Finite Group Databasebeta

← #26005351

Subgroups — #26005351

Order 11008.

6626 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149266C214yesmaximal, complemented
2#19149260C214yesmaximal, complemented
3#19149228C212yesmaximal, complemented
4#19149185C212yesmaximal, complemented
5#19149077C211yesmaximal, characteristic, complemented
6#19149068C211yesmaximal, characteristic, complemented
7#19148967C211yesmaximal, characteristic, complemented
8#19148899C212yesmaximal, complemented
9#19148890C212yesmaximal, complemented
10#19148757C214yesmaximal, complemented
11#19148697C212yesmaximal, complemented
12#19148695C212yesmaximal, complemented
13#19148686C211yesmaximal, characteristic, complemented
14#19148679C211yesmaximal, characteristic, complemented
15#19148670C212yesmaximal, complemented
16#19148661C214yesmaximal, complemented
17#19148658C212yesmaximal, complemented
18#19148635C211yesmaximal, characteristic, complemented
19#19148630C211yesmaximal, characteristic, complemented
20#19148611C211yesmaximal, characteristic, complemented
21#19148600C211yesmaximal, characteristic, complemented
22#19148574C211yesmaximal, characteristic, complemented
23#19148570C212yesmaximal, complemented
24#19148557C211yesmaximal, characteristic, complemented
25#19148549C212yesmaximal, complemented
26#19148516C212yesmaximal, complemented
27#19148494C212yesmaximal, complemented
28#19148437C212yesmaximal, complemented
29#19148424C212yesmaximal, complemented
30#19148350C212yesmaximal, complemented
31#19148322C212yesmaximal, complemented
32#19147892C211yesmaximal, characteristic, complemented
33#19147890C211yesmaximal, characteristic, complemented
34#529×D43C211yesmaximal, characteristic, complemented
35C43×#3547C211yesmaximal, characteristic, complemented
36#14583650C2214yescomplemented
37#14583648C2214yescomplemented
38#14583646C2214yescomplemented
39#14583646C2214yescomplemented
40#14583645C2214yescomplemented
41#14583637C2214yescomplemented
42#14583637C2214yescomplemented
43#14583634C2211yescharacteristic, complemented
44#14583632C2212yescomplemented
45#14583631C2212yescomplemented
46#14583631C2214yescomplemented
47#14583631C2214yescomplemented
48#14583631C2214yescomplemented
49#14583629C2211yescharacteristic, complemented
50#14583628C2211yescharacteristic, complemented
51#14583625C2212yescomplemented
52#14583624C2211yescharacteristic, complemented
53#14583624C2212yescomplemented
54#14583623C2211yescharacteristic, complemented
55#14583623C2214yescomplemented
56#14583623C2214yescomplemented
57#14583621C2212yescomplemented
58#14583619C2211yescharacteristic, complemented
59#14583619C2212yescomplemented
60#14583618C2214yescomplemented
61#14583617C2212yescomplemented
62#14583617C2212yescomplemented
63#14583617C2212yescomplemented
64#14583615C2212yescomplemented
65#14583613C2214yescomplemented
66#14583613C2212yescomplemented
67#14583611C2214yescomplemented
68#14583610C2211yescharacteristic, complemented
69#14583610C2214yescomplemented
70#14583607C2212yescomplemented
71#14583605C2212yescomplemented
72#14583605C2212yescomplemented
73#14583601C2214yescomplemented
74#14583601C2214yescomplemented
75#14583601C2214yescomplemented
76#14583597C2212yes—
77#14583597C2212yescomplemented
78#14583596C2214yescomplemented
79#14583595C2212yescomplemented
80#14583595C2214yescomplemented
81#14583594C2214yescomplemented
82#14583594C2214yescomplemented
83#14583593C2212yes—
84#14583593C2212yescomplemented
85#14583593C2214yescomplemented
86#14583592C2214yescomplemented
87#14583592C2214yescomplemented
88#14583591C2212yescomplemented
89#14583591C2214yescomplemented
90#14583591C2214yescomplemented
91#14583591C2214yescomplemented
92#14583588C2212yescomplemented
93#14583587C2214yescomplemented
94#14583587C2212yescomplemented
95#14583587C2214yescomplemented
96#14583585C2214yescomplemented
97#14583584C2212yescomplemented
98#14583583C2212yescomplemented
99#14583583C2214yescomplemented
100#14583583C2214yescomplemented
101#14583582C2214yescomplemented
102#14583578C2214yescomplemented
103#14583577C2214yescomplemented
104#14583576C2214yescomplemented
105#14583576C2214yescomplemented
106#14583576C2214yescomplemented
107#14583574C2214yescomplemented
108#14583572C2214yescomplemented
109#14583572C2214yescomplemented
110#14583572C2214yescomplemented
111#14583572C2214yescomplemented
112#14583572C2214yescomplemented
113#14583570C2211yescharacteristic, complemented
114#14583570C2211yescharacteristic, complemented
115#14583568C2212yescomplemented
116#14583567C2212yescomplemented
117#14583567C2212yescomplemented
118D4×Dic86C2211yescharacteristic, complemented
119Q8×C22⋊D43C2212yescomplemented
120#14583560C2212yescomplemented
121#14583559C2212yescomplemented
122#14583558C2212yescomplemented
123#14583555C2212yescomplemented
124#14583555C2212yescomplemented
125#14583554C2212yescomplemented
126#14583553C2211yescharacteristic, complemented
127#14583553C2212yescomplemented
128#14583551C2212yescomplemented
129#14583551C2214yescomplemented
130#14583550C2212yescomplemented
131#14583547C2214yescomplemented
132#14583546C2214yescomplemented
133#14583546C2212yescomplemented
134#14583546C2212yescomplemented
135#14583545C2212yescomplemented
136#14583544C2212yescomplemented
137#14583542C2214yes—
138#14583540C2212yes—
139#14583538C2214yescomplemented
140#14583537C2212yes—
141D4×D172C2211yescharacteristic, complemented
142#14583533C2212yes—
143#14583529C2212yescomplemented
144#14583523C2212yescomplemented
145#14583523C2212yescomplemented
146#14583522C2212yes—
147#14583522C2212yescomplemented
148#14583522C2212yescomplemented
149#14583522C2212yescomplemented
150#14583522C2214yescomplemented
151#14583520C2212yescomplemented
152#14583519C2214yescomplemented
153#14583519C2214yescomplemented
154#14583516C2212yescomplemented
155#14583513C2214yescomplemented
156#14583513C2214yescomplemented
157#14583512C2212yescomplemented
158#14583512C2212yescomplemented
159#14583509C2212yescomplemented
160#14583509C2212yescomplemented
161#14583509C2214yescomplemented
162#14583508C2214yescomplemented
163#14583507C2214yescomplemented
164#14583502C2212yescomplemented
165#14583502C2212yescomplemented
166#14583502C2212yescomplemented
167#14583502C2214yescomplemented
168#14583501C2214yescomplemented
169#14583499C2214yescomplemented
170#14583498C2214yescomplemented
171#14583497C2214yescomplemented
172#14583493C2214yescomplemented
173#14583493C2214yescomplemented
174#14583492C2214yescomplemented
175#14583490C2214yescomplemented
176#14583490C2214yescomplemented
177#14583489C2214yescomplemented
178#14583486C2214yescomplemented
179#14583485C2214yescomplemented
180#14583485C2214yescomplemented
181#14583483C2214yescomplemented
182#14583483C2214yescomplemented
183#14583483C2214yescomplemented
184#14583483C2214yescomplemented
185#14583481C2214yescomplemented
186#14583477C2212yescomplemented
187#14583475C2212yescomplemented
188#14583465C2214yescomplemented
189#14583463C2212yes—
190#14583462C2212yescomplemented
191#14583457C2214yescomplemented
192#14583456C2211yescharacteristic, complemented
193#14583454C2211yescharacteristic, complemented
194#14583454C2211yescharacteristic, complemented
195#14583454C2212yescomplemented
196#14583454C2211yescharacteristic, complemented
197#14583454C2211yescharacteristic, complemented
198#14583452C2212yescomplemented
199#14583450C2211yescharacteristic
200#14583450C2211yescharacteristic, complemented
201#14583449C2211yescharacteristic, complemented
202#14583447C2211yescharacteristic
203#14583447C2211yescharacteristic, complemented
204#14583446C2212yescomplemented
205#14583445C2212yescomplemented
206#14583436C2211yescharacteristic
207#14583436C2212yescomplemented
208#14583436C2212yescomplemented
209#14583435C2211yescharacteristic
210#14583435C2212yescomplemented
211#14583435C2212yescomplemented
212#14583435C2212yescomplemented
213#14583435C2212yescomplemented
214#14583435C2212yescomplemented
215#14583434C2211yescharacteristic
216#14583434C2212yescomplemented
217#14583434C2212yescomplemented
218#14583434C2212yescomplemented
219#14583433C2211yescharacteristic
220#14583432C2212yescomplemented
221#14583431C2212yes—
222#14583431C2211yescharacteristic
223#14583431C2211yescharacteristic, complemented
224#14583431C2211yescharacteristic, complemented
225#14583431C2212yescomplemented
226#14583431C2214yescomplemented
