Finite Group Databasebeta

← #8195248

Subgroups — #8195248

Order 512.

4705 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59871C211yesmaximal, characteristic, complemented
2#59827C212yesmaximal, complemented
3#59641C211yesmaximal, characteristic, complemented
4#59458C211yesmaximal, characteristic, complemented
5#59437C211yesmaximal, characteristic, complemented
6#59155C212yesmaximal, complemented
7#56652C214yesmaximal, complemented
8#55422C214yesmaximal, complemented
9#53130C212yesmaximal, complemented
10#52999C212yesmaximal, complemented
11#49958C214yesmaximal, complemented
12#47430C214yesmaximal, complemented
13#46343C212yesmaximal, complemented
14#45715C212yesmaximal, complemented
15#45051C212yesmaximal, complemented
16#45039C212yesmaximal, complemented
17#42682C212yesmaximal, complemented
18#42599C212yesmaximal, complemented
19#42572C212yesmaximal, complemented
20#42441C212yesmaximal, complemented
21#40191C212yesmaximal, complemented
22#40165C212yesmaximal, complemented
23#39736C211yesmaximal, characteristic, complemented
24#39626C211yesmaximal, characteristic, complemented
25#39350C211yesmaximal, characteristic, complemented
26#39213C212yesmaximal, complemented
27#39134C212yesmaximal, complemented
28#38987C211yesmaximal, characteristic, complemented
29#36481C211yesmaximal, characteristic, complemented
30#36472C211yesmaximal, characteristic
31#36469C211yesmaximal, characteristic, complemented
32D4×#125C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#34978C211yesmaximal, characteristic, complemented
35#34969C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2212yes—
38C2×#554C2212yes—
39C2×#553C2212yes—
40C2×#542C2212yes—
41C22×#125C2212yes—
42#2863C2212yes—
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2851C2212yes—
50#2838C2214yes—
51#2836C2214yes—
52#2834C2214yes—
53#2832C2214yes—
54#2831C2214yes—
55#2814C2214yes—
56#2814C2214yes—
57#2806C2214yes—
58#2806C2214yes—
59#2800C2214yes—
60#2792C2214yes—
61#2788C2214yes—
62#2787C2214yes—
63#2786C2214yes—
64#2773C2214yes—
65#2770C2214yes—
66#2764C2214yes—
67#2761C2214yes—
68#2759C2214yes—
69#2757C2214yes—
70#2757C2214yes—
71#2745C2214yes—
72#2740C2214yes—
73#2737C2214yes—
74#2724C2214yes—
75#2724C2214yes—
76#2723C2214yes—
77#2721C2214yes—
78#2721C2214yes—
79#2720C2214yes—
80#2720C2214yes—
81#2718C2214yes—
82#2717C2214yes—
83#2716C2214yes—
84#2715C2214yes—
85#2712C2214yes—
86#2710C2214yes—
87#2710C2214yes—
88#2707C2214yes—
89#2704C2214yes—
90#2698C2214yes—
91#2695C2214yes—
92#2694C2214yes—
93#2694C2214yes—
94#2692C2214yes—
95#2691C2214yes—
96#2689C2214yes—
97#2689C2214yes—
98#2680C2214yes—
99#2672C2214yes—
100#2672C2214yes—
101#2660C2212yes—
102#2654C2214yes—
103#2653C2214yes—
104#2644C2212yes—
105#2644C2212yes—
106#2638C2214yes—
107#2630C2214yes—
108#2625C2212yes—
109#2624C2212yes—
110#2623C2214yes—
111#2620C2212yes—
112#2618C2214yes—
113#2612C2212yes—
114#2612C2212yes—
115#2606C2214yes—
116#2603C2214yes—
117#2602C2214yes—
118#2596C2214yes—
119#2592C2212yes—
120#2584C2212yes—
121#2584C2212yes—
122#2582C2212yes—
123#2582C2212yes—
124#2582C2212yes—
125#2580C2212yes—
126#2580C2212yes—
127#2577C2214yes—
128#2571C2211yescharacteristic
129#2567C2212yes—
130#2567C2212yes—
131#2566C2212yes—
132#2557C2214yes—
133#2556C2214yes—
134#2552C2211yescharacteristic
135#2552C2212yes—
136#2552C2211yescharacteristic
137#2552C2211yescharacteristic
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2551C2211yescharacteristic
142#2551C2211yescharacteristic
143#2550C2212yes—
144#2548C2211yescharacteristic
145#2547C2212yes—
146#2547C2211yescharacteristic
147#2547C2212yes—
148#2547C2212yes—
149#2547C2214yes—
150#2546C2211yescharacteristic
151#2545C2212yes—
152#2544C2212yes—
153#2542C2212yes—
154#2541C2211yescharacteristic
155#2530C2212yes—
156#2527C2212yes—
157#2522C2214yes—
158#2521C2214yes—
159#2514C2212yes—
160#2513C2212yes—
161#2513C2212yes—
162#2512C2212yes—
163#2512C2212yes—
164#2511C2211yescharacteristic
165#2509C2211yescharacteristic
166#2507C2212yes—
167#2507C2214yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2501C2212yes—
172#2501C2214yes—
