Finite Group Databasebeta

← #7658547

Subgroups — #7658547

Order 512.

6322 conjugacy classes of subgroups.

The subgroup lattice has 1805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3516C211yesmaximal, characteristic, complemented
3#42879C211yesmaximal, characteristic, complemented
4#42875C211yesmaximal, characteristic, complemented
5#42807C212yesmaximal, complemented
6#42806C212yesmaximal, complemented
7#42801C212yesmaximal, complemented
8#42800C212yesmaximal, complemented
9#42792C211yesmaximal, characteristic, complemented
10#42788C211yesmaximal, characteristic, complemented
11#42313C212yesmaximal, complemented
12#42312C212yesmaximal, complemented
13#42301C214yesmaximal, complemented
14#42300C214yesmaximal, complemented
15#42154C212yesmaximal, complemented
16#42153C212yesmaximal, complemented
17#41417C214yesmaximal, complemented
18#41416C214yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37622C211yesmaximal, characteristic, complemented
21#37558C212yesmaximal, complemented
22#37553C211yesmaximal, characteristic, complemented
23#37545C212yesmaximal, complemented
24#37543C212yesmaximal, complemented
25#36699C212yesmaximal, complemented
26#36684C211yesmaximal, characteristic, complemented
27#36030C211yesmaximal, characteristic, complemented
28#36019C211yesmaximal, characteristic, complemented
29#36015C212yesmaximal, complemented
30#35832C212yesmaximal, complemented
31#35817C212yesmaximal, complemented
32#35773C212yesmaximal, complemented
33#35749C211yesmaximal, characteristic, complemented
34#35712C211yesmaximal, characteristic, complemented
35#34187C211yesmaximal, characteristic, complemented
36#3523—216no—
37#3516—216no—
38C2×#557C2211yescharacteristic
39C2×#557C2212yes—
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#556C2212yes—
45C2×#556C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#554C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2212yes—
50C2×#552C2212yes—
51C2×#552C2211yescharacteristic
52C2×#552C2212yes—
53C2×#552C2214yes—
54C2×D4×Q8C2211yescharacteristic
55C2×D4×Q8C2212yes—
56C2×D4×Q8C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2212yes—
61C2×#541C2211yescharacteristic
62C2×#541C2212yes—
63C2×#541C2214yes—
64C2×#541C2212yes—
65C2×#533C2211yescharacteristic
66C2×#533C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#520C2211yescharacteristic
74C2×#519C2211yescharacteristic
75C2×#519C2212yes—
76C22×C4×Q8C2211yescharacteristic
77#2823C2212yes—
78#2823C2212yes—
79#2822C2214yes—
80#2822C2211yescharacteristic
81#2821C2212yes—
82#2821C2212yes—
83#2821C2212yes—
84#2821C2212yes—
85#2820C2214yes—
86#2820C2211yescharacteristic
87#2820C2211yescharacteristic
88#2819C2211yescharacteristic
89#2817C2214yes—
90#2816C2214yes—
91#2814C2212yes—
92#2814C2212yes—
93#2814C2211yescharacteristic
94#2814C2211yescharacteristic
95#2814C2212yes—
96#2814C2212yes—
97#2814C2212yes—
98#2814C2212yes—
99#2813C2211yescharacteristic
100#2813C2211yescharacteristic
101#2813C2212yes—
102#2813C2212yes—
103#2734C2214yes—
104#2732C2214yes—
105#2731C2214yes—
106#2730C2214yes—
107#2729C2214yes—
108#2729C2214yes—
109#2729C2214yes—
110#2728C2214yes—
111#2723C2214yes—
112#2723C2214yes—
113#2721C2214yes—
114#2721C2214yes—
115#2720C2214yes—
116#2720C2214yes—
117#2719C2214yes—
118#2719C2214yes—
119#2716C2214yes—
120#2714C2214yes—
121#2713C2214yes—
122#2711C2214yes—
123#2696C2214yes—
124#2694C2214yes—
125#2692C2214yes—
126#2690C2214yes—
127#2664C2214yes—
128#2664C2212yes—
129#2664C2212yes—
130#2664C2212yes—
131#2663C2214yes—
132#2662C2214yes—
133#2662C2212yes—
134#2661C2214yes—
135#2660C2212yes—
136#2660C2212yes—
137#2640C2212yes—
138#2640C2212yes—
139#2638C2214yes—
140#2638C2214yes—
141#2638C2214yes—
142#2637C2212yes—
143#2637C2212yes—
144#2637C2214yes—
145#2637C2214yes—
146#2637C2214yes—
147#2636C2214yes—
148#2635C2214yes—
149#2634C2212yes—
150#2634C2212yes—
151#2633C2212yes—
152#2633C2212yes—
153#2632C2212yes—
