Finite Group Databasebeta

← #25987419

Subgroups — #25987419

Order 11008.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149003C211yesmaximal, characteristic, complemented
2#19148408C211yesmaximal, characteristic, complemented
3#19147519C211yesmaximal, characteristic, complemented
4#19147517C211yesmaximal, characteristic, complemented
5#19147506C211yesmaximal, characteristic, complemented
6#19147500C211yesmaximal, characteristic, complemented
7Q16×Dic86C211yesmaximal, characteristic, complemented
8#19147476C211yesmaximal, characteristic, complemented
9D8×Dic86C211yesmaximal, characteristic, complemented
10#19147445C211yesmaximal, characteristic, complemented
11#19147410C211yesmaximal, characteristic, complemented
12#19147404C211yesmaximal, characteristic, complemented
13#19147314C211yesmaximal, characteristic, complemented
14#19147308C211yesmaximal, characteristic, complemented
15#19147281C211yesmaximal, characteristic, complemented
16#19147275C211yesmaximal, characteristic, complemented
17#19147256C211yesmaximal, characteristic, complemented
18#19147250C211yesmaximal, characteristic, complemented
19#19145882C211yesmaximal, characteristic, complemented
20#19145880C211yesmaximal, characteristic, complemented
21#19145874C211yesmaximal, characteristic, complemented
22#19145872C211yesmaximal, characteristic, complemented
23#19145744C211yesmaximal, characteristic, complemented
24#19145714C211yesmaximal, characteristic, complemented
25#19144858C211yesmaximal, characteristic, complemented
26#19144857C211yesmaximal, characteristic, complemented
27#19144850C211yesmaximal, characteristic, complemented
28#19144659C211yesmaximal, characteristic, complemented
29#19144648C211yesmaximal, characteristic
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3124C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583650—21no—
34#14583632C2211yescharacteristic
35#14583631C2211yescharacteristic
36Q8×Dic86C2211yescharacteristic
37Q8×Dic86C2211yescharacteristic
38Q8×Dic86C2211yescharacteristic
39#14583629C2211yescharacteristic
40#14583625C2211yescharacteristic
41#14583625C2211yescharacteristic
42#14583621C2211yescharacteristic
43#14583618C2211yescharacteristic
44#14583616—21no—
45#14583608—21no—
46#14583608—21no—
47#14583608C2211yescharacteristic
48#14583608C2211yescharacteristic
49D4×Dic86—21no—
50D4×Dic86—21no—
51D4×Dic86C2211yescharacteristic
52D4×Dic86C2211yescharacteristic
53D4×Dic86C2211yescharacteristic
54#14583564C2211yescharacteristic
55#14583562—21no—
56#14583530—21no—
57#14583530C2211yescharacteristic
58#14583527—21no—
59#14583527C2211yescharacteristic
60#14583522C2211yescharacteristic
61#14583520C2211yescharacteristic
62#14583517—21no—
63#14583516C2211yescharacteristic
64#14583513—21no—
65#14583471—21no—
66#14583469—21no—
67#14583452—21no—
68#14583452C2211yescharacteristic
69#14583451C2211yescharacteristic
70#14583444C2211yescharacteristic
71C2×#13063324—21no—
72C2×#13063324C2211yescharacteristic
73#14583382C2211yescharacteristic
74#41×Dic43C2211yescharacteristic
75#14583308C2211yescharacteristic
76#14583307C2211yescharacteristic
77#14583307C2211yescharacteristic
78#14583305C2211yescharacteristic
79#14583304C2211yescharacteristic
80#14583303C2211yescharacteristic
81#14583303C2211yescharacteristic
82#14583303C2211yescharacteristic
83#14583303C2211yescharacteristic
