Finite Group Databasebeta

← #7681053

Subgroups — #7681053

Order 512.

6988 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic
2C2×#3461C211yesmaximal, characteristic, complemented
3#59119C212yesmaximal, complemented
4#59114C212yesmaximal, complemented
5#59113C212yesmaximal, complemented
6#59063C214yesmaximal, complemented
7#59061C214yesmaximal, complemented
8#59031C212yesmaximal, complemented
9#45326C212yesmaximal, complemented
10#45177C212yesmaximal, complemented
11#44890C212yesmaximal, complemented
12#44875C212yesmaximal, complemented
13#43027C214yesmaximal, complemented
14#43004C214yesmaximal, complemented
15#39350C212yesmaximal, complemented
16#39347C212yesmaximal, complemented
17#37796C212yesmaximal, complemented
18#37795C212yesmaximal, complemented
19#37794C212yesmaximal, complemented
20#37793C212yesmaximal, complemented
21#36139C212yesmaximal, complemented
22#36133C212yesmaximal, complemented
23#35621C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35576C211yesmaximal, characteristic, complemented
26#35575C211yesmaximal, characteristic, complemented
27#35308C211yesmaximal, characteristic, complemented
28#35307C211yesmaximal, characteristic, complemented
29#35255C211yesmaximal, characteristic, complemented
30#34744C211yesmaximal, characteristic, complemented
31C2×#2451C211yesmaximal, characteristic, complemented
32#34267C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34#34250C211yesmaximal, characteristic, complemented
35C4⋊C4×#41C211yesmaximal, characteristic, complemented
36#3511—216no—
37C2×#556C2212yes—
38C2×#555C2212yes—
39C2×#554C2212yes—
40C2×#553C2214yes—
41C2×#548C2214yes—
42C2×#547C2212yes—
43#3461—216no—
44C2×#544C2211yescharacteristic
45C2×#542C2212yes—
46C2×#542C2212yes—
47C2×#542C2212yes—
48C2×#542C2212yes—
49C2×#541C2212yes—
50C2×#541C2212yes—
51C2×#539C2214yes—
52C2×#537C2211yescharacteristic
53C2×#537C2211yescharacteristic
54C2×#536C2211yescharacteristic
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#533C2212yes—
58C2×#533C2212yes—
59C2×#533C2212yes—
60C2×#532C2211yescharacteristic
61C2×#532C2212yes—
62C22×C4⋊Q8C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2212yes—
65C2×#529C2214yes—
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C22×C4×Q8C2211yescharacteristic
74#2857C2212yes—
75#2855C2212yes—
76#2855C2212yes—
77#2855C2212yes—
78#2854C2212yes—
79#2850C2212yes—
80#2726C2214yes—
81#2725C2214yes—
82#2724C2214yes—
83#2722C2214yes—
84#2721C2214yes—
85#2720C2214yes—
86#2720C2214yes—
87#2719C2214yes—
88#2717C2214yes—
89#2717C2214yes—
90#2717C2214yes—
91#2715C2214yes—
92#2715C2214yes—
93#2701C2214yes—
94#2698C2214yes—
95#2698C2214yes—
96#2698C2214yes—
97#2695C2214yes—
98#2689C2214yes—
99#2689C2214yes—
100#2686C2214yes—
101#2680C2214yes—
102#2674C2214yes—
103#2674C2214yes—
104#2625C2212yes—
105#2625C2212yes—
106#2625C2212yes—
107#2624C2212yes—
108#2621C2212yes—
109#2620C2212yes—
110#2583C2214yes—
111#2564C2214yes—
112#2553C2214yes—
113#2551C2212yes—
114#2551C2212yes—
115#2551C2212yes—
116#2551C2212yes—
117#2550C2212yes—
118#2550C2212yes—
119#2550C2212yes—
120#2550C2212yes—
121#2547C2212yes—
122#2547C2214yes—
123#2546C2212yes—
124#2545C2212yes—
125#2544C2212yes—
126#2521C2214yes—
127#2521C2214yes—
128#2519C2214yes—
129#2506C2214yes—
130#2503C2212yes—
131#2502C2212yes—
132#2499C2212yes—
133#2499C2212yes—
134#2496C2214yes—
135#2489C2214yes—
136#2486C2214yes—
137#2478C2214yes—
138#2478C2214yes—
139#2478C2214yes—
140#2474C2214yes—
141#2474C2214yes—
142#2470C2214yes—
143#2469C2214yes—
144#2468C2214yes—
145#2466C2214yes—
146#2462C2214yes—
147#2462C2214yes—
148#2462C2214yes—
149#2454C2212yes—
150#2453C2214yes—
151#2453C2212yes—
