Finite Group Databasebeta

← #7732017

Subgroups — #7732017

Order 512.

8236 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#49561C214yesmaximal, complemented
4#49558C214yesmaximal, complemented
5#46418C214yesmaximal, complemented
6#46415C214yesmaximal, complemented
7#43887C214yesmaximal, complemented
8#43020C214yesmaximal, complemented
9#39340C212yesmaximal, complemented
10#39335C212yesmaximal, complemented
11#38032C212yesmaximal, complemented
12#38025C212yesmaximal, complemented
13#37761C212yesmaximal, complemented
14#37745C212yesmaximal, complemented
15#37703C212yesmaximal, complemented
16#37685C212yesmaximal, complemented
17#37651C212yesmaximal, complemented
18#37648C212yesmaximal, complemented
19#37442C211yesmaximal, characteristic, complemented
20#37379C212yesmaximal, complemented
21#37272C212yesmaximal, complemented
22#36360C212yesmaximal, complemented
23#36274C212yesmaximal, complemented
24#35660C212yesmaximal, complemented
25#35520C212yesmaximal, complemented
26#35251C211yesmaximal, characteristic, complemented
27#35010C211yesmaximal, characteristic, complemented
28C2×#2407C211yesmaximal, characteristic, complemented
29#34360C211yesmaximal, characteristic, complemented
30C22×2−1+4C2211yescharacteristic, complemented
31C23×#41C2211yescharacteristic
32#3489—216no—
33C2×D4×Q8C2212yes—
34C2×#548C2212yescomplemented
35C2×#547C2212yescomplemented
36C2×#547C2214yescomplemented
37C2×#546C2212yes—
38C2×#546C2214yes—
39#3460—216no—
40C2×#544C2211yescharacteristic
41C2×#542C2212yescomplemented
42C2×#542C2212yescomplemented
43C2×#540C2212yescomplemented
44C2×#540C2212yescomplemented
45C2×#538C2212yes—
46C2×#538C2211yescharacteristic
47C2×#538C2211yescharacteristic
48C2×#537C2211yescharacteristic
49C2×#537C2212yescomplemented
50C2×#537C2211yescharacteristic, complemented
51C2×#537C2212yescomplemented
52C2×#537C2211yescharacteristic, complemented
53C2×#537C2211yescharacteristic, complemented
54C2×#536C2211yescharacteristic, complemented
55C2×#536C2212yescomplemented
56C2×#536C2212yescomplemented
57C2×#535C2212yes—
58C2×#532C2212yescomplemented
59C2×#532C2212yescomplemented
60C2×#529C2212yescomplemented
61C2×#529C2212yescomplemented
62C2×#525C2212yes—
63C2×#525C2211yescharacteristic
64C2×#525C2212yes—
65C2×#525C2211yescharacteristic
66C22×C22⋊Q8C2212yes—
67C22×C22⋊Q8C2211yescharacteristic
68C22×C22⋊Q8C2211yescharacteristic
69C22×#121C2211yescharacteristic
70C2×#520C2211yescharacteristic, complemented
71C2×C4×#41C2212yes—
72C22×C4×D4C2211yescharacteristic
73#2857C2212yescomplemented
74#2855C2212yes—
75#2855C2212yescomplemented
76#2854C2212yescomplemented
77#2850C2212yescomplemented
78#2848C2212yes—
79#2848C2212yes—
80#2847C2212yes—
81#2814C2214yescomplemented
82#2730C2214yescomplemented
83#2729C2214yescomplemented
84#2723C2214yescomplemented
85#2720C2214yescomplemented
86#2718C2214yescomplemented
87#2715C2214yescomplemented
88#2712C2214yescomplemented
89#2710C2214yescomplemented
90#2708C2214yescomplemented
91#2706C2214yescomplemented
92#2706C2214yescomplemented
93#2704C2214yescomplemented
94#2703C2214yescomplemented
95#2702C2214yescomplemented
96#2699C2214yescomplemented
97#2696C2214yescomplemented
98#2692C2214yescomplemented
99#2688C2214yescomplemented
100#2688C2214yescomplemented
101#2687C2214yescomplemented
102#2686C2214yescomplemented
103#2682C2214yescomplemented
104#2682C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2677C2214yescomplemented
109#2677C2214yescomplemented
110#2676C2214yescomplemented
111#2675C2214yescomplemented
112#2674C2214yescomplemented
113#2673C2214yescomplemented
114#2673C2214yescomplemented
115#2672C2214yescomplemented
116#2672C2214yescomplemented
117#2671C2214yescomplemented
118#2671C2214yescomplemented
