Finite Group Databasebeta

← #7732086

Subgroups — #7732086

Order 512.

6487 conjugacy classes of subgroups.

The subgroup lattice has 1883 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#50177C214yesmaximal, complemented
4#48787C214yesmaximal, complemented
5#47767C214yesmaximal, complemented
6#47761C214yesmaximal, complemented
7#45239C212yesmaximal, complemented
8#45238C212yesmaximal, complemented
9#45237C212yesmaximal, complemented
10#45236C212yesmaximal, complemented
11#39727C211yesmaximal, characteristic, complemented
12#39724C211yesmaximal, characteristic, complemented
13#39724C212yesmaximal, complemented
14#39719C212yesmaximal, complemented
15#39139C211yesmaximal, characteristic, complemented
16#39139C212yesmaximal, complemented
17#39136C211yesmaximal, characteristic, complemented
18#39131C212yesmaximal, complemented
19#37765C212yesmaximal, complemented
20#37749C212yesmaximal, complemented
21#37711C212yesmaximal, complemented
22#37691C212yesmaximal, complemented
23#37615C211yesmaximal, characteristic, complemented
24#37379C212yesmaximal, complemented
25#37379C212yesmaximal, complemented
26#36579C211yesmaximal, characteristic, complemented
27#36577C211yesmaximal, characteristic, complemented
28#36504C211yesmaximal, characteristic, complemented
29#36445C211yesmaximal, characteristic, complemented
30#35663C212yesmaximal, complemented
31#35663C212yesmaximal, complemented
32#35279C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34373C211yesmaximal, characteristic, complemented
36#3509—216no—
37C2×#557C2211yescharacteristic
38C2×#557C2212yes—
39C2×#557C2211yescharacteristic
40C2×#556C2212yes—
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#552C2214yes—
44C2×#552C2212yes—
45C2×#552C2212yes—
46#3461—216no—
47C2×#544C2211yescharacteristic
48C2×#542C2212yes—
49C2×#542C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#541C2214yes—
52C2×#541C2211yescharacteristic
53C2×#541C2212yes—
54C2×#541C2211yescharacteristic
55C2×#539C2212yes—
56C2×#539C2212yes—
57C2×#537C2211yescharacteristic
58C2×#536C2212yes—
59C2×#536C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#533C2212yes—
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C2×#533C2212yes—
65C2×#533C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#519C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2857C2212yes—
78#2857C2212yes—
79#2857C2211yescharacteristic
80#2857C2211yescharacteristic
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic
83#2851C2212yes—
84#2850C2212yes—
85#2850C2212yes—
86#2850C2212yes—
87#2821C2214yes—
88#2732C2214yes—
89#2730C2214yes—
90#2729C2214yes—
91#2728C2214yes—
92#2727C2214yes—
93#2725C2214yes—
94#2723C2214yes—
95#2723C2214yes—
96#2723C2214yes—
97#2721C2214yes—
98#2721C2214yes—
99#2721C2214yes—
100#2721C2214yes—
101#2720C2214yes—
102#2720C2214yes—
103#2719C2214yes—
104#2719C2214yes—
105#2719C2214yes—
106#2718C2214yes—
107#2718C2214yes—
108#2716C2214yes—
109#2714C2214yes—
110#2710C2214yes—
111#2710C2214yes—
112#2706C2214yes—
113#2706C2214yes—
114#2705C2214yes—
115#2703C2214yes—
116#2703C2214yes—
117#2702C2214yes—
118#2696C2214yes—
119#2696C2214yes—
120#2694C2214yes—
121#2694C2214yes—
122#2694C2214yes—
123#2692C2214yes—
124#2692C2214yes—
125#2690C2214yes—
126#2690C2214yes—
127#2690C2214yes—
128#2660C2212yes—
129#2640C2212yes—
130#2630C2214yes—
131#2628C2212yes—
132#2628C2212yes—
133#2623C2214yes—
134#2621C2212yes—
135#2621C2212yes—
136#2621C2212yes—
137#2621C2212yes—
138#2620C2212yes—
139#2620C2212yes—
140#2601C2214yes—
141#2600C2212yes—
142#2600C2212yes—
143#2599C2212yes—
144#2598C2212yes—
