Finite Group Databasebeta

← #7715667

Subgroups — #7715667

Order 512.

6774 conjugacy classes of subgroups.

The subgroup lattice has 1723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#49572C214yesmaximal, complemented
4#49553C212yesmaximal, complemented
5#49552C212yesmaximal, complemented
6#47859C214yesmaximal, complemented
7#47837C212yesmaximal, complemented
8#47836C212yesmaximal, complemented
9#47801C214yesmaximal, complemented
10#47797C214yesmaximal, complemented
11#47761C214yesmaximal, complemented
12#47691C214yesmaximal, complemented
13#39138C212yesmaximal, complemented
14#39137C212yesmaximal, complemented
15#39130C212yesmaximal, complemented
16#39130C212yesmaximal, complemented
17#39126C212yesmaximal, complemented
18#39124C212yesmaximal, complemented
19#39119C212yesmaximal, complemented
20#39118C212yesmaximal, complemented
21#37639C211yesmaximal, characteristic, complemented
22#37550C211yesmaximal, characteristic, complemented
23#37271C212yesmaximal, complemented
24#37270C212yesmaximal, complemented
25#35302C211yesmaximal, characteristic, complemented
26#35301C211yesmaximal, characteristic, complemented
27#35259C212yesmaximal, complemented
28#35258C212yesmaximal, complemented
29#34373C211yesmaximal, characteristic, complemented
30#3554—216no—
31C2×#562C2214yes—
32C2×#559C2211yescharacteristic, complemented
33C2×#559C2212yescomplemented
34C2×#557C2211yescharacteristic, complemented
35C2×#554C2212yescomplemented
36C2×#550C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2212yes—
39C2×#547C2212yes—
40#3455—216no—
41C2×#542C2212yes—
42C2×#542C2212yes—
43C2×#542C2212yes—
44C2×#542C2212yescomplemented
45C2×#541C2212yes—
46C2×#540C2212yes—
47C2×#540C2212yes—
48C2×#539C2211yescharacteristic
49C2×#539C2211yescharacteristic
50C2×#539C2212yes—
51C2×#539C2214yescomplemented
52C2×#538C2211yescharacteristic
53C2×#538C2211yescharacteristic
54C2×#538C2212yes—
55C2×#536C2212yescomplemented
56C2×#533C2211yescharacteristic
57C2×#532C2211yescharacteristic
58C2×#532C2211yescharacteristic
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2212yes—
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#525C2212yes—
65C2×C4×#41C2212yes—
66C22×#117C2211yescharacteristic
67#2857C2212yescomplemented
68#2856C2212yescomplemented
69#2855C2211yescharacteristic
70#2854C2212yes—
71#2854C2211yescharacteristic
72#2851C2212yescomplemented
73#2850C2212yescomplemented
74#2848C2211yescharacteristic
75#2847C2211yescharacteristic
76#2847C2212yes—
77#2821C2212yescomplemented
78#2819C2214yescomplemented
79#2818C2212yescomplemented
80#2733C2214yes—
81#2733C2214yes—
82#2731C2214yes—
83#2730C2214yes—
84#2730C2214yescomplemented
85#2730C2214yescomplemented
86#2729C2214yescomplemented
87#2728C2214yescomplemented
88#2723C2214yes—
89#2723C2214yes—
90#2723C2214yescomplemented
91#2719C2214yescomplemented
92#2714C2214yes—
93#2714C2214yes—
94#2714C2214yescomplemented
95#2711C2214yes—
96#2710C2214yes—
97#2706C2214yes—
98#2705C2214yes—
99#2705C2214yescomplemented
100#2703C2214yes—
101#2703C2214yes—
102#2702C2214yes—
103#2702C2214yescomplemented
104#2696C2214yes—
105#2696C2214yes—
106#2696C2214yes—
107#2696C2214yescomplemented
108#2694C2214yescomplemented
109#2694C2214yescomplemented
110#2692C2214yes—
111#2690C2214yescomplemented
112#2682C2214yes—
113#2682C2214yescomplemented
114#2681C2214yes—
115#2681C2214yescomplemented
116#2678C2214yes—
117#2676C2214yes—
118#2676C2214yes—
119#2673C2214yes—
120#2673C2214yes—
121#2673C2214yes—
122#2673C2214yes—
123#2673C2214yes—
124#2673C2214yescomplemented
125#2670C2214yes—
126#2669C2214yes—
127#2669C2214yes—
128#2661C2214yes—
129#2635C2212yes—
130#2635C2212yes—
131#2629C2212yes—
132#2629C2212yescomplemented
133#2628C2212yes—
134#2628C2212yescomplemented
