Finite Group Databasebeta

← #25988603

Subgroups — #25988603

Order 11008.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149064C211yesmaximal, characteristic, complemented
2#19148453C211yesmaximal, characteristic, complemented
3#19147684C211yesmaximal, characteristic, complemented
4#19147683C211yesmaximal, characteristic, complemented
5#19147665C211yesmaximal, characteristic, complemented
6#19147658C211yesmaximal, characteristic, complemented
7#19147651C211yesmaximal, characteristic, complemented
8#19147646C211yesmaximal, characteristic, complemented
9#19147616C211yesmaximal, characteristic, complemented
10#19147613C211yesmaximal, characteristic, complemented
11#19147438C211yesmaximal, characteristic, complemented
12#19147433C211yesmaximal, characteristic, complemented
13#19147377C211yesmaximal, characteristic, complemented
14#19147375C211yesmaximal, characteristic, complemented
15#19147355C211yesmaximal, characteristic, complemented
16#19147344C211yesmaximal, characteristic, complemented
17#19147316C211yesmaximal, characteristic, complemented
18#19147312C211yesmaximal, characteristic, complemented
19#19145708C211yesmaximal, characteristic, complemented
20#19145698C211yesmaximal, characteristic, complemented
21#19145658C211yesmaximal, characteristic, complemented
22#19145654C211yesmaximal, characteristic, complemented
23#19145636C211yesmaximal, characteristic, complemented
24#19145587C211yesmaximal, characteristic, complemented
25#19144860C211yesmaximal, characteristic, complemented
26#19144797C211yesmaximal, characteristic, complemented
27#19144794C211yesmaximal, characteristic, complemented
28#19144769C211yesmaximal, characteristic, complemented
29#19144714C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3124C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583643—21no—
34#14583634C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583631C2211yescharacteristic
39#14583627C2211yescharacteristic
40#14583627C2211yescharacteristic
41#14583625C2211yescharacteristic
42#14583621C2211yescharacteristic
43#14583621C2211yescharacteristic
44#14583619C2211yescharacteristic
45#14583619C2211yescharacteristic
46#14583617—21no—
47#14583610C2211yescharacteristic
48#14583608C2211yescharacteristic
49#14583604—21no—
50#14583588—21no—
51#14583584—21no—
52#14583570C2211yescharacteristic
53#14583564C2211yescharacteristic
54#14583557—21no—
55#14583547—21no—
56#14583522C2211yescharacteristic
57#14583515—21no—
58#14583504C2211yescharacteristic
59#14583502C2211yescharacteristic
60#14583498—21no—
61#14583491—21no—
62#14583491—21no—
63#14583490—21no—
64#14583475C2211yescharacteristic
65#14583472—21no—
66#14583470C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583445C2211yescharacteristic
69#14583444C2211yescharacteristic
70#14583435C2211yescharacteristic
71#14583429—21no—
72#14583429—21no—
73#14583380C2211yescharacteristic
74C2×#13063290C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583292C2211yescharacteristic
78#14583288C2211yescharacteristic
79#14583287C2211yescharacteristic
80#14583287C2211yescharacteristic
81#14583285C2211yescharacteristic
82#14583285C2211yescharacteristic
83#14583281C2211yescharacteristic
84#14583280C2211yescharacteristic
85#14583272C2211yescharacteristic
86#14583270C2211yescharacteristic
87#14583268C2211yescharacteristic
88#14583266C2211yescharacteristic
89#14583266C2211yescharacteristic
90#14583262C2211yescharacteristic
91#14583261C2211yescharacteristic
92#14583260C2211yescharacteristic
93#14583257C2211yescharacteristic
94#14583257C2211yescharacteristic
95#14583254C2211yescharacteristic
96#14583252C2211yescharacteristic
97#14583251C2211yescharacteristic
98#14583248C2211yescharacteristic
99#14583217C2211yescharacteristic
100#14583212C2211yescharacteristic
101#14583206C2211yescharacteristic
102#14583205C2211yescharacteristic
103#14583205C2211yescharacteristic
104#14583205C2211yescharacteristic
105#14583202C2211yescharacteristic
106#14583199C2211yescharacteristic
107#14583193C2211yescharacteristic
108#14583193C2211yescharacteristic
109#14583193C2211yescharacteristic
110#14583178C2211yescharacteristic
111#14583124C2211yescharacteristic
112#14583124C2211yescharacteristic
113#14583124C2211yescharacteristic
114#14583123C2211yescharacteristic
115#14583121C2211yescharacteristic
116#14583119C2211yescharacteristic
117#14583119C2211yescharacteristic
118#14583117C2211yescharacteristic
119#14583117C2211yescharacteristic
120#14583115C2211yescharacteristic
121#14583115C2211yescharacteristic
