Finite Group Databasebeta

← #25988680

Subgroups — #25988680

Order 11008.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149097C211yesmaximal, characteristic, complemented
2#19148471C211yesmaximal, characteristic, complemented
3#19147684C211yesmaximal, characteristic, complemented
4#19147682C211yesmaximal, characteristic, complemented
5#19147664C211yesmaximal, characteristic, complemented
6#19147662C211yesmaximal, characteristic, complemented
7#19147638C211yesmaximal, characteristic, complemented
8#19147632C211yesmaximal, characteristic, complemented
9#19147618C211yesmaximal, characteristic, complemented
10#19147616C211yesmaximal, characteristic, complemented
11#19147366C211yesmaximal, characteristic, complemented
12#19147364C211yesmaximal, characteristic, complemented
13#19147351C211yesmaximal, characteristic, complemented
14#19147349C211yesmaximal, characteristic, complemented
15#19147327C211yesmaximal, characteristic, complemented
16#19147325C211yesmaximal, characteristic, complemented
17#19147305C211yesmaximal, characteristic, complemented
18#19147303C211yesmaximal, characteristic, complemented
19#19145695C211yesmaximal, characteristic, complemented
20#19145687C211yesmaximal, characteristic, complemented
21#19145665C211yesmaximal, characteristic, complemented
22#19145643C211yesmaximal, characteristic, complemented
23#19145615C211yesmaximal, characteristic, complemented
24#19145610C211yesmaximal, characteristic, complemented
25#19144843C211yesmaximal, characteristic, complemented
26#19144834C211yesmaximal, characteristic, complemented
27#19144782C211yesmaximal, characteristic, complemented
28#19144774C211yesmaximal, characteristic, complemented
29#19144704C211yesmaximal, characteristic, complemented
30#19143700C211yesmaximal, characteristic, complemented
31C43×#3111C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583651—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583634C2211yescharacteristic
37#14583634C2211yescharacteristic
38#14583632C2211yescharacteristic, complemented
39#14583631C2211yescharacteristic, complemented
40#14583626C2211yescharacteristic, complemented
41#14583625C2211yescharacteristic, complemented
42#14583621C2211yescharacteristic, complemented
43#14583618C2211yescharacteristic, complemented
44#14583608C2211yescharacteristic, complemented
45#14583605C2211yescharacteristic, complemented
46#14583588—21no—
47#14583582—21no—
48#14583570C2211yescharacteristic
49#14583570C2211yescharacteristic
50#14583570C2211yescharacteristic
51#14583570C2211yescharacteristic
52#14583545—21no—
53#14583545—21no—
54#14583545—21no—
55#14583545—21no—
56#14583522C2211yescharacteristic
57#14583517—21no—
58#14583516C2211yescharacteristic
59#14583514—21no—
60#14583509C2211yescharacteristic
61#14583504—21no—
62#14583504—21no—
63#14583502C2211yescharacteristic
64#14583492—21no—
65#14583491—21no—
66#14583463C2211yescharacteristic
67#14583463C2211yescharacteristic
68#14583456C2211yescharacteristic
69#14583449—21no—
70#14583449—21no—
71C2×#13063322C2211yescharacteristic
72#14583433C2211yescharacteristic
73#14583373C2211yescharacteristic
74#14583373C2211yescharacteristic
75#14583292C2211yescharacteristic, complemented
76#14583289C2211yescharacteristic
77#14583289C2211yescharacteristic
78#14583288C2211yescharacteristic
79#14583288C2211yescharacteristic
80#14583287C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583284C2211yescharacteristic, complemented
84#14583280C2211yescharacteristic, complemented
85#14583274C2211yescharacteristic, complemented
86#14583270C2211yescharacteristic, complemented
87#14583265C2211yescharacteristic
88#14583265C2211yescharacteristic
89#14583264C2211yescharacteristic
90#14583264C2211yescharacteristic
91#14583262C2211yescharacteristic, complemented
92#14583262C2211yescharacteristic, complemented
93#14583260C2211yescharacteristic, complemented
94#14583260C2211yescharacteristic, complemented
95#14583255C2211yescharacteristic, complemented
