Finite Group Databasebeta

← #8429257

Subgroups — #8429257

Order 512.

4814 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59871C211yesmaximal, characteristic, complemented
2#59592C212yesmaximal, complemented
3#59556C212yesmaximal, complemented
4#59151C211yesmaximal, characteristic, complemented
5#59070C211yesmaximal, characteristic, complemented
6#57619C214yesmaximal, complemented
7#57237C214yesmaximal, complemented
8#53127C212yesmaximal, complemented
9#53101C212yesmaximal, complemented
10#53082C212yesmaximal, complemented
11#53056C212yesmaximal, complemented
12#52326C214yesmaximal, complemented
13#42842C212yesmaximal, complemented
14#42838C212yesmaximal, complemented
15#42746C212yesmaximal, complemented
16#42731C212yesmaximal, complemented
17#40503C214yesmaximal, complemented
18#39688C212yesmaximal, complemented
19#39674C212yesmaximal, complemented
20#39404C212yesmaximal, complemented
21#39400C212yesmaximal, complemented
22#39201C211yesmaximal, characteristic, complemented
23#39168C211yesmaximal, characteristic, complemented
24#39147C211yesmaximal, characteristic, complemented
25#39137C211yesmaximal, characteristic, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37632C211yesmaximal, characteristic, complemented
28#37629C212yesmaximal, complemented
29#37521C212yesmaximal, complemented
30#36456C211yesmaximal, characteristic, complemented
31#36287C211yesmaximal, characteristic, complemented
32#36122C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#548C2212yes—
39C2×#539C2214yes—
40C2×#532C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2859C2212yes—
45#2858C2211yescharacteristic
46#2857C2212yes—
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2838C2214yes—
50#2837C2214yes—
51#2836C2214yes—
52#2832C2214yes—
53#2831C2214yes—
54#2830C2214yes—
55#2830C2214yes—
56#2829C2214yes—
57#2829C2214yes—
58#2827C2214yes—
59#2821C2214yes—
60#2820C2214yes—
61#2816C2214yes—
62#2814C2214yes—
63#2806C2214yes—
64#2797C2214yes—
65#2788C2214yes—
66#2788C2214yes—
67#2784C2214yes—
68#2780C2214yes—
69#2773C2214yes—
70#2772C2214yes—
71#2768C2214yes—
72#2768C2214yes—
73#2763C2214yes—
74#2761C2214yes—
75#2757C2214yes—
76#2751C2214yes—
77#2734C2214yes—
78#2729C2214yes—
79#2723C2214yes—
80#2717C2214yes—
81#2712C2214yes—
82#2710C2214yes—
83#2710C2214yes—
84#2710C2214yes—
85#2708C2214yes—
86#2706C2214yes—
87#2705C2214yes—
88#2701C2214yes—
89#2701C2214yes—
90#2695C2214yes—
91#2694C2214yes—
92#2690C2214yes—
93#2687C2214yes—
94#2682C2214yes—
95#2682C2214yes—
96#2681C2214yes—
97#2674C2214yes—
98#2674C2214yes—
99#2674C2214yes—
100#2662C2214yes—
101#2661C2214yes—
102#2660C2212yes—
103#2653C2214yes—
104#2649C2214yes—
105#2647C2212yes—
106#2644C2212yes—
107#2644C2212yes—
108#2644C2214yes—
109#2640C2212yes—
110#2640C2212yes—
111#2640C2214yes—
112#2638C2214yes—
113#2638C2214yes—
114#2637C2214yes—
115#2633C2214yes—
116#2629C2212yes—
117#2628C2212yes—
118#2628C2212yes—
119#2625C2212yes—
120#2624C2212yes—
121#2620C2212yes—
122#2614C2214yes—
123#2612C2214yes—
124#2610C2214yes—
125#2595C2214yes—
126#2589C2214yes—
127#2587C2214yes—
128#2584C2214yes—
129#2583C2214yes—
130#2582C2212yes—
131#2582C2212yes—
132#2580C2212yes—
133#2573C2214yes—
134#2567C2211yescharacteristic
135#2567C2211yescharacteristic
136#2567C2211yescharacteristic
137#2567C2211yescharacteristic
138#2566C2212yes—
139#2563C2211yescharacteristic
140#2563C2211yescharacteristic
141#2563C2212yes—
142#2557C2214yes—
143#2556C2214yes—
144#2556C2214yes—
145#2552C2211yescharacteristic
146#2552C2212yes—
147#2552C2212yes—
148#2551C2212yes—
149#2551C2212yes—
150#2548C2211yescharacteristic
151#2548C2212yes—
152#2548C2212yes—
153#2545C2212yes—
154#2545C2212yes—
155#2542C2212yes—
156#2541C2211yescharacteristic
157#2540C2212yes—
158#2538C2211yescharacteristic
159#2538C2212yes—
160#2537C2212yes—
161#2533C2212yes—
162#2529C2214yes—
163#2527C2212yes—
164#2526C2214yes—
165#2523C2212yes—
166#2514C2211yescharacteristic
167#2513C2212yes—
168#2513C2212yes—
169#2512C2212yes—
170#2509C2211yescharacteristic
171#2508C2212yes—
172#2507C2212yes—
173#2507C2212yes—
174#2506C2212yes—
175#2503C2212yes—
176#2501C2212yes—
177#2500C2212yes—
178#2499C2211yescharacteristic
179#2497C2212yes—
180#2496C2212yes—
181#2496C2211yescharacteristic
182#2492C2211yescharacteristic
183#2491C2212yes—
184#2491C2212yes—
185#2491C2212yes—
186#2490C2212yes—
187#2489C2212yes—
188#2486C2212yes—
