Finite Group Databasebeta

← D11×#3510 #15662255

Subgroups — D11×#3510 #15662255

Order 2816.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082515C211yesmaximal, characteristic, complemented
2#13082514C211yesmaximal, characteristic, complemented
3#13082513C211yesmaximal, characteristic, complemented
4#13082512C211yesmaximal, characteristic, complemented
5#13082511C211yesmaximal, characteristic, complemented
6#13082510C211yesmaximal, characteristic, complemented
7#13082509C214yesmaximal, complemented
8#13082508C214yesmaximal, complemented
9#13082507C211yesmaximal, characteristic, complemented
10#13082506C214yesmaximal, complemented
11#13082505C214yesmaximal, complemented
12#13082504C218yesmaximal, complemented
13D11×#559C214yesmaximal, complemented
14D11×#556C214yesmaximal, complemented
15D11×#551C218yesmaximal, complemented
16D11×#542C214yesmaximal, complemented
17D11×#536C211yesmaximal, characteristic, complemented
18D11×#535C211yesmaximal, characteristic
19D11×#533C211yesmaximal, characteristic, complemented
20D11×#529C214yesmaximal, complemented
21C2×D11×#124C211yesmaximal, characteristic, complemented
22D11×#519C211yesmaximal, characteristic, complemented
23D11×#518C211yesmaximal, characteristic, complemented
24C4×#41×D11C211yesmaximal, characteristic, complemented
25C11×#3510C211yesmaximal, characteristic, complemented
26C2×#41×D11C2211yescharacteristic
27C22×Q8×D11C2211yescharacteristic
28C22×D4×D11C2211yescharacteristic
29C11×#559C2214yescomplemented
30C11×#556C2214yescomplemented
31C11×#551C2218yescomplemented
32C11×#542C2214yescomplemented
33C11×#536C2211yescharacteristic, complemented
34C11×#535C2211yescharacteristic
35C11×#533C2211yescharacteristic, complemented
36C11×#529C2214yescomplemented
37C2×C11×#124C2211yescharacteristic, complemented
38C11×#519C2211yescharacteristic, complemented
39C11×#518C2211yescharacteristic, complemented
40C4×C11×#41C2211yescharacteristic, complemented
41#10623361C2211yescharacteristic
42#41×Dic11C2211yescharacteristic, complemented
43#10623356C2211yescharacteristic, complemented
44#10623347C2211yescharacteristic, complemented
45C2×#67000C2211yescharacteristic, complemented
46#10623343C2211yescharacteristic, complemented
47#10623336C2211yescharacteristic
48#10623329C2211yescharacteristic, complemented
49C2×#66989C2211yescharacteristic, complemented
50#10623264C2214yescomplemented
51#10623263C2214yescomplemented
52#10623259C2212yescomplemented
53#10623255C2212yescomplemented
54D11×C4⋊Q8C2212yescomplemented
55D11×C4⋊Q8C2212yescomplemented
56#10623246C2212yes—
57D11×#127C2212yes—
58#10623244C2214yescomplemented
59#10623241C2218yescomplemented
60#10623237C2218yescomplemented
61#10623236C2218yescomplemented
62#10623236C2218yescomplemented
63D11×#126C2218yescomplemented
64D11×#126C2218yescomplemented
65#10623233C2218yescomplemented
66#10623233C2218yescomplemented
67#10623222C2214yescomplemented
68#10623219C2212yescomplemented
69D11×#125C2212yescomplemented
70#10623213C2214yescomplemented
71#10623212C2214yescomplemented
72#10623212C2218yescomplemented
73#10623212C2214yescomplemented
74#10623211C2214yescomplemented
75#10623210C2218yescomplemented
76#10623206C2212yescomplemented
77#10623205C2212yes—
78D11×#124C2212yes—
79D11×#124C2214yes—
80D11×#124C2212yes—
81D11×#124C2212yes—
82D11×#124C2212yescomplemented
83D11×#124C2214yescomplemented
84D11×#124C2212yescomplemented
85D11×#124C2212yescomplemented
86D11×#124C2218yescomplemented
87#10623202C2214yescomplemented
88#10623202C2214yescomplemented
89#10623200C2218yescomplemented
90#10623195C2218yescomplemented
91#10623195C2218yescomplemented
92#10623193C2218yescomplemented
93#10623190C2218yescomplemented
94#10623189C2218yescomplemented
95#10623189C2218yescomplemented
96D11×#123C2214yes—
97D11×#123C2218yescomplemented
98D11×#123C2218yescomplemented
99#10623180C2218yescomplemented
100#10623179C2214yescomplemented
101#10623174C2214yescomplemented
102#10623172C2218yescomplemented
103#10623171C2218yescomplemented
104#10623168C2218yescomplemented
105#10623168C2218yescomplemented
106#10623159C2214yescomplemented
107D11×C22⋊Q8C2214yes—
108D11×C22⋊Q8C2214yescomplemented
109D11×C22⋊Q8C2218yescomplemented
110#10623155C2214yescomplemented
111#10623153C2214yescomplemented
112#10623138C2214yes—
113D11×#121C2214yes—
114#10623134C2214yescomplemented
115#10623131C2214yescomplemented
116#10623123C2214yes—
117D11×#120C2214yes—
118#10623118C2218yescomplemented
119#10623116C2214yescomplemented
120#10623116C2214yescomplemented
121#10623115C2214yescomplemented
122#10623113C2214yescomplemented
123#10623111C2214yescomplemented
124#10623109C2214yescomplemented
125C4×#4343C2212yescomplemented
126#10623103C2214yescomplemented
127#10623103C2214yescomplemented
128C4×Q8×D11C2214yescomplemented
129C4×Q8×D11C2214yescomplemented
130C4×Q8×D11C2212yescomplemented
131C4×Q8×D11C2214yescomplemented
132#10623099C2214yescomplemented
133#10623099C2214yescomplemented
134#10623092C2214yescomplemented
135#10623090C2214yescomplemented
136#10623090C2218yescomplemented
137#10623090C2214yescomplemented
138#10623088C2214yescomplemented
139#10623087C2218yescomplemented
140#10623087C2218yescomplemented
141#10623076C2214yescomplemented
142#10623076C2214yescomplemented
143C4×D4×D11C2214yes—
144C4×D4×D11C2214yes—
145C4×D4×D11C2214yes—
146C4×D4×D11C2218yescomplemented
147C4×D4×D11C2212yescomplemented
148#10623073C2214yescomplemented
149#10623069C2218yescomplemented
150C4×#4341C2212yescomplemented
151C4×#4341C2214yescomplemented
152#10623065C2214yescomplemented
153#10623064C2218yescomplemented
154#10623059C2218yescomplemented
155#10623058C2218yescomplemented
156#10623058C2218yescomplemented
157#10623057C2211yescharacteristic, complemented
158#10623056C2211yescharacteristic
159#10623053C2212yescomplemented
160#10623053C2211yescharacteristic, complemented
