Finite Group Databasebeta

← #7655471

Subgroups — #7655471

Order 512.

8946 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×#41C212yesmaximal, complemented
2#42883C211yesmaximal, characteristic, complemented
3#42807C211yesmaximal, characteristic, complemented
4#42806C212yesmaximal, complemented
5#41404C212yesmaximal, complemented
6#40585C214yesmaximal, complemented
7#40584C212yesmaximal, complemented
8#39865C212yesmaximal, complemented
9#39864C212yesmaximal, complemented
10#39861C212yesmaximal, complemented
11#39860C212yesmaximal, complemented
12#38369C214yesmaximal, complemented
13#38368C214yesmaximal, complemented
14#38365C214yesmaximal, complemented
15#38364C214yesmaximal, complemented
16#37455C211yesmaximal, characteristic, complemented
17#37454C212yesmaximal, complemented
18#36217C212yesmaximal, complemented
19#36216C212yesmaximal, complemented
20#36213C212yesmaximal, complemented
21#36212C212yesmaximal, complemented
22#36009C211yesmaximal, characteristic, complemented
23#35761C212yesmaximal, complemented
24#35691C211yesmaximal, characteristic, complemented
25#35063C214yesmaximal, complemented
26#35031C212yesmaximal, complemented
27#34956C211yesmaximal, characteristic, complemented
28C2×#2600C212yesmaximal, complemented
29#34172C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C23×#41C2212yescomplemented
32D4×#41—232no—
33C2×#550C2212yescomplemented
34C2×D4×Q8C2212yescomplemented
35C2×#548C2212yescomplemented
36C2×#548C2212yescomplemented
37C2×#547C2212yes—
38C2×#547C2214yescomplemented
39C2×#547C2211yescharacteristic, complemented
40C2×#546C2212yes—
41C2×#546C2214yescomplemented
42C2×#546C2212yescomplemented
43C2×#546C2214yescomplemented
44C2×#546C2212yescomplemented
45C2×D42C2212yescomplemented
46C2×D42C2214yescomplemented
47C2×D42C2211yescharacteristic, complemented
48C2×#532C2212yescomplemented
49C2×#532C2214yescomplemented
50C2×#525C2214yescomplemented
51C2×#525C2212yescomplemented
52C2×#525C2212yescomplemented
53C2×#525C2214yescomplemented
54C2×#518C2211yescharacteristic, complemented
55C2×#518C2211yescharacteristic, complemented
56C2×C4×#41C2212yescomplemented
57C22×C4×D4C2214yescomplemented
58C22×C4×D4C2212yescomplemented
59#2855C2212yescomplemented
60#2854C2212yescomplemented
61#2853C2214yescomplemented
62#2853C2214yescomplemented
63#2849C2214yescomplemented
64#2849C2214yescomplemented
65#2848C2212yescomplemented
66#2847C2212yescomplemented
67#2817C2212yescomplemented
68#2816C2214yescomplemented
69#2815C2212yescomplemented
70#2812C2212yescomplemented
71#2812C2212yescomplemented
72#2734C2212yescomplemented
73#2733C2212yescomplemented
74#2732C2214yescomplemented
75#2731C2214yescomplemented
76#2730C2214yescomplemented
77#2730C2214yescomplemented
78#2729C2214yescomplemented
79#2729C2214yescomplemented
80#2728C2212yescomplemented
81#2728C2212yescomplemented
82#2717C2214yescomplemented
83#2709C2214yescomplemented
84#2708C2214yescomplemented
85#2708C2214yescomplemented
86#2688C2214yescomplemented
87#2688C2214yescomplemented
88#2686C2214yescomplemented
89#2686C2214yescomplemented
90#2684C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2671C2214yescomplemented
94#2671C2214yescomplemented
95#2669C2214yescomplemented
96#2668C2214yescomplemented
97#2668C2214yescomplemented
98#2638C2214yescomplemented
99#2638C2214yescomplemented
100#2638C2214yescomplemented
