Finite Group Databasebeta

← #25969650

Subgroups — #25969650

Order 11008.

1886 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#19147982C211yesmaximal, characteristic, complemented
2#540×D43C211yesmaximal, characteristic, complemented
3#19146040C211yesmaximal, characteristic, complemented
4#19146039C211yesmaximal, characteristic, complemented
5#19146037C211yesmaximal, characteristic, complemented
6#19146035C211yesmaximal, characteristic, complemented
7#19146033C211yesmaximal, characteristic, complemented
8#19146032C211yesmaximal, characteristic, complemented
9#19146031C211yesmaximal, characteristic, complemented
10#19146029C211yesmaximal, characteristic, complemented
11#19146013C211yesmaximal, characteristic, complemented
12#19146011C211yesmaximal, characteristic, complemented
13#19146008C211yesmaximal, characteristic, complemented
14#19146006C211yesmaximal, characteristic, complemented
15#19146005C211yesmaximal, characteristic, complemented
16#19146003C211yesmaximal, characteristic, complemented
17#19146000C211yesmaximal, characteristic, complemented
18#19144414C211yesmaximal, characteristic, complemented
19#19144412C211yesmaximal, characteristic, complemented
20#19144393C211yesmaximal, characteristic, complemented
21#19144387C211yesmaximal, characteristic, complemented
22#19144213C211yesmaximal, characteristic, complemented
23#19144211C211yesmaximal, characteristic, complemented
24#19144209C211yesmaximal, characteristic, complemented
25#19144207C211yesmaximal, characteristic, complemented
26#19144072C211yesmaximal, characteristic, complemented
27#19144070C211yesmaximal, characteristic, complemented
28#19144057C211yesmaximal, characteristic, complemented
29#19144057C211yesmaximal, characteristic, complemented
30#19143156C211yesmaximal, characteristic, complemented
31C43×#3257C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063349C2211yescharacteristic
35C2×#13063349C2211yescharacteristic
36C22×#10621872C2211yescharacteristic
37C2×M16×D43C2211yescharacteristic
38#14583523C2211yescharacteristic, complemented
39#14583520C2211yescharacteristic, complemented
40#14583518C2211yescharacteristic, complemented
41#14583509C2211yescharacteristic, complemented
42#14583507C2211yescharacteristic, complemented
43#14583505C2211yescharacteristic
44#14583504C2211yescharacteristic
45#14583503C2211yescharacteristic
46#14583502C2211yescharacteristic
47#14583502C2211yescharacteristic
48#14583502C2211yescharacteristic, complemented
49#14583501—21no—
50#14583501—21no—
51#14583500C2211yescharacteristic
52#14583500C2211yescharacteristic
53#14583500C2211yescharacteristic, complemented
54#14583499—21no—
55#14583499—21no—
56#14583495—21no—
57#14583490—21no—
58#14583485—21no—
59#14583483—21no—
60#14583454C2211yescharacteristic
61#14583448C2211yescharacteristic
62#127×D43C2211yescharacteristic
63#14583435—21no—
64#14583432—21no—
65#14583428—21no—
66#14583426—21no—
67#125×D43C2211yescharacteristic
68#14583412C2211yescharacteristic
69#14583409C2211yescharacteristic
70#123×D43—21no—
71#123×D43—21no—
72#121×D43—21no—
73#121×D43—21no—
74#121×D43C2211yescharacteristic
75#121×D43C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×#10621900C2211yescharacteristic
78C4×D4×D43C2211yescharacteristic
79C4×D4×D43C2211yescharacteristic
80#117×D43C2211yescharacteristic
81#14583209C2211yescharacteristic, complemented
82#14583208C2211yescharacteristic, complemented
83#14583207C2211yescharacteristic, complemented
84#14583206C2211yescharacteristic, complemented
85#14583205C2211yescharacteristic, complemented
86#14583204C2211yescharacteristic, complemented
87#14583203C2211yescharacteristic, complemented
88#14583202C2211yescharacteristic, complemented
89#14583202C2211yescharacteristic, complemented
90#14583202C2211yescharacteristic, complemented
91#14583201C2211yescharacteristic, complemented
92#14583201C2211yescharacteristic, complemented
93#14583201C2211yescharacteristic, complemented
94#14583200C2211yescharacteristic, complemented
95#14583199C2211yescharacteristic, complemented
