Finite Group Databasebeta

← #25982329

Subgroups — #25982329

Order 11008.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148878C211yesmaximal, characteristic, complemented
2#19148252C211yesmaximal, characteristic, complemented
3#19146928C211yesmaximal, characteristic, complemented
4#19146855C211yesmaximal, characteristic, complemented
5#19146723C211yesmaximal, characteristic, complemented
6#19146710C211yesmaximal, characteristic, complemented
7#19146667C211yesmaximal, characteristic, complemented
8#19146606C211yesmaximal, characteristic, complemented
9#19146527C211yesmaximal, characteristic, complemented
10#19146482C211yesmaximal, characteristic, complemented
11#19146334C211yesmaximal, characteristic, complemented
12#19146321C211yesmaximal, characteristic, complemented
13#19146256C211yesmaximal, characteristic, complemented
14#19146246C211yesmaximal, characteristic, complemented
15#19146180C211yesmaximal, characteristic, complemented
16#19146173C211yesmaximal, characteristic, complemented
17#19146164C211yesmaximal, characteristic, complemented
18#19145688C211yesmaximal, characteristic, complemented
19#19145662C211yesmaximal, characteristic, complemented
20#19145463C211yesmaximal, characteristic, complemented
21#19145446C211yesmaximal, characteristic, complemented
22#19145436C211yesmaximal, characteristic, complemented
23#19145377C211yesmaximal, characteristic, complemented
24#19144893C211yesmaximal, characteristic, complemented
25#19144822C211yesmaximal, characteristic, complemented
26#19143909C211yesmaximal, characteristic, complemented
27#19143885C211yesmaximal, characteristic, complemented
28#19143852C211yesmaximal, characteristic, complemented
29#19143809C211yesmaximal, characteristic, complemented
30#19143644C211yesmaximal, characteristic, complemented
31C43×#3269C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic
37C2×#13063345C2211yescharacteristic
38C2×#13063345C2211yescharacteristic, complemented
39C2×Q16×D43C2211yescharacteristic, complemented
40#14583652—21no—
41#14583644—21no—
42#14583620C2211yescharacteristic, complemented
43#14583607C2211yescharacteristic, complemented
44#14583604—21no—
45#14583599C2211yescharacteristic, complemented
46#14583594—21no—
47#14583589C2211yescharacteristic, complemented
48#14583571C2211yescharacteristic
49#14583570—21no—
50#14583570C2211yescharacteristic
51#14583568C2211yescharacteristic
52#14583567—21no—
53#14583567C2211yescharacteristic
54#14583564C2211yescharacteristic, complemented
55#14583560C2211yescharacteristic
56#14583559—21no—
57#14583559C2211yescharacteristic
58#14583557—21no—
59#14583557C2211yescharacteristic
60#14583556C2211yescharacteristic, complemented
61#14583556C2211yescharacteristic, complemented
62#14583517—21no—
63#14583514C2211yescharacteristic
64#14583510C2211yescharacteristic
65#14583496—21no—
66#14583485—21no—
67#14583481—21no—
68#14583477C2211yescharacteristic
69#14583472C2211yescharacteristic
70#14583467—21no—
71#14583467C2211yescharacteristic
72#14583465—21no—
73#14583465C2211yescharacteristic
74#14583412—21no—
75#14583412C2211yescharacteristic
76#14583408—21no—
77#14583408C2211yescharacteristic
78#14583406C2211yescharacteristic
79C22⋊Q8×D43C2211yescharacteristic
80#14583375C2211yescharacteristic
81#14583287C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic, complemented
83#14583273C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583253C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic
89#14583239C2211yescharacteristic
90#14583238C2211yescharacteristic
91#14583237C2211yescharacteristic, complemented
92#14583228C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583224C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic
96#14583221C2211yescharacteristic, complemented
97#14583218C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583210C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583193C2211yescharacteristic, complemented
103#14583182C2211yescharacteristic, complemented
104#14583154C2211yescharacteristic, complemented
105#14583151C2211yescharacteristic, complemented
106#14583149C2211yescharacteristic, complemented
107#14583148C2211yescharacteristic, complemented
108#14583148C2211yescharacteristic, complemented
109#14583145C2211yescharacteristic, complemented
110#14583142C2211yescharacteristic, complemented
111#14583138C2211yescharacteristic, complemented
112#14583134C2211yescharacteristic, complemented
113#14583130C2211yescharacteristic, complemented
114#14583130C2211yescharacteristic, complemented
115#14583128C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583123C2211yescharacteristic, complemented
119#14583123C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583118C2211yescharacteristic, complemented
123#14583106C2211yescharacteristic, complemented
