Finite Group Databasebeta

← #25966662

Subgroups — #25966662

Order 11008.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148016C211yesmaximal, characteristic, complemented
2#19148009C211yesmaximal, characteristic, complemented
3#19145330C211yesmaximal, characteristic, complemented
4#19145329C211yesmaximal, characteristic, complemented
5#19145320C211yesmaximal, characteristic, complemented
6#19145318C211yesmaximal, characteristic, complemented
7#19145293C211yesmaximal, characteristic, complemented
8#19145291C211yesmaximal, characteristic, complemented
9#19145289C211yesmaximal, characteristic, complemented
10#19145283C211yesmaximal, characteristic, complemented
11#19145281C211yesmaximal, characteristic, complemented
12#19145275C211yesmaximal, characteristic, complemented
13#19145273C211yesmaximal, characteristic, complemented
14#19145244C211yesmaximal, characteristic, complemented
15#19145238C211yesmaximal, characteristic, complemented
16#19145211C211yesmaximal, characteristic, complemented
17#19145205C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19145079C211yesmaximal, characteristic, complemented
20#19144950C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144274C211yesmaximal, characteristic, complemented
23#19144268C211yesmaximal, characteristic, complemented
24#19144252C211yesmaximal, characteristic, complemented
25#19144238C211yesmaximal, characteristic, complemented
26#19143406C211yesmaximal, characteristic, complemented
27#19143400C211yesmaximal, characteristic, complemented
28#19143390C211yesmaximal, characteristic, complemented
29#442×D43C211yesmaximal, characteristic, complemented
30#19143020C211yesmaximal, characteristic, complemented
31C43×#3180C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35C2×D8×D43C2211yescharacteristic
36C2×#13063331C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38#14583529C2211yescharacteristic
39#14583526C2211yescharacteristic
40#14583523C2211yescharacteristic, complemented
41#14583522C2211yescharacteristic, complemented
42#14583518C2211yescharacteristic, complemented
43#14583516C2211yescharacteristic, complemented
44#14583515—21no—
45#14583513—21no—
46#14583505C2211yescharacteristic, complemented
47#14583503C2211yescharacteristic, complemented
48#14583502C2211yescharacteristic, complemented
49#14583502C2211yescharacteristic, complemented
50#14583501—21no—
51#14583499—21no—
52#14583488—21no—
53#14583485—21no—
54#14583483—21no—
55#14583481—21no—
56#14583479C2211yescharacteristic
57#14583478C2211yescharacteristic
58#14583467C2211yescharacteristic
59#14583465C2211yescharacteristic
60#14583465C2211yescharacteristic
61#14583462C2211yescharacteristic
62#14583449C2211yescharacteristic, complemented
63#14583446—21no—
64#14583446C2211yescharacteristic, complemented
65#14583446C2211yescharacteristic, complemented
66#14583445—21no—
67#14583436C2211yescharacteristic, complemented
68#14583433C2211yescharacteristic, complemented
69#14583431C2211yescharacteristic, complemented
70#14583429—21no—
71#14583427—21no—
72#14583411—21no—
73#14583408—21no—
74#14583408—21no—
75#14583406—21no—
76C4×#10621902C2211yescharacteristic
77C4×#10621898C2211yescharacteristic
78C4×#10621900C2211yescharacteristic
79C4×D4×D43C2211yescharacteristic
80C4×D4×D43C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583298C2211yescharacteristic, complemented
86#14583296C2211yescharacteristic, complemented
87#14583295C2211yescharacteristic, complemented
88#14583288C2211yescharacteristic
89#14583287C2211yescharacteristic
90#14583285C2211yescharacteristic
91#14583281C2211yescharacteristic
92#14583280C2211yescharacteristic
93#14583275C2211yescharacteristic
94#14583274C2211yescharacteristic
95#14583264C2211yescharacteristic, complemented
96#14583262C2211yescharacteristic, complemented
97#14583262C2211yescharacteristic, complemented
