Finite Group Databasebeta

← #9059233

Subgroups — #9059233

Order 512.

4516 conjugacy classes of subgroups.

The subgroup lattice has 2167 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59798C212yesmaximal, complemented
2#59798C211yesmaximal, characteristic, complemented
3#59621C211yesmaximal, characteristic, complemented
4#58580C212yesmaximal, complemented
5#57140C212yesmaximal, complemented
6#55032C212yesmaximal, complemented
7#54722C212yesmaximal, complemented
8#50255C211yesmaximal, characteristic, complemented
9#49703C211yesmaximal, characteristic, complemented
10#48948C212yesmaximal, complemented
11#48152C212yesmaximal, complemented
12#47755C212yesmaximal, complemented
13#47321C212yesmaximal, complemented
14#46967C212yesmaximal, complemented
15#46682C212yesmaximal, complemented
16#46561C212yesmaximal, complemented
17#46429C211yesmaximal, characteristic, complemented
18#46425C211yesmaximal, characteristic
19#45098C212yesmaximal, complemented
20#44812C212yesmaximal, complemented
21#44677C212yesmaximal, complemented
22#44542C212yesmaximal, complemented
23#44405C212yesmaximal, complemented
24#44133C212yesmaximal, complemented
25#43948C212yesmaximal, complemented
26#43849C212yesmaximal, complemented
27#43848C212yesmaximal, complemented
28#43789C212yesmaximal, complemented
29#43725C212yesmaximal, complemented
30#43394C212yesmaximal, complemented
31#35865C212yesmaximal, complemented
32#35797C212yesmaximal, complemented
33#35787C212yesmaximal, complemented
34#35618C211yesmaximal, characteristic, complemented
35#35459C212yesmaximal, complemented
36C2×#556C2212yes—
37C2×#544C2211yescharacteristic, complemented
38C2×#538C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#520C2211yescharacteristic, complemented
41#2829C2212yes—
42#2829C2212yes—
43#2829C2212yescomplemented
44#2824C2212yes—
45#2823C2212yes—
46#2816C2211yescharacteristic, complemented
47#2815C2211yescharacteristic
48#2809C2212yescomplemented
49#2809C2211yescharacteristic, complemented
50#2808C2212yes—
51#2803C2212yes—
52#2803C2212yes—
53#2803C2212yescomplemented
54#2800C2212yes—
55#2798C2212yes—
56#2797C2212yes—
57#2795C2212yes—
58#2795C2212yescomplemented
59#2793C2212yescomplemented
60#2791C2212yescomplemented
61#2790C2212yescomplemented
62#2790C2212yescomplemented
63#2783C2212yescomplemented
64#2781C2212yes—
65#2780C2212yes—
66#2779C2212yes—
67#2779C2212yescomplemented
68#2778C2212yes—
69#2775C2212yescomplemented
70#2772C2212yescomplemented
71#2771C2212yescomplemented
72#2767C2212yescomplemented
73#2762C2212yescomplemented
74#2761C2212yes—
75#2761C2212yescomplemented
76#2756C2212yes—
77#2756C2212yes—
78#2756C2212yes—
79#2753C2212yes—
80#2753C2212yes—
81#2752C2212yes—
82#2751C2212yes—
83#2749C2212yescomplemented
84#2748C2211yescharacteristic
85#2748C2211yescharacteristic
86#2746C2212yescomplemented
87#2745C2212yes—
88#2740C2212yes—
89#2740C2212yescomplemented
90#2738C2212yes—
91#2731C2212yes—
92#2731C2212yes—
93#2731C2211yescharacteristic, complemented
94#2730C2212yes—
95#2730C2212yes—
96#2730C2212yes—
97#2730C2212yes—
98#2729C2212yes—
99#2725C2212yescomplemented
100#2725C2212yescomplemented
101#2721C2212yes—
102#2721C2212yes—
103#2721C2212yescomplemented
104#2719C2212yescomplemented
105#2718C2212yes—
106#2718C2212yes—
107#2716C2212yes—
108#2715C2212yescomplemented
109#2714C2212yes—
110#2711C2212yes—
111#2711C2212yes—
112#2711C2212yes—
113#2711C2212yescomplemented
114#2710C2212yes—
115#2709C2212yes—
116#2709C2212yes—
117#2709C2211yescharacteristic, complemented
118#2705C2212yes—
119#2705C2212yes—
120#2702C2212yes—
121#2702C2212yes—
122#2702C2212yescomplemented
123#2697C2211yescharacteristic
124#2694C2212yes—
125#2694C2212yes—
126#2689C2212yes—
127#2689C2212yescomplemented
128#2686C2212yes—
129#2685C2212yes—
130#2685C2212yes—
131#2685C2212yes—
132#2685C2212yes—
133#2684C2211yescharacteristic
134#2684C2212yes—
135#2683C2211yescharacteristic, complemented
136#2681C2212yes—
137#2677C2212yescomplemented
