Finite Group Databasebeta

← #25988622

Subgroups — #25988622

Order 11008.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149081C211yesmaximal, characteristic, complemented
2#19148453C211yesmaximal, characteristic, complemented
3#19147674C211yesmaximal, characteristic, complemented
4#19147673C211yesmaximal, characteristic, complemented
5#19147666C211yesmaximal, characteristic, complemented
6#19147659C211yesmaximal, characteristic, complemented
7#19147629C211yesmaximal, characteristic, complemented
8#19147627C211yesmaximal, characteristic, complemented
9#19147624C211yesmaximal, characteristic, complemented
10#19147624C211yesmaximal, characteristic, complemented
11#19147423C211yesmaximal, characteristic, complemented
12#19147418C211yesmaximal, characteristic, complemented
13#19147399C211yesmaximal, characteristic, complemented
14#19147397C211yesmaximal, characteristic, complemented
15#19147370C211yesmaximal, characteristic, complemented
16#19147359C211yesmaximal, characteristic, complemented
17#19147338C211yesmaximal, characteristic, complemented
18#19147334C211yesmaximal, characteristic, complemented
19#19145700C211yesmaximal, characteristic, complemented
20#19145698C211yesmaximal, characteristic, complemented
21#19145680C211yesmaximal, characteristic, complemented
22#19145676C211yesmaximal, characteristic, complemented
23#19145630C211yesmaximal, characteristic
24#19145603C211yesmaximal, characteristic, complemented
25#19144875C211yesmaximal, characteristic, complemented
26#19144812C211yesmaximal, characteristic, complemented
27#19144809C211yesmaximal, characteristic, complemented
28#19144763C211yesmaximal, characteristic, complemented
29#19144722C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3125C211yesmaximal, characteristic, complemented
32#14583652—21no—
33#14583649—21no—
34#14583632C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583629C2211yescharacteristic
37#14583627C2211yescharacteristic
38#14583627C2211yescharacteristic
39#14583627C2211yescharacteristic
40#14583625C2211yescharacteristic
41#14583624C2211yescharacteristic
42#14583621C2211yescharacteristic
43#14583621C2211yescharacteristic
44#14583619C2211yescharacteristic
45#14583619C2211yescharacteristic
46#14583619C2211yescharacteristic
47#14583618—21no—
48#14583618C2211yescharacteristic
49#14583618C2211yescharacteristic
50#14583617—21no—
51#14583608C2211yescharacteristic
52#14583604—21no—
53#14583588—21no—
54#14583586—21no—
55#14583584—21no—
56#14583528—21no—
57#14583516C2211yescharacteristic
58#14583511C2211yescharacteristic
59#14583509—21no—
60#14583509C2211yescharacteristic
61#14583506—21no—
62#14583506—21no—
63#14583491—21no—
64#14583491—21no—
65#14583475C2211yescharacteristic
66#14583470C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583451C2211yescharacteristic
69#14583445C2211yescharacteristic
70#14583430C2211yescharacteristic
71#14583429—21no—
72#14583429—21no—
73#14583380C2211yescharacteristic
74C2×#13063290C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583293C2211yescharacteristic
77#14583292C2211yescharacteristic
78#14583290C2211yescharacteristic
79#14583290C2211yescharacteristic
80#14583290C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583287C2211yescharacteristic
83#14583282C2211yescharacteristic
84#14583281C2211yescharacteristic
85#14583279C2211yescharacteristic
86#14583277C2211yescharacteristic
87#14583268C2211yescharacteristic
88#14583266C2211yescharacteristic
89#14583266C2211yescharacteristic
90#14583262C2211yescharacteristic
91#14583261C2211yescharacteristic
92#14583260C2211yescharacteristic
93#14583257C2211yescharacteristic
94#14583257C2211yescharacteristic
95#14583254C2211yescharacteristic
96#14583252C2211yescharacteristic
97#14583251C2211yescharacteristic
98#14583248C2211yescharacteristic
99#14583234C2211yescharacteristic
100#14583229C2211yescharacteristic
101#14583209C2211yescharacteristic
102#14583209C2211yescharacteristic
103#14583209C2211yescharacteristic
104#14583206C2211yescharacteristic
105#14583199C2211yescharacteristic
106#14583198C2211yescharacteristic
107#14583188C2211yescharacteristic
