Finite Group Databasebeta

← #7968383

Subgroups — #7968383

Order 512.

5380 conjugacy classes of subgroups.

The subgroup lattice has 1830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59856C212yesmaximal, complemented
2#59410C211yesmaximal, characteristic, complemented
3#59377C212yesmaximal, complemented
4#59235C211yesmaximal, characteristic, complemented
5#59217C211yesmaximal, characteristic, complemented
6#51551C214yesmaximal, complemented
7#48634C214yesmaximal, complemented
8#45646C212yesmaximal, complemented
9#45519C212yesmaximal, complemented
10#44981C212yesmaximal, complemented
11#44975C212yesmaximal, complemented
12#43278C214yesmaximal, complemented
13#42591C212yesmaximal, complemented
14#42478C212yesmaximal, complemented
15#41035C214yesmaximal, complemented
16#40193C212yesmaximal, complemented
17#39884C212yesmaximal, complemented
18#39761C211yesmaximal, characteristic, complemented
19#39471C212yesmaximal, complemented
20#39272C212yesmaximal, complemented
21#39030C212yesmaximal, complemented
22#38923C211yesmaximal, characteristic, complemented
23#36504C211yesmaximal, characteristic, complemented
24#36259C211yesmaximal, characteristic, complemented
25#36194C211yesmaximal, characteristic, complemented
26#36147C212yesmaximal, complemented
27#36127C211yesmaximal, characteristic, complemented
28#36100C211yesmaximal, characteristic, complemented
29#35236C211yesmaximal, characteristic, complemented
30#35176C211yesmaximal, characteristic, complemented
31#35014C212yesmaximal, complemented
32#34976C211yesmaximal, characteristic, complemented
33#34727C211yesmaximal, characteristic, complemented
34#34460C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#547C2212yes—
38C2×#547C2211yescharacteristic
39C2×#547C2212yescomplemented
40C2×#546C2211yescharacteristic
41C2×#532C2212yescomplemented
42C2×#529C2211yescharacteristic
43C2×#525C2212yes—
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic, complemented
46C22×C4×D4C2211yescharacteristic
47#2868C2211yescharacteristic, complemented
48#2857C2211yescharacteristic
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2857C2211yescharacteristic, complemented
52#2855C2212yescomplemented
53#2854C2212yes—
54#2850C2212yescomplemented
55#2848C2212yes—
56#2848C2212yes—
57#2847C2212yes—
58#2826C2214yescomplemented
59#2816C2214yes—
60#2802C2214yescomplemented
61#2800C2214yescomplemented
62#2798C2214yescomplemented
63#2797C2214yes—
64#2796C2214yescomplemented
65#2793C2214yescomplemented
66#2786C2214yescomplemented
67#2781C2214yescomplemented
68#2781C2214yescomplemented
69#2780C2214yes—
70#2779C2214yes—
71#2773C2214yescomplemented
72#2761C2214yescomplemented
73#2754C2214yescomplemented
74#2744C2214yescomplemented
75#2743C2214yescomplemented
76#2724C2214yescomplemented
77#2722C2214yescomplemented
78#2716C2214yescomplemented
79#2710C2214yescomplemented
80#2710C2214yescomplemented
81#2706C2214yes—
82#2706C2214yes—
83#2705C2214yescomplemented
84#2703C2214yes—
85#2703C2214yescomplemented
86#2701C2214yescomplemented
87#2697C2214yes—
88#2695C2214yes—
89#2691C2214yescomplemented
90#2685C2214yes—
91#2678C2214yes—
92#2678C2214yes—
93#2667C2214yescomplemented
94#2648C2214yes—
95#2646C2214yescomplemented
96#2640C2212yes—
97#2636C2214yes—
98#2630C2214yescomplemented
99#2626C2214yes—
100#2625C2212yescomplemented
101#2615C2214yes—
102#2609C2214yes—
103#2609C2214yescomplemented
104#2602C2214yes—
105#2601C2214yescomplemented
106#2597C2214yescomplemented
107#2589C2214yes—
108#2589C2214yescomplemented
109#2587C2214yes—
110#2587C2214yescomplemented
111#2582C2211yescharacteristic, complemented
112#2579C2214yes—
113#2575C2214yescomplemented
114#2571C2212yescomplemented
115#2569C2214yescomplemented
116#2563C2212yes—
117#2562C2212yes—
118#2562C2212yes—
119#2562C2212yescomplemented
120#2557C2214yescomplemented
121#2554C2214yescomplemented
122#2552C2211yescharacteristic, complemented
123#2547C2212yescomplemented
124#2547C2212yescomplemented
125#2546C2211yescharacteristic, complemented
