Finite Group Databasebeta

← #7647138

Subgroups — #7647138

Order 512.

4583 conjugacy classes of subgroups.

The subgroup lattice has 1635 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42844C212yesmaximal, complemented
2#42831C212yesmaximal, complemented
3#42771C212yesmaximal, complemented
4#42743C212yesmaximal, complemented
5#41902C214yesmaximal, complemented
6#41844C214yesmaximal, complemented
7#39754C211yesmaximal, characteristic, complemented
8#39727C211yesmaximal, characteristic, complemented
9#39674C212yesmaximal, complemented
10#39634C211yesmaximal, characteristic, complemented
11#39596C211yesmaximal, characteristic, complemented
12#39284C212yesmaximal
13#39167C211yesmaximal, characteristic, complemented
14#39146C211yesmaximal, characteristic, complemented
15#38984C211yesmaximal, characteristic, complemented
16#38930C211yesmaximal, characteristic, complemented
17#38273C212yesmaximal, complemented
18#38237C212yesmaximal, complemented
19#37638C212yesmaximal, complemented
20#37588C212yesmaximal, complemented
21#37184C214yesmaximal, complemented
22#37161C214yesmaximal, complemented
23#35648C212yesmaximal, complemented
24#35635C212yesmaximal, complemented
25#35291C211yesmaximal, characteristic, complemented
26#35245C212yesmaximal, complemented
27#35244C212yesmaximal, complemented
28#35219C212yesmaximal, complemented
29#35209C211yesmaximal, characteristic, complemented
30#35203C212yesmaximal, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34914C211yesmaximal, characteristic
33#34322C211yesmaximal, characteristic, complemented
34C4×D4×Q8C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#541C2212yes—
39C2×#533C2211yescharacteristic
40C2×#529C2212yes—
41C22×C4×Q8C2212yes—
42#2862C2211yescharacteristic
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2853C2214yes—
49#2853C2214yes—
50#2852C2214yes—
51#2851C2214yes—
52#2838C2214yes—
53#2837C2214yes—
54#2833C2214yes—
55#2833C2214yes—
56#2802C2214yes—
57#2798C2214yes—
58#2793C2214yes—
59#2788C2214yes—
60#2788C2214yes—
61#2780C2214yes—
62#2780C2214yes—
63#2779C2214yes—
64#2778C2214yes—
65#2775C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2773C2214yes—
69#2770C2214yes—
70#2768C2214yes—
71#2768C2214yes—
72#2767C2214yes—
73#2767C2214yes—
74#2763C2214yes—
75#2762C2214yes—
76#2753C2214yes—
77#2750C2214yes—
78#2746C2214yes—
79#2745C2214yes—
80#2743C2214yes—
81#2738C2214yes—
82#2725C2214yes—
83#2723C2214yes—
84#2723C2214yes—
85#2720C2214yes—
86#2702C2214yes—
87#2692C2214yes—
88#2665C2214yes—
89#2664C2214yes—
90#2660C2212yes—
91#2653C2214yes—
92#2653C2214yes—
93#2652C2214yes—
94#2649C2214yes—
95#2649C2214yes—
96#2647C2212yes—
97#2647C2214yes—
98#2647C2212yes—
99#2645C2212yes—
100#2645C2212yes—
101#2645C2214yes—
102#2645C2212yes—
103#2640C2212yes—
104#2637C2214yes—
105#2634C2214yes—
106#2634C2214yes—
107#2632C2214yes—
108#2628C2212yes—
109#2625C2212yes—
110#2620C2212yes—
111#2604C2214yes—
112#2604C2214yes—
113#2592C2212yes—
114#2591C2214yes—
115#2589C2214yes—
116#2584C2212yes—
117#2583C2214yes—
118#2582C2212yes—
119#2581C2212yes—
120#2581C2212yes—
121#2580C2212yes—
122#2578C2214yes—
123#2576C2214yes—
124#2576C2214yes—
125#2575C2214yes—
126#2573C2214yes—
127#2572C2214yes—
128#2571C2212yes—
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2568C2211yescharacteristic
132#2568C2212yes—
133#2567C2212yes—
134#2567C2212yes—
135#2562C2212yes—
136#2560C2212yes—
137#2559C2214yes—
138#2559C2212yes—
139#2558C2212yes—
140#2558C2214yes—
141#2557C2212yes—
142#2556C2214yes—
143#2553C2214yes—
144#2552C2211yescharacteristic
145#2547C2211yescharacteristic
146#2546C2211yescharacteristic
147#2544C2212yes—
148#2542C2211yescharacteristic
149#2542C2212yes—
150#2538C2211yescharacteristic
151#2538C2211yescharacteristic
152#2536C2212yes—
153#2536C2212yes—
154#2533C2214yes—
155#2531C2214yes—
156#2530C2214yes—
157#2527C2214yes—
158#2521C2214yes—
159#2519C2214yes—
160#2519C2214yes—
161#2515C2214yes—
162#2514C2214yes—
163#2514C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2512C2211yescharacteristic
