Finite Group Databasebeta

← #25979508

Subgroups — #25979508

Order 11008.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148631C211yesmaximal, characteristic, complemented
2#19148614C211yesmaximal, characteristic, complemented
3#19147612C211yesmaximal, characteristic, complemented
4#19147495C211yesmaximal, characteristic, complemented
5#19147239C211yesmaximal, characteristic, complemented
6#19147225C211yesmaximal, characteristic, complemented
7#19147185C211yesmaximal, characteristic, complemented
8#19147086C211yesmaximal, characteristic, complemented
9#19147082C211yesmaximal, characteristic, complemented
10#19146516C211yesmaximal, characteristic, complemented
11#19146449C211yesmaximal, characteristic, complemented
12#19146445C211yesmaximal, characteristic, complemented
13#19146419C211yesmaximal, characteristic, complemented
14#19146412C211yesmaximal, characteristic, complemented
15#19146401C211yesmaximal, characteristic, complemented
16#19146189C211yesmaximal, characteristic, complemented
17#19146075C211yesmaximal, characteristic, complemented
18#19145279C211yesmaximal, characteristic, complemented
19#19145275C211yesmaximal, characteristic, complemented
20#19145149C211yesmaximal, characteristic, complemented
21#19144791C211yesmaximal, characteristic, complemented
22#19144787C211yesmaximal, characteristic, complemented
23#19144776C211yesmaximal, characteristic, complemented
24#19144772C211yesmaximal, characteristic, complemented
25#19144689C211yesmaximal, characteristic, complemented
26#19144681C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143428C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C2×D8×Dic43C211yesmaximal, characteristic, complemented
31C43×#3264C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33#14583618C2211yescharacteristic, complemented
34#14583613C2211yescharacteristic, complemented
35#14583608C2211yescharacteristic, complemented
36#14583607C2211yescharacteristic, complemented
37#14583606C2211yescharacteristic, complemented
38#14583601C2211yescharacteristic
39#14583595C2211yescharacteristic
40#14583592—21no—
41#14583586—21no—
42#14583580—21no—
43#14583575—21no—
44#14583569C2211yescharacteristic, complemented
45D4×Dic86C2211yescharacteristic, complemented
46#14583555—21no—
47#14583549C2211yescharacteristic, complemented
48#14583548C2211yescharacteristic, complemented
49#14583543—21no—
50#14583543C2211yescharacteristic, complemented
51#14583536—21no—
52#14583536—21no—
53D4×C22⋊D43C2211yescharacteristic
54D4×C22⋊D43C2211yescharacteristic, complemented
55#14583518C2211yescharacteristic, complemented
56#14583516C2211yescharacteristic, complemented
57#14583503C2211yescharacteristic, complemented
58#14583502C2211yescharacteristic, complemented
59#14583494—21no—
60#14583493—21no—
61#14583486—21no—
62#14583484—21no—
63#14583451C2211yescharacteristic, complemented
64#14583444C2211yescharacteristic
65#14583429C2211yescharacteristic
66#14583405—21no—
67#14583405—21no—
68C2×#13063302—21no—
69C2×#13063297—21no—
70#14583382C2211yescharacteristic, complemented
71#14583378C2211yescharacteristic, complemented
72#14583374C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic, complemented
74C2×D4×Dic43C2211yescharacteristic
75C2×D4×Dic43C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583296C2211yescharacteristic, complemented
79#14583287C2211yescharacteristic, complemented
80#14583270C2211yescharacteristic, complemented
81#14583253C2211yescharacteristic, complemented
82#14583252C2211yescharacteristic, complemented
83#14583248C2211yescharacteristic, complemented
84#14583245C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583239C2211yescharacteristic, complemented
89#14583235C2211yescharacteristic, complemented
90#14583232C2211yescharacteristic, complemented
91#14583221C2211yescharacteristic, complemented
92#14583220C2211yescharacteristic, complemented
93#14583218C2211yescharacteristic, complemented
94#14583216C2211yescharacteristic, complemented