227#14583430C2212yescomplemented
228#14583430C2211yescharacteristic, complemented
229#14583430C2211yescharacteristic, complemented
230#14583430C2211yescharacteristic, complemented
231#14583430C2212yescomplemented
232#14583429C2212yescomplemented
233#14583428C2211yescharacteristic, complemented
234#14583428C2212yescomplemented
235#14583428C2212yescomplemented
236#14583428C2214yescomplemented
237#14583427C2212yescomplemented
238#14583427C2214yescomplemented
239#14583426C2212yescomplemented
240#126×D43C2212yescomplemented
241#126×D43C2214yescomplemented
242C2×#13063316C2212yescomplemented
243#125×D43C2211yescharacteristic, complemented
244C2×#13063314C2212yescomplemented
245#124×D43C2211yescharacteristic
246#14583412C2212yescomplemented
247#14583412C2212yescomplemented
248#14583411C2212yes—
249#14583411C2212yescomplemented
250#14583409C2211yescharacteristic
251#14583409C2212yescomplemented
252#14583409C2211yescharacteristic, complemented
253#14583409C2212yescomplemented
254#14583406C2212yescomplemented
255#123×D43C2212yescomplemented
256C2×#13063305C2212yescomplemented
257C22⋊Q8×D43C2211yescharacteristic, complemented
258#121×D43C2212yes—
259#121×D43C2211yescharacteristic
260#14583382C2212yescomplemented
261#14583380C2212yescomplemented
262#14583380C2212yescomplemented
263#14583379C2214yescomplemented
264#14583378C2212yescomplemented
265#14583377C2212yescomplemented
266#14583376C2212yescomplemented
267#14583373C2212yescomplemented
268#14583371C2214yescomplemented
269#14583371C2212yescomplemented
270#41×Dic43C2212yescomplemented
271C4×#10621902C2212yescomplemented
272C4×#10621902C2212yescomplemented
273#14583367C2212yescomplemented
274C4×#10621900C2212yescomplemented
275C4×#10621900C2211yescharacteristic, complemented
276C4×#10621900C2211yescharacteristic, complemented
277C4×Q8×D43C2211yescharacteristic, complemented
278C4×D4×D43C2211yescharacteristic
279C4×D4×D43C2212yescomplemented
280#117×D43C2212yescomplemented
281C2×C42×D43C2211yescharacteristic, complemented
282C43×#562C2214yescomplemented
283C43×#555C2211yescharacteristic, complemented
284C43×#555C2212yescomplemented
285C43×#554C2211yescharacteristic, complemented
286C43×#553C2212yescomplemented
287C43×#552C2212yescomplemented
288D4×Q8×C43C2211yescharacteristic, complemented
289C43×#548C2212yescomplemented
290C43×#547C2211yescharacteristic, complemented
291C43×#544C2212yescomplemented
292C43×#542C2214yescomplemented
293C43×#540C2212yescomplemented
294C43×#537C2212yescomplemented
295C43×#536C2212yescomplemented
296C43×#533C2211yescharacteristic, complemented
297C43×#532C2211yescharacteristic, complemented
298C43×#529C2211yescharacteristic, complemented
299C2×#10621902C2312yes—
300C2×#10621902C2312yes—
301C2×#10621898C2312yes—
302C2×#10621898C2312yes—
303C2×#10621898C2312yes—
304C2×#10621898C2314yes—
305C2×#10621900C2312yes—
306C2×#10621900C2311yescharacteristic
307C2×#10621900C2311yescharacteristic
308C2×#10621900C2312yes—
309C22×Dic86C2312yes—
310C2×Q8×D43C2311yescharacteristic
311C22×D172C2312yes—
312C2×D4×D43C2311yescharacteristic
313C2×D4×D43C2312yes—
314C2×D4×D43C2314yes—
315C2×D4×D43C2312yes—
316C22×C4×D43C2311yescharacteristic
317C22×C4×D43C2311yescharacteristic
318C22×C4×D43C2311yescharacteristic
319C22×C4×D43C2312yes—
320#13063325C2312yes—
321#13063325C2311yescharacteristic
322#13063325C2311yescharacteristic
323#13063325C2311yescharacteristic
324#13063324C2312yes—
325#13063324C2312yes—
326#13063324C2312yes—
327#13063324C2314yes—
328#13063323C2314yes—
329#13063323C2312yes—
330#13063323C2314yes—
331#13063322C2311yescharacteristic
332#13063321C2312yes—
333#13063321C2314yes—
334#13063321C2314yes—
335#13063321C2312yes—
336#13063320C2314yes—
337#13063320C2312yes—
338#13063320C2314yes—
339#13063320C2314yes—
340#13063320C2314yes—
341#13063320C2314yes—
342#13063320C2314yes—
343#13063320C2314yes—
344#13063320C2314yes—
345#13063320C2312yes—
346#13063320C2314yes—
347#13063320C2314yes—
348#13063320C2314yes—
349#13063320C2314yes—
350#13063320C2314yes—
351#13063320C2312yes—
352#13063320C2314yes—
353#13063319C2314yes—
354#13063319C2314yes—
355#13063319C2314yes—
356#13063319C2312yes—
357#13063318C2314yes—
358#13063318C2314yes—
359#13063318C2312yes—
360#13063318C2314yes—
361#13063318C2314yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2312yes—
366#13063318C2314yes—
367#13063318C2312yes—
368#13063318C2312yes—
369#13063318C2312yes—
370#13063318C2312yes—
371#13063318C2312yes—
372#13063317C2314yes—
373#13063317C2311yescharacteristic
374#13063317C2312yes—
375#13063316C2314yes—
376#13063316C2314yes—
377#13063316C2312yes—
378#13063316C2311yescharacteristic
379#13063316C2314yes—
380#13063316C2312yes—
381#13063316C2314yes—
382#13063316C2314yes—
383#13063316C2312yes—
384#13063316C2314yes—
385#13063316C2312yes—
386#13063316C2314yes—
387#13063316C2311yescharacteristic
388#13063316C2311yescharacteristic
389#13063316C2311yescharacteristic
390#13063316C2312yes—
391#13063316C2312yes—
392#13063315C2312yes—
393#13063315C2314yes—
394#13063315C2314yes—
395#13063315C2314yes—
396#13063315C2314yes—
397#13063315C2314yes—
398#13063315C2312yes—
399#13063314C2312yes—
400#13063314C2314yes—
401#13063314C2314yes—
402#13063314C2314yes—
403#13063314C2314yes—
404#13063314C2312yes—
405#13063314C2311yescharacteristic
406#13063314C2312yes—
407#13063314C2312yes—
408#13063313C2312yes—
409#13063313C2311yescharacteristic
410#13063313C2312yes—
411#13063312C2311yescharacteristic
412#13063312C2312yes—
413#13063312C2312yes—
414#13063312C2314yes—
415#13063312C2311yescharacteristic
416#13063312C2311yescharacteristic
417#13063311C2314yes—
418#13063311C2314yes—
419#13063311C2314yes—
420#13063311C2314yes—
421#13063311C2314yes—
422#13063311C2314yes—
423#13063311C2312yes—
424#13063311C2314yes—
425#13063311C2314yes—
426#13063311C2312yes—
427#13063310C2314yes—
428#13063310C2314yes—
429#13063310C2314yes—
430#13063310C2314yes—
431#13063310C2314yes—
432#13063310C2314yes—
433#13063310C2314yes—
434#13063310C2314yes—
435#13063310C2312yes—
436#13063310C2312yes—
437#13063309C2314yes—
438#13063309C2314yes—
439#13063309C2314yes—
440#13063309C2312yes—
441#13063309C2314yes—
442#13063309C2314yes—
443#13063309C2314yes—
444#13063309C2314yes—
445#13063309C2314yes—
446#13063309C2314yes—
447#13063308C2314yes—
448#13063308C2314yes—
449#13063308C2312yes—
450#13063307C2314yes—
451#13063307C2314yes—
452#13063307C2312yes—
453#13063307C2314yes—
454#13063307C2314yes—
455#13063307C2314yes—
456#13063307C2312yes—
457#13063307C2314yes—
458#13063307C2312yes—
459#13063307C2314yes—
460#13063307C2314yes—
461#13063307C2314yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2312yes—
465#13063307C2312yes—
466#13063307C2312yes—
467#13063306C2314yes—
468#13063306C2312yes—
469#13063306C2312yes—
470#13063306C2312yes—
471#13063305C2312yes—
472#13063305C2312yes—
473#13063305C2312yes—
474#13063305C2312yes—
475#13063305C2314yes—
476#13063305C2314yes—
477#13063305C2314yes—
478#13063305C2314yes—
479#13063305C2314yes—
480#13063305C2314yes—
481#13063305C2311yescharacteristic
482#13063305C2311yescharacteristic
483#13063305C2312yes—
484#13063305C2311yescharacteristic
485#13063305C2312yes—
486#13063304C2311yescharacteristic
487#13063304C2312yes—
488#13063304C2311yescharacteristic
489#13063304C2314yes—
490#13063304C2312yes—
491#13063304C2312yes—
492#13063304C2311yescharacteristic
493#13063303C2314yes—
494#13063303C2314yes—
495#13063303C2314yes—
496#13063303C2314yes—
497#13063303C2314yes—
498#13063303C2312yes—
499#13063302C2314yes—
500#13063302C2314yes—
501#13063302C2314yes—
502#13063302C2314yes—
503#13063302C2312yes—
504#13063301C2311yescharacteristic
505#13063301C2314yes—
506#13063301C2314yes—
507#13063301C2312yes—
508#13063301C2312yes—
509#13063301C2314yes—
510#13063301C2314yes—
511#13063301C2312yes—
512#13063301C2312yes—
513#13063300C2312yes—
514#13063300C2312yes—
515#13063300C2312yes—
516#13063300C2314yes—
517#13063300C2311yescharacteristic
518#13063300C2312yes—
519#13063300C2312yes—
520#13063299C2314yes—
521#13063299C2312yes—
522#13063299C2312yes—
523#13063299C2312yes—
524#13063299C2314yes—
525#13063299C2312yes—
526#13063299C2314yes—
527#13063299C2312yes—
528#13063299C2311yescharacteristic
529#13063299C2312yes—
530#13063298C2314yes—
531#13063298C2314yes—
532#13063298C2314yes—
533#13063298C2314yes—
534#13063298C2314yes—
535#13063298C2314yes—
