Finite Group Databasebeta

← #25993803

Subgroups — #25993803

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149230C211yesmaximal, characteristic, complemented
2#19148542C211yesmaximal, characteristic, complemented
3#19147553C211yesmaximal, characteristic, complemented
4#19147467C211yesmaximal, characteristic, complemented
5#19147361C211yesmaximal, characteristic, complemented
6#19147256C211yesmaximal, characteristic, complemented
7#19147183C211yesmaximal, characteristic, complemented
8#19147149C211yesmaximal, characteristic, complemented
9#19147148C211yesmaximal, characteristic, complemented
10#19147121C211yesmaximal, characteristic, complemented
11#19147031C211yesmaximal, characteristic, complemented
12#19146824C211yesmaximal, characteristic, complemented
13#19146814C211yesmaximal, characteristic, complemented
14#19146790C211yesmaximal, characteristic, complemented
15#19146757C211yesmaximal, characteristic, complemented
16#19146742C211yesmaximal, characteristic, complemented
17#19146432C211yesmaximal, characteristic, complemented
18#19146050C211yesmaximal, characteristic, complemented
19#19145999C211yesmaximal, characteristic, complemented
20#19145995C211yesmaximal, characteristic, complemented
21#19145891C211yesmaximal, characteristic, complemented
22#19145852C211yesmaximal, characteristic, complemented
23#19145775C211yesmaximal, characteristic, complemented
24#19144875C211yesmaximal, characteristic, complemented
25#19144774C211yesmaximal, characteristic, complemented
26#19144640C211yesmaximal, characteristic, complemented
27#19144451C211yesmaximal, characteristic, complemented
28#19144429C211yesmaximal, characteristic, complemented
29#19144390C211yesmaximal, characteristic, complemented
30#19143745C211yesmaximal, characteristic, complemented
31C43×#3339C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583644—21no—
34#14583632C2211yescharacteristic
35#14583626C2211yescharacteristic, complemented
36#14583619—21no—
37#14583617C2211yescharacteristic
38#14583613C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic, complemented
40#14583605C2211yescharacteristic
41#14583601C2211yescharacteristic
42#14583599—21no—
43#14583589C2211yescharacteristic, complemented
44#14583588C2211yescharacteristic
45#14583586—21no—
46#14583584C2211yescharacteristic, complemented
47#14583577—21no—
48#14583574—21no—
49#14583550C2211yescharacteristic
50#14583546—21no—
51#14583546C2211yescharacteristic
52#14583545C2211yescharacteristic
53#14583533C2211yescharacteristic
54#14583530C2211yescharacteristic, complemented
55#14583527C2211yescharacteristic, complemented
56#14583517—21no—
57#14583516—21no—
58#14583516C2211yescharacteristic
59#14583516C2211yescharacteristic, complemented
60#14583516C2211yescharacteristic, complemented
61#14583506—21no—
62#14583502C2211yescharacteristic
63#14583491—21no—
64#14583490—21no—
65#14583481—21no—
66#14583455C2211yescharacteristic, complemented
67#14583434C2211yescharacteristic
68#14583431C2211yescharacteristic
69#14583431C2211yescharacteristic, complemented
70#14583408—21no—
71#123×D43—21no—
72#14583380C2211yescharacteristic
73#14583373C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583306C2211yescharacteristic, complemented
77#14583299C2211yescharacteristic, complemented
78#14583298C2211yescharacteristic, complemented
79#14583296C2211yescharacteristic, complemented
80#14583262C2211yescharacteristic
81#14583257C2211yescharacteristic, complemented
82#14583256C2211yescharacteristic, complemented
83#14583254C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic
86#14583243C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583230C2211yescharacteristic, complemented
92#14583229C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic
94#14583225C2211yescharacteristic
95#14583224C2211yescharacteristic, complemented
96#14583220C2211yescharacteristic, complemented
97#14583216C2211yescharacteristic, complemented
98#14583215C2211yescharacteristic
99#14583212C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583203C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic
105#14583202C2211yescharacteristic
106#14583202C2211yescharacteristic, complemented
107#14583201C2211yescharacteristic, complemented
108#14583201C2211yescharacteristic, complemented
109#14583200C2211yescharacteristic
110#14583199C2211yescharacteristic, complemented
111#14583198C2211yescharacteristic
112#14583198C2211yescharacteristic, complemented
