Finite Group Databasebeta

← #25988686

Subgroups — #25988686

Order 11008.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149094C211yesmaximal, characteristic, complemented
2#19148470C211yesmaximal, characteristic, complemented
3#19147686C211yesmaximal, characteristic, complemented
4#19147683C211yesmaximal, characteristic, complemented
5#19147667C211yesmaximal, characteristic, complemented
6#19147665C211yesmaximal, characteristic, complemented
7#19147640C211yesmaximal, characteristic, complemented
8#19147634C211yesmaximal, characteristic, complemented
9#19147612C211yesmaximal, characteristic, complemented
10#19147610C211yesmaximal, characteristic, complemented
11#19147362C211yesmaximal, characteristic, complemented
12#19147360C211yesmaximal, characteristic, complemented
13#19147347C211yesmaximal, characteristic, complemented
14#19147345C211yesmaximal, characteristic, complemented
15#19147329C211yesmaximal, characteristic, complemented
16#19147328C211yesmaximal, characteristic, complemented
17#19147307C211yesmaximal, characteristic, complemented
18#19147306C211yesmaximal, characteristic, complemented
19#19145689C211yesmaximal, characteristic, complemented
20#19145665C211yesmaximal, characteristic, complemented
21#19145643C211yesmaximal, characteristic, complemented
22#19145616C211yesmaximal, characteristic, complemented
23#19145611C211yesmaximal, characteristic, complemented
24#19144841C211yesmaximal, characteristic, complemented
25#19144832C211yesmaximal, characteristic, complemented
26#19144781C211yesmaximal, characteristic, complemented
27#19144773C211yesmaximal, characteristic, complemented
28#19144705C211yesmaximal, characteristic, complemented
29#19144697C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3224C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583650—21no—
34#14583632C2211yescharacteristic, complemented
35#14583631C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583631C2211yescharacteristic
39#14583631C2211yescharacteristic, complemented
40#14583628C2211yescharacteristic, complemented
41#14583624C2211yescharacteristic, complemented
42#14583621C2211yescharacteristic, complemented
43#14583618C2211yescharacteristic, complemented
44#14583610C2211yescharacteristic, complemented
45#14583606C2211yescharacteristic, complemented
46#14583591—21no—
47#14583585—21no—
48#14583569C2211yescharacteristic
49#14583569C2211yescharacteristic
50#14583569C2211yescharacteristic
51#14583569C2211yescharacteristic
52#14583536—21no—
53#14583536—21no—
54#14583536—21no—
55#14583536—21no—
56#14583520C2211yescharacteristic
57#14583518—21no—
58#14583513—21no—
59#14583509C2211yescharacteristic
60#14583502—21no—
61#14583502—21no—
62#14583502C2211yescharacteristic
63#14583493—21no—
64#14583492—21no—
65#14583463C2211yescharacteristic
66#14583452C2211yescharacteristic
67#14583444—21no—
68#14583444—21no—
69C2×#13063321C2211yescharacteristic
70#14583435C2211yescharacteristic
71#14583430C2211yescharacteristic
72#14583374C2211yescharacteristic
73#14583373C2211yescharacteristic
74#41×Dic43C2211yescharacteristic
75#14583292C2211yescharacteristic, complemented
76#14583287C2211yescharacteristic
77#14583287C2211yescharacteristic
78#14583286C2211yescharacteristic, complemented
79#14583285C2211yescharacteristic
80#14583285C2211yescharacteristic
81#14583285C2211yescharacteristic, complemented
82#14583281C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic, complemented
84#14583270C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic
86#14583262C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583262C2211yescharacteristic
89#14583262C2211yescharacteristic, complemented
90#14583262C2211yescharacteristic, complemented
91#14583258C2211yescharacteristic, complemented
92#14583255C2211yescharacteristic, complemented
93#14583255C2211yescharacteristic, complemented
94#14583245C2211yescharacteristic, complemented
95#14583241C2211yescharacteristic
96#14583237C2211yescharacteristic
97#14583224C2211yescharacteristic
98#14583220C2211yescharacteristic
99#14583208C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583197C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic, complemented
106#14583197C2211yescharacteristic, complemented
107#14583190C2211yescharacteristic, complemented
108#14583186C2211yescharacteristic, complemented
109#14583180C2211yescharacteristic, complemented