108#14583183C2211yescharacteristic
109#14583183C2211yescharacteristic
110#14583183C2211yescharacteristic
111#14583124C2211yescharacteristic
112#14583122C2211yescharacteristic
113#14583122C2211yescharacteristic
114#14583121C2211yescharacteristic
115#14583120C2211yescharacteristic
116#14583120C2211yescharacteristic
117#14583120C2211yescharacteristic
118#14583120C2211yescharacteristic
119#14583120C2211yescharacteristic
120#14583120C2211yescharacteristic
121#14583119C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583114C2211yescharacteristic
124#14583113C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583112C2211yescharacteristic
127#14583110C2211yescharacteristic
128#14583110C2211yescharacteristic
129#14583109C2211yescharacteristic
130#14583109C2211yescharacteristic
131#14583108C2211yescharacteristic
132#14583108C2211yescharacteristic
133#14583108C2211yescharacteristic
134#14583108C2211yescharacteristic
135#14583108C2211yescharacteristic
136#14583108C2211yescharacteristic
137#14583107C2211yescharacteristic
138#14583107C2211yescharacteristic
139#14583104C2211yescharacteristic
140#14583104C2211yescharacteristic
141#14583103C2211yescharacteristic
142#14583102C2211yescharacteristic
143#14583098C2211yescharacteristic
144#14583097C2211yescharacteristic
145#14583063C2211yescharacteristic
146#14583063C2211yescharacteristic
147#14583061C2211yescharacteristic
148#14583061C2211yescharacteristic
149#14583059C2211yescharacteristic
150#14583057C2211yescharacteristic
151#14583057C2211yescharacteristic
152#14583054C2211yescharacteristic
153#14583042C2211yescharacteristic
154#14583037C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583029C2211yescharacteristic
157#14583028C2211yescharacteristic
158#14583028C2211yescharacteristic
159#14583027C2211yescharacteristic
160#14583027C2211yescharacteristic
161#14583026C2211yescharacteristic
162#14583026C2211yescharacteristic
163#14583008C2211yescharacteristic
164#14583005C2211yescharacteristic
165#14583005C2211yescharacteristic
166#14583005C2211yescharacteristic
167#14583005C2211yescharacteristic
168#14583005C2211yescharacteristic
169#14583005C2211yescharacteristic
170#14583004C2211yescharacteristic
171#14583003C2211yescharacteristic
172#14583003C2211yescharacteristic
173#14583002C2211yescharacteristic
174#14582999C2211yescharacteristic
175#14582996C2211yescharacteristic
176#14582996C2211yescharacteristic
177C4×#10621885C2211yescharacteristic
178#14582991C2211yescharacteristic
179#14582990C2211yescharacteristic
180#14582986C2211yescharacteristic
181#14582986C2211yescharacteristic
182C4×#10621883C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#483C2211yescharacteristic
191C43×#481C2211yescharacteristic
192C43×#476C2211yescharacteristic
193C43×#475C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#452C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#441C2211yescharacteristic
200C4×SD16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C22×Dic86C2311yescharacteristic
205C2×Dic172C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225#13063325C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324D411yescharacteristic
231#13063324D411yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323—21no—
235#13063323—21no—
236#13063323—21no—
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063320—21no—
244#13063320—21no—
245#13063319—21no—
246#13063319—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063317—21no—
264#13063317—21no—
265#13063317—21no—
266#13063317—21no—
267#13063317C2311yescharacteristic
268#13063316—21no—
269#13063316—21no—
270#13063316D411yescharacteristic
271#13063316D411yescharacteristic
272#13063316C2311yescharacteristic
273#13063316C2311yescharacteristic
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063314C2311yescharacteristic
287#13063313C2311yescharacteristic
288#13063313C2311yescharacteristic
289#13063312—21no—
290#13063312C2311yescharacteristic
291#13063312C2311yescharacteristic
292#13063312C2311yescharacteristic
293#13063312C2311yescharacteristic
294#13063312C2311yescharacteristic
295#13063311—21no—
296#13063311—21no—
297#13063309—21no—