84#14583303C2211yescharacteristic
85#14583303C2211yescharacteristic
86#14583302C2211yescharacteristic
87#14583260C2211yescharacteristic
88#14583259C2211yescharacteristic
89#14583258C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583255C2211yescharacteristic
92#14583254C2211yescharacteristic
93#14583253C2211yescharacteristic
94#14583252C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583248C2211yescharacteristic
97#14583244C2211yescharacteristic
98#14583244C2211yescharacteristic
99#14583241C2211yescharacteristic
100#14583237C2211yescharacteristic
101#14583235C2211yescharacteristic
102#14583234C2211yescharacteristic
103#14583232C2211yescharacteristic
104#14583224C2211yescharacteristic
105#14583220C2211yescharacteristic
106#14583213C2211yescharacteristic
107#14583212C2211yescharacteristic
108#14583210C2211yescharacteristic
109#14583207C2211yescharacteristic
110#14583206C2211yescharacteristic
111#14583205C2211yescharacteristic
112#14583204C2211yescharacteristic
113#14583202C2211yescharacteristic
114#14583201C2211yescharacteristic
115#14583200C2211yescharacteristic
116#14583199C2211yescharacteristic
117#14583195C2211yescharacteristic
118#14583194C2211yescharacteristic
119#14583194C2211yescharacteristic
120#14583193C2211yescharacteristic
121#14583193C2211yescharacteristic
122#14583193C2211yescharacteristic
123#14583192C2211yescharacteristic
124#14583192C2211yescharacteristic
125#14583192C2211yescharacteristic
126#14583192C2211yescharacteristic
127#14583192C2211yescharacteristic
128#14583192C2211yescharacteristic
129#14583187C2211yescharacteristic
130#14583182C2211yescharacteristic
131#14583180C2211yescharacteristic
132#14583179C2211yescharacteristic
133#14583179C2211yescharacteristic
134#14583178C2211yescharacteristic
135#14583178C2211yescharacteristic
136#14583178C2211yescharacteristic
137#14583177C2211yescharacteristic
138#14583177C2211yescharacteristic
139#14583177C2211yescharacteristic
140#14583177C2211yescharacteristic
141#14583177C2211yescharacteristic
142#14583177C2211yescharacteristic
143#14583123C2211yescharacteristic
144#14583121C2211yescharacteristic
145#14583119C2211yescharacteristic
146#14583116C2211yescharacteristic
147#14583114C2211yescharacteristic
148#14583112C2211yescharacteristic
149#14583107C2211yescharacteristic
150#14583102C2211yescharacteristic
151#14583097C2211yescharacteristic
152#14583092C2211yescharacteristic
153#14583061C2211yescharacteristic
154#14583044C2211yescharacteristic
155#14583028C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583027C2211yescharacteristic
158#14583027C2211yescharacteristic
159C8×Dic86C2211yescharacteristic
160C8×Dic86C2211yescharacteristic
161#14583023C2211yescharacteristic
162#14583023C2211yescharacteristic
163#14583002C2211yescharacteristic
164#14583000C2211yescharacteristic
165#14583000C2211yescharacteristic
166#14582999C2211yescharacteristic
167#14582997C2211yescharacteristic
168#14582996C2211yescharacteristic
169Q16×Dic43C2211yescharacteristic
170Q16×Dic43C2211yescharacteristic
171C4×#10621885C2211yescharacteristic
172#14582991C2211yescharacteristic
173#14582991C2211yescharacteristic
174#14582990C2211yescharacteristic
175SD16×Dic43C2211yescharacteristic
176SD16×Dic43C2211yescharacteristic
177#14582984C2211yescharacteristic
178D8×Dic43C2211yescharacteristic
179D8×Dic43C2211yescharacteristic
