Finite Group Databasebeta

← #10574598

Subgroups — #10574598

Order 512.

6142 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62686C211yesmaximal, characteristic
2#60344C214yesmaximal, complemented
3#60340C214yesmaximal, complemented
4#60336C214yesmaximal, complemented
5#60326C214yesmaximal, complemented
6#60322C214yesmaximal, complemented
7#60319C214yesmaximal, complemented
8#60316C214yesmaximal, complemented
9#60313C214yesmaximal, complemented
10#60281C214yesmaximal, complemented
11#60280C212yesmaximal, complemented
12#60279C211yesmaximal, characteristic, complemented
13#60279C211yesmaximal, characteristic, complemented
14#60279C214yesmaximal, complemented
15#60278C212yesmaximal, complemented
16#60277C211yesmaximal, characteristic, complemented
17M16×#41C212yesmaximal, complemented
18#60210C212yesmaximal, complemented
19#60210C214yesmaximal, complemented
20#60205C214yesmaximal, complemented
21#60204C211yesmaximal, characteristic, complemented
22#60204C211yesmaximal, characteristic, complemented
23C2×#2965C211yesmaximal, characteristic, complemented
24#3461C412yes—
25#3461C412yes—
26#3461C412yes—
27#3461C2212yes—
28#3461C2212yes—
29#3461C2212yes—
30#3460C412yes—
31#3460C412yes—
32#3460C412yes—
33#3460C2212yes—
34#3460C2212yes—
35#3460C2212yes—
36#3459C412yes—
37#3459C412yes—
38#3459C2212yes—
39#3459C2212yes—
40#3458C411yescharacteristic
41#3455C412yes—
42#3455C411yescharacteristic
43#3455C411yescharacteristic
44#3455C414yes—
45#3455C414yes—
46#3449C411yescharacteristic
47#3449C412yes—
48#3444C2211yescharacteristic
49#3444C2211yescharacteristic
50#3444C2214yes—
51#3444C2212yes—
52#3444C2214yes—
53C2×C4×#41C2211yescharacteristic
54C2×C4×#41C2212yes—
55#2995C2218yescomplemented
56#2995C2218yescomplemented
57#2995C2218yescomplemented
58#2995C2218yescomplemented
59#2994C2218yescomplemented
60#2994C2214yescomplemented
61#2994C2214yescomplemented
62#2993C2218yescomplemented
63#2993C2214yescomplemented
64#2993C2218yescomplemented
65#2993C2214yescomplemented
66#2992C2218yescomplemented
67#2992C2214yescomplemented
68#2992C2214yescomplemented
69#2992C2218yescomplemented
70#2991C2214yescomplemented
71#2990C2218yescomplemented
72#2990C2214yescomplemented
73#2989C2214yescomplemented
74#2989C2214yescomplemented
75#2987C2218yescomplemented
76#2986C2214yescomplemented
77#2985C2212yescomplemented
78#2985C2218yescomplemented
79#2985C2212yescomplemented
80#2984C2214yescomplemented
81#2983C2212yescomplemented
82#2981C2218yescomplemented
83#2981C2212yescomplemented
84#2981C2212yescomplemented
85#2980C2218yescomplemented
86#2979C2214yescomplemented
87#2978C2218yescomplemented
88#2978C2218yescomplemented
89#2977C2218yescomplemented
90#2976C2214yescomplemented
91#2976C2214yescomplemented
92#2976C2218yescomplemented
93#2976C2218yescomplemented
94#2975C2212yes—
95#2974C2218yes—
96#2974C2214yescomplemented
97#2973C2212yes—
98#2973C2212yescomplemented
99#2971C2214yescomplemented
100#2970C2218yescomplemented
101#2970C2214yescomplemented
102#2969C2218yescomplemented
103#2969C2214yescomplemented
104#2969C2218yescomplemented
105#2969C2214yescomplemented
106#2968C2218yescomplemented
107#2968C2218yescomplemented
108#2968C2218yescomplemented
109#2967C2218yescomplemented
110#2967C2218yescomplemented
111#2967C2218yescomplemented
112#2967C2218yescomplemented
113#2966C2214yescomplemented
114#2966C2214yescomplemented
115#2966C2214yescomplemented
116#2966C2214yescomplemented
117#2965C2212yescomplemented
118#2965C2212yescomplemented
119#2965C2212yescomplemented
120#2965C2212yescomplemented
121#2965C2214yescomplemented
122#2965C2214yescomplemented
123#2965C2212yescomplemented
124#2965C2212yescomplemented
125#2965C2212yescomplemented
126#2965C2212yescomplemented
127#2965C2214yescomplemented
128#2965C2214yescomplemented
129#2965C2214yescomplemented
130#2965C2214yescomplemented
131#2965C2214yescomplemented
132#2965C2214yescomplemented
133#2965C2214yescomplemented
134#2965C2212yescomplemented
135#2965C2214yescomplemented
136#2965C2214yescomplemented
137#2965C2214yescomplemented
138#2965C2212yescomplemented
139#2965C2214yescomplemented
140C8×#41C2212yescomplemented
141C8×#41C2212yescomplemented
142C8×#41C2212yescomplemented
143C8×#41C2212yescomplemented
144C8×#41C2212yescomplemented
145C8×#41C2214yescomplemented
146C8×#41C2212yescomplemented
147Q8×M16C2214yescomplemented
148#2962C2218yescomplemented
149#2962C2214yescomplemented
150#2961C2218yescomplemented
151#2960C2212yescomplemented
152#2960C2212yescomplemented
153C2×#446C2212yescomplemented
154#2935C2218yescomplemented
155#2935C2214yescomplemented
156D4×M16C2218yes—
157D4×M16C2214yescomplemented
158#2933C2218yescomplemented
159#2933C2218yescomplemented
160#2933C2218yescomplemented
161#2932C2218yescomplemented
162#2931C2212yescomplemented
163#2931C2212yescomplemented
164#2930C2218yescomplemented
165#2930C2218yescomplemented
166#2929C2214yescomplemented
167#2929C2214yescomplemented
168C2×#436C2212yes—
169C2×#435C2212yes—
170C2×#435C2212yescomplemented
171#2922C2212yescomplemented
172#2922C2212yescomplemented
173#2922C2214yescomplemented
174#2922C2214yescomplemented
