Finite Group Databasebeta

← #25979531

Subgroups — #25979531

Order 11008.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148682C211yesmaximal, characteristic, complemented
2#19148631C211yesmaximal, characteristic
3#19147623C211yesmaximal, characteristic, complemented
4#19147517C211yesmaximal, characteristic, complemented
5#19147275C211yesmaximal, characteristic, complemented
6#19147232C211yesmaximal, characteristic, complemented
7#19147174C211yesmaximal, characteristic, complemented
8#19147056C211yesmaximal, characteristic, complemented
9#19147052C211yesmaximal, characteristic, complemented
10#19146505C211yesmaximal, characteristic, complemented
11#19146471C211yesmaximal, characteristic, complemented
12#19146464C211yesmaximal, characteristic, complemented
13#19146453C211yesmaximal, characteristic, complemented
14#19146434C211yesmaximal, characteristic, complemented
15#19146430C211yesmaximal, characteristic, complemented
16#19146235C211yesmaximal, characteristic, complemented
17#19146105C211yesmaximal, characteristic, complemented
18#19145260C211yesmaximal, characteristic, complemented
19#19145256C211yesmaximal, characteristic, complemented
20#19145176C211yesmaximal, characteristic, complemented
21#19144821C211yesmaximal, characteristic, complemented
22#19144817C211yesmaximal, characteristic, complemented
23#19144806C211yesmaximal, characteristic, complemented
24#19144802C211yesmaximal, characteristic, complemented
25#19144720C211yesmaximal, characteristic, complemented
26#19144689C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143439C211yesmaximal, characteristic, complemented
29#19143435C211yesmaximal, characteristic, complemented
30C2×SD16×Dic43C211yesmaximal, characteristic, complemented
31C43×#3266C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33#14583625C2211yescharacteristic, complemented
34#14583624—21no—
35#14583624C2211yescharacteristic, complemented
36#14583620—21no—
37#14583620C2211yescharacteristic, complemented
38#14583618C2211yescharacteristic
39#14583607C2211yescharacteristic
40#14583606C2211yescharacteristic
41#14583591—21no—
42#14583591C2211yescharacteristic
43#14583589—21no—
44#14583589C2211yescharacteristic
45#14583586—21no—
46#14583580—21no—
47#14583575—21no—
48D4×Dic86C2211yescharacteristic
49Q8×C22⋊D43C2211yescharacteristic
50Q8×C22⋊D43C2211yescharacteristic, complemented
51#14583555—21no—
52#14583549C2211yescharacteristic
53#14583548C2211yescharacteristic
54#14583543C2211yescharacteristic
55#14583518C2211yescharacteristic
56#14583516C2211yescharacteristic
57#14583510—21no—
58#14583510C2211yescharacteristic, complemented
59#14583509—21no—
60#14583509C2211yescharacteristic, complemented
61#14583494—21no—
62#14583493—21no—
63#14583451—21no—
64#14583451C2211yescharacteristic
65#14583451C2211yescharacteristic
66#14583429—21no—
67#14583429C2211yescharacteristic
68#14583405—21no—
69C2×#13063302—21no—
70#14583382C2211yescharacteristic
71#14583378C2211yescharacteristic
72#14583377C2211yescharacteristic, complemented
73#14583375C2211yescharacteristic, complemented
74C2×Q8×Dic43C2211yescharacteristic
75C2×D4×Dic43C2211yescharacteristic
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583303C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic
80#14583277C2211yescharacteristic, complemented
81#14583253C2211yescharacteristic
82#14583252C2211yescharacteristic
83#14583249C2211yescharacteristic, complemented
84#14583248C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583235C2211yescharacteristic
90#14583233C2211yescharacteristic, complemented
91#14583232C2211yescharacteristic
92#14583232C2211yescharacteristic, complemented
93#14583230C2211yescharacteristic
94#14583230C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic
97#14583222C2211yescharacteristic
98#14583220C2211yescharacteristic
99#14583207C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic
102#14583199C2211yescharacteristic
103#14583194C2211yescharacteristic, complemented
104#14583192C2211yescharacteristic, complemented
105#14583185C2211yescharacteristic, complemented
106#14583182C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583182C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583177C2211yescharacteristic
111#14583157C2211yescharacteristic, complemented
112#14583154C2211yescharacteristic, complemented
