Finite Group Databasebeta

← #25966679

Subgroups — #25966679

Order 11008.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148026C211yesmaximal, characteristic, complemented
2#19148020C211yesmaximal, characteristic, complemented
3#19145337C211yesmaximal, characteristic, complemented
4#19145336C211yesmaximal, characteristic, complemented
5#19145320C211yesmaximal, characteristic, complemented
6#19145318C211yesmaximal, characteristic, complemented
7#19145304C211yesmaximal, characteristic, complemented
8#19145302C211yesmaximal, characteristic, complemented
9#19145300C211yesmaximal, characteristic, complemented
10#19145268C211yesmaximal, characteristic, complemented
11#19145266C211yesmaximal, characteristic, complemented
12#19145260C211yesmaximal, characteristic, complemented
13#19145258C211yesmaximal, characteristic, complemented
14#19145253C211yesmaximal, characteristic, complemented
15#19145247C211yesmaximal, characteristic, complemented
16#19145211C211yesmaximal, characteristic, complemented
17#19145205C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19145087C211yesmaximal, characteristic, complemented
20#19144961C211yesmaximal, characteristic, complemented
21#19144957C211yesmaximal, characteristic, complemented
22#19144285C211yesmaximal, characteristic, complemented
23#19144279C211yesmaximal, characteristic, complemented
24#19144252C211yesmaximal, characteristic
25#19144245C211yesmaximal, characteristic, complemented
26#19143417C211yesmaximal, characteristic, complemented
27#19143411C211yesmaximal, characteristic, complemented
28#19143390C211yesmaximal, characteristic, complemented
29#441×D43C211yesmaximal, characteristic, complemented
30#19143020C211yesmaximal, characteristic, complemented
31C43×#3181C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35C2×Q16×D43C2211yescharacteristic
36C2×#13063331C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38#14583529C2211yescharacteristic
39#14583526C2211yescharacteristic
40#14583523C2211yescharacteristic
41#14583522C2211yescharacteristic
42#14583519—21no—
43#14583518C2211yescharacteristic
44#14583517—21no—
45#14583516C2211yescharacteristic
46#14583512C2211yescharacteristic
47#14583510C2211yescharacteristic
48#14583509C2211yescharacteristic
49#14583509C2211yescharacteristic
50#14583508—21no—
51#14583506—21no—
52#14583497—21no—
53#14583495—21no—
54#14583492—21no—
55#14583490—21no—
56#14583479C2211yescharacteristic
57#14583478C2211yescharacteristic
58#14583474C2211yescharacteristic
59#14583472C2211yescharacteristic
60#14583472C2211yescharacteristic
61#14583469C2211yescharacteristic
62#14583456C2211yescharacteristic
63#14583453—21no—
64#14583453C2211yescharacteristic
65#14583453C2211yescharacteristic
66#14583452—21no—
67#14583436—21no—
68#14583436C2211yescharacteristic
69#14583433C2211yescharacteristic
70#14583431—21no—
71#14583431C2211yescharacteristic
72#14583429—21no—
73#14583427—21no—
74#14583427—21no—
75#14583427—21no—
76C4×#10621902C2211yescharacteristic
77C4×#10621898C2211yescharacteristic
78C4×#10621900C2211yescharacteristic
79C4×Q8×D43C2211yescharacteristic
80C4×Q8×D43C2211yescharacteristic
81#14583308C2211yescharacteristic
82#14583307C2211yescharacteristic
83#14583306C2211yescharacteristic
84#14583300C2211yescharacteristic
85#14583298C2211yescharacteristic
86#14583296C2211yescharacteristic
87#14583295C2211yescharacteristic
88#14583293C2211yescharacteristic
89#14583292C2211yescharacteristic
90#14583290C2211yescharacteristic
91#14583281C2211yescharacteristic
92#14583280C2211yescharacteristic
93#14583278C2211yescharacteristic
94#14583277C2211yescharacteristic
95#14583268C2211yescharacteristic
96#14583266C2211yescharacteristic
97#14583266C2211yescharacteristic
98#14583260C2211yescharacteristic
99#14583259C2211yescharacteristic
100#14583257C2211yescharacteristic
101#14583256C2211yescharacteristic
102#14583255C2211yescharacteristic
103#14583253C2211yescharacteristic
104#14583252C2211yescharacteristic
105#14583251C2211yescharacteristic
106#14583249C2211yescharacteristic
107#14583248C2211yescharacteristic
108#14583248C2211yescharacteristic
109#14583158C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583156C2211yescharacteristic
112#14583156C2211yescharacteristic
113#14583155C2211yescharacteristic
