Finite Group Databasebeta

← #25988606

Subgroups — #25988606

Order 11008.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149064C211yesmaximal, characteristic, complemented
2#19148459C211yesmaximal, characteristic, complemented
3#19147686C211yesmaximal, characteristic, complemented
4#19147682C211yesmaximal, characteristic, complemented
5#19147667C211yesmaximal, characteristic, complemented
6#19147660C211yesmaximal, characteristic, complemented
7#19147652C211yesmaximal, characteristic, complemented
8#19147645C211yesmaximal, characteristic, complemented
9#19147618C211yesmaximal, characteristic, complemented
10#19147614C211yesmaximal, characteristic, complemented
11#19147441C211yesmaximal, characteristic, complemented
12#19147430C211yesmaximal, characteristic, complemented
13#19147381C211yesmaximal, characteristic, complemented
14#19147371C211yesmaximal, characteristic, complemented
15#19147352C211yesmaximal, characteristic, complemented
16#19147347C211yesmaximal, characteristic, complemented
17#19147318C211yesmaximal, characteristic, complemented
18#19147310C211yesmaximal, characteristic, complemented
19#19145710C211yesmaximal, characteristic, complemented
20#19145656C211yesmaximal, characteristic, complemented
21#19145652C211yesmaximal, characteristic, complemented
22#19145636C211yesmaximal, characteristic, complemented
23#19145587C211yesmaximal, characteristic, complemented
24#19144858C211yesmaximal, characteristic, complemented
25#19144851C211yesmaximal, characteristic, complemented
26#19144796C211yesmaximal, characteristic, complemented
27#19144795C211yesmaximal, characteristic, complemented
28#19144767C211yesmaximal, characteristic, complemented
29#19144712C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3225C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583643—21no—
34#14583634C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583631C2211yescharacteristic
39#14583625C2211yescharacteristic
40#14583624C2211yescharacteristic
41#14583624C2211yescharacteristic
42#14583623C2211yescharacteristic
43#14583623C2211yescharacteristic
44#14583620—21no—
45#14583618C2211yescharacteristic
46#14583618C2211yescharacteristic
47#14583610C2211yescharacteristic
48#14583608C2211yescharacteristic
49#14583607—21no—
50#14583591—21no—
51#14583583—21no—
52#14583570C2211yescharacteristic
53#14583564C2211yescharacteristic
54#14583557—21no—
55#14583547—21no—
56#14583522C2211yescharacteristic
57#14583515—21no—
58#14583504C2211yescharacteristic
59#14583502C2211yescharacteristic
60#14583498—21no—
61#14583493—21no—
62#14583493—21no—
63#14583490—21no—
64#14583473C2211yescharacteristic
65#14583472—21no—
66#14583452C2211yescharacteristic
67#14583445C2211yescharacteristic
68#14583444C2211yescharacteristic
69#14583435C2211yescharacteristic
70#14583426—21no—
71#14583426—21no—
72#14583382C2211yescharacteristic
73#14583379C2211yescharacteristic
74C2×Q8×Dic43C2211yescharacteristic
75#14583292C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583289C2211yescharacteristic
78#14583287C2211yescharacteristic
79#14583285C2211yescharacteristic
80#14583285C2211yescharacteristic
81#14583285C2211yescharacteristic
82#14583284C2211yescharacteristic
83#14583273C2211yescharacteristic
84#14583270C2211yescharacteristic
85#14583267C2211yescharacteristic
86#14583266C2211yescharacteristic
87#14583266C2211yescharacteristic
88#14583262C2211yescharacteristic
89#14583260C2211yescharacteristic
90#14583260C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583255C2211yescharacteristic
93#14583253C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583232C2211yescharacteristic
96#14583218C2211yescharacteristic
97#14583213C2211yescharacteristic
98#14583210C2211yescharacteristic
99#14583207C2211yescharacteristic
100#14583204C2211yescharacteristic
101#14583204C2211yescharacteristic
102#14583204C2211yescharacteristic
103#14583201C2211yescharacteristic
104#14583200C2211yescharacteristic
105#14583192C2211yescharacteristic
106#14583192C2211yescharacteristic
107#14583192C2211yescharacteristic
108#14583191C2211yescharacteristic
109#14583177C2211yescharacteristic
110#14583176C2211yescharacteristic
111#14583123C2211yescharacteristic
112#14583123C2211yescharacteristic
113#14583123C2211yescharacteristic
114#14583123C2211yescharacteristic