124#14583100C2211yescharacteristic, complemented
125#14583097C2211yescharacteristic, complemented
126#14583097C2211yescharacteristic, complemented
127#14583094C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic
129#14583063C2211yescharacteristic
130#14583063C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic
132#14583060C2211yescharacteristic
133#14583060C2211yescharacteristic
134#14583060C2211yescharacteristic
135#14583060C2211yescharacteristic, complemented
136#14583059C2211yescharacteristic
137#14583059C2211yescharacteristic, complemented
138#14583058C2211yescharacteristic
139#14583056C2211yescharacteristic
140#14583055C2211yescharacteristic, complemented
141#14583053C2211yescharacteristic
142#14583053C2211yescharacteristic
143#14583053C2211yescharacteristic, complemented
144#14583053C2211yescharacteristic, complemented
145#14583051C2211yescharacteristic
146#14583048C2211yescharacteristic
147#14583048C2211yescharacteristic
148#14583044C2211yescharacteristic, complemented
149#14583044C2211yescharacteristic, complemented
150#14583043C2211yescharacteristic
151#14583043C2211yescharacteristic
152#14583043C2211yescharacteristic, complemented
153#14583041C2211yescharacteristic
154#14583039C2211yescharacteristic, complemented
155#14583039C2211yescharacteristic, complemented
156#14583036C2211yescharacteristic
157#14583036C2211yescharacteristic, complemented
158#14583036C2211yescharacteristic, complemented
159#14583031C2211yescharacteristic
160#14583007C2211yescharacteristic, complemented
161#14583006C2211yescharacteristic, complemented
162#14583003C2211yescharacteristic, complemented
163Q16×Dic43C2211yescharacteristic, complemented
164C4×#10621885C2211yescharacteristic, complemented
165#14582991C2211yescharacteristic, complemented
166C4×#10621883C2211yescharacteristic, complemented
167#14582976C2211yescharacteristic, complemented
168#14582975C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582970C2211yescharacteristic, complemented
171#14582967C2211yescharacteristic, complemented
172D4×C43⋊C8C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic
175#14582959C2211yescharacteristic
176#14582906C2211yescharacteristic, complemented
177#14582901C2211yescharacteristic, complemented
178#14582899C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582896C2211yescharacteristic
181#14582895C2211yescharacteristic
182#14582894C2211yescharacteristic, complemented
183C2×#13063249C2211yescharacteristic, complemented
184#14582867C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187C2×(C2×D43)⋊C8C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic, complemented
189C2×#135×C43C2211yescharacteristic
190C43×#548C2211yescharacteristic
191C43×#547C2211yescharacteristic, complemented
192C43×#497C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic, complemented
199C43×#451C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#435C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621898—21no—
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621900—21no—
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#13063357—42no—
230#13063354—42no—
231#13063345—42no—
232#13063345—42no—
233C2×Dic172C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238Q16×D43—42no—
239C2×#10621873C2311yescharacteristic
240C2×#10621873C2311yescharacteristic
241C2×#10621883C2311yescharacteristic
242C2×#10621883C2311yescharacteristic
243C2×#10621884C2311yescharacteristic
244C2×#10621884C2311yescharacteristic
245C2×#10621884C2311yescharacteristic
246C2×#10621884C2311yescharacteristic
247C2×#10621882C2311yescharacteristic
248C2×#10621882C2311yescharacteristic
249C2×#10621872C2311yescharacteristic
250C2×#10621872C2311yescharacteristic
251C2×#10621872C2311yescharacteristic
252C22×C43⋊C8C2311yescharacteristic
253C22×C43⋊C8C2311yescharacteristic
254C2×C8×D43C2311yescharacteristic
255#13063324—21no—
256#13063324—21no—
257#13063324C2311yescharacteristic
258#13063322—21no—
259#13063322C2311yescharacteristic
260#13063321—21no—
261#13063321—21no—
262#13063321—21no—
263#13063321—21no—
264#13063321C2311yescharacteristic
265#13063320—21no—
266#13063320—21no—
267#13063320—21no—
268#13063318—21no—
269#13063318—21no—
270#13063318—21no—
271#13063318—21no—
272#13063317C2311yescharacteristic
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063314—21no—
278#13063314C2311yescharacteristic
279#13063312—21no—
280#13063312—21no—
281#13063312C2311yescharacteristic
282#13063311—21no—
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063311—21no—
287#13063311—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310D411yescharacteristic
291#13063308—21no—
292#13063308—21no—
293#13063307—21no—
294#13063307D411yescharacteristic
295#13063306—21no—
296#13063306—21no—
297#13063305—21no—
298#13063305C2311yescharacteristic
299#13063304—21no—
300#13063304—21no—
