Finite Group Databasebeta

← #25983187

Subgroups — #25983187

Order 11008.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148874C211yesmaximal, characteristic, complemented
2#19148274C211yesmaximal, characteristic, complemented
3#19146912C211yesmaximal, characteristic, complemented
4#19146880C211yesmaximal, characteristic, complemented
5#19146841C211yesmaximal, characteristic, complemented
6#19146806C211yesmaximal, characteristic, complemented
7#19146706C211yesmaximal, characteristic, complemented
8#19146650C211yesmaximal, characteristic, complemented
9#19146638C211yesmaximal, characteristic, complemented
10#19146566C211yesmaximal, characteristic, complemented
11#19146235C211yesmaximal, characteristic, complemented
12#19146234C211yesmaximal, characteristic, complemented
13#19146225C211yesmaximal, characteristic, complemented
14#19146160C211yesmaximal, characteristic, complemented
15#19146159C211yesmaximal, characteristic, complemented
16#19146151C211yesmaximal, characteristic, complemented
17#19146113C211yesmaximal, characteristic, complemented
18#19145697C211yesmaximal, characteristic, complemented
19#19145675C211yesmaximal, characteristic, complemented
20#19145504C211yesmaximal, characteristic, complemented
21#19145472C211yesmaximal, characteristic, complemented
22#19145420C211yesmaximal, characteristic, complemented
23#19145417C211yesmaximal, characteristic, complemented
24#19144871C211yesmaximal, characteristic, complemented
25#19144815C211yesmaximal, characteristic, complemented
26#19143909C211yesmaximal, characteristic, complemented
27#19143885C211yesmaximal, characteristic, complemented
28#19143851C211yesmaximal, characteristic, complemented
29#19143833C211yesmaximal, characteristic, complemented
30#19143652C211yesmaximal, characteristic, complemented
31C43×#3277C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063356C2211yescharacteristic
36C2×#13063354C2211yescharacteristic
37C2×#13063349C2211yescharacteristic
38C2×#13063345C2211yescharacteristic, complemented
39C2×Q16×D43C2211yescharacteristic, complemented
40#14583650—21no—
41#14583643—21no—
42#14583622C2211yescharacteristic
43#14583608—21no—
44#14583606C2211yescharacteristic, complemented
45#14583601C2211yescharacteristic, complemented
46#14583592—21no—
47#14583591C2211yescharacteristic
48Q8×D172C2211yescharacteristic
49Q8×C22⋊D43C2211yescharacteristic
50Q8×C22⋊D43C2211yescharacteristic, complemented
51#14583557C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583554—21no—
54#14583554C2211yescharacteristic
55#14583551—21no—
56#14583551C2211yescharacteristic
57#14583548C2211yescharacteristic
58#14583546—21no—
59#14583546C2211yescharacteristic
60#14583542—21no—
61#14583542C2211yescharacteristic
62#14583518C2211yescharacteristic, complemented
63#14583513—21no—
64#14583507C2211yescharacteristic, complemented
65#14583498—21no—
66#14583486—21no—
67#14583482—21no—
68#14583478—21no—
69#14583478C2211yescharacteristic
70#14583477C2211yescharacteristic, complemented
71#14583472C2211yescharacteristic, complemented
72#14583469—21no—
73#14583469C2211yescharacteristic
74#14583409C2211yescharacteristic
75#14583408—21no—
76#14583408C2211yescharacteristic
77C2×#13063301C2211yescharacteristic
78C22⋊Q8×D43—21no—
79C22⋊Q8×D43C2211yescharacteristic
80#14583381C2211yescharacteristic
81#14583294C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic, complemented
83#14583277C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583258C2211yescharacteristic, complemented
86#14583252C2211yescharacteristic, complemented
87#14583250C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic
89#14583242C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic
91#14583236C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic, complemented
93#14583230C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583215C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic, complemented
102#14583190C2211yescharacteristic, complemented
103#14583184C2211yescharacteristic, complemented
104#14583157C2211yescharacteristic, complemented
105#14583157C2211yescharacteristic, complemented
106#14583156C2211yescharacteristic
107#14583156C2211yescharacteristic
108#14583156C2211yescharacteristic, complemented
109#14583155C2211yescharacteristic, complemented
110#14583154C2211yescharacteristic
111#14583154C2211yescharacteristic
112#14583149C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583138C2211yescharacteristic, complemented
115#14583127C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583119C2211yescharacteristic, complemented
119#14583118C2211yescharacteristic, complemented
120#14583112C2211yescharacteristic, complemented
121#14583111C2211yescharacteristic, complemented
