Finite Group Databasebeta

← #25974027

Subgroups — #25974027

Order 11008.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148297C211yesmaximal, characteristic, complemented
2#19148232C211yesmaximal, characteristic, complemented
3#19146909C211yesmaximal, characteristic, complemented
4#19146908C211yesmaximal, characteristic, complemented
5#19146894C211yesmaximal, characteristic, complemented
6#19146893C211yesmaximal, characteristic, complemented
7#19146814C211yesmaximal, characteristic, complemented
8#19146811C211yesmaximal, characteristic, complemented
9#19146803C211yesmaximal, characteristic, complemented
10#19146800C211yesmaximal, characteristic, complemented
11#19146693C211yesmaximal, characteristic, complemented
12#19146692C211yesmaximal, characteristic, complemented
13#19146675C211yesmaximal, characteristic, complemented
14#19146672C211yesmaximal, characteristic, complemented
15#19146577C211yesmaximal, characteristic, complemented
16#19146576C211yesmaximal, characteristic, complemented
17#19146551C211yesmaximal, characteristic, complemented
18#19144957C211yesmaximal, characteristic, complemented
19#19144557C211yesmaximal, characteristic, complemented
20#19144517C211yesmaximal, characteristic, complemented
21#19144421C211yesmaximal, characteristic, complemented
22#19144279C211yesmaximal, characteristic, complemented
23#19144202C211yesmaximal, characteristic, complemented
24#19144146C211yesmaximal, characteristic, complemented
25#19143894C211yesmaximal, characteristic, complemented
26#19143833C211yesmaximal, characteristic, complemented
27#19143424C211yesmaximal, characteristic, complemented
28#19143293C211yesmaximal, characteristic, complemented
29#19143116C211yesmaximal, characteristic, complemented
30#417×D43C211yesmaximal, characteristic, complemented
31C43×#3306C211yesmaximal, characteristic, complemented
32C2×#13063370C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063349C2211yescharacteristic
36C2×#13063344C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38C2×M16×D43C2211yescharacteristic, complemented
39#14583610C2211yescharacteristic, complemented
40#14583604C2211yescharacteristic, complemented
41#14583603—21no—
42#14583599C2211yescharacteristic, complemented
43#14583596C2211yescharacteristic, complemented
44#14583594—21no—
45#14583589C2211yescharacteristic, complemented
46#14583586—21no—
47#14583584C2211yescharacteristic, complemented
48#14583554C2211yescharacteristic
49#14583553C2211yescharacteristic
50#14583551C2211yescharacteristic
51#14583549—21no—
52#14583549C2211yescharacteristic, complemented
53#14583548—21no—
54#14583548C2211yescharacteristic
55#14583547—21no—
56#14583546C2211yescharacteristic
57#14583543C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583539—21no—
60#14583536—21no—
61#14583526C2211yescharacteristic, complemented
62#14583495—21no—
63#14583492—21no—
64#14583478C2211yescharacteristic
65#14583472C2211yescharacteristic
66#14583469C2211yescharacteristic
67#14583459—21no—
68#14583457—21no—
69#14583409C2211yescharacteristic
70#14583409C2211yescharacteristic, complemented
71#14583408C2211yescharacteristic
72#14583407—21no—
73#14583406—21no—
74C2×#13063307—21no—
75#123×D43—21no—
76#14583380C2211yescharacteristic
77#14583378C2211yescharacteristic, complemented
78#14583371C2211yescharacteristic
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583268C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583257C2211yescharacteristic, complemented
83#14583253C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583251C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583234C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583231C2211yescharacteristic, complemented
97#14583231C2211yescharacteristic, complemented
98#14583215C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic, complemented
104#14583198C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic, complemented
106#14583177C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583158C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic, complemented
116#14583143C2211yescharacteristic, complemented
117#14583143C2211yescharacteristic, complemented
118#14583142C2211yescharacteristic, complemented
119#14583140C2211yescharacteristic, complemented
120#14583139C2211yescharacteristic, complemented
