Finite Group Databasebeta

← #7746756

Subgroups — #7746756

Order 512.

4821 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45391C212yesmaximal, complemented
2#45382C212yesmaximal, complemented
3#45358C212yesmaximal, complemented
4#45294C212yesmaximal, complemented
5#45286C212yesmaximal, complemented
6#45283C212yesmaximal, complemented
7#45265C212yesmaximal, complemented
8#45203C212yesmaximal, complemented
9#45075C212yesmaximal, complemented
10#45054C212yesmaximal, complemented
11#45024C212yesmaximal, complemented
12#45008C212yesmaximal, complemented
13#42869C212yesmaximal, complemented
14#42830C212yesmaximal, complemented
15#42621C212yesmaximal, complemented
16#42599C212yesmaximal, complemented
17#42569C212yesmaximal, complemented
18#42541C212yesmaximal, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36574C211yesmaximal, characteristic, complemented
21#36211C211yesmaximal, characteristic, complemented
22#36189C211yesmaximal, characteristic, complemented
23#36181C211yesmaximal, characteristic, complemented
24#36150C211yesmaximal, characteristic, complemented
25#36129C211yesmaximal, characteristic, complemented
26#36122C211yesmaximal, characteristic, complemented
27#35983C212yesmaximal, complemented
28#35978C212yesmaximal, complemented
29#35884C212yesmaximal, complemented
30#35880C212yesmaximal, complemented
31#35802C212yesmaximal, complemented
32#35798C212yesmaximal, complemented
33#35291C211yesmaximal, characteristic, complemented
34#35288C211yesmaximal, characteristic, complemented
35#35288C211yesmaximal, characteristic, complemented
36#34551C211yesmaximal, characteristic, complemented
37#34225C211yesmaximal, characteristic, complemented
38#34216C211yesmaximal, characteristic, complemented
39#34207C211yesmaximal, characteristic, complemented
40C2×#552C2212yes—
41C2×#548C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic
45C2×#520C2212yes—
46#2862C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2856C2211yescharacteristic
57#2856C2211yescharacteristic
58#2836C2214yes—
59#2832C2214yes—
60#2807C2214yes—
61#2800C2214yes—
62#2798C2214yes—
63#2787C2214yes—
64#2784C2214yes—
65#2783C2214yes—
66#2778C2214yes—
67#2765C2214yes—
68#2764C2214yes—
69#2761C2214yes—
70#2757C2214yes—
71#2754C2214yes—
72#2751C2214yes—
73#2748C2214yes—
74#2747C2214yes—
75#2745C2214yes—
76#2744C2214yes—
77#2742C2214yes—
78#2740C2214yes—
79#2737C2214yes—
80#2710C2214yes—
81#2703C2214yes—
82#2702C2214yes—
83#2690C2214yes—
84#2654C2214yes—
85#2654C2214yes—
86#2650C2214yes—
87#2648C2214yes—
88#2645C2212yes—
89#2644C2212yes—
90#2644C2212yes—
91#2630C2214yes—
92#2625C2214yes—
93#2625C2212yes—
94#2624C2212yes—
95#2624C2212yes—
96#2602C2214yes—
97#2596C2214yes—
98#2595C2214yes—
99#2594C2214yes—
100#2592C2212yes—
101#2592C2212yes—
102#2587C2214yes—
103#2584C2212yes—
104#2584C2212yes—
105#2581C2212yes—
106#2580C2212yes—
107#2578C2214yes—
108#2577C2214yes—
109#2570C2212yes—
110#2565C2212yes—
111#2550C2212yes—
112#2545C2212yes—
113#2540C2212yes—
114#2535C2212yes—
115#2531C2214yes—
116#2530C2214yes—
117#2527C2214yes—
118#2526C2214yes—
119#2518C2214yes—
120#2516C2214yes—
121#2515C2214yes—
122#2514C2212yes—
123#2513C2212yes—
124#2513C2212yes—
125#2513C2214yes—
126#2513C2212yes—
127#2513C2212yes—
128#2513C2212yes—
129#2513C2212yes—
130#2511C2212yes—
131#2509C2212yes—
132#2509C2212yes—
133#2509C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2508C2212yes—
137#2507C2212yes—
138#2506C2212yes—
139#2506C2212yes—
140#2503C2212yes—
141#2503C2214yes—
142#2499C2212yes—
143#2497C2212yes—
144#2496C2212yes—
145#2496C2212yes—
146#2495C2212yes—
147#2494C2212yes—
148#2492C2212yes—
149#2491C2212yes—
150#2491C2212yes—
151#2490C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2490C2212yes—
155#2490C2212yes—
156#2489C2212yes—
157#2487C2214yes—
158#2487C2212yes—
159#2486C2212yes—
160#2486C2212yes—
161#2485C2214yes—
162#2481C2214yes—
163#2479C2214yes—
164#2476C2214yes—
165#2475C2214yes—
166#2474C2214yes—
167#2473C2214yes—
168#2467C2214yes—
169#2454C2214yes—
170#2454C2212yes—
171#2454C2212yes—
172#2454C2212yes—
173#2453C2212yes—
174#2453C2212yes—
175#2453C2212yes—
176#2452C2212yes—
177#2452C2212yes—
178#2451C2212yes—
179#2448C2212yes—
180#2448C2212yes—
181#2448C2212yes—
182#2448C2212yes—
183#2448C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2447C2214yes—
187#2447C2212yes—
188#2447C2214yes—
189#2447C2212yes—
190#2446C2212yes—
191#2442C2212yes—
192#2442C2212yes—
193#2441C2212yes—
194#2439C2212yes—
