Finite Group Databasebeta

← #25978902

Subgroups — #25978902

Order 11008.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148212C211yesmaximal, characteristic, complemented
2#19148193C211yesmaximal, characteristic, complemented
3#19147592C211yesmaximal, characteristic, complemented
4#19147486C211yesmaximal, characteristic, complemented
5#19147292C211yesmaximal, characteristic, complemented
6#19147281C211yesmaximal, characteristic, complemented
7#19147175C211yesmaximal, characteristic, complemented
8#19147160C211yesmaximal, characteristic, complemented
9#19147151C211yesmaximal, characteristic, complemented
10#19146918C211yesmaximal, characteristic, complemented
11#19146874C211yesmaximal, characteristic, complemented
12#19146868C211yesmaximal, characteristic, complemented
13#19146864C211yesmaximal, characteristic, complemented
14#19146853C211yesmaximal, characteristic, complemented
15#19146844C211yesmaximal, characteristic, complemented
16#19146255C211yesmaximal, characteristic, complemented
17#19146251C211yesmaximal, characteristic, complemented
18#19146246C211yesmaximal, characteristic, complemented
19#19145324C211yesmaximal, characteristic, complemented
20#19145320C211yesmaximal, characteristic, complemented
21#19145310C211yesmaximal, characteristic, complemented
22#19144766C211yesmaximal, characteristic, complemented
23#19144764C211yesmaximal, characteristic, complemented
24#19144744C211yesmaximal, characteristic, complemented
25#19144723C211yesmaximal, characteristic, complemented
26#19144710C211yesmaximal, characteristic, complemented
27#19144704C211yesmaximal, characteristic, complemented
28#19143613C211yesmaximal, characteristic, complemented
29#19143411C211yesmaximal, characteristic, complemented
30#19143411C211yesmaximal, characteristic, complemented
31C4×#137×C43C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34#14583632—21no—
35#14583632C2211yescharacteristic
36#14583625C2211yescharacteristic
37#14583625C2211yescharacteristic
38#14583621—21no—
39#14583621C2211yescharacteristic
40#14583617—21no—
41#14583617C2211yescharacteristic
42#14583599—21no—
43#14583599C2211yescharacteristic
44#14583593—21no—
45#14583593C2211yescharacteristic
46#14583590—21no—
47#14583590C2211yescharacteristic
48#14583584—21no—
49#14583584C2211yescharacteristic
50#14583568C2211yescharacteristic
51Q8×C22⋊D43C2211yescharacteristic
52#14583561C2211yescharacteristic
53#14583561C2211yescharacteristic
54#14583560C2211yescharacteristic
55#14583556C2211yescharacteristic
56#14583550—21no—
57#14583550C2211yescharacteristic
58#14583453—21no—
59#14583453C2211yescharacteristic
60#14583446—21no—
61#14583446C2211yescharacteristic
62#14583436—21no—
63#14583436C2211yescharacteristic
64#14583433—21no—
65#14583433—21no—
66#14583433C2211yescharacteristic
67#14583433C2211yescharacteristic
68#14583431—21no—
69#14583431C2211yescharacteristic
70C4×#10621902C2211yescharacteristic
71C4×#10621902C2211yescharacteristic
72C4×#10621898—21no—
73C4×#10621898—21no—
74C4×#10621898C2211yescharacteristic
75C4×Q8×D43C2211yescharacteristic
76C4×Q8×D43C2211yescharacteristic
77#14583303C2211yescharacteristic
78#14583301C2211yescharacteristic
79#14583300C2211yescharacteristic
80#14583283C2211yescharacteristic
81#14583280C2211yescharacteristic
82#14583270C2211yescharacteristic
83#14583255C2211yescharacteristic
84#14583254C2211yescharacteristic
85#14583254C2211yescharacteristic
86#14583252C2211yescharacteristic
87#14583248C2211yescharacteristic
88#14583244C2211yescharacteristic
89#14583240C2211yescharacteristic
90#14583238C2211yescharacteristic
91#14583236C2211yescharacteristic
92#14583234C2211yescharacteristic
93#14583231C2211yescharacteristic
94#14583228C2211yescharacteristic
95#14583226C2211yescharacteristic
96#14583225C2211yescharacteristic
97#14583223C2211yescharacteristic
98#14583222C2211yescharacteristic
99#14583217C2211yescharacteristic
100#14583216C2211yescharacteristic
101#14583206C2211yescharacteristic
102#14583206C2211yescharacteristic
103#14583206C2211yescharacteristic