121#14583127C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583118C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583104C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic, complemented
131#14583063C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583062C2211yescharacteristic, complemented
134#14583061C2211yescharacteristic, complemented
135#14583051C2211yescharacteristic, complemented
136#14583050C2211yescharacteristic, complemented
137#14583043C2211yescharacteristic, complemented
138#14583042C2211yescharacteristic, complemented
139#14583042C2211yescharacteristic, complemented
140#14583041C2211yescharacteristic, complemented
141#14583041C2211yescharacteristic, complemented
142#14583031C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14582996C2211yescharacteristic, complemented
146#14582986C2211yescharacteristic, complemented
147C4×#10621883C2211yescharacteristic, complemented
148D8×Dic43C2211yescharacteristic, complemented
149C4×#10621882C2211yescharacteristic, complemented
150#14582977C2211yescharacteristic, complemented
151#14582976C2211yescharacteristic, complemented
152#14582974C2211yescharacteristic, complemented
153#14582974C2211yescharacteristic, complemented
154#14582972C2211yescharacteristic, complemented
155#14582970C2211yescharacteristic, complemented
156#14582968C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic, complemented
158#14582938C2211yescharacteristic, complemented
159#14582934C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582904C2211yescharacteristic, complemented
163#14582902C2211yescharacteristic
164#14582902C2211yescharacteristic, complemented
165#14582901C2211yescharacteristic, complemented
166#14582900C2211yescharacteristic, complemented
167#14582899C2211yescharacteristic, complemented
168#14582899C2211yescharacteristic, complemented
169#14582898C2211yescharacteristic, complemented
170#14582898C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582897C2211yescharacteristic, complemented
174#14582897C2211yescharacteristic, complemented
175#14582897C2211yescharacteristic, complemented
176#14582896C2211yescharacteristic, complemented
177#14582892C2211yescharacteristic
178#14582892C2211yescharacteristic, complemented
179#14582892C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic, complemented
187#14582856C2211yescharacteristic, complemented
188C43×#547C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#447C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203#13063370—24no—
204#13063370—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217#41×D43—24no—
218#41×D43—42no—
219C2×Q8×D43C2311yescharacteristic
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43C2311yescharacteristic
225C2×D4×D43C2311yescharacteristic
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43C2311yescharacteristic
229#13063354—42no—
230#13063349—24no—
231#13063344—42no—
232C2×Dic172C2311yescharacteristic
233C2×Dic172C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621873C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241#13063331—42no—
242C2×#10621877C2311yescharacteristic
243C2×#10621877C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249M16×D43—42no—
250C2×C8×D43C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253#13063325C2311yescharacteristic
254#13063324—21no—
255#13063324C2311yescharacteristic
256#13063323—21no—
257#13063323C2311yescharacteristic
258#13063320—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063317C2311yescharacteristic
263#13063316—21no—
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310D411yescharacteristic
274#13063309—21no—
275#13063309—21no—
276#13063308—21no—
277#13063308—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307D411yescharacteristic
291#13063306—21no—
292#13063306—21no—
293#13063306—21no—
294#13063306—21no—
295#13063306—21no—
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
299#13063305C2311yescharacteristic
300#13063304—21no—
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063304C2311yescharacteristic
305#13063303—21no—
306#13063303—21no—
307#13063303D411yescharacteristic
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302D411yescharacteristic
313#13063301—21no—
314#13063301—21no—
315#13063301—21no—
316#13063301C2311yescharacteristic
317#13063299—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298D411yescharacteristic
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297D411yescharacteristic
327#13063296—21no—
328#13063296—21no—