122#14583114C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583113C2211yescharacteristic
125#14583113C2211yescharacteristic
126#14583112C2211yescharacteristic
127#14583109C2211yescharacteristic
128#14583107C2211yescharacteristic
129#14583105C2211yescharacteristic
130#14583105C2211yescharacteristic
131#14583104C2211yescharacteristic
132#14583103C2211yescharacteristic
133#14583103C2211yescharacteristic
134#14583103C2211yescharacteristic
135#14583102C2211yescharacteristic
136#14583102C2211yescharacteristic
137#14583099C2211yescharacteristic
138#14583098C2211yescharacteristic
139#14583098C2211yescharacteristic
140#14583098C2211yescharacteristic
141#14583094C2211yescharacteristic
142#14583093C2211yescharacteristic
143#14583093C2211yescharacteristic
144#14583092C2211yescharacteristic
145#14583059C2211yescharacteristic
146#14583054C2211yescharacteristic
147#14583046C2211yescharacteristic
148#14583046C2211yescharacteristic
149#14583044C2211yescharacteristic
150#14583044C2211yescharacteristic
151#14583042C2211yescharacteristic
152#14583040C2211yescharacteristic
153#14583040C2211yescharacteristic
154#14583037C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583029C2211yescharacteristic
157#14583028C2211yescharacteristic
158#14583028C2211yescharacteristic
159#14583027C2211yescharacteristic
160#14583027C2211yescharacteristic
161#14583026C2211yescharacteristic
162#14583026C2211yescharacteristic
163#14583009C2211yescharacteristic
164#14583008C2211yescharacteristic
165#14583003C2211yescharacteristic
166#14583003C2211yescharacteristic
167#14583002C2211yescharacteristic
168#14582998C2211yescharacteristic
169#14582998C2211yescharacteristic
170#14582998C2211yescharacteristic
171#14582998C2211yescharacteristic
172#14582998C2211yescharacteristic
173#14582998C2211yescharacteristic
174#14582997C2211yescharacteristic
175#14582996C2211yescharacteristic
176#14582996C2211yescharacteristic
177#14582991C2211yescharacteristic
178#14582990C2211yescharacteristic
179C4×#10621884C2211yescharacteristic
180#14582981C2211yescharacteristic
181#14582981C2211yescharacteristic
182C4×#10621882C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#484C2211yescharacteristic
191C43×#480C2211yescharacteristic
192C43×#477C2211yescharacteristic
193C43×#474C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#452C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#440C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C22×Dic86C2311yescharacteristic
207C2×Q8×D43—21no—
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324D411yescharacteristic
232#13063324D411yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063319—21no—
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063317—21no—
253#13063317—21no—
254#13063317—21no—
255#13063317C2311yescharacteristic
256#13063316—21no—
257#13063316D411yescharacteristic
258#13063316D411yescharacteristic
259#13063316C2311yescharacteristic
260#13063316C2311yescharacteristic
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063314C2311yescharacteristic
266#13063314C2311yescharacteristic
267#13063314C2311yescharacteristic
268#13063313—21no—
269#13063313C2311yescharacteristic
270#13063313C2311yescharacteristic
271#13063312C2311yescharacteristic
272#13063312C2311yescharacteristic
273#13063312C2311yescharacteristic
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063309—21no—
285#13063309—21no—
286#13063309—21no—
287#13063309—21no—
288#13063309—21no—
289#13063309—21no—
290#13063308—21no—
291#13063308—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063306—21no—
299#13063306—21no—
300#13063305—21no—
301#13063305—21no—
302#13063305—21no—
303#13063305—21no—
304#13063304—21no—
305#13063304—21no—
306#13063304—21no—
307#13063304—21no—
308#13063304—21no—
309#13063303—21no—
310#13063303—21no—
311#13063303—21no—
312#13063303—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302D411yescharacteristic
316#13063302D411yescharacteristic
317#13063302D411yescharacteristic
318#13063302D411yescharacteristic
319#13063301—21no—
320#13063301—21no—
321#13063301—21no—
322#13063299—21no—
323#13063299C2311yescharacteristic
324#13063299C2311yescharacteristic
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063296—21no—
334Q8×Dic43C2311yescharacteristic
335Q8×Dic43C2311yescharacteristic
336C4×Dic86—21no—
337C4×Dic86—21no—
338C4×Dic86—21no—
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343#13063290—21no—
344#13063290—21no—
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351C4×D172—21no—
352C4×D172C2311yescharacteristic