126#2542C2211yescharacteristic
127#2540C2212yes—
128#2540C2212yes—
129#2540C2212yescomplemented
130#2538C2212yes—
131#2538C2211yescharacteristic
132#2538C2211yescharacteristic
133#2538C2211yescharacteristic, complemented
134#2537C2211yescharacteristic
135#2537C2211yescharacteristic
136#2537C2212yes—
137#2537C2211yescharacteristic
138#2537C2212yescomplemented
139#2536C2212yescomplemented
140#2522C2214yescomplemented
141#2522C2214yescomplemented
142#2513C2214yescomplemented
143#2512C2212yes—
144#2511C2212yescomplemented
145#2508C2212yescomplemented
146#2507C2212yescomplemented
147#2499C2212yescomplemented
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yescomplemented
151#2497C2212yescomplemented
152#2496C2212yescomplemented
153#2492C2212yes—
154#2492C2212yescomplemented
155#2492C2212yescomplemented
156#2490C2212yes—
157#2489C2212yescomplemented
158#2487C2212yes—
159#2487C2214yescomplemented
160#2486C2212yescomplemented
161#2485C2212yes—
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2479C2214yescomplemented
166#2479C2212yescomplemented
167#2476C2214yescomplemented
168#2471C2212yes—
169#2467C2214yes—
170#2467C2214yescomplemented
171#2467C2212yescomplemented
172#2459C2214yes—
173#2457C2214yescomplemented
174#2456C2212yes—
175#2455C2214yes—
176#2454C2212yes—
177#2454C2211yescharacteristic, complemented
178#2453C2212yescomplemented
179#2448C2211yescharacteristic, complemented
180#2444C2214yescomplemented
181#2441C2211yescharacteristic, complemented
182#2439C2212yes—
183#2439C2212yescomplemented
184#2439C2212yescomplemented
185#2432C2214yescomplemented
186#2431C2212yescomplemented
187#2431C2211yescharacteristic, complemented
188#2429C2212yes—
189#2429C2212yescomplemented
190#2429C2212yescomplemented
191#2428C2211yescharacteristic
192#2427C2212yes—
193#2426C2212yescomplemented
194#2425C2214yescomplemented
195#2424C2214yes—
196#2423C2211yescharacteristic
197#2423C2212yescomplemented
198#2423C2212yescomplemented
199#2423C2212yescomplemented
200#2422C2212yes—
201#2422C2212yescomplemented
202#2422C2214yescomplemented
203#2422C2212yescomplemented
204#2420C2212yes—
205#2418C2214yes—
206#2417C2212yes—
207#2417C2212yes—
208#2417C2212yescomplemented
209#2416C2212yes—
210#2416C2212yes—
211#2415C2212yes—
212#2415C2212yescomplemented
213#2414C2212yes—
214#2414C2211yescharacteristic
215#2414C2214yescomplemented
216#2413C2214yescomplemented
217#2411C2214yes—
218#2408C2212yes—
219#2408C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2211yescharacteristic
224#2407C2212yescomplemented
225#2404C2214yes—
226#2397C2212yes—
227#2392C2214yescomplemented
228#2392C2212yescomplemented
229#2378C2214yescomplemented
230#2376C2214yescomplemented
231#2369C2212yescomplemented
232#2367C2211yescharacteristic
233#2364C2214yes—
234#2364C2212yes—
235#2363C2211yescharacteristic
236#2363C2212yes—
237#2363C2212yescomplemented
238#2361C2212yes—
239#2360C2211yescharacteristic
240#2359C2212yes—
241#2359C2214yescomplemented
242#2358C2212yes—
243#2355C2212yescomplemented
244#2355C2211yescharacteristic, complemented
245#2354C2211yescharacteristic
246#2354C2212yes—
247#2354C2212yescomplemented
248#2354C2212yescomplemented
249#2352C2211yescharacteristic
250#2352C2212yescomplemented
251#2349C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic, complemented
254D4×C4⋊C4C2211yescharacteristic, complemented
255D4×C4⋊C4C2212yescomplemented
256#2345C2212yescomplemented
257#2344C2212yescomplemented
258#2342C2212yes—
259#2341C2212yescomplemented
260#2339C2211yescharacteristic
261#2339C2214yescomplemented
262#2339C2212yescomplemented
263D4×C22⋊C4C2211yescharacteristic
264#2335C2214yescomplemented
265#2331C2212yescomplemented
266#2330C2212yescomplemented
267#2329C2214yescomplemented
268#2324C2212yes—
269#2324C2212yes—
270#2322C2214yescomplemented
271#2319C2212yes—
272#2316C2212yescomplemented
273#2312C2214yes—
274#2311C2214yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2295C2211yescharacteristic, complemented