329#13063296—21no—
330#13063296—21no—
331#13063296C2311yescharacteristic
332#13063296C2311yescharacteristic
333#13063296C2311yescharacteristic
334#13063295—21no—
335#13063295D411yescharacteristic
336#13063294—21no—
337#13063293—21no—
338#13063293—21no—
339#13063293—21no—
340#13063293D411yescharacteristic
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346D4×Dic43—21no—
347D4×Dic43—21no—
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350#13063287—21no—
351#13063287—21no—
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43C2311yescharacteristic
360C4×C22⋊D43C2311yescharacteristic
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366#13063284—21no—
367#13063284C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282C2311yescharacteristic
372#13063281—21no—
373#13063281—21no—
374C2×C4⋊Dic43—21no—
375C2×C4⋊Dic43C2311yescharacteristic
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C2×Dic43⋊C4—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C2×C22⋊Dic43—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063235C2311yescharacteristic
442C4×C43⋊C8C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43—21no—
445C2×#41×C43C2311yescharacteristic
446C22×D4×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451C22×C8×C43C2311yescharacteristic
452C4⋊Q8×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#120×C43—21no—
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C2×C4⋊C4×C43C2311yescharacteristic
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C24×C43—21no—
488C23×D43—21no—
489C23×D43—21no—
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—41no—
493#41×C43—82no—
494C2×Q8×C43—21no—
495C2×Q8×C43C2411yescharacteristic
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—22no—
502C2×D4×C43—41no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C22×C4×C43—21no—
508C22×C4×C43—21no—
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—44no—
526C2×C22⋊D43—44no—
527C2×C22⋊D43C2×D411yescharacteristic
528C2×C22⋊D43C2×D411yescharacteristic
529C2×C22⋊D43C2×D411yescharacteristic
530C2×C22⋊D43C2×D411yescharacteristic
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43C2×D411yescharacteristic
539#10621902—22no—
540#10621902—41no—
541Q8×D43—22no—
542Q8×D43—22no—
543#10621900—22no—
544#10621900—22no—
545#10621900—22no—
546#10621900—22no—
547#10621900—22no—
548#10621900—22no—
549#10621900—41no—
550#10621900—41no—
551#10621900—44no—
552#10621900—44no—
553#10621900—82no—
554D4×D43—22no—
555D4×D43—22no—
556D4×D43—44no—
557D4×D43—44no—
558D4×D43—41no—
559D4×D43#4114yescomplemented
560#10621898—22no—
561#10621898—22no—
562#10621898—22no—
563#10621898—22no—
564#10621898—41no—
565#10621898—41no—
566#10621898—44no—
567C2×D172—21no—
568C2×D172C2×D411yescharacteristic
569C2×D172C2×D411yescharacteristic
570C2×D172C2411yescharacteristic
571C2×C4×D43—22no—
572C2×C4×D43—22no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—44no—
585C2×C4×D43—82no—
586C2×C4×D43C2×D411yescharacteristic
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×Dic86—21no—
592C2×Dic86—21no—
593C2×Dic86C2×D411yescharacteristic
594C2×Dic86C2411yescharacteristic
595C2×Dic86C2411yescharacteristic
596C2×Dic86C2411yescharacteristic
597SD16×C43—41no—
598D8×C43—22no—
599D8×C43—41no—
600M16×C43—41no—
601C2×C8×C43—41no—
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43C2×D411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43C2×D411yescharacteristic
624C22⋊C4×C43C2×D411yescharacteristic
625C42×C43C2411yescharacteristic
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43C2×D411yescharacteristic
639C22⋊Dic43C2×D411yescharacteristic
640#10621885—41no—
641#10621883—22no—
642#10621883—41no—
643#10621883—41no—
644#10621883—41no—
645#10621882—22no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4C2×D411yescharacteristic
657(C2×D43)⋊C4C2×D411yescharacteristic
658(C2×D43)⋊C4C2×D411yescharacteristic
659(C2×D43)⋊C4C2×D411yescharacteristic
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672C4⋊Dic43C2411yescharacteristic
673C4⋊Dic43C2411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4C2×D411yescharacteristic
694Dic43⋊C4C2×D411yescharacteristic
695Dic43⋊C4C2×D411yescharacteristic
696Dic43⋊C4C2×D411yescharacteristic
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43—21no—
702C4×Dic43—21no—
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705#10621877—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—41no—