152#2452C2212yes—
153#2451C2212yes—
154#2451C2212yes—
155#2451C2212yes—
156#2451C2212yes—
157#2451C2212yes—
158#2451C2212yes—
159#2451C2212yes—
160#2451C2212yes—
161#2451C2212yes—
162#2449C2214yes—
163#2448C2211yescharacteristic
164#2448C2211yescharacteristic
165#2447C2212yes—
166#2447C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2447C2211yescharacteristic
170#2447C2214yes—
171#2447C2211yescharacteristic
172#2446C2212yes—
173#2446C2212yes—
174#2446C2212yes—
175#2446C2211yescharacteristic
176#2446C2212yes—
177#2446C2211yescharacteristic
178#2445C2211yescharacteristic
179#2445C2211yescharacteristic
180#2444C2212yes—
181#2444C2212yes—
182#2444C2214yes—
183#2443C2214yes—
184#2443C2214yes—
185#2443C2212yes—
186#2443C2212yes—
187#2442C2212yes—
188#2441C2212yes—
189#2440C2214yes—
190#2440C2212yes—
191#2440C2214yes—
192#2439C2212yes—
193#2438C2214yes—
194#2438C2214yes—
195#2438C2214yes—
196#2434C2214yes—
197#2432C2214yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2214yes—
201#2427C2212yes—
202#2427C2212yes—
203#2425C2214yes—
204#2425C2214yes—
205#2425C2214yes—
206#2425C2214yes—
207#2425C2214yes—
208#2423C2212yes—
209#2422C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2419C2214yes—
213#2419C2214yes—
214#2419C2214yes—
215#2419C2214yes—
216#2419C2214yes—
217#2417C2212yes—
218#2417C2214yes—
219#2417C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2406C2214yes—
223#2406C2214yes—
224#2395C2212yes—
225#2395C2212yes—
226C2×#398C2212yes—
227C2×#395C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2365C2212yes—
231#2365C2214yes—
232#2365C2212yes—
233#2364C2214yes—
234#2363C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2361C2214yes—
239#2361C2212yes—
240#2360C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2359C2214yes—
244#2351C2211yescharacteristic
245#2351C2211yescharacteristic
246#2351C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250#2349C2212yes—
251#2349C2212yes—
252#2349C2211yescharacteristic
253#2349C2211yescharacteristic
254#2349C2212yes—
255#2349C2214yes—
256D4×C4⋊C4C2214yes—
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2212yes—
261D4×C4⋊C4C2212yes—
262#2344C2214yes—
263#2339C2214yes—
264#2324C2212yes—
265#2323C2212yes—
266#2322C2214yes—
267#2317C2211yescharacteristic
268#2317C2212yes—
269#2317C2211yescharacteristic
270#2316C2212yes—
271#2316C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2310C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#123C2214yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2212yes—
285#2296C2212yes—
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2212yes—
289C2×#391C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#391C2212yes—
292C2×#389C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#389C2212yes—
295C2×#387C2212yes—
296#2285C2211yescharacteristic
297#2285C2212yes—
298#2274C2211yescharacteristic
299C2×C4×C4⋊C4C2212yes—
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2312yes—
307#556—216no—
308#555—216no—
309#554—216no—
310#553—232no—
311#548—232no—
312#547—216no—
313#544—28no—
314#542—216no—
315#542—216no—
316#542—216no—
317#542—216no—
318#541—216no—
319#541—216no—
320#539—232no—
321#537—28no—
322#537D4116yes—
323#536—28no—
324#536—28no—
325#536—28no—
326#533—216no—
327#533—216no—
328#533—216no—
329#532—28no—
330#532—216no—
331C2×C4⋊Q8—28no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2314yes—
344C2×#127C2311yescharacteristic
345#529—232no—
346#529—216no—
347#529—216no—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2314yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#125C2314yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2314yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405#520—28no—
