Finite Group Databasebeta

← #7677703

Subgroups — #7677703

Order 512.

7052 conjugacy classes of subgroups.

The subgroup lattice has 1671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59806C212yesmaximal, complemented
4#59409C212yesmaximal, complemented
5#59318C212yesmaximal, complemented
6#59141C214yesmaximal, complemented
7#59125C212yesmaximal, complemented
8#59063C214yesmaximal, complemented
9#45389C211yesmaximal, characteristic, complemented
10#45387C211yesmaximal, characteristic, complemented
11#45338C211yesmaximal, characteristic, complemented
12#45143C211yesmaximal, characteristic, complemented
13#45141C211yesmaximal, characteristic, complemented
14#45141C211yesmaximal, characteristic, complemented
15#45138C211yesmaximal, characteristic, complemented
16#45137C211yesmaximal, characteristic, complemented
17#44843C214yesmaximal, complemented
18#44778C214yesmaximal, complemented
19#39847C214yesmaximal, complemented
20#38369C214yesmaximal, complemented
21#38363C214yesmaximal, complemented
22#36217C214yesmaximal, complemented
23#35654C212yesmaximal, complemented
24#35636C212yesmaximal, complemented
25#35245C211yesmaximal, characteristic, complemented
26#35155C212yesmaximal, complemented
27#34971C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34289C212yesmaximal, complemented
30#34222C211yesmaximal, characteristic, complemented
31C2×#2327C211yesmaximal, characteristic, complemented
32#3522—216no—
33#3480—216no—
34C2×#559C2211yescharacteristic
35C2×#559C2212yes—
36C2×#559C2211yescharacteristic
37C2×#559C2212yes—
38C2×Q82C2211yescharacteristic
39C2×#557C2211yescharacteristic
40C2×#556C2211yescharacteristic
41C2×#556C2212yes—
42C2×#554C2211yescharacteristic
43C2×#554C2212yes—
44C2×#553C2214yes—
45C2×#553C2212yes—
46C2×#550C2211yescharacteristic
47C2×#550C2211yescharacteristic
48C2×#548C2212yes—
49C2×#548C2212yes—
50C2×#547C2212yes—
51C2×#547C2214yes—
52C2×#547C2212yes—
53C2×#542C2214yes—
54C2×#542C2212yes—
55C2×#532C2212yes—
56C2×#532C2212yes—
57C2×#532C2211yescharacteristic
58C22×C4⋊Q8C2211yescharacteristic
59C2×#529C2212yes—
60C2×#529C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2214yes—
63C2×#520C2212yes—
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2212yes—
66C2×C4×#41C2212yes—
67C22×C4×Q8C2211yescharacteristic
68C22×C4×Q8C2211yescharacteristic
69#2855C2214yes—
70#2853C2214yes—
71#2853C2214yes—
72#2734C2214yes—
73#2731C2214yes—
74#2730C2214yes—
75#2729C2214yes—
76#2721C2214yes—
77#2719C2214yes—
78#2717C2214yes—
79#2717C2214yes—
80#2716C2214yes—
81#2713C2214yes—
82#2710C2214yes—
83#2709C2214yes—
84#2709C2214yes—
85#2706C2214yes—
86#2700C2214yes—
87#2698C2214yes—
88#2689C2214yes—
89#2687C2214yes—
90#2686C2214yes—
91#2686C2214yes—
92#2674C2214yes—
93#2674C2214yes—
94#2673C2214yes—
95#2673C2214yes—
96#2638C2214yes—
97#2634C2212yes—
98#2632C2212yes—
99#2630C2214yes—
100#2611C2212yes—
101#2610C2212yes—
102#2604C2212yes—
103#2604C2214yes—
104#2603C2212yes—
105#2602C2214yes—
106#2600C2214yes—
107#2599C2214yes—
108#2591C2212yes—
109#2583C2212yes—
110#2581C2211yescharacteristic
111#2581C2211yescharacteristic
112#2581C2211yescharacteristic
113#2581C2211yescharacteristic
114#2579C2214yes—
115#2564C2214yes—
116#2564C2212yes—
117#2557C2214yes—
118#2557C2214yes—
119#2553C2214yes—
120#2553C2214yes—
121#2550C2212yes—
122#2549C2214yes—
123#2547C2212yes—
124#2543C2212yes—