138#2676C2212yes—
139#2673C2212yes—
140#2672C2212yes—
141#2672C2212yescomplemented
142#2669C2212yes—
143#2669C2212yes—
144#2653C2212yescomplemented
145#2648C2212yes—
146#2648C2212yes—
147#2648C2212yescomplemented
148#2641C2212yes—
149#2636C2212yes—
150#2636C2212yescomplemented
151#2630C2212yes—
152#2620C2212yes—
153#2609C2212yes—
154#2609C2212yescomplemented
155#2604C2212yes—
156#2604C2212yes—
157#2602C2212yes—
158#2601C2212yes—
159#2601C2212yes—
160#2601C2212yescomplemented
161#2601C2212yescomplemented
162#2597C2212yes—
163#2596C2212yes—
164#2596C2212yes—
165#2596C2212yes—
166#2595C2212yes—
167#2594C2212yes—
168#2591C2211yescharacteristic, complemented
169#2590C2212yescomplemented
170#2588C2212yescomplemented
171#2587C2212yescomplemented
172#2586C2212yescomplemented
173#2578C2212yescomplemented
174#2576C2212yes—
175#2576C2212yes—
176#2576C2212yes—
177#2575C2212yes—
178#2575C2212yes—
179#2574C2212yes—
180#2574C2212yes—
181#2566C2212yescomplemented
182#2565C2212yescomplemented
183#2562C2212yes—
184#2560C2212yes—
185#2560C2212yes—
186#2560C2212yescomplemented
187#2560C2212yescomplemented
188#2560C2212yescomplemented
189#2559C2212yes—
190#2559C2212yes—
191#2559C2212yes—
192#2559C2212yes—
193#2559C2212yes—
194#2559C2212yescomplemented
195#2558C2212yes—
196#2558C2212yescomplemented
197#2556C2212yescomplemented
198#2554C2212yes—
199#2554C2212yes—
200#2554C2212yes—
201#2554C2212yes—
202#2554C2212yes—
203#2554C2212yescomplemented
204#2554C2212yescomplemented
205#2553C2212yes—
206#2553C2212yes—
207#2552C2212yescomplemented
208#2544C2212yes—
209#2541C2212yes—
210#2539C2211yescharacteristic
211#2538C2212yescomplemented
212#2534C2212yes—
213#2533C2212yescomplemented
214#2533C2212yescomplemented
215#2532C2212yes—
216#2532C2212yes—
217#2531C2212yes—
218#2529C2212yes—
219#2529C2212yescomplemented
220#2529C2212yescomplemented
221#2529C2212yescomplemented
222#2528C2212yescomplemented
223#2528C2212yescomplemented
224#2527C2212yescomplemented
225#2526C2212yes—
226#2526C2212yescomplemented
227#2526C2212yescomplemented
228#2526C2212yescomplemented
229#2525C2212yes—
230#2524C2212yescomplemented
231#2522C2212yes—
232#2520C2212yescomplemented
233#2519C2212yes—
234#2519C2212yes—
235#2519C2212yes—
236#2519C2212yes—
237#2518C2212yes—
238#2517C2212yescomplemented
239#2516C2212yes—
240#2516C2212yes—
241#2515C2212yescomplemented
242#2513C2212yescomplemented
243#2512C2212yes—
244#2508C2212yescomplemented
245#2505C2212yescomplemented
246#2504C2212yes—
247#2503C2212yescomplemented
248#2500C2212yes—
249#2499C2212yescomplemented
250#2496C2212yes—
251#2493C2212yescomplemented
252#2492C2212yes—
253#2491C2212yes—
254#2489C2212yescomplemented
255#2488C2212yes—
256#2488C2212yes—
257#2481C2212yes—
258#2481C2212yescomplemented
259#2480C2212yes—
260#2476C2212yes—
261#2476C2212yes—
262#2476C2212yescomplemented
263#2473C2212yescomplemented
264#2472C2212yes—
265#2470C2212yes—
266#2468C2212yes—
267#2467C2212yes—
268#2467C2212yescomplemented
269#2466C2212yes—
270#2464C2212yes—
271#2463C2212yes—
272#2463C2212yes—
273#2463C2212yescomplemented
274#2461C2212yes—
275#2460C2212yescomplemented
276#2459C2212yes—
277#2459C2212yes—
278#2459C2212yescomplemented
279#2457C2212yes—
280#2457C2212yes—
281#2457C2212yes—
282#2457C2212yescomplemented
283#2456C2212yes—
284#2449C2212yes—
285#2449C2212yescomplemented
286#2448C2212yes—
287#2446C2212yescomplemented
288#2446C2212yescomplemented
289#2445C2212yes—
290#2445C2212yes—
291#2445C2212yescomplemented
292#2444C2212yes—
293#2444C2212yes—
294#2444C2212yes—
295#2444C2212yescomplemented
296#2444C2212yescomplemented
297#2443C2212yes—
298#2441C2212yes—
299#2439C2212yescomplemented
300#2432C2211yescharacteristic
301#2432C2212yescomplemented
302#2431C2211yescharacteristic
303#2431C2212yes—
304#2425C2212yes—
305#2425C2212yescomplemented
306#2421C2212yes—
307#2421C2212yescomplemented
308#2421C2212yescomplemented
309#2420C2212yes—
310#2420C2212yescomplemented
311#2419C2212yescomplemented
