Finite Group Databasebeta

← #25992355

Subgroups — #25992355

Order 11008.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148473C211yesmaximal, characteristic, complemented
2D4×#10621900C211yesmaximal, characteristic
3#19147517C211yesmaximal, characteristic, complemented
4#19147511C211yesmaximal, characteristic, complemented
5#19147321C211yesmaximal, characteristic, complemented
6#19147319C211yesmaximal, characteristic, complemented
7#19147177C211yesmaximal, characteristic, complemented
8#19147174C211yesmaximal, characteristic, complemented
9#19147041C211yesmaximal, characteristic, complemented
10#19147039C211yesmaximal, characteristic, complemented
11#19147037C211yesmaximal, characteristic, complemented
12#19147035C211yesmaximal, characteristic, complemented
13#19146822C211yesmaximal, characteristic, complemented
14#19146819C211yesmaximal, characteristic, complemented
15#19146620C211yesmaximal, characteristic, complemented
16#19146616C211yesmaximal, characteristic, complemented
17#19146612C211yesmaximal, characteristic, complemented
18#19145980C211yesmaximal, characteristic, complemented
19#19145977C211yesmaximal, characteristic, complemented
20#19145906C211yesmaximal, characteristic, complemented
21#19145790C211yesmaximal, characteristic, complemented
22#19145788C211yesmaximal, characteristic, complemented
23#19145714C211yesmaximal, characteristic, complemented
24#19144692C211yesmaximal, characteristic, complemented
25#19144689C211yesmaximal, characteristic, complemented
26#19144598C211yesmaximal, characteristic, complemented
27#19144390C211yesmaximal, characteristic, complemented
28#19144389C211yesmaximal, characteristic, complemented
29C2×#14583177C211yesmaximal, characteristic, complemented
30#19143707C211yesmaximal, characteristic, complemented
31C43×#3310C211yesmaximal, characteristic, complemented
32C22×#10621900—21no—
33#14583626—21no—
34#14583626C2211yescharacteristic, complemented
35#14583625C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic, complemented
37#14583617C2211yescharacteristic, complemented
38#14583616—21no—
39#14583591C2211yescharacteristic, complemented
40#14583589C2211yescharacteristic, complemented
41#14583586—21no—
42#14583584C2211yescharacteristic, complemented
43#14583582—21no—
44#14583569C2211yescharacteristic
45D4×Dic86C2211yescharacteristic
46#14583555—21no—
47#14583553C2211yescharacteristic
48#14583549C2211yescharacteristic
49#14583549C2211yescharacteristic
50#14583543—21no—
51#14583536—21no—
52#14583536—21no—
53D4×C22⋊D43C2211yescharacteristic
54D4×C22⋊D43C2211yescharacteristic
55#14583508—21no—
56#14583506—21no—
57#14583471—21no—
58#14583455C2211yescharacteristic, complemented
59#14583453C2211yescharacteristic, complemented
60#14583452C2211yescharacteristic, complemented
61#14583451C2211yescharacteristic, complemented
62#14583451C2211yescharacteristic, complemented
63#14583447C2211yescharacteristic
64#14583444C2211yescharacteristic
65#14583444C2211yescharacteristic
66C2×#13063324C2211yescharacteristic, complemented
67#14583409—21no—
68#14583405—21no—
69#14583405—21no—
70#14583376—21no—
71C4×#10621900C2211yescharacteristic
72C2×D4×Dic43C2211yescharacteristic
73C2×D4×Dic43C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583263C2211yescharacteristic, complemented
82#14583262C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic, complemented
84#14583244C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583236C2211yescharacteristic, complemented
87#14583235C2211yescharacteristic, complemented
88#14583233C2211yescharacteristic, complemented
89#14583232C2211yescharacteristic, complemented
90#14583230C2211yescharacteristic, complemented
91#14583227C2211yescharacteristic, complemented
92#14583224C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583222C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583220C2211yescharacteristic, complemented