298#13063309—21no—
299#13063308—21no—
300#13063308—21no—
301#13063307—21no—
302#13063307—21no—
303#13063306—21no—
304#13063306—21no—
305#13063306—21no—
306#13063306—21no—
307#13063305—21no—
308#13063305—21no—
309#13063304—21no—
310#13063304—21no—
311#13063304—21no—
312#13063304—21no—
313#13063304—21no—
314#13063304—21no—
315#13063304C2311yescharacteristic
316#13063304C2311yescharacteristic
317#13063303—21no—
318#13063303—21no—
319#13063302—21no—
320#13063302—21no—
321#13063302—21no—
322#13063302—21no—
323#13063302—21no—
324#13063302—21no—
325#13063302D411yescharacteristic
326#13063302D411yescharacteristic
327#13063302D411yescharacteristic
328#13063302D411yescharacteristic
329#13063297—21no—
330#13063297—21no—
331Q8×Dic43—21no—
332Q8×Dic43C2311yescharacteristic
333Q8×Dic43C2311yescharacteristic
334C4×Dic86—21no—
335C4×Dic86—21no—
336C4×Dic86—21no—
337C4×Dic86—21no—
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344#13063290—21no—
345#13063290—21no—
346#13063290—21no—
347#13063290—21no—
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357#13063290C2311yescharacteristic
358D4×Dic43—21no—
359D4×Dic43C2311yescharacteristic
360D4×Dic43C2311yescharacteristic
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369#13063284—21no—
370#13063284—21no—
371#13063284—21no—
372#13063284C2311yescharacteristic
373#13063283—21no—
374#13063282—21no—
375#13063282—21no—
376#13063281—21no—
377#13063281—21no—
378#13063281—21no—
379#13063281—21no—
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4—21no—
382C4⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
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#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
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
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459C2×C4⋊C4×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×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×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43C2×D411yescharacteristic
500C22×Dic43C2×D411yescharacteristic
501#10621898—41no—
502#10621898—41no—
503C2×D172C2411yescharacteristic
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×Dic86—21no—
508C2×Dic86—21no—
509C2×Dic86—21no—
510C2×Dic86—41no—
511C2×Dic86—41no—
512C2×Dic86C2×D411yescharacteristic
513C2×Dic86C2×D411yescharacteristic
514C2×Dic86C2×D411yescharacteristic
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519C2×Dic86C2411yescharacteristic
520C2×Dic86C2411yescharacteristic
521Q16×C43—41no—
522SD16×C43—41no—
523SD16×C43—41no—
524D8×C43—41no—
525C2×C8×C43C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43C2×D411yescharacteristic
536C4⋊C4×C43C2×D411yescharacteristic
537C4⋊C4×C43C2411yescharacteristic
538C4⋊C4×C43C2411yescharacteristic
539C4⋊C4×C43C2411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C22⋊C4×C43—21no—
542C22⋊C4×C43—21no—
543C22⋊C4×C43—21no—
544C22⋊C4×C43—21no—
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43C2×D411yescharacteristic
549C22⋊C4×C43C2×D411yescharacteristic
550C42×C43—21no—
551C42×C43—21no—
552C42×C43—21no—
553C42×C43C2411yescharacteristic
554C42×C43C2411yescharacteristic
555C22⋊Dic43—21no—
556C22⋊Dic43—21no—
557C22⋊Dic43—21no—
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566C22⋊Dic43—21no—
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43C2×D411yescharacteristic
570C22⋊Dic43C2×D411yescharacteristic
571#10621885—41no—
572#10621885—41no—
573#10621885—41no—
574#10621885—41no—
575#10621885—41no—
576#10621884—41no—
577#10621883—41no—
578#10621883—41no—
579#10621883—41no—
580#10621883—41no—
581#10621883—41no—
582#10621882—41no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43C2×D411yescharacteristic
602C4⋊Dic43C2×D411yescharacteristic
603C4⋊Dic43C2×D411yescharacteristic
604C4⋊Dic43C2×D411yescharacteristic
605C4⋊Dic43C2×D411yescharacteristic
606C4⋊Dic43C2×D411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664C4×Dic43C2411yescharacteristic
665C4×Dic43C2411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671Dic172—41no—
672Dic172—41no—
673Dic172—41no—
674Dic172—41no—
675Dic172—41no—
676Dic172—41no—
