Finite Group Databasebeta

← #25979832

Subgroups — #25979832

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148705C211yesmaximal, characteristic, complemented
2#19148631C211yesmaximal, characteristic, complemented
3#19147667C211yesmaximal, characteristic, complemented
4#19147514C211yesmaximal, characteristic, complemented
5#19147434C211yesmaximal, characteristic, complemented
6#19147382C211yesmaximal, characteristic, complemented
7#19147222C211yesmaximal, characteristic, complemented
8#19147060C211yesmaximal, characteristic, complemented
9#19147045C211yesmaximal, characteristic, complemented
10#19146926C211yesmaximal, characteristic, complemented
11#19146815C211yesmaximal, characteristic, complemented
12#19146751C211yesmaximal, characteristic, complemented
13#19146706C211yesmaximal, characteristic, complemented
14#19146590C211yesmaximal, characteristic, complemented
15#19146575C211yesmaximal, characteristic, complemented
16#19146144C211yesmaximal, characteristic, complemented
17#19146129C211yesmaximal, characteristic, complemented
18#19145279C211yesmaximal, characteristic, complemented
19#19145231C211yesmaximal, characteristic, complemented
20#19145196C211yesmaximal, characteristic, complemented
21#19144871C211yesmaximal, characteristic, complemented
22#19144854C211yesmaximal, characteristic, complemented
23#19144817C211yesmaximal, characteristic, complemented
24#19144787C211yesmaximal, characteristic, complemented
25#19144750C211yesmaximal, characteristic, complemented
26#19144734C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143473C211yesmaximal, characteristic, complemented
29#19143439C211yesmaximal, characteristic, complemented
30AGL(1,ℤ/8)×Dic43C211yesmaximal, characteristic, complemented
31C43×#3275C211yesmaximal, characteristic, complemented
32C2×#13063346C2211yescharacteristic
33#14583631—21no—
34#14583631C2211yescharacteristic, complemented
35#14583628C2211yescharacteristic, complemented
36#14583618C2211yescharacteristic
37#14583614—21no—
38#14583614C2211yescharacteristic
39#14583607C2211yescharacteristic
40#14583606C2211yescharacteristic
41#14583596—21no—
42#14583596C2211yescharacteristic, complemented
43#14583586—21no—
44#14583583—21no—
45#14583583C2211yescharacteristic
46#14583580—21no—
47#14583575—21no—
48#14583568C2211yescharacteristic
49D4×Dic86C2211yescharacteristic
50#14583560C2211yescharacteristic, complemented
51#14583555—21no—
52#14583549C2211yescharacteristic
53#14583548C2211yescharacteristic
54#14583543C2211yescharacteristic
55#14583518—21no—
56#14583518C2211yescharacteristic
57#14583518C2211yescharacteristic, complemented
58#14583516C2211yescharacteristic
59#14583502—21no—
60#14583502C2211yescharacteristic, complemented
61#14583494—21no—
62#14583493—21no—
63#14583451C2211yescharacteristic
64#14583435—21no—
65#14583435C2211yescharacteristic
66#14583429—21no—
67#14583429C2211yescharacteristic
68#14583405—21no—
69C2×#13063302—21no—
70#14583382C2211yescharacteristic
71#14583381C2211yescharacteristic, complemented
72#14583378C2211yescharacteristic
73#14583377C2211yescharacteristic, complemented
74#41×Dic43C2211yescharacteristic
75C2×D4×Dic43C2211yescharacteristic
76#14583306C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583304C2211yescharacteristic, complemented
79#14583292C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic
81#14583266C2211yescharacteristic, complemented
82#14583260C2211yescharacteristic, complemented
83#14583258C2211yescharacteristic
84#14583258C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic
86#14583244C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic
88#14583241C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic
90#14583233C2211yescharacteristic, complemented
91#14583228C2211yescharacteristic, complemented
92#14583227C2211yescharacteristic
93#14583220C2211yescharacteristic
94#14583216C2211yescharacteristic
95#14583215C2211yescharacteristic, complemented
96#14583213C2211yescharacteristic
97#14583213C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583197C2211yescharacteristic
101#14583197C2211yescharacteristic
102#14583197C2211yescharacteristic
103#14583195C2211yescharacteristic, complemented
104#14583192C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583190C2211yescharacteristic, complemented
107#14583187C2211yescharacteristic, complemented
108#14583184C2211yescharacteristic, complemented
109#14583182C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic
111#14583155C2211yescharacteristic
112#14583147C2211yescharacteristic
113#14583145C2211yescharacteristic
114#14583145C2211yescharacteristic, complemented
115#14583142C2211yescharacteristic
116#14583142C2211yescharacteristic, complemented
117#14583137C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic
119#14583132C2211yescharacteristic
120#14583126C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic
122#14583119C2211yescharacteristic