145#2592C2212yes—
146#2592C2212yes—
147#2582C2212yes—
148#2582C2212yes—
149#2582C2211yescharacteristic
150#2581C2212yes—
151#2581C2211yescharacteristic
152#2581C2212yes—
153#2580C2211yescharacteristic
154#2568C2212yes—
155#2568C2212yes—
156#2568C2212yes—
157#2568C2211yescharacteristic
158#2568C2211yescharacteristic
159#2567C2212yes—
160#2563C2212yes—
161#2560C2214yes—
162#2554C2214yes—
163#2552C2212yes—
164#2552C2214yes—
165#2550C2212yes—
166#2550C2214yes—
167#2542C2212yes—
168#2542C2212yes—
169#2542C2211yescharacteristic
170#2542C2211yescharacteristic
171#2542C2212yes—
172#2540C2212yes—
173#2540C2212yes—
174#2538C2211yescharacteristic
175#2538C2212yes—
176#2538C2212yes—
177#2538C2211yescharacteristic
178#2538C2212yes—
179#2537C2211yescharacteristic
180#2536C2212yes—
181#2536C2212yes—
182#2536C2212yes—
183#2536C2211yescharacteristic
184#2535C2211yescharacteristic
185#2519C2214yes—
186#2512C2214yes—
187#2504C2212yes—
188#2502C2212yes—
189#2490C2212yes—
190#2490C2214yes—
191#2489C2212yes—
192#2489C2214yes—
193#2487C2212yes—
194#2487C2212yes—
195#2485C2211yescharacteristic
196#2485C2211yescharacteristic
197#2485C2212yes—
198#2481C2214yes—
199#2479C2214yes—
200#2479C2214yes—
201#2478C2214yes—
202#2478C2214yes—
203#2477C2214yes—
204#2476C2214yes—
205#2476C2214yes—
206#2475C2214yes—
207#2474C2214yes—
208#2474C2214yes—
209#2471C2214yes—
210#2470C2214yes—
211#2470C2214yes—
212#2469C2214yes—
213#2469C2214yes—
214#2469C2214yes—
215#2467C2214yes—
216#2465C2214yes—
217#2465C2214yes—
218#2462C2214yes—
219#2462C2214yes—
220#2458C2214yes—
221#2458C2214yes—
222#2454C2212yes—
223#2454C2214yes—
224#2453C2214yes—
225#2453C2212yes—
226#2448C2214yes—
227#2448C2212yes—
228#2446C2214yes—
229#2446C2212yes—
230#2442C2212yes—
231#2442C2214yes—
232#2441C2214yes—
233#2441C2212yes—
234#2441C2212yes—
235#2439C2212yes—
236#2429C2212yes—
237#2426C2212yes—
238#2423C2214yes—
239#2423C2212yes—
240#2423C2212yes—
241#2421C2214yes—
242#2421C2212yes—
243#2421C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2409C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2409C2212yes—
252#2409C2212yes—
253#2407C2211yescharacteristic
254#2407C2211yescharacteristic
255#2407C2212yes—
256#2407C2212yes—
257#2395C2212yes—
258#2388C2212yes—
259#2378C2214yes—
260#2363C2212yes—
261#2362C2212yes—
262#2362C2212yes—
263#2362C2212yes—
264#2355C2212yes—
265#2355C2211yescharacteristic
266#2355C2212yes—
267#2355C2211yescharacteristic
268#2354C2212yes—
269#2352C2212yes—
270#2351C2212yes—
271Q8×C4⋊C4C2211yescharacteristic
272Q8×C4⋊C4C2211yescharacteristic
273Q8×C4⋊C4C2212yes—
274#2341C2212yes—
275Q8×C22⋊C4C2212yes—
276#2336C2214yes—
277#2331C2212yes—
278#2327C2212yes—
279#2324C2212yes—
280#2323C2212yes—
281#2323C2212yes—
282#2323C2212yes—
283#2323C2212yes—
284#2323C2212yes—
285#2317C2212yes—
286#2314C2212yes—
287#2314C2212yes—
288#2311C2212yes—
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2212yes—
291C4×C22⋊Q8C2211yescharacteristic
292C4×C22⋊Q8C2212yes—
293C4×C22⋊Q8C2212yes—
294C4×C22⋊Q8C2211yescharacteristic
295C4×#121C2211yescharacteristic
296C4×#121C2211yescharacteristic
297#2290C2212yes—
298#2290C2212yes—
299#2285C2211yescharacteristic
300#2283C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306#557—28no—
307#557—28no—
308#557—216no—
309#556—28no—
310#556—28no—
311#556—216no—
312#552—216no—
313#552—216no—
314#552—232no—
315#544—28no—
316#542—28no—
317#542—28no—
318#542—216no—
319#541—28no—
320#541—216no—
321#541—232no—
322#541—28no—
323#539—216no—
324#539—216no—
325#537—28no—
326#536—28no—
327#536—28no—
328#536—216no—
329#533—216no—
330#533—216no—
