Finite Group Databasebeta

← #8359203

Subgroups — #8359203

Order 512.

4720 conjugacy classes of subgroups.

The subgroup lattice has 2208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59107C211yesmaximal, characteristic, complemented
2#59070C211yesmaximal, characteristic, complemented
3#58967C212yesmaximal, complemented
4#58086C212yesmaximal, complemented
5#57936C212yesmaximal, complemented
6#56476C212yesmaximal, complemented
7#55843C212yesmaximal, complemented
8#55183C212yesmaximal, complemented
9#54662C212yesmaximal, complemented
10#53984C212yesmaximal, complemented
11#52496C212yesmaximal, complemented
12#51483C212yesmaximal, complemented
13#50889C212yesmaximal, complemented
14#48867C212yesmaximal, complemented
15#47849C212yesmaximal, complemented
16#46310C211yesmaximal, characteristic, complemented
17#45441C211yesmaximal, characteristic, complemented
18#44127C212yesmaximal, complemented
19#43412C212yesmaximal, complemented
20#43218C212yesmaximal, complemented
21#41987C212yesmaximal, complemented
22#41220C212yesmaximal, complemented
23#41133C212yesmaximal, complemented
24#40978C212yesmaximal, complemented
25#40960C212yesmaximal, complemented
26#40744C212yesmaximal, complemented
27#40520C212yesmaximal, complemented
28#38644C212yesmaximal, complemented
29#37998C212yesmaximal, complemented
30#37788C212yesmaximal, complemented
31#36819C211yesmaximal, characteristic, complemented
32#36223C212yesmaximal, complemented
33#35699C212yesmaximal, complemented
34#35441C211yesmaximal, characteristic, complemented
35#34633C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic, complemented
37C2×#560C2211yescharacteristic
38C2×#559C2211yescharacteristic, complemented
39C2×#552C2212yes—
40C2×#551C2211yescharacteristic
41C2×#538C2212yes—
42C2×#532C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C22×#117C2211yescharacteristic
46#2852C2212yes—
47#2851C2212yes—
48#2849C2212yes—
49#2841C2212yescomplemented
50#2837C2212yescomplemented
51#2836C2212yescomplemented
52#2836C2212yescomplemented
53#2836C2212yescomplemented
54#2836C2212yescomplemented
55#2831C2212yescomplemented
56#2831C2212yescomplemented
57#2830C2212yescomplemented
58#2827C2212yes—
59#2827C2212yescomplemented
60#2826C2212yescomplemented
61#2820C2212yescomplemented
62#2818C2212yescomplemented
63#2814C2212yes—
64#2812C2212yes—
65#2800C2212yescomplemented
66#2799C2212yescomplemented
67#2797C2212yescomplemented
68#2794C2212yescomplemented
69#2792C2212yescomplemented
70#2791C2212yescomplemented
71#2791C2212yescomplemented
72#2790C2212yescomplemented
73#2790C2212yescomplemented
74#2790C2212yescomplemented
75#2788C2212yescomplemented
76#2786C2212yes—
77#2786C2212yescomplemented
78#2780C2212yescomplemented
79#2780C2212yescomplemented
80#2779C2212yes—
81#2777C2212yescomplemented
82#2775C2212yescomplemented
83#2772C2212yescomplemented
84#2770C2212yes—
85#2769C2212yescomplemented
86#2768C2212yescomplemented
87#2766C2212yescomplemented
88#2762C2212yescomplemented
89#2761C2212yescomplemented
90#2757C2212yes—
91#2755C2212yescomplemented
92#2755C2212yescomplemented
93#2750C2212yes—
94#2750C2212yes—
95#2749C2212yes—
96#2748C2212yescomplemented
97#2748C2212yescomplemented
98#2746C2212yes—
99#2746C2212yes—
100#2743C2212yes—
101#2743C2212yescomplemented
102#2740C2212yes—
103#2733C2211yescharacteristic, complemented
104#2731C2211yescharacteristic, complemented
105#2730C2212yes—
106#2730C2212yes—
107#2730C2212yescomplemented
108#2730C2212yescomplemented
109#2730C2212yescomplemented
110#2726C2212yescomplemented
111#2724C2211yescharacteristic
112#2724C2212yes—
113#2724C2211yescharacteristic
114#2722C2212yes—
115#2722C2212yescomplemented
116#2721C2212yescomplemented
117#2721C2212yescomplemented
118#2720C2212yescomplemented
119#2718C2212yes—
120#2718C2212yes—
121#2718C2212yescomplemented
122#2717C2212yes—
