Finite Group Databasebeta

← #7880580

Subgroups — #7880580

Order 512.

4770 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59684C212yesmaximal, complemented
2#59643C212yesmaximal, complemented
3#59456C211yesmaximal, characteristic, complemented
4#59134C211yesmaximal, characteristic, complemented
5#59049C211yesmaximal, characteristic, complemented
6#51444C214yesmaximal, complemented
7#49967C214yesmaximal, complemented
8#46566C214yesmaximal, complemented
9#45382C212yesmaximal, complemented
10#45230C212yesmaximal, complemented
11#45094C212yesmaximal, complemented
12#45011C212yesmaximal, complemented
13#43312C214yesmaximal, complemented
14#42842C212yesmaximal, complemented
15#42620C212yesmaximal, complemented
16#40105C212yesmaximal, complemented
17#39781C212yesmaximal, complemented
18#39771C211yesmaximal, characteristic, complemented
19#39352C211yesmaximal, characteristic, complemented
20#39202C211yesmaximal, characteristic, complemented
21#39076C212yesmaximal, complemented
22#39071C212yesmaximal, complemented
23#38933C211yesmaximal, characteristic, complemented
24#36460C211yesmaximal, characteristic, complemented
25#36449C211yesmaximal, characteristic, complemented
26#36122C211yesmaximal, characteristic, complemented
27#35849C212yesmaximal, complemented
28#35801C212yesmaximal, complemented
29#35678C212yesmaximal, complemented
30#35595C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34793C211yesmaximal, characteristic, complemented
33#34481C211yesmaximal, characteristic, complemented
34#34232C211yesmaximal, characteristic, complemented
35#34209C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#548C2212yes—
38C2×#540C2212yes—
39C2×#532C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#519C2212yes—
42#2863C2212yes—
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2857C2211yescharacteristic
46#2856C2211yescharacteristic
47#2829C2214yes—
48#2801C2214yes—
49#2800C2214yes—
50#2797C2214yes—
51#2797C2214yes—
52#2796C2214yes—
53#2793C2214yes—
54#2786C2214yes—
55#2784C2214yes—
56#2783C2214yes—
57#2773C2214yes—
58#2766C2214yes—
59#2761C2214yes—
60#2759C2214yes—
61#2757C2214yes—
62#2755C2214yes—
63#2754C2214yes—
64#2752C2214yes—
65#2751C2214yes—
66#2744C2214yes—
67#2740C2214yes—
68#2738C2214yes—
69#2737C2214yes—
70#2721C2214yes—
71#2716C2214yes—
72#2714C2214yes—
73#2710C2214yes—
74#2710C2214yes—
75#2706C2214yes—
76#2699C2214yes—
77#2695C2214yes—
78#2688C2214yes—
79#2687C2214yes—
80#2671C2214yes—
81#2667C2214yes—
82#2662C2214yes—
83#2653C2214yes—
84#2647C2212yes—
85#2640C2212yes—
86#2624C2212yes—
87#2624C2214yes—
88#2624C2212yes—
89#2607C2214yes—
90#2595C2214yes—
91#2592C2212yes—
92#2585C2214yes—
93#2584C2212yes—
94#2580C2212yes—
95#2578C2214yes—
96#2577C2214yes—
97#2576C2214yes—
98#2576C2214yes—
99#2575C2214yes—
100#2573C2214yes—
101#2572C2214yes—
102#2571C2211yescharacteristic
103#2568C2211yescharacteristic
104#2565C2212yes—
105#2565C2212yes—
106#2559C2214yes—
107#2558C2214yes—
108#2557C2214yes—
109#2552C2211yescharacteristic
110#2548C2212yes—
111#2548C2212yes—
112#2548C2211yescharacteristic
113#2547C2211yescharacteristic
114#2545C2212yes—
115#2545C2212yes—
116#2544C2212yes—
117#2541C2211yescharacteristic
118#2540C2212yes—
119#2537C2212yes—
120#2532C2212yes—
121#2530C2212yes—
122#2530C2214yes—
123#2528C2212yes—
124#2526C2214yes—
125#2526C2212yes—
126#2523C2214yes—
127#2518C2214yes—
128#2518C2214yes—
129#2518C2212yes—
130#2517C2212yes—
131#2516C2214yes—
132#2516C2214yes—
133#2514C2212yes—
134#2513C2211yescharacteristic
135#2513C2212yes—
136#2512C2212yes—
137#2511C2211yescharacteristic
138#2508C2212yes—
139#2508C2211yescharacteristic
140#2507C2212yes—
141#2506C2211yescharacteristic
142#2505C2214yes—
143#2501C2212yes—
144#2500C2214yes—
145#2500C2211yescharacteristic
146#2500C2212yes—
147#2499C2211yescharacteristic
148#2497C2211yescharacteristic
149#2495C2212yes—
150#2494C2211yescharacteristic
151#2494C2212yes—
152#2493C2214yes—
153#2492C2212yes—
154#2491C2212yes—
155#2491C2212yes—
156#2491C2211yescharacteristic
157#2490C2212yes—
158#2489C2212yes—
159#2489C2211yescharacteristic
