Finite Group Databasebeta

← #15661519

Subgroups — #15661519

Order 2816.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083253C214yesmaximal, complemented
2#13083234C214yesmaximal, complemented
3#13083226C212yesmaximal, complemented
4#13083219C212yesmaximal, complemented
5#13083186C212yesmaximal, complemented
6#13083154C212yesmaximal, complemented
7#13083104C212yesmaximal, complemented
8#13083061C212yesmaximal, complemented
9#13083005C212yesmaximal, complemented
10#13082956C212yesmaximal, complemented
11#13082865C212yesmaximal, complemented
12#13082843C212yesmaximal, complemented
13#13082819C214yesmaximal, complemented
14#13082761C214yesmaximal, complemented
15#13082231C214yesmaximal, complemented
16#41×Dic22C212yesmaximal, complemented
17#13082180C212yesmaximal, complemented
18#13082176C214yesmaximal, complemented
19#13082045C214yesmaximal, complemented
20#13082043C214yesmaximal, complemented
21#13082019C212yesmaximal, complemented
22#13082005C212yesmaximal, complemented
23C2×#10623001C211yesmaximal, characteristic, complemented
24C2×#10623010C211yesmaximal, characteristic, complemented
25C11×#3444C211yesmaximal, characteristic, complemented
26C11×#533C2211yescharacteristic
27C11×#533C2211yescharacteristic, complemented
28C11×#533C2211yescharacteristic, complemented
29C11×#532C2211yescharacteristic
30C11×#532C2211yescharacteristic, complemented
31C11×#532C2211yescharacteristic, complemented
32C11×#529C2212yes—
33C11×#529C2212yes—
34C11×#529C2212yescomplemented
35C11×#529C2212yescomplemented
36C11×#529C2212yescomplemented
37C11×#529C2212yescomplemented
38C11×#525C2212yes—
39C11×#525C2212yes—
40C11×#525C2212yes—
41C4×C11×#41C2212yes—
42C4×C11×#41C2212yescomplemented
43C4×C11×#41C2212yescomplemented
44C22×C42×C11C2211yescharacteristic
45#10623364C2214yes—
46#10623359C2214yes—
47#41×Dic11C2214yes—
48#10623356C2214yescomplemented
49#10623355C2218yescomplemented
50C2×#66983C2211yescharacteristic
51C2×#66982C2212yes—
52C2×C4×C22⋊D11C2212yes—
53C2×#66979C2212yes—
54C2×#66977C2211yescharacteristic
55C2×#66977C2212yes—
56C2×#66977C2212yes—
57#10623262C2214yescomplemented
58#10623260C2214yescomplemented
59#10623260C2214yescomplemented
60#10623250C2214yescomplemented
61#10623243C2218yescomplemented
62#10623243C2218yescomplemented
63#10623241C2218yescomplemented
64#10623232C2218yescomplemented
65#10623230C2214yescomplemented
66#10623227C2218yescomplemented
67#10623220C2214yescomplemented
68#10623220C2214yescomplemented
69C11⋊#564C2214yescomplemented
70#10623215C2214yescomplemented
71#10623213C2214yescomplemented
72#10623213C2214yescomplemented
73#10623203C2214yescomplemented
74#10623200C2218yescomplemented
75#10623198C2218yes—
76#10623196C2218yescomplemented
77#10623189C2218yes—
78#10623182C2218yescomplemented
79#10623181C2218yes—
80#10623179C2218yescomplemented
81#10623177C2218yescomplemented
82#10623176C2214yes—
83#10623173C2214yescomplemented
84#10623172C2214yescomplemented
85#10623170C2214yescomplemented
86#10623166C2214yescomplemented
87#10623165C2214yes—
88#10623165C2214yes—
89#10623154C2214yes—
90#10623154C2214yes—
91#10623154C2214yescomplemented
92#10623152C2218yescomplemented
93#10623149C2214yescomplemented
94#10623148C2214yes—
95#10623148C2214yes—
96#10623147C2214yescomplemented
97#10623145C2214yescomplemented
98#10623142C2214yescomplemented
99#10623133C2214yes—
100#10623133C2214yes—
101#10623133C2214yescomplemented
102#10623128C2214yes—
103#10623122C2218yes—
104#10623118C2218yes—
105#10623115C2214yescomplemented
106#10623115C2212yescomplemented
107#10623114C2218yescomplemented
108#10623112C2214yescomplemented
109#10623110C2212yescomplemented
110#10623109C2218yescomplemented
111#10623109C2218yescomplemented
112#10623101C2212yescomplemented
113#10623100C2214yescomplemented
114#10623098C2214yescomplemented
115Q8×Dic22C2212yescomplemented
116#10623095C2218yescomplemented
117#10623095C2218yescomplemented
118#10623094C2212yescomplemented
119#10623092C2218yescomplemented
120#10623089C2214yescomplemented
121#10623088C2218yescomplemented
122#10623087C2218yes—
123#10623086C2214yes—
124#10623083C2214yes—
125#10623083C2214yescomplemented
126#10623082C2212yescomplemented
127#10623081C2214yes—
128#10623074C2214yes—
129#10623074C2212yescomplemented
130#10623072C2214yes—
131#10623072C2214yescomplemented
132#10623072C2214yescomplemented
133#10623070C2218yes—
134#10623070C2214yescomplemented
135#10623069C2218yescomplemented
136#10623069C2218yescomplemented
137#10623069C2218yescomplemented
138#10623069C2218yescomplemented
139D4×Dic22C2214yes—
140D4×Dic22C2212yescomplemented
141D4×Dic22C2214yescomplemented
142C4×#4341C2218yescomplemented
143#10623065C2214yes—
144#10623065C2214yescomplemented
145#10623064C2218yescomplemented
146#10623062C2218yescomplemented
147#10623062C2218yescomplemented
148#10623059C2218yescomplemented
149#10623057C2214yescomplemented
