Finite Group Databasebeta

← #25979708

Subgroups — #25979708

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148693C211yesmaximal, characteristic, complemented
2#19148614C211yesmaximal, characteristic, complemented
3#19147642C211yesmaximal, characteristic, complemented
4#19147536C211yesmaximal, characteristic, complemented
5#19147341C211yesmaximal, characteristic, complemented
6#19147319C211yesmaximal, characteristic, complemented
7#19147157C211yesmaximal, characteristic, complemented
8#19147090C211yesmaximal, characteristic, complemented
9#19147090C211yesmaximal, characteristic, complemented
10#19146841C211yesmaximal, characteristic, complemented
11#19146830C211yesmaximal, characteristic, complemented
12#19146785C211yesmaximal, characteristic, complemented
13#19146740C211yesmaximal, characteristic, complemented
14#19146616C211yesmaximal, characteristic, complemented
15#19146601C211yesmaximal, characteristic, complemented
16#19146084C211yesmaximal, characteristic, complemented
17#19146084C211yesmaximal, characteristic, complemented
18#19145279C211yesmaximal, characteristic, complemented
19#19145242C211yesmaximal, characteristic, complemented
20#19145185C211yesmaximal, characteristic, complemented
21#19144884C211yesmaximal, characteristic, complemented
22#19144836C211yesmaximal, characteristic, complemented
23#19144795C211yesmaximal, characteristic, complemented
24#19144772C211yesmaximal, characteristic, complemented
25#19144739C211yesmaximal, characteristic, complemented
26#19144728C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143449C211yesmaximal, characteristic, complemented
29#19143428C211yesmaximal, characteristic, complemented
30AGL(1,ℤ/8)×Dic43C211yesmaximal, characteristic, complemented
31C43×#3274C211yesmaximal, characteristic, complemented
32C2×SD16×D43C2211yescharacteristic
33#14583635—21no—
34#14583635C2211yescharacteristic, complemented
35#14583625C2211yescharacteristic, complemented
36#14583613—21no—
37#14583613C2211yescharacteristic
38#14583613C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic
40#14583601—21no—
41#14583601C2211yescharacteristic
42#14583601C2211yescharacteristic, complemented
43#14583595C2211yescharacteristic
44#14583592—21no—
45#14583589—21no—
46#14583589C2211yescharacteristic, complemented
47#14583569C2211yescharacteristic
48#14583556C2211yescharacteristic, complemented
49#14583556C2211yescharacteristic, complemented
50#14583543—21no—
51#14583536—21no—
52#14583536—21no—
53D4×C22⋊D43C2211yescharacteristic
54D4×C22⋊D43C2211yescharacteristic
55#14583516—21no—
56#14583516C2211yescharacteristic, complemented
57#14583503—21no—
58#14583503C2211yescharacteristic
59#14583503C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic
61#14583486—21no—
62#14583484—21no—
63#14583444C2211yescharacteristic
64#14583430—21no—
65#14583430C2211yescharacteristic, complemented
66#14583429—21no—
67#14583429C2211yescharacteristic
68#14583405—21no—
69C2×#13063297—21no—
70#14583382C2211yescharacteristic, complemented
71#14583375C2211yescharacteristic, complemented
72#14583374C2211yescharacteristic
73#14583371C2211yescharacteristic
74#41×Dic43C2211yescharacteristic, complemented
75C2×D4×Dic43C2211yescharacteristic
76#14583306C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583301C2211yescharacteristic, complemented
79#14583287C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic, complemented
81#14583263C2211yescharacteristic, complemented
82#14583263C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic, complemented
84#14583257C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583230C2211yescharacteristic, complemented
89#14583224C2211yescharacteristic, complemented
90#14583222C2211yescharacteristic, complemented
91#14583222C2211yescharacteristic, complemented
92#14583221C2211yescharacteristic, complemented
93#14583221C2211yescharacteristic, complemented
94#14583220C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic, complemented
96#14583218C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic
103#14583201C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic, complemented
105#14583200C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic
107#14583187C2211yescharacteristic
108#14583182C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583177C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583149C2211yescharacteristic, complemented
114#14583145C2211yescharacteristic, complemented
115#14583145C2211yescharacteristic, complemented
116#14583143C2211yescharacteristic, complemented
117#14583133C2211yescharacteristic, complemented
118#14583132C2211yescharacteristic, complemented
119#14583132C2211yescharacteristic, complemented
