Finite Group Databasebeta

← #26005295

Subgroups — #26005295

Order 11008.

6538 conjugacy classes of subgroups.

The subgroup lattice has 2310 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149221C212yesmaximal, complemented
2#19149220C214yesmaximal, complemented
3#19149209C212yesmaximal, complemented
4#19149205C211yesmaximal, characteristic, complemented
5#19149198C211yesmaximal, characteristic, complemented
6#19149195C212yesmaximal, complemented
7#19149167C211yesmaximal, characteristic, complemented
8#19149157C212yesmaximal, complemented
9#19149050C212yesmaximal, complemented
10#19149046C212yesmaximal, complemented
11#19149031C212yesmaximal, complemented
12#19149027C212yesmaximal, complemented
13#19148690C212yesmaximal, complemented
14#19148682C212yesmaximal, complemented
15#19148637C212yesmaximal, complemented
16#19148631C212yesmaximal, complemented
17#19148583C212yesmaximal, complemented
18#19148582C214yesmaximal, complemented
19#19148581C212yesmaximal, complemented
20#19148433C212yesmaximal, complemented
21#19148422C212yesmaximal, complemented
22#19148395C212yesmaximal, complemented
23#19148390C212yesmaximal, complemented
24#19148345C212yesmaximal, complemented
25#19148344C212yesmaximal, complemented
26#19148334C214yesmaximal, complemented
27#19148286C214yesmaximal, complemented
28#533×D43C211yesmaximal, characteristic, complemented
29C2×#14583428C211yesmaximal, characteristic, complemented
30#529×D43C211yesmaximal, characteristic, complemented
31C43×#3561C211yesmaximal, characteristic, complemented
32C43⋊#564C2212yescomplemented
33C43⋊#564C2212yescomplemented
34#14583653C2212yescomplemented
35#14583652C2214yescomplemented
36#14583650C2214yescomplemented
37#14583650C2214yescomplemented
38#14583649C2212yescomplemented
39#14583649C2212yescomplemented
40#14583649C2214yescomplemented
41#14583643C2212yescomplemented
42#14583627C2212yescomplemented
43#14583625C2212yescomplemented
44#14583625C2212yescomplemented
45#14583624C2214yescomplemented
46#14583624C2212yescomplemented
47#14583620C2214yescomplemented
48#14583620C2214yescomplemented
49#14583620C2212yescomplemented
50#14583618C2214yescomplemented
51#14583618C2212yescomplemented
52#14583618C2214yescomplemented
53#14583618C2212yescomplemented
54#14583616C2214yescomplemented
55#14583610C2214yescomplemented
56#14583609C2212yescomplemented
57#14583608C2214yescomplemented
58#14583607C2212yescomplemented
59#14583607C2214yescomplemented
60#14583607C2214yescomplemented
61#14583607C2212yescomplemented
62#14583606C2212yescomplemented
63#14583603C2214yescomplemented
64#14583603C2214yescomplemented
65#14583603C2214yescomplemented
66#14583603C2214yescomplemented
67#14583603C2214yescomplemented
68#14583603C2214yescomplemented
69#14583600C2214yescomplemented
70#14583599C2212yescomplemented
71#14583596C2212yescomplemented
72#14583596C2214yescomplemented
73#14583596C2214yescomplemented
74#14583594C2214yescomplemented
75#14583594C2214yescomplemented
76#14583591C2214yescomplemented
77#14583591C2212yescomplemented
78#14583591C2214yescomplemented
79#14583590C2212yescomplemented
80#14583589C2214yescomplemented
81#14583589C2212yescomplemented
82#14583589C2212yescomplemented
83#14583589C2214yescomplemented
84#14583588C2214yescomplemented
85#14583586C2214yescomplemented
86#14583586C2214yescomplemented
87#14583586C2214yescomplemented
88#14583586C2214yescomplemented
89#14583586C2214yescomplemented
90#14583585C2214yescomplemented
91#14583585C2214yescomplemented
92#14583585C2214yescomplemented
93#14583585C2214yescomplemented
94#14583583C2214yescomplemented
95#14583583C2214yescomplemented
96#14583582C2214yescomplemented
97#14583582C2214yescomplemented
98#14583580C2214yescomplemented
99#14583580C2214yescomplemented
100#14583579C2214yescomplemented
101#14583579C2214yescomplemented
102#14583578C2214yescomplemented
103#14583577C2214yescomplemented
104#14583575C2214yescomplemented
105#14583575C2214yescomplemented
106#14583575C2214yescomplemented
107#14583572C2214yescomplemented
108#14583572C2214yescomplemented
109D4×Dic86C2212yescomplemented
110#14583564C2212yescomplemented
111Q8×C22⋊D43C2212yescomplemented
112Q8×C22⋊D43C2212yescomplemented
113Q8×C22⋊D43C2212yescomplemented
114#14583562C2214yescomplemented
115#14583562C2214yescomplemented
116#14583557C2214yescomplemented
117#14583557C2212yescomplemented
118#14583557C2212yescomplemented
119#14583556C2212yescomplemented
120#14583555C2214yescomplemented
121#14583549C2212yescomplemented
122#14583548C2212yescomplemented
123#14583543C2212yescomplemented
124#14583538C2214yescomplemented
125#14583528C2214yescomplemented
126#14583528C2212yescomplemented
127#14583528C2212yescomplemented
128#14583527C2212yescomplemented
129#14583526C2212yescomplemented
130#14583526C2214yescomplemented
131#14583525C2212yescomplemented
132#14583524C2214yes—
133#14583524C2214yescomplemented
134#14583519C2214yescomplemented
135#14583518C2212yescomplemented
136#14583518C2212yescomplemented
137#14583517C2214yescomplemented
138#14583516C2212yescomplemented
139#14583516C2214yescomplemented
140#14583513C2214yescomplemented
141#14583513C2214yescomplemented
142#14583511C2212yescomplemented
143#14583510C2212yescomplemented
144#14583510C2212yescomplemented
145#14583510C2214yescomplemented
146#14583509C2212yescomplemented
147#14583509C2214yescomplemented
148#14583509C2214yescomplemented
149#14583509C2214yescomplemented
150#14583507C2214yescomplemented
151#14583506C2214yescomplemented
152#14583506C2214yescomplemented
153#14583506C2214yescomplemented
154#14583506C2214yescomplemented
155#14583506C2214yescomplemented
156#14583498C2212yes—
157#14583495C2214yescomplemented
158#14583495C2214yescomplemented
159#14583494C2212yes—
160#14583494C2214yescomplemented
161#14583494C2214yescomplemented
162#14583493C2214yescomplemented
163#14583492C2214yes—
164#14583492C2214yescomplemented
165#14583492C2214yescomplemented
166#14583490C2214yescomplemented
167#14583487C2212yes—
168#14583481C2214yes—
169#14583471C2214yescomplemented
170#14583469C2212yescomplemented
171#14583459C2214yes—
172#14583456C2211yescharacteristic, complemented
173#14583455C2212yescomplemented
174#14583454C2211yescharacteristic, complemented
175#14583454C2212yescomplemented
176#14583454C2211yescharacteristic, complemented
177#14583453C2212yescomplemented
178#14583453C2212yescomplemented
179#14583453C2212yescomplemented
180#14583452C2212yescomplemented
181#14583451C2214yescomplemented
182#14583451C2212yescomplemented
183#14583451C2212yescomplemented
184C4⋊Q8×D43C2211yescharacteristic, complemented
185C4⋊Q8×D43C2211yescharacteristic, complemented
186#14583436C2211yescharacteristic, complemented
187#14583435C2211yescharacteristic
188#14583434C2211yescharacteristic, complemented
189#14583433C2211yescharacteristic
190#14583432C2212yescomplemented
191#14583432C2214yescomplemented
192#14583431C2212yes—
193#14583431C2211yescharacteristic, complemented
194#14583431C2214yescomplemented
195#14583430C2211yescharacteristic
196#14583429C2214yes—
197#14583429C2212yes—
198#14583428C2212yes—
199#14583428C2212yes—
200#14583428C2212yes—
201#14583428C2212yes—
202#14583428C2212yes—
203#14583428C2214yescomplemented
204#14583428C2212yescomplemented
205#14583428C2212yescomplemented