161#10623052C2211yescharacteristic, complemented
162#10623052C2211yescharacteristic, complemented
163D11×#117C2211yescharacteristic
164D11×#117C2211yescharacteristic
165D11×#117C2211yescharacteristic
166D11×#117C2214yes—
167D11×#117C2218yescomplemented
168D11×#117C2212yescomplemented
169#10623048C2211yescharacteristic, complemented
170#10623048C2211yescharacteristic, complemented
171#10623047C2214yescomplemented
172#10623047C2211yescharacteristic, complemented
173#10623047C2211yescharacteristic, complemented
174#10623026C2218yescomplemented
175#10623026C2218yescomplemented
176C2×#66938C2214yescomplemented
177#10623017C2214yescomplemented
178C2×C22⋊C4×D11C2214yes—
179C2×C22⋊C4×D11C2214yes—
180#10623010C2214yescomplemented
181C2×#66928C2211yescharacteristic, complemented
182C4×#4339C2212yescomplemented
183C4×#4339C2211yescharacteristic, complemented
184C2×C42×D11C2211yescharacteristic
185C2×C42×D11C2212yescomplemented
186#10623001C2211yescharacteristic, complemented
187C24×D11C2312yes—
188C2×C11×#41C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×C22⋊D11C2312yes—
192#41×D11—28no—
193C2×#4343C2311yescharacteristic
194C2×Q8×D11—28no—
195C2×Q8×D11C2311yescharacteristic
196C2×Q8×D11C2312yes—
197C2×Q8×D11C2312yes—
198C2×Q8×D11C2312yes—
199C2×Q8×D11C2312yes—
200C2×Q8×D11C2314yes—
201C2×#4341C2311yescharacteristic
202C2×#4341C2312yes—
203C2×D4×D11—28no—
204C2×D4×D11C2311yescharacteristic
205C2×D4×D11C2312yes—
206C2×D4×D11C2312yes—
207C2×D4×D11C2312yes—
208C2×D4×D11C2312yes—
209C2×D4×D11C2312yes—
210C2×D4×D11C2318yes—
211C2×#4339C2311yescharacteristic
212C2×#4339C2312yes—
213C22×D44C2311yescharacteristic
214C22×C4×D11C2312yes—
215C22×C4×D11C2312yes—
216C22×C4×D11C2312yes—
217C22×C4×D11C2314yes—
218C22×C4×D11C2318yes—
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C22×Dic22C2312yes—
222C11×C4⋊Q8C2312yescomplemented
223C11×C4⋊Q8C2312yescomplemented
224C11×#127C2312yes—
225C11×#126C2318yescomplemented
226C11×#126C2318yescomplemented
227C11×#125C2312yescomplemented
228C11×#124C2312yes—
229C11×#124C2312yes—
230C11×#124C2314yes—
231C11×#124C2312yes—
232C11×#124C2312yescomplemented
233C11×#124C2318yescomplemented
234C11×#123C2314yes—
235C11×#123C2318yescomplemented
236C11×#123C2318yescomplemented
237C11×C22⋊Q8C2314yes—
238C11×C22⋊Q8C2314yescomplemented
239C11×C22⋊Q8C2318yescomplemented
240C11×#121C2314yes—
241C11×#120C2314yes—
242C4×Q8×C11C2312yescomplemented
243C4×Q8×C11C2314yescomplemented
244C4×Q8×C11C2314yescomplemented
245C4×Q8×C11C2314yescomplemented
246C4×D4×C11C2314yes—
247C4×D4×C11C2314yes—
248C4×D4×C11C2314yes—
249C4×D4×C11C2312yescomplemented
250C4×D4×C11C2318yescomplemented
251C11×#117C2311yescharacteristic
252C11×#117C2311yescharacteristic
253C11×#117C2314yes—
254C11×#117C2311yescharacteristic
255C11×#117C2312yescomplemented
256C11×#117C2318yescomplemented
257C2×C11×C22⋊C4C2314yes—
258C2×C11×C22⋊C4C2314yes—
259C2×C42×C11C2311yescharacteristic
260C2×C42×C11C2312yescomplemented
261#67006C2314yes—
262C2×C22⋊Dic11C2314yes—
263C2×C22⋊Dic11C2314yes—
264#67000C2312yes—
265#67000C2314yes—
266#67000C2312yes—
267#67000C2312yes—
268#67000C2312yescomplemented
269#67000C2318yescomplemented
270#66999C2314yes—
271#66999C2318yescomplemented
272#66999C2314yescomplemented
273Q8×Dic11C2314yescomplemented
274Q8×Dic11C2312yescomplemented
275Q8×Dic11C2314yescomplemented
276Q8×Dic11C2314yescomplemented
277#66997C2312yescomplemented
278#66997C2312yescomplemented
279#66997C2314yescomplemented
280#66993C2312yes—
281#66993C2312yes—
282#66993C2318yes—
283#66992C2318yes—
284#66991C2314yes—
285#66990C2318yes—
286#66990C2314yes—
287#66989C2314yes—
288#66989C2312yes—
289#66989C2312yes—
290#66989C2312yes—
291#66989C2312yescomplemented
292#66989C2318yescomplemented
293#66988C2314yes—
294#66988C2318yescomplemented
295#66988C2318yescomplemented
296D4×Dic11C2314yes—
297D4×Dic11C2314yes—
298D4×Dic11C2314yes—
299D4×Dic11C2312yescomplemented
300D4×Dic11C2318yescomplemented
301#66983C2314yes—
302#66982C2314yes—
303#66982C2318yescomplemented
304#66982C2318yescomplemented
305C4×C22⋊D11C2314yes—
306C4×C22⋊D11C2314yes—
307C4×C22⋊D11C2318yes—
308C4×C22⋊D11C2318yes—
309C4×C22⋊D11C2314yescomplemented
310C4×C22⋊D11C2318yescomplemented
311C4×C22⋊D11C2318yescomplemented
312C2×(C2×D11)⋊C4C2314yes—
313C2×(C2×D11)⋊C4C2314yes—
314C2×(C2×D11)⋊C4C2318yes—
315#66979C2311yescharacteristic
316#66979C2311yescharacteristic
317#66979C2311yescharacteristic
318#66979C2314yes—
319#66979C2312yescomplemented
320#66979C2318yescomplemented
321#66977C2314yes—
322#66977C2314yescomplemented
323#66977C2318yescomplemented
324C2×C4×Dic11C2312yes—
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2312yescomplemented
327C2×C4×Dic11C2314yescomplemented
328#66951C2318yescomplemented
329#66951C2318yescomplemented
330#66951C2318yescomplemented
331#66951C2318yescomplemented
332#66951C2318yescomplemented
333#66951C2318yescomplemented
334#66950C2314yes—
335#66950C2318yescomplemented
336#66950C2314yescomplemented
337#66949C2314yes—
338#66949C2314yes—
339#66949C2318yescomplemented
340#66949C2318yescomplemented
341#66949C2318yescomplemented
342#66948C2314yes—
343#66947C2318yes—
344#66947C2318yescomplemented
345#66947C2318yescomplemented
346#66947C2318yescomplemented
347#66947C2318yescomplemented
348#66946C2314yes—
349#66946C2314yes—
350#66946C2314yes—
351#66946C2318yescomplemented
352#66946C2312yescomplemented
353#66945C2318yes—
354#66945C2312yes—
355#66945C2312yes—
356#66945C2312yes—
357#66945C2318yescomplemented
358#66945C2314yescomplemented
359#66945C2318yescomplemented
360C4⋊C4×D11C2318yes—
361C4⋊C4×D11C2314yes—
362C4⋊C4×D11C2314yes—
363C4⋊C4×D11C2314yes—
364C4⋊C4×D11C2318yes—
365C4⋊C4×D11C2312yes—
366C4⋊C4×D11C2312yes—
367C4⋊C4×D11C2312yes—
368C4⋊C4×D11C2314yes—
369#66943C2312yescomplemented
370#66943C2312yescomplemented
371#66942C2314yescomplemented
