Finite Group Databasebeta

← #8425189

Subgroups — #8425189

Order 512.

5212 conjugacy classes of subgroups.

The subgroup lattice has 1785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59466C212yesmaximal, complemented
3#59080C211yesmaximal, characteristic, complemented
4#59078C211yesmaximal, characteristic, complemented
5#59002C212yesmaximal, complemented
6#55576C214yesmaximal, complemented
7#54839C214yesmaximal, complemented
8#53152C212yesmaximal, complemented
9#53022C212yesmaximal, complemented
10#53016C212yesmaximal, complemented
11#52999C212yesmaximal, complemented
12#52621C214yesmaximal, complemented
13#42800C212yesmaximal, complemented
14#42616C212yesmaximal, complemented
15#42550C212yesmaximal, complemented
16#42544C212yesmaximal, complemented
17#40990C214yesmaximal, complemented
18#40165C212yesmaximal, complemented
19#39884C212yesmaximal, complemented
20#39616C211yesmaximal, characteristic, complemented
21#39606C211yesmaximal, characteristic, complemented
22#39385C211yesmaximal, characteristic, complemented
23#39280C212yesmaximal, complemented
24#39139C211yesmaximal, characteristic, complemented
25#37671C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37616C211yesmaximal, characteristic, complemented
28#37591C212yesmaximal, complemented
29#37449C212yesmaximal, complemented
30#36450C211yesmaximal, characteristic, complemented
31#36127C211yesmaximal, characteristic, complemented
32D4×C22⋊Q8C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2212yescomplemented
39C2×#547C2212yes—
40C2×#541C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic, complemented
43C2×#529C2211yescharacteristic
44C2×#525C2212yes—
45C2×#525C2212yes—
46C22×C22⋊Q8C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2868C2211yescharacteristic, complemented
49#2863C2212yescomplemented
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic, complemented
52#2848C2212yes—
53#2841C2214yescomplemented
54#2838C2214yescomplemented
55#2837C2214yescomplemented
56#2836C2214yescomplemented
57#2834C2214yescomplemented
58#2830C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2826C2214yes—
62#2825C2214yes—
63#2820C2214yescomplemented
64#2814C2214yes—
65#2814C2214yes—
66#2813C2214yescomplemented
67#2797C2214yescomplemented
68#2786C2214yescomplemented
69#2778C2214yes—
70#2778C2214yes—
71#2768C2214yescomplemented
72#2768C2214yescomplemented
73#2757C2214yescomplemented
74#2757C2214yescomplemented
75#2756C2214yescomplemented
76#2753C2214yes—
77#2748C2214yescomplemented
78#2748C2214yescomplemented
79#2748C2214yescomplemented
80#2737C2214yescomplemented
81#2724C2214yes—
82#2723C2214yescomplemented
83#2721C2214yescomplemented
84#2721C2214yescomplemented
85#2721C2214yescomplemented
86#2720C2214yescomplemented
87#2720C2214yescomplemented
88#2720C2214yescomplemented
89#2714C2214yes—
90#2711C2214yes—
91#2711C2214yescomplemented
92#2707C2214yes—
93#2707C2214yescomplemented
94#2701C2214yes—
95#2697C2214yes—
96#2694C2214yes—
97#2694C2214yescomplemented
98#2685C2214yes—
99#2685C2214yes—
100#2680C2214yes—
101#2678C2214yes—
102#2676C2214yescomplemented
103#2672C2214yes—
104#2662C2214yescomplemented
105#2660C2212yescomplemented
106#2651C2214yescomplemented
107#2644C2212yescomplemented
108#2641C2212yes—
109#2638C2214yescomplemented
110#2638C2214yescomplemented
111#2636C2214yes—
112#2636C2214yescomplemented
113#2630C2214yes—
114#2630C2214yescomplemented
115#2630C2214yescomplemented
116#2629C2212yescomplemented
117#2624C2212yescomplemented
118#2622C2214yes—
119#2622C2214yes—
120#2621C2212yescomplemented
121#2621C2212yescomplemented
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2619C2212yes—
127#2602C2214yescomplemented
128#2600C2214yescomplemented
129#2579C2214yescomplemented
130#2579C2214yescomplemented
131#2579C2214yescomplemented
132#2577C2214yes—
133#2568C2211yescharacteristic, complemented
134#2567C2212yescomplemented
135#2566C2212yes—
136#2566C2212yescomplemented
