Finite Group Databasebeta

← #9515867

Subgroups — #9515867

Order 512.

4345 conjugacy classes of subgroups.

The subgroup lattice has 2170 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57628C212yesmaximal, complemented
2#57452C212yesmaximal, complemented
3#57126C212yesmaximal, complemented
4#56323C212yesmaximal, complemented
5#55634C212yesmaximal, complemented
6#55465C212yesmaximal, complemented
7#54542C212yesmaximal, complemented
8#54442C212yesmaximal, complemented
9#54022C212yesmaximal, complemented
10#53962C212yesmaximal, complemented
11#53740C212yesmaximal, complemented
12#53579C212yesmaximal, complemented
13#53195C211yesmaximal, characteristic, complemented
14#52624C212yesmaximal, complemented
15#52017C212yesmaximal, complemented
16#51981C212yesmaximal, complemented
17#51869C212yesmaximal, complemented
18#51674C212yesmaximal, complemented
19#51492C212yesmaximal, complemented
20#47282C212yesmaximal, complemented
21#46373C212yesmaximal, complemented
22#46132C211yesmaximal, characteristic, complemented
23#44778C212yesmaximal, complemented
24#43662C212yesmaximal, complemented
25#43385C212yesmaximal, complemented
26#42856C212yesmaximal, complemented
27#42112C212yesmaximal, complemented
28#41876C212yesmaximal, complemented
29#41511C212yesmaximal, complemented
30#41300C212yesmaximal, complemented
31#39543C211yesmaximal, characteristic, complemented
32#39137C211yesmaximal, characteristic, complemented
33#37754C211yesmaximal, characteristic, complemented
34#37212C211yesmaximal, characteristic, complemented
35#36759C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic, complemented
37C2×#559C2211yescharacteristic, complemented
38C2×#543C2211yescharacteristic
39C2×#542C2212yes—
40C2×#529C2211yescharacteristic
41#2856C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2838C2212yes—
46#2838C2212yes—
47#2838C2212yescomplemented
48#2837C2212yes—
49#2834C2212yescomplemented
50#2831C2212yescomplemented
51#2830C2212yescomplemented
52#2829C2212yes—
53#2828C2212yes—
54#2827C2212yes—
55#2827C2212yes—
56#2826C2212yes—
57#2825C2212yes—
58#2824C2212yes—
59#2824C2212yescomplemented
60#2822C2211yescharacteristic, complemented
61#2822C2211yescharacteristic, complemented
62#2821C2212yescomplemented
63#2814C2212yes—
64#2814C2212yes—
65#2810C2211yescharacteristic, complemented
66#2809C2211yescharacteristic, complemented
67#2808C2211yescharacteristic, complemented
68#2806C2211yescharacteristic, complemented
69#2805C2212yescomplemented
70#2803C2212yes—
71#2803C2212yes—
72#2801C2212yescomplemented
73#2800C2212yescomplemented
74#2797C2212yes—
75#2797C2212yes—
76#2793C2212yes—
77#2793C2212yes—
78#2792C2212yescomplemented
79#2792C2212yescomplemented
80#2789C2212yescomplemented
81#2788C2212yescomplemented
82#2788C2212yescomplemented
83#2787C2212yes—
84#2787C2212yescomplemented
85#2786C2212yes—
86#2786C2212yescomplemented
87#2783C2212yescomplemented
88#2781C2212yes—
89#2780C2212yes—
90#2778C2212yes—
91#2778C2212yes—
92#2778C2212yes—
93#2778C2212yescomplemented
94#2777C2212yes—
95#2777C2212yes—
96#2777C2212yes—
97#2777C2212yescomplemented
98#2777C2212yescomplemented
99#2776C2212yescomplemented
100#2776C2212yescomplemented
101#2775C2212yes—
102#2775C2212yescomplemented
103#2773C2212yes—
104#2772C2212yes—
105#2764C2212yescomplemented
106#2761C2212yes—
107#2761C2212yes—
108#2761C2212yescomplemented
109#2760C2212yes—
110#2753C2212yes—
111#2753C2212yes—
112#2752C2212yes—
113#2751C2212yes—
114#2749C2212yes—
115#2749C2212yes—
116#2746C2212yes—
117#2745C2212yes—
118#2744C2212yes—
119#2743C2212yes—
120#2740C2212yes—
121#2740C2212yes—