292C2×#389C2212yescomplemented
293#2290C2212yescomplemented
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2314yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#556—44no—
306#547—216no—
307#547—44no—
308#547—48no—
309#546—28no—
310#532—48no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317#529—44no—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327#525—48no—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#120C2312yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C4×#41—44no—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4—44no—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2314yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2314yes—
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#399C2312yes—
440#399C2314yes—
441#399C2314yes—
442#399C2312yes—
443#399C2312yes—
444#399C2314yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2312yes—
522#392C2312yes—
523#392C2314yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2312yes—
537#391C2311yescharacteristic
538#391C2312yes—
539#391C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#382C2314yes—
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#379C2314yes—
769#379C2314yes—
770#379C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—216no—
826C2×#41—48no—
827C2×#41—42no—
828C2×#41—42no—
829C2×#41—42no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—84no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2414yes—
838C22×D4—24no—
839C22×D4—42no—
840C22×D4—42no—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C23×C4—44no—
860C23×C4—44no—
861C23×C4—44no—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C4⋊Q8—28no—
885C4⋊Q8—24no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—82no—
889#127—24no—
890#126—44no—
891#126—48no—
892#126—84no—
893#125—44no—
894#125—42no—
895#124—24no—
896#124—42no—
897#124—44no—
898#124—48no—
899#123—28no—
900#123—216no—
901#123—216no—
902#123—48no—
903#123—48no—
904#123—44no—
905#123—48no—
906#123—48no—
907C22⋊Q8—216no—
908C22⋊Q8—24no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—42no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919#121—28no—
920#121—28no—
921#121—24no—
922#121—28no—
923#121—28no—
924#121—24no—
925#121—28no—
926#121—48no—
927#121—44no—
928#121—42no—
929#121—44no—
930#121—42no—
931#121—44no—
932#121—44no—
933#121—48no—
934#121—84no—
935#120—28no—
936#120—48no—
937#120—84no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—44no—
941C4×Q8—42no—
942C4×Q8—42no—
943C4×Q8—44no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—28no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—42no—
956C4×D4—42no—
957C4×D4—42no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—48no—
972C4×D4—48no—
973C4×D4—84no—
974C4×D4#4118yescomplemented
975#117—44no—
976#117—44no—
977#117—44no—
978#117—42no—
979#117—42no—
980#117—44no—
981#117—44no—
982#117—82no—
983#117—84no—
984#117—82no—
985C2×C4⋊C4—28no—
986C2×C4⋊C4—28no—
987C2×C4⋊C4—42no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—48no—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C22⋊C4—28no—
1053C2×C22⋊C4—28no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C42—24no—
1125C2×C42—24no—
1126C2×C42—44no—
1127C2×C42—44no—
1128C2×C42—44no—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2411yescharacteristic
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216C24—24no—
1217C24—24no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24—42no—
1223C24C2512yes—
1224C24C2512yes—
1225C24C2511yescharacteristic
1226C24C2512yes—
1227C24C2512yes—
1228C24C2511yescharacteristic
1229#41—416no—
1230#41—416no—
1231#41—832no—
1232#41—816no—
1233C2×Q8—22no—
1234C2×Q8—28no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—28no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—41no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—416no—
1298C2×D4C2×#4114yes—
1299C2×D4H(5,𝔽2)14yes—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—28no—
1303C22×C4—22no—