113#14583142C2211yescharacteristic
114#14583140C2211yescharacteristic
115#14583138C2211yescharacteristic
116#14583138C2211yescharacteristic
117#14583138C2211yescharacteristic, complemented
118#14583137C2211yescharacteristic, complemented
119#14583126C2211yescharacteristic
120#14583125C2211yescharacteristic
121#14583119C2211yescharacteristic
122#14583119C2211yescharacteristic
123#14583118C2211yescharacteristic
124#14583107C2211yescharacteristic, complemented
125#14583107C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583106C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic
129#14583102C2211yescharacteristic
130#14583102C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583058C2211yescharacteristic
133#14583058C2211yescharacteristic
134#14583055C2211yescharacteristic
135#14583055C2211yescharacteristic, complemented
136#14583053C2211yescharacteristic, complemented
137#14583050C2211yescharacteristic
138#14583036C2211yescharacteristic
139#14583027C2211yescharacteristic, complemented
140#14583023C2211yescharacteristic, complemented
141#14583007C2211yescharacteristic, complemented
142#14583006C2211yescharacteristic, complemented
143#14583006C2211yescharacteristic, complemented
144#14583006C2211yescharacteristic, complemented
145#14583003C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147#14583000C2211yescharacteristic
148#14583000C2211yescharacteristic
149#14583000C2211yescharacteristic
150#14582996C2211yescharacteristic
151#14582996C2211yescharacteristic
152Q16×Dic43C2211yescharacteristic, complemented
153Q16×Dic43C2211yescharacteristic, complemented
154#14582993C2211yescharacteristic, complemented
155C4×#10621885C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic
159SD16×Dic43C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic
164SD16×Dic43C2211yescharacteristic
165SD16×Dic43C2211yescharacteristic
166SD16×Dic43C2211yescharacteristic
167C4×#10621883C2211yescharacteristic
168#14582975C2211yescharacteristic, complemented
169#14582970C2211yescharacteristic
170D4×C43⋊C8C2211yescharacteristic
171(C22⋊D43)⋊C8C2211yescharacteristic
172(C22⋊D43)⋊C8C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic
176#14582941C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178C2×#13063257C2211yescharacteristic
179#14582895C2211yescharacteristic
180#14582892C2211yescharacteristic
181C2×#13063249C2211yescharacteristic
182C2×#13063249C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C22×SD16×C43C2211yescharacteristic
190D4×Q8×C43C2211yescharacteristic
191C43×#546C2211yescharacteristic
192C43×#497C2211yescharacteristic
193C43×#468C2211yescharacteristic
194C43×#467C2211yescharacteristic
195C43×#464C2211yescharacteristic
196C43×#461C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#451C2211yescharacteristic
199C43×#450C2211yescharacteristic
200C43×#448C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#435C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C22×Dic86—21no—
206C2×Q8×D43C2311yescharacteristic
207C23×Dic43—21no—
208#13063354—24no—
209C2×Dic172C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C22×C43⋊C8C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220#13063325C2311yescharacteristic
221#13063324—21no—
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063323—21no—
226#13063323—21no—
227#13063323C2311yescharacteristic
228#13063323C2311yescharacteristic
229#13063323C2311yescharacteristic
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320D411yescharacteristic
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318D411yescharacteristic
244#13063317—21no—
245#13063317C2311yescharacteristic
246#13063316—21no—
247#13063316—21no—
248#13063316—21no—
249#13063316—21no—
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315D411yescharacteristic
262#13063312—21no—
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311D411yescharacteristic
267#13063309—21no—
268#13063309—21no—
269#13063309D411yescharacteristic
270#13063308—21no—
271#13063307—21no—
272#13063306—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306D411yescharacteristic
278#13063305—21no—
279#13063304—21no—
280#13063304—21no—
281#13063304—21no—
282#13063304C2311yescharacteristic
283#13063304C2311yescharacteristic
284#13063304C2311yescharacteristic
285#13063304C2311yescharacteristic
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302D411yescharacteristic