95#14583215C2211yescharacteristic, complemented
96#14583215C2211yescharacteristic, complemented
97#14583213C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583199C2211yescharacteristic, complemented
102#14583197C2211yescharacteristic, complemented
103#14583189C2211yescharacteristic, complemented
104#14583187C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583180C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583177C2211yescharacteristic, complemented
111#14583149C2211yescharacteristic, complemented
112#14583145C2211yescharacteristic, complemented
113#14583142C2211yescharacteristic, complemented
114#14583133C2211yescharacteristic, complemented
115#14583132C2211yescharacteristic, complemented
116#14583130C2211yescharacteristic, complemented
117#14583128C2211yescharacteristic, complemented
118#14583126C2211yescharacteristic, complemented
119#14583126C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583112C2211yescharacteristic
122#14583112C2211yescharacteristic, complemented
123#14583111C2211yescharacteristic, complemented
124#14583102C2211yescharacteristic, complemented
125#14583102C2211yescharacteristic, complemented
126#14583097C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583092C2211yescharacteristic, complemented
129#14583092C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic, complemented
131#14583050C2211yescharacteristic
132#14583050C2211yescharacteristic, complemented
133#14583048C2211yescharacteristic, complemented
134#14583044C2211yescharacteristic, complemented
135#14583041C2211yescharacteristic, complemented
136#14583041C2211yescharacteristic, complemented
137#14583033C2211yescharacteristic, complemented
138#14583031C2211yescharacteristic
139#14583027C2211yescharacteristic, complemented
140#14583023C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic
142#14583011C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583008C2211yescharacteristic, complemented
145#14583008C2211yescharacteristic, complemented
146#14583001C2211yescharacteristic, complemented
147#14583000C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic, complemented
150#14582996C2211yescharacteristic, complemented
151#14582996C2211yescharacteristic, complemented
152#14582990C2211yescharacteristic, complemented
153SD16×Dic43C2211yescharacteristic, complemented
154SD16×Dic43C2211yescharacteristic, complemented
155#14582986C2211yescharacteristic, complemented
156C4×#10621883C2211yescharacteristic, complemented
157#14582984C2211yescharacteristic, complemented
158D8×Dic43C2211yescharacteristic
159D8×Dic43C2211yescharacteristic
160D8×Dic43C2211yescharacteristic
161D8×Dic43C2211yescharacteristic
162D8×Dic43C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic, complemented
166D8×Dic43C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic, complemented
168#14582975C2211yescharacteristic, complemented
169#14582970C2211yescharacteristic, complemented
170D4×C43⋊C8C2211yescharacteristic, complemented
171(C22⋊D43)⋊C8C2211yescharacteristic, complemented
172(C22⋊D43)⋊C8C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178C2×#13063259C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181C2×#13063246C2211yescharacteristic
182C2×#13063246C2211yescharacteristic, complemented
183C2×#13063246C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C22×D8×C43C2211yescharacteristic
190C43×#546C2211yescharacteristic, complemented
191D42×C43C2211yescharacteristic
192C43×#496C2211yescharacteristic, complemented
193C43×#469C2211yescharacteristic, complemented
194C43×#465C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#459C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic
198C43×#449C2211yescharacteristic, complemented
199C43×#447C2211yescharacteristic
200C43×#447C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic
202C43×#435C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C22×Dic86—21no—
208C22×C22⋊D43—21no—
209C22×C22⋊D43—21no—
210C2×D4×D43C2311yescharacteristic
211C23×Dic43—21no—
212C23×Dic43—21no—