119#2671C2214yescomplemented
120#2671C2214yescomplemented
121#2671C2214yescomplemented
122#2659C2212yes—
123#2639C2212yes—
124#2627C2212yes—
125#2627C2212yescomplemented
126#2626C2212yes—
127#2625C2212yescomplemented
128#2621C2212yescomplemented
129#2620C2212yescomplemented
130#2618C2212yescomplemented
131#2616C2212yescomplemented
132#2616C2212yescomplemented
133#2616C2212yescomplemented
134#2615C2212yescomplemented
135#2615C2212yescomplemented
136#2592C2212yescomplemented
137#2582C2212yescomplemented
138#2580C2212yescomplemented
139#2579C2214yescomplemented
140#2568C2212yescomplemented
141#2564C2214yescomplemented
142#2557C2214yescomplemented
143#2555C2214yescomplemented
144#2553C2214yescomplemented
145#2543C2214yescomplemented
146#2542C2212yescomplemented
147#2540C2212yescomplemented
148#2537C2214yescomplemented
149#2537C2212yescomplemented
150#2536C2212yescomplemented
151#2491C2214yescomplemented
152#2487C2212yescomplemented
153#2486C2212yescomplemented
154#2481C2214yescomplemented
155#2479C2214yescomplemented
156#2477C2214yescomplemented
157#2476C2214yescomplemented
158#2473C2214yescomplemented
159#2473C2214yescomplemented
160#2472C2214yes—
161#2471C2214yescomplemented
162#2468C2214yescomplemented
163#2464C2214yescomplemented
164#2464C2214yescomplemented
165#2461C2214yescomplemented
166#2459C2214yescomplemented
167#2458C2214yescomplemented
168#2456C2214yescomplemented
169#2455C2214yescomplemented
170#2451C2214yescomplemented
171#2450C2214yes—
172#2450C2214yescomplemented
173#2450C2214yescomplemented
174#2443C2214yes—
175#2443C2214yescomplemented
176#2440C2214yes—
177#2440C2214yescomplemented
178#2439C2214yescomplemented
179#2438C2214yes—
180#2438C2214yescomplemented
181#2437C2214yes—
182#2436C2214yescomplemented
183#2434C2214yescomplemented
184#2432C2214yescomplemented
185#2431C2214yescomplemented
186#2430C2214yescomplemented
187#2430C2214yescomplemented
188#2430C2214yescomplemented
189#2430C2214yescomplemented
190#2430C2214yescomplemented
191#2428C2214yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2424C2214yes—
195#2418C2214yes—
196#2418C2214yes—
197#2417C2212yes—
198#2417C2212yes—
199#2417C2212yescomplemented
200#2417C2212yescomplemented
201#2417C2212yescomplemented
202#2416C2212yescomplemented
203#2416C2214yescomplemented
204#2415C2212yescomplemented
205#2414C2212yescomplemented
206#2412C2214yes—
207#2410C2214yes—
208#2410C2214yes—
209#2409C2212yes—
210#2409C2212yescomplemented
211#2409C2212yescomplemented
212#2409C2212yescomplemented
213#2409C2212yescomplemented
214#2408C2212yes—
215#2408C2214yes—
216#2407C2212yes—
217#2407C2212yes—
218#2407C2214yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2214yes—
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2404C2214yes—
227C2×#394C2212yes—
228C2×#392C2212yes—
229#2376C2214yescomplemented
230#2358C2214yes—
231#2358C2214yes—
232#2352C2212yes—
233#2352C2212yescomplemented
234#2349C2214yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yescomplemented
237#2342C2214yes—
238#2339C2214yes—
239#2329C2212yes—
240#2329C2212yescomplemented
241#2325C2212yes—
242#2325C2212yescomplemented
243#2324C2212yescomplemented
244#2323C2212yescomplemented
245#2315C2212yes—
246#2314C2212yescomplemented
247#2311C2212yescomplemented
248#2311C2211yescharacteristic, complemented
249#2311C2211yescharacteristic, complemented
250#2308C2212yes—
251C4×C22⋊Q8C2212yescomplemented
252C4×#121C2212yescomplemented
253#2297C2212yescomplemented
254C2×#391C2211yescharacteristic
255C2×#391C2212yescomplemented
256C2×#390C2211yescharacteristic
257C2×#386C2212yes—
258C2×#385C2212yes—
259C2×#380C2211yescharacteristic
260C2×#380C2211yescharacteristic
261C2×2−1+4—28no—
262C2×2−1+4—44no—
263C2×2−1+4—44no—
