Finite Group Databasebeta

← #7645468

Subgroups — #7645468

Order 512.

6758 conjugacy classes of subgroups.

The subgroup lattice has 1649 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3493C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#42307C212yesmaximal, complemented
4#42306C212yesmaximal, complemented
5#42303C212yesmaximal, complemented
6#42302C212yesmaximal, complemented
7#41949C212yesmaximal, complemented
8#41948C212yesmaximal, complemented
9#41945C212yesmaximal, complemented
10#41944C212yesmaximal, complemented
11#39851C214yesmaximal, complemented
12#39850C214yesmaximal, complemented
13#39849C214yesmaximal, complemented
14#39848C214yesmaximal, complemented
15#37555C211yesmaximal, characteristic, complemented
16#37554C211yesmaximal, characteristic, complemented
17#37454C212yesmaximal, complemented
18#36742C212yesmaximal, complemented
19#36741C212yesmaximal, complemented
20#36738C214yesmaximal, complemented
21#35366C214yesmaximal, complemented
22#35326C211yesmaximal, characteristic, complemented
23#35303C211yesmaximal, characteristic, complemented
24#35144C212yesmaximal, complemented
25#35051C212yesmaximal, complemented
26#35005C212yesmaximal, complemented
27#35003C212yesmaximal, complemented
28#34964C212yesmaximal, complemented
29C2×#2343C211yesmaximal, characteristic, complemented
30#3493—216no—
31C2×#556C2212yes—
32C2×#556C2212yes—
33C2×#555C2212yes—
34C2×#555C2212yes—
35C2×#553C2212yes—
36C2×#553C2212yes—
37C2×#552C2212yes—
38C2×#552C2212yes—
39C2×#544C2211yescharacteristic
40#3455—216no—
41C2×#542C2212yes—
42C2×#542C2212yes—
43C2×#541C2212yes—
44C2×#540C2212yes—
45C2×#539C2212yes—
46C2×#539C2212yes—
47C2×#538C2212yes—
48C2×#538C2211yescharacteristic
49C2×#538C2211yescharacteristic
50C2×#538C2212yes—
51C2×#538C2212yes—
52C2×#537C2211yescharacteristic
53C2×#533C2211yescharacteristic
54C2×#532C2211yescharacteristic
55C2×#529C2212yes—
56C2×#529C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2214yes—
59C2×#529C2214yes—
60C2×#525C2212yes—
61C2×#525C2212yes—
62C2×#520C2212yes—
63C2×C4×#41C2212yes—
64C22×#117C2211yescharacteristic
65#2857C2212yes—
66#2856C2212yes—
67#2852C2214yescomplemented
68#2852C2214yescomplemented
69#2850C2212yes—
70#2850C2212yes—
71#2847C2214yes—
72#2847C2214yes—
73#2822C2212yescomplemented
74#2820C2212yescomplemented
75#2820C2212yescomplemented
76#2819C2212yescomplemented
77#2817C2212yes—
78#2816C2212yes—
79#2816C2212yes—
80#2815C2212yes—
81#2723C2214yescomplemented
82#2722C2214yes—
83#2721C2214yescomplemented
84#2720C2214yescomplemented
85#2719C2214yescomplemented
86#2716C2214yescomplemented
87#2715C2214yes—
88#2715C2214yes—
89#2714C2214yescomplemented
90#2713C2214yescomplemented
91#2712C2214yes—
92#2711C2214yescomplemented
93#2696C2214yescomplemented
94#2695C2214yes—
95#2695C2214yes—
96#2694C2214yescomplemented
97#2693C2214yes—
98#2692C2214yescomplemented
99#2691C2214yes—
100#2691C2214yes—
101#2690C2214yescomplemented
102#2677C2214yescomplemented
103#2676C2214yes—
104#2676C2214yes—
105#2676C2214yescomplemented
106#2675C2214yes—
107#2674C2214yescomplemented
108#2673C2214yescomplemented
109#2672C2214yes—
110#2672C2214yes—
111#2671C2214yes—
112#2671C2214yes—
113#2660C2211yescharacteristic, complemented
114#2660C2211yescharacteristic, complemented
115#2659C2212yes—
116#2659C2212yes—
117#2658C2211yescharacteristic, complemented
118#2657C2211yescharacteristic, complemented
119#2656C2212yes—
120#2656C2212yes—
121#2642C2211yescharacteristic, complemented
122#2641C2211yescharacteristic, complemented
123#2640C2211yescharacteristic, complemented
124#2640C2211yescharacteristic, complemented
125#2639C2212yes—
126#2639C2212yes—
127#2639C2212yes—
128#2639C2212yes—
129#2638C2212yes—
130#2638C2212yes—
131#2638C2214yes—
132#2637C2214yescomplemented
133#2636C2214yescomplemented
134#2635C2212yes—