125#2543C2214yes—
126#2542C2212yes—
127#2536C2211yescharacteristic
128#2536C2211yescharacteristic
129#2536C2211yescharacteristic
130#2536C2211yescharacteristic
131#2535C2212yes—
132#2521C2214yes—
133#2521C2214yes—
134#2499C2214yes—
135#2498C2214yes—
136#2498C2212yes—
137#2496C2214yes—
138#2492C2212yes—
139#2491C2214yes—
140#2489C2212yes—
141#2488C2214yes—
142#2488C2214yes—
143#2487C2212yes—
144#2486C2212yes—
145#2485C2214yes—
146#2484C2214yes—
147#2484C2212yes—
148#2478C2214yes—
149#2478C2214yes—
150#2474C2214yes—
151#2470C2214yes—
152#2469C2214yes—
153#2468C2214yes—
154#2467C2214yes—
155#2466C2214yes—
156#2462C2214yes—
157#2460C2214yes—
158#2459C2214yes—
159#2457C2214yes—
160#2453C2212yes—
161#2451C2212yes—
162#2447C2212yes—
163#2447C2212yes—
164#2446C2214yes—
165#2446C2214yes—
166#2444C2214yes—
167#2444C2214yes—
168#2444C2214yes—
169#2444C2214yes—
170#2443C2214yes—
171#2443C2214yes—
172#2443C2214yes—
173#2443C2214yes—
174#2442C2212yes—
175#2440C2214yes—
176#2439C2212yes—
177#2432C2212yes—
178#2432C2212yes—
179#2430C2214yes—
180#2430C2214yes—
181#2430C2212yes—
182#2429C2212yes—
183#2429C2212yes—
184#2427C2212yes—
185#2427C2212yes—
186#2425C2214yes—
187#2425C2214yes—
188#2423C2214yes—
189#2421C2214yes—
190#2420C2212yes—
191#2420C2212yes—
192#2419C2214yes—
193#2419C2214yes—
194#2419C2214yes—
195#2419C2214yes—
196#2419C2214yes—
197#2419C2214yes—
198#2417C2212yes—
199#2416C2214yes—
200#2415C2212yes—
201#2409C2212yes—
202#2409C2212yes—
203#2407C2212yes—
204#2407C2212yes—
205#2406C2212yes—
206#2399C2212yes—
207#2399C2211yescharacteristic
208#2398C2211yescharacteristic
209#2398C2211yescharacteristic
210#2398C2212yes—
211#2397C2211yescharacteristic
212#2372C2214yes—
213#2365C2212yes—
214#2364C2214yes—
215#2364C2214yes—
216#2362C2212yes—
217#2360C2212yes—
218#2359C2214yes—
219#2359C2214yes—
220#2353C2214yes—
221#2352C2212yes—
222#2349C2212yes—
223#2349C2214yes—
224D4×C4⋊C4C2214yes—
225#2344C2214yes—
226#2339C2214yes—
227#2339C2214yes—
228#2339C2212yes—
229#2339C2212yes—
230#2339C2214yes—
231#2331C2211yescharacteristic
232#2331C2211yescharacteristic
233#2328C2211yescharacteristic
234#2328C2211yescharacteristic
235#2327C2211yescharacteristic
236#2327C2214yes—
237#2327C2211yescharacteristic
238#2327C2211yescharacteristic
239#2327C2211yescharacteristic
240#2327C2211yescharacteristic
241#2327C2211yescharacteristic
242#2327C2211yescharacteristic
243#2327C2214yes—
244#2327C2211yescharacteristic
245#2325C2214yes—
246#2323C2212yes—
247#2323C2212yes—
248#2322C2214yes—
249#2319C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×C22⋊Q8C2212yes—
252C4×#123C2214yes—
253C4×#123C2214yes—
254C4×#121C2212yes—
255C4×#121C2212yes—
256C4×#121C2212yes—
257C4×#121C2212yes—
258C2×#391C2211yescharacteristic
259C2×#391C2211yescharacteristic
260#2290C2212yes—
261#2290C2212yes—
262C2×#387C2214yes—
263C2×#387C2214yes—
264C2×#387C2214yes—
265#2283C2211yescharacteristic
266C2×#382C2211yescharacteristic
267#2275C2212yes—
268C2×#376C2211yescharacteristic
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2314yes—
272C22×#41C2311yescharacteristic
273C22×#41C2312yes—
274C23×Q8C2311yescharacteristic
275C23×Q8C2311yescharacteristic
276#559—28no—
277#559—28no—
278#559—216no—
279#559—216no—
280Q82—28no—
281#557—28no—
282#556—28no—
283#556—216no—
284#554—28no—
285#554—216no—
286#553—216no—
287#553—232no—
288#550—28no—
