Finite Group Databasebeta

← #25979524

Subgroups — #25979524

Order 11008.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148640C211yesmaximal, characteristic, complemented
2#19148623C211yesmaximal, characteristic, complemented
3#19147616C211yesmaximal, characteristic, complemented
4#19147491C211yesmaximal, characteristic, complemented
5#19147247C211yesmaximal, characteristic, complemented
6#19147229C211yesmaximal, characteristic, complemented
7#19147186C211yesmaximal, characteristic, complemented
8#19147076C211yesmaximal, characteristic, complemented
9#19146521C211yesmaximal, characteristic, complemented
10#19146443C211yesmaximal, characteristic, complemented
11#19146439C211yesmaximal, characteristic, complemented
12#19146417C211yesmaximal, characteristic, complemented
13#19146413C211yesmaximal, characteristic, complemented
14#19146406C211yesmaximal, characteristic, complemented
15#19146192C211yesmaximal, characteristic, complemented
16#19146080C211yesmaximal, characteristic, complemented
17#19146072C211yesmaximal, characteristic, complemented
18#19145283C211yesmaximal, characteristic, complemented
19#19145271C211yesmaximal, characteristic, complemented
20#19145149C211yesmaximal, characteristic, complemented
21#19144801C211yesmaximal, characteristic, complemented
22#19144797C211yesmaximal, characteristic, complemented
23#19144786C211yesmaximal, characteristic, complemented
24#19144782C211yesmaximal, characteristic, complemented
25#19144691C211yesmaximal, characteristic, complemented
26#19144683C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143426C211yesmaximal, characteristic, complemented
29#19143425C211yesmaximal, characteristic, complemented
30C2×#14582981C211yesmaximal, characteristic, complemented
31C43×#3346C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C22×D344C2211yescharacteristic
35#14583621C2211yescharacteristic, complemented
36#14583612C2211yescharacteristic, complemented
37#14583605C2211yescharacteristic, complemented
38#14583604C2211yescharacteristic, complemented
39#14583600—21no—
40#14583597C2211yescharacteristic
41#14583581—21no—
42#14583578—21no—
43#14583576—21no—
44#14583570C2211yescharacteristic, complemented
45#14583564C2211yescharacteristic, complemented
46#14583559—21no—
47#14583551C2211yescharacteristic, complemented
48#14583550C2211yescharacteristic, complemented
49#14583545C2211yescharacteristic, complemented
50#14583544—21no—
51#14583541—21no—
52#14583540C2211yescharacteristic, complemented
53#14583538—21no—
54D4×D172C2211yescharacteristic
55#14583533C2211yescharacteristic
56#14583533C2211yescharacteristic, complemented
57#14583523C2211yescharacteristic, complemented
58#14583522C2211yescharacteristic, complemented
59#14583505C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583497—21no—
62#14583495—21no—
63#14583488—21no—
64#14583485—21no—
65#14583451C2211yescharacteristic, complemented
66#14583444C2211yescharacteristic
67#14583429C2211yescharacteristic
68#14583408—21no—
69#14583408—21no—
70C22⋊Q8×D43—21no—
71#121×D43—21no—
72#14583381C2211yescharacteristic, complemented
73#14583380C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C2×#13063287C2211yescharacteristic
77C2×#13063287C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583296C2211yescharacteristic, complemented
80#14583288C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583270C2211yescharacteristic, complemented
83#14583256C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583247C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583234C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583223C2211yescharacteristic, complemented
93#14583219C2211yescharacteristic, complemented
94#14583217C2211yescharacteristic, complemented
95#14583217C2211yescharacteristic, complemented
96#14583214C2211yescharacteristic, complemented
97#14583205C2211yescharacteristic, complemented
98#14583202C2211yescharacteristic, complemented
99#14583196C2211yescharacteristic, complemented
100#14583188C2211yescharacteristic, complemented
101#14583188C2211yescharacteristic, complemented
102#14583188C2211yescharacteristic, complemented
103#14583186C2211yescharacteristic, complemented