96#14583255C2211yescharacteristic, complemented
97#14583244C2211yescharacteristic, complemented
98#14583244C2211yescharacteristic, complemented
99#14583240C2211yescharacteristic
100#14583223C2211yescharacteristic
101#14583206C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic, complemented
104#14583199C2211yescharacteristic, complemented
105#14583198C2211yescharacteristic, complemented
106#14583198C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583188C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic, complemented
110#14583178C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583124C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic, complemented
114#14583123C2211yescharacteristic, complemented
115#14583121C2211yescharacteristic, complemented
116#14583117C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic, complemented
121#14583116C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic, complemented
125#14583103C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic, complemented
127#14583100C2211yescharacteristic
128#14583100C2211yescharacteristic
129#14583099C2211yescharacteristic
130#14583099C2211yescharacteristic
131#14583098C2211yescharacteristic, complemented
132#14583098C2211yescharacteristic, complemented
133#14583097C2211yescharacteristic, complemented
134#14583097C2211yescharacteristic, complemented
135#14583095C2211yescharacteristic
136#14583095C2211yescharacteristic
137#14583094C2211yescharacteristic
138#14583094C2211yescharacteristic
139#14583093C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic, complemented
141#14583093C2211yescharacteristic, complemented
142#14583093C2211yescharacteristic, complemented
143#14583092C2211yescharacteristic, complemented
144#14583092C2211yescharacteristic, complemented
145#14583061C2211yescharacteristic
146#14583052C2211yescharacteristic
147#14583052C2211yescharacteristic
148#14583049C2211yescharacteristic
149#14583049C2211yescharacteristic
150#14583044C2211yescharacteristic
151#14583035C2211yescharacteristic
152#14583035C2211yescharacteristic
153#14583032C2211yescharacteristic
154#14583032C2211yescharacteristic
155#14583028C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583028C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583027C2211yescharacteristic, complemented
161#14583027C2211yescharacteristic, complemented
162#14583027C2211yescharacteristic, complemented
163#14583010C2211yescharacteristic, complemented
164#14583010C2211yescharacteristic, complemented
165#14583009C2211yescharacteristic, complemented
166#14583008C2211yescharacteristic, complemented
167#14583008C2211yescharacteristic, complemented
168#14583004C2211yescharacteristic, complemented
169#14583002C2211yescharacteristic, complemented
170#14583002C2211yescharacteristic, complemented
171#14582999C2211yescharacteristic, complemented
172#14582998C2211yescharacteristic, complemented
173#14582998C2211yescharacteristic, complemented
174#14582997C2211yescharacteristic, complemented
175#14582986C2211yescharacteristic, complemented
176#14582986C2211yescharacteristic, complemented
177#14582984C2211yescharacteristic, complemented
178#14582984C2211yescharacteristic, complemented
179#14582981C2211yescharacteristic, complemented
180#14582981C2211yescharacteristic, complemented
181#14582979C2211yescharacteristic, complemented
182#14582979C2211yescharacteristic, complemented
183#14582957C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582957C2211yescharacteristic
187#14582956C2211yescharacteristic
188C43×#529C2211yescharacteristic
189C4×#41×C43C2211yescharacteristic
190C43×#485C2211yescharacteristic
191C43×#482C2211yescharacteristic
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898—21no—
207C22×D172—21no—
208C22×D172—21no—
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231#13063325D411yescharacteristic
232#13063325D411yescharacteristic
233#13063324—21no—
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063322—21no—
239#13063322—21no—