101#2638C2214yescomplemented
102#2635C2214yescomplemented
103#2635C2214yescomplemented
104#2635C2214yescomplemented
105#2635C2214yescomplemented
106#2630C2214yescomplemented
107#2630C2214yescomplemented
108#2622C2214yescomplemented
109#2621C2211yescharacteristic, complemented
110#2620C2212yescomplemented
111#2619C2211yescharacteristic, complemented
112#2617C2212yescomplemented
113#2617C2212yescomplemented
114#2617C2214yescomplemented
115#2613C2214yescomplemented
116#2602C2214yescomplemented
117#2602C2214yescomplemented
118#2600C2212yes—
119#2600C2211yescharacteristic
120#2600C2214yescomplemented
121#2600C2211yescharacteristic, complemented
122#2600C2212yescomplemented
123#2600C2214yescomplemented
124#2600C2212yescomplemented
125#2600C2212yescomplemented
126#2600C2214yescomplemented
127#2600C2214yescomplemented
128#2600C2214yescomplemented
129#2600C2214yescomplemented
130#2600C2214yescomplemented
131#2600C2212yescomplemented
132#2579C2212yescomplemented
133#2579C2212yescomplemented
134#2564C2214yescomplemented
135#2564C2214yescomplemented
136#2547C2211yescharacteristic, complemented
137#2544C2212yescomplemented
138#2543C2212yescomplemented
139#2543C2212yescomplemented
140#2543C2214yescomplemented
141#2543C2214yescomplemented
142#2541C2211yescharacteristic, complemented
143#2537C2212yescomplemented
144#2535C2211yescharacteristic, complemented
145#2535C2211yescharacteristic, complemented
146#2534C2212yescomplemented
147#2534C2212yescomplemented
148#2534C2214yescomplemented
149#2500C2212yescomplemented
150#2499C2212yescomplemented
151#2498C2214yescomplemented
152#2498C2214yescomplemented
153#2486C2212yescomplemented
154#2485C2212yescomplemented
155#2485C2212yescomplemented
156#2484C2214yescomplemented
157#2483C2211yescharacteristic, complemented
158#2482C2214yescomplemented
159#2448C2212yescomplemented
160#2448C2212yescomplemented
161#2446C2212yescomplemented
162#2446C2212yescomplemented
163#2444C2214yescomplemented
164#2444C2214yescomplemented
165#2443C2214yescomplemented
166#2443C2214yescomplemented
167#2436C2212yescomplemented
168#2434C2212yescomplemented
169#2432C2212yescomplemented
170#2432C2212yescomplemented
171#2431C2212yescomplemented
172#2431C2212yescomplemented
173#2430C2214yescomplemented
174#2430C2214yescomplemented
175#2430C2214yescomplemented
176#2430C2214yescomplemented
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2427C2212yescomplemented
180#2427C2212yescomplemented
181#2425C2214yescomplemented
182#2425C2214yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2423C2212yescomplemented
186#2423C2212yescomplemented
187#2421C2212yescomplemented
188#2421C2212yescomplemented
189#2419C2214yescomplemented
190#2419C2214yescomplemented
191#2418C2214yescomplemented
192#2418C2214yescomplemented
193#2416C2214yescomplemented
194#2415C2212yescomplemented
195#2415C2212yescomplemented
196#2414C2212yescomplemented
197#2414C2212yescomplemented
198#2412C2214yescomplemented
199#2412C2214yescomplemented
200#2410C2214yescomplemented
201#2410C2214yescomplemented
202#2410C2214yescomplemented
203#2410C2214yescomplemented
204#2409C2212yescomplemented
205#2409C2212yescomplemented
206#2408C2212yescomplemented
207#2407C2212yescomplemented
208#2407C2212yescomplemented
209#2407C2212yescomplemented
210#2407C2212yescomplemented
211#2406C2214yescomplemented
212#2406C2214yescomplemented