123#2717C2211yescharacteristic
124#2717C2211yescharacteristic, complemented
125#2717C2212yescomplemented
126#2717C2211yescharacteristic, complemented
127#2715C2212yes—
128#2715C2212yes—
129#2715C2212yescomplemented
130#2714C2212yes—
131#2713C2212yescomplemented
132#2711C2212yes—
133#2710C2212yes—
134#2710C2212yes—
135#2709C2211yescharacteristic
136#2708C2212yes—
137#2708C2212yes—
138#2707C2212yescomplemented
139#2707C2212yescomplemented
140#2706C2212yes—
141#2706C2212yes—
142#2706C2212yescomplemented
143#2705C2212yescomplemented
144#2704C2212yescomplemented
145#2702C2212yes—
146#2700C2212yes—
147#2698C2212yes—
148#2698C2212yes—
149#2695C2212yes—
150#2694C2212yes—
151#2694C2212yescomplemented
152#2693C2212yes—
153#2691C2212yes—
154#2691C2212yes—
155#2691C2212yes—
156#2690C2212yes—
157#2690C2212yes—
158#2689C2212yes—
159#2688C2212yes—
160#2688C2212yes—
161#2687C2212yescomplemented
162#2686C2212yes—
163#2682C2212yes—
164#2682C2212yes—
165#2682C2212yes—
166#2680C2212yes—
167#2680C2212yes—
168#2676C2212yes—
169#2673C2212yes—
170#2672C2212yes—
171#2672C2212yes—
172#2671C2212yes—
173#2667C2212yescomplemented
174#2666C2212yescomplemented
175#2662C2212yescomplemented
176#2661C2212yes—
177#2652C2212yescomplemented
178#2652C2212yescomplemented
179#2652C2212yescomplemented
180#2651C2212yescomplemented
181#2649C2212yes—
182#2644C2212yescomplemented
183#2643C2212yescomplemented
184#2638C2212yes—
185#2637C2212yescomplemented
186#2633C2212yescomplemented
187#2631C2212yes—
188#2630C2212yes—
189#2630C2212yescomplemented
190#2629C2212yescomplemented
191#2624C2212yes—
192#2622C2212yes—
193#2621C2212yes—
194#2620C2212yes—
195#2620C2212yes—
196#2619C2212yes—
197#2618C2212yes—
198#2618C2212yes—
199#2617C2212yes—
200#2617C2212yes—
201#2617C2212yes—
202#2612C2212yescomplemented
203#2612C2212yescomplemented
204#2611C2212yes—
205#2610C2212yes—
206#2610C2212yescomplemented
207#2609C2212yes—
208#2608C2211yescharacteristic, complemented
209#2607C2211yescharacteristic, complemented
210#2605C2212yescomplemented
211#2603C2212yescomplemented
212#2601C2212yes—
213#2600C2212yes—
214#2600C2212yes—
215#2599C2212yes—
216#2598C2212yes—
217#2596C2212yescomplemented
218#2595C2212yes—
219#2595C2212yescomplemented
220#2591C2211yescharacteristic, complemented
221#2589C2212yescomplemented
222#2587C2212yescomplemented
223#2587C2212yescomplemented
224#2587C2212yescomplemented
225#2586C2212yescomplemented
226#2585C2212yescomplemented
227#2585C2212yescomplemented
228#2583C2211yescharacteristic, complemented
229#2578C2212yes—
230#2577C2212yes—
231#2576C2212yescomplemented
232#2567C2212yescomplemented
233#2562C2212yes—
234#2560C2212yes—
235#2557C2212yes—
236#2555C2212yes—
237#2553C2212yes—
238#2553C2212yes—
239#2552C2212yescomplemented
240#2549C2212yes—
241#2549C2212yescomplemented
242#2544C2212yes—
243#2543C2212yes—
244#2535C2212yes—
245#2531C2212yes—
246#2531C2212yes—
247#2530C2212yes—
248#2530C2212yes—
249#2527C2212yes—
250#2526C2212yescomplemented
251#2525C2212yescomplemented
252#2523C2212yes—
253#2521C2212yes—
254#2520C2212yescomplemented
255#2499C2212yes—
256#2498C2212yes—
257#2497C2212yescomplemented
258#2496C2212yes—
259#2485C2212yes—
260#2485C2212yescomplemented
261#2484C2212yes—
262#2481C2212yes—
263#2479C2212yes—
264#2478C2212yes—
265#2478C2212yes—
266#2478C2212yes—
267#2477C2212yes—
268#2476C2212yes—
269#2475C2212yes—
270#2475C2212yes—
271#2475C2212yes—
272#2474C2212yes—
273#2474C2212yescomplemented
274#2473C2212yes—
275#2473C2212yes—
276#2471C2212yescomplemented
277#2471C2212yescomplemented
278#2470C2212yes—
279#2468C2212yes—
280#2468C2212yes—
281#2467C2212yes—
282#2467C2212yescomplemented
283#2466C2212yes—
284#2466C2212yes—
285#2466C2212yes—
286#2464C2212yes—
287#2463C2212yescomplemented
288#2460C2212yescomplemented
289#2460C2212yescomplemented
290#2460C2212yescomplemented