189#2486C2212yes—
190#2485C2211yescharacteristic
191#2478C2212yes—
192#2473C2214yes—
193#2470C2212yes—
194#2466C2212yes—
195#2466C2214yes—
196#2466C2212yes—
197#2455C2212yes—
198#2455C2214yes—
199#2454C2212yes—
200#2453C2211yescharacteristic
201#2452C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2452C2214yes—
205#2452C2212yes—
206#2452C2214yes—
207#2452C2212yes—
208#2451C2212yes—
209#2451C2212yes—
210#2449C2214yes—
211#2448C2212yes—
212#2448C2212yes—
213#2447C2214yes—
214#2447C2212yes—
215#2447C2211yescharacteristic
216#2447C2212yes—
217#2445C2212yes—
218#2441C2212yes—
219#2441C2211yescharacteristic
220#2440C2212yes—
221#2440C2212yes—
222#2439C2214yes—
223#2439C2212yes—
224#2439C2211yescharacteristic
225#2436C2212yes—
226#2434C2214yes—
227#2432C2212yes—
228#2432C2211yescharacteristic
229#2431C2212yes—
230#2429C2211yescharacteristic
231#2428C2212yes—
232#2427C2212yes—
233#2427C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2423C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2422C2212yes—
240#2422C2212yes—
241#2422C2211yescharacteristic
242#2422C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2415C2211yescharacteristic
246#2415C2211yescharacteristic
247#2414C2212yes—
248#2414C2212yes—
249#2407C2211yescharacteristic
250#2406C2214yes—
251#2401C2212yes—
252#2398C2212yes—
253#2395C2212yes—
254#2392C2212yes—
255#2388C2214yes—
256#2370C2212yes—
257#2369C2211yescharacteristic
258#2369C2212yes—
259#2366C2211yescharacteristic
260#2365C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2360C2212yes—
264#2360C2212yes—
265#2357C2214yes—
266#2351C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271#2346C2212yes—
272#2341C2212yes—
273#2326C2212yes—
274#2326C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×#127C2212yes—
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2296C2212yes—
292#2295C2211yescharacteristic
293#2295C2212yes—
294#2295C2212yes—
295#2293C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#559—44no—
303Q82—44no—
304#548—48no—
305#539—416no—
306#532—44no—
307C2×C4⋊Q8—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2314yes—
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321#529—44no—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2314yes—
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C22×C4⋊C4C2314yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408#401C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2312yes—
489#396C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2312yes—
541#392C2314yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2314yes—
551#391C2311yescharacteristic
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2314yes—
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2312yes—
560#391C2314yes—
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2314yes—
632#389C2312yes—
633#389C2314yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
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#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#383C2312yes—
738#383C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2312yes—
742#382C2314yes—
743#382C2311yescharacteristic
744#382C2314yes—
745#382C2311yescharacteristic
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#381C2314yes—
750#381C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814#376C2314yes—
815#376C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—24no—
819C2×#41—44no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—44no—
823C2×#41—82no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8—82no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—48no—
869C4⋊Q8—84no—
870#127—24no—
871#127—44no—
872#126—28no—
873#126—44no—
874#126—48no—
875#125—44no—
876#125—42no—
877#125—48no—
878#125—48no—
879#124—28no—
880#124—44no—
881#124—48no—
882#124—42no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—82no—
887#124—84no—
888#123—28no—
889#123—48no—
890#123—48no—
891#123—44no—
892#123—48no—
893#123—48no—
894#123—84no—
895#123—84no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—44no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—84no—
908#121—28no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—42no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—48no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—42no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×D4—216no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—42no—