110#14583176C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic, complemented
114#14583119C2211yescharacteristic, complemented
115#14583118C2211yescharacteristic, complemented
116#14583117C2211yescharacteristic, complemented
117#14583116C2211yescharacteristic, complemented
118#14583116C2211yescharacteristic, complemented
119#14583115C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583112C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583111C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583102C2211yescharacteristic, complemented
126#14583102C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic
128#14583098C2211yescharacteristic
129#14583098C2211yescharacteristic, complemented
130#14583097C2211yescharacteristic
131#14583097C2211yescharacteristic
132#14583097C2211yescharacteristic, complemented
133#14583096C2211yescharacteristic, complemented
134#14583093C2211yescharacteristic
135#14583093C2211yescharacteristic
136#14583093C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic
138#14583092C2211yescharacteristic
139#14583092C2211yescharacteristic, complemented
140#14583092C2211yescharacteristic, complemented
141#14583092C2211yescharacteristic, complemented
142#14583091C2211yescharacteristic, complemented
143#14583061C2211yescharacteristic
144#14583052C2211yescharacteristic
145#14583050C2211yescharacteristic
146#14583049C2211yescharacteristic
147#14583044C2211yescharacteristic
148#14583035C2211yescharacteristic
149#14583033C2211yescharacteristic
150#14583032C2211yescharacteristic
151#14583029C2211yescharacteristic, complemented
152#14583029C2211yescharacteristic, complemented
153#14583028C2211yescharacteristic, complemented
154#14583028C2211yescharacteristic, complemented
155#14583027C2211yescharacteristic, complemented
156#14583027C2211yescharacteristic, complemented
157#14583026C2211yescharacteristic, complemented
158#14583026C2211yescharacteristic, complemented
159#14583012C2211yescharacteristic, complemented
160#14583011C2211yescharacteristic, complemented
161#14583011C2211yescharacteristic, complemented
162#14583009C2211yescharacteristic, complemented
163#14583008C2211yescharacteristic, complemented
164#14583008C2211yescharacteristic, complemented
165#14583006C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14583002C2211yescharacteristic, complemented
168#14583001C2211yescharacteristic, complemented
169#14583000C2211yescharacteristic, complemented
170#14583000C2211yescharacteristic, complemented
171#14583000C2211yescharacteristic, complemented
172#14582997C2211yescharacteristic, complemented
173#14582996C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175#14582990C2211yescharacteristic, complemented
176C4×#10621873C2211yescharacteristic, complemented
177SD16×Dic43C2211yescharacteristic, complemented
178C4×#10621884C2211yescharacteristic, complemented
179C4×D344C2211yescharacteristic, complemented
180D8×Dic43C2211yescharacteristic, complemented
181C4×#10621882C2211yescharacteristic, complemented
182#14582979C2211yescharacteristic, complemented
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#535C2211yescharacteristic
190C43×#496C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#450C2211yescharacteristic
200C43×#449C2211yescharacteristic
201C43×#447C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C22×D172C2311yescharacteristic
208C22×C22⋊D43—21no—
209C22×C22⋊D43—21no—
210C2×#10621885C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226#13063325—21no—
227#13063325C2311yescharacteristic
228#13063324D411yescharacteristic
229#13063324D411yescharacteristic
230#13063323—21no—
231#13063323C2311yescharacteristic
232#13063321—21no—
233#13063321—21no—
234#13063321C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063319—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063316—21no—
251#13063316—21no—
252#13063316—21no—
253#13063316D411yescharacteristic
254#13063316D411yescharacteristic
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063316C2311yescharacteristic
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063314C2311yescharacteristic
263#13063314C2311yescharacteristic
264#13063314C2311yescharacteristic
265#13063313C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063309—21no—
275#13063309—21no—
276#13063309—21no—
277#13063309—21no—
278#13063309—21no—
279#13063309—21no—
280#13063309—21no—
