Finite Group Databasebeta

← #8425218

Subgroups — #8425218

Order 512.

5276 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59698C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59051C211yesmaximal, characteristic, complemented
4#59049C211yesmaximal, characteristic, complemented
5#58999C212yesmaximal, complemented
6#55523C214yesmaximal, complemented
7#53964C214yesmaximal, complemented
8#53102C212yesmaximal, complemented
9#53066C212yesmaximal, complemented
10#53053C212yesmaximal, complemented
11#52977C212yesmaximal, complemented
12#52682C214yesmaximal, complemented
13#42880C212yesmaximal, complemented
14#42784C212yesmaximal, complemented
15#42460C212yesmaximal, complemented
16#42450C212yesmaximal, complemented
17#41107C214yesmaximal, complemented
18#40177C212yesmaximal, complemented
19#39884C212yesmaximal, complemented
20#39552C212yesmaximal, complemented
21#39488C211yesmaximal, characteristic, complemented
22#39481C211yesmaximal, characteristic, complemented
23#39385C211yesmaximal, characteristic, complemented
24#39136C211yesmaximal, characteristic, complemented
25#37671C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37625C212yesmaximal, complemented
28#37616C211yesmaximal, characteristic, complemented
29#37455C212yesmaximal, complemented
30#36314C211yesmaximal, characteristic, complemented
31#36127C211yesmaximal, characteristic, complemented
32#36100C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic
39C2×#547C2212yes—
40C2×#541C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic, complemented
43C2×#529C2211yescharacteristic
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×#525C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2868C2211yescharacteristic, complemented
49#2864C2212yescomplemented
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic, complemented
52#2848C2212yes—
53#2837C2214yescomplemented
54#2829C2214yes—
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2828C2214yes—
58#2828C2214yes—
59#2828C2214yescomplemented
60#2827C2214yescomplemented
61#2826C2214yes—
62#2818C2214yes—
63#2813C2214yes—
64#2813C2214yescomplemented
65#2812C2214yes—
66#2812C2214yes—
67#2807C2214yescomplemented
68#2803C2214yescomplemented
69#2803C2214yescomplemented
70#2800C2214yescomplemented
71#2797C2214yescomplemented
72#2780C2214yescomplemented
73#2777C2214yescomplemented
74#2773C2214yescomplemented
75#2757C2214yescomplemented
76#2757C2214yescomplemented
77#2756C2214yes—
78#2741C2214yescomplemented
79#2740C2214yescomplemented
80#2727C2214yescomplemented
81#2724C2214yes—
82#2721C2214yescomplemented
83#2721C2214yescomplemented
84#2718C2214yescomplemented
85#2718C2214yescomplemented
86#2714C2214yes—
87#2714C2214yes—
88#2714C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2707C2214yes—
92#2705C2214yescomplemented
93#2705C2214yescomplemented
94#2701C2214yes—
95#2697C2214yes—
96#2694C2214yes—
97#2691C2214yescomplemented
98#2685C2214yes—
99#2685C2214yes—
100#2678C2214yes—
101#2678C2214yes—
102#2673C2214yescomplemented
103#2669C2214yes—
104#2667C2214yescomplemented
105#2644C2214yescomplemented
106#2641C2214yescomplemented
107#2636C2214yescomplemented
108#2635C2214yescomplemented
109#2633C2214yescomplemented
110#2630C2214yes—
111#2630C2214yes—
112#2630C2214yescomplemented
113#2630C2214yescomplemented
114#2630C2214yescomplemented
115#2624C2212yes—
116#2624C2212yescomplemented
117#2624C2212yescomplemented
118#2621C2212yescomplemented
119#2620C2212yes—
120#2620C2212yescomplemented
121#2620C2212yescomplemented
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2619C2212yes—
125#2619C2212yes—
126#2619C2212yescomplemented
127#2603C2214yescomplemented
128#2602C2214yescomplemented
129#2602C2214yescomplemented
130#2600C2214yescomplemented
131#2600C2214yescomplemented
132#2579C2214yescomplemented
133#2571C2211yescharacteristic, complemented
134#2568C2211yescharacteristic, complemented
135#2566C2212yescomplemented
136#2552C2212yescomplemented
137#2552C2212yescomplemented
138#2548C2212yes—
