Finite Group Databasebeta

← #26005413

Subgroups — #26005413

Order 11008.

6636 conjugacy classes of subgroups.

The subgroup lattice has 2354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149268C214yesmaximal, complemented
2#19149260C214yesmaximal, complemented
3#19149224C212yesmaximal, complemented
4#19149209C212yesmaximal, complemented
5#19149149C212yesmaximal, complemented
6#19149144C212yesmaximal, complemented
7#19149094C212yesmaximal, complemented
8#19149013C212yesmaximal, complemented
9#19148840C211yesmaximal, characteristic, complemented
10#19148830C211yesmaximal, characteristic, complemented
11#19148822C211yesmaximal, characteristic, complemented
12#19148585C212yesmaximal, complemented
13#19148577C212yesmaximal, complemented
14#19148574C212yesmaximal, complemented
15#19148564C212yesmaximal, complemented
16#19148553C212yesmaximal, complemented
17#19148549C212yesmaximal, complemented
18#19148536C212yesmaximal, complemented
19#19148536C214yesmaximal, complemented
20#19148530C212yesmaximal, complemented
21#19148528C214yesmaximal, complemented
22#19148516C212yesmaximal, complemented
23#19148487C212yesmaximal, complemented
24#19148314C212yesmaximal, complemented
25#19148310C212yesmaximal, complemented
26#19148294C212yesmaximal, complemented
27#19148289C212yesmaximal, complemented
28#19147887C211yesmaximal, characteristic, complemented
29C2×#14583435C211yesmaximal, characteristic, complemented
30C2×#14583430C211yesmaximal, characteristic, complemented
31C43×#3536C211yesmaximal, characteristic, complemented
32#14583651C2214yescomplemented
33#14583650C2214yescomplemented
34#14583650C2214yescomplemented
35#14583650C2214yescomplemented
36#14583646C2214yescomplemented
37#14583637C2214yes—
38#14583637C2214yescomplemented
39#14583633C2214yescomplemented
40#14583632C2212yescomplemented
41#14583631C2212yescomplemented
42#14583631C2214yescomplemented
43#14583628C2212yescomplemented
44#14583624C2212yescomplemented
45#14583621C2212yescomplemented
46#14583620C2214yescomplemented
47#14583620C2214yescomplemented
48#14583618C2212yescomplemented
49#14583618C2214yescomplemented
50#14583616C2214yescomplemented
51#14583613C2214yescomplemented
52#14583613C2214yescomplemented
53#14583611C2214yescomplemented
54#14583610C2212yescomplemented
55#14583606C2212yescomplemented
56#14583606C2212yescomplemented
57#14583606C2214yescomplemented
58#14583603C2214yescomplemented
59#14583601C2212yes—
60#14583601C2212yescomplemented
61#14583601C2214yescomplemented
62#14583601C2214yescomplemented
63#14583601C2214yescomplemented
64#14583601C2214yescomplemented
65#14583601C2214yescomplemented
66#14583598C2214yescomplemented
67#14583597C2212yes—
68#14583597C2212yescomplemented
69#14583596C2214yescomplemented
70#14583594C2214yescomplemented
71#14583592C2214yescomplemented
72#14583592C2214yescomplemented
73#14583591C2214yescomplemented
74#14583591C2214yescomplemented
75#14583591C2214yescomplemented
76#14583591C2214yescomplemented
77#14583591C2214yescomplemented
78#14583591C2212yescomplemented
79#14583591C2212yescomplemented
80#14583591C2214yescomplemented
81#14583587C2214yescomplemented
82#14583586C2214yescomplemented
83#14583586C2214yescomplemented
84#14583585C2214yescomplemented
85#14583584C2212yescomplemented
86#14583584C2212yescomplemented
87#14583583C2214yescomplemented
88#14583581C2214yescomplemented
89#14583579C2214yescomplemented
90#14583578C2214yescomplemented
91#14583577C2214yescomplemented
92#14583576C2214yescomplemented
93#14583576C2214yescomplemented
94#14583576C2214yescomplemented
95#14583576C2214yescomplemented
96#14583575C2214yescomplemented
97#14583575C2214yescomplemented
98#14583575C2214yescomplemented
99#14583574C2214yescomplemented
100#14583572C2214yescomplemented
101#14583572C2214yescomplemented
102#14583572C2214yescomplemented
103Q8×C22⋊D43C2212yescomplemented
104#14583562C2212yescomplemented
105#14583559C2212yescomplemented
106#14583558C2212yescomplemented
107#14583556C2212yescomplemented
108#14583553C2212yescomplemented
109#14583553C2214yescomplemented
110#14583548C2214yescomplemented
111#14583546C2212yescomplemented
112#14583545C2212yescomplemented
113#14583538C2214yescomplemented
114#14583537C2212yescomplemented
115#14583537C2214yescomplemented
116#14583536C2214yescomplemented
117#14583536C2214yescomplemented
118#14583536C2214yescomplemented
119#14583533C2212yes—
120D4×C22⋊D43C2212yes—
121D4×C22⋊D43C2214yes—
122#14583530C2212yescomplemented
123#14583528C2212yescomplemented
124#14583524C2212yescomplemented
125#14583523C2212yescomplemented
126#14583520C2212yescomplemented
127#14583519C2214yescomplemented
128#14583519C2214yescomplemented
129#14583518C2214yescomplemented
130#14583518C2212yescomplemented
131#14583518C2214yescomplemented
132#14583517C2214yescomplemented
133#14583513C2214yescomplemented
134#14583512C2214yescomplemented
135#14583509C2214yescomplemented
136#14583509C2212yescomplemented
137#14583509C2214yescomplemented
138#14583509C2212yescomplemented
139#14583508C2214yescomplemented
140#14583502C2212yes—
141#14583502C2214yescomplemented
142#14583502C2212yescomplemented
143#14583499C2214yescomplemented
144#14583498C2212yescomplemented
145#14583498C2214yescomplemented
146#14583498C2212yescomplemented
147#14583498C2214yescomplemented
148#14583496C2212yescomplemented
149#14583495C2214yescomplemented
150#14583493C2214yescomplemented
151#14583493C2214yescomplemented
152#14583493C2214yescomplemented
153#14583493C2214yescomplemented
154#14583492C2214yescomplemented
155#14583487C2212yes—
156#14583486C2212yes—
157#14583486C2214yescomplemented
158#14583486C2212yescomplemented
159#14583486C2214yescomplemented
160#14583486C2214yescomplemented
161#14583485C2214yescomplemented
162#14583484C2214yescomplemented
163#14583483C2214yescomplemented
164#14583481C2214yescomplemented
165#14583481C2214yescomplemented
166#14583477C2212yescomplemented
167#14583476C2212yescomplemented
168#14583472C2212yescomplemented
169#14583465C2212yes—
170#14583461C2212yes—
171#14583457C2212yes—
172#14583454C2212yescomplemented
173#14583452C2211yescharacteristic, complemented
174#14583451C2211yescharacteristic, complemented
175#14583451C2211yescharacteristic, complemented
176#14583445C2212yescomplemented
177#14583445C2211yescharacteristic, complemented
178#14583444C2211yescharacteristic, complemented
179#14583444C2211yescharacteristic, complemented
180#14583436C2212yescomplemented
181#14583435C2211yescharacteristic, complemented
182#14583435C2212yescomplemented
183#14583435C2211yescharacteristic, complemented
184#14583435C2212yescomplemented
185#14583435C2214yescomplemented
186#14583435C2212yescomplemented
187#14583435C2212yescomplemented
188#14583435C2212yescomplemented
189#14583435C2212yescomplemented
190#14583435C2212yescomplemented
191#14583435C2212yescomplemented
192#14583435C2212yescomplemented
193#14583431C2212yescomplemented
194#14583430C2212yescomplemented
195#14583430C2212yescomplemented
196#14583430C2212yescomplemented
197#14583430C2211yescharacteristic, complemented
198#14583430C2211yescharacteristic, complemented
199#14583430C2214yescomplemented
200#14583430C2212yescomplemented
201#14583430C2212yescomplemented
202#14583430C2212yescomplemented
203#14583430C2212yescomplemented
204#14583430C2212yescomplemented
205#14583430C2212yescomplemented
206#14583429C2214yescomplemented
207#14583429C2214yescomplemented
208#14583429C2212yescomplemented
209#14583429C2212yescomplemented
210#14583426C2212yescomplemented
211#14583426C2212yescomplemented
