Finite Group Databasebeta

← #7709791

Subgroups — #7709791

Order 512.

5374 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59472C214yesmaximal, complemented
2#59075C212yesmaximal, complemented
3#59030C212yesmaximal, complemented
4#46074C212yesmaximal, complemented
5#46073C212yesmaximal, complemented
6#45958C212yesmaximal, complemented
7#45947C212yesmaximal, complemented
8#40200C212yesmaximal, complemented
9#40176C212yesmaximal, complemented
10#39768C211yesmaximal, characteristic, complemented
11#39615C211yesmaximal, characteristic, complemented
12#39511C211yesmaximal, characteristic, complemented
13#39358C211yesmaximal, characteristic
14#38829C212yesmaximal, complemented
15#38768C212yesmaximal, complemented
16#38729C214yesmaximal, complemented
17#38569C214yesmaximal, complemented
18#37950C212yesmaximal, complemented
19#37746C212yesmaximal, complemented
20#37461C212yesmaximal, complemented
21#37109C214yesmaximal, complemented
22#36631C211yesmaximal, characteristic, complemented
23C2×#2861C211yesmaximal, characteristic, complemented
24#36602C212yesmaximal, complemented
25#36112C212yesmaximal, complemented
26#36111C212yesmaximal, complemented
27D4×#124C212yesmaximal, complemented
28#35135C212yesmaximal, complemented
29#35131C212yesmaximal, complemented
30#34437C212yesmaximal, complemented
31C4×#529C211yesmaximal, characteristic, complemented
32C2×D4×Q8C2212yescomplemented
33C2×D42C2212yes—
34C2×#534C2212yes—
35C2×#529C2211yescharacteristic
36C2×#529C2212yescomplemented
37C2×#529C2212yescomplemented
38C22×#125C2211yescharacteristic, complemented
39C22×#124C2211yescharacteristic
40C22×#124C2212yescomplemented
41#2861C2212yescomplemented
42#2861C2212yescomplemented
43#2861C2212yescomplemented
44#2861C2212yescomplemented
45#2861C2212yescomplemented
46#2861C2212yescomplemented
47#2861C2212yescomplemented
48#2861C2212yescomplemented
49#2861C2212yescomplemented
50#2861C2212yescomplemented
51#2860C2212yescomplemented
52#2860C2212yescomplemented
53#2859C2211yescharacteristic, complemented
54#2858C2212yes—
55#2858C2211yescharacteristic, complemented
56#2857C2211yescharacteristic, complemented
57#2856C2211yescharacteristic
58#2854C2212yescomplemented
59#2854C2212yescomplemented
60#2851C2212yescomplemented
61#2850C2212yes—
62#2850C2212yescomplemented
63#2837C2214yescomplemented
64#2832C2214yescomplemented
65#2808C2212yescomplemented
66#2808C2212yescomplemented
67#2804C2212yescomplemented
68#2800C2214yescomplemented
69#2800C2214yescomplemented
70#2797C2214yescomplemented
71#2788C2214yescomplemented
72#2785C2214yescomplemented
73#2781C2214yescomplemented
74#2779C2214yescomplemented
75#2775C2214yescomplemented
76#2756C2214yescomplemented
77#2753C2214yescomplemented
78#2753C2214yescomplemented
79#2751C2214yescomplemented
80#2750C2214yescomplemented
81#2741C2214yescomplemented
82#2740C2214yescomplemented
83#2736C2214yescomplemented
84#2736C2214yescomplemented
85#2734C2212yescomplemented
86#2732C2212yescomplemented
87#2729C2214yescomplemented
88#2727C2212yescomplemented
89#2716C2214yescomplemented
90#2702C2214yescomplemented
91#2695C2214yescomplemented
92#2694C2214yescomplemented
93#2691C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2684C2214yescomplemented
98#2682C2212yes—
99#2679C2212yes—
100#2678C2214yes—
101#2662C2214yescomplemented
102#2662C2214yescomplemented
103#2659C2212yescomplemented
104#2654C2214yescomplemented
105#2650C2214yescomplemented
106#2649C2214yescomplemented
107#2639C2212yescomplemented
108#2630C2214yescomplemented
109#2626C2212yescomplemented
110#2617C2212yes—
111#2610C2214yescomplemented
112#2610C2214yescomplemented
113#2597C2214yescomplemented