135#2635C2212yes—
136#2635C2214yes—
137#2634C2212yescomplemented
138#2633C2212yescomplemented
139#2632C2212yescomplemented
140#2631C2212yescomplemented
141#2628C2212yescomplemented
142#2628C2212yescomplemented
143#2621C2212yescomplemented
144#2619C2212yescomplemented
145#2617C2214yes—
146#2617C2214yes—
147#2611C2212yescomplemented
148#2611C2212yescomplemented
149#2610C2212yescomplemented
150#2610C2212yescomplemented
151#2604C2214yescomplemented
152#2603C2214yescomplemented
153#2601C2214yescomplemented
154#2601C2214yescomplemented
155#2600C2214yes—
156#2600C2214yes—
157#2599C2212yescomplemented
158#2599C2212yescomplemented
159#2599C2214yescomplemented
160#2598C2212yescomplemented
161#2598C2212yescomplemented
162#2598C2214yescomplemented
163#2592C2212yescomplemented
164#2584C2212yescomplemented
165#2581C2212yescomplemented
166#2580C2212yescomplemented
167#2564C2214yes—
168#2564C2212yes—
169#2564C2212yes—
170#2564C2214yes—
171#2564C2214yes—
172#2562C2212yescomplemented
173#2559C2214yes—
174#2559C2214yes—
175#2557C2214yes—
176#2557C2214yes—
177#2555C2214yes—
178#2555C2214yes—
179#2553C2214yes—
180#2553C2214yes—
181#2543C2214yes—
182#2543C2214yes—
183#2543C2214yes—
184#2543C2212yes—
185#2543C2212yes—
186#2540C2212yescomplemented
187#2536C2212yescomplemented
188#2535C2212yescomplemented
189#2521C2214yes—
190#2521C2214yes—
191#2498C2214yes—
192#2498C2214yes—
193#2498C2212yes—
194#2498C2212yes—
195#2498C2212yes—
196#2498C2212yes—
197#2496C2214yes—
198#2491C2214yes—
199#2481C2214yescomplemented
200#2479C2214yescomplemented
201#2477C2214yescomplemented
202#2475C2214yescomplemented
203#2473C2214yescomplemented
204#2471C2214yescomplemented
205#2469C2214yescomplemented
206#2467C2214yescomplemented
207#2465C2214yescomplemented
208#2464C2214yes—
209#2464C2214yes—
210#2463C2214yescomplemented
211#2462C2214yescomplemented
212#2460C2214yescomplemented
213#2458C2214yescomplemented
214#2456C2214yescomplemented
215#2449C2214yescomplemented
216#2443C2214yescomplemented
217#2430C2214yes—
218#2430C2214yes—
219#2430C2212yes—
220#2430C2212yes—
221#2430C2212yes—
222#2430C2212yes—
223#2428C2214yes—
224#2422C2214yes—
225#2417C2214yes—
226#2417C2214yes—
227#2416C2214yes—
228#2416C2214yes—
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231#2392C2212yescomplemented
232#2392C2212yescomplemented
233#2343C2212yes—
234#2343C2212yes—
235#2343C2212yes—
236#2343C2212yes—
237#2343C2214yes—
238#2343C2214yes—
239#2328C2212yescomplemented
240#2327C2212yescomplemented
241#2326C2212yescomplemented
242#2326C2212yescomplemented
243#2325C2214yes—
244#2325C2214yes—
245#2325C2214yes—
246#2325C2214yes—
247C4×C22⋊Q8C2214yescomplemented
248C4×#121C2214yes—
249C4×#121C2214yes—
250C4×#121C2214yescomplemented
251C2×#387C2212yes—
252C2×#387C2212yes—
253C2×#385C2212yes—
254C2×#383C2211yescharacteristic
255C2×#382C2211yescharacteristic
256C2×#381C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yes—
259C2×#376C2211yescharacteristic
260C22×#95C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C24×C4C2312yes—
264C24×C4C2311yescharacteristic
265#556—216no—
266#556—216no—
267#555—216no—
268#555—216no—
269#553—216no—
270#553—216no—
271#552—216no—
272#552—216no—
273#544—28no—
274#542—216no—
275#542—216no—
276#541—216no—
277#540—216no—
278#539—216no—
279#539—216no—
280#538—216no—
281#538—216no—
282#538—216no—
283#538—28no—
284#538—28no—
285#537—28no—
286#533—28no—
287#532—28no—
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2311yescharacteristic
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2312yes—
294C2×#127C2311yescharacteristic
295C2×#127C2312yes—
296#529—232no—
297#529—232no—
298#529—216no—
299#529—28no—
300#529—28no—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333#525—216no—
334#525—216no—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#120C2312yes—