264C22×#41—28no—
265C22×#41—44no—
266C22×#41—44no—
267C22×#41C2311yescharacteristic
268C22×#41C2311yescharacteristic
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2312yes—
273C22×#41C2311yescharacteristic
274C22×#41C2312yes—
275C22×#41C2312yes—
276C22×#41C2314yes—
277C22×#41C2312yes—
278C22×#41C2311yescharacteristic
279C22×#41C2311yescharacteristic
280C23×Q8C2311yescharacteristic
281C23×Q8C2312yes—
282C23×Q8C2311yescharacteristic
283C23×Q8C2312yes—
284C23×D4C2311yescharacteristic
285C23×D4C2311yescharacteristic
286C23×D4C2312yes—
287C23×D4C2312yes—
288C24×C4C2312yes—
289C24×C4C2311yescharacteristic
290C24×C4C2311yescharacteristic
291D4×Q8—216no—
292#548—216no—
293#547—232no—
294#547—216no—
295#546—232no—
296#546—216no—
297#544—28no—
298#542—216no—
299#542—216no—
300#540—216no—
301#540—216no—
302#538—28no—
303#538—28no—
304#538—216no—
305#537—28no—
306#537—28no—
307#537—216no—
308#537—48no—
309#537—44no—
310#537—44no—
311#536—216no—
312#536—28no—
313#536—48no—
314#535—216no—
315#532—216no—
316#532—216no—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2314yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324#529—216no—
325#529—216no—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#126C2312yes—
329C2×#126C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341#525—28no—
342#525—216no—
343#525—216no—
344#525D4116yescomplemented
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×C22⋊Q8—28no—
362C2×C22⋊Q8—216no—
363C2×C22⋊Q8—44no—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×#121—44no—
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2312yes—
399C2×#121C2311yescharacteristic
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#120C2314yes—
433C2×#120C2312yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436C2×#120C2314yes—
437C2×#120C2312yes—
438#520—28no—
439C4×#41—216no—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×D4—28no—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×#117C2311yescharacteristic
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2314yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2312yes—
484C22×C22⋊C4C2312yes—
485C22×C22⋊C4C2311yescharacteristic
486C22×C22⋊C4C2312yes—
487C22×C22⋊C4C2314yes—
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2312yes—
490C22×C22⋊C4C2312yes—
491C22×C22⋊C4C2312yes—
492C22×C22⋊C4C2312yes—
493C22×C22⋊C4C2312yes—
494C22×C42C2312yes—
495C22×C42C2312yes—
496C22×C42C2311yescharacteristic
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2312yes—
589#391C2314yes—
590#391C2312yes—
591#391C2312yes—
592#391C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2314yes—
598#391C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#385C2314yes—
683#385C2314yes—
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#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#384C2312yes—
710#384C2314yes—
711#382C2314yes—
712#382C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#379C2314yes—
743#379C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753C2×#95C2312yes—
754C2×#95C2312yes—
755C2×#95C2312yes—
756C2×#95C2314yes—
757C2×#95C2312yes—
758C2×#95C2314yes—
759C25C2412yes—
760C25C2411yescharacteristic
761C25C2411yescharacteristic
7622−1+4—464no—
763C2×#41—24no—
764C2×#41—24no—
765C2×#41—28no—
766C2×#41—28no—
767C2×#41—216no—
768C2×#41—24no—
769C2×#41—24no—
770C2×#41—28no—
771C2×#41—24no—
772C2×#41—28no—
773C2×#41—24no—
774C2×#41—28no—
775C2×#41—24no—
776C2×#41—28no—
777C2×#41—24no—
778C2×#41—24no—
779C2×#41—28no—
780C2×#41—28no—
781C2×#41—42no—
782C2×#41—42no—
783C2×#41—44no—
784C2×#41—44no—
785C2×#41—42no—
786C2×#41—42no—
787C2×#41—44no—
788C2×#41—44no—
789C2×#41—44no—
790C2×#41—44no—
791C2×#41—44no—
792C2×#41—48no—
793C2×#41—42no—