180C4×#10621882C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#484C2211yescharacteristic
191C43×#480C2211yescharacteristic
192C43×#477C2211yescharacteristic
193C43×#474C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#452C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#440C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621900—21no—
204C22×Dic86—21no—
205C22×Dic86—21no—
206C22×Dic86—21no—
207C22×Dic86—21no—
208C2×Q8×D43—21no—
209C2×#10621885C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621884C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213#13063325—21no—
214#13063325—21no—
215#13063325—21no—
216#13063325C2311yescharacteristic
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324—21no—
229#13063324—21no—
230#13063324—21no—
231#13063324—21no—
232#13063324D411yescharacteristic
233#13063324D411yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063324C2311yescharacteristic
244#13063323—21no—
245#13063323—21no—
246#13063323C2311yescharacteristic
247#13063321C2311yescharacteristic
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063317—21no—
256#13063317—21no—
257#13063317C2311yescharacteristic
258#13063317C2311yescharacteristic
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316D411yescharacteristic
264#13063316D411yescharacteristic
265#13063316C2311yescharacteristic
266#13063316C2311yescharacteristic
267#13063315—21no—
268#13063314C2311yescharacteristic
269#13063313C2311yescharacteristic
270#13063312—21no—
271#13063312C2311yescharacteristic
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063309—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063306—21no—
284#13063305—21no—
285#13063304—21no—
286#13063304—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304—21no—
290#13063304—21no—
291#13063304—21no—
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302D411yescharacteristic
313#13063302D411yescharacteristic
314#13063302D411yescharacteristic
315#13063302D411yescharacteristic
316#13063301—21no—
317#13063299C2311yescharacteristic
318#13063297—21no—
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335#13063290—21no—
336#13063290—21no—
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339C4×D172C2311yescharacteristic
340D4×Dic43—21no—
341D4×Dic43—21no—
342D4×Dic43—21no—
343D4×Dic43—21no—
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352C4×C22⋊D43—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355#13063284—21no—
356#13063284—21no—
357#13063284C2311yescharacteristic
358#13063284C2311yescharacteristic
359#13063282—21no—
360#13063281—21no—
361#13063281—21no—
362C2×C4⋊Dic43—21no—
363C2×C4⋊Dic43C2311yescharacteristic
364C2×Dic43⋊C4—21no—
365C2×Dic43⋊C4—21no—
366C2×Dic43⋊C4—21no—
367C2×C4×Dic43—21no—
368C2×C4×Dic43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459C2×C4⋊C4×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×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
478#41×C43—22no—
479#41×C43—22no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
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—
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43C2×D411yescharacteristic
504C22×Dic43C2×D411yescharacteristic
505Q8×D43—82no—
506#10621900—82no—
507C2×D172C2411yescharacteristic
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—82no—
