Finite Group Databasebeta

← #25990370

Subgroups — #25990370

Order 11008.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148962C211yesmaximal, characteristic, complemented
2#19148693C211yesmaximal, characteristic, complemented
3#19147656C211yesmaximal, characteristic, complemented
4#19147641C211yesmaximal, characteristic, complemented
5#19147441C211yesmaximal, characteristic, complemented
6#19147325C211yesmaximal, characteristic, complemented
7#19146757C211yesmaximal, characteristic, complemented
8#19146740C211yesmaximal, characteristic, complemented
9#19146723C211yesmaximal, characteristic, complemented
10#19146566C211yesmaximal, characteristic, complemented
11#19146538C211yesmaximal, characteristic, complemented
12#19146430C211yesmaximal, characteristic, complemented
13#19146351C211yesmaximal, characteristic, complemented
14#19146305C211yesmaximal, characteristic, complemented
15#19146180C211yesmaximal, characteristic, complemented
16#19146143C211yesmaximal, characteristic, complemented
17#19146084C211yesmaximal, characteristic, complemented
18#19146052C211yesmaximal, characteristic, complemented
19#19146002C211yesmaximal, characteristic, complemented
20#19145914C211yesmaximal, characteristic, complemented
21#19145685C211yesmaximal, characteristic, complemented
22#19145640C211yesmaximal, characteristic, complemented
23#19145630C211yesmaximal, characteristic, complemented
24#19144865C211yesmaximal, characteristic, complemented
25#19144822C211yesmaximal, characteristic, complemented
26#19144739C211yesmaximal, characteristic, complemented
27#19144138C211yesmaximal, characteristic, complemented
28#19144114C211yesmaximal, characteristic, complemented
29#19144046C211yesmaximal, characteristic, complemented
30#19143735C211yesmaximal, characteristic, complemented
31C43×#3268C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic, complemented
33C2×#13063345C2211yescharacteristic, complemented
34C2×#13063345C2211yescharacteristic, complemented
35C2×SD16×D43C2211yescharacteristic
36#14583638—21no—
37#14583637—21no—
38#14583635—21no—
39#14583635C2211yescharacteristic, complemented
40#14583625C2211yescharacteristic, complemented
41#14583618C2211yescharacteristic
42#14583613—21no—
43#14583613C2211yescharacteristic, complemented
44#14583601—21no—
45#14583601C2211yescharacteristic
46#14583594—21no—
47#14583589—21no—
48#14583589C2211yescharacteristic, complemented
49#14583570C2211yescharacteristic
50#14583570C2211yescharacteristic
51#14583568C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583556C2211yescharacteristic, complemented
54#14583551C2211yescharacteristic
55#14583546C2211yescharacteristic
56#14583539—21no—
57D4×C22⋊D43C2211yescharacteristic
58#14583522C2211yescharacteristic
59#14583516—21no—
60#14583516C2211yescharacteristic, complemented
61#14583514C2211yescharacteristic
62#14583503—21no—
63#14583503C2211yescharacteristic, complemented
64#14583487—21no—
65#14583485—21no—
66#14583478—21no—
67#14583467C2211yescharacteristic
68#14583466C2211yescharacteristic
69#14583464—21no—
70#14583445C2211yescharacteristic
71#14583444C2211yescharacteristic
72#14583430—21no—
73#14583430C2211yescharacteristic, complemented
74#14583429—21no—
75#14583429C2211yescharacteristic
76#14583382C2211yescharacteristic, complemented
77#14583375C2211yescharacteristic, complemented
78#41×Dic43C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic
81#14583287C2211yescharacteristic, complemented
82#14583282C2211yescharacteristic
83#14583275C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583264C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic
87#14583257C2211yescharacteristic
88#14583253C2211yescharacteristic
89#14583244C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583227C2211yescharacteristic, complemented
92#14583224C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic
94#14583220C2211yescharacteristic
95#14583218C2211yescharacteristic
96#14583207C2211yescharacteristic, complemented
97#14583202C2211yescharacteristic, complemented
98#14583201C2211yescharacteristic
99#14583199C2211yescharacteristic, complemented
100#14583193C2211yescharacteristic, complemented
101#14583192C2211yescharacteristic, complemented
102#14583187C2211yescharacteristic, complemented
