Finite Group Databasebeta

← #25979554

Subgroups — #25979554

Order 11008.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148671C211yesmaximal, characteristic, complemented
2#19148614C211yesmaximal, characteristic, complemented
3#19147634C211yesmaximal, characteristic, complemented
4#19147506C211yesmaximal, characteristic, complemented
5#19147261C211yesmaximal, characteristic, complemented
6#19147250C211yesmaximal, characteristic, complemented
7#19147216C211yesmaximal, characteristic, complemented
8#19147071C211yesmaximal, characteristic, complemented
9#19147067C211yesmaximal, characteristic, complemented
10#19146538C211yesmaximal, characteristic, complemented
11#19146501C211yesmaximal, characteristic, complemented
12#19146497C211yesmaximal, characteristic, complemented
13#19146412C211yesmaximal, characteristic, complemented
14#19146408C211yesmaximal, characteristic, complemented
15#19146401C211yesmaximal, characteristic, complemented
16#19146209C211yesmaximal, characteristic, complemented
17#19146090C211yesmaximal, characteristic, complemented
18#19145275C211yesmaximal, characteristic, complemented
19#19145271C211yesmaximal, characteristic, complemented
20#19145169C211yesmaximal, characteristic, complemented
21#19144795C211yesmaximal, characteristic, complemented
22#19144793C211yesmaximal, characteristic, complemented
23#19144780C211yesmaximal, characteristic, complemented
24#19144778C211yesmaximal, characteristic, complemented
25#19144712C211yesmaximal, characteristic, complemented
26#19144681C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143428C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30C2×SD16×Dic43C211yesmaximal, characteristic, complemented
31C43×#3265C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33#14583631—21no—
34#14583631C2211yescharacteristic, complemented
35Q8×Dic86C2211yescharacteristic, complemented
36#14583613C2211yescharacteristic
37#14583608C2211yescharacteristic
38#14583607—21no—
39#14583607C2211yescharacteristic, complemented
40#14583601C2211yescharacteristic
41#14583595C2211yescharacteristic
42#14583592—21no—
43#14583569C2211yescharacteristic
44#14583568C2211yescharacteristic, complemented
45#14583560C2211yescharacteristic, complemented
46#14583553—21no—
47#14583553C2211yescharacteristic, complemented
48#14583549—21no—
49#14583549C2211yescharacteristic, complemented
50#14583543—21no—
51#14583536—21no—
52#14583536—21no—
53D4×C22⋊D43C2211yescharacteristic
54D4×C22⋊D43C2211yescharacteristic
55#14583522—21no—
56#14583522C2211yescharacteristic, complemented
57#14583518—21no—
58#14583518C2211yescharacteristic, complemented
59#14583503C2211yescharacteristic
60#14583502C2211yescharacteristic
61#14583486—21no—
62#14583484—21no—
63#14583444—21no—
64#14583444C2211yescharacteristic
65#14583444C2211yescharacteristic, complemented
66#14583429—21no—
67#14583429C2211yescharacteristic
68#14583405—21no—
69C2×#13063297—21no—
70#14583382C2211yescharacteristic, complemented
71#14583381C2211yescharacteristic, complemented
72#14583374C2211yescharacteristic
73#14583371C2211yescharacteristic
74C2×Q8×Dic43C2211yescharacteristic, complemented
75C2×D4×Dic43C2211yescharacteristic
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583303C2211yescharacteristic, complemented
79#14583285C2211yescharacteristic, complemented
80#14583274C2211yescharacteristic, complemented
81#14583255C2211yescharacteristic, complemented
82#14583253C2211yescharacteristic, complemented
83#14583245C2211yescharacteristic, complemented
84#14583244C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583224C2211yescharacteristic, complemented
90#14583222C2211yescharacteristic, complemented
91#14583218C2211yescharacteristic, complemented
92#14583218C2211yescharacteristic, complemented
93#14583216C2211yescharacteristic, complemented
94#14583215C2211yescharacteristic, complemented
95#14583213C2211yescharacteristic, complemented
96#14583211C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic, complemented
99#14583206C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583192C2211yescharacteristic, complemented
105#14583190C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic
107#14583187C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583179C2211yescharacteristic
110#14583177C2211yescharacteristic
111#14583152C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583142C2211yescharacteristic, complemented
114#14583135C2211yescharacteristic, complemented