150D11×#117C2214yes—
151#10623050C2214yescomplemented
152#10623049C2214yescomplemented
153#10623049C2214yescomplemented
154#10623048C2214yes—
155#10623048C2218yescomplemented
156#10623010C2212yes—
157#10623010C2212yes—
158#10623010C2212yes—
159#10623010C2212yes—
160#10623010C2212yes—
161#10623010C2212yes—
162#10623010C2212yes—
163#10623010C2212yes—
164#10623010C2214yescomplemented
165C2×#66929C2212yes—
166C2×#66928C2211yescharacteristic
167C4×#4339C2214yescomplemented
168C2×C4×D44C2211yescharacteristic
169C2×#66925C2212yes—
170#10623001C2212yes—
171#10623001C2212yes—
172#10623001C2212yes—
173#10623001C2212yes—
174#10623001C2212yescomplemented
175#10623001C2212yescomplemented
176#10623001C2212yescomplemented
177#10623001C2212yescomplemented
178#10623001C2214yescomplemented
179C2×#66923C2211yescharacteristic
180C2×#66923C2212yescomplemented
181C2×#66922C2211yescharacteristic, complemented
182C2×#66922C2211yescharacteristic, complemented
183C2×C4×Dic22C2211yescharacteristic
184C2×C4×Dic22C2212yescomplemented
185C2×C4×Dic22C2212yescomplemented
186C2×C4×Dic22C2214yescomplemented
187C2×C11×#41C2312yes—
188C2×C11×#41C2312yes—
189C2×C11×#41C2312yes—
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2312yes—
194C2×#4341C2318yes—
195C2×#4339C2314yes—
196C22×D44C2311yescharacteristic
197C22×C4×D11C2312yes—
198C22×Dic22C2311yescharacteristic
199C22×Dic22C2312yes—
200C22×Dic22C2312yes—
201C22×Dic22C2314yes—
202C11×C4⋊Q8C2311yescharacteristic
203C11×C4⋊Q8C2311yescharacteristic
204C11×C4⋊Q8C2311yescharacteristic
205C11×#127C2311yescharacteristic
206C11×#126C2314yes—
207C11×#126C2314yes—
208C11×#125C2312yes—
209C11×#125C2312yes—
210C11×#125C2312yes—
211C11×#124C2312yes—
212C11×#124C2312yes—
213C11×#124C2312yes—
214C11×#123C2314yes—
215C11×#123C2314yes—
216C11×#123C2314yes—
217C11×C22⋊Q8C2312yes—
218C11×C22⋊Q8C2312yes—
219C11×C22⋊Q8C2312yes—
220C11×C22⋊Q8C2312yes—
221C11×C22⋊Q8C2312yes—
222C11×C22⋊Q8C2312yes—
223C11×#121C2312yes—
224C11×#121C2312yes—
225C11×#121C2312yes—
226C11×#121C2312yes—
227C11×#121C2312yes—
228C11×#121C2312yes—
229C11×#120C2314yes—
230C4×Q8×C11C2312yes—
231C4×Q8×C11C2312yes—
232C4×Q8×C11C2312yes—
233C4×Q8×C11C2312yes—
234C4×Q8×C11C2312yes—
235C4×Q8×C11C2312yes—
236C4×D4×C11C2314yes—
237C4×D4×C11C2314yes—
238C4×D4×C11C2314yes—
239C4×D4×C11C2312yes—
240C4×D4×C11C2312yes—
241C4×D4×C11C2312yes—
242C4×D4×C11C2314yes—
243C4×D4×C11C2314yes—
244C4×D4×C11C2312yes—
245C4×D4×C11C2312yes—
246C4×D4×C11C2314yes—
247C4×D4×C11C2312yes—
248C11×#117C2312yes—
249C11×#117C2314yes—
250C11×#117C2312yes—
251C11×#117C2314yes—
252C11×#117C2312yes—
253C11×#117C2314yes—
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
256C2×C42×C11C2311yescharacteristic
257C2×C42×C11C2314yes—
258C2×C42×C11C2311yescharacteristic
259C2×C42×C11C2311yescharacteristic
260C2×C42×C11C2311yescharacteristic
261C2×C42×C11C2311yescharacteristic
262C2×C42×C11C2311yescharacteristic
263C2×C42×C11C2311yescharacteristic
264C2×C42×C11C2311yescharacteristic
265C2×C42×C11C2311yescharacteristic
266C2×C42×C11C2311yescharacteristic
267C2×C22⋊Dic11C2314yes—
268C2×C22⋊Dic11C2312yes—
269#66999C2318yes—
270#66999C2318yes—
271#66999C2314yes—
272#66999C2314yes—
273Q8×Dic11C2314yes—
274Q8×Dic11C2314yes—
275#66997C2318yes—
276#66997C2318yes—
277#66992C2318yes—
278#66992C2318yes—
279#66992C2318yes—
280#66992C2318yes—
281#66991C2314yes—
282#66991C2314yes—
283#66991C2318yes—
284#66990C2318yes—
285#66989C2318yes—
286#66988C2318yes—
287#66988C2318yes—
288#66988C2318yes—
289#66988C2318yes—
290#66988C2318yes—
291D4×Dic11C2314yes—
292D4×Dic11C2314yes—
293D4×Dic11C2318yes—
294D4×Dic11C2318yes—
295D4×Dic11C2318yes—
296#66983C2312yes—
297#66983C2312yes—
298#66983C2312yes—
299#66983C2312yes—
300#66983C2314yes—
301#66982C2314yes—
302#66982C2314yes—
303#66982C2314yes—
304#66982C2314yes—
305#66982C2318yes—
306C4×C22⋊D11C2318yes—
307C4×C22⋊D11C2318yes—
308C4×C22⋊D11C2314yes—
309C4×C22⋊D11C2314yes—
310C4×C22⋊D11C2314yes—
311C4×C22⋊D11C2314yes—
312C4×C22⋊D11C2318yes—
313C2×(C2×D11)⋊C4C2312yes—
314C2×(C2×D11)⋊C4C2312yes—
315C2×(C2×D11)⋊C4C2312yes—
316C2×(C2×D11)⋊C4C2312yes—
317#66979C2314yes—
318#66979C2314yes—
319#66979C2314yes—
320#66979C2314yes—
321#66979C2318yes—
322#66979C2314yes—
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2312yes—
325C2×C4⋊Dic11C2312yes—
326C2×C4⋊Dic11C2314yes—
327C2×C4⋊Dic11C2312yes—
328C2×C4⋊Dic11C2312yes—
329C2×C4⋊Dic11C2311yescharacteristic
330#66977C2314yes—
331#66977C2314yes—
332#66977C2314yes—
333#66977C2314yes—
334#66977C2314yes—
335#66977C2314yes—
336#66977C2314yes—
337#66977C2314yes—
338#66977C2314yes—
339#66977C2318yes—
340#66977C2314yes—
341#66977C2312yes—
342#66977C2312yes—
343#66977C2312yes—
344#66977C2312yes—
345#66977C2314yes—
346C2×Dic11⋊C4C2312yes—
347C2×Dic11⋊C4C2314yes—
348C2×Dic11⋊C4C2314yes—
349C2×Dic11⋊C4C2318yes—
350C2×Dic11⋊C4C2312yes—
351C2×Dic11⋊C4C2312yes—
352C2×Dic11⋊C4C2312yes—