103#14583182C2211yescharacteristic, complemented
104#14583178C2211yescharacteristic, complemented
105#14583177C2211yescharacteristic, complemented
106#14583149C2211yescharacteristic
107#14583145C2211yescharacteristic
108#14583144C2211yescharacteristic, complemented
109#14583138C2211yescharacteristic, complemented
110#14583133C2211yescharacteristic
111#14583133C2211yescharacteristic, complemented
112#14583132C2211yescharacteristic
113#14583128C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic, complemented
115#14583126C2211yescharacteristic
116#14583124C2211yescharacteristic, complemented
117#14583123C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic
120#14583119C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583118C2211yescharacteristic
123#14583116C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic, complemented
125#14583113C2211yescharacteristic, complemented
126#14583113C2211yescharacteristic, complemented
127#14583112C2211yescharacteristic
128#14583112C2211yescharacteristic
129#14583112C2211yescharacteristic, complemented
130#14583112C2211yescharacteristic, complemented
131#14583107C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic, complemented
133#14583100C2211yescharacteristic, complemented
134#14583099C2211yescharacteristic, complemented
135#14583098C2211yescharacteristic
136#14583097C2211yescharacteristic
137#14583097C2211yescharacteristic
138#14583097C2211yescharacteristic, complemented
139#14583096C2211yescharacteristic, complemented
140#14583092C2211yescharacteristic
141#14583092C2211yescharacteristic
142#14583092C2211yescharacteristic
143#14583092C2211yescharacteristic, complemented
144#14583063C2211yescharacteristic, complemented
145#14583063C2211yescharacteristic, complemented
146#14583061C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583050C2211yescharacteristic
149#14583044C2211yescharacteristic
150#14583044C2211yescharacteristic, complemented
151#14583043C2211yescharacteristic, complemented
152#14583043C2211yescharacteristic, complemented
153#14583042C2211yescharacteristic, complemented
154#14583042C2211yescharacteristic, complemented
155#14583036C2211yescharacteristic
156#14583031C2211yescharacteristic
157#14583031C2211yescharacteristic
158#14583027C2211yescharacteristic, complemented
159#14583026C2211yescharacteristic, complemented
160#14583011C2211yescharacteristic
161#14583008C2211yescharacteristic, complemented
162#14583008C2211yescharacteristic, complemented
163#14583007C2211yescharacteristic, complemented
164#14583006C2211yescharacteristic, complemented
165#14583002C2211yescharacteristic, complemented
166#14583000C2211yescharacteristic
167C4×#10621885C2211yescharacteristic, complemented
168SD16×Dic43C2211yescharacteristic, complemented
169C4×#10621883C2211yescharacteristic, complemented
170#14582984C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582967C2211yescharacteristic
174D4×C43⋊C8C2211yescharacteristic, complemented
175(C22⋊D43)⋊C8C2211yescharacteristic, complemented
176#14582961C2211yescharacteristic, complemented
177#14582957C2211yescharacteristic, complemented
178#14582953C2211yescharacteristic, complemented
179#14582927C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181C2×Dic43⋊C8C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582901C2211yescharacteristic, complemented
184#14582896C2211yescharacteristic, complemented
185#14582895C2211yescharacteristic, complemented
186#14582894C2211yescharacteristic, complemented
187C2×#13063246C2211yescharacteristic
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×#135×C43C2211yescharacteristic, complemented
190C43×#550C2211yescharacteristic, complemented
191C43×#546C2211yescharacteristic
192C43×#496C2211yescharacteristic
193C43×#468C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic
195C43×#464C2211yescharacteristic
196C43×#459C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic
199C43×#449C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C43×#435C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×Q8×D43C2311yescharacteristic
209C22×C22⋊D43—21no—
210C2×D4×D43C2311yescharacteristic
211#13063357—42no—
212#13063345—42no—
213#13063345—42no—
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225SD16×D43—42no—