212C2×#13063320C2212yescomplemented
213C2×#13063318C2212yescomplemented
214C2×#13063316C2211yescharacteristic, complemented
215C2×#13063316C2212yescomplemented
216C2×#13063316C2211yescharacteristic, complemented
217C2×#13063314C2211yescharacteristic, complemented
218C2×#13063312C2211yescharacteristic, complemented
219#124×D43C2212yescomplemented
220#14583410C2211yescharacteristic
221#14583406C2214yescomplemented
222#14583405C2214yescomplemented
223#14583405C2212yescomplemented
224#14583405C2212yescomplemented
225C2×#13063309C2214yescomplemented
226C2×#13063309C2212yescomplemented
227C2×#13063306C2212yescomplemented
228#123×D43C2214yescomplemented
229C2×#13063304C2211yescharacteristic, complemented
230C2×#13063299C2211yescharacteristic
231#14583382C2214yescomplemented
232#14583382C2212yescomplemented
233#14583380C2212yescomplemented
234#14583378C2214yescomplemented
235#14583375C2212yescomplemented
236#14583372C2214yescomplemented
237#14583371C2214yescomplemented
238#14583371C2212yescomplemented
239#41×Dic43C2211yescharacteristic, complemented
240#14583367C2211yescharacteristic, complemented
241C4×#10621900C2212yescomplemented
242C4×#10621900C2212yescomplemented
243C2×Q8×Dic43C2211yescharacteristic, complemented
244C2×#13063290C2211yescharacteristic, complemented
245C2×D4×Dic43C2212yescomplemented
246C2×D4×Dic43C2211yescharacteristic, complemented
247C2×#13063287C2211yescharacteristic, complemented
248C2×(C22⋊D43)⋊C4C2212yescomplemented
249C2×#13063283C2212yescomplemented
250C2×#13063281C2212yescomplemented
251C22×C4×Dic43C2211yescharacteristic, complemented
252C43×#562C2214yescomplemented
253C43×#554C2212yescomplemented
254C43×#548C2212yescomplemented
255C43×#547C2212yescomplemented
256C43×#546C2212yescomplemented
257C43×#546C2214yescomplemented
258C43×#543C2212yescomplemented
259C43×#542C2212yescomplemented
260C43×#539C2212yescomplemented
261C43×#538C2212yescomplemented
262C43×#537C2212yescomplemented
263C43×#537C2212yescomplemented
264C43×#525C2211yescharacteristic, complemented
265C2×C22⋊Q8×C43C2211yescharacteristic, complemented
266C2×#121×C43C2211yescharacteristic
267C2×#10621898C2312yes—
268C2×#10621898C2311yescharacteristic
269C2×#10621900C2312yes—
270C2×#10621900C2314yes—
271C2×#10621900C2312yes—
272C22×Dic86C2311yescharacteristic
273C2×Q8×D43C2312yes—
274C22×D172C2311yescharacteristic
275C22×C22⋊D43C2312yes—
276C22×C22⋊D43C2314yes—
277C2×D4×D43C2314yes—
278C2×D4×D43C2312yes—
279C23×Dic43C2311yescharacteristic
280C23×Dic43C2311yescharacteristic
281C23×Dic43C2312yes—
282C22×C4×D43C2312yes—
283#13063325C2312yes—
284#13063325C2314yes—
285#13063324C2314yes—
286#13063324C2314yes—
287#13063324C2311yescharacteristic
288#13063324C2311yescharacteristic
289#13063323C2312yes—
290#13063323C2314yes—
291#13063323C2314yes—
292#13063323C2311yescharacteristic
293#13063321C2312yes—
294#13063321C2314yes—
295#13063321C2311yescharacteristic
296#13063320C2312yes—
297#13063320C2314yes—
298#13063320C2314yes—
299#13063320C2314yes—
300#13063320C2314yes—
301#13063320C2312yes—
302#13063320C2314yes—
303#13063320C2314yes—
304#13063320C2314yes—
305#13063320C2314yes—
306#13063320C2314yes—
307#13063320C2314yes—
308#13063320C2314yes—
309#13063320C2314yes—
310#13063320C2314yes—
311#13063320C2314yes—
312#13063320C2314yes—
313#13063319C2314yes—
314#13063318C2314yes—
315#13063318C2314yes—
316#13063318C2314yes—
317#13063318C2314yes—
318#13063318C2314yes—
319#13063318C2314yes—
320#13063318C2314yes—
321#13063318C2314yes—
322#13063318C2314yes—
323#13063318C2314yes—
324#13063318C2314yes—
325#13063318C2312yes—
326#13063318C2314yes—
327#13063318C2312yes—
328#13063318C2314yes—
329#13063318C2314yes—
330#13063318C2314yes—
331#13063316C2314yes—
332#13063316C2312yes—
333#13063316C2312yes—
334#13063316C2311yescharacteristic
335#13063316C2312yes—
336#13063316C2314yes—
337#13063316C2312yes—
338#13063316C2311yescharacteristic
339#13063316C2314yes—
340#13063316C2314yes—
341#13063316C2314yes—
342#13063316C2314yes—
343#13063316C2314yes—
344#13063316C2314yes—
345#13063316C2312yes—
346#13063316C2314yes—
347#13063316C2312yes—
348#13063316C2312yes—
349#13063316C2312yes—
350#13063316C2312yes—
351#13063316C2312yes—
352#13063315C2314yes—
353#13063315C2314yes—
354#13063315C2314yes—
355#13063315C2314yes—
356#13063315C2314yes—
357#13063315C2314yes—
358#13063315C2312yes—
359#13063315C2312yes—
360#13063314C2312yes—
361#13063314C2311yescharacteristic
362#13063314C2312yes—
363#13063314C2314yes—
364#13063314C2312yes—
365#13063314C2312yes—
366#13063313C2312yes—
367#13063312C2314yes—
368#13063312C2312yes—
369#13063312C2312yes—
370#13063312C2311yescharacteristic
371#13063312C2312yes—
372#13063312C2312yes—
373#13063311C2314yes—
374#13063311C2314yes—
375#13063311C2314yes—
376#13063311C2314yes—
377#13063311C2314yes—
378#13063311C2314yes—
379#13063311C2314yes—
380#13063311C2314yes—
381#13063311C2314yes—
382#13063311C2314yes—
383#13063311C2312yes—
384#13063311C2312yes—
385#13063310C2314yes—
386#13063310C2314yes—
387#13063310C2314yes—
388#13063310C2314yes—
389#13063310C2314yes—
390#13063310C2314yes—
391#13063309C2314yes—
392#13063309C2314yes—
393#13063309C2314yes—
394#13063309C2314yes—
395#13063309C2314yes—
396#13063309C2314yes—
397#13063309C2314yes—
398#13063309C2314yes—
399#13063309C2314yes—
400#13063309C2314yes—
401#13063309C2314yes—
402#13063309C2314yes—
403#13063309C2314yes—
404#13063309C2312yes—
405#13063309C2312yes—
406#13063309C2314yes—
407#13063309C2314yes—
408#13063308C2314yes—
409#13063308C2314yes—
410#13063308C2314yes—
411#13063308C2314yes—
412#13063308C2312yes—
413#13063307C2314yes—
414#13063307C2314yes—
415#13063307C2314yes—
416#13063307C2314yes—
417#13063307C2314yes—
418#13063307C2314yes—
419#13063307C2314yes—
420#13063307C2314yes—
421#13063306C2314yes—
422#13063306C2314yes—
423#13063306C2314yes—
424#13063306C2314yes—
425#13063306C2314yes—
426#13063306C2312yes—
427#13063306C2312yes—
428#13063305C2314yes—
429#13063305C2314yes—
430#13063305C2314yes—
431#13063305C2312yes—
432#13063304C2312yes—
433#13063304C2314yes—
434#13063304C2314yes—
435#13063304C2312yes—
436#13063304C2314yes—
437#13063304C2312yes—
438#13063304C2312yes—
439#13063304C2312yes—
440#13063304C2311yescharacteristic
441#13063304C2311yescharacteristic
442#13063303C2314yes—
443#13063303C2314yes—
444#13063303C2314yes—
445#13063303C2314yes—
446#13063303C2314yes—
447#13063302C2314yes—
448#13063302C2312yes—
449#13063302C2314yes—
450#13063302C2314yes—
451#13063302C2312yes—
452#13063302C2314yes—
453#13063302C2314yes—
454#13063302C2314yes—
455#13063302C2314yes—
456#13063302C2312yes—
457#13063302C2312yes—
458#13063301C2314yes—
459#13063301C2312yes—
460#13063301C2314yes—
461#13063301C2314yes—
462#13063301C2314yes—
463#13063301C2314yes—
464#13063301C2314yes—
465#13063300C2312yes—
466#13063299C2312yes—
467#13063299C2314yes—
468#13063299C2314yes—
469#13063299C2312yes—
470#13063299C2312yes—
471#13063299C2312yes—
472#13063299C2312yes—
473#13063299C2311yescharacteristic
474#13063299C2311yescharacteristic
475#13063298C2314yes—
476#13063298C2314yes—
477#13063298C2314yes—
478#13063297C2314yes—
479#13063297C2314yes—
480#13063297C2314yes—
481#13063297C2314yes—
482#13063297C2314yes—
483#13063297C2314yes—
484#13063297C2312yes—
485#13063297C2314yes—
486#13063297C2314yes—
487#13063297C2312yes—
488#13063297C2314yes—
489#13063297C2314yes—
490#13063297C2314yes—
491#13063297C2312yes—
492#13063297C2312yes—
493#13063296C2312yes—
494#13063296C2314yes—
495#13063296C2314yes—
496#13063296C2314yes—
497#13063296C2314yes—
498#13063296C2314yes—
499#13063295C2314yes—