120#14583126C2211yescharacteristic, complemented
121#14583112C2211yescharacteristic
122#14583112C2211yescharacteristic
123#14583112C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583097C2211yescharacteristic, complemented
126#14583097C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583092C2211yescharacteristic, complemented
129#14583092C2211yescharacteristic, complemented
130#14583091C2211yescharacteristic, complemented
131#14583050C2211yescharacteristic
132#14583050C2211yescharacteristic
133#14583044C2211yescharacteristic, complemented
134#14583044C2211yescharacteristic, complemented
135#14583036C2211yescharacteristic, complemented
136#14583036C2211yescharacteristic, complemented
137#14583031C2211yescharacteristic
138#14583031C2211yescharacteristic
139#14583029C2211yescharacteristic, complemented
140#14583028C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic
142#14583011C2211yescharacteristic
143#14583011C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583011C2211yescharacteristic, complemented
146#14583011C2211yescharacteristic, complemented
147#14583008C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic
150#14583000C2211yescharacteristic
151#14583000C2211yescharacteristic, complemented
152#14583000C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic
154#14582997C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic
156#14582996C2211yescharacteristic, complemented
157#14582990C2211yescharacteristic, complemented
158C4×#10621873C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic
164D8×Dic43C2211yescharacteristic
165D8×Dic43C2211yescharacteristic, complemented
166D8×Dic43C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic, complemented
169#14582971C2211yescharacteristic, complemented
170#14582968C2211yescharacteristic, complemented
171#14582968C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582904C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582900C2211yescharacteristic, complemented
183#14582895C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
190C43×#550C2211yescharacteristic, complemented
191D42×C43C2211yescharacteristic
192C43×#493C2211yescharacteristic, complemented
193C43×#469C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#460C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic
197C43×#449C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic, complemented
199C43×#447C2211yescharacteristic
200C43×#447C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C43×#436C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900—21no—
205C2×Q8×D43C2311yescharacteristic
206C22×C22⋊D43—21no—
207C22×C22⋊D43—21no—
208C2×D4×D43C2311yescharacteristic
209C23×Dic43—21no—
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215SD16×D43—24no—
216C2×#10621882C2311yescharacteristic
217C2×#10621882C2311yescharacteristic
218C2×#10621877C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C22×C43⋊C8C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222#13063324—21no—
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063321C2311yescharacteristic
226#13063321C2311yescharacteristic
227#13063320—21no—
228#13063320D411yescharacteristic
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318D411yescharacteristic
235#13063317—21no—
236#13063317C2311yescharacteristic
237#13063317C2311yescharacteristic
238#13063316—21no—
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063315—21no—
242#13063315D411yescharacteristic
243#13063312—21no—
244#13063312—21no—
245#13063312—21no—
246#13063312—21no—
247#13063312—21no—
248#13063312—21no—
249#13063312C2311yescharacteristic
250#13063312C2311yescharacteristic
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311D411yescharacteristic
255#13063309—21no—
256#13063309—21no—
257#13063309—21no—
258#13063309D411yescharacteristic
259#13063307—21no—
260#13063307—21no—
261#13063306—21no—
262#13063306—21no—
263#13063306—21no—
264#13063306—21no—
265#13063306—21no—
266#13063306—21no—
267#13063306—21no—
268#13063306—21no—
269#13063306—21no—
270#13063306D411yescharacteristic
271#13063304—21no—
272#13063304—21no—
273#13063304—21no—
274#13063304C2311yescharacteristic
275#13063304C2311yescharacteristic
276#13063302—21no—
277#13063302—21no—
278#13063302—21no—
279#13063302D411yescharacteristic
280#13063299C2311yescharacteristic
281#13063299C2311yescharacteristic
282#13063297—21no—
283#13063297—21no—
284#13063297—21no—
285#13063297—21no—
286#13063297—21no—
287#13063297—21no—
288#13063297—21no—
289#13063297—21no—
290#13063297—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297D411yescharacteristic
298#13063296—21no—
299#13063296—21no—
300#13063296—21no—
301#13063296—21no—
