Finite Group Databasebeta

← #7654429

Subgroups — #7654429

Order 512.

5276 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42746C212yesmaximal, complemented
2#42740C212yesmaximal, complemented
3#41834C214yesmaximal, complemented
4#41235C214yesmaximal, complemented
5#40169C212yesmaximal, complemented
6#39497C211yesmaximal, characteristic, complemented
7#39458C214yesmaximal, complemented
8#39408C212yesmaximal, complemented
9#39079C212yesmaximal, complemented
10#39046C212yesmaximal, complemented
11#38953C211yesmaximal, characteristic, complemented
12#38922C211yesmaximal, characteristic, complemented
13#38910C211yesmaximal, characteristic, complemented
14#38842C214yesmaximal, complemented
15#38250C212yesmaximal, complemented
16#37946C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37520C212yesmaximal, complemented
19#36596C211yesmaximal, characteristic, complemented
20#36594C211yesmaximal, characteristic, complemented
21#36470C212yesmaximal, complemented
22#36414C212yesmaximal, complemented
23#36300C211yesmaximal, characteristic, complemented
24#36176C211yesmaximal, characteristic, complemented
25#36075C212yesmaximal, complemented
26#35823C212yesmaximal, complemented
27#35277C211yesmaximal, characteristic, complemented
28#35266C212yesmaximal, complemented
29#35197C211yesmaximal, characteristic, complemented
30#35007C212yesmaximal, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34800C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#555C2211yescharacteristic
38C2×#553C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#542C2212yescomplemented
41C2×#538C2214yescomplemented
42C2×#529C2211yescharacteristic
43C2×#518C2212yes—
44#2868C2211yescharacteristic, complemented
45#2860C2214yescomplemented
46#2860C2214yescomplemented
47#2860C2212yescomplemented
48#2858C2211yescharacteristic
49#2858C2212yes—
50#2857C2211yescharacteristic, complemented
51#2856C2211yescharacteristic
52#2856C2212yescomplemented
53#2854C2212yes—
54#2854C2212yescomplemented
55#2850C2212yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2831C2214yescomplemented
59#2797C2214yescomplemented
60#2790C2214yescomplemented
61#2779C2214yescomplemented
62#2768C2214yescomplemented
63#2761C2214yescomplemented
64#2757C2214yescomplemented
65#2749C2214yescomplemented
66#2735C2214yescomplemented
67#2730C2214yescomplemented
68#2729C2214yescomplemented
69#2715C2214yescomplemented
70#2706C2214yescomplemented
71#2702C2214yescomplemented
72#2701C2214yescomplemented
73#2698C2214yescomplemented
74#2697C2214yescomplemented
75#2697C2214yescomplemented
76#2688C2214yescomplemented
77#2685C2214yes—
78#2684C2214yescomplemented
79#2678C2214yes—
80#2672C2214yescomplemented
81#2670C2214yes—
82#2670C2214yes—
83#2662C2214yescomplemented
84#2661C2214yescomplemented
85#2648C2214yescomplemented
86#2647C2212yescomplemented
87#2644C2212yes—
88#2644C2214yescomplemented
89#2644C2214yescomplemented
90#2640C2212yescomplemented
91#2637C2214yescomplemented
92#2636C2214yescomplemented
93#2636C2214yescomplemented
94#2630C2214yescomplemented
95#2630C2214yescomplemented
96#2629C2212yescomplemented
97#2629C2212yescomplemented
98#2625C2212yescomplemented
99#2624C2212yes—
100#2624C2212yescomplemented
101#2620C2212yescomplemented
102#2619C2212yes—
103#2604C2214yescomplemented
104#2603C2214yescomplemented
105#2603C2214yescomplemented
106#2571C2211yescharacteristic, complemented
107#2567C2211yescharacteristic, complemented
108#2566C2212yes—
109#2563C2211yescharacteristic
110#2559C2214yescomplemented
111#2557C2214yescomplemented
112#2555C2214yescomplemented
113#2554C2214yescomplemented
114#2554C2214yescomplemented
115#2553C2214yescomplemented
116#2553C2214yescomplemented
117#2552C2211yescharacteristic, complemented
118#2550C2212yescomplemented
119#2548C2211yescharacteristic
120#2547C2212yescomplemented
121#2545C2214yescomplemented
122#2543C2214yescomplemented
123#2541C2211yescharacteristic
124#2540C2212yes—
125#2538C2211yescharacteristic
126#2538C2211yescharacteristic, complemented
127#2538C2212yescomplemented
128#2537C2212yes—
129#2536C2214yescomplemented
