Finite Group Databasebeta

← #10069087

Subgroups — #10069087

Order 512.

4039 conjugacy classes of subgroups.

The subgroup lattice has 2034 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59437C211yesmaximal, characteristic, complemented
2#58376C212yesmaximal, complemented
3#57757C212yesmaximal, complemented
4#57280C212yesmaximal, complemented
5#57257C212yesmaximal, complemented
6#57233C212yesmaximal, complemented
7#55920C212yesmaximal, complemented
8#54203C212yesmaximal, complemented
9#53812C212yesmaximal, complemented
10#52955C212yesmaximal, complemented
11#52426C212yesmaximal, complemented
12#50976C212yesmaximal, complemented
13#50329C212yesmaximal, complemented
14#48524C212yesmaximal, complemented
15#48108C212yesmaximal, complemented
16#47349C212yesmaximal, complemented
17#47007C212yesmaximal, complemented
18#46657C212yesmaximal, complemented
19#46595C212yesmaximal, complemented
20#46163C211yesmaximal, characteristic, complemented
21#46154C211yesmaximal, characteristic, complemented
22#44671C212yesmaximal, complemented
23#44277C212yesmaximal, complemented
24#44102C212yesmaximal, complemented
25#43701C212yesmaximal, complemented
26#43446C212yesmaximal, complemented
27#43121C212yesmaximal, complemented
28#42286C212yesmaximal, complemented
29#42286C212yesmaximal, complemented
30#41206C212yesmaximal
31#40831C212yesmaximal, complemented
32#39200C211yesmaximal, characteristic, complemented
33#38791C211yesmaximal, characteristic, complemented
34#38768C211yesmaximal, characteristic
35#37256C211yesmaximal, characteristic, complemented
36#2864C2211yescharacteristic, complemented
37#2862C2211yescharacteristic, complemented
38#2861C2211yescharacteristic
39#2845C2211yescharacteristic, complemented
40#2844C2211yescharacteristic, complemented
41#2841C2212yescomplemented
42#2838C2212yescomplemented
43#2838C2212yescomplemented
44#2838C2212yescomplemented
45#2838C2212yescomplemented
46#2837C2212yes—
47#2837C2212yes—
48#2836C2212yescomplemented
49#2836C2212yescomplemented
50#2833C2212yescomplemented
51#2833C2212yescomplemented
52#2832C2212yes—
53#2827C2212yes—
54#2827C2212yes—
55#2822C2211yescharacteristic, complemented
56#2821C2212yescomplemented
57#2820C2211yescharacteristic
58#2814C2212yes—
59#2809C2212yescomplemented
60#2808C2211yescharacteristic
61#2807C2212yescomplemented
62#2807C2212yescomplemented
63#2806C2212yescomplemented
64#2805C2211yescharacteristic, complemented
65#2805C2212yescomplemented
66#2804C2211yescharacteristic
67#2802C2212yescomplemented
68#2799C2212yescomplemented
69#2799C2212yescomplemented
70#2799C2212yescomplemented
71#2798C2212yescomplemented
72#2798C2212yescomplemented
73#2796C2212yes—
74#2793C2212yescomplemented
75#2791C2212yescomplemented
76#2790C2212yescomplemented
77#2788C2212yescomplemented
78#2788C2212yescomplemented
79#2788C2212yescomplemented
80#2787C2212yescomplemented
81#2787C2212yescomplemented
82#2787C2212yescomplemented
83#2787C2212yescomplemented
84#2786C2212yes—
85#2783C2212yescomplemented
86#2781C2212yes—
87#2781C2212yes—
88#2780C2212yes—
89#2780C2212yes—
90#2779C2212yes—
91#2777C2212yescomplemented
92#2777C2212yescomplemented
93#2777C2212yescomplemented
94#2776C2212yescomplemented
95#2773C2212yescomplemented
96#2773C2212yescomplemented
97#2773C2212yescomplemented
98#2772C2212yescomplemented
99#2770C2212yescomplemented
100#2770C2212yescomplemented
101#2770C2212yescomplemented
102#2769C2212yescomplemented
103#2768C2212yescomplemented
104#2765C2212yescomplemented
105#2764C2212yescomplemented
106#2763C2212yescomplemented
107#2762C2212yescomplemented
108#2759C2212yescomplemented
109#2757C2212yes—
110#2757C2212yes—
111#2757C2212yes—
112#2755C2212yescomplemented
113#2755C2212yescomplemented
114#2754C2212yescomplemented
