Finite Group Databasebeta

← #9243806

Subgroups — #9243806

Order 512.

4135 conjugacy classes of subgroups.

The subgroup lattice has 2053 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59259C211yesmaximal, characteristic, complemented
2#58595C212yesmaximal, complemented
3#58403C212yesmaximal, complemented
4#58105C212yesmaximal, complemented
5#57912C212yesmaximal, complemented
6#56778C212yesmaximal, complemented
7#55846C212yesmaximal, complemented
8#55763C212yesmaximal
9#55370C212yesmaximal, complemented
10#55146C212yesmaximal, complemented
11#54911C212yesmaximal, complemented
12#54085C212yesmaximal, complemented
13#53859C212yesmaximal, complemented
14#52735C212yesmaximal, complemented
15#52022C212yesmaximal, complemented
16#51609C212yesmaximal, complemented
17#50572C212yesmaximal, complemented
18#50524C212yesmaximal, complemented
19#50138C212yesmaximal, complemented
20#48858C212yesmaximal, complemented
21#48779C212yesmaximal, complemented
22#48137C212yesmaximal, complemented
23#47822C212yesmaximal, complemented
24#47150C212yesmaximal, complemented
25#45803C211yesmaximal, characteristic, complemented
26#45238C212yesmaximal, complemented
27#42300C212yesmaximal, complemented
28#42046C212yesmaximal, complemented
29#41715C212yesmaximal, complemented
30#41323C212yesmaximal, complemented
31#39839C211yesmaximal, characteristic, complemented
32#39607C211yesmaximal, characteristic, complemented
33#39364C211yesmaximal, characteristic, complemented
34#37895C211yesmaximal, characteristic
35#37460C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#544C2211yescharacteristic
38C2×#543C2211yescharacteristic
39C2×#541C2212yescomplemented
40#2857C2211yescharacteristic
41#2854C2211yescharacteristic
42#2839C2212yescomplemented
43#2839C2212yescomplemented
44#2838C2212yescomplemented
45#2837C2212yes—
46#2837C2212yes—
47#2837C2212yes—
48#2836C2212yes—
49#2836C2212yes—
50#2833C2212yescomplemented
51#2831C2212yes—
52#2831C2212yescomplemented
53#2831C2212yescomplemented
54#2830C2212yes—
55#2829C2212yes—
56#2827C2212yescomplemented
57#2823C2212yes—
58#2822C2212yescomplemented
59#2822C2212yescomplemented
60#2814C2212yes—
61#2810C2211yescharacteristic, complemented
62#2809C2212yescomplemented
63#2809C2211yescharacteristic, complemented
64#2808C2212yes—
65#2808C2211yescharacteristic, complemented
66#2808C2211yescharacteristic, complemented
67#2807C2212yes—
68#2807C2212yescomplemented
69#2806C2211yescharacteristic, complemented
70#2806C2211yescharacteristic, complemented
71#2805C2212yescomplemented
72#2804C2211yescharacteristic, complemented
73#2802C2212yescomplemented
74#2801C2212yes—
75#2800C2212yes—
76#2800C2212yes—
77#2798C2212yes—
78#2796C2212yes—
79#2795C2212yes—
80#2794C2212yescomplemented
81#2793C2212yes—
82#2792C2212yescomplemented
83#2792C2212yescomplemented
84#2791C2212yescomplemented
85#2791C2212yescomplemented
86#2791C2212yescomplemented
87#2790C2212yes—
88#2790C2212yescomplemented
89#2787C2212yes—
90#2787C2212yescomplemented
91#2786C2212yes—
92#2783C2212yes—
93#2783C2212yescomplemented
94#2780C2212yes—
95#2779C2212yes—
96#2777C2212yes—
97#2776C2212yescomplemented
98#2774C2212yescomplemented
99#2774C2212yescomplemented
100#2772C2212yes—
101#2772C2212yes—
102#2772C2212yescomplemented
103#2772C2212yescomplemented
104#2772C2212yescomplemented
105#2770C2212yes—
106#2770C2212yescomplemented
107#2768C2212yes—
108#2768C2212yes—
109#2768C2212yes—
110#2767C2212yescomplemented
111#2767C2212yescomplemented
112#2766C2212yescomplemented
113#2765C2212yes—
114#2765C2212yes—
115#2765C2212yes—
116#2761C2212yes—
117#2759C2212yescomplemented
118#2755C2212yescomplemented
119#2755C2212yescomplemented
120#2755C2212yescomplemented
121#2755C2212yescomplemented
