Finite Group Databasebeta

← #9243809

Subgroups — #9243809

Order 512.

4137 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#59211C211yesmaximal, characteristic, complemented
2#58941C212yesmaximal, complemented
3#58626C212yesmaximal, complemented
4#58591C212yesmaximal, complemented
5#58570C212yesmaximal, complemented
6#58395C212yesmaximal, complemented
7#56846C212yesmaximal, complemented
8#56205C212yesmaximal, complemented
9#55720C212yesmaximal, complemented
10#54054C212yesmaximal, complemented
11#53854C212yesmaximal, complemented
12#53620C212yesmaximal, complemented
13#53602C212yesmaximal, complemented
14#52770C212yesmaximal, complemented
15#52015C212yesmaximal, complemented
16#51762C212yesmaximal
17#51479C212yesmaximal, complemented
18#49568C212yesmaximal, complemented
19#48885C212yesmaximal, complemented
20#48477C212yesmaximal, complemented
21#48108C212yesmaximal, complemented
22#47855C212yesmaximal, complemented
23#47799C212yesmaximal, complemented
24#47413C212yesmaximal, complemented
25#45792C211yesmaximal, characteristic, complemented
26#45342C212yesmaximal, complemented
27#42382C212yesmaximal, complemented
28#42008C212yesmaximal, complemented
29#41612C212yesmaximal, complemented
30#41254C212yesmaximal, complemented
31#39711C211yesmaximal, characteristic, complemented
32#39480C211yesmaximal, characteristic, complemented
33#39364C211yesmaximal, characteristic, complemented
34#37885C211yesmaximal, characteristic, complemented
35#37462C211yesmaximal, characteristic
36C2×#563C2212yes—
37C2×#544C2211yescharacteristic
38C2×#544C2212yescomplemented
39C2×#543C2211yescharacteristic
40#2857C2211yescharacteristic
41#2855C2211yescharacteristic
42#2843C2212yescomplemented
43#2841C2212yes—
44#2838C2212yes—
45#2838C2212yes—
46#2838C2212yes—
47#2838C2212yes—
48#2838C2212yescomplemented
49#2838C2212yescomplemented
50#2836C2212yes—
51#2836C2212yes—
52#2834C2212yescomplemented
53#2833C2212yescomplemented
54#2831C2212yescomplemented
55#2831C2212yescomplemented
56#2831C2212yescomplemented
57#2830C2212yes—
58#2829C2212yes—
59#2827C2212yes—
60#2822C2212yescomplemented
61#2811C2211yescharacteristic, complemented
62#2809C2211yescharacteristic, complemented
63#2806C2212yescomplemented
64#2806C2211yescharacteristic, complemented
65#2805C2211yescharacteristic, complemented
66#2804C2211yescharacteristic, complemented
67#2802C2212yescomplemented
68#2799C2212yescomplemented
69#2798C2212yescomplemented
70#2797C2212yes—
71#2796C2212yes—
72#2796C2212yescomplemented
73#2795C2212yes—
74#2793C2212yes—
75#2793C2212yes—
76#2790C2212yescomplemented
77#2789C2212yescomplemented
78#2788C2212yes—
79#2788C2212yes—
80#2788C2212yes—
81#2785C2212yes—
82#2783C2212yes—
83#2783C2212yes—
84#2782C2212yes—
85#2782C2212yes—
86#2779C2212yes—
87#2779C2212yes—
88#2777C2212yes—
89#2777C2212yescomplemented
90#2776C2212yescomplemented
91#2776C2212yescomplemented
92#2776C2212yescomplemented
93#2775C2212yescomplemented
94#2775C2212yescomplemented
95#2773C2212yes—
96#2773C2212yes—
97#2773C2212yes—
98#2773C2212yescomplemented
99#2772C2212yes—
100#2772C2212yes—
101#2770C2212yes—
102#2767C2212yescomplemented
103#2767C2212yescomplemented
104#2767C2212yescomplemented
105#2765C2212yes—
106#2764C2212yes—
107#2764C2212yes—
108#2763C2212yescomplemented
109#2763C2212yescomplemented
110#2762C2212yescomplemented
111#2762C2212yescomplemented
112#2762C2212yescomplemented
113#2762C2212yescomplemented
114#2761C2212yes—
115#2761C2212yes—
116#2759C2212yes—
117#2759C2212yes—
118#2759C2212yescomplemented
119#2758C2212yescomplemented
120#2757C2212yes—
121#2757C2212yes—
122#2755C2212yescomplemented
123#2755C2212yescomplemented
124#2754C2212yes—
125#2754C2212yes—
126#2754C2212yes—
