Finite Group Databasebeta

← #9065549

Subgroups — #9065549

Order 512.

4392 conjugacy classes of subgroups.

The subgroup lattice has 2082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58914C212yesmaximal, complemented
2#57250C212yesmaximal, complemented
3#55820C212yesmaximal, complemented
4#54217C212yesmaximal, complemented
5#53492C211yesmaximal, characteristic, complemented
6#51822C212yesmaximal, complemented
7#51366C212yesmaximal, complemented
8#51136C212yesmaximal, complemented
9#50959C212yesmaximal, complemented
10#50904C212yesmaximal, complemented
11#50533C212yesmaximal, complemented
12#49900C212yesmaximal, complemented
13#49143C212yesmaximal, complemented
14#48779C211yesmaximal, characteristic, complemented
15#48214C211yesmaximal, characteristic, complemented
16#45413C212yesmaximal, complemented
17#45139C212yesmaximal, complemented
18#44820C212yesmaximal, complemented
19#44813C211yesmaximal, characteristic
20#44660C212yesmaximal, complemented
21#44392C212yesmaximal, complemented
22#43497C211yesmaximal, characteristic, complemented
23#43438C212yesmaximal, complemented
24#43041C212yesmaximal, complemented
25#43025C212yesmaximal, complemented
26#42841C212yesmaximal, complemented
27#42010C212yesmaximal, complemented
28#41679C211yesmaximal, characteristic, complemented
29#41225C212yesmaximal, complemented
30#41199C212yesmaximal, complemented
31#35949C211yesmaximal, characteristic, complemented
32#35945C212yesmaximal, complemented
33#35915C212yesmaximal, complemented
34#35862C212yesmaximal, complemented
35#35790C212yesmaximal, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#554C2212yes—
38C2×#552C2211yescharacteristic
39C2×#543C2211yescharacteristic
40C2×#539C2211yescharacteristic, complemented
41#2839C2212yescomplemented
42#2838C2212yes—
43#2838C2212yescomplemented
44#2838C2212yescomplemented
45#2836C2212yes—
46#2835C2211yescharacteristic, complemented
47#2833C2212yescomplemented
48#2823C2211yescharacteristic, complemented
49#2817C2211yescharacteristic, complemented
50#2807C2212yes—
51#2807C2212yescomplemented
52#2805C2212yescomplemented
53#2802C2212yescomplemented
54#2800C2212yes—
55#2798C2212yes—
56#2797C2212yes—
57#2793C2212yes—
58#2792C2212yescomplemented
59#2792C2212yescomplemented
60#2792C2211yescharacteristic, complemented
61#2791C2212yescomplemented
62#2791C2212yescomplemented
63#2790C2212yes—
64#2790C2212yes—
65#2790C2212yes—
66#2790C2212yes—
67#2790C2212yes—
68#2789C2212yescomplemented
69#2787C2212yes—
70#2787C2212yescomplemented
71#2787C2212yescomplemented
72#2783C2212yes—
73#2782C2212yes—
74#2779C2212yes—
75#2776C2212yescomplemented
76#2775C2212yes—
77#2774C2212yescomplemented
78#2774C2212yescomplemented
79#2773C2212yes—
80#2773C2212yescomplemented
81#2772C2212yescomplemented
82#2772C2212yescomplemented
83#2766C2212yescomplemented
84#2765C2212yes—
85#2764C2211yescharacteristic
86#2764C2212yescomplemented
87#2755C2212yescomplemented
88#2754C2212yescomplemented
89#2750C2212yes—
90#2749C2212yes—
91#2746C2212yes—
92#2744C2212yes—
93#2743C2212yes—
94#2743C2212yes—
95#2739C2212yescomplemented
96#2738C2212yes—
97#2737C2212yes—
98#2732C2212yes—
99#2729C2212yes—
100#2729C2212yes—
101#2729C2212yescomplemented
102#2729C2212yescomplemented
103#2729C2212yescomplemented
104#2728C2212yes—
105#2726C2212yescomplemented
106#2724C2211yescharacteristic
107#2724C2212yescomplemented
108#2723C2212yes—
109#2723C2212yescomplemented
110#2721C2212yes—
111#2721C2212yescomplemented
112#2720C2212yes—
113#2720C2212yes—
114#2720C2212yes—
115#2720C2212yes—
116#2720C2212yescomplemented
117#2720C2212yescomplemented
118#2710C2212yes—
119#2708C2212yes—
120#2708C2212yes—
121#2704C2212yes—
122#2704C2212yes—
123#2704C2212yes—
124#2700C2212yes—
125#2700C2212yes—
126#2698C2212yes—
127#2697C2211yescharacteristic
128#2694C2212yescomplemented
129#2692C2212yes—
130#2692C2212yescomplemented
131#2691C2212yes—
132#2690C2212yes—
133#2690C2212yes—
134#2690C2212yescomplemented
135#2689C2212yes—
136#2689C2212yescomplemented