312#2418C2212yes—
313#2418C2212yes—
314#2417C2212yescomplemented
315#2415C2212yes—
316#2406C2211yescharacteristic
317#2404C2211yescharacteristic
318#2402C2212yescomplemented
319#2401C2212yescomplemented
320#2398C2212yes—
321#2396C2212yescomplemented
322#2392C2212yes—
323#2392C2212yes—
324#2392C2212yescomplemented
325#2376C2211yescharacteristic, complemented
326#2375C2211yescharacteristic
327#2374C2212yes—
328#2374C2211yescharacteristic
329#2374C2212yes—
330#2374C2212yescomplemented
331#2374C2212yescomplemented
332#2373C2212yes—
333#2373C2212yescomplemented
334#2373C2212yescomplemented
335#2372C2211yescharacteristic
336#2372C2212yes—
337#2372C2211yescharacteristic, complemented
338#2371C2212yescomplemented
339#2370C2212yescomplemented
340#2369C2212yescomplemented
341#2369C2211yescharacteristic, complemented
342#2367C2212yescomplemented
343#2366C2212yes—
344#2366C2212yes—
345#2366C2211yescharacteristic, complemented
346#2361C2212yes—
347#2360C2212yescomplemented
348#2359C2212yes—
349#2358C2211yescharacteristic
350#2357C2212yes—
351#2355C2212yescomplemented
352#2354C2212yescomplemented
353#2353C2212yescomplemented
354#2352C2212yes—
355#2342C2212yes—
356#2336C2212yescomplemented
357#2334C2212yes—
358#2334C2212yes—
359#2334C2212yescomplemented
360#2333C2212yescomplemented
361#2332C2211yescharacteristic
362#2332C2212yescomplemented
363#2332C2211yescharacteristic, complemented
364#2329C2212yescomplemented
365#2326C2212yes—
366#2325C2212yes—
367#2323C2212yescomplemented
368#2321C2212yes—
369#2319C2212yes—
370#2318C2212yes—
371#2317C2211yescharacteristic, complemented
372#2311C2211yescharacteristic
373C4×#123C2212yes—
374C4×#123C2212yescomplemented
375#2297C2211yescharacteristic
376#2297C2211yescharacteristic, complemented
377C2×#382C2211yescharacteristic, complemented
378#2275C2212yescomplemented
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381#556—48no—
382#544—44no—
383#538—44no—
384#537—44no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2312yes—
388C2×#127C2312yes—
389C2×#127C2312yes—
390C2×#127C2311yescharacteristic
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2311yescharacteristic
412C2×#124C2311yescharacteristic
413C2×#123C2312yes—
414C2×#123C2311yescharacteristic
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2311yescharacteristic
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#120C2312yes—
445C2×#120C2311yescharacteristic
446C2×#120C2311yescharacteristic
447C2×#120C2312yes—
448#520—44no—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×#117C2311yescharacteristic
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2311yescharacteristic
478C22×C42C2311yescharacteristic
479#401C2312yes—
480#401C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
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#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
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#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
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#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2312yes—
696#391C2311yescharacteristic
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2311yescharacteristic
724#390C2311yescharacteristic
725#390C2312yes—
726#390C2311yescharacteristic
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
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#387C2312yes—
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#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2311yescharacteristic
920#386C2311yescharacteristic
921#386C2311yescharacteristic
922#386C2311yescharacteristic
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2311yescharacteristic
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2311yescharacteristic
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2311yescharacteristic
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2311yescharacteristic
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