406#520—28no—
407#520—28no—
408C4×#41—28no—
409C4×#41—28no—
410C4×#41—28no—
411C4×#41—28no—
412C2×C4×Q8—28no—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2314yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2312yes—
461C2×#117C2311yescharacteristic
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2314yes—
466C2×#117C2314yes—
467C2×#117C2314yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2314yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2311yescharacteristic
487C22×C42C2312yes—
488C22×C42C2312yes—
489C22×C42C2312yes—
490C22×C42C2311yescharacteristic
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2312yes—
500#400C2312yes—
501#400C2314yes—
502#400C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2312yes—
506#399C2312yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2312yes—
519#398C2312yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#393C2314yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2314yes—
584#391C2314yes—
585#391C2311yescharacteristic
586#391C2312yes—
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2314yes—
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2314yes—
598#391C2314yes—
599#391C2314yes—
600#391C2314yes—
601#391C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2314yes—
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2312yes—
706#387C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2314yes—
756#385C2312yes—
757#384C2312yes—
758#384C2314yes—
759#384C2312yes—
760#384C2312yes—
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2312yes—
764#382C2312yes—
765#382C2314yes—
766#382C2312yes—
767#382C2311yescharacteristic
768#382C2311yescharacteristic
769#382C2312yes—
770#382C2312yes—
771#381C2314yes—
772#381C2314yes—
773#381C2314yes—
774#381C2314yes—
775#381C2314yes—
776#381C2314yes—
777#381C2312yes—
778#381C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C2×#95C2312yes—
838C2×#95C2312yes—
839C2×#95C2314yes—
840C2×#95C2311yescharacteristic
841C2×#95C2312yes—
842C2×#95C2311yescharacteristic
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#41—216no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—48no—
857C2×#41—84no—
858C2×#41C2×D418yes—
859C2×#41C2×D418yes—
860C22×Q8—24no—
861C22×Q8—28no—
862C22×Q8—24no—
863C22×Q8—24no—
864C22×Q8—44no—
865C22×Q8—82no—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2414yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2414yes—
873C22×Q8C2414yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2414yes—
883C22×D4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C4⋊Q8—24no—
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—28no—
919C4⋊Q8—48no—
920C4⋊Q8—84no—
921#127—24no—
922#126—216no—
923#126—216no—
924#126—216no—
925#126—216no—
926#126—216no—
927#126—216no—
928#125—216no—
929#125—28no—
930#125—28no—
931#125—216no—
932#125—216no—
933#125—216no—
934#124—24no—
935#124—28no—
936#124—28no—
937#124—216no—
938#124—24no—
939#124—216no—
940#124—216no—
941#124—216no—
942#124—28no—
943#123—216no—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—28no—
949#123—216no—
950#123—216no—
951#123—44no—
952#123—84no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—216no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—84no—
968C22⋊Q8C2×D4116yes—
969C22⋊Q8C2×D4116yes—
970#121—28no—
971#121—28no—
972#121—216no—
973#121—28no—
974#121—216no—
975#121—28no—
976#121C2×D4116yes—
977#121C2×D4132yes—
978#121C2×D4116yes—
979C4×Q8—24no—
980C4×Q8—24no—
981C4×Q8—24no—
982C4×Q8—24no—
983C4×Q8—24no—
984C4×Q8—24no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—216no—
992C4×Q8—216no—