372#66942C2314yescomplemented
373#66941C2318yescomplemented
374#66941C2314yescomplemented
375#66941C2312yescomplemented
376#66941C2312yescomplemented
377#66940C2314yescomplemented
378#66940C2314yescomplemented
379#66940C2314yescomplemented
380#66940C2318yescomplemented
381#66940C2318yescomplemented
382#66940C2314yescomplemented
383#66940C2314yescomplemented
384#66940C2312yescomplemented
385#66940C2314yescomplemented
386#66939C2314yes—
387#66939C2318yescomplemented
388#66939C2318yescomplemented
389#66938C2318yes—
390#66938C2318yes—
391#66938C2318yes—
392#66938C2318yes—
393#66938C2318yes—
394#66938C2318yescomplemented
395#66938C2318yescomplemented
396#66938C2318yescomplemented
397#66938C2318yescomplemented
398#66938C2318yescomplemented
399#66937C2318yes—
400#66936C2318yes—
401#66936C2318yescomplemented
402#66936C2318yescomplemented
403#66936C2318yescomplemented
404#66936C2318yescomplemented
405#66935C2318yes—
406#66935C2314yes—
407(C22⋊D11)⋊C4C2318yes—
408(C22⋊D11)⋊C4C2318yes—
409(C22⋊D11)⋊C4C2314yes—
410(C22⋊D11)⋊C4C2314yes—
411(C22⋊D11)⋊C4C2318yescomplemented
412(C22⋊D11)⋊C4C2314yescomplemented
413(C22⋊D11)⋊C4C2318yescomplemented
414C22⋊C4×D11C2318yes—
415C22⋊C4×D11C2318yes—
416C22⋊C4×D11C2318yes—
417C22⋊C4×D11C2318yes—
418C22⋊C4×D11C2318yes—
419C22⋊C4×D11C2318yes—
420C22⋊C4×D11C2318yes—
421C22⋊C4×D11C2312yes—
422C22⋊C4×D11C2312yes—
423C22⋊C4×D11C2314yes—
424C22⋊C4×D11C2314yes—
425C22⋊C4×D11C2312yes—
426C22⋊C4×D11C2314yes—
427C22⋊C4×D11C2318yes—
428#66932C2318yescomplemented
429#66932C2318yescomplemented
430#66932C2318yescomplemented
431#66932C2318yescomplemented
432#66932C2318yescomplemented
433#66932C2318yescomplemented
434#66931C2314yes—
435#66931C2314yes—
436#66931C2318yescomplemented
437#66931C2318yescomplemented
438#66931C2318yescomplemented
439#66930C2312yes—
440#66930C2312yes—
441#66930C2314yes—
442#66930C2314yes—
443#66930C2312yes—
444#66930C2318yescomplemented
445#66930C2318yescomplemented
446#66930C2314yescomplemented
447#66929C2318yescomplemented
448#66929C2318yescomplemented
449#66928C2312yes—
450#66928C2312yes—
451#66928C2312yes—
452#66928C2314yes—
453#66928C2318yescomplemented
454#66928C2312yescomplemented
455#66927C2312yes—
456C4×D44C2314yes—
457C4×D44C2314yes—
458C4×D44C2314yes—
459C4×D44C2318yescomplemented
460C4×D44C2312yescomplemented
461#66925C2318yes—
462#66925C2312yes—
463#66925C2312yes—
464#66925C2312yes—
465#66925C2318yescomplemented
466#66925C2318yescomplemented
467#66925C2312yescomplemented
468#66925C2312yescomplemented
469C42×D11C2314yes—
470C42×D11C2318yes—
471C42×D11C2312yes—
472C42×D11C2311yescharacteristic
473C42×D11C2312yes—
474C42×D11C2311yescharacteristic
475C42×D11C2311yescharacteristic
476C42×D11C2311yescharacteristic
477C42×D11C2312yes—
478C42×D11C2312yes—
479C42×D11C2312yes—
480C42×D11C2314yescomplemented
481C42×D11C2312yescomplemented
482C42×D11C2312yescomplemented
483#66923C2312yescomplemented
484#66922C2312yescomplemented
485#66922C2312yescomplemented
486C4×Dic22C2314yescomplemented
487C4×Dic22C2318yescomplemented
488C4×Dic22C2318yescomplemented
489C4×Dic22C2314yescomplemented
490C4×Dic22C2314yescomplemented
491C4×Dic22C2314yescomplemented
492C4×Dic22C2312yescomplemented
493C4×Dic22C2314yescomplemented
494C4×Dic22C2314yescomplemented
495C2×#3510—111nomaximal, Sylow
496C24×C11C2412yes—
497C23×D11—28no—
498C23×D11—48no—
499C23×D11C2414yes—
500C23×D11C2412yes—
501C23×D11C2411yescharacteristic
502C23×D11C2414yes—
503C23×D11C2412yes—
504C11×#41—24no—
505C2×Q8×C11—24no—
506C2×Q8×C11C2411yescharacteristic
507C2×Q8×C11C2412yes—
508C2×Q8×C11C2412yes—
509C2×Q8×C11C2414yes—
510C2×D4×C11—24no—
511C2×D4×C11C2412yes—
512C2×D4×C11C2412yes—
513C2×D4×C11C2412yes—
514C2×D4×C11C2411yescharacteristic
515C2×D4×C11C2418yes—
516C22×C4×C11C2412yes—
517C22×C4×C11C2412yes—
518C22×C4×C11C2412yes—
519C22×C4×C11C2414yes—
520C22×C4×C11C2418yes—
521C22×C4×C11C2411yescharacteristic
522C2×C22⋊D11—28no—
523C2×C22⋊D11C2412yes—
524C2×C22⋊D11C2412yes—
525C2×C22⋊D11C2414yes—
526C2×C22⋊D11C2414yes—
527C2×C22⋊D11C2412yes—
528C2×C22⋊D11C2418yes—
529C2×C22⋊D11C2418yes—
530C22×Dic11C2412yes—
531C22×Dic11C2412yes—
532C22×Dic11C2418yes—
533C22×Dic11C2412yes—
534C22×Dic11C2414yes—
535C22×Dic11C2411yescharacteristic
536#4343—24no—
537Q8×D11—28no—
538Q8×D11—28no—
539Q8×D11—28no—
540Q8×D11—28no—
541Q8×D11—24no—
542Q8×D11—48no—
543#4341—28no—
544#4341—24no—
545D4×D11—28no—
546D4×D11—28no—
547D4×D11—28no—
548D4×D11—28no—
549D4×D11—24no—
550D4×D11—28no—
551D4×D11—416no—
552#4339—28no—
553#4339—24no—
554C2×D44—24no—
555C2×D44C2412yes—
556C2×D44C2412yes—
557C2×D44C2412yes—
558C2×D44C2411yescharacteristic
559C2×D44C2418yes—
560C2×C4×D11—28no—
561C2×C4×D11—28no—
562C2×C4×D11—44no—
563C2×C4×D11—48no—
564C2×C4×D11—416no—
565C2×C4×D11#4118yes—
566C2×C4×D11C2412yes—
567C2×C4×D11C2414yes—
568C2×C4×D11C2414yes—
569C2×C4×D11C2414yes—
570C2×C4×D11C2412yes—
571C2×C4×D11C2412yes—
572C2×C4×D11C2414yes—
573C2×C4×D11C2412yes—
574C2×C4×D11C2412yes—
575C2×C4×D11C2414yes—
576C2×C4×D11C2412yes—
577C2×C4×D11C2412yes—
578C2×C4×D11C2414yes—
579C2×C4×D11C2414yes—
580C2×C4×D11C2418yes—
581C2×C4×D11C2418yes—
582C2×C4×D11C2411yescharacteristic
583C2×C4×D11C2411yescharacteristic
584C2×C4×D11C2411yescharacteristic
585C2×C4×D11C2411yescharacteristic
586C2×Dic22—28no—
587C2×Dic22—24no—
588C2×Dic22C2411yescharacteristic
589C2×Dic22C2412yes—
590C2×Dic22C2412yes—
591C2×Dic22C2414yes—
592C2×Dic22C2414yes—
593C2×Dic22C2412yes—
594C2×Dic22C2414yes—
595C2×Dic22C2414yes—
596C2×Dic22C2414yes—
597C11×C4⋊C4C2412yes—
598C11×C4⋊C4C2412yes—
599C11×C4⋊C4C2418yes—
600C11×C4⋊C4C2414yes—
601C11×C4⋊C4C2414yes—
602C11×C4⋊C4C2414yes—
603C11×C4⋊C4C2414yes—
604C11×C4⋊C4C2412yes—
605C11×C4⋊C4C2418yes—
606C11×C22⋊C4C2412yes—
607C11×C22⋊C4C2412yes—
608C11×C22⋊C4C2412yes—
609C11×C22⋊C4C2418yes—
610C11×C22⋊C4C2418yes—
611C11×C22⋊C4C2414yes—
612C11×C22⋊C4C2418yes—