104#14583205C2211yescharacteristic
105#14583204C2211yescharacteristic
106#14583204C2211yescharacteristic
107#14583199C2211yescharacteristic
108#14583198C2211yescharacteristic
109#14583183C2211yescharacteristic
110#14583182C2211yescharacteristic
111#14583182C2211yescharacteristic
112#14583178C2211yescharacteristic
113#14583157C2211yescharacteristic
114#14583156C2211yescharacteristic
115#14583152C2211yescharacteristic
116#14583151C2211yescharacteristic
117#14583148C2211yescharacteristic
118#14583146C2211yescharacteristic
119#14583146C2211yescharacteristic
120#14583145C2211yescharacteristic
121#14583145C2211yescharacteristic
122#14583144C2211yescharacteristic
123#14583142C2211yescharacteristic
124#14583142C2211yescharacteristic
125#14583123C2211yescharacteristic
126#14583121C2211yescharacteristic
127#14583121C2211yescharacteristic
128#14583121C2211yescharacteristic
129#14583120C2211yescharacteristic
130#14583119C2211yescharacteristic
131#14583117C2211yescharacteristic
132#14583114C2211yescharacteristic
133#14583108C2211yescharacteristic
134#14583107C2211yescharacteristic
135#14583097C2211yescharacteristic
136#14583093C2211yescharacteristic
137#14583061C2211yescharacteristic
138#14583060C2211yescharacteristic
139#14583056C2211yescharacteristic
140#14583056C2211yescharacteristic
141#14583055C2211yescharacteristic
142#14583053C2211yescharacteristic
143#14583047C2211yescharacteristic
144#14583047C2211yescharacteristic
145#14583044C2211yescharacteristic
146#14583043C2211yescharacteristic
147#14583038C2211yescharacteristic
148#14583036C2211yescharacteristic
149C8×Dic86C2211yescharacteristic
150C8×Dic86C2211yescharacteristic
151#14583012C2211yescharacteristic
152#14583009C2211yescharacteristic
153#14583007C2211yescharacteristic
154#14583004C2211yescharacteristic
155#14583004C2211yescharacteristic
156#14583004C2211yescharacteristic
157#14583001C2211yescharacteristic
158#14583001C2211yescharacteristic
159#14582999C2211yescharacteristic
160#14582997C2211yescharacteristic
161#14582997C2211yescharacteristic
162#14582997C2211yescharacteristic
163Q16×Dic43C2211yescharacteristic
164Q16×Dic43C2211yescharacteristic
165#14582991C2211yescharacteristic
166#14582991C2211yescharacteristic
167#14582986C2211yescharacteristic
168#14582986C2211yescharacteristic
169#14582984C2211yescharacteristic
170#14582984C2211yescharacteristic
171#14582978C2211yescharacteristic
172#14582978C2211yescharacteristic
173#14582975C2211yescharacteristic
174#14582975C2211yescharacteristic
175#14582975C2211yescharacteristic
176#14582975C2211yescharacteristic
177#14582956C2211yescharacteristic
178#14582954C2211yescharacteristic
179#14582954C2211yescharacteristic
180#14582938C2211yescharacteristic
181#14582938C2211yescharacteristic
182#14582906C2211yescharacteristic
183#14582906C2211yescharacteristic
184#14582899C2211yescharacteristic
185#14582899C2211yescharacteristic
186#14582851C2211yescharacteristic
187#14582851C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C4×#41×C43C2211yescharacteristic
190C2×C4×Q8×C43C2211yescharacteristic
191C43×#441C2211yescharacteristic
192C43×#441C2211yescharacteristic
193C43×#440C2211yescharacteristic
194C43×#440C2211yescharacteristic
195C4×Q16×C43C2211yescharacteristic
196C4×Q16×C43C2211yescharacteristic
197C4×SD16×C43C2211yescharacteristic
198C4×SD16×C43C2211yescharacteristic
199C43×#428C2211yescharacteristic
200C43×#419C2211yescharacteristic
201C43×#417C2211yescharacteristic
202C4×M16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898D411yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C2×Q8×D43C2311yescharacteristic
210#13063357—24no—
211#13063357—24no—
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323—21no—
233#13063323C2311yescharacteristic
234#13063321—21no—
235#13063321C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063319—21no—
240#13063319—21no—
241#13063319—21no—
242#13063319—21no—
243#13063319—21no—
244#13063319—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063317—21no—
249#13063317—21no—
250#13063317C2311yescharacteristic
