Finite Group Databasebeta

← #7987470

Subgroups — #7987470

Order 512.

6511 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C2×#3547C211yesmaximal, characteristic, complemented
3#59755C212yesmaximal, complemented
4#59659C211yesmaximal, characteristic, complemented
5#59658C212yesmaximal, complemented
6#59081C211yesmaximal, characteristic, complemented
7#59050C211yesmaximal, characteristic, complemented
8#51976C214yesmaximal, complemented
9#51748C214yesmaximal, complemented
10#45481C214yesmaximal, complemented
11#45325C212yesmaximal, complemented
12#45274C212yesmaximal, complemented
13#45246C212yesmaximal, complemented
14#45196C212yesmaximal, complemented
15#42650C212yesmaximal, complemented
16#42645C212yesmaximal, complemented
17#42644C212yesmaximal, complemented
18#42643C212yesmaximal, complemented
19#39596C211yesmaximal, characteristic, complemented
20#39468C211yesmaximal, characteristic, complemented
21#39435C212yesmaximal, complemented
22#39427C212yesmaximal, complemented
23#39347C214yesmaximal, complemented
24#39139C211yesmaximal, characteristic, complemented
25#38908C211yesmaximal, characteristic, complemented
26#36446C211yesmaximal, characteristic, complemented
27#36406C211yesmaximal, characteristic, complemented
28#36186C212yesmaximal, complemented
29#36185C212yesmaximal, complemented
30#36151C211yesmaximal, characteristic, complemented
31#35169C212yesmaximal, complemented
32#35158C212yesmaximal, complemented
33#34919C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36#3555—216no—
37#3547—216no—
38C2×#563C2214yes—
39C2×#562C2214yes—
40C2×Q82C2211yescharacteristic
41C2×#557C2212yes—
42C2×#557C2211yescharacteristic
43C2×#556C2212yes—
44C2×#556C2211yescharacteristic
45C2×#556C2212yes—
46C2×#555C2211yescharacteristic
47C2×#555C2212yes—
48C2×#554C2211yescharacteristic
49C2×#553C2212yes—
50C2×#552C2212yes—
51C2×#552C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#544C2212yes—
56C2×#544C2212yes—
57C2×#542C2214yes—
58C2×#542C2212yes—
59C2×#541C2212yes—
60C2×#541C2212yes—
61C2×#541C2214yes—
62C2×#540C2212yes—
63C2×#537C2212yes—
64C2×#536C2212yes—
65C2×#533C2211yescharacteristic
66C2×#533C2211yescharacteristic
67C2×#533C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71#2862C2212yes—
72#2862C2211yescharacteristic
73#2857C2212yes—
74#2857C2211yescharacteristic
75#2857C2211yescharacteristic
76#2854C2214yes—
77#2850C2214yes—
78#2850C2214yes—
79#2814C2214yes—
80#2813C2214yes—
81#2731C2214yes—
82#2730C2214yes—
83#2729C2214yes—
84#2723C2214yes—
85#2721C2214yes—
86#2721C2214yes—
87#2720C2214yes—
88#2720C2214yes—
89#2719C2214yes—
90#2716C2214yes—
91#2716C2214yes—
92#2715C2214yes—
93#2715C2214yes—
94#2715C2214yes—
95#2714C2214yes—
96#2713C2214yes—
97#2713C2214yes—
98#2712C2214yes—
99#2712C2214yes—
100#2711C2214yes—
101#2705C2214yes—
102#2704C2214yes—
103#2695C2214yes—
104#2695C2214yes—
105#2695C2214yes—
106#2694C2214yes—
107#2694C2214yes—
108#2693C2214yes—
109#2692C2214yes—
110#2691C2214yes—
111#2691C2214yes—
112#2691C2214yes—
113#2690C2214yes—
114#2663C2214yes—
115#2661C2214yes—
116#2639C2214yes—
117#2639C2214yes—
118#2628C2212yes—
119#2625C2212yes—
120#2625C2214yes—
121#2624C2214yes—
122#2621C2212yes—
123#2616C2212yes—
124#2580C2212yes—
125#2568C2212yes—
126#2568C2211yescharacteristic
127#2567C2212yes—
128#2560C2214yes—
129#2560C2212yes—
130#2559C2212yes—
131#2559C2214yes—
132#2558C2214yes—
133#2558C2212yes—
134#2557C2212yes—
135#2557C2214yes—
136#2555C2214yes—
137#2553C2214yes—
138#2553C2214yes—
139#2553C2214yes—
140#2552C2212yes—
141#2550C2214yes—
142#2550C2211yescharacteristic
143#2550C2212yes—
144#2550C2211yescharacteristic
145#2547C2211yescharacteristic