794C2×#41—42no—
795C2×#41—42no—
796C2×#41—42no—
797C2×#41—44no—
798C2×#41—44no—
799C2×#41—44no—
800C2×#41—48no—
801C2×#41—464no—
802C2×#41C2×D418yescomplemented
803C22×Q8—28no—
804C22×Q8—24no—
805C22×Q8—28no—
806C22×Q8—24no—
807C22×Q8—28no—
808C22×Q8—24no—
809C22×Q8—44no—
810C22×Q8—42no—
811C22×Q8—44no—
812C22×Q8—42no—
813C22×Q8—42no—
814C22×Q8—44no—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×D4—24no—
826C22×D4—28no—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—42no—
831C22×D4—44no—
832C22×D4—42no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—82no—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C23×C4—28no—
867C23×C4—24no—
868C23×C4—42no—
869C23×C4—42no—
870C23×C4—44no—
871C23×C4—42no—
872C23×C4—42no—
873C23×C4—44no—
874C23×C4C2×D418yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C4⋊Q8—28no—
908C4⋊Q8—28no—
909C4⋊Q8—216no—
910C4⋊Q8—28no—
911C4⋊Q8—48no—
912#127—28no—
913#127—28no—
914#126—28no—
915#126—28no—
916#126—28no—
917#126—28no—
918#125—28no—
919#125—28no—
920#124—28no—
921#124—28no—
922#124—28no—
923#124—28no—
924#124—28no—
925#124—28no—
926#124—216no—
927#124—28no—
928#124—48no—
929#123—28no—
930#123—28no—
931#123—28no—
932#123—28no—
933#123—216no—
934#123—28no—
935#123—216no—
936#123—28no—
937#123—28no—
938#123—216no—
939#123—216no—
940#123—48no—
941#123—48no—
942#123—84no—
943#123—84no—
944#123C2×D4116yescomplemented
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—24no—
953C22⋊Q8—24no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—216no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—48no—
965C22⋊Q8—44no—
966C22⋊Q8—48no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8C2×D418yes—
975C22⋊Q8C2×D418yescomplemented
976#121—28no—
977#121—28no—
978#121—28no—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—28no—
983#121—28no—
984#121—216no—
985#121—216no—
986#121—216no—
987#121—28no—
988#121—28no—
989#121—24no—
990#121—24no—
991#121—28no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—28no—
996#121—28no—
997#121—216no—
998#121—44no—
999#121—48no—
1000#121—48no—
1001#121—48no—
1002#121—48no—
1003#121—48no—
1004#121—44no—
1005#121—44no—
1006#121—44no—
1007#121—48no—
1008#121—84no—
1009#121—84no—
1010#121C2×D418yes—
1011#121C2×D418yescomplemented
1012#120—28no—
1013#120—28no—
1014#120—216no—
1015#120—28no—
1016#120—48no—
1017#120C2×D4116yes—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×D4—28no—
1022C4×D4—216no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—48no—
1038C4×D4—84no—
1039C4×D4—84no—
1040C4×D4C2×D4116yes—
1041C4×D4C2×D4116yescomplemented
1042#117—24no—
1043#117—28no—
1044#117—28no—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—44no—
1049#117C2×D418yescomplemented
1050C2×C4⋊C4—24no—
1051C2×C4⋊C4—24no—
1052C2×C4⋊C4—28no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—216no—
1055C2×C4⋊C4—42no—
1056C2×C4⋊C4—42no—
1057C2×C4⋊C4—44no—
1058C2×C4⋊C4—44no—
1059C2×C4⋊C4—42no—
1060C2×C4⋊C4—42no—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C22⋊C4—24no—
1111C2×C22⋊C4—28no—
1112C2×C22⋊C4—24no—
1113C2×C22⋊C4—28no—
1114C2×C22⋊C4—216no—
1115C2×C22⋊C4—44no—
1116C2×C22⋊C4—44no—
1117C2×C22⋊C4—44no—
1118C2×C22⋊C4—82no—
1119C2×C22⋊C4—82no—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C42—24no—
1181C2×C42—28no—
1182C2×C42—28no—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2414yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—22no—
1230C24—22no—
1231C24—24no—
1232C24—22no—
1233C24—24no—
1234C24—24no—
1235C24—24no—
1236C24—22no—
1237C24—22no—
1238C24—41no—
1239C24—41no—
1240C24—42no—
1241C24—41no—
1242C24—42no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—42no—
1247C24—41no—
1248C24—41no—
1249C24C22×D414yes—
1250C24C2512yes—