96#14583198C2211yescharacteristic, complemented
97#14583198C2211yescharacteristic, complemented
98#14583198C2211yescharacteristic, complemented
99#14583197C2211yescharacteristic, complemented
100#14583197C2211yescharacteristic, complemented
101#14583197C2211yescharacteristic, complemented
102#14583196C2211yescharacteristic, complemented
103#14583190C2211yescharacteristic, complemented
104#14583189C2211yescharacteristic, complemented
105#14583186C2211yescharacteristic, complemented
106#14583180C2211yescharacteristic, complemented
107#14583179C2211yescharacteristic, complemented
108#14583176C2211yescharacteristic, complemented
109#14583153C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583150C2211yescharacteristic, complemented
115#14583149C2211yescharacteristic, complemented
116#14583148C2211yescharacteristic, complemented
117#14583147C2211yescharacteristic, complemented
118#14583146C2211yescharacteristic, complemented
119#14583145C2211yescharacteristic, complemented
120#14583144C2211yescharacteristic, complemented
121#14583143C2211yescharacteristic, complemented
122#14583142C2211yescharacteristic, complemented
123#14583136C2211yescharacteristic, complemented
124#14583135C2211yescharacteristic, complemented
125#14583134C2211yescharacteristic, complemented
126#14583134C2211yescharacteristic, complemented
127#14583133C2211yescharacteristic, complemented
128#14583133C2211yescharacteristic, complemented
129#14583132C2211yescharacteristic, complemented
130#14583131C2211yescharacteristic, complemented
131#14583130C2211yescharacteristic, complemented
132#14583129C2211yescharacteristic, complemented
133#14583128C2211yescharacteristic, complemented
134#14583127C2211yescharacteristic, complemented
135#14583126C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583115C2211yescharacteristic, complemented
138#14583115C2211yescharacteristic, complemented
139#14583114C2211yescharacteristic, complemented
140#14583114C2211yescharacteristic, complemented
141#14583111C2211yescharacteristic, complemented
142#14583111C2211yescharacteristic, complemented
143#14583103C2211yescharacteristic, complemented
144#14583103C2211yescharacteristic, complemented
145#14583102C2211yescharacteristic, complemented
146#14583102C2211yescharacteristic, complemented
147#14583100C2211yescharacteristic, complemented
148#14583099C2211yescharacteristic, complemented
149#14583098C2211yescharacteristic, complemented
150#14583098C2211yescharacteristic, complemented
151#14583097C2211yescharacteristic, complemented
152#14583097C2211yescharacteristic, complemented
153#14583096C2211yescharacteristic, complemented
154#14583095C2211yescharacteristic, complemented
155#14583094C2211yescharacteristic, complemented
156#14583093C2211yescharacteristic, complemented
157#14583093C2211yescharacteristic, complemented
158#14583093C2211yescharacteristic, complemented
159#14583093C2211yescharacteristic, complemented
160#14583092C2211yescharacteristic, complemented
161#14583092C2211yescharacteristic, complemented
162#14583092C2211yescharacteristic, complemented
163#14583092C2211yescharacteristic, complemented
164#14583091C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582927C2211yescharacteristic, complemented
170#14582926C2211yescharacteristic, complemented
171#14582925C2211yescharacteristic, complemented
172#14582924C2211yescharacteristic, complemented
173#14582924C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582921C2211yescharacteristic
177#14582921C2211yescharacteristic
178#14582921C2211yescharacteristic
179#14582921C2211yescharacteristic
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#14582902C2211yescharacteristic
184#14582899C2211yescharacteristic
185#14582899C2211yescharacteristic
186#14582897C2211yescharacteristic
187#14582897C2211yescharacteristic
188C43×#542C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic
190C43×#479C2211yescharacteristic, complemented
191C43×#478C2211yescharacteristic, complemented
192C43×#476C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#463C2211yescharacteristic, complemented
