Finite Group Databasebeta

← #8466982

Subgroups — #8466982

Order 512.

5385 conjugacy classes of subgroups.

The subgroup lattice has 1813 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59653C211yesmaximal, characteristic, complemented
2#59419C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#54935C214yesmaximal, complemented
5#53837C214yesmaximal, complemented
6#53694C214yesmaximal, complemented
7#53116C212yesmaximal, complemented
8#53000C212yesmaximal, complemented
9#49724C214yesmaximal, complemented
10#46050C212yesmaximal, complemented
11#45524C212yesmaximal, complemented
12#45097C212yesmaximal, complemented
13#45018C212yesmaximal, complemented
14#42893C212yesmaximal, complemented
15#42881C212yesmaximal, complemented
16#42602C212yesmaximal, complemented
17#42560C212yesmaximal, complemented
18#40049C212yesmaximal, complemented
19#39888C212yesmaximal, complemented
20#39747C211yesmaximal, characteristic, complemented
21#39361C211yesmaximal, characteristic, complemented
22#39287C212yesmaximal, complemented
23#39174C211yesmaximal, characteristic, complemented
24#38957C211yesmaximal, characteristic, complemented
25#37699C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37331C212yesmaximal, complemented
28#37305C212yesmaximal, complemented
29#36595C211yesmaximal, characteristic, complemented
30#36583C211yesmaximal, characteristic, complemented
31#36128C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35170C211yesmaximal, characteristic, complemented
34#34918C211yesmaximal, characteristic, complemented
35#34902C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#557C2211yescharacteristic, complemented
38C2×#556C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic, complemented
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#542C2212yescomplemented
45C2×#542C2212yescomplemented
46C2×#535C2212yes—
47C2×#532C2212yescomplemented
48#2867C2211yescharacteristic
49#2860C2212yescomplemented
50#2858C2211yescharacteristic
51#2858C2212yes—
52#2858C2211yescharacteristic, complemented
53#2858C2212yescomplemented
54#2857C2212yescomplemented
55#2856C2212yescomplemented
56#2854C2212yes—
57#2830C2214yescomplemented
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2825C2214yescomplemented
61#2824C2214yescomplemented
62#2819C2214yescomplemented
63#2813C2214yescomplemented
64#2812C2214yescomplemented
65#2803C2214yescomplemented
66#2800C2214yescomplemented
67#2797C2214yescomplemented
68#2797C2214yescomplemented
69#2761C2214yescomplemented
70#2753C2214yescomplemented
71#2751C2214yescomplemented
72#2750C2214yescomplemented
73#2749C2214yescomplemented
74#2749C2214yescomplemented
75#2730C2214yescomplemented
76#2725C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2711C2214yescomplemented
84#2711C2214yescomplemented
85#2703C2214yescomplemented
86#2701C2214yescomplemented
87#2699C2214yescomplemented
88#2699C2214yescomplemented
89#2697C2214yescomplemented
90#2696C2214yescomplemented
91#2691C2214yescomplemented
92#2686C2214yescomplemented
93#2685C2214yes—
94#2685C2214yes—
95#2685C2214yescomplemented
96#2684C2214yescomplemented
97#2684C2214yescomplemented
98#2682C2214yescomplemented
99#2682C2214yescomplemented
100#2681C2214yescomplemented
101#2681C2214yescomplemented
102#2678C2214yes—
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yes—
112#2669C2214yes—
113#2668C2214yescomplemented
114#2663C2214yescomplemented
115#2662C2214yescomplemented
116#2662C2214yescomplemented
117#2657C2212yes—
118#2648C2214yescomplemented
119#2644C2212yescomplemented
120#2644C2212yescomplemented
121#2643C2214yescomplemented
122#2641C2212yes—
123#2640C2212yescomplemented
124#2640C2212yescomplemented
125#2638C2214yescomplemented
126#2636C2214yescomplemented
127#2630C2214yescomplemented
128#2620C2212yes—
129#2619C2212yes—
130#2602C2214yescomplemented
131#2597C2214yescomplemented
132#2597C2212yescomplemented
133#2596C2212yescomplemented
134#2595C2212yescomplemented
135#2594C2212yescomplemented
136#2592C2211yescharacteristic
137#2592C2211yescharacteristic
138#2582C2211yescharacteristic, complemented
139#2581C2211yescharacteristic, complemented
140#2580C2211yescharacteristic, complemented
141#2570C2211yescharacteristic, complemented
