Finite Group Databasebeta

← #7657493

Subgroups — #7657493

Order 512.

5262 conjugacy classes of subgroups.

The subgroup lattice has 1745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42842C212yesmaximal, complemented
2#42838C212yesmaximal, complemented
3#42585C212yesmaximal, complemented
4#42565C212yesmaximal, complemented
5#42129C214yesmaximal, complemented
6#42093C214yesmaximal, complemented
7#41297C214yesmaximal, complemented
8#41282C214yesmaximal, complemented
9#39810C212yesmaximal, complemented
10#39745C211yesmaximal, characteristic, complemented
11#39726C211yesmaximal, characteristic, complemented
12#39725C211yesmaximal, characteristic, complemented
13#39672C212yesmaximal, complemented
14#39626C211yesmaximal, characteristic, complemented
15#37798C212yesmaximal, complemented
16#37792C212yesmaximal, complemented
17#37629C211yesmaximal, characteristic, complemented
18#37625C212yesmaximal, complemented
19#37625C211yesmaximal, characteristic, complemented
20#37572C212yesmaximal, complemented
21#36595C211yesmaximal, characteristic, complemented
22#36555C211yesmaximal, characteristic, complemented
23#36126C211yesmaximal, characteristic, complemented
24#36117C211yesmaximal, characteristic, complemented
25#35916C212yesmaximal, complemented
26#35912C212yesmaximal, complemented
27#35778C212yesmaximal, complemented
28#35715C212yesmaximal, complemented
29#35296C212yesmaximal, complemented
30#35278C211yesmaximal, characteristic, complemented
31#34624C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34331C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yes—
38C2×#550C2211yescharacteristic
39C2×#547C2212yes—
40C2×#540C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2212yes—
43C2×#529C2212yes—
44C2×#520C2212yes—
45#2867C2211yescharacteristic
46#2864C2212yes—
47#2859C2211yescharacteristic
48#2858C2212yes—
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2854C2212yes—
53#2837C2214yes—
54#2832C2214yes—
55#2830C2214yes—
56#2829C2214yes—
57#2829C2214yes—
58#2829C2214yes—
59#2806C2214yes—
60#2797C2214yes—
61#2792C2214yes—
62#2784C2214yes—
63#2780C2214yes—
64#2752C2214yes—
65#2748C2214yes—
66#2718C2214yes—
67#2712C2214yes—
68#2711C2214yes—
69#2710C2214yes—
70#2710C2214yes—
71#2708C2214yes—
72#2707C2214yes—
73#2701C2214yes—
74#2695C2214yes—
75#2692C2214yes—
76#2682C2214yes—
77#2681C2214yes—
78#2676C2214yes—
79#2673C2214yes—
80#2673C2214yes—
81#2672C2214yes—
82#2671C2214yes—
83#2663C2214yes—
84#2662C2214yes—
85#2662C2214yes—
86#2661C2214yes—
87#2661C2214yes—
88#2660C2212yes—
89#2657C2212yes—
90#2654C2212yes—
91#2653C2212yes—
92#2653C2214yes—
93#2653C2214yes—
94#2650C2212yes—
95#2649C2212yes—
96#2649C2214yes—
97#2647C2211yescharacteristic
98#2645C2211yescharacteristic
99#2644C2211yescharacteristic
100#2644C2212yes—
101#2644C2212yes—
102#2644C2212yes—
103#2641C2212yes—
104#2641C2212yes—
105#2640C2211yescharacteristic
106#2640C2212yes—
107#2640C2212yes—
108#2638C2214yes—
109#2630C2214yes—
110#2630C2214yes—
111#2630C2214yes—
112#2628C2211yescharacteristic
113#2625C2211yescharacteristic
114#2624C2211yescharacteristic
115#2624C2214yes—
116#2624C2212yes—
117#2620C2212yes—
118#2620C2211yescharacteristic
119#2620C2212yes—
120#2620C2214yes—
121#2619C2212yes—
122#2619C2212yes—
123#2602C2214yes—
124#2595C2214yes—
125#2595C2214yes—
126#2592C2212yes—
127#2587C2214yes—
128#2582C2211yescharacteristic
129#2582C2212yes—
130#2580C2212yes—
131#2579C2214yes—
132#2567C2212yes—
133#2564C2214yes—
134#2557C2214yes—
135#2557C2214yes—
136#2557C2214yes—
137#2557C2214yes—
138#2552C2211yescharacteristic
139#2552C2212yes—
140#2551C2211yescharacteristic
141#2550C2212yes—
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2548C2212yes—
147#2548C2212yes—
148#2545C2212yes—
149#2544C2212yes—
150#2544C2214yes—
151#2541C2211yescharacteristic
152#2541C2212yes—
153#2540C2212yes—
154#2538C2211yescharacteristic
155#2538C2212yes—
156#2522C2214yes—
157#2512C2212yes—
158#2507C2212yes—
159#2501C2212yes—
160#2497C2212yes—
161#2491C2212yes—
162#2491C2212yes—
163#2479C2214yes—
164#2477C2214yes—
165#2474C2214yes—
166#2474C2214yes—
167#2471C2214yes—
168#2471C2214yes—
169#2470C2214yes—
170#2470C2214yes—
171#2461C2214yes—
172#2459C2214yes—
173#2455C2214yes—
174#2454C2212yes—
175#2454C2212yes—
176#2454C2212yes—
177#2453C2212yes—
178#2452C2212yes—
179#2452C2212yes—
180#2452C2212yes—
181#2452C2212yes—
182#2451C2212yes—
183#2450C2214yes—
184#2449C2214yes—
185#2448C2212yes—
186#2447C2212yes—
187#2447C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2214yes—
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2443C2214yes—