353C2×C4×Dic11C2312yes—
354C2×C4×Dic11C2314yes—
355C2×C4×Dic11C2318yes—
356#66951C2318yes—
357#66951C2318yes—
358#66951C2318yes—
359#66951C2318yes—
360#66951C2318yes—
361#66950C2318yes—
362#66950C2318yes—
363#66950C2318yes—
364#66949C2318yes—
365#66949C2318yes—
366#66949C2318yes—
367#66949C2318yes—
368#66949C2318yes—
369#66947C2318yes—
370#66945C2318yes—
371#66945C2314yes—
372#66945C2314yes—
373C4⋊C4×D11C2314yes—
374C4⋊C4×D11C2314yes—
375#66943C2318yes—
376#66943C2318yes—
377#66943C2318yes—
378#66943C2314yes—
379#66943C2314yes—
380#66942C2318yes—
381#66942C2318yes—
382#66942C2318yes—
383#66942C2318yes—
384#66942C2318yes—
385#66942C2318yes—
386#66942C2318yes—
387#66942C2318yes—
388#66942C2318yes—
389#66941C2318yes—
390#66941C2318yes—
391#66941C2318yes—
392#66941C2318yes—
393#66941C2314yes—
394#66941C2314yes—
395#66940C2318yes—
396#66939C2318yes—
397#66939C2318yes—
398#66939C2318yes—
399#66939C2318yes—
400#66938C2318yes—
401#66938C2318yes—
402#66938C2318yes—
403#66938C2318yes—
404#66938C2318yes—
405#66937C2318yes—
406#66936C2318yes—
407#66936C2318yes—
408#66936C2318yes—
409(C22⋊D11)⋊C4C2318yes—
410(C22⋊D11)⋊C4C2318yes—
411C22⋊C4×D11C2318yes—
412#66932C2318yes—
413#66932C2318yes—
414#66932C2318yes—
415#66932C2318yes—
416#66932C2318yes—
417#66932C2318yes—
418#66932C2318yes—
419#66931C2318yes—
420#66931C2318yes—
421#66931C2318yes—
422#66931C2318yes—
423#66931C2318yes—
424#66931C2318yes—
425#66931C2318yes—
426#66931C2318yes—
427#66931C2318yes—
428#66931C2318yes—
429#66930C2318yes—
430#66930C2318yes—
431#66930C2318yes—
432#66929C2314yes—
433#66929C2314yes—
434#66929C2314yes—
435#66929C2314yes—
436#66929C2318yes—
437#66928C2312yes—
438#66928C2312yes—
439#66928C2312yes—
440#66928C2312yes—
441#66928C2314yes—
442C4×D44C2312yes—
443C4×D44C2312yes—
444C4×D44C2312yes—
445C4×D44C2312yes—
446C4×D44C2314yes—
447#66925C2314yes—
448#66925C2314yes—
449#66925C2314yes—
450#66925C2314yes—
451#66925C2318yes—
452#66925C2318yes—
453C42×D11C2318yes—
454#66923C2312yes—
455#66923C2314yes—
456#66923C2312yes—
457#66923C2312yes—
458#66923C2312yes—
459#66923C2314yes—
460#66923C2314yes—
461#66923C2314yes—
462#66923C2318yes—
463#66923C2314yes—
464#66922C2312yes—
465#66922C2312yes—
466#66922C2312yes—
467#66922C2312yes—
468#66922C2312yes—
469#66922C2312yes—
470#66922C2312yes—
471#66922C2312yes—
472#66922C2314yes—
473#66922C2314yes—
474C4×Dic22C2314yes—
475C4×Dic22C2312yes—
476C4×Dic22C2312yes—
477C4×Dic22C2312yes—
478C4×Dic22C2312yes—
479C4×Dic22C2314yes—
480C4×Dic22C2314yes—
481C4×Dic22C2314yes—
482C4×Dic22C2314yes—
483C4×Dic22C2314yes—
484C4×Dic22C2314yes—
485C4×Dic22C2314yes—
486C4×Dic22C2318yes—
487C4×Dic22C2314yes—
488C4×Dic22C2314yes—
489C4×Dic22C2318yes—
490C4×Dic22C2318yes—
491C4×Dic22C2314yes—
492#62752—111nomaximal, Sylow
493C24×C11C2411yescharacteristic
494C23×D11C2412yes—
495C11×#41—28no—
496C11×#41—44no—
497C11×#41—44no—
498C2×Q8×C11C2412yes—
499C2×Q8×C11C2412yes—
500C2×Q8×C11C2412yes—
501C2×D4×C11C2414yes—
502C2×D4×C11C2412yes—
503C2×D4×C11C2414yes—
504C2×D4×C11C2412yes—
505C2×D4×C11C2412yes—
506C2×D4×C11C2414yes—
507C22×C4×C11—24no—
508C22×C4×C11—42no—
509C22×C4×C11—42no—
510C22×C4×C11C2411yescharacteristic
511C22×C4×C11C2414yes—
512C22×C4×C11C2411yescharacteristic
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
515C22×C4×C11C2411yescharacteristic
516C22×C4×C11C2414yes—
517C22×C4×C11C2411yescharacteristic
518C22×C4×C11C2411yescharacteristic
519C22×C4×C11C2411yescharacteristic
520C22×C4×C11C2411yescharacteristic
521C22×C4×C11C2411yescharacteristic
522C22×C4×C11C2411yescharacteristic
523C22×C4×C11C2411yescharacteristic
524C22×C4×C11C2411yescharacteristic
525C22×C4×C11C2411yescharacteristic
526C22×C4×C11C2414yes—
527C22×C4×C11C2411yescharacteristic
528C22×C4×C11C2411yescharacteristic
529C22×C4×C11C2411yescharacteristic
530C22×C4×C11C2411yescharacteristic
531C2×C22⋊D11—44no—
532C2×C22⋊D11C2414yes—
533C2×C22⋊D11C2418yes—
534C2×C22⋊D11C2414yes—
535C2×C22⋊D11C2418yes—
536C22×Dic11C2412yes—
537C22×Dic11C2414yes—
538C22×Dic11C2418yes—
539C22×Dic11C2412yes—
540C22×Dic11C2412yes—
541C22×Dic11C2418yes—
542C22×Dic11C2414yes—
543#4341—416no—
544#4339—48no—
545C2×D44—42no—
546C2×D44C2412yes—
547C2×D44C2412yes—
548C2×C4×D11—28no—
549C2×C4×D11C2414yes—
550C2×C4×D11C2414yes—
551C2×C4×D11C2418yes—
552C2×C4×D11C2418yes—
553C2×Dic22—44no—
554C2×Dic22—42no—
555C2×Dic22—48no—
556C2×Dic22—44no—
557C2×Dic22C2414yes—
558C2×Dic22C2412yes—
559C2×Dic22C2414yes—
560C2×Dic22C2414yes—
561C2×Dic22C2414yes—
562C2×Dic22C2412yes—
563C2×Dic22C2418yes—
564C2×Dic22C2418yes—
565C11×C4⋊C4C2414yes—
566C11×C4⋊C4C2414yes—
567C11×C4⋊C4C2414yes—
568C11×C4⋊C4C2414yes—
569C11×C4⋊C4C2412yes—
570C11×C4⋊C4C2412yes—
571C11×C4⋊C4C2414yes—
572C11×C4⋊C4C2412yes—
573C11×C4⋊C4C2412yes—
574C11×C4⋊C4C2412yes—
575C11×C4⋊C4C2412yes—
576C11×C4⋊C4C2414yes—
577C11×C22⋊C4C2414yes—
578C11×C22⋊C4C2414yes—
579C11×C22⋊C4C2414yes—
