Finite Group Databasebeta

← #7710085

Subgroups — #7710085

Order 512.

6618 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×#3563C211yesmaximal, characteristic, complemented
2C2×#3559C211yesmaximal, characteristic, complemented
3#59833C212yesmaximal, complemented
4#59824C212yesmaximal, complemented
5#59658C212yesmaximal, complemented
6#59586C212yesmaximal, complemented
7#46239C212yesmaximal, complemented
8#46238C212yesmaximal, complemented
9#46150C212yesmaximal, complemented
10#46000C212yesmaximal, complemented
11#39459C214yesmaximal, complemented
12#39427C212yesmaximal, complemented
13#39426C212yesmaximal, complemented
14#39391C214yesmaximal, complemented
15#39382C212yesmaximal, complemented
16#39366C212yesmaximal, complemented
17#39165C212yesmaximal, complemented
18#38950C212yesmaximal, complemented
19#38087C214yesmaximal, complemented
20#37555C211yesmaximal, characteristic, complemented
21#37554C211yesmaximal, characteristic, complemented
22#36742C212yesmaximal, complemented
23#36741C212yesmaximal, complemented
24#36639C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36518C212yesmaximal, complemented
27#36424C214yesmaximal, complemented
28#36424C212yesmaximal, complemented
29#35158C212yesmaximal, complemented
30#35004C212yesmaximal, complemented
31C2×C4×#125C211yesmaximal, characteristic, complemented
32#3563—216no—
33#3559—216no—
34C2×#564C2212yes—
35C2×#563C2212yes—
36C2×#563C2212yes—
37C2×#562C2212yes—
38C2×#557C2212yes—
39C2×#554C2212yes—
40C2×#554C2212yes—
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#552C2212yes—
44C2×#552C2214yes—
45C2×#552C2212yes—
46C2×#547C2212yes—
47C2×#547C2214yes—
48C2×#544C2212yes—
49C2×#544C2212yes—
50C2×#544C2212yes—
51C2×#541C2212yes—
52C2×#541C2214yes—
53C2×#540C2212yes—
54C2×#539C2214yes—
55C2×#539C2212yes—
56C2×#539C2212yes—
57C2×#537C2212yes—
58C2×#533C2211yescharacteristic
59C2×#532C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C2×#529C2211yescharacteristic
62C22×#125C2211yescharacteristic
63#2862C2211yescharacteristic
64#2862C2211yescharacteristic
65#2861C2211yescharacteristic
66#2861C2211yescharacteristic
67#2861C2212yes—
68#2861C2212yes—
69#2860C2212yes—
70#2860C2212yes—
71#2859C2211yescharacteristic
72#2858C2211yescharacteristic
73#2858C2211yescharacteristic
74#2858C2211yescharacteristic
75#2857C2211yescharacteristic
76#2856C2211yescharacteristic
77#2854C2212yes—
78#2854C2212yes—
79#2854C2214yes—
80#2850C2211yescharacteristic
81#2850C2211yescharacteristic
82#2850C2212yes—
83#2850C2212yes—
84#2850C2212yes—
85#2850C2212yes—
86#2850C2214yes—
87#2822C2212yes—
88#2820C2212yes—
89#2820C2212yes—
90#2819C2212yes—
91#2725C2214yes—
92#2723C2214yes—
93#2721C2214yes—
94#2720C2214yes—
95#2719C2214yes—
96#2716C2214yes—
97#2716C2214yes—
98#2714C2214yes—
99#2714C2214yes—
100#2713C2214yes—
101#2713C2214yes—
102#2711C2214yes—
103#2711C2214yes—
104#2707C2214yes—
105#2707C2214yes—
106#2705C2214yes—
107#2704C2214yes—
108#2702C2214yes—
109#2702C2214yes—
110#2696C2214yes—
111#2696C2214yes—
112#2694C2214yes—
113#2694C2214yes—
114#2692C2214yes—
115#2692C2214yes—
116#2690C2214yes—
117#2690C2214yes—
118#2681C2214yes—
119#2677C2214yes—
120#2676C2214yes—
121#2674C2214yes—
122#2673C2214yes—
123#2659C2212yes—
124#2656C2212yes—
125#2639C2212yes—
126#2639C2212yes—
127#2639C2214yes—
128#2637C2214yes—
129#2636C2214yes—
130#2628C2212yes—
131#2628C2212yes—
132#2621C2212yes—
133#2619C2212yes—
134#2618C2214yes—
135#2581C2212yes—
136#2580C2212yes—
137#2564C2214yes—
138#2560C2214yes—
139#2560C2214yes—
140#2560C2214yes—
141#2560C2214yes—
142#2558C2214yes—
143#2558C2214yes—
144#2558C2214yes—
145#2558C2214yes—
146#2556C2214yes—
147#2556C2214yes—
148#2556C2214yes—
149#2556C2214yes—
150#2556C2214yes—
151#2554C2214yes—
152#2554C2214yes—
153#2554C2214yes—
154#2554C2214yes—
155#2554C2214yes—
156#2550C2214yes—
157#2550C2212yes—
158#2550C2212yes—
159#2543C2214yes—
