Finite Group Databasebeta

← #15661329

Subgroups — #15661329

Order 2816.

6634 conjugacy classes of subgroups.

The subgroup lattice has 2346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083310C212yesmaximal, complemented
2#13083303C212yesmaximal, complemented
3#13083271C214yesmaximal, complemented
4#13083267C212yesmaximal, complemented
5#13083242C212yesmaximal, complemented
6#13083219C211yesmaximal, characteristic, complemented
7#13083200C212yesmaximal, complemented
8#13083188C211yesmaximal, characteristic, complemented
9#13083158C212yesmaximal, complemented
10#13083154C211yesmaximal, characteristic, complemented
11#13083113C212yesmaximal, complemented
12#13083036C212yesmaximal, complemented
13#13082937C212yesmaximal, complemented
14#13082895C212yesmaximal, complemented
15#13082775C214yesmaximal, complemented
16#13082760C212yesmaximal, complemented
17#13082756C212yesmaximal, complemented
18#13082232C212yesmaximal, complemented
19#13082217C212yesmaximal, complemented
20#13082212C212yesmaximal, complemented
21#13082167C212yesmaximal, complemented
22#13082167C214yesmaximal, complemented
23#13082042C212yesmaximal, complemented
24#13082035C212yesmaximal, complemented
25#13082029C212yesmaximal, complemented
26#13082022C212yesmaximal, complemented
27#13081998C214yesmaximal, complemented
28#13081911C211yesmaximal, characteristic, complemented
29#13081910C211yesmaximal, characteristic, complemented
30C2×#10623211C211yesmaximal, characteristic, complemented
31C11×#3558C211yesmaximal, characteristic, complemented
32C11×#562C2212yescomplemented
33C11×H(3,𝔽4)C2212yescomplemented
34C11×#559C2212yescomplemented
35C11×#548C2212yes—
36C11×#546C2214yes—
37C11×#546C2212yescomplemented
38D42×C11C2212yes—
39C11×#542C2212yescomplemented
40C11×#538C2212yes—
41C11×#538C2214yescomplemented
42C11×#535C2212yescomplemented
43C11×#534C2212yes—
44C11×#532C2211yescharacteristic
45C11×#529C2211yescharacteristic
46C2×C11×#124C2211yescharacteristic
47#10623364C2212yescomplemented
48#10623362C2212yescomplemented
49#10623359C2212yescomplemented
50#41×Dic11C2212yescomplemented
51#41×Dic11C2212yescomplemented
52#10623355C2212yescomplemented
53#10623355C2214yescomplemented
54Q8×C22⋊D11C2212yescomplemented
55C2×#66999C2211yescharacteristic, complemented
56C2×Q8×Dic11C2211yescharacteristic, complemented
57#10623337C2212yes—
58#10623337C2214yescomplemented
59#10623337C2214yescomplemented
60#10623337C2212yescomplemented
61#10623337C2212yescomplemented
62#10623336C2212yescomplemented
63#10623335C2214yescomplemented
64C2×#66991C2211yescharacteristic
65C2×D4×Dic11C2211yescharacteristic
66C2×D4×Dic11C2214yescomplemented
67C2×D4×Dic11C2212yescomplemented
68#10623260C2212yescomplemented
69#10623259C2211yescharacteristic, complemented
70#10623259C2211yescharacteristic, complemented
71#10623250C2212yes—
72#10623250C2212yescomplemented
73#10623249C2212yes—
74#10623247C2211yescharacteristic, complemented
75#10623247C2211yescharacteristic, complemented
76#10623247C2212yescomplemented
77#10623244C2212yescomplemented
78#10623241C2214yescomplemented
79#10623237C2212yescomplemented
80#10623237C2212yescomplemented
81#10623237C2214yescomplemented
82#10623232C2214yescomplemented
83#10623232C2214yescomplemented
84#10623232C2214yescomplemented
85#10623222C2211yescharacteristic, complemented
86#10623219C2211yescharacteristic, complemented
87C11⋊#564C2212yescomplemented
88#10623215C2214yescomplemented
89#10623215C2212yescomplemented
90#10623215C2212yescomplemented
91#10623215C2214yescomplemented
92#10623213C2212yescomplemented
93#10623213C2212yescomplemented
94#10623211C2212yescomplemented
95#10623211C2212yescomplemented
96#10623211C2212yescomplemented
97#10623211C2212yescomplemented
98#10623211C2212yescomplemented
99#10623211C2212yescomplemented
100#10623211C2212yescomplemented
101#10623211C2212yescomplemented
102#10623211C2211yescharacteristic, complemented
103#10623211C2212yescomplemented
104#10623211C2212yescomplemented
105#10623211C2214yescomplemented
106#10623211C2212yescomplemented
107#10623211C2214yescomplemented
108#10623208C2212yescomplemented
109#10623208C2212yescomplemented
110#10623206C2212yescomplemented
111#10623203C2212yescomplemented
112#10623203C2212yescomplemented
113#10623203C2212yescomplemented
114#10623203C2214yescomplemented
115#10623202C2212yescomplemented
116#10623202C2214yescomplemented
117#10623202C2212yescomplemented
118#10623202C2214yescomplemented
119#10623202C2214yescomplemented
120#10623200C2214yescomplemented
121#10623200C2214yescomplemented
122#10623200C2214yescomplemented
123#10623200C2214yescomplemented
124#10623199C2211yescharacteristic, complemented
125#10623199C2214yescomplemented
126#10623196C2214yescomplemented
127#10623196C2214yescomplemented
128#10623194C2214yescomplemented
129#10623193C2214yescomplemented
130#10623193C2214yescomplemented
131#10623192C2214yescomplemented
132#10623192C2214yescomplemented
133#10623191C2214yescomplemented
134#10623187C2212yescomplemented
135#10623182C2214yescomplemented
136#10623182C2214yescomplemented
137#10623181C2214yescomplemented
138#10623181C2214yescomplemented
139#10623181C2214yescomplemented
140#10623180C2212yescomplemented
141#10623180C2214yescomplemented
142#10623180C2214yescomplemented
143#10623180C2214yescomplemented
144#10623180C2214yescomplemented
145#10623177C2214yescomplemented
146#10623177C2214yescomplemented
147#10623176C2214yescomplemented
148#10623173C2212yescomplemented
149#10623173C2214yescomplemented
150#10623170C2212yescomplemented
151#10623170C2214yescomplemented
152#10623169C2214yescomplemented
153#10623159C2212yescomplemented
154#10623158C2211yescharacteristic, complemented
155#10623154C2212yescomplemented
156#10623153C2211yescharacteristic, complemented
157#10623153C2212yescomplemented
158#10623153C2214yescomplemented
159#10623153C2214yescomplemented
160#10623152C2214yescomplemented
161#10623152C2214yescomplemented
162#10623150C2214yescomplemented
163#10623149C2212yescomplemented
164#10623149C2212yescomplemented
165#10623149C2214yescomplemented
166#10623148C2214yescomplemented
167#10623147C2212yes—
168#10623147C2214yescomplemented
169#10623146C2214yescomplemented
170#10623146C2214yescomplemented
171#10623146C2214yescomplemented
172#10623142C2212yescomplemented
173#10623142C2214yescomplemented
174#10623139C2212yes—
175#10623137C2211yescharacteristic
176#10623137C2212yescomplemented
177#10623137C2212yescomplemented
178#10623134C2214yescomplemented
179#10623133C2212yes—
180#10623133C2212yescomplemented
181#10623133C2214yescomplemented
182#10623132C2214yescomplemented
183#10623132C2214yescomplemented
184#10623132C2214yescomplemented
185#10623131C2212yescomplemented
186#10623131C2212yescomplemented
187#10623131C2214yescomplemented
188#10623131C2212yescomplemented
189#10623131C2214yescomplemented
190#10623131C2214yescomplemented
191#10623131C2214yescomplemented
192#10623128C2212yescomplemented
193#10623127C2211yescharacteristic
194#10623127C2214yescomplemented
195#10623126C2214yescomplemented
196#10623126C2214yescomplemented
197#10623126C2214yescomplemented
198#10623124C2214yescomplemented
199#10623124C2214yescomplemented
200#10623124C2214yescomplemented
201#10623124C2214yescomplemented
202#10623124C2214yescomplemented
203#10623124C2214yescomplemented
