Finite Group Databasebeta

← #7658396

Subgroups — #7658396

Order 512.

6470 conjugacy classes of subgroups.

The subgroup lattice has 1849 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3516C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#42891C211yesmaximal, characteristic, complemented
4#42887C211yesmaximal, characteristic, complemented
5#42814C211yesmaximal, characteristic, complemented
6#42810C211yesmaximal, characteristic, complemented
7#42803C212yesmaximal, complemented
8#42798C212yesmaximal, complemented
9#42796C212yesmaximal, complemented
10#42786C212yesmaximal, complemented
11#42301C214yesmaximal, complemented
12#42174C212yesmaximal, complemented
13#42171C212yesmaximal, complemented
14#41992C212yesmaximal, complemented
15#41987C212yesmaximal, complemented
16#41943C214yesmaximal, complemented
17#40527C214yesmaximal, complemented
18#40526C214yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37621C211yesmaximal, characteristic, complemented
21#37558C212yesmaximal, complemented
22#37553C212yesmaximal, complemented
23#37545C211yesmaximal, characteristic, complemented
24#37543C212yesmaximal, complemented
25#36687C211yesmaximal, characteristic, complemented
26#36684C212yesmaximal, complemented
27#36065C211yesmaximal, characteristic, complemented
28#36048C211yesmaximal, characteristic, complemented
29#35926C211yesmaximal, characteristic, complemented
30#35909C211yesmaximal, characteristic, complemented
31#35832C212yesmaximal, complemented
32#35772C212yesmaximal, complemented
33#35752C212yesmaximal, complemented
34#35688C212yesmaximal, complemented
35#34196C211yesmaximal, characteristic, complemented
36#3516—216no—
37#3507—216no—
38C2×#559C2212yes—
39C2×#557C2212yes—
40C2×#557C2211yescharacteristic
41C2×#556C2212yes—
42C2×#556C2214yes—
43C2×#556C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#554C2212yes—
49C2×#554C2211yescharacteristic
50C2×#553C2212yes—
51C2×#553C2211yescharacteristic
52C2×#552C2212yes—
53C2×#552C2212yes—
54C2×#552C2212yes—
55C2×#552C2211yescharacteristic
56C2×D4×Q8C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2212yes—
61C2×#541C2211yescharacteristic
62C2×#541C2212yes—
63C2×#539C2214yes—
64C2×#536C2212yes—
65C2×#533C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2212yes—
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic
73C2×#520C2212yes—
74C2×#520C2211yescharacteristic
75C2×#519C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2823C2214yes—
78#2823C2214yes—
79#2822C2212yes—
80#2821C2211yescharacteristic
81#2821C2211yescharacteristic
82#2820C2212yes—
83#2820C2212yes—
84#2820C2212yes—
85#2819C2212yes—
86#2819C2212yes—
87#2818C2211yescharacteristic
88#2818C2211yescharacteristic
89#2816C2212yes—
90#2815C2212yes—
91#2814C2212yes—
92#2814C2212yes—
93#2814C2214yes—
94#2814C2212yes—
95#2814C2212yes—
96#2813C2214yes—
97#2813C2211yescharacteristic
98#2813C2212yes—
99#2813C2211yescharacteristic
100#2813C2211yescharacteristic
101#2813C2211yescharacteristic
102#2813C2212yes—
103#2734C2214yes—
104#2733C2214yes—
105#2731C2214yes—
106#2731C2214yes—
107#2730C2214yes—
108#2730C2214yes—
109#2729C2214yes—
110#2729C2214yes—
111#2726C2214yes—
112#2725C2214yes—
113#2723C2214yes—
114#2721C2214yes—
115#2716C2214yes—
116#2714C2214yes—
117#2707C2214yes—
118#2707C2214yes—
119#2705C2214yes—
120#2704C2214yes—
121#2692C2214yes—
122#2690C2214yes—
123#2682C2214yes—
124#2681C2214yes—
125#2677C2214yes—
126#2676C2214yes—
127#2664C2214yes—
128#2664C2212yes—
129#2664C2212yes—
130#2663C2214yes—
131#2662C2212yes—
132#2662C2212yes—
133#2662C2214yes—
134#2662C2214yes—
135#2661C2214yes—
136#2660C2211yescharacteristic
137#2660C2211yescharacteristic
138#2640C2211yescharacteristic
139#2640C2211yescharacteristic
140#2638C2214yes—
