Finite Group Databasebeta

← #8458947

Subgroups — #8458947

Order 512.

5377 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59420C211yesmaximal, characteristic, complemented
3#59418C211yesmaximal, characteristic, complemented
4#58814C214yesmaximal, complemented
5#53696C214yesmaximal, complemented
6#53395C214yesmaximal, complemented
7#53088C212yesmaximal, complemented
8#52970C212yesmaximal, complemented
9#50115C214yesmaximal, complemented
10#46061C212yesmaximal, complemented
11#46054C212yesmaximal, complemented
12#44987C212yesmaximal, complemented
13#44957C212yesmaximal, complemented
14#42967C212yesmaximal, complemented
15#42616C212yesmaximal, complemented
16#42575C212yesmaximal, complemented
17#42441C212yesmaximal, complemented
18#40122C212yesmaximal, complemented
19#39745C211yesmaximal, characteristic, complemented
20#39419C212yesmaximal, complemented
21#39362C211yesmaximal, characteristic, complemented
22#39361C211yesmaximal, characteristic, complemented
23#39284C212yesmaximal, complemented
24#39218C212yesmaximal, complemented
25#38956C211yesmaximal, characteristic, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37356C212yesmaximal, complemented
28#37305C212yesmaximal, complemented
29#36595C211yesmaximal, characteristic, complemented
30#36583C211yesmaximal, characteristic, complemented
31#36538C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35198C211yesmaximal, characteristic, complemented
34#34954C211yesmaximal, characteristic, complemented
35#34902C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yescomplemented
38C2×#557C2211yescharacteristic, complemented
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic, complemented
41C2×#547C2211yescharacteristic
42C2×#547C2212yescomplemented
43C2×D42C2211yescharacteristic
44C2×#542C2212yescomplemented
45C2×#542C2212yescomplemented
46C2×#535C2212yes—
47C2×#535C2212yes—
48#2867C2211yescharacteristic
49#2861C2212yescomplemented
50#2860C2212yescomplemented
51#2860C2212yescomplemented
52#2858C2212yes—
53#2858C2212yes—
54#2858C2211yescharacteristic
55#2858C2211yescharacteristic, complemented
56#2858C2212yescomplemented
57#2838C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2826C2214yescomplemented
61#2825C2214yescomplemented
62#2824C2214yescomplemented
63#2814C2214yescomplemented
64#2813C2214yescomplemented
65#2803C2214yescomplemented
66#2779C2214yescomplemented
67#2778C2214yescomplemented
68#2778C2214yescomplemented
69#2778C2214yescomplemented
70#2778C2214yescomplemented
71#2756C2214yescomplemented
72#2756C2214yescomplemented
73#2753C2214yescomplemented
74#2750C2214yescomplemented
75#2733C2214yescomplemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2712C2214yescomplemented
81#2707C2214yescomplemented
82#2705C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2697C2214yes—
88#2697C2214yescomplemented
89#2697C2214yescomplemented
90#2696C2214yescomplemented
91#2695C2214yescomplemented
92#2693C2214yescomplemented
93#2686C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2684C2214yescomplemented
97#2682C2214yescomplemented
98#2678C2214yes—
99#2678C2214yes—
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2672C2214yescomplemented
108#2671C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2669C2214yes—
113#2669C2214yes—
114#2662C2214yescomplemented
115#2662C2214yescomplemented
116#2661C2214yescomplemented
117#2657C2212yescomplemented
118#2650C2214yescomplemented
119#2648C2214yescomplemented
120#2645C2212yescomplemented
121#2640C2212yes—
122#2630C2214yescomplemented
123#2628C2212yescomplemented
124#2625C2212yescomplemented
125#2622C2214yescomplemented
126#2620C2212yes—
127#2619C2212yes—
128#2619C2212yes—
129#2618C2214yescomplemented
130#2596C2212yescomplemented
131#2594C2212yescomplemented
132#2593C2212yescomplemented
133#2593C2212yescomplemented
134#2592C2211yescharacteristic
135#2591C2214yescomplemented
136#2582C2211yescharacteristic, complemented
137#2581C2211yescharacteristic, complemented
138#2576C2214yescomplemented
139#2571C2211yescharacteristic, complemented