115#2754C2212yescomplemented
116#2754C2212yescomplemented
117#2751C2212yes—
118#2751C2212yes—
119#2748C2212yes—
120#2747C2212yescomplemented
121#2747C2212yescomplemented
122#2746C2212yes—
123#2746C2212yes—
124#2746C2212yes—
125#2744C2212yescomplemented
126#2742C2212yescomplemented
127#2741C2212yes—
128#2741C2212yes—
129#2741C2212yes—
130#2740C2212yes—
131#2740C2212yes—
132#2738C2212yescomplemented
133#2738C2212yescomplemented
134#2735C2212yescomplemented
135#2735C2212yescomplemented
136#2734C2211yescharacteristic, complemented
137#2732C2211yescharacteristic
138#2729C2212yescomplemented
139#2729C2212yescomplemented
140#2729C2212yescomplemented
141#2729C2212yescomplemented
142#2728C2212yes—
143#2728C2212yes—
144#2727C2211yescharacteristic
145#2727C2211yescharacteristic
146#2727C2212yes—
147#2727C2211yescharacteristic
148#2726C2211yescharacteristic, complemented
149#2726C2211yescharacteristic, complemented
150#2724C2211yescharacteristic
151#2723C2212yes—
152#2723C2212yes—
153#2722C2212yescomplemented
154#2721C2212yescomplemented
155#2721C2212yescomplemented
156#2720C2212yescomplemented
157#2720C2212yescomplemented
158#2719C2212yescomplemented
159#2718C2212yes—
160#2716C2212yescomplemented
161#2716C2212yescomplemented
162#2716C2212yescomplemented
163#2716C2212yescomplemented
164#2716C2212yescomplemented
165#2716C2212yescomplemented
166#2716C2212yescomplemented
167#2715C2212yes—
168#2695C2212yes—
169#2692C2212yes—
170#2692C2212yes—
171#2690C2212yescomplemented
172#2690C2212yescomplemented
173#2689C2212yescomplemented
174#2685C2212yes—
175#2684C2212yes—
176#2684C2212yes—
177#2684C2212yes—
178#2684C2212yes—
179#2679C2211yescharacteristic
180#2677C2212yescomplemented
181#2674C2212yes—
182#2674C2212yes—
183#2655C2212yescomplemented
184#2655C2212yescomplemented
185#2655C2212yescomplemented
186#2655C2212yescomplemented
187#2653C2212yes—
188#2653C2212yes—
189#2653C2212yes—
190#2652C2212yescomplemented
191#2652C2212yescomplemented
192#2652C2212yescomplemented
193#2652C2212yescomplemented
194#2651C2212yes—
195#2650C2212yescomplemented
196#2650C2212yescomplemented
197#2649C2212yes—
198#2634C2212yescomplemented
199#2632C2212yes—
200#2626C2212yescomplemented
201#2625C2212yescomplemented
202#2622C2212yes—
203#2606C2212yescomplemented
204#2605C2212yescomplemented
205#2604C2212yescomplemented
206#2604C2212yescomplemented
207#2601C2212yes—
208#2599C2212yescomplemented
209#2599C2212yescomplemented
210#2597C2212yes—
211#2597C2212yes—
212#2596C2212yescomplemented
213#2596C2212yescomplemented
214#2595C2212yes—
215#2595C2212yes—
216#2595C2212yes—
217#2594C2212yescomplemented
218#2594C2212yescomplemented
219#2593C2212yes—
220#2592C2212yes—
221#2589C2212yescomplemented
222#2589C2212yescomplemented
223#2589C2212yescomplemented
224#2589C2212yescomplemented
225#2587C2212yescomplemented
226#2585C2212yescomplemented
227#2585C2212yescomplemented
228#2585C2212yescomplemented
229#2583C2212yescomplemented
230#2583C2212yescomplemented
231#2582C2212yescomplemented
232#2580C2212yes—
233#2579C2212yes—
234#2579C2212yes—
235#2578C2212yes—
236#2577C2212yescomplemented
237#2577C2212yescomplemented
238#2577C2212yescomplemented
239#2577C2212yescomplemented
240#2574C2212yescomplemented
241#2561C2212yescomplemented
242#2560C2212yes—
243#2560C2212yes—
244#2560C2212yes—
245#2556C2212yescomplemented
246#2556C2212yescomplemented
247#2549C2212yescomplemented
248#2547C2211yescharacteristic
249#2547C2212yes—
250#2547C2211yescharacteristic
251#2546C2211yescharacteristic, complemented
252#2542C2211yescharacteristic
253#2533C2212yescomplemented
254#2533C2212yescomplemented
255#2532C2212yescomplemented
256#2532C2212yescomplemented
257#2532C2212yescomplemented
258#2532C2212yescomplemented
259#2532C2212yescomplemented