130#2534C2214yescomplemented
131#2532C2214yescomplemented
132#2532C2214yescomplemented
133#2531C2214yescomplemented
134#2531C2212yescomplemented
135#2529C2214yescomplemented
136#2526C2214yescomplemented
137#2526C2214yescomplemented
138#2526C2212yescomplemented
139#2521C2214yescomplemented
140#2518C2214yescomplemented
141#2513C2212yes—
142#2513C2211yescharacteristic
143#2513C2212yescomplemented
144#2513C2212yescomplemented
145#2512C2212yes—
146#2512C2212yes—
147#2512C2214yescomplemented
148#2512C2212yescomplemented
149#2512C2212yescomplemented
150#2512C2212yescomplemented
151#2512C2212yescomplemented
152#2512C2212yescomplemented
153#2508C2212yescomplemented
154#2508C2212yescomplemented
155#2507C2212yescomplemented
156#2507C2211yescharacteristic, complemented
157#2500C2212yes—
158#2497C2211yescharacteristic, complemented
159#2496C2212yescomplemented
160#2495C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2212yescomplemented
163#2490C2212yes—
164#2490C2211yescharacteristic
165#2490C2212yescomplemented
166#2489C2212yescomplemented
167#2488C2214yescomplemented
168#2486C2212yescomplemented
169#2485C2212yescomplemented
170#2480C2214yescomplemented
171#2480C2214yescomplemented
172#2480C2214yescomplemented
173#2480C2214yescomplemented
174#2480C2214yescomplemented
175#2476C2212yescomplemented
176#2474C2214yescomplemented
177#2472C2214yescomplemented
178#2472C2214yescomplemented
179#2471C2212yescomplemented
180#2471C2214yescomplemented
181#2468C2214yescomplemented
182#2464C2214yescomplemented
183#2459C2214yescomplemented
184#2457C2214yescomplemented
185#2454C2212yescomplemented
186#2454C2211yescharacteristic, complemented
187#2452C2212yes—
188#2452C2212yescomplemented
189#2452C2212yescomplemented
190#2448C2212yescomplemented
191#2445C2211yescharacteristic
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2441C2212yescomplemented
195#2440C2212yescomplemented
196#2439C2212yescomplemented
197#2435C2212yes—
198#2433C2212yes—
199#2428C2211yescharacteristic
200#2427C2212yes—
201#2427C2212yescomplemented
202#2424C2214yescomplemented
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2420C2211yescharacteristic, complemented
206#2420C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2415C2212yescomplemented
210#2414C2212yes—
211#2414C2212yes—
212#2414C2212yes—
213#2411C2214yescomplemented
214#2408C2212yes—
215#2408C2212yes—
216#2408C2212yes—
217#2408C2212yes—
218#2398C2214yescomplemented
219#2395C2212yescomplemented
220#2392C2214yescomplemented
221#2392C2212yescomplemented
222#2373C2212yescomplemented
223#2373C2212yescomplemented
224#2372C2214yescomplemented
225#2370C2211yescharacteristic, complemented
226#2370C2211yescharacteristic, complemented
227#2369C2211yescharacteristic, complemented
228#2367C2211yescharacteristic
229#2367C2211yescharacteristic
230#2367C2212yescomplemented
231#2366C2211yescharacteristic
232#2363C2212yes—
233#2363C2212yes—
234#2363C2212yescomplemented
235#2363C2212yescomplemented
236#2361C2212yes—
237#2361C2211yescharacteristic
238#2361C2211yescharacteristic
239#2360C2211yescharacteristic, complemented
240#2360C2211yescharacteristic, complemented
241#2359C2212yescomplemented
242#2359C2212yescomplemented
243#2358C2214yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2212yescomplemented
247#2354C2212yescomplemented
248#2354C2211yescharacteristic, complemented
249#2352C2212yescomplemented
250D4×C4⋊C4C2211yescharacteristic
251#2346C2212yescomplemented
252#2346C2212yescomplemented
253#2346C2212yescomplemented
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256#2328C2212yescomplemented
257#2326C2212yescomplemented
258#2324C2212yes—
259#2321C2214yes—
260#2321C2214yescomplemented
261#2319C2212yescomplemented
262#2317C2212yescomplemented
263#2316C2212yescomplemented
264#2309C2212yes—
265#2309C2212yes—
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2212yescomplemented
268C4×#127C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#125C2211yescharacteristic, complemented
271C4×#124C2214yescomplemented
272C4×#124C2214yescomplemented