160#2540C2214yes—
161#2540C2212yes—
162#2540C2212yes—
163#2536C2212yes—
164#2535C2212yes—
165#2519C2214yes—
166#2519C2214yes—
167#2519C2214yes—
168#2498C2214yes—
169#2498C2214yes—
170#2498C2214yes—
171#2492C2212yes—
172#2492C2214yes—
173#2492C2214yes—
174#2492C2214yes—
175#2491C2212yes—
176#2491C2214yes—
177#2491C2214yes—
178#2490C2212yes—
179#2490C2214yes—
180#2490C2214yes—
181#2490C2214yes—
182#2489C2214yes—
183#2489C2212yes—
184#2489C2214yes—
185#2481C2214yes—
186#2477C2214yes—
187#2473C2214yes—
188#2471C2214yes—
189#2467C2214yes—
190#2465C2214yes—
191#2461C2214yes—
192#2461C2214yes—
193#2461C2214yes—
194#2460C2214yes—
195#2458C2214yes—
196#2454C2212yes—
197#2453C2212yes—
198#2452C2212yes—
199#2451C2212yes—
200#2442C2212yes—
201#2442C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2430C2214yes—
205#2430C2214yes—
206#2430C2214yes—
207#2427C2212yes—
208#2427C2212yes—
209#2426C2212yes—
210#2426C2212yes—
211#2417C2212yes—
212#2417C2212yes—
213#2417C2214yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2416C2214yes—
218#2416C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2367C2214yes—
222#2367C2212yes—
223#2367C2212yes—
224#2363C2212yes—
225#2363C2214yes—
226#2362C2212yes—
227#2361C2212yes—
228#2360C2212yes—
229#2360C2214yes—
230#2352C2212yes—
231#2352C2214yes—
232#2352C2212yes—
233#2325C2214yes—
234#2311C2214yes—
235C4×C4⋊Q8C2211yescharacteristic
236C4×#127C2211yescharacteristic
237C4×#125C2212yes—
238C4×#125C2212yes—
239C4×#125C2212yes—
240C4×#125C2212yes—
241C4×#125C2212yes—
242C4×#125C2212yes—
243C4×#125C2212yes—
244C4×#125C2212yes—
245C4×#124C2211yescharacteristic
246C4×#124C2212yes—
247C4×#124C2211yescharacteristic
248C4×#124C2212yes—
249C4×#124C2212yes—
250C4×#124C2212yes—
251C4×#121C2212yes—
252C4×#121C2212yes—
253C4×#121C2214yes—
254#2297C2212yes—
255#2297C2212yes—
256#2297C2214yes—
257#2293C2212yes—
258#2293C2212yes—
259C2×#389C2211yescharacteristic
260C2×#389C2211yescharacteristic
261C2×#387C2212yes—
262C2×#387C2212yes—
263C2×#382C2211yescharacteristic
264C2×C4×C4⋊C4C2211yescharacteristic
265C2×C4×C4⋊C4C2212yes—
266C2×C4×C4⋊C4C2212yes—
267C2×C4×C4⋊C4C2211yescharacteristic
268C2×C43C2211yescharacteristic
269C22×#41C2314yes—
270C22×#41C2312yes—
271#564—216no—
272#563—216no—
273#563—216no—
274#562—216no—
275#557—216no—
276#554—216no—
277#554—216no—
278#553—216no—
279#553—216no—
280#552—216no—
281#552—232no—
282#552—216no—
283#547—232no—
284#547—216no—
285#544—216no—
286#544—216no—
287#544—216no—
288#541—232no—
289#541—216no—
290#540—216no—
291#539—232no—
292#539—216no—
293#539—216no—
294#537—216no—
295#533—28no—
296#532—28no—
297C2×C4⋊Q8C2311yescharacteristic
298C2×C4⋊Q8C2311yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2314yes—
301C2×C4⋊Q8C2314yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2311yescharacteristic
308#529—28no—
309#529—28no—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125D4116yescomplemented
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2311yescharacteristic
344C2×#124C2312yes—
345C2×#124C2311yescharacteristic
346C2×#124C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2314yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×#117C2314yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2314yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2312yes—
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2312yes—
440C22×C42C2311yescharacteristic
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2314yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
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#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2312yes—
748C4×C22⋊C4C2312yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C2×#95C2312yes—
752C2×#95C2312yes—
753C2×#95C2312yes—
754C2×#95C2312yes—
755C2×#95C2312yes—
756C2×#95C2312yes—
757C43C2311yescharacteristic
758C43C2311yescharacteristic
759C43C2311yescharacteristic