140#2570C2211yescharacteristic, complemented
141#2568C2211yescharacteristic, complemented
142#2566C2212yescomplemented
143#2559C2214yescomplemented
144#2558C2214yescomplemented
145#2558C2214yescomplemented
146#2558C2214yescomplemented
147#2557C2214yescomplemented
148#2555C2214yescomplemented
149#2555C2214yescomplemented
150#2551C2211yescharacteristic, complemented
151#2548C2212yes—
152#2548C2211yescharacteristic
153#2548C2211yescharacteristic
154#2548C2211yescharacteristic
155#2548C2212yescomplemented
156#2548C2211yescharacteristic, complemented
157#2548C2212yescomplemented
158#2548C2212yescomplemented
159#2547C2211yescharacteristic
160#2547C2212yescomplemented
161#2545C2211yescharacteristic
162#2545C2212yescomplemented
163#2545C2212yescomplemented
164#2545C2212yescomplemented
165#2544C2212yescomplemented
166#2544C2212yescomplemented
167#2544C2212yescomplemented
168#2541C2211yescharacteristic
169#2541C2211yescharacteristic
170#2541C2212yes—
171#2541C2212yescomplemented
172#2539C2214yescomplemented
173#2538C2211yescharacteristic
174#2538C2211yescharacteristic
175#2538C2211yescharacteristic, complemented
176#2537C2212yescomplemented
177#2534C2214yes—
178#2525C2212yescomplemented
179#2514C2211yescharacteristic, complemented
180#2513C2211yescharacteristic
181#2513C2212yescomplemented
182#2513C2211yescharacteristic, complemented
183#2512C2211yescharacteristic
184#2504C2212yescomplemented
185#2494C2212yescomplemented
186#2492C2212yescomplemented
187#2491C2212yescomplemented
188#2491C2212yescomplemented
189#2490C2212yes—
190#2490C2212yescomplemented
191#2490C2214yescomplemented
192#2490C2214yescomplemented
193#2490C2212yescomplemented
194#2481C2214yescomplemented
195#2472C2214yescomplemented
196#2469C2212yescomplemented
197#2464C2214yescomplemented
198#2461C2214yescomplemented
199#2461C2214yescomplemented
200#2452C2212yescomplemented
201#2452C2212yescomplemented
202#2451C2212yescomplemented
203#2448C2211yescharacteristic
204#2448C2211yescharacteristic
205#2448C2212yes—
206#2448C2211yescharacteristic, complemented
207#2448C2212yescomplemented
208#2446C2211yescharacteristic, complemented
209#2445C2212yes—
210#2445C2212yes—
211#2445C2212yescomplemented
212#2445C2212yescomplemented
213#2445C2212yescomplemented
214#2445C2212yescomplemented
215#2445C2212yescomplemented
216#2445C2212yescomplemented
217#2442C2212yescomplemented
218#2435C2212yes—
219#2435C2212yes—
220#2435C2212yes—
221#2433C2212yes—
222#2433C2212yes—
223#2433C2212yes—
224#2432C2212yescomplemented
225#2431C2212yes—
226#2431C2212yes—
227#2431C2212yes—
228#2431C2212yescomplemented
229#2431C2212yescomplemented
230#2431C2212yescomplemented
231#2431C2212yescomplemented
232#2429C2212yescomplemented
233#2428C2212yes—
234#2428C2212yes—
235#2428C2212yescomplemented
236#2428C2212yescomplemented
237#2427C2212yes—
238#2427C2212yes—
239#2427C2212yescomplemented
240#2427C2212yescomplemented
241#2426C2212yes—
242#2426C2212yescomplemented
243#2426C2212yescomplemented
244#2424C2214yescomplemented
245#2421C2212yescomplemented
246#2420C2212yes—
247#2420C2212yes—
248#2417C2214yescomplemented
249#2416C2212yes—
250#2416C2212yes—
251#2416C2214yescomplemented
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2401C2212yescomplemented
257#2396C2212yescomplemented
258#2395C2212yescomplemented
259#2395C2212yescomplemented
260#2375C2214yescomplemented
261#2367C2212yescomplemented
262#2367C2212yescomplemented
263#2366C2212yescomplemented
264#2366C2212yescomplemented
265#2360C2212yescomplemented
266D4×C4⋊C4C2212yescomplemented
267#2341C2212yescomplemented
268#2341C2212yescomplemented
269#2341C2212yescomplemented
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2333C2214yescomplemented
273#2328C2212yescomplemented
274#2324C2212yescomplemented
275#2324C2212yescomplemented
276#2311C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic, complemented
282C4×#126C2212yescomplemented
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic, complemented
287C4×#124C2212yescomplemented
288C4×#124C2212yescomplemented
289C4×#124C2212yescomplemented
