Finite Group Databasebeta

← #10579232

Subgroups — #10579232

Order 512.

7031 conjugacy classes of subgroups.

The subgroup lattice has 1773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62800C211yesmaximal, characteristic, complemented
2C2×#3511C211yesmaximal, characteristic, complemented
3#62456C214yesmaximal, complemented
4#62452C214yesmaximal, complemented
5#62450C218yesmaximal, complemented
6#62427C214yesmaximal, complemented
7#62425C214yesmaximal, complemented
8#62424C212yesmaximal, complemented
9#62421C212yesmaximal, complemented
10#62418C212yesmaximal, complemented
11#62414C212yesmaximal, complemented
12#61403C214yesmaximal, complemented
13#61068C218yesmaximal, complemented
14#61067C214yesmaximal, complemented
15#60804C212yesmaximal, complemented
16#60803C211yesmaximal, characteristic, complemented
17#60801C212yesmaximal, complemented
18#60800C211yesmaximal, characteristic, complemented
19#60701C212yesmaximal, complemented
20#60700C211yesmaximal, characteristic, complemented
21#60639C212yesmaximal, complemented
22C2×#3152C211yesmaximal, characteristic, complemented
23M16×#41C211yesmaximal, characteristic, complemented
24C2×#575C2218yescomplemented
25C22×#137C2214yescomplemented
26#3522—21no—
27#3519—22no—
28#3519—21no—
29#3517C2212yescomplemented
30#3514C2214yescomplemented
31#3514C2212yescomplemented
32#3511—21no—
33#3511—21no—
34#3511—22no—
35#3511—22no—
36#3511—21no—
37#3511—21no—
38#3511C2212yes—
39#3511C2212yescomplemented
40#3511C2214yescomplemented
41#3511C2214yescomplemented
42#3511C2212yescomplemented
43#3511C2212yescomplemented
44#3511C2211yescharacteristic, complemented
45#3511C2212yescomplemented
46#3508C2211yescharacteristic, complemented
47#3508C2212yescomplemented
48#3503C2211yescharacteristic, complemented
49#3498C2211yescharacteristic, complemented
50#3494—21no—
51#3494—22no—
52#3488—21no—
53#3483—21no—
54#3481—21no—
55#3481—22no—
56#3480C2212yes—
57C2×#556C2212yescomplemented
58C2×#555—21no—
59C2×#554—21no—
60C2×#553—22no—
61D4×#41C2212yes—
62D4×#41C2214yes—
63C2×#548C2214yescomplemented
64C2×#547C2212yescomplemented
65#3460—21no—
66#3460—22no—
67C2×#542—22no—
68C2×#537—21no—
69#3444C2211yescharacteristic
70#3444C2212yes—
71C2×#533C2212yescomplemented
72C2×#532C2211yescharacteristic
73C2×#532C2212yes—
74C2×#532C2212yescomplemented
75C2×#532C2211yescharacteristic, complemented
76C22×C4⋊Q8C2211yescharacteristic, complemented
77C4×H(5,𝔽2)—21no—
78C2×#520—21no—
79C2×C4×#41C2211yescharacteristic
80#3402C22116yescomplemented
81#3401C22116yescomplemented
82#3398C2218yescomplemented
83#3397C2218yescomplemented
84#3394C2218yescomplemented
85#3393C2218yescomplemented
86#3285C22116yescomplemented
87#3284C2218yescomplemented
88#3283C2218yescomplemented
89#3282C22116yescomplemented
90#3277C22116yescomplemented
91#3276C2218yescomplemented
92#3275C22116yescomplemented
93#3272C2218yescomplemented
94#3271C22116yescomplemented
95#3270C22116yescomplemented
96#3269C22116yescomplemented
97#3269C22116yescomplemented
98#3267C22116yescomplemented
99#3265C22116yescomplemented
100#3219C2218yescomplemented
101#3219C2218yescomplemented
102#3218C2214yescomplemented
103#3218C2214yescomplemented
104#3216C2218yescomplemented
105#3215C2218yescomplemented
106#3214C2214yescomplemented
107#3213C2214yescomplemented
108#3210C2214yescomplemented
109#3210C2214yescomplemented
110#3210C2214yescomplemented
111#3210C2214yescomplemented
112#3209C2212yescomplemented
113#3209C2212yescomplemented
114#3209C2214yescomplemented
115#3208C2214yescomplemented
116#3207C2214yescomplemented
117#3207C2214yescomplemented
118#3207C2214yescomplemented
119#3206C2212yescomplemented
120#3206C2212yescomplemented
121#3206C2212yescomplemented
122#3205C2212yescomplemented
123#3185C2214yescomplemented
124#3184C2212yescomplemented
125#3182C2212yescomplemented
126#3182C2214yescomplemented
127#3181C2218yescomplemented
128#3180C2214yescomplemented
129#3172C2218yescomplemented
130#3171C2214yescomplemented
131#3170C2214yescomplemented
132#3169C2212yescomplemented
133#3167C2212yescomplemented
134#3167C2214yescomplemented
135#3165C2211yescharacteristic, complemented
136#3153C2218yescomplemented
137#3153C2218yescomplemented
138#3152C2212yescomplemented
139#3152C2212yescomplemented
140#3152C2212yescomplemented
141#3152C2214yescomplemented
142#3152C2214yescomplemented
143#3152C2214yescomplemented
144#3152C2214yescomplemented
145#3151C2211yescharacteristic, complemented
146#3151C2212yescomplemented
147#3151C2214yescomplemented