175#2922C2214yescomplemented
176#2922C2214yescomplemented
177#2922C2214yescomplemented
178#2920C2212yes—
179#2920C2211yescharacteristic, complemented
180#2920C2211yescharacteristic, complemented
181#2920C2214yescomplemented
182#2920C2214yescomplemented
183C2×#431C2211yescharacteristic
184C2×#431C2211yescharacteristic, complemented
185C2×#431C2211yescharacteristic, complemented
186C2×#431C2212yescomplemented
187C2×#431C2214yescomplemented
188C4×#131C2212yescomplemented
189C4×#131C2212yescomplemented
190C4×#131C2214yescomplemented
191C2×C4×M16C2211yescharacteristic
192C2×C4×M16C2211yescharacteristic, complemented
193C2×C4×M16C2214yescomplemented
194C22×C4×C8C2211yescharacteristic, complemented
195C22×#41C2×C411yescharacteristic
196C22×#41C2×C412yes—
197C2×#131C2314yes—
198C2×#131C2314yes—
199C2×#131C2318yes—
200C22×M16C2312yes—
201C22×M16C2312yes—
202C22×M16C2318yes—
203C23×C8C2312yes—
204#544C2×C412yes—
205#544C2×C412yes—
206#544C2×C412yes—
207#544C2×C412yes—
208#544C2×C412yes—
209#544C2×C412yes—
210#543C2×C412yes—
211#543C2×C412yes—
212#542C2×C412yes—
213#542C2×C412yes—
214#542C2×C414yes—
215#542C2×C414yes—
216#542C2×C414yes—
217#542C2×C412yes—
218#542C2×C412yes—
219#542C2×C414yes—
220#542C2×C414yes—
221#542C2×C414yes—
222#542C2×C412yes—
223#542C2×C412yes—
224#542C2×C414yes—
225#542C2×C412yes—
226#542C2×C412yes—
227#542C2×C414yes—
228#541C2×C412yes—
229#541C2×C412yes—
230#541C2×C414yes—
231#541C2×C414yes—
232#541C2×C414yes—
233#541C2×C412yes—
234#541C2×C412yes—
235#541C2×C414yes—
236#540C2×C414yes—
237#540C2×C414yes—
238#540C2×C412yes—
239#540C2×C412yes—
240#540C2×C414yes—
241#540C2×C412yes—
242#540C2×C412yes—
243#540C2×C414yes—
244#539C2×C414yes—
245#539C2×C414yes—
246#539C2×C412yes—
247#539C2×C412yes—
248#539C2×C414yes—
249#539C2×C414yes—
250#539C2×C414yes—
251#539C2×C412yes—
252#539C2×C412yes—
253#539C2×C414yes—
254#539C2×C414yes—
255#539C2×C414yes—
256#539C2×C414yes—
257#539C2×C414yes—
258#538C2×C414yes—
259#538C2×C412yes—
260#538C2×C412yes—
261#538C2×C414yes—
262#538C2×C414yes—
263#538C2×C414yes—
264#538C2×C414yes—
265#538C2×C414yes—
266#538C2×C414yes—
267#538C2×C414yes—
268#538C2×C412yes—
269#538C2×C412yes—
270#538C2×C414yes—
271#538C2×C414yes—
272#537C2×C412yes—
273#537C2×C412yes—
274#537C2×C412yes—
275#537C2×C412yes—
276#537C2×C412yes—
277#537C2×C412yes—
278#536C2×C412yes—
279#536C2×C412yes—
280#536C2×C414yes—
281#536C2×C412yes—
282#536C2×C412yes—
283#535C2×C414yes—
284#535C2×C412yes—
285#535C2×C412yes—
286#535C2×C412yes—
287#535C2×C412yes—
288#534C2×C412yes—
289#534C2×C414yes—
290#534C2×C412yes—
291#534C2×C414yes—
292#533C2×C411yescharacteristic
293#533C2×C411yescharacteristic
294#533C2×C414yes—
295#533C2×C412yes—
296#533C2×C414yes—
297#533C2×C411yescharacteristic
298#533C2×C411yescharacteristic
299#533C2×C414yes—
300#533C2×C412yes—
301#533C2×C414yes—
302#533C2311yescharacteristic
303#533C2311yescharacteristic
304#533C2314yes—
305#533C2312yes—
306#533C2314yes—
307#532C2×C411yescharacteristic
308#532C2×C411yescharacteristic
309#532C2×C412yes—
310#532C2×C414yes—
311#532C2×C414yes—
312#532C2×C411yescharacteristic
313#532C2×C411yescharacteristic
314#532C2×C414yes—
315#532C2×C412yes—
316#532C2×C414yes—
317#532C2311yescharacteristic
318#532C2311yescharacteristic
319#532C2314yes—
320#532C2312yes—
321#532C2314yes—
322#529C2×C412yes—
323#529C2×C412yes—
324#529C2×C414yes—
325#529C2×C414yes—
326#529C2×C414yes—
327#529C2×C414yes—
328#529C2×C414yes—
329#529C2×C412yes—
330#529C2×C412yes—
331#529C2×C414yes—
332#529C2×C414yes—
333#529C2×C414yes—
334#529C2×C414yes—
335#529C2×C414yes—
336#529C2×C412yes—
337#529C2×C412yes—
338#529C2×C414yes—
339#529C2×C414yes—
340#529C2×C414yes—
341#529C2×C414yes—
342#529C2×C414yes—
343#529C2×C412yes—
344#529C2×C412yes—
345#529C2×C414yes—
346#529C2×C414yes—
347#529C2×C412yes—
348#529C2×C412yes—
349#529C2×C414yes—
350#529C2×C414yes—
351#529C2312yes—
352#529C2312yes—
353#529C2314yes—
354#529C2314yes—
355#529C2314yes—
356#529C2314yes—
357#529C2314yes—
358#529C2312yes—
359#529C2312yes—
360#529C2314yes—
361#529C2314yes—
362#529C2314yes—
363#529C2314yes—
364#529C2312yes—
365#529C2312yes—
366#525C2×C412yes—
367#525C2×C412yes—
368#525C2×C412yes—
369#525C2×C412yes—
370#525C2×C414yes—
371#525C2×C414yes—
372#525C2×C414yes—
373#525C2×C414yes—
374#525C2×C412yes—
375#525C2×C412yes—
376#525C2×C414yes—
377#525C2×C414yes—
378#525C2×C414yes—
379#525C2×C414yes—
380#525C2×C414yes—
381#525C2312yes—
382#525C2312yes—
383#525C2314yes—
384#525C2314yes—
385#525C2314yes—
386#525C2314yes—
387#525C2314yes—
388C4×#41C2×C412yes—
389C4×#41C2×C412yes—
390C4×#41C2×C412yes—
391C4×#41C2×C412yes—
392C4×#41C2×C414yes—
393C4×#41C2×C412yes—
394C4×#41C2×C412yes—
395C4×#41C2×C414yes—
396C4×#41C2×C412yes—
397C4×#41C2×C412yes—
398C4×#41C2312yes—
399C4×#41C2312yes—
400C4×#41C2312yes—
401C4×#41C2312yes—
402C4×#41C2314yes—
403C4×#41C2312yes—
404C4×#41C2312yes—
405C4×#41C2314yes—
406C4×#41C2312yes—
407C4×#41C2312yes—
408C4×#41C2312yes—
409C4×#41C2312yes—
410C4×#41C2314yes—
411C4×#41C2312yes—
412C4×#41C2312yes—
413C4×#41C2314yes—
414C2×C4×Q8C2×C411yescharacteristic
415C2×C4×Q8C2×C412yes—