206#14583428C2211yescharacteristic, complemented
207#14583428C2212yescomplemented
208#14583428C2212yescomplemented
209#14583427C2214yescomplemented
210#14583427C2212yescomplemented
211#14583426C2212yes—
212C2×#13063318C2212yescomplemented
213#126×D43C2212yescomplemented
214C2×#13063317C2211yescharacteristic, complemented
215#125×D43C2211yescharacteristic, complemented
216#125×D43C2212yescomplemented
217#124×D43C2211yescharacteristic, complemented
218#14583409C2212yes—
219#14583406C2212yes—
220#14583405C2214yes—
221C2×#13063307C2212yes—
222#123×D43C2212yes—
223C2×#13063302C2214yescomplemented
224C2×#13063301C2211yescharacteristic
225C2×#13063301C2212yescomplemented
226C22⋊Q8×D43C2211yescharacteristic
227C22⋊Q8×D43C2212yes—
228C22⋊Q8×D43C2212yes—
229C22⋊Q8×D43C2212yescomplemented
230C2×#13063296C2211yescharacteristic
231#121×D43C2211yescharacteristic
232#14583382C2212yescomplemented
233#14583378C2214yescomplemented
234#14583378C2212yescomplemented
235#14583377C2212yescomplemented
236#14583376C2214yescomplemented
237#14583375C2212yescomplemented
238#14583372C2214yes—
239#14583371C2214yes—
240C2×Q8×Dic43C2211yescharacteristic, complemented
241C4×Q8×D43C2212yescomplemented
242C4×Q8×D43C2212yescomplemented
243C4×Q8×D43C2211yescharacteristic, complemented
244C2×D4×Dic43C2211yescharacteristic, complemented
245C2×(C22⋊D43)⋊C4C2212yes—
246C4×D4×D43C2212yes—
247C4×D4×D43C2211yescharacteristic, complemented
248C2×#13063281C2212yescomplemented
249#117×D43C2212yes—
250#117×D43C2212yescomplemented
251C2×C42×D43C2211yescharacteristic
252C43×#563C2212yescomplemented
253C43×#562C2212yescomplemented
254C43×#556C2212yescomplemented
255C43×#551C2214yescomplemented
256D4×Q8×C43C2212yescomplemented
257C43×#548C2212yescomplemented
258C43×#546C2212yescomplemented
259C43×#543C2212yescomplemented
260C43×#542C2214yescomplemented
261C43×#542C2212yescomplemented
262C43×#538C2212yes—
263C43×#536C2212yescomplemented
264C43×#533C2211yescharacteristic, complemented
265C43×#529C2211yescharacteristic
266C2×#124×C43C2211yescharacteristic, complemented
267C2×#10621900C2314yes—
268C2×#10621900C2312yes—
269C22×Dic86C2314yes—
270C2×Q8×D43C2312yes—
271C2×Q8×D43C2312yes—
272C2×Q8×D43C2312yes—
273C2×Q8×D43C2311yescharacteristic
274C22×C22⋊D43C2312yes—
275C2×D4×D43C2312yes—
276C2×D4×D43C2311yescharacteristic
277C23×Dic43C2312yes—
278C22×C4×D43C2311yescharacteristic
279C22×C4×D43C2311yescharacteristic
280C22×C4×D43C2311yescharacteristic
281C22×C4×D43C2312yes—
282#13063325C2312yes—
283#13063325C2311yescharacteristic
284#13063325C2311yescharacteristic
285#13063324C2314yes—
286#13063324C2314yes—
287#13063324C2314yes—
288#13063324C2314yes—
289#13063324C2312yes—
290#13063324C2312yes—
291#13063324C2312yes—
292#13063324C2312yes—
293#13063324C2312yes—
294#13063323C2314yes—
295#13063323C2314yes—
296#13063323C2312yes—
297#13063323C2314yes—
298#13063323C2314yes—
299#13063323C2314yes—
300#13063323C2312yes—
301#13063323C2312yes—
302#13063320C2314yes—
303#13063320C2314yes—
304#13063320C2314yes—
305#13063320C2314yes—
306#13063320C2314yes—
307#13063320C2312yes—
308#13063320C2314yes—
309#13063320C2312yes—
310#13063320C2312yes—
311#13063319C2314yes—
312#13063319C2312yes—
313#13063318C2314yes—
314#13063318C2314yes—
315#13063318C2314yes—
316#13063318C2314yes—
317#13063318C2314yes—
318#13063318C2314yes—
319#13063318C2314yes—
320#13063318C2314yes—
321#13063318C2314yes—
322#13063318C2314yes—
323#13063318C2314yes—
324#13063318C2314yes—
325#13063318C2314yes—
326#13063318C2314yes—
327#13063318C2314yes—
328#13063318C2314yes—
329#13063318C2314yes—
330#13063318C2314yes—
331#13063318C2312yes—
332#13063318C2314yes—
333#13063318C2312yes—
334#13063318C2314yes—
335#13063318C2312yes—
336#13063318C2314yes—
337#13063318C2314yes—
338#13063317C2314yes—
339#13063317C2314yes—
340#13063317C2314yes—
341#13063317C2312yes—
342#13063317C2312yes—
343#13063317C2312yes—
344#13063317C2311yescharacteristic
345#13063317C2312yes—
346#13063317C2312yes—
347#13063317C2312yes—
348#13063316C2314yes—
349#13063316C2314yes—
350#13063316C2312yes—
351#13063316C2314yes—
352#13063316C2314yes—
353#13063316C2312yes—
354#13063316C2314yes—
355#13063316C2314yes—
356#13063316C2314yes—
357#13063316C2314yes—
358#13063316C2312yes—
359#13063316C2311yescharacteristic
360#13063316C2311yescharacteristic
361#13063315C2314yes—
362#13063315C2314yes—
363#13063315C2314yes—
364#13063315C2314yes—
365#13063315C2314yes—
366#13063315C2314yes—
367#13063315C2314yes—
368#13063315C2314yes—
369#13063315C2314yes—
370#13063315C2314yes—
371#13063315C2314yes—
372#13063315C2314yes—
373#13063315C2312yes—
374#13063315C2314yes—
375#13063315C2314yes—
376#13063315C2314yes—
377#13063315C2314yes—
378#13063315C2314yes—
379#13063315C2314yes—
380#13063315C2312yes—
381#13063315C2314yes—
382#13063315C2314yes—
383#13063314C2311yescharacteristic
384#13063313C2311yescharacteristic
385#13063312C2314yes—
386#13063312C2314yes—
387#13063312C2312yes—
388#13063312C2311yescharacteristic
389#13063311C2312yes—
390#13063311C2314yes—
391#13063311C2314yes—
392#13063311C2314yes—
393#13063311C2314yes—
394#13063311C2314yes—
395#13063311C2312yes—
396#13063310C2314yes—
397#13063310C2312yes—
398#13063310C2312yes—
399#13063309C2314yes—
400#13063309C2314yes—
401#13063309C2312yes—
402#13063309C2314yes—
403#13063308C2312yes—
404#13063308C2314yes—
405#13063308C2314yes—
406#13063307C2314yes—
407#13063307C2314yes—
408#13063307C2314yes—
409#13063307C2314yes—
410#13063307C2314yes—
411#13063307C2314yes—
412#13063307C2314yes—
413#13063307C2314yes—
414#13063307C2312yes—
415#13063307C2312yes—
416#13063307C2314yes—
417#13063307C2314yes—
418#13063306C2314yes—
419#13063306C2314yes—
420#13063306C2314yes—
421#13063306C2312yes—
422#13063306C2314yes—
423#13063306C2314yes—
424#13063306C2314yes—
425#13063306C2314yes—
426#13063306C2314yes—
427#13063305C2314yes—
428#13063305C2314yes—
429#13063305C2314yes—
430#13063305C2312yes—
431#13063305C2311yescharacteristic
432#13063305C2312yes—
433#13063304C2312yes—
434#13063304C2314yes—
435#13063304C2314yes—
436#13063304C2314yes—
437#13063304C2312yes—
438#13063304C2312yes—
439#13063304C2314yes—
440#13063304C2314yes—
441#13063304C2311yescharacteristic
442#13063304C2312yes—
443#13063303C2312yes—
444#13063303C2314yes—
445#13063303C2314yes—
446#13063303C2314yes—
447#13063303C2314yes—
448#13063303C2314yes—
449#13063303C2314yes—
450#13063303C2314yes—
451#13063303C2314yes—
452#13063303C2314yes—
453#13063302C2314yes—
454#13063302C2314yes—
455#13063302C2314yes—
456#13063302C2314yes—
457#13063302C2314yes—
458#13063302C2314yes—
459#13063302C2314yes—
460#13063302C2314yes—
461#13063302C2314yes—
462#13063302C2314yes—
463#13063302C2314yes—
464#13063302C2314yes—
465#13063302C2314yes—
466#13063302C2314yes—
467#13063302C2314yes—
468#13063302C2314yes—
469#13063302C2314yes—
470#13063302C2314yes—
471#13063302C2314yes—
472#13063302C2314yes—
473#13063302C2312yes—
474#13063302C2314yes—
475#13063301C2312yes—
476#13063301C2312yes—
477#13063301C2314yes—
478#13063301C2312yes—
479#13063301C2314yes—
480#13063301C2314yes—
481#13063301C2314yes—
482#13063301C2312yes—
483#13063301C2312yes—
484#13063301C2314yes—
485#13063301C2314yes—
486#13063301C2311yescharacteristic
487#13063301C2312yes—
488#13063301C2312yes—
489#13063301C2312yes—
