Finite Group Databasebeta

← #25979959

Subgroups — #25979959

Order 11008.

1760 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148704C211yesmaximal, characteristic
2#19148683C211yesmaximal, characteristic, complemented
3#19147643C211yesmaximal, characteristic, complemented
4#19147557C211yesmaximal, characteristic, complemented
5#19147393C211yesmaximal, characteristic, complemented
6#19147370C211yesmaximal, characteristic, complemented
7#19147163C211yesmaximal, characteristic, complemented
8#19147147C211yesmaximal, characteristic, complemented
9#19147103C211yesmaximal, characteristic, complemented
10#19146887C211yesmaximal, characteristic, complemented
11#19146856C211yesmaximal, characteristic, complemented
12#19146773C211yesmaximal, characteristic, complemented
13#19146714C211yesmaximal, characteristic, complemented
14#19146658C211yesmaximal, characteristic, complemented
15#19146649C211yesmaximal, characteristic, complemented
16#19146254C211yesmaximal, characteristic, complemented
17#19146171C211yesmaximal, characteristic, complemented
18#19146163C211yesmaximal, characteristic, complemented
19#19145261C211yesmaximal, characteristic, complemented
20#19145221C211yesmaximal, characteristic, complemented
21#19145195C211yesmaximal, characteristic, complemented
22#19144894C211yesmaximal, characteristic, complemented
23#19144885C211yesmaximal, characteristic, complemented
24#19144822C211yesmaximal, characteristic, complemented
25#19144807C211yesmaximal, characteristic, complemented
26#19144768C211yesmaximal, characteristic, complemented
27#19143575C211yesmaximal, characteristic, complemented
28#19143460C211yesmaximal, characteristic, complemented
29#19143437C211yesmaximal, characteristic, complemented
30C4×#13063355C211yesmaximal, characteristic, complemented
31C43×#3116C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063355C2211yescharacteristic
34C2×Q16×D43C2211yescharacteristic
35#14583632—21no—
36#14583632C2211yescharacteristic
37#14583625—21no—
38#14583625C2211yescharacteristic
39#14583624C2211yescharacteristic
40#14583624C2211yescharacteristic
41#14583623C2211yescharacteristic
42#14583621—21no—
43#14583612—21no—
44#14583612C2211yescharacteristic
45#14583599—21no—
46#14583599C2211yescharacteristic
47#14583591C2211yescharacteristic
48#14583591C2211yescharacteristic
49#14583588—21no—
50#14583588C2211yescharacteristic
51#14583582—21no—
52#14583582—21no—
53#14583568C2211yescharacteristic
54#14583564C2211yescharacteristic
55#14583562C2211yescharacteristic
56#14583562C2211yescharacteristic
57#14583561C2211yescharacteristic
58#14583556C2211yescharacteristic
59#14583514—21no—
60#14583514C2211yescharacteristic
61#14583508—21no—
62#14583508—21no—
63#14583507C2211yescharacteristic
64#14583507C2211yescharacteristic
65#14583500—21no—
66#14583500C2211yescharacteristic
67#14583451—21no—
68#14583435—21no—
69#14583433—21no—
70#14583433—21no—
71#14583433C2211yescharacteristic
72#14583433C2211yescharacteristic
73#14583381C2211yescharacteristic
74#14583375C2211yescharacteristic
75#14583375C2211yescharacteristic
76#14583375C2211yescharacteristic
77C2×C4×Dic86C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583305C2211yescharacteristic
80#14583300C2211yescharacteristic
81#14583291C2211yescharacteristic
82#14583290C2211yescharacteristic
83#14583270C2211yescharacteristic
84#14583267C2211yescharacteristic
85#14583266C2211yescharacteristic
86#14583262C2211yescharacteristic
87#14583261C2211yescharacteristic
88#14583252C2211yescharacteristic
89#14583248C2211yescharacteristic
90#14583243C2211yescharacteristic
91#14583242C2211yescharacteristic
92#14583238C2211yescharacteristic
93#14583235C2211yescharacteristic
94#14583233C2211yescharacteristic
95#14583231C2211yescharacteristic
96#14583226C2211yescharacteristic
97#14583222C2211yescharacteristic
98#14583221C2211yescharacteristic
99#14583218C2211yescharacteristic
100#14583209C2211yescharacteristic
101#14583208C2211yescharacteristic
102#14583208C2211yescharacteristic
103#14583207C2211yescharacteristic
104#14583207C2211yescharacteristic
105#14583205C2211yescharacteristic