98#14583260C2211yescharacteristic, complemented
99#14583259C2211yescharacteristic, complemented
100#14583257C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic, complemented
102#14583255C2211yescharacteristic, complemented
103#14583253C2211yescharacteristic, complemented
104#14583252C2211yescharacteristic, complemented
105#14583247C2211yescharacteristic, complemented
106#14583245C2211yescharacteristic, complemented
107#14583244C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583153C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic
113#14583151C2211yescharacteristic
114#14583151C2211yescharacteristic, complemented
115#14583150C2211yescharacteristic
116#14583150C2211yescharacteristic
117#14583150C2211yescharacteristic, complemented
118#14583150C2211yescharacteristic, complemented
119#14583150C2211yescharacteristic, complemented
120#14583149C2211yescharacteristic, complemented
121#14583147C2211yescharacteristic, complemented
122#14583146C2211yescharacteristic, complemented
123#14583143C2211yescharacteristic, complemented
124#14583142C2211yescharacteristic, complemented
125#14583136C2211yescharacteristic
126#14583135C2211yescharacteristic
127#14583135C2211yescharacteristic, complemented
128#14583134C2211yescharacteristic, complemented
129#14583134C2211yescharacteristic, complemented
130#14583132C2211yescharacteristic
131#14583131C2211yescharacteristic, complemented
132#14583129C2211yescharacteristic, complemented
133#14583128C2211yescharacteristic, complemented
134#14583128C2211yescharacteristic, complemented
135#14583127C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583012C2211yescharacteristic
138#14583012C2211yescharacteristic, complemented
139#14583011C2211yescharacteristic
140#14583010C2211yescharacteristic
141#14583009C2211yescharacteristic
142#14583009C2211yescharacteristic
143#14583009C2211yescharacteristic, complemented
144#14583009C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic
148#14583008C2211yescharacteristic, complemented
149#14583004C2211yescharacteristic, complemented
150#14583003C2211yescharacteristic, complemented
151#14583001C2211yescharacteristic, complemented
152#14583001C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic, complemented
156#14582997C2211yescharacteristic, complemented
157#14582990C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160#14582984C2211yescharacteristic, complemented
161D8×Dic43C2211yescharacteristic, complemented
162#14582981C2211yescharacteristic, complemented
163#14582979C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582936C2211yescharacteristic
168#106×D43C2211yescharacteristic
169#14582902C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582899C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582894C2211yescharacteristic
174#14582892C2211yescharacteristic
175#102×D43C2211yescharacteristic
176#102×D43C2211yescharacteristic
177#14582856C2211yescharacteristic
178#14582856C2211yescharacteristic
179#14582856C2211yescharacteristic, complemented
180#14582856C2211yescharacteristic, complemented
181#14582854C2211yescharacteristic, complemented
182#14582854C2211yescharacteristic, complemented
183C4×#10621877C2211yescharacteristic, complemented
184#14582851C2211yescharacteristic
185#14582851C2211yescharacteristic, complemented
186#97×D43C2211yescharacteristic
187#97×D43C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#490C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic
195C43×#466C2211yescharacteristic, complemented
196C43×#465C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C2×#97×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212C22×C4×D43—21no—
213#13063352—24no—
214#13063349—24no—
215#13063346—24no—
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228D8×D43—24no—
229#13063331—24no—
230#13063331—24no—
231C2×#10621877C2311yescharacteristic
