Finite Group Databasebeta

← #7987498

Subgroups — #7987498

Order 512.

6744 conjugacy classes of subgroups.

The subgroup lattice has 1891 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3544C211yesmaximal, characteristic, complemented
3#59824C212yesmaximal, complemented
4#59813C212yesmaximal, complemented
5#59652C211yesmaximal, characteristic, complemented
6#59135C211yesmaximal, characteristic, complemented
7#59079C211yesmaximal, characteristic, complemented
8#51976C214yesmaximal, complemented
9#51746C214yesmaximal, complemented
10#45789C214yesmaximal, complemented
11#45247C212yesmaximal, complemented
12#45159C212yesmaximal, complemented
13#45157C212yesmaximal, complemented
14#45113C212yesmaximal, complemented
15#42650C212yesmaximal, complemented
16#42644C212yesmaximal, complemented
17#42424C212yesmaximal, complemented
18#42421C212yesmaximal, complemented
19#39469C211yesmaximal, characteristic, complemented
20#39439C212yesmaximal, complemented
21#39439C214yesmaximal, complemented
22#39366C212yesmaximal, complemented
23#39125C211yesmaximal, characteristic, complemented
24#39124C211yesmaximal, characteristic, complemented
25#38908C211yesmaximal, characteristic, complemented
26Q8×#124C211yesmaximal, characteristic, complemented
27#36424C212yesmaximal, complemented
28#36415C211yesmaximal, characteristic, complemented
29#36415C212yesmaximal, complemented
30#36129C211yesmaximal, characteristic, complemented
31#35169C212yesmaximal, complemented
32#35158C212yesmaximal, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36#3547—216no—
37#3544—216no—
38C2×#563C2214yes—
39C2×#562C2214yes—
40C2×Q82C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#555C2212yes—
44C2×#554C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×D4×Q8C2211yescharacteristic
51C2×#548C2212yes—
52C2×#547C2212yes—
53C2×#547C2212yes—
54C2×#547C2211yescharacteristic
55C2×#544C2212yes—
56C2×#544C2212yes—
57C2×#544C2212yes—
58C2×#542C2214yes—
59C2×#542C2212yes—
60C2×#542C2212yes—
61C2×#540C2212yes—
62C2×#537C2212yes—
63C2×#536C2214yes—
64C2×#536C2212yes—
65C2×#533C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C22×C4⋊Q8C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71#2862C2211yescharacteristic
72#2862C2212yes—
73#2857C2211yescharacteristic
74#2857C2211yescharacteristic
75#2854C2214yes—
76#2850C2212yes—
77#2850C2214yes—
78#2850C2214yes—
79#2814C2214yes—
80#2813C2214yes—
81#2731C2214yes—
82#2730C2214yes—
83#2728C2214yes—
84#2723C2214yes—
85#2721C2214yes—
86#2719C2214yes—
87#2716C2214yes—
88#2716C2214yes—
89#2716C2214yes—
90#2715C2214yes—
91#2715C2214yes—
92#2713C2214yes—
93#2713C2214yes—
94#2712C2214yes—
95#2712C2214yes—
96#2712C2214yes—
97#2707C2214yes—
98#2702C2214yes—
99#2696C2214yes—
100#2696C2214yes—
101#2696C2214yes—
102#2695C2214yes—
103#2693C2214yes—
104#2693C2214yes—
105#2693C2214yes—
106#2692C2214yes—
107#2692C2214yes—
108#2676C2214yes—
109#2676C2214yes—
110#2674C2214yes—
111#2673C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2663C2214yes—
115#2661C2214yes—
116#2639C2214yes—
117#2639C2214yes—
118#2628C2212yes—
119#2628C2212yes—
120#2625C2214yes—
121#2625C2212yes—
122#2615C2212yes—
123#2615C2214yes—
124#2568C2212yes—
125#2568C2211yescharacteristic
126#2563C2211yescharacteristic
127#2563C2212yes—
128#2563C2211yescharacteristic
129#2563C2212yes—
130#2560C2214yes—
131#2559C2212yes—
132#2559C2214yes—
133#2558C2214yes—
134#2557C2214yes—
135#2557C2214yes—
136#2557C2212yes—
137#2557C2214yes—
138#2557C2214yes—
139#2557C2214yes—
140#2557C2214yes—
141#2557C2214yes—
142#2556C2214yes—
143#2556C2214yes—
144#2555C2214yes—
145#2554C2212yes—
146#2554C2214yes—
147#2554C2214yes—
148#2554C2212yes—
149#2553C2214yes—
150#2552C2211yescharacteristic
151#2550C2212yes—
152#2550C2212yes—
153#2550C2211yescharacteristic
