Finite Group Databasebeta

← #7709538

Subgroups — #7709538

Order 512.

4672 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59715C212yesmaximal, complemented
2#59666C211yesmaximal, characteristic, complemented
3#59642C211yesmaximal, characteristic, complemented
4#59501C212yesmaximal, complemented
5#59459C211yesmaximal, characteristic, complemented
6#59427C211yesmaximal, characteristic, complemented
7#46344C212yesmaximal, complemented
8#46343C212yesmaximal, complemented
9#45931C214yesmaximal, complemented
10#40470C214yesmaximal, complemented
11#40022C212yesmaximal, complemented
12#39974C212yesmaximal, complemented
13#39604C212yesmaximal, complemented
14#39465C212yesmaximal, complemented
15#39293C212yesmaximal, complemented
16#39200C211yesmaximal, characteristic, complemented
17#39180C211yesmaximal, characteristic, complemented
18#39077C212yesmaximal, complemented
19#38984C211yesmaximal, characteristic, complemented
20#38964C211yesmaximal, characteristic, complemented
21#37967C214yesmaximal, complemented
22#37503C212yesmaximal, complemented
23#36824C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic
25#36635C211yesmaximal, characteristic, complemented
26#36199C212yesmaximal, complemented
27#36186C211yesmaximal, characteristic
28#36177C211yesmaximal, characteristic, complemented
29#36140C212yesmaximal
30#36133C211yesmaximal, characteristic, complemented
31#36116C211yesmaximal, characteristic
32#35179C212yesmaximal, complemented
33#35111C212yesmaximal
34#34465C212yesmaximal, complemented
35C2×C4×C4⋊Q8C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#533C2212yes—
38C22×C4⋊Q8C2211yescharacteristic
39C2×#529C2212yes—
40C22×C4×Q8C2212yes—
41#2866C2212yes—
42#2865C2212yes—
43#2864C2212yes—
44#2864C2211yescharacteristic
45#2863C2212yes—
46#2863C2211yescharacteristic
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2861C2211yescharacteristic
50#2860C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2855C2212yes—
55#2855C2212yes—
56#2855C2212yes—
57#2855C2211yescharacteristic
58#2855C2212yes—
59#2855C2212yes—
60#2854C2211yescharacteristic
61#2854C2212yes—
62#2853C2212yes—
63#2852C2212yes—
64#2851C2212yes—
65#2851C2211yescharacteristic
66#2850C2211yescharacteristic
67#2839C2214yes—
68#2838C2214yes—
69#2807C2214yes—
70#2805C2214yes—
71#2802C2214yes—
72#2792C2214yes—
73#2792C2214yes—
74#2791C2214yes—
75#2791C2214yes—
76#2790C2214yes—
77#2783C2214yes—
78#2777C2214yes—
79#2776C2214yes—
80#2773C2214yes—
81#2769C2214yes—
82#2767C2214yes—
83#2765C2214yes—
84#2764C2214yes—
85#2763C2214yes—
86#2762C2214yes—
87#2762C2214yes—
88#2759C2214yes—
89#2758C2214yes—
90#2755C2214yes—
91#2754C2214yes—
92#2726C2214yes—
93#2721C2214yes—
94#2720C2214yes—
95#2720C2214yes—
96#2716C2214yes—
97#2716C2214yes—
98#2713C2214yes—
99#2713C2214yes—
100#2689C2214yes—
101#2666C2214yes—
102#2654C2214yes—
103#2647C2212yes—
104#2645C2212yes—
105#2628C2212yes—
106#2627C2214yes—
107#2627C2214yes—
108#2625C2212yes—
109#2623C2214yes—
110#2614C2214yes—
111#2612C2214yes—
112#2605C2214yes—
113#2604C2214yes—
114#2604C2214yes—
115#2599C2214yes—
116#2599C2214yes—
117#2592C2212yes—
118#2592C2212yes—
119#2589C2214yes—
120#2586C2214yes—
121#2584C2212yes—
122#2584C2212yes—
123#2582C2212yes—
124#2582C2212yes—
125#2582C2212yes—
126#2582C2212yes—
127#2581C2212yes—
128#2581C2214yes—
129#2581C2212yes—
130#2581C2214yes—
131#2580C2212yes—
132#2580C2212yes—
133#2571C2211yescharacteristic
134#2570C2212yes—
135#2568C2212yes—
136#2568C2211yescharacteristic
137#2568C2212yes—
138#2567C2212yes—
139#2567C2212yes—
140#2567C2212yes—
141#2565C2212yes—
142#2565C2214yes—
143#2565C2214yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2552C2212yes—
147#2551C2211yescharacteristic
148#2550C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2547C2211yescharacteristic
152#2546C2211yescharacteristic