240#13063322C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063322C2311yescharacteristic
243#13063322C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063321C2311yescharacteristic
248#13063321C2311yescharacteristic
249#13063320—21no—
250#13063320—21no—
251#13063319—21no—
252#13063319—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063317—21no—
259#13063317D411yescharacteristic
260#13063317D411yescharacteristic
261#13063317C2311yescharacteristic
262#13063316—21no—
263#13063316—21no—
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063314C2311yescharacteristic
270#13063314C2311yescharacteristic
271#13063314C2311yescharacteristic
272#13063314C2311yescharacteristic
273#13063314C2311yescharacteristic
274#13063313—21no—
275#13063313—21no—
276#13063313—21no—
277#13063313—21no—
278#13063313C2311yescharacteristic
279#13063312—21no—
280#13063312C2311yescharacteristic
281#13063311—21no—
282#13063311—21no—
283#13063311—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063310—21no—
292#13063309—21no—
293#13063309—21no—
294#13063308—21no—
295#13063308—21no—
296#13063307—21no—
297#13063307—21no—
298#13063307—21no—
299#13063307—21no—
300#13063306—21no—
301#13063305—21no—
302#13063305—21no—
303#13063304—21no—
304#13063304D411yescharacteristic
305#13063304D411yescharacteristic
306#13063304D411yescharacteristic
307#13063304D411yescharacteristic
308#13063304C2311yescharacteristic
309#13063303—21no—
310#13063303—21no—
311#13063303—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063299—21no—
317#13063299—21no—
318#13063299—21no—
319#13063299—21no—
320#13063299—21no—
321#13063299—21no—
322#13063299—21no—
323#13063299—21no—
324#13063299C2311yescharacteristic
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063297—21no—
334#13063296—21no—
335#13063293—21no—
336#13063293—21no—
337#13063293—21no—
338#13063293—21no—
339Q8×Dic43C2311yescharacteristic
340Q8×Dic43C2311yescharacteristic
341C4×Dic86—21no—
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346C4×Dic86C2311yescharacteristic
347#13063290—21no—
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350C4×D172—21no—
351C4×D172—21no—
352C4×D172—21no—
353C4×D172—21no—
354C4×D172—21no—
355C4×D172—21no—
356C4×D172—21no—
357C4×D172—21no—
358C4×D172C2311yescharacteristic
359D4×Dic43C2311yescharacteristic
360D4×Dic43C2311yescharacteristic
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365#13063287C2311yescharacteristic
366#13063287C2311yescharacteristic
367#13063287C2311yescharacteristic
368#13063287C2311yescharacteristic
369#13063287C2311yescharacteristic
370#13063287C2311yescharacteristic
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373(C22⋊D43)⋊C4—21no—
374#13063284C2311yescharacteristic
375#13063284C2311yescharacteristic
376#13063282—21no—
377#13063282—21no—
378#13063281—21no—
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440#126×C43—21no—
441#125×C43C2311yescharacteristic
442#124×C43C2311yescharacteristic
443#123×C43—21no—
444C22⋊Q8×C43C2311yescharacteristic
445#121×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455#117×C43—21no—
456#117×C43—21no—
457#117×C43C2311yescharacteristic
458C2×C42×C43—21no—
459C2×C42×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480#41×C43—41no—
481#41×C43—41no—
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2×D411yescharacteristic
493C22×C4×C43C2×D411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
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⋊D43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508#10621898—82no—
509#10621898—82no—
510#10621898—82no—
511#10621898—82no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—41no—
523C2×D172—41no—
524C2×D172—41no—
525C2×D172—41no—
526C2×D172—82no—
527C2×D172—82no—
528C2×D172C2411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×D172C2411yescharacteristic
531C2×D172C2411yescharacteristic
532C2×D172C2411yescharacteristic
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2411yescharacteristic
551Q16×C43—41no—
