Finite Group Databasebeta

← #25969020

Subgroups — #25969020

Order 11008.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148328C211yesmaximal, characteristic
2#544×D43C211yesmaximal, characteristic, complemented
3#19145899C211yesmaximal, characteristic, complemented
4#19145897C211yesmaximal, characteristic, complemented
5#19145887C211yesmaximal, characteristic, complemented
6#19145854C211yesmaximal, characteristic, complemented
7#19145852C211yesmaximal, characteristic, complemented
8#19145850C211yesmaximal, characteristic, complemented
9#19145848C211yesmaximal, characteristic, complemented
10#19145829C211yesmaximal, characteristic, complemented
11#19145821C211yesmaximal, characteristic, complemented
12#19145786C211yesmaximal, characteristic, complemented
13#19145783C211yesmaximal, characteristic, complemented
14#19145767C211yesmaximal, characteristic, complemented
15#19145758C211yesmaximal, characteristic, complemented
16#19145724C211yesmaximal, characteristic, complemented
17#19145722C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19145120C211yesmaximal, characteristic, complemented
20#19144948C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144534C211yesmaximal, characteristic, complemented
23#19144519C211yesmaximal, characteristic, complemented
24#19144513C211yesmaximal, characteristic, complemented
25#481×D43C211yesmaximal, characteristic, complemented
26#19144460C211yesmaximal, characteristic, complemented
27#19144454C211yesmaximal, characteristic, complemented
28#19144423C211yesmaximal, characteristic, complemented
29#19144421C211yesmaximal, characteristic, complemented
30#19143251C211yesmaximal, characteristic, complemented
31C43×#3244C211yesmaximal, characteristic, complemented
32#14583611—21no—
33#14583600—21no—
34#14583594—21no—
35#14583576—21no—
36#14583574—21no—
37#14583551—21no—
38#14583542—21no—
39#14583541—21no—
40#14583530C2211yescharacteristic, complemented
41#14583529—21no—
42#14583529C2211yescharacteristic
43#14583529C2211yescharacteristic
44#14583528—21no—
45#14583528—21no—
46#14583527C2211yescharacteristic, complemented
47#14583527C2211yescharacteristic, complemented
48#14583526—21no—
49#14583526C2211yescharacteristic
50#14583526C2211yescharacteristic
51#14583526C2211yescharacteristic
52#14583522C2211yescharacteristic
53#14583504C2211yescharacteristic
54#14583502C2211yescharacteristic
55#14583467C2211yescharacteristic
56#14583450C2211yescharacteristic
57#14583446C2211yescharacteristic
58C4⋊Q8×D43—21no—
59C4⋊Q8×D43C2211yescharacteristic, complemented
60C4⋊Q8×D43C2211yescharacteristic, complemented
61#14583436C2211yescharacteristic
62#14583428C2211yescharacteristic
63#125×D43—21no—
64#125×D43C2211yescharacteristic, complemented
65#125×D43C2211yescharacteristic, complemented
66#14583412C2211yescharacteristic
67C22⋊Q8×D43—21no—
68C22⋊Q8×D43—21no—
69#121×D43C2211yescharacteristic
70#14583381C2211yescharacteristic
71#14583371C2211yescharacteristic
72#117×D43C2211yescharacteristic
73#117×D43C2211yescharacteristic
74C2×C4⋊C4×D43C2211yescharacteristic
75#14583308C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583300C2211yescharacteristic, complemented
84#14583299C2211yescharacteristic, complemented
85#14583298C2211yescharacteristic, complemented
86#14583296C2211yescharacteristic, complemented
87#14583296C2211yescharacteristic, complemented
88#14583295C2211yescharacteristic, complemented
89#14583265C2211yescharacteristic, complemented
90#14583264C2211yescharacteristic, complemented
91#14583262C2211yescharacteristic, complemented
92#14583262C2211yescharacteristic, complemented
93#14583260C2211yescharacteristic, complemented
94#14583260C2211yescharacteristic, complemented
95#14583258C2211yescharacteristic, complemented
96#14583255C2211yescharacteristic, complemented
97#14583255C2211yescharacteristic, complemented
98#14583253C2211yescharacteristic, complemented