251#13063317C2311yescharacteristic
252#13063316—21no—
253#13063316—21no—
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063314—21no—
260#13063314C2311yescharacteristic
261#13063313—21no—
262#13063313—21no—
263#13063313C2311yescharacteristic
264#13063313C2311yescharacteristic
265#13063312—21no—
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063308—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063305—21no—
283#13063305—21no—
284#13063305C2311yescharacteristic
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304—21no—
288#13063304C2311yescharacteristic
289#13063304C2311yescharacteristic
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301C2311yescharacteristic
296#13063301C2311yescharacteristic
297#13063300—21no—
298#13063300—21no—
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063299—21no—
302#13063299—21no—
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86D411yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330C4×D172—21no—
331C4×D172—21no—
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172D411yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340#13063287—21no—
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43D411yescharacteristic
355C4×C22⋊D43D411yescharacteristic
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358#13063284—21no—
359#13063284—21no—
360#13063284D411yescharacteristic
361#13063283—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282D411yescharacteristic
372#13063282D411yescharacteristic
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C42×D43—21no—
378C42×D43—21no—
379C42×D43—21no—
380C42×D43—21no—
381C42×D43C2311yescharacteristic
382C42×D43C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439#137×C43—24no—
440C2×Q16×C43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C4×Q8×C43—21no—
447C4×Q8×C43—21no—
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43—21no—
461C2×C4⋊C4×C43C2311yescharacteristic
462C2×C42×C43—21no—
463C2×C42×C43—21no—
464C2×C42×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481#41×C43—22no—
482#41×C43—41no—
483C2×Q8×C43—21no—
484C2×Q8×C43—22no—
485C2×Q8×C43—41no—
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2×D411yescharacteristic
497C22×C4×C43C2×D411yescharacteristic
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507#10621902—22no—
508#10621902—22no—
509#10621902—41no—
510#10621902—41no—
511Q8×D43—22no—
512Q8×D43—22no—
513Q8×D43—41no—
514Q8×D43—41no—
515#10621898—42no—
516#10621898—44no—
517#10621898—44no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172C2×D411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548Q16×C43—22no—
549Q16×C43#4114yescomplemented
550SD16×C43—22no—
551SD16×C43—22no—
552M16×C43—22no—
553M16×C43—41no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43C2×D411yescharacteristic
580C42×C43C2×D411yescharacteristic
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591#10621885—22no—
592#10621885—22no—
593#10621885—41no—
594#10621884—22no—
595#10621884—22no—
596#10621884—41no—
597#10621883—41no—
598#10621882—41no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
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)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637Dic43⋊C4—21no—
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⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—41no—
682D344—41no—
683#10621873—22no—
684#10621873—22no—
685#10621872—22no—
686#10621872—22no—
687#10621872—41no—
688#10621872—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
692C22×D43—21no—
693C22×D43C22×D411yescharacteristic
694C22×D43C22×D411yescharacteristic
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—42no—
700Q8×C43C2×#4112yes—
701Q8×C43C2×#4112yes—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—42no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—41no—
715C2×C4×C43—41no—
716C2×C4×C43—42no—
717C2×C4×C43—42no—
718C2×C4×C43—42no—
719C2×C4×C43—42no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—22no—
728C22⋊D43—41no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—41no—