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C22×C43⋊C8C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063321—21no—
240#13063321—21no—
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063320—21no—
245#13063320D411yescharacteristic
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318D411yescharacteristic
254#13063317—21no—
255#13063317C2311yescharacteristic
256#13063316—21no—
257#13063316C2311yescharacteristic
258#13063315—21no—
259#13063315D411yescharacteristic
260#13063314C2311yescharacteristic
261#13063312—21no—
262#13063312—21no—
263#13063312—21no—
264#13063312—21no—
265#13063312—21no—
266#13063312C2311yescharacteristic
267#13063312C2311yescharacteristic
268#13063312C2311yescharacteristic
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311D411yescharacteristic
275#13063310—21no—
276#13063309—21no—
277#13063309D411yescharacteristic
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063306—21no—
286#13063306—21no—
287#13063306—21no—
288#13063306—21no—
289#13063306D411yescharacteristic
290#13063305—21no—
291#13063305C2311yescharacteristic
292#13063304—21no—
293#13063304—21no—
294#13063304—21no—
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063302—21no—
298#13063302—21no—
299#13063302D411yescharacteristic
300#13063299—21no—
301#13063299—21no—
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297D411yescharacteristic
320#13063296—21no—
321#13063296—21no—
322#13063296—21no—
323#13063296—21no—
324#13063296—21no—
325#13063296—21no—
326#13063296C2311yescharacteristic
327#13063296C2311yescharacteristic
328#13063296C2311yescharacteristic
329#13063295—21no—
330#13063295—21no—
331#13063294—21no—
332#13063294—21no—
333#13063294—21no—
334#13063293—21no—
335#13063293—21no—
336Q8×Dic43C2311yescharacteristic
337Q8×Dic43C2311yescharacteristic
338Q8×Dic43C2311yescharacteristic
339Q8×Dic43C2311yescharacteristic
340C4×Dic86—21no—
341C4×Dic86—21no—
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345#13063290—21no—
346#13063290C2311yescharacteristic
347D4×Dic43—21no—
348D4×Dic43—21no—
349D4×Dic43—21no—
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43—21no—
353D4×Dic43—21no—
354D4×Dic43C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357D4×Dic43C2311yescharacteristic
358D4×Dic43C2311yescharacteristic
359#13063287—21no—
360#13063287C2311yescharacteristic
361#13063287C2311yescharacteristic
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43C2311yescharacteristic
368C4×C22⋊D43C2311yescharacteristic
369(C22⋊D43)⋊C4—21no—
370#13063284—21no—
371#13063284—21no—
372#13063284C2311yescharacteristic
373#13063284C2311yescharacteristic
374#13063283—21no—
375#13063283C2311yescharacteristic
376#13063282—21no—
377#13063282C2311yescharacteristic
378#13063281—21no—
379#13063281—21no—
380#13063281—21no—
381#13063281—21no—
382C2×C4⋊Dic43—21no—
383C2×C4⋊Dic43C2311yescharacteristic
384C4⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C2×C4×Dic43—21no—
387C2×C4×Dic43C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431C22⋊(C43⋊C8)C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437C4×C43⋊C8C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C2×#41×C43C2311yescharacteristic
440C2×#41×C43C2311yescharacteristic
441C2×#41×C43C2311yescharacteristic
442C22×D4×C43C2311yescharacteristic
443AGL(1,ℤ/8)×C43—42no—
444#135×C43—42no—
445C2×Q16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×D8×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456#127×C43—21no—
457#127×C43C2311yescharacteristic
458#124×C43C2311yescharacteristic
459#123×C43—21no—
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43—21no—
462#121×C43—21no—
463#121×C43—21no—
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466#121×C43C2311yescharacteristic
467#120×C43—21no—
468C4×Q8×C43C2311yescharacteristic
469C4×D4×C43—21no—
470C4×D4×C43C2311yescharacteristic
471C4×D4×C43C2311yescharacteristic
472C2×C22⋊C4×C43—21no—
473#107×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C24×C43—21no—
485C23×D43—21no—
486#41×C43—22no—
487#41×C43—22no—
488#41×C43—41no—
489#41×C43—41no—
490#41×C43—41no—
491#41×C43—41no—
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—41no—
504C2×D4×C43—41no—
505C2×D4×C43C2×D411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43C2411yescharacteristic