154#2632C2212yes—
155#2631C2212yes—
156#2631C2212yes—
157#2630C2214yes—
158#2629C2214yes—
159#2629C2212yes—
160#2628C2211yescharacteristic
161#2628C2211yescharacteristic
162#2625C2212yes—
163#2624C2212yes—
164#2621C2212yes—
165#2621C2211yescharacteristic
166#2621C2211yescharacteristic
167#2620C2212yes—
168#2620C2212yes—
169#2611C2212yes—
170#2611C2212yes—
171#2610C2212yes—
172#2610C2212yes—
173#2609C2214yes—
174#2609C2214yes—
175#2604C2212yes—
176#2604C2212yes—
177#2603C2212yes—
178#2603C2212yes—
179#2602C2214yes—
180#2602C2214yes—
181#2601C2214yes—
182#2601C2214yes—
183#2601C2214yes—
184#2600C2214yes—
185#2600C2214yes—
186#2599C2212yes—
187#2599C2212yes—
188#2599C2212yes—
189#2599C2212yes—
190#2592C2212yes—
191#2584C2212yes—
192#2582C2212yes—
193#2581C2211yescharacteristic
194#2580C2211yescharacteristic
195#2567C2211yescharacteristic
196#2566C2214yes—
197#2565C2212yes—
198#2565C2214yes—
199#2563C2211yescharacteristic
200#2560C2214yes—
201#2558C2214yes—
202#2556C2214yes—
203#2554C2214yes—
204#2552C2212yes—
205#2550C2212yes—
206#2547C2211yescharacteristic
207#2546C2211yescharacteristic
208#2545C2212yes—
209#2542C2212yes—
210#2540C2212yes—
211#2538C2212yes—
212#2536C2211yescharacteristic
213#2535C2211yescharacteristic
214#2519C2214yes—
215#2519C2214yes—
216#2512C2214yes—
217#2506C2214yes—
218#2500C2214yes—
219#2499C2214yes—
220#2492C2212yes—
221#2490C2212yes—
222#2489C2212yes—
223#2489C2212yes—
224#2485C2214yes—
225#2481C2214yes—
226#2479C2214yes—
227#2479C2214yes—
228#2477C2214yes—
229#2475C2214yes—
230#2475C2214yes—
231#2473C2214yes—
232#2471C2214yes—
233#2469C2214yes—
234#2469C2214yes—
235#2467C2214yes—
236#2465C2214yes—
237#2462C2214yes—
238#2462C2214yes—
239#2460C2214yes—
240#2458C2214yes—
241#2448C2212yes—
242#2446C2212yes—
243#2446C2212yes—
244#2446C2212yes—
245#2436C2212yes—
246#2434C2212yes—
247#2434C2212yes—
248#2432C2212yes—
249#2423C2212yes—
250#2423C2212yes—
251#2421C2212yes—
252#2421C2212yes—
253#2415C2212yes—
254#2415C2212yes—
255#2415C2212yes—
256#2414C2212yes—
257#2409C2212yes—
258#2409C2212yes—
259#2409C2212yes—
260#2407C2212yes—
261#2399C2212yes—
262#2399C2212yes—
263#2398C2212yes—
264#2398C2212yes—
265#2396C2212yes—
266#2396C2214yes—
267#2396C2214yes—
268#2396C2211yescharacteristic
269#2396C2211yescharacteristic
270#2395C2214yes—
271#2395C2214yes—
272#2392C2211yescharacteristic
273#2392C2211yescharacteristic
274#2392C2212yes—
275#2392C2212yes—
276#2392C2212yes—
277#2367C2212yes—
278#2365C2212yes—
279#2363C2212yes—
280#2362C2212yes—
281#2362C2212yes—
282#2360C2212yes—
283#2356C2211yescharacteristic
284#2356C2211yescharacteristic
285#2356C2212yes—
286#2356C2212yes—
287#2356C2211yescharacteristic
288#2356C2211yescharacteristic
289#2355C2212yes—
290#2355C2214yes—
291#2355C2212yes—
292#2354C2212yes—
293#2352C2212yes—
294#2313C2214yes—
295#2310C2212yes—
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298#2283C2212yes—
299#2283C2212yes—
300#2274C2212yes—
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2312yes—
304C23×Q8C2311yescharacteristic
305#557—28no—
306#557—28no—
307#557—28no—
308#557—216no—
309#556—28no—
310#556—216no—
311#556—28no—
312#556—216no—
313#554—28no—
314#554—216no—
315#553—28no—
316#553—216no—
317#552—28no—
318#552—216no—
319#552—216no—
320#552—232no—
321D4×Q8—28no—
322D4×Q8—216no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#542—28no—
327#542—216no—
328#541—28no—
329#541—216no—
330#541—216no—
331#541—232no—
332#533—28no—
333#533—216no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345#529—28no—
346#529—216no—
347#529—28no—
348#529—216no—
349#529—28no—
350#529—216no—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2311yescharacteristic
356C2×#126C2311yescharacteristic
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#125C2314yes—
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#125C2311yescharacteristic
