Finite Group Databasebeta

← #7986739

Subgroups — #7986739

Order 512.

5282 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59450C211yesmaximal, characteristic, complemented
2#59275C212yesmaximal, complemented
3#59058C212yesmaximal, complemented
4#59050C211yesmaximal, characteristic, complemented
5#59033C211yesmaximal, characteristic, complemented
6#51918C214yesmaximal, complemented
7#50843C214yesmaximal, complemented
8#46109C212yesmaximal, complemented
9#45518C212yesmaximal, complemented
10#45205C212yesmaximal, complemented
11#45092C212yesmaximal, complemented
12#44118C214yesmaximal, complemented
13#42533C212yesmaximal, complemented
14#42433C212yesmaximal, complemented
15#41643C214yesmaximal, complemented
16#40153C212yesmaximal, complemented
17#40126C212yesmaximal, complemented
18#39793C212yesmaximal, complemented
19#39735C212yesmaximal, complemented
20#39469C211yesmaximal, characteristic, complemented
21#39138C211yesmaximal, characteristic, complemented
22#37785C212yesmaximal, complemented
23#36472C211yesmaximal, characteristic, complemented
24#36463C211yesmaximal, characteristic, complemented
25#36412C211yesmaximal, characteristic, complemented
26#36211C212yesmaximal, complemented
27#36193C211yesmaximal, characteristic, complemented
28#36150C211yesmaximal, characteristic, complemented
29#35201C211yesmaximal, characteristic, complemented
30#35166C211yesmaximal, characteristic, complemented
31#35038C212yesmaximal, complemented
32#34932C211yesmaximal, characteristic, complemented
33#34889C211yesmaximal, characteristic, complemented
34#34414C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#553C2212yes—
39C2×#550C2211yescharacteristic
40C2×#537C2212yes—
41C2×#537C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×#529C2212yes—
47#2861C2212yes—
48#2860C2212yes—
49#2859C2212yes—
50#2858C2211yescharacteristic
51#2857C2211yescharacteristic
52#2856C2211yescharacteristic
53#2856C2212yes—
54#2856C2212yes—
55#2856C2212yes—
56#2855C2212yes—
57#2854C2212yes—
58#2837C2214yes—
59#2815C2214yes—
60#2803C2214yes—
61#2797C2214yes—
62#2796C2214yes—
63#2777C2214yes—
64#2773C2214yes—
65#2771C2214yes—
66#2753C2214yes—
67#2753C2214yes—
68#2752C2214yes—
69#2752C2214yes—
70#2749C2214yes—
71#2743C2214yes—
72#2730C2214yes—
73#2727C2214yes—
74#2723C2214yes—
75#2714C2214yes—
76#2714C2214yes—
77#2714C2214yes—
78#2714C2214yes—
79#2712C2214yes—
80#2703C2214yes—
81#2703C2214yes—
82#2703C2214yes—
83#2702C2214yes—
84#2699C2214yes—
85#2699C2214yes—
86#2696C2214yes—
87#2689C2214yes—
88#2688C2214yes—
89#2688C2214yes—
90#2676C2214yes—
91#2673C2214yes—
92#2673C2214yes—
93#2663C2214yes—
94#2661C2214yes—
95#2656C2214yes—
96#2648C2214yes—
97#2635C2214yes—
98#2635C2214yes—
99#2619C2212yes—
100#2619C2214yes—
101#2615C2212yes—
102#2604C2214yes—
103#2603C2214yes—
104#2595C2214yes—
105#2575C2214yes—
106#2575C2214yes—
107#2571C2212yes—
108#2568C2211yescharacteristic
109#2567C2211yescharacteristic
110#2563C2211yescharacteristic
111#2559C2214yes—
112#2559C2212yes—
113#2557C2212yes—
114#2557C2214yes—
115#2555C2214yes—
116#2555C2214yes—
117#2553C2214yes—
118#2552C2211yescharacteristic
119#2550C2211yescharacteristic
120#2547C2211yescharacteristic
121#2544C2212yes—
122#2544C2211yescharacteristic
123#2542C2212yes—
124#2542C2211yescharacteristic
125#2542C2211yescharacteristic
126#2541C2212yes—
127#2541C2211yescharacteristic
128#2541C2211yescharacteristic
129#2541C2212yes—
130#2541C2212yes—
131#2540C2212yes—
132#2540C2212yes—
133#2540C2211yescharacteristic
134#2540C2214yes—
135#2540C2212yes—
136#2540C2212yes—
137#2537C2211yescharacteristic
138#2535C2212yes—
139#2535C2212yes—
140#2535C2211yescharacteristic
141#2535C2212yes—
142#2521C2212yes—
143#2520C2214yes—
144#2516C2214yes—
145#2513C2212yes—
146#2513C2214yes—
147#2513C2214yes—
148#2513C2214yes—
149#2511C2212yes—
150#2511C2212yes—
151#2508C2212yes—
152#2507C2212yes—
153#2503C2212yes—
154#2500C2212yes—
155#2500C2212yes—
156#2499C2212yes—
157#2496C2212yes—
158#2492C2211yescharacteristic
159#2490C2212yes—
160#2490C2212yes—
161#2490C2211yescharacteristic
162#2490C2212yes—
163#2490C2212yes—
164#2490C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2488C2214yes—
168#2485C2212yes—
169#2477C2214yes—
170#2471C2214yes—
171#2467C2214yes—
172#2464C2212yes—
173#2464C2214yes—
174#2464C2214yes—
175#2459C2214yes—
176#2456C2214yes—
177#2456C2214yes—
178#2454C2212yes—
179#2448C2212yes—
180#2448C2214yes—
181#2447C2212yes—
182#2447C2212yes—
183#2445C2214yes—
184#2445C2212yes—
185#2444C2214yes—
186#2444C2214yes—
187#2442C2212yes—
188#2441C2212yes—
189#2439C2212yes—
190#2438C2214yes—
191#2431C2212yes—
192#2431C2212yes—
193#2431C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2428C2211yescharacteristic