1251C24C2512yes—
1252C24C2512yes—
1253C24C2511yescharacteristic
1254C24C2511yescharacteristic
1255C24C2512yes—
1256C24C2512yes—
1257C24C2511yescharacteristic
1258#41—232no—
1259#41—416no—
1260#41—432no—
1261#41—416no—
1262#41—432no—
1263#41—416no—
1264#41—432no—
1265#41—416no—
1266#41—432no—
1267#41—432no—
1268#41—464no—
1269#41—88no—
1270#41—816no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—28no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—24no—
1280C2×Q8—22no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—22no—
1284C2×Q8—24no—
1285C2×Q8—22no—
1286C2×Q8—28no—
1287C2×Q8—24no—
1288C2×Q8—41no—
1289C2×Q8—41no—
1290C2×Q8—44no—
1291C2×Q8—42no—
1292C2×Q8—42no—
1293C2×Q8—42no—
1294C2×Q8—42no—
1295C2×Q8—41no—
1296C2×Q8—41no—
1297C2×Q8—42no—
1298C2×Q8—42no—
1299C2×Q8—416no—
1300C2×Q8—432no—
1301C2×Q8—432no—
1302C2×Q8—416no—
1303C2×Q8C22×D414yes—
1304C2×Q8H(5,𝔽2)14yes—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—28no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—28no—
1329C2×D4—28no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—416no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—44no—
1360C2×D4—416no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—432no—
1390C2×D4—816no—
1391C2×D4C22×D418yes—
1392C2×D4C22×D418yes—
1393C2×D4C22×D418yes—
1394C2×D4C22×D414yes—
1395C2×D4H(5,𝔽2)14yes—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—28no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—28no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—28no—
1439C22×C4—24no—
1440C22×C4—416no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—42no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—41no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—41no—
1463C22×C4—42no—
1464C22×C4—41no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—41no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—42no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—432no—
1486C22×C4—88no—
1487C22×C4C22×D414yes—
1488C22×C4C22×D418yes—
1489C22×C4C22×D414yes—
1490C22×C4C22×D414yes—
1491C22×C4C22×D414yes—
1492C22×C4C22×D414yes—
1493C22×C4C22×D414yes—
1494C22×C42−1+414yescomplemented
1495C22×C4C2514yes—
1496C22×C4C2512yes—
1497C22×C4C2514yes—
1498C22×C4C2514yes—
1499C22×C4C2514yes—
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2514yes—
1503C22×C4C2514yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2511yescharacteristic
1516C4⋊C4—24no—
1517C4⋊C4—28no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—44no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4C22×D414yes—
1562C4⋊C4C22×D418yes—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D418yes—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4C22×D418yes—
1621C22⋊C4C22×D418yes—
1622C22⋊C4C22×D418yes—
1623C22⋊C4C22×D418yes—
1624C22⋊C4C22×D418yes—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—28no—
1633C42—44no—
1634C42—44no—
1635C42—44no—
1636C42C22×D418yes—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—21no—
1646C23—22no—
1647C23—21no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—28no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—44no—
1688C23—44no—
1689C23—48no—
1690C23—48no—
1691C23—48no—
1692C23—44no—
1693C23—44no—
1694C23—44no—
1695C23—48no—
1696C23—82no—
1697C23—84no—
1698C23—82no—
1699C23—82no—
1700C23—82no—
1701C23—82no—
1702C23—84no—
1703C23—82no—
1704C23—82no—
1705C23—82no—
1706C23—84no—
1707C23C23×D412yes—
1708C23C23×D412yes—
1709C23C23×D414yes—
1710C23C23×D412yes—
1711C23C2×H(5,𝔽2)14yes—
1712C23C2×2−1+412yes—
1713C23#58512yes—
1714C23C2611yescharacteristic
1715Q8—28no—
1716Q8—44no—
1717Q8—416no—
1718Q8—48no—
1719Q8—48no—
1720Q8—48no—
1721Q8—48no—
1722Q8—44no—
1723Q8—82no—
