Finite Group Databasebeta

← #25968951

Subgroups — #25968951

Order 11008.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147999C211yesmaximal, characteristic, complemented
2#540×D43C211yesmaximal, characteristic
3#19145855C211yesmaximal, characteristic, complemented
4#19145854C211yesmaximal, characteristic, complemented
5#19145853C211yesmaximal, characteristic, complemented
6#19145852C211yesmaximal, characteristic, complemented
7#19145851C211yesmaximal, characteristic, complemented
8#19145850C211yesmaximal, characteristic, complemented
9#19145849C211yesmaximal, characteristic, complemented
10#19145848C211yesmaximal, characteristic, complemented
11#19145847C211yesmaximal, characteristic, complemented
12#19145846C211yesmaximal, characteristic, complemented
13#19145845C211yesmaximal, characteristic, complemented
14#19145844C211yesmaximal, characteristic, complemented
15#19145843C211yesmaximal, characteristic, complemented
16#19145842C211yesmaximal, characteristic, complemented
17#19145841C211yesmaximal, characteristic, complemented
18#19145146C211yesmaximal, characteristic, complemented
19#19145143C211yesmaximal, characteristic, complemented
20#19144968C211yesmaximal, characteristic, complemented
21#19144966C211yesmaximal, characteristic, complemented
22#19144534C211yesmaximal, characteristic, complemented
23#19144534C211yesmaximal, characteristic, complemented
24#19144532C211yesmaximal, characteristic, complemented
25#19144530C211yesmaximal, characteristic, complemented
26#19144393C211yesmaximal, characteristic, complemented
27#19144390C211yesmaximal, characteristic, complemented
28#19144390C211yesmaximal, characteristic, complemented
29#19144387C211yesmaximal, characteristic, complemented
30#19143229C211yesmaximal, characteristic, complemented
31C43×#3241C211yesmaximal, characteristic, complemented
32#14583530C2211yescharacteristic, complemented
33#14583529—21no—
34#14583529C2211yescharacteristic, complemented
35#14583529C2211yescharacteristic, complemented
36#14583527C2211yescharacteristic, complemented
37#14583527C2211yescharacteristic, complemented
38#14583526—21no—
39#14583526C2211yescharacteristic, complemented
40#14583526C2211yescharacteristic, complemented
41#14583524—21no—
42#14583524—21no—
43#14583505C2211yescharacteristic
44#14583504C2211yescharacteristic
45#14583503C2211yescharacteristic
46#14583502C2211yescharacteristic
47#14583502C2211yescharacteristic
48#14583501—21no—
49#14583501—21no—
50#14583500C2211yescharacteristic
51#14583500C2211yescharacteristic
52#14583499—21no—
53#14583499—21no—
54#14583455—21no—
55#14583455C2211yescharacteristic
56#14583455C2211yescharacteristic
57#14583454—21no—
58#14583454C2211yescharacteristic
59#14583454C2211yescharacteristic
60#14583451—21no—
61#14583451—21no—
62#127×D43C2211yescharacteristic
63#125×D43C2211yescharacteristic
64#123×D43—21no—
65#123×D43—21no—
66#121×D43—21no—
67#121×D43—21no—
68#121×D43C2211yescharacteristic
69#121×D43C2211yescharacteristic
70C4×D4×D43C2211yescharacteristic
71C4×D4×D43C2211yescharacteristic
72C2×#13063283C2211yescharacteristic
73#117×D43C2211yescharacteristic
74#117×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583300C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583299C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583298C2211yescharacteristic, complemented
89#14583265C2211yescharacteristic, complemented
90#14583264C2211yescharacteristic, complemented
91#14583263C2211yescharacteristic, complemented
92#14583262C2211yescharacteristic, complemented
93#14583262C2211yescharacteristic, complemented
94#14583262C2211yescharacteristic, complemented
95#14583262C2211yescharacteristic, complemented
96#14583247C2211yescharacteristic, complemented
97#14583246C2211yescharacteristic, complemented