290#2298C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic, complemented
295#2293C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×Q8C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—48no—
305#559—44no—
306#557—44no—
307#550—44no—
308#550—44no—
309#547—44no—
310#547—48no—
311D42—44no—
312#542—48no—
313#542—48no—
314#535—48no—
315#535—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#126C2312yes—
335C2×#126C2314yes—
336C2×#126C2314yes—
337C2×#125C2312yes—
338C2×#125C2314yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2311yescharacteristic
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#124C2314yes—
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2311yescharacteristic
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2314yes—
356C2×#124C2314yes—
357C2×#124C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433#401C2314yes—
434#401C2312yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#400C2314yes—
439#400C2312yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2314yes—
444#400C2312yes—
445#400C2312yes—
446#399C2312yes—
447#399C2314yes—
448#399C2312yes—
449#399C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#395C2312yes—
492#395C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2312yes—
562#391C2311yescharacteristic
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2311yescharacteristic
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2314yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2312yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#387C2314yes—
705#387C2312yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#383C2312yes—
750#382C2312yes—
751#382C2311yescharacteristic
752#382C2311yescharacteristic
753#382C2312yes—
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#381C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772#379C2314yes—
773#379C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2312yes—
822C25C2414yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2414yes—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C4⋊Q8—24no—
880C4⋊Q8—24no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884#127—24no—
885#127—24no—
886#127—24no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#127—44no—
892#127—44no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—82no—
897#126—48no—
898#126—48no—
899#126—44no—
900#125—44no—
901#125—48no—
902#124—24no—
903#124—28no—
904#124—28no—
905#124—48no—
906#124—48no—
907#124—42no—
908#124—44no—
909#124—44no—
910#124—42no—
911#124—42no—
912#124—44no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—48no—
919#124—84no—
920#124—84no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—48no—
927#123—48no—
928#123—48no—
929C22⋊Q8—28no—
930C22⋊Q8—48no—
931C22⋊Q8—48no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—84no—
953#121—84no—
954#120—48no—
955#120—48no—
956#120—48no—
957#120—48no—
958#120—48no—
959#120—48no—
960#120—84no—
961C4×Q8—24no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—24no—
965C4×Q8—24no—
966C4×Q8—24no—
967C4×Q8—42no—
968C4×Q8—42no—
969C4×Q8—42no—
970C4×Q8—42no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—48no—
988C4×D4—82no—
989C4×D4—82no—
990#117—28no—
991#117—44no—
992#117—44no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—48no—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C22⋊C4—84no—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2514yes—
1227C24C2512yes—
1228C24C2514yes—
1229#41—816no—
1230#41—816no—
1231#41—816no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—41no—
1246C2×Q8—44no—
1247C2×Q8—44no—
1248C2×Q8—44no—
1249C2×Q8H(5,𝔽2)14yes—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
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—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—816no—
1329C2×D4—816no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—28no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2514yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—42no—
1429C4⋊C4—41no—
1430C4⋊C4—42no—
1431C4⋊C4—41no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C42—24no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—24no—