139#2548C2212yescomplemented
140#2548C2211yescharacteristic, complemented
141#2547C2212yescomplemented
142#2544C2212yes—
143#2542C2211yescharacteristic
144#2542C2211yescharacteristic
145#2542C2211yescharacteristic
146#2541C2212yes—
147#2541C2211yescharacteristic
148#2541C2211yescharacteristic
149#2541C2211yescharacteristic, complemented
150#2540C2212yes—
151#2540C2212yes—
152#2540C2212yes—
153#2540C2212yescomplemented
154#2539C2214yes—
155#2538C2212yescomplemented
156#2538C2212yescomplemented
157#2537C2211yescharacteristic
158#2537C2212yes—
159#2537C2212yes—
160#2536C2212yescomplemented
161#2533C2214yescomplemented
162#2531C2214yescomplemented
163#2531C2212yescomplemented
164#2530C2214yes—
165#2529C2212yescomplemented
166#2518C2212yes—
167#2513C2212yes—
168#2513C2212yescomplemented
169#2512C2212yes—
170#2512C2212yes—
171#2512C2211yescharacteristic, complemented
172#2511C2212yescomplemented
173#2507C2211yescharacteristic, complemented
174#2507C2212yescomplemented
175#2502C2212yescomplemented
176#2501C2212yes—
177#2500C2212yes—
178#2500C2211yescharacteristic
179#2500C2212yescomplemented
180#2499C2212yes—
181#2499C2212yescomplemented
182#2495C2212yes—
183#2495C2211yescharacteristic, complemented
184#2490C2212yescomplemented
185#2490C2211yescharacteristic, complemented
186#2485C2211yescharacteristic
187#2480C2212yes—
188#2468C2212yes—
189#2468C2214yescomplemented
190#2467C2212yes—
191#2467C2214yescomplemented
192#2466C2214yescomplemented
193#2464C2214yes—
194#2460C2214yescomplemented
195#2457C2212yes—
196#2456C2214yescomplemented
197#2456C2214yescomplemented
198#2455C2214yes—
199#2455C2214yes—
200#2454C2211yescharacteristic
201#2454C2214yescomplemented
202#2448C2212yescomplemented
203#2447C2211yescharacteristic
204#2445C2212yes—
205#2445C2214yescomplemented
206#2443C2214yescomplemented
207#2442C2211yescharacteristic
208#2441C2211yescharacteristic
209#2441C2212yescomplemented
210#2435C2211yescharacteristic
211#2433C2212yes—
212#2432C2212yes—
213#2432C2212yescomplemented
214#2432C2212yescomplemented
215#2432C2212yescomplemented
216#2431C2212yes—
217#2431C2212yescomplemented
218#2429C2212yescomplemented
219#2429C2212yescomplemented
220#2429C2212yescomplemented
221#2429C2212yescomplemented
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yescomplemented
225#2427C2211yescharacteristic
226#2427C2212yescomplemented
227#2426C2212yes—
228#2426C2212yescomplemented
229#2423C2212yescomplemented
230#2422C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2422C2212yescomplemented
234#2422C2212yescomplemented
235#2422C2212yescomplemented
236#2421C2212yes—
237#2420C2211yescharacteristic
238#2420C2212yescomplemented
239#2420C2212yescomplemented
240#2418C2214yes—
241#2418C2212yes—
242#2417C2211yescharacteristic
243#2416C2212yescomplemented
244#2415C2212yes—
245#2415C2212yescomplemented
246#2414C2212yes—
247#2414C2212yes—
248#2414C2211yescharacteristic
249#2408C2212yes—
250#2408C2211yescharacteristic
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2397C2214yes—
256#2395C2212yes—
257#2395C2212yes—
258#2392C2212yes—
259#2392C2212yes—
260#2367C2212yescomplemented
261#2365C2211yescharacteristic, complemented
262#2365C2211yescharacteristic, complemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2362C2212yes—
266#2361C2212yes—
267#2361C2214yescomplemented
268#2361C2212yescomplemented
269#2356C2212yescomplemented
270#2354C2211yescharacteristic
271Q8×C4⋊C4C2211yescharacteristic, complemented
272D4×C4⋊C4C2212yes—
273D4×C4⋊C4C2212yescomplemented
274D4×C4⋊C4C2212yescomplemented
275#2341C2212yes—
276#2323C2212yescomplemented
277#2322C2214yescomplemented
278#2317C2212yescomplemented
279#2314C2212yescomplemented
280C4×#127C2212yes—
281C4×#127C2212yes—
282C4×#127C2211yescharacteristic, complemented
283C4×#125C2211yescharacteristic, complemented
284C4×#126C2212yescomplemented
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2295C2212yescomplemented
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#556—44no—
305#550—48no—
