Finite Group Databasebeta

← #9515864

Subgroups — #9515864

Order 512.

4339 conjugacy classes of subgroups.

The subgroup lattice has 2168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57732C212yesmaximal, complemented
2#57522C212yesmaximal, complemented
3#56479C212yesmaximal, complemented
4#56362C212yesmaximal, complemented
5#55600C212yesmaximal, complemented
6#55575C212yesmaximal, complemented
7#55508C212yesmaximal, complemented
8#55231C212yesmaximal, complemented
9#54618C212yesmaximal, complemented
10#53992C212yesmaximal, complemented
11#53842C212yesmaximal, complemented
12#53588C212yesmaximal, complemented
13#53216C211yesmaximal, characteristic, complemented
14#52526C212yesmaximal, complemented
15#51885C212yesmaximal, complemented
16#51669C212yesmaximal, complemented
17#51624C212yesmaximal, complemented
18#50837C212yesmaximal, complemented
19#47859C212yesmaximal, complemented
20#46962C212yesmaximal, complemented
21#46831C212yesmaximal, complemented
22#46133C211yesmaximal, characteristic, complemented
23#43799C212yesmaximal, complemented
24#43696C212yesmaximal, complemented
25#43506C212yesmaximal, complemented
26#42870C212yesmaximal, complemented
27#42139C212yesmaximal, complemented
28#41892C212yesmaximal, complemented
29#41872C212yesmaximal, complemented
30#41814C212yesmaximal, complemented
31#39551C211yesmaximal, characteristic, complemented
32#39136C211yesmaximal, characteristic, complemented
33#37754C211yesmaximal, characteristic, complemented
34#37165C211yesmaximal, characteristic, complemented
35#36766C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic, complemented
37C2×#556C2211yescharacteristic, complemented
38C2×#543C2211yescharacteristic
39C2×#539C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2841C2212yescomplemented
46#2838C2212yescomplemented
47#2837C2212yes—
48#2837C2212yes—
49#2837C2212yes—
50#2836C2212yes—
51#2831C2212yescomplemented
52#2830C2212yes—
53#2829C2212yes—
54#2829C2212yes—
55#2829C2212yes—
56#2829C2212yescomplemented
57#2827C2212yescomplemented
58#2825C2212yes—
59#2822C2211yescharacteristic, complemented
60#2820C2212yescomplemented
61#2820C2211yescharacteristic, complemented
62#2814C2212yes—
63#2813C2212yes—
64#2813C2212yes—
65#2809C2211yescharacteristic, complemented
66#2809C2211yescharacteristic, complemented
67#2805C2211yescharacteristic, complemented
68#2804C2211yescharacteristic, complemented
69#2803C2212yes—
70#2803C2212yescomplemented
71#2802C2212yescomplemented
72#2801C2212yes—
73#2801C2212yes—
74#2800C2212yes—
75#2799C2212yescomplemented
76#2795C2212yes—
77#2795C2212yes—
78#2793C2212yescomplemented
79#2791C2212yescomplemented
80#2791C2212yescomplemented
81#2786C2212yes—
82#2783C2212yes—
83#2783C2212yes—
84#2781C2212yes—
85#2780C2212yes—
86#2780C2212yes—
87#2780C2212yescomplemented
88#2779C2212yes—
89#2779C2212yescomplemented
90#2778C2212yes—
91#2777C2212yes—
92#2776C2212yescomplemented
93#2774C2212yescomplemented
94#2774C2212yescomplemented
95#2773C2212yes—
96#2773C2212yescomplemented
97#2773C2212yescomplemented
98#2768C2212yescomplemented
99#2765C2212yes—
100#2765C2212yescomplemented
101#2762C2212yescomplemented
102#2761C2212yes—
103#2759C2212yes—
104#2757C2212yes—
105#2756C2212yescomplemented
106#2750C2212yes—
107#2750C2212yes—
108#2747C2212yes—
109#2746C2212yes—
110#2746C2212yescomplemented
111#2744C2212yes—
112#2744C2212yes—
113#2744C2212yescomplemented
114#2741C2212yes—
115#2740C2212yescomplemented
116#2739C2212yes—
117#2737C2212yescomplemented
118#2732C2212yes—
119#2732C2211yescharacteristic, complemented
120#2732C2212yescomplemented
121#2730C2212yes—
122#2730C2212yes—
123#2730C2212yes—
124#2730C2212yescomplemented
125#2728C2212yes—
126#2728C2212yescomplemented
127#2727C2212yescomplemented
128#2727C2212yescomplemented
129#2726C2211yescharacteristic, complemented