122#14583110C2211yescharacteristic, complemented
123#14583109C2211yescharacteristic, complemented
124#14583107C2211yescharacteristic, complemented
125#14583107C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic
129#14583063C2211yescharacteristic
130#14583063C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583061C2211yescharacteristic
134#14583061C2211yescharacteristic, complemented
135#14583060C2211yescharacteristic
136#14583060C2211yescharacteristic
137#14583060C2211yescharacteristic, complemented
138#14583059C2211yescharacteristic, complemented
139#14583058C2211yescharacteristic
140#14583058C2211yescharacteristic
141#14583058C2211yescharacteristic
142#14583056C2211yescharacteristic, complemented
143#14583056C2211yescharacteristic, complemented
144#14583055C2211yescharacteristic, complemented
145#14583055C2211yescharacteristic, complemented
146#14583053C2211yescharacteristic
147#14583053C2211yescharacteristic
148#14583053C2211yescharacteristic, complemented
149#14583053C2211yescharacteristic, complemented
150#14583053C2211yescharacteristic, complemented
151#14583048C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583043C2211yescharacteristic
154#14583043C2211yescharacteristic, complemented
155#14583042C2211yescharacteristic
156#14583041C2211yescharacteristic
157#14583036C2211yescharacteristic, complemented
158#14583036C2211yescharacteristic, complemented
159#14583036C2211yescharacteristic, complemented
160#14583008C2211yescharacteristic, complemented
161#14583006C2211yescharacteristic, complemented
162#14583004C2211yescharacteristic, complemented
163#14582997C2211yescharacteristic, complemented
164C4×#10621873C2211yescharacteristic, complemented
165SD16×Dic43C2211yescharacteristic, complemented
166#14582984C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582974C2211yescharacteristic, complemented
170#14582971C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic
172#14582968C2211yescharacteristic, complemented
173#14582967C2211yescharacteristic
174#14582959C2211yescharacteristic, complemented
175#14582958C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic, complemented
178#14582902C2211yescharacteristic
179#14582901C2211yescharacteristic
180#14582901C2211yescharacteristic, complemented
181#14582900C2211yescharacteristic
182#14582894C2211yescharacteristic, complemented
183C2×#13063249C2211yescharacteristic, complemented
184#14582867C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186#14582862C2211yescharacteristic
187#14582861C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C2×#137×C43C2211yescharacteristic, complemented
190C43×#548C2211yescharacteristic
191C43×#548C2211yescharacteristic, complemented
192C43×#495C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#451C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#449C2211yescharacteristic
200C43×#449C2211yescharacteristic, complemented
201C4×Q16×C43C2211yescharacteristic, complemented
202C43×#436C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898—21no—
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621900—21no—
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217#41×D43—42no—
218#41×D43—42no—
219C2×Q8×D43—21no—
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×Q8×D43C2311yescharacteristic
224C2×D4×D43—21no—
225C2×D4×D43C2311yescharacteristic
226C22×C4×D43—21no—
227C22×C4×D43C2311yescharacteristic
228#13063357—42no—
229#13063356—42no—
230#13063354—42no—
231#13063349—42no—
232#13063345—42no—
233C2×Dic172C2311yescharacteristic
234C2×Dic172C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241Q16×D43—42no—
242C2×#10621873C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621884C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248C2×#10621882C2311yescharacteristic
249C2×#10621877C2311yescharacteristic
250C2×#10621872C2311yescharacteristic
251C2×#10621872C2311yescharacteristic
252C2×#10621872C2311yescharacteristic
253C22×C43⋊C8C2311yescharacteristic
254C2×C8×D43C2311yescharacteristic
255#13063325—21no—
256#13063325C2311yescharacteristic
257#13063325C2311yescharacteristic
258#13063324—21no—
259#13063323—21no—
260#13063323—21no—
261#13063323C2311yescharacteristic
262#13063323C2311yescharacteristic
263#13063320—21no—
264#13063320—21no—
265#13063320—21no—
266#13063320—21no—
267#13063319—21no—
268#13063318—21no—
269#13063318—21no—
270#13063317—21no—
271#13063316—21no—
272#13063316—21no—
273#13063316C2311yescharacteristic
274#13063315—21no—
275#13063313—21no—
276#13063312—21no—
277#13063312C2311yescharacteristic
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310D411yescharacteristic
284#13063309—21no—
285#13063309—21no—
286#13063309—21no—
287#13063308—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307D411yescharacteristic