490#13063301C2312yes—
491#13063300C2311yescharacteristic
492#13063299C2311yescharacteristic
493#13063298C2312yes—
494#13063298C2314yes—
495#13063298C2314yes—
496#13063298C2314yes—
497#13063297C2314yes—
498#13063297C2314yes—
499#13063297C2312yes—
500#13063296C2312yes—
501#13063296C2314yes—
502#13063296C2314yes—
503#13063296C2312yes—
504#13063296C2312yes—
505#13063296C2311yescharacteristic
506#13063296C2312yes—
507#13063296C2312yes—
508#13063294C2314yes—
509#13063293C2314yes—
510#13063293C2314yes—
511Q8×Dic43C2312yes—
512Q8×Dic43C2312yes—
513Q8×Dic43C2312yes—
514Q8×Dic43C2312yes—
515Q8×Dic43C2312yes—
516Q8×Dic43C2314yes—
517Q8×Dic43C2314yes—
518Q8×Dic43C2312yes—
519Q8×Dic43C2311yescharacteristic
520Q8×Dic43C2312yes—
521Q8×Dic43C2312yes—
522Q8×Dic43C2312yes—
523C4×Dic86C2314yes—
524C4×Dic86C2312yes—
525C4×Dic86C2312yes—
526C4×Dic86C2312yes—
527C4×Dic86C2312yes—
528C4×Dic86C2314yes—
529C4×Dic86C2314yes—
530C4×Dic86C2314yes—
531C4×Dic86C2314yes—
532C4×Dic86C2311yescharacteristic
533C4×Dic86C2314yes—
534C4×Dic86C2312yes—
535#13063290C2314yes—
536#13063290C2314yes—
537#13063290C2314yes—
538#13063290C2312yes—
539#13063290C2314yes—
540#13063290C2314yes—
541#13063290C2314yes—
542#13063290C2312yes—
543#13063290C2312yes—
544#13063290C2311yescharacteristic
545#13063290C2314yes—
546C4×D172C2311yescharacteristic
547C4×D172C2312yes—
548C4×D172C2314yes—
549D4×Dic43C2312yes—
550D4×Dic43C2314yes—
551D4×Dic43C2312yes—
552D4×Dic43C2312yes—
553D4×Dic43C2314yes—
554D4×Dic43C2312yes—
555D4×Dic43C2314yes—
556D4×Dic43C2314yes—
557D4×Dic43C2311yescharacteristic
558D4×Dic43C2312yes—
559D4×Dic43C2312yes—
560#13063287C2314yes—
561#13063287C2312yes—
562#13063287C2311yescharacteristic
563C4×C22⋊D43C2314yes—
564C4×C22⋊D43C2312yes—
565C4×C22⋊D43C2314yes—
566C4×C22⋊D43C2314yes—
567C4×C22⋊D43C2314yes—
568C4×C22⋊D43C2314yes—
569C4×C22⋊D43C2312yes—
570C4×C22⋊D43C2314yes—
571C4×C22⋊D43C2314yes—
572C4×C22⋊D43C2312yes—
573C4×C22⋊D43C2314yes—
574C4×C22⋊D43C2314yes—
575(C22⋊D43)⋊C4C2314yes—
576(C22⋊D43)⋊C4C2314yes—
577(C22⋊D43)⋊C4C2314yes—
578(C22⋊D43)⋊C4C2314yes—
579(C22⋊D43)⋊C4C2314yes—
580(C22⋊D43)⋊C4C2314yes—
581(C22⋊D43)⋊C4C2314yes—
582(C22⋊D43)⋊C4C2314yes—
583(C22⋊D43)⋊C4C2312yes—
584(C22⋊D43)⋊C4C2314yes—
585(C22⋊D43)⋊C4C2314yes—
586(C22⋊D43)⋊C4C2314yes—
587(C22⋊D43)⋊C4C2312yes—
588(C22⋊D43)⋊C4C2314yes—
589(C22⋊D43)⋊C4C2312yes—
590#13063284C2314yes—
591#13063284C2314yes—
592#13063284C2312yes—
593#13063284C2314yes—
594#13063284C2314yes—
595#13063284C2312yes—
596#13063284C2312yes—
597#13063283C2312yes—
598#13063283C2314yes—
599#13063283C2312yes—
600#13063283C2314yes—
601#13063283C2312yes—
602#13063283C2312yes—
603#13063283C2312yes—
604#13063282C2314yes—
605#13063282C2314yes—
606#13063282C2314yes—
607#13063282C2314yes—
608#13063282C2312yes—
609#13063282C2312yes—
610#13063281C2314yes—
611#13063281C2314yes—
612#13063281C2314yes—
613#13063281C2314yes—
614#13063281C2314yes—
615#13063281C2314yes—
616#13063281C2314yes—
617#13063281C2314yes—
618#13063281C2314yes—
619#13063281C2314yes—
620#13063281C2312yes—
621#13063281C2312yes—
622#13063281C2314yes—
623#13063281C2314yes—
624C2×C4⋊Dic43C2311yescharacteristic
625C2×C4⋊Dic43C2312yes—
626C2×C4⋊Dic43C2314yes—
627C2×C4⋊Dic43C2312yes—
628C2×C4⋊Dic43C2311yescharacteristic
629C2×Dic43⋊C4C2312yes—
630C2×Dic43⋊C4C2314yes—
631C2×Dic43⋊C4C2314yes—
632C2×Dic43⋊C4C2314yes—
633C2×Dic43⋊C4C2312yes—
634C2×Dic43⋊C4C2312yes—
635C4⋊C4×D43C2312yes—
636C4⋊C4×D43C2314yes—
637C4⋊C4×D43C2311yescharacteristic
638C4⋊C4×D43C2312yes—
639C4⋊C4×D43C2312yes—
640C4⋊C4×D43C2312yes—
641C4⋊C4×D43C2314yes—
642C4⋊C4×D43C2312yes—
643C4⋊C4×D43C2314yes—
644C4⋊C4×D43C2311yescharacteristic
645C4⋊C4×D43C2312yes—
646C4⋊C4×D43C2312yes—
647C4⋊C4×D43C2312yes—
648C4⋊C4×D43C2312yes—
649C2×C22⋊Dic43C2312yes—
650C2×C22⋊Dic43C2312yes—
651C2×C22⋊Dic43C2314yes—
652C2×(C2×D43)⋊C4C2314yes—
653C2×(C2×D43)⋊C4C2312yes—
654C22⋊C4×D43C2312yes—
655C22⋊C4×D43C2312yes—
656C22⋊C4×D43C2314yes—
657C22⋊C4×D43C2312yes—
658C22⋊C4×D43C2314yes—
659C22⋊C4×D43C2312yes—
660C22⋊C4×D43C2312yes—
661C2×C4×Dic43C2311yescharacteristic
662C2×C4×Dic43C2311yescharacteristic
663C2×C4×Dic43C2311yescharacteristic
664C2×C4×Dic43C2312yes—
665C42×D43C2311yescharacteristic
666C42×D43C2311yescharacteristic
667C42×D43C2311yescharacteristic
668C42×D43C2311yescharacteristic
669C42×D43C2311yescharacteristic
670C42×D43C2311yescharacteristic
671C42×D43C2311yescharacteristic
672C42×D43C2311yescharacteristic
673C42×D43C2314yes—
674C42×D43C2312yes—
675C2×#41×C43C2312yes—
676C22×Q8×C43C2311yescharacteristic
677C22×Q8×C43C2312yes—
678C22×D4×C43C2311yescharacteristic
679C4⋊Q8×C43C2312yes—
680C4⋊Q8×C43C2311yescharacteristic
681C4⋊Q8×C43C2311yescharacteristic
682C4⋊Q8×C43C2314yes—
683#126×C43C2312yes—
684#126×C43C2314yes—
685#126×C43C2314yes—
686#126×C43C2314yes—
687#125×C43C2311yescharacteristic
688#125×C43C2312yes—
689#124×C43C2314yes—
690#124×C43C2312yes—
691#124×C43C2312yes—
692#124×C43C2314yes—
693#124×C43C2312yes—
694#124×C43C2312yes—
695#124×C43C2312yes—
696#124×C43C2311yescharacteristic
697#123×C43C2314yes—
698#123×C43C2314yes—
699#123×C43C2314yes—
700#123×C43C2312yes—
701#123×C43C2314yes—
702C22⋊Q8×C43C2314yes—
703C22⋊Q8×C43C2314yes—
704C22⋊Q8×C43C2314yes—
705C22⋊Q8×C43C2311yescharacteristic
706C22⋊Q8×C43C2312yes—
707C22⋊Q8×C43C2312yes—
708C22⋊Q8×C43C2314yes—
709C22⋊Q8×C43C2314yes—
710C22⋊Q8×C43C2312yes—
711C22⋊Q8×C43C2314yes—
712C22⋊Q8×C43C2314yes—
713#121×C43C2314yes—
714#121×C43C2311yescharacteristic
715#121×C43C2314yes—
716#121×C43C2312yes—
717#120×C43C2314yes—
718C4×Q8×C43C2311yescharacteristic
719C4×Q8×C43C2312yes—
720C4×Q8×C43C2312yes—
721C4×Q8×C43C2312yes—
722C4×D4×C43C2312yes—
723C4×D4×C43C2314yes—
724C4×D4×C43C2311yescharacteristic
725C4×D4×C43C2312yes—
726C4×D4×C43C2314yes—
727#117×C43C2312yes—
728#117×C43C2314yes—
729#117×C43C2312yes—
730C2×C22⋊C4×C43C2312yes—
731C2×C22⋊C4×C43C2314yes—
732C2×C22⋊C4×C43C2312yes—
733C2×C42×C43C2311yescharacteristic
734C24×C43C2412yes—
735C23×D43C2412yes—
736C23×D43C2411yescharacteristic
737#41×C43—44no—
738C2×Q8×C43—42no—
739C2×Q8×C43—44no—
740C2×Q8×C43C2412yes—
741C2×Q8×C43C2412yes—
742C2×Q8×C43C2411yescharacteristic
743C2×Q8×C43C2412yes—
744C2×Q8×C43C2414yes—
745C2×Q8×C43C2412yes—
746C2×D4×C43—42no—
747C2×D4×C43C2412yes—
748C2×D4×C43C2412yes—
749C2×D4×C43C2414yes—
750C2×D4×C43C2411yescharacteristic
751C2×D4×C43C2414yes—
752C2×D4×C43C2412yes—
753C22×C4×C43C2411yescharacteristic
754C22×C4×C43C2411yescharacteristic
755C22×C4×C43C2412yes—
756C22×C4×C43C2411yescharacteristic
757C22×C4×C43C2412yes—
758C22×C4×C43C2414yes—
759C22×C4×C43C2414yes—
760C22×C4×C43C2414yes—
761C2×C22⋊D43—28no—
762C2×C22⋊D43C2414yes—
763C2×C22⋊D43C2414yes—
764C2×C22⋊D43C2412yes—
765C2×C22⋊D43C2412yes—
766C2×C22⋊D43C2412yes—
767C2×C22⋊D43C2414yes—
768C2×C22⋊D43C2414yes—
769C22×Dic43—44no—
770C22×Dic43C2411yescharacteristic
771C22×Dic43C2411yescharacteristic
772C22×Dic43C2412yes—
773C22×Dic43C2414yes—
774C22×Dic43C2411yescharacteristic
775C22×Dic43C2412yes—
776C22×Dic43C2414yes—
777C22×Dic43C2414yes—
778C22×Dic43C2414yes—
779C22×Dic43C2412yes—
780C22×Dic43C2414yes—
781Q8×D43—42no—
782Q8×D43—44no—
783Q8×D43—44no—
784Q8×D43—44no—
785#10621900—44no—
786#10621900—48no—
787D4×D43—28no—
788D4×D43—42no—
789C2×D172C2412yes—