289#550—28no—
290#548—216no—
291#548—216no—
292#547—232no—
293#547—216no—
294#547—216no—
295#542—232no—
296#542—216no—
297#532—216no—
298#532—216no—
299#532D4116yescomplemented
300C2×C4⋊Q8—28no—
301C2×C4⋊Q8C2314yes—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#127C2311yescharacteristic
314#529—216no—
315#529—232no—
316#529—216no—
317#529—28no—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×#121C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373#520—216no—
374C4×#41—216no—
375C4×#41—216no—
376C4×#41—28no—
377C2×C4×Q8—28no—
378C2×C4×Q8—28no—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2314yes—
431C2×#117C2314yes—
432C2×#117C2312yes—
433C2×#117C2311yescharacteristic
434C2×#117C2314yes—
435C22×C4⋊C4C2314yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2314yes—
438C22×C4⋊C4C2314yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C42C2312yes—
444C22×C42C2314yes—
445C22×C42C2312yes—
446C22×C42C2312yes—
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450#400C2312yes—
451#400C2314yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2314yes—
457#400C2312yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#399C2312yes—
462#399C2314yes—
463#399C2314yes—
464#399C2312yes—
465#399C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2312yes—
470#398C2314yes—
471#398C2312yes—
472#398C2312yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#395C2312yes—
501#395C2314yes—
502#395C2312yes—
503#395C2312yes—
504#395C2312yes—
505#395C2312yes—
506#395C2314yes—
507#395C2314yes—
508#395C2312yes—
509#395C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#393C2312yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#393C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2312yes—
537#392C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2314yes—
551#391C2314yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2314yes—
556#391C2314yes—
557#391C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#384C2314yes—
699#383C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2314yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2312yes—
711#381C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2312yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2312yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2314yes—
755#376C2311yescharacteristic
756#376C2311yescharacteristic
757#376C2311yescharacteristic
758#376C2312yes—
759#376C2312yes—
760#376C2311yescharacteristic
761#376C2312yes—
762C2×#95C2314yes—
763C2×#95C2312yes—
764C2×#95C2314yes—
765C2×#95C2312yes—
766C2×#95C2314yes—
767C2×#95C2314yes—
768C2×#95C2314yes—
769C2×#95C2314yes—
770C2×#95C2314yes—
771C2×#41—28no—
772C2×#41—28no—
773C2×#41—28no—
774C2×#41—28no—
775C2×#41—216no—
776C2×#41—24no—
777C2×#41—48no—
778C2×#41—44no—
779C2×#41—48no—
780C2×#41—48no—
781C2×#41—44no—
782C2×#41—44no—
783C2×#41C2×D4116yes—
784C22×Q8—24no—
785C22×Q8—24no—
786C22×Q8—24no—
787C22×Q8—24no—
788C22×Q8—42no—
789C22×Q8—42no—
790C22×Q8C2411yescharacteristic
791C22×Q8C2411yescharacteristic
792C22×Q8C2412yes—
793C22×Q8C2412yes—
794C22×Q8C2411yescharacteristic
795C22×Q8C2411yescharacteristic
796C22×Q8C2411yescharacteristic
797C22×Q8C2411yescharacteristic
798C22×Q8C2414yes—
799C22×Q8C2412yes—
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2411yescharacteristic
807C22×D4C2411yescharacteristic
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2414yes—