580C11×C22⋊C4C2414yes—
581C11×C22⋊C4C2414yes—
582C11×C22⋊C4C2414yes—
583C11×C22⋊C4C2414yes—
584C11×C22⋊C4C2414yes—
585C11×C22⋊C4C2414yes—
586C42×C11C2411yescharacteristic
587C42×C11C2411yescharacteristic
588C42×C11C2411yescharacteristic
589C42×C11C2411yescharacteristic
590C42×C11C2414yes—
591C42×C11C2411yescharacteristic
592C42×C11C2411yescharacteristic
593C42×C11C2411yescharacteristic
594C42×C11C2411yescharacteristic
595C42×C11C2414yes—
596C42×C11C2411yescharacteristic
597C42×C11C2411yescharacteristic
598C42×C11C2414yes—
599C42×C11C2411yescharacteristic
600C42×C11C2411yescharacteristic
601C42×C11C2411yescharacteristic
602C42×C11C2411yescharacteristic
603C42×C11C2411yescharacteristic
604C42×C11C2411yescharacteristic
605C22⋊Dic11C2414yes—
606C22⋊Dic11C2418yes—
607C22⋊Dic11C2418yes—
608C22⋊Dic11C2418yes—
609C22⋊Dic11C2418yes—
610C22⋊Dic11C2418yes—
611C22⋊Dic11C2414yes—
612C22⋊Dic11C2418yes—
613(C2×D11)⋊C4C2414yes—
614(C2×D11)⋊C4C2414yes—
615(C2×D11)⋊C4C2414yes—
616(C2×D11)⋊C4C2414yes—
617(C2×D11)⋊C4C2414yes—
618(C2×D11)⋊C4C2418yes—
619(C2×D11)⋊C4C2418yes—
620(C2×D11)⋊C4C2418yes—
621(C2×D11)⋊C4C2414yes—
622(C2×D11)⋊C4C2414yes—
623(C2×D11)⋊C4C2414yes—
624(C2×D11)⋊C4C2418yes—
625C4⋊Dic11C2412yes—
626C4⋊Dic11C2414yes—
627C4⋊Dic11C2414yes—
628C4⋊Dic11C2414yes—
629C4⋊Dic11C2414yes—
630C4⋊Dic11C2412yes—
631C4⋊Dic11C2412yes—
632C4⋊Dic11C2418yes—
633C4⋊Dic11C2418yes—
634C4⋊Dic11C2414yes—
635C4⋊Dic11C2414yes—
636C4⋊Dic11C2414yes—
637C4⋊Dic11C2414yes—
638C4⋊Dic11C2418yes—
639C4⋊Dic11C2418yes—
640C4⋊Dic11C2412yes—
641Dic11⋊C4C2414yes—
642Dic11⋊C4C2418yes—
643Dic11⋊C4C2418yes—
644Dic11⋊C4C2418yes—
645Dic11⋊C4C2418yes—
646Dic11⋊C4C2414yes—
647Dic11⋊C4C2418yes—
648Dic11⋊C4C2418yes—
649Dic11⋊C4C2418yes—
650Dic11⋊C4C2418yes—
651Dic11⋊C4C2418yes—
652Dic11⋊C4C2414yes—
653Dic11⋊C4C2414yes—
654Dic11⋊C4C2414yes—
655Dic11⋊C4C2414yes—
656Dic11⋊C4C2418yes—
657Dic11⋊C4C2418yes—
658Dic11⋊C4C2414yes—
659Dic11⋊C4C2414yes—
660Dic11⋊C4C2418yes—
661C4×Dic11C2418yes—
662C4×Dic11C2414yes—
663C4×Dic11C2418yes—
664C4×Dic11C2414yes—
665C4×Dic11C2418yes—
666C4×Dic11C2418yes—
667C4×Dic11C2418yes—
668C4×Dic11C2418yes—
669#3565—114no—
670#3564—114no—
671#3563—112no—
672#3563—112no—
673#3561—112no—
674#3559—112no—
675#3555—112no—
676#3552—112no—
677#3547—112no—
678#3544—112no—
679#3538—112no—
680#3536—112no—
681#3535—114no—
682#3531—114no—
683#3482—114no—
684Q8×#41—112no—
685#3475—114no—
686#3475—112no—
687#3461—114no—
688#3461—114no—
689#3458—112no—
690#3455—112no—
691#3444D1111yescharacteristic, complemented
692C2×#533—111no—
693C2×#529—111no—
694C23×C11—22no—
695C23×C11—22no—
696C23×C11—41no—
697C23×C11C2511yescharacteristic
698C23×C11C2514yes—
699C23×C11C2511yescharacteristic
700C23×C11C2511yescharacteristic
701C22×D11—24no—
702C22×D11—42no—
703C22×D11—42no—
704C22×D11C2514yes—
705Q8×C11—24no—
706Q8×C11—42no—
707Q8×C11—42no—
708D4×C11—28no—
709D4×C11—28no—
710D4×C11—24no—
711D4×C11—42no—
712D4×C11—42no—
713D4×C11—44no—
714C2×C4×C11—22no—
715C2×C4×C11—22no—
716C2×C4×C11—22no—
717C2×C4×C11—22no—
718C2×C4×C11—22no—
719C2×C4×C11—22no—
720C2×C4×C11—22no—
721C2×C4×C11—28no—
722C2×C4×C11—22no—
723C2×C4×C11—22no—
724C2×C4×C11—28no—
725C2×C4×C11—22no—
726C2×C4×C11—41no—
727C2×C4×C11—41no—
728C2×C4×C11—41no—
729C2×C4×C11—41no—
730C2×C4×C11—41no—
731C2×C4×C11—41no—
732C2×C4×C11—41no—
733C2×C4×C11—44no—
734C2×C4×C112−1+414yes—
735C2×C4×C11C2511yescharacteristic
736C2×C4×C11C2514yes—
737C2×C4×C11C2514yes—
738C2×C4×C11C2514yes—
739C2×C4×C11C2511yescharacteristic
740C2×C4×C11C2511yescharacteristic
741C2×C4×C11C2511yescharacteristic
742C2×C4×C11C2511yescharacteristic
743C2×C4×C11C2511yescharacteristic
744C2×C4×C11C2511yescharacteristic
745C2×C4×C11C2511yescharacteristic
746C2×C4×C11C2511yescharacteristic
747C2×C4×C11C2511yescharacteristic
748C2×C4×C11C2511yescharacteristic
749C2×C4×C11C2511yescharacteristic
750C22⋊D11—28no—
751C22⋊D11—48no—
752C22⋊D11—48no—
753C22⋊D11—44no—
754C2×Dic11—24no—
755C2×Dic11—28no—
756C2×Dic11—42no—
757C2×Dic11—48no—
758C2×Dic11—44no—
759C2×Dic11—48no—
760C2×Dic11—42no—
761C2×Dic11C2514yes—
762C2×Dic11C2514yes—
763C2×Dic11C2518yes—
764C2×Dic11C2518yes—
765C2×Dic11C2514yes—
766D44—24no—
767D44—42no—
768C4×D11—28no—
769C4×D11—28no—
770C4×D11—48no—
771C4×D11—48no—
772Dic22—24no—
773Dic22—28no—
774Dic22—42no—
775Dic22—48no—
776Dic22—44no—
777Dic22—44no—
778Dic22—44no—
779Dic22—48no—
780#564—114no—
781#563—118no—
782#563—118no—
783#563—114no—
784#563—114no—
785#563—118no—
786#563—118no—
787#562—114no—
788#562—118no—
789#562—118no—
790Q82—112no—
791#557—114no—
792#557—114no—
793#557—112no—
794#556—114no—
795#556—112no—
796#556—114no—
797#556—118no—
798#555—114no—
799#555—112no—
800#554—114no—
801#554—112no—
802#554—118no—
803#554—114no—
804#554—114no—
805#554—112no—
806#553—114no—
807#553—114no—
808#553—114no—
809#552—118no—
810#552—114no—
811#552—114no—
812#552—114no—
813#552—114no—
