Finite Group Databasebeta

← #7986727

Subgroups — #7986727

Order 512.

5584 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59097C212yesmaximal, complemented
3#59051C211yesmaximal, characteristic, complemented
4#59049C212yesmaximal, complemented
5#59049C211yesmaximal, characteristic, complemented
6#51918C214yesmaximal, complemented
7#50846C214yesmaximal, complemented
8#46050C212yesmaximal, complemented
9#45518C212yesmaximal, complemented
10#45302C212yesmaximal, complemented
11#45258C212yesmaximal, complemented
12#43191C214yesmaximal, complemented
13#42759C212yesmaximal, complemented
14#42433C212yesmaximal, complemented
15#40951C214yesmaximal, complemented
16#40203C212yesmaximal, complemented
17#40076C212yesmaximal, complemented
18#39725C212yesmaximal, complemented
19#39471C211yesmaximal, characteristic, complemented
20#39220C212yesmaximal, complemented
21#39136C211yesmaximal, characteristic, complemented
22#37780C212yesmaximal, complemented
23#36473C211yesmaximal, characteristic, complemented
24#36454C211yesmaximal, characteristic, complemented
25#36406C211yesmaximal, characteristic, complemented
26#36150C212yesmaximal, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36133C211yesmaximal, characteristic, complemented
29#35191C211yesmaximal, characteristic, complemented
30#35166C211yesmaximal, characteristic, complemented
31#35038C212yesmaximal, complemented
32#34925C211yesmaximal, characteristic, complemented
33#34889C211yesmaximal, characteristic, complemented
34#34410C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#553C2211yescharacteristic
39C2×#550C2212yes—
40C2×#547C2211yescharacteristic
41C2×#537C2212yes—
42C2×#537C2212yes—
43C2×#533C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2212yes—
48C2×#532C2212yes—
49C2×#529C2211yescharacteristic
50#2862C2211yescharacteristic
51#2861C2212yes—
52#2860C2212yes—
53#2858C2212yes—
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2212yes—
57#2856C2212yes—
58#2856C2212yes—
59#2855C2212yes—
60#2855C2212yes—
61#2828C2214yes—
62#2815C2214yes—
63#2803C2214yes—
64#2797C2214yes—
65#2797C2214yes—
66#2796C2214yes—
67#2777C2214yes—
68#2771C2214yes—
69#2754C2214yes—
70#2752C2214yes—
71#2749C2214yes—
72#2743C2214yes—
73#2727C2214yes—
74#2723C2214yes—
75#2714C2214yes—
76#2714C2214yes—
77#2714C2214yes—
78#2714C2214yes—
79#2714C2214yes—
80#2711C2214yes—
81#2711C2214yes—
82#2710C2214yes—
83#2705C2214yes—
84#2703C2214yes—
85#2702C2214yes—
86#2700C2214yes—
87#2699C2214yes—
88#2699C2214yes—
89#2696C2214yes—
90#2691C2214yes—
91#2688C2214yes—
92#2676C2214yes—
93#2676C2214yes—
94#2673C2214yes—
95#2673C2214yes—
96#2661C2214yes—
97#2656C2214yes—
98#2651C2214yes—
99#2649C2214yes—
100#2648C2214yes—
101#2635C2214yes—
102#2620C2212yes—
103#2619C2214yes—
104#2615C2212yes—
105#2604C2214yes—
106#2603C2214yes—
107#2602C2214yes—
108#2595C2214yes—
109#2580C2214yes—
110#2575C2214yes—
111#2559C2212yes—
112#2559C2214yes—
113#2557C2212yes—
114#2555C2214yes—
115#2555C2214yes—
116#2553C2214yes—
117#2553C2214yes—
118#2551C2211yescharacteristic
119#2550C2211yescharacteristic
120#2548C2212yes—
121#2548C2214yes—
122#2548C2212yes—
123#2548C2211yescharacteristic
124#2547C2211yescharacteristic
125#2546C2211yescharacteristic
126#2544C2211yescharacteristic
127#2542C2212yes—
128#2542C2211yescharacteristic
129#2542C2211yescharacteristic
130#2541C2211yescharacteristic
131#2541C2211yescharacteristic
132#2541C2212yes—
133#2541C2211yescharacteristic
134#2541C2212yes—
135#2540C2212yes—
136#2540C2211yescharacteristic
137#2540C2212yes—
138#2540C2212yes—
139#2540C2214yes—
140#2540C2212yes—
141#2540C2212yes—
142#2538C2212yes—
143#2538C2212yes—
144#2537C2211yescharacteristic
145#2535C2212yes—
146#2535C2211yescharacteristic
147#2521C2212yes—
148#2521C2214yes—
149#2517C2214yes—
150#2513C2212yes—
151#2511C2212yes—
152#2506C2212yes—
153#2500C2212yes—
154#2499C2212yes—