141#2638C2214yes—
142#2637C2212yes—
143#2637C2212yes—
144#2637C2214yes—
145#2637C2214yes—
146#2636C2214yes—
147#2635C2214yes—
148#2634C2212yes—
149#2634C2212yes—
150#2633C2212yes—
151#2633C2212yes—
152#2632C2212yes—
153#2632C2212yes—
154#2631C2212yes—
155#2631C2212yes—
156#2630C2214yes—
157#2630C2214yes—
158#2629C2212yes—
159#2629C2212yes—
160#2629C2214yes—
161#2628C2212yes—
162#2621C2212yes—
163#2620C2212yes—
164#2620C2214yes—
165#2619C2212yes—
166#2616C2212yes—
167#2615C2212yes—
168#2611C2212yes—
169#2611C2212yes—
170#2610C2212yes—
171#2610C2212yes—
172#2609C2214yes—
173#2609C2214yes—
174#2604C2212yes—
175#2604C2212yes—
176#2603C2212yes—
177#2603C2212yes—
178#2602C2214yes—
179#2602C2214yes—
180#2601C2214yes—
181#2601C2214yes—
182#2601C2214yes—
183#2601C2214yes—
184#2600C2214yes—
185#2600C2214yes—
186#2599C2212yes—
187#2599C2212yes—
188#2581C2212yes—
189#2580C2212yes—
190#2567C2211yescharacteristic
191#2566C2212yes—
192#2565C2212yes—
193#2565C2212yes—
194#2563C2211yescharacteristic
195#2562C2211yescharacteristic
196#2562C2211yescharacteristic
197#2560C2214yes—
198#2560C2214yes—
199#2556C2214yes—
200#2554C2214yes—
201#2547C2211yescharacteristic
202#2546C2211yescharacteristic
203#2545C2212yes—
204#2540C2211yescharacteristic
205#2540C2211yescharacteristic
206#2538C2212yes—
207#2538C2212yes—
208#2538C2212yes—
209#2537C2212yes—
210#2536C2212yes—
211#2536C2212yes—
212#2536C2212yes—
213#2535C2212yes—
214#2519C2214yes—
215#2512C2214yes—
216#2500C2212yes—
217#2499C2212yes—
218#2485C2212yes—
219#2485C2212yes—
220#2475C2214yes—
221#2473C2214yes—
222#2471C2214yes—
223#2469C2214yes—
224#2467C2214yes—
225#2465C2214yes—
226#2463C2214yes—
227#2462C2214yes—
228#2462C2214yes—
229#2461C2214yes—
230#2460C2214yes—
231#2460C2214yes—
232#2458C2214yes—
233#2458C2214yes—
234#2456C2214yes—
235#2456C2214yes—
236#2452C2214yes—
237#2443C2214yes—
238#2442C2212yes—
239#2441C2212yes—
240#2440C2212yes—
241#2439C2212yes—
242#2429C2212yes—
243#2429C2212yes—
244#2426C2212yes—
245#2426C2212yes—
246#2423C2212yes—
247#2423C2212yes—
248#2421C2212yes—
249#2421C2212yes—
250#2417C2212yes—
251#2416C2212yes—
252#2415C2212yes—
253#2415C2214yes—
254#2414C2212yes—
255#2414C2214yes—
256#2414C2214yes—
257#2409C2212yes—
258#2409C2212yes—
259#2407C2212yes—
260#2407C2212yes—
261#2398C2211yescharacteristic
262#2398C2211yescharacteristic
263#2397C2211yescharacteristic
264#2397C2211yescharacteristic
265#2396C2214yes—
266#2396C2212yes—
267#2396C2212yes—
268#2392C2212yes—
269#2392C2212yes—
270#2392C2212yes—
271#2392C2212yes—
272#2392C2214yes—
273#2392C2214yes—
274#2392C2214yes—
275#2388C2212yes—
276#2388C2212yes—
277#2363C2212yes—
278#2362C2212yes—
279#2361C2212yes—
280#2360C2212yes—
281#2355C2214yes—
282#2355C2212yes—
283#2354C2212yes—
284#2352C2212yes—
285#2352C2212yes—
286Q8×C4⋊C4C2212yes—
287D4×C4⋊C4C2212yes—
288#2344C2214yes—
289#2344C2212yes—
290Q8×C22⋊C4C2212yes—
291#2320C2212yes—
292#2320C2212yes—
293#2320C2211yescharacteristic
294#2320C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2212yes—
297#2283C2211yescharacteristic
298#2283C2212yes—
299#2276C2211yescharacteristic
300#2276C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305#559—216no—
306#557—216no—
307#557—28no—
308#556—28no—
309#556—28no—
310#556—232no—
311#556—28no—
312#556—216no—
313#554—28no—
314#554—28no—
315#554—28no—
316#554—216no—
317#553—28no—
318#553—216no—
319#552—216no—
320#552—216no—
321#552—28no—
322#552—216no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#542—28no—
327#542—216no—
328#541—28no—
329#541—216no—
330#539—232no—
331#536—216no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×#127C2311yescharacteristic
344#529—216no—
345#529—216no—
346#529—216no—
347#529—216no—
348#529—28no—