232C2×#10621877C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C2×#10621872C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239C2×C8×D43C2311yescharacteristic
240C2×C8×D43C2311yescharacteristic
241#13063325C2311yescharacteristic
242#13063324—21no—
243#13063324C2311yescharacteristic
244#13063324C2311yescharacteristic
245#13063323—21no—
246#13063322C2311yescharacteristic
247#13063321—21no—
248#13063321—21no—
249#13063321C2311yescharacteristic
250#13063321C2311yescharacteristic
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063319—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063317C2311yescharacteristic
259#13063316C2311yescharacteristic
260#13063316C2311yescharacteristic
261#13063315—21no—
262#13063315—21no—
263#13063314—21no—
264#13063314C2311yescharacteristic
265#13063313—21no—
266#13063313C2311yescharacteristic
267#13063312—21no—
268#13063312C2311yescharacteristic
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063309—21no—
280#13063309—21no—
281#13063309—21no—
282#13063308—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063306—21no—
288#13063306—21no—
289#13063306—21no—
290#13063305—21no—
291#13063305—21no—
292#13063305C2311yescharacteristic
293#13063304C2311yescharacteristic
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063300—21no—
304#13063300—21no—
305#13063300—21no—
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299—21no—
310#13063299C2311yescharacteristic
311#13063299C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063296—21no—
328#13063296—21no—
329#13063296—21no—
330#13063296C2311yescharacteristic
331#13063296C2311yescharacteristic
332#13063296C2311yescharacteristic
333#13063295—21no—
334#13063295—21no—
335#13063295—21no—
336#13063295—21no—
337#13063293—21no—
338#13063293—21no—
339#13063293—21no—
340#13063293—21no—
341Q8×Dic43C2311yescharacteristic
342C4×Dic86D411yescharacteristic
343C4×Dic86D411yescharacteristic
344C4×Dic86C2311yescharacteristic
345#13063290C2311yescharacteristic
346C4×D172—21no—
347C4×D172—21no—
348C4×D172—21no—
349C4×D172D411yescharacteristic
350C4×D172D411yescharacteristic
351C4×D172C2311yescharacteristic
352C4×D172C2311yescharacteristic
353C4×D172C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357#13063287—21no—
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368C4×C22⋊D43D411yescharacteristic
369C4×C22⋊D43D411yescharacteristic
370C4×C22⋊D43D411yescharacteristic
371C4×C22⋊D43D411yescharacteristic
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375#13063284—21no—
376#13063284C2311yescharacteristic
377#13063283—21no—
378#13063283C2311yescharacteristic
379#13063283C2311yescharacteristic
380#13063282—21no—
381#13063282—21no—
382#13063282C2311yescharacteristic
383#13063282C2311yescharacteristic
384#13063281—21no—
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C22⋊C4×D43—21no—
388C22⋊C4×D43—21no—
389C2×C4×Dic43—21no—
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43—21no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C22×C8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#126×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43—21no—
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466#117×C43—21no—
467C2×C42×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486#41×C43—82no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2×D411yescharacteristic
501C22×C4×C43C2×D411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43C2×D411yescharacteristic
517C2×C22⋊D43C2×D411yescharacteristic
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522#10621902—22no—
523#10621902—22no—
524#10621900—22no—
525#10621900—22no—
526D4×D43—22no—
527D4×D43—22no—
528D4×D43—22no—
529D4×D43—22no—
530#10621898—22no—
531#10621898—22no—
532#10621898—82no—
533#10621898—82no—
534#10621898—82no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172C2×D411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—82no—