137#2566C2214yescomplemented
138#2552C2212yescomplemented
139#2552C2212yescomplemented
140#2552C2212yescomplemented
141#2552C2211yescharacteristic, complemented
142#2548C2211yescharacteristic, complemented
143#2548C2211yescharacteristic, complemented
144#2547C2212yescomplemented
145#2545C2212yescomplemented
146#2544C2212yes—
147#2544C2212yes—
148#2542C2211yescharacteristic
149#2542C2211yescharacteristic
150#2542C2211yescharacteristic
151#2542C2212yescomplemented
152#2541C2211yescharacteristic
153#2541C2211yescharacteristic
154#2540C2212yes—
155#2540C2212yes—
156#2539C2214yes—
157#2538C2211yescharacteristic
158#2538C2212yescomplemented
159#2537C2212yes—
160#2537C2212yes—
161#2536C2212yescomplemented
162#2530C2212yescomplemented
163#2528C2212yescomplemented
164#2528C2214yescomplemented
165#2517C2212yes—
166#2514C2212yescomplemented
167#2513C2212yescomplemented
168#2512C2212yes—
169#2512C2212yes—
170#2511C2211yescharacteristic, complemented
171#2507C2212yescomplemented
172#2506C2211yescharacteristic, complemented
173#2504C2212yescomplemented
174#2502C2212yescomplemented
175#2501C2212yes—
176#2499C2211yescharacteristic
177#2499C2212yes—
178#2494C2212yes—
179#2494C2211yescharacteristic, complemented
180#2491C2212yescomplemented
181#2490C2212yes—
182#2490C2212yes—
183#2490C2212yescomplemented
184#2489C2212yes—
185#2489C2211yescharacteristic, complemented
186#2485C2211yescharacteristic
187#2480C2212yes—
188#2468C2212yes—
189#2468C2214yescomplemented
190#2466C2214yescomplemented
191#2463C2214yescomplemented
192#2461C2214yescomplemented
193#2460C2212yes—
194#2460C2214yescomplemented
195#2460C2214yescomplemented
196#2457C2212yes—
197#2454C2212yes—
198#2454C2211yescharacteristic
199#2454C2212yescomplemented
200#2454C2214yescomplemented
201#2454C2214yescomplemented
202#2454C2212yescomplemented
203#2452C2212yes—
204#2452C2212yescomplemented
205#2449C2214yes—
206#2449C2214yescomplemented
207#2448C2212yes—
208#2448C2212yescomplemented
209#2447C2211yescharacteristic
210#2447C2212yescomplemented
211#2445C2212yes—
212#2443C2214yescomplemented
213#2442C2211yescharacteristic
214#2441C2211yescharacteristic
215#2440C2212yes—
216#2437C2214yes—
217#2436C2212yescomplemented
218#2435C2211yescharacteristic
219#2434C2212yescomplemented
220#2434C2212yescomplemented
221#2433C2212yes—
222#2432C2212yes—
223#2432C2212yes—
224#2432C2212yescomplemented
225#2429C2212yescomplemented
226#2429C2212yescomplemented
227#2429C2212yescomplemented
228#2429C2212yescomplemented
229#2428C2212yes—
230#2427C2211yescharacteristic
231#2427C2212yescomplemented
232#2426C2212yes—
233#2426C2212yescomplemented
234#2424C2214yes—
235#2423C2212yescomplemented
236#2423C2212yescomplemented
237#2422C2212yes—
238#2422C2212yes—
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2422C2212yescomplemented
242#2420C2211yescharacteristic
243#2420C2212yescomplemented
244#2418C2214yes—
245#2418C2212yes—
246#2417C2211yescharacteristic
247#2417C2212yes—
248#2417C2212yescomplemented
249#2415C2211yescharacteristic
250#2409C2212yes—
251#2408C2211yescharacteristic
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2401C2212yes—
256#2397C2214yes—
257#2395C2212yes—
258#2395C2212yes—
259#2392C2212yes—
260#2367C2212yescomplemented
261#2366C2212yes—
262#2366C2212yes—
263#2365C2211yescharacteristic, complemented
264#2365C2211yescharacteristic, complemented
265#2362C2212yes—
266#2361C2212yescomplemented
267#2355C2212yescomplemented
268#2355C2211yescharacteristic, complemented
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2212yescomplemented
272D4×C4⋊C4C2214yescomplemented
273D4×C4⋊C4C2212yescomplemented
274#2341C2212yes—
275D4×C22⋊C4C2212yes—
276#2326C2212yes—
277#2324C2212yes—
278#2323C2212yescomplemented
279#2322C2214yescomplemented
280C4×#127C2212yes—
281C4×#127C2212yes—
282C4×#127C2211yescharacteristic, complemented
283C4×#125C2212yescomplemented
284C4×#125C2212yescomplemented
285C4×#125C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291C4×#120C2212yes—
