Finite Group Databasebeta

← #8466973

Subgroups — #8466973

Order 512.

5207 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59666C211yesmaximal, characteristic, complemented
2#59465C211yesmaximal, characteristic, complemented
3#59458C211yesmaximal, characteristic, complemented
4#58242C214yesmaximal, complemented
5#54940C214yesmaximal, complemented
6#54272C214yesmaximal, complemented
7#53106C212yesmaximal, complemented
8#52964C212yesmaximal, complemented
9#49634C214yesmaximal, complemented
10#45610C212yesmaximal, complemented
11#45594C212yesmaximal, complemented
12#45100C212yesmaximal, complemented
13#45034C212yesmaximal, complemented
14#42881C212yesmaximal, complemented
15#42571C212yesmaximal, complemented
16#42540C212yesmaximal, complemented
17#42429C212yesmaximal, complemented
18#39470C212yesmaximal, complemented
19#39387C211yesmaximal, characteristic, complemented
20#39386C211yesmaximal, characteristic, complemented
21#39202C211yesmaximal, characteristic, complemented
22#39202C211yesmaximal, characteristic, complemented
23#38909C212yesmaximal, complemented
24#37797C212yesmaximal, complemented
25#37792C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37315C212yesmaximal, complemented
28#37301C212yesmaximal, complemented
29#36595C211yesmaximal, characteristic, complemented
30#36128C211yesmaximal, characteristic, complemented
31#36115C211yesmaximal, characteristic, complemented
32#35171C211yesmaximal, characteristic, complemented
33#35170C211yesmaximal, characteristic, complemented
34#34893C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#554C2212yes—
38C2×#550C2212yes—
39C2×#542C2212yes—
40C2×#542C2212yes—
41C2×#540C2212yes—
42C2×#540C2212yes—
43C2×#532C2212yes—
44C2×#529C2212yes—
45#2867C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2857C2212yes—
49#2856C2212yes—
50#2856C2212yes—
51#2854C2212yes—
52#2854C2212yes—
53#2850C2212yes—
54#2837C2214yes—
55#2829C2214yes—
56#2828C2214yes—
57#2827C2214yes—
58#2824C2214yes—
59#2819C2214yes—
60#2816C2214yes—
61#2813C2214yes—
62#2808C2214yes—
63#2802C2214yes—
64#2797C2214yes—
65#2797C2214yes—
66#2784C2214yes—
67#2779C2214yes—
68#2752C2214yes—
69#2752C2214yes—
70#2743C2214yes—
71#2732C2214yes—
72#2730C2214yes—
73#2727C2214yes—
74#2724C2214yes—
75#2723C2214yes—
76#2717C2214yes—
77#2710C2214yes—
78#2710C2214yes—
79#2706C2214yes—
80#2705C2214yes—
81#2705C2214yes—
82#2705C2214yes—
83#2701C2214yes—
84#2700C2214yes—
85#2700C2214yes—
86#2696C2214yes—
87#2692C2214yes—
88#2691C2214yes—
89#2691C2214yes—
90#2691C2214yes—
91#2691C2214yes—
92#2686C2214yes—
93#2682C2214yes—
94#2682C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2681C2214yes—
98#2681C2214yes—
99#2681C2214yes—
100#2676C2214yes—
101#2676C2214yes—
102#2676C2214yes—
103#2676C2214yes—
104#2673C2214yes—
105#2673C2214yes—
106#2672C2214yes—
107#2671C2214yes—
108#2671C2214yes—
109#2671C2214yes—
110#2671C2214yes—
111#2663C2214yes—
112#2662C2214yes—
113#2661C2214yes—
114#2639C2214yes—
115#2636C2214yes—
116#2635C2214yes—
117#2624C2214yes—
118#2624C2212yes—
119#2624C2212yes—
120#2624C2212yes—
121#2624C2212yes—
122#2620C2212yes—
123#2619C2212yes—
124#2619C2212yes—
125#2619C2212yes—
126#2616C2214yes—
127#2589C2212yes—
128#2589C2212yes—
129#2587C2212yes—
130#2587C2212yes—
131#2584C2211yescharacteristic
132#2584C2211yescharacteristic
133#2582C2212yes—
134#2581C2212yes—
135#2580C2212yes—
136#2580C2211yescharacteristic
137#2580C2211yescharacteristic
138#2571C2211yescharacteristic
139#2566C2211yescharacteristic
140#2566C2211yescharacteristic
141#2565C2212yes—
142#2564C2214yes—
143#2563C2212yes—
144#2563C2212yes—
145#2552C2211yescharacteristic
146#2551C2211yescharacteristic
147#2550C2212yes—
148#2550C2211yescharacteristic
149#2550C2211yescharacteristic
150#2548C2212yes—
151#2548C2212yes—
152#2548C2212yes—
153#2548C2212yes—
154#2548C2212yes—
155#2548C2212yes—
156#2548C2212yes—
157#2547C2211yescharacteristic
158#2544C2212yes—
159#2544C2212yes—
160#2544C2212yes—
161#2544C2212yes—
162#2542C2211yescharacteristic
163#2542C2212yes—
164#2541C2211yescharacteristic
165#2541C2211yescharacteristic
166#2541C2211yescharacteristic
167#2541C2212yes—
168#2541C2212yes—
169#2541C2211yescharacteristic
170#2541C2212yes—
171#2540C2214yes—
172#2538C2212yes—
173#2537C2211yescharacteristic
174#2522C2212yes—
175#2522C2212yes—
176#2521C2214yes—
177#2520C2214yes—
178#2512C2212yes—
179#2512C2212yes—
180#2509C2211yescharacteristic
181#2509C2211yescharacteristic
182#2508C2212yes—
183#2507C2212yes—