301#13063304—21no—
302#13063304—21no—
303#13063304C2311yescharacteristic
304#13063304C2311yescharacteristic
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303D411yescharacteristic
310#13063302—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302D411yescharacteristic
314#13063301—21no—
315#13063301C2311yescharacteristic
316#13063301C2311yescharacteristic
317#13063301C2311yescharacteristic
318#13063301C2311yescharacteristic
319#13063301C2311yescharacteristic
320#13063300—21no—
321#13063300—21no—
322#13063300C2311yescharacteristic
323#13063300C2311yescharacteristic
324#13063299—21no—
325#13063299—21no—
326#13063299—21no—
327#13063299C2311yescharacteristic
328#13063299C2311yescharacteristic
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298D411yescharacteristic
338#13063297—21no—
339#13063297—21no—
340#13063297—21no—
341#13063297D411yescharacteristic
342#13063296—21no—
343#13063296—21no—
344#13063296—21no—
345#13063296C2311yescharacteristic
346#13063296C2311yescharacteristic
347#13063296C2311yescharacteristic
348#13063296C2311yescharacteristic
349#13063295—21no—
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063295D411yescharacteristic
354#13063293—21no—
355#13063293—21no—
356#13063293D411yescharacteristic
357Q8×Dic43C2311yescharacteristic
358Q8×Dic43C2311yescharacteristic
359Q8×Dic43C2311yescharacteristic
360C4×Dic86—21no—
361C4×Dic86C2311yescharacteristic
362C4×Dic86C2311yescharacteristic
363#13063290—21no—
364#13063290—21no—
365#13063290C2311yescharacteristic
366C4×D172—21no—
367C4×D172C2311yescharacteristic
368#13063287—21no—
369#13063287—21no—
370#13063287—21no—
371#13063287—21no—
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378C4×C22⋊D43—21no—
379C4×C22⋊D43C2311yescharacteristic
380C4×C22⋊D43C2311yescharacteristic
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385#13063284C2311yescharacteristic
386#13063283—21no—
387#13063283C2311yescharacteristic
388#13063283C2311yescharacteristic
389#13063282—21no—
390#13063282C2311yescharacteristic
391#13063281—21no—
392C2×C4⋊Dic43C2311yescharacteristic
393C4⋊C4×D43—21no—
394C4⋊C4×D43C2311yescharacteristic
395C22⋊C4×D43—21no—
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063245C2311yescharacteristic
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#13063235C2311yescharacteristic
443C4×C43⋊C8C2311yescharacteristic
444C8×Dic43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×#41×C43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449#137×C43—42no—
450#135×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
461C22×C8×C43C2311yescharacteristic
462C4⋊Q8×C43C2311yescharacteristic
463#124×C43—21no—
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466#123×C43—21no—
467C22⋊Q8×C43—21no—
468C22⋊Q8×C43C2311yescharacteristic
469C22⋊Q8×C43C2311yescharacteristic
470C22⋊Q8×C43C2311yescharacteristic
471#121×C43—21no—
472#121×C43—21no—
473#121×C43C2311yescharacteristic
474C4×Q8×C43C2311yescharacteristic
475C4×D4×C43—21no—
476C4×D4×C43C2311yescharacteristic
477C4×D4×C43C2311yescharacteristic
478C2×C4⋊C4×C43—21no—
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
489#97×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—41no—
494#41×C43—41no—
495#41×C43—41no—
496#41×C43—41no—
497#41×C43—41no—
498C2×Q8×C43—21no—
499C2×Q8×C43—22no—
500C2×Q8×C43—41no—
501C2×Q8×C43C2411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×Q8×C43C2411yescharacteristic
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43C2×D411yescharacteristic
510C2×D4×C43C2411yescharacteristic
511C2×D4×C43C2411yescharacteristic
512C22×C4×C43—21no—
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⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43C2×D411yescharacteristic
532C2×C22⋊D43C2×D411yescharacteristic
533C2×C22⋊D43C2×D411yescharacteristic
534C2×C22⋊D43C2×D411yescharacteristic
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43C2×D411yescharacteristic
538#10621902—22no—
539#10621902—22no—
540#10621902—41no—
541#10621902—41no—
542#10621902—41no—
543#10621902—41no—
544#10621902—44no—
545Q8×D43—22no—
546Q8×D43—22no—
547Q8×D43—22no—
548Q8×D43—41no—
549Q8×D43—44no—
550Q8×D43—41no—
551Q8×D43—41no—
552Q8×D43—41no—
553Q8×D43—41no—
554#10621900—22no—
555#10621900—41no—
556#10621900—44no—
557D4×D43—41no—
558D4×D43—41no—
559D4×D43—44no—
560#10621898—22no—
561#10621898—22no—
562#10621898—41no—
563#10621898—41no—
564#10621898—44no—
565#10621898—44no—
566#10621898—41no—
567#10621898—41no—
568#10621898—44no—
569C2×D172—21no—
570C2×D172—21no—
571C2×D172—21no—
572C2×D172—21no—
573C2×D172—21no—
574C2×D172—21no—
575C2×D172—21no—
576C2×D172C2×D411yescharacteristic
577C2×D172C2×D411yescharacteristic
578C2×D172C2411yescharacteristic
579C2×D172C2411yescharacteristic
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—21no—