98#14583245C2211yescharacteristic, complemented
99#14583244C2211yescharacteristic, complemented
100#14583244C2211yescharacteristic, complemented
101#14583244C2211yescharacteristic, complemented
102#14583244C2211yescharacteristic, complemented
103#14583226C2211yescharacteristic, complemented
104#14583226C2211yescharacteristic, complemented
105#14583225C2211yescharacteristic, complemented
106#14583225C2211yescharacteristic, complemented
107#14583224C2211yescharacteristic, complemented
108#14583224C2211yescharacteristic, complemented
109#14583223C2211yescharacteristic, complemented
110#14583223C2211yescharacteristic, complemented
111#14583222C2211yescharacteristic, complemented
112#14583222C2211yescharacteristic, complemented
113#14583221C2211yescharacteristic, complemented
114#14583221C2211yescharacteristic, complemented
115#14583220C2211yescharacteristic, complemented
116#14583220C2211yescharacteristic, complemented
117#14583219C2211yescharacteristic, complemented
118#14583219C2211yescharacteristic, complemented
119#14583218C2211yescharacteristic, complemented
120#14583217C2211yescharacteristic, complemented
121#14583216C2211yescharacteristic, complemented
122#14583216C2211yescharacteristic, complemented
123#14583215C2211yescharacteristic, complemented
124#14583214C2211yescharacteristic, complemented
125#14583214C2211yescharacteristic, complemented
126#14583213C2211yescharacteristic, complemented
127#14583212C2211yescharacteristic, complemented
128#14583211C2211yescharacteristic, complemented
129#14583211C2211yescharacteristic, complemented
130#14583210C2211yescharacteristic, complemented
131#14583202C2211yescharacteristic, complemented
132#14583202C2211yescharacteristic, complemented
133#14583201C2211yescharacteristic, complemented
134#14583201C2211yescharacteristic, complemented
135#14583200C2211yescharacteristic, complemented
136#14583200C2211yescharacteristic, complemented
137#14583199C2211yescharacteristic, complemented
138#14583199C2211yescharacteristic, complemented
139#14583198C2211yescharacteristic, complemented
140#14583198C2211yescharacteristic, complemented
141#14583197C2211yescharacteristic, complemented
142#14583197C2211yescharacteristic, complemented
143#14583196C2211yescharacteristic, complemented
144#14583196C2211yescharacteristic, complemented
145#14583190C2211yescharacteristic, complemented
146#14583189C2211yescharacteristic, complemented
147#14583188C2211yescharacteristic, complemented
148#14583188C2211yescharacteristic, complemented
149#14583187C2211yescharacteristic, complemented
150#14583187C2211yescharacteristic, complemented
151#14583186C2211yescharacteristic, complemented
152#14583180C2211yescharacteristic, complemented
153#14583179C2211yescharacteristic, complemented
154#14583178C2211yescharacteristic, complemented
155#14583178C2211yescharacteristic, complemented
156#14583177C2211yescharacteristic, complemented
157#14583177C2211yescharacteristic, complemented
158#14583176C2211yescharacteristic, complemented
159#14582961C2211yescharacteristic, complemented
160#14582960C2211yescharacteristic, complemented
161#14582959C2211yescharacteristic, complemented
162#14582959C2211yescharacteristic, complemented
163#14582958C2211yescharacteristic, complemented
164#14582957C2211yescharacteristic, complemented
165#14582957C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582940C2211yescharacteristic
169#14582940C2211yescharacteristic
170#14582938C2211yescharacteristic
171#14582938C2211yescharacteristic
172#14582938C2211yescharacteristic
173#14582938C2211yescharacteristic
174#14582921C2211yescharacteristic
175#14582921C2211yescharacteristic
176#14582902C2211yescharacteristic
177#14582902C2211yescharacteristic
178#14582902C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#14582902C2211yescharacteristic