814#552—114no—
815#552—114no—
816#552—118no—
817#552—118no—
818#551—118no—
819#551—118no—
820#551—118no—
821D4×Q8—114no—
822D4×Q8—112no—
823D4×Q8—114no—
824#548—114no—
825#548—114no—
826#547—118no—
827#547—114no—
828#547—112no—
829#547—114no—
830#546—118no—
831#546—114no—
832#544—114no—
833#544—114no—
834#544—114no—
835#544—114no—
836#544—114no—
837#544—114no—
838#544—114no—
839#544—114no—
840#543—114no—
841#543—114no—
842#542—118no—
843#542—114no—
844#542—114no—
845#542—118no—
846#542—118no—
847#542—114no—
848#542—114no—
849#541—114no—
850#541—118no—
851#541—118no—
852#541—118no—
853#541—114no—
854#541—114no—
855#540—114no—
856#539—118no—
857#539—114no—
858#539—114no—
859#539—114no—
860#539—114no—
861#539—118no—
862#539—118no—
863#538—114no—
864#538—114no—
865#537—114no—
866#537—114no—
867#536—114no—
868#536—118no—
869#536—114no—
870#533—118no—
871#533—118no—
872#533—114no—
873#533—118no—
874#533—112no—
875#533—112no—
876#533—112no—
877#533—112no—
878#533—112no—
879#533—112no—
880#533—112no—
881#533—112no—
882#533—114no—
883#533C2×D1111yescharacteristic
884#533C2×D1111yescharacteristic, complemented
885#533C2×D1111yescharacteristic, complemented
886#532C2×D1111yescharacteristic
887#532C2×D1111yescharacteristic, complemented
888#532C2×D1111yescharacteristic, complemented
889C2×C4⋊Q8—111no—
890C2×C4⋊Q8—111no—
891#529—118no—
892#529—118no—
893#529—118no—
894#529—118no—
895#529—118no—
896#529—118no—
897#529—112no—
898#529—112no—
899#529—112no—
900#529—112no—
901#529—112no—
902#529—112no—
903#529—112no—
904#529—112no—
905#529—114no—
906#529C2×D1112yes—
907#529C2×D1112yes—
908#529C2×D1112yescomplemented
909#529C2×D1112yescomplemented
910#529C2×D1112yescomplemented
911#529C2×D1112yescomplemented
912C2×#126—112no—
913C2×#125—111no—
914C2×#125—112no—
915C2×#124—111no—
916#525—114no—
917#525C2×D1112yes—
918#525C2×D1112yes—
919#525C2×D1112yes—
920C2×#123—112no—
921C2×C22⋊Q8—111no—
922C2×C22⋊Q8—112no—
923C2×C22⋊Q8—112no—
924C2×#121—111no—
925C4×#41—114no—
926C4×#41—118no—
927C4×#41—114no—
928C4×#41C2×D1112yes—
929C4×#41C2×D1112yescomplemented
930C4×#41C2×D1112yescomplemented
931C2×C4×Q8—111no—
932C2×C4×Q8—112no—
933C2×C4×Q8—112no—
934C2×C4×Q8—114no—
935C2×C4×D4—112no—
936C2×C4×D4—111no—
937C2×#117—112no—
938C2×#117—114no—
939C2×#117—112no—
940C22×C42C2×D1111yescharacteristic
941C22×C11—21no—
942C22×C11—21no—
943C22×C11—21no—
944C22×C11—21no—
945C22×C11—21no—
946C22×C11—24no—
947C22×C11—21no—
948C22×C11—24no—
949C22×C11—21no—
950C22×C11—24no—
951C22×C11—44no—
952C22×C11C2×2−1+412yes—
953C22×C11#58512yes—
954C22×C11C2611yescharacteristic
955C2×D11—24no—
956C2×D11—24no—
957C2×D11—24no—
958C2×D11—84no—
959C4×C11—21no—
960C4×C11—21no—
961C4×C11—24no—
962C4×C11—21no—
963C4×C11—21no—
964C4×C11—21no—
965C4×C11—21no—
966C4×C11—21no—
967C4×C11—21no—
968C4×C11—21no—
969C4×C11—24no—
970C4×C11—24no—
971C4×C11C2×2−1+412yes—
972C4×C11C2×2−1+412yes—
973C4×C11#58512yes—
974Dic11—24no—
975Dic11—24no—
976Dic11—28no—
977Dic11—28no—
978Dic11—24no—
979C2×#41—118no—
980C2×#41—114no—
981C2×#41C22×D1112yes—
982C2×#41C22×D1112yes—
983C2×#41C22×D1112yes—
984C22×Q8—111no—
985C22×Q8—112no—
986C22×Q8—112no—
987C22×Q8—114no—
988C22×D4—112no—
989C22×D4—111no—
990C23×C4—112no—
991C23×C4C22×D1111yescharacteristic
992C23×C4C22×D1111yescharacteristic
993C23×C4C22×D1111yescharacteristic
994C4⋊Q8—118no—
995C4⋊Q8—118no—
996C4⋊Q8—118no—
997C4⋊Q8—118no—
998C4⋊Q8—118no—
999C4⋊Q8—114no—
1000C4⋊Q8—114no—
1001C4⋊Q8—118no—
1002C4⋊Q8—112no—
1003C4⋊Q8—112no—
1004C4⋊Q8—112no—
1005C4⋊Q8—112no—
1006C4⋊Q8—112no—
1007C4⋊Q8—112no—
1008C4⋊Q8—112no—
1009C4⋊Q8—112no—
1010C4⋊Q8—114no—
1011C4⋊Q8—114no—
1012C4⋊Q8C22×D1111yescharacteristic
1013C4⋊Q8C22×D1111yescharacteristic
1014C4⋊Q8C22×D1111yescharacteristic
1015#127C22×D1111yescharacteristic
1016#126—118no—
1017#126—118no—
1018#126—118no—
1019#126—118no—
1020#126—118no—
1021#126—118no—
1022#126—118no—
1023#126—118no—
1024#126—118no—
1025#126—118no—
1026#126—118no—
1027#126—118no—
1028#126—114no—
1029#126—114no—
1030#126—114no—
1031#126—114no—
1032#126—118no—
1033#126C22×D1114yes—
1034#126C22×D1114yes—
1035#125—118no—
1036#125—118no—
1037#125—118no—
1038#125—118no—
1039#125—118no—
1040#125—118no—
1041#125—118no—
1042#125—118no—
1043#125—118no—
1044#125—118no—
1045#125—118no—
1046#125—118no—
1047#125—114no—
1048#125—114no—
1049#125—112no—
1050#125—112no—
1051#125—112no—
1052#125—112no—
1053#125—114no—
1054#125—114no—
1055#125—114no—
1056#125—114no—
1057#125—114no—
1058#125—118no—
1059#125C22×D1112yes—
1060#125C22×D1112yes—
1061#125C22×D1112yes—
1062#124—118no—
1063#124—118no—
1064#124—118no—
1065#124—118no—
1066#124—118no—
1067#124—118no—
1068#124—112no—
1069#124—112no—
1070#124—112no—
1071#124—112no—
1072#124—114no—
1073#124C22×D1112yes—
1074#124C22×D1112yes—
1075#124C22×D1112yes—
1076#123—118no—
1077#123—118no—
1078#123—118no—
1079#123—118no—
1080#123—118no—