99#14583247C2211yescharacteristic, complemented
100#14583246C2211yescharacteristic, complemented
101#14583244C2211yescharacteristic, complemented
102#14583244C2211yescharacteristic, complemented
103#14583237C2211yescharacteristic, complemented
104#14583233C2211yescharacteristic, complemented
105#14583233C2211yescharacteristic, complemented
106#14583233C2211yescharacteristic, complemented
107#14583228C2211yescharacteristic, complemented
108#14583227C2211yescharacteristic, complemented
109#14583224C2211yescharacteristic
110#14583224C2211yescharacteristic, complemented
111#14583223C2211yescharacteristic
112#14583223C2211yescharacteristic, complemented
113#14583220C2211yescharacteristic
114#14583219C2211yescharacteristic
115#14583219C2211yescharacteristic
116#14583219C2211yescharacteristic
117#14583219C2211yescharacteristic, complemented
118#14583219C2211yescharacteristic, complemented
119#14583219C2211yescharacteristic, complemented
120#14583218C2211yescharacteristic
121#14583217C2211yescharacteristic
122#14583216C2211yescharacteristic
123#14583216C2211yescharacteristic
124#14583216C2211yescharacteristic
125#14583215C2211yescharacteristic
126#14583214C2211yescharacteristic
127#14583214C2211yescharacteristic, complemented
128#14583213C2211yescharacteristic, complemented
129#14583212C2211yescharacteristic, complemented
130#14583211C2211yescharacteristic
131#14583208C2211yescharacteristic, complemented
132#14583206C2211yescharacteristic, complemented
133#14583204C2211yescharacteristic, complemented
134#14583202C2211yescharacteristic, complemented
135#14583202C2211yescharacteristic, complemented
136#14583201C2211yescharacteristic, complemented
137#14583200C2211yescharacteristic, complemented
138#14583200C2211yescharacteristic, complemented
139#14583199C2211yescharacteristic, complemented
140#14583198C2211yescharacteristic, complemented
141#14583198C2211yescharacteristic, complemented
142#14583197C2211yescharacteristic, complemented
143#14583196C2211yescharacteristic, complemented
144#14583196C2211yescharacteristic, complemented
145#14583190C2211yescharacteristic, complemented
146#14583189C2211yescharacteristic, complemented
147#14583188C2211yescharacteristic, complemented
148#14583188C2211yescharacteristic, complemented
149#14583188C2211yescharacteristic, complemented
150#14583188C2211yescharacteristic, complemented
151#14583186C2211yescharacteristic, complemented
152#14583184C2211yescharacteristic, complemented
153#14583182C2211yescharacteristic, complemented
154#14583182C2211yescharacteristic, complemented
155#14583180C2211yescharacteristic, complemented
156#14583177C2211yescharacteristic, complemented
157#14583177C2211yescharacteristic, complemented
158#14583176C2211yescharacteristic, complemented
159#14582960C2211yescharacteristic, complemented
160#14582957C2211yescharacteristic, complemented
161#14582957C2211yescharacteristic, complemented
162#14582955C2211yescharacteristic, complemented
163#14582954C2211yescharacteristic, complemented
164#14582951C2211yescharacteristic, complemented
165#14582950C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582934C2211yescharacteristic
172#106×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582902C2211yescharacteristic
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582856C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#544C2211yescharacteristic, complemented
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#498C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#485C2211yescharacteristic, complemented
195C43×#483C2211yescharacteristic, complemented
196C43×#482C2211yescharacteristic
197C43×#481C2211yescharacteristic
198C43×#479C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic, complemented
200C43×#476C2211yescharacteristic, complemented
201C43×#475C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×Q8×D43—21no—
