Finite Group Databasebeta

← #7987512

Subgroups — #7987512

Order 512.

6725 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3548C211yesmaximal, characteristic, complemented
2C2×#3555C211yesmaximal, characteristic, complemented
3#59833C212yesmaximal, complemented
4#59811C212yesmaximal, complemented
5#59655C211yesmaximal, characteristic, complemented
6#59084C211yesmaximal, characteristic, complemented
7#59079C211yesmaximal, characteristic, complemented
8#51974C214yesmaximal, complemented
9#51748C214yesmaximal, complemented
10#45789C214yesmaximal, complemented
11#45296C212yesmaximal, complemented
12#45258C212yesmaximal, complemented
13#45195C212yesmaximal, complemented
14#45175C212yesmaximal, complemented
15#42645C212yesmaximal, complemented
16#42643C212yesmaximal, complemented
17#42429C212yesmaximal, complemented
18#42423C212yesmaximal, complemented
19#39725C211yesmaximal, characteristic, complemented
20#39724C211yesmaximal, characteristic, complemented
21#39468C211yesmaximal, characteristic, complemented
22#39437C212yesmaximal, complemented
23#39437C214yesmaximal, complemented
24#39382C212yesmaximal, complemented
25#38909C211yesmaximal, characteristic, complemented
26#36583C211yesmaximal, characteristic, complemented
27#36424C212yesmaximal, complemented
28#36419C211yesmaximal, characteristic, complemented
29#36419C212yesmaximal, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35169C212yesmaximal, complemented
32#35158C212yesmaximal, complemented
33#34929C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36#3555—216no—
37#3548—216no—
38C2×#563C2214yes—
39C2×#562C2214yes—
40C2×Q82C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#557C2212yes—
43C2×#556C2211yescharacteristic
44C2×#556C2212yes—
45C2×#556C2212yes—
46C2×#554C2211yescharacteristic
47C2×#554C2212yes—
48C2×#554C2211yescharacteristic
49C2×#552C2212yes—
50C2×#550C2211yescharacteristic
51C2×#550C2212yes—
52C2×#550C2211yescharacteristic
53C2×#547C2212yes—
54C2×#547C2212yes—
55C2×#544C2212yes—
56C2×#542C2212yes—
57C2×#541C2214yes—
58C2×#541C2212yes—
59C2×#541C2212yes—
60C2×#540C2212yes—
61C2×#540C2212yes—
62C2×#537C2214yes—
63C2×#537C2212yes—
64C2×#537C2212yes—
65C2×#533C2211yescharacteristic
66C2×#533C2211yescharacteristic
67C2×#533C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C2×#532C2211yescharacteristic
70C2×#529C2211yescharacteristic
71#2858C2211yescharacteristic
72#2858C2212yes—
73#2857C2211yescharacteristic
74#2856C2211yescharacteristic
75#2854C2214yes—
76#2850C2212yes—
77#2850C2214yes—
78#2850C2214yes—
79#2814C2214yes—
80#2813C2214yes—
81#2731C2214yes—
82#2729C2214yes—
83#2728C2214yes—
84#2723C2214yes—
85#2720C2214yes—
86#2719C2214yes—
87#2715C2214yes—
88#2714C2214yes—
89#2714C2214yes—
90#2711C2214yes—
91#2711C2214yes—
92#2711C2214yes—
93#2707C2214yes—
94#2702C2214yes—
95#2695C2214yes—
96#2695C2214yes—
97#2694C2214yes—
98#2694C2214yes—
99#2691C2214yes—
100#2691C2214yes—
101#2691C2214yes—
102#2691C2214yes—
103#2691C2214yes—
104#2691C2214yes—
105#2690C2214yes—
106#2690C2214yes—
107#2690C2214yes—
108#2677C2214yes—
109#2676C2214yes—
110#2676C2214yes—
111#2676C2214yes—
112#2674C2214yes—
113#2671C2214yes—
114#2663C2214yes—
115#2661C2214yes—
116#2639C2214yes—
117#2639C2214yes—
118#2624C2214yes—
119#2624C2212yes—
120#2621C2212yes—
121#2619C2212yes—
122#2616C2212yes—
123#2616C2214yes—
124#2582C2211yescharacteristic
125#2581C2212yes—
126#2580C2212yes—
127#2568C2212yes—
128#2568C2211yescharacteristic
129#2560C2214yes—
130#2559C2214yes—
131#2559C2214yes—
132#2559C2212yes—
133#2559C2214yes—
134#2559C2214yes—
135#2559C2214yes—
136#2559C2214yes—
137#2559C2214yes—
138#2558C2214yes—
139#2557C2212yes—
140#2557C2214yes—
141#2556C2212yes—
142#2556C2214yes—
143#2556C2214yes—
144#2556C2212yes—
145#2555C2214yes—
146#2554C2214yes—
147#2554C2214yes—
148#2553C2214yes—