292#2298C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2293C2211yescharacteristic
295#2285C2211yescharacteristic, complemented
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#557—44no—
305D4×Q8—44no—
306#548—48no—
307#547—48no—
308#541—48no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320#529—44no—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#124C2311yescharacteristic
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339#525—48no—
340#525—48no—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×C22⋊Q8—48no—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#120C2314yes—
379C2×#120C2312yes—
380C2×#120C2314yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×D4—44no—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C22×C4⋊C4C2314yes—
420C22×C4⋊C4C2314yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427#401C2314yes—
428#401C2312yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2312yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2312yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2312yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2312yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#392C2312yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#391C2311yescharacteristic
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2314yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2314yes—
603#390C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2314yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2312yes—
735#384C2314yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#383C2314yes—
743#382C2312yes—
744#382C2312yes—
745#382C2311yescharacteristic
746#382C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2312yes—
752#381C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#379C2314yes—
777#379C2312yes—
778#379C2312yes—
779#379C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819#376C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×D4—24no—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C23×C4—28no—
856C23×C4—44no—
857C23×C4—44no—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880#127—28no—
881#127—24no—
882#127—44no—
883#126—44no—
884#126—48no—
885#126—48no—
886#125—24no—
887#125—44no—
888#125—42no—
889#125—48no—
890#125—44no—
891#125—44no—
892#125—48no—
893#125—48no—
894#124—24no—
895#124—48no—
896#124—44no—
897#124—42no—
898#124—44no—
899#124—44no—
900#124—44no—
901#123—48no—
902#123—48no—
903#123—48no—
904#123—44no—
905#123—48no—
906#123—48no—
907C22⋊Q8—24no—
908C22⋊Q8—28no—
909C22⋊Q8—28no—
910C22⋊Q8—24no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—42no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—42no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925#121—24no—
926#121—28no—
927#121—48no—
928#121—48no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—42no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—44no—
937#120—44no—
938#120—48no—
939#120—48no—
940C4×Q8—28no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—42no—
956C4×D4—48no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—48no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—48no—
972#117—24no—
973#117—24no—
974#117—44no—
975#117—44no—
976#117—44no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—48no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—48no—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211C24—24no—
1212C24—24no—
1213C24—42no—
1214C24—42no—
1215C24—42no—
1216C24—42no—
1217C24—42no—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C24C2514yes—
1221C24C2511yescharacteristic
1222C24C2512yes—
1223#41—816no—
1224#41—816no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—816no—
1241C2×D4—22no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—41no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—416no—
1286C2×D42−1+414yes—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—816no—
