Finite Group Databasebeta

← #25988584

Subgroups — #25988584

Order 11008.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149081C211yesmaximal, characteristic, complemented
2#19148440C211yesmaximal, characteristic, complemented
3#19147675C211yesmaximal, characteristic, complemented
4#19147674C211yesmaximal, characteristic, complemented
5#19147664C211yesmaximal, characteristic, complemented
6#19147659C211yesmaximal, characteristic, complemented
7#19147649C211yesmaximal, characteristic, complemented
8#19147646C211yesmaximal, characteristic, complemented
9#19147618C211yesmaximal, characteristic, complemented
10#19147613C211yesmaximal, characteristic, complemented
11#19147444C211yesmaximal, characteristic, complemented
12#19147433C211yesmaximal, characteristic, complemented
13#19147412C211yesmaximal, characteristic, complemented
14#19147408C211yesmaximal, characteristic, complemented
15#19147349C211yesmaximal, characteristic, complemented
16#19147344C211yesmaximal, characteristic, complemented
17#19147325C211yesmaximal, characteristic, complemented
18#19147323C211yesmaximal, characteristic, complemented
19#19145687C211yesmaximal, characteristic, complemented
20#19145683C211yesmaximal, characteristic, complemented
21#19145669C211yesmaximal, characteristic, complemented
22#19145665C211yesmaximal, characteristic, complemented
23#19145630C211yesmaximal, characteristic, complemented
24#19145603C211yesmaximal, characteristic, complemented
25#19144852C211yesmaximal, characteristic, complemented
26#19144809C211yesmaximal, characteristic, complemented
27#19144804C211yesmaximal, characteristic, complemented
28#19144730C211yesmaximal, characteristic, complemented
29#19144691C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3124C211yesmaximal, characteristic, complemented
32#14583652—21no—
33#14583649—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583632C2211yescharacteristic
38#14583629C2211yescharacteristic, complemented
39#14583627C2211yescharacteristic, complemented
40#14583625C2211yescharacteristic, complemented
41#14583624C2211yescharacteristic, complemented
42#14583621C2211yescharacteristic
43#14583621C2211yescharacteristic
44#14583619C2211yescharacteristic, complemented
45#14583618—21no—
46#14583618C2211yescharacteristic, complemented
47#14583618C2211yescharacteristic, complemented
48#14583612—21no—
49#14583608C2211yescharacteristic, complemented
50#14583597—21no—
51#14583593—21no—
52#14583586—21no—
53#14583570C2211yescharacteristic
54#14583570C2211yescharacteristic
55#14583550—21no—
56#14583528—21no—
57#14583516C2211yescharacteristic
58#14583511C2211yescharacteristic
59#14583509—21no—
60#14583509C2211yescharacteristic
61#14583506—21no—
62#14583506—21no—
63#14583482—21no—
64#14583482—21no—
65#14583468C2211yescharacteristic
66#14583463C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583451C2211yescharacteristic
69#14583445C2211yescharacteristic
70#14583430C2211yescharacteristic
71#14583408—21no—
72#14583408—21no—
73#14583380C2211yescharacteristic
74C2×#13063287C2211yescharacteristic
75#14583293C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583292C2211yescharacteristic, complemented
78#14583290C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic, complemented
80#14583289C2211yescharacteristic
81#14583287C2211yescharacteristic
82#14583287C2211yescharacteristic, complemented
83#14583281C2211yescharacteristic
84#14583280C2211yescharacteristic
85#14583272C2211yescharacteristic
86#14583270C2211yescharacteristic
87#14583266C2211yescharacteristic, complemented
88#14583264C2211yescharacteristic
89#14583262C2211yescharacteristic
90#14583262C2211yescharacteristic, complemented
91#14583261C2211yescharacteristic
92#14583260C2211yescharacteristic
93#14583260C2211yescharacteristic, complemented
94#14583257C2211yescharacteristic, complemented
95#14583255C2211yescharacteristic
96#14583254C2211yescharacteristic
97#14583247C2211yescharacteristic
98#14583244C2211yescharacteristic
99#14583234C2211yescharacteristic
100#14583229C2211yescharacteristic
101#14583206C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic
104#14583202C2211yescharacteristic
105#14583202C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583193C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583178C2211yescharacteristic
110#14583178C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic
112#14583124C2211yescharacteristic
113#14583124C2211yescharacteristic, complemented
114#14583123C2211yescharacteristic
115#14583122C2211yescharacteristic
116#14583122C2211yescharacteristic
117#14583121C2211yescharacteristic
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic
121#14583116C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583113C2211yescharacteristic
125#14583113C2211yescharacteristic, complemented