130#2726C2211yescharacteristic, complemented
131#2725C2212yescomplemented
132#2724C2212yes—
133#2723C2212yes—
134#2723C2212yes—
135#2723C2212yescomplemented
136#2720C2212yes—
137#2719C2212yescomplemented
138#2719C2212yescomplemented
139#2718C2212yescomplemented
140#2715C2212yescomplemented
141#2713C2212yescomplemented
142#2711C2212yes—
143#2711C2212yes—
144#2710C2212yes—
145#2709C2212yes—
146#2709C2212yes—
147#2708C2212yes—
148#2706C2212yes—
149#2706C2212yes—
150#2706C2212yescomplemented
151#2705C2212yes—
152#2705C2212yes—
153#2705C2212yes—
154#2705C2212yescomplemented
155#2704C2212yes—
156#2704C2212yes—
157#2704C2212yes—
158#2703C2212yes—
159#2703C2212yes—
160#2703C2212yescomplemented
161#2702C2212yes—
162#2702C2212yes—
163#2702C2212yes—
164#2701C2212yes—
165#2699C2212yes—
166#2699C2212yes—
167#2698C2212yes—
168#2698C2212yescomplemented
169#2697C2212yes—
170#2696C2212yes—
171#2695C2212yes—
172#2695C2212yescomplemented
173#2695C2212yescomplemented
174#2694C2212yescomplemented
175#2693C2212yes—
176#2691C2212yes—
177#2691C2212yes—
178#2691C2212yes—
179#2690C2212yes—
180#2690C2212yes—
181#2688C2212yes—
182#2687C2212yes—
183#2687C2212yes—
184#2687C2212yescomplemented
185#2683C2212yescomplemented
186#2682C2211yescharacteristic, complemented
187#2681C2212yes—
188#2680C2212yes—
189#2680C2212yes—
190#2678C2212yes—
191#2678C2212yes—
192#2676C2212yescomplemented
193#2674C2212yes—
194#2673C2212yes—
195#2672C2212yes—
196#2672C2212yescomplemented
197#2671C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2669C2212yes—
201#2667C2212yescomplemented
202#2664C2212yescomplemented
203#2663C2212yescomplemented
204#2661C2212yes—
205#2659C2212yescomplemented
206#2655C2212yescomplemented
207#2655C2212yescomplemented
208#2655C2212yescomplemented
209#2654C2212yescomplemented
210#2654C2212yescomplemented
211#2653C2212yescomplemented
212#2653C2212yescomplemented
213#2649C2212yes—
214#2649C2212yescomplemented
215#2648C2212yes—
216#2648C2212yes—
217#2648C2212yes—
218#2648C2212yes—
219#2639C2211yescharacteristic
220#2638C2212yes—
221#2630C2212yes—
222#2629C2212yes—
223#2626C2211yescharacteristic
224#2620C2212yescomplemented
225#2619C2212yes—
226#2618C2211yescharacteristic
227#2617C2211yescharacteristic
228#2617C2211yescharacteristic
229#2617C2211yescharacteristic
230#2609C2212yes—
231#2606C2212yescomplemented
232#2605C2212yescomplemented
233#2602C2212yes—
234#2601C2212yes—
235#2594C2212yes—
236#2594C2212yes—
237#2594C2212yescomplemented
238#2591C2212yescomplemented
239#2587C2212yescomplemented
240#2578C2212yescomplemented
241#2577C2212yescomplemented
242#2577C2212yescomplemented
243#2574C2212yes—
244#2574C2212yescomplemented
245#2570C2212yescomplemented
246#2570C2212yescomplemented
247#2560C2212yescomplemented
248#2560C2212yescomplemented
249#2559C2212yescomplemented
250#2558C2212yes—
251#2558C2212yes—
252#2558C2212yes—
253#2558C2212yescomplemented
254#2557C2212yes—
255#2556C2212yes—
256#2556C2212yescomplemented
257#2555C2212yes—
258#2554C2212yes—
259#2553C2212yescomplemented
260#2543C2212yes—
261#2542C2211yescharacteristic, complemented
262#2540C2212yes—
263#2538C2212yes—
264#2538C2212yes—
265#2537C2211yescharacteristic, complemented
266#2536C2212yes—
267#2535C2212yes—
268#2534C2212yes—
269#2531C2212yescomplemented
270#2531C2212yescomplemented
271#2526C2212yes—
272#2525C2212yes—
273#2525C2212yescomplemented
274#2522C2212yescomplemented
275#2519C2212yescomplemented
276#2518C2212yes—
277#2518C2212yes—
278#2515C2212yescomplemented
279#2512C2212yes—
280#2510C2212yes—
281#2510C2212yes—
282#2508C2212yescomplemented
283#2505C2212yescomplemented
284#2498C2212yes—
285#2497C2212yes—
286#2496C2212yescomplemented
287#2494C2212yescomplemented
288#2494C2212yescomplemented
289#2493C2212yescomplemented
290#2490C2212yes—
291#2490C2212yescomplemented
292#2489C2212yescomplemented
293#2488C2212yes—