104#14583178C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583153C2211yescharacteristic, complemented
108#14583152C2211yescharacteristic, complemented
109#14583146C2211yescharacteristic, complemented
110#14583136C2211yescharacteristic, complemented
111#14583133C2211yescharacteristic, complemented
112#14583130C2211yescharacteristic, complemented
113#14583130C2211yescharacteristic, complemented
114#14583129C2211yescharacteristic, complemented
115#14583128C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic
118#14583117C2211yescharacteristic, complemented
119#14583115C2211yescharacteristic
120#14583114C2211yescharacteristic, complemented
121#14583103C2211yescharacteristic, complemented
122#14583103C2211yescharacteristic, complemented
123#14583099C2211yescharacteristic, complemented
124#14583098C2211yescharacteristic, complemented
125#14583095C2211yescharacteristic, complemented
126#14583093C2211yescharacteristic, complemented
127#14583093C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic, complemented
129#14583052C2211yescharacteristic
130#14583051C2211yescharacteristic, complemented
131#14583049C2211yescharacteristic
132#14583049C2211yescharacteristic, complemented
133#14583047C2211yescharacteristic, complemented
134#14583047C2211yescharacteristic, complemented
135#14583046C2211yescharacteristic, complemented
136#14583042C2211yescharacteristic, complemented
137#14583035C2211yescharacteristic
138#14583035C2211yescharacteristic, complemented
139#14583034C2211yescharacteristic
140#14583032C2211yescharacteristic, complemented
141#14583027C2211yescharacteristic, complemented
142#14583023C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic, complemented
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582998C2211yescharacteristic, complemented
154#14582990C2211yescharacteristic, complemented
155SD16×Dic43C2211yescharacteristic, complemented
156C4×#10621884C2211yescharacteristic, complemented
157#14582986C2211yescharacteristic, complemented
158#14582986C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic, complemented
160#14582981C2211yescharacteristic
161#14582981C2211yescharacteristic
162#14582981C2211yescharacteristic
163#14582981C2211yescharacteristic
164#14582981C2211yescharacteristic, complemented
165#14582981C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic, complemented
167#14582981C2211yescharacteristic, complemented
168#14582981C2211yescharacteristic, complemented
169C4×#10621882C2211yescharacteristic, complemented
170#14582975C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic, complemented
172D4×C43⋊C8C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174(C22⋊D43)⋊C8C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582894C2211yescharacteristic, complemented
180#14582893C2211yescharacteristic, complemented
181C2×#13063245C2211yescharacteristic
182C2×#13063245C2211yescharacteristic, complemented
183C2×#13063245C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C43×#465C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C2×#107×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×Q8×D43—21no—
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×D172C2311yescharacteristic
212C2×D4×D43—21no—
213C2×D4×D43—21no—
214C2×D4×D43—21no—
215C2×D4×D43C2311yescharacteristic
216C22×C4×D43—21no—
217C22×C4×D43—21no—
218#13063353—24no—
219#13063352—24no—
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×#10621884C2311yescharacteristic
227C2×D344—24no—
228C2×D344C2311yescharacteristic
229C2×D344C2311yescharacteristic
230C2×D344C2311yescharacteristic
231C2×D344C2311yescharacteristic
232C2×D344C2311yescharacteristic
233C2×D344C2311yescharacteristic
234C2×#10621882C2311yescharacteristic
235C2×#10621882C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C22×C43⋊C8C2311yescharacteristic
238C22×C43⋊C8C2311yescharacteristic
239C2×C8×D43C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063323C2311yescharacteristic
244#13063322C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320D411yescharacteristic
252#13063319—21no—
253#13063318D411yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063314—21no—
259#13063314C2311yescharacteristic
260#13063313—21no—
261#13063313C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063309—21no—