552SD16×C43—41no—
553SD16×C43—41no—
554D8×C43—41no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
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—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43—21no—
580C42×C43—21no—
581C42×C43C2×D411yescharacteristic
582C42×C43C2×D411yescharacteristic
583C42×C43C2411yescharacteristic
584C42×C43C2411yescharacteristic
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594#10621885—41no—
595#10621884—41no—
596#10621884—41no—
597#10621884—41no—
598#10621884—41no—
599#10621884—41no—
600#10621883—41no—
601#10621882—41no—
602#10621882—41no—
603#10621882—41no—
604#10621882—41no—
605#10621882—41no—
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)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677D344—41no—
678D344—41no—
679D344—41no—
680D344—41no—
681#10621873—41no—
682#10621873—41no—
683#10621873—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—42no—
694C22×D43—42no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43—81no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—42no—
708D4×C43—81no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—41no—
718C2×C4×C43—41no—
719C2×C4×C43—42no—
720C2×C4×C43—42no—
721C2×C4×C43—42no—
722C2×C4×C43—81no—
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C2511yescharacteristic
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—81no—
744C2×Dic43—81no—
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753D172—21no—
754D172—21no—
755D172—21no—
756D172—21no—
757D172—21no—
758D172—21no—
759D172—21no—
760D172—21no—
761D172—21no—
762D172—21no—
763D172—42no—
764D172—42no—
765D172—42no—
766D172—42no—
767D172—42no—
768D172—42no—
769D172—81no—
770D172—81no—
771D172—81no—
772D172—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784Dic86—21no—
785Dic86—21no—
786Dic86—41no—
787Dic86—41no—
788Dic86—41no—
789Dic86—41no—
790Dic86—81no—
791Dic86—81no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8—21no—
799C43⋊C8—21no—
800#61945—431nomaximal, Sylow
801C22×C43—21no—
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×C43C23×D411yescharacteristic
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—162no—
827C2×D43—162no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43#58511yescharacteristic
840C4×C43#58511yescharacteristic
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—21no—
848Dic43—21no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852#3557—431no—
853#3508—431no—
854#3403—431no—
855#3403—431no—
856#3401—431no—
857#3401—431no—
858#3399—431no—
859#3399—431no—
860#3397—431no—
861#3397—431no—
862#3371—431no—
863#3371—431no—
864#3370—431no—
865#3370—431no—
866#3368—431no—
867#3368—431no—
868#3366—431no—
869#3366—431no—
870#3224—431no—
871#3224—431no—
872#3222—431no—
873#3220—431no—
874#3217—431no—
875#3217—431no—
876#3123—431no—
877#3122—431no—
878#3118—431no—
879#3118—431no—
880#3111—431no—
881#3111D4311yescharacteristic, complemented
882#2987—431no—
883C2×C43—41no—
884C2×C43—81no—
885C2×C43—81no—
886C2×C43#348711yescharacteristic
887C2×C43#358511yescharacteristic
888C2×C43#358511yescharacteristic
889D43—81no—
890D43—81no—
891D43—81no—
892D43—81no—
893D43—81no—
894#563—861no—
895#563—861no—
896#559—431no—
897#559—431no—
898#559—431no—
899#559—431no—
900#559—431no—
901#559—431no—
902#557—431no—
903#557—431no—
904#556—431no—
905#556—431no—
906#554—431no—
907#554—431no—
908#552—861no—
909#552—861no—
910#550—431no—
911#550—431no—
912#550—431no—
913#550—431no—
914#546—861no—
915#546—861no—
916#546—861no—
917#546—861no—
918#542—431no—
919#542—431no—
920#542—861no—
921#542—861no—
922#541—431no—
923#540—431no—
924#540—861no—
925#540—861no—
926#539—861no—
927#539—861no—
928#535—431no—
929#535—431no—
930#533—431no—
931#532—861no—
932#532—861no—
933C2×#127—431no—
934#529—431no—
935#529C2×D4311yescharacteristic
936#518—431no—
937#518—431no—
938C4×#41C2×D4311yescharacteristic
939#497—431no—
940#496—431no—
941#496—431no—
942#496—431no—
943#496—431no—
944#496—431no—
945#496—431no—
