Finite Group Databasebeta

← #7709692

Subgroups — #7709692

Order 512.

5790 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59952C212yesmaximal, complemented
2#59945C212yesmaximal, complemented
3#59654C211yesmaximal, characteristic, complemented
4#59640C211yesmaximal, characteristic, complemented
5#59427C211yesmaximal, characteristic, complemented
6#59412C211yesmaximal, characteristic, complemented
7#46054C212yesmaximal, complemented
8#46043C212yesmaximal, complemented
9#45833C214yesmaximal, complemented
10#40164C212yesmaximal, complemented
11#40142C212yesmaximal, complemented
12#39881C212yesmaximal, complemented
13#39858C212yesmaximal, complemented
14#39725C211yesmaximal, characteristic, complemented
15#39596C211yesmaximal, characteristic, complemented
16#39471C211yesmaximal, characteristic, complemented
17#39342C211yesmaximal, characteristic, complemented
18#38862C214yesmaximal, complemented
19#38838C214yesmaximal, complemented
20#37969C212yesmaximal, complemented
21#37782C212yesmaximal, complemented
22#37513C212yesmaximal, complemented
23#36918C214yesmaximal, complemented
24#36639C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36195C212yesmaximal, complemented
27#36174C211yesmaximal, characteristic, complemented
28#36174C211yesmaximal, characteristic, complemented
29#36125C211yesmaximal, characteristic, complemented
30#36124C212yesmaximal, complemented
31D4×#124C211yesmaximal, characteristic, complemented
32#35190C212yesmaximal, complemented
33#35129C212yesmaximal, complemented
34#34415C212yesmaximal, complemented
35C4×#532C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2212yescomplemented
39C2×#547C2211yescharacteristic, complemented
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#535C2212yes—
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2212yescomplemented
47C2×#529C2212yescomplemented
48C22×#124C2212yes—
49C2×C4×#41C2212yescomplemented
50#2862C2211yescharacteristic, complemented
51#2862C2211yescharacteristic, complemented
52#2861C2212yescomplemented
53#2861C2212yescomplemented
54#2861C2212yescomplemented
55#2860C2212yescomplemented
56#2860C2212yescomplemented
57#2859C2211yescharacteristic, complemented
58#2858C2211yescharacteristic
59#2858C2211yescharacteristic
60#2858C2211yescharacteristic
61#2857C2211yescharacteristic, complemented
62#2856C2211yescharacteristic
63#2854C2212yescomplemented
64#2854C2212yescomplemented
65#2850C2212yes—
66#2850C2212yes—
67#2850C2211yescharacteristic
68#2850C2211yescharacteristic
69#2850C2212yescomplemented
70#2850C2212yescomplemented
71#2850C2212yescomplemented
72#2850C2212yescomplemented
73#2850C2211yescharacteristic, complemented
74#2850C2211yescharacteristic, complemented
75#2850C2212yescomplemented
76#2832C2214yescomplemented
77#2828C2214yescomplemented
78#2803C2214yescomplemented
79#2785C2214yescomplemented
80#2783C2214yescomplemented
81#2782C2214yescomplemented
82#2763C2214yescomplemented
83#2763C2214yescomplemented
84#2753C2214yescomplemented
85#2753C2214yescomplemented
86#2733C2214yescomplemented
87#2723C2214yescomplemented
88#2720C2214yescomplemented
89#2718C2214yescomplemented
90#2714C2214yescomplemented
91#2712C2214yescomplemented
92#2712C2214yescomplemented
93#2711C2214yescomplemented
94#2710C2214yescomplemented
95#2706C2214yescomplemented
96#2703C2214yescomplemented
97#2696C2214yescomplemented
98#2692C2214yescomplemented
99#2685C2214yescomplemented
100#2684C2214yescomplemented
101#2681C2214yescomplemented
102#2678C2214yes—
103#2678C2214yescomplemented
104#2676C2214yescomplemented
105#2673C2214yescomplemented
106#2670C2214yes—
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2669C2214yes—
110#2635C2214yescomplemented
111#2635C2214yescomplemented
112#2635C2214yescomplemented
113#2632C2214yescomplemented
114#2631C2214yescomplemented
115#2631C2214yescomplemented
116#2628C2212yescomplemented
117#2619C2212yescomplemented
118#2615C2212yes—
119#2615C2212yescomplemented
120#2610C2214yescomplemented
121#2610C2214yescomplemented
122#2610C2214yescomplemented
123#2598C2214yescomplemented
124#2598C2214yescomplemented
125#2598C2214yescomplemented
126#2592C2212yes—
127#2592C2212yescomplemented
128#2580C2212yes—
129#2580C2212yescomplemented
130#2572C2214yescomplemented
131#2572C2214yescomplemented
132#2568C2212yescomplemented
133#2567C2212yescomplemented
134#2555C2214yescomplemented
135#2555C2214yescomplemented
136#2548C2211yescharacteristic