677#10621873—41no—
678#10621873—41no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43C22×D411yescharacteristic
682C22×D43—21no—
683Q8×C43—21no—
684Q8×C43—21no—
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—81no—
688D4×C43—21no—
689D4×C43—21no—
690D4×C43—21no—
691D4×C43—21no—
692D4×C43—42no—
693D4×C43—81no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—42no—
703C2×C4×C43—81no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—42no—
714C22⋊D43—42no—
715C22⋊D43—81no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—41no—
724C2×Dic43—41no—
725C2×Dic43—42no—
726C2×Dic43—42no—
727C2×Dic43—81no—
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736D172—21no—
737D172—21no—
738C4×D43—42no—
739C4×D43—81no—
740C4×D43—81no—
741Dic86—21no—
742Dic86—21no—
743Dic86—21no—
744Dic86—21no—
745Dic86—21no—
746Dic86—21no—
747Dic86—21no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—41no—
752Dic86—41no—
753Dic86—41no—
754Dic86—41no—
755Dic86—42no—
756Dic86—81no—
757Dic86—81no—
758C8×C43—21no—
759C8×C43—21no—
760C8×C43—21no—
761C8×C43—21no—
762C43⋊C8—21no—
763C43⋊C8—21no—
764C43⋊C8—21no—
765C43⋊C8—21no—
766#61941—431nomaximal, Sylow
767C22×C43—21no—
768C22×C43—21no—
769C22×C43—21no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43C23×D411yescharacteristic
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C4×C43—21no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43#58511yescharacteristic
792C4×C43#58511yescharacteristic
793Dic43—21no—
794Dic43—21no—
795Dic43—21no—
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808#3555—431no—
809#3507—431no—
810#3402—431no—
811#3402—431no—
812#3401—431no—
813#3401—431no—
814#3398—431no—
815#3398—431no—
816#3398—431no—
817#3398—431no—
818#3376—431no—
819#3376—431no—
820#3374—431no—
821#3374—431no—
822#3371—431no—
823#3371—431no—
824#3369—431no—
825#3369—431no—
826#3225—431no—
827#3225—431no—
828#3223—431no—
829#3223—431no—
830#3219—431no—
831#3216—431no—
832#3125—431no—
833#3125D4311yescharacteristic, complemented
834#3120—431no—
835#3120—431no—
836#3117—431no—
837#3113—431no—
838#2987—431no—
839C2×C43—41no—
840C2×C43—81no—
841C2×C43—81no—
842C2×C43#348711yescharacteristic
843C2×C43#358611yescharacteristic
844C2×C43#358611yescharacteristic
845D43—81no—
846#563—861no—
847#563—861no—
848#559—431no—
849#559—431no—
850Q82—431no—
851#557—431no—
852#557—431no—
853#557—431no—
854#557—431no—
855#557—431no—
856#556—431no—
857#556—431no—
858#556—431no—
859#556—431no—
860#556—431no—
861#556—431no—
862#556—431no—
863#556—861no—
864#556—861no—
865#554—431no—
866#554—861no—
867#552—861no—
868#552—861no—
869#552—861no—
870#544—861no—
871#542—431no—
872#542C2×D4311yescharacteristic
873#541—431no—
874#541—431no—
875#541—861no—
876#541—861no—
877#541—861no—
878#539—861no—
879#539—861no—
880#536—431no—
881#536—431no—
882#533—431no—
883#533—431no—
884#532—431no—
885#529—431no—
886#529—861no—
887#529—861no—
888#520—431no—
889#520C2×D4311yescharacteristic
890C2×C4×Q8—431no—
891#497—431no—
892#497—431no—
893#497—431no—
894#497—431no—
895#497—431no—
896#497—431no—
897#497—431no—
898#496—431no—
899#495—431no—
900#495—431no—
901#494—431no—
902#494—431no—
903#491—431no—
904#491—431no—
905#491—431no—
906#490—431no—
907#489—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#488—431no—
912#488—431no—
913#487—431no—
914#487—431no—
915#484—431no—
916#483—431no—
917#483C2×D4311yescharacteristic
918#481C2×D4311yescharacteristic
919#479—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#478—431no—
924#478—431no—
925#476—431no—
926#476C2×D4311yescharacteristic
927#475—431no—
928#475—431no—
929#475—431no—
930#475C2×D4311yescharacteristic
931#464—431no—
932#464—431no—
933#464—431no—
934#464—431no—
935#464—431no—
936#464—431no—
937#464—431no—
938#464—431no—
939#464—431no—
940#464—431no—
941#464—431no—
942#464C2×D4311yescharacteristic
943#463—431no—
944#463—431no—
945#463—431no—
946#463—431no—
947#463—431no—
948#463C2×D4311yescharacteristic
949#462—431no—
950#462—431no—
951#462—431no—
952#462—431no—
953#462—431no—
954#462—431no—
955#462—431no—
956#462—431no—
957#462—431no—
958#462—431no—