515C22×C4×C43C2411yescharacteristic
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—82no—
531C2×C22⋊D43C2×D411yescharacteristic
532C2×C22⋊D43C2×D411yescharacteristic
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43C2×D411yescharacteristic
540C22×Dic43C2×D411yescharacteristic
541#10621902—41no—
542#10621902—41no—
543Q8×D43—22no—
544Q8×D43—41no—
545#10621900—82no—
546D4×D43—41no—
547D4×D43—41no—
548#10621898—41no—
549#10621898—41no—
550#10621898—41no—
551#10621898—41no—
552#10621898—82no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172C2411yescharacteristic
557C2×D172C2411yescharacteristic
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86C2×D411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571Q16×C43—22no—
572SD16×C43—22no—
573SD16×C43—22no—
574SD16×C43—41no—
575SD16×C43—41no—
576D8×C43—41no—
577D8×C43—41no—
578D8×C43—41no—
579D8×C43—41no—
580M16×C43—41no—
581C2×C8×C43—41no—
582C2×C8×C43C2411yescharacteristic
583C2×C8×C43C2411yescharacteristic
584C2×C8×C43C2411yescharacteristic
585C2×C8×C43C2411yescharacteristic
586C4⋊C4×C43—21no—
587C4⋊C4×C43—21no—
588C4⋊C4×C43C2×D411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C42×C43—21no—
601C42×C43C2411yescharacteristic
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616C22⋊Dic43—21no—
617C22⋊Dic43—21no—
618C22⋊Dic43—21no—
619C22⋊Dic43—21no—
620C22⋊Dic43—21no—
621C22⋊Dic43C2×D411yescharacteristic
622C22⋊Dic43C2×D411yescharacteristic
623C22⋊Dic43C2×D411yescharacteristic
624C22⋊Dic43C2×D411yescharacteristic
625#10621885—22no—
626#10621885—41no—
627#10621884—22no—
628#10621884—22no—
629#10621883—41no—
630#10621883—41no—
631#10621883—41no—
632#10621883—41no—
633#10621882—41no—
634#10621882—41no—
635#10621882—41no—
636#10621882—41no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43C2×D411yescharacteristic
657C4⋊Dic43C2×D411yescharacteristic
658C4⋊Dic43C2×D411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
677Dic43⋊C4C2×D411yescharacteristic
678Dic43⋊C4C2×D411yescharacteristic
679Dic43⋊C4C2×D411yescharacteristic
680Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2×D411yescharacteristic
692C4×Dic43C2411yescharacteristic
693C4×Dic43C2411yescharacteristic
694C4×Dic43C2411yescharacteristic
695C2×C43⋊C8—41no—
696C2×C43⋊C8—41no—
697C2×C43⋊C8C2411yescharacteristic
698C2×C43⋊C8C2411yescharacteristic
699C2×C43⋊C8C2411yescharacteristic
700C2×C43⋊C8C2411yescharacteristic
701Dic172—41no—
702#10621873—41no—
703#10621873—41no—
704#10621872—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—81no—
711C23×C43—81no—
712C23×C43—81no—
713C23×C43C22×D411yescharacteristic
714C23×C43C22×D411yescharacteristic
715C22×D43—21no—
716C22×D43—21no—
717C22×D43—81no—
718C22×D43—81no—
719C22×D43—81no—
720C22×D43C22×D411yescharacteristic
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—21no—
724Q8×C43H(5,𝔽2)12yes—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—21no—
732D4×C43—21no—
733D4×C43—41no—
734D4×C43—42no—
735D4×C43—42no—
736D4×C43—81no—
737D4×C43—81no—
738D4×C43—81no—
739D4×C43—81no—
740D4×C43—81no—
741D4×C43—81no—
742D4×C43—81no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—42no—
752C2×C4×C43—42no—
753C2×C4×C43—81no—
754C2×C4×C43—81no—
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C2511yescharacteristic
760C22⋊D43—41no—
761C22⋊D43—41no—
762C22⋊D43—42no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C22⋊D43—81no—
773C22⋊D43—81no—
774C22⋊D43—81no—
775C22⋊D43—81no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—41no—
783C2×Dic43—41no—
784C2×Dic43—42no—
785C2×Dic43—81no—
786C2×Dic43—81no—
787C2×Dic43—81no—
788C2×Dic43—81no—
789C2×Dic43—81no—
790C2×Dic43C22×D411yescharacteristic
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794C2×Dic43C22×D411yescharacteristic
795C2×Dic43C22×D411yescharacteristic
796C2×Dic43C22×D411yescharacteristic
797D172—21no—
798D172—21no—
799D172—21no—
800D172—21no—
801D172—81no—
802D172—81no—
803D172—81no—
804C4×D43—21no—
805C4×D43—21no—
806C4×D43—42no—
807C4×D43—42no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—21no—
816Dic86—41no—
817Dic86—42no—
818Dic86—81no—
819Dic86—81no—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62026—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—21no—