711Dic172—41no—
712#10621873—22no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717#10621872—41no—
718C8×D43—22no—
719C8×D43—22no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—21no—
724C23×C43—42no—
725C23×C43—81no—
726C23×C43—81no—
727C23×C43C22×D411yescharacteristic
728C23×C43C22×D411yescharacteristic
729C22×D43—21no—
730C22×D43—22no—
731C22×D43—24no—
732C22×D43—41no—
733C22×D43—41no—
734C22×D43—42no—
735C22×D43—81no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43—81no—
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741C22×D43C22×D411yescharacteristic
742Q8×C43—21no—
743Q8×C43—21no—
744Q8×C43—81no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—21no—
750D4×C43—41no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—42no—
754D4×C43—81no—
755D4×C43—81no—
756D4×C43C2×#4112yes—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—42no—
767C2×C4×C43—42no—
768C2×C4×C43—81no—
769C2×C4×C43—81no—
770C2×C4×C43—81no—
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C2511yescharacteristic
776C22⋊D43—22no—
777C22⋊D43—22no—
778C22⋊D43—24no—
779C22⋊D43—41no—
780C22⋊D43—41no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—42no—
789C22⋊D43—81no—
790C22⋊D43—81no—
791C2×Dic43—22no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—42no—
800C2×Dic43—42no—
801C2×Dic43—42no—
802C2×Dic43—42no—
803C2×Dic43—42no—
804C2×Dic43—81no—
805C2×Dic43—81no—
806C2×Dic43C22×D411yescharacteristic
807C2×Dic43C22×D411yescharacteristic
808C2×Dic43C22×D411yescharacteristic
809C2×Dic43C22×D411yescharacteristic
810C2×Dic43C22×D411yescharacteristic
811D172—22no—
812D172—21no—
813D172—41no—
814D172—42no—
815D172C2×#4112yes—
816C4×D43—22no—
817C4×D43—21no—
818C4×D43—21no—
819C4×D43—21no—
820C4×D43—21no—
821C4×D43—22no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—81no—
827C4×D43—81no—
828C4×D43—81no—
829C4×D43—81no—
830C4×D43—81no—
831C4×D43—81no—
832C4×D43—81no—
833C4×D43C2×#4112yes—
834C4×D43H(5,𝔽2)12yes—
835Dic86—22no—
836Dic86—21no—
837Dic86—21no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—21no—
842Dic86—42no—
843Dic86—81no—
844C8×C43—21no—
845C8×C43—21no—
846C8×C43—21no—
847C8×C43—21no—
848C43⋊C8—21no—
849C43⋊C8—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852#61177—431nomaximal, Sylow
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—22no—
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—162no—
869C22×C43C23×D411yescharacteristic
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—22no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—44no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—84no—
883C2×D43—162no—
884C2×D43#54612yes—
885C4×C43—21no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43C22×#4111yescharacteristic
895C4×C43C2×H(5,𝔽2)11yescharacteristic
896Dic43—21no—
897Dic43—21no—
898Dic43—21no—
899Dic43—21no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43#54612yes—
908#3492—431no—
909#3485—431no—
910#3331—431no—
911#3331—431no—
912#3330—431no—
913#3330—431no—
914#3323—431no—
915#3323—431no—
916#3322—431no—
917#3322—431no—
918#3315—431no—
919#3315—431no—
920#3314—431no—
921#3314—431no—
922#3307—431no—
923#3307—431no—
924#3306—431no—
925#3306D4311yescharacteristic, complemented
926#3137—431no—
927#3097—431no—
928#3092—431no—
929#3081—431no—
930#3063—431no—
931#3054—431no—
932#3046—431no—
933#3012—431no—
934#3005—431no—
935#2946—431no—
936#2930—431no—
937#2897—431no—
938C2×#417—431no—
939C2×C43—41no—
940C2×C43—42no—
941C2×C43—41no—
942C2×C43—81no—
943C2×C43—81no—
944C2×C43C2×#54611yescharacteristic
945C2×C43#358511yescharacteristic
946C2×C43#358611yescharacteristic
947D43—22no—
948D43—41no—
949D43—41no—
950D43—42no—
951C2×H(5,𝔽2)—431no—
952C22×#41—431no—
953C2×#137—431no—
954C2×AGL(1,ℤ/8)—431no—
955C2×#135—431no—
956C2×#131—431no—
957C22×M16—431no—
958#554—431no—
959#554—431no—
960#554—861no—
961#553—431no—
962#553—431no—
963#553—861no—
964#552—431no—
965#552—431no—
966#552—861no—
967#547—431no—
968#547—431no—
969#547—431no—
970#547—431no—
971#547—431no—
972#547—861no—
973#547—861no—
974#547—861no—
975#547C2×D4311yescharacteristic, complemented
976#546—431no—
977#546—431no—
978#546—431no—
979#546—861no—
980#546—861no—
981#546C2×D4311yescharacteristic
982#544—431no—
983#539—861no—
984#539—861no—
985#537—431no—
986#536—431no—
987#536—431no—
988#534—861no—
989#534—861no—
990#525—431no—
991#525—431no—
992#525—431no—
