Finite Group Databasebeta

← #7657780

Subgroups — #7657780

Order 512.

6560 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3493C211yesmaximal, characteristic, complemented
3#42915C211yesmaximal, characteristic, complemented
4#42914C211yesmaximal, characteristic, complemented
5#42911C211yesmaximal, characteristic, complemented
6#42910C211yesmaximal, characteristic, complemented
7#42644C212yesmaximal, complemented
8#42643C212yesmaximal, complemented
9#42391C212yesmaximal, complemented
10#42315C212yesmaximal, complemented
11#42156C212yesmaximal, complemented
12#41959C212yesmaximal, complemented
13#40525C214yesmaximal, complemented
14#40520C214yesmaximal, complemented
15#39963C212yesmaximal, complemented
16#39959C212yesmaximal, complemented
17#38439C214yesmaximal, complemented
18#38436C214yesmaximal, complemented
19#37558C212yesmaximal, complemented
20#37551C212yesmaximal, complemented
21#37445C211yesmaximal, characteristic, complemented
22#37438C211yesmaximal, characteristic, complemented
23#36272C212yesmaximal, complemented
24#36269C212yesmaximal, complemented
25#36007C211yesmaximal, characteristic, complemented
26#35985C211yesmaximal, characteristic, complemented
27#35759C211yesmaximal, characteristic, complemented
28#35724C212yesmaximal, complemented
29#35689C211yesmaximal, characteristic, complemented
30#35688C212yesmaximal, complemented
31#35201C212yesmaximal, complemented
32#35085C211yesmaximal, characteristic, complemented
33#34643C212yesmaximal, complemented
34#34575C211yesmaximal, characteristic, complemented
35#34109C211yesmaximal, characteristic, complemented
36#3495—216no—
37#3493—216no—
38C2×#556C2212yes—
39C2×#556C2212yes—
40C2×#556C2211yescharacteristic
41C2×#556C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#555C2212yes—
44C2×#555C2211yescharacteristic
45C2×#554C2212yes—
46C2×#553C2211yescharacteristic
47C2×#553C2212yes—
48C2×#553C2211yescharacteristic
49C2×#552C2211yescharacteristic
50C2×#552C2212yes—
51C2×#552C2214yes—
52C2×#552C2211yescharacteristic
53C2×#552C2212yes—
54C2×#552C2212yes—
55C2×#551C2214yes—
56C2×#544C2211yescharacteristic
57C2×#544C2211yescharacteristic
58C2×#542C2212yes—
59C2×#541C2212yes—
60C2×#538C2212yes—
61C2×#538C2212yes—
62C2×#537C2211yescharacteristic
63C2×#536C2211yescharacteristic
64C2×#533C2212yes—
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C22×C22⋊Q8C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×#520C2211yescharacteristic
75C2×#519C2211yescharacteristic
76C22×#117C2211yescharacteristic
77#2861C2214yescomplemented
78#2859C2214yescomplemented
79#2857C2212yes—
80#2850C2212yes—
81#2821C2212yescomplemented
82#2821C2212yescomplemented
83#2821C2212yescomplemented
84#2821C2212yescomplemented
85#2817C2212yes—
86#2816C2212yes—
87#2814C2214yes—
88#2813C2214yes—
89#2812C2214yes—
90#2723C2214yescomplemented
91#2722C2214yes—
92#2721C2214yescomplemented
93#2720C2214yescomplemented
94#2719C2214yescomplemented
95#2718C2214yes—
96#2716C2214yescomplemented
97#2715C2214yes—
98#2715C2214yes—
99#2714C2214yescomplemented
100#2713C2214yescomplemented
101#2712C2214yes—
102#2711C2214yescomplemented
103#2710C2214yes—
104#2706C2214yes—
105#2703C2214yes—
106#2700C2214yes—
107#2698C2214yes—
108#2695C2214yes—
109#2691C2214yes—
110#2681C2214yes—
111#2680C2214yes—
112#2676C2214yes—
113#2672C2214yes—
114#2664C2214yescomplemented
115#2664C2212yescomplemented
116#2664C2212yescomplemented
117#2663C2212yes—
118#2663C2212yes—
119#2663C2212yes—
120#2663C2211yescharacteristic
121#2663C2211yescharacteristic
122#2663C2212yes—
123#2663C2212yes—
124#2663C2212yes—
125#2663C2214yes—
126#2662C2214yescomplemented
127#2662C2212yescomplemented
128#2662C2212yescomplemented
129#2661C2212yes—
130#2661C2211yescharacteristic
131#2661C2211yescharacteristic
132#2661C2212yes—
133#2661C2214yes—
134#2659C2211yescharacteristic
135#2656C2211yescharacteristic
136#2639C2211yescharacteristic
