Finite Group Databasebeta

← #25979855

Subgroups — #25979855

Order 11008.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148560C211yesmaximal, characteristic, complemented
2#19148536C211yesmaximal, characteristic, complemented
3#19147645C211yesmaximal, characteristic, complemented
4#19147554C211yesmaximal, characteristic, complemented
5#19147380C211yesmaximal, characteristic, complemented
6#19147352C211yesmaximal, characteristic, complemented
7#19147165C211yesmaximal, characteristic, complemented
8#19147086C211yesmaximal, characteristic, complemented
9#19147037C211yesmaximal, characteristic, complemented
10#19146900C211yesmaximal, characteristic, complemented
11#19146811C211yesmaximal, characteristic, complemented
12#19146684C211yesmaximal, characteristic, complemented
13#19146669C211yesmaximal, characteristic, complemented
14#19146609C211yesmaximal, characteristic, complemented
15#19146564C211yesmaximal, characteristic, complemented
16#19146189C211yesmaximal, characteristic, complemented
17#19146120C211yesmaximal, characteristic, complemented
18#19145260C211yesmaximal, characteristic, complemented
19#19145216C211yesmaximal, characteristic, complemented
20#19145196C211yesmaximal, characteristic, complemented
21#19144854C211yesmaximal, characteristic, complemented
22#19144845C211yesmaximal, characteristic, complemented
23#19144802C211yesmaximal, characteristic, complemented
24#19144787C211yesmaximal, characteristic, complemented
25#19144705C211yesmaximal, characteristic, complemented
26#19144689C211yesmaximal, characteristic, complemented
27#19143574C211yesmaximal, characteristic, complemented
28#19143471C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30AGL(1,ℤ/8)×Dic43C211yesmaximal, characteristic, complemented
31C43×#3267C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33#14583631C2211yescharacteristic
34#14583624C2211yescharacteristic, complemented
35#14583608C2211yescharacteristic, complemented
36#14583607C2211yescharacteristic, complemented
37#14583606C2211yescharacteristic
38#14583601—21no—
39#14583601C2211yescharacteristic
40#14583592—21no—
41#14583591C2211yescharacteristic
42#14583589C2211yescharacteristic, complemented
43#14583586—21no—
44#14583586—21no—
45#14583584—21no—
46#14583583C2211yescharacteristic
47#14583575—21no—
48#14583572—21no—
49#14583553C2211yescharacteristic
50#14583548C2211yescharacteristic
51#14583548C2211yescharacteristic, complemented
52#14583537C2211yescharacteristic
53#14583536—21no—
54D4×C22⋊D43C2211yescharacteristic
55#14583518C2211yescharacteristic
56#14583510C2211yescharacteristic, complemented
57#14583509C2211yescharacteristic, complemented
58#14583502C2211yescharacteristic
59#14583494—21no—
60#14583493—21no—
61#14583493—21no—
62#14583486—21no—
63#14583451C2211yescharacteristic, complemented
64#14583435C2211yescharacteristic
65#14583429C2211yescharacteristic
66#14583426—21no—
67C2×#13063315—21no—
68#14583405—21no—
69C2×#13063309—21no—
70#14583382C2211yescharacteristic
71#14583382C2211yescharacteristic, complemented
72#14583378C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic
74#41×Dic43C2211yescharacteristic, complemented
75C2×D4×Dic43C2211yescharacteristic
76#14583308C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583299C2211yescharacteristic, complemented
79#14583292C2211yescharacteristic, complemented
80#14583270C2211yescharacteristic
81#14583266C2211yescharacteristic, complemented
82#14583266C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic
84#14583260C2211yescharacteristic, complemented
85#14583253C2211yescharacteristic, complemented
86#14583249C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583230C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic
96#14583215C2211yescharacteristic, complemented
97#14583213C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic
99#14583208C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic
103#14583201C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic, complemented
105#14583199C2211yescharacteristic
106#14583197C2211yescharacteristic, complemented
107#14583195C2211yescharacteristic, complemented
108#14583179C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583177C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583154C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic
114#14583147C2211yescharacteristic, complemented
115#14583145C2211yescharacteristic
116#14583143C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic
118#14583137C2211yescharacteristic, complemented
119#14583128C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic
121#14583123C2211yescharacteristic, complemented
122#14583118C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic, complemented
124#14583107C2211yescharacteristic, complemented
125#14583102C2211yescharacteristic