106#14583204C2211yescharacteristic
107#14583198C2211yescharacteristic
108#14583193C2211yescharacteristic
109#14583182C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583155C2211yescharacteristic
112#14583155C2211yescharacteristic
113#14583147C2211yescharacteristic
114#14583147C2211yescharacteristic
115#14583146C2211yescharacteristic
116#14583144C2211yescharacteristic
117#14583142C2211yescharacteristic
118#14583141C2211yescharacteristic
119#14583131C2211yescharacteristic
120#14583127C2211yescharacteristic
121#14583125C2211yescharacteristic
122#14583122C2211yescharacteristic
123#14583122C2211yescharacteristic
124#14583120C2211yescharacteristic
125#14583119C2211yescharacteristic
126#14583108C2211yescharacteristic
127#14583107C2211yescharacteristic
128#14583107C2211yescharacteristic
129#14583103C2211yescharacteristic
130#14583098C2211yescharacteristic
131#14583097C2211yescharacteristic
132#14583064C2211yescharacteristic
133#14583060C2211yescharacteristic
134#14583057C2211yescharacteristic
135#14583056C2211yescharacteristic
136#14583056C2211yescharacteristic
137#14583053C2211yescharacteristic
138#14583040C2211yescharacteristic
139#14583039C2211yescharacteristic
140#14583036C2211yescharacteristic
141#14583036C2211yescharacteristic
142#14583028C2211yescharacteristic
143#14583028C2211yescharacteristic
144#14583007C2211yescharacteristic
145#14583007C2211yescharacteristic
146#14583006C2211yescharacteristic
147#14583005C2211yescharacteristic
148#14583004C2211yescharacteristic
149#14583004C2211yescharacteristic
150#14583003C2211yescharacteristic
151#14583002C2211yescharacteristic
152#14583001C2211yescharacteristic
153#14583001C2211yescharacteristic
154#14582999C2211yescharacteristic
155#14582999C2211yescharacteristic
156Q16×Dic43C2211yescharacteristic
157C4×#10621885C2211yescharacteristic
158C4×#10621885C2211yescharacteristic
159C4×#10621885C2211yescharacteristic
160C4×#10621885C2211yescharacteristic
161#14582991C2211yescharacteristic
162#14582991C2211yescharacteristic
163C4×#10621884C2211yescharacteristic
164C4×#10621884C2211yescharacteristic
165#14582986C2211yescharacteristic
166C4×#10621883C2211yescharacteristic
167C4×#10621883C2211yescharacteristic
168#14582974C2211yescharacteristic
169#14582974C2211yescharacteristic
170#14582973C2211yescharacteristic
171#14582973C2211yescharacteristic
172#14582969C2211yescharacteristic
173#14582969C2211yescharacteristic
174#14582961C2211yescharacteristic
175#14582961C2211yescharacteristic
176#14582942C2211yescharacteristic
177#14582938C2211yescharacteristic
178#14582934C2211yescharacteristic
179#14582907C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582906C2211yescharacteristic
182#14582900C2211yescharacteristic
183#14582894C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582856C2211yescharacteristic
187C4×#10621877C2211yescharacteristic
188C43×#533C2211yescharacteristic
189C4×#41×C43C2211yescharacteristic
190C43×#485C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#477C2211yescharacteristic
193C43×#476C2211yescharacteristic
194C43×#462C2211yescharacteristic
195C43×#461C2211yescharacteristic
196C43×#452C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#441C2211yescharacteristic
199C43×#441C2211yescharacteristic
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#432C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C22×Dic86C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208#13063357—24no—
209#13063355—24no—
210C2×Dic172C2311yescharacteristic
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216Q16×D43—24no—
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621877C2311yescharacteristic
224C2×#10621877C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063324—21no—
230#13063324—21no—
231#13063324—21no—
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063323—21no—
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063321—21no—
238#13063321C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063319—21no—
246#13063319—21no—
247#13063319—21no—
248#13063319D411yescharacteristic
249#13063319D411yescharacteristic
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063317—21no—
