Finite Group Databasebeta

← #8466940

Subgroups — #8466940

Order 512.

5744 conjugacy classes of subgroups.

The subgroup lattice has 1879 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59429C211yesmaximal, characteristic, complemented
2#59070C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#58242C214yesmaximal, complemented
5#57184C214yesmaximal, complemented
6#54884C214yesmaximal, complemented
7#52973C212yesmaximal, complemented
8#52957C212yesmaximal, complemented
9#49547C214yesmaximal, complemented
10#45608C212yesmaximal, complemented
11#45594C212yesmaximal, complemented
12#45046C212yesmaximal, complemented
13#44952C212yesmaximal, complemented
14#42547C212yesmaximal, complemented
15#42529C212yesmaximal, complemented
16#42429C212yesmaximal, complemented
17#42421C212yesmaximal, complemented
18#39745C211yesmaximal, characteristic, complemented
19#39351C211yesmaximal, characteristic, complemented
20#39341C211yesmaximal, characteristic, complemented
21#39341C212yesmaximal, complemented
22#39340C212yesmaximal, complemented
23#39137C211yesmaximal, characteristic, complemented
24#37780C212yesmaximal, complemented
25#37772C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37332C212yesmaximal, complemented
28#37316C212yesmaximal, complemented
29#36128C211yesmaximal, characteristic, complemented
30#36128C211yesmaximal, characteristic, complemented
31#36126C211yesmaximal, characteristic, complemented
32#35238C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34772C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#550C2212yes—
38C2×#550C2212yes—
39C2×#550C2211yescharacteristic
40C2×#547C2212yes—
41C2×#542C2212yes—
42C2×#537C2214yes—
43C2×#537C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2212yes—
47C2×#532C2212yes—
48C2×#532C2211yescharacteristic
49C2×#529C2211yescharacteristic
50#2867C2211yescharacteristic
51#2857C2212yes—
52#2856C2211yescharacteristic
53#2856C2212yes—
54#2856C2211yescharacteristic
55#2856C2212yes—
56#2855C2212yes—
57#2854C2212yes—
58#2850C2212yes—
59#2829C2214yes—
60#2828C2214yes—
61#2826C2214yes—
62#2824C2214yes—
63#2819C2214yes—
64#2813C2214yes—
65#2813C2214yes—
66#2813C2214yes—
67#2808C2214yes—
68#2804C2214yes—
69#2797C2214yes—
70#2788C2214yes—
71#2784C2214yes—
72#2780C2214yes—
73#2779C2214yes—
74#2752C2214yes—
75#2743C2214yes—
76#2733C2214yes—
77#2730C2214yes—
78#2723C2214yes—
79#2717C2214yes—
80#2714C2214yes—
81#2708C2214yes—
82#2705C2214yes—
83#2703C2214yes—
84#2703C2214yes—
85#2700C2214yes—
86#2699C2214yes—
87#2699C2214yes—
88#2696C2214yes—
89#2692C2214yes—
90#2691C2214yes—
91#2691C2214yes—
92#2688C2214yes—
93#2688C2214yes—
94#2686C2214yes—
95#2682C2214yes—
96#2682C2214yes—
97#2676C2214yes—
98#2676C2214yes—
99#2676C2214yes—
100#2676C2214yes—
101#2676C2214yes—
102#2676C2214yes—
103#2675C2214yes—
104#2675C2214yes—
105#2675C2214yes—
106#2673C2214yes—
107#2673C2214yes—
108#2673C2214yes—
109#2673C2214yes—
110#2673C2214yes—
111#2672C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2671C2214yes—
115#2671C2214yes—
116#2665C2214yes—
117#2662C2214yes—
118#2661C2214yes—
119#2657C2212yes—
120#2639C2214yes—
121#2635C2214yes—
122#2624C2212yes—
123#2620C2212yes—
124#2619C2212yes—
125#2619C2212yes—
126#2616C2214yes—
127#2615C2214yes—
128#2615C2212yes—
129#2615C2212yes—
130#2615C2214yes—
131#2615C2212yes—
132#2581C2212yes—
133#2579C2214yes—
134#2570C2212yes—
135#2567C2211yescharacteristic
136#2567C2211yescharacteristic
137#2566C2212yes—
138#2563C2212yes—
139#2563C2211yescharacteristic
140#2563C2211yescharacteristic
141#2559C2212yes—
142#2557C2212yes—
143#2551C2211yescharacteristic
144#2550C2211yescharacteristic
145#2548C2212yes—
146#2548C2212yes—
147#2548C2212yes—
148#2548C2211yescharacteristic
149#2544C2212yes—
150#2544C2211yescharacteristic
151#2544C2212yes—
152#2542C2212yes—
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2212yes—
156#2541C2212yes—
157#2541C2212yes—
158#2541C2211yescharacteristic
159#2541C2212yes—
160#2541C2212yes—
161#2541C2212yes—
162#2540C2212yes—
163#2540C2211yescharacteristic