536#13063298C2314yes—
537#13063298C2312yes—
538#13063297C2314yes—
539#13063297C2314yes—
540#13063297C2314yes—
541#13063297C2314yes—
542#13063297C2314yes—
543#13063297C2314yes—
544#13063297C2314yes—
545#13063297C2314yes—
546#13063297C2314yes—
547#13063297C2312yes—
548#13063296C2314yes—
549#13063296C2311yescharacteristic
550#13063296C2314yes—
551#13063296C2312yes—
552#13063296C2314yes—
553#13063296C2314yes—
554#13063296C2312yes—
555#13063296C2311yescharacteristic
556#13063296C2311yescharacteristic
557#13063296C2312yes—
558#13063295C2314yes—
559#13063295C2314yes—
560#13063295C2314yes—
561#13063295C2314yes—
562#13063293C2314yes—
563#13063293C2314yes—
564#13063293C2314yes—
565#13063293C2314yes—
566#13063293C2314yes—
567#13063293C2312yes—
568#13063293C2312yes—
569Q8×Dic43C2312yes—
570Q8×Dic43C2312yes—
571Q8×Dic43C2312yes—
572Q8×Dic43C2312yes—
573Q8×Dic43C2314yes—
574Q8×Dic43C2312yes—
575Q8×Dic43C2312yes—
576Q8×Dic43C2314yes—
577Q8×Dic43C2311yescharacteristic
578Q8×Dic43C2312yes—
579C4×Dic86C2312yes—
580C4×Dic86C2311yescharacteristic
581C4×Dic86C2311yescharacteristic
582C4×Dic86C2311yescharacteristic
583C4×Dic86C2314yes—
584C4×Dic86C2314yes—
585C4×Dic86C2314yes—
586C4×Dic86C2312yes—
587C4×Dic86C2312yes—
588C4×Dic86C2314yes—
589#13063290C2312yes—
590#13063290C2312yes—
591#13063290C2312yes—
592#13063290C2312yes—
593#13063290C2312yes—
594#13063290C2311yescharacteristic
595#13063290C2312yes—
596#13063290C2311yescharacteristic
597#13063290C2311yescharacteristic
598#13063290C2312yes—
599#13063290C2312yes—
600C4×D172C2312yes—
601C4×D172C2311yescharacteristic
602C4×D172C2312yes—
603C4×D172C2314yes—
604C4×D172C2314yes—
605C4×D172C2314yes—
606C4×D172C2314yes—
607C4×D172C2312yes—
608C4×D172C2314yes—
609C4×D172C2312yes—
610D4×Dic43C2314yes—
611D4×Dic43C2314yes—
612D4×Dic43C2312yes—
613D4×Dic43C2312yes—
614D4×Dic43C2312yes—
615D4×Dic43C2312yes—
616D4×Dic43C2312yes—
617D4×Dic43C2312yes—
618D4×Dic43C2314yes—
619D4×Dic43C2312yes—
620D4×Dic43C2312yes—
621D4×Dic43C2311yescharacteristic
622D4×Dic43C2311yescharacteristic
623D4×Dic43C2311yescharacteristic
624D4×Dic43C2312yes—
625#13063287C2314yes—
626#13063287C2312yes—
627#13063287C2312yes—
628#13063287C2312yes—
629#13063287C2312yes—
630#13063287C2314yes—
631#13063287C2312yes—
632#13063287C2312yes—
633#13063287C2312yes—
634#13063287C2311yescharacteristic
635#13063287C2312yes—
636#13063287C2312yes—
637#13063287C2314yes—
638C4×C22⋊D43C2312yes—
639C4×C22⋊D43C2312yes—
640C4×C22⋊D43C2312yes—
641C4×C22⋊D43C2314yes—
642C4×C22⋊D43C2312yes—
643C4×C22⋊D43C2312yes—
644C4×C22⋊D43C2314yes—
645C4×C22⋊D43C2312yes—
646C4×C22⋊D43C2314yes—
647C4×C22⋊D43C2312yes—
648C4×C22⋊D43C2314yes—
649C4×C22⋊D43C2314yes—
650C4×C22⋊D43C2314yes—
651C4×C22⋊D43C2314yes—
652C4×C22⋊D43C2314yes—
653(C22⋊D43)⋊C4C2314yes—
654(C22⋊D43)⋊C4C2314yes—
655(C22⋊D43)⋊C4C2314yes—
656(C22⋊D43)⋊C4C2312yes—
657(C22⋊D43)⋊C4C2314yes—
658(C22⋊D43)⋊C4C2314yes—
659(C22⋊D43)⋊C4C2314yes—
660(C22⋊D43)⋊C4C2314yes—
661(C22⋊D43)⋊C4C2312yes—
662(C22⋊D43)⋊C4C2312yes—
663(C22⋊D43)⋊C4C2312yes—
664(C22⋊D43)⋊C4C2312yes—
665(C22⋊D43)⋊C4C2312yes—
666(C22⋊D43)⋊C4C2312yes—
667(C22⋊D43)⋊C4C2314yes—
668#13063284C2314yes—
669#13063284C2314yes—
670#13063284C2314yes—
671#13063284C2312yes—
672#13063284C2312yes—
673#13063284C2312yes—
674#13063284C2312yes—
675#13063284C2312yes—
676#13063283C2312yes—
677#13063283C2312yes—
678#13063283C2314yes—
679#13063283C2314yes—
680#13063283C2314yes—
681#13063283C2314yes—
682#13063283C2312yes—
683#13063283C2314yes—
684#13063283C2314yes—
685#13063283C2312yes—
686#13063283C2314yes—
687#13063283C2312yes—
688#13063283C2311yescharacteristic
689#13063283C2312yes—
690#13063283C2311yescharacteristic
691#13063282C2314yes—
692#13063282C2314yes—
693#13063282C2312yes—
694#13063282C2312yes—
695#13063281C2312yes—
696#13063281C2314yes—
697#13063281C2314yes—
698#13063281C2312yes—
699#13063281C2312yes—
700#13063281C2312yes—
701#13063281C2312yes—
702#13063281C2314yes—
703#13063281C2312yes—
704C2×C4⋊Dic43C2312yes—
705C2×C4⋊Dic43C2314yes—
706C2×C4⋊Dic43C2314yes—
707C2×Dic43⋊C4C2314yes—
708C4⋊C4×D43C2314yes—
709C4⋊C4×D43C2311yescharacteristic
710C4⋊C4×D43C2312yes—
711C4⋊C4×D43C2314yes—
712C4⋊C4×D43C2312yes—
713C4⋊C4×D43C2312yes—
714C4⋊C4×D43C2314yes—
715C4⋊C4×D43C2311yescharacteristic
716C4⋊C4×D43C2312yes—
717C4⋊C4×D43C2312yes—
718C2×(C2×D43)⋊C4C2314yes—
719C2×(C2×D43)⋊C4C2314yes—
720C2×(C2×D43)⋊C4C2314yes—
721C22⋊C4×D43C2314yes—
722C22⋊C4×D43C2312yes—
723C22⋊C4×D43C2314yes—
724C22⋊C4×D43C2314yes—
725C22⋊C4×D43C2312yes—
726C22⋊C4×D43C2312yes—
727C22⋊C4×D43C2314yes—
728C22⋊C4×D43C2312yes—
729C22⋊C4×D43C2312yes—
730C2×C4×Dic43C2311yescharacteristic
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2312yes—
734C2×C4×Dic43C2312yes—
735C42×D43C2311yescharacteristic
736C42×D43C2311yescharacteristic
737C42×D43C2311yescharacteristic
738C42×D43C2311yescharacteristic
739C42×D43C2311yescharacteristic
740C42×D43C2311yescharacteristic
741C42×D43C2311yescharacteristic
742C42×D43C2311yescharacteristic
743C42×D43C2312yes—
744C42×D43C2314yes—
745C2×#41×C43C2312yes—
746C2×#41×C43C2312yes—
747C22×Q8×C43C2312yes—
748C4⋊Q8×C43C2311yescharacteristic
749C4⋊Q8×C43C2311yescharacteristic
750C4⋊Q8×C43C2311yescharacteristic
751C4⋊Q8×C43C2314yes—
752C4⋊Q8×C43C2312yes—
753#127×C43C2311yescharacteristic
754#126×C43C2314yes—
755#126×C43C2312yes—
756#125×C43C2311yescharacteristic
757#125×C43C2314yes—
758#125×C43C2312yes—
759#125×C43C2312yes—
760#124×C43C2311yescharacteristic
761#124×C43C2312yes—
762#124×C43C2314yes—
763#124×C43C2314yes—
764#124×C43C2314yes—
765#123×C43C2314yes—
766#123×C43C2314yes—
767#123×C43C2314yes—
768#123×C43C2314yes—
769#123×C43C2312yes—
770C22⋊Q8×C43C2312yes—
771C22⋊Q8×C43C2314yes—
772C22⋊Q8×C43C2314yes—
773C22⋊Q8×C43C2314yes—
774C22⋊Q8×C43C2312yes—
775C22⋊Q8×C43C2311yescharacteristic
776C22⋊Q8×C43C2312yes—
777C22⋊Q8×C43C2312yes—
778C22⋊Q8×C43C2312yes—
779C22⋊Q8×C43C2314yes—
780#121×C43C2312yes—
781#121×C43C2312yes—
782#121×C43C2311yescharacteristic
783#121×C43C2311yescharacteristic
784#121×C43C2311yescharacteristic
785#121×C43C2312yes—
786#121×C43C2314yes—
787#121×C43C2314yes—
788#121×C43C2314yes—
789#121×C43C2312yes—
790#121×C43C2314yes—
791C4×Q8×C43C2311yescharacteristic
792C4×Q8×C43C2312yes—
793C4×Q8×C43C2312yes—
794C4×D4×C43C2311yescharacteristic
795C4×D4×C43C2312yes—
796C4×D4×C43C2312yes—
797C4×D4×C43C2311yescharacteristic
798C4×D4×C43C2314yes—
799C4×D4×C43C2312yes—
800C4×D4×C43C2311yescharacteristic
801C4×D4×C43C2312yes—
802#117×C43C2314yes—
803#117×C43C2312yes—
804#117×C43C2312yes—
805#117×C43C2312yes—
806#117×C43C2312yes—
807C2×C4⋊C4×C43C2312yes—
808C2×C4⋊C4×C43C2312yes—
809C2×C42×C43C2311yescharacteristic
810C23×D43C2412yes—
811C23×D43C2411yescharacteristic
812C23×D43C2414yes—
813#41×C43—44no—
814#41×C43—44no—
815C2×Q8×C43—44no—
816C2×Q8×C43C2411yescharacteristic
817C2×Q8×C43C2412yes—
818C2×Q8×C43C2412yes—
819C2×Q8×C43C2414yes—
820C2×Q8×C43C2412yes—
821C2×D4×C43C2411yescharacteristic
822C2×D4×C43C2411yescharacteristic
823C2×D4×C43C2411yescharacteristic
824C2×D4×C43C2412yes—
825C2×D4×C43C2414yes—
826C2×D4×C43C2412yes—
827C2×D4×C43C2412yes—
828C2×D4×C43C2414yes—
829C2×D4×C43C2412yes—
830C2×D4×C43C2412yes—
831C22×C4×C43C2411yescharacteristic
832C22×C4×C43C2411yescharacteristic
833C22×C4×C43C2412yes—
834C22×C4×C43C2412yes—
835C22×C4×C43C2412yes—
836C22×C4×C43C2411yescharacteristic
837C22×C4×C43C2414yes—
838C22×C4×C43C2414yes—
839C22×C4×C43C2414yes—
840C2×C22⋊D43C2412yes—
841C2×C22⋊D43C2412yes—
842C2×C22⋊D43C2414yes—
843C2×C22⋊D43C2414yes—
844C2×C22⋊D43C2414yes—
845C2×C22⋊D43C2412yes—
846C2×C22⋊D43C2412yes—
847C2×C22⋊D43C2412yes—
848C2×C22⋊D43C2412yes—
849C2×C22⋊D43C2414yes—
850C2×C22⋊D43C2414yes—
851C2×C22⋊D43C2412yes—
852C2×C22⋊D43C2414yes—
853C2×C22⋊D43C2414yes—
854C22×Dic43C2411yescharacteristic
855C22×Dic43C2411yescharacteristic
856C22×Dic43C2411yescharacteristic
857C22×Dic43C2412yes—
858C22×Dic43C2412yes—
859C22×Dic43C2412yes—
860C22×Dic43C2412yes—
861C22×Dic43C2414yes—
862C22×Dic43C2414yes—
863C22×Dic43C2412yes—
864#10621902—44no—
865#10621902—44no—
866Q8×D43—42no—
867#10621900—42no—
868#10621900—44no—
869#10621900—42no—
870#10621900—44no—
871D4×D43—44no—
872D4×D43—48no—
873D4×D43—42no—
874D4×D43—44no—
875#10621898—44no—
876#10621898—44no—
877#10621898—44no—
878#10621898—48no—
879C2×D172—44no—
880C2×D172C2411yescharacteristic
881C2×D172C2412yes—