122#2754C2212yes—
123#2754C2212yes—
124#2753C2212yes—
125#2750C2212yes—
126#2747C2212yes—
127#2747C2212yes—
128#2745C2212yes—
129#2739C2212yes—
130#2735C2212yes—
131#2735C2212yes—
132#2732C2212yes—
133#2732C2211yescharacteristic, complemented
134#2729C2212yes—
135#2729C2212yescomplemented
136#2729C2212yescomplemented
137#2728C2212yes—
138#2728C2212yes—
139#2728C2212yescomplemented
140#2727C2212yes—
141#2726C2212yescomplemented
142#2726C2212yescomplemented
143#2725C2212yes—
144#2725C2212yescomplemented
145#2722C2212yes—
146#2721C2212yes—
147#2721C2212yes—
148#2721C2212yes—
149#2721C2212yes—
150#2721C2212yes—
151#2721C2212yescomplemented
152#2720C2212yes—
153#2720C2212yes—
154#2720C2212yes—
155#2720C2212yescomplemented
156#2720C2212yescomplemented
157#2720C2212yescomplemented
158#2719C2212yescomplemented
159#2719C2212yescomplemented
160#2719C2212yescomplemented
161#2719C2212yescomplemented
162#2719C2212yescomplemented
163#2718C2212yes—
164#2718C2212yes—
165#2718C2212yes—
166#2718C2212yes—
167#2718C2212yes—
168#2716C2212yescomplemented
169#2716C2212yescomplemented
170#2713C2212yescomplemented
171#2707C2212yes—
172#2704C2212yes—
173#2704C2212yes—
174#2704C2212yes—
175#2704C2212yes—
176#2704C2212yescomplemented
177#2704C2212yescomplemented
178#2702C2212yes—
179#2702C2212yes—
180#2696C2212yes—
181#2694C2212yes—
182#2691C2212yes—
183#2690C2212yes—
184#2690C2212yes—
185#2689C2212yes—
186#2689C2212yes—
187#2689C2212yes—
188#2685C2212yes—
189#2685C2212yes—
190#2680C2212yes—
191#2680C2212yes—
192#2677C2212yes—
193#2667C2212yes—
194#2666C2212yescomplemented
195#2666C2212yescomplemented
196#2664C2212yes—
197#2664C2212yescomplemented
198#2663C2212yes—
199#2659C2211yescharacteristic
200#2655C2212yescomplemented
201#2655C2212yescomplemented
202#2655C2212yescomplemented
203#2654C2212yes—
204#2654C2212yes—
205#2653C2212yes—
206#2653C2212yes—
207#2650C2212yes—
208#2650C2212yes—
209#2646C2211yescharacteristic
210#2646C2211yescharacteristic
211#2638C2212yes—
212#2637C2212yes—
213#2637C2212yes—
214#2637C2212yes—
215#2636C2212yes—
216#2630C2212yes—
217#2629C2212yes—
218#2629C2212yescomplemented
219#2627C2211yescharacteristic
220#2626C2211yescharacteristic
221#2626C2211yescharacteristic
222#2626C2211yescharacteristic
223#2625C2212yes—
224#2617C2211yescharacteristic
225#2611C2212yes—
226#2611C2212yescomplemented
227#2609C2212yes—
228#2609C2212yescomplemented
229#2604C2212yes—
230#2601C2212yes—
231#2601C2212yes—
232#2601C2212yescomplemented
233#2599C2212yescomplemented
234#2596C2212yes—
235#2596C2212yes—
236#2596C2212yes—
237#2596C2212yescomplemented
238#2595C2212yes—
239#2595C2212yescomplemented
240#2594C2212yes—
241#2593C2212yes—
242#2590C2212yescomplemented
243#2588C2212yescomplemented
244#2588C2212yescomplemented
245#2587C2212yes—
246#2587C2212yes—
247#2587C2212yescomplemented
248#2587C2212yescomplemented
249#2586C2212yescomplemented
250#2585C2212yescomplemented
251#2585C2212yescomplemented
252#2585C2212yescomplemented
253#2584C2212yescomplemented
254#2582C2211yescharacteristic, complemented
255#2580C2212yes—
256#2577C2212yes—
257#2577C2212yes—
258#2575C2212yes—
259#2574C2212yes—
260#2567C2211yescharacteristic, complemented
261#2566C2212yes—
262#2566C2212yes—
263#2565C2212yescomplemented
264#2560C2212yes—
265#2558C2212yes—
266#2556C2212yes—
267#2556C2212yes—
268#2556C2212yes—
269#2554C2212yes—
270#2552C2212yescomplemented
271#2552C2211yescharacteristic, complemented
272#2552C2211yescharacteristic, complemented
273#2552C2212yescomplemented
274#2552C2212yescomplemented
275#2549C2212yes—
276#2534C2212yes—
277#2528C2212yescomplemented
278#2528C2212yescomplemented
279#2526C2212yes—
280#2525C2212yes—
281#2525C2212yescomplemented