135#2620C2212yes—
136#2620C2212yescomplemented
137#2619C2214yes—
138#2619C2212yes—
139#2619C2212yescomplemented
140#2616C2212yes—
141#2615C2212yes—
142#2615C2212yes—
143#2615C2212yes—
144#2615C2212yes—
145#2615C2212yes—
146#2610C2214yes—
147#2610C2214yescomplemented
148#2609C2214yes—
149#2601C2214yes—
150#2598C2214yes—
151#2591C2212yes—
152#2579C2212yes—
153#2563C2212yes—
154#2563C2212yescomplemented
155#2563C2212yescomplemented
156#2562C2212yes—
157#2562C2212yes—
158#2562C2211yescharacteristic, complemented
159#2562C2211yescharacteristic, complemented
160#2560C2214yescomplemented
161#2558C2214yescomplemented
162#2554C2214yes—
163#2554C2214yescomplemented
164#2548C2214yes—
165#2547C2212yes—
166#2541C2214yes—
167#2541C2212yes—
168#2541C2212yes—
169#2541C2212yescomplemented
170#2541C2212yescomplemented
171#2540C2214yes—
172#2540C2212yes—
173#2540C2212yes—
174#2540C2211yescharacteristic, complemented
175#2540C2211yescharacteristic, complemented
176#2539C2212yes—
177#2538C2212yes—
178#2537C2212yes—
179#2537C2212yes—
180#2537C2212yes—
181#2537C2212yescomplemented
182#2537C2212yescomplemented
183#2536C2212yes—
184#2536C2212yescomplemented
185#2536C2214yescomplemented
186#2535C2212yes—
187#2535C2212yes—
188#2535C2212yes—
189#2535C2212yescomplemented
190#2534C2212yes—
191#2519C2214yes—
192#2490C2214yescomplemented
193#2489C2214yescomplemented
194#2481C2214yes—
195#2469C2214yescomplemented
196#2469C2214yescomplemented
197#2467C2214yes—
198#2467C2214yescomplemented
199#2467C2214yescomplemented
200#2465C2214yescomplemented
201#2464C2214yes—
202#2464C2214yes—
203#2463C2214yescomplemented
204#2461C2214yes—
205#2461C2214yes—
206#2459C2214yes—
207#2458C2214yes—
208#2458C2214yescomplemented
209#2458C2214yescomplemented
210#2457C2214yes—
211#2456C2214yes—
212#2456C2214yes—
213#2456C2214yes—
214#2456C2214yescomplemented
215#2456C2214yescomplemented
216#2456C2214yescomplemented
217#2455C2214yes—
218#2454C2214yescomplemented
219#2445C2214yes—
220#2445C2214yescomplemented
221#2443C2214yescomplemented
222#2442C2214yescomplemented
223#2436C2214yes—
224#2431C2214yes—
225#2428C2214yes—
226#2426C2214yes—
227#2426C2214yescomplemented
228#2416C2214yes—
229#2413C2212yes—
230#2411C2212yes—
231#2409C2214yescomplemented
232#2407C2214yescomplemented
233#2406C2212yes—
234#2404C2212yes—
235#2378C2212yes—
236#2378C2212yes—
237#2362C2214yes—
238#2355C2212yescomplemented
239#2355C2212yescomplemented
240#2355C2212yescomplemented
241Q8×C4⋊C4C2212yescomplemented
242#2336C2214yescomplemented
243#2331C2212yescomplemented
244#2327C2212yescomplemented
245#2324C2212yes—
246#2324C2212yes—
247#2324C2212yes—
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2324C2212yescomplemented
251#2323C2212yes—
252#2323C2212yescomplemented
253#2314C2212yes—
254#2314C2212yes—
255C4×C22⋊Q8C2212yescomplemented
256C4×#121C2212yescomplemented
257C4×#121C2212yescomplemented
258C4×#121C2212yescomplemented
259#2285C2211yescharacteristic
260#2283C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C23×Q8C2312yes—
265C24×C4C2311yescharacteristic
266#562—232no—
267#559—216no—
268#559—28no—
269#557—28no—
270#554—216no—
271#550—28no—
272D4×Q8—28no—
273#548—216no—
274#547—216no—
275#542—216no—
276#542—216no—
277#542—216no—
278#542—216no—
279#541—216no—
280#540—216no—
281#540—216no—
282#539—232no—
283#539—28no—
284#539—28no—
285#539—216no—
286#538—28no—
287#538—28no—
288#538—216no—
289#536—216no—
290#533D4116yescomplemented
291#532—28no—
292#532—28no—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2311yescharacteristic
295C2×C4⋊Q8C2311yescharacteristic
296C2×C4⋊Q8C2312yes—
297C2×C4⋊Q8C2311yescharacteristic
298C2×C4⋊Q8C2311yescharacteristic
299C2×#127C2311yescharacteristic
300C2×#127C2312yes—
301C2×#127C2311yescharacteristic