1525C42—24no—
1526C42—24no—
1527C42—22no—
1528C42—24no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—44no—
1538C42—41no—
1539C42—41no—
1540C42—41no—
1541C42—41no—
1542C42—42no—
1543C42—42no—
1544C42—44no—
1545C42—42no—
1546C42—42no—
1547C42—42no—
1548C42—42no—
1549C42—41no—
1550C42H(5,𝔽2)14yes—
1551C42H(5,𝔽2)14yes—
1552C23—22no—
1553C23—22no—
1554C23—24no—
1555C23—24no—
1556C23—22no—
1557C23—24no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—24no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—24no—
1579C23—24no—
1580C23—22no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—24no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—164no—
1591C23—164no—
1592C23—164no—
1593C23—164no—
1594C23C2611yescharacteristic
1595Q8—28no—
1596Q8—44no—
1597Q8—44no—
1598Q8—48no—
1599Q8—44no—
1600Q8—164no—
1601D4—48no—
1602D4—48no—
1603D4—44no—
1604D4—44no—
1605D4—48no—
1606D4—44no—
1607D4—48no—
1608D4—84no—
1609D4—88no—
1610D4—84no—
1611D4—84no—
1612D4—84no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616D4—88no—
1617D4—88no—
1618D4—164no—
1619D4—164no—
1620D4—164no—
1621D4—164no—
1622D4—164no—
1623D4—164no—
1624D4—164no—
1625D4—164no—
1626D4—164no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—88no—
1710C2×C4—88no—
1711C2×C4—88no—
1712C2×C4—88no—
1713C2×C4—164no—
1714C2×C4—164no—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)14yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4#58512yes—
1724C2×C4#58512yes—
1725C2×C4#58512yes—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—44no—
1736C22—44no—
1737C22—42no—
1738C22—44no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—44no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—44no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—44no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—44no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—1616no—
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22H(7,𝔽2)11yescharacteristic
1769C4—24no—
1770C4—22no—
1771C4—22no—
1772C4—22no—
1773C4—22no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—44no—
1779C4—42no—
1780C4—41no—
1781C4—41no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—41no—
1786C4—44no—
1787C4—41no—
1788C4—41no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4#354614yes—
1798C4#355814yes—
1799C2—82no—
1800C2—84no—
1801C2—84no—
1802C2—82no—
1803C2—82no—
1804C2C2×#355811yescharacteristic
1805C2C2×#354611yescharacteristic
1806C2#6283011yescharacteristic
1807C2#6291611yescharacteristic
1808C2#6296111yescharacteristic
1809C2#6296911yescharacteristic
1810C2#6303511yescharacteristic
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. #59815C2semidirect
2. #59420C2semidirect
3. #59418C2semidirect
4. #58814C2semidirect
5. #53696C2semidirect
6. #53395C2semidirect
7. #53088C2semidirect
8. #52970C2semidirect
9. #50115C2semidirect
10. #46061C2semidirect
11. #46054C2semidirect
12. #44987C2semidirect
13. #44957C2semidirect
14. #42967C2semidirect
15. #42616C2semidirect
16. #42575C2semidirect
17. #42441C2semidirect
18. #40122C2semidirect
19. #39745C2semidirect
20. #39419C2semidirect
21. #39362C2semidirect
22. #39361C2semidirect
23. #39284C2semidirect
24. #39218C2semidirect
25. #38956C2semidirect
26. #37631C2semidirect
27. #37356C2semidirect
28. #37305C2semidirect
29. #36595C2semidirect
30. #36583C2semidirect
31. #36538C2semidirect
32. #35198C2semidirect
33. #35198C2semidirect
34. #34954C2semidirect
35. #34902C2semidirect
37. C2×#559C22semidirect
38. C2×#557C22semidirect
40. C2×#550C22semidirect
42. C2×#547C22semidirect
44. C2×#542C22semidirect
45. C2×#542C22semidirect
49. #2861C22semidirect
50. #2860C22semidirect
51. #2860C22semidirect
55. #2858C22semidirect
56. #2858C22semidirect
57. #2838C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2826C22semidirect
61. #2825C22semidirect
62. #2824C22semidirect
63. #2814C22semidirect
64. #2813C22semidirect
65. #2803C22semidirect
66. #2779C22semidirect
67. #2778C22semidirect
68. #2778C22semidirect
69. #2778C22semidirect