282#2522C2212yes—
283#2520C2212yescomplemented
284#2519C2212yes—
285#2519C2212yes—
286#2519C2212yes—
287#2519C2212yes—
288#2519C2212yescomplemented
289#2519C2212yescomplemented
290#2508C2212yescomplemented
291#2507C2212yescomplemented
292#2507C2212yescomplemented
293#2507C2212yescomplemented
294#2506C2212yescomplemented
295#2506C2212yescomplemented
296#2506C2212yescomplemented
297#2505C2212yes—
298#2502C2212yescomplemented
299#2497C2212yes—
300#2497C2212yes—
301#2497C2212yes—
302#2492C2212yes—
303#2482C2212yes—
304#2481C2212yes—
305#2481C2212yescomplemented
306#2480C2212yes—
307#2480C2212yes—
308#2480C2212yes—
309#2479C2212yes—
310#2479C2212yes—
311#2478C2212yescomplemented
312#2478C2212yescomplemented
313#2478C2212yescomplemented
314#2478C2212yescomplemented
315#2478C2212yescomplemented
316#2477C2212yes—
317#2477C2212yes—
318#2476C2212yes—
319#2475C2212yes—
320#2475C2212yes—
321#2473C2212yes—
322#2473C2212yescomplemented
323#2469C2212yes—
324#2469C2212yescomplemented
325#2468C2212yes—
326#2465C2212yescomplemented
327#2465C2212yescomplemented
328#2462C2212yescomplemented
329#2460C2212yes—
330#2460C2212yes—
331#2458C2212yes—
332#2453C2212yescomplemented
333#2453C2212yescomplemented
334#2449C2212yes—
335#2449C2212yes—
336#2446C2212yescomplemented
337#2446C2212yescomplemented
338#2441C2212yes—
339#2441C2212yes—
340#2438C2212yes—
341#2437C2212yes—
342#2429C2212yes—
343#2423C2212yes—
344#2423C2212yes—
345#2421C2212yes—
346#2418C2212yes—
347#2418C2212yes—
348#2415C2212yes—
349#2415C2212yes—
350#2415C2212yes—
351#2411C2212yes—
352#2396C2212yescomplemented
353#2395C2212yes—
354#2383C2212yes—
355#2378C2212yes—
356#2376C2212yes—
357#2369C2211yescharacteristic, complemented
358#2362C2212yes—
359#2362C2212yes—
360#2362C2212yescomplemented
361#2359C2212yes—
362#2355C2212yescomplemented
363Q8×C4⋊C4C2211yescharacteristic, complemented
364Q8×C4⋊C4C2211yescharacteristic, complemented
365Q8×C4⋊C4C2211yescharacteristic, complemented
366#2342C2212yes—
367#2335C2212yes—
368#2334C2212yescomplemented
369#2331C2212yescomplemented
370#2325C2211yescharacteristic
371#2323C2212yes—
372#2317C2212yescomplemented
373#2312C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×C22⋊Q8C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#552—48no—
380#544—44no—
381#543—44no—
382#541—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×#121C2311yescharacteristic
431C2×#120C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2311yescharacteristic
455C22×C42C2311yescharacteristic
456#401C2312yes—
457#401C2312yes—
458#401C2312yes—
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#399C2312yes—
505#399C2312yes—
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#399C2312yes—
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#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#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#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
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#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
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#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#392C2312yes—
704#391C2312yes—
705#391C2311yescharacteristic
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2312yes—
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2311yescharacteristic
733#390C2311yescharacteristic
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2311yescharacteristic
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#389C2311yescharacteristic
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#389C2311yescharacteristic
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2311yescharacteristic
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