114#14583155C2211yescharacteristic
115#14583155C2211yescharacteristic
116#14583155C2211yescharacteristic
117#14583155C2211yescharacteristic
118#14583154C2211yescharacteristic
119#14583151C2211yescharacteristic
120#14583150C2211yescharacteristic
121#14583147C2211yescharacteristic
122#14583146C2211yescharacteristic
123#14583143C2211yescharacteristic
124#14583142C2211yescharacteristic
125#14583141C2211yescharacteristic
126#14583140C2211yescharacteristic
127#14583140C2211yescharacteristic
128#14583139C2211yescharacteristic
129#14583139C2211yescharacteristic
130#14583137C2211yescharacteristic
131#14583131C2211yescharacteristic
132#14583129C2211yescharacteristic
133#14583128C2211yescharacteristic
134#14583128C2211yescharacteristic
135#14583127C2211yescharacteristic
136#14583125C2211yescharacteristic
137#14583009C2211yescharacteristic
138#14583008C2211yescharacteristic
139#14583007C2211yescharacteristic
140#14583007C2211yescharacteristic
141#14583006C2211yescharacteristic
142#14583005C2211yescharacteristic
143#14583004C2211yescharacteristic
144#14583004C2211yescharacteristic
145#14583004C2211yescharacteristic
146#14583004C2211yescharacteristic
147#14583004C2211yescharacteristic
148#14583003C2211yescharacteristic
149#14583003C2211yescharacteristic
150#14583003C2211yescharacteristic
151#14583001C2211yescharacteristic
152#14583001C2211yescharacteristic
153#14583000C2211yescharacteristic
154#14582999C2211yescharacteristic
155#14582998C2211yescharacteristic
156#14582997C2211yescharacteristic
157Q16×Dic43C2211yescharacteristic
158#14582993C2211yescharacteristic
159#14582991C2211yescharacteristic
160#14582991C2211yescharacteristic
161#14582990C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163#14582986C2211yescharacteristic
164#14582984C2211yescharacteristic
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582936C2211yescharacteristic
168#106×D43C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582906C2211yescharacteristic
171#14582899C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582894C2211yescharacteristic
174#14582892C2211yescharacteristic
175#103×D43C2211yescharacteristic
176#103×D43C2211yescharacteristic
177#14582856C2211yescharacteristic
178#14582856C2211yescharacteristic
179#14582856C2211yescharacteristic
180#14582856C2211yescharacteristic
181#14582854C2211yescharacteristic
182#14582854C2211yescharacteristic
183C4×#10621877C2211yescharacteristic
184#14582851C2211yescharacteristic
185#14582851C2211yescharacteristic
186#97×D43C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic
189C43×#529C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#497C2211yescharacteristic
192C43×#491C2211yescharacteristic
193C43×#489C2211yescharacteristic
194C43×#467C2211yescharacteristic
195C43×#467C2211yescharacteristic
196C43×#465C2211yescharacteristic
197C43×#465C2211yescharacteristic
198C43×#441C2211yescharacteristic
199C43×#441C2211yescharacteristic
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C2×#97×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208#13063357—24no—
209#13063354—24no—
210#13063346—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218Q16×D43—24no—
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224#13063331—24no—
225#13063331—24no—
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063324—21no—
239#13063324—21no—
240#13063324—21no—
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063323—21no—
244#13063323C2311yescharacteristic
245#13063323C2311yescharacteristic
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063317—21no—
262#13063317C2311yescharacteristic
263#13063316—21no—
264#13063316—21no—
265#13063316—21no—
266#13063316—21no—
267#13063316C2311yescharacteristic
268#13063316C2311yescharacteristic
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063314—21no—
278#13063314C2311yescharacteristic
279#13063313C2311yescharacteristic
280#13063312—21no—
281#13063312C2311yescharacteristic
282#13063311—21no—
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063310—21no—
292#13063309—21no—
293#13063308—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063307—21no—
299#13063307—21no—
300#13063306—21no—
301#13063305—21no—
302#13063305—21no—
303#13063305C2311yescharacteristic
304#13063305C2311yescharacteristic