291#2459C2212yescomplemented
292#2457C2212yes—
293#2457C2212yes—
294#2457C2212yescomplemented
295#2456C2212yes—
296#2456C2212yes—
297#2456C2212yes—
298#2456C2212yescomplemented
299#2455C2212yes—
300#2450C2212yes—
301#2449C2212yes—
302#2449C2212yes—
303#2449C2212yes—
304#2447C2212yes—
305#2447C2212yescomplemented
306#2447C2212yescomplemented
307#2444C2212yes—
308#2444C2212yes—
309#2443C2212yes—
310#2443C2212yes—
311#2443C2212yes—
312#2443C2212yes—
313#2440C2212yes—
314#2438C2212yes—
315#2438C2212yes—
316#2438C2212yescomplemented
317#2437C2212yes—
318#2432C2211yescharacteristic
319#2431C2211yescharacteristic
320#2427C2212yes—
321#2427C2212yes—
322#2425C2212yes—
323#2425C2212yes—
324#2425C2212yes—
325#2422C2212yes—
326#2422C2212yes—
327#2422C2212yes—
328#2420C2212yes—
329#2419C2212yes—
330#2415C2212yes—
331#2413C2212yes—
332#2412C2212yes—
333#2412C2212yes—
334#2407C2212yes—
335#2406C2211yescharacteristic
336#2406C2211yescharacteristic
337#2406C2212yes—
338#2392C2212yes—
339#2392C2212yes—
340#2392C2212yes—
341#2392C2212yes—
342#2392C2212yes—
343#2392C2212yes—
344#2381C2211yescharacteristic, complemented
345#2375C2211yescharacteristic
346#2373C2212yescomplemented
347#2370C2212yescomplemented
348#2366C2211yescharacteristic, complemented
349#2361C2212yes—
350#2359C2212yes—
351#2359C2212yes—
352#2358C2211yescharacteristic
353#2358C2212yes—
354#2353C2212yescomplemented
355D4×C4⋊C4C2212yes—
356D4×C4⋊C4C2212yes—
357D4×C4⋊C4C2212yescomplemented
358D4×C4⋊C4C2212yescomplemented
359#2345C2212yescomplemented
360#2344C2212yes—
361#2343C2212yes—
362#2342C2212yes—
363#2337C2212yescomplemented
364#2335C2212yescomplemented
365#2334C2212yescomplemented
366#2333C2211yescharacteristic, complemented
367#2332C2211yescharacteristic, complemented
368#2322C2212yescomplemented
369#2321C2212yes—
370#2320C2212yescomplemented
371#2313C2211yescharacteristic, complemented
372C4×C22⋊Q8C2212yes—
373#2297C2211yescharacteristic
374#2297C2211yescharacteristic
375#2290C2212yes—
376C2×#385C2212yes—
377#2285C2211yescharacteristic
378#2274C2211yescharacteristic, complemented
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C24×C4C2311yescharacteristic
382#563—44no—
383#560—44no—
384#559—44no—
385#552—48no—
386#551—44no—
387#538—48no—
388#532—44no—
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2311yescharacteristic
391C2×#127C2311yescharacteristic
392C2×#127C2311yescharacteristic
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2311yescharacteristic
410C2×#124C2311yescharacteristic
411C2×#124C2311yescharacteristic
412C2×#124C2311yescharacteristic
413C2×#124C2312yes—
414C2×#124C2312yes—
415#525—44no—
416#525—44no—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2311yescharacteristic
423C2×#123C2312yes—
424C2×#123C2311yescharacteristic
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2311yescharacteristic
428C2×#123C2311yescharacteristic
429C2×#123C2311yescharacteristic
430C2×#123C2312yes—
431C2×#123C2311yescharacteristic
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#120C2312yes—
459C2×#120C2312yes—
460C2×#120C2311yescharacteristic
461C2×#120C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×#117—44no—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2311yescharacteristic
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C22⋊C4C2312yes—
499C22×C22⋊C4C2312yes—
500C22×C22⋊C4C2312yes—
501C22×C42C2311yescharacteristic
502C22×C42C2311yescharacteristic
503#401C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#394C2312yes—
710#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2311yescharacteristic
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2311yescharacteristic
750#391C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2311yescharacteristic
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2311yescharacteristic
