Finite Group Databasebeta

← #8425156

Subgroups — #8425156

Order 512.

4918 conjugacy classes of subgroups.

The subgroup lattice has 1765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59827C211yesmaximal, characteristic, complemented
2#59677C212yesmaximal, complemented
3#59145C212yesmaximal, complemented
4#59079C211yesmaximal, characteristic, complemented
5#59033C211yesmaximal, characteristic, complemented
6#57849C214yesmaximal, complemented
7#57265C214yesmaximal, complemented
8#53154C212yesmaximal, complemented
9#53141C212yesmaximal, complemented
10#53098C212yesmaximal, complemented
11#52963C212yesmaximal, complemented
12#52492C214yesmaximal, complemented
13#42567C212yesmaximal, complemented
14#42508C212yesmaximal, complemented
15#42504C212yesmaximal, complemented
16#42444C212yesmaximal, complemented
17#41147C214yesmaximal, complemented
18#40068C212yesmaximal, complemented
19#39985C212yesmaximal, complemented
20#39352C211yesmaximal, characteristic, complemented
21#39169C211yesmaximal, characteristic, complemented
22#39040C212yesmaximal, complemented
23#38985C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#37700C212yesmaximal, complemented
26#37633C211yesmaximal, characteristic, complemented
27#37630C211yesmaximal, characteristic, complemented
28#37502C212yesmaximal, complemented
29#37498C212yesmaximal, complemented
30#36551C211yesmaximal, characteristic, complemented
31#36275C211yesmaximal, characteristic, complemented
32#36150C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34772C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#554C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#540C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2212yes—
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2855C2212yes—
49#2851C2212yes—
50#2839C2214yes—
51#2837C2214yes—
52#2837C2214yes—
53#2837C2214yes—
54#2836C2214yes—
55#2831C2214yes—
56#2827C2214yes—
57#2827C2214yes—
58#2827C2214yes—
59#2827C2214yes—
60#2826C2214yes—
61#2825C2214yes—
62#2814C2214yes—
63#2813C2214yes—
64#2800C2214yes—
65#2780C2214yes—
66#2780C2214yes—
67#2779C2214yes—
68#2779C2214yes—
69#2768C2214yes—
70#2751C2214yes—
71#2750C2214yes—
72#2748C2214yes—
73#2746C2214yes—
74#2746C2214yes—
75#2744C2214yes—
76#2743C2214yes—
77#2743C2214yes—
78#2732C2214yes—
79#2728C2214yes—
80#2724C2214yes—
81#2715C2214yes—
82#2708C2214yes—
83#2708C2214yes—
84#2706C2214yes—
85#2703C2214yes—
86#2700C2214yes—
87#2695C2214yes—
88#2693C2214yes—
89#2691C2214yes—
90#2688C2214yes—
91#2688C2214yes—
92#2688C2214yes—
93#2676C2214yes—
94#2676C2214yes—
95#2676C2214yes—
96#2676C2214yes—
97#2672C2214yes—
98#2671C2214yes—
99#2671C2214yes—
100#2671C2214yes—
101#2667C2214yes—
102#2655C2214yes—
103#2649C2214yes—
104#2649C2214yes—
105#2648C2214yes—
106#2647C2212yes—
107#2645C2212yes—
108#2645C2212yes—
109#2644C2212yes—
110#2642C2212yes—
111#2641C2212yes—
112#2637C2214yes—
113#2636C2214yes—
114#2635C2214yes—
115#2630C2214yes—
116#2629C2212yes—
117#2629C2212yes—
118#2624C2212yes—
119#2624C2212yes—
120#2623C2214yes—
121#2621C2212yes—
122#2620C2212yes—
123#2618C2214yes—
124#2608C2214yes—
125#2592C2212yes—
126#2589C2214yes—
127#2582C2212yes—
128#2582C2211yescharacteristic
129#2576C2214yes—
130#2569C2214yes—
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2566C2212yes—
134#2565C2212yes—
135#2563C2211yescharacteristic
136#2559C2214yes—
137#2552C2211yescharacteristic
138#2548C2211yescharacteristic
139#2547C2211yescharacteristic
140#2547C2211yescharacteristic
141#2547C2212yes—
142#2546C2211yescharacteristic
143#2545C2212yes—
144#2545C2212yes—
145#2544C2212yes—
146#2544C2212yes—
147#2544C2212yes—
148#2543C2214yes—
149#2541C2212yes—
150#2541C2211yescharacteristic
151#2540C2212yes—
152#2538C2212yes—
153#2537C2212yes—
154#2535C2212yes—
155#2522C2212yes—
156#2520C2212yes—
157#2512C2212yes—
158#2512C2212yes—
159#2511C2212yes—
160#2511C2211yescharacteristic
161#2509C2212yes—
162#2509C2212yes—
163#2507C2211yescharacteristic
164#2505C2212yes—
165#2502C2211yescharacteristic
166#2501C2212yes—
167#2497C2211yescharacteristic
168#2497C2212yes—
169#2492C2211yescharacteristic
170#2490C2212yes—
171#2489C2212yes—
172#2489C2212yes—
173#2487C2211yescharacteristic
174#2487C2212yes—
175#2487C2212yes—
176#2486C2212yes—
177#2486C2212yes—