613C11×C22⋊C4C2418yes—
614C11×C22⋊C4C2418yes—
615C42×C11C2412yes—
616C42×C11C2412yes—
617C42×C11C2412yes—
618C42×C11C2412yes—
619C42×C11C2418yes—
620C42×C11C2414yes—
621C42×C11C2411yescharacteristic
622C42×C11C2411yescharacteristic
623C22⋊Dic11C2412yes—
624C22⋊Dic11C2412yes—
625C22⋊Dic11C2412yes—
626C22⋊Dic11C2418yes—
627C22⋊Dic11C2418yes—
628C22⋊Dic11C2414yes—
629C22⋊Dic11C2418yes—
630C22⋊Dic11C2418yes—
631C22⋊Dic11C2418yes—
632(C2×D11)⋊C4C2414yes—
633(C2×D11)⋊C4C2414yes—
634(C2×D11)⋊C4C2414yes—
635(C2×D11)⋊C4C2414yes—
636(C2×D11)⋊C4C2418yes—
637(C2×D11)⋊C4C2414yes—
638(C2×D11)⋊C4C2418yes—
639(C2×D11)⋊C4C2418yes—
640(C2×D11)⋊C4C2418yes—
641(C2×D11)⋊C4C2418yes—
642(C2×D11)⋊C4C2418yes—
643(C2×D11)⋊C4C2418yes—
644(C2×D11)⋊C4C2418yes—
645(C2×D11)⋊C4C2418yes—
646(C2×D11)⋊C4C2418yes—
647C4⋊Dic11C2412yes—
648C4⋊Dic11C2412yes—
649C4⋊Dic11C2418yes—
650C4⋊Dic11C2414yes—
651C4⋊Dic11C2414yes—
652C4⋊Dic11C2414yes—
653C4⋊Dic11C2414yes—
654C4⋊Dic11C2412yes—
655C4⋊Dic11C2418yes—
656Dic11⋊C4C2414yes—
657Dic11⋊C4C2418yes—
658Dic11⋊C4C2418yes—
659Dic11⋊C4C2414yes—
660Dic11⋊C4C2414yes—
661Dic11⋊C4C2414yes—
662Dic11⋊C4C2414yes—
663Dic11⋊C4C2414yes—
664Dic11⋊C4C2414yes—
665Dic11⋊C4C2414yes—
666Dic11⋊C4C2414yes—
667Dic11⋊C4C2414yes—
668Dic11⋊C4C2414yes—
669Dic11⋊C4C2418yes—
670Dic11⋊C4C2418yes—
671C4×Dic11C2412yes—
672C4×Dic11C2412yes—
673C4×Dic11C2412yes—
674C4×Dic11C2412yes—
675C4×Dic11C2414yes—
676C4×Dic11C2414yes—
677C4×Dic11C2418yes—
678C4×Dic11C2418yes—
679C4×Dic11C2414yes—
680C4×Dic11C2412yes—
681C4×Dic11C2411yescharacteristic
682C4×Dic11C2411yescharacteristic
683C4×Dic11C2412yes—
684C4×Dic11C2412yes—
685C4×Dic11C2412yes—
686C4×Dic11C2414yes—
687C4×Dic11C2414yes—
688C4×Dic11C2418yes—
689C4×Dic11C2414yes—
690#3510—114no—
691#3510—114no—
692#3510—118no—
693#3510—114no—
694#3510—111no—
695#3510—111no—
696#3510—111no—
697#3510—114no—
698#3510—111no—
699#3510—111no—
700#3510—111no—
701#3510—111no—
702#3510D1111yescharacteristic, direct product factor
703C2×#559—114no—
704C2×#556—114no—
705C2×#551—118no—
706C2×#542—114no—
707C2×#536—111no—
708C2×#535—111no—
709C2×#533—111no—
710C2×#529—114no—
711C22×#124—111no—
712C2×#519—111no—
713C2×#518—111no—
714C2×C4×#41—111no—
715C23×C11—24no—
716C23×C11—44no—
717C23×C11C2514yes—
718C23×C11C2512yes—
719C23×C11C2511yescharacteristic
720C22×D11—24no—
721C22×D11—24no—
722C22×D11—24no—
723C22×D11—28no—
724C22×D11—28no—
725C22×D11—216no—
726C22×D11—28no—
727C22×D11—48no—
728C22×D11—44no—
729C22×D11—816no—
730C22×D11C2×#4114yes—
731C22×D11C2514yes—
732C22×D11C2512yes—
733C22×D11C2511yescharacteristic
734C22×D11C2511yescharacteristic
735Q8×C11—24no—
736Q8×C11—24no—
737Q8×C11—22no—
738Q8×C11—44no—
739D4×C11—24no—
740D4×C11—24no—
741D4×C11—24no—
742D4×C11—22no—
743D4×C11—48no—
744C2×C4×C11—24no—
745C2×C4×C11—24no—
746C2×C4×C11—44no—
747C2×C4×C11—48no—
748C2×C4×C11—42no—
749C2×C4×C11C2×#4114yes—
750C2×C4×C11C2512yes—
751C2×C4×C11C2514yes—
752C2×C4×C11C2514yes—
753C2×C4×C11C2512yes—
754C2×C4×C11C2514yes—
755C2×C4×C11C2512yes—
756C2×C4×C11C2514yes—
757C2×C4×C11C2511yescharacteristic
758C2×C4×C11C2511yescharacteristic
759C22⋊D11—24no—
760C22⋊D11—24no—
761C22⋊D11—24no—
762C22⋊D11—28no—
763C22⋊D11—28no—
764C22⋊D11—48no—
765C22⋊D11—48no—
766C2×Dic11—24no—
767C2×Dic11—24no—
768C2×Dic11—42no—
769C2×Dic11—48no—
770C2×Dic11—44no—
771C2×Dic11C2×#4114yes—
772C2×Dic11C2512yes—
773C2×Dic11C2514yes—
774C2×Dic11C2514yes—
775C2×Dic11C2512yes—
776C2×Dic11C2514yes—
777C2×Dic11C2512yes—
778C2×Dic11C2514yes—
779C2×Dic11C2511yescharacteristic
780C2×Dic11C2511yescharacteristic
781D44—24no—
782D44—24no—
783D44—24no—
784D44—22no—
785D44—48no—
786C4×D11—24no—
787C4×D11—28no—
788C4×D11—28no—
789C4×D11—24no—
790C4×D11—28no—
791C4×D11—28no—
792C4×D11—24no—
793C4×D11—28no—
794C4×D11—24no—
795C4×D11—24no—
796C4×D11—42no—
797C4×D11—48no—
798C4×D11—44no—
799C4×D11—44no—
800C4×D11—48no—
801C4×D11—42no—
802C4×D11C2×#4114yes—
803C4×D11C2×#4114yes—
804C4×D11C2×#4114yes—
805C4×D11C2×#4114yes—
806Dic22—24no—
807Dic22—24no—
808Dic22—22no—
809Dic22—28no—
810Dic22—28no—
811Dic22—24no—
812Dic22—44no—
813Dic22—44no—
814Dic22—44no—
815C22×#41—111no—
816C23×Q8—111no—
817C23×D4—111no—
818#559—114no—
819#559—114no—
820#559—114no—
821#559—118no—
822#559—118no—
823#559—118no—
824#559—114no—
825#559—114no—
826#559—114no—
827#559—118no—
828#559—114no—
829#559C2×D1114yescomplemented
830#556—114no—
831#556—118no—
832#556—118no—
833#556—114no—
834#556—114no—
835#556—118no—
836#556—114no—
837#556—114no—
838#556—114no—
839#556—114no—
840#556—118no—
841#556C2×D1114yescomplemented
842#551—118no—
843#551—118no—
844#551—118no—
845#551—118no—
846#551—118no—
847#551—118no—
848#551—118no—
849#551—118no—
850#551—118no—
851#551—118no—
852#551—118no—
853#551—118no—
854#551—118no—
855#551—118no—
856#551—118no—
857#551C2×D1118yescomplemented
858#542—114no—
859#542—118no—
860#542—114no—
861#542—118no—
862#542—118no—
863#542—118no—
864#542—114no—
865#542—114no—
866#542—114no—
867#542—114no—
868#542—114no—
869#542C2×D1114yescomplemented
870#536—111no—
871#536—111no—
872#536—112no—
873#536—112no—
874#536—114no—
875#536—114no—
876#536—111no—
877#536C2×D1111yescharacteristic, complemented
878#535—111no—
879#535—111no—
880#535—112no—
881#535—112no—
882#535—114no—
883#535—114no—
884#535—111no—
885#535C2×D1111yescharacteristic
886#533—112no—
887#533—112no—
888#533—114no—
889#533—114no—
890#533—111no—
891#533—111no—
892#533—111no—
893#533C2×D1111yescharacteristic, complemented
894C2×C4⋊Q8—112no—
895C2×C4⋊Q8—112no—
896C2×#127—112no—
897#529—118no—
898#529—114no—
899#529—114no—
900#529—118no—
901#529—114no—
902#529—114no—
903#529—114no—
904#529—114no—
905#529—118no—
906#529—118no—
907#529—114no—
908#529C2×D1114yescomplemented
909C2×#126—118no—
910C2×#126—118no—
911C2×#125—112no—
912C2×#124—111no—
913C2×#124—111no—
914C2×#124—112no—
915C2×#124—112no—
916C2×#124—114no—