137#2639C2211yescharacteristic
138#2638C2212yes—
139#2638C2214yes—
140#2638C2214yes—
141#2637C2212yescomplemented
142#2637C2212yescomplemented
143#2636C2212yescomplemented
144#2636C2212yescomplemented
145#2635C2212yes—
146#2634C2212yescomplemented
147#2633C2212yescomplemented
148#2632C2212yescomplemented
149#2631C2212yescomplemented
150#2625C2212yes—
151#2625C2211yescharacteristic
152#2625C2214yes—
153#2624C2211yescharacteristic
154#2624C2214yes—
155#2622C2212yes—
156#2622C2212yes—
157#2617C2212yes—
158#2617C2212yes—
159#2616C2212yes—
160#2616C2211yescharacteristic
161#2615C2211yescharacteristic
162#2611C2214yescomplemented
163#2611C2214yescomplemented
164#2611C2214yescomplemented
165#2610C2214yescomplemented
166#2604C2212yescomplemented
167#2604C2212yescomplemented
168#2604C2212yescomplemented
169#2604C2212yescomplemented
170#2602C2214yes—
171#2601C2214yescomplemented
172#2601C2214yescomplemented
173#2600C2214yes—
174#2600C2214yes—
175#2592C2214yescomplemented
176#2591C2212yes—
177#2584C2214yescomplemented
178#2583C2212yes—
179#2581C2212yescomplemented
180#2581C2212yescomplemented
181#2580C2212yescomplemented
182#2580C2212yescomplemented
183#2568C2212yescomplemented
184#2567C2212yescomplemented
185#2564C2212yes—
186#2564C2212yes—
187#2563C2212yescomplemented
188#2559C2214yes—
189#2557C2214yes—
190#2553C2214yes—
191#2553C2214yes—
192#2552C2212yescomplemented
193#2550C2212yescomplemented
194#2542C2212yescomplemented
195#2542C2212yescomplemented
196#2540C2212yescomplemented
197#2521C2214yes—
198#2503C2211yescharacteristic
199#2501C2211yescharacteristic
200#2500C2214yes—
201#2499C2212yes—
202#2499C2214yes—
203#2496C2214yes—
204#2492C2212yescomplemented
205#2490C2212yescomplemented
206#2489C2212yescomplemented
207#2489C2212yescomplemented
208#2487C2211yescharacteristic
209#2487C2211yescharacteristic
210#2485C2212yes—
211#2478C2214yes—
212#2477C2214yescomplemented
213#2476C2214yes—
214#2475C2214yescomplemented
215#2474C2214yes—
216#2473C2214yescomplemented
217#2470C2214yes—
218#2466C2214yes—
219#2465C2214yescomplemented
220#2464C2214yes—
221#2463C2214yescomplemented
222#2462C2214yescomplemented
223#2460C2214yescomplemented
224#2459C2214yes—
225#2456C2214yes—
226#2455C2214yes—
227#2453C2212yescomplemented
228#2452C2212yescomplemented
229#2451C2212yescomplemented
230#2451C2212yescomplemented
231#2449C2214yescomplemented
232#2441C2212yescomplemented
233#2440C2212yescomplemented
234#2439C2212yescomplemented
235#2439C2212yescomplemented
236#2436C2211yescharacteristic
237#2434C2211yescharacteristic
238#2432C2212yes—
239#2429C2212yescomplemented
240#2429C2212yescomplemented
241#2427C2212yescomplemented
242#2426C2212yescomplemented
243#2422C2214yes—
244#2417C2212yescomplemented
245#2415C2212yes—
246#2415C2212yes—
247#2415C2212yes—
248#2415C2214yes—
249#2415C2214yes—
250#2415C2212yescomplemented
251#2415C2212yescomplemented
252#2414C2212yes—
253#2414C2212yescomplemented
254#2412C2214yes—
255#2409C2211yescharacteristic
256#2409C2211yescharacteristic
257#2407C2212yes—
258#2399C2212yescomplemented
259#2398C2212yescomplemented
260#2398C2212yescomplemented
261#2397C2212yescomplemented
262#2395C2212yes—
263#2395C2211yescharacteristic
264#2395C2211yescharacteristic
265#2392C2214yes—
266#2392C2214yes—
267#2388C2212yes—
268#2388C2211yescharacteristic
269#2388C2211yescharacteristic
270#2367C2212yescomplemented
271#2365C2212yescomplemented
272#2362C2212yescomplemented
273#2361C2212yescomplemented
274#2360C2212yescomplemented
275#2360C2212yescomplemented
276#2352C2212yescomplemented
277D4×C4⋊C4C2212yescomplemented
278#2347C2211yescharacteristic
279#2347C2211yescharacteristic
280#2346C2211yescharacteristic
281#2346C2211yescharacteristic
282#2345C2212yes—
283#2344C2212yes—
284#2343C2212yes—
285#2343C2212yes—
286#2342C2214yes—
287#2323C2214yescomplemented
288#2323C2214yescomplemented
289#2322C2214yes—