127#2751C2212yes—
128#2751C2212yescomplemented
129#2748C2212yes—
130#2746C2212yes—
131#2741C2212yes—
132#2738C2212yes—
133#2735C2212yes—
134#2735C2212yes—
135#2734C2212yescomplemented
136#2734C2212yescomplemented
137#2734C2211yescharacteristic, complemented
138#2734C2211yescharacteristic, complemented
139#2734C2212yescomplemented
140#2732C2211yescharacteristic, complemented
141#2730C2212yes—
142#2729C2212yes—
143#2729C2212yes—
144#2729C2212yes—
145#2729C2212yescomplemented
146#2728C2212yes—
147#2728C2212yes—
148#2726C2212yescomplemented
149#2725C2212yes—
150#2725C2212yescomplemented
151#2723C2212yes—
152#2721C2212yes—
153#2720C2212yes—
154#2719C2212yescomplemented
155#2719C2212yescomplemented
156#2719C2212yescomplemented
157#2716C2212yes—
158#2713C2212yescomplemented
159#2713C2212yescomplemented
160#2713C2212yescomplemented
161#2713C2212yescomplemented
162#2707C2212yes—
163#2704C2212yes—
164#2704C2212yes—
165#2704C2212yescomplemented
166#2702C2212yes—
167#2700C2212yes—
168#2700C2212yes—
169#2698C2212yes—
170#2698C2212yescomplemented
171#2697C2212yes—
172#2692C2212yes—
173#2692C2212yes—
174#2690C2212yes—
175#2690C2212yes—
176#2690C2212yescomplemented
177#2690C2212yescomplemented
178#2689C2212yes—
179#2689C2212yescomplemented
180#2687C2212yes—
181#2684C2212yes—
182#2683C2212yes—
183#2680C2212yes—
184#2677C2212yes—
185#2677C2212yes—
186#2677C2212yes—
187#2677C2212yes—
188#2677C2212yescomplemented
189#2677C2212yescomplemented
190#2674C2212yes—
191#2674C2212yes—
192#2674C2212yes—
193#2667C2212yes—
194#2666C2212yescomplemented
195#2666C2212yescomplemented
196#2666C2212yescomplemented
197#2666C2212yescomplemented
198#2666C2212yescomplemented
199#2665C2212yes—
200#2665C2212yes—
201#2664C2212yes—
202#2664C2212yescomplemented
203#2663C2212yes—
204#2663C2212yes—
205#2663C2212yes—
206#2659C2211yescharacteristic
207#2653C2212yes—
208#2653C2212yes—
209#2651C2212yes—
210#2650C2212yes—
211#2650C2212yes—
212#2650C2212yes—
213#2646C2211yescharacteristic
214#2639C2211yescharacteristic
215#2632C2212yes—
216#2632C2212yes—
217#2627C2211yescharacteristic
218#2626C2211yescharacteristic
219#2626C2211yescharacteristic
220#2626C2211yescharacteristic
221#2625C2212yes—
222#2621C2212yes—
223#2621C2212yescomplemented
224#2617C2211yescharacteristic
225#2611C2212yes—
226#2611C2212yescomplemented
227#2609C2212yes—
228#2605C2212yescomplemented
229#2601C2212yes—
230#2601C2212yescomplemented
231#2599C2212yes—
232#2599C2212yescomplemented
233#2595C2212yes—
234#2595C2212yes—
235#2595C2212yes—
236#2590C2212yescomplemented
237#2590C2212yescomplemented
238#2589C2212yes—
239#2589C2212yescomplemented
240#2589C2212yescomplemented
241#2588C2212yescomplemented
242#2588C2212yescomplemented
243#2586C2212yescomplemented
244#2586C2212yescomplemented
245#2585C2212yescomplemented
246#2585C2212yescomplemented
247#2583C2212yescomplemented
248#2581C2212yescomplemented
249#2576C2212yes—
250#2574C2212yes—
251#2573C2212yes—
252#2571C2211yescharacteristic, complemented
253#2571C2211yescharacteristic, complemented
254#2570C2212yescomplemented
255#2570C2212yescomplemented
256#2570C2212yescomplemented
257#2567C2211yescharacteristic, complemented
258#2561C2212yes—
259#2560C2212yes—
260#2560C2212yes—
261#2560C2212yescomplemented
262#2557C2212yes—
263#2556C2212yes—
264#2556C2212yes—
265#2556C2212yes—
266#2556C2212yes—
267#2556C2212yes—
268#2551C2212yescomplemented
269#2550C2212yescomplemented
270#2549C2212yes—
271#2546C2212yescomplemented
272#2545C2212yes—
273#2538C2211yescharacteristic, complemented
274#2536C2212yes—
275#2532C2212yes—
276#2532C2212yes—
277#2532C2212yescomplemented
278#2532C2212yescomplemented
279#2529C2212yes—
280#2529C2212yescomplemented
281#2525C2212yes—
