Finite Group Databasebeta

← #9243658

Subgroups — #9243658

Order 512.

4155 conjugacy classes of subgroups.

The subgroup lattice has 2057 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59257C211yesmaximal, characteristic, complemented
2#58611C212yesmaximal, complemented
3#58361C212yesmaximal, complemented
4#57720C212yesmaximal, complemented
5#57223C212yesmaximal, complemented
6#56783C212yesmaximal, complemented
7#55654C212yesmaximal, complemented
8#55632C212yesmaximal, complemented
9#55569C212yesmaximal, complemented
10#55385C212yesmaximal, complemented
11#55326C212yesmaximal, complemented
12#54416C212yesmaximal, complemented
13#54106C212yesmaximal, complemented
14#52722C212yesmaximal, complemented
15#52020C212yesmaximal, complemented
16#51626C212yesmaximal, complemented
17#50773C212yesmaximal, complemented
18#50582C212yesmaximal, complemented
19#50426C212yesmaximal, complemented
20#48788C212yesmaximal, complemented
21#48120C212yesmaximal, complemented
22#47920C212yesmaximal, complemented
23#47144C212yesmaximal, complemented
24#46832C212yesmaximal
25#45795C211yesmaximal, characteristic, complemented
26#44042C212yesmaximal, complemented
27#42037C212yesmaximal, complemented
28#41383C212yesmaximal, complemented
29#41326C212yesmaximal, complemented
30#40615C212yesmaximal, complemented
31#39607C211yesmaximal, characteristic, complemented
32#39581C211yesmaximal, characteristic, complemented
33#39371C211yesmaximal, characteristic
34#37876C211yesmaximal, characteristic, complemented
35#37460C211yesmaximal, characteristic, complemented
36C2×#552C2212yescomplemented
37C2×#539C2212yes—
38C2×#539C2211yescharacteristic
39C2×#538C2211yescharacteristic
40#2857C2211yescharacteristic
41#2855C2211yescharacteristic
42#2845C2212yescomplemented
43#2843C2212yescomplemented
44#2841C2212yes—
45#2841C2212yes—
46#2839C2212yescomplemented
47#2839C2212yescomplemented
48#2839C2212yescomplemented
49#2839C2212yescomplemented
50#2836C2212yes—
51#2836C2212yes—
52#2836C2212yes—
53#2831C2212yes—
54#2831C2212yes—
55#2831C2212yes—
56#2831C2212yes—
57#2822C2212yescomplemented
58#2821C2212yes—
59#2817C2212yescomplemented
60#2814C2212yes—
61#2811C2211yescharacteristic, complemented
62#2810C2212yescomplemented
63#2809C2211yescharacteristic, complemented
64#2806C2211yescharacteristic, complemented
65#2806C2212yescomplemented
66#2806C2211yescharacteristic, complemented
67#2805C2212yescomplemented
68#2805C2211yescharacteristic, complemented
69#2805C2211yescharacteristic, complemented
70#2804C2211yescharacteristic, complemented
71#2802C2212yescomplemented
72#2802C2212yescomplemented
73#2802C2212yescomplemented
74#2802C2212yescomplemented
75#2802C2212yescomplemented
76#2802C2212yescomplemented
77#2798C2212yes—
78#2793C2212yes—
79#2792C2212yescomplemented
80#2792C2212yescomplemented
81#2791C2212yescomplemented
82#2791C2212yescomplemented
83#2791C2212yescomplemented
84#2790C2212yes—
85#2790C2212yes—
86#2790C2212yes—
87#2788C2212yes—
88#2787C2212yes—
89#2786C2212yes—
90#2783C2212yes—
91#2782C2212yes—
92#2777C2212yes—
93#2777C2212yes—
94#2775C2212yes—
95#2770C2212yes—
96#2770C2212yes—
97#2770C2212yescomplemented
98#2769C2212yescomplemented
99#2769C2212yescomplemented
100#2769C2212yescomplemented
101#2768C2212yes—
102#2768C2212yes—
103#2768C2212yes—
104#2766C2212yescomplemented
105#2766C2212yescomplemented
106#2765C2212yes—
107#2764C2212yes—
108#2764C2212yescomplemented
109#2763C2212yes—
110#2759C2212yes—
111#2758C2212yescomplemented
112#2758C2212yescomplemented
113#2757C2212yes—
114#2755C2212yescomplemented
115#2755C2212yescomplemented
116#2755C2212yescomplemented
117#2755C2212yescomplemented
118#2754C2212yes—
119#2751C2212yes—
120#2750C2212yes—
121#2750C2212yes—
122#2750C2212yes—
123#2747C2212yes—
124#2747C2212yes—