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#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#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
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#386C2311yescharacteristic
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2311yescharacteristic
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2311yescharacteristic
959#386C2312yes—
960#386C2312yes—
961#386C2311yescharacteristic
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
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#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#384C2312yes—
1020#384C2312yes—
1021#384C2312yes—
1022#384C2312yes—
1023#384C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2311yescharacteristic
1037#381C2311yescharacteristic
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#379C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2311yescharacteristic
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2311yescharacteristic
1091C4×C22⋊C4C2311yescharacteristic
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2311yescharacteristic
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2311yescharacteristic
1101C4×C22⋊C4C2312yes—
1102#376C2312yes—
1103#376C2312yes—
1104#376C2312yes—
1105C2×#95C2312yes—
1106C2×#95C2312yes—
1107C2×#95C2312yes—
1108C25C2411yescharacteristic
1109C2×#41—42no—
1110C2×#41—42no—
1111C2×#41—42no—
1112C2×#41—42no—
1113C2×#41—42no—
1114C2×#41—42no—
1115C22×Q8C2412yes—
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C22×D4C2411yescharacteristic
1132C22×D4C2411yescharacteristic
1133C22×D4C2411yescharacteristic
1134C22×D4C2412yes—
1135C22×D4C2411yescharacteristic
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C23×C4—24no—
1140C23×C4—42no—
1141C23×C4—42no—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2411yescharacteristic
1151C23×C4C2412yes—
1152C23×C4C2411yescharacteristic
1153C23×C4C2411yescharacteristic
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2411yescharacteristic
1158C23×C4C2412yes—
1159C23×C4C2411yescharacteristic
1160C23×C4C2411yescharacteristic
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C23×C4C2412yes—
1164C4⋊Q8—24no—
1165C4⋊Q8—42no—
1166#127—24no—
1167#127—42no—
1168#126—28no—
1169#126—44no—
1170#126—44no—
1171#126—44no—
1172#126—44no—
1173#126—44no—
1174#126—44no—
1175#126—44no—
1176#125—44no—
1177#125—44no—
1178#125—44no—
1179#125—44no—
1180#125—44no—
1181#124—44no—
1182#124—42no—
1183#124—42no—
1184#124—44no—
1185#124—44no—
1186#124—44no—
1187#124—44no—
1188#124—42no—
1189#124—42no—
1190#123—44no—
1191#123—44no—
1192#123—44no—
1193#123—44no—
1194#123—44no—
1195#123—44no—
1196#123—42no—
1197#123—44no—
1198#123—42no—
1199#123—44no—
1200#123—44no—
1201#123—44no—
1202#123—42no—
1203#123—44no—
1204#123—42no—
1205#123—44no—
1206#123—42no—
1207#123—44no—
1208#123—42no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—44no—
1212C22⋊Q8—44no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—42no—
1219#121—42no—
1220#121—44no—
1221#121—44no—
1222#121—44no—
1223#121—44no—
1224#121—44no—
1225#121—44no—
1226#121—44no—
1227#121—44no—
1228#121—44no—
1229#121—44no—
1230#121—44no—
1231#120—28no—
1232#120—24no—
1233#120—24no—
1234#120—28no—
1235C4×Q8—28no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—44no—
1239C4×D4—44no—
1240C4×D4—44no—
1241C4×D4—44no—
1242C4×D4—44no—
1243C4×D4—44no—
1244C4×D4—44no—
1245C4×D4—44no—
1246C4×D4—44no—
1247C4×D4—44no—
1248C4×D4—44no—
1249C4×D4—44no—
1250C4×D4—44no—
1251C4×D4—44no—
1252C4×D4—44no—
1253C4×D4—44no—
1254#117—28no—
1255#117—44no—
1256#117—44no—
1257#117—44no—
1258#117—44no—
1259#117—44no—
1260#117—44no—
1261#117—42no—
1262#117—42no—
1263#117—44no—
1264C2×C4⋊C4—42no—
1265C2×C4⋊C4—44no—
1266C2×C4⋊C4—44no—
1267C2×C4⋊C4—42no—
1268C2×C4⋊C4—44no—