993C4×Q8—24no—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—216no—
1010C4×D4—216no—
1011C4×D4—216no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—28no—
1022C4×D4—84no—
1023#117—24no—
1024#117—24no—
1025#117—24no—
1026#117—28no—
1027#117—28no—
1028#117—28no—
1029#117—28no—
1030#117—24no—
1031#117—28no—
1032#117—28no—
1033#117—216no—
1034#117—216no—
1035#117—216no—
1036#117—28no—
1037#117#4118yescomplemented
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4—24no—
1040C2×C4⋊C4—28no—
1041C2×C4⋊C4—28no—
1042C2×C4⋊C4—24no—
1043C2×C4⋊C4—28no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4—28no—
1046C2×C4⋊C4—24no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4—44no—
1049C2×C4⋊C4—84no—
1050C2×C4⋊C4—82no—
1051C2×C4⋊C4—82no—
1052C2×C4⋊C4C2×D418yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C42—24no—
1178C2×C42—28no—
1179C2×C42—28no—
1180C2×C42—28no—
1181C2×C42—24no—
1182C2×C42—28no—
1183C2×C42—24no—
1184C2×C42—28no—
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2414yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2414yes—
1192C2×C42C2414yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2414yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216C2×C42C2412yes—
1217#95C2412yes—
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2411yescharacteristic
1224#95C2412yes—
1225#95C2411yescharacteristic
1226#95C2412yes—
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2412yes—
1230#95C2412yes—
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281C24C2512yes—
1282C24C2512yes—
1283C24C2512yes—
1284C24C2511yescharacteristic
1285#41—232no—
1286#41—232no—
1287#41—416no—
1288#41—832no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—22no—
1292C2×Q8—28no—
1293C2×Q8—28no—
1294C2×Q8—28no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—28no—
1306C2×Q8—44no—
1307C2×Q8—44no—
1308C2×Q8—44no—
1309C2×Q8—44no—
1310C2×Q8—44no—
1311C2×Q8—416no—
1312C2×Q8—816no—
1313C2×Q8C22×D414yes—
1314C2×Q8C22×D414yes—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—28no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4C22×D418yes—
1341C2×D4C22×D418yes—
1342C2×D4C22×D414yes—
1343C2×D4C22×D414yes—
1344C2×D4C22×D4116yes—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—28no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—28no—
1381C22×C4—24no—
1382C22×C4—28no—
1383C22×C4—42no—
1384C22×C4—41no—
1385C22×C4—42no—
1386C22×C4—41no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—41no—
1393C22×C4—42no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—41no—
1397C22×C4—42no—
1398C22×C4—41no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—41no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4C22×D418yes—
1415C22×C4C22×D418yes—
1416C22×C4C22×D418yes—
1417C22×C4C22×D414yes—
1418C22×C4C2×#4114yes—
1419C22×C42−1+414yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2514yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2514yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—42no—
1502C4⋊C4—41no—
1503C4⋊C4—42no—
1504C4⋊C4—41no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D4116yes—
1526C4⋊C4C2×#4114yes—
1527C4⋊C4C2×#4114yes—
1528C4⋊C42−1+414yes—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4C22×D4116yes—
1573C22⋊C4C22×D4116yes—
1574C22⋊C4C2×#4118yes—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—24no—
1579C42—24no—
1580C42—24no—
1581C42—28no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—24no—
1586C42—24no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—24no—
1591C42—24no—
1592C42—24no—
1593C42—28no—
1594C42—28no—
1595C42—28no—
1596C42—22no—
1597C42—22no—
1598C42—24no—
1599C42—22no—
1600C42—24no—
1601C42—22no—