298#13063306—21no—
299#13063305—21no—
300#13063305—21no—
301#13063305C2311yescharacteristic
302#13063305C2311yescharacteristic
303#13063305C2311yescharacteristic
304#13063304—21no—
305#13063304—21no—
306#13063304—21no—
307#13063304—21no—
308#13063304C2311yescharacteristic
309#13063304C2311yescharacteristic
310#13063304C2311yescharacteristic
311#13063304C2311yescharacteristic
312#13063303—21no—
313#13063303D411yescharacteristic
314#13063302—21no—
315#13063302—21no—
316#13063302—21no—
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063302—21no—
321#13063302—21no—
322#13063302D411yescharacteristic
323#13063301—21no—
324#13063301—21no—
325#13063301—21no—
326#13063301—21no—
327#13063301C2311yescharacteristic
328#13063301C2311yescharacteristic
329#13063301C2311yescharacteristic
330#13063301C2311yescharacteristic
331#13063301C2311yescharacteristic
332#13063301C2311yescharacteristic
333#13063299—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298D411yescharacteristic
339#13063297—21no—
340#13063297—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297D411yescharacteristic
345#13063296—21no—
346#13063296—21no—
347#13063296—21no—
348#13063296—21no—
349#13063296C2311yescharacteristic
350#13063296C2311yescharacteristic
351#13063296C2311yescharacteristic
352#13063295—21no—
353#13063295D411yescharacteristic
354#13063293—21no—
355#13063293—21no—
356#13063293D411yescharacteristic
357Q8×Dic43C2311yescharacteristic
358Q8×Dic43C2311yescharacteristic
359C4×Dic86—21no—
360C4×Dic86C2311yescharacteristic
361C4×D172—21no—
362C4×D172—21no—
363C4×D172C2311yescharacteristic
364C4×D172C2311yescharacteristic
365D4×Dic43—21no—
366D4×Dic43—21no—
367D4×Dic43—21no—
368D4×Dic43C2311yescharacteristic
369#13063287—21no—
370#13063287C2311yescharacteristic
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43C2311yescharacteristic
375C4×C22⋊D43C2311yescharacteristic
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378#13063283C2311yescharacteristic
379#13063283C2311yescharacteristic
380#13063282—21no—
381#13063282C2311yescharacteristic
382#13063281—21no—
383C2×C4⋊Dic43C2311yescharacteristic
384C2×C4⋊Dic43C2311yescharacteristic
385C2×Dic43⋊C4—21no—
386C2×Dic43⋊C4—21no—
387C4⋊C4×D43—21no—
388C4⋊C4×D43—21no—
389C4⋊C4×D43—21no—
390C4⋊C4×D43—21no—
391C4⋊C4×D43C2311yescharacteristic
392C2×(C2×D43)⋊C4—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C22⋊C4×D43—21no—
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442#13063236C2311yescharacteristic
443#13063235C2311yescharacteristic
444C8×Dic43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×#41×C43C2311yescharacteristic
447C22×Q8×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449#137×C43—42no—
450#137×C43—42no—
451C2×Q16×C43C2311yescharacteristic
452C2×Q16×C43C2311yescharacteristic
453C2×Q16×C43C2311yescharacteristic
454C2×Q16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C2×SD16×C43C2311yescharacteristic
458C2×SD16×C43C2311yescharacteristic
459C2×D8×C43C2311yescharacteristic
460C2×M16×C43C2311yescharacteristic
461C2×M16×C43C2311yescharacteristic
462#124×C43—21no—
463#124×C43—21no—
464#124×C43C2311yescharacteristic
465#124×C43C2311yescharacteristic
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43—21no—
468C22⋊Q8×C43C2311yescharacteristic
469C22⋊Q8×C43C2311yescharacteristic
470#121×C43—21no—
471#121×C43—21no—
472#121×C43C2311yescharacteristic
473#121×C43C2311yescharacteristic
474C4×Q8×C43C2311yescharacteristic
475C4×Q8×C43C2311yescharacteristic
476C4×D4×C43—21no—
477C4×D4×C43—21no—
478C4×D4×C43C2311yescharacteristic
479#107×C43C2311yescharacteristic
480C4⋊C8×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#103×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—41no—
494#41×C43—41no—
495#41×C43—41no—
496C2×Q8×C43—21no—
497C2×Q8×C43—21no—
498C2×Q8×C43—22no—
499C2×Q8×C43—41no—
500C2×Q8×C43—41no—
501C2×Q8×C43—41no—
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×Q8×C43C2411yescharacteristic
505C2×Q8×C43C2411yescharacteristic
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43C2×D411yescharacteristic
511C2×D4×C43C2411yescharacteristic
512C2×D4×C43C2411yescharacteristic
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊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×Dic43C2×D411yescharacteristic
537#10621902—22no—
538#10621902—22no—
539#10621902—22no—
540#10621902—41no—
541#10621902—44no—
542Q8×D43—22no—
543Q8×D43—22no—
544Q8×D43—41no—
545Q8×D43—41no—
546Q8×D43—41no—
547Q8×D43—41no—
548Q8×D43—41no—
549Q8×D43—41no—
550Q8×D43—44no—
551#10621900—41no—
552#10621900—41no—
553#10621900—41no—
554#10621900—41no—
555#10621900—44no—
556D4×D43—22no—
557D4×D43—41no—
558D4×D43—44no—
559#10621898—22no—
560#10621898—22no—
561#10621898—41no—