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2314yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2314yes—
379C2×#125C2314yes—
380C2×#125C2312yes—
381C2×#125C2314yes—
382C2×#125C2312yes—
383C2×#125C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2311yescharacteristic
389C2×#124C2312yes—
390C2×#124C2311yescharacteristic
391C2×#124C2312yes—
392C2×#124C2312yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×#123C2311yescharacteristic
396C2×#123C2312yes—
397C2×#123C2311yescharacteristic
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433#520—28no—
434#519—28no—
435#519—216no—
436C2×C4×Q8D4116yescomplemented
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2314yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2314yes—
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C42C2312yes—
502C22×C42C2311yescharacteristic
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#400C2314yes—
508#400C2314yes—
509#400C2311yescharacteristic
510#400C2311yescharacteristic
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2314yes—
516#400C2314yes—
517#399C2314yes—
518#399C2314yes—
519#399C2314yes—
520#399C2314yes—
521#399C2311yescharacteristic
522#399C2311yescharacteristic
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2314yes—
528#399C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2311yescharacteristic
538#398C2314yes—
539#398C2314yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2314yes—
547#398C2311yescharacteristic
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#397C2314yes—
562#397C2312yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2311yescharacteristic
567#397C2314yes—
568#397C2311yescharacteristic
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2314yes—
576#397C2314yes—
577#397C2312yes—
578#397C2312yes—
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#397C2312yes—
584#396C2312yes—
585#396C2314yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2314yes—
591#396C2314yes—
592#396C2312yes—
593#396C2314yes—
594#396C2314yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#395C2314yes—
607#395C2314yes—
608#395C2314yes—
609#395C2314yes—
610#395C2311yescharacteristic
611#395C2311yescharacteristic
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2314yes—
619#395C2314yes—
620#395C2314yes—
621#395C2314yes—
622#394C2312yes—
623#394C2312yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2312yes—
630#394C2311yescharacteristic
631#394C2311yescharacteristic
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2312yes—
642#394C2314yes—
643#394C2312yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2312yes—
648#393C2314yes—
649#393C2314yes—
650#393C2314yes—
651#393C2312yes—
652#393C2312yes—
653#393C2311yescharacteristic
654#393C2311yescharacteristic
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2314yes—
660#393C2314yes—
661#393C2314yes—
662#392C2311yescharacteristic
663#392C2311yescharacteristic
664#392C2312yes—
665#392C2312yes—
666#392C2314yes—
667#392C2312yes—
668#392C2312yes—
669#392C2314yes—
670#392C2314yes—
671#391C2314yes—
672#391C2312yes—
673#391C2312yes—
674#391C2314yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2314yes—
680#391C2314yes—
681#391C2312yes—
682#391C2312yes—
683#391C2314yes—
684#391C2312yes—
685#391C2312yes—
686#390C2314yes—
687#390C2312yes—
688#390C2314yes—
689#390C2314yes—
690#390C2312yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#390C2314yes—
695#390C2314yes—
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2314yes—
700#389C2312yes—
701#389C2312yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
762#387C2314yes—
763#387C2314yes—
764#387C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#384C2312yes—
788#384C2314yes—
789#384C2314yes—
790#384C2312yes—
791#384C2312yes—
792#383C2312yes—
793#383C2312yes—
794#383C2312yes—
795#383C2312yes—
796#382C2312yes—
797#382C2311yescharacteristic
798#382C2311yescharacteristic
799#382C2314yes—
800#382C2314yes—
801#382C2314yes—
