Finite Group Databasebeta

← #7645490

Subgroups — #7645490

Order 512.

6614 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42301C214yesmaximal, complemented
4#42300C214yesmaximal, complemented
5#41943C214yesmaximal, complemented
6#41942C214yesmaximal, complemented
7#39719C212yesmaximal, complemented
8#39718C212yesmaximal, complemented
9#39591C212yesmaximal, complemented
10#39590C212yesmaximal, complemented
11#39131C212yesmaximal, complemented
12#39130C212yesmaximal, complemented
13#39119C212yesmaximal, complemented
14#39118C212yesmaximal, complemented
15#37620C212yesmaximal, complemented
16#37555C211yesmaximal, characteristic, complemented
17#37554C211yesmaximal, characteristic, complemented
18#37190C214yesmaximal, complemented
19#36742C212yesmaximal, complemented
20#36741C212yesmaximal, complemented
21#35366C214yesmaximal, complemented
22#35241C211yesmaximal, characteristic, complemented
23#35238C211yesmaximal, characteristic, complemented
24#35234C212yesmaximal, complemented
25#35130C212yesmaximal, complemented
26#35006C212yesmaximal, complemented
27#35004C212yesmaximal, complemented
28#34964C212yesmaximal, complemented
29C2×#2355C211yesmaximal, characteristic, complemented
30#3507—216no—
31C2×#559C2212yes—
32C2×#557C2212yes—
33C2×#556C2212yes—
34C2×#556C2214yes—
35C2×#554C2212yes—
36C2×#552C2214yes—
37#3461—216no—
38C2×#544C2211yescharacteristic
39C2×#542C2212yes—
40C2×#542C2212yes—
41C2×#541C2212yes—
42C2×#541C2212yes—
43C2×#539C2212yes—
44C2×#539C2212yes—
45C2×#539C2212yes—
46C2×#539C2211yescharacteristic
47C2×#539C2211yescharacteristic
48C2×#537C2211yescharacteristic
49C2×#536C2212yes—
50C2×#536C2212yes—
51C2×#533C2212yes—
52C2×#533C2212yes—
53C2×#533C2211yescharacteristic
54C2×#532C2211yescharacteristic
55C2×#529C2212yes—
56C2×#529C2212yes—
57C2×#529C2212yes—
58C2×#529C2211yescharacteristic
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2212yes—
62C2×#520C2212yes—
63C2×C4×#41C2212yes—
64C22×C4×Q8C2211yescharacteristic
65#2857C2212yes—
66#2856C2212yes—
67#2854C2214yes—
68#2854C2214yes—
69#2851C2212yes—
70#2851C2212yes—
71#2850C2212yes—
72#2850C2212yes—
73#2850C2212yes—
74#2850C2212yes—
75#2823C2214yes—
76#2823C2214yes—
77#2822C2212yes—
78#2820C2212yes—
79#2820C2212yes—
80#2819C2212yes—
81#2734C2214yes—
82#2733C2214yes—
83#2732C2214yes—
84#2732C2214yes—
85#2731C2214yes—
86#2731C2214yes—
87#2730C2214yes—
88#2730C2214yes—
89#2730C2214yes—
90#2730C2214yes—
91#2729C2214yes—
92#2729C2214yes—
93#2729C2214yes—
94#2729C2214yes—
95#2728C2214yes—
96#2728C2214yes—
97#2723C2214yes—
98#2721C2214yes—
99#2720C2214yes—
100#2719C2214yes—
101#2716C2214yes—
102#2714C2214yes—
103#2713C2214yes—
104#2711C2214yes—
105#2696C2214yes—
106#2694C2214yes—
107#2692C2214yes—
108#2690C2214yes—
109#2677C2214yes—
110#2676C2214yes—
111#2674C2214yes—
112#2673C2214yes—
113#2664C2214yes—
114#2664C2214yes—
115#2662C2214yes—
116#2662C2214yes—
117#2659C2212yes—
118#2656C2212yes—
119#2639C2212yes—
120#2639C2212yes—
121#2637C2214yes—
122#2637C2214yes—
123#2636C2214yes—
124#2636C2214yes—
125#2629C2214yes—
126#2629C2212yes—
127#2629C2212yes—
128#2628C2212yes—
129#2628C2212yes—
130#2621C2212yes—
131#2620C2212yes—
132#2620C2212yes—
133#2620C2214yes—
134#2619C2212yes—
135#2618C2214yes—
136#2618C2214yes—
137#2609C2214yes—
138#2609C2214yes—
139#2601C2214yes—
140#2601C2214yes—
141#2601C2214yes—
142#2601C2214yes—
143#2592C2212yes—
144#2592C2212yes—
145#2584C2212yes—
146#2584C2212yes—
147#2582C2212yes—
148#2581C2212yes—
149#2581C2212yes—
150#2580C2212yes—
151#2580C2212yes—
152#2568C2211yescharacteristic
153#2567C2211yescharacteristic
154#2566C2212yes—
155#2565C2212yes—
156#2564C2214yes—
157#2563C2211yescharacteristic
158#2562C2212yes—
159#2562C2212yes—
160#2560C2214yes—
161#2560C2214yes—
162#2558C2214yes—
163#2558C2214yes—