204#10623123C2214yescomplemented
205#10623118C2214yescomplemented
206#10623118C2214yescomplemented
207#10623118C2214yescomplemented
208#10623118C2214yescomplemented
209#10623118C2214yescomplemented
210#10623117C2214yescomplemented
211#10623117C2214yescomplemented
212#10623117C2214yescomplemented
213#10623117C2214yescomplemented
214#10623117C2214yescomplemented
215#10623115C2212yescomplemented
216#10623114C2212yescomplemented
217#10623109C2211yescharacteristic, complemented
218C4×#4343C2211yescharacteristic, complemented
219C4×Q8×D11C2212yescomplemented
220#10623100C2212yescomplemented
221#10623098C2212yescomplemented
222#10623095C2214yescomplemented
223#10623095C2214yescomplemented
224#10623092C2212yescomplemented
225#10623091C2214yescomplemented
226#10623090C2214yescomplemented
227#10623089C2212yescomplemented
228#10623089C2212yescomplemented
229#10623088C2212yescomplemented
230#10623088C2212yescomplemented
231#10623079C2211yescharacteristic, complemented
232#10623078C2212yescomplemented
233#10623074C2212yescomplemented
234#10623074C2212yescomplemented
235#10623072C2212yescomplemented
236#10623072C2214yescomplemented
237#10623072C2212yescomplemented
238#10623072C2214yescomplemented
239#10623070C2214yescomplemented
240#10623070C2212yescomplemented
241C4×#4341C2211yescharacteristic, complemented
242C4×#4341C2212yescomplemented
243C4×#4341C2212yescomplemented
244C4×#4341C2212yescomplemented
245C4×#4341C2214yescomplemented
246C4×#4341C2214yescomplemented
247C4×#4341C2212yescomplemented
248#10623059C2212yescomplemented
249#10623053C2212yescomplemented
250#10623050C2212yescomplemented
251#10623049C2212yescomplemented
252#10623026C2214yescomplemented
253#10623026C2214yescomplemented
254#10623026C2214yescomplemented
255#10623025C2212yescomplemented
256#10623025C2214yescomplemented
257C2×#66936C2212yescomplemented
258C2×(C22⋊D11)⋊C4C2212yescomplemented
259#10623014C2212yescomplemented
260C2×#66932C2212yescomplemented
261C2×#66930C2212yescomplemented
262C2×#66930C2214yescomplemented
263#10623010C2211yescharacteristic, complemented
264C2×C42×D11C2211yescharacteristic, complemented
265#10623001C2211yescharacteristic, complemented
266C2×#66923C2211yescharacteristic, complemented
267C2×C11×#41C2312yes—
268C2×C11×#41C2312yes—
269C22×Q8×C11C2311yescharacteristic
270C22×D4×C11C2311yescharacteristic
271C22×D4×C11C2314yes—
272C22×D4×C11C2312yes—
273C22×C22⋊D11C2312yes—
274C23×Dic11C2312yes—
275C23×Dic11C2314yes—
276C2×#4343C2311yescharacteristic
277C2×Q8×D11C2312yes—
278C2×#4341C2312yes—
279C2×#4341C2314yes—
280C2×#4341C2312yes—
281C2×#4341C2312yes—
282C2×#4341C2312yes—
283C2×#4341C2314yes—
284C2×#4341C2311yescharacteristic
285C2×#4339C2312yes—
286C22×C4×D11C2311yescharacteristic
287C22×C4×D11C2311yescharacteristic
288C22×C4×D11C2311yescharacteristic
289C11×C4⋊Q8C2311yescharacteristic
290C11×#127C2312yes—
291C11×#127C2311yescharacteristic
292C11×#126C2312yes—
293C11×#126C2314yes—
294C11×#125C2311yescharacteristic
295C11×#124C2312yes—
296C11×#124C2312yes—
297C11×#124C2312yes—
298C11×#124C2312yes—
299C11×#124C2311yescharacteristic
300C11×#124C2312yes—
301C11×#124C2312yes—
302C11×#124C2314yes—
303C11×#124C2314yes—
304C11×#124C2314yes—
305C11×#123C2312yes—
306C11×#123C2314yes—
307C11×#123C2314yes—
308C11×#123C2314yes—
309C11×#123C2314yes—
310C11×C22⋊Q8C2311yescharacteristic
311C11×C22⋊Q8C2314yes—
312C11×C22⋊Q8C2314yes—
313C11×C22⋊Q8C2312yes—
314C11×#121C2311yescharacteristic
315C11×#121C2314yes—
316C11×#121C2312yes—
317C11×#121C2314yes—
318C11×#121C2314yes—
319C11×#121C2314yes—
320C11×#121C2312yes—
321C11×#121C2312yes—
322C11×#121C2314yes—
323C11×#120C2314yes—
324C11×#120C2314yes—
325C11×#120C2314yes—
326C11×#120C2314yes—
327C11×#120C2314yes—
328C4×Q8×C11C2311yescharacteristic
329C4×Q8×C11C2312yes—
330C4×D4×C11C2314yes—
331C4×D4×C11C2312yes—
332C4×D4×C11C2311yescharacteristic
333C4×D4×C11C2312yes—
334C4×D4×C11C2314yes—
335C4×D4×C11C2312yes—
336C4×D4×C11C2312yes—
337C11×#117C2312yes—
338C2×C11×C22⋊C4C2312yes—
339C2×C11×C22⋊C4C2314yes—
340C2×C11×C22⋊C4C2312yes—
341C2×C42×C11C2311yescharacteristic
342#67006C2314yes—
343#67006C2314yes—
344#67006C2314yes—
345#67006C2314yes—
346#67006C2314yes—
347C2×C22⋊Dic11C2312yes—
348C2×C22⋊Dic11C2314yes—
349C2×C22⋊Dic11C2312yes—
350C2×C22⋊Dic11C2314yes—
351C2×C22⋊Dic11C2314yes—
352C2×C22⋊Dic11C2314yes—
353#66999C2312yes—
354#66999C2312yes—
355#66999C2314yes—
356#66999C2312yes—
357#66999C2312yes—
358#66999C2312yes—
359#66999C2312yes—
360#66999C2312yes—
361#66999C2314yes—
362#66999C2311yescharacteristic
363Q8×Dic11C2312yes—
364Q8×Dic11C2312yes—
365Q8×Dic11C2312yes—
366Q8×Dic11C2312yes—
367Q8×Dic11C2312yes—
368Q8×Dic11C2312yes—
369Q8×Dic11C2312yes—
370Q8×Dic11C2311yescharacteristic
371#66997C2314yes—
372#66997C2312yes—
373#66997C2314yes—
374#66997C2314yes—
375#66997C2311yescharacteristic
376#66993C2314yes—
377#66993C2311yescharacteristic
378#66993C2314yes—
379#66992C2314yes—
380#66992C2314yes—
381#66992C2314yes—
382#66992C2314yes—
383#66992C2314yes—
384#66992C2314yes—
385#66992C2312yes—
386#66992C2314yes—
387#66992C2314yes—
388#66992C2314yes—
389#66992C2314yes—
390#66992C2314yes—
391#66992C2314yes—
392#66992C2314yes—
393#66992C2314yes—
394#66992C2314yes—
395#66992C2314yes—
396#66991C2312yes—
397#66991C2312yes—
398#66991C2312yes—
399#66991C2314yes—
400#66991C2312yes—
401#66991C2312yes—
402#66991C2312yes—
403#66991C2312yes—
404#66991C2312yes—
405#66991C2312yes—
406#66991C2312yes—
407#66991C2312yes—
408#66991C2311yescharacteristic
409#66991C2314yes—
410#66991C2314yes—
411#66990C2312yes—
412#66990C2314yes—
413#66989C2312yes—
414#66989C2312yes—
415#66989C2314yes—
416#66989C2312yes—
417#66989C2314yes—
418#66989C2314yes—
419#66989C2314yes—
420#66989C2314yes—
421#66988C2314yes—
422#66988C2314yes—
423#66988C2314yes—
424#66988C2314yes—
425#66988C2314yes—
426#66988C2314yes—
427#66988C2314yes—
428#66988C2314yes—
429#66988C2314yes—
430#66988C2314yes—
431#66988C2314yes—
432#66988C2314yes—
433#66988C2314yes—
434#66988C2314yes—
435#66988C2314yes—
436D4×Dic11C2312yes—
437D4×Dic11C2312yes—
438D4×Dic11C2314yes—
439D4×Dic11C2312yes—
440D4×Dic11C2312yes—
441D4×Dic11C2312yes—
442D4×Dic11C2314yes—
443D4×Dic11C2312yes—
444D4×Dic11C2312yes—
445D4×Dic11C2314yes—
446D4×Dic11C2312yes—
447D4×Dic11C2312yes—
448D4×Dic11C2312yes—
449D4×Dic11C2314yes—
450D4×Dic11C2311yescharacteristic
451D4×Dic11C2314yes—
452D4×Dic11C2314yes—
453D4×Dic11C2312yes—
454D4×Dic11C2312yes—
455D4×Dic11C2314yes—
456D4×Dic11C2314yes—
457D4×Dic11C2314yes—
458D4×Dic11C2314yes—
459D4×Dic11C2314yes—
460D4×Dic11C2314yes—
461D4×Dic11C2314yes—
462#66983C2311yescharacteristic
463#66983C2314yes—
464#66982C2312yes—
465#66982C2314yes—
466#66982C2314yes—
467#66982C2314yes—
468#66982C2314yes—
469C4×C22⋊D11C2312yes—
470C4×C22⋊D11C2314yes—
471C4×C22⋊D11C2314yes—
472C4×C22⋊D11C2314yes—
473C4×C22⋊D11C2314yes—
474C4×C22⋊D11C2314yes—
475C4×C22⋊D11C2312yes—
476C4×C22⋊D11C2312yes—
477C4×C22⋊D11C2314yes—
478C4×C22⋊D11C2314yes—
479C2×(C2×D11)⋊C4C2312yes—
480#66979C2312yes—
481#66979C2314yes—
482#66979C2314yes—
483#66979C2312yes—
484C2×C4⋊Dic11C2311yescharacteristic
485C2×C4⋊Dic11C2311yescharacteristic
486C2×C4⋊Dic11C2312yes—
487C2×C4⋊Dic11C2312yes—
488C2×C4⋊Dic11C2314yes—
489#66977C2312yes—
490#66977C2312yes—
491#66977C2311yescharacteristic
492#66977C2314yes—