273C4×#123C2212yescomplemented
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic, complemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281#2298C2214yescomplemented
282#2298C2212yescomplemented
283#2296C2212yescomplemented
284#2295C2211yescharacteristic, complemented
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yescomplemented
288C2×#390C2212yes—
289#2290C2212yescomplemented
290#2283C2212yescomplemented
291C42×Q8C2211yescharacteristic, complemented
292C42×D4C2211yescharacteristic
293C42×D4C2212yescomplemented
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2212yescomplemented
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301#556—48no—
302#555—28no—
303#553—48no—
304D42—28no—
305#542—48no—
306#538—416no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314#529—28no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365#518—48no—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2314yes—
405C2×#117C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2314yes—
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414C22×C42C2312yes—
415C22×C42C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#399C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2314yes—
519#391C2314yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2314yes—
564#390C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2311yescharacteristic
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#383C2314yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2314yes—
810#376C2314yes—
811#376C2314yes—
812#376C2311yescharacteristic
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2314yes—
818C25C2414yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×Q8C2412yes—
822C22×D4—28no—
823C22×D4—28no—
824C22×D4—44no—
825C22×D4—44no—
826C22×D4—44no—
827C22×D4—44no—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864#127—24no—
865#127—44no—
866#127—42no—
867#126—28no—
868#126—48no—
869#126—48no—
870#126—48no—
871#126—48no—
872#126—48no—
873#126—48no—
874#125—24no—
875#125—42no—
876#125—44no—
877#124—24no—
878#124—216no—
879#124—216no—
880#124—44no—
881#124—44no—
882#124—48no—
883#124—44no—
884#124—48no—
885#123—28no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—44no—
891C22⋊Q8—24no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897#121—24no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—48no—
904#121—48no—
905#121—42no—
906#121—44no—
907#121—44no—
908#121—42no—
909#121—44no—
910#121—44no—
911#121—48no—
912#121—44no—
913#120—216no—
914#120—48no—
915#120—48no—
916#120—48no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—44no—
920C4×Q8—48no—
921C4×Q8—42no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—44no—
935C4×D4—42no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—48no—
941C4×D4—48no—
942C4×D4—48no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4#4118yes—
946#117—28no—
947#117—28no—
948#117—28no—
949#117—28no—
950#117—28no—
951#117—24no—
952#117—44no—
953#117—44no—
954#117—48no—
955#117—42no—
956#117—44no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—42no—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C42—24no—
1096C2×C42—44no—
1097C2×C42—44no—
1098C2×C42—44no—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194C24—28no—
1195C24—44no—
1196C24—44no—
1197C24—44no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24C2512yes—
1202C24C2514yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2511yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—28no—
1210C2×Q8—22no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—432no—
1266C2×D4—816no—
1267C2×D4C2×#4114yes—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4C2×#4118yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2514yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—41no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4C2×#4114yes—
1403C4⋊C4H(5,𝔽2)14yes—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—22no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—41no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4C2×#4118yes—
