⋊C4—114no—
1630C22⋊C4—114no—
1631C22⋊C4—114no—
1632C22⋊C4—114no—
1633C22⋊C4—114no—
1634C22⋊C4—114no—
1635C22⋊C4—114no—
1636C22⋊C4—114no—
1637C22⋊C4C23×D1114yes—
1638C22⋊C4C23×D1114yes—
1639C22⋊C4C23×D1114yes—
1640C22⋊C4C23×D1114yes—
1641C22⋊C4C23×D1114yes—
1642C22⋊C4C23×D1114yes—
1643C22⋊C4C23×D1114yes—
1644C22⋊C4C23×D1114yes—
1645C22⋊C4C23×D1114yes—
1646C22⋊C4C23×D1114yes—
1647C42—114no—
1648C42—114no—
1649C42—114no—
1650C42—114no—
1651C42—114no—
1652C42—114no—
1653C42—114no—
1654C42—114no—
1655C42—114no—
1656C42—114no—
1657C42—114no—
1658C42—114no—
1659C42—114no—
1660C42—114no—
1661C42—114no—
1662C42—114no—
1663C42—114no—
1664C42—114no—
1665C42C23×D1114yes—
1666C42C23×D1114yes—
1667C11C2×#355711yescharacteristic, complemented, Sylow
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—112no—
1678C23—112no—
1679C23—222no—
1680C23—222no—
1681C23—222no—
1682C23—222no—
1683C23—222no—
1684C23—222no—
1685C23C24×D1112yes—
1686C23C24×D1112yes—
1687C23C24×D1112yes—
1688C23C24×D1111yescharacteristic
1689Q8—44no—
1690Q8—228no—
1691Q8—228no—
1692Q8—444no—
1693Q8—444no—
1694Q8—444no—
1695Q8—444no—
1696Q8—444no—
1697Q8—444no—
1698Q8—444no—
1699D4—44no—
1700D4—44no—
1701D4—44no—
1702D4—228no—
1703D4—228no—
1704D4—444no—
1705D4—444no—
1706D4—444no—
1707D4—444no—
1708D4—444no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—114no—
1727C2×C4—112no—
1728C2×C4—112no—
1729C2×C4—112no—
1730C2×C4—112no—
1731C2×C4—112no—
1732C2×C4—112no—
1733C2×C4—112no—
1734C2×C4—112no—
1735C2×C4—112no—
1736C2×C4—112no—
1737C2×C4—112no—
1738C2×C4—112no—
1739C2×C4—112no—
1740C2×C4—112no—
1741C2×C4—228no—
1742C2×C4—222no—
1743C2×C4—222no—
1744C2×C4—222no—
1745C2×C4—222no—
1746C2×C4—222no—
1747C2×C4—222no—
1748C2×C4—222no—
1749C2×C4—222no—
1750C2×C4—222no—
1751C2×C4—222no—
1752C2×C4—222no—
1753C2×C4—222no—
1754C2×C4—222no—
1755C2×C4—444no—
1756C2×C4—444no—
1757C2×C4—444no—
1758C2×C4—444no—
1759C2×C4—444no—
1760C2×C4—444no—
1761C2×C4—444no—
1762C2×C4—444no—
1763C2×C4—444no—
1764C2×C4C24×D1112yes—
1765C2×C4C24×D1112yes—
1766C2×C4C24×D1112yes—
1767C2×C4C24×D1112yes—
1768C2×C4C24×D1112yes—
1769C2×C4C24×D1112yes—
1770C2×C4C24×D1112yes—
1771C2×C4C24×D1112yes—
1772C2×C4C24×D1112yes—
1773C2×C4C24×D1112yes—
1774C2×C4C24×D1112yes—
1775C2×C4C24×D1112yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—44no—
1786C22—44no—
1787C22—44no—
1788C22—222no—
1789C22—222no—
1790C22—222no—
1791C22—222no—
1792C22—222no—
1793C22—222no—
1794C22—444no—
1795C22—444no—
1796C22#1062345312yes—
1797C22#1062345512yes—
1798C22D11×2−1+412yes—
1799C22C25×D1111yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—114no—
1813C4—222no—
1814C4—222no—
1815C4—222no—
1816C4—222no—
1817C4—222no—
1818C4—222no—
1819C4—222no—
1820C4—222no—
1821C4—222no—
1822C4—222no—
1823C4—222no—
1824C4—222no—
