Finite Group Databasebeta

← #7710639

Subgroups — #7710639

Order 512.

4652 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59459C211yesmaximal, characteristic, complemented
4#59457C211yesmaximal, characteristic, complemented
5#59082C212yesmaximal, complemented
6#59069C212yesmaximal, complemented
7#45899C214yesmaximal, complemented
8#45654C212yesmaximal, complemented
9#45633C212yesmaximal, complemented
10#40453C214yesmaximal, complemented
11#40027C212yesmaximal, complemented
12#39977C212yesmaximal, complemented
13#39925C212yesmaximal, complemented
14#39879C212yesmaximal, complemented
15#39162C212yesmaximal, complemented
16#39149C211yesmaximal, characteristic, complemented
17#39147C211yesmaximal, characteristic
18#38980C212yesmaximal, complemented
19#38943C211yesmaximal, characteristic, complemented
20#38941C211yesmaximal, characteristic
21#38751C214yesmaximal, complemented
22#37581C212yesmaximal, complemented
23#36827C214yesmaximal, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic
26#36535C211yesmaximal, characteristic, complemented
27#36503C212yesmaximal, complemented
28#36466C211yesmaximal, characteristic, complemented
29#36372C212yesmaximal, complemented
30#36271C211yesmaximal, characteristic, complemented
31#36271C211yesmaximal, characteristic, complemented
32#35185C212yesmaximal, complemented
33#35116C212yesmaximal, complemented
34#34499C212yesmaximal, complemented
35C4×#533C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#556C2212yes—
38C2×#556C2212yes—
39C2×#533C2211yescharacteristic
40C2×#529C2212yes—
41#2864C2212yes—
42#2864C2211yescharacteristic
43#2864C2211yescharacteristic
44#2863C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2861C2212yes—
48#2860C2212yes—
49#2860C2212yes—
50#2860C2212yes—
51#2860C2212yes—
52#2859C2212yes—
53#2859C2211yescharacteristic
54#2859C2211yescharacteristic
55#2858C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2856C2211yescharacteristic
60#2855C2212yes—
61#2855C2212yes—
62#2854C2212yes—
63#2854C2212yes—
64#2851C2211yescharacteristic
65#2851C2211yescharacteristic
66#2850C2212yes—
67#2838C2214yes—
68#2831C2214yes—
69#2802C2214yes—
70#2800C2214yes—
71#2792C2214yes—
72#2788C2214yes—
73#2783C2214yes—
74#2780C2214yes—
75#2776C2214yes—
76#2772C2214yes—
77#2769C2214yes—
78#2763C2214yes—
79#2759C2214yes—
80#2757C2214yes—
81#2744C2214yes—
82#2739C2214yes—
83#2737C2214yes—
84#2729C2214yes—
85#2729C2214yes—
86#2725C2214yes—
87#2725C2214yes—
88#2725C2214yes—
89#2717C2214yes—
90#2707C2214yes—
91#2704C2214yes—
92#2702C2214yes—
93#2702C2214yes—
94#2701C2214yes—
95#2695C2214yes—
96#2689C2214yes—
97#2686C2214yes—
98#2683C2214yes—
99#2680C2214yes—
100#2674C2214yes—
101#2665C2214yes—
102#2654C2214yes—
103#2652C2214yes—
104#2650C2214yes—
105#2650C2214yes—
106#2645C2212yes—
107#2644C2212yes—
108#2642C2212yes—
109#2640C2212yes—
110#2637C2214yes—
111#2609C2214yes—
112#2601C2214yes—
113#2601C2214yes—
114#2601C2214yes—
115#2594C2214yes—
116#2592C2212yes—
117#2592C2212yes—
118#2590C2214yes—
119#2590C2214yes—
120#2588C2214yes—
121#2586C2214yes—
122#2584C2214yes—
123#2584C2212yes—
124#2584C2212yes—
125#2581C2212yes—
126#2580C2212yes—
127#2573C2214yes—
128#2571C2212yes—
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2570C2212yes—
132#2570C2212yes—
133#2567C2212yes—
134#2567C2212yes—
135#2566C2212yes—
136#2566C2212yes—
137#2566C2212yes—
138#2566C2212yes—
139#2565C2212yes—
140#2563C2212yes—
141#2560C2214yes—
142#2560C2214yes—
143#2552C2211yescharacteristic
144#2552C2211yescharacteristic
145#2552C2212yes—
146#2551C2211yescharacteristic
147#2551C2212yes—
148#2550C2212yes—
149#2550C2212yes—
150#2550C2214yes—
151#2550C2212yes—
152#2548C2211yescharacteristic
153#2548C2211yescharacteristic