260#2529C2212yescomplemented
261#2529C2212yescomplemented
262#2527C2212yescomplemented
263#2524C2212yescomplemented
264#2524C2212yescomplemented
265#2523C2212yescomplemented
266#2523C2212yescomplemented
267#2522C2212yescomplemented
268#2522C2212yescomplemented
269#2522C2212yescomplemented
270#2521C2212yes—
271#2521C2212yes—
272#2519C2212yescomplemented
273#2519C2212yescomplemented
274#2517C2212yescomplemented
275#2515C2212yescomplemented
276#2514C2212yescomplemented
277#2511C2212yescomplemented
278#2510C2212yes—
279#2505C2212yescomplemented
280#2505C2212yescomplemented
281#2495C2212yescomplemented
282#2495C2212yescomplemented
283#2494C2212yescomplemented
284#2492C2212yescomplemented
285#2487C2212yes—
286#2482C2212yescomplemented
287#2481C2212yes—
288#2481C2212yes—
289#2481C2212yes—
290#2480C2212yescomplemented
291#2480C2212yescomplemented
292#2480C2212yescomplemented
293#2480C2212yescomplemented
294#2480C2212yescomplemented
295#2480C2212yescomplemented
296#2478C2212yescomplemented
297#2478C2212yescomplemented
298#2477C2212yes—
299#2477C2212yes—
300#2475C2212yescomplemented
301#2474C2212yes—
302#2473C2212yescomplemented
303#2472C2212yes—
304#2472C2212yes—
305#2472C2212yes—
306#2472C2212yes—
307#2470C2212yes—
308#2468C2212yes—
309#2465C2212yescomplemented
310#2465C2212yescomplemented
311#2465C2212yescomplemented
312#2460C2212yes—
313#2460C2212yes—
314#2460C2212yes—
315#2458C2212yes—
316#2458C2212yes—
317#2454C2212yes—
318#2451C2212yescomplemented
319#2451C2212yescomplemented
320#2450C2212yes—
321#2449C2212yes—
322#2449C2212yes—
323#2448C2212yes—
324#2448C2212yes—
325#2446C2212yescomplemented
326#2442C2212yescomplemented
327#2441C2212yescomplemented
328#2440C2212yescomplemented
329#2439C2212yescomplemented
330#2437C2212yescomplemented
331#2437C2212yescomplemented
332#2429C2212yescomplemented
333#2423C2212yescomplemented
334#2423C2212yescomplemented
335#2418C2212yes—
336#2418C2212yes—
337#2411C2212yes—
338#2411C2212yes—
339#2401C2212yescomplemented
340#2399C2212yescomplemented
341#2395C2212yes—
342C2×#399C2212yescomplemented
343#2382C2211yescharacteristic, complemented
344#2379C2211yescharacteristic
345#2379C2211yescharacteristic
346#2379C2211yescharacteristic
347#2373C2212yescomplemented
348#2372C2212yes—
349#2367C2212yes—
350#2365C2211yescharacteristic, complemented
351#2365C2211yescharacteristic, complemented
352#2365C2212yescomplemented
353#2362C2212yescomplemented
354#2360C2212yescomplemented
355#2360C2212yescomplemented
356#2360C2212yescomplemented
357#2358C2212yes—
358#2358C2212yes—
359#2355C2211yescharacteristic, complemented
360#2353C2212yes—
361D4×C4⋊C4C2211yescharacteristic
362#2345C2212yescomplemented
363#2337C2212yes—
364#2336C2212yescomplemented
365#2335C2212yes—
366#2334C2212yescomplemented
367#2334C2212yescomplemented
368#2330C2212yescomplemented
369#2323C2212yescomplemented
370#2323C2212yescomplemented
371#2321C2212yes—
372#2321C2212yes—
373#2315C2212yescomplemented
374#2312C2212yescomplemented
375C4×C4⋊Q8C2211yescharacteristic, complemented
376C4×#125C2211yescharacteristic, complemented
377C4×#124C2211yescharacteristic
378#2293C2211yescharacteristic
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2311yescharacteristic
381C2×C4⋊Q8C2311yescharacteristic
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2311yescharacteristic
393C2×#125C2311yescharacteristic
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2311yescharacteristic
399C2×#124C2311yescharacteristic
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2312yes—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439#401C2312yes—
440#401C2312yes—
441#401C2312yes—
442#401C2312yes—
443#401C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