195#2436C2212yes—
196#2432C2212yes—
197#2429C2212yes—
198#2427C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2423C2212yes—
206#2421C2212yes—
207#2420C2214yes—
208#2420C2214yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2409C2212yes—
221#2407C2212yes—
222#2402C2211yescharacteristic
223#2402C2211yescharacteristic
224#2402C2211yescharacteristic
225#2401C2211yescharacteristic
226#2401C2211yescharacteristic
227#2401C2211yescharacteristic
228#2401C2211yescharacteristic
229#2401C2211yescharacteristic
230#2401C2211yescharacteristic
231#2398C2211yescharacteristic
232#2398C2211yescharacteristic
233#2398C2211yescharacteristic
234#2396C2211yescharacteristic
235#2396C2211yescharacteristic
236#2396C2211yescharacteristic
237#2395C2211yescharacteristic
238#2395C2214yes—
239#2395C2214yes—
240#2395C2211yescharacteristic
241#2395C2211yescharacteristic
242#2395C2211yescharacteristic
243#2395C2211yescharacteristic
244#2395C2211yescharacteristic
245#2392C2211yescharacteristic
246#2392C2211yescharacteristic
247#2392C2211yescharacteristic
248#2370C2212yes—
249#2370C2212yes—
250#2370C2212yes—
251#2370C2212yes—
252#2369C2212yes—
253#2369C2212yes—
254#2367C2212yes—
255#2367C2212yes—
256#2367C2212yes—
257#2365C2212yes—
258#2365C2212yes—
259#2363C2212yes—
260#2363C2212yes—
261#2363C2212yes—
262#2362C2212yes—
263#2362C2212yes—
264#2361C2212yes—
265#2361C2212yes—
266#2361C2212yes—
267#2361C2212yes—
268#2361C2212yes—
269#2361C2212yes—
270#2360C2212yes—
271#2360C2212yes—
272#2357C2212yes—
273#2357C2212yes—
274#2356C2212yes—
275#2354C2212yes—
276#2354C2212yes—
277#2352C2212yes—
278#2352C2212yes—
279#2351C2212yes—
280#2351C2212yes—
281D4×C4⋊C4C2212yes—
282D4×C4⋊C4C2212yes—
283#2347C2212yes—
284#2346C2212yes—
285#2345C2212yes—
286#2345C2212yes—
287#2345C2212yes—
288#2344C2212yes—
289#2344C2212yes—
290#2341C2212yes—
291Q8×C22⋊C4C2212yes—
292Q8×C22⋊C4C2212yes—
293Q8×C22⋊C4C2212yes—
294#2331C2212yes—
295#2331C2212yes—
296#2326C2212yes—
297#2326C2212yes—
298#2324C2212yes—
299#2324C2212yes—
300#2323C2212yes—
301#2323C2212yes—
302#2323C2212yes—
303#2320C2212yes—
304#2320C2212yes—
305#2319C2212yes—
306#2319C2212yes—
307#2316C2212yes—
308#2311C2212yes—
309C4×C4⋊Q8C2211yescharacteristic
310C4×C4⋊Q8C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×C4⋊Q8C2211yescharacteristic
316C4×C4⋊Q8C2211yescharacteristic
317C4×#127C2211yescharacteristic
318C4×#127C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321C2×#384C2211yescharacteristic
322#2276C2212yes—
323#2274C2212yes—
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2312yes—
332C23×Q8C2312yes—
333#552—48no—
334#548—48no—
335#533—28no—
336#532—28no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#126C2314yes—
346C2×#125C2312yes—
347C2×#125C2312yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2314yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357C2×#123C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374#520—48no—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2314yes—
417C2×#117C2314yes—
418C2×#117C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2314yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428#401C2311yescharacteristic
429#401C2314yes—
430#401C2311yescharacteristic
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2311yescharacteristic
440#400C2311yescharacteristic
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2311yescharacteristic
445#400C2311yescharacteristic
446#400C2311yescharacteristic
447#400C2311yescharacteristic
448#400C2311yescharacteristic
449#400C2311yescharacteristic
450#400C2311yescharacteristic
451#400C2311yescharacteristic
452#400C2311yescharacteristic
453#400C2311yescharacteristic
454#400C2311yescharacteristic
455#400C2311yescharacteristic
456#400C2311yescharacteristic
457#400C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2311yescharacteristic
463#399C2311yescharacteristic
464#399C2311yescharacteristic
465#399C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2311yescharacteristic
470#398C2311yescharacteristic
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2311yescharacteristic
477#398C2314yes—
478#398C2311yescharacteristic
479#398C2311yescharacteristic
480#398C2311yescharacteristic
481#398C2311yescharacteristic
482#398C2311yescharacteristic
483#398C2311yescharacteristic
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2311yescharacteristic
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2311yescharacteristic
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2311yescharacteristic