1081#123—114no—
1082#123—114no—
1083#123—114no—
1084#123—114no—
1085#123—118no—
1086#123—118no—
1087#123—118no—
1088#123—118no—
1089#123—118no—
1090#123—118no—
1091#123—118no—
1092#123—118no—
1093#123—118no—
1094#123C22×D1114yes—
1095#123C22×D1114yes—
1096#123C22×D1114yes—
1097C22⋊Q8—114no—
1098C22⋊Q8—114no—
1099C22⋊Q8—118no—
1100C22⋊Q8—118no—
1101C22⋊Q8—112no—
1102C22⋊Q8—112no—
1103C22⋊Q8—112no—
1104C22⋊Q8—112no—
1105C22⋊Q8—114no—
1106C22⋊Q8—114no—
1107C22⋊Q8—114no—
1108C22⋊Q8—114no—
1109C22⋊Q8—114no—
1110C22⋊Q8—114no—
1111C22⋊Q8—114no—
1112C22⋊Q8—114no—
1113C22⋊Q8—114no—
1114C22⋊Q8—114no—
1115C22⋊Q8—114no—
1116C22⋊Q8—118no—
1117C22⋊Q8—118no—
1118C22⋊Q8—118no—
1119C22⋊Q8—118no—
1120C22⋊Q8—118no—
1121C22⋊Q8—118no—
1122C22⋊Q8—118no—
1123C22⋊Q8—118no—
1124C22⋊Q8—118no—
1125C22⋊Q8—118no—
1126C22⋊Q8—118no—
1127C22⋊Q8—118no—
1128C22⋊Q8—118no—
1129C22⋊Q8—118no—
1130C22⋊Q8—118no—
1131C22⋊Q8—118no—
1132C22⋊Q8—118no—
1133C22⋊Q8—118no—
1134C22⋊Q8—118no—
1135C22⋊Q8C22×D1112yes—
1136C22⋊Q8C22×D1112yes—
1137C22⋊Q8C22×D1112yes—
1138C22⋊Q8C22×D1112yes—
1139C22⋊Q8C22×D1112yes—
1140C22⋊Q8C22×D1112yes—
1141#121—114no—
1142#121—114no—
1143#121—118no—
1144#121—118no—
1145#121—118no—
1146#121—118no—
1147#121—118no—
1148#121—112no—
1149#121—112no—
1150#121—112no—
1151#121—112no—
1152#121—114no—
1153#121—118no—
1154#121C22×D1112yes—
1155#121C22×D1112yes—
1156#121C22×D1112yes—
1157#121C22×D1112yes—
1158#121C22×D1112yes—
1159#121C22×D1112yes—
1160#120—118no—
1161#120C22×D1114yes—
1162C4×Q8—114no—
1163C4×Q8—114no—
1164C4×Q8—118no—
1165C4×Q8—112no—
1166C4×Q8—114no—
1167C4×Q8—118no—
1168C4×Q8—114no—
1169C4×Q8—114no—
1170C4×Q8—112no—
1171C4×Q8—114no—
1172C4×Q8—112no—
1173C4×Q8—112no—
1174C4×Q8—114no—
1175C4×Q8—114no—
1176C4×Q8—114no—
1177C4×Q8—114no—
1178C4×Q8—114no—
1179C4×Q8—114no—
1180C4×Q8—118no—
1181C4×Q8—118no—
1182C4×Q8—114no—
1183C4×Q8C22×D1112yes—
1184C4×Q8C22×D1112yes—
1185C4×Q8C22×D1112yes—
1186C4×Q8C22×D1112yes—
1187C4×Q8C22×D1112yes—
1188C4×Q8C22×D1112yes—
1189C4×D4—118no—
1190C4×D4—118no—
1191C4×D4—118no—
1192C4×D4—114no—
1193C4×D4—114no—
1194C4×D4—114no—
1195C4×D4—114no—
1196C4×D4—114no—
1197C4×D4—114no—
1198C4×D4—118no—
1199C4×D4—118no—
1200C4×D4—118no—
1201C4×D4—118no—
1202C4×D4—118no—
1203C4×D4—112no—
1204C4×D4—112no—
1205C4×D4—112no—
1206C4×D4—112no—
1207C4×D4—114no—
1208C4×D4C22×D1114yes—
1209C4×D4C22×D1114yes—
1210C4×D4C22×D1114yes—
1211C4×D4C22×D1112yes—
1212C4×D4C22×D1112yes—
1213C4×D4C22×D1114yes—
1214C4×D4C22×D1114yes—
1215C4×D4C22×D1114yes—
1216C4×D4C22×D1112yes—
1217C4×D4C22×D1112yes—
1218C4×D4C22×D1112yes—
1219C4×D4C22×D1112yes—
1220#117—114no—
1221#117—114no—
1222#117—114no—
1223#117—114no—
1224#117—118no—
1225#117—114no—
1226#117—114no—
1227#117—114no—
1228#117—118no—
1229#117—118no—
1230#117—118no—
1231#117—118no—
1232#117—118no—
1233#117—114no—
1234#117—114no—
1235#117—114no—
1236#117—114no—
1237#117—118no—
1238#117C22×D1112yes—
1239#117C22×D1114yes—
1240#117C22×D1112yes—
1241#117C22×D1112yes—
1242#117C22×D1114yes—
1243#117C22×D1114yes—
1244C2×C4⋊C4—112no—
1245C2×C4⋊C4—112no—
1246C2×C4⋊C4—112no—
1247C2×C4⋊C4—112no—
1248C2×C4⋊C4—111no—
1249C2×C4⋊C4—112no—
1250C2×C4⋊C4—111no—
1251C2×C4⋊C4—114no—
1252C2×C4⋊C4—114no—
1253C2×C4⋊C4—112no—
1254C2×C4⋊C4—112no—
1255C2×C4⋊C4—112no—
1256C2×C4⋊C4—114no—
1257C2×C4⋊C4—118no—
1258C2×C4⋊C4—114no—
1259C2×C4⋊C4—114no—
1260C2×C22⋊C4—114no—
1261C2×C22⋊C4—112no—
1262C2×C22⋊C4—112no—
1263C2×C22⋊C4—112no—
1264C2×C22⋊C4—112no—
1265C2×C22⋊C4—112no—
1266C2×C22⋊C4—118no—
1267C2×C42—112no—
1268C2×C42—114no—
1269C2×C42—118no—
1270C2×C42—118no—
1271C2×C42C22×D1111yescharacteristic
1272C2×C42C22×D1111yescharacteristic
1273C2×C42C22×D1111yescharacteristic
1274C2×C42C22×D1111yescharacteristic
1275C2×C42C22×D1114yes—
1276C2×C42C22×D1111yescharacteristic
1277C2×C42C22×D1111yescharacteristic
1278C2×C42C22×D1111yescharacteristic
1279C2×C42C22×D1111yescharacteristic
1280C2×C42C22×D1111yescharacteristic
1281C2×C42C22×D1111yescharacteristic
1282C2×C42C22×D1111yescharacteristic
1283C2×C42C22×D1111yescharacteristic
1284C2×C11—22no—
1285C2×C11—22no—
1286C2×C11—44no—
1287C2×C11—41no—
1288C2×C11C22×2−1+411yescharacteristic
1289C2×C11C2×#58511yescharacteristic
1290C2×C11C2×#58511yescharacteristic
1291D11—44no—
1292C24—112no—
1293C24C23×D1111yescharacteristic
1294#41—28no—
1295#41—44no—
1296#41—44no—
1297#41—448no—
1298#41—4416no—
1299C2×Q8—112no—
1300C2×Q8—114no—
1301C2×Q8—112no—
1302C2×Q8—118no—
1303C2×Q8—114no—
1304C2×Q8—114no—
1305C2×Q8—114no—
1306C2×Q8—118no—
1307C2×Q8—444no—
1308C2×Q8—442no—
1309C2×Q8—444no—
1310C2×Q8—448no—
1311C2×Q8C23×D1112yes—
1312C2×Q8C23×D1112yes—
1313C2×Q8C23×D1112yes—
1314C2×D4—114no—
1315C2×D4—118no—
1316C2×D4—118no—
1317C2×D4—114no—
1318C2×D4—112no—
1319C2×D4—112no—
1320C2×D4—442no—
1321C2×D4—444no—
1322C2×D4C23×D1114yes—
1323C2×D4C23×D1112yes—
1324C2×D4C23×D1114yes—
1325C2×D4C23×D1114yes—
1326C2×D4C23×D1112yes—