493#66977C2314yes—
494#66977C2314yes—
495#66977C2314yes—
496#66977C2312yes—
497#66977C2312yes—
498#66977C2314yes—
499#66977C2314yes—
500C2×Dic11⋊C4C2312yes—
501C2×Dic11⋊C4C2312yes—
502C2×Dic11⋊C4C2312yes—
503C2×Dic11⋊C4C2314yes—
504C2×Dic11⋊C4C2314yes—
505C2×C4×Dic11C2311yescharacteristic
506C2×C4×Dic11C2311yescharacteristic
507C2×C4×Dic11C2311yescharacteristic
508C2×C4×Dic11C2312yes—
509C2×C4×Dic11C2314yes—
510C2×C4×Dic11C2314yes—
511C2×C4×Dic11C2312yes—
512C2×C4×Dic11C2314yes—
513#66951C2314yes—
514#66951C2312yes—
515#66951C2314yes—
516#66951C2314yes—
517#66951C2314yes—
518#66950C2312yes—
519#66950C2312yes—
520#66950C2311yescharacteristic
521#66949C2314yes—
522#66949C2312yes—
523#66949C2312yes—
524#66949C2312yes—
525#66948C2311yescharacteristic
526#66947C2312yes—
527#66947C2312yes—
528#66947C2314yes—
529#66946C2312yes—
530#66946C2312yes—
531#66946C2312yes—
532#66946C2311yescharacteristic
533#66945C2312yes—
534#66945C2312yes—
535#66945C2312yes—
536#66945C2314yes—
537#66945C2312yes—
538#66945C2312yes—
539#66945C2311yescharacteristic
540#66945C2311yescharacteristic
541C4⋊C4×D11C2312yes—
542C4⋊C4×D11C2314yes—
543#66943C2312yes—
544#66943C2314yes—
545#66943C2314yes—
546#66943C2312yes—
547#66943C2312yes—
548#66943C2314yes—
549#66943C2314yes—
550#66942C2314yes—
551#66942C2312yes—
552#66942C2314yes—
553#66942C2314yes—
554#66942C2314yes—
555#66942C2314yes—
556#66942C2314yes—
557#66942C2312yes—
558#66942C2314yes—
559#66942C2314yes—
560#66942C2314yes—
561#66942C2314yes—
562#66941C2314yes—
563#66941C2314yes—
564#66941C2312yes—
565#66941C2311yescharacteristic
566#66941C2314yes—
567#66941C2311yescharacteristic
568#66940C2312yes—
569#66940C2312yes—
570#66940C2314yes—
571#66940C2312yes—
572#66940C2314yes—
573#66940C2312yes—
574#66940C2312yes—
575#66940C2311yescharacteristic
576#66940C2314yes—
577#66939C2314yes—
578#66939C2314yes—
579#66939C2314yes—
580#66939C2314yes—
581#66939C2314yes—
582#66938C2312yes—
583#66938C2312yes—
584#66938C2314yes—
585#66938C2314yes—
586#66938C2314yes—
587#66938C2314yes—
588#66938C2314yes—
589#66938C2314yes—
590#66938C2314yes—
591#66937C2312yes—
592#66937C2314yes—
593#66937C2312yes—
594#66937C2314yes—
595#66937C2314yes—
596#66937C2312yes—
597#66937C2314yes—
598#66937C2314yes—
599#66936C2314yes—
600#66936C2312yes—
601#66936C2312yes—
602#66936C2314yes—
603#66936C2314yes—
604#66936C2314yes—
605#66936C2314yes—
606#66936C2314yes—
607#66936C2314yes—
608#66936C2314yes—
609#66936C2314yes—
610#66936C2314yes—
611#66936C2314yes—
612#66936C2314yes—
613#66935C2312yes—
614(C22⋊D11)⋊C4C2314yes—
615(C22⋊D11)⋊C4C2312yes—
616(C22⋊D11)⋊C4C2312yes—
617(C22⋊D11)⋊C4C2312yes—
618(C22⋊D11)⋊C4C2314yes—
619(C22⋊D11)⋊C4C2312yes—
620(C22⋊D11)⋊C4C2314yes—
621(C22⋊D11)⋊C4C2314yes—
622(C22⋊D11)⋊C4C2314yes—
623(C22⋊D11)⋊C4C2314yes—
624(C22⋊D11)⋊C4C2312yes—
625(C22⋊D11)⋊C4C2312yes—
626(C22⋊D11)⋊C4C2312yes—
627(C22⋊D11)⋊C4C2314yes—
628(C22⋊D11)⋊C4C2314yes—
629(C22⋊D11)⋊C4C2314yes—
630(C22⋊D11)⋊C4C2314yes—
631#66932C2314yes—
632#66932C2314yes—
633#66932C2314yes—
634#66932C2314yes—
635#66932C2314yes—
636#66932C2314yes—
637#66932C2314yes—
638#66932C2314yes—
639#66932C2314yes—
640#66932C2314yes—
641#66932C2314yes—
642#66932C2314yes—
643#66932C2314yes—
644#66932C2314yes—
645#66932C2314yes—
646#66932C2314yes—
647#66932C2312yes—
648#66932C2314yes—
649#66932C2314yes—
650#66932C2314yes—
651#66932C2314yes—
652#66932C2314yes—
653#66932C2314yes—
654#66932C2314yes—
655#66932C2314yes—
656#66931C2314yes—
657#66931C2314yes—
658#66931C2314yes—
659#66931C2314yes—
660#66931C2314yes—
661#66931C2314yes—
662#66931C2314yes—
663#66931C2314yes—
664#66931C2314yes—
665#66931C2314yes—
666#66931C2314yes—
667#66931C2314yes—
668#66931C2312yes—
669#66931C2314yes—
670#66931C2314yes—
671#66931C2314yes—
672#66931C2314yes—
673#66931C2314yes—
674#66931C2314yes—
675#66931C2314yes—
676#66930C2314yes—
677#66930C2314yes—
678#66930C2314yes—
679#66930C2312yes—
680#66930C2314yes—
681#66930C2312yes—
682#66930C2314yes—
683#66930C2314yes—
684#66930C2314yes—
685#66930C2314yes—
686#66930C2314yes—
687#66930C2314yes—
688#66930C2314yes—
689#66930C2312yes—
690#66930C2314yes—
691#66930C2314yes—
692#66930C2314yes—
693#66930C2314yes—
694#66930C2314yes—
695#66929C2312yes—
696#66929C2314yes—
697#66928C2314yes—
698#66928C2311yescharacteristic
699C4×D44C2312yes—
700C4×D44C2311yescharacteristic
701#66925C2312yes—
702#66925C2312yes—
703C42×D11C2311yescharacteristic
704C42×D11C2311yescharacteristic
705C42×D11C2314yes—
706C42×D11C2311yescharacteristic
707C42×D11C2311yescharacteristic
708C42×D11C2312yes—
709C42×D11C2311yescharacteristic
710C42×D11C2311yescharacteristic
711C42×D11C2311yescharacteristic
712C42×D11C2311yescharacteristic
713#66923C2312yes—
714#66923C2314yes—
715#66923C2314yes—
716#66923C2312yes—
717#66923C2312yes—
718#66923C2312yes—
719#66923C2312yes—
720#66923C2312yes—
721#66923C2311yescharacteristic
722#66922C2311yescharacteristic
723#66922C2311yescharacteristic
724#66922C2312yes—
725C4×Dic22C2312yes—
726C4×Dic22C2314yes—
727C4×Dic22C2314yes—
728C4×Dic22C2314yes—
729C4×Dic22C2312yes—
730C4×Dic22C2312yes—
731C4×Dic22C2312yes—
732C4×Dic22C2312yes—
733C4×Dic22C2311yescharacteristic
734#62743—111nomaximal, Sylow
735C24×C11C2412yes—
736C24×C11C2414yes—
737C23×D11C2411yescharacteristic
738C11×#41—44no—
739C11×#41—44no—
740C2×Q8×C11—42no—
741C2×Q8×C11C2412yes—
742C2×Q8×C11C2411yescharacteristic
743C2×Q8×C11C2412yes—
744C2×Q8×C11C2412yes—
745C2×D4×C11—42no—
746C2×D4×C11—44no—
747C2×D4×C11—48no—
748C2×D4×C11C2414yes—
749C2×D4×C11C2412yes—
750C2×D4×C11C2412yes—
751C2×D4×C11C2412yes—
752C2×D4×C11C2414yes—
753C2×D4×C11C2412yes—
754C2×D4×C11C2412yes—
755C2×D4×C11C2414yes—
756C2×D4×C11C2414yes—
757C2×D4×C11C2414yes—
758C2×D4×C11C2411yescharacteristic
759C2×D4×C11C2414yes—
760C2×D4×C11C2412yes—
761C22×C4×C11C2411yescharacteristic
762C22×C4×C11C2411yescharacteristic
763C22×C4×C11C2412yes—
764C22×C4×C11C2411yescharacteristic
765C22×C4×C11C2412yes—
766C22×C4×C11C2414yes—
767C22×C4×C11C2414yes—
768C22×C4×C11C2414yes—
769C2×C22⋊D11—44no—
770C2×C22⋊D11C2412yes—
771C2×C22⋊D11C2414yes—
772C2×C22⋊D11C2414yes—
773C2×C22⋊D11C2412yes—
774C2×C22⋊D11C2412yes—
775C2×C22⋊D11C2412yes—
776C2×C22⋊D11C2414yes—
777C2×C22⋊D11C2414yes—
778C2×C22⋊D11C2412yes—
779C2×C22⋊D11C2414yes—
780C2×C22⋊D11C2414yes—
781C2×C22⋊D11C2414yes—
782C2×C22⋊D11C2414yes—
783C22×Dic11—44no—
784C22×Dic11—48no—
785C22×Dic11C2412yes—
786C22×Dic11C2414yes—
787C22×Dic11C2414yes—
788C22×Dic11C2411yescharacteristic
789C22×Dic11C2412yes—
790C22×Dic11C2411yescharacteristic
791C22×Dic11C2414yes—
792C22×Dic11C2414yes—
793C22×Dic11C2414yes—
794C22×Dic11C2414yes—
795C22×Dic11C2414yes—
796C22×Dic11C2412yes—
797C22×Dic11C2414yes—
798C22×Dic11C2414yes—
799C22×Dic11C2411yescharacteristic
800C22×Dic11C2412yes—
801#4343—42no—
802Q8×D11—44no—
803#4341—44no—
804#4341—44no—
805#4341—44no—
806#4341—48no—
807#4341—44no—
808#4341—42no—
809#4341—48no—
810#4339—44no—
811C2×D44C2412yes—
812C2×D44C2411yescharacteristic
813C2×D44C2412yes—
814C2×C4×D11—42no—
815C2×C4×D11—42no—
816C2×C4×D11—42no—
817C2×C4×D11C2412yes—
818C2×C4×D11C2411yescharacteristic
819C2×C4×D11C2411yescharacteristic
820C2×C4×D11C2411yescharacteristic
821C2×C4×D11C2411yescharacteristic
822C2×C4×D11C2412yes—
823C2×C4×D11C2411yescharacteristic
824C2×C4×D11C2411yescharacteristic