213#13063349—24no—
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C22×C43⋊C8C2311yescharacteristic
223C22×C43⋊C8C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063325C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063323C2311yescharacteristic
230#13063321C2311yescharacteristic
231#13063321C2311yescharacteristic
232#13063320—21no—
233#13063320D411yescharacteristic
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318D411yescharacteristic
240#13063317C2311yescharacteristic
241#13063316—21no—
242#13063316C2311yescharacteristic
243#13063315—21no—
244#13063315—21no—
245#13063315D411yescharacteristic
246#13063312—21no—
247#13063312—21no—
248#13063312C2311yescharacteristic
249#13063311—21no—
250#13063311—21no—
251#13063311—21no—
252#13063311D411yescharacteristic
253#13063309—21no—
254#13063309—21no—
255#13063309—21no—
256#13063309D411yescharacteristic
257#13063308—21no—
258#13063307—21no—
259#13063307—21no—
260#13063307—21no—
261#13063306—21no—
262#13063306—21no—
263#13063306—21no—
264#13063306—21no—
265#13063306—21no—
266#13063306—21no—
267#13063306D411yescharacteristic
268#13063305—21no—
269#13063304—21no—
270#13063304—21no—
271#13063304C2311yescharacteristic
272#13063304C2311yescharacteristic
273#13063302—21no—
274#13063302—21no—
275#13063302—21no—
276#13063302—21no—
277#13063302—21no—
278#13063302—21no—
279#13063302—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302D411yescharacteristic
286#13063301C2311yescharacteristic
287#13063299C2311yescharacteristic
288#13063299C2311yescharacteristic
289#13063297—21no—
290#13063297—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297D411yescharacteristic
303#13063296—21no—
304#13063296—21no—
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063294—21no—
309#13063294—21no—
310#13063294—21no—
311#13063293—21no—
312#13063293—21no—
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
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×Dic43—21no—
330D4×Dic43C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287C2311yescharacteristic
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43C2311yescharacteristic
346C4×C22⋊D43C2311yescharacteristic
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352#13063284—21no—
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063282C2311yescharacteristic
357#13063281—21no—
358#13063281—21no—
359#13063281—21no—
360#13063281—21no—
361C2×C4⋊Dic43—21no—
362C2×C4⋊Dic43C2311yescharacteristic
363C2×C4⋊Dic43C2311yescharacteristic
364C2×C4⋊Dic43C2311yescharacteristic
365C2×Dic43⋊C4—21no—
366C2×Dic43⋊C4—21no—
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43C2311yescharacteristic
369C2×C22⋊Dic43—21no—
370C2×C22⋊Dic43—21no—
371C2×C22⋊Dic43—21no—
372C2×C22⋊Dic43—21no—
373C2×C22⋊Dic43—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
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#13063248C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063246C2311yescharacteristic
408#13063246C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
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
437C22×D4×C43—21no—
438C22×D4×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441AGL(1,ℤ/8)×C43—24no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×D8×C43—24no—
446C2×D8×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453C22×C8×C43C2311yescharacteristic
454#127×C43C2311yescharacteristic
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#120×C43—21no—
464#120×C43—21no—
465#120×C43—21no—
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C24×C43—21no—
484C23×D43—21no—
485#41×C43—22no—
486#41×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
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—22no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43—41no—
502C2×D4×C43—41no—
503C2×D4×C43—82no—
504C2×D4×C43C2×D411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—82no—
527C2×C22⋊D43—82no—
528C2×C22⋊D43C2×D411yescharacteristic
529C2×C22⋊D43C2×D411yescharacteristic