199C43×#463C2211yescharacteristic, complemented
200C43×#460C2211yescharacteristic, complemented
201C43×#459C2211yescharacteristic, complemented
202C43×#424C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×D4×D43—21no—
206C2×D4×D43—21no—
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212C22×C4×D43—21no—
213C22×C4×D43C2311yescharacteristic
214#13063352—42no—
215#13063352—42no—
216#13063349—42no—
217#13063349—42no—
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872—42no—
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C2×#10621872C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C2×#10621872C2311yescharacteristic
238M16×D43—42no—
239C22×C43⋊C8C2311yescharacteristic
240C2×C8×D43C2311yescharacteristic
241C2×C8×D43C2311yescharacteristic
242#13063325C2311yescharacteristic
243#13063323C2311yescharacteristic
244#13063322C2311yescharacteristic
245#13063321—21no—
246#13063321—21no—
247#13063321C2311yescharacteristic
248#13063321C2311yescharacteristic
249#13063321C2311yescharacteristic
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063317—21no—
258#13063317C2311yescharacteristic
259#13063316—21no—
260#13063316C2311yescharacteristic
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063314—21no—
269#13063313C2311yescharacteristic
270#13063311—21no—
271#13063311—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063309—21no—
279#13063309—21no—
280#13063309—21no—
281#13063309—21no—
282#13063308—21no—
283#13063308—21no—
284#13063308—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063306—21no—
294#13063306—21no—
295#13063305—21no—
296#13063305C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063303—21no—
299#13063302—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063300—21no—
304#13063300—21no—
305#13063300C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063299—21no—
309#13063299—21no—
310#13063299—21no—
311#13063299C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063299C2311yescharacteristic
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297—21no—
329#13063297—21no—
330#13063296—21no—
331#13063296—21no—
332#13063296—21no—
333#13063296C2311yescharacteristic
334#13063296C2311yescharacteristic
335#13063296C2311yescharacteristic
336#13063295—21no—
337#13063293—21no—
338Q8×Dic43—21no—
339Q8×Dic43C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290C2311yescharacteristic
343C4×D172—21no—
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43—21no—
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
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#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283D411yescharacteristic
369#13063283D411yescharacteristic
370#13063283C2311yescharacteristic
371#13063283C2311yescharacteristic
372#13063282C2311yescharacteristic
373#13063282C2311yescharacteristic
374#13063281—21no—
375#13063281D411yescharacteristic
376#13063281D411yescharacteristic
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43D411yescharacteristic
380C4⋊C4×D43D411yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C4⋊C4×D43C2311yescharacteristic
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43D411yescharacteristic
388C22⋊C4×D43D411yescharacteristic
389C2×C4×Dic43—21no—
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406C4⋊(C43⋊C8)C2311yescharacteristic
407C4⋊(C43⋊C8)C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412Dic43⋊C8C2311yescharacteristic
413Dic43⋊C8C2311yescharacteristic
414Dic43⋊C8C2311yescharacteristic
415Dic43⋊C8C2311yescharacteristic
416Dic43⋊C8C2311yescharacteristic
417#13063250C2311yescharacteristic
418#13063250C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063246C2311yescharacteristic
434#13063246C2311yescharacteristic
435#13063245C2311yescharacteristic
436#13063245C2311yescharacteristic
437#13063245C2311yescharacteristic
438#13063245C2311yescharacteristic
439#13063245C2311yescharacteristic
440#13063245C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#126×C43—21no—
450#125×C43C2311yescharacteristic
451#124×C43—21no—