1269C2×C4⋊C4—44no—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊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×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C22⋊C4—28no—
1353C2×C22⋊C4—44no—
1354C2×C22⋊C4—44no—
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⋊C4C2411yescharacteristic
1365C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2411yescharacteristic
1420C2×C22⋊C4C2411yescharacteristic
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2411yescharacteristic
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C42—24no—
1446C2×C42—42no—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2411yescharacteristic
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2412yes—
1456C2×C42C2411yescharacteristic
1457C2×C42C2411yescharacteristic
1458C2×C42C2412yes—
1459C2×C42C2411yescharacteristic
1460C2×C42C2411yescharacteristic
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2411yescharacteristic
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
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—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571C24—41no—
1572C24—42no—
1573C24—41no—
1574C24—42no—
1575C24H(5,𝔽2)14yes—
1576C24C2512yes—
1577C24C2511yescharacteristic
1578C24C2512yes—
1579C24C2511yescharacteristic
1580C24C2512yes—
1581C24C2511yescharacteristic
1582#41—88no—
1583#41—88no—
1584C2×Q8—24no—
1585C2×Q8—22no—
1586C2×Q8—22no—
1587C2×Q8—41no—
1588C2×Q8—41no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—41no—
1592C2×Q8—41no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—42no—
1596C2×Q8—41no—
1597C2×Q8—42no—
1598C2×Q8—42no—
1599C2×D4—24no—
1600C2×D4—24no—
1601C2×D4—24no—
1602C2×D4—24no—
1603C2×D4—24no—
1604C2×D4—24no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—22no—
1608C2×D4—22no—
1609C2×D4—24no—
1610C2×D4—24no—
1611C2×D4—22no—
1612C2×D4—22no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—41no—
1625C2×D4—41no—
1626C2×D4—41no—
1627C2×D4—41no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—41no—
1640C2×D4—41no—
1641C2×D4—42no—
1642C2×D4—41no—
1643C2×D4—41no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—41no—
1647C2×D4—42no—
1648C2×D4—41no—
1649C2×D4—41no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C22×C4—22no—
1657C22×C4—22no—
1658C22×C4—22no—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—22no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—24no—
1666C22×C4—24no—
1667C22×C4—24no—
1668C22×C4—24no—
1669C22×C4—24no—
1670C22×C4—22no—
1671C22×C4—22no—
1672C22×C4—24no—
1673C22×C4—41no—
1674C22×C4—41no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—41no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—41no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—41no—
1688C22×C4—41no—
1689C22×C4—42no—
1690C22×C4—41no—
1691C22×C4—41no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—41no—
1706C22×C4—42no—
1707C22×C4—41no—
1708C22×C4—41no—
1709C22×C4—42no—
1710C22×C4—41no—
1711C22×C4—41no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—41no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—416no—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2511yescharacteristic
1739C22×C4C2511yescharacteristic
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2511yescharacteristic
1748C22×C4C2511yescharacteristic
1749C22×C4C2512yes—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
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—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—41no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—41no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—22no—
1838C22⋊C4—24no—
1839C22⋊C4—22no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—24no—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
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—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—41no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—41no—