148#3150C2218yescomplemented
149C2×#497C2214yescomplemented
150#3147C2214yescomplemented
151#3147C2214yescomplemented
152C2×#494C2212yescomplemented
153C2×#492C2212yescomplemented
154#3141C2211yescharacteristic, complemented
155#3141C2212yescomplemented
156#3139C2212yescomplemented
157#3138C2211yescharacteristic, complemented
158#3056C2218yescomplemented
159#3055C2214yescomplemented
160#3040C2218yescomplemented
161#3039C2214yescomplemented
162#3037C2218yescomplemented
163#3036C2214yescomplemented
164#3007C2218yescomplemented
165#3006C2214yescomplemented
166#3005C2218yescomplemented
167#3004C2214yescomplemented
168#2971C2212yescomplemented
169#2970C2214yescomplemented
170#2970C2212yescomplemented
171#2965C2212yescomplemented
172#2965C2214yescomplemented
173C8×#41C2212yescomplemented
174Q8×M16C2212yescomplemented
175C4×#137C2218yescomplemented
176C4×AGL(1,ℤ/8)C2214yescomplemented
177D4×M16C2212yescomplemented
178D4×M16C2214yescomplemented
179#2920C2211yescharacteristic, complemented
180#2920C2212yescomplemented
181C2×C4×M16C2211yescharacteristic, complemented
182C2×C4×M16C2212yescomplemented
183C2×H(5,𝔽2)—21no—
184C22×#41—21no—
185C22×#41D411yescharacteristic
186C22×#41C2312yes—
187C22×#41C2314yes—
188C22×#41C2314yes—
189C23×Q8C2312yes—
190#575—432no—
191C2×#137—416no—
192C2×#137C2318yes—
193C2×#137C2318yes—
194C2×#137C23116yes—
195C2×#137C2318yes—
196C2×#137C23116yes—
197C2×AGL(1,ℤ/8)C2314yes—
198C2×AGL(1,ℤ/8)C2318yes—
199C2×AGL(1,ℤ/8)C23116yes—
200C2×#135C23116yes—
201C2×#135C23116yes—
202C22×Q16C2318yes—
203C22×SD16C2318yes—
204C22×M16C2312yes—
205C22×M16C2314yes—
206#559—21no—
207#559—22no—
208#559C2312yes—
209#559C2314yes—
210Q82—21no—
211#557C2312yes—
212#556—22no—
213#556—22no—
214#556—24no—
215#556C2312yes—
216#556C2314yes—
217#556C2314yes—
218#556C2318yes—
219#556C2314yes—
220#555—22no—
221#555—22no—
222#555—24no—
223#555—22no—
224#555—24no—
225#555—22no—
226#555—22no—
227#555—21no—
228#555—22no—
229#555—24no—
230#554—22no—
231#554—22no—
232#554—24no—
233#554—22no—
234#554—22no—
235#554—24no—
236#554—21no—
237#554—22no—
238#554—22no—
239#554—21no—
240#553—24no—
241#553—24no—
242#553—24no—
243#553—24no—
244#553—24no—
245#553—24no—
246#553—24no—
247#553—24no—
248#553—22no—
249#553—22no—
250#553—22no—
251#553—22no—
252#553—24no—
253#553—22no—
254#553—24no—
255#551—24no—
256#551—24no—
257#551—24no—
258#550—22no—
259#550—21no—
260#550—22no—
261#550—21no—
262#550C2314yes—
263#550C2312yes—
264#550C2312yes—
265D4×Q8C2314yes—
266D4×Q8C2312yes—
267#548—22no—
268#548—24no—
269#548—24no—
270#548—24no—
271#548—24no—
272#548C2318yes—
273#548C2318yes—
274#548C2318yes—
275#548C2318yes—
276#548C2314yes—
277#548C2314yes—
278#548C2314yes—
279#547—22no—
280#547—24no—
281#547—22no—
282#547—22no—
283#547—24no—
284#547C2314yes—
285#547C2318yes—
286#547C2314yes—
287#547C2314yes—
288#547C2312yes—
289#546—24no—
290#546—22no—
291#546—22no—
292#546—22no—
293#546—22no—
294#546—24no—
295#546—24no—
296#546—24no—
297#546C2314yes—
298#546C2314yes—
299#546C2314yes—
300D42—22no—
301D42—24no—
302D42—22no—
303D42—21no—
304D42C2314yes—
305D42C2312yes—
306#544—21no—
307#544—22no—
308#542—24no—
309#542—22no—
310#542—24no—
311#542—24no—
312#542—24no—
313#542—24no—
314#542—24no—
315#542—24no—
316#542—24no—
317#542—24no—
318#542—22no—
319#542—22no—
320#542—22no—
321#540—24no—
322#540—22no—
323#540—22no—
324#540—22no—
325#540—22no—
326#538—24no—
327#538—24no—
328#538—24no—
329#537—22no—
330#537—22no—
331#537—24no—
332#537—24no—
333#537—22no—
334#537—22no—
335#537—21no—
336#537—22no—
337#535—21no—
338#535—22no—
339#535—21no—
340#535—22no—
341#533—22no—
342#533—22no—
343#533—22no—
344#533—22no—
345#533C2311yescharacteristic
346#533C2314yes—
347#533C2312yes—
348#533C2314yes—
349#533C2314yes—
350#533C2311yescharacteristic
351#533C2314yes—
352#533C2312yes—
353#533C2311yescharacteristic
354#532—22no—
355#532—24no—
356#532—21no—
357#532—22no—
358#532—21no—
359#532—22no—
360#532—22no—
361#532—21no—
362#532—22no—
363#532—21no—
364#532—21no—
365#532—22no—
366#532—21no—
367#532—22no—
368#532—21no—
369#532—22no—
370#532—21no—
371#532—22no—
372#532C2311yescharacteristic
373#532C2312yes—
374#532C2312yes—
375#532C2312yes—
376#532C2314yes—
377#532C2314yes—
378#532C2314yes—
379#532C2314yes—
380#532C2312yes—
381#532C2312yes—
382#532C2312yes—
383#532C2314yes—
384#532C2314yes—
385#532C2312yes—
386#532C2312yes—
387#532C2311yescharacteristic
388#532C2312yes—
389#532C2312yes—
390#532C2312yes—
391#532C2312yes—
392#532C2311yescharacteristic