122#2738C2212yescomplemented
123#2737C2212yescomplemented
124#2737C2212yescomplemented
125#2734C2211yescharacteristic, complemented
126#2732C2211yescharacteristic, complemented
127#2732C2212yescomplemented
128#2731C2212yescomplemented
129#2730C2212yes—
130#2730C2212yes—
131#2730C2212yes—
132#2729C2212yes—
133#2729C2212yes—
134#2729C2212yescomplemented
135#2727C2212yescomplemented
136#2727C2211yescharacteristic, complemented
137#2723C2212yes—
138#2723C2212yescomplemented
139#2723C2212yescomplemented
140#2722C2212yescomplemented
141#2711C2212yes—
142#2710C2212yes—
143#2709C2212yescomplemented
144#2709C2212yescomplemented
145#2708C2212yes—
146#2708C2212yescomplemented
147#2707C2212yescomplemented
148#2706C2212yes—
149#2705C2212yes—
150#2705C2212yescomplemented
151#2705C2212yescomplemented
152#2703C2212yes—
153#2702C2212yes—
154#2702C2212yes—
155#2701C2212yes—
156#2701C2212yes—
157#2701C2212yescomplemented
158#2700C2212yes—
159#2700C2212yes—
160#2700C2212yes—
161#2700C2212yescomplemented
162#2696C2212yes—
163#2696C2212yescomplemented
164#2695C2212yes—
165#2692C2212yes—
166#2692C2212yes—
167#2692C2212yescomplemented
168#2692C2212yescomplemented
169#2691C2212yes—
170#2690C2212yes—
171#2689C2212yes—
172#2689C2212yescomplemented
173#2688C2212yes—
174#2687C2212yes—
175#2686C2212yes—
176#2686C2212yes—
177#2686C2212yes—
178#2683C2212yes—
179#2683C2212yes—
180#2683C2211yescharacteristic, complemented
181#2682C2212yes—
182#2682C2212yes—
183#2681C2212yes—
184#2681C2212yes—
185#2681C2212yes—
186#2681C2212yescomplemented
187#2678C2212yes—
188#2677C2212yescomplemented
189#2674C2212yes—
190#2674C2212yescomplemented
191#2673C2212yes—
192#2673C2212yes—
193#2673C2212yes—
194#2672C2212yes—
195#2672C2212yes—
196#2672C2212yes—
197#2671C2212yes—
198#2670C2212yes—
199#2668C2212yes—
200#2668C2212yes—
201#2667C2212yescomplemented
202#2665C2212yescomplemented
203#2663C2212yescomplemented
204#2662C2212yes—
205#2662C2212yes—
206#2655C2212yescomplemented
207#2655C2212yescomplemented
208#2655C2212yescomplemented
209#2655C2212yescomplemented
210#2653C2212yes—
211#2653C2212yescomplemented
212#2651C2212yes—
213#2649C2212yes—
214#2649C2212yescomplemented
215#2646C2212yescomplemented
216#2639C2212yes—
217#2639C2211yescharacteristic
218#2639C2212yescomplemented
219#2638C2212yescomplemented
220#2635C2212yes—
221#2630C2212yes—
222#2627C2211yescharacteristic
223#2626C2211yescharacteristic
224#2625C2212yes—
225#2624C2212yes—
226#2620C2212yescomplemented
227#2617C2211yescharacteristic
228#2617C2211yescharacteristic
229#2617C2211yescharacteristic
230#2612C2212yescomplemented
231#2610C2212yes—
232#2608C2212yescomplemented
233#2604C2212yes—
234#2603C2212yes—
235#2601C2212yescomplemented
236#2601C2212yescomplemented
237#2598C2212yes—
238#2597C2212yescomplemented
239#2596C2212yes—
240#2596C2212yes—
241#2595C2212yescomplemented
242#2581C2212yescomplemented
243#2581C2212yescomplemented
244#2578C2212yes—
245#2578C2212yescomplemented
246#2576C2212yescomplemented
247#2575C2212yescomplemented
248#2574C2212yescomplemented
249#2560C2212yes—
250#2560C2212yescomplemented
251#2559C2212yes—
252#2557C2212yes—
253#2557C2212yes—
254#2554C2212yes—
255#2553C2212yes—
256#2553C2212yescomplemented
257#2549C2212yescomplemented
258#2548C2212yescomplemented
259#2543C2212yes—
260#2541C2211yescharacteristic, complemented
261#2540C2212yes—
262#2538C2211yescharacteristic, complemented
263#2537C2212yes—
264#2536C2212yescomplemented
265#2534C2212yes—
266#2533C2212yescomplemented
267#2531C2212yes—
268#2530C2212yes—
269#2529C2212yes—
270#2529C2212yescomplemented
271#2529C2212yescomplemented
272#2528C2212yescomplemented