254#13063317—21no—
255#13063317—21no—
256#13063317—21no—
257#13063317D411yescharacteristic
258#13063317C2311yescharacteristic
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063314—21no—
273#13063313—21no—
274#13063313—21no—
275#13063313D411yescharacteristic
276#13063313C2311yescharacteristic
277#13063312—21no—
278#13063312C2311yescharacteristic
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063309—21no—
283#13063309—21no—
284#13063308—21no—
285#13063308—21no—
286#13063308—21no—
287#13063308—21no—
288#13063308—21no—
289#13063308D411yescharacteristic
290#13063308D411yescharacteristic
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063305—21no—
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063304—21no—
299#13063304—21no—
300#13063304D411yescharacteristic
301#13063304C2311yescharacteristic
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063302—21no—
307#13063302—21no—
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063300—21no—
311#13063300C2311yescharacteristic
312#13063299—21no—
313#13063299—21no—
314#13063299D411yescharacteristic
315#13063299C2311yescharacteristic
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063296—21no—
320#13063296—21no—
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323Q8×Dic43—21no—
324Q8×Dic43—21no—
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86—21no—
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290—21no—
344#13063290—21no—
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172—21no—
349C4×D172—21no—
350C4×D172C2311yescharacteristic
351C4×D172C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43C2311yescharacteristic
361C4×C22⋊D43C2311yescharacteristic
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063282—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282—21no—
377#13063282C2311yescharacteristic
378#13063282C2311yescharacteristic
379#13063281—21no—
380#13063281—21no—
381C2×C4⋊Dic43C2311yescharacteristic
382C2×Dic43⋊C4—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C2×C4×Dic43—21no—
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#125×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43C2311yescharacteristic
448C22⋊Q8×C43C2311yescharacteristic
449C4×Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C42×C43—21no—
462C2×C42×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#41×C43—22no—
482#41×C43—41no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2×D411yescharacteristic
493C22×C4×C43C2×D411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C22×Dic43—21no—
503C22×Dic43—21no—
504#10621902—22no—
505#10621902—41no—
506Q8×D43—22no—
507Q8×D43—22no—
508Q8×D43—22no—
509Q8×D43—41no—
510Q8×D43—41no—
511Q8×D43—41no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172C2×D411yescharacteristic
515C2×D172C2411yescharacteristic
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×D43—21no—
523C2×C4×D43C2411yescharacteristic
524C2×C4×D43C2411yescharacteristic
525C2×Dic86—22no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—41no—
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—22no—
537Q16×C43—22no—
538SD16×C43—41no—
539SD16×C43—41no—
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C42×C43—21no—
563C42×C43—21no—
564C42×C43—21no—
565C42×C43—21no—
566C42×C43—21no—
567C42×C43C2×D411yescharacteristic
568C42×C43C2×D411yescharacteristic
569C42×C43C2411yescharacteristic
570C42×C43C2411yescharacteristic
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43C2×D411yescharacteristic
577C22⋊Dic43C2×D411yescharacteristic
578#10621885—22no—
579#10621885—22no—
580#10621885—41no—
581#10621885#4114yes—
582#10621884—22no—
583#10621884—41no—
584#10621883—22no—
585#10621883—22no—
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)⋊C4—21no—
600(C2×D43)⋊C4C2×D411yescharacteristic
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
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×Dic43—21no—
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672#10621877—22no—
673#10621877—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—41no—
680#10621873—22no—