331#533—216no—
332#533—28no—
333#533D4116yescomplemented
334C2×C4⋊Q8—28no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348#529—216no—
349#529—28no—
350#529—216no—
351#529—216no—
352#529—28no—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2314yes—
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2314yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2314yes—
377C2×#125C2314yes—
378C2×#125C2314yes—
379C2×#125C2314yes—
380C2×#125C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439#519—216no—
440C4×#41—28no—
441C4×#41—28no—
442C4×#41—28no—
443C2×C4×Q8—28no—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2314yes—
462C2×C4×Q8C2314yes—
463C2×C4×Q8C2314yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2314yes—
500C2×#117C2314yes—
501C2×#117C2314yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C42C2312yes—
509C22×C42C2312yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2314yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2314yes—
522#400C2312yes—
523#400C2314yes—
524#400C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2312yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#395C2314yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#395C2312yes—
581#395C2314yes—
582#395C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#393C2312yes—
598#393C2314yes—
599#393C2314yes—
600#393C2314yes—
601#393C2314yes—
602#393C2314yes—
603#393C2314yes—
604#392C2312yes—
605#392C2312yes—
606#392C2312yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2314yes—
624#391C2312yes—
625#391C2314yes—
626#391C2312yes—
627#391C2314yes—
628#391C2314yes—
629#391C2312yes—
630#391C2312yes—
631#391C2314yes—
632#391C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2312yes—
660#389C2312yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2314yes—
670#389C2314yes—
671#389C2312yes—
672#389C2312yes—
673#389C2314yes—
674#389C2314yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#387C2312yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2312yes—
739#387C2312yes—
740#387C2312yes—
741#387C2312yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#386C2314yes—
761#386C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#384C2314yes—
779#384C2312yes—
780#384C2312yes—
781#384C2311yescharacteristic
782#384C2311yescharacteristic
783#384C2312yes—
784#384C2314yes—
785#384C2312yes—
786#384C2314yes—
787#383C2312yes—
788#382C2314yes—
789#382C2312yes—
790#382C2314yes—
791#382C2312yes—
792#382C2314yes—
793#382C2312yes—
794#382C2312yes—
795#382C2311yescharacteristic
796#382C2311yescharacteristic
797#382C2312yes—
798#381C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2311yescharacteristic
808#380C2311yescharacteristic
809#380C2312yes—
810#380C2311yescharacteristic
811#380C2312yes—
812#380C2311yescharacteristic
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2312yes—
821#380C2311yescharacteristic
822#380C2311yescharacteristic
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850#376C2312yes—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—42no—
860C22×Q8—24no—
861C22×Q8—28no—
862C22×Q8—24no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8—42no—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2414yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C4⋊Q8—24no—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—24no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8C2×D418yes—
919C4⋊Q8C2×D418yes—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—216no—
929#126—28no—
930#126—28no—
931#126—28no—
932#125—28no—
933#125—28no—
934#125—28no—
935#125—24no—
936#125—28no—