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2212yes—
152#2550C2211yescharacteristic
153#2548C2211yescharacteristic
154#2548C2212yes—
155#2548C2212yes—
156#2548C2211yescharacteristic
157#2547C2211yescharacteristic
158#2547C2212yes—
159#2546C2211yescharacteristic
160#2544C2212yes—
161#2544C2211yescharacteristic
162#2544C2212yes—
163#2544C2212yes—
164#2544C2212yes—
165#2542C2211yescharacteristic
166#2540C2212yes—
167#2540C2212yes—
168#2540C2211yescharacteristic
169#2538C2211yescharacteristic
170#2538C2211yescharacteristic
171#2535C2211yescharacteristic
172#2521C2212yes—
173#2506C2212yes—
174#2500C2214yes—
175#2500C2212yes—
176#2498C2214yes—
177#2492C2212yes—
178#2492C2211yescharacteristic
179#2492C2211yescharacteristic
180#2492C2211yescharacteristic
181#2492C2214yes—
182#2491C2214yes—
183#2491C2212yes—
184#2491C2212yes—
185#2491C2212yes—
186#2490C2214yes—
187#2490C2214yes—
188#2490C2212yes—
189#2490C2214yes—
190#2490C2214yes—
191#2490C2212yes—
192#2490C2211yescharacteristic
193#2490C2212yes—
194#2489C2214yes—
195#2489C2212yes—
196#2489C2212yes—
197#2489C2212yes—
198#2485C2212yes—
199#2481C2214yes—
200#2473C2214yes—
201#2465C2214yes—
202#2464C2212yes—
203#2458C2214yes—
204#2454C2212yes—
205#2454C2212yes—
206#2453C2212yes—
207#2453C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2452C2212yes—
211#2452C2212yes—
212#2451C2212yes—
213#2448C2212yes—
214#2446C2212yes—
215#2442C2214yes—
216#2442C2212yes—
217#2440C2212yes—
218#2432C2214yes—
219#2432C2214yes—
220#2432C2212yes—
221#2432C2212yes—
222#2430C2214yes—
223#2429C2214yes—
224#2429C2212yes—
225#2429C2211yescharacteristic
226#2429C2211yescharacteristic
227#2428C2211yescharacteristic
228#2428C2212yes—
229#2427C2212yes—
230#2427C2212yes—
231#2427C2211yescharacteristic
232#2427C2212yes—
233#2427C2212yes—
234#2426C2212yes—
235#2426C2214yes—
236#2426C2212yes—
237#2426C2212yes—
238#2426C2212yes—
239#2426C2212yes—
240#2421C2214yes—
241#2421C2212yes—
242#2417C2212yes—
243#2416C2212yes—
244#2415C2212yes—
245#2414C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2396C2212yes—
250#2396C2212yes—
251#2395C2212yes—
252#2388C2212yes—
253#2370C2212yes—
254#2369C2211yescharacteristic
255#2368C2214yes—
256#2367C2212yes—
257#2367C2212yes—
258#2367C2212yes—
259#2367C2212yes—
260#2367C2212yes—
261#2367C2212yes—
262#2367C2212yes—
263#2363C2212yes—
264#2360C2212yes—
265#2360C2214yes—
266#2360C2212yes—
267#2355C2211yescharacteristic
268#2352C2212yes—
269#2349C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271#2345C2212yes—
272#2341C2212yes—
273#2341C2212yes—
274#2341C2212yes—
275#2324C2212yes—
276#2323C2212yes—
277#2311C2212yes—
278#2311C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2212yes—
282C4×#125C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2214yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
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×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2314yes—
306#563—232no—
307#562—232no—
308Q82—28no—
309#557—216no—
310#557—28no—
311#556—216no—
312#556—216no—
313#556—28no—
314#554—28no—
315#554—216no—
316#554D4116yescomplemented
317#552—216no—
318#550—28no—
319#550—216no—
320#550—28no—
321#547—216no—
322#547—216no—
323#544—216no—
324#542—216no—
325#541—216no—
326#541—216no—
327#541—232no—
328#540—216no—
329#540—216no—
330#537—232no—
331#537—216no—
332#537—216no—
333#533—28no—
334#533—28no—
335#533—28no—
336#532—28no—
337#532—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×#127C2311yescharacteristic
353C2×#127C2312yes—
354C2×#127C2311yescharacteristic
355C2×#127C2312yes—
356#529—28no—
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2314yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#124C2312yes—