115#14583123C2211yescharacteristic
116#14583119C2211yescharacteristic
117#14583118C2211yescharacteristic
118#14583117C2211yescharacteristic
119#14583117C2211yescharacteristic
120#14583117C2211yescharacteristic
121#14583116C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583111C2211yescharacteristic
127#14583107C2211yescharacteristic
128#14583103C2211yescharacteristic
129#14583103C2211yescharacteristic
130#14583103C2211yescharacteristic
131#14583102C2211yescharacteristic
132#14583102C2211yescharacteristic
133#14583101C2211yescharacteristic
134#14583101C2211yescharacteristic
135#14583100C2211yescharacteristic
136#14583097C2211yescharacteristic
137#14583097C2211yescharacteristic
138#14583097C2211yescharacteristic
139#14583095C2211yescharacteristic
140#14583093C2211yescharacteristic
141#14583092C2211yescharacteristic
142#14583092C2211yescharacteristic
143#14583059C2211yescharacteristic
144#14583046C2211yescharacteristic
145#14583046C2211yescharacteristic
146#14583044C2211yescharacteristic
147#14583044C2211yescharacteristic
148#14583042C2211yescharacteristic
149#14583038C2211yescharacteristic
150#14583038C2211yescharacteristic
151#14583029C2211yescharacteristic
152#14583029C2211yescharacteristic
153#14583028C2211yescharacteristic
154#14583028C2211yescharacteristic
155#14583027C2211yescharacteristic
156#14583027C2211yescharacteristic
157#14583026C2211yescharacteristic
158#14583026C2211yescharacteristic
159#14583012C2211yescharacteristic
160#14583011C2211yescharacteristic
161#14583006C2211yescharacteristic
162#14583006C2211yescharacteristic
163#14583002C2211yescharacteristic
164#14583002C2211yescharacteristic
165#14583002C2211yescharacteristic
166#14583002C2211yescharacteristic
167#14583002C2211yescharacteristic
168#14583002C2211yescharacteristic
169#14583001C2211yescharacteristic
170#14583000C2211yescharacteristic
171#14583000C2211yescharacteristic
172#14583000C2211yescharacteristic
173#14582999C2211yescharacteristic
174#14582997C2211yescharacteristic
175Q16×Dic43C2211yescharacteristic
176C4×#10621885C2211yescharacteristic
177C4×#10621873C2211yescharacteristic
178SD16×Dic43C2211yescharacteristic
179C4×D344C2211yescharacteristic
180C4×#10621882C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#536C2211yescharacteristic
190C43×#497C2211yescharacteristic
191C43×#495C2211yescharacteristic
192C43×#489C2211yescharacteristic
193C43×#487C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#462C2211yescharacteristic
197C43×#461C2211yescharacteristic
198C43×#452C2211yescharacteristic
199C43×#451C2211yescharacteristic
200C43×#449C2211yescharacteristic
201C43×#448C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×Q8×D43—21no—
207C2×#10621885C2311yescharacteristic
208C2×#10621873C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621884C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×D344C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223#13063324—21no—
224#13063324D411yescharacteristic
225#13063324D411yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323C2311yescharacteristic
229#13063323C2311yescharacteristic
230#13063323C2311yescharacteristic
231#13063322C2311yescharacteristic
232#13063321C2311yescharacteristic
233#13063321C2311yescharacteristic
234#13063321C2311yescharacteristic
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063317—21no—
246#13063317C2311yescharacteristic
247#13063316—21no—
248#13063316—21no—
249#13063316—21no—
250#13063316D411yescharacteristic
251#13063316D411yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063314C2311yescharacteristic
259#13063314C2311yescharacteristic
260#13063314C2311yescharacteristic
261#13063314C2311yescharacteristic
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063312C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063309—21no—
277#13063309—21no—
278#13063309—21no—
279#13063309—21no—
280#13063309—21no—
281#13063308—21no—
282#13063308—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063305—21no—
290#13063305—21no—
291#13063305—21no—
292#13063305—21no—
293#13063304—21no—
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302D411yescharacteristic
301#13063302D411yescharacteristic
302#13063302D411yescharacteristic
303#13063302D411yescharacteristic
304#13063301—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301—21no—