833C22×C43—21no—
834C22×C43—21no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—162no—
848C22×C43C23×D411yescharacteristic
849C2×D43—21no—
850C2×D43—21no—
851C2×D43—21no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—162no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—22no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43C2×H(5,𝔽2)11yescharacteristic
868C4×C43#58511yescharacteristic
869Dic43—21no—
870Dic43—21no—
871Dic43—21no—
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—41no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882#3546—431no—
883#3524—431no—
884#3401—431no—
885#3399—431no—
886#3377—431no—
887#3368—431no—
888#3319—431no—
889#3318—431no—
890#3317—431no—
891#3307—431no—
892#3305—431no—
893#3296—431no—
894#3287—431no—
895#3282—431no—
896#3271—431no—
897#3269—431no—
898#3268D4311yescharacteristic, complemented
899#3265—431no—
900#3262—431no—
901#3257—431no—
902#3247—431no—
903#3224—431no—
904#3220—431no—
905#3219—431no—
906#3125—431no—
907#3121—431no—
908#3115—431no—
909#3045—431no—
910#3043—431no—
911#3035—431no—
912#2992—431no—
913C2×C43—41no—
914C2×C43—41no—
915C2×C43—81no—
916C2×C43—81no—
917C2×C43—81no—
918C2×C43—81no—
919C2×C43#348811yescharacteristic
920C2×C43#358411yescharacteristic
921C2×C43#358511yescharacteristic
922D43—41no—
923D43—81no—
924D43—81no—
925C2×#137—431no—
926C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
927C2×#135—431no—
928C2×#135—431no—
929C2×#135C2×D4311yescharacteristic, complemented
930C22×SD16—431no—
931#560—861no—
932#560—861no—
933#559—431no—
934#559—861no—
935#557—431no—
936#556—431no—
937#555—431no—
938#555—861no—
939#553—431no—
940#553—861no—
941#553—861no—
942#552—431no—
943#552—861no—
944#550—431no—
945#550—431no—
946#550—431no—
947#550C2×D4311yescharacteristic, complemented
948#548—431no—
949#548—431no—
950#547—431no—
951#546—431no—
952#546—861no—
953#546C2×D4311yescharacteristic
954D42—431no—
955#542—431no—
956#542—431no—
957#542—431no—
958#542—861no—
959#540—431no—
960#540—861no—
961#538—861no—
962#538—861no—
963#537—861no—
964#535—431no—
965#535—431no—
966#535—861no—
967#532—431no—
968#532—431no—
969#529—431no—
970#529—431no—
971#529—861no—
972#529—861no—
973#520—431no—
974#519—431no—
975C4×#41—431no—
976#497—431no—
977#496—431no—
978#496—431no—
979#496C2×D4311yescharacteristic
980#495—431no—
981#493—431no—
982#491—431no—
983#490—431no—
984#490—431no—
985#489—431no—
986#488—431no—
987#486—431no—
988#485—431no—
989#483—431no—
990#482—431no—
991#482—431no—
992#482—431no—
993#481—431no—
994#479—431no—
995#478—431no—
996#478—431no—
997#478—431no—
998#477—431no—
999#477—431no—
1000#476—431no—
1001#475—431no—
1002#474—431no—
1003#474—431no—
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#468C2×D4311yescharacteristic, complemented
1008#467—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466C2×D4311yescharacteristic
1013#465—431no—
1014#465—431no—
1015#465—431no—
1016#464—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#464—431no—
1021#464—431no—
1022#464—431no—
1023#464C2×D4311yescharacteristic
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463—431no—
1032#462—431no—
1033#461—431no—
1034#460—431no—
1035#460—431no—
1036#460—431no—
1037#460—431no—
1038#460—431no—
1039#460—431no—
1040#460—431no—
1041#459—431no—
1042#459—431no—
1043#459—431no—
1044#459—431no—
1045#459C2×D4311yescharacteristic, complemented
1046#452—431no—
1047#452—431no—
1048#452—431no—
1049#452C2×D4311yescharacteristic, complemented
1050#451—431no—
1051#450—431no—
1052#449—431no—
1053#449—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449C2×D4311yescharacteristic
1059#449C2×D4311yescharacteristic, complemented
1060#448—431no—
1061#447—431no—
1062#447—431no—
1063#447C2×D4311yescharacteristic
1064#446—431no—
1065#446—431no—
1066#442—431no—
1067#442—431no—
1068#442—431no—
1069#441—431no—
1070#441—431no—
1071#440—431no—
1072#440—431no—
1073#440C2×D4311yescharacteristic, complemented
1074C4×Q16—431no—
1075C4×SD16—431no—
1076C4×SD16—431no—
1077C4×SD16—431no—
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435C2×D4311yescharacteristic, complemented
1082C8×D4—431no—
1083C8×D4—431no—
1084#433—431no—
1085#433—431no—
1086#432—431no—
1087#424—431no—