99#14583213C2211yescharacteristic, complemented
100#14583212C2211yescharacteristic, complemented
101#14583210C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic
103#14583201C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic, complemented
105#14583199C2211yescharacteristic
106#14583197C2211yescharacteristic
107#14583197C2211yescharacteristic, complemented
108#14583196C2211yescharacteristic, complemented
109#14583195C2211yescharacteristic, complemented
110#14583194C2211yescharacteristic, complemented
111#14583193C2211yescharacteristic, complemented
112#14583192C2211yescharacteristic, complemented
113#14583188C2211yescharacteristic, complemented
114#14583187C2211yescharacteristic
115#14583187C2211yescharacteristic, complemented
116#14583187C2211yescharacteristic, complemented
117#14583183C2211yescharacteristic, complemented
118#14583182C2211yescharacteristic, complemented
119#14583178C2211yescharacteristic, complemented
120#14583178C2211yescharacteristic, complemented
121#14583177C2211yescharacteristic
122#14583177C2211yescharacteristic
123#14583177C2211yescharacteristic
124#14583177C2211yescharacteristic
125#14583177C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583177C2211yescharacteristic, complemented
128#14583177C2211yescharacteristic, complemented
129#14583177C2211yescharacteristic, complemented
130#14583177C2211yescharacteristic, complemented
131#14583147C2211yescharacteristic, complemented
132#14583145C2211yescharacteristic, complemented
133#14583144C2211yescharacteristic, complemented
134#14583144C2211yescharacteristic, complemented
135#14583143C2211yescharacteristic, complemented
136#14583142C2211yescharacteristic, complemented
137#14583142C2211yescharacteristic, complemented
138#14583130C2211yescharacteristic, complemented
139#14583128C2211yescharacteristic, complemented
140#14583126C2211yescharacteristic, complemented
141#14583103C2211yescharacteristic, complemented
142#14583102C2211yescharacteristic
143#14583102C2211yescharacteristic, complemented
144#14583102C2211yescharacteristic, complemented
145#14583098C2211yescharacteristic, complemented
146#14583098C2211yescharacteristic, complemented
147#14583097C2211yescharacteristic, complemented
148#14583097C2211yescharacteristic, complemented
149#14583096C2211yescharacteristic, complemented
150#14583051C2211yescharacteristic
151#14583050C2211yescharacteristic
152#14583050C2211yescharacteristic
153#14583048C2211yescharacteristic
154#14583028C2211yescharacteristic, complemented
155#14583027C2211yescharacteristic, complemented
156#14583001C2211yescharacteristic, complemented
157#14583000C2211yescharacteristic
158#14583000C2211yescharacteristic, complemented
159#14582999C2211yescharacteristic
160#14582997C2211yescharacteristic, complemented
161#14582996C2211yescharacteristic
162#14582996C2211yescharacteristic, complemented
163#14582990C2211yescharacteristic
164#14582990C2211yescharacteristic, complemented
165SD16×Dic43C2211yescharacteristic
166SD16×Dic43C2211yescharacteristic, complemented
167#14582975C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic, complemented
169#14582971C2211yescharacteristic, complemented
170#14582970C2211yescharacteristic, complemented
171#14582967C2211yescharacteristic, complemented
172#14582954C2211yescharacteristic, complemented
173#14582953C2211yescharacteristic, complemented
174#14582949C2211yescharacteristic, complemented
175#14582942C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179C2×#13063259C2211yescharacteristic, complemented
180C2×#13063258C2211yescharacteristic, complemented
181#14582922C2211yescharacteristic, complemented
182#14582921C2211yescharacteristic, complemented
183C2×Dic43⋊C8C2211yescharacteristic, complemented
184#14582904C2211yescharacteristic
185#14582902C2211yescharacteristic