115#14583133C2211yescharacteristic, complemented
116#14583133C2211yescharacteristic, complemented
117#14583133C2211yescharacteristic, complemented
118#14583132C2211yescharacteristic, complemented
119#14583130C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583116C2211yescharacteristic
122#14583116C2211yescharacteristic, complemented
123#14583111C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic, complemented
125#14583097C2211yescharacteristic, complemented
126#14583097C2211yescharacteristic, complemented
127#14583092C2211yescharacteristic
128#14583092C2211yescharacteristic, complemented
129#14583092C2211yescharacteristic, complemented
130#14583091C2211yescharacteristic, complemented
131#14583048C2211yescharacteristic
132#14583044C2211yescharacteristic, complemented
133#14583043C2211yescharacteristic, complemented
134#14583043C2211yescharacteristic, complemented
135#14583038C2211yescharacteristic, complemented
136#14583033C2211yescharacteristic
137#14583033C2211yescharacteristic
138#14583031C2211yescharacteristic
139#14583027C2211yescharacteristic, complemented
140#14583023C2211yescharacteristic, complemented
141#14583012C2211yescharacteristic, complemented
142#14583011C2211yescharacteristic
143#14583011C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583008C2211yescharacteristic
146#14583008C2211yescharacteristic, complemented
147#14583002C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic
150#14583000C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic, complemented
152SD16×Dic43C2211yescharacteristic
153SD16×Dic43C2211yescharacteristic
154SD16×Dic43C2211yescharacteristic
155SD16×Dic43C2211yescharacteristic
156SD16×Dic43C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic, complemented
162D8×Dic43C2211yescharacteristic
163D8×Dic43C2211yescharacteristic, complemented
164#14582981C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166#14582979C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic, complemented
168#14582975C2211yescharacteristic, complemented
169#14582970C2211yescharacteristic, complemented
170D4×C43⋊C8C2211yescharacteristic, complemented
171(C22⋊D43)⋊C8C2211yescharacteristic, complemented
172(C22⋊D43)⋊C8C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178C2×#13063257C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic, complemented
181C2×#13063249C2211yescharacteristic, complemented
182C2×#13063246C2211yescharacteristic
183C2×#13063246C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C22×SD16×C43C2211yescharacteristic
190C43×#548C2211yescharacteristic, complemented
191D42×C43C2211yescharacteristic
192C43×#496C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#460C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic
198C43×#449C2211yescharacteristic, complemented
199C43×#448C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#435C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C22×C22⋊D43—21no—
210C22×C22⋊D43—21no—
211C2×D4×D43C2311yescharacteristic
212C23×Dic43—21no—
213#13063352—24no—
214C2×#10621884C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×D344C2311yescharacteristic
217C2×#10621882C2311yescharacteristic
218C2×#10621882C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C22×C43⋊C8C2311yescharacteristic
223C22×C43⋊C8C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063325—21no—
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324—21no—
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063321—21no—
233#13063321C2311yescharacteristic
234#13063321C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320D411yescharacteristic
239#13063318—21no—
240#13063318—21no—
241#13063318D411yescharacteristic
242#13063317C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063315—21no—
245#13063315D411yescharacteristic
246#13063314—21no—
247#13063314C2311yescharacteristic
248#13063312—21no—
249#13063311—21no—
250#13063311—21no—
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311D411yescharacteristic
256#13063309—21no—
257#13063309—21no—
258#13063309—21no—
259#13063309—21no—
260#13063309—21no—
261#13063309—21no—
262#13063309D411yescharacteristic
263#13063307—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063306—21no—
269#13063306—21no—
270#13063306—21no—
271#13063306D411yescharacteristic
272#13063305—21no—
273#13063305—21no—
274#13063305—21no—
275#13063304—21no—
276#13063302—21no—
277#13063302—21no—
278#13063302—21no—