198#2432C2212yes—
199#2431C2212yes—
200#2431C2212yes—
201#2430C2214yes—
202#2430C2214yes—
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2428C2212yes—
207#2428C2212yes—
208#2428C2212yes—
209#2427C2212yes—
210#2427C2212yes—
211#2427C2214yes—
212#2426C2212yes—
213#2425C2214yes—
214#2425C2214yes—
215#2423C2212yes—
216#2422C2214yes—
217#2422C2214yes—
218#2422C2212yes—
219#2416C2212yes—
220#2413C2214yes—
221#2407C2212yes—
222#2407C2214yes—
223#2401C2212yes—
224#2398C2212yes—
225#2396C2212yes—
226#2395C2212yes—
227#2392C2214yes—
228#2392C2214yes—
229#2388C2214yes—
230#2388C2214yes—
231#2370C2212yes—
232#2370C2212yes—
233#2369C2211yescharacteristic
234#2369C2211yescharacteristic
235#2368C2212yes—
236#2368C2212yes—
237#2367C2212yes—
238#2367C2212yes—
239#2366C2211yescharacteristic
240#2366C2212yes—
241#2366C2211yescharacteristic
242#2366C2212yes—
243#2365C2211yescharacteristic
244#2365C2211yescharacteristic
245#2361C2214yes—
246#2361C2212yes—
247#2361C2212yes—
248#2361C2212yes—
249#2360C2211yescharacteristic
250#2360C2211yescharacteristic
251#2360C2212yes—
252#2360C2211yescharacteristic
253#2360C2211yescharacteristic
254#2359C2214yes—
255#2355C2211yescharacteristic
256#2354C2212yes—
257#2354C2212yes—
258Q8×C4⋊C4C2211yescharacteristic
259Q8×C4⋊C4C2211yescharacteristic
260#2349C2212yes—
261D4×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2212yes—
263#2345C2212yes—
264#2341C2212yes—
265#2335C2214yes—
266#2331C2212yes—
267#2328C2212yes—
268#2328C2212yes—
269#2326C2212yes—
270#2324C2212yes—
271#2324C2214yes—
272#2324C2212yes—
273#2324C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#127C2212yes—
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2296C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2293C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301#559—28no—
302#559—48no—
303#550—28no—
304#547—48no—
305#540—48no—
306#533—28no—
307#532—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323#529—48no—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372#520—48no—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2314yes—
412C2×#117C2314yes—
413C2×#117C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2314yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420#401C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
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#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2312yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2312yes—
526#393C2314yes—
527#393C2312yes—
528#393C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#391C2312yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2314yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2314yes—
599#390C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
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#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2314yes—
731#385C2312yes—
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2314yes—
737#384C2312yes—
738#384C2312yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#382C2312yes—
742#381C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2311yescharacteristic
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—48no—
821C2×#41—48no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—84no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2414yes—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867#127—24no—
868#127—28no—
869#127—24no—
870#127—28no—
871#127—44no—
872#127—44no—
873#127—44no—
874#127—44no—
875#127—82no—
876#127—82no—
877#126—48no—
878#125—28no—
879#125—44no—
880#125—44no—
881#124—28no—
882#124—28no—
883#124—24no—
884#124—48no—
885#124—48no—
886#124—44no—
887#124—44no—
888#124—44no—
889#124—84no—
890#124—84no—
891#123—216no—
892#123—48no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—84no—
900#123—84no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—28no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—84no—
908C22⋊Q8—84no—
909#121—28no—
910#121—24no—
911#121—28no—
912#121—28no—
913#121—216no—
914#121—48no—
915#121—48no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—48no—
921#121—84no—
922#121—84no—
923#121—82no—
924#121—82no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—28no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—44no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×Q8#4118yescomplemented
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—48no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—82no—
956C4×D4—82no—
957C4×D4—84no—
958C4×D4—84no—
959#117—24no—