114#2597C2214yescomplemented
115#2595C2214yescomplemented
116#2593C2214yescomplemented
117#2593C2214yescomplemented
118#2592C2212yescomplemented
119#2592C2212yescomplemented
120#2574C2214yescomplemented
121#2564C2214yescomplemented
122#2558C2214yescomplemented
123#2557C2214yescomplemented
124#2548C2212yes—
125#2547C2212yescomplemented
126#2545C2212yescomplemented
127#2545C2212yescomplemented
128#2544C2212yes—
129#2544C2212yescomplemented
130#2534C2214yescomplemented
131#2530C2214yescomplemented
132#2529C2214yescomplemented
133#2521C2214yescomplemented
134#2519C2214yescomplemented
135#2512C2212yescomplemented
136#2511C2212yescomplemented
137#2491C2214yescomplemented
138#2491C2214yescomplemented
139#2490C2212yes—
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2489C2212yescomplemented
143#2488C2214yescomplemented
144#2481C2214yescomplemented
145#2480C2214yescomplemented
146#2480C2214yescomplemented
147#2479C2214yescomplemented
148#2477C2214yescomplemented
149#2476C2214yescomplemented
150#2475C2214yescomplemented
151#2474C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2472C2214yescomplemented
155#2472C2214yescomplemented
156#2470C2214yescomplemented
157#2467C2214yescomplemented
158#2460C2214yescomplemented
159#2459C2214yescomplemented
160#2458C2214yescomplemented
161#2458C2214yescomplemented
162#2454C2212yescomplemented
163#2454C2212yescomplemented
164#2453C2212yescomplemented
165#2453C2212yescomplemented
166#2450C2214yescomplemented
167#2448C2212yescomplemented
168#2447C2212yescomplemented
169#2446C2212yescomplemented
170#2446C2212yescomplemented
171#2445C2212yes—
172#2445C2212yes—
173#2444C2214yescomplemented
174#2443C2214yescomplemented
175#2439C2214yescomplemented
176#2436C2212yes—
177#2436C2212yescomplemented
178#2436C2212yescomplemented
179#2435C2212yes—
180#2435C2212yescomplemented
181#2435C2212yescomplemented
182#2434C2212yescomplemented
183#2433C2212yes—
184#2427C2212yescomplemented
185#2426C2212yes—
186#2425C2214yescomplemented
187#2423C2212yescomplemented
188#2422C2212yes—
189#2418C2214yescomplemented
190#2418C2214yescomplemented
191#2418C2214yescomplemented
192#2417C2212yescomplemented
193#2416C2212yes—
194#2411C2214yescomplemented
195#2411C2214yescomplemented
196#2411C2214yescomplemented
197#2410C2214yes—
198#2409C2212yescomplemented
199#2408C2212yes—
200#2405C2214yescomplemented
201#2376C2214yescomplemented
202#2375C2214yescomplemented
203#2374C2214yescomplemented
204#2374C2214yescomplemented
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2364C2214yescomplemented
208#2361C2212yescomplemented
209#2361C2214yescomplemented
210#2360C2212yescomplemented
211#2358C2214yescomplemented
212#2352C2214yescomplemented
213#2342C2214yescomplemented
214Q8×C22⋊C4C2212yescomplemented
215D4×C22⋊C4C2214yescomplemented
216D4×C22⋊C4C2214yescomplemented
217D4×C22⋊C4C2212yescomplemented
218D4×C22⋊C4C2214yescomplemented
219#2335C2214yescomplemented
220#2335C2214yescomplemented
221#2334C2214yescomplemented
222#2325C2212yes—
223#2325C2212yescomplemented
224#2321C2214yescomplemented
225#2321C2214yescomplemented
226#2321C2214yescomplemented
227#2312C2212yescomplemented
228C4×C4⋊Q8C2211yescharacteristic, complemented
229C4×#127C2211yescharacteristic, complemented
230C4×#125C2212yescomplemented
231C4×#125C2211yescharacteristic, complemented
232C4×#125C2211yescharacteristic, complemented
233C4×#126C2212yescomplemented
234C4×#126C2212yescomplemented
235C4×#124C2212yescomplemented
236C4×#124C2212yescomplemented
237C4×#124C2211yescharacteristic, complemented
238C4×#124C2211yescharacteristic, complemented
239C4×C22⋊Q8C2211yescharacteristic, complemented
240C4×C22⋊Q8C2211yescharacteristic, complemented