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2312yes—
418C2×C4×D4C2×C411yescharacteristic
419C2×C4×D4C2×C411yescharacteristic
420C2×C4×D4C2×C414yes—
421C2×C4×D4C2×C411yescharacteristic
422C2×C4×D4C2×C412yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×#117C2×C411yescharacteristic
429C2×#117C2×C412yes—
430C2×#117C2×C411yescharacteristic
431C2×#117C2×C411yescharacteristic
432C2×#117C2×C414yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2314yes—
437#446C2314yes—
438#446C2314yes—
439#446C2314yes—
440#446C2314yes—
441#446C2314yes—
442#446C2314yes—
443#446C2314yes—
444#446C2314yes—
445#446C2318yes—
446#446C2318yes—
447#446C2318yes—
448#446C2318yes—
449#446C2318yes—
450#446C2318yes—
451#446C2318yes—
452#446C2318yes—
453#446C2318yes—
454#446C2314yes—
455#446C2318yes—
456#446C2314yes—
457#446C2318yes—
458C8×Q8C2314yes—
459C8×Q8C2314yes—
460C8×Q8C2314yes—
461C8×Q8C2314yes—
462C8×Q8C2314yes—
463C8×Q8C2318yes—
464C8×Q8C2314yes—
465#436C2314yes—
466#436C2314yes—
467#436C2314yes—
468#436C2314yes—
469#436C2314yes—
470#436C2318yes—
471#436C2318yes—
472#436C2318yes—
473#436C2318yes—
474#436C2318yes—
475#436C2318yes—
476#436C2314yes—
477#436C2314yes—
478#436C2314yes—
479#436C2318yes—
480#436C2318yes—
481#436C2318yes—
482#436C2318yes—
483#436C2314yes—
484#436C2314yes—
485#436C2318yes—
486#435C2314yes—
487#435C2314yes—
488#435C2314yes—
489#435C2314yes—
490#435C2314yes—
491#435C2314yes—
492#435C2314yes—
493#435C2314yes—
494#435C2318yes—
495#435C2318yes—
496#435C2318yes—
497#435C2318yes—
498#435C2318yes—
499#435C2318yes—
500#435C2318yes—
501#435C2318yes—
502#435C2318yes—
503#435C2318yes—
504#435C2318yes—
505#435C2318yes—
506#435C2318yes—
507#435C2318yes—
508#435C2318yes—
509#435C2318yes—
510#435C2318yes—
511#435C2318yes—
512#435C2318yes—
513#435C2318yes—
514#435C2318yes—
515#435C2318yes—
516#435C2318yes—
517#435C2318yes—
518#435C2318yes—
519#435C2318yes—
520#435C2318yes—
521#435C2318yes—
522C8×D4C2318yes—
523C8×D4C2318yes—
524C8×D4C2318yes—
525C8×D4C2318yes—
526C8×D4C2314yes—
527C8×D4C2314yes—
528C8×D4C2314yes—
529C8×D4C2314yes—
530C8×D4C2318yes—
531C8×D4C2318yes—
532C8×D4C2318yes—
533C8×D4C2318yes—
534C8×D4C2314yes—
535C8×D4C2314yes—
536C8×D4C2318yes—
537#433C2318yes—
538#433C2318yes—
539#433C2318yes—
540#433C2318yes—
541#433C2318yes—
542#433C2318yes—
543#433C2318yes—
544#433C2318yes—
545#433C2318yes—
546#433C2318yes—
547#433C2318yes—
548#433C2318yes—
549#432C2314yes—
550#432C2314yes—
551#432C2312yes—
552#432C2312yes—
553#432C2312yes—
554#432C2312yes—
555#432C2318yes—
556#432C2318yes—
557#432C2318yes—
558#432C2318yes—
559#431C2312yes—
560#431C2312yes—
561#431C2314yes—
562#431C2312yes—
563#431C2312yes—
564#431C2314yes—
565#431C2312yes—
566#431C2314yes—
567#431C2312yes—
568#431C2312yes—
569#431C2312yes—
570#431C2314yes—
571#431C2314yes—
572#431C2314yes—
573#431C2312yes—
574#431C2312yes—
575#431C2314yes—
576#431C2318yes—
577#431C2318yes—
578#431C2314yes—
579#431C2312yes—
580#431C2312yes—
581#431C2314yes—
582#431C2314yes—
583#431C2314yes—
584#431C2314yes—
585#431C2314yes—
586#431C2314yes—
587#424C2314yes—
588#424C2314yes—
589#424C2318yes—
590#424C2318yes—
591#424C2318yes—
592#424C2318yes—
593#424C2318yes—
594#423C2314yes—
595#423C2312yes—
596#423C2312yes—
597#423C2318yes—
598#423C2318yes—
599C2×C4⋊C8C2312yes—
600C2×C4⋊C8C2312yes—
601C2×C4⋊C8C2312yes—
602C2×C4⋊C8C2314yes—
603C2×C4⋊C8C2318yes—
604#408C2314yes—
605#408C2314yes—
606#408C2318yes—
607#408C2318yes—
608#408C2318yes—
609#408C2318yes—
610#408C2318yes—
611#407C2314yes—
612#407C2312yes—
613#407C2312yes—
614#407C2318yes—
615#407C2318yes—
616C2×C22⋊C8C2312yes—
617C2×C22⋊C8C2312yes—
618C2×C22⋊C8C2312yes—
619C2×C22⋊C8C2314yes—
620C2×C22⋊C8C2318yes—
621#405C2314yes—
622#405C2314yes—
623#405C2318yes—
624#405C2318yes—
625#405C2318yes—
626#405C2318yes—
627#405C2318yes—
628C4×M16C2312yes—
629C4×M16C2312yes—
630C4×M16C2314yes—
631C4×M16C2312yes—
632C4×M16C2314yes—
633C4×M16C2314yes—
634C4×M16C2312yes—
635C4×M16C2314yes—
636C4×M16C2318yes—
637C4×M16C2314yes—
638C4×M16C2318yes—
639C4×M16C2312yes—
640C4×M16C2314yes—
641C4×M16C2312yes—
642C4×M16C2314yes—
643C2×#97C2312yes—
644C2×#97C2312yes—
645C2×#97C2318yes—
646C2×C4×C8C2311yescharacteristic
647C2×C4×C8C2311yescharacteristic
648C2×C4×C8C2311yescharacteristic
649C2×C4×C8C2311yescharacteristic
650C2×C4×C8C2311yescharacteristic
651C2×C4×C8C2311yescharacteristic
652C2×C4×C8C2312yes—
653C2×C4×C8C2312yes—
654C2×C4×C8C2312yes—
655C2×C4×C8C2311yescharacteristic
656C2×C4×C8C2314yes—
657C2×C4×C8C2311yescharacteristic
658C2×C4×C8C2314yes—
659C2×C4×C8C2314yes—
660C2×C4×C8C2314yes—
661C2×C4×C8C2314yes—
662C2×#41—44no—
663C2×#41—48no—
664C2×#41C22×C412yes—
665C2×#41C22×C412yes—
666C2×#41C22×C412yes—
667C2×#41C22×C412yes—
668C2×#41C22×C414yes—
669C2×#41C22×C412yes—
670C2×#41C22×C412yes—
671C2×#41C22×C414yes—
672C2×#41C22×C412yes—
673C2×#41C22×C412yes—
674C2×#41C22×C412yes—
675C2×#41C22×C412yes—
676C2×#41C22×C414yes—
677C2×#41C2412yes—
678C2×#41C2412yes—
679C2×#41C2414yes—
680C22×Q8C22×C411yescharacteristic
681C22×Q8C22×C412yes—
682C22×D4C22×C411yescharacteristic
683C22×D4C22×C411yescharacteristic