160#2488C2214yes—
161#2485C2214yes—
162#2485C2212yes—
163#2485C2211yescharacteristic
164#2485C2211yescharacteristic
165#2481C2214yes—
166#2476C2214yes—
167#2476C2214yes—
168#2476C2214yes—
169#2476C2214yes—
170#2467C2214yes—
171#2460C2212yes—
172#2459C2212yes—
173#2458C2214yes—
174#2458C2214yes—
175#2458C2214yes—
176#2458C2214yes—
177#2454C2212yes—
178#2453C2212yes—
179#2452C2212yes—
180#2452C2212yes—
181#2451C2212yes—
182#2448C2212yes—
183#2448C2212yes—
184#2448C2214yes—
185#2448C2212yes—
186#2448C2214yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2446C2212yes—
191#2445C2212yes—
192#2444C2214yes—
193#2441C2211yescharacteristic
194#2439C2212yes—
195#2439C2211yescharacteristic
196#2436C2212yes—
197#2436C2212yes—
198#2432C2212yes—
199#2431C2212yes—
200#2427C2212yes—
201#2427C2212yes—
202#2426C2212yes—
203#2423C2212yes—
204#2423C2212yes—
205#2423C2214yes—
206#2422C2212yes—
207#2421C2214yes—
208#2421C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2214yes—
212#2417C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2415C2211yescharacteristic
217#2414C2211yescharacteristic
218#2414C2212yes—
219#2401C2212yes—
220#2398C2212yes—
221#2395C2214yes—
222#2395C2212yes—
223#2392C2212yes—
224#2383C2214yes—
225#2374C2214yes—
226#2367C2212yes—
227#2366C2211yescharacteristic
228#2366C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2363C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2360C2212yes—
243#2357C2212yes—
244#2355C2212yes—
245#2353C2214yes—
246#2352C2212yes—
247#2352C2212yes—
248#2351C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2345C2212yes—
254#2344C2212yes—
255#2344C2214yes—
256#2344C2212yes—
257#2341C2212yes—
258#2341C2212yes—
259Q8×C22⋊C4C2212yes—
260#2339C2212yes—
261#2334C2214yes—
262#2334C2214yes—
263#2333C2214yes—
264#2327C2214yes—
265#2326C2212yes—
266#2326C2212yes—
267#2324C2212yes—
268#2323C2212yes—
269#2320C2212yes—
270#2320C2212yes—
271#2319C2212yes—
272#2317C2212yes—
273#2310C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2212yes—
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×#124C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289#2298C2212yes—
290#2298C2212yes—
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#556—28no—
302#548—48no—
303#540—48no—
304#532—28no—
305C2×C4⋊Q8—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2314yes—
346C2×#121C2314yes—
347#519—48no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2314yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388#401C2314yes—
389#401C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2312yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#392C2314yes—
487#392C2312yes—
488#392C2314yes—
489#392C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2314yes—
705#384C2312yes—
706#383C2314yes—
707#383C2314yes—
708#383C2314yes—
709#383C2312yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8—28no—
820C22×Q8—28no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—42no—
855C4⋊Q8#4118yes—
856#127—24no—
857#127—44no—
858#126—216no—
859#126—48no—
860#125—42no—
861#125—44no—
862#125—44no—
863#124—28no—
864#124—28no—
865#124—44no—
866#124—44no—
867#124—44no—
868#124—44no—
869#124—44no—
870#124—48no—
871#123—48no—
872#123—48no—
873#123—48no—
874C22⋊Q8—28no—
875C22⋊Q8—48no—
876C22⋊Q8—42no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879#121—24no—
880#121—28no—
881#121—28no—
882#121—28no—
883#121—44no—
884#121—48no—
885#121—48no—
886#121—44no—
887#121—42no—
888#121—44no—
889#121—44no—
890#121—48no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—48no—
899C4×Q8—48no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—48no—
917#117—24no—
918#117—28no—
919#117—28no—
920#117—44no—
921#117—48no—
922#117—48no—
923#117—42no—
924#117—42no—
925#117—42no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166C24C2512yes—
1167C24C2514yes—
1168C24C2511yescharacteristic
1169C24C2511yescharacteristic
1170#41—816no—
1171C2×Q8—22no—
1172C2×Q8—28no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—28no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—44no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—432no—