198#2428C2212yes—
199#2428C2214yes—
200#2427C2212yes—
201#2427C2212yes—
202#2427C2211yescharacteristic
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2422C2212yes—
207#2422C2212yes—
208#2421C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2214yes—
212#2420C2214yes—
213#2416C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2214yes—
221#2414C2214yes—
222#2414C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2395C2212yes—
227#2395C2214yes—
228#2388C2212yes—
229#2378C2214yes—
230#2377C2214yes—
231#2374C2212yes—
232#2373C2212yes—
233#2370C2212yes—
234#2370C2211yescharacteristic
235#2369C2211yescharacteristic
236#2368C2214yes—
237#2367C2212yes—
238#2366C2212yes—
239#2366C2211yescharacteristic
240#2364C2212yes—
241#2363C2212yes—
242#2363C2212yes—
243#2363C2212yes—
244#2363C2214yes—
245#2363C2214yes—
246#2363C2211yescharacteristic
247#2362C2212yes—
248#2361C2212yes—
249#2361C2211yescharacteristic
250#2360C2212yes—
251#2357C2211yescharacteristic
252#2357C2212yes—
253#2357C2212yes—
254#2355C2211yescharacteristic
255#2354C2212yes—
256#2353C2212yes—
257#2352C2211yescharacteristic
258D4×C4⋊C4C2211yescharacteristic
259#2347C2211yescharacteristic
260#2345C2211yescharacteristic
261#2344C2212yes—
262#2341C2212yes—
263#2339C2212yes—
264#2339C2212yes—
265#2335C2214yes—
266#2333C2214yes—
267#2333C2214yes—
268#2325C2214yes—
269#2324C2214yes—
270#2324C2212yes—
271#2323C2212yes—
272#2323C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×#123C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289#2297C2212yes—
290#2297C2212yes—
291#2285C2212yes—
292#2285C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#555—44no—
303#553—28no—
304#553—48no—
305#550—44no—
306#537—216no—
307#537—48no—
308#533—44no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2314yes—
320#529—44no—
321#529—48no—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2314yes—
426C2×#117C2314yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2312yes—
433C22×C42C2312yes—
434C22×C42C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#395C2314yes—
478#395C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2312yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2312yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2312yes—
542#391C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
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#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#383C2312yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2314yes—
727#382C2314yes—
728#382C2312yes—
729#382C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2312yes—
735#381C2314yes—
736#381C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—42no—
881#127—24no—
882#127—44no—
883#127—44no—
884#127—42no—
885#127—44no—
886#127—84no—
887#126—28no—
888#126—44no—
889#126—48no—
890#126—48no—
891#125—24no—
892#125—28no—
893#125—42no—
894#125—44no—
895#124—44no—
896#124—44no—
897#124—42no—
898#124—42no—
899#124—44no—
900#124—44no—
901#124—48no—
902#124—82no—
903#123—28no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—44no—
908C22⋊Q8—28no—
909C22⋊Q8—28no—
910C22⋊Q8—216no—
911C22⋊Q8—28no—
912C22⋊Q8—48no—
913C22⋊Q8—42no—
914C22⋊Q8—42no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—82no—
919#121—216no—
920#121—216no—
921#121—28no—
922#121—24no—
923#121—28no—
924#121—28no—
925#121—216no—
926#121—24no—
927#121—28no—
928#121—44no—
929#121—48no—
930#121—44no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—44no—
936#121—44no—
937#121—42no—
938#121—44no—
939#121—42no—
940#121—42no—
941#121—44no—
942#121—42no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—82no—
951#121—84no—
952#121—84no—
953C4×Q8—24no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×D4—28no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—24no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—42no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—48no—
982C4×D4—84no—
983C4×D4—84no—
984#117—24no—
985#117—24no—
986#117—44no—
987#117—48no—
988#117—44no—
989#117—44no—
990#117—44no—
991#117—84no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4#4118yescomplemented
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C42—24no—
1120C2×C42—24no—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24C2511yescharacteristic
1216C24C2512yes—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2514yes—
1220C24C2511yescharacteristic
1221#41—816no—
1222#41—816no—
1223#41—816no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—41no—
1263C2×D4—42no—