146#2547C2212yes—
147#2546C2211yescharacteristic
148#2545C2214yes—
149#2545C2211yescharacteristic
150#2544C2212yes—
151#2544C2211yescharacteristic
152#2542C2211yescharacteristic
153#2542C2212yes—
154#2542C2212yes—
155#2540C2211yescharacteristic
156#2540C2212yes—
157#2540C2211yescharacteristic
158#2538C2211yescharacteristic
159#2538C2211yescharacteristic
160#2536C2212yes—
161#2536C2211yescharacteristic
162#2536C2212yes—
163#2535C2211yescharacteristic
164#2535C2212yes—
165#2521C2214yes—
166#2521C2214yes—
167#2521C2214yes—
168#2521C2212yes—
169#2521C2214yes—
170#2519C2214yes—
171#2519C2214yes—
172#2519C2212yes—
173#2512C2214yes—
174#2506C2214yes—
175#2500C2214yes—
176#2499C2214yes—
177#2499C2212yes—
178#2498C2214yes—
179#2498C2214yes—
180#2492C2211yescharacteristic
181#2492C2214yes—
182#2492C2212yes—
183#2492C2212yes—
184#2491C2212yes—
185#2491C2214yes—
186#2491C2212yes—
187#2491C2211yescharacteristic
188#2490C2211yescharacteristic
189#2490C2214yes—
190#2490C2212yes—
191#2490C2212yes—
192#2489C2212yes—
193#2489C2214yes—
194#2489C2214yes—
195#2489C2212yes—
196#2489C2212yes—
197#2489C2211yescharacteristic
198#2489C2212yes—
199#2489C2214yes—
200#2485C2212yes—
201#2467C2214yes—
202#2465C2214yes—
203#2464C2212yes—
204#2461C2212yes—
205#2460C2214yes—
206#2458C2214yes—
207#2454C2214yes—
208#2453C2212yes—
209#2453C2212yes—
210#2453C2212yes—
211#2451C2212yes—
212#2451C2214yes—
213#2451C2212yes—
214#2448C2214yes—
215#2448C2212yes—
216#2446C2214yes—
217#2442C2212yes—
218#2441C2212yes—
219#2439C2212yes—
220#2439C2212yes—
221#2439C2212yes—
222#2434C2212yes—
223#2432C2212yes—
224#2429C2211yescharacteristic
225#2429C2212yes—
226#2428C2211yescharacteristic
227#2427C2212yes—
228#2427C2212yes—
229#2427C2212yes—
230#2427C2211yescharacteristic
231#2427C2212yes—
232#2426C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2426C2211yescharacteristic
237#2423C2212yes—
238#2421C2212yes—
239#2421C2212yes—
240#2417C2212yes—
241#2417C2212yes—
242#2417C2212yes—
243#2415C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2414C2212yes—
247#2409C2212yes—
248#2407C2212yes—
249#2396C2212yes—
250#2395C2212yes—
251#2392C2212yes—
252#2388C2212yes—
253#2370C2212yes—
254#2369C2211yescharacteristic
255#2368C2214yes—
256#2367C2214yes—
257#2365C2212yes—
258#2362C2212yes—
259#2362C2212yes—
260#2362C2212yes—
261#2362C2212yes—
262#2362C2212yes—
263#2362C2212yes—
264#2360C2212yes—
265#2360C2212yes—
266#2360C2212yes—
267#2355C2211yescharacteristic
268#2354C2212yes—
269#2351C2212yes—
270#2349C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272#2345C2212yes—
273Q8×C22⋊C4C2212yes—
274Q8×C22⋊C4C2212yes—
275#2324C2212yes—
276#2323C2212yes—
277#2311C2212yes—
278#2311C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×#125C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2214yes—
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2297C2212yes—
293#2297C2212yes—
294#2293C2212yes—
295#2285C2214yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C42×D4C2212yes—
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#563—232no—
305#562—232no—
306Q82—28no—
307#557—216no—
308#557—28no—
309#556—216no—
310#556—216no—
311#556—28no—
312#555—28no—
313#555—216no—
314#554D4116yescomplemented
315#553—216no—
316#552—216no—
317#552—216no—
318D4×Q8—28no—
319#548—216no—
320#547—28no—
321#544—216no—
322#544—216no—
323#542—232no—
324#542—216no—
325#541—216no—
326#541—216no—
327#541—232no—
328#540—216no—
329#537—216no—
330#536—216no—
331#533—28no—
332#533—28no—
333#533—28no—
334#532—28no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×#127C2311yescharacteristic
350#529—28no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2312yes—