500#13063295C2314yes—
501#13063294C2312yes—
502#13063294C2314yes—
503#13063293C2314yes—
504#13063293C2314yes—
505#13063293C2314yes—
506#13063293C2314yes—
507#13063293C2314yes—
508#13063293C2314yes—
509Q8×Dic43C2312yes—
510Q8×Dic43C2312yes—
511Q8×Dic43C2311yescharacteristic
512Q8×Dic43C2311yescharacteristic
513Q8×Dic43C2312yes—
514Q8×Dic43C2314yes—
515Q8×Dic43C2314yes—
516Q8×Dic43C2312yes—
517Q8×Dic43C2312yes—
518C4×Dic86C2312yes—
519C4×Dic86C2314yes—
520C4×Dic86C2314yes—
521C4×Dic86C2312yes—
522C4×Dic86C2312yes—
523#13063290C2312yes—
524#13063290C2312yes—
525#13063290C2312yes—
526#13063290C2314yes—
527#13063290C2314yes—
528#13063290C2311yescharacteristic
529#13063290C2312yes—
530#13063290C2312yes—
531#13063290C2311yescharacteristic
532#13063290C2312yes—
533#13063290C2312yes—
534C4×D172C2314yes—
535C4×D172C2312yes—
536D4×Dic43C2312yes—
537D4×Dic43C2314yes—
538D4×Dic43C2314yes—
539D4×Dic43C2314yes—
540D4×Dic43C2314yes—
541D4×Dic43C2311yescharacteristic
542D4×Dic43C2312yes—
543D4×Dic43C2314yes—
544D4×Dic43C2314yes—
545D4×Dic43C2312yes—
546D4×Dic43C2312yes—
547D4×Dic43C2311yescharacteristic
548D4×Dic43C2314yes—
549D4×Dic43C2312yes—
550D4×Dic43C2314yes—
551D4×Dic43C2314yes—
552D4×Dic43C2312yes—
553D4×Dic43C2312yes—
554D4×Dic43C2314yes—
555D4×Dic43C2312yes—
556D4×Dic43C2312yes—
557#13063287C2314yes—
558#13063287C2311yescharacteristic
559#13063287C2311yescharacteristic
560#13063287C2312yes—
561#13063287C2312yes—
562#13063287C2312yes—
563#13063287C2312yes—
564#13063287C2312yes—
565C4×C22⋊D43C2314yes—
566C4×C22⋊D43C2312yes—
567C4×C22⋊D43C2312yes—
568C4×C22⋊D43C2312yes—
569C4×C22⋊D43C2314yes—
570C4×C22⋊D43C2312yes—
571C4×C22⋊D43C2314yes—
572C4×C22⋊D43C2314yes—
573C4×C22⋊D43C2314yes—
574C4×C22⋊D43C2314yes—
575C4×C22⋊D43C2314yes—
576C4×C22⋊D43C2314yes—
577C4×C22⋊D43C2314yes—
578C4×C22⋊D43C2314yes—
579C4×C22⋊D43C2314yes—
580(C22⋊D43)⋊C4C2314yes—
581(C22⋊D43)⋊C4C2314yes—
582(C22⋊D43)⋊C4C2312yes—
583(C22⋊D43)⋊C4C2314yes—
584(C22⋊D43)⋊C4C2314yes—
585(C22⋊D43)⋊C4C2314yes—
586(C22⋊D43)⋊C4C2312yes—
587(C22⋊D43)⋊C4C2314yes—
588(C22⋊D43)⋊C4C2314yes—
589(C22⋊D43)⋊C4C2314yes—
590(C22⋊D43)⋊C4C2314yes—
591(C22⋊D43)⋊C4C2312yes—
592(C22⋊D43)⋊C4C2312yes—
593(C22⋊D43)⋊C4C2312yes—
594(C22⋊D43)⋊C4C2312yes—
595#13063284C2314yes—
596#13063284C2314yes—
597#13063284C2314yes—
598#13063284C2314yes—
599#13063284C2312yes—
600#13063284C2311yescharacteristic
601#13063283C2314yes—
602#13063283C2314yes—
603#13063283C2314yes—
604#13063283C2314yes—
605#13063283C2312yes—
606#13063283C2314yes—
607#13063283C2312yes—
608#13063283C2314yes—
609#13063283C2314yes—
610#13063283C2312yes—
611#13063283C2312yes—
612#13063282C2314yes—
613#13063282C2314yes—
614#13063282C2314yes—
615#13063282C2312yes—
616#13063281C2312yes—
617#13063281C2314yes—
618#13063281C2314yes—
619#13063281C2314yes—
620#13063281C2314yes—
621#13063281C2314yes—
622#13063281C2312yes—
623#13063281C2312yes—
624#13063281C2314yes—
625#13063281C2312yes—
626#13063281C2314yes—
627#13063281C2314yes—
628C2×C4⋊Dic43C2311yescharacteristic
629C2×C4⋊Dic43C2312yes—
630C2×C4⋊Dic43C2314yes—
631C2×C4⋊Dic43C2312yes—
632C2×C4⋊Dic43C2314yes—
633C2×C4⋊Dic43C2314yes—
634C2×C4⋊Dic43C2311yescharacteristic
635C2×C4⋊Dic43C2312yes—
636C2×C4⋊Dic43C2312yes—
637C2×Dic43⋊C4C2312yes—
638C2×Dic43⋊C4C2314yes—
639C2×Dic43⋊C4C2312yes—
640C2×Dic43⋊C4C2312yes—
641C2×Dic43⋊C4C2312yes—
642C4⋊C4×D43C2314yes—
643C4⋊C4×D43C2314yes—
644C2×C22⋊Dic43C2312yes—
645C2×C22⋊Dic43C2312yes—
646C2×C22⋊Dic43C2312yes—
647C2×C22⋊Dic43C2312yes—
648C2×(C2×D43)⋊C4C2312yes—
649C2×(C2×D43)⋊C4C2314yes—
650C2×(C2×D43)⋊C4C2314yes—
651C2×(C2×D43)⋊C4C2312yes—
652C2×(C2×D43)⋊C4C2312yes—
653C2×(C2×D43)⋊C4C2312yes—
654C22⋊C4×D43C2314yes—
655C22⋊C4×D43C2314yes—
656C22⋊C4×D43C2314yes—
657C22⋊C4×D43C2314yes—
658C22⋊C4×D43C2314yes—
659C2×C4×Dic43C2311yescharacteristic
660C2×C4×Dic43C2311yescharacteristic
661C2×C4×Dic43C2311yescharacteristic
662C2×C4×Dic43C2311yescharacteristic
663C2×C4×Dic43C2311yescharacteristic
664C2×C4×Dic43C2311yescharacteristic
665C2×C4×Dic43C2311yescharacteristic
666C2×C4×Dic43C2311yescharacteristic
667C2×C4×Dic43C2311yescharacteristic
668C2×C4×Dic43C2311yescharacteristic
669C2×C4×Dic43C2311yescharacteristic
670C2×C4×Dic43C2311yescharacteristic
671C2×C4×Dic43C2312yes—
672C2×C4×Dic43C2312yes—
673C2×C4×Dic43C2312yes—
674C42×D43C2312yes—
675C2×#41×C43C2312yes—
676C2×#41×C43C2311yescharacteristic
677C2×#41×C43C2314yes—
678C22×Q8×C43C2311yescharacteristic
679C22×D4×C43C2312yes—
680C22×D4×C43C2311yescharacteristic
681C23×C4×C43C2311yescharacteristic
682C4⋊Q8×C43C2312yes—
683#126×C43C2314yes—
684#125×C43C2314yes—
685#124×C43C2314yes—
686#124×C43C2314yes—
687#124×C43C2312yes—
688#123×C43C2314yes—
689#123×C43C2314yes—
690#123×C43C2314yes—
691#123×C43C2312yes—
692#123×C43C2314yes—
693C22⋊Q8×C43C2312yes—
694C22⋊Q8×C43C2312yes—
695C22⋊Q8×C43C2314yes—
696C22⋊Q8×C43C2314yes—
697C22⋊Q8×C43C2314yes—
698C22⋊Q8×C43C2314yes—
699C22⋊Q8×C43C2312yes—
700C22⋊Q8×C43C2312yes—
701C22⋊Q8×C43C2312yes—
702C22⋊Q8×C43C2311yescharacteristic
703C22⋊Q8×C43C2311yescharacteristic
704C22⋊Q8×C43C2314yes—
705C22⋊Q8×C43C2314yes—
706#121×C43C2312yes—
707#121×C43C2312yes—
708#121×C43C2312yes—
709#121×C43C2312yes—
710#121×C43C2311yescharacteristic
711#121×C43C2311yescharacteristic
712#121×C43C2314yes—
713#121×C43C2314yes—
714#121×C43C2314yes—
715#121×C43C2312yes—
716#121×C43C2314yes—
717#121×C43C2314yes—
718#120×C43C2312yes—
719#120×C43C2314yes—
720C4×Q8×C43C2312yes—
721C4×D4×C43C2312yes—
722C4×D4×C43C2314yes—
723C4×D4×C43C2314yes—
724C4×D4×C43C2312yes—
725C4×D4×C43C2312yes—
726#117×C43C2311yescharacteristic
727C2×C4⋊C4×C43C2311yescharacteristic
728C2×C4⋊C4×C43C2311yescharacteristic
729C2×C4⋊C4×C43C2312yes—
730C2×C4⋊C4×C43C2312yes—
731C2×C22⋊C4×C43C2312yes—
732C2×C22⋊C4×C43C2314yes—
733C2×C22⋊C4×C43C2312yes—
734C24×C43C2411yescharacteristic
735C24×C43C2412yes—
736C23×D43C2412yes—
737C23×D43C2414yes—
738#41×C43—42no—
739#41×C43—48no—
740#41×C43—44no—
741C2×Q8×C43—42no—
742C2×Q8×C43C2412yes—
743C2×Q8×C43C2411yescharacteristic
744C2×Q8×C43C2412yes—
745C2×Q8×C43C2414yes—
746C2×D4×C43—44no—
747C2×D4×C43—42no—
748C2×D4×C43C2412yes—
749C2×D4×C43C2412yes—
750C2×D4×C43C2414yes—
751C2×D4×C43C2412yes—
752C2×D4×C43C2414yes—
753C2×D4×C43C2412yes—
754C2×D4×C43C2414yes—
755C2×D4×C43C2411yescharacteristic
756C2×D4×C43C2412yes—
757C2×D4×C43C2414yes—
758C22×C4×C43—42no—
759C22×C4×C43C2412yes—
760C22×C4×C43C2411yescharacteristic
761C22×C4×C43C2412yes—
762C22×C4×C43C2411yescharacteristic
763C22×C4×C43C2411yescharacteristic
764C22×C4×C43C2411yescharacteristic
765C22×C4×C43C2412yes—
766C22×C4×C43C2412yes—
767C22×C4×C43C2414yes—
768C22×C4×C43C2414yes—
769C22×C4×C43C2411yescharacteristic
770C22×C4×C43C2414yes—
771C22×C4×C43C2411yescharacteristic
772C2×C22⋊D43—44no—
773C2×C22⋊D43—48no—
774C2×C22⋊D43C2414yes—
775C2×C22⋊D43C2412yes—
776C2×C22⋊D43C2412yes—
777C2×C22⋊D43C2412yes—
778C2×C22⋊D43C2414yes—
779C2×C22⋊D43C2414yes—
780C2×C22⋊D43C2412yes—
781C2×C22⋊D43C2412yes—
782C2×C22⋊D43C2414yes—
783C2×C22⋊D43C2414yes—
784C2×C22⋊D43C2414yes—
785C2×C22⋊D43C2414yes—
786C2×C22⋊D43C2414yes—
787C22×Dic43—42no—
788C22×Dic43—42no—
789C22×Dic43—44no—
790C22×Dic43C2411yescharacteristic
791C22×Dic43C2411yescharacteristic
792C22×Dic43C2411yescharacteristic
793C22×Dic43C2411yescharacteristic
794C22×Dic43C2412yes—
795C22×Dic43C2411yescharacteristic
796C22×Dic43C2411yescharacteristic
797C22×Dic43C2411yescharacteristic
798C22×Dic43C2411yescharacteristic
799C22×Dic43C2411yescharacteristic
800C22×Dic43C2411yescharacteristic
801C22×Dic43C2411yescharacteristic