353C4×D172C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361#13063287C2311yescharacteristic
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372#13063284—21no—
373#13063284—21no—
374#13063284C2311yescharacteristic
375#13063283—21no—
376#13063283—21no—
377#13063282—21no—
378#13063282—21no—
379C2×Dic43⋊C4—21no—
380C2×Dic43⋊C4—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
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#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459C2×C4⋊C4×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×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
477C4×C8×C43C2311yescharacteristic
478#41×C43—41no—
479#41×C43—41no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
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—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43C2×D411yescharacteristic
506C22×Dic43C2×D411yescharacteristic
507Q8×D43—82no—
508#10621900—82no—
509#10621898—41no—
510#10621898—41no—
511#10621898—82no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172C2411yescharacteristic
515C2×D172C2411yescharacteristic
516C2×D172C2411yescharacteristic
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—41no—
530C2×Dic86—41no—
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2×D411yescharacteristic
535C2×Dic86C2411yescharacteristic
536C2×Dic86C2411yescharacteristic
537C2×Dic86C2411yescharacteristic
538Q16×C43—41no—
539SD16×C43—41no—
540SD16×C43—41no—
541D8×C43—41no—
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43C2×D411yescharacteristic
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43C2×D411yescharacteristic
566C22⋊C4×C43C2×D411yescharacteristic
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43C2411yescharacteristic
571C42×C43C2411yescharacteristic
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43C2×D411yescharacteristic
581C22⋊Dic43C2×D411yescharacteristic
582#10621885—41no—
583#10621885—41no—
584#10621885—41no—
585#10621884—41no—
586#10621884—41no—
587#10621884—41no—
588#10621883—41no—
589#10621883—41no—
590#10621883—41no—
591#10621882—41no—
592#10621882—41no—
593#10621882—41no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
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—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2×D411yescharacteristic
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C4×Dic43C2411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674D344—41no—
675D344—41no—
676#10621873—41no—
677#10621873—41no—
678#10621873—41no—
679#10621873—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—81no—
693D4×C43—21no—
694D4×C43—21no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—42no—
698D4×C43—81no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—42no—
708C2×C4×C43—81no—
709C2×C4×C43—81no—
710C2×C4×C43—81no—
711C2×C4×C43—81no—
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C2511yescharacteristic
718C22⋊D43—42no—
719C22⋊D43—42no—
720C22⋊D43—42no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—41no—
733C2×Dic43—41no—
734C2×Dic43—42no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745D172—21no—
746D172—21no—
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—81no—
752D172—81no—
753C4×D43—42no—
754C4×D43—42no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762Dic86—21no—
763Dic86—21no—
764Dic86—21no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—41no—
769Dic86—41no—
770Dic86—41no—
771Dic86—41no—
772Dic86—42no—
773Dic86—42no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61940—431nomaximal, Sylow
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C4×C43—21no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43#58511yescharacteristic
815C4×C43#58511yescharacteristic
816Dic43—21no—
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829#3554—431no—
830#3507—431no—
831#3403—431no—
832#3403—431no—
833#3401—431no—
834#3401—431no—
835#3400—431no—
836#3400—431no—
837#3397—431no—
838#3397—431no—
839#3377—431no—
840#3377—431no—
841#3372—431no—
842#3372—431no—
843#3370—431no—
844#3370—431no—
845#3367—431no—
846#3367—431no—
847#3225—431no—
848#3225—431no—
849#3221—431no—
850#3221—431no—
851#3219—431no—
852#3214—431no—
853#3124—431no—
854#3124D4311yescharacteristic, complemented
855#3119—431no—
856#3119—431no—
857#3117—431no—
858#3112—431no—
859#2987—431no—
860C2×C43—41no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43#348711yescharacteristic
864C2×C43#358511yescharacteristic
865C2×C43#358611yescharacteristic
866D43—81no—
867D43—81no—
868D43—81no—
869#562—861no—
870#562—861no—