959#462—431no—
960#462—431no—
961#461—431no—
962#461—431no—
963#461—431no—
964#461—431no—
965#460—431no—
966#460—431no—
967#452—431no—
968#452—431no—
969#452—431no—
970#452—431no—
971#452—431no—
972#452C2×D4311yescharacteristic
973#451—431no—
974#451—431no—
975#451—431no—
976#449—431no—
977#449C2×D4311yescharacteristic
978#448—431no—
979#446—431no—
980#446—431no—
981#446—431no—
982#446—431no—
983#446—431no—
984#446—431no—
985#446—431no—
986#446—431no—
987#442—431no—
988#442C2×D4311yescharacteristic
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#441C2×D4311yescharacteristic
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16C2×D4311yescharacteristic
1010C4×SD16C2×D4311yescharacteristic
1011#433—431no—
1012#433—431no—
1013#433—431no—
1014#433C2×D4311yescharacteristic
1015#432—431no—
1016#432—431no—
1017C43#6194111yescharacteristic, complemented, Sylow
1018C2×#41—431no—
1019C2×#41C22×D4311yescharacteristic
1020C22×Q8—431no—
1021C2×Q16—431no—
1022C2×Q16—431no—
1023C2×Q16—431no—
1024C2×Q16—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16—431no—
1028C2×Q16—431no—
1029C2×Q16—431no—
1030C2×Q16—431no—
1031C2×Q16—431no—
1032C2×Q16C22×D4311yescharacteristic
1033C2×SD16—431no—
1034C2×SD16—431no—
1035C2×SD16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16—431no—
1040C2×SD16—431no—
1041C2×SD16C22×D4311yescharacteristic
1042C2×SD16C22×D4311yescharacteristic
1043C2×D8—431no—
1044C2×D8C22×D4311yescharacteristic
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8—861no—
1060C4⋊Q8—861no—
1061C4⋊Q8—861no—
1062C4⋊Q8C22×D4311yescharacteristic
1063#127—431no—
1064#126—21no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—431no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#124—21no—
1109#124—431no—
1110#124—431no—
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#124C22×D4311yescharacteristic
1121#123—21no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132C22⋊Q8—21no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8C22×D4311yescharacteristic
1156#121—861no—
1157#121—861no—
1158#121C22×D4311yescharacteristic
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8C22×D4311yescharacteristic
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4C22×D4311yescharacteristic
1203C4×D4C22×D4311yescharacteristic
1204C4×D4C22×D4311yescharacteristic
1205#117—21no—
1206#117—431no—
1207#117—861no—
1208#117—861no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117C22×D4311yescharacteristic
1218C2×C4⋊C4—21no—
1219C2×C4⋊C4—861no—
1220C2×C4⋊C4—861no—
1221C2×C4⋊C4—861no—
1222C2×C4⋊C4C22×D4311yescharacteristic
1223C2×C42—431no—
1224C2×C42—861no—
1225#107—431no—
1226#107—431no—
1227#106—431no—
1228#106—431no—
1229#106C22×D4311yescharacteristic
1230#106C22×D4311yescharacteristic
1231#106C22×D4311yescharacteristic
1232#106C22×D4311yescharacteristic
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8—431no—
1239C4⋊C8—431no—
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8C22×D4311yescharacteristic
1244C4⋊C8C22×D4311yescharacteristic
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103—431no—
1260#103—431no—
1261#103—431no—
1262#103—431no—
1263#103C22×D4311yescharacteristic
1264#103C22×D4311yescharacteristic
1265#103C22×D4311yescharacteristic
1266#103C22×D4311yescharacteristic
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102C22×D4311yescharacteristic
1274#102C22×D4311yescharacteristic
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277C22⋊C8—431no—
1278C22⋊C8—431no—
1279C22⋊C8C22×D4311yescharacteristic
1280C22⋊C8C22×D4311yescharacteristic
1281#97—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97—431no—
1286#97—431no—
1287#97—431no—
1288#97C22×D4311yescharacteristic
1289C4×C8—431no—
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8C22×D4311yescharacteristic
1293#41—41no—
1294#41—41no—
1295#41—1721no—
1296#41—1721no—
1297C2×Q8—21no—
1298C2×Q8—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—431no—
1303C2×Q8—431no—
1304C2×Q8—431no—
1305C2×Q8—431no—
1306C2×Q8—431no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—1721no—
1311C2×Q8—1721no—
1312C2×Q8C23×D4311yescharacteristic