1825C4—222no—
1826C2—42no—
1827C2—42no—
1828C2—42no—
1829C2—442no—
1830C2—442no—
1831C2#1308312014yesdirect product factor
1832C2C2×D11×2−1+411yescharacteristic
1833C2C2×#1062345511yescharacteristic
1834C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#539C2
socleC23×C11C25
prime radicalC2×#10623146C2
hypercenterC2×#539D11
hypocenterC11C2×#3557
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#539

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #13083120C2direct (N × H)
2. C2×#10623230C2semidirect
3. C2×#10623182C2semidirect
4. C2×#10623177C2semidirect
5. C2×#10623177C2semidirect
6. C2×#10623195C2semidirect
7. C2×#10623090C2semidirect
8. C2×#10623216C2semidirect
9. C2×#10623216C2semidirect
10. C2×#10623172C2semidirect
11. C2×#10623233C2semidirect
12. C2×#10623166C2semidirect
13. C2×#10623042C2semidirect
14. C2×#10623072C2semidirect
15. C2×#10623239C2semidirect
16. C2×#10623044C2semidirect
17. C2×#10623224C2semidirect
18. C2×#10623193C2semidirect
19. C2×#10623193C2semidirect
20. C2×#10623193C2semidirect
21. C2×#10623134C2semidirect
22. C2×#10623241C2semidirect
23. C2×#10623092C2semidirect
24. C2×#10623232C2semidirect
26. C2×#10623169C2semidirect
27. C2×#10623196C2semidirect
28. C2×#10623191C2semidirect
29. C2×#10623153C2semidirect
30. C2×#10623069C2semidirect
31. C2×#10623180C2semidirect
32. C2×C11×#539C2semidirect
33. C11×#539C22semidirect
85. #10623241C22semidirect
86. #10623239C22semidirect
87. #10623233C22semidirect
88. #10623232C22semidirect
89. #10623230C22semidirect
90. #10623224C22semidirect
91. #10623216C22semidirect
92. #10623216C22semidirect
93. #10623196C22semidirect
94. #10623195C22semidirect
95. #10623193C22semidirect
96. #10623193C22semidirect
97. #10623193C22semidirect
98. #10623191C22semidirect
99. #10623182C22semidirect
100. #10623180C22semidirect
101. #10623177C22semidirect
102. #10623177C22semidirect
103. #10623172C22semidirect
104. #10623169C22semidirect
105. #10623166C22semidirect
106. #10623153C22semidirect
108. #10623134C22semidirect
109. #10623092C22semidirect
110. #10623090C22semidirect
111. #10623072C22semidirect
112. #10623069C22semidirect
113. #10623044C22semidirect
122. #10623042C22semidirect
779. C2×#539D11semidirect
918. #539C2×D11semidirect
1440. C2×C11#3557semidirect
1667. C11C2×#3557semidirect
1831. C2#13083120direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#130831202
C2×#106232302
C2×#106231822
C2×#106231772
C2×#106231952
C2×#106230902
C2×#106232162
C2×#106231722
C2×#106232332
C2×#106231662
C2×#106230422
C2×#106230722
C2×#106232392
C2×#106230442
C2×#106232242
C2×#106231932
C2×#106231342
C2×#106232412
C2×#106230922
C2×#106232322
C2×#106231462
C2×#106231692
C2×#106231962
C2×#106231912
C2×#106231532
C2×#106230692
C2×#106231802
C2×C11×#5392
C2×#355711