126#14583112C2211yescharacteristic, complemented
127#14583109C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583108C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583104C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic
133#14583103C2211yescharacteristic
134#14583103C2211yescharacteristic, complemented
135#14583100C2211yescharacteristic
136#14583100C2211yescharacteristic
137#14583099C2211yescharacteristic
138#14583098C2211yescharacteristic
139#14583098C2211yescharacteristic
140#14583098C2211yescharacteristic, complemented
141#14583097C2211yescharacteristic
142#14583097C2211yescharacteristic, complemented
143#14583094C2211yescharacteristic
144#14583092C2211yescharacteristic
145#14583063C2211yescharacteristic
146#14583063C2211yescharacteristic
147#14583061C2211yescharacteristic
148#14583061C2211yescharacteristic
149#14583059C2211yescharacteristic
150#14583052C2211yescharacteristic
151#14583052C2211yescharacteristic
152#14583049C2211yescharacteristic
153#14583042C2211yescharacteristic
154#14583032C2211yescharacteristic
155#14583029C2211yescharacteristic, complemented
156#14583029C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583028C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583027C2211yescharacteristic, complemented
161#14583026C2211yescharacteristic, complemented
162#14583026C2211yescharacteristic, complemented
163#14583008C2211yescharacteristic
164#14583008C2211yescharacteristic
165#14583004C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14583002C2211yescharacteristic
168#14583002C2211yescharacteristic
169#14582999C2211yescharacteristic, complemented
170#14582998C2211yescharacteristic
171#14582998C2211yescharacteristic
172#14582998C2211yescharacteristic
173#14582998C2211yescharacteristic
174#14582998C2211yescharacteristic, complemented
175#14582998C2211yescharacteristic, complemented
176#14582996C2211yescharacteristic, complemented
177#14582993C2211yescharacteristic, complemented
178#14582993C2211yescharacteristic, complemented
179C4×#10621885C2211yescharacteristic, complemented
180C4×#10621883C2211yescharacteristic, complemented
181#14582984C2211yescharacteristic, complemented
182#14582979C2211yescharacteristic, complemented
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#484C2211yescharacteristic
191C43×#480C2211yescharacteristic
192C43×#477C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#440C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×C4×D43—21no—
208C2×Dic172C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063324—21no—
230#13063324—21no—
231#13063324D411yescharacteristic
232#13063324D411yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063323—21no—
237#13063323—21no—
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063322C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063320—21no—
247#13063320—21no—
248#13063319—21no—
249#13063319—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063317—21no—
263#13063317—21no—
264#13063317C2311yescharacteristic
265#13063316—21no—
266#13063316—21no—
267#13063316D411yescharacteristic
268#13063316D411yescharacteristic
269#13063316C2311yescharacteristic
270#13063316C2311yescharacteristic
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063314C2311yescharacteristic
280#13063314C2311yescharacteristic
281#13063314C2311yescharacteristic
282#13063313—21no—
283#13063313—21no—
284#13063313C2311yescharacteristic
285#13063313C2311yescharacteristic
286#13063312—21no—
287#13063312C2311yescharacteristic
288#13063312C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063311—21no—
291#13063311—21no—
292#13063310—21no—
293#13063310—21no—
294#13063310—21no—
295#13063310—21no—
296#13063308—21no—
297#13063308—21no—
298#13063307—21no—
299#13063307—21no—
300#13063306—21no—
301#13063306—21no—
302#13063304—21no—
303#13063304—21no—
304#13063304C2311yescharacteristic
305#13063304C2311yescharacteristic
306#13063303—21no—
307#13063303—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302D411yescharacteristic
315#13063302D411yescharacteristic
316#13063302D411yescharacteristic
317#13063302D411yescharacteristic
318#13063300—21no—
319#13063300—21no—
320#13063299—21no—
321#13063299—21no—
322#13063299—21no—
323#13063299—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063297—21no—
329#13063297—21no—
330#13063295—21no—
331#13063295—21no—
332#13063293—21no—
333#13063293—21no—
334Q8×Dic43—21no—
335Q8×Dic43C2311yescharacteristic
336Q8×Dic43C2311yescharacteristic
337C4×Dic86—21no—
338C4×Dic86—21no—
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345#13063290—21no—
346#13063290—21no—
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353C4×D172—21no—
354C4×D172—21no—
355D4×Dic43—21no—
356D4×Dic43C2311yescharacteristic
357D4×Dic43C2311yescharacteristic
358#13063287—21no—