294#2488C2212yes—
295#2485C2212yes—
296#2481C2212yescomplemented
297#2480C2212yes—
298#2479C2212yes—
299#2477C2212yes—
300#2476C2212yes—
301#2476C2212yescomplemented
302#2475C2212yes—
303#2475C2212yescomplemented
304#2472C2212yes—
305#2471C2212yes—
306#2471C2212yes—
307#2470C2212yescomplemented
308#2469C2212yes—
309#2467C2212yes—
310#2467C2212yes—
311#2466C2212yescomplemented
312#2464C2212yescomplemented
313#2463C2212yes—
314#2463C2212yes—
315#2462C2212yescomplemented
316#2461C2212yes—
317#2461C2212yes—
318#2459C2212yescomplemented
319#2459C2212yescomplemented
320#2457C2212yes—
321#2457C2212yes—
322#2456C2212yes—
323#2454C2212yescomplemented
324#2453C2212yescomplemented
325#2449C2212yes—
326#2449C2212yes—
327#2449C2212yes—
328#2445C2212yes—
329#2444C2212yescomplemented
330#2444C2212yescomplemented
331#2441C2212yescomplemented
332#2441C2212yescomplemented
333#2438C2212yescomplemented
334#2428C2212yes—
335#2427C2212yes—
336#2426C2212yescomplemented
337#2425C2212yes—
338#2425C2212yes—
339#2424C2212yes—
340#2423C2212yescomplemented
341#2421C2212yes—
342#2418C2212yes—
343#2418C2212yes—
344#2417C2212yes—
345#2415C2212yes—
346#2415C2212yes—
347#2414C2212yes—
348#2413C2212yescomplemented
349#2412C2212yes—
350#2411C2212yes—
351#2411C2212yes—
352#2401C2212yes—
353#2395C2212yes—
354#2395C2212yescomplemented
355#2379C2211yescharacteristic, complemented
356#2378C2212yescomplemented
357#2374C2212yes—
358#2374C2212yes—
359#2368C2212yescomplemented
360#2367C2212yes—
361#2362C2212yescomplemented
362#2360C2212yescomplemented
363#2359C2212yes—
364#2358C2212yes—
365#2353C2212yes—
366Q8×C4⋊C4C2211yescharacteristic, complemented
367#2333C2212yes—
368#2333C2212yes—
369#2329C2211yescharacteristic
370#2329C2211yescharacteristic
371#2325C2211yescharacteristic
372#2325C2212yescomplemented
373#2323C2212yes—
374#2323C2212yescomplemented
375#2316C2211yescharacteristic
376#2312C2211yescharacteristic
377C4×#121C2211yescharacteristic
378C2×#388C2211yescharacteristic
379#562—44no—
380#556—44no—
381#543—44no—
382#539—48no—
383C2×C4⋊Q8C2311yescharacteristic
384C2×#127C2312yes—
385#529—44no—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2311yescharacteristic
394C2×#125C2311yescharacteristic
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#124C2311yescharacteristic
401C2×#124C2311yescharacteristic
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×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2311yescharacteristic
477C22×C22⋊C4C2311yescharacteristic
478C22×C42C2311yescharacteristic
479#401C2312yes—
480#401C2312yes—
481#401C2312yes—
482#401C2312yes—
483#400C2312yes—
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#399C2312yes—
514#399C2312yes—
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#399C2312yes—
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#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
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#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
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#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
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#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#392C2312yes—
712#392C2312yes—
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#391C2311yescharacteristic
735#391C2311yescharacteristic
736#391C2311yescharacteristic
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2311yescharacteristic
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2311yescharacteristic
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2311yescharacteristic
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#389C2311yescharacteristic
788#389C2312yes—
789#389C2311yescharacteristic
790#389C2311yescharacteristic
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#388C2312yes—
806#388C2312yes—