505#397C2311yescharacteristic
506#397C2311yescharacteristic
507#397C2314yes—
508#397C2311yescharacteristic
509#397C2311yescharacteristic
510#397C2311yescharacteristic
511#397C2311yescharacteristic
512#397C2311yescharacteristic
513#397C2311yescharacteristic
514#397C2311yescharacteristic
515#397C2311yescharacteristic
516#397C2311yescharacteristic
517#397C2311yescharacteristic
518#397C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2311yescharacteristic
525#396C2311yescharacteristic
526#396C2311yescharacteristic
527#396C2311yescharacteristic
528#396C2311yescharacteristic
529#396C2311yescharacteristic
530#396C2314yes—
531#396C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2311yescharacteristic
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2311yescharacteristic
541#394C2314yes—
542#394C2314yes—
543#394C2311yescharacteristic
544#394C2314yes—
545#394C2311yescharacteristic
546#394C2311yescharacteristic
547#394C2311yescharacteristic
548#394C2311yescharacteristic
549#394C2311yescharacteristic
550#394C2311yescharacteristic
551#394C2311yescharacteristic
552#394C2314yes—
553#394C2314yes—
554#393C2311yescharacteristic
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2311yescharacteristic
560#393C2311yescharacteristic
561#392C2314yes—
562#392C2311yescharacteristic
563#392C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#391C2312yes—
577#391C2314yes—
578#391C2314yes—
579#391C2314yes—
580#391C2312yes—
581#391C2314yes—
582#391C2314yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2312yes—
748#384C2312yes—
749#383C2314yes—
750#383C2314yes—
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#382C2314yes—
755#382C2314yes—
756#382C2312yes—
757#382C2312yes—
758#382C2312yes—
759#382C2312yes—
760#382C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2311yescharacteristic
885#376C2311yescharacteristic
886#376C2314yes—
887#376C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C2×#41—28no—
893C2×#41—28no—
894C2×#41—44no—
895C22×Q8—28no—
896C22×Q8—44no—
897C22×Q8—44no—
898C22×Q8C2412yes—
899C22×Q8C2412yes—
900C22×Q8C2412yes—
901C22×Q8C2414yes—
902C22×Q8C2411yescharacteristic
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2411yescharacteristic
907C22×D4C2414yes—
908C22×D4C2411yescharacteristic
909C22×D4C2411yescharacteristic
910C22×D4C2414yes—
911C22×D4C2414yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2414yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—24no—
931C4⋊Q8#4118yes—
932#127—24no—
933#126—48no—
934#125—28no—
935#125—44no—
936#125—44no—
937#125—44no—
938#125—48no—
939#124—28no—
940#124—44no—
941#124—44no—
942#124—44no—
943#124—44no—
944#124—48no—
945#123—48no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—48no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953#121—28no—
954#121—28no—
955#121—28no—
956#121—48no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962C4×Q8—28no—
963C4×Q8—28no—
964C4×Q8—42no—
965C4×Q8—42no—
966C4×Q8—42no—
967C4×Q8—44no—
968C4×Q8—44no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×Q8—44no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—48no—
993C4×D4—48no—
994C4×D4—48no—
995#117—24no—
996#117—24no—
997#117—28no—
998#117—42no—
999#117—42no—
1000#117—42no—
1001#117—42no—
1002#117—48no—
1003#117—44no—
1004#117—48no—
1005#117—44no—
1006C2×C4⋊C4—28no—
1007C2×C4⋊C4—28no—
1008C2×C4⋊C4—28no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—48no—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C42—24no—
1145C2×C42—24no—
1146C2×C42—24no—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2414yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2414yes—
1190C2×C42C2414yes—
1191C2×C42C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24C2511yescharacteristic
1279C24C2514yes—
1280C24C2511yescharacteristic
1281C24C2511yescharacteristic
1282#41—432no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—28no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—41no—
1293C2×Q8—41no—
1294C2×Q8—41no—
1295C2×Q8—44no—
1296C2×Q8—44no—
1297C2×Q8—816no—
1298C2×Q8C2×#4118yes—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—28no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—28no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—28no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—28no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—28no—
1339C22×C4—28no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—28no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4H(5,𝔽2)14yes—