142#2570C2211yescharacteristic, complemented
143#2566C2212yescomplemented
144#2554C2214yescomplemented
145#2551C2211yescharacteristic, complemented
146#2548C2212yes—
147#2548C2211yescharacteristic
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic, complemented
150#2548C2212yescomplemented
151#2548C2212yescomplemented
152#2548C2212yescomplemented
153#2548C2212yescomplemented
154#2548C2212yescomplemented
155#2547C2212yescomplemented
156#2547C2211yescharacteristic, complemented
157#2545C2212yes—
158#2545C2211yescharacteristic
159#2544C2212yes—
160#2544C2211yescharacteristic
161#2544C2212yescomplemented
162#2544C2212yescomplemented
163#2543C2214yescomplemented
164#2542C2211yescharacteristic
165#2541C2211yescharacteristic
166#2541C2212yescomplemented
167#2541C2212yescomplemented
168#2540C2214yescomplemented
169#2538C2211yescharacteristic
170#2537C2211yescharacteristic
171#2535C2212yes—
172#2534C2214yescomplemented
173#2525C2212yescomplemented
174#2521C2214yescomplemented
175#2519C2214yescomplemented
176#2516C2212yescomplemented
177#2514C2211yescharacteristic, complemented
178#2513C2211yescharacteristic
179#2512C2211yescharacteristic
180#2511C2211yescharacteristic, complemented
181#2500C2212yes—
182#2496C2212yescomplemented
183#2492C2212yescomplemented
184#2491C2212yes—
185#2491C2212yescomplemented
186#2490C2214yescomplemented
187#2490C2214yescomplemented
188#2490C2212yescomplemented
189#2490C2212yescomplemented
190#2489C2212yescomplemented
191#2472C2214yescomplemented
192#2469C2212yescomplemented
193#2466C2214yescomplemented
194#2461C2214yescomplemented
195#2459C2214yescomplemented
196#2458C2212yescomplemented
197#2452C2212yescomplemented
198#2452C2212yescomplemented
199#2452C2212yescomplemented
200#2450C2214yescomplemented
201#2448C2212yes—
202#2448C2211yescharacteristic
203#2447C2212yescomplemented
204#2447C2211yescharacteristic, complemented
205#2447C2212yescomplemented
206#2446C2212yescomplemented
207#2446C2211yescharacteristic, complemented
208#2445C2211yescharacteristic
209#2445C2212yes—
210#2445C2212yescomplemented
211#2445C2212yescomplemented
212#2445C2212yescomplemented
213#2445C2212yescomplemented
214#2444C2214yescomplemented
215#2441C2212yescomplemented
216#2435C2212yes—
217#2435C2212yes—
218#2435C2212yes—
219#2433C2212yes—
220#2433C2212yes—
221#2433C2212yes—
222#2433C2212yes—
223#2432C2212yescomplemented
224#2432C2212yescomplemented
225#2431C2212yes—
226#2431C2212yes—
227#2431C2212yescomplemented
228#2431C2212yescomplemented
229#2431C2212yescomplemented
230#2429C2212yescomplemented
231#2428C2212yes—
232#2428C2212yes—
233#2428C2212yes—
234#2428C2212yes—
235#2428C2212yescomplemented
236#2428C2214yescomplemented
237#2428C2214yescomplemented
238#2427C2212yescomplemented
239#2426C2212yes—
240#2426C2212yes—
241#2426C2212yescomplemented
242#2426C2212yescomplemented
243#2426C2212yescomplemented
244#2425C2214yescomplemented
245#2424C2214yes—
246#2422C2212yes—
247#2420C2212yescomplemented
248#2420C2212yescomplemented
249#2418C2214yescomplemented
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2408C2212yes—
253#2407C2212yes—
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2401C2212yescomplemented
257#2398C2212yescomplemented
258#2396C2212yescomplemented
259#2395C2212yescomplemented
260#2377C2214yescomplemented
261#2366C2212yescomplemented
262#2366C2212yescomplemented
263#2366C2212yescomplemented
264#2366C2212yescomplemented
265#2362C2212yescomplemented
266#2351C2212yescomplemented
267#2341C2212yescomplemented
268#2341C2212yescomplemented
269#2339C2212yescomplemented
270#2339C2212yescomplemented
271D4×C22⋊C4C2212yes—
272#2326C2212yescomplemented
273#2326C2212yescomplemented
274#2324C2212yescomplemented
275#2323C2212yescomplemented
276#2321C2214yescomplemented
277#2309C2212yes—
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic, complemented
283C4×#126C2212yescomplemented
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic, complemented
288C4×#124C2212yescomplemented
289C4×#123C2212yescomplemented
290#2298C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292#2295C2211yescharacteristic, complemented
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—48no—
305#557—44no—
306#556—44no—
307#550—44no—
308#550—44no—