372C2×#125C2314yes—
373C2×#125C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2314yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2314yes—
479C2×#117C2314yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485C22×C42C2314yes—
486C22×C42C2312yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2312yes—
495#400C2312yes—
496#400C2314yes—
497#399C2314yes—
498#399C2312yes—
499#399C2314yes—
500#399C2312yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#398C2312yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2312yes—
510#398C2314yes—
511#398C2314yes—
512#398C2312yes—
513#398C2312yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#397C2314yes—
520#397C2312yes—
521#397C2314yes—
522#397C2314yes—
523#397C2312yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2312yes—
532#397C2312yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#396C2312yes—
537#396C2312yes—
538#396C2312yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2312yes—
553#395C2312yes—
554#395C2314yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#393C2314yes—
577#393C2312yes—
578#393C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2312yes—
582#393C2314yes—
583#392C2312yes—
584#392C2312yes—
585#392C2312yes—
586#392C2312yes—
587#392C2314yes—
588#392C2314yes—
589#391C2314yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2314yes—
595#391C2314yes—
596#391C2312yes—
597#391C2314yes—
598#391C2314yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2314yes—
604#391C2312yes—
605#391C2312yes—
606#391C2314yes—
607#391C2311yescharacteristic
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2314yes—
614#391C2314yes—
615#391C2314yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2312yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2314yes—
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#384C2311yescharacteristic
755#384C2314yes—
756#384C2312yes—
757#384C2314yes—
758#382C2312yes—
759#382C2311yescharacteristic
760#382C2312yes—
761#382C2314yes—
762#382C2314yes—
763#382C2312yes—
764#382C2312yes—
765#382C2314yes—
766#382C2311yescharacteristic
767#382C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2312yes—
781#380C2314yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C2×#95C2314yes—
843C43C2312yes—
844C43C2311yescharacteristic
845C2×#41—28no—
846C2×#41—28no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C22×Q8—28no—
852C22×Q8—44no—
853C22×Q8—44no—
854C22×Q8C2411yescharacteristic
855C22×Q8C2412yes—
856C22×Q8C2411yescharacteristic
857C22×Q8C2412yes—
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2414yes—
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×D4C2411yescharacteristic
865C22×D4C2411yescharacteristic
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C4⋊Q8—24no—
894C4⋊Q8—216no—
895C4⋊Q8—24no—
896C4⋊Q8—24no—
897C4⋊Q8—216no—
898C4⋊Q8—28no—
899C4⋊Q8—28no—
900C4⋊Q8—216no—
901C4⋊Q8—24no—
902C4⋊Q8—24no—
903C4⋊Q8—28no—
904C4⋊Q8—28no—
905C4⋊Q8—44no—
906C4⋊Q8C2×D418yes—
907#127—24no—
908#126—28no—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—28no—
913#126—216no—
914#126—216no—
915#126—216no—
916#126—216no—
917#125—24no—
918#125—24no—
919#125—28no—
920#125—28no—
921#125—28no—
922#125—216no—
923#125—216no—
924#125—216no—
925#125—216no—
926#125—216no—
927#125—28no—
928#125—216no—
929#125C2×D4116yes—
930#124—24no—
931#124—216no—
932#124—24no—
933#124—28no—
934#124—28no—
935#124—216no—
936#124—216no—
937#124—216no—
938#124—44no—
939#124—48no—
940#124—44no—
941#124—42no—
942#124—42no—
943#123—216no—
944#123—216no—
945#123—28no—
946#123—216no—
947#123—28no—
948#123—216no—
949#123—216no—
950C22⋊Q8—24no—
