Finite Group Databasebeta

← #8070498

Subgroups — #8070498

Order 512.

4815 conjugacy classes of subgroups.

The subgroup lattice has 2200 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60038C211yesmaximal, characteristic, complemented
2#59983C212yesmaximal, complemented
3#59799C212yesmaximal, complemented
4#59780C212yesmaximal, complemented
5#59399C212yesmaximal, complemented
6#52001C212yesmaximal, complemented
7#51509C212yesmaximal, complemented
8#50749C212yesmaximal, complemented
9#50479C212yesmaximal, complemented
10#50221C212yesmaximal, complemented
11#49811C212yesmaximal, complemented
12#49415C212yesmaximal, complemented
13#49253C212yesmaximal, complemented
14#48724C212yesmaximal, complemented
15#47457C211yesmaximal, characteristic, complemented
16#47228C212yesmaximal, complemented
17#47067C212yesmaximal, complemented
18#46548C211yesmaximal, characteristic, complemented
19#44878C212yesmaximal, complemented
20#44449C211yesmaximal, characteristic, complemented
21#44281C212yesmaximal, complemented
22#44260C212yesmaximal, complemented
23#43953C212yesmaximal, complemented
24#43920C212yesmaximal, complemented
25#43625C212yesmaximal, complemented
26#43580C212yesmaximal, complemented
27#43498C211yesmaximal, characteristic, complemented
28#43014C212yesmaximal, complemented
29#40362C212yesmaximal, complemented
30#39961C212yesmaximal, complemented
31#39169C211yesmaximal, characteristic, complemented
32#38497C212yesmaximal, complemented
33#38298C212yesmaximal, complemented
34#34498C211yesmaximal, characteristic, complemented
35#34450C212yesmaximal, complemented
36C2×#559C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#547C2212yes—
40C2×#544C2211yescharacteristic
41C2×#540C2212yes—
42C2×#539C2211yescharacteristic
43#2858C2211yescharacteristic
44#2850C2212yes—
45#2826C2211yescharacteristic
46#2815C2211yescharacteristic
47#2808C2212yes—
48#2800C2212yes—
49#2799C2212yes—
50#2797C2212yes—
51#2797C2212yes—
52#2797C2212yes—
53#2795C2211yescharacteristic
54#2795C2212yes—
55#2795C2212yes—
56#2795C2212yes—
57#2793C2212yes—
58#2792C2211yescharacteristic
59#2790C2212yes—
60#2784C2212yes—
61#2783C2212yes—
62#2783C2212yes—
63#2781C2212yes—
64#2779C2212yes—
65#2779C2212yes—
66#2778C2212yes—
67#2778C2212yes—
68#2777C2212yes—
69#2776C2212yes—
70#2775C2212yes—
71#2769C2212yes—
72#2760C2211yescharacteristic
73#2756C2212yes—
74#2753C2212yes—
75#2752C2211yescharacteristic
76#2750C2212yes—
77#2749C2212yes—
78#2749C2212yes—
79#2746C2212yes—
80#2741C2212yes—
81#2739C2212yes—
82#2737C2212yes—
83#2730C2212yes—
84#2729C2212yes—
85#2729C2212yes—
86#2729C2212yes—
87#2728C2212yes—
88#2728C2212yes—
89#2723C2212yes—
90#2720C2212yes—
91#2720C2212yes—
92#2719C2212yes—
93#2716C2212yes—
94#2715C2212yes—
95#2714C2212yes—
96#2714C2212yes—
97#2714C2212yes—
98#2713C2212yes—
99#2713C2212yes—
100#2712C2212yes—
101#2710C2212yes—
102#2710C2212yes—
103#2709C2212yes—
104#2709C2212yes—
105#2709C2212yes—
106#2708C2212yes—
107#2708C2212yes—
108#2707C2212yes—
109#2707C2212yes—
110#2707C2212yes—
111#2707C2212yes—
112#2703C2212yes—
113#2703C2212yes—
114#2700C2212yes—
115#2699C2212yes—
116#2696C2212yes—
117#2696C2212yes—
118#2695C2212yes—
119#2693C2212yes—
120#2693C2211yescharacteristic
121#2689C2212yes—
122#2688C2212yes—
123#2688C2212yes—
124#2681C2212yes—
125#2681C2212yes—
126#2676C2212yes—
127#2676C2212yes—
128#2676C2212yes—
129#2676C2212yes—
130#2676C2212yes—
131#2676C2212yes—
132#2675C2212yes—
133#2675C2211yescharacteristic
