Finite Group Databasebeta

← #25979631

Subgroups — #25979631

Order 11008.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148664C211yesmaximal, characteristic, complemented
2#19148648C211yesmaximal, characteristic, complemented
3#19147671C211yesmaximal, characteristic, complemented
4#19147554C211yesmaximal, characteristic, complemented
5#19147248C211yesmaximal, characteristic, complemented
6#19147239C211yesmaximal, characteristic, complemented
7#19147165C211yesmaximal, characteristic, complemented
8#19147146C211yesmaximal, characteristic, complemented
9#19147142C211yesmaximal, characteristic, complemented
10#19146512C211yesmaximal, characteristic, complemented
11#19146505C211yesmaximal, characteristic, complemented
12#19146445C211yesmaximal, characteristic, complemented
13#19146438C211yesmaximal, characteristic, complemented
14#19146434C211yesmaximal, characteristic, complemented
15#19146423C211yesmaximal, characteristic, complemented
16#19146200C211yesmaximal, characteristic, complemented
17#19146120C211yesmaximal, characteristic, complemented
18#19145264C211yesmaximal, characteristic, complemented
19#19145260C211yesmaximal, characteristic, complemented
20#19145158C211yesmaximal, characteristic, complemented
21#19144806C211yesmaximal, characteristic, complemented
22#19144802C211yesmaximal, characteristic, complemented
23#19144780C211yesmaximal, characteristic, complemented
24#19144778C211yesmaximal, characteristic, complemented
25#19144705C211yesmaximal, characteristic, complemented
26#19144697C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143428C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30#135×Dic43C211yesmaximal, characteristic, complemented
31C43×#3267C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33#14583623C2211yescharacteristic, complemented
34#14583620C2211yescharacteristic, complemented
35#14583619C2211yescharacteristic, complemented
36#14583618C2211yescharacteristic, complemented
37#14583608C2211yescharacteristic, complemented
38#14583606C2211yescharacteristic, complemented
39#14583601—21no—
40#14583596C2211yescharacteristic
41#14583595C2211yescharacteristic
42#14583592—21no—
43#14583591C2211yescharacteristic
44#14583586—21no—
45#14583584—21no—
46#14583583C2211yescharacteristic
47#14583580—21no—
48#14583575—21no—
49#14583572—21no—
50#14583572—21no—
51#14583548C2211yescharacteristic
52#14583543C2211yescharacteristic
53#14583537C2211yescharacteristic
54#14583537C2211yescharacteristic, complemented
55#14583522C2211yescharacteristic
56#14583518C2211yescharacteristic
57#14583510C2211yescharacteristic, complemented
58#14583509C2211yescharacteristic, complemented
59#14583494—21no—
60#14583493—21no—
61#14583486—21no—
62#14583484—21no—
63#14583435C2211yescharacteristic, complemented
64#14583430C2211yescharacteristic, complemented
65#14583429C2211yescharacteristic
66#14583426—21no—
67#14583426—21no—
68C2×#13063320—21no—
69C2×#13063318—21no—
70#14583382C2211yescharacteristic
71#14583378C2211yescharacteristic
72#14583374C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic, complemented
74#41×Dic43C2211yescharacteristic, complemented
75#41×Dic43C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583299C2211yescharacteristic, complemented
79#14583292C2211yescharacteristic, complemented
80#14583280C2211yescharacteristic
81#14583255C2211yescharacteristic, complemented
82#14583255C2211yescharacteristic, complemented
83#14583253C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583249C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic, complemented
93#14583230C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic
96#14583224C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic
98#14583220C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic, complemented
105#14583199C2211yescharacteristic, complemented
106#14583197C2211yescharacteristic, complemented
107#14583190C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583179C2211yescharacteristic, complemented
110#14583177C2211yescharacteristic, complemented
111#14583154C2211yescharacteristic, complemented
112#14583145C2211yescharacteristic
113#14583142C2211yescharacteristic
114#14583138C2211yescharacteristic, complemented
115#14583138C2211yescharacteristic, complemented
116#14583137C2211yescharacteristic, complemented
117#14583133C2211yescharacteristic
118#14583130C2211yescharacteristic
119#14583128C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic
121#14583123C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic
124#14583116C2211yescharacteristic
125#14583116C2211yescharacteristic
126#14583112C2211yescharacteristic
127#14583111C2211yescharacteristic
128#14583107C2211yescharacteristic, complemented
129#14583106C2211yescharacteristic, complemented
130#14583102C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic
132#14583061C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic
134#14583058C2211yescharacteristic
135#14583048C2211yescharacteristic, complemented
136#14583044C2211yescharacteristic
137#14583033C2211yescharacteristic
138#14583031C2211yescharacteristic
139#14583027C2211yescharacteristic, complemented
140#14583023C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic
142#14583011C2211yescharacteristic
143#14583008C2211yescharacteristic
144#14583006C2211yescharacteristic, complemented
145#14583003C2211yescharacteristic, complemented
146#14583002C2211yescharacteristic, complemented
147#14583001C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic, complemented
150#14583000C2211yescharacteristic, complemented
151#14582996C2211yescharacteristic, complemented
152Q16×Dic43C2211yescharacteristic, complemented
153Q16×Dic43C2211yescharacteristic, complemented
154#14582991C2211yescharacteristic, complemented
155SD16×Dic43C2211yescharacteristic, complemented
156SD16×Dic43C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic
164D8×Dic43C2211yescharacteristic
165D8×Dic43C2211yescharacteristic
166C4×#10621882C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582970C2211yescharacteristic, complemented
170D4×C43⋊C8C2211yescharacteristic, complemented
171(C22⋊D43)⋊C8C2211yescharacteristic
172(C22⋊D43)⋊C8C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582937C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic
180#14582895C2211yescharacteristic, complemented
181#14582895C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic
183C2×#13063246C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×#135×C43C2211yescharacteristic
190C43×#547C2211yescharacteristic
191C43×#546C2211yescharacteristic, complemented
192C43×#497C2211yescharacteristic, complemented
193C43×#470C2211yescharacteristic, complemented
194C43×#465C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#461C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#442C2211yescharacteristic
202C43×#435C2211yescharacteristic, complemented
203C2×#10621900C2311yescharacteristic
204C2×D4×D43C2311yescharacteristic
205#13063349—24no—
206C2×#10621885C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621873C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621884C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C22×C43⋊C8C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216C2×C8×D43C2311yescharacteristic
217#13063325C2311yescharacteristic
218#13063324C2311yescharacteristic
219#13063323C2311yescharacteristic
220#13063320—21no—
221#13063320—21no—
222#13063320—21no—
223#13063320—21no—
224#13063320—21no—
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#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318D411yescharacteristic
242#13063317C2311yescharacteristic
243#13063316—21no—
244#13063316—21no—
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315D411yescharacteristic
253#13063314C2311yescharacteristic
254#13063314C2311yescharacteristic
255#13063312—21no—
256#13063312C2311yescharacteristic
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311D411yescharacteristic
261#13063309—21no—
262#13063309—21no—
263#13063309—21no—
264#13063309D411yescharacteristic
265#13063308—21no—
266#13063308—21no—
267#13063308—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306D411yescharacteristic
276#13063305—21no—
277#13063305—21no—
278#13063304—21no—
279#13063304—21no—
280#13063304C2311yescharacteristic
281#13063304C2311yescharacteristic
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302D411yescharacteristic
289#13063301C2311yescharacteristic
290#13063301C2311yescharacteristic
291#13063301C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297D411yescharacteristic
300#13063296—21no—
301#13063296C2311yescharacteristic
302#13063294—21no—
303#13063293—21no—
304#13063293—21no—
305Q8×Dic43C2311yescharacteristic
306Q8×Dic43C2311yescharacteristic
307Q8×Dic43C2311yescharacteristic
308Q8×Dic43C2311yescharacteristic
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311C4×Dic86C2311yescharacteristic