275#13063309D411yescharacteristic
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063306D411yescharacteristic
281#13063305—21no—
282#13063305—21no—
283#13063305C2311yescharacteristic
284#13063304—21no—
285#13063304C2311yescharacteristic
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063302D411yescharacteristic
295#13063301—21no—
296#13063301—21no—
297#13063300—21no—
298#13063300—21no—
299#13063300—21no—
300#13063300—21no—
301#13063300C2311yescharacteristic
302#13063300C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299—21no—
305#13063299—21no—
306#13063299C2311yescharacteristic
307#13063299C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297D411yescharacteristic
319#13063296—21no—
320#13063295—21no—
321#13063295—21no—
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063293—21no—
326#13063293—21no—
327#13063293—21no—
328Q8×Dic43C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43C2311yescharacteristic
362C4×C22⋊D43C2311yescharacteristic
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284C2311yescharacteristic
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063281—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C2×C4×Dic43C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063245C2311yescharacteristic
411#13063245C2311yescharacteristic
412#13063245C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C22×C4×C43C2411yescharacteristic
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43C2×D411yescharacteristic
507C2×C22⋊D43C2×D411yescharacteristic
508C22×Dic43—21no—
509C22×Dic43C2×D411yescharacteristic
510C22×Dic43C2×D411yescharacteristic
511#10621902—22no—
512#10621902—41no—
513Q8×D43—82no—
514#10621900—82no—
515D4×D43—22no—
516D4×D43—41no—
517D4×D43—82no—
518D4×D43—82no—
519D4×D43—82no—
520#10621898—22no—
521#10621898—41no—
522#10621898—82no—
523#10621898—82no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—22no—
534C2×D172—22no—
535C2×D172—22no—
536C2×D172—41no—
537C2×D172—41no—
538C2×D172—41no—
539C2×D172C2411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—82no—
562C2×C4×D43—82no—
563C2×C4×D43C2411yescharacteristic
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569SD16×C43—22no—
570M16×C43—22no—
571C2×C8×C43—22no—
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C42×C43—21no—
601C42×C43—21no—
602C42×C43C2411yescharacteristic
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609#10621884—22no—
610#10621884—41no—
611#10621884—41no—
612#10621883—41no—
613#10621882—22no—
614#10621882—41no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
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)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
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×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C2×C43⋊C8—41no—
679C2×C43⋊C8—41no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686D344—22no—
687D344—22no—
688D344—41no—
689D344#4114yescomplemented
690#10621873—22no—
691#10621873—22no—
692#10621873—41no—
693#10621872—22no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43C22×D411yescharacteristic
697C23×C43C22×D411yescharacteristic
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—42no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43C22×D411yescharacteristic
716Q8×C43—21no—
717Q8×C43—21no—
718Q8×C43—81no—
719D4×C43—22no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—42no—
723D4×C43—81no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C2511yescharacteristic
744C22⋊D43—22no—
745C22⋊D43—22no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C2×Dic43—22no—
756C2×Dic43—22no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—81no—
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768D172—21no—
769D172—21no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—21no—
775D172—21no—
776D172—42no—
777D172—42no—
778D172—42no—
779D172—42no—
780D172—81no—
781D172—81no—
782D172—81no—
783D172—81no—
784D172—81no—
785D172C2×#4112yes—
786D172C2×#4112yes—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—42no—
794C4×D43—42no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43—81no—
806Dic86—22no—
807Dic86—21no—
808Dic86—21no—