137#2548C2212yescomplemented
138#2548C2212yescomplemented
139#2547C2211yescharacteristic
140#2546C2211yescharacteristic, complemented
141#2545C2212yes—
142#2544C2212yescomplemented
143#2542C2212yescomplemented
144#2541C2211yescharacteristic
145#2541C2212yes—
146#2540C2212yes—
147#2540C2212yescomplemented
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic, complemented
150#2537C2211yescharacteristic
151#2537C2211yescharacteristic
152#2536C2212yescomplemented
153#2535C2212yes—
154#2532C2214yescomplemented
155#2532C2214yescomplemented
156#2532C2214yescomplemented
157#2526C2214yescomplemented
158#2526C2214yescomplemented
159#2518C2214yescomplemented
160#2518C2214yescomplemented
161#2500C2214yescomplemented
162#2500C2214yescomplemented
163#2500C2212yescomplemented
164#2497C2212yescomplemented
165#2495C2212yescomplemented
166#2495C2212yescomplemented
167#2495C2212yescomplemented
168#2492C2212yescomplemented
169#2492C2212yescomplemented
170#2491C2212yes—
171#2491C2212yes—
172#2491C2212yes—
173#2491C2212yescomplemented
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2490C2212yes—
177#2490C2212yescomplemented
178#2489C2212yescomplemented
179#2489C2212yescomplemented
180#2487C2212yescomplemented
181#2482C2214yescomplemented
182#2482C2214yescomplemented
183#2472C2214yes—
184#2472C2214yes—
185#2464C2214yescomplemented
186#2464C2214yescomplemented
187#2461C2214yescomplemented
188#2461C2214yescomplemented
189#2461C2214yescomplemented
190#2459C2214yescomplemented
191#2459C2214yescomplemented
192#2459C2214yescomplemented
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2436C2212yes—
196#2435C2212yes—
197#2434C2212yescomplemented
198#2433C2212yes—
199#2433C2212yes—
200#2432C2212yescomplemented
201#2432C2212yescomplemented
202#2431C2212yes—
203#2431C2212yescomplemented
204#2431C2214yescomplemented
205#2428C2212yes—
206#2428C2212yes—
207#2428C2212yescomplemented
208#2428C2212yescomplemented
209#2424C2214yes—
210#2424C2214yescomplemented
211#2424C2214yescomplemented
212#2422C2212yes—
213#2420C2212yes—
214#2420C2212yescomplemented
215#2420C2212yescomplemented
216#2414C2212yes—
217#2414C2212yescomplemented
218#2409C2212yescomplemented
219#2409C2212yescomplemented
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yes—
223#2407C2212yes—
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2404C2214yescomplemented
228#2379C2214yescomplemented
229#2375C2214yescomplemented
230#2372C2214yescomplemented
231#2372C2214yescomplemented
232#2363C2212yes—
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2361C2212yes—
236#2361C2212yescomplemented
237#2361C2212yescomplemented
238#2358C2214yescomplemented
239#2358C2214yescomplemented
240#2357C2212yescomplemented
241#2356C2212yescomplemented
242#2355C2211yescharacteristic, complemented
243#2355C2211yescharacteristic, complemented
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic, complemented
246#2346C2212yescomplemented
247#2346C2212yescomplemented
248#2346C2212yescomplemented
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252#2328C2214yescomplemented
253#2328C2214yescomplemented
254#2326C2214yescomplemented
255#2324C2212yes—
256#2324C2212yescomplemented
257#2321C2214yescomplemented
258#2321C2214yescomplemented
259#2321C2214yescomplemented
260#2311C2212yescomplemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×#124C2211yescharacteristic, complemented
270C4×#124C2212yescomplemented
271C4×#124C2211yescharacteristic, complemented
272C4×#124C2212yescomplemented
273C4×#124C2212yescomplemented
274C4×#124C2212yescomplemented
275C4×#124C2212yescomplemented
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2211yescharacteristic, complemented
281C4×#121C2212yescomplemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284#2297C2212yescomplemented
285#2297C2212yescomplemented
286#2297C2212yescomplemented
287#2293C2211yescharacteristic
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293#2283C2212yescomplemented
294#2283C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C2×C43C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#550—44no—
307D4×Q8—44no—
308#548—48no—
309#547—44no—
310#546—48no—
311D42—44no—
312#535—216no—
313#533—44no—
314#532—28no—
315#532—44no—
316#532—48no—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2314yes—
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2312yes—
330#529—48no—