302#13063296C2311yescharacteristic
303#13063296C2311yescharacteristic
304#13063296C2311yescharacteristic
305#13063296C2311yescharacteristic
306#13063294—21no—
307#13063294—21no—
308#13063293—21no—
309#13063293—21no—
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317#13063290—21no—
318#13063290C2311yescharacteristic
319C4×D172C2311yescharacteristic
320D4×Dic43—21no—
321D4×Dic43—21no—
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43C2311yescharacteristic
348C4×C22⋊D43C2311yescharacteristic
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352#13063284—21no—
353#13063284—21no—
354#13063284C2311yescharacteristic
355#13063284C2311yescharacteristic
356#13063284C2311yescharacteristic
357#13063283—21no—
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282C2311yescharacteristic
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366C2×C4⋊Dic43—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×C4⋊Dic43C2311yescharacteristic
369C2×Dic43⋊C4—21no—
370C2×C22⋊Dic43—21no—
371C2×C22⋊Dic43—21no—
372C2×C22⋊Dic43—21no—
373C2×(C2×D43)⋊C4—21no—
374C22⋊C4×D43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063246C2311yescharacteristic
408#13063246C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×D4×C43—21no—
439C22×D4×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441AGL(1,ℤ/8)×C43—24no—
442AGL(1,ℤ/8)×C43—24no—
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×D8×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453C2×M16×C43C2311yescharacteristic
454#127×C43—21no—
455#127×C43C2311yescharacteristic
456#127×C43C2311yescharacteristic
457#121×C43—21no—
458#121×C43—21no—
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#120×C43—21no—
465#120×C43—21no—
466C4×Q8×C43C2311yescharacteristic
467C4×D4×C43—21no—
468C4×D4×C43C2311yescharacteristic
469C4×D4×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C23×D43—21no—
484#41×C43—22no—
485#41×C43—22no—
486#41×C43—41no—
487#41×C43—41no—
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—22no—
502C2×D4×C43—22no—
503C2×D4×C43—41no—
504C2×D4×C43—41no—
505C2×D4×C43—82no—
506C2×D4×C43C2×D411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C2×D4×C43C2411yescharacteristic
511C2×D4×C43C2411yescharacteristic
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—82no—
529C2×C22⋊D43—82no—
530C2×C22⋊D43C2×D411yescharacteristic
531C2×C22⋊D43C2×D411yescharacteristic
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—21no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43—21no—
545C22×Dic43—82no—
546C22×Dic43C2×D411yescharacteristic
547C22×Dic43C2×D411yescharacteristic
548Q8×D43—22no—
549Q8×D43—41no—
550#10621900—82no—
551#10621900—82no—
552D4×D43—22no—
553D4×D43—41no—
554C2×D172C2411yescharacteristic
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43C2411yescharacteristic
559C2×Dic86—21no—
560C2×Dic86—21no—
561C2×Dic86—21no—
562C2×Dic86C2×D411yescharacteristic
563C2×Dic86C2411yescharacteristic
564SD16×C43—22no—
565SD16×C43—22no—
566SD16×C43#4114yescomplemented
567D8×C43—22no—
568D8×C43—22no—
569D8×C43—22no—
570D8×C43—22no—
571D8×C43—41no—
572D8×C43—41no—
573M16×C43—22no—
574M16×C43—22no—
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C4⋊C4×C43—21no—
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43C2×D411yescharacteristic
589C22⋊C4×C43C2×D411yescharacteristic
590C42×C43—21no—
591C42×C43C2411yescharacteristic
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43C2×D411yescharacteristic
616C22⋊Dic43C2×D411yescharacteristic
617C22⋊Dic43C2×D411yescharacteristic
618C22⋊Dic43C2×D411yescharacteristic
619#10621884—22no—
620#10621883—22no—
621#10621883—41no—
622#10621883—41no—
623#10621882—41no—
624#10621882—41no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2×D411yescharacteristic
644C4⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683#10621877—41no—
684C2×C43⋊C8—41no—
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689#10621873—22no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—42no—
698C23×C43—42no—
699C23×C43—42no—
700C23×C43—81no—
701C23×C43—81no—
702C23×C43—81no—
703C23×C43C22×D411yescharacteristic
704C23×C43C22×D411yescharacteristic
705C22×D43—21no—
706C22×D43—42no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43C22×D411yescharacteristic
710Q8×C43—21no—
711Q8×C43C2×#4112yes—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—41no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43—42no—
725D4×C43—42no—
726D4×C43—42no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43—81no—
731D4×C43—81no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43C2×#4112yes—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—42no—
743C2×C4×C43—42no—
744C2×C4×C43—81no—