126#14583102C2211yescharacteristic
127#14583102C2211yescharacteristic, complemented
128#14583101C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic
130#14583092C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583058C2211yescharacteristic, complemented
133#14583050C2211yescharacteristic
134#14583048C2211yescharacteristic
135#14583048C2211yescharacteristic
136#14583044C2211yescharacteristic
137#14583044C2211yescharacteristic, complemented
138#14583041C2211yescharacteristic
139#14583027C2211yescharacteristic, complemented
140#14583026C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic
142#14583011C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic, complemented
144#14583006C2211yescharacteristic, complemented
145#14583002C2211yescharacteristic, complemented
146#14583001C2211yescharacteristic, complemented
147#14583000C2211yescharacteristic
148#14583000C2211yescharacteristic
149#14583000C2211yescharacteristic
150#14583000C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic, complemented
152#14583000C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic, complemented
156Q16×Dic43C2211yescharacteristic, complemented
157Q16×Dic43C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic
163#14582984C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic
165D8×Dic43C2211yescharacteristic
166D8×Dic43C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic, complemented
168#14582977C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic
170#14582973C2211yescharacteristic
171#14582973C2211yescharacteristic, complemented
172#14582970C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178C2×#13063259C2211yescharacteristic, complemented
179#14582904C2211yescharacteristic
180#14582900C2211yescharacteristic
181#14582900C2211yescharacteristic, complemented
182#14582900C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×#135×C43C2211yescharacteristic
190C43×#547C2211yescharacteristic, complemented
191C43×#546C2211yescharacteristic
192C43×#497C2211yescharacteristic, complemented
193C43×#470C2211yescharacteristic, complemented
194C43×#465C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic
200C43×#449C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic
202C43×#435C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C22×C22⋊D43—21no—
206C2×D4×D43C2311yescharacteristic
207C23×Dic43—21no—
208#13063349—24no—
209C2×#10621885C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621877C2311yescharacteristic
217C2×#10621877C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220#13063325C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063323C2311yescharacteristic
223#13063323C2311yescharacteristic
224#13063321C2311yescharacteristic
225#13063320—21no—
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320D411yescharacteristic
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318D411yescharacteristic
237#13063317C2311yescharacteristic
238#13063316—21no—
239#13063316—21no—
240#13063316—21no—
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063315—21no—
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315D411yescharacteristic
254#13063314C2311yescharacteristic
255#13063311—21no—
256#13063311—21no—
257#13063311D411yescharacteristic
258#13063309—21no—
259#13063309—21no—
260#13063309—21no—
261#13063309—21no—
262#13063309—21no—
263#13063309—21no—
264#13063309—21no—
265#13063309—21no—
266#13063309D411yescharacteristic
267#13063308—21no—
268#13063308—21no—
269#13063308—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306D411yescharacteristic
277#13063305—21no—
278#13063305—21no—
279#13063304—21no—
280#13063304—21no—
281#13063304C2311yescharacteristic
282#13063304C2311yescharacteristic
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302D411yescharacteristic
291#13063301C2311yescharacteristic
292#13063301C2311yescharacteristic
293#13063301C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297D411yescharacteristic
303#13063296—21no—
304#13063296C2311yescharacteristic
305#13063294—21no—
306#13063293—21no—
307#13063293—21no—
308Q8×Dic43C2311yescharacteristic
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314C4×Dic86C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316#13063290—21no—
317#13063290—21no—
318#13063290C2311yescharacteristic
319C4×D172C2311yescharacteristic
320D4×Dic43—21no—
321D4×Dic43—21no—
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43C2311yescharacteristic
330D4×Dic43C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337#13063287C2311yescharacteristic
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43C2311yescharacteristic
341C4×C22⋊D43C2311yescharacteristic
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284—21no—
348#13063284—21no—
349#13063284—21no—
350#13063284C2311yescharacteristic