134#2673C2212yes—
135#2673C2212yes—
136#2673C2212yes—
137#2673C2212yes—
138#2672C2212yes—
139#2671C2212yes—
140#2661C2212yes—
141#2661C2212yes—
142#2653C2212yes—
143#2651C2212yes—
144#2650C2212yes—
145#2650C2212yes—
146#2648C2212yes—
147#2641C2212yes—
148#2637C2212yes—
149#2610C2212yes—
150#2610C2212yes—
151#2610C2212yes—
152#2605C2212yes—
153#2602C2212yes—
154#2602C2212yes—
155#2602C2212yes—
156#2600C2211yescharacteristic
157#2599C2212yes—
158#2598C2212yes—
159#2597C2212yes—
160#2597C2212yes—
161#2595C2212yes—
162#2593C2212yes—
163#2593C2211yescharacteristic
164#2593C2212yes—
165#2591C2212yes—
166#2591C2212yes—
167#2589C2212yes—
168#2585C2212yes—
169#2578C2212yes—
170#2578C2212yes—
171#2578C2212yes—
172#2578C2212yes—
173#2577C2212yes—
174#2577C2212yes—
175#2573C2212yes—
176#2566C2212yes—
177#2566C2212yes—
178#2564C2211yescharacteristic
179#2563C2211yescharacteristic
180#2562C2212yes—
181#2560C2212yes—
182#2559C2212yes—
183#2559C2212yes—
184#2559C2212yes—
185#2558C2212yes—
186#2558C2212yes—
187#2558C2212yes—
188#2558C2212yes—
189#2557C2212yes—
190#2557C2212yes—
191#2557C2212yes—
192#2555C2211yescharacteristic
193#2555C2212yes—
194#2555C2212yes—
195#2554C2212yes—
196#2554C2212yes—
197#2554C2212yes—
198#2554C2212yes—
199#2549C2212yes—
200#2543C2212yes—
201#2543C2212yes—
202#2543C2211yescharacteristic
203#2541C2211yescharacteristic
204#2541C2212yes—
205#2538C2212yes—
206#2533C2212yes—
207#2533C2212yes—
208#2531C2212yes—
209#2531C2212yes—
210#2530C2212yes—
211#2530C2212yes—
212#2528C2212yes—
213#2528C2212yes—
214#2528C2212yes—
215#2527C2212yes—
216#2527C2212yes—
217#2527C2212yes—
218#2526C2212yes—
219#2526C2212yes—
220#2522C2212yes—
221#2521C2212yes—
222#2520C2212yes—
223#2518C2212yes—
224#2516C2212yes—
225#2516C2212yes—
226#2515C2212yes—
227#2512C2212yes—
228#2510C2212yes—
229#2510C2212yes—
230#2506C2212yes—
231#2504C2211yescharacteristic
232#2502C2211yescharacteristic
233#2498C2212yes—
234#2497C2212yes—
235#2492C2212yes—
236#2491C2212yes—
237#2490C2212yes—
238#2489C2212yes—
239#2488C2212yes—
240#2481C2212yes—
241#2481C2212yes—
242#2478C2212yes—
243#2478C2212yes—
244#2477C2212yes—
245#2475C2212yes—
246#2473C2212yes—
247#2473C2212yes—
248#2471C2212yes—
249#2471C2212yes—
250#2470C2212yes—
251#2467C2212yes—
252#2465C2212yes—
253#2465C2212yes—
254#2464C2212yes—
255#2464C2212yes—
256#2464C2212yes—
257#2464C2212yes—
258#2463C2211yescharacteristic
259#2462C2212yes—
260#2461C2212yes—
261#2461C2212yes—
262#2461C2212yes—
263#2460C2212yes—
264#2459C2212yes—
265#2458C2212yes—
266#2456C2212yes—
267#2456C2212yes—
268#2456C2212yes—
269#2450C2212yes—
270#2450C2212yes—
271#2446C2212yes—
272#2445C2212yes—
273#2444C2212yes—
274#2444C2212yes—
275#2444C2212yes—
276#2443C2212yes—
277#2442C2212yes—
278#2440C2212yes—
279#2438C2212yes—
280#2438C2212yes—
281#2432C2212yes—
282#2432C2212yes—
283#2431C2212yes—
284#2430C2212yes—
285#2426C2212yes—
286#2426C2212yes—
287#2425C2212yes—
288#2425C2212yes—
289#2425C2212yes—
290#2425C2212yes—
291#2422C2212yes—
292#2421C2212yes—
293#2420C2212yes—
294#2416C2212yes—
295#2416C2212yes—
296#2416C2212yes—
297#2415C2212yes—
298#2414C2212yes—
299#2414C2212yes—
300#2414C2212yes—
301#2414C2212yes—
302#2407C2212yes—
303#2407C2212yes—
304#2407C2212yes—
305#2407C2212yes—
306#2407C2212yes—
307C2×#400C2211yescharacteristic
308C2×#400C2211yescharacteristic
309#2392C2212yes—
310#2388C2212yes—
311#2382C2212yes—
312#2377C2212yes—
313#2377C2212yes—
314#2376C2211yescharacteristic
315#2376C2212yes—