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—21no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43—82no—
547C22×Dic43—82no—
548C22×Dic43C2×D411yescharacteristic
549C22×Dic43C2×D411yescharacteristic
550#10621900—22no—
551#10621900—41no—
552#10621900—82no—
553#10621900—82no—
554#10621900—82no—
555D4×D43—22no—
556D4×D43—41no—
557C2×D172C2411yescharacteristic
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—82no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569SD16×C43—22no—
570SD16×C43—22no—
571SD16×C43—41no—
572D8×C43—22no—
573D8×C43—22no—
574D8×C43—22no—
575D8×C43—22no—
576D8×C43—41no—
577D8×C43#4114yescomplemented
578M16×C43—22no—
579C2×C8×C43—22no—
580C2×C8×C43C2411yescharacteristic
581C2×C8×C43C2411yescharacteristic
582C2×C8×C43C2411yescharacteristic
583C2×C8×C43C2411yescharacteristic
584C4⋊C4×C43—21no—
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C42×C43C2411yescharacteristic
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616C22⋊Dic43—21no—
617C22⋊Dic43—21no—
618C22⋊Dic43—21no—
619C22⋊Dic43C2×D411yescharacteristic
620C22⋊Dic43C2×D411yescharacteristic
621C22⋊Dic43C2×D411yescharacteristic
622C22⋊Dic43C2×D411yescharacteristic
623#10621884—41no—
624#10621883—22no—
625#10621883—41no—
626#10621883—41no—
627#10621882—22no—
628#10621882—41no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43C2×D411yescharacteristic
682C4×Dic43C2×D411yescharacteristic
683C4×Dic43C2411yescharacteristic
684C4×Dic43C2411yescharacteristic
685C4×Dic43C2411yescharacteristic
686C2×C43⋊C8—41no—
687C2×C43⋊C8—41no—
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692#10621873—22no—
693#10621872—22no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—21no—
699C23×C43—21no—
700C23×C43—42no—
701C23×C43—42no—
702C23×C43—42no—
703C23×C43—42no—
704C23×C43—42no—
705C23×C43—81no—
706C23×C43—81no—
707C23×C43—81no—
708C23×C43—81no—
709C23×C43C22×D411yescharacteristic
710C23×C43C22×D411yescharacteristic
711C22×D43—21no—
712C22×D43—42no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43C22×D411yescharacteristic
716Q8×C43—21no—
717Q8×C43—21no—
718D4×C43—22no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—42no—
728D4×C43—42no—
729D4×C43—42no—
730D4×C43—42no—
731D4×C43—42no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43—81no—
735D4×C43—81no—
736D4×C43C2×#4112yes—
737D4×C43C2×#4112yes—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—42no—
746C2×C4×C43—81no—
747C2×C4×C43—81no—
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C2511yescharacteristic
753C22⋊D43—22no—
754C22⋊D43—22no—
755C22⋊D43—42no—
756C22⋊D43—42no—
757C22⋊D43—42no—
758C22⋊D43—42no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C2×Dic43—22no—
767C2×Dic43—22no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—42no—
776C2×Dic43—42no—
777C2×Dic43—42no—
778C2×Dic43—42no—
779C2×Dic43—42no—
780C2×Dic43—81no—
781C2×Dic43—81no—
782C2×Dic43—81no—
783C2×Dic43—81no—
784C2×Dic43—81no—
785C2×Dic43—81no—
786C2×Dic43—81no—
787C2×Dic43—81no—
788C2×Dic43—81no—
789C2×Dic43—81no—
790C2×Dic43—81no—
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794C2×Dic43C22×D411yescharacteristic
795C2×Dic43C22×D411yescharacteristic
796C2×Dic43C22×D411yescharacteristic
797C2×Dic43C22×D411yescharacteristic
798D172—21no—
799D172—21no—
800C4×D43—21no—
801C4×D43—21no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805Dic86—22no—
806Dic86—21no—
807Dic86—21no—
808Dic86—42no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#61496—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—22no—
824C22×C43—22no—
825C22×C43—21no—
826C22×C43—21no—
827C22×C43—21no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—84no—
842C22×C43—84no—
843C22×C43—162no—
844C22×C43#57712yes—
845C22×C43C23×D411yescharacteristic
846C2×D43—21no—
847C2×D43—21no—
848C2×D43—21no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—162no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43C22×#4111yescharacteristic
861C4×C43#58511yescharacteristic
862Dic43—21no—
863Dic43—21no—