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#399C2312yes—
488#399C2312yes—
489#399C2312yes—
490#399C2312yes—
491#399C2312yes—
492#399C2312yes—
493#399C2312yes—
494#399C2312yes—
495#399C2312yes—
496#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
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#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2312yes—
696#391C2311yescharacteristic
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2311yescharacteristic
704#391C2312yes—
705#390C2311yescharacteristic
706#390C2312yes—
707#390C2312yes—
708#390C2311yescharacteristic
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2311yescharacteristic
713#390C2312yes—
714#390C2311yescharacteristic
715#390C2312yes—
716#390C2311yescharacteristic
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#389C2311yescharacteristic
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2311yescharacteristic
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#389C2311yescharacteristic
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
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#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
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#385C2312yes—
998#385C2312yes—
999#384C2311yescharacteristic
1000#384C2312yes—
1001#384C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#382C2311yescharacteristic
1011#382C2311yescharacteristic
1012#382C2311yescharacteristic
1013#382C2312yes—
1014#382C2311yescharacteristic
1015#382C2311yescharacteristic
1016#382C2311yescharacteristic
1017#382C2311yescharacteristic
1018#382C2311yescharacteristic
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#379C2312yes—
1045#379C2312yes—
1046#379C2312yes—
1047#379C2312yes—
1048#379C2312yes—
1049#379C2312yes—
1050#379C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2311yescharacteristic
1055C4×C4⋊C4C2311yescharacteristic
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2311yescharacteristic
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2312yes—
1097C43C2311yescharacteristic
1098C25C2412yes—
1099C22×Q8C2412yes—
1100C22×Q8C2412yes—
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2412yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×D4C2411yescharacteristic
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C23×C4C2412yes—
1113C23×C4C2412yes—
1114C23×C4C2412yes—
1115C23×C4C2412yes—
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C4⋊Q8—42no—
1123C4⋊Q8—42no—
1124C4⋊Q8—42no—
1125C4⋊Q8—44no—
1126C4⋊Q8—82no—
1127C4⋊Q8—82no—
1128#126—44no—
1129#126—44no—
1130#126—44no—
1131#126—82no—
1132#126—82no—
1133#126—82no—
1134#126—82no—
1135#125—42no—
1136#125—42no—
1137#125—44no—
1138#125—44no—
1139#125—82no—
1140#124—28no—
1141#124—24no—
1142#124—42no—
1143#124—82no—
1144#124—82no—
1145#123—44no—
1146#123—82no—
1147C22⋊Q8—44no—
1148C22⋊Q8—44no—
1149C22⋊Q8—44no—
1150C22⋊Q8—44no—
1151C22⋊Q8—44no—
1152C22⋊Q8—44no—
1153C22⋊Q8—82no—
1154C22⋊Q8—82no—
1155C22⋊Q8—82no—
1156C22⋊Q8—82no—
1157#120—28no—
1158#120—44no—
1159#120—82no—
1160C4×Q8—42no—
1161C4×Q8—82no—
1162C4×Q8—82no—
1163C4×Q8—82no—
1164C4×Q8—82no—
1165C4×Q8—82no—
1166C4×D4—42no—
1167C4×D4—42no—
1168C4×D4—44no—
1169C4×D4—82no—
1170C4×D4—82no—
1171#117—82no—
1172#117—82no—
1173#117—82no—
1174C2×C4⋊C4—44no—
1175C2×C4⋊C4—82no—
1176C2×C4⋊C4—82no—
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2411yescharacteristic
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C22⋊C4—44no—
1277C2×C22⋊C4—44no—
1278C2×C22⋊C4—82no—
1279C2×C22⋊C4—82no—
1280C2×C22⋊C4—82no—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
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×C42C2411yescharacteristic
1353C2×C42C2411yescharacteristic
1354C2×C42C2411yescharacteristic