273#2527C2212yescomplemented
274#2526C2212yescomplemented
275#2525C2212yescomplemented
276#2519C2212yes—
277#2518C2212yes—
278#2514C2212yescomplemented
279#2510C2212yes—
280#2509C2212yescomplemented
281#2507C2212yescomplemented
282#2505C2212yes—
283#2505C2212yescomplemented
284#2494C2212yes—
285#2491C2212yes—
286#2488C2212yes—
287#2488C2212yescomplemented
288#2488C2212yescomplemented
289#2488C2212yescomplemented
290#2482C2212yes—
291#2480C2212yes—
292#2479C2212yescomplemented
293#2478C2212yescomplemented
294#2477C2212yes—
295#2477C2212yes—
296#2476C2212yes—
297#2476C2212yes—
298#2476C2212yes—
299#2474C2212yes—
300#2472C2212yes—
301#2472C2212yes—
302#2471C2212yes—
303#2470C2212yes—
304#2470C2212yescomplemented
305#2470C2212yescomplemented
306#2468C2212yes—
307#2467C2212yes—
308#2466C2212yescomplemented
309#2465C2212yes—
310#2465C2212yescomplemented
311#2464C2212yes—
312#2463C2212yes—
313#2463C2212yes—
314#2462C2212yescomplemented
315#2459C2212yes—
316#2458C2212yescomplemented
317#2458C2212yescomplemented
318#2457C2212yes—
319#2457C2212yescomplemented
320#2454C2212yescomplemented
321#2452C2212yes—
322#2452C2212yes—
323#2450C2212yes—
324#2449C2212yes—
325#2446C2212yescomplemented
326#2445C2212yescomplemented
327#2444C2212yes—
328#2444C2212yes—
329#2443C2212yes—
330#2439C2212yescomplemented
331#2438C2212yescomplemented
332#2438C2212yescomplemented
333#2429C2212yes—
334#2429C2212yes—
335#2428C2212yes—
336#2426C2212yes—
337#2426C2212yes—
338#2426C2212yes—
339#2425C2212yes—
340#2424C2212yes—
341#2424C2212yes—
342#2423C2212yes—
343#2421C2212yes—
344#2421C2212yescomplemented
345#2419C2212yescomplemented
346#2419C2212yescomplemented
347#2415C2212yes—
348#2415C2212yes—
349#2415C2212yes—
350#2412C2212yes—
351#2411C2212yes—
352#2398C2212yes—
353#2398C2212yescomplemented
354#2396C2212yes—
355#2379C2211yescharacteristic, complemented
356#2378C2212yescomplemented
357#2372C2212yescomplemented
358#2367C2212yes—
359#2365C2212yescomplemented
360#2364C2212yes—
361#2364C2212yes—
362#2359C2212yescomplemented
363#2358C2212yes—
364#2353C2212yes—
365Q8×C4⋊C4C2211yescharacteristic, complemented
366#2343C2212yes—
367#2335C2212yes—
368#2333C2212yes—
369#2329C2211yescharacteristic
370#2327C2212yescomplemented
371#2325C2211yescharacteristic
372#2325C2211yescharacteristic
373#2324C2212yescomplemented
374#2323C2212yes—
375#2316C2211yescharacteristic
376#2312C2211yescharacteristic
377C4×C22⋊Q8C2211yescharacteristic
378C2×#388C2211yescharacteristic
379#563—44no—
380#559—44no—
381#543—44no—
382#542—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×#127C2311yescharacteristic
387C2×#127C2312yes—
388#529—44no—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2311yescharacteristic
397C2×#125C2311yescharacteristic
398C2×#124C2312yes—
399C2×#124C2311yescharacteristic
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#120C2312yes—
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2311yescharacteristic
477C22×C22⋊C4C2311yescharacteristic
478C22×C42C2311yescharacteristic
479#401C2312yes—
480#401C2312yes—
481#401C2312yes—
482#401C2312yes—
483#401C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2311yescharacteristic
755#390C2311yescharacteristic
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2311yescharacteristic
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#389C2312yes—
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#384C2311yescharacteristic
1023#384C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#382C2311yescharacteristic
1029#382C2311yescharacteristic
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#380C2311yescharacteristic