155#2496C2212yes—
156#2492C2212yes—
157#2492C2211yescharacteristic
158#2492C2212yes—
159#2491C2212yes—
160#2491C2212yes—
161#2491C2212yes—
162#2490C2214yes—
163#2490C2211yescharacteristic
164#2490C2212yes—
165#2489C2212yes—
166#2487C2212yes—
167#2467C2214yes—
168#2467C2214yes—
169#2467C2214yes—
170#2465C2214yes—
171#2464C2214yes—
172#2464C2212yes—
173#2462C2214yes—
174#2459C2214yes—
175#2456C2214yes—
176#2456C2214yes—
177#2454C2214yes—
178#2451C2212yes—
179#2450C2214yes—
180#2448C2214yes—
181#2448C2212yes—
182#2448C2214yes—
183#2447C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2446C2212yes—
187#2445C2212yes—
188#2441C2212yes—
189#2440C2212yes—
190#2438C2214yes—
191#2432C2212yes—
192#2432C2212yes—
193#2431C2212yes—
194#2431C2212yes—
195#2431C2212yes—
196#2431C2214yes—
197#2431C2212yes—
198#2430C2214yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2211yescharacteristic
202#2428C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2427C2211yescharacteristic
207#2427C2212yes—
208#2427C2212yes—
209#2426C2212yes—
210#2426C2214yes—
211#2426C2212yes—
212#2422C2212yes—
213#2421C2212yes—
214#2420C2212yes—
215#2420C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2214yes—
221#2414C2212yes—
222#2414C2212yes—
223#2414C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2214yes—
228#2407C2212yes—
229#2395C2212yes—
230#2388C2212yes—
231#2388C2214yes—
232#2377C2214yes—
233#2377C2214yes—
234#2374C2212yes—
235#2373C2212yes—
236#2370C2211yescharacteristic
237#2367C2212yes—
238#2367C2212yes—
239#2365C2211yescharacteristic
240#2365C2212yes—
241#2365C2211yescharacteristic
242#2364C2214yes—
243#2364C2212yes—
244#2363C2212yes—
245#2363C2214yes—
246#2363C2212yes—
247#2363C2211yescharacteristic
248#2362C2212yes—
249#2361C2212yes—
250#2361C2211yescharacteristic
251#2360C2212yes—
252#2360C2212yes—
253#2357C2211yescharacteristic
254#2355C2212yes—
255#2354C2211yescharacteristic
256#2353C2212yes—
257#2352C2211yescharacteristic
258Q8×C4⋊C4C2211yescharacteristic
259#2349C2212yes—
260#2347C2211yescharacteristic
261#2345C2211yescharacteristic
262#2344C2212yes—
263#2341C2214yes—
264#2341C2212yes—
265#2339C2212yes—
266#2339C2212yes—
267#2335C2214yes—
268#2333C2214yes—
269#2332C2214yes—
270#2329C2214yes—
271#2324C2212yes—
272#2324C2214yes—
273#2324C2212yes—
274#2323C2212yes—
275#2311C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×#127C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#126C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2297C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303C22×#41C2312yes—
304#556—48no—
305#556—44no—
306#553—28no—
307#550—48no—
308#547—44no—
309#537—216no—
310#537—48no—
311#533—48no—
312#532—44no—
313#532—44no—
314#532—44no—
315#532—48no—
316#532—48no—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2314yes—
327C2×#127C2312yes—
328C2×#127C2311yescharacteristic
329#529—44no—
330C2×#126C2312yes—
331C2×#126C2312yes—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#125C2311yescharacteristic
336C2×#125C2311yescharacteristic
337C2×#125C2314yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2311yescharacteristic
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2314yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2314yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2314yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×#117C2311yescharacteristic
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2314yes—
437C2×#117C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2312yes—
444C22×C42C2312yes—
445C22×C42C2312yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2312yes—
452#399C2314yes—
453#399C2312yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2312yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2312yes—