1335C22×C4H(5,𝔽2)14yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—22no—
1383C4⋊C4—28no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—41no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4H(5,𝔽2)14yes—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—24no—
1439C22⋊C4—22no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—22no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—41no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—24no—
1511C42—22no—
1512C42—24no—
1513C42—24no—
1514C42—22no—
1515C42—24no—
1516C42—28no—
1517C42—22no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—22no—
1522C42—22no—
1523C42—41no—
1524C42—42no—
1525C42—44no—
1526C42—44no—
1527C42—44no—
1528C42—42no—
1529C42H(5,𝔽2)14yes—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—21no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—21no—
1546C23—24no—
1547C23—22no—
1548C23—24no—
1549C23—24no—
1550C23—21no—
1551C23—21no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—21no—
1556C23—24no—
1557C23—24no—
1558C23—21no—
1559C23—22no—
1560C23—21no—
1561C23—24no—
1562C23—22no—
1563C23—48no—
1564C23—48no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23C2×H(5,𝔽2)12yes—
1571C23C2×2−1+414yes—
1572C23C2611yescharacteristic
1573Q8—44no—
1574Q8—44no—
1575Q8—48no—
1576Q8—48no—
1577Q8—88no—
1578D4—28no—
1579D4—44no—
1580D4—416no—
1581D4—48no—
1582D4—48no—
1583D4—48no—
1584D4—44no—
1585D4—48no—
1586D4—84no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—88no—
1591D4—84no—
1592D4—88no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—28no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—44no—
1679C2×C4—88no—
1680C2×C4—82no—
1681C2×C4—82no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—88no—
1685C2×C4—84no—
1686C2×C4—88no—
1687C2×C4—88no—
1688C2×C4—88no—
1689C2×C4C2×H(5,𝔽2)14yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4C2×H(5,𝔽2)12yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×2−1+412yes—
1697C2×C4#58512yes—
1698C2×C4#58512yes—
1699C22—24no—
1700C22—22no—
1701C22—22no—
1702C22—24no—
1703C22—24no—
1704C22—22no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—41no—
1712C22—42no—
1713C22—41no—
1714C22—42no—
1715C22—44no—
1716C22—42no—
1717C22—41no—
1718C22—44no—
1719C22—44no—
1720C22—41no—
1721C22—42no—
1722C22—44no—
1723C22—41no—
1724C22—42no—
1725C22—42no—
1726C22—44no—
1727C22—41no—
1728C22—41no—
1729C22—44no—
1730C22—42no—
1731C22—44no—
1732C22—41no—
1733C22—42no—
1734C22—816no—
1735C22C22×H(5,𝔽2)11yescharacteristic
1736C22C22×H(5,𝔽2)11yescharacteristic
1737C22C22×H(5,𝔽2)11yescharacteristic
1738C22C22×2−1+411yescharacteristic
1739C22C2×#58511yescharacteristic
1740C22C2×#58511yescharacteristic
1741C222−1+611yescharacteristic
1742C4—22no—
1743C4—22no—
1744C4—24no—
1745C4—22no—
1746C4—41no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4—41no—
1751C4—42no—
1752C4—44no—
1753C4—42no—
1754C4—44no—
1755C4—44no—
1756C4—42no—
1757C4—42no—
1758C4—41no—
1759C4—42no—
1760C4—42no—
1761C4—41no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—41no—
1766C4—41no—
1767C4—42no—
1768C4—41no—
1769C4—42no—
1770C4#354114yes—
1771C4#354314yes—
1772C2—44no—
1773C2—42no—
1774C2—81no—
1775C2—84no—
1776C2—82no—
1777C2C2×#354111yescharacteristic
1778C2C2×#354311yescharacteristic
1779C2#6274811yescharacteristic
1780C2#6292211yescharacteristic
1781C2#6292511yescharacteristic
1782C2#6294211yescharacteristic
1783C2#6301311yescharacteristic
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. #59647C2semidirect
2. #59466C2semidirect
3. #59080C2semidirect
4. #59078C2semidirect
5. #59002C2semidirect
6. #55576C2semidirect
7. #54839C2semidirect
8. #53152C2semidirect
9. #53022C2semidirect
10. #53016C2semidirect
11. #52999C2semidirect
12. #52621C2semidirect
13. #42800C2semidirect
14. #42616C2semidirect
15. #42550C2semidirect
16. #42544C2semidirect
17. #40990C2semidirect
18. #40165C2semidirect
19. #39884C2semidirect
20. #39616C2semidirect