164#2538C2212yes—
165#2538C2211yescharacteristic
166#2537C2212yes—
167#2537C2212yes—
168#2537C2212yes—
169#2537C2212yes—
170#2535C2211yescharacteristic
171#2522C2212yes—
172#2521C2212yes—
173#2520C2212yes—
174#2512C2212yes—
175#2511C2211yescharacteristic
176#2509C2212yes—
177#2507C2211yescharacteristic
178#2505C2212yes—
179#2502C2211yescharacteristic
180#2497C2212yes—
181#2497C2212yes—
182#2497C2212yes—
183#2497C2211yescharacteristic
184#2492C2211yescharacteristic
185#2492C2212yes—
186#2492C2211yescharacteristic
187#2491C2212yes—
188#2491C2212yes—
189#2490C2211yescharacteristic
190#2487C2211yescharacteristic
191#2467C2214yes—
192#2465C2214yes—
193#2465C2214yes—
194#2464C2214yes—
195#2464C2212yes—
196#2461C2214yes—
197#2456C2214yes—
198#2454C2212yes—
199#2452C2212yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2450C2214yes—
204#2450C2214yes—
205#2450C2212yes—
206#2448C2212yes—
207#2447C2212yes—
208#2447C2212yes—
209#2445C2212yes—
210#2445C2212yes—
211#2440C2212yes—
212#2440C2211yescharacteristic
213#2431C2212yes—
214#2431C2212yes—
215#2431C2214yes—
216#2431C2212yes—
217#2431C2212yes—
218#2431C2214yes—
219#2430C2214yes—
220#2430C2214yes—
221#2430C2214yes—
222#2430C2214yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2214yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2211yescharacteristic
233#2428C2212yes—
234#2428C2212yes—
235#2428C2212yes—
236#2428C2212yes—
237#2427C2211yescharacteristic
238#2427C2212yes—
239#2427C2212yes—
240#2426C2212yes—
241#2422C2212yes—
242#2422C2212yes—
243#2422C2212yes—
244#2422C2212yes—
245#2420C2212yes—
246#2417C2214yes—
247#2417C2211yescharacteristic
248#2416C2212yes—
249#2416C2212yes—
250#2416C2214yes—
251#2416C2212yes—
252#2416C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2407C2214yes—
256#2407C2214yes—
257#2406C2214yes—
258#2402C2212yes—
259#2396C2212yes—
260#2395C2212yes—
261#2388C2212yes—
262#2377C2214yes—
263#2367C2212yes—
264#2366C2211yescharacteristic
265#2366C2212yes—
266#2366C2212yes—
267#2366C2212yes—
268#2366C2211yescharacteristic
269#2361C2212yes—
270Q8×C4⋊C4C2211yescharacteristic
271#2349C2212yes—
272D4×C4⋊C4C2211yescharacteristic
273D4×C4⋊C4C2212yes—
274D4×C4⋊C4C2212yes—
275#2345C2212yes—
276#2339C2212yes—
277#2331C2212yes—
278#2328C2212yes—
279#2324C2212yes—
280#2324C2212yes—
281#2324C2212yes—
282#2319C2212yes—
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2297C2212yes—
293#2295C2211yescharacteristic
294#2290C2212yes—
295#2285C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2314yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305#559—44no—
306#550—48no—
307#550—44no—
308#550—48no—
309#547—48no—
310#542—48no—
311#537—48no—
312#537—416no—
313#532—44no—
314#532—44no—
315#532—44no—
316#532—48no—
317#532—48no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2314yes—
335C2×#127C2311yescharacteristic
336C2×#127C2312yes—
337#529—44no—
338C2×#126C2312yes—
339C2×#126C2314yes—
340C2×#125C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2311yescharacteristic
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#124C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2311yescharacteristic
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2314yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454C22×C42C2312yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2312yes—
459#400C2314yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2312yes—
469#399C2312yes—
470#398C2314yes—
471#398C2312yes—
472#398C2312yes—
473#398C2312yes—
474#398C2312yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2312yes—
505#395C2312yes—
506#395C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2312yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2312yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2314yes—
587#391C2314yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
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#386C2312yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2312yes—
744#385C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2311yescharacteristic