1367C22×C42−1+414yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2514yes—
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2514yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2514yes—
1393C22×C4C2514yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2514yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—28no—
1409C4⋊C4—28no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—28no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—44no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—41no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4C2×#4118yes—
1475C4⋊C4C2×#4118yes—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—28no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—28no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—28no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—44no—
1570C42—44no—
1571C42—44no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42—44no—
1576C42—44no—
1577C42—44no—
1578C42—44no—
1579C42C2×#4114yes—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—24no—
1594C23—21no—
1595C23—24no—
1596C23—21no—
1597C23—24no—
1598C23—21no—
1599C23—24no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23C2×H(5,𝔽2)12yes—
1607C23C2×2−1+412yes—
1608C23C2611yescharacteristic
1609Q8—216no—
1610Q8—44no—
1611Q8—48no—
1612Q8—48no—
1613Q8—88no—
1614D4—416no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—88no—
1622D4—164no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—28no—
1630C2×C4—28no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—416no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—88no—
1727C2×C4—88no—
1728C2×C4—164no—
1729C2×C4—164no—
1730C2×C4C22×#4118yes—
1731C2×C4C22×#4112yes—
1732C2×C4C22×#4112yes—
1733C2×C4C22×#4112yes—
1734C2×C4C2×H(5,𝔽2)12yes—
1735C2×C4C2×H(5,𝔽2)12yes—
1736C2×C4C2×2−1+412yes—
1737C2×C4C2×2−1+412yes—
1738C2×C4#58512yes—
1739C2×C4#58512yes—
1740C2×C4#58512yes—
1741C2×C4#58512yes—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—44no—
1757C22—41no—
1758C22—41no—
1759C22—44no—
1760C22—41no—
1761C22—44no—
1762C22—44no—
1763C22—41no—
1764C22—44no—
1765C22—41no—
1766C22—41no—
1767C22—44no—
1768C22—41no—
1769C22—44no—
1770C22C23×#4111yescharacteristic
1771C22C22×H(5,𝔽2)11yescharacteristic
1772C22C22×2−1+411yescharacteristic
1773C22C2×#58511yescharacteristic
1774C22C2×#58511yescharacteristic
1775C22C2×#58511yescharacteristic
1776C22C2×#58511yescharacteristic
1777C4—22no—
1778C4—28no—
1779C4—22no—
1780C4—41no—
1781C4—41no—
1782C4—44no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—44no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—44no—
1794C4—41no—
1795C4—44no—
1796C4—44no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—44no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4#351314yes—
1810C4#351614yes—
1811C4#352414yes—
1812C2—42no—
1813C2—42no—
1814C2—84no—
1815C2—81no—
1816C2C2×#351311yescharacteristic
1817C2C2×#351611yescharacteristic
1818C2C2×#352411yescharacteristic
1819C2#6283511yescharacteristic
1820C2#6283611yescharacteristic
1821C2#6283811yescharacteristic
1822C2#6283911yescharacteristic
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. #45391C2semidirect
2. #45382C2semidirect
3. #45358C2semidirect
4. #45294C2semidirect
5. #45286C2semidirect
6. #45283C2semidirect
7. #45265C2semidirect
8. #45203C2semidirect
9. #45075C2semidirect
10. #45054C2semidirect
11. #45024C2semidirect
12. #45008C2semidirect
13. #42869C2semidirect
14. #42830C2semidirect
15. #42621C2semidirect
16. #42599C2semidirect
17. #42569C2semidirect
18. #42541C2semidirect
19. #36609C2semidirect
20. #36574C2semidirect
21. #36211C2semidirect
22. #36189C2semidirect
23. #36181C2semidirect
24. #36150C2semidirect
25. #36129C2semidirect
26. #36122C2semidirect
27. #35983C2semidirect
28. #35978C2semidirect
29. #35884C2semidirect
30. #35880C2semidirect
31. #35802C2semidirect
32. #35798C2semidirect
33. #35291C2semidirect
34. #35288C2semidirect
35. #35288C2semidirect
36. #34551C2semidirect
37. #34225C2semidirect
38. #34216C2semidirect
39. #34207C2semidirect

Maximal subgroups

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

subgroupindex
#453912
#453822
#453582
#452942
#452862
#452832
#452652
#452032
#450752
#450542
#450242
#450082
#428692
#428302
#426212
#425992
#425692
#425412
#366092
#365742
#362112
#361892
#361812
#361502
#361292
#361222
#359832
#359782
#358842
#358802
#358022
#357982
#352912
#352882
#345512
#342252
#342162
#342072