281#13063308—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063306—21no—
291#13063305—21no—
292#13063304—21no—
293#13063304C2311yescharacteristic
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302D411yescharacteristic
300#13063302D411yescharacteristic
301#13063302D411yescharacteristic
302#13063302D411yescharacteristic
303#13063301—21no—
304#13063301—21no—
305#13063299—21no—
306#13063299—21no—
307#13063299C2311yescharacteristic
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063296—21no—
318#13063296—21no—
319#13063296—21no—
320#13063296—21no—
321#13063296—21no—
322#13063293—21no—
323#13063293—21no—
324Q8×Dic43—21no—
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342D4×Dic43—21no—
343D4×Dic43—21no—
344D4×Dic43—21no—
345D4×Dic43—21no—
346D4×Dic43—21no—
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355#13063287—21no—
356#13063287—21no—
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359C4×C22⋊D43—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366#13063284—21no—
367#13063284C2311yescharacteristic
368#13063284C2311yescharacteristic
369#13063283—21no—
370#13063282—21no—
371#13063281—21no—
372#13063281—21no—
373C2×C4⋊Dic43—21no—
374C4⋊C4×D43—21no—
375C2×C22⋊Dic43—21no—
376C2×C22⋊Dic43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C2×C4×Dic43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C22×D4×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#126×C43—21no—
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43—21no—
457#121×C43—21no—
458#121×C43C2311yescharacteristic
459#120×C43—21no—
460#120×C43—21no—
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C24×C43—21no—
479C23×D43—21no—
480#41×C43—41no—
481#41×C43—41no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—41no—
493C2×D4×C43—41no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—82no—
517C2×C22⋊D43—82no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43C2×D411yescharacteristic
527C22×Dic43C2×D411yescharacteristic
528#10621900—82no—
529#10621900—82no—
530#10621900—82no—
531#10621900—82no—
532C2×D172—21no—
533C2×D172—41no—
534C2×D172—41no—
535C2×D172C2411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2411yescharacteristic
551Q16×C43—41no—
552SD16×C43—41no—
553SD16×C43—41no—
554SD16×C43—41no—
555SD16×C43—41no—
556D8×C43—41no—
557D8×C43—41no—
558D8×C43—41no—
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43C2×D411yescharacteristic
580C22⋊C4×C43C2×D411yescharacteristic
581C42×C43—21no—
582C42×C43C2411yescharacteristic
583C42×C43C2411yescharacteristic
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598#10621885—41no—
599#10621884—41no—
600#10621884—41no—
601#10621884—41no—
602#10621883—41no—
603#10621883—41no—
604#10621883—41no—
605#10621882—41no—
606#10621882—41no—
607#10621882—41no—
608#10621882—41no—
609#10621882—41no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681D344—41no—
682D344—41no—
683#10621873—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—42no—
690C23×C43—81no—
691C23×C43—81no—
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—81no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—42no—
713D4×C43—42no—
714D4×C43—81no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—42no—
726C2×C4×C43—81no—
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—41no—
754C2×Dic43—41no—
755C2×Dic43—42no—
756C2×Dic43—42no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771D172—21no—
772D172—21no—
773D172—21no—
774D172—21no—
775D172—21no—
776D172—21no—
777D172—42no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785Dic86—21no—
786Dic86—21no—
787Dic86—41no—
788Dic86—41no—
789Dic86—41no—
790Dic86—41no—
791Dic86—81no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8—21no—
799C43⋊C8—21no—
800#61945—431nomaximal, Sylow
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—162no—
817C22×C43C23×D411yescharacteristic
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—162no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43#58511yescharacteristic
838C4×C43#58511yescharacteristic
839Dic43—21no—
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852#3557—431no—
853#3508—431no—
854#3403—431no—
855#3403—431no—
856#3401—431no—
857#3401—431no—
858#3399—431no—
859#3399—431no—
860#3397—431no—
861#3397—431no—
862#3371—431no—
863#3371—431no—
864#3370—431no—
865#3370—431no—
866#3368—431no—
867#3368—431no—
868#3366—431no—