1327C2×D4C23×D1112yes—
1328C22×C4—24no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—114no—
1332C22×C4—112no—
1333C22×C4—112no—
1334C22×C4—114no—
1335C22×C4—112no—
1336C22×C4—118no—
1337C22×C4—118no—
1338C22×C4—114no—
1339C22×C4—114no—
1340C22×C4—118no—
1341C22×C4—118no—
1342C22×C4—228no—
1343C22×C4C23×D1111yescharacteristic
1344C22×C4C23×D1111yescharacteristic
1345C22×C4C23×D1111yescharacteristic
1346C22×C4C23×D1111yescharacteristic
1347C22×C4C23×D1111yescharacteristic
1348C22×C4C23×D1111yescharacteristic
1349C22×C4C23×D1111yescharacteristic
1350C22×C4C23×D1111yescharacteristic
1351C22×C4C23×D1114yes—
1352C22×C4C23×D1111yescharacteristic
1353C22×C4C23×D1114yes—
1354C22×C4C23×D1111yescharacteristic
1355C22×C4C23×D1111yescharacteristic
1356C22×C4C23×D1111yescharacteristic
1357C22×C4C23×D1111yescharacteristic
1358C22×C4C23×D1111yescharacteristic
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1114yes—
1363C22×C4C23×D1111yescharacteristic
1364C4⋊C4—112no—
1365C4⋊C4—114no—
1366C4⋊C4—114no—
1367C4⋊C4—114no—
1368C4⋊C4—114no—
1369C4⋊C4—118no—
1370C4⋊C4—112no—
1371C4⋊C4—114no—
1372C4⋊C4—114no—
1373C4⋊C4—114no—
1374C4⋊C4—118no—
1375C4⋊C4—118no—
1376C4⋊C4—114no—
1377C4⋊C4—114no—
1378C4⋊C4—114no—
1379C4⋊C4—114no—
1380C4⋊C4—114no—
1381C4⋊C4—112no—
1382C4⋊C4—112no—
1383C4⋊C4—118no—
1384C4⋊C4—118no—
1385C4⋊C4—118no—
1386C4⋊C4—118no—
1387C4⋊C4—118no—
1388C4⋊C4—118no—
1389C4⋊C4—114no—
1390C4⋊C4—114no—
1391C4⋊C4—114no—
1392C4⋊C4—114no—
1393C4⋊C4—118no—
1394C4⋊C4—118no—
1395C4⋊C4—118no—
1396C4⋊C4—118no—
1397C4⋊C4—118no—
1398C4⋊C4—118no—
1399C4⋊C4—118no—
1400C4⋊C4C23×D1112yes—
1401C4⋊C4C23×D1112yes—
1402C4⋊C4C23×D1114yes—
1403C4⋊C4C23×D1112yes—
1404C4⋊C4C23×D1112yes—
1405C4⋊C4C23×D1112yes—
1406C4⋊C4C23×D1112yes—
1407C4⋊C4C23×D1114yes—
1408C4⋊C4C23×D1114yes—
1409C4⋊C4C23×D1114yes—
1410C4⋊C4C23×D1114yes—
1411C4⋊C4C23×D1114yes—
1412C22⋊C4—118no—
1413C22⋊C4—114no—
1414C22⋊C4—118no—
1415C22⋊C4—114no—
1416C22⋊C4—118no—
1417C22⋊C4—118no—
1418C22⋊C4—118no—
1419C22⋊C4—118no—
1420C22⋊C4—114no—
1421C22⋊C4—114no—
1422C22⋊C4—114no—
1423C22⋊C4—114no—
1424C22⋊C4—118no—
1425C22⋊C4—118no—
1426C22⋊C4—114no—
1427C22⋊C4—114no—
1428C22⋊C4—114no—
1429C22⋊C4—114no—
1430C22⋊C4—118no—
1431C22⋊C4—118no—
1432C22⋊C4C23×D1114yes—
1433C22⋊C4C23×D1114yes—
1434C22⋊C4C23×D1114yes—
1435C22⋊C4C23×D1114yes—
1436C22⋊C4C23×D1114yes—
1437C22⋊C4C23×D1114yes—
1438C22⋊C4C23×D1114yes—
1439C22⋊C4C23×D1114yes—
1440C22⋊C4C23×D1114yes—
1441C42—118no—
1442C42—118no—
1443C42—114no—
1444C42—118no—
1445C42—118no—
1446C42—118no—
1447C42—114no—
1448C42—118no—
1449C42C23×D1111yescharacteristic
1450C42C23×D1111yescharacteristic
1451C42C23×D1111yescharacteristic
1452C42C23×D1111yescharacteristic
1453C42C23×D1111yescharacteristic
1454C42C23×D1111yescharacteristic
1455C42C23×D1111yescharacteristic
1456C42C23×D1111yescharacteristic
1457C42C23×D1111yescharacteristic
1458C42C23×D1111yescharacteristic
1459C42C23×D1111yescharacteristic
1460C42C23×D1111yescharacteristic
1461C42C23×D1114yes—
1462C42C23×D1114yes—
1463C42C23×D1114yes—
1464C42C23×D1111yescharacteristic
1465C42C23×D1111yescharacteristic
1466C42C23×D1111yescharacteristic
1467C42C23×D1111yescharacteristic
1468C11#6275211yescharacteristic, complemented, Sylow
1469C23—22no—
1470C23—22no—
1471C23—41no—
1472C23—114no—
1473C23—224no—
1474C23—442no—
1475C23—442no—
1476C23C24×D1111yescharacteristic
1477C23C24×D1114yes—
1478C23C24×D1111yescharacteristic
1479C23C24×D1111yescharacteristic
1480Q8—24no—
1481Q8—42no—
1482Q8—42no—
1483Q8—224no—
1484Q8—228no—
1485Q8—442no—
1486Q8—444no—
1487Q8—444no—
1488Q8—444no—
1489Q8—448no—
1490Q8—448no—
1491D4—28no—
1492D4—28no—
1493D4—24no—
1494D4—42no—
1495D4—42no—
1496D4—44no—
1497D4—228no—
1498D4—224no—
1499D4—442no—
1500D4—444no—
1501D4—448no—
1502D4—448no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—28no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—28no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—44no—
1523C2×C4—114no—
1524C2×C4—114no—
1525C2×C4—118no—
1526C2×C4—118no—
1527C2×C4—114no—
1528C2×C4—224no—
1529C2×C4—228no—
1530C2×C4—228no—
1531C2×C4—228no—
1532C2×C4—448no—
1533C2×C4—448no—
1534C2×C4—442no—
1535C2×C4—444no—
1536C2×C4—448no—
1537C2×C4—442no—
1538C2×C4—448no—
1539C2×C4#6704314yes—
1540C2×C4C24×D1111yescharacteristic
1541C2×C4C24×D1114yes—
1542C2×C4C24×D1114yes—
1543C2×C4C24×D1114yes—
1544C2×C4C24×D1111yescharacteristic
1545C2×C4C24×D1111yescharacteristic
1546C2×C4C24×D1111yescharacteristic
1547C2×C4C24×D1111yescharacteristic
1548C2×C4C24×D1111yescharacteristic
1549C2×C4C24×D1111yescharacteristic
1550C2×C4C24×D1111yescharacteristic
1551C2×C4C24×D1111yescharacteristic
1552C2×C4C24×D1111yescharacteristic
1553C2×C4C24×D1111yescharacteristic
1554C2×C4C24×D1111yescharacteristic
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—24no—
1561C22—21no—
1562C22—24no—
1563C22—21no—
1564C22—24no—