1915C22⋊C4—41no—
1916C22⋊C4—42no—
1917C22⋊C4—41no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C42—24no—
1923C42—22no—
1924C42—24no—
1925C42—24no—
1926C42—24no—
1927C42—24no—
1928C42—24no—
1929C42—41no—
1930C42—41no—
1931C42—42no—
1932C42—42no—
1933C42—41no—
1934C42—42no—
1935C42—41no—
1936C42—41no—
1937C42—42no—
1938C42—42no—
1939C42—42no—
1940C42—42no—
1941C42—42no—
1942C42—42no—
1943C42—42no—
1944C42—42no—
1945C42—41no—
1946C42—42no—
1947C42—41no—
1948C42—41no—
1949C42H(5,𝔽2)14yes—
1950C23—22no—
1951C23—21no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—21no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—21no—
1962C23—21no—
1963C23—22no—
1964C23—21no—
1965C23—22no—
1966C23—21no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—21no—
1976C23—22no—
1977C23—21no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23—22no—
1983C23—22no—
1984C23—44no—
1985C23—48no—
1986C23—82no—
1987C23—82no—
1988C23—84no—
1989C23C2×H(5,𝔽2)12yes—
1990C23C2×H(5,𝔽2)14yes—
1991C23C2611yescharacteristic
1992Q8—84no—
1993Q8—82no—
1994Q8—82no—
1995Q8—161no—
1996Q8—162no—
1997D4—48no—
1998D4—48no—
1999D4—48no—
2000D4—48no—
2001D4—82no—
2002D4—82no—
2003D4—84no—
2004D4—84no—
2005D4—84no—
2006D4—84no—
2007D4—84no—
2008D4—84no—
2009D4—82no—
2010D4—82no—
2011D4—84no—
2012D4—161no—
2013D4—162no—
2014D4—162no—
2015D4—162no—
2016C2×C4—28no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—21no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—21no—
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—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—22no—
2045C2×C4—21no—
2046C2×C4—21no—
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—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—44no—
2101C2×C4—48no—
2102C2×C4—48no—
2103C2×C4—44no—
2104C2×C4—84no—
2105C2×C4—84no—
2106C2×C4—84no—
2107C2×C4—84no—
2108C2×C4—82no—
2109C2×C4—82no—
2110C2×C4—84no—
2111C2×C4—84no—
2112C2×C4—82no—
2113C2×C4—84no—
2114C2×C4—84no—
2115C2×C4—84no—
2116C2×C4—161no—
2117C2×C4—162no—
2118C2×C4—162no—
2119C2×C4—161no—
2120C2×C4—162no—
2121C2×C4C2×H(5,𝔽2)14yes—
2122C2×C4C2×H(5,𝔽2)12yes—
2123C2×C4#58514yes—
2124C2×C4#58512yes—
2125C22—22no—
2126C22—24no—
2127C22—24no—
2128C22—24no—
2129C22—24no—
2130C22—42no—
2131C22—41no—
2132C22—42no—
2133C22—41no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—41no—
2138C22—42no—
2139C22—41no—
2140C22—42no—
2141C22—41no—
2142C22—42no—
2143C22—41no—
2144C22—42no—
2145C22—41no—
2146C22—42no—
2147C22—41no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—42no—
2158C22—42no—
2159C22—42no—
2160C22—42no—
2161C22—88no—
2162C22C22×H(5,𝔽2)11yescharacteristic
2163C22C22×H(5,𝔽2)11yescharacteristic
2164C22C2×#58511yescharacteristic
2165C22C2×#58512yes—
2166C222−1+612yes—
2167C4—24no—
2168C4—22no—
2169C4—22no—
2170C4—24no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—41no—
2178C4—41no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C4—42no—
2191C4—42no—
2192C4—42no—
2193C4—42no—
2194C4—42no—
2195C4—42no—
2196C2—42no—
2197C2—44no—
2198C2—81no—
2199C2—82no—
2200C2—81no—
2201C2—82no—
2202C2#6275511yescharacteristic
2203C2#6281811yescharacteristic
2204C2#6289111yescharacteristic
2205C2#6290112yes—
2206C2#6292512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59107C2semidirect
2. #59070C2semidirect
3. #58967C2semidirect
4. #58086C2semidirect
5. #57936C2semidirect
6. #56476C2semidirect
7. #55843C2semidirect
8. #55183C2semidirect
9. #54662C2semidirect
10. #53984C2semidirect
11. #52496C2semidirect
12. #51483C2semidirect
13. #50889C2semidirect
14. #48867C2semidirect
15. #47849C2semidirect
16. #46310C2semidirect
17. #45441C2semidirect
18. #44127C2semidirect
19. #43412C2semidirect
20. #43218C2semidirect
21. #41987C2semidirect
22. #41220C2semidirect
23. #41133C2semidirect