993#525—861no—
994#525—861no—
995C2×#123—861no—
996C2×#123—861no—
997#520—431no—
998#520—431no—
999#518—431no—
1000C22×C4⋊C4—431no—
1001#491—431no—
1002#491—431no—
1003#489—431no—
1004#489C2×D4311yescharacteristic, complemented
1005#488—431no—
1006#488—431no—
1007#487—431no—
1008#487—431no—
1009#485—431no—
1010#485—431no—
1011#485—431no—
1012#485—431no—
1013#484—431no—
1014#484—431no—
1015#484—431no—
1016#484—431no—
1017#483—431no—
1018#483—431no—
1019#483—431no—
1020#483C2×D4311yescharacteristic, complemented
1021#481—431no—
1022#481C2×D4311yescharacteristic, complemented
1023#480—431no—
1024#480—431no—
1025#478—431no—
1026#478—431no—
1027#478—431no—
1028#478—431no—
1029#476—431no—
1030#476C2×D4311yescharacteristic, complemented
1031#474—431no—
1032#474—431no—
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#469—431no—
1038#469C2×D4311yescharacteristic, complemented
1039#468—431no—
1040#468—431no—
1041#468—431no—
1042#468—431no—
1043#468—431no—
1044#468—431no—
1045#467—431no—
1046#467—431no—
1047#465—431no—
1048#465C2×D4311yescharacteristic, complemented
1049#464—431no—
1050#464—431no—
1051#463—431no—
1052#463C2×D4311yescharacteristic, complemented
1053#462—431no—
1054#462—431no—
1055#461—431no—
1056#461—431no—
1057#452—431no—
1058#452—431no—
1059#452—431no—
1060#452—431no—
1061#452—431no—
1062#452—431no—
1063#450—431no—
1064#450—431no—
1065#449—431no—
1066#449—431no—
1067#449—431no—
1068#449—431no—
1069#449—431no—
1070#449C2×D4311yescharacteristic, complemented
1071#447—431no—
1072#447C2×D4311yescharacteristic, complemented
1073#442—431no—
1074#442C2×D4311yescharacteristic, complemented
1075#440—431no—
1076#440—431no—
1077C4×SD16—431no—
1078C4×SD16—431no—
1079C4×D8—431no—
1080C4×D8—431no—
1081#436—431no—
1082#436—431no—
1083#436—431no—
1084#436—431no—
1085#435—431no—
1086#435—431no—
1087#435—431no—
1088#435C2×D4311yescharacteristic, complemented
1089#428—431no—
1090#428—431no—
1091#427—431no—
1092#424—431no—
1093#419—431no—
1094#418—431no—
1095#418—431no—
1096#418—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#417—431no—
1104#417—431no—
1105#417—431no—
1106#417—431no—
1107#417—431no—
1108#417C2×D4311yescharacteristic, complemented
1109#416—431no—
1110#416—431no—
1111#416—431no—
1112#416—431no—
1113C2×#103—431no—
1114C2×#103—431no—
1115C2×#102—431no—
1116C2×#102—431no—
1117C2×#102—431no—
1118C2×#102C2×D4311yescharacteristic, complemented
1119#408—431no—
1120#407—431no—
1121#405—431no—
1122C43#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—864no—
1124H(5,𝔽2)—1722no—
1125C2×#41—21no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—861no—
1135C2×#41—861no—
1136C2×#41—861no—
1137C2×#41—861no—
1138C2×#41—864no—
1139C2×#41—1722no—
1140C2×#41C22×D4311yescharacteristic
1141C22×Q8—431no—
1142C22×D4—431no—
1143C22×D4—431no—
1144C22×D4—861no—
1145C22×D4—861no—
1146C22×D4—861no—
1147C22×D4—861no—
1148C22×D4C22×D4311yescharacteristic
1149C23×C4—431no—
1150C23×C4—861no—
1151C23×C4—861no—
1152#137—1722no—
1153AGL(1,ℤ/8)—864no—
1154#135—1722no—
1155C2×Q16—431no—
1156C2×Q16—431no—
1157C2×Q16—431no—
1158C2×SD16—431no—
1159C2×SD16—431no—
1160C2×SD16—431no—
1161C2×SD16—431no—
1162C2×SD16—431no—
1163C2×SD16C22×D4311yescharacteristic
1164C2×D8—431no—
1165C2×D8C22×D4311yescharacteristic
1166C2×D8C22×D4311yescharacteristic
1167#131—1722no—
1168C2×M16—431no—
1169C2×M16—431no—
1170C2×M16—431no—
1171C2×M16—431no—
1172C2×M16—431no—
1173C2×M16—431no—
1174C2×M16—431no—
1175C2×M16—1722no—
1176C2×M16C22×D4311yescharacteristic
1177C22×C8—431no—
1178C22×C8—431no—
1179C22×C8—431no—
1180C22×C8C22×D4311yescharacteristic
1181C4⋊Q8—431no—
1182C4⋊Q8—431no—
1183C4⋊Q8—431no—
1184C4⋊Q8—861no—
1185C4⋊Q8—861no—
1186C4⋊Q8C22×D4311yescharacteristic
1187#126—861no—
1188#126—861no—
1189#126—861no—
1190#126—861no—
1191#125—431no—
1192#125—431no—
1193#125—861no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125—861no—
1198#124—431no—
1199#124—861no—
1200#124C22×D4311yescharacteristic
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—431no—
1205#123—431no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217#123—861no—
1218#123—861no—
1219#123—861no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229C22⋊Q8—21no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—431no—
1235C22⋊Q8—431no—
1236C22⋊Q8—431no—
1237C22⋊Q8—431no—
1238C22⋊Q8—431no—
1239C22⋊Q8—431no—
1240C22⋊Q8—431no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8—861no—