21. #39606C2semidirect
22. #39385C2semidirect
23. #39280C2semidirect
24. #39139C2semidirect
25. #37671C2semidirect
26. #37625C2semidirect
27. #37616C2semidirect
28. #37591C2semidirect
29. #37449C2semidirect
30. #36450C2semidirect
31. #36127C2semidirect
32. D4×C22⋊Q8C2semidirect
33. #34936C2semidirect
34. #34793C2semidirect
35. #34700C2semidirect
36. C2×#557C22semidirect
38. C2×#548C22semidirect
40. C2×#541C22semidirect
42. C2×#532C22semidirect
48. #2868C22semidirect
49. #2863C22semidirect
51. #2857C22semidirect
53. #2841C22semidirect
54. #2838C22semidirect
55. #2837C22semidirect
56. #2836C22semidirect
57. #2834C22semidirect
58. #2830C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
63. #2820C22semidirect
66. #2813C22semidirect
67. #2797C22semidirect
68. #2786C22semidirect
71. #2768C22semidirect
72. #2768C22semidirect
73. #2757C22semidirect
74. #2757C22semidirect
75. #2756C22semidirect
77. #2748C22semidirect
78. #2748C22semidirect
79. #2748C22semidirect
80. #2737C22semidirect
82. #2723C22semidirect
83. #2721C22semidirect
84. #2721C22semidirect
85. #2721C22semidirect
86. #2720C22semidirect
87. #2720C22semidirect
88. #2720C22semidirect
91. #2711C22semidirect
93. #2707C22semidirect
97. #2694C22semidirect
102. #2676C22semidirect
104. #2662C22semidirect
105. #2660C22semidirect
106. #2651C22semidirect
107. #2644C22semidirect
109. #2638C22semidirect
110. #2638C22semidirect
112. #2636C22semidirect
114. #2630C22semidirect
115. #2630C22semidirect
116. #2629C22semidirect
117. #2624C22semidirect
120. #2621C22semidirect
121. #2621C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
127. #2602C22semidirect
128. #2600C22semidirect
129. #2579C22semidirect
130. #2579C22semidirect
131. #2579C22semidirect
133. #2568C22semidirect
134. #2567C22semidirect
136. #2566C22semidirect
137. #2566C22semidirect
138. #2552C22semidirect
139. #2552C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2547C22semidirect
145. #2545C22semidirect
151. #2542C22semidirect
158. #2538C22semidirect
161. #2536C22semidirect
162. #2530C22semidirect
163. #2528C22semidirect
164. #2528C22semidirect
166. #2514C22semidirect
167. #2513C22semidirect
170. #2511C22semidirect
171. #2507C22semidirect
172. #2506C22semidirect
173. #2504C22semidirect
174. #2502C22semidirect
179. #2494C22semidirect
180. #2491C22semidirect
183. #2490C22semidirect
185. #2489C22semidirect
189. #2468C22semidirect
190. #2466C22semidirect
191. #2463C22semidirect
192. #2461C22semidirect
194. #2460C22semidirect
195. #2460C22semidirect
199. #2454C22semidirect
200. #2454C22semidirect
201. #2454C22semidirect
202. #2454C22semidirect
204. #2452C22semidirect
206. #2449C22semidirect
208. #2448C22semidirect
210. #2447C22semidirect
212. #2443C22semidirect
217. #2436C22semidirect
219. #2434C22semidirect
220. #2434C22semidirect
224. #2432C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
227. #2429C22semidirect
228. #2429C22semidirect
231. #2427C22semidirect
233. #2426C22semidirect
235. #2423C22semidirect
236. #2423C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2422C22semidirect
243. #2420C22semidirect
248. #2417C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
260. #2367C22semidirect
263. #2365C22semidirect
264. #2365C22semidirect
266. #2361C22semidirect
267. #2355C22semidirect
268. #2355C22semidirect
271. D4×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
278. #2323C22semidirect
279. #2322C22semidirect
282. C4×#127C22semidirect
283. C4×#125C22semidirect
284. C4×#125C22semidirect
285. C4×#125C22semidirect
289. C4×C22⋊Q8C22semidirect
292. #2298C22semidirect
293. #2295C22semidirect
295. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#594662
#590802
#590782
#590022
#555762
#548392
#531522
#530222
#530162
#529992
#526212
#428002
#426162
#425502
#425442
#409902
#401652
#398842
#396162
#396062
#393852
#392802
#391392
#376712
#376252
#376162
#375912
#374492
#364502
#361272
D4×C22⋊Q82
#349362
#347932
#347002