681#10621873—41no—
682#10621872—22no—
683#10621872—41no—
684C8×D43—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C22×D43—21no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—42no—
697Q8×C43C2×#4112yes—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—42no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—41no—
711C2×C4×C43—41no—
712C2×C4×C43—42no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—41no—
722C22⋊D43—41no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—42no—
736C2×Dic43—42no—
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743D172—21no—
744D172—21no—
745D172—41no—
746D172—42no—
747D172—81no—
748C4×D43—21no—
749C4×D43—21no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—42no—
753C4×D43—42no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759Dic86—21no—
760Dic86—21no—
761Dic86—21no—
762Dic86—21no—
763Dic86—21no—
764Dic86—41no—
765Dic86—42no—
766Dic86—42no—
767Dic86—42no—
768Dic86—42no—
769Dic86—81no—
770Dic86C2×#4112yes—
771C8×C43—21no—
772C8×C43—21no—
773C8×C43—21no—
774C8×C43—21no—
775C43⋊C8—21no—
776C43⋊C8—21no—
777C43⋊C8—21no—
778C43⋊C8C2×#4112yes—
779#61512—431nomaximal, Sylow
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43C23×D411yescharacteristic
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C4×C43—21no—
797C4×C43—21no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—22no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43C22×#4111yescharacteristic
809C4×C43#58511yescharacteristic
810Dic43—21no—
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—22no—
815Dic43—21no—
816Dic43—21no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823#3524—431no—
824#3523—431no—
825#3400—431no—
826#3390—431no—
827#3374—431no—
828#3371—431no—
829#3352—431no—
830#3350—431no—
831#3348—431no—
832#3329—431no—
833#3327—431no—
834#3320—431no—
835#3317—431no—
836#3313—431no—
837#3312—431no—
838#3278—431no—
839#3270—431no—
840#3270—431no—
841#3178—431no—
842#3174—431no—
843#3172—431no—
844#3127—431no—
845#3126—431no—
846#3121—431no—
847#3120—431no—
848#3117—431no—
849#3116D4311yescharacteristic, complemented
850#2967—431no—
851#2950—431no—
852#2947—431no—
853C4×#137—431no—
854C2×C43—41no—
855C2×C43—81no—
856C2×C43D4×#4111yescharacteristic
857C2×C43#358611yescharacteristic
858C2×C43#358611yescharacteristic
859D43—41no—
860D43—41no—
861D43—81no—
862C2×#137—431no—
863C2×#137—431no—
864C22×Q16—431no—
865#559—431no—
866#559—861no—
867#557—431no—
868#557—431no—
869#557—431no—
870#557—861no—
871#556—431no—
872#556—861no—
873#555—431no—
874#555—861no—
875#553—431no—
876#553—861no—
877#552—431no—
878#552—431no—
879#552—431no—
880#552—861no—
881#552—861no—
882#552—861no—
883#550—431no—
884D4×Q8—431no—
885D4×Q8—431no—
886D4×Q8—431no—
887#548—431no—
888#548—431no—
889#542—431no—
890#542—861no—
891#541—431no—
892#541—431no—
893#541—861no—
894#541—861no—
895#540—431no—
896#540—861no—
897#533—861no—
898#533C2×D4311yescharacteristic
899#529—431no—
900#529—431no—
901#529—861no—
902#529—861no—
903#529—861no—
904#520—431no—
905#519—431no—
906#519—431no—
907#519—431no—
908C4×#41C2×D4311yescharacteristic
909C2×C4×Q8—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#497—431no—
914#497—431no—
915#492—431no—
916#491—431no—
917#491—431no—
918#490—431no—
919#489—431no—
920#488—431no—
921#487—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485C2×D4311yescharacteristic
926#485C2×D4311yescharacteristic
927#484—431no—
928#484—431no—
929#483—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#481—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#478—431no—
942#477—431no—
943#477C2×D4311yescharacteristic
944#476C2×D4311yescharacteristic
945#475—431no—
946#470—431no—
947#470—431no—
948#470—431no—
949#468—431no—
950#468—431no—
951#468—431no—
952#468—431no—
953#468—431no—
954#467—431no—
955#465—431no—
956#465—431no—
957#465—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#462—431no—
963#462—431no—
964#462—431no—
965#462C2×D4311yescharacteristic
966#461—431no—
967#461C2×D4311yescharacteristic
968#460—431no—
969#460—431no—
970#452—431no—
971#452—431no—
972#452C2×D4311yescharacteristic