1088#424—431no—
1089C2×C4⋊C8—431no—
1090#418—431no—
1091#417—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095C2×#102—431no—
1096C43#6202611yescharacteristic, complemented, Sylow
1097C2×#41—431no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—861no—
1101C2×#41—861no—
1102C2×#41C22×D4311yescharacteristic
1103C2×#41C22×D4311yescharacteristic
1104C2×#41C22×D4311yescharacteristic
1105C22×Q8—431no—
1106C22×D4—431no—
1107C22×D4—861no—
1108C22×D4C22×D4311yescharacteristic
1109#137—1722no—
1110AGL(1,ℤ/8)—42no—
1111#135—42no—
1112#135—1722no—
1113#135—1722no—
1114C2×Q16—431no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16C22×D4311yescharacteristic
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—1722no—
1127C2×SD16C22×D4311yescharacteristic
1128C2×SD16C22×D4311yescharacteristic
1129C2×SD16C22×D4311yescharacteristic
1130C2×SD16C22×D4311yescharacteristic
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8C22×D4311yescharacteristic
1136C2×D8C22×D4311yescharacteristic
1137C2×D8C22×D4311yescharacteristic
1138C2×D8C22×D4311yescharacteristic
1139C2×M16—431no—
1140C2×M16C22×D4311yescharacteristic
1141C22×C8—431no—
1142C22×C8—431no—
1143C22×C8—431no—
1144C22×C8C22×D4311yescharacteristic
1145C4⋊Q8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8—861no—
1149#127—21no—
1150#127—431no—
1151#127—431no—
1152#127—431no—
1153#127—431no—
1154#127—861no—
1155#127—861no—
1156#127C22×D4311yescharacteristic
1157#126—431no—
1158#126—431no—
1159#126—861no—
1160#126—861no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#126—861no—
1165#126—861no—
1166#126—861no—
1167#125—431no—
1168#125—431no—
1169#125—431no—
1170#125—861no—
1171#125—861no—
1172#125—861no—
1173#124—431no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—861no—
1180#124—861no—
1181#124—861no—
1182#124—861no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124C22×D4311yescharacteristic
1189#123—21no—
1190#123—431no—
1191#123—431no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205C22⋊Q8—431no—
1206C22⋊Q8—431no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—861no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8C22×D4311yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—431no—
1220#121—431no—
1221#121—431no—
1222#121—431no—
1223#121—431no—
1224#121—431no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121C22×D4311yescharacteristic
1249#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#120—21no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×Q8—431no—
1267C4×Q8—861no—
1268C4×Q8—861no—
1269C4×Q8—861no—
1270C4×Q8C22×D4311yescharacteristic
1271C4×D4—21no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—431no—
1280C4×D4—431no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—431no—
1298#117—431no—
1299#117—431no—
1300#117—431no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117—861no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—861no—
1314C2×C42—431no—
1315C2×C42—861no—
1316#107—431no—
1317#107—431no—
1318#107—431no—
1319#107C22×D4311yescharacteristic
1320#106—431no—
1321#106—431no—
1322#106—431no—
1323#106—431no—
1324C4⋊C8—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
1332C4⋊C8—431no—
1333C4⋊C8C22×D4311yescharacteristic
1334#103—431no—
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103C22×D4311yescharacteristic
1345#103C22×D4311yescharacteristic
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102—431no—
1361#102—431no—
1362#102C22×D4311yescharacteristic
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366C22⋊C8—431no—
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8C22×D4311yescharacteristic
1371C22⋊C8C22×D4311yescharacteristic
1372#97—431no—
1373#97—431no—
1374#97—431no—
1375#97C22×D4311yescharacteristic
1376C4×C8—431no—
1377C4×C8—431no—
1378C24—21no—
1379C24—861no—
1380#41—22no—
1381#41—22no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—3442no—
1387#41—3442no—
1388#41—1721no—
1389#41—1721no—
1390#41—1721no—
1391#41—1721no—
1392#41—1721no—
1393#41—1721no—
1394C2×Q8—431no—
1395C2×Q8—431no—
1396C2×Q8—431no—
1397C2×Q8—861no—
1398C2×Q8—861no—
1399C2×Q8—861no—
1400C2×Q8—862no—
1401C2×Q8—1721no—
1402C2×Q8C23×D4311yescharacteristic
1403C2×Q8C23×D4311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—431no—