811C22×D4C2412yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2414yes—
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2414yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C4⋊Q8—28no—
836C4⋊Q8—216no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840C4⋊Q8—28no—
841C4⋊Q8—216no—
842C4⋊Q8—24no—
843C4⋊Q8C2×D418yes—
844C4⋊Q8#4118yescomplemented
845#127—28no—
846#127—28no—
847#127C2×D418yes—
848#126—216no—
849#126—216no—
850#126—216no—
851#126—216no—
852#126—28no—
853#125—216no—
854#125—28no—
855#125—28no—
856#125—24no—
857#124—28no—
858#124—28no—
859#124—28no—
860#124—28no—
861#124—28no—
862#124—216no—
863#124—216no—
864#124—216no—
865#124—24no—
866#124C2×D4116yes—
867#123—216no—
868#123—216no—
869#123—216no—
870#123—28no—
871#123—216no—
872#123—216no—
873#123—216no—
874#123—216no—
875#123—216no—
876#123—216no—
877#123—48no—
878C22⋊Q8—216no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—216no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—216no—
886C22⋊Q8—216no—
887C22⋊Q8—216no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890#121—28no—
891#121—216no—
892#121—216no—
893#121—216no—
894#121—216no—
895#121—28no—
896#121—216no—
897#121—24no—
898#121—216no—
899#121—44no—
900#121—44no—
901#121C2×D4116yes—
902#121C2×D4116yes—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—28no—
911C4×Q8—24no—
912C4×Q8—28no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—28no—
918C4×Q8—24no—
919C4×Q8—28no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×D4—216no—
924C4×D4—28no—
925C4×D4—216no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—216no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—216no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—216no—
936C4×D4—216no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—216no—
940C4×D4—216no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—48no—
950C4×D4C2×D4116yes—
951C4×D4C2×D4116yes—
952#117—24no—
953#117—216no—
954#117—28no—
955#117—216no—
956#117—216no—
957#117—28no—
958#117—28no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—216no—
964C2×C4⋊C4—28no—
965C2×C4⋊C4—216no—
966C2×C4⋊C4—216no—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C42—28no—
1072C2×C42—28no—
1073C2×C42—216no—
1074C2×C42—28no—
1075C2×C42—24no—
1076C2×C42—42no—
1077C2×C42C2×D418yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2512yes—
1165C24C2512yes—
1166C24C2514yes—
1167C24C2511yescharacteristic
1168#41—432no—
1169#41—416no—
1170#41—432no—
1171#41—432no—
1172#41—832no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—28no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—416no—
1198C2×Q8—416no—
1199C2×Q8C22×D418yes—
1200C2×Q8C2×#4114yes—
1201C2×Q8C2×#4114yes—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4C22×D4116yes—
1237C2×D4C22×D418yes—
1238C2×D4C22×D418yes—
1239C2×D4C22×D418yes—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—24no—
1251C22×C4—28no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4C22×D414yes—
1296C22×C4C22×D414yes—
1297C22×C4C22×D414yes—
1298C22×C4C22×D4116yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2514yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4C22×D418yes—
1380C4⋊C4C22×D418yes—
1381C4⋊C4C2×#41116yes—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4C22×D4116yes—
1429C22⋊C4C22×D4116yes—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—28no—
