Finite Group Databasebeta

← #8464311

Subgroups — #8464311

Order 512.

5227 conjugacy classes of subgroups.

The subgroup lattice has 1769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59655C211yesmaximal, characteristic, complemented
3#59411C211yesmaximal, characteristic, complemented
4#53570C214yesmaximal, complemented
5#53522C214yesmaximal, complemented
6#53513C214yesmaximal, complemented
7#53080C212yesmaximal, complemented
8#52995C212yesmaximal, complemented
9#50682C214yesmaximal, complemented
10#45997C212yesmaximal, complemented
11#45486C212yesmaximal, complemented
12#44987C212yesmaximal, complemented
13#44952C212yesmaximal, complemented
14#42838C212yesmaximal, complemented
15#42612C212yesmaximal, complemented
16#42547C212yesmaximal, complemented
17#42529C212yesmaximal, complemented
18#40057C212yesmaximal, complemented
19#39889C212yesmaximal, complemented
20#39810C212yesmaximal, complemented
21#39745C211yesmaximal, characteristic, complemented
22#39169C211yesmaximal, characteristic, complemented
23#39168C211yesmaximal, characteristic, complemented
24#38952C211yesmaximal, characteristic, complemented
25#37699C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37346C212yesmaximal, complemented
28#37336C212yesmaximal, complemented
29#36595C211yesmaximal, characteristic, complemented
30#36457C211yesmaximal, characteristic, complemented
31#36128C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34951C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#562C2214yes—
37C2×#559C2211yescharacteristic
38C2×#559C2212yes—
39C2×Q82C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic
44C2×#547C2212yes—
45C2×#542C2212yes—
46C2×#532C2212yes—
47#2867C2211yescharacteristic
48#2860C2212yes—
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2858C2212yes—
52#2858C2212yes—
53#2857C2212yes—
54#2856C2212yes—
55#2855C2212yes—
56#2830C2214yes—
57#2829C2214yes—
58#2828C2214yes—
59#2826C2214yes—
60#2824C2214yes—
61#2824C2214yes—
62#2819C2214yes—
63#2816C2214yes—
64#2804C2214yes—
65#2797C2214yes—
66#2786C2214yes—
67#2784C2214yes—
68#2782C2214yes—
69#2780C2214yes—
70#2752C2214yes—
71#2743C2214yes—
72#2730C2214yes—
73#2729C2214yes—
74#2712C2214yes—
75#2712C2214yes—
76#2710C2214yes—
77#2710C2214yes—
78#2708C2214yes—
79#2708C2214yes—
80#2705C2214yes—
81#2703C2214yes—
82#2701C2214yes—
83#2701C2214yes—
84#2701C2214yes—
85#2699C2214yes—
86#2696C2214yes—
87#2696C2214yes—
88#2694C2214yes—
89#2693C2214yes—
90#2692C2214yes—
91#2691C2214yes—
92#2688C2214yes—
93#2686C2214yes—
94#2682C2214yes—
95#2682C2214yes—
96#2682C2214yes—
97#2681C2214yes—
98#2681C2214yes—
99#2676C2214yes—
100#2676C2214yes—
101#2676C2214yes—
102#2676C2214yes—
103#2676C2214yes—
104#2676C2214yes—
105#2674C2214yes—
106#2674C2214yes—
107#2673C2214yes—
108#2673C2214yes—
109#2672C2214yes—
110#2672C2214yes—
111#2672C2214yes—
112#2671C2214yes—
113#2665C2214yes—
114#2662C2214yes—
115#2661C2214yes—
116#2657C2212yes—
117#2649C2214yes—
118#2644C2212yes—
119#2644C2212yes—
120#2641C2212yes—
121#2640C2212yes—
122#2640C2212yes—
123#2640C2212yes—
124#2639C2214yes—
125#2638C2214yes—
126#2635C2214yes—
127#2630C2214yes—
128#2620C2212yes—
129#2602C2214yes—
130#2597C2212yes—
131#2595C2212yes—
132#2592C2211yescharacteristic
133#2585C2212yes—
134#2585C2212yes—
135#2582C2211yescharacteristic
136#2582C2211yescharacteristic
137#2580C2211yescharacteristic
138#2579C2214yes—
139#2570C2211yescharacteristic
140#2568C2211yescharacteristic
141#2567C2211yescharacteristic
142#2566C2212yes—
143#2563C2211yescharacteristic
144#2563C2212yes—
145#2557C2214yes—
146#2557C2214yes—
147#2552C2211yescharacteristic
148#2551C2211yescharacteristic
149#2550C2212yes—
150#2548C2211yescharacteristic
151#2548C2212yes—
152#2548C2212yes—
153#2548C2211yescharacteristic
154#2548C2211yescharacteristic
155#2548C2212yes—
156#2548C2212yes—
157#2546C2211yescharacteristic
158#2545C2212yes—
159#2544C2212yes—
160#2544C2212yes—
161#2544C2212yes—
162#2544C2211yescharacteristic
163#2544C2212yes—
164#2542C2212yes—
165#2541C2212yes—
166#2541C2211yescharacteristic
167#2541C2212yes—
168#2541C2212yes—
169#2541C2212yes—
170#2541C2212yes—
171#2538C2211yescharacteristic
172#2538C2211yescharacteristic
173#2537C2212yes—
174#2516C2212yes—
175#2513C2211yescharacteristic
176#2511C2211yescharacteristic
177#2511C2211yescharacteristic
178#2511C2211yescharacteristic
179#2509C2212yes—
180#2509C2212yes—
181#2501C2212yes—
182#2497C2212yes—
183#2492C2212yes—