1416C2×D4—431no—
1417C2×D4—431no—
1418C2×D4—431no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—861no—
1424C2×D4—861no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—861no—
1431C2×D4—861no—
1432C2×D4—861no—
1433C2×D4—861no—
1434C2×D4—861no—
1435C2×D4—861no—
1436C2×D4—3442no—
1437C2×D4—1721no—
1438C2×D4—1721no—
1439C2×D4D4×D4311yescharacteristic
1440C2×D4C23×D4311yescharacteristic
1441C2×D4C23×D4311yescharacteristic
1442C2×D4C23×D4311yescharacteristic
1443C2×D4C23×D4311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—431no—
1449C22×C4—431no—
1450C22×C4—431no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—861no—
1462C22×C4—861no—
1463C22×C4C23×D4311yescharacteristic
1464C22×C4C23×D4311yescharacteristic
1465Q16—22no—
1466Q16—862no—
1467Q16—1721no—
1468Q16—1721no—
1469SD16—22no—
1470SD16—22no—
1471SD16—41no—
1472SD16—41no—
1473SD16—862no—
1474SD16—862no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479SD16—1721no—
1480SD16—1721no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488D8—1721no—
1489M16—41no—
1490M16—1721no—
1491C2×C8—41no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—1721no—
1497C2×C8—1721no—
1498C2×C8—1721no—
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C2×C8C23×D4311yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—431no—
1506C4⋊C4—431no—
1507C4⋊C4—431no—
1508C4⋊C4—431no—
1509C4⋊C4—431no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—431no—
1515C4⋊C4—431no—
1516C4⋊C4—431no—
1517C4⋊C4—431no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4—861no—
1525C4⋊C4—861no—
1526C4⋊C4—861no—
1527C4⋊C4—861no—
1528C4⋊C4—861no—
1529C4⋊C4—861no—
1530C4⋊C4—861no—
1531C4⋊C4—861no—
1532C4⋊C4—861no—
1533C4⋊C4—861no—
1534C4⋊C4—861no—
1535C4⋊C4—861no—
1536C4⋊C4—861no—
1537C4⋊C4D4×D4311yescharacteristic
1538C4⋊C4C23×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—431no—
1548C22⋊C4—431no—
1549C22⋊C4—431no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4—861no—
1571C22⋊C4—861no—
1572C22⋊C4—861no—
1573C22⋊C4—861no—
1574C22⋊C4—861no—
1575C22⋊C4—861no—
1576C22⋊C4—861no—
1577C22⋊C4—861no—
1578C22⋊C4—861no—
1579C22⋊C4—861no—
1580C22⋊C4—861no—
1581C22⋊C4—861no—
1582C22⋊C4D4×D4311yescharacteristic
1583C22⋊C4D4×D4311yescharacteristic
1584C42—21no—
1585C42—431no—
1586C42—431no—
1587C42—431no—
1588C42—431no—
1589C42—431no—
1590C42—861no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42—861no—
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—431no—
1608C23—861no—
1609C23—861no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23C2×D4×D4311yescharacteristic
1614C23C2×D4×D4311yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—861no—
1619Q8—861no—
1620Q8—861no—
1621Q8—861no—
1622Q8—3441no—
1623Q8—3441no—
1624Q8—1721no—
1625Q8—1722no—
1626Q8#1306337012yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—861no—
1646D4—861no—
1647D4—861no—
1648D4—861no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—3441no—
1661D4—3441no—
1662D4—3441no—
1663D4—3441no—
1664D4—3441no—
1665D4—1721no—
1666D4—1721no—
1667D4—1722no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—431no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—431no—
1685C2×C4—431no—
1686C2×C4—431no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—3441no—
1702C2×C4—3441no—
1703C2×C4—3441no—
1704C2×C4—1722no—
1705C2×C4—1722no—
1706C2×C4—1721no—
1707C2×C4—1721no—
1708C2×C4—1722no—
1709C2×C4C2×D4×D4311yescharacteristic
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C24×D4311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—861no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—162no—
1741C22—861no—
1742C22—861no—
1743C22—861no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—6882no—
1751C22C22×D4×D4311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—22no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—861no—
1761C4—861no—
1762C4—861no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—1721no—
1768C4—1721no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4C2×#1306337011yescharacteristic
1774C4#1458373411yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—3441no—
1782C2—3441no—
1783C2—1721no—
1784C2#1914825511yescharacteristic
1785C2#1914936811yescharacteristic
