Finite Group Databasebeta

← #8424449

Subgroups — #8424449

Order 512.

4609 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59642C211yesmaximal, characteristic, complemented
3#59639C211yesmaximal, characteristic, complemented
4#59083C212yesmaximal, complemented
5#59076C212yesmaximal, complemented
6#55129C214yesmaximal, complemented
7#54400C214yesmaximal, complemented
8#53120C212yesmaximal, complemented
9#53111C212yesmaximal, complemented
10#52965C212yesmaximal, complemented
11#52959C212yesmaximal, complemented
12#52598C214yesmaximal, complemented
13#42750C212yesmaximal, complemented
14#42637C212yesmaximal, complemented
15#42605C212yesmaximal, complemented
16#42436C212yesmaximal, complemented
17#41186C214yesmaximal, complemented
18#40124C212yesmaximal, complemented
19#39927C212yesmaximal, complemented
20#39590C212yesmaximal, complemented
21#39370C211yesmaximal, characteristic, complemented
22#39193C211yesmaximal, characteristic, complemented
23#39191C211yesmaximal, characteristic
24#39180C211yesmaximal, characteristic, complemented
25#37759C212yesmaximal, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37627C211yesmaximal, characteristic, complemented
28#37622C212yesmaximal, complemented
29#37504C212yesmaximal, complemented
30#36574C211yesmaximal, characteristic, complemented
31#36261C211yesmaximal, characteristic, complemented
32#36114C211yesmaximal, characteristic, complemented
33#34932C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#544C2212yes—
39C2×#533C2212yes—
40C2×#529C2212yes—
41C2×#529C2212yes—
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2212yes—
46#2851C2212yes—
47#2839C2214yes—
48#2839C2214yes—
49#2838C2214yes—
50#2837C2214yes—
51#2837C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2831C2214yes—
55#2830C2214yes—
56#2827C2214yes—
57#2826C2214yes—
58#2817C2214yes—
59#2814C2214yes—
60#2814C2214yes—
61#2809C2214yes—
62#2807C2214yes—
63#2798C2214yes—
64#2786C2214yes—
65#2779C2214yes—
66#2775C2214yes—
67#2762C2214yes—
68#2757C2214yes—
69#2755C2214yes—
70#2753C2214yes—
71#2747C2214yes—
72#2746C2214yes—
73#2744C2214yes—
74#2738C2214yes—
75#2732C2214yes—
76#2732C2214yes—
77#2729C2214yes—
78#2729C2214yes—
79#2726C2214yes—
80#2725C2214yes—
81#2723C2214yes—
82#2719C2214yes—
83#2716C2214yes—
84#2713C2214yes—
85#2711C2214yes—
86#2711C2214yes—
87#2707C2214yes—
88#2704C2214yes—
89#2704C2214yes—
90#2702C2214yes—
91#2696C2214yes—
92#2696C2214yes—
93#2694C2214yes—
94#2692C2214yes—
95#2690C2214yes—
96#2681C2214yes—
97#2677C2214yes—
98#2664C2214yes—
99#2664C2214yes—
100#2655C2214yes—
101#2652C2214yes—
102#2651C2214yes—
103#2650C2214yes—
104#2647C2212yes—
105#2646C2214yes—
106#2645C2212yes—
107#2643C2214yes—
108#2640C2212yes—
109#2638C2214yes—
110#2629C2212yes—
111#2629C2212yes—
112#2628C2214yes—
113#2628C2212yes—
114#2625C2212yes—
115#2625C2212yes—
116#2625C2212yes—
117#2624C2212yes—
118#2624C2212yes—
119#2621C2214yes—
120#2620C2212yes—
121#2597C2212yes—
122#2596C2214yes—
123#2595C2212yes—
124#2592C2211yescharacteristic
125#2592C2212yes—
126#2589C2214yes—
127#2584C2212yes—
128#2584C2212yes—
129#2584C2212yes—
130#2584C2212yes—
131#2583C2214yes—
132#2582C2212yes—
133#2582C2212yes—
134#2581C2212yes—
135#2580C2211yescharacteristic
136#2580C2212yes—
137#2570C2211yescharacteristic
138#2570C2212yes—
139#2568C2211yescharacteristic
140#2560C2214yes—
141#2556C2212yes—
142#2556C2212yes—
143#2556C2214yes—
144#2553C2214yes—
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2552C2212yes—
148#2552C2212yes—
149#2551C2211yescharacteristic
150#2551C2211yescharacteristic
151#2550C2212yes—
152#2550C2212yes—
153#2549C2214yes—
154#2547C2211yescharacteristic
155#2546C2211yescharacteristic
156#2546C2212yes—
157#2544C2211yescharacteristic
158#2542C2211yescharacteristic
159#2542C2211yescharacteristic
160#2542C2211yescharacteristic
161#2538C2211yescharacteristic
162#2538C2212yes—