684C22×D4C22×C414yes—
685C22×D4C22×C412yes—
686C22×D4C22×C411yescharacteristic
687C23×C4C22×C411yescharacteristic
688C23×C4C22×C411yescharacteristic
689C23×C4C22×C411yescharacteristic
690C23×C4C22×C414yes—
691C23×C4C22×C411yescharacteristic
692C23×C4C22×C411yescharacteristic
693C23×C4C22×C411yescharacteristic
694C23×C4C22×C414yes—
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2414yes—
699#131—48no—
700#131—48no—
701#131—416no—
702C2×M16—44no—
703C2×M16—44no—
704C2×M16—416no—
705C2×M16C2414yes—
706C2×M16C2414yes—
707C2×M16C2418yes—
708C2×M16C2414yes—
709C2×M16C2418yes—
710C2×M16C2414yes—
711C2×M16C2418yes—
712C2×M16C2414yes—
713C2×M16C2418yes—
714C2×M16C2414yes—
715C2×M16C2418yes—
716C22×C8—44no—
717C22×C8C2412yes—
718C22×C8C2412yes—
719C22×C8C2412yes—
720C22×C8C2418yes—
721C22×C8C2412yes—
722C22×C8C2412yes—
723C22×C8C2412yes—
724C22×C8C2412yes—
725C22×C8C2412yes—
726C22×C8C2418yes—
727C22×C8C2418yes—
728C22×C8C2418yes—
729C22×C8C2418yes—
730C4⋊Q8C22×C411yescharacteristic
731C4⋊Q8C22×C411yescharacteristic
732C4⋊Q8C22×C412yes—
733C4⋊Q8C22×C414yes—
734C4⋊Q8C22×C414yes—
735C4⋊Q8C22×C411yescharacteristic
736C4⋊Q8C22×C411yescharacteristic
737C4⋊Q8C22×C414yes—
738C4⋊Q8C22×C412yes—
739C4⋊Q8C22×C414yes—
740C4⋊Q8C22×C411yescharacteristic
741C4⋊Q8C22×C411yescharacteristic
742C4⋊Q8C22×C414yes—
743C4⋊Q8C22×C412yes—
744C4⋊Q8C22×C414yes—
745#127C22×C411yescharacteristic
746#127C22×C411yescharacteristic
747#127C22×C412yes—
748#127C22×C414yes—
749#127C22×C414yes—
750#126C22×C414yes—
751#126C22×C414yes—
752#126C22×C414yes—
753#126C22×C414yes—
754#126C22×C414yes—
755#126C22×C414yes—
756#126C22×C414yes—
757#126C22×C414yes—
758#126C22×C414yes—
759#126C22×C414yes—
760#126C22×C414yes—
761#126C22×C414yes—
762#126C22×C414yes—
763#126C22×C414yes—
764#126C22×C414yes—
765#126C22×C414yes—
766#126C22×C414yes—
767#126C22×C414yes—
768#126C22×C414yes—
769#126C22×C414yes—
770#126C22×C414yes—
771#126C22×C414yes—
772#126C22×C414yes—
773#126C22×C414yes—
774#125C22×C412yes—
775#125C22×C412yes—
776#125C22×C414yes—
777#125C22×C414yes—
778#125C22×C414yes—
779#125C22×C414yes—
780#125C22×C414yes—
781#125C22×C412yes—
782#125C22×C412yes—
783#125C22×C414yes—
784#125C22×C414yes—
785#125C22×C414yes—
786#125C22×C414yes—
787#125C22×C414yes—
788#125C22×C412yes—
789#125C22×C412yes—
790#125C22×C414yes—
791#125C22×C414yes—
792#125C22×C414yes—
793#125C22×C414yes—
794#125C22×C412yes—
795#125C22×C412yes—
796#124C22×C412yes—
797#124C22×C412yes—
798#124C22×C414yes—
799#124C22×C414yes—
800#124C22×C414yes—
801#124C22×C414yes—
802#124C22×C414yes—
803#124C22×C412yes—
804#124C22×C412yes—
805#124C22×C412yes—
806#124C22×C412yes—
807#124C22×C414yes—
808#124C22×C414yes—
809#124C22×C414yes—
810#124C22×C414yes—
811#124C22×C412yes—
812#124C22×C412yes—
813#124C22×C414yes—
814#124C22×C414yes—
815#124C22×C414yes—
816#124C22×C414yes—
817#124C22×C414yes—
818#123C22×C414yes—
819#123C22×C414yes—
820#123C22×C414yes—
821#123C22×C414yes—
822#123C22×C414yes—
823#123C22×C414yes—
824#123C22×C414yes—
825#123C22×C414yes—
826#123C22×C414yes—
827#123C22×C414yes—
828#123C22×C414yes—
829#123C22×C414yes—
830#123C22×C414yes—
831#123C22×C414yes—
832#123C22×C414yes—
833#123C22×C414yes—
834#123C22×C414yes—
835#123C22×C414yes—
836#123C22×C414yes—
837#123C22×C414yes—
838#123C22×C414yes—
839#123C22×C414yes—
840#123C22×C414yes—
841#123C22×C414yes—
842#123C22×C414yes—
843#123C22×C414yes—
844#123C22×C414yes—
845#123C22×C414yes—
846#123C22×C414yes—
847#123C22×C414yes—
848#123C22×C414yes—
849#123C22×C414yes—
850#123C22×C414yes—
851#123C22×C414yes—
852#123C22×C414yes—
853#123C22×C414yes—
854C22⋊Q8C22×C412yes—
855C22⋊Q8C22×C412yes—
856C22⋊Q8C22×C412yes—
857C22⋊Q8C22×C412yes—
858C22⋊Q8C22×C414yes—
859C22⋊Q8C22×C414yes—
860C22⋊Q8C22×C414yes—
861C22⋊Q8C22×C414yes—
862C22⋊Q8C22×C412yes—
863C22⋊Q8C22×C412yes—
864C22⋊Q8C22×C414yes—
865C22⋊Q8C22×C414yes—
866C22⋊Q8C22×C414yes—
867C22⋊Q8C22×C414yes—
868C22⋊Q8C22×C414yes—
869C22⋊Q8C22×C412yes—
870C22⋊Q8C22×C412yes—
871C22⋊Q8C22×C412yes—
872C22⋊Q8C22×C412yes—
873C22⋊Q8C22×C414yes—
874C22⋊Q8C22×C414yes—
875C22⋊Q8C22×C414yes—
876C22⋊Q8C22×C414yes—
877C22⋊Q8C22×C412yes—
878C22⋊Q8C22×C412yes—
879C22⋊Q8C22×C414yes—
880C22⋊Q8C22×C414yes—
881C22⋊Q8C22×C414yes—
882C22⋊Q8C22×C414yes—
883C22⋊Q8C22×C414yes—
884C22⋊Q8C22×C412yes—
885C22⋊Q8C22×C412yes—
886C22⋊Q8C22×C414yes—
887C22⋊Q8C22×C414yes—
888C22⋊Q8C22×C414yes—
889C22⋊Q8C22×C414yes—
890C22⋊Q8C22×C414yes—
891C22⋊Q8C22×C412yes—
892C22⋊Q8C22×C412yes—
893C22⋊Q8C22×C414yes—
894C22⋊Q8C22×C414yes—
895C22⋊Q8C22×C414yes—
896C22⋊Q8C22×C414yes—
897C22⋊Q8C22×C414yes—
898#121C22×C412yes—
899#121C22×C412yes—
900#121C22×C412yes—
901#121C22×C412yes—
902#121C22×C414yes—
903#121C22×C414yes—
904#121C22×C414yes—
905#121C22×C414yes—
906#121C22×C412yes—
907#121C22×C412yes—
908#121C22×C414yes—
909#121C22×C414yes—
910#121C22×C414yes—
911#121C22×C414yes—
912#121C22×C414yes—
913#121C22×C412yes—
914#121C22×C412yes—
915#121C22×C414yes—
916#121C22×C414yes—
917#121C22×C414yes—
918#121C22×C414yes—
919#121C22×C414yes—
920#121C22×C412yes—
921#121C22×C412yes—
922#121C22×C412yes—
923#121C22×C412yes—
924#121C22×C414yes—