802C22×Dic43C2411yescharacteristic
803C22×Dic43C2412yes—
804C22×Dic43C2412yes—
805C22×Dic43C2412yes—
806C22×Dic43C2412yes—
807C22×Dic43C2414yes—
808C22×Dic43C2414yes—
809C22×Dic43C2414yes—
810C22×Dic43C2414yes—
811Q8×D43—44no—
812#10621900—44no—
813#10621900—44no—
814#10621900—48no—
815D4×D43—48no—
816D4×D43—44no—
817#10621898—44no—
818#10621898—42no—
819C2×D172—42no—
820C2×D172C2412yes—
821C2×D172C2411yescharacteristic
822C2×D172C2412yes—
823C2×D172C2414yes—
824C2×C4×D43—44no—
825C2×C4×D43C2412yes—
826C2×C4×D43C2412yes—
827C2×C4×D43C2412yes—
828C2×C4×D43C2414yes—
829C2×C4×D43C2414yes—
830C2×C4×D43C2414yes—
831C2×C4×D43C2414yes—
832C2×C4×D43C2414yes—
833C2×C4×D43C2414yes—
834C2×Dic86—42no—
835C2×Dic86C2412yes—
836C2×Dic86C2412yes—
837C2×Dic86C2411yescharacteristic
838C2×Dic86C2414yes—
839C2×Dic86C2412yes—
840C2×Dic86C2412yes—
841C2×Dic86C2414yes—
842C4⋊C4×C43C2412yes—
843C4⋊C4×C43C2412yes—
844C4⋊C4×C43C2412yes—
845C4⋊C4×C43C2414yes—
846C4⋊C4×C43C2414yes—
847C4⋊C4×C43C2414yes—
848C4⋊C4×C43C2412yes—
849C4⋊C4×C43C2411yescharacteristic
850C4⋊C4×C43C2411yescharacteristic
851C4⋊C4×C43C2414yes—
852C4⋊C4×C43C2412yes—
853C4⋊C4×C43C2412yes—
854C4⋊C4×C43C2414yes—
855C4⋊C4×C43C2414yes—
856C22⋊C4×C43C2414yes—
857C22⋊C4×C43C2412yes—
858C22⋊C4×C43C2414yes—
859C22⋊C4×C43C2414yes—
860C22⋊C4×C43C2414yes—
861C22⋊C4×C43C2414yes—
862C22⋊C4×C43C2414yes—
863C22⋊C4×C43C2412yes—
864C22⋊C4×C43C2412yes—
865C22⋊C4×C43C2414yes—
866C22⋊C4×C43C2414yes—
867C22⋊C4×C43C2412yes—
868C22⋊C4×C43C2414yes—
869C22⋊C4×C43C2412yes—
870C42×C43C2412yes—
871C42×C43C2414yes—
872C22⋊Dic43C2414yes—
873C22⋊Dic43C2414yes—
874C22⋊Dic43C2414yes—
875C22⋊Dic43C2414yes—
876C22⋊Dic43C2414yes—
877C22⋊Dic43C2414yes—
878C22⋊Dic43C2414yes—
879C22⋊Dic43C2414yes—
880C22⋊Dic43C2412yes—
881C22⋊Dic43C2412yes—
882C22⋊Dic43C2412yes—
883C22⋊Dic43C2412yes—
884C22⋊Dic43C2412yes—
885C22⋊Dic43C2412yes—
886C22⋊Dic43C2414yes—
887C22⋊Dic43C2414yes—
888C22⋊Dic43C2412yes—
889C22⋊Dic43C2414yes—
890(C2×D43)⋊C4C2412yes—
891(C2×D43)⋊C4C2414yes—
892(C2×D43)⋊C4C2412yes—
893(C2×D43)⋊C4C2414yes—
894(C2×D43)⋊C4C2414yes—
895(C2×D43)⋊C4C2414yes—
896(C2×D43)⋊C4C2414yes—
897(C2×D43)⋊C4C2414yes—
898(C2×D43)⋊C4C2414yes—
899(C2×D43)⋊C4C2412yes—
900(C2×D43)⋊C4C2414yes—
901(C2×D43)⋊C4C2414yes—
902(C2×D43)⋊C4C2412yes—
903(C2×D43)⋊C4C2414yes—
904(C2×D43)⋊C4C2414yes—
905(C2×D43)⋊C4C2414yes—
906(C2×D43)⋊C4C2414yes—
907(C2×D43)⋊C4C2414yes—
908(C2×D43)⋊C4C2414yes—
909(C2×D43)⋊C4C2414yes—
910(C2×D43)⋊C4C2414yes—
911(C2×D43)⋊C4C2412yes—
912(C2×D43)⋊C4C2412yes—
913(C2×D43)⋊C4C2414yes—
914C4⋊Dic43C2412yes—
915C4⋊Dic43C2412yes—
916C4⋊Dic43C2412yes—
917C4⋊Dic43C2414yes—
918C4⋊Dic43C2414yes—
919C4⋊Dic43C2412yes—
920C4⋊Dic43C2414yes—
921C4⋊Dic43C2412yes—
922C4⋊Dic43C2412yes—
923C4⋊Dic43C2414yes—
924C4⋊Dic43C2414yes—
925C4⋊Dic43C2414yes—
926C4⋊Dic43C2414yes—
927C4⋊Dic43C2412yes—
928C4⋊Dic43C2414yes—
929C4⋊Dic43C2414yes—
930C4⋊Dic43C2414yes—
931C4⋊Dic43C2414yes—
932C4⋊Dic43C2412yes—
933C4⋊Dic43C2414yes—
934C4⋊Dic43C2411yescharacteristic
935C4⋊Dic43C2411yescharacteristic
936Dic43⋊C4C2414yes—
937Dic43⋊C4C2414yes—
938Dic43⋊C4C2414yes—
939Dic43⋊C4C2414yes—
940Dic43⋊C4C2414yes—
941Dic43⋊C4C2414yes—
942Dic43⋊C4C2414yes—
943Dic43⋊C4C2414yes—
944Dic43⋊C4C2414yes—
945Dic43⋊C4C2414yes—
946Dic43⋊C4C2414yes—
947Dic43⋊C4C2412yes—
948Dic43⋊C4C2414yes—
949Dic43⋊C4C2412yes—
950Dic43⋊C4C2414yes—
951Dic43⋊C4C2414yes—
952Dic43⋊C4C2412yes—
953Dic43⋊C4C2412yes—
954Dic43⋊C4C2412yes—
955Dic43⋊C4C2412yes—
956Dic43⋊C4C2412yes—
957Dic43⋊C4C2412yes—
958Dic43⋊C4C2412yes—
959Dic43⋊C4C2412yes—
960Dic43⋊C4C2414yes—
961Dic43⋊C4C2414yes—
962C4×Dic43C2411yescharacteristic
963C4×Dic43C2412yes—
964C4×Dic43C2412yes—
965C4×Dic43C2411yescharacteristic
966C4×Dic43C2411yescharacteristic
967C4×Dic43C2411yescharacteristic
968C4×Dic43C2411yescharacteristic
969C4×Dic43C2411yescharacteristic
970C4×Dic43C2411yescharacteristic
971C4×Dic43C2411yescharacteristic
972C4×Dic43C2411yescharacteristic
973C4×Dic43C2411yescharacteristic
974C4×Dic43C2411yescharacteristic
975C4×Dic43C2411yescharacteristic
976C4×Dic43C2411yescharacteristic
977C4×Dic43C2411yescharacteristic
978C4×Dic43C2411yescharacteristic
979C4×Dic43C2411yescharacteristic
980C4×Dic43C2412yes—
981C4×Dic43C2414yes—
982C4×Dic43C2414yes—
983C4×Dic43C2414yes—
984C4×Dic43C2412yes—
985C4×Dic43C2414yes—
986C4×Dic43C2412yes—
987C4×Dic43C2414yes—
988C4×Dic43C2414yes—
989C4×Dic43C2414yes—
990C4×Dic43C2414yes—
991C4×Dic43C2414yes—
992C23×C43—22no—
993C23×C43—22no—
994C23×C43—24no—
995C23×C43—41no—
996C23×C43—42no—
997C23×C43—42no—
998C23×C43C2514yes—
999C23×C43C2511yescharacteristic
1000C23×C43C2512yes—
1001C23×C43C2511yescharacteristic
1002C23×C43C2511yescharacteristic
1003C22×D43—24no—
1004C22×D43—42no—
1005C22×D43—42no—
1006C22×D43—44no—
1007C22×D43—44no—
1008C22×D43—44no—
1009C22×D43C2514yes—
1010C22×D43C2512yes—
1011Q8×C43—24no—
1012Q8×C43—42no—
1013Q8×C43—44no—
1014Q8×C43—41no—
1015D4×C43—28no—
1016D4×C43—24no—
1017D4×C43—24no—
1018D4×C43—24no—
1019D4×C43—42no—
1020D4×C43—44no—
1021D4×C43—44no—
1022D4×C43—41no—
1023D4×C43—44no—
1024D4×C43—42no—
1025C2×C4×C43—24no—
1026C2×C4×C43—22no—
1027C2×C4×C43—22no—
1028C2×C4×C43—22no—
1029C2×C4×C43—24no—
1030C2×C4×C43—41no—
1031C2×C4×C43—41no—
1032C2×C4×C43—41no—
1033C2×C4×C43—42no—
1034C2×C4×C43—42no—
1035C2×C4×C43—44no—
1036C2×C4×C43—44no—
1037C2×C4×C43—44no—
1038C2×C4×C43C2511yescharacteristic
1039C2×C4×C43C2511yescharacteristic
1040C2×C4×C43C2511yescharacteristic
1041C2×C4×C43C2514yes—
1042C2×C4×C43C2512yes—
1043C2×C4×C43C2514yes—
1044C2×C4×C43C2512yes—
1045C2×C4×C43C2514yes—
1046C2×C4×C43C2512yes—
1047C2×C4×C43C2511yescharacteristic
1048C22⋊D43—24no—
1049C22⋊D43—28no—
1050C22⋊D43—24no—
1051C22⋊D43—44no—
1052C22⋊D43—42no—
1053C22⋊D43—44no—
1054C22⋊D43—44no—
1055C22⋊D43—42no—
1056C22⋊D43—42no—
1057C22⋊D43—44no—
1058C22⋊D43—44no—
1059C22⋊D43—44no—
1060C22⋊D43—44no—
1061C2×Dic43—22no—
1062C2×Dic43—22no—
1063C2×Dic43—22no—
1064C2×Dic43—24no—
1065C2×Dic43—22no—
1066C2×Dic43—42no—
1067C2×Dic43—42no—
1068C2×Dic43—44no—
1069C2×Dic43—42no—
1070C2×Dic43—41no—
1071C2×Dic43—41no—
1072C2×Dic43—41no—
1073C2×Dic43—41no—
1074C2×Dic43—44no—
1075C2×Dic43—44no—
1076C2×Dic43—41no—
1077C2×Dic43—41no—
1078C2×Dic43—41no—
1079C2×Dic43—41no—
1080C2×Dic43—42no—
1081C2×Dic43—44no—
1082C2×Dic43C2511yescharacteristic
1083C2×Dic43C2511yescharacteristic
1084C2×Dic43C2511yescharacteristic
1085C2×Dic43C2511yescharacteristic
1086C2×Dic43C2511yescharacteristic
1087C2×Dic43C2511yescharacteristic
1088C2×Dic43C2512yes—
1089C2×Dic43C2511yescharacteristic
1090C2×Dic43C2512yes—
1091C2×Dic43C2514yes—
1092C2×Dic43C2512yes—
1093C2×Dic43C2514yes—
1094C2×Dic43C2511yescharacteristic
1095C2×Dic43C2514yes—
1096D172—24no—
1097D172—42no—
1098D172—41no—
1099D172—44no—
1100C4×D43—24no—
1101C4×D43—44no—
1102C4×D43—44no—
1103C4×D43—44no—
1104C4×D43—44no—
1105C4×D43—44no—
1106C4×D43—42no—
1107C4×D43—42no—
1108C4×D43—44no—
1109Dic86—24no—
1110Dic86—42no—
1111Dic86—41no—
1112Dic86—42no—
1113Dic86—42no—
1114Dic86—44no—
1115Dic86—44no—
1116#62829—431nomaximal, Sylow
1117C22×C43—21no—
1118C22×C43—21no—
1119C22×C43—21no—
1120C22×C43—21no—
1121C22×C43—24no—
1122C22×C43—24no—
1123C22×C43—24no—
1124C22×C43—21no—
1125C22×C43—21no—
1126C22×C43—21no—
1127C22×C43—22no—
1128C22×C43—22no—
1129C22×C43—22no—
1130C22×C43—44no—
1131C22×C43—84no—
1132C22×C43#58512yes—
1133C22×C43#58512yes—
1134C22×C43C2611yescharacteristic
1135C2×D43—24no—
1136C2×D43—22no—
1137C2×D43—24no—
1138C2×D43—22no—
1139C2×D43—24no—
1140C2×D43—22no—
1141C2×D43—84no—
1142C2×D43—164no—