316#2376C2211yescharacteristic
317#2374C2212yes—
318#2373C2212yes—
319#2373C2212yes—
320#2372C2212yes—
321#2372C2212yes—
322#2371C2212yes—
323#2369C2212yes—
324#2368C2212yes—
325#2368C2211yescharacteristic
326#2368C2211yescharacteristic
327#2367C2212yes—
328#2367C2212yes—
329#2367C2212yes—
330#2366C2211yescharacteristic
331#2364C2212yes—
332#2364C2212yes—
333#2364C2212yes—
334#2364C2212yes—
335#2364C2212yes—
336#2363C2212yes—
337#2362C2212yes—
338#2361C2212yes—
339#2359C2212yes—
340#2359C2212yes—
341#2359C2212yes—
342#2353C2212yes—
343#2352C2212yes—
344Q8×C4⋊C4C2212yes—
345D4×C4⋊C4C2212yes—
346D4×C4⋊C4C2212yes—
347#2346C2212yes—
348#2343C2212yes—
349#2335C2212yes—
350#2335C2212yes—
351#2333C2212yes—
352#2333C2212yes—
353#2328C2212yes—
354#2328C2212yes—
355#2326C2212yes—
356#2326C2212yes—
357#2325C2212yes—
358#2325C2212yes—
359#2325C2212yes—
360#2325C2212yes—
361#2324C2212yes—
362#2322C2212yes—
363#2322C2212yes—
364#2322C2211yescharacteristic
365#2322C2211yescharacteristic
366#2319C2212yes—
367#2319C2212yes—
368#2318C2212yes—
369C4×#127C2211yescharacteristic
370C4×C22⋊Q8C2212yes—
371C4×#123C2212yes—
372C4×#123C2212yes—
373C4×#121C2212yes—
374#2298C2212yes—
375#2297C2212yes—
376#2295C2211yescharacteristic
377#2295C2212yes—
378#2290C2212yes—
379C22×#41C2312yes—
380C22×#41C2312yes—
381#559—28no—
382#554—44no—
383#550—44no—
384#547—48no—
385#544—44no—
386#540—216no—
387#539—44no—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2312yes—
391C2×#127C2311yescharacteristic
392C2×#127C2312yes—
393C2×#127C2311yescharacteristic
394C2×#127C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2311yescharacteristic
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2311yescharacteristic
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
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×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2311yescharacteristic
496C22×C42C2312yes—
497#401C2312yes—
498#401C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2311yescharacteristic
502#400C2312yes—
503#400C2312yes—
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#399C2311yescharacteristic
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2311yescharacteristic
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2311yescharacteristic
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#395C2311yescharacteristic
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2311yescharacteristic
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2311yescharacteristic
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#392C2311yescharacteristic
658#392C2312yes—
659#392C2311yescharacteristic
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2311yescharacteristic
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2311yescharacteristic
682#392C2311yescharacteristic
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2311yescharacteristic
702#390C2311yescharacteristic
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2311yescharacteristic
904#386C2312yes—
905#386C2311yescharacteristic
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
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#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#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2311yescharacteristic
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2311yescharacteristic
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#384C2311yescharacteristic
1004#384C2312yes—