925#121C22×C414yes—
926#121C22×C414yes—
927#121C22×C414yes—
928#121C22×C412yes—
929#121C22×C412yes—
930#121C22×C414yes—
931#121C22×C414yes—
932#121C22×C414yes—
933#121C22×C414yes—
934#121C22×C414yes—
935#121C22×C412yes—
936#121C22×C412yes—
937#121C22×C414yes—
938#121C22×C414yes—
939#121C22×C414yes—
940#121C22×C414yes—
941#121C22×C414yes—
942#120C22×C414yes—
943#120C22×C414yes—
944#120C22×C414yes—
945#120C22×C414yes—
946#120C22×C414yes—
947#120C22×C414yes—
948#120C22×C414yes—
949#120C22×C414yes—
950#120C22×C414yes—
951#120C22×C414yes—
952#120C22×C414yes—
953#120C22×C414yes—
954C4×Q8C22×C412yes—
955C4×Q8C22×C412yes—
956C4×Q8C22×C412yes—
957C4×Q8C22×C412yes—
958C4×Q8C22×C414yes—
959C4×Q8C22×C412yes—
960C4×Q8C22×C412yes—
961C4×Q8C22×C412yes—
962C4×Q8C22×C412yes—
963C4×Q8C22×C414yes—
964C4×Q8C22×C412yes—
965C4×Q8C22×C412yes—
966C4×Q8C22×C412yes—
967C4×Q8C22×C412yes—
968C4×Q8C22×C414yes—
969C4×Q8C22×C412yes—
970C4×Q8C22×C412yes—
971C4×Q8C22×C414yes—
972C4×Q8C22×C412yes—
973C4×Q8C22×C412yes—
974C4×Q8C22×C414yes—
975C4×Q8C22×C412yes—
976C4×Q8C22×C412yes—
977C4×Q8C22×C414yes—
978C4×Q8C2412yes—
979C4×Q8C2412yes—
980C4×Q8C2412yes—
981C4×Q8C2412yes—
982C4×Q8C2414yes—
983C4×Q8C2412yes—
984C4×Q8C2412yes—
985C4×Q8C2414yes—
986C4×D4C22×C414yes—
987C4×D4C22×C414yes—
988C4×D4C22×C412yes—
989C4×D4C22×C412yes—
990C4×D4C22×C412yes—
991C4×D4C22×C412yes—
992C4×D4C22×C414yes—
993C4×D4C22×C414yes—
994C4×D4C22×C412yes—
995C4×D4C22×C412yes—
996C4×D4C22×C412yes—
997C4×D4C22×C412yes—
998C4×D4C22×C414yes—
999C4×D4C22×C414yes—
1000C4×D4C22×C414yes—
1001C4×D4C22×C412yes—
1002C4×D4C22×C412yes—
1003C4×D4C22×C412yes—
1004C4×D4C22×C412yes—
1005C4×D4C22×C414yes—
1006C4×D4C22×C414yes—
1007C4×D4C22×C412yes—
1008C4×D4C22×C412yes—
1009C4×D4C22×C412yes—
1010C4×D4C22×C412yes—
1011C4×D4C22×C414yes—
1012C4×D4C22×C414yes—
1013C4×D4C22×C414yes—
1014C4×D4C22×C412yes—
1015C4×D4C22×C412yes—
1016C4×D4C22×C412yes—
1017C4×D4C22×C412yes—
1018C4×D4C22×C414yes—
1019C4×D4C22×C414yes—
1020C4×D4C22×C412yes—
1021C4×D4C22×C412yes—
1022C4×D4C22×C412yes—
1023C4×D4C22×C412yes—
1024C4×D4C22×C414yes—
1025C4×D4C22×C414yes—
1026C4×D4C22×C414yes—
1027C4×D4C22×C414yes—
1028C4×D4C22×C414yes—
1029C4×D4C22×C412yes—
1030C4×D4C22×C412yes—
1031C4×D4C22×C414yes—
1032C4×D4C22×C414yes—
1033C4×D4C22×C414yes—
1034C4×D4C22×C414yes—
1035C4×D4C22×C414yes—
1036C4×D4C22×C412yes—
1037C4×D4C22×C412yes—
1038C4×D4C22×C414yes—
1039C4×D4C22×C414yes—
1040C4×D4C22×C412yes—
1041C4×D4C22×C414yes—
1042C4×D4C22×C412yes—
1043C4×D4C22×C414yes—
1044C4×D4C22×C414yes—
1045C4×D4C22×C414yes—
1046C4×D4C2414yes—
1047C4×D4C2414yes—
1048C4×D4C2412yes—
1049C4×D4C2412yes—
1050C4×D4C2412yes—
1051C4×D4C2412yes—
1052C4×D4C2414yes—
1053C4×D4C2414yes—
1054C4×D4C2412yes—
1055C4×D4C2412yes—
1056C4×D4C2412yes—
1057C4×D4C2412yes—
1058C4×D4C2414yes—
1059C4×D4C2414yes—
1060C4×D4C2414yes—
1061C4×D4C2412yes—
1062C4×D4C2414yes—
1063C4×D4C2414yes—
1064C4×D4C2414yes—
1065C4×D4C2412yes—
1066#117C22×C412yes—
1067#117C22×C412yes—
1068#117C22×C414yes—
1069#117C22×C412yes—
1070#117C22×C412yes—
1071#117C22×C414yes—
1072#117C22×C414yes—
1073#117C22×C412yes—
1074#117C22×C412yes—
1075#117C22×C412yes—
1076#117C22×C412yes—
1077#117C22×C414yes—
1078#117C22×C414yes—
1079#117C22×C412yes—
1080#117C22×C412yes—
1081#117C22×C414yes—
1082#117C22×C412yes—
1083#117C22×C412yes—
1084#117C22×C412yes—
1085#117C22×C412yes—
1086#117C22×C412yes—
1087#117C22×C412yes—
1088#117C22×C414yes—
1089#117C22×C414yes—
1090#117C22×C414yes—
1091#117C22×C414yes—
1092#117C22×C412yes—
1093#117C22×C414yes—
1094#117C22×C412yes—
1095#117C22×C414yes—
1096#117C22×C414yes—
1097#117C22×C414yes—
1098#117C22×C414yes—
1099#117C2412yes—
1100#117C2412yes—
1101#117C2414yes—
1102#117C2414yes—
1103#117C2414yes—
1104#117C2414yes—
1105#117C2414yes—
1106C2×C4⋊C4C22×C411yescharacteristic
1107C2×C4⋊C4C22×C412yes—
1108C2×C4⋊C4C22×C411yescharacteristic
1109C2×C4⋊C4C22×C411yescharacteristic
1110C2×C4⋊C4C22×C414yes—
1111C2×C4⋊C4C22×C411yescharacteristic
1112C2×C4⋊C4C22×C412yes—
1113C2×C4⋊C4C22×C411yescharacteristic
1114C2×C4⋊C4C22×C411yescharacteristic
1115C2×C4⋊C4C22×C414yes—
1116C2×C22⋊C4C22×C411yescharacteristic
1117C2×C22⋊C4C22×C411yescharacteristic
1118C2×C22⋊C4C22×C414yes—
1119C2×C22⋊C4C22×C411yescharacteristic
1120C2×C22⋊C4C22×C411yescharacteristic
1121C2×C22⋊C4C22×C414yes—
1122C2×C22⋊C4C22×C411yescharacteristic
1123C2×C22⋊C4C22×C411yescharacteristic
1124C2×C22⋊C4C22×C414yes—
1125C2×C42C22×C412yes—
1126C2×C42C22×C411yescharacteristic
1127C2×C42C22×C414yes—
1128C2×C42C22×C411yescharacteristic
1129C2×C42C22×C411yescharacteristic
1130C2×C42C22×C411yescharacteristic
1131C2×C42C22×C412yes—
1132C2×C42C22×C411yescharacteristic
1133C2×C42C22×C411yescharacteristic
1134C2×C42C22×C414yes—
1135C2×C42C22×C411yescharacteristic
1136C2×C42C22×C411yescharacteristic
1137C2×C42C22×C412yes—
1138C2×C42C22×C414yes—
1139C2×C42C22×C414yes—
1140C2×C42C22×C411yescharacteristic
1141C2×C42C22×C411yescharacteristic
1142C2×C42C22×C412yes—
1143C2×C42C22×C414yes—
1144C2×C42C22×C414yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2414yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C4⋊C8C2414yes—