154#2546C2211yescharacteristic
155#2546C2211yescharacteristic
156#2546C2212yes—
157#2545C2212yes—
158#2545C2212yes—
159#2545C2212yes—
160#2538C2212yes—
161#2530C2214yes—
162#2527C2214yes—
163#2519C2214yes—
164#2513C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2512C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2512C2212yes—
171#2511C2212yes—
172#2509C2212yes—
173#2509C2212yes—
174#2508C2212yes—
175#2507C2212yes—
176#2497C2212yes—
177#2497C2212yes—
178#2496C2214yes—
179#2495C2212yes—
180#2494C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2490C2212yes—
184#2489C2212yes—
185#2478C2214yes—
186#2478C2214yes—
187#2475C2214yes—
188#2475C2214yes—
189#2475C2214yes—
190#2474C2214yes—
191#2470C2214yes—
192#2469C2214yes—
193#2469C2214yes—
194#2469C2214yes—
195#2469C2214yes—
196#2466C2214yes—
197#2466C2214yes—
198#2460C2214yes—
199#2454C2212yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2451C2212yes—
204#2451C2212yes—
205#2450C2214yes—
206#2447C2212yes—
207#2446C2212yes—
208#2439C2214yes—
209#2438C2214yes—
210#2429C2212yes—
211#2429C2212yes—
212#2427C2212yes—
213#2426C2212yes—
214#2422C2212yes—
215#2422C2212yes—
216#2421C2214yes—
217#2421C2212yes—
218#2420C2212yes—
219#2383C2214yes—
220#2378C2214yes—
221#2373C2214yes—
222#2370C2212yes—
223#2370C2212yes—
224#2370C2212yes—
225#2367C2214yes—
226#2367C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2366C2211yescharacteristic
230#2366C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2212yes—
233#2365C2211yescharacteristic
234#2359C2214yes—
235#2357C2212yes—
236#2355C2211yescharacteristic
237#2355C2211yescharacteristic
238#2355C2212yes—
239#2351C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2212yes—
243#2349C2212yes—
244#2349C2212yes—
245#2343C2214yes—
246#2334C2214yes—
247#2334C2214yes—
248#2334C2214yes—
249#2329C2214yes—
250#2327C2212yes—
251#2326C2212yes—
252#2323C2214yes—
253#2320C2212yes—
254#2319C2212yes—
255#2314C2214yes—
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2296C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#557—48no—
300#556—216no—
301#556—48no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#127C2311yescharacteristic
314#529—48no—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2314yes—
377C2×#117C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2314yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2314yes—
702#383C2314yes—
703#383C2312yes—
704#383C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2312yes—
723#381C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804C2×#95C2314yes—
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—42no—
841C4⋊Q8—42no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—48no—
846#127—24no—
847#126—216no—
848#126—216no—
849#126—48no—
850#126—48no—
851#126—48no—
852#126—48no—
853#125—28no—
854#125—28no—
855#125—24no—
856#125—24no—
857#125—44no—
858#125—44no—
859#125—48no—
860#125—48no—
861#124—28no—
862#124—28no—
863#124—28no—
864#124—44no—
865#124—48no—
866#123—48no—
867#123—48no—
868C22⋊Q8—24no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—44no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877#121—44no—
878#121—44no—
879#121—44no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—48no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8#4118yes—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905#117—28no—
906#117—216no—
907#117—48no—
908#117—48no—
909#117—44no—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C42—24no—
1026C2×C42—24no—
1027C2×C42—24no—
1028C2×C42—24no—
1029C2×C42—42no—
1030C2×C42—42no—
1031C2×C42—42no—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24C2514yes—
1160C24C2511yescharacteristic
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—42no—