533#392C2314yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#391C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#383C2312yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2314yes—
735#382C2312yes—
736#382C2311yescharacteristic
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819#376C2312yes—
820C2×#95C2314yes—
821C2×#95C2312yes—
822C43C2312yes—
823C43C2311yescharacteristic
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—48no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—48no—
832C2×#41—48no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2414yes—
843C22×Q8C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C4⋊Q8—28no—
889C4⋊Q8—28no—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—42no—
893C4⋊Q8—44no—
894#127—24no—
895#127—42no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—48no—
900#126—28no—
901#126—44no—
902#126—48no—
903#126—48no—
904#126—48no—
905#125—24no—
906#125—42no—
907#125—48no—
908#124—44no—
909#124—42no—
910#124—44no—
911#124—44no—
912#124—42no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—48no—
917#124—48no—
918#124—48no—
919#123—28no—
920#123—48no—
921#123—48no—
922#123—44no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—216no—
926C22⋊Q8—24no—
927C22⋊Q8—28no—
928C22⋊Q8—48no—
929C22⋊Q8—48no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936#121—216no—
937#121—216no—
938#121—28no—
939#121—24no—
940#121—28no—
941#121—28no—
942#121—216no—
943#121—24no—
944#121—28no—
945#121—28no—
946#121—24no—
947#121—44no—
948#121—44no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—44no—
956#121—42no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—42no—
961#121—42no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—44no—
968C4×Q8—28no—
969C4×Q8—24no—
970C4×Q8—44no—
971C4×Q8—48no—
972C4×Q8—44no—
973C4×Q8—48no—
974C4×Q8—44no—
975C4×D4—28no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—42no—
984C4×D4—48no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—42no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—48no—
1001C4×D4—48no—
1002#117—24no—
1003#117—24no—
1004#117—44no—
1005#117—48no—
1006#117—44no—
1007#117—44no—
1008C2×C4⋊C4—24no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4#4118yescomplemented
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—44no—
1139C2×C42—44no—
1140C2×C42—44no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2414yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2412yes—
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230C24C2511yescharacteristic
1231C24C2512yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2514yes—
1235C24C2511yescharacteristic
1236#41—816no—
1237#41—816no—
1238#41—832no—
1239#41—816no—
1240#41—816no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—28no—
1248C2×Q8—28no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—44no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—28no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—42no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—28no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—41no—
1381C22×C4—42no—
1382C22×C4—41no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4C2×#4114yes—
1387C22×C4C2×#4118yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2514yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2514yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—41no—
1451C4⋊C4—42no—
1452C4⋊C4—41no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4C2×#4114yes—
1467C4⋊C4C2×#4114yes—
1468C4⋊C4C2×#4118yes—
1469C4⋊C4H(5,𝔽2)14yes—
1470C4⋊C4H(5,𝔽2)14yes—
1471C22⋊C4—22no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—22no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—24no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C42—24no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—28no—
1558C42—22no—
1559C42—22no—
1560C42—24no—
1561C42—42no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—42no—
1566C42—42no—