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—41no—
591C2×C4×D43—41no—
592C2×C4×D43—44no—
593C2×C4×D43C2×D411yescharacteristic
594C2×C4×D43C2×D411yescharacteristic
595C2×C4×D43C2411yescharacteristic
596C2×C4×D43C2411yescharacteristic
597C2×C4×D43C2411yescharacteristic
598C2×Dic86—21no—
599C2×Dic86—21no—
600C2×Dic86—21no—
601C2×Dic86—21no—
602C2×Dic86—21no—
603C2×Dic86C2×D411yescharacteristic
604C2×Dic86C2411yescharacteristic
605C2×Dic86C2411yescharacteristic
606Q16×C43—22no—
607Q16×C43—22no—
608Q16×C43—41no—
609Q16×C43—41no—
610SD16×C43—22no—
611SD16×C43—41no—
612SD16×C43—41no—
613SD16×C43—41no—
614D8×C43—41no—
615M16×C43—41no—
616C2×C8×C43—41no—
617C2×C8×C43C2411yescharacteristic
618C2×C8×C43C2411yescharacteristic
619C2×C8×C43C2411yescharacteristic
620C2×C8×C43C2411yescharacteristic
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43—21no—
626C4⋊C4×C43—21no—
627C4⋊C4×C43C2×D411yescharacteristic
628C4⋊C4×C43C2411yescharacteristic
629C4⋊C4×C43C2411yescharacteristic
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43C2×D411yescharacteristic
638C22⋊C4×C43C2×D411yescharacteristic
639C42×C43—21no—
640C42×C43C2411yescharacteristic
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43C2×D411yescharacteristic
651C22⋊Dic43C2×D411yescharacteristic
652#10621885—22no—
653#10621885—22no—
654#10621885—22no—
655#10621885—41no—
656#10621884—41no—
657#10621884—41no—
658#10621884—41no—
659#10621884—41no—
660#10621883—22no—
661#10621883—41no—
662#10621882—41no—
663#10621882—41no—
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)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4C2×D411yescharacteristic
679(C2×D43)⋊C4C2×D411yescharacteristic
680(C2×D43)⋊C4C2×D411yescharacteristic
681(C2×D43)⋊C4C2×D411yescharacteristic
682(C2×D43)⋊C4C2×D411yescharacteristic
683(C2×D43)⋊C4C2×D411yescharacteristic
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43—21no—
688C4⋊Dic43—21no—
689C4⋊Dic43C2×D411yescharacteristic
690C4⋊Dic43C2411yescharacteristic
691C4⋊Dic43C2411yescharacteristic
692C4⋊Dic43C2411yescharacteristic
693C4⋊Dic43C2411yescharacteristic
694Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43C2411yescharacteristic
722C2×C43⋊C8—41no—
723C2×C43⋊C8—41no—
724C2×C43⋊C8C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726C2×C43⋊C8C2411yescharacteristic
727C2×C43⋊C8C2411yescharacteristic
728Dic172—22no—
729#10621873—41no—
730#10621873—41no—
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—21no—
741C22×D43—41no—
742C22×D43—41no—
743C22×D43—41no—
744C22×D43—42no—
745C22×D43—81no—
746C22×D43—81no—
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749C22×D43C22×D411yescharacteristic
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—42no—
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—81no—
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×C43—81no—
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C22×D411yescharacteristic
786C2×C4×C43C22×D411yescharacteristic
787C2×C4×C43C2511yescharacteristic
788C22⋊D43—41no—
789C22⋊D43—41no—
790C22⋊D43—41no—
791C22⋊D43—41no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—42no—
796C22⋊D43—42no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C22⋊D43—81no—
800C22⋊D43—81no—
801C22⋊D43—81no—
802C22⋊D43—81no—
803C22⋊D43—81no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—21no—
810C2×Dic43—41no—
811C2×Dic43—42no—
812C2×Dic43—81no—
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818D172—21no—
819D172—21no—
820D172—21no—
821D172—21no—
822D172—41no—
823D172—41no—
824D172—42no—
825D172—42no—
826D172—42no—
827D172—81no—
828D172—81no—
829D172—81no—
830D172—81no—
831C4×D43—24no—
832C4×D43—21no—
833C4×D43—21no—
834C4×D43—21no—
835C4×D43—21no—
836C4×D43—21no—
837C4×D43—21no—
838C4×D43—41no—
839C4×D43—41no—
840C4×D43—42no—
841C4×D43—42no—
842C4×D43—42no—
843C4×D43—42no—
844C4×D43—42no—
845C4×D43—42no—
846C4×D43—81no—
847C4×D43—81no—
848C4×D43—81no—
849Dic86—24no—
850Dic86—21no—
851Dic86—21no—
852Dic86—21no—
853Dic86—41no—
854Dic86—42no—
855Dic86—81no—
856Dic86—81no—
857Dic86—81no—
858Dic86H(5,𝔽2)12yes—
859C8×C43—21no—
860C8×C43—21no—
861C8×C43—21no—
862C8×C43—21no—
863C43⋊C8—21no—
864C43⋊C8—21no—
865C43⋊C8—21no—
866C43⋊C8—21no—
867#61615—431nomaximal, Sylow
868C22×C43—21no—
869C22×C43—21no—
870C22×C43—21no—
871C22×C43—21no—
872C22×C43—21no—
873C22×C43—21no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43C23×D411yescharacteristic
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—21no—
887C2×D43—21no—
888C2×D43—21no—
889C2×D43—21no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—82no—
897C2×D43—84no—
898C4×C43—21no—
899C4×C43—21no—
900C4×C43—22no—
901C4×C43—21no—
902C4×C43—21no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908C4×C43C2×H(5,𝔽2)11yescharacteristic
909C4×C43C2×H(5,𝔽2)11yescharacteristic
910Dic43—21no—