213#2405C2214yescomplemented
214#2405C2212yescomplemented
215#2404C2214yescomplemented
216#2404C2214yescomplemented
217#2403C2211yescharacteristic
218#2403C2214yescomplemented
219#2392C2211yescharacteristic
220#2392C2212yescomplemented
221#2392C2211yescharacteristic, complemented
222C2×#397C2212yescomplemented
223C2×#394C2214yescomplemented
224C2×#392C2212yes—
225#2349C2211yescharacteristic, complemented
226#2349C2211yescharacteristic, complemented
227D4×C4⋊C4C2212yescomplemented
228#2339C2212yescomplemented
229#2339C2212yescomplemented
230#2339C2212yescomplemented
231#2339C2212yescomplemented
232#2339C2212yescomplemented
233#2339C2212yescomplemented
234#2339C2214yescomplemented
235#2339C2214yescomplemented
236D4×C22⋊C4C2212yescomplemented
237D4×C22⋊C4C2212yescomplemented
238#2325C2214yescomplemented
239#2325C2214yescomplemented
240#2325C2214yescomplemented
241#2325C2214yescomplemented
242#2322C2214yescomplemented
243#2321C2214yescomplemented
244#2310C2211yescharacteristic, complemented
245#2310C2211yescharacteristic, complemented
246#2308C2212yescomplemented
247#2308C2212yescomplemented
248C4×#123C2212yescomplemented
249C4×#123C2212yescomplemented
250C4×#120C2212yescomplemented
251C4×#120C2212yescomplemented
252C2×#388C2214yescomplemented
253C2×#387C2214yescomplemented
254C2×#386C2214yescomplemented
255C2×#385C2214yescomplemented
256#2280C2211yescharacteristic, complemented
257#2280C2211yescharacteristic, complemented
258C2×#381C2212yescomplemented
259C2×#381C2212yescomplemented
260C22×#41—216no—
261C22×#41—44no—
262C22×#41—44no—
263C22×#41—48no—
264C22×#41—48no—
265C22×#41D4116yescomplemented
266C22×#41C2312yes—
267C22×#41C2312yes—
268C22×#41C2314yes—
269C22×#41C2314yes—
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2314yes—
273C22×#41C2312yes—
274C23×Q8C2312yes—
275C23×Q8C2311yescharacteristic
276C23×D4C2312yes—
277C23×D4C2311yescharacteristic
278C23×D4C2314yes—
279C23×D4C2312yes—
280C23×D4C2314yes—
281C23×D4C2312yes—
282C23×D4C2312yes—
283C24×C4C2312yes—
284C24×C4C2314yes—
285C24×C4C2312yes—
286C24×C4C2311yescharacteristic
287#550—216no—
288D4×Q8—216no—
289#548—216no—
290#548—216no—
291#547—216no—
292#547—232no—
293#547—44no—
294#546—216no—
295#546—232no—
296#546—216no—
297#546—232no—
298#546—48no—
299D42—216no—
300D42—232no—
301D42—44no—
302#532—232no—
303#532—216no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2314yes—
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310C2×#124C2312yes—
311C2×#124C2314yes—
312C2×#124C2312yes—
313C2×#124C2314yes—
314C2×#124C2312yes—
315#525—232no—
316#525—216no—
317#525—232no—
318#525—216no—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2312yes—
373C2×#120C2312yes—
374#518—44no—
375#518—44no—
376C4×#41—216no—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×D4—232no—
380C2×C4×D4—216no—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2314yes—
423C22×C4⋊C4C2314yes—
424C22×C4⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C42C2314yes—
437C22×C42C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2311yescharacteristic
449#398C2312yes—
450#398C2311yescharacteristic
451#398C2312yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#397C2311yescharacteristic
456#397C2312yes—
457#397C2314yes—
458#397C2311yescharacteristic
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2312yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2311yescharacteristic