184#14582861C2211yescharacteristic
185#14582861C2211yescharacteristic
186#14582851C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#544C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#499C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#482C2211yescharacteristic, complemented
195C43×#482C2211yescharacteristic, complemented
196C43×#481C2211yescharacteristic, complemented
197C43×#480C2211yescharacteristic, complemented
198C43×#478C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic, complemented
200C43×#476C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×D4×D43—21no—
204C2×D4×D43—21no—
205C2×D4×D43—21no—
206C2×D4×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210C22×C4×D43—21no—
211C22×C4×D43C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216#13063325—21no—
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323—21no—
229#13063322C2311yescharacteristic
230#13063321—21no—
231#13063321—21no—
232#13063321C2311yescharacteristic
233#13063321C2311yescharacteristic
234#13063317—21no—
235#13063317C2311yescharacteristic
236#13063317C2311yescharacteristic
237#13063317C2311yescharacteristic
238#13063316—21no—
239#13063316—21no—
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063310—21no—
253#13063310—21no—
254#13063310—21no—
255#13063310—21no—
256#13063309—21no—
257#13063309—21no—
258#13063308—21no—
259#13063308—21no—
260#13063307—21no—
261#13063307—21no—
262#13063307—21no—
263#13063307—21no—
264#13063306—21no—
265#13063306—21no—
266#13063305—21no—
267#13063305—21no—
268#13063305—21no—
269#13063305—21no—
270#13063304—21no—
271#13063304—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063301—21no—
285#13063301—21no—
286#13063301—21no—
287#13063301—21no—
288#13063300—21no—
289#13063300—21no—
290#13063300C2311yescharacteristic
291#13063300C2311yescharacteristic
292#13063299—21no—
293#13063299—21no—
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312Q8×Dic43—21no—
313Q8×Dic43—21no—
314#13063290—21no—
315#13063290—21no—
316#13063290—21no—
317#13063290—21no—
318#13063290—21no—
319#13063290—21no—
320C4×D172C2311yescharacteristic
321C4×D172C2311yescharacteristic
322D4×Dic43C2311yescharacteristic
323D4×Dic43C2311yescharacteristic
324#13063287C2311yescharacteristic
325#13063287C2311yescharacteristic
326C4×C22⋊D43—21no—
327C4×C22⋊D43—21no—
328(C22⋊D43)⋊C4—21no—
329(C22⋊D43)⋊C4—21no—
330#13063284C2311yescharacteristic
331#13063284C2311yescharacteristic
332#13063283—21no—
333#13063283—21no—
334#13063283D411yescharacteristic
335#13063283D411yescharacteristic
336#13063283C2311yescharacteristic
337#13063283C2311yescharacteristic
338#13063283C2311yescharacteristic
339#13063283C2311yescharacteristic
340#13063283C2311yescharacteristic
341#13063283C2311yescharacteristic
342#13063282—21no—
343#13063282C2311yescharacteristic
344#13063282C2311yescharacteristic
345#13063281—21no—
346#13063281D411yescharacteristic
347#13063281D411yescharacteristic
348C2×C4⋊Dic43C2311yescharacteristic
349C4⋊C4×D43—21no—
350C4⋊C4×D43—21no—
351C4⋊C4×D43D411yescharacteristic
352C4⋊C4×D43D411yescharacteristic
353C4⋊C4×D43C2311yescharacteristic
354C4⋊C4×D43C2311yescharacteristic
355C4⋊C4×D43C2311yescharacteristic
356C4⋊C4×D43C2311yescharacteristic
357C2×(C2×D43)⋊C4—21no—
358C22⋊C4×D43—21no—
359C22⋊C4×D43—21no—
360C22⋊C4×D43—21no—
361C22⋊C4×D43—21no—
362C22⋊C4×D43—21no—
363C22⋊C4×D43D411yescharacteristic
364C22⋊C4×D43D411yescharacteristic
365C2×C4×Dic43—21no—
366C42×D43—21no—
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063247C2311yescharacteristic
400#13063247C2311yescharacteristic
401#13063247C2311yescharacteristic
402#13063247C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063246C2311yescharacteristic
408#13063246C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438#127×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#123×C43—21no—