279#13063302—21no—
280#13063302—21no—
281#13063302D411yescharacteristic
282#13063301—21no—
283#13063301C2311yescharacteristic
284#13063299—21no—
285#13063299—21no—
286#13063299C2311yescharacteristic
287#13063299C2311yescharacteristic
288#13063299C2311yescharacteristic
289#13063299C2311yescharacteristic
290#13063297—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297D411yescharacteristic
303#13063296—21no—
304#13063296—21no—
305#13063296—21no—
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063294—21no—
310#13063294—21no—
311#13063293—21no—
312#13063293—21no—
313Q8×Dic43—21no—
314Q8×Dic43—21no—
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324C4×D172C2311yescharacteristic
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43C2311yescharacteristic
348C4×C22⋊D43C2311yescharacteristic
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355#13063284—21no—
356#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282C2311yescharacteristic
361#13063281—21no—
362C2×C4⋊Dic43—21no—
363C2×C4⋊Dic43—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×C4⋊Dic43C2311yescharacteristic
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C2×C22⋊Dic43—21no—
371C2×C22⋊Dic43—21no—
372C2×C22⋊Dic43—21no—
373C2×(C2×D43)⋊C4—21no—
374C22⋊C4×D43—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#13063249C2311yescharacteristic
398#13063249C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
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(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×D4×C43—21no—
439C22×D4×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441AGL(1,ℤ/8)×C43—24no—
442C2×SD16×C43—24no—
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453C22×C8×C43C2311yescharacteristic
454#127×C43C2311yescharacteristic
455#124×C43—21no—
456#124×C43C2311yescharacteristic
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43—21no—
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#120×C43—21no—
465#120×C43—21no—
466C4×Q8×C43C2311yescharacteristic
467C4×D4×C43—21no—
468C4×D4×C43C2311yescharacteristic
469C4×D4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C23×D43—21no—
484#41×C43—22no—
485#41×C43—41no—
486C2×Q8×C43—21no—
487C2×Q8×C43—22no—
488C2×Q8×C43—41no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—22no—
500C2×D4×C43—22no—
501C2×D4×C43—41no—
502C2×D4×C43—41no—
503C2×D4×C43—82no—
504C2×D4×C43C2×D411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—82no—
529C2×C22⋊D43—82no—
530C2×C22⋊D43C2×D411yescharacteristic
531C2×C22⋊D43C2×D411yescharacteristic
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—21no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43—82no—
545C22×Dic43C2×D411yescharacteristic
546C22×Dic43C2×D411yescharacteristic
547#10621902—22no—
548#10621902—41no—
549#10621900—82no—
550#10621900—82no—
551#10621900—82no—
552#10621900—82no—
553#10621900—82no—
554D4×D43—22no—
555D4×D43—41no—
556C2×D172—21no—
557C2×D172C2411yescharacteristic
558C2×D172C2411yescharacteristic
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43C2411yescharacteristic
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86—21no—
569C2×Dic86—21no—
570C2×Dic86C2×D411yescharacteristic
571SD16×C43—22no—
572SD16×C43—22no—
573SD16×C43—22no—
574SD16×C43—22no—
575SD16×C43—41no—
576SD16×C43#4114yescomplemented
577D8×C43—22no—
578D8×C43—22no—
579D8×C43—41no—
580M16×C43—22no—
581C2×C8×C43—22no—
582C2×C8×C43C2411yescharacteristic
583C2×C8×C43C2411yescharacteristic
584C2×C8×C43C2411yescharacteristic
585C2×C8×C43C2411yescharacteristic
586C4⋊C4×C43—21no—
587C4⋊C4×C43—21no—
588C4⋊C4×C43C2×D411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C42×C43—21no—
601C42×C43C2411yescharacteristic
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43C2×D411yescharacteristic
616C22⋊Dic43C2×D411yescharacteristic
617C22⋊Dic43C2×D411yescharacteristic
618C22⋊Dic43C2×D411yescharacteristic
619#10621884—22no—
620#10621884—41no—
621#10621882—22no—
622#10621882—41no—
623#10621882—41no—
624#10621882—41no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2×D411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658C4⋊Dic43C2411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43C2×D411yescharacteristic
682C4×Dic43C2×D411yescharacteristic
683C4×Dic43C2411yescharacteristic
684C4×Dic43C2411yescharacteristic
685C4×Dic43C2411yescharacteristic
686C2×C43⋊C8—41no—
687C2×C43⋊C8—41no—
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692D344—22no—