1786C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3268C2
socleC22×C43C23×D4
hypercenter#3268D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #19148962C2semidirect
2. #19148693C2semidirect
3. #19147656C2semidirect
4. #19147641C2semidirect
5. #19147441C2semidirect
6. #19147325C2semidirect
7. #19146757C2semidirect
8. #19146740C2semidirect
9. #19146723C2semidirect
10. #19146566C2semidirect
11. #19146538C2semidirect
12. #19146430C2semidirect
13. #19146351C2semidirect
14. #19146305C2semidirect
15. #19146180C2semidirect
16. #19146143C2semidirect
17. #19146084C2semidirect
18. #19146052C2semidirect
19. #19146002C2semidirect
20. #19145914C2semidirect
21. #19145685C2semidirect
22. #19145640C2semidirect
23. #19145630C2semidirect
24. #19144865C2semidirect
25. #19144822C2semidirect
26. #19144739C2semidirect
27. #19144138C2semidirect
28. #19144114C2semidirect
29. #19144046C2semidirect
30. #19143735C2semidirect
31. C43×#3268C2semidirect
32. C2×#13063357C22semidirect
33. C2×#13063345C22semidirect
34. C2×#13063345C22semidirect
39. #14583635C22semidirect
40. #14583625C22semidirect
43. #14583613C22semidirect
48. #14583589C22semidirect
53. #14583556C22semidirect
60. #14583516C22semidirect
63. #14583503C22semidirect
73. #14583430C22semidirect
76. #14583382C22semidirect
77. #14583375C22semidirect
78. #41×Dic43C22semidirect
79. #14583290C22semidirect
81. #14583287C22semidirect
83. #14583275C22semidirect
84. #14583266C22semidirect
85. #14583264C22semidirect
89. #14583244C22semidirect
90. #14583242C22semidirect
91. #14583227C22semidirect
92. #14583224C22semidirect
96. #14583207C22semidirect
97. #14583202C22semidirect
99. #14583199C22semidirect
100. #14583193C22semidirect
101. #14583192C22semidirect
102. #14583187C22semidirect
103. #14583182C22semidirect
104. #14583178C22semidirect
105. #14583177C22semidirect
108. #14583144C22semidirect
109. #14583138C22semidirect
111. #14583133C22semidirect
113. #14583128C22semidirect
114. #14583127C22semidirect
116. #14583124C22semidirect
117. #14583123C22semidirect
118. #14583120C22semidirect
120. #14583119C22semidirect
121. #14583119C22semidirect
123. #14583116C22semidirect
124. #14583116C22semidirect
125. #14583113C22semidirect
126. #14583113C22semidirect
129. #14583112C22semidirect
130. #14583112C22semidirect
131. #14583107C22semidirect
132. #14583102C22semidirect
133. #14583100C22semidirect
134. #14583099C22semidirect
138. #14583097C22semidirect
139. #14583096C22semidirect
143. #14583092C22semidirect
144. #14583063C22semidirect
145. #14583063C22semidirect
146. #14583061C22semidirect
147. #14583056C22semidirect
150. #14583044C22semidirect
151. #14583043C22semidirect
152. #14583043C22semidirect
153. #14583042C22semidirect
154. #14583042C22semidirect
158. #14583027C22semidirect
159. #14583026C22semidirect
161. #14583008C22semidirect
162. #14583008C22semidirect
163. #14583007C22semidirect
164. #14583006C22semidirect
165. #14583002C22semidirect
167. C4×#10621885C22semidirect
168. SD16×Dic43C22semidirect
169. C4×#10621883C22semidirect
170. #14582984C22semidirect
171. #14582970C22semidirect
174. D4×C43⋊C8C22semidirect
175. (C22⋊D43)⋊C8C22semidirect
176. #14582961C22semidirect
177. #14582957C22semidirect
178. #14582953C22semidirect
179. #14582927C22semidirect
180. #14582924C22semidirect
181. C2×Dic43⋊C8C22semidirect
183. #14582901C22semidirect
184. #14582896C22semidirect
185. #14582895C22semidirect
186. #14582894C22semidirect
189. C2×#135×C43C22semidirect
190. C43×#550C22semidirect
193. C43×#468C22semidirect
196. C43×#459C22semidirect
197. C43×#452C22semidirect
199. C43×#449C22semidirect
201. C43×#440C22semidirect
202. C43×#435C22semidirect
898. #3268D43semidirect
929. C2×#135C2×D43semidirect
947. #550C2×D43semidirect
1007. #468C2×D43semidirect
1045. #459C2×D43semidirect
1049. #452C2×D43semidirect
1059. #449C2×D43semidirect
1073. #440C2×D43semidirect
1081. #435C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489622
#191486932
#191476562
#191476412
#191474412
#191473252
#191467572
#191467402
#191467232
#191465662
#191465382
#191464302
#191463512
#191463052
#191461802
#191461432
#191460842
#191460522
#191460022
#191459142
#191456852
#191456402
#191456302
#191448652
#191448222
#191447392
#191441382
#191441142
#191440462
#191437352
C43×#32682
#6202643