562#10621898—41no—
563#10621898—41no—
564#10621898—41no—
565#10621898—44no—
566#10621898—44no—
567#10621898—44no—
568C2×D172—21no—
569C2×D172—21no—
570C2×D172C2×D411yescharacteristic
571C2×D172C2×D411yescharacteristic
572C2×D172C2411yescharacteristic
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—41no—
585C2×C4×D43—41no—
586C2×C4×D43—44no—
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2×D411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×C4×D43C2411yescharacteristic
592C2×Dic86—21no—
593C2×Dic86—21no—
594C2×Dic86—21no—
595C2×Dic86—21no—
596C2×Dic86—21no—
597C2×Dic86C2×D411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600C2×Dic86C2411yescharacteristic
601Q16×C43—22no—
602Q16×C43—22no—
603Q16×C43—41no—
604Q16×C43—41no—
605SD16×C43—22no—
606SD16×C43—41no—
607SD16×C43—41no—
608SD16×C43—41no—
609D8×C43—41no—
610M16×C43—41no—
611M16×C43—41no—
612C2×C8×C43C2411yescharacteristic
613C2×C8×C43C2411yescharacteristic
614C2×C8×C43C2411yescharacteristic
615C2×C8×C43C2411yescharacteristic
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43C2×D411yescharacteristic
621C4⋊C4×C43C2411yescharacteristic
622C4⋊C4×C43C2411yescharacteristic
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43C2×D411yescharacteristic
632C22⋊C4×C43C2×D411yescharacteristic
633C42×C43—21no—
634C42×C43—21no—
635C42×C43C2411yescharacteristic
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43C2×D411yescharacteristic
647C22⋊Dic43C2×D411yescharacteristic
648#10621885—22no—
649#10621885—41no—
650#10621885—41no—
651#10621885—41no—
652#10621885—41no—
653#10621885—41no—
654#10621884—22no—
655#10621884—22no—
656#10621883—41no—
657#10621883—41no—
658#10621883—41no—
659#10621882—22no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4C2×D411yescharacteristic
674(C2×D43)⋊C4C2×D411yescharacteristic
675(C2×D43)⋊C4C2×D411yescharacteristic
676(C2×D43)⋊C4C2×D411yescharacteristic
677(C2×D43)⋊C4C2×D411yescharacteristic
678(C2×D43)⋊C4C2×D411yescharacteristic
679C4⋊Dic43—21no—
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43—21no—
688C4⋊Dic43—21no—
689C4⋊Dic43—21no—
690C4⋊Dic43C2×D411yescharacteristic
691C4⋊Dic43C2411yescharacteristic
692C4⋊Dic43C2411yescharacteristic
693C4⋊Dic43C2411yescharacteristic
694C4⋊Dic43C2411yescharacteristic
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4C2×D411yescharacteristic
713Dic43⋊C4C2×D411yescharacteristic
714Dic43⋊C4C2×D411yescharacteristic
715Dic43⋊C4C2×D411yescharacteristic
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43C2411yescharacteristic
722#10621877—41no—
723C2×C43⋊C8—41no—
724C2×C43⋊C8C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726C2×C43⋊C8C2411yescharacteristic
727C2×C43⋊C8C2411yescharacteristic
728Dic172—41no—
729Dic172—41no—
730#10621873—22no—
731#10621872—41no—
732#10621872—41no—
733#10621872—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43C22×D411yescharacteristic
738C23×C43C22×D411yescharacteristic
739C22×D43—21no—
740C22×D43—41no—
741C22×D43—41no—
742C22×D43—41no—
743C22×D43—42no—
744C22×D43—42no—
745C22×D43—81no—
746C22×D43C22×D411yescharacteristic
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—42no—
757Q8×C43—81no—
758Q8×C43H(5,𝔽2)12yes—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—41no—
764D4×C43—42no—
765D4×C43—42no—
766D4×C43—81no—
767D4×C43—81no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—42no—
779C2×C4×C43—42no—
780C2×C4×C43—81no—
781C2×C4×C43—81no—
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C22×D411yescharacteristic
786C2×C4×C43C2511yescharacteristic
787C22⋊D43—41no—
788C22⋊D43—41no—
789C22⋊D43—41no—
790C22⋊D43—41no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—81no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—41no—
807C2×Dic43—42no—
808C2×Dic43—81no—
809C2×Dic43—81no—
810C2×Dic43—81no—
811C2×Dic43—81no—
812C2×Dic43C22×D411yescharacteristic
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817D172—24no—
818D172—21no—
819D172—41no—
820D172—41no—
821D172—42no—
822D172H(5,𝔽2)12yes—
823C4×D43—24no—
824C4×D43—21no—
825C4×D43—21no—
826C4×D43—21no—
827C4×D43—21no—
828C4×D43—21no—
829C4×D43—21no—
830C4×D43—41no—
831C4×D43—41no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—42no—
835C4×D43—42no—
836C4×D43—42no—
837C4×D43—42no—
838C4×D43—81no—
839C4×D43—81no—
840C4×D43—81no—
841C4×D43—81no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—21no—
848Dic86—41no—
849Dic86—42no—
850Dic86—42no—
851Dic86—42no—
852Dic86—81no—
853Dic86—81no—
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C8×C43—21no—
858C43⋊C8—21no—
859C43⋊C8—21no—
860C43⋊C8—21no—
861C43⋊C8—21no—
862#61655—431nomaximal, Sylow
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—21no—
866C22×C43—21no—
867C22×C43—21no—