1186C2×Q8C2×#4118yes—
1187C2×D4—22no—
1188C2×D4—28no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—28no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—41no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4H(5,𝔽2)14yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—41no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4C2×#4118yes—
1351C4⋊C4C2×#4118yes—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—22no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—22no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—41no—
1380C22⋊C4—44no—
1381C22⋊C4—41no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—28no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—42no—
1431C42—41no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—41no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—42no—
1445C42C2×#4114yes—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—24no—
1454C23—21no—
1455C23—21no—
1456C23—24no—
1457C23—22no—
1458C23—24no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—24no—
1465C23—24no—
1466C23—24no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—24no—
1473C23C2×H(5,𝔽2)12yes—
1474C23C2611yescharacteristic
1475Q8—216no—
1476Q8—416no—
1477Q8—48no—
1478Q8—44no—
1479Q8—84no—
1480D4—44no—
1481D4—44no—
1482D4—48no—
1483D4—48no—
1484D4—84no—
1485D4—88no—
1486D4—88no—
1487D4—84no—
1488D4—84no—
1489D4—164no—
1490D4—164no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—28no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—44no—
1576C2×C4—416no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—82no—
1582C2×C4—88no—
1583C2×C4—164no—
1584C2×C4—164no—
1585C2×C4—164no—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4118yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4#58512yes—
1593C2×C4#58512yes—
1594C2×C4#58512yes—
1595C2×C4#58512yes—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—44no—
1605C22—42no—
1606C22—41no—
1607C22—44no—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—44no—
1612C22—42no—
1613C22—41no—
1614C22—44no—
1615C22—42no—
1616C22—41no—
1617C22—44no—
1618C22—44no—
1619C22—42no—
1620C22—41no—
1621C22—44no—
1622C22—41no—
1623C22—42no—
1624C22C23×#4111yescharacteristic
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C2×#58511yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C222−1+611yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—28no—
1635C4—42no—
1636C4—41no—
1637C4—41no—
1638C4—44no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4#351314yes—
1661C4#352414yes—
1662C2—42no—
1663C2—81no—
1664C2—84no—
1665C2—82no—
1666C2C2×#351311yescharacteristic
1667C2C2×#352411yescharacteristic
1668C2#6283611yescharacteristic
1669C2#6293111yescharacteristic
1670C2#6296811yescharacteristic
1671C2#6300511yescharacteristic
1672C2#6303111yescharacteristic
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. #59684C2semidirect
2. #59643C2semidirect
3. #59456C2semidirect
4. #59134C2semidirect
5. #59049C2semidirect
6. #51444C2semidirect
7. #49967C2semidirect
8. #46566C2semidirect
9. #45382C2semidirect
10. #45230C2semidirect
11. #45094C2semidirect
12. #45011C2semidirect
13. #43312C2semidirect
14. #42842C2semidirect
15. #42620C2semidirect
16. #40105C2semidirect
17. #39781C2semidirect
18. #39771C2semidirect
19. #39352C2semidirect
20. #39202C2semidirect
21. #39076C2semidirect
22. #39071C2semidirect
23. #38933C2semidirect
24. #36460C2semidirect
25. #36449C2semidirect
26. #36122C2semidirect
27. #35849C2semidirect
28. #35801C2semidirect
29. #35678C2semidirect
30. #35595C2semidirect
31. #34800C2semidirect
32. #34793C2semidirect
33. #34481C2semidirect
34. #34232C2semidirect
35. #34209C2semidirect

Maximal subgroups

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

subgroupindex
#596842
#596432
#594562
#591342
#590492
#514442
#499672
#465662
#453822
#452302
#450942
#450112
#433122
#428422
#426202
#401052
#397812
#397712
#393522
#392022
#390762
#390712
#389332
#364602
#364492
#361222
#358492
#358012
#356782
#355952
#348002
#347932
#344812
#342322
#342092