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#384C2312yes—
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#381C2311yescharacteristic
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2311yescharacteristic
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#379C2312yes—
1036#379C2312yes—
1037#379C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2311yescharacteristic
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C2×#41—24no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C2×#41—42no—
1108C2×#41—42no—
1109C2×#41—42no—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2411yescharacteristic
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2411yescharacteristic
1133C22×D4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2411yescharacteristic
1148C23×C4C2412yes—
1149C23×C4C2411yescharacteristic
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C4⋊Q8—28no—
1153C4⋊Q8—42no—
1154C4⋊Q8—44no—
1155#127—44no—
1156#127—42no—
1157#127—44no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—44no—
1162#126—44no—
1163#126—44no—
1164#126—44no—
1165#126—44no—
1166#126—44no—
1167#126—44no—
1168#126—44no—
1169#125—44no—
1170#125—44no—
1171#125—44no—
1172#125—44no—
1173#125—44no—
1174#124—28no—
1175#124—44no—
1176#124—44no—
1177#124—42no—
1178#124—44no—
1179#124—42no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—42no—
1185#123—44no—
1186#123—42no—
1187#123—44no—
1188#123—44no—
1189#123—44no—
1190C22⋊Q8—24no—
1191C22⋊Q8—24no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—42no—
1201#121—44no—
1202#121—44no—
1203#121—42no—
1204#121—44no—
1205#121—44no—
1206#121—44no—
1207#121—44no—
1208#121—44no—
1209#121—42no—
1210#121—42no—
1211#120—42no—
1212#120—44no—
1213#120—44no—
1214#120—42no—
1215C4×Q8—28no—
1216C4×Q8—44no—
1217C4×Q8—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—44no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—44no—
1232#117—42no—
1233#117—42no—
1234#117—44no—
1235#117—44no—
1236#117—44no—
1237#117—44no—
1238C2×C4⋊C4—44no—
1239C2×C4⋊C4—42no—
1240C2×C4⋊C4—42no—
1241C2×C4⋊C4—42no—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C22⋊C4—44no—
1319C2×C22⋊C4—42no—
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⋊C4C2411yescharacteristic
1349C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1366C2×C22⋊C4C2411yescharacteristic
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2411yescharacteristic
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C42—42no—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2411yescharacteristic
1444C2×C42C2412yes—
1445C2×C42C2411yescharacteristic
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2411yescharacteristic
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545C24—42no—
1546C24—41no—
1547C24—41no—
1548C24—42no—
1549C24—41no—
1550C24C2512yes—
1551C24C2511yescharacteristic
1552C24C2512yes—
1553C24C2511yescharacteristic
1554C24C2512yes—
1555C24C2511yescharacteristic
1556#41—416no—
1557#41—88no—
1558C2×Q8—24no—
1559C2×Q8—24no—
1560C2×Q8—22no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—42no—
1564C2×Q8—41no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—41no—
1569C2×Q8—41no—
1570C2×Q8—41no—
1571C2×Q8—41no—
1572C2×Q8H(5,𝔽2)14yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—22no—
1577C2×D4—22no—
1578C2×D4—24no—
1579C2×D4—22no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—22no—
1584C2×D4—24no—
1585C2×D4—42no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—41no—
1598C2×D4—41no—
1599C2×D4—41no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—41no—
1613C2×D4—41no—
1614C2×D4—41no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—41no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—41no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—22no—
1633C22×C4—24no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—22no—
1638C22×C4—22no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—41no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—41no—