137#2689C2212yescomplemented
138#2687C2212yescomplemented
139#2685C2212yes—
140#2683C2212yes—
141#2683C2212yes—
142#2681C2212yes—
143#2681C2212yescomplemented
144#2680C2212yes—
145#2680C2212yescomplemented
146#2680C2212yescomplemented
147#2680C2211yescharacteristic, complemented
148#2670C2211yescharacteristic
149#2667C2212yes—
150#2666C2212yescomplemented
151#2666C2212yescomplemented
152#2664C2212yes—
153#2663C2212yes—
154#2663C2212yescomplemented
155#2654C2212yes—
156#2654C2212yes—
157#2654C2212yescomplemented
158#2654C2212yescomplemented
159#2652C2212yes—
160#2652C2212yescomplemented
161#2651C2212yes—
162#2649C2212yes—
163#2649C2212yescomplemented
164#2647C2212yescomplemented
165#2647C2212yescomplemented
166#2646C2212yescomplemented
167#2643C2212yes—
168#2642C2211yescharacteristic, complemented
169#2638C2211yescharacteristic
170#2633C2212yes—
171#2627C2212yes—
172#2625C2211yescharacteristic
173#2612C2212yescomplemented
174#2611C2212yescomplemented
175#2611C2212yescomplemented
176#2607C2211yescharacteristic, complemented
177#2606C2212yescomplemented
178#2606C2212yescomplemented
179#2605C2212yescomplemented
180#2604C2212yes—
181#2602C2212yes—
182#2602C2212yes—
183#2601C2212yes—
184#2600C2211yescharacteristic
185#2597C2212yes—
186#2597C2212yes—
187#2594C2212yes—
188#2594C2212yescomplemented
189#2590C2212yescomplemented
190#2590C2212yescomplemented
191#2590C2212yescomplemented
192#2589C2212yes—
193#2589C2212yes—
194#2588C2212yescomplemented
195#2588C2212yescomplemented
196#2587C2212yes—
197#2587C2212yes—
198#2584C2211yescharacteristic, complemented
199#2583C2212yes—
200#2582C2211yescharacteristic, complemented
201#2581C2212yescomplemented
202#2581C2212yescomplemented
203#2580C2212yes—
204#2578C2212yes—
205#2576C2212yes—
206#2575C2212yes—
207#2573C2212yes—
208#2573C2212yes—
209#2567C2212yescomplemented
210#2560C2212yes—
211#2558C2212yes—
212#2558C2212yes—
213#2558C2212yescomplemented
214#2556C2212yes—
215#2556C2212yes—
216#2554C2212yes—
217#2553C2212yescomplemented
218#2552C2212yescomplemented
219#2552C2212yescomplemented
220#2552C2212yescomplemented
221#2549C2212yes—
222#2549C2212yescomplemented
223#2543C2211yescharacteristic
224#2542C2211yescharacteristic
225#2538C2212yes—
226#2534C2211yescharacteristic
227#2533C2212yescomplemented
228#2533C2212yescomplemented
229#2533C2212yescomplemented
230#2532C2212yescomplemented
231#2531C2212yes—
232#2529C2212yes—
233#2527C2212yes—
234#2526C2212yes—
235#2526C2212yes—
236#2526C2212yes—
237#2523C2211yescharacteristic, complemented
238#2522C2212yescomplemented
239#2521C2212yes—
240#2520C2212yescomplemented
241#2520C2212yescomplemented
242#2517C2212yescomplemented
243#2516C2212yes—
244#2513C2212yes—
245#2507C2212yescomplemented
246#2506C2212yescomplemented
247#2506C2212yescomplemented
248#2506C2212yescomplemented
249#2501C2212yes—
250#2501C2211yescharacteristic, complemented
251#2497C2212yes—
252#2496C2212yescomplemented
253#2493C2212yes—
254#2484C2212yes—
255#2483C2211yescharacteristic
256#2482C2212yes—
257#2482C2211yescharacteristic
258#2482C2212yes—
259#2480C2212yes—
260#2479C2212yes—
261#2479C2212yes—
262#2479C2212yes—
263#2477C2212yes—
264#2477C2212yes—
265#2474C2212yes—
266#2473C2212yes—
267#2473C2212yes—
268#2473C2212yes—
269#2473C2212yescomplemented
270#2473C2212yescomplemented
271#2472C2212yes—
272#2471C2212yes—
273#2471C2212yes—
274#2469C2212yescomplemented
275#2469C2212yescomplemented
276#2469C2212yescomplemented
277#2468C2212yes—
278#2466C2212yes—
279#2466C2212yes—
280#2465C2212yes—
281#2464C2212yes—
282#2460C2212yescomplemented
283#2459C2212yes—
284#2457C2212yes—
285#2455C2212yes—
286#2454C2212yes—
287#2454C2212yes—
288#2453C2212yescomplemented
289#2453C2212yescomplemented
290#2453C2212yescomplemented
291#2452C2212yes—
292#2451C2212yescomplemented
293#2450C2212yes—
294#2450C2212yes—
295#2449C2212yes—
296#2449C2212yes—
297#2449C2212yes—
298#2449C2212yes—
299#2449C2212yes—
300#2449C2212yes—
301#2448C2212yes—
302#2443C2212yes—
303#2441C2212yes—
304#2440C2212yes—