282#2525C2212yes—
283#2525C2212yes—
284#2525C2212yescomplemented
285#2525C2212yescomplemented
286#2523C2212yescomplemented
287#2522C2212yes—
288#2520C2212yescomplemented
289#2519C2212yes—
290#2519C2212yes—
291#2517C2212yes—
292#2515C2212yes—
293#2514C2212yescomplemented
294#2514C2212yescomplemented
295#2513C2212yescomplemented
296#2511C2212yescomplemented
297#2510C2212yes—
298#2508C2212yescomplemented
299#2506C2212yescomplemented
300#2506C2212yescomplemented
301#2500C2212yes—
302#2499C2212yes—
303#2495C2212yes—
304#2495C2212yescomplemented
305#2494C2212yes—
306#2492C2212yes—
307#2492C2212yes—
308#2489C2212yes—
309#2485C2212yes—
310#2482C2212yes—
311#2481C2212yes—
312#2480C2212yes—
313#2480C2212yes—
314#2478C2212yescomplemented
315#2478C2212yescomplemented
316#2477C2212yes—
317#2477C2212yes—
318#2475C2212yes—
319#2475C2212yescomplemented
320#2475C2212yescomplemented
321#2474C2212yes—
322#2474C2212yes—
323#2474C2212yes—
324#2473C2212yes—
325#2473C2212yescomplemented
326#2472C2212yes—
327#2472C2212yes—
328#2471C2212yes—
329#2470C2212yes—
330#2465C2212yes—
331#2465C2212yes—
332#2461C2212yes—
333#2452C2212yes—
334#2451C2212yescomplemented
335#2451C2212yescomplemented
336#2449C2212yes—
337#2449C2212yes—
338#2449C2212yescomplemented
339#2448C2212yes—
340#2446C2212yescomplemented
341#2438C2212yes—
342#2437C2212yes—
343#2429C2212yes—
344#2429C2212yes—
345#2429C2212yes—
346#2429C2212yes—
347#2429C2212yescomplemented
348#2429C2212yescomplemented
349#2418C2212yes—
350#2413C2212yes—
351#2411C2212yes—
352#2401C2212yes—
353#2399C2212yescomplemented
354#2379C2212yes—
355#2377C2212yes—
356#2369C2211yescharacteristic, complemented
357#2365C2212yescomplemented
358#2362C2212yes—
359#2362C2212yes—
360#2362C2212yescomplemented
361#2355C2211yescharacteristic, complemented
362#2354C2211yescharacteristic, complemented
363Q8×C4⋊C4C2211yescharacteristic, complemented
364#2347C2212yes—
365#2343C2212yes—
366#2342C2212yes—
367#2332C2212yes—
368#2332C2212yescomplemented
369#2329C2211yescharacteristic
370#2327C2212yescomplemented
371#2320C2212yescomplemented
372#2314C2212yes—
373#2312C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#563—48no—
380#544—44no—
381#544—48no—
382#543—44no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×#121C2311yescharacteristic
434C2×#120C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C42C2311yescharacteristic
456#401C2312yes—
457#401C2312yes—
458#401C2312yes—
459#401C2312yes—
460#401C2312yes—
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#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#398C2312yes—
520#398C2312yes—
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#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#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
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#396C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
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#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
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#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#392C2312yes—
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#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2311yescharacteristic
726#391C2312yes—
727#391C2311yescharacteristic
728#391C2312yes—
729#391C2311yescharacteristic
730#391C2311yescharacteristic
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2312yes—
738#391C2311yescharacteristic
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2311yescharacteristic
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2311yescharacteristic
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#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2311yescharacteristic