1355C2×C42C2411yescharacteristic
1356C2×C42C2412yes—
1357C2×C42C2411yescharacteristic
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2411yescharacteristic
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2411yescharacteristic
1383C2×C42C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
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—
1501C24—24no—
1502C24—42no—
1503C24—42no—
1504C24—42no—
1505C24—42no—
1506C24—42no—
1507C24—42no—
1508C24C2512yes—
1509C24C2512yes—
1510C24C2512yes—
1511C2×Q8—22no—
1512C2×Q8—24no—
1513C2×Q8—24no—
1514C2×Q8—24no—
1515C2×Q8—41no—
1516C2×Q8—42no—
1517C2×Q8—42no—
1518C2×Q8—42no—
1519C2×Q8—42no—
1520C2×Q8—42no—
1521C2×Q8—42no—
1522C2×Q8—42no—
1523C2×Q8—42no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—41no—
1528C2×Q8—42no—
1529C2×Q8—41no—
1530C2×Q8—41no—
1531C2×Q8—41no—
1532C2×D4—24no—
1533C2×D4—24no—
1534C2×D4—22no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—42no—
1538C2×D4—42no—
1539C2×D4—42no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—42no—
1543C2×D4—42no—
1544C2×D4—41no—
1545C2×D4—42no—
1546C2×D4—42no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D42−1+414yes—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2511yescharacteristic
1585C22×C4C2512yes—
1586C22×C4C2511yescharacteristic
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2512yes—
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2511yescharacteristic
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2511yescharacteristic
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C22×C4C2511yescharacteristic
1612C4⋊C4—22no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—22no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—22no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—22no—
1624C4⋊C4—22no—
1625C4⋊C4—42no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—42no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—42no—
1634C4⋊C4—42no—
1635C4⋊C4—41no—
1636C4⋊C4—41no—
1637C4⋊C4—41no—
1638C4⋊C4—41no—
1639C4⋊C4—42no—
1640C4⋊C4—41no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—41no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—41no—
1656C4⋊C4—41no—
1657C4⋊C4—41no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
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—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
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—41no—
1684C4⋊C4—42no—
1685C4⋊C4—41no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—41no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—41no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—41no—
1706C4⋊C4—41no—
1707C4⋊C4—41no—
1708C4⋊C4—41no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—42no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
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—
1782C42—22no—
1783C42—24no—
1784C42—22no—
1785C42—22no—
1786C42—22no—
1787C42—41no—
1788C42—42no—
1789C42—41no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—41no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—48no—
1835C23—84no—
1836C23—84no—
1837C23—162no—
1838C23—162no—
1839C23—162no—
1840C23—162no—
1841C23C2×2−1+414yes—
1842C23C2611yescharacteristic
1843Q8—84no—
1844Q8—82no—
1845Q8—84no—
1846Q8—84no—
1847Q8—84no—
1848Q8—84no—
1849Q8—161no—
1850D4—44no—
1851D4—82no—
1852D4—84no—
1853D4—84no—
1854D4—161no—
1855D4—162no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
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—22no—
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—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
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—21no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—21no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—21no—