1047#380C2311yescharacteristic
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#379C2312yes—
1067#379C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2411yescharacteristic
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C4⋊Q8—28no—
1147C4⋊Q8—44no—
1148C4⋊Q8—82no—
1149#127—42no—
1150#127—82no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—82no—
1157#125—42no—
1158#125—42no—
1159#125—42no—
1160#124—24no—
1161#124—28no—
1162#124—44no—
1163#124—44no—
1164#124—44no—
1165#124—44no—
1166#124—82no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—82no—
1176#123—82no—
1177#123—82no—
1178C22⋊Q8—24no—
1179C22⋊Q8—28no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—42no—
1190C22⋊Q8—42no—
1191C22⋊Q8—82no—
1192C22⋊Q8—82no—
1193C22⋊Q8—82no—
1194C22⋊Q8—82no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198#121—44no—
1199#121—44no—
1200#121—44no—
1201#121—44no—
1202#121—44no—
1203#121—42no—
1204#121—42no—
1205#121—42no—
1206#121—82no—
1207#121—82no—
1208#121—82no—
1209#121—82no—
1210#121—82no—
1211#121—82no—
1212#120—44no—
1213#120—82no—
1214#120—82no—
1215C4×Q8—24no—
1216C4×Q8—42no—
1217C4×Q8—44no—
1218C4×Q8—82no—
1219C4×Q8—82no—
1220C4×Q8—82no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—42no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—44no—
1227C4×D4—82no—
1228C4×D4—82no—
1229C4×D4—82no—
1230#117—44no—
1231#117—44no—
1232#117—44no—
1233#117—82no—
1234#117—82no—
1235C2×C4⋊C4—42no—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C22⋊C4—42no—
1321C2×C22⋊C4—44no—
1322C2×C22⋊C4—42no—
1323C2×C22⋊C4—42no—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C42—42no—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2411yescharacteristic
1420C2×C42C2411yescharacteristic
1421C2×C42C2411yescharacteristic
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541C24—22no—
1542C24—41no—
1543C24—41no—
1544C24—41no—
1545C24—41no—
1546C24—41no—
1547C24—41no—
1548C24C2512yes—
1549C24C2512yes—
1550C24C2512yes—
1551C24C2512yes—
1552C24C2511yescharacteristic
1553C2×Q8—24no—
1554C2×Q8—22no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—42no—
1558C2×Q8—41no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—41no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8H(5,𝔽2)14yes—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—22no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—41no—
1597C2×D4—42no—
1598C2×D4—41no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—41no—
1611C2×D4—41no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—41no—
1618C2×D4—41no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—41no—
1627C2×D4—41no—
1628C22×C4—22no—
1629C22×C4—22no—
1630C22×C4—22no—
1631C22×C4—24no—
1632C22×C4—22no—
1633C22×C4—24no—
1634C22×C4—41no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—41no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—41no—
1644C22×C4—41no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—41no—
1661C22×C4—41no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—41no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2511yescharacteristic
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2511yescharacteristic
1696C22×C4C2511yescharacteristic
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2511yescharacteristic
1706C22×C4C2511yescharacteristic
1707C22×C4C2512yes—
1708C22×C4C2511yescharacteristic
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—22no—
1712C4⋊C4—22no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—22no—
1723C4⋊C4—24no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—41no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