241C4×#123C2212yescomplemented
242C4×#123C2212yescomplemented
243C4×#121C2211yescharacteristic
244C4×#121C2211yescharacteristic
245C4×#121C2212yescomplemented
246C4×#121C2212yescomplemented
247#2298C2212yescomplemented
248#2295C2211yescharacteristic, complemented
249C2×#391C2211yescharacteristic, complemented
250C2×#391C2211yescharacteristic, complemented
251#2293C2212yescomplemented
252#2293C2212yescomplemented
253#2293C2211yescharacteristic, complemented
254C2×#390C2211yescharacteristic
255C2×#390C2211yescharacteristic
256#2290C2212yescomplemented
257C2×#388C2212yescomplemented
258C2×#388C2212yescomplemented
259C2×#388C2212yescomplemented
260C2×#388C2212yescomplemented
261#2283C2211yescharacteristic, complemented
262C42×Q8C2211yescharacteristic, complemented
263C42×D4C2212yescomplemented
264C42×D4C2211yescharacteristic, complemented
265C4×#117C2212yescomplemented
266C2×C43C2211yescharacteristic, complemented
267C23×Q8C2311yescharacteristic
268C23×Q8C2312yes—
269C23×D4C2314yes—
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272D4×Q8—48no—
273D42—48no—
274#534—216no—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2314yes—
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280#529—28no—
281#529—48no—
282#529—48no—
283C2×#126C2312yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#125—44no—
288C2×#125C2311yescharacteristic
289C2×#125C2312yes—
290C2×#125C2312yes—
291C2×#125C2312yes—
292C2×#125C2312yes—
293C2×#125C2312yes—
294C2×#124—44no—
295C2×#124—48no—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2311yescharacteristic
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C42C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#391C2312yes—
461#391C2314yes—
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2314yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#384C2311yescharacteristic
655#384C2311yescharacteristic
656#383C2312yes—
657#382C2312yes—
658#382C2311yescharacteristic
659#382C2311yescharacteristic
660#382C2314yes—
661#382C2314yes—
662#381C2314yes—
663#381C2312yes—
664#380C2312yes—
665#380C2314yes—
666#380C2311yescharacteristic
667#380C2312yes—
668#380C2314yes—
669#380C2314yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2311yescharacteristic
677#379C2314yes—
678#379C2314yes—
679#379C2314yes—
680#379C2314yes—
681#379C2314yes—
682#379C2314yes—
683#379C2314yes—
684#379C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728#376C2312yes—
729#376C2312yes—
730C2×#95C2312yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C43C2311yescharacteristic
735C43C2311yescharacteristic
736C43C2312yes—
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C43C2311yescharacteristic
743C25C2412yes—
744C25C2414yes—
745C22×Q8—24no—
746C22×Q8—42no—
747C22×Q8—44no—
748C22×Q8—44no—
749C22×Q8—42no—
750C22×Q8—44no—
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2414yes—
756C22×D4—216no—
757C22×D4—24no—
758C22×D4—42no—
759C22×D4—44no—
760C22×D4—44no—
761C22×D4—42no—
762C22×D4—44no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2411yescharacteristic
795C4⋊Q8—42no—
796C4⋊Q8—44no—
797C4⋊Q8—48no—
798#127—42no—
799#127—44no—
800#126—28no—
801#126—48no—
802#126—48no—
803#126—48no—
804#125—24no—
805#125—28no—
806#125—44no—
807#125—44no—
808#125—44no—
809#125—44no—
810#124—24no—
811#124—28no—
812#124—28no—
813#124—48no—
814#124—44no—
815#124—44no—
816#124—48no—
817#124—44no—
818#124—44no—
819#124—44no—
820#124—44no—
821#124—44no—
822#124—44no—
823#123—28no—
824#123—216no—
825#123—216no—
826#123—48no—
827#123—48no—
828#123—48no—
829C22⋊Q8—24no—
830C22⋊Q8—28no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835#121—216no—
836#121—28no—