752D172—42no—
753D172—42no—
754D172—42no—
755D172—42no—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—22no—
761C4×D43—41no—
762C4×D43—41no—
763C4×D43—41no—
764C4×D43—42no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—81no—
773C4×D43—81no—
774Dic86—22no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—42no—
780Dic86—42no—
781Dic86—42no—
782Dic86—42no—
783C8×C43—21no—
784C8×C43—21no—
785C8×C43—21no—
786C8×C43C2×#4112yes—
787C43⋊C8—21no—
788C43⋊C8—21no—
789C43⋊C8—21no—
790C43⋊C8—21no—
791#61467—431nomaximal, Sylow
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43C23×D411yescharacteristic
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—41no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C4×C43—21no—
812C4×C43—21no—
813C4×C43—22no—
814C4×C43—22no—
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—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43#57512yes—
837#3482—431no—
838#3480—431no—
839#3394—431no—
840#3383—431no—
841#3365—431no—
842#3364—431no—
843#3353—431no—
844#3351—431no—
845#3351—431no—
846#3332—431no—
847#3328—431no—
848#3327—431no—
849#3327—431no—
850#3326—431no—
851#3326—431no—
852#3278—431no—
853#3277—431no—
854#3277—431no—
855#3183—431no—
856#3183—431no—
857#3182—431no—
858#3117—431no—
859#3117—431no—
860#3115—431no—
861#3113—431no—
862#3111—431no—
863#3111—431no—
864#2971—431no—
865C4×#137—431no—
866C4×#137—431no—
867C4×#137D4311yescharacteristic, complemented
868C2×C43—41no—
869C2×C43—81no—
870C2×C43D4×#4111yescharacteristic
871C2×C43C2×#57511yescharacteristic
872C2×C43#358611yescharacteristic
873D43—41no—
874D43—41no—
875D43—81no—
876D43—81no—
877C2×#137—431no—
878C2×#137—431no—
879C2×#137C2×D4311yescharacteristic
880#559—431no—
881#559—861no—
882#557—431no—
883#557—431no—
884#556—431no—
885#556—431no—
886#556—861no—
887#556—861no—
888#553—431no—
889#553—431no—
890#553—861no—
891#553—861no—
892#552—431no—
893#552—431no—
894#552—861no—
895#552—861no—
896#550—431no—
897D4×Q8—431no—
898#548—431no—
899#548—431no—
900#548—431no—
901#548—431no—
902#547—431no—
903#547—861no—
904#533—431no—
905#533—861no—
906#532—431no—
907#532—861no—
908#529—431no—
909#529—431no—
910#529—431no—
911#529—431no—
912#529—861no—
913#529—861no—
914#529—861no—
915#529—861no—
916C4×#41—431no—
917C4×#41—431no—
918C4×#41—431no—
919C4×#41—861no—
920C4×#41—861no—
921C4×#41C2×D4311yescharacteristic
922C2×C4×Q8—431no—
923C2×C4×Q8—431no—
924C2×C4×Q8C2×D4311yescharacteristic
925#500—431no—
926#499—431no—
927#499—431no—
928#495—431no—
929#495—431no—
930#492—431no—
931#488—431no—
932#488—431no—
933#488—431no—
934#488—431no—
935#487—431no—
936#486—431no—
937#485—431no—
938#485—431no—
939#484—431no—
940#484—431no—
941#483—431no—
942#483—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#481—431no—
948#481—431no—
949#479—431no—
950#479—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#478—431no—
956#478—431no—
957#475—431no—
958#475—431no—
959#475—431no—
960#474—431no—
961#470—431no—
962#470—431no—
963#469—431no—
964#469—431no—
965#468—431no—
966#468—431no—
967#468—431no—
968#468—431no—
969#468—431no—
970#468—431no—
971#468—431no—
972#468—431no—
973#464—431no—
974#464—431no—
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#462—431no—
982#462—431no—
983#460—431no—
984#459—431no—
985#452—431no—
986#452—431no—
987#451—431no—
988#451—431no—
989#451—431no—
990#451—431no—
991#449—431no—
992#449—431no—
993#449—431no—
994#449—431no—
995#448—431no—
996#448—431no—
997C8×Q8—431no—
998C8×Q8—431no—
999#442—431no—
1000#442—431no—
1001#441—431no—
1002#441—431no—
1003#441—431no—
1004#441—431no—
1005#441C2×D4311yescharacteristic
1006#441C2×D4311yescharacteristic
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013#440C2×D4311yescharacteristic
1014#440C2×D4311yescharacteristic
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×Q16—431no—
1018C4×Q16—431no—
1019C4×Q16C2×D4311yescharacteristic
1020C4×Q16C2×D4311yescharacteristic
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16—431no—
1025C4×SD16C2×D4311yescharacteristic