871#559—431no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876#557—431no—
877#557—431no—
878#557—431no—
879#556—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—861no—
884#554—431no—
885#554—431no—
886#554—861no—
887#552—861no—
888#552—861no—
889#550—431no—
890D4×Q8—431no—
891#548—861no—
892#547—861no—
893#542—431no—
894#542—861no—
895#542C2×D4311yescharacteristic
896#540—431no—
897#540—431no—
898#539—861no—
899#539—861no—
900#539—861no—
901#539—861no—
902#536—431no—
903#536—431no—
904#536—861no—
905#533—431no—
906#532—431no—
907#532—431no—
908#529—431no—
909#529—861no—
910#529—861no—
911#520—431no—
912#520C2×D4311yescharacteristic
913C2×C4×Q8—431no—
914#497—431no—
915#497—431no—
916#497—431no—
917#496—431no—
918#496—431no—
919#496—431no—
920#496—431no—
921#496—431no—
922#495—431no—
923#495—431no—
924#492—431no—
925#492—431no—
926#491—431no—
927#491—431no—
928#491—431no—
929#490—431no—
930#489—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#488—431no—
935#488—431no—
936#487—431no—
937#487—431no—
938#484C2×D4311yescharacteristic
939#481—431no—
940#480—431no—
941#480C2×D4311yescharacteristic
942#479—431no—
943#479—431no—
944#479—431no—
945#479—431no—
946#478—431no—
947#478—431no—
948#477—431no—
949#477—431no—
950#477—431no—
951#477C2×D4311yescharacteristic
952#474—431no—
953#474C2×D4311yescharacteristic
954#464—431no—
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464C2×D4311yescharacteristic
962#463—431no—
963#463—431no—
964#463—431no—
965#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463C2×D4311yescharacteristic
972#462—431no—
973#462—431no—
974#461—431no—
975#461—431no—
976#461—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#461—431no—
982#460—431no—
983#460—431no—
984#460—431no—
985#460—431no—
986#459—431no—
987#459—431no—
988#459—431no—
989#459—431no—
990#452—431no—
991#452C2×D4311yescharacteristic
992#451—431no—
993#449—431no—
994#449—431no—
995#449—431no—
996#449—431no—
997#449—431no—
998#449C2×D4311yescharacteristic
999#448—431no—
1000#448—431no—
1001#448—431no—
1002#446—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440C2×D4311yescharacteristic
1025#440C2×D4311yescharacteristic
1026C4×Q16—431no—
1027C4×Q16C2×D4311yescharacteristic
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×D8—431no—
1031C4×D8—431no—
1032C4×D8—431no—
1033C4×D8C2×D4311yescharacteristic
1034#433—431no—
1035#433—431no—
1036#433—431no—
1037#433C2×D4311yescharacteristic
1038#432—431no—
1039#432—431no—
1040C43#6194011yescharacteristic, complemented, Sylow
1041C2×#41—431no—
1042C2×#41—861no—
1043C2×#41—861no—
1044C2×#41C22×D4311yescharacteristic
1045C22×Q8—431no—
1046C22×Q8—861no—
1047C2×Q16—431no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16C22×D4311yescharacteristic
1051C2×SD16—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16C22×D4311yescharacteristic
1064C2×SD16C22×D4311yescharacteristic
1065C2×D8—431no—
1066C2×D8—431no—
1067C2×D8—431no—
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8C22×D4311yescharacteristic
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—861no—
1081C4⋊Q8C22×D4311yescharacteristic
1082#127—431no—
1083#127—431no—
1084#127—431no—
1085#127—431no—
1086#126—21no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#125—431no—
1098#125—431no—
1099#125—431no—
1100#125—431no—
1101#125—431no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#124—21no—
1111#124—431no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124C22×D4311yescharacteristic
1127#123—21no—
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—
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—
1148C22⋊Q8—21no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8C22×D4311yescharacteristic
1172#121—431no—
1173#121—431no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121C22×D4311yescharacteristic
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—431no—
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—861no—
1218C4×D4—861no—
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×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230C4×D4C22×D4311yescharacteristic
1231#117—21no—
1232#117—431no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117C22×D4311yescharacteristic
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4C22×D4311yescharacteristic
1246C2×C42—431no—
1247C2×C42—861no—
1248#107—431no—
1249#107—431no—
1250#107C22×D4311yescharacteristic
1251#107C22×D4311yescharacteristic
1252#107C22×D4311yescharacteristic
1253#107C22×D4311yescharacteristic
1254#106—431no—