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#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
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#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#384C2312yes—
1016#384C2312yes—
1017#384C2312yes—
1018#384C2312yes—
1019#384C2312yes—
1020#384C2311yescharacteristic
1021#384C2311yescharacteristic
1022#384C2311yescharacteristic
1023#384C2312yes—
1024#384C2312yes—
1025#384C2312yes—
1026#384C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#379C2312yes—
1060#379C2312yes—
1061#379C2312yes—
1062#379C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊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—
1098C4×C22⋊C4C2312yes—
1099#376C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
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×C4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2412yes—
1119C23×C4C2411yescharacteristic
1120C23×C4C2411yescharacteristic
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C4⋊Q8—28no—
1126C4⋊Q8—42no—
1127C4⋊Q8—44no—
1128#126—44no—
1129#126—44no—
1130#126—44no—
1131#126—44no—
1132#126—44no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—82no—
1137#126—82no—
1138#125—44no—
1139#125—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—82no—
1149#125—82no—
1150#125—82no—
1151#125—82no—
1152#123—28no—
1153#123—44no—
1154#123—44no—
1155#123—82no—
1156C22⋊Q8—28no—
1157C22⋊Q8—24no—
1158C22⋊Q8—28no—
1159C22⋊Q8—24no—
1160C22⋊Q8—24no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—42no—
1167C22⋊Q8—44no—
1168C22⋊Q8—42no—
1169C22⋊Q8—44no—
1170C22⋊Q8—82no—
1171C22⋊Q8—82no—
1172#121—42no—
1173#120—82no—
1174C4×Q8—28no—
1175C4×Q8—42no—
1176C4×Q8—42no—
1177C4×Q8—42no—
1178C4×Q8—44no—
1179C4×Q8—82no—
1180C4×Q8—82no—
1181C4×D4—44no—
1182C4×D4—82no—
1183C4×D4—82no—
1184#117—44no—
1185#117—44no—
1186#117—44no—
1187#117—44no—
1188#117—44no—
1189#117—44no—
1190#117—82no—
1191C2×C4⋊C4—42no—
1192C2×C4⋊C4—44no—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2411yescharacteristic
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊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⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—24no—
1310C2×C22⋊C4—42no—
1311C2×C22⋊C4—44no—
1312C2×C22⋊C4—42no—
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×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C42—42no—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2411yescharacteristic
1381C2×C42C2411yescharacteristic
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×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2411yescharacteristic
1404C2×C42C2412yes—
1405C2×C42C2411yescharacteristic
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—22no—
1530C2×Q8—22no—
1531C2×Q8—41no—
1532C2×Q8—41no—
1533C2×Q8—41no—
1534C2×Q8—41no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—41no—
1542C2×Q8—42no—
1543C2×Q8—41no—
1544C2×Q8—41no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—42no—
1548C2×Q8H(5,𝔽2)14yes—
1549C2×D4—24no—
1550C2×D4—42no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—41no—
1559C2×D4—41no—
1560C2×D4—41no—
1561C22×C4—22no—
1562C22×C4—24no—
1563C22×C4—22no—
1564C22×C4—24no—
1565C22×C4—22no—
1566C22×C4—41no—
1567C22×C4—41no—
1568C22×C4—42no—
1569C22×C4—41no—
1570C22×C4—42no—
1571C22×C4—41no—
1572C22×C4—41no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—41no—
1579C22×C4—42no—
1580C22×C4—41no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—41no—
1593C22×C42−1+414yes—
1594C22×C4C2512yes—
1595C22×C4C2511yescharacteristic
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2511yescharacteristic
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