298#13063301—21no—
299#13063301—21no—
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063297—21no—
304#13063297—21no—
305#13063297D411yescharacteristic
306#13063296C2311yescharacteristic
307#13063294—21no—
308Q8×Dic43—21no—
309Q8×Dic43—21no—
310Q8×Dic43—21no—
311Q8×Dic43—21no—
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290—21no—
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43C2311yescharacteristic
347C4×C22⋊D43C2311yescharacteristic
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350#13063284—21no—
351#13063284—21no—
352#13063284—21no—
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063283—21no—
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282C2311yescharacteristic
359#13063281—21no—
360#13063281—21no—
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365C2×C4⋊Dic43—21no—
366C2×C4⋊Dic43—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×C4⋊Dic43C2311yescharacteristic
369C2×C4⋊Dic43C2311yescharacteristic
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43C2311yescharacteristic
373C2×C22⋊Dic43—21no—
374C2×C22⋊Dic43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C22×Q8×C43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440#137×C43—24no—
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×SD16×C43—24no—
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C22×C8×C43C2311yescharacteristic
453C4⋊Q8×C43—21no—
454C4⋊Q8×C43C2311yescharacteristic
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463#121×C43C2311yescharacteristic
464#120×C43—21no—
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43—21no—
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43—22no—
487C2×Q8×C43—22no—
488C2×Q8×C43—41no—
489C2×Q8×C43—41no—
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—22no—
498C2×D4×C43—41no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—82no—
522C22×Dic43C2×D411yescharacteristic
523C22×Dic43C2×D411yescharacteristic
524Q8×D43—22no—
525Q8×D43—41no—
526#10621900—22no—
527#10621900—41no—
528#10621900—82no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—82no—
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541Q16×C43—22no—
542Q16×C43—22no—
543Q16×C43—41no—
544SD16×C43—22no—
545SD16×C43—22no—
546SD16×C43—22no—
547SD16×C43—22no—
548SD16×C43—41no—
549SD16×C43#4114yescomplemented
550M16×C43—22no—
551C2×C8×C43—22no—
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43C2×D411yescharacteristic
573C22⋊C4×C43C2×D411yescharacteristic
574C42×C43—21no—
575C42×C43C2411yescharacteristic
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593#10621885—22no—
594#10621885—41no—
595#10621885—41no—
596#10621885—41no—
597#10621883—22no—
598#10621883—41no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607C4⋊Dic43—21no—
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⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
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
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8—41no—
681C2×C43⋊C8—41no—
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686Dic172—22no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—42no—
692C23×C43—42no—
693C23×C43—81no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C22×D43C22×D411yescharacteristic
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—42no—
705Q8×C43—42no—
706Q8×C43C2×#4112yes—
707D4×C43—22no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—81no—
714D4×C43C2×#4112yes—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—42no—
726C2×C4×C43—42no—
727C2×C4×C43—42no—
728C2×C4×C43—81no—
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—22no—
735C22⋊D43—22no—
736C22⋊D43—42no—
737C22⋊D43—81no—
738C2×Dic43—22no—
739C2×Dic43—22no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—42no—
749C2×Dic43—42no—
750C2×Dic43—42no—
751C2×Dic43—42no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—42no—
767C4×D43—81no—
768Dic86—22no—
769Dic86—21no—
770Dic86—21no—
771Dic86—21no—
772Dic86—21no—
773Dic86—42no—
774Dic86—42no—
775Dic86—42no—
776Dic86—81no—
777Dic86—81no—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43C2×#4112yes—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786#61497—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—22no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—84no—
799C22×C43#57812yes—