306#547—44no—
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×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2314yes—
319C2×#127C2312yes—
320#529—44no—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336#525—48no—
337#525—48no—
338#525—48no—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#120C2314yes—
381C2×#120C2312yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×D4—44no—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2314yes—
428C22×C4⋊C4C2311yescharacteristic
429C22×C22⋊C4C2312yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2312yes—
447#399C2314yes—
448#399C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2312yes—
482#397C2312yes—
483#397C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#396C2312yes—
500#396C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#392C2312yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2314yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2314yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#383C2312yes—
747#383C2314yes—
748#382C2311yescharacteristic
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2311yescharacteristic
753#382C2312yes—
754#381C2314yes—
755#381C2312yes—
756#381C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2312yes—
778#379C2314yes—
779#379C2312yes—
780#379C2312yes—
781#379C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818#376C2314yes—
819#376C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2412yes—
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×Q8C2412yes—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4—42no—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C23×C4—28no—
861C23×C4—44no—
862C23×C4—44no—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2414yes—
878C23×C4C2414yes—
879C4⋊Q8—24no—
880C4⋊Q8—24no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883#127—24no—
884#127—44no—
885#127—44no—
886#127—44no—
887#127—48no—
888#126—44no—
889#126—48no—
890#126—44no—
891#126—48no—
892#126—48no—
893#125—24no—
894#125—42no—
895#125—48no—
896#125—48no—
897#124—42no—
898#124—44no—
899#124—42no—
900#124—44no—
901#124—44no—
902#124—44no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—44no—
909#123—48no—
910#123—48no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—42no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—42no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923#121—24no—
924#121—28no—
925#121—24no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—48no—
930#121—44no—
931#121—42no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—42no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#120—44no—
945#120—48no—
946#120—48no—
947#120—48no—
948C4×Q8—28no—
949C4×Q8—24no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—48no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—44no—
963C4×D4—42no—
964C4×D4—48no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—42no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—48no—
976C4×D4—48no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—48no—
980C4×D4—48no—
981#117—24no—
982#117—24no—
983#117—44no—
984#117—44no—
985#117—44no—
986#117—44no—
987#117—44no—
988#117—44no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4—48no—
991C2×C4⋊C4—44no—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C22⋊C4—44no—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C42—24no—
1134C2×C42—24no—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216C24—24no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24—42no—
1223C24C2512yes—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2511yescharacteristic
1227C24C2514yes—
1228C24C2511yescharacteristic
1229#41—816no—
1230#41—816no—
1231#41—816no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—41no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
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—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—416no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—28no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—28no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—816no—