207C2×Q8×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211C22×C4×D43C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×C8×D43C2311yescharacteristic
215C2×C8×D43C2311yescharacteristic
216#13063325—21no—
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063323—21no—
232#13063323—21no—
233#13063323—21no—
234#13063323—21no—
235#13063322C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063318—21no—
240#13063317—21no—
241#13063317C2311yescharacteristic
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063316—21no—
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063314—21no—
261#13063314C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063309—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305—21no—
275#13063304—21no—
276#13063304—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063301—21no—
287#13063301—21no—
288#13063301—21no—
289#13063301C2311yescharacteristic
290#13063300—21no—
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063297—21no—
302#13063297—21no—
303#13063296—21no—
304#13063296C2311yescharacteristic
305#13063295—21no—
306#13063295—21no—
307#13063295—21no—
308Q8×Dic43C2311yescharacteristic
309C4×D172—21no—
310C4×D172—21no—
311C4×D172C2311yescharacteristic
312C4×D172C2311yescharacteristic
313D4×Dic43C2311yescharacteristic
314#13063287—21no—
315#13063287—21no—
316#13063287—21no—
317#13063287C2311yescharacteristic
318#13063287C2311yescharacteristic
319C4×C22⋊D43—21no—
320C4×C22⋊D43—21no—
321(C22⋊D43)⋊C4—21no—
322(C22⋊D43)⋊C4—21no—
323(C22⋊D43)⋊C4—21no—
324#13063284C2311yescharacteristic
325#13063284C2311yescharacteristic
326#13063283D411yescharacteristic
327#13063283D411yescharacteristic
328#13063283C2311yescharacteristic
329#13063283C2311yescharacteristic
330#13063283C2311yescharacteristic
331#13063282—21no—
332#13063282—21no—
333#13063282—21no—
334#13063282C2311yescharacteristic
335#13063282C2311yescharacteristic
336#13063281—21no—
337#13063281—21no—
338#13063281D411yescharacteristic
339#13063281D411yescharacteristic
340C2×C4⋊Dic43C2311yescharacteristic
341C2×Dic43⋊C4—21no—
342C4⋊C4×D43—21no—
343C4⋊C4×D43—21no—
344C4⋊C4×D43—21no—
345C4⋊C4×D43—21no—
346C4⋊C4×D43—21no—
347C4⋊C4×D43—21no—
348C4⋊C4×D43—21no—
349C4⋊C4×D43—21no—
350C4⋊C4×D43—21no—
351C4⋊C4×D43D411yescharacteristic
352C4⋊C4×D43D411yescharacteristic
353C4⋊C4×D43C2311yescharacteristic
354C4⋊C4×D43C2311yescharacteristic
355C4⋊C4×D43C2311yescharacteristic
356C4⋊C4×D43C2311yescharacteristic
357C4⋊C4×D43C2311yescharacteristic
358C4⋊C4×D43C2311yescharacteristic
359C4⋊C4×D43C2311yescharacteristic
360C2×(C2×D43)⋊C4—21no—
361C22⋊C4×D43—21no—
362C22⋊C4×D43—21no—
363C22⋊C4×D43—21no—
364C22⋊C4×D43D411yescharacteristic
365C22⋊C4×D43D411yescharacteristic
366C42×D43—21no—
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#124×C43—21no—
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#106×C43C2311yescharacteristic
459#106×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
478C23×D43—21no—
479C23×D43C2×D411yescharacteristic
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43C2411yescharacteristic
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43C2×D411yescharacteristic
498#10621902—22no—
499#10621902—22no—
500#10621902—82no—
501Q8×D43—82no—
502Q8×D43—82no—
503D4×D43—22no—
504D4×D43—22no—
505D4×D43—82no—
506#10621898—82no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172C2411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
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—82no—
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2×D411yescharacteristic
531C2×C4×D43C2×D411yescharacteristic
532C2×C4×D43C2×D411yescharacteristic
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
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×C43—21no—
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43C2×D411yescharacteristic
573C22⋊C4×C43C2×D411yescharacteristic
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C42×C43C2411yescharacteristic