1026C4×SD16C2×D4311yescharacteristic
1027#436—431no—
1028#436—431no—
1029#436—431no—
1030#436—431no—
1031#436—431no—
1032#436—431no—
1033#432—431no—
1034#432—431no—
1035#432—431no—
1036#428—431no—
1037#428—431no—
1038#428C2×D4311yescharacteristic
1039#419—431no—
1040#419—431no—
1041#419C2×D4311yescharacteristic
1042#417—431no—
1043#417—431no—
1044#417C2×D4311yescharacteristic
1045C4×M16—431no—
1046C4×M16—431no—
1047C4×M16C2×D4311yescharacteristic
1048C43#6146711yescharacteristic, complemented, Sylow
1049C2×#41—431no—
1050C2×#41—431no—
1051C2×#41—431no—
1052C2×#41—861no—
1053C2×#41—861no—
1054C2×#41C22×D4311yescharacteristic
1055C22×Q8—431no—
1056C22×Q8—431no—
1057C22×Q8C22×D4311yescharacteristic
1058#137—24no—
1059#137—864no—
1060#137—864no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×Q16—431no—
1065C2×Q16C22×D4311yescharacteristic
1066C2×Q16C22×D4311yescharacteristic
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16—431no—
1072C2×SD16—431no—
1073C2×SD16C22×D4311yescharacteristic
1074C2×SD16C22×D4311yescharacteristic
1075C2×D8—431no—
1076C2×D8—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C2×M16—431no—
1080C2×M16—431no—
1081C2×M16C22×D4311yescharacteristic
1082C2×M16C22×D4311yescharacteristic
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8—861no—
1089#127—431no—
1090#127—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#125—431no—
1104#125—431no—
1105#125—431no—
1106#125—431no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167C4×Q8—21no—
1168C4×Q8—21no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
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—861no—
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×D4—861no—
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—21no—
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—
1241#117C22×D4311yescharacteristic
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4C22×D4311yescharacteristic
1248C2×C42—21no—
1249C2×C42—21no—
1250C2×C42—431no—
1251C2×C42—431no—
1252C2×C42—861no—
1253C2×C42—861no—
1254C2×C42—861no—
1255C2×C42—861no—
1256C2×C42C22×D4311yescharacteristic
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107C22×D4311yescharacteristic
1264#107C22×D4311yescharacteristic
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273C4⋊C8—431no—
1274C4⋊C8—431no—
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
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#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
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#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317#97—431no—
1318#97—431no—
1319#97C22×D4311yescharacteristic
1320#97C22×D4311yescharacteristic
1321C4×C8—431no—
1322C4×C8—431no—
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8C22×D4311yescharacteristic
1326C4×C8C22×D4311yescharacteristic
1327#41—22no—
1328#41—41no—
1329#41—862no—
1330#41—862no—
1331#41—1722no—
1332#41—1724no—
1333#41—1724no—
1334#41—1721no—
1335#41—1721no—
1336C2×Q8—21no—
1337C2×Q8—22no—
1338C2×Q8—41no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8—861no—
1345C2×Q8—861no—
1346C2×Q8—862no—
1347C2×Q8—862no—
1348C2×Q8—1721no—
1349C2×Q8—1721no—
1350C2×Q8C23×D4311yescharacteristic
1351C2×Q8C23×D4311yescharacteristic
1352C2×Q8C23×D4311yescharacteristic
1353C2×D4—21no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—431no—
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×C4—861no—
1390C22×C4—861no—
1391C22×C4D4×D4311yescharacteristic
1392C22×C4D4×D4311yescharacteristic
1393C22×C4C23×D4311yescharacteristic
1394Q16—22no—
1395Q16—862no—
1396Q16—862no—
1397Q16—1721no—
1398Q16—1721no—
1399Q16#1062189814yescomplemented
1400SD16—22no—
1401SD16—22no—
1402SD16—862no—
1403SD16—862no—
1404SD16—862no—
1405SD16—862no—
1406SD16—1721no—
1407SD16—1721no—
1408D8—1721no—
1409D8—1721no—
1410M16—22no—
1411M16—41no—
1412M16—862no—
1413M16—862no—
1414M16—1721no—
1415M16—1721no—
1416C2×C8—431no—
1417C2×C8—431no—
1418C2×C8—431no—
1419C2×C8—431no—
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C2×C8C23×D4311yescharacteristic