917C2×#124—112no—
918C2×#124—112no—
919C2×#124—114no—
920C2×#124—112no—
921C2×#124—112no—
922C2×#124—118no—
923C2×#124—114no—
924C2×#124—111no—
925C2×#124C2×D1111yescharacteristic, complemented
926C2×#123—114no—
927C2×#123—118no—
928C2×#123—118no—
929C2×C22⋊Q8—114no—
930C2×C22⋊Q8—114no—
931C2×C22⋊Q8—118no—
932C2×#121—114no—
933C2×#120—114no—
934#519—111no—
935#519—114no—
936#519—114no—
937#519—111no—
938#519—111no—
939#519—114no—
940#519C2×D1111yescharacteristic, complemented
941#518—111no—
942#518—114no—
943#518—114no—
944#518—111no—
945#518—111no—
946#518—114no—
947#518C2×D1111yescharacteristic, complemented
948C4×#41—111no—
949C4×#41—112no—
950C4×#41—114no—
951C4×#41—112no—
952C4×#41—111no—
953C4×#41—112no—
954C4×#41—111no—
955C4×#41—112no—
956C4×#41C2×D1111yescharacteristic, complemented
957C2×C4×Q8—112no—
958C2×C4×Q8—114no—
959C2×C4×Q8—114no—
960C2×C4×Q8—114no—
961C2×C4×D4—114no—
962C2×C4×D4—114no—
963C2×C4×D4—114no—
964C2×C4×D4—112no—
965C2×C4×D4—118no—
966C2×#117—111no—
967C2×#117—111no—
968C2×#117—111no—
969C2×#117—114no—
970C2×#117—112no—
971C2×#117—118no—
972C22×C22⋊C4—114no—
973C22×C22⋊C4—114no—
974C22×C42—111no—
975C22×C42—112no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—24no—
979C22×C11—24no—
980C22×C11—28no—
981C22×C11—84no—
982C22×C11C22×#4112yes—
983C22×C11C2611yescharacteristic
984C2×D11—22no—
985C2×D11—28no—
986C2×D11—24no—
987C2×D11—22no—
988C2×D11—28no—
989C2×D11—24no—
990C2×D11—48no—
991C2×D11—416no—
992C2×D11—88no—
993C2×D11—84no—
994C2×D11C22×#4112yes—
995C2×D11C22×#4112yes—
996C2×D11#58514yes—
997C4×C11—22no—
998C4×C11—24no—
999C4×C11—22no—
1000C4×C11—24no—
1001C4×C11—24no—
1002C4×C11—22no—
1003C4×C11—24no—
1004C4×C11C22×#4112yes—
1005C4×C11C22×#4112yes—
1006Dic11—24no—
1007Dic11—22no—
1008Dic11—22no—
1009Dic11—24no—
1010Dic11—24no—
1011Dic11—24no—
1012Dic11—22no—
1013Dic11C22×#4112yes—
1014Dic11C22×#4112yes—
1015C25—112no—
1016C2×#41—111no—
1017C2×#41—112no—
1018C2×#41—111no—
1019C2×#41—112no—
1020C2×#41—111no—
1021C2×#41—228no—
1022C2×#41C22×D1111yescharacteristic
1023C22×Q8—112no—
1024C22×Q8—112no—
1025C22×Q8—111no—
1026C22×Q8—112no—
1027C22×Q8—112no—
1028C22×Q8—114no—
1029C22×Q8—112no—
1030C22×Q8—111no—
1031C22×Q8—228no—
1032C22×Q8C22×D1111yescharacteristic
1033C22×D4—112no—
1034C22×D4—112no—
1035C22×D4—112no—
1036C22×D4—112no—
1037C22×D4—111no—
1038C22×D4—112no—
1039C22×D4—112no—
1040C22×D4—118no—
1041C22×D4—111no—
1042C22×D4—228no—
1043C22×D4C22×D1111yescharacteristic
1044C23×C4—111no—
1045C23×C4—112no—
1046C23×C4—112no—
1047C23×C4—112no—
1048C23×C4—118no—
1049C23×C4—114no—
1050C4⋊Q8—114no—
1051C4⋊Q8—112no—
1052C4⋊Q8—112no—
1053C4⋊Q8—114no—
1054C4⋊Q8—112no—
1055C4⋊Q8—112no—
1056C4⋊Q8—118no—
1057C4⋊Q8—112no—
1058C4⋊Q8—112no—
1059C4⋊Q8C22×D1112yescomplemented
1060C4⋊Q8C22×D1112yescomplemented
1061#127—118no—
1062#127—112no—
1063#127—112no—
1064#127—112no—
1065#127C22×D1112yes—
1066#126—118no—
1067#126—118no—
1068#126—118no—
1069#126—118no—
1070#126—118no—
1071#126—118no—
1072#126—118no—
1073#126—118no—
1074#126—118no—
1075#126—118no—
1076#126—118no—
1077#126—118no—
1078#126—118no—
1079#126—118no—
1080#126C22×D1118yescomplemented
1081#126C22×D1118yescomplemented
1082#125—114no—
1083#125—114no—
1084#125—112no—
1085#125—112no—
1086#125—112no—
1087#125C22×D1112yescomplemented
1088#124—112no—
1089#124—112no—
1090#124—114no—
1091#124—112no—
1092#124—112no—
1093#124—118no—
1094#124—112no—
1095#124—112no—
1096#124—114no—
1097#124—112no—
1098#124—112no—
1099#124—118no—
1100#124—118no—
1101#124—118no—
1102#124—118no—
1103#124—118no—
1104#124—118no—
1105#124—118no—
1106#124—118no—
1107#124—118no—
1108#124—118no—
1109#124—118no—
1110#124—112no—
1111#124—112no—
1112#124—114no—
1113#124—112no—
1114#124—112no—
1115#124—118no—
1116#124C22×D1112yes—
1117#124C22×D1112yes—
1118#124C22×D1114yes—
1119#124C22×D1112yes—
1120#124C22×D1112yescomplemented
1121#124C22×D1118yescomplemented
1122#123—118no—
1123#123—114no—
1124#123—118no—
1125#123—118no—
1126#123—114no—
1127#123—118no—
1128#123—118no—
1129#123—118no—
1130#123—118no—
1131#123—118no—
1132#123—118no—
1133#123—118no—
1134#123—118no—
1135#123—118no—
1136#123—118no—
1137#123—114no—
1138#123—118no—
1139#123—118no—
1140#123—118no—
1141#123C22×D1114yes—
1142#123C22×D1118yescomplemented
1143#123C22×D1118yescomplemented
1144C22⋊Q8—114no—
1145C22⋊Q8—114no—
1146C22⋊Q8—118no—
1147C22⋊Q8—114no—
1148C22⋊Q8—114no—
1149C22⋊Q8—118no—
1150C22⋊Q8—118no—
1151C22⋊Q8—114no—
1152C22⋊Q8—114no—
1153C22⋊Q8—114no—
1154C22⋊Q8—114no—
1155C22⋊Q8—118no—
1156C22⋊Q8—118no—
1157C22⋊Q8—118no—
1158C22⋊Q8—118no—
1159C22⋊Q8—114no—
1160C22⋊Q8—114no—
1161C22⋊Q8—118no—
1162C22⋊Q8—118no—
1163C22⋊Q8C22×D1114yes—
1164C22⋊Q8C22×D1114yescomplemented
1165C22⋊Q8C22×D1118yescomplemented
1166#121—114no—
1167#121—118no—
1168#121—114no—
1169#121—114no—
1170#121—118no—
1171#121C22×D1114yes—
1172#120—114no—
1173#120—114no—
1174#120—118no—
1175#120—118no—
1176#120—114no—
1177#120C22×D1114yes—
1178C4×Q8—112no—
1179C4×Q8—114no—
1180C4×Q8—114no—
1181C4×Q8—114no—
1182C4×Q8—114no—
1183C4×Q8—112no—
1184C4×Q8—118no—
1185C4×Q8—114no—
1186C4×Q8—118no—
1187C4×Q8—114no—
1188C4×Q8—114no—
1189C4×Q8—114no—
1190C4×Q8—114no—
1191C4×Q8—112no—
1192C4×Q8—114no—
1193C4×Q8—118no—
1194C4×Q8—114no—
1195C4×Q8—114no—
1196C4×Q8—118no—
1197C4×Q8—114no—
1198C4×Q8—114no—
1199C4×Q8—114no—
1200C4×Q8C22×D1112yescomplemented
1201C4×Q8C22×D1114yescomplemented
1202C4×Q8C22×D1114yescomplemented
1203C4×Q8C22×D1114yescomplemented
1204C4×D4—114no—
1205C4×D4—112no—
1206C4×D4—114no—
1207C4×D4—114no—
1208C4×D4—118no—
1209C4×D4—114no—
1210C4×D4—114no—
1211C4×D4—114no—
1212C4×D4—118no—
1213C4×D4—118no—
1214C4×D4—118no—
1215C4×D4—118no—
1216C4×D4—114no—
1217C4×D4—112no—
1218C4×D4—114no—
1219C4×D4—114no—
1220C4×D4—118no—
1221C4×D4—114no—
1222C4×D4—114no—
1223C4×D4—114no—
1224C4×D4—118no—
1225C4×D4—118no—