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#388C2312yes—
881#388C2312yes—
882#388C2312yes—
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#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
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#384C2312yes—
1017#384C2312yes—
1018#384C2311yescharacteristic
1019#384C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#382C2312yes—
1024#382C2311yescharacteristic
1025#382C2311yescharacteristic
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#380C2311yescharacteristic
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#379C2312yes—
1066#379C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊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—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098#376C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2411yescharacteristic
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C4⋊Q8—42no—
1145#127—82no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—82no—
1152#126—82no—
1153#125—42no—
1154#125—42no—
1155#125—44no—
1156#125—44no—
1157#125—82no—
1158#125—82no—
1159#125—82no—
1160#124—24no—
1161#124—44no—
1162#124—42no—
1163#124—44no—
1164#124—82no—
1165#123—44no—
1166#123—44no—
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—
1178#123—82no—
1179C22⋊Q8—24no—
1180C22⋊Q8—28no—
1181C22⋊Q8—28no—
1182C22⋊Q8—28no—
1183C22⋊Q8—42no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—42no—
1192C22⋊Q8—44no—
1193C22⋊Q8—82no—
1194C22⋊Q8—82no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197#121—44no—
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#120—44no—
1212#120—82no—
1213#120—82no—
1214C4×Q8—24no—
1215C4×Q8—44no—
1216C4×Q8—82no—
1217C4×D4—44no—
1218C4×D4—42no—
1219C4×D4—42no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—82no—
1224C4×D4—82no—
1225C4×D4—82no—
1226C4×D4—82no—
1227#117—44no—
1228#117—44no—
1229#117—82no—
1230#117—82no—
1231#117—82no—
1232C2×C4⋊C4—42no—
1233C2×C4⋊C4—44no—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2411yescharacteristic
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C22⋊C4—42no—
1325C2×C22⋊C4—44no—
1326C2×C22⋊C4—42no—
1327C2×C22⋊C4—42no—
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×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C42—42no—
1420C2×C42C2412yes—
1421C2×C42C2411yescharacteristic
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2411yescharacteristic
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×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2411yescharacteristic
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
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—41no—
1555C2×Q8—41no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—41no—
1559C2×Q8—42no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—42no—
1565C2×Q8—41no—
1566C2×Q8—41no—
1567C2×Q8H(5,𝔽2)14yes—
1568C2×D4—24no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—41no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—41no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—41no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C22×C4—22no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—22no—
1629C22×C4—24no—
1630C22×C4—41no—
1631C22×C4—41no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—41no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—41no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—41no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—41no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—42no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—41no—
1668C22×C4—41no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2511yescharacteristic
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2511yescharacteristic
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2511yescharacteristic