309#550—44no—
310#546—48no—
311D42—44no—
312#542—48no—
313#542—48no—
314#535—48no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#126C2312yes—
335C2×#126C2314yes—
336C2×#126C2314yes—
337C2×#126C2314yes—
338C2×#125C2312yes—
339C2×#125C2314yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2311yescharacteristic
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#124C2311yescharacteristic
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2311yescharacteristic
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C22×C22⋊C4C2314yes—
432C22×C42C2312yes—
433#401C2312yes—
434#400C2312yes—
435#400C2314yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2314yes—
443#399C2312yes—
444#399C2312yes—
445#399C2314yes—
446#399C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
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#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#393C2312yes—
531#393C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2312yes—
562#391C2312yes—
563#391C2311yescharacteristic
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2314yes—
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2311yescharacteristic
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2314yes—
627#390C2314yes—
628#390C2314yes—
629#390C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2312yes—
649#389C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2314yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2314yes—
704#387C2312yes—
705#387C2314yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2312yes—
752#383C2312yes—
753#382C2314yes—
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#382C2311yescharacteristic
758#381C2314yes—
759#381C2314yes—
760#381C2312yes—
761#381C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#379C2314yes—
771#379C2314yes—
772#379C2314yes—
773#379C2314yes—
774#379C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2312yes—
817C2×#95C2314yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2414yes—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C4⋊Q8—24no—
881C4⋊Q8—24no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885#127—28no—
886#127—24no—
887#127—24no—
888#127—44no—
889#127—44no—
890#127—44no—
891#127—42no—
892#127—44no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—82no—
898#126—48no—
899#126—48no—
900#126—44no—
901#126—48no—
902#125—44no—
903#125—48no—
904#124—28no—
905#124—24no—
906#124—24no—
907#124—48no—
908#124—48no—
909#124—42no—
910#124—42no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—44no—
919#124—48no—
920#124—84no—
921#123—48no—
922#123—44no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—48no—
927C22⋊Q8—28no—
928C22⋊Q8—48no—
929C22⋊Q8—48no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—84no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—44no—
943#121—48no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—84no—
953#121—84no—
954#120—48no—
955#120—48no—
956#120—48no—
957#120—48no—
958#120—48no—
959#120—84no—
960#120—84no—
961C4×Q8—24no—
962C4×Q8—28no—
963C4×Q8—24no—
964C4×Q8—24no—
965C4×Q8—24no—
966C4×Q8—24no—
967C4×Q8—42no—
968C4×Q8—42no—
969C4×Q8—42no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—42no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—48no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—48no—
989C4×D4—48no—
990C4×D4—82no—
991C4×D4—82no—
992#117—28no—
993#117—44no—
994#117—44no—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C22⋊C4—48no—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
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×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C42—44no—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2412yes—
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2514yes—
1227C24C2514yes—
1228C24C2512yes—
1229#41—816no—
1230#41—816no—
1231#41—816no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—44no—
1247C2×Q8—44no—
1248C2×Q8—44no—
1249C2×Q8H(5,𝔽2)14yes—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—28no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—816no—
1329C2×D4—816no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—28no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—42no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