555C2×C4×D43—82no—
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86C2×D411yescharacteristic
566C2×Dic86C2411yescharacteristic
567SD16×C43—22no—
568SD16×C43—22no—
569D8×C43—22no—
570D8×C43—22no—
571C2×C8×C43—22no—
572C2×C8×C43—22no—
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C42×C43—21no—
596C42×C43C2×D411yescharacteristic
597C42×C43C2×D411yescharacteristic
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611#10621885—22no—
612#10621884—22no—
613#10621883—22no—
614#10621882—22no—
615#10621882—22no—
616#10621882—22no—
617#10621882—22no—
618#10621882—22no—
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—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682#10621877—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—22no—
689#10621873—22no—
690#10621873—22no—
691#10621872—22no—
692#10621872—22no—
693#10621872—22no—
694#10621872#4114yescomplemented
695C8×D43—22no—
696C8×D43—22no—
697C8×D43—22no—
698C8×D43#4114yescomplemented
699C23×C43—21no—
700C23×C43—21no—
701C23×C43—21no—
702C23×C43C22×D411yescharacteristic
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713C22×D43C22×D411yescharacteristic
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—81no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—41no—
736C2×C4×C43—41no—
737C2×C4×C43—42no—
738C2×C4×C43—42no—
739C2×C4×C43—42no—
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C2511yescharacteristic
746C22⋊D43—22no—
747C22⋊D43—22no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—42no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776D172—22no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—42no—
784D172—81no—
785D172—81no—
786D172—81no—
787D172—81no—
788D172—81no—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—41no—
792C4×D43—41no—
793C4×D43—41no—
794C4×D43—41no—
795C4×D43—42no—
796C4×D43—42no—
797C4×D43—42no—
798C4×D43—42no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43C2×#4112yes—
805C4×D43C2×#4112yes—
806Dic86—22no—
807Dic86—21no—
808Dic86—21no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43C2×#4112yes—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8C2×#4112yes—
819C43⋊C8C2×#4112yes—
820#60698—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—84no—
849C2×D43—84no—
850C2×D43#53212yes—
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43C22×#4111yescharacteristic
862C4×C43C22×#4111yescharacteristic
863Dic43—21no—
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—41no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43#53212yes—
874#3460—431no—
875#3460—431no—
876#3184—431no—
877#3184—431no—
878#3183—431no—
879#3183—431no—
880#3180—431no—
881#3180—431no—
882#3180—431no—
883#3180D4311yescharacteristic, complemented
884#3179—431no—
885#3179—431no—
886#3179—431no—
887#3179—431no—
888#3176—431no—
889#3176—431no—
890#3173—431no—
891#3173—431no—
892#3163—431no—
893#3155—431no—
894#3136—431no—
895#3136—431no—
896#3062—431no—
897#3062—431no—
898#3060—431no—
899#3058—431no—
900C4×AGL(1,ℤ/8)—431no—
901C4×AGL(1,ℤ/8)—431no—
902#2943—431no—
903C2×#442—431no—
904#2875—431no—
905C2×C43—41no—
906C2×C43—81no—
907C2×C43—81no—
908C2×C43—81no—
909C2×C43C2×#53211yescharacteristic
910C2×C43#358511yescharacteristic
911C2×C43#358511yescharacteristic
912D43—22no—
913D43—41no—
914D43—81no—
915D43—81no—
916D43—81no—
917C2×AGL(1,ℤ/8)—431no—
918C2×AGL(1,ℤ/8)—431no—
919C2×#135—431no—
920C22×D8—431no—
921C2×#131—431no—
922C2×#131—431no—
923#544—431no—
924#544—431no—
925#542—431no—
926#542—431no—
927#542—431no—
928#542—431no—
929#542—861no—
930#542—861no—
931#540—431no—
932#540—431no—
933#540—431no—
934#540—431no—
935#540—861no—
936#540—861no—
937#538—861no—
938#538—861no—
939#538—861no—
940#538—861no—
941#537—431no—
942#537—431no—
943#535—431no—
944#535—431no—
945#535—431no—
946#535—431no—
947#532—431no—
948#532—431no—
949#532—431no—
950#532—861no—
951#532—861no—
