Finite Group Databasebeta

← #7654859

Subgroups — #7654859

Order 512.

5312 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42223C214yesmaximal, complemented
2#42034C214yesmaximal, complemented
3#42018C214yesmaximal, complemented
4#39730C212yesmaximal, complemented
5#39419C212yesmaximal, complemented
6#39416C212yesmaximal, complemented
7#39346C212yesmaximal, complemented
8#39262C212yesmaximal, complemented
9#39261C212yesmaximal, complemented
10#38205C212yesmaximal, complemented
11#38200C212yesmaximal, complemented
12#37954C212yesmaximal, complemented
13#37857C212yesmaximal, complemented
14#37766C212yesmaximal, complemented
15#37669C212yesmaximal, complemented
16#37627C211yesmaximal, characteristic, complemented
17#37626C211yesmaximal, characteristic, complemented
18#37624C211yesmaximal, characteristic, complemented
19#36502C212yesmaximal, complemented
20#36373C212yesmaximal, complemented
21#36203C212yesmaximal, complemented
22#36144C212yesmaximal, complemented
23#35827C214yesmaximal, complemented
24#35198C211yesmaximal, characteristic, complemented
25#35190C211yesmaximal, characteristic, complemented
26#35184C211yesmaximal, characteristic, complemented
27#35171C211yesmaximal, characteristic, complemented
28#35170C211yesmaximal, characteristic, complemented
29#35165C211yesmaximal, characteristic, complemented
30#34945C211yesmaximal, characteristic, complemented
31#34935C211yesmaximal, characteristic, complemented
32#34934C211yesmaximal, characteristic, complemented
33#34226C211yesmaximal, characteristic, complemented
34#34129C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#542C2212yescomplemented
38C2×#540C2212yes—
39C2×#535C2212yes—
40C2×#532C2211yescharacteristic
41C2×#529C2212yescomplemented
42C2×#525C2212yes—
43C2×C4×#41C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2863C2212yescomplemented
46#2861C2212yes—
47#2860C2212yescomplemented
48#2858C2212yes—
49#2857C2212yescomplemented
50#2856C2212yescomplemented
51#2854C2212yescomplemented
52#2854C2212yescomplemented
53#2850C2212yescomplemented
54#2850C2212yescomplemented
55#2847C2212yes—
56#2847C2212yes—
57#2841C2214yes—
58#2837C2214yescomplemented
59#2828C2214yescomplemented
60#2795C2214yescomplemented
61#2778C2214yescomplemented
62#2756C2214yescomplemented
63#2746C2214yes—
64#2741C2214yescomplemented
65#2740C2214yes—
66#2739C2214yescomplemented
67#2737C2214yescomplemented
68#2722C2214yescomplemented
69#2718C2214yescomplemented
70#2718C2214yescomplemented
71#2708C2214yescomplemented
72#2705C2214yes—
73#2703C2214yes—
74#2701C2214yes—
75#2699C2214yes—
76#2697C2214yes—
77#2696C2214yes—
78#2686C2214yescomplemented
79#2685C2214yes—
80#2680C2214yescomplemented
81#2678C2214yes—
82#2672C2214yes—
83#2670C2214yes—
84#2666C2214yescomplemented
85#2663C2214yescomplemented
86#2662C2214yescomplemented
87#2661C2214yescomplemented
88#2660C2212yescomplemented
89#2654C2214yescomplemented
90#2651C2214yescomplemented
91#2647C2212yescomplemented
92#2635C2214yes—
93#2635C2214yescomplemented
94#2629C2212yes—
95#2629C2212yescomplemented
96#2628C2212yes—
97#2625C2212yescomplemented
98#2624C2212yescomplemented
99#2624C2212yescomplemented
100#2624C2212yescomplemented
101#2620C2212yes—
102#2619C2212yes—
103#2619C2212yescomplemented
104#2617C2214yes—
105#2610C2214yescomplemented
106#2598C2214yescomplemented
107#2598C2214yescomplemented
108#2595C2214yescomplemented
109#2593C2214yescomplemented
110#2576C2214yescomplemented
111#2573C2214yescomplemented
112#2572C2214yes—
113#2571C2211yescharacteristic, complemented
114#2570C2212yescomplemented
115#2568C2211yescharacteristic, complemented
116#2559C2214yes—
117#2555C2214yes—
118#2554C2214yes—
119#2554C2214yescomplemented
120#2553C2214yescomplemented
121#2552C2211yescharacteristic, complemented
122#2552C2211yescharacteristic, complemented
123#2551C2211yescharacteristic, complemented