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—22no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—22no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—22no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—41no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—41no—
1730C4⋊C4—41no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—41no—
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—42no—
1762C4⋊C4—41no—
1763C4⋊C4—42no—
1764C4⋊C4—41no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
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—41no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—41no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—41no—
1792C4⋊C4—41no—
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—24no—
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—41no—
1888C42—41no—
1889C42—42no—
1890C42—42no—
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—161no—
1955Q8—162no—
1956Q8—161no—
1957D4—82no—
1958D4—82no—
1959D4—84no—
1960D4—84no—
1961D4—84no—
1962D4—84no—
1963D4—84no—
1964D4—84no—
1965D4—84no—
1966D4—84no—
1967D4—162no—
1968D4—162no—
1969D4—162no—
1970D4—162no—
1971D4—161no—
1972D4—162no—
1973D4—162no—
1974D4—162no—
1975C2×C4—21no—
1976C2×C4—22no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—22no—
1980C2×C4—21no—
1981C2×C4—22no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—21no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
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—21no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—21no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
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—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—21no—
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—21no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—44no—
2063C2×C4—84no—
2064C2×C4—82no—
2065C2×C4—84no—
2066C2×C4—84no—
2067C2×C4—82no—
2068C2×C4—84no—
2069C2×C4—82no—
2070C2×C4—84no—
2071C2×C4—161no—
2072C2×C4—162no—
2073C2×C4—162no—
2074C2×C4—162no—
2075C2×C4—161no—
2076C2×C4—162no—
2077C2×C4—162no—
2078C2×C4—162no—
2079C2×C4C2×H(5,𝔽2)12yes—
2080C2×C4C2×H(5,𝔽2)14yes—
2081C2×C4#58512yes—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—41no—
2086C22—41no—
2087C22—41no—
2088C22—41no—
2089C22—42no—
2090C22—42no—
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—164no—
2118C22C22×H(5,𝔽2)11yescharacteristic
2119C22C2×#58511yescharacteristic
2120C22C2×#58511yescharacteristic
2121C22H(7,𝔽2)11yescharacteristic
2122C22H(7,𝔽2)11yescharacteristic
2123C222−1+611yescharacteristic
2124C222−1+611yescharacteristic
2125C4—22no—
2126C4—24no—
2127C4—22no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—41no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—41no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—41no—
2147C4—41no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C2—42no—
2156C2—82no—
2157C2—82no—
2158C2—82no—
2159C2—82no—
2160C2#6286611yescharacteristic
2161C2#6287211yescharacteristic
2162C2#6289911yescharacteristic
2163C2#6290811yescharacteristic
2164C2#6291911yescharacteristic
2165C2#6297511yescharacteristic
2166C2#6306211yescharacteristic
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. #57732C2semidirect
2. #57522C2semidirect
3. #56479C2semidirect
4. #56362C2semidirect
5. #55600C2semidirect
6. #55575C2semidirect
7. #55508C2semidirect
8. #55231C2semidirect
9. #54618C2semidirect
10. #53992C2semidirect
11. #53842C2semidirect
12. #53588C2semidirect
13. #53216C2semidirect
14. #52526C2semidirect
15. #51885C2semidirect
16. #51669C2semidirect
17. #51624C2semidirect
18. #50837C2semidirect
19. #47859C2semidirect
20. #46962C2semidirect
21. #46831C2semidirect
22. #46133C2semidirect
23. #43799C2semidirect
24. #43696C2semidirect
25. #43506C2semidirect
26. #42870C2semidirect
