Finite Group Databasebeta

← #8459049

Subgroups — #8459049

Order 512.

4894 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59436C211yesmaximal, characteristic, complemented
2#59067C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#57349C214yesmaximal, complemented
5#57208C214yesmaximal, complemented
6#54533C214yesmaximal, complemented
7#53014C212yesmaximal, complemented
8#52995C212yesmaximal, complemented
9#50088C214yesmaximal, complemented
10#45616C212yesmaximal, complemented
11#45524C212yesmaximal, complemented
12#45068C212yesmaximal, complemented
13#45062C212yesmaximal, complemented
14#42767C212yesmaximal, complemented
15#42588C212yesmaximal, complemented
16#42498C212yesmaximal, complemented
17#42434C212yesmaximal, complemented
18#40170C212yesmaximal, complemented
19#39341C211yesmaximal, characteristic, complemented
20#39174C211yesmaximal, characteristic, complemented
21#39139C211yesmaximal, characteristic, complemented
22#39126C212yesmaximal, complemented
23#38942C212yesmaximal, complemented
24#38941C211yesmaximal, characteristic, complemented
25#37784C212yesmaximal, complemented
26#37634C211yesmaximal, characteristic, complemented
27#37325C212yesmaximal, complemented
28#37293C212yesmaximal, complemented
29#36561C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#36115C211yesmaximal, characteristic, complemented
32#35238C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34780C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2212yes—
38C2×#550C2211yescharacteristic
39C2×#537C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2212yes—
44C2×#529C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2212yes—
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2855C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2841C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2816C2214yes—
60#2816C2214yes—
61#2813C2214yes—
62#2803C2214yes—
63#2800C2214yes—
64#2795C2214yes—
65#2790C2214yes—
66#2790C2214yes—
67#2788C2214yes—
68#2778C2214yes—
69#2772C2214yes—
70#2764C2214yes—
71#2759C2214yes—
72#2756C2214yes—
73#2756C2214yes—
74#2756C2214yes—
75#2752C2214yes—
76#2751C2214yes—
77#2746C2214yes—
78#2746C2214yes—
79#2745C2214yes—
80#2741C2214yes—
81#2737C2214yes—
82#2737C2214yes—
83#2730C2214yes—
84#2721C2214yes—
85#2720C2214yes—
86#2720C2214yes—
87#2711C2214yes—
88#2711C2214yes—
89#2711C2214yes—
90#2710C2214yes—
91#2708C2214yes—
92#2703C2214yes—
93#2702C2214yes—
94#2702C2214yes—
95#2701C2214yes—
96#2701C2214yes—
97#2699C2214yes—
98#2699C2214yes—
99#2698C2214yes—
100#2696C2214yes—
101#2694C2214yes—
102#2692C2214yes—
103#2691C2214yes—
104#2686C2214yes—
105#2686C2214yes—
106#2681C2214yes—
107#2681C2214yes—
108#2676C2214yes—
109#2676C2214yes—
110#2675C2214yes—
111#2665C2214yes—
112#2662C2214yes—
113#2660C2212yes—
114#2653C2214yes—
115#2646C2214yes—
116#2641C2212yes—
117#2641C2212yes—
118#2640C2212yes—
119#2635C2214yes—
120#2632C2214yes—
121#2629C2214yes—
122#2621C2212yes—
123#2620C2214yes—
124#2616C2212yes—
125#2616C2212yes—
126#2615C2212yes—
127#2599C2214yes—
128#2597C2214yes—
129#2570C2212yes—
130#2567C2211yescharacteristic
131#2567C2211yescharacteristic
132#2566C2212yes—
133#2566C2212yes—
134#2564C2214yes—
135#2563C2211yescharacteristic
136#2563C2211yescharacteristic
137#2563C2212yes—
138#2562C2214yes—
139#2559C2212yes—
140#2557C2212yes—
141#2556C2214yes—
142#2552C2212yes—
143#2552C2212yes—
144#2551C2211yescharacteristic
145#2550C2211yescharacteristic
146#2548C2212yes—
147#2548C2211yescharacteristic
148#2544C2211yescharacteristic
149#2544C2212yes—
150#2542C2211yescharacteristic
151#2542C2211yescharacteristic
152#2542C2212yes—
153#2541C2212yes—
154#2541C2211yescharacteristic
155#2540C2212yes—
156#2540C2211yescharacteristic
157#2538C2211yescharacteristic
158#2537C2212yes—
159#2537C2214yes—
160#2536C2212yes—
161#2536C2212yes—
162#2536C2212yes—
163#2535C2211yescharacteristic
164#2524C2212yes—
165#2521C2212yes—
166#2516C2214yes—
167#2515C2212yes—
168#2514C2212yes—
169#2514C2211yescharacteristic
170#2513C2212yes—
171#2512C2212yes—
172#2510C2214yes—
173#2509C2212yes—
174#2508C2211yescharacteristic
175#2506C2212yes—
176#2503C2211yescharacteristic
177#2500C2212yes—
178#2500C2212yes—
179#2500C2214yes—