790C2×D172C2411yescharacteristic
791C2×C4×D43—24no—
792C2×C4×D43—42no—
793C2×C4×D43—42no—
794C2×C4×D43—44no—
795C2×C4×D43C2411yescharacteristic
796C2×C4×D43C2411yescharacteristic
797C2×C4×D43C2411yescharacteristic
798C2×C4×D43C2411yescharacteristic
799C2×C4×D43C2411yescharacteristic
800C2×C4×D43C2411yescharacteristic
801C2×C4×D43C2411yescharacteristic
802C2×C4×D43C2411yescharacteristic
803C2×C4×D43C2412yes—
804C2×C4×D43C2412yes—
805C2×C4×D43C2411yescharacteristic
806C2×C4×D43C2411yescharacteristic
807C2×C4×D43C2411yescharacteristic
808C2×C4×D43C2411yescharacteristic
809C2×C4×D43C2412yes—
810C2×C4×D43C2414yes—
811C2×C4×D43C2414yes—
812C2×C4×D43C2412yes—
813C2×C4×D43C2414yes—
814C2×C4×D43C2414yes—
815C2×C4×D43C2412yes—
816C2×Dic86—48no—
817C2×Dic86C2412yes—
818C2×Dic86C2414yes—
819C2×Dic86C2412yes—
820C2×Dic86C2414yes—
821C2×Dic86C2414yes—
822C2×Dic86C2412yes—
823C2×Dic86C2411yescharacteristic
824C2×Dic86C2414yes—
825C2×Dic86C2414yes—
826C4⋊C4×C43C2412yes—
827C4⋊C4×C43C2412yes—
828C4⋊C4×C43C2414yes—
829C4⋊C4×C43C2412yes—
830C4⋊C4×C43C2412yes—
831C4⋊C4×C43C2412yes—
832C4⋊C4×C43C2412yes—
833C4⋊C4×C43C2411yescharacteristic
834C4⋊C4×C43C2414yes—
835C4⋊C4×C43C2414yes—
836C4⋊C4×C43C2412yes—
837C4⋊C4×C43C2414yes—
838C4⋊C4×C43C2414yes—
839C4⋊C4×C43C2411yescharacteristic
840C4⋊C4×C43C2414yes—
841C4⋊C4×C43C2412yes—
842C22⋊C4×C43C2412yes—
843C22⋊C4×C43C2414yes—
844C22⋊C4×C43C2414yes—
845C22⋊C4×C43C2414yes—
846C22⋊C4×C43C2414yes—
847C22⋊C4×C43C2414yes—
848C22⋊C4×C43C2414yes—
849C22⋊C4×C43C2414yes—
850C22⋊C4×C43C2414yes—
851C22⋊C4×C43C2412yes—
852C22⋊C4×C43C2412yes—
853C22⋊C4×C43C2412yes—
854C22⋊C4×C43C2414yes—
855C22⋊C4×C43C2412yes—
856C22⋊C4×C43C2414yes—
857C42×C43C2411yescharacteristic
858C42×C43C2411yescharacteristic
859C42×C43C2411yescharacteristic
860C42×C43C2411yescharacteristic
861C42×C43C2414yes—
862C42×C43C2412yes—
863C42×C43C2414yes—
864C22⋊Dic43C2412yes—
865C22⋊Dic43C2414yes—
866C22⋊Dic43C2412yes—
867C22⋊Dic43C2412yes—
868C22⋊Dic43C2414yes—
869C22⋊Dic43C2412yes—
870C22⋊Dic43C2412yes—
871C22⋊Dic43C2414yes—
872C22⋊Dic43C2414yes—
873C22⋊Dic43C2414yes—
874C22⋊Dic43C2414yes—
875C22⋊Dic43C2414yes—
876C22⋊Dic43C2414yes—
877C22⋊Dic43C2414yes—
878C22⋊Dic43C2414yes—
879C22⋊Dic43C2414yes—
880C22⋊Dic43C2414yes—
881(C2×D43)⋊C4C2414yes—
882(C2×D43)⋊C4C2414yes—
883(C2×D43)⋊C4C2414yes—
884(C2×D43)⋊C4C2412yes—
885(C2×D43)⋊C4C2412yes—
886(C2×D43)⋊C4C2412yes—
887(C2×D43)⋊C4C2412yes—
888(C2×D43)⋊C4C2412yes—
889(C2×D43)⋊C4C2412yes—
890(C2×D43)⋊C4C2412yes—
891(C2×D43)⋊C4C2412yes—
892(C2×D43)⋊C4C2412yes—
893(C2×D43)⋊C4C2412yes—
894(C2×D43)⋊C4C2414yes—
895(C2×D43)⋊C4C2414yes—
896(C2×D43)⋊C4C2414yes—
897(C2×D43)⋊C4C2414yes—
898(C2×D43)⋊C4C2414yes—
899C4⋊Dic43C2414yes—
900C4⋊Dic43C2412yes—
901C4⋊Dic43C2412yes—
902C4⋊Dic43C2412yes—
903C4⋊Dic43C2414yes—
904C4⋊Dic43C2412yes—
905C4⋊Dic43C2412yes—
906C4⋊Dic43C2412yes—
907C4⋊Dic43C2411yescharacteristic
908C4⋊Dic43C2412yes—
909C4⋊Dic43C2411yescharacteristic
910C4⋊Dic43C2412yes—
911C4⋊Dic43C2412yes—
912C4⋊Dic43C2414yes—
913C4⋊Dic43C2412yes—
914C4⋊Dic43C2414yes—
915C4⋊Dic43C2412yes—
916C4⋊Dic43C2414yes—
917C4⋊Dic43C2412yes—
918C4⋊Dic43C2414yes—
919C4⋊Dic43C2414yes—
920C4⋊Dic43C2414yes—
921C4⋊Dic43C2414yes—
922C4⋊Dic43C2414yes—
923Dic43⋊C4C2414yes—
924Dic43⋊C4C2412yes—
925Dic43⋊C4C2412yes—
926Dic43⋊C4C2414yes—
927Dic43⋊C4C2414yes—
928Dic43⋊C4C2414yes—
929Dic43⋊C4C2414yes—
930Dic43⋊C4C2414yes—
931Dic43⋊C4C2412yes—
932Dic43⋊C4C2412yes—
933Dic43⋊C4C2412yes—
934Dic43⋊C4C2414yes—
935Dic43⋊C4C2412yes—
936Dic43⋊C4C2412yes—
937Dic43⋊C4C2414yes—
938Dic43⋊C4C2412yes—
939Dic43⋊C4C2412yes—
940Dic43⋊C4C2414yes—
941Dic43⋊C4C2414yes—
942Dic43⋊C4C2414yes—
943Dic43⋊C4C2412yes—
944Dic43⋊C4C2414yes—
945Dic43⋊C4C2414yes—
946Dic43⋊C4C2414yes—
947Dic43⋊C4C2414yes—
948Dic43⋊C4C2414yes—
949Dic43⋊C4C2414yes—
950Dic43⋊C4C2414yes—
951Dic43⋊C4C2414yes—
952Dic43⋊C4C2414yes—
953Dic43⋊C4C2414yes—
954Dic43⋊C4C2414yes—
955Dic43⋊C4C2414yes—
956Dic43⋊C4C2414yes—
957Dic43⋊C4C2414yes—
958Dic43⋊C4C2414yes—
959Dic43⋊C4C2414yes—
960Dic43⋊C4C2414yes—
961C4×Dic43C2411yescharacteristic
962C4×Dic43C2411yescharacteristic
963C4×Dic43C2411yescharacteristic
964C4×Dic43C2411yescharacteristic
965C4×Dic43C2411yescharacteristic
966C4×Dic43C2411yescharacteristic
967C4×Dic43C2411yescharacteristic
968C4×Dic43C2411yescharacteristic
969C4×Dic43C2411yescharacteristic
970C4×Dic43C2411yescharacteristic
971C4×Dic43C2411yescharacteristic
972C4×Dic43C2411yescharacteristic
973C4×Dic43C2412yes—
974C4×Dic43C2414yes—
975C4×Dic43C2414yes—
976C4×Dic43C2412yes—
977C4×Dic43C2414yes—
978C4×Dic43C2412yes—
979C4×Dic43C2414yes—
980C4×Dic43C2414yes—
981C4×Dic43C2414yes—
982C4×Dic43C2414yes—
983C4×Dic43C2414yes—
984C4×Dic43C2414yes—
985C4×Dic43C2414yes—
986C4×Dic43C2414yes—
987C4×Dic43C2414yes—
988C23×C43—24no—
989C23×C43—42no—
990C23×C43—42no—
991C23×C43C2512yes—
992C23×C43C2514yes—
993C23×C43C2511yescharacteristic
994C22×D43—24no—
995C22×D43—41no—
996C22×D43—41no—
997C22×D43—42no—
998C22×D43—42no—
999C22×D432−1+414yes—
1000C22×D43C2512yes—
1001C22×D43C2511yescharacteristic
1002C22×D43C2511yescharacteristic
1003Q8×C43—24no—
1004Q8×C43—24no—
1005Q8×C43—41no—
1006Q8×C43—42no—
1007Q8×C43—44no—
1008Q8×C43—42no—
1009D4×C43—24no—
1010D4×C43—24no—
1011D4×C43—41no—
1012D4×C43—44no—
1013D4×C43—42no—
1014D4×C43—44no—
1015C2×C4×C43—22no—
1016C2×C4×C43—22no—
1017C2×C4×C43—24no—
1018C2×C4×C43—44no—
1019C2×C4×C43—41no—
1020C2×C4×C43—44no—
1021C2×C4×C43—42no—
1022C2×C4×C43—44no—
1023C2×C4×C43C2511yescharacteristic
1024C2×C4×C43C2512yes—
1025C2×C4×C43C2514yes—
1026C2×C4×C43C2514yes—
1027C2×C4×C43C2512yes—
1028C2×C4×C43C2511yescharacteristic
1029C2×C4×C43C2511yescharacteristic
1030C2×C4×C43C2511yescharacteristic
1031C2×C4×C43C2512yes—
1032C2×C4×C43C2511yescharacteristic
1033C2×C4×C43C2514yes—
1034C2×C4×C43C2511yescharacteristic
1035C22⋊D43—24no—
1036C22⋊D43—24no—
1037C22⋊D43—28no—
1038C22⋊D43—28no—
1039C22⋊D43—24no—
1040C22⋊D43—44no—
1041C22⋊D43—44no—
1042C2×Dic43—22no—
1043C2×Dic43—24no—
1044C2×Dic43—28no—
1045C2×Dic43—22no—
1046C2×Dic43—44no—
1047C2×Dic43—41no—
1048C2×Dic43—42no—
1049C2×Dic43—44no—
1050C2×Dic43—44no—
1051C2×Dic43—42no—
1052C2×Dic43—44no—
1053C2×Dic43C2511yescharacteristic
1054C2×Dic43C2511yescharacteristic
1055C2×Dic43C2511yescharacteristic
1056C2×Dic43C2514yes—
1057C2×Dic43C2512yes—
1058C2×Dic43C2514yes—
1059C2×Dic43C2511yescharacteristic
1060C2×Dic43C2511yescharacteristic
1061C2×Dic43C2514yes—
1062C2×Dic43C2512yes—
1063C2×Dic43C2512yes—
1064C2×Dic43C2514yes—
1065C2×Dic43C2511yescharacteristic
1066D172—24no—
1067D172—41no—
1068C4×D43—22no—
1069C4×D43—22no—
1070C4×D43—22no—
1071C4×D43—22no—
1072C4×D43—24no—
1073C4×D43—22no—
1074C4×D43—24no—
1075C4×D43—22no—
1076C4×D43—22no—
1077C4×D43—22no—
1078C4×D43—41no—
1079C4×D43—42no—
1080C4×D43—42no—
1081C4×D43—41no—
1082C4×D43—41no—
1083C4×D43—41no—
1084C4×D43—44no—
1085C4×D43—42no—
1086C4×D43—44no—
1087C4×D43—44no—
1088C4×D43—44no—
1089Dic86—24no—
1090Dic86—24no—
1091Dic86—28no—
1092Dic86—44no—
1093Dic86—44no—
1094Dic86—41no—
1095Dic86—44no—
1096Dic86—44no—
1097Dic86—42no—
1098#62823—431nomaximal, Sylow
1099C22×C43—21no—
1100C22×C43—21no—
1101C22×C43—22no—
1102C22×C43—24no—
1103C22×C43—22no—
1104C22×C43—22no—
1105C22×C43—24no—
1106C22×C43—24no—
1107C22×C43—84no—