113#14583196C2211yescharacteristic
114#14583193C2211yescharacteristic, complemented
115#14583193C2211yescharacteristic, complemented
116#14583193C2211yescharacteristic, complemented
117#14583188C2211yescharacteristic
118#14583188C2211yescharacteristic, complemented
119#14583188C2211yescharacteristic, complemented
120#14583187C2211yescharacteristic, complemented
121#14583183C2211yescharacteristic, complemented
122#14583178C2211yescharacteristic
123#14583178C2211yescharacteristic
124#14583178C2211yescharacteristic
125#14583178C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583177C2211yescharacteristic, complemented
128#14583158C2211yescharacteristic, complemented
129#14583151C2211yescharacteristic
130#14583150C2211yescharacteristic, complemented
131#14583146C2211yescharacteristic
132#14583144C2211yescharacteristic, complemented
133#14583143C2211yescharacteristic
134#14583143C2211yescharacteristic, complemented
135#14583143C2211yescharacteristic, complemented
136#14583140C2211yescharacteristic, complemented
137#14583128C2211yescharacteristic, complemented
138#14583122C2211yescharacteristic, complemented
139#14583120C2211yescharacteristic, complemented
140#14583120C2211yescharacteristic, complemented
141#14583114C2211yescharacteristic, complemented
142#14583113C2211yescharacteristic
143#14583113C2211yescharacteristic, complemented
144#14583112C2211yescharacteristic, complemented
145#14583112C2211yescharacteristic, complemented
146#14583098C2211yescharacteristic
147#14583092C2211yescharacteristic
148#14583063C2211yescharacteristic
149#14583052C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583042C2211yescharacteristic
152#14583032C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583026C2211yescharacteristic, complemented
155C8×Dic86C2211yescharacteristic, complemented
156#14583008C2211yescharacteristic
157#14583008C2211yescharacteristic
158#14583005C2211yescharacteristic, complemented
159#14582998C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic
162#14582986C2211yescharacteristic
163#14582986C2211yescharacteristic
164C4×#10621883C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166#14582979C2211yescharacteristic, complemented
167#14582977C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic
169#14582974C2211yescharacteristic, complemented
170#14582970C2211yescharacteristic
171#14582970C2211yescharacteristic, complemented
172#14582957C2211yescharacteristic, complemented
173#14582957C2211yescharacteristic, complemented
174#14582950C2211yescharacteristic, complemented
175#14582942C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582939C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#14582925C2211yescharacteristic, complemented
180#14582925C2211yescharacteristic, complemented
181#14582921C2211yescharacteristic, complemented
182#14582903C2211yescharacteristic
183#14582902C2211yescharacteristic
184#14582902C2211yescharacteristic
185#14582898C2211yescharacteristic
186#14582896C2211yescharacteristic
187C2×#13063247C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#553C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic, complemented
194C43×#481C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic
198C43×#466C2211yescharacteristic, complemented
199C4×D8×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#427C2211yescharacteristic, complemented
202C2×#107×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C22×D172C2311yescharacteristic
206C2×D4×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×Dic172C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621877C2311yescharacteristic
217C2×#10621877C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220#13063325—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063321C2311yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063319—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318D411yescharacteristic
241#13063318D411yescharacteristic
242#13063317—21no—
243#13063317—21no—
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316D411yescharacteristic
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063313C2311yescharacteristic
256#13063312—21no—
257#13063312—21no—
258#13063312—21no—
259#13063312—21no—
260#13063312D411yescharacteristic
261#13063312C2311yescharacteristic
262#13063312C2311yescharacteristic
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063309—21no—
270#13063309—21no—
271#13063308—21no—
272#13063308—21no—