1356C22×C4H(5,𝔽2)14yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2514yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2514yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—28no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—41no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4H(5,𝔽2)14yes—
1449C22⋊C4—24no—
1450C22⋊C4—22no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—41no—
1482C22⋊C4—44no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—44no—
1486C22⋊C4—41no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—24no—
1533C42—24no—
1534C42—22no—
1535C42—24no—
1536C42—24no—
1537C42—22no—
1538C42—28no—
1539C42—22no—
1540C42—24no—
1541C42—24no—
1542C42—22no—
1543C42—22no—
1544C42—24no—
1545C42—42no—
1546C42—41no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—42no—
1552C42H(5,𝔽2)14yes—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—24no—
1570C23—24no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—21no—
1578C23—21no—
1579C23—22no—
1580C23—24no—
1581C23—22no—
1582C23—24no—
1583C23—24no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—24no—
1592C23—22no—
1593C23—21no—
1594C23—48no—
1595C23—84no—
1596C23—84no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23C2×H(5,𝔽2)12yes—
1602C23C2611yescharacteristic
1603Q8—44no—
1604Q8—48no—
1605Q8—48no—
1606D4—44no—
1607D4—48no—
1608D4—48no—
1609D4—48no—
1610D4—48no—
1611D4—44no—
1612D4—44no—
1613D4—44no—
1614D4—48no—
1615D4—84no—
1616D4—88no—
1617D4—88no—
1618D4—88no—
1619D4—88no—
1620D4—88no—
1621D4—88no—
1622D4—84no—
1623D4—84no—
1624D4—88no—
1625D4—88no—
1626D4—88no—
1627D4—164no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—28no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—44no—
1707C2×C4—48no—
1708C2×C4—44no—
1709C2×C4—48no—
1710C2×C4—48no—
1711C2×C4—44no—
1712C2×C4—88no—
1713C2×C4—82no—
1714C2×C4—82no—
1715C2×C4—84no—
1716C2×C4—84no—
1717C2×C4—88no—
1718C2×C4—84no—
1719C2×C4—88no—
1720C2×C4—88no—
1721C2×C4C2×H(5,𝔽2)14yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4#58512yes—
1729C2×C4#58512yes—
1730C2×C4#58512yes—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—42no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—44no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—44no—
1747C22—42no—
1748C22—44no—
1749C22—41no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—42no—
1758C22—41no—
1759C22—42no—
1760C22—42no—
1761C22—44no—
1762C22—42no—
1763C22—41no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—816no—
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C22×H(5,𝔽2)11yescharacteristic
1776C22C22×H(5,𝔽2)11yescharacteristic
1777C22C2×#58511yescharacteristic
1778C22C2×#58511yescharacteristic
1779C22C2×#58511yescharacteristic
1780C222−1+611yescharacteristic
1781C4—22no—
1782C4—22no—
1783C4—24no—
1784C4—22no—
1785C4—41no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—42no—
1792C4—44no—
1793C4—44no—
1794C4—44no—
1795C4—42no—
1796C4—41no—
1797C4—42no—
1798C4—42no—
1799C4—42no—
1800C4—41no—
1801C4—42no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4#353914yes—
1809C4#354314yes—
1810C2—42no—
1811C2—81no—
1812C2—82no—
1813C2—84no—
1814C2—82no—
1815C2—82no—
1816C2C2×#353911yescharacteristic
1817C2C2×#354311yescharacteristic
1818C2#6274811yescharacteristic
1819C2#6292111yescharacteristic
1820C2#6292511yescharacteristic
1821C2#6292511yescharacteristic
1822C2#6302211yescharacteristic
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. #59698C2semidirect
2. #59646C2semidirect
3. #59051C2semidirect
4. #59049C2semidirect
5. #58999C2semidirect
6. #55523C2semidirect
7. #53964C2semidirect
8. #53102C2semidirect
9. #53066C2semidirect
10. #53053C2semidirect
11. #52977C2semidirect
12. #52682C2semidirect
13. #42880C2semidirect
14. #42784C2semidirect
15. #42460C2semidirect
16. #42450C2semidirect
17. #41107C2semidirect
18. #40177C2semidirect
19. #39884C2semidirect