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—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C42—22no—
1520C42—24no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—28no—
1530C42—24no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—42no—
1539C42—42no—
1540C42—44no—
1541C42—41no—
1542C42—41no—
1543C42—41no—
1544C42—41no—
1545C42—42no—
1546C42—44no—
1547C42—42no—
1548C42—42no—
1549C42—41no—
1550C42H(5,𝔽2)14yes—
1551C42H(5,𝔽2)14yes—
1552C23—22no—
1553C23—22no—
1554C23—24no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—24no—
1562C23—24no—
1563C23—24no—
1564C23—24no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—24no—
1573C23—24no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—24no—
1580C23—24no—
1581C23—22no—
1582C23—22no—
1583C23—24no—
1584C23—22no—
1585C23—24no—
1586C23—22no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—164no—
1591C23—164no—
1592C23—164no—
1593C23—164no—
1594C23C2611yescharacteristic
1595Q8—28no—
1596Q8—44no—
1597Q8—48no—
1598Q8—44no—
1599Q8—44no—
1600Q8—164no—
1601D4—44no—
1602D4—48no—
1603D4—44no—
1604D4—48no—
1605D4—44no—
1606D4—48no—
1607D4—48no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—84no—
1612D4—84no—
1613D4—88no—
1614D4—84no—
1615D4—84no—
1616D4—88no—
1617D4—88no—
1618D4—88no—
1619D4—88no—
1620D4—164no—
1621D4—164no—
1622D4—164no—
1623D4—164no—
1624D4—164no—
1625D4—164no—
1626D4—164no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
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—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—84no—
1710C2×C4—84no—
1711C2×C4—88no—
1712C2×C4—88no—
1713C2×C4—88no—
1714C2×C4—164no—
1715C2×C4—164no—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)14yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4#58512yes—
1725C2×C4#58512yes—
1726C2×C4#58512yes—
1727C22—42no—
1728C22—42no—
1729C22—44no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—44no—
1734C22—42no—
1735C22—44no—
1736C22—42no—
1737C22—42no—
1738C22—44no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—44no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—44no—
1750C22—42no—
1751C22—42no—
1752C22—44no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—44no—
1760C22—44no—
1761C22—42no—
1762C22—1616no—
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C22×H(5,𝔽2)11yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22C2×#58511yescharacteristic
1769C22H(7,𝔽2)11yescharacteristic
1770C4—24no—
1771C4—22no—
1772C4—22no—
1773C4—22no—
1774C4—22no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—44no—
1781C4—41no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—44no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4#354614yes—
1799C4#355814yes—
1800C2—82no—
1801C2—84no—
1802C2—84no—
1803C2—82no—
1804C2—82no—
1805C2C2×#355811yescharacteristic
1806C2C2×#354611yescharacteristic
1807C2#6283611yescharacteristic
1808C2#6291611yescharacteristic
1809C2#6296111yescharacteristic
1810C2#6296611yescharacteristic
1811C2#6301911yescharacteristic
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. #59653C2semidirect
2. #59419C2semidirect
3. #59412C2semidirect
4. #54935C2semidirect
5. #53837C2semidirect
6. #53694C2semidirect
7. #53116C2semidirect
8. #53000C2semidirect
9. #49724C2semidirect
10. #46050C2semidirect
11. #45524C2semidirect
12. #45097C2semidirect
13. #45018C2semidirect
14. #42893C2semidirect
15. #42881C2semidirect
16. #42602C2semidirect
17. #42560C2semidirect
18. #40049C2semidirect
19. #39888C2semidirect
20. #39747C2semidirect
21. #39361C2semidirect
22. #39287C2semidirect
23. #39174C2semidirect
24. #38957C2semidirect
25. #37699C2semidirect
26. #37629C2semidirect
27. #37331C2semidirect
28. #37305C2semidirect
29. #36595C2semidirect
30. #36583C2semidirect
31. #36128C2semidirect
32. #35198C2semidirect
33. #35170C2semidirect
34. #34918C2semidirect
35. #34902C2semidirect
36. C2×#559C22semidirect
37. C2×#557C22semidirect
41. C2×#550C22semidirect
44. C2×#542C22semidirect
45. C2×#542C22semidirect
47. C2×#532C22semidirect
49. #2860C22semidirect
52. #2858C22semidirect
53. #2858C22semidirect
54. #2857C22semidirect
55. #2856C22semidirect
57. #2830C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2825C22semidirect
