Finite Group Databasebeta

← #7979710

Subgroups — #7979710

Order 512.

5505 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59454C212yesmaximal, complemented
2#59437C211yesmaximal, characteristic, complemented
3#59128C212yesmaximal, complemented
4#59125C211yesmaximal, characteristic, complemented
5#59066C211yesmaximal, characteristic, complemented
6#50736C214yesmaximal, complemented
7#50668C214yesmaximal, complemented
8#46020C212yesmaximal, complemented
9#45669C212yesmaximal, complemented
10#45378C212yesmaximal, complemented
11#45374C212yesmaximal, complemented
12#43451C214yesmaximal, complemented
13#42952C212yesmaximal, complemented
14#42537C212yesmaximal, complemented
15#41112C214yesmaximal, complemented
16#40117C212yesmaximal, complemented
17#39956C212yesmaximal, complemented
18#39864C212yesmaximal, complemented
19#39725C211yesmaximal, characteristic, complemented
20#39532C212yesmaximal, complemented
21#39052C212yesmaximal, complemented
22#38987C211yesmaximal, characteristic, complemented
23#36599C211yesmaximal, characteristic, complemented
24#36472C211yesmaximal, characteristic, complemented
25#36259C211yesmaximal, characteristic, complemented
26#36127C212yesmaximal, complemented
27#36125C211yesmaximal, characteristic, complemented
28#36122C211yesmaximal, characteristic, complemented
29#35281C211yesmaximal, characteristic, complemented
30#35176C211yesmaximal, characteristic, complemented
31#35046C212yesmaximal, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34461C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#548C2212yes—
40C2×#548C2212yes—
41C2×#547C2212yes—
42C2×#547C2211yescharacteristic
43C2×#547C2212yes—
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2212yes—
47C2×#532C2212yes—
48C22×C4⋊Q8C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50#2868C2212yes—
51#2862C2212yes—
52#2860C2212yes—
53#2858C2211yescharacteristic
54#2857C2212yes—
55#2857C2211yescharacteristic
56#2857C2212yes—
57#2856C2211yescharacteristic
58#2855C2212yes—
59#2854C2212yes—
60#2850C2212yes—
61#2838C2214yes—
62#2823C2214yes—
63#2795C2214yes—
64#2795C2214yes—
65#2795C2214yes—
66#2790C2214yes—
67#2790C2214yes—
68#2790C2214yes—
69#2787C2214yes—
70#2786C2214yes—
71#2784C2214yes—
72#2778C2214yes—
73#2761C2214yes—
74#2757C2214yes—
75#2753C2214yes—
76#2751C2214yes—
77#2742C2214yes—
78#2740C2214yes—
79#2737C2214yes—
80#2730C2214yes—
81#2717C2214yes—
82#2711C2214yes—
83#2708C2214yes—
84#2693C2214yes—
85#2688C2214yes—
86#2686C2214yes—
87#2686C2214yes—
88#2686C2214yes—
89#2676C2214yes—
90#2675C2214yes—
91#2674C2214yes—
92#2672C2214yes—
93#2671C2214yes—
94#2671C2214yes—
95#2671C2214yes—
96#2667C2214yes—
97#2663C2214yes—
98#2660C2214yes—
99#2653C2214yes—
100#2644C2212yes—
101#2638C2214yes—
102#2636C2214yes—
103#2636C2214yes—
104#2619C2212yes—
105#2603C2214yes—
106#2602C2214yes—
107#2600C2214yes—
108#2589C2214yes—
109#2585C2214yes—
110#2583C2214yes—
111#2580C2212yes—
112#2577C2214yes—
113#2576C2214yes—
114#2569C2214yes—
115#2567C2212yes—
116#2567C2212yes—
117#2564C2214yes—
118#2555C2214yes—
119#2552C2211yescharacteristic
120#2548C2212yes—
121#2548C2211yescharacteristic
122#2547C2212yes—
123#2547C2212yes—
124#2547C2211yescharacteristic
125#2546C2211yescharacteristic
126#2546C2211yescharacteristic
127#2546C2211yescharacteristic
128#2546C2211yescharacteristic
129#2545C2212yes—
130#2545C2212yes—
131#2545C2212yes—
132#2544C2212yes—
133#2543C2214yes—
134#2542C2211yescharacteristic
135#2541C2211yescharacteristic
136#2540C2212yes—
137#2538C2211yescharacteristic
138#2537C2214yes—
139#2537C2214yes—
140#2522C2214yes—
141#2518C2214yes—
142#2514C2212yes—
143#2513C2212yes—
144#2511C2212yes—
145#2509C2212yes—
146#2507C2212yes—
147#2502C2214yes—
148#2495C2212yes—
149#2494C2212yes—
150#2491C2212yes—
151#2491C2212yes—
152#2491C2212yes—
153#2491C2212yes—
154#2490C2212yes—