1734C4⋊C4—41no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—41no—
1761C4⋊C4—41no—
1762C4⋊C4—41no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—41no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—41no—
1789C4⋊C4—41no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C42—22no—
1885C42—22no—
1886C42—24no—
1887C42—24no—
1888C42—24no—
1889C42—41no—
1890C42—41no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C23—21no—
1910C23—21no—
1911C23—21no—
1912C23—21no—
1913C23—21no—
1914C23—21no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—44no—
1944C23—82no—
1945C23—82no—
1946C23—161no—
1947C23—161no—
1948C23—161no—
1949C23—161no—
1950C23#58512yes—
1951C23C2611yescharacteristic
1952Q8—44no—
1953Q8—84no—
1954Q8—82no—
1955Q8—84no—
1956Q8—84no—
1957Q8—161no—
1958Q8—162no—
1959D4—82no—
1960D4—84no—
1961D4—84no—
1962D4—84no—
1963D4—84no—
1964D4—84no—
1965D4—84no—
1966D4—84no—
1967D4—84no—
1968D4—162no—
1969D4—162no—
1970D4—162no—
1971D4—162no—
1972D4—162no—
1973D4—162no—
1974D4—162no—
1975D4—161no—
1976D4—161no—
1977C2×C4—21no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—22no—
1982C2×C4—21no—
1983C2×C4—22no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—21no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—21no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—21no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—44no—
2065C2×C4—82no—
2066C2×C4—84no—
2067C2×C4—82no—
2068C2×C4—84no—
2069C2×C4—82no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—161no—
2073C2×C4—162no—
2074C2×C4—162no—
2075C2×C4—162no—
2076C2×C4—162no—
2077C2×C4—161no—
2078C2×C4—162no—
2079C2×C4—162no—
2080C2×C4—162no—
2081C2×C4C2×H(5,𝔽2)12yes—
2082C2×C4C2×H(5,𝔽2)14yes—
2083C2×C4#58512yes—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—41no—
2088C22—41no—
2089C22—41no—
2090C22—41no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—164no—
2120C22C22×H(5,𝔽2)11yescharacteristic
2121C22C2×#58511yescharacteristic
2122C22C2×#58511yescharacteristic
2123C22H(7,𝔽2)11yescharacteristic
2124C22H(7,𝔽2)11yescharacteristic
2125C222−1+611yescharacteristic
2126C222−1+611yescharacteristic
2127C4—22no—
2128C4—24no—
2129C4—22no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—41no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—41no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—41no—
2154C4—41no—
2155C4—42no—
2156C4—42no—
2157C2—42no—
2158C2—82no—
2159C2—82no—
2160C2—82no—
2161C2—82no—
2162C2#6286611yescharacteristic
2163C2#6287011yescharacteristic
2164C2#6289911yescharacteristic
2165C2#6290711yescharacteristic
2166C2#6291911yescharacteristic
2167C2#6297811yescharacteristic
2168C2#6306911yescharacteristic
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. #57628C2semidirect
2. #57452C2semidirect
3. #57126C2semidirect
4. #56323C2semidirect
5. #55634C2semidirect
6. #55465C2semidirect
7. #54542C2semidirect
8. #54442C2semidirect
9. #54022C2semidirect
10. #53962C2semidirect
11. #53740C2semidirect
12. #53579C2semidirect
13. #53195C2semidirect
14. #52624C2semidirect
15. #52017C2semidirect
16. #51981C2semidirect
17. #51869C2semidirect
18. #51674C2semidirect
19. #51492C2semidirect
20. #47282C2semidirect
21. #46373C2semidirect
22. #46132C2semidirect
23. #44778C2semidirect
24. #43662C2semidirect
25. #43385C2semidirect
26. #42856C2semidirect
27. #42112C2semidirect
28. #41876C2semidirect
29. #41511C2semidirect
30. #41300C2semidirect
31. #39543C2semidirect
32. #39137C2semidirect
33. #37754C2semidirect
34. #37212C2semidirect
35. #36759C2semidirect
36. C2×#563C22semidirect