305#2440C2212yescomplemented
306#2438C2212yes—
307#2437C2212yes—
308#2437C2212yes—
309#2429C2212yes—
310#2429C2212yes—
311#2429C2212yescomplemented
312#2426C2212yes—
313#2425C2212yes—
314#2424C2212yes—
315#2423C2212yes—
316#2423C2212yes—
317#2423C2212yescomplemented
318#2423C2212yescomplemented
319#2422C2212yes—
320#2421C2212yescomplemented
321#2418C2212yes—
322#2417C2212yes—
323#2417C2212yes—
324#2415C2212yes—
325#2413C2212yescomplemented
326#2413C2212yescomplemented
327#2401C2212yescomplemented
328#2399C2212yescomplemented
329#2398C2211yescharacteristic
330#2398C2212yes—
331#2396C2212yes—
332#2396C2212yes—
333#2396C2212yescomplemented
334#2392C2212yes—
335C2×#398C2211yescharacteristic, complemented
336C2×#396C2212yes—
337#2383C2212yes—
338#2378C2211yescharacteristic
339#2376C2211yescharacteristic
340#2376C2212yescomplemented
341#2373C2212yes—
342#2370C2212yescomplemented
343#2368C2212yescomplemented
344#2368C2211yescharacteristic, complemented
345#2367C2212yes—
346#2367C2212yes—
347#2362C2212yes—
348#2362C2212yes—
349#2362C2212yescomplemented
350#2361C2212yes—
351#2360C2212yes—
352#2360C2212yes—
353#2360C2212yescomplemented
354#2360C2212yescomplemented
355#2360C2212yescomplemented
356#2359C2212yescomplemented
357#2358C2212yes—
358#2358C2212yes—
359#2358C2211yescharacteristic
360#2353C2212yes—
361#2352C2212yes—
362#2352C2212yes—
363Q8×C4⋊C4C2212yescomplemented
364#2347C2212yescomplemented
365#2344C2212yes—
366#2342C2212yes—
367#2334C2212yes—
368#2332C2212yescomplemented
369#2331C2212yescomplemented
370#2326C2212yes—
371#2326C2212yes—
372#2323C2212yes—
373#2322C2211yescharacteristic
374#2322C2212yescomplemented
375#2321C2212yes—
376#2317C2212yes—
377#2276C2211yescharacteristic, complemented
378#2275C2212yes—
379#557—44no—
380#554—48no—
381#552—44no—
382#543—44no—
383#539—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2311yescharacteristic
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#123C2311yescharacteristic
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2311yescharacteristic
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
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×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#120C2312yes—
438C2×#120C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2311yescharacteristic
462C2×#117C2312yes—
463C2×#117C2312yes—
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C22⋊C4C2312yes—
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2312yes—
475#401C2312yes—
476#401C2312yes—
477#401C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
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#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
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#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2311yescharacteristic
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2311yescharacteristic
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#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2311yescharacteristic
590#397C2311yescharacteristic
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2311yescharacteristic
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2311yescharacteristic
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
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#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2311yescharacteristic
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2311yescharacteristic
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#393C2312yes—
685#393C2311yescharacteristic
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2311yescharacteristic
692#393C2311yescharacteristic
693#393C2312yes—
694#392C2311yescharacteristic
695#392C2312yes—
696#392C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2311yescharacteristic
727#390C2312yes—
728#390C2311yescharacteristic
729#390C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
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#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
