Finite Group Databasebeta

← #9243588

Subgroups — #9243588

Order 512.

4407 conjugacy classes of subgroups.

The subgroup lattice has 2183 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59259C211yesmaximal, characteristic, complemented
2#57568C212yesmaximal, complemented
3#56780C212yesmaximal, complemented
4#56418C212yesmaximal, complemented
5#56082C212yesmaximal, complemented
6#55627C212yesmaximal, complemented
7#55573C212yesmaximal, complemented
8#55366C212yesmaximal, complemented
9#55130C212yesmaximal, complemented
10#55027C212yesmaximal, complemented
11#54882C212yesmaximal, complemented
12#54872C212yesmaximal, complemented
13#53440C212yesmaximal, complemented
14#52728C212yesmaximal, complemented
15#51593C212yesmaximal, complemented
16#50576C212yesmaximal, complemented
17#50536C212yesmaximal, complemented
18#49611C212yesmaximal, complemented
19#48910C212yesmaximal, complemented
20#48787C212yesmaximal, complemented
21#48738C212yesmaximal, complemented
22#48121C212yesmaximal, complemented
23#47690C212yesmaximal, complemented
24#47145C212yesmaximal, complemented
25#45808C211yesmaximal, characteristic, complemented
26#45016C212yesmaximal, complemented
27#42072C212yesmaximal, complemented
28#41942C212yesmaximal, complemented
29#41632C212yesmaximal, complemented
30#41200C212yesmaximal, complemented
31#39735C211yesmaximal, characteristic, complemented
32#39710C211yesmaximal, characteristic, complemented
33#39380C211yesmaximal, characteristic, complemented
34#37876C211yesmaximal, characteristic, complemented
35#37461C211yesmaximal, characteristic, complemented
36C2×#552C2212yescomplemented
37C2×#542C2212yes—
38C2×#539C2211yescharacteristic
39C2×#538C2211yescharacteristic
40#2856C2211yescharacteristic
41#2855C2211yescharacteristic
42#2839C2212yescomplemented
43#2837C2212yes—
44#2837C2212yes—
45#2837C2212yescomplemented
46#2836C2212yescomplemented
47#2832C2212yes—
48#2831C2212yes—
49#2829C2212yes—
50#2829C2212yes—
51#2829C2212yescomplemented
52#2826C2212yes—
53#2823C2212yescomplemented
54#2823C2212yescomplemented
55#2821C2212yes—
56#2820C2212yescomplemented
57#2816C2212yes—
58#2816C2212yes—
59#2814C2212yescomplemented
60#2813C2212yes—
61#2808C2212yes—
62#2808C2211yescharacteristic, complemented
63#2807C2212yescomplemented
64#2806C2211yescharacteristic, complemented
65#2804C2211yescharacteristic, complemented
66#2803C2212yes—
67#2801C2212yes—
68#2800C2212yes—
69#2796C2212yes—
70#2796C2212yescomplemented
71#2792C2212yescomplemented
72#2792C2212yescomplemented
73#2791C2212yescomplemented
74#2790C2212yes—
75#2790C2212yescomplemented
76#2787C2212yescomplemented
77#2780C2212yes—
78#2780C2212yes—
79#2778C2212yes—
80#2777C2212yes—
81#2777C2212yescomplemented
82#2775C2212yescomplemented
83#2773C2212yes—
84#2773C2212yescomplemented
85#2769C2212yescomplemented
86#2768C2212yes—
87#2768C2212yes—
88#2768C2212yes—
89#2768C2212yes—
90#2768C2212yescomplemented
91#2766C2212yescomplemented
92#2763C2212yes—
93#2762C2212yescomplemented
94#2756C2212yes—
95#2755C2212yescomplemented
96#2753C2212yescomplemented
97#2753C2212yescomplemented
98#2752C2212yes—
99#2751C2212yes—
100#2750C2212yescomplemented
101#2749C2212yes—
102#2748C2212yes—
103#2748C2212yescomplemented
104#2745C2212yes—
105#2744C2212yescomplemented
106#2740C2212yescomplemented
107#2737C2212yes—
108#2732C2212yes—
109#2732C2212yes—
110#2732C2211yescharacteristic, complemented
111#2732C2211yescharacteristic, complemented
112#2732C2212yescomplemented
113#2732C2212yescomplemented
114#2732C2211yescharacteristic, complemented
115#2730C2212yes—
116#2730C2212yes—
117#2730C2212yes—
118#2728C2212yescomplemented
119#2727C2212yes—
120#2727C2212yescomplemented
121#2727C2211yescharacteristic, complemented
122#2726C2211yescharacteristic, complemented
123#2725C2212yes—
124#2725C2212yescomplemented
125#2725C2212yescomplemented
126#2725C2212yescomplemented
127#2723C2212yes—