173#2496C2212yes—
174#2495C2212yes—
175#2494C2212yes—
176#2494C2211yescharacteristic
177#2492C2211yescharacteristic
178#2491C2212yes—
179#2491C2212yes—
180#2490C2212yes—
181#2490C2212yes—
182#2490C2212yes—
183#2486C2214yes—
184#2486C2214yes—
185#2486C2212yes—
186#2477C2212yes—
187#2473C2214yes—
188#2473C2214yes—
189#2473C2214yes—
190#2470C2212yes—
191#2466C2214yes—
192#2464C2214yes—
193#2461C2214yes—
194#2455C2214yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2452C2212yes—
199#2452C2212yes—
200#2452C2212yes—
201#2452C2211yescharacteristic
202#2451C2212yes—
203#2451C2212yes—
204#2449C2214yes—
205#2449C2214yes—
206#2449C2214yes—
207#2448C2212yes—
208#2448C2212yes—
209#2448C2212yes—
210#2447C2212yes—
211#2447C2214yes—
212#2447C2212yes—
213#2447C2214yes—
214#2447C2212yes—
215#2447C2211yescharacteristic
216#2447C2212yes—
217#2446C2212yes—
218#2445C2212yes—
219#2442C2212yes—
220#2442C2212yes—
221#2442C2212yes—
222#2441C2212yes—
223#2441C2212yes—
224#2441C2211yescharacteristic
225#2441C2211yescharacteristic
226#2440C2212yes—
227#2439C2211yescharacteristic
228#2439C2211yescharacteristic
229#2439C2212yes—
230#2429C2212yes—
231#2428C2212yes—
232#2427C2212yes—
233#2427C2211yescharacteristic
234#2426C2212yes—
235#2423C2212yes—
236#2422C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2422C2211yescharacteristic
240#2420C2212yes—
241#2420C2212yes—
242#2417C2214yes—
243#2414C2212yes—
244#2401C2212yes—
245#2398C2212yes—
246#2396C2212yes—
247#2396C2212yes—
248#2383C2214yes—
249#2370C2212yes—
250#2369C2212yes—
251#2367C2212yes—
252#2367C2212yes—
253#2366C2211yescharacteristic
254#2366C2211yescharacteristic
255#2365C2211yescharacteristic
256#2365C2211yescharacteristic
257#2361C2212yes—
258#2361C2212yes—
259#2355C2211yescharacteristic
260Q8×C4⋊C4C2211yescharacteristic
261Q8×C4⋊C4C2212yes—
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2212yes—
264D4×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2212yes—
266D4×C4⋊C4C2214yes—
267D4×C4⋊C4C2212yes—
268#2347C2212yes—
269#2345C2212yes—
270#2332C2214yes—
271#2331C2212yes—
272#2324C2212yes—
273#2324C2212yes—
274#2322C2214yes—
275#2319C2212yes—
276#2319C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2212yes—
285C4×#125C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2212yes—
288C4×#124C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2211yescharacteristic
291C4×#123C2212yes—
292C4×#121C2212yes—
293C4×#121C2211yescharacteristic
294#2295C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#559—48no—
300#559—48no—
301#554—48no—
302#553—48no—
303#542—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125—48no—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2312yes—
396#401C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2312yes—
490#395C2314yes—
491#395C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2312yes—
507#393C2312yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2312yes—
513#392C2314yes—
514#392C2314yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2314yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2311yescharacteristic
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2314yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2314yes—
726#383C2314yes—
727#383C2314yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809#376C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845C4⋊Q8—42no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849#127—28no—
850#127—24no—
851#126—48no—
852#126—48no—
853#126—48no—
854#125—24no—
855#125—28no—
856#125—24no—
857#125—44no—
858#125—44no—
859#125—44no—
860#125—48no—
861#125—48no—
862#125—44no—
863#124—28no—
864#124—24no—
865#124—44no—
866#124—44no—
867#124—44no—
868#124—48no—
869#124—48no—
870#124—48no—
871#123—44no—
872#123—48no—
873#123—48no—
874#123—48no—
875#123—48no—
876#123—48no—
877#123—48no—
878#123—48no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—42no—
886C22⋊Q8—44no—
887#121—24no—
888#121—28no—
889#121—44no—
890#121—48no—
891#121—44no—
892#121—44no—
893#121—44no—
894C4×Q8—24no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—48no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4—48no—