70. #2778C22semidirect
71. #2756C22semidirect
72. #2756C22semidirect
73. #2753C22semidirect
74. #2750C22semidirect
75. #2733C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2712C22semidirect
81. #2707C22semidirect
82. #2705C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
88. #2697C22semidirect
89. #2697C22semidirect
90. #2696C22semidirect
91. #2695C22semidirect
92. #2693C22semidirect
93. #2686C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2684C22semidirect
97. #2682C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2672C22semidirect
108. #2671C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
114. #2662C22semidirect
115. #2662C22semidirect
116. #2661C22semidirect
117. #2657C22semidirect
118. #2650C22semidirect
119. #2648C22semidirect
120. #2645C22semidirect
122. #2630C22semidirect
123. #2628C22semidirect
124. #2625C22semidirect
125. #2622C22semidirect
129. #2618C22semidirect
130. #2596C22semidirect
131. #2594C22semidirect
132. #2593C22semidirect
133. #2593C22semidirect
135. #2591C22semidirect
136. #2582C22semidirect
137. #2581C22semidirect
138. #2576C22semidirect
139. #2571C22semidirect
140. #2570C22semidirect
141. #2568C22semidirect
142. #2566C22semidirect
143. #2559C22semidirect
144. #2558C22semidirect
145. #2558C22semidirect
146. #2558C22semidirect
147. #2557C22semidirect
148. #2555C22semidirect
149. #2555C22semidirect
150. #2551C22semidirect
155. #2548C22semidirect
156. #2548C22semidirect
157. #2548C22semidirect
158. #2548C22semidirect
160. #2547C22semidirect
162. #2545C22semidirect
163. #2545C22semidirect
164. #2545C22semidirect
165. #2544C22semidirect
166. #2544C22semidirect
167. #2544C22semidirect
171. #2541C22semidirect
172. #2539C22semidirect
175. #2538C22semidirect
176. #2537C22semidirect
178. #2525C22semidirect
179. #2514C22semidirect
181. #2513C22semidirect
182. #2513C22semidirect
184. #2504C22semidirect
185. #2494C22semidirect
186. #2492C22semidirect
187. #2491C22semidirect
188. #2491C22semidirect
190. #2490C22semidirect
191. #2490C22semidirect
192. #2490C22semidirect
193. #2490C22semidirect
194. #2481C22semidirect
195. #2472C22semidirect
196. #2469C22semidirect
197. #2464C22semidirect
198. #2461C22semidirect
199. #2461C22semidirect
200. #2452C22semidirect
201. #2452C22semidirect
202. #2451C22semidirect
206. #2448C22semidirect
207. #2448C22semidirect
208. #2446C22semidirect
211. #2445C22semidirect
212. #2445C22semidirect
213. #2445C22semidirect
214. #2445C22semidirect
215. #2445C22semidirect
216. #2445C22semidirect
217. #2442C22semidirect
224. #2432C22semidirect
228. #2431C22semidirect
229. #2431C22semidirect
230. #2431C22semidirect
231. #2431C22semidirect
232. #2429C22semidirect
235. #2428C22semidirect
236. #2428C22semidirect
239. #2427C22semidirect
240. #2427C22semidirect
242. #2426C22semidirect
243. #2426C22semidirect
244. #2424C22semidirect
245. #2421C22semidirect
248. #2417C22semidirect
251. #2416C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2401C22semidirect
257. #2396C22semidirect
258. #2395C22semidirect
259. #2395C22semidirect
260. #2375C22semidirect
261. #2367C22semidirect
262. #2367C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2360C22semidirect
266. D4×C4⋊C4C22semidirect
267. #2341C22semidirect
268. #2341C22semidirect
269. #2341C22semidirect
272. #2333C22semidirect
273. #2328C22semidirect
274. #2324C22semidirect
275. #2324C22semidirect
276. #2311C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
281. C4×#127C22semidirect
282. C4×#126C22semidirect
286. C4×#124C22semidirect
287. C4×#124C22semidirect
288. C4×#124C22semidirect
289. C4×#124C22semidirect
290. #2298C22semidirect
291. #2295C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. C42×Q8C22semidirect
297. C42×Q8C22semidirect
298. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#594202
#594182
#588142
#536962
#533952
#530882
#529702
#501152
#460612
#460542
#449872
#449572
#429672
#426162
#425752
#424412
#401222
#397452
#394192
#393622
#393612
#392842
#392182
#389562
#376312
#373562
#373052
#365952
#365832
#365382
#351982
#349542
#349022