180#2497C2212yes—
181#2495C2212yes—
182#2495C2211yescharacteristic
183#2494C2212yes—
184#2493C2212yes—
185#2492C2212yes—
186#2492C2212yes—
187#2492C2211yescharacteristic
188#2491C2212yes—
189#2491C2212yes—
190#2490C2212yes—
191#2490C2212yes—
192#2490C2211yescharacteristic
193#2489C2211yescharacteristic
194#2486C2211yescharacteristic
195#2476C2214yes—
196#2471C2214yes—
197#2470C2214yes—
198#2467C2214yes—
199#2465C2214yes—
200#2464C2212yes—
201#2462C2214yes—
202#2454C2212yes—
203#2453C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2452C2212yes—
207#2448C2212yes—
208#2448C2212yes—
209#2447C2212yes—
210#2446C2212yes—
211#2445C2212yes—
212#2445C2212yes—
213#2444C2214yes—
214#2442C2212yes—
215#2442C2211yescharacteristic
216#2441C2212yes—
217#2438C2214yes—
218#2432C2212yes—
219#2432C2212yes—
220#2430C2214yes—
221#2430C2214yes—
222#2429C2212yes—
223#2428C2212yes—
224#2428C2211yescharacteristic
225#2428C2212yes—
226#2428C2212yes—
227#2427C2211yescharacteristic
228#2427C2212yes—
229#2427C2212yes—
230#2427C2212yes—
231#2426C2212yes—
232#2426C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2423C2212yes—
237#2423C2212yes—
238#2422C2212yes—
239#2420C2214yes—
240#2420C2212yes—
241#2420C2212yes—
242#2419C2212yes—
243#2417C2212yes—
244#2417C2211yescharacteristic
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2414C2214yes—
249#2414C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2402C2212yes—
254#2401C2212yes—
255#2395C2212yes—
256#2388C2212yes—
257#2377C2214yes—
258#2367C2212yes—
259#2366C2212yes—
260#2366C2211yescharacteristic
261#2365C2211yescharacteristic
262#2363C2212yes—
263#2362C2212yes—
264#2360C2212yes—
265#2355C2211yescharacteristic
266#2354C2212yes—
267#2354C2212yes—
268Q8×C4⋊C4C2212yes—
269#2349C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271#2344C2212yes—
272#2341C2212yes—
273#2339C2212yes—
274#2331C2212yes—
275#2326C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2324C2214yes—
279#2323C2212yes—
280#2319C2212yes—
281#2319C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic
292#2297C2212yes—
293#2295C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#557—44no—
303#554—48no—
304#550—44no—
305#537—48no—
306#533—44no—
307#532—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319#529—44no—
320#529—48no—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2314yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2312yes—
415C22×C42C2312yes—
416#401C2312yes—
417#401C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2312yes—
541#392C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2314yes—
548#391C2314yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2314yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2312yes—
558#391C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2314yes—
723#384C2312yes—
724#384C2314yes—
725#383C2314yes—
726#383C2312yes—
727#383C2312yes—
728#383C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2312yes—
737#382C2311yescharacteristic
738#381C2312yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#381C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—82no—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874#127—24no—
875#127—44no—
876#127—42no—
877#127—44no—
878#126—44no—
879#126—48no—
880#125—24no—
881#125—42no—
882#125—44no—
883#125—48no—
884#125—44no—
885#125—48no—
886#124—44no—
887#124—44no—
888#124—42no—
889#124—44no—
890#124—42no—
891#124—44no—
892#124—44no—
893#124—84no—
894#123—44no—
895#123—44no—
896#123—48no—
897#123—84no—
898C22⋊Q8—24no—
899C22⋊Q8—24no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—42no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—84no—
914#121—28no—
915#121—24no—
916#121—44no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—48no—
922#121—44no—
923#121—44no—
924#121—42no—
925#121—44no—
926#121—42no—
927#121—42no—
928#121—44no—
929#121—44no—
930#121—48no—
931#121—44no—
932#121—48no—
933#121—82no—
934#121—84no—
935#121—84no—
936C4×Q8—28no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—82no—
944C4×D4—24no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—42no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—42no—
962#117—44no—
963#117—48no—
964#117—44no—
