Finite Group Databasebeta

← #8458939

Subgroups — #8458939

Order 512.

4707 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59647C211yesmaximal, characteristic, complemented
3#59646C211yesmaximal, characteristic, complemented
4#58630C214yesmaximal, complemented
5#57126C214yesmaximal, complemented
6#55726C214yesmaximal, complemented
7#53083C212yesmaximal, complemented
8#52974C212yesmaximal, complemented
9#48902C214yesmaximal, complemented
10#46068C212yesmaximal, complemented
11#45653C212yesmaximal, complemented
12#45077C212yesmaximal, complemented
13#44941C212yesmaximal, complemented
14#42799C212yesmaximal, complemented
15#42556C212yesmaximal, complemented
16#42545C212yesmaximal, complemented
17#42439C212yesmaximal, complemented
18#40197C212yesmaximal, complemented
19#40121C212yesmaximal, complemented
20#39625C211yesmaximal, characteristic, complemented
21#39377C211yesmaximal, characteristic, complemented
22#39370C211yesmaximal, characteristic, complemented
23#39351C212yesmaximal, complemented
24#39298C212yesmaximal, complemented
25#39194C211yesmaximal, characteristic, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37304C212yesmaximal, complemented
28#37287C212yesmaximal, complemented
29#36559C211yesmaximal, characteristic, complemented
30Q8×#125C211yesmaximal, characteristic, complemented
31#36477C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic
34#34941C211yesmaximal, characteristic, complemented
35#34902C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#554C2212yes—
38C2×#544C2212yes—
39C2×#542C2212yes—
40C2×#542C2212yes—
41C2×#540C2212yes—
42#2868C2211yescharacteristic
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2859C2212yes—
47#2858C2212yes—
48#2856C2212yes—
49#2855C2212yes—
50#2854C2212yes—
51#2838C2214yes—
52#2837C2214yes—
53#2831C2214yes—
54#2830C2214yes—
55#2829C2214yes—
56#2827C2214yes—
57#2823C2214yes—
58#2814C2214yes—
59#2803C2214yes—
60#2801C2214yes—
61#2800C2214yes—
62#2800C2214yes—
63#2797C2214yes—
64#2793C2214yes—
65#2793C2214yes—
66#2792C2214yes—
67#2787C2214yes—
68#2787C2214yes—
69#2786C2214yes—
70#2775C2214yes—
71#2765C2214yes—
72#2746C2214yes—
73#2737C2214yes—
74#2734C2214yes—
75#2731C2214yes—
76#2729C2214yes—
77#2727C2214yes—
78#2723C2214yes—
79#2723C2214yes—
80#2722C2214yes—
81#2720C2214yes—
82#2718C2214yes—
83#2718C2214yes—
84#2705C2214yes—
85#2705C2214yes—
86#2704C2214yes—
87#2702C2214yes—
88#2701C2214yes—
89#2695C2214yes—
90#2694C2214yes—
91#2694C2214yes—
92#2692C2214yes—
93#2689C2214yes—
94#2687C2214yes—
95#2686C2214yes—
96#2683C2214yes—
97#2681C2214yes—
98#2681C2214yes—
99#2681C2214yes—
100#2680C2214yes—
101#2677C2214yes—
102#2674C2214yes—
103#2674C2214yes—
104#2674C2214yes—
105#2672C2214yes—
106#2672C2214yes—
107#2672C2214yes—
108#2662C2214yes—
109#2662C2214yes—
110#2661C2214yes—
111#2660C2212yes—
112#2649C2214yes—
113#2644C2212yes—
114#2641C2212yes—
115#2630C2214yes—
116#2630C2214yes—
117#2629C2212yes—
118#2628C2212yes—
119#2624C2212yes—
120#2624C2212yes—
121#2620C2214yes—
122#2620C2212yes—
123#2618C2214yes—
124#2608C2214yes—
125#2602C2214yes—
126#2601C2214yes—
127#2600C2214yes—
128#2596C2212yes—
129#2594C2214yes—
130#2594C2212yes—
131#2592C2211yescharacteristic
132#2587C2214yes—
133#2581C2211yescharacteristic
134#2574C2212yes—
135#2574C2212yes—
136#2570C2211yescharacteristic
137#2570C2212yes—
138#2567C2212yes—
139#2567C2211yescharacteristic
140#2566C2212yes—
141#2566C2212yes—
142#2566C2212yes—
143#2563C2211yescharacteristic
144#2563C2212yes—
145#2556C2214yes—
146#2552C2212yes—
147#2552C2212yes—
148#2552C2211yescharacteristic
149#2552C2211yescharacteristic
150#2552C2211yescharacteristic
151#2551C2211yescharacteristic
152#2551C2212yes—
153#2551C2212yes—
154#2550C2212yes—
155#2548C2212yes—
156#2548C2211yescharacteristic
157#2548C2211yescharacteristic
158#2546C2212yes—
159#2545C2211yescharacteristic
160#2544C2212yes—
161#2542C2212yes—
162#2542C2214yes—
163#2541C2211yescharacteristic
164#2541C2211yescharacteristic
165#2538C2212yes—
166#2538C2212yes—