155#2486C2212yes—
156#2477C2212yes—
157#2475C2212yes—
158#2464C2214yes—
159#2464C2214yes—
160#2464C2214yes—
161#2464C2214yes—
162#2463C2212yes—
163#2461C2214yes—
164#2460C2212yes—
165#2459C2214yes—
166#2459C2214yes—
167#2456C2214yes—
168#2454C2212yes—
169#2454C2212yes—
170#2452C2212yes—
171#2452C2212yes—
172#2452C2211yescharacteristic
173#2450C2214yes—
174#2449C2214yes—
175#2448C2212yes—
176#2447C2212yes—
177#2446C2212yes—
178#2446C2211yescharacteristic
179#2446C2212yes—
180#2445C2212yes—
181#2443C2214yes—
182#2443C2214yes—
183#2442C2212yes—
184#2442C2212yes—
185#2440C2212yes—
186#2439C2211yescharacteristic
187#2436C2212yes—
188#2434C2212yes—
189#2434C2212yes—
190#2432C2212yes—
191#2432C2212yes—
192#2432C2211yescharacteristic
193#2432C2212yes—
194#2432C2212yes—
195#2432C2212yes—
196#2431C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yes—
204#2427C2212yes—
205#2427C2211yescharacteristic
206#2425C2214yes—
207#2423C2212yes—
208#2422C2212yes—
209#2422C2214yes—
210#2422C2214yes—
211#2422C2214yes—
212#2422C2214yes—
213#2422C2212yes—
214#2421C2211yescharacteristic
215#2416C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2416C2212yes—
220#2416C2212yes—
221#2415C2211yescharacteristic
222#2415C2212yes—
223#2414C2212yes—
224#2413C2214yes—
225#2409C2212yes—
226#2407C2212yes—
227#2407C2211yescharacteristic
228#2407C2212yes—
229#2398C2212yes—
230#2392C2212yes—
231#2392C2214yes—
232#2383C2214yes—
233#2376C2214yes—
234#2374C2212yes—
235#2373C2212yes—
236#2370C2211yescharacteristic
237#2370C2212yes—
238#2367C2212yes—
239#2366C2211yescharacteristic
240#2365C2211yescharacteristic
241#2364C2212yes—
242#2363C2211yescharacteristic
243#2361C2212yes—
244#2361C2212yes—
245#2361C2212yes—
246#2361C2212yes—
247#2361C2212yes—
248#2361C2211yescharacteristic
249#2361C2214yes—
250#2357C2211yescharacteristic
251#2355C2211yescharacteristic
252#2353C2212yes—
253#2352C2211yescharacteristic
254D4×C4⋊C4C2214yes—
255D4×C4⋊C4C2214yes—
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2212yes—
259#2347C2211yescharacteristic
260#2345C2211yescharacteristic
261#2345C2212yes—
262#2345C2212yes—
263#2339C2212yes—
264#2337C2214yes—
265#2334C2214yes—
266#2330C2212yes—
267#2325C2214yes—
268#2324C2212yes—
269#2322C2214yes—
270#2319C2212yes—
271#2319C2212yes—
272#2318C2214yes—
273#2317C2212yes—
274#2317C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2212yes—
277C4×#125C2211yescharacteristic
278C4×#126C2212yes—
279C4×#124C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290#2297C2212yes—
291#2295C2211yescharacteristic
292C2×#389C2212yes—
293#2290C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#553—28no—
305#553—216no—
306#550—44no—
307#548—48no—
308#548—48no—
309#547—44no—
310#547—48no—
311#547—48no—
312#533—44no—
313#532—44no—
314#532—48no—
315#532—48no—
316C2×C4⋊Q8—44no—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×#127C2312yes—
329C2×#127C2311yescharacteristic
330C2×#127C2312yes—
331C2×#126C2312yes—
332C2×#126C2314yes—
333C2×#125C2311yescharacteristic
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C4×#41—44no—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×#117C2311yescharacteristic
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2314yes—
433C22×C4⋊C4C2314yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2312yes—
439C22×C42C2312yes—
440C22×C42C2312yes—
441#401C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2312yes—
446#400C2314yes—
447#400C2312yes—
448#400C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2312yes—
526#393C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2312yes—
534#392C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2314yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2314yes—
730#384C2314yes—
731#384C2314yes—
732#384C2314yes—
733#384C2312yes—
734#383C2312yes—
735#383C2314yes—