952#532C2×D4311yescharacteristic, complemented
953#529—431no—
954#529—431no—
955#529—431no—
956#529—861no—
957#529—861no—
958#529C2×D4311yescharacteristic, complemented
959#525—861no—
960#525—861no—
961#525—861no—
962#525—861no—
963C4×#41—431no—
964C4×#41—431no—
965C4×#41—431no—
966C2×C4×D4—431no—
967C2×C4×D4—431no—
968#501—431no—
969#501—431no—
970#501—431no—
971#501C2×D4311yescharacteristic, complemented
972#499—431no—
973#499—431no—
974#498—431no—
975#498—431no—
976#496—431no—
977#496—431no—
978#496—431no—
979#496C2×D4311yescharacteristic
980#495—431no—
981#495—431no—
982#493—431no—
983#493—431no—
984#490—431no—
985#490—431no—
986#490—431no—
987#490C2×D4311yescharacteristic, complemented
988#489—431no—
989#489—431no—
990#489—431no—
991#489C2×D4311yescharacteristic, complemented
992#488—431no—
993#488—431no—
994#488—431no—
995#488—431no—
996#486—431no—
997#486—431no—
998#486—431no—
999#486—431no—
1000#470—431no—
1001#470—431no—
1002#469—431no—
1003#469—431no—
1004#469—431no—
1005#469—431no—
1006#469—431no—
1007#469—431no—
1008#469—431no—
1009#469—431no—
1010#469—431no—
1011#469—431no—
1012#468—431no—
1013#468—431no—
1014#468—431no—
1015#468—431no—
1016#466—431no—
1017#466—431no—
1018#466—431no—
1019#466—431no—
1020#466—431no—
1021#466—431no—
1022#466C2×D4311yescharacteristic
1023#466C2×D4311yescharacteristic, complemented
1024#465—431no—
1025#465—431no—
1026#465—431no—
1027#465—431no—
1028#465—431no—
1029#465—431no—
1030#465C2×D4311yescharacteristic, complemented
1031#465C2×D4311yescharacteristic, complemented
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442C2×D4311yescharacteristic
1045#442C2×D4311yescharacteristic, complemented
1046#441—431no—
1047#441—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052#440—431no—
1053#440—431no—
1054#440C2×D4311yescharacteristic, complemented
1055#440C2×D4311yescharacteristic, complemented
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×SD16—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064#428—431no—
1065#428—431no—
1066#427—431no—
1067C2×#106—431no—
1068#418—431no—
1069#418—431no—
1070#417—431no—
1071#417—431no—
1072#416—431no—
1073#416—431no—
1074C2×#102—431no—
1075C2×#102—431no—
1076#405—431no—
1077#405—431no—
1078#405—431no—
1079#405—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C4×M16—431no—
1084C4×M16—431no—
1085C2×#97—431no—
1086C2×#97—431no—
1087C2×#97C2×D4311yescharacteristic, complemented
1088C43#6069811yescharacteristic, complemented, Sylow
1089C2×#41—21no—
1090C2×#41—431no—
1091C2×#41—431no—
1092C2×#41—431no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C22×D4—431no—
1097C22×D4—431no—
1098C23×C4—861no—
1099C23×C4—861no—
1100AGL(1,ℤ/8)—864no—
1101AGL(1,ℤ/8)—864no—
1102#135—864no—
1103C2×Q16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×SD16—431no—
1107C2×SD16—431no—
1108C2×SD16C22×D4311yescharacteristic
1109C2×SD16C22×D4311yescharacteristic
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×D8—431no—
1115C2×D8—431no—
1116C2×D8—431no—
1117C2×D8—864no—
1118C2×D8C22×D4311yescharacteristic
1119C2×D8C22×D4311yescharacteristic
1120#131—864no—
1121#131—864no—
1122C2×M16—431no—
1123C2×M16—431no—
1124C2×M16—431no—
1125C2×M16—431no—
1126C2×M16—431no—
1127C2×M16—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8—431no—
1131C22×C8—431no—
1132C22×C8C22×D4311yescharacteristic
1133C22×C8C22×D4311yescharacteristic
1134C4⋊Q8—431no—
1135C4⋊Q8—431no—
1136C4⋊Q8—431no—
1137C4⋊Q8—861no—
1138C4⋊Q8—861no—
1139C4⋊Q8C22×D4311yescharacteristic
1140#127—431no—
1141#127—431no—
1142#127—431no—
1143#127—861no—
1144#127—861no—
1145#127C22×D4311yescharacteristic
1146#126—21no—
1147#126—861no—
1148#126—861no—
1149#126—861no—
1150#126—861no—
1151#126—861no—
1152#126—861no—
1153#126—861no—
1154#125—431no—
1155#125—431no—
1156#125—431no—
1157#125—861no—
1158#125—861no—
1159#125C22×D4311yescharacteristic