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
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—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4C2×D411yescharacteristic
598(C2×D43)⋊C4C2×D411yescharacteristic
599(C2×D43)⋊C4C2×D411yescharacteristic
600(C2×D43)⋊C4C2×D411yescharacteristic
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43C2×D411yescharacteristic
611C4⋊Dic43C2×D411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
614C4⋊Dic43C2411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2×D411yescharacteristic
654C4×Dic43C2×D411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661#10621872—22no—
662#10621872—22no—
663C8×D43—22no—
664C8×D43—22no—
665C23×C43—21no—
666C23×C43C22×D411yescharacteristic
667C22×D43—22no—
668C22×D43—22no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—41no—
672C22×D43—42no—
673C22×D43—81no—
674C22×D43—81no—
675C22×D43C22×D411yescharacteristic
676C22×D43C22×D411yescharacteristic
677Q8×C43—21no—
678Q8×C43—21no—
679Q8×C43—81no—
680Q8×C43—81no—
681Q8×C43—81no—
682D4×C43—21no—
683D4×C43—21no—
684D4×C43—81no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—81no—
695C2×C4×C43—81no—
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C2511yescharacteristic
702C22⋊D43—42no—
703C22⋊D43—42no—
704C22⋊D43—81no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C2×Dic43—22no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—81no—
716C2×Dic43—81no—
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723D172—21no—
724D172—21no—
725D172—21no—
726D172—21no—
727D172—42no—
728D172—42no—
729D172—42no—
730D172—81no—
731D172—81no—
732C4×D43—22no—
733C4×D43—22no—
734C4×D43—22no—
735C4×D43—21no—
736C4×D43—21no—
737C4×D43—22no—
738C4×D43—41no—
739C4×D43—41no—
740C4×D43—42no—
741C4×D43—42no—
742C4×D43—42no—
743C4×D43—42no—
744C4×D43—42no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748C4×D43—81no—
749C4×D43—81no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D432−1+412yes—
753C4×D432−1+412yes—
754Dic86—81no—
755Dic86—81no—
756Dic86—81no—
757Dic86—81no—
758Dic86—81no—
759Dic86—81no—
760Dic86—81no—
761C8×C43—21no—
762C8×C43—21no—
763C8×C43—21no—
764C8×C43—21no—
765C43⋊C8—21no—
766C43⋊C8—21no—
767C43⋊C8—21no—
768C43⋊C8—21no—
769#60873—431nomaximal, Sylow
770C22×C43—21no—
771C22×C43—21no—
772C22×C43—21no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43C23×D411yescharacteristic
777C2×D43—21no—
778C2×D43—21no—
779C2×D43—21no—
780C2×D43—21no—
781C2×D43—44no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—162no—
789C2×D43#53612yes—
790C2×D43#57712yes—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—21no—
795C4×C43—21no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43C2×2−1+411yescharacteristic
804C4×C43C2×2−1+411yescharacteristic
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—21no—
809Dic43—21no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43#53612yes—
817#3494—431no—
818C2×#544—431no—
819#3244—431no—
820#3244—431no—
821#3244—431no—
822#3244D4311yescharacteristic, complemented
823#3241—431no—
824#3241—431no—
825#3241—431no—
826#3241—431no—
827#3239—431no—
828#3239—431no—
829#3234—431no—
830#3234—431no—
831#3232—431no—
832#3232—431no—
833#3227—431no—
834#3227—431no—
835#3163—431no—
836#3163—431no—
837#3136—431no—
838#3136—431no—
839#3094—431no—
840#3092—431no—
841#3091—431no—
842C2×#481—431no—
843#3084—431no—
844#3084—431no—
845#3081—431no—
846#3081—431no—
847#2924—431no—
848C2×C43—41no—
849C2×C43—81no—
850C2×C43C2×#53611yescharacteristic
851C2×C43C2×#57711yescharacteristic
852C2×C43#358511yescharacteristic
853D43—22no—
854D43—22no—
855D43—81no—
856D43—81no—
857#555—861no—
858#553—861no—
859#553—861no—
860#551—861no—
861#551—861no—
862#547—861no—
863#546—861no—
864#546—861no—
865#544—431no—
866#544—431no—
867#544—431no—
868#544—431no—
869#544—431no—
870#544—431no—
871#544—431no—
872#544—431no—
873#544—861no—
874#544—861no—