331C2×#126C2314yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#124—48no—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2311yescharacteristic
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#124C2314yes—
352C2×#124C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2311yescharacteristic
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C4×#41—48no—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2314yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C22⋊C4C2314yes—
439C22×C22⋊C4C2314yes—
440C22×C22⋊C4C2314yes—
441C22×C42C2311yescharacteristic
442C22×C42C2312yes—
443C22×C42C2312yes—
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#391C2311yescharacteristic
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
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#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2314yes—
733#383C2314yes—
734#383C2314yes—
735#383C2314yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2312yes—
746#382C2312yes—
747#382C2314yes—
748#382C2312yes—
749#381C2314yes—
750#381C2314yes—
751#381C2314yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2314yes—
814#376C2314yes—
815#376C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C25C2414yes—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C22×Q8—44no—
838C22×Q8—44no—
839C22×Q8—44no—
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2412yes—
844C22×Q8C2412yes—
845C22×Q8C2412yes—
846C22×Q8C2414yes—
847C22×D4—28no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C4⋊Q8—24no—
898C4⋊Q8—24no—
899C4⋊Q8—42no—
900C4⋊Q8—42no—
901C4⋊Q8—44no—
902C4⋊Q8—44no—
903C4⋊Q8—42no—
904#127—24no—
905#127—216no—
906#127—24no—
907#127—44no—
908#127—42no—
909#127—44no—
910#126—48no—
911#125—44no—
912#125—44no—
913#124—28no—
914#124—216no—
915#124—24no—
916#124—28no—
917#124—24no—
918#124—24no—
919#124—24no—
920#124—48no—
921#124—48no—
922#124—44no—
923#124—44no—
924#124—48no—
925#124—44no—
926#124—44no—
927#124—44no—
928#124—44no—
929#124—48no—
930#124—48no—
931#123—48no—
932#123—48no—
933#123—48no—
934C22⋊Q8—48no—
935C22⋊Q8—48no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—42no—
939C22⋊Q8—42no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944#121—28no—
945#121—28no—
946#121—24no—
947#121—28no—
948#121—28no—
949#121—44no—
950#121—48no—
951#121—48no—
952#121—44no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—42no—
960#121—42no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121#4118yescomplemented
968#120—216no—
969#120—216no—
970#120—48no—
971#120—48no—
972#120—48no—
973#120—48no—
974C4×Q8—28no—
975C4×Q8—24no—
976C4×Q8—24no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—28no—
983C4×D4—28no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—28no—
988C4×D4—24no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—48no—
992C4×D4—48no—
993C4×D4—48no—
994C4×D4—42no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—48no—
1006C4×D4—44no—
1007#117—28no—
1008#117—44no—
1009#117—44no—
1010#117—44no—
1011#117—48no—
1012#117—44no—
1013#117—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C22⋊C4—48no—
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4—48no—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—28no—
1141C2×C42—28no—
1142C2×C42—24no—
1143C2×C42—24no—
1144C2×C42—42no—
1145C2×C42—42no—
1146C2×C42—42no—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238C24—28no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24—44no—
1244C24—44no—
1245C24C2512yes—
1246C24C2514yes—
1247C24C2512yes—
1248C24C2512yes—
1249C24C2512yes—
1250C24C2511yescharacteristic
1251#41—432no—
1252#41—816no—
1253#41—816no—
1254#41—816no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—22no—
1262C2×Q8—24no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—22no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8—44no—
1271C2×Q8—44no—
1272C2×Q8—44no—
1273C2×Q8—42no—
1274C2×Q8—42no—
1275C2×Q8—42no—
1276C2×Q8—816no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—28no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—28no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—816no—
1351C2×D4—816no—
1352C2×D4C2×#4114yes—
1353C2×D4C2×#4118yes—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—28no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4C2×#4114yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2514yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4C2×#4114yes—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4C2×#4118yes—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—28no—