1108C22×C43C2×2−1+412yes—
1109C22×C43C2611yescharacteristic
1110C2×D43—21no—
1111C2×D43—21no—
1112C2×D43—21no—
1113C2×D43—21no—
1114C2×D43—22no—
1115C2×D43—22no—
1116C2×D43—22no—
1117C2×D43—44no—
1118C2×D43—84no—
1119C2×D43C2×2−1+412yes—
1120C2×D43C2×2−1+412yes—
1121C4×C43—21no—
1122C4×C43—21no—
1123C4×C43—22no—
1124C4×C43—22no—
1125C4×C43—24no—
1126C4×C43—21no—
1127C4×C43—21no—
1128C4×C43—24no—
1129C4×C43—24no—
1130C4×C43—22no—
1131C4×C43—21no—
1132C4×C43#58512yes—
1133Dic43—21no—
1134Dic43—21no—
1135Dic43—22no—
1136Dic43—24no—
1137Dic43—22no—
1138Dic43—24no—
1139Dic43—24no—
1140Dic43—21no—
1141Dic43—22no—
1142Dic43—24no—
1143Dic43—21no—
1144Dic43—21no—
1145Dic43#58512yes—
1146#3564—432no—
1147#3564—434no—
1148#3564—432no—
1149#3563—432no—
1150#3563—431no—
1151#3563—431no—
1152#3561—432no—
1153#3561—431no—
1154#3561D4311yescharacteristic, complemented
1155#3553—432no—
1156#3553—432no—
1157#3552—432no—
1158#3552—432no—
1159#3523—432no—
1160#3523—432no—
1161#3520—432no—
1162#3520—432no—
1163#3516—432no—
1164#3516—432no—
1165#3516—434no—
1166#3505—432no—
1167#3505—432no—
1168#3501—432no—
1169#3501—432no—
1170#3495—434no—
1171#3495—432no—
1172#3495—432no—
1173#3491—434no—
1174C2×#533—431no—
1175C2×#529—431no—
1176C2×#529—431no—
1177C2×C43—22no—
1178C2×C43—42no—
1179C2×C43—44no—
1180C2×C43C22×2−1+411yescharacteristic
1181C2×C43C2×#58511yescharacteristic
1182C2×C43C2×#58511yescharacteristic
1183D43—22no—
1184D43—22no—
1185D43—42no—
1186#564—432no—
1187#564—432no—
1188#563—432no—
1189#563—434no—
1190#563—432no—
1191#563—432no—
1192#563—434no—
1193#563—434no—
1194#563—434no—
1195#563C2×D4312yescomplemented
1196#562—432no—
1197#562C2×D4312yescomplemented
1198#557—434no—
1199#557—432no—
1200#557—432no—
1201#557—432no—
1202#557—432no—
1203#556—434no—
1204#556—434no—
1205#556—434no—
1206#556—432no—
1207#556—432no—
1208#556—434no—
1209#556—434no—
1210#556—432no—
1211#556C2×D4312yescomplemented
1212#554—434no—
1213#554—434no—
1214#554—434no—
1215#554—434no—
1216#554—434no—
1217#554—434no—
1218#554—434no—
1219#554—434no—
1220#554—432no—
1221#554—434no—
1222#554—432no—
1223#554—432no—
1224#554—432no—
1225#554—434no—
1226#553—434no—
1227#553—434no—
1228#553—434no—
1229#553—432no—
1230#553—434no—
1231#553—434no—
1232#553—432no—
1233#552—434no—
1234#552—434no—
1235#552—434no—
1236#552—434no—
1237#552—434no—
1238#552—434no—
1239#552—434no—
1240#552—434no—
1241#552—434no—
1242#552—434no—
1243#552—434no—
1244#552—434no—
1245#552—434no—
1246#552—432no—
1247#552—432no—
1248#552—434no—
1249#552—434no—
1250#552—432no—
1251#552—432no—
1252#552—434no—
1253#552—434no—
1254#552—434no—
1255#551—434no—
1256#551—434no—
1257#551—434no—
1258#551—434no—
1259#551—434no—
1260#551—434no—
1261#551—434no—
1262#551—434no—
1263#551—434no—
1264#551—434no—
1265#551—434no—
1266#551C2×D4314yescomplemented
1267D4×Q8—432no—
1268D4×Q8—432no—
1269D4×Q8—432no—
1270D4×Q8—432no—
1271D4×Q8—434no—
1272D4×Q8—434no—
1273D4×Q8—432no—
1274D4×Q8C2×D4312yescomplemented
1275#548—432no—
1276#548—434no—
1277#548—432no—
1278#548—432no—
1279#548—434no—
1280#548C2×D4312yescomplemented
1281#547—432no—
1282#547—432no—
1283#546—432no—
1284#546—434no—
1285#546C2×D4312yescomplemented
1286#544—432no—
1287#544—434no—
1288#544—434no—
1289#544—432no—
1290#544—432no—
1291#544—432no—
1292#543—434no—
1293#543—434no—
1294#543—432no—
1295#543C2×D4312yescomplemented
1296#542—434no—
1297#542—432no—
1298#542—432no—
1299#542—434no—
1300#542—434no—
1301#542—434no—
1302#542—432no—
1303#542—434no—
1304#542C2×D4312yescomplemented
1305#542C2×D4314yescomplemented
1306#541—432no—
1307#541—432no—
1308#541—434no—
1309#541—434no—
1310#541—434no—
1311#541—434no—
1312#541—434no—
1313#541—434no—
1314#541—432no—
1315#541—434no—
1316#541—434no—
1317#541—434no—
1318#541—434no—
1319#541—432no—
1320#539—434no—
1321#539—434no—
1322#539—434no—
1323#539—434no—
1324#539—434no—
1325#539—434no—
1326#539—432no—
1327#539—434no—
1328#539—432no—
1329#539—434no—
1330#539—434no—
1331#538—434no—
1332#538—432no—
1333#538C2×D4312yes—
1334#536—432no—
1335#536—434no—
1336#536C2×D4312yescomplemented
1337#534—434no—
1338#533—431no—
1339#533—431no—
1340#533—432no—
1341#533—432no—
1342#533—432no—
1343#533—432no—
1344#533—434no—
1345#533—432no—
1346#533—432no—
1347#533—432no—
1348#533—432no—
1349#533—431no—
1350#533C2×D4311yescharacteristic, complemented
1351C2×C4⋊Q8—431no—
1352C2×C4⋊Q8—431no—
1353#529—432no—
1354#529—434no—
1355#529—431no—
1356#529—432no—
1357#529—432no—
1358#529—432no—
1359#529—432no—
1360#529—432no—
1361#529—432no—
1362#529—432no—
1363#529—431no—
1364#529—432no—
1365#529—432no—
1366#529—434no—
1367#529—432no—
1368#529—431no—
1369#529—431no—
1370#529—431no—
1371#529—432no—
1372#529—431no—
1373#529—434no—
1374#529—432no—
1375#529—434no—
1376#529—432no—
1377#529—434no—
1378#529—431no—
1379#529C2×D4311yescharacteristic
1380C2×#126—432no—
1381C2×#126—432no—
1382C2×#125—431no—
1383C2×#125—432no—
1384C2×#125—431no—
1385C2×#124—431no—
1386C2×#124C2×D4311yescharacteristic, complemented
1387#525—432no—
1388#525—432no—
1389#525—434no—
1390C2×#123—432no—
1391C2×#123—432no—
1392C2×C22⋊Q8—431no—
1393C2×C22⋊Q8—432no—
1394C2×C22⋊Q8—431no—
1395C2×C22⋊Q8—432no—
1396C2×C22⋊Q8—432no—
1397C2×C22⋊Q8—432no—
1398C2×C22⋊Q8—434no—
1399C2×#121—431no—
1400C2×#121—431no—
1401#520—432no—
1402#520—432no—
1403#520—434no—
1404#519—432no—
1405#519—432no—
1406#519—434no—
1407#518—434no—
1408#518—434no—
1409C2×C4×Q8—431no—
1410C2×C4×Q8—431no—
1411C2×C4×Q8—432no—
1412C2×C4×Q8—432no—
1413C2×C4×D4—431no—
1414C2×C4×D4—432no—
1415C2×C4×D4—431no—
1416C2×C4×D4—432no—
1417C2×#117—432no—
1418C2×#117—432no—
1419C2×#117—432no—
1420C22×C42—431no—
1421C43#6282311yescharacteristic, complemented, Sylow
1422C2×#41—434no—
1423C2×#41—432no—
1424C2×#41C22×D4312yes—
1425C22×Q8—431no—
1426C22×Q8—432no—
1427C22×Q8—432no—
1428C22×Q8—432no—
1429C22×Q8—434no—
1430C22×Q8C22×D4311yescharacteristic
1431C22×Q8C22×D4312yes—
1432C22×D4—432no—
1433C22×D4—432no—
1434C22×D4—431no—
1435C22×D4C22×D4311yescharacteristic
1436C23×C4—432no—
1437C23×C4—431no—
1438C23×C4—432no—
1439C23×C4—431no—
1440C23×C4—431no—
1441C4⋊Q8—432no—
1442C4⋊Q8—432no—
1443C4⋊Q8—432no—
1444C4⋊Q8—434no—
1445C4⋊Q8—434no—
1446C4⋊Q8—434no—
1447C4⋊Q8—434no—
1448C4⋊Q8—434no—
1449C4⋊Q8—432no—
1450C4⋊Q8—432no—
1451C4⋊Q8—432no—
1452C4⋊Q8—432no—
1453C4⋊Q8—434no—
1454C4⋊Q8—432no—
1455C4⋊Q8—434no—
1456C4⋊Q8—434no—
1457C4⋊Q8—434no—
1458C4⋊Q8—431no—
1459C4⋊Q8—431no—
1460C4⋊Q8—432no—
1461C4⋊Q8C22×D4311yescharacteristic
1462C4⋊Q8C22×D4311yescharacteristic
1463C4⋊Q8C22×D4312yes—
1464C4⋊Q8C22×D4314yes—
1465#126—432no—
1466#126—432no—
1467#126—432no—
1468#126—434no—
1469#126—434no—
1470#126—434no—
1471#126—434no—
1472#126—434no—
1473#126—434no—
1474#126—432no—
1475#126—434no—
1476#126—434no—
1477#126—434no—
1478#126—432no—
1479#126—434no—
1480#126—432no—
1481#126—434no—
1482#126—434no—
1483#126—434no—
1484#126—434no—
1485#126—434no—
1486#126—434no—
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—432no—
1500#126—434no—
1501#126C22×D4312yes—
1502#126C22×D4314yes—
1503#126C22×D4314yes—
1504#126C22×D4314yes—
1505#125—431no—
1506#125—431no—
1507#125—432no—
1508#125—432no—
1509#125—434no—
1510#125—434no—
1511#125—432no—
1512#125—432no—
1513#125—434no—
1514#125—434no—