184#2507C2211yescharacteristic
185#2507C2211yescharacteristic
186#2496C2212yes—
187#2492C2212yes—
188#2491C2212yes—
189#2490C2212yes—
190#2490C2212yes—
191#2490C2212yes—
192#2486C2214yes—
193#2479C2214yes—
194#2471C2214yes—
195#2467C2214yes—
196#2465C2212yes—
197#2465C2212yes—
198#2464C2214yes—
199#2461C2214yes—
200#2455C2214yes—
201#2454C2212yes—
202#2454C2212yes—
203#2454C2212yes—
204#2454C2211yescharacteristic
205#2454C2211yescharacteristic
206#2452C2212yes—
207#2452C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2452C2212yes—
211#2452C2211yescharacteristic
212#2452C2211yescharacteristic
213#2449C2214yes—
214#2448C2212yes—
215#2448C2212yes—
216#2447C2212yes—
217#2447C2212yes—
218#2445C2212yes—
219#2445C2212yes—
220#2445C2212yes—
221#2445C2212yes—
222#2445C2212yes—
223#2445C2212yes—
224#2445C2212yes—
225#2445C2212yes—
226#2443C2214yes—
227#2431C2214yes—
228#2430C2214yes—
229#2428C2214yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yes—
233#2428C2212yes—
234#2428C2212yes—
235#2428C2212yes—
236#2428C2212yes—
237#2428C2212yes—
238#2427C2212yes—
239#2427C2212yes—
240#2427C2212yes—
241#2426C2212yes—
242#2426C2212yes—
243#2425C2214yes—
244#2422C2212yes—
245#2420C2212yes—
246#2420C2212yes—
247#2420C2212yes—
248#2420C2212yes—
249#2419C2214yes—
250#2416C2214yes—
251#2415C2214yes—
252#2407C2214yes—
253#2396C2212yes—
254#2396C2212yes—
255#2396C2212yes—
256#2396C2212yes—
257#2377C2214yes—
258#2370C2212yes—
259#2366C2211yescharacteristic
260#2366C2212yes—
261#2366C2212yes—
262#2366C2211yescharacteristic
263#2366C2211yescharacteristic
264#2366C2211yescharacteristic
265#2366C2212yes—
266#2366C2212yes—
267#2365C2211yescharacteristic
268#2365C2211yescharacteristic
269#2354C2212yes—
270#2351C2212yes—
271#2349C2212yes—
272#2349C2212yes—
273D4×C4⋊C4C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2323C2212yes—
278#2311C2214yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#125C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2212yes—
290#2296C2212yes—
291#2296C2212yes—
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2314yes—
300#559—48no—
301#554—48no—
302#550—48no—
303#542—48no—
304#542—48no—
305#540—48no—
306#540—48no—
307#532—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325#529—48no—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2311yescharacteristic
332C2×#125C2312yes—
333C2×#125C2311yescharacteristic
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×#117C2312yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C22×C4⋊C4C2314yes—
423C22×C42C2312yes—
424C22×C42C2312yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2312yes—
431#400C2312yes—
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2312yes—
441#399C2314yes—
442#399C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#395C2312yes—
489#395C2312yes—
490#395C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
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#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#393C2312yes—
533#393C2314yes—
534#393C2314yes—
535#393C2312yes—
536#393C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
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#386C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2314yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2312yes—
753#382C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—48no—
820C2×#41—48no—
821C2×#41—48no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865#127—28no—
866#127—24no—
867#127—24no—
868#127—44no—
869#127—44no—
870#127—44no—
871#127—44no—
872#127—44no—
873#127—44no—
874#127—44no—
875#127—44no—
876#127—82no—
877#126—48no—
878#126—48no—
879#126—48no—
880#125—24no—
881#125—28no—
882#125—24no—
883#125—24no—
884#125—42no—
885#124—48no—
886#124—44no—
887#124—44no—
888#124—44no—
889#124—44no—
890#124—44no—
891#124—48no—
892#124—48no—
893#124—48no—
894#123—48no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—48no—
903C22⋊Q8—28no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—48no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—44no—
912C22⋊Q8—84no—
913C22⋊Q8—84no—
914#121—28no—
915#121—48no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—48no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—84no—
934#121—84no—
935#121—84no—
936#121—84no—
937C4×Q8—28no—
938C4×Q8—24no—
939C4×Q8—42no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—42no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—24no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—44no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—82no—