1246C22⋊Q8—861no—
1247C22⋊Q8—861no—
1248C22⋊Q8—861no—
1249C22⋊Q8—861no—
1250C22⋊Q8—861no—
1251C22⋊Q8C22×D4311yescharacteristic
1252#121—21no—
1253#121—431no—
1254#121—431no—
1255#121—431no—
1256#121—431no—
1257#121—431no—
1258#121—861no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121C22×D4311yescharacteristic
1271#121C22×D4311yescharacteristic
1272#121C22×D4311yescharacteristic
1273#120—21no—
1274#120—431no—
1275#120—431no—
1276#120—861no—
1277#120—861no—
1278#120—861no—
1279#120—861no—
1280#120—861no—
1281C4×Q8—431no—
1282C4×Q8—431no—
1283C4×Q8—861no—
1284C4×D4—431no—
1285C4×D4—431no—
1286C4×D4—431no—
1287C4×D4—431no—
1288C4×D4—431no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4—861no—
1296C4×D4—861no—
1297C4×D4—861no—
1298C4×D4—861no—
1299C4×D4—861no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4C22×D4311yescharacteristic
1307C4×D4C22×D4311yescharacteristic
1308C4×D4C22×D4311yescharacteristic
1309#117—431no—
1310#117—431no—
1311#117—431no—
1312#117—431no—
1313#117—431no—
1314#117—861no—
1315#117—861no—
1316#117—861no—
1317C2×C4⋊C4—431no—
1318C2×C4⋊C4—431no—
1319C2×C4⋊C4—431no—
1320C2×C4⋊C4—431no—
1321C2×C4⋊C4—431no—
1322C2×C4⋊C4—431no—
1323C2×C4⋊C4—861no—
1324C2×C4⋊C4—861no—
1325C2×C4⋊C4—861no—
1326C2×C4⋊C4—861no—
1327C2×C4⋊C4—861no—
1328C2×C4⋊C4—861no—
1329C2×C4⋊C4—861no—
1330C2×C4⋊C4—861no—
1331C2×C4⋊C4C22×D4311yescharacteristic
1332C2×C4⋊C4C22×D4311yescharacteristic
1333C2×C22⋊C4—21no—
1334C2×C22⋊C4—861no—
1335C2×C22⋊C4—861no—
1336C2×C22⋊C4—861no—
1337C2×C22⋊C4—861no—
1338C2×C22⋊C4—861no—
1339#107—431no—
1340#107—431no—
1341#107—431no—
1342#107—431no—
1343#107—431no—
1344#107—431no—
1345#106—431no—
1346#106—431no—
1347#106—431no—
1348#106C22×D4311yescharacteristic
1349#106C22×D4311yescharacteristic
1350#106C22×D4311yescharacteristic
1351C4⋊C8—431no—
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8C22×D4311yescharacteristic
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102C22×D4311yescharacteristic
1389#102C22×D4311yescharacteristic
1390#102C22×D4311yescharacteristic
1391#102C22×D4311yescharacteristic
1392#102C22×D4311yescharacteristic
1393#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
1395C22⋊C8—431no—
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8—431no—
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8C22×D4311yescharacteristic
1402C22⋊C8C22×D4311yescharacteristic
1403#97—431no—
1404#97C22×D4311yescharacteristic
1405C4×C8—431no—
1406C4×C8—431no—
1407C24—21no—
1408C24—431no—
1409C24—861no—
1410C24—861no—
1411#41—22no—
1412#41—41no—
1413#41—82no—
1414#41—862no—
1415#41—862no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—3442no—
1426#41—1721no—
1427#41—1721no—
1428#41—1724no—
1429#41—1721no—
1430#41—1721no—
1431#41—1724no—
1432#41—1721no—
1433#41—1724no—
1434C2×Q8—21no—
1435C2×Q8—431no—
1436C2×Q8—431no—
1437C2×Q8—431no—
1438C2×Q8—431no—
1439C2×Q8—861no—
1440C2×Q8—861no—
1441C2×Q8—862no—
1442C2×Q8—862no—
1443C2×Q8C23×D4311yescharacteristic
1444C2×D4—22no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—41no—
1451C2×D4—434no—
1452C2×D4—431no—
1453C2×D4—431no—
1454C2×D4—431no—
1455C2×D4—431no—
1456C2×D4—431no—
1457C2×D4—431no—
1458C2×D4—431no—
1459C2×D4—861no—
1460C2×D4—862no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—862no—
1464C2×D4—861no—
1465C2×D4—861no—
1466C2×D4—861no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—1721no—
1474C2×D4—1724no—
1475C2×D4—1724no—
1476C2×D4—1724no—
1477C2×D4—1724no—
1478C2×D4D4×D4311yescharacteristic
1479C2×D4C23×D4311yescharacteristic
1480C2×D4C23×D4311yescharacteristic
1481C2×D4C23×D4311yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—431no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—862no—
1494C22×C4—862no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—3442no—
1514C22×C4—1724no—
1515C22×C4C23×D4311yescharacteristic
1516C22×C4C23×D4311yescharacteristic
1517Q16—1721no—
1518Q16—1721no—
1519Q16—1721no—
1520SD16—41no—
1521SD16—862no—
1522SD16—862no—
1523SD16—1721no—
1524SD16—1721no—
1525SD16—1721no—
1526D8—22no—
1527D8—41no—
1528D8—862no—
1529M16—41no—
1530M16—862no—
1531M16—862no—
1532M16—1721no—
1533M16—1721no—
1534M16—1721no—
1535M16—1721no—
1536M16—1721no—
1537C2×C8—41no—
1538C2×C8—431no—
1539C2×C8—431no—
1540C2×C8—431no—
1541C2×C8—431no—
1542C2×C8—862no—
1543C2×C8—862no—
1544C2×C8—1721no—
1545C2×C8C23×D4311yescharacteristic