1160#124—21no—
1161#124—431no—
1162#124—431no—
1163#124—431no—
1164#124—861no—
1165#124—861no—
1166#124—861no—
1167#124—861no—
1168#124—861no—
1169#124—861no—
1170#124—861no—
1171#124—861no—
1172#124—861no—
1173#124C22×D4311yescharacteristic
1174#123—21no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180#123—861no—
1181#123—861no—
1182#123—861no—
1183#123—861no—
1184#123—861no—
1185#123—861no—
1186#123—861no—
1187#123—861no—
1188#123—861no—
1189#123—861no—
1190C22⋊Q8—431no—
1191C22⋊Q8—431no—
1192C22⋊Q8—431no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197C22⋊Q8—861no—
1198C22⋊Q8—861no—
1199C22⋊Q8—861no—
1200C22⋊Q8—861no—
1201C22⋊Q8—861no—
1202C22⋊Q8—861no—
1203C22⋊Q8C22×D4311yescharacteristic
1204#121—21no—
1205#121—431no—
1206#121—431no—
1207#121—431no—
1208#121—431no—
1209#121—431no—
1210#121—431no—
1211#121—431no—
1212#121—431no—
1213#121—431no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#121—861no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
1233#121—861no—
1234#121—861no—
1235#121C22×D4311yescharacteristic
1236#121C22×D4311yescharacteristic
1237#121C22×D4311yescharacteristic
1238#120—861no—
1239#120—861no—
1240#120—861no—
1241#120—861no—
1242#120—861no—
1243#120—861no—
1244#120—861no—
1245#120—861no—
1246C4×Q8—431no—
1247C4×Q8—431no—
1248C4×Q8—431no—
1249C4×Q8—431no—
1250C4×Q8—431no—
1251C4×Q8C22×D4311yescharacteristic
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—431no—
1255C4×D4—431no—
1256C4×D4—431no—
1257C4×D4—431no—
1258C4×D4—431no—
1259C4×D4—431no—
1260C4×D4—431no—
1261C4×D4—431no—
1262C4×D4—431no—
1263C4×D4—431no—
1264C4×D4—431no—
1265C4×D4—431no—
1266C4×D4—431no—
1267C4×D4—431no—
1268C4×D4—431no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4—861no—
1273C4×D4—861no—
1274C4×D4—861no—
1275C4×D4—861no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4C22×D4311yescharacteristic
1284C4×D4C22×D4311yescharacteristic
1285C4×D4C22×D4311yescharacteristic
1286#117—21no—
1287#117—431no—
1288#117—431no—
1289#117—431no—
1290#117—431no—
1291#117—431no—
1292#117—861no—
1293#117—861no—
1294#117—861no—
1295#117—861no—
1296#117—861no—
1297C2×C4⋊C4—431no—
1298C2×C4⋊C4—431no—
1299C2×C22⋊C4—861no—
1300C2×C22⋊C4—861no—
1301C2×C42—431no—
1302C2×C42—431no—
1303C2×C42—861no—
1304C2×C42—861no—
1305C2×C42C22×D4311yescharacteristic
1306#107—431no—
1307#107—431no—
1308#107—431no—
1309#107—431no—
1310#107C22×D4311yescharacteristic
1311#107C22×D4311yescharacteristic
1312#106—431no—
1313#106—431no—
1314#106—431no—
1315#106—431no—
1316#106—431no—
1317#106—431no—
1318#106—431no—
1319#106—431no—
1320#106C22×D4311yescharacteristic
1321#106C22×D4311yescharacteristic
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103C22×D4311yescharacteristic
1329#103C22×D4311yescharacteristic
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102—431no—
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353#102C22×D4311yescharacteristic
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97—431no—
1358#97—431no—
1359#97—431no—
1360#97C22×D4311yescharacteristic
1361#97C22×D4311yescharacteristic
1362#97C22×D4311yescharacteristic
1363#97C22×D4311yescharacteristic
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C4×C8—431no—
1369C4×C8—431no—
1370C24—861no—
1371C24—861no—
1372#41—82no—
1373#41—862no—
1374#41—862no—
1375#41—862no—
1376#41—862no—
1377#41—862no—
1378#41—862no—
1379#41—3442no—
1380#41—3442no—
1381#41—3442no—
1382C2×Q8—21no—
1383C2×Q8—431no—
1384C2×Q8—431no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—861no—
1388C2×Q8C23×D4311yescharacteristic
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—431no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—862no—
1405C2×D4—862no—
1406C2×D4—862no—
1407C2×D4—862no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4C23×D4311yescharacteristic
1424C2×D4C23×D4311yescharacteristic
1425C2×D4C23×D4311yescharacteristic