128#2721C2212yes—
129#2721C2212yescomplemented
130#2721C2212yescomplemented
131#2720C2212yes—
132#2720C2212yescomplemented
133#2720C2212yescomplemented
134#2720C2212yescomplemented
135#2719C2212yescomplemented
136#2719C2212yescomplemented
137#2718C2212yes—
138#2718C2212yes—
139#2718C2212yes—
140#2718C2212yescomplemented
141#2713C2212yescomplemented
142#2711C2212yes—
143#2711C2212yes—
144#2711C2212yes—
145#2709C2212yescomplemented
146#2709C2212yescomplemented
147#2707C2212yes—
148#2706C2212yes—
149#2706C2212yescomplemented
150#2705C2212yes—
151#2705C2212yes—
152#2705C2212yes—
153#2704C2212yescomplemented
154#2703C2212yes—
155#2703C2212yes—
156#2701C2212yes—
157#2701C2212yes—
158#2701C2212yes—
159#2701C2212yes—
160#2698C2212yescomplemented
161#2695C2212yes—
162#2695C2212yes—
163#2695C2212yescomplemented
164#2694C2212yes—
165#2694C2212yes—
166#2694C2212yes—
167#2692C2212yescomplemented
168#2691C2212yes—
169#2691C2212yes—
170#2691C2212yescomplemented
171#2685C2212yes—
172#2685C2212yes—
173#2683C2212yes—
174#2682C2212yes—
175#2681C2212yes—
176#2681C2212yes—
177#2681C2212yes—
178#2680C2212yes—
179#2678C2212yes—
180#2676C2212yes—
181#2676C2212yes—
182#2674C2212yescomplemented
183#2673C2212yes—
184#2673C2212yes—
185#2672C2212yes—
186#2672C2212yes—
187#2672C2212yescomplemented
188#2672C2212yescomplemented
189#2671C2212yes—
190#2671C2212yes—
191#2671C2212yes—
192#2668C2212yes—
193#2667C2212yes—
194#2667C2212yes—
195#2664C2212yes—
196#2662C2212yes—
197#2659C2211yescharacteristic
198#2659C2211yescharacteristic
199#2654C2212yes—
200#2653C2212yescomplemented
201#2651C2212yes—
202#2651C2212yes—
203#2651C2212yescomplemented
204#2650C2212yes—
205#2649C2212yescomplemented
206#2649C2212yescomplemented
207#2639C2211yescharacteristic
208#2636C2212yes—
209#2636C2212yes—
210#2636C2212yescomplemented
211#2633C2212yes—
212#2632C2212yescomplemented
213#2630C2212yes—
214#2630C2212yes—
215#2630C2212yescomplemented
216#2629C2212yescomplemented
217#2626C2211yescharacteristic
218#2626C2211yescharacteristic
219#2623C2212yescomplemented
220#2620C2212yes—
221#2619C2212yes—
222#2618C2211yescharacteristic
223#2617C2211yescharacteristic
224#2617C2211yescharacteristic
225#2609C2212yescomplemented
226#2602C2212yes—
227#2602C2212yes—
228#2601C2212yes—
229#2601C2212yes—
230#2601C2212yescomplemented
231#2601C2212yescomplemented
232#2600C2212yes—
233#2598C2212yes—
234#2590C2212yescomplemented
235#2590C2212yescomplemented
236#2589C2212yes—
237#2587C2212yes—
238#2587C2212yescomplemented
239#2585C2212yescomplemented
240#2585C2212yescomplemented
241#2583C2212yescomplemented
242#2582C2211yescharacteristic, complemented
243#2580C2212yes—
244#2579C2212yescomplemented
245#2574C2212yes—
246#2572C2212yescomplemented
247#2571C2211yescharacteristic, complemented
248#2565C2212yescomplemented
249#2560C2212yescomplemented
250#2559C2212yes—
251#2559C2212yes—
252#2558C2212yescomplemented
253#2556C2212yes—
254#2556C2212yescomplemented
255#2556C2212yescomplemented
256#2554C2212yes—
257#2554C2212yes—
258#2554C2212yes—
259#2553C2212yes—
260#2553C2212yes—
261#2552C2211yescharacteristic, complemented
262#2550C2212yescomplemented
263#2544C2212yescomplemented
264#2542C2212yes—
265#2541C2211yescharacteristic, complemented
266#2539C2212yes—
267#2539C2212yes—
268#2535C2212yes—
269#2534C2212yes—
270#2524C2212yescomplemented
271#2522C2212yes—
272#2522C2212yescomplemented
273#2522C2212yescomplemented
274#2521C2212yes—
275#2521C2212yescomplemented
276#2519C2212yes—
277#2519C2212yescomplemented
278#2517C2212yes—
279#2516C2212yescomplemented
280#2515C2212yes—
281#2515C2212yescomplemented
282#2513C2212yescomplemented
283#2508C2212yescomplemented
284#2507C2212yescomplemented
285#2507C2212yescomplemented
286#2501C2212yes—
287#2500C2212yes—
288#2500C2212yescomplemented
289#2497C2212yes—
290#2496C2212yes—
291#2490C2212yes—
292#2487C2212yes—
293#2481C2212yes—
294#2479C2212yes—