911Dic43—21no—
912Dic43—21no—
913Dic43—22no—
914Dic43—21no—
915Dic43—21no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921#3541—431no—
922#3487—431no—
923#3333—431no—
924#3326—431no—
925#3317—431no—
926#3316—431no—
927#3313—431no—
928#3309—431no—
929#3304—431no—
930#3300—431no—
931#3285—431no—
932#3284—431no—
933#3278—431no—
934#3277—431no—
935#3271—431no—
936#3271—431no—
937#3270—431no—
938#3269D4311yescharacteristic, complemented
939#3224—431no—
940#3222—431no—
941#3200—431no—
942#3198—431no—
943#3197—431no—
944#3190—431no—
945#3127—431no—
946#3121—431no—
947#3013—431no—
948#3011—431no—
949#3007—431no—
950#3002—431no—
951#2976—431no—
952C2×C43—41no—
953C2×C43—41no—
954C2×C43—81no—
955C2×C43—81no—
956C2×C43#348411yescharacteristic
957C2×C43#358411yescharacteristic
958C2×C43#358611yescharacteristic
959D43—41no—
960D43—41no—
961D43—41no—
962D43—81no—
963D43—81no—
964C2×2−1+4—431no—
965C22×#41—431no—
966C2×#137—431no—
967C2×#137—431no—
968C2×#137—431no—
969C2×#137C2×D4311yescharacteristic, complemented
970C2×#135—431no—
971C2×#135—431no—
972C2×#135C2×D4311yescharacteristic
973C22×Q16—431no—
974#563—861no—
975#562—861no—
976#556—431no—
977#554—431no—
978#554—861no—
979#553—431no—
980#553—861no—
981#552—431no—
982#550—431no—
983#550—431no—
984#550—431no—
985#550—431no—
986#550—861no—
987#550—861no—
988D4×Q8—431no—
989#548—431no—
990#548—431no—
991#548—431no—
992#548—431no—
993#548—431no—
994#548—861no—
995#548—861no—
996#548C2×D4311yescharacteristic
997#547C2×D4311yescharacteristic, complemented
998#542—431no—
999#542—861no—
1000#541—431no—
1001#539—861no—
1002#538—861no—
1003#538—861no—
1004#537—431no—
1005#536—431no—
1006#535—431no—
1007#535—431no—
1008#535—861no—
1009#535—861no—
1010#525—431no—
1011#525—431no—
1012#525—431no—
1013#525—861no—
1014#525—861no—
1015C2×C22⋊Q8—431no—
1016#519—431no—
1017#497C2×D4311yescharacteristic, complemented
1018#496—431no—
1019#495—431no—
1020#492—431no—
1021#490—431no—
1022#489—431no—
1023#488—431no—
1024#486—431no—
1025#485—431no—
1026#485—431no—
1027#485—431no—
1028#485—431no—
1029#483—431no—
1030#482—431no—
1031#482—431no—
1032#482—431no—
1033#482—431no—
1034#481—431no—
1035#480—431no—
1036#480—431no—
1037#479—431no—
1038#479—431no—
1039#477—431no—
1040#475—431no—
1041#470—431no—
1042#469—431no—
1043#469—431no—
1044#468—431no—
1045#468—431no—
1046#468—431no—
1047#468—431no—
1048#468C2×D4311yescharacteristic, complemented
1049#467—431no—
1050#467C2×D4311yescharacteristic, complemented
1051#466—431no—
1052#465—431no—
1053#465—431no—
1054#465—431no—
1055#465—431no—
1056#465—431no—
1057#464—431no—
1058#464—431no—
1059#464—431no—
1060#464—431no—
1061#464—431no—
1062#463C2×D4311yescharacteristic, complemented
1063#462—431no—
1064#462C2×D4311yescharacteristic, complemented
1065#460—431no—
1066#460—431no—
1067#460—431no—
1068#459—431no—
1069#452—431no—
1070#452—431no—
1071#452—431no—
1072#452—431no—
1073#452—431no—
1074#452—431no—
1075#452—431no—
1076#452—431no—
1077#452—431no—
1078#452—431no—
1079#452—431no—
1080#452C2×D4311yescharacteristic
1081#452C2×D4311yescharacteristic, complemented
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451C2×D4311yescharacteristic, complemented
1089#450—431no—
1090#450—431no—
1091#450—431no—
1092#449—431no—
1093#449—431no—
1094#449—431no—
1095#449—431no—
1096#449—431no—
1097#449—431no—
1098#449C2×D4311yescharacteristic, complemented
1099#448—431no—
1100#448—431no—
1101#448—431no—
1102#448—431no—
1103#448—431no—
1104#447—431no—
1105#441—431no—
1106#441—431no—
1107#441—431no—
1108#440C2×D4311yescharacteristic, complemented
1109C4×Q16—431no—
1110C4×Q16—431no—
1111C4×Q16—431no—
1112C4×SD16—431no—
1113#436—431no—
1114#436—431no—
1115#435—431no—
1116#435—431no—
1117#435—431no—
1118#435C2×D4311yescharacteristic, complemented
1119C8×D4—431no—
1120C8×D4—431no—
1121#433—431no—
1122#433—431no—
1123#419—431no—
1124#417—431no—
1125#417—431no—
1126#417—431no—
1127#416—431no—
1128#416—431no—
1129#416—431no—
1130C2×#103—431no—
1131#408—431no—
1132#408—431no—
1133#407—431no—
1134C2×C22⋊C8—431no—
1135C43#6161511yescharacteristic, complemented, Sylow
11362−1+4—1722no—
11372−1+4—1722no—
1138C2×#41—431no—
1139C2×#41—431no—
1140C2×#41—431no—
1141C2×#41—431no—
1142C2×#41—431no—
1143C2×#41—431no—
1144C2×#41—431no—
1145C2×#41—861no—
1146C2×#41—861no—
1147C2×#41—861no—
1148C2×#41—861no—
1149C2×#41—861no—
1150C2×#41—1722no—
1151C2×#41—1722no—
1152C2×#41C22×D4311yescharacteristic
1153C2×#41C22×D4311yescharacteristic
1154C2×#41C22×D4311yescharacteristic
1155C22×Q8—431no—
1156C22×Q8—431no—
1157C22×Q8—431no—
1158C22×Q8—431no—
1159C22×Q8—861no—
1160C22×Q8C22×D4311yescharacteristic
1161C22×D4—431no—
1162C22×D4—861no—
1163C23×C4—431no—
1164C23×C4—861no—
1165#137—42no—
1166#137—1722no—
1167#137—1722no—
1168#137—1722no—
1169#135—42no—