937#125—28no—
938#125—28no—
939#125—28no—
940#125—28no—
941#125—216no—
942#125—216no—
943#125—216no—
944#125—216no—
945#125—216no—
946#125—24no—
947#125C2×D4116yes—
948#124—24no—
949#124—28no—
950#124—28no—
951#124—28no—
952#124—24no—
953#124—28no—
954#124—28no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—216no—
964#123—216no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—216no—
972C22⋊Q8—24no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—42no—
993C22⋊Q8—42no—
994C22⋊Q8C2×D418yes—
995C22⋊Q8C2×D418yes—
996C22⋊Q8C2×D4116yes—
997#121—24no—
998#121—28no—
999#121—24no—
1000#121—28no—
1001#121—28no—
1002#121—44no—
1003#121—42no—
1004#121—42no—
1005#121—44no—
1006C4×Q8—24no—
1007C4×Q8—24no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—216no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—216no—
1014C4×Q8—216no—
1015C4×Q8—28no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—44no—
1027C4×Q8—44no—
1028C4×Q8C2×D418yes—
1029C4×Q8C2×D418yes—
1030C4×Q8C2×D4116yes—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—44no—
1049#117—24no—
1050#117—24no—
1051#117—24no—
1052#117—28no—
1053#117—28no—
1054#117—28no—
1055#117—216no—
1056#117—216no—
1057#117—216no—
1058#117—24no—
1059#117—28no—
1060#117—24no—
1061#117—28no—
1062#117—28no—
1063#117—28no—
1064#117—44no—
1065#117C2×D4116yes—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—24no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C42—24no—
1210C2×C42—28no—
1211C2×C42—28no—
1212C2×C42—24no—
1213C2×C42—28no—
1214C2×C42C2×D418yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2414yes—
1222C2×C42C2414yes—
1223C2×C42C2414yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298C24C2512yes—
1299C24C2511yescharacteristic
1300C24C2512yes—
1301C24C2511yescharacteristic
1302C24C2511yescharacteristic
1303#41—416no—
1304#41—416no—
1305#41—416no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—28no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—42no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—42no—
1332C2×Q8—42no—
1333C2×Q8—41no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—416no—
1337C2×Q8—432no—
1338C2×Q8C22×D414yes—
1339C2×Q8C22×D414yes—
1340C2×Q8C22×D418yes—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—41no—
1360C2×D4—42no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—28no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4C22×D414yes—
1428C22×C4C22×D414yes—
1429C22×C4C22×D414yes—
1430C22×C42−1+414yes—
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2514yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2514yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2514yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—28no—
1501C4⋊C4—28no—
1502C4⋊C4—28no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4C22×D414yes—
1535C4⋊C4C22×D418yes—
1536C4⋊C4C22×D414yes—
1537C4⋊C4C22×D418yes—
1538C4⋊C4C22×D418yes—
1539C4⋊C4C22×D418yes—
1540C4⋊C4C22×D418yes—
1541C4⋊C4C22×D418yes—
1542C4⋊C4C22×D418yes—
1543C22⋊C4—24no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—22no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—22no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4C22×D418yes—
1599C22⋊C4C22×D418yes—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—24no—
1604C42—22no—
1605C42—24no—
1606C42—24no—
1607C42—22no—
1608C42—24no—
1609C42—24no—
1610C42—24no—
1611C42—22no—
1612C42—24no—
1613C42—24no—
1614C42—28no—
1615C42—28no—
1616C42—28no—
1617C42—28no—
1618C42—24no—
1619C42—24no—
1620C42—44no—
1621C42—44no—
1622C42—44no—
1623C42—44no—
1624C42—44no—
1625C42C22×D414yes—