1650C22×C4—41no—
1651C22×C4—41no—
1652C22×C4—41no—
1653C22×C4—41no—
1654C22×C4—42no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—41no—
1659C22×C4—42no—
1660C22×C4—41no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—41no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—41no—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2511yescharacteristic
1706C22×C4C2512yes—
1707C22×C4C2511yescharacteristic
1708C22×C4C2512yes—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—22no—
1714C4⋊C4—22no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—41no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—41no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—41no—
1808C22⋊C4—41no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—41no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—41no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—41no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—41no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C42—24no—
1880C42—24no—
1881C42—24no—
1882C42—24no—
1883C42—24no—
1884C42—24no—
1885C42—24no—
1886C42—41no—
1887C42—41no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—41no—
1903C42—41no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—41no—
1911C42—42no—
1912C42—41no—
1913C23—21no—
1914C23—22no—
1915C23—21no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—21no—
1920C23—21no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—21no—
1936C23—21no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—21no—
1945C23—22no—
1946C23—21no—
1947C23—22no—
1948C23—82no—
1949C23—84no—
1950C23—161no—
1951C23—161no—
1952C23—162no—
1953C23#58512yes—
1954C23C2611yescharacteristic
1955Q8—44no—
1956Q8—84no—
1957Q8—84no—
1958Q8—82no—
1959Q8—161no—
1960D4—48no—
1961D4—48no—
1962D4—44no—
1963D4—84no—
1964D4—84no—
1965D4—84no—
1966D4—82no—
1967D4—84no—
1968D4—82no—
1969D4—82no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—162no—
1975D4—162no—
1976D4—162no—
1977D4—161no—
1978D4—162no—
1979C2×C4—28no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—21no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—21no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—44no—
2063C2×C4—48no—
2064C2×C4—84no—
2065C2×C4—84no—
2066C2×C4—82no—
2067C2×C4—82no—
2068C2×C4—84no—
2069C2×C4—161no—
2070C2×C4—162no—
2071C2×C4—162no—
2072C2×C4—161no—
2073C2×C4—161no—
2074C2×C4—162no—
2075C2×C4—162no—
2076C2×C4—161no—
2077C2×C4—162no—
2078C2×C4—162no—
2079C2×C4C2×H(5,𝔽2)14yes—
2080C2×C4C2×H(5,𝔽2)12yes—
2081C2×C4#58512yes—
2082C2×C4#58514yes—
2083C2×C4#58514yes—
2084C22—22no—
2085C22—24no—
2086C22—41no—
2087C22—42no—
2088C22—41no—
2089C22—41no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—41no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—41no—
2103C22—42no—
2104C22—41no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—41no—
2109C22—41no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—164no—
2121C22C22×H(5,𝔽2)11yescharacteristic
2122C22C2×#58512yes—
2123C22C2×#58511yescharacteristic
2124C22C2×#58512yes—
2125C22C2×#58511yescharacteristic
2126C4—24no—
2127C4—22no—
2128C4—22no—
2129C4—24no—
2130C4—24no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—41no—
2147C4—41no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C2—42no—
2156C2—81no—
2157C2—82no—
2158C2—82no—
2159C2—82no—
2160C2—81no—
2161C2#6282011yescharacteristic
2162C2#6282812yes—
2163C2#6302011yescharacteristic
2164C2#6303112yes—
2165C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#46425C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59798C2semidirect
2. #59798C2semidirect
3. #59621C2semidirect
4. #58580C2semidirect
5. #57140C2semidirect
6. #55032C2semidirect
7. #54722C2semidirect
8. #50255C2semidirect
9. #49703C2semidirect
10. #48948C2semidirect
11. #48152C2semidirect
12. #47755C2semidirect
13. #47321C2semidirect
14. #46967C2semidirect
15. #46682C2semidirect
16. #46561C2semidirect
17. #46429C2semidirect