825C2×C4×D11C2411yescharacteristic
826C2×C4×D11C2411yescharacteristic
827C2×C4×D11C2411yescharacteristic
828C2×C4×D11C2411yescharacteristic
829C2×C4×D11C2411yescharacteristic
830C2×C4×D11C2411yescharacteristic
831C2×C4×D11C2414yes—
832C2×C4×D11C2412yes—
833C2×C4×D11C2414yes—
834C2×Dic22C2412yes—
835C2×Dic22C2414yes—
836C2×Dic22C2412yes—
837C2×Dic22C2411yescharacteristic
838C2×Dic22C2414yes—
839C2×Dic22C2414yes—
840C2×Dic22C2412yes—
841C2×Dic22C2412yes—
842C11×C4⋊C4C2412yes—
843C11×C4⋊C4C2412yes—
844C11×C4⋊C4C2411yescharacteristic
845C11×C4⋊C4C2414yes—
846C11×C4⋊C4C2414yes—
847C11×C4⋊C4C2412yes—
848C11×C4⋊C4C2412yes—
849C11×C4⋊C4C2412yes—
850C11×C4⋊C4C2412yes—
851C11×C4⋊C4C2411yescharacteristic
852C11×C22⋊C4C2412yes—
853C11×C22⋊C4C2412yes—
854C11×C22⋊C4C2414yes—
855C11×C22⋊C4C2414yes—
856C11×C22⋊C4C2414yes—
857C11×C22⋊C4C2414yes—
858C11×C22⋊C4C2412yes—
859C11×C22⋊C4C2414yes—
860C11×C22⋊C4C2414yes—
861C11×C22⋊C4C2414yes—
862C11×C22⋊C4C2414yes—
863C11×C22⋊C4C2414yes—
864C11×C22⋊C4C2414yes—
865C11×C22⋊C4C2412yes—
866C11×C22⋊C4C2414yes—
867C11×C22⋊C4C2412yes—
868C42×C11C2412yes—
869C42×C11C2411yescharacteristic
870C42×C11C2414yes—
871C42×C11C2411yescharacteristic
872C42×C11C2411yescharacteristic
873C42×C11C2411yescharacteristic
874C22⋊Dic11C2414yes—
875C22⋊Dic11C2412yes—
876C22⋊Dic11C2414yes—
877C22⋊Dic11C2414yes—
878C22⋊Dic11C2414yes—
879C22⋊Dic11C2414yes—
880C22⋊Dic11C2414yes—
881C22⋊Dic11C2414yes—
882C22⋊Dic11C2412yes—
883C22⋊Dic11C2414yes—
884C22⋊Dic11C2412yes—
885C22⋊Dic11C2414yes—
886C22⋊Dic11C2414yes—
887C22⋊Dic11C2414yes—
888C22⋊Dic11C2414yes—
889C22⋊Dic11C2414yes—
890C22⋊Dic11C2414yes—
891C22⋊Dic11C2414yes—
892C22⋊Dic11C2414yes—
893C22⋊Dic11C2414yes—
894C22⋊Dic11C2414yes—
895C22⋊Dic11C2414yes—
896C22⋊Dic11C2414yes—
897(C2×D11)⋊C4C2412yes—
898(C2×D11)⋊C4C2412yes—
899(C2×D11)⋊C4C2412yes—
900(C2×D11)⋊C4C2412yes—
901(C2×D11)⋊C4C2412yes—
902(C2×D11)⋊C4C2412yes—
903(C2×D11)⋊C4C2412yes—
904(C2×D11)⋊C4C2412yes—
905(C2×D11)⋊C4C2414yes—
906(C2×D11)⋊C4C2414yes—
907(C2×D11)⋊C4C2414yes—
908(C2×D11)⋊C4C2414yes—
909(C2×D11)⋊C4C2414yes—
910(C2×D11)⋊C4C2414yes—
911(C2×D11)⋊C4C2412yes—
912(C2×D11)⋊C4C2412yes—
913C4⋊Dic11C2412yes—
914C4⋊Dic11C2412yes—
915C4⋊Dic11C2412yes—
916C4⋊Dic11C2412yes—
917C4⋊Dic11C2412yes—
918C4⋊Dic11C2411yescharacteristic
919C4⋊Dic11C2414yes—
920C4⋊Dic11C2414yes—
921C4⋊Dic11C2412yes—
922C4⋊Dic11C2412yes—
923C4⋊Dic11C2412yes—
924C4⋊Dic11C2414yes—
925C4⋊Dic11C2412yes—
926C4⋊Dic11C2412yes—
927C4⋊Dic11C2411yescharacteristic
928C4⋊Dic11C2414yes—
929C4⋊Dic11C2414yes—
930C4⋊Dic11C2414yes—
931C4⋊Dic11C2414yes—
932C4⋊Dic11C2414yes—
933Dic11⋊C4C2412yes—
934Dic11⋊C4C2412yes—
935Dic11⋊C4C2414yes—
936Dic11⋊C4C2414yes—
937Dic11⋊C4C2414yes—
938Dic11⋊C4C2414yes—
939Dic11⋊C4C2412yes—
940Dic11⋊C4C2414yes—
941Dic11⋊C4C2414yes—
942Dic11⋊C4C2414yes—
943Dic11⋊C4C2414yes—
944Dic11⋊C4C2414yes—
945Dic11⋊C4C2412yes—
946Dic11⋊C4C2414yes—
947Dic11⋊C4C2414yes—
948Dic11⋊C4C2414yes—
949Dic11⋊C4C2414yes—
950Dic11⋊C4C2412yes—
951Dic11⋊C4C2412yes—
952Dic11⋊C4C2414yes—
953Dic11⋊C4C2414yes—
954Dic11⋊C4C2414yes—
955Dic11⋊C4C2414yes—
956Dic11⋊C4C2414yes—
957Dic11⋊C4C2412yes—
958Dic11⋊C4C2412yes—
959Dic11⋊C4C2414yes—
960Dic11⋊C4C2414yes—
961Dic11⋊C4C2412yes—
962Dic11⋊C4C2414yes—
963Dic11⋊C4C2414yes—
964Dic11⋊C4C2412yes—
965C4×Dic11C2411yescharacteristic
966C4×Dic11C2412yes—
967C4×Dic11C2414yes—
968C4×Dic11C2412yes—
969C4×Dic11C2414yes—
970C4×Dic11C2414yes—
971C4×Dic11C2414yes—
972C4×Dic11C2414yes—
973C4×Dic11C2414yes—
974C4×Dic11C2414yes—
975C4×Dic11C2411yescharacteristic
976C4×Dic11C2411yescharacteristic
977C4×Dic11C2411yescharacteristic
978C4×Dic11C2411yescharacteristic
979C4×Dic11C2411yescharacteristic
980C4×Dic11C2411yescharacteristic
981C4×Dic11C2411yescharacteristic
982C4×Dic11C2411yescharacteristic
983C4×Dic11C2411yescharacteristic
984C4×Dic11C2411yescharacteristic
985C4×Dic11C2411yescharacteristic
986C4×Dic11C2414yes—
987C4×Dic11C2414yes—
988C4×Dic11C2412yes—
989C4×Dic11C2412yes—
990C4×Dic11C2414yes—
991C4×Dic11C2412yes—
992#3568—112no—
993#3567—112no—
994#3566—114no—
995#3565—112no—
996#3564—112no—
997#3563—111no—
998#3562—112no—
999#3561—111no—
1000#3560—112no—
1001#3559—111no—
1002#3558D1111yescharacteristic, complemented
1003#3557—112no—
1004#3551—112no—
1005#3542—112no—
1006#3541—112no—
1007#3533—114no—
1008#3531—112no—
1009#3529—112no—
1010#3482—112no—
1011#3481—112no—
1012#3480—112no—
1013#3475—114no—
1014#3475—112no—
1015#3461—112no—
1016#3460—112no—
1017#3460—112no—
1018#3459—112no—
1019#3455—114no—
1020#3444—111no—
1021#3444—111no—
1022C2×#529—111no—
1023C23×C11—24no—
1024C23×C11—42no—
1025C23×C11—44no—
1026C23×C11—42no—
1027C23×C11—44no—
1028C23×C11—44no—
1029C23×C11C2512yes—
1030C23×C11C2514yes—
1031C23×C11C2514yes—
1032C23×C11C2511yescharacteristic
1033C22×D11—22no—
1034C22×D11—41no—
1035C22×D11—41no—
1036C22×D11C2511yescharacteristic
1037C22×D11C2511yescharacteristic
1038C22×D11C2512yes—
1039Q8×C11—24no—
1040Q8×C11—41no—
1041Q8×C11—42no—
1042Q8×C11—42no—
1043D4×C11—24no—
1044D4×C11—28no—
1045D4×C11—24no—
1046D4×C11—24no—
1047D4×C11—42no—
1048D4×C11—41no—
1049D4×C11—44no—
1050D4×C11—44no—
1051D4×C11—42no—
1052D4×C11—44no—
1053D4×C11—44no—
1054D4×C11—42no—
1055D4×C11—44no—
1056C2×C4×C11—22no—
1057C2×C4×C11—22no—
1058C2×C4×C11—24no—
1059C2×C4×C11—41no—
1060C2×C4×C11—44no—
1061C2×C4×C11—42no—
1062C2×C4×C11—44no—
1063C2×C4×C11—44no—
1064C2×C4×C11C2511yescharacteristic
1065C2×C4×C11C2512yes—
1066C2×C4×C11C2512yes—
1067C2×C4×C11C2514yes—
1068C2×C4×C11C2514yes—
1069C2×C4×C11C2512yes—
1070C2×C4×C11C2511yescharacteristic
1071C2×C4×C11C2511yescharacteristic
1072C2×C4×C11C2511yescharacteristic
1073C2×C4×C11C2511yescharacteristic
1074C2×C4×C11C2511yescharacteristic
1075C22⋊D11—24no—
1076C22⋊D11—42no—
1077C22⋊D11—42no—
1078C22⋊D11—44no—
1079C22⋊D11—44no—
1080C22⋊D11—42no—
1081C22⋊D11—44no—
1082C22⋊D11—44no—
1083C22⋊D11—44no—
1084C22⋊D11—42no—
1085C22⋊D11—44no—
1086C22⋊D11—44no—
1087C22⋊D11—44no—
1088C2×Dic11—22no—
1089C2×Dic11—24no—
1090C2×Dic11—22no—
1091C2×Dic11—28no—
1092C2×Dic11—24no—
1093C2×Dic11—28no—
1094C2×Dic11—41no—
1095C2×Dic11—44no—
1096C2×Dic11—44no—
1097C2×Dic11—44no—
1098C2×Dic11—42no—
1099C2×Dic11—44no—
1100C2×Dic11—44no—
1101C2×Dic11—42no—
1102C2×Dic11—44no—
1103C2×Dic11—44no—
1104C2×Dic11C2511yescharacteristic
1105C2×Dic11C2511yescharacteristic
1106C2×Dic11C2511yescharacteristic
1107C2×Dic11C2514yes—
1108C2×Dic11C2514yes—
1109C2×Dic11C2512yes—
1110C2×Dic11C2511yescharacteristic
1111C2×Dic11C2511yescharacteristic
1112C2×Dic11C2512yes—
1113C2×Dic11C2514yes—
1114C2×Dic11C2512yes—
1115C2×Dic11C2514yes—
1116C2×Dic11C2511yescharacteristic
1117D44—42no—
1118D44—41no—
1119D44—42no—
1120C4×D11—22no—
1121C4×D11—22no—
1122C4×D11—24no—
1123C4×D11—22no—
1124C4×D11—22no—
1125C4×D11—24no—
1126C4×D11—41no—
1127C4×D11—41no—
1128C4×D11—41no—
1129C4×D11—41no—
1130C4×D11—41no—
1131C4×D11—41no—
1132C4×D11—41no—
1133C4×D11—41no—
1134C4×D11—44no—
1135C4×D11—42no—
1136C4×D11—44no—
1137Dic22—24no—
1138Dic22—42no—
1139Dic22—42no—
1140Dic22—44no—
1141Dic22—42no—
1142Dic22—44no—
1143Dic22—41no—
1144Dic22—44no—
1145#564—112no—
1146#563—114no—
1147#563—112no—
1148#563—112no—
1149#563—112no—
1150#563—114no—
1151#563—114no—
1152#563—114no—
1153#563—114no—
1154#562—114no—
1155#562—114no—
1156#562—112no—
1157#562—112no—
