Finite Group Databasebeta

← #7710662

Subgroups — #7710662

Order 512.

5136 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59642C211yesmaximal, characteristic, complemented
2#59640C211yesmaximal, characteristic, complemented
3#59413C211yesmaximal, characteristic, complemented
4#59411C211yesmaximal, characteristic, complemented
5#59054C212yesmaximal, complemented
6#59037C212yesmaximal, complemented
7#45874C214yesmaximal, complemented
8#45675C212yesmaximal, complemented
9#45610C212yesmaximal, complemented
10#40452C214yesmaximal, complemented
11#40026C212yesmaximal, complemented
12#39976C212yesmaximal, complemented
13#39900C212yesmaximal, complemented
14#39854C212yesmaximal, complemented
15#39196C212yesmaximal, complemented
16#39139C211yesmaximal, characteristic, complemented
17#39137C211yesmaximal, characteristic, complemented
18#38946C212yesmaximal, complemented
19#38911C211yesmaximal, characteristic, complemented
20#38909C211yesmaximal, characteristic, complemented
21#38718C214yesmaximal, complemented
22#37579C212yesmaximal, complemented
23#36828C214yesmaximal, complemented
24#36631C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36538C211yesmaximal, characteristic, complemented
27#36502C212yesmaximal, complemented
28#36465C211yesmaximal, characteristic, complemented
29#36373C212yesmaximal, complemented
30#36285C211yesmaximal, characteristic, complemented
31#36270C211yesmaximal, characteristic, complemented
32#35186C212yesmaximal, complemented
33#35114C212yesmaximal, complemented
34#34496C212yesmaximal, complemented
35C4×#533C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#552C2212yes—
39C2×#550C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yes—
42C2×#548C2212yes—
43C2×#533C2211yescharacteristic
44C2×#529C2212yes—
45C2×#529C2211yescharacteristic
46C2×#529C2211yescharacteristic
47#2863C2212yes—
48#2861C2212yes—
49#2861C2212yes—
50#2861C2211yescharacteristic
51#2861C2211yescharacteristic
52#2860C2212yes—
53#2860C2212yes—
54#2860C2212yes—
55#2860C2212yes—
56#2860C2212yes—
57#2859C2211yescharacteristic
58#2859C2211yescharacteristic
59#2858C2212yes—
60#2858C2211yescharacteristic
61#2858C2211yescharacteristic
62#2857C2211yescharacteristic
63#2857C2211yescharacteristic
64#2856C2211yescharacteristic
65#2856C2211yescharacteristic
66#2854C2212yes—
67#2854C2212yes—
68#2854C2212yes—
69#2854C2212yes—
70#2850C2211yescharacteristic
71#2850C2211yescharacteristic
72#2850C2212yes—
73#2836C2214yes—
74#2829C2214yes—
75#2807C2214yes—
76#2807C2214yes—
77#2803C2214yes—
78#2803C2214yes—
79#2798C2214yes—
80#2768C2214yes—
81#2753C2214yes—
82#2741C2214yes—
83#2721C2214yes—
84#2720C2214yes—
85#2711C2214yes—
86#2710C2214yes—
87#2705C2214yes—
88#2704C2214yes—
89#2704C2214yes—
90#2704C2214yes—
91#2701C2214yes—
92#2701C2214yes—
93#2701C2214yes—
94#2694C2214yes—
95#2694C2214yes—
96#2692C2214yes—
97#2691C2214yes—
98#2689C2214yes—
99#2687C2214yes—
100#2687C2214yes—
101#2682C2214yes—
102#2682C2214yes—
103#2676C2214yes—
104#2671C2214yes—
105#2671C2214yes—
106#2671C2214yes—
107#2667C2214yes—
108#2651C2214yes—
109#2651C2214yes—
110#2651C2214yes—
111#2648C2214yes—
112#2632C2214yes—
113#2625C2212yes—
114#2624C2212yes—
115#2621C2212yes—
116#2620C2212yes—
117#2610C2214yes—
118#2606C2214yes—
119#2601C2214yes—
120#2598C2214yes—
121#2595C2214yes—
122#2593C2214yes—
123#2592C2212yes—
124#2590C2214yes—
125#2589C2214yes—
126#2582C2211yescharacteristic
127#2582C2211yescharacteristic
128#2582C2212yes—
129#2580C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2568C2211yescharacteristic
133#2566C2212yes—
134#2565C2212yes—
135#2562C2212yes—
136#2558C2214yes—
137#2558C2214yes—
138#2558C2214yes—
139#2556C2214yes—
140#2552C2212yes—
141#2550C2212yes—
142#2550C2212yes—
143#2548C2212yes—
144#2548C2212yes—
145#2548C2211yescharacteristic
146#2545C2212yes—
147#2545C2212yes—
148#2545C2212yes—
149#2544C2212yes—
150#2544C2212yes—
151#2544C2212yes—
152#2542C2212yes—