525C2×Dic86—82no—
526C2×Dic86—82no—
527C2×Dic86—82no—
528C2×Dic86C2×D411yescharacteristic
529C2×Dic86C2×D411yescharacteristic
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2411yescharacteristic
533Q16×C43—22no—
534SD16×C43—22no—
535SD16×C43—22no—
536D8×C43—22no—
537C2×C8×C43C2411yescharacteristic
538C2×C8×C43C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43C2×D411yescharacteristic
548C4⋊C4×C43C2×D411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43C2×D411yescharacteristic
561C22⋊C4×C43C2×D411yescharacteristic
562C42×C43—21no—
563C42×C43—21no—
564C42×C43—21no—
565C42×C43C2411yescharacteristic
566C42×C43C2411yescharacteristic
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43C2×D411yescharacteristic
578C22⋊Dic43C2×D411yescharacteristic
579#10621885—22no—
580#10621884—22no—
581#10621883—22no—
582#10621882—22no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
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—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43C2×D411yescharacteristic
604C4⋊Dic43C2×D411yescharacteristic
605C4⋊Dic43C2×D411yescharacteristic
606C4⋊Dic43C2×D411yescharacteristic
607C4⋊Dic43C2×D411yescharacteristic
608C4⋊Dic43C2×D411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
614C4⋊Dic43C2411yescharacteristic
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43C2×D411yescharacteristic
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C4×Dic43C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C23×C43—21no—
666C23×C43—21no—
667C23×C43C22×D411yescharacteristic
668C22×D43—21no—
669Q8×C43—21no—
670Q8×C43—21no—
671Q8×C43—21no—
672Q8×C43—81no—
673Q8×C432−1+412yes—
674D4×C43—24no—
675D4×C43—21no—
676D4×C43—21no—
677D4×C43—21no—
678D4×C43—81no—
679D4×C432−1+412yes—
680C2×C4×C43—24no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—81no—
690C2×C4×C43—81no—
691C2×C4×C43—81no—
692C2×C4×C43—81no—
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C22×D411yescharacteristic
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C2511yescharacteristic
699C22⋊D43—42no—
700C22⋊D43—81no—
701C22⋊D43—81no—
702C2×Dic43—22no—
703C2×Dic43—22no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—42no—
712C2×Dic43—42no—
713C2×Dic43—42no—
714C2×Dic43—81no—
715C2×Dic43—81no—
716C2×Dic43—81no—
717C2×Dic43—81no—
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726D172—21no—
727D172—21no—
728C4×D43—42no—
729C4×D43—81no—
730C4×D43—81no—
731Dic86—22no—
732Dic86—22no—
733Dic86—22no—
734Dic86—22no—
735Dic86—21no—
736Dic86—21no—
737Dic86—42no—
738Dic86—42no—
739Dic86—42no—
740Dic86—81no—
741Dic86—81no—
742Dic86—81no—
743Dic86—81no—
744Dic86—81no—
745Dic86—81no—
746Dic86—81no—
747Dic86—81no—
748Dic86—81no—
749Dic86—81no—
750C8×C43—21no—
751C8×C43—21no—
752C8×C43—21no—
753C8×C43—21no—
754C43⋊C8—21no—
755C43⋊C8—21no—
756C43⋊C8—21no—
757C43⋊C8—21no—
758#61870—431nomaximal, Sylow
759C22×C43—22no—
760C22×C43—21no—
761C22×C43—21no—
762C22×C43—21no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43C23×D411yescharacteristic
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C4×C43—21no—
773C4×C43—22no—
774C4×C43—21no—
775C4×C43—21no—
776C4×C43—21no—
777C4×C43—21no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43C2×2−1+411yescharacteristic
784C4×C43C2×2−1+411yescharacteristic
785Dic43—21no—
786Dic43—21no—
787Dic43—21no—