1304C22×C4—28no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—28no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—28no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—44no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—44no—
1365C22×C4—816no—
1366C22×C4C2×#4118yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2514yes—
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2514yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—28no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—28no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—41no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4C2×#4114yes—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—22no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—22no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—24no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4C2×#4118yes—
1526C22⋊C42−1+414yes—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—22no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—42no—
1545C42—42no—
1546C42—42no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—44no—
1553C42—41no—
1554C42C2×#4114yes—
1555C42H(5,𝔽2)14yes—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—48no—
1596C23—48no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23C22×#4114yes—
1603C23C2×H(5,𝔽2)14yes—
1604C23C2×2−1+412yes—
1605C23C2611yescharacteristic
1606Q8—44no—
1607Q8—44no—
1608Q8—48no—
1609Q8—88no—
1610D4—28no—
1611D4—28no—
1612D4—48no—
1613D4—44no—
1614D4—48no—
1615D4—48no—
1616D4—416no—
1617D4—48no—
1618D4—48no—
1619D4—48no—
1620D4—44no—
1621D4—44no—
1622D4—84no—
1623D4—84no—
1624D4—88no—
1625D4—88no—
1626D4—84no—
1627D4—164no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—48no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—416no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—48no—
1710C2×C4—48no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—44no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4—88no—
1721C2×C4—88no—
1722C2×C4—84no—
1723C2×C4—84no—
1724C2×C4—84no—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C22×#4114yes—
1728C2×C4C22×#4112yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×2−1+412yes—
1734C2×C4C2×2−1+412yes—
1735C2×C4#58512yes—
1736C2×C4#58512yes—
1737C22—24no—
1738C22—24no—
1739C22—22no—
1740C22—24no—
1741C22—24no—
1742C22—22no—
1743C22—24no—
1744C22—22no—
1745C22—24no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—41no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—41no—
1754C22—42no—
1755C22—42no—
1756C22—41no—
1757C22—42no—
1758C22—42no—
1759C22—41no—
1760C22—42no—
1761C22—42no—
1762C22—41no—
1763C22—42no—
1764C22—41no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—816no—
1780C22C23×#4111yescharacteristic
1781C22C22×H(5,𝔽2)11yescharacteristic
1782C22C22×H(5,𝔽2)11yescharacteristic
1783C22C22×2−1+411yescharacteristic
1784C22C2×#58511yescharacteristic
1785C22C2×#58511yescharacteristic
1786C22H(7,𝔽2)11yescharacteristic
1787C4—24no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—44no—
1794C4—44no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—42no—
1802C4—41no—
1803C4—42no—
1804C4—44no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—41no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4—44no—
1814C4#350614yes—
1815C4#354214yes—
1816C2—44no—
1817C2—44no—
1818C2—42no—
1819C2—82no—
1820C2—81no—
1821C2—82no—
1822C2C2×#354211yescharacteristic
1823C2C2×#350611yescharacteristic
1824C2#6280511yescharacteristic
1825C2#6293711yescharacteristic
1826C2#6294411yescharacteristic
1827C2#6298311yescharacteristic
1828C2#6301311yescharacteristic
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. #59856C2semidirect
2. #59410C2semidirect
3. #59377C2semidirect
4. #59235C2semidirect
5. #59217C2semidirect
6. #51551C2semidirect
7. #48634C2semidirect
8. #45646C2semidirect
9. #45519C2semidirect
10. #44981C2semidirect
11. #44975C2semidirect
12. #43278C2semidirect
13. #42591C2semidirect
14. #42478C2semidirect
15. #41035C2semidirect