123#14583118C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic
125#14583116C2211yescharacteristic
126#14583111C2211yescharacteristic
127#14583107C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583060C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic
134#14583055C2211yescharacteristic, complemented
135#14583044C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583041C2211yescharacteristic
138#14583033C2211yescharacteristic
139#14583029C2211yescharacteristic, complemented
140#14583028C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic
142#14583011C2211yescharacteristic
143#14583009C2211yescharacteristic
144#14583008C2211yescharacteristic
145#14583008C2211yescharacteristic
146#14583006C2211yescharacteristic, complemented
147#14583006C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583003C2211yescharacteristic, complemented
150#14583000C2211yescharacteristic
151#14583000C2211yescharacteristic
152#14583000C2211yescharacteristic
153#14583000C2211yescharacteristic
154#14583000C2211yescharacteristic
155#14583000C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157Q16×Dic43C2211yescharacteristic, complemented
158Q16×Dic43C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic
164#14582986C2211yescharacteristic, complemented
165#14582984C2211yescharacteristic, complemented
166D8×Dic43C2211yescharacteristic
167D8×Dic43C2211yescharacteristic
168#14582974C2211yescharacteristic
169#14582971C2211yescharacteristic
170#14582968C2211yescharacteristic
171#14582968C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic
176#14582941C2211yescharacteristic
177#14582941C2211yescharacteristic, complemented
178#106×D43C2211yescharacteristic, complemented
179#14582904C2211yescharacteristic
180#14582900C2211yescharacteristic
181#14582899C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic
183#14582895C2211yescharacteristic
184C2×#13063249C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
190C43×#548C2211yescharacteristic
191C43×#546C2211yescharacteristic
192C43×#495C2211yescharacteristic
193C43×#470C2211yescharacteristic
194C43×#469C2211yescharacteristic
195C43×#464C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#450C2211yescharacteristic
199C43×#449C2211yescharacteristic
200C43×#448C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C43×#436C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900C2311yescharacteristic
206C22×Dic86—21no—
207C23×Dic43—21no—
208#13063346—24no—
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621877C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220#13063325—21no—
221#13063325C2311yescharacteristic
222#13063325C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063323C2311yescharacteristic
226#13063321—21no—
227#13063321C2311yescharacteristic
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#13063318D411yescharacteristic
238#13063316—21no—
239#13063316—21no—
240#13063316—21no—
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063315—21no—
244#13063315—21no—
245#13063315—21no—
246#13063315D411yescharacteristic
247#13063314—21no—
248#13063314C2311yescharacteristic
249#13063312—21no—
250#13063312C2311yescharacteristic
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311D411yescharacteristic
257#13063309—21no—
258#13063309—21no—
259#13063309—21no—
260#13063309—21no—
261#13063309—21no—
262#13063309D411yescharacteristic
263#13063308—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063306—21no—
269#13063306—21no—
270#13063306—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306D411yescharacteristic
274#13063305—21no—
275#13063304—21no—
276#13063304C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063302—21no—
279#13063302—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302D411yescharacteristic
290#13063301—21no—
291#13063301C2311yescharacteristic
292#13063301C2311yescharacteristic
293#13063299—21no—
294#13063299—21no—
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297D411yescharacteristic
301#13063296—21no—
302#13063296—21no—
303#13063296—21no—
304#13063296—21no—
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063294—21no—
308Q8×Dic43—21no—
309Q8×Dic43—21no—
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290C2311yescharacteristic
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338#13063287—21no—
339#13063287C2311yescharacteristic
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43C2311yescharacteristic
344C4×C22⋊D43C2311yescharacteristic
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350#13063284—21no—
351#13063284—21no—
352#13063284—21no—
353#13063284—21no—
354#13063284C2311yescharacteristic
355#13063284C2311yescharacteristic
356#13063284C2311yescharacteristic
357#13063283—21no—
358#13063283—21no—
359#13063283—21no—
360#13063282—21no—
361#13063282C2311yescharacteristic
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365C2×C4⋊Dic43—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×C4⋊Dic43C2311yescharacteristic