837#121—28no—
838#121—48no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121#4118yes—
843#120—216no—
844#120—216no—
845#120—48no—
846#120—48no—
847#120—48no—
848C4×Q8—24no—
849C4×Q8—42no—
850C4×Q8—42no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×D4—24no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—42no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—42no—
864C4×D4—48no—
865C4×D4—44no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4—48no—
869#117—28no—
870#117—44no—
871#117—48no—
872#117—48no—
873C2×C4⋊C4—44no—
874C2×C4⋊C4—42no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—42no—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C22⋊C4—28no—
924C2×C22⋊C4—48no—
925C2×C22⋊C4—44no—
926C2×C22⋊C4—44no—
927C2×C22⋊C4—44no—
928C2×C22⋊C4—44no—
929C2×C22⋊C4—48no—
930C2×C22⋊C4—48no—
931C2×C22⋊C4—44no—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C42—24no—
993C2×C42—24no—
994C2×C42—24no—
995C2×C42—28no—
996C2×C42—42no—
997C2×C42—42no—
998C2×C42—42no—
999C2×C42—42no—
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092C24—24no—
1093C24—24no—
1094C24—24no—
1095C24—28no—
1096C24—42no—
1097C24—44no—
1098C24—42no—
1099C24—42no—
1100C24—42no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24C2514yes—
1107C24C2514yes—
1108C24C2512yes—
1109C24C2511yescharacteristic
1110C2×Q8—22no—
1111C2×Q8—24no—
1112C2×Q8—24no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—41no—
1119C2×Q8—41no—
1120C2×Q8—44no—
1121C2×Q8—42no—
1122C2×Q8—44no—
1123C2×Q8—42no—
1124C2×Q8—44no—
1125C2×Q8—88no—
1126C2×Q8—816no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—88no—
1165C2×D4—816no—
1166C2×D4—832no—
1167C2×D4C2×#4118yes—
1168C2×D4C2×#4114yes—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—28no—
1191C22×C4—24no—
1192C22×C4—28no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—42no—
1212C22×C4—44no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—42no—
1218C22×C4C2×#4114yes—
1219C22×C4H(5,𝔽2)14yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4C2×#4114yes—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4C2×#4118yes—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—22no—
1359C42—24no—
1360C42—22no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—44no—
1391C42—44no—
1392C42—42no—
1393C42—44no—
1394C42H(5,𝔽2)14yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—24no—
1406C23—24no—
1407C23—24no—
1408C23—24no—
1409C23—24no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—24no—
1414C23—24no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—24no—
1419C23—48no—
1420C23—84no—
1421C23—88no—
1422C23—84no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—84no—
1427C23—88no—
1428C23—88no—
1429C23—88no—
1430C23—88no—
1431C23—164no—
1432C23—164no—
1433C23C22×#4114yes—
1434C23C22×#4112yes—
1435C23C2×H(5,𝔽2)12yes—
1436C23#58512yes—
1437C23C2611yescharacteristic
1438Q8—44no—
1439Q8—48no—
1440Q8—48no—
1441Q8—84no—
1442Q8—88no—
1443D4—216no—
1444D4—44no—
1445D4—416no—
1446D4—48no—
1447D4—48no—
1448D4—84no—
1449D4—84no—
1450D4—84no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—88no—
1455D4—164no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—28no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—48no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—48no—
1535C2×C4—84no—
1536C2×C4—88no—
1537C2×C4—88no—
1538C2×C4—84no—
1539C2×C4—84no—
1540C2×C4—84no—
1541C2×C4—88no—
1542C2×C4—88no—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4114yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×H(5,𝔽2)12yes—
1548C2×C4C2×H(5,𝔽2)12yes—
1549C2×C4C2×H(5,𝔽2)12yes—
1550C2×C4C2×H(5,𝔽2)12yes—
1551C2×C4#58512yes—
1552C2×C4#58512yes—