1546C2×C8C23×D4311yescharacteristic
1547C2×C8C23×D4311yescharacteristic
1548C2×C8C23×D4311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—431no—
1554C4⋊C4—431no—
1555C4⋊C4—431no—
1556C4⋊C4—431no—
1557C4⋊C4—431no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4D4×D4311yescharacteristic
1589C4⋊C4C23×D4311yescharacteristic
1590C4⋊C4C23×D4311yescharacteristic
1591C4⋊C4C23×D4311yescharacteristic
1592C4⋊C4C23×D4311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—431no—
1602C22⋊C4—431no—
1603C22⋊C4—431no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
1606C22⋊C4—431no—
1607C22⋊C4—431no—
1608C22⋊C4—431no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4D4×D4311yescharacteristic
1632C22⋊C4D4×D4311yescharacteristic
1633C42—431no—
1634C42—861no—
1635C42—861no—
1636C42—861no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42C23×D4311yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—81no—
1646C23—81no—
1647C23—431no—
1648C23—431no—
1649C23—431no—
1650C23—864no—
1651C23—862no—
1652C23—861no—
1653C23—3441no—
1654C23—3441no—
1655C23—3441no—
1656C23—3441no—
1657C23—1721no—
1658C23—1721no—
1659C23—1722no—
1660C23C2×D4×D4311yescharacteristic
1661C23C2×D4×D4311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—81no—
1665Q8—862no—
1666Q8—861no—
1667Q8—861no—
1668Q8—861no—
1669Q8—861no—
1670Q8—861no—
1671Q8—861no—
1672Q8—3441no—
1673Q8—1722no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—41no—
1680D4—42no—
1681D4—42no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—432no—
1686D4—862no—
1687D4—864no—
1688D4—862no—
1689D4—862no—
1690D4—861no—
1691D4—3441no—
1692D4—3441no—
1693D4—1721no—
1694D4—1722no—
1695D4—1721no—
1696D4—1721no—
1697D4—1722no—
1698D4—1722no—
1699D4—1722no—
1700D4—1722no—
1701D4—1722no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4#41×D4312yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—42no—
1716C2×C4—42no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—431no—
1721C2×C4—432no—
1722C2×C4—432no—
1723C2×C4—431no—
1724C2×C4—431no—
1725C2×C4—431no—
1726C2×C4—431no—
1727C2×C4—862no—
1728C2×C4—862no—
1729C2×C4—862no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—3441no—
1742C2×C4—3441no—
1743C2×C4—3441no—
1744C2×C4—3441no—
1745C2×C4—3441no—
1746C2×C4—3441no—
1747C2×C4—3441no—
1748C2×C4—3441no—
1749C2×C4—3441no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4—1722no—
1758C2×C4—1722no—
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C2×D4×D4311yescharacteristic
1761C2×C4C2×D4×D4311yescharacteristic
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—861no—
1769C8—861no—
1770C8—861no—
1771C8—861no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—162no—
1788C22—432no—
1789C22—861no—
1790C22—861no—
1791C22—861no—
1792C22—861no—
1793C22—862no—
1794C22—861no—
1795C22—861no—
1796C22—861no—
1797C22—861no—
1798C22—3444no—
1799C22—1724no—
1800C22—1721no—
1801C22—1721no—
1802C22—6882no—
1803C22C22×D4×D4311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—432no—
1814C4—861no—
1815C4—861no—
1816C4—861no—
1817C4—861no—
1818C4—1721no—
1819C4—1721no—
1820C4—1721no—
1821C4—1721no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4C2×#41×D4311yescharacteristic
1826C4H(5,𝔽2)×D4311yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—862no—
1833C2—1721no—
1834C2—1721no—
1835C2—1722no—
1836C2#546×D4311yescharacteristic
1837C2#1914937111yescharacteristic
1838C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3306C2
socleC22×C43C23×D4
hypercenter#3306D43
hypocenterC43#61177
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #19148297C2semidirect
2. #19148232C2semidirect
3. #19146909C2semidirect
4. #19146908C2semidirect
5. #19146894C2semidirect
6. #19146893C2semidirect
7. #19146814C2semidirect
8. #19146811C2semidirect
9. #19146803C2semidirect
10. #19146800C2semidirect
11. #19146693C2semidirect
12. #19146692C2semidirect
13. #19146675C2semidirect
14. #19146672C2semidirect
15. #19146577C2semidirect
16. #19146576C2semidirect
17. #19146551C2semidirect
18. #19144957C2semidirect
19. #19144557C2semidirect
20. #19144517C2semidirect
21. #19144421C2semidirect
22. #19144279C2semidirect
23. #19144202C2semidirect
24. #19144146C2semidirect
25. #19143894C2semidirect
26. #19143833C2semidirect
27. #19143424C2semidirect
28. #19143293C2semidirect
29. #19143116C2semidirect
30. #417×D43C2semidirect
31. C43×#3306C2semidirect
34. C2×#13063354C22semidirect