312C4×Dic86C2311yescharacteristic
313#13063290—21no—
314#13063290—21no—
315#13063290C2311yescharacteristic
316C4×D172C2311yescharacteristic
317D4×Dic43—21no—
318D4×Dic43—21no—
319D4×Dic43—21no—
320D4×Dic43—21no—
321D4×Dic43—21no—
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43C2311yescharacteristic
327D4×Dic43C2311yescharacteristic
328D4×Dic43C2311yescharacteristic
329D4×Dic43C2311yescharacteristic
330D4×Dic43C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334#13063287C2311yescharacteristic
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43C2311yescharacteristic
338C4×C22⋊D43C2311yescharacteristic
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344#13063284—21no—
345#13063284—21no—
346#13063284—21no—
347#13063284C2311yescharacteristic
348#13063284C2311yescharacteristic
349#13063284C2311yescharacteristic
350#13063284C2311yescharacteristic
351#13063283—21no—
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⋊Dic43C2311yescharacteristic
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C2×Dic43⋊C4—21no—
366C4⋊C4×D43C2311yescharacteristic
367C2×C22⋊Dic43—21no—
368C2×C22⋊Dic43—21no—
369C2×C22⋊Dic43—21no—
370C2×(C2×D43)⋊C4—21no—
371C2×(C2×D43)⋊C4—21no—
372C2×(C2×D43)⋊C4—21no—
373C22⋊C4×D43—21no—
374C2×C4×Dic43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
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
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
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⋊D43C2×D411yescharacteristic
516C2×C22⋊D43C2×D411yescharacteristic
517C22×Dic43—21no—
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×Dic43—21no—
527C22×Dic43C2×D411yescharacteristic
528C22×Dic43C2×D411yescharacteristic
529#10621900—22no—
530#10621900—41no—
531D4×D43—22no—
532D4×D43—41no—
533C2×D172C2411yescharacteristic
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2411yescharacteristic
542Q16×C43—22no—
543Q16×C43—41no—
544SD16×C43—22no—
545SD16×C43—22no—
546SD16×C43—22no—
547SD16×C43—22no—
548SD16×C43—41no—
549D8×C43—22no—
550D8×C43#4114yes—
551M16×C43—22no—
552C2×C8×C43—22no—
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43C2×D411yescharacteristic
574C22⋊C4×C43C2×D411yescharacteristic
575C42×C43C2411yescharacteristic
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596#10621885—41no—
597#10621885—41no—
598#10621884—41no—
599#10621883—22no—
600#10621882—22no—
601#10621882—41no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618C4⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
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×Dic43—21no—
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8—41no—
678C2×C43⋊C8—41no—
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683#10621873—22no—
684#10621872—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—42no—
690C23×C43—81no—
691C23×C43—81no—
692C23×C43C22×D411yescharacteristic
693C23×C43C22×D411yescharacteristic
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—41no—
710D4×C43—42no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—42no—
714D4×C43—81no—
715D4×C43C2×#4112yes—
716D4×C43C2×#4112yes—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
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—21no—
726C2×C4×C43—42no—
727C2×C4×C43—42no—
728C2×C4×C43—42no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C2511yescharacteristic
736C22⋊D43—41no—
737C22⋊D43—41no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—41no—
751C2×Dic43—41no—
752C2×Dic43—42no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769D172—21no—
770D172—21no—
771C4×D43—21no—
772C4×D43—21no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776Dic86—21no—
777Dic86—21no—
778Dic86—41no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61501—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—22no—
795C22×C43—22no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—162no—
806C22×C43C23×D411yescharacteristic
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—162no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43C22×#4111yescharacteristic
824C4×C43#58511yescharacteristic
825Dic43—21no—
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839#3521—431no—
840#3521—431no—
841#3402—431no—
842#3389—431no—
843#3360—431no—
844#3360—431no—
845#3352—431no—
846#3350—431no—
847#3350—431no—
848#3302—431no—
849#3302—431no—
850#3297—431no—
851#3297—431no—
852#3296—431no—
853#3296—431no—
854#3273—431no—