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472C4⋊C8×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486C23×D43C2×D411yescharacteristic
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43C2×D411yescharacteristic
521#10621902—22no—
522#10621902—22no—
523#10621900—22no—
524#10621900—22no—
525D4×D43—22no—
526D4×D43—22no—
527D4×D43—22no—
528D4×D43—22no—
529D4×D43—82no—
530D4×D43—82no—
531D4×D43—82no—
532D4×D43—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172C2411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×C4×D43—22no—
543C2×C4×D43—22no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—82no—
554C2×C4×D43—82no—
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×Dic86—21no—
564C2×Dic86C2411yescharacteristic
565SD16×C43—41no—
566SD16×C43—41no—
567D8×C43—41no—
568D8×C43—41no—
569M16×C43—41no—
570C2×C8×C43—41no—
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C42×C43—21no—
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609#10621884—41no—
610#10621884—41no—
611#10621883—41no—
612#10621883—41no—
613#10621882—41no—
614#10621882—41no—
615#10621882—41no—
616#10621882—41no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—41no—
682C2×C43⋊C8—41no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—41no—
688D344—41no—
689#10621873—41no—
690#10621873—41no—
691#10621872—22no—
692#10621872—22no—
693#10621872—22no—
694#10621872—22no—
695#10621872—41no—
696#10621872—41no—
697C8×D43—41no—
698C8×D43—41no—
699C23×C43—21no—
700C23×C43—21no—
701C23×C43—21no—
702C23×C43C22×D411yescharacteristic
703C22×D43—22no—
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—21no—
707C22×D43—41no—
708C22×D43—41no—
709C22×D43—42no—
710C22×D43—42no—
711C22×D43—42no—
712C22×D43—42no—
713C22×D43—42no—
714C22×D43—42no—
715C22×D43C22×D411yescharacteristic
716C22×D43C22×D411yescharacteristic
717Q8×C43—21no—
718Q8×C43—21no—
719Q8×C43—81no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43—81no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C2511yescharacteristic
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C2×Dic43—22no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—42no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—42no—
785D172—81no—
786D172—81no—
787D172—81no—
788D172—81no—
789D172—81no—
790C4×D43—22no—
791C4×D43—21no—
792C4×D43—21no—
793C4×D43—22no—
794C4×D43—41no—
795C4×D43—41no—
796C4×D43—41no—
797C4×D43—41no—
798C4×D43—42no—
799C4×D43—42no—
800C4×D43—42no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807C4×D43H(5,𝔽2)12yes—
808C4×D432−1+412yes—
809Dic86—21no—
810Dic86—21no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43—21no—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#60920—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—82no—
849C2×D43—84no—
850C2×D43—84no—
851C2×D43#53712yes—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C2×H(5,𝔽2)11yescharacteristic
863C4×C43C2×2−1+411yescharacteristic
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#53712yes—
875#3455—431no—
876C2×#540—431no—
877#3260—431no—
878#3260—431no—
879#3260—431no—
880#3260—431no—
881#3259—431no—
882#3259—431no—
883#3259—431no—
884#3259—431no—
885#3257—431no—
886#3257—431no—
887#3257—431no—
888#3257—431no—
889#3257—431no—
890#3257—431no—
891#3257—431no—
892#3257D4311yescharacteristic, complemented
893#3080—431no—
894#3080—431no—
895#3077—431no—
896#3077—431no—
897#3055—431no—
898#3055—431no—
899#3055—431no—
900#3055—431no—
901#3038—431no—
902#3038—431no—
903#3036—431no—
904#3036—431no—
905#2905—431no—
906C2×C43—41no—
907C2×C43—81no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43C2×#53711yescharacteristic
911C2×C43#358511yescharacteristic
912C2×C43#358511yescharacteristic
913D43—22no—
914D43—41no—
915D43—81no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)—431no—
920C2×AGL(1,ℤ/8)—431no—
921C2×AGL(1,ℤ/8)—431no—
922C22×M16—431no—
923C22×M16—431no—
924#542—431no—
925#542—431no—
926#542—431no—
927#542C2×D4311yescharacteristic, complemented
928#541—431no—
929#541—431no—
930#540—431no—
931#540—431no—
932#540—431no—
933#540—431no—
934#540—431no—
935#540—431no—
936#540—431no—