868C22×C43—21no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43C23×D411yescharacteristic
876C2×D43—21no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—21no—
882C2×D43—22no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—82no—
889C2×D43—84no—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—22no—
893C4×C43—21no—
894C4×C43—21no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43—41no—
899C4×C43—41no—
900C4×C43C2×H(5,𝔽2)11yescharacteristic
901C4×C43C2×H(5,𝔽2)11yescharacteristic
902Dic43—21no—
903Dic43—21no—
904Dic43—21no—
905Dic43—21no—
906Dic43—21no—
907Dic43—41no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914#3541—431no—
915#3489—431no—
916#3331—431no—
917#3328—431no—
918#3326—431no—
919#3323—431no—
920#3316—431no—
921#3312—431no—
922#3311—431no—
923#3307—431no—
924#3277D4311yescharacteristic, complemented
925#3276—431no—
926#3276—431no—
927#3275—431no—
928#3270—431no—
929#3270—431no—
930#3269—431no—
931#3267—431no—
932#3225—431no—
933#3223—431no—
934#3204—431no—
935#3201—431no—
936#3196—431no—
937#3195—431no—
938#3125—431no—
939#3120—431no—
940#3013—431no—
941#3011—431no—
942#3007—431no—
943#3005—431no—
944#2978—431no—
945C2×C43—41no—
946C2×C43—41no—
947C2×C43—81no—
948C2×C43—81no—
949C2×C43#348411yescharacteristic
950C2×C43#358611yescharacteristic
951C2×C43#358611yescharacteristic
952D43—41no—
953D43—41no—
954D43—41no—
955D43—42no—
956C2×2−1+4—431no—
957C22×#41—431no—
958C2×#137—431no—
959C2×#137—431no—
960C2×#137—431no—
961C2×#137C2×D4311yescharacteristic
962C2×#137C2×D4311yescharacteristic, complemented
963C2×AGL(1,ℤ/8)—431no—
964C2×#135—431no—
965C22×Q16—431no—
966#563—861no—
967#562—861no—
968#556—431no—
969#554—431no—
970#554—861no—
971#553—431no—
972#553—861no—
973#552—431no—
974D4×Q8—431no—
975D4×Q8—431no—
976D4×Q8—431no—
977#548—431no—
978#548—431no—
979#548C2×D4311yescharacteristic
980#548C2×D4311yescharacteristic, complemented
981#547—431no—
982#547—431no—
983#547—431no—
984#547—861no—
985#547—861no—
986#546—431no—
987#546—431no—
988#546—861no—
989#546—861no—
990#542—431no—
991#542—861no—
992#541—431no—
993#539—861no—
994#538—861no—
995#538—861no—
996#537—431no—
997#537—431no—
998#537—861no—
999#536—431no—
1000#536—431no—
1001#536—861no—
1002#525—431no—
1003#525—431no—
1004#525—861no—
1005C2×C22⋊Q8—431no—
1006C2×C22⋊Q8—431no—
1007C2×C22⋊Q8—861no—
1008#520—431no—
1009#497—431no—
1010#497—431no—
1011#495C2×D4311yescharacteristic, complemented
1012#494—431no—
1013#491—431no—
1014#489—431no—
1015#488—431no—
1016#487—431no—
1017#485—431no—
1018#485—431no—
1019#485—431no—
1020#484—431no—
1021#483—431no—
1022#483—431no—
1023#483—431no—
1024#483—431no—
1025#483—431no—
1026#482—431no—
1027#481—431no—
1028#481—431no—
1029#479—431no—
1030#478—431no—
1031#476—431no—
1032#475—431no—
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#470—431no—
1038#470—431no—
1039#470—431no—
1040#470—431no—
1041#469—431no—
1042#468—431no—
1043#468C2×D4311yescharacteristic, complemented
1044#468C2×D4311yescharacteristic, complemented
1045#467—431no—
1046#465—431no—
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464—431no—
1051#464C2×D4311yescharacteristic, complemented
1052#464C2×D4311yescharacteristic, complemented
1053#463—431no—
1054#463—431no—
1055#462—431no—
1056#462—431no—
1057#462—431no—
1058#462—431no—
1059#461—431no—
1060#461—431no—
1061#452—431no—
1062#452—431no—
1063#452—431no—
1064#452—431no—
1065#452—431no—
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#452—431no—
1071#452—431no—
1072#452—431no—
1073#452—431no—
1074#452—431no—
1075#451—431no—
1076#451—431no—
1077#451—431no—
1078#451—431no—
1079#451—431no—
1080#451—431no—
1081#451—431no—
1082#451—431no—
1083#451—431no—
1084#451C2×D4311yescharacteristic, complemented
1085#451C2×D4311yescharacteristic, complemented
1086#450—431no—
1087#450—431no—
1088#449—431no—
1089#449—431no—
1090#449—431no—
1091#449—431no—
1092#449C2×D4311yescharacteristic
1093#449C2×D4311yescharacteristic, complemented
1094#448—431no—
1095#448—431no—
1096#448—431no—
1097#442—431no—
1098#441—431no—
1099#441—431no—
1100#440—431no—
1101C4×Q16C2×D4311yescharacteristic, complemented
1102C4×SD16—431no—
1103C4×SD16—431no—
1104C4×SD16—431no—
1105#436—431no—
1106#436—431no—
1107#436—431no—
1108#436C2×D4311yescharacteristic, complemented
1109#435—431no—
1110#435—431no—
1111#435—431no—
1112#435—431no—
1113#433—431no—
1114#433—431no—
1115#419—431no—
1116#419—431no—
1117#418—431no—
1118#417—431no—
1119#417—431no—
1120#417—431no—
1121#416—431no—
1122C2×#103—431no—
1123#408—431no—
1124#408—431no—
1125#407—431no—
1126#407—431no—
1127C43#6165511yescharacteristic, complemented, Sylow
11282−1+4—1722no—
11292−1+4—1722no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—861no—