519#394C2312yes—
520#394C2311yescharacteristic
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#392C2311yescharacteristic
526#392C2314yes—
527#392C2312yes—
528#392C2312yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2311yescharacteristic
533#392C2312yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#384C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#381C2312yes—
689#381C2312yes—
690#381C2312yes—
691#381C2312yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2311yescharacteristic
700#381C2312yes—
701#381C2311yescharacteristic
702#381C2312yes—
703#381C2312yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#379C2312yes—
720#379C2311yescharacteristic
721#379C2311yescharacteristic
722#379C2314yes—
723#379C2314yes—
724#379C2314yes—
725#379C2312yes—
726#379C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C2×#95C2314yes—
738C2×#95C2314yes—
739C2×#95C2314yes—
740C2×#95C2314yes—
741C2×#95C2314yes—
742C2×#95C2314yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C25C2414yes—
746C25C2412yes—
747C25C2412yes—
748C25C2411yescharacteristic
749C2×#41—28no—
750C2×#41—216no—
751C2×#41—28no—
752C2×#41—28no—
753C2×#41—28no—
754C2×#41—28no—
755C2×#41—28no—
756C2×#41—216no—
757C2×#41—28no—
758C2×#41—48no—
759C2×#41—48no—
760C2×#41—48no—
761C2×#41—48no—
762C2×#41—48no—
763C2×#41—48no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41—44no—
767C2×#41—44no—
768C2×#41—44no—
769C2×#41—44no—
770C2×#41—464no—
771C2×#41—4128no—
772C2×#41C2×D4116yes—
773C2×#41C2×D4132yescomplemented
774C2×#41C2×D4116yescomplemented
775C22×Q8—28no—
776C22×Q8—42no—
777C22×Q8—42no—
778C22×Q8—44no—
779C22×Q8—44no—
780C22×Q8C2×D418yescomplemented
781C22×Q8C2412yes—
782C22×Q8C2412yes—
783C22×Q8C2414yes—
784C22×Q8C2412yes—
785C22×D4—24no—
786C22×D4—24no—
787C22×D4—216no—
788C22×D4—28no—
789C22×D4—216no—
790C22×D4—28no—
791C22×D4—28no—
792C22×D4—28no—
793C22×D4—48no—
794C22×D4—44no—
795C22×D4—44no—
796C22×D4—44no—
797C22×D4—48no—
798C22×D4—44no—
799C22×D4—44no—
800C22×D4—48no—
801C22×D4—48no—
802C22×D4—48no—
803C22×D4C2×D418yes—
804C22×D4C2×D4116yescomplemented
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2412yes—
809C22×D4C2412yes—
810C22×D4C2414yes—
811C22×D4C2412yes—
812C22×D4C2414yes—
813C22×D4C2411yescharacteristic
814C22×D4C2412yes—
815C22×D4C2411yescharacteristic
816C22×D4C2414yes—
817C22×D4C2414yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2411yescharacteristic
832C23×C4—216no—
833C23×C4—28no—
834C23×C4—42no—
835C23×C4—42no—
836C23×C4—44no—
837C23×C4—44no—
838C23×C4—44no—
839C23×C4—44no—
840C23×C4—48no—
841C23×C4—48no—
842C23×C4C2×D418yescomplemented
843C23×C4C2×D4116yescomplemented
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2412yes—
870C4⋊Q8—28no—
871C4⋊Q8—216no—
872C4⋊Q8—42no—
873#127—28no—
874#127—216no—
875#127—42no—
876#124—28no—
877#124—216no—
878#124—28no—
879#124—216no—
880#124—44no—
881#123—216no—
882#123—216no—
883#123—216no—
884#123—216no—
885#123—216no—
886#123—216no—
887#123—44no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—44no—
892C22⋊Q8—28no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—216no—
896C22⋊Q8—28no—
897C22⋊Q8—216no—
898C22⋊Q8—28no—
899C22⋊Q8—216no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902#121—28no—
903#121—216no—
904#121—28no—
905#121—216no—