351#13063284C2311yescharacteristic
352#13063283—21no—
353#13063283—21no—
354#13063283C2311yescharacteristic
355#13063282C2311yescharacteristic
356#13063281—21no—
357#13063281—21no—
358#13063281—21no—
359#13063281—21no—
360C2×C4⋊Dic43—21no—
361C2×C4⋊Dic43—21no—
362C2×C4⋊Dic43—21no—
363C2×C4⋊Dic43C2311yescharacteristic
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C2×Dic43⋊C4—21no—
368C2×Dic43⋊C4—21no—
369C2×Dic43⋊C4—21no—
370C4⋊C4×D43C2311yescharacteristic
371C2×C22⋊Dic43—21no—
372C2×(C2×D43)⋊C4—21no—
373C2×(C2×D43)⋊C4—21no—
374C22⋊C4×D43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440AGL(1,ℤ/8)×C43—24no—
441#135×C43—24no—
442C2×Q16×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C22×C8×C43C2311yescharacteristic
453C4⋊Q8×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457#123×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43—21no—
462#121×C43—21no—
463#121×C43C2311yescharacteristic
464#120×C43—21no—
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C2×C4⋊C4×C43—21no—
469C2×C22⋊C4×C43—21no—
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—22no—
486#41×C43—41no—
487#41×C43—41no—
488#41×C43—41no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—22no—
498C2×D4×C43—41no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
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—21no—
517C2×C22⋊D43—82no—
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—82no—
533C22×Dic43C2×D411yescharacteristic
534C22×Dic43C2×D411yescharacteristic
535#10621900—22no—
536#10621900—41no—
537#10621900—82no—
538D4×D43—22no—
539D4×D43—41no—
540C2×D172C2411yescharacteristic
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43C2411yescharacteristic
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—22no—
550Q16×C43—41no—
551SD16×C43—22no—
552SD16×C43—22no—
553SD16×C43—22no—
554SD16×C43—22no—
555SD16×C43—41no—
556D8×C43—22no—
557D8×C43#4114yescomplemented
558M16×C43—22no—
559C2×C8×C43—22no—
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
580C22⋊C4×C43C2×D411yescharacteristic
581C22⋊C4×C43C2×D411yescharacteristic
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599#10621885—41no—
600#10621884—41no—
601#10621884—41no—
602#10621883—22no—
603#10621883—41no—
604#10621882—22no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
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⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680#10621877—41no—
681#10621877—41no—
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686#10621873—22no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—81no—
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—41no—
713D4×C43—42no—
714D4×C43—42no—
715D4×C43—42no—
716D4×C43—42no—
717D4×C43—81no—
718D4×C43C2×#4112yes—
719D4×C43C2×#4112yes—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—42no—
730C2×C4×C43—42no—
731C2×C4×C43—42no—
732C2×C4×C43—81no—
733C2×C4×C43—81no—
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C2511yescharacteristic
739C22⋊D43—41no—
740C22⋊D43—41no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
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—21no—
754C2×Dic43—21no—
755C2×Dic43—41no—
756C2×Dic43—41no—
757C2×Dic43—42no—
758C2×Dic43—42no—
759C2×Dic43—42no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43—81no—
764C2×Dic43—81no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776D172—21no—
777D172—21no—
778C4×D43—21no—
779C4×D43—21no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783Dic86—21no—
784Dic86—21no—
785Dic86—41no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61509—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—22no—
802C22×C43—22no—
803C22×C43—21no—
804C22×C43—21no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—84no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43C22×#4111yescharacteristic
831C4×C43#58511yescharacteristic
832Dic43—21no—
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3515—431no—
847#3513—431no—
848#3400—431no—
849#3389—431no—
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343—431no—
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314—431no—
859#3310—431no—
860#3307—431no—
861#3272—431no—
862#3267—431no—
863#3267D4311yescharacteristic, complemented
864#3178—431no—
865#3174—431no—
866#3172—431no—
867#3124—431no—
868#3123—431no—
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—42no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—42no—
881C2×C43—81no—
882C2×C43D4×#4111yescharacteristic
883C2×C43#358511yescharacteristic
884C2×C43#358611yescharacteristic
885D43—41no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
889C2×#135C2×D4311yescharacteristic
890#559—431no—
891#557—431no—
892#554—431no—
893#554—431no—
894#554—431no—
895#553—431no—
896#553—861no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—431no—