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480C23×D43C2×D411yescharacteristic
481C2×Q8×C43—21no—
482C2×Q8×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
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⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43C2×D411yescharacteristic
507D4×D43—22no—
508D4×D43—22no—
509D4×D43—22no—
510D4×D43—22no—
511D4×D43—82no—
512D4×D43—82no—
513D4×D43—82no—
514D4×D43—82no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172C2411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—82no—
532C2×C4×D43—82no—
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43C2×D411yescharacteristic
574C22⋊C4×C43C2×D411yescharacteristic
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C42×C43C2411yescharacteristic
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4C2×D411yescharacteristic
600(C2×D43)⋊C4C2×D411yescharacteristic
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43C2×D411yescharacteristic
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2×D411yescharacteristic
654C4×Dic43C2×D411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661#10621872—22no—
662#10621872—22no—
663#10621872—22no—
664#10621872—22no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43C22×D411yescharacteristic
668C22×D43—22no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—41no—
672C22×D43—41no—
673C22×D43—42no—
674C22×D43—42no—
675C22×D43—42no—
676C22×D43—42no—
677C22×D43—42no—
678C22×D43—42no—
679C22×D43C22×D411yescharacteristic
680C22×D43C22×D411yescharacteristic
681Q8×C43—81no—
682Q8×C43—81no—
683D4×C43—21no—
684D4×C43—21no—
685D4×C43—21no—
686D4×C43—21no—
687D4×C43—81no—
688D4×C43—81no—
689D4×C43—81no—
690D4×C43—81no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—81no—
700C2×C4×C43—81no—
701C2×C4×C43—81no—
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C2511yescharacteristic
708C22⋊D43—42no—
709C22⋊D43—42no—
710C22⋊D43—81no—
711C22⋊D43—81no—
712C22⋊D43—81no—
713C22⋊D43—81no—
714C22⋊D43—81no—
715C22⋊D43—81no—
716C22⋊D43—81no—
717C22⋊D43—81no—
718C2×Dic43—22no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—81no—
726C2×Dic43—81no—
727C2×Dic43—81no—
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734D172—21no—
735D172—21no—
736D172—21no—
737D172—21no—
738D172—81no—
739D172—81no—
740D172—81no—
741D172—81no—
742C4×D43—22no—
743C4×D43—21no—
744C4×D43—21no—
745C4×D43—22no—
746C4×D43—41no—
747C4×D43—41no—
748C4×D43—41no—
749C4×D43—41no—
750C4×D43—42no—
751C4×D43—42no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D432−1+412yes—
759C4×D432−1+412yes—
760Dic86—81no—
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#60868—431nomaximal, Sylow
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43C23×D411yescharacteristic
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—82no—
797C2×D43—84no—
798C2×D43—84no—
799C2×D43#53612yes—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—21no—
804C4×C43—21no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43C2×2−1+411yescharacteristic
812C4×C43C2×2−1+411yescharacteristic
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824Dic43#53612yes—
825#3458—431no—
826C2×#540—431no—
827#3241—431no—
828#3241—431no—
829#3241—431no—
830#3241—431no—
831#3241—431no—
832#3241—431no—
833#3241—431no—
834#3241—431no—
835#3241—431no—
836#3241—431no—
837#3241—431no—
838#3241—431no—
839#3241—431no—
840#3241—431no—
841#3241—431no—
842#3241D4311yescharacteristic, complemented
843#3166—431no—
844#3166—431no—
845#3138—431no—
846#3138—431no—
847#3094—431no—
848#3094—431no—
849#3094—431no—
850#3094—431no—
851#3077—431no—
852#3077—431no—
853#3077—431no—
854#3077—431no—
855#2921—431no—
856C2×C43—41no—
857C2×C43—81no—
858C2×C43—81no—
859C2×C43C2×#53611yescharacteristic