937#540—431no—
938#540—431no—
939#540—861no—
940#540—861no—
941#540—861no—
942#540—861no—
943#540C2×D4311yescharacteristic
944#539—861no—
945#539—861no—
946#538—861no—
947#538—861no—
948#533—431no—
949#532—431no—
950C2×#127—431no—
951#529—861no—
952#529—861no—
953#529—861no—
954#529—861no—
955C2×#125—431no—
956#525—431no—
957#525—431no—
958C2×#123—861no—
959C2×#123—861no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—861no—
963C2×#121—861no—
964C4×#41—431no—
965C4×#41—431no—
966C2×C4×D4—431no—
967C2×C4×D4—431no—
968C2×#117—431no—
969#479—431no—
970#479—431no—
971#479—431no—
972#479—431no—
973#479—431no—
974#479—431no—
975#479—431no—
976#479C2×D4311yescharacteristic, complemented
977#478—431no—
978#478—431no—
979#478—431no—
980#478—431no—
981#478—431no—
982#478—431no—
983#478—431no—
984#478—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478—431no—
992#478C2×D4311yescharacteristic, complemented
993#476—431no—
994#476—431no—
995#476—431no—
996#476C2×D4311yescharacteristic, complemented
997#474—431no—
998#474—431no—
999#474—431no—
1000#474C2×D4311yescharacteristic, complemented
1001#469—431no—
1002#469—431no—
1003#469—431no—
1004#469—431no—
1005#469—431no—
1006#469—431no—
1007#469—431no—
1008#469C2×D4311yescharacteristic, complemented
1009#468—431no—
1010#468—431no—
1011#468—431no—
1012#468—431no—
1013#468—431no—
1014#468—431no—
1015#468—431no—
1016#468C2×D4311yescharacteristic, complemented
1017#466—431no—
1018#466—431no—
1019#466—431no—
1020#466—431no—
1021#466—431no—
1022#466—431no—
1023#466—431no—
1024#466C2×D4311yescharacteristic, complemented
1025#465—431no—
1026#465—431no—
1027#465—431no—
1028#465—431no—
1029#465—431no—
1030#465—431no—
1031#465—431no—
1032#465C2×D4311yescharacteristic, complemented
1033#463—431no—
1034#463—431no—
1035#463—431no—
1036#463—431no—
1037#463—431no—
1038#463—431no—
1039#463C2×D4311yescharacteristic, complemented
1040#463C2×D4311yescharacteristic, complemented
1041#461—431no—
1042#461—431no—
1043#461—431no—
1044#461—431no—
1045#460—431no—
1046#460—431no—
1047#460—431no—
1048#460—431no—
1049#460—431no—
1050#460—431no—
1051#460—431no—
1052#460C2×D4311yescharacteristic, complemented
1053#459—431no—
1054#459—431no—
1055#459—431no—
1056#459—431no—
1057#459—431no—
1058#459—431no—
1059#459—431no—
1060#459—431no—
1061#459—431no—
1062#459—431no—
1063#459—431no—
1064#459C2×D4311yescharacteristic, complemented
1065#428—431no—
1066#428—431no—
1067#428—431no—
1068#428—431no—
1069#424—431no—
1070#424—431no—
1071#424—431no—
1072#424—431no—
1073#424—431no—
1074#424—431no—
1075#424—431no—
1076#424C2×D4311yescharacteristic, complemented
1077#423—431no—
1078#423—431no—
1079#423—431no—
1080#423—431no—
1081#418—431no—
1082#418—431no—
1083#418—431no—
1084#418—431no—
1085#417—431no—
1086#417—431no—
1087#417—431no—
1088#417—431no—
1089C43#6092011yescharacteristic, complemented, Sylow
1090C2×#41—431no—
1091C2×#41—431no—
1092C22×D4—431no—
1093C22×D4—431no—
1094C22×D4—861no—
1095C22×D4—861no—
1096C22×D4—861no—
1097C22×D4—861no—
1098C23×C4—431no—
1099C23×C4—861no—
1100C23×C4—861no—
1101AGL(1,ℤ/8)—1722no—
1102AGL(1,ℤ/8)—1722no—
1103AGL(1,ℤ/8)—1722no—
1104AGL(1,ℤ/8)—1722no—
1105C2×SD16—431no—
1106C2×SD16—431no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16C22×D4311yescharacteristic
1112C2×SD16C22×D4311yescharacteristic
1113C2×D8—431no—
1114C2×D8—431no—
1115C2×D8—431no—
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8C22×D4311yescharacteristic
1120C2×D8C22×D4311yescharacteristic
1121C2×M16—431no—
1122C2×M16—431no—
1123C2×M16—431no—
1124C2×M16—431no—
1125C2×M16—431no—
1126C2×M16—431no—
1127C2×M16—431no—
1128C2×M16—1722no—
1129C2×M16—1722no—
1130C2×M16C22×D4311yescharacteristic
1131C22×C8—431no—
1132C22×C8—431no—
1133C22×C8—431no—
1134C22×C8C22×D4311yescharacteristic
1135C4⋊Q8—431no—
1136C4⋊Q8—431no—
1137C4⋊Q8C22×D4311yescharacteristic
1138#127—431no—
1139#127—431no—
1140#127—431no—
1141#127—431no—
1142#127—861no—
1143#127—861no—
1144#127C22×D4311yescharacteristic
1145#126—21no—
1146#126—861no—
1147#126—861no—
1148#126—861no—
1149#126—861no—