788Dic43—21no—
789Dic43—21no—
790Dic43—21no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43#57612yes—
799Dic43#57812yes—
800#3550—431no—
801#3503—431no—
802#3386—431no—
803#3386—431no—
804#3385—431no—
805#3385—431no—
806Q8×Q16—431no—
807Q8×Q16—431no—
808Q8×D8—431no—
809Q8×D8—431no—
810#3375—431no—
811#3375—431no—
812#3367—431no—
813#3367—431no—
814#3364—431no—
815#3364—431no—
816#3361—431no—
817#3361—431no—
818#3243—431no—
819#3243—431no—
820#3243—431no—
821#3243—431no—
822#3230—431no—
823#3226—431no—
824#3124—431no—
825#3124—431no—
826#3124—431no—
827#3124D4311yescharacteristic, complemented
828#3107—431no—
829#3106—431no—
830#2986—431no—
831C2×C43—41no—
832C2×C43—42no—
833C2×C43—81no—
834C2×C43#348611yescharacteristic
835C2×C43C2×#57611yescharacteristic
836C2×C43C2×#57811yescharacteristic
837D43—81no—
838#563—861no—
839#563—861no—
840#559—431no—
841#559—431no—
842Q82—431no—
843Q82—431no—
844Q82—431no—
845Q82—431no—
846#557—431no—
847#557—431no—
848#556—431no—
849#556—431no—
850#556—861no—
851#554—431no—
852#554—431no—
853#554—861no—
854#554—861no—
855D4×Q8—431no—
856D4×Q8—431no—
857D4×Q8—431no—
858D4×Q8—431no—
859D4×Q8—861no—
860D4×Q8—861no—
861D4×Q8—861no—
862#544—431no—
863#544—431no—
864#544—861no—
865#544—861no—
866#542—431no—
867#542—431no—
868#542—431no—
869#542—861no—
870#542—861no—
871#542C2×D4311yescharacteristic
872#536—861no—
873#536—861no—
874#533—431no—
875#533—431no—
876#533—861no—
877#532—431no—
878C2×C4⋊Q8—431no—
879C2×C4⋊Q8—861no—
880#520—431no—
881#520C2×D4311yescharacteristic
882C4×#41—431no—
883#501—431no—
884#501—431no—
885#501—431no—
886#501—431no—
887#500—431no—
888#500—431no—
889#500—431no—
890#500—431no—
891#500—431no—
892#500—431no—
893#500—431no—
894#500—431no—
895#489—431no—
896#489—431no—
897#489—431no—
898#489—431no—
899#488—431no—
900#488—431no—
901#488—431no—
902#488—431no—
903#487—431no—
904#487—431no—
905#486—431no—
906#486—431no—
907#485—431no—
908#485—431no—
909#484—431no—
910#484—431no—
911#484—431no—
912#484C2×D4311yescharacteristic
913#482—431no—
914#482—431no—
915#480—431no—
916#480—431no—
917#480—431no—
918#480C2×D4311yescharacteristic
919#479—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#477—431no—
928#477—431no—
929#477—431no—
930#477—431no—
931#477—431no—
932#477—431no—
933#477—431no—
934#477—431no—
935#477—431no—
936#477—431no—
937#477—431no—
938#477—431no—
939#477C2×D4311yescharacteristic
940#476—431no—
941#475—431no—
942#474—431no—
943#474—431no—
944#474—431no—
945#474—431no—
946#474—431no—
947#474—431no—
948#474—431no—
949#474—431no—
950#474—431no—
951#474—431no—
952#474—431no—
953#474—431no—
954#474C2×D4311yescharacteristic
955#464—431no—
956#464—431no—
957#464—431no—
958#464C2×D4311yescharacteristic
959#463—431no—
960#463—431no—
961#463—431no—
962#463C2×D4311yescharacteristic
963#462—431no—
964#461—431no—
965#460—431no—
966#459—431no—
967#452—431no—
968#452C2×D4311yescharacteristic
969#449—431no—
970#449C2×D4311yescharacteristic
971#446—431no—
972#446—431no—
973#446—431no—
974#446—431no—
975C8×Q8—431no—
976C8×Q8—431no—
977C8×Q8—431no—
978C8×Q8—431no—
979#440—431no—
980#440—431no—
981#440—431no—
982#440—431no—
983#440—431no—
984#440—431no—
985#440C2×D4311yescharacteristic
986#440C2×D4311yescharacteristic
987C4×Q16—431no—
988C4×Q16—431no—
989C4×Q16—431no—
990C4×Q16—431no—
991C4×Q16—431no—