295#2479C2212yescomplemented
296#2478C2212yescomplemented
297#2478C2212yescomplemented
298#2477C2212yescomplemented
299#2476C2212yes—
300#2475C2212yescomplemented
301#2472C2212yes—
302#2471C2212yes—
303#2471C2212yes—
304#2470C2212yes—
305#2470C2212yescomplemented
306#2467C2212yes—
307#2466C2212yescomplemented
308#2463C2212yes—
309#2461C2212yes—
310#2461C2212yes—
311#2458C2212yes—
312#2458C2212yes—
313#2458C2212yescomplemented
314#2458C2212yescomplemented
315#2457C2212yes—
316#2455C2212yes—
317#2454C2212yes—
318#2454C2212yes—
319#2454C2212yes—
320#2450C2212yes—
321#2449C2212yes—
322#2449C2212yes—
323#2449C2212yescomplemented
324#2449C2212yescomplemented
325#2448C2212yes—
326#2445C2212yescomplemented
327#2443C2212yes—
328#2443C2212yes—
329#2443C2212yescomplemented
330#2442C2212yes—
331#2441C2212yes—
332#2440C2212yescomplemented
333#2438C2212yes—
334#2437C2212yes—
335#2428C2212yes—
336#2426C2212yes—
337#2425C2212yes—
338#2424C2212yes—
339#2424C2212yes—
340#2423C2212yes—
341#2422C2212yes—
342#2422C2212yescomplemented
343#2421C2212yescomplemented
344#2418C2212yes—
345#2418C2212yes—
346#2417C2212yescomplemented
347#2416C2212yes—
348#2415C2212yes—
349#2415C2212yescomplemented
350#2414C2212yes—
351#2413C2212yes—
352#2395C2212yescomplemented
353#2392C2212yes—
354#2378C2212yescomplemented
355#2377C2212yes—
356#2376C2212yes—
357#2366C2211yescharacteristic, complemented
358#2364C2212yes—
359#2362C2212yes—
360#2361C2212yes—
361#2360C2212yescomplemented
362#2355C2212yescomplemented
363#2354C2211yescharacteristic, complemented
364Q8×C4⋊C4C2211yescharacteristic, complemented
365Q8×C4⋊C4C2211yescharacteristic, complemented
366#2342C2212yes—
367#2337C2212yes—
368#2333C2212yes—
369#2329C2211yescharacteristic
370#2324C2212yes—
371#2322C2212yescomplemented
372#2316C2212yescomplemented
373#2315C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#552—48no—
380#542—48no—
381#539—44no—
382#538—44no—
383C2×C4⋊Q8C2312yes—
384C2×#127C2311yescharacteristic
385C2×#127C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#120C2312yes—
454C2×#120C2312yes—
455C2×#120C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
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×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C22⋊C4C2311yescharacteristic
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2311yescharacteristic
484C22×C22⋊C4C2312yes—
485C22×C42C2311yescharacteristic
486#401C2312yes—
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#400C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#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#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
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#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
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#391C2311yescharacteristic
735#391C2311yescharacteristic
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2311yescharacteristic
743#391C2311yescharacteristic
744#391C2312yes—
745#391C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2311yescharacteristic
758#390C2311yescharacteristic
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2311yescharacteristic
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
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#389C2311yescharacteristic
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#389C2312yes—
802#389C2311yescharacteristic
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2311yescharacteristic
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2311yescharacteristic
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2311yescharacteristic
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#384C2312yes—
1022#384C2312yes—
1023#384C2312yes—
1024#384C2311yescharacteristic
1025#384C2311yescharacteristic
1026#384C2311yescharacteristic
1027#384C2312yes—
1028#384C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#380C2311yescharacteristic