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#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2311yescharacteristic
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
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#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2311yescharacteristic
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
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#384C2312yes—
1002#384C2312yes—
1003#384C2311yescharacteristic
1004#384C2312yes—
1005#384C2312yes—
1006#384C2312yes—
1007#384C2311yescharacteristic
1008#384C2312yes—
1009#384C2312yes—
1010#384C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#381C2311yescharacteristic
1022#381C2312yes—
1023#381C2312yes—
1024#381C2311yescharacteristic
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2311yescharacteristic
1029#381C2312yes—
1030#381C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#379C2312yes—
1046#379C2312yes—
1047#379C2311yescharacteristic
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2311yescharacteristic
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2311yescharacteristic
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—
1098#376C2312yes—
1099#376C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C4⋊Q8—28no—
1135C4⋊Q8—42no—
1136C4⋊Q8—82no—
1137#126—28no—
1138#126—44no—
1139#126—44no—
1140#126—82no—
1141#126—82no—
1142#125—44no—
1143#125—42no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#124—28no—
1152#124—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156#123—44no—
1157#123—42no—
1158#123—44no—
1159#123—44no—
1160#123—42no—
1161#123—82no—
1162C22⋊Q8—24no—
1163C22⋊Q8—28no—
1164C22⋊Q8—24no—
1165C22⋊Q8—28no—
1166C22⋊Q8—28no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—42no—
1182C22⋊Q8—82no—
1183C22⋊Q8—82no—
1184#121—42no—
1185#121—44no—
1186#121—82no—
1187#120—28no—
1188#120—42no—
1189C4×Q8—24no—
1190C4×Q8—42no—
1191C4×Q8—44no—
1192C4×Q8—44no—
1193C4×Q8—44no—
1194C4×Q8—44no—
1195C4×Q8—44no—
1196C4×Q8—82no—
1197C4×Q8—82no—
1198C4×D4—28no—
1199C4×D4—44no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—42no—
1203C4×D4—44no—
1204C4×D4—44no—
1205C4×D4—44no—
1206C4×D4—44no—
1207C4×D4—82no—
1208#117—44no—
1209#117—44no—
1210#117—44no—
1211#117—42no—
1212#117—82no—
1213#117—82no—
1214C2×C4⋊C4—44no—
1215C2×C4⋊C4—42no—
1216C2×C4⋊C4—42no—
1217C2×C4⋊C4—44no—
1218C2×C4⋊C4—44no—
1219C2×C4⋊C4—82no—
1220C2×C4⋊C4—82no—
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2411yescharacteristic
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C22⋊C4—44no—
1324C2×C22⋊C4—42no—
1325C2×C22⋊C4—44no—
1326C2×C22⋊C4—82no—
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2411yescharacteristic
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2411yescharacteristic
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2411yescharacteristic
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2411yescharacteristic
1436#95C2411yescharacteristic
1437#95C2411yescharacteristic
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2411yescharacteristic
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#95C2411yescharacteristic
1520#95C2411yescharacteristic
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—
1537C24—24no—
1538C24—41no—
1539C24—42no—
1540C24—41no—
1541C24—41no—
1542C24C2511yescharacteristic
1543C24C2512yes—
1544C24C2512yes—
1545C24C2511yescharacteristic
1546C2×Q8—24no—
1547C2×Q8—24no—
1548C2×Q8—24no—
1549C2×Q8—24no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—41no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8H(5,𝔽2)14yes—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—22no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—41no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—41no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—41no—
1583C2×D4—42no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—22no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—22no—