906#121—216no—
907#121—216no—
908#121—216no—
909#121—216no—
910#121—216no—
911#121—216no—
912#121—28no—
913#121—216no—
914#121—28no—
915#121—216no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—48no—
924#121—44no—
925#120—216no—
926#120—216no—
927#120—216no—
928#120—216no—
929#120—216no—
930#120—216no—
931#120—44no—
932#120—48no—
933#120—48no—
934#120—48no—
935#120—44no—
936C4×Q8—28no—
937C4×Q8—28no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—216no—
941C4×D4—28no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—28no—
946C4×D4—216no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—216no—
950C4×D4—28no—
951C4×D4—216no—
952C4×D4—28no—
953C4×D4—216no—
954C4×D4—28no—
955C4×D4—216no—
956C4×D4—28no—
957C4×D4—216no—
958C4×D4—28no—
959C4×D4—216no—
960C4×D4—216no—
961C4×D4—216no—
962C4×D4—216no—
963C4×D4—44no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—44no—
972#117—216no—
973#117—28no—
974#117—42no—
975#117—42no—
976#117—42no—
977#117—42no—
978C2×C4⋊C4—216no—
979C2×C4⋊C4—28no—
980C2×C4⋊C4—48no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C22⋊C4—216no—
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—216no—
1022C2×C22⋊C4—28no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—48no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—44no—
1028C2×C22⋊C4—44no—
1029C2×C22⋊C4—48no—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C42—216no—
1102C2×C42—28no—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163C24—24no—
1164C24—24no—
1165C24—28no—
1166C24—24no—
1167C24—28no—
1168C24—28no—
1169C24—28no—
1170C24—24no—
1171C24—44no—
1172C24—41no—
1173C24—41no—
1174C24—42no—
1175C24—42no—
1176C24—44no—
1177C24—44no—
1178C24—44no—
1179C24—44no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24—42no—
1185C24C22×D418yes—
1186C24C22×D414yes—
1187C24C2512yes—
1188C24C2514yes—
1189C24C2511yescharacteristic
1190C24C2512yes—
1191C24C2512yes—
1192C24C2512yes—
1193C24C2512yes—
1194#41—264no—
1195#41—464no—
1196#41—432no—
1197#41—464no—
1198#41—432no—
1199#41—464no—
1200#41—432no—
1201#41—432no—
1202C2×Q8—28no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—416no—
1213C2×Q8—432no—
1214C2×Q8C22×D418yes—
1215C2×Q8C22×D418yes—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—232no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—41no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—41no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—432no—
1288C2×D4—464no—
1289C2×D4—432no—
1290C2×D4—464no—
1291C2×D4—432no—
1292C2×D4—816no—
1293C2×D4C22×D4116yes—
1294C2×D4C22×D418yes—
1295C2×D4C22×D414yes—
1296C2×D4C22×D4116yes—
1297C2×D4C22×D414yes—
1298C2×D4H(5,𝔽2)14yes—
1299C2×D4H(5,𝔽2)14yes—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—28no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—28no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—28no—
1320C22×C4—28no—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—24no—
1330C22×C4—416no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—432no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—44no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—464no—
1370C22×C4—432no—
1371C22×C4C22×D4116yes—
1372C22×C4C22×D418yes—
1373C22×C4C22×D414yes—
1374C22×C4C22×D418yes—
1375C22×C4C22×D414yes—
1376C22×C4C22×D4116yes—