919#117—24no—
920#117—24no—
921#117—44no—
922#117—42no—
923#117—42no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—48no—
928C2×C4⋊C4—48no—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—24no—
1060C2×C42—44no—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2511yescharacteristic
1170C24C2514yes—
1171C24C2512yes—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×D4—28no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4H(5,𝔽2)14yes—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—41no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4H(5,𝔽2)14yes—
1360C4⋊C42−1+414yes—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—42no—
1432C42—42no—
1433C42—41no—
1434C42—41no—
1435C42—41no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—44no—
1442C422−1+414yes—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—24no—
1451C23—21no—
1452C23—24no—
1453C23—21no—
1454C23—24no—
1455C23—21no—
1456C23—24no—
1457C23—21no—
1458C23—24no—
1459C23—24no—
1460C23—24no—
1461C23—21no—
1462C23—21no—
1463C23C2×H(5,𝔽2)14yes—
1464C23C2611yescharacteristic
1465Q8—48no—
1466Q8—44no—
1467Q8—84no—
1468Q8—84no—
1469Q8—84no—
1470Q8—164no—
1471D4—28no—
1472D4—416no—
1473D4—48no—
1474D4—48no—
1475D4—84no—
1476D4—88no—
1477D4—84no—
1478D4—164no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—44no—
1565C2×C4—48no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—88no—
1569C2×C4—88no—
1570C2×C4—84no—
1571C2×C4—88no—
1572C2×C4—84no—
1573C2×C4—164no—
1574C2×C4—164no—
1575C2×C4C2×H(5,𝔽2)14yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4C2×2−1+414yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4C2×2−1+412yes—
1582C2×C4C2×2−1+412yes—
1583C2×C4#58512yes—
1584C2×C4#58512yes—
1585C2×C4#58512yes—
1586C22—24no—
1587C22—24no—
1588C22—24no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—41no—
1594C22—44no—
1595C22—44no—
1596C22—41no—
1597C22—41no—
1598C22—44no—
1599C22—44no—
1600C22—41no—
1601C22—44no—
1602C22—41no—
1603C22—41no—
1604C22—44no—
1605C22—41no—
1606C22—44no—
1607C22C22×H(5,𝔽2)11yescharacteristic
1608C22C22×H(5,𝔽2)11yescharacteristic
1609C22C22×2−1+411yescharacteristic
1610C22C22×2−1+411yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C4—24no—
1615C4—24no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—41no—
1620C4—42no—
1621C4—44no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4—44no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—44no—
1639C4—42no—
1640C4—41no—
1641C4—42no—
1642C4—41no—
1643C4—42no—
1644C4#355014yes—
1645C4#355914yes—
1646C2—44no—
1647C2—81no—
1648C2—84no—
1649C2C2×#355911yescharacteristic
1650C2C2×#355011yescharacteristic
1651C2#6283111yescharacteristic
1652C2#6301311yescharacteristic
1653C2#6301411yescharacteristic
1654C2#6302111yescharacteristic
1655C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36472C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59871C2semidirect
2. #59827C2semidirect
3. #59641C2semidirect
4. #59458C2semidirect
5. #59437C2semidirect
6. #59155C2semidirect
7. #56652C2semidirect
8. #55422C2semidirect
9. #53130C2semidirect
10. #52999C2semidirect
11. #49958C2semidirect
12. #47430C2semidirect
13. #46343C2semidirect
14. #45715C2semidirect
15. #45051C2semidirect
16. #45039C2semidirect
17. #42682C2semidirect
18. #42599C2semidirect
19. #42572C2semidirect
20. #42441C2semidirect
21. #40191C2semidirect
22. #40165C2semidirect
23. #39736C2semidirect
24. #39626C2semidirect
25. #39350C2semidirect
26. #39213C2semidirect
27. #39134C2semidirect
28. #38987C2semidirect
29. #36481C2semidirect
31. #36469C2semidirect
32. D4×#125C2semidirect
33. #35288C2semidirect
34. #34978C2semidirect
35. #34969C2semidirect

Maximal subgroups

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

subgroupindex
#598712
#598272
#596412
#594582
#594372
#591552
#566522
#554222
#531302
#529992
#499582
#474302
#463432
#457152
#450512
#450392
#426822
#425992
#425722
#424412
#401912
#401652
#397362
#396262
#393502
#392132
#391342
#389872
#364812
#364722
#364692
D4×#1252
#352882
#349782
#349692