1626C42C22×D414yes—
1627C42C22×D418yes—
1628C42C22×D418yes—
1629C42C22×D414yes—
1630C42C22×D414yes—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—22no—
1662C23—21no—
1663C23—22no—
1664C23C23×D412yes—
1665C23C2×2−1+412yes—
1666C23C2611yescharacteristic
1667Q8—28no—
1668Q8—28no—
1669Q8—48no—
1670Q8—48no—
1671Q8—44no—
1672Q8—416no—
1673Q8—48no—
1674Q8—48no—
1675Q8—44no—
1676Q8—44no—
1677Q8—84no—
1678D4—44no—
1679D4—44no—
1680D4—48no—
1681D4—44no—
1682D4—48no—
1683D4—44no—
1684D4—44no—
1685D4—84no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4—164no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—28no—
1709C2×C4—28no—
1710C2×C4—28no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—44no—
1769C2×C4—48no—
1770C2×C4—48no—
1771C2×C4—48no—
1772C2×C4—48no—
1773C2×C4—416no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—44no—
1779C2×C4—82no—
1780C2×C4—82no—
1781C2×C4—84no—
1782C2×C4—84no—
1783C2×C4C23×D414yes—
1784C2×C4C23×D414yes—
1785C2×C4C23×D414yes—
1786C2×C4C23×D414yes—
1787C2×C4C23×D412yes—
1788C2×C4C23×D412yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D412yes—
1793C2×C4C2×2−1+412yes—
1794C2×C4C2×2−1+412yes—
1795C2×C4#58512yes—
1796C2×C4#58512yes—
1797C2×C4#58512yes—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—42no—
1816C22—41no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—42no—
1821C22—42no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—41no—
1827C22—41no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22C24×D411yescharacteristic
1834C22C22×2−1+411yescharacteristic
1835C22C2×#58511yescharacteristic
1836C22C2×#58511yescharacteristic
1837C22C2×#58511yescharacteristic
1838C222−1+611yescharacteristic
1839C222−1+611yescharacteristic
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—24no—
1844C4—24no—
1845C4—22no—
1846C4—22no—
1847C4—24no—
1848C4—24no—
1849C4—41no—
1850C4—41no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—44no—
1855C4—42no—
1856C4—41no—
1857C4—42no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4—41no—
1862C4—42no—
1863C4—42no—
1864C4—44no—
1865C4—42no—
1866C4—42no—
1867C4—44no—
1868C4#348714yes—
1869C4#348914yes—
1870C2—42no—
1871C2—42no—
1872C2—82no—
1873C2—81no—
1874C2—82no—
1875C2C2×#348711yescharacteristic
1876C2C2×#348911yescharacteristic
1877C2#6285911yescharacteristic
1878C2#6295611yescharacteristic
1879C2#6295911yescharacteristic
1880C2#6296711yescharacteristic
1881C2#6296811yescharacteristic
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×#3509C2semidirect
2. C2×#3461C2semidirect
3. #50177C2semidirect
4. #48787C2semidirect
5. #47767C2semidirect
6. #47761C2semidirect
7. #45239C2semidirect
8. #45238C2semidirect
9. #45237C2semidirect
10. #45236C2semidirect
11. #39727C2semidirect
12. #39724C2semidirect
13. #39724C2semidirect
14. #39719C2semidirect
15. #39139C2semidirect
16. #39139C2semidirect
17. #39136C2semidirect
18. #39131C2semidirect
19. #37765C2semidirect
20. #37749C2semidirect
21. #37711C2semidirect
22. #37691C2semidirect
23. #37615C2semidirect
24. #37379C2semidirect
25. #37379C2semidirect
26. #36579C2semidirect
27. #36577C2semidirect
28. #36504C2semidirect
29. #36445C2semidirect
30. #35663C2semidirect
31. #35663C2semidirect
32. #35279C2semidirect
33. #35189C2semidirect
34. #34909C2semidirect
35. #34373C2semidirect
333. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#34612
#501772
#487872
#477672
#477612
#452392
#452382
#452372
#452362
#397272
#397242
#397192
#391392
#391362
#391312
#377652
#377492
#377112
#376912
#376152
#373792
#365792
#365772
#365042
#364452
#356632
#352792
#351892
#349092
#343732