882C2×D172C2412yes—
883C2×D172C2414yes—
884C2×D172C2412yes—
885C2×D172C2412yes—
886C2×D172C2414yes—
887C2×D172C2414yes—
888C2×C4×D43—42no—
889C2×C4×D43—42no—
890C2×C4×D43—42no—
891C2×C4×D43—44no—
892C2×C4×D43C2411yescharacteristic
893C2×C4×D43C2411yescharacteristic
894C2×C4×D43C2411yescharacteristic
895C2×C4×D43C2411yescharacteristic
896C2×C4×D43C2411yescharacteristic
897C2×C4×D43C2411yescharacteristic
898C2×C4×D43C2412yes—
899C2×C4×D43C2412yes—
900C2×C4×D43C2411yescharacteristic
901C2×C4×D43C2411yescharacteristic
902C2×C4×D43C2411yescharacteristic
903C2×C4×D43C2411yescharacteristic
904C2×C4×D43C2411yescharacteristic
905C2×C4×D43C2411yescharacteristic
906C2×C4×D43C2412yes—
907C2×C4×D43C2414yes—
908C2×C4×D43C2414yes—
909C2×C4×D43C2414yes—
910C2×C4×D43C2412yes—
911C2×C4×D43C2412yes—
912C2×C4×D43C2414yes—
913C2×C4×D43C2414yes—
914C2×C4×D43C2414yes—
915C2×C4×D43C2414yes—
916C2×Dic86—44no—
917C2×Dic86C2411yescharacteristic
918C2×Dic86C2411yescharacteristic
919C2×Dic86C2412yes—
920C2×Dic86C2411yescharacteristic
921C2×Dic86C2412yes—
922C2×Dic86C2412yes—
923C2×Dic86C2414yes—
924C2×Dic86C2414yes—
925C4⋊C4×C43C2411yescharacteristic
926C4⋊C4×C43C2411yescharacteristic
927C4⋊C4×C43C2412yes—
928C4⋊C4×C43C2412yes—
929C4⋊C4×C43C2414yes—
930C4⋊C4×C43C2414yes—
931C4⋊C4×C43C2412yes—
932C4⋊C4×C43C2411yescharacteristic
933C4⋊C4×C43C2411yescharacteristic
934C4⋊C4×C43C2412yes—
935C4⋊C4×C43C2414yes—
936C4⋊C4×C43C2412yes—
937C4⋊C4×C43C2412yes—
938C4⋊C4×C43C2412yes—
939C4⋊C4×C43C2414yes—
940C4⋊C4×C43C2414yes—
941C4⋊C4×C43C2414yes—
942C4⋊C4×C43C2412yes—
943C4⋊C4×C43C2412yes—
944C22⋊C4×C43C2412yes—
945C22⋊C4×C43C2412yes—
946C22⋊C4×C43C2412yes—
947C22⋊C4×C43C2414yes—
948C22⋊C4×C43C2414yes—
949C22⋊C4×C43C2414yes—
950C22⋊C4×C43C2414yes—
951C22⋊C4×C43C2412yes—
952C22⋊C4×C43C2412yes—
953C22⋊C4×C43C2414yes—
954C22⋊C4×C43C2412yes—
955C22⋊C4×C43C2414yes—
956C22⋊C4×C43C2412yes—
957C22⋊C4×C43C2412yes—
958C22⋊C4×C43C2412yes—
959C42×C43C2411yescharacteristic
960C42×C43C2411yescharacteristic
961C42×C43C2411yescharacteristic
962C42×C43C2411yescharacteristic
963C42×C43C2414yes—
964C42×C43C2414yes—
965C42×C43C2412yes—
966C22⋊Dic43C2412yes—
967C22⋊Dic43C2412yes—
968C22⋊Dic43C2412yes—
969C22⋊Dic43C2412yes—
970C22⋊Dic43C2412yes—
971C22⋊Dic43C2412yes—
972C22⋊Dic43C2412yes—
973C22⋊Dic43C2414yes—
974C22⋊Dic43C2412yes—
975C22⋊Dic43C2412yes—
976C22⋊Dic43C2412yes—
977C22⋊Dic43C2412yes—
978C22⋊Dic43C2414yes—
979C22⋊Dic43C2412yes—
980C22⋊Dic43C2412yes—
981C22⋊Dic43C2412yes—
982C22⋊Dic43C2414yes—
983C22⋊Dic43C2412yes—
984(C2×D43)⋊C4C2412yes—
985(C2×D43)⋊C4C2412yes—
986(C2×D43)⋊C4C2412yes—
987(C2×D43)⋊C4C2412yes—
988(C2×D43)⋊C4C2412yes—
989(C2×D43)⋊C4C2414yes—
990(C2×D43)⋊C4C2414yes—
991(C2×D43)⋊C4C2412yes—
992(C2×D43)⋊C4C2412yes—
993(C2×D43)⋊C4C2414yes—
994(C2×D43)⋊C4C2412yes—
995(C2×D43)⋊C4C2412yes—
996(C2×D43)⋊C4C2412yes—
997(C2×D43)⋊C4C2414yes—
998(C2×D43)⋊C4C2414yes—
999(C2×D43)⋊C4C2414yes—
1000(C2×D43)⋊C4C2412yes—
1001(C2×D43)⋊C4C2414yes—
1002(C2×D43)⋊C4C2414yes—
1003(C2×D43)⋊C4C2414yes—
1004(C2×D43)⋊C4C2414yes—
1005(C2×D43)⋊C4C2414yes—
1006(C2×D43)⋊C4C2414yes—
1007(C2×D43)⋊C4C2412yes—
1008(C2×D43)⋊C4C2412yes—
1009(C2×D43)⋊C4C2412yes—
1010(C2×D43)⋊C4C2414yes—
1011(C2×D43)⋊C4C2414yes—
1012(C2×D43)⋊C4C2414yes—
1013(C2×D43)⋊C4C2414yes—
1014(C2×D43)⋊C4C2414yes—
1015(C2×D43)⋊C4C2414yes—
1016C4⋊Dic43C2412yes—
1017C4⋊Dic43C2411yescharacteristic
1018C4⋊Dic43C2412yes—
1019C4⋊Dic43C2412yes—
1020C4⋊Dic43C2411yescharacteristic
1021C4⋊Dic43C2414yes—
1022C4⋊Dic43C2412yes—
1023C4⋊Dic43C2411yescharacteristic
1024C4⋊Dic43C2412yes—
1025C4⋊Dic43C2412yes—
1026C4⋊Dic43C2414yes—
1027C4⋊Dic43C2414yes—
1028C4⋊Dic43C2412yes—
1029C4⋊Dic43C2414yes—
1030C4⋊Dic43C2414yes—
1031C4⋊Dic43C2414yes—
1032C4⋊Dic43C2411yescharacteristic
1033C4⋊Dic43C2412yes—
1034C4⋊Dic43C2412yes—
1035C4⋊Dic43C2412yes—
1036C4⋊Dic43C2412yes—
1037C4⋊Dic43C2412yes—
1038C4⋊Dic43C2412yes—
1039C4⋊Dic43C2414yes—
1040C4⋊Dic43C2414yes—
1041Dic43⋊C4C2412yes—
1042Dic43⋊C4C2412yes—
1043Dic43⋊C4C2412yes—
1044Dic43⋊C4C2412yes—
1045Dic43⋊C4C2414yes—
1046Dic43⋊C4C2412yes—
1047Dic43⋊C4C2412yes—
1048Dic43⋊C4C2412yes—
1049Dic43⋊C4C2412yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2412yes—
1052Dic43⋊C4C2414yes—
1053Dic43⋊C4C2414yes—
1054Dic43⋊C4C2414yes—
1055Dic43⋊C4C2412yes—
1056Dic43⋊C4C2412yes—
1057Dic43⋊C4C2414yes—
1058Dic43⋊C4C2414yes—
1059Dic43⋊C4C2412yes—
1060Dic43⋊C4C2412yes—
1061Dic43⋊C4C2412yes—
1062Dic43⋊C4C2412yes—
1063Dic43⋊C4C2412yes—
1064Dic43⋊C4C2412yes—
1065Dic43⋊C4C2414yes—
1066Dic43⋊C4C2414yes—
1067Dic43⋊C4C2414yes—
1068Dic43⋊C4C2414yes—
1069C4×Dic43C2411yescharacteristic
1070C4×Dic43C2411yescharacteristic
1071C4×Dic43C2411yescharacteristic
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2411yescharacteristic
1075C4×Dic43C2411yescharacteristic
1076C4×Dic43C2411yescharacteristic
1077C4×Dic43C2411yescharacteristic
1078C4×Dic43C2411yescharacteristic
1079C4×Dic43C2411yescharacteristic
1080C4×Dic43C2411yescharacteristic
1081C4×Dic43C2414yes—
1082C4×Dic43C2412yes—
1083C4×Dic43C2412yes—
1084C4×Dic43C2412yes—
1085C4×Dic43C2414yes—
1086C4×Dic43C2412yes—
1087C4×Dic43C2412yes—
1088C4×Dic43C2412yes—
1089C4×Dic43C2412yes—
1090C4×Dic43C2412yes—
1091C4×Dic43C2412yes—
1092C4×Dic43C2414yes—
1093C4×Dic43C2414yes—
1094C4×Dic43C2414yes—
1095C4×Dic43C2414yes—
1096C4×Dic43C2414yes—
1097C23×C43C2512yes—
1098C23×C43C2511yescharacteristic
1099C23×C43C2512yes—
1100C23×C43C2512yes—
1101C22×D43—22no—
1102C22×D43—24no—
1103C22×D43—41no—
1104C22×D43—41no—
1105C22×D43—42no—
1106C22×D43—42no—
1107C22×D43—44no—
1108C22×D43—44no—
1109C22×D43—44no—
1110C22×D43C2512yes—
1111C22×D43C2511yescharacteristic
1112C22×D43C2514yes—
1113C22×D43C2511yescharacteristic
1114Q8×C43—22no—
1115Q8×C43—24no—
1116Q8×C43—42no—
1117Q8×C43—44no—
1118Q8×C43—42no—
1119D4×C43—22no—
1120D4×C43—22no—
1121D4×C43—22no—
1122D4×C43—44no—
1123D4×C43—42no—
1124D4×C43—42no—
1125D4×C43—42no—
1126D4×C43—42no—
1127D4×C43—44no—
1128D4×C43—42no—
1129C2×C4×C43—24no—
1130C2×C4×C43—22no—
1131C2×C4×C43—22no—
1132C2×C4×C43—24no—
1133C2×C4×C43—24no—
1134C2×C4×C43—41no—
1135C2×C4×C43—44no—
1136C2×C4×C43—44no—
1137C2×C4×C43—44no—
1138C2×C4×C43C2512yes—
1139C2×C4×C43C2514yes—
1140C2×C4×C43C2512yes—
1141C2×C4×C43C2511yescharacteristic
1142C2×C4×C43C2511yescharacteristic
1143C2×C4×C43C2514yes—
1144C2×C4×C43C2511yescharacteristic
1145C2×C4×C43C2512yes—
1146C2×C4×C43C2511yescharacteristic
1147C2×C4×C43C2512yes—
1148C2×C4×C43C2512yes—
1149C2×C4×C43C2511yescharacteristic
1150C2×C4×C43C2511yescharacteristic
1151C22⋊D43—24no—
1152C22⋊D43—24no—
1153C22⋊D43—44no—
1154C22⋊D43—44no—
1155C22⋊D43—44no—
1156C22⋊D43—44no—
1157C22⋊D43—42no—
1158C22⋊D43—42no—
1159C22⋊D43—42no—
1160C22⋊D43—44no—
1161C22⋊D43—44no—
1162C22⋊D43—42no—
1163C22⋊D43—44no—
1164C22⋊D43—42no—
1165C2×Dic43—44no—
1166C2×Dic43—41no—
1167C2×Dic43—41no—
1168C2×Dic43—41no—
1169C2×Dic43—42no—
1170C2×Dic43—42no—
1171C2×Dic43—44no—
1172C2×Dic43—42no—
1173C2×Dic43—42no—
1174C2×Dic43—42no—
1175C2×Dic43C2511yescharacteristic
1176C2×Dic43C2511yescharacteristic
1177C2×Dic43C2511yescharacteristic
1178C2×Dic43C2511yescharacteristic
1179C2×Dic43C2511yescharacteristic
1180C2×Dic43C2512yes—
1181C2×Dic43C2511yescharacteristic
1182C2×Dic43C2512yes—
1183C2×Dic43C2512yes—
1184C2×Dic43C2512yes—
1185C2×Dic43C2512yes—
1186C2×Dic43C2514yes—
1187C2×Dic43C2512yes—
1188C2×Dic43C2512yes—
1189D172—28no—
1190D172—22no—
1191D172—24no—
1192D172—24no—
1193D172—44no—
1194D172—42no—
1195D172—42no—
1196D172—44no—
1197C4×D43—22no—
1198C4×D43—22no—
1199C4×D43—24no—
1200C4×D43—22no—
1201C4×D43—24no—
1202C4×D43—22no—
1203C4×D43—22no—
1204C4×D43—22no—
1205C4×D43—41no—
1206C4×D43—41no—
1207C4×D43—41no—
1208C4×D43—42no—
1209C4×D43—41no—
1210C4×D43—41no—
1211C4×D43—41no—
1212C4×D43—42no—
1213C4×D43—44no—
1214C4×D43—44no—
1215C4×D43—44no—
1216C4×D43—44no—
1217C4×D43—44no—
1218C4×D43—42no—
1219C4×D43—44no—
1220C4×D43—44no—
1221Dic86—22no—
1222Dic86—24no—
1223Dic86—22no—
1224Dic86—22no—
1225Dic86—44no—
1226Dic86—44no—
1227Dic86—42no—
1228Dic86—42no—
1229#62827—431nomaximal, Sylow
1230C22×C43—21no—
1231C22×C43—22no—
1232C22×C43—22no—
1233C22×C43—22no—
1234C22×C43—22no—
1235C22×C43—22no—
1236C22×C43—21no—
1237C22×C43—21no—
1238C22×C43—22no—
1239C22×C43—22no—
1240C22×C43—22no—
1241C22×C43—22no—
1242C22×C43C2611yescharacteristic
1243C2×D43—21no—
1244C2×D43—21no—
1245C2×D43—22no—