273#13063308—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307D411yescharacteristic
280#13063307D411yescharacteristic
281#13063306—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063305—21no—
286#13063305D411yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063304—21no—
290#13063304—21no—
291#13063304—21no—
292#13063304C2311yescharacteristic
293#13063304C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063300C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063296—21no—
315#13063296—21no—
316#13063296D411yescharacteristic
317#13063296C2311yescharacteristic
318#13063295—21no—
319#13063293—21no—
320#13063293—21no—
321#13063293—21no—
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172C2311yescharacteristic
335D4×Dic43—21no—
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43C2311yescharacteristic
351C4×C22⋊D43C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353#13063284—21no—
354#13063284—21no—
355#13063284C2311yescharacteristic
356#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358#13063283—21no—
359#13063283—21no—
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063281—21no—
364#13063281—21no—
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C22⋊C4×D43—21no—
371C22⋊C4×D43—21no—
372C22⋊C4×D43—21no—
373C22⋊C4×D43—21no—
374C22⋊C4×D43—21no—
375C42×D43C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×D8×C43C2311yescharacteristic
436C22×C8×C43C2311yescharacteristic
437C22×C8×C43C2311yescharacteristic
438#126×C43—21no—
439#126×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#123×C43—21no—
443#123×C43—21no—
444#121×C43—21no—
445#121×C43—21no—
446#121×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448#121×C43C2311yescharacteristic
449#121×C43C2311yescharacteristic
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455#117×C43C2311yescharacteristic
456#117×C43C2311yescharacteristic
457C2×C4⋊C4×C43C2311yescharacteristic
458C2×C4⋊C4×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480C2×D4×C43—21no—
481C2×D4×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43C2×D411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43C2411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505D4×D43—22no—
506D4×D43—41no—
507D4×D43—82no—
508#10621898—22no—
509#10621898—41no—
510#10621898—82no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—22no—
514C2×D172—41no—
515C2×D172C2411yescharacteristic
516C2×D172C2411yescharacteristic
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—82no—
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86C2×D411yescharacteristic
535C2×Dic86C2411yescharacteristic
536C2×Dic86C2411yescharacteristic
537D8×C43—41no—
538C2×C8×C43—41no—
539C2×C8×C43—41no—
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43C2×D411yescharacteristic
566C22⋊C4×C43C2×D411yescharacteristic
567C42×C43—21no—
568C42×C43—21no—
569C42×C43C2411yescharacteristic
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586C22⋊Dic43C2×D411yescharacteristic
587C22⋊Dic43C2×D411yescharacteristic
588#10621883—41no—
589#10621883—41no—
590#10621882—22no—
591#10621882—41no—
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)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2×D411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C4×Dic43C2411yescharacteristic
661#10621877—41no—
662#10621877—41no—
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667Dic172—41no—
668#10621873—22no—
669#10621873—41no—
670#10621872—41no—
671#10621872—41no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43C22×D411yescharacteristic
675C23×C43C22×D411yescharacteristic
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—42no—
679C22×D43—42no—
680C22×D43—42no—
681C22×D43—81no—
682C22×D43—81no—
683C22×D43—81no—
684C22×D43C22×D411yescharacteristic
685D4×C43—21no—
686D4×C43—21no—
687D4×C43—21no—
688D4×C43—21no—
689D4×C43—41no—
690D4×C43—81no—
691D4×C43—81no—
692D4×C43—81no—
693D4×C43—81no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43—81no—
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—41no—
714C22⋊D43—41no—
715C22⋊D43—42no—
716C22⋊D43—42no—
717C22⋊D43—81no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C22⋊D43—81no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—81no—
728C2×Dic43—81no—
729C2×Dic43—81no—
730C2×Dic43—81no—
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738D172—21no—
739D172—21no—
740D172—21no—
741D172—42no—
742D172—42no—
743D1722−1+412yes—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—41no—