290C4×#121C2212yes—
291C4×#121C2212yes—
292#2298C2214yes—
293#2296C2212yes—
294#2293C2214yescomplemented
295#2293C2214yescomplemented
296#2283C2212yes—
297#2280C2211yescharacteristic
298C4×#117C2212yes—
299C4×#117C2212yes—
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C24×C4C2311yescharacteristic
306#556—28no—
307#556—28no—
308#556—216no—
309#556—216no—
310#555—216no—
311#555—28no—
312#555—28no—
313#554—216no—
314#553—28no—
315#553—28no—
316#553—216no—
317#552—216no—
318#552—28no—
319#552—28no—
320#552—232no—
321#552—216no—
322#552—216no—
323#551—232no—
324#544—28no—
325#544—28no—
326#542—216no—
327#541—216no—
328#538—216no—
329#538—216no—
330#537—28no—
331#536—28no—
332#533—216no—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340#529—216no—
341#529—216no—
342#529—216no—
343C2×#126C2312yes—
344C2×#126C2312yes—
345C2×#126C2314yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374#525—28no—
375#525—28no—
376#525—28no—
377C2×#123C2312yes—
378C2×#123C2311yescharacteristic
379C2×#123C2311yescharacteristic
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×C22⋊Q8—28no—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#120C2311yescharacteristic
434C2×#120C2311yescharacteristic
435C2×#120C2312yes—
436C2×#120C2312yes—
437#520—28no—
438#520—28no—
439#520—28no—
440#519—28no—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2314yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×#117D4116yescomplemented
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2311yescharacteristic
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2311yescharacteristic
484C2×#117C2314yes—
485C2×#117C2311yescharacteristic
486C2×#117C2314yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2311yescharacteristic
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C42C2312yes—
511C22×C42C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2314yes—
515#400C2312yes—
516#400C2312yes—
517#400C2311yescharacteristic
518#400C2312yes—
519#400C2314yes—
520#400C2314yes—
521#400C2311yescharacteristic
522#400C2314yes—
523#400C2312yes—
524#400C2314yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2311yescharacteristic
530#399C2312yes—
531#399C2314yes—
532#399C2314yes—
533#399C2311yescharacteristic
534#399C2314yes—
535#399C2312yes—
536#399C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2312yes—
546#398C2311yescharacteristic
547#398C2314yes—
548#398C2314yes—
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2314yes—
567#397C2312yes—
568#397C2314yes—
569#397C2311yescharacteristic
570#397C2314yes—
571#397C2311yescharacteristic
572#397C2312yes—
573#397C2314yes—
574#397C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#395C2312yes—
584#395C2312yes—
585#395C2314yes—
586#395C2312yes—
587#395C2312yes—
588#395C2311yescharacteristic
589#395C2312yes—
590#395C2314yes—
591#395C2314yes—
592#395C2311yescharacteristic
593#395C2314yes—
594#395C2312yes—
595#395C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2314yes—
618#394C2311yescharacteristic
619#394C2314yes—
620#394C2314yes—
621#394C2311yescharacteristic
622#394C2312yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#393C2312yes—
628#393C2312yes—
629#393C2311yescharacteristic
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2311yescharacteristic
634#393C2314yes—
635#393C2314yes—
636#393C2314yes—
637#393C2312yes—
638#393C2314yes—
639#392C2312yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2312yes—
644#392C2312yes—
645#392C2312yes—
646#392C2312yes—
647#392C2311yescharacteristic
648#392C2314yes—
649#392C2311yescharacteristic
650#392C2312yes—
651#392C2314yes—
652#391C2314yes—
653#391C2314yes—
654#391C2314yes—
655#391C2314yes—
656#391C2314yes—
657#391C2314yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2314yes—
671#390C2312yes—
672#390C2312yes—
673#390C2314yes—
674#390C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#389C2314yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2314yes—