1565C42—22no—
1566C42—22no—
1567C42—24no—
1568C42—24no—
1569C42—24no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—24no—
1574C42—24no—
1575C42—24no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—28no—
1581C42—24no—
1582C42—24no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—41no—
1590C42—41no—
1591C42—41no—
1592C42—41no—
1593C42—41no—
1594C42—41no—
1595C42—44no—
1596C42—44no—
1597C42—44no—
1598C42H(5,𝔽2)14yes—
1599C42H(5,𝔽2)14yes—
1600C42H(5,𝔽2)14yes—
1601C23—22no—
1602C23—22no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—24no—
1620C23—22no—
1621C23—22no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—24no—
1629C23—22no—
1630C23—22no—
1631C23—24no—
1632C23—24no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—24no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—88no—
1642C23—88no—
1643C23—88no—
1644C23—88no—
1645C23—88no—
1646C23—164no—
1647C23—164no—
1648C23C22×#4114yes—
1649C23C22×#4112yes—
1650C23C2611yescharacteristic
1651Q8—48no—
1652Q8—44no—
1653Q8—48no—
1654Q8—44no—
1655Q8—84no—
1656Q8—84no—
1657Q8—88no—
1658D4—28no—
1659D4—48no—
1660D4—48no—
1661D4—48no—
1662D4—48no—
1663D4—44no—
1664D4—48no—
1665D4—44no—
1666D4—48no—
1667D4—44no—
1668D4—88no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—88no—
1674D4—88no—
1675D4—84no—
1676D4—84no—
1677D4—88no—
1678D4—88no—
1679D4—88no—
1680D4—88no—
1681D4—164no—
1682D4—164no—
1683C2×C4—28no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—28no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—48no—
1764C2×C4—48no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—48no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4—88no—
1771C2×C4—88no—
1772C2×C4—88no—
1773C2×C4—88no—
1774C2×C4C22×#4112yes—
1775C2×C4C22×#4114yes—
1776C2×C4C22×#4112yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×H(5,𝔽2)12yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4#58512yes—
1787C2×C4#58512yes—
1788C2×C4#58512yes—
1789C22—22no—
1790C22—24no—
1791C22—22no—
1792C22—24no—
1793C22—22no—
1794C22—24no—
1795C22—42no—
1796C22—41no—
1797C22—41no—
1798C22—42no—
1799C22—41no—
1800C22—42no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—44no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—44no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—44no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22—42no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—1616no—
1832C22C23×#4111yescharacteristic
1833C22C22×H(5,𝔽2)11yescharacteristic
1834C22C22×H(5,𝔽2)11yescharacteristic
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C2×#58511yescharacteristic
1837C22C2×#58511yescharacteristic
1838C22C2×#58511yescharacteristic
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—24no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—22no—
1848C4—41no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—44no—
1853C4—42no—
1854C4—41no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—41no—
1861C4—44no—
1862C4—42no—
1863C4—42no—
1864C4—41no—
1865C4—44no—
1866C4#351414yes—
1867C4#354914yes—
1868C2—42no—
1869C2—44no—
1870C2—82no—
1871C2—82no—
1872C2—84no—
1873C2—82no—
1874C2C2×#354911yescharacteristic
1875C2#6275911yescharacteristic
1876C2#6277311yescharacteristic
1877C2C2×#351411yescharacteristic
1878C2#6280011yescharacteristic
1879C2#6283011yescharacteristic
1880C2#6283611yescharacteristic
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. #59952C2semidirect
2. #59945C2semidirect
3. #59654C2semidirect
4. #59640C2semidirect
5. #59427C2semidirect
6. #59412C2semidirect
7. #46054C2semidirect
8. #46043C2semidirect
9. #45833C2semidirect
10. #40164C2semidirect
11. #40142C2semidirect
12. #39881C2semidirect
13. #39858C2semidirect
14. #39725C2semidirect
15. #39596C2semidirect
16. #39471C2semidirect
17. #39342C2semidirect
18. #38862C2semidirect
19. #38838C2semidirect
20. #37969C2semidirect
21. #37782C2semidirect
22. #37513C2semidirect
23. #36918C2semidirect
24. #36639C2semidirect
25. #36631C2semidirect
26. #36195C2semidirect
27. #36174C2semidirect
28. #36174C2semidirect
29. #36125C2semidirect
30. #36124C2semidirect
31. D4×#124C2semidirect
32. #35190C2semidirect
33. #35129C2semidirect
34. #34415C2semidirect
35. C4×#532C2semidirect
38. C2×#548C22semidirect
39. C2×#547C22semidirect
43. C2×#533C22semidirect
46. C2×#532C22semidirect
47. C2×#529C22semidirect