153#2542C2211yescharacteristic
154#2542C2212yes—
155#2541C2212yes—
156#2541C2211yescharacteristic
157#2540C2214yes—
158#2540C2212yes—
159#2540C2214yes—
160#2540C2212yes—
161#2540C2212yes—
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2537C2212yes—
165#2536C2212yes—
166#2536C2212yes—
167#2531C2214yes—
168#2526C2214yes—
169#2521C2214yes—
170#2512C2214yes—
171#2507C2212yes—
172#2506C2212yes—
173#2502C2212yes—
174#2500C2212yes—
175#2492C2212yes—
176#2492C2212yes—
177#2491C2212yes—
178#2490C2212yes—
179#2479C2214yes—
180#2476C2214yes—
181#2476C2214yes—
182#2476C2214yes—
183#2474C2214yes—
184#2474C2214yes—
185#2471C2214yes—
186#2468C2214yes—
187#2468C2214yes—
188#2468C2214yes—
189#2467C2214yes—
190#2459C2214yes—
191#2459C2214yes—
192#2458C2214yes—
193#2454C2212yes—
194#2454C2212yes—
195#2454C2212yes—
196#2451C2212yes—
197#2448C2214yes—
198#2448C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2446C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2441C2214yes—
205#2438C2214yes—
206#2434C2212yes—
207#2432C2212yes—
208#2429C2212yes—
209#2428C2212yes—
210#2428C2212yes—
211#2427C2212yes—
212#2427C2212yes—
213#2426C2212yes—
214#2425C2214yes—
215#2423C2212yes—
216#2423C2212yes—
217#2423C2212yes—
218#2422C2212yes—
219#2420C2212yes—
220#2420C2212yes—
221#2416C2212yes—
222#2415C2212yes—
223#2409C2212yes—
224#2407C2212yes—
225#2378C2214yes—
226#2377C2214yes—
227#2372C2214yes—
228#2370C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2364C2214yes—
234#2363C2214yes—
235#2363C2212yes—
236#2360C2212yes—
237#2357C2212yes—
238#2356C2212yes—
239#2355C2211yescharacteristic
240#2354C2211yescharacteristic
241#2353C2214yes—
242#2352C2212yes—
243Q8×C4⋊C4C2211yescharacteristic
244#2349C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246Q8×C22⋊C4C2212yes—
247#2339C2212yes—
248#2337C2214yes—
249#2335C2214yes—
250#2333C2214yes—
251#2329C2214yes—
252#2326C2214yes—
253#2324C2212yes—
254#2323C2212yes—
255#2319C2214yes—
256#2311C2212yes—
257#2310C2212yes—
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#124C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2296C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2293C2212yes—
292#2293C2212yes—
293#2285C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#559—44no—
302#557—44no—
303#552—48no—
304#550—44no—
305D4×Q8—44no—
306#548—216no—
307#548—48no—
308#533—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319#529—44no—
320#529—44no—
321#529—48no—
322C2×#126C2314yes—
323C2×#126C2312yes—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#124C2314yes—
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2314yes—
417C2×#117C2314yes—
418C2×#117C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2314yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2314yes—
730#383C2314yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8—28no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865C4⋊Q8—44no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868#127—24no—
869#127—42no—
870#127—44no—
871#127—44no—
872#126—44no—
873#126—44no—
874#126—48no—
875#126—48no—
876#125—28no—
877#125—28no—
878#125—42no—
879#125—42no—
880#125—44no—
881#125—48no—
882#125—48no—
883#124—28no—
884#124—216no—
885#124—28no—
886#124—24no—
887#124—24no—
888#124—48no—
889#124—44no—
890#124—42no—
891#124—42no—
892#124—44no—
893#124—44no—
894#124—48no—
895#123—48no—
896#123—48no—
897#123—44no—
898#123—44no—
899#123—48no—
900#123—48no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—28no—
904C22⋊Q8—216no—
905C22⋊Q8—28no—
906C22⋊Q8—48no—
907C22⋊Q8—48no—
908C22⋊Q8—44no—
909C22⋊Q8—42no—
910C22⋊Q8—42no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915#121—216no—
916#121—28no—
917#121—44no—
918#121—48no—
919#121—48no—
920#121—48no—
921#121—48no—
922#121—44no—
923#121—44no—
924#121—42no—
925#121—42no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930C4×Q8—28no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8#4118yes—