184#2492C2212yes—
185#2491C2214yes—
186#2491C2214yes—
187#2491C2212yes—
188#2491C2212yes—
189#2491C2212yes—
190#2481C2214yes—
191#2466C2214yes—
192#2465C2214yes—
193#2464C2214yes—
194#2461C2214yes—
195#2459C2214yes—
196#2458C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2453C2212yes—
200#2453C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2452C2212yes—
207#2452C2212yes—
208#2450C2214yes—
209#2450C2214yes—
210#2448C2212yes—
211#2448C2212yes—
212#2447C2211yescharacteristic
213#2447C2212yes—
214#2447C2212yes—
215#2447C2212yes—
216#2446C2211yescharacteristic
217#2446C2211yescharacteristic
218#2445C2212yes—
219#2445C2212yes—
220#2445C2212yes—
221#2445C2212yes—
222#2445C2212yes—
223#2445C2212yes—
224#2445C2212yes—
225#2445C2211yescharacteristic
226#2445C2212yes—
227#2445C2212yes—
228#2445C2212yes—
229#2440C2212yes—
230#2432C2212yes—
231#2432C2212yes—
232#2431C2212yes—
233#2431C2212yes—
234#2431C2212yes—
235#2431C2212yes—
236#2429C2214yes—
237#2429C2212yes—
238#2428C2214yes—
239#2428C2214yes—
240#2428C2212yes—
241#2428C2212yes—
242#2427C2212yes—
243#2426C2212yes—
244#2425C2214yes—
245#2425C2214yes—
246#2422C2212yes—
247#2417C2214yes—
248#2416C2212yes—
249#2416C2212yes—
250#2416C2214yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2402C2212yes—
256#2402C2212yes—
257#2398C2212yes—
258#2395C2212yes—
259#2367C2212yes—
260#2366C2212yes—
261#2366C2212yes—
262#2366C2212yes—
263#2366C2212yes—
264#2360C2212yes—
265#2349C2212yes—
266D4×C4⋊C4C2212yes—
267#2341C2212yes—
268#2341C2212yes—
269#2339C2212yes—
270#2331C2212yes—
271#2328C2212yes—
272#2328C2212yes—
273#2326C2212yes—
274#2324C2212yes—
275#2322C2214yes—
276#2319C2212yes—
277#2311C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2211yescharacteristic
285C4×#125C2212yes—
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×#124C2212yes—
289C4×#123C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293#2295C2212yes—
294#2293C2211yescharacteristic
295#2290C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#562—416no—
303#559—44no—
304#559—48no—
305Q82—44no—
306#554—44no—
307#550—44no—
308#550—44no—
309#550—44no—
310#547—48no—
311#542—48no—
312#532—48no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2314yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#126C2314yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2311yescharacteristic
350C2×#124C2314yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2314yes—
354C2×#123C2314yes—
355C2×#123C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2311yescharacteristic
425C2×#117C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2314yes—
428C22×C42C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2314yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2312yes—
539#393C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2312yes—
562#391C2312yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2314yes—
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2314yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2314yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2311yescharacteristic
757#382C2311yescharacteristic
758#381C2312yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—24no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—42no—
879C4⋊Q8—48no—
880#127—24no—
881#127—24no—
882#127—28no—
883#127—42no—
884#127—44no—
885#127—44no—
886#127—44no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#127—44no—
892#127—82no—
893#126—48no—
894#125—28no—
895#125—44no—
896#124—28no—
897#124—24no—
898#124—48no—
899#124—44no—
900#124—44no—
901#124—48no—
902#124—48no—
903#124—42no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—48no—
909#124—82no—
910#124—84no—
911#124—82no—
912#123—216no—
913#123—28no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—84no—
922C22⋊Q8—28no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—48no—
927C22⋊Q8—48no—
928C22⋊Q8—48no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—84no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—48no—
947#121—84no—
948#121—84no—
949#121—84no—
950C4×Q8—24no—
951C4×Q8—24no—
952C4×Q8—24no—
953C4×Q8—24no—
954C4×Q8—24no—
955C4×Q8—24no—
956C4×Q8—24no—
957C4×Q8—42no—
958C4×Q8—44no—
959C4×Q8—42no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×D4—24no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—48no—
982C4×D4—48no—
983#117—44no—
984C2×C4⋊C4—48no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C42—44no—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209C24C2512yes—