153#2545C2212yes—
154#2542C2211yescharacteristic
155#2533C2214yes—
156#2532C2214yes—
157#2532C2214yes—
158#2528C2214yes—
159#2527C2214yes—
160#2524C2214yes—
161#2524C2214yes—
162#2520C2214yes—
163#2519C2214yes—
164#2519C2214yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2512C2212yes—
169#2511C2212yes—
170#2511C2212yes—
171#2509C2212yes—
172#2508C2212yes—
173#2508C2212yes—
174#2507C2212yes—
175#2506C2212yes—
176#2506C2212yes—
177#2506C2212yes—
178#2503C2212yes—
179#2502C2212yes—
180#2498C2214yes—
181#2497C2212yes—
182#2496C2212yes—
183#2495C2212yes—
184#2493C2214yes—
185#2493C2214yes—
186#2492C2212yes—
187#2492C2212yes—
188#2489C2212yes—
189#2488C2214yes—
190#2486C2212yes—
191#2484C2214yes—
192#2478C2214yes—
193#2475C2214yes—
194#2473C2214yes—
195#2469C2214yes—
196#2462C2214yes—
197#2453C2212yes—
198#2453C2212yes—
199#2452C2212yes—
200#2451C2212yes—
201#2451C2212yes—
202#2451C2212yes—
203#2451C2212yes—
204#2449C2214yes—
205#2448C2212yes—
206#2447C2212yes—
207#2446C2212yes—
208#2446C2212yes—
209#2440C2212yes—
210#2440C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2438C2214yes—
214#2423C2212yes—
215#2423C2212yes—
216#2419C2214yes—
217#2417C2212yes—
218#2413C2214yes—
219#2383C2214yes—
220#2382C2214yes—
221#2371C2214yes—
222#2370C2212yes—
223#2370C2212yes—
224#2367C2212yes—
225#2365C2211yescharacteristic
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2212yes—
229#2365C2211yescharacteristic
230#2362C2214yes—
231#2362C2212yes—
232#2360C2212yes—
233#2360C2212yes—
234#2359C2214yes—
235#2356C2212yes—
236#2356C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239#2351C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2212yes—
244#2346C2212yes—
245#2344C2212yes—
246#2344C2212yes—
247#2343C2214yes—
248#2334C2214yes—
249#2330C2212yes—
250#2330C2214yes—
251#2323C2212yes—
252#2322C2214yes—
253#2322C2214yes—
254#2320C2212yes—
255#2317C2212yes—
256#2317C2214yes—
257#2310C2214yes—
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#126C2212yes—
275C4×#124C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2212yes—
280C4×#121C2211yescharacteristic
281#2298C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2212yes—
285C2×#391C2212yes—
286#2293C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2212yes—
290#2290C2212yes—
291#2285C2212yes—
292C2×#384C2211yescharacteristic
293#2283C2212yes—
294#2283C2212yes—
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C23×Q8C2312yes—
300#552—216no—
301#533—48no—
302C2×C4⋊Q8—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314#529—48no—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×#121C2311yescharacteristic
338C2×C4×Q8—48no—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384#401C2314yes—
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#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2314yes—
705#384C2314yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#383C2312yes—
711#383C2314yes—
712#383C2314yes—
713#383C2314yes—
714#383C2314yes—
715#383C2314yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2314yes—
725#382C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2314yes—
729#382C2312yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2314yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8—28no—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852#126—216no—
853#126—44no—
854#126—48no—
855#125—216no—
856#125—28no—
857#125—24no—
858#125—44no—
859#125—44no—
860#125—48no—
861#125—48no—
862#124—24no—
863#124—44no—
864#123—216no—
865#123—28no—
866#123—48no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—48no—
872C22⋊Q8—48no—
873C22⋊Q8—44no—
874#121—24no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—48no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—44no—
895C4×D4—48no—
896#117—216no—
897#117—28no—
898#117—44no—
899#117—48no—