349#529—28no—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2311yescharacteristic
353C2×#126C2311yescharacteristic
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2312yes—
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2314yes—
386C2×#124C2311yescharacteristic
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2311yescharacteristic
392C2×#123C2311yescharacteristic
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436#520—28no—
437#520—216no—
438#519—28no—
439C2×C4×Q8D4116yescomplemented
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512#400C2312yes—
513#400C2312yes—
514#400C2311yescharacteristic
515#400C2311yescharacteristic
516#400C2311yescharacteristic
517#400C2311yescharacteristic
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#399C2312yes—
522#399C2312yes—
523#399C2311yescharacteristic
524#399C2312yes—
525#399C2314yes—
526#399C2311yescharacteristic
527#399C2311yescharacteristic
528#399C2311yescharacteristic
529#399C2312yes—
530#399C2314yes—
531#399C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2312yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2312yes—
543#398C2312yes—
544#398C2314yes—
545#398C2314yes—
546#398C2312yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#397C2312yes—
555#397C2314yes—
556#397C2312yes—
557#397C2312yes—
558#397C2314yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#396C2312yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2314yes—
599#395C2312yes—
600#395C2312yes—
601#395C2314yes—
602#395C2314yes—
603#395C2314yes—
604#395C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2311yescharacteristic
616#394C2312yes—
617#394C2312yes—
618#394C2311yescharacteristic
619#394C2311yescharacteristic
620#394C2311yescharacteristic
621#394C2312yes—
622#394C2314yes—
623#394C2314yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#393C2312yes—
642#393C2314yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2314yes—
650#393C2312yes—
651#393C2314yes—
652#393C2314yes—
653#393C2314yes—
654#392C2311yescharacteristic
655#392C2312yes—
656#392C2312yes—
657#392C2311yescharacteristic
658#392C2311yescharacteristic
659#392C2312yes—
660#392C2312yes—
661#392C2311yescharacteristic
662#392C2312yes—
663#392C2314yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2314yes—
668#392C2312yes—
669#392C2314yes—
670#392C2312yes—
671#392C2314yes—
672#392C2312yes—
673#392C2314yes—
674#392C2314yes—
675#392C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2314yes—
684#391C2314yes—
685#391C2314yes—
686#390C2314yes—
687#390C2314yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#390C2314yes—
698#390C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2314yes—
713#389C2312yes—
714#389C2312yes—
715#389C2314yes—
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#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
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#387C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#384C2312yes—
789#384C2312yes—
790#384C2312yes—
791#384C2314yes—
792#384C2312yes—
793#383C2311yescharacteristic
794#383C2311yescharacteristic
795#383C2312yes—
796#383C2312yes—
797#382C2312yes—
798#382C2312yes—
799#382C2312yes—
800#382C2312yes—
801#382C2312yes—
802#382C2312yes—
803#382C2312yes—
804#382C2314yes—
805#381C2312yes—
806#381C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#380C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847#376C2312yes—
848#376C2312yes—
849#376C2311yescharacteristic
850#376C2311yescharacteristic
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C22×Q8—24no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8C2×D418yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C4⋊Q8—216no—
906C4⋊Q8—24no—
907C4⋊Q8—28no—
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—24no—