1005#384C2312yes—
1006#384C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2311yescharacteristic
1019#381C2312yes—
1020#381C2311yescharacteristic
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2311yescharacteristic
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2311yescharacteristic
1068C4×C22⋊C4C2311yescharacteristic
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C2×#95C2312yes—
1104C43C2311yescharacteristic
1105C2×#41—28no—
1106C2×#41—44no—
1107C2×#41—82no—
1108C2×#41—82no—
1109C2×#41—82no—
1110C2×#41—82no—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2411yescharacteristic
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2411yescharacteristic
1139C22×D4C2411yescharacteristic
1140C22×D4C2411yescharacteristic
1141C23×C4C2411yescharacteristic
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2411yescharacteristic
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2411yescharacteristic
1154C23×C4C2411yescharacteristic
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2412yes—
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C23×C4C2411yescharacteristic
1163C4⋊Q8—28no—
1164C4⋊Q8—42no—
1165C4⋊Q8—44no—
1166#127—28no—
1167#127—24no—
1168#127—44no—
1169#127—42no—
1170#126—44no—
1171#126—44no—
1172#126—44no—
1173#126—82no—
1174#125—28no—
1175#125—44no—
1176#125—44no—
1177#125—44no—
1178#125—44no—
1179#124—28no—
1180#124—28no—
1181#124—44no—
1182#124—44no—
1183#124—44no—
1184#124—82no—
1185#124—82no—
1186#123—24no—
1187#123—28no—
1188#123—28no—
1189#123—28no—
1190#123—28no—
1191#123—44no—
1192#123—44no—
1193#123—44no—
1194#123—44no—
1195#123—44no—
1196#123—44no—
1197#123—44no—
1198#123—44no—
1199#123—82no—
1200#123#4118yescomplemented
1201C22⋊Q8—28no—
1202C22⋊Q8—24no—
1203C22⋊Q8—24no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—42no—
1210C22⋊Q8—44no—
1211C22⋊Q8—82no—
1212C22⋊Q8—82no—
1213#121—28no—
1214#121—28no—
1215#121—28no—
1216#121—28no—
1217#121—28no—
1218#121—28no—
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—82no—
1231#121—82no—
1232#121—82no—
1233#121—82no—
1234#121—82no—
1235#121—82no—
1236C4×Q8—24no—
1237C4×Q8—28no—
1238C4×Q8—82no—
1239C4×Q8—82no—
1240C4×D4—28no—
1241C4×D4—28no—
1242C4×D4—28no—
1243C4×D4—28no—
1244C4×D4—44no—
1245C4×D4—44no—
1246C4×D4—44no—
1247C4×D4—44no—
1248C4×D4—42no—
1249C4×D4—42no—
1250C4×D4—44no—
1251C4×D4—82no—
1252C4×D4—82no—
1253C4×D4—82no—
1254C4×D4—82no—
1255C4×D4—82no—
1256C4×D4—82no—
1257C4×D4—82no—
1258C4×D4—82no—
1259C4×D4—82no—
1260#117—28no—
1261#117—44no—
1262#117—44no—
1263#117—82no—
1264#117—82no—
1265C2×C4⋊C4—42no—
1266C2×C4⋊C4—42no—
1267C2×C4⋊C4—44no—
1268C2×C4⋊C4—44no—
1269C2×C4⋊C4—42no—
1270C2×C4⋊C4—42no—
1271C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
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×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1382C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2411yescharacteristic
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2411yescharacteristic
1436C2×C42—82no—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2411yescharacteristic
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2411yescharacteristic
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×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2411yescharacteristic
1466C2×C42C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2411yescharacteristic
1478#95C2411yescharacteristic
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2411yescharacteristic