125#2745C2212yescomplemented
126#2745C2212yescomplemented
127#2744C2212yes—
128#2742C2212yes—
129#2739C2212yes—
130#2739C2212yes—
131#2739C2212yes—
132#2739C2212yescomplemented
133#2738C2212yes—
134#2738C2212yes—
135#2738C2212yes—
136#2737C2212yes—
137#2735C2212yes—
138#2735C2212yes—
139#2729C2212yes—
140#2726C2212yescomplemented
141#2726C2212yescomplemented
142#2725C2212yes—
143#2725C2212yes—
144#2725C2212yes—
145#2725C2212yes—
146#2724C2212yes—
147#2724C2212yescomplemented
148#2724C2211yescharacteristic, complemented
149#2722C2212yes—
150#2722C2212yescomplemented
151#2722C2212yescomplemented
152#2721C2212yes—
153#2721C2212yes—
154#2720C2212yes—
155#2720C2212yes—
156#2719C2212yescomplemented
157#2719C2212yescomplemented
158#2719C2212yescomplemented
159#2718C2212yes—
160#2718C2212yes—
161#2718C2212yes—
162#2718C2212yes—
163#2717C2212yes—
164#2715C2212yes—
165#2713C2212yescomplemented
166#2713C2212yescomplemented
167#2713C2212yescomplemented
168#2708C2212yes—
169#2707C2212yes—
170#2704C2212yes—
171#2704C2212yes—
172#2704C2212yes—
173#2701C2212yes—
174#2701C2212yes—
175#2700C2212yes—
176#2698C2212yes—
177#2698C2212yescomplemented
178#2698C2212yescomplemented
179#2698C2212yescomplemented
180#2697C2212yes—
181#2697C2212yes—
182#2695C2212yes—
183#2695C2212yes—
184#2690C2212yes—
185#2690C2212yescomplemented
186#2689C2212yes—
187#2689C2212yescomplemented
188#2689C2212yescomplemented
189#2689C2212yescomplemented
190#2687C2212yes—
191#2680C2212yes—
192#2674C2212yes—
193#2667C2212yes—
194#2666C2212yescomplemented
195#2666C2212yescomplemented
196#2666C2212yescomplemented
197#2666C2212yescomplemented
198#2666C2212yescomplemented
199#2664C2212yes—
200#2663C2212yes—
201#2659C2211yescharacteristic
202#2659C2211yescharacteristic
203#2654C2212yes—
204#2654C2212yes—
205#2654C2212yes—
206#2654C2212yes—
207#2652C2212yes—
208#2652C2212yescomplemented
209#2650C2212yes—
210#2646C2211yescharacteristic
211#2646C2212yescomplemented
212#2638C2212yes—
213#2638C2212yes—
214#2637C2212yes—
215#2637C2212yes—
216#2629C2212yes—
217#2627C2211yescharacteristic
218#2627C2212yescomplemented
219#2626C2211yescharacteristic
220#2626C2211yescharacteristic
221#2626C2211yescharacteristic
222#2626C2211yescharacteristic
223#2625C2212yescomplemented
224#2623C2212yes—
225#2608C2212yes—
226#2601C2212yes—
227#2599C2212yescomplemented
228#2599C2212yescomplemented
229#2590C2212yescomplemented
230#2590C2212yescomplemented
231#2589C2212yes—
232#2588C2212yescomplemented
233#2587C2212yes—
234#2587C2212yes—
235#2586C2212yescomplemented
236#2585C2212yescomplemented
237#2584C2212yescomplemented
238#2584C2212yescomplemented
239#2583C2212yescomplemented
240#2579C2212yes—
241#2579C2212yes—
242#2578C2212yes—
243#2577C2212yescomplemented
244#2575C2212yes—
245#2574C2212yes—
246#2573C2212yes—
247#2573C2212yescomplemented
248#2573C2212yescomplemented
249#2572C2212yes—
250#2571C2211yescharacteristic, complemented
251#2570C2212yescomplemented
252#2569C2212yescomplemented
253#2567C2211yescharacteristic, complemented
254#2561C2212yes—
255#2560C2212yes—
256#2556C2212yes—
257#2556C2212yes—
258#2556C2212yes—
259#2553C2212yes—
260#2552C2212yescomplemented
261#2552C2211yescharacteristic, complemented
262#2538C2211yescharacteristic, complemented
263#2534C2212yes—
264#2534C2212yes—
265#2525C2212yes—
266#2525C2212yes—
267#2524C2212yescomplemented
268#2524C2212yescomplemented
269#2523C2212yes—
270#2523C2212yescomplemented
271#2521C2212yes—
272#2519C2212yes—
273#2519C2212yes—
274#2519C2212yes—
275#2515C2212yes—
276#2511C2212yescomplemented
277#2509C2212yescomplemented
278#2507C2212yescomplemented
279#2506C2212yescomplemented
280#2506C2212yescomplemented
281#2505C2212yes—
282#2505C2212yescomplemented
283#2505C2212yescomplemented
284#2503C2212yescomplemented