875#544—861no—
876#544—861no—
877#544C2×D4311yescharacteristic, complemented
878#542—431no—
879#542C2×D4311yescharacteristic
880#540—431no—
881#540—431no—
882#535—431no—
883#532—431no—
884#532—431no—
885C2×C4⋊Q8—431no—
886C2×C4⋊Q8—431no—
887C2×C4⋊Q8—861no—
888#529—431no—
889#529—431no—
890C2×#125—431no—
891C2×#125—431no—
892C2×#125—861no—
893#525—431no—
894C2×C22⋊Q8—861no—
895C2×C22⋊Q8—861no—
896C2×#121—431no—
897#520—431no—
898#518—431no—
899C2×#117—431no—
900C2×#117—431no—
901C22×C4⋊C4—431no—
902#501—431no—
903#501—431no—
904#501—431no—
905#501—431no—
906#501—431no—
907#501—431no—
908#501—431no—
909#501C2×D4311yescharacteristic, complemented
910#499—431no—
911#499—431no—
912#499—431no—
913#499—431no—
914#498—431no—
915#498—431no—
916#498—431no—
917#498C2×D4311yescharacteristic, complemented
918#490—431no—
919#490—431no—
920#490—431no—
921#490—431no—
922#489—431no—
923#489—431no—
924#489—431no—
925#489C2×D4311yescharacteristic, complemented
926#488—431no—
927#488—431no—
928#488—431no—
929#488C2×D4311yescharacteristic, complemented
930#486—431no—
931#486—431no—
932#486—431no—
933#486—431no—
934#485—431no—
935#485C2×D4311yescharacteristic, complemented
936#484—431no—
937#484—431no—
938#484—431no—
939#483—431no—
940#483—431no—
941#483C2×D4311yescharacteristic, complemented
942#482—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482C2×D4311yescharacteristic
948#481—431no—
949#481—431no—
950#481—431no—
951#481—431no—
952#481—431no—
953#481—431no—
954#481—431no—
955#481—431no—
956#481—431no—
957#481—431no—
958#481—431no—
959#481—431no—
960#481C2×D4311yescharacteristic
961#480—431no—
962#480—431no—
963#480—431no—
964#480—431no—
965#480—431no—
966#479—431no—
967#479—431no—
968#479—431no—
969#479C2×D4311yescharacteristic, complemented
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478—431no—
977#478—431no—
978#478—431no—
979#478—431no—
980#478—431no—
981#478C2×D4311yescharacteristic, complemented
982#476—431no—
983#476—431no—
984#476—431no—
985#476—431no—
986#476—431no—
987#476—431no—
988#476—431no—
989#476C2×D4311yescharacteristic, complemented
990#475—431no—
991#475—431no—
992#475—431no—
993#475C2×D4311yescharacteristic, complemented
994#474—431no—
995#474—431no—
996#474—431no—
997#474—431no—
998#433—431no—
999#433—431no—
1000#433—431no—
1001#433C2×D4311yescharacteristic, complemented
1002#432—431no—
1003#432—431no—
1004#431—431no—
1005#431—431no—
1006#428—431no—
1007#428—431no—
1008#428—431no—
1009#428—431no—
1010#427—431no—
1011#427—431no—
1012C2×#106—431no—
1013C2×#106—431no—
1014#424—431no—
1015#424—431no—
1016#418—431no—
1017#418—431no—
1018#417—431no—
1019#417—431no—
1020#416—431no—
1021#416—431no—
1022C2×#102—431no—
1023C2×#102—431no—
1024#407—431no—
1025C2×C22⋊C8—431no—
1026#405—431no—
1027#405—431no—
1028C43#6087311yescharacteristic, complemented, Sylow
1029C2×#41—431no—
1030C2×#41—861no—
1031C2×#41—861no—
1032C22×Q8—861no—
1033C22×Q8—861no—
1034C22×D4—431no—
1035C22×D4—861no—
1036C23×C4—431no—
1037C23×C4—861no—
1038C2×M16—431no—
1039C2×M16—431no—
1040C22×C8—431no—
1041C22×C8—431no—
1042C4⋊Q8—21no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—861no—
1051C4⋊Q8—861no—
1052C4⋊Q8—861no—
1053C4⋊Q8—861no—
1054C4⋊Q8—861no—
1055C4⋊Q8—861no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8—861no—
1060C4⋊Q8—861no—
1061C4⋊Q8—861no—
1062C4⋊Q8C22×D4311yescharacteristic
1063C4⋊Q8C22×D4311yescharacteristic
1064C4⋊Q8C22×D4311yescharacteristic
1065#127—431no—
1066#127—431no—
1067#126—21no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#125—21no—
1072#125—431no—
1073#125—431no—
1074#125—431no—
1075#125—431no—
1076#125—431no—
1077#125—431no—
1078#125—431no—
1079#125—431no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125—861no—
1085#125—861no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125C22×D4311yescharacteristic
1093#125C22×D4311yescharacteristic
1094#124—21no—
1095#124—431no—