393C2×C4⋊Q8—21no—
394C2×C4⋊Q8—21no—
395C2×C4⋊Q8—21no—
396C2×C4⋊Q8—21no—
397C2×C4⋊Q8—21no—
398C2×C4⋊Q8—21no—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2311yescharacteristic
408C2×#127C2311yescharacteristic
409C2×#127C2311yescharacteristic
410C2×#127C2312yes—
411#529—22no—
412#529—24no—
413#529—21no—
414#529—22no—
415#529—21no—
416#529—22no—
417#529—22no—
418#529—21no—
419#529—22no—
420#529—21no—
421#529C2312yes—
422#529C2314yes—
423#529C2312yes—
424#529C2314yes—
425C2×#126—24no—
426C2×#125—22no—
427C2×#124—24no—
428C2×#124—21no—
429C2×#124C2312yes—
430C2×#124C2314yes—
431C2×#124C2314yes—
432#525—21no—
433#525—22no—
434#525—21no—
435#525—22no—
436#525—24no—
437#525—24no—
438#525—24no—
439#525C2312yes—
440#525C2314yes—
441C2×#123—24no—
442C2×C22⋊Q8—22no—
443C2×C22⋊Q8—22no—
444C2×C22⋊Q8—24no—
445C2×C22⋊Q8C2314yes—
446C2×#121—22no—
447C2×#121—24no—
448C2×#121—21no—
449C2×#121—22no—
450C2×#121—21no—
451C2×#121—22no—
452C2×#121—22no—
453C2×#121—21no—
454C2×#121—22no—
455C2×#121C2312yes—
456#520—21no—
457#520—22no—
458#520—22no—
459#520—22no—
460#520—24no—
461#520—24no—
462#520—22no—
463#520—22no—
464#520—21no—
465#520—22no—
466#518—24no—
467#518—22no—
468#518—21no—
469#518—22no—
470C4×#41—22no—
471C4×#41—21no—
472C4×#41—22no—
473C4×#41—21no—
474C4×#41—22no—
475C4×#41D411yescharacteristic
476C4×#41D411yescharacteristic
477C4×#41D412yes—
478C4×#41D412yes—
479C4×#41D411yescharacteristic
480C4×#41D411yescharacteristic
481C4×#41C2312yes—
482C4×#41C2314yes—
483C4×#41C2311yescharacteristic
484C4×#41C2311yescharacteristic
485C4×#41C2312yes—
486C4×#41C2312yes—
487C4×#41C2311yescharacteristic
488C4×#41C2311yescharacteristic
489C2×C4×Q8—22no—
490C2×C4×Q8D411yescharacteristic
491C2×C4×Q8C2314yes—
492C2×C4×Q8C2311yescharacteristic
493C2×C4×D4—22no—
494C2×C4×D4—24no—
495C2×C4×D4—24no—
496C2×C4×D4—22no—
497C2×C4×D4—21no—
498C2×C4×D4—22no—
499C2×C4×D4—21no—
500C2×C4×D4—22no—
501C2×C4×D4—22no—
502C2×C4×D4—21no—
503C2×C4×D4D412yes—
504C2×C4×D4D411yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2312yes—
508C2×#117—22no—
509C2×#117—22no—
510C2×#117D411yescharacteristic
511C2×#117D412yes—
512C22×C4⋊C4—21no—
513C22×C4⋊C4—21no—
514C22×C4⋊C4—22no—
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517#501C2314yes—
518#500C2312yes—
519#498C2312yes—
520#497C23116yes—
521#497C23116yes—
522#497C2318yes—
523#497C2318yes—
524#497C2318yes—
525#496C23116yes—
526#496C2314yes—
527#496C2318yes—
528#495C23116yes—
529#495C23116yes—
530#494C2318yes—
531#494C2314yes—
532#494C2314yes—
533#494C2314yes—
534#493C2312yes—
535#493C2314yes—
536#492C2318yes—
537#492C2314yes—
538#492C2314yes—
539#492C2312yes—
540#492C2314yes—
541#492C2314yes—
542#491C2318yes—
543#490C2314yes—
544#489C2314yes—
545#489C2318yes—
546#487C2314yes—
547#487C2314yes—
548#487C2312yes—
549#487C2314yes—
550#486C2312yes—
551#486C2312yes—
552#486C2314yes—
553#486C2312yes—
554#470C23116yes—
555#469C2318yes—
556#468C2318yes—
557#468C23116yes—
558#467C23116yes—
559#466C2318yes—
560#465C2318yes—
561#465C23116yes—
562#464C23116yes—
563#464C23116yes—
564#464C23116yes—
565#464C23116yes—
566#463C23116yes—
567#463C23116yes—
568#463C23116yes—
569#462C2318yes—
570#462C23116yes—
571#462C2318yes—
572#461C2318yes—
573#461C2318yes—
574#461C2318yes—
575#460C23116yes—
576#459C2318yes—
577#452C23116yes—
578#452C23116yes—
579#452C23116yes—
580#452C23116yes—
581#451C23116yes—
582#451C2318yes—
583#451C2318yes—
584#450C23116yes—
585#449C23116yes—
586#449C23116yes—
587#449C23116yes—
588#448C2318yes—
589#448C2318yes—
590#448C2318yes—
591#447C2318yes—
592#446C2314yes—
593#446C2318yes—
594C8×Q8C2314yes—
595#442C2318yes—
596#441C23116yes—
597#440C23116yes—
598#440C2318yes—
599C4×Q16C23116yes—
600C4×SD16C2318yes—
601C4×SD16C23116yes—
602C4×D8C2318yes—
603#436C2314yes—
604#436C2318yes—
605#435C2318yes—
606#435C2318yes—
607#435C2318yes—
608C8×D4C2318yes—
609C8×D4C2314yes—
610#432C2312yes—
611#432C2312yes—
612#432C2314yes—
613#432C2314yes—
614#431C2312yes—
615#431C2312yes—
616#431C2314yes—
617#431C2314yes—
618#428C2314yes—
619#423C2312yes—
620#423C2314yes—
621#419C2318yes—
622#418C2314yes—
623#417C2314yes—
624#417C2318yes—
625#407C2312yes—
626#407C2314yes—
627C4×M16C2311yescharacteristic
628C4×M16C2311yescharacteristic
629C4×M16C2312yes—
630C4×M16C2314yes—
631C4×M16C2312yes—
632C4×M16C2312yes—
633C4×M16C2312yes—
634C4×M16C2314yes—
635C4×M16C2314yes—
636C2×#97C2312yes—
637C2×#97C2314yes—
638C2×C4×C8C2312yes—
639C2×C4×C8C2314yes—
640H(5,𝔽2)—48no—
641C2×#41—22no—