809Dic86—42no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#61496—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43#57712yes—
830C22×C43C23×D411yescharacteristic
831C2×D43—22no—
832C2×D43—22no—
833C2×D43—21no—
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—84no—
850C2×D43—84no—
851C2×D43—162no—
852C2×D43—162no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43—41no—
863C4×C43—41no—
864C4×C43C22×#4111yescharacteristic
865C4×C43#58511yescharacteristic
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—21no—
870Dic43—21no—
871Dic43—21no—
872Dic43—41no—
873Dic43—41no—
874Dic43—41no—
875Dic43#57612yes—
876#3520—431no—
877#3519—431no—
878#3397—431no—
879#3384—431no—
880#3360—431no—
881#3358—431no—
882#3354—431no—
883#3346—431no—
884#3346D4311yescharacteristic, complemented
885#3303—431no—
886#3297—431no—
887#3297—431no—
888#3295—431no—
889#3295—431no—
890#3294—431no—
891#3272—431no—
892#3264—431no—
893#3264—431no—
894#3179—431no—
895#3179—431no—
896#3167—431no—
897#3119—431no—
898#3119—431no—
899#3118—431no—
900#3118—431no—
901#3110—431no—
902#3109—431no—
903#2966—431no—
904#2946—431no—
905#2946—431no—
906C2×C4×D8—431no—
907C2×C43—22no—
908C2×C43—41no—
909C2×C43—81no—
910C2×C43D4×#4111yescharacteristic
911C2×C43C2×#57611yescharacteristic
912C2×C43C2×#57711yescharacteristic
913D43—41no—
914D43—42no—
915D43—42no—
916D43—81no—
917D43—81no—
918D43—81no—
919C2×AGL(1,ℤ/8)—431no—
920C2×AGL(1,ℤ/8)—431no—
921C22×D8—431no—
922#556—431no—
923#555—431no—
924#554—431no—
925#554—431no—
926#554C2×D4311yescharacteristic, complemented
927#553—431no—
928#553—861no—
929#553C2×D4311yescharacteristic
930#552—861no—
931#551—861no—
932#551—861no—
933#550—431no—
934D4×Q8—431no—
935#548—861no—
936#547—431no—
937#547—431no—
938#546—431no—
939#546—431no—
940#546—861no—
941#546—861no—
942#546—861no—
943D42—431no—
944D42—431no—
945D42—431no—
946#542—431no—
947#542—431no—
948#540—431no—
949#540—431no—
950#539—861no—
951#539—861no—
952#538—861no—
953#538—861no—
954#533—431no—
955#532—431no—
956#529—431no—
957#525—861no—
958#525—861no—
959C2×C22⋊Q8—861no—
960C2×#121—861no—
961#520—431no—
962#520—431no—
963#518—431no—
964#518—431no—
965C2×C4×D4—431no—
966C2×C4×D4—431no—
967#501—431no—
968#501C2×D4311yescharacteristic, complemented
969#498—431no—
970#496—431no—
971#496—431no—
972#492—431no—
973#488—431no—
974#488—431no—
975#487—431no—
976#486—431no—
977#486—431no—
978#486—431no—
979#485—431no—
980#485C2×D4311yescharacteristic, complemented
981#484—431no—
982#484C2×D4311yescharacteristic, complemented
983#482—431no—
984#482—431no—
985#481—431no—
986#481—431no—
987#481—431no—
988#481C2×D4311yescharacteristic, complemented
989#480—431no—
990#480C2×D4311yescharacteristic, complemented
991#479—431no—
992#479C2×D4311yescharacteristic, complemented
993#478—431no—
994#478—431no—
995#476—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#474—431no—
1000#474—431no—
1001#474—431no—
1002#474C2×D4311yescharacteristic, complemented
1003#469—431no—
1004#469—431no—
1005#468—431no—
1006#468C2×D4311yescharacteristic, complemented
1007#466—431no—
1008#466—431no—
1009#465—431no—
1010#465—431no—
1011#465—431no—
1012#465—431no—
1013#465—431no—
1014#465C2×D4311yescharacteristic, complemented
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#463—431no—
1019#461—431no—
1020#461—431no—
1021#460—431no—
1022#460—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#459—431no—
1027#450—431no—
1028#450—431no—
1029#450—431no—
1030#450—431no—
1031#449—431no—
1032#449—431no—
1033#449—431no—
1034#449—431no—
1035#447—431no—
1036#447—431no—
1037#447—431no—
1038#447—431no—
1039#446—431no—
1040C8×Q8—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442—431no—
1046#442—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052#440C2×D4311yescharacteristic, complemented
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8—431no—
1068C4×D8—431no—
1069#436—431no—
1070#435—431no—
1071#435C2×D4311yescharacteristic, complemented
1072C8×D4—431no—
1073C8×D4—431no—
1074C8×D4—431no—
1075#433—431no—
1076#433—431no—
1077#432—431no—
1078#428—431no—
1079#428C2×D4311yescharacteristic, complemented
1080C2×#107C2×D4311yescharacteristic, complemented
1081#416—431no—
