Finite Group Databasebeta

← #8466880

Subgroups — #8466880

Order 512.

5016 conjugacy classes of subgroups.

The subgroup lattice has 1777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59143C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#55822C214yesmaximal, complemented
5#55597C214yesmaximal, complemented
6#55559C214yesmaximal, complemented
7#53088C212yesmaximal, complemented
8#53057C212yesmaximal, complemented
9#47901C214yesmaximal, complemented
10#46061C212yesmaximal, complemented
11#45642C212yesmaximal, complemented
12#45061C212yesmaximal, complemented
13#45057C212yesmaximal, complemented
14#42903C212yesmaximal, complemented
15#42680C212yesmaximal, complemented
16#42642C212yesmaximal, complemented
17#42629C212yesmaximal, complemented
18#39746C211yesmaximal, characteristic, complemented
19#39741C212yesmaximal, complemented
20#39730C212yesmaximal, complemented
21#39149C211yesmaximal, characteristic, complemented
22#39137C211yesmaximal, characteristic, complemented
23#39127C211yesmaximal, characteristic, complemented
24#39034C212yesmaximal, complemented
25#39030C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37368C212yesmaximal, complemented
28#37286C212yesmaximal, complemented
29#36469C211yesmaximal, characteristic, complemented
30#36460C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35197C211yesmaximal, characteristic, complemented
33#35191C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic, complemented
35#34803C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yescomplemented
38C2×#557C2211yescharacteristic, complemented
39C2×#556C2212yescomplemented
40C2×#546C2212yes—
41C2×#532C2211yescharacteristic
42C22×#127C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×#529C2211yescharacteristic, complemented
45#2861C2212yescomplemented
46#2860C2212yescomplemented
47#2858C2211yescharacteristic
48#2858C2212yescomplemented
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yescomplemented
52#2854C2212yescomplemented
53#2850C2212yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yescomplemented
57#2826C2214yescomplemented
58#2825C2214yescomplemented
59#2818C2214yes—
60#2816C2214yescomplemented
61#2813C2214yescomplemented
62#2803C2214yescomplemented
63#2803C2214yescomplemented
64#2801C2214yescomplemented
65#2797C2214yescomplemented
66#2795C2214yescomplemented
67#2781C2214yescomplemented
68#2781C2214yescomplemented
69#2779C2214yescomplemented
70#2778C2214yescomplemented
71#2778C2214yescomplemented
72#2776C2214yescomplemented
73#2756C2214yescomplemented
74#2750C2214yescomplemented
75#2746C2214yescomplemented
76#2741C2214yescomplemented
77#2741C2214yescomplemented
78#2739C2214yes—
79#2735C2214yes—
80#2735C2214yes—
81#2730C2214yescomplemented
82#2730C2214yescomplemented
83#2727C2214yescomplemented
84#2725C2214yescomplemented
85#2718C2214yescomplemented
86#2718C2214yescomplemented
87#2718C2214yescomplemented
88#2711C2214yescomplemented
89#2709C2214yes—
90#2707C2214yes—
91#2705C2214yescomplemented
92#2705C2214yescomplemented
93#2705C2214yescomplemented
94#2705C2214yescomplemented
95#2703C2214yescomplemented
96#2703C2214yescomplemented
97#2702C2214yescomplemented
98#2697C2214yes—
99#2694C2214yescomplemented
100#2694C2214yescomplemented
101#2693C2214yescomplemented
102#2693C2214yescomplemented
103#2687C2214yescomplemented
104#2685C2214yes—
105#2685C2214yes—
106#2685C2214yes—
107#2685C2214yes—
108#2682C2214yescomplemented
109#2678C2214yes—
110#2676C2214yescomplemented
111#2661C2214yescomplemented
112#2658C2212yescomplemented
113#2657C2212yes—
114#2649C2214yescomplemented
115#2649C2214yescomplemented
116#2648C2214yescomplemented
117#2648C2214yescomplemented
118#2645C2212yescomplemented
119#2641C2212yes—
120#2629C2212yescomplemented
121#2626C2214yes—
122#2624C2214yescomplemented
123#2620C2212yescomplemented
124#2619C2212yes—
125#2619C2212yes—
126#2613C2214yes—
127#2603C2214yescomplemented
128#2602C2214yescomplemented