1158#562—114no—
1159#562—114no—
1160#562C2×D1112yescomplemented
1161H(3,𝔽4)C2×D1112yescomplemented
1162#560—114no—
1163#560—114no—
1164#560—114no—
1165#559—112no—
1166#559—114no—
1167#559C2×D1112yescomplemented
1168#557—112no—
1169#557—112no—
1170#556—112no—
1171#556—114no—
1172#556—114no—
1173#556—112no—
1174#556—114no—
1175#556—112no—
1176#555—112no—
1177#555—114no—
1178#554—114no—
1179#554—112no—
1180#554—112no—
1181#554—112no—
1182#553—114no—
1183#553—114no—
1184#553—114no—
1185#553—114no—
1186#553—114no—
1187#553—112no—
1188#553—112no—
1189#553—114no—
1190#553—112no—
1191#553—112no—
1192#552—114no—
1193#552—114no—
1194#552—114no—
1195#552—112no—
1196#552—114no—
1197#552—112no—
1198#552—114no—
1199#552—112no—
1200#552—114no—
1201#552—114no—
1202#552—112no—
1203#551—114no—
1204#551—114no—
1205#551—114no—
1206#551—114no—
1207#551—114no—
1208#551—114no—
1209#551—114no—
1210#551—114no—
1211#550—112no—
1212D4×Q8—112no—
1213#548—112no—
1214#548—112no—
1215#548—112no—
1216#548C2×D1112yes—
1217#547—114no—
1218#547—112no—
1219#547—114no—
1220#547—112no—
1221#546—112no—
1222#546—114no—
1223#546—112no—
1224#546—114no—
1225#546—112no—
1226#546C2×D1114yes—
1227#546C2×D1112yescomplemented
1228D42C2×D1112yes—
1229#544—112no—
1230#544—112no—
1231#544—112no—
1232#543—112no—
1233#542—114no—
1234#542—114no—
1235#542—114no—
1236#542—112no—
1237#542—114no—
1238#542—112no—
1239#542—114no—
1240#542—114no—
1241#542—114no—
1242#542—114no—
1243#542—112no—
1244#542C2×D1112yescomplemented
1245#541—114no—
1246#541—114no—
1247#541—114no—
1248#541—112no—
1249#541—112no—
1250#540—112no—
1251#540—112no—
1252#540—114no—
1253#540—114no—
1254#540—114no—
1255#540—114no—
1256#540—114no—
1257#539—114no—
1258#539—114no—
1259#539—114no—
1260#539—114no—
1261#539—114no—
1262#539—114no—
1263#539—112no—
1264#539—112no—
1265#539—114no—
1266#539—114no—
1267#538—114no—
1268#538—114no—
1269#538—114no—
1270#538—114no—
1271#538—114no—
1272#538—114no—
1273#538—114no—
1274#538—114no—
1275#538—114no—
1276#538—112no—
1277#538C2×D1112yes—
1278#538C2×D1114yescomplemented
1279#537—112no—
1280#537—112no—
1281#537—112no—
1282#536—112no—
1283#536—112no—
1284#535—112no—
1285#535—114no—
1286#535C2×D1112yescomplemented
1287#534—114no—
1288#534C2×D1112yes—
1289#533—111no—
1290#533—111no—
1291#533—111no—
1292#533—111no—
1293#533—114no—
1294#533—112no—
1295#533—114no—
1296#533—111no—
1297#533—111no—
1298#532—111no—
1299#532—111no—
1300#532—112no—
1301#532—111no—
1302#532—114no—
1303#532—111no—
1304#532—114no—
1305#532—111no—
1306#532C2×D1111yescharacteristic
1307#529—112no—
1308#529—112no—
1309#529—114no—
1310#529—111no—
1311#529—112no—
1312#529—112no—
1313#529—112no—
1314#529—112no—
1315#529—112no—
1316#529—112no—
1317#529—112no—
1318#529—112no—
1319#529—112no—
1320#529—112no—
1321#529—111no—
1322#529—114no—
1323#529—112no—
1324#529—114no—
1325#529—112no—
1326#529—114no—
1327#529—114no—
1328#529—114no—
1329#529—114no—
1330#529—112no—
1331#529—112no—
1332#529—114no—
1333#529—114no—
1334#529—114no—
1335#529—114no—
1336#529—112no—
1337#529—112no—
1338#529—112no—
1339#529—112no—
1340#529—111no—
1341#529C2×D1111yescharacteristic
1342C2×#126—112no—
1343C2×#125—111no—
1344C2×#124C2×D1111yescharacteristic
1345#525—112no—
1346#525—112no—
1347#525—111no—
1348#525—111no—
1349#525—112no—
1350#525—112no—
1351#525—114no—
1352#525—114no—
1353#525—114no—
1354#525—114no—
1355#525—114no—
1356#525—112no—
1357C2×#123—112no—
1358C2×C22⋊Q8—111no—
1359C2×#121—111no—
1360C4×#41—112no—
1361C4×#41—112no—
1362C4×#41—111no—
1363C4×#41—112no—
1364C4×#41—111no—
1365C4×#41—112no—
1366C4×#41—112no—
1367C4×#41—114no—
1368C4×#41—114no—
1369C4×#41—112no—
1370C4×#41—112no—
1371C2×C4×Q8—111no—
1372C2×C4×Q8—112no—
1373C2×C4×D4—111no—
1374C2×C4×D4—114no—
1375C2×C4×D4—112no—
1376C2×C4×D4—112no—
1377C2×#117—112no—
1378C2×#117—114no—
1379C22×C42—111no—
1380C22×C11—21no—
1381C22×C11—21no—
1382C22×C11—22no—
1383C22×C11—24no—
1384C22×C11—24no—
1385C22×C11—24no—
1386C22×C11—22no—
1387C22×C11—24no—
1388C22×C11—24no—
1389C22×C11—22no—
1390C22×C11—24no—
1391C22×C11—84no—
1392C22×C11—88no—
1393C22×C11#58512yes—
1394C22×C11C2611yescharacteristic
1395C2×D11—21no—
1396C2×D11—21no—
1397C2×D11—21no—
1398C2×D11—21no—
1399C2×D11—21no—
1400C2×D11—21no—
1401C2×D11—22no—
1402C2×D11—22no—
1403C2×D11—22no—
1404C2×D11—44no—
1405C4×C11—21no—
1406C4×C11—22no—
1407C4×C11—21no—
1408C4×C11—21no—
1409C4×C11—22no—
1410C4×C11—24no—
1411C4×C11—24no—
1412C4×C11—21no—
1413C4×C11—21no—
1414C4×C11—22no—
1415C4×C11#58512yes—
1416Dic11—24no—
1417Dic11—22no—
1418Dic11—22no—
1419Dic11—21no—
1420Dic11—21no—
1421Dic11—24no—
1422Dic11—24no—
1423Dic11—24no—
1424Dic11—22no—
1425Dic11—21no—
1426Dic11—21no—
1427Dic11—21no—
1428Dic11#58512yes—
1429C2×#41—111no—
1430C2×#41—111no—
1431C2×#41—112no—
1432C2×#41—114no—
1433C2×#41—112no—
1434C2×#41—112no—
1435C2×#41—114no—
1436C2×#41—112no—
1437C2×#41—112no—
1438C2×#41C22×D1112yes—
1439C2×#41C22×D1112yes—
1440C22×Q8—112no—
1441C22×Q8C22×D1111yescharacteristic
1442C22×D4—112no—
1443C22×D4C22×D1111yescharacteristic
1444C22×D4C22×D1114yes—
1445C22×D4C22×D1112yes—
1446C23×C4—112no—
1447C23×C4—114no—
1448C23×C4—111no—
1449C23×C4—111no—
1450C23×C4—111no—
1451C4⋊Q8—111no—
1452C4⋊Q8—114no—
1453C4⋊Q8—112no—
1454C4⋊Q8—114no—
1455C4⋊Q8—114no—
1456C4⋊Q8—111no—
1457C4⋊Q8—111no—
1458C4⋊Q8—114no—
1459C4⋊Q8—114no—
1460C4⋊Q8—114no—
1461C4⋊Q8—112no—
1462C4⋊Q8—111no—
1463C4⋊Q8—111no—
1464C4⋊Q8—112no—
1465C4⋊Q8C22×D1111yescharacteristic
1466#127—111no—
1467#127—114no—
1468#127—114no—
1469#127C22×D1111yescharacteristic
1470#127C22×D1112yes—
1471#126—112no—
1472#126—114no—
1473#126—114no—
1474#126—114no—
1475#126—114no—
1476#126—114no—
1477#126—114no—
1478#126—114no—
1479#126—114no—
1480#126—112no—
1481#126—114no—
1482#126—114no—
1483#126—114no—
1484#126—114no—
1485#126—114no—
1486#126—114no—
1487#126—114no—
1488#126—114no—
1489#126—114no—
1490#126—114no—
1491#126—114no—
1492#126—114no—
1493#126—114no—
1494#126—114no—
1495#126—114no—
1496#126—114no—
1497#126—114no—
1498#126—114no—
1499#126—114no—
1500#126—114no—
1501#126—112no—
1502#126—114no—
1503#126C22×D1112yes—
1504#126C22×D1114yes—
1505#125—112no—
1506#125—112no—
1507#125—112no—
1508#125—112no—
1509#125—114no—
1510#125—114no—
1511#125—114no—
1512#125—114no—
1513#125—114no—
1514#125—114no—
1515#125—114no—
1516#125—114no—
1517#125—114no—
1518#125—112no—
1519#125—114no—
1520#125—114no—
1521#125—114no—
1522#125—114no—
1523#125—114no—
1524#125—112no—
1525#125—112no—
1526#125—112no—
1527#125—112no—
1528#125—112no—
1529#125—111no—
1530#125—114no—
1531#125—112no—
1532#125—114no—
1533#125C22×D1111yescharacteristic
1534#124—112no—
1535#124—112no—
1536#124—114no—
1537#124—112no—
1538#124—114no—
1539#124—114no—
1540#124—114no—
1541#124—114no—
1542#124—112no—
1543#124—112no—
1544#124—114no—
1545#124—114no—
1546#124—114no—
1547#124—114no—
1548#124—114no—
1549#124—114no—
1550#124—114no—
1551#124—111no—
1552#124—114no—
1553#124C22×D1112yes—
1554#124C22×D1112yes—
1555#124C22×D1112yes—
1556#124C22×D1112yes—
1557#124C22×D1112yes—
1558#124C22×D1111yescharacteristic
1559#124C22×D1112yes—
1560#124C22×D1114yes—
1561#124C22×D1114yes—
1562#124C22×D1114yes—
1563#123—114no—
1564#123—114no—
1565#123—114no—
1566#123—114no—
1567#123—114no—
1568#123—114no—
1569#123—114no—
1570#123—114no—