642C2×#41—22no—
643C2×#41—21no—
644C2×#41—22no—
645C2×#41—22no—
646C2×#41—22no—
647C2×#41—22no—
648C2×#41—21no—
649C2×#41—22no—
650C2×#41—22no—
651C2×#41—24no—
652C2×#41—22no—
653C2×#41—24no—
654C2×#41—24no—
655C2×#41—24no—
656C2×#41—44no—
657C2×#41—48no—
658C2×#41—416no—
659C2×#41—48no—
660C2×#41—416no—
661C2×#41C2×D411yescharacteristic
662C2×#41C2×D411yescharacteristic
663C2×#41C2×D412yes—
664C2×#41C2×D412yes—
665C2×#41C2×D411yescharacteristic
666C2×#41C2×D411yescharacteristic
667C2×#41C2412yes—
668C2×#41C2414yes—
669C2×#41C2414yes—
670C2×#41C2414yes—
671C2×#41C2414yes—
672C2×#41C2418yes—
673C2×#41C2418yes—
674C22×Q8—21no—
675C22×Q8—22no—
676C22×Q8—22no—
677C22×Q8—22no—
678C22×Q8—48no—
679C22×Q8C2×D411yescharacteristic
680C22×Q8C2414yes—
681C22×Q8C2412yes—
682C22×Q8C2414yes—
683C22×Q8C2414yes—
684C22×Q8C2414yes—
685C22×D4—22no—
686C22×D4—24no—
687C22×D4—22no—
688C22×D4—24no—
689C22×D4—24no—
690C22×D4—22no—
691C22×D4—21no—
692C22×D4—21no—
693C22×D4—22no—
694C22×D4—21no—
695C22×D4—21no—
696C22×D4—22no—
697C22×D4C2×D411yescharacteristic
698C22×D4C2×D412yes—
699C22×D4C2412yes—
700C22×D4C2412yes—
701C22×D4C2414yes—
702C23×C4—22no—
703C23×C4—22no—
704C23×C4—24no—
705C23×C4—22no—
706C23×C4—24no—
707C23×C4C2×D411yescharacteristic
708C23×C4C2×D411yescharacteristic
709C23×C4C2×D412yes—
710C23×C4C2×D412yes—
711C23×C4C2411yescharacteristic
712C23×C4C2412yes—
713#137—232no—
714#137—432no—
715#137—432no—
716#137—416no—
717#137—416no—
718AGL(1,ℤ/8)—216no—
719AGL(1,ℤ/8)—432no—
720AGL(1,ℤ/8)—416no—
721#135—432no—
722#135—432no—
723C2×Q16—416no—
724C2×Q16C24116yes—
725C2×Q16C24116yes—
726C2×Q16C24116yes—
727C2×SD16—416no—
728C2×SD16C24116yes—
729C2×SD16C2418yes—
730C2×SD16C24116yes—
731C2×SD16C24116yes—
732C2×SD16C24116yes—
733C2×D8C2418yes—
734C2×D8C24116yes—
735C2×M16—28no—
736C2×M16—216no—
737C2×M16C2414yes—
738C2×M16C2418yes—
739C2×M16C2412yes—
740C2×M16C2414yes—
741C2×M16C2412yes—
742C22×C8C2414yes—
743C22×C8C2418yes—
744C4⋊Q8—22no—
745C4⋊Q8—24no—
746C4⋊Q8—22no—
747C4⋊Q8—22no—
748C4⋊Q8—22no—
749C4⋊Q8—22no—
750C4⋊Q8—22no—
751C4⋊Q8—22no—
752C4⋊Q8—22no—
753C4⋊Q8—22no—
754C4⋊Q8—22no—
755C4⋊Q8—22no—
756C4⋊Q8—22no—
757C4⋊Q8—22no—
758C4⋊Q8—21no—
759C4⋊Q8—21no—
760C4⋊Q8—22no—
761C4⋊Q8—21no—
762C4⋊Q8—22no—
763C4⋊Q8—21no—
764C4⋊Q8C2414yes—
765C4⋊Q8C2414yes—
766C4⋊Q8C2414yes—
767C4⋊Q8C2414yes—
768C4⋊Q8C2412yes—
769C4⋊Q8C2411yescharacteristic
770C4⋊Q8C2412yes—
771C4⋊Q8C2414yes—
772C4⋊Q8C2412yes—
773C4⋊Q8C2412yes—
774C4⋊Q8C2411yescharacteristic
775C4⋊Q8C2411yescharacteristic
776#127—22no—
777#127—24no—
778#127—21no—
779#127—21no—
780#127—22no—
781#127—21no—
782#127—22no—
783#127—21no—
784#127C2412yes—
785#127C2411yescharacteristic
786#127C2412yes—
787#127C2412yes—
788#127C2412yes—
789#127C2414yes—
790#126—28no—
791#126—28no—
792#126—28no—
793#126—28no—
794#126—24no—
795#126—24no—
796#126—24no—
797#126—24no—
798#126—22no—
799#126—24no—
800#126—22no—
801#125—22no—
802#125—24no—
803#125—24no—
804#125—24no—
805#125—24no—
806#125—24no—
807#125—22no—
808#125—21no—
809#125—22no—
810#125—21no—
811#125C2412yes—
812#124—22no—
813#124—24no—
814#124—28no—
815#124—28no—
816#124—28no—
817#124—28no—
818#124—24no—
819#124—24no—
820#124—24no—
821#124—22no—
822#124—22no—
823#124—22no—
824#124—22no—
825#124—24no—
826#124—22no—
827#124—24no—
828#124—24no—
829#124—24no—
830#124—22no—
831#124—22no—
832#124—21no—
833#124—22no—
834#124—21no—
835#124C2414yes—
836#124C2412yes—
837#124C2414yes—
838#124C2414yes—
839#124C2414yes—
840#124C2418yes—
841#124C2418yes—
842#123—22no—
843#123—24no—
844#123—22no—
845#123—24no—
846#123—22no—
847#123—24no—
848#123—24no—
849#123—24no—
850#123—24no—
851#123—24no—
852#123—24no—
853#123—24no—
854#123—28no—
855#123—28no—
856#123—28no—
857#123—28no—
858#123—24no—
859#123—24no—
860#123—24no—
861C22⋊Q8—24no—
862C22⋊Q8—24no—
863C22⋊Q8—28no—
864C22⋊Q8—22no—
865C22⋊Q8—24no—
866C22⋊Q8—24no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—24no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—21no—
873C22⋊Q8—21no—
874C22⋊Q8—21no—
875C22⋊Q8—22no—
876C22⋊Q8—21no—
877C22⋊Q8—22no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8C2418yes—
889C22⋊Q8C2418yes—
890C22⋊Q8C2412yes—
891C22⋊Q8C2414yes—
892C22⋊Q8C2412yes—
893C22⋊Q8C2414yes—
894#121—24no—
895#121—24no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—24no—
902#121—24no—
903#121—24no—
904#121—22no—
905#121—24no—
906#121—22no—
907#121—21no—
908#121—22no—
909#121—21no—
910#121—22no—
911#121—22no—
912#121—22no—
913#121—24no—
914#121—24no—