124#2550C2212yescomplemented
125#2548C2211yescharacteristic, complemented
126#2547C2211yescharacteristic
127#2547C2211yescharacteristic
128#2544C2212yes—
129#2544C2212yes—
130#2543C2214yes—
131#2542C2211yescharacteristic, complemented
132#2541C2211yescharacteristic
133#2541C2211yescharacteristic
134#2541C2211yescharacteristic, complemented
135#2539C2214yes—
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2537C2212yes—
139#2537C2212yes—
140#2537C2211yescharacteristic
141#2537C2211yescharacteristic
142#2536C2212yes—
143#2535C2214yes—
144#2535C2212yes—
145#2534C2214yes—
146#2534C2214yes—
147#2531C2214yescomplemented
148#2531C2214yescomplemented
149#2526C2214yes—
150#2526C2214yescomplemented
151#2525C2214yescomplemented
152#2522C2214yescomplemented
153#2521C2214yescomplemented
154#2518C2214yescomplemented
155#2514C2212yescomplemented
156#2512C2212yescomplemented
157#2510C2214yescomplemented
158#2500C2212yes—
159#2497C2212yescomplemented
160#2496C2212yescomplemented
161#2495C2212yescomplemented
162#2494C2212yescomplemented
163#2492C2212yescomplemented
164#2491C2212yescomplemented
165#2491C2212yescomplemented
166#2490C2212yescomplemented
167#2490C2212yescomplemented
168#2490C2212yescomplemented
169#2488C2214yescomplemented
170#2486C2212yes—
171#2476C2214yescomplemented
172#2476C2214yescomplemented
173#2474C2214yescomplemented
174#2472C2214yes—
175#2471C2214yes—
176#2468C2214yescomplemented
177#2467C2214yescomplemented
178#2467C2214yescomplemented
179#2464C2214yescomplemented
180#2461C2214yescomplemented
181#2459C2214yescomplemented
182#2457C2214yescomplemented
183#2453C2212yescomplemented
184#2452C2212yescomplemented
185#2448C2212yes—
186#2447C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2441C2212yes—
190#2439C2212yes—
191#2438C2214yescomplemented
192#2431C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2427C2212yes—
198#2427C2214yescomplemented
199#2426C2212yes—
200#2426C2212yescomplemented
201#2426C2212yescomplemented
202#2425C2214yes—
203#2425C2214yescomplemented
204#2424C2214yes—
205#2423C2212yescomplemented
206#2423C2212yescomplemented
207#2422C2212yescomplemented
208#2421C2212yescomplemented
209#2420C2212yescomplemented
210#2420C2212yescomplemented
211#2408C2212yes—
212#2407C2212yes—
213#2407C2212yes—
214#2401C2214yescomplemented
215#2392C2214yes—
216#2392C2214yescomplemented
217#2372C2214yescomplemented
218#2367C2212yescomplemented
219#2367C2212yescomplemented
220#2364C2214yescomplemented
221#2363C2212yes—
222#2363C2212yes—
223#2363C2214yescomplemented
224#2357C2211yescharacteristic
225#2357C2211yescharacteristic
226#2357C2212yescomplemented
227#2354C2212yes—
228#2354C2212yes—
229#2354C2211yescharacteristic, complemented
230#2354C2211yescharacteristic, complemented
231#2353C2212yes—
232#2353C2212yes—
233#2353C2214yescomplemented
234Q8×C4⋊C4C2211yescharacteristic, complemented
235Q8×C4⋊C4C2211yescharacteristic, complemented
236#2349C2211yescharacteristic
237#2349C2211yescharacteristic
238#2349C2212yescomplemented
239#2346C2211yescharacteristic
240#2346C2211yescharacteristic
241#2346C2212yescomplemented
242#2346C2212yescomplemented
243#2345C2211yescharacteristic
244#2345C2211yescharacteristic
245#2342C2212yes—
246#2342C2212yes—
247#2341C2211yescharacteristic
248#2341C2211yescharacteristic
249#2341C2212yes—
250#2339C2212yes—
251D4×C22⋊C4C2211yescharacteristic
252D4×C22⋊C4C2211yescharacteristic
253#2328C2212yescomplemented
254#2326C2212yescomplemented
255#2324C2212yes—
256#2324C2212yes—
257#2324C2212yescomplemented
258#2324C2212yescomplemented
259#2323C2212yescomplemented
260#2323C2212yescomplemented
261#2319C2212yescomplemented
262#2314C2212yescomplemented
263#2311C2212yes—
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#127C2212yes—
267C4×#127C2211yescharacteristic, complemented
268C4×#127C2211yescharacteristic, complemented