1246C2×D43—21no—
1247C2×D43—22no—
1248C2×D43—22no—
1249C2×D43—21no—
1250C2×D43—21no—
1251C2×D43—24no—
1252C2×D43—24no—
1253C2×D43—24no—
1254C2×D43—44no—
1255C2×D43—84no—
1256C2×D43—164no—
1257C2×D43#58512yes—
1258C4×C43—21no—
1259C4×C43—22no—
1260C4×C43—24no—
1261C4×C43—22no—
1262C4×C43—22no—
1263C4×C43—21no—
1264C4×C43—21no—
1265C4×C43—22no—
1266C4×C43—21no—
1267C4×C43—24no—
1268C4×C43—22no—
1269C4×C43#58512yes—
1270C4×C43#58512yes—
1271Dic43—22no—
1272Dic43—22no—
1273Dic43—24no—
1274Dic43—22no—
1275Dic43—22no—
1276Dic43—21no—
1277Dic43—22no—
1278Dic43—22no—
1279Dic43—21no—
1280Dic43—21no—
1281Dic43—21no—
1282Dic43—21no—
1283Dic43—21no—
1284Dic43—22no—
1285#3566—434no—
1286#3566—434no—
1287#3565—432no—
1288#3562—432no—
1289#3555—431no—
1290#3554—431no—
1291#3547D4311yescharacteristic, complemented
1292#3546—431no—
1293#3542—432no—
1294#3541—432no—
1295#3533—434no—
1296#3524—432no—
1297#3524—432no—
1298#3523—431no—
1299#3522—431no—
1300#3521—432no—
1301#3521—432no—
1302#3521—434no—
1303#3520—431no—
1304#3519—431no—
1305#3518—431no—
1306#3517—431no—
1307#3515—431no—
1308#3515—432no—
1309#3514—431no—
1310#3514—432no—
1311#3512—432no—
1312#3510—432no—
1313#3506—432no—
1314#3505—432no—
1315#3495—432no—
1316#3494—432no—
1317#3444—431no—
1318#3444—431no—
1319C2×#529—431no—
1320C2×C43—41no—
1321C2×C43—42no—
1322C2×C43—42no—
1323C2×C43—42no—
1324C2×C43C2×#58511yescharacteristic
1325C2×C43C2×#58511yescharacteristic
1326C2×C43C2×#58511yescharacteristic
1327D43—22no—
1328D43—41no—
1329D43—42no—
1330D43—44no—
1331#563—434no—
1332#563—434no—
1333#562—434no—
1334#562—434no—
1335#562—434no—
1336#562C2×D4314yescomplemented
1337#560—434no—
1338#560—434no—
1339#559—434no—
1340#559—434no—
1341#559—434no—
1342#559—432no—
1343#559—431no—
1344#559—432no—
1345Q82—431no—
1346#557—431no—
1347#557—432no—
1348#557—432no—
1349#557—431no—
1350#556—434no—
1351#556—434no—
1352#556—431no—
1353#556—434no—
1354#556—432no—
1355#556—431no—
1356#556—432no—
1357#556—432no—
1358#556—432no—
1359#556—432no—
1360#555—432no—
1361#555—434no—
1362#555—434no—
1363#555—432no—
1364#555C2×D4312yescomplemented
1365#555C2×D4311yescharacteristic, complemented
1366#554—434no—
1367#554—431no—
1368#554—432no—
1369#554—432no—
1370#554—432no—
1371#554C2×D4311yescharacteristic, complemented
1372#553—434no—
1373#553—434no—
1374#553—434no—
1375#553—434no—
1376#553—434no—
1377#553—434no—
1378#553—434no—
1379#553—434no—
1380#553—434no—
1381#553—432no—
1382#553—432no—
1383#553—434no—
1384#553—432no—
1385#553—432no—
1386#553—432no—
1387#553C2×D4312yescomplemented
1388#552—434no—
1389#552—434no—
1390#552—434no—
1391#552—432no—
1392#552—434no—
1393#552—432no—
1394#552—434no—
1395#552—434no—
1396#552—434no—
1397#552—434no—
1398#552—432no—
1399#552—434no—
1400#552—432no—
1401#552—432no—
1402#552C2×D4312yescomplemented
1403#551—434no—
1404#551—434no—
1405#551—434no—
1406#551—434no—
1407#551—434no—
1408#551—434no—
1409#551—434no—
1410#551—434no—
1411#551—434no—
1412#551—434no—
1413#551—434no—
1414#550—432no—
1415#550—432no—
1416#550—432no—
1417#550—431no—
1418#550—431no—
1419D4×Q8—432no—
1420D4×Q8—431no—
1421D4×Q8C2×D4311yescharacteristic, complemented
1422#548—432no—
1423#548—432no—
1424#548—432no—
1425#548—432no—
1426#548—432no—
1427#548C2×D4312yescomplemented
1428#547—434no—
1429#547—432no—
1430#547—434no—
1431#547—432no—
1432#547—431no—
1433#547—432no—
1434#547—432no—
1435#547C2×D4311yescharacteristic, complemented
1436#546—432no—
1437#546—434no—
1438#546—432no—
1439#546—434no—
1440#546—434no—
1441#546—432no—
1442#546—432no—
1443#546—432no—
1444#546—432no—
1445D42—432no—
1446D42—431no—
1447#544—432no—
1448#544C2×D4312yescomplemented
1449#542—432no—
1450#542—432no—
1451#542—434no—
1452#542—434no—
1453#542—432no—
1454#542—432no—
1455#542—432no—
1456#542—432no—
1457#542—434no—
1458#542—434no—
1459#542—434no—
1460#542—432no—
1461#542—432no—
1462#542C2×D4314yescomplemented
1463#541—432no—
1464#541—432no—
1465#541—434no—
1466#541—432no—
1467#541—432no—
1468#541—434no—
1469#541—434no—
1470#540—434no—
1471#540—432no—
1472#540—432no—
1473#540—432no—
1474#540—434no—
1475#540—434no—
1476#540C2×D4312yescomplemented
1477#539—434no—
1478#539—434no—
1479#539—434no—
1480#539—434no—
1481#539—434no—
1482#539—434no—
1483#539—434no—
1484#538—434no—
1485#538—434no—
1486#538—434no—
1487#538—434no—
1488#538—434no—
1489#538—434no—
1490#538—434no—
1491#538—434no—
1492#538—434no—
1493#537—432no—
1494#537C2×D4312yescomplemented
1495#536—432no—
1496#536C2×D4312yescomplemented
1497#535—432no—
1498#535—432no—
1499#535—434no—
1500#534—434no—
1501#533—431no—
1502#533—431no—
1503#533—431no—
1504#533—431no—
1505#533—432no—
1506#533—432no—
1507#533—431no—
1508#533C2×D4311yescharacteristic, complemented
1509#532—432no—
1510#532—431no—
1511#532—431no—
1512#532—431no—
1513#532—431no—
1514#532—432no—
1515#532—431no—
1516#532C2×D4311yescharacteristic, complemented
1517#529—432no—
1518#529—431no—
1519#529—432no—
1520#529—432no—
1521#529—432no—
1522#529—431no—
1523#529—432no—
1524#529—432no—
1525#529—434no—
1526#529—432no—
1527#529—431no—
1528#529—432no—
1529#529—432no—
1530#529—432no—
1531#529—432no—
1532#529—432no—
1533#529—431no—
1534#529—431no—
1535#529—431no—
1536#529—432no—
1537#529—432no—
1538#529—431no—
1539#529—432no—
1540#529—432no—
1541#529—432no—
1542#529—431no—
1543#529—431no—
1544#529—431no—
1545#529—432no—
1546#529—432no—
1547#529—434no—
1548#529—432no—
1549#529—434no—
1550#529—431no—
1551#529C2×D4311yescharacteristic, complemented
1552C2×#126—432no—
1553C2×#126—434no—
1554C2×#125—431no—
1555C2×#125—432no—
1556C2×#124—432no—
1557C2×#124—431no—
1558#525—432no—
1559#525—432no—
1560#525—432no—
1561#525—431no—
1562#525—431no—
1563#525—432no—
1564#525—432no—
1565#525—432no—
1566#525—432no—
1567C2×#123—432no—
1568C2×C22⋊Q8—431no—
1569C2×C22⋊Q8—432no—
1570C2×#121—431no—
1571C2×#121—432no—
1572#520—432no—
1573#520—432no—
1574#520—434no—
1575#520—432no—
1576#520—432no—
1577#519—432no—
1578#519—432no—
1579#518—432no—
1580#518—434no—
1581#518—432no—
1582C4×#41—432no—
1583C4×#41—432no—
1584C4×#41—432no—
1585C4×#41—432no—
1586C4×#41—431no—
1587C4×#41—431no—
1588C4×#41—432no—
1589C2×C4×Q8—431no—
1590C2×C4×D4—431no—
1591C2×C4×D4—432no—
1592C2×#117—432no—
1593C22×C42—431no—
1594C43#6282711yescharacteristic, complemented, Sylow
1595C2×#41—432no—
1596C2×#41—432no—
1597C2×#41—432no—
1598C2×#41—431no—
1599C2×#41—431no—
1600C2×#41—432no—
1601C2×#41—432no—
1602C2×#41—432no—
1603C2×#41—434no—
1604C2×#41—432no—
1605C2×#41C22×D4312yes—
1606C2×#41C22×D4312yes—
1607C22×Q8—431no—
1608C22×Q8—432no—
1609C22×Q8C22×D4312yes—
1610C22×D4—432no—
1611C22×D4—431no—
1612C22×D4—434no—
1613C22×D4—432no—
1614C22×D4—432no—
1615C23×C4—432no—
1616C23×C4—431no—
1617C23×C4—431no—
1618C23×C4—431no—
1619C4⋊Q8—432no—
1620C4⋊Q8—434no—
1621C4⋊Q8—434no—
1622C4⋊Q8—432no—
1623C4⋊Q8—432no—
1624C4⋊Q8—432no—
1625C4⋊Q8—434no—
1626C4⋊Q8—431no—
1627C4⋊Q8—431no—
1628C4⋊Q8—431no—
1629C4⋊Q8—432no—
1630C4⋊Q8C22×D4311yescharacteristic
1631C4⋊Q8C22×D4311yescharacteristic
1632C4⋊Q8C22×D4311yescharacteristic
1633C4⋊Q8C22×D4312yes—
1634C4⋊Q8C22×D4314yes—
1635#127—432no—
1636#127—432no—
1637#127—434no—
1638#127—434no—
1639#127—431no—
1640#127C22×D4311yescharacteristic
1641#126—432no—
1642#126—432no—
1643#126—432no—
1644#126—434no—
1645#126—434no—
1646#126—434no—
1647#126—434no—
1648#126—434no—
1649#126—434no—
1650#126—434no—
1651#126—434no—
1652#126—434no—
1653#126—434no—
1654#126—434no—
1655#126—434no—
1656#126—434no—
1657#126—434no—
1658#126—432no—
1659#126—432no—
1660#126—432no—
1661#126—432no—
1662#126—434no—
1663#126—434no—
1664#126—432no—
1665#126—432no—
1666#126—432no—
1667#126—434no—
1668#126—434no—
1669#126—434no—
1670#126—434no—
1671#126—434no—
1672#126—434no—
1673#126—432no—
1674#126—434no—
1675#126—434no—
1676#126—434no—
1677#126C22×D4312yes—
1678#126C22×D4314yes—
1679#125—431no—
1680#125—431no—
1681#125—432no—
1682#125—432no—
1683#125—432no—
1684#125—434no—
1685#125—434no—
1686#125—432no—
1687#125—432no—
1688#125—432no—
1689#125—432no—
1690#125—431no—
1691#125—431no—
1692#125—434no—
1693#125—434no—
1694#125—432no—
1695#125—434no—
1696#125—434no—
1697#125—434no—
1698#125—434no—
1699#125—434no—
1700#125—434no—
1701#125—434no—
1702#125—434no—
1703#125—431no—
1704#125—432no—
1705#125—434no—
1706#125C22×D4311yescharacteristic
1707#125C22×D4312yes—