693#10621872—22no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—21no—
699C23×C43—42no—
700C23×C43—42no—
701C23×C43—42no—
702C23×C43—81no—
703C23×C43—81no—
704C23×C43—81no—
705C23×C43C22×D411yescharacteristic
706C23×C43C22×D411yescharacteristic
707C22×D43—21no—
708C22×D43—21no—
709C22×D43—42no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—42no—
717Q8×C43C2×#4112yes—
718D4×C43—22no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—42no—
727D4×C43—42no—
728D4×C43—42no—
729D4×C43—42no—
730D4×C43—42no—
731D4×C43—81no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43C2×#4112yes—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—42no—
744C2×C4×C43—42no—
745C2×C4×C43—81no—
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C2511yescharacteristic
751C22⋊D43—22no—
752C22⋊D43—22no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—42no—
756C22⋊D43—42no—
757C22⋊D43—42no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C2×Dic43—22no—
768C2×Dic43—22no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—42no—
776C2×Dic43—42no—
777C2×Dic43—42no—
778C2×Dic43—81no—
779C2×Dic43—81no—
780C2×Dic43—81no—
781C2×Dic43—81no—
782C2×Dic43—81no—
783C2×Dic43—81no—
784C2×Dic43—81no—
785C2×Dic43—81no—
786C2×Dic43—81no—
787C2×Dic43C22×D411yescharacteristic
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790C2×Dic43C22×D411yescharacteristic
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794D172—21no—
795D172—21no—
796D172—21no—
797D172—21no—
798D172—42no—
799C4×D43—21no—
800C4×D43—21no—
801C4×D43—42no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807Dic86—22no—
808Dic86—81no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#61498—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—22no—
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—21no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—84no—
839C22×C43—162no—
840C22×C43#57612yes—
841C22×C43C23×D411yescharacteristic
842C2×D43—21no—
843C2×D43—21no—
844C2×D43—21no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—162no—
852C4×C43—22no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43C22×#4111yescharacteristic
861C4×C43#58511yescharacteristic
862Dic43—21no—
863Dic43—21no—
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—41no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#57712yes—
875#3522—431no—
876#3519—431no—
877#3399—431no—
878#3385—431no—
879#3362—431no—
880#3361—431no—
881#3357—431no—
882#3345—431no—
883#3345—431no—
884#3305—431no—
885#3301—431no—
886#3301—431no—
887#3295—431no—
888#3294—431no—
889#3294—431no—
890#3274—431no—
891#3265—431no—
892#3265D4311yescharacteristic, complemented
893#3179—431no—
894#3179—431no—
895#3169—431no—
896#3119—431no—
897#3119—431no—
898#3118—431no—
899#3118—431no—
900#3112—431no—
901#3109—431no—
902#2966—431no—
903#2946—431no—
904#2946—431no—
905C2×C4×SD16—431no—
906C2×C43—22no—
907C2×C43—42no—
908C2×C43—41no—
909C2×C43—81no—
910C2×C43—81no—
911C2×C43—81no—
912C2×C43D4×#4111yescharacteristic
913C2×C43C2×#57611yescharacteristic
914C2×C43C2×#57711yescharacteristic
915D43—41no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
920C22×SD16C2×D4311yescharacteristic
921#559—431no—
922#559—861no—
923Q82—431no—
924#555—431no—
925#554—431no—
926#554—431no—
927#554—861no—
928#553—431no—
929#553—431no—
930#553—861no—
931#550—431no—
932#550—431no—
933#548—431no—
934#548C2×D4311yescharacteristic, complemented
935#547—431no—
936#547—431no—
937#547—861no—
938#547—861no—
939#546—861no—
940#546—861no—
941#546—861no—
942D42—431no—
943D42—431no—
944D42C2×D4311yescharacteristic
945#542—431no—
946#542—431no—
947#542—861no—
948#542—861no—
949#540—431no—
950#540—431no—
951#538—861no—
952#538—861no—
953#532—431no—
954#532—431no—
955#532—861no—
956#529—431no—
957#529—861no—
958#525—861no—
959C2×#121—861no—
960#520—431no—
961#520—431no—
962#518—431no—
963#518—431no—
964C2×C4×Q8—431no—
965C2×C4×D4—431no—
966#501—431no—
967#501—431no—
968#500—431no—
969#496—431no—
970#496C2×D4311yescharacteristic, complemented
971#493—431no—
972#488—431no—
973#488—431no—
974#486—431no—
975#486—431no—
976#486—431no—
977#486—431no—
978#485—431no—
979#485—431no—
980#482—431no—
981#482—431no—
982#481—431no—
983#481—431no—
984#481—431no—
985#481—431no—
986#480—431no—
987#480—431no—
988#480—431no—
989#480—431no—
990#479—431no—
991#479—431no—
992#478—431no—
993#478—431no—
994#477—431no—
995#477—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#476—431no—