800C22×C43C23×D411yescharacteristic
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C4×C43—22no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43C22×#4111yescharacteristic
815C4×C43#58511yescharacteristic
816Dic43—21no—
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—41no—
830Dic43#57712yes—
831#3523—431no—
832#3520—431no—
833#3398—431no—
834#3386—431no—
835#3364—431no—
836#3359—431no—
837#3353—431no—
838#3344—431no—
839#3344—431no—
840#3302—431no—
841#3299—431no—
842#3299—431no—
843#3298—431no—
844#3296—431no—
845#3296—431no—
846#3276—431no—
847#3266—431no—
848#3266D4311yescharacteristic, complemented
849#3178—431no—
850#3178—431no—
851#3170—431no—
852#3121—431no—
853#3121—431no—
854#3120—431no—
855#3120—431no—
856#3113—431no—
857#3110—431no—
858#2966—431no—
859#2947—431no—
860#2947—431no—
861C2×C4×SD16—431no—
862C2×C43—22no—
863C2×C43—41no—
864C2×C43—42no—
865C2×C43—81no—
866C2×C43D4×#4111yescharacteristic
867C2×C43C2×#57711yescharacteristic
868C2×C43C2×#57811yescharacteristic
869D43—41no—
870C2×#137—431no—
871C2×#137C2×D4311yescharacteristic
872C22×SD16C2×D4311yescharacteristic
873#557—431no—
874#557—431no—
875#557—861no—
876#556—431no—
877#556—431no—
878#556—861no—
879#554—431no—
880#554—431no—
881#552—431no—
882#552—431no—
883#552—861no—
884#552—861no—
885#552—861no—
886#551—861no—
887#551—861no—
888D4×Q8—431no—
889D4×Q8—431no—
890D4×Q8—431no—
891D4×Q8C2×D4311yescharacteristic
892#548—861no—
893#547—431no—
894#547—431no—
895#546—431no—
896#546C2×D4311yescharacteristic
897#542—431no—
898#542—431no—
899#541—431no—
900#541—431no—
901#541—861no—
902#541—861no—
903#539—861no—
904#539—861no—
905#533—431no—
906#533—431no—
907#533—861no—
908#529—431no—
909#529—861no—
910#525—861no—
911C2×C22⋊Q8—861no—
912#520—431no—
913#520—431no—
914#519—431no—
915#519—431no—
916C2×C4×Q8—431no—
917C2×C4×D4—431no—
918#501—431no—
919#501—431no—
920#500—431no—
921#497—431no—
922#497C2×D4311yescharacteristic
923#494—431no—
924#488—431no—
925#488—431no—
926#487—431no—
927#487—431no—
928#487—431no—
929#487—431no—
930#485—431no—
931#485—431no—
932#484—431no—
933#484—431no—
934#484—431no—
935#484—431no—
936#483—431no—
937#483—431no—
938#483—431no—
939#483—431no—
940#482—431no—
941#482—431no—
942#479—431no—
943#479—431no—
944#478—431no—
945#478—431no—
946#477—431no—
947#477—431no—
948#475—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#474—431no—
953#474—431no—
954#470—431no—
955#470—431no—
956#468—431no—
957#468C2×D4311yescharacteristic
958#467—431no—
959#467—431no—
960#467—431no—
961#467—431no—
962#467—431no—
963#467C2×D4311yescharacteristic
964#465—431no—
965#465—431no—
966#464—431no—
967#464—431no—
968#464—431no—
969#464C2×D4311yescharacteristic
970#462—431no—
971#462—431no—
972#462—431no—
973#462—431no—
974#461—431no—
975#461—431no—
976#461—431no—
977#461C2×D4311yescharacteristic
978#452—431no—
979#452—431no—
980#452—431no—
981#452C2×D4311yescharacteristic
982#451—431no—
983#451—431no—
984#451—431no—
985#451C2×D4311yescharacteristic
986#450—431no—
987#450C2×D4311yescharacteristic
988#448—431no—
989#448C2×D4311yescharacteristic
990#446—431no—
991C8×Q8—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003#440C2×D4311yescharacteristic
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020#436—431no—
1021#435—431no—
1022#435C2×D4311yescharacteristic
1023C8×D4—431no—
1024C8×D4—431no—
1025C8×D4—431no—
1026#433—431no—
1027#433—431no—
1028#432—431no—
1029#428—431no—
1030#428—431no—
1031C2×#106—431no—
1032#416—431no—
1033#416—431no—
1034C2×#103—431no—
1035C2×#103—431no—
1036C2×#103—431no—
1037C2×#102—431no—
1038#405—431no—
1039#405—431no—
1040C2×C4×C8—431no—
1041C43#6149711yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C2×#41C22×D4311yescharacteristic
1045C22×Q8—431no—
1046C22×Q8—861no—
1047C22×Q8C22×D4311yescharacteristic
1048C22×Q8C22×D4311yescharacteristic
1049C22×D4C22×D4311yescharacteristic
1050C23×C4—861no—
1051#137—24no—
1052#137—864no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16C22×D4311yescharacteristic
1059C2×Q16C22×D4311yescharacteristic
1060C2×Q16C22×D4311yescharacteristic
1061C2×SD16—24no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×M16—431no—
1071C2×M16C22×D4311yescharacteristic
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8C22×D4311yescharacteristic