1082#416—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086C2×#102—431no—
1087#405—431no—
1088#405—431no—
1089C2×C4×C8—431no—
1090C43#6149611yescharacteristic, complemented, Sylow
1091C2×#41—431no—
1092C2×#41—431no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C22×Q8—861no—
1097C22×D4—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4—861no—
1104C23×C4—861no—
1105C23×C4—861no—
1106AGL(1,ℤ/8)—864no—
1107AGL(1,ℤ/8)—864no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—431no—
1114C2×SD16—431no—
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8—431no—
1123C2×D8—431no—
1124C2×D8—864no—
1125C2×M16—431no—
1126C2×M16C22×D4311yescharacteristic
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8C22×D4311yescharacteristic
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—431no—
1135C4⋊Q8C22×D4311yescharacteristic
1136#127—431no—
1137#127—431no—
1138#127—431no—
1139#126—21no—
1140#126—431no—
1141#126—431no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#125—21no—
1148#125—431no—
1149#125—431no—
1150#125—861no—
1151#125—861no—
1152#125C22×D4311yescharacteristic
1153#124—431no—
1154#124—431no—
1155#124—431no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#123—21no—
1162#123—431no—
1163#123—431no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8C22×D4311yescharacteristic
1196C22⋊Q8C22×D4311yescharacteristic
1197#121—21no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#120—861no—
1224#120—861no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230#120—861no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—861no—
1236C4×Q8C22×D4311yescharacteristic
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—431no—
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×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4C22×D4311yescharacteristic
1272C4×D4C22×D4311yescharacteristic
1273#117—431no—
1274#117—431no—
1275#117—431no—
1276#117—861no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280#117—861no—
1281#117C22×D4311yescharacteristic
1282C2×C4⋊C4—431no—
1283C2×C4⋊C4—861no—
1284C2×C4⋊C4—861no—
1285C2×C4⋊C4—861no—
1286C2×C4⋊C4—861no—
1287C2×C4⋊C4C22×D4311yescharacteristic
1288C2×C4⋊C4C22×D4311yescharacteristic
1289C2×C4⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4—861no—
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C42—431no—
1299#107—431no—
1300#107—431no—
1301#107C22×D4311yescharacteristic
1302#107C22×D4311yescharacteristic
1303#107C22×D4311yescharacteristic
1304#107C22×D4311yescharacteristic
1305#107C22×D4311yescharacteristic
1306#107C22×D4311yescharacteristic
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106C22×D4311yescharacteristic
1313#106C22×D4311yescharacteristic
1314#106C22×D4311yescharacteristic
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8—431no—
1320C4⋊C8C22×D4311yescharacteristic
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103C22×D4311yescharacteristic
1327#103C22×D4311yescharacteristic
1328#103C22×D4311yescharacteristic
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#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8C22×D4311yescharacteristic
1358C22⋊C8C22×D4311yescharacteristic
1359#97—431no—
1360#97—431no—
1361#97—431no—
1362#97C22×D4311yescharacteristic
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C4×C8—431no—
1369C24—861no—
1370C24—861no—
1371C24—861no—
1372C24—861no—
1373#41—862no—
1374#41—862no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—1721no—
1379#41—1721no—
1380C2×Q8—21no—
1381C2×Q8—431no—
1382C2×Q8—431no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—3442no—
1387C2×Q8C23×D4311yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—431no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—862no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—862no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—3442no—
1420C2×D4—3442no—
1421C2×D4—3442no—
1422C2×D4—1721no—
1423C2×D4—1721no—
1424C2×D4—1721no—
1425C2×D4—1721no—
1426C2×D4D4×D4311yescharacteristic
1427C2×D4C23×D4311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—431no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
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—3442no—
1454C22×C4—3442no—
1455C22×C4C23×D4311yescharacteristic