1150#126—861no—
1151#126—861no—
1152#126—861no—
1153#125—431no—
1154#125—431no—
1155#125—431no—
1156#125—431no—
1157#125—431no—
1158#125—861no—
1159#125—861no—
1160#125—861no—
1161#125—861no—
1162#125—861no—
1163#125—861no—
1164#125C22×D4311yescharacteristic
1165#124—21no—
1166#124—431no—
1167#124—861no—
1168#124—861no—
1169#124—861no—
1170#124C22×D4311yescharacteristic
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180#123—861no—
1181#123—861no—
1182#123—861no—
1183#123—861no—
1184#123—861no—
1185#123—861no—
1186#123—861no—
1187#123—861no—
1188#123—861no—
1189#123—861no—
1190#123—861no—
1191#123—861no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197C22⋊Q8—21no—
1198C22⋊Q8—431no—
1199C22⋊Q8—431no—
1200C22⋊Q8—431no—
1201C22⋊Q8—861no—
1202C22⋊Q8—861no—
1203C22⋊Q8—861no—
1204C22⋊Q8—861no—
1205C22⋊Q8—861no—
1206C22⋊Q8C22×D4311yescharacteristic
1207#121—21no—
1208#121—21no—
1209#121—431no—
1210#121—431no—
1211#121—431no—
1212#121—431no—
1213#121—431no—
1214#121—431no—
1215#121—431no—
1216#121—431no—
1217#121—431no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#121—861no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121C22×D4311yescharacteristic
1243#121C22×D4311yescharacteristic
1244#121C22×D4311yescharacteristic
1245#120—861no—
1246#120—861no—
1247C4×Q8—431no—
1248C4×Q8—431no—
1249C4×Q8—431no—
1250C4×Q8—861no—
1251C4×Q8—861no—
1252C4×Q8C22×D4311yescharacteristic
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—431no—
1256C4×D4—431no—
1257C4×D4—431no—
1258C4×D4—431no—
1259C4×D4—431no—
1260C4×D4—431no—
1261C4×D4—431no—
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×D4—861no—
1275C4×D4—861no—
1276C4×D4C22×D4311yescharacteristic
1277C4×D4C22×D4311yescharacteristic
1278C4×D4C22×D4311yescharacteristic
1279#117—431no—
1280#117—431no—
1281#117—431no—
1282#117—431no—
1283#117—431no—
1284#117—431no—
1285#117—431no—
1286#117—431no—
1287#117—431no—
1288#117—861no—
1289#117—861no—
1290#117C22×D4311yescharacteristic
1291C2×C4⋊C4—431no—
1292C2×C4⋊C4—431no—
1293C2×C4⋊C4—431no—
1294C2×C4⋊C4—431no—
1295C2×C4⋊C4—861no—
1296C2×C4⋊C4—861no—
1297C2×C22⋊C4—431no—
1298C2×C22⋊C4—431no—
1299C2×C22⋊C4—861no—
1300C2×C22⋊C4—861no—
1301C2×C22⋊C4—861no—
1302C2×C22⋊C4—861no—
1303C2×C42—431no—
1304C2×C42—431no—
1305C2×C42—861no—
1306C2×C42—861no—
1307#107—431no—
1308#107—431no—
1309#107—431no—
1310#107—431no—
1311#107—431no—
1312#107—431no—
1313#107C22×D4311yescharacteristic
1314#107C22×D4311yescharacteristic
1315#106—431no—
1316#106—431no—
1317#106—431no—
1318#106—431no—
1319#106—431no—
1320#106—431no—
1321#106C22×D4311yescharacteristic
1322#106C22×D4311yescharacteristic
1323C4⋊C8—431no—
1324C4⋊C8—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
1332C4⋊C8—431no—
1333C4⋊C8—431no—
1334C4⋊C8—431no—
1335C4⋊C8C22×D4311yescharacteristic
1336C4⋊C8C22×D4311yescharacteristic
1337C4⋊C8C22×D4311yescharacteristic
1338C4⋊C8C22×D4311yescharacteristic
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103C22×D4311yescharacteristic
1346#103C22×D4311yescharacteristic
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102—431no—
1361#102—431no—
1362#102—431no—
1363#102—431no—
1364#102—431no—
1365#102C22×D4311yescharacteristic
1366#102C22×D4311yescharacteristic
1367#102C22×D4311yescharacteristic
1368#102C22×D4311yescharacteristic
1369#102C22×D4311yescharacteristic
1370#102C22×D4311yescharacteristic
1371C24—431no—
1372C24—861no—
1373C24—861no—
1374#41—862no—
1375#41—862no—
1376#41—862no—
1377#41—862no—
1378C2×Q8—21no—
1379C2×Q8—431no—
1380C2×Q8—861no—
1381C2×Q8C23×D4311yescharacteristic
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—862no—
1395C2×D4—862no—
1396C2×D4—862no—
1397C2×D4—862no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
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—3442no—
1416C2×D4—3442no—
1417C2×D4—3442no—
1418C2×D4—3442no—
1419C2×D4C23×D4311yescharacteristic
1420C2×D4C23×D4311yescharacteristic
1421C2×D4C23×D4311yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
1428C22×C4—431no—
1429C22×C4—431no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—862no—