164#2556C2214yes—
165#2556C2214yes—
166#2554C2214yes—
167#2554C2214yes—
168#2548C2211yescharacteristic
169#2547C2211yescharacteristic
170#2546C2211yescharacteristic
171#2545C2212yes—
172#2544C2212yes—
173#2543C2214yes—
174#2542C2211yescharacteristic
175#2541C2211yescharacteristic
176#2540C2212yes—
177#2540C2212yes—
178#2538C2212yes—
179#2538C2212yes—
180#2537C2212yes—
181#2536C2212yes—
182#2536C2212yes—
183#2535C2212yes—
184#2535C2212yes—
185#2519C2214yes—
186#2519C2214yes—
187#2512C2214yes—
188#2506C2214yes—
189#2498C2214yes—
190#2498C2214yes—
191#2498C2214yes—
192#2498C2214yes—
193#2481C2214yes—
194#2479C2214yes—
195#2477C2214yes—
196#2475C2214yes—
197#2473C2214yes—
198#2471C2214yes—
199#2469C2214yes—
200#2467C2214yes—
201#2465C2214yes—
202#2463C2214yes—
203#2462C2214yes—
204#2461C2214yes—
205#2461C2214yes—
206#2460C2214yes—
207#2458C2214yes—
208#2456C2214yes—
209#2452C2214yes—
210#2449C2214yes—
211#2445C2214yes—
212#2443C2214yes—
213#2430C2214yes—
214#2430C2214yes—
215#2430C2214yes—
216#2430C2214yes—
217#2417C2214yes—
218#2417C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2417C2212yes—
222#2416C2214yes—
223#2416C2212yes—
224#2416C2212yes—
225#2416C2212yes—
226#2416C2212yes—
227#2396C2214yes—
228#2392C2214yes—
229#2355C2212yes—
230#2355C2212yes—
231#2355C2214yes—
232#2355C2214yes—
233#2355C2212yes—
234#2355C2212yes—
235#2325C2214yes—
236#2325C2214yes—
237#2324C2212yes—
238#2324C2212yes—
239#2324C2212yes—
240#2324C2212yes—
241#2323C2212yes—
242#2323C2212yes—
243#2323C2212yes—
244#2323C2212yes—
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×#121C2214yes—
248C4×#121C2214yes—
249C4×#121C2212yes—
250C4×#121C2212yes—
251C2×#391C2212yes—
252C2×#387C2212yes—
253C2×#387C2212yes—
254C2×#384C2211yescharacteristic
255C2×#382C2211yescharacteristic
256C2×#382C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C4⋊C4C2211yescharacteristic
259C2×C4×C4⋊C4C2211yescharacteristic
260C2×C4×C4⋊C4C2212yes—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×Q8C2311yescharacteristic
264#559—216no—
265#557—216no—
266#556—216no—
267#556—232no—
268#554—216no—
269#552—232no—
270#544—28no—
271#542—216no—
272#542—216no—
273#541—216no—
274#541—216no—
275#539—216no—
276#539—28no—
277#539—28no—
278#539—216no—
279#539—216no—
280#537—28no—
281#536—216no—
282#536—216no—
283#533—216no—
284#533—216no—
285#533—28no—
286#532—28no—
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2312yes—
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2314yes—
295C2×C4⋊Q8C2312yes—
296C2×#127C2311yescharacteristic
297C2×#127C2312yes—
298#529—216no—
299#529—216no—
300#529—216no—
301#529—28no—
302#529—28no—
303#529—216no—
304#529—216no—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2314yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394#520—216no—
395C4×#41—216no—
396C2×C4×Q8D4116yescomplemented
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2314yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2314yes—
436C2×#117C2314yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2314yes—
440C22×C4⋊C4C2314yes—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C42C2312yes—
451C22×C42C2312yes—
452C22×C42C2312yes—
453C22×C42C2312yes—
454C22×C42C2312yes—
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#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#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
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#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
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#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#384C2312yes—
691#384C2312yes—
692#384C2314yes—
693#384C2312yes—
694#384C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C2×#95C2312yes—