802#382C2311yescharacteristic
803#382C2311yescharacteristic
804#382C2314yes—
805#381C2314yes—
806#381C2314yes—
807#380C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2311yescharacteristic
816#380C2311yescharacteristic
817#380C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847#376C2312yes—
848#376C2312yes—
849#376C2312yes—
850#376C2312yes—
851C2×#41—24no—
852C2×#41—42no—
853C2×#41—42no—
854C22×Q8—24no—
855C22×Q8—28no—
856C22×Q8—42no—
857C22×Q8—42no—
858C22×Q8—44no—
859C22×Q8—42no—
860C22×Q8—44no—
861C22×Q8—42no—
862C22×Q8C2×D418yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—24no—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—216no—
904C4⋊Q8—24no—
905C4⋊Q8—28no—
906C4⋊Q8—24no—
907C4⋊Q8—28no—
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—44no—
911#126—216no—
912#126—216no—
913#126—216no—
914#126—28no—
915#126—28no—
916#126—28no—
917#126—28no—
918#126—216no—
919#126—28no—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—24no—
924#126—28no—
925#126—24no—
926#125—28no—
927#125—28no—
928#125—28no—
929#125—216no—
930#125—216no—
931#125—216no—
932#125—28no—
933#125—216no—
934#125—24no—
935#125—28no—
936#125—28no—
937#125—24no—
938#125—24no—
939#125—28no—
940#125—28no—
941#125—24no—
942#125—28no—
943#125—216no—
944#124—24no—
945#124—28no—
946#124—28no—
947#124—24no—
948#124—24no—
949#124—28no—
950#124—28no—
951#124—24no—
952#124—44no—
953#123—24no—
954#123—28no—
955#123—24no—
956#123—216no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—216no—
975C22⋊Q8—24no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985#121—24no—
986#121—24no—
987#121—28no—
988#121—24no—
989#121—28no—
990#121—24no—
991#121—28no—
992#121—44no—
993C4×Q8—24no—
994C4×Q8—28no—
995C4×Q8—24no—
996C4×Q8—28no—
997C4×Q8—216no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—24no—
1001C4×Q8—28no—
1002C4×Q8—216no—
1003C4×Q8—28no—
1004C4×Q8—24no—
1005C4×Q8—28no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8C2×D418yes—
1012C4×Q8C2×D418yes—
1013C4×Q8C2×D418yes—
1014C4×Q8C2×D4116yes—
1015C4×Q8C2×D418yes—
1016C4×Q8C2×D4116yes—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—44no—
1035C4×D4—44no—
1036#117—28no—
1037#117—216no—
1038#117—24no—
1039#117—28no—
1040#117—28no—
1041#117—216no—
1042#117—216no—
1043#117—28no—
1044#117—24no—
1045#117—28no—
1046#117—24no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051#117—44no—
1052#117—44no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4C2×D418yes—
1056C2×C4⋊C4C2×D4116yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C42C2×D4116yes—
1201C2×C42C2×D418yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2414yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2412yes—
1231#95C2411yescharacteristic
1232#95C2412yes—
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285C24C2512yes—
1286C24C2511yescharacteristic
1287C24C2511yescharacteristic
1288C24C2512yes—
1289C24C2511yescharacteristic
1290#41—416no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—22no—
1295C2×Q8—28no—
1296C2×Q8—24no—
1297C2×Q8—22no—
1298C2×Q8—24no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—42no—
1308C2×Q8—42no—
1309C2×Q8—42no—
1310C2×Q8—42no—
1311C2×Q8—44no—
1312C2×Q8—44no—
1313C2×Q8—42no—
1314C2×Q8—44no—
1315C2×Q8—44no—
1316C2×Q8—42no—
1317C2×Q8—416no—
1318C2×Q8—432no—
1319C2×Q8—416no—
1320C2×Q8C22×D414yes—
1321C2×Q8C22×D414yes—
1322C2×Q8C22×D418yes—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4C22×D414yes—
1385C22×C4C22×D414yes—
1386C22×C4C22×D418yes—
1387C22×C4C22×D414yes—
1388C22×C4C22×D418yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2514yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4C22×D414yes—
1495C4⋊C4C22×D418yes—
1496C4⋊C4C22×D418yes—
1497C4⋊C4C22×D414yes—
1498C4⋊C4C22×D418yes—
1499C4⋊C4C22×D418yes—
1500C4⋊C4C22×D418yes—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—22no—
1504C22⋊C4—24no—
1505C22⋊C4—22no—
1506C22⋊C4—24no—