701#389C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2312yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
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#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2312yes—
765#386C2312yes—
766#386C2312yes—
767#386C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2312yes—
777#385C2312yes—
778#385C2312yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#384C2314yes—
787#384C2312yes—
788#384C2314yes—
789#383C2312yes—
790#383C2312yes—
791#382C2314yes—
792#382C2314yes—
793#382C2312yes—
794#382C2312yes—
795#382C2312yes—
796#381C2312yes—
797#381C2314yes—
798#381C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804#380C2312yes—
805#380C2311yescharacteristic
806#380C2311yescharacteristic
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#379C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845#376C2312yes—
846#376C2312yes—
847#376C2314yes—
848C2×#95C2311yescharacteristic
849C2×#95C2311yescharacteristic
850C43C2314yes—
851C25C2411yescharacteristic
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C22×Q8—24no—
859C22×Q8—44no—
860C22×Q8C2412yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2414yes—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C23×C4—44no—
889C23×C4C2×D418yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C4⋊Q8—28no—
912C4⋊Q8—24no—
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—44no—
918#126—216no—
919#126—28no—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—216no—
924#126—216no—
925#126—216no—
926#126—28no—
927#126—28no—
928#126—28no—
929#126—28no—
930#125—216no—
931#125—216no—
932#125—28no—
933#125—24no—
934#125—24no—
935#125—28no—
936#125—28no—
937#125—28no—
938#125—28no—
939#125—216no—
940#124—28no—
941#124—28no—
942#124—28no—
943#124—28no—
944#124—216no—
945#124—28no—
946#124—28no—
947#124—28no—
948#124—44no—
949#123—24no—
950#123—24no—
951#123—28no—
952#123—28no—
953#123—216no—
954#123—216no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—216no—
960#123—48no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—24no—
966C22⋊Q8—24no—
967C22⋊Q8—24no—
968C22⋊Q8—24no—
969C22⋊Q8—24no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—48no—
982C22⋊Q8—48no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—44no—
986#121—24no—
987#121—24no—
988#121—24no—
989#121—24no—
990#121—24no—
991#121—24no—
992#121—28no—
993#121—28no—
994#121—24no—
995#121—24no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#120—24no—
1005#120—24no—
1006#120—28no—
1007#120—28no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—24no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—28no—
1018C4×Q8—216no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—216no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—48no—
1040C4×D4—48no—
1041C4×D4—44no—
1042C4×D4—44no—
1043#117—24no—
1044#117—24no—
1045#117—24no—
1046#117—216no—
1047#117—28no—
1048#117—24no—
1049#117—28no—
1050#117—24no—
1051#117—216no—
1052#117—216no—
1053#117—28no—
1054#117—28no—
1055#117—28no—
1056#117—28no—
1057#117—48no—
1058#117—44no—
1059#117C2×D418yes—
1060#117C2×D418yes—
1061#117C2×D4116yes—
1062#117C2×D418yes—
1063#117C2×D4116yes—
1064#117C2×D418yes—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—24no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—24no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4C2×D418yes—
1072C2×C4⋊C4C2×D418yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C22⋊C4—28no—
1141C2×C22⋊C4—44no—
1142C2×C22⋊C4C2×D4116yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C42—44no—
1215C2×C42C2×D4116yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2414yes—
1222C2×C42C2414yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2414yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2414yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