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C2511yescharacteristic
750C22⋊D43—41no—
751C22⋊D43—41no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—41no—
771C2×Dic43—41no—
772C2×Dic43—42no—
773C2×Dic43—42no—
774C2×Dic43—81no—
775C2×Dic43—81no—
776C2×Dic43—81no—
777C2×Dic43—81no—
778C2×Dic43—81no—
779C2×Dic43—81no—
780C2×Dic43—81no—
781C2×Dic43—81no—
782C2×Dic43—81no—
783C2×Dic43—81no—
784C2×Dic43—81no—
785C2×Dic43C22×D411yescharacteristic
786C2×Dic43C22×D411yescharacteristic
787C2×Dic43C22×D411yescharacteristic
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790C2×Dic43C22×D411yescharacteristic
791C2×Dic43C22×D411yescharacteristic
792D172—21no—
793D172—21no—
794C4×D43—21no—
795C4×D43—21no—
796C4×D43—42no—
797C4×D43—81no—
798C4×D43—81no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—42no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61504—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—22no—
819C22×C43—21no—
820C22×C43—21no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—84no—
836C22×C43—162no—
837C22×C43C23×D411yescharacteristic
838C2×D43—21no—
839C2×D43—21no—
840C2×D43—21no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—22no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43C22×#4111yescharacteristic
853C4×C43#58511yescharacteristic
854Dic43—21no—
855Dic43—21no—
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—41no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399—431no—
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321—431no—
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274D4311yescharacteristic, complemented
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176—431no—
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—42no—
900C2×C43—41no—
901C2×C43—41no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43—81no—
905C2×C43—81no—
906C2×C43D4×#4111yescharacteristic
907C2×C43#358511yescharacteristic
908C2×C43#358511yescharacteristic
909D43—41no—
910D43—81no—
911C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
912C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
913C22×SD16—431no—
914#559—431no—
915#559—861no—
916#557—431no—
917#555—431no—
918#555—431no—
919#555—861no—
920#554—431no—
921#553—431no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553—861no—
926#552—431no—
927#552—861no—
928#550—431no—
929#550C2×D4311yescharacteristic, complemented
930#548—431no—
931#548—431no—
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42C2×D4311yescharacteristic
938#542—431no—
939#542—861no—
940#540—431no—
941#540—431no—
942#540—431no—
943#540—861no—
944#538—861no—
945#538—861no—
946#532—431no—
947#529—431no—
948#529—431no—
949#529—861no—
950#529—861no—
951#525—861no—
952C2×#121—861no—
953#520—431no—
954#519—431no—
955#518—431no—
956#518—431no—
957C4×#41—431no—
958C2×C4×D4—431no—
959#501—431no—
960#501—431no—
961#499—431no—
962#496—431no—
963#496—431no—
964#493C2×D4311yescharacteristic, complemented
965#490—431no—
966#490—431no—
967#490—431no—
968#489—431no—
969#488—431no—
970#486—431no—
971#485—431no—
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#476—431no—
992#475—431no—
993#474—431no—
994#474—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469C2×D4311yescharacteristic, complemented
999#469C2×D4311yescharacteristic, complemented
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466—431no—
1005#466—431no—
1006#465—431no—
1007#463—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460C2×D4311yescharacteristic, complemented
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459C2×D4311yescharacteristic
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449C2×D4311yescharacteristic, complemented
1024#449C2×D4311yescharacteristic, complemented
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447C2×D4311yescharacteristic
1030#447C2×D4311yescharacteristic
1031#446—431no—
1032#446—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16C2×D4311yescharacteristic
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061#436—431no—
1062#436C2×D4311yescharacteristic, complemented
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#433—431no—
1068#433—431no—
1069#432—431no—
1070#428—431no—
1071#428—431no—
1072#427—431no—
1073#419—431no—
1074#418—431no—
1075#418—431no—
1076#417—431no—
1077#416—431no—
1078C2×#102—431no—
1079#405—431no—
1080#405—431no—
1081C4×M16—431no—
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—861no—
1084C2×#41—861no—
1085C2×#41C22×D4311yescharacteristic
1086C2×#41C22×D4311yescharacteristic
1087C22×Q8—431no—
1088C22×D4—21no—
1089C22×D4—431no—
1090C22×D4—861no—
1091C22×D4—861no—
1092C22×D4C22×D4311yescharacteristic