285#2502C2212yescomplemented
286#2498C2212yes—
287#2497C2212yes—
288#2497C2212yes—
289#2497C2212yes—
290#2495C2212yes—
291#2495C2212yescomplemented
292#2488C2212yes—
293#2486C2212yes—
294#2485C2212yes—
295#2484C2212yescomplemented
296#2484C2212yescomplemented
297#2480C2212yes—
298#2480C2212yes—
299#2480C2212yes—
300#2478C2212yescomplemented
301#2478C2212yescomplemented
302#2478C2212yescomplemented
303#2478C2212yescomplemented
304#2477C2212yes—
305#2475C2212yescomplemented
306#2475C2212yescomplemented
307#2473C2212yes—
308#2473C2212yescomplemented
309#2470C2212yes—
310#2470C2212yes—
311#2470C2212yes—
312#2470C2212yes—
313#2469C2212yes—
314#2468C2212yes—
315#2468C2212yes—
316#2466C2212yes—
317#2465C2212yes—
318#2465C2212yes—
319#2462C2212yescomplemented
320#2460C2212yes—
321#2458C2212yes—
322#2453C2212yescomplemented
323#2453C2212yescomplemented
324#2453C2212yescomplemented
325#2450C2212yes—
326#2450C2212yes—
327#2449C2212yes—
328#2449C2212yes—
329#2447C2212yes—
330#2443C2212yes—
331#2442C2212yes—
332#2440C2212yescomplemented
333#2440C2212yescomplemented
334#2438C2212yes—
335#2438C2212yescomplemented
336#2438C2212yescomplemented
337#2438C2212yescomplemented
338#2437C2212yes—
339#2429C2212yes—
340#2425C2212yes—
341#2420C2212yes—
342#2419C2212yes—
343#2419C2212yes—
344#2419C2212yescomplemented
345#2418C2212yes—
346#2418C2212yes—
347#2415C2212yes—
348#2415C2212yes—
349#2413C2212yes—
350#2413C2212yes—
351#2413C2212yes—
352#2395C2212yes—
353C2×#398C2212yescomplemented
354#2383C2212yes—
355#2378C2212yes—
356#2376C2212yescomplemented
357#2369C2211yescharacteristic, complemented
358#2359C2212yes—
359#2359C2212yescomplemented
360#2357C2212yescomplemented
361#2355C2211yescharacteristic, complemented
362#2352C2212yes—
363Q8×C4⋊C4C2211yescharacteristic, complemented
364#2349C2212yes—
365D4×C4⋊C4C2211yescharacteristic, complemented
366#2342C2212yes—
367#2336C2212yescomplemented
368#2329C2211yescharacteristic
369#2324C2212yes—
370#2323C2212yes—
371#2318C2212yes—
372#2317C2212yescomplemented
373#2315C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#552—48no—
380#539—48no—
381#539—44no—
382#538—44no—
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#124C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#120C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2312yes—
455C22×C42C2311yescharacteristic
456#401C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
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#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#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#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
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#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2311yescharacteristic
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2311yescharacteristic
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2311yescharacteristic
717#391C2311yescharacteristic
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2311yescharacteristic
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2311yescharacteristic
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#389C2311yescharacteristic
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2311yescharacteristic
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#389C2311yescharacteristic
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2311yescharacteristic
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#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
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#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
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#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
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#384C2312yes—