37. C2×#559C22semidirect
47. #2838C22semidirect
49. #2834C22semidirect
50. #2831C22semidirect
51. #2830C22semidirect
59. #2824C22semidirect
60. #2822C22semidirect
61. #2822C22semidirect
62. #2821C22semidirect
65. #2810C22semidirect
66. #2809C22semidirect
67. #2808C22semidirect
68. #2806C22semidirect
69. #2805C22semidirect
72. #2801C22semidirect
73. #2800C22semidirect
78. #2792C22semidirect
79. #2792C22semidirect
80. #2789C22semidirect
81. #2788C22semidirect
82. #2788C22semidirect
84. #2787C22semidirect
86. #2786C22semidirect
87. #2783C22semidirect
93. #2778C22semidirect
97. #2777C22semidirect
98. #2777C22semidirect
99. #2776C22semidirect
100. #2776C22semidirect
102. #2775C22semidirect
105. #2764C22semidirect
108. #2761C22semidirect
122. #2738C22semidirect
123. #2737C22semidirect
124. #2737C22semidirect
125. #2734C22semidirect
126. #2732C22semidirect
127. #2732C22semidirect
128. #2731C22semidirect
134. #2729C22semidirect
135. #2727C22semidirect
136. #2727C22semidirect
138. #2723C22semidirect
139. #2723C22semidirect
140. #2722C22semidirect
143. #2709C22semidirect
144. #2709C22semidirect
146. #2708C22semidirect
147. #2707C22semidirect
150. #2705C22semidirect
151. #2705C22semidirect
157. #2701C22semidirect
161. #2700C22semidirect
163. #2696C22semidirect
167. #2692C22semidirect
168. #2692C22semidirect
172. #2689C22semidirect
180. #2683C22semidirect
186. #2681C22semidirect
188. #2677C22semidirect
190. #2674C22semidirect
201. #2667C22semidirect
202. #2665C22semidirect
203. #2663C22semidirect
206. #2655C22semidirect
207. #2655C22semidirect
208. #2655C22semidirect
209. #2655C22semidirect
211. #2653C22semidirect
214. #2649C22semidirect
215. #2646C22semidirect
218. #2639C22semidirect
219. #2638C22semidirect
226. #2620C22semidirect
230. #2612C22semidirect
232. #2608C22semidirect
235. #2601C22semidirect
236. #2601C22semidirect
238. #2597C22semidirect
241. #2595C22semidirect
242. #2581C22semidirect
243. #2581C22semidirect
245. #2578C22semidirect
246. #2576C22semidirect
247. #2575C22semidirect
248. #2574C22semidirect
250. #2560C22semidirect
256. #2553C22semidirect
257. #2549C22semidirect
258. #2548C22semidirect
260. #2541C22semidirect
262. #2538C22semidirect
264. #2536C22semidirect
266. #2533C22semidirect
270. #2529C22semidirect
271. #2529C22semidirect
272. #2528C22semidirect
273. #2527C22semidirect
274. #2526C22semidirect
275. #2525C22semidirect
278. #2514C22semidirect
280. #2509C22semidirect
281. #2507C22semidirect
283. #2505C22semidirect
287. #2488C22semidirect
288. #2488C22semidirect
289. #2488C22semidirect
292. #2479C22semidirect
293. #2478C22semidirect
304. #2470C22semidirect
305. #2470C22semidirect
308. #2466C22semidirect
310. #2465C22semidirect
314. #2462C22semidirect
316. #2458C22semidirect
317. #2458C22semidirect
319. #2457C22semidirect
320. #2454C22semidirect
325. #2446C22semidirect
326. #2445C22semidirect
330. #2439C22semidirect
331. #2438C22semidirect
332. #2438C22semidirect
344. #2421C22semidirect
345. #2419C22semidirect
346. #2419C22semidirect
353. #2398C22semidirect
355. #2379C22semidirect
356. #2378C22semidirect
357. #2372C22semidirect
359. #2365C22semidirect
362. #2359C22semidirect
365. Q8×C4⋊C4C22semidirect
370. #2327C22semidirect
373. #2324C22semidirect

Maximal subgroups

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

subgroupindex
#576282
#574522
#571262
#563232
#556342
#554652
#545422
#544422
#540222
#539622
#537402
#535792
#531952
#526242
#520172
#519812
#518692
#516742
#514922
#472822
#463732
#461322
#447782
#436622
#433852
#428562
#421122
#418762
#415112
#413002
#395432
#391372
#377542
#372122
#367592