377C2×#124C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2314yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#124C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2314yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2314yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2314yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C42C2311yescharacteristic
489C22×C42C2311yescharacteristic
490C22×C42C2312yes—
491C22×C42C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2312yes—
497#400C2314yes—
498#400C2314yes—
499#400C2312yes—
500#400C2312yes—
501#400C2314yes—
502#399C2314yes—
503#399C2312yes—
504#399C2314yes—
505#399C2312yes—
506#399C2312yes—
507#399C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2312yes—
528#397C2312yes—
529#397C2312yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#396C2312yes—
534#396C2312yes—
535#396C2312yes—
536#396C2312yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#395C2314yes—
545#395C2312yes—
546#395C2314yes—
547#395C2312yes—
548#395C2312yes—
549#395C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#393C2312yes—
581#393C2314yes—
582#393C2312yes—
583#393C2314yes—
584#393C2314yes—
585#393C2312yes—
586#393C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2312yes—
590#392C2312yes—
591#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#391C2314yes—
595#391C2311yescharacteristic
596#391C2312yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2314yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2314yes—
610#391C2312yes—
611#391C2311yescharacteristic
612#391C2314yes—
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2312yes—
616#391C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2314yes—
634#390C2314yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2314yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2314yes—
649#390C2312yes—
650#390C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2314yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2311yescharacteristic
675#389C2314yes—
676#389C2312yes—
677#389C2311yescharacteristic
678#389C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#384C2311yescharacteristic
764#384C2311yescharacteristic
765#384C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2314yes—
769#382C2314yes—
770#382C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2314yes—
787#380C2311yescharacteristic
788#380C2314yes—
789#380C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C2×#95C2314yes—
843C43C2312yes—
844C43C2311yescharacteristic
845C2×#41—28no—
846C2×#41—28no—
847C2×#41—28no—
848C2×#41—216no—
849C2×#41—28no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—48no—
857C2×#41—44no—
858C2×#41—84no—
859C2×#41—82no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2414yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2414yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2414yes—
904C4⋊Q8—24no—
905C4⋊Q8—24no—
906C4⋊Q8—216no—
907C4⋊Q8—24no—
908C4⋊Q8—24no—
909C4⋊Q8—24no—
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8—216no—
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—42no—
916C4⋊Q8—44no—
917C4⋊Q8C2×D418yes—
918#127—24no—
919#127—28no—
920#127—24no—
921#127—28no—
922#126—216no—
923#126—216no—
924#126—28no—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—216no—
929#125—24no—
930#125—28no—
931#125—28no—
932#125—28no—
933#125—28no—
934#125—216no—
935#125—216no—
936#125—216no—
937#125—216no—
938#125—216no—
939#125—28no—
940#125C2×D4116yes—
941#124—28no—
942#124—24no—
943#124—28no—
944#124—28no—
945#124—216no—
946#124—28no—
947#124—24no—
948#124—44no—
949#124—44no—
950#124—44no—
951#124—44no—
952#124—84no—
953#124—84no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—216no—
958#123—28no—
959#123—216no—
960C22⋊Q8—24no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—48no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980C22⋊Q8—42no—
981C22⋊Q8—42no—
982C22⋊Q8—42no—