1093C22×D4C22×D4311yescharacteristic
1094C23×C4—861no—
1095AGL(1,ℤ/8)—24no—
1096AGL(1,ℤ/8)—24no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—864no—
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8C22×D4311yescharacteristic
1109C2×D8C22×D4311yescharacteristic
1110C2×D8C22×D4311yescharacteristic
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×D8C22×D4311yescharacteristic
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16C22×D4311yescharacteristic
1117C2×M16C22×D4311yescharacteristic
1118C22×C8—431no—
1119C22×C8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—861no—
1123#127—21no—
1124#127—431no—
1125#127—431no—
1126#127C22×D4311yescharacteristic
1127#127C22×D4311yescharacteristic
1128#126—431no—
1129#126—431no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#125—431no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#123—431no—
1157#123—431no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—861no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121C22×D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#120—21no—
1215#120—21no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—21no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—431no—
1271#117—431no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280C2×C4⋊C4—431no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—431no—
1290C2×C42—861no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8C22×D4311yescharacteristic
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103C22×D4311yescharacteristic
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8C22×D4311yescharacteristic
1350C22⋊C8C22×D4311yescharacteristic
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8C22×D4311yescharacteristic
1361C24—21no—
1362C24—21no—
1363C24—861no—
1364#41—22no—
1365#41—22no—
1366#41—41no—
1367#41—41no—
1368#41—3442no—
1369#41—3442no—
1370C2×Q8—431no—
1371C2×Q8—431no—
1372C2×Q8—861no—
1373C2×Q8—861no—
1374C2×Q8—861no—
1375C2×Q8—862no—
1376C2×Q8—1721no—
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—82no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—862no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—3442no—
1411C2×D4—3442no—
1412C2×D4—1721no—
1413C2×D4D4×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C2×D4C23×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—3442no—
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444SD16—22no—
1445SD16—22no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—1721no—
1450SD16—1721no—
1451SD16#1062190014yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—22no—
1456D8—41no—
1457D8—41no—
1458D8—1721no—
1459D8—1721no—
1460M16—22no—
1461M16—22no—
1462M16—1721no—
1463M16—1721no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—862no—
1469C2×C8—1721no—
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—431no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—431no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4D4×D4311yescharacteristic
1555C22⋊C4D4×D4311yescharacteristic
1556C42—21no—
1557C42—431no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—431no—
1584C23—861no—
1585C23—3441no—
1586C23—3441no—
1587C23—1722no—
1588C23C2×D4×D4311yescharacteristic
1589C23C2×D4×D4311yescharacteristic
1590Q8—21no—
1591Q8—861no—
1592Q8—861no—
1593Q8—3441no—
1594Q8—3441no—
1595Q8—1721no—
1596Q8—1722no—
1597Q8C2×#1062190012yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—41no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—861no—
1621D4—861no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—3441no—
1628D4—3441no—
1629D4—3441no—
1630D4—1721no—
1631D4—1721no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4C2×#1062190012yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—1722no—
1676C2×C4—1721no—
1677C2×C4—1721no—
1678C2×C4—1722no—
1679C2×C4—1722no—
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8C2×#1062190012yes—
1693C22—21no—
1694C22—21no—
1695C22—22no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—84no—
1715C22—162no—
1716C22—861no—
1717C22—861no—
1718C22—861no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22C22×D4×D4311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—22no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—861no—
1732C4—861no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C22×#1062190011yescharacteristic
1746C4#1458373411yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—42no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—81no—
1754C2—3441no—
1755C2—1721no—
1756C2D4×#1062190011yescharacteristic
1757C2#1914937011yescharacteristic
1758C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3274C2
socleC22×C43C23×D4