747C4×D43—41no—
748C4×D43—42no—
749C4×D43—42no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756Dic86—21no—
757Dic86—21no—
758Dic86—21no—
759Dic86—21no—
760Dic86—41no—
761Dic86—81no—
762Dic86—81no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774#62175—431nomaximal, Sylow
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—21no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43C23×D411yescharacteristic
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—22no—
791C2×D43—21no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—84no—
798C2×D43—162no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43C2×2−1+411yescharacteristic
810C4×C43#58511yescharacteristic
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824#3565—431no—
825#3513—431no—
826#3389—431no—
827#3381—431no—
828#3371—431no—
829#3361—431no—
830#3354—431no—
831#3351—431no—
832#3351—431no—
833#3349—431no—
834#3343—431no—
835#3339D4311yescharacteristic, complemented
836#3324—431no—
837#3323—431no—
838#3322—431no—
839#3319—431no—
840#3318—431no—
841#3296—431no—
842#3262—431no—
843#3257—431no—
844#3256—431no—
845#3244—431no—
846#3241—431no—
847#3233—431no—
848#3125—431no—
849#3118—431no—
850#3105—431no—
851#3083—431no—
852#3081—431no—
853#3077—431no—
854#2993—431no—
855C2×C43—41no—
856C2×C43—41no—
857C2×C43—81no—
858C2×C43—81no—
859C2×C43#348911yescharacteristic
860C2×C43#358411yescharacteristic
861C2×C43#358511yescharacteristic
862D43—41no—
863D43—42no—
864D43—81no—
865#563—861no—
866#562—861no—
867#559—431no—
868#557—431no—
869#556—431no—
870#556—861no—
871#555—431no—
872#554—431no—
873#554—431no—
874#553—431no—
875#553—861no—
876#553C2×D4311yescharacteristic
877#553C2×D4311yescharacteristic, complemented
878#552—431no—
879#552—431no—
880#552—431no—
881#552—861no—
882#551—861no—
883#551—861no—
884#547—431no—
885#546—431no—
886#546—431no—
887#546—861no—
888D42—431no—
889#544—431no—
890#544—431no—
891#542—431no—
892#542—431no—
893#542—431no—
894#542—861no—
895#542—861no—
896#541—861no—
897#540—431no—
898#539—861no—
899#539—861no—
900#538—861no—
901#533—431no—
902#529—431no—
903#529—431no—
904#529—431no—
905#525—861no—
906C2×#123—861no—
907#520—431no—
908#518—431no—
909C2×C4×D4—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#499—431no—
914#499C2×D4311yescharacteristic, complemented
915#498—431no—
916#490—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488—431no—
921#486—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#484—431no—
927#483—431no—
928#483—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482C2×D4311yescharacteristic
934#482C2×D4311yescharacteristic, complemented
935#481—431no—
936#481—431no—
937#481C2×D4311yescharacteristic, complemented
938#481C2×D4311yescharacteristic, complemented
939#480—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478C2×D4311yescharacteristic, complemented
955#478C2×D4311yescharacteristic, complemented
956#477—431no—
957#477—431no—
958#477—431no—
959#476—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#475—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#470—431no—
971#469—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466C2×D4311yescharacteristic
980#466C2×D4311yescharacteristic, complemented
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#460—431no—
991#459—431no—
992#452—431no—
993#450—431no—
994#450—431no—
995#449—431no—
996#447—431no—
997#447—431no—
998#446—431no—
999C8×Q8—431no—
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8C2×D4311yescharacteristic, complemented
1012#436—431no—
1013#436—431no—
1014#436—431no—
1015#435—431no—
1016#435—431no—
1017C8×D4C2×D4311yescharacteristic, complemented
1018#433—431no—
1019#433—431no—
1020#431—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#427C2×D4311yescharacteristic, complemented
1026C2×#107C2×D4311yescharacteristic, complemented
1027#424—431no—
1028#424—431no—
1029#423—431no—
1030#418—431no—
1031#418—431no—
1032#418—431no—
1033#417—431no—
1034#416—431no—
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—861no—
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—861no—
1042C23×C4—861no—
1043C2×Q16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×SD16—431no—
1048C2×D8—431no—
1049C2×D8—431no—
1050C2×D8C22×D4311yescharacteristic
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16—431no—
1055C22×C8C22×D4311yescharacteristic
1056C22×C8C22×D4311yescharacteristic