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—41no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43—41no—
875Dic43#57612yes—
876#3520—431no—
877#3519—431no—
878#3397—431no—
879#3384—431no—
880#3360—431no—
881#3358—431no—
882#3354—431no—
883#3346—431no—
884#3346—431no—
885#3303—431no—
886#3297—431no—
887#3297—431no—
888#3295—431no—
889#3295—431no—
890#3294—431no—
891#3272—431no—
892#3264—431no—
893#3264D4311yescharacteristic, complemented
894#3179—431no—
895#3179—431no—
896#3167—431no—
897#3119—431no—
898#3119—431no—
899#3118—431no—
900#3118—431no—
901#3110—431no—
902#3109—431no—
903#2966—431no—
904#2946—431no—
905#2946—431no—
906C2×C4×D8—431no—
907C2×C43—22no—
908C2×C43—42no—
909C2×C43—41no—
910C2×C43—42no—
911C2×C43—81no—
912C2×C43—81no—
913C2×C43—81no—
914C2×C43D4×#4111yescharacteristic
915C2×C43C2×#57611yescharacteristic
916C2×C43C2×#57711yescharacteristic
917D43—41no—
918D43—81no—
919C2×AGL(1,ℤ/8)—431no—
920C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
921C22×D8C2×D4311yescharacteristic
922#556—431no—
923#555—431no—
924#554—431no—
925#554—431no—
926#554—431no—
927#553—431no—
928#553—431no—
929#553—861no—
930#552—861no—
931#551—861no—
932#551—861no—
933#550—431no—
934D4×Q8—431no—
935#548—861no—
936#547—431no—
937#547—431no—
938#546—431no—
939#546—861no—
940#546—861no—
941#546—861no—
942#546C2×D4311yescharacteristic, complemented
943D42—431no—
944D42—431no—
945D42C2×D4311yescharacteristic
946#542—431no—
947#542—431no—
948#540—431no—
949#540—431no—
950#539—861no—
951#539—861no—
952#538—861no—
953#538—861no—
954#533—431no—
955#532—431no—
956#529—431no—
957#525—861no—
958#525—861no—
959C2×C22⋊Q8—861no—
960C2×#121—861no—
961#520—431no—
962#520—431no—
963#518—431no—
964#518—431no—
965C2×C4×D4—431no—
966C2×C4×D4—431no—
967#501—431no—
968#501—431no—
969#498—431no—
970#496—431no—
971#496C2×D4311yescharacteristic, complemented
972#492—431no—
973#488—431no—
974#488—431no—
975#487—431no—
976#486—431no—
977#486—431no—
978#486—431no—
979#485—431no—
980#485—431no—
981#484—431no—
982#484—431no—
983#482—431no—
984#482—431no—
985#481—431no—
986#481—431no—
987#481—431no—
988#481—431no—
989#480—431no—
990#480—431no—
991#479—431no—
992#479—431no—
993#478—431no—
994#478—431no—
995#476—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#474—431no—
1000#474—431no—
1001#474—431no—
1002#474—431no—
1003#469—431no—
1004#469C2×D4311yescharacteristic, complemented
1005#468—431no—
1006#468—431no—
1007#466—431no—
1008#466—431no—
1009#465—431no—
1010#465—431no—
1011#465—431no—
1012#465—431no—
1013#465—431no—
1014#465C2×D4311yescharacteristic, complemented
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#463C2×D4311yescharacteristic
1019#461—431no—
1020#461—431no—
1021#460—431no—
1022#460—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#459C2×D4311yescharacteristic, complemented
1027#450—431no—
1028#450—431no—
1029#450—431no—
1030#450C2×D4311yescharacteristic
1031#449—431no—
1032#449—431no—
1033#449—431no—
1034#449C2×D4311yescharacteristic, complemented
1035#447—431no—
1036#447—431no—
1037#447C2×D4311yescharacteristic
1038#447C2×D4311yescharacteristic, complemented
1039#446—431no—
1040C8×Q8—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442—431no—
1046#442C2×D4311yescharacteristic
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052#440—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8—431no—
1068C4×D8—431no—
1069#436—431no—
1070#435—431no—
1071#435C2×D4311yescharacteristic, complemented
1072C8×D4—431no—
1073C8×D4—431no—
1074C8×D4—431no—
1075#433—431no—
1076#433—431no—
1077#432—431no—
1078#428—431no—
1079#428—431no—
1080C2×#107—431no—
1081#416—431no—
1082#416—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086C2×#102—431no—
1087#405—431no—
1088#405—431no—
1089C2×C4×C8—431no—
1090C43#6149611yescharacteristic, complemented, Sylow
1091C2×#41—431no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41C22×D4311yescharacteristic
1096C22×Q8—861no—
1097C22×D4—21no—
1098C22×D4—431no—
1099C22×D4—861no—