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—431no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—431no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—3442no—
1449C22×C4—3442no—
1450C22×C4D4×D4311yescharacteristic
1451C22×C4D4×D4311yescharacteristic
1452C22×C4C23×D4311yescharacteristic
1453Q16—862no—
1454SD16—22no—
1455SD16—22no—
1456SD16—862no—
1457SD16—862no—
1458SD16—862no—
1459SD16—862no—
1460D8—22no—
1461D8—22no—
1462D8—862no—
1463D8—862no—
1464D8—862no—
1465D8—862no—
1466D8—862no—
1467D8—862no—
1468D8—862no—
1469M16—434no—
1470M16—862no—
1471M16—862no—
1472M16—862no—
1473M16—862no—
1474M16—862no—
1475C2×C8—22no—
1476C2×C8—22no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—434no—
1480C2×C8—431no—
1481C2×C8—431no—
1482C2×C8—862no—
1483C2×C8—862no—
1484C2×C8—862no—
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C2×C8C23×D4311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4C23×D4311yescharacteristic
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C42—21no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42D4×D4311yescharacteristic
1582C42D4×D4311yescharacteristic
1583C42C23×D4311yescharacteristic
1584C42C23×D4311yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—431no—
1589C23—431no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—3441no—
1594C23—3441no—
1595C23—3441no—
1596C23—3441no—
1597C23—1722no—
1598C23—1722no—
1599C23C2×D4×D4311yescharacteristic
1600Q8—21no—
1601Q8—21no—
1602Q8—81no—
1603Q8—862no—
1604Q8—861no—
1605Q8—861no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—3441no—
1609D4—21no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—862no—
1621D4—862no—
1622D4—862no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—861no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—3441no—
1641D4—3441no—
1642D4—3441no—
1643D4—3441no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—42no—
1658C2×C4—42no—
1659C2×C4—42no—
1660C2×C4—431no—
1661C2×C4—432no—
1662C2×C4—432no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—431no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—1721no—
1684C2×C4—1721no—
1685C2×C4—1721no—
1686C2×C4—1721no—
1687C2×C4—1722no—
1688C2×C4—1722no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4C2×D4×D4311yescharacteristic
1693C2×C4C2×D4×D4311yescharacteristic
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C24×D4311yescharacteristic
1698C8—21no—
1699C8—21no—
1700C8—432no—
1701C8—432no—
1702C8—861no—
1703C8—861no—
1704C8#41×D4312yes—
1705C8#41×D4312yes—
1706C22—21no—
1707C22—21no—
1708C22—21no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—432no—
1719C22—861no—
1720C22—861no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—3444no—
1725C22—3444no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22C22×D4×D4311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—432no—
1747C4—861no—
1748C4—861no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—1721no—
1753C4—1721no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4C2×#41×D4311yescharacteristic
1758C4C2×#41×D4311yescharacteristic
1759C2—41no—
1760C2—81no—
1761C2—81no—
1762C2—81no—
1763C2—862no—
1764C2—3441no—
1765C2—3441no—
1766C2—3441no—
1767C2—1721no—
1768C2#532×D4311yescharacteristic
1769C2#1914937111yescharacteristic
1770C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3180C2
socleC22×C43C23×D4
hypercenter#3180D43
hypocenterC43#60698
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #19148016C2semidirect
2. #19148009C2semidirect
3. #19145330C2semidirect
4. #19145329C2semidirect
5. #19145320C2semidirect
6. #19145318C2semidirect
7. #19145293C2semidirect
8. #19145291C2semidirect
9. #19145289C2semidirect
10. #19145283C2semidirect
11. #19145281C2semidirect
12. #19145275C2semidirect
13. #19145273C2semidirect
14. #19145244C2semidirect
15. #19145238C2semidirect
16. #19145211C2semidirect