992C4×Q16C2×D4311yescharacteristic
993C4×SD16—431no—
994C4×SD16—431no—
995C4×SD16—431no—
996C4×SD16—431no—
997C4×D8—431no—
998C4×D8—431no—
999C4×D8—431no—
1000C4×D8—431no—
1001C4×D8—431no—
1002C4×D8C2×D4311yescharacteristic
1003#433—431no—
1004#433—431no—
1005#433—431no—
1006#433C2×D4311yescharacteristic
1007#431—431no—
1008#431—431no—
1009C43#6187011yescharacteristic, complemented, Sylow
1010C2×#41—861no—
1011C2×#41C22×D4311yescharacteristic
1012C22×Q8—861no—
1013C22×Q8—861no—
1014C22×Q8—861no—
1015C22×Q8—861no—
1016C22×Q8—861no—
1017C2×Q16—431no—
1018C2×Q16C22×D4311yescharacteristic
1019C2×SD16—431no—
1020C2×SD16—431no—
1021C2×SD16C22×D4311yescharacteristic
1022C2×SD16C22×D4311yescharacteristic
1023C2×D8—431no—
1024C2×D8C22×D4311yescharacteristic
1025C4⋊Q8—431no—
1026C4⋊Q8—431no—
1027C4⋊Q8—431no—
1028C4⋊Q8—431no—
1029C4⋊Q8—431no—
1030C4⋊Q8—431no—
1031C4⋊Q8—431no—
1032C4⋊Q8—431no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—431no—
1039C4⋊Q8—431no—
1040C4⋊Q8—431no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8—861no—
1045C4⋊Q8—861no—
1046C4⋊Q8—861no—
1047C4⋊Q8—861no—
1048C4⋊Q8—861no—
1049C4⋊Q8—861no—
1050C4⋊Q8—861no—
1051C4⋊Q8—861no—
1052C4⋊Q8—861no—
1053C4⋊Q8—861no—
1054C4⋊Q8—861no—
1055C4⋊Q8—861no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8C22×D4311yescharacteristic
1060#127—431no—
1061#126—21no—
1062#126—861no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#125—431no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—431no—
1074#125—431no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#124—21no—
1083#124—431no—
1084#124—431no—
1085#124—431no—
1086#124—861no—
1087#124—861no—
1088#124—861no—
1089#124—861no—
1090#124—861no—
1091#124—861no—
1092#124C22×D4311yescharacteristic
1093#123—21no—
1094#123—861no—
1095#123—861no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099#123—861no—
1100#123—861no—
1101C22⋊Q8—21no—
1102C22⋊Q8—431no—
1103C22⋊Q8—431no—
1104C22⋊Q8—431no—
1105C22⋊Q8—431no—
1106C22⋊Q8—431no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
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—
1135C22⋊Q8C22×D4311yescharacteristic
1136#121—431no—
1137#121—861no—
1138#121C22×D4311yescharacteristic
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8—431no—
1150C4×Q8—431no—
1151C4×Q8—431no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8C22×D4311yescharacteristic
1160C4×Q8C22×D4311yescharacteristic
1161C4×Q8C22×D4311yescharacteristic
1162C4×D4—21no—
1163C4×D4—21no—
1164C4×D4—431no—
1165C4×D4—431no—
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4C22×D4311yescharacteristic
1181C4×D4C22×D4311yescharacteristic
1182C4×D4C22×D4311yescharacteristic
1183#117—21no—
1184#117—431no—
1185#117—431no—
1186#117—861no—
1187#117—861no—
1188#117—861no—
1189#117—861no—
1190#117—861no—
1191#117C22×D4311yescharacteristic
1192C2×C4⋊C4—21no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—861no—
1195C2×C4⋊C4—861no—
1196C2×C4⋊C4—861no—
1197C2×C4⋊C4—861no—
1198C2×C4⋊C4C22×D4311yescharacteristic
1199C2×C42—431no—
1200C2×C42—861no—
1201#107—431no—
1202#107—431no—
1203#107—431no—
1204#107—431no—
1205#107—431no—
1206#107—431no—
1207#107—431no—
1208#107—431no—
1209#107—431no—
1210#107—431no—
1211#107—431no—
1212#107—431no—
1213#107—431no—
1214#107—431no—
1215#107—431no—
1216#107—431no—
1217#107C22×D4311yescharacteristic