186#14582902C2211yescharacteristic
187C2×#13063246C2211yescharacteristic
188C43×#552C2211yescharacteristic, complemented
189D42×C43C2211yescharacteristic
190C43×#490C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#468C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic
198C43×#450C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#435C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900—48no—
211C2×#10621900D411yescharacteristic
212C22×Dic86—21no—
213C22×Dic86—21no—
214C22×C22⋊D43—21no—
215C22×C22⋊D43—21no—
216C2×D4×D43C2311yescharacteristic
217C23×Dic43—21no—
218C23×Dic43—21no—
219C22×C4×D43—21no—
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324—21no—
232#13063324—21no—
233#13063324—21no—
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063317—21no—
252#13063317C2311yescharacteristic
253#13063316—21no—
254#13063316—21no—
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063312—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063309—21no—
270#13063309—21no—
271#13063309—21no—
272#13063308—21no—
273#13063307—21no—
274#13063307—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306—21no—
278#13063305—21no—
279#13063305C2311yescharacteristic
280#13063304—21no—
281#13063304C2311yescharacteristic
282#13063304C2311yescharacteristic
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063301C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063296—21no—
304#13063296—21no—
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063294—21no—
308#13063294—21no—
309#13063293—21no—
310#13063293—21no—
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290D411yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329C4×D172C2311yescharacteristic
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43D411yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43C2311yescharacteristic
346C4×C22⋊D43C2311yescharacteristic
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4D411yescharacteristic
351(C22⋊D43)⋊C4D411yescharacteristic
352#13063284—21no—
353#13063284C2311yescharacteristic
354#13063283D411yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063281—21no—
359#13063281—21no—
360#13063281—21no—
361#13063281—21no—
362#13063281D411yescharacteristic
363#13063281D411yescharacteristic
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×C4⋊Dic43C2311yescharacteristic
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43C2311yescharacteristic
369C2×C22⋊Dic43—21no—
370C2×C22⋊Dic43—21no—
371C22⋊C4×D43—21no—
372C2×C4×Dic43C2311yescharacteristic
373C2×C4×Dic43C2311yescharacteristic
374C42×D43C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428C22⋊(C43⋊C8)C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C22×D4×C43—21no—
437C22×D4×C43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444#127×C43C2311yescharacteristic
445#126×C43—21no—
446#125×C43—21no—
447#125×C43C2311yescharacteristic
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451#121×C43—21no—
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454#120×C43—21no—
455#120×C43—21no—
456C4×Q8×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C24×C43—21no—
480C24×C43—21no—
481C23×D43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—22no—
490C2×D4×C43—22no—
491C2×D4×C43—41no—
492C2×D4×C43—41no—
493C2×D4×C43—44no—
494C2×D4×C43C2×D411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
501C22×C4×C43C2411yescharacteristic
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—44no—
512C2×C22⋊D43—44no—
513C2×C22⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—44no—
526C22×Dic43—44no—
527C22×Dic43C2×D411yescharacteristic
528C22×Dic43C2×D411yescharacteristic
529C22×Dic43C2×D411yescharacteristic
530C22×Dic43C2×D411yescharacteristic
531#10621900—24no—
532#10621900—44no—
533#10621900—44no—
534#10621900—44no—
535#10621900—44no—
536#10621900—44no—