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2311yescharacteristic
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2311yescharacteristic
799#389C2312yes—
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#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#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#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
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#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#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#384C2312yes—
1010#384C2311yescharacteristic
1011#384C2312yes—
1012#384C2311yescharacteristic
1013#384C2311yescharacteristic
1014#383C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#379C2312yes—
1057#379C2312yes—
1058#379C2312yes—
1059#379C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊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—
1099#376C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C25C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C4⋊Q8—28no—
1130C4⋊Q8—28no—
1131C4⋊Q8—42no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136C4⋊Q8—82no—
1137C4⋊Q8—82no—
1138C4⋊Q8—82no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#124—44no—
1152#124—44no—
1153#124—82no—
1154#123—44no—
1155#123—44no—
1156#123—82no—
1157C22⋊Q8—24no—
1158C22⋊Q8—28no—
1159C22⋊Q8—28no—
1160C22⋊Q8—24no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—42no—
1170C22⋊Q8—42no—
1171C22⋊Q8—44no—
1172C22⋊Q8—42no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—82no—
1177C22⋊Q8—82no—
1178C22⋊Q8—82no—
1179#121—24no—
1180#120—82no—
1181C4×Q8—42no—
1182C4×Q8—42no—
1183C4×Q8—44no—
1184C4×Q8—82no—
1185C4×Q8—82no—
1186C4×Q8—82no—
1187C4×D4—42no—
1188C4×D4—82no—
1189#117—28no—
1190#117—44no—
1191#117—44no—
1192#117—44no—
1193#117—82no—
1194#117—82no—
1195C2×C4⋊C4—42no—
1196C2×C4⋊C4—44no—
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⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2411yescharacteristic
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2411yescharacteristic
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
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×C22⋊C4—24no—
1302C2×C22⋊C4—42no—
1303C2×C22⋊C4—44no—
1304C2×C22⋊C4—42no—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
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×C42—42no—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2411yescharacteristic
1372C2×C42C2412yes—
1373C2×C42C2411yescharacteristic
1374C2×C42C2412yes—
1375C2×C42C2412yes—
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×C42C2411yescharacteristic
1394C2×C42C2412yes—
1395C2×C42C2412yes—
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—24no—
1529C2×Q8—24no—
1530C2×Q8—22no—
1531C2×Q8—41no—
1532C2×Q8—41no—
1533C2×Q8—41no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×Q8—42no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—42no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×Q8H(5,𝔽2)14yes—
1561C2×D4—24no—
1562C2×D4—22no—
1563C2×D4—41no—
1564C2×D4—42no—
1565C2×D4—41no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—22no—
1578C22×C4—41no—
1579C22×C4—42no—
1580C22×C4—41no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—42no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—42no—
1591C22×C4—41no—
1592C22×C4—41no—
1593C22×C4—41no—
1594C22×C4—42no—
1595C22×C4—41no—
1596C22×C4—42no—
1597C22×C4—41no—
1598C22×C4—42no—
1599C22×C4—41no—
1600C22×C4—42no—
1601C22×C4—41no—
1602C22×C4—42no—
1603C22×C4—42no—
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×C4C2512yes—
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×C4C2511yescharacteristic