16. #40193C2semidirect
17. #39884C2semidirect
18. #39761C2semidirect
19. #39471C2semidirect
20. #39272C2semidirect
21. #39030C2semidirect
22. #38923C2semidirect
23. #36504C2semidirect
24. #36259C2semidirect
25. #36194C2semidirect
26. #36147C2semidirect
27. #36127C2semidirect
28. #36100C2semidirect
29. #35236C2semidirect
30. #35176C2semidirect
31. #35014C2semidirect
32. #34976C2semidirect
33. #34727C2semidirect
34. #34460C2semidirect
35. C4×#546C2semidirect
36. C2×#556C22semidirect
39. C2×#547C22semidirect
41. C2×#532C22semidirect
45. C2×C4×#41C22semidirect
47. #2868C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2855C22semidirect
54. #2850C22semidirect
58. #2826C22semidirect
60. #2802C22semidirect
61. #2800C22semidirect
62. #2798C22semidirect
64. #2796C22semidirect
65. #2793C22semidirect
66. #2786C22semidirect
67. #2781C22semidirect
68. #2781C22semidirect
71. #2773C22semidirect
72. #2761C22semidirect
73. #2754C22semidirect
74. #2744C22semidirect
75. #2743C22semidirect
76. #2724C22semidirect
77. #2722C22semidirect
78. #2716C22semidirect
79. #2710C22semidirect
80. #2710C22semidirect
83. #2705C22semidirect
85. #2703C22semidirect
86. #2701C22semidirect
89. #2691C22semidirect
93. #2667C22semidirect
95. #2646C22semidirect
98. #2630C22semidirect
100. #2625C22semidirect
103. #2609C22semidirect
105. #2601C22semidirect
106. #2597C22semidirect
108. #2589C22semidirect
110. #2587C22semidirect
111. #2582C22semidirect
113. #2575C22semidirect
114. #2571C22semidirect
115. #2569C22semidirect
119. #2562C22semidirect
120. #2557C22semidirect
121. #2554C22semidirect
122. #2552C22semidirect
123. #2547C22semidirect
124. #2547C22semidirect
125. #2546C22semidirect
129. #2540C22semidirect
133. #2538C22semidirect
138. #2537C22semidirect
139. #2536C22semidirect
140. #2522C22semidirect
141. #2522C22semidirect
142. #2513C22semidirect
144. #2511C22semidirect
145. #2508C22semidirect
146. #2507C22semidirect
147. #2499C22semidirect
150. #2497C22semidirect
151. #2497C22semidirect
152. #2496C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
157. #2489C22semidirect
159. #2487C22semidirect
160. #2486C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2479C22semidirect
166. #2479C22semidirect
167. #2476C22semidirect
170. #2467C22semidirect
171. #2467C22semidirect
173. #2457C22semidirect
177. #2454C22semidirect
178. #2453C22semidirect
179. #2448C22semidirect
180. #2444C22semidirect
181. #2441C22semidirect
183. #2439C22semidirect
184. #2439C22semidirect
185. #2432C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
189. #2429C22semidirect
190. #2429C22semidirect
193. #2426C22semidirect
194. #2425C22semidirect
197. #2423C22semidirect
198. #2423C22semidirect
199. #2423C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
208. #2417C22semidirect
212. #2415C22semidirect
215. #2414C22semidirect
216. #2413C22semidirect
224. #2407C22semidirect
227. #2392C22semidirect
228. #2392C22semidirect
229. #2378C22semidirect
230. #2376C22semidirect
231. #2369C22semidirect
237. #2363C22semidirect
241. #2359C22semidirect
243. #2355C22semidirect
244. #2355C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
250. #2352C22semidirect
253. D4×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. #2345C22semidirect
257. #2344C22semidirect
259. #2341C22semidirect
261. #2339C22semidirect
262. #2339C22semidirect
264. #2335C22semidirect
265. #2331C22semidirect
266. #2330C22semidirect
267. #2329C22semidirect
270. #2322C22semidirect
272. #2316C22semidirect
274. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
291. #2295C22semidirect
292. C2×#389C22semidirect
293. #2290C22semidirect
295. #2285C22semidirect
974. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598562
#594102
#593772
#592352
#592172
#515512
#486342
#456462
#455192
#449812
#449752
#432782
#425912
#424782
#410352
#401932
#398842
#397612
#394712
#392722
#390302
#389232
#365042
#362592
#361942
#361472
#361272
#361002
#352362
#351762
#350142
#349762
#347272
#344602
C4×#5462