1226C4×D4—118no—
1227C4×D4—118no—
1228C4×D4—114no—
1229C4×D4—112no—
1230C4×D4—114no—
1231C4×D4—114no—
1232C4×D4—118no—
1233C4×D4C22×D1114yes—
1234C4×D4C22×D1114yes—
1235C4×D4C22×D1114yes—
1236C4×D4C22×D1112yescomplemented
1237C4×D4C22×D1118yescomplemented
1238#117—111no—
1239#117—112no—
1240#117—111no—
1241#117—111no—
1242#117—114no—
1243#117—118no—
1244#117—112no—
1245#117—114no—
1246#117—112no—
1247#117—112no—
1248#117—118no—
1249#117—118no—
1250#117—118no—
1251#117—112no—
1252#117—114no—
1253#117—112no—
1254#117—112no—
1255#117—114no—
1256#117—114no—
1257#117—118no—
1258#117—118no—
1259#117—112no—
1260#117—112no—
1261#117—112no—
1262#117—112no—
1263#117—112no—
1264#117—118no—
1265#117—118no—
1266#117—118no—
1267#117C22×D1111yescharacteristic
1268#117C22×D1111yescharacteristic
1269#117C22×D1111yescharacteristic
1270#117C22×D1114yes—
1271#117C22×D1112yescomplemented
1272#117C22×D1118yescomplemented
1273C2×C4⋊C4—114no—
1274C2×C4⋊C4—112no—
1275C2×C4⋊C4—112no—
1276C2×C4⋊C4—114no—
1277C2×C4⋊C4—112no—
1278C2×C4⋊C4—118no—
1279C2×C4⋊C4—118no—
1280C2×C4⋊C4—114no—
1281C2×C4⋊C4—114no—
1282C2×C22⋊C4—114no—
1283C2×C22⋊C4—114no—
1284C2×C22⋊C4—118no—
1285C2×C22⋊C4—114no—
1286C2×C22⋊C4—114no—
1287C2×C22⋊C4—112no—
1288C2×C22⋊C4—112no—
1289C2×C22⋊C4—118no—
1290C2×C22⋊C4—118no—
1291C2×C22⋊C4—114no—
1292C2×C22⋊C4—114no—
1293C2×C22⋊C4—118no—
1294C2×C22⋊C4—118no—
1295C2×C22⋊C4—118no—
1296C2×C22⋊C4—118no—
1297C2×C22⋊C4—112no—
1298C2×C22⋊C4—114no—
1299C2×C22⋊C4—118no—
1300C2×C22⋊C4—118no—
1301C2×C22⋊C4C22×D1114yes—
1302C2×C22⋊C4C22×D1114yes—
1303C2×C42—112no—
1304C2×C42—111no—
1305C2×C42—114no—
1306C2×C42—112no—
1307C2×C42—112no—
1308C2×C42—118no—
1309C2×C42—114no—
1310C2×C42—111no—
1311C2×C42—112no—
1312C2×C42—112no—
1313C2×C42—112no—
1314C2×C42—112no—
1315C2×C42—111no—
1316C2×C42—111no—
1317C2×C42—114no—
1318C2×C42—112no—
1319C2×C42—112no—
1320C2×C42—111no—
1321C2×C42C22×D1111yescharacteristic
1322C2×C42C22×D1112yescomplemented
1323C2×C11—22no—
1324C2×C11—44no—
1325C2×C11—42no—
1326C2×C11C23×#4111yescharacteristic
1327C2×C11C2×#58512yes—
1328D11—22no—
1329D11—42no—
1330D11—44no—
1331D11#351014yesdirect product factor
1332C24—111no—
1333C24—114no—
1334C24—112no—
1335C24—114no—
1336C24—112no—
1337C24—228no—
1338C24—448no—
1339C24C23×D1112yes—
1340#41—24no—
1341#41—228no—
1342#41—228no—
1343#41—224no—
1344#41—224no—
1345#41—224no—
1346C2×Q8—24no—
1347C2×Q8—114no—
1348C2×Q8—112no—
1349C2×Q8—114no—
1350C2×Q8—112no—
1351C2×Q8—112no—
1352C2×Q8—111no—
1353C2×Q8—114no—
1354C2×Q8—114no—
1355C2×Q8—114no—
1356C2×Q8—228no—
1357C2×Q8—228no—
1358C2×Q8—228no—
1359C2×Q8—228no—
1360C2×Q8—228no—
1361C2×Q8—224no—
1362C2×Q8—224no—
1363C2×Q8—448no—
1364C2×Q8C23×D1112yes—
1365C2×Q8C23×D1112yes—
1366C2×Q8C23×D1111yescharacteristic
1367C2×Q8C23×D1114yes—
1368C2×D4—24no—
1369C2×D4—112no—
1370C2×D4—112no—
1371C2×D4—114no—
1372C2×D4—114no—
1373C2×D4—112no—
1374C2×D4—118no—
1375C2×D4—118no—
1376C2×D4—112no—
1377C2×D4—112no—
1378C2×D4—112no—
1379C2×D4—111no—
1380C2×D4—118no—
1381C2×D4—228no—
1382C2×D4—228no—
1383C2×D4—228no—
1384C2×D4—228no—
1385C2×D4—224no—
1386C2×D4—228no—
1387C2×D4—228no—
1388C2×D4—224no—
1389C2×D4—4416no—
1390C2×D4C23×D1112yes—
1391C2×D4C23×D1112yes—
1392C2×D4C23×D1112yes—
1393C2×D4C23×D1111yescharacteristic
1394C2×D4C23×D1118yes—
1395C22×C4—111no—
1396C22×C4—118no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—112no—
1402C22×C4—112no—
1403C22×C4—112no—
1404C22×C4—114no—
1405C22×C4—118no—
1406C22×C4—114no—
1407C22×C4—112no—
1408C22×C4—114no—
1409C22×C4—114no—
1410C22×C4—112no—
1411C22×C4—112no—
1412C22×C4—112no—
1413C22×C4—112no—
1414C22×C4—114no—
1415C22×C4—114no—
1416C22×C4—112no—
1417C22×C4—112no—
1418C22×C4—114no—
1419C22×C4—114no—
1420C22×C4—118no—
1421C22×C4—118no—
1422C22×C4—228no—
1423C22×C4—228no—
1424C22×C4—448no—
1425C22×C4—4416no—
1426C22×C4—444no—
1427C22×C4C23×D1112yes—
1428C22×C4C23×D1112yes—
1429C22×C4C23×D1112yes—
1430C22×C4C23×D1114yes—
1431C22×C4C23×D1118yes—
1432C22×C4C23×D1111yescharacteristic
1433C4⋊C4—114no—
1434C4⋊C4—114no—
1435C4⋊C4—114no—
1436C4⋊C4—114no—
1437C4⋊C4—112no—
1438C4⋊C4—114no—
1439C4⋊C4—112no—
1440C4⋊C4—114no—
1441C4⋊C4—114no—
1442C4⋊C4—114no—
1443C4⋊C4—114no—
1444C4⋊C4—112no—
1445C4⋊C4—118no—
1446C4⋊C4—118no—
1447C4⋊C4—118no—
1448C4⋊C4—118no—
1449C4⋊C4—118no—
1450C4⋊C4—118no—
1451C4⋊C4—114no—
1452C4⋊C4—114no—
1453C4⋊C4—114no—
1454C4⋊C4—114no—
1455C4⋊C4—114no—
1456C4⋊C4—114no—
1457C4⋊C4C23×D1114yes—
1458C4⋊C4C23×D1112yes—
1459C4⋊C4C23×D1112yes—
1460C4⋊C4C23×D1112yes—
1461C4⋊C4C23×D1118yes—
1462C4⋊C4C23×D1114yes—
1463C4⋊C4C23×D1118yes—
1464C4⋊C4C23×D1114yes—
1465C4⋊C4C23×D1114yes—
1466C22⋊C4—112no—
1467C22⋊C4—112no—
1468C22⋊C4—118no—
1469C22⋊C4—118no—
1470C22⋊C4—118no—
1471C22⋊C4—112no—
1472C22⋊C4—114no—
1473C22⋊C4—118no—
1474C22⋊C4—118no—
1475C22⋊C4—114no—
1476C22⋊C4—114no—
1477C22⋊C4—118no—
1478C22⋊C4—118no—
1479C22⋊C4—118no—
1480C22⋊C4—118no—
1481C22⋊C4—118no—
1482C22⋊C4—118no—
1483C22⋊C4—114no—
1484C22⋊C4—114no—
1485C22⋊C4—114no—
1486C22⋊C4—118no—
1487C22⋊C4—118no—
1488C22⋊C4—118no—
1489C22⋊C4—118no—
1490C22⋊C4C23×D1112yes—
1491C22⋊C4C23×D1112yes—
1492C22⋊C4C23×D1118yes—
1493C22⋊C4C23×D1118yes—
1494C22⋊C4C23×D1118yes—
1495C22⋊C4C23×D1112yes—
1496C22⋊C4C23×D1114yes—
1497C22⋊C4C23×D1118yes—
1498C22⋊C4C23×D1118yes—
1499C42—112no—
1500C42—111no—
1501C42—114no—
1502C42—112no—
1503C42—114no—
1504C42—114no—
1505C42—114no—
1506C42—112no—
1507C42—111no—
1508C42—112no—
1509C42—112no—
1510C42—112no—
1511C42—118no—
1512C42—118no—
1513C42—118no—
1514C42—114no—
1515C42—112no—
1516C42—114no—
1517C42—112no—
1518C42C23×D1111yescharacteristic
1519C42C23×D1111yescharacteristic
1520C42C23×D1112yes—
1521C42C23×D1112yes—
1522C42C23×D1114yes—
1523C42C23×D1118yes—
1524C42C23×D1112yes—
1525C42C23×D1112yes—
1526C11C2×#351011yescharacteristic, complemented, Sylow
1527C23—24no—
1528C23—44no—
1529C23—111no—