1170#135—1722no—
1171#135—1722no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—431no—
1175C2×Q16—431no—
1176C2×Q16—431no—
1177C2×Q16—1722no—
1178C2×Q16C22×D4311yescharacteristic
1179C2×Q16C22×D4311yescharacteristic
1180C2×Q16C22×D4311yescharacteristic
1181C2×Q16C22×D4311yescharacteristic
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—431no—
1187C2×SD16—431no—
1188C2×SD16—431no—
1189C2×SD16—431no—
1190C2×SD16C22×D4311yescharacteristic
1191C2×SD16C22×D4311yescharacteristic
1192C2×SD16C22×D4311yescharacteristic
1193C2×SD16C22×D4311yescharacteristic
1194C2×D8—431no—
1195C2×D8—431no—
1196C2×D8C22×D4311yescharacteristic
1197C2×M16—431no—
1198C2×M16—431no—
1199C2×M16—431no—
1200C2×M16C22×D4311yescharacteristic
1201C22×C8—431no—
1202C22×C8—431no—
1203C22×C8—431no—
1204C22×C8C22×D4311yescharacteristic
1205C4⋊Q8—431no—
1206C4⋊Q8—861no—
1207C4⋊Q8—861no—
1208C4⋊Q8C22×D4311yescharacteristic
1209#127—431no—
1210#127—431no—
1211#127—861no—
1212#127—861no—
1213#127—861no—
1214#127—861no—
1215#127—861no—
1216#126—861no—
1217#126—861no—
1218#126—861no—
1219#126—861no—
1220#126—861no—
1221#126—861no—
1222#126—861no—
1223#125—431no—
1224#125—861no—
1225#125—861no—
1226#125—861no—
1227#125—861no—
1228#124—21no—
1229#124—431no—
1230#124—431no—
1231#124—861no—
1232#124—861no—
1233#124—861no—
1234#124—861no—
1235#124—861no—
1236#124—861no—
1237#124—861no—
1238#124—861no—
1239#124—861no—
1240#124C22×D4311yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—431no—
1244#123—431no—
1245#123—861no—
1246#123—861no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252C22⋊Q8—21no—
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—431no—
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⋊Q8C22×D4311yescharacteristic
1277C22⋊Q8C22×D4311yescharacteristic
1278C22⋊Q8C22×D4311yescharacteristic
1279#121—21no—
1280#121—21no—
1281#121—431no—
1282#121—431no—
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—431no—
1290#121—431no—
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#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121—861no—
1310#121C22×D4311yescharacteristic
1311#120—431no—
1312#120—431no—
1313#120—861no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319C4×Q8—431no—
1320C4×Q8—431no—
1321C4×Q8—431no—
1322C4×Q8—431no—
1323C4×Q8—431no—
1324C4×Q8—431no—
1325C4×Q8—861no—
1326C4×Q8—861no—
1327C4×Q8—861no—
1328C4×Q8C22×D4311yescharacteristic
1329C4×D4—21no—
1330C4×D4—431no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4C22×D4311yescharacteristic
1350C4×D4C22×D4311yescharacteristic
1351#117—431no—
1352#117—431no—
1353#117—431no—
1354#117—431no—
1355#117—861no—
1356#117—861no—
1357#117—861no—
1358C2×C4⋊C4—21no—
1359C2×C4⋊C4—431no—
1360C2×C4⋊C4—431no—
1361C2×C4⋊C4—861no—
1362C2×C22⋊C4—861no—
1363#107—431no—
1364#107—431no—
1365#107—431no—
1366#107C22×D4311yescharacteristic
1367#106—431no—
1368#106—431no—
1369#106—431no—
1370#106—431no—
1371C4⋊C8—431no—
1372C4⋊C8—431no—
1373C4⋊C8—431no—
1374C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1386#103—431no—
1387#103—431no—
1388#103—431no—
1389#103C22×D4311yescharacteristic
1390#103C22×D4311yescharacteristic
1391#103C22×D4311yescharacteristic
1392#103C22×D4311yescharacteristic
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102—431no—
1398#102—431no—
1399#102—431no—
1400#102—431no—
1401#102—431no—
1402#102—431no—
1403#102—431no—
1404#102—431no—
1405#102C22×D4311yescharacteristic
1406#102C22×D4311yescharacteristic
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8—431no—
1411C22⋊C8—431no—
1412C22⋊C8—431no—
1413C22⋊C8—431no—
1414C22⋊C8—431no—
1415C22⋊C8—431no—
1416C22⋊C8—431no—
1417C22⋊C8C22×D4311yescharacteristic
1418C22⋊C8C22×D4311yescharacteristic
1419#97—431no—
1420#97C22×D4311yescharacteristic
1421C4×C8—431no—
1422C4×C8—431no—
1423C24—431no—
1424C24—861no—
1425#41—22no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—862no—
1432#41—862no—
1433#41—862no—
1434#41—862no—
1435#41—862no—
1436#41—1721no—
1437#41—1721no—
1438#41—1721no—
1439#41—1721no—
1440#41—1724no—
1441#41—1724no—
1442#41—1724no—
1443#41—1721no—
1444#41—1721no—
1445#41—1721no—
1446#41—1721no—
1447#41—1721no—
1448#41—1724no—
1449#41—1724no—
1450C2×Q8—21no—
1451C2×Q8—22no—
1452C2×Q8—41no—
1453C2×Q8—431no—
1454C2×Q8—431no—
1455C2×Q8—431no—
1456C2×Q8—861no—
1457C2×Q8—861no—
1458C2×Q8—861no—
1459C2×Q8—861no—
1460C2×Q8—861no—
1461C2×Q8—862no—
1462C2×Q8—862no—
1463C2×Q8—862no—
1464C2×Q8—1721no—
1465C2×Q8—1721no—
1466C2×Q8—1721no—
1467C2×Q8—1721no—
1468C2×Q8—1721no—
1469C2×Q8—1724no—
1470C2×Q8C23×D4311yescharacteristic
1471C2×Q8C23×D4311yescharacteristic
1472C2×Q8C23×D4311yescharacteristic
1473C2×Q8C23×D4311yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—431no—
1479C2×D4—431no—
1480C2×D4—431no—
1481C2×D4—431no—
1482C2×D4—431no—
1483C2×D4—431no—
1484C2×D4—431no—