129#2592C2212yescomplemented
130#2576C2214yescomplemented
131#2571C2211yescharacteristic, complemented
132#2570C2212yescomplemented
133#2562C2212yes—
134#2559C2214yescomplemented
135#2557C2214yescomplemented
136#2553C2212yes—
137#2553C2212yescomplemented
138#2552C2211yescharacteristic, complemented
139#2548C2211yescharacteristic
140#2548C2211yescharacteristic
141#2548C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2212yescomplemented
144#2547C2211yescharacteristic, complemented
145#2547C2212yescomplemented
146#2547C2211yescharacteristic, complemented
147#2546C2211yescharacteristic, complemented
148#2545C2212yescomplemented
149#2545C2212yescomplemented
150#2545C2212yescomplemented
151#2544C2212yes—
152#2544C2212yes—
153#2544C2212yes—
154#2544C2212yescomplemented
155#2542C2211yescharacteristic
156#2542C2212yescomplemented
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2540C2212yescomplemented
160#2538C2212yes—
161#2538C2212yescomplemented
162#2538C2211yescharacteristic, complemented
163#2537C2211yescharacteristic
164#2537C2212yescomplemented
165#2533C2212yescomplemented
166#2527C2212yes—
167#2526C2214yescomplemented
168#2523C2212yescomplemented
169#2518C2214yescomplemented
170#2514C2211yescharacteristic, complemented
171#2513C2212yescomplemented
172#2512C2212yescomplemented
173#2512C2212yescomplemented
174#2512C2212yescomplemented
175#2509C2212yescomplemented
176#2509C2211yescharacteristic, complemented
177#2500C2212yescomplemented
178#2499C2211yescharacteristic, complemented
179#2497C2212yes—
180#2496C2211yescharacteristic
181#2496C2212yescomplemented
182#2494C2212yes—
183#2492C2211yescharacteristic
184#2491C2212yescomplemented
185#2490C2212yescomplemented
186#2489C2211yescharacteristic
187#2489C2211yescharacteristic, complemented
188#2485C2211yescharacteristic
189#2482C2214yes—
190#2480C2214yes—
191#2472C2214yes—
192#2471C2214yescomplemented
193#2471C2214yescomplemented
194#2467C2214yescomplemented
195#2467C2214yescomplemented
196#2466C2212yes—
197#2460C2214yescomplemented
198#2457C2214yescomplemented
199#2457C2214yescomplemented
200#2454C2212yescomplemented
201#2454C2212yescomplemented
202#2454C2212yescomplemented
203#2454C2212yescomplemented
204#2453C2212yescomplemented
205#2448C2212yescomplemented
206#2448C2212yescomplemented
207#2448C2212yescomplemented
208#2448C2212yescomplemented
209#2448C2212yescomplemented
210#2445C2212yes—
211#2445C2212yes—
212#2445C2212yes—
213#2445C2212yes—
214#2445C2212yescomplemented
215#2439C2211yescharacteristic, complemented
216#2435C2212yes—
217#2435C2212yes—
218#2435C2212yes—
219#2435C2212yes—
220#2433C2212yes—
221#2432C2212yescomplemented
222#2432C2212yescomplemented
223#2431C2212yes—
224#2431C2212yescomplemented
225#2429C2212yes—
226#2429C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yescomplemented
230#2427C2211yescharacteristic
231#2427C2211yescharacteristic, complemented
232#2427C2212yescomplemented
233#2426C2212yes—
234#2426C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2212yescomplemented
237#2424C2214yes—
238#2422C2212yes—
239#2422C2212yescomplemented
240#2421C2212yes—
241#2420C2212yescomplemented
242#2420C2212yescomplemented
243#2415C2211yescharacteristic
244#2415C2214yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2412C2214yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2405C2214yes—
253#2401C2212yescomplemented
254#2398C2212yes—
255#2395C2212yes—
256#2395C2212yescomplemented
257#2375C2214yes—
258#2367C2212yescomplemented
259#2367C2212yescomplemented
260#2366C2211yescharacteristic
261#2365C2211yescharacteristic, complemented
262#2363C2212yescomplemented
263#2357C2212yescomplemented
264#2354C2212yescomplemented
265Q8×C4⋊C4C2211yescharacteristic, complemented
266Q8×C4⋊C4C2211yescharacteristic, complemented
267#2341C2212yescomplemented
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2328C2212yescomplemented
273#2327C2212yescomplemented
274#2326C2212yescomplemented