741C2×#95C2312yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#41—28no—
748C2×#41—28no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C22×Q8—42no—
754C22×Q8—42no—
755C22×Q8C2×D418yes—
756C22×Q8C2412yes—
757C22×Q8C2412yes—
758C22×Q8C2412yes—
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2411yescharacteristic
762C22×Q8C2411yescharacteristic
763C22×Q8C2412yes—
764C22×Q8C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2411yescharacteristic
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C4⋊Q8—28no—
800C4⋊Q8—28no—
801C4⋊Q8—216no—
802C4⋊Q8—28no—
803C4⋊Q8—28no—
804C4⋊Q8—24no—
805C4⋊Q8—24no—
806C4⋊Q8—24no—
807C4⋊Q8—82no—
808#127—24no—
809#127—82no—
810#126—28no—
811#126—28no—
812#126—28no—
813#126—28no—
814#126—216no—
815#126—216no—
816#126—28no—
817#126—28no—
818#126—28no—
819#126—28no—
820#126—216no—
821#126—216no—
822#125—28no—
823#125—28no—
824#125—28no—
825#125—28no—
826#125—28no—
827#125—28no—
828#125—216no—
829#125—216no—
830#125—28no—
831#125—24no—
832#125—24no—
833#125—28no—
834#125—28no—
835#125—28no—
836#124—28no—
837#124—28no—
838#124—216no—
839#124—28no—
840#124—24no—
841#124—24no—
842#124—28no—
843#124—28no—
844#124—28no—
845#124—82no—
846#124—82no—
847#123—28no—
848#123—28no—
849#123—28no—
850#123—28no—
851#123—216no—
852#123—216no—
853#123—28no—
854#123—28no—
855#123—28no—
856#123—28no—
857#123—216no—
858#123—216no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—216no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—28no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—84no—
883#121—28no—
884#121—28no—
885#121—24no—
886#121—24no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—28no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—48no—
895#121—48no—
896#121—48no—
897#121—48no—
898#121—84no—
899C4×Q8—216no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—24no—
903C4×Q8—28no—
904C4×Q8—24no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8C2×D4116yes—
910C4×Q8C2×D4116yes—
911C4×Q8C2×D4116yes—
912C4×Q8C2×D4116yes—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—216no—
918C4×D4—216no—
919C4×D4—216no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—84no—
930C4×D4—84no—
931#117—28no—
932#117—28no—
933#117—216no—
934#117—28no—
935#117—28no—
936#117—28no—
937#117—28no—
938#117—28no—
939#117—28no—
940#117—216no—
941#117—216no—
942C2×C4⋊C4—216no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—42no—
946C2×C4⋊C4—42no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—82no—
949C2×C4⋊C4C2×D418yes—
950C2×C4⋊C4C2×D418yes—
951C2×C4⋊C4C2×D418yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C42—28no—
1074C2×C42—28no—
1075C2×C42—44no—
1076C2×C42—82no—
1077C2×C42—82no—
1078C2×C42C2×D418yes—
1079C2×C42C2×D418yes—
1080C2×C42C2×D418yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
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#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2512yes—
1147C24C2514yes—
1148C24C2512yes—
1149C24C2511yescharacteristic
1150#41—432no—
1151#41—432no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—416no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—41no—
1172C2×Q8—42no—
1173C2×Q8—41no—
1174C2×Q8—42no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—42no—
1178C2×Q8C22×D418yes—
1179C2×Q8C22×D418yes—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—28no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—41no—
1210C2×D4—42no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—41no—
1214C2×D4—42no—
1215C2×D4—41no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—42no—
1275C22×C4C22×D414yes—
1276C22×C4C22×D414yes—
1277C22×C4C22×D414yes—
1278C22×C4C22×D414yes—
1279C22×C4C22×D414yes—
1280C22×C4C22×D414yes—
1281C22×C4C22×D414yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—28no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4C22×D418yes—