1143C4×C43—22no—
1144C4×C43—21no—
1145C4×C43—22no—
1146C4×C43—24no—
1147C4×C43—21no—
1148C4×C43—24no—
1149C4×C43—22no—
1150C4×C43—24no—
1151C4×C43—21no—
1152C4×C43#58512yes—
1153Dic43—24no—
1154Dic43—22no—
1155Dic43—21no—
1156Dic43—21no—
1157Dic43—22no—
1158Dic43—24no—
1159Dic43—22no—
1160Dic43—24no—
1161Dic43—21no—
1162Dic43—21no—
1163Dic43—21no—
1164Dic43—21no—
1165Dic43—21no—
1166Dic43—21no—
1167#3566—434no—
1168#3566—434no—
1169#3564—432no—
1170#3564—432no—
1171#3560—432no—
1172#3560—432no—
1173#3557—432no—
1174#3551—432no—
1175#3538—431no—
1176#3537—431no—
1177#3536—431no—
1178#3536D4311yescharacteristic, complemented
1179#3516—432no—
1180#3516—432no—
1181#3515—432no—
1182#3515—432no—
1183#3514—432no—
1184#3514—432no—
1185#3513—432no—
1186#3513—434no—
1187#3513—434no—
1188#3513—432no—
1189#3512—432no—
1190#3510—432no—
1191#3493—432no—
1192#3493—432no—
1193#3491—432no—
1194#3491—432no—
1195#3444—431no—
1196C2×#529—431no—
1197C2×#529—431no—
1198C2×C43—22no—
1199C2×C43—22no—
1200C2×C43—44no—
1201C2×C43—42no—
1202C2×C43—41no—
1203C2×C43C2×#58511yescharacteristic
1204C2×C43C2×#58511yescharacteristic
1205C2×C43C2×#58511yescharacteristic
1206D43—44no—
1207D43—42no—
1208#563—434no—
1209#563—434no—
1210#563—434no—
1211#563—434no—
1212#562—434no—
1213#562C2×D4314yescomplemented
1214#560—434no—
1215#560—434no—
1216#559—434no—
1217#559—432no—
1218#559—434no—
1219#559—432no—
1220#557—432no—
1221#557—432no—
1222#556—434no—
1223#556—434no—
1224#556—432no—
1225#556—434no—
1226#556—434no—
1227#556—432no—
1228#555—434no—
1229#555—434no—
1230#555—434no—
1231#554—432no—
1232#554—434no—
1233#554—432no—
1234#554—434no—
1235#554—432no—
1236#554C2×D4312yescomplemented
1237#553—434no—
1238#553—434no—
1239#553—434no—
1240#553—434no—
1241#553—432no—
1242#553—434no—
1243#553—434no—
1244#553—434no—
1245#553—434no—
1246#553—432no—
1247#553—434no—
1248#553—434no—
1249#553—432no—
1250#553—432no—
1251#552—434no—
1252#552—434no—
1253#552—434no—
1254#552—434no—
1255#552—434no—
1256#552—434no—
1257#552—434no—
1258#552—434no—
1259#552—434no—
1260#552—434no—
1261#552—434no—
1262#552—432no—
1263#552—434no—
1264#552—432no—
1265#552—432no—
1266#552—432no—
1267#551—434no—
1268#551—434no—
1269#551—434no—
1270#551—434no—
1271#551—434no—
1272#551—434no—
1273#551—434no—
1274#551—434no—
1275#551—434no—
1276#551—434no—
1277#551—434no—
1278#551—434no—
1279#551—434no—
1280#551—434no—
1281D4×Q8—432no—
1282D4×Q8—432no—
1283#548—432no—
1284#548—432no—
1285#548—432no—
1286#548C2×D4312yescomplemented
1287#547—434no—
1288#547—432no—
1289#547—434no—
1290#547C2×D4312yescomplemented
1291#546—434no—
1292#546—432no—
1293#546—432no—
1294#546—434no—
1295#546—434no—
1296#546—434no—
1297#546—434no—
1298#546—432no—
1299#546C2×D4314yescomplemented
1300#546C2×D4312yescomplemented
1301D42—434no—
1302D42—432no—
1303D42—432no—
1304#544—432no—
1305#544—432no—
1306#543—432no—
1307#543C2×D4312yescomplemented
1308#542—432no—
1309#542—432no—
1310#542—434no—
1311#542—434no—
1312#542—434no—
1313#542—434no—
1314#542—434no—
1315#542—434no—
1316#542—432no—
1317#542C2×D4312yescomplemented
1318#541—434no—
1319#541—434no—
1320#541—432no—
1321#541—432no—
1322#541—434no—
1323#541—434no—
1324#540—432no—
1325#540—432no—
1326#540—434no—
1327#540—434no—
1328#539—434no—
1329#539—434no—
1330#539—434no—
1331#539—434no—
1332#539—434no—
1333#539—434no—
1334#539—432no—
1335#539—432no—
1336#539—434no—
1337#539—434no—
1338#539—432no—
1339#539C2×D4312yescomplemented
1340#538—434no—
1341#538—434no—
1342#538—434no—
1343#538—432no—
1344#538—432no—
1345#538—434no—
1346#538—434no—
1347#538—434no—
1348#538—434no—
1349#538—434no—
1350#538—432no—
1351#538C2×D4312yescomplemented
1352#537—432no—
1353#537—432no—
1354#537C2×D4312yescomplemented
1355#537C2×D4312yescomplemented
1356#536—432no—
1357#535—432no—
1358#534—432no—
1359#534—432no—
1360#533—432no—
1361#533—431no—
1362#533—431no—
1363#533—431no—
1364#532—431no—
1365#532—432no—
1366#532—431no—
1367#532—431no—
1368#529—432no—
1369#529—432no—
1370#529—432no—
1371#529—432no—
1372#529—432no—
1373#529—432no—
1374#529—432no—
1375#529—432no—
1376#529—432no—
1377#529—432no—
1378#529—431no—
1379#529—431no—
1380#529—434no—
1381#529—432no—
1382#529—432no—
1383#529—432no—
1384#529—432no—
1385#529—432no—
1386#529—432no—
1387#529—432no—
1388#529—432no—
1389#529—432no—
1390#529—431no—
1391#529—431no—
1392#529—434no—
1393#529—432no—
1394#529—432no—
1395#529—432no—
1396#529—432no—
1397#529—434no—
1398#529—434no—
1399#529—432no—
1400C2×#126—432no—
1401C2×#126—432no—
1402C2×#125—431no—
1403C2×#125—431no—
1404C2×#125—432no—
1405C2×#124—431no—
1406C2×#124—431no—
1407C2×#124—432no—
1408#525—434no—
1409#525—431no—
1410#525—432no—
1411#525—432no—
1412#525—434no—
1413#525C2×D4311yescharacteristic, complemented
1414C2×#123—432no—
1415C2×#123—434no—
1416C2×#123—432no—
1417C2×#123—434no—
1418C2×C22⋊Q8—431no—
1419C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1420C2×#121—431no—
1421C2×#121C2×D4311yescharacteristic
1422#520—434no—
1423#520—432no—
1424#520—434no—
1425#520—432no—
1426#519—432no—
1427#518—434no—
1428#518—432no—
1429#518—434no—
1430C4×#41—431no—
1431C4×#41—432no—
1432C4×#41—432no—
1433C4×#41—431no—
1434C2×C4×Q8—431no—
1435C2×C4×Q8—431no—
1436C2×C4×D4—432no—
1437C2×C4×D4—431no—
1438C2×C4×D4—431no—
1439C2×C4×D4—432no—
1440C2×#117—432no—
1441C2×#117—432no—
1442C22×C42—431no—
1443C43#6282911yescharacteristic, complemented, Sylow
1444C2×#41—432no—
1445C2×#41—432no—
1446C2×#41—434no—
1447C2×#41—431no—
1448C2×#41—432no—
1449C2×#41C22×D4311yescharacteristic
1450C2×#41C22×D4314yes—
1451C2×#41C22×D4312yes—
1452C22×Q8—432no—
1453C22×Q8—431no—
1454C22×Q8C22×D4311yescharacteristic
1455C22×D4—432no—
1456C22×D4—434no—
1457C22×D4—434no—
1458C22×D4—432no—
1459C22×D4—431no—
1460C22×D4C22×D4312yes—
1461C22×D4C22×D4311yescharacteristic
1462C23×C4—432no—
1463C23×C4—431no—
1464C23×C4—431no—
1465C23×C4—432no—
1466C23×C4C22×D4311yescharacteristic
1467C4⋊Q8—431no—
1468C4⋊Q8—432no—
1469C4⋊Q8—434no—
1470C4⋊Q8—434no—
1471C4⋊Q8—431no—
1472C4⋊Q8—431no—
1473C4⋊Q8—434no—
1474C4⋊Q8—434no—
1475C4⋊Q8—432no—
1476C4⋊Q8—434no—
1477C4⋊Q8C22×D4312yes—
1478#127—431no—
1479#127—432no—
1480#127—434no—
1481#126—434no—
1482#126—434no—
1483#126—434no—
1484#126—434no—
1485#126—432no—
1486#126—432no—
1487#126—434no—
1488#126—434no—
1489#126—434no—
1490#126—434no—
1491#126—434no—
1492#126—434no—
1493#126—434no—
1494#126—434no—
1495#126—434no—
1496#126—434no—
1497#126—434no—
1498#126—434no—
1499#126—434no—
1500#126—434no—
1501#126—434no—
1502#126—432no—
1503#126—432no—
1504#126—434no—
1505#126—434no—
1506#126—434no—
1507#126—434no—
1508#126—434no—
1509#126—434no—
1510#126—434no—
1511#126—434no—
1512#126—434no—
1513#126—434no—
1514#126—434no—
1515#126—434no—
1516#126C22×D4314yes—
1517#125—432no—
1518#125—432no—
1519#125—432no—
1520#125—432no—
1521#125—432no—
1522#125—432no—
1523#125—432no—
1524#125—432no—
1525#125—434no—
1526#125—434no—
1527#125—432no—
1528#125—432no—
1529#125—432no—
1530#125—432no—
1531#125—431no—
1532#125—431no—
1533#125—434no—
1534#125—434no—
1535#125—434no—
1536#125—434no—
1537#125—434no—
1538#125—434no—
1539#125—434no—
1540#125—434no—
1541#125—434no—
1542#125—434no—
1543#125—434no—
1544#125—434no—
1545#125—434no—
1546#125C22×D4314yes—
1547#124—432no—
1548#124—432no—
1549#124—432no—
1550#124—432no—
1551#124—431no—
1552#124—434no—
1553#124—432no—
1554#124—432no—
1555#124—432no—
1556#124—432no—
1557#124—431no—
1558#124—434no—
1559#124—434no—
1560#124—434no—
1561#124—432no—
1562#124—432no—
1563#124—434no—