965#117—84no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—42no—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2514yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201#41—816no—
1202#41—816no—
1203#41—816no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—42no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—24no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—41no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—41no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2514yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—28no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4H(5,𝔽2)14yes—
1416C4⋊C42−1+414yes—
1417C22⋊C4—22no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—42no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
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—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—28no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—22no—
1497C42—22no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C42—41no—
1506C42—44no—
1507C42—41no—
1508C42H(5,𝔽2)14yes—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—21no—
1520C23—22no—
1521C23—22no—
1522C23—24no—
1523C23—21no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—21no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—24no—
1543C23#58512yes—
1544C23C2611yescharacteristic
1545Q8—48no—
1546Q8—48no—
1547Q8—44no—
1548Q8—44no—
1549Q8—84no—
1550Q8—164no—
1551D4—48no—
1552D4—44no—
1553D4—48no—
1554D4—44no—
1555D4—44no—
1556D4—48no—
1557D4—88no—
1558D4—84no—
1559D4—84no—
1560D4—88no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—88no—
1566D4—164no—
1567D4—164no—
1568D4—164no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—84no—
1658C2×C4—88no—
1659C2×C4—88no—
1660C2×C4—84no—
1661C2×C4—82no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)14yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×2−1+414yes—
1672C2×C4C2×2−1+412yes—
1673C2×C4#58512yes—
1674C2×C4#58512yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—44no—
1701C22—41no—
1702C22—44no—
1703C22—41no—
1704C22—42no—
1705C22—42no—
1706C22—41no—
1707C22—44no—
1708C22—42no—
1709C22—42no—
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C22×2−1+411yescharacteristic
1713C22C2×#58511yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22H(7,𝔽2)11yescharacteristic
1717C4—24no—
1718C4—24no—
1719C4—22no—
1720C4—41no—
1721C4—42no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—44no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—41no—
1735C4—44no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—44no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4#354614yes—
1746C4#354714yes—
1747C2—42no—
1748C2—81no—
1749C2—82no—
1750C2—82no—
1751C2—84no—
1752C2C2×#354611yescharacteristic
1753C2C2×#354711yescharacteristic
1754C2#6282711yescharacteristic
1755C2#6292011yescharacteristic
1756C2#6292411yescharacteristic
1757C2#6295211yescharacteristic
1758C2#6301511yescharacteristic
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. #59436C2semidirect
2. #59067C2semidirect
3. #59039C2semidirect
4. #57349C2semidirect
5. #57208C2semidirect
6. #54533C2semidirect
7. #53014C2semidirect
8. #52995C2semidirect
9. #50088C2semidirect
10. #45616C2semidirect
11. #45524C2semidirect
12. #45068C2semidirect
13. #45062C2semidirect
14. #42767C2semidirect
15. #42588C2semidirect
16. #42498C2semidirect
17. #42434C2semidirect
18. #40170C2semidirect
19. #39341C2semidirect
20. #39174C2semidirect
21. #39139C2semidirect
22. #39126C2semidirect
23. #38942C2semidirect
24. #38941C2semidirect
25. #37784C2semidirect
26. #37634C2semidirect
27. #37325C2semidirect
28. #37293C2semidirect
29. #36561C2semidirect
30. #36150C2semidirect
31. #36115C2semidirect
32. #35238C2semidirect
33. #35177C2semidirect
34. #34889C2semidirect
35. #34780C2semidirect

Maximal subgroups

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

subgroupindex
#594362
#590672
#590392
#573492
#572082
#545332
#530142
#529952
#500882
#456162
#455242
#450682
#450622
#427672
#425882
#424982
#424342
#401702
#393412
#391742
#391392
#391262
#389422
#389412
#377842
#376342
#373252
#372932
#365612
#361502
#361152
#352382
#351772
#348892
#347802