1485C2×D4—431no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4—861no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—1721no—
1506C2×D4—1721no—
1507C2×D4—1724no—
1508C2×D4D4×D4311yescharacteristic
1509C2×D4C23×D4311yescharacteristic
1510C2×D4C23×D4311yescharacteristic
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—431no—
1517C22×C4—431no—
1518C22×C4—431no—
1519C22×C4—431no—
1520C22×C4—431no—
1521C22×C4—431no—
1522C22×C4—861no—
1523C22×C4—861no—
1524C22×C4—861no—
1525C22×C4—861no—
1526C22×C4—861no—
1527C22×C4—861no—
1528C22×C4—861no—
1529C22×C4—861no—
1530C22×C4—861no—
1531C22×C4—861no—
1532C22×C4—861no—
1533C22×C4—861no—
1534C22×C4—1721no—
1535C22×C4—1721no—
1536C22×C4—1724no—
1537C22×C4C23×D4311yescharacteristic
1538C22×C4C23×D4311yescharacteristic
1539Q16—22no—
1540Q16—22no—
1541Q16—41no—
1542Q16—41no—
1543Q16—862no—
1544Q16—862no—
1545Q16—862no—
1546Q16—862no—
1547Q16—1721no—
1548SD16—22no—
1549SD16—41no—
1550SD16—41no—
1551SD16—41no—
1552SD16—862no—
1553SD16—1721no—
1554SD16—1721no—
1555SD16—1721no—
1556SD16—1721no—
1557SD16—1721no—
1558SD16—1721no—
1559SD16—1721no—
1560D8—41no—
1561D8—1721no—
1562D8—1721no—
1563M16—41no—
1564M16—1721no—
1565M16—1721no—
1566M16—1721no—
1567C2×C8—41no—
1568C2×C8—431no—
1569C2×C8—431no—
1570C2×C8—431no—
1571C2×C8—431no—
1572C2×C8—1721no—
1573C2×C8—1721no—
1574C2×C8—1721no—
1575C2×C8C23×D4311yescharacteristic
1576C2×C8C23×D4311yescharacteristic
1577C2×C8C23×D4311yescharacteristic
1578C2×C8C23×D4311yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—431no—
1586C4⋊C4—431no—
1587C4⋊C4—431no—
1588C4⋊C4—431no—
1589C4⋊C4—431no—
1590C4⋊C4—431no—
1591C4⋊C4—431no—
1592C4⋊C4—431no—
1593C4⋊C4—431no—
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⋊C4—861no—
1608C4⋊C4—861no—
1609C4⋊C4—861no—
1610C4⋊C4—861no—
1611C4⋊C4—861no—
1612C4⋊C4—861no—
1613C4⋊C4D4×D4311yescharacteristic
1614C4⋊C4C23×D4311yescharacteristic
1615C4⋊C4C23×D4311yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—431no—
1628C22⋊C4—431no—
1629C22⋊C4—431no—
1630C22⋊C4—431no—
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⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4D4×D4311yescharacteristic
1655C22⋊C4D4×D4311yescharacteristic
1656C42—21no—
1657C42—431no—
1658C42—861no—
1659C42—861no—
1660C42—861no—
1661C42—861no—
1662C42—861no—
1663C42—861no—
1664C42—861no—
1665C42—861no—
1666C42—861no—
1667C42C23×D4311yescharacteristic
1668C23—21no—
1669C23—21no—
1670C23—431no—
1671C23—431no—
1672C23—431no—
1673C23—861no—
1674C23—861no—
1675C23—3441no—
1676C23—3441no—
1677C23—1721no—
1678C23—1721no—
1679C23—1721no—
1680C23—1722no—
1681C23C2×D4×D4311yescharacteristic
1682C23C2×D4×D4311yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—42no—
1691Q8—432no—
1692Q8—864no—
1693Q8—861no—
1694Q8—861no—
1695Q8—861no—
1696Q8—3441no—
1697Q8—3441no—
1698Q8—3441no—
1699Q8—1721no—
1700Q8—1722no—
1701Q8#1306337012yes—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—41no—
1707D4—42no—
1708D4—81no—
1709D4—81no—
1710D4—81no—
1711D4—861no—
1712D4—861no—
1713D4—861no—
1714D4—861no—
1715D4—3441no—
1716D4—3441no—
1717D4—3441no—
1718D4—3441no—
1719D4—3441no—
1720D4—3441no—
1721D4—3441no—
1722D4—3441no—
1723D4—3441no—
1724D4—3441no—
1725D4—3441no—
1726D4—1721no—
1727D4—1721no—
1728D4—1722no—
1729D4—1722no—
1730D4—1722no—
1731D4—1721no—
1732D4—1721no—
1733D4—1721no—
1734D4—1721no—
1735D4—1722no—
1736D4—1722no—
1737D4—1722no—
1738D4—1722no—
1739D4—1722no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—431no—
1756C2×C4—431no—
1757C2×C4—431no—
1758C2×C4—431no—
1759C2×C4—431no—
1760C2×C4—864no—
1761C2×C4—861no—
1762C2×C4—861no—
1763C2×C4—861no—
1764C2×C4—861no—
1765C2×C4—861no—
1766C2×C4—861no—
1767C2×C4—861no—
1768C2×C4—861no—
1769C2×C4—861no—
1770C2×C4—861no—
1771C2×C4—861no—
1772C2×C4—861no—
1773C2×C4—3441no—
1774C2×C4—3441no—
1775C2×C4—3441no—
1776C2×C4—3441no—
1777C2×C4—1721no—
1778C2×C4—1721no—
1779C2×C4—1722no—
1780C2×C4—1722no—
1781C2×C4—1722no—
1782C2×C4—1722no—
1783C2×C4—1722no—
1784C2×C4—1722no—
1785C2×C4—1721no—
1786C2×C4—1722no—
1787C2×C4C2×D4×D4311yescharacteristic
1788C2×C4C2×D4×D4311yescharacteristic
1789C2×C4C2×D4×D4311yescharacteristic
1790C2×C4C2×D4×D4311yescharacteristic
1791C2×C4C24×D4311yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—861no—
1797C8—861no—
1798C8—861no—
1799C8—861no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—861no—
1813C22—861no—
1814C22—861no—
1815C22—861no—
1816C22—861no—
1817C22—861no—
1818C22—861no—
1819C22—861no—
1820C22—861no—
1821C22—3442no—
1822C22—3444no—
1823C22—1721no—
1824C22—1721no—
1825C22—1721no—
1826C22—1721no—
1827C22—1721no—
1828C22—1721no—
1829C22C22×D4×D4311yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—861no—
1841C4—861no—
1842C4—861no—
1843C4—861no—
1844C4—861no—
1845C4—862no—