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—24no—
1644C4⋊C4—24no—
1645C4⋊C4—22no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—22no—
1657C4⋊C4—22no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—41no—
1666C4⋊C4—41no—
1667C4⋊C4—41no—
1668C4⋊C4—41no—
1669C4⋊C4—42no—
1670C4⋊C4—41no—
1671C4⋊C4—42no—
1672C4⋊C4—41no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—41no—
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—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—41no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
1703C4⋊C4—42no—
1704C4⋊C4—41no—
1705C4⋊C4—41no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—41no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—41no—
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—42no—
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—42no—
1741C4⋊C4—42no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
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—
1803C42—24no—
1804C42—24no—
1805C42—24no—
1806C42—24no—
1807C42—22no—
1808C42—22no—
1809C42—24no—
1810C42—41no—
1811C42—41no—
1812C42—42no—
1813C42—42no—
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—21no—
1836C23—21no—
1837C23—21no—
1838C23—21no—
1839C23—21no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—44no—
1855C23—82no—
1856C23—82no—
1857C23—161no—
1858C23—161no—
1859C23—161no—
1860C23—161no—
1861C23C2×2−1+412yes—
1862C23C2611yescharacteristic
1863Q8—44no—
1864Q8—82no—
1865Q8—84no—
1866Q8—84no—
1867Q8—84no—
1868Q8—162no—
1869Q8—161no—
1870Q8—161no—
1871Q8—162no—
1872Q8—161no—
1873Q8—162no—
1874D4—82no—
1875D4—84no—
1876D4—162no—
1877D4—162no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—21no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—21no—
1914C2×C4—22no—
1915C2×C4—21no—
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—21no—
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—21no—
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—21no—
1968C2×C4—22no—
1969C2×C4—44no—
1970C2×C4—44no—
1971C2×C4—48no—
1972C2×C4—82no—
1973C2×C4—82no—
1974C2×C4—84no—
1975C2×C4—84no—
1976C2×C4—161no—
1977C2×C4—162no—
1978C2×C4—161no—
1979C2×C4—162no—
1980C2×C4C2×H(5,𝔽2)14yes—
1981C2×C4C2×H(5,𝔽2)12yes—
1982C2×C4C2×2−1+412yes—
1983C2×C4C2×2−1+412yes—
1984C2×C4#58512yes—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—41no—
1989C22—41no—
1990C22—41no—
1991C22—41no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
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—24no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—41no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—41no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C2—42no—
2047C2—82no—
2048C2—82no—
2049C2#6287311yescharacteristic
2050C2#6287911yescharacteristic
2051C2#6290411yescharacteristic
2052C2#6290511yescharacteristic
2053C2#6291311yescharacteristic
2054C2#6297811yescharacteristic
2055C2#6304811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2617C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59211C2semidirect
2. #58941C2semidirect
3. #58626C2semidirect
4. #58591C2semidirect
5. #58570C2semidirect
6. #58395C2semidirect
7. #56846C2semidirect
8. #56205C2semidirect
9. #55720C2semidirect
10. #54054C2semidirect
11. #53854C2semidirect
12. #53620C2semidirect
13. #53602C2semidirect
14. #52770C2semidirect
15. #52015C2semidirect
17. #51479C2semidirect
18. #49568C2semidirect
19. #48885C2semidirect
20. #48477C2semidirect
21. #48108C2semidirect
22. #47855C2semidirect
23. #47799C2semidirect
24. #47413C2semidirect
25. #45792C2semidirect
26. #45342C2semidirect
27. #42382C2semidirect
28. #42008C2semidirect
29. #41612C2semidirect
30. #41254C2semidirect
31. #39711C2semidirect