305#13063305C2311yescharacteristic
306#13063304—21no—
307#13063304C2311yescharacteristic
308#13063304C2311yescharacteristic
309#13063304C2311yescharacteristic
310#13063303—21no—
311#13063303—21no—
312#13063303—21no—
313#13063303—21no—
314#13063303—21no—
315#13063303—21no—
316#13063303—21no—
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063302—21no—
321#13063302—21no—
322#13063301—21no—
323#13063301—21no—
324#13063301C2311yescharacteristic
325#13063301C2311yescharacteristic
326#13063301C2311yescharacteristic
327#13063300—21no—
328#13063300C2311yescharacteristic
329#13063299C2311yescharacteristic
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063297—21no—
334#13063296—21no—
335#13063296C2311yescharacteristic
336Q8×Dic43C2311yescharacteristic
337Q8×Dic43C2311yescharacteristic
338Q8×Dic43C2311yescharacteristic
339C4×Dic86—21no—
340C4×Dic86—21no—
341C4×Dic86—21no—
342C4×Dic86—21no—
343C4×Dic86—21no—
344C4×Dic86D411yescharacteristic
345C4×Dic86D411yescharacteristic
346C4×Dic86C2311yescharacteristic
347C4×Dic86C2311yescharacteristic
348C4×Dic86C2311yescharacteristic
349#13063290—21no—
350#13063290—21no—
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353#13063290C2311yescharacteristic
354C4×D172—21no—
355C4×D172—21no—
356C4×D172D411yescharacteristic
357C4×D172D411yescharacteristic
358C4×D172C2311yescharacteristic
359D4×Dic43C2311yescharacteristic
360#13063287—21no—
361#13063287C2311yescharacteristic
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43D411yescharacteristic
366C4×C22⋊D43D411yescharacteristic
367C4×C22⋊D43D411yescharacteristic
368C4×C22⋊D43D411yescharacteristic
369(C22⋊D43)⋊C4—21no—
370#13063284—21no—
371#13063284—21no—
372#13063284C2311yescharacteristic
373#13063283—21no—
374#13063283C2311yescharacteristic
375#13063283C2311yescharacteristic
376#13063282—21no—
377#13063282—21no—
378#13063282—21no—
379#13063282—21no—
380#13063282C2311yescharacteristic
381#13063282C2311yescharacteristic
382#13063281—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C2×C4×Dic43—21no—
388C42×D43—21no—
389C42×D43—21no—
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#126×C43—21no—
450#125×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459C4×Q8×C43—21no—
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43C2311yescharacteristic
465#117×C43—21no—
466#117×C43—21no—
467C2×C42×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43C2×D411yescharacteristic
492C22×C4×C43C2×D411yescharacteristic
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C22×Dic43—21no—
500C22×Dic43—21no—
501#10621902—22no—
502#10621902—22no—
503Q8×D43—22no—
504Q8×D43—22no—
505Q8×D43—22no—
506Q8×D43—22no—
507#10621900—22no—
508#10621900—22no—
509#10621898—22no—
510#10621898—22no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172C2×D411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43C2×D411yescharacteristic
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536C2×Dic86C2411yescharacteristic
537Q16×C43—22no—
538Q16×C43—22no—
539SD16×C43—22no—
540SD16×C43—22no—
541C2×C8×C43—22no—
542C2×C8×C43—22no—
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C42×C43—21no—
570C42×C43—21no—
571C42×C43—21no—
572C42×C43C2×D411yescharacteristic
573C42×C43C2×D411yescharacteristic
574C42×C43C2411yescharacteristic
575C42×C43C2411yescharacteristic
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621885—22no—
586#10621885—22no—
587#10621885—22no—
588#10621885—22no—
589#10621885—22no—
590#10621884—22no—
591#10621883—22no—
592#10621882—22no—
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)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43C2×D411yescharacteristic
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
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⋊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⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
659C4×Dic43—21no—
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×Dic43—21no—
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—22no—
676#10621877—22no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682Dic172—22no—
683#10621873—22no—
684#10621873—22no—
685#10621872—22no—
686#10621872—22no—
687#10621872—22no—
688#10621872#4114yes—
689C8×D43—22no—
690C8×D43—22no—