302C2×#127C2314yes—
303C2×#127C2314yes—
304C2×#127C2314yes—
305#529—216no—
306#529—216no—
307#529—216no—
308#529—216no—
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340#525—216no—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2311yescharacteristic
379C2×C22⋊Q8C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#120C2312yes—
413C2×#120C2312yes—
414C2×#120C2314yes—
415C2×#120C2312yes—
416C4×#41—216no—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2314yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2314yes—
451C2×#117—28no—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2314yes—
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2311yescharacteristic
466C22×C42C2312yes—
467C22×C42C2312yes—
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470#400C2314yes—
471#400C2314yes—
472#400C2312yes—
473#400C2312yes—
474#400C2314yes—
475#400C2314yes—
476#399C2312yes—
477#399C2312yes—
478#399C2314yes—
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2312yes—
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#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#391C2314yes—
571#391C2312yes—
572#391C2314yes—
573#391C2314yes—
574#391C2314yes—
575#391C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#383C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#381C2312yes—
707#381C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#379C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2312yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748#376C2312yes—
749C25C2411yescharacteristic
750C2×#41—28no—
751C2×#41—28no—
752C2×#41—28no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41—84no—
756C2×#41—84no—
757C22×Q8—28no—
758C22×Q8—84no—
759C22×Q8C2411yescharacteristic
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×Q8C2414yes—
763C22×Q8C2412yes—
764C22×Q8C2411yescharacteristic
765C22×Q8C2411yescharacteristic
766C22×D4C2411yescharacteristic
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C22×D4C2411yescharacteristic
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C23×C4—24no—
794C23×C4—44no—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2414yes—
811C23×C4C2412yes—
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C4⋊Q8—28no—
815C4⋊Q8—24no—
816C4⋊Q8—24no—
817C4⋊Q8—28no—
818C4⋊Q8C2×D418yes—
819C4⋊Q8C2×D418yes—
820#127—24no—
821#127—24no—
822#127—28no—
823#127—84no—
824#127—84no—
825#127—84no—
826#126—28no—
827#126—28no—
828#126—28no—
829#126—28no—
830#126—28no—
831#126—28no—
832#126—28no—
833#126—28no—
834#126—216no—
835#126—28no—
836#125—28no—
837#125—28no—
838#125—28no—
839#125—28no—
840#125—216no—
841#125—24no—
842#125—28no—
843#125C2×D4116yes—
844#124—28no—
845#124—28no—
846#124—28no—
847#124—28no—
848#124—28no—
849#124—216no—
850#124—216no—
851#124—24no—
852#124—28no—
853#124—28no—
854#124—28no—
855#124—84no—
856#123—28no—
857#123—28no—
858#123—28no—
859#123—28no—
860#123—28no—
861#123—28no—
862#123—28no—
863#123—28no—
864#123—28no—
865#123—216no—
866#123—216no—
867#123—216no—
868#123—216no—
869#123—216no—
870#123—28no—
871#123—28no—
872#123—216no—
873#123—82no—
874#123—84no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—216no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—216no—
886C22⋊Q8—216no—
887C22⋊Q8—28no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—84no—
892C22⋊Q8C2×D418yes—
893C22⋊Q8C2×D418yes—
894C22⋊Q8C2×D4116yes—
895#121—24no—
896#121—24no—
897#121—24no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—216no—
908#121—28no—
909#121—216no—
910#121—216no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—84no—
921#121—84no—
922#121—84no—
923#121—84no—
924#121—84no—
925#121—84no—
926#121—84no—
927#120—28no—
928#120—28no—
929#120—82no—
930#120—84no—