1515#125—434no—
1516#125—434no—
1517#125—432no—
1518#125—434no—
1519#125—434no—
1520#125—434no—
1521#125—434no—
1522#125—434no—
1523#125—434no—
1524#125—434no—
1525#125—434no—
1526#125—434no—
1527#125—434no—
1528#125—434no—
1529#125—434no—
1530#125—434no—
1531#125—434no—
1532#125—434no—
1533#125—434no—
1534#125—434no—
1535#125—434no—
1536#125—434no—
1537#125—434no—
1538#125—434no—
1539#125—434no—
1540#125—432no—
1541#125—432no—
1542#125—432no—
1543#125—431no—
1544#125—432no—
1545#125—432no—
1546#125—434no—
1547#125—432no—
1548#125—434no—
1549#125—434no—
1550#125C22×D4311yescharacteristic
1551#125C22×D4312yes—
1552#124—431no—
1553#124—431no—
1554#124—432no—
1555#124—434no—
1556#124—434no—
1557#124—432no—
1558#124—432no—
1559#124—434no—
1560#124—434no—
1561#124—434no—
1562#124—434no—
1563#124—434no—
1564#124—431no—
1565#124C22×D4311yescharacteristic
1566#124C22×D4312yes—
1567#124C22×D4312yes—
1568#124C22×D4312yes—
1569#124C22×D4312yes—
1570#124C22×D4312yes—
1571#124C22×D4314yes—
1572#124C22×D4314yes—
1573#123—432no—
1574#123—434no—
1575#123—434no—
1576#123—434no—
1577#123—434no—
1578#123—434no—
1579#123—434no—
1580#123—434no—
1581#123—434no—
1582#123—432no—
1583#123—434no—
1584#123—434no—
1585#123—432no—
1586#123—432no—
1587#123—434no—
1588#123—432no—
1589#123—434no—
1590#123—432no—
1591#123—434no—
1592#123—434no—
1593#123—434no—
1594#123—432no—
1595#123—434no—
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#123C22×D4312yes—
1605#123C22×D4314yes—
1606#123C22×D4314yes—
1607#123C22×D4314yes—
1608#123C22×D4314yes—
1609C22⋊Q8—432no—
1610C22⋊Q8—432no—
1611C22⋊Q8—432no—
1612C22⋊Q8—432no—
1613C22⋊Q8—432no—
1614C22⋊Q8—431no—
1615C22⋊Q8—432no—
1616C22⋊Q8—434no—
1617C22⋊Q8—432no—
1618C22⋊Q8—432no—
1619C22⋊Q8—434no—
1620C22⋊Q8—432no—
1621C22⋊Q8—434no—
1622C22⋊Q8—434no—
1623C22⋊Q8—434no—
1624C22⋊Q8—434no—
1625C22⋊Q8—431no—
1626C22⋊Q8—432no—
1627C22⋊Q8—432no—
1628C22⋊Q8—432no—
1629C22⋊Q8—432no—
1630C22⋊Q8—434no—
1631C22⋊Q8—434no—
1632C22⋊Q8—434no—
1633C22⋊Q8—434no—
1634C22⋊Q8—434no—
1635C22⋊Q8—432no—
1636C22⋊Q8—432no—
1637C22⋊Q8—431no—
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—434no—
1650C22⋊Q8—434no—
1651C22⋊Q8—432no—
1652C22⋊Q8—434no—
1653C22⋊Q8—434no—
1654C22⋊Q8—434no—
1655C22⋊Q8—434no—
1656C22⋊Q8—434no—
1657C22⋊Q8—434no—
1658C22⋊Q8—434no—
1659C22⋊Q8—434no—
1660C22⋊Q8—434no—
1661C22⋊Q8—434no—
1662C22⋊Q8—434no—
1663C22⋊Q8—434no—
1664C22⋊Q8—434no—
1665C22⋊Q8—434no—
1666C22⋊Q8—434no—
1667C22⋊Q8—434no—
1668C22⋊Q8—434no—
1669C22⋊Q8—434no—
1670C22⋊Q8—434no—
1671C22⋊Q8—434no—
1672C22⋊Q8—434no—
1673C22⋊Q8C22×D4311yescharacteristic
1674C22⋊Q8C22×D4312yes—
1675C22⋊Q8C22×D4312yes—
1676C22⋊Q8C22×D4312yes—
1677C22⋊Q8C22×D4314yes—
1678C22⋊Q8C22×D4314yes—
1679C22⋊Q8C22×D4314yes—
1680C22⋊Q8C22×D4314yes—
1681C22⋊Q8C22×D4314yes—
1682C22⋊Q8C22×D4314yes—
1683C22⋊Q8C22×D4314yes—
1684#121—432no—
1685#121—432no—
1686#121—432no—
1687#121—432no—
1688#121—432no—
1689#121—431no—
1690#121—432no—
1691#121—434no—
1692#121—434no—
1693#121—434no—
1694#121—434no—
1695#121—431no—
1696#121—431no—
1697#121—432no—
1698#121—434no—
1699#121—434no—
1700#121—434no—
1701#121C22×D4311yescharacteristic
1702#121C22×D4312yes—
1703#121C22×D4314yes—
1704#121C22×D4314yes—
1705#120—434no—
1706#120—434no—
1707#120—434no—
1708#120C22×D4314yes—
1709C4×Q8—432no—
1710C4×Q8—432no—
1711C4×Q8—432no—
1712C4×Q8—431no—
1713C4×Q8—432no—
1714C4×Q8—432no—
1715C4×Q8—432no—
1716C4×Q8—432no—
1717C4×Q8—434no—
1718C4×Q8—434no—
1719C4×Q8—432no—
1720C4×Q8—432no—
1721C4×Q8—432no—
1722C4×Q8—432no—
1723C4×Q8—431no—
1724C4×Q8—434no—
1725C4×Q8—434no—
1726C4×Q8—432no—
1727C4×Q8—434no—
1728C4×Q8—434no—
1729C4×Q8—434no—
1730C4×Q8—434no—
1731C4×Q8—434no—
1732C4×Q8—434no—
1733C4×Q8—432no—
1734C4×Q8—431no—
1735C4×Q8—432no—
1736C4×Q8—432no—
1737C4×Q8—434no—
1738C4×Q8—434no—
1739C4×Q8—432no—
1740C4×Q8—434no—
1741C4×Q8—434no—
1742C4×Q8—434no—
1743C4×Q8—432no—
1744C4×Q8C22×D4311yescharacteristic
1745C4×Q8C22×D4312yes—
1746C4×Q8C22×D4312yes—
1747C4×Q8C22×D4312yes—
1748C4×D4—432no—
1749C4×D4—432no—
1750C4×D4—431no—
1751C4×D4—432no—
1752C4×D4—432no—
1753C4×D4—432no—
1754C4×D4—434no—
1755C4×D4—434no—
1756C4×D4—434no—
1757C4×D4—432no—
1758C4×D4—434no—
1759C4×D4—432no—
1760C4×D4—432no—
1761C4×D4—432no—
1762C4×D4—434no—
1763C4×D4—434no—
1764C4×D4—434no—
1765C4×D4—434no—
1766C4×D4—434no—
1767C4×D4—434no—
1768C4×D4—434no—
1769C4×D4—434no—
1770C4×D4—434no—
1771C4×D4—431no—
1772C4×D4—432no—
1773C4×D4—434no—
1774C4×D4—432no—
1775C4×D4—434no—
1776C4×D4—434no—
1777C4×D4—434no—
1778C4×D4—432no—
1779C4×D4—432no—
1780C4×D4—434no—
1781C4×D4—434no—
1782C4×D4—434no—
1783C4×D4—434no—
1784C4×D4—434no—
1785C4×D4—434no—
1786C4×D4—434no—
1787C4×D4—434no—
1788C4×D4—434no—
1789C4×D4—431no—
1790C4×D4—432no—
1791C4×D4—434no—
1792C4×D4C22×D4312yes—
1793C4×D4C22×D4311yescharacteristic
1794C4×D4C22×D4314yes—
1795C4×D4C22×D4312yes—
1796C4×D4C22×D4314yes—
1797#117—432no—
1798#117—432no—
1799#117—432no—
1800#117—434no—
1801#117—434no—
1802#117—434no—
1803#117—434no—
1804#117—432no—
1805#117—432no—
1806#117—432no—
1807#117—432no—
1808#117—434no—
1809#117—432no—
1810#117—434no—
1811#117—434no—
1812#117—434no—
1813#117—432no—
1814#117—434no—
1815#117—432no—
1816#117—434no—
1817#117—434no—
1818#117—434no—
1819#117—434no—
1820#117—434no—
1821#117—434no—
1822#117—434no—
1823#117—434no—
1824#117—434no—
1825#117—432no—
1826#117—432no—
1827#117—434no—
1828#117—434no—
1829#117—434no—
1830#117—434no—
1831#117C22×D4312yes—
1832#117C22×D4312yes—
1833#117C22×D4314yes—
1834C2×C4⋊C4—432no—
1835C2×C4⋊C4—432no—
1836C2×C4⋊C4—431no—
1837C2×C4⋊C4—432no—
1838C2×C4⋊C4—431no—
1839C2×C4⋊C4—432no—
1840C2×C4⋊C4—434no—
1841C2×C4⋊C4—434no—
1842C2×C4⋊C4—434no—
1843C2×C4⋊C4—434no—
1844C2×C4⋊C4—432no—
1845C2×C4⋊C4—432no—
1846C2×C4⋊C4—432no—
1847C2×C4⋊C4—432no—
1848C2×C4⋊C4—432no—
1849C2×C4⋊C4—431no—
1850C2×C4⋊C4—432no—
1851C2×C4⋊C4—431no—
1852C2×C4⋊C4—434no—
1853C2×C4⋊C4—434no—
1854C2×C4⋊C4—432no—
1855C2×C4⋊C4—432no—
1856C2×C4⋊C4—432no—
1857C2×C4⋊C4—434no—
1858C2×C4⋊C4—432no—
1859C2×C22⋊C4—432no—
1860C2×C22⋊C4—432no—
1861C2×C22⋊C4—434no—
1862C2×C22⋊C4—432no—
1863C2×C22⋊C4—434no—
1864C2×C22⋊C4—434no—
1865C2×C22⋊C4—432no—
1866C2×C22⋊C4—432no—
1867C2×C22⋊C4—432no—
1868C2×C22⋊C4—432no—
1869C2×C22⋊C4—432no—
1870C2×C22⋊C4—434no—
1871C2×C22⋊C4C22×D4312yes—
1872C2×C22⋊C4C22×D4312yes—
1873C2×C22⋊C4C22×D4314yes—
1874C2×C42—431no—
1875C2×C42—432no—
1876C2×C42—431no—
1877C2×C42—431no—
1878C2×C42—431no—
1879C2×C42—432no—
1880C2×C42—434no—
1881C2×C42—431no—
1882C2×C42—431no—
1883C2×C42—431no—
1884C2×C42—431no—
1885C2×C42—431no—
1886C2×C42—431no—
1887C2×C42—431no—
1888C2×C42C22×D4311yescharacteristic
1889C24—431no—
1890C24—432no—
1891C24C23×D4312yes—
1892#41—44no—
1893#41—1724no—
1894#41—1728no—
1895C2×Q8—42no—
1896C2×Q8—44no—
1897C2×Q8—432no—
1898C2×Q8—434no—
1899C2×Q8—432no—
1900C2×Q8—434no—
1901C2×Q8—434no—
1902C2×Q8—434no—
1903C2×Q8—431no—
1904C2×Q8—434no—
1905C2×Q8—432no—
1906C2×Q8—1728no—
1907C2×Q8—1724no—
1908C2×Q8—1724no—
1909C2×Q8—1722no—
1910C2×Q8—1724no—
1911C2×Q8C23×D4312yes—
1912C2×Q8C23×D4312yes—
1913C2×Q8C23×D4314yes—
1914C2×Q8C23×D4312yes—
1915C2×Q8C23×D4312yes—
1916C2×Q8C23×D4311yescharacteristic
1917C2×D4—42no—
1918C2×D4—434no—
1919C2×D4—432no—
1920C2×D4—432no—
1921C2×D4—434no—