855#3267—431no—
856#3267D4311yescharacteristic, complemented
857#3178—431no—
858#3178—431no—
859#3168—431no—
860#3120—431no—
861#3120—431no—
862#3118—431no—
863#3118—431no—
864#3111—431no—
865#3111—431no—
866#2966—431no—
867#2946—431no—
868#2946—431no—
869C4×#135—431no—
870C2×C43—42no—
871C2×C43—41no—
872C2×C43—41no—
873C2×C43—42no—
874C2×C43—81no—
875C2×C43D4×#4111yescharacteristic
876C2×C43#358411yescharacteristic
877C2×C43#358411yescharacteristic
878D43—41no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
882C2×#135C2×D4311yescharacteristic
883#556—431no—
884#556—431no—
885#556—431no—
886#556—431no—
887#554—431no—
888#554—431no—
889#553—431no—
890#553—431no—
891#553—861no—
892#553—861no—
893#552—431no—
894#552—431no—
895#552—861no—
896#552—861no—
897#551—861no—
898#551—861no—
899#551—861no—
900#551—861no—
901#547—431no—
902#547C2×D4311yescharacteristic
903#546—431no—
904#546—431no—
905#546—431no—
906#546C2×D4311yescharacteristic, complemented
907#542—431no—
908#542—431no—
909#541—431no—
910#541—431no—
911#539—861no—
912#539—861no—
913#538—861no—
914#538—861no—
915#529—431no—
916#529—431no—
917#529—431no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921C2×#126—861no—
922#520—431no—
923#520—431no—
924#518—431no—
925#518—431no—
926C4×#41—431no—
927C4×#41—431no—
928#501—431no—
929#501—431no—
930#499—431no—
931#497—431no—
932#497C2×D4311yescharacteristic, complemented
933#495—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#488—431no—
938#487—431no—
939#487—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#485—431no—
944#484—431no—
945#484—431no—
946#483—431no—
947#483—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#478—431no—
960#476—431no—
961#476—431no—
962#474—431no—
963#474—431no—
964#470—431no—
965#470C2×D4311yescharacteristic, complemented
966#468—431no—
967#468—431no—
968#467—431no—
969#467—431no—
970#467—431no—
971#466—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#465C2×D4311yescharacteristic, complemented
976#464—431no—
977#464—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#463C2×D4311yescharacteristic
984#462—431no—
985#462—431no—
986#461—431no—
987#461C2×D4311yescharacteristic, complemented
988#452—431no—
989#452—431no—
990#452—431no—
991#452—431no—
992#452C2×D4311yescharacteristic
993#452C2×D4311yescharacteristic, complemented
994#450—431no—
995#450C2×D4311yescharacteristic, complemented
996#449—431no—
997#449C2×D4311yescharacteristic
998#447—431no—
999#447—431no—
1000#446—431no—
1001C8×Q8—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442C2×D4311yescharacteristic
1006#441—431no—
1007#441—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013#440—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16—431no—
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029C4×D8—431no—
1030#436—431no—
1031#435—431no—
1032#435C2×D4311yescharacteristic, complemented
1033C8×D4—431no—
1034C8×D4—431no—
1035C8×D4—431no—
1036#433—431no—
1037#433—431no—
1038#432—431no—
1039#428—431no—
1040#428—431no—
1041#427—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045#416—431no—
1046C2×#102—431no—
1047C2×#102—431no—
1048#405—431no—
1049#405—431no—
1050C2×C4×C8—431no—
1051C43#6150111yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41C22×D4311yescharacteristic
1054C2×#41C22×D4311yescharacteristic
1055C2×#41C22×D4311yescharacteristic
1056C22×D4—431no—
1057C22×D4C22×D4311yescharacteristic
1058AGL(1,ℤ/8)—24no—
1059AGL(1,ℤ/8)—864no—
1060#135—24no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16C22×D4311yescharacteristic
1064C2×Q16C22×D4311yescharacteristic
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×SD16C22×D4311yescharacteristic
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8C22×D4311yescharacteristic
1076C2×D8C22×D4311yescharacteristic
1077C2×M16—431no—
1078C2×M16C22×D4311yescharacteristic
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C22×C8C22×D4311yescharacteristic
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8C22×D4311yescharacteristic
1087#126—431no—
1088#126—431no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
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#125—431no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—431no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—431no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124C22×D4311yescharacteristic
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—431no—