951C22⋊Q8—24no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—216no—
956C22⋊Q8—28no—
957C22⋊Q8—216no—
958C22⋊Q8—24no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—28no—
968C22⋊Q8—24no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—42no—
975C22⋊Q8C2×D4116yes—
976C22⋊Q8C2×D4132yes—
977#121—24no—
978#121—24no—
979#121—28no—
980#121—216no—
981#121—216no—
982#121—24no—
983#121—24no—
984#121—28no—
985#121—216no—
986#121—28no—
987#121—24no—
988#121—28no—
989#121—216no—
990#121—44no—
991#121—42no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—216no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—44no—
1006C4×Q8—42no—
1007C4×Q8—42no—
1008C4×Q8C2×D418yes—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—216no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—28no—
1015C4×D4—24no—
1016C4×D4—28no—
1017C4×D4—42no—
1018C4×D4—44no—
1019C4×D4—42no—
1020C4×D4—44no—
1021C4×D4—42no—
1022C4×D4—44no—
1023C4×D4—42no—
1024C4×D4C2×D418yes—
1025C4×D4C2×D4116yes—
1026#117—28no—
1027#117—216no—
1028#117—216no—
1029#117—28no—
1030#117—28no—
1031#117—28no—
1032#117—28no—
1033#117—28no—
1034#117—28no—
1035#117—28no—
1036C2×C4⋊C4—28no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4C2×D4116yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C42—24no—
1173C2×C42—24no—
1174C2×C42—44no—
1175C2×C42—48no—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2414yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2411yescharacteristic
1214#95C2414yes—
1215#95C2411yescharacteristic
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2414yes—
1223#95C2414yes—
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267C24C2511yescharacteristic
1268C24C2512yes—
1269C24C2511yescharacteristic
1270C24C2512yes—
1271C24C2512yes—
1272#41—816no—
1273#41—816no—
1274C2×Q8—22no—
1275C2×Q8—24no—
1276C2×Q8—22no—
1277C2×Q8—24no—
1278C2×Q8—24no—
1279C2×Q8—28no—
1280C2×Q8—28no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—22no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—24no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—42no—
1293C2×Q8—42no—
1294C2×Q8—42no—
1295C2×Q8—44no—
1296C2×Q8—44no—
1297C2×Q8—44no—
1298C2×Q8—42no—
1299C2×Q8—44no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—816no—
1303C2×Q8C22×D414yes—
1304C2×Q8C22×D418yes—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—28no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—24no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—24no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4C22×D414yes—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—28no—
1372C22×C4—28no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—44no—
1382C22×C4—42no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4C22×D418yes—
1391C22×C4C22×D4116yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2514yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—41no—
1468C4⋊C4—42no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4C22×D414yes—
1485C4⋊C4C22×D414yes—
1486C4⋊C4C22×D418yes—
1487C4⋊C4C22×D4116yes—
1488C4⋊C4C22×D418yes—
1489C4⋊C4C22×D4116yes—
1490C4⋊C4C22×D418yes—
1491C4⋊C42−1+414yes—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—41no—
1533C22⋊C4—42no—
1534C22⋊C4—41no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4C22×D418yes—
1554C22⋊C4C22×D4116yes—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—28no—
1562C42—28no—
1563C42—28no—
1564C42—24no—
1565C42—24no—
1566C42—28no—
1567C42—28no—
1568C42—28no—
1569C42—22no—
1570C42—22no—
1571C42—24no—
1572C42—24no—
1573C42—28no—
1574C42—22no—
1575C42—24no—
1576C42—22no—
1577C42—22no—
1578C42—42no—
1579C42—44no—
1580C42—42no—
1581C42—44no—
1582C42—42no—
1583C42—41no—