275#2324C2212yescomplemented
276#2324C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2319C2212yescomplemented
280#2312C2214yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#126C2212yes—
285C4×#124C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2212yes—
291C4×#121C2212yescomplemented
292#2295C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2285C2212yescomplemented
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—48no—
304#559—44no—
305#557—44no—
306#556—48no—
307#546—48no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127—44no—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322#529—44no—
323#529—44no—
324C2×#126C2312yes—
325C2×#126C2312yes—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#125C2312yes—
331C2×#125C2311yescharacteristic
332C2×#125C2311yescharacteristic
333C2×#125C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#123C2314yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2314yes—
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C22×C22⋊C4C2314yes—
415C22×C22⋊C4C2314yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419#401C2314yes—
420#401C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2314yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2312yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#393C2312yes—
530#393C2314yes—
531#393C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2312yes—
558#391C2312yes—
559#391C2311yescharacteristic
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2314yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2314yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#383C2312yes—
733#383C2312yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2311yescharacteristic
739#382C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2314yes—
755#380C2314yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—82no—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874#127—24no—
875#127—24no—
876#127—44no—
877#127—44no—
878#127—44no—
879#127—44no—
880#127—44no—
881#126—44no—
882#126—44no—
883#126—44no—
884#126—48no—
885#126—48no—
886#126—84no—
887#125—42no—
888#125—42no—
889#125—44no—
890#125—48no—
891#124—28no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—42no—
896#124—42no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—44no—
901#124—44no—
902#124—44no—
903#124—48no—
904#123—48no—
905#123—48no—
906#123—44no—
907#123—44no—
908#123—48no—
909#123—48no—
910#123—84no—
911#123—84no—
912C22⋊Q8—42no—
913C22⋊Q8—44no—
914C22⋊Q8—42no—
915C22⋊Q8—42no—
916C22⋊Q8—42no—
917C22⋊Q8—42no—
918C22⋊Q8—42no—
919C22⋊Q8—44no—
920C22⋊Q8—48no—
921C22⋊Q8—84no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—42no—
930#121—42no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—84no—
935#121—82no—
936#120—48no—
937#120—48no—
938#120—84no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—28no—
942C4×Q8—24no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—28no—
951C4×D4—24no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—42no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—42no—
965C4×D4—82no—
966#117—44no—
967#117—44no—
968#117—42no—
969#117—42no—
970#117—48no—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C22⋊C4—48no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—44no—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24—28no—
1202C24—44no—
1203C24—44no—
1204C24—44no—
1205C24—44no—
1206C24—44no—
1207C24—44no—
1208C24C2514yes—
1209C24C2514yes—
1210C24C2512yes—
1211C24C2511yescharacteristic
1212C24C2511yescharacteristic
1213#41—816no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—41no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—816no—
1287C2×D4—816no—
1288C2×D4—816no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—28no—
1308C22×C4—24no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—42no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2514yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—41no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—22no—