1571#123—114no—
1572#123—114no—
1573#123—114no—
1574#123—114no—
1575#123—114no—
1576#123—114no—
1577#123—114no—
1578#123—112no—
1579#123—114no—
1580#123—114no—
1581#123—114no—
1582#123—114no—
1583#123—112no—
1584#123—112no—
1585#123—114no—
1586#123—114no—
1587#123—114no—
1588#123—114no—
1589#123—114no—
1590#123—112no—
1591#123—112no—
1592#123—114no—
1593#123—114no—
1594#123—114no—
1595#123—114no—
1596#123—114no—
1597#123—114no—
1598#123—114no—
1599#123—114no—
1600#123—114no—
1601#123—114no—
1602#123—114no—
1603#123—114no—
1604#123—114no—
1605#123C22×D1112yes—
1606#123C22×D1114yes—
1607#123C22×D1114yes—
1608#123C22×D1114yes—
1609#123C22×D1114yes—
1610C22⋊Q8—112no—
1611C22⋊Q8—112no—
1612C22⋊Q8—112no—
1613C22⋊Q8—112no—
1614C22⋊Q8—112no—
1615C22⋊Q8—111no—
1616C22⋊Q8—112no—
1617C22⋊Q8—112no—
1618C22⋊Q8—114no—
1619C22⋊Q8—114no—
1620C22⋊Q8—112no—
1621C22⋊Q8—111no—
1622C22⋊Q8—112no—
1623C22⋊Q8—112no—
1624C22⋊Q8—114no—
1625C22⋊Q8—114no—
1626C22⋊Q8—114no—
1627C22⋊Q8—114no—
1628C22⋊Q8—112no—
1629C22⋊Q8—114no—
1630C22⋊Q8—114no—
1631C22⋊Q8—112no—
1632C22⋊Q8—111no—
1633C22⋊Q8—112no—
1634C22⋊Q8—112no—
1635C22⋊Q8—112no—
1636C22⋊Q8—112no—
1637C22⋊Q8—114no—
1638C22⋊Q8—112no—
1639C22⋊Q8—114no—
1640C22⋊Q8—114no—
1641C22⋊Q8—114no—
1642C22⋊Q8—114no—
1643C22⋊Q8—114no—
1644C22⋊Q8—114no—
1645C22⋊Q8—114no—
1646C22⋊Q8—114no—
1647C22⋊Q8—114no—
1648C22⋊Q8—114no—
1649C22⋊Q8—114no—
1650C22⋊Q8—114no—
1651C22⋊Q8—114no—
1652C22⋊Q8—114no—
1653C22⋊Q8—114no—
1654C22⋊Q8—114no—
1655C22⋊Q8—114no—
1656C22⋊Q8—114no—
1657C22⋊Q8—114no—
1658C22⋊Q8C22×D1111yescharacteristic
1659C22⋊Q8C22×D1112yes—
1660C22⋊Q8C22×D1114yes—
1661C22⋊Q8C22×D1114yes—
1662#121—112no—
1663#121—112no—
1664#121—112no—
1665#121—112no—
1666#121—112no—
1667#121—111no—
1668#121—112no—
1669#121—112no—
1670#121—112no—
1671#121—112no—
1672#121—114no—
1673#121—114no—
1674#121—114no—
1675#121—114no—
1676#121—114no—
1677#121—114no—
1678#121—114no—
1679#121—114no—
1680#121—114no—
1681#121—114no—
1682#121—114no—
1683#121—114no—
1684#121—114no—
1685#121—112no—
1686#121—114no—
1687#121—114no—
1688#121—114no—
1689#121—114no—
1690#121—112no—
1691#121—114no—
1692#121—112no—
1693#121—114no—
1694#121—111no—
1695#121—114no—
1696#121—111no—
1697#121—112no—
1698#121—112no—
1699#121—112no—
1700#121—114no—
1701#121—114no—
1702#121—114no—
1703#121—114no—
1704#121—114no—
1705#121C22×D1112yes—
1706#121C22×D1112yes—
1707#121C22×D1111yescharacteristic
1708#121C22×D1114yes—
1709#121C22×D1114yes—
1710#121C22×D1112yes—
1711#121C22×D1114yes—
1712#121C22×D1114yes—
1713#121C22×D1114yes—
1714#120—114no—
1715#120—114no—
1716#120—114no—
1717#120—114no—
1718#120—114no—
1719#120—112no—
1720#120—114no—
1721#120—112no—
1722#120C22×D1114yes—
1723#120C22×D1114yes—
1724#120C22×D1114yes—
1725#120C22×D1114yes—
1726#120C22×D1114yes—
1727C4×Q8—112no—
1728C4×Q8—112no—
1729C4×Q8—112no—
1730C4×Q8—112no—
1731C4×Q8—112no—
1732C4×Q8—112no—
1733C4×Q8—111no—
1734C4×Q8—112no—
1735C4×Q8—112no—
1736C4×Q8—114no—
1737C4×Q8—114no—
1738C4×Q8—112no—
1739C4×Q8—112no—
1740C4×Q8—112no—
1741C4×Q8—112no—
1742C4×Q8—111no—
1743C4×Q8—114no—
1744C4×Q8—112no—
1745C4×Q8—114no—
1746C4×Q8—112no—
1747C4×Q8—112no—
1748C4×Q8—111no—
1749C4×Q8—112no—
1750C4×Q8—112no—
1751C4×Q8—114no—
1752C4×Q8—114no—
1753C4×Q8C22×D1112yes—
1754C4×Q8C22×D1111yescharacteristic
1755C4×D4—112no—
1756C4×D4—112no—
1757C4×D4—114no—
1758C4×D4—112no—
1759C4×D4—112no—
1760C4×D4—114no—
1761C4×D4—114no—
1762C4×D4—114no—
1763C4×D4—112no—
1764C4×D4—112no—
1765C4×D4—114no—
1766C4×D4—114no—
1767C4×D4—114no—
1768C4×D4—114no—
1769C4×D4—112no—
1770C4×D4—112no—
1771C4×D4—114no—
1772C4×D4—114no—
1773C4×D4—112no—
1774C4×D4—114no—
1775C4×D4—112no—
1776C4×D4—111no—
1777C4×D4—112no—
1778C4×D4—114no—
1779C4×D4—114no—
1780C4×D4—112no—
1781C4×D4—114no—
1782C4×D4—112no—
1783C4×D4—112no—
1784C4×D4—114no—
1785C4×D4—112no—
1786C4×D4—114no—
1787C4×D4—114no—
1788C4×D4—114no—
1789C4×D4—114no—
1790C4×D4—114no—
1791C4×D4—112no—
1792C4×D4—112no—
1793C4×D4—112no—
1794C4×D4—111no—
1795C4×D4—114no—
1796C4×D4—114no—
1797C4×D4—114no—
1798C4×D4—114no—
1799C4×D4—112no—
1800C4×D4—112no—
1801C4×D4—114no—
1802C4×D4—112no—
1803C4×D4—114no—
1804C4×D4—112no—
1805C4×D4—114no—
1806C4×D4—112no—
1807C4×D4—114no—
1808C4×D4—112no—
1809C4×D4—112no—
1810C4×D4—114no—
1811C4×D4—114no—
1812C4×D4—112no—
1813C4×D4—111no—
1814C4×D4C22×D1112yes—
1815C4×D4C22×D1112yes—
1816C4×D4C22×D1112yes—
1817C4×D4C22×D1111yescharacteristic
1818C4×D4C22×D1114yes—
1819C4×D4C22×D1114yes—
1820C4×D4C22×D1112yes—
1821#117—112no—
1822#117—114no—
1823#117—112no—
1824#117—114no—
1825#117—112no—
1826#117—111no—
1827#117—111no—
1828#117—112no—
1829#117—112no—
1830#117—112no—
1831#117—112no—
1832#117—114no—
1833#117—114no—
1834#117—112no—
1835#117—114no—
1836#117—114no—
1837#117—114no—
1838#117—114no—
1839#117—114no—
1840#117—114no—
1841#117—114no—
1842#117—114no—
1843#117—114no—
1844#117—114no—
1845#117—114no—
1846#117—112no—
1847#117—112no—
1848#117—114no—
1849#117—114no—
1850#117—114no—
1851#117—114no—
1852#117—112no—
1853#117—112no—
1854#117C22×D1112yes—
1855C2×C4⋊C4—112no—
1856C2×C4⋊C4—112no—
1857C2×C4⋊C4—114no—
1858C2×C4⋊C4—114no—
1859C2×C4⋊C4—111no—
1860C2×C4⋊C4—112no—
1861C2×C4⋊C4—112no—
1862C2×C4⋊C4—114no—
1863C2×C4⋊C4—111no—
1864C2×C4⋊C4—112no—
1865C2×C4⋊C4—112no—
1866C2×C4⋊C4—114no—
1867C2×C22⋊C4—112no—
1868C2×C22⋊C4—114no—
1869C2×C22⋊C4—112no—
1870C2×C22⋊C4—114no—
1871C2×C22⋊C4—114no—
1872C2×C22⋊C4—114no—
1873C2×C22⋊C4—112no—
1874C2×C22⋊C4C22×D1112yes—
1875C2×C22⋊C4C22×D1114yes—
1876C2×C22⋊C4C22×D1112yes—
1877C2×C42—111no—
1878C2×C42—112no—
1879C2×C42—114no—
1880C2×C42—114no—
1881C2×C42—111no—
1882C2×C42—112no—
1883C2×C42—114no—
1884C2×C42—111no—
1885C2×C42—112no—
1886C2×C42—114no—
1887C2×C42—111no—
1888C2×C42—111no—
1889C2×C42—111no—
1890C2×C42—111no—
1891C2×C42—111no—
1892C2×C42—111no—
1893C2×C42—111no—
1894C2×C42—111no—
1895C2×C42C22×D1111yescharacteristic
1896C2×C11—22no—
1897C2×C11—44no—
1898C2×C11—42no—
1899C2×C11—44no—
1900C2×C11C2×#58511yescharacteristic
1901C2×C11C2×#58511yescharacteristic
1902C2×C11C2×#58511yescharacteristic
1903D11—42no—
1904D11—41no—
1905D11—41no—
1906C24—111no—
1907C24C23×D1112yes—
1908C24C23×D1114yes—
1909#41—44no—
1910#41—44no—
1911#41—444no—
1912#41—442no—
1913#41—444no—
1914#41—448no—
1915#41—442no—
1916#41—444no—
1917#41—448no—
1918#41—444no—
1919#41—444no—
1920C2×Q8—42no—
1921C2×Q8—112no—
1922C2×Q8—111no—
1923C2×Q8—114no—
1924C2×Q8—112no—
1925C2×Q8—112no—
1926C2×Q8—114no—
1927C2×Q8—112no—
1928C2×Q8—114no—
1929C2×Q8—444no—
1930C2×Q8C23×D1112yes—
1931C2×Q8C23×D1112yes—
1932C2×Q8C23×D1112yes—
1933C2×Q8C23×D1111yescharacteristic
1934C2×D4—42no—
1935C2×D4—44no—
1936C2×D4—48no—
1937C2×D4—112no—
1938C2×D4—112no—
1939C2×D4—112no—
1940C2×D4—114no—
1941C2×D4—114no—
1942C2×D4—112no—
1943C2×D4—114no—
1944C2×D4—114no—
1945C2×D4—112no—
1946C2×D4—114no—
1947C2×D4—114no—
1948C2×D4—114no—
1949C2×D4—114no—
1950C2×D4—112no—
1951C2×D4—112no—
1952C2×D4—111no—
1953C2×D4—444no—
1954C2×D4C23×D1114yes—
1955C2×D4C23×D1112yes—
1956C2×D4C23×D1112yes—
1957C2×D4C23×D1112yes—
1958C2×D4C23×D1114yes—
1959C2×D4C23×D1112yes—
1960C2×D4C23×D1112yes—
1961C2×D4C23×D1114yes—
1962C2×D4C23×D1114yes—
1963C2×D4C23×D1114yes—
1964C2×D4C23×D1111yescharacteristic
1965C2×D4C23×D1114yes—
1966C2×D4C23×D1112yes—
1967C22×C4—111no—
1968C22×C4—111no—