1100C22×D4—861no—
1101C22×D4C22×D4311yescharacteristic
1102C22×D4C22×D4311yescharacteristic
1103C22×D4C22×D4311yescharacteristic
1104C23×C4—861no—
1105C23×C4—861no—
1106AGL(1,ℤ/8)—24no—
1107AGL(1,ℤ/8)—864no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16C22×D4311yescharacteristic
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—24no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8C22×D4311yescharacteristic
1120C2×D8C22×D4311yescharacteristic
1121C2×D8C22×D4311yescharacteristic
1122C2×D8C22×D4311yescharacteristic
1123C2×D8C22×D4311yescharacteristic
1124C2×D8C22×D4311yescharacteristic
1125C2×M16—431no—
1126C2×M16C22×D4311yescharacteristic
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8C22×D4311yescharacteristic
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—431no—
1135C4⋊Q8—431no—
1136#127—431no—
1137#127—431no—
1138#127C22×D4311yescharacteristic
1139#126—431no—
1140#126—431no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#125—431no—
1148#125—431no—
1149#125—431no—
1150#125—861no—
1151#125—861no—
1152#125—861no—
1153#124—431no—
1154#124—431no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124C22×D4311yescharacteristic
1161#123—21no—
1162#123—431no—
1163#123—431no—
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—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8C22×D4311yescharacteristic
1197#121—21no—
1198#121—21no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121C22×D4311yescharacteristic
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#120—21no—
1224#120—21no—
1225#120—21no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230#120—861no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—861no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4C22×D4311yescharacteristic
1271C4×D4C22×D4311yescharacteristic
1272C4×D4C22×D4311yescharacteristic
1273#117—431no—
1274#117—431no—
1275#117—431no—
1276#117—431no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280#117—861no—
1281#117—861no—
1282C2×C4⋊C4—431no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—861no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4—861no—
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C42—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107—431no—
1305#107—431no—
1306#107—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106—431no—
1313#106—431no—
1314#106C22×D4311yescharacteristic
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8—431no—
1320C4⋊C8C22×D4311yescharacteristic
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103C22×D4311yescharacteristic
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102—431no—
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8C22×D4311yescharacteristic
1358C22⋊C8C22×D4311yescharacteristic
1359#97—431no—
1360#97—431no—
1361#97—431no—
1362#97C22×D4311yescharacteristic
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C4×C8—431no—
1369C24—21no—
1370C24—21no—
1371C24—21no—
1372C24—861no—
1373#41—22no—
1374#41—41no—
1375#41—862no—
1376#41—3442no—
1377#41—3442no—
1378#41—3442no—
1379#41—1721no—
1380C2×Q8—431no—
1381C2×Q8—431no—
1382C2×Q8—861no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—3442no—
1387C2×Q8C23×D4311yescharacteristic
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—82no—
1404C2×D4—431no—
1405C2×D4—431no—
1406C2×D4—431no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—862no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—3442no—
1420C2×D4—3442no—
1421C2×D4—1721no—
1422C2×D4D4×D4311yescharacteristic
1423C2×D4C23×D4311yescharacteristic
1424C2×D4C23×D4311yescharacteristic
1425C2×D4C23×D4311yescharacteristic
1426C2×D4C23×D4311yescharacteristic
1427C2×D4C23×D4311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—3442no—
1454C22×C4—3442no—
1455C22×C4C23×D4311yescharacteristic
1456C22×C4C23×D4311yescharacteristic
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—862no—
1461SD16—862no—
1462SD16—1721no—
1463SD16—1721no—
1464SD16—1721no—
1465D8—22no—
1466D8—22no—