154#2548C2211yescharacteristic
155#2547C2212yes—
156#2547C2211yescharacteristic
157#2544C2211yescharacteristic
158#2541C2211yescharacteristic
159#2540C2212yes—
160#2540C2212yes—
161#2540C2211yescharacteristic
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2537C2211yescharacteristic
165#2536C2212yes—
166#2535C2212yes—
167#2535C2211yescharacteristic
168#2535C2212yes—
169#2535C2212yes—
170#2535C2212yes—
171#2535C2212yes—
172#2521C2212yes—
173#2512C2212yes—
174#2499C2214yes—
175#2499C2212yes—
176#2498C2214yes—
177#2492C2214yes—
178#2492C2214yes—
179#2492C2212yes—
180#2492C2214yes—
181#2492C2214yes—
182#2492C2212yes—
183#2492C2211yescharacteristic
184#2492C2212yes—
185#2491C2214yes—
186#2491C2212yes—
187#2491C2212yes—
188#2491C2212yes—
189#2490C2212yes—
190#2490C2211yescharacteristic
191#2490C2211yescharacteristic
192#2490C2211yescharacteristic
193#2490C2214yes—
194#2489C2214yes—
195#2489C2212yes—
196#2489C2212yes—
197#2489C2212yes—
198#2485C2212yes—
199#2477C2214yes—
200#2471C2214yes—
201#2467C2214yes—
202#2464C2212yes—
203#2460C2214yes—
204#2453C2212yes—
205#2451C2212yes—
206#2448C2212yes—
207#2446C2212yes—
208#2445C2212yes—
209#2442C2212yes—
210#2442C2212yes—
211#2442C2212yes—
212#2441C2212yes—
213#2439C2214yes—
214#2439C2212yes—
215#2439C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2436C2214yes—
219#2436C2212yes—
220#2431C2214yes—
221#2431C2212yes—
222#2430C2214yes—
223#2429C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2211yescharacteristic
227#2427C2214yes—
228#2427C2212yes—
229#2427C2211yescharacteristic
230#2427C2212yes—
231#2426C2214yes—
232#2426C2211yescharacteristic
233#2426C2211yescharacteristic
234#2421C2214yes—
235#2421C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2415C2212yes—
244#2415C2212yes—
245#2414C2212yes—
246#2409C2212yes—
247#2409C2212yes—
248#2407C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2392C2212yes—
252#2388C2212yes—
253#2370C2212yes—
254#2369C2211yescharacteristic
255#2368C2214yes—
256#2367C2212yes—
257#2363C2212yes—
258#2363C2214yes—
259#2360C2212yes—
260#2360C2212yes—
261#2355C2211yescharacteristic
262#2352C2212yes—
263#2352C2212yes—
264#2352C2212yes—
265#2352C2212yes—
266#2352C2212yes—
267#2352C2212yes—
268#2352C2212yes—
269#2349C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271#2345C2212yes—
272Q8×C22⋊C4C2212yes—
273Q8×C22⋊C4C2212yes—
274Q8×C22⋊C4C2212yes—
275#2324C2212yes—
276#2323C2212yes—
277#2311C2212yes—
278#2311C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2212yes—
282C4×#125C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2214yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2297C2214yes—
293#2297C2212yes—
294#2297C2212yes—
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C42×D4C2212yes—
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306#563—232no—
307#562—232no—
308Q82—28no—
309#555—28no—
310#555—28no—
311#555—216no—
312#554—28no—
313#554D4116yescomplemented
314#553—216no—
315#552—216no—
316#552—216no—
317#552—216no—
318D4×Q8—28no—
319#548—216no—
320#547—216no—
321#547—28no—
322#547—216no—
323#544—216no—
324#544—216no—
325#544—216no—
326#542—216no—
327#542—232no—
328#542—216no—
329#540—216no—
330#537—216no—
331#536—232no—
332#536—216no—
333#533—28no—
334#532—28no—
335C2×C4⋊Q8—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351C2×#127C2311yescharacteristic
352#529—28no—
353#529—28no—
354#529—28no—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2311yescharacteristic
380C2×#124C2312yes—
381C2×#124C2314yes—
382C2×#124C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2311yescharacteristic
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2314yes—
481C2×#117C2314yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C42C2311yescharacteristic
489C22×C42C2311yescharacteristic
490C22×C42C2312yes—