911C4⋊Q8—24no—
912C4⋊Q8—24no—
913C4⋊Q8—82no—
914#127—24no—
915#126—216no—
916#126—216no—
917#126—28no—
918#126—28no—
919#126—28no—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—24no—
925#126—216no—
926#126—216no—
927#126—28no—
928#126—24no—
929#125—216no—
930#125—216no—
931#125—28no—
932#125—28no—
933#125—28no—
934#125—24no—
935#125—28no—
936#125—28no—
937#125—24no—
938#125—24no—
939#125—28no—
940#125—28no—
941#125—28no—
942#125—28no—
943#124—216no—
944#124—24no—
945#124—28no—
946#124—28no—
947#124—24no—
948#124—24no—
949#124—28no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—82no—
954#123—24no—
955#123—24no—
956#123—28no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—28no—
962#123—28no—
963#123—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8—84no—
988#121—24no—
989#121—24no—
990#121—24no—
991#121—28no—
992#121—28no—
993#121—24no—
994#121—28no—
995#121—24no—
996#121—28no—
997#121—44no—
998#121—44no—
999#121—84no—
1000#121—84no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—216no—
1006C4×Q8—28no—
1007C4×Q8—24no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—24no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—44no—
1015C4×Q8—44no—
1016C4×Q8C2×D418yes—
1017C4×Q8C2×D418yes—
1018C4×Q8C2×D4116yes—
1019C4×Q8C2×D418yes—
1020C4×Q8C2×D418yes—
1021C4×Q8C2×D4116yes—
1022C4×D4—216no—
1023C4×D4—216no—
1024C4×D4—24no—
1025C4×D4—28no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—84no—
1048C4×D4—84no—
1049#117—28no—
1050#117—24no—
1051#117—28no—
1052#117—28no—
1053#117—28no—
1054#117—28no—
1055#117—24no—
1056#117—28no—
1057#117—24no—
1058#117—216no—
1059#117—28no—
1060#117—28no—
1061#117—28no—
1062#117—216no—
1063#117—84no—
1064#117—82no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—24no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4C2×D418yes—
1070C2×C4⋊C4C2×D4116yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C42C2×D4116yes—
1215C2×C42C2×D418yes—
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2412yes—
1245#95C2411yescharacteristic
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291C24C2512yes—
1292C24C2512yes—
1293C24C2511yescharacteristic
1294C24C2511yescharacteristic
1295C24C2512yes—
1296C24C2511yescharacteristic
1297#41—432no—
1298#41—416no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—44no—
1310C2×Q8—44no—
1311C2×Q8—44no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—41no—
1317C2×Q8—42no—
1318C2×Q8—41no—
1319C2×Q8—42no—
1320C2×Q8—416no—
1321C2×Q8—416no—
1322C2×Q8C22×D414yes—
1323C2×Q8C22×D414yes—
1324C2×Q8C22×D418yes—
1325C2×D4—22no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—41no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—41no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—28no—
1392C22×C4—24no—
1393C22×C4—42no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—41no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4C22×D414yes—
1412C22×C4C22×D414yes—
1413C22×C4C22×D418yes—
1414C22×C4C22×D414yes—
1415C22×C4C22×D418yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2514yes—
1422C22×C4C2514yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4C22×D414yes—
1513C4⋊C4C22×D414yes—
1514C4⋊C4C22×D418yes—
1515C4⋊C4C22×D418yes—
1516C4⋊C4C22×D418yes—
1517C4⋊C4C22×D418yes—
1518C4⋊C4C22×D418yes—
1519C22⋊C4—28no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—22no—
1530C22⋊C4—24no—
1531C22⋊C4—22no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—22no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—22no—
1552C22⋊C4—24no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C42—28no—
1589C42—28no—
1590C42—24no—
1591C42—24no—
1592C42—24no—
1593C42—24no—
1594C42—22no—
1595C42—28no—
1596C42—24no—
1597C42—22no—
1598C42—24no—
1599C42—24no—