691C8×D43—22no—
692C8×D43#4114yes—
693C23×C43—21no—
694C23×C43C22×D411yescharacteristic
695C22×D43—21no—
696C22×D43C22×D411yescharacteristic
697C22×D43C22×D411yescharacteristic
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—81no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—81no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—41no—
718C2×C4×C43—41no—
719C2×C4×C43—42no—
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C22⋊D43—22no—
727C22⋊D43—22no—
728C22⋊D43—42no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—42no—
739C2×Dic43—81no—
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746D172—22no—
747D172—21no—
748D172—21no—
749D172—42no—
750D172—81no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—41no—
754C4×D43—41no—
755C4×D43—41no—
756C4×D43—41no—
757C4×D43—42no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43C2×#4112yes—
765C4×D43C2×#4112yes—
766Dic86—22no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—21no—
771Dic86—21no—
772Dic86—21no—
773Dic86—42no—
774Dic86—42no—
775Dic86—81no—
776Dic86—81no—
777Dic86—81no—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43C2×#4112yes—
781C8×C43C2×#4112yes—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8C2×#4112yes—
785C43⋊C8C2×#4112yes—
786#60699—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43#53212yes—
803C4×C43—21no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43C22×#4111yescharacteristic
816C4×C43C22×#4111yescharacteristic
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—41no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43#53212yes—
830#3461—431no—
831#3461—431no—
832#3185—431no—
833#3185—431no—
834#3183—431no—
835#3183—431no—
836#3181—431no—
837#3181—431no—
838#3181—431no—
839#3181D4311yescharacteristic, complemented
840#3178—431no—
841#3178—431no—
842#3178—431no—
843#3178—431no—
844#3177—431no—
845#3177—431no—
846#3173—431no—
847#3173—431no—
848#3163—431no—
849#3156—431no—
850#3137—431no—
851#3137—431no—
852#3063—431no—
853#3063—431no—
854#3060—431no—
855#3059—431no—
856C4×#137—431no—
857C4×#137—431no—
858#2943—431no—
859C2×#441—431no—
860#2875—431no—
861C2×C43—41no—
862C2×C43—81no—
863C2×C43C2×#53211yescharacteristic
864C2×C43#358611yescharacteristic
865C2×C43#358611yescharacteristic
866D43—22no—
867D43—41no—
868D43—81no—
869C2×#137—431no—
870C2×#137—431no—
871C2×#135—431no—
872C22×Q16—431no—
873C2×#131—431no—
874C2×#131—431no—
875#544—431no—
876#544—431no—
877#542—431no—
878#542—431no—
879#542—431no—
880#542—431no—
881#542—861no—
882#542—861no—
883#541—431no—
884#541—431no—
885#541—431no—
886#541—431no—
887#541—861no—
888#541—861no—
889#539—861no—
890#539—861no—
891#539—861no—
892#539—861no—
893#537—431no—
894#537—431no—
895#536—431no—
896#536—431no—
897#536—431no—
898#536—431no—
899#533—431no—
900#533—431no—
901#533—431no—
902#533—861no—
903#533—861no—
904#533C2×D4311yescharacteristic
905#529—431no—
906#529—431no—
907#529—431no—
908#529—861no—
909#529—861no—
910#529—861no—
911#529—861no—
912#529—861no—
913#529—861no—
914#529C2×D4311yescharacteristic
915C4×#41—431no—
916C4×#41—431no—
917C4×#41—431no—
918C2×C4×Q8—431no—
919C2×C4×Q8—431no—
920#501—431no—
921#501—431no—
922#501—431no—
923#501C2×D4311yescharacteristic
924#499—431no—
925#499—431no—
926#498—431no—
927#498—431no—
928#497—431no—
929#497—431no—
930#497—431no—
931#497C2×D4311yescharacteristic
932#495—431no—
933#495—431no—
934#494—431no—
935#494—431no—
936#491—431no—
937#491—431no—
938#491—431no—
939#491C2×D4311yescharacteristic
940#489—431no—
941#489—431no—
942#489—431no—
943#489C2×D4311yescharacteristic
944#488—431no—
945#488—431no—
946#488—431no—
947#488—431no—
948#487—431no—
949#487—431no—
950#487—431no—
951#487—431no—
952#470—431no—
953#470—431no—
954#470—431no—
955#470—431no—
956#470—431no—
957#470—431no—
958#470—431no—
959#470—431no—
960#470—431no—
961#470—431no—
962#469—431no—
963#469—431no—
964#468—431no—
965#468—431no—
966#468—431no—
967#468—431no—
968#467—431no—
969#467—431no—
970#467—431no—
971#467—431no—
972#467—431no—
973#467—431no—
974#467C2×D4311yescharacteristic
975#467C2×D4311yescharacteristic
976#465—431no—
977#465—431no—
978#465—431no—
979#465—431no—
980#465—431no—
981#465—431no—
982#465C2×D4311yescharacteristic
983#465C2×D4311yescharacteristic
984#442—431no—