1969C22×C4—114no—
1970C22×C4—112no—
1971C22×C4—112no—
1972C22×C4—114no—
1973C22×C4—111no—
1974C22×C4—112no—
1975C22×C4—114no—
1976C22×C4—114no—
1977C22×C4—114no—
1978C22×C4—112no—
1979C22×C4—114no—
1980C22×C4—114no—
1981C22×C4—114no—
1982C22×C4—114no—
1983C22×C4—112no—
1984C22×C4—111no—
1985C22×C4—111no—
1986C22×C4—111no—
1987C22×C4—111no—
1988C22×C4—112no—
1989C22×C4—111no—
1990C22×C4—111no—
1991C22×C4—111no—
1992C22×C4—111no—
1993C22×C4—111no—
1994C22×C4—111no—
1995C22×C4—111no—
1996C22×C4—111no—
1997C22×C4—112no—
1998C22×C4—114no—
1999C22×C4—114no—
2000C22×C4—442no—
2001C22×C4—442no—
2002C22×C4—442no—
2003C22×C4—444no—
2004C22×C4—448no—
2005C22×C4C23×D1111yescharacteristic
2006C22×C4C23×D1111yescharacteristic
2007C22×C4C23×D1112yes—
2008C22×C4C23×D1111yescharacteristic
2009C22×C4C23×D1112yes—
2010C22×C4C23×D1114yes—
2011C22×C4C23×D1114yes—
2012C22×C4C23×D1114yes—
2013C4⋊C4—114no—
2014C4⋊C4—112no—
2015C4⋊C4—112no—
2016C4⋊C4—114no—
2017C4⋊C4—112no—
2018C4⋊C4—112no—
2019C4⋊C4—112no—
2020C4⋊C4—114no—
2021C4⋊C4—112no—
2022C4⋊C4—114no—
2023C4⋊C4—114no—
2024C4⋊C4—114no—
2025C4⋊C4—114no—
2026C4⋊C4—114no—
2027C4⋊C4—114no—
2028C4⋊C4—114no—
2029C4⋊C4—114no—
2030C4⋊C4—114no—
2031C4⋊C4—114no—
2032C4⋊C4—114no—
2033C4⋊C4—114no—
2034C4⋊C4—114no—
2035C4⋊C4—112no—
2036C4⋊C4—114no—
2037C4⋊C4—112no—
2038C4⋊C4—114no—
2039C4⋊C4—114no—
2040C4⋊C4—112no—
2041C4⋊C4—112no—
2042C4⋊C4—114no—
2043C4⋊C4—114no—
2044C4⋊C4—114no—
2045C4⋊C4—111no—
2046C4⋊C4—111no—
2047C4⋊C4—112no—
2048C4⋊C4—112no—
2049C4⋊C4—114no—
2050C4⋊C4—114no—
2051C4⋊C4—114no—
2052C4⋊C4—112no—
2053C4⋊C4—114no—
2054C4⋊C4—112no—
2055C4⋊C4—114no—
2056C4⋊C4—112no—
2057C4⋊C4—112no—
2058C4⋊C4—112no—
2059C4⋊C4—114no—
2060C4⋊C4—112no—
2061C4⋊C4—114no—
2062C4⋊C4—112no—
2063C4⋊C4—112no—
2064C4⋊C4—114no—
2065C4⋊C4C23×D1112yes—
2066C4⋊C4C23×D1114yes—
2067C4⋊C4C23×D1112yes—
2068C4⋊C4C23×D1111yescharacteristic
2069C4⋊C4C23×D1111yescharacteristic
2070C4⋊C4C23×D1112yes—
2071C4⋊C4C23×D1112yes—
2072C4⋊C4C23×D1114yes—
2073C4⋊C4C23×D1112yes—
2074C4⋊C4C23×D1112yes—
2075C22⋊C4—114no—
2076C22⋊C4—112no—
2077C22⋊C4—112no—
2078C22⋊C4—114no—
2079C22⋊C4—112no—
2080C22⋊C4—114no—
2081C22⋊C4—114no—
2082C22⋊C4—114no—
2083C22⋊C4—114no—
2084C22⋊C4—114no—
2085C22⋊C4—114no—
2086C22⋊C4—114no—
2087C22⋊C4—114no—
2088C22⋊C4—114no—
2089C22⋊C4—114no—
2090C22⋊C4—114no—
2091C22⋊C4—114no—
2092C22⋊C4—114no—
2093C22⋊C4—114no—
2094C22⋊C4—114no—
2095C22⋊C4—114no—
2096C22⋊C4—114no—
2097C22⋊C4—114no—
2098C22⋊C4—114no—
2099C22⋊C4—114no—
2100C22⋊C4—112no—
2101C22⋊C4—112no—
2102C22⋊C4—112no—
2103C22⋊C4—112no—
2104C22⋊C4—112no—
2105C22⋊C4—112no—
2106C22⋊C4—114no—
2107C22⋊C4—114no—
2108C22⋊C4—112no—
2109C22⋊C4—114no—
2110C22⋊C4—112no—
2111C22⋊C4—112no—
2112C22⋊C4—112no—
2113C22⋊C4—114no—
2114C22⋊C4C23×D1112yes—
2115C22⋊C4C23×D1114yes—
2116C22⋊C4C23×D1114yes—
2117C22⋊C4C23×D1114yes—
2118C22⋊C4C23×D1114yes—
2119C22⋊C4C23×D1114yes—
2120C22⋊C4C23×D1114yes—
2121C22⋊C4C23×D1112yes—
2122C22⋊C4C23×D1112yes—
2123C22⋊C4C23×D1114yes—
2124C22⋊C4C23×D1114yes—
2125C22⋊C4C23×D1114yes—
2126C22⋊C4C23×D1114yes—
2127C22⋊C4C23×D1114yes—
2128C22⋊C4C23×D1112yes—
2129C22⋊C4C23×D1112yes—
2130C42—111no—
2131C42—111no—
2132C42—111no—
2133C42—112no—
2134C42—112no—
2135C42—114no—
2136C42—111no—
2137C42—111no—
2138C42—114no—
2139C42—111no—
2140C42—111no—
2141C42—111no—
2142C42—111no—
2143C42—111no—
2144C42—111no—
2145C42—111no—
2146C42—114no—
2147C42—112no—
2148C42—114no—
2149C42—114no—
2150C42—114no—
2151C42—112no—
2152C42—112no—
2153C42—114no—
2154C42—114no—
2155C42—114no—
2156C42—114no—
2157C42C23×D1111yescharacteristic
2158C42C23×D1111yescharacteristic
2159C42C23×D1111yescharacteristic
2160C42C23×D1111yescharacteristic
2161C42C23×D1112yes—
2162C42C23×D1114yes—
2163C11#6274311yescharacteristic, complemented, Sylow
2164C23—24no—
2165C23—42no—
2166C23—44no—
2167C23—42no—
2168C23—44no—
2169C23—44no—
2170C23—111no—
2171C23—111no—
2172C23—112no—
2173C23—222no—
2174C23—441no—
2175C23—441no—
2176C23C24×D1112yes—
2177C23C24×D1114yes—
2178C23C24×D1114yes—
2179C23C24×D1111yescharacteristic
2180Q8—24no—
2181Q8—42no—
2182Q8—42no—
2183Q8—41no—
2184Q8—224no—
2185Q8—444no—
2186Q8—442no—
2187Q8—441no—
2188Q8—444no—
2189Q8—442no—
2190Q8—442no—
2191Q8—444no—
2192D4—24no—
2193D4—28no—
2194D4—24no—
2195D4—24no—
2196D4—44no—
2197D4—42no—
2198D4—44no—
2199D4—44no—
2200D4—42no—
2201D4—44no—
2202D4—42no—
2203D4—41no—
2204D4—44no—
2205D4—224no—
2206D4—441no—
2207D4—442no—
2208D4—442no—
2209D4—444no—
2210D4—444no—
2211D4—442no—
2212D4—444no—
2213D4—444no—
2214D4—444no—
2215D4—444no—
2216D4—442no—
2217D4—442no—
2218D4—442no—
2219D4—444no—
2220D4—444no—
2221C2×C4—22no—
2222C2×C4—22no—
2223C2×C4—24no—
2224C2×C4—41no—
2225C2×C4—44no—
2226C2×C4—42no—
2227C2×C4—44no—
2228C2×C4—44no—
2229C2×C4—111no—
2230C2×C4—111no—
2231C2×C4—111no—
2232C2×C4—111no—
2233C2×C4—112no—
2234C2×C4—112no—
2235C2×C4—114no—
2236C2×C4—111no—
2237C2×C4—111no—
2238C2×C4—114no—
2239C2×C4—114no—
2240C2×C4—112no—
2241C2×C4—114no—
2242C2×C4—222no—
2243C2×C4—222no—
2244C2×C4—224no—
2245C2×C4—222no—
2246C2×C4—224no—
2247C2×C4—228no—
2248C2×C4—228no—
2249C2×C4—222no—
2250C2×C4—224no—
2251C2×C4—222no—
2252C2×C4—222no—
2253C2×C4—224no—
2254C2×C4—441no—
2255C2×C4—441no—
2256C2×C4—441no—
2257C2×C4—441no—
2258C2×C4—441no—
2259C2×C4—441no—
2260C2×C4—441no—
2261C2×C4—441no—
2262C2×C4—444no—
2263C2×C4—442no—
2264C2×C4—444no—
2265C2×C4—444no—
2266C2×C4—442no—
2267C2×C4—444no—
2268C2×C4—444no—
2269C2×C4—444no—
2270C2×C4—441no—
2271C2×C4—442no—
2272C2×C4—444no—
2273C2×C4—444no—
2274C2×C4—444no—
2275C2×C4C24×D1111yescharacteristic
2276C2×C4C24×D1112yes—
2277C2×C4C24×D1112yes—
2278C2×C4C24×D1114yes—
2279C2×C4C24×D1114yes—
2280C2×C4C24×D1112yes—
2281C2×C4C24×D1111yescharacteristic
2282C2×C4C24×D1111yescharacteristic
2283C2×C4C24×D1111yescharacteristic
2284C2×C4C24×D1111yescharacteristic
2285C2×C4C24×D1111yescharacteristic
2286C22—21no—
2287C22—21no—
2288C22—22no—
2289C22—24no—
2290C22—24no—
2291C22—22no—
2292C22—24no—
2293C22—24no—
2294C22—24no—
2295C22—22no—
2296C22—24no—
2297C22—84no—
2298C22—88no—
2299C22—221no—
2300C22—221no—
2301C22—222no—
2302C22—222no—
2303C22—221no—
2304C22—221no—
2305C22—222no—
2306C22—221no—
2307C22—221no—
2308C22—444no—
2309C22#1062345512yes—
2310C22C25×D1111yescharacteristic
2311C4—21no—
2312C4—21no—
2313C4—22no—
2314C4—21no—
2315C4—22no—
2316C4—21no—
2317C4—21no—
2318C4—22no—
2319C4—24no—
2320C4—24no—
2321C4—112no—
2322C4—221no—
2323C4—222no—
2324C4—224no—
2325C4—224no—
2326C4—221no—
2327C4—221no—
2328C4—224no—
2329C4—221no—
2330C4—221no—
2331C4—222no—
2332C4—222no—
2333C4—224no—
2334C4#1062345512yes—
2335C2—22no—
2336C2—42no—
2337C2—44no—
2338C2—44no—
2339C2—441no—
2340C2—441no—
2341C2—442no—
2342C2D11×#58511yescharacteristic
2343C2C2×#1062345511yescharacteristic
2344C2C2×#1062345511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3558C2
hypercenter#3558D11
hypocenterC11#62743
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3558

Complements

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

NH ≅ G/Ntype
1. #13083310C2semidirect
2. #13083303C2semidirect
3. #13083271C2semidirect
4. #13083267C2semidirect
5. #13083242C2semidirect
6. #13083219C2semidirect
7. #13083200C2semidirect
8. #13083188C2semidirect
9. #13083158C2semidirect
10. #13083154C2semidirect
11. #13083113C2semidirect