308#13063301—21no—
309#13063299—21no—
310#13063299C2311yescharacteristic
311#13063299C2311yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063296—21no—
321Q8×Dic43—21no—
322Q8×Dic43—21no—
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331C4×Dic86—21no—
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338#13063290—21no—
339#13063290—21no—
340C4×D172—21no—
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345D4×Dic43—21no—
346D4×Dic43—21no—
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284—21no—
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283—21no—
369#13063283—21no—
370#13063283—21no—
371#13063281—21no—
372#13063281—21no—
373C2×C4⋊Dic43—21no—
374C2×C4⋊Dic43—21no—
375C2×C4⋊Dic43C2311yescharacteristic
376C2×Dic43⋊C4—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C2×C4×Dic43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C22×Q8×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#126×C43—21no—
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478#41×C43—41no—
479#41×C43—41no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43—41no—
483C2×Q8×C43—41no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43C2×D411yescharacteristic
511C22×Dic43C2×D411yescharacteristic
512Q8×D43—82no—
513#10621900—82no—
514#10621898—41no—
515#10621898—41no—
516#10621898—82no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172C2411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2×D411yescharacteristic
535C2×Dic86C2×D411yescharacteristic
536C2×Dic86C2×D411yescharacteristic
537C2×Dic86C2411yescharacteristic
538Q16×C43—41no—
539Q16×C43—41no—
540Q16×C43—41no—
541SD16×C43—41no—
542SD16×C43—41no—
543SD16×C43—41no—
544SD16×C43—41no—
545D8×C43—41no—
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43C2×D411yescharacteristic
571C22⋊C4×C43C2×D411yescharacteristic
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C42×C43C2411yescharacteristic
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
583#10621885—41no—
584#10621884—41no—
585#10621884—41no—
586#10621884—41no—
587#10621884—41no—
588#10621884—41no—
589#10621884—41no—
590#10621884—41no—
591#10621883—41no—
592#10621882—41no—
593#10621882—41no—
594#10621882—41no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678D344—41no—
679D344—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—42no—
697Q8×C43—81no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—42no—
703D4×C43—81no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—42no—
713C2×C4×C43—42no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—42no—
722C22⋊D43—42no—
723C22⋊D43—42no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—41no—
736C2×Dic43—41no—
737C2×Dic43—81no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—21no—
751D172—21no—
752D172—21no—
753D172—21no—
754D172—21no—
755D172—21no—
756D172—81no—
757D172—81no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767Dic86—21no—
768Dic86—21no—
769Dic86—41no—
770Dic86—41no—
771Dic86—41no—
772Dic86—41no—
773Dic86—42no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61940—431nomaximal, Sylow
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C4×C43—21no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43#58511yescharacteristic
815C4×C43#58511yescharacteristic
816Dic43—21no—
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829#3554—431no—
830#3507—431no—
831#3403—431no—
832#3403—431no—
833#3401—431no—
834#3401—431no—
835#3400—431no—
836#3400—431no—
837#3397—431no—
838#3397—431no—
839#3377—431no—
840#3377—431no—
841#3372—431no—
842#3372—431no—
843#3370—431no—
844#3370—431no—
845#3367—431no—
846#3367—431no—
847#3225—431no—
848#3225D4311yescharacteristic, complemented
849#3221—431no—
850#3221—431no—
851#3219—431no—
852#3214—431no—
853#3124—431no—
854#3124—431no—
855#3119—431no—
856#3119—431no—
857#3117—431no—
858#3112—431no—
859#2987—431no—
860C2×C43—41no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43#348711yescharacteristic
864C2×C43#358511yescharacteristic
865C2×C43#358611yescharacteristic
866D43—81no—
867D43—81no—
868D43—81no—
869#562—861no—
870#562—861no—
871#559—431no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876#557—431no—
877#557—431no—
878#557—431no—
879#556—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—861no—