20. #39552C2semidirect
21. #39488C2semidirect
22. #39481C2semidirect
23. #39385C2semidirect
24. #39136C2semidirect
25. #37671C2semidirect
26. #37626C2semidirect
27. #37625C2semidirect
28. #37616C2semidirect
29. #37455C2semidirect
30. #36314C2semidirect
31. #36127C2semidirect
32. #36100C2semidirect
33. #34936C2semidirect
34. #34797C2semidirect
35. #34700C2semidirect
36. C2×#556C22semidirect
37. C2×#550C22semidirect
40. C2×#541C22semidirect
42. C2×#532C22semidirect
48. #2868C22semidirect
49. #2864C22semidirect
51. #2857C22semidirect
53. #2837C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
59. #2828C22semidirect
60. #2827C22semidirect
64. #2813C22semidirect
67. #2807C22semidirect
68. #2803C22semidirect
69. #2803C22semidirect
70. #2800C22semidirect
71. #2797C22semidirect
72. #2780C22semidirect
73. #2777C22semidirect
74. #2773C22semidirect
75. #2757C22semidirect
76. #2757C22semidirect
78. #2741C22semidirect
79. #2740C22semidirect
80. #2727C22semidirect
82. #2721C22semidirect
83. #2721C22semidirect
84. #2718C22semidirect
85. #2718C22semidirect
88. #2714C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
92. #2705C22semidirect
93. #2705C22semidirect
97. #2691C22semidirect
102. #2673C22semidirect
104. #2667C22semidirect
105. #2644C22semidirect
106. #2641C22semidirect
107. #2636C22semidirect
108. #2635C22semidirect
109. #2633C22semidirect
112. #2630C22semidirect
113. #2630C22semidirect
114. #2630C22semidirect
116. #2624C22semidirect
117. #2624C22semidirect
118. #2621C22semidirect
120. #2620C22semidirect
121. #2620C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
126. #2619C22semidirect
127. #2603C22semidirect
128. #2602C22semidirect
129. #2602C22semidirect
130. #2600C22semidirect
131. #2600C22semidirect
132. #2579C22semidirect
133. #2571C22semidirect
134. #2568C22semidirect
135. #2566C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
139. #2548C22semidirect
140. #2548C22semidirect
141. #2547C22semidirect
149. #2541C22semidirect
153. #2540C22semidirect
155. #2538C22semidirect
156. #2538C22semidirect
160. #2536C22semidirect
161. #2533C22semidirect
162. #2531C22semidirect
163. #2531C22semidirect
165. #2529C22semidirect
168. #2513C22semidirect
171. #2512C22semidirect
172. #2511C22semidirect
173. #2507C22semidirect
174. #2507C22semidirect
175. #2502C22semidirect
179. #2500C22semidirect
181. #2499C22semidirect
183. #2495C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
189. #2468C22semidirect
191. #2467C22semidirect
192. #2466C22semidirect
194. #2460C22semidirect
196. #2456C22semidirect
197. #2456C22semidirect
201. #2454C22semidirect
202. #2448C22semidirect
205. #2445C22semidirect
206. #2443C22semidirect
209. #2441C22semidirect
213. #2432C22semidirect
214. #2432C22semidirect
215. #2432C22semidirect
217. #2431C22semidirect
218. #2429C22semidirect
219. #2429C22semidirect
220. #2429C22semidirect
221. #2429C22semidirect
224. #2428C22semidirect
226. #2427C22semidirect
228. #2426C22semidirect
229. #2423C22semidirect
233. #2422C22semidirect
234. #2422C22semidirect
235. #2422C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
243. #2416C22semidirect
245. #2415C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
260. #2367C22semidirect
261. #2365C22semidirect
262. #2365C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
267. #2361C22semidirect
268. #2361C22semidirect
269. #2356C22semidirect
271. Q8×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
274. D4×C4⋊C4C22semidirect
276. #2323C22semidirect
277. #2322C22semidirect
278. #2317C22semidirect
279. #2314C22semidirect
282. C4×#127C22semidirect
283. C4×#125C22semidirect
284. C4×#126C22semidirect
289. C4×#121C22semidirect
291. #2295C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596982
#596462
#590512
#590492
#589992
#555232
#539642
#531022
#530662
#530532
#529772
#526822
#428802
#427842
#424602
#424502
#411072
#401772
#398842
#395522
#394882
#394812
#393852
#391362
#376712
#376262
#376252
#376162
#374552
#363142
#361272
#361002
#349362
#347972
#347002