915#121—24no—
916#121—24no—
917#121—22no—
918#121—24no—
919#121—22no—
920#121—24no—
921#121—24no—
922#121—22no—
923#121—22no—
924#121—22no—
925#121—22no—
926#121—22no—
927#121—24no—
928#121—22no—
929#121—22no—
930#121—22no—
931#121—22no—
932#121—24no—
933#121—24no—
934#121—24no—
935#121—24no—
936#121—22no—
937#121—22no—
938#121—21no—
939#121—22no—
940#121—21no—
941#121—22no—
942#121—22no—
943#121—24no—
944#121—22no—
945#121—24no—
946#121—24no—
947#121—24no—
948#121—24no—
949#121—24no—
950#121—24no—
951#121—24no—
952#121C2414yes—
953#121C2414yes—
954#121C2412yes—
955#121C2414yes—
956#121C2412yes—
957#121C2414yes—
958#120—22no—
959#120—24no—
960#120—24no—
961#120—24no—
962#120—24no—
963#120—24no—
964#120—24no—
965#120—24no—
966C4×Q8—22no—
967C4×Q8—24no—
968C4×Q8—24no—
969C4×Q8—24no—
970C4×Q8—24no—
971C4×Q8—24no—
972C4×Q8—24no—
973C4×Q8—21no—
974C4×Q8—21no—
975C4×Q8—22no—
976C4×Q8—21no—
977C4×Q8—22no—
978C4×Q8—21no—
979C4×Q8C2×D411yescharacteristic
980C4×Q8C2×D412yes—
981C4×Q8C2×D411yescharacteristic
982C4×Q8C2×D411yescharacteristic
983C4×Q8C2×D411yescharacteristic
984C4×Q8C2×D412yes—
985C4×Q8C2×D411yescharacteristic
986C4×Q8C2×D411yescharacteristic
987C4×Q8C2×D412yes—
988C4×Q8C2418yes—
989C4×Q8C2418yes—
990C4×Q8C2414yes—
991C4×Q8C2412yes—
992C4×Q8C2412yes—
993C4×Q8C2414yes—
994C4×Q8C2411yescharacteristic
995C4×Q8C2411yescharacteristic
996C4×Q8C2412yes—
997C4×D4—24no—
998C4×D4—22no—
999C4×D4—22no—
1000C4×D4—24no—
1001C4×D4—22no—
1002C4×D4—24no—
1003C4×D4—22no—
1004C4×D4—24no—
1005C4×D4—22no—
1006C4×D4—24no—
1007C4×D4—22no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—22no—
1011C4×D4—22no—
1012C4×D4—24no—
1013C4×D4—22no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—22no—
1023C4×D4—24no—
1024C4×D4—22no—
1025C4×D4—21no—
1026C4×D4—22no—
1027C4×D4—21no—
1028C4×D4—24no—
1029C4×D4—22no—
1030C4×D4—22no—
1031C4×D4—22no—
1032C4×D4—22no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—22no—
1038C4×D4—24no—
1039C4×D4—22no—
1040C4×D4—22no—
1041C4×D4—22no—
1042C4×D4—24no—
1043C4×D4—22no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—22no—
1049C4×D4—22no—
1050C4×D4—22no—
1051C4×D4—22no—
1052C4×D4—22no—
1053C4×D4—22no—
1054C4×D4—22no—
1055C4×D4—21no—
1056C4×D4—22no—
1057C4×D4—21no—
1058C4×D4C2×D411yescharacteristic
1059C4×D4C2×D412yes—
1060C4×D4C2×D412yes—
1061C4×D4C2×D411yescharacteristic
1062C4×D4C2×D412yes—
1063C4×D4C2×D412yes—
1064C4×D4C2×D412yes—
1065C4×D4C2×D412yes—
1066C4×D4C2×D411yescharacteristic
1067C4×D4C2×D412yes—
1068C4×D4C2×D411yescharacteristic
1069C4×D4C2×D412yes—
1070C4×D4C2×D412yes—
1071C4×D4C2×D412yes—
1072C4×D4C2×D412yes—
1073C4×D4C2×D411yescharacteristic
1074C4×D4C2×D412yes—
1075C4×D4C2×D412yes—
1076C4×D4C2×D412yes—
1077C4×D4C2×D411yescharacteristic
1078C4×D4C2×D412yes—
1079C4×D4C2414yes—
1080C4×D4C2414yes—
1081C4×D4C2412yes—
1082C4×D4C2414yes—
1083C4×D4C2414yes—
1084C4×D4C2412yes—
1085C4×D4C2411yescharacteristic
1086C4×D4C2412yes—
1087C4×D4C2412yes—
1088C4×D4C2412yes—
1089C4×D4C2412yes—
1090C4×D4C2411yescharacteristic
1091C4×D4C2412yes—
1092#117—24no—
1093#117—24no—
1094#117—24no—
1095#117—24no—
1096#117—22no—
1097#117—21no—
1098#117—21no—
1099#117—22no—
1100#117—24no—
1101#117—24no—
1102#117—28no—
1103#117—22no—
1104#117—24no—
1105#117—24no—
1106#117—22no—
1107#117—24no—
1108#117—22no—
1109#117—22no—
1110#117—24no—
1111#117C2×D411yescharacteristic
1112#117C2×D412yes—
1113#117C2×D411yescharacteristic
1114#117C2×D412yes—
1115#117C2×D412yes—
1116#117C2×D411yescharacteristic
1117#117C2×D411yescharacteristic
1118#117C2×D412yes—
1119#117C2×D412yes—
1120#117C2×D412yes—
1121#117C2×D412yes—
1122#117C2×D412yes—
1123#117C2×D412yes—
1124#117C2×D412yes—
1125#117C2412yes—
1126C2×C4⋊C4—22no—
1127C2×C4⋊C4—22no—
1128C2×C4⋊C4—22no—
1129C2×C4⋊C4—24no—
1130C2×C4⋊C4—22no—
1131C2×C4⋊C4—22no—
1132C2×C4⋊C4—22no—
1133C2×C4⋊C4—22no—
1134C2×C4⋊C4—22no—
1135C2×C4⋊C4—22no—
1136C2×C4⋊C4—22no—
1137C2×C4⋊C4—22no—
1138C2×C4⋊C4—22no—
1139C2×C4⋊C4—21no—
1140C2×C4⋊C4—22no—
1141C2×C4⋊C4—21no—
1142C2×C4⋊C4—21no—
1143C2×C4⋊C4—22no—
1144C2×C4⋊C4—24no—
1145C2×C4⋊C4—24no—
1146C2×C4⋊C4—24no—
1147C2×C4⋊C4—28no—
1148C2×C4⋊C4—22no—
1149C2×C4⋊C4—24no—
1150C2×C4⋊C4C2×D411yescharacteristic
1151C2×C4⋊C4C2×D411yescharacteristic
1152C2×C4⋊C4C2×D412yes—
1153C2×C4⋊C4C2×D412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C22⋊C4—24no—
1156C2×C22⋊C4—24no—
1157C2×C22⋊C4—22no—
1158C2×C22⋊C4—24no—
1159C2×C22⋊C4—24no—
1160C2×C22⋊C4—22no—
1161C2×C22⋊C4—24no—
1162C2×C22⋊C4—22no—
1163C2×C22⋊C4—22no—