12. #13083036C2semidirect
13. #13082937C2semidirect
14. #13082895C2semidirect
15. #13082775C2semidirect
16. #13082760C2semidirect
17. #13082756C2semidirect
18. #13082232C2semidirect
19. #13082217C2semidirect
20. #13082212C2semidirect
21. #13082167C2semidirect
22. #13082167C2semidirect
23. #13082042C2semidirect
24. #13082035C2semidirect
25. #13082029C2semidirect
26. #13082022C2semidirect
27. #13081998C2semidirect
28. #13081911C2semidirect
29. #13081910C2semidirect
30. C2×#10623211C2semidirect
31. C11×#3558C2semidirect
32. C11×#562C22semidirect
33. C11×H(3,𝔽4)C22semidirect
34. C11×#559C22semidirect
37. C11×#546C22semidirect
39. C11×#542C22semidirect
41. C11×#538C22semidirect
42. C11×#535C22semidirect
47. #10623364C22semidirect
48. #10623362C22semidirect
49. #10623359C22semidirect
50. #41×Dic11C22semidirect
51. #41×Dic11C22semidirect
52. #10623355C22semidirect
53. #10623355C22semidirect
54. Q8×C22⋊D11C22semidirect
55. C2×#66999C22semidirect
56. C2×Q8×Dic11C22semidirect
58. #10623337C22semidirect
59. #10623337C22semidirect
60. #10623337C22semidirect
61. #10623337C22semidirect
62. #10623336C22semidirect
63. #10623335C22semidirect
66. C2×D4×Dic11C22semidirect
67. C2×D4×Dic11C22semidirect
68. #10623260C22semidirect
69. #10623259C22semidirect
70. #10623259C22semidirect
72. #10623250C22semidirect
74. #10623247C22semidirect
75. #10623247C22semidirect
76. #10623247C22semidirect
77. #10623244C22semidirect
78. #10623241C22semidirect
79. #10623237C22semidirect
80. #10623237C22semidirect
81. #10623237C22semidirect
82. #10623232C22semidirect
83. #10623232C22semidirect
84. #10623232C22semidirect
85. #10623222C22semidirect
86. #10623219C22semidirect
87. C11⋊#564C22semidirect
88. #10623215C22semidirect
89. #10623215C22semidirect
90. #10623215C22semidirect
91. #10623215C22semidirect
92. #10623213C22semidirect
93. #10623213C22semidirect
94. #10623211C22semidirect
95. #10623211C22semidirect
96. #10623211C22semidirect
97. #10623211C22semidirect
98. #10623211C22semidirect
99. #10623211C22semidirect
100. #10623211C22semidirect
101. #10623211C22semidirect
102. #10623211C22semidirect
103. #10623211C22semidirect
104. #10623211C22semidirect
105. #10623211C22semidirect
106. #10623211C22semidirect
107. #10623211C22semidirect
108. #10623208C22semidirect
109. #10623208C22semidirect
110. #10623206C22semidirect
111. #10623203C22semidirect
112. #10623203C22semidirect
113. #10623203C22semidirect
114. #10623203C22semidirect
115. #10623202C22semidirect
116. #10623202C22semidirect
117. #10623202C22semidirect
118. #10623202C22semidirect
119. #10623202C22semidirect
120. #10623200C22semidirect
121. #10623200C22semidirect
122. #10623200C22semidirect
123. #10623200C22semidirect
124. #10623199C22semidirect
125. #10623199C22semidirect
126. #10623196C22semidirect
127. #10623196C22semidirect
128. #10623194C22semidirect
129. #10623193C22semidirect
130. #10623193C22semidirect
131. #10623192C22semidirect
132. #10623192C22semidirect
133. #10623191C22semidirect
134. #10623187C22semidirect
135. #10623182C22semidirect
136. #10623182C22semidirect
137. #10623181C22semidirect
138. #10623181C22semidirect
139. #10623181C22semidirect
140. #10623180C22semidirect
141. #10623180C22semidirect
142. #10623180C22semidirect
143. #10623180C22semidirect
144. #10623180C22semidirect
145. #10623177C22semidirect
146. #10623177C22semidirect
147. #10623176C22semidirect
148. #10623173C22semidirect
149. #10623173C22semidirect
150. #10623170C22semidirect
151. #10623170C22semidirect
152. #10623169C22semidirect
153. #10623159C22semidirect
154. #10623158C22semidirect
155. #10623154C22semidirect
156. #10623153C22semidirect
157. #10623153C22semidirect
158. #10623153C22semidirect
159. #10623153C22semidirect
160. #10623152C22semidirect
161. #10623152C22semidirect
162. #10623150C22semidirect
163. #10623149C22semidirect
164. #10623149C22semidirect
165. #10623149C22semidirect
166. #10623148C22semidirect
168. #10623147C22semidirect
169. #10623146C22semidirect
170. #10623146C22semidirect
171. #10623146C22semidirect
172. #10623142C22semidirect
173. #10623142C22semidirect
176. #10623137C22semidirect
177. #10623137C22semidirect
178. #10623134C22semidirect
180. #10623133C22semidirect
181. #10623133C22semidirect
182. #10623132C22semidirect
183. #10623132C22semidirect
184. #10623132C22semidirect
185. #10623131C22semidirect
186. #10623131C22semidirect
187. #10623131C22semidirect
188. #10623131C22semidirect
189. #10623131C22semidirect
190. #10623131C22semidirect
191. #10623131C22semidirect
192. #10623128C22semidirect
194. #10623127C22semidirect
195. #10623126C22semidirect
196. #10623126C22semidirect
197. #10623126C22semidirect
198. #10623124C22semidirect
199. #10623124C22semidirect
200. #10623124C22semidirect
201. #10623124C22semidirect
202. #10623124C22semidirect
203. #10623124C22semidirect
204. #10623123C22semidirect
205. #10623118C22semidirect
206. #10623118C22semidirect
207. #10623118C22semidirect
208. #10623118C22semidirect
209. #10623118C22semidirect
210. #10623117C22semidirect
211. #10623117C22semidirect
212. #10623117C22semidirect
213. #10623117C22semidirect
214. #10623117C22semidirect
215. #10623115C22semidirect
216. #10623114C22semidirect
217. #10623109C22semidirect
218. C4×#4343C22semidirect
219. C4×Q8×D11C22semidirect
220. #10623100C22semidirect
221. #10623098C22semidirect
222. #10623095C22semidirect
223. #10623095C22semidirect
224. #10623092C22semidirect
225. #10623091C22semidirect
226. #10623090C22semidirect
227. #10623089C22semidirect
228. #10623089C22semidirect
229. #10623088C22semidirect
230. #10623088C22semidirect
231. #10623079C22semidirect
232. #10623078C22semidirect
233. #10623074C22semidirect
234. #10623074C22semidirect
235. #10623072C22semidirect
236. #10623072C22semidirect
237. #10623072C22semidirect
238. #10623072C22semidirect
239. #10623070C22semidirect
240. #10623070C22semidirect
241. C4×#4341C22semidirect
242. C4×#4341C22semidirect
243. C4×#4341C22semidirect
244. C4×#4341C22semidirect
245. C4×#4341C22semidirect
246. C4×#4341C22semidirect
247. C4×#4341C22semidirect
248. #10623059C22semidirect
249. #10623053C22semidirect
250. #10623050C22semidirect
251. #10623049C22semidirect
252. #10623026C22semidirect
253. #10623026C22semidirect
254. #10623026C22semidirect
255. #10623025C22semidirect
256. #10623025C22semidirect
257. C2×#66936C22semidirect
258. C2×(C22⋊D11)⋊C4C22semidirect
259. #10623014C22semidirect
260. C2×#66932C22semidirect
261. C2×#66930C22semidirect
262. C2×#66930C22semidirect
263. #10623010C22semidirect
264. C2×C42×D11C22semidirect
265. #10623001C22semidirect
266. C2×#66923C22semidirect
1002. #3558D11semidirect
1160. #562C2×D11semidirect
1161. H(3,𝔽4)C2×D11semidirect
1167. #559C2×D11semidirect
1227. #546C2×D11semidirect
1244. #542C2×D11semidirect
1278. #538C2×D11semidirect
1286. #535C2×D11semidirect
2163. C11#62743semidirect

Maximal subgroups

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

subgroupindex
#130833102
#130833032
#130832712
#130832672
#130832422
#130832192
#130832002
#130831882
#130831582
#130831542
#130831132
#130830362
#130829372
#130828952
#130827752
#130827602
#130827562
#130822322
#130822172
#130822122
#130821672
#130820422
#130820352
#130820292
#130820222
#130819982
#130819112
#130819102
C2×#106232112
C11×#35582
#6274311