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—84no—
1949C2×C4—84no—
1950C2×C4—84no—
1951C2×C4—84no—
1952C2×C4—84no—
1953C2×C4—84no—
1954C2×C4—162no—
1955C2×C4—162no—
1956C2×C4—162no—
1957C2×C4—162no—
1958C2×C4C2×2−1+412yes—
1959C2×C4#58512yes—
1960C2×C4#58512yes—
1961C2×C4#58512yes—
1962C22—24no—
1963C22—24no—
1964C22—24no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—168no—
1984C22C22×2−1+411yescharacteristic
1985C22C2×#58511yescharacteristic
1986C22C2×#58511yescharacteristic
1987C22C2×#58511yescharacteristic
1988C22H(7,𝔽2)11yescharacteristic
1989C22H(7,𝔽2)11yescharacteristic
1990C222−1+611yescharacteristic
1991C4—22no—
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—41no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—41no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—41no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C2—44no—
2024C2—82no—
2025C2—82no—
2026C2#6286911yescharacteristic
2027C2#6290211yescharacteristic
2028C2#6296411yescharacteristic
2029C2#6296511yescharacteristic
2030C2#6302511yescharacteristic
2031C2#6305811yescharacteristic
2032C2#6306011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2679C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59437C2semidirect
2. #58376C2semidirect
3. #57757C2semidirect
4. #57280C2semidirect
5. #57257C2semidirect
6. #57233C2semidirect
7. #55920C2semidirect
8. #54203C2semidirect
9. #53812C2semidirect
10. #52955C2semidirect
11. #52426C2semidirect
12. #50976C2semidirect
13. #50329C2semidirect
14. #48524C2semidirect
15. #48108C2semidirect
16. #47349C2semidirect
17. #47007C2semidirect
18. #46657C2semidirect
19. #46595C2semidirect
20. #46163C2semidirect
21. #46154C2semidirect
22. #44671C2semidirect
23. #44277C2semidirect
24. #44102C2semidirect
25. #43701C2semidirect
26. #43446C2semidirect
27. #43121C2semidirect
28. #42286C2semidirect
29. #42286C2semidirect
31. #40831C2semidirect
32. #39200C2semidirect
33. #38791C2semidirect
35. #37256C2semidirect
36. #2864C22semidirect
37. #2862C22semidirect
39. #2845C22semidirect
40. #2844C22semidirect
41. #2841C22semidirect
42. #2838C22semidirect
43. #2838C22semidirect
44. #2838C22semidirect
45. #2838C22semidirect
48. #2836C22semidirect
49. #2836C22semidirect
50. #2833C22semidirect
51. #2833C22semidirect
55. #2822C22semidirect
56. #2821C22semidirect
59. #2809C22semidirect
61. #2807C22semidirect
62. #2807C22semidirect
63. #2806C22semidirect
64. #2805C22semidirect
65. #2805C22semidirect
67. #2802C22semidirect
68. #2799C22semidirect
69. #2799C22semidirect
70. #2799C22semidirect
71. #2798C22semidirect
72. #2798C22semidirect
74. #2793C22semidirect
75. #2791C22semidirect
76. #2790C22semidirect
77. #2788C22semidirect
78. #2788C22semidirect
79. #2788C22semidirect
80. #2787C22semidirect
81. #2787C22semidirect
82. #2787C22semidirect
83. #2787C22semidirect
85. #2783C22semidirect
91. #2777C22semidirect
92. #2777C22semidirect
93. #2777C22semidirect
94. #2776C22semidirect
95. #2773C22semidirect
96. #2773C22semidirect
97. #2773C22semidirect
98. #2772C22semidirect
99. #2770C22semidirect
100. #2770C22semidirect
101. #2770C22semidirect
102. #2769C22semidirect
103. #2768C22semidirect
104. #2765C22semidirect
105. #2764C22semidirect
106. #2763C22semidirect
107. #2762C22semidirect
108. #2759C22semidirect
112. #2755C22semidirect
113. #2755C22semidirect
114. #2754C22semidirect
115. #2754C22semidirect
116. #2754C22semidirect
120. #2747C22semidirect
121. #2747C22semidirect
125. #2744C22semidirect
126. #2742C22semidirect
132. #2738C22semidirect
133. #2738C22semidirect
134. #2735C22semidirect
135. #2735C22semidirect
136. #2734C22semidirect
138. #2729C22semidirect
139. #2729C22semidirect
140. #2729C22semidirect
141. #2729C22semidirect