973#452C2×D4311yescharacteristic
974#451—431no—
975#451—431no—
976#451—431no—
977#451—431no—
978#448—431no—
979#448—431no—
980#448—431no—
981#448—431no—
982#446—431no—
983#446—431no—
984#441—431no—
985#441—431no—
986#441—431no—
987#441—431no—
988#441—431no—
989#441—431no—
990#441—431no—
991#441C2×D4311yescharacteristic
992#441C2×D4311yescharacteristic
993#440—431no—
994#440—431no—
995#440—431no—
996#440—431no—
997#440—431no—
998#440C2×D4311yescharacteristic
999#440C2×D4311yescharacteristic
1000C4×Q16—431no—
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012#436—431no—
1013#436—431no—
1014#435—431no—
1015#435—431no—
1016#435—431no—
1017#435—431no—
1018#433—431no—
1019#433—431no—
1020#432C2×D4311yescharacteristic
1021#428—431no—
1022#428—431no—
1023#427—431no—
1024#419—431no—
1025#419—431no—
1026#419—431no—
1027#417—431no—
1028#416—431no—
1029C2×#103—431no—
1030#405—431no—
1031#405—431no—
1032C4×M16—431no—
1033C43#6151211yescharacteristic, complemented, Sylow
1034C2×#41—431no—
1035C2×#41C22×D4311yescharacteristic
1036C22×Q8—431no—
1037C22×Q8—431no—
1038C22×Q8—431no—
1039C22×Q8—431no—
1040#137—864no—
1041#137—864no—
1042C2×Q16—431no—
1043C2×Q16—431no—
1044C2×Q16—431no—
1045C2×Q16—431no—
1046C2×Q16—431no—
1047C2×Q16—431no—
1048C2×Q16—864no—
1049C2×Q16C22×D4311yescharacteristic
1050C2×Q16C22×D4311yescharacteristic
1051C2×SD16—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16C22×D4311yescharacteristic
1058C2×SD16C22×D4311yescharacteristic
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16—431no—
1063C22×C8—431no—
1064C22×C8—431no—
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—431no—
1068C4⋊Q8—861no—
1069C4⋊Q8—861no—
1070C4⋊Q8—861no—
1071C4⋊Q8—861no—
1072C4⋊Q8—861no—
1073C4⋊Q8C22×D4311yescharacteristic
1074C4⋊Q8C22×D4311yescharacteristic
1075#127—431no—
1076#127—861no—
1077#126—431no—
1078#126—431no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#125—21no—
1092#125—431no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—431no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#124—431no—
1112#124—431no—
1113#124—431no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#123—431no—
1122#123—431no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133C22⋊Q8—21no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8C22×D4311yescharacteristic
1151C22⋊Q8C22×D4311yescharacteristic
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165C4×Q8—21no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×Q8C22×D4311yescharacteristic
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4C22×D4311yescharacteristic
1214C4×D4C22×D4311yescharacteristic
1215#117—21no—
1216#117—21no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117C22×D4311yescharacteristic
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C42—21no—
1240C2×C42—861no—
1241C2×C42C22×D4311yescharacteristic
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107C22×D4311yescharacteristic
1249#107C22×D4311yescharacteristic
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8C22×D4311yescharacteristic
1263C4⋊C8C22×D4311yescharacteristic
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8C22×D4311yescharacteristic
1301C22⋊C8C22×D4311yescharacteristic
1302#97—431no—
1303#97—431no—
1304#97—431no—
1305#97—431no—
1306#97C22×D4311yescharacteristic
1307#97C22×D4311yescharacteristic
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8—431no—
1312#41—22no—
1313#41—41no—
1314#41—862no—
1315#41—1721no—
1316C2×Q8—21no—
1317C2×Q8—431no—
1318C2×Q8—431no—
1319C2×Q8—431no—
1320C2×Q8—431no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—862no—
1326C2×Q8—861no—
1327C2×Q8—862no—
1328C2×Q8—862no—
1329C2×Q8—862no—
1330C2×Q8—1721no—
1331C2×Q8—1721no—
1332C2×Q8—1721no—
1333C2×Q8—1721no—
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×Q8C23×D4311yescharacteristic
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4C23×D4311yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4D4×D4311yescharacteristic
1365C22×C4D4×D4311yescharacteristic
1366C22×C4C23×D4311yescharacteristic
1367Q16—22no—
1368Q16—22no—
1369Q16—434no—
1370Q16—862no—