1565C22—44no—
1566C22—224no—
1567C22—224no—
1568C22—224no—
1569C22—884no—
1570C22C2×#6704312yes—
1571C22#1062345312yes—
1572C22C25×D1111yescharacteristic
1573C4—21no—
1574C4—21no—
1575C4—24no—
1576C4—21no—
1577C4—21no—
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—24no—
1584C4—24no—
1585C4—224no—
1586C4—228no—
1587C4—224no—
1588C4—228no—
1589C4—224no—
1590C4C2×#6704312yes—
1591C4C2×#6704312yes—
1592C4#1062345312yes—
1593C2—22no—
1594C2—22no—
1595C2—41no—
1596C2—44no—
1597C2—444no—
1598C2C22×#6704311yescharacteristic
1599C2C2×#1062345311yescharacteristic
1600C2C2×#1062345311yescharacteristic
subgroupG/H
centerC2×C4C24×D11
commutator, socle, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC11×#3444C2
hypercenter#3444D11
hypocenterC11#62752
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #13083253C2semidirect
2. #13083234C2semidirect
3. #13083226C2semidirect
4. #13083219C2semidirect
5. #13083186C2semidirect
6. #13083154C2semidirect
7. #13083104C2semidirect
8. #13083061C2semidirect
9. #13083005C2semidirect
10. #13082956C2semidirect
11. #13082865C2semidirect
12. #13082843C2semidirect
13. #13082819C2semidirect
14. #13082761C2semidirect
15. #13082231C2semidirect
16. #41×Dic22C2semidirect
17. #13082180C2semidirect
18. #13082176C2semidirect
19. #13082045C2semidirect
20. #13082043C2semidirect
21. #13082019C2semidirect
22. #13082005C2semidirect
23. C2×#10623001C2semidirect
24. C2×#10623010C2semidirect
25. C11×#3444C2semidirect
27. C11×#533C22semidirect
28. C11×#533C22semidirect
30. C11×#532C22semidirect
31. C11×#532C22semidirect
34. C11×#529C22semidirect
35. C11×#529C22semidirect
36. C11×#529C22semidirect
37. C11×#529C22semidirect
42. C4×C11×#41C22semidirect
43. C4×C11×#41C22semidirect
48. #10623356C22semidirect
49. #10623355C22semidirect
57. #10623262C22semidirect
58. #10623260C22semidirect
59. #10623260C22semidirect
60. #10623250C22semidirect
61. #10623243C22semidirect
62. #10623243C22semidirect
63. #10623241C22semidirect
64. #10623232C22semidirect
65. #10623230C22semidirect
66. #10623227C22semidirect
67. #10623220C22semidirect
68. #10623220C22semidirect
69. C11⋊#564C22semidirect
70. #10623215C22semidirect
71. #10623213C22semidirect
72. #10623213C22semidirect
73. #10623203C22semidirect
74. #10623200C22semidirect
76. #10623196C22semidirect
78. #10623182C22semidirect
80. #10623179C22semidirect
81. #10623177C22semidirect
83. #10623173C22semidirect
84. #10623172C22semidirect
85. #10623170C22semidirect
86. #10623166C22semidirect
91. #10623154C22semidirect
92. #10623152C22semidirect
93. #10623149C22semidirect
96. #10623147C22semidirect
97. #10623145C22semidirect
98. #10623142C22semidirect
101. #10623133C22semidirect
105. #10623115C22semidirect
106. #10623115C22semidirect
107. #10623114C22semidirect
108. #10623112C22semidirect
109. #10623110C22semidirect
110. #10623109C22semidirect
111. #10623109C22semidirect
112. #10623101C22semidirect
113. #10623100C22semidirect
114. #10623098C22semidirect
115. Q8×Dic22C22semidirect
116. #10623095C22semidirect
117. #10623095C22semidirect
118. #10623094C22semidirect
119. #10623092C22semidirect
120. #10623089C22semidirect
121. #10623088C22semidirect
125. #10623083C22semidirect
126. #10623082C22semidirect
129. #10623074C22semidirect
131. #10623072C22semidirect
132. #10623072C22semidirect
134. #10623070C22semidirect
135. #10623069C22semidirect
136. #10623069C22semidirect
137. #10623069C22semidirect
138. #10623069C22semidirect
140. D4×Dic22C22semidirect
141. D4×Dic22C22semidirect
142. C4×#4341C22semidirect
144. #10623065C22semidirect
145. #10623064C22semidirect
146. #10623062C22semidirect
147. #10623062C22semidirect
148. #10623059C22semidirect
149. #10623057C22semidirect
151. #10623050C22semidirect
152. #10623049C22semidirect
153. #10623049C22semidirect
155. #10623048C22semidirect
164. #10623010C22semidirect
167. C4×#4339C22semidirect
174. #10623001C22semidirect
175. #10623001C22semidirect
176. #10623001C22semidirect
177. #10623001C22semidirect
178. #10623001C22semidirect
180. C2×#66923C22semidirect
181. C2×#66922C22semidirect
182. C2×#66922C22semidirect
184. C2×C4×Dic22C22semidirect
185. C2×C4×Dic22C22semidirect
186. C2×C4×Dic22C22semidirect
691. #3444D11semidirect
884. #533C2×D11semidirect
885. #533C2×D11semidirect
887. #532C2×D11semidirect
888. #532C2×D11semidirect
908. #529C2×D11semidirect
909. #529C2×D11semidirect
910. #529C2×D11semidirect
911. #529C2×D11semidirect
929. C4×#41C2×D11semidirect
930. C4×#41C2×D11semidirect
1468. C11#62752semidirect

Maximal subgroups

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

subgroupindex
#130832532
#130832342
#130832262
#130832192
#130831862
#130831542
#130831042
#130830612
#130830052
#130829562
#130828652
#130828432
#130828192
#130827612
#130822312
#41×Dic222
#130821802
#130821762
#130820452
#130820432
#130820192
#130820052
C2×#106230012
C2×#106230102
C11×#34442
#6275211