939C4×D4—42no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—44no—
944C4×D4—84no—
945#117—24no—
946#117—44no—
947#117—44no—
948#117—44no—
949#117—42no—
950#117—42no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—48no—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42—44no—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C24C2514yes—
1191C24C2511yescharacteristic
1192#41—416no—
1193#41—816no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—816no—
1218C2×Q82−1+414yes—
1219C2×D4—22no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—42no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C22×C4—22no—
1253C22×C4—28no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2514yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—28no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C42−1+414yes—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—44no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4H(5,𝔽2)14yes—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—28no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—44no—
1478C42—44no—
1479C42—44no—
1480C42—41no—
1481C42—44no—
1482C42H(5,𝔽2)14yes—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—24no—
1493C23—24no—
1494C23—21no—
1495C23—21no—
1496C23—24no—
1497C23—24no—
1498C23—22no—
1499C23—21no—
1500C23—22no—
1501C23—21no—
1502C23—22no—
1503C23—21no—
1504C23—24no—
1505C23—24no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—21no—
1510C23C2×H(5,𝔽2)12yes—
1511C23C2611yescharacteristic
1512Q8—28no—
1513Q8—48no—
1514Q8—44no—
1515Q8—44no—
1516Q8—84no—
1517Q8—84no—
1518Q8—88no—
1519Q8—164no—
1520D4—48no—
1521D4—44no—
1522D4—48no—
1523D4—44no—
1524D4—48no—
1525D4—88no—
1526D4—84no—
1527D4—88no—
1528D4—84no—
1529D4—88no—
1530D4—88no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—84no—
1622C2×C4—88no—
1623C2×C4—88no—
1624C2×C4—88no—
1625C2×C4—164no—
1626C2×C4C2×H(5,𝔽2)12yes—
1627C2×C4C2×H(5,𝔽2)12yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×2−1+414yes—
1632C2×C4C2×2−1+414yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4C2×2−1+412yes—
1635C2×C4#58512yes—
1636C2×C4#58512yes—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—44no—
1647C22—42no—
1648C22—41no—
1649C22—44no—
1650C22—44no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—44no—
1656C22—41no—
1657C22—44no—
1658C22—42no—
1659C22—42no—
1660C22—44no—
1661C22—41no—
1662C22—44no—
1663C22—41no—
1664C22—42no—
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C22×2−1+411yescharacteristic
1668C22C22×2−1+411yescharacteristic
1669C22C2×#58511yescharacteristic
1670C22C2×#58511yescharacteristic
1671C22H(7,𝔽2)11yescharacteristic
1672C4—24no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—24no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—44no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—44no—
1692C4—44no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4#354114yes—
1702C4#355414yes—
1703C2—42no—
1704C2—81no—
1705C2—82no—
1706C2—84no—
1707C2C2×#354111yescharacteristic
1708C2C2×#355411yescharacteristic
1709C2#6275911yescharacteristic
1710C2#6291211yescharacteristic
1711C2#6295111yescharacteristic
1712C2#6295211yescharacteristic
1713C2#6303711yescharacteristic
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. #59871C2semidirect
2. #59592C2semidirect
3. #59556C2semidirect
4. #59151C2semidirect
5. #59070C2semidirect
6. #57619C2semidirect
7. #57237C2semidirect
8. #53127C2semidirect
9. #53101C2semidirect
10. #53082C2semidirect
11. #53056C2semidirect
12. #52326C2semidirect
13. #42842C2semidirect
14. #42838C2semidirect
15. #42746C2semidirect
16. #42731C2semidirect
17. #40503C2semidirect
18. #39688C2semidirect
19. #39674C2semidirect
20. #39404C2semidirect
21. #39400C2semidirect
22. #39201C2semidirect
23. #39168C2semidirect
24. #39147C2semidirect
25. #39137C2semidirect
26. #37637C2semidirect
27. #37632C2semidirect
28. #37629C2semidirect
29. #37521C2semidirect
30. #36456C2semidirect
31. #36287C2semidirect
32. #36122C2semidirect
33. #34977C2semidirect
34. #34803C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#598712
#595922
#595562
#591512
#590702
#576192
#572372
#531272
#531012
#530822
#530562
#523262
#428422
#428382
#427462
#427312
#405032
#396882
#396742
#394042
#394002
#392012
#391682
#391472
#391372
#376372
#376322
#376292
#375212
#364562
#362872
#361222
#349772
#348032
#347242