884#554—431no—
885#554—431no—
886#554—861no—
887#552—861no—
888#552—861no—
889#550—431no—
890D4×Q8—431no—
891#548—861no—
892#547—861no—
893#542—431no—
894#542—861no—
895#542C2×D4311yescharacteristic
896#540—431no—
897#540—431no—
898#539—861no—
899#539—861no—
900#539—861no—
901#539—861no—
902#536—431no—
903#536—861no—
904#536C2×D4311yescharacteristic
905#533—431no—
906#532—431no—
907#532—431no—
908#529—431no—
909#529—861no—
910#529—861no—
911#520—431no—
912#520—431no—
913C2×C4×Q8—431no—
914#497—431no—
915#497—431no—
916#497C2×D4311yescharacteristic
917#496—431no—
918#496—431no—
919#496—431no—
920#496—431no—
921#496—431no—
922#495—431no—
923#495C2×D4311yescharacteristic
924#492—431no—
925#492—431no—
926#491—431no—
927#491—431no—
928#491—431no—
929#490—431no—
930#489—431no—
931#489—431no—
932#489—431no—
933#489C2×D4311yescharacteristic
934#488—431no—
935#488—431no—
936#487—431no—
937#487C2×D4311yescharacteristic
938#484—431no—
939#481—431no—
940#480—431no—
941#480—431no—
942#479—431no—
943#479—431no—
944#479—431no—
945#479—431no—
946#478—431no—
947#478—431no—
948#477—431no—
949#477—431no—
950#477—431no—
951#477—431no—
952#474—431no—
953#474—431no—
954#464—431no—
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464C2×D4311yescharacteristic
962#463—431no—
963#463—431no—
964#463—431no—
965#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463C2×D4311yescharacteristic
972#462—431no—
973#462C2×D4311yescharacteristic
974#461—431no—
975#461—431no—
976#461—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#461C2×D4311yescharacteristic
982#460—431no—
983#460—431no—
984#460—431no—
985#460—431no—
986#459—431no—
987#459—431no—
988#459—431no—
989#459—431no—
990#452—431no—
991#452C2×D4311yescharacteristic
992#451C2×D4311yescharacteristic
993#449—431no—
994#449—431no—
995#449—431no—
996#449—431no—
997#449—431no—
998#449C2×D4311yescharacteristic
999#448—431no—
1000#448—431no—
1001#448C2×D4311yescharacteristic
1002#446—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×D8—431no—
1031C4×D8—431no—
1032C4×D8—431no—
1033C4×D8—431no—
1034#433—431no—
1035#433—431no—
1036#433—431no—
1037#433C2×D4311yescharacteristic
1038#432—431no—
1039#432—431no—
1040C43#6194011yescharacteristic, complemented, Sylow
1041C2×#41—431no—
1042C2×#41—861no—
1043C2×#41—861no—
1044C2×#41C22×D4311yescharacteristic
1045C22×Q8—861no—
1046C22×Q8C22×D4311yescharacteristic
1047C2×Q16—431no—
1048C2×Q16C22×D4311yescharacteristic
1049C2×Q16C22×D4311yescharacteristic
1050C2×Q16C22×D4311yescharacteristic
1051C2×SD16—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16C22×D4311yescharacteristic
1062C2×SD16C22×D4311yescharacteristic
1063C2×SD16C22×D4311yescharacteristic
1064C2×SD16C22×D4311yescharacteristic
1065C2×D8—431no—
1066C2×D8—431no—
1067C2×D8—431no—
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8C22×D4311yescharacteristic
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—861no—
1079C4⋊Q8C22×D4311yescharacteristic
1080C4⋊Q8C22×D4311yescharacteristic
1081C4⋊Q8C22×D4311yescharacteristic
1082#127—431no—
1083#127—431no—
1084#127—431no—
1085#127—431no—
1086#126—21no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#125—431no—
1098#125—431no—
1099#125—431no—
1100#125—431no—
1101#125—431no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#124—21no—
1111#124—431no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124C22×D4311yescharacteristic
1125#124C22×D4311yescharacteristic
1126#124C22×D4311yescharacteristic
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8C22×D4311yescharacteristic
1172#121—431no—
1173#121—431no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121C22×D4311yescharacteristic
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8C22×D4311yescharacteristic
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4C22×D4311yescharacteristic
1231#117—431no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117C22×D4311yescharacteristic
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C42—431no—
1247C2×C42—861no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#106—431no—
1255#106—431no—
1256C4⋊C8—431no—
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8C22×D4311yescharacteristic
1303C22⋊C8C22×D4311yescharacteristic
1304#97—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312C4×C8—431no—