1503C42—24no—
1504C42—22no—
1505C42—22no—
1506C42—24no—
1507C42—42no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—44no—
1512C42—44no—
1513C42—41no—
1514C42—44no—
1515C42—41no—
1516C42—44no—
1517C42—42no—
1518C42—42no—
1519C42H(5,𝔽2)14yes—
1520C42H(5,𝔽2)14yes—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—24no—
1528C23—22no—
1529C23—24no—
1530C23—22no—
1531C23—21no—
1532C23—24no—
1533C23—21no—
1534C23—24no—
1535C23—21no—
1536C23—24no—
1537C23—21no—
1538C23—24no—
1539C23—24no—
1540C23—22no—
1541C23—21no—
1542C23—21no—
1543C23—24no—
1544C23—24no—
1545C23—24no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—24no—
1551C23—24no—
1552C23—24no—
1553C23—21no—
1554C23—22no—
1555C23—88no—
1556C23—88no—
1557C23—88no—
1558C23—88no—
1559C23—88no—
1560C23—164no—
1561C23—164no—
1562C23#58512yes—
1563C23C2611yescharacteristic
1564Q8—44no—
1565Q8—44no—
1566Q8—48no—
1567Q8—44no—
1568Q8—84no—
1569D4—44no—
1570D4—48no—
1571D4—44no—
1572D4—48no—
1573D4—48no—
1574D4—48no—
1575D4—48no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—88no—
1580D4—88no—
1581D4—88no—
1582D4—88no—
1583D4—88no—
1584D4—164no—
1585D4—164no—
1586D4—164no—
1587D4—164no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—48no—
1674C2×C4—44no—
1675C2×C4—84no—
1676C2×C4—82no—
1677C2×C4—88no—
1678C2×C4—84no—
1679C2×C4—88no—
1680C2×C4—164no—
1681C2×C4—164no—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4#58512yes—
1689C2×C4#58512yes—
1690C2×C4#58512yes—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—44no—
1701C22—44no—
1702C22—41no—
1703C22—44no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—41no—
1709C22—44no—
1710C22—42no—
1711C22—44no—
1712C22—41no—
1713C22—44no—
1714C22—41no—
1715C22—44no—
1716C22—44no—
1717C22—42no—
1718C22—44no—
1719C22—42no—
1720C22—44no—
1721C22—41no—
1722C22—42no—
1723C22—44no—
1724C22—41no—
1725C22—44no—
1726C22—1616no—
1727C22C22×H(5,𝔽2)11yescharacteristic
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C2×#58511yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22C2×#58511yescharacteristic
1732C22C2×#58511yescharacteristic
1733C22H(7,𝔽2)11yescharacteristic
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—42no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—41no—
1743C4—44no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4—41no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—44no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4#354614yes—
1763C4#356214yes—
1764C2—42no—
1765C2—81no—
1766C2—82no—
1767C2—84no—
1768C2—84no—
1769C2C2×#356211yescharacteristic
1770C2C2×#354611yescharacteristic
1771C2#6283011yescharacteristic
1772C2#6292411yescharacteristic
1773C2#6295511yescharacteristic
1774C2#6296611yescharacteristic
1775C2#6303011yescharacteristic
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. #59821C2semidirect
2. #59143C2semidirect
3. #59078C2semidirect
4. #55822C2semidirect
5. #55597C2semidirect
6. #55559C2semidirect
7. #53088C2semidirect
8. #53057C2semidirect
9. #47901C2semidirect
10. #46061C2semidirect
11. #45642C2semidirect
12. #45061C2semidirect
13. #45057C2semidirect
14. #42903C2semidirect
15. #42680C2semidirect
16. #42642C2semidirect
17. #42629C2semidirect
18. #39746C2semidirect
19. #39741C2semidirect
20. #39730C2semidirect
21. #39149C2semidirect
22. #39137C2semidirect
23. #39127C2semidirect
24. #39034C2semidirect
25. #39030C2semidirect
26. #37614C2semidirect
27. #37368C2semidirect
28. #37286C2semidirect
29. #36469C2semidirect
30. #36460C2semidirect
31. #36121C2semidirect
32. #35197C2semidirect
33. #35191C2semidirect
34. #34932C2semidirect
35. #34803C2semidirect
37. C2×#559C22semidirect
38. C2×#557C22semidirect
39. C2×#556C22semidirect
44. C2×#529C22semidirect
45. #2861C22semidirect
46. #2860C22semidirect
48. #2858C22semidirect
51. #2854C22semidirect
52. #2854C22semidirect