359#13063287—21no—
360#13063287C2311yescharacteristic
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365#13063287C2311yescharacteristic
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372#13063284—21no—
373#13063284C2311yescharacteristic
374#13063283—21no—
375#13063282—21no—
376#13063282—21no—
377#13063281—21no—
378#13063281—21no—
379#13063281—21no—
380#13063281—21no—
381C2×Dic43⋊C4—21no—
382C4⋊C4×D43—21no—
383C2×(C2×D43)⋊C4—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#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
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
478C23×D43—21no—
479#41×C43—41no—
480#41×C43—41no—
481C2×Q8×C43—21no—
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×C43—21no—
493C22×C4×C43C2411yescharacteristic
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—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43C2×D411yescharacteristic
504C22×Dic43C2×D411yescharacteristic
505#10621898—41no—
506#10621898—41no—
507#10621898—82no—
508#10621898—82no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—41no—
515C2×D172—41no—
516C2×D172C2411yescharacteristic
517C2×D172C2411yescharacteristic
518C2×D172C2411yescharacteristic
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×C4×D43—82no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86C2×D411yescharacteristic
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537SD16×C43—41no—
538SD16×C43—41no—
539D8×C43—41no—
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2×D411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43C2×D411yescharacteristic
564C22⋊C4×C43C2×D411yescharacteristic
565C42×C43—21no—
566C42×C43—21no—
567C42×C43—21no—
568C42×C43C2411yescharacteristic
569C42×C43C2411yescharacteristic
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
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—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654C4×Dic43—21no—
655C4×Dic43—21no—
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
674Dic172—41no—
675Dic172—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—
688C22×D43—42no—
689C22×D43—81no—
690C22×D43—81no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—81no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—42no—
701D4×C43—81no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—42no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—42no—
722C22⋊D43—42no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—41no—
734C2×Dic43—41no—
735C2×Dic43—42no—
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—42no—
752D172—81no—
753D172—81no—
754D172—81no—
755D172—81no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—42no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763Dic86—21no—
764Dic86—21no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—41no—
770Dic86—41no—
771Dic86—41no—
772Dic86—41no—
773Dic86—81no—
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#61939—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—
803C2×D43—84no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43#58511yescharacteristic
816C4×C43#58511yescharacteristic
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3555—431no—
831#3506—431no—
832#3402—431no—
833#3402—431no—
834#3401—431no—
835#3401—431no—
836#3400—431no—
837#3400—431no—
838#3397—431no—
839#3397—431no—
840#3377—431no—
841#3377—431no—
842#3375—431no—
843#3375—431no—
844#3370—431no—
845#3370—431no—
846#3368—431no—
847#3368—431no—
848#3224—431no—
849#3224—431no—
850#3222—431no—
851#3222—431no—
852#3219—431no—
853#3216—431no—
854#3124—431no—
855#3124D4311yescharacteristic, complemented
856#3120—431no—
857#3120—431no—
858#3114—431no—
859#3110—431no—
860#2987—431no—
861C2×C43—41no—
862C2×C43—81no—
863C2×C43—81no—
864C2×C43#348711yescharacteristic
865C2×C43#358511yescharacteristic
866C2×C43#358611yescharacteristic
867D43—81no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876Q82—431no—
877#557—431no—
878#557—431no—
879#557—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—431no—
885#556—861no—
886#555—861no—
887#554—431no—
888#553—861no—
889#553—861no—
890#552—861no—
891#550—431no—
892#550—431no—
893#547—861no—
894#544—861no—
895#542—431no—
896#542C2×D4311yescharacteristic
897#541—431no—
898#541—431no—
899#541—861no—
900#541—861no—
901#541—861no—
902#538—861no—
903#538—861no—
904#535—431no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—431no—
910#525—861no—
911#525—861no—
912#520—431no—
913#520C2×D4311yescharacteristic
914C2×C4×D4—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497—431no—
919#497—431no—
920#496—431no—
921#496—431no—
922#496—431no—
923#495—431no—
924#495—431no—
925#492—431no—
926#492—431no—
927#491—431no—
928#490—431no—
929#490—431no—
930#490—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#489—431no—