1377C22×C4C22×D418yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2514yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—28no—
1404C4⋊C4—24no—
1405C4⋊C4—28no—
1406C4⋊C4—24no—
1407C4⋊C4—28no—
1408C4⋊C4—28no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—41no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—41no—
1426C4⋊C4—42no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C42—24no—
1509C42—28no—
1510C42—24no—
1511C42—28no—
1512C42—24no—
1513C42—28no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—42no—
1519C42—42no—
1520C23—24no—
1521C23—24no—
1522C23—22no—
1523C23—21no—
1524C23—21no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—216no—
1543C23—24no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23—24no—
1549C23—24no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—24no—
1555C23—22no—
1556C23—24no—
1557C23—44no—
1558C23—416no—
1559C23—48no—
1560C23—416no—
1561C23—48no—
1562C23—416no—
1563C23—416no—
1564C23—48no—
1565C23—416no—
1566C23—84no—
1567C23—88no—
1568C23—88no—
1569C23—84no—
1570C23—88no—
1571C23—88no—
1572C23—84no—
1573C23—84no—
1574C23—84no—
1575C23—82no—
1576C23—84no—
1577C23—84no—
1578C23—82no—
1579C23—84no—
1580C23C23×D412yes—
1581C23C23×D414yes—
1582C23C23×D414yes—
1583C23C23×D414yes—
1584C23C2×H(5,𝔽2)14yes—
1585C23C2×H(5,𝔽2)14yes—
1586C23#58514yes—
1587C23C2611yescharacteristic
1588Q8—216no—
1589Q8—48no—
1590Q8—416no—
1591Q8—48no—
1592D4—216no—
1593D4—216no—
1594D4—232no—
1595D4—28no—
1596D4—416no—
1597D4—48no—
1598D4—416no—
1599D4—416no—
1600D4—48no—
1601D4—416no—
1602D4—44no—
1603D4—416no—
1604D4—48no—
1605D4—416no—
1606D4—416no—
1607D4—416no—
1608D4—48no—
1609D4—84no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—82no—
1615D4—84no—
1616D4—164no—
1617D4—162no—
1618D4#534116yes—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—232no—
1628C2×C4—216no—
1629C2×C4—28no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—416no—
1678C2×C4—48no—
1679C2×C4—416no—
1680C2×C4—48no—
1681C2×C4—48no—
1682C2×C4—416no—
1683C2×C4—48no—
1684C2×C4—416no—
1685C2×C4—416no—
1686C2×C4—48no—
1687C2×C4—416no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—88no—
1691C2×C4—84no—
1692C2×C4—88no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—162no—
1696C2×C4—164no—
1697C2×C4—162no—
1698C2×C4C23×D414yes—
1699C2×C4C23×D418yes—
1700C2×C4C23×D412yes—
1701C2×C4C23×D412yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4#58514yes—
1705C22—24no—
1706C22—28no—
1707C22—24no—
1708C22—28no—
1709C22—24no—
1710C22—24no—
1711C22—24no—
1712C22—24no—
1713C22—24no—
1714C22—24no—
1715C22—28no—
1716C22—22no—
1717C22—24no—
1718C22—24no—
1719C22—42no—
1720C22—42no—
1721C22—41no—
1722C22—44no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—44no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—44no—
1739C22—42no—
1740C22—44no—
1741C22—44no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—44no—
1746C22—42no—
1747C22—816no—
1748C22—832no—
1749C22—88no—
1750C22—816no—
1751C22C2×#53418yes—
1752C22C24×D411yescharacteristic
1753C22C22×H(5,𝔽2)11yescharacteristic
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C2×#58512yes—
1756C22C2×#58512yes—
1757C4—24no—
1758C4—24no—
1759C4—28no—
1760C4—22no—
1761C4—41no—
1762C4—42no—
1763C4—41no—
1764C4—42no—
1765C4—44no—
1766C4—42no—
1767C4—41no—
1768C4—42no—
1769C4—41no—
1770C4—44no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—44no—
1778C4C2×#53414yes—