1255#106—431no—
1256C4⋊C8—431no—
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8C22×D4311yescharacteristic
1303C22⋊C8C22×D4311yescharacteristic
1304#97—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312C4×C8—431no—
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8C22×D4311yescharacteristic
1316#41—41no—
1317#41—41no—
1318#41—3442no—
1319#41—3442no—
1320#41—1721no—
1321#41—1721no—
1322C2×Q8—21no—
1323C2×Q8—431no—
1324C2×Q8—431no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—3442no—
1334C2×Q8—1721no—
1335C2×Q8—1721no—
1336C2×Q8C23×D4311yescharacteristic
1337C2×Q8C23×D4311yescharacteristic
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4C23×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4C23×D4311yescharacteristic
1376Q16—41no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380SD16—41no—
1381SD16—41no—
1382SD16—1721no—
1383SD16—1721no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393SD16—1721no—
1394D8—41no—
1395D8—1721no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399D8—1721no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—431no—
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1457C4⋊C4D4×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1500C22⋊C4D4×D4311yescharacteristic
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—431no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42C23×D4311yescharacteristic
1519C42C23×D4311yescharacteristic
1520C23—21no—
1521C23—21no—
1522C23—861no—
1523C23—861no—
1524C23—861no—
1525C23C2×D4×D4311yescharacteristic
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—81no—
1531Q8—861no—
1532Q8—861no—
1533Q8—861no—
1534Q8—861no—
1535Q8—861no—
1536Q8—861no—
1537Q8—3441no—
1538Q8—1721no—
1539Q8—1721no—
1540Q8—1721no—
1541Q8—1721no—
1542Q8—1722no—
1543Q8—1722no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—42no—
1549D4—81no—
1550D4—861no—
1551D4—861no—
1552D4—861no—
1553D4—861no—
1554D4—861no—
1555D4—861no—
1556D4—3441no—
1557D4—3441no—
1558D4—3441no—
1559D4—3441no—
1560D4—3441no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—1722no—
1565D4—1722no—
1566D4—1722no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—42no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—3441no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—1722no—
1603C2×C4—1722no—
1604C2×C4—1721no—
1605C2×C4—1721no—
1606C2×C4—1722no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C24×D4311yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—861no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—1721no—
1631C22—1721no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22C22×D4×D4311yescharacteristic
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—861no—
1652C4—861no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—1721no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4#1458373511yescharacteristic
1665C4#1458373511yescharacteristic
1666C2—41no—
1667C2—81no—
1668C2—81no—
1669C2—3441no—
1670C2—3441no—
1671C2—3441no—
1672C2#1914824911yescharacteristic
1673C2#1914937011yescharacteristic
1674C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3124C2
socleC22×C43C23×D4
hypercenter#3124D43
hypocenterC43#61940
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #19149064C2semidirect
2. #19148453C2semidirect
3. #19147684C2semidirect
4. #19147683C2semidirect
5. #19147665C2semidirect
6. #19147658C2semidirect
7. #19147651C2semidirect
8. #19147646C2semidirect
9. #19147616C2semidirect
10. #19147613C2semidirect
11. #19147438C2semidirect
12. #19147433C2semidirect
13. #19147377C2semidirect
14. #19147375C2semidirect
15. #19147355C2semidirect
16. #19147344C2semidirect
17. #19147316C2semidirect
18. #19147312C2semidirect
19. #19145708C2semidirect
20. #19145698C2semidirect
21. #19145658C2semidirect
22. #19145654C2semidirect
23. #19145636C2semidirect
24. #19145587C2semidirect
25. #19144860C2semidirect
26. #19144797C2semidirect
27. #19144794C2semidirect
28. #19144769C2semidirect
29. #19144714C2semidirect
30. #19143699C2semidirect
31. C43×#3124C2semidirect
854. #3124D43semidirect
1040. C43#61940semidirect

Maximal subgroups

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

subgroupindex
#191490642
#191484532
#191476842
#191476832
#191476652
#191476582
#191476512
#191476462
#191476162
#191476132
#191474382
#191474332
#191473772
#191473752
#191473552
#191473442
#191473162
#191473122
#191457082
#191456982
#191456582
#191456542
#191456362
#191455872
#191448602
#191447972
#191447942
#191447692
#191447142
#191436992
C43×#31242
#6194043