178#2485C2212yes—
179#2485C2212yes—
180#2481C2214yes—
181#2479C2212yes—
182#2471C2212yes—
183#2467C2212yes—
184#2464C2214yes—
185#2459C2214yes—
186#2457C2214yes—
187#2456C2214yes—
188#2456C2212yes—
189#2454C2212yes—
190#2454C2212yes—
191#2454C2212yes—
192#2454C2211yescharacteristic
193#2454C2212yes—
194#2453C2212yes—
195#2453C2212yes—
196#2453C2212yes—
197#2452C2212yes—
198#2450C2212yes—
199#2450C2214yes—
200#2449C2214yes—
201#2448C2212yes—
202#2448C2211yescharacteristic
203#2447C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2447C2212yes—
207#2447C2214yes—
208#2446C2212yes—
209#2445C2212yes—
210#2444C2214yes—
211#2444C2214yes—
212#2444C2214yes—
213#2442C2212yes—
214#2441C2211yescharacteristic
215#2441C2212yes—
216#2440C2211yescharacteristic
217#2438C2214yes—
218#2431C2211yescharacteristic
219#2431C2212yes—
220#2428C2212yes—
221#2428C2211yescharacteristic
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2425C2214yes—
228#2423C2211yescharacteristic
229#2422C2212yes—
230#2421C2214yes—
231#2420C2212yes—
232#2419C2214yes—
233#2419C2214yes—
234#2417C2212yes—
235#2417C2211yescharacteristic
236#2416C2212yes—
237#2416C2212yes—
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2214yes—
242#2416C2212yes—
243#2415C2212yes—
244#2414C2212yes—
245#2414C2211yescharacteristic
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2407C2212yes—
252#2402C2212yes—
253#2397C2212yes—
254#2396C2212yes—
255#2392C2212yes—
256#2392C2214yes—
257#2369C2211yescharacteristic
258#2367C2212yes—
259#2367C2212yes—
260#2366C2211yescharacteristic
261#2364C2214yes—
262#2363C2212yes—
263#2352C2212yes—
264D4×C4⋊C4C2212yes—
265D4×C4⋊C4C2212yes—
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269#2345C2212yes—
270#2341C2212yes—
271#2339C2212yes—
272#2339C2212yes—
273#2339C2212yes—
274#2329C2214yes—
275#2328C2212yes—
276#2319C2212yes—
277#2311C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290#2297C2212yes—
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293C2×#389C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302#559—48no—
303#554—44no—
304#550—44no—
305#540—48no—
306#533—44no—
307#532—44no—
308#532—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317#529—44no—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
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×D4C2311yescharacteristic
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2314yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2314yes—
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2312yes—
415C22×C42C2312yes—
416#401C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#400C2312yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2312yes—
444#399C2312yes—
445#399C2314yes—
446#399C2312yes—
447#399C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2312yes—
507#396C2312yes—
508#395C2314yes—
509#395C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2312yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2312yes—
546#392C2312yes—
547#392C2312yes—
548#392C2312yes—
549#392C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2314yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2312yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#382C2314yes—
743#382C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C43C2311yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873#127—28no—
874#127—24no—
875#127—24no—
876#127—44no—
877#126—44no—
878#126—84no—
879#125—42no—
880#125—44no—
881#125—44no—
882#125—44no—
883#124—28no—
884#124—44no—
885#124—42no—
886#124—44no—
887#124—44no—
888#124—44no—
889#124—48no—
890#124—82no—
891#123—48no—
892#123—48no—
893#123—44no—
894#123—48no—
895#123—48no—
896#123—84no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—42no—
901C22⋊Q8—42no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—82no—
907#121—24no—
908#121—24no—
909#121—44no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—42no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—48no—
924#121—84no—
925#121—84no—
926#121—82no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4—84no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—42no—
963#117—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—84no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C42—24no—
1101C2×C42—24no—