1164C2×C22⋊C4—24no—
1165C2×C22⋊C4—24no—
1166C2×C22⋊C4—24no—
1167C2×C22⋊C4C2×D412yes—
1168C2×C22⋊C4C2×D412yes—
1169C2×C22⋊C4C2×D412yes—
1170C2×C42—24no—
1171C2×C42—22no—
1172C2×C42—24no—
1173C2×C42C2×D412yes—
1174C2×C42C2×D411yescharacteristic
1175C2×C42C2×D412yes—
1176C2×C42C2×D411yescharacteristic
1177C2×C42C2×D411yescharacteristic
1178C2×C42C2×D412yes—
1179C2×C42C2×D411yescharacteristic
1180C2×C42C2×D412yes—
1181C2×C42C2×D411yescharacteristic
1182C2×C42C2×D412yes—
1183C2×C42C2×D411yescharacteristic
1184C2×C42C2×D412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196#107C2418yes—
1197#106C2418yes—
1198C4⋊C8C2414yes—
1199C4⋊C8C2418yes—
1200C4⋊C8C2418yes—
1201C4⋊C8C2414yes—
1202#103C2418yes—
1203#103C24116yes—
1204#103C24116yes—
1205#103C24116yes—
1206#102C2418yes—
1207#102C24116yes—
1208#102C2418yes—
1209#102C2418yes—
1210C22⋊C8C2414yes—
1211C22⋊C8C2418yes—
1212C22⋊C8C2414yes—
1213C22⋊C8C2418yes—
1214#97C2412yes—
1215#97C2412yes—
1216#97C2414yes—
1217#97C2418yes—
1218#97C2414yes—
1219C4×C8C2412yes—
1220C4×C8C2412yes—
1221C4×C8C2414yes—
1222C4×C8C2414yes—
1223C4×C8C2418yes—
1224C24—22no—
1225C24—24no—
1226C24—22no—
1227C24C22×D411yescharacteristic
1228C24C22×D412yes—
1229#41—24no—
1230#41—24no—
1231#41—28no—
1232#41—216no—
1233#41—44no—
1234#41—44no—
1235#41—42no—
1236#41—42no—
1237#41—48no—
1238#41—48no—
1239#41—48no—
1240#41—48no—
1241#41—48no—
1242#41—416no—
1243#41—48no—
1244#41—416no—
1245#41—48no—
1246#41—48no—
1247#41—48no—
1248#41—44no—
1249#41—84no—
1250#41—88no—
1251#41—88no—
1252#41—84no—
1253#41—82no—
1254#41—84no—
1255#41—88no—
1256#41—88no—
1257C2×Q8—21no—
1258C2×Q8—21no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—24no—
1262C2×Q8—24no—
1263C2×Q8—24no—
1264C2×Q8—22no—
1265C2×Q8—24no—
1266C2×Q8—216no—
1267C2×Q8—42no—
1268C2×Q8—44no—
1269C2×Q8—48no—
1270C2×Q8—44no—
1271C2×Q8—48no—
1272C2×Q8—48no—
1273C2×Q8—84no—
1274C2×Q8—84no—
1275C2×Q8—84no—
1276C2×Q8C22×D411yescharacteristic
1277C2×Q8C22×D411yescharacteristic
1278C2×Q8C22×D412yes—
1279C2×Q8C2512yes—
1280C2×Q8C2514yes—
1281C2×Q8C2518yes—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—28no—
1294C2×D4—28no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—24no—
1300C2×D4—21no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—21no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—28no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—48no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—48no—
1317C2×D4—44no—
1318C2×D4—416no—
1319C2×D4—48no—
1320C2×D4—48no—
1321C2×D4—44no—
1322C2×D4—82no—
1323C2×D4—84no—
1324C2×D4—88no—
1325C2×D4—84no—
1326C2×D4—88no—
1327C2×D4C22×D412yes—
1328C2×D4C22×D411yescharacteristic
1329C2×D4C22×D412yes—
1330C2×D4C22×D411yescharacteristic
1331C2×D4C22×D412yes—
1332C2×D4C22×D412yes—
1333C2×D4C22×D412yes—
1334C2×D4C2514yes—
1335C2×D4C2512yes—
1336C2×D4C2514yes—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—28no—
1358C22×C4—28no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—48no—
1363C22×C4—84no—
1364C22×C4—88no—
1365C22×C4—88no—
1366C22×C4—84no—
1367C22×C4C22×D411yescharacteristic
1368C22×C4C22×D411yescharacteristic
1369C22×C4C22×D411yescharacteristic
1370C22×C4C22×D412yes—
1371C22×C4C22×D411yescharacteristic
1372C22×C4C22×D411yescharacteristic
1373C22×C4C22×D412yes—
1374C22×C4C22×D412yes—
1375C22×C4C22×D411yescharacteristic
1376C22×C4C22×D411yescharacteristic
1377C22×C4C22×D411yescharacteristic
1378C22×C4C22×D411yescharacteristic
1379C22×C4C22×D411yescharacteristic
1380C22×C4C22×D411yescharacteristic
1381C22×C4C22×D412yes—
1382C22×C4C22×D412yes—
1383C22×C4C22×D412yes—
1384C22×C4C22×D412yes—
1385C22×C4C22×D412yes—
1386C22×C4C22×D411yescharacteristic
1387C22×C4C22×D412yes—
1388C22×C4C22×D411yescharacteristic
1389C22×C4C22×D412yes—
1390C22×C4C22×D412yes—
1391C22×C4C22×D411yescharacteristic
1392C22×C4C22×D412yes—
1393C22×C4C22×D412yes—
1394C22×C4C22×D411yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400Q16—232no—
1401Q16—416no—
1402Q16—416no—
1403SD16—232no—
1404SD16—216no—
1405SD16—416no—
1406SD16—416no—
1407SD16—416no—
1408D8—216no—
1409D8—416no—
1410M16—28no—
1411M16—24no—
1412M16—216no—
1413M16—28no—
1414M16H(5,𝔽2)18yescomplemented
1415C2×C8—28no—
1416C2×C8—216no—
1417C2×C8C2514yes—
1418C2×C8C2518yes—
1419C2×C8C2514yes—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—21no—
1433C4⋊C4—22no—
1434C4⋊C4—21no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—22no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4C22×D411yescharacteristic