1600C42—44no—
1601C42—44no—
1602C42—42no—
1603C42—42no—
1604C42—44no—
1605C42—44no—
1606C42C22×D418yes—
1607C42C22×D414yes—
1608C42C22×D418yes—
1609C42C22×D414yes—
1610C42C22×D418yes—
1611C42C22×D414yes—
1612C42C22×D418yes—
1613C42C22×D414yes—
1614C23—22no—
1615C23—21no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—21no—
1621C23—22no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—24no—
1628C23—22no—
1629C23—22no—
1630C23—21no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—24no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—21no—
1647C23C23×D412yes—
1648C23C2611yescharacteristic
1649Q8—28no—
1650Q8—28no—
1651Q8—48no—
1652Q8—48no—
1653Q8—48no—
1654Q8—48no—
1655Q8—44no—
1656Q8—84no—
1657Q8—84no—
1658Q8—82no—
1659D4—44no—
1660D4—44no—
1661D4—48no—
1662D4—48no—
1663D4—44no—
1664D4—48no—
1665D4—44no—
1666D4—48no—
1667D4—48no—
1668D4—48no—
1669D4—44no—
1670D4—84no—
1671D4—84no—
1672D4—82no—
1673D4—88no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—164no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—28no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—44no—
1746C2×C4—48no—
1747C2×C4—48no—
1748C2×C4—48no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—48no—
1752C2×C4—48no—
1753C2×C4—84no—
1754C2×C4—88no—
1755C2×C4—84no—
1756C2×C4—84no—
1757C2×C4—88no—
1758C2×C4C23×D414yes—
1759C2×C4C23×D412yes—
1760C2×C4C23×D414yes—
1761C2×C4C23×D414yes—
1762C2×C4C23×D412yes—
1763C2×C4C23×D412yes—
1764C2×C4C23×D412yes—
1765C2×C4C23×D414yes—
1766C2×C4C23×D412yes—
1767C2×C4C23×D412yes—
1768C2×C4#58514yes—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—44no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—41no—
1791C22—42no—
1792C22—41no—
1793C22—41no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—41no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22C24×D411yescharacteristic
1804C22C2×#58512yes—
1805C22H(7,𝔽2)11yescharacteristic
1806C222−1+612yes—
1807C222−1+611yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—24no—
1811C4—22no—
1812C4—24no—
1813C4—22no—
1814C4—22no—
1815C4—24no—
1816C4—24no—
1817C4—42no—
1818C4—42no—
1819C4—44no—
1820C4—44no—
1821C4—42no—
1822C4—42no—
1823C4—41no—
1824C4—42no—
1825C4—41no—
1826C4—44no—
1827C4—42no—
1828C4—44no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—41no—
1835C4—42no—
1836C4#344914yes—
1837C2—42no—
1838C2—81no—
1839C2—82no—
1840C2—82no—
1841C2—82no—
1842C2—81no—
1843C2C2×#344911yescharacteristic
1844C2#6284811yescharacteristic
1845C2#6285311yescharacteristic
1846C2#6304312yes—
1847C2#6305312yes—
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×#3516C2semidirect
2. C2×#3507C2semidirect
3. #42891C2semidirect
4. #42887C2semidirect
5. #42814C2semidirect
6. #42810C2semidirect
7. #42803C2semidirect
8. #42798C2semidirect
9. #42796C2semidirect
10. #42786C2semidirect
11. #42301C2semidirect
12. #42174C2semidirect
13. #42171C2semidirect
14. #41992C2semidirect
15. #41987C2semidirect
16. #41943C2semidirect
17. #40527C2semidirect
18. #40526C2semidirect
19. #37633C2semidirect
20. #37621C2semidirect
21. #37558C2semidirect
22. #37553C2semidirect
23. #37545C2semidirect
24. #37543C2semidirect
25. #36687C2semidirect
26. #36684C2semidirect
27. #36065C2semidirect
28. #36048C2semidirect
29. #35926C2semidirect
30. #35909C2semidirect
31. #35832C2semidirect
32. #35772C2semidirect
33. #35752C2semidirect
34. #35688C2semidirect
35. #34196C2semidirect
439. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35162
C2×#35072
#428912
#428872
#428142
#428102
#428032
#427982
#427962
#427862
#423012
#421742
#421712
#419922
#419872
#419432
#405272
#405262
#376332
#376212
#375582
#375532
#375452
#375432
#366872
#366842
#360652
#360482
#359262
#359092
#358322
#357722
#357522
#356882
#341962