1564#124—434no—
1565#124—434no—
1566#124—434no—
1567#124—434no—
1568#124—434no—
1569#124—434no—
1570#124—434no—
1571#124—432no—
1572#124C22×D4312yes—
1573#124C22×D4314yes—
1574#124C22×D4314yes—
1575#123—434no—
1576#123—434no—
1577#123—434no—
1578#123—434no—
1579#123—432no—
1580#123—432no—
1581#123—434no—
1582#123—434no—
1583#123—432no—
1584#123—434no—
1585#123—434no—
1586#123—434no—
1587#123—434no—
1588#123—434no—
1589#123—434no—
1590#123—434no—
1591#123—434no—
1592#123—434no—
1593#123—432no—
1594#123—434no—
1595#123—432no—
1596#123—434no—
1597#123—434no—
1598#123—434no—
1599#123—434no—
1600#123—434no—
1601#123—434no—
1602#123—434no—
1603#123—434no—
1604#123—434no—
1605#123—434no—
1606#123—434no—
1607#123—434no—
1608#123—434no—
1609#123—434no—
1610#123—434no—
1611#123—434no—
1612#123—434no—
1613#123—434no—
1614#123—434no—
1615#123—434no—
1616#123—434no—
1617#123—434no—
1618#123C22×D4314yes—
1619#123C22×D4312yes—
1620#123C22×D4314yes—
1621#123C22×D4314yes—
1622#123C22×D4314yes—
1623C22⋊Q8—434no—
1624C22⋊Q8—434no—
1625C22⋊Q8—432no—
1626C22⋊Q8—434no—
1627C22⋊Q8—434no—
1628C22⋊Q8—434no—
1629C22⋊Q8—434no—
1630C22⋊Q8—432no—
1631C22⋊Q8—432no—
1632C22⋊Q8—432no—
1633C22⋊Q8—432no—
1634C22⋊Q8—431no—
1635C22⋊Q8—431no—
1636C22⋊Q8—432no—
1637C22⋊Q8—434no—
1638C22⋊Q8—434no—
1639C22⋊Q8—434no—
1640C22⋊Q8—432no—
1641C22⋊Q8—434no—
1642C22⋊Q8—434no—
1643C22⋊Q8—434no—
1644C22⋊Q8—434no—
1645C22⋊Q8—434no—
1646C22⋊Q8—434no—
1647C22⋊Q8—434no—
1648C22⋊Q8—434no—
1649C22⋊Q8—432no—
1650C22⋊Q8—432no—
1651C22⋊Q8—432no—
1652C22⋊Q8—432no—
1653C22⋊Q8—434no—
1654C22⋊Q8—434no—
1655C22⋊Q8—434no—
1656C22⋊Q8—434no—
1657C22⋊Q8—434no—
1658C22⋊Q8—434no—
1659C22⋊Q8—434no—
1660C22⋊Q8C22×D4312yes—
1661C22⋊Q8C22×D4312yes—
1662C22⋊Q8C22×D4312yes—
1663C22⋊Q8C22×D4312yes—
1664C22⋊Q8C22×D4311yescharacteristic
1665C22⋊Q8C22×D4311yescharacteristic
1666C22⋊Q8C22×D4312yes—
1667C22⋊Q8C22×D4314yes—
1668C22⋊Q8C22×D4314yes—
1669C22⋊Q8C22×D4314yes—
1670C22⋊Q8C22×D4314yes—
1671C22⋊Q8C22×D4314yes—
1672C22⋊Q8C22×D4314yes—
1673#121—432no—
1674#121—432no—
1675#121—432no—
1676#121—432no—
1677#121—434no—
1678#121—434no—
1679#121—434no—
1680#121—434no—
1681#121—434no—
1682#121—432no—
1683#121—434no—
1684#121—434no—
1685#121—434no—
1686#121—434no—
1687#121—434no—
1688#121—434no—
1689#121—434no—
1690#121—434no—
1691#121—434no—
1692#121—434no—
1693#121—434no—
1694#121—432no—
1695#121—432no—
1696#121—432no—
1697#121—432no—
1698#121—431no—
1699#121—431no—
1700#121—434no—
1701#121—432no—
1702#121—434no—
1703#121—432no—
1704#121—434no—
1705#121—434no—
1706#121—434no—
1707#121C22×D4312yes—
1708#121C22×D4312yes—
1709#121C22×D4312yes—
1710#121C22×D4312yes—
1711#121C22×D4311yescharacteristic
1712#121C22×D4311yescharacteristic
1713#121C22×D4314yes—
1714#121C22×D4312yes—
1715#121C22×D4314yes—
1716#121C22×D4314yes—
1717#121C22×D4314yes—
1718#121C22×D4314yes—
1719#120—432no—
1720#120—434no—
1721#120—434no—
1722#120—434no—
1723#120—434no—
1724#120—434no—
1725#120—434no—
1726#120—434no—
1727#120—434no—
1728#120—434no—
1729#120C22×D4312yes—
1730#120C22×D4314yes—
1731C4×Q8—432no—
1732C4×Q8—432no—
1733C4×Q8—432no—
1734C4×Q8—432no—
1735C4×Q8—431no—
1736C4×Q8—431no—
1737C4×Q8—432no—
1738C4×Q8—434no—
1739C4×Q8—434no—
1740C4×Q8—432no—
1741C4×Q8—432no—
1742C4×Q8—432no—
1743C4×Q8—432no—
1744C4×Q8—432no—
1745C4×Q8—432no—
1746C4×Q8—431no—
1747C4×Q8—431no—
1748C4×Q8—434no—
1749C4×Q8—432no—
1750C4×Q8—434no—
1751C4×Q8—432no—
1752C4×Q8—432no—
1753C4×Q8—434no—
1754C4×Q8—432no—
1755C4×Q8—434no—
1756C4×Q8C22×D4312yes—
1757C4×D4—434no—
1758C4×D4—432no—
1759C4×D4—432no—
1760C4×D4—434no—
1761C4×D4—434no—
1762C4×D4—432no—
1763C4×D4—432no—
1764C4×D4—434no—
1765C4×D4—432no—
1766C4×D4—432no—
1767C4×D4—432no—
1768C4×D4—432no—
1769C4×D4—431no—
1770C4×D4—431no—
1771C4×D4—434no—
1772C4×D4—434no—
1773C4×D4—434no—
1774C4×D4—434no—
1775C4×D4—434no—
1776C4×D4—432no—
1777C4×D4—434no—
1778C4×D4—432no—
1779C4×D4—432no—
1780C4×D4—432no—
1781C4×D4—432no—
1782C4×D4—434no—
1783C4×D4—434no—
1784C4×D4—434no—
1785C4×D4—434no—
1786C4×D4—434no—
1787C4×D4—434no—
1788C4×D4—434no—
1789C4×D4—434no—
1790C4×D4—434no—
1791C4×D4—434no—
1792C4×D4—434no—
1793C4×D4—432no—
1794C4×D4—432no—
1795C4×D4—432no—
1796C4×D4—432no—
1797C4×D4—431no—
1798C4×D4—431no—
1799C4×D4—434no—
1800C4×D4—432no—
1801C4×D4—434no—
1802C4×D4—434no—
1803C4×D4—434no—
1804C4×D4—434no—
1805C4×D4—432no—
1806C4×D4—432no—
1807C4×D4—432no—
1808C4×D4—432no—
1809C4×D4—432no—
1810C4×D4—432no—
1811C4×D4—434no—
1812C4×D4—434no—
1813C4×D4—434no—
1814C4×D4—434no—
1815C4×D4—434no—
1816C4×D4—434no—
1817C4×D4—432no—
1818C4×D4C22×D4312yes—
1819C4×D4C22×D4312yes—
1820C4×D4C22×D4314yes—
1821C4×D4C22×D4312yes—
1822C4×D4C22×D4314yes—
1823#117—432no—
1824#117—431no—
1825#117—434no—
1826#117—434no—
1827#117—434no—
1828#117—434no—
1829#117—434no—
1830#117—434no—
1831#117—434no—
1832#117—434no—
1833#117—432no—
1834#117—432no—
1835#117—434no—
1836#117—432no—
1837#117—434no—
1838#117—432no—
1839#117—434no—
1840#117—434no—
1841#117—434no—
1842#117—434no—
1843#117—434no—
1844#117—432no—
1845#117—432no—
1846#117—432no—
1847#117—432no—
1848#117—434no—
1849#117—434no—
1850#117—434no—
1851#117—434no—
1852#117—432no—
1853#117—434no—
1854#117—434no—
1855#117—434no—
1856#117C22×D4311yescharacteristic
1857C2×C4⋊C4—432no—
1858C2×C4⋊C4—432no—
1859C2×C4⋊C4—432no—
1860C2×C4⋊C4—431no—
1861C2×C4⋊C4—432no—
1862C2×C4⋊C4—432no—
1863C2×C4⋊C4—431no—
1864C2×C4⋊C4—432no—
1865C2×C4⋊C4—432no—
1866C2×C4⋊C4—434no—
1867C2×C4⋊C4—434no—
1868C2×C4⋊C4—432no—
1869C2×C4⋊C4—434no—
1870C2×C4⋊C4—434no—
1871C2×C4⋊C4—434no—
1872C2×C4⋊C4—434no—
1873C2×C4⋊C4C22×D4312yes—
1874C2×C4⋊C4C22×D4311yescharacteristic
1875C2×C4⋊C4C22×D4311yescharacteristic
1876C2×C4⋊C4C22×D4312yes—
1877C2×C22⋊C4—432no—
1878C2×C22⋊C4—432no—
1879C2×C22⋊C4—432no—
1880C2×C22⋊C4—432no—
1881C2×C22⋊C4—432no—
1882C2×C22⋊C4—432no—
1883C2×C22⋊C4—432no—
1884C2×C22⋊C4—432no—
1885C2×C22⋊C4—434no—
1886C2×C22⋊C4—434no—
1887C2×C22⋊C4—434no—
1888C2×C22⋊C4—434no—
1889C2×C22⋊C4—434no—
1890C2×C22⋊C4—434no—
1891C2×C22⋊C4—434no—
1892C2×C22⋊C4C22×D4312yes—
1893C2×C22⋊C4C22×D4312yes—
1894C2×C22⋊C4C22×D4314yes—
1895C2×C42—431no—
1896C2×C42—431no—
1897C2×C42—432no—
1898C2×C42—432no—
1899C2×C42—431no—
1900C2×C42—431no—
1901C2×C42—432no—
1902C2×C42—431no—
1903C2×C42—431no—
1904C2×C42—431no—
1905C2×C42—431no—
1906C2×C42—431no—
1907C2×C42—431no—
1908C2×C42—431no—
1909C2×C42—431no—
1910C2×C42—432no—
1911C24—432no—
1912C24—434no—
1913C24C23×D4311yescharacteristic
1914C24C23×D4312yes—
1915#41—42no—
1916#41—48no—
1917#41—44no—
1918#41—1722no—
1919#41—1724no—
1920#41—1724no—
1921#41—1724no—
1922#41—1728no—
1923C2×Q8—42no—
1924C2×Q8—432no—
1925C2×Q8—434no—
1926C2×Q8—432no—
1927C2×Q8—432no—
1928C2×Q8—432no—
1929C2×Q8—434no—
1930C2×Q8—431no—
1931C2×Q8—1722no—
1932C2×Q8—1724no—
1933C2×Q8C23×D4312yes—
1934C2×Q8C23×D4311yescharacteristic
1935C2×Q8C23×D4314yes—
1936C2×Q8C23×D4312yes—
1937C2×D4—42no—
1938C2×D4—44no—
1939C2×D4—432no—
1940C2×D4—432no—
1941C2×D4—434no—
1942C2×D4—432no—
1943C2×D4—434no—
1944C2×D4—434no—
1945C2×D4—432no—
1946C2×D4—432no—
1947C2×D4—434no—
1948C2×D4—434no—
1949C2×D4—434no—
1950C2×D4—434no—
1951C2×D4—434no—
1952C2×D4—432no—
1953C2×D4—431no—
1954C2×D4—432no—
1955C2×D4—434no—
1956C2×D4—1722no—
1957C2×D4—1724no—
1958C2×D4—1728no—
1959C2×D4—1724no—
1960C2×D4—1728no—
1961C2×D4C23×D4312yes—
1962C2×D4C23×D4314yes—
1963C2×D4C23×D4312yes—
1964C2×D4C23×D4312yes—
1965C2×D4C23×D4312yes—
1966C2×D4C23×D4314yes—
1967C2×D4C23×D4314yes—
1968C2×D4C23×D4314yes—
1969C2×D4C23×D4312yes—
1970C2×D4C23×D4311yescharacteristic