998#384C2312yes—
999#384C2311yescharacteristic
1000#384C2312yes—
1001#384C2312yes—
1002#384C2311yescharacteristic
1003#384C2311yescharacteristic
1004#384C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#379C2312yes—
1063#379C2312yes—
1064#379C2312yes—
1065#379C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊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—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C25C2411yescharacteristic
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C23×C4C2411yescharacteristic
1115C23×C4C2411yescharacteristic
1116C23×C4C2411yescharacteristic
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C4⋊Q8—42no—
1130C4⋊Q8—82no—
1131#126—44no—
1132#126—44no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—82no—
1139#125—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—82no—
1147#125—82no—
1148#124—44no—
1149#123—28no—
1150#123—28no—
1151#123—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156#123—44no—
1157#123—82no—
1158C22⋊Q8—24no—
1159C22⋊Q8—24no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—42no—
1167C22⋊Q8—42no—
1168C22⋊Q8—42no—
1169C22⋊Q8—82no—
1170C22⋊Q8—82no—
1171C22⋊Q8—82no—
1172#121—28no—
1173#121—24no—
1174#120—44no—
1175C4×Q8—42no—
1176C4×Q8—42no—
1177C4×Q8—44no—
1178C4×Q8—82no—
1179C4×D4—28no—
1180C4×D4—28no—
1181C4×D4—42no—
1182C4×D4—44no—
1183C4×D4—44no—
1184C4×D4—44no—
1185C4×D4—82no—
1186#117—44no—
1187#117—44no—
1188#117—44no—
1189#117—44no—
1190#117—82no—
1191#117—82no—
1192C2×C4⋊C4—42no—
1193C2×C4⋊C4—44no—
1194C2×C4⋊C4—44no—
1195C2×C4⋊C4—82no—
1196C2×C4⋊C4—82no—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2411yescharacteristic
1207C2×C4⋊C4C2411yescharacteristic
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—24no—
1310C2×C22⋊C4—42no—
1311C2×C22⋊C4—42no—
1312C2×C22⋊C4—82no—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C42—42no—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2411yescharacteristic
1374C2×C42C2412yes—
1375C2×C42C2411yescharacteristic
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2411yescharacteristic
1396C2×C42C2412yes—
1397C2×C42C2411yescharacteristic
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518C24—22no—
1519C24—41no—
1520C24—41no—
1521C24—41no—
1522C24—41no—
1523C24—41no—
1524C24—41no—
1525C24C2512yes—
1526C24C2512yes—
1527C24C2511yescharacteristic
1528C2×Q8—22no—
1529C2×Q8—22no—
1530C2×Q8—41no—
1531C2×Q8—41no—
1532C2×Q8—42no—
1533C2×Q8—41no—
1534C2×Q8—41no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—41no—
1540C2×Q8—41no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8—41no—
1544C2×Q8—41no—
1545C2×Q8—42no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×D4—24no—
1550C2×D4—24no—
1551C2×D4—24no—
1552C2×D4—24no—
1553C2×D4—41no—
1554C2×D4—41no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4H(5,𝔽2)14yes—
1561C22×C4—24no—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—24no—
1565C22×C4—24no—
1566C22×C4—22no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—22no—
1570C22×C4—41no—
1571C22×C4—42no—
1572C22×C4—41no—
1573C22×C4—42no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—41no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—41no—
1598C22×C4—42no—
1599C22×C4—41no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—41no—
1604C22×C4—41no—
1605C22×C42−1+414yes—
1606C22×C4C2512yes—
1607C22×C4C2511yescharacteristic
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2511yescharacteristic
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C22×C4C2511yescharacteristic
1636C22×C4C2511yescharacteristic
1637C22×C4C2511yescharacteristic
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—22no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—22no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—41no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—41no—