1435C42—24no—
1436C42—28no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—28no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—42no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42C22×D414yes—
1454C42C22×D414yes—
1455C42C22×D414yes—
1456C42C22×D414yes—
1457C42C2×#4114yes—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—24no—
1462C23—24no—
1463C23—24no—
1464C23—24no—
1465C23—24no—
1466C23—24no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23C23×D418yes—
1482C23C23×D412yes—
1483C23#58514yes—
1484C23C2611yescharacteristic
1485Q8—28no—
1486Q8—28no—
1487Q8—48no—
1488Q8—48no—
1489Q8—48no—
1490Q8—44no—
1491Q8—44no—
1492Q8—44no—
1493Q8—44no—
1494Q8—88no—
1495D4—232no—
1496D4—216no—
1497D4—48no—
1498D4—48no—
1499D4—416no—
1500D4—416no—
1501D4—44no—
1502D4—44no—
1503D4—48no—
1504D4—48no—
1505D4—84no—
1506D4—88no—
1507D4—88no—
1508D4—84no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—28no—
1524C2×C4—28no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—44no—
1573C2×C4—416no—
1574C2×C4—48no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—416no—
1578C2×C4—416no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—88no—
1584C2×C4—84no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—88no—
1590C2×C4—164no—
1591C2×C4C23×D412yes—
1592C2×C4C23×D412yes—
1593C2×C4C23×D412yes—
1594C2×C4C23×D412yes—
1595C2×C4C23×D418yes—
1596C2×C4C23×D412yes—
1597C2×C4C23×D412yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4#58512yes—
1603C22—24no—
1604C22—22no—
1605C22—22no—
1606C22—24no—
1607C22—28no—
1608C22—28no—
1609C22—28no—
1610C22—44no—
1611C22—44no—
1612C22—44no—
1613C22—44no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22#348514yes—
1629C22C24×D411yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C2×#58512yes—
1632C22C2×#58511yescharacteristic
1633C222−1+612yes—
1634C4—24no—
1635C4—22no—
1636C4—22no—
1637C4—28no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—24no—
1642C4—24no—
1643C4—42no—
1644C4—44no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4D4×#4114yes—
1661C2—24no—
1662C2—48no—
1663C2—82no—
1664C2—82no—
1665C2C2×D4×#4111yescharacteristic
1666C2C2×#348511yescharacteristic
1667C2#6285911yescharacteristic
1668C2#6297112yes—
1669C2#6300512yes—
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×#3522C2semidirect
2. C2×#3480C2semidirect
3. #59806C2semidirect
4. #59409C2semidirect
5. #59318C2semidirect
6. #59141C2semidirect
7. #59125C2semidirect
8. #59063C2semidirect
9. #45389C2semidirect
10. #45387C2semidirect
11. #45338C2semidirect
12. #45143C2semidirect
13. #45141C2semidirect
14. #45141C2semidirect
15. #45138C2semidirect
16. #45137C2semidirect
17. #44843C2semidirect
18. #44778C2semidirect
19. #39847C2semidirect
20. #38369C2semidirect
21. #38363C2semidirect
22. #36217C2semidirect
23. #35654C2semidirect
24. #35636C2semidirect
25. #35245C2semidirect
26. #35155C2semidirect
27. #34971C2semidirect
28. #34876C2semidirect
29. #34289C2semidirect
30. #34222C2semidirect
31. C2×#2327C2semidirect
299. #532D4semidirect
844. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#34802
#598062
#594092
#593182
#591412
#591252
#590632
#453892
#453872
#453382
#451432
#451412
#451382
#451372
#448432
#447782
#398472
#383692
#383632
#362172
#356542
#356362
#352452
#351552
#349712
#348762
#342892
#342222
C2×#23272