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2314yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819#376C2312yes—
820C2×#95C2314yes—
821C2×#95C2312yes—
822C43C2312yes—
823C43C2311yescharacteristic
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C22×Q8—44no—
837C22×Q8—44no—
838C22×Q8—44no—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2412yes—
844C22×Q8C2414yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C4⋊Q8—24no—
883C4⋊Q8—24no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—42no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889C4⋊Q8—44no—
890C4⋊Q8—42no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893#127—28no—
894#127—24no—
895#127—44no—
896#126—28no—
897#126—216no—
898#125—24no—
899#125—28no—
900#125—44no—
901#124—24no—
902#124—28no—
903#124—44no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—48no—
908#124—48no—
909#124—48no—
910#123—216no—
911#123—28no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917C22⋊Q8—24no—
918C22⋊Q8—28no—
919C22⋊Q8—48no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—48no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929#121—24no—
930#121—28no—
931#121—24no—
932#121—24no—
933#121—28no—
934#121—28no—
935#121—216no—
936#121—28no—
937#121—44no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952C4×Q8—24no—
953C4×Q8—24no—
954C4×Q8—44no—
955C4×Q8—42no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—28no—
961C4×D4—24no—
962C4×D4—28no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—216no—
966C4×D4—28no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—42no—
980C4×D4—44no—
981C4×D4—48no—
982C4×D4—48no—
983C4×D4—48no—
984C4×D4—48no—
985C4×D4—48no—
986C4×D4—48no—
987#117—24no—
988#117—44no—
989#117—44no—
990#117—42no—
991#117#4118yescomplemented
992C2×C4⋊C4—28no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—48no—
998C2×C4⋊C4—48no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C42—24no—
1127C2×C42—24no—
1128C2×C42—44no—
1129C2×C42—44no—
1130C2×C42—44no—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2412yes—
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24C2512yes—
1226C24C2514yes—
1227C24C2511yescharacteristic
1228C24C2512yes—
1229C24C2511yescharacteristic
1230#41—416no—
1231#41—816no—
1232#41—816no—
1233#41—816no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—42no—
1252C2×Q8—816no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—41no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4H(5,𝔽2)14yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—28no—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—22no—
1330C22×C4—28no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—42no—
1334C22×C4—41no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—41no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4C2×#4114yes—
1363C22×C4H(5,𝔽2)14yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2514yes—
1382C22×C4C2514yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—28no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—28no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4C2×#4114yes—
1456C4⋊C4C2×#4114yes—
1457C4⋊C42−1+414yes—
1458C22⋊C4—22no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—22no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—22no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—41no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4C2×#4118yes—
1520C42—22no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—22no—
1535C42—24no—
1536C42—22no—
1537C42—24no—
1538C42—42no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—42no—
1545C42—41no—
1546C42—41no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42C2×#4118yes—
1551C42H(5,𝔽2)14yes—
1552C23—22no—
1553C23—21no—
1554C23—22no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—22no—
1569C23—21no—
1570C23—22no—