269C4×#124C2212yes—
270C4×C22⋊Q8C2212yescomplemented
271C4×#121C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yescomplemented
274#2295C2212yescomplemented
275#2293C2212yes—
276#2293C2212yes—
277#2293C2211yescharacteristic
278#2293C2211yescharacteristic
279#2293C2212yescomplemented
280#2293C2211yescharacteristic, complemented
281#2293C2211yescharacteristic, complemented
282#2290C2212yes—
283#2290C2212yes—
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2212yescomplemented
287#2283C2211yescharacteristic
288#2283C2212yescomplemented
289#2280C2212yes—
290#2280C2212yes—
291#2275C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#542—48no—
304#542—48no—
305#540—48no—
306#535—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315#529—48no—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328#525—48no—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C4×#41—28no—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4—28no—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
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×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2312yes—
418C22×C42C2311yescharacteristic
419#401C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
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#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#383C2314yes—
695#383C2314yes—
696#383C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#379C2312yes—
743#379C2312yes—
744#379C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—42no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—42no—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4—28no—
850C23×C4—44no—
851C23×C4—44no—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2411yescharacteristic
870C4⋊Q8—24no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873#127—28no—
874#127—24no—
875#127—44no—
876#127—44no—
877#126—48no—
878#126—48no—
879#126—48no—
880#125—44no—
881#125—44no—
882#124—28no—
883#124—28no—
884#124—28no—
885#124—48no—
886#124—48no—
887#124—44no—
888#124—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—48no—
905#121—48no—
906#121—48no—
907#121—48no—
908#121—48no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—48no—
919#120—48no—
920#120—48no—
921#120—48no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—44no—
947C4×D4—42no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—48no—
956#117—24no—
957#117—28no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—44no—
963#117—42no—
964#117—42no—
965#117—44no—
966#117—44no—
967#117—48no—
968#117—44no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C22⋊C4—28no—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—44no—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C42—28no—
1100C2×C42—44no—
1101C2×C42—44no—
1102C2×C42#4118yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2414yes—
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24—24no—
1202C24—24no—
1203C24—42no—
1204C24—42no—
1205C24—42no—
1206C24—42no—
1207C24—42no—
1208C24C2512yes—
1209C24C2512yes—
1210C24C2514yes—
1211C24C2511yescharacteristic
1212C24C2512yes—
1213#41—416no—
1214#41—816no—
1215C2×Q8—22no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8H(5,𝔽2)14yes—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—416no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
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—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4H(5,𝔽2)14yes—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—28no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—816no—
1328C22×C4C2×#4114yes—
1329C22×C4C2×#4114yes—
1330C22×C4C2×#4114yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—28no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—41no—
1389C4⋊C4—42no—
1390C4⋊C4—41no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—41no—