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2311yescharacteristic
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#379C2312yes—
1068#379C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C25C2411yescharacteristic
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C4⋊Q8—44no—
1144#127—42no—
1145#127—82no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—82no—
1153#126—82no—
1154#126—82no—
1155#126—82no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—82no—
1161#125—82no—
1162#125—82no—
1163#124—28no—
1164#124—44no—
1165#124—44no—
1166#124—82no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—82no—
1177#123—82no—
1178#123—82no—
1179#123—82no—
1180#123—82no—
1181#123—82no—
1182C22⋊Q8—24no—
1183C22⋊Q8—28no—
1184C22⋊Q8—28no—
1185C22⋊Q8—24no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—42no—
1189C22⋊Q8—82no—
1190C22⋊Q8—82no—
1191C22⋊Q8—82no—
1192C22⋊Q8—82no—
1193C22⋊Q8—82no—
1194C22⋊Q8—82no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198#121—28no—
1199#121—24no—
1200#121—42no—
1201#121—42no—
1202#121—44no—
1203#121—44no—
1204#121—44no—
1205#121—82no—
1206#121—82no—
1207#121—82no—
1208#121—82no—
1209#121—82no—
1210#121—82no—
1211#121—82no—
1212#121—82no—
1213#120—44no—
1214#120—82no—
1215#120—82no—
1216C4×Q8—28no—
1217C4×Q8—42no—
1218C4×Q8—42no—
1219C4×Q8—82no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—42no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—82no—
1226C4×D4—82no—
1227C4×D4—82no—
1228C4×D4—82no—
1229C4×D4—82no—
1230C4×D4—82no—
1231#117—44no—
1232#117—44no—
1233#117—44no—
1234#117—44no—
1235#117—82no—
1236#117—82no—
1237C2×C4⋊C4—44no—
1238C2×C4⋊C4—42no—
1239C2×C4⋊C4—44no—
1240C2×C4⋊C4—82no—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C22⋊C4—24no—
1340C2×C22⋊C4—42no—
1341C2×C22⋊C4—42no—
1342C2×C22⋊C4—82no—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×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⋊C4C2412yes—
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⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
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×C42—42no—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
1459C2×C42C2411yescharacteristic
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—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548C24—22no—
1549C24—41no—
1550C24—41no—
1551C24—41no—
1552C24—41no—
1553C24—41no—
1554C24—41no—
1555C24C2512yes—
1556C24C2512yes—
1557C24C2512yes—
1558C24C2512yes—
1559C24C2511yescharacteristic
1560C2×Q8—22no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—41no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—41no—
1568C2×Q8—41no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—41no—
1572C2×Q8—42no—
1573C2×Q8—42no—
1574C2×Q8H(5,𝔽2)14yes—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—22no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—41no—
1586C2×D4—42no—
1587C2×D4—42no—
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—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—41no—
1612C2×D4—41no—
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—42no—
1628C2×D4—41no—
1629C22×C4—22no—
1630C22×C4—24no—
1631C22×C4—22no—
1632C22×C4—24no—
1633C22×C4—22no—
1634C22×C4—24no—
1635C22×C4—41no—
1636C22×C4—42no—
1637C22×C4—41no—
1638C22×C4—42no—
1639C22×C4—41no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—41no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—41no—
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—41no—
1675C22×C4—41no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—41no—
1679C22×C42−1+414yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2511yescharacteristic
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
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×C4C2512yes—
1706C22×C4C2511yescharacteristic
1707C22×C4C2511yescharacteristic
1708C22×C4C2511yescharacteristic