1456C22×C4C23×D4311yescharacteristic
1457SD16—22no—
1458SD16—862no—
1459SD16—862no—
1460SD16—862no—
1461SD16—1721no—
1462SD16—1721no—
1463SD16—1721no—
1464SD16—1721no—
1465D8—434no—
1466D8—862no—
1467D8—862no—
1468D8—862no—
1469D8—862no—
1470D8—862no—
1471D8—1721no—
1472D8—1721no—
1473M16—22no—
1474M16—862no—
1475C2×C8—22no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—1721no—
1481C2×C8—1721no—
1482C2×C8—1721no—
1483C2×C8C23×D4311yescharacteristic
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—431no—
1505C4⋊C4—431no—
1506C4⋊C4—431no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4D4×D4311yescharacteristic
1521C4⋊C4C23×D4311yescharacteristic
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C4⋊C4C23×D4311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—431no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
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⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4D4×D4311yescharacteristic
1570C22⋊C4D4×D4311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—431no—
1577C42—431no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42—861no—
1582C42C23×D4311yescharacteristic
1583C23—21no—
1584C23—431no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—3441no—
1591C23—3441no—
1592C23—3441no—
1593C23—3441no—
1594C23—3441no—
1595C23—3441no—
1596C23—1722no—
1597C23—1722no—
1598C23—1722no—
1599C23—1722no—
1600C23—1722no—
1601C23—1722no—
1602C23C2×D4×D4311yescharacteristic
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—862no—
1608Q8—861no—
1609Q8—861no—
1610Q8—3441no—
1611Q8—3441no—
1612Q8—1722no—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—42no—
1617D4—81no—
1618D4—432no—
1619D4—432no—
1620D4—862no—
1621D4—862no—
1622D4—861no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—861no—
1629D4—861no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—431no—
1668C2×C4—431no—
1669C2×C4—431no—
1670C2×C4—862no—
1671C2×C4—862no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
1694C2×C4—1722no—
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C2×D4×D4311yescharacteristic
1699C2×C4C24×D4311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8—861no—
1707C8#41×D4312yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—861no—
1717C22—861no—
1718C22—861no—
1719C22—862no—
1720C22—862no—
1721C22—3444no—
1722C22—3444no—
1723C22—1721no—
1724C22—1721no—
1725C22—1721no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—6882no—
1737C22—6882no—
1738C22#1458370812yes—
1739C22C22×D4×D4311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—432no—
1752C4—861no—
1753C4—861no—
1754C4—861no—
1755C4—861no—
1756C4—861no—
1757C4—861no—
1758C4—1721no—
1759C4—1721no—
1760C4—1721no—
1761C4C2×#41×D4311yescharacteristic
1762C4#1458373611yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—81no—
1766C2—3441no—
1767C2—3441no—
1768C2—3441no—
1769C2—1721no—
1770C2—1722no—
1771C2—1722no—
1772C2#1914808211yescharacteristic
1773C2#576×D4311yescharacteristic
1774C2C2×#1458370811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3346C2
socleC22×C43C23×D4
hypercenter#3346D43
hypocenterC43#61496
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #19148640C2semidirect
2. #19148623C2semidirect
3. #19147616C2semidirect
4. #19147491C2semidirect
5. #19147247C2semidirect
6. #19147229C2semidirect
7. #19147186C2semidirect
8. #19147076C2semidirect
9. #19146521C2semidirect
10. #19146443C2semidirect
11. #19146439C2semidirect
12. #19146417C2semidirect
13. #19146413C2semidirect
14. #19146406C2semidirect
15. #19146192C2semidirect
16. #19146080C2semidirect
17. #19146072C2semidirect
18. #19145283C2semidirect
19. #19145271C2semidirect
20. #19145149C2semidirect
21. #19144801C2semidirect
22. #19144797C2semidirect
23. #19144786C2semidirect
24. #19144782C2semidirect
25. #19144691C2semidirect
26. #19144683C2semidirect
27. #19143565C2semidirect
28. #19143426C2semidirect
29. #19143425C2semidirect
30. C2×#14582981C2semidirect
31. C43×#3346C2semidirect
35. #14583621C22semidirect
36. #14583612C22semidirect
37. #14583605C22semidirect
38. #14583604C22semidirect
44. #14583570C22semidirect
45. #14583564C22semidirect
47. #14583551C22semidirect
48. #14583550C22semidirect