1451C22⋊C4—42no—
1452C22⋊C4—41no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—24no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—24no—
1505C42—24no—
1506C42—22no—
1507C42—22no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—41no—
1513C42—41no—
1514C42—42no—
1515C42—42no—
1516C42—44no—
1517C42—42no—
1518C42—44no—
1519C42—42no—
1520C42—44no—
1521C42C2×#4114yes—
1522C42C2×#4114yes—
1523C42C2×#4114yes—
1524C42C2×#4114yes—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—21no—
1535C23—22no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—24no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—24no—
1546C23—22no—
1547C23—24no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—22no—
1554C23—24no—
1555C23—24no—
1556C23—22no—
1557C23—22no—
1558C23—48no—
1559C23—48no—
1560C23—84no—
1561C23—84no—
1562C23—84no—
1563C23—84no—
1564C23—84no—
1565C23C22×#4112yes—
1566C23C2×H(5,𝔽2)14yes—
1567C23C2611yescharacteristic
1568Q8—28no—
1569Q8—48no—
1570Q8—164no—
1571D4—28no—
1572D4—48no—
1573D4—48no—
1574D4—48no—
1575D4—48no—
1576D4—44no—
1577D4—44no—
1578D4—48no—
1579D4—88no—
1580D4—88no—
1581D4—88no—
1582D4—88no—
1583D4—88no—
1584D4—164no—
1585D4—164no—
1586D4—164no—
1587D4—164no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—28no—
1603C2×C4—28no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—48no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—48no—
1673C2×C4—84no—
1674C2×C4—88no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—84no—
1678C2×C4—88no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—84no—
1682C2×C4—164no—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4112yes—
1687C2×C4C22×#4112yes—
1688C2×C4C22×#4112yes—
1689C2×C4C2×H(5,𝔽2)14yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4#58512yes—
1693C2×C4#58512yes—
1694C2×C4#58512yes—
1695C2×C4#58512yes—
1696C22—24no—
1697C22—24no—
1698C22—22no—
1699C22—22no—
1700C22—24no—
1701C22—22no—
1702C22—41no—
1703C22—42no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—41no—
1708C22—42no—
1709C22—42no—
1710C22—44no—
1711C22—42no—
1712C22—42no—
1713C22—44no—
1714C22—42no—
1715C22—42no—
1716C22—44no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—44no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—44no—
1726C22—42no—
1727C22—44no—
1728C22—42no—
1729C22—44no—
1730C22—42no—
1731C22—816no—
1732C22C23×#4111yescharacteristic
1733C22C22×H(5,𝔽2)11yescharacteristic
1734C22C22×H(5,𝔽2)11yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22C2×#58511yescharacteristic
1737C22C2×#58511yescharacteristic
1738C22C2×#58511yescharacteristic
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—24no—
1744C4—22no—
1745C4—22no—
1746C4—41no—
1747C4—42no—
1748C4—41no—
1749C4—44no—
1750C4—42no—
1751C4—42no—
1752C4—41no—
1753C4—42no—
1754C4—44no—
1755C4—41no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—44no—
1766C4—42no—
1767C4#349414yes—
1768C4#349414yes—
1769C2—44no—
1770C2—42no—
1771C2—84no—
1772C2—82no—
1773C2—82no—
1774C2#6268611yescharacteristic
1775C2C2×#349411yescharacteristic
1776C2C2×#349411yescharacteristic
1777C2#6301411yescharacteristic
1778C2#6301911yescharacteristic
1779C2#6302411yescharacteristic
1780C2#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. #42223C2semidirect
2. #42034C2semidirect
3. #42018C2semidirect
4. #39730C2semidirect
5. #39419C2semidirect
6. #39416C2semidirect
7. #39346C2semidirect
8. #39262C2semidirect
9. #39261C2semidirect
10. #38205C2semidirect
11. #38200C2semidirect
12. #37954C2semidirect
13. #37857C2semidirect
14. #37766C2semidirect
15. #37669C2semidirect
16. #37627C2semidirect
17. #37626C2semidirect
18. #37624C2semidirect
19. #36502C2semidirect
20. #36373C2semidirect
21. #36203C2semidirect
22. #36144C2semidirect
23. #35827C2semidirect
24. #35198C2semidirect
25. #35190C2semidirect
26. #35184C2semidirect