1708#125C22×D4312yes—
1709#125C22×D4314yes—
1710#124—431no—
1711#124—432no—
1712#124—434no—
1713#124—434no—
1714#124—432no—
1715#124—432no—
1716#124—432no—
1717#124—434no—
1718#124—434no—
1719#124—431no—
1720#124—431no—
1721#124—431no—
1722#124—432no—
1723#124—432no—
1724#124—434no—
1725#124—432no—
1726#124—432no—
1727#124—434no—
1728#124—434no—
1729#124—434no—
1730#124—434no—
1731#124—434no—
1732#124—434no—
1733#124—434no—
1734#124—434no—
1735#124—431no—
1736#124—432no—
1737#124—432no—
1738#124C22×D4311yescharacteristic
1739#124C22×D4312yes—
1740#124C22×D4314yes—
1741#124C22×D4314yes—
1742#124C22×D4314yes—
1743#123—432no—
1744#123—432no—
1745#123—432no—
1746#123—434no—
1747#123—432no—
1748#123—434no—
1749#123—434no—
1750#123—432no—
1751#123—432no—
1752#123—434no—
1753#123—434no—
1754#123—434no—
1755#123—434no—
1756#123—434no—
1757#123—434no—
1758#123—434no—
1759#123—434no—
1760#123—432no—
1761#123—432no—
1762#123—432no—
1763#123—432no—
1764#123—432no—
1765#123—432no—
1766#123—434no—
1767#123—432no—
1768#123—434no—
1769#123—434no—
1770#123—434no—
1771#123—434no—
1772#123—434no—
1773#123—434no—
1774#123—434no—
1775#123—434no—
1776#123—434no—
1777#123—434no—
1778#123—434no—
1779#123—434no—
1780#123—434no—
1781#123—434no—
1782#123—434no—
1783#123—434no—
1784#123—434no—
1785#123—434no—
1786#123—434no—
1787#123C22×D4312yes—
1788#123C22×D4314yes—
1789#123C22×D4314yes—
1790#123C22×D4314yes—
1791#123C22×D4314yes—
1792C22⋊Q8—431no—
1793C22⋊Q8—432no—
1794C22⋊Q8—432no—
1795C22⋊Q8—432no—
1796C22⋊Q8—432no—
1797C22⋊Q8—434no—
1798C22⋊Q8—434no—
1799C22⋊Q8—434no—
1800C22⋊Q8—434no—
1801C22⋊Q8—431no—
1802C22⋊Q8—431no—
1803C22⋊Q8—431no—
1804C22⋊Q8—432no—
1805C22⋊Q8—432no—
1806C22⋊Q8—432no—
1807C22⋊Q8—434no—
1808C22⋊Q8—431no—
1809C22⋊Q8—432no—
1810C22⋊Q8—431no—
1811C22⋊Q8—432no—
1812C22⋊Q8—434no—
1813C22⋊Q8—434no—
1814C22⋊Q8—432no—
1815C22⋊Q8—432no—
1816C22⋊Q8—431no—
1817C22⋊Q8—432no—
1818C22⋊Q8—432no—
1819C22⋊Q8—432no—
1820C22⋊Q8—434no—
1821C22⋊Q8—434no—
1822C22⋊Q8—434no—
1823C22⋊Q8—434no—
1824C22⋊Q8—434no—
1825C22⋊Q8—434no—
1826C22⋊Q8—434no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—432no—
1830C22⋊Q8—434no—
1831C22⋊Q8—434no—
1832C22⋊Q8—434no—
1833C22⋊Q8—434no—
1834C22⋊Q8C22×D4311yescharacteristic
1835C22⋊Q8C22×D4312yes—
1836C22⋊Q8C22×D4312yes—
1837C22⋊Q8C22×D4312yes—
1838C22⋊Q8C22×D4312yes—
1839C22⋊Q8C22×D4312yes—
1840C22⋊Q8C22×D4314yes—
1841C22⋊Q8C22×D4314yes—
1842C22⋊Q8C22×D4314yes—
1843C22⋊Q8C22×D4314yes—
1844#121—431no—
1845#121—432no—
1846#121—431no—
1847#121—434no—
1848#121—431no—
1849#121—432no—
1850#121—432no—
1851#121—432no—
1852#121—434no—
1853#121—434no—
1854#121—434no—
1855#121—434no—
1856#121—434no—
1857#121—434no—
1858#121—434no—
1859#121—434no—
1860#121—434no—
1861#121—434no—
1862#121—434no—
1863#121—434no—
1864#121—431no—
1865#121—432no—
1866#121—432no—
1867#121—432no—
1868#121—432no—
1869#121—432no—
1870#121—432no—
1871#121—434no—
1872#121—434no—
1873#121—434no—
1874#121—432no—
1875#121—431no—
1876#121—432no—
1877#121—432no—
1878#121—432no—
1879#121—432no—
1880#121—434no—
1881#121—432no—
1882#121—434no—
1883#121—434no—
1884#121—434no—
1885#121—434no—
1886#121—434no—
1887#121—434no—
1888#121—434no—
1889#121C22×D4311yescharacteristic
1890#121C22×D4312yes—
1891#121C22×D4311yescharacteristic
1892#121C22×D4311yescharacteristic
1893#121C22×D4312yes—
1894#121C22×D4312yes—
1895#121C22×D4312yes—
1896#121C22×D4314yes—
1897#121C22×D4314yes—
1898#121C22×D4314yes—
1899#121C22×D4314yes—
1900#120—432no—
1901#120—432no—
1902#120—434no—
1903#120—434no—
1904#120—434no—
1905#120—434no—
1906#120—434no—
1907#120—434no—
1908#120—434no—
1909#120—434no—
1910#120—434no—
1911C4×Q8—431no—
1912C4×Q8—432no—
1913C4×Q8—432no—
1914C4×Q8—432no—
1915C4×Q8—432no—
1916C4×Q8—432no—
1917C4×Q8—432no—
1918C4×Q8—434no—
1919C4×Q8—434no—
1920C4×Q8—432no—
1921C4×Q8—431no—
1922C4×Q8—432no—
1923C4×Q8—431no—
1924C4×Q8—432no—
1925C4×Q8—431no—
1926C4×Q8—432no—
1927C4×Q8—432no—
1928C4×Q8—432no—
1929C4×Q8—432no—
1930C4×Q8—432no—
1931C4×Q8—432no—
1932C4×Q8—431no—
1933C4×Q8—432no—
1934C4×Q8—431no—
1935C4×Q8—431no—
1936C4×Q8—432no—
1937C4×Q8—434no—
1938C4×Q8—434no—
1939C4×Q8—434no—
1940C4×Q8—432no—
1941C4×Q8—434no—
1942C4×Q8C22×D4311yescharacteristic
1943C4×Q8C22×D4312yes—
1944C4×Q8C22×D4312yes—
1945C4×D4—431no—
1946C4×D4—432no—
1947C4×D4—431no—
1948C4×D4—431no—
1949C4×D4—432no—
1950C4×D4—432no—
1951C4×D4—432no—
1952C4×D4—432no—
1953C4×D4—432no—
1954C4×D4—432no—
1955C4×D4—432no—
1956C4×D4—434no—
1957C4×D4—434no—
1958C4×D4—432no—
1959C4×D4—434no—
1960C4×D4—432no—
1961C4×D4—432no—
1962C4×D4—432no—
1963C4×D4—432no—
1964C4×D4—432no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—434no—
1968C4×D4—434no—
1969C4×D4—434no—
1970C4×D4—434no—
1971C4×D4—434no—
1972C4×D4—434no—
1973C4×D4—434no—
1974C4×D4—434no—
1975C4×D4—431no—
1976C4×D4—432no—
1977C4×D4—432no—
1978C4×D4—432no—
1979C4×D4—434no—
1980C4×D4—434no—
1981C4×D4—432no—
1982C4×D4—432no—
1983C4×D4—434no—
1984C4×D4—432no—
1985C4×D4—432no—
1986C4×D4—432no—
1987C4×D4—432no—
1988C4×D4—432no—
1989C4×D4—432no—
1990C4×D4—432no—
1991C4×D4—432no—
1992C4×D4—432no—
1993C4×D4—432no—
1994C4×D4—434no—
1995C4×D4—432no—
1996C4×D4—434no—
1997C4×D4—434no—
1998C4×D4—434no—
1999C4×D4—434no—
2000C4×D4—434no—
2001C4×D4—434no—
2002C4×D4—434no—
2003C4×D4—431no—
2004C4×D4—432no—
2005C4×D4—434no—
2006C4×D4—434no—
2007C4×D4—432no—
2008C4×D4—432no—
2009C4×D4—434no—
2010C4×D4—434no—
2011C4×D4—432no—
2012C4×D4—434no—
2013C4×D4C22×D4312yes—
2014C4×D4C22×D4311yescharacteristic
2015C4×D4C22×D4311yescharacteristic
2016C4×D4C22×D4312yes—
2017C4×D4C22×D4311yescharacteristic
2018C4×D4C22×D4312yes—
2019C4×D4C22×D4314yes—
2020C4×D4C22×D4312yes—
2021#117—432no—
2022#117—432no—
2023#117—432no—
2024#117—432no—
2025#117—434no—
2026#117—434no—
2027#117—432no—
2028#117—434no—
2029#117—432no—
2030#117—432no—
2031#117—432no—
2032#117—432no—
2033#117—431no—
2034#117—432no—
2035#117—431no—
2036#117—434no—
2037#117—434no—
2038#117—432no—
2039#117—434no—
2040#117—434no—
2041#117—434no—
2042#117—434no—
2043#117—434no—
2044#117—432no—
2045#117—432no—
2046#117—432no—
2047#117—432no—
2048#117—432no—
2049#117—432no—
2050#117—434no—
2051#117—434no—
2052#117—434no—
2053#117—432no—
2054#117—432no—
2055#117—434no—
2056#117—434no—
2057#117C22×D4312yes—
2058#117C22×D4312yes—
2059#117C22×D4312yes—
2060#117C22×D4312yes—
2061#117C22×D4314yes—
2062C2×C4⋊C4—434no—
2063C2×C4⋊C4—432no—
2064C2×C4⋊C4—434no—
2065C2×C4⋊C4—434no—
2066C2×C4⋊C4—432no—
2067C2×C4⋊C4—432no—
2068C2×C4⋊C4—432no—
2069C2×C4⋊C4—431no—
2070C2×C4⋊C4—431no—
2071C2×C4⋊C4—432no—
2072C2×C4⋊C4—432no—
2073C2×C4⋊C4—434no—
2074C2×C4⋊C4—434no—
2075C2×C4⋊C4—434no—
2076C2×C4⋊C4C22×D4312yes—
2077C2×C4⋊C4C22×D4312yes—
2078C2×C22⋊C4—434no—
2079C2×C22⋊C4—434no—
2080C2×C22⋊C4—434no—
2081C2×C22⋊C4—432no—
2082C2×C22⋊C4—432no—
2083C2×C22⋊C4—432no—
2084C2×C22⋊C4—432no—
2085C2×C22⋊C4—432no—
2086C2×C22⋊C4—434no—
2087C2×C22⋊C4—434no—
2088C2×C22⋊C4—434no—
2089C2×C22⋊C4—434no—
2090C2×C42—432no—
2091C2×C42—432no—
2092C2×C42—431no—
2093C2×C42—431no—
2094C2×C42—431no—
2095C2×C42—431no—
2096C2×C42—432no—
2097C2×C42—431no—
2098C2×C42—434no—
2099C2×C42—431no—
2100C2×C42—431no—
2101C2×C42—431no—
2102C2×C42—431no—
2103C2×C42—431no—
2104C2×C42—431no—
2105C2×C42C22×D4311yescharacteristic
2106C24—432no—
2107C24—431no—
2108C24—434no—
2109#41—44no—
2110#41—44no—
2111#41—1724no—
2112#41—1724no—
2113#41—1724no—
2114#41—1728no—
2115#41—1724no—
2116#41—1722no—
2117#41—1722no—
2118#41—1724no—
2119#41—1724no—
2120#41—1724no—
2121C2×Q8—44no—
2122C2×Q8—431no—
2123C2×Q8—431no—
2124C2×Q8—432no—
2125C2×Q8—431no—
2126C2×Q8—434no—
2127C2×Q8—432no—
2128C2×Q8—432no—
2129C2×Q8—434no—
2130C2×Q8—1724no—
2131C2×Q8—1722no—
2132C2×Q8C23×D4311yescharacteristic
2133C2×Q8C23×D4312yes—
2134C2×Q8C23×D4312yes—
2135C2×Q8C23×D4314yes—
2136C2×Q8C23×D4312yes—
2137C2×D4—432no—
2138C2×D4—432no—
2139C2×D4—432no—
2140C2×D4—434no—
2141C2×D4—432no—
2142C2×D4—434no—
2143C2×D4—434no—
2144C2×D4—432no—
2145C2×D4—434no—
2146C2×D4—434no—
2147C2×D4—432no—
2148C2×D4—434no—
2149C2×D4—434no—
2150C2×D4—432no—
2151C2×D4—434no—
2152C2×D4—431no—
2153C2×D4—432no—
2154C2×D4—432no—
2155C2×D4—432no—
2156C2×D4—434no—
2157C2×D4—432no—
2158C2×D4—434no—
2159C2×D4—1724no—
2160C2×D4—1722no—
2161C2×D4—1724no—
2162C2×D4—1724no—
2163C2×D4—1728no—
2164C2×D4C23×D4311yescharacteristic
2165C2×D4C23×D4311yescharacteristic