1000#474—431no—
1001#474—431no—
1002#469—431no—
1003#469—431no—
1004#468—431no—
1005#468C2×D4311yescharacteristic, complemented
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#466—431no—
1010#466—431no—
1011#466C2×D4311yescharacteristic, complemented
1012#465—431no—
1013#465—431no—
1014#463—431no—
1015#463—431no—
1016#463—431no—
1017#463C2×D4311yescharacteristic
1018#460—431no—
1019#460—431no—
1020#460—431no—
1021#460C2×D4311yescharacteristic, complemented
1022#459—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#450—431no—
1027#450C2×D4311yescharacteristic
1028#449—431no—
1029#449—431no—
1030#449—431no—
1031#449C2×D4311yescharacteristic, complemented
1032#448—431no—
1033#448C2×D4311yescharacteristic, complemented
1034#447—431no—
1035#447—431no—
1036#447—431no—
1037#447C2×D4311yescharacteristic
1038#446—431no—
1039C8×Q8—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440C2×D4311yescharacteristic
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×SD16—431no—
1060C4×SD16—431no—
1061C4×SD16—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8—431no—
1068#436—431no—
1069#435—431no—
1070#435C2×D4311yescharacteristic, complemented
1071C8×D4—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074#433—431no—
1075#433—431no—
1076#432—431no—
1077#428—431no—
1078#428—431no—
1079C2×#106—431no—
1080#416—431no—
1081#416—431no—
1082C2×#103—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086#405—431no—
1087#405—431no—
1088C2×C4×C8—431no—
1089C43#6149811yescharacteristic, complemented, Sylow
1090C2×#41—431no—
1091C2×#41—861no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C2×#41C22×D4311yescharacteristic
1097C22×Q8C22×D4311yescharacteristic
1098C22×D4—21no—
1099C22×D4—431no—
1100C22×D4—861no—
1101C22×D4—861no—
1102C22×D4C22×D4311yescharacteristic
1103C22×D4C22×D4311yescharacteristic
1104C23×C4—861no—
1105AGL(1,ℤ/8)—24no—
1106AGL(1,ℤ/8)—864no—
1107C2×SD16—24no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16C22×D4311yescharacteristic
1111C2×SD16C22×D4311yescharacteristic
1112C2×SD16C22×D4311yescharacteristic
1113C2×SD16C22×D4311yescharacteristic
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8C22×D4311yescharacteristic
1122C2×D8C22×D4311yescharacteristic
1123C2×D8C22×D4311yescharacteristic
1124C2×M16—431no—
1125C2×M16C22×D4311yescharacteristic
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8C22×D4311yescharacteristic
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—861no—
1135C4⋊Q8—861no—
1136C4⋊Q8—861no—
1137#127—431no—
1138#127—431no—
1139#127—431no—
1140#127—861no—
1141#127C22×D4311yescharacteristic
1142#126—431no—
1143#126—431no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#125—431no—
1149#125—431no—
1150#125—431no—
1151#125—861no—
1152#124—21no—
1153#124—431no—
1154#124—431no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#124—861no—
1162#124—861no—
1163#124C22×D4311yescharacteristic
1164#123—431no—
1165#123—431no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180C22⋊Q8—21no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8C22×D4311yescharacteristic
1194#121—21no—
1195#121—21no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#121C22×D4311yescharacteristic
1224#120—21no—
1225#120—21no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—861no—
1237C4×Q8—861no—
1238C4×Q8—861no—
1239C4×Q8C22×D4311yescharacteristic
1240C4×D4—21no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—431no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4—861no—
1273C4×D4—861no—
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—431no—
1277#117—431no—
1278#117—431no—
1279#117—431no—
1280#117—861no—
1281#117—861no—
1282#117—861no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—431no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4—861no—
1290C2×C4⋊C4—861no—
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C42—431no—
1297C2×C42—861no—
1298#107—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107—431no—
1305#107C22×D4311yescharacteristic
1306#106—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106—431no—
1313#106—431no—
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8C22×D4311yescharacteristic
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103C22×D4311yescharacteristic
1327#103C22×D4311yescharacteristic
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102—431no—
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352C22⋊C8—431no—