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—
1291C24—42no—
1292C24—42no—
1293C24—41no—
1294C24—41no—
1295C24C22×D414yes—
1296C24C2512yes—
1297C24C2511yescharacteristic
1298C24C2512yes—
1299C24C2511yescharacteristic
1300C24C2511yescharacteristic
1301C24C2511yescharacteristic
1302C24C2511yescharacteristic
1303#41—416no—
1304#41—416no—
1305#41—416no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—22no—
1311C2×Q8—28no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—44no—
1318C2×Q8—42no—
1319C2×Q8—42no—
1320C2×Q8—44no—
1321C2×Q8—44no—
1322C2×Q8—42no—
1323C2×Q8—42no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—416no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—42no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—28no—
1396C22×C4—24no—
1397C22×C4—416no—
1398C22×C4—44no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4C22×D414yes—
1419C22×C4C22×D414yes—
1420C22×C4C22×D414yes—
1421C22×C4C22×D414yes—
1422C22×C4C22×D418yes—
1423C22×C4C22×D418yes—
1424C22×C4C22×D414yes—
1425C22×C4C22×D414yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2514yes—
1429C22×C4C2512yes—
1430C22×C4C2514yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2514yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2514yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4C22×D414yes—
1516C4⋊C4C22×D418yes—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D418yes—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—22no—
1550C22⋊C4—24no—
1551C22⋊C4—22no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4C22×D418yes—
1589C22⋊C4C22×D418yes—
1590C22⋊C4C22×D418yes—
1591C22⋊C4C22×D418yes—
1592C42—24no—
1593C42—24no—
1594C42—24no—
1595C42—24no—
1596C42—28no—
1597C42—28no—
1598C42—28no—
1599C42—24no—
1600C42—22no—
1601C42—22no—
1602C42—24no—
1603C42—24no—
1604C42—24no—
1605C42—28no—
1606C42—42no—
1607C42—42no—
1608C42—44no—
1609C42—44no—
1610C42—44no—
1611C42—44no—
1612C42C22×D418yes—
1613C42C22×D418yes—
1614C42C22×D418yes—
1615C42C22×D418yes—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—21no—
1631C23—21no—
1632C23—22no—
1633C23—24no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—24no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—22no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—84no—
1654C23—84no—
1655C23C23×D412yes—
1656C23C23×D412yes—
1657C23C23×D412yes—
1658C23C2611yescharacteristic
1659Q8—48no—
1660Q8—44no—
1661Q8—44no—
1662Q8—48no—
1663Q8—44no—
1664Q8—88no—
1665Q8—84no—
1666Q8—84no—
1667D4—48no—
1668D4—44no—
1669D4—44no—
1670D4—48no—
1671D4—48no—
1672D4—44no—
1673D4—44no—
1674D4—48no—
1675D4—44no—
1676D4—84no—
1677D4—84no—
1678D4—84no—
1679D4—82no—
1680D4—82no—
1681D4—84no—
1682D4—82no—
1683D4—82no—
1684D4—84no—
1685D4—84no—
1686D4—88no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—28no—
1699C2×C4—28no—
1700C2×C4—28no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—48no—
1756C2×C4—48no—
1757C2×C4—48no—
1758C2×C4—48no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—48no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—88no—
1765C2×C4—84no—
1766C2×C4—84no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4C23×D414yes—
1771C2×C4C23×D414yes—
1772C2×C4C23×D414yes—
1773C2×C4C23×D412yes—
1774C2×C4C23×D412yes—
1775C2×C4C23×D412yes—
1776C2×C4C23×D414yes—
1777C2×C4C23×D412yes—
1778C2×C4#58514yes—
1779C2×C4#58514yes—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—44no—
1808C22—42no—
1809C22—44no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—41no—
1817C22—88no—
1818C22C24×D411yescharacteristic
1819C22C2×#58512yes—
1820C22C2×#58512yes—
1821C222−1+611yescharacteristic
1822C222−1+611yescharacteristic
1823C4—24no—
1824C4—24no—
1825C4—24no—
1826C4—24no—
1827C4—24no—
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—41no—
1832C4—42no—
1833C4—41no—
1834C4—44no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—41no—