946#496—431no—
947#495—431no—
948#495—431no—
949#493—431no—
950#492—431no—
951#490—431no—
952#490—431no—
953#490—431no—
954#490—431no—
955#490—431no—
956#490—431no—
957#489—431no—
958#489—431no—
959#488—431no—
960#488—431no—
961#486—431no—
962#486—431no—
963#485—431no—
964#485C2×D4311yescharacteristic
965#482—431no—
966#482C2×D4311yescharacteristic
967#479—431no—
968#479C2×D4311yescharacteristic, complemented
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478C2×D4311yescharacteristic, complemented
975#476—431no—
976#476—431no—
977#474—431no—
978#474—431no—
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464C2×D4311yescharacteristic, complemented
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#463—431no—
992#463—431no—
993#463—431no—
994#463C2×D4311yescharacteristic, complemented
995#461—431no—
996#461—431no—
997#460—431no—
998#460—431no—
999#460—431no—
1000#460—431no—
1001#460—431no—
1002#460—431no—
1003#460—431no—
1004#460—431no—
1005#459—431no—
1006#459—431no—
1007#459—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#452—431no—
1016#452C2×D4311yescharacteristic
1017#450—431no—
1018#450—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449C2×D4311yescharacteristic
1023#447—431no—
1024#447—431no—
1025#447—431no—
1026#447—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446—431no—
1031#446—431no—
1032#446—431no—
1033#446—431no—
1034#446—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441C2×D4311yescharacteristic, complemented
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440C2×D4311yescharacteristic, complemented
1050#440C2×D4311yescharacteristic, complemented
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#433—431no—
1063#432—431no—
1064#432C2×D4311yescharacteristic
1065C43#6194511yescharacteristic, complemented, Sylow
1066C2×#41—861no—
1067C2×#41—861no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41C22×D4311yescharacteristic
1071C22×D4—431no—
1072C22×D4—431no—
1073C22×D4—861no—
1074C22×D4—861no—
1075C2×Q16—431no—
1076C2×Q16C22×D4311yescharacteristic
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16C22×D4311yescharacteristic
1088C2×SD16C22×D4311yescharacteristic
1089C2×D8—431no—
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8—431no—
1094C2×D8—431no—
1095C2×D8—431no—
1096C2×D8—431no—
1097C2×D8—431no—
1098C2×D8C22×D4311yescharacteristic
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—431no—
1104C4⋊Q8—861no—
1105C4⋊Q8—861no—
1106#127—431no—
1107#127—431no—
1108#127—431no—
1109#127—431no—
1110#127—431no—
1111#127—431no—
1112#127—431no—
1113#127—431no—
1114#127—431no—
1115#127—861no—
1116#127—861no—
1117#126—21no—
1118#126—861no—
1119#126—861no—
1120#126—861no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#125—431no—
1128#125—431no—
1129#125—431no—
1130#125—431no—
1131#125—431no—
1132#125—861no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125C22×D4311yescharacteristic
1139#124—431no—
1140#124—431no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124C22×D4311yescharacteristic
1155#123—21no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
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—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8C22×D4311yescharacteristic
1189#121—431no—
1190#121—861no—
1191#121—861no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121C22×D4311yescharacteristic
1209#120—861no—
1210#120—861no—
1211#120—861no—
1212#120—861no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—861no—
1223C4×Q8—861no—
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4C22×D4311yescharacteristic
1255C4×D4C22×D4311yescharacteristic
1256C4×D4C22×D4311yescharacteristic
1257#117—21no—
1258#117—21no—
1259#117—431no—
1260#117—431no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117C22×D4311yescharacteristic
1265C2×C4⋊C4—861no—
1266C2×C4⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C22⋊C4—861no—
1270C2×C22⋊C4—861no—
1271C2×C42—21no—
1272C2×C42C22×D4311yescharacteristic