1553C2×C4#58512yes—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—24no—
1561C22—24no—
1562C22—24no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—44no—
1568C22—44no—
1569C22—44no—
1570C22—44no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—44no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—44no—
1580C22—44no—
1581C22—168no—
1582C22—1616no—
1583C22#351414yes—
1584C22C23×#4111yescharacteristic
1585C22C22×H(5,𝔽2)11yescharacteristic
1586C22C22×H(5,𝔽2)11yescharacteristic
1587C22C2×#58511yescharacteristic
1588C22C2×#58511yescharacteristic
1589C22C2×#58511yescharacteristic
1590C22C2×#58511yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—24no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—42no—
1600C4—44no—
1601C4—44no—
1602C4—41no—
1603C4—44no—
1604C4—42no—
1605C4—41no—
1606C4—41no—
1607C4—44no—
1608C4—42no—
1609C4—41no—
1610C4—42no—
1611C4—44no—
1612C4—42no—
1613C4—41no—
1614C4—41no—
1615C4—44no—
1616C4—42no—
1617C4#355814yes—
1618C2—24no—
1619C2—44no—
1620C2—84no—
1621C2—84no—
1622C2C2×#355811yescharacteristic
1623C2#6274811yescharacteristic
1624C2C2×#351411yescharacteristic
1625C2#6278111yescharacteristic
1626C2#6280011yescharacteristic
1627C2#6282911yescharacteristic
1628C2#6283011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39358C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59472C2semidirect
2. #59075C2semidirect
3. #59030C2semidirect
4. #46074C2semidirect
5. #46073C2semidirect
6. #45958C2semidirect
7. #45947C2semidirect
8. #40200C2semidirect
9. #40176C2semidirect
10. #39768C2semidirect
11. #39615C2semidirect
12. #39511C2semidirect
14. #38829C2semidirect
15. #38768C2semidirect
16. #38729C2semidirect
17. #38569C2semidirect
18. #37950C2semidirect
19. #37746C2semidirect
20. #37461C2semidirect
21. #37109C2semidirect
22. #36631C2semidirect
23. C2×#2861C2semidirect
24. #36602C2semidirect
25. #36112C2semidirect
26. #36111C2semidirect
27. D4×#124C2semidirect
28. #35135C2semidirect
29. #35131C2semidirect
30. #34437C2semidirect
31. C4×#529C2semidirect
32. C2×D4×Q8C22semidirect
36. C2×#529C22semidirect
37. C2×#529C22semidirect
38. C22×#125C22semidirect
40. C22×#124C22semidirect
41. #2861C22semidirect
42. #2861C22semidirect
43. #2861C22semidirect
44. #2861C22semidirect
45. #2861C22semidirect
46. #2861C22semidirect
47. #2861C22semidirect
48. #2861C22semidirect
49. #2861C22semidirect
50. #2861C22semidirect
51. #2860C22semidirect
52. #2860C22semidirect
53. #2859C22semidirect
55. #2858C22semidirect
56. #2857C22semidirect
58. #2854C22semidirect
59. #2854C22semidirect
60. #2851C22semidirect
62. #2850C22semidirect
63. #2837C22semidirect
64. #2832C22semidirect
65. #2808C22semidirect
66. #2808C22semidirect
67. #2804C22semidirect
68. #2800C22semidirect
69. #2800C22semidirect
70. #2797C22semidirect
71. #2788C22semidirect
72. #2785C22semidirect
73. #2781C22semidirect
74. #2779C22semidirect
75. #2775C22semidirect
76. #2756C22semidirect
77. #2753C22semidirect
78. #2753C22semidirect
79. #2751C22semidirect
80. #2750C22semidirect
81. #2741C22semidirect
82. #2740C22semidirect
83. #2736C22semidirect
84. #2736C22semidirect
85. #2734C22semidirect
86. #2732C22semidirect
87. #2729C22semidirect
88. #2727C22semidirect
89. #2716C22semidirect
90. #2702C22semidirect
91. #2695C22semidirect
92. #2694C22semidirect
93. #2691C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
97. #2684C22semidirect
101. #2662C22semidirect
102. #2662C22semidirect
103. #2659C22semidirect
104. #2654C22semidirect
105. #2650C22semidirect
106. #2649C22semidirect
107. #2639C22semidirect
108. #2630C22semidirect
109. #2626C22semidirect
111. #2610C22semidirect
112. #2610C22semidirect