1133#123—431no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
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—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8C22×D4311yescharacteristic
1164C22⋊Q8C22×D4311yescharacteristic
1165C22⋊Q8C22×D4311yescharacteristic
1166#121—21no—
1167#121—21no—
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—431no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121C22×D4311yescharacteristic
1179#120—21no—
1180#120—861no—
1181#120—861no—
1182#120—861no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4C22×D4311yescharacteristic
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4—861no—
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42—861no—
1259C2×C42—861no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106C22×D4311yescharacteristic
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281C4⋊C8C22×D4311yescharacteristic
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
1299#102—431no—
1300#102—431no—
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#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313#102C22×D4311yescharacteristic
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8C22×D4311yescharacteristic
1319C22⋊C8C22×D4311yescharacteristic
1320#97—431no—
1321#97—431no—
1322#97—431no—
1323#97C22×D4311yescharacteristic
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8—431no—
1329C4×C8—431no—
1330C24—21no—
1331C24—861no—
1332#41—22no—
1333#41—22no—
1334#41—22no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—862no—
1339#41—1721no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8C23×D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—41no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—861no—
1358C2×D4—862no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—1721no—
1364C2×D4D4×D4311yescharacteristic
1365C2×D4C23×D4311yescharacteristic
1366C2×D4C23×D4311yescharacteristic
1367C2×D4C23×D4311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4C23×D4311yescharacteristic
1390C22×C4C23×D4311yescharacteristic
1391Q16—22no—
1392Q16—41no—
1393Q16—1721no—
1394Q16—1721no—
1395SD16—22no—
1396SD16—22no—
1397SD16—22no—
1398SD16—22no—
1399SD16—41no—
1400SD16—862no—
1401SD16—862no—
1402SD16—1721no—
1403D8—22no—
1404D8—862no—
1405D8—1721no—
1406D8#1062190014yes—
1407M16—22no—
1408M16—862no—
1409C2×C8—22no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—1721no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8C23×D4311yescharacteristic
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1516C22⋊C4D4×D4311yescharacteristic
1517C42—431no—
1518C42—431no—
1519C42—431no—
1520C42—431no—
1521C42—431no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42C23×D4311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—81no—
1540C23—81no—
1541C23—431no—
1542C23—861no—
1543C23—3441no—
1544C23—3441no—
1545C23—1722no—
1546C23C2×D4×D4311yescharacteristic
1547C23C2×D4×D4311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—861no—
1555Q8—861no—
1556Q8—3441no—
1557Q8—3441no—
1558Q8—1721no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—41no—
1564D4—42no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—81no—
1569D4—861no—
1570D4—861no—
1571D4—3441no—
1572D4—3441no—
1573D4—3441no—
1574D4—1721no—
1575D4—1721no—
1576D4—1722no—
1577D4—1722no—
1578D4C2×#1062190012yes—
1579D4C2×#1062190012yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—431no—
1600C2×C4—431no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—3441no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—1721no—
1623C2×C4—1721no—
1624C2×C4—1722no—
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C2×D4×D4311yescharacteristic
1629C2×C4C24×D4311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8—861no—
1637C8C2×#1062190012yes—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—22no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—162no—
1654C22—861no—
1655C22—861no—
1656C22—861no—
1657C22—1721no—
1658C22—1721no—
1659C22—1721no—
1660C22—6882no—
1661C22C22×D4×D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—861no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4C22×#1062190011yescharacteristic
1686C4#1458373411yescharacteristic
1687C2—41no—
1688C2—41no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2—3441no—
1693C2—1721no—
1694C2D4×#1062190011yescharacteristic
1695C2#1914936711yescharacteristic
1696C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3267C2