491C22×C42C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2312yes—
501#400C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2312yes—
505#399C2314yes—
506#398C2314yes—
507#398C2312yes—
508#398C2314yes—
509#398C2314yes—
510#398C2312yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#397C2312yes—
516#397C2312yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2312yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2312yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2312yes—
533#396C2312yes—
534#396C2312yes—
535#396C2312yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2312yes—
546#395C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2312yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2312yes—
580#393C2314yes—
581#392C2312yes—
582#392C2312yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2312yes—
590#392C2312yes—
591#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2314yes—
599#391C2311yescharacteristic
600#391C2312yes—
601#391C2312yes—
602#391C2314yes—
603#391C2314yes—
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2314yes—
607#391C2314yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2314yes—
612#391C2314yes—
613#391C2314yes—
614#391C2312yes—
615#391C2314yes—
616#391C2312yes—
617#391C2314yes—
618#391C2314yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2314yes—
637#390C2311yescharacteristic
638#390C2312yes—
639#390C2314yes—
640#390C2311yescharacteristic
641#390C2314yes—
642#390C2314yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2314yes—
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2312yes—
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2311yescharacteristic
758#382C2312yes—
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2314yes—
764#382C2314yes—
765#382C2311yescharacteristic
766#382C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2314yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C2×#95C2314yes—
843C43C2312yes—
844C43C2311yescharacteristic
845C2×#41—28no—
846C2×#41—216no—
847C2×#41—28no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—48no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—84no—
854C22×Q8—28no—
855C22×Q8—28no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—82no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2414yes—
864C22×Q8C2414yes—
865C22×Q8C2414yes—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2411yescharacteristic
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—28no—
911C4⋊Q8—24no—
912C4⋊Q8—216no—
913C4⋊Q8—216no—
914C4⋊Q8—216no—
915C4⋊Q8—28no—
916C4⋊Q8—24no—
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8C2×D418yes—
921#127—24no—
922#127—42no—
923#127—44no—
924#126—28no—
925#126—28no—
926#126—216no—
927#126—216no—
928#126—28no—
929#126—216no—
930#125—24no—
931#125—24no—
932#125—24no—
933#125—28no—
934#125—28no—
935#125—216no—
936#125—216no—
937#125—216no—
938#125C2×D4116yes—
939#124—24no—
940#124—24no—
941#124—216no—
942#124—24no—
943#124—28no—
944#124—216no—
945#124—216no—
946#124—216no—
947#124—216no—
948#124—24no—
949#124—44no—
950#124—84no—
951#124—84no—
952#123—216no—
953#123—216no—
954#123—28no—
955#123—28no—
956#123—216no—
957#123—216no—
958#123—28no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—216no—
963C22⋊Q8—24no—
964C22⋊Q8—24no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—28no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—44no—
980C22⋊Q8—44no—
981C22⋊Q8—42no—
982C22⋊Q8—82no—
983C22⋊Q8C2×D4116yes—
984C22⋊Q8C2×D4132yes—
985#121—24no—
986#121—24no—
987#121—28no—
988#121—28no—
989#121—216no—
990#121—216no—
991#121—28no—
992#121—24no—
993#121—24no—
994#121—24no—
995#121—28no—
996#121—216no—
997#121—28no—
998#121—28no—
999#121—216no—
1000#121—44no—
1001#121—44no—
1002#121—42no—
1003#121—44no—
1004#121—42no—
1005#121—42no—
1006#121—48no—