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×C4C2511yescharacteristic
1623C22×C4C2511yescharacteristic
1624C22×C4C2511yescharacteristic
1625C22×C4C2511yescharacteristic
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—22no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—22no—
1642C4⋊C4—22no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—41no—
1654C4⋊C4—41no—
1655C4⋊C4—42no—
1656C4⋊C4—41no—
1657C4⋊C4—41no—
1658C4⋊C4—42no—
1659C4⋊C4—41no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—41no—
1670C4⋊C4—41no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
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—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—41no—
1697C4⋊C4—41no—
1698C4⋊C4—41no—
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—41no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—41no—
1711C4⋊C4—42no—
1712C4⋊C4—41no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—41no—
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—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—24no—
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—44no—
1865Q8—44no—
1866Q8—84no—
1867Q8—162no—
1868Q8—161no—
1869Q8—161no—
1870D4—84no—
1871D4—84no—
1872D4—84no—
1873D4—161no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—21no—
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—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—21no—
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—22no—
1909C2×C4—21no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—21no—
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—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—21no—
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—21no—
1960C2×C4—21no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—44no—
1966C2×C4—48no—
1967C2×C4—44no—
1968C2×C4—82no—
1969C2×C4—84no—
1970C2×C4—82no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—161no—
1974C2×C4—162no—
1975C2×C4—161no—
1976C2×C4C2×H(5,𝔽2)14yes—
1977C2×C4C2×H(5,𝔽2)12yes—
1978C2×C4C2×2−1+412yes—
1979C2×C4C2×2−1+412yes—
1980C2×C4#58512yes—
1981C22—22no—
1982C22—22no—
1983C22—22no—
1984C22—41no—
1985C22—41no—
1986C22—41no—
1987C22—41no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—164no—
2003C22C22×H(5,𝔽2)11yescharacteristic
2004C22C22×2−1+411yescharacteristic
2005C22C2×#58511yescharacteristic
2006C22H(7,𝔽2)11yescharacteristic
2007C222−1+611yescharacteristic
2008C222−1+611yescharacteristic
2009C222−1+611yescharacteristic
2010C4—22no—
2011C4—24no—
2012C4—22no—
2013C4—22no—
2014C4—22no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—41no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—41no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C2—42no—
2043C2—82no—
2044C2—82no—
2045C2#6287311yescharacteristic
2046C2#6288911yescharacteristic
2047C2#6290111yescharacteristic
2048C2#6290211yescharacteristic
2049C2#6291311yescharacteristic
2050C2#6297711yescharacteristic
2051C2#6305211yescharacteristic
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. #59259C2semidirect
2. #58595C2semidirect
3. #58403C2semidirect
4. #58105C2semidirect
5. #57912C2semidirect
6. #56778C2semidirect
7. #55846C2semidirect
9. #55370C2semidirect
10. #55146C2semidirect
11. #54911C2semidirect
12. #54085C2semidirect
13. #53859C2semidirect
14. #52735C2semidirect
15. #52022C2semidirect
16. #51609C2semidirect
17. #50572C2semidirect
18. #50524C2semidirect
19. #50138C2semidirect
20. #48858C2semidirect
21. #48779C2semidirect
22. #48137C2semidirect
23. #47822C2semidirect
24. #47150C2semidirect
25. #45803C2semidirect
26. #45238C2semidirect
27. #42300C2semidirect
28. #42046C2semidirect
29. #41715C2semidirect
30. #41323C2semidirect
31. #39839C2semidirect