2166C2×D4C23×D4311yescharacteristic
2167C2×D4C23×D4312yes—
2168C2×D4C23×D4312yes—
2169C2×D4C23×D4314yes—
2170C2×D4C23×D4312yes—
2171C2×D4C23×D4312yes—
2172C2×D4C23×D4314yes—
2173C2×D4C23×D4312yes—
2174C22×C4—431no—
2175C22×C4—431no—
2176C22×C4—431no—
2177C22×C4—432no—
2178C22×C4—432no—
2179C22×C4—432no—
2180C22×C4—432no—
2181C22×C4—434no—
2182C22×C4—434no—
2183C22×C4—432no—
2184C22×C4—431no—
2185C22×C4—431no—
2186C22×C4—431no—
2187C22×C4—431no—
2188C22×C4—431no—
2189C22×C4—431no—
2190C22×C4—432no—
2191C22×C4—432no—
2192C22×C4—431no—
2193C22×C4—431no—
2194C22×C4—431no—
2195C22×C4—431no—
2196C22×C4—431no—
2197C22×C4—431no—
2198C22×C4—432no—
2199C22×C4—434no—
2200C22×C4—434no—
2201C22×C4—434no—
2202C22×C4—432no—
2203C22×C4—432no—
2204C22×C4—434no—
2205C22×C4—434no—
2206C22×C4—434no—
2207C22×C4—434no—
2208C22×C4—1722no—
2209C22×C4—1724no—
2210C22×C4—1722no—
2211C22×C4—1722no—
2212C22×C4C23×D4311yescharacteristic
2213C22×C4C23×D4311yescharacteristic
2214C22×C4C23×D4312yes—
2215C22×C4C23×D4312yes—
2216C22×C4C23×D4312yes—
2217C22×C4C23×D4311yescharacteristic
2218C22×C4C23×D4314yes—
2219C22×C4C23×D4314yes—
2220C22×C4C23×D4314yes—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—431no—
2225C4⋊C4—432no—
2226C4⋊C4—432no—
2227C4⋊C4—432no—
2228C4⋊C4—432no—
2229C4⋊C4—431no—
2230C4⋊C4—432no—
2231C4⋊C4—434no—
2232C4⋊C4—434no—
2233C4⋊C4—434no—
2234C4⋊C4—432no—
2235C4⋊C4—432no—
2236C4⋊C4—432no—
2237C4⋊C4—434no—
2238C4⋊C4—434no—
2239C4⋊C4—434no—
2240C4⋊C4—431no—
2241C4⋊C4—432no—
2242C4⋊C4—432no—
2243C4⋊C4—432no—
2244C4⋊C4—432no—
2245C4⋊C4—432no—
2246C4⋊C4—432no—
2247C4⋊C4—434no—
2248C4⋊C4—434no—
2249C4⋊C4—434no—
2250C4⋊C4—434no—
2251C4⋊C4—434no—
2252C4⋊C4—434no—
2253C4⋊C4—432no—
2254C4⋊C4—432no—
2255C4⋊C4—431no—
2256C4⋊C4—432no—
2257C4⋊C4—432no—
2258C4⋊C4—432no—
2259C4⋊C4—432no—
2260C4⋊C4—434no—
2261C4⋊C4—432no—
2262C4⋊C4—432no—
2263C4⋊C4—434no—
2264C4⋊C4—432no—
2265C4⋊C4—432no—
2266C4⋊C4—432no—
2267C4⋊C4—432no—
2268C4⋊C4—432no—
2269C4⋊C4—432no—
2270C4⋊C4—434no—
2271C4⋊C4—434no—
2272C4⋊C4—434no—
2273C4⋊C4—434no—
2274C4⋊C4C23×D4312yes—
2275C4⋊C4C23×D4311yescharacteristic
2276C4⋊C4C23×D4314yes—
2277C4⋊C4C23×D4314yes—
2278C4⋊C4C23×D4312yes—
2279C4⋊C4C23×D4312yes—
2280C4⋊C4C23×D4311yescharacteristic
2281C4⋊C4C23×D4312yes—
2282C4⋊C4C23×D4312yes—
2283C4⋊C4C23×D4311yescharacteristic
2284C4⋊C4C23×D4312yes—
2285C4⋊C4C23×D4312yes—
2286C4⋊C4C23×D4314yes—
2287C4⋊C4C23×D4311yescharacteristic
2288C4⋊C4C23×D4314yes—
2289C4⋊C4C23×D4312yes—
2290C4⋊C4C23×D4314yes—
2291C4⋊C4C23×D4314yes—
2292C4⋊C4C23×D4312yes—
2293C22⋊C4—432no—
2294C22⋊C4—432no—
2295C22⋊C4—432no—
2296C22⋊C4—432no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—434no—
2301C22⋊C4—432no—
2302C22⋊C4—432no—
2303C22⋊C4—434no—
2304C22⋊C4—432no—
2305C22⋊C4—432no—
2306C22⋊C4—432no—
2307C22⋊C4—432no—
2308C22⋊C4—432no—
2309C22⋊C4—434no—
2310C22⋊C4—432no—
2311C22⋊C4—432no—
2312C22⋊C4—432no—
2313C22⋊C4—432no—
2314C22⋊C4—432no—
2315C22⋊C4—432no—
2316C22⋊C4—432no—
2317C22⋊C4—434no—
2318C22⋊C4—434no—
2319C22⋊C4—434no—
2320C22⋊C4—434no—
2321C22⋊C4—434no—
2322C22⋊C4—434no—
2323C22⋊C4—434no—
2324C22⋊C4—432no—
2325C22⋊C4—432no—
2326C22⋊C4—434no—
2327C22⋊C4—432no—
2328C22⋊C4—434no—
2329C22⋊C4—432no—
2330C22⋊C4—432no—
2331C22⋊C4—434no—
2332C22⋊C4—434no—
2333C22⋊C4—432no—
2334C22⋊C4—434no—
2335C22⋊C4—434no—
2336C22⋊C4—432no—
2337C22⋊C4—434no—
2338C22⋊C4—434no—
2339C22⋊C4—434no—
2340C22⋊C4—434no—
2341C22⋊C4—432no—
2342C22⋊C4—434no—
2343C22⋊C4C23×D4312yes—
2344C22⋊C4C23×D4314yes—
2345C22⋊C4C23×D4312yes—
2346C22⋊C4C23×D4312yes—
2347C22⋊C4C23×D4312yes—
2348C22⋊C4C23×D4314yes—
2349C22⋊C4C23×D4312yes—
2350C22⋊C4C23×D4312yes—
2351C22⋊C4C23×D4314yes—
2352C22⋊C4C23×D4312yes—
2353C22⋊C4C23×D4312yes—
2354C22⋊C4C23×D4312yes—
2355C22⋊C4C23×D4314yes—
2356C22⋊C4C23×D4314yes—
2357C22⋊C4C23×D4314yes—
2358C42—431no—
2359C42—431no—
2360C42—431no—
2361C42—431no—
2362C42—431no—
2363C42—431no—
2364C42—431no—
2365C42—431no—
2366C42—431no—
2367C42—431no—
2368C42—431no—
2369C42—431no—
2370C42—432no—
2371C42—432no—
2372C42—432no—
2373C42—434no—
2374C42—434no—
2375C42—432no—
2376C42—432no—
2377C42—432no—
2378C42—432no—
2379C42—432no—
2380C42—432no—
2381C42—434no—
2382C42—434no—
2383C42—434no—
2384C42—434no—
2385C42—434no—
2386C42C23×D4311yescharacteristic
2387C42C23×D4311yescharacteristic
2388C42C23×D4311yescharacteristic
2389C42C23×D4311yescharacteristic
2390C42C23×D4314yes—
2391C42C23×D4312yes—
2392C42C23×D4314yes—
2393C23—431no—
2394C23—432no—
2395C23—434no—
2396C23—431no—
2397C23—864no—
2398C23—862no—
2399C23—1722no—
2400C23—1722no—
2401C23—1721no—
2402C23—1721no—
2403C23—1724no—
2404C23—1724no—
2405C23—1724no—
2406C23C24×D4312yes—
2407C23C24×D4311yescharacteristic
2408C23C24×D4312yes—
2409C23C24×D4312yes—
2410Q8—22no—
2411Q8—24no—
2412Q8—44no—
2413Q8—42no—
2414Q8—42no—
2415Q8—862no—
2416Q8—862no—
2417Q8—864no—
2418Q8—862no—
2419Q8—1722no—
2420Q8—1724no—
2421Q8—1722no—
2422Q8—1724no—
2423D4—22no—
2424D4—22no—
2425D4—22no—
2426D4—42no—
2427D4—44no—
2428D4—42no—
2429D4—42no—
2430D4—42no—
2431D4—44no—
2432D4—42no—
2433D4—868no—
2434D4—864no—
2435D4—864no—
2436D4—862no—
2437D4—864no—
2438D4—864no—
2439D4—1722no—
2440D4—1724no—
2441D4—1722no—
2442D4—1724no—
2443D4—1722no—
2444D4—1722no—
2445D4—1724no—
2446D4—1722no—
2447D4—1724no—
2448D4—1724no—
2449D4—1724no—
2450D4—1724no—
2451D4—1722no—
2452D4—1724no—
2453D4—1724no—
2454D4—1722no—
2455C2×C4—22no—
2456C2×C4—24no—
2457C2×C4—24no—
2458C2×C4—24no—
2459C2×C4—22no—
2460C2×C4—41no—
2461C2×C4—44no—
2462C2×C4—44no—
2463C2×C4—44no—
2464C2×C4—431no—
2465C2×C4—431no—
2466C2×C4—431no—
2467C2×C4—431no—
2468C2×C4—431no—
2469C2×C4—432no—
2470C2×C4—432no—
2471C2×C4—432no—
2472C2×C4—431no—
2473C2×C4—432no—
2474C2×C4—434no—
2475C2×C4—432no—
2476C2×C4—432no—
2477C2×C4—432no—
2478C2×C4—862no—
2479C2×C4—862no—
2480C2×C4—864no—
2481C2×C4—862no—
2482C2×C4—862no—
2483C2×C4—862no—
2484C2×C4—864no—
2485C2×C4—862no—
2486C2×C4—1721no—
2487C2×C4—1721no—
2488C2×C4—1721no—
2489C2×C4—1721no—
2490C2×C4—1721no—
2491C2×C4—1721no—
2492C2×C4—1722no—
2493C2×C4—1722no—
2494C2×C4—1724no—
2495C2×C4—1722no—
2496C2×C4—1724no—
2497C2×C4—1724no—
2498C2×C4—1724no—
2499C2×C4—1724no—
2500C2×C4—1724no—
2501C2×C4—1724no—
2502C2×C4—1721no—
2503C2×C4—1721no—
2504C2×C4—1721no—
2505C2×C4—1722no—
2506C2×C4—1724no—
2507C2×C4—1722no—
2508C2×C4—1722no—
2509C2×C4—1722no—
2510C2×C4—1722no—
2511C2×C4—1724no—
2512C2×C4C24×D4312yes—
2513C2×C4C24×D4312yes—
2514C2×C4C24×D4314yes—
2515C2×C4C24×D4311yescharacteristic
2516C2×C4C24×D4311yescharacteristic
2517C2×C4C24×D4311yescharacteristic
2518C2×C4C24×D4314yes—
2519C2×C4C24×D4311yescharacteristic
2520C2×C4C24×D4312yes—
2521C2×C4C24×D4312yes—
2522C2×C4C24×D4312yes—
2523C2×C4C24×D4311yescharacteristic
2524C2×C4C24×D4311yescharacteristic
2525C22—22no—
2526C22—21no—
2527C22—22no—
2528C22—22no—
2529C22—22no—
2530C22—21no—
2531C22—22no—
2532C22—22no—
2533C22—22no—
2534C22—21no—
2535C22—22no—
2536C22—22no—
2537C22—432no—
2538C22—861no—
2539C22—861no—
2540C22—864no—
2541C22—861no—
2542C22—862no—
2543C22—861no—
2544C22—864no—
2545C22—862no—
2546C22—861no—
2547C22—862no—
2548C22—864no—
2549C22—3444no—
2550C22—1724no—
2551C22—6884no—
2552C22C25×D4311yescharacteristic
2553C4—22no—
2554C4—21no—
2555C4—21no—
2556C4—24no—
2557C4—22no—
2558C4—21no—
2559C4—22no—
2560C4—24no—
2561C4—22no—
2562C4—21no—
2563C4—22no—
2564C4—861no—
2565C4—861no—
2566C4—862no—
2567C4—862no—
2568C4—862no—
2569C4—861no—
2570C4—861no—
2571C4—862no—
2572C4—861no—
2573C4—861no—
2574C4—862no—
2575C4—862no—
2576C4—864no—
2577C4—862no—
2578C4#1458373412yes—
2579C4#1458373612yes—
2580C2—42no—
2581C2—41no—
2582C2—42no—
2583C2—42no—
2584C2—862no—
2585C2—1722no—
2586C2—1721no—
2587C2—1724no—
2588C2#585×D4311yescharacteristic
2589C2C2×#1458373411yescharacteristic
2590C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3547C2
hypercenter#3547D43
hypocenterC43#62827
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3547

Complements

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

NH ≅ G/Ntype
1. #19149266C2semidirect
2. #19149260C2semidirect
3. #19149228C2semidirect
4. #19149185C2semidirect
5. #19149077C2semidirect
6. #19149068C2semidirect
7. #19148967C2semidirect
8. #19148899C2semidirect
9. #19148890C2semidirect
10. #19148757C2semidirect
11. #19148697C2semidirect
12. #19148695C2semidirect
13. #19148686C2semidirect