167#2538C2211yescharacteristic
168#2538C2212yes—
169#2538C2212yes—
170#2538C2211yescharacteristic
171#2538C2211yescharacteristic
172#2537C2211yescharacteristic
173#2525C2212yes—
174#2521C2214yes—
175#2514C2211yescharacteristic
176#2513C2212yes—
177#2513C2212yes—
178#2512C2214yes—
179#2512C2212yes—
180#2512C2211yescharacteristic
181#2512C2212yes—
182#2508C2211yescharacteristic
183#2508C2211yescharacteristic
184#2507C2212yes—
185#2507C2214yes—
186#2507C2214yes—
187#2507C2212yes—
188#2507C2212yes—
189#2506C2212yes—
190#2504C2212yes—
191#2501C2212yes—
192#2500C2212yes—
193#2500C2212yes—
194#2497C2212yes—
195#2497C2212yes—
196#2496C2212yes—
197#2494C2212yes—
198#2494C2212yes—
199#2491C2214yes—
200#2491C2212yes—
201#2491C2212yes—
202#2490C2212yes—
203#2490C2212yes—
204#2490C2212yes—
205#2490C2212yes—
206#2478C2214yes—
207#2469C2212yes—
208#2464C2214yes—
209#2461C2214yes—
210#2454C2211yescharacteristic
211#2454C2211yescharacteristic
212#2454C2212yes—
213#2452C2212yes—
214#2452C2212yes—
215#2452C2212yes—
216#2452C2212yes—
217#2452C2212yes—
218#2452C2212yes—
219#2451C2212yes—
220#2449C2214yes—
221#2448C2212yes—
222#2448C2212yes—
223#2448C2211yescharacteristic
224#2447C2212yes—
225#2446C2211yescharacteristic
226#2445C2212yes—
227#2445C2212yes—
228#2445C2212yes—
229#2442C2212yes—
230#2441C2212yes—
231#2440C2214yes—
232#2440C2212yes—
233#2439C2212yes—
234#2429C2212yes—
235#2428C2212yes—
236#2428C2212yes—
237#2427C2212yes—
238#2426C2212yes—
239#2426C2212yes—
240#2423C2212yes—
241#2423C2212yes—
242#2422C2212yes—
243#2422C2214yes—
244#2422C2212yes—
245#2422C2212yes—
246#2422C2212yes—
247#2420C2212yes—
248#2415C2214yes—
249#2413C2214yes—
250#2401C2212yes—
251#2396C2212yes—
252#2396C2212yes—
253#2396C2212yes—
254#2376C2214yes—
255#2370C2212yes—
256#2367C2212yes—
257#2366C2212yes—
258#2363C2212yes—
259#2361C2212yes—
260#2357C2212yes—
261#2355C2211yescharacteristic
262#2354C2211yescharacteristic
263#2354C2212yes—
264Q8×C4⋊C4C2212yes—
265Q8×C4⋊C4C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272#2335C2214yes—
273#2330C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2323C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285C4×#126C2212yes—
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2212yes—
290#2298C2212yes—
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2285C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#556—48no—
300#554—48no—
301#544—48no—
302#542—48no—
303#542—48no—
304#540—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C42C2312yes—
398#401C2314yes—
399#401C2312yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2312yes—
416#399C2314yes—
417#399C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#395C2312yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
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#393C2312yes—
514#393C2312yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2314yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2314yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2314yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2314yes—
733#384C2312yes—
734#383C2312yes—
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2312yes—
744#381C2314yes—
745#381C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846C4⋊Q8—48no—
847C4⋊Q8—84no—
848C4⋊Q8—82no—
849#127—24no—
850#127—44no—
851#127—44no—
852#126—48no—
853#126—48no—
854#126—48no—
855#126—44no—
856#126—48no—
857#125—24no—
858#125—24no—
859#125—28no—
860#125—44no—
861#125—44no—
862#125—44no—
863#125—48no—
864#124—24no—
865#124—28no—
866#124—48no—
867#124—48no—
868#124—42no—
869#124—44no—
870#124—84no—
871#123—48no—
872#123—48no—
873#123—48no—
874#123—48no—
875#123—48no—
876#123—48no—
877#123—84no—
878C22⋊Q8—28no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889C22⋊Q8—84no—
890#121—28no—
891#121—48no—
892#121—48no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—84no—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—82no—
923C4×D4—82no—
924C4×D4—84no—
925#117—28no—
926#117—44no—
927#117—44no—