1076C4⋊Q8—21no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8C22×D4311yescharacteristic
1088#126—431no—
1089#126—431no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
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#125—431no—
1103#125—431no—
1104#125—431no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
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#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124C22×D4311yescharacteristic
1126#123—21no—
1127#123—431no—
1128#123—431no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8C22×D4311yescharacteristic
1166C22⋊Q8C22×D4311yescharacteristic
1167C22⋊Q8C22×D4311yescharacteristic
1168#121—21no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121C22×D4311yescharacteristic
1174#120—21no—
1175#120—861no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8C22×D4311yescharacteristic
1202C4×D4—21no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4C22×D4311yescharacteristic
1221C4×D4C22×D4311yescharacteristic
1222#117—431no—
1223#117—431no—
1224#117—431no—
1225#117—431no—
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#117—861no—
1235#117—861no—
1236#117—861no—
1237C2×C4⋊C4—431no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C22⋊C4—21no—
1246C2×C22⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249C2×C42—861no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107C22×D4311yescharacteristic
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8—431no—
1270C4⋊C8—431no—
1271C4⋊C8C22×D4311yescharacteristic
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#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#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102C22×D4311yescharacteristic
1303#102C22×D4311yescharacteristic
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8C22×D4311yescharacteristic
1309C22⋊C8C22×D4311yescharacteristic
1310#97—431no—
1311#97—431no—
1312#97—431no—
1313#97C22×D4311yescharacteristic
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8—431no—
1320C24—21no—
1321#41—22no—
1322#41—41no—
1323#41—862no—
1324#41—3442no—
1325#41—1721no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—41no—
1331C2×Q8—41no—
1332C2×Q8—431no—
1333C2×Q8—431no—
1334C2×Q8—431no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—861no—
1338C2×Q8—861no—
1339C2×Q8—861no—
1340C2×Q8—862no—
1341C2×Q8—3442no—
1342C2×Q8—1721no—
1343C2×Q8C23×D4311yescharacteristic
1344C2×Q8C23×D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—41no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4D4×D4311yescharacteristic
1357C2×D4C23×D4311yescharacteristic
1358C2×D4C23×D4311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—3442no—
1378C22×C4C23×D4311yescharacteristic
1379C22×C4C23×D4311yescharacteristic
1380Q16—22no—
1381Q16—22no—
1382Q16—41no—
1383Q16—862no—
1384Q16—862no—
1385Q16—1721no—
1386Q16—1721no—
1387Q16—1721no—
1388SD16—22no—
1389SD16—22no—
1390SD16—22no—
1391SD16—22no—
1392SD16—41no—
1393SD16—862no—
1394SD16—1721no—
1395SD16#1062190014yescomplemented
1396M16—22no—
1397M16—862no—
1398C2×C8—22no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—1721no—
1404C2×C8—1721no—
1405C2×C8—1721no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
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—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⋊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⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4D4×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1505C22⋊C4D4×D4311yescharacteristic
1506C42—21no—
1507C42—431no—
1508C42—431no—
1509C42—431no—
1510C42—431no—
1511C42—431no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42C23×D4311yescharacteristic
1528C23—21no—
1529C23—21no—
1530C23—42no—
1531C23—42no—
1532C23—81no—
1533C23—431no—
1534C23C2×D4×D4311yescharacteristic
1535C23C2×D4×D4311yescharacteristic
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—42no—
1544Q8—42no—
1545Q8—862no—
1546Q8—861no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—3441no—
1551Q8—3441no—
1552Q8—1722no—
1553Q8—1722no—
1554Q8—1722no—
1555Q8C2×#1062190012yes—
1556D4—22no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—42no—
1561D4—42no—
1562D4—81no—
1563D4—862no—
1564D4—862no—
1565D4—3441no—
1566D4—1722no—
1567D4C2×#1062190012yes—
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—21no—