1163C4⋊C8C2414yes—
1164C4⋊C8C2414yes—
1165C4⋊C8C2414yes—
1166C4⋊C8C2418yes—
1167C4⋊C8C2414yes—
1168C4⋊C8C2418yes—
1169C4⋊C8C2414yes—
1170C4⋊C8C2414yes—
1171C4⋊C8C2414yes—
1172C4⋊C8C2418yes—
1173C4⋊C8C2418yes—
1174C4⋊C8C2414yes—
1175C4⋊C8C2414yes—
1176C4⋊C8C2418yes—
1177C4⋊C8C2418yes—
1178C4⋊C8C2418yes—
1179C4⋊C8C2418yes—
1180C4⋊C8C2418yes—
1181C4⋊C8C2418yes—
1182C22⋊C8C2414yes—
1183C22⋊C8C2414yes—
1184C22⋊C8C2414yes—
1185C22⋊C8C2414yes—
1186C22⋊C8C2418yes—
1187C22⋊C8C2414yes—
1188C22⋊C8C2418yes—
1189C22⋊C8C2414yes—
1190C22⋊C8C2414yes—
1191C22⋊C8C2414yes—
1192C22⋊C8C2418yes—
1193C22⋊C8C2418yes—
1194C22⋊C8C2414yes—
1195C22⋊C8C2414yes—
1196C22⋊C8C2418yes—
1197C22⋊C8C2418yes—
1198C22⋊C8C2418yes—
1199C22⋊C8C2418yes—
1200C22⋊C8C2418yes—
1201C22⋊C8C2418yes—
1202#97C2414yes—
1203#97C2414yes—
1204#97C2418yes—
1205#97C2414yes—
1206#97C2418yes—
1207#97C2414yes—
1208#97C2418yes—
1209#97C2418yes—
1210#97C2414yes—
1211#97C2414yes—
1212#97C2418yes—
1213C4×C8C2412yes—
1214C4×C8C2412yes—
1215C4×C8C2412yes—
1216C4×C8C2412yes—
1217C4×C8C2412yes—
1218C4×C8C2412yes—
1219C4×C8C2418yes—
1220C4×C8C2412yes—
1221C4×C8C2412yes—
1222C4×C8C2418yes—
1223C4×C8C2418yes—
1224C4×C8C2418yes—
1225C4×C8C2418yes—
1226C4×C8C2411yescharacteristic
1227C4×C8C2411yescharacteristic
1228C4×C8C2411yescharacteristic
1229C4×C8C2411yescharacteristic
1230C4×C8C2412yes—
1231C4×C8C2414yes—
1232C4×C8C2412yes—
1233C4×C8C2414yes—
1234C24C23×C411yescharacteristic
1235C24C23×C411yescharacteristic
1236C24C23×C411yescharacteristic
1237C24C23×C414yes—
1238#41—28no—
1239#41—28no—
1240#41—44no—
1241#41—44no—
1242#41—48no—
1243#41—44no—
1244#41—44no—
1245#41—48no—
1246#41—44no—
1247#41—44no—
1248#41—44no—
1249#41—44no—
1250#41—48no—
1251#41—48no—
1252#41—44no—
1253#41—44no—
1254C2×Q8—42no—
1255C2×Q8—44no—
1256C2×Q8C23×C412yes—
1257C2×Q8C23×C412yes—
1258C2×Q8C23×C412yes—
1259C2×Q8C23×C412yes—
1260C2×Q8C23×C414yes—
1261C2×Q8C23×C412yes—
1262C2×Q8C23×C412yes—
1263C2×Q8C23×C414yes—
1264C2×Q8C23×C412yes—
1265C2×Q8C23×C412yes—
1266C2×Q8C23×C414yes—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—48no—
1272C2×D4C23×C414yes—
1273C2×D4C23×C414yes—
1274C2×D4C23×C412yes—
1275C2×D4C23×C412yes—
1276C2×D4C23×C412yes—
1277C2×D4C23×C412yes—
1278C2×D4C23×C412yes—
1279C2×D4C23×C412yes—
1280C2×D4C23×C414yes—
1281C2×D4C23×C414yes—
1282C2×D4C23×C412yes—
1283C2×D4C23×C412yes—
1284C2×D4C23×C414yes—
1285C2×D4C23×C414yes—
1286C2×D4C23×C414yes—
1287C2×D4C23×C414yes—
1288C2×D4C23×C414yes—
1289C2×D4C23×C412yes—
1290C2×D4C23×C414yes—
1291C2×D4C23×C412yes—
1292C2×D4C23×C414yes—
1293C2×D4C23×C414yes—
1294C2×D4C23×C414yes—
1295C2×D4C23×C414yes—
1296C2×D4C23×C412yes—
1297C2×D4C23×C414yes—
1298C2×D4C23×C412yes—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—48no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—48no—
1310C22×C4—48no—
1311C22×C4C23×C412yes—
1312C22×C4C23×C412yes—
1313C22×C4C23×C411yescharacteristic
1314C22×C4C23×C411yescharacteristic
1315C22×C4C23×C412yes—
1316C22×C4C23×C411yescharacteristic
1317C22×C4C23×C411yescharacteristic
1318C22×C4C23×C411yescharacteristic
1319C22×C4C23×C411yescharacteristic
1320C22×C4C23×C412yes—
1321C22×C4C23×C414yes—
1322C22×C4C23×C414yes—
1323C22×C4C23×C411yescharacteristic
1324C22×C4C23×C411yescharacteristic
1325C22×C4C23×C412yes—
1326C22×C4C23×C414yes—
1327C22×C4C23×C414yes—
1328C22×C4C23×C411yescharacteristic
1329C22×C4C23×C411yescharacteristic
1330C22×C4C23×C412yes—
1331C22×C4C23×C412yes—
1332C22×C4C23×C411yescharacteristic
1333C22×C4C23×C414yes—
1334C22×C4C23×C411yescharacteristic
1335C22×C4C23×C411yescharacteristic
1336C22×C4C23×C411yescharacteristic
1337C22×C4C23×C411yescharacteristic
1338C22×C4C23×C412yes—
1339C22×C4C23×C414yes—
1340C22×C4C23×C414yes—
1341C22×C4C23×C412yes—
1342C22×C4C23×C411yescharacteristic
1343C22×C4C23×C414yes—
1344C22×C4C23×C411yescharacteristic
1345C22×C4C23×C411yescharacteristic
1346C22×C4C23×C414yes—
1347C22×C4C23×C414yes—
1348C22×C4C23×C414yes—
1349C22×C4C23×C411yescharacteristic
1350C22×C4C23×C411yescharacteristic
1351C22×C4C23×C414yes—
1352C22×C4C23×C412yes—
1353C22×C4C23×C414yes—
1354C22×C4C23×C411yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2514yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362M16—28no—
1363M16—28no—
1364M16—216no—
1365M16—44no—
1366M16—48no—
1367M16—44no—
1368M16—48no—
1369M16—48no—
1370M16—44no—
1371M16—44no—
1372M16—48no—
1373C2×C8—24no—
1374C2×C8—24no—
1375C2×C8—24no—
1376C2×C8—216no—
1377C2×C8—42no—
1378C2×C8—42no—
1379C2×C8—42no—
1380C2×C8—42no—
1381C2×C8—42no—
1382C2×C8—48no—
1383C2×C8—48no—
1384C2×C8—48no—
1385C2×C8—48no—
1386C2×C8C2512yes—
1387C2×C8C2512yes—
1388C2×C8C2512yes—
1389C2×C8C2518yes—
1390C2×C8C2514yes—
1391C2×C8C2514yes—
1392C2×C8C2518yes—
1393C2×C8C2512yes—
1394C4⋊C4C23×C412yes—
1395C4⋊C4C23×C412yes—
1396C4⋊C4C23×C414yes—
1397C4⋊C4C23×C412yes—
1398C4⋊C4C23×C412yes—
1399C4⋊C4C23×C414yes—
1400C4⋊C4C23×C414yes—
1401C4⋊C4C23×C412yes—
1402C4⋊C4C23×C412yes—
1403C4⋊C4C23×C412yes—
1404C4⋊C4C23×C412yes—
1405C4⋊C4C23×C414yes—
1406C4⋊C4C23×C414yes—
1407C4⋊C4C23×C412yes—
1408C4⋊C4C23×C412yes—
1409C4⋊C4C23×C414yes—