1490#95C2412yes—
1491#95C2412yes—
1492#95C2411yescharacteristic
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#95C2411yescharacteristic
1550#95C2412yes—
1551#95C2412yes—
1552#95C2411yescharacteristic
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563C24C2512yes—
1564C24C2512yes—
1565C24C2512yes—
1566C24C2512yes—
1567C24C2511yescharacteristic
1568C24C2511yescharacteristic
1569#41—816no—
1570#41—816no—
1571C2×Q8—24no—
1572C2×Q8—24no—
1573C2×Q8—24no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—41no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8—42no—
1583C2×Q8H(5,𝔽2)14yes—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—24no—
1590C2×D4—24no—
1591C2×D4—24no—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—24no—
1595C2×D4—22no—
1596C2×D4—24no—
1597C2×D4—24no—
1598C2×D4—24no—
1599C2×D4—24no—
1600C2×D4—24no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—41no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—41no—
1611C2×D4—42no—
1612C2×D4—42no—
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—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
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—41no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—41no—
1641C2×D4—41no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—41no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4C2×#4114yes—
1656C22×C4—22no—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—22no—
1664C22×C4—22no—
1665C22×C4—24no—
1666C22×C4—24no—
1667C22×C4—24no—
1668C22×C4—42no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—41no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—41no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
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—41no—
1704C22×C4—41no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—41no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4C2×#4114yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
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×C4C2512yes—
1739C22×C4C2511yescharacteristic
1740C22×C4C2511yescharacteristic
1741C22×C4C2511yescharacteristic
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2511yescharacteristic
1746C22×C4C2512yes—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—22no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—22no—
1761C4⋊C4—22no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
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—41no—
1789C4⋊C4—41no—
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—41no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—41no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4C2×#4118yes—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—22no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—41no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—41no—
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—41no—
1858C22⋊C4—41no—
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—42no—
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⋊C4C2×#4118yes—
1911C22⋊C4C2×#4114yes—
1912C42—24no—
1913C42—24no—
1914C42—24no—
1915C42—24no—
1916C42—22no—
1917C42—24no—
1918C42—24no—
1919C42—22no—
1920C42—24no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—41no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—42no—
1936C42—42no—
1937C42—42no—
1938C42—42no—
1939C42—42no—
1940C42—42no—
1941C42—42no—
1942C23—21no—
1943C23—21no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—21no—