985#442—431no—
986#441—431no—
987#441—431no—
988#441—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#441C2×D4311yescharacteristic
999#441C2×D4311yescharacteristic
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003#440—431no—
1004#440—431no—
1005#440—431no—
1006#440C2×D4311yescharacteristic
1007#440C2×D4311yescharacteristic
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×Q16—431no—
1011C4×Q16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016#428—431no—
1017#428—431no—
1018#427—431no—
1019C2×#106—431no—
1020#419—431no—
1021#419—431no—
1022#417—431no—
1023#417—431no—
1024#416—431no—
1025#416—431no—
1026C2×#103—431no—
1027C2×#103—431no—
1028#405—431no—
1029#405—431no—
1030#405—431no—
1031#405—431no—
1032#405—431no—
1033#405—431no—
1034C4×M16—431no—
1035C4×M16—431no—
1036C4×M16—431no—
1037C2×#97—431no—
1038C2×#97—431no—
1039C2×#97C2×D4311yescharacteristic
1040C43#6069911yescharacteristic, complemented, Sylow
1041C2×#41—431no—
1042C2×#41—431no—
1043C2×#41—431no—
1044C22×Q8—431no—
1045C22×Q8—431no—
1046#137—864no—
1047#137—864no—
1048#135—864no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16—431no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—864no—
1057C2×Q16C22×D4311yescharacteristic
1058C2×Q16C22×D4311yescharacteristic
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16C22×D4311yescharacteristic
1064C2×SD16C22×D4311yescharacteristic
1065C2×D8—431no—
1066#131—864no—
1067#131—864no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—431no—
1071C2×M16—431no—
1072C2×M16—431no—
1073C2×M16—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8—431no—
1078C22×C8C22×D4311yescharacteristic
1079C22×C8C22×D4311yescharacteristic
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8—861no—
1089C4⋊Q8—861no—
1090C4⋊Q8C22×D4311yescharacteristic
1091C4⋊Q8C22×D4311yescharacteristic
1092#126—21no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—21no—
1109#125—431no—
1110#125—431no—
1111#125—431no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125C22×D4311yescharacteristic
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124C22×D4311yescharacteristic
1136#123—21no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
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—21no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8C22×D4311yescharacteristic
1180C22⋊Q8C22×D4311yescharacteristic
1181C22⋊Q8C22×D4311yescharacteristic
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#121—861no—
1190#121—861no—
1191#121C22×D4311yescharacteristic
1192C4×Q8—21no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—431no—
1203C4×Q8—431no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×Q8—861no—
1211C4×Q8C22×D4311yescharacteristic
1212C4×Q8C22×D4311yescharacteristic
1213C4×Q8C22×D4311yescharacteristic
1214C4×D4—21no—
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—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4C22×D4311yescharacteristic
1232#117—21no—
1233#117—21no—
1234#117—431no—
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C42—431no—
1252C2×C42—431no—
1253C2×C42—861no—
1254C2×C42—861no—
1255C2×C42—861no—
1256C2×C42—861no—
1257C2×C42C22×D4311yescharacteristic
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107C22×D4311yescharacteristic
1263#107C22×D4311yescharacteristic
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106C22×D4311yescharacteristic
1273#106C22×D4311yescharacteristic
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102C22×D4311yescharacteristic
1305#102C22×D4311yescharacteristic
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313#97C22×D4311yescharacteristic
1314#97C22×D4311yescharacteristic
1315#97C22×D4311yescharacteristic
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8—431no—
1320C4×C8—431no—
1321C4×C8—431no—
1322#41—862no—
1323#41—862no—
1324#41—862no—
1325#41—862no—
1326#41—862no—
1327#41—862no—
1328C2×Q8—21no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—862no—
1338C2×Q8—862no—
1339C2×Q8—862no—
1340C2×Q8—862no—
1341C2×Q8—861no—
1342C2×Q8C23×D4311yescharacteristic
1343C2×Q8C23×D4311yescharacteristic
1344C2×Q8C23×D4311yescharacteristic
1345C2×D4—21no—
1346C2×D4—431no—
1347C2×D4—431no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4C23×D4311yescharacteristic