32. #39607C2semidirect
33. #39364C2semidirect
35. #37460C2semidirect
39. C2×#541C22semidirect
42. #2839C22semidirect
43. #2839C22semidirect
44. #2838C22semidirect
50. #2833C22semidirect
52. #2831C22semidirect
53. #2831C22semidirect
56. #2827C22semidirect
58. #2822C22semidirect
59. #2822C22semidirect
61. #2810C22semidirect
62. #2809C22semidirect
63. #2809C22semidirect
65. #2808C22semidirect
66. #2808C22semidirect
68. #2807C22semidirect
69. #2806C22semidirect
70. #2806C22semidirect
71. #2805C22semidirect
72. #2804C22semidirect
73. #2802C22semidirect
80. #2794C22semidirect
82. #2792C22semidirect
83. #2792C22semidirect
84. #2791C22semidirect
85. #2791C22semidirect
86. #2791C22semidirect
88. #2790C22semidirect
90. #2787C22semidirect
93. #2783C22semidirect
97. #2776C22semidirect
98. #2774C22semidirect
99. #2774C22semidirect
102. #2772C22semidirect
103. #2772C22semidirect
104. #2772C22semidirect
106. #2770C22semidirect
110. #2767C22semidirect
111. #2767C22semidirect
112. #2766C22semidirect
117. #2759C22semidirect
118. #2755C22semidirect
119. #2755C22semidirect
120. #2755C22semidirect
121. #2755C22semidirect
133. #2732C22semidirect
135. #2729C22semidirect
136. #2729C22semidirect
139. #2728C22semidirect
141. #2726C22semidirect
142. #2726C22semidirect
144. #2725C22semidirect
151. #2721C22semidirect
155. #2720C22semidirect
156. #2720C22semidirect
157. #2720C22semidirect
158. #2719C22semidirect
159. #2719C22semidirect
160. #2719C22semidirect
161. #2719C22semidirect
162. #2719C22semidirect
168. #2716C22semidirect
169. #2716C22semidirect
170. #2713C22semidirect
176. #2704C22semidirect
177. #2704C22semidirect
194. #2666C22semidirect
195. #2666C22semidirect
197. #2664C22semidirect
200. #2655C22semidirect
201. #2655C22semidirect
202. #2655C22semidirect
218. #2629C22semidirect
226. #2611C22semidirect
228. #2609C22semidirect
232. #2601C22semidirect
233. #2599C22semidirect
237. #2596C22semidirect
239. #2595C22semidirect
242. #2590C22semidirect
243. #2588C22semidirect
244. #2588C22semidirect
247. #2587C22semidirect
248. #2587C22semidirect
249. #2586C22semidirect
250. #2585C22semidirect
251. #2585C22semidirect
252. #2585C22semidirect
253. #2584C22semidirect
254. #2582C22semidirect
260. #2567C22semidirect
263. #2565C22semidirect
270. #2552C22semidirect
271. #2552C22semidirect
272. #2552C22semidirect
273. #2552C22semidirect
274. #2552C22semidirect
277. #2528C22semidirect
278. #2528C22semidirect
281. #2525C22semidirect
283. #2520C22semidirect
288. #2519C22semidirect
289. #2519C22semidirect
290. #2508C22semidirect
291. #2507C22semidirect
292. #2507C22semidirect
293. #2507C22semidirect
294. #2506C22semidirect
295. #2506C22semidirect
296. #2506C22semidirect
298. #2502C22semidirect
305. #2481C22semidirect
311. #2478C22semidirect
312. #2478C22semidirect
313. #2478C22semidirect
314. #2478C22semidirect
315. #2478C22semidirect
322. #2473C22semidirect
324. #2469C22semidirect
326. #2465C22semidirect
327. #2465C22semidirect
328. #2462C22semidirect
332. #2453C22semidirect
333. #2453C22semidirect
336. #2446C22semidirect
337. #2446C22semidirect
352. #2396C22semidirect
357. #2369C22semidirect
360. #2362C22semidirect
362. #2355C22semidirect
363. Q8×C4⋊C4C22semidirect
364. Q8×C4⋊C4C22semidirect
365. Q8×C4⋊C4C22semidirect
368. #2334C22semidirect
369. #2331C22semidirect
372. #2317C22semidirect

Maximal subgroups

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

subgroupindex
#592592
#585952
#584032
#581052
#579122
#567782
#558462
#557632
#553702
#551462
#549112
#540852
#538592
#527352
#520222
#516092
#505722
#505242
#501382
#488582
#487792
#481372
#478222
#471502
#458032
#452382
#423002
#420462
#417152
#413232
#398392
#396072
#393642
#378952
#374602