167#2512C2212yes—
168#2511C2212yes—
169#2509C2212yes—
170#2508C2212yes—
171#2508C2212yes—
172#2506C2211yescharacteristic
173#2506C2214yes—
174#2506C2212yes—
175#2503C2212yes—
176#2497C2212yes—
177#2496C2214yes—
178#2496C2211yescharacteristic
179#2495C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2494C2212yes—
183#2492C2212yes—
184#2491C2211yescharacteristic
185#2489C2212yes—
186#2489C2212yes—
187#2487C2212yes—
188#2487C2212yes—
189#2487C2212yes—
190#2481C2214yes—
191#2473C2214yes—
192#2469C2214yes—
193#2462C2214yes—
194#2454C2212yes—
195#2454C2212yes—
196#2453C2212yes—
197#2453C2212yes—
198#2452C2211yescharacteristic
199#2451C2212yes—
200#2447C2212yes—
201#2446C2212yes—
202#2445C2211yescharacteristic
203#2442C2212yes—
204#2439C2212yes—
205#2434C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2428C2211yescharacteristic
209#2427C2212yes—
210#2423C2212yes—
211#2422C2211yescharacteristic
212#2421C2212yes—
213#2421C2212yes—
214#2421C2212yes—
215#2420C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2415C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2409C2212yes—
223#2409C2212yes—
224#2409C2212yes—
225#2401C2214yes—
226#2398C2212yes—
227#2392C2212yes—
228#2373C2214yes—
229#2367C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2212yes—
233#2360C2212yes—
234#2360C2212yes—
235#2360C2214yes—
236#2355C2211yescharacteristic
237#2351C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242#2346C2212yes—
243Q8×C22⋊C4C2212yes—
244#2336C2212yes—
245#2336C2212yes—
246#2334C2214yes—
247#2332C2212yes—
248#2332C2212yes—
249#2331C2211yescharacteristic
250#2331C2211yescharacteristic
251#2330C2212yes—
252#2328C2212yes—
253#2327C2211yescharacteristic
254#2327C2211yescharacteristic
255#2326C2212yes—
256#2326C2212yes—
257#2324C2212yes—
258#2323C2212yes—
259#2323C2211yescharacteristic
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2323C2211yescharacteristic
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2320C2212yes—
267#2320C2212yes—
268#2319C2212yes—
269C4×C4⋊Q8C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×#127C2211yescharacteristic
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2214yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281#2298C2212yes—
282#2298C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2290C2212yes—
291#2283C2211yescharacteristic
292#2283C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#556—28no—
301D4×Q8—28no—
302#541—48no—
303#533—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×C4×Q8—48no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2314yes—
384#401C2314yes—
385#401C2314yes—
386#401C2314yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2312yes—
480#393C2312yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#392C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2314yes—
708#384C2312yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#383C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2314yes—
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#382C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2314yes—
811#376C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2414yes—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—42no—
848C4⋊Q8—44no—
849#127—24no—
850#126—216no—
851#126—44no—
852#126—44no—
853#126—48no—
854#126—48no—
855#125—28no—
856#125—44no—
857#125—44no—
858#125—48no—
859#125—44no—
860#125—48no—
861#124—28no—
862#124—28no—
863#124—44no—
864#123—44no—
865#123—44no—
866C22⋊Q8—24no—
867C22⋊Q8—28no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879#121—24no—
880#121—44no—
881#121—42no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—48no—
889C4×Q8—44no—
890C4×Q8—48no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8#4118yes—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909#117—28no—
910#117—28no—
911#117—24no—
912#117—28no—
913#117—42no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—48no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C42—24no—
1037C2×C42—28no—