1356C22×C4—21no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4D4×D4311yescharacteristic
1373C22×C4D4×D4311yescharacteristic
1374C22×C4C23×D4311yescharacteristic
1375Q16—22no—
1376Q16—22no—
1377Q16—862no—
1378Q16—862no—
1379Q16—862no—
1380Q16—862no—
1381Q16—862no—
1382Q16—862no—
1383Q16—862no—
1384SD16—22no—
1385SD16—22no—
1386SD16—862no—
1387SD16—862no—
1388SD16—862no—
1389SD16—862no—
1390D8—862no—
1391M16—434no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—862no—
1396M16—862no—
1397C2×C8—22no—
1398C2×C8—22no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—434no—
1402C2×C8—431no—
1403C2×C8—431no—
1404C2×C8—862no—
1405C2×C8—862no—
1406C2×C8—862no—
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C2×C8C23×D4311yescharacteristic
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
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⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—431no—
1511C42—431no—
1512C42—431no—
1513C42—431no—
1514C42—431no—
1515C42—431no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42D4×D4311yescharacteristic
1528C42D4×D4311yescharacteristic
1529C42C23×D4311yescharacteristic
1530C42C23×D4311yescharacteristic
1531C23—21no—
1532C23—431no—
1533C23—431no—
1534C23—861no—
1535C23C2×D4×D4311yescharacteristic
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—81no—
1543Q8—862no—
1544Q8—861no—
1545Q8—861no—
1546Q8—861no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—3441no—
1551Q8—3441no—
1552Q8—3441no—
1553Q8—1722no—
1554Q8—1722no—
1555D4—21no—
1556D4—21no—
1557D4—81no—
1558D4—862no—
1559D4—862no—
1560D4—862no—
1561D4—861no—
1562D4—861no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—1722no—
1567D4—1722no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—42no—
1580C2×C4—431no—
1581C2×C4—432no—
1582C2×C4—432no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—1721no—
1602C2×C4—1721no—
1603C2×C4—1721no—
1604C2×C4—1721no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C24×D4311yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—432no—
1619C8—432no—
1620C8—861no—
1621C8—861no—
1622C8#41×D4312yes—
1623C8#41×D4312yes—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—432no—
1631C22—861no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22C22×D4×D4311yescharacteristic
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—432no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—1721no—
1659C4—1721no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4C2×#41×D4311yescharacteristic
1666C4C2×#41×D4311yescharacteristic
1667C2—41no—
1668C2—81no—
1669C2—862no—
1670C2—3441no—
1671C2—1721no—
1672C2#532×D4311yescharacteristic
1673C2#1914937811yescharacteristic
1674C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3181C2
socleC22×C43C23×D4
prime radical#19144252C2
hypercenter#3181D43
hypocenterC43#60699
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3181

Complements

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

NH ≅ G/Ntype
1. #19148026C2semidirect
2. #19148020C2semidirect
3. #19145337C2semidirect
4. #19145336C2semidirect
5. #19145320C2semidirect
6. #19145318C2semidirect
7. #19145304C2semidirect
8. #19145302C2semidirect
9. #19145300C2semidirect
10. #19145268C2semidirect
11. #19145266C2semidirect
12. #19145260C2semidirect
13. #19145258C2semidirect
14. #19145253C2semidirect
15. #19145247C2semidirect
16. #19145211C2semidirect
17. #19145205C2semidirect
18. #19145122C2semidirect
19. #19145087C2semidirect
20. #19144961C2semidirect
21. #19144957C2semidirect
22. #19144285C2semidirect
23. #19144279C2semidirect
25. #19144245C2semidirect
26. #19143417C2semidirect
27. #19143411C2semidirect
28. #19143390C2semidirect
29. #441×D43C2semidirect
30. #19143020C2semidirect
31. C43×#3181C2semidirect
839. #3181D43semidirect
1040. C43#60699semidirect

Maximal subgroups

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

subgroupindex
#191480262
#191480202
#191453372
#191453362
#191453202
#191453182
#191453042
#191453022
#191453002
#191452682
#191452662
#191452602
#191452582
#191452532
#191452472
#191452112
#191452052
#191451222
#191450872
#191449612
#191449572
#191442852
#191442792
#191442522
#191442452
#191434172
#191434112
#191433902
#441×D432
#191430202
C43×#31812
#6069943