901#552—861no—
902#552—861no—
903#552—861no—
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547C2×D4311yescharacteristic, complemented
910#546—431no—
911#546—861no—
912#546C2×D4311yescharacteristic
913D42—431no—
914#542—431no—
915#541—431no—
916#541—431no—
917#540—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#125—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#499—431no—
938#497—431no—
939#497C2×D4311yescharacteristic, complemented
940#492—431no—
941#491—431no—
942#491—431no—
943#490—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#484—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#477—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470C2×D4311yescharacteristic, complemented
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#465—431no—
981#465—431no—
982#465C2×D4311yescharacteristic, complemented
983#464—431no—
984#464—431no—
985#463—431no—
986#463C2×D4311yescharacteristic, complemented
987#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461—431no—
992#461C2×D4311yescharacteristic
993#460—431no—
994#459—431no—
995#452—431no—
996#452—431no—
997#452C2×D4311yescharacteristic
998#452C2×D4311yescharacteristic, complemented
999#450—431no—
1000#450—431no—
1001#450—431no—
1002#450C2×D4311yescharacteristic
1003#449—431no—
1004#449—431no—
1005#449—431no—
1006#449C2×D4311yescharacteristic, complemented
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442C2×D4311yescharacteristic
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435C2×D4311yescharacteristic, complemented
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150911yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C2×#41C22×D4311yescharacteristic
1063C2×#41C22×D4311yescharacteristic
1064C22×D4—431no—
1065C22×D4—861no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—861no—
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—864no—
1070#135—24no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
1073C2×Q16C22×D4311yescharacteristic
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16C22×D4311yescharacteristic
1080C2×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8C22×D4311yescharacteristic
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8C22×D4311yescharacteristic
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#126—431no—
1100#126—431no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#125—431no—
1112#125—431no—
1113#125—431no—
1114#125—431no—
1115#125—431no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125—861no—
1126#125—861no—
1127#125—861no—
1128#124—431no—
1129#124—431no—
1130#124—861no—
1131#124—861no—
1132#124C22×D4311yescharacteristic
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—431no—
1137#123—431no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8C22×D4311yescharacteristic
1173C22⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175#121—21no—
1176#121—21no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—431no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
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#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—21no—
1338C24—861no—
1339#41—22no—
1340#41—22no—
1341#41—22no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—862no—
1346#41—3442no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8C23×D4311yescharacteristic
1353C2×Q8C23×D4311yescharacteristic
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—862no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—3442no—
1374C2×D4—1721no—
1375C2×D4D4×D4311yescharacteristic
1376C2×D4C23×D4311yescharacteristic
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—3442no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—41no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—862no—
1420D8#1062190014yescomplemented
1421M16—22no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—22no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
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⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
1504C22⋊C4—431no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4D4×D4311yescharacteristic
1528C22⋊C4D4×D4311yescharacteristic
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—431no—
1552C23—861no—
1553C23—3441no—
1554C23—3441no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—1721no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—41no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—42no—
1578D4—81no—
1579D4—861no—
1580D4—861no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—1721no—
1586D4—1721no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4C2×#1062190012yes—
1591D4C2×#1062190012yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—1721no—