1456C4⋊C4C22×D411yescharacteristic
1457C4⋊C4C22×D412yes—
1458C4⋊C4C22×D412yes—
1459C4⋊C4C22×D411yescharacteristic
1460C4⋊C4C22×D411yescharacteristic
1461C4⋊C4C22×D412yes—
1462C4⋊C4C22×D412yes—
1463C4⋊C4C22×D412yes—
1464C4⋊C4C22×D412yes—
1465C4⋊C4C22×D412yes—
1466C4⋊C4C22×D412yes—
1467C4⋊C4C22×D412yes—
1468C4⋊C4C22×D412yes—
1469C4⋊C4C2514yes—
1470C4⋊C4C2512yes—
1471C4⋊C4C2512yes—
1472C22⋊C4—24no—
1473C22⋊C4—22no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—22no—
1484C22⋊C4—24no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—22no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—22no—
1503C22⋊C4—24no—
1504C22⋊C4—22no—
1505C22⋊C4C22×D412yes—
1506C22⋊C4C22×D412yes—
1507C22⋊C4C22×D412yes—
1508C22⋊C4C22×D412yes—
1509C22⋊C4C22×D412yes—
1510C22⋊C4C22×D412yes—
1511C22⋊C4C22×D412yes—
1512C22⋊C4C22×D412yes—
1513C22⋊C4C22×D412yes—
1514C22⋊C4C22×D412yes—
1515C22⋊C4C22×D412yes—
1516C22⋊C4C22×D412yes—
1517C42—22no—
1518C42—24no—
1519C42—22no—
1520C42—28no—
1521C42—28no—
1522C42—24no—
1523C42—22no—
1524C42C22×D411yescharacteristic
1525C42C22×D412yes—
1526C42C22×D411yescharacteristic
1527C42C22×D411yescharacteristic
1528C42C22×D412yes—
1529C42C22×D411yescharacteristic
1530C42C22×D412yes—
1531C42C22×D411yescharacteristic
1532C42C22×D411yescharacteristic
1533C42C22×D412yes—
1534C42C22×D412yes—
1535C42C22×D412yes—
1536C42C22×D411yescharacteristic
1537C42C22×D412yes—
1538C42C22×D411yescharacteristic
1539C42C22×D411yescharacteristic
1540C42C22×D412yes—
1541C42C22×D411yescharacteristic
1542C42C22×D412yes—
1543C42C22×D411yescharacteristic
1544C42C22×D412yes—
1545C42C22×D411yescharacteristic
1546C42C2511yescharacteristic
1547C42C2511yescharacteristic
1548C42C2512yes—
1549C42C2511yescharacteristic
1550C42C2511yescharacteristic
1551C42C2512yes—
1552C23—22no—
1553C23—22no—
1554C23—24no—
1555C23—24no—
1556C23—22no—
1557C23—24no—
1558C23—41no—
1559C23—42no—
1560C23—42no—
1561C23—44no—
1562C23—44no—
1563C23—48no—
1564C23—44no—
1565C23—44no—
1566C23—82no—
1567C23—84no—
1568C23—82no—
1569C23—84no—
1570C23C23×D412yes—
1571C23C23×D412yes—
1572C23C23×D411yescharacteristic
1573C23C23×D411yescharacteristic
1574C23C23×D411yescharacteristic
1575Q8—22no—
1576Q8—22no—
1577Q8—24no—
1578Q8—216no—
1579Q8—28no—
1580Q8—42no—
1581Q8—44no—
1582Q8—42no—
1583Q8—48no—
1584Q8—44no—
1585Q8—42no—
1586Q8—84no—
1587Q8—84no—
1588Q8—84no—
1589Q8—82no—
1590D4—24no—
1591D4—24no—
1592D4—24no—
1593D4—28no—
1594D4—28no—
1595D4—22no—
1596D4—22no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—44no—
1601D4—48no—
1602D4—44no—
1603D4—48no—
1604D4—48no—
1605D4—44no—
1606D4—48no—
1607D4—44no—
1608D4—48no—
1609D4—44no—
1610D4—44no—
1611D4—42no—
1612D4—44no—
1613D4—42no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—84no—
1618D4—82no—
1619D4—84no—
1620D4—82no—
1621D4—84no—
1622D4—84no—
1623D4—84no—
1624D4—88no—
1625D4—88no—
1626D4—82no—
1627D4—84no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—28no—
1656C2×C4—41no—
1657C2×C4—42no—
1658C2×C4—41no—
1659C2×C4—42no—
1660C2×C4—42no—
1661C2×C4—41no—
1662C2×C4—42no—
1663C2×C4—42no—
1664C2×C4—42no—
1665C2×C4—48no—
1666C2×C4—48no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—44no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—88no—
1676C2×C4—88no—
1677C2×C4—84no—
1678C2×C4—84no—
1679C2×C4—82no—
1680C2×C4—82no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4#57514yescomplemented
1685C2×C4C23×D412yes—
1686C2×C4C23×D412yes—
1687C2×C4C23×D411yescharacteristic
1688C2×C4C23×D412yes—
1689C2×C4C23×D411yescharacteristic
1690C2×C4C23×D411yescharacteristic
1691C2×C4C23×D411yescharacteristic
1692C2×C4C23×D411yescharacteristic
1693C2×C4C23×D412yes—
1694C2×C4C23×D412yes—
1695C2×C4C23×D412yes—
1696C2×C4C23×D411yescharacteristic
1697C2×C4C23×D411yescharacteristic
1698C2×C4C23×D411yescharacteristic
1699C2×C4C23×D411yescharacteristic
1700C2×C4C23×D411yescharacteristic
1701C2×C4C23×D411yescharacteristic
1702C2×C4C2×H(5,𝔽2)14yes—
1703C2×C4C2611yescharacteristic
1704C8—28no—
1705C8—24no—
1706C8C2×H(5,𝔽2)18yes—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—22no—
1714C22—21no—
1715C22—22no—
1716C22—22no—
1717C22—21no—
1718C22—22no—
1719C22—22no—
1720C22—44no—
1721C22—42no—
1722C22—44no—
1723C22—44no—
1724C22—44no—
1725C22—44no—
1726C22—42no—
1727C22—44no—
1728C22—42no—
1729C22—44no—
1730C22—84no—
1731C22—88no—
1732C22—164no—
1733C22—168no—
1734C22#349812yes—
1735C22C2×#57512yes—
1736C22C24×D411yescharacteristic
1737C4—22no—
1738C4—22no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—22no—