1578C2×C4—42no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—81no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—862no—
1590C2×C4—862no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4—1722no—
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C2×D4×D4311yescharacteristic
1616C2×C4C24×D4311yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—861no—
1621C8—861no—
1622C8—861no—
1623C8—861no—
1624C8C2×#1062190012yes—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—22no—
1630C22—21no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—84no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22#1458371512yes—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—22no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—432no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—1721no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4C22×#1062190011yescharacteristic
1668C4#1458373411yescharacteristic
1669C2—22no—
1670C2—41no—
1671C2—42no—
1672C2—81no—
1673C2—1721no—
1674C2D4×#1062190011yescharacteristic
1675C2#577×D4311yescharacteristic
1676C2C2×#1458371511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3266C2
socleC22×C43C23×D4
prime radical#19148631C2
hypercenter#3266D43
hypocenterC43#61497
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #19148682C2semidirect
3. #19147623C2semidirect
4. #19147517C2semidirect
5. #19147275C2semidirect
6. #19147232C2semidirect
7. #19147174C2semidirect
8. #19147056C2semidirect
9. #19147052C2semidirect
10. #19146505C2semidirect
11. #19146471C2semidirect
12. #19146464C2semidirect
13. #19146453C2semidirect
14. #19146434C2semidirect
15. #19146430C2semidirect
16. #19146235C2semidirect
17. #19146105C2semidirect
18. #19145260C2semidirect
19. #19145256C2semidirect
20. #19145176C2semidirect
21. #19144821C2semidirect
22. #19144817C2semidirect
23. #19144806C2semidirect
24. #19144802C2semidirect
25. #19144720C2semidirect
26. #19144689C2semidirect
27. #19143565C2semidirect
28. #19143439C2semidirect
29. #19143435C2semidirect
30. C2×SD16×Dic43C2semidirect
31. C43×#3266C2semidirect
33. #14583625C22semidirect
35. #14583624C22semidirect
37. #14583620C22semidirect
50. Q8×C22⋊D43C22semidirect
58. #14583510C22semidirect
60. #14583509C22semidirect
72. #14583377C22semidirect
73. #14583375C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583303C22semidirect
80. #14583277C22semidirect
83. #14583249C22semidirect
84. #14583248C22semidirect
85. #14583248C22semidirect
86. #14583248C22semidirect
87. #14583241C22semidirect
88. #14583238C22semidirect
90. #14583233C22semidirect
92. #14583232C22semidirect
94. #14583230C22semidirect
95. #14583228C22semidirect
99. #14583207C22semidirect
100. #14583204C22semidirect
103. #14583194C22semidirect
104. #14583192C22semidirect
105. #14583185C22semidirect
106. #14583182C22semidirect
107. #14583182C22semidirect
108. #14583182C22semidirect
111. #14583157C22semidirect
112. #14583154C22semidirect
117. #14583138C22semidirect
118. #14583137C22semidirect
124. #14583107C22semidirect
125. #14583107C22semidirect
126. #14583107C22semidirect
127. #14583106C22semidirect
135. #14583055C22semidirect
136. #14583053C22semidirect
139. #14583027C22semidirect
140. #14583023C22semidirect
141. #14583007C22semidirect
142. #14583006C22semidirect
143. #14583006C22semidirect
144. #14583006C22semidirect
145. #14583003C22semidirect
146. #14583003C22semidirect
152. Q16×Dic43C22semidirect
153. Q16×Dic43C22semidirect
154. #14582993C22semidirect
155. C4×#10621885C22semidirect
156. #14582991C22semidirect
157. #14582991C22semidirect
168. #14582975C22semidirect
172. (C22⋊D43)⋊C8C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
176. #14582941C22semidirect
177. #14582940C22semidirect
182. C2×#13063249C22semidirect
183. #103×D43C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
549. SD16×C43#41semidirect
848. #3266D43semidirect
1041. C43#61497semidirect
1395. SD16#10621900semidirect

Maximal subgroups

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

subgroupindex
#191486822
#191486312
#191476232
#191475172
#191472752
#191472322
#191471742
#191470562
#191470522
#191465052
#191464712
#191464642
#191464532
#191464342
#191464302
#191462352
#191461052
#191452602
#191452562
#191451762
#191448212
#191448172
#191448062
#191448022
#191447202
#191446892
#191435652
#191434392
#191434352
C2×SD16×Dic432
C43×#32662
#6149743