148. #2726C22semidirect
149. #2726C22semidirect
153. #2722C22semidirect
154. #2721C22semidirect
155. #2721C22semidirect
156. #2720C22semidirect
157. #2720C22semidirect
158. #2719C22semidirect
160. #2716C22semidirect
161. #2716C22semidirect
162. #2716C22semidirect
163. #2716C22semidirect
164. #2716C22semidirect
165. #2716C22semidirect
166. #2716C22semidirect
171. #2690C22semidirect
172. #2690C22semidirect
173. #2689C22semidirect
180. #2677C22semidirect
183. #2655C22semidirect
184. #2655C22semidirect
185. #2655C22semidirect
186. #2655C22semidirect
190. #2652C22semidirect
191. #2652C22semidirect
192. #2652C22semidirect
193. #2652C22semidirect
195. #2650C22semidirect
196. #2650C22semidirect
198. #2634C22semidirect
200. #2626C22semidirect
201. #2625C22semidirect
203. #2606C22semidirect
204. #2605C22semidirect
205. #2604C22semidirect
206. #2604C22semidirect
208. #2599C22semidirect
209. #2599C22semidirect
212. #2596C22semidirect
213. #2596C22semidirect
217. #2594C22semidirect
218. #2594C22semidirect
221. #2589C22semidirect
222. #2589C22semidirect
223. #2589C22semidirect
224. #2589C22semidirect
225. #2587C22semidirect
226. #2585C22semidirect
227. #2585C22semidirect
228. #2585C22semidirect
229. #2583C22semidirect
230. #2583C22semidirect
231. #2582C22semidirect
236. #2577C22semidirect
237. #2577C22semidirect
238. #2577C22semidirect
239. #2577C22semidirect
240. #2574C22semidirect
241. #2561C22semidirect
245. #2556C22semidirect
246. #2556C22semidirect
247. #2549C22semidirect
251. #2546C22semidirect
253. #2533C22semidirect
254. #2533C22semidirect
255. #2532C22semidirect
256. #2532C22semidirect
257. #2532C22semidirect
258. #2532C22semidirect
259. #2532C22semidirect
260. #2529C22semidirect
261. #2529C22semidirect
262. #2527C22semidirect
263. #2524C22semidirect
264. #2524C22semidirect
265. #2523C22semidirect
266. #2523C22semidirect
267. #2522C22semidirect
268. #2522C22semidirect
269. #2522C22semidirect
272. #2519C22semidirect
273. #2519C22semidirect
274. #2517C22semidirect
275. #2515C22semidirect
276. #2514C22semidirect
277. #2511C22semidirect
279. #2505C22semidirect
280. #2505C22semidirect
281. #2495C22semidirect
282. #2495C22semidirect
283. #2494C22semidirect
284. #2492C22semidirect
286. #2482C22semidirect
290. #2480C22semidirect
291. #2480C22semidirect
292. #2480C22semidirect
293. #2480C22semidirect
294. #2480C22semidirect
295. #2480C22semidirect
296. #2478C22semidirect
297. #2478C22semidirect
300. #2475C22semidirect
302. #2473C22semidirect
309. #2465C22semidirect
310. #2465C22semidirect
311. #2465C22semidirect
318. #2451C22semidirect
319. #2451C22semidirect
325. #2446C22semidirect
326. #2442C22semidirect
327. #2441C22semidirect
328. #2440C22semidirect
329. #2439C22semidirect
330. #2437C22semidirect
331. #2437C22semidirect
332. #2429C22semidirect
333. #2423C22semidirect
334. #2423C22semidirect
339. #2401C22semidirect
340. #2399C22semidirect
342. C2×#399C22semidirect
343. #2382C22semidirect
347. #2373C22semidirect
350. #2365C22semidirect
351. #2365C22semidirect
352. #2365C22semidirect
353. #2362C22semidirect
354. #2360C22semidirect
355. #2360C22semidirect
356. #2360C22semidirect
359. #2355C22semidirect
362. #2345C22semidirect
364. #2336C22semidirect
366. #2334C22semidirect
367. #2334C22semidirect
368. #2330C22semidirect
369. #2323C22semidirect
370. #2323C22semidirect
373. #2315C22semidirect
374. #2312C22semidirect
375. C4×C4⋊Q8C22semidirect
376. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
#594372
#583762
#577572
#572802
#572572
#572332
#559202
#542032
#538122
#529552
#524262
#509762
#503292
#485242
#481082
#473492
#470072
#466572
#465952
#461632
#461542
#446712
#442772
#441022
#437012
#434462
#431212
#422862
#412062
#408312
#392002
#387912
#387682
#372562