983C22⋊Q8—84no—
984C22⋊Q8C2×D4116yes—
985C22⋊Q8C2×D4132yes—
986#121—24no—
987#121—24no—
988#121—216no—
989#121—28no—
990#121—216no—
991#121—28no—
992#121—24no—
993#121—28no—
994#121—216no—
995#121—216no—
996#121—28no—
997#121—216no—
998#121—28no—
999#121—216no—
1000#121—216no—
1001#121—216no—
1002#121—216no—
1003#121—44no—
1004#121—44no—
1005#121—42no—
1006#121—44no—
1007#121—84no—
1008#121—82no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—216no—
1014C4×Q8—28no—
1015C4×Q8—28no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—24no—
1019C4×Q8—28no—
1020C4×Q8—24no—
1021C4×Q8—28no—
1022C4×Q8—42no—
1023C4×Q8—42no—
1024C4×Q8—82no—
1025C4×Q8C2×D418yes—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—44no—
1037C4×D4—42no—
1038C4×D4—44no—
1039C4×D4—42no—
1040C4×D4—42no—
1041C4×D4C2×D418yes—
1042C4×D4C2×D4116yes—
1043#117—28no—
1044#117—216no—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—28no—
1049C2×C4⋊C4—216no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4—44no—
1052C2×C4⋊C4C2×D4116yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C42—24no—
1187C2×C42—24no—
1188C2×C42—44no—
1189C2×C42—84no—
1190C2×C42C2414yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2414yes—
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#95C2411yescharacteristic
1227#95C2412yes—
1228#95C2412yes—
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2411yescharacteristic
1242#95C2412yes—
1243#95C2412yes—
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2414yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276C24C2511yescharacteristic
1277C24C2514yes—
1278C24C2512yes—
1279C24C2511yescharacteristic
1280C24C2512yes—
1281#41—816no—
1282#41—816no—
1283#41—816no—
1284#41—832no—
1285#41—816no—
1286C2×Q8—22no—
1287C2×Q8—24no—
1288C2×Q8—22no—
1289C2×Q8—24no—
1290C2×Q8—22no—
1291C2×Q8—24no—
1292C2×Q8—28no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—42no—
1306C2×Q8—42no—
1307C2×Q8—42no—
1308C2×Q8—44no—
1309C2×Q8—44no—
1310C2×Q8—42no—
1311C2×Q8—42no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8C22×D414yes—
1315C2×Q8C22×D418yes—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—28no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—28no—
1327C2×D4—28no—
1328C2×D4—28no—
1329C2×D4—24no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4C22×D414yes—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—28no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—28no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—28no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—41no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—41no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—41no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4C22×D418yes—
1417C22×C4C22×D4116yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2514yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2514yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—44no—
1492C4⋊C4—41no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4C22×D418yes—
1511C4⋊C4C22×D4116yes—
1512C4⋊C4C22×D414yes—
1513C4⋊C4C22×D4116yes—
1514C4⋊C4C22×D414yes—
1515C4⋊C4C22×D418yes—
1516C4⋊C4C22×D418yes—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4C22×D4116yes—
1580C22⋊C4C22×D418yes—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—28no—
1588C42—24no—
1589C42—24no—
1590C42—24no—
1591C42—28no—
1592C42—28no—
1593C42—28no—
1594C42—22no—
1595C42—24no—
1596C42—22no—
1597C42—24no—
1598C42—22no—
1599C42—42no—
1600C42—42no—
1601C42—42no—
1602C42—44no—
1603C42—44no—
1604C42—44no—
1605C42—41no—
1606C42—42no—
1607C42—42no—
1608C42—41no—
1609C42—42no—
1610C42C22×D414yes—
1611C42C22×D418yes—
1612C422−1+414yes—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—21no—
1620C23—21no—
1621C23—24no—
1622C23—22no—
1623C23—24no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—22no—