1922C2×D4—432no—
1923C2×D4—434no—
1924C2×D4—434no—
1925C2×D4—432no—
1926C2×D4—431no—
1927C2×D4—868no—
1928C2×D4—868no—
1929C2×D4—1722no—
1930C2×D4C23×D4312yes—
1931C2×D4C23×D4312yes—
1932C2×D4C23×D4314yes—
1933C2×D4C23×D4312yes—
1934C2×D4C23×D4314yes—
1935C2×D4C23×D4311yescharacteristic
1936C22×C4—431no—
1937C22×C4—431no—
1938C22×C4—432no—
1939C22×C4—434no—
1940C22×C4—431no—
1941C22×C4—432no—
1942C22×C4—434no—
1943C22×C4—434no—
1944C22×C4—434no—
1945C22×C4—432no—
1946C22×C4—434no—
1947C22×C4—431no—
1948C22×C4—431no—
1949C22×C4—431no—
1950C22×C4—431no—
1951C22×C4—431no—
1952C22×C4—431no—
1953C22×C4—431no—
1954C22×C4—431no—
1955C22×C4—432no—
1956C22×C4—432no—
1957C22×C4—431no—
1958C22×C4—431no—
1959C22×C4—431no—
1960C22×C4—431no—
1961C22×C4—432no—
1962C22×C4—434no—
1963C22×C4—434no—
1964C22×C4—432no—
1965C22×C4—434no—
1966C22×C4—434no—
1967C22×C4—432no—
1968C22×C4—864no—
1969C22×C4—1722no—
1970C22×C4—1724no—
1971C22×C4—1722no—
1972C22×C4—1724no—
1973C22×C4C23×D4311yescharacteristic
1974C22×C4C23×D4311yescharacteristic
1975C22×C4C23×D4312yes—
1976C22×C4C23×D4311yescharacteristic
1977C22×C4C23×D4312yes—
1978C22×C4C23×D4314yes—
1979C22×C4C23×D4314yes—
1980C22×C4C23×D4314yes—
1981C4⋊C4—434no—
1982C4⋊C4—432no—
1983C4⋊C4—432no—
1984C4⋊C4—432no—
1985C4⋊C4—432no—
1986C4⋊C4—434no—
1987C4⋊C4—432no—
1988C4⋊C4—434no—
1989C4⋊C4—434no—
1990C4⋊C4—434no—
1991C4⋊C4—434no—
1992C4⋊C4—434no—
1993C4⋊C4—434no—
1994C4⋊C4—434no—
1995C4⋊C4—434no—
1996C4⋊C4—432no—
1997C4⋊C4—434no—
1998C4⋊C4—432no—
1999C4⋊C4—432no—
2000C4⋊C4—432no—
2001C4⋊C4—432no—
2002C4⋊C4—434no—
2003C4⋊C4—434no—
2004C4⋊C4—432no—
2005C4⋊C4—434no—
2006C4⋊C4—432no—
2007C4⋊C4—434no—
2008C4⋊C4—434no—
2009C4⋊C4—432no—
2010C4⋊C4—432no—
2011C4⋊C4—432no—
2012C4⋊C4—431no—
2013C4⋊C4—432no—
2014C4⋊C4—434no—
2015C4⋊C4—432no—
2016C4⋊C4—432no—
2017C4⋊C4—434no—
2018C4⋊C4—434no—
2019C4⋊C4—434no—
2020C4⋊C4—434no—
2021C4⋊C4—432no—
2022C4⋊C4—431no—
2023C4⋊C4—434no—
2024C4⋊C4—434no—
2025C4⋊C4—434no—
2026C4⋊C4—432no—
2027C4⋊C4—432no—
2028C4⋊C4—434no—
2029C4⋊C4—432no—
2030C4⋊C4—434no—
2031C4⋊C4—434no—
2032C4⋊C4—434no—
2033C4⋊C4—434no—
2034C4⋊C4—434no—
2035C4⋊C4—434no—
2036C4⋊C4—434no—
2037C4⋊C4—434no—
2038C4⋊C4—434no—
2039C4⋊C4—434no—
2040C4⋊C4—434no—
2041C4⋊C4—434no—
2042C4⋊C4—434no—
2043C4⋊C4C23×D4312yes—
2044C4⋊C4C23×D4312yes—
2045C4⋊C4C23×D4312yes—
2046C4⋊C4C23×D4312yes—
2047C4⋊C4C23×D4312yes—
2048C4⋊C4C23×D4312yes—
2049C4⋊C4C23×D4311yescharacteristic
2050C4⋊C4C23×D4312yes—
2051C4⋊C4C23×D4314yes—
2052C4⋊C4C23×D4311yescharacteristic
2053C4⋊C4C23×D4314yes—
2054C4⋊C4C23×D4314yes—
2055C4⋊C4C23×D4312yes—
2056C4⋊C4C23×D4314yes—
2057C4⋊C4C23×D4314yes—
2058C4⋊C4C23×D4314yes—
2059C22⋊C4—432no—
2060C22⋊C4—434no—
2061C22⋊C4—432no—
2062C22⋊C4—434no—
2063C22⋊C4—432no—
2064C22⋊C4—434no—
2065C22⋊C4—434no—
2066C22⋊C4—434no—
2067C22⋊C4—434no—
2068C22⋊C4—434no—
2069C22⋊C4—432no—
2070C22⋊C4—432no—
2071C22⋊C4—434no—
2072C22⋊C4—434no—
2073C22⋊C4—434no—
2074C22⋊C4—434no—
2075C22⋊C4—434no—
2076C22⋊C4—434no—
2077C22⋊C4—434no—
2078C22⋊C4—434no—
2079C22⋊C4—432no—
2080C22⋊C4—432no—
2081C22⋊C4—432no—
2082C22⋊C4—432no—
2083C22⋊C4—432no—
2084C22⋊C4—432no—
2085C22⋊C4—434no—
2086C22⋊C4—432no—
2087C22⋊C4—432no—
2088C22⋊C4—434no—
2089C22⋊C4—434no—
2090C22⋊C4—432no—
2091C22⋊C4—432no—
2092C22⋊C4—434no—
2093C22⋊C4—434no—
2094C22⋊C4C23×D4312yes—
2095C22⋊C4C23×D4314yes—
2096C22⋊C4C23×D4312yes—
2097C22⋊C4C23×D4312yes—
2098C22⋊C4C23×D4312yes—
2099C22⋊C4C23×D4312yes—
2100C22⋊C4C23×D4314yes—
2101C22⋊C4C23×D4314yes—
2102C22⋊C4C23×D4314yes—
2103C22⋊C4C23×D4314yes—
2104C22⋊C4C23×D4314yes—
2105C22⋊C4C23×D4314yes—
2106C22⋊C4C23×D4314yes—
2107C22⋊C4C23×D4314yes—
2108C22⋊C4C23×D4314yes—
2109C42—431no—
2110C42—431no—
2111C42—431no—
2112C42—431no—
2113C42—431no—
2114C42—431no—
2115C42—431no—
2116C42—431no—
2117C42—431no—
2118C42—431no—
2119C42—431no—
2120C42—431no—
2121C42—434no—
2122C42—432no—
2123C42—432no—
2124C42—434no—
2125C42—434no—
2126C42—434no—
2127C42—434no—
2128C42—432no—
2129C42—434no—
2130C42—434no—
2131C42—434no—
2132C42—434no—
2133C42—434no—
2134C42—434no—
2135C42—434no—
2136C42C23×D4311yescharacteristic
2137C42C23×D4311yescharacteristic
2138C42C23×D4311yescharacteristic
2139C42C23×D4311yescharacteristic
2140C42C23×D4314yes—
2141C42C23×D4312yes—
2142C42C23×D4314yes—
2143C23—24no—
2144C23—42no—
2145C23—42no—
2146C23—431no—
2147C23—431no—
2148C23—434no—
2149C23—432no—
2150C23—864no—
2151C23—1722no—
2152C23—1722no—
2153C23—1721no—
2154C23—1721no—
2155C23C24×D4312yes—
2156C23C24×D4314yes—
2157C23C24×D4311yescharacteristic
2158Q8—24no—
2159Q8—24no—
2160Q8—44no—
2161Q8—42no—
2162Q8—41no—
2163Q8—42no—
2164Q8—864no—
2165Q8—868no—
2166Q8—864no—
2167Q8—1724no—
2168Q8—1721no—
2169Q8—1722no—
2170Q8—1724no—
2171Q8—1724no—
2172Q8—1724no—
2173D4—24no—
2174D4—24no—
2175D4—42no—
2176D4—41no—
2177D4—44no—
2178D4—44no—
2179D4—864no—
2180D4—864no—
2181D4—864no—
2182D4—868no—
2183D4—868no—
2184D4—864no—
2185D4—1721no—
2186D4—1724no—
2187D4—1724no—
2188C2×C4—22no—
2189C2×C4—22no—
2190C2×C4—24no—
2191C2×C4—41no—
2192C2×C4—44no—
2193C2×C4—42no—
2194C2×C4—44no—
2195C2×C4—44no—
2196C2×C4—431no—
2197C2×C4—431no—
2198C2×C4—431no—
2199C2×C4—431no—
2200C2×C4—434no—
2201C2×C4—432no—
2202C2×C4—431no—
2203C2×C4—432no—
2204C2×C4—431no—
2205C2×C4—434no—
2206C2×C4—434no—
2207C2×C4—434no—
2208C2×C4—432no—
2209C2×C4—862no—
2210C2×C4—862no—
2211C2×C4—862no—
2212C2×C4—862no—
2213C2×C4—862no—
2214C2×C4—862no—
2215C2×C4—864no—
2216C2×C4—862no—
2217C2×C4—868no—
2218C2×C4—862no—
2219C2×C4—864no—
2220C2×C4—862no—
2221C2×C4—862no—
2222C2×C4—864no—
2223C2×C4—1721no—
2224C2×C4—1721no—
2225C2×C4—1722no—
2226C2×C4—1722no—
2227C2×C4—1721no—
2228C2×C4—1721no—
2229C2×C4—1722no—
2230C2×C4—1724no—
2231C2×C4—1724no—
2232C2×C4—1724no—
2233C2×C4—1724no—
2234C2×C4—1724no—
2235C2×C4—1722no—
2236C2×C4—1722no—
2237C2×C4—1721no—
2238C2×C4—1724no—
2239C2×C4—1724no—
2240C2×C4—1724no—
2241C2×C4C24×D4311yescharacteristic
2242C2×C4C24×D4312yes—
2243C2×C4C24×D4314yes—
2244C2×C4C24×D4312yes—
2245C2×C4C24×D4314yes—
2246C2×C4C24×D4311yescharacteristic
2247C2×C4C24×D4311yescharacteristic
2248C2×C4C24×D4314yes—
2249C2×C4C24×D4311yescharacteristic
2250C2×C4C24×D4311yescharacteristic
2251C2×C4C24×D4312yes—
2252C2×C4C24×D4311yescharacteristic
2253C22—21no—
2254C22—21no—
2255C22—22no—
2256C22—24no—
2257C22—24no—
2258C22—22no—
2259C22—22no—
2260C22—24no—
2261C22—84no—
2262C22—432no—
2263C22—432no—
2264C22—861no—
2265C22—861no—
2266C22—861no—
2267C22—861no—
2268C22—862no—
2269C22—862no—
2270C22—862no—
2271C22—3444no—
2272C22—1724no—
2273C222−1+4×D4312yes—
2274C22C25×D4311yescharacteristic
2275C4—21no—
2276C4—21no—
2277C4—22no—
2278C4—22no—
2279C4—21no—
2280C4—21no—
2281C4—24no—
2282C4—22no—
2283C4—21no—
2284C4—24no—
2285C4—24no—
2286C4—432no—
2287C4—861no—
2288C4—861no—
2289C4—862no—
2290C4—864no—
2291C4—861no—
2292C4—864no—
2293C4—864no—
2294C4—862no—
2295C4—861no—
2296C4—862no—
2297C4—861no—
2298C4—864no—
2299C4#1458373412yes—
2300C2—22no—
2301C2—44no—
2302C2—42no—
2303C2—862no—
2304C2—862no—
2305C2—1722no—
2306C2C2×2−1+4×D4311yescharacteristic
2307C2#585×D4311yescharacteristic
2308C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3561C2
hypercenter#3561D43
hypocenterC43#62823
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3561