1174C2×Q8—44no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—44no—
1181C2×Q8C2×#4114yes—
1182C2×D4—28no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4C2×#4114yes—
1338C4⋊C4C2×#4118yes—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—28no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—24no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—24no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—41no—
1404C42—41no—
1405C42—41no—
1406C42—41no—
1407C42—41no—
1408C42—42no—
1409C42—42no—
1410C42—44no—
1411C42—44no—
1412C42—42no—
1413C42—42no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42C2×#4114yes—
1419C42C2×#4118yes—
1420C42H(5,𝔽2)14yes—
1421C422−1+414yes—
1422C422−1+414yes—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—24no—
1430C23—24no—
1431C23—24no—
1432C23—24no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23#58512yes—
1437C23C2611yescharacteristic
1438Q8—28no—
1439Q8—48no—
1440Q8—44no—
1441Q8—48no—
1442Q8—84no—
1443Q8—84no—
1444Q8—88no—
1445D4—48no—
1446D4—48no—
1447D4—84no—
1448D4—88no—
1449C2×C4—28no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—88no—
1540C2×C4—88no—
1541C2×C4—88no—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4114yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4114yes—
1546C2×C4C22×#4112yes—
1547C2×C4C2×H(5,𝔽2)12yes—
1548C2×C4C2×H(5,𝔽2)12yes—
1549C2×C4C2×H(5,𝔽2)12yes—
1550C2×C4C2×2−1+412yes—
1551C2×C4C2×2−1+412yes—
1552C2×C4C2×2−1+412yes—
1553C2×C4C2×2−1+412yes—
1554C2×C4C2×2−1+412yes—
1555C2×C4C2×2−1+412yes—
1556C2×C4#58512yes—
1557C2×C4#58512yes—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—44no—
1566C22—44no—
1567C22—44no—
1568C22—44no—
1569C22—44no—
1570C22—44no—
1571C22—44no—
1572C22C23×#4111yescharacteristic
1573C22C22×H(5,𝔽2)11yescharacteristic
1574C22C22×2−1+411yescharacteristic
1575C22C22×2−1+411yescharacteristic
1576C22C2×#58511yescharacteristic
1577C22C2×#58511yescharacteristic
1578C22C2×#58511yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—24no—
1583C4—22no—
1584C4—22no—
1585C4—24no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—42no—
1591C4—42no—
1592C4—44no—
1593C4—42no—
1594C4—42no—
1595C4—41no—
1596C4—42no—
1597C4—42no—
1598C4—41no—
1599C4—44no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—42no—
1608C4—42no—
1609C4—44no—
1610C4#351114yes—
1611C4#355514yes—
1612C2—42no—
1613C2—84no—
1614C2#6274811yescharacteristic
1615C2C2×#355511yescharacteristic
1616C2#6278811yescharacteristic
1617C2C2×#351111yescharacteristic
1618C2#6281611yescharacteristic
1619C2#6283111yescharacteristic
1620C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2856C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59681C2semidirect
2. #59679C2semidirect
3. #59459C2semidirect
4. #59457C2semidirect
5. #59082C2semidirect
6. #59069C2semidirect
7. #45899C2semidirect
8. #45654C2semidirect
9. #45633C2semidirect
10. #40453C2semidirect
11. #40027C2semidirect
12. #39977C2semidirect
13. #39925C2semidirect
14. #39879C2semidirect
15. #39162C2semidirect
16. #39149C2semidirect
18. #38980C2semidirect
19. #38943C2semidirect
21. #38751C2semidirect
22. #37581C2semidirect
23. #36827C2semidirect
24. #36635C2semidirect
26. #36535C2semidirect
27. #36503C2semidirect
28. #36466C2semidirect
29. #36372C2semidirect
30. #36271C2semidirect
31. #36271C2semidirect
32. #35185C2semidirect
33. #35116C2semidirect
34. #34499C2semidirect
35. C4×#533C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#596792
#594592
#594572
#590822
#590692
#458992
#456542
#456332
#404532
#400272
#399772
#399252
#398792
#391622
#391492
#391472
#389802
#389432
#389412
#387512
#375812
#368272
#366352
#366312
#365352
#365032
#364662
#363722
#362712
#351852
#351162
#344992
C4×#5332