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—861no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065#127—431no—
1066#126—21no—
1067#126—21no—
1068#126—431no—
1069#126—431no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#125—431no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125C22×D4311yescharacteristic
1095#125C22×D4311yescharacteristic
1096#124—431no—
1097#124—431no—
1098#124—431no—
1099#124—431no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#123—21no—
1108#123—21no—
1109#123—431no—
1110#123—431no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150#121—21no—
1151#121—21no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121C22×D4311yescharacteristic
1164#121C22×D4311yescharacteristic
1165#121C22×D4311yescharacteristic
1166#121C22×D4311yescharacteristic
1167#120—861no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4C22×D4311yescharacteristic
1205C4×D4C22×D4311yescharacteristic
1206C4×D4C22×D4311yescharacteristic
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117C22×D4311yescharacteristic
1220#117C22×D4311yescharacteristic
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—861no—
1224C2×C4⋊C4—861no—
1225C2×C4⋊C4—861no—
1226C2×C4⋊C4C22×D4311yescharacteristic
1227C2×C4⋊C4C22×D4311yescharacteristic
1228C2×C22⋊C4—861no—
1229C2×C22⋊C4—861no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C22⋊C4—861no—
1233C2×C42—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107C22×D4311yescharacteristic
1242#107C22×D4311yescharacteristic
1243#107C22×D4311yescharacteristic
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106C22×D4311yescharacteristic
1255#106C22×D4311yescharacteristic
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8—431no—
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8C22×D4311yescharacteristic
1305C22⋊C8C22×D4311yescharacteristic
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8C22×D4311yescharacteristic
1312C24—861no—
1313C24—861no—
1314#41—862no—
1315#41—3442no—
1316#41—1721no—
1317C2×Q8—431no—
1318C2×Q8—431no—
1319C2×Q8—431no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—431no—
1333C2×D4—862no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—862no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—3442no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4D4×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
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
1370C22×C4C23×D4311yescharacteristic
1371Q16—1721no—
1372SD16—862no—
1373SD16—1721no—
1374SD16—1721no—
1375SD16—1721no—
1376D8—41no—
1377D8—862no—
1378D8—1721no—
1379M16—1721no—
1380M16—1721no—
1381M16—1721no—
1382M16—1721no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8C23×D4311yescharacteristic
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
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⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4D4×D4311yescharacteristic
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
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⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—431no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—431no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—431no—
1509C23—861no—
1510C23—861no—
1511C23—3441no—
1512C23—3441no—
1513C23—3441no—
1514C23—1722no—
1515C23—1722no—
1516C23—1722no—
1517C23C2×D4×D4311yescharacteristic
1518C23C2×D4×D4311yescharacteristic
1519Q8—861no—
1520Q8—861no—
1521Q8—861no—
1522Q8—861no—
1523Q8—3441no—
1524Q8—3441no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1721no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—81no—
1538D4—432no—
1539D4—861no—
1540D4—861no—
1541D4—861no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—3441no—
1546D4—1722no—
1547D4—1722no—
1548D4—1721no—
1549D4—1721no—
1550D4—1722no—
1551D4—1722no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—431no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—1721no—
1592C2×C4—1721no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C24×D4311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—862no—
1624C22—3444no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—6882no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—861no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C42−1+4×D4311yescharacteristic
1656C4#1458373511yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—81no—
1661C2—3441no—
1662C2—1721no—
1663C2—1722no—
1664C2#1914826911yescharacteristic
1665C2#1914936411yescharacteristic