967C4×D4—82no—
968#117—28no—
969#117—44no—
970#117—44no—
971#117—44no—
972#117—48no—
973C2×C4⋊C4—48no—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C42—44no—
1110C2×C42—44no—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
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#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24C2512yes—
1202C24C2512yes—
1203C24C2514yes—
1204C24C2514yes—
1205#41—832no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—28no—
1296C22×C4—24no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—28no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4H(5,𝔽2)14yes—
1423C4⋊C4H(5,𝔽2)14yes—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—28no—
1500C42—22no—
1501C42—24no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42—42no—
1509C42—44no—
1510C42—41no—
1511C42—41no—
1512C42—41no—
1513C42—41no—
1514C42—44no—
1515C42—41no—
1516C42H(5,𝔽2)14yes—
1517C422−1+414yes—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—24no—
1522C23—24no—
1523C23—24no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—24no—
1533C23—24no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—24no—
1540C23—24no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—22no—
1545C23—22no—
1546C23C2611yescharacteristic
1547Q8—48no—
1548Q8—44no—
1549Q8—48no—
1550Q8—84no—
1551Q8—164no—
1552D4—44no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—44no—
1557D4—48no—
1558D4—88no—
1559D4—88no—
1560D4—84no—
1561D4—84no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—164no—
1567D4—164no—
1568D4—164no—
1569D4—164no—
1570D4—164no—
1571D4—164no—
1572D4—164no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—416no—
1655C2×C4—48no—
1656C2×C4—48no—
1657C2×C4—48no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—88no—
1661C2×C4—84no—
1662C2×C4—164no—
1663C2×C4—164no—
1664C2×C4—164no—
1665C2×C4—164no—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4C2×H(5,𝔽2)14yes—
1669C2×C4C2×H(5,𝔽2)14yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×2−1+412yes—
1674C2×C4C2×2−1+412yes—
1675C2×C4C2×2−1+412yes—
1676C2×C4#58512yes—
1677C2×C4#58512yes—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—44no—
1686C22—42no—
1687C22—44no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—44no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—44no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—44no—
1702C22—44no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C22×H(5,𝔽2)11yescharacteristic
1709C22C22×2−1+411yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22C2×#58511yescharacteristic
1712C22H(7,𝔽2)11yescharacteristic
1713C4—24no—
1714C4—24no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—22no—
1719C4—42no—
1720C4—42no—
1721C4—44no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—42no—
1727C4—42no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—41no—
1732C4—41no—
1733C4—42no—
1734C4—44no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—41no—
1742C4#354814yes—
1743C4#355414yes—
1744C2—82no—
1745C2—82no—
1746C2—84no—
1747C2—84no—
1748C2C2×#355411yescharacteristic
1749C2C2×#354811yescharacteristic
1750C2#6283611yescharacteristic
1751C2#6291611yescharacteristic
1752C2#6292311yescharacteristic
1753C2#6296211yescharacteristic
1754C2#6301211yescharacteristic
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. #59666C2semidirect
2. #59465C2semidirect
3. #59458C2semidirect
4. #58242C2semidirect
5. #54940C2semidirect
6. #54272C2semidirect
7. #53106C2semidirect
8. #52964C2semidirect
9. #49634C2semidirect
10. #45610C2semidirect
11. #45594C2semidirect
12. #45100C2semidirect
13. #45034C2semidirect
14. #42881C2semidirect
15. #42571C2semidirect
16. #42540C2semidirect
17. #42429C2semidirect
18. #39470C2semidirect
19. #39387C2semidirect
20. #39386C2semidirect
21. #39202C2semidirect
22. #39202C2semidirect
23. #38909C2semidirect
24. #37797C2semidirect
25. #37792C2semidirect
26. #37626C2semidirect
27. #37315C2semidirect
28. #37301C2semidirect
29. #36595C2semidirect
30. #36128C2semidirect
31. #36115C2semidirect
32. #35171C2semidirect
33. #35170C2semidirect
34. #34893C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#596662
#594652
#594582
#582422
#549402
#542722
#531062
#529642
#496342
#456102
#455942
#451002
#450342
#428812
#425712
#425402
#424292
#394702
#393872
#393862
#392022
#389092
#377972
#377922
#376262
#373152
#373012
#365952
#361282
#361152
#351712
#351702
#348932