1096#124—861no—
1097#124—861no—
1098#124—861no—
1099#124C22×D4311yescharacteristic
1100#123—21no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—431no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8C22×D4311yescharacteristic
1131#121—431no—
1132#121—431no—
1133#121—431no—
1134#121—431no—
1135#121—431no—
1136#121—861no—
1137#121—861no—
1138#121—861no—
1139#121—861no—
1140#121—861no—
1141#121—861no—
1142#121—861no—
1143#121—861no—
1144#121—861no—
1145#121—861no—
1146#121C22×D4311yescharacteristic
1147#120—861no—
1148#120—861no—
1149#120—861no—
1150C4×Q8—431no—
1151C4×Q8C22×D4311yescharacteristic
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—431no—
1157C4×D4—861no—
1158C4×D4—861no—
1159C4×D4—861no—
1160C4×D4—861no—
1161C4×D4—861no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4—861no—
1166C4×D4—861no—
1167C4×D4C22×D4311yescharacteristic
1168#117—431no—
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—431no—
1174#117—431no—
1175#117—431no—
1176#117—431no—
1177#117—431no—
1178#117—431no—
1179#117—861no—
1180#117—861no—
1181#117—861no—
1182#117—861no—
1183#117—861no—
1184#117C22×D4311yescharacteristic
1185#117C22×D4311yescharacteristic
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—861no—
1197C2×C4⋊C4—861no—
1198C2×C4⋊C4—861no—
1199C2×C4⋊C4—861no—
1200C2×C4⋊C4—861no—
1201C2×C4⋊C4—861no—
1202C2×C4⋊C4—861no—
1203C2×C4⋊C4—861no—
1204C2×C4⋊C4—861no—
1205C2×C4⋊C4—861no—
1206C2×C4⋊C4C22×D4311yescharacteristic
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—861no—
1210C2×C22⋊C4—861no—
1211C2×C22⋊C4—861no—
1212C2×C22⋊C4—861no—
1213C2×C42—431no—
1214C2×C42—431no—
1215C2×C42—861no—
1216#107—431no—
1217#107—431no—
1218#107—431no—
1219#107—431no—
1220#107—431no—
1221#107—431no—
1222#107—431no—
1223#107—431no—
1224#107—431no—
1225#107—431no—
1226#107C22×D4311yescharacteristic
1227#107C22×D4311yescharacteristic
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106—431no—
1234#106—431no—
1235#106—431no—
1236#106—431no—
1237#106—431no—
1238#106—431no—
1239#106—431no—
1240#106—431no—
1241#106—431no—
1242#106C22×D4311yescharacteristic
1243#106C22×D4311yescharacteristic
1244#106C22×D4311yescharacteristic
1245#106C22×D4311yescharacteristic
1246#106C22×D4311yescharacteristic
1247#106C22×D4311yescharacteristic
1248C4⋊C8—431no—
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8—431no—
1252C4⋊C8—431no—
1253C4⋊C8—431no—
1254C4⋊C8C22×D4311yescharacteristic
1255C4⋊C8C22×D4311yescharacteristic
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103—431no—
1260#103C22×D4311yescharacteristic
1261#103C22×D4311yescharacteristic
1262#103C22×D4311yescharacteristic
1263#103C22×D4311yescharacteristic
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102C22×D4311yescharacteristic
1285#102C22×D4311yescharacteristic
1286#102C22×D4311yescharacteristic
1287#102C22×D4311yescharacteristic
1288C22⋊C8—431no—
1289C22⋊C8—431no—
1290C22⋊C8—431no—
1291C22⋊C8—431no—
1292C22⋊C8—431no—
1293C22⋊C8—431no—
1294C22⋊C8C22×D4311yescharacteristic
1295C22⋊C8C22×D4311yescharacteristic
1296#97—431no—
1297#97—431no—
1298#97—431no—
1299#97C22×D4311yescharacteristic
1300C4×C8—431no—
1301C4×C8—431no—
1302C4×C8—431no—
1303C4×C8C22×D4311yescharacteristic
1304C24—431no—
1305C24—861no—
1306#41—862no—
1307#41—862no—
1308#41—3442no—
1309#41—3442no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—21no—
1313C2×Q8—861no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—861no—
1319C2×Q8—861no—
1320C2×Q8—3442no—
1321C2×Q8—3442no—
1322C2×Q8C23×D4311yescharacteristic
1323C2×D4—21no—
1324C2×D4—431no—
1325C2×D4—431no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4—862no—
1330C2×D4—862no—
1331C2×D4—861no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4—3442no—
1340C2×D4C23×D4311yescharacteristic
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—431no—
1344C22×C4—431no—
1345C22×C4—431no—
1346C22×C4—431no—
1347C22×C4—431no—