163#2538C2211yescharacteristic
164#2538C2212yes—
165#2538C2212yes—
166#2538C2212yes—
167#2537C2211yescharacteristic
168#2537C2211yescharacteristic
169#2516C2212yes—
170#2513C2211yescharacteristic
171#2513C2212yes—
172#2511C2211yescharacteristic
173#2511C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2508C2212yes—
177#2508C2212yes—
178#2506C2212yes—
179#2506C2211yescharacteristic
180#2506C2211yescharacteristic
181#2506C2212yes—
182#2504C2212yes—
183#2502C2212yes—
184#2499C2212yes—
185#2497C2212yes—
186#2497C2212yes—
187#2496C2212yes—
188#2496C2212yes—
189#2495C2212yes—
190#2495C2212yes—
191#2494C2212yes—
192#2492C2212yes—
193#2492C2212yes—
194#2492C2212yes—
195#2492C2212yes—
196#2490C2212yes—
197#2490C2212yes—
198#2489C2212yes—
199#2488C2214yes—
200#2487C2212yes—
201#2485C2212yes—
202#2481C2214yes—
203#2477C2214yes—
204#2475C2214yes—
205#2475C2214yes—
206#2473C2214yes—
207#2470C2214yes—
208#2466C2214yes—
209#2463C2214yes—
210#2458C2212yes—
211#2454C2214yes—
212#2453C2212yes—
213#2453C2212yes—
214#2453C2212yes—
215#2452C2211yescharacteristic
216#2452C2211yescharacteristic
217#2452C2212yes—
218#2452C2214yes—
219#2451C2212yes—
220#2449C2214yes—
221#2448C2212yes—
222#2447C2211yescharacteristic
223#2445C2211yescharacteristic
224#2442C2212yes—
225#2442C2212yes—
226#2440C2212yes—
227#2440C2212yes—
228#2439C2212yes—
229#2429C2212yes—
230#2428C2212yes—
231#2427C2212yes—
232#2427C2212yes—
233#2426C2212yes—
234#2425C2214yes—
235#2423C2212yes—
236#2423C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2421C2212yes—
240#2421C2212yes—
241#2420C2212yes—
242#2417C2212yes—
243#2417C2212yes—
244#2416C2212yes—
245#2415C2214yes—
246#2415C2214yes—
247#2415C2214yes—
248#2414C2212yes—
249#2398C2212yes—
250#2396C2212yes—
251#2396C2212yes—
252#2395C2212yes—
253#2395C2214yes—
254#2370C2212yes—
255#2370C2212yes—
256#2367C2212yes—
257#2366C2212yes—
258#2362C2212yes—
259#2361C2212yes—
260#2361C2214yes—
261#2360C2212yes—
262#2355C2211yescharacteristic
263#2355C2212yes—
264#2354C2211yescharacteristic
265#2351C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2211yescharacteristic
271#2344C2212yes—
272#2336C2214yes—
273#2330C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#123C2212yes—
288C4×#121C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293C2×#389C2212yes—
294#2290C2212yes—
295#2285C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#554—48no—
300#554—48no—
301#544—48no—
302#533—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×#127C2311yescharacteristic
313#529—48no—
314#529—48no—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C42C2312yes—
392C22×C42C2312yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2312yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#395C2312yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2312yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2312yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2312yes—
522#393C2312yes—
523#393C2314yes—
524#393C2312yes—
525#393C2312yes—
526#392C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2314yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2314yes—
541#391C2312yes—
542#391C2314yes—
543#391C2314yes—
544#391C2314yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2312yes—
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2314yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#383C2314yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2312yes—
741#382C2314yes—
742#381C2314yes—
743#381C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—42no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—48no—
849#127—24no—
850#126—48no—
851#126—48no—
852#125—28no—
853#125—28no—
854#125—44no—
855#125—44no—
856#125—44no—
857#125—44no—
858#125—44no—
859#125—48no—
860#125—48no—
861#125—48no—
862#124—24no—
863#124—24no—
864#124—44no—
865#123—48no—
866#123—48no—
867#123—44no—
868C22⋊Q8—28no—