1724Q8—84no—
1725D4—216no—
1726D4—216no—
1727D4—28no—
1728D4—48no—
1729D4—44no—
1730D4—48no—
1731D4—48no—
1732D4—48no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—416no—
1738D4—48no—
1739D4—48no—
1740D4—44no—
1741D4—84no—
1742D4—82no—
1743D4—84no—
1744D4—88no—
1745D4—84no—
1746D4—84no—
1747D4—88no—
1748D4—88no—
1749D4—84no—
1750D4—84no—
1751D4—84no—
1752D4—88no—
1753D4—164no—
1754C2×C4—216no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—28no—
1772C2×C4—28no—
1773C2×C4—28no—
1774C2×C4—28no—
1775C2×C4—216no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—44no—
1813C2×C4—44no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—416no—
1820C2×C4—416no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—48no—
1824C2×C4—48no—
1825C2×C4—48no—
1826C2×C4—84no—
1827C2×C4—88no—
1828C2×C4—84no—
1829C2×C4—82no—
1830C2×C4—84no—
1831C2×C4—84no—
1832C2×C4—84no—
1833C2×C4—82no—
1834C2×C4—84no—
1835C2×C4—164no—
1836C2×C4—162no—
1837C2×C4—162no—
1838C2×C4C23×D414yes—
1839C2×C4C23×D414yes—
1840C2×C4C23×D412yes—
1841C2×C4C23×D414yes—
1842C2×C4C23×D412yes—
1843C2×C4C23×D412yes—
1844C2×C4C23×D412yes—
1845C2×C4C2×H(5,𝔽2)14yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4C2×H(5,𝔽2)12yes—
1848C2×C4C2×2−1+414yes—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—24no—
1857C22—24no—
1858C22—22no—
1859C22—24no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—24no—
1864C22—22no—
1865C22—24no—
1866C22—24no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—41no—
1871C22—41no—
1872C22—42no—
1873C22—42no—
1874C22—41no—
1875C22—41no—
1876C22—42no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—88no—
1905C22—816no—
1906C22—88no—
1907C22#348914yes—
1908C22C24×D411yescharacteristic
1909C22C22×H(5,𝔽2)11yescharacteristic
1910C22C22×H(5,𝔽2)11yescharacteristic
1911C22C22×2−1+411yescharacteristic
1912C22C2×#58511yescharacteristic
1913C22H(7,𝔽2)11yescharacteristic
1914C222−1+611yescharacteristic
1915C4—22no—
1916C4—22no—
1917C4—24no—
1918C4—22no—
1919C4—24no—
1920C4—24no—
1921C4—24no—
1922C4—24no—
1923C4—42no—
1924C4—44no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—44no—
1930C4—42no—
1931C4—44no—
1932C4—44no—
1933C4—44no—
1934C4—44no—
1935C4#348414yes—
1936C2—24no—
1937C2—44no—
1938C2—42no—
1939C2—44no—
1940C2—42no—
1941C2—82no—
1942C2—82no—
1943C2—82no—
1944C2C2×#348411yescharacteristic
1945C2C2×#348911yescharacteristic
1946C2#6285311yescharacteristic
1947C2#6291511yescharacteristic
1948C2#6291711yescharacteristic
1949C2#6291811yescharacteristic
1950C2#6291911yescharacteristic
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×#3489C2semidirect
2. C2×#3460C2semidirect
3. #49561C2semidirect
4. #49558C2semidirect
5. #46418C2semidirect
6. #46415C2semidirect
7. #43887C2semidirect
8. #43020C2semidirect
9. #39340C2semidirect
10. #39335C2semidirect
11. #38032C2semidirect
12. #38025C2semidirect
13. #37761C2semidirect
14. #37745C2semidirect
15. #37703C2semidirect
16. #37685C2semidirect
17. #37651C2semidirect
18. #37648C2semidirect
19. #37442C2semidirect
20. #37379C2semidirect
21. #37272C2semidirect
22. #36360C2semidirect
23. #36274C2semidirect
24. #35660C2semidirect
25. #35520C2semidirect
26. #35251C2semidirect
27. #35010C2semidirect
28. C2×#2407C2semidirect
29. #34360C2semidirect
30. C22×2−1+4C22semidirect
34. C2×#548C22semidirect
35. C2×#547C22semidirect
36. C2×#547C22semidirect
41. C2×#542C22semidirect
42. C2×#542C22semidirect
43. C2×#540C22semidirect
44. C2×#540C22semidirect
49. C2×#537C22semidirect
50. C2×#537C22semidirect
51. C2×#537C22semidirect
52. C2×#537C22semidirect
53. C2×#537C22semidirect
54. C2×#536C22semidirect
55. C2×#536C22semidirect
56. C2×#536C22semidirect
58. C2×#532C22semidirect
59. C2×#532C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