1410C4⋊C4C23×C412yes—
1411C4⋊C4C23×C412yes—
1412C4⋊C4C23×C414yes—
1413C4⋊C4C23×C414yes—
1414C4⋊C4C23×C412yes—
1415C4⋊C4C23×C412yes—
1416C4⋊C4C23×C412yes—
1417C4⋊C4C23×C412yes—
1418C4⋊C4C23×C414yes—
1419C4⋊C4C23×C414yes—
1420C4⋊C4C23×C414yes—
1421C4⋊C4C23×C414yes—
1422C4⋊C4C23×C414yes—
1423C4⋊C4C23×C414yes—
1424C4⋊C4C23×C412yes—
1425C4⋊C4C23×C412yes—
1426C4⋊C4C23×C414yes—
1427C4⋊C4C23×C414yes—
1428C4⋊C4C23×C414yes—
1429C4⋊C4C23×C412yes—
1430C4⋊C4C23×C414yes—
1431C4⋊C4C23×C414yes—
1432C4⋊C4C23×C414yes—
1433C4⋊C4C23×C412yes—
1434C4⋊C4C23×C414yes—
1435C4⋊C4C23×C414yes—
1436C4⋊C4C23×C414yes—
1437C4⋊C4C23×C414yes—
1438C4⋊C4C23×C412yes—
1439C4⋊C4C23×C412yes—
1440C4⋊C4C23×C414yes—
1441C4⋊C4C23×C412yes—
1442C4⋊C4C23×C412yes—
1443C4⋊C4C23×C414yes—
1444C4⋊C4C23×C414yes—
1445C4⋊C4C23×C414yes—
1446C4⋊C4C23×C414yes—
1447C4⋊C4C23×C414yes—
1448C22⋊C4C23×C412yes—
1449C22⋊C4C23×C412yes—
1450C22⋊C4C23×C412yes—
1451C22⋊C4C23×C412yes—
1452C22⋊C4C23×C414yes—
1453C22⋊C4C23×C414yes—
1454C22⋊C4C23×C414yes—
1455C22⋊C4C23×C414yes—
1456C22⋊C4C23×C414yes—
1457C22⋊C4C23×C414yes—
1458C22⋊C4C23×C412yes—
1459C22⋊C4C23×C412yes—
1460C22⋊C4C23×C412yes—
1461C22⋊C4C23×C412yes—
1462C22⋊C4C23×C414yes—
1463C22⋊C4C23×C414yes—
1464C22⋊C4C23×C414yes—
1465C22⋊C4C23×C414yes—
1466C22⋊C4C23×C412yes—
1467C22⋊C4C23×C412yes—
1468C22⋊C4C23×C412yes—
1469C22⋊C4C23×C412yes—
1470C22⋊C4C23×C414yes—
1471C22⋊C4C23×C414yes—
1472C22⋊C4C23×C414yes—
1473C22⋊C4C23×C414yes—
1474C22⋊C4C23×C414yes—
1475C22⋊C4C23×C414yes—
1476C22⋊C4C23×C414yes—
1477C22⋊C4C23×C414yes—
1478C22⋊C4C23×C414yes—
1479C22⋊C4C23×C414yes—
1480C22⋊C4C23×C414yes—
1481C22⋊C4C23×C414yes—
1482C22⋊C4C23×C414yes—
1483C22⋊C4C23×C414yes—
1484C22⋊C4C23×C414yes—
1485C22⋊C4C23×C414yes—
1486C22⋊C4C23×C414yes—
1487C22⋊C4C23×C414yes—
1488C22⋊C4C23×C414yes—
1489C22⋊C4C23×C414yes—
1490C22⋊C4C23×C414yes—
1491C22⋊C4C23×C414yes—
1492C22⋊C4C23×C414yes—
1493C22⋊C4C23×C414yes—
1494C22⋊C4C23×C414yes—
1495C22⋊C4C23×C414yes—
1496C42C23×C411yescharacteristic
1497C42C23×C412yes—
1498C42C23×C412yes—
1499C42C23×C411yescharacteristic
1500C42C23×C412yes—
1501C42C23×C412yes—
1502C42C23×C412yes—
1503C42C23×C414yes—
1504C42C23×C414yes—
1505C42C23×C411yescharacteristic
1506C42C23×C411yescharacteristic
1507C42C23×C412yes—
1508C42C23×C411yescharacteristic
1509C42C23×C411yescharacteristic
1510C42C23×C412yes—
1511C42C23×C414yes—
1512C42C23×C414yes—
1513C42C23×C414yes—
1514C42C23×C414yes—
1515C42C23×C411yescharacteristic
1516C42C23×C411yescharacteristic
1517C42C23×C412yes—
1518C42C23×C411yescharacteristic
1519C42C23×C411yescharacteristic
1520C42C23×C412yes—
1521C42C23×C414yes—
1522C42C23×C414yes—
1523C42C23×C411yescharacteristic
1524C42C23×C411yescharacteristic
1525C42C23×C414yes—
1526C42C23×C412yes—
1527C42C23×C414yes—
1528C42C2511yescharacteristic
1529C42C2511yescharacteristic
1530C42C2511yescharacteristic
1531C42C2514yes—
1532C42C2514yes—
1533C42C2512yes—
1534C42C2512yes—
1535C42C2511yescharacteristic
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—41no—
1540C23—41no—
1541C23—44no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—44no—
1547C23—44no—
1548C23C24×C411yescharacteristic
1549C23C24×C411yescharacteristic
1550C23C24×C412yes—
1551C23C24×C414yes—
1552C23C24×C414yes—
1553C23C24×C412yes—
1554C23C24×C411yescharacteristic
1555Q8—24no—
1556Q8—24no—
1557Q8—42no—
1558Q8—42no—
1559Q8—44no—
1560Q8—42no—
1561Q8—42no—
1562Q8—44no—
1563Q8—42no—
1564Q8—42no—
1565Q8—44no—
1566D4—28no—
1567D4—28no—
1568D4—24no—
1569D4—24no—
1570D4—42no—
1571D4—42no—
1572D4—44no—
1573D4—42no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—44no—
1578D4—44no—
1579D4—44no—
1580D4—44no—
1581D4—42no—
1582D4—44no—
1583D4—42no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—42no—
1588D4—42no—
1589D4—44no—
1590D4—44no—
1591D4—44no—
1592D4—44no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—28no—
1600C2×C4—28no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—28no—
1612C2×C4—28no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—28no—
1619C2×C4—28no—
1620C2×C4—41no—
1621C2×C4—42no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—44no—
1625C2×C4—42no—
1626C2×C4—44no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—44no—
1630C2×C4—41no—
1631C2×C4—42no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—42no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4#56814yes—
1644C2×C4C24×C411yescharacteristic
1645C2×C4C24×C412yes—
1646C2×C4C24×C411yescharacteristic
1647C2×C4C24×C412yes—
1648C2×C4C24×C412yes—
1649C2×C4C24×C414yes—
1650C2×C4C24×C411yescharacteristic
1651C2×C4C24×C411yescharacteristic
1652C2×C4C24×C414yes—
1653C2×C4C24×C412yes—
1654C2×C4C24×C411yescharacteristic
1655C2×C4C24×C411yescharacteristic
1656C2×C4C24×C412yes—
1657C2×C4C24×C414yes—
1658C2×C4C24×C414yes—
1659C2×C4C24×C414yes—
1660C2×C4C24×C414yes—
1661C2×C4C24×C411yescharacteristic
1662C2×C4C24×C411yescharacteristic
1663C2×C4C24×C412yes—
1664C2×C4C24×C411yescharacteristic
1665C2×C4C24×C411yescharacteristic
1666C2×C4C24×C411yescharacteristic
1667C2×C4C2611yescharacteristic
1668C8—22no—
1669C8—22no—
1670C8—22no—
1671C8—28no—