1602C42—28no—
1603C42—24no—
1604C42—44no—
1605C42—44no—
1606C42C2×#4118yes—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23C23×D414yes—
1631C23C23×D414yes—
1632C23C23×D412yes—
1633C23C22×#4112yes—
1634C23C2×2−1+412yes—
1635C23C2611yescharacteristic
1636Q8—28no—
1637Q8—28no—
1638Q8—416no—
1639Q8—48no—
1640Q8—48no—
1641Q8—44no—
1642Q8—88no—
1643Q8—88no—
1644D4—216no—
1645D4—216no—
1646D4—28no—
1647D4—28no—
1648D4—416no—
1649D4—48no—
1650D4—48no—
1651D4—48no—
1652D4—44no—
1653D4—88no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—216no—
1673C2×C4—216no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—48no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—48no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—48no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—88no—
1747C2×C4—84no—
1748C2×C4—88no—
1749C2×C4—82no—
1750C2×C4—84no—
1751C2×C4—84no—
1752C2×C4—82no—
1753C2×C4—84no—
1754C2×C4—84no—
1755C2×C4—88no—
1756C2×C4#547116yes—
1757C2×C4C23×D414yes—
1758C2×C4C23×D414yes—
1759C2×C4C23×D418yes—
1760C2×C4C23×D412yes—
1761C2×C4C23×D412yes—
1762C2×C4C22×#4114yes—
1763C2×C4C22×#4114yes—
1764C2×C4C22×#4112yes—
1765C2×C4C22×#4112yes—
1766C2×C4C2×2−1+412yes—
1767C2×C4C2×2−1+412yes—
1768C2×C4C2×2−1+412yes—
1769C2×C4C2×2−1+412yes—
1770C2×C4C2×2−1+412yes—
1771C2×C4#58512yes—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—24no—
1779C22—24no—
1780C22—24no—
1781C22—24no—
1782C22—24no—
1783C22—24no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22C2×#54714yes—
1800C22C24×D411yescharacteristic
1801C22C23×#4111yescharacteristic
1802C22C22×2−1+411yescharacteristic
1803C22C22×2−1+411yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22H(7,𝔽2)11yescharacteristic
1806C222−1+611yescharacteristic
1807C4—22no—
1808C4—28no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—24no—
1813C4—24no—
1814C4—24no—
1815C4—24no—
1816C4—42no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—44no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—41no—
1826C4—42no—
1827C4—42no—
1828C4—41no—
1829C4—41no—
1830C4—44no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—42no—
1836C4C2×#54714yes—
1837C4C2×#54714yes—
1838C2—24no—
1839C2—44no—
1840C2—44no—
1841C2—82no—
1842C2C22×#54711yescharacteristic
1843C2#6280511yescharacteristic
1844C2#6285711yescharacteristic
1845C2#6294311yescharacteristic
1846C2#6295611yescharacteristic
1847C2#6298711yescharacteristic
1848C2D4×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3511C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#3461C2semidirect
3. #59119C2semidirect
4. #59114C2semidirect
5. #59113C2semidirect
6. #59063C2semidirect
7. #59061C2semidirect
8. #59031C2semidirect
9. #45326C2semidirect
10. #45177C2semidirect
11. #44890C2semidirect
12. #44875C2semidirect
13. #43027C2semidirect
14. #43004C2semidirect
15. #39350C2semidirect
16. #39347C2semidirect
17. #37796C2semidirect
18. #37795C2semidirect
19. #37794C2semidirect
20. #37793C2semidirect
21. #36139C2semidirect
22. #36133C2semidirect
23. #35621C2semidirect
24. #35619C2semidirect
25. #35576C2semidirect
26. #35575C2semidirect
27. #35308C2semidirect
28. #35307C2semidirect
29. #35255C2semidirect
30. #34744C2semidirect
31. C2×#2451C2semidirect
32. #34267C2semidirect
33. #34266C2semidirect
34. #34250C2semidirect
35. C4⋊C4×#41C2semidirect
1037. #117#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#34612
#591192
#591142
#591132
#590632
#590612
#590312
#453262
#451772
#448902
#448752
#430272
#430042
#393502
#393472
#377962
#377952
#377942
#377932
#361392
#361332
#356212
#356192
#355762
#355752
#353082
#353072
#352552
#347442
C2×#24512
#342672
#342662
#342502
C4⋊C4×#412