1474C22⋊C4H(5,𝔽2)14yes—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—28no—
1479C42—24no—
1480C42—22no—
1481C42—28no—
1482C42—28no—
1483C42—22no—
1484C42—22no—
1485C42—24no—
1486C42—24no—
1487C42—22no—
1488C42—28no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—42no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—44no—
1508C42—41no—
1509C42—44no—
1510C42—42no—
1511C42C2×#4114yes—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—21no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—22no—
1529C23—24no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—22no—
1545C23—416no—
1546C23—88no—
1547C23—88no—
1548C23—164no—
1549C23—164no—
1550C23—164no—
1551C23—164no—
1552C23C22×#4114yes—
1553C23C2×H(5,𝔽2)12yes—
1554C23C2611yescharacteristic
1555Q8—44no—
1556Q8—88no—
1557Q8—84no—
1558D4—28no—
1559D4—48no—
1560D4—416no—
1561D4—48no—
1562D4—44no—
1563D4—48no—
1564D4—44no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—88no—
1569D4—84no—
1570D4—88no—
1571D4—84no—
1572D4—88no—
1573D4—164no—
1574D4—164no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—216no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—48no—
1658C2×C4—44no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—88no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4—164no—
1667C2×C4—164no—
1668C2×C4C22×#4114yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4112yes—
1672C2×C4C2×H(5,𝔽2)14yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4#58512yes—
1677C2×C4#58512yes—
1678C2×C4#58512yes—
1679C2×C4#58512yes—
1680C22—22no—
1681C22—22no—
1682C22—24no—
1683C22—22no—
1684C22—24no—
1685C22—24no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—42no—
1692C22—41no—
1693C22—41no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—42no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—44no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—42no—
1710C22—44no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—44no—
1715C22—1616no—
1716C22C23×#4111yescharacteristic
1717C22C22×H(5,𝔽2)11yescharacteristic
1718C22C22×H(5,𝔽2)11yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22C2×#58511yescharacteristic
1722C22C2×#58511yescharacteristic
1723C4—22no—
1724C4—24no—
1725C4—22no—
1726C4—22no—
1727C4—24no—
1728C4—22no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4—44no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—42no—
1746C4—44no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4#346014yes—
1752C4#352114yes—
1753C2—42no—
1754C2—44no—
1755C2—82no—
1756C2—84no—
1757C2—82no—
1758C2C2×#346011yescharacteristic
1759C2C2×#352111yescharacteristic
1760C2#6280011yescharacteristic
1761C2#6301411yescharacteristic
1762C2#6302411yescharacteristic
1763C2#6302411yescharacteristic
1764C2#6302911yescharacteristic
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. #42746C2semidirect
2. #42740C2semidirect
3. #41834C2semidirect
4. #41235C2semidirect
5. #40169C2semidirect
6. #39497C2semidirect
7. #39458C2semidirect
8. #39408C2semidirect
9. #39079C2semidirect
10. #39046C2semidirect
11. #38953C2semidirect
12. #38922C2semidirect
13. #38910C2semidirect
14. #38842C2semidirect
15. #38250C2semidirect
16. #37946C2semidirect
17. #37637C2semidirect
18. #37520C2semidirect
19. #36596C2semidirect
20. #36594C2semidirect
21. #36470C2semidirect
22. #36414C2semidirect
23. #36300C2semidirect
24. #36176C2semidirect
25. #36075C2semidirect
26. #35823C2semidirect
27. #35277C2semidirect
28. #35266C2semidirect
29. #35197C2semidirect
30. #35007C2semidirect
31. #34970C2semidirect
32. #34800C2semidirect
33. #34310C2semidirect
34. C4×#555C2semidirect
35. #34153C2semidirect
36. C2×#556C22semidirect
38. C2×#553C22semidirect
40. C2×#542C22semidirect
41. C2×#538C22semidirect
44. #2868C22semidirect
45. #2860C22semidirect
46. #2860C22semidirect
47. #2860C22semidirect
50. #2857C22semidirect
52. #2856C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2831C22semidirect
59. #2797C22semidirect
60. #2790C22semidirect
61. #2779C22semidirect
62. #2768C22semidirect
63. #2761C22semidirect
64. #2757C22semidirect
65. #2749C22semidirect
66. #2735C22semidirect