860C2×C43#358511yescharacteristic
861C2×C43#358511yescharacteristic
862D43—22no—
863D43—41no—
864D43—81no—
865D43—81no—
866#544—431no—
867#544—431no—
868#544—431no—
869#544—431no—
870#544—431no—
871#544—431no—
872#544—431no—
873#544—861no—
874#544—861no—
875#544C2×D4311yescharacteristic, complemented
876#543—861no—
877#543—861no—
878#540—431no—
879#540—431no—
880#540—431no—
881#540—431no—
882#540—431no—
883#540—431no—
884#540—431no—
885#540—861no—
886#540—861no—
887#540—861no—
888#540—861no—
889#540C2×D4311yescharacteristic
890#533—431no—
891#533—431no—
892#533—431no—
893#533—431no—
894#533—861no—
895#533—861no—
896#533—861no—
897#533—861no—
898C2×#127—431no—
899C2×#125—431no—
900C2×#123—861no—
901C2×#123—861no—
902C2×#121—431no—
903C2×#121—431no—
904C2×#121—861no—
905C2×#121—861no—
906C2×C4×D4—431no—
907C2×C4×D4—431no—
908C2×#117—431no—
909C2×#117—431no—
910C2×#117—431no—
911#501—431no—
912#501—431no—
913#501—431no—
914#501—431no—
915#501—431no—
916#501—431no—
917#501—431no—
918#501C2×D4311yescharacteristic, complemented
919#499—431no—
920#499—431no—
921#499—431no—
922#499—431no—
923#499—431no—
924#499—431no—
925#499—431no—
926#499C2×D4311yescharacteristic, complemented
927#490—431no—
928#490—431no—
929#490—431no—
930#490—431no—
931#490—431no—
932#490—431no—
933#490—431no—
934#490C2×D4311yescharacteristic, complemented
935#486—431no—
936#486—431no—
937#486—431no—
938#486—431no—
939#486—431no—
940#486—431no—
941#486—431no—
942#486C2×D4311yescharacteristic, complemented
943#482—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482C2×D4311yescharacteristic, complemented
958#482C2×D4311yescharacteristic, complemented
959#481—431no—
960#481—431no—
961#481—431no—
962#481—431no—
963#481—431no—
964#481—431no—
965#481—431no—
966#481C2×D4311yescharacteristic, complemented
967#480—431no—
968#480—431no—
969#480—431no—
970#480—431no—
971#480—431no—
972#480—431no—
973#480—431no—
974#480C2×D4311yescharacteristic, complemented
975#478—431no—
976#478—431no—
977#478—431no—
978#478—431no—
979#478—431no—
980#478—431no—
981#478—431no—
982#478—431no—
983#478—431no—
984#478—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478C2×D4311yescharacteristic, complemented
990#478C2×D4311yescharacteristic, complemented
991#476—431no—
992#476—431no—
993#476—431no—
994#476—431no—
995#476—431no—
996#476—431no—
997#476—431no—
998#476C2×D4311yescharacteristic, complemented
999#474—431no—
1000#474—431no—
1001#474—431no—
1002#474—431no—
1003#474—431no—
1004#474—431no—
1005#474—431no—
1006#474C2×D4311yescharacteristic, complemented
1007#433—431no—
1008#433—431no—
1009#433—431no—
1010#433—431no—
1011#433—431no—
1012#433—431no—
1013#433—431no—
1014#433C2×D4311yescharacteristic, complemented
1015#428—431no—
1016#428—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428—431no—
1023#423—431no—
1024#423—431no—
1025#418—431no—
1026#418—431no—
1027#418—431no—
1028#418—431no—
1029#418—431no—
1030#418—431no—
1031#418—431no—
1032#418—431no—
1033#407—431no—
1034#407—431no—
1035C4×M16—431no—
1036C4×M16—431no—
1037C43#6086811yescharacteristic, complemented, Sylow
1038C22×D4—431no—
1039C22×D4—431no—
1040C22×D4—861no—
1041C22×D4—861no—
1042C22×D4—861no—
1043C22×D4—861no—
1044C23×C4—431no—
1045C23×C4—861no—
1046C23×C4—861no—
1047C2×M16—431no—
1048C2×M16—431no—
1049C2×M16—431no—
1050C2×M16—431no—
1051C4⋊Q8—21no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—861no—
1059C4⋊Q8—861no—
1060C4⋊Q8—861no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065C4⋊Q8C22×D4311yescharacteristic
1066C4⋊Q8C22×D4311yescharacteristic
1067#127—431no—
1068#127—431no—
1069#127—431no—
1070#127—861no—
1071#127—861no—
1072#127C22×D4311yescharacteristic
1073#125—21no—
1074#125—431no—
1075#125—431no—
1076#125—431no—
1077#125—431no—
1078#125—431no—
1079#125—431no—
1080#125—431no—