27. #35171C2semidirect
28. #35170C2semidirect
29. #35165C2semidirect
30. #34945C2semidirect
31. #34935C2semidirect
32. #34934C2semidirect
33. #34226C2semidirect
34. #34129C2semidirect
35. #34126C2semidirect
37. C2×#542C22semidirect
41. C2×#529C22semidirect
45. #2863C22semidirect
47. #2860C22semidirect
49. #2857C22semidirect
50. #2856C22semidirect
51. #2854C22semidirect
52. #2854C22semidirect
53. #2850C22semidirect
54. #2850C22semidirect
58. #2837C22semidirect
59. #2828C22semidirect
60. #2795C22semidirect
61. #2778C22semidirect
62. #2756C22semidirect
64. #2741C22semidirect
66. #2739C22semidirect
67. #2737C22semidirect
68. #2722C22semidirect
69. #2718C22semidirect
70. #2718C22semidirect
71. #2708C22semidirect
78. #2686C22semidirect
80. #2680C22semidirect
84. #2666C22semidirect
85. #2663C22semidirect
86. #2662C22semidirect
87. #2661C22semidirect
88. #2660C22semidirect
89. #2654C22semidirect
90. #2651C22semidirect
91. #2647C22semidirect
93. #2635C22semidirect
95. #2629C22semidirect
97. #2625C22semidirect
98. #2624C22semidirect
99. #2624C22semidirect
100. #2624C22semidirect
103. #2619C22semidirect
105. #2610C22semidirect
106. #2598C22semidirect
107. #2598C22semidirect
108. #2595C22semidirect
109. #2593C22semidirect
110. #2576C22semidirect
111. #2573C22semidirect
113. #2571C22semidirect
114. #2570C22semidirect
115. #2568C22semidirect
119. #2554C22semidirect
120. #2553C22semidirect
121. #2552C22semidirect
122. #2552C22semidirect
123. #2551C22semidirect
124. #2550C22semidirect
125. #2548C22semidirect
131. #2542C22semidirect
134. #2541C22semidirect
147. #2531C22semidirect
148. #2531C22semidirect
150. #2526C22semidirect
151. #2525C22semidirect
152. #2522C22semidirect
153. #2521C22semidirect
154. #2518C22semidirect
155. #2514C22semidirect
156. #2512C22semidirect
157. #2510C22semidirect
159. #2497C22semidirect
160. #2496C22semidirect
161. #2495C22semidirect
162. #2494C22semidirect
163. #2492C22semidirect
164. #2491C22semidirect
165. #2491C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2488C22semidirect
171. #2476C22semidirect
172. #2476C22semidirect
173. #2474C22semidirect
176. #2468C22semidirect
177. #2467C22semidirect
178. #2467C22semidirect
179. #2464C22semidirect
180. #2461C22semidirect
181. #2459C22semidirect
182. #2457C22semidirect
183. #2453C22semidirect
184. #2452C22semidirect
191. #2438C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
198. #2427C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
203. #2425C22semidirect
205. #2423C22semidirect
206. #2423C22semidirect
207. #2422C22semidirect
208. #2421C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
214. #2401C22semidirect
216. #2392C22semidirect
217. #2372C22semidirect
218. #2367C22semidirect
219. #2367C22semidirect
220. #2364C22semidirect
223. #2363C22semidirect
226. #2357C22semidirect
229. #2354C22semidirect
230. #2354C22semidirect
233. #2353C22semidirect
234. Q8×C4⋊C4C22semidirect
235. Q8×C4⋊C4C22semidirect
238. #2349C22semidirect
241. #2346C22semidirect
242. #2346C22semidirect
253. #2328C22semidirect
254. #2326C22semidirect
257. #2324C22semidirect
258. #2324C22semidirect
259. #2323C22semidirect
260. #2323C22semidirect
261. #2319C22semidirect
262. #2314C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
267. C4×#127C22semidirect
268. C4×#127C22semidirect
270. C4×C22⋊Q8C22semidirect
273. C4×#121C22semidirect
274. #2295C22semidirect
279. #2293C22semidirect
280. #2293C22semidirect
281. #2293C22semidirect
286. #2285C22semidirect
288. #2283C22semidirect
291. #2275C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#422232
#420342
#420182
#397302
#394192
#394162
#393462
#392622
#392612
#382052
#382002
#379542
#378572
#377662
#376692
#376272
#376262
#376242
#365022
#363732
#362032
#361442
#358272
#351982
#351902
#351842
#351712
#351702
#351652
#349452
#349352
#349342
#342262
#341292
#341262