1949C23—21no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—22no—
1962C23—22no—
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23C22×#4112yes—
1979C23C22×#4112yes—
1980C23C2611yescharacteristic
1981Q8—44no—
1982Q8—48no—
1983Q8—84no—
1984Q8—162no—
1985Q8—161no—
1986D4—44no—
1987D4—48no—
1988D4—48no—
1989D4—48no—
1990D4—84no—
1991D4—82no—
1992D4—84no—
1993D4—84no—
1994D4—84no—
1995D4—84no—
1996D4—84no—
1997D4—84no—
1998D4—84no—
1999D4—84no—
2000D4—84no—
2001D4—84no—
2002D4—84no—
2003D4—84no—
2004D4—84no—
2005D4—162no—
2006D4—162no—
2007D4—161no—
2008D4—161no—
2009D4—161no—
2010D4—162no—
2011C2×C4—22no—
2012C2×C4—21no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—21no—
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—21no—
2040C2×C4—21no—
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—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—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—44no—
2089C2×C4—48no—
2090C2×C4—84no—
2091C2×C4—84no—
2092C2×C4—84no—
2093C2×C4—84no—
2094C2×C4—82no—
2095C2×C4—82no—
2096C2×C4—84no—
2097C2×C4—84no—
2098C2×C4—84no—
2099C2×C4—82no—
2100C2×C4—84no—
2101C2×C4—84no—
2102C2×C4—84no—
2103C2×C4—84no—
2104C2×C4—84no—
2105C2×C4—162no—
2106C2×C4—162no—
2107C2×C4—161no—
2108C2×C4—161no—
2109C2×C4—162no—
2110C2×C4C22×#4112yes—
2111C2×C4C22×#4114yes—
2112C2×C4C22×#4114yes—
2113C2×C4C2×H(5,𝔽2)14yes—
2114C2×C4C2×H(5,𝔽2)12yes—
2115C2×C4#58514yes—
2116C22—22no—
2117C22—22no—
2118C22—24no—
2119C22—24no—
2120C22—41no—
2121C22—41no—
2122C22—41no—
2123C22—41no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22C23×#4111yescharacteristic
2155C22C22×H(5,𝔽2)11yescharacteristic
2156C22C2×#58512yes—
2157C22H(7,𝔽2)12yes—
2158C222−1+611yescharacteristic
2159C4—24no—
2160C4—22no—
2161C4—24no—
2162C4—24no—
2163C4—24no—
2164C4—22no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—41no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—41no—
2182C4—41no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C2—42no—
2189C2—42no—
2190C2—82no—
2191C2—82no—
2192C2—82no—
2193C2—82no—
2194C2#6286211yescharacteristic
2195C2#6288412yes—
2196C2#6298411yescharacteristic
2197C2#6300812yes—
2198C2#6303511yescharacteristic
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. #60038C2semidirect
2. #59983C2semidirect
3. #59799C2semidirect
4. #59780C2semidirect
5. #59399C2semidirect
6. #52001C2semidirect
7. #51509C2semidirect
8. #50749C2semidirect
9. #50479C2semidirect
10. #50221C2semidirect
11. #49811C2semidirect
12. #49415C2semidirect
13. #49253C2semidirect
14. #48724C2semidirect
15. #47457C2semidirect
16. #47228C2semidirect
17. #47067C2semidirect
18. #46548C2semidirect
19. #44878C2semidirect
20. #44449C2semidirect
21. #44281C2semidirect
22. #44260C2semidirect
23. #43953C2semidirect
24. #43920C2semidirect
25. #43625C2semidirect
26. #43580C2semidirect
27. #43498C2semidirect
28. #43014C2semidirect
29. #40362C2semidirect
30. #39961C2semidirect
31. #39169C2semidirect
32. #38497C2semidirect
33. #38298C2semidirect
34. #34498C2semidirect
35. #34450C2semidirect
1200. #123#41semidirect

Maximal subgroups

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

subgroupindex
#600382
#599832
#597992
#597802
#593992
#520012
#515092
#507492
#504792
#502212
#498112
#494152
#492532
#487242
#474572
#472282
#470672
#465482
#448782
#444492
#442812
#442602
#439532
#439202
#436252
#435802
#434982
#430142
#403622
#399612
#391692
#384972
#382982
#344982
#344502