Finite Group Databasebeta

← #8467015

Subgroups — #8467015

Order 512.

4571 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59435C211yesmaximal, characteristic, complemented
2#59135C211yesmaximal, characteristic, complemented
3#59065C211yesmaximal, characteristic, complemented
4#56887C214yesmaximal, complemented
5#54892C214yesmaximal, complemented
6#54087C214yesmaximal, complemented
7#53089C212yesmaximal, complemented
8#53056C212yesmaximal, complemented
9#48012C214yesmaximal, complemented
10#45682C212yesmaximal, complemented
11#45623C212yesmaximal, complemented
12#45310C212yesmaximal, complemented
13#45158C212yesmaximal, complemented
14#42974C212yesmaximal, complemented
15#42896C212yesmaximal, complemented
16#42781C212yesmaximal, complemented
17#42746C212yesmaximal, complemented
18#39938C212yesmaximal, complemented
19#39935C212yesmaximal, complemented
20#39607C211yesmaximal, characteristic, complemented
21#39203C211yesmaximal, characteristic, complemented
22#39156C211yesmaximal, characteristic, complemented
23#39136C211yesmaximal, characteristic, complemented
24#37879C212yesmaximal, complemented
25#37859C212yesmaximal, complemented
26#37632C211yesmaximal, characteristic, complemented
27#37371C212yesmaximal, complemented
28#37282C212yesmaximal, complemented
29#36185C211yesmaximal, characteristic, complemented
30#36160C211yesmaximal, characteristic, complemented
31#36129C211yesmaximal, characteristic, complemented
32#35207C211yesmaximal, characteristic, complemented
33#35172C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#555C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic, complemented
40C2×#529C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2862C2211yescharacteristic, complemented
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic, complemented
45#2854C2212yes—
46#2851C2212yescomplemented
47#2850C2212yes—
48#2848C2212yes—
49#2848C2212yes—
50#2847C2212yes—
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2830C2214yescomplemented
54#2829C2214yes—
55#2827C2214yescomplemented
56#2827C2214yescomplemented
57#2821C2214yescomplemented
58#2820C2214yescomplemented
59#2808C2214yes—
60#2800C2214yes—
61#2798C2214yescomplemented
62#2797C2214yes—
63#2788C2214yescomplemented
64#2784C2214yes—
65#2783C2214yescomplemented
66#2780C2214yes—
67#2779C2214yes—
68#2777C2214yescomplemented
69#2776C2214yescomplemented
70#2775C2214yescomplemented
71#2775C2214yescomplemented
72#2772C2214yescomplemented
73#2772C2214yescomplemented
74#2768C2214yescomplemented
75#2765C2214yescomplemented
76#2761C2214yescomplemented
77#2757C2214yescomplemented
78#2755C2214yescomplemented
79#2754C2214yescomplemented
80#2751C2214yescomplemented
81#2750C2214yescomplemented
82#2749C2214yes—
83#2745C2214yescomplemented
84#2743C2214yescomplemented
85#2743C2214yescomplemented
86#2740C2214yescomplemented
87#2739C2214yescomplemented
88#2736C2214yes—
89#2735C2214yes—
90#2735C2214yes—
91#2731C2214yescomplemented
92#2727C2214yescomplemented
93#2725C2214yescomplemented
94#2723C2214yes—
95#2715C2214yescomplemented
96#2710C2214yes—
97#2706C2214yescomplemented
98#2705C2214yescomplemented
99#2704C2214yes—
100#2701C2214yescomplemented
101#2697C2214yes—
102#2697C2214yes—
103#2694C2214yescomplemented
104#2693C2214yescomplemented
105#2685C2214yes—
106#2684C2214yes—
107#2678C2214yes—
108#2661C2214yes—
109#2660C2212yescomplemented
110#2654C2214yescomplemented
111#2653C2214yescomplemented
112#2652C2214yescomplemented
113#2651C2214yes—
114#2644C2212yes—
115#2644C2214yescomplemented
116#2640C2212yes—
117#2629C2212yes—
118#2628C2212yescomplemented
119#2628C2212yescomplemented
120#2626C2214yes—
121#2625C2212yescomplemented
122#2620C2212yescomplemented
123#2614C2214yescomplemented
124#2608C2214yescomplemented
125#2604C2214yescomplemented
126#2588C2214yescomplemented
127#2587C2214yes—
128#2585C2214yescomplemented
129#2580C2214yes—
130#2578C2212yes—
131#2576C2214yes—
132#2576C2212yescomplemented
133#2575C2214yescomplemented
134#2574C2214yes—
135#2571C2212yescomplemented
136#2571C2212yescomplemented
137#2570C2212yescomplemented
138#2570C2211yescharacteristic, complemented
139#2567C2211yescharacteristic, complemented
140#2567C2211yescharacteristic, complemented
141#2566C2212yes—
142#2566C2212yes—
143#2566C2211yescharacteristic, complemented