19. #45098C2semidirect
20. #44812C2semidirect
21. #44677C2semidirect
22. #44542C2semidirect
23. #44405C2semidirect
24. #44133C2semidirect
25. #43948C2semidirect
26. #43849C2semidirect
27. #43848C2semidirect
28. #43789C2semidirect
29. #43725C2semidirect
30. #43394C2semidirect
31. #35865C2semidirect
32. #35797C2semidirect
33. #35787C2semidirect
34. #35618C2semidirect
35. #35459C2semidirect
37. C2×#544C22semidirect
40. C2×#520C22semidirect
43. #2829C22semidirect
46. #2816C22semidirect
48. #2809C22semidirect
49. #2809C22semidirect
53. #2803C22semidirect
58. #2795C22semidirect
59. #2793C22semidirect
60. #2791C22semidirect
61. #2790C22semidirect
62. #2790C22semidirect
63. #2783C22semidirect
67. #2779C22semidirect
69. #2775C22semidirect
70. #2772C22semidirect
71. #2771C22semidirect
72. #2767C22semidirect
73. #2762C22semidirect
75. #2761C22semidirect
83. #2749C22semidirect
86. #2746C22semidirect
89. #2740C22semidirect
93. #2731C22semidirect
99. #2725C22semidirect
100. #2725C22semidirect
103. #2721C22semidirect
104. #2719C22semidirect
108. #2715C22semidirect
113. #2711C22semidirect
117. #2709C22semidirect
122. #2702C22semidirect
127. #2689C22semidirect
135. #2683C22semidirect
137. #2677C22semidirect
141. #2672C22semidirect
144. #2653C22semidirect
147. #2648C22semidirect
150. #2636C22semidirect
154. #2609C22semidirect
160. #2601C22semidirect
161. #2601C22semidirect
168. #2591C22semidirect
169. #2590C22semidirect
170. #2588C22semidirect
171. #2587C22semidirect
172. #2586C22semidirect
173. #2578C22semidirect
181. #2566C22semidirect
182. #2565C22semidirect
186. #2560C22semidirect
187. #2560C22semidirect
188. #2560C22semidirect
194. #2559C22semidirect
196. #2558C22semidirect
197. #2556C22semidirect
203. #2554C22semidirect
204. #2554C22semidirect
207. #2552C22semidirect
211. #2538C22semidirect
213. #2533C22semidirect
214. #2533C22semidirect
219. #2529C22semidirect
220. #2529C22semidirect
221. #2529C22semidirect
222. #2528C22semidirect
223. #2528C22semidirect
224. #2527C22semidirect
226. #2526C22semidirect
227. #2526C22semidirect
228. #2526C22semidirect
230. #2524C22semidirect
232. #2520C22semidirect
238. #2517C22semidirect
241. #2515C22semidirect
242. #2513C22semidirect
244. #2508C22semidirect
245. #2505C22semidirect
247. #2503C22semidirect
249. #2499C22semidirect
251. #2493C22semidirect
254. #2489C22semidirect
258. #2481C22semidirect
262. #2476C22semidirect
263. #2473C22semidirect
268. #2467C22semidirect
273. #2463C22semidirect
275. #2460C22semidirect
278. #2459C22semidirect
282. #2457C22semidirect
285. #2449C22semidirect
287. #2446C22semidirect
288. #2446C22semidirect
291. #2445C22semidirect
295. #2444C22semidirect
296. #2444C22semidirect
299. #2439C22semidirect
301. #2432C22semidirect
305. #2425C22semidirect
307. #2421C22semidirect
308. #2421C22semidirect
310. #2420C22semidirect
311. #2419C22semidirect
314. #2417C22semidirect
318. #2402C22semidirect
319. #2401C22semidirect
321. #2396C22semidirect
324. #2392C22semidirect
325. #2376C22semidirect
330. #2374C22semidirect
331. #2374C22semidirect
333. #2373C22semidirect
334. #2373C22semidirect
337. #2372C22semidirect
338. #2371C22semidirect
339. #2370C22semidirect
340. #2369C22semidirect
341. #2369C22semidirect
342. #2367C22semidirect
345. #2366C22semidirect
347. #2360C22semidirect
351. #2355C22semidirect
352. #2354C22semidirect
353. #2353C22semidirect
356. #2336C22semidirect
359. #2334C22semidirect
360. #2333C22semidirect
362. #2332C22semidirect
363. #2332C22semidirect
364. #2329C22semidirect
367. #2323C22semidirect
371. #2317C22semidirect
374. C4×#123C22semidirect
376. #2297C22semidirect
377. C2×#382C22semidirect
378. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#597982
#596212
#585802
#571402
#550322
#547222
#502552
#497032
#489482
#481522
#477552
#473212
#469672
#466822
#465612
#464292
#464252
#450982
#448122
#446772
#445422
#444052
#441332
#439482
#438492
#438482
#437892
#437252
#433942
#358652
#357972
#357872
#356182
#354592