1371Q16—862no—
1372Q16—862no—
1373Q16—1721no—
1374Q16—1721no—
1375SD16—41no—
1376SD16—41no—
1377SD16—862no—
1378SD16—862no—
1379SD16—862no—
1380SD16—862no—
1381SD16—1721no—
1382SD16—1721no—
1383M16—862no—
1384M16—862no—
1385M16—1721no—
1386M16—1721no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—431no—
1391C2×C8—862no—
1392C2×C8—1721no—
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C2×C8C23×D4311yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
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—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
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⋊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⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—431no—
1465C22⋊C4—431no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—431no—
1497C42—431no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42D4×D4311yescharacteristic
1514C42D4×D4311yescharacteristic
1515C42C23×D4311yescharacteristic
1516C42C23×D4311yescharacteristic
1517C23—21no—
1518C23—431no—
1519C23—431no—
1520C23—861no—
1521C23C2×D4×D4311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—42no—
1528Q8—432no—
1529Q8—861no—
1530Q8—861no—
1531Q8—861no—
1532Q8—861no—
1533Q8—861no—
1534Q8—3441no—
1535Q8—1721no—
1536Q8—1722no—
1537Q8—1722no—
1538Q8—1722no—
1539Q8—1722no—
1540Q8#41×D4312yes—
1541D4—21no—
1542D4—21no—
1543D4—42no—
1544D4—861no—
1545D4—861no—
1546D4—3441no—
1547D4—3441no—
1548D4—3441no—
1549D4—3441no—
1550D4—3441no—
1551D4—3441no—
1552D4—1721no—
1553D4—1722no—
1554D4—1721no—
1555D4—1721no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—431no—
1573C2×C4—431no—
1574C2×C4—431no—
1575C2×C4—431no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—1722no—
1591C2×C4—1722no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C2×D4×D4311yescharacteristic
1601C2×C4C24×D4311yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—432no—
1607C8—861no—
1608C8—861no—
1609C8—861no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—861no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22C22×D4×D4311yescharacteristic
1626C4—21no—
1627C4—22no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—861no—
1639C4—861no—
1640C4—862no—
1641C4—861no—
1642C4—861no—
1643C4—861no—
1644C4—861no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4C2×#41×D4311yescharacteristic
1652C4#1458373511yescharacteristic
1653C2—41no—
1654C2—81no—
1655C2—3441no—
1656C2—1721no—
1657C2—1721no—
1658C2#1914807811yescharacteristic
1659C2#1914937811yescharacteristic
1660C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3116C2
socleC22×C43C23×D4
prime radical#19148704C2
hypercenter#3116D43
hypocenterC43#61512
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3116

Complements

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

NH ≅ G/Ntype
2. #19148683C2semidirect
3. #19147643C2semidirect
4. #19147557C2semidirect
5. #19147393C2semidirect
6. #19147370C2semidirect
7. #19147163C2semidirect
8. #19147147C2semidirect
9. #19147103C2semidirect
10. #19146887C2semidirect
11. #19146856C2semidirect
12. #19146773C2semidirect
13. #19146714C2semidirect
14. #19146658C2semidirect
15. #19146649C2semidirect
16. #19146254C2semidirect
17. #19146171C2semidirect
18. #19146163C2semidirect
19. #19145261C2semidirect
20. #19145221C2semidirect
21. #19145195C2semidirect
22. #19144894C2semidirect
23. #19144885C2semidirect
24. #19144822C2semidirect
25. #19144807C2semidirect
26. #19144768C2semidirect
27. #19143575C2semidirect
28. #19143460C2semidirect
29. #19143437C2semidirect
30. C4×#13063355C2semidirect
31. C43×#3116C2semidirect
849. #3116D43semidirect
1033. C43#61512semidirect

Maximal subgroups

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

subgroupindex
#191487042
#191486832
#191476432
#191475572
#191473932
#191473702
#191471632
#191471472
#191471032
#191468872
#191468562
#191467732
#191467142
#191466582
#191466492
#191462542
#191461712
#191461632
#191452612
#191452212
#191451952
#191448942
#191448852
#191448222
#191448072
#191447682
#191435752
#191434602
#191434372
C4×#130633552
C43×#31162
#6151243