144#2563C2211yescharacteristic
145#2563C2211yescharacteristic
146#2563C2211yescharacteristic
147#2563C2211yescharacteristic, complemented
148#2562C2211yescharacteristic
149#2558C2214yescomplemented
150#2554C2214yes—
151#2552C2212yescomplemented
152#2552C2211yescharacteristic, complemented
153#2550C2212yescomplemented
154#2542C2211yescharacteristic
155#2542C2211yescharacteristic
156#2540C2212yescomplemented
157#2538C2212yes—
158#2538C2212yes—
159#2538C2212yescomplemented
160#2538C2212yescomplemented
161#2538C2212yescomplemented
162#2537C2211yescharacteristic
163#2535C2211yescharacteristic
164#2530C2214yes—
165#2527C2214yescomplemented
166#2526C2214yescomplemented
167#2521C2214yescomplemented
168#2521C2214yescomplemented
169#2515C2212yescomplemented
170#2513C2212yes—
171#2513C2212yes—
172#2512C2212yes—
173#2507C2212yescomplemented
174#2506C2212yescomplemented
175#2503C2212yescomplemented
176#2501C2212yes—
177#2500C2212yes—
178#2499C2212yescomplemented
179#2499C2212yescomplemented
180#2497C2212yes—
181#2497C2212yes—
182#2497C2212yescomplemented
183#2497C2211yescharacteristic, complemented
184#2496C2212yescomplemented
185#2495C2212yescomplemented
186#2494C2211yescharacteristic
187#2494C2212yescomplemented
188#2494C2212yescomplemented
189#2492C2212yes—
190#2491C2212yes—
191#2491C2212yescomplemented
192#2490C2212yes—
193#2490C2212yes—
194#2489C2212yescomplemented
195#2489C2212yescomplemented
196#2486C2212yescomplemented
197#2486C2212yescomplemented
198#2485C2212yes—
199#2480C2212yes—
200#2472C2214yes—
201#2469C2214yescomplemented
202#2468C2212yes—
203#2459C2214yes—
204#2458C2214yescomplemented
205#2457C2212yes—
206#2457C2212yes—
207#2454C2211yescharacteristic
208#2453C2212yescomplemented
209#2451C2212yescomplemented
210#2448C2212yes—
211#2448C2212yescomplemented
212#2447C2211yescharacteristic
213#2446C2212yescomplemented
214#2442C2211yescharacteristic
215#2442C2212yescomplemented
216#2441C2212yescomplemented
217#2441C2212yescomplemented
218#2441C2212yescomplemented
219#2439C2212yes—
220#2439C2212yescomplemented
221#2439C2212yescomplemented
222#2436C2214yescomplemented
223#2435C2211yescharacteristic
224#2429C2212yes—
225#2427C2211yescharacteristic
226#2427C2212yescomplemented
227#2427C2212yescomplemented
228#2426C2212yes—
229#2426C2212yes—
230#2422C2212yescomplemented
231#2422C2211yescharacteristic, complemented
232#2421C2212yes—
233#2421C2212yescomplemented
234#2421C2212yescomplemented
235#2420C2211yescharacteristic
236#2420C2212yes—
237#2420C2211yescharacteristic
238#2418C2212yes—
239#2417C2212yes—
240#2417C2211yescharacteristic
241#2416C2212yes—
242#2416C2212yescomplemented
243#2415C2212yes—
244#2415C2212yescomplemented
245#2414C2212yes—
246#2414C2212yes—
247#2409C2212yes—
248#2408C2212yes—
249#2408C2211yescharacteristic
250#2401C2212yescomplemented
251#2395C2212yes—
252#2392C2212yes—
253#2392C2212yes—
254#2377C2214yescomplemented
255#2369C2211yescharacteristic, complemented
256#2365C2211yescharacteristic, complemented
257#2363C2212yes—
258#2362C2212yescomplemented
259#2362C2212yescomplemented
260#2360C2212yescomplemented
261#2356C2212yescomplemented
262#2354C2211yescharacteristic
263#2354C2212yes—
264#2352C2212yes—
265#2352C2212yes—
266#2352C2212yescomplemented
267#2352C2212yescomplemented
268#2351C2212yescomplemented
269Q8×C4⋊C4C2211yescharacteristic, complemented
270#2346C2212yescomplemented
271Q8×C22⋊C4C2212yescomplemented
272#2335C2214yescomplemented
273#2330C2212yescomplemented
274#2324C2212yescomplemented
275#2323C2212yes—
276#2323C2212yescomplemented
277#2323C2212yescomplemented
278#2317C2212yes—
279#2314C2212yescomplemented
280#2309C2212yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#125C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#123C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yes—
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2285C2211yescharacteristic
293#2285C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295#2280C2212yes—
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—44no—
303#555—44no—
304#533—44no—
305C2×C4⋊Q8—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312#529—44no—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#120C2312yes—
352C2×#120C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×D4—44no—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#401C2314yes—