27. #42139C2semidirect
28. #41892C2semidirect
29. #41872C2semidirect
30. #41814C2semidirect
31. #39551C2semidirect
32. #39136C2semidirect
33. #37754C2semidirect
34. #37165C2semidirect
35. #36766C2semidirect
36. C2×#562C22semidirect
37. C2×#556C22semidirect
45. #2841C22semidirect
46. #2838C22semidirect
51. #2831C22semidirect
56. #2829C22semidirect
57. #2827C22semidirect
59. #2822C22semidirect
60. #2820C22semidirect
61. #2820C22semidirect
65. #2809C22semidirect
66. #2809C22semidirect
67. #2805C22semidirect
68. #2804C22semidirect
70. #2803C22semidirect
71. #2802C22semidirect
75. #2799C22semidirect
78. #2793C22semidirect
79. #2791C22semidirect
80. #2791C22semidirect
87. #2780C22semidirect
89. #2779C22semidirect
92. #2776C22semidirect
93. #2774C22semidirect
94. #2774C22semidirect
96. #2773C22semidirect
97. #2773C22semidirect
98. #2768C22semidirect
100. #2765C22semidirect
101. #2762C22semidirect
105. #2756C22semidirect
110. #2746C22semidirect
113. #2744C22semidirect
115. #2740C22semidirect
117. #2737C22semidirect
119. #2732C22semidirect
120. #2732C22semidirect
124. #2730C22semidirect
126. #2728C22semidirect
127. #2727C22semidirect
128. #2727C22semidirect
129. #2726C22semidirect
130. #2726C22semidirect
131. #2725C22semidirect
135. #2723C22semidirect
137. #2719C22semidirect
138. #2719C22semidirect
139. #2718C22semidirect
140. #2715C22semidirect
141. #2713C22semidirect
150. #2706C22semidirect
154. #2705C22semidirect
160. #2703C22semidirect
168. #2698C22semidirect
172. #2695C22semidirect
173. #2695C22semidirect
174. #2694C22semidirect
184. #2687C22semidirect
185. #2683C22semidirect
186. #2682C22semidirect
192. #2676C22semidirect
196. #2672C22semidirect
201. #2667C22semidirect
202. #2664C22semidirect
203. #2663C22semidirect
205. #2659C22semidirect
206. #2655C22semidirect
207. #2655C22semidirect
208. #2655C22semidirect
209. #2654C22semidirect
210. #2654C22semidirect
211. #2653C22semidirect
212. #2653C22semidirect
214. #2649C22semidirect
224. #2620C22semidirect
231. #2606C22semidirect
232. #2605C22semidirect
237. #2594C22semidirect
238. #2591C22semidirect
239. #2587C22semidirect
240. #2578C22semidirect
241. #2577C22semidirect
242. #2577C22semidirect
244. #2574C22semidirect
245. #2570C22semidirect
246. #2570C22semidirect
247. #2560C22semidirect
248. #2560C22semidirect
249. #2559C22semidirect
253. #2558C22semidirect
256. #2556C22semidirect
259. #2553C22semidirect
261. #2542C22semidirect
265. #2537C22semidirect
269. #2531C22semidirect
270. #2531C22semidirect
273. #2525C22semidirect
274. #2522C22semidirect
275. #2519C22semidirect
278. #2515C22semidirect
282. #2508C22semidirect
283. #2505C22semidirect
286. #2496C22semidirect
287. #2494C22semidirect
288. #2494C22semidirect
289. #2493C22semidirect
291. #2490C22semidirect
292. #2489C22semidirect
296. #2481C22semidirect
301. #2476C22semidirect
303. #2475C22semidirect
307. #2470C22semidirect
311. #2466C22semidirect
312. #2464C22semidirect
315. #2462C22semidirect
318. #2459C22semidirect
319. #2459C22semidirect
323. #2454C22semidirect
324. #2453C22semidirect
329. #2444C22semidirect
330. #2444C22semidirect
331. #2441C22semidirect
332. #2441C22semidirect
333. #2438C22semidirect
336. #2426C22semidirect
340. #2423C22semidirect
348. #2413C22semidirect
354. #2395C22semidirect
355. #2379C22semidirect
356. #2378C22semidirect
359. #2368C22semidirect
361. #2362C22semidirect
362. #2360C22semidirect
366. Q8×C4⋊C4C22semidirect
372. #2325C22semidirect
374. #2323C22semidirect

Maximal subgroups

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

subgroupindex
#577322
#575222
#564792
#563622
#556002
#555752
#555082
#552312
#546182
#539922
#538422
#535882
#532162
#525262
#518852
#516692
#516242
#508372
#478592
#469622
#468312
#461332
#437992
#436962
#435062
#428702
#421392
#418922
#418722
#418142
#395512
#391362
#377542
#371652
#367662