1081#125—431no—
1082#125—431no—
1083#125—861no—
1084#125—861no—
1085#125—861no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125C22×D4311yescharacteristic
1093#125C22×D4311yescharacteristic
1094#125C22×D4311yescharacteristic
1095#123—21no—
1096#123—21no—
1097#123—861no—
1098#123—861no—
1099#123—861no—
1100#123—861no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135#121—21no—
1136#121—21no—
1137#121—431no—
1138#121—431no—
1139#121—431no—
1140#121—431no—
1141#121—431no—
1142#121—431no—
1143#121—861no—
1144#121—861no—
1145#121—861no—
1146#121—861no—
1147#121—861no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121C22×D4311yescharacteristic
1162#121C22×D4311yescharacteristic
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8—861no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8—861no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—431no—
1174C4×D4—431no—
1175C4×D4—431no—
1176C4×D4—431no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4C22×D4311yescharacteristic
1182C4×D4C22×D4311yescharacteristic
1183#117—431no—
1184#117—431no—
1185#117—431no—
1186#117—431no—
1187#117—431no—
1188#117—431no—
1189#117—431no—
1190#117—431no—
1191#117—431no—
1192#117—431no—
1193#117—431no—
1194#117—431no—
1195#117—431no—
1196#117—431no—
1197#117—861no—
1198#117—861no—
1199#117—861no—
1200#117—861no—
1201#117C22×D4311yescharacteristic
1202#117C22×D4311yescharacteristic
1203C2×C4⋊C4—431no—
1204C2×C4⋊C4—431no—
1205C2×C4⋊C4—431no—
1206C2×C4⋊C4—431no—
1207C2×C4⋊C4—431no—
1208C2×C4⋊C4—431no—
1209C2×C4⋊C4—431no—
1210C2×C4⋊C4—861no—
1211C2×C4⋊C4—861no—
1212C2×C4⋊C4C22×D4311yescharacteristic
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—861no—
1216C2×C22⋊C4—861no—
1217C2×C22⋊C4—861no—
1218C2×C22⋊C4—861no—
1219C2×C22⋊C4—861no—
1220C2×C22⋊C4—861no—
1221C2×C42—431no—
1222C2×C42—431no—
1223C2×C42—861no—
1224C2×C42—861no—
1225#107—431no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107C22×D4311yescharacteristic
1238#107C22×D4311yescharacteristic
1239#107C22×D4311yescharacteristic
1240#107C22×D4311yescharacteristic
1241#106—431no—
1242#106—431no—
1243#106—431no—
1244#106—431no—
1245#106—431no—
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106C22×D4311yescharacteristic
1254#106C22×D4311yescharacteristic
1255#106C22×D4311yescharacteristic
1256#106C22×D4311yescharacteristic
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8C22×D4311yescharacteristic
1264C4⋊C8C22×D4311yescharacteristic
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102C22×D4311yescharacteristic
1290#102C22×D4311yescharacteristic
1291#102C22×D4311yescharacteristic
1292#102C22×D4311yescharacteristic
1293#102C22×D4311yescharacteristic
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8C22×D4311yescharacteristic
1304C22⋊C8C22×D4311yescharacteristic
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97C22×D4311yescharacteristic
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8—431no—
1312C4×C8C22×D4311yescharacteristic
1313C24—431no—
1314C24—861no—
1315C24—861no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—861no—
1319C2×Q8—861no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—861no—
1331C2×D4—861no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—862no—
1335C2×D4—862no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—3442no—
1349C2×D4—3442no—
1350C2×D4—3442no—
1351C2×D4—3442no—
1352C2×D4C23×D4311yescharacteristic
1353C2×D4C23×D4311yescharacteristic
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—862no—
1367C22×C4—862no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—3442no—
1380C22×C4—3442no—
1381C22×C4C23×D4311yescharacteristic
1382M16—862no—
1383M16—862no—
1384M16—862no—
1385M16—862no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C2×C8C23×D4311yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