1348C22×C4—431no—
1349C22×C4—431no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—862no—
1353C22×C4—862no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—3442no—
1369C22×C4C23×D4311yescharacteristic
1370M16—862no—
1371M16—862no—
1372C2×C8—431no—
1373C2×C8—431no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—862no—
1377C2×C8—862no—
1378C2×C8C23×D4311yescharacteristic
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
1381C2×C8C23×D4311yescharacteristic
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
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⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4D4×D4311yescharacteristic
1438C4⋊C4D4×D4311yescharacteristic
1439C4⋊C4C23×D4311yescharacteristic
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—431no—
1452C22⋊C4—431no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
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⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4D4×D4311yescharacteristic
1475C22⋊C4D4×D4311yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—431no—
1479C42—431no—
1480C42—431no—
1481C42—431no—
1482C42—431no—
1483C42—431no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42C23×D4311yescharacteristic
1490C42C23×D4311yescharacteristic
1491C23—21no—
1492C23—431no—
1493C23—431no—
1494C23—862no—
1495C23—862no—
1496C23—861no—
1497C23—861no—
1498C23—3441no—
1499C23—3441no—
1500C23—1721no—
1501C23—1722no—
1502C23C2×D4×D4311yescharacteristic
1503Q8—21no—
1504Q8—21no—
1505Q8—81no—
1506Q8—81no—
1507Q8—81no—
1508Q8—3441no—
1509Q8—3441no—
1510Q8—3441no—
1511Q8—3441no—
1512Q8—3441no—
1513Q8—3441no—
1514Q8—3441no—
1515D4—21no—
1516D4—21no—
1517D4—81no—
1518D4—861no—
1519D4—861no—
1520D4—861no—
1521D4—861no—
1522D4—3441no—
1523D4—3441no—
1524D4—3441no—
1525D4—3441no—
1526D4—3441no—
1527D4—3441no—
1528D4—1722no—
1529D4—1722no—
1530D4—1722no—
1531D4—1722no—
1532D4—1722no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—431no—
1545C2×C4—432no—
1546C2×C4—432no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—431no—
1551C2×C4—431no—
1552C2×C4—862no—
1553C2×C4—862no—
1554C2×C4—862no—
1555C2×C4—862no—
1556C2×C4—862no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—3441no—
1566C2×C4—3441no—
1567C2×C4—3441no—
1568C2×C4—3441no—
1569C2×C4—3441no—
1570C2×C4—3441no—
1571C2×C4—3441no—
1572C2×C4—3441no—
1573C2×C4—3441no—
1574C2×C4—1721no—
1575C2×C4—1721no—
1576C2×C4—1722no—
1577C2×C4—1722no—
1578C2×C4—1722no—
1579C2×C4—1722no—
1580C2×C4—1722no—
1581C2×C4C2×D4×D4311yescharacteristic
1582C2×C4C2×D4×D4311yescharacteristic
1583C2×C4C2×D4×D4311yescharacteristic
1584C2×C4C2×D4×D4311yescharacteristic
1585C2×C4C2×D4×D4311yescharacteristic
1586C2×C4C24×D4311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—861no—
1592C8—861no—
1593C8—861no—
1594C8—861no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—432no—
1602C22—432no—
1603C22—861no—
1604C22—861no—
1605C22—861no—
1606C22—861no—
1607C22—1724no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—6882no—
1615C22C22×D4×D4311yescharacteristic
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—432no—
1629C4—861no—
1630C4—861no—
1631C4—861no—
1632C4—861no—
1633C4—861no—
1634C4—1721no—
1635C4—1721no—
1636C4—1721no—
1637C4—1721no—
1638C4—1721no—
1639C4—1721no—
1640C42−1+4×D4311yescharacteristic
1641C42−1+4×D4311yescharacteristic
1642C2—41no—
1643C2—81no—
1644C2—862no—
1645C2—862no—
1646C2—3441no—
1647C2—3441no—
1648C2#536×D4311yescharacteristic
1649C2#577×D4311yescharacteristic
1650C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3244C2
socleC22×C43C23×D4
prime radical#19148328C2
hypercenter#3244D43
hypocenterC43#60873
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
2. #544×D43C2semidirect
3. #19145899C2semidirect
4. #19145897C2semidirect
5. #19145887C2semidirect
6. #19145854C2semidirect
7. #19145852C2semidirect
8. #19145850C2semidirect
9. #19145848C2semidirect