389C2×#120C2312yes—
390C2×#120C2314yes—
391#520—216no—
392C4×#41—216no—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×#117D4116yescomplemented
426C2×#117C2314yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C22⋊C4C2312yes—
446C22×C22⋊C4C2311yescharacteristic
447C22×C22⋊C4C2311yescharacteristic
448C22×C42C2314yes—
449C22×C42C2312yes—
450C22×C42C2312yes—
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453#400C2312yes—
454#400C2312yes—
455#400C2314yes—
456#400C2312yes—
457#400C2312yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#399C2312yes—
464#399C2312yes—
465#399C2314yes—
466#399C2312yes—
467#399C2314yes—
468#399C2314yes—
469#399C2312yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#395C2312yes—
510#395C2312yes—
511#395C2314yes—
512#395C2312yes—
513#395C2312yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#393C2312yes—
542#393C2312yes—
543#393C2314yes—
544#393C2312yes—
545#393C2314yes—
546#393C2312yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#392C2312yes—
552#392C2312yes—
553#392C2314yes—
554#392C2312yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#391C2314yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
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#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
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#384C2312yes—
690#384C2312yes—
691#383C2314yes—
692#383C2312yes—
693#383C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#381C2312yes—
701#381C2312yes—
702#381C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728#376C2312yes—
729#376C2312yes—
730#376C2311yescharacteristic
731#376C2311yescharacteristic
732#376C2311yescharacteristic
733#376C2311yescharacteristic
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2314yes—
737C2×#95C2312yes—
738C2×#95C2312yes—
739C2×#95C2312yes—
740C2×#95C2312yes—
741C2×#95C2311yescharacteristic
742C2×#95C2311yescharacteristic
743C2×#95C2312yes—
744C2×#95C2311yescharacteristic
745C2×#95C2311yescharacteristic
746C2×#95C2312yes—
747C25C2411yescharacteristic
748C2×#41—28no—
749C2×#41—28no—
750C2×#41—48no—
751C2×#41—48no—
752C22×Q8C2412yes—
753C22×Q8C2412yes—
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×Q8C2411yescharacteristic
758C22×Q8C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2411yescharacteristic
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C23×C4—44no—
780C23×C4—44no—
781C23×C4—44no—
782C23×C4—82no—
783C23×C4C2×D418yes—
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2412yes—
806C23×C4C2412yes—
807C4⋊Q8—28no—
808C4⋊Q8—28no—
809C4⋊Q8—24no—
810C4⋊Q8—24no—
811C4⋊Q8—24no—
812C4⋊Q8—44no—
813#127—24no—
814#127—44no—
815#126—216no—
816#126—216no—
817#126—216no—
818#126—216no—
819#126—28no—
820#126—28no—
821#126—28no—
822#126—28no—
823#126—28no—
824#126—28no—
825#126—28no—
826#126—28no—
827#125—216no—
828#125—216no—
829#125—28no—
830#125—28no—
831#125—28no—
832#125—24no—
833#125—24no—
834#125—28no—
835#124—216no—
836#124—216no—
837#124—28no—
838#124—28no—
839#124—28no—
840#124—28no—
841#124—28no—
842#124—24no—
843#124—24no—
844#124—28no—
845#124—44no—
846#124—44no—
847#123—28no—
848#123—28no—
849#123—216no—
850#123—216no—
851#123—216no—
852#123—216no—
853#123—216no—
854#123—28no—
855#123—28no—
856#123—28no—
857#123—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—216no—
868C22⋊Q8—216no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—48no—
872C22⋊Q8—84no—
873#121—28no—
874#121—28no—
875#121—28no—
876#121—28no—
877#121—28no—
878#121—24no—
879#121—24no—
880#121—28no—
881#121—28no—
882#121—28no—
883#121—28no—
884#121—216no—
885#121—216no—
886#121—28no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—48no—
891#121—48no—
892#121—48no—
893#121—48no—
894#121—48no—
895#121—48no—
896#121—48no—
897#121—84no—
898#121—84no—
899#121—84no—
900#120—28no—