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289C4⋊C8—431no—
1290C4⋊C8—431no—
1291C4⋊C8C22×D4311yescharacteristic
1292C4⋊C8C22×D4311yescharacteristic
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8C22×D4311yescharacteristic
1328C22⋊C8C22×D4311yescharacteristic
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97C22×D4311yescharacteristic
1336#97C22×D4311yescharacteristic
1337C4×C8—431no—
1338C4×C8—431no—
1339C4×C8—431no—
1340C4×C8—431no—
1341C24—861no—
1342C24—861no—
1343#41—41no—
1344#41—41no—
1345#41—3442no—
1346#41—3442no—
1347#41—3442no—
1348#41—3442no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
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×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—3442no—
1387C2×D4—3442no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C2×D4—1721no—
1392C2×D4C23×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4D4×D4311yescharacteristic
1412C22×C4D4×D4311yescharacteristic
1413C22×C4C23×D4311yescharacteristic
1414Q16—41no—
1415Q16—1721no—
1416SD16—41no—
1417SD16—41no—
1418SD16—1721no—
1419SD16—1721no—
1420SD16—1721no—
1421SD16—1721no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427SD16—1721no—
1428D8—41no—
1429D8—1721no—
1430D8—1721no—
1431D8—1721no—
1432D8—1721no—
1433D8—1721no—
1434D8—1721no—
1435D8—1721no—
1436D8—1721no—
1437D8—1721no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8C23×D4311yescharacteristic
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—431no—
1469C4⋊C4—431no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C4⋊C4C23×D4311yescharacteristic
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
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⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—431no—
1536C42—431no—
1537C42—431no—
1538C42—431no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42D4×D4311yescharacteristic
1545C42D4×D4311yescharacteristic
1546C42C23×D4311yescharacteristic
1547C42C23×D4311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—861no—
1551C23—861no—
1552C23—861no—
1553C23—861no—
1554C23—861no—
1555C23—3441no—
1556C23—3441no—
1557C23—3441no—
1558C23—3441no—
1559C23—1722no—
1560C23—1722no—
1561C23C2×D4×D4311yescharacteristic
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—861no—
1567Q8—861no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1721no—
1572Q8—1721no—
1573Q8—1721no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—42no—
1579D4—81no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—861no—
1587D4—861no—
1588D4—861no—
1589D4—861no—
1590D4—3441no—
1591D4—3441no—
1592D4—3441no—
1593D4—3441no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608D4—1722no—
1609D4—1722no—
1610D4—1722no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—81no—
1625C2×C4—431no—
1626C2×C4—431no—
1627C2×C4—431no—
1628C2×C4—431no—
1629C2×C4—431no—
1630C2×C4—431no—
1631C2×C4—431no—
1632C2×C4—431no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—3441no—
1645C2×C4—3441no—
1646C2×C4—3441no—
1647C2×C4—3441no—
1648C2×C4—3441no—
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C24×D4311yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C8—861no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22—1721no—
1676C22—1721no—
1677C22—1721no—
1678C22—1721no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—6882no—
1688C22—6882no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—861no—
1708C4—861no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4#1458373511yescharacteristic
1713C4#1458373511yescharacteristic
1714C2—41no—
1715C2—81no—
1716C2—81no—
1717C2—3441no—
1718C2—3441no—
1719C2—3441no—
1720C2—3441no—
1721C2—3441no—
1722C2#1914824911yescharacteristic
1723C2#1914937211yescharacteristic
1724C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3111C2
socleC22×C43C23×D4
hypercenter#3111D43
hypocenterC43#61945
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #19149097C2semidirect
2. #19148471C2semidirect
3. #19147684C2semidirect