1672C8—24no—
1673C8—24no—
1674C8—28no—
1675C8#58514yes—
1676C22—21no—
1677C22—21no—
1678C22—22no—
1679C22—21no—
1680C22—21no—
1681C22—22no—
1682C22—24no—
1683C22—24no—
1684C22—22no—
1685C22—21no—
1686C22—21no—
1687C22—22no—
1688C22—24no—
1689C22—24no—
1690C22—22no—
1691C22—21no—
1692C22—21no—
1693C22—24no—
1694C22—22no—
1695C22—24no—
1696C22—44no—
1697C22—82no—
1698C22—82no—
1699C22—88no—
1700C22C2×#56812yes—
1701C22C25×C411yescharacteristic
1702C4—22no—
1703C4—21no—
1704C4—21no—
1705C4—22no—
1706C4—24no—
1707C4—24no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—21no—
1712C4—22no—
1713C4—24no—
1714C4—24no—
1715C4—21no—
1716C4—22no—
1717C4—21no—
1718C4—21no—
1719C4—24no—
1720C4—22no—
1721C4—24no—
1722C4C2×#56812yes—
1723C4C2×#56812yes—
1724C4#357312yes—
1725C4C2×#58512yes—
1726C2—22no—
1727C2—41no—
1728C2—41no—
1729C2—42no—
1730C2—44no—
1731C2—44no—
1732C2—42no—
1733C2C4×#58511yescharacteristic
1734C2C22×#56811yescharacteristic
1735C2C2×#357311yescharacteristic
subgroupG/H
centerC42C25
commutator, socleC22C25×C4
Frattini, cosocleC2×C4C26
prime radical#62686C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C42 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60344C2semidirect
3. #60340C2semidirect
4. #60336C2semidirect
5. #60326C2semidirect
6. #60322C2semidirect
7. #60319C2semidirect
8. #60316C2semidirect
9. #60313C2semidirect
10. #60281C2semidirect
11. #60280C2semidirect
12. #60279C2semidirect
13. #60279C2semidirect
14. #60279C2semidirect
15. #60278C2semidirect
16. #60277C2semidirect
17. M16×#41C2semidirect
18. #60210C2semidirect
19. #60210C2semidirect
20. #60205C2semidirect
21. #60204C2semidirect
22. #60204C2semidirect
23. C2×#2965C2semidirect
55. #2995C22semidirect
56. #2995C22semidirect
57. #2995C22semidirect
58. #2995C22semidirect
59. #2994C22semidirect
60. #2994C22semidirect
61. #2994C22semidirect
62. #2993C22semidirect
63. #2993C22semidirect
64. #2993C22semidirect
65. #2993C22semidirect
66. #2992C22semidirect
67. #2992C22semidirect
68. #2992C22semidirect
69. #2992C22semidirect
70. #2991C22semidirect
71. #2990C22semidirect
72. #2990C22semidirect
73. #2989C22semidirect
74. #2989C22semidirect
75. #2987C22semidirect
76. #2986C22semidirect
77. #2985C22semidirect
78. #2985C22semidirect
79. #2985C22semidirect
80. #2984C22semidirect
81. #2983C22semidirect
82. #2981C22semidirect
83. #2981C22semidirect
84. #2981C22semidirect
85. #2980C22semidirect
86. #2979C22semidirect
87. #2978C22semidirect
88. #2978C22semidirect
89. #2977C22semidirect
90. #2976C22semidirect
91. #2976C22semidirect
92. #2976C22semidirect
93. #2976C22semidirect
96. #2974C22semidirect
98. #2973C22semidirect
99. #2971C22semidirect
100. #2970C22semidirect
101. #2970C22semidirect
102. #2969C22semidirect
103. #2969C22semidirect
104. #2969C22semidirect
105. #2969C22semidirect
106. #2968C22semidirect
107. #2968C22semidirect
108. #2968C22semidirect
109. #2967C22semidirect
110. #2967C22semidirect
111. #2967C22semidirect
112. #2967C22semidirect
113. #2966C22semidirect
114. #2966C22semidirect
115. #2966C22semidirect
116. #2966C22semidirect
117. #2965C22semidirect
118. #2965C22semidirect
119. #2965C22semidirect
120. #2965C22semidirect
121. #2965C22semidirect
122. #2965C22semidirect
123. #2965C22semidirect
124. #2965C22semidirect
125. #2965C22semidirect
126. #2965C22semidirect
127. #2965C22semidirect
128. #2965C22semidirect
129. #2965C22semidirect
130. #2965C22semidirect
131. #2965C22semidirect
132. #2965C22semidirect
133. #2965C22semidirect
134. #2965C22semidirect
135. #2965C22semidirect
136. #2965C22semidirect
137. #2965C22semidirect
138. #2965C22semidirect
139. #2965C22semidirect
140. C8×#41C22semidirect
141. C8×#41C22semidirect
142. C8×#41C22semidirect
143. C8×#41C22semidirect
144. C8×#41C22semidirect
145. C8×#41C22semidirect
146. C8×#41C22semidirect
147. Q8×M16C22semidirect
148. #2962C22semidirect
149. #2962C22semidirect
150. #2961C22semidirect
151. #2960C22semidirect
152. #2960C22semidirect
153. C2×#446C22semidirect
154. #2935C22semidirect
155. #2935C22semidirect
157. D4×M16C22semidirect
158. #2933C22semidirect
159. #2933C22semidirect
160. #2933C22semidirect
161. #2932C22semidirect
162. #2931C22semidirect
163. #2931C22semidirect
164. #2930C22semidirect
165. #2930C22semidirect
166. #2929C22semidirect
167. #2929C22semidirect
170. C2×#435C22semidirect
171. #2922C22semidirect
172. #2922C22semidirect
173. #2922C22semidirect
174. #2922C22semidirect
175. #2922C22semidirect
176. #2922C22semidirect
177. #2922C22semidirect
179. #2920C22semidirect
180. #2920C22semidirect
181. #2920C22semidirect
182. #2920C22semidirect
184. C2×#431C22semidirect
185. C2×#431C22semidirect
186. C2×#431C22semidirect
187. C2×#431C22semidirect
188. C4×#131C22semidirect
189. C4×#131C22semidirect
190. C4×#131C22semidirect
192. C2×C4×M16C22semidirect
193. C2×C4×M16C22semidirect
194. C22×C4×C8C22semidirect

Maximal subgroups

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

subgroupindex
#626862
#603442
#603402
#603362
#603262
#603222
#603192
#603162
#603132
#602812
#602802
#602792
#602782
#602772
M16×#412
#602102
#602052
#602042
C2×#29652