1591C22×C4—22no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—41no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—41no—
1617C22×C4—42no—
1618C22×C4—41no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—41no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—41no—
1629C22×C4C2511yescharacteristic
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2511yescharacteristic
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2511yescharacteristic
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2511yescharacteristic
1655C22×C4C2511yescharacteristic
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C4⋊C4—22no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—22no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—22no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—41no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—41no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—41no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
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—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—22no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—41no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—41no—
1807C22⋊C4—42no—
1808C22⋊C4—41no—
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—41no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—41no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C42−1+418yes—
1831C42—24no—
1832C42—22no—
1833C42—24no—
1834C42—24no—
1835C42—24no—
1836C42—24no—
1837C42—24no—
1838C42—24no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—41no—
1859C42—42no—
1860C42—42no—
1861C42—41no—
1862C23—22no—
1863C23—21no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—21no—
1872C23—21no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—21no—
1882C23—22no—
1883C23—21no—
1884C23—44no—
1885C23—84no—
1886C23—84no—
1887C23—161no—
1888C23—161no—
1889C23C2×2−1+414yes—
1890C23#58512yes—
1891C23C2611yescharacteristic
1892Q8—44no—
1893Q8—44no—
1894Q8—48no—
1895Q8—84no—
1896Q8—84no—
1897Q8—161no—
1898Q8—162no—
1899D4—48no—
1900D4—48no—
1901D4—84no—
1902D4—84no—
1903D4—84no—
1904D4—82no—
1905D4—161no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—21no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—21no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—48no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—82no—
1994C2×C4—82no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—82no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—161no—
2002C2×C4—162no—
2003C2×C4—162no—
2004C2×C4—161no—
2005C2×C4—162no—
2006C2×C4C2×H(5,𝔽2)12yes—
2007C2×C4C2×H(5,𝔽2)14yes—
2008C2×C4C2×2−1+414yes—
2009C2×C4C2×2−1+414yes—
2010C2×C4#58514yes—
2011C22—24no—
2012C22—24no—
2013C22—24no—
2014C22—22no—
2015C22—24no—
2016C22—41no—
2017C22—41no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—41no—
2025C22—42no—
2026C22—41no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—41no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—164no—
2036C22C22×H(5,𝔽2)11yescharacteristic
2037C22C22×2−1+412yes—
2038C22C2×#58512yes—
2039C22C2×#58511yescharacteristic
2040C22H(7,𝔽2)11yescharacteristic
2041C4—24no—
2042C4—24no—
2043C4—22no—
2044C4—24no—
2045C4—24no—
2046C4—42no—
2047C4—41no—
2048C4—42no—
2049C4—42no—
2050C4—41no—
2051C4—41no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—41no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C2—42no—
2073C2—44no—
2074C2—82no—
2075C2—81no—
2076C2#6282211yescharacteristic
2077C2#6283112yes—
2078C2#6289911yescharacteristic
2079C2#6294812yes—
2080C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#44813C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #58914C2semidirect
2. #57250C2semidirect
3. #55820C2semidirect
4. #54217C2semidirect
5. #53492C2semidirect
6. #51822C2semidirect
7. #51366C2semidirect
8. #51136C2semidirect
9. #50959C2semidirect
10. #50904C2semidirect
11. #50533C2semidirect
12. #49900C2semidirect
13. #49143C2semidirect
14. #48779C2semidirect
15. #48214C2semidirect