1671C4⋊C4—41no—
1672C4⋊C4—41no—
1673C4⋊C4—41no—
1674C4⋊C4—42no—
1675C4⋊C4—41no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—41no—
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—41no—
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—41no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—41no—
1717C4⋊C4—41no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—41no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—41no—
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—42no—
1741C4⋊C4—42no—
1742C4⋊C4—41no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
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—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C42—24no—
1808C42—24no—
1809C42—22no—
1810C42—22no—
1811C42—24no—
1812C42—41no—
1813C42—41no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C23—21no—
1835C23—22no—
1836C23—22no—
1837C23—21no—
1838C23—21no—
1839C23—22no—
1840C23—22no—
1841C23—21no—
1842C23—21no—
1843C23—22no—
1844C23—22no—
1845C23—21no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—44no—
1854C23—82no—
1855C23—82no—
1856C23—161no—
1857C23—161no—
1858C23—161no—
1859C23—161no—
1860C23C2×H(5,𝔽2)14yes—
1861C23C2×2−1+412yes—
1862C23C2611yescharacteristic
1863Q8—44no—
1864Q8—82no—
1865Q8—84no—
1866Q8—162no—
1867Q8—161no—
1868Q8—161no—
1869Q8—161no—
1870D4—44no—
1871D4—48no—
1872D4—84no—
1873D4—84no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
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—22no—
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—21no—
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—21no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—21no—
1966C2×C4—44no—
1967C2×C4—48no—
1968C2×C4—82no—
1969C2×C4—82no—
1970C2×C4—84no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—84no—
1975C2×C4—82no—
1976C2×C4—84no—
1977C2×C4—162no—
1978C2×C4—162no—
1979C2×C4—161no—
1980C2×C4—161no—
1981C2×C4C2×H(5,𝔽2)12yes—
1982C2×C4C2×2−1+412yes—
1983C2×C4C2×2−1+412yes—
1984C2×C4#58512yes—
1985C22—24no—
1986C22—22no—
1987C22—24no—
1988C22—22no—
1989C22—22no—
1990C22—24no—
1991C22—42no—
1992C22—41no—
1993C22—41no—
1994C22—41no—
1995C22—42no—
1996C22—42no—
1997C22—41no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—164no—
2007C22C22×H(5,𝔽2)11yescharacteristic
2008C22C22×2−1+411yescharacteristic
2009C22C2×#58511yescharacteristic
2010C22H(7,𝔽2)11yescharacteristic
2011C222−1+611yescharacteristic
2012C222−1+611yescharacteristic
2013C222−1+611yescharacteristic
2014C4—22no—
2015C4—22no—
2016C4—22no—
2017C4—22no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—41no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—41no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C2—44no—
2047C2—42no—
2048C2—82no—
2049C2#6287311yescharacteristic
2050C2#6288911yescharacteristic
2051C2#6290111yescharacteristic
2052C2#6290211yescharacteristic
2053C2#6291511yescharacteristic
2054C2#6297811yescharacteristic
2055C2#6304911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#538C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59257C2semidirect
2. #58611C2semidirect
3. #58361C2semidirect
4. #57720C2semidirect
5. #57223C2semidirect
6. #56783C2semidirect
7. #55654C2semidirect
8. #55632C2semidirect
9. #55569C2semidirect
10. #55385C2semidirect
11. #55326C2semidirect
12. #54416C2semidirect
13. #54106C2semidirect
14. #52722C2semidirect
15. #52020C2semidirect
16. #51626C2semidirect
17. #50773C2semidirect
18. #50582C2semidirect
19. #50426C2semidirect
20. #48788C2semidirect
21. #48120C2semidirect
22. #47920C2semidirect
23. #47144C2semidirect
25. #45795C2semidirect
26. #44042C2semidirect
27. #42037C2semidirect
28. #41383C2semidirect