4. #19147682C2semidirect
5. #19147664C2semidirect
6. #19147662C2semidirect
7. #19147638C2semidirect
8. #19147632C2semidirect
9. #19147618C2semidirect
10. #19147616C2semidirect
11. #19147366C2semidirect
12. #19147364C2semidirect
13. #19147351C2semidirect
14. #19147349C2semidirect
15. #19147327C2semidirect
16. #19147325C2semidirect
17. #19147305C2semidirect
18. #19147303C2semidirect
19. #19145695C2semidirect
20. #19145687C2semidirect
21. #19145665C2semidirect
22. #19145643C2semidirect
23. #19145615C2semidirect
24. #19145610C2semidirect
25. #19144843C2semidirect
26. #19144834C2semidirect
27. #19144782C2semidirect
28. #19144774C2semidirect
29. #19144704C2semidirect
30. #19143700C2semidirect
31. C43×#3111C2semidirect
38. #14583632C22semidirect
39. #14583631C22semidirect
40. #14583626C22semidirect
41. #14583625C22semidirect
42. #14583621C22semidirect
43. #14583618C22semidirect
44. #14583608C22semidirect
45. #14583605C22semidirect
75. #14583292C22semidirect
80. #14583287C22semidirect
81. #14583285C22semidirect
82. #14583285C22semidirect
83. #14583284C22semidirect
84. #14583280C22semidirect
85. #14583274C22semidirect
86. #14583270C22semidirect
91. #14583262C22semidirect
92. #14583262C22semidirect
93. #14583260C22semidirect
94. #14583260C22semidirect
95. #14583255C22semidirect
96. #14583255C22semidirect
97. #14583244C22semidirect
98. #14583244C22semidirect
101. #14583206C22semidirect
102. #14583202C22semidirect
103. #14583202C22semidirect
104. #14583199C22semidirect
105. #14583198C22semidirect
106. #14583198C22semidirect
107. #14583188C22semidirect
108. #14583188C22semidirect
109. #14583178C22semidirect
110. #14583178C22semidirect
111. #14583124C22semidirect
112. #14583124C22semidirect
113. #14583123C22semidirect
114. #14583123C22semidirect
115. #14583121C22semidirect
116. #14583117C22semidirect
117. #14583117C22semidirect
118. #14583117C22semidirect
119. #14583117C22semidirect
120. #14583116C22semidirect
121. #14583116C22semidirect
122. #14583114C22semidirect
123. #14583113C22semidirect
124. #14583113C22semidirect
125. #14583103C22semidirect
126. #14583103C22semidirect
131. #14583098C22semidirect
132. #14583098C22semidirect
133. #14583097C22semidirect
134. #14583097C22semidirect
139. #14583093C22semidirect
140. #14583093C22semidirect
141. #14583093C22semidirect
142. #14583093C22semidirect
143. #14583092C22semidirect
144. #14583092C22semidirect
155. #14583028C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583028C22semidirect
159. #14583027C22semidirect
160. #14583027C22semidirect
161. #14583027C22semidirect
162. #14583027C22semidirect
163. #14583010C22semidirect
164. #14583010C22semidirect
165. #14583009C22semidirect
166. #14583008C22semidirect
167. #14583008C22semidirect
168. #14583004C22semidirect
169. #14583002C22semidirect
170. #14583002C22semidirect
171. #14582999C22semidirect
172. #14582998C22semidirect
173. #14582998C22semidirect
174. #14582997C22semidirect
175. #14582986C22semidirect
176. #14582986C22semidirect
177. #14582984C22semidirect
178. #14582984C22semidirect
179. #14582981C22semidirect
180. #14582981C22semidirect
181. #14582979C22semidirect
182. #14582979C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
198. C43×#442C22semidirect
199. C43×#441C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
881. #3111D43semidirect
968. #479C2×D43semidirect
974. #478C2×D43semidirect
984. #464C2×D43semidirect
994. #463C2×D43semidirect
1040. #442C2×D43semidirect
1042. #441C2×D43semidirect
1049. #440C2×D43semidirect
1050. #440C2×D43semidirect
1065. C43#61945semidirect

Maximal subgroups

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

subgroupindex
#191490972
#191484712
#191476842
#191476822
#191476642
#191476622
#191476382
#191476322
#191476182
#191476162
#191473662
#191473642
#191473512
#191473492
#191473272
#191473252
#191473052
#191473032
#191456952
#191456872
#191456652
#191456432
#191456152
#191456102
#191448432
#191448342
#191447822
#191447742
#191447042
#191437002
C43×#31112
#6194543