1210C24C2514yes—
1211C24C2512yes—
1212C24C2514yes—
1213#41—816no—
1214#41—816no—
1215#41—816no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—41no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8H(5,𝔽2)14yes—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—28no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—42no—
1416C4⋊C4—41no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4H(5,𝔽2)14yes—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C42—22no—
1496C42—24no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—24no—
1507C42—24no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—24no—
1517C42—42no—
1518C42—42no—
1519C42—44no—
1520C42—42no—
1521C42—44no—
1522C42—41no—
1523C42—41no—
1524C42—42no—
1525C42—41no—
1526C42H(5,𝔽2)14yes—
1527C422−1+414yes—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—22no—
1532C23—24no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—22no—
1538C23—24no—
1539C23—24no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—24no—
1544C23—22no—
1545C23—24no—
1546C23—22no—
1547C23—22no—
1548C23—24no—
1549C23—24no—
1550C23—24no—
1551C23—22no—
1552C23—24no—
1553C23—24no—
1554C23—22no—
1555C23—22no—
1556C23C2611yescharacteristic
1557Q8—28no—
1558Q8—44no—
1559Q8—44no—
1560Q8—44no—
1561Q8—44no—
1562Q8—84no—
1563Q8—164no—
1564Q8—164no—
1565D4—44no—
1566D4—44no—
1567D4—48no—
1568D4—48no—
1569D4—48no—
1570D4—48no—
1571D4—84no—
1572D4—88no—
1573D4—88no—
1574D4—84no—
1575D4—84no—
1576D4—88no—
1577D4—88no—
1578D4—84no—
1579D4—88no—
1580D4—88no—
1581D4—164no—
1582D4—164no—
1583D4—164no—
1584D4—164no—
1585D4—164no—
1586D4—164no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—48no—
1668C2×C4—48no—
1669C2×C4—88no—
1670C2×C4—84no—
1671C2×C4—84no—
1672C2×C4—88no—
1673C2×C4—88no—
1674C2×C4—88no—
1675C2×C4—164no—
1676C2×C4—164no—
1677C2×C4—164no—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×H(5,𝔽2)14yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×2−1+412yes—
1687C2×C4C2×2−1+412yes—
1688C2×C4C2×2−1+412yes—
1689C2×C4#58512yes—
1690C2×C4#58512yes—
1691C22—42no—
1692C22—42no—
1693C22—44no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—44no—
1698C22—44no—
1699C22—42no—
1700C22—44no—
1701C22—44no—
1702C22—42no—
1703C22—44no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—44no—
1709C22—44no—
1710C22—42no—
1711C22—42no—
1712C22—44no—
1713C22—44no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—44no—
1718C22—44no—
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×H(5,𝔽2)11yescharacteristic
1722C22C22×2−1+411yescharacteristic
1723C22C2×#58511yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22H(7,𝔽2)11yescharacteristic
1726C4—24no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—44no—
1739C4—42no—
1740C4—41no—
1741C4—42no—
1742C4—41no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—44no—
1747C4—42no—
1748C4—41no—
1749C4—41no—
1750C4—42no—
1751C4—41no—
1752C4—41no—
1753C4—42no—
1754C4—41no—
1755C4#355414yes—
1756C4#355814yes—
1757C2—82no—
1758C2—82no—
1759C2—84no—
1760C2—84no—
1761C2C2×#355811yescharacteristic
1762C2C2×#355411yescharacteristic
1763C2#6283511yescharacteristic
1764C2#6291611yescharacteristic
1765C2#6291711yescharacteristic
1766C2#6296611yescharacteristic
1767C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59815C2semidirect
2. #59655C2semidirect
3. #59411C2semidirect
4. #53570C2semidirect
5. #53522C2semidirect
6. #53513C2semidirect
7. #53080C2semidirect
8. #52995C2semidirect
9. #50682C2semidirect
10. #45997C2semidirect
11. #45486C2semidirect
12. #44987C2semidirect
13. #44952C2semidirect
14. #42838C2semidirect
15. #42612C2semidirect
16. #42547C2semidirect
17. #42529C2semidirect
18. #40057C2semidirect
19. #39889C2semidirect
20. #39810C2semidirect
21. #39745C2semidirect
22. #39169C2semidirect
23. #39168C2semidirect
24. #38952C2semidirect
25. #37699C2semidirect
26. #37629C2semidirect
27. #37346C2semidirect
28. #37336C2semidirect
29. #36595C2semidirect
30. #36457C2semidirect
31. #36128C2semidirect
32. #35198C2semidirect
33. #35177C2semidirect
34. #34951C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#598152
#596552
#594112
#535702
#535222
#535132
#530802
#529952
#506822
#459972
#454862
#449872
#449522
#428382
#426122
#425472
#425292
#400572
#398892
#398102
#397452
#391692
#391682
#389522
#376992
#376292
#373462
#373362
#365952
#364572
#361282
#351982
#351772
#349512
#349182