10. #19145829C2semidirect
11. #19145821C2semidirect
12. #19145786C2semidirect
13. #19145783C2semidirect
14. #19145767C2semidirect
15. #19145758C2semidirect
16. #19145724C2semidirect
17. #19145722C2semidirect
18. #19145122C2semidirect
19. #19145120C2semidirect
20. #19144948C2semidirect
21. #19144946C2semidirect
22. #19144534C2semidirect
23. #19144519C2semidirect
24. #19144513C2semidirect
25. #481×D43C2semidirect
26. #19144460C2semidirect
27. #19144454C2semidirect
28. #19144423C2semidirect
29. #19144421C2semidirect
30. #19143251C2semidirect
31. C43×#3244C2semidirect
40. #14583530C22semidirect
46. #14583527C22semidirect
47. #14583527C22semidirect
59. C4⋊Q8×D43C22semidirect
60. C4⋊Q8×D43C22semidirect
64. #125×D43C22semidirect
65. #125×D43C22semidirect
75. #14583308C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583301C22semidirect
83. #14583300C22semidirect
84. #14583299C22semidirect
85. #14583298C22semidirect
86. #14583296C22semidirect
87. #14583296C22semidirect
88. #14583295C22semidirect
89. #14583265C22semidirect
90. #14583264C22semidirect
91. #14583262C22semidirect
92. #14583262C22semidirect
93. #14583260C22semidirect
94. #14583260C22semidirect
95. #14583258C22semidirect
96. #14583255C22semidirect
97. #14583255C22semidirect
98. #14583253C22semidirect
99. #14583247C22semidirect
100. #14583246C22semidirect
101. #14583244C22semidirect
102. #14583244C22semidirect
103. #14583237C22semidirect
104. #14583233C22semidirect
105. #14583233C22semidirect
106. #14583233C22semidirect
107. #14583228C22semidirect
108. #14583227C22semidirect
110. #14583224C22semidirect
112. #14583223C22semidirect
117. #14583219C22semidirect
118. #14583219C22semidirect
119. #14583219C22semidirect
127. #14583214C22semidirect
128. #14583213C22semidirect
129. #14583212C22semidirect
131. #14583208C22semidirect
132. #14583206C22semidirect
133. #14583204C22semidirect
134. #14583202C22semidirect
135. #14583202C22semidirect
136. #14583201C22semidirect
137. #14583200C22semidirect
138. #14583200C22semidirect
139. #14583199C22semidirect
140. #14583198C22semidirect
141. #14583198C22semidirect
142. #14583197C22semidirect
143. #14583196C22semidirect
144. #14583196C22semidirect
145. #14583190C22semidirect
146. #14583189C22semidirect
147. #14583188C22semidirect
148. #14583188C22semidirect
149. #14583188C22semidirect
150. #14583188C22semidirect
151. #14583186C22semidirect
152. #14583184C22semidirect
153. #14583182C22semidirect
154. #14583182C22semidirect
155. #14583180C22semidirect
156. #14583177C22semidirect
157. #14583177C22semidirect
158. #14583176C22semidirect
159. #14582960C22semidirect
160. #14582957C22semidirect
161. #14582957C22semidirect
162. #14582955C22semidirect
163. #14582954C22semidirect
164. #14582951C22semidirect
165. #14582950C22semidirect
188. C43×#544C22semidirect
190. C43×#501C22semidirect
191. C43×#498C22semidirect
192. C43×#489C22semidirect
193. C43×#488C22semidirect
194. C43×#485C22semidirect
195. C43×#483C22semidirect
198. C43×#479C22semidirect
199. C43×#478C22semidirect
200. C43×#476C22semidirect
201. C43×#475C22semidirect
202. C43×#433C22semidirect
822. #3244D43semidirect
877. #544C2×D43semidirect
909. #501C2×D43semidirect
917. #498C2×D43semidirect
925. #489C2×D43semidirect
929. #488C2×D43semidirect
935. #485C2×D43semidirect
941. #483C2×D43semidirect
969. #479C2×D43semidirect
981. #478C2×D43semidirect
989. #476C2×D43semidirect
993. #475C2×D43semidirect
1001. #433C2×D43semidirect
1028. C43#60873semidirect

Maximal subgroups

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

subgroupindex
#191483282
#544×D432
#191458992
#191458972
#191458872
#191458542
#191458522
#191458502
#191458482
#191458292
#191458212
#191457862
#191457832
#191457672
#191457582
#191457242
#191457222
#191451222
#191451202
#191449482
#191449462
#191445342
#191445192
#191445132
#481×D432
#191444602
#191444542
#191444232
#191444212
#191432512
C43×#32442
#6087343