869#3366—431no—
870#3224—431no—
871#3224D4311yescharacteristic, complemented
872#3222—431no—
873#3220—431no—
874#3217—431no—
875#3217—431no—
876#3123—431no—
877#3122—431no—
878#3118—431no—
879#3118—431no—
880#3111—431no—
881#3111—431no—
882#2987—431no—
883C2×C43—41no—
884C2×C43—81no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43—81no—
888C2×C43#348711yescharacteristic
889C2×C43#358511yescharacteristic
890C2×C43#358511yescharacteristic
891D43—81no—
892D43—81no—
893D43—81no—
894#563—861no—
895#563—861no—
896#559—431no—
897#559—431no—
898#559—431no—
899#559—431no—
900#559—431no—
901#559—431no—
902#557—431no—
903#557—431no—
904#556—431no—
905#556—431no—
906#554—431no—
907#554—431no—
908#552—861no—
909#552—861no—
910#550—431no—
911#550—431no—
912#550—431no—
913#550—431no—
914#546—861no—
915#546—861no—
916#546—861no—
917#546—861no—
918#542—431no—
919#542—861no—
920#542—861no—
921#542C2×D4311yescharacteristic
922#541—431no—
923#540—431no—
924#540—861no—
925#540—861no—
926#539—861no—
927#539—861no—
928#535—431no—
929#535C2×D4311yescharacteristic
930#533—431no—
931#532—861no—
932#532—861no—
933C2×#127—431no—
934#529—431no—
935#529—431no—
936#518—431no—
937#518—431no—
938C4×#41—431no—
939#497—431no—
940#496—431no—
941#496—431no—
942#496—431no—
943#496—431no—
944#496—431no—
945#496—431no—
946#496C2×D4311yescharacteristic, complemented
947#495—431no—
948#495C2×D4311yescharacteristic, complemented
949#493—431no—
950#492—431no—
951#490—431no—
952#490—431no—
953#490—431no—
954#490—431no—
955#490—431no—
956#490—431no—
957#489—431no—
958#489C2×D4311yescharacteristic, complemented
959#488—431no—
960#488—431no—
961#486—431no—
962#486C2×D4311yescharacteristic, complemented
963#485—431no—
964#485—431no—
965#482—431no—
966#482—431no—
967#479—431no—
968#479—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#476—431no—
976#476—431no—
977#474—431no—
978#474—431no—
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464C2×D4311yescharacteristic, complemented
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#463—431no—
992#463—431no—
993#463—431no—
994#463C2×D4311yescharacteristic, complemented
995#461—431no—
996#461—431no—
997#460—431no—
998#460—431no—
999#460—431no—
1000#460—431no—
1001#460—431no—
1002#460—431no—
1003#460—431no—
1004#460C2×D4311yescharacteristic, complemented
1005#459—431no—
1006#459—431no—
1007#459—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459—431no—
1012#459—431no—
1013#459—431no—
1014#459C2×D4311yescharacteristic, complemented
1015#452—431no—
1016#452C2×D4311yescharacteristic
1017#450—431no—
1018#450—431no—
1019#450—431no—
1020#450C2×D4311yescharacteristic
1021#449—431no—
1022#449C2×D4311yescharacteristic
1023#447—431no—
1024#447—431no—
1025#447—431no—
1026#447C2×D4311yescharacteristic
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446—431no—
1031#446—431no—
1032#446—431no—
1033#446—431no—
1034#446—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#433C2×D4311yescharacteristic
1063#432—431no—
1064#432—431no—
1065C43#6194511yescharacteristic, complemented, Sylow
1066C2×#41—861no—
1067C2×#41—861no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41C22×D4311yescharacteristic
1071C22×D4—431no—
1072C22×D4—861no—
1073C22×D4—861no—
1074C22×D4C22×D4311yescharacteristic
1075C2×Q16—431no—
1076C2×Q16C22×D4311yescharacteristic
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16C22×D4311yescharacteristic
1086C2×SD16C22×D4311yescharacteristic
1087C2×SD16C22×D4311yescharacteristic
1088C2×SD16C22×D4311yescharacteristic
1089C2×D8—431no—
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8—431no—
1094C2×D8—431no—
1095C2×D8—431no—
1096C2×D8C22×D4311yescharacteristic
1097C2×D8C22×D4311yescharacteristic
1098C2×D8C22×D4311yescharacteristic
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—861no—
1104C4⋊Q8—861no—
1105C4⋊Q8C22×D4311yescharacteristic
1106#127—431no—
1107#127—431no—
1108#127—431no—
1109#127—431no—
1110#127—431no—
1111#127—431no—
1112#127—431no—
1113#127—861no—
1114#127—861no—
1115#127C22×D4311yescharacteristic
1116#127C22×D4311yescharacteristic
1117#126—21no—
1118#126—861no—
1119#126—861no—
1120#126—861no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#125—431no—
1128#125—431no—
1129#125—431no—
1130#125—431no—
1131#125—431no—
1132#125—431no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#124—21no—