1423C2×C8C23×D4311yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
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⋊C4—861no—
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C4⋊C4C23×D4311yescharacteristic
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
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—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—431no—
1516C42—431no—
1517C42—431no—
1518C42—431no—
1519C42—431no—
1520C42—431no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42D4×D4311yescharacteristic
1532C42D4×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C42C23×D4311yescharacteristic
1535C23—21no—
1536C23—431no—
1537C23—431no—
1538C23—861no—
1539C23—861no—
1540C23C2×D4×D4311yescharacteristic
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—42no—
1546Q8—862no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—1722no—
1552Q8—1722no—
1553Q8—1722no—
1554Q8—1722no—
1555Q8C2×#1062189812yes—
1556Q8C2×#1062189812yes—
1557D4—21no—
1558D4—21no—
1559D4—42no—
1560D4—862no—
1561D4—861no—
1562D4—861no—
1563D4—861no—
1564D4—861no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—1721no—
1569D4—1722no—
1570D4—1722no—
1571D4—1722no—
1572D4—1722no—
1573D4—1722no—
1574D4—1721no—
1575D4—1722no—
1576D4—1722no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—862no—
1600C2×C4—861no—
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—1721no—
1613C2×C4—1721no—
1614C2×C4—1721no—
1615C2×C4—1722no—
1616C2×C4—1722no—
1617C2×C4—1722no—
1618C2×C4—1722no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8C2×#1062189812yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—861no—
1644C22—861no—
1645C22—861no—
1646C22—861no—
1647C22—861no—
1648C22—861no—
1649C22—1721no—
1650C22—1721no—
1651C22—1721no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22C22×D4×D4311yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—22no—
1660C4—22no—
1661C4—21no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—432no—
1669C4—861no—
1670C4—861no—
1671C4—861no—
1672C4—861no—
1673C4—861no—
1674C4—1721no—
1675C4—1721no—
1676C4—1721no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4C22×#1062189811yescharacteristic
1681C4#1458373511yescharacteristic
1682C2—41no—
1683C2—81no—
1684C2—3441no—
1685C2—3441no—
1686C2—1721no—
1687C2—1721no—
1688C2D4×#1062189811yescharacteristic
1689C2#575×D4311yescharacteristic
1690C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC4×#137×C43C2
socleC22×C43C23×D4
hypercenterC4×#137D43
hypocenterC43#61467
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×#137

Complements

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

NH ≅ G/Ntype
1. #19148212C2semidirect
2. #19148193C2semidirect
3. #19147592C2semidirect
4. #19147486C2semidirect
5. #19147292C2semidirect
6. #19147281C2semidirect
7. #19147175C2semidirect
8. #19147160C2semidirect
9. #19147151C2semidirect
10. #19146918C2semidirect
11. #19146874C2semidirect
12. #19146868C2semidirect
13. #19146864C2semidirect
14. #19146853C2semidirect
15. #19146844C2semidirect
16. #19146255C2semidirect
17. #19146251C2semidirect
18. #19146246C2semidirect
19. #19145324C2semidirect
20. #19145320C2semidirect
21. #19145310C2semidirect
22. #19144766C2semidirect
23. #19144764C2semidirect
24. #19144744C2semidirect
25. #19144723C2semidirect
26. #19144710C2semidirect
27. #19144704C2semidirect
28. #19143613C2semidirect
29. #19143411C2semidirect
30. #19143411C2semidirect
31. C4×#137×C43C2semidirect
549. Q16×C43#41semidirect
867. C4×#137D43semidirect
1048. C43#61467semidirect
1399. Q16#10621898semidirect

Maximal subgroups

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

subgroupindex
#191482122
#191481932
#191475922
#191474862
#191472922
#191472812
#191471752
#191471602
#191471512
#191469182
#191468742
#191468682
#191468642
#191468532
#191468442
#191462552
#191462512
#191462462
#191453242
#191453202
#191453102
#191447662
#191447642
#191447442
#191447232
#191447102
#191447042
#191436132
#191434112
C4×#137×C432
#6146743