1264C2×D4—41no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—28no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—42no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—42no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4C2×#4114yes—
1367C22×C4C2×#4118yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2514yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—24no—
1413C4⋊C4—28no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—28no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4C2×#4114yes—
1447C4⋊C4C2×#4114yes—
1448C4⋊C4C2×#4118yes—
1449C4⋊C4H(5,𝔽2)14yes—
1450C22⋊C4—22no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—22no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—22no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—22no—
1538C42—22no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—42no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—42no—
1551C42—42no—
1552C42—41no—
1553C42H(5,𝔽2)14yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—22no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—21no—
1573C23—22no—
1574C23—24no—
1575C23—24no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—24no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—21no—
1595C23C22×#4112yes—
1596C23C2611yescharacteristic
1597Q8—48no—
1598Q8—44no—
1599Q8—84no—
1600Q8—84no—
1601D4—44no—
1602D4—48no—
1603D4—44no—
1604D4—48no—
1605D4—44no—
1606D4—44no—
1607D4—48no—
1608D4—88no—
1609D4—84no—
1610D4—88no—
1611D4—88no—
1612D4—84no—
1613D4—84no—
1614D4—84no—
1615D4—84no—
1616D4—88no—
1617D4—84no—
1618D4—88no—
1619D4—84no—
1620D4—84no—
1621D4—88no—
1622D4—164no—
1623D4—164no—
1624D4—164no—
1625D4—164no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—28no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—21no—
1702C2×C4—48no—
1703C2×C4—48no—
1704C2×C4—44no—
1705C2×C4—48no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—48no—
1710C2×C4—84no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—82no—
1714C2×C4—82no—
1715C2×C4—88no—
1716C2×C4—84no—
1717C2×C4—88no—
1718C2×C4—164no—
1719C2×C4—164no—
1720C2×C4C22×#4114yes—
1721C2×C4C22×#4114yes—
1722C2×C4C22×#4112yes—
1723C2×C4C22×#4112yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×H(5,𝔽2)14yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4#58512yes—
1730C2×C4#58512yes—
1731C2×C4#58512yes—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—41no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—41no—
1753C22—44no—
1754C22—41no—
1755C22—42no—
1756C22—44no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—41no—
1762C22—44no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—44no—
1767C22—42no—
1768C22—41no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22C23×#4111yescharacteristic
1775C22C22×H(5,𝔽2)11yescharacteristic
1776C22C22×H(5,𝔽2)11yescharacteristic
1777C22C2×#58511yescharacteristic
1778C22C2×#58511yescharacteristic
1779C22C2×#58511yescharacteristic
1780C22H(7,𝔽2)11yescharacteristic
1781C4—24no—
1782C4—24no—
1783C4—22no—
1784C4—24no—
1785C4—22no—
1786C4—22no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4—42no—
1796C4—41no—
1797C4—42no—
1798C4—42no—
1799C4—44no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4—44no—
1804C4—41no—
1805C4—41no—
1806C4—42no—
1807C4—44no—
1808C4#350814yes—
1809C4#355114yes—
1810C2—42no—
1811C2—82no—
1812C2—81no—
1813C2—84no—
1814C2—82no—
1815C2—82no—
1816C2C2×#355111yescharacteristic
1817C2#6279311yescharacteristic
1818C2C2×#350811yescharacteristic
1819C2#6292311yescharacteristic
1820C2#6295511yescharacteristic
1821C2#6299211yescharacteristic
1822C2#6301811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59450C2semidirect
2. #59275C2semidirect
3. #59058C2semidirect
4. #59050C2semidirect
5. #59033C2semidirect
6. #51918C2semidirect
7. #50843C2semidirect
8. #46109C2semidirect
9. #45518C2semidirect
10. #45205C2semidirect
11. #45092C2semidirect
12. #44118C2semidirect
13. #42533C2semidirect
14. #42433C2semidirect
15. #41643C2semidirect
16. #40153C2semidirect
17. #40126C2semidirect
18. #39793C2semidirect
19. #39735C2semidirect
20. #39469C2semidirect
21. #39138C2semidirect
22. #37785C2semidirect
23. #36472C2semidirect
24. #36463C2semidirect
25. #36412C2semidirect
26. #36211C2semidirect
27. #36193C2semidirect
28. #36150C2semidirect
29. #35201C2semidirect
30. #35166C2semidirect
31. #35038C2semidirect
32. #34932C2semidirect
33. #34889C2semidirect
34. #34414C2semidirect
35. C4×#553C2semidirect
994. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#594502
#592752
#590582
#590502
#590332
#519182
#508432
#461092
#455182
#452052
#450922
#441182
#425332
#424332
#416432
#401532
#401262
#397932
#397352
#394692
#391382
#377852
#364722
#364632
#364122
#362112
#361932
#361502
#352012
#351662
#350382
#349322
#348892
#344142
C4×#5532