393#401C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2314yes—
533#391C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2314yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2312yes—
709#383C2312yes—
710#383C2314yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#381C2312yes—
726#381C2314yes—
727#381C2312yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#379C2314yes—
764#379C2314yes—
765#379C2312yes—
766#379C2314yes—
767#379C2312yes—
768#379C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2314yes—
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8—82no—
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4—42no—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4—44no—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863#126—44no—
864#126—48no—
865#126—84no—
866#125—44no—
867#125—42no—
868#125—42no—
869#125—44no—
870#125—84no—
871#124—42no—
872#124—42no—
873#124—44no—
874#124—48no—
875#124—84no—
876#123—44no—
877#123—44no—
878#123—48no—
879#123—84no—
880#123—84no—
881C22⋊Q8—24no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—42no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—82no—
892#121—44no—
893#121—42no—
894#121—44no—
895#121—42no—
896#121—42no—
897#121—42no—
898#121—44no—
899#121—44no—
900#121—48no—
901#120—44no—
902#120—84no—
903C4×Q8—24no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—82no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—44no—
925C4×D4—42no—
926#117—44no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—44no—
934C2×C4⋊C4—42no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C22⋊C4—44no—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—44no—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24—24no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—42no—
1198C2×Q8—44no—
1199C2×Q8—816no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—42no—
1217C2×D4—41no—
1218C2×D4—42no—
1219C2×D4—416no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—28no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—816no—
1279C22×C42−1+414yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—24no—
1452C42—22no—
1453C42—24no—
1454C42—22no—
1455C42—24no—
1456C42—24no—
1457C42—22no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—41no—
1465C42—44no—
1466C42—44no—
1467C42—41no—
1468C42—44no—
1469C42—44no—
1470C42H(5,𝔽2)14yes—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—48no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23—84no—
1510C23—84no—
1511C23C2×2−1+412yes—
1512C23#58512yes—
1513C23C2611yescharacteristic
1514Q8—48no—
1515Q8—44no—
1516Q8—48no—
1517Q8—84no—
1518Q8—88no—
1519D4—48no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—164no—
1529D4—164no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—28no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—82no—
1621C2×C4—88no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4C2×H(5,𝔽2)12yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×2−1+412yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4#58512yes—
1633C2×C4#58512yes—
1634C2×C4#58512yes—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—816no—
1671C22C22×H(5,𝔽2)11yescharacteristic
1672C22C22×2−1+411yescharacteristic
1673C22C2×#58511yescharacteristic
1674C22C2×#58511yescharacteristic
1675C22C2×#58511yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22H(7,𝔽2)11yescharacteristic
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—44no—
1688C4—42no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—44no—
1697C4—44no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—44no—
1706C4#354114yes—
1707C4#356214yes—
1708C2—42no—
1709C2—42no—
1710C2—82no—
1711C2—82no—
1712C2—82no—
1713C2C2×#354111yescharacteristic
1714C2C2×#356211yescharacteristic
1715C2#6283111yescharacteristic
1716C2#6292411yescharacteristic
1717C2#6292911yescharacteristic
1718C2#6293711yescharacteristic
1719C2#6302811yescharacteristic
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. #59435C2semidirect
2. #59135C2semidirect
3. #59065C2semidirect
4. #56887C2semidirect
5. #54892C2semidirect
6. #54087C2semidirect
7. #53089C2semidirect
8. #53056C2semidirect
9. #48012C2semidirect
10. #45682C2semidirect
11. #45623C2semidirect