945C4×D4—28no—
946C4×D4—216no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962#117—28no—
963#117—44no—
964#117—44no—
965#117—48no—
966#117—48no—
967#117—44no—
968#117—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—42no—
1100C2×C42—42no—
1101C2×C42—42no—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2514yes—
1206C24C2512yes—
1207C24C2512yes—
1208C24C2511yescharacteristic
1209#41—816no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—28no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—42no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—816no—
1231C2×Q8C2×#4114yes—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4C2×#4118yes—
1414C4⋊C4C2×#4114yes—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C42—41no—
1502C42—41no—
1503C42—41no—
1504C42—41no—
1505C42—42no—
1506C42—42no—
1507C42—44no—
1508C42—44no—
1509C42—42no—
1510C42—42no—
1511C42—44no—
1512C42—44no—
1513C42—44no—
1514C42C2×#4114yes—
1515C42C2×#4118yes—
1516C42H(5,𝔽2)14yes—
1517C42H(5,𝔽2)14yes—
1518C422−1+414yes—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—24no—
1542C23—22no—
1543C23—24no—
1544C23—22no—
1545C23—22no—
1546C23#58512yes—
1547C23C2611yescharacteristic
1548Q8—28no—
1549Q8—48no—
1550Q8—44no—
1551Q8—48no—
1552Q8—44no—
1553Q8—44no—
1554Q8—88no—
1555D4—48no—
1556D4—44no—
1557D4—44no—
1558D4—48no—
1559D4—84no—
1560D4—84no—
1561D4—88no—
1562D4—84no—
1563D4—88no—
1564D4—88no—
1565D4—84no—
1566D4—84no—
1567D4—88no—
1568D4—164no—
1569C2×C4—28no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—88no—
1656C2×C4—88no—
1657C2×C4—88no—
1658C2×C4—88no—
1659C2×C4—164no—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4114yes—
1663C2×C4C22×#4114yes—
1664C2×C4C22×#4112yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×2−1+412yes—
1672C2×C4C2×2−1+412yes—
1673C2×C4C2×2−1+412yes—
1674C2×C4#58512yes—
1675C2×C4#58512yes—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—44no—
1698C22—44no—
1699C22—42no—
1700C22—42no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22C23×#4111yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×2−1+411yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—24no—
1715C4—22no—
1716C4—22no—
1717C4—24no—
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—42no—
1723C4—44no—
1724C4—42no—
1725C4—41no—
1726C4—42no—
1727C4—42no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—44no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—44no—
1740C4#350814yes—
1741C4#354714yes—
1742C2—42no—
1743C2—82no—
1744C2—82no—
1745C2—84no—
1746C2#6274811yescharacteristic
1747C2C2×#354711yescharacteristic
1748C2#6278811yescharacteristic
1749C2C2×#350811yescharacteristic
1750C2#6281611yescharacteristic
1751C2#6283011yescharacteristic
1752C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59642C2semidirect
2. #59640C2semidirect
3. #59413C2semidirect
4. #59411C2semidirect
5. #59054C2semidirect
6. #59037C2semidirect
7. #45874C2semidirect
8. #45675C2semidirect
9. #45610C2semidirect
10. #40452C2semidirect
11. #40026C2semidirect
12. #39976C2semidirect
13. #39900C2semidirect
14. #39854C2semidirect
15. #39196C2semidirect
16. #39139C2semidirect
17. #39137C2semidirect
18. #38946C2semidirect
19. #38911C2semidirect
20. #38909C2semidirect
21. #38718C2semidirect
22. #37579C2semidirect
23. #36828C2semidirect
24. #36631C2semidirect
25. #36631C2semidirect
26. #36538C2semidirect
27. #36502C2semidirect
28. #36465C2semidirect
29. #36373C2semidirect
30. #36285C2semidirect
31. #36270C2semidirect
32. #35186C2semidirect
33. #35114C2semidirect
34. #34496C2semidirect
35. C4×#533C2semidirect

Maximal subgroups

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

subgroupindex
#596422
#596402
#594132
#594112
#590542
#590372
#458742
#456752
#456102
#404522
#400262
#399762
#399002
#398542
#391962
#391392
#391372
#389462
#389112
#389092
#387182
#375792
#368282
#366312
#365382
#365022
#364652
#363732
#362852
#362702
#351862
#351142
#344962
C4×#5332