socleC22×C43C23×D4
hypercenter#3267D43
hypocenterC43#61501
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. #19148664C2semidirect
2. #19148648C2semidirect
3. #19147671C2semidirect
4. #19147554C2semidirect
5. #19147248C2semidirect
6. #19147239C2semidirect
7. #19147165C2semidirect
8. #19147146C2semidirect
9. #19147142C2semidirect
10. #19146512C2semidirect
11. #19146505C2semidirect
12. #19146445C2semidirect
13. #19146438C2semidirect
14. #19146434C2semidirect
15. #19146423C2semidirect
16. #19146200C2semidirect
17. #19146120C2semidirect
18. #19145264C2semidirect
19. #19145260C2semidirect
20. #19145158C2semidirect
21. #19144806C2semidirect
22. #19144802C2semidirect
23. #19144780C2semidirect
24. #19144778C2semidirect
25. #19144705C2semidirect
26. #19144697C2semidirect
27. #19143565C2semidirect
28. #19143428C2semidirect
29. #19143424C2semidirect
30. #135×Dic43C2semidirect
31. C43×#3267C2semidirect
33. #14583623C22semidirect
34. #14583620C22semidirect
35. #14583619C22semidirect
36. #14583618C22semidirect
37. #14583608C22semidirect
38. #14583606C22semidirect
54. #14583537C22semidirect
57. #14583510C22semidirect
58. #14583509C22semidirect
63. #14583435C22semidirect
64. #14583430C22semidirect
72. #14583374C22semidirect
73. #14583371C22semidirect
74. #41×Dic43C22semidirect
75. #41×Dic43C22semidirect
76. #14583308C22semidirect
77. #14583306C22semidirect
78. #14583299C22semidirect
79. #14583292C22semidirect
81. #14583255C22semidirect
82. #14583255C22semidirect
83. #14583253C22semidirect
84. #14583252C22semidirect
85. #14583249C22semidirect
86. #14583248C22semidirect
87. #14583241C22semidirect
88. #14583238C22semidirect
89. #14583237C22semidirect
90. #14583237C22semidirect
91. #14583233C22semidirect
92. #14583232C22semidirect
93. #14583230C22semidirect
94. #14583228C22semidirect
96. #14583224C22semidirect
98. #14583220C22semidirect
99. #14583208C22semidirect
100. #14583207C22semidirect
101. #14583204C22semidirect
102. #14583204C22semidirect
103. #14583201C22semidirect
104. #14583201C22semidirect
105. #14583199C22semidirect
106. #14583197C22semidirect
107. #14583190C22semidirect
108. #14583187C22semidirect
109. #14583179C22semidirect
110. #14583177C22semidirect
111. #14583154C22semidirect
114. #14583138C22semidirect
115. #14583138C22semidirect
116. #14583137C22semidirect
119. #14583128C22semidirect
121. #14583123C22semidirect
122. #14583119C22semidirect
128. #14583107C22semidirect
129. #14583106C22semidirect
130. #14583102C22semidirect
132. #14583061C22semidirect
135. #14583048C22semidirect
139. #14583027C22semidirect
140. #14583023C22semidirect
144. #14583006C22semidirect
145. #14583003C22semidirect
146. #14583002C22semidirect
147. #14583001C22semidirect
148. #14583000C22semidirect
149. #14583000C22semidirect
150. #14583000C22semidirect
151. #14582996C22semidirect
152. Q16×Dic43C22semidirect
153. Q16×Dic43C22semidirect
154. #14582991C22semidirect
155. SD16×Dic43C22semidirect
156. SD16×Dic43C22semidirect
157. SD16×Dic43C22semidirect
158. SD16×Dic43C22semidirect
159. SD16×Dic43C22semidirect
160. SD16×Dic43C22semidirect
161. #14582986C22semidirect
162. C4×#10621883C22semidirect
169. #14582970C22semidirect
170. D4×C43⋊C8C22semidirect
172. (C22⋊D43)⋊C8C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
177. #14582938C22semidirect
178. #14582937C22semidirect
180. #14582895C22semidirect
181. #14582895C22semidirect
183. C2×#13063246C22semidirect
184. #102×D43C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
187. C2×C8×Dic43C22semidirect
191. C43×#546C22semidirect
192. C43×#497C22semidirect
193. C43×#470C22semidirect
194. C43×#465C22semidirect
196. C43×#461C22semidirect
198. C43×#452C22semidirect
199. C43×#450C22semidirect
202. C43×#435C22semidirect
856. #3267D43semidirect
906. #546C2×D43semidirect
932. #497C2×D43semidirect
965. #470C2×D43semidirect
975. #465C2×D43semidirect
987. #461C2×D43semidirect
993. #452C2×D43semidirect
995. #450C2×D43semidirect
1032. #435C2×D43semidirect
1051. C43#61501semidirect

Maximal subgroups

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

subgroupindex
#191486642
#191486482
#191476712
#191475542
#191472482
#191472392
#191471652
#191471462
#191471422
#191465122
#191465052
#191464452
#191464382
#191464342
#191464232
#191462002
#191461202
#191452642
#191452602
#191451582
#191448062
#191448022
#191447802
#191447782
#191447052
#191446972
#191435652
#191434282
#191434242
#135×Dic432
C43×#32672
#6150143