53. #2850C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2828C22semidirect
57. #2826C22semidirect
58. #2825C22semidirect
60. #2816C22semidirect
61. #2813C22semidirect
62. #2803C22semidirect
63. #2803C22semidirect
64. #2801C22semidirect
65. #2797C22semidirect
66. #2795C22semidirect
67. #2781C22semidirect
68. #2781C22semidirect
69. #2779C22semidirect
70. #2778C22semidirect
71. #2778C22semidirect
72. #2776C22semidirect
73. #2756C22semidirect
74. #2750C22semidirect
75. #2746C22semidirect
76. #2741C22semidirect
77. #2741C22semidirect
81. #2730C22semidirect
82. #2730C22semidirect
83. #2727C22semidirect
84. #2725C22semidirect
85. #2718C22semidirect
86. #2718C22semidirect
87. #2718C22semidirect
88. #2711C22semidirect
91. #2705C22semidirect
92. #2705C22semidirect
93. #2705C22semidirect
94. #2705C22semidirect
95. #2703C22semidirect
96. #2703C22semidirect
97. #2702C22semidirect
99. #2694C22semidirect
100. #2694C22semidirect
101. #2693C22semidirect
102. #2693C22semidirect
103. #2687C22semidirect
108. #2682C22semidirect
110. #2676C22semidirect
111. #2661C22semidirect
112. #2658C22semidirect
114. #2649C22semidirect
115. #2649C22semidirect
116. #2648C22semidirect
117. #2648C22semidirect
118. #2645C22semidirect
120. #2629C22semidirect
122. #2624C22semidirect
123. #2620C22semidirect
127. #2603C22semidirect
128. #2602C22semidirect
129. #2592C22semidirect
130. #2576C22semidirect
131. #2571C22semidirect
132. #2570C22semidirect
134. #2559C22semidirect
135. #2557C22semidirect
137. #2553C22semidirect
138. #2552C22semidirect
143. #2548C22semidirect
144. #2547C22semidirect
145. #2547C22semidirect
146. #2547C22semidirect
147. #2546C22semidirect
148. #2545C22semidirect
149. #2545C22semidirect
150. #2545C22semidirect
154. #2544C22semidirect
156. #2542C22semidirect
159. #2540C22semidirect
161. #2538C22semidirect
162. #2538C22semidirect
164. #2537C22semidirect
165. #2533C22semidirect
167. #2526C22semidirect
168. #2523C22semidirect
169. #2518C22semidirect
170. #2514C22semidirect
171. #2513C22semidirect
172. #2512C22semidirect
173. #2512C22semidirect
174. #2512C22semidirect
175. #2509C22semidirect
176. #2509C22semidirect
177. #2500C22semidirect
178. #2499C22semidirect
181. #2496C22semidirect
184. #2491C22semidirect
185. #2490C22semidirect
187. #2489C22semidirect
192. #2471C22semidirect
193. #2471C22semidirect
194. #2467C22semidirect
195. #2467C22semidirect
197. #2460C22semidirect
198. #2457C22semidirect
199. #2457C22semidirect
200. #2454C22semidirect
201. #2454C22semidirect
202. #2454C22semidirect
203. #2454C22semidirect
204. #2453C22semidirect
205. #2448C22semidirect
206. #2448C22semidirect
207. #2448C22semidirect
208. #2448C22semidirect
209. #2448C22semidirect
214. #2445C22semidirect
215. #2439C22semidirect
221. #2432C22semidirect
222. #2432C22semidirect
224. #2431C22semidirect
229. #2428C22semidirect
231. #2427C22semidirect
232. #2427C22semidirect
234. #2426C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
239. #2422C22semidirect
241. #2420C22semidirect
242. #2420C22semidirect
244. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
253. #2401C22semidirect
256. #2395C22semidirect
258. #2367C22semidirect
259. #2367C22semidirect
261. #2365C22semidirect
262. #2363C22semidirect
263. #2357C22semidirect
264. #2354C22semidirect
265. Q8×C4⋊C4C22semidirect
266. Q8×C4⋊C4C22semidirect
267. #2341C22semidirect
272. #2328C22semidirect
273. #2327C22semidirect
274. #2326C22semidirect
275. #2324C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2319C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
285. C4×#124C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2285C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598212
#591432
#590782
#558222
#555972
#555592
#530882
#530572
#479012
#460612
#456422
#450612
#450572
#429032
#426802
#426422
#426292
#397462
#397412
#397302
#391492
#391372
#391272
#390342
#390302
#376142
#373682
#372862
#364692
#364602
#361212
#351972
#351912
#349322
#348032