1140#124—431no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—861no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124C22×D4311yescharacteristic
1153#124C22×D4311yescharacteristic
1154#124C22×D4311yescharacteristic
1155#123—21no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—21no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8C22×D4311yescharacteristic
1189#121—21no—
1190#121—21no—
1191#121—431no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121C22×D4311yescharacteristic
1209#120—21no—
1210#120—21no—
1211#120—861no—
1212#120—861no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—861no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4C22×D4311yescharacteristic
1257#117—431no—
1258#117—431no—
1259#117—861no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117C22×D4311yescharacteristic
1265C2×C4⋊C4—861no—
1266C2×C4⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C22⋊C4—861no—
1270C2×C22⋊C4—861no—
1271C2×C42—431no—
1272C2×C42—861no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289C4⋊C8—431no—
1290C4⋊C8—431no—
1291C4⋊C8C22×D4311yescharacteristic
1292C4⋊C8C22×D4311yescharacteristic
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8C22×D4311yescharacteristic
1328C22⋊C8C22×D4311yescharacteristic
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97—431no—
1336#97C22×D4311yescharacteristic
1337C4×C8—431no—
1338C4×C8—431no—
1339C4×C8—431no—
1340C4×C8C22×D4311yescharacteristic
1341C24—21no—
1342C24—861no—
1343#41—41no—
1344#41—41no—
1345#41—3442no—
1346#41—3442no—
1347#41—3442no—
1348#41—3442no—
1349C2×Q8—21no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8—431no—
1355C2×Q8—861no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—3442no—
1387C2×D4—3442no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4C23×D4311yescharacteristic
1391C2×D4C23×D4311yescharacteristic
1392C2×D4C23×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4C23×D4311yescharacteristic
1414Q16—41no—
1415Q16—1721no—
1416SD16—41no—
1417SD16—41no—
1418SD16—41no—
1419SD16—41no—
1420SD16—1721no—
1421SD16—1721no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427SD16—1721no—
1428D8—41no—
1429D8—41no—
1430D8—41no—
1431D8—1721no—
1432D8—1721no—
1433D8—1721no—
1434D8—1721no—
1435D8—1721no—
1436D8—1721no—
1437D8—1721no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8C23×D4311yescharacteristic
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4D4×D4311yescharacteristic
1487C4⋊C4D4×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C4⋊C4C23×D4311yescharacteristic
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4D4×D4311yescharacteristic
1530C22⋊C4D4×D4311yescharacteristic
1531C42—21no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—431no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42—861no—
1546C42C23×D4311yescharacteristic
1547C42C23×D4311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—42no—
1553C23—81no—
1554C23—81no—
1555C23—861no—
1556C23—861no—
1557C23—861no—
1558C23—3441no—
1559C23—3441no—
1560C23—1722no—
1561C23C2×D4×D4311yescharacteristic
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—81no—
1567Q8—861no—
1568Q8—861no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1721no—
1572Q8—1721no—
1573Q8—1721no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—42no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—861no—
1590D4—861no—
1591D4—861no—
1592D4—861no—
1593D4—861no—
1594D4—861no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—3441no—
1606D4—1722no—
1607D4—1722no—
1608D4—1722no—
1609D4—1722no—
1610D4—1722no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—42no—
1618C2×C4—81no—
1619C2×C4—431no—
1620C2×C4—431no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—431no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—3441no—
1645C2×C4—1721no—
1646C2×C4—1721no—
1647C2×C4—1722no—
1648C2×C4—1722no—
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C24×D4311yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C8—861no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—162no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—6882no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—861no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4#1458373411yescharacteristic
1713C4#1458373411yescharacteristic
1714C2—41no—
1715C2—81no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—3441no—
1720C2—3441no—