760C43C2311yescharacteristic
761C43C2311yescharacteristic
762C43C2311yescharacteristic
763C43C2311yescharacteristic
764C43C2311yescharacteristic
765C2×#41—28no—
766C2×#41—216no—
767C2×#41—48no—
768C2×#41—44no—
769C2×#41—44no—
770C2×#41—48no—
771C22×Q8C2412yes—
772C22×Q8C2411yescharacteristic
773C22×Q8C2414yes—
774C22×Q8C2412yes—
775C22×Q8C2411yescharacteristic
776C22×Q8C2414yes—
777C22×Q8C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2411yescharacteristic
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2411yescharacteristic
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2411yescharacteristic
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2414yes—
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C4⋊Q8—216no—
811C4⋊Q8—28no—
812C4⋊Q8—216no—
813C4⋊Q8—28no—
814C4⋊Q8—216no—
815C4⋊Q8—24no—
816C4⋊Q8—24no—
817C4⋊Q8—24no—
818C4⋊Q8—42no—
819#127—24no—
820#127—42no—
821#126—216no—
822#126—216no—
823#126—216no—
824#126—216no—
825#126—216no—
826#126—216no—
827#126—28no—
828#126—28no—
829#125—216no—
830#125—216no—
831#125—216no—
832#125—216no—
833#125—216no—
834#125—216no—
835#125—216no—
836#125—28no—
837#125—216no—
838#125—216no—
839#125—28no—
840#125—24no—
841#125—24no—
842#125—28no—
843#125C2×D4116yes—
844#125C2×D4116yes—
845#125C2×D4116yes—
846#125C2×D4116yes—
847#124—24no—
848#124—24no—
849#124—28no—
850#124—28no—
851#124—48no—
852#124—42no—
853#124—44no—
854#124—44no—
855#124—42no—
856#124—44no—
857#123—28no—
858#123—28no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—216no—
863#123—216no—
864#123—216no—
865#123—216no—
866#123—216no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—216no—
874C22⋊Q8—216no—
875C22⋊Q8—216no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—216no—
881C22⋊Q8—216no—
882C22⋊Q8—216no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—24no—
887#121—24no—
888#121—28no—
889#121—28no—
890#121—216no—
891#121—216no—
892#121—216no—
893#121—28no—
894#121—216no—
895#121—28no—
896#121—48no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—48no—
902#121—48no—
903C4×Q8—216no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—28no—
909C4×Q8—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—216no—
913C4×D4—216no—
914C4×D4—216no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—48no—
923C4×D4—44no—
924#117—28no—
925#117—216no—
926#117—216no—
927#117—28no—
928#117—28no—
929#117—28no—
930#117—28no—
931C2×C4⋊C4—216no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—42no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4C2×D4116yes—
939C2×C4⋊C4C2×D418yes—
940C2×C4⋊C4C2×D4116yes—
941C2×C4⋊C4C2×D418yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C42—24no—
1056C2×C42—42no—
1057C2×C42—44no—
1058C2×C42—42no—
1059C2×C42—42no—
1060C2×C42—42no—
1061C2×C42—44no—
1062C2×C42—42no—
1063C2×C42C2×D418yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147C24C2512yes—
1148C24C2514yes—
1149C24C2512yes—
1150C24C2511yescharacteristic
1151#41—816no—
1152#41—832no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—28no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—28no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—41no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8—41no—
1170C2×Q8—44no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—44no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—28no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—28no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—41no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—41no—
1206C2×D4—42no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4C22×D414yes—
1266C22×C4C22×D414yes—
1267C22×C4C22×D418yes—
1268C22×C4C22×D414yes—
1269C22×C4C22×D418yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2514yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—28no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4C22×D418yes—