1584C42—42no—
1585C42—42no—
1586C42C22×D414yes—
1587C42C22×D418yes—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—21no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—21no—
1602C23—22no—
1603C23—21no—
1604C23—22no—
1605C23—21no—
1606C23—22no—
1607C23—21no—
1608C23—21no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—21no—
1613C23—21no—
1614C23—22no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23C23×D414yes—
1623C23C2611yescharacteristic
1624Q8—28no—
1625Q8—48no—
1626Q8—48no—
1627Q8—44no—
1628Q8—44no—
1629Q8—48no—
1630Q8—84no—
1631Q8—88no—
1632Q8—88no—
1633Q8—84no—
1634D4—28no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—84no—
1639D4—88no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—88no—
1647D4—84no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—216no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—416no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—44no—
1734C2×C4—82no—
1735C2×C4—82no—
1736C2×C4—88no—
1737C2×C4—88no—
1738C2×C4—88no—
1739C2×C4—84no—
1740C2×C4C23×D418yes—
1741C2×C4C23×D412yes—
1742C2×C4C23×D414yes—
1743C2×C4C23×D414yes—
1744C2×C4C23×D414yes—
1745C2×C4C23×D412yes—
1746C2×C4C23×D412yes—
1747C2×C4C2×2−1+414yes—
1748C2×C4C2×2−1+412yes—
1749C2×C4#58512yes—
1750C2×C4#58512yes—
1751C2×C4#58512yes—
1752C2×C4#58512yes—
1753C22—24no—
1754C22—24no—
1755C22—24no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—41no—
1765C22—41no—
1766C22—42no—
1767C22—42no—
1768C22—41no—
1769C22—42no—
1770C22—42no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—41no—
1786C22—42no—
1787C22—41no—
1788C22C24×D411yescharacteristic
1789C22C22×2−1+411yescharacteristic
1790C22C2×#58511yescharacteristic
1791C22C2×#58511yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C222−1+611yescharacteristic
1795C4—24no—
1796C4—28no—
1797C4—22no—
1798C4—22no—
1799C4—24no—
1800C4—24no—
1801C4—24no—
1802C4—41no—
1803C4—41no—
1804C4—42no—
1805C4—42no—
1806C4—44no—
1807C4—42no—
1808C4—41no—
1809C4—41no—
1810C4—42no—
1811C4—41no—
1812C4—44no—
1813C4—42no—
1814C4—41no—
1815C4—41no—
1816C4—42no—
1817C4—44no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—41no—
1823C4#349714yes—
1824C4#350014yes—
1825C2—44no—
1826C2—81no—
1827C2—81no—
1828C2—82no—
1829C2—82no—
1830C2#6276211yescharacteristic
1831C2C2×#349711yescharacteristic
1832C2C2×#350011yescharacteristic
1833C2#6293611yescharacteristic
1834C2#6295311yescharacteristic
1835C2#6298811yescharacteristic
1836C2#6302311yescharacteristic
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×#3555C2semidirect
2. C2×#3547C2semidirect
3. #59755C2semidirect
4. #59659C2semidirect
5. #59658C2semidirect
6. #59081C2semidirect
7. #59050C2semidirect
8. #51976C2semidirect
9. #51748C2semidirect
10. #45481C2semidirect
11. #45325C2semidirect
12. #45274C2semidirect
13. #45246C2semidirect
14. #45196C2semidirect
15. #42650C2semidirect
16. #42645C2semidirect
17. #42644C2semidirect
18. #42643C2semidirect
19. #39596C2semidirect
20. #39468C2semidirect
21. #39435C2semidirect
22. #39427C2semidirect
23. #39347C2semidirect
24. #39139C2semidirect
25. #38908C2semidirect
26. #36446C2semidirect
27. #36406C2semidirect
28. #36186C2semidirect
29. #36185C2semidirect
30. #36151C2semidirect
31. #35169C2semidirect
32. #35158C2semidirect
33. #34919C2semidirect
34. #34889C2semidirect
35. C4×#554C2semidirect
314. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C2×#35472
#597552
#596592
#596582
#590812
#590502
#519762
#517482
#454812
#453252
#452742
#452462
#451962
#426502
#426452
#426442
#426432
#395962
#394682
#394352
#394272
#393472
#391392
#389082
#364462
#364062
#361862
#361852
#361512
#351692
#351582
#349192
#348892
C4×#5542