368C2×Dic43⋊C4—21no—
369C2×Dic43⋊C4—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C2×C22⋊Dic43—21no—
374C2×C22⋊Dic43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#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#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#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440#137×C43—24no—
441AGL(1,ℤ/8)×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
452C2×M16×C43C2311yescharacteristic
453#124×C43—21no—
454#124×C43C2311yescharacteristic
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43—21no—
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#120×C43—21no—
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43—21no—
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
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
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482#41×C43—22no—
483#41×C43—22no—
484#41×C43—41no—
485#41×C43—41no—
486C2×Q8×C43—21no—
487C2×Q8×C43—22no—
488C2×Q8×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×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43C2×D411yescharacteristic
517C2×C22⋊D43C2×D411yescharacteristic
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×Dic43—21no—
528C22×Dic43—82no—
529C22×Dic43C2×D411yescharacteristic
530C22×Dic43C2×D411yescharacteristic
531#10621902—22no—
532#10621902—41no—
533#10621900—22no—
534#10621900—41no—
535#10621900—82no—
536C2×D172—21no—
537C2×D172C2411yescharacteristic
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—82no—
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2411yescharacteristic
551Q16×C43—22no—
552Q16×C43—22no—
553SD16×C43—22no—
554SD16×C43—22no—
555SD16×C43—41no—
556SD16×C43—41no—
557SD16×C43#4114yescomplemented
558D8×C43—22no—
559D8×C43—22no—
560M16×C43—22no—
561M16×C43—22no—
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C2×C8×C43C2411yescharacteristic
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43C2×D411yescharacteristic
582C22⋊C4×C43C2×D411yescharacteristic
583C42×C43—21no—
584C42×C43C2411yescharacteristic
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43C2×D411yescharacteristic
601C22⋊Dic43C2×D411yescharacteristic
602C22⋊Dic43C2×D411yescharacteristic
603C22⋊Dic43C2×D411yescharacteristic
604#10621885—22no—
605#10621885—41no—
606#10621884—41no—
607#10621883—41no—
608#10621882—22no—
609#10621882—41no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680#10621877—41no—
681C2×C43⋊C8—41no—
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686#10621873—22no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—81no—
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—42no—
705Q8×C43C2×#4112yes—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—41no—
712D4×C43—42no—
713D4×C43—42no—
714D4×C43—42no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43C2×#4112yes—
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—21no—
727C2×C4×C43—42no—
728C2×C4×C43—42no—
729C2×C4×C43—42no—
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—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—41no—
753C2×Dic43—41no—
754C2×Dic43—42no—
755C2×Dic43—42no—
756C2×Dic43—42no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43—81no—
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771D172—21no—
772D172—21no—
773D172—42no—
774C4×D43—21no—
775C4×D43—21no—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781Dic86—21no—
782Dic86—21no—
783Dic86—41no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61508—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—22no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—84no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—22no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43C22×#4111yescharacteristic
830C4×C43#58511yescharacteristic
831Dic43—21no—
832Dic43—21no—
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524—431no—
846#3520—431no—
847#3401—431no—
848#3386—431no—
849#3377—431no—
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319—431no—
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275D4311yescharacteristic, complemented
861#3269—431no—
862#3268—431no—
863#3179—431no—
864#3175—431no—
865#3172—431no—
866#3125—431no—
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967—431no—
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—41no—
877C2×C43—41no—
878C2×C43—42no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—81no—
886C2×#137C2×D4311yescharacteristic
887C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
888C2×#135—431no—
889#559—431no—
890#559—861no—
891#557—431no—
892#556—431no—
893#555—431no—
894#555—861no—
895#554—431no—
896#554—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—861no—
901#552—861no—
902#551—861no—
903#551—861no—
904#550—431no—
905D4×Q8—431no—
906#548—431no—
907#548—861no—
908#548C2×D4311yescharacteristic
909#547—431no—