1007#121—84no—
1008#121—84no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—42no—
1015C4×Q8—42no—
1016C4×Q8—82no—
1017C4×Q8C2×D418yes—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—216no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—44no—
1032C4×D4—42no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—42no—
1038C4×D4—42no—
1039C4×D4C2×D418yes—
1040C4×D4C2×D4116yes—
1041#117—28no—
1042#117—216no—
1043#117—28no—
1044#117—28no—
1045#117—216no—
1046#117—28no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051C2×C4⋊C4—28no—
1052C2×C4⋊C4—28no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—44no—
1056C2×C4⋊C4C2×D4116yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C42—24no—
1189C2×C42—24no—
1190C2×C42—44no—
1191C2×C42—84no—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2414yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2414yes—
1213C2×C42C2414yes—
1214C2×C42C2414yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222#95C2412yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2411yescharacteristic
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2414yes—
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#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276C24C2512yes—
1277C24C2512yes—
1278C24C2512yes—
1279C24C2511yescharacteristic
1280C24C2512yes—
1281C24C2511yescharacteristic
1282#41—816no—
1283#41—816no—
1284#41—832no—
1285C2×Q8—22no—
1286C2×Q8—24no—
1287C2×Q8—28no—
1288C2×Q8—28no—
1289C2×Q8—24no—
1290C2×Q8—28no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—42no—
1299C2×Q8—42no—
1300C2×Q8—42no—
1301C2×Q8—44no—
1302C2×Q8—44no—
1303C2×Q8—44no—
1304C2×Q8—44no—
1305C2×Q8—42no—
1306C2×Q8—44no—
1307C2×Q8—42no—
1308C2×Q8—44no—
1309C2×Q8—42no—
1310C2×Q8—816no—
1311C2×Q8—816no—
1312C2×Q8C22×D414yes—
1313C2×Q8C22×D418yes—
1314C2×D4—24no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—28no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—28no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—24no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—41no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4C22×D414yes—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—28no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—28no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—28no—
1407C22×C4—28no—
1408C22×C4—28no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—44no—
1412C22×C4—41no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—41no—
1419C22×C4—44no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—41no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4C22×D418yes—
1430C22×C4C22×D4116yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2514yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2514yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2514yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—44no—
1498C4⋊C4—41no—
1499C4⋊C4—41no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4C22×D414yes—
1515C4⋊C4C22×D418yes—
1516C4⋊C4C22×D418yes—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D4116yes—
1519C4⋊C4C22×D4116yes—
1520C4⋊C4C22×D418yes—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4C22×D4116yes—
1590C22⋊C4C22×D418yes—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—28no—
1598C42—28no—
1599C42—28no—
1600C42—24no—
1601C42—28no—
1602C42—22no—
1603C42—24no—
1604C42—22no—
1605C42—24no—
1606C42—22no—
1607C42—42no—
1608C42—42no—
1609C42—42no—
1610C42—44no—
1611C42—44no—
1612C42—44no—
1613C42—41no—
1614C42—42no—
1615C42—42no—
1616C42—41no—
1617C42—42no—
1618C42C22×D414yes—
1619C42C22×D418yes—
1620C422−1+414yes—
1621C23—21no—
1622C23—21no—
1623C23—22no—
1624C23—21no—
1625C23—22no—
1626C23—21no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—21no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—21no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—22no—