1507C22⋊C4—22no—
1508C22⋊C4—24no—
1509C22⋊C4—22no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—22no—
1514C22⋊C4—24no—
1515C22⋊C4—22no—
1516C22⋊C4—24no—
1517C22⋊C4—22no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—22no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—28no—
1566C42—28no—
1567C42—28no—
1568C42—24no—
1569C42—22no—
1570C42—24no—
1571C42—22no—
1572C42—28no—
1573C42—24no—
1574C42—24no—
1575C42—24no—
1576C42—44no—
1577C42—44no—
1578C42—44no—
1579C42—44no—
1580C42—44no—
1581C42C22×D418yes—
1582C42C22×D414yes—
1583C42C22×D418yes—
1584C42C22×D414yes—
1585C42C22×D414yes—
1586C42C22×D418yes—
1587C42C22×D418yes—
1588C42C22×D414yes—
1589C23—21no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—22no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—24no—
1610C23—22no—
1611C23—24no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23C23×D412yes—
1616C23C2611yescharacteristic
1617Q8—28no—
1618Q8—28no—
1619Q8—48no—
1620Q8—44no—
1621Q8—48no—
1622Q8—48no—
1623Q8—416no—
1624Q8—44no—
1625Q8—48no—
1626Q8—84no—
1627Q8—82no—
1628D4—44no—
1629D4—48no—
1630D4—44no—
1631D4—48no—
1632D4—44no—
1633D4—48no—
1634D4—44no—
1635D4—84no—
1636D4—82no—
1637D4—84no—
1638D4—84no—
1639D4—164no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—28no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—44no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—416no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—44no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4C23×D414yes—
1721C2×C4C23×D412yes—
1722C2×C4C23×D412yes—
1723C2×C4C23×D414yes—
1724C2×C4C23×D414yes—
1725C2×C4C23×D412yes—
1726C2×C4C23×D412yes—
1727C2×C4C23×D412yes—
1728C2×C4C23×D414yes—
1729C2×C4C23×D412yes—
1730C2×C4#58512yes—
1731C2×C4#58512yes—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—44no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—41no—
1749C22—41no—
1750C22—42no—
1751C22—41no—
1752C22—42no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—41no—
1757C22—42no—
1758C22—41no—
1759C22C24×D411yescharacteristic
1760C22C2×#58511yescharacteristic
1761C22C2×#58511yescharacteristic
1762C222−1+612yes—
1763C222−1+612yes—
1764C4—22no—
1765C4—22no—
1766C4—24no—
1767C4—22no—
1768C4—24no—
1769C4—22no—
1770C4—22no—
1771C4—24no—
1772C4—24no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—44no—
1778C4—44no—
1779C4—41no—
1780C4—42no—
1781C4—41no—
1782C4—42no—
1783C4—44no—
1784C4—42no—
1785C4—41no—
1786C4—42no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4—44no—
1793C4#344914yes—
1794C2—42no—
1795C2—82no—
1796C2—81no—
1797C2—81no—
1798C2—82no—
1799C2C2×#344911yescharacteristic
1800C2#6284811yescharacteristic
1801C2#6285911yescharacteristic
1802C2#6305312yes—
1803C2#6306212yes—
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×#3523C2semidirect
2. C2×#3516C2semidirect
3. #42879C2semidirect
4. #42875C2semidirect
5. #42807C2semidirect
6. #42806C2semidirect
7. #42801C2semidirect
8. #42800C2semidirect
9. #42792C2semidirect
10. #42788C2semidirect
11. #42313C2semidirect
12. #42312C2semidirect
13. #42301C2semidirect
14. #42300C2semidirect
15. #42154C2semidirect
16. #42153C2semidirect
17. #41417C2semidirect
18. #41416C2semidirect
19. #37633C2semidirect
20. #37622C2semidirect
21. #37558C2semidirect
22. #37553C2semidirect
23. #37545C2semidirect
24. #37543C2semidirect
25. #36699C2semidirect
26. #36684C2semidirect
27. #36030C2semidirect
28. #36019C2semidirect
29. #36015C2semidirect
30. #35832C2semidirect
31. #35817C2semidirect
32. #35773C2semidirect
33. #35749C2semidirect
34. #35712C2semidirect
35. #34187C2semidirect
436. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#35162
#428792
#428752
#428072
#428062
#428012
#428002
#427922
#427882
#423132
#423122
#423012
#423002
#421542
#421532
#414172
#414162
#376332
#376222
#375582
#375532
#375452
#375432
#366992
#366842
#360302
#360192
#360152
#358322
#358172
#357732
#357492
#357122
#341872