61. #2824C22semidirect
62. #2819C22semidirect
63. #2813C22semidirect
64. #2812C22semidirect
65. #2803C22semidirect
66. #2800C22semidirect
67. #2797C22semidirect
68. #2797C22semidirect
69. #2761C22semidirect
70. #2753C22semidirect
71. #2751C22semidirect
72. #2750C22semidirect
73. #2749C22semidirect
74. #2749C22semidirect
75. #2730C22semidirect
76. #2725C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2711C22semidirect
84. #2711C22semidirect
85. #2703C22semidirect
86. #2701C22semidirect
87. #2699C22semidirect
88. #2699C22semidirect
89. #2697C22semidirect
90. #2696C22semidirect
91. #2691C22semidirect
92. #2686C22semidirect
95. #2685C22semidirect
96. #2684C22semidirect
97. #2684C22semidirect
98. #2682C22semidirect
99. #2682C22semidirect
100. #2681C22semidirect
101. #2681C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
113. #2668C22semidirect
114. #2663C22semidirect
115. #2662C22semidirect
116. #2662C22semidirect
118. #2648C22semidirect
119. #2644C22semidirect
120. #2644C22semidirect
121. #2643C22semidirect
123. #2640C22semidirect
124. #2640C22semidirect
125. #2638C22semidirect
126. #2636C22semidirect
127. #2630C22semidirect
130. #2602C22semidirect
131. #2597C22semidirect
132. #2597C22semidirect
133. #2596C22semidirect
134. #2595C22semidirect
135. #2594C22semidirect
138. #2582C22semidirect
139. #2581C22semidirect
140. #2580C22semidirect
141. #2570C22semidirect
142. #2570C22semidirect
143. #2566C22semidirect
144. #2554C22semidirect
145. #2551C22semidirect
149. #2548C22semidirect
150. #2548C22semidirect
151. #2548C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
154. #2548C22semidirect
155. #2547C22semidirect
156. #2547C22semidirect
161. #2544C22semidirect
162. #2544C22semidirect
163. #2543C22semidirect
166. #2541C22semidirect
167. #2541C22semidirect
168. #2540C22semidirect
172. #2534C22semidirect
173. #2525C22semidirect
174. #2521C22semidirect
175. #2519C22semidirect
176. #2516C22semidirect
177. #2514C22semidirect
180. #2511C22semidirect
182. #2496C22semidirect
183. #2492C22semidirect
185. #2491C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2490C22semidirect
189. #2490C22semidirect
190. #2489C22semidirect
191. #2472C22semidirect
192. #2469C22semidirect
193. #2466C22semidirect
194. #2461C22semidirect
195. #2459C22semidirect
196. #2458C22semidirect
197. #2452C22semidirect
198. #2452C22semidirect
199. #2452C22semidirect
200. #2450C22semidirect
203. #2447C22semidirect
204. #2447C22semidirect
205. #2447C22semidirect
206. #2446C22semidirect
207. #2446C22semidirect
210. #2445C22semidirect
211. #2445C22semidirect
212. #2445C22semidirect
213. #2445C22semidirect
214. #2444C22semidirect
215. #2441C22semidirect
223. #2432C22semidirect
224. #2432C22semidirect
227. #2431C22semidirect
228. #2431C22semidirect
229. #2431C22semidirect
230. #2429C22semidirect
235. #2428C22semidirect
236. #2428C22semidirect
237. #2428C22semidirect
238. #2427C22semidirect
241. #2426C22semidirect
242. #2426C22semidirect
243. #2426C22semidirect
244. #2425C22semidirect
247. #2420C22semidirect
248. #2420C22semidirect
249. #2418C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2401C22semidirect
257. #2398C22semidirect
258. #2396C22semidirect
259. #2395C22semidirect
260. #2377C22semidirect
261. #2366C22semidirect
262. #2366C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2362C22semidirect
266. #2351C22semidirect
267. #2341C22semidirect
268. #2341C22semidirect
269. #2339C22semidirect
270. #2339C22semidirect
272. #2326C22semidirect
273. #2326C22semidirect
274. #2324C22semidirect
275. #2323C22semidirect
276. #2321C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
283. C4×#126C22semidirect
287. C4×#124C22semidirect
288. C4×#124C22semidirect
289. C4×#123C22semidirect
290. #2298C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
295. #2290C22semidirect
296. C42×Q8C22semidirect
297. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596532
#594192
#594122
#549352
#538372
#536942
#531162
#530002
#497242
#460502
#455242
#450972
#450182
#428932
#428812
#426022
#425602
#400492
#398882
#397472
#393612
#392872
#391742
#389572
#376992
#376292
#373312
#373052
#365952
#365832
#361282
#351982
#351702
#349182
#349022