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—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
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⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4D4×D4311yescharacteristic
1445C4⋊C4D4×D4311yescharacteristic
1446C4⋊C4C23×D4311yescharacteristic
1447C4⋊C4C23×D4311yescharacteristic
1448C4⋊C4C23×D4311yescharacteristic
1449C4⋊C4C23×D4311yescharacteristic
1450C4⋊C4C23×D4311yescharacteristic
1451C4⋊C4C23×D4311yescharacteristic
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1483C22⋊C4D4×D4311yescharacteristic
1484C42—21no—
1485C42—431no—
1486C42—431no—
1487C42—431no—
1488C42—431no—
1489C42—431no—
1490C42—431no—
1491C42—861no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42C23×D4311yescharacteristic
1499C42C23×D4311yescharacteristic
1500C23—21no—
1501C23—21no—
1502C23—431no—
1503C23—431no—
1504C23—862no—
1505C23—861no—
1506C23—861no—
1507C23—1721no—
1508C23—1721no—
1509C23—1722no—
1510C23—1722no—
1511C23—1722no—
1512C23—1722no—
1513C23—1722no—
1514C23—1722no—
1515C23C2×D4×D4311yescharacteristic
1516Q8—81no—
1517Q8—81no—
1518Q8—3441no—
1519Q8—3441no—
1520Q8—3441no—
1521Q8—3441no—
1522Q8—3441no—
1523Q8—3441no—
1524D4—21no—
1525D4—21no—
1526D4—21no—
1527D4—21no—
1528D4—81no—
1529D4—81no—
1530D4—81no—
1531D4—81no—
1532D4—861no—
1533D4—861no—
1534D4—861no—
1535D4—861no—
1536D4—3441no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—3441no—
1546D4—3441no—
1547D4—3441no—
1548D4—1722no—
1549D4—1722no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—431no—
1562C2×C4—432no—
1563C2×C4—432no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—862no—
1570C2×C4—862no—
1571C2×C4—862no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—3441no—
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—1721no—
1590C2×C4—1721no—
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×C4C2×D4×D4311yescharacteristic
1600C2×C4C24×D4311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8—861no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—432no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—3442no—
1625C22—3444no—
1626C22—3444no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—1721no—
1631C22—1721no—
1632C22—1721no—
1633C22C22×D4×D4311yescharacteristic
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—432no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—861no—
1650C4—861no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4—1721no—
1656C4—1721no—
1657C42−1+4×D4311yescharacteristic
1658C42−1+4×D4311yescharacteristic
1659C2—41no—
1660C2—81no—
1661C2—81no—
1662C2—862no—
1663C2—3441no—
1664C2—3441no—
1665C2—1721no—
1666C2#536×D4311yescharacteristic
1667C2#1914937011yescharacteristic
1668C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3241C2
socleC22×C43C23×D4
prime radical#540×D43C2
hypercenter#3241D43
hypocenterC43#60868
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #19147999C2semidirect
3. #19145855C2semidirect
4. #19145854C2semidirect
5. #19145853C2semidirect
6. #19145852C2semidirect
7. #19145851C2semidirect
8. #19145850C2semidirect
9. #19145849C2semidirect
10. #19145848C2semidirect
11. #19145847C2semidirect
12. #19145846C2semidirect
13. #19145845C2semidirect
14. #19145844C2semidirect
15. #19145843C2semidirect
16. #19145842C2semidirect
17. #19145841C2semidirect
18. #19145146C2semidirect
19. #19145143C2semidirect
20. #19144968C2semidirect
21. #19144966C2semidirect
22. #19144534C2semidirect
23. #19144534C2semidirect
24. #19144532C2semidirect
25. #19144530C2semidirect
26. #19144393C2semidirect
27. #19144390C2semidirect
28. #19144390C2semidirect
29. #19144387C2semidirect
30. #19143229C2semidirect
31. C43×#3241C2semidirect
32. #14583530C22semidirect
34. #14583529C22semidirect