1435C22×C4—862no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—3442no—
1450C22×C4—3442no—
1451C22×C4C23×D4311yescharacteristic
1452SD16—41no—
1453SD16—41no—
1454SD16—1721no—
1455SD16—1721no—
1456SD16—1721no—
1457SD16—1721no—
1458SD16—1721no—
1459SD16—1721no—
1460D8—41no—
1461D8—41no—
1462D8—1721no—
1463D8—1721no—
1464D8—1721no—
1465D8—1721no—
1466D8—1721no—
1467D8—1721no—
1468M16—41no—
1469M16—862no—
1470M16—862no—
1471M16—862no—
1472M16—862no—
1473M16—1721no—
1474M16—1721no—
1475M16—1721no—
1476C2×C8—41no—
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—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
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—861no—
1504C4⋊C4—861no—
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⋊C4—861no—
1524C4⋊C4D4×D4311yescharacteristic
1525C4⋊C4D4×D4311yescharacteristic
1526C4⋊C4C23×D4311yescharacteristic
1527C4⋊C4C23×D4311yescharacteristic
1528C4⋊C4C23×D4311yescharacteristic
1529C4⋊C4C23×D4311yescharacteristic
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—431no—
1542C22⋊C4—431no—
1543C22⋊C4—431no—
1544C22⋊C4—431no—
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⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4D4×D4311yescharacteristic
1571C22⋊C4D4×D4311yescharacteristic
1572C42—21no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—431no—
1577C42—431no—
1578C42—431no—
1579C42—861no—
1580C42—861no—
1581C42—861no—
1582C42—861no—
1583C42—861no—
1584C42C23×D4311yescharacteristic
1585C42C23×D4311yescharacteristic
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—431no—
1590C23—431no—
1591C23—862no—
1592C23—861no—
1593C23—861no—
1594C23—861no—
1595C23—1721no—
1596C23—1721no—
1597C23—1722no—
1598C23—1722no—
1599C23—1722no—
1600C23—1722no—
1601C23—1722no—
1602C23—1722no—
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—861no—
1608Q8—861no—
1609Q8—3441no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—861no—
1622D4—861no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—3441no—
1628D4—3441no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—3441no—
1641D4—3441no—
1642D4—3441no—
1643D4—3441no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—431no—
1659C2×C4—432no—
1660C2×C4—432no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—862no—
1667C2×C4—862no—
1668C2×C4—862no—
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—1721no—
1686C2×C4—1721no—
1687C2×C4—1721no—
1688C2×C4—1721no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4C2×D4×D4311yescharacteristic
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—21no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8—861no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—432no—
1720C22—861no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—861no—
1725C22—3442no—
1726C22—3444no—
1727C22—3444no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—432no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4H(5,𝔽2)×D4311yescharacteristic
1760C42−1+4×D4311yescharacteristic
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—862no—
1766C2—3441no—
1767C2—3441no—
1768C2—3441no—
1769C2—1721no—
1770C2#537×D4311yescharacteristic
1771C2#1914937011yescharacteristic
1772C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3257C2
socleC22×C43C23×D4
hypercenter#3257D43
hypocenterC43#60920
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #19147982C2semidirect
2. #540×D43C2semidirect
3. #19146040C2semidirect
4. #19146039C2semidirect
5. #19146037C2semidirect
6. #19146035C2semidirect
7. #19146033C2semidirect
8. #19146032C2semidirect
9. #19146031C2semidirect
10. #19146029C2semidirect
11. #19146013C2semidirect
12. #19146011C2semidirect
13. #19146008C2semidirect
14. #19146006C2semidirect
15. #19146005C2semidirect
16. #19146003C2semidirect
17. #19146000C2semidirect
18. #19144414C2semidirect
19. #19144412C2semidirect
20. #19144393C2semidirect
21. #19144387C2semidirect
22. #19144213C2semidirect
23. #19144211C2semidirect
24. #19144209C2semidirect
25. #19144207C2semidirect
26. #19144072C2semidirect