67. #2730C22semidirect
68. #2729C22semidirect
69. #2715C22semidirect
70. #2706C22semidirect
71. #2702C22semidirect
72. #2701C22semidirect
73. #2698C22semidirect
74. #2697C22semidirect
75. #2697C22semidirect
76. #2688C22semidirect
78. #2684C22semidirect
80. #2672C22semidirect
83. #2662C22semidirect
84. #2661C22semidirect
85. #2648C22semidirect
86. #2647C22semidirect
88. #2644C22semidirect
89. #2644C22semidirect
90. #2640C22semidirect
91. #2637C22semidirect
92. #2636C22semidirect
93. #2636C22semidirect
94. #2630C22semidirect
95. #2630C22semidirect
96. #2629C22semidirect
97. #2629C22semidirect
98. #2625C22semidirect
100. #2624C22semidirect
101. #2620C22semidirect
103. #2604C22semidirect
104. #2603C22semidirect
105. #2603C22semidirect
106. #2571C22semidirect
107. #2567C22semidirect
110. #2559C22semidirect
111. #2557C22semidirect
112. #2555C22semidirect
113. #2554C22semidirect
114. #2554C22semidirect
115. #2553C22semidirect
116. #2553C22semidirect
117. #2552C22semidirect
118. #2550C22semidirect
120. #2547C22semidirect
121. #2545C22semidirect
122. #2543C22semidirect
126. #2538C22semidirect
127. #2538C22semidirect
129. #2536C22semidirect
130. #2534C22semidirect
131. #2532C22semidirect
132. #2532C22semidirect
133. #2531C22semidirect
134. #2531C22semidirect
135. #2529C22semidirect
136. #2526C22semidirect
137. #2526C22semidirect
138. #2526C22semidirect
139. #2521C22semidirect
140. #2518C22semidirect
143. #2513C22semidirect
144. #2513C22semidirect
147. #2512C22semidirect
148. #2512C22semidirect
149. #2512C22semidirect
150. #2512C22semidirect
151. #2512C22semidirect
152. #2512C22semidirect
153. #2508C22semidirect
154. #2508C22semidirect
155. #2507C22semidirect
156. #2507C22semidirect
158. #2497C22semidirect
159. #2496C22semidirect
160. #2495C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
165. #2490C22semidirect
166. #2489C22semidirect
167. #2488C22semidirect
168. #2486C22semidirect
169. #2485C22semidirect
170. #2480C22semidirect
171. #2480C22semidirect
172. #2480C22semidirect
173. #2480C22semidirect
174. #2480C22semidirect
175. #2476C22semidirect
176. #2474C22semidirect
177. #2472C22semidirect
178. #2472C22semidirect
179. #2471C22semidirect
180. #2471C22semidirect
181. #2468C22semidirect
182. #2464C22semidirect
183. #2459C22semidirect
184. #2457C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
190. #2448C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2441C22semidirect
195. #2440C22semidirect
196. #2439C22semidirect
201. #2427C22semidirect
202. #2424C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2415C22semidirect
213. #2411C22semidirect
218. #2398C22semidirect
219. #2395C22semidirect
220. #2392C22semidirect
221. #2392C22semidirect
222. #2373C22semidirect
223. #2373C22semidirect
224. #2372C22semidirect
225. #2370C22semidirect
226. #2370C22semidirect
227. #2369C22semidirect
230. #2367C22semidirect
234. #2363C22semidirect
235. #2363C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
241. #2359C22semidirect
242. #2359C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2352C22semidirect
251. #2346C22semidirect
252. #2346C22semidirect
253. #2346C22semidirect
256. #2328C22semidirect
257. #2326C22semidirect
260. #2321C22semidirect
261. #2319C22semidirect
262. #2317C22semidirect
263. #2316C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
270. C4×#125C22semidirect
271. C4×#124C22semidirect
272. C4×#124C22semidirect
273. C4×#123C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. #2298C22semidirect
282. #2298C22semidirect
283. #2296C22semidirect
284. #2295C22semidirect
287. #2293C22semidirect
289. #2290C22semidirect
290. #2283C22semidirect
291. C42×Q8C22semidirect
293. C42×D4C22semidirect
294. C42×D4C22semidirect
295. C4×#117C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#427462
#427402
#418342
#412352
#401692
#394972
#394582
#394082
#390792
#390462
#389532
#389222
#389102
#388422
#382502
#379462
#376372
#375202
#365962
#365942
#364702
#364142
#363002
#361762
#360752
#358232
#352772
#352662
#351972
#350072
#349702
#348002
#343102
C4×#5552
#341532