1971C22×C4—42no—
1972C22×C4—431no—
1973C22×C4—431no—
1974C22×C4—431no—
1975C22×C4—431no—
1976C22×C4—432no—
1977C22×C4—431no—
1978C22×C4—431no—
1979C22×C4—431no—
1980C22×C4—431no—
1981C22×C4—431no—
1982C22×C4—431no—
1983C22×C4—431no—
1984C22×C4—431no—
1985C22×C4—432no—
1986C22×C4—432no—
1987C22×C4—432no—
1988C22×C4—432no—
1989C22×C4—434no—
1990C22×C4—434no—
1991C22×C4—434no—
1992C22×C4—434no—
1993C22×C4—432no—
1994C22×C4—432no—
1995C22×C4—432no—
1996C22×C4—434no—
1997C22×C4—434no—
1998C22×C4—434no—
1999C22×C4—434no—
2000C22×C4—434no—
2001C22×C4—434no—
2002C22×C4—1724no—
2003C22×C4—1722no—
2004C22×C4—1722no—
2005C22×C4—1724no—
2006C22×C4C23×D4311yescharacteristic
2007C22×C4C23×D4311yescharacteristic
2008C22×C4C23×D4311yescharacteristic
2009C22×C4C23×D4312yes—
2010C22×C4C23×D4312yes—
2011C22×C4C23×D4311yescharacteristic
2012C22×C4C23×D4311yescharacteristic
2013C22×C4C23×D4311yescharacteristic
2014C22×C4C23×D4312yes—
2015C22×C4C23×D4312yes—
2016C22×C4C23×D4314yes—
2017C22×C4C23×D4314yes—
2018C22×C4C23×D4314yes—
2019C4⋊C4—434no—
2020C4⋊C4—434no—
2021C4⋊C4—434no—
2022C4⋊C4—434no—
2023C4⋊C4—432no—
2024C4⋊C4—432no—
2025C4⋊C4—432no—
2026C4⋊C4—434no—
2027C4⋊C4—434no—
2028C4⋊C4—432no—
2029C4⋊C4—434no—
2030C4⋊C4—434no—
2031C4⋊C4—432no—
2032C4⋊C4—432no—
2033C4⋊C4—434no—
2034C4⋊C4—434no—
2035C4⋊C4—434no—
2036C4⋊C4—434no—
2037C4⋊C4—434no—
2038C4⋊C4—434no—
2039C4⋊C4—434no—
2040C4⋊C4—432no—
2041C4⋊C4—434no—
2042C4⋊C4—434no—
2043C4⋊C4—434no—
2044C4⋊C4—434no—
2045C4⋊C4—434no—
2046C4⋊C4—432no—
2047C4⋊C4—434no—
2048C4⋊C4—434no—
2049C4⋊C4—432no—
2050C4⋊C4—432no—
2051C4⋊C4—434no—
2052C4⋊C4—434no—
2053C4⋊C4—432no—
2054C4⋊C4—432no—
2055C4⋊C4—434no—
2056C4⋊C4—434no—
2057C4⋊C4—434no—
2058C4⋊C4—432no—
2059C4⋊C4—432no—
2060C4⋊C4—432no—
2061C4⋊C4—432no—
2062C4⋊C4—432no—
2063C4⋊C4—432no—
2064C4⋊C4—431no—
2065C4⋊C4—431no—
2066C4⋊C4—434no—
2067C4⋊C4C23×D4314yes—
2068C4⋊C4C23×D4314yes—
2069C4⋊C4C23×D4312yes—
2070C4⋊C4C23×D4312yes—
2071C4⋊C4C23×D4314yes—
2072C4⋊C4C23×D4314yes—
2073C4⋊C4C23×D4312yes—
2074C4⋊C4C23×D4312yes—
2075C4⋊C4C23×D4314yes—
2076C4⋊C4C23×D4312yes—
2077C4⋊C4C23×D4312yes—
2078C4⋊C4C23×D4314yes—
2079C4⋊C4C23×D4311yescharacteristic
2080C4⋊C4C23×D4311yescharacteristic
2081C22⋊C4—434no—
2082C22⋊C4—434no—
2083C22⋊C4—434no—
2084C22⋊C4—434no—
2085C22⋊C4—434no—
2086C22⋊C4—434no—
2087C22⋊C4—434no—
2088C22⋊C4—434no—
2089C22⋊C4—432no—
2090C22⋊C4—432no—
2091C22⋊C4—432no—
2092C22⋊C4—432no—
2093C22⋊C4—432no—
2094C22⋊C4—432no—
2095C22⋊C4—434no—
2096C22⋊C4—434no—
2097C22⋊C4—432no—
2098C22⋊C4—434no—
2099C22⋊C4—434no—
2100C22⋊C4—434no—
2101C22⋊C4—432no—
2102C22⋊C4—432no—
2103C22⋊C4—434no—
2104C22⋊C4—432no—
2105C22⋊C4—432no—
2106C22⋊C4—434no—
2107C22⋊C4—434no—
2108C22⋊C4—434no—
2109C22⋊C4—434no—
2110C22⋊C4—434no—
2111C22⋊C4—434no—
2112C22⋊C4—434no—
2113C22⋊C4—434no—
2114C22⋊C4—434no—
2115C22⋊C4—434no—
2116C22⋊C4—434no—
2117C22⋊C4—434no—
2118C22⋊C4—434no—
2119C22⋊C4—434no—
2120C22⋊C4—434no—
2121C22⋊C4—432no—
2122C22⋊C4—432no—
2123C22⋊C4C23×D4312yes—
2124C22⋊C4C23×D4314yes—
2125C22⋊C4C23×D4314yes—
2126C22⋊C4C23×D4314yes—
2127C22⋊C4C23×D4314yes—
2128C22⋊C4C23×D4314yes—
2129C22⋊C4C23×D4312yes—
2130C22⋊C4C23×D4314yes—
2131C22⋊C4C23×D4314yes—
2132C22⋊C4C23×D4314yes—
2133C22⋊C4C23×D4312yes—
2134C22⋊C4C23×D4314yes—
2135C22⋊C4C23×D4312yes—
2136C22⋊C4C23×D4312yes—
2137C42—431no—
2138C42—431no—
2139C42—431no—
2140C42—431no—
2141C42—431no—
2142C42—431no—
2143C42—431no—
2144C42—431no—
2145C42—431no—
2146C42—431no—
2147C42—431no—
2148C42—431no—
2149C42—431no—
2150C42—431no—
2151C42—431no—
2152C42—431no—
2153C42—432no—
2154C42—432no—
2155C42—434no—
2156C42—434no—
2157C42—434no—
2158C42—434no—
2159C42—432no—
2160C42—432no—
2161C42—432no—
2162C42—434no—
2163C42—434no—
2164C42—434no—
2165C42—434no—
2166C42—434no—
2167C42C23×D4312yes—
2168C42C23×D4314yes—
2169C23—22no—
2170C23—22no—
2171C23—24no—
2172C23—41no—
2173C23—42no—
2174C23—42no—
2175C23—432no—
2176C23—434no—
2177C23—864no—
2178C23—1722no—
2179C23—1722no—
2180C23—1724no—
2181C23—1724no—
2182C23—1724no—
2183C23C24×D4314yes—
2184C23C24×D4311yescharacteristic
2185C23C24×D4312yes—
2186C23C24×D4311yescharacteristic
2187C23C24×D4311yescharacteristic
2188Q8—24no—
2189Q8—42no—
2190Q8—41no—
2191Q8—44no—
2192Q8—864no—
2193Q8—1722no—
2194Q8—1724no—
2195Q8—1721no—
2196Q8—1722no—
2197Q8—1724no—
2198Q8—1722no—
2199D4—28no—
2200D4—24no—
2201D4—24no—
2202D4—24no—
2203D4—42no—
2204D4—44no—
2205D4—42no—
2206D4—44no—
2207D4—41no—
2208D4—44no—
2209D4—864no—
2210D4—868no—
2211D4—864no—
2212D4—864no—
2213D4—1722no—
2214D4—1724no—
2215D4—1721no—
2216D4—1724no—
2217D4—1724no—
2218D4—1724no—
2219D4—1724no—
2220D4—1724no—
2221D4—1722no—
2222D4—1722no—
2223D4—1724no—
2224D4—1724no—
2225D4—1722no—
2226C2×C4—24no—
2227C2×C4—22no—
2228C2×C4—22no—
2229C2×C4—22no—
2230C2×C4—24no—
2231C2×C4—41no—
2232C2×C4—41no—
2233C2×C4—41no—
2234C2×C4—42no—
2235C2×C4—42no—
2236C2×C4—44no—
2237C2×C4—44no—
2238C2×C4—44no—
2239C2×C4—431no—
2240C2×C4—431no—
2241C2×C4—431no—
2242C2×C4—431no—
2243C2×C4—431no—
2244C2×C4—431no—
2245C2×C4—432no—
2246C2×C4—434no—
2247C2×C4—431no—
2248C2×C4—431no—
2249C2×C4—432no—
2250C2×C4—432no—
2251C2×C4—434no—
2252C2×C4—434no—
2253C2×C4—862no—
2254C2×C4—862no—
2255C2×C4—862no—
2256C2×C4—862no—
2257C2×C4—864no—
2258C2×C4—864no—
2259C2×C4—1724no—
2260C2×C4—1724no—
2261C2×C4—1724no—
2262C2×C4—1724no—
2263C2×C4—1724no—
2264C2×C4—1722no—
2265C2×C4—1722no—
2266C2×C4—1724no—
2267C2×C4—1721no—
2268C2×C4—1721no—
2269C2×C4—1721no—
2270C2×C4—1721no—
2271C2×C4—1721no—
2272C2×C4—1721no—
2273C2×C4—1724no—
2274C2×C4—1724no—
2275C2×C4—1721no—
2276C2×C4—1721no—
2277C2×C4—1722no—
2278C2×C4—1724no—
2279C2×C4—1722no—
2280C2×C4—1722no—
2281C2×C4—1722no—
2282C2×C4—1724no—
2283C2×C4C24×D4311yescharacteristic
2284C2×C4C24×D4311yescharacteristic
2285C2×C4C24×D4311yescharacteristic
2286C2×C4C24×D4312yes—
2287C2×C4C24×D4314yes—
2288C2×C4C24×D4314yes—
2289C2×C4C24×D4312yes—
2290C2×C4C24×D4314yes—
2291C2×C4C24×D4312yes—
2292C2×C4C24×D4311yescharacteristic
2293C22—21no—
2294C22—21no—
2295C22—21no—
2296C22—21no—
2297C22—21no—
2298C22—22no—
2299C22—22no—
2300C22—24no—
2301C22—24no—
2302C22—21no—
2303C22—22no—
2304C22—24no—
2305C22—21no—
2306C22—44no—
2307C22—84no—
2308C22—862no—
2309C22—864no—
2310C22—864no—
2311C22—862no—
2312C22—864no—
2313C22—862no—
2314C22—3444no—
2315C22—6884no—
2316C22#1458373412yes—
2317C22#1458373612yes—
2318C22C25×D4311yescharacteristic
2319C4—24no—
2320C4—22no—
2321C4—21no—
2322C4—21no—
2323C4—21no—
2324C4—24no—
2325C4—22no—
2326C4—24no—
2327C4—22no—
2328C4—861no—
2329C4—861no—
2330C4—861no—
2331C4—861no—
2332C4—862no—
2333C4—862no—
2334C4—864no—
2335C4—861no—
2336C4—861no—
2337C4—861no—
2338C4—864no—
2339C4—861no—
2340C4—862no—
2341C4—864no—
2342C4#1458373412yes—
2343C2—22no—
2344C2—22no—
2345C2—41no—
2346C2—44no—
2347C2—42no—
2348C2—1724no—
2349C2—1722no—
2350C2C2×#1458373411yescharacteristic
2351C2C2×#1458373411yescharacteristic
2352C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3536C2
hypercenter#3536D43
hypocenterC43#62829
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3536

Complements

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

NH ≅ G/Ntype
1. #19149268C2semidirect
2. #19149260C2semidirect
3. #19149224C2semidirect
4. #19149209C2semidirect
5. #19149149C2semidirect
6. #19149144C2semidirect
7. #19149094C2semidirect
8. #19149013C2semidirect
9. #19148840C2semidirect
10. #19148830C2semidirect
11. #19148822C2semidirect
12. #19148585C2semidirect
13. #19148577C2semidirect
14. #19148574C2semidirect