537#10621900—44no—
538#10621900—44no—
539D4×D43—22no—
540D4×D43—41no—
541C2×D172C2411yescharacteristic
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—44no—
546C2×C4×D43C2×D411yescharacteristic
547C2×C4×D43C2×D411yescharacteristic
548C2×C4×D43C2411yescharacteristic
549C2×Dic86—21no—
550C2×Dic86—21no—
551C2×Dic86—21no—
552C2×Dic86—21no—
553C2×Dic86—21no—
554C2×Dic86—21no—
555C2×Dic86—21no—
556C2×Dic86—21no—
557C2×Dic86—44no—
558C2×Dic86—44no—
559C2×Dic86C2×D411yescharacteristic
560C2×Dic86C2411yescharacteristic
561SD16×C43—22no—
562SD16×C43—41no—
563SD16×C43—41no—
564M16×C43—41no—
565C2×C8×C43—41no—
566C2×C8×C43C2411yescharacteristic
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43C2×D411yescharacteristic
588C22⋊C4×C43C2×D411yescharacteristic
589C42×C43—21no—
590C42×C43—21no—
591C42×C43C2411yescharacteristic
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606#10621884—41no—
607#10621883—22no—
608#10621883—41no—
609#10621883—41no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677#10621877—41no—
678C2×C43⋊C8—41no—
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683#10621873—41no—
684#10621872—41no—
685#10621872—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—42no—
690C23×C43—42no—
691C23×C43—42no—
692C23×C43—42no—
693C23×C43—81no—
694C23×C43—81no—
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—42no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704D4×C43—22no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—42no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—42no—
714D4×C43—42no—
715D4×C43—81no—
716D4×C432−1+412yes—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—42no—
727C2×C4×C43—42no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—22no—
734C22⋊D43—22no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C2×Dic43—22no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—41no—
753C2×Dic43—41no—
754C2×Dic43—42no—
755C2×Dic43—42no—
756C2×Dic43—42no—
757C2×Dic43—42no—
758C2×Dic43—42no—
759C2×Dic43—42no—
760C2×Dic43—42no—
761C2×Dic43—42no—
762C2×Dic43—42no—
763C2×Dic43—42no—
764C2×Dic43AGL(1,ℤ/8)14yes—
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772D172—21no—
773D172—21no—
774C4×D43—21no—
775C4×D43—21no—
776C4×D43—22no—
777C4×D43—41no—
778C4×D43—42no—
779C4×D43—42no—
780C4×D43—42no—
781Dic86—22no—
782Dic86—21no—
783Dic86—21no—
784Dic86—42no—
785Dic86—42no—
786Dic86—42no—
787Dic86—42no—
788Dic86—42no—
789Dic86—42no—
790Dic86—42no—
791Dic86—42no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8—21no—
799C43⋊C8—21no—
800#62109—431nomaximal, Sylow
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—22no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—84no—
816C22×C43—84no—
817C22×C43C2×AGL(1,ℤ/8)12yes—
818C22×C43C23×D411yescharacteristic
819C2×D43—21no—
820C2×D43—21no—
821C2×D43—21no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—84no—
826C4×C43—21no—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43C2×2−1+411yescharacteristic
836C4×C43#58511yescharacteristic
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—21no—
841Dic43—21no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43C2×AGL(1,ℤ/8)12yes—
850Dic43C2×AGL(1,ℤ/8)12yes—
851#3509—431no—
852D4×#41—431no—
853#3386—431no—
854#3386—431no—
855#3368—431no—
856#3368—431no—
857#3353—431no—
858#3353—431no—
859#3343—431no—
860#3343—431no—
861#3343—431no—
862#3343—431no—
863#3324—431no—
864#3324—431no—
865#3310—431no—
866#3310—431no—
867#3310—431no—
868#3310D4311yescharacteristic, complemented
869#3254—431no—
870#3254—431no—
871#3246—431no—
872#3235—431no—
873#3235—431no—
874#3226—431no—
875#3110—431no—
876#3110—431no—
877#3101—431no—
878#3077—431no—
879#3077—431no—
880C2×#474—431no—
881#2989—431no—
882C2×C43—22no—
883C2×C43—42no—
884C2×C43—41no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43#348911yescharacteristic