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—431no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4C23×D4311yescharacteristic
1321C2×D4C23×D4311yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4C23×D4311yescharacteristic
1336Q16—41no—
1337Q16—1721no—
1338Q16—1721no—
1339Q16—1721no—
1340Q16—1721no—
1341Q16—1721no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347Q16—1721no—
1348SD16—41no—
1349SD16—41no—
1350SD16—1721no—
1351SD16—1721no—
1352SD16—1721no—
1353SD16—1721no—
1354SD16—1721no—
1355SD16—1721no—
1356SD16—1721no—
1357SD16—1721no—
1358D8—41no—
1359D8—1721no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8—431no—
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4D4×D4311yescharacteristic
1431C4⋊C4D4×D4311yescharacteristic
1432C4⋊C4C23×D4311yescharacteristic
1433C4⋊C4C23×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4D4×D4311yescharacteristic
1468C22⋊C4D4×D4311yescharacteristic
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—431no—
1473C42—431no—
1474C42—431no—
1475C42—431no—
1476C42—431no—
1477C42—431no—
1478C42—861no—
1479C42—861no—
1480C42—861no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42C23×D4311yescharacteristic
1493C42C23×D4311yescharacteristic
1494C23—21no—
1495C23—21no—
1496C23—861no—
1497C23C2×D4×D4311yescharacteristic
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—81no—
1503Q8—861no—
1504Q8—861no—
1505Q8—861no—
1506Q8—861no—
1507Q8—861no—
1508Q8—861no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—3441no—
1514Q8—3441no—
1515Q8—1721no—
1516Q8—1721no—
1517Q8—1721no—
1518Q8—1721no—
1519Q8—1722no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—42no—
1525D4—81no—
1526D4—861no—
1527D4—861no—
1528D4—3441no—
1529D4—1722no—
1530D4—1722no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—42no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—431no—
1551C2×C4—431no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—1722no—
1563C2×C4—1721no—
1564C2×C4—1721no—
1565C2×C4—1722no—
1566C2×C4—1722no—
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C24×D4311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—861no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—1721no—
1591C22—1721no—
1592C22—1721no—
1593C22C22×D4×D4311yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—861no—
1606C4—861no—
1607C4—861no—
1608C4—861no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—1721no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4#1458373511yescharacteristic
1621C4#1458373511yescharacteristic
1622C2—41no—
1623C2—81no—
1624C2—81no—
1625C2—3441no—
1626C2#1914824911yescharacteristic
1627C2#1914937711yescharacteristic
1628C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3125C2
socleC22×C43C23×D4
prime radical#19145630C2
hypercenter#3125D43
hypocenterC43#61941
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #19149081C2semidirect
2. #19148453C2semidirect
3. #19147674C2semidirect
4. #19147673C2semidirect
5. #19147666C2semidirect
6. #19147659C2semidirect
7. #19147629C2semidirect
8. #19147627C2semidirect
9. #19147624C2semidirect
10. #19147624C2semidirect
11. #19147423C2semidirect
12. #19147418C2semidirect
13. #19147399C2semidirect
14. #19147397C2semidirect
15. #19147370C2semidirect
16. #19147359C2semidirect
17. #19147338C2semidirect
18. #19147334C2semidirect
19. #19145700C2semidirect
20. #19145698C2semidirect
21. #19145680C2semidirect
22. #19145676C2semidirect
24. #19145603C2semidirect
25. #19144875C2semidirect
26. #19144812C2semidirect
27. #19144809C2semidirect
28. #19144763C2semidirect
29. #19144722C2semidirect
30. #19143699C2semidirect
31. C43×#3125C2semidirect
833. #3125D43semidirect
1017. C43#61941semidirect

Maximal subgroups

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

subgroupindex
#191490812
#191484532
#191476742
#191476732
#191476662
#191476592
#191476292
#191476272
#191476242
#191474232
#191474182
#191473992
#191473972
#191473702
#191473592
#191473382
#191473342
#191457002
#191456982
#191456802
#191456762
#191456302
#191456032
#191448752
#191448122
#191448092
#191447632
#191447222
#191436992
C43×#31252
#6194143