1567C42—42no—
1568C42—41no—
1569C42—44no—
1570C42—44no—
1571C42—44no—
1572C42—42no—
1573C42—44no—
1574C42H(5,𝔽2)14yes—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—24no—
1595C23—22no—
1596C23—24no—
1597C23—21no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—21no—
1603C23—22no—
1604C23—24no—
1605C23—24no—
1606C23—22no—
1607C23—21no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—22no—
1615C23—21no—
1616C23C22×#4112yes—
1617C23C2611yescharacteristic
1618Q8—416no—
1619Q8—48no—
1620Q8—44no—
1621Q8—48no—
1622Q8—84no—
1623D4—48no—
1624D4—44no—
1625D4—48no—
1626D4—44no—
1627D4—48no—
1628D4—44no—
1629D4—48no—
1630D4—44no—
1631D4—88no—
1632D4—84no—
1633D4—88no—
1634D4—84no—
1635D4—88no—
1636D4—88no—
1637D4—84no—
1638D4—84no—
1639D4—84no—
1640D4—88no—
1641D4—88no—
1642D4—84no—
1643D4—84no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—164no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—28no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—48no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—82no—
1735C2×C4—82no—
1736C2×C4—88no—
1737C2×C4—88no—
1738C2×C4—84no—
1739C2×C4—88no—
1740C2×C4—88no—
1741C2×C4C22×#4114yes—
1742C2×C4C22×#4114yes—
1743C2×C4C22×#4112yes—
1744C2×C4C22×#4112yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)14yes—
1747C2×C4C2×H(5,𝔽2)14yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4#58512yes—
1753C2×C4#58512yes—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—42no—
1762C22—41no—
1763C22—42no—
1764C22—44no—
1765C22—42no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—44no—
1774C22—41no—
1775C22—42no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—41no—
1784C22—44no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—44no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—44no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22C23×#4111yescharacteristic
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22C2×#58511yescharacteristic
1802C222−1+611yescharacteristic
1803C4—24no—
1804C4—24no—
1805C4—22no—
1806C4—24no—
1807C4—24no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—42no—
1813C4—41no—
1814C4—44no—
1815C4—42no—
1816C4—44no—
1817C4—42no—
1818C4—41no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—44no—
1824C4—42no—
1825C4—41no—
1826C4—42no—
1827C4—41no—
1828C4—41no—
1829C4—42no—
1830C4#350814yes—
1831C4#354614yes—
1832C2—42no—
1833C2—82no—
1834C2—81no—
1835C2—82no—
1836C2—84no—
1837C2—82no—
1838C2C2×#354611yescharacteristic
1839C2#6279311yescharacteristic
1840C2C2×#350811yescharacteristic
1841C2#6292211yescharacteristic
1842C2#6292511yescharacteristic
1843C2#6298411yescharacteristic
1844C2#6301211yescharacteristic
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. #59646C2semidirect
2. #59097C2semidirect
3. #59051C2semidirect
4. #59049C2semidirect
5. #59049C2semidirect
6. #51918C2semidirect
7. #50846C2semidirect
8. #46050C2semidirect
9. #45518C2semidirect
10. #45302C2semidirect
11. #45258C2semidirect
12. #43191C2semidirect
13. #42759C2semidirect
14. #42433C2semidirect
15. #40951C2semidirect
16. #40203C2semidirect
17. #40076C2semidirect
18. #39725C2semidirect
19. #39471C2semidirect
20. #39220C2semidirect
21. #39136C2semidirect
22. #37780C2semidirect
23. #36473C2semidirect
24. #36454C2semidirect
25. #36406C2semidirect
26. #36150C2semidirect
27. #36149C2semidirect
28. #36133C2semidirect
29. #35191C2semidirect
30. #35166C2semidirect
31. #35038C2semidirect
32. #34925C2semidirect
33. #34889C2semidirect
34. #34410C2semidirect
35. C4×#553C2semidirect
1010. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#596462
#590972
#590512
#590492
#519182
#508462
#460502
#455182
#453022
#452582
#431912
#427592
#424332
#409512
#402032
#400762
#397252
#394712
#392202
#391362
#377802
#364732
#364542
#364062
#361502
#361492
#361332
#351912
#351662
#350382
#349252
#348892
#344102
C4×#5532