900#117—48no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4—24no—
903C2×C4⋊C4—42no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—42no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4#4118yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C42—24no—
1022C2×C42—24no—
1023C2×C42—28no—
1024C2×C42—28no—
1025C2×C42—24no—
1026C2×C42—24no—
1027C2×C42—24no—
1028C2×C42—42no—
1029C2×C42—42no—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2511yescharacteristic
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—432no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4C2×#4114yes—
1229C22×C4C2×#4118yes—
1230C22×C4H(5,𝔽2)14yes—
1231C22×C42−1+414yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4C2×#4114yes—
1349C4⋊C4C2×#4114yes—
1350C4⋊C4C2×#4118yes—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—28no—
1380C42—28no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—24no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—28no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—44no—
1420C42—44no—
1421C422−1+414yes—
1422C422−1+414yes—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23C22×#4112yes—
1435C23C2×H(5,𝔽2)12yes—
1436C23C2×2−1+412yes—
1437C23C2611yescharacteristic
1438Q8—48no—
1439Q8—48no—
1440Q8—48no—
1441Q8—48no—
1442Q8—48no—
1443Q8—48no—
1444Q8—44no—
1445Q8—88no—
1446D4—48no—
1447D4—44no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—216no—
1470C2×C4—28no—
1471C2×C4—28no—
1472C2×C4—28no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—84no—
1542C2×C4—84no—
1543C2×C4—88no—
1544C2×C4C22×#4114yes—
1545C2×C4C22×#4112yes—
1546C2×C4C22×#4114yes—
1547C2×C4C22×#4112yes—
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×C4C2×2−1+412yes—
1557C2×C4C2×2−1+412yes—
1558C2×C4#58512yes—
1559C2×C4#58512yes—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22#352014yes—
1574C22C23×#4111yescharacteristic
1575C22C22×H(5,𝔽2)11yescharacteristic
1576C22C22×2−1+411yescharacteristic
1577C22C22×2−1+411yescharacteristic
1578C22C22×2−1+411yescharacteristic
1579C22C2×#58511yescharacteristic
1580C22C2×#58511yescharacteristic
1581C4—22no—
1582C4—24no—
1583C4—24no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—44no—
1592C4—42no—
1593C4—41no—
1594C4—41no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—44no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—44no—
1606C4—42no—
1607C4—44no—
1608C4—42no—
1609C4—42no—
1610C4—41no—
1611C4—41no—
1612C4#350714yes—
1613C4#354414yes—
1614C2—24no—
1615C2—82no—
1616C2C2×#354411yescharacteristic
1617C2#6275911yescharacteristic
1618C2C2×#352011yescharacteristic
1619C2C2×#350711yescharacteristic
1620C2#6278811yescharacteristic
1621C2#6283711yescharacteristic
1622C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59715C2semidirect
2. #59666C2semidirect
3. #59642C2semidirect
4. #59501C2semidirect
5. #59459C2semidirect
6. #59427C2semidirect
7. #46344C2semidirect
8. #46343C2semidirect
9. #45931C2semidirect
10. #40470C2semidirect
11. #40022C2semidirect
12. #39974C2semidirect
13. #39604C2semidirect
14. #39465C2semidirect
15. #39293C2semidirect
16. #39200C2semidirect
17. #39180C2semidirect
18. #39077C2semidirect
19. #38984C2semidirect
20. #38964C2semidirect
21. #37967C2semidirect
22. #37503C2semidirect
23. #36824C2semidirect
25. #36635C2semidirect
26. #36199C2semidirect
28. #36177C2semidirect
30. #36133C2semidirect
32. #35179C2semidirect
34. #34465C2semidirect
35. C2×C4×C4⋊Q8C2semidirect

Maximal subgroups

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

subgroupindex
#597152
#596662
#596422
#595012
#594592
#594272
#463442
#463432
#459312
#404702
#400222
#399742
#396042
#394652
#392932
#392002
#391802
#390772
#389842
#389642
#379672
#375032
#368242
#366382
#366352
#361992
#361862
#361772
#361402
#361332
#361162
#351792
#351112
#344652
C2×C4×C4⋊Q82