1138C2×#41—861no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—1722no—
1143C2×#41—1722no—
1144C2×#41C22×D4311yescharacteristic
1145C2×#41C22×D4311yescharacteristic
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×Q8—431no—
1149C22×Q8—431no—
1150C22×Q8—861no—
1151C22×Q8C22×D4311yescharacteristic
1152C22×Q8C22×D4311yescharacteristic
1153C22×D4—431no—
1154C22×D4—861no—
1155C23×C4—431no—
1156C23×C4—861no—
1157#137—42no—
1158#137—42no—
1159#137—1722no—
1160#137—1722no—
1161#137—1722no—
1162AGL(1,ℤ/8)—1722no—
1163#135—1722no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×Q16—431no—
1167C2×Q16—431no—
1168C2×Q16—431no—
1169C2×Q16—431no—
1170C2×Q16—431no—
1171C2×Q16—431no—
1172C2×Q16—1722no—
1173C2×Q16C22×D4311yescharacteristic
1174C2×Q16C22×D4311yescharacteristic
1175C2×Q16C22×D4311yescharacteristic
1176C2×Q16C22×D4311yescharacteristic
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16C22×D4311yescharacteristic
1184C2×SD16C22×D4311yescharacteristic
1185C2×SD16C22×D4311yescharacteristic
1186C2×SD16C22×D4311yescharacteristic
1187C2×D8—431no—
1188C2×D8C22×D4311yescharacteristic
1189C2×M16—431no—
1190C2×M16—431no—
1191C2×M16—431no—
1192C2×M16—431no—
1193C2×M16C22×D4311yescharacteristic
1194C2×M16C22×D4311yescharacteristic
1195C22×C8—431no—
1196C22×C8—431no—
1197C4⋊Q8—431no—
1198C4⋊Q8—431no—
1199C4⋊Q8—431no—
1200C4⋊Q8—431no—
1201C4⋊Q8—861no—
1202C4⋊Q8—861no—
1203C4⋊Q8—861no—
1204C4⋊Q8—861no—
1205#126—861no—
1206#126—861no—
1207#126—861no—
1208#126—861no—
1209#126—861no—
1210#126—861no—
1211#126—861no—
1212#125—431no—
1213#125—861no—
1214#125—861no—
1215#125—861no—
1216#125—861no—
1217#124—21no—
1218#124—21no—
1219#124—431no—
1220#124—861no—
1221#124—861no—
1222#124—861no—
1223#124—861no—
1224#124—861no—
1225#124C22×D4311yescharacteristic
1226#124C22×D4311yescharacteristic
1227#123—431no—
1228#123—431no—
1229#123—861no—
1230#123—861no—
1231#123—861no—
1232#123—861no—
1233#123—861no—
1234#123—861no—
1235#123—861no—
1236#123—861no—
1237#123—861no—
1238#123—861no—
1239#123—861no—
1240#123—861no—
1241#123—861no—
1242#123—861no—
1243#123—861no—
1244#123—861no—
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—431no—
1248C22⋊Q8—431no—
1249C22⋊Q8—431no—
1250C22⋊Q8—431no—
1251C22⋊Q8—431no—
1252C22⋊Q8—431no—
1253C22⋊Q8—431no—
1254C22⋊Q8—431no—
1255C22⋊Q8—431no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—431no—
1261C22⋊Q8—431no—
1262C22⋊Q8—861no—
1263C22⋊Q8—861no—
1264C22⋊Q8—861no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8C22×D4311yescharacteristic
1282C22⋊Q8C22×D4311yescharacteristic
1283#121—21no—
1284#121—21no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—431no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121C22×D4311yescharacteristic
1305#121C22×D4311yescharacteristic
1306#120—431no—
1307#120—431no—
1308#120—861no—
1309#120—861no—
1310#120—861no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—861no—
1315C4×Q8C22×D4311yescharacteristic
1316C4×Q8C22×D4311yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—861no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4C22×D4311yescharacteristic
1337#117—431no—
1338#117—431no—
1339#117—431no—
1340#117—861no—
1341#117—861no—
1342C2×C4⋊C4—431no—
1343C2×C4⋊C4—431no—
1344C2×C4⋊C4—431no—
1345C2×C4⋊C4—861no—
1346C2×C4⋊C4—861no—
1347C2×C4⋊C4—861no—
1348C2×C4⋊C4—861no—
1349C2×C4⋊C4—861no—
1350C2×C4⋊C4—861no—
1351C2×C22⋊C4—861no—
1352C2×C22⋊C4—861no—
1353C2×C22⋊C4—861no—
1354C2×C22⋊C4—861no—
1355#107—431no—
1356#107C22×D4311yescharacteristic
1357#106—431no—
1358#106—431no—
1359#106—431no—
1360#106—431no—
1361#106—431no—
1362#106—431no—
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8—431no—
1366C4⋊C8C22×D4311yescharacteristic
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103C22×D4311yescharacteristic
1386#103C22×D4311yescharacteristic
1387#103C22×D4311yescharacteristic
1388#103C22×D4311yescharacteristic
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8—431no—
1404C22⋊C8—431no—
1405C22⋊C8—431no—
1406C22⋊C8—431no—
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8C22×D4311yescharacteristic
1410C22⋊C8C22×D4311yescharacteristic
1411#97—431no—
1412#97—431no—
1413C4×C8—431no—
1414C4×C8C22×D4311yescharacteristic
1415C24—431no—
1416C24—861no—
1417#41—22no—
1418#41—41no—
1419#41—41no—
1420#41—41no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—1721no—
1427#41—1721no—
1428#41—1721no—
1429#41—1721no—
1430#41—1724no—
1431#41—1724no—
1432#41—1724no—
1433#41—1721no—
1434#41—1721no—
1435#41—1721no—
1436#41—1721no—
1437#41—1724no—
1438#41—1721no—
1439#41—1724no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—22no—
1443C2×Q8—41no—
1444C2×Q8—41no—
1445C2×Q8—41no—
1446C2×Q8—431no—
1447C2×Q8—431no—
1448C2×Q8—431no—
1449C2×Q8—431no—