931C4×Q8—28no—
932C4×Q8—28no—
933C4×Q8—28no—
934C4×Q8—24no—
935C4×Q8—28no—
936C4×Q8—84no—
937C4×Q8C2×D418yes—
938C4×Q8C2×D418yes—
939C4×Q8C2×D4116yes—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—216no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—28no—
956C4×D4—24no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—28no—
962C4×D4—84no—
963C4×D4—84no—
964C4×D4—84no—
965#117—28no—
966#117—28no—
967#117—28no—
968#117—28no—
969#117—28no—
970#117—28no—
971#117—28no—
972#117—82no—
973#117C2×D4116yes—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—216no—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—24no—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C42—24no—
1100C2×C42—28no—
1101C2×C42—28no—
1102C2×C42C2×D418yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24—22no—
1159C24—42no—
1160C24—41no—
1161C24—42no—
1162C24—41no—
1163C24C2512yes—
1164C24C2514yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169#41—432no—
1170#41—816no—
1171#41—816no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—28no—
1176C2×Q8—24no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—816no—
1187C2×Q8C22×D418yes—
1188C2×Q8C22×D414yes—
1189C2×Q8C22×D414yes—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—41no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—42no—
1310C22×C4—41no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—416no—
1317C22×C4C22×D414yes—
1318C22×C4C22×D414yes—
1319C22×C4C22×D414yes—
1320C22×C4C2514yes—
1321C22×C4C2514yes—
1322C22×C4C2514yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4C22×D418yes—
1388C4⋊C4C22×D418yes—
1389C4⋊C4C22×D418yes—
1390C4⋊C4C22×D418yes—
1391C4⋊C4C22×D414yes—
1392C4⋊C4C22×D414yes—
1393C4⋊C4C22×D418yes—
1394C4⋊C4C22×D418yes—
1395C4⋊C4C22×D418yes—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4C22×D418yes—
1462C22⋊C4C22×D418yes—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—28no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—42no—
1477C42—44no—
1478C42C22×D418yes—
1479C42C22×D418yes—
1480C42C22×D414yes—
1481C42C22×D414yes—
1482C42C22×D414yes—
1483C42C22×D414yes—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—24no—
1493C23—24no—
1494C23—24no—
1495C23—24no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—24no—
1513C23—24no—
1514C23—24no—
1515C23—22no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—44no—
1522C23—82no—
1523C23—82no—
1524C23—84no—
1525C23—84no—
1526C23C23×D412yes—
1527C23C2611yescharacteristic
1528Q8—44no—
1529Q8—48no—
1530Q8—44no—
1531Q8—48no—
1532Q8—48no—
1533Q8—44no—
1534Q8—88no—
1535D4—48no—
1536D4—48no—
1537D4—48no—
1538D4—48no—
1539D4—44no—
1540D4—48no—
1541D4—82no—
1542D4—82no—
1543D4—84no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—84no—
1548D4—88no—
1549D4—84no—
1550D4—88no—
1551D4—84no—
1552D4—88no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—164no—
1557D4—164no—
1558D4—164no—
1559D4—164no—
1560D4—164no—
1561D4—164no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—28no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—88no—
1627C2×C4—84no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—88no—
1631C2×C4—82no—
1632C2×C4—82no—
1633C2×C4C23×D414yes—
1634C2×C4C23×D412yes—
1635C2×C4C23×D412yes—
1636C2×C4C23×D414yes—
1637C2×C4C23×D414yes—
1638C2×C4C23×D414yes—
1639C2×C4C23×D412yes—
1640C2×C4C23×D412yes—
1641C2×C4C23×D412yes—
1642C2×C4C23×D412yes—
1643C2×C4#58514yes—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—44no—
1654C22—42no—
1655C22—44no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—44no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—44no—
1666C22—42no—
1667C22—44no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—44no—
1676C22—44no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—88no—