49. C2×C4×#41C22semidirect
50. #2862C22semidirect
51. #2862C22semidirect
52. #2861C22semidirect
53. #2861C22semidirect
54. #2861C22semidirect
55. #2860C22semidirect
56. #2860C22semidirect
57. #2859C22semidirect
61. #2857C22semidirect
63. #2854C22semidirect
64. #2854C22semidirect
69. #2850C22semidirect
70. #2850C22semidirect
71. #2850C22semidirect
72. #2850C22semidirect
73. #2850C22semidirect
74. #2850C22semidirect
75. #2850C22semidirect
76. #2832C22semidirect
77. #2828C22semidirect
78. #2803C22semidirect
79. #2785C22semidirect
80. #2783C22semidirect
81. #2782C22semidirect
82. #2763C22semidirect
83. #2763C22semidirect
84. #2753C22semidirect
85. #2753C22semidirect
86. #2733C22semidirect
87. #2723C22semidirect
88. #2720C22semidirect
89. #2718C22semidirect
90. #2714C22semidirect
91. #2712C22semidirect
92. #2712C22semidirect
93. #2711C22semidirect
94. #2710C22semidirect
95. #2706C22semidirect
96. #2703C22semidirect
97. #2696C22semidirect
98. #2692C22semidirect
99. #2685C22semidirect
100. #2684C22semidirect
101. #2681C22semidirect
103. #2678C22semidirect
104. #2676C22semidirect
105. #2673C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
110. #2635C22semidirect
111. #2635C22semidirect
112. #2635C22semidirect
113. #2632C22semidirect
114. #2631C22semidirect
115. #2631C22semidirect
116. #2628C22semidirect
117. #2619C22semidirect
119. #2615C22semidirect
120. #2610C22semidirect
121. #2610C22semidirect
122. #2610C22semidirect
123. #2598C22semidirect
124. #2598C22semidirect
125. #2598C22semidirect
127. #2592C22semidirect
129. #2580C22semidirect
130. #2572C22semidirect
131. #2572C22semidirect
132. #2568C22semidirect
133. #2567C22semidirect
134. #2555C22semidirect
135. #2555C22semidirect
137. #2548C22semidirect
138. #2548C22semidirect
140. #2546C22semidirect
142. #2544C22semidirect
143. #2542C22semidirect
147. #2540C22semidirect
149. #2538C22semidirect
152. #2536C22semidirect
154. #2532C22semidirect
155. #2532C22semidirect
156. #2532C22semidirect
157. #2526C22semidirect
158. #2526C22semidirect
159. #2518C22semidirect
160. #2518C22semidirect
161. #2500C22semidirect
162. #2500C22semidirect
163. #2500C22semidirect
164. #2497C22semidirect
165. #2495C22semidirect
166. #2495C22semidirect
167. #2495C22semidirect
168. #2492C22semidirect
169. #2492C22semidirect
173. #2491C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
177. #2490C22semidirect
178. #2489C22semidirect
179. #2489C22semidirect
180. #2487C22semidirect
181. #2482C22semidirect
182. #2482C22semidirect
185. #2464C22semidirect
186. #2464C22semidirect
187. #2461C22semidirect
188. #2461C22semidirect
189. #2461C22semidirect
190. #2459C22semidirect
191. #2459C22semidirect
192. #2459C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
197. #2434C22semidirect
200. #2432C22semidirect
201. #2432C22semidirect
203. #2431C22semidirect
204. #2431C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
210. #2424C22semidirect
211. #2424C22semidirect
214. #2420C22semidirect
215. #2420C22semidirect
217. #2414C22semidirect
218. #2409C22semidirect
219. #2409C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2404C22semidirect
228. #2379C22semidirect
229. #2375C22semidirect
230. #2372C22semidirect
231. #2372C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2358C22semidirect
239. #2358C22semidirect
240. #2357C22semidirect
241. #2356C22semidirect
242. #2355C22semidirect
243. #2355C22semidirect
245. #2354C22semidirect
246. #2346C22semidirect
247. #2346C22semidirect
248. #2346C22semidirect
252. #2328C22semidirect
253. #2328C22semidirect
254. #2326C22semidirect
256. #2324C22semidirect
257. #2321C22semidirect
258. #2321C22semidirect
259. #2321C22semidirect
260. #2311C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×#124C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. #2297C22semidirect
285. #2297C22semidirect
286. #2297C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2285C22semidirect
293. #2283C22semidirect
294. #2283C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C2×C43C22semidirect
967. #121#41semidirect

Maximal subgroups

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

subgroupindex
#599522
#599452
#596542
#596402
#594272
#594122
#460542
#460432
#458332
#401642
#401422
#398812
#398582
#397252
#395962
#394712
#393422
#388622
#388382
#379692
#377822
#375132
#369182
#366392
#366312
#361952
#361742
#361252
#361242
D4×#1242
#351902
#351292
#344152
C4×#5322