1038C2×C42—48no—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2511yescharacteristic
1162C24C2512yes—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—28no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—432no—
1184C2×Q8C2×#4114yes—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D42−1+414yes—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4C2×#4114yes—
1340C4⋊C4C2×#4118yes—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—22no—
1353C22⋊C4—24no—
1354C22⋊C4—22no—
1355C22⋊C4—24no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—24no—
1388C42—28no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—28no—
1394C42—22no—
1395C42—24no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—44no—
1406C42—44no—
1407C42—42no—
1408C42—44no—
1409C42—41no—
1410C42—41no—
1411C42—42no—
1412C42—41no—
1413C42—41no—
1414C42—42no—
1415C42—42no—
1416C42—44no—
1417C42—42no—
1418C42—44no—
1419C42—42no—
1420C42C2×#4114yes—
1421C42C2×#4118yes—
1422C42H(5,𝔽2)14yes—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23C2×2−1+414yes—
1444C23C2611yescharacteristic
1445Q8—28no—
1446Q8—416no—
1447Q8—44no—
1448Q8—48no—
1449Q8—48no—
1450Q8—84no—
1451Q8—84no—
1452D4—28no—
1453D4—44no—
1454D4—84no—
1455D4—84no—
1456D4—84no—
1457D4—84no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—48no—
1544C2×C4—416no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—48no—
1548C2×C4—44no—
1549C2×C4—82no—
1550C2×C4—84no—
1551C2×C4—88no—
1552C2×C4—164no—
1553C2×C4C22×#4114yes—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C2×C4C2×H(5,𝔽2)12yes—
1560C2×C4C2×H(5,𝔽2)12yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4#58512yes—
1563C2×C4#58512yes—
1564C22—24no—
1565C22—24no—
1566C22—24no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—41no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—42no—
1576C22—41no—
1577C22—41no—
1578C22—42no—
1579C22—42no—
1580C22—41no—
1581C22—41no—
1582C22—42no—
1583C22—42no—
1584C22—41no—
1585C22C23×#4111yescharacteristic
1586C22C22×H(5,𝔽2)11yescharacteristic
1587C22C22×2−1+411yescharacteristic
1588C22C2×#58511yescharacteristic
1589C22C2×#58511yescharacteristic
1590C222−1+611yescharacteristic
1591C222−1+611yescharacteristic
1592C4—22no—
1593C4—24no—
1594C4—24no—
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—44no—
1599C4—41no—
1600C4—42no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—44no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—41no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4—44no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—44no—
1621C4—42no—
1622C4#346014yes—
1623C4#351614yes—
1624C2—44no—
1625C2—81no—
1626C2—82no—
1627C2C2×#346011yescharacteristic
1628C2C2×#351611yescharacteristic
1629C2#6286111yescharacteristic
1630C2#6294211yescharacteristic
1631C2#6295011yescharacteristic
1632C2#6296011yescharacteristic
1633C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2428C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42844C2semidirect
2. #42831C2semidirect
3. #42771C2semidirect
4. #42743C2semidirect
5. #41902C2semidirect
6. #41844C2semidirect
7. #39754C2semidirect
8. #39727C2semidirect
9. #39674C2semidirect
10. #39634C2semidirect
11. #39596C2semidirect
13. #39167C2semidirect
14. #39146C2semidirect
15. #38984C2semidirect
16. #38930C2semidirect
17. #38273C2semidirect
18. #38237C2semidirect
19. #37638C2semidirect
20. #37588C2semidirect
21. #37184C2semidirect
22. #37161C2semidirect
23. #35648C2semidirect
24. #35635C2semidirect
25. #35291C2semidirect
26. #35245C2semidirect
27. #35244C2semidirect
28. #35219C2semidirect
29. #35209C2semidirect
30. #35203C2semidirect
31. #34945C2semidirect
33. #34322C2semidirect
34. C4×D4×Q8C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#428442
#428312
#427712
#427432
#419022
#418442
#397542
#397272
#396742
#396342
#395962
#392842
#391672
#391462
#389842
#389302
#382732
#382372
#376382
#375882
#371842
#371612
#356482
#356352
#352912
#352452
#352442
#352192
#352092
#352032
#349452
#349142
#343222
C4×D4×Q82
#340852