1467D8—22no—
1468D8—22no—
1469D8—41no—
1470D8—862no—
1471D8—1721no—
1472D8#1062190014yescomplemented
1473M16—22no—
1474M16—862no—
1475C2×C8—22no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—1721no—
1481C2×C8—1721no—
1482C2×C8—1721no—
1483C2×C8C23×D4311yescharacteristic
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4D4×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C4⋊C4C23×D4311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—431no—
1542C22⋊C4—431no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4D4×D4311yescharacteristic
1570C22⋊C4D4×D4311yescharacteristic
1571C42—431no—
1572C42—431no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42—861no—
1582C42C23×D4311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—42no—
1590C23—42no—
1591C23—42no—
1592C23—42no—
1593C23—81no—
1594C23—81no—
1595C23—81no—
1596C23—81no—
1597C23—431no—
1598C23—861no—
1599C23—3441no—
1600C23—3441no—
1601C23—1722no—
1602C23C2×D4×D4311yescharacteristic
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—862no—
1607Q8—861no—
1608Q8—861no—
1609Q8—3441no—
1610Q8—3441no—
1611Q8—3441no—
1612Q8—1722no—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—42no—
1623D4—42no—
1624D4—42no—
1625D4—42no—
1626D4—42no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—862no—
1632D4—862no—
1633D4—861no—
1634D4—861no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—3441no—
1641D4—3441no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4C2×#1062190012yes—
1647D4C2×#1062190012yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—431no—
1659C2×C4—431no—
1660C2×C4—431no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—862no—
1666C2×C4—862no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—3441no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
1694C2×C4—1722no—
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C2×D4×D4311yescharacteristic
1699C2×C4C24×D4311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8—861no—
1707C8C2×#1062190012yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—84no—
1729C22—84no—
1730C22—162no—
1731C22—861no—
1732C22—861no—
1733C22—861no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—6882no—
1738C22#1458370912yes—
1739C22C22×D4×D4311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—432no—
1748C4—861no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4—1721no—
1760C4—1721no—
1761C4C22×#1062190011yescharacteristic
1762C4#1458373411yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—42no—
1767C2—81no—
1768C2—81no—
1769C2—81no—
1770C2—3441no—
1771C2—1721no—
1772C2D4×#1062190011yescharacteristic
1773C2#576×D4311yescharacteristic
1774C2C2×#1458370911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3264C2
socleC22×C43C23×D4
hypercenter#3264D43
hypocenterC43#61496
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #19148631C2semidirect
2. #19148614C2semidirect
3. #19147612C2semidirect
4. #19147495C2semidirect
5. #19147239C2semidirect
6. #19147225C2semidirect
7. #19147185C2semidirect
8. #19147086C2semidirect
9. #19147082C2semidirect
10. #19146516C2semidirect
11. #19146449C2semidirect
12. #19146445C2semidirect
13. #19146419C2semidirect
14. #19146412C2semidirect
15. #19146401C2semidirect
16. #19146189C2semidirect
17. #19146075C2semidirect
18. #19145279C2semidirect
19. #19145275C2semidirect
20. #19145149C2semidirect
21. #19144791C2semidirect
22. #19144787C2semidirect
23. #19144776C2semidirect
24. #19144772C2semidirect
25. #19144689C2semidirect
26. #19144681C2semidirect
27. #19143565C2semidirect
28. #19143428C2semidirect
29. #19143424C2semidirect
30. C2×D8×Dic43C2semidirect
31. C43×#3264C2semidirect
33. #14583618C22semidirect
34. #14583613C22semidirect
35. #14583608C22semidirect
36. #14583607C22semidirect
37. #14583606C22semidirect
44. #14583569C22semidirect
45. D4×Dic86C22semidirect
47. #14583549C22semidirect
48. #14583548C22semidirect
50. #14583543C22semidirect
54. D4×C22⋊D43C22semidirect
55. #14583518C22semidirect
56. #14583516C22semidirect