1709C22×C4C2511yescharacteristic
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—22no—
1721C4⋊C4—22no—
1722C4⋊C4—24no—
1723C4⋊C4—22no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—41no—
1761C4⋊C4—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—41no—
1765C4⋊C4—41no—
1766C4⋊C4—41no—
1767C4⋊C4—41no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—41no—
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—41no—
1801C4⋊C4—41no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—41no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
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—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
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—
1899C42—24no—
1900C42—24no—
1901C42—24no—
1902C42—24no—
1903C42—22no—
1904C42—22no—
1905C42—41no—
1906C42—41no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C23—21no—
1925C23—21no—
1926C23—21no—
1927C23—21no—
1928C23—21no—
1929C23—21no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—44no—
1959C23—82no—
1960C23—82no—
1961C23—161no—
1962C23—161no—
1963C23—161no—
1964C23—161no—
1965C23C2×2−1+412yes—
1966C23C2611yescharacteristic
1967Q8—44no—
1968Q8—44no—
1969Q8—162no—
1970Q8—162no—
1971Q8—161no—
1972D4—84no—
1973D4—84no—
1974D4—82no—
1975D4—84no—
1976D4—84no—
1977D4—84no—
1978D4—84no—
1979D4—84no—
1980D4—84no—
1981D4—84no—
1982D4—84no—
1983D4—162no—
1984D4—162no—
1985D4—162no—
1986D4—162no—
1987D4—161no—
1988D4—161no—
1989D4—162no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—22no—
1999C2×C4—21no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
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—21no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—21no—
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—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—21no—
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—21no—
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—21no—
2074C2×C4—22no—
2075C2×C4—44no—
2076C2×C4—48no—
2077C2×C4—84no—
2078C2×C4—82no—
2079C2×C4—84no—
2080C2×C4—82no—
2081C2×C4—82no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—162no—
2086C2×C4—162no—
2087C2×C4—161no—
2088C2×C4—162no—
2089C2×C4—162no—
2090C2×C4—161no—
2091C2×C4—162no—
2092C2×C4C2×H(5,𝔽2)14yes—
2093C2×C4C2×H(5,𝔽2)12yes—
2094C2×C4C2×2−1+412yes—
2095C2×C4C2×2−1+412yes—
2096C2×C4#58512yes—
2097C22—22no—
2098C22—22no—
2099C22—22no—
2100C22—41no—
2101C22—41no—
2102C22—41no—
2103C22—41no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—164no—
2133C22C22×H(5,𝔽2)11yescharacteristic
2134C22C22×2−1+411yescharacteristic
2135C22C2×#58511yescharacteristic
2136C22H(7,𝔽2)11yescharacteristic
2137C22H(7,𝔽2)11yescharacteristic
2138C22H(7,𝔽2)11yescharacteristic
2139C222−1+611yescharacteristic
2140C4—22no—
2141C4—24no—
2142C4—22no—
2143C4—22no—
2144C4—22no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—41no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—41no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C2—42no—
2171C2—82no—
2172C2—82no—
2173C2—82no—
2174C2—82no—
2175C2#6287011yescharacteristic
2176C2#6287911yescharacteristic
2177C2#6290111yescharacteristic
2178C2#6290211yescharacteristic
2179C2#6291711yescharacteristic
2180C2#6297511yescharacteristic
2181C2#6306611yescharacteristic
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. #59259C2semidirect
2. #57568C2semidirect
3. #56780C2semidirect
4. #56418C2semidirect
5. #56082C2semidirect
6. #55627C2semidirect
7. #55573C2semidirect
8. #55366C2semidirect
9. #55130C2semidirect
10. #55027C2semidirect
11. #54882C2semidirect
12. #54872C2semidirect
13. #53440C2semidirect
14. #52728C2semidirect
15. #51593C2semidirect
16. #50576C2semidirect
17. #50536C2semidirect
18. #49611C2semidirect
19. #48910C2semidirect
20. #48787C2semidirect
21. #48738C2semidirect
22. #48121C2semidirect
23. #47690C2semidirect
24. #47145C2semidirect