1530C23—114no—
1531C23—111no—
1532C23—114no—
1533C23—112no—
1534C23—224no—
1535C23—224no—
1536C23—228no—
1537C23—2216no—
1538C23—228no—
1539C23—228no—
1540C23—224no—
1541C23—444no—
1542C23—448no—
1543C23—8816no—
1544C23C24×D1114yes—
1545C23C24×D1112yes—
1546C23C24×D1111yescharacteristic
1547Q8—24no—
1548Q8—24no—
1549Q8—22no—
1550Q8—44no—
1551Q8—228no—
1552Q8—228no—
1553Q8—224no—
1554Q8—224no—
1555Q8—224no—
1556Q8—222no—
1557Q8—444no—
1558Q8—444no—
1559Q8—444no—
1560D4—24no—
1561D4—24no—
1562D4—24no—
1563D4—22no—
1564D4—48no—
1565D4—224no—
1566D4—228no—
1567D4—228no—
1568D4—224no—
1569D4—224no—
1570D4—224no—
1571D4—224no—
1572D4—224no—
1573D4—222no—
1574D4—448no—
1575D4—448no—
1576D4—448no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—42no—
1582C2×C4—114no—
1583C2×C4—111no—
1584C2×C4—111no—
1585C2×C4—114no—
1586C2×C4—114no—
1587C2×C4—114no—
1588C2×C4—114no—
1589C2×C4—112no—
1590C2×C4—114no—
1591C2×C4—114no—
1592C2×C4—114no—
1593C2×C4—112no—
1594C2×C4—112no—
1595C2×C4—114no—
1596C2×C4—224no—
1597C2×C4—224no—
1598C2×C4—228no—
1599C2×C4—228no—
1600C2×C4—228no—
1601C2×C4—224no—
1602C2×C4—228no—
1603C2×C4—224no—
1604C2×C4—228no—
1605C2×C4—224no—
1606C2×C4—224no—
1607C2×C4—224no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—448no—
1611C2×C4—442no—
1612C2×C4—448no—
1613C2×C4—442no—
1614C2×C4—444no—
1615C2×C4—448no—
1616C2×C4—442no—
1617C2×C4#41×D1114yes—
1618C2×C4C24×D1112yes—
1619C2×C4C24×D1114yes—
1620C2×C4C24×D1114yes—
1621C2×C4C24×D1114yes—
1622C2×C4C24×D1112yes—
1623C2×C4C24×D1112yes—
1624C2×C4C24×D1114yes—
1625C2×C4C24×D1111yescharacteristic
1626C2×C4C24×D1111yescharacteristic
1627C22—22no—
1628C22—22no—
1629C22—24no—
1630C22—24no—
1631C22—28no—
1632C22—84no—
1633C22—112no—
1634C22—114no—
1635C22—112no—
1636C22—228no—
1637C22—222no—
1638C22—222no—
1639C22—224no—
1640C22—224no—
1641C22—228no—
1642C22—4416no—
1643C22—448no—
1644C22—884no—
1645C22—888no—
1646C22C2×#41×D1112yes—
1647C22C25×D1111yescharacteristic
1648C4—22no—
1649C4—24no—
1650C4—22no—
1651C4—24no—
1652C4—24no—
1653C4—22no—
1654C4—24no—
1655C4—112no—
1656C4—112no—
1657C4—222no—
1658C4—224no—
1659C4—222no—
1660C4—224no—
1661C4—224no—
1662C4—222no—
1663C4—224no—
1664C4C2×#41×D1112yes—
1665C4C2×#41×D1112yes—
1666C2—22no—
1667C2—44no—
1668C2—42no—
1669C2—114no—
1670C2—222no—
1671C2—444no—
1672C2—442no—
1673C2C22×#41×D1111yescharacteristic
1674C2D11×#58512yes—
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3510C2
prime radicalD11×#535C2
hypercenter#3510D11
hypocenterC11C2×#3510
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #13082515C2semidirect
2. #13082514C2semidirect
3. #13082513C2semidirect
4. #13082512C2semidirect
5. #13082511C2semidirect
6. #13082510C2semidirect
7. #13082509C2semidirect
8. #13082508C2semidirect
9. #13082507C2semidirect
10. #13082506C2semidirect
11. #13082505C2semidirect
12. #13082504C2semidirect
13. D11×#559C2semidirect
14. D11×#556C2semidirect
15. D11×#551C2semidirect
16. D11×#542C2semidirect
17. D11×#536C2semidirect
19. D11×#533C2semidirect
20. D11×#529C2semidirect
21. C2×D11×#124C2semidirect
22. D11×#519C2semidirect
23. D11×#518C2semidirect
24. C4×#41×D11C2semidirect
25. C11×#3510C2semidirect
29. C11×#559C22semidirect
30. C11×#556C22semidirect
31. C11×#551C22semidirect
32. C11×#542C22semidirect
33. C11×#536C22semidirect
35. C11×#533C22semidirect
36. C11×#529C22semidirect
37. C2×C11×#124C22semidirect
38. C11×#519C22semidirect
39. C11×#518C22semidirect
40. C4×C11×#41C22semidirect
42. #41×Dic11C22semidirect
43. #10623356C22semidirect
44. #10623347C22semidirect
45. C2×#67000C22semidirect
46. #10623343C22semidirect
48. #10623329C22semidirect
49. C2×#66989C22semidirect
50. #10623264C22semidirect
51. #10623263C22semidirect
52. #10623259C22semidirect
53. #10623255C22semidirect
54. D11×C4⋊Q8C22semidirect
55. D11×C4⋊Q8C22semidirect
58. #10623244C22semidirect
59. #10623241C22semidirect
60. #10623237C22semidirect
61. #10623236C22semidirect
62. #10623236C22semidirect
63. D11×#126C22semidirect
64. D11×#126C22semidirect
65. #10623233C22semidirect
66. #10623233C22semidirect
67. #10623222C22semidirect
68. #10623219C22semidirect
69. D11×#125C22semidirect
70. #10623213C22semidirect
71. #10623212C22semidirect
72. #10623212C22semidirect
73. #10623212C22semidirect
74. #10623211C22semidirect
75. #10623210C22semidirect
76. #10623206C22semidirect
82. D11×#124C22semidirect
83. D11×#124C22semidirect
84. D11×#124C22semidirect
85. D11×#124C22semidirect
86. D11×#124C22semidirect
87. #10623202C22semidirect
88. #10623202C22semidirect
89. #10623200C22semidirect
90. #10623195C22semidirect
91. #10623195C22semidirect
92. #10623193C22semidirect
93. #10623190C22semidirect
94. #10623189C22semidirect
95. #10623189C22semidirect
97. D11×#123C22semidirect
98. D11×#123C22semidirect
99. #10623180C22semidirect
100. #10623179C22semidirect
101. #10623174C22semidirect
102. #10623172C22semidirect
103. #10623171C22semidirect
104. #10623168C22semidirect
105. #10623168C22semidirect
106. #10623159C22semidirect
108. D11×C22⋊Q8C22semidirect
109. D11×C22⋊Q8C22semidirect
110. #10623155C22semidirect
111. #10623153C22semidirect
114. #10623134C22semidirect
115. #10623131C22semidirect
118. #10623118C22semidirect
119. #10623116C22semidirect
120. #10623116C22semidirect
121. #10623115C22semidirect
122. #10623113C22semidirect
123. #10623111C22semidirect
124. #10623109C22semidirect
125. C4×#4343C22semidirect
126. #10623103C22semidirect
127. #10623103C22semidirect
128. C4×Q8×D11C22semidirect
129. C4×Q8×D11C22semidirect
130. C4×Q8×D11C22semidirect
131. C4×Q8×D11C22semidirect
132. #10623099C22semidirect
133. #10623099C22semidirect
134. #10623092C22semidirect
135. #10623090C22semidirect
136. #10623090C22semidirect
137. #10623090C22semidirect
138. #10623088C22semidirect
139. #10623087C22semidirect
140. #10623087C22semidirect
141. #10623076C22semidirect