910#547—431no—
911#546—431no—
912#546C2×D4311yescharacteristic
913#542—431no—
914#542—431no—
915#542—431no—
916#542—861no—
917#540—431no—
918#540—861no—
919#539—861no—
920#539—861no—
921#533—431no—
922#529—431no—
923#529—431no—
924#529—861no—
925#529—861no—
926#525—861no—
927C2×C22⋊Q8—861no—
928#520—431no—
929#520—431no—
930#520—431no—
931#519—431no—
932C4×#41—431no—
933C2×C4×D4—431no—
934#501—431no—
935#501—431no—
936#500—431no—
937#497—431no—
938#496—431no—
939#495C2×D4311yescharacteristic
940#491—431no—
941#489—431no—
942#489—431no—
943#489—431no—
944#488—431no—
945#486—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#484—431no—
950#483—431no—
951#483—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#474—431no—
970#470—431no—
971#470C2×D4311yescharacteristic
972#469C2×D4311yescharacteristic
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464C2×D4311yescharacteristic
986#463—431no—
987#463—431no—
988#463—431no—
989#463C2×D4311yescharacteristic
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452C2×D4311yescharacteristic
998#451—431no—
999#450C2×D4311yescharacteristic
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449C2×D4311yescharacteristic
1004#448C2×D4311yescharacteristic
1005#447—431no—
1006#446—431no—
1007#446—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16C2×D4311yescharacteristic
1034C4×D8—431no—
1035C4×D8—431no—
1036#436—431no—
1037#436C2×D4311yescharacteristic
1038#435—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#433—431no—
1043#433—431no—
1044#432—431no—
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416—431no—
1053C2×#103—431no—
1054#405—431no—
1055#405—431no—
1056C4×M16—431no—
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—431no—
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C2×#41C22×D4311yescharacteristic
1063C22×Q8—861no—
1064C22×Q8C22×D4311yescharacteristic
1065C22×D4C22×D4311yescharacteristic
1066C23×C4—861no—
1067#137—24no—
1068AGL(1,ℤ/8)—24no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
1073C2×Q16C22×D4311yescharacteristic
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16C22×D4311yescharacteristic
1078C2×SD16C22×D4311yescharacteristic
1079C2×SD16C22×D4311yescharacteristic
1080C2×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×D8—431no—
1083C2×D8—431no—
1084C2×D8C22×D4311yescharacteristic
1085C2×D8C22×D4311yescharacteristic
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16C22×D4311yescharacteristic
1089C2×M16C22×D4311yescharacteristic
1090C22×C8—431no—
1091C22×C8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—861no—
1098#127—431no—
1099#127—861no—
1100#126—431no—
1101#126—431no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#124—21no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124C22×D4311yescharacteristic
1131#124C22×D4311yescharacteristic
1132#123—21no—
1133#123—431no—
1134#123—431no—
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—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150C22⋊Q8—21no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8C22×D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172#121—21no—
1173#121—21no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22×D4311yescharacteristic
1189#121C22×D4311yescharacteristic
1190#120—21no—
1191#120—861no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—21no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238#117—431no—
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C4⋊C4—861no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8C22×D4311yescharacteristic
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8C22×D4311yescharacteristic
1325C22⋊C8C22×D4311yescharacteristic
1326#97—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8C22×D4311yescharacteristic
1336C24—21no—
1337#41—22no—
1338#41—22no—
1339#41—41no—
1340#41—41no—
1341#41—862no—
1342#41—862no—
1343#41—3442no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—22no—
1348C2×Q8—41no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—3442no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—41no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4D4×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C2×D4C23×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—3442no—
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406Q16—22no—
1407Q16—22no—
1408Q16—862no—
1409Q16—1721no—
1410SD16—22no—
1411SD16—22no—
1412SD16—41no—
1413SD16—41no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16#1062190014yescomplemented
1418D8—22no—
1419D8—22no—
1420D8—862no—
1421D8—1721no—
1422M16—22no—
1423M16—22no—
1424M16—1721no—
1425M16—1721no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—862no—
1431C2×C8—1721no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—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⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4D4×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4D4×D4311yescharacteristic