1630C23—24no—
1631C23—21no—
1632C23—24no—
1633C23—22no—
1634C23—21no—
1635C23—24no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—22no—
1640C23—22no—
1641C23—24no—
1642C23—21no—
1643C23—22no—
1644C23—21no—
1645C23—24no—
1646C23—21no—
1647C23C23×D414yes—
1648C23C2611yescharacteristic
1649Q8—28no—
1650Q8—48no—
1651Q8—48no—
1652Q8—48no—
1653Q8—44no—
1654Q8—44no—
1655Q8—44no—
1656Q8—88no—
1657Q8—84no—
1658Q8—84no—
1659D4—28no—
1660D4—48no—
1661D4—44no—
1662D4—48no—
1663D4—44no—
1664D4—48no—
1665D4—88no—
1666D4—88no—
1667D4—84no—
1668D4—84no—
1669D4—88no—
1670D4—84no—
1671D4—88no—
1672D4—84no—
1673D4—84no—
1674D4—88no—
1675D4—84no—
1676D4—164no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—216no—
1694C2×C4—21no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—416no—
1755C2×C4—416no—
1756C2×C4—44no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—48no—
1762C2×C4—44no—
1763C2×C4—82no—
1764C2×C4—88no—
1765C2×C4—88no—
1766C2×C4—88no—
1767C2×C4—84no—
1768C2×C4—88no—
1769C2×C4C23×D414yes—
1770C2×C4C23×D412yes—
1771C2×C4C23×D414yes—
1772C2×C4C23×D418yes—
1773C2×C4C23×D414yes—
1774C2×C4C23×D412yes—
1775C2×C4C23×D412yes—
1776C2×C4C2×2−1+412yes—
1777C2×C4C2×2−1+412yes—
1778C2×C4C2×2−1+412yes—
1779C2×C4#58512yes—
1780C2×C4#58512yes—
1781C2×C4#58512yes—
1782C2×C4#58512yes—
1783C22—24no—
1784C22—24no—
1785C22—24no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—41no—
1791C22—44no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—44no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—44no—
1802C22—41no—
1803C22—41no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—41no—
1808C22—41no—
1809C22—44no—
1810C22—44no—
1811C22—42no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—44no—
1816C22—41no—
1817C22—42no—
1818C22C24×D411yescharacteristic
1819C22C22×2−1+411yescharacteristic
1820C22C2×#58511yescharacteristic
1821C22C2×#58511yescharacteristic
1822C22C2×#58511yescharacteristic
1823C22C2×#58511yescharacteristic
1824C22H(7,𝔽2)11yescharacteristic
1825C4—22no—
1826C4—28no—
1827C4—24no—
1828C4—22no—
1829C4—22no—
1830C4—24no—
1831C4—24no—
1832C4—22no—
1833C4—42no—
1834C4—41no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—41no—
1839C4—42no—
1840C4—41no—
1841C4—41no—
1842C4—44no—
1843C4—42no—
1844C4—41no—
1845C4—42no—
1846C4—41no—
1847C4—42no—
1848C4—42no—
1849C4—42no—
1850C4—41no—
1851C4—42no—
1852C4—44no—
1853C4#349714yes—
1854C4#350014yes—
1855C2—44no—
1856C2—81no—
1857C2—84no—
1858C2—82no—
1859C2—81no—
1860C2#6276111yescharacteristic
1861C2C2×#349711yescharacteristic
1862C2C2×#350011yescharacteristic
1863C2#6292611yescharacteristic
1864C2#6296911yescharacteristic
1865C2#6298711yescharacteristic
1866C2#6303111yescharacteristic
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×#3548C2semidirect
2. C2×#3555C2semidirect
3. #59833C2semidirect
4. #59811C2semidirect
5. #59655C2semidirect
6. #59084C2semidirect
7. #59079C2semidirect
8. #51974C2semidirect
9. #51748C2semidirect
10. #45789C2semidirect
11. #45296C2semidirect
12. #45258C2semidirect
13. #45195C2semidirect
14. #45175C2semidirect
15. #42645C2semidirect
16. #42643C2semidirect
17. #42429C2semidirect
18. #42423C2semidirect
19. #39725C2semidirect
20. #39724C2semidirect
21. #39468C2semidirect
22. #39437C2semidirect
23. #39437C2semidirect
24. #39382C2semidirect
25. #38909C2semidirect
26. #36583C2semidirect
27. #36424C2semidirect
28. #36419C2semidirect
29. #36419C2semidirect
30. #36150C2semidirect
31. #35169C2semidirect
32. #35158C2semidirect
33. #34929C2semidirect
34. #34889C2semidirect
35. C4×#554C2semidirect
316. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35482
C2×#35552
#598332
#598112
#596552
#590842
#590792
#519742
#517482
#457892
#452962
#452582
#451952
#451752
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