1450C2×Q8—861no—
1451C2×Q8—861no—
1452C2×Q8—861no—
1453C2×Q8—861no—
1454C2×Q8—861no—
1455C2×Q8—862no—
1456C2×Q8—862no—
1457C2×Q8—1721no—
1458C2×Q8—1721no—
1459C2×Q8—1721no—
1460C2×Q8—1721no—
1461C2×Q8—1721no—
1462C2×Q8—1721no—
1463C2×Q8—1724no—
1464C2×Q8C23×D4311yescharacteristic
1465C2×Q8C23×D4311yescharacteristic
1466C2×Q8C23×D4311yescharacteristic
1467C2×Q8C23×D4311yescharacteristic
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—431no—
1476C2×D4—431no—
1477C2×D4—431no—
1478C2×D4—431no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—862no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—1721no—
1491C2×D4—1724no—
1492C2×D4D4×D4311yescharacteristic
1493C2×D4C23×D4311yescharacteristic
1494C2×D4C23×D4311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
1503C22×C4—431no—
1504C22×C4—431no—
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—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4—861no—
1519C22×C4—861no—
1520C22×C4—861no—
1521C22×C4—1721no—
1522C22×C4—1721no—
1523C22×C4—1724no—
1524C22×C4C23×D4311yescharacteristic
1525C22×C4C23×D4311yescharacteristic
1526Q16—22no—
1527Q16—22no—
1528Q16—41no—
1529Q16—41no—
1530Q16—862no—
1531Q16—1721no—
1532Q16—1721no—
1533Q16—1721no—
1534Q16—1721no—
1535Q16—1721no—
1536Q16—1721no—
1537Q16—1721no—
1538SD16—22no—
1539SD16—41no—
1540SD16—41no—
1541SD16—41no—
1542SD16—862no—
1543SD16—862no—
1544SD16—862no—
1545SD16—1721no—
1546SD16—1721no—
1547SD16—1721no—
1548D8—41no—
1549D8—862no—
1550M16—41no—
1551M16—41no—
1552M16—1721no—
1553M16—1721no—
1554M16—1721no—
1555M16—1721no—
1556C2×C8—431no—
1557C2×C8—431no—
1558C2×C8—431no—
1559C2×C8—431no—
1560C2×C8—1721no—
1561C2×C8—1721no—
1562C2×C8C23×D4311yescharacteristic
1563C2×C8C23×D4311yescharacteristic
1564C2×C8C23×D4311yescharacteristic
1565C2×C8C23×D4311yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—431no—
1571C4⋊C4—431no—
1572C4⋊C4—431no—
1573C4⋊C4—431no—
1574C4⋊C4—431no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
1578C4⋊C4—431no—
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⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4D4×D4311yescharacteristic
1608C4⋊C4C23×D4311yescharacteristic
1609C4⋊C4C23×D4311yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—431no—
1619C22⋊C4—431no—
1620C22⋊C4—431no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4D4×D4311yescharacteristic
1650C22⋊C4D4×D4311yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—431no—
1654C42—861no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42—861no—
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—431no—
1663C23—431no—
1664C23—431no—
1665C23—861no—
1666C23—3441no—
1667C23—1721no—
1668C23—1721no—
1669C23—1721no—
1670C23—1722no—
1671C23—1722no—
1672C23C2×D4×D4311yescharacteristic
1673C23C2×D4×D4311yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—42no—
1682Q8—81no—
1683Q8—861no—
1684Q8—861no—
1685Q8—861no—
1686Q8—861no—
1687Q8—861no—
1688Q8—861no—
1689Q8—3441no—
1690Q8—3441no—
1691Q8—1721no—
1692Q8—1722no—
1693Q8—1722no—
1694Q8—1722no—
1695Q8#1306337012yes—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—41no—
1701D4—42no—
1702D4—42no—
1703D4—81no—
1704D4—81no—
1705D4—432no—
1706D4—864no—
1707D4—861no—
1708D4—3441no—
1709D4—3441no—
1710D4—3441no—
1711D4—3441no—
1712D4—1721no—
1713D4—1721no—
1714D4—1722no—
1715D4—1721no—
1716D4—1721no—
1717D4—1721no—
1718D4—1721no—
1719D4—1722no—
1720D4—1722no—
1721D4—1722no—
1722D4—1722no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—431no—
1738C2×C4—431no—
1739C2×C4—431no—
1740C2×C4—431no—
1741C2×C4—431no—
1742C2×C4—864no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—861no—
1755C2×C4—861no—
1756C2×C4—3441no—
1757C2×C4—3441no—
1758C2×C4—3441no—
1759C2×C4—3441no—
1760C2×C4—3441no—
1761C2×C4—3441no—
1762C2×C4—3441no—
1763C2×C4—3441no—
1764C2×C4—1721no—
1765C2×C4—1721no—
1766C2×C4—1722no—
1767C2×C4—1722no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4—1721no—
1773C2×C4—1722no—
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C2×D4×D4311yescharacteristic
1778C2×C4C24×D4311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C8—861no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—861no—
1800C22—861no—
1801C22—861no—
1802C22—861no—
1803C22—861no—
1804C22—861no—
1805C22—861no—
1806C22—862no—
1807C22—861no—
1808C22—861no—
1809C22—3442no—
1810C22—3444no—
1811C22—1721no—
1812C22—1721no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—22no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—861no—
1825C4—861no—
1826C4—861no—
1827C4—861no—
1828C4—861no—
1829C4—1721no—
1830C4—1721no—
1831C4—1721no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4H(5,𝔽2)×D4311yescharacteristic
1837C4C2×#1306337011yescharacteristic
1838C2—41no—
1839C2—41no—