1525C22⋊C4D4×D4311yescharacteristic
1526C42—21no—
1527C42—431no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—42no—
1549C23—81no—
1550C23—431no—
1551C23—861no—
1552C23C2×D4×D4311yescharacteristic
1553C23C2×D4×D4311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—42no—
1560Q8—861no—
1561Q8—861no—
1562Q8—3441no—
1563Q8—3441no—
1564Q8—3441no—
1565Q8—1721no—
1566Q8—1722no—
1567Q8C2×#1062190012yes—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—41no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—861no—
1580D4—861no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—1722no—
1588D4—1721no—
1589D4—1721no—
1590D4—1722no—
1591D4C2×#1062190012yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—81no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1722no—
1633C2×C4—1721no—
1634C2×C4—1721no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8C2×#1062190012yes—
1651C22—21no—
1652C22—21no—
1653C22—22no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—84no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22C22×D4×D4311yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—22no—
1677C4—21no—
1678C4—21no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—861no—
1684C4—861no—
1685C4—861no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—1721no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C22×#1062190011yescharacteristic
1698C4#1458373411yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—42no—
1702C2—81no—
1703C2—81no—
1704C2—3441no—
1705C2—1721no—
1706C2D4×#1062190011yescharacteristic
1707C2#1914937311yescharacteristic
1708C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3275C2
socleC22×C43C23×D4
hypercenter#3275D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #19148705C2semidirect
2. #19148631C2semidirect
3. #19147667C2semidirect
4. #19147514C2semidirect
5. #19147434C2semidirect
6. #19147382C2semidirect
7. #19147222C2semidirect
8. #19147060C2semidirect
9. #19147045C2semidirect
10. #19146926C2semidirect
11. #19146815C2semidirect
12. #19146751C2semidirect
13. #19146706C2semidirect
14. #19146590C2semidirect
15. #19146575C2semidirect
16. #19146144C2semidirect
17. #19146129C2semidirect
18. #19145279C2semidirect
19. #19145231C2semidirect
20. #19145196C2semidirect
21. #19144871C2semidirect
22. #19144854C2semidirect
23. #19144817C2semidirect
24. #19144787C2semidirect
25. #19144750C2semidirect
26. #19144734C2semidirect
27. #19143581C2semidirect
28. #19143473C2semidirect
29. #19143439C2semidirect
30. AGL(1,ℤ/8)×Dic43C2semidirect
31. C43×#3275C2semidirect
34. #14583631C22semidirect
35. #14583628C22semidirect
42. #14583596C22semidirect
50. #14583560C22semidirect
57. #14583518C22semidirect
60. #14583502C22semidirect
71. #14583381C22semidirect
73. #14583377C22semidirect
76. #14583306C22semidirect
77. #14583306C22semidirect
78. #14583304C22semidirect
79. #14583292C22semidirect
81. #14583266C22semidirect
82. #14583260C22semidirect
84. #14583258C22semidirect
86. #14583244C22semidirect
88. #14583241C22semidirect
90. #14583233C22semidirect
91. #14583228C22semidirect
95. #14583215C22semidirect
97. #14583213C22semidirect
98. #14583211C22semidirect
99. #14583208C22semidirect
103. #14583195C22semidirect
104. #14583192C22semidirect
105. #14583192C22semidirect
106. #14583190C22semidirect
107. #14583187C22semidirect
108. #14583184C22semidirect
109. #14583182C22semidirect
114. #14583145C22semidirect
116. #14583142C22semidirect
117. #14583137C22semidirect
120. #14583126C22semidirect
123. #14583118C22semidirect
127. #14583107C22semidirect
128. #14583102C22semidirect
129. #14583097C22semidirect
132. #14583060C22semidirect
134. #14583055C22semidirect
139. #14583029C22semidirect
140. #14583028C22semidirect
146. #14583006C22semidirect
147. #14583006C22semidirect
148. #14583004C22semidirect
149. #14583003C22semidirect
155. #14583000C22semidirect
156. #14582996C22semidirect
157. Q16×Dic43C22semidirect
158. Q16×Dic43C22semidirect
159. #14582991C22semidirect
160. C4×#10621873C22semidirect
164. #14582986C22semidirect
165. #14582984C22semidirect
171. #14582968C22semidirect
172. #14582967C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
177. #14582941C22semidirect
178. #106×D43C22semidirect
181. #14582899C22semidirect
184. C2×#13063249C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
557. SD16×C43#41semidirect
860. #3275D43semidirect
1057. C43#61508semidirect
1417. SD16#10621900semidirect

Maximal subgroups

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

subgroupindex
#191487052
#191486312
#191476672
#191475142
#191474342
#191473822
#191472222
#191470602
#191470452
#191469262
#191468152
#191467512
#191467062
#191465902
#191465752
#191461442
#191461292
#191452792
#191452312
#191451962
#191448712
#191448542
#191448172
#191447872
#191447502
#191447342
#191435812
#191434732
#191434392
AGL(1,ℤ/8)×Dic432
C43×#32752
#6150843