35. #14583529C22semidirect
36. #14583527C22semidirect
37. #14583527C22semidirect
39. #14583526C22semidirect
40. #14583526C22semidirect
75. #14583309C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583306C22semidirect
81. #14583305C22semidirect
82. #14583301C22semidirect
83. #14583300C22semidirect
84. #14583300C22semidirect
85. #14583299C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
88. #14583298C22semidirect
89. #14583265C22semidirect
90. #14583264C22semidirect
91. #14583263C22semidirect
92. #14583262C22semidirect
93. #14583262C22semidirect
94. #14583262C22semidirect
95. #14583262C22semidirect
96. #14583247C22semidirect
97. #14583246C22semidirect
98. #14583245C22semidirect
99. #14583244C22semidirect
100. #14583244C22semidirect
101. #14583244C22semidirect
102. #14583244C22semidirect
103. #14583226C22semidirect
104. #14583226C22semidirect
105. #14583225C22semidirect
106. #14583225C22semidirect
107. #14583224C22semidirect
108. #14583224C22semidirect
109. #14583223C22semidirect
110. #14583223C22semidirect
111. #14583222C22semidirect
112. #14583222C22semidirect
113. #14583221C22semidirect
114. #14583221C22semidirect
115. #14583220C22semidirect
116. #14583220C22semidirect
117. #14583219C22semidirect
118. #14583219C22semidirect
119. #14583218C22semidirect
120. #14583217C22semidirect
121. #14583216C22semidirect
122. #14583216C22semidirect
123. #14583215C22semidirect
124. #14583214C22semidirect
125. #14583214C22semidirect
126. #14583213C22semidirect
127. #14583212C22semidirect
128. #14583211C22semidirect
129. #14583211C22semidirect
130. #14583210C22semidirect
131. #14583202C22semidirect
132. #14583202C22semidirect
133. #14583201C22semidirect
134. #14583201C22semidirect
135. #14583200C22semidirect
136. #14583200C22semidirect
137. #14583199C22semidirect
138. #14583199C22semidirect
139. #14583198C22semidirect
140. #14583198C22semidirect
141. #14583197C22semidirect
142. #14583197C22semidirect
143. #14583196C22semidirect
144. #14583196C22semidirect
145. #14583190C22semidirect
146. #14583189C22semidirect
147. #14583188C22semidirect
148. #14583188C22semidirect
149. #14583187C22semidirect
150. #14583187C22semidirect
151. #14583186C22semidirect
152. #14583180C22semidirect
153. #14583179C22semidirect
154. #14583178C22semidirect
155. #14583178C22semidirect
156. #14583177C22semidirect
157. #14583177C22semidirect
158. #14583176C22semidirect
159. #14582961C22semidirect
160. #14582960C22semidirect
161. #14582959C22semidirect
162. #14582959C22semidirect
163. #14582958C22semidirect
164. #14582957C22semidirect
165. #14582957C22semidirect
188. C43×#544C22semidirect
190. C43×#501C22semidirect
191. C43×#499C22semidirect
192. C43×#490C22semidirect
193. C43×#486C22semidirect
194. C43×#482C22semidirect
195. C43×#482C22semidirect
196. C43×#481C22semidirect
197. C43×#480C22semidirect
198. C43×#478C22semidirect
199. C43×#478C22semidirect
200. C43×#476C22semidirect
201. C43×#474C22semidirect
202. C43×#433C22semidirect
842. #3241D43semidirect
875. #544C2×D43semidirect
918. #501C2×D43semidirect
926. #499C2×D43semidirect
934. #490C2×D43semidirect
942. #486C2×D43semidirect
957. #482C2×D43semidirect
958. #482C2×D43semidirect
966. #481C2×D43semidirect
974. #480C2×D43semidirect
989. #478C2×D43semidirect
990. #478C2×D43semidirect
998. #476C2×D43semidirect
1006. #474C2×D43semidirect
1014. #433C2×D43semidirect
1037. C43#60868semidirect

Maximal subgroups

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

subgroupindex
#191479992
#540×D432
#191458552
#191458542
#191458532
#191458522
#191458512
#191458502
#191458492
#191458482
#191458472
#191458462
#191458452
#191458442
#191458432
#191458422
#191458412
#191451462
#191451432
#191449682
#191449662
#191445342
#191445322
#191445302
#191443932
#191443902
#191443872
#191432292
C43×#32412
#6086843