17. #19145205C2semidirect
18. #19145122C2semidirect
19. #19145079C2semidirect
20. #19144950C2semidirect
21. #19144946C2semidirect
22. #19144274C2semidirect
23. #19144268C2semidirect
24. #19144252C2semidirect
25. #19144238C2semidirect
26. #19143406C2semidirect
27. #19143400C2semidirect
28. #19143390C2semidirect
29. #442×D43C2semidirect
30. #19143020C2semidirect
31. C43×#3180C2semidirect
40. #14583523C22semidirect
41. #14583522C22semidirect
42. #14583518C22semidirect
43. #14583516C22semidirect
46. #14583505C22semidirect
47. #14583503C22semidirect
48. #14583502C22semidirect
49. #14583502C22semidirect
62. #14583449C22semidirect
64. #14583446C22semidirect
65. #14583446C22semidirect
67. #14583436C22semidirect
68. #14583433C22semidirect
69. #14583431C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583300C22semidirect
85. #14583298C22semidirect
86. #14583296C22semidirect
87. #14583295C22semidirect
95. #14583264C22semidirect
96. #14583262C22semidirect
97. #14583262C22semidirect
98. #14583260C22semidirect
99. #14583259C22semidirect
100. #14583257C22semidirect
101. #14583256C22semidirect
102. #14583255C22semidirect
103. #14583253C22semidirect
104. #14583252C22semidirect
105. #14583247C22semidirect
106. #14583245C22semidirect
107. #14583244C22semidirect
108. #14583244C22semidirect
109. #14583156C22semidirect
110. #14583155C22semidirect
111. #14583153C22semidirect
114. #14583151C22semidirect
117. #14583150C22semidirect
118. #14583150C22semidirect
119. #14583150C22semidirect
120. #14583149C22semidirect
121. #14583147C22semidirect
122. #14583146C22semidirect
123. #14583143C22semidirect
124. #14583142C22semidirect
127. #14583135C22semidirect
128. #14583134C22semidirect
129. #14583134C22semidirect
131. #14583131C22semidirect
132. #14583129C22semidirect
133. #14583128C22semidirect
134. #14583128C22semidirect
135. #14583127C22semidirect
136. #14583125C22semidirect
138. #14583012C22semidirect
143. #14583009C22semidirect
144. #14583009C22semidirect
145. #14583009C22semidirect
148. #14583008C22semidirect
149. #14583004C22semidirect
150. #14583003C22semidirect
151. #14583001C22semidirect
152. #14583001C22semidirect
153. #14583000C22semidirect
154. #14582999C22semidirect
155. #14582998C22semidirect
156. #14582997C22semidirect
157. #14582990C22semidirect
158. SD16×Dic43C22semidirect
159. #14582986C22semidirect
160. #14582984C22semidirect
161. D8×Dic43C22semidirect
162. #14582981C22semidirect
163. #14582979C22semidirect
164. #14582979C22semidirect
179. #14582856C22semidirect
180. #14582856C22semidirect
181. #14582854C22semidirect
182. #14582854C22semidirect
183. C4×#10621877C22semidirect
185. #14582851C22semidirect
187. #97×D43C22semidirect
188. C43×#532C22semidirect
189. C43×#529C22semidirect
190. C43×#501C22semidirect
192. C43×#490C22semidirect
193. C43×#489C22semidirect
195. C43×#466C22semidirect
196. C43×#465C22semidirect
197. C43×#465C22semidirect
199. C43×#442C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C2×#97×C43C22semidirect
694. #10621872#41semidirect
698. C8×D43#41semidirect
883. #3180D43semidirect
952. #532C2×D43semidirect
958. #529C2×D43semidirect
971. #501C2×D43semidirect
987. #490C2×D43semidirect
991. #489C2×D43semidirect
1023. #466C2×D43semidirect
1030. #465C2×D43semidirect
1031. #465C2×D43semidirect
1045. #442C2×D43semidirect
1054. #440C2×D43semidirect
1055. #440C2×D43semidirect
1087. C2×#97C2×D43semidirect
1088. C43#60698semidirect

Maximal subgroups

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

subgroupindex
#191480162
#191480092
#191453302
#191453292
#191453202
#191453182
#191452932
#191452912
#191452892
#191452832
#191452812
#191452752
#191452732
#191452442
#191452382
#191452112
#191452052
#191451222
#191450792
#191449502
#191449462
#191442742
#191442682
#191442522
#191442382
#191434062
#191434002
#191433902
#442×D432
#191430202
C43×#31802
#6069843