960#117—28no—
961#117—24no—
962#117—44no—
963#117—48no—
964#117—48no—
965#117—84no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—42no—
969C2×C4⋊C4—48no—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C42—28no—
1097C2×C42—24no—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2514yes—
1199C24C2514yes—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202#41—432no—
1203#41—832no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8C2×#4114yes—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
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—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4H(5,𝔽2)14yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2514yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4C2×#4114yes—
1410C4⋊C4C2×#4118yes—
1411C4⋊C4H(5,𝔽2)14yes—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—22no—
1483C42—24no—
1484C42—22no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—44no—
1493C42—44no—
1494C42—42no—
1495C42—44no—
1496C42—42no—
1497C42—41no—
1498C42—41no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—42no—
1503C42—41no—
1504C42—41no—
1505C42C2×#4114yes—
1506C42C2×#4118yes—
1507C422−1+414yes—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—24no—
1518C23—24no—
1519C23—24no—
1520C23—22no—
1521C23—24no—
1522C23—22no—
1523C23—22no—
1524C23—24no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—24no—
1532C23—24no—
1533C23—24no—
1534C23—22no—
1535C23C2×H(5,𝔽2)12yes—
1536C23C2611yescharacteristic
1537Q8—28no—
1538Q8—44no—
1539Q8—44no—
1540Q8—84no—
1541Q8—84no—
1542Q8—88no—
1543D4—416no—
1544D4—48no—
1545D4—48no—
1546D4—48no—
1547D4—48no—
1548D4—48no—
1549D4—44no—
1550D4—88no—
1551D4—84no—
1552D4—84no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—88no—
1558D4—88no—
1559D4—164no—
1560D4—164no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—28no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—48no—
1643C2×C4—416no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—88no—
1647C2×C4—82no—
1648C2×C4—88no—
1649C2×C4—88no—
1650C2×C4—88no—
1651C2×C4—84no—
1652C2×C4—164no—
1653C2×C4—164no—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4114yes—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)14yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4#58512yes—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—44no—
1675C22—44no—
1676C22—42no—
1677C22—44no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—44no—
1682C22—44no—
1683C22—44no—
1684C22—44no—
1685C22—42no—
1686C22—44no—
1687C22—42no—
1688C22—44no—
1689C22—44no—
1690C22—42no—
1691C22—44no—
1692C22—44no—
1693C22—44no—
1694C22—42no—
1695C22C23×#4111yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C22×2−1+411yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22H(7,𝔽2)11yescharacteristic
1701C22H(7,𝔽2)11yescharacteristic
1702C4—22no—
1703C4—24no—
1704C4—22no—
1705C4—24no—
1706C4—22no—
1707C4—24no—
1708C4—22no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—44no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—44no—
1729C4—41no—
1730C4—41no—
1731C4#346014yes—
1732C4#352214yes—
1733C2—42no—
1734C2—84no—
1735C2—82no—
1736C2—84no—
1737C2C2×#346011yescharacteristic
1738C2C2×#352211yescharacteristic
1739C2#6285811yescharacteristic
1740C2#6291211yescharacteristic
1741C2#6291711yescharacteristic
1742C2#6295511yescharacteristic
1743C2#6296211yescharacteristic
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. #42842C2semidirect
2. #42838C2semidirect
3. #42585C2semidirect
4. #42565C2semidirect
5. #42129C2semidirect
6. #42093C2semidirect
7. #41297C2semidirect
8. #41282C2semidirect
9. #39810C2semidirect
10. #39745C2semidirect
11. #39726C2semidirect
12. #39725C2semidirect
13. #39672C2semidirect
14. #39626C2semidirect
15. #37798C2semidirect
16. #37792C2semidirect
17. #37629C2semidirect
18. #37625C2semidirect
19. #37625C2semidirect
20. #37572C2semidirect
21. #36595C2semidirect
22. #36555C2semidirect
23. #36126C2semidirect
24. #36117C2semidirect
25. #35916C2semidirect
26. #35912C2semidirect
27. #35778C2semidirect
28. #35715C2semidirect
29. #35296C2semidirect
30. #35278C2semidirect
31. #34624C2semidirect
32. #34619C2semidirect
33. #34331C2semidirect
34. #34313C2semidirect
35. #34145C2semidirect
935. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#428422
#428382
#425852
#425652
#421292
#420932
#412972
#412822
#398102
#397452
#397262
#397252
#396722
#396262
#377982
#377922
#376292
#376252
#375722
#365952
#365552
#361262
#361172
#359162
#359122
#357782
#357152
#352962
#352782
#346242
#346192
#343312
#343132
#341452