1744C4—22no—
1745C4—21no—
1746C4—22no—
1747C4—21no—
1748C4—22no—
1749C4—21no—
1750C4—42no—
1751C4—44no—
1752C4—48no—
1753C4—42no—
1754C4—44no—
1755C4—42no—
1756C4#349812yes—
1757C4C2×#57512yes—
1758C4C2×#57512yes—
1759C4#358612yes—
1760C4C22×H(5,𝔽2)12yes—
1761C2—22no—
1762C2—22no—
1763C2—41no—
1764C2—42no—
1765C2—42no—
1766C2—84no—
1767C2—84no—
1768C2—82no—
1769C2C2×#349811yescharacteristic
1770C2C22×#57511yescharacteristic
1771C2C2×#358611yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C4×#41 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62800C2semidirect
2. C2×#3511C2semidirect
3. #62456C2semidirect
4. #62452C2semidirect
5. #62450C2semidirect
6. #62427C2semidirect
7. #62425C2semidirect
8. #62424C2semidirect
9. #62421C2semidirect
10. #62418C2semidirect
11. #62414C2semidirect
12. #61403C2semidirect
13. #61068C2semidirect
14. #61067C2semidirect
15. #60804C2semidirect
16. #60803C2semidirect
17. #60801C2semidirect
18. #60800C2semidirect
19. #60701C2semidirect
20. #60700C2semidirect
21. #60639C2semidirect
22. C2×#3152C2semidirect
23. M16×#41C2semidirect
24. C2×#575C22semidirect
25. C22×#137C22semidirect
29. #3517C22semidirect
30. #3514C22semidirect
31. #3514C22semidirect
39. #3511C22semidirect
40. #3511C22semidirect
41. #3511C22semidirect
42. #3511C22semidirect
43. #3511C22semidirect
44. #3511C22semidirect
45. #3511C22semidirect
46. #3508C22semidirect
47. #3508C22semidirect
48. #3503C22semidirect
49. #3498C22semidirect
57. C2×#556C22semidirect
63. C2×#548C22semidirect
64. C2×#547C22semidirect
71. C2×#533C22semidirect
74. C2×#532C22semidirect
75. C2×#532C22semidirect
76. C22×C4⋊Q8C22semidirect
80. #3402C22semidirect
81. #3401C22semidirect
82. #3398C22semidirect
83. #3397C22semidirect
84. #3394C22semidirect
85. #3393C22semidirect
86. #3285C22semidirect
87. #3284C22semidirect
88. #3283C22semidirect
89. #3282C22semidirect
90. #3277C22semidirect
91. #3276C22semidirect
92. #3275C22semidirect
93. #3272C22semidirect
94. #3271C22semidirect
95. #3270C22semidirect
96. #3269C22semidirect
97. #3269C22semidirect
98. #3267C22semidirect
99. #3265C22semidirect
100. #3219C22semidirect
101. #3219C22semidirect
102. #3218C22semidirect
103. #3218C22semidirect
104. #3216C22semidirect
105. #3215C22semidirect
106. #3214C22semidirect
107. #3213C22semidirect
108. #3210C22semidirect
109. #3210C22semidirect
110. #3210C22semidirect
111. #3210C22semidirect
112. #3209C22semidirect
113. #3209C22semidirect
114. #3209C22semidirect
115. #3208C22semidirect
116. #3207C22semidirect
117. #3207C22semidirect
118. #3207C22semidirect
119. #3206C22semidirect
120. #3206C22semidirect
121. #3206C22semidirect
122. #3205C22semidirect
123. #3185C22semidirect
124. #3184C22semidirect
125. #3182C22semidirect
126. #3182C22semidirect
127. #3181C22semidirect
128. #3180C22semidirect
129. #3172C22semidirect
130. #3171C22semidirect
131. #3170C22semidirect
132. #3169C22semidirect
133. #3167C22semidirect
134. #3167C22semidirect
135. #3165C22semidirect
136. #3153C22semidirect
137. #3153C22semidirect
138. #3152C22semidirect
139. #3152C22semidirect
140. #3152C22semidirect
141. #3152C22semidirect
142. #3152C22semidirect
143. #3152C22semidirect
144. #3152C22semidirect
145. #3151C22semidirect
146. #3151C22semidirect
147. #3151C22semidirect
148. #3150C22semidirect
149. C2×#497C22semidirect
150. #3147C22semidirect
151. #3147C22semidirect
152. C2×#494C22semidirect
153. C2×#492C22semidirect
154. #3141C22semidirect
155. #3141C22semidirect
156. #3139C22semidirect
157. #3138C22semidirect
158. #3056C22semidirect
159. #3055C22semidirect
160. #3040C22semidirect
161. #3039C22semidirect
162. #3037C22semidirect
163. #3036C22semidirect
164. #3007C22semidirect
165. #3006C22semidirect
166. #3005C22semidirect
167. #3004C22semidirect
168. #2971C22semidirect
169. #2970C22semidirect
170. #2970C22semidirect
171. #2965C22semidirect
172. #2965C22semidirect
173. C8×#41C22semidirect
174. Q8×M16C22semidirect
175. C4×#137C22semidirect
176. C4×AGL(1,ℤ/8)C22semidirect
177. D4×M16C22semidirect
178. D4×M16C22semidirect
179. #2920C22semidirect
180. #2920C22semidirect
181. C2×C4×M16C22semidirect
182. C2×C4×M16C22semidirect
1414. M16H(5,𝔽2)semidirect
1684. C2×C4#575semidirect

Maximal subgroups

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

subgroupindex
#628002
C2×#35112
#624562
#624522
#624502
#624272
#624252
#624242
#624212
#624182
#624142
#614032
#610682
#610672
#608042
#608032
#608012
#608002
#607012
#607002
#606392
C2×#31522
M16×#412