1218#107C22×D4311yescharacteristic
1219#107C22×D4311yescharacteristic
1220#107C22×D4311yescharacteristic
1221#106—431no—
1222#106—431no—
1223#106—431no—
1224#106—431no—
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8—431no—
1229C4⋊C8—431no—
1230C4⋊C8—431no—
1231C4⋊C8—431no—
1232C4⋊C8—431no—
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8C22×D4311yescharacteristic
1236C4⋊C8C22×D4311yescharacteristic
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103C22×D4311yescharacteristic
1250#103C22×D4311yescharacteristic
1251#103C22×D4311yescharacteristic
1252#103C22×D4311yescharacteristic
1253#102—431no—
1254#102—431no—
1255#102—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—431no—
1264#102—431no—
1265#102C22×D4311yescharacteristic
1266#102C22×D4311yescharacteristic
1267#102C22×D4311yescharacteristic
1268#102C22×D4311yescharacteristic
1269C22⋊C8—431no—
1270C22⋊C8—431no—
1271C22⋊C8C22×D4311yescharacteristic
1272C22⋊C8C22×D4311yescharacteristic
1273#97—431no—
1274#97—431no—
1275#97—431no—
1276#97C22×D4311yescharacteristic
1277C4×C8—431no—
1278C4×C8—431no—
1279C4×C8—431no—
1280C4×C8—431no—
1281C4×C8—431no—
1282C4×C8—431no—
1283C4×C8—431no—
1284C4×C8C22×D4311yescharacteristic
1285#41—22no—
1286#41—22no—
1287#41—3442no—
1288C2×Q8—21no—
1289C2×Q8—431no—
1290C2×Q8—431no—
1291C2×Q8—431no—
1292C2×Q8—431no—
1293C2×Q8—431no—
1294C2×Q8—861no—
1295C2×Q8—861no—
1296C2×Q8—861no—
1297C2×Q8—861no—
1298C2×Q8—861no—
1299C2×Q8—861no—
1300C2×Q8—861no—
1301C2×Q8—861no—
1302C2×Q8—861no—
1303C2×Q8—861no—
1304C2×Q8—861no—
1305C2×Q8—861no—
1306C2×Q8—861no—
1307C2×Q8—3442no—
1308C2×Q8—3442no—
1309C2×Q8—3442no—
1310C2×Q8—3442no—
1311C2×Q8—3442no—
1312C2×Q8C23×D4311yescharacteristic
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—431no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4C23×D4311yescharacteristic
1321C2×D4C23×D4311yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4—861no—
1336C22×C4—861no—
1337C22×C4—861no—
1338C22×C4—861no—
1339C22×C4C23×D4311yescharacteristic
1340Q16—22no—
1341Q16—862no—
1342SD16—22no—
1343SD16—22no—
1344SD16—862no—
1345SD16—862no—
1346D8—22no—
1347D8—862no—
1348C2×C8—431no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—431no—
1352C2×C8C23×D4311yescharacteristic
1353C2×C8C23×D4311yescharacteristic
1354C2×C8C23×D4311yescharacteristic
1355C2×C8C23×D4311yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
1364C4⋊C4—431no—
1365C4⋊C4—431no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4D4×D4311yescharacteristic
1417C4⋊C4D4×D4311yescharacteristic
1418C4⋊C4C23×D4311yescharacteristic
1419C4⋊C4C23×D4311yescharacteristic
1420C4⋊C4C23×D4311yescharacteristic
1421C4⋊C4C23×D4311yescharacteristic
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—431no—
1430C22⋊C4—431no—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4D4×D4311yescharacteristic
1450C22⋊C4D4×D4311yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—431no—
1455C42—431no—
1456C42—431no—
1457C42—431no—
1458C42—431no—
1459C42—431no—
1460C42—861no—
1461C42—861no—
1462C42—861no—
1463C42—861no—
1464C42—861no—
1465C42—861no—
1466C42—861no—
1467C42—861no—
1468C42—861no—
1469C42—861no—
1470C42C23×D4311yescharacteristic
1471C42C23×D4311yescharacteristic
1472C23—21no—
1473C23—21no—
1474C23—861no—
1475C23C2×D4×D4311yescharacteristic
1476Q8—21no—
1477Q8—21no—