1839C4—41no—
1840C4—44no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4—44no—
1845C4—41no—
1846C4—41no—
1847C4—42no—
1848C4—42no—
1849C4—44no—
1850C4#344914yes—
1851C2—42no—
1852C2—42no—
1853C2—42no—
1854C2—82no—
1855C2—81no—
1856C2—81no—
1857C2—82no—
1858C2C2×#344911yescharacteristic
1859C2#6281211yescharacteristic
1860C2#6285911yescharacteristic
1861C2#6290712yes—
1862C2#6293612yes—
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×#3495C2semidirect
2. C2×#3493C2semidirect
3. #42915C2semidirect
4. #42914C2semidirect
5. #42911C2semidirect
6. #42910C2semidirect
7. #42644C2semidirect
8. #42643C2semidirect
9. #42391C2semidirect
10. #42315C2semidirect
11. #42156C2semidirect
12. #41959C2semidirect
13. #40525C2semidirect
14. #40520C2semidirect
15. #39963C2semidirect
16. #39959C2semidirect
17. #38439C2semidirect
18. #38436C2semidirect
19. #37558C2semidirect
20. #37551C2semidirect
21. #37445C2semidirect
22. #37438C2semidirect
23. #36272C2semidirect
24. #36269C2semidirect
25. #36007C2semidirect
26. #35985C2semidirect
27. #35759C2semidirect
28. #35724C2semidirect
29. #35689C2semidirect
30. #35688C2semidirect
31. #35201C2semidirect
32. #35085C2semidirect
33. #34643C2semidirect
34. #34575C2semidirect
35. #34109C2semidirect
77. #2861C22semidirect
78. #2859C22semidirect
81. #2821C22semidirect
82. #2821C22semidirect
83. #2821C22semidirect
84. #2821C22semidirect
90. #2723C22semidirect
92. #2721C22semidirect
93. #2720C22semidirect
94. #2719C22semidirect
96. #2716C22semidirect
99. #2714C22semidirect
100. #2713C22semidirect
102. #2711C22semidirect
114. #2664C22semidirect
115. #2664C22semidirect
116. #2664C22semidirect
126. #2662C22semidirect
127. #2662C22semidirect
128. #2662C22semidirect
141. #2637C22semidirect
142. #2637C22semidirect
143. #2636C22semidirect
144. #2636C22semidirect
146. #2634C22semidirect
147. #2633C22semidirect
148. #2632C22semidirect
149. #2631C22semidirect
162. #2611C22semidirect
163. #2611C22semidirect
164. #2611C22semidirect
165. #2610C22semidirect
166. #2604C22semidirect
167. #2604C22semidirect
168. #2604C22semidirect
169. #2604C22semidirect
171. #2601C22semidirect
172. #2601C22semidirect
175. #2592C22semidirect
177. #2584C22semidirect
179. #2581C22semidirect
180. #2581C22semidirect
181. #2580C22semidirect
182. #2580C22semidirect
183. #2568C22semidirect
184. #2567C22semidirect
187. #2563C22semidirect
192. #2552C22semidirect
193. #2550C22semidirect
194. #2542C22semidirect
195. #2542C22semidirect
196. #2540C22semidirect
204. #2492C22semidirect
205. #2490C22semidirect
206. #2489C22semidirect
207. #2489C22semidirect
212. #2477C22semidirect
214. #2475C22semidirect
216. #2473C22semidirect
219. #2465C22semidirect
221. #2463C22semidirect
222. #2462C22semidirect
223. #2460C22semidirect
227. #2453C22semidirect
228. #2452C22semidirect
229. #2451C22semidirect
230. #2451C22semidirect
231. #2449C22semidirect
232. #2441C22semidirect
233. #2440C22semidirect
234. #2439C22semidirect
235. #2439C22semidirect
239. #2429C22semidirect
240. #2429C22semidirect
241. #2427C22semidirect
242. #2426C22semidirect
244. #2417C22semidirect
250. #2415C22semidirect
251. #2415C22semidirect
253. #2414C22semidirect
258. #2399C22semidirect
259. #2398C22semidirect
260. #2398C22semidirect
261. #2397C22semidirect
270. #2367C22semidirect
271. #2365C22semidirect
272. #2362C22semidirect
273. #2361C22semidirect
274. #2360C22semidirect
275. #2360C22semidirect
276. #2352C22semidirect
277. D4×C4⋊C4C22semidirect
287. #2323C22semidirect
288. #2323C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
476. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#34932
#429152
#429142
#429112
#429102
#426442
#426432
#423912
#423152
#421562
#419592
#405252
#405202
#399632
#399592
#384392
#384362
#375582
#375512
#374452
#374382
#362722
#362692
#360072
#359852
#357592
#357242
#356892
#356882
#352012
#350852
#346432
#345752
#341092