hypercenter#3274D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3274

Complements

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

NH ≅ G/Ntype
1. #19148693C2semidirect
2. #19148614C2semidirect
3. #19147642C2semidirect
4. #19147536C2semidirect
5. #19147341C2semidirect
6. #19147319C2semidirect
7. #19147157C2semidirect
8. #19147090C2semidirect
9. #19147090C2semidirect
10. #19146841C2semidirect
11. #19146830C2semidirect
12. #19146785C2semidirect
13. #19146740C2semidirect
14. #19146616C2semidirect
15. #19146601C2semidirect
16. #19146084C2semidirect
17. #19146084C2semidirect
18. #19145279C2semidirect
19. #19145242C2semidirect
20. #19145185C2semidirect
21. #19144884C2semidirect
22. #19144836C2semidirect
23. #19144795C2semidirect
24. #19144772C2semidirect
25. #19144739C2semidirect
26. #19144728C2semidirect
27. #19143581C2semidirect
28. #19143449C2semidirect
29. #19143428C2semidirect
30. AGL(1,ℤ/8)×Dic43C2semidirect
31. C43×#3274C2semidirect
34. #14583635C22semidirect
35. #14583625C22semidirect
38. #14583613C22semidirect
42. #14583601C22semidirect
46. #14583589C22semidirect
48. #14583556C22semidirect
49. #14583556C22semidirect
56. #14583516C22semidirect
59. #14583503C22semidirect
65. #14583430C22semidirect
70. #14583382C22semidirect
71. #14583375C22semidirect
74. #41×Dic43C22semidirect
76. #14583306C22semidirect
77. #14583306C22semidirect
78. #14583301C22semidirect
79. #14583287C22semidirect
80. #14583287C22semidirect
81. #14583263C22semidirect
82. #14583263C22semidirect
83. #14583262C22semidirect
84. #14583257C22semidirect
85. #14583252C22semidirect
86. #14583244C22semidirect
87. #14583241C22semidirect
88. #14583230C22semidirect
89. #14583224C22semidirect
90. #14583222C22semidirect
91. #14583222C22semidirect
92. #14583221C22semidirect
93. #14583221C22semidirect
94. #14583220C22semidirect
95. #14583220C22semidirect
96. #14583218C22semidirect
97. #14583210C22semidirect
98. #14583210C22semidirect
99. #14583207C22semidirect
100. #14583206C22semidirect
101. #14583204C22semidirect
103. #14583201C22semidirect
104. #14583201C22semidirect
105. #14583200C22semidirect
108. #14583182C22semidirect
109. #14583177C22semidirect
110. #14583177C22semidirect
111. #14583150C22semidirect
112. #14583149C22semidirect
113. #14583149C22semidirect
114. #14583145C22semidirect
115. #14583145C22semidirect
116. #14583143C22semidirect
117. #14583133C22semidirect
118. #14583132C22semidirect
119. #14583132C22semidirect
120. #14583126C22semidirect
123. #14583112C22semidirect
124. #14583112C22semidirect
125. #14583097C22semidirect
126. #14583097C22semidirect
127. #14583096C22semidirect
128. #14583092C22semidirect
129. #14583092C22semidirect
130. #14583091C22semidirect
133. #14583044C22semidirect
134. #14583044C22semidirect
135. #14583036C22semidirect
136. #14583036C22semidirect
139. #14583029C22semidirect
140. #14583028C22semidirect
143. #14583011C22semidirect
144. #14583011C22semidirect
145. #14583011C22semidirect
146. #14583011C22semidirect
147. #14583008C22semidirect
148. #14583002C22semidirect
151. #14583000C22semidirect
152. #14583000C22semidirect
154. #14582997C22semidirect
156. #14582996C22semidirect
157. #14582990C22semidirect
158. C4×#10621873C22semidirect
160. SD16×Dic43C22semidirect
161. SD16×Dic43C22semidirect
162. #14582986C22semidirect
165. D8×Dic43C22semidirect
166. D8×Dic43C22semidirect
167. #14582979C22semidirect
168. #14582974C22semidirect
169. #14582971C22semidirect
170. #14582968C22semidirect
171. #14582968C22semidirect
172. #14582967C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
177. #14582941C22semidirect
178. #14582934C22semidirect
179. #14582906C22semidirect
182. #14582900C22semidirect
183. #14582895C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
190. C43×#550C22semidirect
192. C43×#493C22semidirect
193. C43×#469C22semidirect
194. C43×#469C22semidirect
195. C43×#460C22semidirect
197. C43×#449C22semidirect
198. C43×#449C22semidirect
202. C43×#436C22semidirect
566. SD16×C43#41semidirect
883. #3274D43semidirect
929. #550C2×D43semidirect
964. #493C2×D43semidirect
998. #469C2×D43semidirect
999. #469C2×D43semidirect
1014. #460C2×D43semidirect
1023. #449C2×D43semidirect
1024. #449C2×D43semidirect
1062. #436C2×D43semidirect
1082. C43#61504semidirect
1451. SD16#10621900semidirect

Maximal subgroups

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

subgroupindex
#191486932
#191486142
#191476422
#191475362
#191473412
#191473192
#191471572
#191470902
#191468412
#191468302
#191467852
#191467402
#191466162
#191466012
#191460842
#191452792
#191452422
#191451852
#191448842
#191448362
#191447952
#191447722
#191447392
#191447282
#191435812
#191434492
#191434282
AGL(1,ℤ/8)×Dic432
C43×#32742
#6150443