928#117—48no—
929#117—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—48no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C42—44no—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2514yes—
1173C24C2512yes—
1174C24C2512yes—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—41no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8H(5,𝔽2)14yes—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C42−1+414yes—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—28no—
1421C42—24no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—42no—
1437C42—42no—
1438C42—44no—
1439C42—44no—
1440C42—41no—
1441C42—41no—
1442C42—44no—
1443C42—44no—
1444C42—41no—
1445C42—41no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42H(5,𝔽2)14yes—
1451C422−1+414yes—
1452C23—24no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23—22no—
1463C23—24no—
1464C23—22no—
1465C23—22no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—22no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23C2611yescharacteristic
1474Q8—28no—
1475Q8—44no—
1476Q8—44no—
1477Q8—84no—
1478Q8—164no—
1479Q8—164no—
1480D4—48no—
1481D4—48no—
1482D4—44no—
1483D4—44no—
1484D4—48no—
1485D4—88no—
1486D4—164no—
1487D4—164no—
1488D4—164no—
1489D4—164no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—48no—
1575C2×C4—48no—
1576C2×C4—88no—
1577C2×C4—84no—
1578C2×C4—88no—
1579C2×C4—84no—
1580C2×C4—164no—
1581C2×C4—164no—
1582C2×C4C2×H(5,𝔽2)14yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C2×C4C2×H(5,𝔽2)12yes—
1585C2×C4C2×H(5,𝔽2)12yes—
1586C2×C4C2×H(5,𝔽2)12yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4C2×2−1+414yes—
1589C2×C4C2×2−1+412yes—
1590C2×C4C2×2−1+412yes—
1591C2×C4C2×2−1+412yes—
1592C2×C4#58512yes—
1593C2×C4#58512yes—
1594C22—42no—
1595C22—44no—
1596C22—42no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—44no—
1601C22—42no—
1602C22—42no—
1603C22—44no—
1604C22—42no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—42no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—44no—
1615C22C22×H(5,𝔽2)11yescharacteristic
1616C22C22×H(5,𝔽2)11yescharacteristic
1617C22C22×2−1+411yescharacteristic
1618C22C22×2−1+411yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22H(7,𝔽2)11yescharacteristic
1622C4—24no—
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—24no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—44no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—44no—
1641C4—41no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4#355014yes—
1653C4#355914yes—
1654C2—82no—
1655C2—82no—
1656C2—84no—
1657C2C2×#355911yescharacteristic
1658C2C2×#355011yescharacteristic
1659C2#6283011yescharacteristic
1660C2#6291611yescharacteristic
1661C2#6292611yescharacteristic
1662C2#6295111yescharacteristic
1663C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35171C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59821C2semidirect
2. #59647C2semidirect
3. #59646C2semidirect
4. #58630C2semidirect
5. #57126C2semidirect
6. #55726C2semidirect
7. #53083C2semidirect
8. #52974C2semidirect
9. #48902C2semidirect
10. #46068C2semidirect
11. #45653C2semidirect
12. #45077C2semidirect
13. #44941C2semidirect
14. #42799C2semidirect
15. #42556C2semidirect
16. #42545C2semidirect
17. #42439C2semidirect
18. #40197C2semidirect
19. #40121C2semidirect
20. #39625C2semidirect
21. #39377C2semidirect
22. #39370C2semidirect
23. #39351C2semidirect
24. #39298C2semidirect
25. #39194C2semidirect
26. #37625C2semidirect
27. #37304C2semidirect
28. #37287C2semidirect
29. #36559C2semidirect
30. Q8×#125C2semidirect
31. #36477C2semidirect
32. #35198C2semidirect
34. #34941C2semidirect
35. #34902C2semidirect

Maximal subgroups

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

subgroupindex
#598212
#596472
#596462
#586302
#571262
#557262
#530832
#529742
#489022
#460682
#456532
#450772
#449412
#427992
#425562
#425452
#424392
#401972
#401212
#396252
#393772
#393702
#393512
#392982
#391942
#376252
#373042
#372872
#365592
Q8×#1252
#364772
#351982
#351712
#349412
#349022