1571C23—24no—
1572C23—22no—
1573C23—22no—
1574C23—24no—
1575C23—24no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—24no—
1580C23—22no—
1581C23—24no—
1582C23—24no—
1583C23—22no—
1584C23C22×#4112yes—
1585C23C2×H(5,𝔽2)12yes—
1586C23C2×H(5,𝔽2)14yes—
1587C23C2611yescharacteristic
1588Q8—48no—
1589Q8—48no—
1590Q8—44no—
1591Q8—44no—
1592Q8—84no—
1593Q8—88no—
1594D4—28no—
1595D4—416no—
1596D4—416no—
1597D4—48no—
1598D4—48no—
1599D4—44no—
1600D4—48no—
1601D4—44no—
1602D4—48no—
1603D4—48no—
1604D4—84no—
1605D4—84no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—88no—
1610D4—164no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—28no—
1626C2×C4—28no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—21no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—44no—
1691C2×C4—48no—
1692C2×C4—44no—
1693C2×C4—48no—
1694C2×C4—44no—
1695C2×C4—48no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—84no—
1700C2×C4—88no—
1701C2×C4—88no—
1702C2×C4—82no—
1703C2×C4—88no—
1704C2×C4—88no—
1705C2×C4—84no—
1706C2×C4—88no—
1707C2×C4—88no—
1708C2×C4C22×#4112yes—
1709C2×C4C22×#4114yes—
1710C2×C4C22×#4114yes—
1711C2×C4C22×#4112yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×2−1+414yes—
1719C2×C4C2×2−1+412yes—
1720C2×C4#58512yes—
1721C22—22no—
1722C22—24no—
1723C22—24no—
1724C22—22no—
1725C22—24no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—42no—
1735C22—41no—
1736C22—42no—
1737C22—41no—
1738C22—42no—
1739C22—41no—
1740C22—41no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—44no—
1746C22—42no—
1747C22—44no—
1748C22—42no—
1749C22—44no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—44no—
1755C22—42no—
1756C22C23×#4111yescharacteristic
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C22×H(5,𝔽2)11yescharacteristic
1760C22C22×2−1+411yescharacteristic
1761C22C2×#58511yescharacteristic
1762C222−1+611yescharacteristic
1763C4—22no—
1764C4—24no—
1765C4—24no—
1766C4—22no—
1767C4—24no—
1768C4—22no—
1769C4—22no—
1770C4—42no—
1771C4—42no—
1772C4—41no—
1773C4—42no—
1774C4—44no—
1775C4—44no—
1776C4—41no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—41no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—44no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—41no—
1789C4—42no—
1790C4—42no—
1791C4#351114yes—
1792C4#353714yes—
1793C2—42no—
1794C2—44no—
1795C2—42no—
1796C2—82no—
1797C2—84no—
1798C2C2×#353711yescharacteristic
1799C2C2×#351111yescharacteristic
1800C2#6280011yescharacteristic
1801C2#6294611yescharacteristic
1802C2#6295411yescharacteristic
1803C2#6298511yescharacteristic
1804C2#6301311yescharacteristic
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. #59454C2semidirect
2. #59437C2semidirect
3. #59128C2semidirect
4. #59125C2semidirect
5. #59066C2semidirect
6. #50736C2semidirect
7. #50668C2semidirect
8. #46020C2semidirect
9. #45669C2semidirect
10. #45378C2semidirect
11. #45374C2semidirect
12. #43451C2semidirect
13. #42952C2semidirect
14. #42537C2semidirect
15. #41112C2semidirect
16. #40117C2semidirect
17. #39956C2semidirect
18. #39864C2semidirect
19. #39725C2semidirect
20. #39532C2semidirect
21. #39052C2semidirect
22. #38987C2semidirect
23. #36599C2semidirect
24. #36472C2semidirect
25. #36259C2semidirect
26. #36127C2semidirect
27. #36125C2semidirect
28. #36122C2semidirect
29. #35281C2semidirect
30. #35176C2semidirect
31. #35046C2semidirect
32. #34937C2semidirect
33. #34720C2semidirect
34. #34461C2semidirect
35. C4×#553C2semidirect
991. #117#41semidirect

Maximal subgroups

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

subgroupindex
#594542
#594372
#591282
#591252
#590662
#507362
#506682
#460202
#456692
#453782
#453742
#434512
#429522
#425372
#411122
#401172
#399562
#398642
#397252
#395322
#390522
#389872
#365992
#364722
#362592
#361272
#361252
#361222
#352812
#351762
#350462
#349372
#347202
#344612
C4×#5532