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2314yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2314yes—
781#380C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820#376C2312yes—
821C2×#95C2314yes—
822C2×#95C2312yes—
823C43C2311yescharacteristic
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—48no—
827C2×#41—48no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—48no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—48no—
835C2×#41—48no—
836C2×#41—44no—
837C2×#41—48no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—82no—
841C2×#41—82no—
842C22×Q8C2411yescharacteristic
843C22×Q8C2411yescharacteristic
844C22×Q8C2412yes—
845C22×Q8C2412yes—
846C22×Q8C2414yes—
847C22×Q8C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C4⋊Q8—24no—
899C4⋊Q8—28no—
900C4⋊Q8—24no—
901C4⋊Q8—42no—
902C4⋊Q8—44no—
903#127—24no—
904#127—24no—
905#127—28no—
906#127—44no—
907#127—42no—
908#127—44no—
909#127—44no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—48no—
916#127—82no—
917#126—44no—
918#126—48no—
919#125—42no—
920#124—24no—
921#124—44no—
922#124—42no—
923#124—44no—
924#124—44no—
925#124—44no—
926#124—44no—
927#124—44no—
928#124—48no—
929#124—48no—
930#124—48no—
931#123—44no—
932#123—48no—
933#123—48no—
934#123—48no—
935#123—48no—
936#123—84no—
937#123—84no—
938C22⋊Q8—24no—
939C22⋊Q8—24no—
940C22⋊Q8—28no—
941C22⋊Q8—48no—
942C22⋊Q8—48no—
943C22⋊Q8—48no—
944C22⋊Q8—48no—
945C22⋊Q8—48no—
946C22⋊Q8—42no—
947C22⋊Q8—42no—
948C22⋊Q8—44no—
949C22⋊Q8—48no—
950#121—24no—
951#121—28no—
952#121—28no—
953#121—216no—
954#121—44no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—44no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—42no—
973#121—42no—
974#121—42no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—48no—
983#121—48no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—48no—
989#121—44no—
990#121—84no—
991#121—84no—
992#121—84no—
993#121—84no—
994C4×Q8—24no—
995C4×Q8—24no—
996C4×Q8—44no—
997C4×Q8—44no—
998C4×Q8—44no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—42no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—48no—
1022C4×D4—48no—
1023C4×D4—48no—
1024#117—44no—
1025#117—44no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4—24no—
1028C2×C4⋊C4—42no—
1029C2×C4⋊C4—48no—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—44no—
1159C2×C42—44no—
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241C24C2511yescharacteristic
1242C24C2512yes—
1243C24C2514yes—
1244C24C2514yes—
1245C24C2512yes—
1246C24C2511yescharacteristic
1247#41—816no—
1248#41—832no—
1249#41—832no—
1250#41—816no—
1251#41—816no—
1252#41—816no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—22no—
1258C2×Q8—24no—
1259C2×Q8—24no—
1260C2×Q8—28no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—42no—
1264C2×Q8—42no—
1265C2×Q8—42no—
1266C2×Q8—44no—
1267C2×Q8—42no—
1268C2×Q8—44no—
1269C2×Q8—42no—
1270C2×Q8—42no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—28no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—28no—
1300C2×D4—28no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—41no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—28no—
1380C22×C4—24no—
1381C22×C4—28no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—28no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—24no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2514yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—41no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4H(5,𝔽2)14yes—
1506C4⋊C4H(5,𝔽2)14yes—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—22no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4H(5,𝔽2)14yes—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—24no—
1584C42—24no—
1585C42—24no—
1586C42—24no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—24no—
1591C42—22no—
1592C42—42no—
1593C42—42no—
1594C42—42no—
1595C42—42no—
1596C42—44no—
1597C42—44no—
1598C42—41no—
1599C42H(5,𝔽2)14yes—
1600C422−1+414yes—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—22no—
1610C23—24no—
1611C23—24no—