142. #10623076C22semidirect
146. C4×D4×D11C22semidirect
147. C4×D4×D11C22semidirect
148. #10623073C22semidirect
149. #10623069C22semidirect
150. C4×#4341C22semidirect
151. C4×#4341C22semidirect
152. #10623065C22semidirect
153. #10623064C22semidirect
154. #10623059C22semidirect
155. #10623058C22semidirect
156. #10623058C22semidirect
157. #10623057C22semidirect
159. #10623053C22semidirect
160. #10623053C22semidirect
161. #10623052C22semidirect
162. #10623052C22semidirect
167. D11×#117C22semidirect
168. D11×#117C22semidirect
169. #10623048C22semidirect
170. #10623048C22semidirect
171. #10623047C22semidirect
172. #10623047C22semidirect
173. #10623047C22semidirect
174. #10623026C22semidirect
175. #10623026C22semidirect
176. C2×#66938C22semidirect
177. #10623017C22semidirect
180. #10623010C22semidirect
181. C2×#66928C22semidirect
182. C4×#4339C22semidirect
183. C4×#4339C22semidirect
185. C2×C42×D11C22semidirect
186. #10623001C22semidirect
222. C11×C4⋊Q8C23semidirect
223. C11×C4⋊Q8C23semidirect
225. C11×#126C23semidirect
226. C11×#126C23semidirect
227. C11×#125C23semidirect
232. C11×#124C23semidirect
233. C11×#124C23semidirect
235. C11×#123C23semidirect
236. C11×#123C23semidirect
238. C11×C22⋊Q8C23semidirect
239. C11×C22⋊Q8C23semidirect
242. C4×Q8×C11C23semidirect
243. C4×Q8×C11C23semidirect
244. C4×Q8×C11C23semidirect
245. C4×Q8×C11C23semidirect
249. C4×D4×C11C23semidirect
250. C4×D4×C11C23semidirect
255. C11×#117C23semidirect
256. C11×#117C23semidirect
260. C2×C42×C11C23semidirect
268. #67000C23semidirect
269. #67000C23semidirect
271. #66999C23semidirect
272. #66999C23semidirect
273. Q8×Dic11C23semidirect
274. Q8×Dic11C23semidirect
275. Q8×Dic11C23semidirect
276. Q8×Dic11C23semidirect
277. #66997C23semidirect
278. #66997C23semidirect
279. #66997C23semidirect
291. #66989C23semidirect
292. #66989C23semidirect
294. #66988C23semidirect
295. #66988C23semidirect
299. D4×Dic11C23semidirect
300. D4×Dic11C23semidirect
303. #66982C23semidirect
304. #66982C23semidirect
309. C4×C22⋊D11C23semidirect
310. C4×C22⋊D11C23semidirect
311. C4×C22⋊D11C23semidirect
319. #66979C23semidirect
320. #66979C23semidirect
322. #66977C23semidirect
323. #66977C23semidirect
326. C2×C4×Dic11C23semidirect
327. C2×C4×Dic11C23semidirect
328. #66951C23semidirect
329. #66951C23semidirect
330. #66951C23semidirect
331. #66951C23semidirect
332. #66951C23semidirect
333. #66951C23semidirect
335. #66950C23semidirect
336. #66950C23semidirect
339. #66949C23semidirect
340. #66949C23semidirect
341. #66949C23semidirect
344. #66947C23semidirect
345. #66947C23semidirect
346. #66947C23semidirect
347. #66947C23semidirect
351. #66946C23semidirect
352. #66946C23semidirect
357. #66945C23semidirect
358. #66945C23semidirect
359. #66945C23semidirect
369. #66943C23semidirect
370. #66943C23semidirect
371. #66942C23semidirect
372. #66942C23semidirect
373. #66941C23semidirect
374. #66941C23semidirect
375. #66941C23semidirect
376. #66941C23semidirect
377. #66940C23semidirect
378. #66940C23semidirect
379. #66940C23semidirect
380. #66940C23semidirect
381. #66940C23semidirect
382. #66940C23semidirect
383. #66940C23semidirect
384. #66940C23semidirect
385. #66940C23semidirect
387. #66939C23semidirect
388. #66939C23semidirect
394. #66938C23semidirect
395. #66938C23semidirect
396. #66938C23semidirect
397. #66938C23semidirect
398. #66938C23semidirect
401. #66936C23semidirect
402. #66936C23semidirect
403. #66936C23semidirect
404. #66936C23semidirect
411. (C22⋊D11)⋊C4C23semidirect
412. (C22⋊D11)⋊C4C23semidirect
413. (C22⋊D11)⋊C4C23semidirect
428. #66932C23semidirect
429. #66932C23semidirect
430. #66932C23semidirect
431. #66932C23semidirect
432. #66932C23semidirect
433. #66932C23semidirect
436. #66931C23semidirect
437. #66931C23semidirect
438. #66931C23semidirect
444. #66930C23semidirect
445. #66930C23semidirect
446. #66930C23semidirect
447. #66929C23semidirect
448. #66929C23semidirect
453. #66928C23semidirect
454. #66928C23semidirect
459. C4×D44C23semidirect
460. C4×D44C23semidirect
465. #66925C23semidirect
466. #66925C23semidirect
467. #66925C23semidirect
468. #66925C23semidirect
480. C42×D11C23semidirect
481. C42×D11C23semidirect
482. C42×D11C23semidirect
483. #66923C23semidirect
484. #66922C23semidirect
485. #66922C23semidirect
486. C4×Dic22C23semidirect
487. C4×Dic22C23semidirect
488. C4×Dic22C23semidirect
489. C4×Dic22C23semidirect
490. C4×Dic22C23semidirect
491. C4×Dic22C23semidirect
492. C4×Dic22C23semidirect
493. C4×Dic22C23semidirect
494. C4×Dic22C23semidirect
702. #3510D11direct (N × H)
829. #559C2×D11semidirect
841. #556C2×D11semidirect
857. #551C2×D11semidirect
869. #542C2×D11semidirect
877. #536C2×D11semidirect
893. #533C2×D11semidirect
908. #529C2×D11semidirect
925. C2×#124C2×D11semidirect
940. #519C2×D11semidirect
947. #518C2×D11semidirect
956. C4×#41C2×D11semidirect
1059. C4⋊Q8C22×D11semidirect
1060. C4⋊Q8C22×D11semidirect
1080. #126C22×D11semidirect
1081. #126C22×D11semidirect
1087. #125C22×D11semidirect
1120. #124C22×D11semidirect
1121. #124C22×D11semidirect
1142. #123C22×D11semidirect
1143. #123C22×D11semidirect
1164. C22⋊Q8C22×D11semidirect
1165. C22⋊Q8C22×D11semidirect
1200. C4×Q8C22×D11semidirect
1201. C4×Q8C22×D11semidirect
1202. C4×Q8C22×D11semidirect
1203. C4×Q8C22×D11semidirect
1236. C4×D4C22×D11semidirect
1237. C4×D4C22×D11semidirect
1271. #117C22×D11semidirect
1272. #117C22×D11semidirect
1322. C2×C42C22×D11semidirect
1331. D11#3510direct (N × H)
1526. C11C2×#3510semidirect

Maximal subgroups

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

subgroupindex
#130825152
#130825142
#130825132
#130825122
#130825112
#130825102
#130825092
#130825082
#130825072
#130825062
#130825052
#130825042
D11×#5592
D11×#5562
D11×#5512
D11×#5422
D11×#5362
D11×#5352
D11×#5332
D11×#5292
C2×D11×#1242
D11×#5192
D11×#5182
C4×#41×D112
C11×#35102
C2×#351011