49. #14583545C22semidirect
52. #14583540C22semidirect
56. #14583533C22semidirect
57. #14583523C22semidirect
58. #14583522C22semidirect
59. #14583505C22semidirect
60. #14583502C22semidirect
65. #14583451C22semidirect
72. #14583381C22semidirect
73. #14583380C22semidirect
74. #14583373C22semidirect
75. #14583371C22semidirect
77. C2×#13063287C22semidirect
78. #14583307C22semidirect
79. #14583296C22semidirect
80. #14583288C22semidirect
81. #14583285C22semidirect
82. #14583270C22semidirect
83. #14583256C22semidirect
84. #14583255C22semidirect
85. #14583248C22semidirect
86. #14583247C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583242C22semidirect
90. #14583234C22semidirect
91. #14583226C22semidirect
92. #14583223C22semidirect
93. #14583219C22semidirect
94. #14583217C22semidirect
95. #14583217C22semidirect
96. #14583214C22semidirect
97. #14583205C22semidirect
98. #14583202C22semidirect
99. #14583196C22semidirect
100. #14583188C22semidirect
101. #14583188C22semidirect
102. #14583188C22semidirect
103. #14583186C22semidirect
104. #14583178C22semidirect
105. #14583178C22semidirect
106. #14583178C22semidirect
107. #14583153C22semidirect
108. #14583152C22semidirect
109. #14583146C22semidirect
110. #14583136C22semidirect
111. #14583133C22semidirect
112. #14583130C22semidirect
113. #14583130C22semidirect
114. #14583129C22semidirect
115. #14583128C22semidirect
116. #14583126C22semidirect
118. #14583117C22semidirect
120. #14583114C22semidirect
121. #14583103C22semidirect
122. #14583103C22semidirect
123. #14583099C22semidirect
124. #14583098C22semidirect
125. #14583095C22semidirect
126. #14583093C22semidirect
127. #14583093C22semidirect
128. #14583093C22semidirect
130. #14583051C22semidirect
132. #14583049C22semidirect
133. #14583047C22semidirect
134. #14583047C22semidirect
135. #14583046C22semidirect
136. #14583042C22semidirect
138. #14583035C22semidirect
140. #14583032C22semidirect
141. #14583027C22semidirect
142. #14583023C22semidirect
145. #14583010C22semidirect
146. #14583010C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
149. #14583002C22semidirect
150. #14583002C22semidirect
151. #14582998C22semidirect
152. #14582998C22semidirect
153. #14582998C22semidirect
154. #14582990C22semidirect
155. SD16×Dic43C22semidirect
156. C4×#10621884C22semidirect
157. #14582986C22semidirect
158. #14582986C22semidirect
159. #14582984C22semidirect
164. #14582981C22semidirect
165. #14582981C22semidirect
166. #14582981C22semidirect
167. #14582981C22semidirect
168. #14582981C22semidirect
169. C4×#10621882C22semidirect
170. #14582975C22semidirect
171. #14582970C22semidirect
172. D4×C43⋊C8C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. (C22⋊D43)⋊C8C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582940C22semidirect
179. #14582894C22semidirect
180. #14582893C22semidirect
182. C2×#13063245C22semidirect
183. C2×#13063245C22semidirect
184. #102×D43C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
187. C2×C8×Dic43C22semidirect
188. C43×#554C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
192. C43×#484C22semidirect
193. C43×#481C22semidirect
194. C43×#480C22semidirect
195. C43×#479C22semidirect
196. C43×#474C22semidirect
197. C43×#468C22semidirect
198. C43×#465C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C2×#107×C43C22semidirect
689. D344#41semidirect
884. #3346D43semidirect
926. #554C2×D43semidirect
968. #501C2×D43semidirect
980. #485C2×D43semidirect
982. #484C2×D43semidirect
988. #481C2×D43semidirect
990. #480C2×D43semidirect
992. #479C2×D43semidirect
1002. #474C2×D43semidirect
1006. #468C2×D43semidirect
1014. #465C2×D43semidirect
1052. #440C2×D43semidirect
1071. #435C2×D43semidirect
1079. #428C2×D43semidirect
1080. C2×#107C2×D43semidirect
1090. C43#61496semidirect

Maximal subgroups

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

subgroupindex
#191486402
#191486232
#191476162
#191474912
#191472472
#191472292
#191471862
#191470762
#191465212
#191464432
#191464392
#191464172
#191464132
#191464062
#191461922
#191460802
#191460722
#191452832
#191452712
#191451492
#191448012
#191447972
#191447862
#191447822
#191446912
#191446832
#191435652
#191434262
#191434252
C2×#145829812
C43×#33462
#6149643