888C2×C43C22×AGL(1,ℤ/8)11yescharacteristic
889C2×C43#358611yescharacteristic
890D43—41no—
891D43—81no—
892C22×#41—861no—
893#557—431no—
894#557—431no—
895#557—861no—
896#556—431no—
897#556—431no—
898#556—861no—
899#552—431no—
900#552—431no—
901#552—431no—
902#552—861no—
903#552—861no—
904#552C2×D4311yescharacteristic, complemented
905#550—431no—
906D4×Q8—431no—
907#548—861no—
908#547—431no—
909#547—431no—
910#547—431no—
911#546—861no—
912#546—861no—
913#546—861no—
914D42—431no—
915D42—431no—
916D42C2×D4311yescharacteristic
917#541—861no—
918#541—861no—
919#536—861no—
920#533—431no—
921#533—431no—
922#533—431no—
923#533—431no—
924#533—431no—
925#532—431no—
926#532—431no—
927#532—431no—
928C2×C4⋊Q8—431no—
929#525—861no—
930#525—861no—
931#525—861no—
932#519—861no—
933C4×#41—431no—
934C2×C4×D4—431no—
935C2×C4×D4—431no—
936C2×C4×D4—431no—
937#501—431no—
938#501—431no—
939#501—431no—
940#501—431no—
941#500—431no—
942#500—431no—
943#490—431no—
944#490—431no—
945#490—431no—
946#490C2×D4311yescharacteristic, complemented
947#486—431no—
948#486—431no—
949#484—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#483—431no—
954#483—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482—431no—
961#482—431no—
962#482C2×D4311yescharacteristic, complemented
963#480—431no—
964#480—431no—
965#480—431no—
966#480C2×D4311yescharacteristic, complemented
967#478—431no—
968#478—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478C2×D4311yescharacteristic
975#477—431no—
976#477—431no—
977#477—431no—
978#477—431no—
979#476—431no—
980#476—431no—
981#476—431no—
982#476—431no—
983#475—431no—
984#475—431no—
985#474—431no—
986#474—431no—
987#474—431no—
988#474—431no—
989#474—431no—
990#474—431no—
991#474—431no—
992#474—431no—
993#474—431no—
994#474—431no—
995#474—431no—
996#474—431no—
997#468—431no—
998#468—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#468C2×D4311yescharacteristic, complemented
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#465C2×D4311yescharacteristic, complemented
1009#461—431no—
1010#461—431no—
1011#461—431no—
1012#461—431no—
1013#460—431no—
1014#460—431no—
1015#460—431no—
1016#460—431no—
1017#460—431no—
1018#460C2×D4311yescharacteristic, complemented
1019#450—431no—
1020#450—431no—
1021#450—431no—
1022#450—431no—
1023#450C2×D4311yescharacteristic
1024#450C2×D4311yescharacteristic
1025#446—431no—
1026#446—431no—
1027#440—431no—
1028#440—431no—
1029#440—431no—
1030#440—431no—
1031#440—431no—
1032#440—431no—
1033#440—431no—
1034#440C2×D4311yescharacteristic
1035C4×SD16—431no—
1036C4×SD16—431no—
1037C4×SD16—431no—
1038C4×SD16—431no—
1039#436—431no—
1040#436—431no—
1041#435—431no—
1042#435—431no—
1043#435—431no—
1044#435C2×D4311yescharacteristic, complemented
1045#432—431no—
1046#432—431no—
1047#431—431no—
1048#428—431no—
1049#428—431no—
1050#428—431no—
1051#428—431no—
1052C2×#107—431no—
1053C2×#107—431no—
1054#423—431no—
1055#423—431no—
1056C2×C4⋊C8—431no—
1057#418—431no—
1058#418—431no—
1059#418—431no—
1060#418C2×D4311yescharacteristic
1061C2×#102—431no—
1062C2×#102C2×D4311yescharacteristic
1063C43#6210911yescharacteristic, complemented, Sylow
1064C2×#41—431no—
1065C2×#41—861no—
1066C2×#41—861no—
1067C2×#41—861no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41—861no—
1071C2×#41—861no—
1072C2×#41—1728no—
1073C22×Q8—861no—
1074C22×Q8—861no—
1075C22×D4—21no—
1076C22×D4—431no—
1077C22×D4—861no—
1078C22×D4—861no—
1079C22×D4C22×D4311yescharacteristic
1080C22×D4C22×D4311yescharacteristic
1081C23×C4—861no—
1082C23×C4—861no—
1083C23×C4—861no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16—431no—
1088C2×SD16—431no—
1089C2×SD16C22×D4311yescharacteristic
1090C2×SD16C22×D4311yescharacteristic
1091C2×SD16C22×D4311yescharacteristic
1092C2×M16—431no—
1093C2×M16—431no—
1094C2×M16—431no—
1095C2×M16C22×D4311yescharacteristic
1096C22×C8—431no—