15. #19148564C2semidirect
16. #19148553C2semidirect
17. #19148549C2semidirect
18. #19148536C2semidirect
19. #19148536C2semidirect
20. #19148530C2semidirect
21. #19148528C2semidirect
22. #19148516C2semidirect
23. #19148487C2semidirect
24. #19148314C2semidirect
25. #19148310C2semidirect
26. #19148294C2semidirect
27. #19148289C2semidirect
28. #19147887C2semidirect
29. C2×#14583435C2semidirect
30. C2×#14583430C2semidirect
31. C43×#3536C2semidirect
32. #14583651C22semidirect
33. #14583650C22semidirect
34. #14583650C22semidirect
35. #14583650C22semidirect
36. #14583646C22semidirect
38. #14583637C22semidirect
39. #14583633C22semidirect
40. #14583632C22semidirect
41. #14583631C22semidirect
42. #14583631C22semidirect
43. #14583628C22semidirect
44. #14583624C22semidirect
45. #14583621C22semidirect
46. #14583620C22semidirect
47. #14583620C22semidirect
48. #14583618C22semidirect
49. #14583618C22semidirect
50. #14583616C22semidirect
51. #14583613C22semidirect
52. #14583613C22semidirect
53. #14583611C22semidirect
54. #14583610C22semidirect
55. #14583606C22semidirect
56. #14583606C22semidirect
57. #14583606C22semidirect
58. #14583603C22semidirect
60. #14583601C22semidirect
61. #14583601C22semidirect
62. #14583601C22semidirect
63. #14583601C22semidirect
64. #14583601C22semidirect
65. #14583601C22semidirect
66. #14583598C22semidirect
68. #14583597C22semidirect
69. #14583596C22semidirect
70. #14583594C22semidirect
71. #14583592C22semidirect
72. #14583592C22semidirect
73. #14583591C22semidirect
74. #14583591C22semidirect
75. #14583591C22semidirect
76. #14583591C22semidirect
77. #14583591C22semidirect
78. #14583591C22semidirect
79. #14583591C22semidirect
80. #14583591C22semidirect
81. #14583587C22semidirect
82. #14583586C22semidirect
83. #14583586C22semidirect
84. #14583585C22semidirect
85. #14583584C22semidirect
86. #14583584C22semidirect
87. #14583583C22semidirect
88. #14583581C22semidirect
89. #14583579C22semidirect
90. #14583578C22semidirect
91. #14583577C22semidirect
92. #14583576C22semidirect
93. #14583576C22semidirect
94. #14583576C22semidirect
95. #14583576C22semidirect
96. #14583575C22semidirect
97. #14583575C22semidirect
98. #14583575C22semidirect
99. #14583574C22semidirect
100. #14583572C22semidirect
101. #14583572C22semidirect
102. #14583572C22semidirect
103. Q8×C22⋊D43C22semidirect
104. #14583562C22semidirect
105. #14583559C22semidirect
106. #14583558C22semidirect
107. #14583556C22semidirect
108. #14583553C22semidirect
109. #14583553C22semidirect
110. #14583548C22semidirect
111. #14583546C22semidirect
112. #14583545C22semidirect
113. #14583538C22semidirect
114. #14583537C22semidirect
115. #14583537C22semidirect
116. #14583536C22semidirect
117. #14583536C22semidirect
118. #14583536C22semidirect
122. #14583530C22semidirect
123. #14583528C22semidirect
124. #14583524C22semidirect
125. #14583523C22semidirect
126. #14583520C22semidirect
127. #14583519C22semidirect
128. #14583519C22semidirect
129. #14583518C22semidirect
130. #14583518C22semidirect
131. #14583518C22semidirect
132. #14583517C22semidirect
133. #14583513C22semidirect
134. #14583512C22semidirect
135. #14583509C22semidirect
136. #14583509C22semidirect
137. #14583509C22semidirect
138. #14583509C22semidirect
139. #14583508C22semidirect
141. #14583502C22semidirect
142. #14583502C22semidirect
143. #14583499C22semidirect
144. #14583498C22semidirect
145. #14583498C22semidirect
146. #14583498C22semidirect
147. #14583498C22semidirect
148. #14583496C22semidirect
149. #14583495C22semidirect
150. #14583493C22semidirect
151. #14583493C22semidirect
152. #14583493C22semidirect
153. #14583493C22semidirect
154. #14583492C22semidirect
157. #14583486C22semidirect
158. #14583486C22semidirect
159. #14583486C22semidirect
160. #14583486C22semidirect
161. #14583485C22semidirect
162. #14583484C22semidirect
163. #14583483C22semidirect
164. #14583481C22semidirect
165. #14583481C22semidirect
166. #14583477C22semidirect
167. #14583476C22semidirect
168. #14583472C22semidirect
172. #14583454C22semidirect
173. #14583452C22semidirect
174. #14583451C22semidirect
175. #14583451C22semidirect
176. #14583445C22semidirect
177. #14583445C22semidirect
178. #14583444C22semidirect
179. #14583444C22semidirect
180. #14583436C22semidirect
181. #14583435C22semidirect
182. #14583435C22semidirect
183. #14583435C22semidirect
184. #14583435C22semidirect
185. #14583435C22semidirect
186. #14583435C22semidirect
187. #14583435C22semidirect
188. #14583435C22semidirect
189. #14583435C22semidirect
190. #14583435C22semidirect
191. #14583435C22semidirect
192. #14583435C22semidirect
193. #14583431C22semidirect
194. #14583430C22semidirect
195. #14583430C22semidirect
196. #14583430C22semidirect
197. #14583430C22semidirect
198. #14583430C22semidirect
199. #14583430C22semidirect
200. #14583430C22semidirect
201. #14583430C22semidirect
202. #14583430C22semidirect
203. #14583430C22semidirect
204. #14583430C22semidirect
205. #14583430C22semidirect
206. #14583429C22semidirect
207. #14583429C22semidirect
208. #14583429C22semidirect
209. #14583429C22semidirect
210. #14583426C22semidirect
211. #14583426C22semidirect
212. C2×#13063320C22semidirect
213. C2×#13063318C22semidirect
214. C2×#13063316C22semidirect
215. C2×#13063316C22semidirect
216. C2×#13063316C22semidirect
217. C2×#13063314C22semidirect
218. C2×#13063312C22semidirect
219. #124×D43C22semidirect
221. #14583406C22semidirect
222. #14583405C22semidirect
223. #14583405C22semidirect
224. #14583405C22semidirect
225. C2×#13063309C22semidirect
226. C2×#13063309C22semidirect
227. C2×#13063306C22semidirect
228. #123×D43C22semidirect
229. C2×#13063304C22semidirect
231. #14583382C22semidirect
232. #14583382C22semidirect
233. #14583380C22semidirect
234. #14583378C22semidirect
235. #14583375C22semidirect
236. #14583372C22semidirect
237. #14583371C22semidirect
238. #14583371C22semidirect
239. #41×Dic43C22semidirect
240. #14583367C22semidirect
241. C4×#10621900C22semidirect
242. C4×#10621900C22semidirect
243. C2×Q8×Dic43C22semidirect
244. C2×#13063290C22semidirect
245. C2×D4×Dic43C22semidirect
246. C2×D4×Dic43C22semidirect
247. C2×#13063287C22semidirect
248. C2×(C22⋊D43)⋊C4C22semidirect
249. C2×#13063283C22semidirect
250. C2×#13063281C22semidirect
251. C22×C4×Dic43C22semidirect
252. C43×#562C22semidirect
253. C43×#554C22semidirect
254. C43×#548C22semidirect
255. C43×#547C22semidirect
256. C43×#546C22semidirect
257. C43×#546C22semidirect
258. C43×#543C22semidirect
259. C43×#542C22semidirect
260. C43×#539C22semidirect
261. C43×#538C22semidirect
262. C43×#537C22semidirect
263. C43×#537C22semidirect
264. C43×#525C22semidirect
265. C2×C22⋊Q8×C43C22semidirect
1178. #3536D43semidirect
1213. #562C2×D43semidirect
1236. #554C2×D43semidirect
1286. #548C2×D43semidirect
1290. #547C2×D43semidirect
1299. #546C2×D43semidirect
1300. #546C2×D43semidirect
1307. #543C2×D43semidirect
1317. #542C2×D43semidirect
1339. #539C2×D43semidirect
1351. #538C2×D43semidirect
1354. #537C2×D43semidirect
1355. #537C2×D43semidirect
1413. #525C2×D43semidirect
1419. C2×C22⋊Q8C2×D43semidirect
1443. C43#62829semidirect

Maximal subgroups

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

subgroupindex
#191492682
#191492602
#191492242
#191492092
#191491492
#191491442
#191490942
#191490132
#191488402
#191488302
#191488222
#191485852
#191485772
#191485742
#191485642
#191485532
#191485492
#191485362
#191485302
#191485282
#191485162
#191484872
#191483142
#191483102
#191482942
#191482892
#191478872
C2×#145834352
C2×#145834302
C43×#35362
#6282943