32. #39480C2semidirect
33. #39364C2semidirect
34. #37885C2semidirect
38. C2×#544C22semidirect
42. #2843C22semidirect
48. #2838C22semidirect
49. #2838C22semidirect
52. #2834C22semidirect
53. #2833C22semidirect
54. #2831C22semidirect
55. #2831C22semidirect
56. #2831C22semidirect
60. #2822C22semidirect
61. #2811C22semidirect
62. #2809C22semidirect
63. #2806C22semidirect
64. #2806C22semidirect
65. #2805C22semidirect
66. #2804C22semidirect
67. #2802C22semidirect
68. #2799C22semidirect
69. #2798C22semidirect
72. #2796C22semidirect
76. #2790C22semidirect
77. #2789C22semidirect
89. #2777C22semidirect
90. #2776C22semidirect
91. #2776C22semidirect
92. #2776C22semidirect
93. #2775C22semidirect
94. #2775C22semidirect
98. #2773C22semidirect
102. #2767C22semidirect
103. #2767C22semidirect
104. #2767C22semidirect
108. #2763C22semidirect
109. #2763C22semidirect
110. #2762C22semidirect
111. #2762C22semidirect
112. #2762C22semidirect
113. #2762C22semidirect
118. #2759C22semidirect
119. #2758C22semidirect
122. #2755C22semidirect
123. #2755C22semidirect
128. #2751C22semidirect
135. #2734C22semidirect
136. #2734C22semidirect
137. #2734C22semidirect
138. #2734C22semidirect
139. #2734C22semidirect
140. #2732C22semidirect
145. #2729C22semidirect
148. #2726C22semidirect
150. #2725C22semidirect
154. #2719C22semidirect
155. #2719C22semidirect
156. #2719C22semidirect
158. #2713C22semidirect
159. #2713C22semidirect
160. #2713C22semidirect
161. #2713C22semidirect
165. #2704C22semidirect
170. #2698C22semidirect
176. #2690C22semidirect
177. #2690C22semidirect
179. #2689C22semidirect
188. #2677C22semidirect
189. #2677C22semidirect
194. #2666C22semidirect
195. #2666C22semidirect
196. #2666C22semidirect
197. #2666C22semidirect
198. #2666C22semidirect
202. #2664C22semidirect
223. #2621C22semidirect
226. #2611C22semidirect
228. #2605C22semidirect
230. #2601C22semidirect
232. #2599C22semidirect
236. #2590C22semidirect
237. #2590C22semidirect
239. #2589C22semidirect
240. #2589C22semidirect
241. #2588C22semidirect
242. #2588C22semidirect
243. #2586C22semidirect
244. #2586C22semidirect
245. #2585C22semidirect
246. #2585C22semidirect
247. #2583C22semidirect
248. #2581C22semidirect
252. #2571C22semidirect
253. #2571C22semidirect
254. #2570C22semidirect
255. #2570C22semidirect
256. #2570C22semidirect
257. #2567C22semidirect
261. #2560C22semidirect
268. #2551C22semidirect
269. #2550C22semidirect
271. #2546C22semidirect
273. #2538C22semidirect
277. #2532C22semidirect
278. #2532C22semidirect
280. #2529C22semidirect
284. #2525C22semidirect
285. #2525C22semidirect
286. #2523C22semidirect
288. #2520C22semidirect
293. #2514C22semidirect
294. #2514C22semidirect
295. #2513C22semidirect
296. #2511C22semidirect
298. #2508C22semidirect
299. #2506C22semidirect
300. #2506C22semidirect
304. #2495C22semidirect
314. #2478C22semidirect
315. #2478C22semidirect
319. #2475C22semidirect
320. #2475C22semidirect
325. #2473C22semidirect
334. #2451C22semidirect
335. #2451C22semidirect
338. #2449C22semidirect
340. #2446C22semidirect
347. #2429C22semidirect
348. #2429C22semidirect
353. #2399C22semidirect
356. #2369C22semidirect
357. #2365C22semidirect
360. #2362C22semidirect
361. #2355C22semidirect
362. #2354C22semidirect
363. Q8×C4⋊C4C22semidirect
368. #2332C22semidirect
370. #2327C22semidirect
371. #2320C22semidirect

Maximal subgroups

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

subgroupindex
#592112
#589412
#586262
#585912
#585702
#583952
#568462
#562052
#557202
#540542
#538542
#536202
#536022
#527702
#520152
#517622
#514792
#495682
#488852
#484772
#481082
#478552
#477992
#474132
#457922
#453422
#423822
#420082
#416122
#412542
#397112
#394802
#393642
#378852
#374622