1612C23—24no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—24no—
1617C23—24no—
1618C23—22no—
1619C23—21no—
1620C23—24no—
1621C23—22no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—24no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—22no—
1630C23—24no—
1631C23—24no—
1632C23—24no—
1633C23—21no—
1634C23—24no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—22no—
1639C23—24no—
1640C23—22no—
1641C23—24no—
1642C23C2×H(5,𝔽2)12yes—
1643C23C2611yescharacteristic
1644Q8—48no—
1645Q8—48no—
1646Q8—44no—
1647Q8—44no—
1648Q8—88no—
1649Q8—84no—
1650D4—44no—
1651D4—48no—
1652D4—48no—
1653D4—48no—
1654D4—44no—
1655D4—48no—
1656D4—44no—
1657D4—48no—
1658D4—88no—
1659D4—84no—
1660D4—88no—
1661D4—88no—
1662D4—88no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—88no—
1667D4—88no—
1668D4—88no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—88no—
1674D4—88no—
1675D4—88no—
1676D4—164no—
1677D4—164no—
1678D4—164no—
1679D4—164no—
1680D4—164no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—416no—
1756C2×C4—48no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—84no—
1767C2×C4—88no—
1768C2×C4—88no—
1769C2×C4—88no—
1770C2×C4—84no—
1771C2×C4—88no—
1772C2×C4—88no—
1773C2×C4—164no—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)14yes—
1777C2×C4C2×H(5,𝔽2)14yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×2−1+412yes—
1784C2×C4C2×2−1+412yes—
1785C2×C4C2×2−1+412yes—
1786C2×C4#58512yes—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—42no—
1797C22—44no—
1798C22—44no—
1799C22—42no—
1800C22—44no—
1801C22—42no—
1802C22—44no—
1803C22—41no—
1804C22—41no—
1805C22—42no—
1806C22—44no—
1807C22—42no—
1808C22—44no—
1809C22—41no—
1810C22—44no—
1811C22—44no—
1812C22—42no—
1813C22—42no—
1814C22—41no—
1815C22—44no—
1816C22—44no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—44no—
1821C22—44no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—44no—
1826C22—42no—
1827C22—44no—
1828C22—41no—
1829C22C22×H(5,𝔽2)11yescharacteristic
1830C22C22×H(5,𝔽2)11yescharacteristic
1831C22C22×H(5,𝔽2)11yescharacteristic
1832C22C22×H(5,𝔽2)11yescharacteristic
1833C22C22×2−1+411yescharacteristic
1834C22C2×#58511yescharacteristic
1835C22H(7,𝔽2)11yescharacteristic
1836C4—24no—
1837C4—24no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—41no—
1844C4—42no—
1845C4—41no—
1846C4—42no—
1847C4—42no—
1848C4—42no—
1849C4—42no—
1850C4—44no—
1851C4—41no—
1852C4—41no—
1853C4—42no—
1854C4—41no—
1855C4—44no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—41no—
1863C4#354614yes—
1864C4#354814yes—
1865C2—42no—
1866C2—82no—
1867C2—81no—
1868C2—82no—
1869C2—84no—
1870C2—84no—
1871C2C2×#354611yescharacteristic
1872C2C2×#354811yescharacteristic
1873C2#6283511yescharacteristic
1874C2#6291211yescharacteristic
1875C2#6291711yescharacteristic
1876C2#6292311yescharacteristic
1877C2#6301111yescharacteristic
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. #59429C2semidirect
2. #59070C2semidirect
3. #59039C2semidirect
4. #58242C2semidirect
5. #57184C2semidirect
6. #54884C2semidirect
7. #52973C2semidirect
8. #52957C2semidirect
9. #49547C2semidirect
10. #45608C2semidirect
11. #45594C2semidirect
12. #45046C2semidirect
13. #44952C2semidirect
14. #42547C2semidirect
15. #42529C2semidirect
16. #42429C2semidirect
17. #42421C2semidirect
18. #39745C2semidirect
19. #39351C2semidirect
20. #39341C2semidirect
21. #39341C2semidirect
22. #39340C2semidirect
23. #39137C2semidirect
24. #37780C2semidirect
25. #37772C2semidirect
26. #37639C2semidirect
27. #37332C2semidirect
28. #37316C2semidirect
29. #36128C2semidirect
30. #36128C2semidirect
31. #36126C2semidirect
32. #35238C2semidirect
33. #35177C2semidirect
34. #34889C2semidirect
35. #34772C2semidirect

Maximal subgroups

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

subgroupindex
#594292
#590702
#590392
#582422
#571842
#548842
#529732
#529572
#495472
#456082
#455942
#450462
#449522
#425472
#425292
#424292
#424212
#397452
#393512
#393412
#393402
#391372
#377802
#377722
#376392
#373322
#373162
#361282
#361262
#352382
#351772
#348892
#347722