1779C2—28no—
1780C2—44no—
1781C2—44no—
1782C2—44no—
1783C2—42no—
1784C2—84no—
1785C2—82no—
1786C2C22×#53411yescharacteristic
1787C2#6281112yes—
1788C2#6301711yescharacteristic
1789C2#6301812yes—
1790C2#6302111yescharacteristic
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×D4×#41C2semidirect
2. #42883C2semidirect
3. #42807C2semidirect
4. #42806C2semidirect
5. #41404C2semidirect
6. #40585C2semidirect
7. #40584C2semidirect
8. #39865C2semidirect
9. #39864C2semidirect
10. #39861C2semidirect
11. #39860C2semidirect
12. #38369C2semidirect
13. #38368C2semidirect
14. #38365C2semidirect
15. #38364C2semidirect
16. #37455C2semidirect
17. #37454C2semidirect
18. #36217C2semidirect
19. #36216C2semidirect
20. #36213C2semidirect
21. #36212C2semidirect
22. #36009C2semidirect
23. #35761C2semidirect
24. #35691C2semidirect
25. #35063C2semidirect
26. #35031C2semidirect
27. #34956C2semidirect
28. C2×#2600C2semidirect
29. #34172C2semidirect
31. C23×#41C22semidirect
33. C2×#550C22semidirect
34. C2×D4×Q8C22semidirect
35. C2×#548C22semidirect
36. C2×#548C22semidirect
38. C2×#547C22semidirect
39. C2×#547C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×#546C22semidirect
44. C2×#546C22semidirect
45. C2×D42C22semidirect
46. C2×D42C22semidirect
47. C2×D42C22semidirect
48. C2×#532C22semidirect
49. C2×#532C22semidirect
50. C2×#525C22semidirect
51. C2×#525C22semidirect
52. C2×#525C22semidirect
53. C2×#525C22semidirect
54. C2×#518C22semidirect
55. C2×#518C22semidirect
56. C2×C4×#41C22semidirect
57. C22×C4×D4C22semidirect
58. C22×C4×D4C22semidirect
59. #2855C22semidirect
60. #2854C22semidirect
61. #2853C22semidirect
62. #2853C22semidirect
63. #2849C22semidirect
64. #2849C22semidirect
65. #2848C22semidirect
66. #2847C22semidirect
67. #2817C22semidirect
68. #2816C22semidirect
69. #2815C22semidirect
70. #2812C22semidirect
71. #2812C22semidirect
72. #2734C22semidirect
73. #2733C22semidirect
74. #2732C22semidirect
75. #2731C22semidirect
76. #2730C22semidirect
77. #2730C22semidirect
78. #2729C22semidirect
79. #2729C22semidirect
80. #2728C22semidirect
81. #2728C22semidirect
82. #2717C22semidirect
83. #2709C22semidirect
84. #2708C22semidirect
85. #2708C22semidirect
86. #2688C22semidirect
87. #2688C22semidirect
88. #2686C22semidirect
89. #2686C22semidirect
90. #2684C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2671C22semidirect
94. #2671C22semidirect
95. #2669C22semidirect
96. #2668C22semidirect
97. #2668C22semidirect
98. #2638C22semidirect
99. #2638C22semidirect
100. #2638C22semidirect
101. #2638C22semidirect
102. #2635C22semidirect
103. #2635C22semidirect
104. #2635C22semidirect
105. #2635C22semidirect
106. #2630C22semidirect
107. #2630C22semidirect
108. #2622C22semidirect
109. #2621C22semidirect
110. #2620C22semidirect
111. #2619C22semidirect
112. #2617C22semidirect
113. #2617C22semidirect
114. #2617C22semidirect
115. #2613C22semidirect
116. #2602C22semidirect
117. #2602C22semidirect
120. #2600C22semidirect
121. #2600C22semidirect
122. #2600C22semidirect
123. #2600C22semidirect
124. #2600C22semidirect
125. #2600C22semidirect
126. #2600C22semidirect
127. #2600C22semidirect
128. #2600C22semidirect
129. #2600C22semidirect
130. #2600C22semidirect
131. #2600C22semidirect
132. #2579C22semidirect
133. #2579C22semidirect
134. #2564C22semidirect
135. #2564C22semidirect
136. #2547C22semidirect