1846C4—1721no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4H(5,𝔽2)×D4311yescharacteristic
1852C4C2×#1306337011yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—81no—
1856C2—81no—
1857C2—3441no—
1858C2—3441no—
1859C2—1721no—
1860C2—1721no—
1861C2—1721no—
1862C2#1914822311yescharacteristic
1863C2#1914936811yescharacteristic
1864C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3269C2
socleC22×C43C23×D4
hypercenter#3269D43
hypocenterC43#61615
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #19148878C2semidirect
2. #19148252C2semidirect
3. #19146928C2semidirect
4. #19146855C2semidirect
5. #19146723C2semidirect
6. #19146710C2semidirect
7. #19146667C2semidirect
8. #19146606C2semidirect
9. #19146527C2semidirect
10. #19146482C2semidirect
11. #19146334C2semidirect
12. #19146321C2semidirect
13. #19146256C2semidirect
14. #19146246C2semidirect
15. #19146180C2semidirect
16. #19146173C2semidirect
17. #19146164C2semidirect
18. #19145688C2semidirect
19. #19145662C2semidirect
20. #19145463C2semidirect
21. #19145446C2semidirect
22. #19145436C2semidirect
23. #19145377C2semidirect
24. #19144893C2semidirect
25. #19144822C2semidirect
26. #19143909C2semidirect
27. #19143885C2semidirect
28. #19143852C2semidirect
29. #19143809C2semidirect
30. #19143644C2semidirect
31. C43×#3269C2semidirect
35. C2×#13063357C22semidirect
38. C2×#13063345C22semidirect
39. C2×Q16×D43C22semidirect
42. #14583620C22semidirect
43. #14583607C22semidirect
45. #14583599C22semidirect
47. #14583589C22semidirect
54. #14583564C22semidirect
60. #14583556C22semidirect
61. #14583556C22semidirect
81. #14583287C22semidirect
82. #14583280C22semidirect
83. #14583273C22semidirect
84. #14583264C22semidirect
85. #14583260C22semidirect
86. #14583253C22semidirect
87. #14583244C22semidirect
91. #14583237C22semidirect
92. #14583228C22semidirect
93. #14583226C22semidirect
94. #14583224C22semidirect
96. #14583221C22semidirect
97. #14583218C22semidirect
98. #14583214C22semidirect
99. #14583210C22semidirect
100. #14583207C22semidirect
101. #14583206C22semidirect
102. #14583193C22semidirect
103. #14583182C22semidirect
104. #14583154C22semidirect
105. #14583151C22semidirect
106. #14583149C22semidirect
107. #14583148C22semidirect
108. #14583148C22semidirect
109. #14583145C22semidirect
110. #14583142C22semidirect
111. #14583138C22semidirect
112. #14583134C22semidirect
113. #14583130C22semidirect
114. #14583130C22semidirect
115. #14583128C22semidirect
116. #14583126C22semidirect
117. #14583125C22semidirect
118. #14583123C22semidirect
119. #14583123C22semidirect
120. #14583120C22semidirect
121. #14583119C22semidirect
122. #14583118C22semidirect
123. #14583106C22semidirect
124. #14583100C22semidirect
125. #14583097C22semidirect
126. #14583097C22semidirect
127. #14583094C22semidirect
130. #14583063C22semidirect
135. #14583060C22semidirect
137. #14583059C22semidirect
140. #14583055C22semidirect
143. #14583053C22semidirect
144. #14583053C22semidirect
148. #14583044C22semidirect
149. #14583044C22semidirect
152. #14583043C22semidirect
154. #14583039C22semidirect
155. #14583039C22semidirect
157. #14583036C22semidirect
158. #14583036C22semidirect
160. #14583007C22semidirect
161. #14583006C22semidirect
162. #14583003C22semidirect
163. Q16×Dic43C22semidirect
164. C4×#10621885C22semidirect
165. #14582991C22semidirect
166. C4×#10621883C22semidirect
167. #14582976C22semidirect
168. #14582975C22semidirect
169. #14582972C22semidirect
170. #14582970C22semidirect
171. #14582967C22semidirect
172. D4×C43⋊C8C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
176. #14582906C22semidirect
177. #14582901C22semidirect
182. #14582894C22semidirect
183. C2×#13063249C22semidirect
188. C2×#137×C43C22semidirect
191. C43×#547C22semidirect
192. C43×#497C22semidirect
193. C43×#468C22semidirect
194. C43×#467C22semidirect
195. C43×#463C22semidirect
196. C43×#462C22semidirect
198. C43×#452C22semidirect
199. C43×#451C22semidirect
200. C43×#449C22semidirect
201. C43×#440C22semidirect
202. C43×#435C22semidirect
938. #3269D43semidirect
969. C2×#137C2×D43semidirect
997. #547C2×D43semidirect
1017. #497C2×D43semidirect
1048. #468C2×D43semidirect
1050. #467C2×D43semidirect
1062. #463C2×D43semidirect
1064. #462C2×D43semidirect
1081. #452C2×D43semidirect
1088. #451C2×D43semidirect
1098. #449C2×D43semidirect
1108. #440C2×D43semidirect
1118. #435C2×D43semidirect
1135. C43#61615semidirect

Maximal subgroups

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

subgroupindex
#191488782
#191482522
#191469282
#191468552
#191467232
#191467102
#191466672
#191466062
#191465272
#191464822
#191463342
#191463212
#191462562
#191462462
#191461802
#191461732
#191461642
#191456882
#191456622
#191454632
#191454462
#191454362
#191453772
#191448932
#191448222
#191439092
#191438852
#191438522
#191438092
#191436442
C43×#32692
#6161543