935#488—431no—
936#488—431no—
937#486—431no—
938#486—431no—
939#484—431no—
940#484C2×D4311yescharacteristic
941#483—431no—
942#480C2×D4311yescharacteristic
943#479—431no—
944#479—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#477—431no—
950#477C2×D4311yescharacteristic, complemented
951#474—431no—
952#474—431no—
953#474—431no—
954#474C2×D4311yescharacteristic, complemented
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#464C2×D4311yescharacteristic, complemented
965#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463C2×D4311yescharacteristic, complemented
973#462—431no—
974#462—431no—
975#462—431no—
976#462—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#460—431no—
982#460—431no—
983#460—431no—
984#460—431no—
985#460—431no—
986#460—431no—
987#460—431no—
988#460—431no—
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#452—431no—
995#452—431no—
996#452C2×D4311yescharacteristic
997#450—431no—
998#450—431no—
999#450—431no—
1000#449—431no—
1001#449C2×D4311yescharacteristic
1002#447—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—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#440—431no—
1025#440C2×D4311yescharacteristic, complemented
1026#440C2×D4311yescharacteristic, complemented
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×Q16—431no—
1030C4×Q16C2×D4311yescharacteristic, complemented
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8C2×D4311yescharacteristic, complemented
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433C2×D4311yescharacteristic
1039#432—431no—
1040#432—431no—
1041C43#6193911yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C2×#41—861no—
1045C2×#41C22×D4311yescharacteristic
1046C22×D4—431no—
1047C23×C4—861no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16—431no—
1053C2×Q16C22×D4311yescharacteristic
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×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8—431no—
1071C2×D8C22×D4311yescharacteristic
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⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—431no—
1088#127—431no—
1089#127—431no—
1090#127—431no—
1091#126—21no—
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#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
1109#125—431no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#124—21no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—431no—
1132#124—431no—
1133#124—431no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124C22×D4311yescharacteristic
1140#123—21no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151C22⋊Q8—21no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121C22×D4311yescharacteristic
1182#120—861no—
1183#120—861no—
1184#120—861no—
1185#120—861no—
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—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×Q8C22×D4311yescharacteristic
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—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×D4—861no—
1229C4×D4C22×D4311yescharacteristic
1230C4×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232#117—21no—
1233#117—431no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117C22×D4311yescharacteristic
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4C22×D4311yescharacteristic
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249#107—431no—
1250#107—431no—
1251#107C22×D4311yescharacteristic
1252#107C22×D4311yescharacteristic
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#106—431no—
1256#106—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⋊C8—431no—
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1280#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#102—431no—
1284#102—431no—
1285#102—431no—
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#102—431no—
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8C22×D4311yescharacteristic
1304C22⋊C8C22×D4311yescharacteristic
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—41no—
1319#41—41no—
1320#41—3442no—
1321#41—3442no—
1322#41—1721no—
1323#41—1721no—
1324C2×Q8—21no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—861no—
1342C2×D4—861no—
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—1721no—
1354C2×D4—1721no—
1355C2×D4C23×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—431no—
1363C22×C4—431no—
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—3442no—
1374C22×C4C23×D4311yescharacteristic
1375Q16—41no—
1376Q16—1721no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—1721no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393SD16—1721no—
1394SD16—1721no—
1395D8—41no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—431no—
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—861no—
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⋊C4—861no—