1840C2—81no—
1841C2—81no—
1842C2—1721no—
1843C2—1721no—
1844C2—1721no—
1845C2—1722no—
1846C2#1914822311yescharacteristic
1847C2#1914937911yescharacteristic
1848C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3277C2
socleC22×C43C23×D4
hypercenter#3277D43
hypocenterC43#61655
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3277

Complements

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

NH ≅ G/Ntype
1. #19148874C2semidirect
2. #19148274C2semidirect
3. #19146912C2semidirect
4. #19146880C2semidirect
5. #19146841C2semidirect
6. #19146806C2semidirect
7. #19146706C2semidirect
8. #19146650C2semidirect
9. #19146638C2semidirect
10. #19146566C2semidirect
11. #19146235C2semidirect
12. #19146234C2semidirect
13. #19146225C2semidirect
14. #19146160C2semidirect
15. #19146159C2semidirect
16. #19146151C2semidirect
17. #19146113C2semidirect
18. #19145697C2semidirect
19. #19145675C2semidirect
20. #19145504C2semidirect
21. #19145472C2semidirect
22. #19145420C2semidirect
23. #19145417C2semidirect
24. #19144871C2semidirect
25. #19144815C2semidirect
26. #19143909C2semidirect
27. #19143885C2semidirect
28. #19143851C2semidirect
29. #19143833C2semidirect
30. #19143652C2semidirect
31. C43×#3277C2semidirect
34. C2×#13063357C22semidirect
38. C2×#13063345C22semidirect
39. C2×Q16×D43C22semidirect
44. #14583606C22semidirect
45. #14583601C22semidirect
50. Q8×C22⋊D43C22semidirect
62. #14583518C22semidirect
64. #14583507C22semidirect
70. #14583477C22semidirect
71. #14583472C22semidirect
81. #14583294C22semidirect
82. #14583290C22semidirect
83. #14583277C22semidirect
84. #14583266C22semidirect
85. #14583258C22semidirect
86. #14583252C22semidirect
87. #14583250C22semidirect
89. #14583242C22semidirect
91. #14583236C22semidirect
92. #14583230C22semidirect
93. #14583230C22semidirect
94. #14583228C22semidirect
95. #14583228C22semidirect
96. #14583227C22semidirect
97. #14583222C22semidirect
98. #14583216C22semidirect
99. #14583215C22semidirect
100. #14583204C22semidirect
101. #14583202C22semidirect
102. #14583190C22semidirect
103. #14583184C22semidirect
104. #14583157C22semidirect
105. #14583157C22semidirect
108. #14583156C22semidirect
109. #14583155C22semidirect
112. #14583149C22semidirect
113. #14583143C22semidirect
114. #14583138C22semidirect
115. #14583127C22semidirect
116. #14583126C22semidirect
117. #14583125C22semidirect
118. #14583119C22semidirect
119. #14583118C22semidirect
120. #14583112C22semidirect
121. #14583111C22semidirect
122. #14583110C22semidirect
123. #14583109C22semidirect
124. #14583107C22semidirect
125. #14583107C22semidirect
126. #14583103C22semidirect
127. #14583102C22semidirect
130. #14583063C22semidirect
134. #14583061C22semidirect
137. #14583060C22semidirect
138. #14583059C22semidirect
142. #14583056C22semidirect
143. #14583056C22semidirect
144. #14583055C22semidirect
145. #14583055C22semidirect
148. #14583053C22semidirect
149. #14583053C22semidirect
150. #14583053C22semidirect
154. #14583043C22semidirect
157. #14583036C22semidirect
158. #14583036C22semidirect
159. #14583036C22semidirect
160. #14583008C22semidirect
161. #14583006C22semidirect
162. #14583004C22semidirect
163. #14582997C22semidirect
164. C4×#10621873C22semidirect
165. SD16×Dic43C22semidirect
166. #14582984C22semidirect
169. #14582974C22semidirect
170. #14582971C22semidirect
172. #14582968C22semidirect
174. #14582959C22semidirect
175. #14582958C22semidirect
177. #14582906C22semidirect
180. #14582901C22semidirect
182. #14582894C22semidirect
183. C2×#13063249C22semidirect
184. #14582867C22semidirect
185. #14582864C22semidirect
189. C2×#137×C43C22semidirect
191. C43×#548C22semidirect
192. C43×#495C22semidirect
193. C43×#468C22semidirect
194. C43×#468C22semidirect
195. C43×#464C22semidirect
196. C43×#464C22semidirect
197. C43×#451C22semidirect
198. C43×#451C22semidirect
200. C43×#449C22semidirect
201. C4×Q16×C43C22semidirect
202. C43×#436C22semidirect
924. #3277D43semidirect
962. C2×#137C2×D43semidirect
980. #548C2×D43semidirect
1011. #495C2×D43semidirect
1043. #468C2×D43semidirect
1044. #468C2×D43semidirect
1051. #464C2×D43semidirect
1052. #464C2×D43semidirect
1084. #451C2×D43semidirect
1085. #451C2×D43semidirect
1093. #449C2×D43semidirect
1101. C4×Q16C2×D43semidirect
1108. #436C2×D43semidirect
1127. C43#61655semidirect

Maximal subgroups

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

subgroupindex
#191488742
#191482742
#191469122
#191468802
#191468412
#191468062
#191467062
#191466502
#191466382
#191465662
#191462352
#191462342
#191462252
#191461602
#191461592
#191461512
#191461132
#191456972
#191456752
#191455042
#191454722
#191454202
#191454172
#191448712
#191448152
#191439092
#191438852
#191438512
#191438332
#191436522
C43×#32772
#6165543