113. #2597C22semidirect
114. #2597C22semidirect
115. #2595C22semidirect
116. #2593C22semidirect
117. #2593C22semidirect
118. #2592C22semidirect
119. #2592C22semidirect
120. #2574C22semidirect
121. #2564C22semidirect
122. #2558C22semidirect
123. #2557C22semidirect
125. #2547C22semidirect
126. #2545C22semidirect
127. #2545C22semidirect
129. #2544C22semidirect
130. #2534C22semidirect
131. #2530C22semidirect
132. #2529C22semidirect
133. #2521C22semidirect
134. #2519C22semidirect
135. #2512C22semidirect
136. #2511C22semidirect
137. #2491C22semidirect
138. #2491C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
142. #2489C22semidirect
143. #2488C22semidirect
144. #2481C22semidirect
145. #2480C22semidirect
146. #2480C22semidirect
147. #2479C22semidirect
148. #2477C22semidirect
149. #2476C22semidirect
150. #2475C22semidirect
151. #2474C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2472C22semidirect
155. #2472C22semidirect
156. #2470C22semidirect
157. #2467C22semidirect
158. #2460C22semidirect
159. #2459C22semidirect
160. #2458C22semidirect
161. #2458C22semidirect
162. #2454C22semidirect
163. #2454C22semidirect
164. #2453C22semidirect
165. #2453C22semidirect
166. #2450C22semidirect
167. #2448C22semidirect
168. #2447C22semidirect
169. #2446C22semidirect
170. #2446C22semidirect
173. #2444C22semidirect
174. #2443C22semidirect
175. #2439C22semidirect
177. #2436C22semidirect
178. #2436C22semidirect
180. #2435C22semidirect
181. #2435C22semidirect
182. #2434C22semidirect
184. #2427C22semidirect
186. #2425C22semidirect
187. #2423C22semidirect
189. #2418C22semidirect
190. #2418C22semidirect
191. #2418C22semidirect
192. #2417C22semidirect
194. #2411C22semidirect
195. #2411C22semidirect
196. #2411C22semidirect
198. #2409C22semidirect
200. #2405C22semidirect
201. #2376C22semidirect
202. #2375C22semidirect
203. #2374C22semidirect
204. #2374C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
207. #2364C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
210. #2360C22semidirect
211. #2358C22semidirect
212. #2352C22semidirect
213. #2342C22semidirect
214. Q8×C22⋊C4C22semidirect
215. D4×C22⋊C4C22semidirect
216. D4×C22⋊C4C22semidirect
217. D4×C22⋊C4C22semidirect
218. D4×C22⋊C4C22semidirect
219. #2335C22semidirect
220. #2335C22semidirect
221. #2334C22semidirect
223. #2325C22semidirect
224. #2321C22semidirect
225. #2321C22semidirect
226. #2321C22semidirect
227. #2312C22semidirect
228. C4×C4⋊Q8C22semidirect
229. C4×#127C22semidirect
230. C4×#125C22semidirect
231. C4×#125C22semidirect
232. C4×#125C22semidirect
233. C4×#126C22semidirect
234. C4×#126C22semidirect
235. C4×#124C22semidirect
236. C4×#124C22semidirect
237. C4×#124C22semidirect
238. C4×#124C22semidirect
239. C4×C22⋊Q8C22semidirect
240. C4×C22⋊Q8C22semidirect
241. C4×#123C22semidirect
242. C4×#123C22semidirect
245. C4×#121C22semidirect
246. C4×#121C22semidirect
247. #2298C22semidirect
248. #2295C22semidirect
249. C2×#391C22semidirect
250. C2×#391C22semidirect
251. #2293C22semidirect
252. #2293C22semidirect
253. #2293C22semidirect
256. #2290C22semidirect
257. C2×#388C22semidirect
258. C2×#388C22semidirect
259. C2×#388C22semidirect
260. C2×#388C22semidirect
261. #2283C22semidirect
262. C42×Q8C22semidirect
263. C42×D4C22semidirect
264. C42×D4C22semidirect
265. C4×#117C22semidirect
266. C2×C43C22semidirect

Maximal subgroups

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

subgroupindex
#594722
#590752
#590302
#460742
#460732
#459582
#459472
#402002
#401762
#397682
#396152
#395112
#393582
#388292
#387682
#387292
#385692
#379502
#377462
#374612
#371092
#366312
C2×#28612
#366022
#361122
#361112
D4×#1242
#351352
#351312
#344372
C4×#5292