1102C2×C42—44no—
1103C2×C42—44no—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2414yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2514yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201#41—416no—
1202#41—816no—
1203#41—816no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4H(5,𝔽2)14yes—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—28no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—41no—
1313C22×C4—42no—
1314C22×C4—41no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C42−1+414yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—28no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—22no—
1503C42—22no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—41no—
1512C42H(5,𝔽2)14yes—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—21no—
1524C23—22no—
1525C23—22no—
1526C23—21no—
1527C23—22no—
1528C23—21no—
1529C23—24no—
1530C23—24no—
1531C23—21no—
1532C23—22no—
1533C23—24no—
1534C23—24no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—24no—
1541C23—22no—
1542C23—21no—
1543C23—24no—
1544C23—22no—
1545C23—21no—
1546C23C2×H(5,𝔽2)14yes—
1547C23C2×2−1+412yes—
1548C23C2611yescharacteristic
1549Q8—44no—
1550Q8—48no—
1551Q8—44no—
1552Q8—84no—
1553Q8—84no—
1554D4—28no—
1555D4—48no—
1556D4—48no—
1557D4—44no—
1558D4—48no—
1559D4—44no—
1560D4—48no—
1561D4—48no—
1562D4—84no—
1563D4—88no—
1564D4—84no—
1565D4—88no—
1566D4—84no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—164no—
1571D4—164no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—28no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—44no—
1659C2×C4—48no—
1660C2×C4—82no—
1661C2×C4—82no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—88no—
1668C2×C4—164no—
1669C2×C4—164no—
1670C2×C4—164no—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×2−1+412yes—
1676C2×C4C2×2−1+412yes—
1677C2×C4#58512yes—
1678C2×C4#58512yes—
1679C2×C4#58512yes—
1680C22—22no—
1681C22—24no—
1682C22—22no—
1683C22—24no—
1684C22—24no—
1685C22—22no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—41no—
1695C22—44no—
1696C22—42no—
1697C22—42no—
1698C22—41no—
1699C22—44no—
1700C22—41no—
1701C22—42no—
1702C22—44no—
1703C22—44no—
1704C22—42no—
1705C22—41no—
1706C22—42no—
1707C22—44no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—44no—
1712C22—41no—
1713C22—42no—
1714C22—44no—
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C22×2−1+411yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22H(7,𝔽2)11yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—41no—
1726C4—42no—
1727C4—44no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—44no—
1741C4—42no—
1742C4—41no—
1743C4—41no—
1744C4—42no—
1745C4—41no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—44no—
1750C4#353614yes—
1751C4#356214yes—
1752C2—42no—
1753C2—44no—
1754C2—81no—
1755C2—84no—
1756C2—82no—
1757C2C2×#353611yescharacteristic
1758C2C2×#356211yescharacteristic
1759C2#6276111yescharacteristic
1760C2#6292011yescharacteristic
1761C2#6292611yescharacteristic
1762C2#6295511yescharacteristic
1763C2#6301811yescharacteristic
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. #59827C2semidirect
2. #59677C2semidirect
3. #59145C2semidirect
4. #59079C2semidirect
5. #59033C2semidirect
6. #57849C2semidirect
7. #57265C2semidirect
8. #53154C2semidirect
9. #53141C2semidirect
10. #53098C2semidirect
11. #52963C2semidirect
12. #52492C2semidirect
13. #42567C2semidirect
14. #42508C2semidirect
15. #42504C2semidirect
16. #42444C2semidirect
17. #41147C2semidirect
18. #40068C2semidirect
19. #39985C2semidirect
20. #39352C2semidirect
21. #39169C2semidirect
22. #39040C2semidirect
23. #38985C2semidirect
24. #38909C2semidirect
25. #37700C2semidirect
26. #37633C2semidirect
27. #37630C2semidirect
28. #37502C2semidirect
29. #37498C2semidirect
30. #36551C2semidirect
31. #36275C2semidirect
32. #36150C2semidirect
33. #34937C2semidirect
34. #34772C2semidirect
35. #34727C2semidirect

Maximal subgroups

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

subgroupindex
#598272
#596772
#591452
#590792
#590332
#578492
#572652
#531542
#531412
#530982
#529632
#524922
#425672
#425082
#425042
#424442
#411472
#400682
#399852
#393522
#391692
#390402
#389852
#389092
#377002
#376332
#376302
#375022
#374982
#365512
#362752
#361502
#349372
#347722
#347272