1683C22C24×D411yescharacteristic
1684C22C2×#58512yes—
1685C22H(7,𝔽2)12yes—
1686C22H(7,𝔽2)11yescharacteristic
1687C222−1+611yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—24no—
1692C4—24no—
1693C4—22no—
1694C4—22no—
1695C4—24no—
1696C4—24no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—44no—
1704C4—42no—
1705C4—42no—
1706C4—44no—
1707C4—44no—
1708C4—44no—
1709C4—44no—
1710C4#348714yes—
1711C2—42no—
1712C2—82no—
1713C2—82no—
1714C2—82no—
1715C2—84no—
1716C2—82no—
1717C2C2×#348711yescharacteristic
1718C2#6285211yescharacteristic
1719C2#6285311yescharacteristic
1720C2#6288412yes—
1721C2#6288512yes—
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. C2×#3554C2semidirect
2. C2×#3455C2semidirect
3. #49572C2semidirect
4. #49553C2semidirect
5. #49552C2semidirect
6. #47859C2semidirect
7. #47837C2semidirect
8. #47836C2semidirect
9. #47801C2semidirect
10. #47797C2semidirect
11. #47761C2semidirect
12. #47691C2semidirect
13. #39138C2semidirect
14. #39137C2semidirect
15. #39130C2semidirect
16. #39130C2semidirect
17. #39126C2semidirect
18. #39124C2semidirect
19. #39119C2semidirect
20. #39118C2semidirect
21. #37639C2semidirect
22. #37550C2semidirect
23. #37271C2semidirect
24. #37270C2semidirect
25. #35302C2semidirect
26. #35301C2semidirect
27. #35259C2semidirect
28. #35258C2semidirect
29. #34373C2semidirect
32. C2×#559C22semidirect
33. C2×#559C22semidirect
34. C2×#557C22semidirect
35. C2×#554C22semidirect
36. C2×#550C22semidirect
37. C2×D4×Q8C22semidirect
44. C2×#542C22semidirect
51. C2×#539C22semidirect
55. C2×#536C22semidirect
67. #2857C22semidirect
68. #2856C22semidirect
72. #2851C22semidirect
73. #2850C22semidirect
77. #2821C22semidirect
78. #2819C22semidirect
79. #2818C22semidirect
84. #2730C22semidirect
85. #2730C22semidirect
86. #2729C22semidirect
87. #2728C22semidirect
90. #2723C22semidirect
91. #2719C22semidirect
94. #2714C22semidirect
99. #2705C22semidirect
103. #2702C22semidirect
107. #2696C22semidirect
108. #2694C22semidirect
109. #2694C22semidirect
111. #2690C22semidirect
113. #2682C22semidirect
115. #2681C22semidirect
124. #2673C22semidirect
132. #2629C22semidirect
134. #2628C22semidirect
136. #2620C22semidirect
139. #2619C22semidirect
147. #2610C22semidirect
154. #2563C22semidirect
155. #2563C22semidirect
158. #2562C22semidirect
159. #2562C22semidirect
160. #2560C22semidirect
161. #2558C22semidirect
163. #2554C22semidirect
169. #2541C22semidirect
170. #2541C22semidirect
174. #2540C22semidirect
175. #2540C22semidirect
181. #2537C22semidirect
182. #2537C22semidirect
184. #2536C22semidirect
185. #2536C22semidirect
189. #2535C22semidirect
192. #2490C22semidirect
193. #2489C22semidirect
195. #2469C22semidirect
196. #2469C22semidirect
198. #2467C22semidirect
199. #2467C22semidirect
200. #2465C22semidirect
203. #2463C22semidirect
208. #2458C22semidirect
209. #2458C22semidirect
214. #2456C22semidirect
215. #2456C22semidirect
216. #2456C22semidirect
218. #2454C22semidirect
220. #2445C22semidirect
221. #2443C22semidirect
222. #2442C22semidirect
227. #2426C22semidirect
231. #2409C22semidirect
232. #2407C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
241. Q8×C4⋊C4C22semidirect
242. #2336C22semidirect
243. #2331C22semidirect
244. #2327C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2324C22semidirect
252. #2323C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×#121C22semidirect
257. C4×#121C22semidirect
258. C4×#121C22semidirect
290. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
C2×#34552
#495722
#495532
#495522
#478592
#478372
#478362
#478012
#477972
#477612
#476912
#391382
#391372
#391302
#391262
#391242
#391192
#391182
#376392
#375502
#372712
#372702
#353022
#353012
#352592
#352582
#343732