1097C22×C8C22×D4311yescharacteristic
1098C4⋊Q8—431no—
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—431no—
1104C4⋊Q8—431no—
1105C4⋊Q8—431no—
1106C4⋊Q8—431no—
1107C4⋊Q8—861no—
1108C4⋊Q8—861no—
1109C4⋊Q8—861no—
1110C4⋊Q8—861no—
1111#127—431no—
1112#127—431no—
1113#127C22×D4311yescharacteristic
1114#126—21no—
1115#126—861no—
1116#126—861no—
1117#126—861no—
1118#126—861no—
1119#126—861no—
1120#126—861no—
1121#126—861no—
1122#125—21no—
1123#125—431no—
1124#125—431no—
1125#125—431no—
1126#125—861no—
1127#125—861no—
1128#125—861no—
1129#125—861no—
1130#125—861no—
1131#125—861no—
1132#125—861no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125C22×D4311yescharacteristic
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124—861no—
1141#124—861no—
1142#123—21no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8C22×D4311yescharacteristic
1170C22⋊Q8C22×D4311yescharacteristic
1171#121—21no—
1172#121—431no—
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121C22×D4311yescharacteristic
1185#121C22×D4311yescharacteristic
1186#120—21no—
1187#120—21no—
1188#120—861no—
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×Q8C22×D4311yescharacteristic
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—431no—
1224C4×D4—431no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4C22×D4311yescharacteristic
1235C4×D4C22×D4311yescharacteristic
1236#117—21no—
1237#117—431no—
1238#117—431no—
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117C22×D4311yescharacteristic
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4—861no—
1257C2×C22⋊C4—861no—
1258C2×C22⋊C4—861no—
1259C2×C42—431no—
1260C2×C42—431no—
1261C2×C42—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107C22×D4311yescharacteristic
1277#107C22×D4311yescharacteristic
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106C22×D4311yescharacteristic
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289C4⋊C8—431no—
1290C4⋊C8—431no—
1291C4⋊C8—431no—
1292C4⋊C8—431no—
1293C4⋊C8—431no—
1294C4⋊C8—431no—
1295C4⋊C8C22×D4311yescharacteristic
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103C22×D4311yescharacteristic
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325#102C22×D4311yescharacteristic
1326#102C22×D4311yescharacteristic
1327#102C22×D4311yescharacteristic
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8—431no—
1332C22⋊C8C22×D4311yescharacteristic
1333C22⋊C8C22×D4311yescharacteristic
1334#97—431no—
1335#97—431no—
1336#97—431no—
1337#97C22×D4311yescharacteristic
1338C4×C8—431no—
1339C4×C8—431no—
1340C24—21no—
1341C24—21no—
1342C24—861no—
1343#41—864no—
1344#41—1724no—
1345#41—1724no—
1346#41—1724no—
1347#41—1724no—
1348#41—1724no—
1349#41—1724no—
1350#41—1724no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—861no—
1357C2×Q8—861no—
1358C2×Q8—861no—
1359C2×Q8—861no—
1360C2×Q8—861no—
1361C2×Q8—1724no—
1362C2×Q8—1724no—
1363C2×Q8C23×D4311yescharacteristic
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—44no—
1375C2×D4—431no—
1376C2×D4—431no—
1377C2×D4—431no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—862no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—1721no—
1389C2×D4—1724no—
1390C2×D4—1724no—
1391C2×D4D4×D4311yescharacteristic
1392C2×D4C23×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C2×D4C23×D4311yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415C22×C4—861no—
1416C22×C4—861no—
1417C22×C4—1724no—
1418C22×C4—1724no—
1419C22×C4—1724no—
1420C22×C4C23×D4311yescharacteristic
1421C22×C4C23×D4311yescharacteristic
1422SD16—22no—
1423SD16—41no—
1424SD16—41no—
1425SD16—862no—
1426SD16—1721no—
1427SD16—1721no—
1428SD16—1721no—
1429SD16—1721no—
1430M16—41no—
1431M16—1721no—
1432M16—1721no—
1433M16—1721no—
1434C2×C8—41no—
1435C2×C8—431no—
1436C2×C8—431no—
1437C2×C8—431no—
1438C2×C8—431no—
1439C2×C8—1721no—
1440C2×C8C23×D4311yescharacteristic