27. #19144070C2semidirect
28. #19144057C2semidirect
29. #19144057C2semidirect
30. #19143156C2semidirect
31. C43×#3257C2semidirect
38. #14583523C22semidirect
39. #14583520C22semidirect
40. #14583518C22semidirect
41. #14583509C22semidirect
42. #14583507C22semidirect
48. #14583502C22semidirect
53. #14583500C22semidirect
81. #14583209C22semidirect
82. #14583208C22semidirect
83. #14583207C22semidirect
84. #14583206C22semidirect
85. #14583205C22semidirect
86. #14583204C22semidirect
87. #14583203C22semidirect
88. #14583202C22semidirect
89. #14583202C22semidirect
90. #14583202C22semidirect
91. #14583201C22semidirect
92. #14583201C22semidirect
93. #14583201C22semidirect
94. #14583200C22semidirect
95. #14583199C22semidirect
96. #14583198C22semidirect
97. #14583198C22semidirect
98. #14583198C22semidirect
99. #14583197C22semidirect
100. #14583197C22semidirect
101. #14583197C22semidirect
102. #14583196C22semidirect
103. #14583190C22semidirect
104. #14583189C22semidirect
105. #14583186C22semidirect
106. #14583180C22semidirect
107. #14583179C22semidirect
108. #14583176C22semidirect
109. #14583153C22semidirect
110. #14583152C22semidirect
111. #14583151C22semidirect
112. #14583151C22semidirect
113. #14583150C22semidirect
114. #14583150C22semidirect
115. #14583149C22semidirect
116. #14583148C22semidirect
117. #14583147C22semidirect
118. #14583146C22semidirect
119. #14583145C22semidirect
120. #14583144C22semidirect
121. #14583143C22semidirect
122. #14583142C22semidirect
123. #14583136C22semidirect
124. #14583135C22semidirect
125. #14583134C22semidirect
126. #14583134C22semidirect
127. #14583133C22semidirect
128. #14583133C22semidirect
129. #14583132C22semidirect
130. #14583131C22semidirect
131. #14583130C22semidirect
132. #14583129C22semidirect
133. #14583128C22semidirect
134. #14583127C22semidirect
135. #14583126C22semidirect
136. #14583125C22semidirect
137. #14583115C22semidirect
138. #14583115C22semidirect
139. #14583114C22semidirect
140. #14583114C22semidirect
141. #14583111C22semidirect
142. #14583111C22semidirect
143. #14583103C22semidirect
144. #14583103C22semidirect
145. #14583102C22semidirect
146. #14583102C22semidirect
147. #14583100C22semidirect
148. #14583099C22semidirect
149. #14583098C22semidirect
150. #14583098C22semidirect
151. #14583097C22semidirect
152. #14583097C22semidirect
153. #14583096C22semidirect
154. #14583095C22semidirect
155. #14583094C22semidirect
156. #14583093C22semidirect
157. #14583093C22semidirect
158. #14583093C22semidirect
159. #14583093C22semidirect
160. #14583092C22semidirect
161. #14583092C22semidirect
162. #14583092C22semidirect
163. #14583092C22semidirect
164. #14583091C22semidirect
169. #14582927C22semidirect
170. #14582926C22semidirect
171. #14582925C22semidirect
172. #14582924C22semidirect
173. #14582924C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
188. C43×#542C22semidirect
190. C43×#479C22semidirect
191. C43×#478C22semidirect
192. C43×#476C22semidirect
193. C43×#474C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
196. C43×#466C22semidirect
197. C43×#465C22semidirect
198. C43×#463C22semidirect
199. C43×#463C22semidirect
200. C43×#460C22semidirect
201. C43×#459C22semidirect
202. C43×#424C22semidirect
892. #3257D43semidirect
927. #542C2×D43semidirect
976. #479C2×D43semidirect
992. #478C2×D43semidirect
996. #476C2×D43semidirect
1000. #474C2×D43semidirect
1008. #469C2×D43semidirect
1016. #468C2×D43semidirect
1024. #466C2×D43semidirect
1032. #465C2×D43semidirect
1039. #463C2×D43semidirect
1040. #463C2×D43semidirect
1052. #460C2×D43semidirect
1064. #459C2×D43semidirect
1076. #424C2×D43semidirect
1089. C43#60920semidirect

Maximal subgroups

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

subgroupindex
#191479822
#540×D432
#191460402
#191460392
#191460372
#191460352
#191460332
#191460322
#191460312
#191460292
#191460132
#191460112
#191460082
#191460062
#191460052
#191460032
#191460002
#191444142
#191444122
#191443932
#191443872
#191442132
#191442112
#191442092
#191442072
#191440722
#191440702
#191440572
#191431562
C43×#32572
#6092043