25. #45808C2semidirect
26. #45016C2semidirect
27. #42072C2semidirect
28. #41942C2semidirect
29. #41632C2semidirect
30. #41200C2semidirect
31. #39735C2semidirect
32. #39710C2semidirect
33. #39380C2semidirect
34. #37876C2semidirect
35. #37461C2semidirect
36. C2×#552C22semidirect
42. #2839C22semidirect
45. #2837C22semidirect
46. #2836C22semidirect
51. #2829C22semidirect
53. #2823C22semidirect
54. #2823C22semidirect
56. #2820C22semidirect
59. #2814C22semidirect
62. #2808C22semidirect
63. #2807C22semidirect
64. #2806C22semidirect
65. #2804C22semidirect
70. #2796C22semidirect
71. #2792C22semidirect
72. #2792C22semidirect
73. #2791C22semidirect
75. #2790C22semidirect
76. #2787C22semidirect
81. #2777C22semidirect
82. #2775C22semidirect
84. #2773C22semidirect
85. #2769C22semidirect
90. #2768C22semidirect
91. #2766C22semidirect
93. #2762C22semidirect
95. #2755C22semidirect
96. #2753C22semidirect
97. #2753C22semidirect
100. #2750C22semidirect
103. #2748C22semidirect
105. #2744C22semidirect
106. #2740C22semidirect
110. #2732C22semidirect
111. #2732C22semidirect
112. #2732C22semidirect
113. #2732C22semidirect
114. #2732C22semidirect
118. #2728C22semidirect
120. #2727C22semidirect
121. #2727C22semidirect
122. #2726C22semidirect
124. #2725C22semidirect
125. #2725C22semidirect
126. #2725C22semidirect
129. #2721C22semidirect
130. #2721C22semidirect
132. #2720C22semidirect
133. #2720C22semidirect
134. #2720C22semidirect
135. #2719C22semidirect
136. #2719C22semidirect
140. #2718C22semidirect
141. #2713C22semidirect
145. #2709C22semidirect
146. #2709C22semidirect
149. #2706C22semidirect
153. #2704C22semidirect
160. #2698C22semidirect
163. #2695C22semidirect
167. #2692C22semidirect
170. #2691C22semidirect
182. #2674C22semidirect
187. #2672C22semidirect
188. #2672C22semidirect
200. #2653C22semidirect
203. #2651C22semidirect
205. #2649C22semidirect
206. #2649C22semidirect
210. #2636C22semidirect
212. #2632C22semidirect
215. #2630C22semidirect
216. #2629C22semidirect
219. #2623C22semidirect
225. #2609C22semidirect
230. #2601C22semidirect
231. #2601C22semidirect
234. #2590C22semidirect
235. #2590C22semidirect
238. #2587C22semidirect
239. #2585C22semidirect
240. #2585C22semidirect
241. #2583C22semidirect
242. #2582C22semidirect
244. #2579C22semidirect
246. #2572C22semidirect
247. #2571C22semidirect
248. #2565C22semidirect
249. #2560C22semidirect
252. #2558C22semidirect
254. #2556C22semidirect
255. #2556C22semidirect
261. #2552C22semidirect
262. #2550C22semidirect
263. #2544C22semidirect
265. #2541C22semidirect
270. #2524C22semidirect
272. #2522C22semidirect
273. #2522C22semidirect
275. #2521C22semidirect
277. #2519C22semidirect
279. #2516C22semidirect
281. #2515C22semidirect
282. #2513C22semidirect
283. #2508C22semidirect
284. #2507C22semidirect
285. #2507C22semidirect
288. #2500C22semidirect
295. #2479C22semidirect
296. #2478C22semidirect
297. #2478C22semidirect
298. #2477C22semidirect
300. #2475C22semidirect
305. #2470C22semidirect
307. #2466C22semidirect
313. #2458C22semidirect
314. #2458C22semidirect
323. #2449C22semidirect
324. #2449C22semidirect
326. #2445C22semidirect
329. #2443C22semidirect
332. #2440C22semidirect
342. #2422C22semidirect
343. #2421C22semidirect
346. #2417C22semidirect
349. #2415C22semidirect
352. #2395C22semidirect
354. #2378C22semidirect
357. #2366C22semidirect
361. #2360C22semidirect
362. #2355C22semidirect
363. #2354C22semidirect
364. Q8×C4⋊C4C22semidirect
365. Q8×C4⋊C4C22semidirect
371. #2322C22semidirect
372. #2316C22semidirect

Maximal subgroups

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

subgroupindex
#592592
#575682
#567802
#564182
#560822
#556272
#555732
#553662
#551302
#550272
#548822
#548722
#534402
#527282
#515932
#505762
#505362
#496112
#489102
#487872
#487382
#481212
#476902
#471452
#458082
#450162
#420722
#419422
#416322
#412002
#397352
#397102
#393802
#378762
#374612