1371C4⋊C4C22×D418yes—
1372C4⋊C4C22×D418yes—
1373C4⋊C4C22×D418yes—
1374C4⋊C4C22×D418yes—
1375C4⋊C4C22×D418yes—
1376C4⋊C42−1+414yes—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—28no—
1435C42—28no—
1436C42—28no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42C22×D418yes—
1446C42C22×D418yes—
1447C42C22×D414yes—
1448C42C22×D418yes—
1449C42C22×D414yes—
1450C42C22×D418yes—
1451C42C22×D414yes—
1452C42C22×D414yes—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—24no—
1460C23—22no—
1461C23—24no—
1462C23—22no—
1463C23—22no—
1464C23—24no—
1465C23—22no—
1466C23—22no—
1467C23—24no—
1468C23—22no—
1469C23—22no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23—24no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23—22no—
1478C23C23×D412yes—
1479C23#58512yes—
1480C23#58512yes—
1481C23C2611yescharacteristic
1482Q8—48no—
1483Q8—48no—
1484Q8—48no—
1485Q8—48no—
1486Q8—48no—
1487Q8—84no—
1488Q8—82no—
1489Q8—84no—
1490Q8—82no—
1491D4—48no—
1492D4—48no—
1493D4—48no—
1494D4—48no—
1495D4—416no—
1496D4—48no—
1497D4—84no—
1498D4—84no—
1499D4—82no—
1500D4—82no—
1501D4—88no—
1502D4—88no—
1503D4—164no—
1504D4—164no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—28no—
1526C2×C4—28no—
1527C2×C4—28no—
1528C2×C4—28no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—48no—
1575C2×C4—416no—
1576C2×C4—48no—
1577C2×C4—48no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—88no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4C23×D414yes—
1588C2×C4C23×D412yes—
1589C2×C4C23×D414yes—
1590C2×C4C23×D414yes—
1591C2×C4C23×D412yes—
1592C2×C4C23×D414yes—
1593C2×C4C23×D412yes—
1594C2×C4C23×D412yes—
1595C2×C4C23×D412yes—
1596C2×C4C23×D412yes—
1597C2×C4C2×2−1+414yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—42no—
1607C22—42no—
1608C22—44no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—44no—
1615C22—42no—
1616C22—44no—
1617C22—42no—
1618C22—42no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—44no—
1623C22—42no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22#344914yes—
1628C22C24×D411yescharacteristic
1629C22C22×2−1+411yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22H(7,𝔽2)11yescharacteristic
1634C222−1+611yescharacteristic
1635C4—22no—
1636C4—24no—
1637C4—24no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—24no—
1642C4—22no—
1643C4—24no—
1644C4—24no—
1645C4—42no—
1646C4—42no—
1647C4—44no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4#349714yes—
1660C2—24no—
1661C2—82no—
1662C2—82no—
1663C2—84no—
1664C2C2×#344911yescharacteristic
1665C2C2×#349711yescharacteristic
1666C2#6285311yescharacteristic
1667C2#6294811yescharacteristic
1668C2#6294911yescharacteristic
1669C2#6296411yescharacteristic
1670C2#6296511yescharacteristic
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×#3507C2semidirect
2. C2×#3461C2semidirect
3. #42301C2semidirect
4. #42300C2semidirect
5. #41943C2semidirect
6. #41942C2semidirect
7. #39719C2semidirect
8. #39718C2semidirect
9. #39591C2semidirect
10. #39590C2semidirect
11. #39131C2semidirect
12. #39130C2semidirect
13. #39119C2semidirect
14. #39118C2semidirect
15. #37620C2semidirect
16. #37555C2semidirect
17. #37554C2semidirect
18. #37190C2semidirect
19. #36742C2semidirect
20. #36741C2semidirect
21. #35366C2semidirect
22. #35241C2semidirect
23. #35238C2semidirect
24. #35234C2semidirect
25. #35130C2semidirect
26. #35006C2semidirect
27. #35004C2semidirect
28. #34964C2semidirect
29. C2×#2355C2semidirect
396. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
C2×#34612
#423012
#423002
#419432
#419422
#397192
#397182
#395912
#395902
#391312
#391302
#391192
#391182
#376202
#375552
#375542
#371902
#367422
#367412
#353662
#352412
#352382
#352342
#351302
#350062
#350042
#349642
C2×#23552