1721C2—3441no—
1722C2#1914825111yescharacteristic
1723C2#1914937011yescharacteristic
1724C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3224C2
socleC22×C43C23×D4
hypercenter#3224D43
hypocenterC43#61945
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #19149094C2semidirect
2. #19148470C2semidirect
3. #19147686C2semidirect
4. #19147683C2semidirect
5. #19147667C2semidirect
6. #19147665C2semidirect
7. #19147640C2semidirect
8. #19147634C2semidirect
9. #19147612C2semidirect
10. #19147610C2semidirect
11. #19147362C2semidirect
12. #19147360C2semidirect
13. #19147347C2semidirect
14. #19147345C2semidirect
15. #19147329C2semidirect
16. #19147328C2semidirect
17. #19147307C2semidirect
18. #19147306C2semidirect
19. #19145689C2semidirect
20. #19145665C2semidirect
21. #19145643C2semidirect
22. #19145616C2semidirect
23. #19145611C2semidirect
24. #19144841C2semidirect
25. #19144832C2semidirect
26. #19144781C2semidirect
27. #19144773C2semidirect
28. #19144705C2semidirect
29. #19144697C2semidirect
30. #19143699C2semidirect
31. C43×#3224C2semidirect
34. #14583632C22semidirect
39. #14583631C22semidirect
40. #14583628C22semidirect
41. #14583624C22semidirect
42. #14583621C22semidirect
43. #14583618C22semidirect
44. #14583610C22semidirect
45. #14583606C22semidirect
75. #14583292C22semidirect
78. #14583286C22semidirect
81. #14583285C22semidirect
82. #14583281C22semidirect
83. #14583274C22semidirect
84. #14583270C22semidirect
89. #14583262C22semidirect
90. #14583262C22semidirect
91. #14583258C22semidirect
92. #14583255C22semidirect
93. #14583255C22semidirect
94. #14583245C22semidirect
99. #14583208C22semidirect
100. #14583204C22semidirect
101. #14583201C22semidirect
102. #14583201C22semidirect
103. #14583201C22semidirect
104. #14583197C22semidirect
105. #14583197C22semidirect
106. #14583197C22semidirect
107. #14583190C22semidirect
108. #14583186C22semidirect
109. #14583180C22semidirect
110. #14583176C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583123C22semidirect
114. #14583119C22semidirect
115. #14583118C22semidirect
116. #14583117C22semidirect
117. #14583116C22semidirect
118. #14583116C22semidirect
119. #14583115C22semidirect
120. #14583115C22semidirect
121. #14583112C22semidirect
122. #14583111C22semidirect
123. #14583111C22semidirect
124. #14583111C22semidirect
125. #14583102C22semidirect
126. #14583102C22semidirect
129. #14583098C22semidirect
132. #14583097C22semidirect
133. #14583096C22semidirect
136. #14583093C22semidirect
139. #14583092C22semidirect
140. #14583092C22semidirect
141. #14583092C22semidirect
142. #14583091C22semidirect
151. #14583029C22semidirect
152. #14583029C22semidirect
153. #14583028C22semidirect
154. #14583028C22semidirect
155. #14583027C22semidirect
156. #14583027C22semidirect
157. #14583026C22semidirect
158. #14583026C22semidirect
159. #14583012C22semidirect
160. #14583011C22semidirect
161. #14583011C22semidirect
162. #14583009C22semidirect
163. #14583008C22semidirect
164. #14583008C22semidirect
165. #14583006C22semidirect
166. #14583003C22semidirect
167. #14583002C22semidirect
168. #14583001C22semidirect
169. #14583000C22semidirect
170. #14583000C22semidirect
171. #14583000C22semidirect
172. #14582997C22semidirect
173. #14582996C22semidirect
174. #14582996C22semidirect
175. #14582990C22semidirect
176. C4×#10621873C22semidirect
177. SD16×Dic43C22semidirect
178. C4×#10621884C22semidirect
179. C4×D344C22semidirect
180. D8×Dic43C22semidirect
181. C4×#10621882C22semidirect
182. #14582979C22semidirect
190. C43×#496C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#486C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#460C22semidirect
197. C43×#459C22semidirect
871. #3224D43semidirect
946. #496C2×D43semidirect
948. #495C2×D43semidirect
958. #489C2×D43semidirect
962. #486C2×D43semidirect
984. #464C2×D43semidirect
994. #463C2×D43semidirect
1004. #460C2×D43semidirect
1014. #459C2×D43semidirect
1065. C43#61945semidirect

Maximal subgroups

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

subgroupindex
#191490942
#191484702
#191476862
#191476832
#191476672
#191476652
#191476402
#191476342
#191476122
#191476102
#191473622
#191473602
#191473472
#191473452
#191473292
#191473282
#191473072
#191473062
#191456892
#191456652
#191456432
#191456162
#191456112
#191448412
#191448322
#191447812
#191447732
#191447052
#191446972
#191436992
C43×#32242
#6194543