901#120—28no—
902#120—216no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8—28no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×D4—216no—
913C4×D4—216no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—216no—
919C4×D4—216no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—84no—
934C4×D4—84no—
935#117—28no—
936#117—28no—
937#117—28no—
938#117—28no—
939#117—216no—
940#117—28no—
941#117—28no—
942#117—28no—
943#117—28no—
944#117C2×D4116yes—
945#117C2×D4116yes—
946#117C2×D4116yes—
947#117C2×D4116yes—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—82no—
952C2×C4⋊C4C2×D418yes—
953C2×C4⋊C4C2×D418yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4—44no—
1007C2×C22⋊C4C2×D418yes—
1008C2×C22⋊C4C2×D418yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—216no—
1067C2×C42—44no—
1068C2×C42—82no—
1069C2×C42C2×D418yes—
1070C2×C42C2×D418yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
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—
1140C24—24no—
1141C24—42no—
1142C24—41no—
1143C24—41no—
1144C24C22×D414yes—
1145C24C2514yes—
1146C24C2512yes—
1147C24C2512yes—
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—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×D4—28no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—416no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—816no—
1274C22×C4C22×D414yes—
1275C22×C4C22×D414yes—
1276C22×C4C22×D414yes—
1277C22×C4C22×D414yes—
1278C22×C4C22×D414yes—
1279C22×C4C22×D414yes—
1280C22×C4C22×D418yes—
1281C22×C4C22×D418yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4C22×D418yes—
1355C4⋊C4C22×D418yes—
1356C4⋊C4C22×D418yes—
1357C4⋊C4C22×D418yes—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
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—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4C22×D418yes—
1412C22⋊C4C22×D418yes—
1413C22⋊C4C22×D418yes—
1414C22⋊C4C22×D418yes—
1415C42—28no—
1416C42—28no—
1417C42—28no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—42no—
1427C42—42no—
1428C42—44no—
1429C42—44no—
1430C42C22×D418yes—
1431C42C22×D418yes—
1432C42C22×D414yes—
1433C42C22×D414yes—
1434C42C22×D414yes—
1435C42C22×D414yes—
1436C23—22no—
1437C23—21no—
1438C23—21no—
1439C23—24no—
1440C23—24no—
1441C23—22no—
1442C23—22no—
1443C23—28no—
1444C23—24no—
1445C23—22no—
1446C23—22no—
1447C23—24no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—22no—
1456C23—24no—
1457C23—22no—
1458C23—22no—
1459C23—24no—
1460C23—22no—
1461C23—44no—
1462C23—44no—
1463C23—48no—
1464C23—48no—
1465C23C23×D414yes—
1466C23C23×D412yes—
1467C23#58514yes—
1468C23C2611yescharacteristic
1469Q8—48no—
1470Q8—48no—
1471Q8—84no—
1472Q8—82no—
1473Q8—84no—
1474Q8—82no—
1475Q8—84no—
1476D4—48no—
1477D4—48no—
1478D4—416no—
1479D4—48no—
1480D4—48no—
1481D4—84no—
1482D4—84no—
1483D4—82no—
1484D4—82no—
1485D4—84no—
1486D4—88no—
1487D4—88no—
1488D4—84no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—88no—
1493D4—88no—
1494D4—164no—
1495D4—164no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—28no—
1511C2×C4—28no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—48no—
1557C2×C4—416no—
1558C2×C4—48no—
1559C2×C4—48no—
1560C2×C4—88no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—88no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—88no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—88no—
1571C2×C4C23×D412yes—
1572C2×C4C23×D414yes—
1573C2×C4C23×D412yes—
1574C2×C4C23×D414yes—
1575C2×C4C23×D412yes—
1576C2×C4C23×D414yes—
1577C2×C4C23×D412yes—
1578C2×C4C23×D412yes—
1579C2×C4C23×D412yes—
1580C2×C4#58514yes—
1581C22—22no—
1582C22—22no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—416no—
1589C22—44no—
1590C22—44no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—44no—
1597C22—44no—
1598C22—44no—
1599C22—44no—
1600C22—44no—
1601C22—44no—
1602C22—44no—