24. #40978C2semidirect
25. #40960C2semidirect
26. #40744C2semidirect
27. #40520C2semidirect
28. #38644C2semidirect
29. #37998C2semidirect
30. #37788C2semidirect
31. #36819C2semidirect
32. #36223C2semidirect
33. #35699C2semidirect
34. #35441C2semidirect
35. #34633C2semidirect
36. C2×#563C22semidirect
38. C2×#559C22semidirect
49. #2841C22semidirect
50. #2837C22semidirect
51. #2836C22semidirect
52. #2836C22semidirect
53. #2836C22semidirect
54. #2836C22semidirect
55. #2831C22semidirect
56. #2831C22semidirect
57. #2830C22semidirect
59. #2827C22semidirect
60. #2826C22semidirect
61. #2820C22semidirect
62. #2818C22semidirect
65. #2800C22semidirect
66. #2799C22semidirect
67. #2797C22semidirect
68. #2794C22semidirect
69. #2792C22semidirect
70. #2791C22semidirect
71. #2791C22semidirect
72. #2790C22semidirect
73. #2790C22semidirect
74. #2790C22semidirect
75. #2788C22semidirect
77. #2786C22semidirect
78. #2780C22semidirect
79. #2780C22semidirect
81. #2777C22semidirect
82. #2775C22semidirect
83. #2772C22semidirect
85. #2769C22semidirect
86. #2768C22semidirect
87. #2766C22semidirect
88. #2762C22semidirect
89. #2761C22semidirect
91. #2755C22semidirect
92. #2755C22semidirect
96. #2748C22semidirect
97. #2748C22semidirect
101. #2743C22semidirect
103. #2733C22semidirect
104. #2731C22semidirect
107. #2730C22semidirect
108. #2730C22semidirect
109. #2730C22semidirect
110. #2726C22semidirect
115. #2722C22semidirect
116. #2721C22semidirect
117. #2721C22semidirect
118. #2720C22semidirect
121. #2718C22semidirect
124. #2717C22semidirect
125. #2717C22semidirect
126. #2717C22semidirect
129. #2715C22semidirect
131. #2713C22semidirect
138. #2707C22semidirect
139. #2707C22semidirect
142. #2706C22semidirect
143. #2705C22semidirect
144. #2704C22semidirect
151. #2694C22semidirect
161. #2687C22semidirect
173. #2667C22semidirect
174. #2666C22semidirect
175. #2662C22semidirect
177. #2652C22semidirect
178. #2652C22semidirect
179. #2652C22semidirect
180. #2651C22semidirect
182. #2644C22semidirect
183. #2643C22semidirect
185. #2637C22semidirect
186. #2633C22semidirect
189. #2630C22semidirect
190. #2629C22semidirect
202. #2612C22semidirect
203. #2612C22semidirect
206. #2610C22semidirect
208. #2608C22semidirect
209. #2607C22semidirect
210. #2605C22semidirect
211. #2603C22semidirect
217. #2596C22semidirect
219. #2595C22semidirect
220. #2591C22semidirect
221. #2589C22semidirect
222. #2587C22semidirect
223. #2587C22semidirect
224. #2587C22semidirect
225. #2586C22semidirect
226. #2585C22semidirect
227. #2585C22semidirect
228. #2583C22semidirect
231. #2576C22semidirect
232. #2567C22semidirect
239. #2552C22semidirect
241. #2549C22semidirect
250. #2526C22semidirect
251. #2525C22semidirect
254. #2520C22semidirect
257. #2497C22semidirect
260. #2485C22semidirect
273. #2474C22semidirect
276. #2471C22semidirect
277. #2471C22semidirect
282. #2467C22semidirect
287. #2463C22semidirect
288. #2460C22semidirect
289. #2460C22semidirect
290. #2460C22semidirect
291. #2459C22semidirect
294. #2457C22semidirect
298. #2456C22semidirect
305. #2447C22semidirect
306. #2447C22semidirect
316. #2438C22semidirect
344. #2381C22semidirect
346. #2373C22semidirect
347. #2370C22semidirect
348. #2366C22semidirect
354. #2353C22semidirect
357. D4×C4⋊C4C22semidirect
358. D4×C4⋊C4C22semidirect
359. #2345C22semidirect
363. #2337C22semidirect
364. #2335C22semidirect
365. #2334C22semidirect
366. #2333C22semidirect
367. #2332C22semidirect
368. #2322C22semidirect
370. #2320C22semidirect
371. #2313C22semidirect
378. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#591072
#590702
#589672
#580862
#579362
#564762
#558432
#551832
#546622
#539842
#524962
#514832
#508892
#488672
#478492
#463102
#454412
#441272
#434122
#432182
#419872
#412202
#411332
#409782
#409602
#407442
#405202
#386442
#379982
#377882
#368192
#362232
#356992
#354412
#346332