1657C23—21no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23C23×D414yes—
1662C23#58512yes—
1663C23C2611yescharacteristic
1664Q8—28no—
1665Q8—48no—
1666Q8—44no—
1667Q8—48no—
1668Q8—88no—
1669Q8—84no—
1670Q8—88no—
1671Q8—88no—
1672Q8—84no—
1673D4—28no—
1674D4—44no—
1675D4—48no—
1676D4—48no—
1677D4—44no—
1678D4—44no—
1679D4—44no—
1680D4—88no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—88no—
1688D4—84no—
1689D4—84no—
1690D4—88no—
1691D4—84no—
1692D4—84no—
1693D4—164no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—216no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—24no—
1768C2×C4—21no—
1769C2×C4—416no—
1770C2×C4—44no—
1771C2×C4—416no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—44no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—82no—
1781C2×C4—88no—
1782C2×C4—88no—
1783C2×C4—88no—
1784C2×C4—84no—
1785C2×C4—88no—
1786C2×C4C23×D414yes—
1787C2×C4C23×D412yes—
1788C2×C4C23×D414yes—
1789C2×C4C23×D418yes—
1790C2×C4C23×D414yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D412yes—
1793C2×C4C2×2−1+412yes—
1794C2×C4C2×2−1+412yes—
1795C2×C4C2×2−1+412yes—
1796C2×C4#58512yes—
1797C2×C4#58512yes—
1798C2×C4#58512yes—
1799C22—22no—
1800C22—24no—
1801C22—22no—
1802C22—22no—
1803C22—24no—
1804C22—24no—
1805C22—42no—
1806C22—42no—
1807C22—41no—
1808C22—41no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—41no—
1813C22—42no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—41no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—41no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—41no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22C24×D411yescharacteristic
1842C22C22×2−1+411yescharacteristic
1843C22C2×#58511yescharacteristic
1844C22C2×#58511yescharacteristic
1845C22C2×#58511yescharacteristic
1846C22C2×#58511yescharacteristic
1847C22H(7,𝔽2)11yescharacteristic
1848C4—28no—
1849C4—24no—
1850C4—22no—
1851C4—22no—
1852C4—24no—
1853C4—24no—
1854C4—22no—
1855C4—44no—
1856C4—41no—
1857C4—42no—
1858C4—41no—
1859C4—41no—
1860C4—42no—
1861C4—42no—
1862C4—41no—
1863C4—42no—
1864C4—41no—
1865C4—42no—
1866C4—42no—
1867C4—41no—
1868C4—41no—
1869C4—42no—
1870C4—44no—
1871C4—42no—
1872C4—42no—
1873C4—44no—
1874C4—41no—
1875C4#349714yes—
1876C4#350014yes—
1877C2—42no—
1878C2—44no—
1879C2—82no—
1880C2—81no—
1881C2—82no—
1882C2—82no—
1883C2#6275211yescharacteristic
1884C2C2×#349711yescharacteristic
1885C2C2×#350011yescharacteristic
1886C2#6292611yescharacteristic
1887C2#6293811yescharacteristic
1888C2#6298711yescharacteristic
1889C2#6302811yescharacteristic
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×#3547C2semidirect
2. C2×#3544C2semidirect
3. #59824C2semidirect
4. #59813C2semidirect
5. #59652C2semidirect
6. #59135C2semidirect
7. #59079C2semidirect
8. #51976C2semidirect
9. #51746C2semidirect
10. #45789C2semidirect
11. #45247C2semidirect
12. #45159C2semidirect
13. #45157C2semidirect
14. #45113C2semidirect
15. #42650C2semidirect
16. #42644C2semidirect
17. #42424C2semidirect
18. #42421C2semidirect
19. #39469C2semidirect
20. #39439C2semidirect
21. #39439C2semidirect
22. #39366C2semidirect
23. #39125C2semidirect
24. #39124C2semidirect
25. #38908C2semidirect
26. Q8×#124C2semidirect
27. #36424C2semidirect
28. #36415C2semidirect
29. #36415C2semidirect
30. #36129C2semidirect
31. #35169C2semidirect
32. #35158C2semidirect
33. #34934C2semidirect
34. #34889C2semidirect
35. C4×#554C2semidirect
313. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#35442
#598242
#598132
#596522
#591352
#590792
#519762
#517462
#457892
#452472
#451592
#451572
#451132
#426502
#426442
#424242
#424212
#394692
#394392
#393662
#391252
#391242
#389082
Q8×#1242
#364242
#364152
#361292
#351692
#351582
#349342
#348892
C4×#5542