1441C2×C8C23×D4311yescharacteristic
1442C2×C8C23×D4311yescharacteristic
1443C2×C8C23×D4311yescharacteristic
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
1490C4⋊C4D4×D4311yescharacteristic
1491C4⋊C4C23×D4311yescharacteristic
1492C4⋊C4C23×D4311yescharacteristic
1493C4⋊C4C23×D4311yescharacteristic
1494C4⋊C4C23×D4311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
1504C22⋊C4—431no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4D4×D4311yescharacteristic
1526C22⋊C4D4×D4311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—431no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42—861no—
1546C42C23×D4311yescharacteristic
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—42no—
1551C23—42no—
1552C23—42no—
1553C23—42no—
1554C23—81no—
1555C23—81no—
1556C23—431no—
1557C23—861no—
1558C23—3441no—
1559C23—1722no—
1560C23—1722no—
1561C23C2×D4×D4311yescharacteristic
1562C23C2×D4×D4311yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—862no—
1566Q8—861no—
1567Q8—861no—
1568Q8—1722no—
1569Q8—1722no—
1570Q8—1722no—
1571Q8—1722no—
1572Q8—1722no—
1573Q8—1722no—
1574Q8—1722no—
1575Q8—1722no—
1576D4—22no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—42no—
1586D4—42no—
1587D4—81no—
1588D4—862no—
1589D4—862no—
1590D4—861no—
1591D4—861no—
1592D4—3441no—
1593D4—3441no—
1594D4—1722no—
1595D4—1722no—
1596D4—1722no—
1597D4—1722no—
1598D4—1722no—
1599D4—1722no—
1600D4—1722no—
1601D4#1306337212yes—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—434no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—431no—
1617C2×C4—431no—
1618C2×C4—431no—
1619C2×C4—431no—
1620C2×C4—431no—
1621C2×C4—862no—
1622C2×C4—862no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—1721no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4—1722no—
1639C2×C4—1722no—
1640C2×C4—1722no—
1641C2×C4—1721no—
1642C2×C4—1721no—
1643C2×C4—1722no—
1644C2×C4—1722no—
1645C2×C4—1722no—
1646C2×C4—1722no—
1647C2×C4—1722no—
1648C2×C4C2×D4×D4311yescharacteristic
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C24×D4311yescharacteristic
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—861no—
1658C8—861no—
1659C8—861no—
1660C8—861no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—22no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—84no—
1676C22—84no—
1677C22—861no—
1678C22—861no—
1679C22—861no—
1680C22—3444no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22AGL(1,ℤ/8)×D4312yes—
1685C22C22×D4×D4311yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—432no—
1696C4—432no—
1697C4—861no—
1698C4—861no—
1699C4—861no—
1700C4—861no—
1701C4—861no—
1702C4—1721no—
1703C4—1721no—
1704C4—1721no—
1705C4—1721no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4C2×#1306337211yescharacteristic
1710C4#1458373411yescharacteristic
1711C2—22no—
1712C2—41no—
1713C2—42no—
1714C2—81no—
1715C2—81no—
1716C2—3441no—
1717C2—1721no—
1718C2#1914826611yescharacteristic
1719C2C2×AGL(1,ℤ/8)×D4311yescharacteristic
1720C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3310C2
socleC22×C43C23×D4
prime radicalD4×#10621900C2
hypercenter#3310D43
hypocenterC43#62109
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #19148473C2semidirect
3. #19147517C2semidirect
4. #19147511C2semidirect
5. #19147321C2semidirect
6. #19147319C2semidirect
7. #19147177C2semidirect
8. #19147174C2semidirect
9. #19147041C2semidirect
10. #19147039C2semidirect
11. #19147037C2semidirect
12. #19147035C2semidirect
13. #19146822C2semidirect
14. #19146819C2semidirect
15. #19146620C2semidirect
16. #19146616C2semidirect
17. #19146612C2semidirect
18. #19145980C2semidirect
19. #19145977C2semidirect
20. #19145906C2semidirect
21. #19145790C2semidirect
22. #19145788C2semidirect
23. #19145714C2semidirect
24. #19144692C2semidirect
25. #19144689C2semidirect
26. #19144598C2semidirect
27. #19144390C2semidirect
28. #19144389C2semidirect