57. #14583503C22semidirect
58. #14583502C22semidirect
63. #14583451C22semidirect
70. #14583382C22semidirect
71. #14583378C22semidirect
72. #14583374C22semidirect
73. #14583371C22semidirect
75. C2×D4×Dic43C22semidirect
76. #14583308C22semidirect
77. #14583306C22semidirect
78. #14583296C22semidirect
79. #14583287C22semidirect
80. #14583270C22semidirect
81. #14583253C22semidirect
82. #14583252C22semidirect
83. #14583248C22semidirect
84. #14583245C22semidirect
85. #14583244C22semidirect
86. #14583244C22semidirect
87. #14583241C22semidirect
88. #14583239C22semidirect
89. #14583235C22semidirect
90. #14583232C22semidirect
91. #14583221C22semidirect
92. #14583220C22semidirect
93. #14583218C22semidirect
94. #14583216C22semidirect
95. #14583215C22semidirect
96. #14583215C22semidirect
97. #14583213C22semidirect
98. #14583211C22semidirect
99. #14583208C22semidirect
100. #14583207C22semidirect
101. #14583199C22semidirect
102. #14583197C22semidirect
103. #14583189C22semidirect
104. #14583187C22semidirect
105. #14583187C22semidirect
106. #14583187C22semidirect
107. #14583180C22semidirect
108. #14583177C22semidirect
109. #14583177C22semidirect
110. #14583177C22semidirect
111. #14583149C22semidirect
112. #14583145C22semidirect
113. #14583142C22semidirect
114. #14583133C22semidirect
115. #14583132C22semidirect
116. #14583130C22semidirect
117. #14583128C22semidirect
118. #14583126C22semidirect
119. #14583126C22semidirect
120. #14583125C22semidirect
122. #14583112C22semidirect
123. #14583111C22semidirect
124. #14583102C22semidirect
125. #14583102C22semidirect
126. #14583097C22semidirect
127. #14583096C22semidirect
128. #14583092C22semidirect
129. #14583092C22semidirect
130. #14583092C22semidirect
132. #14583050C22semidirect
133. #14583048C22semidirect
134. #14583044C22semidirect
135. #14583041C22semidirect
136. #14583041C22semidirect
137. #14583033C22semidirect
139. #14583027C22semidirect
140. #14583023C22semidirect
142. #14583011C22semidirect
143. #14583011C22semidirect
144. #14583008C22semidirect
145. #14583008C22semidirect
146. #14583001C22semidirect
147. #14583000C22semidirect
148. #14583000C22semidirect
149. #14583000C22semidirect
150. #14582996C22semidirect
151. #14582996C22semidirect
152. #14582990C22semidirect
153. SD16×Dic43C22semidirect
154. SD16×Dic43C22semidirect
155. #14582986C22semidirect
156. C4×#10621883C22semidirect
157. #14582984C22semidirect
162. D8×Dic43C22semidirect
163. D8×Dic43C22semidirect
164. D8×Dic43C22semidirect
165. D8×Dic43C22semidirect
166. D8×Dic43C22semidirect
167. C4×#10621882C22semidirect
168. #14582975C22semidirect
169. #14582970C22semidirect
170. D4×C43⋊C8C22semidirect
171. (C22⋊D43)⋊C8C22semidirect
172. (C22⋊D43)⋊C8C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
177. #14582938C22semidirect
178. C2×#13063259C22semidirect
179. #14582895C22semidirect
180. #14582892C22semidirect
182. C2×#13063246C22semidirect
183. C2×#13063246C22semidirect
184. #102×D43C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
187. C2×C8×Dic43C22semidirect
190. C43×#546C22semidirect
192. C43×#496C22semidirect
193. C43×#469C22semidirect
194. C43×#465C22semidirect
196. C43×#459C22semidirect
198. C43×#449C22semidirect
200. C43×#447C22semidirect
202. C43×#435C22semidirect
577. D8×C43#41semidirect
893. #3264D43semidirect
942. #546C2×D43semidirect
971. #496C2×D43semidirect
1004. #469C2×D43semidirect
1014. #465C2×D43semidirect
1026. #459C2×D43semidirect
1034. #449C2×D43semidirect
1038. #447C2×D43semidirect
1071. #435C2×D43semidirect
1090. C43#61496semidirect
1472. D8#10621900semidirect

Maximal subgroups

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

subgroupindex
#191486312
#191486142
#191476122
#191474952
#191472392
#191472252
#191471852
#191470862
#191470822
#191465162
#191464492
#191464452
#191464192
#191464122
#191464012
#191461892
#191460752
#191452792
#191452752
#191451492
#191447912
#191447872
#191447762
#191447722
#191446892
#191446812
#191435652
#191434282
#191434242
C2×D8×Dic432
C43×#32642
#6149643