38. C2×M16×D43C22semidirect
39. #14583610C22semidirect
40. #14583604C22semidirect
42. #14583599C22semidirect
43. #14583596C22semidirect
45. #14583589C22semidirect
47. #14583584C22semidirect
52. #14583549C22semidirect
61. #14583526C22semidirect
70. #14583409C22semidirect
77. #14583378C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583268C22semidirect
81. #14583266C22semidirect
82. #14583257C22semidirect
83. #14583253C22semidirect
84. #14583252C22semidirect
85. #14583251C22semidirect
86. #14583248C22semidirect
87. #14583243C22semidirect
88. #14583241C22semidirect
89. #14583238C22semidirect
90. #14583237C22semidirect
91. #14583235C22semidirect
92. #14583234C22semidirect
93. #14583234C22semidirect
94. #14583233C22semidirect
95. #14583231C22semidirect
96. #14583231C22semidirect
97. #14583231C22semidirect
98. #14583215C22semidirect
99. #14583211C22semidirect
100. #14583211C22semidirect
101. #14583201C22semidirect
102. #14583200C22semidirect
103. #14583199C22semidirect
104. #14583198C22semidirect
105. #14583188C22semidirect
106. #14583177C22semidirect
107. #14583176C22semidirect
108. #14583158C22semidirect
109. #14583158C22semidirect
110. #14583157C22semidirect
111. #14583155C22semidirect
112. #14583149C22semidirect
113. #14583144C22semidirect
114. #14583144C22semidirect
115. #14583143C22semidirect
116. #14583143C22semidirect
117. #14583143C22semidirect
118. #14583142C22semidirect
119. #14583140C22semidirect
120. #14583139C22semidirect
121. #14583127C22semidirect
122. #14583120C22semidirect
123. #14583118C22semidirect
124. #14583112C22semidirect
125. #14583110C22semidirect
126. #14583108C22semidirect
127. #14583104C22semidirect
128. #14583102C22semidirect
129. #14583064C22semidirect
130. #14583063C22semidirect
131. #14583063C22semidirect
132. #14583062C22semidirect
133. #14583062C22semidirect
134. #14583061C22semidirect
135. #14583051C22semidirect
136. #14583050C22semidirect
137. #14583043C22semidirect
138. #14583042C22semidirect
139. #14583042C22semidirect
140. #14583041C22semidirect
141. #14583041C22semidirect
142. #14583031C22semidirect
143. #14583008C22semidirect
144. #14583001C22semidirect
145. #14582996C22semidirect
146. #14582986C22semidirect
147. C4×#10621883C22semidirect
148. D8×Dic43C22semidirect
149. C4×#10621882C22semidirect
150. #14582977C22semidirect
151. #14582976C22semidirect
152. #14582974C22semidirect
153. #14582974C22semidirect
154. #14582972C22semidirect
155. #14582970C22semidirect
156. #14582968C22semidirect
157. #14582938C22semidirect
158. #14582938C22semidirect
159. #14582934C22semidirect
160. #14582924C22semidirect
161. #14582906C22semidirect
162. #14582904C22semidirect
164. #14582902C22semidirect
165. #14582901C22semidirect
166. #14582900C22semidirect
167. #14582899C22semidirect
168. #14582899C22semidirect
169. #14582898C22semidirect
170. #14582898C22semidirect
173. #14582897C22semidirect
174. #14582897C22semidirect
175. #14582897C22semidirect
176. #14582896C22semidirect
178. #14582892C22semidirect
179. #14582892C22semidirect
180. #103×D43C22semidirect
181. #103×D43C22semidirect
184. #102×D43C22semidirect
186. #14582861C22semidirect
187. #14582856C22semidirect
188. C43×#547C22semidirect
190. C43×#489C22semidirect
191. C43×#483C22semidirect
192. C43×#481C22semidirect
193. C43×#476C22semidirect
194. C43×#469C22semidirect
195. C43×#465C22semidirect
196. C43×#463C22semidirect
197. C43×#449C22semidirect
198. C43×#447C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C2×#102×C43C22semidirect
559. D4×D43#41semidirect
925. #3306D43semidirect
975. #547C2×D43semidirect
1004. #489C2×D43semidirect
1020. #483C2×D43semidirect
1022. #481C2×D43semidirect
1030. #476C2×D43semidirect
1038. #469C2×D43semidirect
1048. #465C2×D43semidirect
1052. #463C2×D43semidirect
1070. #449C2×D43semidirect
1072. #447C2×D43semidirect
1074. #442C2×D43semidirect
1088. #435C2×D43semidirect
1108. #417C2×D43semidirect
1118. C2×#102C2×D43semidirect
1122. C43#61177semidirect

Maximal subgroups

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

subgroupindex
#191482972
#191482322
#191469092
#191469082
#191468942
#191468932
#191468142
#191468112
#191468032
#191468002
#191466932
#191466922
#191466752
#191466722
#191465772
#191465762
#191465512
#191449572
#191445572
#191445172
#191444212
#191442792
#191442022
#191441462
#191438942
#191438332
#191434242
#191432932
#191431162
#417×D432
C43×#33062
#6117743