137. #2544C22semidirect
138. #2543C22semidirect
139. #2543C22semidirect
140. #2543C22semidirect
141. #2543C22semidirect
142. #2541C22semidirect
143. #2537C22semidirect
144. #2535C22semidirect
145. #2535C22semidirect
146. #2534C22semidirect
147. #2534C22semidirect
148. #2534C22semidirect
149. #2500C22semidirect
150. #2499C22semidirect
151. #2498C22semidirect
152. #2498C22semidirect
153. #2486C22semidirect
154. #2485C22semidirect
155. #2485C22semidirect
156. #2484C22semidirect
157. #2483C22semidirect
158. #2482C22semidirect
159. #2448C22semidirect
160. #2448C22semidirect
161. #2446C22semidirect
162. #2446C22semidirect
163. #2444C22semidirect
164. #2444C22semidirect
165. #2443C22semidirect
166. #2443C22semidirect
167. #2436C22semidirect
168. #2434C22semidirect
169. #2432C22semidirect
170. #2432C22semidirect
171. #2431C22semidirect
172. #2431C22semidirect
173. #2430C22semidirect
174. #2430C22semidirect
175. #2430C22semidirect
176. #2430C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2427C22semidirect
180. #2427C22semidirect
181. #2425C22semidirect
182. #2425C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2423C22semidirect
186. #2423C22semidirect
187. #2421C22semidirect
188. #2421C22semidirect
189. #2419C22semidirect
190. #2419C22semidirect
191. #2418C22semidirect
192. #2418C22semidirect
193. #2416C22semidirect
194. #2415C22semidirect
195. #2415C22semidirect
196. #2414C22semidirect
197. #2414C22semidirect
198. #2412C22semidirect
199. #2412C22semidirect
200. #2410C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
203. #2410C22semidirect
204. #2409C22semidirect
205. #2409C22semidirect
206. #2408C22semidirect
207. #2407C22semidirect
208. #2407C22semidirect
209. #2407C22semidirect
210. #2407C22semidirect
211. #2406C22semidirect
212. #2406C22semidirect
213. #2405C22semidirect
214. #2405C22semidirect
215. #2404C22semidirect
216. #2404C22semidirect
218. #2403C22semidirect
220. #2392C22semidirect
221. #2392C22semidirect
222. C2×#397C22semidirect
223. C2×#394C22semidirect
225. #2349C22semidirect
226. #2349C22semidirect
227. D4×C4⋊C4C22semidirect
228. #2339C22semidirect
229. #2339C22semidirect
230. #2339C22semidirect
231. #2339C22semidirect
232. #2339C22semidirect
233. #2339C22semidirect
234. #2339C22semidirect
235. #2339C22semidirect
236. D4×C22⋊C4C22semidirect
237. D4×C22⋊C4C22semidirect
238. #2325C22semidirect
239. #2325C22semidirect
240. #2325C22semidirect
241. #2325C22semidirect
242. #2322C22semidirect
243. #2321C22semidirect
244. #2310C22semidirect
245. #2310C22semidirect
246. #2308C22semidirect
247. #2308C22semidirect
248. C4×#123C22semidirect
249. C4×#123C22semidirect
250. C4×#120C22semidirect
251. C4×#120C22semidirect
252. C2×#388C22semidirect
253. C2×#387C22semidirect
254. C2×#386C22semidirect
255. C2×#385C22semidirect
256. #2280C22semidirect
257. #2280C22semidirect
258. C2×#381C22semidirect
259. C2×#381C22semidirect
265. C22×#41D4semidirect
773. C2×#41C2×D4semidirect
774. C2×#41C2×D4semidirect
780. C22×Q8C2×D4semidirect
804. C22×D4C2×D4semidirect
842. C23×C4C2×D4semidirect
843. C23×C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×D4×#412
#428832
#428072
#428062
#414042
#405852
#405842
#398652
#398642
#398612
#398602
#383692
#383682
#383652
#383642
#374552
#374542
#362172
#362162
#362132
#362122
#360092
#357612
#356912
#350632
#350312
#349562
C2×#26002
#341722