1457C4⋊C4D4×D4311yescharacteristic
1458C4⋊C4D4×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1499C22⋊C4D4×D4311yescharacteristic
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—431no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—861no—
1524C23—861no—
1525C23—861no—
1526C23—3441no—
1527C23—3441no—
1528C23—1722no—
1529C23C2×D4×D4311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—81no—
1535Q8—861no—
1536Q8—861no—
1537Q8—861no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—1721no—
1544Q8—1721no—
1545Q8—1721no—
1546Q8—1721no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—42no—
1552D4—81no—
1553D4—861no—
1554D4—861no—
1555D4—861no—
1556D4—861no—
1557D4—861no—
1558D4—861no—
1559D4—3441no—
1560D4—3441no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—1722no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—42no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—1722no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1721no—
1606C2×C4—1721no—
1607C2×C4—1722no—
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—3444no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373511yescharacteristic
1667C4#1458373511yescharacteristic
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—3441no—
1672C2—3441no—
1673C2—3441no—
1674C2#1914824911yescharacteristic
1675C2#1914937011yescharacteristic
1676C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3124C2
socleC22×C43C23×D4
hypercenter#3124D43
hypocenterC43#61939
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. #19149081C2semidirect
2. #19148440C2semidirect
3. #19147675C2semidirect
4. #19147674C2semidirect
5. #19147664C2semidirect
6. #19147659C2semidirect
7. #19147649C2semidirect
8. #19147646C2semidirect
9. #19147618C2semidirect
10. #19147613C2semidirect
11. #19147444C2semidirect
12. #19147433C2semidirect
13. #19147412C2semidirect
14. #19147408C2semidirect
15. #19147349C2semidirect
16. #19147344C2semidirect
17. #19147325C2semidirect
18. #19147323C2semidirect
19. #19145687C2semidirect
20. #19145683C2semidirect
21. #19145669C2semidirect
22. #19145665C2semidirect
23. #19145630C2semidirect
24. #19145603C2semidirect
25. #19144852C2semidirect
26. #19144809C2semidirect
27. #19144804C2semidirect
28. #19144730C2semidirect
29. #19144691C2semidirect
30. #19143699C2semidirect
31. C43×#3124C2semidirect
38. #14583629C22semidirect
39. #14583627C22semidirect
40. #14583625C22semidirect
41. #14583624C22semidirect
44. #14583619C22semidirect
46. #14583618C22semidirect
47. #14583618C22semidirect
49. #14583608C22semidirect
77. #14583292C22semidirect
78. #14583290C22semidirect
79. #14583290C22semidirect
82. #14583287C22semidirect
87. #14583266C22semidirect
90. #14583262C22semidirect
93. #14583260C22semidirect
94. #14583257C22semidirect
101. #14583206C22semidirect
102. #14583205C22semidirect
105. #14583202C22semidirect
106. #14583199C22semidirect
107. #14583193C22semidirect
110. #14583178C22semidirect
113. #14583124C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
121. #14583116C22semidirect
125. #14583113C22semidirect
126. #14583112C22semidirect
127. #14583109C22semidirect
128. #14583108C22semidirect
129. #14583108C22semidirect
130. #14583107C22semidirect
131. #14583104C22semidirect
134. #14583103C22semidirect
140. #14583098C22semidirect
142. #14583097C22semidirect
155. #14583029C22semidirect
156. #14583029C22semidirect
157. #14583028C22semidirect
158. #14583028C22semidirect
159. #14583027C22semidirect
160. #14583027C22semidirect
161. #14583026C22semidirect
162. #14583026C22semidirect
165. #14583004C22semidirect
166. #14583003C22semidirect
169. #14582999C22semidirect
174. #14582998C22semidirect
175. #14582998C22semidirect
176. #14582996C22semidirect
177. #14582993C22semidirect
178. #14582993C22semidirect
179. C4×#10621885C22semidirect
180. C4×#10621883C22semidirect
181. #14582984C22semidirect
182. #14582979C22semidirect
192. C43×#477C22semidirect
193. C43×#474C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
198. C43×#440C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×D8×C43C22semidirect
855. #3124D43semidirect
950. #477C2×D43semidirect
954. #474C2×D43semidirect
964. #464C2×D43semidirect
972. #463C2×D43semidirect
1025. #440C2×D43semidirect
1026. #440C2×D43semidirect
1030. C4×Q16C2×D43semidirect
1034. C4×D8C2×D43semidirect
1041. C43#61939semidirect

Maximal subgroups

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

subgroupindex
#191490812
#191484402
#191476752
#191476742
#191476642
#191476592
#191476492
#191476462
#191476182
#191476132
#191474442
#191474332
#191474122
#191474082
#191473492
#191473442
#191473252
#191473232
#191456872
#191456832
#191456692
#191456652
#191456302
#191456032
#191448522
#191448092
#191448042
#191447302
#191446912
#191436992
C43×#31242
#6193943