14. #19148679C2semidirect
15. #19148670C2semidirect
16. #19148661C2semidirect
17. #19148658C2semidirect
18. #19148635C2semidirect
19. #19148630C2semidirect
20. #19148611C2semidirect
21. #19148600C2semidirect
22. #19148574C2semidirect
23. #19148570C2semidirect
24. #19148557C2semidirect
25. #19148549C2semidirect
26. #19148516C2semidirect
27. #19148494C2semidirect
28. #19148437C2semidirect
29. #19148424C2semidirect
30. #19148350C2semidirect
31. #19148322C2semidirect
32. #19147892C2semidirect
33. #19147890C2semidirect
34. #529×D43C2semidirect
35. C43×#3547C2semidirect
36. #14583650C22semidirect
37. #14583648C22semidirect
38. #14583646C22semidirect
39. #14583646C22semidirect
40. #14583645C22semidirect
41. #14583637C22semidirect
42. #14583637C22semidirect
43. #14583634C22semidirect
44. #14583632C22semidirect
45. #14583631C22semidirect
46. #14583631C22semidirect
47. #14583631C22semidirect
48. #14583631C22semidirect
49. #14583629C22semidirect
50. #14583628C22semidirect
51. #14583625C22semidirect
52. #14583624C22semidirect
53. #14583624C22semidirect
54. #14583623C22semidirect
55. #14583623C22semidirect
56. #14583623C22semidirect
57. #14583621C22semidirect
58. #14583619C22semidirect
59. #14583619C22semidirect
60. #14583618C22semidirect
61. #14583617C22semidirect
62. #14583617C22semidirect
63. #14583617C22semidirect
64. #14583615C22semidirect
65. #14583613C22semidirect
66. #14583613C22semidirect
67. #14583611C22semidirect
68. #14583610C22semidirect
69. #14583610C22semidirect
70. #14583607C22semidirect
71. #14583605C22semidirect
72. #14583605C22semidirect
73. #14583601C22semidirect
74. #14583601C22semidirect
75. #14583601C22semidirect
77. #14583597C22semidirect
78. #14583596C22semidirect
79. #14583595C22semidirect
80. #14583595C22semidirect
81. #14583594C22semidirect
82. #14583594C22semidirect
84. #14583593C22semidirect
85. #14583593C22semidirect
86. #14583592C22semidirect
87. #14583592C22semidirect
88. #14583591C22semidirect
89. #14583591C22semidirect
90. #14583591C22semidirect
91. #14583591C22semidirect
92. #14583588C22semidirect
93. #14583587C22semidirect
94. #14583587C22semidirect
95. #14583587C22semidirect
96. #14583585C22semidirect
97. #14583584C22semidirect
98. #14583583C22semidirect
99. #14583583C22semidirect
100. #14583583C22semidirect
101. #14583582C22semidirect
102. #14583578C22semidirect
103. #14583577C22semidirect
104. #14583576C22semidirect
105. #14583576C22semidirect
106. #14583576C22semidirect
107. #14583574C22semidirect
108. #14583572C22semidirect
109. #14583572C22semidirect
110. #14583572C22semidirect
111. #14583572C22semidirect
112. #14583572C22semidirect
113. #14583570C22semidirect
114. #14583570C22semidirect
115. #14583568C22semidirect
116. #14583567C22semidirect
117. #14583567C22semidirect
118. D4×Dic86C22semidirect
119. Q8×C22⋊D43C22semidirect
120. #14583560C22semidirect
121. #14583559C22semidirect
122. #14583558C22semidirect
123. #14583555C22semidirect
124. #14583555C22semidirect
125. #14583554C22semidirect
126. #14583553C22semidirect
127. #14583553C22semidirect
128. #14583551C22semidirect
129. #14583551C22semidirect
130. #14583550C22semidirect
131. #14583547C22semidirect
132. #14583546C22semidirect
133. #14583546C22semidirect
134. #14583546C22semidirect
135. #14583545C22semidirect
136. #14583544C22semidirect
139. #14583538C22semidirect
141. D4×D172C22semidirect
143. #14583529C22semidirect
144. #14583523C22semidirect
145. #14583523C22semidirect
147. #14583522C22semidirect
148. #14583522C22semidirect
149. #14583522C22semidirect
150. #14583522C22semidirect
151. #14583520C22semidirect
152. #14583519C22semidirect
153. #14583519C22semidirect
154. #14583516C22semidirect
155. #14583513C22semidirect
156. #14583513C22semidirect
157. #14583512C22semidirect
158. #14583512C22semidirect
159. #14583509C22semidirect
160. #14583509C22semidirect
161. #14583509C22semidirect
162. #14583508C22semidirect
163. #14583507C22semidirect
164. #14583502C22semidirect
165. #14583502C22semidirect
166. #14583502C22semidirect
167. #14583502C22semidirect
168. #14583501C22semidirect
169. #14583499C22semidirect
170. #14583498C22semidirect
171. #14583497C22semidirect
172. #14583493C22semidirect
173. #14583493C22semidirect
174. #14583492C22semidirect
175. #14583490C22semidirect
176. #14583490C22semidirect
177. #14583489C22semidirect
178. #14583486C22semidirect
179. #14583485C22semidirect
180. #14583485C22semidirect
181. #14583483C22semidirect
182. #14583483C22semidirect
183. #14583483C22semidirect
184. #14583483C22semidirect
185. #14583481C22semidirect
186. #14583477C22semidirect
187. #14583475C22semidirect
188. #14583465C22semidirect
190. #14583462C22semidirect
191. #14583457C22semidirect
192. #14583456C22semidirect
193. #14583454C22semidirect
194. #14583454C22semidirect
195. #14583454C22semidirect
196. #14583454C22semidirect
197. #14583454C22semidirect
198. #14583452C22semidirect
200. #14583450C22semidirect
201. #14583449C22semidirect
203. #14583447C22semidirect
204. #14583446C22semidirect
205. #14583445C22semidirect
207. #14583436C22semidirect
208. #14583436C22semidirect
210. #14583435C22semidirect
211. #14583435C22semidirect
212. #14583435C22semidirect
213. #14583435C22semidirect
214. #14583435C22semidirect
216. #14583434C22semidirect
217. #14583434C22semidirect
218. #14583434C22semidirect
220. #14583432C22semidirect
223. #14583431C22semidirect
224. #14583431C22semidirect
225. #14583431C22semidirect
226. #14583431C22semidirect
227. #14583430C22semidirect
228. #14583430C22semidirect
229. #14583430C22semidirect
230. #14583430C22semidirect
231. #14583430C22semidirect
232. #14583429C22semidirect
233. #14583428C22semidirect
234. #14583428C22semidirect
235. #14583428C22semidirect
236. #14583428C22semidirect
237. #14583427C22semidirect
238. #14583427C22semidirect
239. #14583426C22semidirect
240. #126×D43C22semidirect
241. #126×D43C22semidirect
242. C2×#13063316C22semidirect
243. #125×D43C22semidirect
244. C2×#13063314C22semidirect
246. #14583412C22semidirect
247. #14583412C22semidirect
249. #14583411C22semidirect
251. #14583409C22semidirect
252. #14583409C22semidirect
253. #14583409C22semidirect
254. #14583406C22semidirect
255. #123×D43C22semidirect
256. C2×#13063305C22semidirect
257. C22⋊Q8×D43C22semidirect
260. #14583382C22semidirect
261. #14583380C22semidirect
262. #14583380C22semidirect
263. #14583379C22semidirect
264. #14583378C22semidirect
265. #14583377C22semidirect
266. #14583376C22semidirect
267. #14583373C22semidirect
268. #14583371C22semidirect
269. #14583371C22semidirect
270. #41×Dic43C22semidirect
271. C4×#10621902C22semidirect
272. C4×#10621902C22semidirect
273. #14583367C22semidirect
274. C4×#10621900C22semidirect
275. C4×#10621900C22semidirect
276. C4×#10621900C22semidirect
277. C4×Q8×D43C22semidirect
279. C4×D4×D43C22semidirect
280. #117×D43C22semidirect
281. C2×C42×D43C22semidirect
282. C43×#562C22semidirect
283. C43×#555C22semidirect
284. C43×#555C22semidirect
285. C43×#554C22semidirect
286. C43×#553C22semidirect
287. C43×#552C22semidirect
288. D4×Q8×C43C22semidirect
289. C43×#548C22semidirect
290. C43×#547C22semidirect
291. C43×#544C22semidirect
292. C43×#542C22semidirect
293. C43×#540C22semidirect
294. C43×#537C22semidirect
295. C43×#536C22semidirect
296. C43×#533C22semidirect
297. C43×#532C22semidirect
298. C43×#529C22semidirect
1291. #3547D43semidirect
1336. #562C2×D43semidirect
1364. #555C2×D43semidirect
1365. #555C2×D43semidirect
1371. #554C2×D43semidirect
1387. #553C2×D43semidirect
1402. #552C2×D43semidirect
1421. D4×Q8C2×D43semidirect
1427. #548C2×D43semidirect
1435. #547C2×D43semidirect
1448. #544C2×D43semidirect
1462. #542C2×D43semidirect
1476. #540C2×D43semidirect
1494. #537C2×D43semidirect
1496. #536C2×D43semidirect
1508. #533C2×D43semidirect
1516. #532C2×D43semidirect
1551. #529C2×D43semidirect
1594. C43#62827semidirect

Maximal subgroups

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

subgroupindex
#191492662
#191492602
#191492282
#191491852
#191490772
#191490682
#191489672
#191488992
#191488902
#191487572
#191486972
#191486952
#191486862
#191486792
#191486702
#191486612
#191486582
#191486352
#191486302
#191486112
#191486002
#191485742
#191485702
#191485572
#191485492
#191485162
#191484942
#191484372
#191484242
#191483502
#191483222
#191478922
#191478902
#529×D432
C43×#35472
#6282743