12. #45310C2semidirect
13. #45158C2semidirect
14. #42974C2semidirect
15. #42896C2semidirect
16. #42781C2semidirect
17. #42746C2semidirect
18. #39938C2semidirect
19. #39935C2semidirect
20. #39607C2semidirect
21. #39203C2semidirect
22. #39156C2semidirect
23. #39136C2semidirect
24. #37879C2semidirect
25. #37859C2semidirect
26. #37632C2semidirect
27. #37371C2semidirect
28. #37282C2semidirect
29. #36185C2semidirect
30. #36160C2semidirect
31. #36129C2semidirect
32. #35207C2semidirect
33. #35172C2semidirect
34. #34917C2semidirect
35. #34700C2semidirect
36. C2×#556C22semidirect
39. C22×C4⋊Q8C22semidirect
42. #2862C22semidirect
44. #2857C22semidirect
46. #2851C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2830C22semidirect
55. #2827C22semidirect
56. #2827C22semidirect
57. #2821C22semidirect
58. #2820C22semidirect
61. #2798C22semidirect
63. #2788C22semidirect
65. #2783C22semidirect
68. #2777C22semidirect
69. #2776C22semidirect
70. #2775C22semidirect
71. #2775C22semidirect
72. #2772C22semidirect
73. #2772C22semidirect
74. #2768C22semidirect
75. #2765C22semidirect
76. #2761C22semidirect
77. #2757C22semidirect
78. #2755C22semidirect
79. #2754C22semidirect
80. #2751C22semidirect
81. #2750C22semidirect
83. #2745C22semidirect
84. #2743C22semidirect
85. #2743C22semidirect
86. #2740C22semidirect
87. #2739C22semidirect
91. #2731C22semidirect
92. #2727C22semidirect
93. #2725C22semidirect
95. #2715C22semidirect
97. #2706C22semidirect
98. #2705C22semidirect
100. #2701C22semidirect
103. #2694C22semidirect
104. #2693C22semidirect
109. #2660C22semidirect
110. #2654C22semidirect
111. #2653C22semidirect
112. #2652C22semidirect
115. #2644C22semidirect
118. #2628C22semidirect
119. #2628C22semidirect
121. #2625C22semidirect
122. #2620C22semidirect
123. #2614C22semidirect
124. #2608C22semidirect
125. #2604C22semidirect
126. #2588C22semidirect
128. #2585C22semidirect
132. #2576C22semidirect
133. #2575C22semidirect
135. #2571C22semidirect
136. #2571C22semidirect
137. #2570C22semidirect
138. #2570C22semidirect
139. #2567C22semidirect
140. #2567C22semidirect
143. #2566C22semidirect
147. #2563C22semidirect
149. #2558C22semidirect
151. #2552C22semidirect
152. #2552C22semidirect
153. #2550C22semidirect
156. #2540C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
161. #2538C22semidirect
165. #2527C22semidirect
166. #2526C22semidirect
167. #2521C22semidirect
168. #2521C22semidirect
169. #2515C22semidirect
173. #2507C22semidirect
174. #2506C22semidirect
175. #2503C22semidirect
178. #2499C22semidirect
179. #2499C22semidirect
182. #2497C22semidirect
183. #2497C22semidirect
184. #2496C22semidirect
185. #2495C22semidirect
187. #2494C22semidirect
188. #2494C22semidirect
191. #2491C22semidirect
194. #2489C22semidirect
195. #2489C22semidirect
196. #2486C22semidirect
197. #2486C22semidirect
201. #2469C22semidirect
204. #2458C22semidirect
208. #2453C22semidirect
209. #2451C22semidirect
211. #2448C22semidirect
213. #2446C22semidirect
215. #2442C22semidirect
216. #2441C22semidirect
217. #2441C22semidirect
218. #2441C22semidirect
220. #2439C22semidirect
221. #2439C22semidirect
222. #2436C22semidirect
226. #2427C22semidirect
227. #2427C22semidirect
230. #2422C22semidirect
231. #2422C22semidirect
233. #2421C22semidirect
234. #2421C22semidirect
242. #2416C22semidirect
244. #2415C22semidirect
250. #2401C22semidirect
254. #2377C22semidirect
255. #2369C22semidirect
256. #2365C22semidirect
258. #2362C22semidirect
259. #2362C22semidirect
260. #2360C22semidirect
261. #2356C22semidirect
266. #2352C22semidirect
267. #2352C22semidirect
268. #2351C22semidirect
269. Q8×C4⋊C4C22semidirect
270. #2346C22semidirect
271. Q8×C22⋊C4C22semidirect
272. #2335C22semidirect
273. #2330C22semidirect
274. #2324C22semidirect
276. #2323C22semidirect
277. #2323C22semidirect
279. #2314C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×#125C22semidirect
285. C4×#123C22semidirect
288. C4×#121C22semidirect
293. #2285C22semidirect
294. #2283C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594352
#591352
#590652
#568872
#548922
#540872
#530892
#530562
#480122
#456822
#456232
#453102
#451582
#429742
#428962
#427812
#427462
#399382
#399352
#396072
#392032
#391562
#391362
#378792
#378592
#376322
#373712
#372822
#361852
#361602
#361292
#352072
#351722
#349172
#347002