1666C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3339C2
socleC22×C43C23×D4
hypercenter#3339D43
hypocenterC43#62175
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3339

Complements

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

NH ≅ G/Ntype
1. #19149230C2semidirect
2. #19148542C2semidirect
3. #19147553C2semidirect
4. #19147467C2semidirect
5. #19147361C2semidirect
6. #19147256C2semidirect
7. #19147183C2semidirect
8. #19147149C2semidirect
9. #19147148C2semidirect
10. #19147121C2semidirect
11. #19147031C2semidirect
12. #19146824C2semidirect
13. #19146814C2semidirect
14. #19146790C2semidirect
15. #19146757C2semidirect
16. #19146742C2semidirect
17. #19146432C2semidirect
18. #19146050C2semidirect
19. #19145999C2semidirect
20. #19145995C2semidirect
21. #19145891C2semidirect
22. #19145852C2semidirect
23. #19145775C2semidirect
24. #19144875C2semidirect
25. #19144774C2semidirect
26. #19144640C2semidirect
27. #19144451C2semidirect
28. #19144429C2semidirect
29. #19144390C2semidirect
30. #19143745C2semidirect
31. C43×#3339C2semidirect
35. #14583626C22semidirect
38. #14583613C22semidirect
39. #14583608C22semidirect
43. #14583589C22semidirect
46. #14583584C22semidirect
54. #14583530C22semidirect
55. #14583527C22semidirect
59. #14583516C22semidirect
60. #14583516C22semidirect
66. #14583455C22semidirect
69. #14583431C22semidirect
75. #14583307C22semidirect
76. #14583306C22semidirect
77. #14583299C22semidirect
78. #14583298C22semidirect
79. #14583296C22semidirect
81. #14583257C22semidirect
82. #14583256C22semidirect
83. #14583254C22semidirect
84. #14583252C22semidirect
86. #14583243C22semidirect
87. #14583242C22semidirect
88. #14583240C22semidirect
89. #14583240C22semidirect
90. #14583236C22semidirect
91. #14583230C22semidirect
92. #14583229C22semidirect
95. #14583224C22semidirect
96. #14583220C22semidirect
97. #14583216C22semidirect
99. #14583212C22semidirect
100. #14583205C22semidirect
101. #14583205C22semidirect
102. #14583205C22semidirect
103. #14583203C22semidirect
106. #14583202C22semidirect
107. #14583201C22semidirect
108. #14583201C22semidirect
110. #14583199C22semidirect
112. #14583198C22semidirect
114. #14583193C22semidirect
115. #14583193C22semidirect
116. #14583193C22semidirect
118. #14583188C22semidirect
119. #14583188C22semidirect
120. #14583187C22semidirect
121. #14583183C22semidirect
125. #14583178C22semidirect
126. #14583177C22semidirect
127. #14583177C22semidirect
128. #14583158C22semidirect
130. #14583150C22semidirect
132. #14583144C22semidirect
134. #14583143C22semidirect
135. #14583143C22semidirect
136. #14583140C22semidirect
137. #14583128C22semidirect
138. #14583122C22semidirect
139. #14583120C22semidirect
140. #14583120C22semidirect
141. #14583114C22semidirect
143. #14583113C22semidirect
144. #14583112C22semidirect
145. #14583112C22semidirect
154. #14583026C22semidirect
155. C8×Dic86C22semidirect
158. #14583005C22semidirect
159. #14582998C22semidirect
160. #14582990C22semidirect
164. C4×#10621883C22semidirect
166. #14582979C22semidirect
167. #14582977C22semidirect
169. #14582974C22semidirect
171. #14582970C22semidirect
172. #14582957C22semidirect
173. #14582957C22semidirect
174. #14582950C22semidirect
175. #14582942C22semidirect
176. #14582940C22semidirect
177. #14582939C22semidirect
178. #14582938C22semidirect
179. #14582925C22semidirect
180. #14582925C22semidirect
181. #14582921C22semidirect
189. C43×#553C22semidirect
190. C43×#499C22semidirect
192. C43×#482C22semidirect
193. C43×#481C22semidirect
194. C43×#481C22semidirect
195. C43×#478C22semidirect
196. C43×#478C22semidirect
198. C43×#466C22semidirect
199. C4×D8×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#427C22semidirect
202. C2×#107×C43C22semidirect
835. #3339D43semidirect
877. #553C2×D43semidirect
914. #499C2×D43semidirect
934. #482C2×D43semidirect
937. #481C2×D43semidirect
938. #481C2×D43semidirect
954. #478C2×D43semidirect
955. #478C2×D43semidirect
980. #466C2×D43semidirect
1011. C4×D8C2×D43semidirect
1017. C8×D4C2×D43semidirect
1025. #427C2×D43semidirect
1026. C2×#107C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492302
#191485422
#191475532
#191474672
#191473612
#191472562
#191471832
#191471492
#191471482
#191471212
#191470312
#191468242
#191468142
#191467902
#191467572
#191467422
#191464322
#191460502
#191459992
#191459952
#191458912
#191458522
#191457752
#191448752
#191447742
#191446402
#191444512
#191444292
#191443902
#191437452
C43×#33392
#6217543