Complements

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

NH ≅ G/Ntype
1. #19149221C2semidirect
2. #19149220C2semidirect
3. #19149209C2semidirect
4. #19149205C2semidirect
5. #19149198C2semidirect
6. #19149195C2semidirect
7. #19149167C2semidirect
8. #19149157C2semidirect
9. #19149050C2semidirect
10. #19149046C2semidirect
11. #19149031C2semidirect
12. #19149027C2semidirect
13. #19148690C2semidirect
14. #19148682C2semidirect
15. #19148637C2semidirect
16. #19148631C2semidirect
17. #19148583C2semidirect
18. #19148582C2semidirect
19. #19148581C2semidirect
20. #19148433C2semidirect
21. #19148422C2semidirect
22. #19148395C2semidirect
23. #19148390C2semidirect
24. #19148345C2semidirect
25. #19148344C2semidirect
26. #19148334C2semidirect
27. #19148286C2semidirect
28. #533×D43C2semidirect
29. C2×#14583428C2semidirect
30. #529×D43C2semidirect
31. C43×#3561C2semidirect
32. C43⋊#564C22semidirect
33. C43⋊#564C22semidirect
34. #14583653C22semidirect
35. #14583652C22semidirect
36. #14583650C22semidirect
37. #14583650C22semidirect
38. #14583649C22semidirect
39. #14583649C22semidirect
40. #14583649C22semidirect
41. #14583643C22semidirect
42. #14583627C22semidirect
43. #14583625C22semidirect
44. #14583625C22semidirect
45. #14583624C22semidirect
46. #14583624C22semidirect
47. #14583620C22semidirect
48. #14583620C22semidirect
49. #14583620C22semidirect
50. #14583618C22semidirect
51. #14583618C22semidirect
52. #14583618C22semidirect
53. #14583618C22semidirect
54. #14583616C22semidirect
55. #14583610C22semidirect
56. #14583609C22semidirect
57. #14583608C22semidirect
58. #14583607C22semidirect
59. #14583607C22semidirect
60. #14583607C22semidirect
61. #14583607C22semidirect
62. #14583606C22semidirect
63. #14583603C22semidirect
64. #14583603C22semidirect
65. #14583603C22semidirect
66. #14583603C22semidirect
67. #14583603C22semidirect
68. #14583603C22semidirect
69. #14583600C22semidirect
70. #14583599C22semidirect
71. #14583596C22semidirect
72. #14583596C22semidirect
73. #14583596C22semidirect
74. #14583594C22semidirect
75. #14583594C22semidirect
76. #14583591C22semidirect
77. #14583591C22semidirect
78. #14583591C22semidirect
79. #14583590C22semidirect
80. #14583589C22semidirect
81. #14583589C22semidirect
82. #14583589C22semidirect
83. #14583589C22semidirect
84. #14583588C22semidirect
85. #14583586C22semidirect
86. #14583586C22semidirect
87. #14583586C22semidirect
88. #14583586C22semidirect
89. #14583586C22semidirect
90. #14583585C22semidirect
91. #14583585C22semidirect
92. #14583585C22semidirect
93. #14583585C22semidirect
94. #14583583C22semidirect
95. #14583583C22semidirect
96. #14583582C22semidirect
97. #14583582C22semidirect
98. #14583580C22semidirect
99. #14583580C22semidirect
100. #14583579C22semidirect
101. #14583579C22semidirect
102. #14583578C22semidirect
103. #14583577C22semidirect
104. #14583575C22semidirect
105. #14583575C22semidirect
106. #14583575C22semidirect
107. #14583572C22semidirect
108. #14583572C22semidirect
109. D4×Dic86C22semidirect
110. #14583564C22semidirect
111. Q8×C22⋊D43C22semidirect
112. Q8×C22⋊D43C22semidirect
113. Q8×C22⋊D43C22semidirect
114. #14583562C22semidirect
115. #14583562C22semidirect
116. #14583557C22semidirect
117. #14583557C22semidirect
118. #14583557C22semidirect
119. #14583556C22semidirect
120. #14583555C22semidirect
121. #14583549C22semidirect
122. #14583548C22semidirect
123. #14583543C22semidirect
124. #14583538C22semidirect
125. #14583528C22semidirect
126. #14583528C22semidirect
127. #14583528C22semidirect
128. #14583527C22semidirect
129. #14583526C22semidirect
130. #14583526C22semidirect
131. #14583525C22semidirect
133. #14583524C22semidirect
134. #14583519C22semidirect
135. #14583518C22semidirect
136. #14583518C22semidirect
137. #14583517C22semidirect
138. #14583516C22semidirect
139. #14583516C22semidirect
140. #14583513C22semidirect
141. #14583513C22semidirect
142. #14583511C22semidirect
143. #14583510C22semidirect
144. #14583510C22semidirect
145. #14583510C22semidirect
146. #14583509C22semidirect
147. #14583509C22semidirect
148. #14583509C22semidirect
149. #14583509C22semidirect
150. #14583507C22semidirect
151. #14583506C22semidirect
152. #14583506C22semidirect
153. #14583506C22semidirect
154. #14583506C22semidirect
155. #14583506C22semidirect
157. #14583495C22semidirect
158. #14583495C22semidirect
160. #14583494C22semidirect
161. #14583494C22semidirect
162. #14583493C22semidirect
164. #14583492C22semidirect
165. #14583492C22semidirect
166. #14583490C22semidirect
169. #14583471C22semidirect
170. #14583469C22semidirect
172. #14583456C22semidirect
173. #14583455C22semidirect
174. #14583454C22semidirect
175. #14583454C22semidirect
176. #14583454C22semidirect
177. #14583453C22semidirect
178. #14583453C22semidirect
179. #14583453C22semidirect
180. #14583452C22semidirect
181. #14583451C22semidirect
182. #14583451C22semidirect
183. #14583451C22semidirect
184. C4⋊Q8×D43C22semidirect
185. C4⋊Q8×D43C22semidirect
186. #14583436C22semidirect
188. #14583434C22semidirect
190. #14583432C22semidirect
191. #14583432C22semidirect
193. #14583431C22semidirect
194. #14583431C22semidirect
203. #14583428C22semidirect
204. #14583428C22semidirect
205. #14583428C22semidirect
206. #14583428C22semidirect
207. #14583428C22semidirect
208. #14583428C22semidirect
209. #14583427C22semidirect
210. #14583427C22semidirect
212. C2×#13063318C22semidirect
213. #126×D43C22semidirect
214. C2×#13063317C22semidirect
215. #125×D43C22semidirect
216. #125×D43C22semidirect
217. #124×D43C22semidirect
223. C2×#13063302C22semidirect
225. C2×#13063301C22semidirect
229. C22⋊Q8×D43C22semidirect
232. #14583382C22semidirect
233. #14583378C22semidirect
234. #14583378C22semidirect
235. #14583377C22semidirect
236. #14583376C22semidirect
237. #14583375C22semidirect
240. C2×Q8×Dic43C22semidirect
241. C4×Q8×D43C22semidirect
242. C4×Q8×D43C22semidirect
243. C4×Q8×D43C22semidirect
244. C2×D4×Dic43C22semidirect
247. C4×D4×D43C22semidirect
248. C2×#13063281C22semidirect
250. #117×D43C22semidirect
252. C43×#563C22semidirect
253. C43×#562C22semidirect
254. C43×#556C22semidirect
255. C43×#551C22semidirect
256. D4×Q8×C43C22semidirect
257. C43×#548C22semidirect
258. C43×#546C22semidirect
259. C43×#543C22semidirect
260. C43×#542C22semidirect
261. C43×#542C22semidirect
263. C43×#536C22semidirect
264. C43×#533C22semidirect
266. C2×#124×C43C22semidirect
1154. #3561D43semidirect
1195. #563C2×D43semidirect
1197. #562C2×D43semidirect
1211. #556C2×D43semidirect
1266. #551C2×D43semidirect
1274. D4×Q8C2×D43semidirect
1280. #548C2×D43semidirect
1285. #546C2×D43semidirect
1295. #543C2×D43semidirect
1304. #542C2×D43semidirect
1305. #542C2×D43semidirect
1336. #536C2×D43semidirect
1350. #533C2×D43semidirect
1386. C2×#124C2×D43semidirect
1421. C43#62823semidirect

Maximal subgroups

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

subgroupindex
#191492212
#191492202
#191492092
#191492052
#191491982
#191491952
#191491672
#191491572
#191490502
#191490462
#191490312
#191490272
#191486902
#191486822
#191486372
#191486312
#191485832
#191485822
#191485812
#191484332
#191484222
#191483952
#191483902
#191483452
#191483442
#191483342
#191482862
#533×D432
C2×#145834282
#529×D432
C43×#35612
#6282343