869C22⋊Q8—44no—
870C22⋊Q8—48no—
871C22⋊Q8—48no—
872C22⋊Q8—48no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—48no—
885#121—28no—
886#121—48no—
887#121—44no—
888#121—44no—
889#121—44no—
890C4×Q8—24no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—42no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—42no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—48no—
916#117—44no—
917#117—44no—
918#117—44no—
919#117—48no—
920#117—48no—
921#117—44no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—28no—
1060C2×C42—44no—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24C2512yes—
1168C24C2512yes—
1169C24C2512yes—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—41no—
1181C2×Q8—41no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D42−1+414yes—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2514yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—28no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—28no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4H(5,𝔽2)14yes—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C42—24no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—42no—
1427C42—42no—
1428C42—41no—
1429C42—41no—
1430C42—41no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—41no—
1436C42—41no—
1437C42—44no—
1438C42—44no—
1439C42H(5,𝔽2)14yes—
1440C422−1+414yes—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23C2×2−1+414yes—
1462C23C2611yescharacteristic
1463Q8—44no—
1464Q8—44no—
1465Q8—48no—
1466Q8—84no—
1467Q8—84no—
1468Q8—84no—
1469Q8—164no—
1470D4—28no—
1471D4—48no—
1472D4—44no—
1473D4—44no—
1474D4—88no—
1475D4—84no—
1476D4—88no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—88no—
1569C2×C4—84no—
1570C2×C4—88no—
1571C2×C4—164no—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)14yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4C2×2−1+412yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4#58512yes—
1582C2×C4#58512yes—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22C22×2−1+411yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C222−1+611yescharacteristic
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—24no—
1615C4—22no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—44no—
1621C4—42no—
1622C4—42no—
1623C4—44no—
1624C4—41no—
1625C4—41no—
1626C4—42no—
1627C4—41no—
1628C4—42no—
1629C4—41no—
1630C4—44no—
1631C4—44no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4#355214yes—
1642C4#355414yes—
1643C2—44no—
1644C2—82no—
1645C2—82no—
1646C2C2×#355211yescharacteristic
1647C2C2×#355411yescharacteristic
1648C2#6275911yescharacteristic
1649C2#6291411yescharacteristic
1650C2#6295011yescharacteristic
1651C2#6295611yescharacteristic
1652C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39191C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59823C2semidirect
2. #59642C2semidirect
3. #59639C2semidirect
4. #59083C2semidirect
5. #59076C2semidirect
6. #55129C2semidirect
7. #54400C2semidirect
8. #53120C2semidirect
9. #53111C2semidirect
10. #52965C2semidirect
11. #52959C2semidirect
12. #52598C2semidirect
13. #42750C2semidirect
14. #42637C2semidirect
15. #42605C2semidirect
16. #42436C2semidirect
17. #41186C2semidirect
18. #40124C2semidirect
19. #39927C2semidirect
20. #39590C2semidirect
21. #39370C2semidirect
22. #39193C2semidirect
24. #39180C2semidirect
25. #37759C2semidirect
26. #37631C2semidirect
27. #37627C2semidirect
28. #37622C2semidirect
29. #37504C2semidirect
30. #36574C2semidirect
31. #36261C2semidirect
32. #36114C2semidirect
33. #34932C2semidirect
34. #34929C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#598232
#596422
#596392
#590832
#590762
#551292
#544002
#531202
#531112
#529652
#529592
#525982
#427502
#426372
#426052
#424362
#411862
#401242
#399272
#395902
#393702
#391932
#391912
#391802
#377592
#376312
#376272
#376222
#375042
#365742
#362612
#361142
#349322
#349292
#349182