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8C22×D4311yescharacteristic
1316#41—41no—
1317#41—41no—
1318#41—3442no—
1319#41—3442no—
1320#41—1721no—
1321#41—1721no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—3442no—
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×Q8C23×D4311yescharacteristic
1337C2×Q8C23×D4311yescharacteristic
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4C23×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4C23×D4311yescharacteristic
1376Q16—41no—
1377Q16—41no—
1378Q16—41no—
1379Q16—1721no—
1380SD16—41no—
1381SD16—41no—
1382SD16—41no—
1383SD16—41no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393SD16—1721no—
1394D8—41no—
1395D8—1721no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399D8—1721no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—431no—
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4D4×D4311yescharacteristic
1459C4⋊C4D4×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4D4×D4311yescharacteristic
1500C22⋊C4D4×D4311yescharacteristic
1501C42—21no—
1502C42—431no—
1503C42—431no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42C23×D4311yescharacteristic
1519C42C23×D4311yescharacteristic
1520C23—21no—
1521C23—21no—
1522C23—861no—
1523C23—861no—
1524C23—861no—
1525C23C2×D4×D4311yescharacteristic
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—42no—
1535Q8—81no—
1536Q8—861no—
1537Q8—861no—
1538Q8—3441no—
1539Q8—1721no—
1540Q8—1721no—
1541Q8—1721no—
1542Q8—1721no—
1543Q8—1722no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—42no—
1549D4—81no—
1550D4—861no—
1551D4—861no—
1552D4—861no—
1553D4—861no—
1554D4—861no—
1555D4—861no—
1556D4—3441no—
1557D4—3441no—
1558D4—3441no—
1559D4—3441no—
1560D4—3441no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—1722no—
1565D4—1722no—
1566D4—1722no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—42no—
1576C2×C4—42no—
1577C2×C4—81no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—3441no—
1592C2×C4—3441no—
1593C2×C4—3441no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1721no—
1606C2×C4—1721no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C24×D4311yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—861no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—1721no—
1631C22—1721no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22C22×D4×D4311yescharacteristic
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—861no—
1652C4—861no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—1721no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4#1458373411yescharacteristic
1665C4#1458373411yescharacteristic
1666C2—41no—
1667C2—81no—
1668C2—81no—
1669C2—3441no—
1670C2—3441no—
1671C2—3441no—
1672C2#1914825111yescharacteristic
1673C2#1914937311yescharacteristic
1674C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3225C2
socleC22×C43C23×D4
hypercenter#3225D43
hypocenterC43#61940
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #19149064C2semidirect
2. #19148459C2semidirect
3. #19147686C2semidirect
4. #19147682C2semidirect
5. #19147667C2semidirect
6. #19147660C2semidirect
7. #19147652C2semidirect
8. #19147645C2semidirect
9. #19147618C2semidirect
10. #19147614C2semidirect
11. #19147441C2semidirect
12. #19147430C2semidirect
13. #19147381C2semidirect
14. #19147371C2semidirect
15. #19147352C2semidirect
16. #19147347C2semidirect
17. #19147318C2semidirect
18. #19147310C2semidirect
19. #19145710C2semidirect
20. #19145656C2semidirect
21. #19145652C2semidirect
22. #19145636C2semidirect
23. #19145587C2semidirect
24. #19144858C2semidirect
25. #19144851C2semidirect
26. #19144796C2semidirect
27. #19144795C2semidirect
28. #19144767C2semidirect
29. #19144712C2semidirect
30. #19143699C2semidirect
31. C43×#3225C2semidirect
848. #3225D43semidirect
1040. C43#61940semidirect

Maximal subgroups

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

subgroupindex
#191490642
#191484592
#191476862
#191476822
#191476672
#191476602
#191476522
#191476452
#191476182
#191476142
#191474412
#191474302
#191473812
#191473712
#191473522
#191473472
#191473182
#191473102
#191457102
#191456562
#191456522
#191456362
#191455872
#191448582
#191448512
#191447962
#191447952
#191447672
#191447122
#191436992
C43×#32252
#6194043