1635C2×C4—1721no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8C2×#1062190012yes—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—22no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—84no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—861no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C22×#1062190011yescharacteristic
1700C4#1458373411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—42no—
1705C2—81no—
1706C2—3441no—
1707C2—1721no—
1708C2D4×#1062190011yescharacteristic
1709C2#1914937211yescharacteristic
1710C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3267C2
socleC22×C43C23×D4
hypercenter#3267D43
hypocenterC43#61509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #19148560C2semidirect
2. #19148536C2semidirect
3. #19147645C2semidirect
4. #19147554C2semidirect
5. #19147380C2semidirect
6. #19147352C2semidirect
7. #19147165C2semidirect
8. #19147086C2semidirect
9. #19147037C2semidirect
10. #19146900C2semidirect
11. #19146811C2semidirect
12. #19146684C2semidirect
13. #19146669C2semidirect
14. #19146609C2semidirect
15. #19146564C2semidirect
16. #19146189C2semidirect
17. #19146120C2semidirect
18. #19145260C2semidirect
19. #19145216C2semidirect
20. #19145196C2semidirect
21. #19144854C2semidirect
22. #19144845C2semidirect
23. #19144802C2semidirect
24. #19144787C2semidirect
25. #19144705C2semidirect
26. #19144689C2semidirect
27. #19143574C2semidirect
28. #19143471C2semidirect
29. #19143424C2semidirect
30. AGL(1,ℤ/8)×Dic43C2semidirect
31. C43×#3267C2semidirect
34. #14583624C22semidirect
35. #14583608C22semidirect
36. #14583607C22semidirect
42. #14583589C22semidirect
51. #14583548C22semidirect
56. #14583510C22semidirect
57. #14583509C22semidirect
63. #14583451C22semidirect
71. #14583382C22semidirect
72. #14583378C22semidirect
74. #41×Dic43C22semidirect
76. #14583308C22semidirect
77. #14583306C22semidirect
78. #14583299C22semidirect
79. #14583292C22semidirect
81. #14583266C22semidirect
82. #14583266C22semidirect
84. #14583260C22semidirect
85. #14583253C22semidirect
86. #14583249C22semidirect
87. #14583239C22semidirect
88. #14583238C22semidirect
89. #14583237C22semidirect
90. #14583235C22semidirect
91. #14583233C22semidirect
92. #14583232C22semidirect
93. #14583232C22semidirect
94. #14583230C22semidirect
96. #14583215C22semidirect
97. #14583213C22semidirect
99. #14583208C22semidirect
100. #14583208C22semidirect
101. #14583204C22semidirect
103. #14583201C22semidirect
104. #14583200C22semidirect
106. #14583197C22semidirect
107. #14583195C22semidirect
108. #14583179C22semidirect
110. #14583177C22semidirect
111. #14583155C22semidirect
112. #14583154C22semidirect
114. #14583147C22semidirect
116. #14583143C22semidirect
118. #14583137C22semidirect
119. #14583128C22semidirect
121. #14583123C22semidirect
122. #14583118C22semidirect
123. #14583116C22semidirect
124. #14583107C22semidirect
127. #14583102C22semidirect
128. #14583101C22semidirect
132. #14583058C22semidirect
137. #14583044C22semidirect
139. #14583027C22semidirect
140. #14583026C22semidirect
142. #14583011C22semidirect
143. #14583008C22semidirect
144. #14583006C22semidirect
145. #14583002C22semidirect
146. #14583001C22semidirect
150. #14583000C22semidirect
151. #14583000C22semidirect
152. #14583000C22semidirect
153. #14583000C22semidirect
155. #14582996C22semidirect
156. Q16×Dic43C22semidirect
157. Q16×Dic43C22semidirect
158. #14582991C22semidirect
160. SD16×Dic43C22semidirect
161. #14582986C22semidirect
163. #14582984C22semidirect
166. D8×Dic43C22semidirect
167. C4×#10621882C22semidirect
168. #14582977C22semidirect
171. #14582973C22semidirect
172. #14582970C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
177. #14582938C22semidirect
178. C2×#13063259C22semidirect
181. #14582900C22semidirect
182. #14582900C22semidirect
183. #14582892C22semidirect
185. #14582856C22semidirect
186. #14582854C22semidirect
187. M16×Dic43C22semidirect
190. C43×#547C22semidirect
192. C43×#497C22semidirect
193. C43×#470C22semidirect
194. C43×#465C22semidirect
195. C43×#463C22semidirect
198. C43×#452C22semidirect
200. C43×#449C22semidirect
202. C43×#435C22semidirect
557. D8×C43#41semidirect
863. #3267D43semidirect
909. #547C2×D43semidirect
939. #497C2×D43semidirect
973. #470C2×D43semidirect
982. #465C2×D43semidirect
986. #463C2×D43semidirect
998. #452C2×D43semidirect
1006. #449C2×D43semidirect
1042. #435C2×D43semidirect
1058. C43#61509semidirect
1420. D8#10621900semidirect

Maximal subgroups

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

subgroupindex
#191485602
#191485362
#191476452
#191475542
#191473802
#191473522
#191471652
#191470862
#191470372
#191469002
#191468112
#191466842
#191466692
#191466092
#191465642
#191461892
#191461202
#191452602
#191452162
#191451962
#191448542
#191448452
#191448022
#191447872
#191447052
#191446892
#191435742
#191434712
#191434242
AGL(1,ℤ/8)×Dic432
C43×#32672
#6150943