1350C4⋊C4C22×D418yes—
1351C4⋊C4C22×D4116yes—
1352C4⋊C4C22×D4116yes—
1353C4⋊C4C22×D4116yes—
1354C4⋊C4C22×D4116yes—
1355C4⋊C4C22×D418yes—
1356C4⋊C4C22×D418yes—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C42—28no—
1411C42—28no—
1412C42—24no—
1413C42—28no—
1414C42—24no—
1415C42—28no—
1416C42—28no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—28no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—41no—
1428C42—41no—
1429C42—44no—
1430C42—41no—
1431C42—41no—
1432C42—41no—
1433C42—41no—
1434C42—41no—
1435C42—41no—
1436C42—44no—
1437C42—44no—
1438C42—41no—
1439C42—41no—
1440C42—41no—
1441C42—41no—
1442C42—41no—
1443C42—41no—
1444C42C22×D414yes—
1445C42C22×D414yes—
1446C42C22×D414yes—
1447C42C22×D414yes—
1448C422−1+414yes—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—24no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—24no—
1461C23—24no—
1462C23—22no—
1463C23—22no—
1464C23—24no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—24no—
1470C23—22no—
1471C23—22no—
1472C23—24no—
1473C23—22no—
1474C23C23×D412yes—
1475C23#58512yes—
1476C23#58512yes—
1477C23C2611yescharacteristic
1478Q8—48no—
1479Q8—88no—
1480Q8—82no—
1481Q8—84no—
1482Q8—82no—
1483Q8—88no—
1484Q8—84no—
1485D4—48no—
1486D4—48no—
1487D4—416no—
1488D4—48no—
1489D4—84no—
1490D4—88no—
1491D4—82no—
1492D4—84no—
1493D4—82no—
1494D4—84no—
1495D4—88no—
1496D4—84no—
1497D4—88no—
1498D4—164no—
1499C2×C4—28no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—28no—
1523C2×C4—216no—
1524C2×C4—28no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4—88no—
1580C2×C4—88no—
1581C2×C4—88no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4C23×D412yes—
1585C2×C4C23×D418yes—
1586C2×C4C23×D418yes—
1587C2×C4C23×D412yes—
1588C2×C4C23×D412yes—
1589C2×C4C23×D412yes—
1590C2×C4C23×D412yes—
1591C2×C4C23×D412yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4#58512yes—
1596C2×C4#58512yes—
1597C2×C4#58512yes—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—42no—
1605C22—44no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—44no—
1613C22—44no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—44no—
1618C22—42no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—44no—
1625C22#350014yes—
1626C22C24×D411yescharacteristic
1627C22C22×2−1+411yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—28no—
1637C4—22no—
1638C4—28no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—41no—
1645C4—41no—
1646C4—44no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—41no—
1658C4—44no—
1659C4#349714yes—
1660C2—24no—
1661C2—82no—
1662C2—84no—
1663C2—82no—
1664C2#6274311yescharacteristic
1665C2#6275211yescharacteristic
1666C2C2×#349711yescharacteristic
1667C2C2×#350011yescharacteristic
1668C2#6281211yescharacteristic
1669C2#6282511yescharacteristic
1670C2#6282811yescharacteristic
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×#3563C2semidirect
2. C2×#3559C2semidirect
3. #59833C2semidirect
4. #59824C2semidirect
5. #59658C2semidirect
6. #59586C2semidirect
7. #46239C2semidirect
8. #46238C2semidirect
9. #46150C2semidirect
10. #46000C2semidirect
11. #39459C2semidirect
12. #39427C2semidirect
13. #39426C2semidirect
14. #39391C2semidirect
15. #39382C2semidirect
16. #39366C2semidirect
17. #39165C2semidirect
18. #38950C2semidirect
19. #38087C2semidirect
20. #37555C2semidirect
21. #37554C2semidirect
22. #36742C2semidirect
23. #36741C2semidirect
24. #36639C2semidirect
25. #36631C2semidirect
26. #36518C2semidirect
27. #36424C2semidirect
28. #36424C2semidirect
29. #35158C2semidirect
30. #35004C2semidirect
31. C2×C4×#125C2semidirect
318. C2×#125D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35632
C2×#35592
#598332
#598242
#596582
#595862
#462392
#462382
#461502
#460002
#394592
#394272
#394262
#393912
#393822
#393662
#391652
#389502
#380872
#375552
#375542
#367422
#367412
#366392
#366312
#365182
#364242
#351582
#350042
C2×C4×#1252