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8C22×D4311yescharacteristic
1357C22⋊C8C22×D4311yescharacteristic
1358#97—431no—
1359#97—431no—
1360#97—431no—
1361#97C22×D4311yescharacteristic
1362C4×C8—431no—
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C24—21no—
1369C24—21no—
1370C24—861no—
1371#41—22no—
1372#41—41no—
1373#41—862no—
1374#41—3442no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—3442no—
1379#41—1721no—
1380C2×Q8—21no—
1381C2×Q8—22no—
1382C2×Q8—41no—
1383C2×Q8—431no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—861no—
1388C2×Q8C23×D4311yescharacteristic
1389C2×Q8C23×D4311yescharacteristic
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—82no—
1403C2×D4—431no—
1404C2×D4—431no—
1405C2×D4—431no—
1406C2×D4—431no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—862no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—3442no—
1424C2×D4—3442no—
1425C2×D4—1721no—
1426C2×D4D4×D4311yescharacteristic
1427C2×D4C23×D4311yescharacteristic
1428C2×D4C23×D4311yescharacteristic
1429C2×D4C23×D4311yescharacteristic
1430C2×D4C23×D4311yescharacteristic
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—431no—
1435C22×C4—431no—
1436C22×C4—431no—
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×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—3442no—
1456C22×C4C23×D4311yescharacteristic
1457C22×C4C23×D4311yescharacteristic
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—22no—
1462SD16—41no—
1463SD16—862no—
1464SD16—1721no—
1465SD16#1062190014yescomplemented
1466D8—22no—
1467D8—22no—
1468D8—41no—
1469D8—862no—
1470D8—862no—
1471D8—1721no—
1472D8—1721no—
1473D8—1721no—
1474M16—22no—
1475M16—862no—
1476C2×C8—22no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—431no—
1481C2×C8—1721no—
1482C2×C8—1721no—
1483C2×C8—1721no—
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—431no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4D4×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—431no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4D4×D4311yescharacteristic
1567C22⋊C4D4×D4311yescharacteristic
1568C42—21no—
1569C42—431no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—431no—
1574C42—861no—
1575C42—861no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42C23×D4311yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—42no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—431no—
1593C23—861no—
1594C23—861no—
1595C23—3441no—
1596C23—3441no—
1597C23—1722no—
1598C23C2×D4×D4311yescharacteristic
1599C23C2×D4×D4311yescharacteristic
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—42no—
1604Q8—862no—
1605Q8—3441no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—3441no—
1609Q8C2×#1062190012yes—
1610D4—22no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—862no—
1627D4—862no—
1628D4—861no—
1629D4—861no—
1630D4—861no—
1631D4—861no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—3441no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4C2×#1062190012yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—81no—
1659C2×C4—431no—
1660C2×C4—431no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—862no—
1667C2×C4—862no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—3441no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C24×D4311yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—861no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8C2×#1062190012yes—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—84no—
1725C22—162no—
1726C22—861no—
1727C22—861no—
1728C22—861no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—6882no—
1736C22#1458370312yes—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—22no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—432no—
1747C4—861no—
1748C4—861no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—1721no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C22×#1062190011yescharacteristic
1760C4#1458373411yescharacteristic
1761C2—22no—
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—3441no—
1768C2—3441no—
1769C2—1721no—
1770C2D4×#1062190011yescharacteristic
1771C2C2×#1458370311yescharacteristic
1772C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3265C2
socleC22×C43C23×D4
hypercenter#3265D43
hypocenterC43#61498
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #19148671C2semidirect
2. #19148614C2semidirect
3. #19147634C2semidirect
4. #19147506C2semidirect
5. #19147261C2semidirect
6. #19147250C2semidirect