70. C2×#520C22semidirect
73. #2857C22semidirect
75. #2855C22semidirect
76. #2854C22semidirect
77. #2850C22semidirect
81. #2814C22semidirect
82. #2730C22semidirect
83. #2729C22semidirect
84. #2723C22semidirect
85. #2720C22semidirect
86. #2718C22semidirect
87. #2715C22semidirect
88. #2712C22semidirect
89. #2710C22semidirect
90. #2708C22semidirect
91. #2706C22semidirect
92. #2706C22semidirect
93. #2704C22semidirect
94. #2703C22semidirect
95. #2702C22semidirect
96. #2699C22semidirect
97. #2696C22semidirect
98. #2692C22semidirect
99. #2688C22semidirect
100. #2688C22semidirect
101. #2687C22semidirect
102. #2686C22semidirect
103. #2682C22semidirect
104. #2682C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
108. #2677C22semidirect
109. #2677C22semidirect
110. #2676C22semidirect
111. #2675C22semidirect
112. #2674C22semidirect
113. #2673C22semidirect
114. #2673C22semidirect
115. #2672C22semidirect
116. #2672C22semidirect
117. #2671C22semidirect
118. #2671C22semidirect
119. #2671C22semidirect
120. #2671C22semidirect
121. #2671C22semidirect
125. #2627C22semidirect
127. #2625C22semidirect
128. #2621C22semidirect
129. #2620C22semidirect
130. #2618C22semidirect
131. #2616C22semidirect
132. #2616C22semidirect
133. #2616C22semidirect
134. #2615C22semidirect
135. #2615C22semidirect
136. #2592C22semidirect
137. #2582C22semidirect
138. #2580C22semidirect
139. #2579C22semidirect
140. #2568C22semidirect
141. #2564C22semidirect
142. #2557C22semidirect
143. #2555C22semidirect
144. #2553C22semidirect
145. #2543C22semidirect
146. #2542C22semidirect
147. #2540C22semidirect
148. #2537C22semidirect
149. #2537C22semidirect
150. #2536C22semidirect
151. #2491C22semidirect
152. #2487C22semidirect
153. #2486C22semidirect
154. #2481C22semidirect
155. #2479C22semidirect
156. #2477C22semidirect
157. #2476C22semidirect
158. #2473C22semidirect
159. #2473C22semidirect
161. #2471C22semidirect
162. #2468C22semidirect
163. #2464C22semidirect
164. #2464C22semidirect
165. #2461C22semidirect
166. #2459C22semidirect
167. #2458C22semidirect
168. #2456C22semidirect
169. #2455C22semidirect
170. #2451C22semidirect
172. #2450C22semidirect
173. #2450C22semidirect
175. #2443C22semidirect
177. #2440C22semidirect
178. #2439C22semidirect
180. #2438C22semidirect
182. #2436C22semidirect
183. #2434C22semidirect
184. #2432C22semidirect
185. #2431C22semidirect
186. #2430C22semidirect
187. #2430C22semidirect
188. #2430C22semidirect
189. #2430C22semidirect
190. #2430C22semidirect
191. #2428C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
199. #2417C22semidirect
200. #2417C22semidirect
201. #2417C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2415C22semidirect
205. #2414C22semidirect
210. #2409C22semidirect
211. #2409C22semidirect
212. #2409C22semidirect
213. #2409C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
229. #2376C22semidirect
233. #2352C22semidirect
236. D4×C4⋊C4C22semidirect
240. #2329C22semidirect
242. #2325C22semidirect
243. #2324C22semidirect
244. #2323C22semidirect
246. #2314C22semidirect
247. #2311C22semidirect
248. #2311C22semidirect
249. #2311C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×#121C22semidirect
253. #2297C22semidirect
255. C2×#391C22semidirect
344. #525D4semidirect
802. C2×#41C2×D4semidirect
944. #123C2×D4semidirect
975. C22⋊Q8C2×D4semidirect
1011. #121C2×D4semidirect
1041. C4×D4C2×D4semidirect
1049. #117C2×D4semidirect
1494. C22×C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#34602
#495612
#495582
#464182
#464152
#438872
#430202
#393402
#393352
#380322
#380252
#377612
#377452
#377032
#376852
#376512
#376482
#374422
#373792
#372722
#363602
#362742
#356602
#355202
#352512
#350102
C2×#24072
#343602