29. C2×#14583177C2semidirect
30. #19143707C2semidirect
31. C43×#3310C2semidirect
34. #14583626C22semidirect
35. #14583625C22semidirect
36. #14583620C22semidirect
37. #14583617C22semidirect
39. #14583591C22semidirect
40. #14583589C22semidirect
42. #14583584C22semidirect
58. #14583455C22semidirect
59. #14583453C22semidirect
60. #14583452C22semidirect
61. #14583451C22semidirect
62. #14583451C22semidirect
66. C2×#13063324C22semidirect
75. #14583309C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583303C22semidirect
81. #14583263C22semidirect
82. #14583262C22semidirect
83. #14583262C22semidirect
84. #14583244C22semidirect
85. #14583244C22semidirect
86. #14583236C22semidirect
87. #14583235C22semidirect
88. #14583233C22semidirect
89. #14583232C22semidirect
90. #14583230C22semidirect
91. #14583227C22semidirect
92. #14583224C22semidirect
93. #14583223C22semidirect
94. #14583222C22semidirect
95. #14583222C22semidirect
96. #14583221C22semidirect
97. #14583221C22semidirect
98. #14583220C22semidirect
99. #14583213C22semidirect
100. #14583212C22semidirect
101. #14583210C22semidirect
103. #14583201C22semidirect
104. #14583200C22semidirect
107. #14583197C22semidirect
108. #14583196C22semidirect
109. #14583195C22semidirect
110. #14583194C22semidirect
111. #14583193C22semidirect
112. #14583192C22semidirect
113. #14583188C22semidirect
115. #14583187C22semidirect
116. #14583187C22semidirect
117. #14583183C22semidirect
118. #14583182C22semidirect
119. #14583178C22semidirect
120. #14583178C22semidirect
125. #14583177C22semidirect
126. #14583177C22semidirect
127. #14583177C22semidirect
128. #14583177C22semidirect
129. #14583177C22semidirect
130. #14583177C22semidirect
131. #14583147C22semidirect
132. #14583145C22semidirect
133. #14583144C22semidirect
134. #14583144C22semidirect
135. #14583143C22semidirect
136. #14583142C22semidirect
137. #14583142C22semidirect
138. #14583130C22semidirect
139. #14583128C22semidirect
140. #14583126C22semidirect
141. #14583103C22semidirect
143. #14583102C22semidirect
144. #14583102C22semidirect
145. #14583098C22semidirect
146. #14583098C22semidirect
147. #14583097C22semidirect
148. #14583097C22semidirect
149. #14583096C22semidirect
154. #14583028C22semidirect
155. #14583027C22semidirect
156. #14583001C22semidirect
158. #14583000C22semidirect
160. #14582997C22semidirect
162. #14582996C22semidirect
164. #14582990C22semidirect
166. SD16×Dic43C22semidirect
167. #14582975C22semidirect
168. #14582974C22semidirect
169. #14582971C22semidirect
170. #14582970C22semidirect
171. #14582967C22semidirect
172. #14582954C22semidirect
173. #14582953C22semidirect
174. #14582949C22semidirect
175. #14582942C22semidirect
176. #14582941C22semidirect
177. #14582940C22semidirect
178. #14582938C22semidirect
179. C2×#13063259C22semidirect
180. C2×#13063258C22semidirect
181. #14582922C22semidirect
182. #14582921C22semidirect
183. C2×Dic43⋊C8C22semidirect
188. C43×#552C22semidirect
190. C43×#490C22semidirect
191. C43×#482C22semidirect
192. C43×#480C22semidirect
194. C43×#468C22semidirect
195. C43×#465C22semidirect
196. C43×#460C22semidirect
200. C43×#435C22semidirect
868. #3310D43semidirect
904. #552C2×D43semidirect
946. #490C2×D43semidirect
962. #482C2×D43semidirect
966. #480C2×D43semidirect
1004. #468C2×D43semidirect
1008. #465C2×D43semidirect
1018. #460C2×D43semidirect
1044. #435C2×D43semidirect
1063. C43#62109semidirect

Maximal subgroups

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

subgroupindex
#191484732
D4×#106219002
#191475172
#191475112
#191473212
#191473192
#191471772
#191471742
#191470412
#191470392
#191470372
#191470352
#191468222
#191468192
#191466202
#191466162
#191466122
#191459802
#191459772
#191459062
#191457902
#191457882
#191457142
#191446922
#191446892
#191445982
#191443902
#191443892
C2×#145831772
#191437072
C43×#33102
#6210943