16. #45413C2semidirect
17. #45139C2semidirect
18. #44820C2semidirect
20. #44660C2semidirect
21. #44392C2semidirect
22. #43497C2semidirect
23. #43438C2semidirect
24. #43041C2semidirect
25. #43025C2semidirect
26. #42841C2semidirect
27. #42010C2semidirect
28. #41679C2semidirect
29. #41225C2semidirect
30. #41199C2semidirect
31. #35949C2semidirect
32. #35945C2semidirect
33. #35915C2semidirect
34. #35862C2semidirect
35. #35790C2semidirect
36. C2×#557C22semidirect
40. C2×#539C22semidirect
41. #2839C22semidirect
43. #2838C22semidirect
44. #2838C22semidirect
46. #2835C22semidirect
47. #2833C22semidirect
48. #2823C22semidirect
49. #2817C22semidirect
51. #2807C22semidirect
52. #2805C22semidirect
53. #2802C22semidirect
58. #2792C22semidirect
59. #2792C22semidirect
60. #2792C22semidirect
61. #2791C22semidirect
62. #2791C22semidirect
68. #2789C22semidirect
70. #2787C22semidirect
71. #2787C22semidirect
75. #2776C22semidirect
77. #2774C22semidirect
78. #2774C22semidirect
80. #2773C22semidirect
81. #2772C22semidirect
82. #2772C22semidirect
83. #2766C22semidirect
86. #2764C22semidirect
87. #2755C22semidirect
88. #2754C22semidirect
95. #2739C22semidirect
101. #2729C22semidirect
102. #2729C22semidirect
103. #2729C22semidirect
105. #2726C22semidirect
107. #2724C22semidirect
109. #2723C22semidirect
111. #2721C22semidirect
116. #2720C22semidirect
117. #2720C22semidirect
128. #2694C22semidirect
130. #2692C22semidirect
134. #2690C22semidirect
136. #2689C22semidirect
137. #2689C22semidirect
138. #2687C22semidirect
143. #2681C22semidirect
145. #2680C22semidirect
146. #2680C22semidirect
147. #2680C22semidirect
150. #2666C22semidirect
151. #2666C22semidirect
154. #2663C22semidirect
157. #2654C22semidirect
158. #2654C22semidirect
160. #2652C22semidirect
163. #2649C22semidirect
164. #2647C22semidirect
165. #2647C22semidirect
166. #2646C22semidirect
168. #2642C22semidirect
173. #2612C22semidirect
174. #2611C22semidirect
175. #2611C22semidirect
176. #2607C22semidirect
177. #2606C22semidirect
178. #2606C22semidirect
179. #2605C22semidirect
188. #2594C22semidirect
189. #2590C22semidirect
190. #2590C22semidirect
191. #2590C22semidirect
194. #2588C22semidirect
195. #2588C22semidirect
198. #2584C22semidirect
200. #2582C22semidirect
201. #2581C22semidirect
202. #2581C22semidirect
209. #2567C22semidirect
213. #2558C22semidirect
217. #2553C22semidirect
218. #2552C22semidirect
219. #2552C22semidirect
220. #2552C22semidirect
222. #2549C22semidirect
227. #2533C22semidirect
228. #2533C22semidirect
229. #2533C22semidirect
230. #2532C22semidirect
237. #2523C22semidirect
238. #2522C22semidirect
240. #2520C22semidirect
241. #2520C22semidirect
242. #2517C22semidirect
245. #2507C22semidirect
246. #2506C22semidirect
247. #2506C22semidirect
248. #2506C22semidirect
250. #2501C22semidirect
252. #2496C22semidirect
269. #2473C22semidirect
270. #2473C22semidirect
274. #2469C22semidirect
275. #2469C22semidirect
276. #2469C22semidirect
282. #2460C22semidirect
288. #2453C22semidirect
289. #2453C22semidirect
290. #2453C22semidirect
292. #2451C22semidirect
305. #2440C22semidirect
311. #2429C22semidirect
317. #2423C22semidirect
318. #2423C22semidirect
320. #2421C22semidirect
325. #2413C22semidirect
326. #2413C22semidirect
327. #2401C22semidirect
328. #2399C22semidirect
333. #2396C22semidirect
335. C2×#398C22semidirect
340. #2376C22semidirect
342. #2370C22semidirect
343. #2368C22semidirect
344. #2368C22semidirect
349. #2362C22semidirect
353. #2360C22semidirect
354. #2360C22semidirect
355. #2360C22semidirect
356. #2359C22semidirect
363. Q8×C4⋊C4C22semidirect
364. #2347C22semidirect
368. #2332C22semidirect
369. #2331C22semidirect
374. #2322C22semidirect
377. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#589142
#572502
#558202
#542172
#534922
#518222
#513662
#511362
#509592
#509042
#505332
#499002
#491432
#487792
#482142
#454132
#451392
#448202
#448132
#446602
#443922
#434972
#434382
#430412
#430252
#428412
#420102
#416792
#412252
#411992
#359492
#359452
#359152
#358622
#357902