1478Q8—21no—
1479Q8—81no—
1480Q8—862no—
1481Q8—862no—
1482Q8—862no—
1483Q8—862no—
1484Q8—861no—
1485Q8—861no—
1486Q8—3441no—
1487Q8—3441no—
1488Q8—3441no—
1489Q8—3441no—
1490Q8—3441no—
1491Q8—3441no—
1492Q8—3441no—
1493Q8—3441no—
1494Q8—3441no—
1495Q8—3441no—
1496Q8—1722no—
1497Q8—1722no—
1498Q8—1722no—
1499Q8#1306337212yes—
1500D4—24no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—81no—
1505D4—861no—
1506D4—861no—
1507D4—3441no—
1508D4—3441no—
1509D4—1722no—
1510D4#1306337212yes—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—81no—
1523C2×C4—81no—
1524C2×C4—431no—
1525C2×C4—431no—
1526C2×C4—431no—
1527C2×C4—431no—
1528C2×C4—431no—
1529C2×C4—431no—
1530C2×C4—431no—
1531C2×C4—431no—
1532C2×C4—862no—
1533C2×C4—862no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—3441no—
1542C2×C4—3441no—
1543C2×C4—3441no—
1544C2×C4—3441no—
1545C2×C4—3441no—
1546C2×C4—3441no—
1547C2×C4—1722no—
1548C2×C4—1722no—
1549C2×C4—1722no—
1550C2×C4—1722no—
1551C2×C4C2×D4×D4311yescharacteristic
1552C2×C4C2×D4×D4311yescharacteristic
1553C2×C4C2×D4×D4311yescharacteristic
1554C2×C4C2×D4×D4311yescharacteristic
1555C2×C4C2×D4×D4311yescharacteristic
1556C2×C4C24×D4311yescharacteristic
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—861no—
1562C8—861no—
1563C8—861no—
1564C8—861no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—22no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22C22×D4×D4311yescharacteristic
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—432no—
1590C4—432no—
1591C4—861no—
1592C4—861no—
1593C4—861no—
1594C4—861no—
1595C4—861no—
1596C4—861no—
1597C4—1721no—
1598C4—1721no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4C2×#1306337211yescharacteristic
1605C4C2×#1306337211yescharacteristic
1606C2—41no—
1607C2—42no—
1608C2—81no—
1609C2—3441no—
1610C2#1914824211yescharacteristic
1611C2#576×D4311yescharacteristic
1612C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3124C2
socleC22×C43C23×D4
prime radical#19144648C2
hypercenter#3124D43
hypocenterC43#61870
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #19149003C2semidirect
2. #19148408C2semidirect
3. #19147519C2semidirect
4. #19147517C2semidirect
5. #19147506C2semidirect
6. #19147500C2semidirect
7. Q16×Dic86C2semidirect
8. #19147476C2semidirect
9. D8×Dic86C2semidirect
10. #19147445C2semidirect
11. #19147410C2semidirect
12. #19147404C2semidirect
13. #19147314C2semidirect
14. #19147308C2semidirect
15. #19147281C2semidirect
16. #19147275C2semidirect
17. #19147256C2semidirect
18. #19147250C2semidirect
19. #19145882C2semidirect
20. #19145880C2semidirect
21. #19145874C2semidirect
22. #19145872C2semidirect
23. #19145744C2semidirect
24. #19145714C2semidirect
25. #19144858C2semidirect
26. #19144857C2semidirect
27. #19144850C2semidirect
28. #19144659C2semidirect
30. #19143694C2semidirect
31. C43×#3124C2semidirect
827. #3124D43semidirect
1009. C43#61870semidirect

Maximal subgroups

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

subgroupindex
#191490032
#191484082
#191475192
#191475172
#191475062
#191475002
Q16×Dic862
#191474762
D8×Dic862
#191474452
#191474102
#191474042
#191473142
#191473082
#191472812
#191472752
#191472562
#191472502
#191458822
#191458802
#191458742
#191458722
#191457442
#191457142
#191448582
#191448572
#191448502
#191446592
#191446482
#191436942
C43×#31242
#6187043