1603C22—44no—
1604C22—44no—
1605C22—44no—
1606C22—42no—
1607C22—42no—
1608C22#344914yes—
1609C22C24×D411yescharacteristic
1610C22C2×#58512yes—
1611C22C2×#58512yes—
1612C22H(7,𝔽2)11yescharacteristic
1613C222−1+611yescharacteristic
1614C4—24no—
1615C4—22no—
1616C4—22no—
1617C4—24no—
1618C4—22no—
1619C4—22no—
1620C4—24no—
1621C4—22no—
1622C4—24no—
1623C4—22no—
1624C4—44no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—44no—
1630C4—42no—
1631C4—44no—
1632C4—44no—
1633C4—42no—
1634C4—42no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C2—24no—
1639C2—44no—
1640C2—84no—
1641C2—82no—
1642C2—82no—
1643C2C2×#344911yescharacteristic
1644C2#6281211yescharacteristic
1645C2#6285311yescharacteristic
1646C2#6293312yes—
1647C2#6293412yes—
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×#3493C2semidirect
2. C2×#3455C2semidirect
3. #42307C2semidirect
4. #42306C2semidirect
5. #42303C2semidirect
6. #42302C2semidirect
7. #41949C2semidirect
8. #41948C2semidirect
9. #41945C2semidirect
10. #41944C2semidirect
11. #39851C2semidirect
12. #39850C2semidirect
13. #39849C2semidirect
14. #39848C2semidirect
15. #37555C2semidirect
16. #37554C2semidirect
17. #37454C2semidirect
18. #36742C2semidirect
19. #36741C2semidirect
20. #36738C2semidirect
21. #35366C2semidirect
22. #35326C2semidirect
23. #35303C2semidirect
24. #35144C2semidirect
25. #35051C2semidirect
26. #35005C2semidirect
27. #35003C2semidirect
28. #34964C2semidirect
29. C2×#2343C2semidirect
67. #2852C22semidirect
68. #2852C22semidirect
73. #2822C22semidirect
74. #2820C22semidirect
75. #2820C22semidirect
76. #2819C22semidirect
81. #2723C22semidirect
83. #2721C22semidirect
84. #2720C22semidirect
85. #2719C22semidirect
86. #2716C22semidirect
89. #2714C22semidirect
90. #2713C22semidirect
92. #2711C22semidirect
93. #2696C22semidirect
96. #2694C22semidirect
98. #2692C22semidirect
101. #2690C22semidirect
102. #2677C22semidirect
105. #2676C22semidirect
107. #2674C22semidirect
108. #2673C22semidirect
113. #2660C22semidirect
114. #2660C22semidirect
117. #2658C22semidirect
118. #2657C22semidirect
121. #2642C22semidirect
122. #2641C22semidirect
123. #2640C22semidirect
124. #2640C22semidirect
132. #2637C22semidirect
133. #2636C22semidirect
137. #2634C22semidirect
138. #2633C22semidirect
139. #2632C22semidirect
140. #2631C22semidirect
141. #2628C22semidirect
142. #2628C22semidirect
143. #2621C22semidirect
144. #2619C22semidirect
147. #2611C22semidirect
148. #2611C22semidirect
149. #2610C22semidirect
150. #2610C22semidirect
151. #2604C22semidirect
152. #2603C22semidirect
153. #2601C22semidirect
154. #2601C22semidirect
157. #2599C22semidirect
158. #2599C22semidirect
159. #2599C22semidirect
160. #2598C22semidirect
161. #2598C22semidirect
162. #2598C22semidirect
163. #2592C22semidirect
164. #2584C22semidirect
165. #2581C22semidirect
166. #2580C22semidirect
172. #2562C22semidirect
186. #2540C22semidirect
187. #2536C22semidirect
188. #2535C22semidirect
199. #2481C22semidirect
200. #2479C22semidirect
201. #2477C22semidirect
202. #2475C22semidirect
203. #2473C22semidirect
204. #2471C22semidirect
205. #2469C22semidirect
206. #2467C22semidirect
207. #2465C22semidirect
210. #2463C22semidirect
211. #2462C22semidirect
212. #2460C22semidirect
213. #2458C22semidirect
214. #2456C22semidirect
215. #2449C22semidirect
216. #2443C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
239. #2328C22semidirect
240. #2327C22semidirect
241. #2326C22semidirect
242. #2326C22semidirect
247. C4×C22⋊Q8C22semidirect
250. C4×#121C22semidirect
425. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34932
C2×#34552
#423072
#423062
#423032
#423022
#419492
#419482
#419452
#419442
#398512
#398502
#398492
#398482
#375552
#375542
#374542
#367422
#367412
#367382
#353662
#353262
#353032
#351442
#350512
#350052
#350032
#349642
C2×#23432