29. #41326C2semidirect
30. #40615C2semidirect
31. #39607C2semidirect
32. #39581C2semidirect
34. #37876C2semidirect
35. #37460C2semidirect
36. C2×#552C22semidirect
42. #2845C22semidirect
43. #2843C22semidirect
46. #2839C22semidirect
47. #2839C22semidirect
48. #2839C22semidirect
49. #2839C22semidirect
57. #2822C22semidirect
59. #2817C22semidirect
61. #2811C22semidirect
62. #2810C22semidirect
63. #2809C22semidirect
64. #2806C22semidirect
65. #2806C22semidirect
66. #2806C22semidirect
67. #2805C22semidirect
68. #2805C22semidirect
69. #2805C22semidirect
70. #2804C22semidirect
71. #2802C22semidirect
72. #2802C22semidirect
73. #2802C22semidirect
74. #2802C22semidirect
75. #2802C22semidirect
76. #2802C22semidirect
79. #2792C22semidirect
80. #2792C22semidirect
81. #2791C22semidirect
82. #2791C22semidirect
83. #2791C22semidirect
97. #2770C22semidirect
98. #2769C22semidirect
99. #2769C22semidirect
100. #2769C22semidirect
104. #2766C22semidirect
105. #2766C22semidirect
108. #2764C22semidirect
111. #2758C22semidirect
112. #2758C22semidirect
114. #2755C22semidirect
115. #2755C22semidirect
116. #2755C22semidirect
117. #2755C22semidirect
125. #2745C22semidirect
126. #2745C22semidirect
132. #2739C22semidirect
140. #2726C22semidirect
141. #2726C22semidirect
147. #2724C22semidirect
148. #2724C22semidirect
150. #2722C22semidirect
151. #2722C22semidirect
156. #2719C22semidirect
157. #2719C22semidirect
158. #2719C22semidirect
165. #2713C22semidirect
166. #2713C22semidirect
167. #2713C22semidirect
177. #2698C22semidirect
178. #2698C22semidirect
179. #2698C22semidirect
185. #2690C22semidirect
187. #2689C22semidirect
188. #2689C22semidirect
189. #2689C22semidirect
194. #2666C22semidirect
195. #2666C22semidirect
196. #2666C22semidirect
197. #2666C22semidirect
198. #2666C22semidirect
208. #2652C22semidirect
211. #2646C22semidirect
218. #2627C22semidirect
223. #2625C22semidirect
227. #2599C22semidirect
228. #2599C22semidirect
229. #2590C22semidirect
230. #2590C22semidirect
232. #2588C22semidirect
235. #2586C22semidirect
236. #2585C22semidirect
237. #2584C22semidirect
238. #2584C22semidirect
239. #2583C22semidirect
243. #2577C22semidirect
247. #2573C22semidirect
248. #2573C22semidirect
250. #2571C22semidirect
251. #2570C22semidirect
252. #2569C22semidirect
253. #2567C22semidirect
260. #2552C22semidirect
261. #2552C22semidirect
262. #2538C22semidirect
267. #2524C22semidirect
268. #2524C22semidirect
270. #2523C22semidirect
276. #2511C22semidirect
277. #2509C22semidirect
278. #2507C22semidirect
279. #2506C22semidirect
280. #2506C22semidirect
282. #2505C22semidirect
283. #2505C22semidirect
284. #2503C22semidirect
285. #2502C22semidirect
291. #2495C22semidirect
295. #2484C22semidirect
296. #2484C22semidirect
300. #2478C22semidirect
301. #2478C22semidirect
302. #2478C22semidirect
303. #2478C22semidirect
305. #2475C22semidirect
306. #2475C22semidirect
308. #2473C22semidirect
319. #2462C22semidirect
322. #2453C22semidirect
323. #2453C22semidirect
324. #2453C22semidirect
332. #2440C22semidirect
333. #2440C22semidirect
335. #2438C22semidirect
336. #2438C22semidirect
337. #2438C22semidirect
344. #2419C22semidirect
353. C2×#398C22semidirect
356. #2376C22semidirect
357. #2369C22semidirect
359. #2359C22semidirect
360. #2357C22semidirect
361. #2355C22semidirect
363. Q8×C4⋊C4C22semidirect
365. D4×C4⋊C4C22semidirect
367. #2336C22semidirect
372. #2317C22semidirect

Maximal subgroups

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

subgroupindex
#592572
#586112
#583612
#577202
#572232
#567832
#556542
#556322
#555692
#553852
#553262
#544162
#541062
#527222
#520202
#516262
#507732
#505822
#504262
#487882
#481202
#479202
#471442
#468322
#457952
#440422
#420372
#413832
#413262
#406152
#396072
#395812
#393712
#378762
#374602