7. #19147216C2semidirect
8. #19147071C2semidirect
9. #19147067C2semidirect
10. #19146538C2semidirect
11. #19146501C2semidirect
12. #19146497C2semidirect
13. #19146412C2semidirect
14. #19146408C2semidirect
15. #19146401C2semidirect
16. #19146209C2semidirect
17. #19146090C2semidirect
18. #19145275C2semidirect
19. #19145271C2semidirect
20. #19145169C2semidirect
21. #19144795C2semidirect
22. #19144793C2semidirect
23. #19144780C2semidirect
24. #19144778C2semidirect
25. #19144712C2semidirect
26. #19144681C2semidirect
27. #19143565C2semidirect
28. #19143428C2semidirect
29. #19143426C2semidirect
30. C2×SD16×Dic43C2semidirect
31. C43×#3265C2semidirect
34. #14583631C22semidirect
35. Q8×Dic86C22semidirect
39. #14583607C22semidirect
44. #14583568C22semidirect
45. #14583560C22semidirect
47. #14583553C22semidirect
49. #14583549C22semidirect
56. #14583522C22semidirect
58. #14583518C22semidirect
65. #14583444C22semidirect
70. #14583382C22semidirect
71. #14583381C22semidirect
74. C2×Q8×Dic43C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583303C22semidirect
79. #14583285C22semidirect
80. #14583274C22semidirect
81. #14583255C22semidirect
82. #14583253C22semidirect
83. #14583245C22semidirect
84. #14583244C22semidirect
85. #14583244C22semidirect
86. #14583244C22semidirect
87. #14583238C22semidirect
88. #14583237C22semidirect
89. #14583224C22semidirect
90. #14583222C22semidirect
91. #14583218C22semidirect
92. #14583218C22semidirect
93. #14583216C22semidirect
94. #14583215C22semidirect
95. #14583213C22semidirect
96. #14583211C22semidirect
97. #14583210C22semidirect
98. #14583210C22semidirect
99. #14583206C22semidirect
100. #14583204C22semidirect
101. #14583201C22semidirect
102. #14583200C22semidirect
103. #14583192C22semidirect
104. #14583192C22semidirect
105. #14583190C22semidirect
107. #14583187C22semidirect
108. #14583187C22semidirect
111. #14583152C22semidirect
112. #14583149C22semidirect
113. #14583142C22semidirect
114. #14583135C22semidirect
115. #14583133C22semidirect
116. #14583133C22semidirect
117. #14583133C22semidirect
118. #14583132C22semidirect
119. #14583130C22semidirect
120. #14583125C22semidirect
122. #14583116C22semidirect
123. #14583111C22semidirect
124. #14583097C22semidirect
125. #14583097C22semidirect
126. #14583097C22semidirect
128. #14583092C22semidirect
129. #14583092C22semidirect
130. #14583091C22semidirect
132. #14583044C22semidirect
133. #14583043C22semidirect
134. #14583043C22semidirect
135. #14583038C22semidirect
139. #14583027C22semidirect
140. #14583023C22semidirect
141. #14583012C22semidirect
143. #14583011C22semidirect
144. #14583011C22semidirect
146. #14583008C22semidirect
147. #14583002C22semidirect
148. #14583002C22semidirect
150. #14583000C22semidirect
151. #14583000C22semidirect
156. SD16×Dic43C22semidirect
157. SD16×Dic43C22semidirect
158. SD16×Dic43C22semidirect
159. SD16×Dic43C22semidirect
160. SD16×Dic43C22semidirect
161. C4×#10621884C22semidirect
163. D8×Dic43C22semidirect
164. #14582981C22semidirect
166. #14582979C22semidirect
167. #14582979C22semidirect
168. #14582975C22semidirect
169. #14582970C22semidirect
170. D4×C43⋊C8C22semidirect
171. (C22⋊D43)⋊C8C22semidirect
172. (C22⋊D43)⋊C8C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
177. #14582940C22semidirect
178. C2×#13063257C22semidirect
179. #14582895C22semidirect
180. #14582894C22semidirect
181. C2×#13063249C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
187. C2×C8×Dic43C22semidirect
190. C43×#548C22semidirect
192. C43×#496C22semidirect
193. C43×#468C22semidirect
194. C43×#466C22semidirect
196. C43×#460C22semidirect
198. C43×#449C22semidirect
199. C43×#448C22semidirect
202. C43×#435C22semidirect
576. SD16×C43#41semidirect
892. #3265D43semidirect
934. #548C2×D43semidirect
970. #496C2×D43semidirect
1005. #468C2×D43semidirect
1011. #466C2×D43semidirect
1021. #460C2×D43semidirect
1031. #449C2×D43semidirect
1033. #448C2×D43semidirect
1070. #435C2×D43semidirect
1089. C43#61498semidirect
1465. SD16#10621900semidirect

Maximal subgroups

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

subgroupindex
#191486712
#191486142
#191476342
#191475062
#191472612
#191472502
#191472162
#191470712
#191470672
#191465382
#191465012
#191464972
#191464122
#191464082
#191464012
#191462092
#191460902
#191452752
#191452712
#191451692
#191447952
#191447932
#191447802
#191447782
#191447122
#191446812
#191435652
#191434282
#191434262
C2×SD16×Dic432
C43×#32652
#6149843